id	sid	tid	token	lemma	pos
ejpam-6505	1	1	european	european	PROPN
ejpam-6505	1	2	journal	journal	PROPN
ejpam-6505	1	3	of	of	ADP
ejpam-6505	1	4	pure	pure	ADJ
ejpam-6505	1	5	and	and	CCONJ
ejpam-6505	1	6	applied	applied	ADJ
ejpam-6505	1	7	mathematics	mathematic	NOUN
ejpam-6505	1	8	2025	2025	NUM
ejpam-6505	1	9	,	,	PUNCT
ejpam-6505	1	10	vol	vol	NOUN
ejpam-6505	1	11	.	.	PROPN
ejpam-6505	1	12	18	18	NUM
ejpam-6505	1	13	,	,	PUNCT
ejpam-6505	1	14	issue	issue	NOUN
ejpam-6505	1	15	3	3	NUM
ejpam-6505	1	16	,	,	PUNCT
ejpam-6505	1	17	article	article	NOUN
ejpam-6505	1	18	number	number	NOUN
ejpam-6505	1	19	6505	6505	NUM
ejpam-6505	1	20	issn	issn	PROPN
ejpam-6505	1	21	1307	1307	NUM
ejpam-6505	1	22	-	-	SYM
ejpam-6505	1	23	5543	5543	NUM
ejpam-6505	1	24	–	–	PUNCT
ejpam-6505	1	25	ejpam.com	ejpam.com	X
ejpam-6505	1	26	published	publish	VERB
ejpam-6505	1	27	by	by	ADP
ejpam-6505	1	28	new	new	PROPN
ejpam-6505	1	29	york	york	PROPN
ejpam-6505	1	30	business	business	PROPN
ejpam-6505	1	31	global	global	PROPN
ejpam-6505	1	32	thermocapillary	thermocapillary	ADJ
ejpam-6505	1	33	and	and	CCONJ
ejpam-6505	1	34	photocapillary	photocapillary	ADJ
ejpam-6505	1	35	effects	effect	NOUN
ejpam-6505	1	36	on	on	ADP
ejpam-6505	1	37	a	a	DET
ejpam-6505	1	38	spherical	spherical	ADJ
ejpam-6505	1	39	droplet	droplet	NOUN
ejpam-6505	1	40	embedded	embed	VERB
ejpam-6505	1	41	in	in	ADP
ejpam-6505	1	42	a	a	DET
ejpam-6505	1	43	brinkman	brinkman	PROPN
ejpam-6505	1	44	medium	medium	PROPN
ejpam-6505	1	45	a.	a.	PROPN
ejpam-6505	1	46	s.	s.	PROPN
ejpam-6505	1	47	aamer1	aamer1	PROPN
ejpam-6505	1	48	,	,	PUNCT
ejpam-6505	1	49	baraa	baraa	ADJ
ejpam-6505	1	50	a.	a.	NOUN
ejpam-6505	1	51	ahmed2	ahmed2	PROPN
ejpam-6505	1	52	,	,	PUNCT
ejpam-6505	1	53	samar	samar	PROPN
ejpam-6505	1	54	a.	a.	PROPN
ejpam-6505	1	55	mahrous2,∗	mahrous2,∗	PROPN
ejpam-6505	1	56	1	1	NUM
ejpam-6505	1	57	department	department	NOUN
ejpam-6505	1	58	of	of	ADP
ejpam-6505	1	59	mathematics	mathematic	NOUN
ejpam-6505	1	60	and	and	CCONJ
ejpam-6505	1	61	computer	computer	NOUN
ejpam-6505	1	62	science	science	NOUN
ejpam-6505	1	63	,	,	PUNCT
ejpam-6505	1	64	faculty	faculty	NOUN
ejpam-6505	1	65	of	of	ADP
ejpam-6505	1	66	science	science	NOUN
ejpam-6505	1	67	,	,	PUNCT
ejpam-6505	1	68	alexandria	alexandria	PROPN
ejpam-6505	1	69	university	university	PROPN
ejpam-6505	1	70	,	,	PUNCT
ejpam-6505	1	71	alexandria	alexandria	PROPN
ejpam-6505	1	72	,	,	PUNCT
ejpam-6505	1	73	egypt	egypt	PROPN
ejpam-6505	1	74	2	2	NUM
ejpam-6505	1	75	institute	institute	NOUN
ejpam-6505	1	76	of	of	ADP
ejpam-6505	1	77	basic	basic	ADJ
ejpam-6505	1	78	and	and	CCONJ
ejpam-6505	1	79	applied	apply	VERB
ejpam-6505	1	80	science	science	NOUN
ejpam-6505	1	81	,	,	PUNCT
ejpam-6505	1	82	college	college	NOUN
ejpam-6505	1	83	of	of	ADP
ejpam-6505	1	84	engineering	engineering	PROPN
ejpam-6505	1	85	,	,	PUNCT
ejpam-6505	1	86	arab	arab	PROPN
ejpam-6505	1	87	academy	academy	PROPN
ejpam-6505	1	88	for	for	ADP
ejpam-6505	1	89	science	science	NOUN
ejpam-6505	1	90	,	,	PUNCT
ejpam-6505	1	91	technology	technology	NOUN
ejpam-6505	1	92	and	and	CCONJ
ejpam-6505	1	93	maritime	maritime	ADJ
ejpam-6505	1	94	transport	transport	NOUN
ejpam-6505	1	95	,	,	PUNCT
ejpam-6505	1	96	alexandria	alexandria	PROPN
ejpam-6505	1	97	,	,	PUNCT
ejpam-6505	1	98	egypt	egypt	PROPN
ejpam-6505	1	99	abstract	abstract	PROPN
ejpam-6505	1	100	.	.	PUNCT
ejpam-6505	2	1	this	this	DET
ejpam-6505	2	2	study	study	NOUN
ejpam-6505	2	3	develops	develop	VERB
ejpam-6505	2	4	an	an	DET
ejpam-6505	2	5	analytical	analytical	ADJ
ejpam-6505	2	6	formulation	formulation	NOUN
ejpam-6505	2	7	to	to	PART
ejpam-6505	2	8	investigate	investigate	VERB
ejpam-6505	2	9	the	the	DET
ejpam-6505	2	10	thermocapillary	thermocapillary	ADJ
ejpam-6505	2	11	and	and	CCONJ
ejpam-6505	2	12	photocapillary	photocapillary	ADJ
ejpam-6505	2	13	migration	migration	NOUN
ejpam-6505	2	14	dynamics	dynamic	NOUN
ejpam-6505	2	15	of	of	ADP
ejpam-6505	2	16	a	a	DET
ejpam-6505	2	17	spherical	spherical	ADJ
ejpam-6505	2	18	fluid	fluid	NOUN
ejpam-6505	2	19	droplet	droplet	NOUN
ejpam-6505	2	20	suspended	suspend	VERB
ejpam-6505	2	21	within	within	ADP
ejpam-6505	2	22	a	a	DET
ejpam-6505	2	23	saturated	saturate	VERB
ejpam-6505	2	24	,	,	PUNCT
ejpam-6505	2	25	homogeneous	homogeneous	ADJ
ejpam-6505	2	26	,	,	PUNCT
ejpam-6505	2	27	and	and	CCONJ
ejpam-6505	2	28	isotropic	isotropic	ADJ
ejpam-6505	2	29	porous	porous	ADJ
ejpam-6505	2	30	matrix	matrix	NOUN
ejpam-6505	2	31	,	,	PUNCT
ejpam-6505	2	32	assuming	assume	VERB
ejpam-6505	2	33	local	local	ADJ
ejpam-6505	2	34	thermal	thermal	ADJ
ejpam-6505	2	35	equilibrium	equilibrium	NOUN
ejpam-6505	2	36	.	.	PUNCT
ejpam-6505	3	1	a	a	DET
ejpam-6505	3	2	uniform	uniform	ADJ
ejpam-6505	3	3	external	external	ADJ
ejpam-6505	3	4	thermal	thermal	ADJ
ejpam-6505	3	5	gradient	gradient	NOUN
ejpam-6505	3	6	,	,	PUNCT
ejpam-6505	3	7	parallel	parallel	ADJ
ejpam-6505	3	8	to	to	ADP
ejpam-6505	3	9	an	an	DET
ejpam-6505	3	10	adiabatic	adiabatic	ADJ
ejpam-6505	3	11	boundary	boundary	NOUN
ejpam-6505	3	12	,	,	PUNCT
ejpam-6505	3	13	drives	drive	VERB
ejpam-6505	3	14	the	the	DET
ejpam-6505	3	15	migration	migration	NOUN
ejpam-6505	3	16	.	.	PUNCT
ejpam-6505	4	1	the	the	DET
ejpam-6505	4	2	analysis	analysis	NOUN
ejpam-6505	4	3	operates	operate	VERB
ejpam-6505	4	4	under	under	ADP
ejpam-6505	4	5	low	low	ADJ
ejpam-6505	4	6	péclet	péclet	PROPN
ejpam-6505	4	7	(	(	PUNCT
ejpam-6505	4	8	pe	pe	X
ejpam-6505	4	9	≪	≪	ADJ
ejpam-6505	4	10	1	1	NUM
ejpam-6505	4	11	)	)	PUNCT
ejpam-6505	4	12	and	and	CCONJ
ejpam-6505	4	13	reynolds	reynold	NOUN
ejpam-6505	4	14	(	(	PUNCT
ejpam-6505	4	15	re	re	X
ejpam-6505	4	16	≪	≪	ADJ
ejpam-6505	4	17	1	1	NUM
ejpam-6505	4	18	)	)	PUNCT
ejpam-6505	4	19	numbers	number	NOUN
ejpam-6505	4	20	,	,	PUNCT
ejpam-6505	4	21	implying	imply	VERB
ejpam-6505	4	22	negligible	negligible	ADJ
ejpam-6505	4	23	advective	advective	ADJ
ejpam-6505	4	24	heat	heat	NOUN
ejpam-6505	4	25	transport	transport	NOUN
ejpam-6505	4	26	and	and	CCONJ
ejpam-6505	4	27	inertial	inertial	ADJ
ejpam-6505	4	28	effects	effect	NOUN
ejpam-6505	4	29	,	,	PUNCT
ejpam-6505	4	30	respectively	respectively	ADV
ejpam-6505	4	31	.	.	PUNCT
ejpam-6505	5	1	consequently	consequently	ADV
ejpam-6505	5	2	,	,	PUNCT
ejpam-6505	5	3	the	the	DET
ejpam-6505	5	4	thermal	thermal	ADJ
ejpam-6505	5	5	field	field	NOUN
ejpam-6505	5	6	is	be	AUX
ejpam-6505	5	7	governed	govern	VERB
ejpam-6505	5	8	by	by	ADP
ejpam-6505	5	9	laplace	laplace	NOUN
ejpam-6505	5	10	’s	’s	PART
ejpam-6505	5	11	equation	equation	NOUN
ejpam-6505	5	12	,	,	PUNCT
ejpam-6505	5	13	internal	internal	ADJ
ejpam-6505	5	14	droplet	droplet	ADJ
ejpam-6505	5	15	fluid	fluid	NOUN
ejpam-6505	5	16	motion	motion	NOUN
ejpam-6505	5	17	by	by	ADP
ejpam-6505	5	18	stokes	stoke	NOUN
ejpam-6505	5	19	equations	equation	NOUN
ejpam-6505	5	20	,	,	PUNCT
ejpam-6505	5	21	and	and	CCONJ
ejpam-6505	5	22	interstitial	interstitial	ADJ
ejpam-6505	5	23	flow	flow	NOUN
ejpam-6505	5	24	by	by	ADP
ejpam-6505	5	25	the	the	DET
ejpam-6505	5	26	brinkman	brinkman	PROPN
ejpam-6505	5	27	equation	equation	NOUN
ejpam-6505	5	28	.	.	PUNCT
ejpam-6505	6	1	analytical	analytical	ADJ
ejpam-6505	6	2	expressions	expression	NOUN
ejpam-6505	6	3	for	for	ADP
ejpam-6505	6	4	the	the	DET
ejpam-6505	6	5	droplet	droplet	ADJ
ejpam-6505	6	6	’s	’s	PART
ejpam-6505	6	7	translational	translational	ADJ
ejpam-6505	6	8	velocities	velocity	NOUN
ejpam-6505	6	9	and	and	CCONJ
ejpam-6505	6	10	associated	associate	VERB
ejpam-6505	6	11	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	6	12	forces	force	NOUN
ejpam-6505	6	13	are	be	AUX
ejpam-6505	6	14	derived	derive	VERB
ejpam-6505	6	15	,	,	PUNCT
ejpam-6505	6	16	examining	examine	VERB
ejpam-6505	6	17	the	the	DET
ejpam-6505	6	18	influence	influence	NOUN
ejpam-6505	6	19	of	of	ADP
ejpam-6505	6	20	the	the	DET
ejpam-6505	6	21	brinkman	brinkman	PROPN
ejpam-6505	6	22	parameter	parameter	PROPN
ejpam-6505	6	23	(	(	PUNCT
ejpam-6505	6	24	α	α	NOUN
ejpam-6505	6	25	)	)	PUNCT
ejpam-6505	6	26	,	,	PUNCT
ejpam-6505	6	27	thermal	thermal	ADJ
ejpam-6505	6	28	conductivity	conductivity	NOUN
ejpam-6505	6	29	ratio	ratio	NOUN
ejpam-6505	6	30	(	(	PUNCT
ejpam-6505	6	31	k	k	NOUN
ejpam-6505	6	32	)	)	PUNCT
ejpam-6505	6	33	,	,	PUNCT
ejpam-6505	6	34	and	and	CCONJ
ejpam-6505	6	35	viscosity	viscosity	NOUN
ejpam-6505	6	36	ratio	ratio	NOUN
ejpam-6505	6	37	(	(	PUNCT
ejpam-6505	6	38	σ	σ	NOUN
ejpam-6505	6	39	)	)	PUNCT
ejpam-6505	6	40	on	on	ADP
ejpam-6505	6	41	droplet	droplet	ADJ
ejpam-6505	6	42	kinematics	kinematic	NOUN
ejpam-6505	6	43	.	.	PUNCT
ejpam-6505	7	1	furthermore	furthermore	ADV
ejpam-6505	7	2	,	,	PUNCT
ejpam-6505	7	3	the	the	DET
ejpam-6505	7	4	limiting	limit	VERB
ejpam-6505	7	5	stokes	stoke	NOUN
ejpam-6505	7	6	(	(	PUNCT
ejpam-6505	7	7	high	high	ADJ
ejpam-6505	7	8	permeability	permeability	NOUN
ejpam-6505	7	9	)	)	PUNCT
ejpam-6505	7	10	and	and	CCONJ
ejpam-6505	7	11	darcy	darcy	PROPN
ejpam-6505	7	12	(	(	PUNCT
ejpam-6505	7	13	low	low	ADJ
ejpam-6505	7	14	permeability	permeability	NOUN
ejpam-6505	7	15	)	)	PUNCT
ejpam-6505	7	16	flow	flow	NOUN
ejpam-6505	7	17	regimes	regime	NOUN
ejpam-6505	7	18	are	be	AUX
ejpam-6505	7	19	analyzed	analyze	VERB
ejpam-6505	7	20	.	.	PUNCT
ejpam-6505	8	1	2020	2020	NUM
ejpam-6505	8	2	mathematics	mathematics	PROPN
ejpam-6505	8	3	subject	subject	NOUN
ejpam-6505	8	4	classifications	classification	NOUN
ejpam-6505	8	5	:	:	PUNCT
ejpam-6505	8	6	76s05	76s05	NUM
ejpam-6505	8	7	,	,	PUNCT
ejpam-6505	8	8	76d07	76d07	NUM
ejpam-6505	8	9	,	,	PUNCT
ejpam-6505	8	10	76t30	76t30	NUM
ejpam-6505	8	11	key	key	ADJ
ejpam-6505	8	12	words	word	NOUN
ejpam-6505	8	13	and	and	CCONJ
ejpam-6505	8	14	phrases	phrase	NOUN
ejpam-6505	8	15	:	:	PUNCT
ejpam-6505	8	16	brinkman	brinkman	NOUN
ejpam-6505	8	17	flow	flow	NOUN
ejpam-6505	8	18	,	,	PUNCT
ejpam-6505	8	19	thermocapillary	thermocapillary	ADJ
ejpam-6505	8	20	,	,	PUNCT
ejpam-6505	8	21	photocapillary	photocapillary	ADJ
ejpam-6505	8	22	,	,	PUNCT
ejpam-6505	8	23	spherical	spherical	ADJ
ejpam-6505	8	24	droplet	droplet	ADJ
ejpam-6505	8	25	1	1	NUM
ejpam-6505	8	26	.	.	PUNCT
ejpam-6505	8	27	introduction	introduction	NOUN
ejpam-6505	8	28	the	the	DET
ejpam-6505	8	29	mobility	mobility	NOUN
ejpam-6505	8	30	of	of	ADP
ejpam-6505	8	31	droplets	droplet	NOUN
ejpam-6505	8	32	and	and	CCONJ
ejpam-6505	8	33	bubbles	bubble	NOUN
ejpam-6505	8	34	driven	drive	VERB
ejpam-6505	8	35	by	by	ADP
ejpam-6505	8	36	gradients	gradient	NOUN
ejpam-6505	8	37	in	in	ADP
ejpam-6505	8	38	interfacial	interfacial	ADJ
ejpam-6505	8	39	tension	tension	NOUN
ejpam-6505	8	40	—	—	PUNCT
ejpam-6505	8	41	commonly	commonly	ADV
ejpam-6505	8	42	referred	refer	VERB
ejpam-6505	8	43	to	to	ADP
ejpam-6505	8	44	as	as	ADP
ejpam-6505	8	45	thermocapillary	thermocapillary	ADJ
ejpam-6505	8	46	or	or	CCONJ
ejpam-6505	8	47	marangoni	marangoni	NOUN
ejpam-6505	8	48	migration	migration	NOUN
ejpam-6505	8	49	—	—	PUNCT
ejpam-6505	8	50	is	be	AUX
ejpam-6505	8	51	a	a	DET
ejpam-6505	8	52	phenomenon	phenomenon	NOUN
ejpam-6505	8	53	of	of	ADP
ejpam-6505	8	54	fundamental	fundamental	ADJ
ejpam-6505	8	55	importance	importance	NOUN
ejpam-6505	8	56	in	in	ADP
ejpam-6505	8	57	several	several	ADJ
ejpam-6505	8	58	scientific	scientific	ADJ
ejpam-6505	8	59	and	and	CCONJ
ejpam-6505	8	60	practical	practical	ADJ
ejpam-6505	8	61	applications	application	NOUN
ejpam-6505	8	62	.	.	PUNCT
ejpam-6505	9	1	such	such	ADJ
ejpam-6505	9	2	interfacial	interfacial	ADJ
ejpam-6505	9	3	tension	tension	NOUN
ejpam-6505	9	4	gradients	gradient	NOUN
ejpam-6505	9	5	often	often	ADV
ejpam-6505	9	6	occur	occur	VERB
ejpam-6505	9	7	from	from	ADP
ejpam-6505	9	8	spatial	spatial	ADJ
ejpam-6505	9	9	changes	change	NOUN
ejpam-6505	9	10	in	in	ADP
ejpam-6505	9	11	temperature	temperature	NOUN
ejpam-6505	9	12	or	or	CCONJ
ejpam-6505	9	13	concentration	concentration	NOUN
ejpam-6505	9	14	,	,	PUNCT
ejpam-6505	9	15	creating	create	VERB
ejpam-6505	9	16	a	a	DET
ejpam-6505	9	17	tangential	tangential	ADJ
ejpam-6505	9	18	stress	stress	NOUN
ejpam-6505	9	19	at	at	ADP
ejpam-6505	9	20	the	the	DET
ejpam-6505	9	21	droplet	droplet	ADJ
ejpam-6505	9	22	surface	surface	NOUN
ejpam-6505	9	23	that	that	PRON
ejpam-6505	9	24	leads	lead	VERB
ejpam-6505	9	25	in	in	ADP
ejpam-6505	9	26	directed	direct	VERB
ejpam-6505	9	27	motion	motion	NOUN
ejpam-6505	9	28	[	[	X
ejpam-6505	9	29	1	1	NUM
ejpam-6505	9	30	]	]	PUNCT
ejpam-6505	9	31	.	.	PUNCT
ejpam-6505	10	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	10	2	migration	migration	NOUN
ejpam-6505	10	3	plays	play	VERB
ejpam-6505	10	4	a	a	DET
ejpam-6505	10	5	crucial	crucial	ADJ
ejpam-6505	10	6	role	role	NOUN
ejpam-6505	10	7	in	in	ADP
ejpam-6505	10	8	materials	material	NOUN
ejpam-6505	10	9	processing	processing	NOUN
ejpam-6505	10	10	,	,	PUNCT
ejpam-6505	10	11	microfluidics	microfluidic	NOUN
ejpam-6505	10	12	,	,	PUNCT
ejpam-6505	10	13	environmental	environmental	ADJ
ejpam-6505	10	14	remediation	remediation	NOUN
ejpam-6505	10	15	,	,	PUNCT
ejpam-6505	10	16	and	and	CCONJ
ejpam-6505	10	17	increased	increase	VERB
ejpam-6505	10	18	oil	oil	NOUN
ejpam-6505	10	19	recovery	recovery	NOUN
ejpam-6505	10	20	[	[	X
ejpam-6505	10	21	2–5	2–5	X
ejpam-6505	10	22	]	]	PUNCT
ejpam-6505	10	23	.	.	PUNCT
ejpam-6505	11	1	the	the	DET
ejpam-6505	11	2	standard	standard	ADJ
ejpam-6505	11	3	theoretical	theoretical	ADJ
ejpam-6505	11	4	foundation	foundation	NOUN
ejpam-6505	11	5	for	for	ADP
ejpam-6505	11	6	thermocapillary	thermocapillary	ADJ
ejpam-6505	11	7	migration	migration	NOUN
ejpam-6505	11	8	was	be	AUX
ejpam-6505	11	9	provided	provide	VERB
ejpam-6505	11	10	by	by	ADP
ejpam-6505	11	11	young	young	PROPN
ejpam-6505	11	12	et	et	PROPN
ejpam-6505	11	13	al	al	PROPN
ejpam-6505	11	14	.	.	PUNCT
ejpam-6505	12	1	[	[	X
ejpam-6505	12	2	6	6	NUM
ejpam-6505	12	3	]	]	PUNCT
ejpam-6505	12	4	,	,	PUNCT
ejpam-6505	12	5	who	who	PRON
ejpam-6505	12	6	produced	produce	VERB
ejpam-6505	12	7	an	an	DET
ejpam-6505	12	8	analytical	analytical	ADJ
ejpam-6505	12	9	expression	expression	NOUN
ejpam-6505	12	10	for	for	ADP
ejpam-6505	12	11	the	the	DET
ejpam-6505	12	12	velocity	velocity	NOUN
ejpam-6505	12	13	of	of	ADP
ejpam-6505	12	14	a	a	DET
ejpam-6505	12	15	spherical	spherical	ADJ
ejpam-6505	12	16	∗corresponding	∗corresponde	VERB
ejpam-6505	12	17	author	author	NOUN
ejpam-6505	12	18	.	.	PUNCT
ejpam-6505	13	1	doi	doi	NOUN
ejpam-6505	13	2	:	:	PUNCT
ejpam-6505	13	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6505	https://doi.org/10.29020/nybg.ejpam.v18i3.6505	PROPN
ejpam-6505	13	4	email	email	NOUN
ejpam-6505	13	5	address	address	NOUN
ejpam-6505	13	6	:	:	PUNCT
ejpam-6505	13	7	samar.mahrous@aast.edu	samar.mahrous@aast.edu	X
ejpam-6505	13	8	(	(	PUNCT
ejpam-6505	13	9	s.	s.	PROPN
ejpam-6505	13	10	a.	a.	PROPN
ejpam-6505	13	11	mahrous	mahrous	PROPN
ejpam-6505	13	12	)	)	PUNCT
ejpam-6505	13	13	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6505	13	14	copyright	copyright	NOUN
ejpam-6505	13	15	:	:	PUNCT
ejpam-6505	13	16	©	©	PROPN
ejpam-6505	13	17	2025	2025	NUM
ejpam-6505	13	18	the	the	DET
ejpam-6505	13	19	author(s	author(s	NOUN
ejpam-6505	13	20	)	)	PUNCT
ejpam-6505	13	21	.	.	PUNCT
ejpam-6505	14	1	(	(	PUNCT
ejpam-6505	14	2	cc	cc	NOUN
ejpam-6505	14	3	by	by	ADP
ejpam-6505	14	4	-	-	PUNCT
ejpam-6505	14	5	nc	nc	PROPN
ejpam-6505	14	6	4.0	4.0	NUM
ejpam-6505	14	7	)	)	PUNCT
ejpam-6505	14	8	a.	a.	NOUN
ejpam-6505	14	9	s.	s.	PROPN
ejpam-6505	14	10	aamer	aamer	PROPN
ejpam-6505	14	11	,	,	PUNCT
ejpam-6505	14	12	b.	b.	PROPN
ejpam-6505	14	13	a.	a.	PROPN
ejpam-6505	14	14	ahmed	ahmed	PROPN
ejpam-6505	14	15	,	,	PUNCT
ejpam-6505	14	16	s.	s.	PROPN
ejpam-6505	14	17	a.	a.	PROPN
ejpam-6505	14	18	mahrous	mahrous	PROPN
ejpam-6505	14	19	/	/	SYM
ejpam-6505	14	20	eur	eur	PROPN
ejpam-6505	14	21	.	.	PUNCT
ejpam-6505	15	1	j.	j.	PROPN
ejpam-6505	15	2	pure	pure	PROPN
ejpam-6505	15	3	appl	appl	PROPN
ejpam-6505	15	4	.	.	PROPN
ejpam-6505	15	5	math	math	PROPN
ejpam-6505	15	6	,	,	PUNCT
ejpam-6505	15	7	18	18	NUM
ejpam-6505	15	8	(	(	PUNCT
ejpam-6505	15	9	3	3	NUM
ejpam-6505	15	10	)	)	PUNCT
ejpam-6505	15	11	(	(	PUNCT
ejpam-6505	15	12	2025	2025	NUM
ejpam-6505	15	13	)	)	PUNCT
ejpam-6505	15	14	,	,	PUNCT
ejpam-6505	15	15	6505	6505	NUM
ejpam-6505	15	16	of	of	ADP
ejpam-6505	15	17	bubble	bubble	NOUN
ejpam-6505	15	18	or	or	CCONJ
ejpam-6505	15	19	drop	drop	VERB
ejpam-6505	15	20	migrating	migrating	NOUN
ejpam-6505	15	21	in	in	ADP
ejpam-6505	15	22	an	an	DET
ejpam-6505	15	23	unbounded	unbounded	ADJ
ejpam-6505	15	24	fluid	fluid	NOUN
ejpam-6505	15	25	subject	subject	NOUN
ejpam-6505	15	26	to	to	ADP
ejpam-6505	15	27	a	a	DET
ejpam-6505	15	28	uniform	uniform	ADJ
ejpam-6505	15	29	temperature	temperature	NOUN
ejpam-6505	15	30	gradient	gradient	NOUN
ejpam-6505	15	31	.	.	PUNCT
ejpam-6505	16	1	assuming	assume	VERB
ejpam-6505	16	2	a	a	DET
ejpam-6505	16	3	creeping	creep	VERB
ejpam-6505	16	4	flow	flow	NOUN
ejpam-6505	16	5	and	and	CCONJ
ejpam-6505	16	6	negligible	negligible	ADJ
ejpam-6505	16	7	convective	convective	ADJ
ejpam-6505	16	8	heat	heat	NOUN
ejpam-6505	16	9	transfer	transfer	NOUN
ejpam-6505	16	10	,	,	PUNCT
ejpam-6505	16	11	their	their	PRON
ejpam-6505	16	12	model	model	NOUN
ejpam-6505	16	13	revealed	reveal	VERB
ejpam-6505	16	14	that	that	SCONJ
ejpam-6505	16	15	the	the	DET
ejpam-6505	16	16	migration	migration	NOUN
ejpam-6505	16	17	velocity	velocity	NOUN
ejpam-6505	16	18	is	be	AUX
ejpam-6505	16	19	proportional	proportional	ADJ
ejpam-6505	16	20	to	to	ADP
ejpam-6505	16	21	the	the	DET
ejpam-6505	16	22	thermal	thermal	ADJ
ejpam-6505	16	23	gradient	gradient	NOUN
ejpam-6505	16	24	and	and	CCONJ
ejpam-6505	16	25	the	the	DET
ejpam-6505	16	26	surface	surface	NOUN
ejpam-6505	16	27	tension	tension	NOUN
ejpam-6505	16	28	’s	’s	PART
ejpam-6505	16	29	temperature	temperature	NOUN
ejpam-6505	16	30	coefficient	coefficient	NOUN
ejpam-6505	16	31	.	.	PUNCT
ejpam-6505	17	1	although	although	SCONJ
ejpam-6505	17	2	immensely	immensely	ADV
ejpam-6505	17	3	important	important	ADJ
ejpam-6505	17	4	,	,	PUNCT
ejpam-6505	17	5	this	this	DET
ejpam-6505	17	6	concept	concept	NOUN
ejpam-6505	17	7	applies	apply	VERB
ejpam-6505	17	8	exclusively	exclusively	ADV
ejpam-6505	17	9	to	to	ADP
ejpam-6505	17	10	isolated	isolated	ADJ
ejpam-6505	17	11	drops	drop	NOUN
ejpam-6505	17	12	in	in	ADP
ejpam-6505	17	13	idealized	idealized	ADJ
ejpam-6505	17	14	situations	situation	NOUN
ejpam-6505	17	15	.	.	PUNCT
ejpam-6505	18	1	in	in	ADP
ejpam-6505	18	2	practical	practical	ADJ
ejpam-6505	18	3	applications	application	NOUN
ejpam-6505	18	4	,	,	PUNCT
ejpam-6505	18	5	migrating	migrating	NOUN
ejpam-6505	18	6	droplets	droplet	NOUN
ejpam-6505	18	7	often	often	ADV
ejpam-6505	18	8	engage	engage	VERB
ejpam-6505	18	9	with	with	ADP
ejpam-6505	18	10	adjacent	adjacent	ADJ
ejpam-6505	18	11	interfaces	interface	NOUN
ejpam-6505	18	12	,	,	PUNCT
ejpam-6505	18	13	such	such	ADJ
ejpam-6505	18	14	as	as	ADP
ejpam-6505	18	15	confining	confine	VERB
ejpam-6505	18	16	walls	wall	NOUN
ejpam-6505	18	17	or	or	CCONJ
ejpam-6505	18	18	other	other	ADJ
ejpam-6505	18	19	droplets	droplet	NOUN
ejpam-6505	18	20	,	,	PUNCT
ejpam-6505	18	21	which	which	PRON
ejpam-6505	18	22	considerably	considerably	ADV
ejpam-6505	18	23	modify	modify	VERB
ejpam-6505	18	24	their	their	PRON
ejpam-6505	18	25	movement	movement	NOUN
ejpam-6505	18	26	.	.	PUNCT
ejpam-6505	19	1	over	over	ADP
ejpam-6505	19	2	the	the	DET
ejpam-6505	19	3	past	past	ADJ
ejpam-6505	19	4	few	few	ADJ
ejpam-6505	19	5	decades	decade	NOUN
ejpam-6505	19	6	,	,	PUNCT
ejpam-6505	19	7	a	a	DET
ejpam-6505	19	8	vast	vast	ADJ
ejpam-6505	19	9	variety	variety	NOUN
ejpam-6505	19	10	of	of	ADP
ejpam-6505	19	11	analytical	analytical	ADJ
ejpam-6505	19	12	and	and	CCONJ
ejpam-6505	19	13	numerical	numerical	ADJ
ejpam-6505	19	14	investigations	investigation	NOUN
ejpam-6505	19	15	has	have	AUX
ejpam-6505	19	16	addressed	address	VERB
ejpam-6505	19	17	such	such	ADJ
ejpam-6505	19	18	confinement	confinement	ADJ
ejpam-6505	19	19	effects	effect	NOUN
ejpam-6505	20	1	[	[	X
ejpam-6505	20	2	7–11	7–11	X
ejpam-6505	20	3	]	]	PUNCT
ejpam-6505	20	4	.	.	PUNCT
ejpam-6505	21	1	meyyappan	meyyappan	PROPN
ejpam-6505	21	2	et	et	PROPN
ejpam-6505	21	3	al	al	PROPN
ejpam-6505	21	4	.	.	PUNCT
ejpam-6505	22	1	[	[	X
ejpam-6505	22	2	7	7	X
ejpam-6505	22	3	]	]	PUNCT
ejpam-6505	22	4	and	and	CCONJ
ejpam-6505	22	5	sadhal	sadhal	VERB
ejpam-6505	22	6	[	[	X
ejpam-6505	22	7	12	12	NUM
ejpam-6505	22	8	]	]	PUNCT
ejpam-6505	22	9	examined	examine	VERB
ejpam-6505	22	10	the	the	DET
ejpam-6505	22	11	migration	migration	NOUN
ejpam-6505	22	12	of	of	ADP
ejpam-6505	22	13	gaseous	gaseous	ADJ
ejpam-6505	22	14	bubbles	bubble	NOUN
ejpam-6505	22	15	near	near	ADP
ejpam-6505	22	16	planar	planar	ADJ
ejpam-6505	22	17	surfaces	surface	NOUN
ejpam-6505	22	18	,	,	PUNCT
ejpam-6505	22	19	utilizing	utilize	VERB
ejpam-6505	22	20	spherical	spherical	ADJ
ejpam-6505	22	21	bipolar	bipolar	ADJ
ejpam-6505	22	22	coordinates	coordinate	NOUN
ejpam-6505	22	23	to	to	PART
ejpam-6505	22	24	elucidate	elucidate	VERB
ejpam-6505	22	25	quasi	quasi	ADJ
ejpam-6505	22	26	-	-	ADJ
ejpam-6505	22	27	steady	steady	ADJ
ejpam-6505	22	28	dynamics	dynamic	NOUN
ejpam-6505	22	29	.	.	PUNCT
ejpam-6505	23	1	meyyappan	meyyappan	NOUN
ejpam-6505	23	2	and	and	CCONJ
ejpam-6505	23	3	subramanian	subramanian	ADJ
ejpam-6505	23	4	[	[	X
ejpam-6505	23	5	13	13	NUM
ejpam-6505	23	6	]	]	PUNCT
ejpam-6505	23	7	expanded	expand	VERB
ejpam-6505	23	8	this	this	DET
ejpam-6505	23	9	concept	concept	NOUN
ejpam-6505	23	10	to	to	PART
ejpam-6505	23	11	examine	examine	VERB
ejpam-6505	23	12	bubble	bubble	NOUN
ejpam-6505	23	13	migration	migration	NOUN
ejpam-6505	23	14	parallel	parallel	NOUN
ejpam-6505	23	15	to	to	ADP
ejpam-6505	23	16	a	a	DET
ejpam-6505	23	17	barrier	barrier	NOUN
ejpam-6505	23	18	,	,	PUNCT
ejpam-6505	23	19	demonstrating	demonstrate	VERB
ejpam-6505	23	20	a	a	DET
ejpam-6505	23	21	monotonic	monotonic	ADJ
ejpam-6505	23	22	reduction	reduction	NOUN
ejpam-6505	23	23	in	in	ADP
ejpam-6505	23	24	velocity	velocity	NOUN
ejpam-6505	23	25	relative	relative	ADJ
ejpam-6505	23	26	to	to	ADP
ejpam-6505	23	27	the	the	DET
ejpam-6505	23	28	unbounded	unbounded	ADJ
ejpam-6505	23	29	scenario	scenario	NOUN
ejpam-6505	23	30	as	as	SCONJ
ejpam-6505	23	31	the	the	DET
ejpam-6505	23	32	bubble	bubble	NOUN
ejpam-6505	23	33	neared	near	VERB
ejpam-6505	23	34	the	the	DET
ejpam-6505	23	35	interface	interface	NOUN
ejpam-6505	23	36	[	[	X
ejpam-6505	23	37	14	14	NUM
ejpam-6505	23	38	,	,	PUNCT
ejpam-6505	23	39	15	15	NUM
ejpam-6505	23	40	]	]	PUNCT
ejpam-6505	23	41	.	.	PUNCT
ejpam-6505	24	1	subsequent	subsequent	ADJ
ejpam-6505	24	2	inquiries	inquiry	NOUN
ejpam-6505	24	3	examined	examine	VERB
ejpam-6505	24	4	the	the	DET
ejpam-6505	24	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	24	6	movement	movement	NOUN
ejpam-6505	24	7	of	of	ADP
ejpam-6505	24	8	fluid	fluid	ADJ
ejpam-6505	24	9	droplets	droplet	NOUN
ejpam-6505	24	10	adjacent	adjacent	ADJ
ejpam-6505	24	11	to	to	ADP
ejpam-6505	24	12	planar	planar	ADJ
ejpam-6505	24	13	surfaces	surface	NOUN
ejpam-6505	24	14	.	.	PUNCT
ejpam-6505	25	1	barton	barton	PROPN
ejpam-6505	25	2	and	and	CCONJ
ejpam-6505	25	3	subramanian	subramanian	PROPN
ejpam-6505	25	4	[	[	X
ejpam-6505	25	5	16	16	NUM
ejpam-6505	25	6	]	]	PUNCT
ejpam-6505	25	7	and	and	CCONJ
ejpam-6505	25	8	chen	chen	PROPN
ejpam-6505	25	9	and	and	CCONJ
ejpam-6505	25	10	keh	keh	VERB
ejpam-6505	26	1	[	[	X
ejpam-6505	26	2	17	17	NUM
ejpam-6505	26	3	]	]	PUNCT
ejpam-6505	26	4	expanded	expand	VERB
ejpam-6505	26	5	the	the	DET
ejpam-6505	26	6	analysis	analysis	NOUN
ejpam-6505	26	7	to	to	ADP
ejpam-6505	26	8	liquid	liquid	ADJ
ejpam-6505	26	9	droplets	droplet	NOUN
ejpam-6505	26	10	,	,	PUNCT
ejpam-6505	26	11	whereas	whereas	SCONJ
ejpam-6505	26	12	barton	barton	PROPN
ejpam-6505	26	13	and	and	CCONJ
ejpam-6505	26	14	subramanian	subramanian	PROPN
ejpam-6505	26	15	[	[	X
ejpam-6505	26	16	18	18	NUM
ejpam-6505	26	17	]	]	PUNCT
ejpam-6505	26	18	offered	offer	VERB
ejpam-6505	26	19	experimental	experimental	ADJ
ejpam-6505	26	20	validation	validation	NOUN
ejpam-6505	26	21	for	for	ADP
ejpam-6505	26	22	droplets	droplet	NOUN
ejpam-6505	26	23	traveling	travel	VERB
ejpam-6505	26	24	perpendicular	perpendicular	ADJ
ejpam-6505	26	25	to	to	ADP
ejpam-6505	26	26	a	a	DET
ejpam-6505	26	27	horizontal	horizontal	ADJ
ejpam-6505	26	28	surface	surface	NOUN
ejpam-6505	26	29	.	.	PUNCT
ejpam-6505	27	1	comparable	comparable	ADJ
ejpam-6505	27	2	theoretical	theoretical	ADJ
ejpam-6505	27	3	findings	finding	NOUN
ejpam-6505	27	4	were	be	AUX
ejpam-6505	27	5	achieved	achieve	VERB
ejpam-6505	27	6	through	through	ADP
ejpam-6505	27	7	boundary	boundary	ADJ
ejpam-6505	27	8	collocation	collocation	NOUN
ejpam-6505	27	9	by	by	ADP
ejpam-6505	27	10	chang	chang	PROPN
ejpam-6505	27	11	and	and	CCONJ
ejpam-6505	27	12	keh	keh	VERB
ejpam-6505	28	1	[	[	X
ejpam-6505	28	2	19	19	NUM
ejpam-6505	28	3	]	]	PUNCT
ejpam-6505	28	4	,	,	PUNCT
ejpam-6505	28	5	and	and	CCONJ
ejpam-6505	28	6	for	for	ADP
ejpam-6505	28	7	spherical	spherical	ADJ
ejpam-6505	28	8	cavities	cavity	NOUN
ejpam-6505	28	9	by	by	ADP
ejpam-6505	28	10	lee	lee	PROPN
ejpam-6505	28	11	and	and	CCONJ
ejpam-6505	28	12	keh	keh	VERB
ejpam-6505	29	1	[	[	X
ejpam-6505	29	2	20	20	NUM
ejpam-6505	29	3	,	,	PUNCT
ejpam-6505	29	4	21	21	NUM
ejpam-6505	29	5	]	]	PUNCT
ejpam-6505	29	6	.	.	PUNCT
ejpam-6505	30	1	asymptotic	asymptotic	ADJ
ejpam-6505	30	2	methods	method	NOUN
ejpam-6505	30	3	,	,	PUNCT
ejpam-6505	30	4	including	include	VERB
ejpam-6505	30	5	lubrication	lubrication	NOUN
ejpam-6505	30	6	theory	theory	NOUN
ejpam-6505	30	7	[	[	X
ejpam-6505	30	8	22	22	NUM
ejpam-6505	30	9	]	]	PUNCT
ejpam-6505	30	10	and	and	CCONJ
ejpam-6505	30	11	the	the	DET
ejpam-6505	30	12	method	method	NOUN
ejpam-6505	30	13	of	of	ADP
ejpam-6505	30	14	reflections	reflection	NOUN
ejpam-6505	30	15	[	[	X
ejpam-6505	30	16	23	23	NUM
ejpam-6505	30	17	,	,	PUNCT
ejpam-6505	30	18	24	24	NUM
ejpam-6505	30	19	]	]	PUNCT
ejpam-6505	30	20	,	,	PUNCT
ejpam-6505	30	21	elucidated	elucidate	VERB
ejpam-6505	30	22	the	the	DET
ejpam-6505	30	23	impact	impact	NOUN
ejpam-6505	30	24	of	of	ADP
ejpam-6505	30	25	proximity	proximity	NOUN
ejpam-6505	30	26	to	to	ADP
ejpam-6505	30	27	interfaces	interface	NOUN
ejpam-6505	30	28	on	on	ADP
ejpam-6505	30	29	droplet	droplet	ADJ
ejpam-6505	30	30	mobility	mobility	NOUN
ejpam-6505	30	31	.	.	PUNCT
ejpam-6505	31	1	recently	recently	ADV
ejpam-6505	31	2	,	,	PUNCT
ejpam-6505	31	3	sophisticated	sophisticated	ADJ
ejpam-6505	31	4	numerical	numerical	ADJ
ejpam-6505	31	5	methods	method	NOUN
ejpam-6505	31	6	have	have	AUX
ejpam-6505	31	7	facilitated	facilitate	VERB
ejpam-6505	31	8	more	more	ADV
ejpam-6505	31	9	profound	profound	ADJ
ejpam-6505	31	10	inquiries	inquiry	NOUN
ejpam-6505	31	11	.	.	PUNCT
ejpam-6505	32	1	choudhuri	choudhuri	PROPN
ejpam-6505	32	2	and	and	CCONJ
ejpam-6505	32	3	raja	raja	PROPN
ejpam-6505	32	4	sekhar	sekhar	PROPN
ejpam-6505	33	1	[	[	X
ejpam-6505	33	2	25	25	NUM
ejpam-6505	33	3	]	]	PUNCT
ejpam-6505	33	4	examined	examine	VERB
ejpam-6505	33	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	33	6	drift	drift	NOUN
ejpam-6505	33	7	through	through	ADP
ejpam-6505	33	8	decoupled	decouple	VERB
ejpam-6505	33	9	solutions	solution	NOUN
ejpam-6505	33	10	for	for	ADP
ejpam-6505	33	11	thermal	thermal	ADJ
ejpam-6505	33	12	and	and	CCONJ
ejpam-6505	33	13	momentum	momentum	NOUN
ejpam-6505	33	14	transfer	transfer	NOUN
ejpam-6505	33	15	.	.	PUNCT
ejpam-6505	34	1	chiu	chiu	PROPN
ejpam-6505	34	2	and	and	CCONJ
ejpam-6505	34	3	keh	keh	VERB
ejpam-6505	35	1	[	[	X
ejpam-6505	35	2	26	26	NUM
ejpam-6505	35	3	]	]	PUNCT
ejpam-6505	35	4	examined	examine	VERB
ejpam-6505	35	5	droplet	droplet	ADJ
ejpam-6505	35	6	motion	motion	NOUN
ejpam-6505	35	7	in	in	ADP
ejpam-6505	35	8	cylindrical	cylindrical	ADJ
ejpam-6505	35	9	tubes	tube	NOUN
ejpam-6505	35	10	,	,	PUNCT
ejpam-6505	35	11	demonstrating	demonstrate	VERB
ejpam-6505	35	12	that	that	SCONJ
ejpam-6505	35	13	the	the	DET
ejpam-6505	35	14	droplet	droplet	NOUN
ejpam-6505	35	15	’s	’s	PART
ejpam-6505	35	16	velocity	velocity	NOUN
ejpam-6505	35	17	is	be	AUX
ejpam-6505	35	18	influenced	influence	VERB
ejpam-6505	35	19	by	by	ADP
ejpam-6505	35	20	both	both	PRON
ejpam-6505	35	21	viscous	viscous	ADJ
ejpam-6505	35	22	drag	drag	NOUN
ejpam-6505	35	23	and	and	CCONJ
ejpam-6505	35	24	wall	wall	NOUN
ejpam-6505	35	25	-	-	PUNCT
ejpam-6505	35	26	induced	induce	VERB
ejpam-6505	35	27	alterations	alteration	NOUN
ejpam-6505	35	28	to	to	ADP
ejpam-6505	35	29	thermal	thermal	ADJ
ejpam-6505	35	30	gradients	gradient	NOUN
ejpam-6505	35	31	.	.	PUNCT
ejpam-6505	36	1	chennuri	chennuri	PROPN
ejpam-6505	36	2	and	and	CCONJ
ejpam-6505	36	3	prakash	prakash	PROPN
ejpam-6505	37	1	[	[	X
ejpam-6505	37	2	27	27	NUM
ejpam-6505	37	3	]	]	PUNCT
ejpam-6505	37	4	investigated	investigate	VERB
ejpam-6505	37	5	a	a	DET
ejpam-6505	37	6	concentric	concentric	ADJ
ejpam-6505	37	7	compound	compound	NOUN
ejpam-6505	37	8	drop	drop	NOUN
ejpam-6505	37	9	in	in	ADP
ejpam-6505	37	10	arbitrary	arbitrary	ADJ
ejpam-6505	37	11	flow	flow	NOUN
ejpam-6505	37	12	,	,	PUNCT
ejpam-6505	37	13	developing	develop	VERB
ejpam-6505	37	14	closed	closed	ADJ
ejpam-6505	37	15	-	-	PUNCT
ejpam-6505	37	16	form	form	NOUN
ejpam-6505	37	17	formulas	formula	NOUN
ejpam-6505	37	18	for	for	ADP
ejpam-6505	37	19	migration	migration	NOUN
ejpam-6505	37	20	velocity	velocity	NOUN
ejpam-6505	37	21	and	and	CCONJ
ejpam-6505	37	22	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	37	23	forces	force	NOUN
ejpam-6505	37	24	,	,	PUNCT
ejpam-6505	37	25	while	while	SCONJ
ejpam-6505	37	26	emphasizing	emphasize	VERB
ejpam-6505	37	27	the	the	DET
ejpam-6505	37	28	effects	effect	NOUN
ejpam-6505	37	29	of	of	ADP
ejpam-6505	37	30	marangoni	marangoni	NOUN
ejpam-6505	37	31	number	number	NOUN
ejpam-6505	37	32	and	and	CCONJ
ejpam-6505	37	33	inner	inner	ADJ
ejpam-6505	37	34	drop	drop	NOUN
ejpam-6505	37	35	radius	radius	NOUN
ejpam-6505	37	36	.	.	PUNCT
ejpam-6505	38	1	although	although	SCONJ
ejpam-6505	38	2	extensive	extensive	ADJ
ejpam-6505	38	3	research	research	NOUN
ejpam-6505	38	4	has	have	AUX
ejpam-6505	38	5	been	be	AUX
ejpam-6505	38	6	conducted	conduct	VERB
ejpam-6505	38	7	on	on	ADP
ejpam-6505	38	8	thermocapillary	thermocapillary	ADJ
ejpam-6505	38	9	migration	migration	NOUN
ejpam-6505	38	10	in	in	ADP
ejpam-6505	38	11	transparent	transparent	ADJ
ejpam-6505	38	12	fluids	fluid	NOUN
ejpam-6505	38	13	,	,	PUNCT
ejpam-6505	38	14	comparable	comparable	ADJ
ejpam-6505	38	15	phenomena	phenomenon	NOUN
ejpam-6505	38	16	in	in	ADP
ejpam-6505	38	17	porous	porous	ADJ
ejpam-6505	38	18	media	medium	NOUN
ejpam-6505	38	19	have	have	AUX
ejpam-6505	38	20	received	receive	VERB
ejpam-6505	38	21	comparatively	comparatively	ADV
ejpam-6505	38	22	scant	scant	ADJ
ejpam-6505	38	23	attention	attention	NOUN
ejpam-6505	38	24	.	.	PUNCT
ejpam-6505	39	1	the	the	DET
ejpam-6505	39	2	interaction	interaction	NOUN
ejpam-6505	39	3	between	between	ADP
ejpam-6505	39	4	interfacial	interfacial	ADJ
ejpam-6505	39	5	thermal	thermal	ADJ
ejpam-6505	39	6	gradients	gradient	NOUN
ejpam-6505	39	7	and	and	CCONJ
ejpam-6505	39	8	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	39	9	resistance	resistance	NOUN
ejpam-6505	39	10	caused	cause	VERB
ejpam-6505	39	11	by	by	ADP
ejpam-6505	39	12	the	the	DET
ejpam-6505	39	13	porous	porous	ADJ
ejpam-6505	39	14	structure	structure	NOUN
ejpam-6505	39	15	poses	pose	VERB
ejpam-6505	39	16	a	a	DET
ejpam-6505	39	17	distinct	distinct	ADJ
ejpam-6505	39	18	challenge	challenge	NOUN
ejpam-6505	39	19	in	in	ADP
ejpam-6505	39	20	these	these	DET
ejpam-6505	39	21	environments	environment	NOUN
ejpam-6505	39	22	.	.	PUNCT
ejpam-6505	40	1	although	although	SCONJ
ejpam-6505	40	2	the	the	DET
ejpam-6505	40	3	darcy	darcy	PROPN
ejpam-6505	40	4	and	and	CCONJ
ejpam-6505	40	5	darcy	darcy	PROPN
ejpam-6505	40	6	–	–	PUNCT
ejpam-6505	40	7	brinkman	brinkman	PROPN
ejpam-6505	40	8	equations	equation	NOUN
ejpam-6505	40	9	have	have	AUX
ejpam-6505	40	10	been	be	AUX
ejpam-6505	40	11	employed	employ	VERB
ejpam-6505	40	12	to	to	PART
ejpam-6505	40	13	predict	predict	VERB
ejpam-6505	40	14	flow	flow	NOUN
ejpam-6505	40	15	in	in	ADP
ejpam-6505	40	16	porous	porous	ADJ
ejpam-6505	40	17	media	medium	NOUN
ejpam-6505	40	18	[	[	X
ejpam-6505	40	19	28	28	NUM
ejpam-6505	40	20	]	]	PUNCT
ejpam-6505	40	21	,	,	PUNCT
ejpam-6505	40	22	previous	previous	ADJ
ejpam-6505	40	23	research	research	NOUN
ejpam-6505	40	24	has	have	AUX
ejpam-6505	40	25	largely	largely	ADV
ejpam-6505	40	26	overlooked	overlook	VERB
ejpam-6505	40	27	the	the	DET
ejpam-6505	40	28	influence	influence	NOUN
ejpam-6505	40	29	of	of	ADP
ejpam-6505	40	30	temperaturedependent	temperaturedependent	ADJ
ejpam-6505	40	31	surface	surface	NOUN
ejpam-6505	40	32	tension	tension	NOUN
ejpam-6505	40	33	in	in	ADP
ejpam-6505	40	34	these	these	DET
ejpam-6505	40	35	systems	system	NOUN
ejpam-6505	40	36	.	.	PUNCT
ejpam-6505	41	1	this	this	DET
ejpam-6505	41	2	study	study	NOUN
ejpam-6505	41	3	examines	examine	VERB
ejpam-6505	41	4	the	the	DET
ejpam-6505	41	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	41	6	and	and	CCONJ
ejpam-6505	41	7	photocapillary	photocapillary	ADJ
ejpam-6505	41	8	movement	movement	NOUN
ejpam-6505	41	9	of	of	ADP
ejpam-6505	41	10	a	a	DET
ejpam-6505	41	11	spherical	spherical	ADJ
ejpam-6505	41	12	fluid	fluid	NOUN
ejpam-6505	41	13	droplet	droplet	NOUN
ejpam-6505	41	14	within	within	ADP
ejpam-6505	41	15	a	a	DET
ejpam-6505	41	16	brinkman	brinkman	PROPN
ejpam-6505	41	17	medium	medium	NOUN
ejpam-6505	41	18	.	.	PUNCT
ejpam-6505	42	1	our	our	PRON
ejpam-6505	42	2	objective	objective	NOUN
ejpam-6505	42	3	is	be	AUX
ejpam-6505	42	4	to	to	PART
ejpam-6505	42	5	comprehend	comprehend	VERB
ejpam-6505	42	6	how	how	SCONJ
ejpam-6505	42	7	porous	porous	ADJ
ejpam-6505	42	8	permeability	permeability	NOUN
ejpam-6505	42	9	influences	influence	VERB
ejpam-6505	42	10	both	both	PRON
ejpam-6505	42	11	flow	flow	NOUN
ejpam-6505	42	12	and	and	CCONJ
ejpam-6505	42	13	heat	heat	NOUN
ejpam-6505	42	14	fields	field	NOUN
ejpam-6505	42	15	,	,	PUNCT
ejpam-6505	42	16	therefore	therefore	ADV
ejpam-6505	42	17	affecting	affect	VERB
ejpam-6505	42	18	migration	migration	NOUN
ejpam-6505	42	19	velocity	velocity	NOUN
ejpam-6505	42	20	.	.	PUNCT
ejpam-6505	43	1	the	the	DET
ejpam-6505	43	2	darcy	darcy	PROPN
ejpam-6505	43	3	–	–	PUNCT
ejpam-6505	43	4	brinkman	brinkman	PROPN
ejpam-6505	43	5	model	model	NOUN
ejpam-6505	43	6	is	be	AUX
ejpam-6505	43	7	adopted	adopt	VERB
ejpam-6505	43	8	to	to	PART
ejpam-6505	43	9	bridge	bridge	VERB
ejpam-6505	43	10	the	the	DET
ejpam-6505	43	11	classical	classical	ADJ
ejpam-6505	43	12	darcy	darcy	PROPN
ejpam-6505	43	13	flow	flow	NOUN
ejpam-6505	43	14	regime	regime	NOUN
ejpam-6505	43	15	(	(	PUNCT
ejpam-6505	43	16	low	low	ADJ
ejpam-6505	43	17	permeability	permeability	NOUN
ejpam-6505	43	18	)	)	PUNCT
ejpam-6505	43	19	with	with	ADP
ejpam-6505	43	20	stokes	stoke	NOUN
ejpam-6505	43	21	flow	flow	NOUN
ejpam-6505	43	22	(	(	PUNCT
ejpam-6505	43	23	high	high	ADJ
ejpam-6505	43	24	permeability	permeability	NOUN
ejpam-6505	43	25	)	)	PUNCT
ejpam-6505	43	26	,	,	PUNCT
ejpam-6505	43	27	enabling	enable	VERB
ejpam-6505	43	28	direct	direct	ADJ
ejpam-6505	43	29	comparison	comparison	NOUN
ejpam-6505	43	30	with	with	ADP
ejpam-6505	43	31	existing	exist	VERB
ejpam-6505	43	32	clear	clear	ADJ
ejpam-6505	43	33	-	-	PUNCT
ejpam-6505	43	34	fluid	fluid	ADJ
ejpam-6505	43	35	results	result	NOUN
ejpam-6505	43	36	.	.	PUNCT
ejpam-6505	44	1	to	to	ADP
ejpam-6505	44	2	the	the	DET
ejpam-6505	44	3	best	good	ADJ
ejpam-6505	44	4	of	of	ADP
ejpam-6505	44	5	our	our	PRON
ejpam-6505	44	6	knowledge	knowledge	NOUN
ejpam-6505	44	7	,	,	PUNCT
ejpam-6505	44	8	this	this	PRON
ejpam-6505	44	9	is	be	AUX
ejpam-6505	44	10	one	one	NUM
ejpam-6505	44	11	of	of	ADP
ejpam-6505	44	12	the	the	DET
ejpam-6505	44	13	first	first	ADJ
ejpam-6505	44	14	analytical	analytical	ADJ
ejpam-6505	44	15	studies	study	NOUN
ejpam-6505	44	16	a.	a.	PROPN
ejpam-6505	44	17	s.	s.	PROPN
ejpam-6505	44	18	aamer	aamer	PROPN
ejpam-6505	44	19	,	,	PUNCT
ejpam-6505	44	20	b.	b.	PROPN
ejpam-6505	44	21	a.	a.	PROPN
ejpam-6505	44	22	ahmed	ahmed	PROPN
ejpam-6505	44	23	,	,	PUNCT
ejpam-6505	44	24	s.	s.	PROPN
ejpam-6505	44	25	a.	a.	PROPN
ejpam-6505	44	26	mahrous	mahrous	PROPN
ejpam-6505	44	27	/	/	SYM
ejpam-6505	44	28	eur	eur	PROPN
ejpam-6505	44	29	.	.	PUNCT
ejpam-6505	45	1	j.	j.	PROPN
ejpam-6505	45	2	pure	pure	PROPN
ejpam-6505	45	3	appl	appl	PROPN
ejpam-6505	45	4	.	.	PROPN
ejpam-6505	45	5	math	math	PROPN
ejpam-6505	45	6	,	,	PUNCT
ejpam-6505	45	7	18	18	NUM
ejpam-6505	45	8	(	(	PUNCT
ejpam-6505	45	9	3	3	NUM
ejpam-6505	45	10	)	)	PUNCT
ejpam-6505	45	11	(	(	PUNCT
ejpam-6505	45	12	2025	2025	NUM
ejpam-6505	45	13	)	)	PUNCT
ejpam-6505	45	14	,	,	PUNCT
ejpam-6505	45	15	6505	6505	NUM
ejpam-6505	45	16	of	of	ADP
ejpam-6505	45	17	to	to	PART
ejpam-6505	45	18	consider	consider	VERB
ejpam-6505	45	19	thermocapillary	thermocapillary	ADJ
ejpam-6505	45	20	(	(	PUNCT
ejpam-6505	45	21	and	and	CCONJ
ejpam-6505	45	22	photocapillary	photocapillary	ADJ
ejpam-6505	45	23	)	)	PUNCT
ejpam-6505	45	24	effects	effect	NOUN
ejpam-6505	45	25	in	in	ADP
ejpam-6505	45	26	a	a	DET
ejpam-6505	45	27	brinkman	brinkman	PROPN
ejpam-6505	45	28	medium	medium	NOUN
ejpam-6505	45	29	.	.	PUNCT
ejpam-6505	46	1	2	2	X
ejpam-6505	46	2	.	.	X
ejpam-6505	46	3	modeling	modeling	NOUN
ejpam-6505	46	4	of	of	ADP
ejpam-6505	46	5	thermal	thermal	ADJ
ejpam-6505	46	6	energy	energy	NOUN
ejpam-6505	46	7	transport	transport	NOUN
ejpam-6505	46	8	through	through	ADP
ejpam-6505	46	9	a	a	DET
ejpam-6505	46	10	porous	porous	ADJ
ejpam-6505	46	11	medium	medium	NOUN
ejpam-6505	46	12	in	in	ADP
ejpam-6505	46	13	this	this	DET
ejpam-6505	46	14	section	section	NOUN
ejpam-6505	46	15	,	,	PUNCT
ejpam-6505	46	16	we	we	PRON
ejpam-6505	46	17	present	present	VERB
ejpam-6505	46	18	the	the	DET
ejpam-6505	46	19	energy	energy	NOUN
ejpam-6505	46	20	conservation	conservation	NOUN
ejpam-6505	46	21	equation	equation	NOUN
ejpam-6505	46	22	to	to	PART
ejpam-6505	46	23	describe	describe	VERB
ejpam-6505	46	24	heat	heat	NOUN
ejpam-6505	46	25	transfer	transfer	NOUN
ejpam-6505	46	26	within	within	ADP
ejpam-6505	46	27	a	a	DET
ejpam-6505	46	28	porous	porous	ADJ
ejpam-6505	46	29	medium	medium	NOUN
ejpam-6505	46	30	based	base	VERB
ejpam-6505	46	31	on	on	ADP
ejpam-6505	46	32	the	the	DET
ejpam-6505	46	33	first	first	ADJ
ejpam-6505	46	34	law	law	NOUN
ejpam-6505	46	35	of	of	ADP
ejpam-6505	46	36	thermodynamics	thermodynamic	NOUN
ejpam-6505	46	37	.	.	PUNCT
ejpam-6505	47	1	the	the	DET
ejpam-6505	47	2	porous	porous	ADJ
ejpam-6505	47	3	medium	medium	NOUN
ejpam-6505	47	4	is	be	AUX
ejpam-6505	47	5	assumed	assume	VERB
ejpam-6505	47	6	to	to	PART
ejpam-6505	47	7	be	be	AUX
ejpam-6505	47	8	homogeneous	homogeneous	ADJ
ejpam-6505	47	9	and	and	CCONJ
ejpam-6505	47	10	isotropic	isotropic	NOUN
ejpam-6505	47	11	.	.	PUNCT
ejpam-6505	48	1	let	let	VERB
ejpam-6505	48	2	ts	ts	ADV
ejpam-6505	49	1	and	and	CCONJ
ejpam-6505	49	2	tf	tf	X
ejpam-6505	49	3	denote	denote	VERB
ejpam-6505	49	4	the	the	DET
ejpam-6505	49	5	temperatures	temperature	NOUN
ejpam-6505	49	6	of	of	ADP
ejpam-6505	49	7	the	the	DET
ejpam-6505	49	8	solid	solid	ADJ
ejpam-6505	49	9	and	and	CCONJ
ejpam-6505	49	10	fluid	fluid	ADJ
ejpam-6505	49	11	phases	phase	NOUN
ejpam-6505	49	12	,	,	PUNCT
ejpam-6505	49	13	respectively	respectively	ADV
ejpam-6505	49	14	,	,	PUNCT
ejpam-6505	49	15	with	with	ADP
ejpam-6505	49	16	the	the	DET
ejpam-6505	49	17	assumption	assumption	NOUN
ejpam-6505	49	18	that	that	SCONJ
ejpam-6505	49	19	there	there	PRON
ejpam-6505	49	20	is	be	VERB
ejpam-6505	49	21	thermal	thermal	ADJ
ejpam-6505	49	22	equilibrium	equilibrium	NOUN
ejpam-6505	49	23	between	between	ADP
ejpam-6505	49	24	these	these	DET
ejpam-6505	49	25	two	two	NUM
ejpam-6505	49	26	phases	phase	NOUN
ejpam-6505	49	27	such	such	ADJ
ejpam-6505	49	28	that	that	PRON
ejpam-6505	49	29	ts	ts	ADP
ejpam-6505	49	30	=	=	PUNCT
ejpam-6505	49	31	tf	tf	PROPN
ejpam-6505	49	32	=	=	SYM
ejpam-6505	49	33	t	t	PROPN
ejpam-6505	49	34	.	.	PUNCT
ejpam-6505	50	1	this	this	DET
ejpam-6505	50	2	assumption	assumption	NOUN
ejpam-6505	50	3	implies	imply	VERB
ejpam-6505	50	4	that	that	SCONJ
ejpam-6505	50	5	at	at	ADP
ejpam-6505	50	6	every	every	DET
ejpam-6505	50	7	point	point	NOUN
ejpam-6505	50	8	in	in	ADP
ejpam-6505	50	9	the	the	DET
ejpam-6505	50	10	medium	medium	NOUN
ejpam-6505	50	11	,	,	PUNCT
ejpam-6505	50	12	the	the	DET
ejpam-6505	50	13	solid	solid	ADJ
ejpam-6505	50	14	matrix	matrix	NOUN
ejpam-6505	50	15	and	and	CCONJ
ejpam-6505	50	16	the	the	DET
ejpam-6505	50	17	interstitial	interstitial	ADJ
ejpam-6505	50	18	fluid	fluid	NOUN
ejpam-6505	50	19	are	be	AUX
ejpam-6505	50	20	at	at	ADP
ejpam-6505	50	21	the	the	DET
ejpam-6505	50	22	same	same	ADJ
ejpam-6505	50	23	temperature	temperature	NOUN
ejpam-6505	50	24	.	.	PUNCT
ejpam-6505	51	1	furthermore	furthermore	ADV
ejpam-6505	51	2	,	,	PUNCT
ejpam-6505	51	3	we	we	PRON
ejpam-6505	51	4	neglect	neglect	VERB
ejpam-6505	51	5	several	several	ADJ
ejpam-6505	51	6	effects	effect	NOUN
ejpam-6505	51	7	to	to	PART
ejpam-6505	51	8	simplify	simplify	VERB
ejpam-6505	51	9	the	the	DET
ejpam-6505	51	10	analysis	analysis	NOUN
ejpam-6505	51	11	of	of	ADP
ejpam-6505	51	12	the	the	DET
ejpam-6505	51	13	current	current	ADJ
ejpam-6505	51	14	problem	problem	NOUN
ejpam-6505	51	15	,	,	PUNCT
ejpam-6505	51	16	including	include	VERB
ejpam-6505	51	17	;	;	PUNCT
ejpam-6505	51	18	heat	heat	NOUN
ejpam-6505	51	19	generation	generation	NOUN
ejpam-6505	51	20	due	due	ADP
ejpam-6505	51	21	to	to	ADP
ejpam-6505	51	22	radioactive	radioactive	ADJ
ejpam-6505	51	23	decay	decay	NOUN
ejpam-6505	51	24	,	,	PUNCT
ejpam-6505	51	25	viscous	viscous	ADJ
ejpam-6505	51	26	dissipation	dissipation	NOUN
ejpam-6505	51	27	,	,	PUNCT
ejpam-6505	51	28	and	and	CCONJ
ejpam-6505	51	29	work	work	NOUN
ejpam-6505	51	30	done	do	VERB
ejpam-6505	51	31	by	by	ADP
ejpam-6505	51	32	pressure	pressure	NOUN
ejpam-6505	51	33	changes	change	NOUN
ejpam-6505	51	34	.	.	PUNCT
ejpam-6505	52	1	additionally	additionally	ADV
ejpam-6505	52	2	,	,	PUNCT
ejpam-6505	52	3	the	the	DET
ejpam-6505	52	4	péclet	péclet	PROPN
ejpam-6505	52	5	number	number	NOUN
ejpam-6505	52	6	of	of	ADP
ejpam-6505	52	7	the	the	DET
ejpam-6505	52	8	fluid	fluid	ADJ
ejpam-6505	52	9	phase	phase	NOUN
ejpam-6505	52	10	is	be	AUX
ejpam-6505	52	11	assumed	assume	VERB
ejpam-6505	52	12	to	to	PART
ejpam-6505	52	13	be	be	AUX
ejpam-6505	52	14	small	small	ADJ
ejpam-6505	52	15	,	,	PUNCT
ejpam-6505	52	16	which	which	PRON
ejpam-6505	52	17	implies	imply	VERB
ejpam-6505	52	18	that	that	SCONJ
ejpam-6505	52	19	conductive	conductive	ADJ
ejpam-6505	52	20	heat	heat	NOUN
ejpam-6505	52	21	transfer	transfer	NOUN
ejpam-6505	52	22	dominates	dominate	VERB
ejpam-6505	52	23	over	over	ADP
ejpam-6505	52	24	convective	convective	ADJ
ejpam-6505	52	25	heat	heat	NOUN
ejpam-6505	52	26	transfer	transfer	NOUN
ejpam-6505	52	27	.	.	PUNCT
ejpam-6505	53	1	under	under	ADP
ejpam-6505	53	2	these	these	DET
ejpam-6505	53	3	assumptions	assumption	NOUN
ejpam-6505	53	4	,	,	PUNCT
ejpam-6505	53	5	and	and	CCONJ
ejpam-6505	53	6	considering	consider	VERB
ejpam-6505	53	7	a	a	DET
ejpam-6505	53	8	steady	steady	ADJ
ejpam-6505	53	9	-	-	PUNCT
ejpam-6505	53	10	state	state	NOUN
ejpam-6505	53	11	regime	regime	NOUN
ejpam-6505	53	12	with	with	ADP
ejpam-6505	53	13	no	no	DET
ejpam-6505	53	14	internal	internal	ADJ
ejpam-6505	53	15	heat	heat	NOUN
ejpam-6505	53	16	sources	source	NOUN
ejpam-6505	53	17	,	,	PUNCT
ejpam-6505	53	18	the	the	DET
ejpam-6505	53	19	governing	govern	VERB
ejpam-6505	53	20	energy	energy	NOUN
ejpam-6505	53	21	equation	equation	NOUN
ejpam-6505	53	22	for	for	ADP
ejpam-6505	53	23	the	the	DET
ejpam-6505	53	24	porous	porous	ADJ
ejpam-6505	53	25	medium	medium	NOUN
ejpam-6505	53	26	reduces	reduce	NOUN
ejpam-6505	53	27	to	to	PART
ejpam-6505	53	28	:	:	PUNCT
ejpam-6505	53	29	∇	∇	X
ejpam-6505	53	30	·	·	PUNCT
ejpam-6505	53	31	kp∇t	kp∇t	NOUN
ejpam-6505	53	32	=	=	SYM
ejpam-6505	53	33	0	0	NUM
ejpam-6505	53	34	,	,	PUNCT
ejpam-6505	53	35	(	(	PUNCT
ejpam-6505	53	36	2.1	2.1	NUM
ejpam-6505	53	37	)	)	PUNCT
ejpam-6505	53	38	where	where	SCONJ
ejpam-6505	53	39	kp	kp	PROPN
ejpam-6505	53	40	represents	represent	VERB
ejpam-6505	53	41	the	the	DET
ejpam-6505	53	42	effective	effective	ADJ
ejpam-6505	53	43	thermal	thermal	ADJ
ejpam-6505	53	44	conductivity	conductivity	NOUN
ejpam-6505	53	45	of	of	ADP
ejpam-6505	53	46	the	the	DET
ejpam-6505	53	47	porous	porous	ADJ
ejpam-6505	53	48	medium	medium	NOUN
ejpam-6505	53	49	,	,	PUNCT
ejpam-6505	53	50	defined	define	VERB
ejpam-6505	53	51	as	as	ADP
ejpam-6505	53	52	:	:	PUNCT
ejpam-6505	53	53	kp	kp	PROPN
ejpam-6505	53	54	=	=	SYM
ejpam-6505	53	55	(	(	PUNCT
ejpam-6505	53	56	1−	1−	NUM
ejpam-6505	53	57	ϕ)ks	ϕ)ks	PROPN
ejpam-6505	53	58	+	+	CCONJ
ejpam-6505	53	59	ϕkf	ϕkf	INTJ
ejpam-6505	53	60	,	,	PUNCT
ejpam-6505	53	61	(	(	PUNCT
ejpam-6505	53	62	2.2	2.2	NUM
ejpam-6505	53	63	)	)	PUNCT
ejpam-6505	53	64	here	here	ADV
ejpam-6505	53	65	,	,	PUNCT
ejpam-6505	53	66	ks	ks	PROPN
ejpam-6505	53	67	and	and	CCONJ
ejpam-6505	53	68	kf	kf	PROPN
ejpam-6505	53	69	are	be	AUX
ejpam-6505	53	70	the	the	DET
ejpam-6505	53	71	thermal	thermal	ADJ
ejpam-6505	53	72	conductivities	conductivity	NOUN
ejpam-6505	53	73	of	of	ADP
ejpam-6505	53	74	the	the	DET
ejpam-6505	53	75	solid	solid	ADJ
ejpam-6505	53	76	and	and	CCONJ
ejpam-6505	53	77	fluid	fluid	ADJ
ejpam-6505	53	78	phases	phase	NOUN
ejpam-6505	53	79	,	,	PUNCT
ejpam-6505	53	80	respectively	respectively	ADV
ejpam-6505	53	81	,	,	PUNCT
ejpam-6505	53	82	and	and	CCONJ
ejpam-6505	53	83	ϕ	ϕ	NOUN
ejpam-6505	53	84	is	be	AUX
ejpam-6505	53	85	the	the	DET
ejpam-6505	53	86	porosity	porosity	NOUN
ejpam-6505	53	87	of	of	ADP
ejpam-6505	53	88	the	the	DET
ejpam-6505	53	89	medium	medium	NOUN
ejpam-6505	53	90	.	.	PUNCT
ejpam-6505	54	1	3	3	X
ejpam-6505	54	2	.	.	X
ejpam-6505	54	3	thermocapillary	thermocapillary	ADJ
ejpam-6505	54	4	driven	drive	VERB
ejpam-6505	54	5	migration	migration	NOUN
ejpam-6505	54	6	of	of	ADP
ejpam-6505	54	7	a	a	DET
ejpam-6505	54	8	spherical	spherical	ADJ
ejpam-6505	54	9	droplet	droplet	NOUN
ejpam-6505	54	10	embedded	embed	VERB
ejpam-6505	54	11	in	in	ADP
ejpam-6505	54	12	a	a	DET
ejpam-6505	54	13	porous	porous	ADJ
ejpam-6505	54	14	medium	medium	NOUN
ejpam-6505	54	15	we	we	PRON
ejpam-6505	54	16	examine	examine	VERB
ejpam-6505	54	17	a	a	DET
ejpam-6505	54	18	spherical	spherical	ADJ
ejpam-6505	54	19	droplet	droplet	NOUN
ejpam-6505	54	20	,	,	PUNCT
ejpam-6505	54	21	denoted	denote	VERB
ejpam-6505	54	22	as	as	ADP
ejpam-6505	54	23	sd	sd	NOUN
ejpam-6505	54	24	,	,	PUNCT
ejpam-6505	54	25	with	with	ADP
ejpam-6505	54	26	radius	radius	NOUN
ejpam-6505	54	27	a	a	PRON
ejpam-6505	54	28	and	and	CCONJ
ejpam-6505	54	29	thermal	thermal	ADJ
ejpam-6505	54	30	conductivity	conductivity	NOUN
ejpam-6505	54	31	kd	kd	PROPN
ejpam-6505	54	32	,	,	PUNCT
ejpam-6505	54	33	situated	situate	VERB
ejpam-6505	54	34	within	within	ADP
ejpam-6505	54	35	an	an	DET
ejpam-6505	54	36	infinite	infinite	ADJ
ejpam-6505	54	37	porous	porous	ADJ
ejpam-6505	54	38	medium	medium	NOUN
ejpam-6505	54	39	having	have	VERB
ejpam-6505	54	40	effective	effective	ADJ
ejpam-6505	54	41	thermal	thermal	ADJ
ejpam-6505	54	42	conductivity	conductivity	NOUN
ejpam-6505	55	1	kp	kp	NOUN
ejpam-6505	55	2	.	.	PUNCT
ejpam-6505	56	1	let	let	AUX
ejpam-6505	56	2	(	(	PUNCT
ejpam-6505	56	3	r	r	NOUN
ejpam-6505	56	4	,	,	PUNCT
ejpam-6505	56	5	θ	θ	PROPN
ejpam-6505	56	6	,	,	PUNCT
ejpam-6505	56	7	ϕ	ϕ	NOUN
ejpam-6505	56	8	)	)	PUNCT
ejpam-6505	56	9	represent	represent	VERB
ejpam-6505	56	10	a	a	DET
ejpam-6505	56	11	system	system	NOUN
ejpam-6505	56	12	of	of	ADP
ejpam-6505	56	13	spherical	spherical	ADJ
ejpam-6505	56	14	coordinates	coordinate	NOUN
ejpam-6505	56	15	with	with	ADP
ejpam-6505	56	16	origin	origin	NOUN
ejpam-6505	56	17	o	o	NOUN
ejpam-6505	56	18	located	locate	VERB
ejpam-6505	56	19	at	at	ADP
ejpam-6505	56	20	the	the	DET
ejpam-6505	56	21	center	center	NOUN
ejpam-6505	56	22	of	of	ADP
ejpam-6505	56	23	the	the	DET
ejpam-6505	56	24	droplet	droplet	ADJ
ejpam-6505	56	25	sd	sd	NOUN
ejpam-6505	56	26	.	.	PUNCT
ejpam-6505	57	1	the	the	DET
ejpam-6505	57	2	corresponding	corresponding	ADJ
ejpam-6505	57	3	unit	unit	NOUN
ejpam-6505	57	4	vectors	vector	NOUN
ejpam-6505	57	5	in	in	ADP
ejpam-6505	57	6	this	this	DET
ejpam-6505	57	7	coordinate	coordinate	NOUN
ejpam-6505	57	8	system	system	NOUN
ejpam-6505	57	9	are	be	AUX
ejpam-6505	57	10	e⃗r	e⃗r	NOUN
ejpam-6505	57	11	,	,	PUNCT
ejpam-6505	57	12	e⃗θ	e⃗θ	PROPN
ejpam-6505	57	13	,	,	PUNCT
ejpam-6505	57	14	and	and	CCONJ
ejpam-6505	57	15	e⃗ϕ.	e⃗ϕ.	X
ejpam-6505	57	16	at	at	ADP
ejpam-6505	57	17	large	large	ADJ
ejpam-6505	57	18	distances	distance	NOUN
ejpam-6505	57	19	from	from	ADP
ejpam-6505	57	20	the	the	DET
ejpam-6505	57	21	droplet	droplet	NOUN
ejpam-6505	57	22	,	,	PUNCT
ejpam-6505	57	23	the	the	DET
ejpam-6505	57	24	porous	porous	ADJ
ejpam-6505	57	25	medium	medium	NOUN
ejpam-6505	57	26	is	be	AUX
ejpam-6505	57	27	subjected	subject	VERB
ejpam-6505	57	28	to	to	ADP
ejpam-6505	57	29	a	a	DET
ejpam-6505	57	30	uniform	uniform	ADJ
ejpam-6505	57	31	and	and	CCONJ
ejpam-6505	57	32	constant	constant	ADJ
ejpam-6505	57	33	temperature	temperature	NOUN
ejpam-6505	57	34	gradient	gradient	NOUN
ejpam-6505	57	35	,	,	PUNCT
ejpam-6505	57	36	denoted	denote	VERB
ejpam-6505	57	37	by	by	ADP
ejpam-6505	57	38	e∞	e∞	PROPN
ejpam-6505	57	39	,	,	PUNCT
ejpam-6505	57	40	directed	direct	VERB
ejpam-6505	57	41	parallel	parallel	NOUN
ejpam-6505	57	42	to	to	ADP
ejpam-6505	57	43	the	the	DET
ejpam-6505	57	44	z	z	NOUN
ejpam-6505	57	45	-	-	PUNCT
ejpam-6505	57	46	axis	axis	ADJ
ejpam-6505	57	47	,	,	PUNCT
ejpam-6505	57	48	as	as	SCONJ
ejpam-6505	57	49	illustrated	illustrate	VERB
ejpam-6505	57	50	in	in	ADP
ejpam-6505	57	51	fig	fig	NOUN
ejpam-6505	57	52	.	.	PUNCT
ejpam-6505	58	1	1	1	X
ejpam-6505	58	2	.	.	X
ejpam-6505	58	3	in	in	ADP
ejpam-6505	58	4	the	the	DET
ejpam-6505	58	5	current	current	ADJ
ejpam-6505	58	6	formulation	formulation	NOUN
ejpam-6505	58	7	,	,	PUNCT
ejpam-6505	58	8	we	we	PRON
ejpam-6505	58	9	assume	assume	VERB
ejpam-6505	58	10	that	that	SCONJ
ejpam-6505	58	11	all	all	DET
ejpam-6505	58	12	thermal	thermal	ADJ
ejpam-6505	58	13	properties	property	NOUN
ejpam-6505	58	14	of	of	ADP
ejpam-6505	58	15	both	both	CCONJ
ejpam-6505	58	16	the	the	DET
ejpam-6505	58	17	droplet	droplet	ADJ
ejpam-6505	58	18	and	and	CCONJ
ejpam-6505	58	19	the	the	DET
ejpam-6505	58	20	porous	porous	ADJ
ejpam-6505	58	21	medium	medium	NOUN
ejpam-6505	58	22	are	be	AUX
ejpam-6505	58	23	constant	constant	ADJ
ejpam-6505	58	24	and	and	CCONJ
ejpam-6505	58	25	do	do	AUX
ejpam-6505	58	26	not	not	PART
ejpam-6505	58	27	vary	vary	VERB
ejpam-6505	58	28	with	with	ADP
ejpam-6505	58	29	position	position	NOUN
ejpam-6505	58	30	or	or	CCONJ
ejpam-6505	58	31	temperature	temperature	NOUN
ejpam-6505	58	32	.	.	PUNCT
ejpam-6505	59	1	the	the	DET
ejpam-6505	59	2	problem	problem	NOUN
ejpam-6505	59	3	is	be	AUX
ejpam-6505	59	4	analyzed	analyze	VERB
ejpam-6505	59	5	in	in	ADP
ejpam-6505	59	6	two	two	NUM
ejpam-6505	59	7	stages	stage	NOUN
ejpam-6505	59	8	:	:	PUNCT
ejpam-6505	59	9	first	first	ADV
ejpam-6505	59	10	,	,	PUNCT
ejpam-6505	59	11	we	we	PRON
ejpam-6505	59	12	drive	drive	VERB
ejpam-6505	59	13	the	the	DET
ejpam-6505	59	14	temperature	temperature	NOUN
ejpam-6505	59	15	distribution	distribution	NOUN
ejpam-6505	59	16	fields	field	NOUN
ejpam-6505	59	17	within	within	ADP
ejpam-6505	59	18	the	the	DET
ejpam-6505	59	19	droplet	droplet	NOUN
ejpam-6505	59	20	and	and	CCONJ
ejpam-6505	59	21	the	the	DET
ejpam-6505	59	22	surrounding	surround	VERB
ejpam-6505	59	23	porous	porous	ADJ
ejpam-6505	59	24	medium	medium	NOUN
ejpam-6505	59	25	;	;	PUNCT
ejpam-6505	59	26	and	and	CCONJ
ejpam-6505	59	27	second	second	ADV
ejpam-6505	59	28	,	,	PUNCT
ejpam-6505	59	29	we	we	PRON
ejpam-6505	59	30	develop	develop	VERB
ejpam-6505	59	31	the	the	DET
ejpam-6505	59	32	corresponding	corresponding	ADJ
ejpam-6505	59	33	flow	flow	NOUN
ejpam-6505	59	34	field	field	NOUN
ejpam-6505	59	35	induced	induce	VERB
ejpam-6505	59	36	by	by	ADP
ejpam-6505	59	37	thermocapillary	thermocapillary	ADJ
ejpam-6505	59	38	effects	effect	NOUN
ejpam-6505	59	39	on	on	ADP
ejpam-6505	59	40	the	the	DET
ejpam-6505	59	41	droplet	droplet	NOUN
ejpam-6505	59	42	and	and	CCONJ
ejpam-6505	59	43	the	the	DET
ejpam-6505	59	44	brinkman	brinkman	PROPN
ejpam-6505	59	45	porous	porous	ADJ
ejpam-6505	59	46	medium	medium	NOUN
ejpam-6505	59	47	.	.	PUNCT
ejpam-6505	59	48	a.	a.	PROPN
ejpam-6505	59	49	s.	s.	PROPN
ejpam-6505	59	50	aamer	aamer	PROPN
ejpam-6505	59	51	,	,	PUNCT
ejpam-6505	59	52	b.	b.	PROPN
ejpam-6505	59	53	a.	a.	PROPN
ejpam-6505	59	54	ahmed	ahmed	PROPN
ejpam-6505	59	55	,	,	PUNCT
ejpam-6505	59	56	s.	s.	PROPN
ejpam-6505	59	57	a.	a.	PROPN
ejpam-6505	59	58	mahrous	mahrous	PROPN
ejpam-6505	59	59	/	/	SYM
ejpam-6505	59	60	eur	eur	PROPN
ejpam-6505	59	61	.	.	PUNCT
ejpam-6505	60	1	j.	j.	PROPN
ejpam-6505	60	2	pure	pure	PROPN
ejpam-6505	60	3	appl	appl	PROPN
ejpam-6505	60	4	.	.	PROPN
ejpam-6505	60	5	math	math	PROPN
ejpam-6505	60	6	,	,	PUNCT
ejpam-6505	60	7	18	18	NUM
ejpam-6505	60	8	(	(	PUNCT
ejpam-6505	60	9	3	3	NUM
ejpam-6505	60	10	)	)	PUNCT
ejpam-6505	60	11	(	(	PUNCT
ejpam-6505	60	12	2025	2025	NUM
ejpam-6505	60	13	)	)	PUNCT
ejpam-6505	60	14	,	,	PUNCT
ejpam-6505	60	15	6505	6505	NUM
ejpam-6505	60	16	of	of	ADP
ejpam-6505	60	17	figure	figure	NOUN
ejpam-6505	60	18	1	1	NUM
ejpam-6505	60	19	:	:	PUNCT
ejpam-6505	60	20	geometrical	geometrical	ADJ
ejpam-6505	60	21	sketch	sketch	NOUN
ejpam-6505	60	22	for	for	ADP
ejpam-6505	60	23	a	a	DET
ejpam-6505	60	24	spherical	spherical	ADJ
ejpam-6505	60	25	droplet	droplet	ADJ
ejpam-6505	60	26	sd	sd	NOUN
ejpam-6505	60	27	embedded	embed	VERB
ejpam-6505	60	28	in	in	ADP
ejpam-6505	60	29	a	a	DET
ejpam-6505	60	30	porous	porous	ADJ
ejpam-6505	60	31	medium	medium	NOUN
ejpam-6505	60	32	.	.	PUNCT
ejpam-6505	61	1	3.1	3.1	NUM
ejpam-6505	61	2	.	.	PUNCT
ejpam-6505	61	3	thermal	thermal	ADJ
ejpam-6505	61	4	distributions	distribution	NOUN
ejpam-6505	61	5	of	of	ADP
ejpam-6505	61	6	the	the	DET
ejpam-6505	61	7	spherical	spherical	ADJ
ejpam-6505	61	8	droplet	droplet	NOUN
ejpam-6505	61	9	and	and	CCONJ
ejpam-6505	61	10	the	the	DET
ejpam-6505	61	11	porous	porous	ADJ
ejpam-6505	61	12	medium	medium	NOUN
ejpam-6505	61	13	according	accord	VERB
ejpam-6505	61	14	to	to	ADP
ejpam-6505	61	15	the	the	DET
ejpam-6505	61	16	assumptions	assumption	NOUN
ejpam-6505	61	17	stated	state	VERB
ejpam-6505	61	18	earlier	early	ADV
ejpam-6505	61	19	,	,	PUNCT
ejpam-6505	61	20	the	the	DET
ejpam-6505	61	21	energy	energy	NOUN
ejpam-6505	61	22	equation	equation	NOUN
ejpam-6505	61	23	governing	govern	VERB
ejpam-6505	61	24	the	the	DET
ejpam-6505	61	25	temperature	temperature	NOUN
ejpam-6505	61	26	distribution	distribution	NOUN
ejpam-6505	61	27	td(r	td(r	NOUN
ejpam-6505	61	28	,	,	PUNCT
ejpam-6505	61	29	θ	θ	NOUN
ejpam-6505	61	30	)	)	PUNCT
ejpam-6505	61	31	for	for	ADP
ejpam-6505	61	32	the	the	DET
ejpam-6505	61	33	viscous	viscous	ADJ
ejpam-6505	61	34	fluid	fluid	NOUN
ejpam-6505	61	35	inside	inside	ADP
ejpam-6505	61	36	the	the	DET
ejpam-6505	61	37	spherical	spherical	ADJ
ejpam-6505	61	38	droplet	droplet	NOUN
ejpam-6505	61	39	,	,	PUNCT
ejpam-6505	61	40	with	with	ADP
ejpam-6505	61	41	thermal	thermal	ADJ
ejpam-6505	61	42	conductivity	conductivity	NOUN
ejpam-6505	61	43	kd	kd	PROPN
ejpam-6505	61	44	,	,	PUNCT
ejpam-6505	61	45	is	be	AUX
ejpam-6505	61	46	given	give	VERB
ejpam-6505	61	47	by	by	ADP
ejpam-6505	61	48	the	the	DET
ejpam-6505	61	49	steady	steady	ADJ
ejpam-6505	61	50	-	-	PUNCT
ejpam-6505	61	51	state	state	NOUN
ejpam-6505	61	52	laplace	laplace	NOUN
ejpam-6505	61	53	equation	equation	NOUN
ejpam-6505	61	54	:	:	PUNCT
ejpam-6505	61	55	∇2td	∇2td	NOUN
ejpam-6505	61	56	=	=	PUNCT
ejpam-6505	61	57	0	0	NUM
ejpam-6505	61	58	,	,	PUNCT
ejpam-6505	61	59	r	r	NOUN
ejpam-6505	61	60	<	<	X
ejpam-6505	61	61	a.	a.	NOUN
ejpam-6505	61	62	(	(	PUNCT
ejpam-6505	61	63	3.1	3.1	NUM
ejpam-6505	61	64	)	)	PUNCT
ejpam-6505	61	65	similarly	similarly	ADV
ejpam-6505	61	66	,	,	PUNCT
ejpam-6505	61	67	for	for	ADP
ejpam-6505	61	68	the	the	DET
ejpam-6505	61	69	porous	porous	ADJ
ejpam-6505	61	70	medium	medium	NOUN
ejpam-6505	61	71	surrounding	surround	VERB
ejpam-6505	61	72	the	the	DET
ejpam-6505	61	73	droplet	droplet	NOUN
ejpam-6505	61	74	with	with	ADP
ejpam-6505	61	75	effective	effective	ADJ
ejpam-6505	61	76	thermal	thermal	ADJ
ejpam-6505	61	77	conductivity	conductivity	NOUN
ejpam-6505	61	78	kp	kp	PROPN
ejpam-6505	61	79	,	,	PUNCT
ejpam-6505	61	80	the	the	DET
ejpam-6505	61	81	temperature	temperature	NOUN
ejpam-6505	61	82	distribution	distribution	NOUN
ejpam-6505	61	83	satisfies	satisfie	NOUN
ejpam-6505	61	84	:	:	PUNCT
ejpam-6505	62	1	∇2tp	∇2tp	PROPN
ejpam-6505	62	2	=	=	PUNCT
ejpam-6505	62	3	0	0	NUM
ejpam-6505	62	4	,	,	PUNCT
ejpam-6505	62	5	r	r	NOUN
ejpam-6505	62	6	>	>	X
ejpam-6505	62	7	a.	a.	NOUN
ejpam-6505	62	8	(	(	PUNCT
ejpam-6505	62	9	3.2	3.2	NUM
ejpam-6505	62	10	)	)	PUNCT
ejpam-6505	62	11	it	it	PRON
ejpam-6505	62	12	should	should	AUX
ejpam-6505	62	13	be	be	AUX
ejpam-6505	62	14	noted	note	VERB
ejpam-6505	62	15	that	that	SCONJ
ejpam-6505	62	16	equations	equation	NOUN
ejpam-6505	62	17	(	(	PUNCT
ejpam-6505	62	18	3.1	3.1	NUM
ejpam-6505	62	19	)	)	PUNCT
ejpam-6505	62	20	and	and	CCONJ
ejpam-6505	62	21	(	(	PUNCT
ejpam-6505	62	22	3.2	3.2	NUM
ejpam-6505	62	23	)	)	PUNCT
ejpam-6505	62	24	omit	omit	VERB
ejpam-6505	62	25	the	the	DET
ejpam-6505	62	26	convective	convective	ADJ
ejpam-6505	62	27	heat	heat	NOUN
ejpam-6505	62	28	transfer	transfer	NOUN
ejpam-6505	62	29	term	term	NOUN
ejpam-6505	62	30	.	.	PUNCT
ejpam-6505	63	1	this	this	PRON
ejpam-6505	63	2	is	be	AUX
ejpam-6505	63	3	justified	justify	VERB
ejpam-6505	63	4	under	under	ADP
ejpam-6505	63	5	the	the	DET
ejpam-6505	63	6	assumption	assumption	NOUN
ejpam-6505	63	7	of	of	ADP
ejpam-6505	63	8	low	low	ADJ
ejpam-6505	63	9	reynolds	reynold	NOUN
ejpam-6505	63	10	number	number	NOUN
ejpam-6505	63	11	and	and	CCONJ
ejpam-6505	63	12	small	small	ADJ
ejpam-6505	63	13	droplet	droplet	ADJ
ejpam-6505	63	14	size	size	NOUN
ejpam-6505	63	15	,	,	PUNCT
ejpam-6505	63	16	where	where	SCONJ
ejpam-6505	63	17	the	the	DET
ejpam-6505	63	18	fluid	fluid	ADJ
ejpam-6505	63	19	motion	motion	NOUN
ejpam-6505	63	20	is	be	AUX
ejpam-6505	63	21	slow	slow	ADJ
ejpam-6505	63	22	and	and	CCONJ
ejpam-6505	63	23	the	the	DET
ejpam-6505	63	24	corresponding	corresponding	ADJ
ejpam-6505	63	25	péclet	péclet	PROPN
ejpam-6505	63	26	number	number	NOUN
ejpam-6505	63	27	is	be	AUX
ejpam-6505	63	28	small	small	ADJ
ejpam-6505	63	29	.	.	PUNCT
ejpam-6505	64	1	in	in	ADP
ejpam-6505	64	2	such	such	ADJ
ejpam-6505	64	3	regimes	regime	NOUN
ejpam-6505	64	4	,	,	PUNCT
ejpam-6505	64	5	heat	heat	NOUN
ejpam-6505	64	6	conduction	conduction	NOUN
ejpam-6505	64	7	dominates	dominate	VERB
ejpam-6505	64	8	over	over	ADP
ejpam-6505	64	9	convection	convection	NOUN
ejpam-6505	64	10	[	[	X
ejpam-6505	64	11	29	29	NUM
ejpam-6505	64	12	]	]	PUNCT
ejpam-6505	64	13	,	,	PUNCT
ejpam-6505	64	14	allowing	allow	VERB
ejpam-6505	64	15	the	the	DET
ejpam-6505	64	16	convective	convective	ADJ
ejpam-6505	64	17	effects	effect	NOUN
ejpam-6505	64	18	to	to	PART
ejpam-6505	64	19	be	be	AUX
ejpam-6505	64	20	neglected	neglect	VERB
ejpam-6505	64	21	.	.	PUNCT
ejpam-6505	65	1	however	however	ADV
ejpam-6505	65	2	,	,	PUNCT
ejpam-6505	65	3	if	if	SCONJ
ejpam-6505	65	4	the	the	DET
ejpam-6505	65	5	péclet	péclet	PROPN
ejpam-6505	65	6	number	number	NOUN
ejpam-6505	65	7	is	be	AUX
ejpam-6505	65	8	of	of	ADP
ejpam-6505	65	9	order	order	NOUN
ejpam-6505	65	10	0.1	0.1	NUM
ejpam-6505	65	11	or	or	CCONJ
ejpam-6505	65	12	higher	high	ADJ
ejpam-6505	65	13	,	,	PUNCT
ejpam-6505	65	14	convective	convective	ADJ
ejpam-6505	65	15	effects	effect	NOUN
ejpam-6505	65	16	may	may	AUX
ejpam-6505	65	17	become	become	VERB
ejpam-6505	65	18	significant	significant	ADJ
ejpam-6505	65	19	and	and	CCONJ
ejpam-6505	65	20	should	should	AUX
ejpam-6505	65	21	not	not	PART
ejpam-6505	65	22	be	be	AUX
ejpam-6505	65	23	disregarded	disregard	VERB
ejpam-6505	65	24	[	[	X
ejpam-6505	65	25	30	30	NUM
ejpam-6505	65	26	]	]	PUNCT
ejpam-6505	65	27	.	.	PUNCT
ejpam-6505	66	1	the	the	DET
ejpam-6505	66	2	boundary	boundary	ADJ
ejpam-6505	66	3	conditions	condition	NOUN
ejpam-6505	66	4	at	at	ADP
ejpam-6505	66	5	the	the	DET
ejpam-6505	66	6	droplet	droplet	ADJ
ejpam-6505	66	7	surface	surface	NOUN
ejpam-6505	66	8	(	(	PUNCT
ejpam-6505	66	9	r	r	NOUN
ejpam-6505	66	10	=	=	SYM
ejpam-6505	66	11	a	a	NOUN
ejpam-6505	66	12	)	)	PUNCT
ejpam-6505	66	13	require	require	VERB
ejpam-6505	66	14	that	that	SCONJ
ejpam-6505	66	15	both	both	CCONJ
ejpam-6505	66	16	the	the	DET
ejpam-6505	66	17	temperature	temperature	NOUN
ejpam-6505	66	18	and	and	CCONJ
ejpam-6505	66	19	the	the	DET
ejpam-6505	66	20	normal	normal	ADJ
ejpam-6505	66	21	heat	heat	NOUN
ejpam-6505	66	22	flux	flux	NOUN
ejpam-6505	66	23	be	be	AUX
ejpam-6505	66	24	continuous	continuous	ADJ
ejpam-6505	66	25	across	across	ADP
ejpam-6505	66	26	the	the	DET
ejpam-6505	66	27	interface	interface	NOUN
ejpam-6505	66	28	.	.	PUNCT
ejpam-6505	67	1	additionally	additionally	ADV
ejpam-6505	67	2	,	,	PUNCT
ejpam-6505	67	3	far	far	ADV
ejpam-6505	67	4	from	from	ADP
ejpam-6505	67	5	the	the	DET
ejpam-6505	67	6	droplet	droplet	NOUN
ejpam-6505	67	7	,	,	PUNCT
ejpam-6505	67	8	the	the	DET
ejpam-6505	67	9	fluid	fluid	ADJ
ejpam-6505	67	10	temperature	temperature	NOUN
ejpam-6505	67	11	should	should	AUX
ejpam-6505	67	12	approach	approach	VERB
ejpam-6505	67	13	the	the	DET
ejpam-6505	67	14	linear	linear	ADJ
ejpam-6505	67	15	profile	profile	NOUN
ejpam-6505	67	16	imposed	impose	VERB
ejpam-6505	67	17	in	in	ADP
ejpam-6505	67	18	the	the	DET
ejpam-6505	67	19	ambient	ambient	ADJ
ejpam-6505	67	20	medium	medium	NOUN
ejpam-6505	67	21	,	,	PUNCT
ejpam-6505	67	22	while	while	SCONJ
ejpam-6505	67	23	inside	inside	ADP
ejpam-6505	67	24	the	the	DET
ejpam-6505	67	25	droplet	droplet	NOUN
ejpam-6505	67	26	it	it	PRON
ejpam-6505	67	27	remains	remain	VERB
ejpam-6505	67	28	finite	finite	ADJ
ejpam-6505	67	29	.	.	PUNCT
ejpam-6505	68	1	now	now	ADV
ejpam-6505	68	2	the	the	DET
ejpam-6505	68	3	boundary	boundary	ADJ
ejpam-6505	68	4	conditions	condition	NOUN
ejpam-6505	68	5	are	be	AUX
ejpam-6505	68	6	stated	state	VERB
ejpam-6505	68	7	as	as	ADP
ejpam-6505	68	8	:	:	PUNCT
ejpam-6505	68	9	tp	tp	PART
ejpam-6505	68	10	=	=	NOUN
ejpam-6505	68	11	td	td	PROPN
ejpam-6505	68	12	,	,	PUNCT
ejpam-6505	68	13	r	r	NOUN
ejpam-6505	68	14	=	=	SYM
ejpam-6505	68	15	a	a	PROPN
ejpam-6505	68	16	,	,	PUNCT
ejpam-6505	68	17	kp	kp	PROPN
ejpam-6505	68	18	∂tp	∂tp	PROPN
ejpam-6505	68	19	∂r	∂r	PROPN
ejpam-6505	69	1	=	=	NUM
ejpam-6505	69	2	kd	kd	PROPN
ejpam-6505	69	3	∂td	∂td	PROPN
ejpam-6505	70	1	∂r	∂r	PROPN
ejpam-6505	70	2	,	,	PUNCT
ejpam-6505	70	3	r	r	NOUN
ejpam-6505	70	4	=	=	SYM
ejpam-6505	70	5	a	a	NOUN
ejpam-6505	70	6	,	,	PUNCT
ejpam-6505	70	7			PROPN
ejpam-6505	70	8	(	(	PUNCT
ejpam-6505	70	9	3.3	3.3	NUM
ejpam-6505	70	10	)	)	PUNCT
ejpam-6505	70	11	td	td	NOUN
ejpam-6505	70	12	is	be	AUX
ejpam-6505	70	13	finite	finite	ADJ
ejpam-6505	70	14	,	,	PUNCT
ejpam-6505	70	15	r	r	NOUN
ejpam-6505	70	16	<	<	X
ejpam-6505	70	17	a.	a.	NOUN
ejpam-6505	70	18	(	(	PUNCT
ejpam-6505	70	19	3.4	3.4	NUM
ejpam-6505	70	20	)	)	PUNCT
ejpam-6505	70	21	we	we	PRON
ejpam-6505	70	22	place	place	VERB
ejpam-6505	70	23	the	the	DET
ejpam-6505	70	24	origin	origin	NOUN
ejpam-6505	70	25	of	of	ADP
ejpam-6505	70	26	the	the	DET
ejpam-6505	70	27	coordinate	coordinate	NOUN
ejpam-6505	70	28	system	system	NOUN
ejpam-6505	70	29	at	at	ADP
ejpam-6505	70	30	the	the	DET
ejpam-6505	70	31	droplet	droplet	ADJ
ejpam-6505	70	32	center	center	NOUN
ejpam-6505	70	33	.	.	PUNCT
ejpam-6505	71	1	a	a	DET
ejpam-6505	71	2	linear	linear	ADJ
ejpam-6505	71	3	temperature	temperature	NOUN
ejpam-6505	71	4	field	field	NOUN
ejpam-6505	71	5	t∞(z	t∞(z	NOUN
ejpam-6505	71	6	)	)	PUNCT
ejpam-6505	71	7	is	be	AUX
ejpam-6505	71	8	imposed	impose	VERB
ejpam-6505	71	9	in	in	ADP
ejpam-6505	71	10	the	the	DET
ejpam-6505	71	11	far	far	ADJ
ejpam-6505	71	12	field	field	NOUN
ejpam-6505	71	13	of	of	ADP
ejpam-6505	71	14	the	the	DET
ejpam-6505	71	15	surrounding	surround	VERB
ejpam-6505	71	16	fluid	fluid	NOUN
ejpam-6505	71	17	,	,	PUNCT
ejpam-6505	71	18	described	describe	VERB
ejpam-6505	71	19	by	by	ADP
ejpam-6505	71	20	:	:	PUNCT
ejpam-6505	71	21	t∞	t∞	NOUN
ejpam-6505	71	22	=	=	SYM
ejpam-6505	71	23	t0	t0	PROPN
ejpam-6505	71	24	+	+	CCONJ
ejpam-6505	71	25	e∞z	e∞z	NOUN
ejpam-6505	71	26	=	=	SYM
ejpam-6505	71	27	t0	t0	PROPN
ejpam-6505	71	28	+	+	CCONJ
ejpam-6505	71	29	e∞r	e∞r	PROPN
ejpam-6505	71	30	cos	cos	ADP
ejpam-6505	71	31	θ	θ	PROPN
ejpam-6505	71	32	,	,	PUNCT
ejpam-6505	71	33	(	(	PUNCT
ejpam-6505	71	34	3.5	3.5	NUM
ejpam-6505	71	35	)	)	PUNCT
ejpam-6505	71	36	a.	a.	NOUN
ejpam-6505	71	37	s.	s.	PROPN
ejpam-6505	71	38	aamer	aamer	PROPN
ejpam-6505	71	39	,	,	PUNCT
ejpam-6505	71	40	b.	b.	PROPN
ejpam-6505	71	41	a.	a.	PROPN
ejpam-6505	71	42	ahmed	ahmed	PROPN
ejpam-6505	71	43	,	,	PUNCT
ejpam-6505	71	44	s.	s.	PROPN
ejpam-6505	71	45	a.	a.	PROPN
ejpam-6505	71	46	mahrous	mahrous	PROPN
ejpam-6505	71	47	/	/	SYM
ejpam-6505	71	48	eur	eur	PROPN
ejpam-6505	71	49	.	.	PUNCT
ejpam-6505	72	1	j.	j.	PROPN
ejpam-6505	72	2	pure	pure	PROPN
ejpam-6505	72	3	appl	appl	PROPN
ejpam-6505	72	4	.	.	PROPN
ejpam-6505	72	5	math	math	PROPN
ejpam-6505	72	6	,	,	PUNCT
ejpam-6505	72	7	18	18	NUM
ejpam-6505	72	8	(	(	PUNCT
ejpam-6505	72	9	3	3	NUM
ejpam-6505	72	10	)	)	PUNCT
ejpam-6505	72	11	(	(	PUNCT
ejpam-6505	72	12	2025	2025	NUM
ejpam-6505	72	13	)	)	PUNCT
ejpam-6505	72	14	,	,	PUNCT
ejpam-6505	72	15	6505	6505	NUM
ejpam-6505	72	16	of	of	ADP
ejpam-6505	72	17	where	where	SCONJ
ejpam-6505	72	18	e∞	e∞	PROPN
ejpam-6505	72	19	is	be	AUX
ejpam-6505	72	20	unvarying	unvarye	VERB
ejpam-6505	72	21	and	and	CCONJ
ejpam-6505	72	22	t0	t0	PROPN
ejpam-6505	72	23	is	be	AUX
ejpam-6505	72	24	also	also	ADV
ejpam-6505	72	25	a	a	DET
ejpam-6505	72	26	constant	constant	ADJ
ejpam-6505	72	27	that	that	PRON
ejpam-6505	72	28	represent	represent	VERB
ejpam-6505	72	29	the	the	DET
ejpam-6505	72	30	reference	reference	NOUN
ejpam-6505	72	31	temperature	temperature	NOUN
ejpam-6505	72	32	at	at	ADP
ejpam-6505	72	33	the	the	DET
ejpam-6505	72	34	droplet	droplet	ADJ
ejpam-6505	72	35	center	center	NOUN
ejpam-6505	72	36	.	.	PUNCT
ejpam-6505	73	1	the	the	DET
ejpam-6505	73	2	capillary	capillary	ADJ
ejpam-6505	73	3	number	number	NOUN
ejpam-6505	73	4	ca	ca	NOUN
ejpam-6505	73	5	is	be	AUX
ejpam-6505	73	6	assumed	assume	VERB
ejpam-6505	73	7	to	to	PART
ejpam-6505	73	8	be	be	AUX
ejpam-6505	73	9	small	small	ADJ
ejpam-6505	73	10	(	(	PUNCT
ejpam-6505	73	11	that	that	PRON
ejpam-6505	73	12	is	is	ADV
ejpam-6505	73	13	,	,	PUNCT
ejpam-6505	73	14	the	the	DET
ejpam-6505	73	15	surface	surface	NOUN
ejpam-6505	73	16	tension	tension	NOUN
ejpam-6505	73	17	dominates	dominate	VERB
ejpam-6505	73	18	viscous	viscous	ADJ
ejpam-6505	73	19	forces	force	NOUN
ejpam-6505	73	20	)	)	PUNCT
ejpam-6505	73	21	,	,	PUNCT
ejpam-6505	73	22	ensuring	ensure	VERB
ejpam-6505	73	23	that	that	SCONJ
ejpam-6505	73	24	the	the	DET
ejpam-6505	73	25	droplet	droplet	PROPN
ejpam-6505	73	26	maintains	maintain	VERB
ejpam-6505	73	27	a	a	DET
ejpam-6505	73	28	spherical	spherical	ADJ
ejpam-6505	73	29	shape	shape	NOUN
ejpam-6505	73	30	under	under	ADP
ejpam-6505	73	31	thermocapillary	thermocapillary	ADJ
ejpam-6505	73	32	migration	migration	NOUN
ejpam-6505	73	33	.	.	PUNCT
ejpam-6505	74	1	solving	solve	VERB
ejpam-6505	74	2	the	the	DET
ejpam-6505	74	3	laplace	laplace	NOUN
ejpam-6505	74	4	equations	equation	NOUN
ejpam-6505	74	5	with	with	ADP
ejpam-6505	74	6	the	the	DET
ejpam-6505	74	7	above	above	ADJ
ejpam-6505	74	8	boundary	boundary	ADJ
ejpam-6505	74	9	conditions	condition	NOUN
ejpam-6505	74	10	yields	yield	VERB
ejpam-6505	74	11	the	the	DET
ejpam-6505	74	12	following	follow	VERB
ejpam-6505	74	13	expressions	expression	NOUN
ejpam-6505	74	14	for	for	ADP
ejpam-6505	74	15	the	the	DET
ejpam-6505	74	16	temperature	temperature	NOUN
ejpam-6505	74	17	distributions	distribution	NOUN
ejpam-6505	74	18	in	in	ADP
ejpam-6505	74	19	the	the	DET
ejpam-6505	74	20	porous	porous	ADJ
ejpam-6505	74	21	medium	medium	NOUN
ejpam-6505	74	22	and	and	CCONJ
ejpam-6505	74	23	inside	inside	ADP
ejpam-6505	74	24	the	the	DET
ejpam-6505	74	25	droplet	droplet	NOUN
ejpam-6505	74	26	:	:	PUNCT
ejpam-6505	74	27	tp	tp	ADP
ejpam-6505	74	28	=	=	SYM
ejpam-6505	74	29	t0	t0	PROPN
ejpam-6505	74	30	+	+	CCONJ
ejpam-6505	74	31	e∞	e∞	X
ejpam-6505	74	32	[	[	PUNCT
ejpam-6505	74	33	1−	1−	NUM
ejpam-6505	74	34	k	k	NOUN
ejpam-6505	74	35	−	−	NOUN
ejpam-6505	74	36	1	1	NUM
ejpam-6505	74	37	2	2	NUM
ejpam-6505	74	38	+	+	CCONJ
ejpam-6505	74	39	k	k	X
ejpam-6505	74	40	(	(	PUNCT
ejpam-6505	74	41	a	a	DET
ejpam-6505	74	42	r	r	NOUN
ejpam-6505	74	43	)	)	PUNCT
ejpam-6505	74	44	3	3	NUM
ejpam-6505	74	45	]	]	X
ejpam-6505	74	46	r	r	NOUN
ejpam-6505	74	47	cos	cos	PROPN
ejpam-6505	74	48	θ	θ	PROPN
ejpam-6505	74	49	,	,	PUNCT
ejpam-6505	74	50	(	(	PUNCT
ejpam-6505	74	51	3.6	3.6	NUM
ejpam-6505	74	52	)	)	PUNCT
ejpam-6505	74	53	td	td	NOUN
ejpam-6505	74	54	=	=	SYM
ejpam-6505	74	55	t0	t0	PROPN
ejpam-6505	75	1	+	+	CCONJ
ejpam-6505	75	2	3e∞	3e∞	NUM
ejpam-6505	75	3	2	2	NUM
ejpam-6505	76	1	+	+	CCONJ
ejpam-6505	76	2	k	k	PROPN
ejpam-6505	76	3	r	r	PROPN
ejpam-6505	76	4	cos	cos	PROPN
ejpam-6505	76	5	θ	θ	PROPN
ejpam-6505	76	6	,	,	PUNCT
ejpam-6505	76	7	(	(	PUNCT
ejpam-6505	76	8	3.7	3.7	NUM
ejpam-6505	76	9	)	)	PUNCT
ejpam-6505	76	10	where	where	SCONJ
ejpam-6505	76	11	k	k	NOUN
ejpam-6505	76	12	=	=	SYM
ejpam-6505	76	13	kd	kd	PROPN
ejpam-6505	76	14	/	/	SYM
ejpam-6505	76	15	kp	kp	PROPN
ejpam-6505	76	16	is	be	AUX
ejpam-6505	76	17	the	the	DET
ejpam-6505	76	18	ratio	ratio	NOUN
ejpam-6505	76	19	of	of	ADP
ejpam-6505	76	20	thermal	thermal	ADJ
ejpam-6505	76	21	conductivities	conductivity	NOUN
ejpam-6505	76	22	of	of	ADP
ejpam-6505	76	23	the	the	DET
ejpam-6505	76	24	droplet	droplet	NOUN
ejpam-6505	76	25	to	to	ADP
ejpam-6505	76	26	the	the	DET
ejpam-6505	76	27	porous	porous	ADJ
ejpam-6505	76	28	medium	medium	NOUN
ejpam-6505	76	29	.	.	PUNCT
ejpam-6505	76	30	3.2	3.2	NUM
ejpam-6505	76	31	.	.	PUNCT
ejpam-6505	77	1	fluid	fluid	ADJ
ejpam-6505	77	2	flow	flow	NOUN
ejpam-6505	77	3	inside	inside	ADP
ejpam-6505	77	4	both	both	CCONJ
ejpam-6505	77	5	the	the	DET
ejpam-6505	77	6	droplet	droplet	ADJ
ejpam-6505	77	7	and	and	CCONJ
ejpam-6505	77	8	the	the	DET
ejpam-6505	77	9	porous	porous	ADJ
ejpam-6505	77	10	medium	medium	NOUN
ejpam-6505	77	11	in	in	ADP
ejpam-6505	77	12	the	the	DET
ejpam-6505	77	13	case	case	NOUN
ejpam-6505	77	14	of	of	ADP
ejpam-6505	77	15	thermocapillary	thermocapillary	ADJ
ejpam-6505	77	16	migration	migration	NOUN
ejpam-6505	77	17	the	the	DET
ejpam-6505	77	18	governing	govern	VERB
ejpam-6505	77	19	equations	equation	NOUN
ejpam-6505	77	20	for	for	ADP
ejpam-6505	77	21	the	the	DET
ejpam-6505	77	22	slow	slow	ADJ
ejpam-6505	77	23	,	,	PUNCT
ejpam-6505	77	24	steady	steady	ADJ
ejpam-6505	77	25	,	,	PUNCT
ejpam-6505	77	26	and	and	CCONJ
ejpam-6505	77	27	incompressible	incompressible	ADJ
ejpam-6505	77	28	flow	flow	NOUN
ejpam-6505	77	29	of	of	ADP
ejpam-6505	77	30	a	a	DET
ejpam-6505	77	31	viscous	viscous	ADJ
ejpam-6505	77	32	fluid	fluid	NOUN
ejpam-6505	77	33	through	through	ADP
ejpam-6505	77	34	a	a	DET
ejpam-6505	77	35	porous	porous	ADJ
ejpam-6505	77	36	medium	medium	NOUN
ejpam-6505	77	37	are	be	AUX
ejpam-6505	77	38	derived	derive	VERB
ejpam-6505	77	39	from	from	ADP
ejpam-6505	77	40	the	the	DET
ejpam-6505	77	41	brinkman	brinkman	PROPN
ejpam-6505	77	42	model	model	PROPN
ejpam-6505	77	43	.	.	PUNCT
ejpam-6505	78	1	this	this	DET
ejpam-6505	78	2	model	model	NOUN
ejpam-6505	78	3	is	be	AUX
ejpam-6505	78	4	a	a	DET
ejpam-6505	78	5	modification	modification	NOUN
ejpam-6505	78	6	of	of	ADP
ejpam-6505	78	7	the	the	DET
ejpam-6505	78	8	classical	classical	ADJ
ejpam-6505	78	9	darcy	darcy	PROPN
ejpam-6505	78	10	’s	’s	PART
ejpam-6505	78	11	law	law	NOUN
ejpam-6505	78	12	and	and	CCONJ
ejpam-6505	78	13	incorporates	incorporate	VERB
ejpam-6505	78	14	viscous	viscous	ADJ
ejpam-6505	78	15	shear	shear	NOUN
ejpam-6505	78	16	effects	effect	NOUN
ejpam-6505	78	17	by	by	ADP
ejpam-6505	78	18	including	include	VERB
ejpam-6505	78	19	a	a	DET
ejpam-6505	78	20	laplacian	laplacian	ADJ
ejpam-6505	78	21	term	term	NOUN
ejpam-6505	78	22	.	.	PUNCT
ejpam-6505	79	1	assuming	assume	VERB
ejpam-6505	79	2	the	the	DET
ejpam-6505	79	3	absence	absence	NOUN
ejpam-6505	79	4	of	of	ADP
ejpam-6505	79	5	body	body	NOUN
ejpam-6505	79	6	forces	force	NOUN
ejpam-6505	79	7	and	and	CCONJ
ejpam-6505	79	8	negligible	negligible	ADJ
ejpam-6505	79	9	inertial	inertial	ADJ
ejpam-6505	79	10	effects	effect	NOUN
ejpam-6505	79	11	(	(	PUNCT
ejpam-6505	79	12	i.e.	i.e.	X
ejpam-6505	79	13	,	,	PUNCT
ejpam-6505	79	14	low	low	ADJ
ejpam-6505	79	15	reynolds	reynold	NOUN
ejpam-6505	79	16	number	number	NOUN
ejpam-6505	79	17	flow	flow	NOUN
ejpam-6505	79	18	)	)	PUNCT
ejpam-6505	79	19	,	,	PUNCT
ejpam-6505	79	20	the	the	DET
ejpam-6505	79	21	equations	equation	NOUN
ejpam-6505	79	22	simplify	simplify	VERB
ejpam-6505	79	23	and	and	CCONJ
ejpam-6505	79	24	can	can	AUX
ejpam-6505	79	25	be	be	AUX
ejpam-6505	79	26	written	write	VERB
ejpam-6505	79	27	as	as	ADP
ejpam-6505	79	28	:	:	PUNCT
ejpam-6505	79	29	∇	∇	X
ejpam-6505	79	30	·	·	PUNCT
ejpam-6505	79	31	q⃗	q⃗	PROPN
ejpam-6505	79	32	=	=	SYM
ejpam-6505	79	33	0	0	NUM
ejpam-6505	79	34	,	,	PUNCT
ejpam-6505	79	35	(	(	PUNCT
ejpam-6505	79	36	3.8	3.8	NUM
ejpam-6505	79	37	)	)	PUNCT
ejpam-6505	79	38	µ̃∇2q⃗	µ̃∇2q⃗	NOUN
ejpam-6505	79	39	−	−	PROPN
ejpam-6505	79	40	µ	µ	PROPN
ejpam-6505	79	41	k	k	X
ejpam-6505	79	42	q⃗	q⃗	PROPN
ejpam-6505	79	43	=	=	SYM
ejpam-6505	79	44	∇p	∇p	PROPN
ejpam-6505	79	45	,	,	PUNCT
ejpam-6505	79	46	(	(	PUNCT
ejpam-6505	79	47	3.9	3.9	NUM
ejpam-6505	79	48	)	)	PUNCT
ejpam-6505	79	49	where	where	SCONJ
ejpam-6505	79	50	q⃗	q⃗	PROPN
ejpam-6505	79	51	is	be	AUX
ejpam-6505	79	52	the	the	DET
ejpam-6505	79	53	volume	volume	NOUN
ejpam-6505	79	54	-	-	PUNCT
ejpam-6505	79	55	averaged	average	VERB
ejpam-6505	79	56	fluid	fluid	ADJ
ejpam-6505	79	57	velocity	velocity	NOUN
ejpam-6505	79	58	vector	vector	NOUN
ejpam-6505	79	59	,	,	PUNCT
ejpam-6505	79	60	p	p	NOUN
ejpam-6505	79	61	denotes	denote	VERB
ejpam-6505	79	62	the	the	DET
ejpam-6505	79	63	pore	pore	ADV
ejpam-6505	79	64	-	-	PUNCT
ejpam-6505	79	65	averaged	average	VERB
ejpam-6505	79	66	pressure	pressure	NOUN
ejpam-6505	79	67	,	,	PUNCT
ejpam-6505	79	68	µ	µ	X
ejpam-6505	79	69	is	be	AUX
ejpam-6505	79	70	the	the	DET
ejpam-6505	79	71	dynamic	dynamic	ADJ
ejpam-6505	79	72	viscosity	viscosity	NOUN
ejpam-6505	79	73	of	of	ADP
ejpam-6505	79	74	the	the	DET
ejpam-6505	79	75	fluid	fluid	NOUN
ejpam-6505	79	76	,	,	PUNCT
ejpam-6505	79	77	and	and	CCONJ
ejpam-6505	79	78	k	k	PROPN
ejpam-6505	79	79	is	be	AUX
ejpam-6505	79	80	the	the	DET
ejpam-6505	79	81	permeability	permeability	NOUN
ejpam-6505	79	82	of	of	ADP
ejpam-6505	79	83	the	the	DET
ejpam-6505	79	84	porous	porous	ADJ
ejpam-6505	79	85	medium	medium	NOUN
ejpam-6505	79	86	.	.	PUNCT
ejpam-6505	80	1	the	the	DET
ejpam-6505	80	2	term	term	NOUN
ejpam-6505	80	3	µ̃	µ̃	PROPN
ejpam-6505	80	4	represents	represent	VERB
ejpam-6505	80	5	the	the	DET
ejpam-6505	80	6	effective	effective	ADJ
ejpam-6505	80	7	viscosity	viscosity	NOUN
ejpam-6505	80	8	,	,	PUNCT
ejpam-6505	80	9	which	which	PRON
ejpam-6505	80	10	accounts	account	VERB
ejpam-6505	80	11	for	for	ADP
ejpam-6505	80	12	both	both	CCONJ
ejpam-6505	80	13	the	the	DET
ejpam-6505	80	14	fluid	fluid	NOUN
ejpam-6505	80	15	and	and	CCONJ
ejpam-6505	80	16	the	the	DET
ejpam-6505	80	17	porous	porous	ADJ
ejpam-6505	80	18	matrix	matrix	NOUN
ejpam-6505	80	19	interactions	interaction	NOUN
ejpam-6505	80	20	.	.	PUNCT
ejpam-6505	81	1	these	these	DET
ejpam-6505	81	2	equations	equation	NOUN
ejpam-6505	81	3	model	model	VERB
ejpam-6505	81	4	the	the	DET
ejpam-6505	81	5	fluid	fluid	ADJ
ejpam-6505	81	6	dynamics	dynamic	NOUN
ejpam-6505	81	7	inside	inside	ADP
ejpam-6505	81	8	the	the	DET
ejpam-6505	81	9	porous	porous	ADJ
ejpam-6505	81	10	domain	domain	NOUN
ejpam-6505	81	11	,	,	PUNCT
ejpam-6505	81	12	where	where	SCONJ
ejpam-6505	81	13	the	the	DET
ejpam-6505	81	14	laplacian	laplacian	ADJ
ejpam-6505	81	15	term	term	NOUN
ejpam-6505	81	16	(	(	PUNCT
ejpam-6505	81	17	∇2q⃗	∇2q⃗	ADV
ejpam-6505	81	18	)	)	PUNCT
ejpam-6505	81	19	captures	capture	VERB
ejpam-6505	81	20	the	the	DET
ejpam-6505	81	21	internal	internal	ADJ
ejpam-6505	81	22	viscous	viscous	ADJ
ejpam-6505	81	23	stresses	stress	NOUN
ejpam-6505	81	24	,	,	PUNCT
ejpam-6505	81	25	and	and	CCONJ
ejpam-6505	81	26	the	the	DET
ejpam-6505	81	27	term	term	NOUN
ejpam-6505	81	28	(	(	PUNCT
ejpam-6505	81	29	µ	µ	NOUN
ejpam-6505	81	30	k	k	X
ejpam-6505	81	31	q⃗	q⃗	PROPN
ejpam-6505	81	32	)	)	PUNCT
ejpam-6505	81	33	models	model	VERB
ejpam-6505	81	34	the	the	DET
ejpam-6505	81	35	darcy	darcy	PROPN
ejpam-6505	81	36	drag	drag	PROPN
ejpam-6505	81	37	due	due	ADP
ejpam-6505	81	38	to	to	ADP
ejpam-6505	81	39	the	the	DET
ejpam-6505	81	40	porous	porous	ADJ
ejpam-6505	81	41	structure	structure	NOUN
ejpam-6505	81	42	.	.	PUNCT
ejpam-6505	82	1	the	the	DET
ejpam-6505	82	2	associated	associated	ADJ
ejpam-6505	82	3	stress	stress	NOUN
ejpam-6505	82	4	tensor	tensor	NOUN
ejpam-6505	82	5	π	π	PROPN
ejpam-6505	82	6	within	within	ADP
ejpam-6505	82	7	the	the	DET
ejpam-6505	82	8	brinkman	brinkman	NOUN
ejpam-6505	82	9	framework	framework	NOUN
ejpam-6505	82	10	is	be	AUX
ejpam-6505	82	11	formulated	formulate	VERB
ejpam-6505	82	12	as	as	ADP
ejpam-6505	82	13	:	:	PUNCT
ejpam-6505	82	14	π	π	NOUN
ejpam-6505	82	15	=	=	PUNCT
ejpam-6505	82	16	−pi	−pi	PROPN
ejpam-6505	82	17	+	+	NUM
ejpam-6505	82	18	2µ̃∆	2µ̃∆	NUM
ejpam-6505	82	19	,	,	PUNCT
ejpam-6505	82	20	(	(	PUNCT
ejpam-6505	82	21	3.10	3.10	NUM
ejpam-6505	82	22	)	)	PUNCT
ejpam-6505	82	23	where	where	SCONJ
ejpam-6505	82	24	i	i	PRON
ejpam-6505	82	25	is	be	AUX
ejpam-6505	82	26	the	the	DET
ejpam-6505	82	27	identity	identity	NOUN
ejpam-6505	82	28	tensor	tensor	NOUN
ejpam-6505	82	29	and	and	CCONJ
ejpam-6505	82	30	∆	∆	PROPN
ejpam-6505	82	31	is	be	AUX
ejpam-6505	82	32	the	the	DET
ejpam-6505	82	33	rate	rate	NOUN
ejpam-6505	82	34	-	-	PUNCT
ejpam-6505	82	35	of	of	ADP
ejpam-6505	82	36	-	-	PUNCT
ejpam-6505	82	37	strain	strain	NOUN
ejpam-6505	82	38	tensor	tensor	NOUN
ejpam-6505	82	39	given	give	VERB
ejpam-6505	82	40	by	by	ADP
ejpam-6505	82	41	:	:	PUNCT
ejpam-6505	82	42	∆	∆	PROPN
ejpam-6505	82	43	=	=	SYM
ejpam-6505	82	44	1	1	NUM
ejpam-6505	82	45	2	2	NUM
ejpam-6505	82	46	(	(	PUNCT
ejpam-6505	82	47	∇q⃗	∇q⃗	NOUN
ejpam-6505	82	48	+	+	CCONJ
ejpam-6505	82	49	(	(	PUNCT
ejpam-6505	82	50	∇q⃗)t	∇q⃗)t	NOUN
ejpam-6505	82	51	)	)	PUNCT
ejpam-6505	82	52	.	.	PUNCT
ejpam-6505	83	1	(	(	PUNCT
ejpam-6505	83	2	3.11	3.11	NUM
ejpam-6505	83	3	)	)	PUNCT
ejpam-6505	83	4	this	this	DET
ejpam-6505	83	5	formulation	formulation	NOUN
ejpam-6505	83	6	is	be	AUX
ejpam-6505	83	7	particularly	particularly	ADV
ejpam-6505	83	8	suitable	suitable	ADJ
ejpam-6505	83	9	for	for	ADP
ejpam-6505	83	10	modeling	model	VERB
ejpam-6505	83	11	flow	flow	NOUN
ejpam-6505	83	12	at	at	ADP
ejpam-6505	83	13	micro	micro	NOUN
ejpam-6505	83	14	-	-	NOUN
ejpam-6505	83	15	scales	scale	NOUN
ejpam-6505	83	16	,	,	PUNCT
ejpam-6505	83	17	such	such	ADJ
ejpam-6505	83	18	as	as	ADP
ejpam-6505	83	19	in	in	ADP
ejpam-6505	83	20	thermophoretic	thermophoretic	ADJ
ejpam-6505	83	21	or	or	CCONJ
ejpam-6505	83	22	thermocapillary	thermocapillary	ADJ
ejpam-6505	83	23	scenarios	scenario	NOUN
ejpam-6505	83	24	where	where	SCONJ
ejpam-6505	83	25	the	the	DET
ejpam-6505	83	26	transport	transport	NOUN
ejpam-6505	83	27	is	be	AUX
ejpam-6505	83	28	driven	drive	VERB
ejpam-6505	83	29	by	by	ADP
ejpam-6505	83	30	temperature	temperature	NOUN
ejpam-6505	83	31	gradients	gradient	NOUN
ejpam-6505	83	32	and	and	CCONJ
ejpam-6505	83	33	the	the	DET
ejpam-6505	83	34	effects	effect	NOUN
ejpam-6505	83	35	of	of	ADP
ejpam-6505	83	36	convective	convective	ADJ
ejpam-6505	83	37	inertia	inertia	NOUN
ejpam-6505	83	38	are	be	AUX
ejpam-6505	83	39	neglected	neglect	VERB
ejpam-6505	83	40	as	as	ADP
ejpam-6505	83	41	in	in	ADP
ejpam-6505	83	42	the	the	DET
ejpam-6505	83	43	current	current	ADJ
ejpam-6505	83	44	study	study	NOUN
ejpam-6505	83	45	.	.	PUNCT
ejpam-6505	84	1	let	let	VERB
ejpam-6505	84	2	u	u	PRON
ejpam-6505	84	3	a.	a.	PROPN
ejpam-6505	84	4	s.	s.	PROPN
ejpam-6505	84	5	aamer	aamer	PROPN
ejpam-6505	84	6	,	,	PUNCT
ejpam-6505	84	7	b.	b.	PROPN
ejpam-6505	84	8	a.	a.	PROPN
ejpam-6505	84	9	ahmed	ahmed	PROPN
ejpam-6505	84	10	,	,	PUNCT
ejpam-6505	84	11	s.	s.	PROPN
ejpam-6505	84	12	a.	a.	PROPN
ejpam-6505	84	13	mahrous	mahrous	PROPN
ejpam-6505	84	14	/	/	SYM
ejpam-6505	84	15	eur	eur	PROPN
ejpam-6505	84	16	.	.	PUNCT
ejpam-6505	85	1	j.	j.	PROPN
ejpam-6505	85	2	pure	pure	PROPN
ejpam-6505	85	3	appl	appl	PROPN
ejpam-6505	85	4	.	.	PROPN
ejpam-6505	85	5	math	math	PROPN
ejpam-6505	85	6	,	,	PUNCT
ejpam-6505	85	7	18	18	NUM
ejpam-6505	85	8	(	(	PUNCT
ejpam-6505	85	9	3	3	NUM
ejpam-6505	85	10	)	)	PUNCT
ejpam-6505	85	11	(	(	PUNCT
ejpam-6505	85	12	2025	2025	NUM
ejpam-6505	85	13	)	)	PUNCT
ejpam-6505	85	14	,	,	PUNCT
ejpam-6505	85	15	6505	6505	NUM
ejpam-6505	85	16	of	of	AUX
ejpam-6505	85	17	be	be	AUX
ejpam-6505	85	18	the	the	DET
ejpam-6505	85	19	thermocapillary	thermocapillary	ADJ
ejpam-6505	85	20	velocity	velocity	NOUN
ejpam-6505	85	21	of	of	ADP
ejpam-6505	85	22	the	the	DET
ejpam-6505	85	23	droplet	droplet	NOUN
ejpam-6505	85	24	in	in	ADP
ejpam-6505	85	25	the	the	DET
ejpam-6505	85	26	z−	z−	PROPN
ejpam-6505	85	27	direction	direction	NOUN
ejpam-6505	85	28	to	to	PART
ejpam-6505	85	29	be	be	AUX
ejpam-6505	85	30	determined	determine	VERB
ejpam-6505	85	31	.	.	PUNCT
ejpam-6505	86	1	the	the	DET
ejpam-6505	86	2	motion	motion	NOUN
ejpam-6505	86	3	is	be	AUX
ejpam-6505	86	4	axisymmetric	axisymmetric	ADJ
ejpam-6505	86	5	in	in	ADP
ejpam-6505	86	6	which	which	PRON
ejpam-6505	86	7	q⃗(r	q⃗(r	PROPN
ejpam-6505	86	8	,	,	PUNCT
ejpam-6505	86	9	θ	θ	NOUN
ejpam-6505	86	10	)	)	PUNCT
ejpam-6505	86	11	=	=	SYM
ejpam-6505	86	12	qre⃗r	qre⃗r	PROPN
ejpam-6505	86	13	+	+	CCONJ
ejpam-6505	86	14	qθe⃗θ	qθe⃗θ	PROPN
ejpam-6505	86	15	.	.	PUNCT
ejpam-6505	87	1	(	(	PUNCT
ejpam-6505	87	2	3.12	3.12	NUM
ejpam-6505	87	3	)	)	PUNCT
ejpam-6505	87	4	from	from	ADP
ejpam-6505	87	5	the	the	DET
ejpam-6505	87	6	incompressibility	incompressibility	NOUN
ejpam-6505	87	7	equation	equation	NOUN
ejpam-6505	87	8	(	(	PUNCT
ejpam-6505	87	9	3.8	3.8	NUM
ejpam-6505	87	10	)	)	PUNCT
ejpam-6505	87	11	,	,	PUNCT
ejpam-6505	87	12	accordingly	accordingly	ADV
ejpam-6505	87	13	we	we	PRON
ejpam-6505	87	14	obtain	obtain	VERB
ejpam-6505	87	15	the	the	DET
ejpam-6505	87	16	velocity	velocity	NOUN
ejpam-6505	87	17	components	component	NOUN
ejpam-6505	87	18	qr	qr	PROPN
ejpam-6505	87	19	and	and	CCONJ
ejpam-6505	87	20	qθ	qθ	PROPN
ejpam-6505	87	21	in	in	ADP
ejpam-6505	87	22	terms	term	NOUN
ejpam-6505	87	23	of	of	ADP
ejpam-6505	87	24	the	the	DET
ejpam-6505	87	25	stokes	stoke	NOUN
ejpam-6505	87	26	’	'	PUNCT
ejpam-6505	87	27	stream	stream	PROPN
ejpam-6505	87	28	function	function	NOUN
ejpam-6505	87	29	ψ	ψ	NOUN
ejpam-6505	87	30	,	,	PUNCT
ejpam-6505	87	31	as	as	ADP
ejpam-6505	87	32	qr	qr	PROPN
ejpam-6505	87	33	=	=	SYM
ejpam-6505	87	34	−	−	PROPN
ejpam-6505	87	35	1	1	NUM
ejpam-6505	87	36	r2	r2	PROPN
ejpam-6505	87	37	sin	sin	NOUN
ejpam-6505	88	1	θ	θ	PROPN
ejpam-6505	88	2	∂ψ	∂ψ	PUNCT
ejpam-6505	88	3	∂θ	∂θ	NOUN
ejpam-6505	88	4	,	,	PUNCT
ejpam-6505	88	5	qθ	qθ	NOUN
ejpam-6505	88	6	=	=	SYM
ejpam-6505	88	7	1	1	NUM
ejpam-6505	88	8	r	r	NOUN
ejpam-6505	88	9	sin	sin	NOUN
ejpam-6505	88	10	θ	θ	PROPN
ejpam-6505	88	11	∂ψ	∂ψ	PUNCT
ejpam-6505	89	1	∂r	∂r	INTJ
ejpam-6505	89	2	.	.	PUNCT
ejpam-6505	90	1	(	(	PUNCT
ejpam-6505	90	2	3.13	3.13	NUM
ejpam-6505	90	3	)	)	PUNCT
ejpam-6505	90	4	substituting	substitute	VERB
ejpam-6505	90	5	in	in	ADP
ejpam-6505	90	6	the	the	DET
ejpam-6505	90	7	field	field	NOUN
ejpam-6505	90	8	equation	equation	NOUN
ejpam-6505	90	9	(	(	PUNCT
ejpam-6505	90	10	3.9	3.9	NUM
ejpam-6505	90	11	)	)	PUNCT
ejpam-6505	90	12	,	,	PUNCT
ejpam-6505	90	13	we	we	PRON
ejpam-6505	90	14	obtain	obtain	VERB
ejpam-6505	90	15	an	an	DET
ejpam-6505	90	16	equation	equation	NOUN
ejpam-6505	90	17	satisfied	satisfy	VERB
ejpam-6505	90	18	by	by	ADP
ejpam-6505	90	19	the	the	DET
ejpam-6505	90	20	stream	stream	NOUN
ejpam-6505	90	21	function	function	NOUN
ejpam-6505	90	22	in	in	ADP
ejpam-6505	90	23	a	a	DET
ejpam-6505	90	24	dimensionless	dimensionless	NOUN
ejpam-6505	90	25	form	form	NOUN
ejpam-6505	90	26	as	as	ADP
ejpam-6505	90	27	:	:	PUNCT
ejpam-6505	90	28	e2	e2	PROPN
ejpam-6505	90	29	(	(	PUNCT
ejpam-6505	90	30	e2	e2	PROPN
ejpam-6505	90	31	−	−	PROPN
ejpam-6505	90	32	α2	α2	PROPN
ejpam-6505	90	33	)	)	PUNCT
ejpam-6505	90	34	ψ(p	ψ(p	PROPN
ejpam-6505	90	35	)	)	PUNCT
ejpam-6505	90	36	=	=	SYM
ejpam-6505	91	1	0	0	NUM
ejpam-6505	91	2	,	,	PUNCT
ejpam-6505	91	3	r	r	NOUN
ejpam-6505	91	4	>	>	X
ejpam-6505	91	5	1	1	NUM
ejpam-6505	91	6	,	,	PUNCT
ejpam-6505	91	7	(	(	PUNCT
ejpam-6505	91	8	3.14	3.14	NUM
ejpam-6505	91	9	)	)	PUNCT
ejpam-6505	91	10	where	where	SCONJ
ejpam-6505	91	11	,	,	PUNCT
ejpam-6505	91	12	e2	e2	PROPN
ejpam-6505	91	13	≡	≡	PROPN
ejpam-6505	91	14	∂2	∂2	PROPN
ejpam-6505	91	15	∂r2	∂r2	PROPN
ejpam-6505	91	16	+	+	CCONJ
ejpam-6505	91	17	1−	1−	NUM
ejpam-6505	91	18	ζ2	ζ2	NOUN
ejpam-6505	91	19	r2	r2	PROPN
ejpam-6505	91	20	∂2	∂2	PROPN
ejpam-6505	91	21	∂ζ2	∂ζ2	ADV
ejpam-6505	91	22	,	,	PUNCT
ejpam-6505	91	23	ζ	ζ	NOUN
ejpam-6505	91	24	=	=	SYM
ejpam-6505	91	25	cos	cos	PROPN
ejpam-6505	91	26	θ	θ	PROPN
ejpam-6505	91	27	,	,	PUNCT
ejpam-6505	91	28	α	α	NOUN
ejpam-6505	91	29	=	=	NOUN
ejpam-6505	91	30	√	√	NUM
ejpam-6505	91	31	µa2	µa2	NOUN
ejpam-6505	91	32	µ̃k	µ̃k	NOUN
ejpam-6505	91	33	.	.	PUNCT
ejpam-6505	92	1	the	the	DET
ejpam-6505	92	2	pressure	pressure	NOUN
ejpam-6505	92	3	within	within	ADP
ejpam-6505	92	4	the	the	DET
ejpam-6505	92	5	porous	porous	ADJ
ejpam-6505	92	6	medium	medium	NOUN
ejpam-6505	92	7	,	,	PUNCT
ejpam-6505	92	8	is	be	AUX
ejpam-6505	92	9	given	give	VERB
ejpam-6505	92	10	by	by	ADP
ejpam-6505	92	11	integrating	integrate	VERB
ejpam-6505	92	12	the	the	DET
ejpam-6505	92	13	following	follow	VERB
ejpam-6505	92	14	relations	relation	NOUN
ejpam-6505	92	15	∂p	∂p	PROPN
ejpam-6505	93	1	(	(	PUNCT
ejpam-6505	93	2	p	p	NOUN
ejpam-6505	93	3	)	)	PUNCT
ejpam-6505	93	4	∂r	∂r	PROPN
ejpam-6505	93	5	=	=	PUNCT
ejpam-6505	94	1	−	−	PROPN
ejpam-6505	95	1	µ̃	µ̃	PROPN
ejpam-6505	95	2	r2	r2	PROPN
ejpam-6505	95	3	sin	sin	NOUN
ejpam-6505	95	4	θ	θ	PROPN
ejpam-6505	95	5	∂	∂	PUNCT
ejpam-6505	96	1	∂θ	∂θ	PROPN
ejpam-6505	96	2	(	(	PUNCT
ejpam-6505	96	3	e2	e2	PROPN
ejpam-6505	96	4	−	−	PROPN
ejpam-6505	96	5	α2	α2	PROPN
ejpam-6505	96	6	)	)	PUNCT
ejpam-6505	96	7	ψ(p	ψ(p	PROPN
ejpam-6505	96	8	)	)	PUNCT
ejpam-6505	96	9	,	,	PUNCT
ejpam-6505	97	1	∂p	∂p	X
ejpam-6505	97	2	(	(	PUNCT
ejpam-6505	97	3	p	p	NOUN
ejpam-6505	97	4	)	)	PUNCT
ejpam-6505	97	5	∂θ	∂θ	NOUN
ejpam-6505	97	6	=	=	PUNCT
ejpam-6505	97	7	µ̃	µ̃	PROPN
ejpam-6505	97	8	sin	sin	VERB
ejpam-6505	97	9	θ	θ	PROPN
ejpam-6505	97	10	∂	∂	PUNCT
ejpam-6505	98	1	∂r	∂r	PROPN
ejpam-6505	98	2	(	(	PUNCT
ejpam-6505	98	3	e2	e2	PROPN
ejpam-6505	98	4	−	−	PROPN
ejpam-6505	98	5	α2	α2	PROPN
ejpam-6505	98	6	)	)	PUNCT
ejpam-6505	98	7	ψ(p	ψ(p	PROPN
ejpam-6505	98	8	)	)	PUNCT
ejpam-6505	98	9	.	.	PUNCT
ejpam-6505	99	1			PROPN
ejpam-6505	99	2	(	(	PUNCT
ejpam-6505	99	3	3.15	3.15	NUM
ejpam-6505	99	4	)	)	PUNCT
ejpam-6505	99	5	whereas	whereas	SCONJ
ejpam-6505	99	6	,	,	PUNCT
ejpam-6505	99	7	the	the	DET
ejpam-6505	99	8	vorticity	vorticity	NOUN
ejpam-6505	99	9	vector	vector	NOUN
ejpam-6505	99	10	is	be	AUX
ejpam-6505	99	11	given	give	VERB
ejpam-6505	99	12	by	by	ADP
ejpam-6505	99	13	:	:	PUNCT
ejpam-6505	99	14	ω⃗p	ω⃗p	NOUN
ejpam-6505	99	15	=	=	PUNCT
ejpam-6505	99	16	e⃗ϕ	e⃗ϕ	VERB
ejpam-6505	99	17	2r	2r	NUM
ejpam-6505	99	18	sin	sin	NOUN
ejpam-6505	99	19	θ	θ	NOUN
ejpam-6505	99	20	e2ψ(p	e2ψ(p	NOUN
ejpam-6505	99	21	)	)	PUNCT
ejpam-6505	99	22	.	.	PUNCT
ejpam-6505	100	1	(	(	PUNCT
ejpam-6505	100	2	3.16	3.16	NUM
ejpam-6505	100	3	)	)	PUNCT
ejpam-6505	100	4	now	now	ADV
ejpam-6505	100	5	,	,	PUNCT
ejpam-6505	100	6	inside	inside	ADP
ejpam-6505	100	7	the	the	DET
ejpam-6505	100	8	droplet	droplet	NOUN
ejpam-6505	100	9	,	,	PUNCT
ejpam-6505	100	10	given	give	VERB
ejpam-6505	100	11	the	the	DET
ejpam-6505	100	12	same	same	ADJ
ejpam-6505	100	13	conditions	condition	NOUN
ejpam-6505	100	14	applied	apply	VERB
ejpam-6505	100	15	as	as	ADP
ejpam-6505	100	16	the	the	DET
ejpam-6505	100	17	flow	flow	NOUN
ejpam-6505	100	18	inside	inside	ADP
ejpam-6505	100	19	the	the	DET
ejpam-6505	100	20	porous	porous	ADJ
ejpam-6505	100	21	medium	medium	NOUN
ejpam-6505	100	22	,	,	PUNCT
ejpam-6505	100	23	the	the	DET
ejpam-6505	100	24	governing	govern	VERB
ejpam-6505	100	25	equation	equation	NOUN
ejpam-6505	100	26	would	would	AUX
ejpam-6505	100	27	be	be	AUX
ejpam-6505	100	28	the	the	DET
ejpam-6505	100	29	simplified	simplified	ADJ
ejpam-6505	100	30	stokes	stoke	NOUN
ejpam-6505	100	31	equation	equation	NOUN
ejpam-6505	100	32	,	,	PUNCT
ejpam-6505	100	33	that	that	ADV
ejpam-6505	100	34	is	is	ADV
ejpam-6505	100	35	,	,	PUNCT
ejpam-6505	100	36	by	by	ADP
ejpam-6505	100	37	removing	remove	VERB
ejpam-6505	100	38	the	the	DET
ejpam-6505	100	39	darcy	darcy	NOUN
ejpam-6505	100	40	’s	’s	PART
ejpam-6505	100	41	term	term	NOUN
ejpam-6505	100	42	from	from	ADP
ejpam-6505	100	43	equation	equation	NOUN
ejpam-6505	100	44	(	(	PUNCT
ejpam-6505	100	45	3.9	3.9	NUM
ejpam-6505	100	46	)	)	PUNCT
ejpam-6505	100	47	.	.	PUNCT
ejpam-6505	101	1	similarly	similarly	ADV
ejpam-6505	101	2	,	,	PUNCT
ejpam-6505	101	3	by	by	ADP
ejpam-6505	101	4	incorporating	incorporate	VERB
ejpam-6505	101	5	the	the	DET
ejpam-6505	101	6	stream	stream	NOUN
ejpam-6505	101	7	function	function	NOUN
ejpam-6505	101	8	ψ(d	ψ(d	PROPN
ejpam-6505	101	9	)	)	PUNCT
ejpam-6505	101	10	,	,	PUNCT
ejpam-6505	101	11	the	the	DET
ejpam-6505	101	12	stokes	stoke	NOUN
ejpam-6505	101	13	equation	equation	NOUN
ejpam-6505	101	14	becomes	become	VERB
ejpam-6505	101	15	:	:	PUNCT
ejpam-6505	101	16	e4ψ(d	e4ψ(d	PROPN
ejpam-6505	101	17	)	)	PUNCT
ejpam-6505	101	18	=	=	SYM
ejpam-6505	102	1	0	0	NUM
ejpam-6505	102	2	,	,	PUNCT
ejpam-6505	102	3	r	r	NOUN
ejpam-6505	102	4	<	<	X
ejpam-6505	102	5	1	1	NUM
ejpam-6505	102	6	.	.	PUNCT
ejpam-6505	103	1	(	(	PUNCT
ejpam-6505	103	2	3.17	3.17	NUM
ejpam-6505	103	3	)	)	PUNCT
ejpam-6505	103	4	the	the	DET
ejpam-6505	103	5	porous	porous	ADJ
ejpam-6505	103	6	stream	stream	NOUN
ejpam-6505	103	7	function	function	NOUN
ejpam-6505	103	8	ψ(p	ψ(p	NOUN
ejpam-6505	103	9	)	)	PUNCT
ejpam-6505	103	10	can	can	AUX
ejpam-6505	103	11	be	be	AUX
ejpam-6505	103	12	defined	define	VERB
ejpam-6505	103	13	as	as	ADP
ejpam-6505	103	14	ψp	ψp	NOUN
ejpam-6505	103	15	=	=	SYM
ejpam-6505	103	16	ψ	ψ	X
ejpam-6505	103	17	(	(	PUNCT
ejpam-6505	103	18	p	p	NOUN
ejpam-6505	103	19	)	)	PUNCT
ejpam-6505	103	20	1	1	NUM
ejpam-6505	103	21	+	+	NUM
ejpam-6505	103	22	ψ	ψ	X
ejpam-6505	103	23	(	(	PUNCT
ejpam-6505	103	24	p	p	NOUN
ejpam-6505	103	25	)	)	PUNCT
ejpam-6505	103	26	2	2	NUM
ejpam-6505	103	27	,	,	PUNCT
ejpam-6505	103	28	where	where	SCONJ
ejpam-6505	103	29	e2ψ	e2ψ	PROPN
ejpam-6505	103	30	(	(	PUNCT
ejpam-6505	103	31	p	p	X
ejpam-6505	103	32	)	)	PUNCT
ejpam-6505	103	33	1	1	NUM
ejpam-6505	103	34	=	=	SYM
ejpam-6505	103	35	0	0	NUM
ejpam-6505	103	36	and	and	CCONJ
ejpam-6505	103	37	(	(	PUNCT
ejpam-6505	103	38	e2	e2	PROPN
ejpam-6505	103	39	−	−	PROPN
ejpam-6505	103	40	α2	α2	PROPN
ejpam-6505	103	41	)	)	PUNCT
ejpam-6505	103	42	ψ	ψ	X
ejpam-6505	103	43	(	(	PUNCT
ejpam-6505	103	44	p	p	NOUN
ejpam-6505	103	45	)	)	PUNCT
ejpam-6505	103	46	2	2	NUM
ejpam-6505	103	47	=	=	SYM
ejpam-6505	103	48	0	0	NUM
ejpam-6505	103	49	,	,	PUNCT
ejpam-6505	103	50	on	on	ADP
ejpam-6505	103	51	that	that	PRON
ejpam-6505	103	52	,	,	PUNCT
ejpam-6505	103	53	equations	equation	NOUN
ejpam-6505	103	54	(	(	PUNCT
ejpam-6505	103	55	3.15	3.15	NUM
ejpam-6505	103	56	)	)	PUNCT
ejpam-6505	103	57	and	and	CCONJ
ejpam-6505	103	58	(	(	PUNCT
ejpam-6505	103	59	3.16	3.16	NUM
ejpam-6505	103	60	)	)	PUNCT
ejpam-6505	103	61	become	become	VERB
ejpam-6505	103	62	∂p	∂p	ADJ
ejpam-6505	103	63	(	(	PUNCT
ejpam-6505	103	64	p	p	NOUN
ejpam-6505	103	65	)	)	PUNCT
ejpam-6505	103	66	∂r	∂r	PROPN
ejpam-6505	104	1	=	=	PUNCT
ejpam-6505	104	2	µ̃α2	µ̃α2	NOUN
ejpam-6505	104	3	r2	r2	NOUN
ejpam-6505	104	4	sin	sin	NOUN
ejpam-6505	104	5	θ	θ	PROPN
ejpam-6505	104	6	∂ψ	∂ψ	PROPN
ejpam-6505	105	1	(	(	PUNCT
ejpam-6505	105	2	p	p	NOUN
ejpam-6505	105	3	)	)	PUNCT
ejpam-6505	105	4	1	1	NUM
ejpam-6505	105	5	∂θ	∂θ	NOUN
ejpam-6505	105	6	,	,	PUNCT
ejpam-6505	105	7	∂p	∂p	INTJ
ejpam-6505	105	8	(	(	PUNCT
ejpam-6505	105	9	p	p	NOUN
ejpam-6505	105	10	)	)	PUNCT
ejpam-6505	105	11	∂θ	∂θ	NOUN
ejpam-6505	106	1	=	=	PUNCT
ejpam-6505	107	1	−	−	PROPN
ejpam-6505	107	2	µ̃α2	µ̃α2	NOUN
ejpam-6505	107	3	sin	sin	NOUN
ejpam-6505	107	4	θ	θ	PROPN
ejpam-6505	107	5	∂ψ	∂ψ	PROPN
ejpam-6505	107	6	(	(	PUNCT
ejpam-6505	107	7	p	p	NOUN
ejpam-6505	107	8	)	)	PUNCT
ejpam-6505	107	9	2	2	NUM
ejpam-6505	108	1	∂r	∂r	VERB
ejpam-6505	108	2	,	,	PUNCT
ejpam-6505	108	3	(	(	PUNCT
ejpam-6505	108	4	3.18	3.18	NUM
ejpam-6505	108	5	)	)	PUNCT
ejpam-6505	108	6	ω(p	ω(p	NOUN
ejpam-6505	108	7	)	)	PUNCT
ejpam-6505	108	8	=	=	SYM
ejpam-6505	108	9	α2ψ	α2ψ	PROPN
ejpam-6505	108	10	(	(	PUNCT
ejpam-6505	108	11	p	p	NOUN
ejpam-6505	108	12	)	)	PUNCT
ejpam-6505	108	13	2	2	NUM
ejpam-6505	108	14	2r	2r	NUM
ejpam-6505	108	15	sin	sin	NOUN
ejpam-6505	108	16	θ	θ	NOUN
ejpam-6505	108	17	.	.	PUNCT
ejpam-6505	109	1	(	(	PUNCT
ejpam-6505	109	2	3.19	3.19	NUM
ejpam-6505	109	3	)	)	PUNCT
ejpam-6505	109	4	a.	a.	NOUN
ejpam-6505	109	5	s.	s.	PROPN
ejpam-6505	109	6	aamer	aamer	PROPN
ejpam-6505	109	7	,	,	PUNCT
ejpam-6505	109	8	b.	b.	PROPN
ejpam-6505	109	9	a.	a.	PROPN
ejpam-6505	109	10	ahmed	ahmed	PROPN
ejpam-6505	109	11	,	,	PUNCT
ejpam-6505	109	12	s.	s.	PROPN
ejpam-6505	109	13	a.	a.	PROPN
ejpam-6505	109	14	mahrous	mahrous	PROPN
ejpam-6505	109	15	/	/	SYM
ejpam-6505	109	16	eur	eur	PROPN
ejpam-6505	109	17	.	.	PUNCT
ejpam-6505	110	1	j.	j.	PROPN
ejpam-6505	110	2	pure	pure	PROPN
ejpam-6505	110	3	appl	appl	PROPN
ejpam-6505	110	4	.	.	PROPN
ejpam-6505	110	5	math	math	PROPN
ejpam-6505	110	6	,	,	PUNCT
ejpam-6505	110	7	18	18	NUM
ejpam-6505	110	8	(	(	PUNCT
ejpam-6505	110	9	3	3	NUM
ejpam-6505	110	10	)	)	PUNCT
ejpam-6505	110	11	(	(	PUNCT
ejpam-6505	110	12	2025	2025	NUM
ejpam-6505	110	13	)	)	PUNCT
ejpam-6505	110	14	,	,	PUNCT
ejpam-6505	110	15	6505	6505	NUM
ejpam-6505	110	16	of	of	ADP
ejpam-6505	110	17	to	to	PART
ejpam-6505	110	18	complete	complete	VERB
ejpam-6505	110	19	the	the	DET
ejpam-6505	110	20	formulation	formulation	NOUN
ejpam-6505	110	21	of	of	ADP
ejpam-6505	110	22	the	the	DET
ejpam-6505	110	23	present	present	ADJ
ejpam-6505	110	24	problem	problem	NOUN
ejpam-6505	110	25	,	,	PUNCT
ejpam-6505	110	26	the	the	DET
ejpam-6505	110	27	boundary	boundary	ADJ
ejpam-6505	110	28	conditions	condition	NOUN
ejpam-6505	110	29	for	for	ADP
ejpam-6505	110	30	the	the	DET
ejpam-6505	110	31	fluid	fluid	ADJ
ejpam-6505	110	32	velocity	velocity	NOUN
ejpam-6505	110	33	components	component	NOUN
ejpam-6505	110	34	along	along	ADP
ejpam-6505	110	35	the	the	DET
ejpam-6505	110	36	droplet	droplet	ADJ
ejpam-6505	110	37	/	/	SYM
ejpam-6505	110	38	porous	porous	ADJ
ejpam-6505	110	39	interface	interface	NOUN
ejpam-6505	110	40	must	must	AUX
ejpam-6505	110	41	be	be	AUX
ejpam-6505	110	42	specified	specify	VERB
ejpam-6505	110	43	.	.	PUNCT
ejpam-6505	111	1	here	here	ADV
ejpam-6505	111	2	,	,	PUNCT
ejpam-6505	111	3	we	we	PRON
ejpam-6505	111	4	consider	consider	VERB
ejpam-6505	111	5	thermal	thermal	ADJ
ejpam-6505	111	6	capillarity	capillarity	NOUN
ejpam-6505	111	7	along	along	ADP
ejpam-6505	111	8	the	the	DET
ejpam-6505	111	9	surface	surface	NOUN
ejpam-6505	111	10	of	of	ADP
ejpam-6505	111	11	the	the	DET
ejpam-6505	111	12	interface	interface	NOUN
ejpam-6505	111	13	at	at	ADP
ejpam-6505	111	14	r	r	NOUN
ejpam-6505	111	15	=	=	SYM
ejpam-6505	111	16	1	1	NUM
ejpam-6505	111	17	:	:	PUNCT
ejpam-6505	111	18	q(p)r	q(p)r	PROPN
ejpam-6505	111	19	=	=	SYM
ejpam-6505	111	20	q(d)r	q(d)r	PROPN
ejpam-6505	111	21	,	,	PUNCT
ejpam-6505	111	22	(	(	PUNCT
ejpam-6505	111	23	3.20	3.20	NUM
ejpam-6505	111	24	)	)	PUNCT
ejpam-6505	111	25	q	q	NOUN
ejpam-6505	112	1	(	(	PUNCT
ejpam-6505	112	2	p	p	NOUN
ejpam-6505	112	3	)	)	PUNCT
ejpam-6505	112	4	θ	θ	PROPN
ejpam-6505	112	5	=	=	PUNCT
ejpam-6505	113	1	q	q	X
ejpam-6505	113	2	(	(	PUNCT
ejpam-6505	113	3	d	d	NOUN
ejpam-6505	113	4	)	)	PUNCT
ejpam-6505	113	5	θ	θ	NOUN
ejpam-6505	113	6	,	,	PUNCT
ejpam-6505	113	7	(	(	PUNCT
ejpam-6505	113	8	3.21	3.21	NUM
ejpam-6505	113	9	)	)	PUNCT
ejpam-6505	113	10	q(p)r	q(p)r	NOUN
ejpam-6505	113	11	=	=	SYM
ejpam-6505	113	12	u	u	PROPN
ejpam-6505	113	13	cos	cos	PROPN
ejpam-6505	113	14	θ	θ	PROPN
ejpam-6505	113	15	,	,	PUNCT
ejpam-6505	113	16	(	(	PUNCT
ejpam-6505	113	17	3.22	3.22	NUM
ejpam-6505	113	18	)	)	PUNCT
ejpam-6505	113	19	τ	τ	PROPN
ejpam-6505	113	20	(	(	PUNCT
ejpam-6505	113	21	p	p	NOUN
ejpam-6505	113	22	)	)	PUNCT
ejpam-6505	113	23	rθ	rθ	NOUN
ejpam-6505	113	24	−	−	PROPN
ejpam-6505	113	25	τ	τ	PROPN
ejpam-6505	113	26	(	(	PUNCT
ejpam-6505	113	27	d	d	NOUN
ejpam-6505	113	28	)	)	PUNCT
ejpam-6505	113	29	rθ	rθ	NOUN
ejpam-6505	113	30	=	=	SYM
ejpam-6505	113	31	−	−	PROPN
ejpam-6505	113	32	(	(	PUNCT
ejpam-6505	113	33	∂γ	∂γ	PROPN
ejpam-6505	113	34	∂t	∂t	PROPN
ejpam-6505	113	35	)	)	PUNCT
ejpam-6505	113	36	1	1	NUM
ejpam-6505	113	37	r	r	NOUN
ejpam-6505	113	38	∂tp	∂tp	PROPN
ejpam-6505	113	39	∂θ	∂θ	PROPN
ejpam-6505	113	40	,	,	PUNCT
ejpam-6505	113	41	(	(	PUNCT
ejpam-6505	113	42	3.23	3.23	NUM
ejpam-6505	113	43	)	)	PUNCT
ejpam-6505	113	44	as	as	ADP
ejpam-6505	113	45	r	r	NOUN
ejpam-6505	113	46	→	→	SYM
ejpam-6505	113	47	∞	∞	PROPN
ejpam-6505	113	48	,	,	PUNCT
ejpam-6505	113	49	ψ(p	ψ(p	PROPN
ejpam-6505	113	50	)	)	PUNCT
ejpam-6505	113	51	r2	r2	PROPN
ejpam-6505	113	52	→	→	SYM
ejpam-6505	113	53	0	0	NUM
ejpam-6505	113	54	,	,	PUNCT
ejpam-6505	113	55	(	(	PUNCT
ejpam-6505	113	56	3.24	3.24	NUM
ejpam-6505	113	57	)	)	PUNCT
ejpam-6505	113	58	where	where	SCONJ
ejpam-6505	113	59	γ	γ	PROPN
ejpam-6505	113	60	is	be	AUX
ejpam-6505	113	61	the	the	DET
ejpam-6505	113	62	surface	surface	NOUN
ejpam-6505	113	63	tension	tension	NOUN
ejpam-6505	113	64	.	.	PUNCT
ejpam-6505	114	1	the	the	DET
ejpam-6505	114	2	general	general	ADJ
ejpam-6505	114	3	solution	solution	NOUN
ejpam-6505	114	4	of	of	ADP
ejpam-6505	114	5	equation	equation	NOUN
ejpam-6505	114	6	(	(	PUNCT
ejpam-6505	114	7	3.17	3.17	NUM
ejpam-6505	114	8	)	)	PUNCT
ejpam-6505	114	9	,	,	PUNCT
ejpam-6505	114	10	that	that	PRON
ejpam-6505	114	11	is	be	AUX
ejpam-6505	114	12	bounded	bound	VERB
ejpam-6505	114	13	for	for	ADP
ejpam-6505	114	14	r	r	NOUN
ejpam-6505	114	15	→	→	SYM
ejpam-6505	114	16	0	0	NUM
ejpam-6505	114	17	,	,	PUNCT
ejpam-6505	114	18	is	be	AUX
ejpam-6505	114	19	given	give	VERB
ejpam-6505	114	20	by	by	ADP
ejpam-6505	114	21	:	:	PUNCT
ejpam-6505	114	22	ψ(d	ψ(d	NUM
ejpam-6505	114	23	)	)	PUNCT
ejpam-6505	115	1	=	=	PRON
ejpam-6505	115	2	(	(	PUNCT
ejpam-6505	115	3	a(d)r4	a(d)r4	PROPN
ejpam-6505	115	4	+	+	CCONJ
ejpam-6505	115	5	c(d)r2	c(d)r2	NOUN
ejpam-6505	115	6	)	)	PUNCT
ejpam-6505	115	7	sin2	sin2	PROPN
ejpam-6505	115	8	θ	θ	PROPN
ejpam-6505	115	9	.	.	PUNCT
ejpam-6505	116	1	(	(	PUNCT
ejpam-6505	116	2	3.25	3.25	NUM
ejpam-6505	116	3	)	)	PUNCT
ejpam-6505	116	4	also	also	ADV
ejpam-6505	116	5	,	,	PUNCT
ejpam-6505	116	6	the	the	DET
ejpam-6505	116	7	general	general	ADJ
ejpam-6505	116	8	solution	solution	NOUN
ejpam-6505	116	9	of	of	ADP
ejpam-6505	116	10	equation	equation	NOUN
ejpam-6505	116	11	(	(	PUNCT
ejpam-6505	116	12	3.14	3.14	NUM
ejpam-6505	116	13	)	)	PUNCT
ejpam-6505	116	14	,	,	PUNCT
ejpam-6505	116	15	that	that	PRON
ejpam-6505	116	16	satisfy	satisfy	VERB
ejpam-6505	116	17	condition	condition	NOUN
ejpam-6505	116	18	(	(	PUNCT
ejpam-6505	116	19	3.24	3.24	NUM
ejpam-6505	116	20	)	)	PUNCT
ejpam-6505	116	21	,	,	PUNCT
ejpam-6505	116	22	is	be	AUX
ejpam-6505	116	23	:	:	PUNCT
ejpam-6505	116	24	ψ(p	ψ(p	NOUN
ejpam-6505	116	25	)	)	PUNCT
ejpam-6505	116	26	=	=	SYM
ejpam-6505	116	27	(	(	PUNCT
ejpam-6505	116	28	a(p	a(p	NOUN
ejpam-6505	116	29	)	)	PUNCT
ejpam-6505	116	30	r	r	NOUN
ejpam-6505	116	31	+	+	PUNCT
ejpam-6505	116	32	b(p	b(p	X
ejpam-6505	116	33	)	)	PUNCT
ejpam-6505	116	34	(	(	PUNCT
ejpam-6505	116	35	1	1	NUM
ejpam-6505	116	36	r	r	NOUN
ejpam-6505	116	37	+	+	NOUN
ejpam-6505	116	38	α	α	NOUN
ejpam-6505	116	39	)	)	PUNCT
ejpam-6505	116	40	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	116	41	)	)	PUNCT
ejpam-6505	116	42	)	)	PUNCT
ejpam-6505	116	43	sin2	sin2	PROPN
ejpam-6505	116	44	θ	θ	PROPN
ejpam-6505	116	45	.	.	PUNCT
ejpam-6505	117	1	(	(	PUNCT
ejpam-6505	117	2	3.26	3.26	NUM
ejpam-6505	117	3	)	)	PUNCT
ejpam-6505	117	4	using	use	VERB
ejpam-6505	117	5	(	(	PUNCT
ejpam-6505	117	6	3.13	3.13	NUM
ejpam-6505	117	7	)	)	PUNCT
ejpam-6505	117	8	,	,	PUNCT
ejpam-6505	117	9	the	the	DET
ejpam-6505	117	10	components	component	NOUN
ejpam-6505	117	11	of	of	ADP
ejpam-6505	117	12	the	the	DET
ejpam-6505	117	13	velocities	velocity	NOUN
ejpam-6505	117	14	of	of	ADP
ejpam-6505	117	15	the	the	DET
ejpam-6505	117	16	flow	flow	NOUN
ejpam-6505	117	17	through	through	ADP
ejpam-6505	117	18	the	the	DET
ejpam-6505	117	19	porous	porous	ADJ
ejpam-6505	117	20	medium	medium	NOUN
ejpam-6505	117	21	and	and	CCONJ
ejpam-6505	117	22	inside	inside	ADP
ejpam-6505	117	23	the	the	DET
ejpam-6505	117	24	droplet	droplet	NOUN
ejpam-6505	117	25	are	be	AUX
ejpam-6505	117	26	stated	state	VERB
ejpam-6505	117	27	below	below	ADV
ejpam-6505	117	28	;	;	PUNCT
ejpam-6505	117	29	equation	equation	NOUN
ejpam-6505	117	30	(	(	PUNCT
ejpam-6505	117	31	3.13	3.13	NUM
ejpam-6505	117	32	)	)	PUNCT
ejpam-6505	117	33	and	and	CCONJ
ejpam-6505	117	34	equation	equation	NOUN
ejpam-6505	117	35	(	(	PUNCT
ejpam-6505	117	36	3.25	3.25	NUM
ejpam-6505	117	37	)	)	PUNCT
ejpam-6505	117	38	give	give	NOUN
ejpam-6505	117	39	,	,	PUNCT
ejpam-6505	117	40	q(d)r	q(d)r	PROPN
ejpam-6505	117	41	=	=	SYM
ejpam-6505	117	42	−2(a(d)r2	−2(a(d)r2	PROPN
ejpam-6505	117	43	+	+	CCONJ
ejpam-6505	117	44	c(d	c(d	PROPN
ejpam-6505	117	45	)	)	PUNCT
ejpam-6505	117	46	)	)	PUNCT
ejpam-6505	118	1	cos	cos	PROPN
ejpam-6505	118	2	θ	θ	PROPN
ejpam-6505	118	3	,	,	PUNCT
ejpam-6505	118	4	(	(	PUNCT
ejpam-6505	118	5	3.27	3.27	NUM
ejpam-6505	118	6	)	)	PUNCT
ejpam-6505	118	7	q	q	NOUN
ejpam-6505	118	8	(	(	PUNCT
ejpam-6505	118	9	d	d	NOUN
ejpam-6505	118	10	)	)	PUNCT
ejpam-6505	118	11	θ	θ	NOUN
ejpam-6505	118	12	=	=	PUNCT
ejpam-6505	118	13	(	(	PUNCT
ejpam-6505	118	14	4a(d)r2	4a(d)r2	NOUN
ejpam-6505	118	15	+	+	CCONJ
ejpam-6505	118	16	2c(d	2c(d	NUM
ejpam-6505	118	17	)	)	PUNCT
ejpam-6505	118	18	)	)	PUNCT
ejpam-6505	118	19	sin	sin	NOUN
ejpam-6505	118	20	θ	θ	PROPN
ejpam-6505	118	21	.	.	PUNCT
ejpam-6505	119	1	(	(	PUNCT
ejpam-6505	119	2	3.28	3.28	NUM
ejpam-6505	119	3	)	)	PUNCT
ejpam-6505	119	4	equation	equation	NOUN
ejpam-6505	119	5	(	(	PUNCT
ejpam-6505	119	6	3.13	3.13	NUM
ejpam-6505	119	7	)	)	PUNCT
ejpam-6505	119	8	with	with	ADP
ejpam-6505	119	9	(	(	PUNCT
ejpam-6505	119	10	3.26	3.26	NUM
ejpam-6505	119	11	)	)	PUNCT
ejpam-6505	119	12	give	give	NOUN
ejpam-6505	119	13	,	,	PUNCT
ejpam-6505	119	14	q(p)r	q(p)r	NOUN
ejpam-6505	119	15	=	=	SYM
ejpam-6505	119	16	−2	−2	NOUN
ejpam-6505	119	17	(	(	PUNCT
ejpam-6505	119	18	a(p	a(p	NOUN
ejpam-6505	119	19	)	)	PUNCT
ejpam-6505	119	20	r	r	NOUN
ejpam-6505	119	21	+	+	PUNCT
ejpam-6505	119	22	b(p	b(p	X
ejpam-6505	119	23	)	)	PUNCT
ejpam-6505	119	24	(	(	PUNCT
ejpam-6505	119	25	1	1	NUM
ejpam-6505	119	26	r3	r3	PROPN
ejpam-6505	119	27	+	+	CCONJ
ejpam-6505	119	28	α	α	NOUN
ejpam-6505	119	29	r2	r2	PROPN
ejpam-6505	119	30	)	)	PUNCT
ejpam-6505	119	31	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	119	32	)	)	PUNCT
ejpam-6505	119	33	)	)	PUNCT
ejpam-6505	120	1	cos	cos	PROPN
ejpam-6505	120	2	θ	θ	PROPN
ejpam-6505	120	3	,	,	PUNCT
ejpam-6505	120	4	(	(	PUNCT
ejpam-6505	120	5	3.29	3.29	NUM
ejpam-6505	120	6	)	)	PUNCT
ejpam-6505	120	7	q	q	NOUN
ejpam-6505	120	8	(	(	PUNCT
ejpam-6505	120	9	p	p	NOUN
ejpam-6505	120	10	)	)	PUNCT
ejpam-6505	120	11	θ	θ	PROPN
ejpam-6505	120	12	=	=	SYM
ejpam-6505	121	1	−	−	PROPN
ejpam-6505	121	2	(	(	PUNCT
ejpam-6505	121	3	a(p	a(p	NOUN
ejpam-6505	121	4	)	)	PUNCT
ejpam-6505	121	5	r3	r3	PROPN
ejpam-6505	121	6	+	+	NOUN
ejpam-6505	121	7	b(p	b(p	PROPN
ejpam-6505	121	8	)	)	PUNCT
ejpam-6505	121	9	(	(	PUNCT
ejpam-6505	121	10	1	1	NUM
ejpam-6505	121	11	r3	r3	PROPN
ejpam-6505	121	12	+	+	CCONJ
ejpam-6505	121	13	α	α	NOUN
ejpam-6505	121	14	r2	r2	NOUN
ejpam-6505	121	15	+	+	CCONJ
ejpam-6505	121	16	α2	α2	ADJ
ejpam-6505	121	17	r	r	NOUN
ejpam-6505	121	18	)	)	PUNCT
ejpam-6505	121	19	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	121	20	)	)	PUNCT
ejpam-6505	121	21	)	)	PUNCT
ejpam-6505	122	1	sin	sin	NOUN
ejpam-6505	122	2	θ	θ	PROPN
ejpam-6505	122	3	.	.	PUNCT
ejpam-6505	123	1	(	(	PUNCT
ejpam-6505	123	2	3.30	3.30	NUM
ejpam-6505	123	3	)	)	PUNCT
ejpam-6505	123	4	the	the	DET
ejpam-6505	123	5	shear	shear	NOUN
ejpam-6505	123	6	stress	stress	NOUN
ejpam-6505	123	7	expression	expression	NOUN
ejpam-6505	123	8	in	in	ADP
ejpam-6505	123	9	terms	term	NOUN
ejpam-6505	123	10	of	of	ADP
ejpam-6505	123	11	the	the	DET
ejpam-6505	123	12	velocity	velocity	NOUN
ejpam-6505	123	13	components	component	NOUN
ejpam-6505	123	14	,	,	PUNCT
ejpam-6505	123	15	is	be	AUX
ejpam-6505	123	16	given	give	VERB
ejpam-6505	123	17	by	by	ADP
ejpam-6505	123	18	:	:	PUNCT
ejpam-6505	123	19	τrθ	τrθ	PROPN
ejpam-6505	123	20	=	=	SYM
ejpam-6505	123	21	µ	µ	X
ejpam-6505	123	22	[	[	PUNCT
ejpam-6505	123	23	1	1	NUM
ejpam-6505	123	24	r	r	NOUN
ejpam-6505	123	25	∂qr	∂qr	NOUN
ejpam-6505	123	26	∂θ	∂θ	NOUN
ejpam-6505	123	27	−	−	NOUN
ejpam-6505	123	28	qθ	qθ	NOUN
ejpam-6505	123	29	r	r	NOUN
ejpam-6505	123	30	+	+	CCONJ
ejpam-6505	123	31	∂qθ	∂qθ	PROPN
ejpam-6505	123	32	∂r	∂r	PROPN
ejpam-6505	123	33	]	]	PUNCT
ejpam-6505	123	34	,	,	PUNCT
ejpam-6505	123	35	for	for	ADP
ejpam-6505	123	36	the	the	DET
ejpam-6505	123	37	fluid	fluid	ADJ
ejpam-6505	123	38	droplet	droplet	NOUN
ejpam-6505	123	39	:	:	PUNCT
ejpam-6505	123	40	τ	τ	PROPN
ejpam-6505	123	41	(	(	PUNCT
ejpam-6505	123	42	d	d	X
ejpam-6505	123	43	)	)	PUNCT
ejpam-6505	123	44	rθ	rθ	NOUN
ejpam-6505	123	45	=	=	PUNCT
ejpam-6505	123	46	µ[6a(d)r	µ[6a(d)r	X
ejpam-6505	123	47	sin	sin	VERB
ejpam-6505	123	48	θ	θ	PROPN
ejpam-6505	123	49	]	]	X
ejpam-6505	123	50	,	,	PUNCT
ejpam-6505	123	51	(	(	PUNCT
ejpam-6505	123	52	3.31	3.31	NUM
ejpam-6505	123	53	)	)	PUNCT
ejpam-6505	123	54	a.	a.	NOUN
ejpam-6505	123	55	s.	s.	PROPN
ejpam-6505	123	56	aamer	aamer	PROPN
ejpam-6505	123	57	,	,	PUNCT
ejpam-6505	123	58	b.	b.	PROPN
ejpam-6505	123	59	a.	a.	PROPN
ejpam-6505	123	60	ahmed	ahmed	PROPN
ejpam-6505	123	61	,	,	PUNCT
ejpam-6505	123	62	s.	s.	PROPN
ejpam-6505	123	63	a.	a.	PROPN
ejpam-6505	123	64	mahrous	mahrous	PROPN
ejpam-6505	123	65	/	/	SYM
ejpam-6505	123	66	eur	eur	PROPN
ejpam-6505	123	67	.	.	PUNCT
ejpam-6505	124	1	j.	j.	PROPN
ejpam-6505	124	2	pure	pure	PROPN
ejpam-6505	124	3	appl	appl	PROPN
ejpam-6505	124	4	.	.	PROPN
ejpam-6505	124	5	math	math	PROPN
ejpam-6505	124	6	,	,	PUNCT
ejpam-6505	124	7	18	18	NUM
ejpam-6505	124	8	(	(	PUNCT
ejpam-6505	124	9	3	3	NUM
ejpam-6505	124	10	)	)	PUNCT
ejpam-6505	124	11	(	(	PUNCT
ejpam-6505	124	12	2025	2025	NUM
ejpam-6505	124	13	)	)	PUNCT
ejpam-6505	124	14	,	,	PUNCT
ejpam-6505	124	15	6505	6505	NUM
ejpam-6505	124	16	of	of	ADP
ejpam-6505	124	17	and	and	CCONJ
ejpam-6505	124	18	for	for	ADP
ejpam-6505	124	19	the	the	DET
ejpam-6505	124	20	porous	porous	ADJ
ejpam-6505	124	21	medium	medium	NOUN
ejpam-6505	124	22	:	:	PUNCT
ejpam-6505	124	23	τ	τ	PROPN
ejpam-6505	124	24	(	(	PUNCT
ejpam-6505	124	25	p	p	NOUN
ejpam-6505	124	26	)	)	PUNCT
ejpam-6505	124	27	rθ	rθ	NOUN
ejpam-6505	124	28	=	=	PUNCT
ejpam-6505	125	1	µ̃	µ̃	PROPN
ejpam-6505	125	2	[	[	X
ejpam-6505	125	3	(	(	PUNCT
ejpam-6505	125	4	6a(p	6a(p	ADJ
ejpam-6505	125	5	)	)	PUNCT
ejpam-6505	125	6	r4	r4	VERB
ejpam-6505	125	7	+	+	NOUN
ejpam-6505	125	8	b(p	b(p	PROPN
ejpam-6505	125	9	)	)	PUNCT
ejpam-6505	125	10	(	(	PUNCT
ejpam-6505	125	11	6	6	NUM
ejpam-6505	125	12	r4	r4	NOUN
ejpam-6505	125	13	+	+	CCONJ
ejpam-6505	125	14	6α	6α	NUM
ejpam-6505	125	15	r3	r3	NOUN
ejpam-6505	125	16	+	+	CCONJ
ejpam-6505	125	17	3α2	3α2	NUM
ejpam-6505	125	18	r2	r2	NOUN
ejpam-6505	125	19	+	+	CCONJ
ejpam-6505	125	20	α3	α3	ADJ
ejpam-6505	125	21	r	r	NOUN
ejpam-6505	125	22	)	)	PUNCT
ejpam-6505	125	23	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	125	24	)	)	PUNCT
ejpam-6505	125	25	)	)	PUNCT
ejpam-6505	125	26	sin	sin	VERB
ejpam-6505	125	27	θ	θ	NOUN
ejpam-6505	125	28	]	]	PUNCT
ejpam-6505	125	29	.	.	PUNCT
ejpam-6505	126	1	(	(	PUNCT
ejpam-6505	126	2	3.32	3.32	NUM
ejpam-6505	126	3	)	)	PUNCT
ejpam-6505	126	4	we	we	PRON
ejpam-6505	126	5	have	have	VERB
ejpam-6505	126	6	also	also	ADV
ejpam-6505	126	7	,	,	PUNCT
ejpam-6505	126	8	1	1	NUM
ejpam-6505	126	9	r	r	NOUN
ejpam-6505	126	10	∂tp	∂tp	PROPN
ejpam-6505	126	11	∂θ	∂θ	PROPN
ejpam-6505	127	1	=	=	PUNCT
ejpam-6505	128	1	−	−	PROPN
ejpam-6505	128	2	3e∞	3e∞	NUM
ejpam-6505	128	3	2	2	NUM
ejpam-6505	128	4	+	+	CCONJ
ejpam-6505	128	5	k	k	X
ejpam-6505	128	6	.	.	PUNCT
ejpam-6505	129	1	(	(	PUNCT
ejpam-6505	129	2	3.33	3.33	NUM
ejpam-6505	129	3	)	)	PUNCT
ejpam-6505	129	4	applying	apply	VERB
ejpam-6505	129	5	the	the	DET
ejpam-6505	129	6	boundary	boundary	ADJ
ejpam-6505	129	7	conditions	condition	NOUN
ejpam-6505	129	8	(	(	PUNCT
ejpam-6505	129	9	3.20)-(3.23	3.20)-(3.23	NUM
ejpam-6505	129	10	)	)	PUNCT
ejpam-6505	129	11	,	,	PUNCT
ejpam-6505	129	12	we	we	PRON
ejpam-6505	129	13	obtain	obtain	VERB
ejpam-6505	129	14	the	the	DET
ejpam-6505	129	15	following	follow	VERB
ejpam-6505	129	16	set	set	NOUN
ejpam-6505	129	17	of	of	ADP
ejpam-6505	129	18	simultaneous	simultaneous	ADJ
ejpam-6505	129	19	equations	equation	NOUN
ejpam-6505	129	20	for	for	ADP
ejpam-6505	129	21	determining	determine	VERB
ejpam-6505	129	22	the	the	DET
ejpam-6505	129	23	unknown	unknown	ADJ
ejpam-6505	129	24	constants	constant	NOUN
ejpam-6505	129	25	:	:	PUNCT
ejpam-6505	129	26	a(d	a(d	NOUN
ejpam-6505	129	27	)	)	PUNCT
ejpam-6505	129	28	−a(p	−a(p	NOUN
ejpam-6505	129	29	)	)	PUNCT
ejpam-6505	129	30	+	+	NUM
ejpam-6505	129	31	c(d	c(d	PROPN
ejpam-6505	129	32	)	)	PUNCT
ejpam-6505	129	33	−	−	PROPN
ejpam-6505	130	1	(	(	PUNCT
ejpam-6505	130	2	1	1	NUM
ejpam-6505	130	3	+	+	NUM
ejpam-6505	130	4	α)b(d	α)b(d	NUM
ejpam-6505	130	5	)	)	PUNCT
ejpam-6505	130	6	=	=	SYM
ejpam-6505	130	7	0	0	NUM
ejpam-6505	130	8	,	,	PUNCT
ejpam-6505	130	9	(	(	PUNCT
ejpam-6505	130	10	3.34	3.34	NUM
ejpam-6505	130	11	)	)	PUNCT
ejpam-6505	130	12	4a(d	4a(d	NOUN
ejpam-6505	130	13	)	)	PUNCT
ejpam-6505	131	1	+	+	NOUN
ejpam-6505	131	2	a(p	a(p	NOUN
ejpam-6505	131	3	)	)	PUNCT
ejpam-6505	131	4	+	+	CCONJ
ejpam-6505	131	5	2c(d	2c(d	NUM
ejpam-6505	131	6	)	)	PUNCT
ejpam-6505	132	1	+	+	CCONJ
ejpam-6505	132	2	(	(	PUNCT
ejpam-6505	132	3	1	1	NUM
ejpam-6505	132	4	+	+	CCONJ
ejpam-6505	132	5	α+	α+	PRON
ejpam-6505	132	6	α2)b(p	α2)b(p	NUM
ejpam-6505	132	7	)	)	PUNCT
ejpam-6505	132	8	=	=	SYM
ejpam-6505	132	9	0	0	NUM
ejpam-6505	132	10	,	,	PUNCT
ejpam-6505	132	11	(	(	PUNCT
ejpam-6505	132	12	3.35	3.35	NUM
ejpam-6505	132	13	)	)	PUNCT
ejpam-6505	132	14	a(p	a(p	NOUN
ejpam-6505	132	15	)	)	PUNCT
ejpam-6505	133	1	+	+	ADP
ejpam-6505	133	2	b(p)(1	b(p)(1	PROPN
ejpam-6505	133	3	+	+	CCONJ
ejpam-6505	133	4	α	α	X
ejpam-6505	133	5	)	)	PUNCT
ejpam-6505	133	6	=	=	SYM
ejpam-6505	133	7	−u	−u	PROPN
ejpam-6505	133	8	2	2	NUM
ejpam-6505	133	9	,	,	PUNCT
ejpam-6505	133	10	(	(	PUNCT
ejpam-6505	133	11	3.36	3.36	NUM
ejpam-6505	133	12	)	)	PUNCT
ejpam-6505	133	13	and	and	CCONJ
ejpam-6505	133	14	µ̃	µ̃	PROPN
ejpam-6505	133	15	[	[	X
ejpam-6505	133	16	(	(	PUNCT
ejpam-6505	133	17	6a(p	6a(p	ADJ
ejpam-6505	133	18	)	)	PUNCT
ejpam-6505	133	19	r4	r4	VERB
ejpam-6505	133	20	+	+	NOUN
ejpam-6505	133	21	b(p	b(p	PROPN
ejpam-6505	133	22	)	)	PUNCT
ejpam-6505	133	23	(	(	PUNCT
ejpam-6505	133	24	6	6	NUM
ejpam-6505	133	25	r4	r4	NOUN
ejpam-6505	133	26	+	+	CCONJ
ejpam-6505	133	27	6α	6α	NUM
ejpam-6505	133	28	r3	r3	NOUN
ejpam-6505	133	29	+	+	CCONJ
ejpam-6505	133	30	3α2	3α2	NUM
ejpam-6505	133	31	r2	r2	NOUN
ejpam-6505	133	32	+	+	CCONJ
ejpam-6505	133	33	α3	α3	ADJ
ejpam-6505	133	34	r	r	NOUN
ejpam-6505	133	35	)	)	PUNCT
ejpam-6505	133	36	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	133	37	)	)	PUNCT
ejpam-6505	133	38	)	)	PUNCT
ejpam-6505	134	1	sin	sin	VERB
ejpam-6505	134	2	θ	θ	NOUN
ejpam-6505	134	3	]	]	PUNCT
ejpam-6505	134	4	−	−	PROPN
ejpam-6505	134	5	µ[6a(d)r	µ[6a(d)r	X
ejpam-6505	134	6	sin	sin	VERB
ejpam-6505	134	7	θ	θ	X
ejpam-6505	134	8	]	]	X
ejpam-6505	134	9	=	=	SYM
ejpam-6505	134	10	−	−	PROPN
ejpam-6505	134	11	(	(	PUNCT
ejpam-6505	134	12	∂γ	∂γ	PROPN
ejpam-6505	134	13	∂td	∂td	PROPN
ejpam-6505	134	14	)	)	PUNCT
ejpam-6505	135	1	(	(	PUNCT
ejpam-6505	135	2	−3e∞	−3e∞	NOUN
ejpam-6505	135	3	2	2	NUM
ejpam-6505	135	4	+	+	CCONJ
ejpam-6505	135	5	k	k	X
ejpam-6505	135	6	sin	sin	NOUN
ejpam-6505	135	7	θ	θ	PROPN
ejpam-6505	135	8	)	)	PUNCT
ejpam-6505	135	9	,	,	PUNCT
ejpam-6505	135	10	by	by	ADP
ejpam-6505	135	11	simplifying	simplify	VERB
ejpam-6505	135	12	the	the	DET
ejpam-6505	135	13	above	above	ADJ
ejpam-6505	135	14	equation	equation	NOUN
ejpam-6505	135	15	,	,	PUNCT
ejpam-6505	135	16	it	it	PRON
ejpam-6505	135	17	becomes	become	VERB
ejpam-6505	135	18	:	:	PUNCT
ejpam-6505	135	19	6a(p	6a(p	NUM
ejpam-6505	135	20	)	)	PUNCT
ejpam-6505	136	1	+	+	CCONJ
ejpam-6505	136	2	(	(	PUNCT
ejpam-6505	136	3	6	6	NUM
ejpam-6505	136	4	+	+	SYM
ejpam-6505	136	5	6α+	6α+	NUM
ejpam-6505	136	6	3α2	3α2	NUM
ejpam-6505	136	7	+	+	CCONJ
ejpam-6505	136	8	α3)b(p	α3)b(p	NOUN
ejpam-6505	136	9	)	)	PUNCT
ejpam-6505	136	10	−	−	PROPN
ejpam-6505	136	11	6σa(d	6σa(d	NOUN
ejpam-6505	136	12	)	)	PUNCT
ejpam-6505	136	13	=	=	SYM
ejpam-6505	136	14	3u	3u	X
ejpam-6505	136	15	(	(	PUNCT
ejpam-6505	136	16	0	0	NUM
ejpam-6505	136	17	)	)	PUNCT
ejpam-6505	136	18	2	2	NUM
ejpam-6505	137	1	+	+	CCONJ
ejpam-6505	137	2	k	k	NOUN
ejpam-6505	137	3	,	,	PUNCT
ejpam-6505	137	4	(	(	PUNCT
ejpam-6505	137	5	3.37	3.37	NUM
ejpam-6505	137	6	)	)	PUNCT
ejpam-6505	137	7	where	where	SCONJ
ejpam-6505	137	8	,	,	PUNCT
ejpam-6505	137	9	σ	σ	PROPN
ejpam-6505	137	10	=	=	SYM
ejpam-6505	137	11	µ/µ̃	µ/µ̃	PROPN
ejpam-6505	137	12	,	,	PUNCT
ejpam-6505	137	13	and	and	CCONJ
ejpam-6505	137	14	characteristic	characteristic	ADJ
ejpam-6505	137	15	velocity	velocity	NOUN
ejpam-6505	137	16	u	u	NOUN
ejpam-6505	137	17	(	(	PUNCT
ejpam-6505	137	18	0	0	NUM
ejpam-6505	137	19	)	)	PUNCT
ejpam-6505	137	20	=	=	VERB
ejpam-6505	137	21	βe∞/µ̃	βe∞/µ̃	NOUN
ejpam-6505	137	22	,	,	PUNCT
ejpam-6505	137	23	β	β	X
ejpam-6505	137	24	is	be	AUX
ejpam-6505	137	25	the	the	DET
ejpam-6505	137	26	constant	constant	ADJ
ejpam-6505	137	27	(	(	PUNCT
ejpam-6505	137	28	−∂γ/∂td	−∂γ/∂td	PROPN
ejpam-6505	137	29	)	)	PUNCT
ejpam-6505	137	30	.	.	PUNCT
ejpam-6505	138	1	solving	solve	VERB
ejpam-6505	138	2	the	the	DET
ejpam-6505	138	3	above	above	ADJ
ejpam-6505	138	4	system	system	NOUN
ejpam-6505	138	5	we	we	PRON
ejpam-6505	138	6	obtain	obtain	VERB
ejpam-6505	138	7	,	,	PUNCT
ejpam-6505	138	8	a(p	a(p	NOUN
ejpam-6505	138	9	)	)	PUNCT
ejpam-6505	138	10	=	=	SYM
ejpam-6505	139	1	−	−	PROPN
ejpam-6505	139	2	(	(	PUNCT
ejpam-6505	139	3	u	u	NOUN
ejpam-6505	139	4	3(2	3(2	NUM
ejpam-6505	139	5	+	+	SYM
ejpam-6505	139	6	3σ)(1	3σ)(1	NUM
ejpam-6505	139	7	+	+	SYM
ejpam-6505	139	8	α	α	X
ejpam-6505	139	9	)	)	PUNCT
ejpam-6505	139	10	+	+	CCONJ
ejpam-6505	139	11	3(1	3(1	NUM
ejpam-6505	140	1	+	+	CCONJ
ejpam-6505	140	2	σ)α2	σ)α2	PROPN
ejpam-6505	140	3	+	+	CCONJ
ejpam-6505	140	4	α3	α3	NOUN
ejpam-6505	140	5	2	2	NUM
ejpam-6505	140	6	(	(	PUNCT
ejpam-6505	140	7	3(1	3(1	NUM
ejpam-6505	140	8	+	+	CCONJ
ejpam-6505	140	9	σ)α2	σ)α2	PROPN
ejpam-6505	140	10	+	+	CCONJ
ejpam-6505	140	11	α3	α3	NOUN
ejpam-6505	140	12	)	)	PUNCT
ejpam-6505	140	13	+	+	CCONJ
ejpam-6505	140	14	u	u	SYM
ejpam-6505	140	15	(	(	PUNCT
ejpam-6505	140	16	0	0	NUM
ejpam-6505	140	17	)	)	PUNCT
ejpam-6505	140	18	6(1	6(1	NOUN
ejpam-6505	141	1	+	+	CCONJ
ejpam-6505	141	2	α	α	X
ejpam-6505	141	3	)	)	PUNCT
ejpam-6505	141	4	(	(	PUNCT
ejpam-6505	141	5	2	2	NUM
ejpam-6505	141	6	+	+	CCONJ
ejpam-6505	141	7	k	k	NOUN
ejpam-6505	141	8	)	)	PUNCT
ejpam-6505	141	9	(	(	PUNCT
ejpam-6505	141	10	3(1	3(1	NUM
ejpam-6505	141	11	+	+	CCONJ
ejpam-6505	141	12	σ)α2	σ)α2	PROPN
ejpam-6505	141	13	+	+	CCONJ
ejpam-6505	141	14	α3	α3	NOUN
ejpam-6505	141	15	)	)	PUNCT
ejpam-6505	141	16	)	)	PUNCT
ejpam-6505	141	17	,	,	PUNCT
ejpam-6505	141	18	(	(	PUNCT
ejpam-6505	141	19	3.38	3.38	NUM
ejpam-6505	141	20	)	)	PUNCT
ejpam-6505	141	21	b(p	b(p	NOUN
ejpam-6505	141	22	)	)	PUNCT
ejpam-6505	142	1	=	=	SYM
ejpam-6505	142	2	3	3	NUM
ejpam-6505	142	3	2u	2u	NOUN
ejpam-6505	142	4	(	(	PUNCT
ejpam-6505	142	5	3k	3k	X
ejpam-6505	142	6	+	+	CCONJ
ejpam-6505	142	7	6)σ	6)σ	NUM
ejpam-6505	142	8	+	+	CCONJ
ejpam-6505	142	9	2k	2k	NUM
ejpam-6505	142	10	+	+	CCONJ
ejpam-6505	142	11	4	4	NUM
ejpam-6505	142	12	γ1	γ1	NOUN
ejpam-6505	142	13	+	+	CCONJ
ejpam-6505	142	14	u	u	NOUN
ejpam-6505	142	15	(	(	PUNCT
ejpam-6505	142	16	0	0	NUM
ejpam-6505	142	17	)	)	PUNCT
ejpam-6505	142	18	3	3	NUM
ejpam-6505	142	19	γ1	γ1	NOUN
ejpam-6505	142	20	,	,	PUNCT
ejpam-6505	142	21	(	(	PUNCT
ejpam-6505	142	22	3.39	3.39	NUM
ejpam-6505	142	23	)	)	PUNCT
ejpam-6505	142	24	a(d	a(d	NOUN
ejpam-6505	142	25	)	)	PUNCT
ejpam-6505	142	26	=	=	SYM
ejpam-6505	142	27	3	3	NUM
ejpam-6505	142	28	4u	4u	NOUN
ejpam-6505	142	29	(	(	PUNCT
ejpam-6505	142	30	(	(	PUNCT
ejpam-6505	142	31	1	1	NUM
ejpam-6505	142	32	+	+	NUM
ejpam-6505	142	33	α)k	α)k	NOUN
ejpam-6505	143	1	+	+	CCONJ
ejpam-6505	143	2	2α+	2α+	NUM
ejpam-6505	143	3	2	2	NUM
ejpam-6505	143	4	)	)	PUNCT
ejpam-6505	143	5	γ2	γ2	NOUN
ejpam-6505	143	6	−	−	PROPN
ejpam-6505	143	7	u	u	NOUN
ejpam-6505	143	8	(	(	PUNCT
ejpam-6505	143	9	0	0	NUM
ejpam-6505	143	10	)	)	PUNCT
ejpam-6505	143	11	3/2	3/2	NUM
ejpam-6505	143	12	γ2	γ2	NOUN
ejpam-6505	143	13	,	,	PUNCT
ejpam-6505	143	14	(	(	PUNCT
ejpam-6505	143	15	3.40	3.40	NUM
ejpam-6505	143	16	)	)	PUNCT
ejpam-6505	143	17	c(d	c(d	PROPN
ejpam-6505	143	18	)	)	PUNCT
ejpam-6505	143	19	=	=	SYM
ejpam-6505	143	20	−1	−1	NOUN
ejpam-6505	143	21	4u	4u	NOUN
ejpam-6505	143	22	(	(	PUNCT
ejpam-6505	143	23	6k	6k	NOUN
ejpam-6505	143	24	+	+	NOUN
ejpam-6505	143	25	12)σ	12)σ	NUM
ejpam-6505	143	26	+	+	CCONJ
ejpam-6505	143	27	(	(	PUNCT
ejpam-6505	143	28	5α+	5α+	NUM
ejpam-6505	143	29	9)k	9)k	NUM
ejpam-6505	143	30	+	+	CCONJ
ejpam-6505	143	31	10α+	10α+	NUM
ejpam-6505	143	32	18	18	NUM
ejpam-6505	143	33	γ2	γ2	NOUN
ejpam-6505	143	34	+	+	CCONJ
ejpam-6505	143	35	u	u	NOUN
ejpam-6505	143	36	(	(	PUNCT
ejpam-6505	143	37	0	0	NUM
ejpam-6505	143	38	)	)	PUNCT
ejpam-6505	143	39	3/2	3/2	NUM
ejpam-6505	143	40	γ2	γ2	NOUN
ejpam-6505	143	41	,	,	PUNCT
ejpam-6505	143	42	(	(	PUNCT
ejpam-6505	143	43	3.41	3.41	NUM
ejpam-6505	143	44	)	)	PUNCT
ejpam-6505	143	45	where	where	SCONJ
ejpam-6505	143	46	,	,	PUNCT
ejpam-6505	143	47	γ1	γ1	PROPN
ejpam-6505	143	48	=	=	SYM
ejpam-6505	143	49	α2	α2	PROPN
ejpam-6505	143	50	(	(	PUNCT
ejpam-6505	143	51	(	(	PUNCT
ejpam-6505	143	52	3k	3k	X
ejpam-6505	143	53	+	+	CCONJ
ejpam-6505	143	54	6)σ	6)σ	NUM
ejpam-6505	143	55	+	+	CCONJ
ejpam-6505	143	56	(	(	PUNCT
ejpam-6505	143	57	α+	α+	INTJ
ejpam-6505	143	58	3)k	3)k	NUM
ejpam-6505	143	59	+	+	CCONJ
ejpam-6505	143	60	2α+	2α+	NUM
ejpam-6505	143	61	6	6	NUM
ejpam-6505	143	62	)	)	PUNCT
ejpam-6505	143	63	,	,	PUNCT
ejpam-6505	143	64	and	and	CCONJ
ejpam-6505	143	65	γ2	γ2	NOUN
ejpam-6505	143	66	=	=	SYM
ejpam-6505	143	67	(	(	PUNCT
ejpam-6505	143	68	3k	3k	X
ejpam-6505	143	69	+	+	CCONJ
ejpam-6505	143	70	6)σ	6)σ	NUM
ejpam-6505	143	71	+	+	CCONJ
ejpam-6505	143	72	(	(	PUNCT
ejpam-6505	143	73	α+	α+	INTJ
ejpam-6505	143	74	3)k	3)k	NUM
ejpam-6505	143	75	+	+	CCONJ
ejpam-6505	143	76	2α+	2α+	NUM
ejpam-6505	143	77	6	6	NUM
ejpam-6505	143	78	.	.	PUNCT
ejpam-6505	143	79	a.	a.	PROPN
ejpam-6505	143	80	s.	s.	PROPN
ejpam-6505	143	81	aamer	aamer	PROPN
ejpam-6505	143	82	,	,	PUNCT
ejpam-6505	143	83	b.	b.	PROPN
ejpam-6505	143	84	a.	a.	PROPN
ejpam-6505	143	85	ahmed	ahmed	PROPN
ejpam-6505	143	86	,	,	PUNCT
ejpam-6505	143	87	s.	s.	PROPN
ejpam-6505	143	88	a.	a.	PROPN
ejpam-6505	143	89	mahrous	mahrous	PROPN
ejpam-6505	143	90	/	/	SYM
ejpam-6505	143	91	eur	eur	PROPN
ejpam-6505	143	92	.	.	PUNCT
ejpam-6505	144	1	j.	j.	PROPN
ejpam-6505	144	2	pure	pure	PROPN
ejpam-6505	144	3	appl	appl	PROPN
ejpam-6505	144	4	.	.	PROPN
ejpam-6505	144	5	math	math	PROPN
ejpam-6505	144	6	,	,	PUNCT
ejpam-6505	144	7	18	18	NUM
ejpam-6505	144	8	(	(	PUNCT
ejpam-6505	144	9	3	3	NUM
ejpam-6505	144	10	)	)	PUNCT
ejpam-6505	144	11	(	(	PUNCT
ejpam-6505	144	12	2025	2025	NUM
ejpam-6505	144	13	)	)	PUNCT
ejpam-6505	144	14	,	,	PUNCT
ejpam-6505	144	15	6505	6505	NUM
ejpam-6505	144	16	of	of	ADP
ejpam-6505	144	17	3.3	3.3	NUM
ejpam-6505	144	18	.	.	PUNCT
ejpam-6505	145	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	145	2	velocity	velocity	NOUN
ejpam-6505	145	3	of	of	ADP
ejpam-6505	145	4	the	the	DET
ejpam-6505	145	5	droplet	droplet	ADJ
ejpam-6505	145	6	the	the	DET
ejpam-6505	145	7	formula	formula	NOUN
ejpam-6505	145	8	for	for	ADP
ejpam-6505	145	9	the	the	DET
ejpam-6505	145	10	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	145	11	drag	drag	NOUN
ejpam-6505	145	12	force	force	NOUN
ejpam-6505	145	13	exerted	exert	VERB
ejpam-6505	145	14	by	by	ADP
ejpam-6505	145	15	the	the	DET
ejpam-6505	145	16	porous	porous	ADJ
ejpam-6505	145	17	medium	medium	NOUN
ejpam-6505	145	18	on	on	ADP
ejpam-6505	145	19	an	an	DET
ejpam-6505	145	20	axially	axially	ADV
ejpam-6505	145	21	symmetric	symmetric	ADJ
ejpam-6505	145	22	droplet	droplet	NOUN
ejpam-6505	145	23	has	have	VERB
ejpam-6505	145	24	the	the	DET
ejpam-6505	145	25	form	form	NOUN
ejpam-6505	145	26	f	f	NOUN
ejpam-6505	145	27	=	=	PUNCT
ejpam-6505	145	28	µ̃α2	µ̃α2	PROPN
ejpam-6505	145	29	(	(	PUNCT
ejpam-6505	145	30	uvp	uvp	ADJ
ejpam-6505	145	31	+	+	CCONJ
ejpam-6505	145	32	4π	4π	NUM
ejpam-6505	145	33	lim	lim	PROPN
ejpam-6505	145	34	r→∞	r→∞	NUM
ejpam-6505	145	35	rψ(p	rψ(p	PROPN
ejpam-6505	145	36	)	)	PUNCT
ejpam-6505	145	37	sin2	sin2	NOUN
ejpam-6505	145	38	θ	θ	PROPN
ejpam-6505	145	39	)	)	PUNCT
ejpam-6505	145	40	,	,	PUNCT
ejpam-6505	145	41	(	(	PUNCT
ejpam-6505	145	42	3.42	3.42	NUM
ejpam-6505	145	43	)	)	PUNCT
ejpam-6505	145	44	where	where	SCONJ
ejpam-6505	145	45	vd	vd	NOUN
ejpam-6505	145	46	is	be	AUX
ejpam-6505	145	47	the	the	DET
ejpam-6505	145	48	volume	volume	NOUN
ejpam-6505	145	49	of	of	ADP
ejpam-6505	145	50	the	the	DET
ejpam-6505	145	51	droplet	droplet	NOUN
ejpam-6505	145	52	.	.	PUNCT
ejpam-6505	146	1	the	the	DET
ejpam-6505	146	2	expression	expression	NOUN
ejpam-6505	146	3	(	(	PUNCT
ejpam-6505	146	4	3.42	3.42	NUM
ejpam-6505	146	5	)	)	PUNCT
ejpam-6505	146	6	can	can	AUX
ejpam-6505	146	7	be	be	AUX
ejpam-6505	146	8	derived	derive	VERB
ejpam-6505	146	9	in	in	ADP
ejpam-6505	146	10	the	the	DET
ejpam-6505	146	11	same	same	ADJ
ejpam-6505	146	12	manner	manner	NOUN
ejpam-6505	146	13	as	as	ADP
ejpam-6505	146	14	that	that	PRON
ejpam-6505	146	15	obtained	obtain	VERB
ejpam-6505	146	16	by	by	ADP
ejpam-6505	146	17	lawrence	lawrence	NOUN
ejpam-6505	146	18	and	and	CCONJ
ejpam-6505	146	19	weinbaum	weinbaum	PROPN
ejpam-6505	146	20	[	[	X
ejpam-6505	146	21	31	31	NUM
ejpam-6505	146	22	]	]	PUNCT
ejpam-6505	146	23	for	for	ADP
ejpam-6505	146	24	the	the	DET
ejpam-6505	146	25	axisymmetric	axisymmetric	ADJ
ejpam-6505	146	26	motion	motion	NOUN
ejpam-6505	146	27	of	of	ADP
ejpam-6505	146	28	an	an	DET
ejpam-6505	146	29	oscillating	oscillate	VERB
ejpam-6505	146	30	body	body	NOUN
ejpam-6505	146	31	in	in	ADP
ejpam-6505	146	32	a	a	DET
ejpam-6505	146	33	viscous	viscous	ADJ
ejpam-6505	146	34	fluid	fluid	NOUN
ejpam-6505	146	35	.	.	PUNCT
ejpam-6505	147	1	inserting	insert	VERB
ejpam-6505	147	2	the	the	DET
ejpam-6505	147	3	expression	expression	NOUN
ejpam-6505	147	4	(	(	PUNCT
ejpam-6505	147	5	3.26	3.26	NUM
ejpam-6505	147	6	)	)	PUNCT
ejpam-6505	147	7	for	for	ADP
ejpam-6505	147	8	the	the	DET
ejpam-6505	147	9	stream	stream	NOUN
ejpam-6505	147	10	function	function	NOUN
ejpam-6505	147	11	into	into	ADP
ejpam-6505	147	12	(	(	PUNCT
ejpam-6505	147	13	3.42	3.42	NUM
ejpam-6505	147	14	)	)	PUNCT
ejpam-6505	147	15	we	we	PRON
ejpam-6505	147	16	obtain	obtain	VERB
ejpam-6505	147	17	f	f	NOUN
ejpam-6505	147	18	=	=	SYM
ejpam-6505	147	19	4	4	NUM
ejpam-6505	147	20	3πµ̃α	3πµ̃α	NUM
ejpam-6505	147	21	2(u	2(u	NUM
ejpam-6505	147	22	+	+	CCONJ
ejpam-6505	147	23	3a(p	3a(p	NUM
ejpam-6505	147	24	)	)	PUNCT
ejpam-6505	147	25	)	)	PUNCT
ejpam-6505	147	26	.	.	PUNCT
ejpam-6505	148	1	(	(	PUNCT
ejpam-6505	148	2	3.43	3.43	NUM
ejpam-6505	148	3	)	)	PUNCT
ejpam-6505	148	4	since	since	SCONJ
ejpam-6505	148	5	the	the	DET
ejpam-6505	148	6	droplet	droplet	NOUN
ejpam-6505	148	7	is	be	AUX
ejpam-6505	148	8	freely	freely	ADV
ejpam-6505	148	9	suspended	suspend	VERB
ejpam-6505	148	10	in	in	ADP
ejpam-6505	148	11	the	the	DET
ejpam-6505	148	12	porous	porous	ADJ
ejpam-6505	148	13	medium	medium	NOUN
ejpam-6505	148	14	,	,	PUNCT
ejpam-6505	148	15	this	this	DET
ejpam-6505	148	16	force	force	NOUN
ejpam-6505	148	17	must	must	AUX
ejpam-6505	148	18	vanish	vanish	VERB
ejpam-6505	148	19	and	and	CCONJ
ejpam-6505	148	20	equation	equation	NOUN
ejpam-6505	148	21	(	(	PUNCT
ejpam-6505	148	22	3.43	3.43	NUM
ejpam-6505	148	23	)	)	PUNCT
ejpam-6505	148	24	leads	lead	VERB
ejpam-6505	148	25	to	to	ADP
ejpam-6505	148	26	u	u	NOUN
ejpam-6505	148	27	+	+	CCONJ
ejpam-6505	148	28	3a(p	3a(p	NUM
ejpam-6505	148	29	)	)	PUNCT
ejpam-6505	149	1	=	=	SYM
ejpam-6505	149	2	0	0	NUM
ejpam-6505	149	3	,	,	PUNCT
ejpam-6505	149	4	that	that	PRON
ejpam-6505	149	5	gives	give	VERB
ejpam-6505	149	6	the	the	DET
ejpam-6505	149	7	thermocapillary	thermocapillary	ADJ
ejpam-6505	149	8	velocity	velocity	NOUN
ejpam-6505	149	9	of	of	ADP
ejpam-6505	149	10	the	the	DET
ejpam-6505	149	11	spherical	spherical	ADJ
ejpam-6505	149	12	droplet	droplet	NOUN
ejpam-6505	149	13	in	in	ADP
ejpam-6505	149	14	the	the	DET
ejpam-6505	149	15	porous	porous	ADJ
ejpam-6505	149	16	medium	medium	NOUN
ejpam-6505	149	17	as	as	ADP
ejpam-6505	149	18	ut	ut	PROPN
ejpam-6505	149	19	=	=	PUNCT
ejpam-6505	149	20	18(α+	18(α+	NUM
ejpam-6505	149	21	1	1	NUM
ejpam-6505	149	22	)	)	PUNCT
ejpam-6505	149	23	(	(	PUNCT
ejpam-6505	149	24	2	2	NUM
ejpam-6505	149	25	+	+	CCONJ
ejpam-6505	149	26	k	k	NOUN
ejpam-6505	149	27	)	)	PUNCT
ejpam-6505	149	28	(	(	PUNCT
ejpam-6505	149	29	9(2	9(2	NUM
ejpam-6505	149	30	+	+	NUM
ejpam-6505	149	31	3σ)(1	3σ)(1	NUM
ejpam-6505	149	32	+	+	SYM
ejpam-6505	149	33	α	α	X
ejpam-6505	149	34	)	)	PUNCT
ejpam-6505	149	35	+	+	CCONJ
ejpam-6505	149	36	3(1	3(1	NUM
ejpam-6505	149	37	+	+	CCONJ
ejpam-6505	149	38	σ)α2	σ)α2	PROPN
ejpam-6505	149	39	+	+	CCONJ
ejpam-6505	149	40	α3	α3	ADJ
ejpam-6505	149	41	)	)	PUNCT
ejpam-6505	149	42	u	u	NOUN
ejpam-6505	149	43	(	(	PUNCT
ejpam-6505	149	44	0	0	NUM
ejpam-6505	149	45	)	)	PUNCT
ejpam-6505	149	46	.	.	PUNCT
ejpam-6505	150	1	(	(	PUNCT
ejpam-6505	150	2	3.44	3.44	NUM
ejpam-6505	150	3	)	)	PUNCT
ejpam-6505	150	4	the	the	DET
ejpam-6505	150	5	normalized	normalize	VERB
ejpam-6505	150	6	thermocapillary	thermocapillary	ADJ
ejpam-6505	150	7	velocity	velocity	NOUN
ejpam-6505	150	8	is	be	AUX
ejpam-6505	150	9	therefore	therefore	ADV
ejpam-6505	150	10	u∗	u∗	ADJ
ejpam-6505	150	11	t	t	NOUN
ejpam-6505	150	12	=	=	SYM
ejpam-6505	150	13	ut	ut	PROPN
ejpam-6505	150	14	u	u	PROPN
ejpam-6505	150	15	(	(	PUNCT
ejpam-6505	150	16	0	0	NUM
ejpam-6505	150	17	)	)	PUNCT
ejpam-6505	150	18	=	=	PUNCT
ejpam-6505	150	19	18(α+	18(α+	NUM
ejpam-6505	150	20	1	1	NUM
ejpam-6505	150	21	)	)	PUNCT
ejpam-6505	150	22	(	(	PUNCT
ejpam-6505	150	23	2	2	NUM
ejpam-6505	150	24	+	+	CCONJ
ejpam-6505	150	25	k	k	NOUN
ejpam-6505	150	26	)	)	PUNCT
ejpam-6505	150	27	(	(	PUNCT
ejpam-6505	150	28	9(2	9(2	NUM
ejpam-6505	150	29	+	+	NUM
ejpam-6505	150	30	3σ)(1	3σ)(1	NUM
ejpam-6505	150	31	+	+	SYM
ejpam-6505	150	32	α	α	X
ejpam-6505	150	33	)	)	PUNCT
ejpam-6505	150	34	+	+	CCONJ
ejpam-6505	150	35	3(1	3(1	NUM
ejpam-6505	151	1	+	+	CCONJ
ejpam-6505	151	2	σ)α2	σ)α2	PROPN
ejpam-6505	151	3	+	+	CCONJ
ejpam-6505	151	4	α3	α3	NOUN
ejpam-6505	151	5	)	)	PUNCT
ejpam-6505	151	6	.	.	PUNCT
ejpam-6505	152	1	(	(	PUNCT
ejpam-6505	152	2	3.45	3.45	NUM
ejpam-6505	152	3	)	)	PUNCT
ejpam-6505	152	4	for	for	ADP
ejpam-6505	152	5	a	a	DET
ejpam-6505	152	6	clear	clear	ADJ
ejpam-6505	152	7	fluid	fluid	NOUN
ejpam-6505	152	8	,	,	PUNCT
ejpam-6505	152	9	i.e.	i.e.	X
ejpam-6505	152	10	(	(	PUNCT
ejpam-6505	152	11	α	α	NOUN
ejpam-6505	152	12	=	=	NOUN
ejpam-6505	152	13	0	0	NUM
ejpam-6505	152	14	)	)	PUNCT
ejpam-6505	152	15	,	,	PUNCT
ejpam-6505	152	16	we	we	PRON
ejpam-6505	152	17	have	have	VERB
ejpam-6505	152	18	:	:	PUNCT
ejpam-6505	152	19	u0	u0	VERB
ejpam-6505	152	20	=	=	PROPN
ejpam-6505	152	21	2u	2u	PROPN
ejpam-6505	152	22	(	(	PUNCT
ejpam-6505	152	23	0	0	NUM
ejpam-6505	152	24	)	)	PUNCT
ejpam-6505	152	25	(	(	PUNCT
ejpam-6505	152	26	2	2	NUM
ejpam-6505	152	27	+	+	NUM
ejpam-6505	152	28	k)(2	k)(2	X
ejpam-6505	152	29	+	+	X
ejpam-6505	152	30	3σ	3σ	NUM
ejpam-6505	152	31	)	)	PUNCT
ejpam-6505	152	32	.	.	PUNCT
ejpam-6505	153	1	(	(	PUNCT
ejpam-6505	153	2	3.46	3.46	NUM
ejpam-6505	153	3	)	)	PUNCT
ejpam-6505	153	4	this	this	PRON
ejpam-6505	153	5	recovers	recover	VERB
ejpam-6505	153	6	the	the	DET
ejpam-6505	153	7	result	result	NOUN
ejpam-6505	153	8	of	of	ADP
ejpam-6505	153	9	luzhang	luzhang	PROPN
ejpam-6505	153	10	et	et	PROPN
ejpam-6505	153	11	al	al	PROPN
ejpam-6505	153	12	.	.	PUNCT
ejpam-6505	154	1	[	[	X
ejpam-6505	154	2	1	1	NUM
ejpam-6505	154	3	]	]	PUNCT
ejpam-6505	154	4	.	.	PUNCT
ejpam-6505	155	1	knowing	know	VERB
ejpam-6505	155	2	the	the	DET
ejpam-6505	155	3	thermocapillary	thermocapillary	ADJ
ejpam-6505	155	4	velocity	velocity	NOUN
ejpam-6505	155	5	ut	ut	PROPN
ejpam-6505	155	6	from	from	ADP
ejpam-6505	155	7	equation	equation	NOUN
ejpam-6505	155	8	(	(	PUNCT
ejpam-6505	155	9	3.44	3.44	NUM
ejpam-6505	155	10	)	)	PUNCT
ejpam-6505	155	11	into	into	ADP
ejpam-6505	155	12	equation	equation	NOUN
ejpam-6505	155	13	(	(	PUNCT
ejpam-6505	155	14	3.26	3.26	NUM
ejpam-6505	155	15	)	)	PUNCT
ejpam-6505	155	16	,	,	PUNCT
ejpam-6505	155	17	the	the	DET
ejpam-6505	155	18	porous	porous	ADJ
ejpam-6505	155	19	stream	stream	NOUN
ejpam-6505	155	20	function	function	NOUN
ejpam-6505	155	21	ψ(p	ψ(p	NOUN
ejpam-6505	155	22	)	)	PUNCT
ejpam-6505	155	23	would	would	AUX
ejpam-6505	155	24	be	be	AUX
ejpam-6505	155	25	:	:	PUNCT
ejpam-6505	155	26	ψ(p	ψ(p	NOUN
ejpam-6505	155	27	)	)	PUNCT
ejpam-6505	156	1	=	=	SYM
ejpam-6505	156	2	−	−	X
ejpam-6505	157	1	[	[	X
ejpam-6505	157	2	(	(	PUNCT
ejpam-6505	157	3	12(1	12(1	NOUN
ejpam-6505	157	4	+	+	CCONJ
ejpam-6505	157	5	α)−	α)−	VERB
ejpam-6505	157	6	6(1	6(1	NUM
ejpam-6505	157	7	+	+	CCONJ
ejpam-6505	157	8	αr)eα(1−r	αr)eα(1−r	ADJ
ejpam-6505	157	9	)	)	PUNCT
ejpam-6505	157	10	)	)	PUNCT
ejpam-6505	157	11	u	u	NOUN
ejpam-6505	157	12	(	(	PUNCT
ejpam-6505	157	13	0	0	NUM
ejpam-6505	157	14	)	)	PUNCT
ejpam-6505	158	1	+	+	CCONJ
ejpam-6505	158	2	(	(	PUNCT
ejpam-6505	158	3	(	(	PUNCT
ejpam-6505	158	4	2	2	NUM
ejpam-6505	158	5	+	+	NUM
ejpam-6505	158	6	k)(6	k)(6	X
ejpam-6505	158	7	+	+	X
ejpam-6505	158	8	9σ	9σ	NOUN
ejpam-6505	159	1	+	+	CCONJ
ejpam-6505	159	2	α(6	α(6	PROPN
ejpam-6505	159	3	+	+	NUM
ejpam-6505	159	4	9σ	9σ	NOUN
ejpam-6505	159	5	+	+	CCONJ
ejpam-6505	159	6	α(3	α(3	PROPN
ejpam-6505	159	7	+	+	NOUN
ejpam-6505	159	8	3α+	3α+	NUM
ejpam-6505	159	9	3σ)))−	3σ)))−	NUM
ejpam-6505	159	10	3(2	3(2	NUM
ejpam-6505	159	11	+	+	CCONJ
ejpam-6505	159	12	k)(1	k)(1	X
ejpam-6505	160	1	+	+	CCONJ
ejpam-6505	160	2	αr)(2	αr)(2	PRON
ejpam-6505	160	3	+	+	NUM
ejpam-6505	160	4	3σ)eα(1−r	3σ)eα(1−r	NUM
ejpam-6505	160	5	)	)	PUNCT
ejpam-6505	160	6	)	)	PUNCT
ejpam-6505	161	1	u	u	NOUN
ejpam-6505	161	2	]	]	PUNCT
ejpam-6505	161	3	sin2	sin2	NOUN
ejpam-6505	161	4	θ	θ	PROPN
ejpam-6505	161	5	δ1	δ1	NOUN
ejpam-6505	161	6	,	,	PUNCT
ejpam-6505	161	7	(	(	PUNCT
ejpam-6505	161	8	3.47	3.47	NUM
ejpam-6505	161	9	)	)	PUNCT
ejpam-6505	161	10	δ1	δ1	NOUN
ejpam-6505	161	11	=	=	SYM
ejpam-6505	161	12	2(2	2(2	PROPN
ejpam-6505	162	1	+	+	NUM
ejpam-6505	162	2	k)rα2(3	k)rα2(3	NOUN
ejpam-6505	162	3	+	+	CCONJ
ejpam-6505	162	4	α+	α+	X
ejpam-6505	162	5	3σ	3σ	NUM
ejpam-6505	162	6	)	)	PUNCT
ejpam-6505	162	7	.	.	PUNCT
ejpam-6505	163	1	also	also	ADV
ejpam-6505	163	2	,	,	PUNCT
ejpam-6505	163	3	the	the	DET
ejpam-6505	163	4	vorticity	vorticity	NOUN
ejpam-6505	163	5	in	in	ADP
ejpam-6505	163	6	equation	equation	NOUN
ejpam-6505	163	7	(	(	PUNCT
ejpam-6505	163	8	3.19	3.19	NUM
ejpam-6505	163	9	)	)	PUNCT
ejpam-6505	163	10	becomes	become	VERB
ejpam-6505	163	11	:	:	PUNCT
ejpam-6505	163	12	ω(p	ω(p	NOUN
ejpam-6505	163	13	)	)	PUNCT
ejpam-6505	164	1	=	=	PRON
ejpam-6505	164	2	−	−	X
ejpam-6505	165	1	[	[	X
ejpam-6505	165	2	(	(	PUNCT
ejpam-6505	165	3	12(1	12(1	NOUN
ejpam-6505	165	4	+	+	CCONJ
ejpam-6505	165	5	α)−	α)−	VERB
ejpam-6505	165	6	6(1	6(1	NUM
ejpam-6505	165	7	+	+	CCONJ
ejpam-6505	165	8	αr)eα(1−r	αr)eα(1−r	ADJ
ejpam-6505	165	9	)	)	PUNCT
ejpam-6505	165	10	)	)	PUNCT
ejpam-6505	165	11	u	u	NOUN
ejpam-6505	165	12	(	(	PUNCT
ejpam-6505	165	13	0	0	NUM
ejpam-6505	165	14	)	)	PUNCT
ejpam-6505	165	15	+	+	CCONJ
ejpam-6505	165	16	(	(	PUNCT
ejpam-6505	165	17	(	(	PUNCT
ejpam-6505	165	18	2	2	NUM
ejpam-6505	165	19	+	+	NUM
ejpam-6505	165	20	k)(6	k)(6	X
ejpam-6505	165	21	+	+	X
ejpam-6505	165	22	9σ	9σ	NOUN
ejpam-6505	165	23	+	+	CCONJ
ejpam-6505	165	24	α(6	α(6	PROPN
ejpam-6505	165	25	+	+	NUM
ejpam-6505	165	26	9σ	9σ	NOUN
ejpam-6505	165	27	+	+	CCONJ
ejpam-6505	165	28	α(3	α(3	PROPN
ejpam-6505	165	29	+	+	NOUN
ejpam-6505	165	30	3α+	3α+	NUM
ejpam-6505	165	31	3σ)))−	3σ)))−	NUM
ejpam-6505	165	32	3(2	3(2	NUM
ejpam-6505	165	33	+	+	CCONJ
ejpam-6505	165	34	k)(1	k)(1	X
ejpam-6505	165	35	+	+	CCONJ
ejpam-6505	165	36	αr)(2	αr)(2	PRON
ejpam-6505	165	37	+	+	NUM
ejpam-6505	165	38	3σ)eα(1−r	3σ)eα(1−r	NUM
ejpam-6505	165	39	)	)	PUNCT
ejpam-6505	165	40	)	)	PUNCT
ejpam-6505	165	41	u	u	NOUN
ejpam-6505	165	42	]	]	PUNCT
ejpam-6505	165	43	sin	sin	NOUN
ejpam-6505	165	44	θ	θ	PROPN
ejpam-6505	165	45	δ2	δ2	VERB
ejpam-6505	165	46	,	,	PUNCT
ejpam-6505	165	47	(	(	PUNCT
ejpam-6505	165	48	3.48	3.48	NUM
ejpam-6505	165	49	)	)	PUNCT
ejpam-6505	165	50	δ2	δ2	VERB
ejpam-6505	165	51	=	=	SYM
ejpam-6505	165	52	2(2	2(2	PROPN
ejpam-6505	166	1	+	+	CCONJ
ejpam-6505	166	2	k)r2(3	k)r2(3	NOUN
ejpam-6505	166	3	+	+	CCONJ
ejpam-6505	166	4	α+	α+	X
ejpam-6505	166	5	3σ	3σ	NUM
ejpam-6505	166	6	)	)	PUNCT
ejpam-6505	166	7	.	.	PUNCT
ejpam-6505	167	1	a.	a.	PROPN
ejpam-6505	167	2	s.	s.	PROPN
ejpam-6505	167	3	aamer	aamer	PROPN
ejpam-6505	167	4	,	,	PUNCT
ejpam-6505	167	5	b.	b.	PROPN
ejpam-6505	167	6	a.	a.	PROPN
ejpam-6505	167	7	ahmed	ahmed	PROPN
ejpam-6505	167	8	,	,	PUNCT
ejpam-6505	167	9	s.	s.	PROPN
ejpam-6505	167	10	a.	a.	PROPN
ejpam-6505	167	11	mahrous	mahrous	PROPN
ejpam-6505	167	12	/	/	SYM
ejpam-6505	167	13	eur	eur	PROPN
ejpam-6505	167	14	.	.	PUNCT
ejpam-6505	168	1	j.	j.	PROPN
ejpam-6505	168	2	pure	pure	PROPN
ejpam-6505	168	3	appl	appl	PROPN
ejpam-6505	168	4	.	.	PROPN
ejpam-6505	168	5	math	math	PROPN
ejpam-6505	168	6	,	,	PUNCT
ejpam-6505	168	7	18	18	NUM
ejpam-6505	168	8	(	(	PUNCT
ejpam-6505	168	9	3	3	NUM
ejpam-6505	168	10	)	)	PUNCT
ejpam-6505	168	11	(	(	PUNCT
ejpam-6505	168	12	2025	2025	NUM
ejpam-6505	168	13	)	)	PUNCT
ejpam-6505	168	14	,	,	PUNCT
ejpam-6505	168	15	6505	6505	NUM
ejpam-6505	168	16	of	of	ADP
ejpam-6505	168	17	3.4	3.4	NUM
ejpam-6505	168	18	.	.	PUNCT
ejpam-6505	169	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	169	2	force	force	NOUN
ejpam-6505	169	3	acting	act	VERB
ejpam-6505	169	4	on	on	ADP
ejpam-6505	169	5	the	the	DET
ejpam-6505	169	6	droplet	droplet	NOUN
ejpam-6505	169	7	to	to	PART
ejpam-6505	169	8	find	find	VERB
ejpam-6505	169	9	the	the	DET
ejpam-6505	169	10	thermocapillary	thermocapillary	ADJ
ejpam-6505	169	11	force	force	NOUN
ejpam-6505	169	12	exerted	exert	VERB
ejpam-6505	169	13	on	on	ADP
ejpam-6505	169	14	the	the	DET
ejpam-6505	169	15	droplet	droplet	ADJ
ejpam-6505	169	16	due	due	ADP
ejpam-6505	169	17	to	to	ADP
ejpam-6505	169	18	the	the	DET
ejpam-6505	169	19	prescribed	prescribed	ADJ
ejpam-6505	169	20	temperature	temperature	NOUN
ejpam-6505	169	21	gradient	gradient	NOUN
ejpam-6505	169	22	∇t∞	∇t∞	PROPN
ejpam-6505	169	23	,	,	PUNCT
ejpam-6505	169	24	we	we	PRON
ejpam-6505	169	25	have	have	VERB
ejpam-6505	169	26	to	to	PART
ejpam-6505	169	27	consider	consider	VERB
ejpam-6505	169	28	boundary	boundary	ADJ
ejpam-6505	169	29	condition	condition	NOUN
ejpam-6505	169	30	(	(	PUNCT
ejpam-6505	169	31	3.22	3.22	NUM
ejpam-6505	169	32	)	)	PUNCT
ejpam-6505	169	33	with	with	ADP
ejpam-6505	169	34	vanishing	vanish	VERB
ejpam-6505	169	35	particle	particle	NOUN
ejpam-6505	169	36	velocity	velocity	NOUN
ejpam-6505	169	37	(	(	PUNCT
ejpam-6505	169	38	i.e.	i.e.	X
ejpam-6505	169	39	u	u	X
ejpam-6505	169	40	=	=	NOUN
ejpam-6505	169	41	0	0	NUM
ejpam-6505	169	42	)	)	PUNCT
ejpam-6505	169	43	into	into	ADP
ejpam-6505	169	44	the	the	DET
ejpam-6505	169	45	stream	stream	NOUN
ejpam-6505	169	46	functions	function	NOUN
ejpam-6505	169	47	given	give	VERB
ejpam-6505	169	48	by	by	ADP
ejpam-6505	169	49	(	(	PUNCT
ejpam-6505	169	50	3.25	3.25	NUM
ejpam-6505	169	51	)	)	PUNCT
ejpam-6505	169	52	and	and	CCONJ
ejpam-6505	169	53	(	(	PUNCT
ejpam-6505	169	54	3.26	3.26	NUM
ejpam-6505	169	55	)	)	PUNCT
ejpam-6505	169	56	.	.	PUNCT
ejpam-6505	170	1	inserting	insert	VERB
ejpam-6505	170	2	(	(	PUNCT
ejpam-6505	170	3	3.27)-(3.33	3.27)-(3.33	NUM
ejpam-6505	170	4	)	)	PUNCT
ejpam-6505	170	5	into	into	ADP
ejpam-6505	170	6	the	the	DET
ejpam-6505	170	7	boundary	boundary	ADJ
ejpam-6505	170	8	conditions	condition	NOUN
ejpam-6505	170	9	(	(	PUNCT
ejpam-6505	170	10	3.20)-(3.23	3.20)-(3.23	NUM
ejpam-6505	170	11	)	)	PUNCT
ejpam-6505	170	12	(	(	PUNCT
ejpam-6505	170	13	with	with	ADP
ejpam-6505	170	14	u	u	NOUN
ejpam-6505	170	15	=	=	NOUN
ejpam-6505	170	16	0	0	NUM
ejpam-6505	170	17	)	)	PUNCT
ejpam-6505	170	18	,	,	PUNCT
ejpam-6505	170	19	we	we	PRON
ejpam-6505	170	20	get	get	VERB
ejpam-6505	170	21	four	four	NUM
ejpam-6505	170	22	simultaneous	simultaneous	ADJ
ejpam-6505	170	23	equations	equation	NOUN
ejpam-6505	170	24	in	in	ADP
ejpam-6505	170	25	the	the	DET
ejpam-6505	170	26	unknown	unknown	ADJ
ejpam-6505	170	27	constants	constant	NOUN
ejpam-6505	170	28	a(p	a(p	NOUN
ejpam-6505	170	29	)	)	PUNCT
ejpam-6505	170	30	,	,	PUNCT
ejpam-6505	170	31	b(p	b(p	PROPN
ejpam-6505	170	32	)	)	PUNCT
ejpam-6505	170	33	,	,	PUNCT
ejpam-6505	170	34	a(d	a(d	PROPN
ejpam-6505	170	35	)	)	PUNCT
ejpam-6505	170	36	,	,	PUNCT
ejpam-6505	170	37	and	and	CCONJ
ejpam-6505	170	38	,	,	PUNCT
ejpam-6505	170	39	c(d	c(d	PROPN
ejpam-6505	170	40	)	)	PUNCT
ejpam-6505	170	41	,	,	PUNCT
ejpam-6505	170	42	the	the	DET
ejpam-6505	170	43	solution	solution	NOUN
ejpam-6505	170	44	of	of	ADP
ejpam-6505	170	45	which	which	PRON
ejpam-6505	170	46	give	give	VERB
ejpam-6505	170	47	a(p	a(p	NOUN
ejpam-6505	170	48	)	)	PUNCT
ejpam-6505	170	49	in	in	ADP
ejpam-6505	170	50	the	the	DET
ejpam-6505	170	51	following	follow	VERB
ejpam-6505	170	52	form	form	NOUN
ejpam-6505	170	53	,	,	PUNCT
ejpam-6505	170	54	a(p	a(p	NOUN
ejpam-6505	170	55	)	)	PUNCT
ejpam-6505	170	56	=	=	SYM
ejpam-6505	171	1	3(α+	3(α+	NUM
ejpam-6505	171	2	1)u	1)u	NUM
ejpam-6505	171	3	(	(	PUNCT
ejpam-6505	171	4	0	0	NUM
ejpam-6505	171	5	)	)	PUNCT
ejpam-6505	171	6	γ1	γ1	NOUN
ejpam-6505	171	7	.	.	PUNCT
ejpam-6505	172	1	(	(	PUNCT
ejpam-6505	172	2	3.49	3.49	NUM
ejpam-6505	172	3	)	)	PUNCT
ejpam-6505	172	4	again	again	ADV
ejpam-6505	172	5	,	,	PUNCT
ejpam-6505	172	6	by	by	ADP
ejpam-6505	172	7	using	use	VERB
ejpam-6505	172	8	formula	formula	NOUN
ejpam-6505	172	9	(	(	PUNCT
ejpam-6505	172	10	3.43	3.43	NUM
ejpam-6505	172	11	)	)	PUNCT
ejpam-6505	172	12	(	(	PUNCT
ejpam-6505	172	13	with	with	ADP
ejpam-6505	172	14	u	u	NOUN
ejpam-6505	172	15	=	=	NOUN
ejpam-6505	172	16	0	0	NUM
ejpam-6505	172	17	)	)	PUNCT
ejpam-6505	172	18	,	,	PUNCT
ejpam-6505	172	19	the	the	DET
ejpam-6505	172	20	thermocapillary	thermocapillary	ADJ
ejpam-6505	172	21	force	force	NOUN
ejpam-6505	172	22	acting	act	VERB
ejpam-6505	172	23	on	on	ADP
ejpam-6505	172	24	the	the	DET
ejpam-6505	172	25	droplet	droplet	NOUN
ejpam-6505	172	26	would	would	AUX
ejpam-6505	172	27	be	be	AUX
ejpam-6505	172	28	:	:	PUNCT
ejpam-6505	173	1	ft	ft	PROPN
ejpam-6505	173	2	=	=	SYM
ejpam-6505	173	3	12πµ̃(α+	12πµ̃(α+	NUM
ejpam-6505	173	4	1	1	NUM
ejpam-6505	173	5	)	)	PUNCT
ejpam-6505	173	6	(	(	PUNCT
ejpam-6505	173	7	3k	3k	X
ejpam-6505	173	8	+	+	CCONJ
ejpam-6505	173	9	6)σ	6)σ	NUM
ejpam-6505	173	10	+	+	CCONJ
ejpam-6505	173	11	(	(	PUNCT
ejpam-6505	173	12	α+	α+	INTJ
ejpam-6505	174	1	3)k	3)k	NUM
ejpam-6505	174	2	+	+	CCONJ
ejpam-6505	174	3	2α+	2α+	NUM
ejpam-6505	174	4	6	6	NUM
ejpam-6505	174	5	u	u	NOUN
ejpam-6505	174	6	(	(	PUNCT
ejpam-6505	174	7	0	0	NUM
ejpam-6505	174	8	)	)	PUNCT
ejpam-6505	174	9	.	.	PUNCT
ejpam-6505	175	1	(	(	PUNCT
ejpam-6505	175	2	3.50	3.50	NUM
ejpam-6505	175	3	)	)	PUNCT
ejpam-6505	175	4	now	now	ADV
ejpam-6505	175	5	,	,	PUNCT
ejpam-6505	175	6	the	the	DET
ejpam-6505	175	7	normalized	normalize	VERB
ejpam-6505	175	8	thermocapillary	thermocapillary	ADJ
ejpam-6505	175	9	force	force	NOUN
ejpam-6505	175	10	acting	act	VERB
ejpam-6505	175	11	on	on	ADP
ejpam-6505	175	12	the	the	DET
ejpam-6505	175	13	droplet	droplet	NOUN
ejpam-6505	175	14	is	be	AUX
ejpam-6505	175	15	,	,	PUNCT
ejpam-6505	175	16	f	f	PROPN
ejpam-6505	175	17	∗	∗	NOUN
ejpam-6505	175	18	t	t	NOUN
ejpam-6505	175	19	=	=	SYM
ejpam-6505	175	20	ft	ft	PROPN
ejpam-6505	175	21	12πµ̃u	12πµ̃u	PROPN
ejpam-6505	175	22	(	(	PUNCT
ejpam-6505	175	23	0	0	NUM
ejpam-6505	175	24	)	)	PUNCT
ejpam-6505	175	25	=	=	SYM
ejpam-6505	176	1	ft	ft	PROPN
ejpam-6505	176	2	12πe∞β	12πe∞β	NUM
ejpam-6505	176	3	=	=	SYM
ejpam-6505	176	4	α+	α+	PUNCT
ejpam-6505	176	5	1	1	NUM
ejpam-6505	176	6	(	(	PUNCT
ejpam-6505	176	7	3k	3k	X
ejpam-6505	176	8	+	+	CCONJ
ejpam-6505	176	9	6)σ	6)σ	NUM
ejpam-6505	176	10	+	+	CCONJ
ejpam-6505	176	11	(	(	PUNCT
ejpam-6505	176	12	α+	α+	INTJ
ejpam-6505	176	13	3)k	3)k	NUM
ejpam-6505	177	1	+	+	CCONJ
ejpam-6505	177	2	2α+	2α+	NUM
ejpam-6505	177	3	6	6	NUM
ejpam-6505	177	4	.	.	PUNCT
ejpam-6505	178	1	(	(	PUNCT
ejpam-6505	178	2	3.51	3.51	NUM
ejpam-6505	178	3	)	)	PUNCT
ejpam-6505	178	4	for	for	ADP
ejpam-6505	178	5	very	very	ADV
ejpam-6505	178	6	small	small	ADJ
ejpam-6505	178	7	α	α	NOUN
ejpam-6505	178	8	,	,	PUNCT
ejpam-6505	178	9	the	the	DET
ejpam-6505	178	10	asymptotic	asymptotic	ADJ
ejpam-6505	178	11	expansion	expansion	NOUN
ejpam-6505	178	12	of	of	ADP
ejpam-6505	178	13	f	f	PROPN
ejpam-6505	178	14	∗	∗	PROPN
ejpam-6505	178	15	t	t	PROPN
ejpam-6505	178	16	is	be	AUX
ejpam-6505	178	17	given	give	VERB
ejpam-6505	178	18	by	by	ADP
ejpam-6505	178	19	:	:	PUNCT
ejpam-6505	178	20	f	f	PROPN
ejpam-6505	178	21	∗	∗	NOUN
ejpam-6505	178	22	t	t	NOUN
ejpam-6505	178	23	=	=	SYM
ejpam-6505	178	24	1	1	NUM
ejpam-6505	178	25	3(k	3(k	NUM
ejpam-6505	178	26	+	+	NUM
ejpam-6505	178	27	2)(σ	2)(σ	NUM
ejpam-6505	178	28	+	+	CCONJ
ejpam-6505	178	29	1	1	NUM
ejpam-6505	178	30	)	)	PUNCT
ejpam-6505	178	31	[	[	PUNCT
ejpam-6505	178	32	1	1	NUM
ejpam-6505	178	33	+	+	NUM
ejpam-6505	178	34	α	α	PROPN
ejpam-6505	178	35	(	(	PUNCT
ejpam-6505	178	36	1−	1−	NUM
ejpam-6505	178	37	δ	δ	PROPN
ejpam-6505	178	38	)	)	PUNCT
ejpam-6505	179	1	+	+	CCONJ
ejpam-6505	179	2	α2	α2	ADJ
ejpam-6505	179	3	(	(	PUNCT
ejpam-6505	179	4	−δ	−δ	ADJ
ejpam-6505	179	5	+	+	CCONJ
ejpam-6505	179	6	δ2	δ2	ADJ
ejpam-6505	179	7	)	)	PUNCT
ejpam-6505	179	8	]	]	PUNCT
ejpam-6505	180	1	+	+	X
ejpam-6505	180	2	o(α3	o(α3	NOUN
ejpam-6505	180	3	)	)	PUNCT
ejpam-6505	180	4	(	(	PUNCT
ejpam-6505	180	5	3.52	3.52	NUM
ejpam-6505	180	6	)	)	PUNCT
ejpam-6505	180	7	where	where	SCONJ
ejpam-6505	180	8	,	,	PUNCT
ejpam-6505	180	9	δ	δ	PROPN
ejpam-6505	180	10	=	=	SYM
ejpam-6505	180	11	1/(3(σ	1/(3(σ	NUM
ejpam-6505	180	12	+	+	NOUN
ejpam-6505	180	13	1	1	NUM
ejpam-6505	180	14	)	)	PUNCT
ejpam-6505	180	15	)	)	PUNCT
ejpam-6505	180	16	.	.	PUNCT
ejpam-6505	181	1	at	at	ADP
ejpam-6505	181	2	(	(	PUNCT
ejpam-6505	181	3	α	α	NOUN
ejpam-6505	181	4	=	=	NOUN
ejpam-6505	181	5	0	0	NUM
ejpam-6505	181	6	)	)	PUNCT
ejpam-6505	181	7	the	the	DET
ejpam-6505	181	8	force	force	NOUN
ejpam-6505	181	9	would	would	AUX
ejpam-6505	181	10	correspond	correspond	VERB
ejpam-6505	181	11	to	to	ADP
ejpam-6505	181	12	a	a	DET
ejpam-6505	181	13	clear	clear	ADJ
ejpam-6505	181	14	fluid	fluid	NOUN
ejpam-6505	181	15	and	and	CCONJ
ejpam-6505	181	16	is	be	AUX
ejpam-6505	181	17	given	give	VERB
ejpam-6505	181	18	by	by	ADP
ejpam-6505	181	19	:	:	PUNCT
ejpam-6505	181	20	f0	f0	PROPN
ejpam-6505	181	21	=	=	SYM
ejpam-6505	181	22	1	1	NUM
ejpam-6505	181	23	3(k	3(k	NUM
ejpam-6505	181	24	+	+	NUM
ejpam-6505	181	25	2)(σ	2)(σ	NUM
ejpam-6505	181	26	+	+	CCONJ
ejpam-6505	181	27	1	1	NUM
ejpam-6505	181	28	)	)	PUNCT
ejpam-6505	181	29	,	,	PUNCT
ejpam-6505	181	30	(	(	PUNCT
ejpam-6505	181	31	3.53	3.53	NUM
ejpam-6505	181	32	)	)	PUNCT
ejpam-6505	181	33	which	which	PRON
ejpam-6505	181	34	recovers	recover	VERB
ejpam-6505	181	35	the	the	DET
ejpam-6505	181	36	result	result	NOUN
ejpam-6505	181	37	of	of	ADP
ejpam-6505	181	38	luzhang	luzhang	PROPN
ejpam-6505	181	39	et	et	PROPN
ejpam-6505	181	40	al	al	PROPN
ejpam-6505	181	41	.	.	PUNCT
ejpam-6505	182	1	[	[	X
ejpam-6505	182	2	1	1	NUM
ejpam-6505	182	3	]	]	PUNCT
ejpam-6505	182	4	.	.	PUNCT
ejpam-6505	183	1	it	it	PRON
ejpam-6505	183	2	is	be	AUX
ejpam-6505	183	3	obvious	obvious	ADJ
ejpam-6505	183	4	that	that	SCONJ
ejpam-6505	183	5	in	in	ADP
ejpam-6505	183	6	the	the	DET
ejpam-6505	183	7	presence	presence	NOUN
ejpam-6505	183	8	of	of	ADP
ejpam-6505	183	9	a	a	DET
ejpam-6505	183	10	porous	porous	ADJ
ejpam-6505	183	11	structure	structure	NOUN
ejpam-6505	183	12	,	,	PUNCT
ejpam-6505	183	13	the	the	DET
ejpam-6505	183	14	normalized	normalize	VERB
ejpam-6505	183	15	force	force	NOUN
ejpam-6505	183	16	is	be	AUX
ejpam-6505	183	17	greater	great	ADJ
ejpam-6505	183	18	than	than	ADP
ejpam-6505	183	19	the	the	DET
ejpam-6505	183	20	viscous	viscous	ADJ
ejpam-6505	183	21	counterpart	counterpart	NOUN
ejpam-6505	183	22	.	.	PUNCT
ejpam-6505	184	1	4	4	X
ejpam-6505	184	2	.	.	NOUN
ejpam-6505	184	3	photocapillary	photocapillary	ADJ
ejpam-6505	184	4	effects	effect	NOUN
ejpam-6505	184	5	on	on	ADP
ejpam-6505	184	6	the	the	DET
ejpam-6505	184	7	spherical	spherical	ADJ
ejpam-6505	184	8	droplet	droplet	NOUN
ejpam-6505	184	9	in	in	ADP
ejpam-6505	184	10	the	the	DET
ejpam-6505	184	11	context	context	NOUN
ejpam-6505	184	12	of	of	ADP
ejpam-6505	184	13	photocapillary	photocapillary	ADJ
ejpam-6505	184	14	phenomena	phenomenon	NOUN
ejpam-6505	184	15	,	,	PUNCT
ejpam-6505	184	16	the	the	DET
ejpam-6505	184	17	temperature	temperature	NOUN
ejpam-6505	184	18	distribution	distribution	NOUN
ejpam-6505	184	19	within	within	ADP
ejpam-6505	184	20	the	the	DET
ejpam-6505	184	21	porous	porous	ADJ
ejpam-6505	184	22	medium	medium	NOUN
ejpam-6505	184	23	remains	remain	NOUN
ejpam-6505	184	24	governed	govern	VERB
ejpam-6505	184	25	by	by	ADP
ejpam-6505	184	26	the	the	DET
ejpam-6505	184	27	same	same	ADJ
ejpam-6505	184	28	formulation	formulation	NOUN
ejpam-6505	184	29	as	as	ADP
ejpam-6505	184	30	in	in	ADP
ejpam-6505	184	31	equation	equation	NOUN
ejpam-6505	184	32	(	(	PUNCT
ejpam-6505	184	33	3.2	3.2	NUM
ejpam-6505	184	34	)	)	PUNCT
ejpam-6505	184	35	.	.	PUNCT
ejpam-6505	185	1	however	however	ADV
ejpam-6505	185	2	,	,	PUNCT
ejpam-6505	185	3	the	the	DET
ejpam-6505	185	4	temperature	temperature	NOUN
ejpam-6505	185	5	inside	inside	ADP
ejpam-6505	185	6	the	the	DET
ejpam-6505	185	7	droplet	droplet	ADJ
ejpam-6505	185	8	—	—	PUNCT
ejpam-6505	185	9	now	now	ADV
ejpam-6505	185	10	absorbing	absorb	VERB
ejpam-6505	185	11	electromagnetic	electromagnetic	ADJ
ejpam-6505	185	12	radiation	radiation	NOUN
ejpam-6505	185	13	—	—	PUNCT
ejpam-6505	185	14	is	be	AUX
ejpam-6505	185	15	described	describe	VERB
ejpam-6505	185	16	by	by	ADP
ejpam-6505	185	17	a	a	DET
ejpam-6505	185	18	new	new	ADJ
ejpam-6505	185	19	energy	energy	NOUN
ejpam-6505	185	20	balance	balance	NOUN
ejpam-6505	185	21	equation	equation	NOUN
ejpam-6505	185	22	[	[	X
ejpam-6505	185	23	32	32	NUM
ejpam-6505	185	24	,	,	PUNCT
ejpam-6505	185	25	33	33	NUM
ejpam-6505	185	26	]	]	PUNCT
ejpam-6505	185	27	:	:	PUNCT
ejpam-6505	185	28	∇2t̃d	∇2t̃d	PROPN
ejpam-6505	185	29	=	=	PUNCT
ejpam-6505	186	1	−	−	PROPN
ejpam-6505	186	2	1	1	NUM
ejpam-6505	186	3	kd	kd	PROPN
ejpam-6505	186	4	q(r	q(r	PROPN
ejpam-6505	186	5	,	,	PUNCT
ejpam-6505	186	6	ζ	ζ	NOUN
ejpam-6505	186	7	)	)	PUNCT
ejpam-6505	186	8	.	.	PUNCT
ejpam-6505	187	1	(	(	PUNCT
ejpam-6505	187	2	4.1	4.1	NUM
ejpam-6505	187	3	)	)	PUNCT
ejpam-6505	187	4	here	here	ADV
ejpam-6505	187	5	,	,	PUNCT
ejpam-6505	187	6	q(r	q(r	PROPN
ejpam-6505	187	7	,	,	PUNCT
ejpam-6505	187	8	ζ	ζ	NOUN
ejpam-6505	187	9	)	)	PUNCT
ejpam-6505	187	10	represents	represent	VERB
ejpam-6505	187	11	the	the	DET
ejpam-6505	187	12	volumetric	volumetric	ADJ
ejpam-6505	187	13	energy	energy	NOUN
ejpam-6505	187	14	generation	generation	NOUN
ejpam-6505	188	1	[	[	X
ejpam-6505	188	2	34	34	NUM
ejpam-6505	188	3	]	]	PUNCT
ejpam-6505	188	4	due	due	ADP
ejpam-6505	188	5	to	to	ADP
ejpam-6505	188	6	the	the	DET
ejpam-6505	188	7	absorption	absorption	NOUN
ejpam-6505	188	8	of	of	ADP
ejpam-6505	188	9	incident	incident	NOUN
ejpam-6505	188	10	radiation	radiation	NOUN
ejpam-6505	188	11	.	.	PUNCT
ejpam-6505	189	1	for	for	ADP
ejpam-6505	189	2	monochromatic	monochromatic	ADJ
ejpam-6505	189	3	radiation	radiation	NOUN
ejpam-6505	189	4	,	,	PUNCT
ejpam-6505	189	5	the	the	DET
ejpam-6505	189	6	heat	heat	NOUN
ejpam-6505	189	7	generation	generation	NOUN
ejpam-6505	189	8	term	term	NOUN
ejpam-6505	189	9	is	be	AUX
ejpam-6505	189	10	given	give	VERB
ejpam-6505	189	11	by	by	ADP
ejpam-6505	189	12	:	:	PUNCT
ejpam-6505	189	13	q(r	q(r	PROPN
ejpam-6505	189	14	,	,	PUNCT
ejpam-6505	189	15	θ	θ	PROPN
ejpam-6505	189	16	)	)	PUNCT
ejpam-6505	189	17	=	=	SYM
ejpam-6505	190	1	4πνk̃i	4πνk̃i	NUM
ejpam-6505	190	2	λ	λ	SYM
ejpam-6505	190	3	b(ξ	b(ξ	NOUN
ejpam-6505	190	4	,	,	PUNCT
ejpam-6505	190	5	ζ	ζ	NOUN
ejpam-6505	190	6	)	)	PUNCT
ejpam-6505	190	7	,	,	PUNCT
ejpam-6505	190	8	(	(	PUNCT
ejpam-6505	190	9	4.2	4.2	NUM
ejpam-6505	190	10	)	)	PUNCT
ejpam-6505	190	11	in	in	ADP
ejpam-6505	190	12	this	this	DET
ejpam-6505	190	13	equation	equation	NOUN
ejpam-6505	190	14	:	:	PUNCT
ejpam-6505	190	15	a.	a.	PROPN
ejpam-6505	190	16	s.	s.	PROPN
ejpam-6505	190	17	aamer	aamer	PROPN
ejpam-6505	190	18	,	,	PUNCT
ejpam-6505	190	19	b.	b.	PROPN
ejpam-6505	190	20	a.	a.	PROPN
ejpam-6505	190	21	ahmed	ahmed	PROPN
ejpam-6505	190	22	,	,	PUNCT
ejpam-6505	190	23	s.	s.	PROPN
ejpam-6505	190	24	a.	a.	PROPN
ejpam-6505	190	25	mahrous	mahrous	PROPN
ejpam-6505	190	26	/	/	SYM
ejpam-6505	190	27	eur	eur	PROPN
ejpam-6505	190	28	.	.	PUNCT
ejpam-6505	191	1	j.	j.	PROPN
ejpam-6505	191	2	pure	pure	PROPN
ejpam-6505	191	3	appl	appl	PROPN
ejpam-6505	191	4	.	.	PROPN
ejpam-6505	191	5	math	math	PROPN
ejpam-6505	191	6	,	,	PUNCT
ejpam-6505	191	7	18	18	NUM
ejpam-6505	191	8	(	(	PUNCT
ejpam-6505	191	9	3	3	NUM
ejpam-6505	191	10	)	)	PUNCT
ejpam-6505	191	11	(	(	PUNCT
ejpam-6505	191	12	2025	2025	NUM
ejpam-6505	191	13	)	)	PUNCT
ejpam-6505	191	14	,	,	PUNCT
ejpam-6505	191	15	6505	6505	NUM
ejpam-6505	191	16	of	of	ADP
ejpam-6505	191	17	•	•	NOUN
ejpam-6505	191	18	ν	ν	NOUN
ejpam-6505	191	19	and	and	CCONJ
ejpam-6505	191	20	k̃	k̃	PROPN
ejpam-6505	191	21	are	be	AUX
ejpam-6505	191	22	the	the	DET
ejpam-6505	191	23	real	real	ADJ
ejpam-6505	191	24	and	and	CCONJ
ejpam-6505	191	25	imaginary	imaginary	ADJ
ejpam-6505	191	26	parts	part	NOUN
ejpam-6505	191	27	of	of	ADP
ejpam-6505	191	28	the	the	DET
ejpam-6505	191	29	droplet	droplet	ADJ
ejpam-6505	191	30	’s	’s	PART
ejpam-6505	191	31	complex	complex	ADJ
ejpam-6505	191	32	refractive	refractive	ADJ
ejpam-6505	191	33	index	index	NOUN
ejpam-6505	191	34	.	.	PUNCT
ejpam-6505	192	1	•	•	NUM
ejpam-6505	192	2	λ	λ	NOUN
ejpam-6505	192	3	is	be	AUX
ejpam-6505	192	4	the	the	DET
ejpam-6505	192	5	incident	incident	NOUN
ejpam-6505	192	6	radiation	radiation	NOUN
ejpam-6505	192	7	wavelength	wavelength	NOUN
ejpam-6505	192	8	.	.	PUNCT
ejpam-6505	193	1	•	•	ADV
ejpam-6505	193	2	b(ξ	b(ξ	NOUN
ejpam-6505	193	3	,	,	PUNCT
ejpam-6505	193	4	ζ	ζ	NOUN
ejpam-6505	193	5	)	)	PUNCT
ejpam-6505	193	6	=	=	SYM
ejpam-6505	193	7	|e(ξ	|e(ξ	PROPN
ejpam-6505	193	8	,	,	PUNCT
ejpam-6505	193	9	ζ)|2	ζ)|2	NOUN
ejpam-6505	193	10	|e0|2	|e0|2	NUM
ejpam-6505	193	11	is	be	AUX
ejpam-6505	193	12	a	a	DET
ejpam-6505	193	13	dimensionless	dimensionless	ADJ
ejpam-6505	193	14	electric	electric	ADJ
ejpam-6505	193	15	field	field	NOUN
ejpam-6505	193	16	distribution	distribution	NOUN
ejpam-6505	193	17	where	where	SCONJ
ejpam-6505	193	18	e(ξ	e(ξ	NOUN
ejpam-6505	193	19	,	,	PUNCT
ejpam-6505	193	20	ζ	ζ	NOUN
ejpam-6505	193	21	)	)	PUNCT
ejpam-6505	193	22	is	be	AUX
ejpam-6505	193	23	the	the	DET
ejpam-6505	193	24	electric	electric	ADJ
ejpam-6505	193	25	field	field	NOUN
ejpam-6505	193	26	of	of	ADP
ejpam-6505	193	27	the	the	DET
ejpam-6505	193	28	particle	particle	NOUN
ejpam-6505	193	29	and	and	CCONJ
ejpam-6505	193	30	e0	e0	PROPN
ejpam-6505	193	31	is	be	AUX
ejpam-6505	193	32	the	the	DET
ejpam-6505	193	33	incident	incident	NOUN
ejpam-6505	193	34	electric	electric	ADJ
ejpam-6505	193	35	field	field	NOUN
ejpam-6505	193	36	strength	strength	NOUN
ejpam-6505	193	37	.	.	PUNCT
ejpam-6505	194	1	•	•	NUM
ejpam-6505	194	2	ξ	ξ	X
ejpam-6505	194	3	=	=	SYM
ejpam-6505	194	4	r	r	NOUN
ejpam-6505	194	5	a	a	X
ejpam-6505	194	6	,	,	PUNCT
ejpam-6505	194	7	with	with	ADP
ejpam-6505	194	8	a	a	DET
ejpam-6505	194	9	being	be	AUX
ejpam-6505	194	10	the	the	DET
ejpam-6505	194	11	droplet	droplet	ADJ
ejpam-6505	194	12	radius	radius	NOUN
ejpam-6505	194	13	.	.	PUNCT
ejpam-6505	195	1	the	the	DET
ejpam-6505	195	2	boundary	boundary	ADJ
ejpam-6505	195	3	conditions	condition	NOUN
ejpam-6505	195	4	remain	remain	VERB
ejpam-6505	195	5	similar	similar	ADJ
ejpam-6505	195	6	to	to	ADP
ejpam-6505	195	7	those	those	PRON
ejpam-6505	195	8	discussed	discuss	VERB
ejpam-6505	195	9	in	in	ADP
ejpam-6505	195	10	the	the	DET
ejpam-6505	195	11	thermocapillary	thermocapillary	ADJ
ejpam-6505	195	12	effects	effect	NOUN
ejpam-6505	195	13	section	section	NOUN
ejpam-6505	195	14	,	,	PUNCT
ejpam-6505	195	15	with	with	ADP
ejpam-6505	195	16	a	a	DET
ejpam-6505	195	17	new	new	ADJ
ejpam-6505	195	18	outer	outer	ADJ
ejpam-6505	195	19	condition	condition	NOUN
ejpam-6505	195	20	as	as	SCONJ
ejpam-6505	195	21	follows	follow	VERB
ejpam-6505	195	22	;	;	PUNCT
ejpam-6505	195	23	matching	match	VERB
ejpam-6505	195	24	the	the	DET
ejpam-6505	195	25	temperature	temperature	NOUN
ejpam-6505	195	26	and	and	CCONJ
ejpam-6505	195	27	heat	heat	NOUN
ejpam-6505	195	28	flux	flux	NOUN
ejpam-6505	195	29	at	at	ADP
ejpam-6505	195	30	the	the	DET
ejpam-6505	195	31	droplet	droplet	ADJ
ejpam-6505	195	32	interface	interface	NOUN
ejpam-6505	195	33	(	(	PUNCT
ejpam-6505	195	34	ξ	ξ	X
ejpam-6505	195	35	=	=	SYM
ejpam-6505	195	36	1	1	NUM
ejpam-6505	195	37	):	):	PUNCT
ejpam-6505	195	38	t̃p	t̃p	NOUN
ejpam-6505	195	39	=	=	SYM
ejpam-6505	195	40	t̃d	t̃d	PROPN
ejpam-6505	195	41	,	,	PUNCT
ejpam-6505	195	42	kp	kp	PROPN
ejpam-6505	195	43	∂t̃p	∂t̃p	PROPN
ejpam-6505	195	44	∂ξ	∂ξ	NUM
ejpam-6505	196	1	=	=	PUNCT
ejpam-6505	196	2	kd	kd	X
ejpam-6505	196	3	∂t̃d	∂t̃d	PROPN
ejpam-6505	196	4	∂ξ	∂ξ	PROPN
ejpam-6505	196	5	,	,	PUNCT
ejpam-6505	196	6	(	(	PUNCT
ejpam-6505	196	7	4.3	4.3	NUM
ejpam-6505	196	8	)	)	PUNCT
ejpam-6505	196	9	with	with	ADP
ejpam-6505	196	10	t̃p	t̃p	NOUN
ejpam-6505	196	11	→	→	SYM
ejpam-6505	196	12	t∞	t∞	NOUN
ejpam-6505	196	13	as	as	SCONJ
ejpam-6505	196	14	r	r	PROPN
ejpam-6505	196	15	→	→	SYM
ejpam-6505	196	16	∞.	∞.	PROPN
ejpam-6505	196	17	(	(	PUNCT
ejpam-6505	196	18	4.4	4.4	NUM
ejpam-6505	196	19	)	)	PUNCT
ejpam-6505	196	20	we	we	PRON
ejpam-6505	196	21	expand	expand	VERB
ejpam-6505	196	22	the	the	DET
ejpam-6505	196	23	internal	internal	ADJ
ejpam-6505	196	24	temperature	temperature	NOUN
ejpam-6505	196	25	field	field	NOUN
ejpam-6505	196	26	as	as	ADP
ejpam-6505	196	27	:	:	PUNCT
ejpam-6505	196	28	t̃d	t̃d	X
ejpam-6505	196	29	=	=	PUNCT
ejpam-6505	196	30	ai	ai	VERB
ejpam-6505	196	31	kd	kd	PROPN
ejpam-6505	196	32	∞∑	∞∑	NUM
ejpam-6505	196	33	n=0	n=0	NUM
ejpam-6505	196	34	fn(ξ)pn(ζ	fn(ξ)pn(ζ	NOUN
ejpam-6505	196	35	)	)	PUNCT
ejpam-6505	196	36	.	.	PUNCT
ejpam-6505	197	1	(	(	PUNCT
ejpam-6505	197	2	4.5	4.5	X
ejpam-6505	197	3	)	)	PUNCT
ejpam-6505	197	4	substituting	substitute	VERB
ejpam-6505	197	5	into	into	ADP
ejpam-6505	197	6	the	the	DET
ejpam-6505	197	7	heat	heat	NOUN
ejpam-6505	197	8	equation	equation	NOUN
ejpam-6505	197	9	from	from	ADP
ejpam-6505	197	10	(	(	PUNCT
ejpam-6505	197	11	4.1	4.1	NUM
ejpam-6505	197	12	)	)	PUNCT
ejpam-6505	197	13	yields	yield	NOUN
ejpam-6505	197	14	:	:	PUNCT
ejpam-6505	197	15	d	d	X
ejpam-6505	197	16	dξ	dξ	PROPN
ejpam-6505	197	17	(	(	PUNCT
ejpam-6505	197	18	ξ2	ξ2	PROPN
ejpam-6505	197	19	dfn	dfn	NOUN
ejpam-6505	197	20	dξ	dξ	PROPN
ejpam-6505	197	21	)	)	PUNCT
ejpam-6505	198	1	−	−	ADP
ejpam-6505	198	2	n(n+	n(n+	NOUN
ejpam-6505	199	1	1)fn	1)fn	PROPN
ejpam-6505	199	2	=	=	SYM
ejpam-6505	199	3	−4πνk̃a	−4πνk̃a	PROPN
ejpam-6505	199	4	λ	λ	X
ejpam-6505	199	5	ξ2ωn(ξ	ξ2ωn(ξ	PROPN
ejpam-6505	199	6	)	)	PUNCT
ejpam-6505	199	7	,	,	PUNCT
ejpam-6505	199	8	(	(	PUNCT
ejpam-6505	199	9	4.6	4.6	NUM
ejpam-6505	199	10	)	)	PUNCT
ejpam-6505	199	11	where	where	SCONJ
ejpam-6505	199	12	,	,	PUNCT
ejpam-6505	199	13	ωn(ξ	ωn(ξ	NUM
ejpam-6505	199	14	)	)	PUNCT
ejpam-6505	199	15	=	=	SYM
ejpam-6505	199	16	1	1	NUM
ejpam-6505	199	17	2	2	NUM
ejpam-6505	199	18	(	(	PUNCT
ejpam-6505	199	19	2n+	2n+	NUM
ejpam-6505	199	20	1	1	NUM
ejpam-6505	199	21	)	)	PUNCT
ejpam-6505	199	22	∫	∫	PROPN
ejpam-6505	199	23	1	1	NUM
ejpam-6505	199	24	−1	−1	NOUN
ejpam-6505	199	25	b(ξ	b(ξ	ADJ
ejpam-6505	199	26	,	,	PUNCT
ejpam-6505	199	27	ζ)pn(ζ	ζ)pn(ζ	NOUN
ejpam-6505	199	28	)	)	PUNCT
ejpam-6505	199	29	dζ	dζ	PROPN
ejpam-6505	199	30	.	.	PROPN
ejpam-6505	199	31	(	(	PUNCT
ejpam-6505	199	32	4.7	4.7	NUM
ejpam-6505	199	33	)	)	PUNCT
ejpam-6505	199	34	solving	solve	VERB
ejpam-6505	199	35	via	via	ADP
ejpam-6505	199	36	variation	variation	NOUN
ejpam-6505	199	37	of	of	ADP
ejpam-6505	199	38	parameters	parameter	NOUN
ejpam-6505	199	39	,	,	PUNCT
ejpam-6505	199	40	the	the	DET
ejpam-6505	199	41	complete	complete	ADJ
ejpam-6505	199	42	solution	solution	NOUN
ejpam-6505	199	43	is	be	AUX
ejpam-6505	199	44	given	give	VERB
ejpam-6505	199	45	as	as	ADP
ejpam-6505	199	46	:	:	PUNCT
ejpam-6505	199	47	fn(ξ	fn(ξ	X
ejpam-6505	199	48	)	)	PUNCT
ejpam-6505	199	49	=	=	SYM
ejpam-6505	199	50	a(ph	a(ph	NOUN
ejpam-6505	199	51	)	)	PUNCT
ejpam-6505	199	52	n	n	PRON
ejpam-6505	199	53	ξ−(n+1	ξ−(n+1	NOUN
ejpam-6505	199	54	)	)	PUNCT
ejpam-6505	200	1	+	+	PUNCT
ejpam-6505	200	2	b(ph	b(ph	PROPN
ejpam-6505	200	3	)	)	PUNCT
ejpam-6505	201	1	n	n	PRON
ejpam-6505	201	2	ξn	ξn	NOUN
ejpam-6505	201	3	+	+	CCONJ
ejpam-6505	201	4	sn(ξ	sn(ξ	NUM
ejpam-6505	201	5	)	)	PUNCT
ejpam-6505	201	6	,	,	PUNCT
ejpam-6505	201	7	(	(	PUNCT
ejpam-6505	201	8	4.8	4.8	NUM
ejpam-6505	201	9	)	)	PUNCT
ejpam-6505	201	10	where	where	SCONJ
ejpam-6505	201	11	,	,	PUNCT
ejpam-6505	201	12	a	a	DET
ejpam-6505	201	13	(	(	PUNCT
ejpam-6505	201	14	ph	ph	NOUN
ejpam-6505	201	15	)	)	PUNCT
ejpam-6505	201	16	n	n	NOUN
ejpam-6505	201	17	and	and	CCONJ
ejpam-6505	201	18	b	b	X
ejpam-6505	201	19	(	(	PUNCT
ejpam-6505	201	20	ph	ph	PROPN
ejpam-6505	201	21	)	)	PUNCT
ejpam-6505	201	22	n	n	NOUN
ejpam-6505	201	23	are	be	AUX
ejpam-6505	201	24	unknown	unknown	ADJ
ejpam-6505	201	25	constants	constant	NOUN
ejpam-6505	201	26	to	to	PART
ejpam-6505	201	27	be	be	AUX
ejpam-6505	201	28	determined	determine	VERB
ejpam-6505	201	29	,	,	PUNCT
ejpam-6505	201	30	sn(ξ	sn(ξ	NUM
ejpam-6505	201	31	)	)	PUNCT
ejpam-6505	201	32	is	be	AUX
ejpam-6505	201	33	the	the	DET
ejpam-6505	201	34	particular	particular	ADJ
ejpam-6505	201	35	solution	solution	NOUN
ejpam-6505	201	36	of	of	ADP
ejpam-6505	201	37	equation	equation	NOUN
ejpam-6505	201	38	(	(	PUNCT
ejpam-6505	201	39	4.6	4.6	NUM
ejpam-6505	201	40	)	)	PUNCT
ejpam-6505	201	41	,	,	PUNCT
ejpam-6505	201	42	that	that	PRON
ejpam-6505	201	43	is	be	AUX
ejpam-6505	201	44	given	give	VERB
ejpam-6505	201	45	by	by	ADP
ejpam-6505	201	46	:	:	PUNCT
ejpam-6505	201	47	sn(ξ	sn(ξ	NUM
ejpam-6505	201	48	)	)	PUNCT
ejpam-6505	201	49	=	=	SYM
ejpam-6505	202	1	4πνk̃a3	4πνk̃a3	NUM
ejpam-6505	202	2	λ(2n+	λ(2n+	NOUN
ejpam-6505	202	3	1	1	NUM
ejpam-6505	202	4	)	)	PUNCT
ejpam-6505	202	5	[	[	PUNCT
ejpam-6505	202	6	ξn	ξn	PROPN
ejpam-6505	202	7	∫	∫	PROPN
ejpam-6505	202	8	1	1	NUM
ejpam-6505	202	9	ξ	ξ	PROPN
ejpam-6505	202	10	t−(n−1)ωn(t)dt+	t−(n−1)ωn(t)dt+	NUM
ejpam-6505	202	11	ξ−(n+1	ξ−(n+1	NOUN
ejpam-6505	202	12	)	)	PUNCT
ejpam-6505	202	13	∫	∫	PROPN
ejpam-6505	203	1	ξ	ξ	SYM
ejpam-6505	203	2	0	0	NUM
ejpam-6505	203	3	tn+2ωn(t)dt	tn+2ωn(t)dt	NOUN
ejpam-6505	203	4	]	]	PUNCT
ejpam-6505	203	5	.	.	PUNCT
ejpam-6505	204	1	(	(	PUNCT
ejpam-6505	204	2	4.9	4.9	NUM
ejpam-6505	204	3	)	)	PUNCT
ejpam-6505	204	4	now	now	ADV
ejpam-6505	204	5	the	the	DET
ejpam-6505	204	6	temperature	temperature	NOUN
ejpam-6505	204	7	profiles	profile	NOUN
ejpam-6505	204	8	(	(	PUNCT
ejpam-6505	204	9	as	as	ADP
ejpam-6505	204	10	solutions	solution	NOUN
ejpam-6505	204	11	of	of	ADP
ejpam-6505	204	12	equations	equation	NOUN
ejpam-6505	204	13	(	(	PUNCT
ejpam-6505	204	14	3.2	3.2	NUM
ejpam-6505	204	15	)	)	PUNCT
ejpam-6505	204	16	and	and	CCONJ
ejpam-6505	204	17	(	(	PUNCT
ejpam-6505	204	18	4.1	4.1	NUM
ejpam-6505	204	19	)	)	PUNCT
ejpam-6505	204	20	)	)	PUNCT
ejpam-6505	204	21	are	be	AUX
ejpam-6505	204	22	as	as	SCONJ
ejpam-6505	204	23	follows	follow	VERB
ejpam-6505	204	24	:	:	PUNCT
ejpam-6505	205	1	t̃p	t̃p	NOUN
ejpam-6505	205	2	=	=	SYM
ejpam-6505	205	3	t∞	t∞	NOUN
ejpam-6505	206	1	+	+	CCONJ
ejpam-6505	206	2	ai	ai	VERB
ejpam-6505	206	3	k	k	PROPN
ejpam-6505	206	4	∞∑	∞∑	PROPN
ejpam-6505	206	5	n=0	n=0	NUM
ejpam-6505	206	6	b(ph	b(ph	PROPN
ejpam-6505	206	7	)	)	PUNCT
ejpam-6505	206	8	n	n	CCONJ
ejpam-6505	206	9	ξnpn(ζ	ξnpn(ζ	NOUN
ejpam-6505	206	10	)	)	PUNCT
ejpam-6505	206	11	,	,	PUNCT
ejpam-6505	206	12	(	(	PUNCT
ejpam-6505	206	13	4.10	4.10	NUM
ejpam-6505	206	14	)	)	PUNCT
ejpam-6505	206	15	a.	a.	NOUN
ejpam-6505	206	16	s.	s.	PROPN
ejpam-6505	206	17	aamer	aamer	PROPN
ejpam-6505	206	18	,	,	PUNCT
ejpam-6505	206	19	b.	b.	PROPN
ejpam-6505	206	20	a.	a.	PROPN
ejpam-6505	206	21	ahmed	ahmed	PROPN
ejpam-6505	206	22	,	,	PUNCT
ejpam-6505	206	23	s.	s.	PROPN
ejpam-6505	206	24	a.	a.	PROPN
ejpam-6505	206	25	mahrous	mahrous	PROPN
ejpam-6505	206	26	/	/	SYM
ejpam-6505	206	27	eur	eur	PROPN
ejpam-6505	206	28	.	.	PUNCT
ejpam-6505	207	1	j.	j.	PROPN
ejpam-6505	207	2	pure	pure	PROPN
ejpam-6505	207	3	appl	appl	PROPN
ejpam-6505	207	4	.	.	PROPN
ejpam-6505	207	5	math	math	PROPN
ejpam-6505	207	6	,	,	PUNCT
ejpam-6505	207	7	18	18	NUM
ejpam-6505	207	8	(	(	PUNCT
ejpam-6505	207	9	3	3	NUM
ejpam-6505	207	10	)	)	PUNCT
ejpam-6505	207	11	(	(	PUNCT
ejpam-6505	207	12	2025	2025	NUM
ejpam-6505	207	13	)	)	PUNCT
ejpam-6505	207	14	,	,	PUNCT
ejpam-6505	207	15	6505	6505	NUM
ejpam-6505	207	16	of	of	ADP
ejpam-6505	207	17	t̃d	t̃d	X
ejpam-6505	207	18	=	=	SYM
ejpam-6505	207	19	t∞	t∞	NOUN
ejpam-6505	208	1	+	+	CCONJ
ejpam-6505	208	2	ai	ai	VERB
ejpam-6505	208	3	k	k	PROPN
ejpam-6505	208	4	∞∑	∞∑	PROPN
ejpam-6505	208	5	n=0	n=0	NUM
ejpam-6505	208	6	(	(	PUNCT
ejpam-6505	208	7	a(ph	a(ph	NOUN
ejpam-6505	208	8	)	)	PUNCT
ejpam-6505	208	9	n	n	PRON
ejpam-6505	208	10	ξ−(n+1	ξ−(n+1	NOUN
ejpam-6505	208	11	)	)	PUNCT
ejpam-6505	209	1	+	+	CCONJ
ejpam-6505	209	2	sn(ξ))pn(ζ	sn(ξ))pn(ζ	NOUN
ejpam-6505	209	3	)	)	PUNCT
ejpam-6505	209	4	.	.	PUNCT
ejpam-6505	210	1	(	(	PUNCT
ejpam-6505	210	2	4.11	4.11	NUM
ejpam-6505	210	3	)	)	PUNCT
ejpam-6505	210	4	applying	apply	VERB
ejpam-6505	210	5	the	the	DET
ejpam-6505	210	6	boundary	boundary	ADJ
ejpam-6505	210	7	conditions	condition	NOUN
ejpam-6505	210	8	at	at	ADP
ejpam-6505	210	9	the	the	DET
ejpam-6505	210	10	droplet	droplet	ADJ
ejpam-6505	210	11	interface	interface	NOUN
ejpam-6505	210	12	(	(	PUNCT
ejpam-6505	210	13	4.3	4.3	NUM
ejpam-6505	210	14	)	)	PUNCT
ejpam-6505	210	15	,	,	PUNCT
ejpam-6505	210	16	the	the	DET
ejpam-6505	210	17	unknowns	unknown	NOUN
ejpam-6505	210	18	a	a	DET
ejpam-6505	210	19	(	(	PUNCT
ejpam-6505	210	20	ph	ph	NOUN
ejpam-6505	210	21	)	)	PUNCT
ejpam-6505	210	22	n	n	NOUN
ejpam-6505	210	23	and	and	CCONJ
ejpam-6505	210	24	b	b	X
ejpam-6505	210	25	(	(	PUNCT
ejpam-6505	210	26	ph	ph	PROPN
ejpam-6505	210	27	)	)	PUNCT
ejpam-6505	210	28	n	n	NOUN
ejpam-6505	210	29	are	be	AUX
ejpam-6505	210	30	found	find	VERB
ejpam-6505	210	31	to	to	PART
ejpam-6505	210	32	be	be	AUX
ejpam-6505	210	33	:	:	PUNCT
ejpam-6505	210	34	a(ph	a(ph	NUM
ejpam-6505	210	35	)	)	PUNCT
ejpam-6505	210	36	n	n	NOUN
ejpam-6505	210	37	=	=	SYM
ejpam-6505	210	38	nsn(1)−	nsn(1)−	PROPN
ejpam-6505	210	39	s′	s′	VERB
ejpam-6505	210	40	n(1	n(1	NOUN
ejpam-6505	210	41	)	)	PUNCT
ejpam-6505	210	42	nk	nk	PROPN
ejpam-6505	211	1	+	+	CCONJ
ejpam-6505	211	2	n+	n+	NUM
ejpam-6505	211	3	1	1	NUM
ejpam-6505	211	4	,	,	PUNCT
ejpam-6505	211	5	b(ph	b(ph	PROPN
ejpam-6505	211	6	)	)	PUNCT
ejpam-6505	211	7	n	n	PROPN
ejpam-6505	211	8	=	=	SYM
ejpam-6505	211	9	−(n+	−(n+	PROPN
ejpam-6505	211	10	1)sn(1	1)sn(1	NUM
ejpam-6505	211	11	)	)	PUNCT
ejpam-6505	211	12	+	+	CCONJ
ejpam-6505	211	13	ks′	ks′	PROPN
ejpam-6505	211	14	n(1	n(1	SYM
ejpam-6505	211	15	)	)	PUNCT
ejpam-6505	211	16	nk	nk	PROPN
ejpam-6505	212	1	+	+	CCONJ
ejpam-6505	212	2	n+	n+	NUM
ejpam-6505	212	3	1	1	NUM
ejpam-6505	212	4	,	,	PUNCT
ejpam-6505	212	5	(	(	PUNCT
ejpam-6505	212	6	4.12	4.12	NUM
ejpam-6505	212	7	)	)	PUNCT
ejpam-6505	212	8	where	where	SCONJ
ejpam-6505	212	9	,	,	PUNCT
ejpam-6505	212	10	s′	s′	ADJ
ejpam-6505	212	11	n	n	PROPN
ejpam-6505	212	12	=	=	SYM
ejpam-6505	212	13	dsn	dsn	PROPN
ejpam-6505	212	14	/	/	SYM
ejpam-6505	212	15	dξ	dξ	PROPN
ejpam-6505	212	16	and	and	CCONJ
ejpam-6505	212	17	k	k	PROPN
ejpam-6505	212	18	=	=	PUNCT
ejpam-6505	212	19	kd	kd	PROPN
ejpam-6505	212	20	/	/	SYM
ejpam-6505	212	21	kp	kp	PROPN
ejpam-6505	212	22	.	.	PUNCT
ejpam-6505	213	1	the	the	DET
ejpam-6505	213	2	first	first	ADJ
ejpam-6505	213	3	term	term	NOUN
ejpam-6505	213	4	(	(	PUNCT
ejpam-6505	213	5	at	at	ADP
ejpam-6505	213	6	n	n	NOUN
ejpam-6505	213	7	=	=	SYM
ejpam-6505	213	8	1	1	NUM
ejpam-6505	213	9	)	)	PUNCT
ejpam-6505	213	10	in	in	ADP
ejpam-6505	213	11	the	the	DET
ejpam-6505	213	12	series	series	NOUN
ejpam-6505	213	13	of	of	ADP
ejpam-6505	213	14	the	the	DET
ejpam-6505	213	15	temperature	temperature	NOUN
ejpam-6505	213	16	profile	profile	NOUN
ejpam-6505	213	17	at	at	ADP
ejpam-6505	213	18	equation	equation	NOUN
ejpam-6505	213	19	(	(	PUNCT
ejpam-6505	213	20	4.11	4.11	NUM
ejpam-6505	213	21	)	)	PUNCT
ejpam-6505	213	22	would	would	AUX
ejpam-6505	213	23	give	give	VERB
ejpam-6505	213	24	a	a	DET
ejpam-6505	213	25	(	(	PUNCT
ejpam-6505	213	26	ph	ph	NOUN
ejpam-6505	213	27	)	)	PUNCT
ejpam-6505	213	28	1	1	NUM
ejpam-6505	213	29	as	as	ADP
ejpam-6505	213	30	:	:	PUNCT
ejpam-6505	213	31	a	a	DET
ejpam-6505	213	32	(	(	PUNCT
ejpam-6505	213	33	ph	ph	NOUN
ejpam-6505	213	34	)	)	PUNCT
ejpam-6505	213	35	1	1	NUM
ejpam-6505	213	36	=	=	SYM
ejpam-6505	213	37	j1	j1	PROPN
ejpam-6505	213	38	k	k	PROPN
ejpam-6505	214	1	+	+	CCONJ
ejpam-6505	214	2	2	2	NUM
ejpam-6505	214	3	,	,	PUNCT
ejpam-6505	214	4	(	(	PUNCT
ejpam-6505	214	5	4.13	4.13	NUM
ejpam-6505	214	6	)	)	PUNCT
ejpam-6505	214	7	where	where	SCONJ
ejpam-6505	214	8	,	,	PUNCT
ejpam-6505	214	9	j1	j1	PROPN
ejpam-6505	214	10	=	=	SYM
ejpam-6505	214	11	s1(1)−	s1(1)−	PROPN
ejpam-6505	214	12	s′	s′	ADJ
ejpam-6505	214	13	1(1	1(1	NUM
ejpam-6505	214	14	)	)	PUNCT
ejpam-6505	214	15	=	=	SYM
ejpam-6505	215	1	3πνk̃a	3πνk̃a	NUM
ejpam-6505	215	2	λ	λ	SYM
ejpam-6505	215	3	∫	∫	PROPN
ejpam-6505	215	4	1	1	NUM
ejpam-6505	215	5	0	0	NUM
ejpam-6505	215	6	∫	∫	PROPN
ejpam-6505	215	7	π	π	NOUN
ejpam-6505	215	8	0	0	X
ejpam-6505	216	1	ξ3b(ξ	ξ3b(ξ	ADJ
ejpam-6505	216	2	,	,	PUNCT
ejpam-6505	216	3	θ)dθdξ	θ)dθdξ	PROPN
ejpam-6505	216	4	.	.	PUNCT
ejpam-6505	217	1	(	(	PUNCT
ejpam-6505	217	2	4.14	4.14	NUM
ejpam-6505	217	3	)	)	PUNCT
ejpam-6505	217	4	4.1	4.1	NUM
ejpam-6505	217	5	.	.	PUNCT
ejpam-6505	217	6	fluid	fluid	ADJ
ejpam-6505	217	7	flow	flow	NOUN
ejpam-6505	217	8	equations	equation	NOUN
ejpam-6505	217	9	in	in	ADP
ejpam-6505	217	10	photocapillary	photocapillary	ADJ
ejpam-6505	217	11	regime	regime	NOUN
ejpam-6505	217	12	we	we	PRON
ejpam-6505	217	13	now	now	ADV
ejpam-6505	217	14	repeat	repeat	VERB
ejpam-6505	217	15	the	the	DET
ejpam-6505	217	16	same	same	ADJ
ejpam-6505	217	17	procedure	procedure	NOUN
ejpam-6505	217	18	as	as	SCONJ
ejpam-6505	217	19	outlined	outline	VERB
ejpam-6505	217	20	in	in	ADP
ejpam-6505	217	21	section	section	NOUN
ejpam-6505	217	22	(	(	PUNCT
ejpam-6505	217	23	3.2	3.2	NUM
ejpam-6505	217	24	)	)	PUNCT
ejpam-6505	217	25	,	,	PUNCT
ejpam-6505	217	26	which	which	PRON
ejpam-6505	217	27	encompasses	encompass	VERB
ejpam-6505	217	28	applying	apply	VERB
ejpam-6505	217	29	the	the	DET
ejpam-6505	217	30	same	same	ADJ
ejpam-6505	217	31	boundary	boundary	ADJ
ejpam-6505	217	32	conditions	condition	NOUN
ejpam-6505	217	33	.	.	PUNCT
ejpam-6505	218	1	however	however	ADV
ejpam-6505	218	2	,	,	PUNCT
ejpam-6505	218	3	we	we	PRON
ejpam-6505	218	4	replace	replace	VERB
ejpam-6505	218	5	every	every	DET
ejpam-6505	218	6	occurrence	occurrence	NOUN
ejpam-6505	218	7	of	of	ADP
ejpam-6505	218	8	ψ(d	ψ(d	PROPN
ejpam-6505	218	9	)	)	PUNCT
ejpam-6505	218	10	with	with	ADP
ejpam-6505	218	11	ψ̃(d	ψ̃(d	NOUN
ejpam-6505	218	12	)	)	PUNCT
ejpam-6505	218	13	,	,	PUNCT
ejpam-6505	218	14	and	and	CCONJ
ejpam-6505	218	15	every	every	DET
ejpam-6505	218	16	ψ(p	ψ(p	NOUN
ejpam-6505	218	17	)	)	PUNCT
ejpam-6505	218	18	with	with	ADP
ejpam-6505	218	19	ψ̃(p	ψ̃(p	NOUN
ejpam-6505	218	20	)	)	PUNCT
ejpam-6505	218	21	,	,	PUNCT
ejpam-6505	218	22	this	this	DET
ejpam-6505	218	23	yields	yield	NOUN
ejpam-6505	218	24	ψ̃(d	ψ̃(d	PROPN
ejpam-6505	218	25	)	)	PUNCT
ejpam-6505	218	26	=	=	SYM
ejpam-6505	218	27	(	(	PUNCT
ejpam-6505	219	1	ã(d)r4	ã(d)r4	CCONJ
ejpam-6505	219	2	+	+	NUM
ejpam-6505	219	3	c̃(d)r2	c̃(d)r2	ADJ
ejpam-6505	219	4	)	)	PUNCT
ejpam-6505	219	5	sin2	sin2	PROPN
ejpam-6505	219	6	θ	θ	PROPN
ejpam-6505	219	7	,	,	PUNCT
ejpam-6505	219	8	(	(	PUNCT
ejpam-6505	219	9	4.15	4.15	NUM
ejpam-6505	219	10	)	)	PUNCT
ejpam-6505	219	11	ψ̃(p	ψ̃(p	PROPN
ejpam-6505	219	12	)	)	PUNCT
ejpam-6505	220	1	=	=	SYM
ejpam-6505	220	2	(	(	PUNCT
ejpam-6505	220	3	ã(p	ã(p	PROPN
ejpam-6505	220	4	)	)	PUNCT
ejpam-6505	220	5	r	r	NOUN
ejpam-6505	220	6	+	+	NUM
ejpam-6505	220	7	b̃(p	b̃(p	NOUN
ejpam-6505	220	8	)	)	PUNCT
ejpam-6505	220	9	(	(	PUNCT
ejpam-6505	220	10	1	1	NUM
ejpam-6505	220	11	r	r	NOUN
ejpam-6505	220	12	+	+	NOUN
ejpam-6505	220	13	α	α	NOUN
ejpam-6505	220	14	)	)	PUNCT
ejpam-6505	220	15	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	220	16	)	)	PUNCT
ejpam-6505	220	17	)	)	PUNCT
ejpam-6505	220	18	sin2	sin2	PROPN
ejpam-6505	220	19	θ	θ	PROPN
ejpam-6505	220	20	.	.	PUNCT
ejpam-6505	221	1	(	(	PUNCT
ejpam-6505	221	2	4.16	4.16	NUM
ejpam-6505	221	3	)	)	PUNCT
ejpam-6505	222	1	to	to	PART
ejpam-6505	222	2	determine	determine	VERB
ejpam-6505	222	3	the	the	DET
ejpam-6505	222	4	unknowns	unknown	NOUN
ejpam-6505	222	5	ã(d	ã(d	ADJ
ejpam-6505	222	6	)	)	PUNCT
ejpam-6505	222	7	,	,	PUNCT
ejpam-6505	222	8	c̃(d	c̃(d	NOUN
ejpam-6505	222	9	)	)	PUNCT
ejpam-6505	222	10	,	,	PUNCT
ejpam-6505	222	11	ã(p	ã(p	PROPN
ejpam-6505	222	12	)	)	PUNCT
ejpam-6505	222	13	,	,	PUNCT
ejpam-6505	222	14	and	and	CCONJ
ejpam-6505	222	15	b̃(p	b̃(p	PROPN
ejpam-6505	222	16	)	)	PUNCT
ejpam-6505	222	17	,	,	PUNCT
ejpam-6505	222	18	we	we	PRON
ejpam-6505	222	19	apply	apply	VERB
ejpam-6505	222	20	the	the	DET
ejpam-6505	222	21	boundary	boundary	ADJ
ejpam-6505	222	22	conditions	condition	NOUN
ejpam-6505	222	23	(	(	PUNCT
ejpam-6505	222	24	3.20)-(3.23	3.20)-(3.23	NUM
ejpam-6505	222	25	)	)	PUNCT
ejpam-6505	222	26	using	use	VERB
ejpam-6505	222	27	the	the	DET
ejpam-6505	222	28	updated	update	VERB
ejpam-6505	222	29	thermal	thermal	ADJ
ejpam-6505	222	30	distribution	distribution	NOUN
ejpam-6505	222	31	results	result	NOUN
ejpam-6505	222	32	for	for	ADP
ejpam-6505	222	33	the	the	DET
ejpam-6505	222	34	photocapillary	photocapillary	ADJ
ejpam-6505	222	35	case	case	NOUN
ejpam-6505	222	36	.	.	PUNCT
ejpam-6505	223	1	this	this	PRON
ejpam-6505	223	2	leads	lead	VERB
ejpam-6505	223	3	to	to	ADP
ejpam-6505	223	4	the	the	DET
ejpam-6505	223	5	following	follow	VERB
ejpam-6505	223	6	system	system	NOUN
ejpam-6505	223	7	of	of	ADP
ejpam-6505	223	8	four	four	NUM
ejpam-6505	223	9	simultaneous	simultaneous	ADJ
ejpam-6505	223	10	equations	equation	NOUN
ejpam-6505	223	11	:	:	PUNCT
ejpam-6505	223	12	ã(d	ã(d	ADJ
ejpam-6505	223	13	)	)	PUNCT
ejpam-6505	224	1	−	−	ADP
ejpam-6505	224	2	ã(p	ã(p	PROPN
ejpam-6505	224	3	)	)	PUNCT
ejpam-6505	224	4	+	+	NUM
ejpam-6505	224	5	c̃(d	c̃(d	NOUN
ejpam-6505	224	6	)	)	PUNCT
ejpam-6505	224	7	−	−	ADP
ejpam-6505	224	8	b̃(p)(1	b̃(p)(1	NOUN
ejpam-6505	224	9	+	+	NOUN
ejpam-6505	224	10	α	α	X
ejpam-6505	224	11	)	)	PUNCT
ejpam-6505	224	12	=	=	SYM
ejpam-6505	224	13	0	0	NUM
ejpam-6505	224	14	,	,	PUNCT
ejpam-6505	224	15	(	(	PUNCT
ejpam-6505	224	16	4.17	4.17	NUM
ejpam-6505	224	17	)	)	PUNCT
ejpam-6505	224	18	4ã(d	4ã(d	NUM
ejpam-6505	224	19	)	)	PUNCT
ejpam-6505	225	1	+	+	CCONJ
ejpam-6505	225	2	ã(p	ã(p	PROPN
ejpam-6505	225	3	)	)	PUNCT
ejpam-6505	225	4	+	+	NUM
ejpam-6505	225	5	2c̃(d	2c̃(d	NUM
ejpam-6505	225	6	)	)	PUNCT
ejpam-6505	226	1	+	+	CCONJ
ejpam-6505	226	2	b̃(p)(1	b̃(p)(1	PRON
ejpam-6505	226	3	+	+	CCONJ
ejpam-6505	226	4	α+	α+	PUNCT
ejpam-6505	226	5	α2	α2	ADV
ejpam-6505	226	6	)	)	PUNCT
ejpam-6505	226	7	=	=	SYM
ejpam-6505	226	8	0	0	NUM
ejpam-6505	226	9	,	,	PUNCT
ejpam-6505	226	10	(	(	PUNCT
ejpam-6505	226	11	4.18	4.18	NUM
ejpam-6505	226	12	)	)	PUNCT
ejpam-6505	226	13	ã(p	ã(p	PROPN
ejpam-6505	226	14	)	)	PUNCT
ejpam-6505	226	15	+	+	CCONJ
ejpam-6505	226	16	b̃(p)(1	b̃(p)(1	PRON
ejpam-6505	226	17	+	+	NOUN
ejpam-6505	226	18	α	α	X
ejpam-6505	226	19	)	)	PUNCT
ejpam-6505	226	20	=	=	SYM
ejpam-6505	226	21	−u	−u	PROPN
ejpam-6505	226	22	2	2	NUM
ejpam-6505	226	23	,	,	PUNCT
ejpam-6505	226	24	(	(	PUNCT
ejpam-6505	226	25	4.19	4.19	NUM
ejpam-6505	226	26	)	)	PUNCT
ejpam-6505	226	27	and	and	CCONJ
ejpam-6505	226	28	,	,	PUNCT
ejpam-6505	226	29	µ̃	µ̃	PROPN
ejpam-6505	226	30	[	[	X
ejpam-6505	226	31	(	(	PUNCT
ejpam-6505	226	32	6ã(p	6ã(p	NUM
ejpam-6505	226	33	)	)	PUNCT
ejpam-6505	226	34	r4	r4	NOUN
ejpam-6505	226	35	+	+	CCONJ
ejpam-6505	226	36	b̃(p	b̃(p	PROPN
ejpam-6505	226	37	)	)	PUNCT
ejpam-6505	226	38	(	(	PUNCT
ejpam-6505	226	39	6	6	NUM
ejpam-6505	226	40	r4	r4	NOUN
ejpam-6505	226	41	+	+	CCONJ
ejpam-6505	226	42	6α	6α	NUM
ejpam-6505	226	43	r3	r3	NOUN
ejpam-6505	226	44	+	+	CCONJ
ejpam-6505	226	45	3α2	3α2	NUM
ejpam-6505	226	46	r2	r2	NOUN
ejpam-6505	226	47	+	+	CCONJ
ejpam-6505	226	48	α3	α3	ADJ
ejpam-6505	226	49	r	r	NOUN
ejpam-6505	226	50	)	)	PUNCT
ejpam-6505	226	51	e−α(r−1	e−α(r−1	NOUN
ejpam-6505	226	52	)	)	PUNCT
ejpam-6505	226	53	)	)	PUNCT
ejpam-6505	226	54	sin	sin	VERB
ejpam-6505	226	55	θ	θ	NOUN
ejpam-6505	226	56	]	]	PUNCT
ejpam-6505	227	1	−µ	−µ	ADV
ejpam-6505	227	2	[	[	PUNCT
ejpam-6505	227	3	6ã(d)r	6ã(d)r	NUM
ejpam-6505	227	4	sin	sin	NOUN
ejpam-6505	227	5	θ	θ	NOUN
ejpam-6505	227	6	]	]	PUNCT
ejpam-6505	228	1	=	=	PUNCT
ejpam-6505	228	2	−	−	PROPN
ejpam-6505	229	1	(	(	PUNCT
ejpam-6505	229	2	∂γ	∂γ	PROPN
ejpam-6505	229	3	∂t	∂t	PROPN
ejpam-6505	229	4	)	)	PUNCT
ejpam-6505	229	5	1	1	NUM
ejpam-6505	229	6	r	r	NOUN
ejpam-6505	229	7	∂t̃p	∂t̃p	PROPN
ejpam-6505	230	1	∂θ	∂θ	PROPN
ejpam-6505	230	2	,	,	PUNCT
ejpam-6505	230	3	a.	a.	PROPN
ejpam-6505	230	4	s.	s.	PROPN
ejpam-6505	230	5	aamer	aamer	PROPN
ejpam-6505	230	6	,	,	PUNCT
ejpam-6505	230	7	b.	b.	PROPN
ejpam-6505	230	8	a.	a.	PROPN
ejpam-6505	230	9	ahmed	ahmed	PROPN
ejpam-6505	230	10	,	,	PUNCT
ejpam-6505	230	11	s.	s.	PROPN
ejpam-6505	230	12	a.	a.	PROPN
ejpam-6505	230	13	mahrous	mahrous	PROPN
ejpam-6505	230	14	/	/	SYM
ejpam-6505	230	15	eur	eur	PROPN
ejpam-6505	230	16	.	.	PUNCT
ejpam-6505	231	1	j.	j.	PROPN
ejpam-6505	231	2	pure	pure	PROPN
ejpam-6505	231	3	appl	appl	PROPN
ejpam-6505	231	4	.	.	PROPN
ejpam-6505	231	5	math	math	PROPN
ejpam-6505	231	6	,	,	PUNCT
ejpam-6505	231	7	18	18	NUM
ejpam-6505	231	8	(	(	PUNCT
ejpam-6505	231	9	3	3	NUM
ejpam-6505	231	10	)	)	PUNCT
ejpam-6505	231	11	(	(	PUNCT
ejpam-6505	231	12	2025	2025	NUM
ejpam-6505	231	13	)	)	PUNCT
ejpam-6505	231	14	,	,	PUNCT
ejpam-6505	231	15	6505	6505	NUM
ejpam-6505	231	16	of	of	ADP
ejpam-6505	231	17	implying	imply	VERB
ejpam-6505	231	18	the	the	DET
ejpam-6505	231	19	following	following	NOUN
ejpam-6505	231	20	:	:	PUNCT
ejpam-6505	231	21	1	1	NUM
ejpam-6505	231	22	r	r	NOUN
ejpam-6505	231	23	∂t̃p	∂t̃p	NUM
ejpam-6505	231	24	∂θ	∂θ	NOUN
ejpam-6505	231	25	=	=	PUNCT
ejpam-6505	231	26	ij1	ij1	VERB
ejpam-6505	231	27	sin	sin	NOUN
ejpam-6505	231	28	θ	θ	PROPN
ejpam-6505	231	29	k(k	k(k	NOUN
ejpam-6505	232	1	+	+	CCONJ
ejpam-6505	232	2	2)ξ3	2)ξ3	NUM
ejpam-6505	232	3	,	,	PUNCT
ejpam-6505	232	4	the	the	DET
ejpam-6505	232	5	fourth	fourth	ADJ
ejpam-6505	232	6	equation	equation	NOUN
ejpam-6505	232	7	becomes	become	VERB
ejpam-6505	232	8	:	:	PUNCT
ejpam-6505	232	9	6ã(p	6ã(p	NUM
ejpam-6505	232	10	)	)	PUNCT
ejpam-6505	233	1	+	+	CCONJ
ejpam-6505	233	2	b̃(p)(6	b̃(p)(6	ADJ
ejpam-6505	233	3	+	+	CCONJ
ejpam-6505	233	4	6α+	6α+	NUM
ejpam-6505	233	5	3α2	3α2	NUM
ejpam-6505	233	6	+	+	CCONJ
ejpam-6505	233	7	α3)−	α3)−	DET
ejpam-6505	233	8	6σã(d	6σã(d	NOUN
ejpam-6505	233	9	)	)	PUNCT
ejpam-6505	233	10	=	=	SYM
ejpam-6505	233	11	u	u	NOUN
ejpam-6505	233	12	(	(	PUNCT
ejpam-6505	233	13	0	0	NUM
ejpam-6505	233	14	)	)	PUNCT
ejpam-6505	233	15	phij1	phij1	NOUN
ejpam-6505	233	16	k(k	k(k	NOUN
ejpam-6505	233	17	+	+	CCONJ
ejpam-6505	233	18	2	2	NUM
ejpam-6505	233	19	)	)	PUNCT
ejpam-6505	233	20	,	,	PUNCT
ejpam-6505	233	21	(	(	PUNCT
ejpam-6505	233	22	4.20	4.20	NUM
ejpam-6505	233	23	)	)	PUNCT
ejpam-6505	233	24	where	where	SCONJ
ejpam-6505	233	25	σ	σ	X
ejpam-6505	233	26	=	=	SYM
ejpam-6505	233	27	µ/µ̃	µ/µ̃	PROPN
ejpam-6505	233	28	,	,	PUNCT
ejpam-6505	233	29	and	and	CCONJ
ejpam-6505	233	30	characteristic	characteristic	ADJ
ejpam-6505	233	31	velocity	velocity	NOUN
ejpam-6505	233	32	u	u	NOUN
ejpam-6505	233	33	(	(	PUNCT
ejpam-6505	233	34	0	0	NUM
ejpam-6505	233	35	)	)	PUNCT
ejpam-6505	233	36	ph	ph	NOUN
ejpam-6505	233	37	=	=	SYM
ejpam-6505	233	38	1	1	NUM
ejpam-6505	233	39	µ̃	µ̃	PROPN
ejpam-6505	233	40	(	(	PUNCT
ejpam-6505	233	41	∂γ/∂t	∂γ/∂t	PROPN
ejpam-6505	233	42	)	)	PUNCT
ejpam-6505	233	43	.	.	PUNCT
ejpam-6505	234	1	now	now	ADV
ejpam-6505	234	2	,	,	PUNCT
ejpam-6505	234	3	we	we	PRON
ejpam-6505	234	4	proceed	proceed	VERB
ejpam-6505	234	5	to	to	ADP
ejpam-6505	234	6	solving	solve	VERB
ejpam-6505	234	7	this	this	DET
ejpam-6505	234	8	linear	linear	ADJ
ejpam-6505	234	9	system	system	NOUN
ejpam-6505	234	10	of	of	ADP
ejpam-6505	234	11	equations	equation	NOUN
ejpam-6505	234	12	to	to	PART
ejpam-6505	234	13	determine	determine	VERB
ejpam-6505	234	14	the	the	DET
ejpam-6505	234	15	unknowns	unknown	NOUN
ejpam-6505	234	16	,	,	PUNCT
ejpam-6505	234	17	resulting	result	VERB
ejpam-6505	234	18	the	the	DET
ejpam-6505	234	19	following	follow	VERB
ejpam-6505	234	20	expressions	expression	NOUN
ejpam-6505	234	21	:	:	PUNCT
ejpam-6505	234	22	ã(p	ã(p	X
ejpam-6505	234	23	)	)	PUNCT
ejpam-6505	235	1	=	=	SYM
ejpam-6505	235	2	−	−	PROPN
ejpam-6505	235	3	1	1	NUM
ejpam-6505	235	4	2	2	NUM
ejpam-6505	235	5	u	u	NOUN
ejpam-6505	235	6	(	(	PUNCT
ejpam-6505	235	7	k2	k2	X
ejpam-6505	235	8	+	+	CCONJ
ejpam-6505	235	9	2k	2k	NUM
ejpam-6505	235	10	)	)	PUNCT
ejpam-6505	235	11	α3	α3	NOUN
ejpam-6505	235	12	(	(	PUNCT
ejpam-6505	235	13	4.21	4.21	NUM
ejpam-6505	235	14	)	)	PUNCT
ejpam-6505	235	15	+	+	CCONJ
ejpam-6505	235	16	(	(	PUNCT
ejpam-6505	235	17	(	(	PUNCT
ejpam-6505	235	18	3k2	3k2	NUM
ejpam-6505	235	19	+	+	CCONJ
ejpam-6505	235	20	6k)(σ	6k)(σ	NUM
ejpam-6505	235	21	+	+	NUM
ejpam-6505	235	22	1))α2	1))α2	NUM
ejpam-6505	235	23	+	+	CCONJ
ejpam-6505	235	24	(	(	PUNCT
ejpam-6505	235	25	(	(	PUNCT
ejpam-6505	235	26	9σ	9σ	NOUN
ejpam-6505	235	27	+	+	CCONJ
ejpam-6505	235	28	6)k2	6)k2	NUM
ejpam-6505	235	29	+	+	CCONJ
ejpam-6505	235	30	(	(	PUNCT
ejpam-6505	235	31	18σ	18σ	NOUN
ejpam-6505	235	32	+	+	CCONJ
ejpam-6505	235	33	12)k)(α+	12)k)(α+	NUM
ejpam-6505	235	34	1	1	NUM
ejpam-6505	235	35	)	)	PUNCT
ejpam-6505	235	36	γ3	γ3	NOUN
ejpam-6505	235	37	−	−	NOUN
ejpam-6505	235	38	1	1	NUM
ejpam-6505	235	39	2	2	NUM
ejpam-6505	235	40	u	u	NOUN
ejpam-6505	235	41	(	(	PUNCT
ejpam-6505	235	42	0	0	NUM
ejpam-6505	235	43	)	)	PUNCT
ejpam-6505	235	44	ph	ph	PROPN
ejpam-6505	235	45	2ij1(α+	2ij1(α+	PROPN
ejpam-6505	235	46	1	1	NUM
ejpam-6505	235	47	)	)	PUNCT
ejpam-6505	235	48	γ3	γ3	NOUN
ejpam-6505	235	49	,	,	PUNCT
ejpam-6505	235	50	b̃(p	b̃(p	PROPN
ejpam-6505	235	51	)	)	PUNCT
ejpam-6505	235	52	=	=	SYM
ejpam-6505	235	53	3	3	NUM
ejpam-6505	235	54	2	2	NUM
ejpam-6505	235	55	u	u	NOUN
ejpam-6505	235	56	k2(3σ	k2(3σ	ADJ
ejpam-6505	235	57	+	+	NOUN
ejpam-6505	235	58	2	2	NUM
ejpam-6505	235	59	)	)	PUNCT
ejpam-6505	235	60	+	+	CCONJ
ejpam-6505	235	61	2k(3σ	2k(3σ	NUM
ejpam-6505	235	62	+	+	CCONJ
ejpam-6505	235	63	2	2	X
ejpam-6505	235	64	)	)	PUNCT
ejpam-6505	235	65	γ3	γ3	NOUN
ejpam-6505	235	66	+	+	CCONJ
ejpam-6505	235	67	u	u	PROPN
ejpam-6505	235	68	(	(	PUNCT
ejpam-6505	235	69	0	0	NUM
ejpam-6505	235	70	)	)	PUNCT
ejpam-6505	235	71	ph	ph	NOUN
ejpam-6505	235	72	ij1	ij1	NOUN
ejpam-6505	235	73	γ3	γ3	NOUN
ejpam-6505	235	74	,	,	PUNCT
ejpam-6505	235	75	(	(	PUNCT
ejpam-6505	235	76	4.22	4.22	NUM
ejpam-6505	235	77	)	)	PUNCT
ejpam-6505	235	78	ã(d	ã(d	ADJ
ejpam-6505	235	79	)	)	PUNCT
ejpam-6505	235	80	=	=	SYM
ejpam-6505	235	81	3	3	NUM
ejpam-6505	235	82	4	4	NUM
ejpam-6505	235	83	u	u	NOUN
ejpam-6505	235	84	(	(	PUNCT
ejpam-6505	235	85	α+	α+	PROPN
ejpam-6505	235	86	1)k2	1)k2	NOUN
ejpam-6505	235	87	+	+	CCONJ
ejpam-6505	235	88	3(α+	3(α+	NUM
ejpam-6505	235	89	1)k	1)k	NUM
ejpam-6505	235	90	γ4	γ4	NOUN
ejpam-6505	235	91	−	−	NOUN
ejpam-6505	235	92	1	1	NUM
ejpam-6505	235	93	2	2	NUM
ejpam-6505	235	94	u	u	NOUN
ejpam-6505	235	95	(	(	PUNCT
ejpam-6505	235	96	0	0	NUM
ejpam-6505	235	97	)	)	PUNCT
ejpam-6505	235	98	ph	ph	NOUN
ejpam-6505	235	99	ij1	ij1	NOUN
ejpam-6505	235	100	γ4	γ4	NOUN
ejpam-6505	235	101	,	,	PUNCT
ejpam-6505	235	102	(	(	PUNCT
ejpam-6505	235	103	4.23	4.23	NUM
ejpam-6505	235	104	)	)	PUNCT
ejpam-6505	235	105	c̃(d	c̃(d	NOUN
ejpam-6505	235	106	)	)	PUNCT
ejpam-6505	235	107	=	=	SYM
ejpam-6505	235	108	−1	−1	NOUN
ejpam-6505	235	109	4	4	NUM
ejpam-6505	235	110	u	u	NOUN
ejpam-6505	235	111	(	(	PUNCT
ejpam-6505	235	112	5k2	5k2	NUM
ejpam-6505	235	113	+	+	NUM
ejpam-6505	235	114	10k)α+	10k)α+	NUM
ejpam-6505	235	115	6σk2	6σk2	NUM
ejpam-6505	235	116	+	+	CCONJ
ejpam-6505	235	117	9k2	9k2	NUM
ejpam-6505	236	1	+	+	CCONJ
ejpam-6505	236	2	12σk	12σk	ADJ
ejpam-6505	236	3	+	+	SYM
ejpam-6505	236	4	18k	18k	NOUN
ejpam-6505	236	5	γ4	γ4	VERB
ejpam-6505	236	6	+	+	CCONJ
ejpam-6505	236	7	1	1	NUM
ejpam-6505	236	8	2	2	NUM
ejpam-6505	236	9	u	u	NOUN
ejpam-6505	236	10	(	(	PUNCT
ejpam-6505	236	11	0	0	NUM
ejpam-6505	236	12	)	)	PUNCT
ejpam-6505	236	13	ph	ph	NOUN
ejpam-6505	236	14	ij1	ij1	NOUN
ejpam-6505	236	15	γ4	γ4	NOUN
ejpam-6505	236	16	,	,	PUNCT
ejpam-6505	236	17	(	(	PUNCT
ejpam-6505	236	18	4.24	4.24	NUM
ejpam-6505	236	19	)	)	PUNCT
ejpam-6505	236	20	where	where	SCONJ
ejpam-6505	236	21	,	,	PUNCT
ejpam-6505	236	22	γ3	γ3	NOUN
ejpam-6505	236	23	=	=	PUNCT
ejpam-6505	236	24	α2k(α(k	α2k(α(k	NOUN
ejpam-6505	237	1	+	+	CCONJ
ejpam-6505	237	2	2	2	X
ejpam-6505	237	3	)	)	PUNCT
ejpam-6505	237	4	+	+	NUM
ejpam-6505	237	5	3k(σ	3k(σ	NUM
ejpam-6505	237	6	+	+	CCONJ
ejpam-6505	237	7	1	1	NUM
ejpam-6505	237	8	)	)	PUNCT
ejpam-6505	237	9	+	+	CCONJ
ejpam-6505	237	10	6(σ	6(σ	NUM
ejpam-6505	237	11	+	+	NUM
ejpam-6505	237	12	1	1	NUM
ejpam-6505	237	13	)	)	PUNCT
ejpam-6505	237	14	)	)	PUNCT
ejpam-6505	238	1	,	,	PUNCT
ejpam-6505	238	2	γ4	γ4	NOUN
ejpam-6505	238	3	=	=	SYM
ejpam-6505	238	4	k(α(k	k(α(k	ADJ
ejpam-6505	238	5	+	+	CCONJ
ejpam-6505	238	6	2	2	NUM
ejpam-6505	238	7	)	)	PUNCT
ejpam-6505	238	8	+	+	NUM
ejpam-6505	238	9	3k(σ	3k(σ	NUM
ejpam-6505	238	10	+	+	CCONJ
ejpam-6505	238	11	1	1	NUM
ejpam-6505	238	12	)	)	PUNCT
ejpam-6505	239	1	+	+	CCONJ
ejpam-6505	239	2	6(σ	6(σ	NUM
ejpam-6505	239	3	+	+	NUM
ejpam-6505	239	4	1	1	NUM
ejpam-6505	239	5	)	)	PUNCT
ejpam-6505	239	6	)	)	PUNCT
ejpam-6505	239	7	.	.	PUNCT
ejpam-6505	240	1	4.2	4.2	NUM
ejpam-6505	240	2	.	.	PUNCT
ejpam-6505	240	3	photocapillary	photocapillary	ADJ
ejpam-6505	240	4	velocity	velocity	NOUN
ejpam-6505	240	5	of	of	ADP
ejpam-6505	240	6	the	the	DET
ejpam-6505	240	7	droplet	droplet	NOUN
ejpam-6505	240	8	again	again	ADV
ejpam-6505	240	9	,	,	PUNCT
ejpam-6505	240	10	we	we	PRON
ejpam-6505	240	11	repeat	repeat	VERB
ejpam-6505	240	12	the	the	DET
ejpam-6505	240	13	same	same	ADJ
ejpam-6505	240	14	procedure	procedure	NOUN
ejpam-6505	240	15	described	describe	VERB
ejpam-6505	240	16	in	in	ADP
ejpam-6505	240	17	section	section	NOUN
ejpam-6505	240	18	(	(	PUNCT
ejpam-6505	240	19	3.3	3.3	NUM
ejpam-6505	240	20	)	)	PUNCT
ejpam-6505	240	21	to	to	PART
ejpam-6505	240	22	derive	derive	VERB
ejpam-6505	240	23	the	the	DET
ejpam-6505	240	24	following	follow	VERB
ejpam-6505	240	25	relation	relation	NOUN
ejpam-6505	240	26	:	:	PUNCT
ejpam-6505	240	27	u+3ã(p	u+3ã(p	NOUN
ejpam-6505	240	28	)	)	PUNCT
ejpam-6505	240	29	=	=	SYM
ejpam-6505	241	1	0	0	X
ejpam-6505	241	2	.	.	PUNCT
ejpam-6505	242	1	from	from	ADP
ejpam-6505	242	2	this	this	PRON
ejpam-6505	242	3	,	,	PUNCT
ejpam-6505	242	4	we	we	PRON
ejpam-6505	242	5	obtain	obtain	VERB
ejpam-6505	242	6	the	the	DET
ejpam-6505	242	7	expression	expression	NOUN
ejpam-6505	242	8	for	for	ADP
ejpam-6505	242	9	the	the	DET
ejpam-6505	242	10	photocapillary	photocapillary	ADJ
ejpam-6505	242	11	velocity	velocity	NOUN
ejpam-6505	242	12	as	as	ADP
ejpam-6505	242	13	:	:	PUNCT
ejpam-6505	242	14	uph	uph	PROPN
ejpam-6505	242	15	=	=	PROPN
ejpam-6505	242	16	6ij1(1	6ij1(1	NUM
ejpam-6505	242	17	+	+	SYM
ejpam-6505	242	18	α	α	X
ejpam-6505	242	19	)	)	PUNCT
ejpam-6505	242	20	(	(	PUNCT
ejpam-6505	242	21	α3	α3	NOUN
ejpam-6505	242	22	+	+	NOUN
ejpam-6505	242	23	3α2(σ	3α2(σ	NUM
ejpam-6505	242	24	+	+	NUM
ejpam-6505	242	25	1	1	NUM
ejpam-6505	242	26	)	)	PUNCT
ejpam-6505	242	27	+	+	CCONJ
ejpam-6505	243	1	9(α+	9(α+	NUM
ejpam-6505	243	2	1)(3σ	1)(3σ	NUM
ejpam-6505	243	3	+	+	CCONJ
ejpam-6505	243	4	2	2	NUM
ejpam-6505	243	5	)	)	PUNCT
ejpam-6505	243	6	)	)	PUNCT
ejpam-6505	244	1	k(k	k(k	NOUN
ejpam-6505	244	2	+	+	CCONJ
ejpam-6505	244	3	2	2	X
ejpam-6505	244	4	)	)	PUNCT
ejpam-6505	244	5	u	u	NOUN
ejpam-6505	244	6	(	(	PUNCT
ejpam-6505	244	7	0	0	NUM
ejpam-6505	244	8	)	)	PUNCT
ejpam-6505	244	9	ph	ph	NOUN
ejpam-6505	244	10	,	,	PUNCT
ejpam-6505	244	11	(	(	PUNCT
ejpam-6505	244	12	4.25	4.25	NUM
ejpam-6505	244	13	)	)	PUNCT
ejpam-6505	244	14	the	the	DET
ejpam-6505	244	15	normalized	normalize	VERB
ejpam-6505	244	16	photocapillary	photocapillary	ADJ
ejpam-6505	244	17	velocity	velocity	NOUN
ejpam-6505	244	18	is	be	AUX
ejpam-6505	244	19	then	then	ADV
ejpam-6505	244	20	given	give	VERB
ejpam-6505	244	21	by	by	ADP
ejpam-6505	244	22	:	:	PUNCT
ejpam-6505	244	23	u∗	u∗	ADJ
ejpam-6505	244	24	ph	ph	PROPN
ejpam-6505	244	25	=	=	SYM
ejpam-6505	244	26	uph	uph	PROPN
ejpam-6505	244	27	ij1u	ij1u	PROPN
ejpam-6505	244	28	(	(	PUNCT
ejpam-6505	244	29	0	0	NUM
ejpam-6505	244	30	)	)	PUNCT
ejpam-6505	244	31	ph	ph	NOUN
ejpam-6505	244	32	=	=	SYM
ejpam-6505	244	33	6(1	6(1	PROPN
ejpam-6505	244	34	+	+	CCONJ
ejpam-6505	244	35	α	α	X
ejpam-6505	244	36	)	)	PUNCT
ejpam-6505	244	37	(	(	PUNCT
ejpam-6505	244	38	α3	α3	NOUN
ejpam-6505	244	39	+	+	NOUN
ejpam-6505	244	40	3α2(σ	3α2(σ	NUM
ejpam-6505	244	41	+	+	NUM
ejpam-6505	244	42	1	1	NUM
ejpam-6505	244	43	)	)	PUNCT
ejpam-6505	244	44	+	+	CCONJ
ejpam-6505	244	45	9(α+	9(α+	NUM
ejpam-6505	244	46	1)(3σ	1)(3σ	NUM
ejpam-6505	244	47	+	+	CCONJ
ejpam-6505	244	48	2	2	NUM
ejpam-6505	244	49	)	)	PUNCT
ejpam-6505	244	50	)	)	PUNCT
ejpam-6505	245	1	k(k	k(k	NOUN
ejpam-6505	245	2	+	+	CCONJ
ejpam-6505	245	3	2	2	NUM
ejpam-6505	245	4	)	)	PUNCT
ejpam-6505	245	5	.	.	PUNCT
ejpam-6505	246	1	(	(	PUNCT
ejpam-6505	246	2	4.26	4.26	NUM
ejpam-6505	246	3	)	)	PUNCT
ejpam-6505	246	4	for	for	ADP
ejpam-6505	246	5	a	a	DET
ejpam-6505	246	6	clear	clear	ADJ
ejpam-6505	246	7	fluid	fluid	NOUN
ejpam-6505	246	8	(	(	PUNCT
ejpam-6505	246	9	α	α	NOUN
ejpam-6505	246	10	=	=	NOUN
ejpam-6505	246	11	0	0	NUM
ejpam-6505	246	12	)	)	PUNCT
ejpam-6505	246	13	,	,	PUNCT
ejpam-6505	246	14	this	this	DET
ejpam-6505	246	15	simplifies	simplifie	NOUN
ejpam-6505	246	16	to	to	PART
ejpam-6505	246	17	:	:	PUNCT
ejpam-6505	246	18	u	u	NOUN
ejpam-6505	246	19	(	(	PUNCT
ejpam-6505	246	20	ph	ph	PROPN
ejpam-6505	246	21	)	)	PUNCT
ejpam-6505	246	22	0	0	NUM
ejpam-6505	247	1	=	=	SYM
ejpam-6505	247	2	6ij1u	6ij1u	NUM
ejpam-6505	247	3	(	(	PUNCT
ejpam-6505	247	4	0	0	NUM
ejpam-6505	247	5	)	)	PUNCT
ejpam-6505	247	6	ph	ph	NOUN
ejpam-6505	247	7	(	(	PUNCT
ejpam-6505	247	8	27σ	27σ	NUM
ejpam-6505	247	9	+	+	CCONJ
ejpam-6505	247	10	18)k(k	18)k(k	NUM
ejpam-6505	248	1	+	+	CCONJ
ejpam-6505	248	2	2	2	NUM
ejpam-6505	248	3	)	)	PUNCT
ejpam-6505	248	4	.	.	PUNCT
ejpam-6505	249	1	(	(	PUNCT
ejpam-6505	249	2	4.27	4.27	NUM
ejpam-6505	249	3	)	)	PUNCT
ejpam-6505	249	4	a.	a.	PROPN
ejpam-6505	249	5	s.	s.	PROPN
ejpam-6505	249	6	aamer	aamer	PROPN
ejpam-6505	249	7	,	,	PUNCT
ejpam-6505	249	8	b.	b.	PROPN
ejpam-6505	249	9	a.	a.	PROPN
ejpam-6505	249	10	ahmed	ahmed	PROPN
ejpam-6505	249	11	,	,	PUNCT
ejpam-6505	249	12	s.	s.	PROPN
ejpam-6505	249	13	a.	a.	PROPN
ejpam-6505	249	14	mahrous	mahrous	PROPN
ejpam-6505	249	15	/	/	SYM
ejpam-6505	249	16	eur	eur	PROPN
ejpam-6505	249	17	.	.	PUNCT
ejpam-6505	250	1	j.	j.	PROPN
ejpam-6505	250	2	pure	pure	PROPN
ejpam-6505	250	3	appl	appl	PROPN
ejpam-6505	250	4	.	.	PROPN
ejpam-6505	250	5	math	math	PROPN
ejpam-6505	250	6	,	,	PUNCT
ejpam-6505	250	7	18	18	NUM
ejpam-6505	250	8	(	(	PUNCT
ejpam-6505	250	9	3	3	NUM
ejpam-6505	250	10	)	)	PUNCT
ejpam-6505	250	11	(	(	PUNCT
ejpam-6505	250	12	2025	2025	NUM
ejpam-6505	250	13	)	)	PUNCT
ejpam-6505	250	14	,	,	PUNCT
ejpam-6505	250	15	6505	6505	NUM
ejpam-6505	250	16	of	of	ADP
ejpam-6505	250	17	4.3	4.3	NUM
ejpam-6505	250	18	.	.	PUNCT
ejpam-6505	250	19	photocapillary	photocapillary	ADJ
ejpam-6505	250	20	force	force	NOUN
ejpam-6505	250	21	acting	act	VERB
ejpam-6505	250	22	on	on	ADP
ejpam-6505	250	23	the	the	DET
ejpam-6505	250	24	droplet	droplet	NOUN
ejpam-6505	250	25	to	to	PART
ejpam-6505	250	26	determine	determine	VERB
ejpam-6505	250	27	the	the	DET
ejpam-6505	250	28	photocapillary	photocapillary	ADJ
ejpam-6505	250	29	force	force	NOUN
ejpam-6505	250	30	,	,	PUNCT
ejpam-6505	250	31	we	we	PRON
ejpam-6505	250	32	follow	follow	VERB
ejpam-6505	250	33	the	the	DET
ejpam-6505	250	34	same	same	ADJ
ejpam-6505	250	35	steps	step	NOUN
ejpam-6505	250	36	as	as	ADP
ejpam-6505	250	37	in	in	ADP
ejpam-6505	250	38	section	section	NOUN
ejpam-6505	250	39	(	(	PUNCT
ejpam-6505	250	40	3.4	3.4	NUM
ejpam-6505	250	41	)	)	PUNCT
ejpam-6505	250	42	.	.	PUNCT
ejpam-6505	251	1	we	we	PRON
ejpam-6505	251	2	assume	assume	VERB
ejpam-6505	251	3	that	that	SCONJ
ejpam-6505	251	4	the	the	DET
ejpam-6505	251	5	particle	particle	NOUN
ejpam-6505	251	6	velocity	velocity	NOUN
ejpam-6505	251	7	vanishes	vanish	VERB
ejpam-6505	251	8	(	(	PUNCT
ejpam-6505	251	9	i.e.	i.e.	X
ejpam-6505	251	10	,	,	PUNCT
ejpam-6505	251	11	u	u	NOUN
ejpam-6505	251	12	=	=	NOUN
ejpam-6505	251	13	0	0	NUM
ejpam-6505	251	14	)	)	PUNCT
ejpam-6505	251	15	in	in	ADP
ejpam-6505	251	16	the	the	DET
ejpam-6505	251	17	boundary	boundary	ADJ
ejpam-6505	251	18	condition	condition	NOUN
ejpam-6505	251	19	(	(	PUNCT
ejpam-6505	251	20	3.22	3.22	NUM
ejpam-6505	251	21	)	)	PUNCT
ejpam-6505	251	22	,	,	PUNCT
ejpam-6505	251	23	hence	hence	ADV
ejpam-6505	251	24	we	we	PRON
ejpam-6505	251	25	solve	solve	VERB
ejpam-6505	251	26	equations	equation	NOUN
ejpam-6505	251	27	(	(	PUNCT
ejpam-6505	251	28	4.17)–(4.20	4.17)–(4.20	NUM
ejpam-6505	251	29	)	)	PUNCT
ejpam-6505	251	30	under	under	ADP
ejpam-6505	251	31	this	this	DET
ejpam-6505	251	32	new	new	ADJ
ejpam-6505	251	33	condition	condition	NOUN
ejpam-6505	251	34	.	.	PUNCT
ejpam-6505	252	1	consequently	consequently	ADV
ejpam-6505	252	2	,	,	PUNCT
ejpam-6505	252	3	we	we	PRON
ejpam-6505	252	4	obtain	obtain	VERB
ejpam-6505	252	5	ã(p	ã(p	NOUN
ejpam-6505	252	6	)	)	PUNCT
ejpam-6505	252	7	in	in	ADP
ejpam-6505	252	8	the	the	DET
ejpam-6505	252	9	form	form	NOUN
ejpam-6505	252	10	:	:	PUNCT
ejpam-6505	252	11	ã(p	ã(p	X
ejpam-6505	252	12	)	)	PUNCT
ejpam-6505	252	13	=	=	SYM
ejpam-6505	252	14	ij1(1	ij1(1	X
ejpam-6505	252	15	+	+	X
ejpam-6505	252	16	α	α	X
ejpam-6505	252	17	)	)	PUNCT
ejpam-6505	252	18	γ3	γ3	NOUN
ejpam-6505	252	19	u	u	SYM
ejpam-6505	252	20	(	(	PUNCT
ejpam-6505	252	21	0	0	NUM
ejpam-6505	252	22	)	)	PUNCT
ejpam-6505	252	23	ph	ph	NOUN
ejpam-6505	252	24	.	.	PUNCT
ejpam-6505	253	1	(	(	PUNCT
ejpam-6505	253	2	4.28	4.28	NUM
ejpam-6505	253	3	)	)	PUNCT
ejpam-6505	253	4	inserting	insert	VERB
ejpam-6505	253	5	(	(	PUNCT
ejpam-6505	253	6	u	u	NOUN
ejpam-6505	253	7	=	=	NOUN
ejpam-6505	253	8	0	0	NUM
ejpam-6505	253	9	)	)	PUNCT
ejpam-6505	253	10	into	into	ADP
ejpam-6505	253	11	equation	equation	NOUN
ejpam-6505	253	12	(	(	PUNCT
ejpam-6505	253	13	3.43	3.43	NUM
ejpam-6505	253	14	)	)	PUNCT
ejpam-6505	253	15	,	,	PUNCT
ejpam-6505	253	16	the	the	DET
ejpam-6505	253	17	resulting	result	VERB
ejpam-6505	253	18	photocapillary	photocapillary	ADJ
ejpam-6505	253	19	force	force	NOUN
ejpam-6505	253	20	is	be	AUX
ejpam-6505	253	21	given	give	VERB
ejpam-6505	253	22	by	by	ADP
ejpam-6505	253	23	:	:	PUNCT
ejpam-6505	253	24	fph	fph	NOUN
ejpam-6505	253	25	=	=	SYM
ejpam-6505	253	26	4ij1(1	4ij1(1	NUM
ejpam-6505	253	27	+	+	CCONJ
ejpam-6505	253	28	α	α	X
ejpam-6505	253	29	)	)	PUNCT
ejpam-6505	253	30	γ4	γ4	NOUN
ejpam-6505	253	31	u	u	NOUN
ejpam-6505	253	32	(	(	PUNCT
ejpam-6505	253	33	0	0	NUM
ejpam-6505	253	34	)	)	PUNCT
ejpam-6505	253	35	ph	ph	NOUN
ejpam-6505	253	36	.	.	PUNCT
ejpam-6505	254	1	(	(	PUNCT
ejpam-6505	254	2	4.29	4.29	NUM
ejpam-6505	254	3	)	)	PUNCT
ejpam-6505	254	4	and	and	CCONJ
ejpam-6505	254	5	the	the	DET
ejpam-6505	254	6	normalized	normalize	VERB
ejpam-6505	254	7	photocapillary	photocapillary	ADJ
ejpam-6505	254	8	force	force	NOUN
ejpam-6505	254	9	is	be	AUX
ejpam-6505	254	10	simply	simply	ADV
ejpam-6505	254	11	:	:	PUNCT
ejpam-6505	254	12	f	f	PROPN
ejpam-6505	254	13	∗	∗	NOUN
ejpam-6505	254	14	ph	ph	X
ejpam-6505	254	15	=	=	SYM
ejpam-6505	254	16	1	1	NUM
ejpam-6505	254	17	+	+	NUM
ejpam-6505	254	18	α	α	NOUN
ejpam-6505	254	19	γ4	γ4	NOUN
ejpam-6505	254	20	.	.	PUNCT
ejpam-6505	255	1	(	(	PUNCT
ejpam-6505	255	2	4.30	4.30	NUM
ejpam-6505	255	3	)	)	PUNCT
ejpam-6505	255	4	5	5	NUM
ejpam-6505	255	5	.	.	NOUN
ejpam-6505	255	6	results	result	NOUN
ejpam-6505	255	7	and	and	CCONJ
ejpam-6505	255	8	discussion	discussion	NOUN
ejpam-6505	255	9	5.1	5.1	NUM
ejpam-6505	255	10	.	.	PUNCT
ejpam-6505	256	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	256	2	in	in	ADP
ejpam-6505	256	3	this	this	DET
ejpam-6505	256	4	section	section	NOUN
ejpam-6505	256	5	,	,	PUNCT
ejpam-6505	256	6	we	we	PRON
ejpam-6505	256	7	present	present	VERB
ejpam-6505	256	8	the	the	DET
ejpam-6505	256	9	results	result	NOUN
ejpam-6505	256	10	of	of	ADP
ejpam-6505	256	11	the	the	DET
ejpam-6505	256	12	normalized	normalize	VERB
ejpam-6505	256	13	thermocapillary	thermocapillary	ADJ
ejpam-6505	256	14	velocity	velocity	NOUN
ejpam-6505	256	15	u∗	u∗	NOUN
ejpam-6505	256	16	t	t	NOUN
ejpam-6505	256	17	given	give	VERB
ejpam-6505	256	18	by	by	ADP
ejpam-6505	256	19	(	(	PUNCT
ejpam-6505	256	20	3.45	3.45	NUM
ejpam-6505	256	21	)	)	PUNCT
ejpam-6505	256	22	,	,	PUNCT
ejpam-6505	256	23	and	and	CCONJ
ejpam-6505	256	24	the	the	DET
ejpam-6505	256	25	normalized	normalize	VERB
ejpam-6505	256	26	thermocapillary	thermocapillary	ADJ
ejpam-6505	256	27	force	force	NOUN
ejpam-6505	256	28	f	f	PROPN
ejpam-6505	256	29	∗	∗	NOUN
ejpam-6505	256	30	t	t	NOUN
ejpam-6505	256	31	given	give	VERB
ejpam-6505	256	32	by	by	ADP
ejpam-6505	256	33	(	(	PUNCT
ejpam-6505	256	34	3.51	3.51	NUM
ejpam-6505	256	35	)	)	PUNCT
ejpam-6505	256	36	of	of	ADP
ejpam-6505	256	37	a	a	DET
ejpam-6505	256	38	spherical	spherical	ADJ
ejpam-6505	256	39	droplet	droplet	NOUN
ejpam-6505	256	40	embedded	embed	VERB
ejpam-6505	256	41	in	in	ADP
ejpam-6505	256	42	a	a	DET
ejpam-6505	256	43	porous	porous	ADJ
ejpam-6505	256	44	medium	medium	NOUN
ejpam-6505	256	45	.	.	PUNCT
ejpam-6505	257	1	the	the	DET
ejpam-6505	257	2	parameters	parameter	NOUN
ejpam-6505	257	3	of	of	ADP
ejpam-6505	257	4	the	the	DET
ejpam-6505	257	5	problem	problem	NOUN
ejpam-6505	257	6	are	be	AUX
ejpam-6505	257	7	as	as	SCONJ
ejpam-6505	257	8	follows	follow	VERB
ejpam-6505	257	9	:	:	PUNCT
ejpam-6505	258	1	1	1	X
ejpam-6505	258	2	.	.	PUNCT
ejpam-6505	258	3	the	the	DET
ejpam-6505	258	4	permeability	permeability	NOUN
ejpam-6505	258	5	of	of	ADP
ejpam-6505	258	6	the	the	DET
ejpam-6505	258	7	porous	porous	ADJ
ejpam-6505	258	8	medium	medium	NOUN
ejpam-6505	258	9	that	that	PRON
ejpam-6505	258	10	characterize	characterize	VERB
ejpam-6505	258	11	the	the	DET
ejpam-6505	258	12	nature	nature	NOUN
ejpam-6505	258	13	of	of	ADP
ejpam-6505	258	14	the	the	DET
ejpam-6505	258	15	porous	porous	ADJ
ejpam-6505	258	16	medium	medium	NOUN
ejpam-6505	258	17	,	,	PUNCT
ejpam-6505	258	18	α	α	NOUN
ejpam-6505	258	19	=	=	NOUN
ejpam-6505	258	20	√	√	NUM
ejpam-6505	258	21	µa2/µ̃k	µa2/µ̃k	NOUN
ejpam-6505	258	22	.	.	PUNCT
ejpam-6505	259	1	values	value	NOUN
ejpam-6505	259	2	of	of	ADP
ejpam-6505	259	3	α	α	NOUN
ejpam-6505	259	4	<	<	X
ejpam-6505	259	5	<	<	X
ejpam-6505	259	6	1	1	NUM
ejpam-6505	259	7	means	mean	VERB
ejpam-6505	259	8	high	high	ADJ
ejpam-6505	259	9	permeability	permeability	NOUN
ejpam-6505	259	10	medium	medium	NOUN
ejpam-6505	259	11	,	,	PUNCT
ejpam-6505	259	12	that	that	PRON
ejpam-6505	259	13	is	is	ADV
ejpam-6505	259	14	k	k	X
ejpam-6505	259	15	>	>	X
ejpam-6505	259	16	>	>	X
ejpam-6505	259	17	1	1	NUM
ejpam-6505	259	18	,	,	PUNCT
ejpam-6505	259	19	with	with	ADP
ejpam-6505	259	20	α	α	NOUN
ejpam-6505	259	21	=	=	SYM
ejpam-6505	259	22	0	0	NUM
ejpam-6505	259	23	representing	represent	VERB
ejpam-6505	259	24	a	a	DET
ejpam-6505	259	25	viscous	viscous	ADJ
ejpam-6505	259	26	clear	clear	ADJ
ejpam-6505	259	27	fluid	fluid	NOUN
ejpam-6505	259	28	,	,	PUNCT
ejpam-6505	259	29	and	and	CCONJ
ejpam-6505	259	30	α	α	X
ejpam-6505	259	31	>	>	X
ejpam-6505	259	32	>	>	X
ejpam-6505	259	33	1	1	NUM
ejpam-6505	259	34	reduces	reduce	VERB
ejpam-6505	259	35	the	the	DET
ejpam-6505	259	36	medium	medium	NOUN
ejpam-6505	259	37	to	to	ADP
ejpam-6505	259	38	a	a	DET
ejpam-6505	259	39	darcian	darcian	ADJ
ejpam-6505	259	40	medium	medium	NOUN
ejpam-6505	259	41	of	of	ADP
ejpam-6505	259	42	low	low	ADJ
ejpam-6505	259	43	permeability	permeability	NOUN
ejpam-6505	260	1	k	k	X
ejpam-6505	260	2	<	<	X
ejpam-6505	260	3	<	<	X
ejpam-6505	260	4	1	1	NUM
ejpam-6505	260	5	.	.	NOUN
ejpam-6505	260	6	2	2	NUM
ejpam-6505	260	7	.	.	X
ejpam-6505	261	1	the	the	DET
ejpam-6505	261	2	viscosity	viscosity	NOUN
ejpam-6505	261	3	ratio	ratio	NOUN
ejpam-6505	261	4	σ	σ	PROPN
ejpam-6505	261	5	=	=	SYM
ejpam-6505	261	6	µ/µ̃	µ/µ̃	PROPN
ejpam-6505	261	7	,	,	PUNCT
ejpam-6505	261	8	which	which	PRON
ejpam-6505	261	9	represents	represent	VERB
ejpam-6505	261	10	the	the	DET
ejpam-6505	261	11	ratio	ratio	NOUN
ejpam-6505	261	12	between	between	ADP
ejpam-6505	261	13	the	the	DET
ejpam-6505	261	14	viscosity	viscosity	NOUN
ejpam-6505	261	15	of	of	ADP
ejpam-6505	261	16	the	the	DET
ejpam-6505	261	17	fluid	fluid	NOUN
ejpam-6505	261	18	inside	inside	ADP
ejpam-6505	261	19	the	the	DET
ejpam-6505	261	20	droplet	droplet	NOUN
ejpam-6505	261	21	and	and	CCONJ
ejpam-6505	261	22	the	the	DET
ejpam-6505	261	23	effective	effective	ADJ
ejpam-6505	261	24	viscosity	viscosity	NOUN
ejpam-6505	261	25	of	of	ADP
ejpam-6505	261	26	the	the	DET
ejpam-6505	261	27	porous	porous	ADJ
ejpam-6505	261	28	medium	medium	NOUN
ejpam-6505	261	29	,	,	PUNCT
ejpam-6505	261	30	0	0	NUM
ejpam-6505	261	31	≤	≤	NUM
ejpam-6505	261	32	σ	σ	NOUN
ejpam-6505	261	33	<	<	X
ejpam-6505	261	34	∞.	∞.	PROPN
ejpam-6505	261	35	the	the	DET
ejpam-6505	261	36	value	value	NOUN
ejpam-6505	261	37	σ	σ	PROPN
ejpam-6505	261	38	=	=	SYM
ejpam-6505	261	39	0	0	PUNCT
ejpam-6505	261	40	represents	represent	VERB
ejpam-6505	261	41	a	a	DET
ejpam-6505	261	42	bubble	bubble	NOUN
ejpam-6505	261	43	embedded	embed	VERB
ejpam-6505	261	44	in	in	ADP
ejpam-6505	261	45	a	a	DET
ejpam-6505	261	46	porous	porous	ADJ
ejpam-6505	261	47	medium	medium	NOUN
ejpam-6505	261	48	,	,	PUNCT
ejpam-6505	261	49	while	while	SCONJ
ejpam-6505	261	50	σ	σ	PROPN
ejpam-6505	261	51	→	→	SYM
ejpam-6505	261	52	∞	∞	PROPN
ejpam-6505	261	53	represents	represent	VERB
ejpam-6505	261	54	a	a	DET
ejpam-6505	261	55	rigid	rigid	ADJ
ejpam-6505	261	56	particle	particle	NOUN
ejpam-6505	261	57	.	.	PUNCT
ejpam-6505	262	1	3	3	X
ejpam-6505	262	2	.	.	X
ejpam-6505	262	3	the	the	DET
ejpam-6505	262	4	conductivity	conductivity	NOUN
ejpam-6505	262	5	ratio	ratio	NOUN
ejpam-6505	262	6	k	k	PROPN
ejpam-6505	262	7	=	=	PUNCT
ejpam-6505	262	8	kd	kd	PROPN
ejpam-6505	262	9	/	/	SYM
ejpam-6505	262	10	kp	kp	PROPN
ejpam-6505	262	11	,	,	PUNCT
ejpam-6505	262	12	which	which	PRON
ejpam-6505	262	13	represents	represent	VERB
ejpam-6505	262	14	the	the	DET
ejpam-6505	262	15	ratio	ratio	NOUN
ejpam-6505	262	16	between	between	ADP
ejpam-6505	262	17	the	the	DET
ejpam-6505	262	18	thermal	thermal	ADJ
ejpam-6505	262	19	conductivity	conductivity	NOUN
ejpam-6505	262	20	of	of	ADP
ejpam-6505	262	21	the	the	DET
ejpam-6505	262	22	fluid	fluid	NOUN
ejpam-6505	262	23	inside	inside	ADP
ejpam-6505	262	24	the	the	DET
ejpam-6505	262	25	droplet	droplet	NOUN
ejpam-6505	262	26	and	and	CCONJ
ejpam-6505	262	27	the	the	DET
ejpam-6505	262	28	overall	overall	ADJ
ejpam-6505	262	29	thermal	thermal	ADJ
ejpam-6505	262	30	conductivity	conductivity	NOUN
ejpam-6505	262	31	of	of	ADP
ejpam-6505	262	32	the	the	DET
ejpam-6505	262	33	porous	porous	ADJ
ejpam-6505	262	34	medium	medium	NOUN
ejpam-6505	262	35	.	.	PUNCT
ejpam-6505	263	1	note	note	VERB
ejpam-6505	263	2	that	that	SCONJ
ejpam-6505	263	3	the	the	DET
ejpam-6505	263	4	value	value	NOUN
ejpam-6505	263	5	of	of	ADP
ejpam-6505	263	6	k	k	PROPN
ejpam-6505	263	7	=	=	SYM
ejpam-6505	263	8	0	0	PROPN
ejpam-6505	263	9	,	,	PUNCT
ejpam-6505	263	10	which	which	PRON
ejpam-6505	263	11	does	do	AUX
ejpam-6505	263	12	not	not	PART
ejpam-6505	263	13	exist	exist	VERB
ejpam-6505	263	14	in	in	ADP
ejpam-6505	263	15	practice	practice	NOUN
ejpam-6505	263	16	,	,	PUNCT
ejpam-6505	263	17	is	be	AUX
ejpam-6505	263	18	covered	cover	VERB
ejpam-6505	263	19	in	in	ADP
ejpam-6505	263	20	our	our	PRON
ejpam-6505	263	21	graphs	graph	NOUN
ejpam-6505	263	22	for	for	ADP
ejpam-6505	263	23	comparison	comparison	NOUN
ejpam-6505	263	24	purposes	purpose	NOUN
ejpam-6505	263	25	,	,	PUNCT
ejpam-6505	263	26	despite	despite	SCONJ
ejpam-6505	263	27	its	its	PRON
ejpam-6505	263	28	non	non	ADJ
ejpam-6505	263	29	-	-	NOUN
ejpam-6505	263	30	existence	existence	NOUN
ejpam-6505	263	31	in	in	ADP
ejpam-6505	263	32	practice	practice	NOUN
ejpam-6505	263	33	.	.	PUNCT
ejpam-6505	264	1	a.	a.	PROPN
ejpam-6505	264	2	s.	s.	PROPN
ejpam-6505	264	3	aamer	aamer	PROPN
ejpam-6505	264	4	,	,	PUNCT
ejpam-6505	264	5	b.	b.	PROPN
ejpam-6505	264	6	a.	a.	PROPN
ejpam-6505	264	7	ahmed	ahmed	PROPN
ejpam-6505	264	8	,	,	PUNCT
ejpam-6505	264	9	s.	s.	PROPN
ejpam-6505	264	10	a.	a.	PROPN
ejpam-6505	264	11	mahrous	mahrous	PROPN
ejpam-6505	264	12	/	/	SYM
ejpam-6505	264	13	eur	eur	PROPN
ejpam-6505	264	14	.	.	PUNCT
ejpam-6505	265	1	j.	j.	PROPN
ejpam-6505	265	2	pure	pure	PROPN
ejpam-6505	265	3	appl	appl	PROPN
ejpam-6505	265	4	.	.	PROPN
ejpam-6505	265	5	math	math	PROPN
ejpam-6505	265	6	,	,	PUNCT
ejpam-6505	265	7	18	18	NUM
ejpam-6505	265	8	(	(	PUNCT
ejpam-6505	265	9	3	3	NUM
ejpam-6505	265	10	)	)	PUNCT
ejpam-6505	265	11	(	(	PUNCT
ejpam-6505	265	12	2025	2025	NUM
ejpam-6505	265	13	)	)	PUNCT
ejpam-6505	265	14	,	,	PUNCT
ejpam-6505	265	15	6505	6505	NUM
ejpam-6505	265	16	of	of	ADP
ejpam-6505	265	17	figure	figure	NOUN
ejpam-6505	265	18	2	2	NUM
ejpam-6505	265	19	:	:	PUNCT
ejpam-6505	265	20	normalized	normalize	VERB
ejpam-6505	265	21	thermocapillary	thermocapillary	ADJ
ejpam-6505	265	22	velocity	velocity	NOUN
ejpam-6505	265	23	u∗	u∗	PROPN
ejpam-6505	265	24	t	t	PROPN
ejpam-6505	265	25	versus	versus	X
ejpam-6505	265	26	permeability	permeability	NOUN
ejpam-6505	265	27	parameter	parameter	NOUN
ejpam-6505	265	28	α	α	NOUN
ejpam-6505	265	29	for	for	ADP
ejpam-6505	265	30	different	different	ADJ
ejpam-6505	265	31	values	value	NOUN
ejpam-6505	265	32	of	of	ADP
ejpam-6505	265	33	thermal	thermal	ADJ
ejpam-6505	265	34	conductivity	conductivity	NOUN
ejpam-6505	265	35	ratio	ratio	NOUN
ejpam-6505	265	36	k	k	PROPN
ejpam-6505	265	37	at	at	ADP
ejpam-6505	265	38	specific	specific	ADJ
ejpam-6505	265	39	values	value	NOUN
ejpam-6505	265	40	of	of	ADP
ejpam-6505	265	41	viscosity	viscosity	NOUN
ejpam-6505	265	42	ratio(σ	ratio(σ	NOUN
ejpam-6505	265	43	=	=	SYM
ejpam-6505	265	44	0	0	NUM
ejpam-6505	265	45	,	,	PUNCT
ejpam-6505	265	46	σ	σ	PROPN
ejpam-6505	265	47	=	=	SYM
ejpam-6505	265	48	3	3	NUM
ejpam-6505	265	49	)	)	PUNCT
ejpam-6505	265	50	.	.	PUNCT
ejpam-6505	266	1	figure	figure	VERB
ejpam-6505	266	2	3	3	NUM
ejpam-6505	266	3	:	:	PUNCT
ejpam-6505	266	4	normalized	normalize	VERB
ejpam-6505	266	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	266	6	velocity	velocity	NOUN
ejpam-6505	266	7	u∗	u∗	PROPN
ejpam-6505	266	8	t	t	PROPN
ejpam-6505	266	9	versus	versus	X
ejpam-6505	266	10	permeability	permeability	NOUN
ejpam-6505	266	11	parameter	parameter	NOUN
ejpam-6505	266	12	α	α	NOUN
ejpam-6505	266	13	for	for	ADP
ejpam-6505	266	14	different	different	ADJ
ejpam-6505	266	15	values	value	NOUN
ejpam-6505	266	16	of	of	ADP
ejpam-6505	266	17	viscosity	viscosity	NOUN
ejpam-6505	266	18	ratio	ratio	NOUN
ejpam-6505	266	19	σ	σ	NOUN
ejpam-6505	266	20	at	at	ADP
ejpam-6505	266	21	specific	specific	ADJ
ejpam-6505	266	22	values	value	NOUN
ejpam-6505	266	23	thermal	thermal	ADJ
ejpam-6505	266	24	conductivity	conductivity	NOUN
ejpam-6505	266	25	ratio	ratio	NOUN
ejpam-6505	266	26	(	(	PUNCT
ejpam-6505	266	27	k	k	NOUN
ejpam-6505	266	28	=	=	SYM
ejpam-6505	266	29	0	0	PROPN
ejpam-6505	266	30	,	,	PUNCT
ejpam-6505	266	31	k	k	PROPN
ejpam-6505	266	32	=	=	SYM
ejpam-6505	266	33	3	3	NUM
ejpam-6505	266	34	)	)	PUNCT
ejpam-6505	266	35	.	.	PUNCT
ejpam-6505	267	1	a.	a.	PROPN
ejpam-6505	267	2	s.	s.	PROPN
ejpam-6505	267	3	aamer	aamer	PROPN
ejpam-6505	267	4	,	,	PUNCT
ejpam-6505	267	5	b.	b.	PROPN
ejpam-6505	267	6	a.	a.	PROPN
ejpam-6505	267	7	ahmed	ahmed	PROPN
ejpam-6505	267	8	,	,	PUNCT
ejpam-6505	267	9	s.	s.	PROPN
ejpam-6505	267	10	a.	a.	PROPN
ejpam-6505	267	11	mahrous	mahrous	PROPN
ejpam-6505	267	12	/	/	SYM
ejpam-6505	267	13	eur	eur	PROPN
ejpam-6505	267	14	.	.	PUNCT
ejpam-6505	268	1	j.	j.	PROPN
ejpam-6505	268	2	pure	pure	PROPN
ejpam-6505	268	3	appl	appl	PROPN
ejpam-6505	268	4	.	.	PROPN
ejpam-6505	268	5	math	math	PROPN
ejpam-6505	268	6	,	,	PUNCT
ejpam-6505	268	7	18	18	NUM
ejpam-6505	268	8	(	(	PUNCT
ejpam-6505	268	9	3	3	NUM
ejpam-6505	268	10	)	)	PUNCT
ejpam-6505	268	11	(	(	PUNCT
ejpam-6505	268	12	2025	2025	NUM
ejpam-6505	268	13	)	)	PUNCT
ejpam-6505	268	14	,	,	PUNCT
ejpam-6505	268	15	6505	6505	NUM
ejpam-6505	268	16	of	of	ADP
ejpam-6505	268	17	figures	figure	NOUN
ejpam-6505	268	18	2	2	NUM
ejpam-6505	268	19	and	and	CCONJ
ejpam-6505	268	20	3	3	NUM
ejpam-6505	268	21	show	show	VERB
ejpam-6505	268	22	the	the	DET
ejpam-6505	268	23	plots	plot	NOUN
ejpam-6505	268	24	of	of	ADP
ejpam-6505	268	25	u∗	u∗	ADJ
ejpam-6505	268	26	t	t	NOUN
ejpam-6505	268	27	against	against	ADP
ejpam-6505	268	28	the	the	DET
ejpam-6505	268	29	permeability	permeability	NOUN
ejpam-6505	268	30	parameter	parameter	NOUN
ejpam-6505	268	31	characterizing	characterize	VERB
ejpam-6505	268	32	the	the	DET
ejpam-6505	268	33	porous	porous	ADJ
ejpam-6505	268	34	medium	medium	NOUN
ejpam-6505	268	35	for	for	ADP
ejpam-6505	268	36	various	various	ADJ
ejpam-6505	268	37	values	value	NOUN
ejpam-6505	268	38	of	of	ADP
ejpam-6505	268	39	viscosity	viscosity	NOUN
ejpam-6505	268	40	ratio	ratio	NOUN
ejpam-6505	268	41	σ	σ	PROPN
ejpam-6505	268	42	,	,	PUNCT
ejpam-6505	268	43	and	and	CCONJ
ejpam-6505	268	44	the	the	DET
ejpam-6505	268	45	thermal	thermal	ADJ
ejpam-6505	268	46	conductivity	conductivity	NOUN
ejpam-6505	268	47	ratio	ratio	NOUN
ejpam-6505	268	48	k.	k.	PROPN
ejpam-6505	268	49	as	as	SCONJ
ejpam-6505	268	50	depicted	depict	VERB
ejpam-6505	268	51	in	in	ADP
ejpam-6505	268	52	fig	fig	NOUN
ejpam-6505	268	53	.	.	PUNCT
ejpam-6505	268	54	2	2	NUM
ejpam-6505	268	55	and	and	CCONJ
ejpam-6505	268	56	fig	fig	NOUN
ejpam-6505	268	57	.	.	PUNCT
ejpam-6505	269	1	3	3	NUM
ejpam-6505	269	2	,	,	PUNCT
ejpam-6505	269	3	the	the	DET
ejpam-6505	269	4	presented	present	VERB
ejpam-6505	269	5	results	result	NOUN
ejpam-6505	269	6	reveal	reveal	VERB
ejpam-6505	269	7	a	a	DET
ejpam-6505	269	8	clear	clear	ADJ
ejpam-6505	269	9	dependence	dependence	NOUN
ejpam-6505	269	10	of	of	ADP
ejpam-6505	269	11	the	the	DET
ejpam-6505	269	12	dimensionless	dimensionless	NOUN
ejpam-6505	269	13	thermocapillary	thermocapillary	ADJ
ejpam-6505	269	14	velocity	velocity	NOUN
ejpam-6505	269	15	u∗	u∗	PROPN
ejpam-6505	269	16	t	t	PROPN
ejpam-6505	269	17	on	on	ADP
ejpam-6505	269	18	the	the	DET
ejpam-6505	269	19	porous	porous	ADJ
ejpam-6505	269	20	medium	medium	NOUN
ejpam-6505	269	21	’s	’s	NOUN
ejpam-6505	269	22	permeability	permeability	NOUN
ejpam-6505	269	23	α	α	NOUN
ejpam-6505	269	24	,	,	PUNCT
ejpam-6505	269	25	the	the	DET
ejpam-6505	269	26	droplet	droplet	ADJ
ejpam-6505	269	27	-	-	PUNCT
ejpam-6505	269	28	to	to	ADP
ejpam-6505	269	29	-	-	PUNCT
ejpam-6505	269	30	medium	medium	NOUN
ejpam-6505	269	31	viscosity	viscosity	NOUN
ejpam-6505	269	32	ratio	ratio	NOUN
ejpam-6505	269	33	σ	σ	PROPN
ejpam-6505	269	34	,	,	PUNCT
ejpam-6505	269	35	and	and	CCONJ
ejpam-6505	269	36	the	the	DET
ejpam-6505	269	37	droplet	droplet	ADJ
ejpam-6505	269	38	-	-	PUNCT
ejpam-6505	269	39	to	to	ADP
ejpam-6505	269	40	-	-	PUNCT
ejpam-6505	269	41	medium	medium	NOUN
ejpam-6505	269	42	thermal	thermal	ADJ
ejpam-6505	269	43	conductivity	conductivity	NOUN
ejpam-6505	269	44	ratio	ratio	NOUN
ejpam-6505	269	45	k.	k.	PROPN
ejpam-6505	270	1	a	a	DET
ejpam-6505	270	2	consistent	consistent	ADJ
ejpam-6505	270	3	attenuation	attenuation	NOUN
ejpam-6505	270	4	of	of	ADP
ejpam-6505	270	5	u∗	u∗	PROPN
ejpam-6505	270	6	t	t	PROPN
ejpam-6505	270	7	is	be	AUX
ejpam-6505	270	8	observed	observe	VERB
ejpam-6505	270	9	with	with	ADP
ejpam-6505	270	10	increasing	increase	VERB
ejpam-6505	270	11	permeability	permeability	NOUN
ejpam-6505	270	12	parameter	parameter	NOUN
ejpam-6505	270	13	α	α	NOUN
ejpam-6505	270	14	,	,	PUNCT
ejpam-6505	270	15	signifying	signify	VERB
ejpam-6505	270	16	the	the	DET
ejpam-6505	270	17	escalating	escalate	VERB
ejpam-6505	270	18	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	270	19	drag	drag	NOUN
ejpam-6505	270	20	imposed	impose	VERB
ejpam-6505	270	21	by	by	ADP
ejpam-6505	270	22	the	the	DET
ejpam-6505	270	23	porous	porous	ADJ
ejpam-6505	270	24	matrix	matrix	NOUN
ejpam-6505	270	25	;	;	PUNCT
ejpam-6505	270	26	this	this	DET
ejpam-6505	270	27	effect	effect	NOUN
ejpam-6505	270	28	is	be	AUX
ejpam-6505	270	29	most	most	ADV
ejpam-6505	270	30	pronounced	pronounce	VERB
ejpam-6505	270	31	as	as	ADP
ejpam-6505	270	32	α	α	NOUN
ejpam-6505	270	33	transitions	transition	NOUN
ejpam-6505	270	34	from	from	ADP
ejpam-6505	270	35	values	value	NOUN
ejpam-6505	270	36	near	near	ADP
ejpam-6505	270	37	unity	unity	NOUN
ejpam-6505	270	38	to	to	ADP
ejpam-6505	270	39	higher	high	ADJ
ejpam-6505	270	40	values	value	NOUN
ejpam-6505	270	41	,	,	PUNCT
ejpam-6505	270	42	culminating	culminate	VERB
ejpam-6505	270	43	in	in	ADP
ejpam-6505	270	44	negligible	negligible	ADJ
ejpam-6505	270	45	velocity	velocity	NOUN
ejpam-6505	270	46	in	in	ADP
ejpam-6505	270	47	the	the	DET
ejpam-6505	270	48	darcy	darcy	PROPN
ejpam-6505	270	49	limit	limit	NOUN
ejpam-6505	270	50	(	(	PUNCT
ejpam-6505	270	51	α	α	NOUN
ejpam-6505	270	52	>	>	X
ejpam-6505	270	53	>	>	X
ejpam-6505	270	54	1	1	NUM
ejpam-6505	270	55	)	)	PUNCT
ejpam-6505	270	56	where	where	SCONJ
ejpam-6505	270	57	matrix	matrix	NOUN
ejpam-6505	270	58	resistance	resistance	NOUN
ejpam-6505	270	59	dominates	dominate	VERB
ejpam-6505	270	60	,	,	PUNCT
ejpam-6505	270	61	contrasting	contrast	VERB
ejpam-6505	270	62	with	with	ADP
ejpam-6505	270	63	maximal	maximal	ADJ
ejpam-6505	270	64	velocity	velocity	NOUN
ejpam-6505	270	65	in	in	ADP
ejpam-6505	270	66	the	the	DET
ejpam-6505	270	67	stokes	stoke	NOUN
ejpam-6505	270	68	limit	limit	NOUN
ejpam-6505	270	69	(	(	PUNCT
ejpam-6505	270	70	α	α	NOUN
ejpam-6505	270	71	=	=	NOUN
ejpam-6505	270	72	0	0	NUM
ejpam-6505	270	73	)	)	PUNCT
ejpam-6505	270	74	where	where	SCONJ
ejpam-6505	270	75	such	such	ADJ
ejpam-6505	270	76	resistance	resistance	NOUN
ejpam-6505	270	77	is	be	AUX
ejpam-6505	270	78	minimal	minimal	ADJ
ejpam-6505	270	79	.	.	PUNCT
ejpam-6505	271	1	the	the	DET
ejpam-6505	271	2	physics	physics	NOUN
ejpam-6505	271	3	underlying	underlie	VERB
ejpam-6505	271	4	this	this	DET
ejpam-6505	271	5	trend	trend	NOUN
ejpam-6505	271	6	is	be	AUX
ejpam-6505	271	7	the	the	DET
ejpam-6505	271	8	increased	increase	VERB
ejpam-6505	271	9	energy	energy	NOUN
ejpam-6505	271	10	dissipation	dissipation	NOUN
ejpam-6505	271	11	due	due	ADP
ejpam-6505	271	12	to	to	ADP
ejpam-6505	271	13	the	the	DET
ejpam-6505	271	14	solid	solid	ADJ
ejpam-6505	271	15	matrix	matrix	NOUN
ejpam-6505	271	16	obstructing	obstructing	NOUN
ejpam-6505	271	17	flow	flow	NOUN
ejpam-6505	271	18	.	.	PUNCT
ejpam-6505	272	1	furthermore	furthermore	ADV
ejpam-6505	272	2	,	,	PUNCT
ejpam-6505	272	3	for	for	ADP
ejpam-6505	272	4	fixed	fixed	ADJ
ejpam-6505	272	5	α	α	NOUN
ejpam-6505	272	6	and	and	CCONJ
ejpam-6505	272	7	σ	σ	PROPN
ejpam-6505	272	8	,	,	PUNCT
ejpam-6505	272	9	an	an	DET
ejpam-6505	272	10	increase	increase	NOUN
ejpam-6505	272	11	in	in	ADP
ejpam-6505	272	12	the	the	DET
ejpam-6505	272	13	thermal	thermal	ADJ
ejpam-6505	272	14	conductivity	conductivity	NOUN
ejpam-6505	272	15	ratio	ratio	NOUN
ejpam-6505	272	16	k	k	PROPN
ejpam-6505	272	17	leads	lead	VERB
ejpam-6505	272	18	to	to	ADP
ejpam-6505	272	19	a	a	DET
ejpam-6505	272	20	reduction	reduction	NOUN
ejpam-6505	272	21	in	in	ADP
ejpam-6505	272	22	u∗	u∗	ADJ
ejpam-6505	272	23	t	t	NOUN
ejpam-6505	272	24	.	.	PUNCT
ejpam-6505	273	1	this	this	PRON
ejpam-6505	273	2	is	be	AUX
ejpam-6505	273	3	attributable	attributable	ADJ
ejpam-6505	273	4	to	to	ADP
ejpam-6505	273	5	the	the	DET
ejpam-6505	273	6	droplet	droplet	ADJ
ejpam-6505	273	7	becoming	become	VERB
ejpam-6505	273	8	more	more	ADV
ejpam-6505	273	9	thermally	thermally	ADV
ejpam-6505	273	10	conductive	conductive	ADJ
ejpam-6505	273	11	relative	relative	ADJ
ejpam-6505	273	12	to	to	ADP
ejpam-6505	273	13	the	the	DET
ejpam-6505	273	14	surrounding	surround	VERB
ejpam-6505	273	15	medium	medium	NOUN
ejpam-6505	273	16	,	,	PUNCT
ejpam-6505	273	17	which	which	PRON
ejpam-6505	273	18	tends	tend	VERB
ejpam-6505	273	19	to	to	PART
ejpam-6505	273	20	homogenize	homogenize	VERB
ejpam-6505	273	21	the	the	DET
ejpam-6505	273	22	temperature	temperature	NOUN
ejpam-6505	273	23	across	across	ADP
ejpam-6505	273	24	the	the	DET
ejpam-6505	273	25	droplet	droplet	PROPN
ejpam-6505	273	26	’s	’s	PART
ejpam-6505	273	27	surface	surface	NOUN
ejpam-6505	273	28	,	,	PUNCT
ejpam-6505	273	29	thereby	thereby	ADV
ejpam-6505	273	30	diminishing	diminish	VERB
ejpam-6505	273	31	the	the	DET
ejpam-6505	273	32	interfacial	interfacial	ADJ
ejpam-6505	273	33	temperature	temperature	NOUN
ejpam-6505	273	34	gradients	gradient	NOUN
ejpam-6505	273	35	that	that	PRON
ejpam-6505	273	36	are	be	AUX
ejpam-6505	273	37	crucial	crucial	ADJ
ejpam-6505	273	38	for	for	ADP
ejpam-6505	273	39	generating	generate	VERB
ejpam-6505	273	40	the	the	DET
ejpam-6505	273	41	marangoni	marangoni	NOUN
ejpam-6505	273	42	stresses	stress	VERB
ejpam-6505	273	43	responsible	responsible	ADJ
ejpam-6505	273	44	for	for	ADP
ejpam-6505	273	45	migration	migration	NOUN
ejpam-6505	273	46	.	.	PUNCT
ejpam-6505	274	1	conversely	conversely	ADV
ejpam-6505	274	2	,	,	PUNCT
ejpam-6505	274	3	at	at	ADP
ejpam-6505	274	4	constant	constant	ADJ
ejpam-6505	274	5	α	α	NOUN
ejpam-6505	274	6	and	and	CCONJ
ejpam-6505	274	7	k	k	NOUN
ejpam-6505	274	8	,	,	PUNCT
ejpam-6505	274	9	u∗	u∗	PROPN
ejpam-6505	274	10	t	t	NOUN
ejpam-6505	274	11	increases	increase	NOUN
ejpam-6505	274	12	as	as	ADP
ejpam-6505	274	13	the	the	DET
ejpam-6505	274	14	viscosity	viscosity	NOUN
ejpam-6505	274	15	ratio	ratio	NOUN
ejpam-6505	274	16	σ	σ	PROPN
ejpam-6505	274	17	decreases	decrease	NOUN
ejpam-6505	274	18	(	(	PUNCT
ejpam-6505	274	19	i.e.	i.e.	X
ejpam-6505	274	20	,	,	PUNCT
ejpam-6505	274	21	the	the	DET
ejpam-6505	274	22	droplet	droplet	NOUN
ejpam-6505	274	23	becomes	become	VERB
ejpam-6505	274	24	less	less	ADV
ejpam-6505	274	25	viscous	viscous	ADJ
ejpam-6505	274	26	relative	relative	NOUN
ejpam-6505	274	27	to	to	ADP
ejpam-6505	274	28	the	the	DET
ejpam-6505	274	29	external	external	ADJ
ejpam-6505	274	30	fluid	fluid	NOUN
ejpam-6505	274	31	)	)	PUNCT
ejpam-6505	274	32	.	.	PUNCT
ejpam-6505	275	1	reduced	reduce	VERB
ejpam-6505	275	2	internal	internal	ADJ
ejpam-6505	275	3	droplet	droplet	ADJ
ejpam-6505	275	4	viscosity	viscosity	NOUN
ejpam-6505	275	5	promotes	promote	VERB
ejpam-6505	275	6	stronger	strong	ADJ
ejpam-6505	275	7	internal	internal	ADJ
ejpam-6505	275	8	circulation	circulation	NOUN
ejpam-6505	275	9	and	and	CCONJ
ejpam-6505	275	10	surface	surface	NOUN
ejpam-6505	275	11	mobility	mobility	NOUN
ejpam-6505	275	12	due	due	ADP
ejpam-6505	275	13	to	to	ADP
ejpam-6505	275	14	interfacial	interfacial	ADJ
ejpam-6505	275	15	thermocapillary	thermocapillary	ADJ
ejpam-6505	275	16	stresses	stress	NOUN
ejpam-6505	275	17	,	,	PUNCT
ejpam-6505	275	18	leading	lead	VERB
ejpam-6505	275	19	to	to	ADP
ejpam-6505	275	20	a	a	DET
ejpam-6505	275	21	higher	high	ADJ
ejpam-6505	275	22	overall	overall	ADJ
ejpam-6505	275	23	translational	translational	ADJ
ejpam-6505	275	24	velocity	velocity	NOUN
ejpam-6505	275	25	.	.	PUNCT
ejpam-6505	276	1	these	these	DET
ejpam-6505	276	2	interconnected	interconnect	VERB
ejpam-6505	276	3	influences	influence	NOUN
ejpam-6505	276	4	highlight	highlight	VERB
ejpam-6505	276	5	how	how	SCONJ
ejpam-6505	276	6	the	the	DET
ejpam-6505	276	7	balance	balance	NOUN
ejpam-6505	276	8	between	between	ADP
ejpam-6505	276	9	the	the	DET
ejpam-6505	276	10	thermocapillary	thermocapillary	ADJ
ejpam-6505	276	11	driving	driving	NOUN
ejpam-6505	276	12	force	force	NOUN
ejpam-6505	276	13	,	,	PUNCT
ejpam-6505	276	14	shaped	shape	VERB
ejpam-6505	276	15	by	by	ADP
ejpam-6505	276	16	thermal	thermal	ADJ
ejpam-6505	276	17	properties	property	NOUN
ejpam-6505	276	18	,	,	PUNCT
ejpam-6505	276	19	and	and	CCONJ
ejpam-6505	276	20	the	the	DET
ejpam-6505	276	21	resistive	resistive	ADJ
ejpam-6505	276	22	forces	force	NOUN
ejpam-6505	276	23	,	,	PUNCT
ejpam-6505	276	24	governed	govern	VERB
ejpam-6505	276	25	by	by	ADP
ejpam-6505	276	26	both	both	DET
ejpam-6505	276	27	fluid	fluid	ADJ
ejpam-6505	276	28	viscosities	viscosity	NOUN
ejpam-6505	276	29	and	and	CCONJ
ejpam-6505	276	30	the	the	DET
ejpam-6505	276	31	porous	porous	ADJ
ejpam-6505	276	32	matrix	matrix	NOUN
ejpam-6505	276	33	structure	structure	NOUN
ejpam-6505	276	34	,	,	PUNCT
ejpam-6505	276	35	dictates	dictate	VERB
ejpam-6505	276	36	the	the	DET
ejpam-6505	276	37	droplet	droplet	ADJ
ejpam-6505	276	38	’s	’s	PART
ejpam-6505	276	39	migratory	migratory	ADJ
ejpam-6505	276	40	behavior	behavior	NOUN
ejpam-6505	276	41	.	.	PUNCT
ejpam-6505	277	1	a.	a.	PROPN
ejpam-6505	277	2	s.	s.	PROPN
ejpam-6505	277	3	aamer	aamer	PROPN
ejpam-6505	277	4	,	,	PUNCT
ejpam-6505	277	5	b.	b.	PROPN
ejpam-6505	277	6	a.	a.	PROPN
ejpam-6505	277	7	ahmed	ahmed	PROPN
ejpam-6505	277	8	,	,	PUNCT
ejpam-6505	277	9	s.	s.	PROPN
ejpam-6505	277	10	a.	a.	PROPN
ejpam-6505	277	11	mahrous	mahrous	PROPN
ejpam-6505	277	12	/	/	SYM
ejpam-6505	277	13	eur	eur	PROPN
ejpam-6505	277	14	.	.	PUNCT
ejpam-6505	278	1	j.	j.	PROPN
ejpam-6505	278	2	pure	pure	PROPN
ejpam-6505	278	3	appl	appl	PROPN
ejpam-6505	278	4	.	.	PROPN
ejpam-6505	278	5	math	math	PROPN
ejpam-6505	278	6	,	,	PUNCT
ejpam-6505	278	7	18	18	NUM
ejpam-6505	278	8	(	(	PUNCT
ejpam-6505	278	9	3	3	NUM
ejpam-6505	278	10	)	)	PUNCT
ejpam-6505	278	11	(	(	PUNCT
ejpam-6505	278	12	2025	2025	NUM
ejpam-6505	278	13	)	)	PUNCT
ejpam-6505	278	14	,	,	PUNCT
ejpam-6505	278	15	6505	6505	NUM
ejpam-6505	278	16	of	of	ADP
ejpam-6505	278	17	stokes	stokes	PROPN
ejpam-6505	278	18	flow	flow	PROPN
ejpam-6505	278	19	darcian	darcian	PROPN
ejpam-6505	278	20	flow	flow	NOUN
ejpam-6505	278	21	figure	figure	NOUN
ejpam-6505	278	22	4	4	NUM
ejpam-6505	278	23	:	:	PUNCT
ejpam-6505	278	24	normalized	normalize	VERB
ejpam-6505	278	25	thermocapillary	thermocapillary	ADJ
ejpam-6505	278	26	force	force	NOUN
ejpam-6505	278	27	f	f	PROPN
ejpam-6505	278	28	∗	∗	X
ejpam-6505	278	29	t	t	PROPN
ejpam-6505	278	30	versus	versus	ADP
ejpam-6505	278	31	permeability	permeability	NOUN
ejpam-6505	278	32	parameter	parameter	NOUN
ejpam-6505	278	33	α	α	NOUN
ejpam-6505	278	34	for	for	ADP
ejpam-6505	278	35	different	different	ADJ
ejpam-6505	278	36	values	value	NOUN
ejpam-6505	278	37	of	of	ADP
ejpam-6505	278	38	thermal	thermal	ADJ
ejpam-6505	278	39	conductivity	conductivity	NOUN
ejpam-6505	278	40	ratio	ratio	NOUN
ejpam-6505	278	41	k	k	PROPN
ejpam-6505	278	42	at	at	ADP
ejpam-6505	278	43	specific	specific	ADJ
ejpam-6505	278	44	values	value	NOUN
ejpam-6505	278	45	viscosity	viscosity	NOUN
ejpam-6505	278	46	ratio	ratio	NOUN
ejpam-6505	278	47	(	(	PUNCT
ejpam-6505	278	48	σ	σ	NOUN
ejpam-6505	278	49	=	=	SYM
ejpam-6505	278	50	0	0	NUM
ejpam-6505	278	51	,	,	PUNCT
ejpam-6505	278	52	σ	σ	PROPN
ejpam-6505	278	53	=	=	SYM
ejpam-6505	278	54	3	3	NUM
ejpam-6505	278	55	)	)	PUNCT
ejpam-6505	278	56	.	.	PUNCT
ejpam-6505	279	1	figures	figure	NOUN
ejpam-6505	279	2	4	4	NUM
ejpam-6505	279	3	and	and	CCONJ
ejpam-6505	279	4	5	5	NUM
ejpam-6505	279	5	show	show	VERB
ejpam-6505	279	6	the	the	DET
ejpam-6505	279	7	plots	plot	NOUN
ejpam-6505	279	8	of	of	ADP
ejpam-6505	279	9	the	the	DET
ejpam-6505	279	10	non	non	ADJ
ejpam-6505	279	11	-	-	ADJ
ejpam-6505	279	12	dimensional	dimensional	ADJ
ejpam-6505	279	13	thermocapillary	thermocapillary	ADJ
ejpam-6505	279	14	force	force	NOUN
ejpam-6505	279	15	f	f	PROPN
ejpam-6505	279	16	∗	∗	NOUN
ejpam-6505	279	17	t	t	NOUN
ejpam-6505	279	18	against	against	ADP
ejpam-6505	279	19	the	the	DET
ejpam-6505	279	20	permeability	permeability	NOUN
ejpam-6505	279	21	parameter	parameter	NOUN
ejpam-6505	279	22	α	α	PROPN
ejpam-6505	279	23	for	for	ADP
ejpam-6505	279	24	various	various	ADJ
ejpam-6505	279	25	values	value	NOUN
ejpam-6505	279	26	of	of	ADP
ejpam-6505	279	27	the	the	DET
ejpam-6505	279	28	viscosity	viscosity	NOUN
ejpam-6505	279	29	ratio	ratio	NOUN
ejpam-6505	279	30	σ	σ	PROPN
ejpam-6505	279	31	,	,	PUNCT
ejpam-6505	279	32	and	and	CCONJ
ejpam-6505	279	33	the	the	DET
ejpam-6505	279	34	thermal	thermal	ADJ
ejpam-6505	279	35	conductivity	conductivity	NOUN
ejpam-6505	279	36	ratio	ratio	NOUN
ejpam-6505	279	37	k.	k.	PROPN
ejpam-6505	280	1	the	the	DET
ejpam-6505	280	2	observed	observe	VERB
ejpam-6505	280	3	behavior	behavior	NOUN
ejpam-6505	280	4	of	of	ADP
ejpam-6505	280	5	the	the	DET
ejpam-6505	280	6	non	non	ADJ
ejpam-6505	280	7	-	-	ADJ
ejpam-6505	280	8	dimensional	dimensional	ADJ
ejpam-6505	280	9	thermocapillary	thermocapillary	ADJ
ejpam-6505	280	10	force	force	NOUN
ejpam-6505	280	11	f	f	PROPN
ejpam-6505	280	12	∗	∗	PROPN
ejpam-6505	280	13	t	t	PROPN
ejpam-6505	280	14	highlights	highlight	VERB
ejpam-6505	280	15	the	the	DET
ejpam-6505	280	16	crucial	crucial	ADJ
ejpam-6505	280	17	interplay	interplay	NOUN
ejpam-6505	280	18	between	between	ADP
ejpam-6505	280	19	internal	internal	ADJ
ejpam-6505	280	20	fluid	fluid	ADJ
ejpam-6505	280	21	dynamics	dynamic	NOUN
ejpam-6505	280	22	,	,	PUNCT
ejpam-6505	280	23	interfacial	interfacial	ADJ
ejpam-6505	280	24	phenomena	phenomenon	NOUN
ejpam-6505	280	25	,	,	PUNCT
ejpam-6505	280	26	and	and	CCONJ
ejpam-6505	280	27	overall	overall	ADJ
ejpam-6505	280	28	droplet	droplet	ADJ
ejpam-6505	280	29	propulsion	propulsion	NOUN
ejpam-6505	280	30	.	.	PUNCT
ejpam-6505	281	1	f	f	PROPN
ejpam-6505	281	2	∗	∗	PROPN
ejpam-6505	281	3	t	t	PROPN
ejpam-6505	281	4	increases	increase	VERB
ejpam-6505	281	5	monotonically	monotonically	ADV
ejpam-6505	281	6	with	with	ADP
ejpam-6505	281	7	the	the	DET
ejpam-6505	281	8	permeability	permeability	NOUN
ejpam-6505	281	9	parameter	parameter	NOUN
ejpam-6505	281	10	α	α	PROPN
ejpam-6505	281	11	because	because	SCONJ
ejpam-6505	281	12	higher	high	ADJ
ejpam-6505	281	13	permeability	permeability	NOUN
ejpam-6505	281	14	signifies	signifie	NOUN
ejpam-6505	281	15	reduced	reduce	VERB
ejpam-6505	281	16	internal	internal	ADJ
ejpam-6505	281	17	resistance	resistance	NOUN
ejpam-6505	281	18	to	to	PART
ejpam-6505	281	19	flow	flow	VERB
ejpam-6505	281	20	,	,	PUNCT
ejpam-6505	281	21	leading	lead	VERB
ejpam-6505	281	22	to	to	ADP
ejpam-6505	281	23	pronounced	pronounce	VERB
ejpam-6505	281	24	internal	internal	ADJ
ejpam-6505	281	25	circulation	circulation	NOUN
ejpam-6505	281	26	and	and	CCONJ
ejpam-6505	281	27	superior	superior	ADJ
ejpam-6505	281	28	surface	surface	NOUN
ejpam-6505	281	29	mobility	mobility	NOUN
ejpam-6505	281	30	,	,	PUNCT
ejpam-6505	281	31	thereby	thereby	ADV
ejpam-6505	281	32	enhancing	enhance	VERB
ejpam-6505	281	33	the	the	DET
ejpam-6505	281	34	net	net	ADJ
ejpam-6505	281	35	propulsive	propulsive	ADJ
ejpam-6505	281	36	force	force	NOUN
ejpam-6505	281	37	.	.	PUNCT
ejpam-6505	282	1	consequently	consequently	ADV
ejpam-6505	282	2	,	,	PUNCT
ejpam-6505	282	3	f	f	PROPN
ejpam-6505	282	4	∗	∗	PROPN
ejpam-6505	282	5	t	t	PROPN
ejpam-6505	282	6	is	be	AUX
ejpam-6505	282	7	minimized	minimize	VERB
ejpam-6505	282	8	as	as	ADP
ejpam-6505	282	9	α	α	NOUN
ejpam-6505	282	10	approaches	approach	NOUN
ejpam-6505	282	11	zero	zero	NUM
ejpam-6505	282	12	,	,	PUNCT
ejpam-6505	282	13	where	where	SCONJ
ejpam-6505	282	14	the	the	DET
ejpam-6505	282	15	droplet	droplet	ADJ
ejpam-6505	282	16	behaves	behave	VERB
ejpam-6505	282	17	akin	akin	ADJ
ejpam-6505	282	18	to	to	ADP
ejpam-6505	282	19	a	a	DET
ejpam-6505	282	20	rigid	rigid	ADJ
ejpam-6505	282	21	particle	particle	NOUN
ejpam-6505	282	22	with	with	ADP
ejpam-6505	282	23	suppressed	suppress	VERB
ejpam-6505	282	24	internal	internal	ADJ
ejpam-6505	282	25	convection	convection	NOUN
ejpam-6505	282	26	,	,	PUNCT
ejpam-6505	282	27	and	and	CCONJ
ejpam-6505	282	28	its	its	PRON
ejpam-6505	282	29	asymptotes	asymptote	NOUN
ejpam-6505	282	30	to	to	ADP
ejpam-6505	282	31	a	a	DET
ejpam-6505	282	32	constant	constant	ADJ
ejpam-6505	282	33	value	value	NOUN
ejpam-6505	282	34	as	as	ADP
ejpam-6505	282	35	α	α	NOUN
ejpam-6505	282	36	approaches	approach	NOUN
ejpam-6505	282	37	infinity	infinity	NOUN
ejpam-6505	282	38	,	,	PUNCT
ejpam-6505	282	39	indicating	indicate	VERB
ejpam-6505	282	40	that	that	SCONJ
ejpam-6505	282	41	internal	internal	ADJ
ejpam-6505	282	42	permeability	permeability	NOUN
ejpam-6505	282	43	is	be	AUX
ejpam-6505	282	44	no	no	ADV
ejpam-6505	282	45	longer	long	ADV
ejpam-6505	282	46	the	the	DET
ejpam-6505	282	47	limiting	limit	VERB
ejpam-6505	282	48	factor	factor	NOUN
ejpam-6505	282	49	and	and	CCONJ
ejpam-6505	282	50	f	f	PROPN
ejpam-6505	282	51	∗	∗	NOUN
ejpam-6505	282	52	t	t	PROPN
ejpam-6505	282	53	becomes	becomes	AUX
ejpam-6505	282	54	governed	govern	VERB
ejpam-6505	282	55	by	by	ADP
ejpam-6505	282	56	the	the	DET
ejpam-6505	282	57	magnitude	magnitude	NOUN
ejpam-6505	282	58	of	of	ADP
ejpam-6505	282	59	the	the	DET
ejpam-6505	282	60	interfacial	interfacial	ADJ
ejpam-6505	282	61	temperature	temperature	NOUN
ejpam-6505	282	62	gradient	gradient	NOUN
ejpam-6505	282	63	(	(	PUNCT
ejpam-6505	282	64	influenced	influence	VERB
ejpam-6505	282	65	by	by	ADP
ejpam-6505	282	66	thermal	thermal	ADJ
ejpam-6505	282	67	conductivity	conductivity	NOUN
ejpam-6505	282	68	ratio	ratio	NOUN
ejpam-6505	282	69	,	,	PUNCT
ejpam-6505	282	70	k	k	NOUN
ejpam-6505	282	71	)	)	PUNCT
ejpam-6505	282	72	and	and	CCONJ
ejpam-6505	282	73	external	external	ADJ
ejpam-6505	282	74	fluid	fluid	ADJ
ejpam-6505	282	75	properties	property	NOUN
ejpam-6505	282	76	.	.	PUNCT
ejpam-6505	283	1	furthermore	furthermore	ADV
ejpam-6505	283	2	,	,	PUNCT
ejpam-6505	283	3	for	for	ADP
ejpam-6505	283	4	any	any	DET
ejpam-6505	283	5	given	give	VERB
ejpam-6505	283	6	α	α	NOUN
ejpam-6505	283	7	and	and	CCONJ
ejpam-6505	283	8	k	k	PROPN
ejpam-6505	283	9	,	,	PUNCT
ejpam-6505	283	10	f	f	PROPN
ejpam-6505	283	11	∗	∗	PROPN
ejpam-6505	283	12	t	t	PROPN
ejpam-6505	283	13	increases	increase	VERB
ejpam-6505	283	14	with	with	ADP
ejpam-6505	283	15	a	a	DET
ejpam-6505	283	16	decreasing	decrease	VERB
ejpam-6505	283	17	viscosity	viscosity	NOUN
ejpam-6505	283	18	ratio	ratio	NOUN
ejpam-6505	283	19	σ	σ	PROPN
ejpam-6505	283	20	,	,	PUNCT
ejpam-6505	283	21	as	as	SCONJ
ejpam-6505	283	22	lower	low	ADJ
ejpam-6505	283	23	internal	internal	ADJ
ejpam-6505	283	24	viscosity	viscosity	NOUN
ejpam-6505	283	25	reduces	reduce	VERB
ejpam-6505	283	26	internal	internal	ADJ
ejpam-6505	283	27	viscous	viscous	ADJ
ejpam-6505	283	28	dissipation	dissipation	NOUN
ejpam-6505	283	29	,	,	PUNCT
ejpam-6505	283	30	enabling	enable	VERB
ejpam-6505	283	31	the	the	DET
ejpam-6505	283	32	marangoni	marangoni	NOUN
ejpam-6505	283	33	stresses	stress	VERB
ejpam-6505	283	34	to	to	PART
ejpam-6505	283	35	more	more	ADV
ejpam-6505	283	36	efficiently	efficiently	ADV
ejpam-6505	283	37	convert	convert	VERB
ejpam-6505	283	38	thermal	thermal	ADJ
ejpam-6505	283	39	energy	energy	NOUN
ejpam-6505	283	40	into	into	ADP
ejpam-6505	283	41	kinetic	kinetic	ADJ
ejpam-6505	283	42	energy	energy	NOUN
ejpam-6505	283	43	of	of	ADP
ejpam-6505	283	44	internal	internal	ADJ
ejpam-6505	283	45	and	and	CCONJ
ejpam-6505	283	46	surface	surface	NOUN
ejpam-6505	283	47	flows	flow	NOUN
ejpam-6505	283	48	,	,	PUNCT
ejpam-6505	283	49	thus	thus	ADV
ejpam-6505	283	50	augmenting	augment	VERB
ejpam-6505	283	51	the	the	DET
ejpam-6505	283	52	overall	overall	ADJ
ejpam-6505	283	53	thermocapillary	thermocapillary	ADJ
ejpam-6505	283	54	force	force	NOUN
ejpam-6505	283	55	.	.	PUNCT
ejpam-6505	284	1	a.	a.	PROPN
ejpam-6505	284	2	s.	s.	PROPN
ejpam-6505	284	3	aamer	aamer	PROPN
ejpam-6505	284	4	,	,	PUNCT
ejpam-6505	284	5	b.	b.	PROPN
ejpam-6505	284	6	a.	a.	PROPN
ejpam-6505	284	7	ahmed	ahmed	PROPN
ejpam-6505	284	8	,	,	PUNCT
ejpam-6505	284	9	s.	s.	PROPN
ejpam-6505	284	10	a.	a.	PROPN
ejpam-6505	284	11	mahrous	mahrous	PROPN
ejpam-6505	284	12	/	/	SYM
ejpam-6505	284	13	eur	eur	PROPN
ejpam-6505	284	14	.	.	PUNCT
ejpam-6505	285	1	j.	j.	PROPN
ejpam-6505	285	2	pure	pure	PROPN
ejpam-6505	285	3	appl	appl	PROPN
ejpam-6505	285	4	.	.	PROPN
ejpam-6505	285	5	math	math	PROPN
ejpam-6505	285	6	,	,	PUNCT
ejpam-6505	285	7	18	18	NUM
ejpam-6505	285	8	(	(	PUNCT
ejpam-6505	285	9	3	3	NUM
ejpam-6505	285	10	)	)	PUNCT
ejpam-6505	285	11	(	(	PUNCT
ejpam-6505	285	12	2025	2025	NUM
ejpam-6505	285	13	)	)	PUNCT
ejpam-6505	285	14	,	,	PUNCT
ejpam-6505	285	15	6505	6505	NUM
ejpam-6505	285	16	of	of	ADP
ejpam-6505	285	17	stokes	stokes	PROPN
ejpam-6505	285	18	flow	flow	PROPN
ejpam-6505	285	19	darcian	darcian	PROPN
ejpam-6505	285	20	flow	flow	NOUN
ejpam-6505	285	21	figure	figure	NOUN
ejpam-6505	285	22	5	5	NUM
ejpam-6505	285	23	:	:	PUNCT
ejpam-6505	285	24	normalized	normalize	VERB
ejpam-6505	285	25	thermocapillary	thermocapillary	ADJ
ejpam-6505	285	26	force	force	NOUN
ejpam-6505	285	27	f	f	PROPN
ejpam-6505	285	28	∗	∗	X
ejpam-6505	285	29	t	t	PROPN
ejpam-6505	285	30	versus	versus	ADP
ejpam-6505	285	31	permeability	permeability	NOUN
ejpam-6505	285	32	parameter	parameter	NOUN
ejpam-6505	285	33	α	α	NOUN
ejpam-6505	285	34	for	for	ADP
ejpam-6505	285	35	different	different	ADJ
ejpam-6505	285	36	values	value	NOUN
ejpam-6505	285	37	of	of	ADP
ejpam-6505	285	38	viscosity	viscosity	NOUN
ejpam-6505	285	39	ratio	ratio	NOUN
ejpam-6505	285	40	σ	σ	NOUN
ejpam-6505	285	41	at	at	ADP
ejpam-6505	285	42	specific	specific	ADJ
ejpam-6505	285	43	values	value	NOUN
ejpam-6505	285	44	thermal	thermal	ADJ
ejpam-6505	285	45	conductivity	conductivity	NOUN
ejpam-6505	285	46	ratio	ratio	NOUN
ejpam-6505	285	47	(	(	PUNCT
ejpam-6505	285	48	k	k	NOUN
ejpam-6505	285	49	=	=	SYM
ejpam-6505	285	50	0	0	PROPN
ejpam-6505	285	51	,	,	PUNCT
ejpam-6505	285	52	k	k	PROPN
ejpam-6505	285	53	=	=	SYM
ejpam-6505	285	54	3	3	NUM
ejpam-6505	285	55	)	)	PUNCT
ejpam-6505	285	56	.	.	PUNCT
ejpam-6505	286	1	-3	-3	PUNCT
ejpam-6505	286	2	figure	figure	NOUN
ejpam-6505	286	3	6	6	NUM
ejpam-6505	286	4	:	:	PUNCT
ejpam-6505	286	5	normalized	normalize	VERB
ejpam-6505	286	6	thermocapillary	thermocapillary	ADJ
ejpam-6505	286	7	force	force	NOUN
ejpam-6505	286	8	f	f	PROPN
ejpam-6505	286	9	∗	∗	X
ejpam-6505	286	10	t	t	PROPN
ejpam-6505	286	11	versus	versus	ADP
ejpam-6505	286	12	viscosity	viscosity	NOUN
ejpam-6505	286	13	ratio	ratio	NOUN
ejpam-6505	286	14	σ	σ	PROPN
ejpam-6505	286	15	for	for	ADP
ejpam-6505	286	16	different	different	ADJ
ejpam-6505	286	17	values	value	NOUN
ejpam-6505	286	18	of	of	ADP
ejpam-6505	286	19	permeability	permeability	NOUN
ejpam-6505	286	20	parameter	parameter	NOUN
ejpam-6505	286	21	α	α	NOUN
ejpam-6505	286	22	at	at	ADP
ejpam-6505	286	23	specific	specific	ADJ
ejpam-6505	286	24	values	value	NOUN
ejpam-6505	286	25	of	of	ADP
ejpam-6505	286	26	thermal	thermal	ADJ
ejpam-6505	286	27	conductivity	conductivity	NOUN
ejpam-6505	286	28	ratio	ratio	NOUN
ejpam-6505	286	29	k	k	PROPN
ejpam-6505	286	30	at	at	ADP
ejpam-6505	286	31	(	(	PUNCT
ejpam-6505	286	32	k	k	NOUN
ejpam-6505	286	33	=	=	SYM
ejpam-6505	286	34	1	1	NUM
ejpam-6505	286	35	,	,	PUNCT
ejpam-6505	286	36	k	k	NOUN
ejpam-6505	286	37	=	=	NOUN
ejpam-6505	286	38	10	10	NUM
ejpam-6505	286	39	)	)	PUNCT
ejpam-6505	286	40	.	.	PUNCT
ejpam-6505	287	1	a.	a.	PROPN
ejpam-6505	287	2	s.	s.	PROPN
ejpam-6505	287	3	aamer	aamer	PROPN
ejpam-6505	287	4	,	,	PUNCT
ejpam-6505	287	5	b.	b.	PROPN
ejpam-6505	287	6	a.	a.	PROPN
ejpam-6505	287	7	ahmed	ahmed	PROPN
ejpam-6505	287	8	,	,	PUNCT
ejpam-6505	287	9	s.	s.	PROPN
ejpam-6505	287	10	a.	a.	PROPN
ejpam-6505	287	11	mahrous	mahrous	PROPN
ejpam-6505	287	12	/	/	SYM
ejpam-6505	287	13	eur	eur	PROPN
ejpam-6505	287	14	.	.	PUNCT
ejpam-6505	288	1	j.	j.	PROPN
ejpam-6505	288	2	pure	pure	PROPN
ejpam-6505	288	3	appl	appl	PROPN
ejpam-6505	288	4	.	.	PROPN
ejpam-6505	288	5	math	math	PROPN
ejpam-6505	288	6	,	,	PUNCT
ejpam-6505	288	7	18	18	NUM
ejpam-6505	288	8	(	(	PUNCT
ejpam-6505	288	9	3	3	NUM
ejpam-6505	288	10	)	)	PUNCT
ejpam-6505	288	11	(	(	PUNCT
ejpam-6505	288	12	2025	2025	NUM
ejpam-6505	288	13	)	)	PUNCT
ejpam-6505	288	14	,	,	PUNCT
ejpam-6505	288	15	6505	6505	NUM
ejpam-6505	288	16	of	of	ADP
ejpam-6505	288	17	the	the	DET
ejpam-6505	288	18	inverse	inverse	NOUN
ejpam-6505	288	19	relationship	relationship	NOUN
ejpam-6505	288	20	between	between	ADP
ejpam-6505	288	21	the	the	DET
ejpam-6505	288	22	non	non	ADJ
ejpam-6505	288	23	-	-	ADJ
ejpam-6505	288	24	dimensional	dimensional	ADJ
ejpam-6505	288	25	thermocapillary	thermocapillary	ADJ
ejpam-6505	288	26	force	force	NOUN
ejpam-6505	288	27	f	f	PROPN
ejpam-6505	288	28	∗	∗	NOUN
ejpam-6505	288	29	t	t	PROPN
ejpam-6505	288	30	and	and	CCONJ
ejpam-6505	288	31	the	the	DET
ejpam-6505	288	32	viscosity	viscosity	NOUN
ejpam-6505	288	33	ratio	ratio	NOUN
ejpam-6505	288	34	σ	σ	PROPN
ejpam-6505	288	35	,	,	PUNCT
ejpam-6505	288	36	as	as	SCONJ
ejpam-6505	288	37	depicted	depict	VERB
ejpam-6505	288	38	in	in	ADP
ejpam-6505	288	39	fig	fig	NOUN
ejpam-6505	288	40	.	.	PUNCT
ejpam-6505	289	1	6	6	NUM
ejpam-6505	289	2	,	,	PUNCT
ejpam-6505	289	3	is	be	AUX
ejpam-6505	289	4	primarily	primarily	ADV
ejpam-6505	289	5	attributable	attributable	ADJ
ejpam-6505	289	6	to	to	ADP
ejpam-6505	289	7	the	the	DET
ejpam-6505	289	8	augmented	augment	VERB
ejpam-6505	289	9	internal	internal	ADJ
ejpam-6505	289	10	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	289	11	resistance	resistance	NOUN
ejpam-6505	289	12	within	within	ADP
ejpam-6505	289	13	the	the	DET
ejpam-6505	289	14	droplet	droplet	NOUN
ejpam-6505	289	15	.	.	PUNCT
ejpam-6505	290	1	an	an	DET
ejpam-6505	290	2	elevated	elevated	ADJ
ejpam-6505	290	3	σ	σ	PROPN
ejpam-6505	290	4	,	,	PUNCT
ejpam-6505	290	5	corresponding	correspond	VERB
ejpam-6505	290	6	to	to	ADP
ejpam-6505	290	7	an	an	DET
ejpam-6505	290	8	increased	increase	VERB
ejpam-6505	290	9	internal	internal	ADJ
ejpam-6505	290	10	droplet	droplet	ADJ
ejpam-6505	290	11	viscosity	viscosity	NOUN
ejpam-6505	290	12	,	,	PUNCT
ejpam-6505	290	13	intensifies	intensify	VERB
ejpam-6505	290	14	the	the	DET
ejpam-6505	290	15	viscous	viscous	ADJ
ejpam-6505	290	16	dissipation	dissipation	NOUN
ejpam-6505	290	17	of	of	ADP
ejpam-6505	290	18	mechanical	mechanical	ADJ
ejpam-6505	290	19	energy	energy	NOUN
ejpam-6505	290	20	derived	derive	VERB
ejpam-6505	290	21	from	from	ADP
ejpam-6505	290	22	the	the	DET
ejpam-6505	290	23	temperature	temperature	NOUN
ejpam-6505	290	24	-	-	PUNCT
ejpam-6505	290	25	gradient	gradient	NOUN
ejpam-6505	290	26	-	-	PUNCT
ejpam-6505	290	27	induced	induce	VERB
ejpam-6505	290	28	marangoni	marangoni	NOUN
ejpam-6505	290	29	stresses	stress	NOUN
ejpam-6505	290	30	at	at	ADP
ejpam-6505	290	31	the	the	DET
ejpam-6505	290	32	interface	interface	NOUN
ejpam-6505	290	33	.	.	PUNCT
ejpam-6505	291	1	this	this	DET
ejpam-6505	291	2	increased	increase	VERB
ejpam-6505	291	3	internal	internal	ADJ
ejpam-6505	291	4	dissipation	dissipation	NOUN
ejpam-6505	291	5	not	not	PART
ejpam-6505	291	6	only	only	ADV
ejpam-6505	291	7	impedes	impede	VERB
ejpam-6505	291	8	the	the	DET
ejpam-6505	291	9	establishment	establishment	NOUN
ejpam-6505	291	10	of	of	ADP
ejpam-6505	291	11	robust	robust	ADJ
ejpam-6505	291	12	internal	internal	ADJ
ejpam-6505	291	13	convective	convective	ADJ
ejpam-6505	291	14	flows	flow	NOUN
ejpam-6505	291	15	,	,	PUNCT
ejpam-6505	291	16	but	but	CCONJ
ejpam-6505	291	17	also	also	ADV
ejpam-6505	291	18	diminishes	diminish	VERB
ejpam-6505	291	19	the	the	DET
ejpam-6505	291	20	droplet	droplet	ADJ
ejpam-6505	291	21	’s	’s	PART
ejpam-6505	291	22	surface	surface	NOUN
ejpam-6505	291	23	mobility	mobility	NOUN
ejpam-6505	291	24	.	.	PUNCT
ejpam-6505	292	1	given	give	VERB
ejpam-6505	292	2	that	that	SCONJ
ejpam-6505	292	3	the	the	DET
ejpam-6505	292	4	net	net	ADJ
ejpam-6505	292	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	292	6	force	force	NOUN
ejpam-6505	292	7	is	be	AUX
ejpam-6505	292	8	a	a	DET
ejpam-6505	292	9	manifestation	manifestation	NOUN
ejpam-6505	292	10	of	of	ADP
ejpam-6505	292	11	the	the	DET
ejpam-6505	292	12	efficient	efficient	ADJ
ejpam-6505	292	13	conversion	conversion	NOUN
ejpam-6505	292	14	of	of	ADP
ejpam-6505	292	15	these	these	DET
ejpam-6505	292	16	interfacial	interfacial	ADJ
ejpam-6505	292	17	stresses	stress	NOUN
ejpam-6505	292	18	into	into	ADP
ejpam-6505	292	19	coherent	coherent	ADJ
ejpam-6505	292	20	internal	internal	ADJ
ejpam-6505	292	21	and	and	CCONJ
ejpam-6505	292	22	surface	surface	NOUN
ejpam-6505	292	23	kinematics	kinematic	NOUN
ejpam-6505	292	24	,	,	PUNCT
ejpam-6505	292	25	an	an	DET
ejpam-6505	292	26	elevated	elevated	ADJ
ejpam-6505	292	27	internal	internal	ADJ
ejpam-6505	292	28	viscosity	viscosity	NOUN
ejpam-6505	292	29	inherently	inherently	ADV
ejpam-6505	292	30	diminishes	diminish	VERB
ejpam-6505	292	31	the	the	DET
ejpam-6505	292	32	efficiency	efficiency	NOUN
ejpam-6505	292	33	of	of	ADP
ejpam-6505	292	34	converting	convert	VERB
ejpam-6505	292	35	interfacial	interfacial	ADJ
ejpam-6505	292	36	energy	energy	NOUN
ejpam-6505	292	37	into	into	ADP
ejpam-6505	292	38	directed	direct	VERB
ejpam-6505	292	39	motion	motion	NOUN
ejpam-6505	292	40	,	,	PUNCT
ejpam-6505	292	41	leading	lead	VERB
ejpam-6505	292	42	to	to	ADP
ejpam-6505	292	43	an	an	DET
ejpam-6505	292	44	attenuated	attenuate	VERB
ejpam-6505	292	45	propulsive	propulsive	ADJ
ejpam-6505	292	46	force	force	NOUN
ejpam-6505	292	47	irrespective	irrespective	ADV
ejpam-6505	292	48	of	of	ADP
ejpam-6505	292	49	the	the	DET
ejpam-6505	292	50	specific	specific	ADJ
ejpam-6505	292	51	values	value	NOUN
ejpam-6505	292	52	of	of	ADP
ejpam-6505	292	53	the	the	DET
ejpam-6505	292	54	thermal	thermal	ADJ
ejpam-6505	292	55	conductivity	conductivity	NOUN
ejpam-6505	292	56	ratio	ratio	NOUN
ejpam-6505	292	57	k	k	PROPN
ejpam-6505	292	58	or	or	CCONJ
ejpam-6505	293	1	permeability	permeability	NOUN
ejpam-6505	293	2	α	α	NOUN
ejpam-6505	293	3	.	.	PUNCT
ejpam-6505	293	4	figure	figure	NOUN
ejpam-6505	293	5	7	7	NUM
ejpam-6505	293	6	:	:	PUNCT
ejpam-6505	293	7	normalized	normalize	VERB
ejpam-6505	293	8	thermocapillary	thermocapillary	ADJ
ejpam-6505	293	9	force	force	NOUN
ejpam-6505	293	10	f	f	PROPN
ejpam-6505	293	11	∗	∗	X
ejpam-6505	293	12	t	t	PROPN
ejpam-6505	293	13	versus	versus	ADP
ejpam-6505	293	14	thermal	thermal	ADJ
ejpam-6505	293	15	conductivity	conductivity	NOUN
ejpam-6505	293	16	ratio	ratio	NOUN
ejpam-6505	293	17	k	k	PROPN
ejpam-6505	293	18	for	for	ADP
ejpam-6505	293	19	different	different	ADJ
ejpam-6505	293	20	values	value	NOUN
ejpam-6505	293	21	of	of	ADP
ejpam-6505	293	22	permeability	permeability	NOUN
ejpam-6505	293	23	parameter	parameter	NOUN
ejpam-6505	293	24	α	α	NOUN
ejpam-6505	293	25	at	at	ADP
ejpam-6505	293	26	specific	specific	ADJ
ejpam-6505	293	27	values	value	NOUN
ejpam-6505	293	28	of	of	ADP
ejpam-6505	293	29	viscosity	viscosity	NOUN
ejpam-6505	293	30	ratio	ratio	NOUN
ejpam-6505	293	31	σ	σ	PROPN
ejpam-6505	293	32	at	at	ADP
ejpam-6505	293	33	(	(	PUNCT
ejpam-6505	293	34	σ	σ	NOUN
ejpam-6505	293	35	=	=	SYM
ejpam-6505	293	36	1	1	NUM
ejpam-6505	293	37	,	,	PUNCT
ejpam-6505	293	38	σ	σ	NOUN
ejpam-6505	293	39	=	=	NOUN
ejpam-6505	293	40	10	10	NUM
ejpam-6505	293	41	)	)	PUNCT
ejpam-6505	293	42	.	.	PUNCT
ejpam-6505	294	1	a.	a.	PROPN
ejpam-6505	294	2	s.	s.	PROPN
ejpam-6505	294	3	aamer	aamer	PROPN
ejpam-6505	294	4	,	,	PUNCT
ejpam-6505	294	5	b.	b.	PROPN
ejpam-6505	294	6	a.	a.	PROPN
ejpam-6505	294	7	ahmed	ahmed	PROPN
ejpam-6505	294	8	,	,	PUNCT
ejpam-6505	294	9	s.	s.	PROPN
ejpam-6505	294	10	a.	a.	PROPN
ejpam-6505	294	11	mahrous	mahrous	PROPN
ejpam-6505	294	12	/	/	SYM
ejpam-6505	294	13	eur	eur	PROPN
ejpam-6505	294	14	.	.	PUNCT
ejpam-6505	295	1	j.	j.	PROPN
ejpam-6505	295	2	pure	pure	PROPN
ejpam-6505	295	3	appl	appl	PROPN
ejpam-6505	295	4	.	.	PROPN
ejpam-6505	295	5	math	math	PROPN
ejpam-6505	295	6	,	,	PUNCT
ejpam-6505	295	7	18	18	NUM
ejpam-6505	295	8	(	(	PUNCT
ejpam-6505	295	9	3	3	NUM
ejpam-6505	295	10	)	)	PUNCT
ejpam-6505	295	11	(	(	PUNCT
ejpam-6505	295	12	2025	2025	NUM
ejpam-6505	295	13	)	)	PUNCT
ejpam-6505	295	14	,	,	PUNCT
ejpam-6505	295	15	6505	6505	NUM
ejpam-6505	295	16	of	of	ADP
ejpam-6505	295	17	figure	figure	NOUN
ejpam-6505	295	18	8	8	NUM
ejpam-6505	295	19	:	:	PUNCT
ejpam-6505	295	20	ut	ut	PROPN
ejpam-6505	295	21	/u0	/u0	PROPN
ejpam-6505	295	22	versus	versus	ADP
ejpam-6505	295	23	permeability	permeability	NOUN
ejpam-6505	295	24	parameter	parameter	NOUN
ejpam-6505	295	25	α	α	NOUN
ejpam-6505	295	26	for	for	ADP
ejpam-6505	295	27	different	different	ADJ
ejpam-6505	295	28	values	value	NOUN
ejpam-6505	295	29	of	of	ADP
ejpam-6505	295	30	viscosity	viscosity	NOUN
ejpam-6505	295	31	ratio	ratio	NOUN
ejpam-6505	295	32	σ	σ	PROPN
ejpam-6505	295	33	.	.	PUNCT
ejpam-6505	296	1	the	the	DET
ejpam-6505	296	2	observed	observe	VERB
ejpam-6505	296	3	dependencies	dependency	NOUN
ejpam-6505	296	4	of	of	ADP
ejpam-6505	296	5	the	the	DET
ejpam-6505	296	6	non	non	ADJ
ejpam-6505	296	7	-	-	ADJ
ejpam-6505	296	8	dimensional	dimensional	ADJ
ejpam-6505	296	9	thermocapillary	thermocapillary	ADJ
ejpam-6505	296	10	force	force	NOUN
ejpam-6505	296	11	f	f	PROPN
ejpam-6505	296	12	∗	∗	NOUN
ejpam-6505	296	13	t	t	PROPN
ejpam-6505	296	14	and	and	CCONJ
ejpam-6505	296	15	the	the	DET
ejpam-6505	296	16	normalized	normalize	VERB
ejpam-6505	296	17	translational	translational	ADJ
ejpam-6505	296	18	velocity	velocity	NOUN
ejpam-6505	296	19	ut	ut	PROPN
ejpam-6505	296	20	/u0	/u0	PROPN
ejpam-6505	296	21	on	on	ADP
ejpam-6505	296	22	the	the	DET
ejpam-6505	296	23	thermal	thermal	ADJ
ejpam-6505	296	24	conductivity	conductivity	NOUN
ejpam-6505	296	25	ratio	ratio	NOUN
ejpam-6505	296	26	k	k	PROPN
ejpam-6505	296	27	,	,	PUNCT
ejpam-6505	296	28	permeability	permeability	NOUN
ejpam-6505	296	29	parameter	parameter	NOUN
ejpam-6505	296	30	α	α	NOUN
ejpam-6505	296	31	,	,	PUNCT
ejpam-6505	296	32	and	and	CCONJ
ejpam-6505	296	33	viscosity	viscosity	NOUN
ejpam-6505	296	34	ratio	ratio	NOUN
ejpam-6505	296	35	σ	σ	PROPN
ejpam-6505	296	36	,	,	PUNCT
ejpam-6505	296	37	as	as	SCONJ
ejpam-6505	296	38	illustrated	illustrate	VERB
ejpam-6505	296	39	in	in	ADP
ejpam-6505	296	40	figures	figure	NOUN
ejpam-6505	296	41	7	7	NUM
ejpam-6505	296	42	,	,	PUNCT
ejpam-6505	296	43	8	8	NUM
ejpam-6505	296	44	,	,	PUNCT
ejpam-6505	296	45	and	and	CCONJ
ejpam-6505	296	46	9	9	NUM
ejpam-6505	296	47	,	,	PUNCT
ejpam-6505	296	48	provide	provide	VERB
ejpam-6505	296	49	critical	critical	ADJ
ejpam-6505	296	50	insights	insight	NOUN
ejpam-6505	296	51	into	into	ADP
ejpam-6505	296	52	the	the	DET
ejpam-6505	296	53	physics	physics	NOUN
ejpam-6505	296	54	governing	govern	VERB
ejpam-6505	296	55	thermocapillary	thermocapillary	ADJ
ejpam-6505	296	56	migration	migration	NOUN
ejpam-6505	296	57	within	within	ADP
ejpam-6505	296	58	a	a	DET
ejpam-6505	296	59	porous	porous	ADJ
ejpam-6505	296	60	medium	medium	NOUN
ejpam-6505	296	61	,	,	PUNCT
ejpam-6505	296	62	which	which	PRON
ejpam-6505	296	63	align	align	VERB
ejpam-6505	296	64	broadly	broadly	ADV
ejpam-6505	296	65	with	with	ADP
ejpam-6505	296	66	and	and	CCONJ
ejpam-6505	296	67	extend	extend	VERB
ejpam-6505	296	68	established	establish	VERB
ejpam-6505	296	69	principles	principle	NOUN
ejpam-6505	296	70	of	of	ADP
ejpam-6505	296	71	thermocapillary	thermocapillary	ADJ
ejpam-6505	296	72	migration	migration	NOUN
ejpam-6505	296	73	and	and	CCONJ
ejpam-6505	296	74	droplet	droplet	ADJ
ejpam-6505	296	75	dynamics	dynamic	NOUN
ejpam-6505	296	76	in	in	ADP
ejpam-6505	296	77	complex	complex	ADJ
ejpam-6505	296	78	environments	environment	NOUN
ejpam-6505	296	79	.	.	PUNCT
ejpam-6505	297	1	specifically	specifically	ADV
ejpam-6505	297	2	,	,	PUNCT
ejpam-6505	297	3	fig	fig	NOUN
ejpam-6505	297	4	.	.	PUNCT
ejpam-6505	297	5	7	7	NUM
ejpam-6505	297	6	reveals	reveal	VERB
ejpam-6505	297	7	that	that	SCONJ
ejpam-6505	297	8	f	f	PROPN
ejpam-6505	297	9	∗	∗	NOUN
ejpam-6505	297	10	t	t	PROPN
ejpam-6505	297	11	decreases	decrease	VERB
ejpam-6505	297	12	monotonically	monotonically	ADV
ejpam-6505	297	13	with	with	ADP
ejpam-6505	297	14	an	an	DET
ejpam-6505	297	15	increasing	increase	VERB
ejpam-6505	297	16	thermal	thermal	ADJ
ejpam-6505	297	17	conductivity	conductivity	NOUN
ejpam-6505	297	18	ratio	ratio	NOUN
ejpam-6505	297	19	k.	k.	PROPN
ejpam-6505	298	1	this	this	DET
ejpam-6505	298	2	phenomenon	phenomenon	NOUN
ejpam-6505	298	3	arises	arise	VERB
ejpam-6505	298	4	because	because	SCONJ
ejpam-6505	298	5	a	a	DET
ejpam-6505	298	6	higher	high	ADJ
ejpam-6505	298	7	k	k	PROPN
ejpam-6505	298	8	implies	imply	VERB
ejpam-6505	298	9	that	that	SCONJ
ejpam-6505	298	10	the	the	DET
ejpam-6505	298	11	droplet	droplet	NOUN
ejpam-6505	298	12	is	be	AUX
ejpam-6505	298	13	more	more	ADV
ejpam-6505	298	14	thermally	thermally	ADV
ejpam-6505	298	15	conductive	conductive	ADJ
ejpam-6505	298	16	relative	relative	ADJ
ejpam-6505	298	17	to	to	ADP
ejpam-6505	298	18	its	its	PRON
ejpam-6505	298	19	surroundings	surrounding	NOUN
ejpam-6505	298	20	.	.	PUNCT
ejpam-6505	299	1	consequently	consequently	ADV
ejpam-6505	299	2	,	,	PUNCT
ejpam-6505	299	3	heat	heat	NOUN
ejpam-6505	299	4	diffuses	diffuse	VERB
ejpam-6505	299	5	more	more	ADV
ejpam-6505	299	6	readily	readily	ADV
ejpam-6505	299	7	through	through	ADP
ejpam-6505	299	8	the	the	DET
ejpam-6505	299	9	droplet	droplet	ADJ
ejpam-6505	299	10	bulk	bulk	NOUN
ejpam-6505	299	11	,	,	PUNCT
ejpam-6505	299	12	which	which	PRON
ejpam-6505	299	13	can	can	AUX
ejpam-6505	299	14	lead	lead	VERB
ejpam-6505	299	15	to	to	ADP
ejpam-6505	299	16	a	a	DET
ejpam-6505	299	17	homogenization	homogenization	NOUN
ejpam-6505	299	18	of	of	ADP
ejpam-6505	299	19	the	the	DET
ejpam-6505	299	20	droplet	droplet	ADJ
ejpam-6505	299	21	’s	’s	PART
ejpam-6505	299	22	internal	internal	ADJ
ejpam-6505	299	23	temperature	temperature	NOUN
ejpam-6505	299	24	and	and	CCONJ
ejpam-6505	299	25	thereby	thereby	ADV
ejpam-6505	299	26	reduce	reduce	VERB
ejpam-6505	299	27	the	the	DET
ejpam-6505	299	28	magnitude	magnitude	NOUN
ejpam-6505	299	29	of	of	ADP
ejpam-6505	299	30	the	the	DET
ejpam-6505	299	31	temperature	temperature	NOUN
ejpam-6505	299	32	gradient	gradient	NOUN
ejpam-6505	299	33	sustained	sustain	VERB
ejpam-6505	299	34	along	along	ADP
ejpam-6505	299	35	its	its	PRON
ejpam-6505	299	36	interface	interface	NOUN
ejpam-6505	299	37	.	.	PUNCT
ejpam-6505	300	1	a	a	DET
ejpam-6505	300	2	diminished	diminish	VERB
ejpam-6505	300	3	interfacial	interfacial	ADJ
ejpam-6505	300	4	temperature	temperature	NOUN
ejpam-6505	300	5	gradient	gradient	NOUN
ejpam-6505	300	6	directly	directly	ADV
ejpam-6505	300	7	translates	translate	VERB
ejpam-6505	300	8	to	to	ADP
ejpam-6505	300	9	weaker	weak	ADJ
ejpam-6505	300	10	marangoni	marangoni	NOUN
ejpam-6505	300	11	stresses	stress	NOUN
ejpam-6505	300	12	,	,	PUNCT
ejpam-6505	300	13	which	which	PRON
ejpam-6505	300	14	are	be	AUX
ejpam-6505	300	15	the	the	DET
ejpam-6505	300	16	driving	drive	VERB
ejpam-6505	300	17	mechanism	mechanism	NOUN
ejpam-6505	300	18	for	for	ADP
ejpam-6505	300	19	thermocapillary	thermocapillary	ADJ
ejpam-6505	300	20	motion	motion	NOUN
ejpam-6505	300	21	,	,	PUNCT
ejpam-6505	300	22	thus	thus	ADV
ejpam-6505	300	23	resulting	result	VERB
ejpam-6505	300	24	in	in	ADP
ejpam-6505	300	25	a	a	DET
ejpam-6505	300	26	lower	low	ADJ
ejpam-6505	300	27	propulsive	propulsive	ADJ
ejpam-6505	300	28	force	force	NOUN
ejpam-6505	300	29	and	and	CCONJ
ejpam-6505	300	30	velocity	velocity	NOUN
ejpam-6505	300	31	,	,	PUNCT
ejpam-6505	300	32	which	which	PRON
ejpam-6505	300	33	is	be	AUX
ejpam-6505	300	34	consistent	consistent	ADJ
ejpam-6505	300	35	with	with	ADP
ejpam-6505	300	36	foundational	foundational	ADJ
ejpam-6505	300	37	theories	theory	NOUN
ejpam-6505	300	38	[	[	X
ejpam-6505	300	39	4	4	NUM
ejpam-6505	300	40	,	,	PUNCT
ejpam-6505	300	41	6	6	NUM
ejpam-6505	300	42	]	]	PUNCT
ejpam-6505	300	43	.	.	PUNCT
ejpam-6505	301	1	a.	a.	PROPN
ejpam-6505	301	2	s.	s.	PROPN
ejpam-6505	301	3	aamer	aamer	PROPN
ejpam-6505	301	4	,	,	PUNCT
ejpam-6505	301	5	b.	b.	PROPN
ejpam-6505	301	6	a.	a.	PROPN
ejpam-6505	301	7	ahmed	ahmed	PROPN
ejpam-6505	301	8	,	,	PUNCT
ejpam-6505	301	9	s.	s.	PROPN
ejpam-6505	301	10	a.	a.	PROPN
ejpam-6505	301	11	mahrous	mahrous	PROPN
ejpam-6505	301	12	/	/	SYM
ejpam-6505	301	13	eur	eur	PROPN
ejpam-6505	301	14	.	.	PUNCT
ejpam-6505	302	1	j.	j.	PROPN
ejpam-6505	302	2	pure	pure	PROPN
ejpam-6505	302	3	appl	appl	PROPN
ejpam-6505	302	4	.	.	PROPN
ejpam-6505	302	5	math	math	PROPN
ejpam-6505	302	6	,	,	PUNCT
ejpam-6505	302	7	18	18	NUM
ejpam-6505	302	8	(	(	PUNCT
ejpam-6505	302	9	3	3	NUM
ejpam-6505	302	10	)	)	PUNCT
ejpam-6505	302	11	(	(	PUNCT
ejpam-6505	302	12	2025	2025	NUM
ejpam-6505	302	13	)	)	PUNCT
ejpam-6505	302	14	,	,	PUNCT
ejpam-6505	302	15	6505	6505	NUM
ejpam-6505	302	16	of	of	ADP
ejpam-6505	302	17	figure	figure	NOUN
ejpam-6505	302	18	9	9	NUM
ejpam-6505	302	19	:	:	PUNCT
ejpam-6505	302	20	ut	ut	PROPN
ejpam-6505	302	21	/u0	/u0	PROPN
ejpam-6505	302	22	versus	versus	ADP
ejpam-6505	302	23	viscosity	viscosity	NOUN
ejpam-6505	302	24	ratio	ratio	NOUN
ejpam-6505	302	25	σ	σ	PROPN
ejpam-6505	302	26	for	for	ADP
ejpam-6505	302	27	different	different	ADJ
ejpam-6505	302	28	values	value	NOUN
ejpam-6505	302	29	of	of	ADP
ejpam-6505	302	30	permeability	permeability	NOUN
ejpam-6505	302	31	parameter	parameter	NOUN
ejpam-6505	302	32	α	α	X
ejpam-6505	302	33	.	.	PUNCT
ejpam-6505	303	1	figure	figure	NOUN
ejpam-6505	303	2	10	10	NUM
ejpam-6505	303	3	:	:	PUNCT
ejpam-6505	303	4	normalized	normalize	VERB
ejpam-6505	303	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	303	6	velocity	velocity	NOUN
ejpam-6505	303	7	u∗	u∗	PROPN
ejpam-6505	303	8	t	t	PROPN
ejpam-6505	303	9	versus	versus	X
ejpam-6505	303	10	thermal	thermal	ADJ
ejpam-6505	303	11	conductivity	conductivity	NOUN
ejpam-6505	303	12	ratio	ratio	NOUN
ejpam-6505	303	13	k	k	PROPN
ejpam-6505	303	14	for	for	ADP
ejpam-6505	303	15	different	different	ADJ
ejpam-6505	303	16	values	value	NOUN
ejpam-6505	303	17	of	of	ADP
ejpam-6505	303	18	permeability	permeability	NOUN
ejpam-6505	303	19	parameter	parameter	NOUN
ejpam-6505	303	20	α	α	NOUN
ejpam-6505	303	21	at	at	ADP
ejpam-6505	303	22	specific	specific	ADJ
ejpam-6505	303	23	values	value	NOUN
ejpam-6505	303	24	of	of	ADP
ejpam-6505	303	25	viscosity	viscosity	NOUN
ejpam-6505	303	26	ratio(σ	ratio(σ	NOUN
ejpam-6505	303	27	=	=	SYM
ejpam-6505	303	28	0.5	0.5	NUM
ejpam-6505	303	29	,	,	PUNCT
ejpam-6505	303	30	σ	σ	NOUN
ejpam-6505	303	31	=	=	SYM
ejpam-6505	303	32	2	2	NUM
ejpam-6505	303	33	)	)	PUNCT
ejpam-6505	303	34	.	.	PUNCT
ejpam-6505	304	1	a.	a.	PROPN
ejpam-6505	304	2	s.	s.	PROPN
ejpam-6505	304	3	aamer	aamer	PROPN
ejpam-6505	304	4	,	,	PUNCT
ejpam-6505	304	5	b.	b.	PROPN
ejpam-6505	304	6	a.	a.	PROPN
ejpam-6505	304	7	ahmed	ahmed	PROPN
ejpam-6505	304	8	,	,	PUNCT
ejpam-6505	304	9	s.	s.	PROPN
ejpam-6505	304	10	a.	a.	PROPN
ejpam-6505	304	11	mahrous	mahrous	PROPN
ejpam-6505	304	12	/	/	SYM
ejpam-6505	304	13	eur	eur	PROPN
ejpam-6505	304	14	.	.	PUNCT
ejpam-6505	305	1	j.	j.	PROPN
ejpam-6505	305	2	pure	pure	PROPN
ejpam-6505	305	3	appl	appl	PROPN
ejpam-6505	305	4	.	.	PROPN
ejpam-6505	305	5	math	math	PROPN
ejpam-6505	305	6	,	,	PUNCT
ejpam-6505	305	7	18	18	NUM
ejpam-6505	305	8	(	(	PUNCT
ejpam-6505	305	9	3	3	NUM
ejpam-6505	305	10	)	)	PUNCT
ejpam-6505	305	11	(	(	PUNCT
ejpam-6505	305	12	2025	2025	NUM
ejpam-6505	305	13	)	)	PUNCT
ejpam-6505	305	14	,	,	PUNCT
ejpam-6505	305	15	6505	6505	NUM
ejpam-6505	305	16	of	of	ADP
ejpam-6505	305	17	figure	figure	NOUN
ejpam-6505	305	18	11	11	NUM
ejpam-6505	305	19	:	:	PUNCT
ejpam-6505	305	20	normalized	normalize	VERB
ejpam-6505	305	21	thermocapillary	thermocapillary	ADJ
ejpam-6505	305	22	velocity	velocity	NOUN
ejpam-6505	305	23	u∗	u∗	PROPN
ejpam-6505	305	24	t	t	PROPN
ejpam-6505	305	25	versus	versus	X
ejpam-6505	305	26	thermal	thermal	ADJ
ejpam-6505	305	27	conductivity	conductivity	NOUN
ejpam-6505	305	28	ratio	ratio	NOUN
ejpam-6505	305	29	k	k	PROPN
ejpam-6505	305	30	for	for	ADP
ejpam-6505	305	31	different	different	ADJ
ejpam-6505	305	32	values	value	NOUN
ejpam-6505	305	33	of	of	ADP
ejpam-6505	305	34	viscosity	viscosity	NOUN
ejpam-6505	305	35	ratio	ratio	NOUN
ejpam-6505	305	36	σ	σ	NOUN
ejpam-6505	305	37	at	at	ADP
ejpam-6505	305	38	specific	specific	ADJ
ejpam-6505	305	39	values	value	NOUN
ejpam-6505	305	40	of	of	ADP
ejpam-6505	305	41	permeability	permeability	NOUN
ejpam-6505	305	42	parameter(α	parameter(α	NOUN
ejpam-6505	305	43	=	=	SYM
ejpam-6505	305	44	0	0	NUM
ejpam-6505	305	45	,	,	PUNCT
ejpam-6505	305	46	α	α	NOUN
ejpam-6505	305	47	=	=	NOUN
ejpam-6505	305	48	20	20	NUM
ejpam-6505	305	49	)	)	PUNCT
ejpam-6505	305	50	.	.	PUNCT
ejpam-6505	306	1	furthermore	furthermore	ADV
ejpam-6505	306	2	,	,	PUNCT
ejpam-6505	306	3	the	the	DET
ejpam-6505	306	4	corresponding	corresponding	ADJ
ejpam-6505	306	5	trends	trend	NOUN
ejpam-6505	306	6	observed	observe	VERB
ejpam-6505	306	7	for	for	ADP
ejpam-6505	306	8	ut	ut	PROPN
ejpam-6505	306	9	/u0	/u0	PROPN
ejpam-6505	306	10	with	with	ADP
ejpam-6505	306	11	respect	respect	NOUN
ejpam-6505	306	12	to	to	ADP
ejpam-6505	306	13	the	the	DET
ejpam-6505	306	14	permeability	permeability	NOUN
ejpam-6505	306	15	parameter	parameter	NOUN
ejpam-6505	306	16	α	α	NOUN
ejpam-6505	306	17	,	,	PUNCT
ejpam-6505	306	18	fig	fig	NOUN
ejpam-6505	306	19	.	.	NOUN
ejpam-6505	306	20	8	8	NUM
ejpam-6505	306	21	and	and	CCONJ
ejpam-6505	306	22	the	the	DET
ejpam-6505	306	23	viscosity	viscosity	NOUN
ejpam-6505	306	24	ratio	ratio	NOUN
ejpam-6505	306	25	σ	σ	PROPN
ejpam-6505	306	26	,	,	PUNCT
ejpam-6505	306	27	fig	fig	NOUN
ejpam-6505	306	28	.	.	PUNCT
ejpam-6505	306	29	9	9	NUM
ejpam-6505	306	30	,	,	PUNCT
ejpam-6505	306	31	mirroring	mirror	VERB
ejpam-6505	306	32	the	the	DET
ejpam-6505	306	33	behavior	behavior	NOUN
ejpam-6505	306	34	of	of	ADP
ejpam-6505	306	35	f	f	PROPN
ejpam-6505	306	36	∗	∗	PROPN
ejpam-6505	306	37	t	t	PROPN
ejpam-6505	306	38	,	,	PUNCT
ejpam-6505	306	39	underscore	underscore	VERB
ejpam-6505	306	40	the	the	DET
ejpam-6505	306	41	direct	direct	ADJ
ejpam-6505	306	42	translation	translation	NOUN
ejpam-6505	306	43	of	of	ADP
ejpam-6505	306	44	induced	induced	ADJ
ejpam-6505	306	45	force	force	NOUN
ejpam-6505	306	46	into	into	ADP
ejpam-6505	306	47	droplet	droplet	ADJ
ejpam-6505	306	48	kinematics	kinematic	NOUN
ejpam-6505	306	49	.	.	PUNCT
ejpam-6505	307	1	an	an	DET
ejpam-6505	307	2	increase	increase	NOUN
ejpam-6505	307	3	in	in	ADP
ejpam-6505	307	4	α	α	NOUN
ejpam-6505	307	5	,	,	PUNCT
ejpam-6505	307	6	signifying	signify	VERB
ejpam-6505	307	7	reduced	reduce	VERB
ejpam-6505	307	8	internal	internal	ADJ
ejpam-6505	307	9	resistance	resistance	NOUN
ejpam-6505	307	10	to	to	PART
ejpam-6505	307	11	flow	flow	VERB
ejpam-6505	307	12	or	or	CCONJ
ejpam-6505	307	13	enhanced	enhance	VERB
ejpam-6505	307	14	ease	ease	NOUN
ejpam-6505	307	15	of	of	ADP
ejpam-6505	307	16	navigating	navigate	VERB
ejpam-6505	307	17	the	the	DET
ejpam-6505	307	18	porous	porous	ADJ
ejpam-6505	307	19	matrix	matrix	NOUN
ejpam-6505	307	20	,	,	PUNCT
ejpam-6505	307	21	facilitates	facilitate	VERB
ejpam-6505	307	22	more	more	ADV
ejpam-6505	307	23	powerful	powerful	ADJ
ejpam-6505	307	24	internal	internal	ADJ
ejpam-6505	307	25	circulation	circulation	NOUN
ejpam-6505	307	26	and	and	CCONJ
ejpam-6505	307	27	droplet	droplet	ADJ
ejpam-6505	307	28	deformation	deformation	NOUN
ejpam-6505	307	29	in	in	ADP
ejpam-6505	307	30	response	response	NOUN
ejpam-6505	307	31	to	to	ADP
ejpam-6505	307	32	marangoni	marangoni	NOUN
ejpam-6505	307	33	stresses	stress	NOUN
ejpam-6505	307	34	,	,	PUNCT
ejpam-6505	307	35	thereby	thereby	ADV
ejpam-6505	307	36	augmenting	augment	VERB
ejpam-6505	307	37	ut	ut	PROPN
ejpam-6505	307	38	/u0	/u0	PROPN
ejpam-6505	307	39	.	.	PUNCT
ejpam-6505	308	1	the	the	DET
ejpam-6505	308	2	intriguing	intriguing	ADJ
ejpam-6505	308	3	limit	limit	NOUN
ejpam-6505	308	4	where	where	SCONJ
ejpam-6505	308	5	limα→0	limα→0	ADJ
ejpam-6505	308	6	ut	ut	PROPN
ejpam-6505	308	7	/u0	/u0	PUNCT
ejpam-6505	308	8	=	=	SYM
ejpam-6505	308	9	1	1	NUM
ejpam-6505	308	10	indicates	indicate	VERB
ejpam-6505	308	11	that	that	SCONJ
ejpam-6505	308	12	as	as	SCONJ
ejpam-6505	308	13	the	the	DET
ejpam-6505	308	14	droplet	droplet	NOUN
ejpam-6505	308	15	’s	’s	PART
ejpam-6505	308	16	internal	internal	ADJ
ejpam-6505	308	17	resistance	resistance	NOUN
ejpam-6505	308	18	to	to	ADP
ejpam-6505	308	19	deformation	deformation	NOUN
ejpam-6505	308	20	becomes	become	VERB
ejpam-6505	308	21	exceedingly	exceedingly	ADV
ejpam-6505	308	22	high	high	ADJ
ejpam-6505	308	23	(	(	PUNCT
ejpam-6505	308	24	or	or	CCONJ
ejpam-6505	308	25	its	its	PRON
ejpam-6505	308	26	ability	ability	NOUN
ejpam-6505	308	27	to	to	PART
ejpam-6505	308	28	effectively	effectively	ADV
ejpam-6505	308	29	utilize	utilize	VERB
ejpam-6505	308	30	internal	internal	ADJ
ejpam-6505	308	31	flows	flow	NOUN
ejpam-6505	308	32	to	to	PART
ejpam-6505	308	33	navigate	navigate	VERB
ejpam-6505	308	34	the	the	DET
ejpam-6505	308	35	pore	pore	ADJ
ejpam-6505	308	36	space	space	NOUN
ejpam-6505	308	37	diminishes	diminish	VERB
ejpam-6505	308	38	)	)	PUNCT
ejpam-6505	308	39	,	,	PUNCT
ejpam-6505	308	40	its	its	PRON
ejpam-6505	308	41	normalized	normalize	VERB
ejpam-6505	308	42	velocity	velocity	NOUN
ejpam-6505	308	43	in	in	ADP
ejpam-6505	308	44	the	the	DET
ejpam-6505	308	45	porous	porous	ADJ
ejpam-6505	308	46	medium	medium	ADJ
ejpam-6505	308	47	approaches	approach	NOUN
ejpam-6505	308	48	that	that	PRON
ejpam-6505	308	49	observed	observe	VERB
ejpam-6505	308	50	in	in	ADP
ejpam-6505	308	51	an	an	DET
ejpam-6505	308	52	unconfined	unconfined	ADJ
ejpam-6505	308	53	,	,	PUNCT
ejpam-6505	308	54	clear	clear	ADJ
ejpam-6505	308	55	viscous	viscous	ADJ
ejpam-6505	308	56	fluid	fluid	NOUN
ejpam-6505	308	57	u0	u0	NOUN
ejpam-6505	308	58	;	;	PUNCT
ejpam-6505	308	59	this	this	PRON
ejpam-6505	308	60	suggests	suggest	VERB
ejpam-6505	308	61	that	that	SCONJ
ejpam-6505	308	62	u0	u0	ADJ
ejpam-6505	308	63	acts	act	VERB
ejpam-6505	308	64	as	as	ADP
ejpam-6505	308	65	a	a	DET
ejpam-6505	308	66	baseline	baseline	NOUN
ejpam-6505	308	67	for	for	ADP
ejpam-6505	308	68	a	a	DET
ejpam-6505	308	69	droplet	droplet	NOUN
ejpam-6505	308	70	whose	whose	DET
ejpam-6505	308	71	motion	motion	NOUN
ejpam-6505	308	72	is	be	AUX
ejpam-6505	308	73	primarily	primarily	ADV
ejpam-6505	308	74	limited	limit	VERB
ejpam-6505	308	75	by	by	ADP
ejpam-6505	308	76	its	its	PRON
ejpam-6505	308	77	intrinsic	intrinsic	ADJ
ejpam-6505	308	78	properties	property	NOUN
ejpam-6505	308	79	rather	rather	ADV
ejpam-6505	308	80	than	than	ADP
ejpam-6505	308	81	the	the	DET
ejpam-6505	308	82	specific	specific	ADJ
ejpam-6505	308	83	additional	additional	ADJ
ejpam-6505	308	84	impedance	impedance	NOUN
ejpam-6505	308	85	of	of	ADP
ejpam-6505	308	86	the	the	DET
ejpam-6505	308	87	porous	porous	ADJ
ejpam-6505	308	88	structure	structure	NOUN
ejpam-6505	308	89	under	under	ADP
ejpam-6505	308	90	such	such	ADJ
ejpam-6505	308	91	limiting	limit	VERB
ejpam-6505	308	92	conditions	condition	NOUN
ejpam-6505	308	93	.	.	PUNCT
ejpam-6505	309	1	finally	finally	ADV
ejpam-6505	309	2	,	,	PUNCT
ejpam-6505	309	3	the	the	DET
ejpam-6505	309	4	inverse	inverse	NOUN
ejpam-6505	309	5	relationship	relationship	NOUN
ejpam-6505	309	6	between	between	ADP
ejpam-6505	309	7	f	f	PROPN
ejpam-6505	309	8	∗	∗	NOUN
ejpam-6505	309	9	t	t	PROPN
ejpam-6505	309	10	and	and	CCONJ
ejpam-6505	309	11	ut	ut	PROPN
ejpam-6505	309	12	/u0	/u0	PROPN
ejpam-6505	309	13	and	and	CCONJ
ejpam-6505	309	14	the	the	DET
ejpam-6505	309	15	viscosity	viscosity	NOUN
ejpam-6505	309	16	ratio	ratio	NOUN
ejpam-6505	309	17	σ	σ	PROPN
ejpam-6505	309	18	is	be	AUX
ejpam-6505	309	19	well	well	ADV
ejpam-6505	309	20	-	-	PUNCT
ejpam-6505	309	21	documented	document	VERB
ejpam-6505	309	22	[	[	X
ejpam-6505	309	23	6	6	NUM
ejpam-6505	309	24	,	,	PUNCT
ejpam-6505	309	25	35	35	NUM
ejpam-6505	309	26	]	]	SYM
ejpam-6505	309	27	;	;	PUNCT
ejpam-6505	309	28	higher	high	ADJ
ejpam-6505	309	29	internal	internal	ADJ
ejpam-6505	309	30	droplet	droplet	ADJ
ejpam-6505	309	31	viscosity	viscosity	NOUN
ejpam-6505	309	32	leads	lead	VERB
ejpam-6505	309	33	to	to	ADP
ejpam-6505	309	34	increased	increase	VERB
ejpam-6505	309	35	internal	internal	ADJ
ejpam-6505	309	36	viscous	viscous	ADJ
ejpam-6505	309	37	dissipation	dissipation	NOUN
ejpam-6505	309	38	,	,	PUNCT
ejpam-6505	309	39	damping	damp	VERB
ejpam-6505	309	40	both	both	CCONJ
ejpam-6505	309	41	internal	internal	ADJ
ejpam-6505	309	42	convective	convective	ADJ
ejpam-6505	309	43	flows	flow	NOUN
ejpam-6505	309	44	and	and	CCONJ
ejpam-6505	309	45	surface	surface	NOUN
ejpam-6505	309	46	mobility	mobility	NOUN
ejpam-6505	309	47	,	,	PUNCT
ejpam-6505	309	48	thereby	thereby	ADV
ejpam-6505	309	49	inherently	inherently	ADV
ejpam-6505	309	50	limiting	limit	VERB
ejpam-6505	309	51	a.	a.	NOUN
ejpam-6505	309	52	s.	s.	PROPN
ejpam-6505	309	53	aamer	aamer	PROPN
ejpam-6505	309	54	,	,	PUNCT
ejpam-6505	309	55	b.	b.	PROPN
ejpam-6505	309	56	a.	a.	PROPN
ejpam-6505	309	57	ahmed	ahmed	PROPN
ejpam-6505	309	58	,	,	PUNCT
ejpam-6505	309	59	s.	s.	PROPN
ejpam-6505	309	60	a.	a.	PROPN
ejpam-6505	309	61	mahrous	mahrous	PROPN
ejpam-6505	309	62	/	/	SYM
ejpam-6505	309	63	eur	eur	PROPN
ejpam-6505	309	64	.	.	PUNCT
ejpam-6505	310	1	j.	j.	PROPN
ejpam-6505	310	2	pure	pure	PROPN
ejpam-6505	310	3	appl	appl	PROPN
ejpam-6505	310	4	.	.	PROPN
ejpam-6505	310	5	math	math	PROPN
ejpam-6505	310	6	,	,	PUNCT
ejpam-6505	310	7	18	18	NUM
ejpam-6505	310	8	(	(	PUNCT
ejpam-6505	310	9	3	3	NUM
ejpam-6505	310	10	)	)	PUNCT
ejpam-6505	310	11	(	(	PUNCT
ejpam-6505	310	12	2025	2025	NUM
ejpam-6505	310	13	)	)	PUNCT
ejpam-6505	310	14	,	,	PUNCT
ejpam-6505	310	15	6505	6505	NUM
ejpam-6505	310	16	of	of	ADP
ejpam-6505	310	17	the	the	DET
ejpam-6505	310	18	efficiency	efficiency	NOUN
ejpam-6505	310	19	with	with	ADP
ejpam-6505	310	20	which	which	PRON
ejpam-6505	310	21	interfacial	interfacial	ADJ
ejpam-6505	310	22	thermal	thermal	ADJ
ejpam-6505	310	23	energy	energy	NOUN
ejpam-6505	310	24	is	be	AUX
ejpam-6505	310	25	converted	convert	VERB
ejpam-6505	310	26	into	into	ADP
ejpam-6505	310	27	kinetic	kinetic	ADJ
ejpam-6505	310	28	energy	energy	NOUN
ejpam-6505	310	29	for	for	ADP
ejpam-6505	310	30	propulsion	propulsion	NOUN
ejpam-6505	310	31	.	.	PUNCT
ejpam-6505	311	1	these	these	DET
ejpam-6505	311	2	collective	collective	ADJ
ejpam-6505	311	3	findings	finding	NOUN
ejpam-6505	311	4	underscore	underscore	VERB
ejpam-6505	311	5	the	the	DET
ejpam-6505	311	6	intricate	intricate	ADJ
ejpam-6505	311	7	coupling	coupling	NOUN
ejpam-6505	311	8	between	between	ADP
ejpam-6505	311	9	interfacial	interfacial	ADJ
ejpam-6505	311	10	thermophysics	thermophysic	NOUN
ejpam-6505	311	11	,	,	PUNCT
ejpam-6505	311	12	internal	internal	ADJ
ejpam-6505	311	13	droplet	droplet	ADJ
ejpam-6505	311	14	fluid	fluid	ADJ
ejpam-6505	311	15	mechanics	mechanic	NOUN
ejpam-6505	311	16	,	,	PUNCT
ejpam-6505	311	17	and	and	CCONJ
ejpam-6505	311	18	the	the	DET
ejpam-6505	311	19	hydrodynamics	hydrodynamic	NOUN
ejpam-6505	311	20	imposed	impose	VERB
ejpam-6505	311	21	by	by	ADP
ejpam-6505	311	22	the	the	DET
ejpam-6505	311	23	porous	porous	ADJ
ejpam-6505	311	24	medium	medium	NOUN
ejpam-6505	311	25	in	in	ADP
ejpam-6505	311	26	dictating	dictate	VERB
ejpam-6505	311	27	thermocapillary	thermocapillary	NOUN
ejpam-6505	311	28	-	-	PUNCT
ejpam-6505	311	29	driven	drive	VERB
ejpam-6505	311	30	transport	transport	NOUN
ejpam-6505	311	31	.	.	PUNCT
ejpam-6505	312	1	fig	fig	NOUN
ejpam-6505	312	2	.	.	PUNCT
ejpam-6505	313	1	10	10	NUM
ejpam-6505	313	2	illustrates	illustrate	VERB
ejpam-6505	313	3	the	the	DET
ejpam-6505	313	4	dependence	dependence	NOUN
ejpam-6505	313	5	of	of	ADP
ejpam-6505	313	6	the	the	DET
ejpam-6505	313	7	normalized	normalize	VERB
ejpam-6505	313	8	thermocapillary	thermocapillary	ADJ
ejpam-6505	313	9	velocity	velocity	NOUN
ejpam-6505	313	10	u∗	u∗	PROPN
ejpam-6505	313	11	t	t	PROPN
ejpam-6505	313	12	on	on	ADP
ejpam-6505	313	13	the	the	DET
ejpam-6505	313	14	thermal	thermal	ADJ
ejpam-6505	313	15	conductivity	conductivity	NOUN
ejpam-6505	313	16	ratio	ratio	NOUN
ejpam-6505	313	17	k	k	PROPN
ejpam-6505	313	18	for	for	ADP
ejpam-6505	313	19	varying	vary	VERB
ejpam-6505	313	20	permeability	permeability	NOUN
ejpam-6505	313	21	parameter	parameter	NOUN
ejpam-6505	313	22	α	α	NOUN
ejpam-6505	313	23	at	at	ADP
ejpam-6505	313	24	specific	specific	ADJ
ejpam-6505	313	25	values	value	NOUN
ejpam-6505	313	26	of	of	ADP
ejpam-6505	313	27	viscosity	viscosity	NOUN
ejpam-6505	313	28	ratio	ratio	NOUN
ejpam-6505	313	29	(	(	PUNCT
ejpam-6505	313	30	σ	σ	NOUN
ejpam-6505	313	31	=	=	SYM
ejpam-6505	313	32	0.5	0.5	NUM
ejpam-6505	313	33	,	,	PUNCT
ejpam-6505	313	34	σ	σ	NOUN
ejpam-6505	313	35	=	=	SYM
ejpam-6505	313	36	2	2	NUM
ejpam-6505	313	37	)	)	PUNCT
ejpam-6505	313	38	.	.	PUNCT
ejpam-6505	314	1	the	the	DET
ejpam-6505	314	2	parameter	parameter	NOUN
ejpam-6505	314	3	u∗	u∗	PROPN
ejpam-6505	314	4	t	t	PROPN
ejpam-6505	314	5	consistently	consistently	ADV
ejpam-6505	314	6	exhibits	exhibit	VERB
ejpam-6505	314	7	a	a	DET
ejpam-6505	314	8	characteristic	characteristic	ADJ
ejpam-6505	314	9	non	non	ADJ
ejpam-6505	314	10	-	-	ADJ
ejpam-6505	314	11	linear	linear	ADJ
ejpam-6505	314	12	decrease	decrease	NOUN
ejpam-6505	314	13	as	as	ADP
ejpam-6505	314	14	k	k	PROPN
ejpam-6505	314	15	increases	increase	NOUN
ejpam-6505	314	16	,	,	PUNCT
ejpam-6505	314	17	featuring	feature	VERB
ejpam-6505	314	18	an	an	DET
ejpam-6505	314	19	initial	initial	ADJ
ejpam-6505	314	20	phase	phase	NOUN
ejpam-6505	314	21	of	of	ADP
ejpam-6505	314	22	relatively	relatively	ADV
ejpam-6505	314	23	stable	stable	ADJ
ejpam-6505	314	24	values	value	NOUN
ejpam-6505	314	25	at	at	ADP
ejpam-6505	314	26	low	low	ADJ
ejpam-6505	314	27	thermal	thermal	ADJ
ejpam-6505	314	28	conductivity	conductivity	NOUN
ejpam-6505	314	29	ratio	ratio	NOUN
ejpam-6505	314	30	(	(	PUNCT
ejpam-6505	314	31	k	k	X
ejpam-6505	314	32	<	<	X
ejpam-6505	314	33	10−1	10−1	NUM
ejpam-6505	314	34	)	)	PUNCT
ejpam-6505	314	35	where	where	SCONJ
ejpam-6505	314	36	the	the	DET
ejpam-6505	314	37	droplet	droplet	NOUN
ejpam-6505	314	38	effectively	effectively	ADV
ejpam-6505	314	39	sustains	sustain	VERB
ejpam-6505	314	40	an	an	DET
ejpam-6505	314	41	external	external	ADJ
ejpam-6505	314	42	temperature	temperature	NOUN
ejpam-6505	314	43	gradient	gradient	NOUN
ejpam-6505	314	44	.	.	PUNCT
ejpam-6505	315	1	this	this	PRON
ejpam-6505	315	2	is	be	AUX
ejpam-6505	315	3	followed	follow	VERB
ejpam-6505	315	4	by	by	ADP
ejpam-6505	315	5	a	a	DET
ejpam-6505	315	6	significant	significant	ADJ
ejpam-6505	315	7	reduction	reduction	NOUN
ejpam-6505	315	8	in	in	ADP
ejpam-6505	315	9	u∗	u∗	PROPN
ejpam-6505	315	10	t	t	PROPN
ejpam-6505	315	11	as	as	ADP
ejpam-6505	315	12	k	k	PROPN
ejpam-6505	315	13	increases	increase	VERB
ejpam-6505	315	14	(	(	PUNCT
ejpam-6505	315	15	10−1	10−1	X
ejpam-6505	315	16	<	<	X
ejpam-6505	315	17	k	k	X
ejpam-6505	315	18	<	<	X
ejpam-6505	315	19	102	102	NUM
ejpam-6505	315	20	)	)	PUNCT
ejpam-6505	315	21	due	due	ADP
ejpam-6505	315	22	to	to	ADP
ejpam-6505	315	23	enhanced	enhance	VERB
ejpam-6505	315	24	internal	internal	ADJ
ejpam-6505	315	25	thermal	thermal	ADJ
ejpam-6505	315	26	homogenization	homogenization	NOUN
ejpam-6505	315	27	,	,	PUNCT
ejpam-6505	315	28	with	with	ADP
ejpam-6505	315	29	u∗	u∗	NOUN
ejpam-6505	315	30	t	t	NOUN
ejpam-6505	315	31	ultimately	ultimately	ADV
ejpam-6505	315	32	approaching	approach	VERB
ejpam-6505	315	33	zero	zero	NUM
ejpam-6505	315	34	at	at	ADP
ejpam-6505	315	35	high	high	ADJ
ejpam-6505	315	36	thermal	thermal	ADJ
ejpam-6505	315	37	conductivity	conductivity	NOUN
ejpam-6505	315	38	ratio	ratio	NOUN
ejpam-6505	315	39	(	(	PUNCT
ejpam-6505	315	40	k	k	X
ejpam-6505	315	41	>	>	X
ejpam-6505	315	42	102	102	NUM
ejpam-6505	315	43	)	)	PUNCT
ejpam-6505	315	44	.	.	PUNCT
ejpam-6505	316	1	the	the	DET
ejpam-6505	316	2	viscosity	viscosity	NOUN
ejpam-6505	316	3	ratio	ratio	NOUN
ejpam-6505	316	4	markedly	markedly	ADV
ejpam-6505	316	5	influences	influence	VERB
ejpam-6505	316	6	velocity	velocity	NOUN
ejpam-6505	316	7	magnitude	magnitude	NOUN
ejpam-6505	316	8	:	:	PUNCT
ejpam-6505	316	9	(	(	PUNCT
ejpam-6505	316	10	σ	σ	NOUN
ejpam-6505	316	11	=	=	SYM
ejpam-6505	316	12	0.5	0.5	NUM
ejpam-6505	316	13	less	less	ADV
ejpam-6505	316	14	viscous	viscous	ADJ
ejpam-6505	316	15	droplet	droplet	ADJ
ejpam-6505	316	16	)	)	PUNCT
ejpam-6505	316	17	results	result	NOUN
ejpam-6505	316	18	in	in	ADP
ejpam-6505	316	19	substantially	substantially	ADV
ejpam-6505	316	20	higher	high	ADJ
ejpam-6505	316	21	u∗	u∗	PROPN
ejpam-6505	316	22	t	t	NOUN
ejpam-6505	316	23	values	value	NOUN
ejpam-6505	316	24	(	(	PUNCT
ejpam-6505	316	25	reaching	reach	VERB
ejpam-6505	316	26	initial	initial	ADJ
ejpam-6505	316	27	stable	stable	ADJ
ejpam-6505	316	28	values	value	NOUN
ejpam-6505	316	29	near	near	ADP
ejpam-6505	316	30	0.28	0.28	NUM
ejpam-6505	316	31	for	for	ADP
ejpam-6505	316	32	α	α	NOUN
ejpam-6505	316	33	=	=	SYM
ejpam-6505	316	34	0	0	NUM
ejpam-6505	316	35	)	)	PUNCT
ejpam-6505	316	36	compared	compare	VERB
ejpam-6505	316	37	to	to	ADP
ejpam-6505	316	38	(	(	PUNCT
ejpam-6505	316	39	σ	σ	NOUN
ejpam-6505	316	40	=	=	SYM
ejpam-6505	316	41	2	2	NUM
ejpam-6505	316	42	more	more	ADV
ejpam-6505	316	43	viscous	viscous	ADJ
ejpam-6505	316	44	droplet	droplet	NOUN
ejpam-6505	316	45	,	,	PUNCT
ejpam-6505	316	46	with	with	ADP
ejpam-6505	316	47	initial	initial	ADJ
ejpam-6505	316	48	stable	stable	ADJ
ejpam-6505	316	49	values	value	NOUN
ejpam-6505	316	50	near	near	ADP
ejpam-6505	316	51	0.125	0.125	NUM
ejpam-6505	316	52	for	for	ADP
ejpam-6505	316	53	α	α	NOUN
ejpam-6505	316	54	=	=	SYM
ejpam-6505	316	55	0	0	NUM
ejpam-6505	316	56	)	)	PUNCT
ejpam-6505	316	57	,	,	PUNCT
ejpam-6505	316	58	a	a	DET
ejpam-6505	316	59	difference	difference	NOUN
ejpam-6505	316	60	attributed	attribute	VERB
ejpam-6505	316	61	to	to	ADP
ejpam-6505	316	62	reduced	reduce	VERB
ejpam-6505	316	63	viscous	viscous	ADJ
ejpam-6505	316	64	resistance	resistance	NOUN
ejpam-6505	316	65	at	at	ADP
ejpam-6505	316	66	lower	low	ADJ
ejpam-6505	316	67	σ	σ	PROPN
ejpam-6505	316	68	.	.	PUNCT
ejpam-6505	316	69	interestingly	interestingly	ADV
ejpam-6505	316	70	,	,	PUNCT
ejpam-6505	316	71	the	the	DET
ejpam-6505	316	72	permeability	permeability	NOUN
ejpam-6505	316	73	parameter	parameter	NOUN
ejpam-6505	316	74	α	α	PROPN
ejpam-6505	316	75	demonstrates	demonstrate	VERB
ejpam-6505	316	76	a	a	DET
ejpam-6505	316	77	varied	varied	ADJ
ejpam-6505	316	78	impact	impact	NOUN
ejpam-6505	316	79	depending	depend	VERB
ejpam-6505	316	80	on	on	ADP
ejpam-6505	316	81	σ	σ	PROPN
ejpam-6505	316	82	.	.	PUNCT
ejpam-6505	317	1	for	for	ADP
ejpam-6505	317	2	(	(	PUNCT
ejpam-6505	317	3	σ	σ	NOUN
ejpam-6505	317	4	=	=	NOUN
ejpam-6505	317	5	0.5	0.5	NUM
ejpam-6505	317	6	)	)	PUNCT
ejpam-6505	317	7	,	,	PUNCT
ejpam-6505	317	8	u∗	u∗	PROPN
ejpam-6505	317	9	t	t	PROPN
ejpam-6505	317	10	is	be	AUX
ejpam-6505	317	11	largely	largely	ADV
ejpam-6505	317	12	independent	independent	ADJ
ejpam-6505	317	13	of	of	ADP
ejpam-6505	317	14	α	α	PRON
ejpam-6505	317	15	,	,	PUNCT
ejpam-6505	317	16	while	while	SCONJ
ejpam-6505	317	17	for	for	ADP
ejpam-6505	317	18	(	(	PUNCT
ejpam-6505	317	19	σ	σ	NOUN
ejpam-6505	317	20	=	=	SYM
ejpam-6505	317	21	2	2	NUM
ejpam-6505	317	22	)	)	PUNCT
ejpam-6505	317	23	,	,	PUNCT
ejpam-6505	317	24	increasing	increase	VERB
ejpam-6505	317	25	α	α	NOUN
ejpam-6505	317	26	from	from	ADP
ejpam-6505	317	27	0	0	NUM
ejpam-6505	317	28	to	to	PART
ejpam-6505	317	29	20	20	NUM
ejpam-6505	317	30	systematically	systematically	ADV
ejpam-6505	317	31	lowers	lower	VERB
ejpam-6505	317	32	u∗	u∗	PROPN
ejpam-6505	317	33	t	t	PROPN
ejpam-6505	317	34	.	.	PUNCT
ejpam-6505	318	1	this	this	PRON
ejpam-6505	318	2	suggests	suggest	VERB
ejpam-6505	318	3	that	that	SCONJ
ejpam-6505	318	4	for	for	ADP
ejpam-6505	318	5	more	more	ADJ
ejpam-6505	318	6	viscous	viscous	ADJ
ejpam-6505	318	7	droplets	droplet	NOUN
ejpam-6505	318	8	,	,	PUNCT
ejpam-6505	318	9	higher	high	ADJ
ejpam-6505	318	10	permeability	permeability	NOUN
ejpam-6505	318	11	may	may	AUX
ejpam-6505	318	12	induce	induce	VERB
ejpam-6505	318	13	internal	internal	ADJ
ejpam-6505	318	14	flows	flow	NOUN
ejpam-6505	318	15	that	that	PRON
ejpam-6505	318	16	either	either	CCONJ
ejpam-6505	318	17	disrupt	disrupt	VERB
ejpam-6505	318	18	the	the	DET
ejpam-6505	318	19	externally	externally	ADV
ejpam-6505	318	20	imposed	impose	VERB
ejpam-6505	318	21	interfacial	interfacial	ADJ
ejpam-6505	318	22	temperature	temperature	NOUN
ejpam-6505	318	23	gradient	gradient	NOUN
ejpam-6505	318	24	or	or	CCONJ
ejpam-6505	318	25	enhance	enhance	VERB
ejpam-6505	318	26	internal	internal	ADJ
ejpam-6505	318	27	thermal	thermal	ADJ
ejpam-6505	318	28	equilibration	equilibration	NOUN
ejpam-6505	318	29	,	,	PUNCT
ejpam-6505	318	30	thereby	thereby	ADV
ejpam-6505	318	31	diminishing	diminish	VERB
ejpam-6505	318	32	thermocapillary	thermocapillary	ADJ
ejpam-6505	318	33	propulsion	propulsion	NOUN
ejpam-6505	318	34	.	.	PUNCT
ejpam-6505	319	1	fig	fig	NOUN
ejpam-6505	319	2	.	.	PUNCT
ejpam-6505	320	1	11	11	NUM
ejpam-6505	320	2	shows	show	VERB
ejpam-6505	320	3	the	the	DET
ejpam-6505	320	4	normalized	normalize	VERB
ejpam-6505	320	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	320	6	velocity	velocity	NOUN
ejpam-6505	320	7	,	,	PUNCT
ejpam-6505	320	8	u∗	u∗	PROPN
ejpam-6505	320	9	t	t	X
ejpam-6505	320	10	,	,	PUNCT
ejpam-6505	320	11	as	as	ADP
ejpam-6505	320	12	a	a	DET
ejpam-6505	320	13	function	function	NOUN
ejpam-6505	320	14	of	of	ADP
ejpam-6505	320	15	the	the	DET
ejpam-6505	320	16	thermal	thermal	ADJ
ejpam-6505	320	17	conductivity	conductivity	NOUN
ejpam-6505	320	18	ratio	ratio	NOUN
ejpam-6505	320	19	,	,	PUNCT
ejpam-6505	320	20	k	k	PROPN
ejpam-6505	320	21	,	,	PUNCT
ejpam-6505	320	22	for	for	ADP
ejpam-6505	320	23	varying	vary	VERB
ejpam-6505	320	24	viscosity	viscosity	NOUN
ejpam-6505	320	25	ratios	ratio	NOUN
ejpam-6505	320	26	(	(	PUNCT
ejpam-6505	320	27	σ	σ	NOUN
ejpam-6505	320	28	=	=	SYM
ejpam-6505	320	29	0	0	NUM
ejpam-6505	320	30	,	,	PUNCT
ejpam-6505	320	31	0.1	0.1	NUM
ejpam-6505	320	32	,	,	PUNCT
ejpam-6505	320	33	1	1	NUM
ejpam-6505	320	34	,	,	PUNCT
ejpam-6505	320	35	and	and	CCONJ
ejpam-6505	320	36	σ	σ	PROPN
ejpam-6505	320	37	→	→	SYM
ejpam-6505	320	38	∞	∞	PROPN
ejpam-6505	320	39	)	)	PUNCT
ejpam-6505	320	40	at	at	ADP
ejpam-6505	320	41	two	two	NUM
ejpam-6505	320	42	distinct	distinct	ADJ
ejpam-6505	320	43	levels	level	NOUN
ejpam-6505	320	44	of	of	ADP
ejpam-6505	320	45	the	the	DET
ejpam-6505	320	46	permeability	permeability	NOUN
ejpam-6505	320	47	parameter	parameter	NOUN
ejpam-6505	320	48	:	:	PUNCT
ejpam-6505	320	49	(	(	PUNCT
ejpam-6505	320	50	α	α	NOUN
ejpam-6505	320	51	=	=	SYM
ejpam-6505	320	52	0	0	NUM
ejpam-6505	320	53	impermeable	impermeable	ADJ
ejpam-6505	320	54	droplet	droplet	ADJ
ejpam-6505	320	55	,	,	PUNCT
ejpam-6505	320	56	upper	upper	ADJ
ejpam-6505	320	57	set	set	NOUN
ejpam-6505	320	58	of	of	ADP
ejpam-6505	320	59	curves	curve	NOUN
ejpam-6505	320	60	)	)	PUNCT
ejpam-6505	320	61	and	and	CCONJ
ejpam-6505	320	62	(	(	PUNCT
ejpam-6505	320	63	α	α	NOUN
ejpam-6505	320	64	=	=	SYM
ejpam-6505	320	65	20	20	NUM
ejpam-6505	320	66	highly	highly	ADV
ejpam-6505	320	67	permeable	permeable	ADJ
ejpam-6505	320	68	droplet	droplet	ADJ
ejpam-6505	320	69	,	,	PUNCT
ejpam-6505	320	70	lower	low	ADJ
ejpam-6505	320	71	set	set	NOUN
ejpam-6505	320	72	of	of	ADP
ejpam-6505	320	73	curves	curve	NOUN
ejpam-6505	320	74	)	)	PUNCT
ejpam-6505	320	75	.	.	PUNCT
ejpam-6505	321	1	a	a	DET
ejpam-6505	321	2	consistent	consistent	ADJ
ejpam-6505	321	3	trend	trend	NOUN
ejpam-6505	321	4	observed	observe	VERB
ejpam-6505	321	5	across	across	ADP
ejpam-6505	321	6	all	all	DET
ejpam-6505	321	7	conditions	condition	NOUN
ejpam-6505	321	8	is	be	AUX
ejpam-6505	321	9	the	the	DET
ejpam-6505	321	10	decrease	decrease	NOUN
ejpam-6505	321	11	of	of	ADP
ejpam-6505	321	12	u∗	u∗	PROPN
ejpam-6505	321	13	t	t	NOUN
ejpam-6505	321	14	with	with	ADP
ejpam-6505	321	15	increasing	increase	VERB
ejpam-6505	321	16	k	k	PROPN
ejpam-6505	321	17	,	,	PUNCT
ejpam-6505	321	18	transitioning	transition	VERB
ejpam-6505	321	19	from	from	ADP
ejpam-6505	321	20	an	an	DET
ejpam-6505	321	21	initial	initial	ADJ
ejpam-6505	321	22	region	region	NOUN
ejpam-6505	321	23	where	where	SCONJ
ejpam-6505	321	24	u∗	u∗	PROPN
ejpam-6505	321	25	t	t	NOUN
ejpam-6505	321	26	exhibits	exhibit	VERB
ejpam-6505	321	27	near	near	ADV
ejpam-6505	321	28	-	-	PUNCT
ejpam-6505	321	29	constant	constant	ADJ
ejpam-6505	321	30	values	value	NOUN
ejpam-6505	321	31	at	at	ADP
ejpam-6505	321	32	low	low	ADJ
ejpam-6505	321	33	thermal	thermal	ADJ
ejpam-6505	321	34	conductivity	conductivity	NOUN
ejpam-6505	321	35	ratio	ratio	NOUN
ejpam-6505	321	36	(	(	PUNCT
ejpam-6505	321	37	k	k	X
ejpam-6505	321	38	<	<	X
ejpam-6505	321	39	10−1	10−1	NUM
ejpam-6505	321	40	)	)	PUNCT
ejpam-6505	321	41	to	to	ADP
ejpam-6505	321	42	near	near	ADV
ejpam-6505	321	43	-	-	PUNCT
ejpam-6505	321	44	zero	zero	NUM
ejpam-6505	321	45	values	value	NOUN
ejpam-6505	321	46	at	at	ADP
ejpam-6505	321	47	high	high	ADJ
ejpam-6505	321	48	thermal	thermal	ADJ
ejpam-6505	321	49	conductivity	conductivity	NOUN
ejpam-6505	321	50	ratio	ratio	NOUN
ejpam-6505	321	51	(	(	PUNCT
ejpam-6505	321	52	k	k	X
ejpam-6505	321	53	>	>	X
ejpam-6505	321	54	102	102	NUM
ejpam-6505	321	55	)	)	PUNCT
ejpam-6505	321	56	.	.	PUNCT
ejpam-6505	322	1	this	this	DET
ejpam-6505	322	2	general	general	ADJ
ejpam-6505	322	3	behavior	behavior	NOUN
ejpam-6505	322	4	reflects	reflect	VERB
ejpam-6505	322	5	the	the	DET
ejpam-6505	322	6	shift	shift	NOUN
ejpam-6505	322	7	from	from	ADP
ejpam-6505	322	8	a	a	DET
ejpam-6505	322	9	scenario	scenario	NOUN
ejpam-6505	322	10	where	where	SCONJ
ejpam-6505	322	11	the	the	DET
ejpam-6505	322	12	droplet	droplet	NOUN
ejpam-6505	322	13	effectively	effectively	ADV
ejpam-6505	322	14	sustains	sustain	VERB
ejpam-6505	322	15	an	an	DET
ejpam-6505	322	16	interfacial	interfacial	ADJ
ejpam-6505	322	17	temperature	temperature	NOUN
ejpam-6505	322	18	gradient	gradient	NOUN
ejpam-6505	322	19	(	(	PUNCT
ejpam-6505	322	20	low	low	ADJ
ejpam-6505	322	21	k	k	NOUN
ejpam-6505	322	22	)	)	PUNCT
ejpam-6505	322	23	to	to	ADP
ejpam-6505	322	24	one	one	NUM
ejpam-6505	322	25	where	where	SCONJ
ejpam-6505	322	26	enhanced	enhanced	ADJ
ejpam-6505	322	27	internal	internal	ADJ
ejpam-6505	322	28	thermal	thermal	ADJ
ejpam-6505	322	29	homogenization	homogenization	NOUN
ejpam-6505	322	30	diminishes	diminish	VERB
ejpam-6505	322	31	this	this	DET
ejpam-6505	322	32	gradient	gradient	NOUN
ejpam-6505	322	33	(	(	PUNCT
ejpam-6505	322	34	high	high	ADJ
ejpam-6505	322	35	k	k	NOUN
ejpam-6505	322	36	)	)	PUNCT
ejpam-6505	322	37	.	.	PUNCT
ejpam-6505	323	1	for	for	ADP
ejpam-6505	323	2	an	an	DET
ejpam-6505	323	3	impermeable	impermeable	ADJ
ejpam-6505	323	4	droplet	droplet	NOUN
ejpam-6505	323	5	(	(	PUNCT
ejpam-6505	323	6	α	α	NOUN
ejpam-6505	323	7	=	=	SYM
ejpam-6505	323	8	0	0	NUM
ejpam-6505	323	9	,	,	PUNCT
ejpam-6505	323	10	upper	upper	ADJ
ejpam-6505	323	11	curves	curve	NOUN
ejpam-6505	323	12	)	)	PUNCT
ejpam-6505	323	13	,	,	PUNCT
ejpam-6505	323	14	the	the	DET
ejpam-6505	323	15	viscosity	viscosity	NOUN
ejpam-6505	323	16	ratio	ratio	NOUN
ejpam-6505	323	17	σ	σ	PROPN
ejpam-6505	323	18	exerts	exert	VERB
ejpam-6505	323	19	a	a	DET
ejpam-6505	323	20	pronounced	pronounced	ADJ
ejpam-6505	323	21	and	and	CCONJ
ejpam-6505	323	22	systematic	systematic	ADJ
ejpam-6505	323	23	influence	influence	NOUN
ejpam-6505	323	24	.	.	PUNCT
ejpam-6505	324	1	u∗	u∗	PROPN
ejpam-6505	324	2	t	t	PROPN
ejpam-6505	324	3	is	be	AUX
ejpam-6505	324	4	maximized	maximize	VERB
ejpam-6505	324	5	for	for	ADP
ejpam-6505	324	6	an	an	DET
ejpam-6505	324	7	inviscid	inviscid	ADJ
ejpam-6505	324	8	droplet	droplet	NOUN
ejpam-6505	324	9	(	(	PUNCT
ejpam-6505	324	10	σ	σ	NOUN
ejpam-6505	324	11	=	=	SYM
ejpam-6505	324	12	0	0	NUM
ejpam-6505	324	13	)	)	PUNCT
ejpam-6505	324	14	,	,	PUNCT
ejpam-6505	324	15	reaching	reach	VERB
ejpam-6505	324	16	a	a	DET
ejpam-6505	324	17	near	near	ADV
ejpam-6505	324	18	-	-	PUNCT
ejpam-6505	324	19	constant	constant	ADJ
ejpam-6505	324	20	value	value	NOUN
ejpam-6505	324	21	of	of	ADP
ejpam-6505	324	22	approximately	approximately	ADV
ejpam-6505	324	23	0.5	0.5	NUM
ejpam-6505	324	24	in	in	ADP
ejpam-6505	324	25	the	the	DET
ejpam-6505	324	26	low	low	ADJ
ejpam-6505	324	27	k	k	PROPN
ejpam-6505	324	28	region	region	NOUN
ejpam-6505	324	29	.	.	PUNCT
ejpam-6505	325	1	as	as	SCONJ
ejpam-6505	325	2	σ	σ	PROPN
ejpam-6505	325	3	increases	increase	VERB
ejpam-6505	325	4	to	to	ADP
ejpam-6505	325	5	0.1	0.1	NUM
ejpam-6505	325	6	and	and	CCONJ
ejpam-6505	325	7	then	then	ADV
ejpam-6505	325	8	to	to	ADP
ejpam-6505	325	9	1	1	NUM
ejpam-6505	325	10	,	,	PUNCT
ejpam-6505	325	11	this	this	DET
ejpam-6505	325	12	near	near	ADV
ejpam-6505	325	13	-	-	PUNCT
ejpam-6505	325	14	constant	constant	ADJ
ejpam-6505	325	15	velocity	velocity	NOUN
ejpam-6505	325	16	progressively	progressively	ADV
ejpam-6505	325	17	decreases	decrease	VERB
ejpam-6505	325	18	to	to	ADP
ejpam-6505	325	19	around	around	ADP
ejpam-6505	325	20	0.43	0.43	NUM
ejpam-6505	325	21	and	and	CCONJ
ejpam-6505	325	22	0.2	0.2	NUM
ejpam-6505	325	23	,	,	PUNCT
ejpam-6505	325	24	respectively	respectively	ADV
ejpam-6505	325	25	.	.	PUNCT
ejpam-6505	326	1	in	in	ADP
ejpam-6505	326	2	the	the	DET
ejpam-6505	326	3	limit	limit	NOUN
ejpam-6505	326	4	of	of	ADP
ejpam-6505	326	5	an	an	DET
ejpam-6505	326	6	infinitely	infinitely	ADV
ejpam-6505	326	7	viscous	viscous	ADJ
ejpam-6505	326	8	droplet	droplet	NOUN
ejpam-6505	326	9	(	(	PUNCT
ejpam-6505	326	10	σ	σ	PROPN
ejpam-6505	326	11	→	→	SYM
ejpam-6505	326	12	∞	∞	PROPN
ejpam-6505	326	13	,	,	PUNCT
ejpam-6505	326	14	effectively	effectively	ADV
ejpam-6505	326	15	a	a	DET
ejpam-6505	326	16	rigid	rigid	ADJ
ejpam-6505	326	17	particle	particle	NOUN
ejpam-6505	326	18	)	)	PUNCT
ejpam-6505	326	19	,	,	PUNCT
ejpam-6505	326	20	u∗	u∗	PROPN
ejpam-6505	326	21	t	t	PROPN
ejpam-6505	326	22	reaches	reach	VERB
ejpam-6505	326	23	its	its	PRON
ejpam-6505	326	24	minimum	minimum	NOUN
ejpam-6505	326	25	for	for	ADP
ejpam-6505	326	26	the	the	DET
ejpam-6505	326	27	(	(	PUNCT
ejpam-6505	326	28	α	α	NOUN
ejpam-6505	326	29	=	=	NOUN
ejpam-6505	326	30	0	0	NUM
ejpam-6505	326	31	)	)	PUNCT
ejpam-6505	326	32	case	case	NOUN
ejpam-6505	326	33	.	.	PUNCT
ejpam-6505	327	1	this	this	DET
ejpam-6505	327	2	monotonic	monotonic	ADJ
ejpam-6505	327	3	decrease	decrease	NOUN
ejpam-6505	327	4	in	in	ADP
ejpam-6505	327	5	u∗	u∗	PROPN
ejpam-6505	327	6	t	t	NOUN
ejpam-6505	327	7	with	with	ADP
ejpam-6505	327	8	increasing	increase	VERB
ejpam-6505	327	9	σ	σ	PROPN
ejpam-6505	327	10	is	be	AUX
ejpam-6505	327	11	due	due	ADJ
ejpam-6505	327	12	to	to	ADP
ejpam-6505	327	13	greater	great	ADJ
ejpam-6505	327	14	internal	internal	ADJ
ejpam-6505	327	15	viscous	viscous	ADJ
ejpam-6505	327	16	dissipation	dissipation	NOUN
ejpam-6505	327	17	,	,	PUNCT
ejpam-6505	327	18	which	which	PRON
ejpam-6505	327	19	increasingly	increasingly	ADV
ejpam-6505	327	20	impedes	impede	VERB
ejpam-6505	327	21	the	the	DET
ejpam-6505	327	22	internal	internal	ADJ
ejpam-6505	327	23	fluid	fluid	NOUN
ejpam-6505	327	24	circulation	circulation	NOUN
ejpam-6505	327	25	driven	drive	VERB
ejpam-6505	327	26	by	by	ADP
ejpam-6505	327	27	marangoni	marangoni	NOUN
ejpam-6505	327	28	stresses	stress	NOUN
ejpam-6505	327	29	,	,	PUNCT
ejpam-6505	327	30	thereby	thereby	ADV
ejpam-6505	327	31	reducing	reduce	VERB
ejpam-6505	327	32	the	the	DET
ejpam-6505	327	33	overall	overall	ADJ
ejpam-6505	327	34	translational	translational	ADJ
ejpam-6505	327	35	velocity	velocity	NOUN
ejpam-6505	327	36	.	.	PUNCT
ejpam-6505	328	1	a	a	DET
ejpam-6505	328	2	striking	striking	ADJ
ejpam-6505	328	3	observation	observation	NOUN
ejpam-6505	328	4	is	be	AUX
ejpam-6505	328	5	the	the	DET
ejpam-6505	328	6	dominant	dominant	ADJ
ejpam-6505	328	7	effect	effect	NOUN
ejpam-6505	328	8	of	of	ADP
ejpam-6505	328	9	high	high	ADJ
ejpam-6505	328	10	permeability	permeability	NOUN
ejpam-6505	328	11	when	when	SCONJ
ejpam-6505	328	12	(	(	PUNCT
ejpam-6505	328	13	α	α	NOUN
ejpam-6505	328	14	=	=	SYM
ejpam-6505	328	15	20	20	NUM
ejpam-6505	328	16	lower	low	ADJ
ejpam-6505	328	17	curves	curve	NOUN
ejpam-6505	328	18	)	)	PUNCT
ejpam-6505	328	19	.	.	PUNCT
ejpam-6505	329	1	in	in	ADP
ejpam-6505	329	2	this	this	DET
ejpam-6505	329	3	regime	regime	NOUN
ejpam-6505	329	4	,	,	PUNCT
ejpam-6505	329	5	u∗	u∗	PROPN
ejpam-6505	329	6	t	t	PROPN
ejpam-6505	329	7	is	be	AUX
ejpam-6505	329	8	extremely	extremely	ADV
ejpam-6505	329	9	attenuated	attenuate	VERB
ejpam-6505	329	10	across	across	ADP
ejpam-6505	329	11	all	all	DET
ejpam-6505	329	12	investigated	investigated	ADJ
ejpam-6505	329	13	viscosity	viscosity	NOUN
ejpam-6505	329	14	ratios	ratio	NOUN
ejpam-6505	329	15	,	,	PUNCT
ejpam-6505	329	16	with	with	ADP
ejpam-6505	329	17	values	value	NOUN
ejpam-6505	329	18	consistently	consistently	ADV
ejpam-6505	329	19	remaining	remain	VERB
ejpam-6505	329	20	very	very	ADV
ejpam-6505	329	21	low	low	ADJ
ejpam-6505	329	22	.	.	PUNCT
ejpam-6505	330	1	furthermore	furthermore	ADV
ejpam-6505	330	2	,	,	PUNCT
ejpam-6505	330	3	the	the	DET
ejpam-6505	330	4	sensitivity	sensitivity	NOUN
ejpam-6505	330	5	of	of	ADP
ejpam-6505	330	6	u∗	u∗	PROPN
ejpam-6505	330	7	t	t	PROPN
ejpam-6505	330	8	to	to	ADP
ejpam-6505	330	9	the	the	DET
ejpam-6505	330	10	viscosity	viscosity	NOUN
ejpam-6505	330	11	ratio	ratio	NOUN
ejpam-6505	330	12	σ	σ	PROPN
ejpam-6505	330	13	is	be	AUX
ejpam-6505	330	14	substantially	substantially	ADV
ejpam-6505	330	15	diminished	diminish	VERB
ejpam-6505	330	16	when	when	SCONJ
ejpam-6505	330	17	permeability	permeability	NOUN
ejpam-6505	330	18	is	be	AUX
ejpam-6505	330	19	high	high	ADJ
ejpam-6505	330	20	;	;	PUNCT
ejpam-6505	330	21	the	the	DET
ejpam-6505	330	22	curves	curve	NOUN
ejpam-6505	330	23	for	for	ADP
ejpam-6505	330	24	different	different	ADJ
ejpam-6505	330	25	σ	σ	NOUN
ejpam-6505	330	26	values	value	NOUN
ejpam-6505	330	27	at	at	ADP
ejpam-6505	330	28	(	(	PUNCT
ejpam-6505	330	29	α	α	NOUN
ejpam-6505	330	30	=	=	NOUN
ejpam-6505	330	31	20	20	NUM
ejpam-6505	330	32	)	)	PUNCT
ejpam-6505	330	33	are	be	AUX
ejpam-6505	330	34	closely	closely	ADV
ejpam-6505	330	35	a.	a.	PROPN
ejpam-6505	330	36	s.	s.	PROPN
ejpam-6505	330	37	aamer	aamer	PROPN
ejpam-6505	330	38	,	,	PUNCT
ejpam-6505	330	39	b.	b.	PROPN
ejpam-6505	330	40	a.	a.	PROPN
ejpam-6505	330	41	ahmed	ahmed	PROPN
ejpam-6505	330	42	,	,	PUNCT
ejpam-6505	330	43	s.	s.	PROPN
ejpam-6505	330	44	a.	a.	PROPN
ejpam-6505	330	45	mahrous	mahrous	PROPN
ejpam-6505	330	46	/	/	SYM
ejpam-6505	330	47	eur	eur	PROPN
ejpam-6505	330	48	.	.	PUNCT
ejpam-6505	331	1	j.	j.	PROPN
ejpam-6505	331	2	pure	pure	PROPN
ejpam-6505	331	3	appl	appl	PROPN
ejpam-6505	331	4	.	.	PROPN
ejpam-6505	331	5	math	math	PROPN
ejpam-6505	331	6	,	,	PUNCT
ejpam-6505	331	7	18	18	NUM
ejpam-6505	331	8	(	(	PUNCT
ejpam-6505	331	9	3	3	NUM
ejpam-6505	331	10	)	)	PUNCT
ejpam-6505	331	11	(	(	PUNCT
ejpam-6505	331	12	2025	2025	NUM
ejpam-6505	331	13	)	)	PUNCT
ejpam-6505	331	14	,	,	PUNCT
ejpam-6505	331	15	6505	6505	NUM
ejpam-6505	331	16	of	of	ADP
ejpam-6505	331	17	grouped	group	VERB
ejpam-6505	331	18	.	.	PUNCT
ejpam-6505	332	1	this	this	PRON
ejpam-6505	332	2	indicates	indicate	VERB
ejpam-6505	332	3	that	that	SCONJ
ejpam-6505	332	4	high	high	ADJ
ejpam-6505	332	5	permeability	permeability	NOUN
ejpam-6505	332	6	facilitates	facilitate	VERB
ejpam-6505	332	7	such	such	ADJ
ejpam-6505	332	8	efficient	efficient	ADJ
ejpam-6505	332	9	internal	internal	ADJ
ejpam-6505	332	10	thermal	thermal	ADJ
ejpam-6505	332	11	equilibration	equilibration	NOUN
ejpam-6505	332	12	likely	likely	ADJ
ejpam-6505	332	13	through	through	ADP
ejpam-6505	332	14	enhanced	enhance	VERB
ejpam-6505	332	15	internal	internal	ADJ
ejpam-6505	332	16	advective	advective	ADJ
ejpam-6505	332	17	heat	heat	NOUN
ejpam-6505	332	18	transfer	transfer	NOUN
ejpam-6505	332	19	pathways	pathway	NOUN
ejpam-6505	332	20	enabled	enable	VERB
ejpam-6505	332	21	by	by	ADP
ejpam-6505	332	22	the	the	DET
ejpam-6505	332	23	permeable	permeable	ADJ
ejpam-6505	332	24	structure	structure	NOUN
ejpam-6505	332	25	that	that	PRON
ejpam-6505	332	26	it	it	PRON
ejpam-6505	332	27	effectively	effectively	ADV
ejpam-6505	332	28	short	short	ADJ
ejpam-6505	332	29	-	-	PUNCT
ejpam-6505	332	30	circuits	circuit	NOUN
ejpam-6505	332	31	the	the	DET
ejpam-6505	332	32	externally	externally	ADV
ejpam-6505	332	33	imposed	impose	VERB
ejpam-6505	332	34	thermal	thermal	ADJ
ejpam-6505	332	35	gradient	gradient	NOUN
ejpam-6505	332	36	.	.	PUNCT
ejpam-6505	333	1	consequently	consequently	ADV
ejpam-6505	333	2	,	,	PUNCT
ejpam-6505	333	3	the	the	DET
ejpam-6505	333	4	thermocapillary	thermocapillary	ADJ
ejpam-6505	333	5	driving	drive	VERB
ejpam-6505	333	6	force	force	NOUN
ejpam-6505	333	7	is	be	AUX
ejpam-6505	333	8	significantly	significantly	ADV
ejpam-6505	333	9	reduced	reduce	VERB
ejpam-6505	333	10	,	,	PUNCT
ejpam-6505	333	11	irrespective	irrespective	ADV
ejpam-6505	333	12	of	of	ADP
ejpam-6505	333	13	the	the	DET
ejpam-6505	333	14	droplet	droplet	ADJ
ejpam-6505	333	15	’s	’s	PART
ejpam-6505	333	16	internal	internal	ADJ
ejpam-6505	333	17	viscosity	viscosity	NOUN
ejpam-6505	333	18	.	.	PUNCT
ejpam-6505	334	1	fig	fig	NOUN
ejpam-6505	334	2	.	.	PUNCT
ejpam-6505	335	1	12	12	NUM
ejpam-6505	335	2	shows	show	VERB
ejpam-6505	335	3	the	the	DET
ejpam-6505	335	4	streamlines	streamline	NOUN
ejpam-6505	335	5	of	of	ADP
ejpam-6505	335	6	the	the	DET
ejpam-6505	335	7	two	two	NUM
ejpam-6505	335	8	flows	flow	NOUN
ejpam-6505	335	9	under	under	ADP
ejpam-6505	335	10	study	study	NOUN
ejpam-6505	335	11	,	,	PUNCT
ejpam-6505	335	12	the	the	DET
ejpam-6505	335	13	flow	flow	NOUN
ejpam-6505	335	14	through	through	ADP
ejpam-6505	335	15	the	the	DET
ejpam-6505	335	16	porous	porous	ADJ
ejpam-6505	335	17	medium	medium	NOUN
ejpam-6505	335	18	outside	outside	ADJ
ejpam-6505	335	19	form	form	NOUN
ejpam-6505	335	20	the	the	DET
ejpam-6505	335	21	droplet	droplet	NOUN
ejpam-6505	335	22	(	(	PUNCT
ejpam-6505	335	23	r	r	NOUN
ejpam-6505	335	24	>	>	X
ejpam-6505	335	25	a	a	NOUN
ejpam-6505	335	26	)	)	PUNCT
ejpam-6505	335	27	and	and	CCONJ
ejpam-6505	335	28	the	the	DET
ejpam-6505	335	29	flow	flow	NOUN
ejpam-6505	335	30	within	within	ADP
ejpam-6505	335	31	the	the	DET
ejpam-6505	335	32	droplet	droplet	ADJ
ejpam-6505	335	33	itself	itself	PRON
ejpam-6505	335	34	(	(	PUNCT
ejpam-6505	335	35	r	r	NOUN
ejpam-6505	335	36	<	<	X
ejpam-6505	335	37	a	a	NOUN
ejpam-6505	335	38	)	)	PUNCT
ejpam-6505	335	39	.	.	PUNCT
ejpam-6505	336	1	the	the	DET
ejpam-6505	336	2	(	(	PUNCT
ejpam-6505	336	3	a	a	NOUN
ejpam-6505	336	4	)	)	PUNCT
ejpam-6505	336	5	,	,	PUNCT
ejpam-6505	336	6	(	(	PUNCT
ejpam-6505	336	7	b	b	X
ejpam-6505	336	8	)	)	PUNCT
ejpam-6505	336	9	and	and	CCONJ
ejpam-6505	336	10	(	(	PUNCT
ejpam-6505	336	11	c	c	NOUN
ejpam-6505	336	12	)	)	PUNCT
ejpam-6505	336	13	figures	figure	NOUN
ejpam-6505	336	14	show	show	VERB
ejpam-6505	336	15	the	the	DET
ejpam-6505	336	16	variations	variation	NOUN
ejpam-6505	336	17	in	in	ADP
ejpam-6505	336	18	the	the	DET
ejpam-6505	336	19	streamlines	streamline	NOUN
ejpam-6505	336	20	for	for	ADP
ejpam-6505	336	21	both	both	DET
ejpam-6505	336	22	regions	region	NOUN
ejpam-6505	336	23	with	with	ADP
ejpam-6505	336	24	different	different	ADJ
ejpam-6505	336	25	values	value	NOUN
ejpam-6505	336	26	of	of	ADP
ejpam-6505	336	27	the	the	DET
ejpam-6505	336	28	porosity	porosity	NOUN
ejpam-6505	336	29	parameter	parameter	NOUN
ejpam-6505	336	30	α	α	NOUN
ejpam-6505	336	31	,	,	PUNCT
ejpam-6505	336	32	the	the	DET
ejpam-6505	336	33	viscosity	viscosity	NOUN
ejpam-6505	336	34	ratio	ratio	NOUN
ejpam-6505	336	35	σ	σ	PROPN
ejpam-6505	336	36	and	and	CCONJ
ejpam-6505	336	37	the	the	DET
ejpam-6505	336	38	conductivity	conductivity	NOUN
ejpam-6505	336	39	ratio	ratio	NOUN
ejpam-6505	336	40	k	k	NOUN
ejpam-6505	336	41	,	,	PUNCT
ejpam-6505	336	42	while	while	SCONJ
ejpam-6505	336	43	the	the	DET
ejpam-6505	336	44	last	last	ADJ
ejpam-6505	336	45	figure	figure	NOUN
ejpam-6505	336	46	(	(	PUNCT
ejpam-6505	336	47	d	d	NOUN
ejpam-6505	336	48	)	)	PUNCT
ejpam-6505	336	49	show	show	VERB
ejpam-6505	336	50	the	the	DET
ejpam-6505	336	51	case	case	NOUN
ejpam-6505	336	52	of	of	ADP
ejpam-6505	336	53	a	a	DET
ejpam-6505	336	54	solid	solid	ADJ
ejpam-6505	336	55	particle	particle	NOUN
ejpam-6505	336	56	by	by	ADP
ejpam-6505	336	57	employing	employ	VERB
ejpam-6505	336	58	the	the	DET
ejpam-6505	336	59	limiting	limit	VERB
ejpam-6505	336	60	case	case	NOUN
ejpam-6505	336	61	of	of	ADP
ejpam-6505	336	62	σ	σ	PROPN
ejpam-6505	336	63	reaching	reach	VERB
ejpam-6505	336	64	infinity	infinity	NOUN
ejpam-6505	336	65	.	.	PUNCT
ejpam-6505	337	1	(	(	PUNCT
ejpam-6505	337	2	a	a	X
ejpam-6505	337	3	)	)	PUNCT
ejpam-6505	337	4	(	(	PUNCT
ejpam-6505	337	5	b	b	X
ejpam-6505	337	6	)	)	PUNCT
ejpam-6505	337	7	(	(	PUNCT
ejpam-6505	337	8	c	c	X
ejpam-6505	337	9	)	)	PUNCT
ejpam-6505	337	10	(	(	PUNCT
ejpam-6505	337	11	d	d	X
ejpam-6505	337	12	)	)	PUNCT
ejpam-6505	337	13	figure	figure	NOUN
ejpam-6505	337	14	12	12	NUM
ejpam-6505	337	15	:	:	PUNCT
ejpam-6505	337	16	the	the	DET
ejpam-6505	337	17	streamline	streamline	ADJ
ejpam-6505	337	18	function	function	NOUN
ejpam-6505	337	19	is	be	AUX
ejpam-6505	337	20	scaled	scale	VERB
ejpam-6505	337	21	with	with	ADP
ejpam-6505	337	22	respect	respect	NOUN
ejpam-6505	337	23	to	to	ADP
ejpam-6505	337	24	ua2	ua2	PROPN
ejpam-6505	337	25	for	for	ADP
ejpam-6505	337	26	translational	translational	ADJ
ejpam-6505	337	27	motion	motion	NOUN
ejpam-6505	337	28	:	:	PUNCT
ejpam-6505	337	29	ψ(i)/ua2	ψ(i)/ua2	PROPN
ejpam-6505	337	30	=	=	SYM
ejpam-6505	337	31	c1	c1	PROPN
ejpam-6505	337	32	,	,	PUNCT
ejpam-6505	337	33	i	i	PRON
ejpam-6505	337	34	=	=	SYM
ejpam-6505	338	1	d	d	PROPN
ejpam-6505	338	2	,	,	PUNCT
ejpam-6505	338	3	p	p	X
ejpam-6505	338	4	,	,	PUNCT
ejpam-6505	338	5	where	where	SCONJ
ejpam-6505	338	6	c1	c1	PROPN
ejpam-6505	338	7	is	be	AUX
ejpam-6505	338	8	a	a	DET
ejpam-6505	338	9	constant	constant	ADJ
ejpam-6505	338	10	.	.	PUNCT
ejpam-6505	339	1	each	each	DET
ejpam-6505	339	2	contour	contour	NOUN
ejpam-6505	339	3	is	be	AUX
ejpam-6505	339	4	found	find	VERB
ejpam-6505	339	5	by	by	ADP
ejpam-6505	339	6	assigning	assign	VERB
ejpam-6505	339	7	a	a	DET
ejpam-6505	339	8	specific	specific	ADJ
ejpam-6505	339	9	value	value	NOUN
ejpam-6505	339	10	to	to	ADP
ejpam-6505	339	11	the	the	DET
ejpam-6505	339	12	constant	constant	ADJ
ejpam-6505	339	13	c1	c1	NOUN
ejpam-6505	339	14	,	,	PUNCT
ejpam-6505	339	15	with	with	ADP
ejpam-6505	339	16	(	(	PUNCT
ejpam-6505	339	17	a	a	X
ejpam-6505	339	18	)	)	PUNCT
ejpam-6505	339	19	α	α	PROPN
ejpam-6505	339	20	→	→	SYM
ejpam-6505	339	21	0	0	NUM
ejpam-6505	339	22	,	,	PUNCT
ejpam-6505	339	23	σ	σ	NOUN
ejpam-6505	339	24	=	=	SYM
ejpam-6505	339	25	0.5	0.5	NUM
ejpam-6505	339	26	,	,	PUNCT
ejpam-6505	339	27	k	k	NOUN
ejpam-6505	339	28	=	=	SYM
ejpam-6505	339	29	1	1	NUM
ejpam-6505	339	30	,	,	PUNCT
ejpam-6505	339	31	(	(	PUNCT
ejpam-6505	339	32	b	b	X
ejpam-6505	339	33	)	)	PUNCT
ejpam-6505	339	34	α	α	NOUN
ejpam-6505	339	35	=	=	SYM
ejpam-6505	339	36	5	5	NUM
ejpam-6505	339	37	,	,	PUNCT
ejpam-6505	339	38	σ	σ	NOUN
ejpam-6505	339	39	=	=	SYM
ejpam-6505	339	40	1	1	NUM
ejpam-6505	339	41	,	,	PUNCT
ejpam-6505	339	42	k	k	X
ejpam-6505	339	43	=	=	PUNCT
ejpam-6505	339	44	0.155	0.155	NUM
ejpam-6505	339	45	,	,	PUNCT
ejpam-6505	339	46	(	(	PUNCT
ejpam-6505	339	47	c	c	X
ejpam-6505	339	48	)	)	PUNCT
ejpam-6505	339	49	α→	α→	PROPN
ejpam-6505	339	50	∞	∞	PROPN
ejpam-6505	339	51	,	,	PUNCT
ejpam-6505	339	52	σ	σ	X
ejpam-6505	339	53	=	=	SYM
ejpam-6505	339	54	3	3	NUM
ejpam-6505	339	55	,	,	PUNCT
ejpam-6505	339	56	k	k	NOUN
ejpam-6505	339	57	=	=	SYM
ejpam-6505	339	58	2	2	NUM
ejpam-6505	339	59	,	,	PUNCT
ejpam-6505	339	60	(	(	PUNCT
ejpam-6505	339	61	d	d	X
ejpam-6505	339	62	)	)	PUNCT
ejpam-6505	339	63	α→	α→	PROPN
ejpam-6505	339	64	0	0	NUM
ejpam-6505	339	65	,	,	PUNCT
ejpam-6505	339	66	σ	σ	PROPN
ejpam-6505	339	67	→	→	SYM
ejpam-6505	339	68	∞	∞	PROPN
ejpam-6505	339	69	,	,	PUNCT
ejpam-6505	339	70	k	k	PROPN
ejpam-6505	339	71	=	=	SYM
ejpam-6505	339	72	2	2	NUM
ejpam-6505	339	73	(	(	PUNCT
ejpam-6505	339	74	solid	solid	ADJ
ejpam-6505	339	75	particle	particle	NOUN
ejpam-6505	339	76	)	)	PUNCT
ejpam-6505	339	77	.	.	PUNCT
ejpam-6505	340	1	a.	a.	PROPN
ejpam-6505	340	2	s.	s.	PROPN
ejpam-6505	340	3	aamer	aamer	PROPN
ejpam-6505	340	4	,	,	PUNCT
ejpam-6505	340	5	b.	b.	PROPN
ejpam-6505	340	6	a.	a.	PROPN
ejpam-6505	340	7	ahmed	ahmed	PROPN
ejpam-6505	340	8	,	,	PUNCT
ejpam-6505	340	9	s.	s.	PROPN
ejpam-6505	340	10	a.	a.	PROPN
ejpam-6505	340	11	mahrous	mahrous	PROPN
ejpam-6505	340	12	/	/	SYM
ejpam-6505	340	13	eur	eur	PROPN
ejpam-6505	340	14	.	.	PUNCT
ejpam-6505	341	1	j.	j.	PROPN
ejpam-6505	341	2	pure	pure	PROPN
ejpam-6505	341	3	appl	appl	PROPN
ejpam-6505	341	4	.	.	PROPN
ejpam-6505	341	5	math	math	PROPN
ejpam-6505	341	6	,	,	PUNCT
ejpam-6505	341	7	18	18	NUM
ejpam-6505	341	8	(	(	PUNCT
ejpam-6505	341	9	3	3	NUM
ejpam-6505	341	10	)	)	PUNCT
ejpam-6505	341	11	(	(	PUNCT
ejpam-6505	341	12	2025	2025	NUM
ejpam-6505	341	13	)	)	PUNCT
ejpam-6505	341	14	,	,	PUNCT
ejpam-6505	341	15	6505	6505	NUM
ejpam-6505	341	16	of	of	ADP
ejpam-6505	341	17	5.2	5.2	NUM
ejpam-6505	341	18	.	.	PUNCT
ejpam-6505	342	1	photocapillary	photocapillary	ADJ
ejpam-6505	342	2	the	the	DET
ejpam-6505	342	3	investigation	investigation	NOUN
ejpam-6505	342	4	focuses	focus	VERB
ejpam-6505	342	5	on	on	ADP
ejpam-6505	342	6	the	the	DET
ejpam-6505	342	7	non	non	ADJ
ejpam-6505	342	8	-	-	ADJ
ejpam-6505	342	9	dimensional	dimensional	ADJ
ejpam-6505	342	10	photocapillary	photocapillary	ADJ
ejpam-6505	342	11	velocity	velocity	NOUN
ejpam-6505	342	12	u∗	u∗	NOUN
ejpam-6505	342	13	ph	ph	NOUN
ejpam-6505	342	14	and	and	CCONJ
ejpam-6505	342	15	force	force	PROPN
ejpam-6505	342	16	f	f	PROPN
ejpam-6505	342	17	∗	∗	NOUN
ejpam-6505	342	18	ph	ph	PROPN
ejpam-6505	342	19	for	for	ADP
ejpam-6505	342	20	a	a	DET
ejpam-6505	342	21	spherical	spherical	ADJ
ejpam-6505	342	22	droplet	droplet	NOUN
ejpam-6505	342	23	within	within	ADP
ejpam-6505	342	24	a	a	DET
ejpam-6505	342	25	porous	porous	ADJ
ejpam-6505	342	26	medium	medium	NOUN
ejpam-6505	342	27	,	,	PUNCT
ejpam-6505	342	28	as	as	SCONJ
ejpam-6505	342	29	defined	define	VERB
ejpam-6505	342	30	by	by	ADP
ejpam-6505	342	31	expressions	expression	NOUN
ejpam-6505	342	32	(	(	PUNCT
ejpam-6505	342	33	4.26	4.26	NUM
ejpam-6505	342	34	)	)	PUNCT
ejpam-6505	342	35	and	and	CCONJ
ejpam-6505	342	36	(	(	PUNCT
ejpam-6505	342	37	4.30	4.30	NUM
ejpam-6505	342	38	)	)	PUNCT
ejpam-6505	342	39	respectively	respectively	ADV
ejpam-6505	342	40	.	.	PUNCT
ejpam-6505	343	1	the	the	DET
ejpam-6505	343	2	dynamics	dynamic	NOUN
ejpam-6505	343	3	are	be	AUX
ejpam-6505	343	4	primarily	primarily	ADV
ejpam-6505	343	5	governed	govern	VERB
ejpam-6505	343	6	by	by	ADP
ejpam-6505	343	7	the	the	DET
ejpam-6505	343	8	permeability	permeability	NOUN
ejpam-6505	343	9	parameter	parameter	NOUN
ejpam-6505	343	10	(	(	PUNCT
ejpam-6505	343	11	α	α	NOUN
ejpam-6505	343	12	=	=	NOUN
ejpam-6505	343	13	√	√	NUM
ejpam-6505	343	14	µa2/µ̃k	µa2/µ̃k	NOUN
ejpam-6505	343	15	)	)	PUNCT
ejpam-6505	343	16	,	,	PUNCT
ejpam-6505	343	17	which	which	PRON
ejpam-6505	343	18	quantifies	quantify	VERB
ejpam-6505	343	19	the	the	DET
ejpam-6505	343	20	porous	porous	ADJ
ejpam-6505	343	21	medium	medium	NOUN
ejpam-6505	343	22	’s	’s	NOUN
ejpam-6505	343	23	resistance	resistance	NOUN
ejpam-6505	343	24	to	to	ADP
ejpam-6505	343	25	flow	flow	VERB
ejpam-6505	343	26	,	,	PUNCT
ejpam-6505	343	27	the	the	DET
ejpam-6505	343	28	thermal	thermal	ADJ
ejpam-6505	343	29	conductivity	conductivity	NOUN
ejpam-6505	343	30	ratio	ratio	NOUN
ejpam-6505	343	31	(	(	PUNCT
ejpam-6505	343	32	k	k	NOUN
ejpam-6505	343	33	=	=	SYM
ejpam-6505	343	34	kd	kd	PROPN
ejpam-6505	343	35	/	/	SYM
ejpam-6505	343	36	kp	kp	PROPN
ejpam-6505	343	37	)	)	PUNCT
ejpam-6505	343	38	between	between	ADP
ejpam-6505	343	39	the	the	DET
ejpam-6505	343	40	droplet	droplet	NOUN
ejpam-6505	343	41	and	and	CCONJ
ejpam-6505	343	42	the	the	DET
ejpam-6505	343	43	surrounding	surround	VERB
ejpam-6505	343	44	medium	medium	NOUN
ejpam-6505	343	45	,	,	PUNCT
ejpam-6505	343	46	and	and	CCONJ
ejpam-6505	343	47	the	the	DET
ejpam-6505	343	48	viscosity	viscosity	NOUN
ejpam-6505	343	49	ratio	ratio	NOUN
ejpam-6505	343	50	(	(	PUNCT
ejpam-6505	343	51	σ	σ	NOUN
ejpam-6505	343	52	=	=	SYM
ejpam-6505	343	53	µ/µ̃	µ/µ̃	PROPN
ejpam-6505	343	54	)	)	PUNCT
ejpam-6505	343	55	between	between	ADP
ejpam-6505	343	56	the	the	DET
ejpam-6505	343	57	droplet	droplet	NOUN
ejpam-6505	343	58	and	and	CCONJ
ejpam-6505	343	59	the	the	DET
ejpam-6505	343	60	surrounding	surround	VERB
ejpam-6505	343	61	medium	medium	NOUN
ejpam-6505	343	62	.	.	PUNCT
ejpam-6505	344	1	stokes	stokes	PROPN
ejpam-6505	344	2	flow	flow	VERB
ejpam-6505	344	3	darcain	darcain	NOUN
ejpam-6505	344	4	flow	flow	NOUN
ejpam-6505	344	5	figure	figure	NOUN
ejpam-6505	344	6	13	13	NUM
ejpam-6505	344	7	:	:	PUNCT
ejpam-6505	344	8	normalized	normalize	VERB
ejpam-6505	344	9	photocapillary	photocapillary	ADJ
ejpam-6505	344	10	velocity	velocity	NOUN
ejpam-6505	344	11	u∗	u∗	NOUN
ejpam-6505	344	12	ph	ph	NOUN
ejpam-6505	344	13	versus	versus	ADP
ejpam-6505	344	14	permeability	permeability	NOUN
ejpam-6505	344	15	parameter	parameter	NOUN
ejpam-6505	344	16	α	α	NOUN
ejpam-6505	344	17	for	for	ADP
ejpam-6505	344	18	different	different	ADJ
ejpam-6505	344	19	values	value	NOUN
ejpam-6505	344	20	of	of	ADP
ejpam-6505	344	21	thermal	thermal	ADJ
ejpam-6505	344	22	conductivity	conductivity	NOUN
ejpam-6505	344	23	ratio	ratio	NOUN
ejpam-6505	344	24	k	k	PROPN
ejpam-6505	344	25	at	at	ADP
ejpam-6505	344	26	specific	specific	ADJ
ejpam-6505	344	27	values	value	NOUN
ejpam-6505	344	28	of	of	ADP
ejpam-6505	344	29	viscosity	viscosity	NOUN
ejpam-6505	344	30	ratio(σ	ratio(σ	NOUN
ejpam-6505	344	31	=	=	SYM
ejpam-6505	344	32	0	0	NUM
ejpam-6505	344	33	,	,	PUNCT
ejpam-6505	344	34	σ	σ	PROPN
ejpam-6505	344	35	=	=	NOUN
ejpam-6505	344	36	0.5	0.5	NUM
ejpam-6505	344	37	)	)	PUNCT
ejpam-6505	344	38	.	.	PUNCT
ejpam-6505	345	1	a.	a.	PROPN
ejpam-6505	345	2	s.	s.	PROPN
ejpam-6505	345	3	aamer	aamer	PROPN
ejpam-6505	345	4	,	,	PUNCT
ejpam-6505	345	5	b.	b.	PROPN
ejpam-6505	345	6	a.	a.	PROPN
ejpam-6505	345	7	ahmed	ahmed	PROPN
ejpam-6505	345	8	,	,	PUNCT
ejpam-6505	345	9	s.	s.	PROPN
ejpam-6505	345	10	a.	a.	PROPN
ejpam-6505	345	11	mahrous	mahrous	PROPN
ejpam-6505	345	12	/	/	SYM
ejpam-6505	345	13	eur	eur	PROPN
ejpam-6505	345	14	.	.	PUNCT
ejpam-6505	346	1	j.	j.	PROPN
ejpam-6505	346	2	pure	pure	PROPN
ejpam-6505	346	3	appl	appl	PROPN
ejpam-6505	346	4	.	.	PROPN
ejpam-6505	346	5	math	math	PROPN
ejpam-6505	346	6	,	,	PUNCT
ejpam-6505	346	7	18	18	NUM
ejpam-6505	346	8	(	(	PUNCT
ejpam-6505	346	9	3	3	NUM
ejpam-6505	346	10	)	)	PUNCT
ejpam-6505	346	11	(	(	PUNCT
ejpam-6505	346	12	2025	2025	NUM
ejpam-6505	346	13	)	)	PUNCT
ejpam-6505	346	14	,	,	PUNCT
ejpam-6505	346	15	6505	6505	NUM
ejpam-6505	346	16	of	of	ADP
ejpam-6505	346	17	stokes	stokes	PROPN
ejpam-6505	346	18	flow	flow	NOUN
ejpam-6505	346	19	darcain	darcain	NOUN
ejpam-6505	346	20	flow	flow	NOUN
ejpam-6505	346	21	figure	figure	NOUN
ejpam-6505	346	22	14	14	NUM
ejpam-6505	346	23	:	:	PUNCT
ejpam-6505	346	24	normalized	normalize	VERB
ejpam-6505	346	25	photocapillary	photocapillary	ADJ
ejpam-6505	346	26	velocity	velocity	NOUN
ejpam-6505	346	27	u∗	u∗	NOUN
ejpam-6505	346	28	ph	ph	NOUN
ejpam-6505	346	29	versus	versus	ADP
ejpam-6505	346	30	permeability	permeability	NOUN
ejpam-6505	346	31	parameter	parameter	NOUN
ejpam-6505	346	32	α	α	NOUN
ejpam-6505	346	33	for	for	ADP
ejpam-6505	346	34	different	different	ADJ
ejpam-6505	346	35	values	value	NOUN
ejpam-6505	346	36	of	of	ADP
ejpam-6505	346	37	viscosity	viscosity	NOUN
ejpam-6505	346	38	ratio	ratio	NOUN
ejpam-6505	346	39	σ	σ	NOUN
ejpam-6505	346	40	at	at	ADP
ejpam-6505	346	41	specific	specific	ADJ
ejpam-6505	346	42	values	value	NOUN
ejpam-6505	346	43	thermal	thermal	ADJ
ejpam-6505	346	44	conductivity	conductivity	NOUN
ejpam-6505	346	45	ratio	ratio	NOUN
ejpam-6505	346	46	(	(	PUNCT
ejpam-6505	346	47	k	k	NOUN
ejpam-6505	346	48	=	=	SYM
ejpam-6505	346	49	1	1	NUM
ejpam-6505	346	50	,	,	PUNCT
ejpam-6505	346	51	k	k	PROPN
ejpam-6505	347	1	=	=	NOUN
ejpam-6505	348	1	0.3	0.3	NUM
ejpam-6505	348	2	)	)	PUNCT
ejpam-6505	348	3	.	.	PUNCT
ejpam-6505	349	1	figures	figure	NOUN
ejpam-6505	349	2	13	13	NUM
ejpam-6505	349	3	and	and	CCONJ
ejpam-6505	349	4	14	14	NUM
ejpam-6505	349	5	graphically	graphically	ADV
ejpam-6505	349	6	depict	depict	VERB
ejpam-6505	349	7	how	how	SCONJ
ejpam-6505	349	8	the	the	DET
ejpam-6505	349	9	thermocapillary	thermocapillary	ADJ
ejpam-6505	349	10	velocity	velocity	NOUN
ejpam-6505	349	11	changes	change	NOUN
ejpam-6505	349	12	in	in	ADP
ejpam-6505	349	13	response	response	NOUN
ejpam-6505	349	14	to	to	ADP
ejpam-6505	349	15	variations	variation	NOUN
ejpam-6505	349	16	in	in	ADP
ejpam-6505	349	17	the	the	DET
ejpam-6505	349	18	permeability	permeability	NOUN
ejpam-6505	349	19	parameter	parameter	NOUN
ejpam-6505	349	20	.	.	PUNCT
ejpam-6505	350	1	these	these	DET
ejpam-6505	350	2	illustrations	illustration	NOUN
ejpam-6505	350	3	further	far	ADV
ejpam-6505	350	4	explore	explore	VERB
ejpam-6505	350	5	this	this	DET
ejpam-6505	350	6	relationship	relationship	NOUN
ejpam-6505	350	7	under	under	ADP
ejpam-6505	350	8	several	several	ADJ
ejpam-6505	350	9	different	different	ADJ
ejpam-6505	350	10	conditions	condition	NOUN
ejpam-6505	350	11	of	of	ADP
ejpam-6505	350	12	thermal	thermal	ADJ
ejpam-6505	350	13	conductivity	conductivity	NOUN
ejpam-6505	350	14	ratio	ratio	NOUN
ejpam-6505	350	15	and	and	CCONJ
ejpam-6505	350	16	viscosity	viscosity	NOUN
ejpam-6505	350	17	ratio	ratio	NOUN
ejpam-6505	350	18	.	.	PUNCT
ejpam-6505	351	1	these	these	DET
ejpam-6505	351	2	figures	figure	NOUN
ejpam-6505	351	3	show	show	VERB
ejpam-6505	351	4	that	that	SCONJ
ejpam-6505	351	5	u∗	u∗	ADJ
ejpam-6505	351	6	ph	ph	NOUN
ejpam-6505	351	7	generally	generally	ADV
ejpam-6505	351	8	decreases	decrease	VERB
ejpam-6505	351	9	as	as	ADP
ejpam-6505	351	10	α	α	NOUN
ejpam-6505	351	11	increases	increase	NOUN
ejpam-6505	351	12	,	,	PUNCT
ejpam-6505	351	13	across	across	ADP
ejpam-6505	351	14	the	the	DET
ejpam-6505	351	15	entire	entire	ADJ
ejpam-6505	351	16	range	range	NOUN
ejpam-6505	351	17	of	of	ADP
ejpam-6505	351	18	thermal	thermal	ADJ
ejpam-6505	351	19	conductivity	conductivity	NOUN
ejpam-6505	351	20	and	and	CCONJ
ejpam-6505	351	21	viscosity	viscosity	NOUN
ejpam-6505	351	22	ratios	ratio	NOUN
ejpam-6505	351	23	studied	study	VERB
ejpam-6505	351	24	.	.	PUNCT
ejpam-6505	352	1	in	in	ADP
ejpam-6505	352	2	the	the	DET
ejpam-6505	352	3	stokes	stoke	NOUN
ejpam-6505	352	4	limit	limit	NOUN
ejpam-6505	352	5	(	(	PUNCT
ejpam-6505	352	6	α	α	NOUN
ejpam-6505	352	7	=	=	NOUN
ejpam-6505	352	8	0	0	NUM
ejpam-6505	352	9	)	)	PUNCT
ejpam-6505	352	10	,	,	PUNCT
ejpam-6505	352	11	where	where	SCONJ
ejpam-6505	352	12	the	the	DET
ejpam-6505	352	13	porous	porous	ADJ
ejpam-6505	352	14	medium	medium	NOUN
ejpam-6505	352	15	’s	’s	PART
ejpam-6505	352	16	influence	influence	NOUN
ejpam-6505	352	17	is	be	AUX
ejpam-6505	352	18	negligible	negligible	ADJ
ejpam-6505	352	19	,	,	PUNCT
ejpam-6505	352	20	u∗	u∗	ADJ
ejpam-6505	352	21	ph	ph	NOUN
ejpam-6505	352	22	reaches	reach	VERB
ejpam-6505	352	23	its	its	PRON
ejpam-6505	352	24	maximum	maximum	ADJ
ejpam-6505	352	25	value	value	NOUN
ejpam-6505	352	26	.	.	PUNCT
ejpam-6505	353	1	this	this	DET
ejpam-6505	353	2	observation	observation	NOUN
ejpam-6505	353	3	is	be	AUX
ejpam-6505	353	4	consistent	consistent	ADJ
ejpam-6505	353	5	with	with	ADP
ejpam-6505	353	6	classical	classical	ADJ
ejpam-6505	353	7	analyses	analysis	NOUN
ejpam-6505	353	8	of	of	ADP
ejpam-6505	353	9	thermocapillary	thermocapillary	ADJ
ejpam-6505	353	10	migration	migration	NOUN
ejpam-6505	353	11	in	in	ADP
ejpam-6505	353	12	unbounded	unbounded	ADJ
ejpam-6505	353	13	fluids	fluid	NOUN
ejpam-6505	353	14	,	,	PUNCT
ejpam-6505	353	15	such	such	ADJ
ejpam-6505	353	16	as	as	ADP
ejpam-6505	353	17	the	the	DET
ejpam-6505	353	18	seminal	seminal	ADJ
ejpam-6505	353	19	work	work	NOUN
ejpam-6505	353	20	by	by	ADP
ejpam-6505	353	21	young	young	ADJ
ejpam-6505	354	1	[	[	X
ejpam-6505	354	2	6	6	NUM
ejpam-6505	354	3	]	]	PUNCT
ejpam-6505	354	4	,	,	PUNCT
ejpam-6505	354	5	where	where	SCONJ
ejpam-6505	354	6	motion	motion	NOUN
ejpam-6505	354	7	is	be	AUX
ejpam-6505	354	8	driven	drive	VERB
ejpam-6505	354	9	by	by	ADP
ejpam-6505	354	10	marangoni	marangoni	NOUN
ejpam-6505	354	11	stresses	stress	NOUN
ejpam-6505	354	12	unimpeded	unimpeded	ADJ
ejpam-6505	354	13	by	by	ADP
ejpam-6505	354	14	a	a	DET
ejpam-6505	354	15	porous	porous	ADJ
ejpam-6505	354	16	matrix	matrix	NOUN
ejpam-6505	354	17	.	.	PUNCT
ejpam-6505	355	1	for	for	ADP
ejpam-6505	355	2	small	small	ADJ
ejpam-6505	355	3	permeability	permeability	NOUN
ejpam-6505	355	4	parameters	parameter	NOUN
ejpam-6505	355	5	(	(	PUNCT
ejpam-6505	355	6	α	α	X
ejpam-6505	355	7	<	<	X
ejpam-6505	355	8	1	1	NUM
ejpam-6505	355	9	)	)	PUNCT
ejpam-6505	355	10	,	,	PUNCT
ejpam-6505	355	11	u∗	u∗	ADJ
ejpam-6505	355	12	ph	ph	PROPN
ejpam-6505	355	13	demonstrates	demonstrate	VERB
ejpam-6505	355	14	a	a	DET
ejpam-6505	355	15	pronounced	pronounced	ADJ
ejpam-6505	355	16	insensitivity	insensitivity	NOUN
ejpam-6505	355	17	,	,	PUNCT
ejpam-6505	355	18	maintaining	maintain	VERB
ejpam-6505	355	19	a	a	DET
ejpam-6505	355	20	relatively	relatively	ADV
ejpam-6505	355	21	constant	constant	ADJ
ejpam-6505	355	22	value	value	NOUN
ejpam-6505	355	23	.	.	PUNCT
ejpam-6505	356	1	this	this	DET
ejpam-6505	356	2	regime	regime	NOUN
ejpam-6505	356	3	signifies	signify	VERB
ejpam-6505	356	4	that	that	SCONJ
ejpam-6505	356	5	the	the	DET
ejpam-6505	356	6	porous	porous	ADJ
ejpam-6505	356	7	structure	structure	NOUN
ejpam-6505	356	8	offers	offer	VERB
ejpam-6505	356	9	minimal	minimal	ADJ
ejpam-6505	356	10	resistance	resistance	NOUN
ejpam-6505	356	11	to	to	ADP
ejpam-6505	356	12	the	the	DET
ejpam-6505	356	13	droplet	droplet	NOUN
ejpam-6505	356	14	’s	’s	PART
ejpam-6505	356	15	motion	motion	NOUN
ejpam-6505	356	16	,	,	PUNCT
ejpam-6505	356	17	mirroring	mirror	VERB
ejpam-6505	356	18	the	the	DET
ejpam-6505	356	19	fluid	fluid	ADJ
ejpam-6505	356	20	dynamics	dynamic	NOUN
ejpam-6505	356	21	within	within	ADP
ejpam-6505	356	22	a	a	DET
ejpam-6505	356	23	highly	highly	ADV
ejpam-6505	356	24	permeable	permeable	ADJ
ejpam-6505	356	25	or	or	CCONJ
ejpam-6505	356	26	sparsely	sparsely	ADV
ejpam-6505	356	27	constituted	constitute	VERB
ejpam-6505	356	28	porous	porous	ADJ
ejpam-6505	356	29	system	system	NOUN
ejpam-6505	356	30	.	.	PUNCT
ejpam-6505	357	1	a	a	DET
ejpam-6505	357	2	sharp	sharp	ADJ
ejpam-6505	357	3	decline	decline	NOUN
ejpam-6505	357	4	in	in	ADP
ejpam-6505	357	5	u∗	u∗	ADJ
ejpam-6505	357	6	ph	ph	NOUN
ejpam-6505	357	7	is	be	AUX
ejpam-6505	357	8	observed	observe	VERB
ejpam-6505	357	9	in	in	ADP
ejpam-6505	357	10	the	the	DET
ejpam-6505	357	11	transitional	transitional	ADJ
ejpam-6505	357	12	regime	regime	NOUN
ejpam-6505	357	13	(	(	PUNCT
ejpam-6505	357	14	1	1	NUM
ejpam-6505	357	15	<	<	X
ejpam-6505	357	16	α	α	X
ejpam-6505	357	17	<	<	X
ejpam-6505	357	18	100	100	NUM
ejpam-6505	357	19	)	)	PUNCT
ejpam-6505	357	20	,	,	PUNCT
ejpam-6505	357	21	indicating	indicate	VERB
ejpam-6505	357	22	a	a	DET
ejpam-6505	357	23	significant	significant	ADJ
ejpam-6505	357	24	increase	increase	NOUN
ejpam-6505	357	25	in	in	ADP
ejpam-6505	357	26	darcy	darcy	PROPN
ejpam-6505	357	27	drag	drag	PROPN
ejpam-6505	357	28	exerted	exert	VERB
ejpam-6505	357	29	by	by	ADP
ejpam-6505	357	30	the	the	DET
ejpam-6505	357	31	porous	porous	ADJ
ejpam-6505	357	32	medium	medium	NOUN
ejpam-6505	357	33	.	.	PUNCT
ejpam-6505	358	1	this	this	DET
ejpam-6505	358	2	behavior	behavior	NOUN
ejpam-6505	358	3	is	be	AUX
ejpam-6505	358	4	analogous	analogous	ADJ
ejpam-6505	358	5	to	to	ADP
ejpam-6505	358	6	the	the	DET
ejpam-6505	358	7	transition	transition	NOUN
ejpam-6505	358	8	from	from	ADP
ejpam-6505	358	9	stokes	stokes	PROPN
ejpam-6505	358	10	flow	flow	NOUN
ejpam-6505	358	11	to	to	ADP
ejpam-6505	358	12	darcy	darcy	PROPN
ejpam-6505	358	13	flow	flow	NOUN
ejpam-6505	358	14	for	for	ADP
ejpam-6505	358	15	rigid	rigid	ADJ
ejpam-6505	358	16	particles	particle	NOUN
ejpam-6505	358	17	,	,	PUNCT
ejpam-6505	358	18	though	though	SCONJ
ejpam-6505	358	19	modified	modify	VERB
ejpam-6505	358	20	by	by	ADP
ejpam-6505	358	21	the	the	DET
ejpam-6505	358	22	internal	internal	ADJ
ejpam-6505	358	23	circulation	circulation	NOUN
ejpam-6505	358	24	and	and	CCONJ
ejpam-6505	358	25	deformable	deformable	ADJ
ejpam-6505	358	26	interface	interface	NOUN
ejpam-6505	358	27	of	of	ADP
ejpam-6505	358	28	the	the	DET
ejpam-6505	358	29	droplet	droplet	ADJ
ejpam-6505	358	30	[	[	X
ejpam-6505	358	31	36	36	NUM
ejpam-6505	358	32	]	]	PUNCT
ejpam-6505	358	33	.	.	PUNCT
ejpam-6505	359	1	finally	finally	ADV
ejpam-6505	359	2	,	,	PUNCT
ejpam-6505	359	3	in	in	ADP
ejpam-6505	359	4	the	the	DET
ejpam-6505	359	5	darcian	darcian	NOUN
ejpam-6505	359	6	limit	limit	NOUN
ejpam-6505	359	7	(	(	PUNCT
ejpam-6505	359	8	α	α	X
ejpam-6505	359	9	>	>	X
ejpam-6505	359	10	100	100	NUM
ejpam-6505	359	11	)	)	PUNCT
ejpam-6505	359	12	,	,	PUNCT
ejpam-6505	359	13	where	where	SCONJ
ejpam-6505	359	14	the	the	DET
ejpam-6505	359	15	porous	porous	ADJ
ejpam-6505	359	16	medium	medium	NOUN
ejpam-6505	359	17	’s	’s	PART
ejpam-6505	359	18	resistance	resistance	NOUN
ejpam-6505	359	19	dominates	dominate	VERB
ejpam-6505	359	20	,	,	PUNCT
ejpam-6505	359	21	the	the	DET
ejpam-6505	359	22	photocapillary	photocapillary	ADJ
ejpam-6505	359	23	velocity	velocity	NOUN
ejpam-6505	359	24	effectively	effectively	ADV
ejpam-6505	359	25	vanishes	vanish	VERB
ejpam-6505	359	26	.	.	PUNCT
ejpam-6505	360	1	this	this	PRON
ejpam-6505	360	2	is	be	AUX
ejpam-6505	360	3	expected	expect	VERB
ejpam-6505	360	4	,	,	PUNCT
ejpam-6505	360	5	as	as	ADP
ejpam-6505	360	6	the	the	DET
ejpam-6505	360	7	pressure	pressure	NOUN
ejpam-6505	360	8	drop	drop	NOUN
ejpam-6505	360	9	required	require	VERB
ejpam-6505	360	10	to	to	PART
ejpam-6505	360	11	drive	drive	VERB
ejpam-6505	360	12	flow	flow	NOUN
ejpam-6505	360	13	through	through	ADP
ejpam-6505	360	14	a	a	DET
ejpam-6505	360	15	dense	dense	ADJ
ejpam-6505	360	16	porous	porous	ADJ
ejpam-6505	360	17	medium	medium	NOUN
ejpam-6505	360	18	at	at	ADP
ejpam-6505	360	19	a	a	DET
ejpam-6505	360	20	given	give	VERB
ejpam-6505	360	21	velocity	velocity	NOUN
ejpam-6505	360	22	scales	scale	NOUN
ejpam-6505	360	23	with	with	ADP
ejpam-6505	360	24	decreasing	decrease	VERB
ejpam-6505	360	25	permeability	permeability	NOUN
ejpam-6505	360	26	(	(	PUNCT
ejpam-6505	360	27	increasing	increase	VERB
ejpam-6505	360	28	α	α	X
ejpam-6505	360	29	)	)	PUNCT
ejpam-6505	360	30	.	.	PUNCT
ejpam-6505	361	1	figures	figure	NOUN
ejpam-6505	361	2	10	10	NUM
ejpam-6505	361	3	and	and	CCONJ
ejpam-6505	361	4	11	11	NUM
ejpam-6505	361	5	also	also	ADV
ejpam-6505	361	6	demonstrate	demonstrate	VERB
ejpam-6505	361	7	that	that	SCONJ
ejpam-6505	361	8	for	for	ADP
ejpam-6505	361	9	a.	a.	PROPN
ejpam-6505	361	10	s.	s.	PROPN
ejpam-6505	361	11	aamer	aamer	PROPN
ejpam-6505	361	12	,	,	PUNCT
ejpam-6505	361	13	b.	b.	PROPN
ejpam-6505	361	14	a.	a.	PROPN
ejpam-6505	361	15	ahmed	ahmed	PROPN
ejpam-6505	361	16	,	,	PUNCT
ejpam-6505	361	17	s.	s.	PROPN
ejpam-6505	361	18	a.	a.	PROPN
ejpam-6505	361	19	mahrous	mahrous	PROPN
ejpam-6505	361	20	/	/	SYM
ejpam-6505	361	21	eur	eur	PROPN
ejpam-6505	361	22	.	.	PUNCT
ejpam-6505	362	1	j.	j.	PROPN
ejpam-6505	362	2	pure	pure	PROPN
ejpam-6505	362	3	appl	appl	PROPN
ejpam-6505	362	4	.	.	PROPN
ejpam-6505	362	5	math	math	PROPN
ejpam-6505	362	6	,	,	PUNCT
ejpam-6505	362	7	18	18	NUM
ejpam-6505	362	8	(	(	PUNCT
ejpam-6505	362	9	3	3	NUM
ejpam-6505	362	10	)	)	PUNCT
ejpam-6505	362	11	(	(	PUNCT
ejpam-6505	362	12	2025	2025	NUM
ejpam-6505	362	13	)	)	PUNCT
ejpam-6505	362	14	,	,	PUNCT
ejpam-6505	362	15	6505	6505	NUM
ejpam-6505	362	16	of	of	ADP
ejpam-6505	362	17	a	a	DET
ejpam-6505	362	18	fixed	fixed	ADJ
ejpam-6505	362	19	α	α	NOUN
ejpam-6505	362	20	,	,	PUNCT
ejpam-6505	362	21	u∗	u∗	ADJ
ejpam-6505	362	22	ph	ph	ADJ
ejpam-6505	362	23	increases	increase	NOUN
ejpam-6505	362	24	with	with	ADP
ejpam-6505	362	25	a	a	DET
ejpam-6505	362	26	decrease	decrease	NOUN
ejpam-6505	362	27	in	in	ADP
ejpam-6505	362	28	both	both	CCONJ
ejpam-6505	362	29	the	the	DET
ejpam-6505	362	30	thermal	thermal	ADJ
ejpam-6505	362	31	conductivity	conductivity	NOUN
ejpam-6505	362	32	ratio	ratio	NOUN
ejpam-6505	362	33	k	k	PROPN
ejpam-6505	362	34	and	and	CCONJ
ejpam-6505	362	35	the	the	DET
ejpam-6505	362	36	viscosity	viscosity	NOUN
ejpam-6505	362	37	ratio	ratio	NOUN
ejpam-6505	362	38	σ	σ	PROPN
ejpam-6505	362	39	.	.	PUNCT
ejpam-6505	363	1	a	a	DET
ejpam-6505	363	2	lower	low	ADJ
ejpam-6505	363	3	k	k	NOUN
ejpam-6505	363	4	(	(	PUNCT
ejpam-6505	363	5	e.g.	e.g.	ADV
ejpam-6505	363	6	,	,	PUNCT
ejpam-6505	363	7	droplet	droplet	ADJ
ejpam-6505	363	8	less	less	ADV
ejpam-6505	363	9	conductive	conductive	ADJ
ejpam-6505	363	10	than	than	ADP
ejpam-6505	363	11	the	the	DET
ejpam-6505	363	12	medium	medium	NOUN
ejpam-6505	363	13	,	,	PUNCT
ejpam-6505	363	14	or	or	CCONJ
ejpam-6505	363	15	medium	medium	NOUN
ejpam-6505	363	16	more	more	ADV
ejpam-6505	363	17	conductive	conductive	ADJ
ejpam-6505	363	18	than	than	ADP
ejpam-6505	363	19	the	the	DET
ejpam-6505	363	20	droplet	droplet	NOUN
ejpam-6505	363	21	)	)	PUNCT
ejpam-6505	363	22	can	can	AUX
ejpam-6505	363	23	lead	lead	VERB
ejpam-6505	363	24	to	to	PART
ejpam-6505	363	25	steeper	steeper	VERB
ejpam-6505	363	26	interfacial	interfacial	ADJ
ejpam-6505	363	27	temperature	temperature	NOUN
ejpam-6505	363	28	gradients	gradient	NOUN
ejpam-6505	363	29	,	,	PUNCT
ejpam-6505	363	30	enhancing	enhance	VERB
ejpam-6505	363	31	the	the	DET
ejpam-6505	363	32	marangoni	marangoni	ADJ
ejpam-6505	363	33	effect	effect	NOUN
ejpam-6505	363	34	.	.	PUNCT
ejpam-6505	364	1	a	a	DET
ejpam-6505	364	2	lower	low	ADJ
ejpam-6505	364	3	σ	σ	NOUN
ejpam-6505	364	4	(	(	PUNCT
ejpam-6505	364	5	droplet	droplet	ADJ
ejpam-6505	364	6	less	less	ADV
ejpam-6505	364	7	viscous	viscous	ADJ
ejpam-6505	364	8	than	than	ADP
ejpam-6505	364	9	the	the	DET
ejpam-6505	364	10	surrounding	surround	VERB
ejpam-6505	364	11	fluid	fluid	NOUN
ejpam-6505	364	12	)	)	PUNCT
ejpam-6505	364	13	allows	allow	VERB
ejpam-6505	364	14	for	for	ADP
ejpam-6505	364	15	more	more	ADV
ejpam-6505	364	16	strong	strong	ADJ
ejpam-6505	364	17	internal	internal	ADJ
ejpam-6505	364	18	circulation	circulation	NOUN
ejpam-6505	364	19	within	within	ADP
ejpam-6505	364	20	the	the	DET
ejpam-6505	364	21	droplet	droplet	NOUN
ejpam-6505	364	22	in	in	ADP
ejpam-6505	364	23	response	response	NOUN
ejpam-6505	364	24	to	to	ADP
ejpam-6505	364	25	surface	surface	NOUN
ejpam-6505	364	26	tension	tension	NOUN
ejpam-6505	364	27	gradients	gradient	NOUN
ejpam-6505	364	28	,	,	PUNCT
ejpam-6505	364	29	translating	translate	VERB
ejpam-6505	364	30	to	to	ADP
ejpam-6505	364	31	a	a	DET
ejpam-6505	364	32	higher	high	ADJ
ejpam-6505	364	33	translational	translational	ADJ
ejpam-6505	364	34	velocity	velocity	NOUN
ejpam-6505	364	35	[	[	X
ejpam-6505	364	36	6	6	NUM
ejpam-6505	364	37	,	,	PUNCT
ejpam-6505	364	38	37	37	NUM
ejpam-6505	364	39	]	]	PUNCT
ejpam-6505	364	40	.	.	PUNCT
ejpam-6505	365	1	stokes	stokes	PROPN
ejpam-6505	365	2	flow	flow	VERB
ejpam-6505	365	3	darcain	darcain	NOUN
ejpam-6505	365	4	flow	flow	NOUN
ejpam-6505	365	5	figure	figure	NOUN
ejpam-6505	365	6	15	15	NUM
ejpam-6505	365	7	:	:	PUNCT
ejpam-6505	365	8	normalized	normalize	VERB
ejpam-6505	365	9	photocapillary	photocapillary	ADJ
ejpam-6505	365	10	force	force	PROPN
ejpam-6505	365	11	f	f	PROPN
ejpam-6505	365	12	∗	∗	X
ejpam-6505	365	13	ph	ph	X
ejpam-6505	365	14	versus	versus	ADP
ejpam-6505	365	15	thermal	thermal	ADJ
ejpam-6505	365	16	conductivity	conductivity	NOUN
ejpam-6505	365	17	ratio	ratio	NOUN
ejpam-6505	365	18	k	k	PROPN
ejpam-6505	365	19	for	for	ADP
ejpam-6505	365	20	different	different	ADJ
ejpam-6505	365	21	values	value	NOUN
ejpam-6505	365	22	of	of	ADP
ejpam-6505	365	23	permeability	permeability	NOUN
ejpam-6505	365	24	parameter	parameter	NOUN
ejpam-6505	365	25	α	α	NOUN
ejpam-6505	365	26	at	at	ADP
ejpam-6505	365	27	specific	specific	ADJ
ejpam-6505	365	28	values	value	NOUN
ejpam-6505	365	29	of	of	ADP
ejpam-6505	365	30	viscosity	viscosity	NOUN
ejpam-6505	365	31	ratio	ratio	NOUN
ejpam-6505	365	32	σ	σ	PROPN
ejpam-6505	365	33	at	at	ADP
ejpam-6505	365	34	(	(	PUNCT
ejpam-6505	365	35	σ	σ	NOUN
ejpam-6505	365	36	=	=	SYM
ejpam-6505	365	37	0	0	NUM
ejpam-6505	365	38	,	,	PUNCT
ejpam-6505	365	39	σ	σ	PROPN
ejpam-6505	365	40	=	=	SYM
ejpam-6505	365	41	1	1	NUM
ejpam-6505	365	42	)	)	PUNCT
ejpam-6505	365	43	.	.	PUNCT
ejpam-6505	366	1	the	the	DET
ejpam-6505	366	2	non	non	ADJ
ejpam-6505	366	3	-	-	ADJ
ejpam-6505	366	4	dimensional	dimensional	ADJ
ejpam-6505	366	5	photocapillary	photocapillary	ADJ
ejpam-6505	366	6	force	force	NOUN
ejpam-6505	366	7	,	,	PUNCT
ejpam-6505	366	8	f	f	PROPN
ejpam-6505	366	9	∗	∗	NOUN
ejpam-6505	366	10	ph	ph	PROPN
ejpam-6505	366	11	,	,	PUNCT
ejpam-6505	366	12	is	be	AUX
ejpam-6505	366	13	examined	examine	VERB
ejpam-6505	366	14	in	in	ADP
ejpam-6505	366	15	figures	figure	NOUN
ejpam-6505	366	16	15	15	NUM
ejpam-6505	366	17	and	and	CCONJ
ejpam-6505	366	18	16	16	NUM
ejpam-6505	366	19	as	as	ADP
ejpam-6505	366	20	a	a	DET
ejpam-6505	366	21	function	function	NOUN
ejpam-6505	366	22	of	of	ADP
ejpam-6505	366	23	α	α	NOUN
ejpam-6505	366	24	for	for	ADP
ejpam-6505	366	25	different	different	ADJ
ejpam-6505	366	26	σ	σ	NOUN
ejpam-6505	366	27	and	and	CCONJ
ejpam-6505	366	28	k	k	PROPN
ejpam-6505	366	29	values	value	NOUN
ejpam-6505	366	30	,	,	PUNCT
ejpam-6505	366	31	respectively	respectively	ADV
ejpam-6505	366	32	.	.	PUNCT
ejpam-6505	367	1	for	for	ADP
ejpam-6505	367	2	(	(	PUNCT
ejpam-6505	367	3	α	α	X
ejpam-6505	367	4	<	<	X
ejpam-6505	367	5	1	1	NUM
ejpam-6505	367	6	)	)	PUNCT
ejpam-6505	367	7	,	,	PUNCT
ejpam-6505	367	8	f	f	PROPN
ejpam-6505	367	9	∗	∗	NOUN
ejpam-6505	367	10	ph	ph	PROPN
ejpam-6505	367	11	shows	show	VERB
ejpam-6505	367	12	no	no	DET
ejpam-6505	367	13	significant	significant	ADJ
ejpam-6505	367	14	variation	variation	NOUN
ejpam-6505	367	15	.	.	PUNCT
ejpam-6505	368	1	as	as	SCONJ
ejpam-6505	368	2	α	α	PROPN
ejpam-6505	368	3	increases	increase	VERB
ejpam-6505	368	4	into	into	ADP
ejpam-6505	368	5	the	the	DET
ejpam-6505	368	6	range	range	NOUN
ejpam-6505	368	7	(	(	PUNCT
ejpam-6505	368	8	1	1	NUM
ejpam-6505	368	9	<	<	X
ejpam-6505	368	10	α	α	X
ejpam-6505	368	11	<	<	X
ejpam-6505	368	12	100	100	NUM
ejpam-6505	368	13	)	)	PUNCT
ejpam-6505	368	14	,	,	PUNCT
ejpam-6505	368	15	f	f	PROPN
ejpam-6505	368	16	∗	∗	VERB
ejpam-6505	368	17	ph	ph	ADJ
ejpam-6505	368	18	increases	increase	NOUN
ejpam-6505	368	19	.	.	PUNCT
ejpam-6505	369	1	for	for	ADP
ejpam-6505	369	2	(	(	PUNCT
ejpam-6505	369	3	α	α	X
ejpam-6505	369	4	>	>	X
ejpam-6505	369	5	100	100	NUM
ejpam-6505	369	6	)	)	PUNCT
ejpam-6505	369	7	(	(	PUNCT
ejpam-6505	369	8	darcian	darcian	ADJ
ejpam-6505	369	9	regime	regime	NOUN
ejpam-6505	369	10	)	)	PUNCT
ejpam-6505	369	11	,	,	PUNCT
ejpam-6505	369	12	f	f	PROPN
ejpam-6505	369	13	∗	∗	NOUN
ejpam-6505	369	14	ph	ph	PROPN
ejpam-6505	369	15	tends	tend	NOUN
ejpam-6505	369	16	towards	towards	ADP
ejpam-6505	369	17	a	a	DET
ejpam-6505	369	18	constant	constant	ADJ
ejpam-6505	369	19	value	value	NOUN
ejpam-6505	369	20	.	.	PUNCT
ejpam-6505	370	1	this	this	DET
ejpam-6505	370	2	saturation	saturation	NOUN
ejpam-6505	370	3	suggests	suggest	VERB
ejpam-6505	370	4	that	that	SCONJ
ejpam-6505	370	5	the	the	DET
ejpam-6505	370	6	drag	drag	NOUN
ejpam-6505	370	7	exerted	exert	VERB
ejpam-6505	370	8	by	by	ADP
ejpam-6505	370	9	the	the	DET
ejpam-6505	370	10	dense	dense	ADJ
ejpam-6505	370	11	porous	porous	ADJ
ejpam-6505	370	12	medium	medium	NOUN
ejpam-6505	370	13	reaches	reach	VERB
ejpam-6505	370	14	a	a	DET
ejpam-6505	370	15	limit	limit	NOUN
ejpam-6505	370	16	determined	determine	VERB
ejpam-6505	370	17	by	by	ADP
ejpam-6505	370	18	the	the	DET
ejpam-6505	370	19	photocapillary	photocapillary	ADJ
ejpam-6505	370	20	driving	driving	NOUN
ejpam-6505	370	21	mechanism	mechanism	NOUN
ejpam-6505	370	22	.	.	PUNCT
ejpam-6505	371	1	figures	figure	NOUN
ejpam-6505	371	2	15	15	NUM
ejpam-6505	371	3	and	and	CCONJ
ejpam-6505	371	4	16	16	NUM
ejpam-6505	371	5	also	also	ADV
ejpam-6505	371	6	indicate	indicate	VERB
ejpam-6505	371	7	that	that	SCONJ
ejpam-6505	371	8	for	for	ADP
ejpam-6505	371	9	a	a	DET
ejpam-6505	371	10	given	give	VERB
ejpam-6505	371	11	α	α	NOUN
ejpam-6505	371	12	,	,	PUNCT
ejpam-6505	371	13	f	f	PROPN
ejpam-6505	371	14	∗	∗	NOUN
ejpam-6505	371	15	ph	ph	ADJ
ejpam-6505	371	16	increases	increase	NOUN
ejpam-6505	371	17	as	as	ADP
ejpam-6505	371	18	σ	σ	PROPN
ejpam-6505	371	19	or	or	CCONJ
ejpam-6505	371	20	k	k	PROPN
ejpam-6505	371	21	decreases	decrease	NOUN
ejpam-6505	371	22	.	.	PUNCT
ejpam-6505	372	1	a.	a.	PROPN
ejpam-6505	372	2	s.	s.	PROPN
ejpam-6505	372	3	aamer	aamer	PROPN
ejpam-6505	372	4	,	,	PUNCT
ejpam-6505	372	5	b.	b.	PROPN
ejpam-6505	372	6	a.	a.	PROPN
ejpam-6505	372	7	ahmed	ahmed	PROPN
ejpam-6505	372	8	,	,	PUNCT
ejpam-6505	372	9	s.	s.	PROPN
ejpam-6505	372	10	a.	a.	PROPN
ejpam-6505	372	11	mahrous	mahrous	PROPN
ejpam-6505	372	12	/	/	SYM
ejpam-6505	372	13	eur	eur	PROPN
ejpam-6505	372	14	.	.	PUNCT
ejpam-6505	373	1	j.	j.	PROPN
ejpam-6505	373	2	pure	pure	PROPN
ejpam-6505	373	3	appl	appl	PROPN
ejpam-6505	373	4	.	.	PROPN
ejpam-6505	373	5	math	math	PROPN
ejpam-6505	373	6	,	,	PUNCT
ejpam-6505	373	7	18	18	NUM
ejpam-6505	373	8	(	(	PUNCT
ejpam-6505	373	9	3	3	NUM
ejpam-6505	373	10	)	)	PUNCT
ejpam-6505	373	11	(	(	PUNCT
ejpam-6505	373	12	2025	2025	NUM
ejpam-6505	373	13	)	)	PUNCT
ejpam-6505	373	14	,	,	PUNCT
ejpam-6505	373	15	6505	6505	NUM
ejpam-6505	373	16	of	of	ADP
ejpam-6505	373	17	stokes	stokes	PROPN
ejpam-6505	373	18	flow	flow	NOUN
ejpam-6505	373	19	darcain	darcain	NOUN
ejpam-6505	373	20	flow	flow	NOUN
ejpam-6505	373	21	figure	figure	NOUN
ejpam-6505	373	22	16	16	NUM
ejpam-6505	373	23	:	:	PUNCT
ejpam-6505	373	24	normalized	normalize	VERB
ejpam-6505	373	25	photocapillary	photocapillary	ADJ
ejpam-6505	373	26	force	force	PROPN
ejpam-6505	373	27	f	f	PROPN
ejpam-6505	373	28	∗	∗	X
ejpam-6505	373	29	ph	ph	PROPN
ejpam-6505	373	30	versus	versus	ADP
ejpam-6505	373	31	permeability	permeability	NOUN
ejpam-6505	373	32	parameter	parameter	NOUN
ejpam-6505	373	33	α	α	NOUN
ejpam-6505	373	34	for	for	ADP
ejpam-6505	373	35	different	different	ADJ
ejpam-6505	373	36	values	value	NOUN
ejpam-6505	373	37	of	of	ADP
ejpam-6505	373	38	viscosity	viscosity	NOUN
ejpam-6505	373	39	ratio	ratio	NOUN
ejpam-6505	373	40	σ	σ	NOUN
ejpam-6505	373	41	at	at	ADP
ejpam-6505	373	42	specific	specific	ADJ
ejpam-6505	373	43	values	value	NOUN
ejpam-6505	373	44	thermal	thermal	ADJ
ejpam-6505	373	45	conductivity	conductivity	NOUN
ejpam-6505	373	46	ratio	ratio	NOUN
ejpam-6505	373	47	(	(	PUNCT
ejpam-6505	373	48	k	k	NOUN
ejpam-6505	373	49	=	=	NOUN
ejpam-6505	373	50	0.01	0.01	NUM
ejpam-6505	373	51	,	,	PUNCT
ejpam-6505	373	52	k	k	PROPN
ejpam-6505	373	53	=	=	NOUN
ejpam-6505	373	54	0.03	0.03	NUM
ejpam-6505	373	55	)	)	PUNCT
ejpam-6505	373	56	.	.	PUNCT
ejpam-6505	374	1	figure	figure	NOUN
ejpam-6505	374	2	17	17	NUM
ejpam-6505	374	3	:	:	PUNCT
ejpam-6505	374	4	normalized	normalize	VERB
ejpam-6505	374	5	photocapillary	photocapillary	ADJ
ejpam-6505	374	6	force	force	PROPN
ejpam-6505	374	7	f	f	PROPN
ejpam-6505	374	8	∗	∗	X
ejpam-6505	374	9	ph	ph	X
ejpam-6505	374	10	versus	versus	ADP
ejpam-6505	374	11	thermal	thermal	ADJ
ejpam-6505	374	12	conductivity	conductivity	NOUN
ejpam-6505	374	13	ratio	ratio	NOUN
ejpam-6505	374	14	k	k	PROPN
ejpam-6505	374	15	for	for	ADP
ejpam-6505	374	16	different	different	ADJ
ejpam-6505	374	17	values	value	NOUN
ejpam-6505	374	18	of	of	ADP
ejpam-6505	374	19	permeability	permeability	NOUN
ejpam-6505	374	20	parameter	parameter	NOUN
ejpam-6505	374	21	α	α	NOUN
ejpam-6505	374	22	at	at	ADP
ejpam-6505	374	23	specific	specific	ADJ
ejpam-6505	374	24	values	value	NOUN
ejpam-6505	374	25	of	of	ADP
ejpam-6505	374	26	viscosity	viscosity	NOUN
ejpam-6505	374	27	ratio	ratio	NOUN
ejpam-6505	374	28	σ	σ	PROPN
ejpam-6505	374	29	at	at	ADP
ejpam-6505	374	30	(	(	PUNCT
ejpam-6505	374	31	σ	σ	NOUN
ejpam-6505	374	32	=	=	SYM
ejpam-6505	374	33	1	1	NUM
ejpam-6505	374	34	,	,	PUNCT
ejpam-6505	374	35	σ	σ	NOUN
ejpam-6505	374	36	=	=	NOUN
ejpam-6505	374	37	10	10	NUM
ejpam-6505	374	38	)	)	PUNCT
ejpam-6505	374	39	.	.	PUNCT
ejpam-6505	375	1	a.	a.	PROPN
ejpam-6505	375	2	s.	s.	PROPN
ejpam-6505	375	3	aamer	aamer	PROPN
ejpam-6505	375	4	,	,	PUNCT
ejpam-6505	375	5	b.	b.	PROPN
ejpam-6505	375	6	a.	a.	PROPN
ejpam-6505	375	7	ahmed	ahmed	PROPN
ejpam-6505	375	8	,	,	PUNCT
ejpam-6505	375	9	s.	s.	PROPN
ejpam-6505	375	10	a.	a.	PROPN
ejpam-6505	375	11	mahrous	mahrous	PROPN
ejpam-6505	375	12	/	/	SYM
ejpam-6505	375	13	eur	eur	PROPN
ejpam-6505	375	14	.	.	PUNCT
ejpam-6505	376	1	j.	j.	PROPN
ejpam-6505	376	2	pure	pure	PROPN
ejpam-6505	376	3	appl	appl	PROPN
ejpam-6505	376	4	.	.	PROPN
ejpam-6505	376	5	math	math	PROPN
ejpam-6505	376	6	,	,	PUNCT
ejpam-6505	376	7	18	18	NUM
ejpam-6505	376	8	(	(	PUNCT
ejpam-6505	376	9	3	3	NUM
ejpam-6505	376	10	)	)	PUNCT
ejpam-6505	376	11	(	(	PUNCT
ejpam-6505	376	12	2025	2025	NUM
ejpam-6505	376	13	)	)	PUNCT
ejpam-6505	376	14	,	,	PUNCT
ejpam-6505	376	15	6505	6505	NUM
ejpam-6505	376	16	of	of	ADP
ejpam-6505	376	17	figure	figure	NOUN
ejpam-6505	376	18	18	18	NUM
ejpam-6505	376	19	:	:	PUNCT
ejpam-6505	376	20	normalized	normalize	VERB
ejpam-6505	376	21	photocapillary	photocapillary	ADJ
ejpam-6505	376	22	force	force	PROPN
ejpam-6505	376	23	f	f	PROPN
ejpam-6505	376	24	∗	∗	X
ejpam-6505	376	25	ph	ph	PROPN
ejpam-6505	376	26	versus	versus	ADP
ejpam-6505	376	27	viscosity	viscosity	NOUN
ejpam-6505	376	28	ratio	ratio	NOUN
ejpam-6505	376	29	σ	σ	PROPN
ejpam-6505	376	30	for	for	ADP
ejpam-6505	376	31	different	different	ADJ
ejpam-6505	376	32	values	value	NOUN
ejpam-6505	376	33	of	of	ADP
ejpam-6505	376	34	permeability	permeability	NOUN
ejpam-6505	376	35	parameter	parameter	NOUN
ejpam-6505	376	36	α	α	NOUN
ejpam-6505	376	37	at	at	ADP
ejpam-6505	376	38	specific	specific	ADJ
ejpam-6505	376	39	values	value	NOUN
ejpam-6505	376	40	of	of	ADP
ejpam-6505	376	41	thermal	thermal	ADJ
ejpam-6505	376	42	conductivity	conductivity	NOUN
ejpam-6505	376	43	ratio	ratio	NOUN
ejpam-6505	376	44	k	k	PROPN
ejpam-6505	377	1	at	at	ADP
ejpam-6505	377	2	(	(	PUNCT
ejpam-6505	377	3	k	k	X
ejpam-6505	377	4	=	=	NOUN
ejpam-6505	377	5	0.01	0.01	NUM
ejpam-6505	377	6	,	,	PUNCT
ejpam-6505	377	7	k	k	PROPN
ejpam-6505	377	8	=	=	NOUN
ejpam-6505	377	9	0.05	0.05	NUM
ejpam-6505	377	10	)	)	PUNCT
ejpam-6505	377	11	.	.	PUNCT
ejpam-6505	378	1	fig	fig	NOUN
ejpam-6505	378	2	.	.	PUNCT
ejpam-6505	379	1	17	17	NUM
ejpam-6505	379	2	illustrates	illustrate	VERB
ejpam-6505	379	3	the	the	DET
ejpam-6505	379	4	dependence	dependence	NOUN
ejpam-6505	379	5	of	of	ADP
ejpam-6505	379	6	the	the	DET
ejpam-6505	379	7	normalized	normalize	VERB
ejpam-6505	379	8	photocapillary	photocapillary	ADJ
ejpam-6505	379	9	force	force	PROPN
ejpam-6505	379	10	f	f	PROPN
ejpam-6505	379	11	∗	∗	NOUN
ejpam-6505	379	12	ph	ph	PROPN
ejpam-6505	379	13	on	on	ADP
ejpam-6505	379	14	the	the	DET
ejpam-6505	379	15	thermal	thermal	ADJ
ejpam-6505	379	16	conductivity	conductivity	NOUN
ejpam-6505	379	17	ratio	ratio	NOUN
ejpam-6505	379	18	k	k	PROPN
ejpam-6505	379	19	,	,	PUNCT
ejpam-6505	379	20	for	for	ADP
ejpam-6505	379	21	various	various	ADJ
ejpam-6505	379	22	combinations	combination	NOUN
ejpam-6505	379	23	of	of	ADP
ejpam-6505	379	24	viscosity	viscosity	NOUN
ejpam-6505	379	25	ratio	ratio	NOUN
ejpam-6505	379	26	σ	σ	PROPN
ejpam-6505	379	27	and	and	CCONJ
ejpam-6505	379	28	permeability	permeability	NOUN
ejpam-6505	379	29	parameter	parameter	NOUN
ejpam-6505	379	30	α	α	NOUN
ejpam-6505	379	31	.	.	PUNCT
ejpam-6505	380	1	a	a	DET
ejpam-6505	380	2	particularly	particularly	ADV
ejpam-6505	380	3	striking	striking	ADJ
ejpam-6505	380	4	finding	finding	NOUN
ejpam-6505	380	5	highlighted	highlight	VERB
ejpam-6505	380	6	by	by	ADP
ejpam-6505	380	7	this	this	DET
ejpam-6505	380	8	figure	figure	NOUN
ejpam-6505	380	9	is	be	AUX
ejpam-6505	380	10	the	the	DET
ejpam-6505	380	11	rapid	rapid	ADJ
ejpam-6505	380	12	decrease	decrease	NOUN
ejpam-6505	380	13	of	of	ADP
ejpam-6505	380	14	f	f	PROPN
ejpam-6505	380	15	∗	∗	NOUN
ejpam-6505	380	16	ph	ph	NOUN
ejpam-6505	380	17	towards	towards	ADP
ejpam-6505	380	18	zero	zero	NUM
ejpam-6505	380	19	within	within	ADP
ejpam-6505	380	20	a	a	DET
ejpam-6505	380	21	very	very	ADV
ejpam-6505	380	22	narrow	narrow	ADJ
ejpam-6505	380	23	range	range	NOUN
ejpam-6505	380	24	where	where	SCONJ
ejpam-6505	380	25	(	(	PUNCT
ejpam-6505	380	26	k	k	X
ejpam-6505	380	27	<	<	X
ejpam-6505	380	28	<	<	X
ejpam-6505	380	29	1	1	NUM
ejpam-6505	380	30	)	)	PUNCT
ejpam-6505	380	31	.	.	PUNCT
ejpam-6505	381	1	this	this	PRON
ejpam-6505	381	2	suggests	suggest	VERB
ejpam-6505	381	3	that	that	SCONJ
ejpam-6505	381	4	with	with	ADP
ejpam-6505	381	5	the	the	DET
ejpam-6505	381	6	droplet	droplet	ADJ
ejpam-6505	381	7	being	be	AUX
ejpam-6505	381	8	a	a	DET
ejpam-6505	381	9	considerably	considerably	ADV
ejpam-6505	381	10	less	less	ADV
ejpam-6505	381	11	efficient	efficient	ADJ
ejpam-6505	381	12	thermal	thermal	ADJ
ejpam-6505	381	13	conductor	conductor	NOUN
ejpam-6505	381	14	relative	relative	ADJ
ejpam-6505	381	15	to	to	ADP
ejpam-6505	381	16	the	the	DET
ejpam-6505	381	17	surrounding	surround	VERB
ejpam-6505	381	18	medium	medium	NOUN
ejpam-6505	381	19	(	(	PUNCT
ejpam-6505	381	20	k	k	X
ejpam-6505	381	21	<	<	X
ejpam-6505	381	22	<	<	X
ejpam-6505	381	23	1	1	NUM
ejpam-6505	381	24	)	)	PUNCT
ejpam-6505	381	25	,	,	PUNCT
ejpam-6505	381	26	the	the	DET
ejpam-6505	381	27	development	development	NOUN
ejpam-6505	381	28	and	and	CCONJ
ejpam-6505	381	29	sustenance	sustenance	NOUN
ejpam-6505	381	30	of	of	ADP
ejpam-6505	381	31	strong	strong	ADJ
ejpam-6505	381	32	interfacial	interfacial	ADJ
ejpam-6505	381	33	temperature	temperature	NOUN
ejpam-6505	381	34	gradients	gradient	NOUN
ejpam-6505	381	35	,	,	PUNCT
ejpam-6505	381	36	essential	essential	ADJ
ejpam-6505	381	37	for	for	ADP
ejpam-6505	381	38	the	the	DET
ejpam-6505	381	39	marangoni	marangoni	NOUN
ejpam-6505	381	40	effect	effect	NOUN
ejpam-6505	381	41	,	,	PUNCT
ejpam-6505	381	42	are	be	AUX
ejpam-6505	381	43	substantially	substantially	ADV
ejpam-6505	381	44	diminished	diminish	VERB
ejpam-6505	381	45	.	.	PUNCT
ejpam-6505	382	1	fig	fig	NOUN
ejpam-6505	382	2	.	.	PUNCT
ejpam-6505	383	1	18	18	NUM
ejpam-6505	383	2	provides	provide	VERB
ejpam-6505	383	3	a	a	DET
ejpam-6505	383	4	focused	focused	ADJ
ejpam-6505	383	5	examination	examination	NOUN
ejpam-6505	383	6	of	of	ADP
ejpam-6505	383	7	the	the	DET
ejpam-6505	383	8	normalized	normalize	VERB
ejpam-6505	383	9	photocapillary	photocapillary	ADJ
ejpam-6505	383	10	force	force	PROPN
ejpam-6505	383	11	f	f	PROPN
ejpam-6505	383	12	∗	∗	NOUN
ejpam-6505	383	13	ph	ph	PROPN
ejpam-6505	383	14	as	as	SCONJ
ejpam-6505	383	15	it	it	PRON
ejpam-6505	383	16	varies	vary	VERB
ejpam-6505	383	17	with	with	ADP
ejpam-6505	383	18	the	the	DET
ejpam-6505	383	19	viscosity	viscosity	NOUN
ejpam-6505	383	20	ratio	ratio	NOUN
ejpam-6505	383	21	σ	σ	PROPN
ejpam-6505	383	22	,	,	PUNCT
ejpam-6505	383	23	specifically	specifically	ADV
ejpam-6505	383	24	under	under	ADP
ejpam-6505	383	25	conditions	condition	NOUN
ejpam-6505	383	26	where	where	SCONJ
ejpam-6505	383	27	the	the	DET
ejpam-6505	383	28	thermal	thermal	ADJ
ejpam-6505	383	29	conductivity	conductivity	NOUN
ejpam-6505	383	30	ratio	ratio	NOUN
ejpam-6505	383	31	(	(	PUNCT
ejpam-6505	383	32	k	k	X
ejpam-6505	383	33	<	<	X
ejpam-6505	383	34	<	<	X
ejpam-6505	383	35	1	1	NUM
ejpam-6505	383	36	)	)	PUNCT
ejpam-6505	383	37	.	.	PUNCT
ejpam-6505	384	1	this	this	DET
ejpam-6505	384	2	condition	condition	NOUN
ejpam-6505	384	3	(	(	PUNCT
ejpam-6505	384	4	k	k	X
ejpam-6505	384	5	<	<	X
ejpam-6505	384	6	<	<	X
ejpam-6505	384	7	1	1	NUM
ejpam-6505	384	8	)	)	PUNCT
ejpam-6505	384	9	signifies	signify	VERB
ejpam-6505	384	10	that	that	SCONJ
ejpam-6505	384	11	the	the	DET
ejpam-6505	384	12	droplet	droplet	NOUN
ejpam-6505	384	13	is	be	AUX
ejpam-6505	384	14	substantially	substantially	ADV
ejpam-6505	384	15	less	less	ADV
ejpam-6505	384	16	thermally	thermally	ADV
ejpam-6505	384	17	conductive	conductive	ADJ
ejpam-6505	384	18	than	than	ADP
ejpam-6505	384	19	the	the	DET
ejpam-6505	384	20	surrounding	surround	VERB
ejpam-6505	384	21	medium	medium	NOUN
ejpam-6505	384	22	.	.	PUNCT
ejpam-6505	385	1	the	the	DET
ejpam-6505	385	2	figure	figure	NOUN
ejpam-6505	385	3	reveals	reveal	VERB
ejpam-6505	385	4	a	a	DET
ejpam-6505	385	5	critical	critical	ADJ
ejpam-6505	385	6	trend	trend	NOUN
ejpam-6505	385	7	:	:	PUNCT
ejpam-6505	385	8	f	f	PROPN
ejpam-6505	385	9	∗	∗	NOUN
ejpam-6505	385	10	ph	ph	PROPN
ejpam-6505	385	11	tends	tend	NOUN
ejpam-6505	385	12	towards	towards	ADP
ejpam-6505	385	13	zero	zero	NUM
ejpam-6505	385	14	as	as	SCONJ
ejpam-6505	385	15	the	the	DET
ejpam-6505	385	16	viscosity	viscosity	NOUN
ejpam-6505	385	17	ratio	ratio	NOUN
ejpam-6505	385	18	σ	σ	PROPN
ejpam-6505	385	19	becomes	become	VERB
ejpam-6505	385	20	large	large	ADJ
ejpam-6505	385	21	(	(	PUNCT
ejpam-6505	385	22	i.e.	i.e.	X
ejpam-6505	385	23	,	,	PUNCT
ejpam-6505	385	24	for	for	ADP
ejpam-6505	385	25	highly	highly	ADV
ejpam-6505	385	26	viscous	viscous	ADJ
ejpam-6505	385	27	droplets	droplet	NOUN
ejpam-6505	385	28	)	)	PUNCT
ejpam-6505	385	29	,	,	PUNCT
ejpam-6505	385	30	and	and	CCONJ
ejpam-6505	385	31	this	this	DET
ejpam-6505	385	32	behavior	behavior	NOUN
ejpam-6505	385	33	holds	hold	VERB
ejpam-6505	385	34	true	true	ADJ
ejpam-6505	385	35	across	across	ADP
ejpam-6505	385	36	the	the	DET
ejpam-6505	385	37	entire	entire	ADJ
ejpam-6505	385	38	investigated	investigate	VERB
ejpam-6505	385	39	range	range	NOUN
ejpam-6505	385	40	of	of	ADP
ejpam-6505	385	41	the	the	DET
ejpam-6505	385	42	permeability	permeability	NOUN
ejpam-6505	385	43	parameter	parameter	NOUN
ejpam-6505	385	44	α	α	NOUN
ejpam-6505	385	45	.	.	PUNCT
ejpam-6505	386	1	the	the	DET
ejpam-6505	386	2	physical	physical	ADJ
ejpam-6505	386	3	basis	basis	NOUN
ejpam-6505	386	4	for	for	ADP
ejpam-6505	386	5	this	this	PRON
ejpam-6505	386	6	is	be	AUX
ejpam-6505	386	7	quite	quite	ADV
ejpam-6505	386	8	direct	direct	ADJ
ejpam-6505	386	9	:	:	PUNCT
ejpam-6505	386	10	a	a	DET
ejpam-6505	386	11	droplet	droplet	NOUN
ejpam-6505	386	12	with	with	ADP
ejpam-6505	386	13	high	high	ADJ
ejpam-6505	386	14	internal	internal	ADJ
ejpam-6505	386	15	viscosity	viscosity	NOUN
ejpam-6505	386	16	offers	offer	VERB
ejpam-6505	386	17	significant	significant	ADJ
ejpam-6505	386	18	resistance	resistance	NOUN
ejpam-6505	386	19	to	to	ADP
ejpam-6505	386	20	the	the	DET
ejpam-6505	386	21	internal	internal	ADJ
ejpam-6505	386	22	fluid	fluid	ADJ
ejpam-6505	386	23	circulation	circulation	NOUN
ejpam-6505	386	24	that	that	PRON
ejpam-6505	386	25	is	be	AUX
ejpam-6505	386	26	essential	essential	ADJ
ejpam-6505	386	27	for	for	ADP
ejpam-6505	386	28	the	the	DET
ejpam-6505	386	29	marangoni	marangoni	ADJ
ejpam-6505	386	30	effect	effect	NOUN
ejpam-6505	386	31	.	.	PUNCT
ejpam-6505	387	1	these	these	DET
ejpam-6505	387	2	surface	surface	NOUN
ejpam-6505	387	3	-	-	PUNCT
ejpam-6505	387	4	tension	tension	NOUN
ejpam-6505	387	5	-	-	PUNCT
ejpam-6505	387	6	gradient	gradient	NOUN
ejpam-6505	387	7	-	-	PUNCT
ejpam-6505	387	8	driven	drive	VERB
ejpam-6505	387	9	internal	internal	ADJ
ejpam-6505	387	10	flows	flow	NOUN
ejpam-6505	387	11	are	be	AUX
ejpam-6505	387	12	strongly	strongly	ADV
ejpam-6505	387	13	damped	damp	VERB
ejpam-6505	387	14	by	by	ADP
ejpam-6505	387	15	high	high	ADJ
ejpam-6505	387	16	viscosity	viscosity	NOUN
ejpam-6505	387	17	,	,	PUNCT
ejpam-6505	387	18	consequently	consequently	ADV
ejpam-6505	387	19	suppressing	suppress	VERB
ejpam-6505	387	20	the	the	DET
ejpam-6505	387	21	propulsive	propulsive	ADJ
ejpam-6505	387	22	marangoni	marangoni	NOUN
ejpam-6505	387	23	stress	stress	NOUN
ejpam-6505	387	24	and	and	CCONJ
ejpam-6505	387	25	,	,	PUNCT
ejpam-6505	387	26	therefore	therefore	ADV
ejpam-6505	387	27	,	,	PUNCT
ejpam-6505	387	28	diminishing	diminish	VERB
ejpam-6505	387	29	any	any	DET
ejpam-6505	387	30	resultant	resultant	NOUN
ejpam-6505	387	31	photocapillary	photocapillary	ADJ
ejpam-6505	387	32	force	force	NOUN
ejpam-6505	387	33	.	.	PUNCT
ejpam-6505	388	1	a.	a.	PROPN
ejpam-6505	388	2	s.	s.	PROPN
ejpam-6505	388	3	aamer	aamer	PROPN
ejpam-6505	388	4	,	,	PUNCT
ejpam-6505	388	5	b.	b.	PROPN
ejpam-6505	388	6	a.	a.	PROPN
ejpam-6505	388	7	ahmed	ahmed	PROPN
ejpam-6505	388	8	,	,	PUNCT
ejpam-6505	388	9	s.	s.	PROPN
ejpam-6505	388	10	a.	a.	PROPN
ejpam-6505	388	11	mahrous	mahrous	PROPN
ejpam-6505	388	12	/	/	SYM
ejpam-6505	388	13	eur	eur	PROPN
ejpam-6505	388	14	.	.	PUNCT
ejpam-6505	389	1	j.	j.	PROPN
ejpam-6505	389	2	pure	pure	PROPN
ejpam-6505	389	3	appl	appl	PROPN
ejpam-6505	389	4	.	.	PROPN
ejpam-6505	389	5	math	math	PROPN
ejpam-6505	389	6	,	,	PUNCT
ejpam-6505	389	7	18	18	NUM
ejpam-6505	389	8	(	(	PUNCT
ejpam-6505	389	9	3	3	NUM
ejpam-6505	389	10	)	)	PUNCT
ejpam-6505	389	11	(	(	PUNCT
ejpam-6505	389	12	2025	2025	NUM
ejpam-6505	389	13	)	)	PUNCT
ejpam-6505	389	14	,	,	PUNCT
ejpam-6505	389	15	6505	6505	NUM
ejpam-6505	389	16	of	of	ADP
ejpam-6505	389	17	stokes	stokes	PROPN
ejpam-6505	389	18	flow	flow	PROPN
ejpam-6505	389	19	darcian	darcian	PROPN
ejpam-6505	389	20	flow	flow	NOUN
ejpam-6505	389	21	figure	figure	NOUN
ejpam-6505	389	22	19	19	NUM
ejpam-6505	389	23	:	:	PUNCT
ejpam-6505	389	24	u∗	u∗	ADJ
ejpam-6505	389	25	ph	ph	PROPN
ejpam-6505	389	26	/	/	SYM
ejpam-6505	389	27	u	u	NOUN
ejpam-6505	389	28	(	(	PUNCT
ejpam-6505	389	29	0	0	NUM
ejpam-6505	389	30	)	)	PUNCT
ejpam-6505	389	31	ph	ph	NOUN
ejpam-6505	389	32	versus	versus	ADP
ejpam-6505	389	33	permeability	permeability	NOUN
ejpam-6505	389	34	parameter	parameter	NOUN
ejpam-6505	389	35	α	α	NOUN
ejpam-6505	389	36	for	for	ADP
ejpam-6505	389	37	different	different	ADJ
ejpam-6505	389	38	values	value	NOUN
ejpam-6505	389	39	of	of	ADP
ejpam-6505	389	40	viscosity	viscosity	NOUN
ejpam-6505	389	41	ratio	ratio	NOUN
ejpam-6505	389	42	σ	σ	PROPN
ejpam-6505	389	43	.	.	PUNCT
ejpam-6505	389	44	figure	figure	NOUN
ejpam-6505	389	45	20	20	NUM
ejpam-6505	389	46	:	:	PUNCT
ejpam-6505	389	47	u∗	u∗	ADJ
ejpam-6505	389	48	ph	ph	PROPN
ejpam-6505	389	49	/	/	SYM
ejpam-6505	389	50	u	u	NOUN
ejpam-6505	389	51	(	(	PUNCT
ejpam-6505	389	52	0	0	NUM
ejpam-6505	389	53	)	)	PUNCT
ejpam-6505	389	54	ph	ph	NOUN
ejpam-6505	389	55	versus	versus	ADP
ejpam-6505	389	56	viscosity	viscosity	NOUN
ejpam-6505	389	57	ratio	ratio	NOUN
ejpam-6505	389	58	σ	σ	PROPN
ejpam-6505	389	59	for	for	ADP
ejpam-6505	389	60	different	different	ADJ
ejpam-6505	389	61	values	value	NOUN
ejpam-6505	389	62	of	of	ADP
ejpam-6505	389	63	permeability	permeability	NOUN
ejpam-6505	389	64	parameter	parameter	NOUN
ejpam-6505	389	65	α	α	PROPN
ejpam-6505	389	66	.	.	PUNCT
ejpam-6505	389	67	a.	a.	PROPN
ejpam-6505	389	68	s.	s.	PROPN
ejpam-6505	389	69	aamer	aamer	PROPN
ejpam-6505	389	70	,	,	PUNCT
ejpam-6505	389	71	b.	b.	PROPN
ejpam-6505	389	72	a.	a.	PROPN
ejpam-6505	389	73	ahmed	ahmed	PROPN
ejpam-6505	389	74	,	,	PUNCT
ejpam-6505	389	75	s.	s.	PROPN
ejpam-6505	389	76	a.	a.	PROPN
ejpam-6505	389	77	mahrous	mahrous	PROPN
ejpam-6505	389	78	/	/	SYM
ejpam-6505	389	79	eur	eur	PROPN
ejpam-6505	389	80	.	.	PUNCT
ejpam-6505	390	1	j.	j.	PROPN
ejpam-6505	390	2	pure	pure	PROPN
ejpam-6505	390	3	appl	appl	PROPN
ejpam-6505	390	4	.	.	PROPN
ejpam-6505	390	5	math	math	PROPN
ejpam-6505	390	6	,	,	PUNCT
ejpam-6505	390	7	18	18	NUM
ejpam-6505	390	8	(	(	PUNCT
ejpam-6505	390	9	3	3	NUM
ejpam-6505	390	10	)	)	PUNCT
ejpam-6505	390	11	(	(	PUNCT
ejpam-6505	390	12	2025	2025	NUM
ejpam-6505	390	13	)	)	PUNCT
ejpam-6505	390	14	,	,	PUNCT
ejpam-6505	390	15	6505	6505	NUM
ejpam-6505	390	16	of	of	ADP
ejpam-6505	390	17	the	the	DET
ejpam-6505	390	18	normalized	normalize	VERB
ejpam-6505	390	19	photocapillary	photocapillary	ADJ
ejpam-6505	390	20	velocity	velocity	NOUN
ejpam-6505	390	21	,	,	PUNCT
ejpam-6505	390	22	uph	uph	PROPN
ejpam-6505	390	23	/	/	SYM
ejpam-6505	390	24	u	u	PROPN
ejpam-6505	390	25	(	(	PUNCT
ejpam-6505	390	26	ph	ph	PROPN
ejpam-6505	390	27	)	)	PUNCT
ejpam-6505	390	28	0	0	NUM
ejpam-6505	390	29	,	,	PUNCT
ejpam-6505	390	30	where	where	SCONJ
ejpam-6505	390	31	u	u	NOUN
ejpam-6505	390	32	(	(	PUNCT
ejpam-6505	390	33	ph	ph	PROPN
ejpam-6505	390	34	)	)	PUNCT
ejpam-6505	390	35	0	0	NUM
ejpam-6505	390	36	is	be	AUX
ejpam-6505	390	37	the	the	DET
ejpam-6505	390	38	thermocapillary	thermocapillary	ADJ
ejpam-6505	390	39	velocity	velocity	NOUN
ejpam-6505	390	40	in	in	ADP
ejpam-6505	390	41	a	a	DET
ejpam-6505	390	42	clear	clear	ADJ
ejpam-6505	390	43	viscous	viscous	ADJ
ejpam-6505	390	44	fluid	fluid	NOUN
ejpam-6505	390	45	(	(	PUNCT
ejpam-6505	390	46	i.e.	i.e.	X
ejpam-6505	390	47	,	,	PUNCT
ejpam-6505	390	48	α	α	NOUN
ejpam-6505	390	49	=	=	NOUN
ejpam-6505	390	50	0	0	NUM
ejpam-6505	390	51	)	)	PUNCT
ejpam-6505	390	52	,	,	PUNCT
ejpam-6505	390	53	provides	provide	VERB
ejpam-6505	390	54	further	further	ADJ
ejpam-6505	390	55	insight	insight	NOUN
ejpam-6505	390	56	.	.	PUNCT
ejpam-6505	391	1	fig	fig	NOUN
ejpam-6505	391	2	.	.	PUNCT
ejpam-6505	392	1	19	19	NUM
ejpam-6505	392	2	plots	plot	NOUN
ejpam-6505	392	3	uph	uph	PROPN
ejpam-6505	392	4	/	/	SYM
ejpam-6505	392	5	u	u	PROPN
ejpam-6505	392	6	(	(	PUNCT
ejpam-6505	392	7	ph	ph	PROPN
ejpam-6505	392	8	)	)	PUNCT
ejpam-6505	392	9	0	0	NUM
ejpam-6505	392	10	against	against	ADP
ejpam-6505	392	11	the	the	DET
ejpam-6505	392	12	permeability	permeability	NOUN
ejpam-6505	392	13	parameter	parameter	NOUN
ejpam-6505	392	14	α	α	PROPN
ejpam-6505	392	15	for	for	ADP
ejpam-6505	392	16	various	various	ADJ
ejpam-6505	392	17	viscosity	viscosity	NOUN
ejpam-6505	392	18	ratios	ratio	NOUN
ejpam-6505	392	19	σ	σ	NOUN
ejpam-6505	392	20	.	.	PROPN
ejpam-6505	392	21	as	as	SCONJ
ejpam-6505	392	22	expected	expect	VERB
ejpam-6505	392	23	,	,	PUNCT
ejpam-6505	392	24	in	in	ADP
ejpam-6505	392	25	the	the	DET
ejpam-6505	392	26	limit	limit	NOUN
ejpam-6505	392	27	α	α	X
ejpam-6505	392	28	→	→	SYM
ejpam-6505	392	29	0	0	NUM
ejpam-6505	392	30	,	,	PUNCT
ejpam-6505	392	31	the	the	DET
ejpam-6505	392	32	ratio	ratio	NOUN
ejpam-6505	392	33	uph	uph	PROPN
ejpam-6505	392	34	/	/	SYM
ejpam-6505	392	35	u	u	PROPN
ejpam-6505	392	36	(	(	PUNCT
ejpam-6505	392	37	ph	ph	PROPN
ejpam-6505	392	38	)	)	PUNCT
ejpam-6505	392	39	0	0	NUM
ejpam-6505	392	40	approaches	approach	NOUN
ejpam-6505	392	41	1	1	NUM
ejpam-6505	392	42	,	,	PUNCT
ejpam-6505	392	43	recovering	recover	VERB
ejpam-6505	392	44	the	the	DET
ejpam-6505	392	45	clear	clear	ADJ
ejpam-6505	392	46	fluid	fluid	ADJ
ejpam-6505	392	47	behavior	behavior	NOUN
ejpam-6505	392	48	.	.	PUNCT
ejpam-6505	393	1	for	for	ADP
ejpam-6505	393	2	(	(	PUNCT
ejpam-6505	393	3	α	α	X
ejpam-6505	393	4	<	<	X
ejpam-6505	393	5	1	1	NUM
ejpam-6505	393	6	)	)	PUNCT
ejpam-6505	393	7	,	,	PUNCT
ejpam-6505	393	8	uph	uph	PROPN
ejpam-6505	393	9	/	/	SYM
ejpam-6505	393	10	u	u	PROPN
ejpam-6505	393	11	(	(	PUNCT
ejpam-6505	393	12	ph	ph	PROPN
ejpam-6505	393	13	)	)	PUNCT
ejpam-6505	393	14	0	0	NUM
ejpam-6505	393	15	remains	remain	VERB
ejpam-6505	393	16	approximately	approximately	ADV
ejpam-6505	393	17	1	1	NUM
ejpam-6505	393	18	across	across	ADP
ejpam-6505	393	19	the	the	DET
ejpam-6505	393	20	entire	entire	ADJ
ejpam-6505	393	21	range	range	NOUN
ejpam-6505	393	22	of	of	ADP
ejpam-6505	393	23	σ	σ	PROPN
ejpam-6505	393	24	,	,	PUNCT
ejpam-6505	393	25	confirming	confirm	VERB
ejpam-6505	393	26	the	the	DET
ejpam-6505	393	27	negligible	negligible	ADJ
ejpam-6505	393	28	impact	impact	NOUN
ejpam-6505	393	29	of	of	ADP
ejpam-6505	393	30	the	the	DET
ejpam-6505	393	31	porous	porous	ADJ
ejpam-6505	393	32	medium	medium	NOUN
ejpam-6505	393	33	in	in	ADP
ejpam-6505	393	34	this	this	DET
ejpam-6505	393	35	regime	regime	NOUN
ejpam-6505	393	36	.	.	PUNCT
ejpam-6505	394	1	this	this	DET
ejpam-6505	394	2	finding	finding	NOUN
ejpam-6505	394	3	aligns	align	VERB
ejpam-6505	394	4	with	with	ADP
ejpam-6505	394	5	studies	study	NOUN
ejpam-6505	394	6	showing	show	VERB
ejpam-6505	394	7	that	that	SCONJ
ejpam-6505	394	8	for	for	ADP
ejpam-6505	394	9	very	very	ADV
ejpam-6505	394	10	high	high	ADJ
ejpam-6505	394	11	permeabilities	permeability	NOUN
ejpam-6505	394	12	,	,	PUNCT
ejpam-6505	394	13	the	the	DET
ejpam-6505	394	14	brinkman	brinkman	PROPN
ejpam-6505	394	15	correction	correction	NOUN
ejpam-6505	394	16	to	to	ADP
ejpam-6505	394	17	darcy	darcy	PROPN
ejpam-6505	394	18	’s	’s	PART
ejpam-6505	394	19	law	law	NOUN
ejpam-6505	394	20	,	,	PUNCT
ejpam-6505	394	21	which	which	PRON
ejpam-6505	394	22	accounts	account	VERB
ejpam-6505	394	23	for	for	ADP
ejpam-6505	394	24	viscous	viscous	ADJ
ejpam-6505	394	25	shear	shear	NOUN
ejpam-6505	394	26	,	,	PUNCT
ejpam-6505	394	27	becomes	become	VERB
ejpam-6505	394	28	dominant	dominant	ADJ
ejpam-6505	394	29	and	and	CCONJ
ejpam-6505	394	30	approaches	approach	VERB
ejpam-6505	394	31	stokes	stoke	NOUN
ejpam-6505	394	32	flow	flow	NOUN
ejpam-6505	394	33	behavior	behavior	NOUN
ejpam-6505	394	34	[	[	X
ejpam-6505	394	35	28	28	NUM
ejpam-6505	394	36	]	]	PUNCT
ejpam-6505	394	37	.	.	PUNCT
ejpam-6505	395	1	consistent	consistent	ADJ
ejpam-6505	395	2	with	with	ADP
ejpam-6505	395	3	the	the	DET
ejpam-6505	395	4	trend	trend	NOUN
ejpam-6505	395	5	ofu∗	ofu∗	ADJ
ejpam-6505	395	6	ph	ph	VERB
ejpam-6505	395	7	,	,	PUNCT
ejpam-6505	395	8	fig	fig	NOUN
ejpam-6505	395	9	.	.	PUNCT
ejpam-6505	396	1	19	19	NUM
ejpam-6505	396	2	shows	show	VERB
ejpam-6505	396	3	a	a	DET
ejpam-6505	396	4	sharp	sharp	ADJ
ejpam-6505	396	5	decrease	decrease	NOUN
ejpam-6505	396	6	in	in	ADP
ejpam-6505	396	7	uph	uph	PROPN
ejpam-6505	396	8	/	/	SYM
ejpam-6505	396	9	u	u	PROPN
ejpam-6505	396	10	(	(	PUNCT
ejpam-6505	396	11	ph	ph	PROPN
ejpam-6505	396	12	)	)	PUNCT
ejpam-6505	396	13	0	0	PUNCT
ejpam-6505	396	14	for	for	ADP
ejpam-6505	396	15	(	(	PUNCT
ejpam-6505	396	16	1	1	NUM
ejpam-6505	396	17	<	<	X
ejpam-6505	396	18	α	α	X
ejpam-6505	396	19	<	<	X
ejpam-6505	396	20	100	100	NUM
ejpam-6505	396	21	)	)	PUNCT
ejpam-6505	396	22	,	,	PUNCT
ejpam-6505	396	23	eventually	eventually	ADV
ejpam-6505	396	24	tending	tend	VERB
ejpam-6505	396	25	to	to	ADP
ejpam-6505	396	26	zero	zero	NUM
ejpam-6505	396	27	for	for	ADP
ejpam-6505	396	28	(	(	PUNCT
ejpam-6505	396	29	α	α	X
ejpam-6505	396	30	>	>	X
ejpam-6505	396	31	100	100	NUM
ejpam-6505	396	32	)	)	PUNCT
ejpam-6505	396	33	,	,	PUNCT
ejpam-6505	396	34	highlighting	highlight	VERB
ejpam-6505	396	35	the	the	DET
ejpam-6505	396	36	progressive	progressive	ADJ
ejpam-6505	396	37	attenuation	attenuation	NOUN
ejpam-6505	396	38	of	of	ADP
ejpam-6505	396	39	motion	motion	NOUN
ejpam-6505	396	40	by	by	ADP
ejpam-6505	396	41	the	the	DET
ejpam-6505	396	42	porous	porous	ADJ
ejpam-6505	396	43	matrix	matrix	NOUN
ejpam-6505	396	44	.	.	PUNCT
ejpam-6505	397	1	for	for	ADP
ejpam-6505	397	2	a	a	DET
ejpam-6505	397	3	fixed	fixed	ADJ
ejpam-6505	397	4	α	α	NOUN
ejpam-6505	397	5	within	within	ADP
ejpam-6505	397	6	this	this	DET
ejpam-6505	397	7	transitional	transitional	ADJ
ejpam-6505	397	8	range	range	NOUN
ejpam-6505	397	9	(	(	PUNCT
ejpam-6505	397	10	1	1	NUM
ejpam-6505	397	11	<	<	X
ejpam-6505	397	12	α	α	X
ejpam-6505	397	13	<	<	X
ejpam-6505	397	14	100	100	NUM
ejpam-6505	397	15	)	)	PUNCT
ejpam-6505	397	16	,	,	PUNCT
ejpam-6505	397	17	uph	uph	PROPN
ejpam-6505	397	18	/	/	SYM
ejpam-6505	397	19	u	u	PROPN
ejpam-6505	397	20	(	(	PUNCT
ejpam-6505	397	21	ph	ph	PROPN
ejpam-6505	397	22	)	)	PUNCT
ejpam-6505	397	23	0	0	NUM
ejpam-6505	397	24	increases	increase	NOUN
ejpam-6505	397	25	as	as	ADP
ejpam-6505	397	26	σ	σ	NOUN
ejpam-6505	397	27	decreases	decrease	NOUN
ejpam-6505	397	28	.	.	PUNCT
ejpam-6505	398	1	this	this	PRON
ejpam-6505	398	2	implies	imply	VERB
ejpam-6505	398	3	that	that	SCONJ
ejpam-6505	398	4	droplets	droplet	NOUN
ejpam-6505	398	5	with	with	ADP
ejpam-6505	398	6	lower	low	ADJ
ejpam-6505	398	7	internal	internal	ADJ
ejpam-6505	398	8	viscosity	viscosity	NOUN
ejpam-6505	398	9	(	(	PUNCT
ejpam-6505	398	10	relative	relative	ADJ
ejpam-6505	398	11	to	to	ADP
ejpam-6505	398	12	the	the	DET
ejpam-6505	398	13	external	external	ADJ
ejpam-6505	398	14	fluid	fluid	NOUN
ejpam-6505	398	15	)	)	PUNCT
ejpam-6505	398	16	are	be	AUX
ejpam-6505	398	17	more	more	ADV
ejpam-6505	398	18	efficient	efficient	ADJ
ejpam-6505	398	19	at	at	ADP
ejpam-6505	398	20	converting	convert	VERB
ejpam-6505	398	21	marangoni	marangoni	NOUN
ejpam-6505	398	22	stresses	stress	NOUN
ejpam-6505	398	23	into	into	ADP
ejpam-6505	398	24	motion	motion	NOUN
ejpam-6505	398	25	,	,	PUNCT
ejpam-6505	398	26	even	even	ADV
ejpam-6505	398	27	when	when	SCONJ
ejpam-6505	398	28	normalized	normalize	VERB
ejpam-6505	398	29	against	against	ADP
ejpam-6505	398	30	their	their	PRON
ejpam-6505	398	31	clear	clear	ADJ
ejpam-6505	398	32	fluid	fluid	ADJ
ejpam-6505	398	33	velocity	velocity	NOUN
ejpam-6505	398	34	.	.	PUNCT
ejpam-6505	399	1	fig	fig	NOUN
ejpam-6505	399	2	.	.	PUNCT
ejpam-6505	400	1	20	20	NUM
ejpam-6505	400	2	plots	plot	NOUN
ejpam-6505	400	3	uph	uph	PROPN
ejpam-6505	400	4	/	/	SYM
ejpam-6505	400	5	u	u	PROPN
ejpam-6505	400	6	(	(	PUNCT
ejpam-6505	400	7	ph	ph	PROPN
ejpam-6505	400	8	)	)	PUNCT
ejpam-6505	400	9	0	0	NUM
ejpam-6505	400	10	against	against	ADP
ejpam-6505	400	11	the	the	DET
ejpam-6505	400	12	viscosity	viscosity	NOUN
ejpam-6505	400	13	ratio	ratio	NOUN
ejpam-6505	400	14	σ	σ	PROPN
ejpam-6505	400	15	for	for	ADP
ejpam-6505	400	16	various	various	ADJ
ejpam-6505	400	17	α	α	NOUN
ejpam-6505	400	18	,	,	PUNCT
ejpam-6505	400	19	corroborates	corroborate	VERB
ejpam-6505	400	20	these	these	DET
ejpam-6505	400	21	findings	finding	NOUN
ejpam-6505	400	22	,	,	PUNCT
ejpam-6505	400	23	illustrating	illustrate	VERB
ejpam-6505	400	24	a	a	DET
ejpam-6505	400	25	similar	similar	ADJ
ejpam-6505	400	26	behavioral	behavioral	ADJ
ejpam-6505	400	27	pattern	pattern	NOUN
ejpam-6505	400	28	to	to	ADP
ejpam-6505	400	29	fig	fig	VERB
ejpam-6505	400	30	.	.	PUNCT
ejpam-6505	401	1	19	19	NUM
ejpam-6505	401	2	:	:	PUNCT
ejpam-6505	401	3	increasing	increase	VERB
ejpam-6505	401	4	σ	σ	NOUN
ejpam-6505	401	5	(	(	PUNCT
ejpam-6505	401	6	more	more	ADV
ejpam-6505	401	7	viscous	viscous	ADJ
ejpam-6505	401	8	droplet	droplet	NOUN
ejpam-6505	401	9	)	)	PUNCT
ejpam-6505	401	10	generally	generally	ADV
ejpam-6505	401	11	increases	increase	VERB
ejpam-6505	401	12	the	the	DET
ejpam-6505	401	13	normalized	normalized	ADJ
ejpam-6505	401	14	velocity	velocity	NOUN
ejpam-6505	401	15	,	,	PUNCT
ejpam-6505	401	16	and	and	CCONJ
ejpam-6505	401	17	for	for	ADP
ejpam-6505	401	18	a	a	DET
ejpam-6505	401	19	fixed	fix	VERB
ejpam-6505	401	20	σ	σ	NOUN
ejpam-6505	401	21	,	,	PUNCT
ejpam-6505	401	22	the	the	DET
ejpam-6505	401	23	normalized	normalize	VERB
ejpam-6505	401	24	velocity	velocity	NOUN
ejpam-6505	401	25	reduces	reduce	VERB
ejpam-6505	401	26	as	as	SCONJ
ejpam-6505	401	27	this	this	DET
ejpam-6505	401	28	reduction	reduction	NOUN
ejpam-6505	401	29	is	be	AUX
ejpam-6505	401	30	more	more	ADV
ejpam-6505	401	31	pronounced	pronounce	VERB
ejpam-6505	401	32	at	at	ADP
ejpam-6505	401	33	higher	high	ADJ
ejpam-6505	401	34	α	α	NOUN
ejpam-6505	401	35	values	value	NOUN
ejpam-6505	401	36	where	where	SCONJ
ejpam-6505	401	37	the	the	DET
ejpam-6505	401	38	porous	porous	ADJ
ejpam-6505	401	39	medium	medium	NOUN
ejpam-6505	401	40	’s	’s	PART
ejpam-6505	401	41	influence	influence	NOUN
ejpam-6505	401	42	is	be	AUX
ejpam-6505	401	43	stronger	strong	ADJ
ejpam-6505	401	44	.	.	PUNCT
ejpam-6505	402	1	a.	a.	PROPN
ejpam-6505	402	2	s.	s.	PROPN
ejpam-6505	402	3	aamer	aamer	PROPN
ejpam-6505	402	4	,	,	PUNCT
ejpam-6505	402	5	b.	b.	PROPN
ejpam-6505	402	6	a.	a.	PROPN
ejpam-6505	402	7	ahmed	ahmed	PROPN
ejpam-6505	402	8	,	,	PUNCT
ejpam-6505	402	9	s.	s.	PROPN
ejpam-6505	402	10	a.	a.	PROPN
ejpam-6505	402	11	mahrous	mahrous	PROPN
ejpam-6505	402	12	/	/	SYM
ejpam-6505	402	13	eur	eur	PROPN
ejpam-6505	402	14	.	.	PUNCT
ejpam-6505	403	1	j.	j.	PROPN
ejpam-6505	403	2	pure	pure	PROPN
ejpam-6505	403	3	appl	appl	PROPN
ejpam-6505	403	4	.	.	PROPN
ejpam-6505	403	5	math	math	PROPN
ejpam-6505	403	6	,	,	PUNCT
ejpam-6505	403	7	18	18	NUM
ejpam-6505	403	8	(	(	PUNCT
ejpam-6505	403	9	3	3	NUM
ejpam-6505	403	10	)	)	PUNCT
ejpam-6505	403	11	(	(	PUNCT
ejpam-6505	403	12	2025	2025	NUM
ejpam-6505	403	13	)	)	PUNCT
ejpam-6505	403	14	,	,	PUNCT
ejpam-6505	403	15	6505	6505	NUM
ejpam-6505	403	16	of	of	ADP
ejpam-6505	403	17	(	(	PUNCT
ejpam-6505	403	18	a	a	NOUN
ejpam-6505	403	19	)	)	PUNCT
ejpam-6505	403	20	(	(	PUNCT
ejpam-6505	403	21	b	b	X
ejpam-6505	403	22	)	)	PUNCT
ejpam-6505	403	23	(	(	PUNCT
ejpam-6505	403	24	c	c	X
ejpam-6505	403	25	)	)	PUNCT
ejpam-6505	403	26	(	(	PUNCT
ejpam-6505	403	27	d	d	X
ejpam-6505	403	28	)	)	PUNCT
ejpam-6505	403	29	figure	figure	NOUN
ejpam-6505	403	30	21	21	NUM
ejpam-6505	403	31	:	:	PUNCT
ejpam-6505	403	32	the	the	DET
ejpam-6505	403	33	streamline	streamline	ADJ
ejpam-6505	403	34	function	function	NOUN
ejpam-6505	403	35	is	be	AUX
ejpam-6505	403	36	scaled	scale	VERB
ejpam-6505	403	37	with	with	ADP
ejpam-6505	403	38	respect	respect	NOUN
ejpam-6505	403	39	to	to	ADP
ejpam-6505	403	40	ua2	ua2	PROPN
ejpam-6505	403	41	for	for	ADP
ejpam-6505	403	42	translational	translational	ADJ
ejpam-6505	403	43	motion	motion	NOUN
ejpam-6505	403	44	:	:	PUNCT
ejpam-6505	403	45	ψ̃(i)/ua2	ψ̃(i)/ua2	PROPN
ejpam-6505	403	46	=	=	PROPN
ejpam-6505	403	47	c2	c2	PROPN
ejpam-6505	403	48	,	,	PUNCT
ejpam-6505	403	49	i	i	NOUN
ejpam-6505	403	50	=	=	SYM
ejpam-6505	404	1	d	d	PROPN
ejpam-6505	404	2	,	,	PUNCT
ejpam-6505	404	3	p	p	X
ejpam-6505	404	4	,	,	PUNCT
ejpam-6505	404	5	where	where	SCONJ
ejpam-6505	404	6	c2	c2	PROPN
ejpam-6505	404	7	is	be	AUX
ejpam-6505	404	8	a	a	DET
ejpam-6505	404	9	constant	constant	ADJ
ejpam-6505	404	10	.	.	PUNCT
ejpam-6505	405	1	each	each	DET
ejpam-6505	405	2	contour	contour	NOUN
ejpam-6505	405	3	is	be	AUX
ejpam-6505	405	4	found	find	VERB
ejpam-6505	405	5	by	by	ADP
ejpam-6505	405	6	assigning	assign	VERB
ejpam-6505	405	7	a	a	DET
ejpam-6505	405	8	specific	specific	ADJ
ejpam-6505	405	9	value	value	NOUN
ejpam-6505	405	10	to	to	ADP
ejpam-6505	405	11	the	the	DET
ejpam-6505	405	12	constant	constant	ADJ
ejpam-6505	405	13	c2	c2	PROPN
ejpam-6505	405	14	,	,	PUNCT
ejpam-6505	405	15	with	with	ADP
ejpam-6505	405	16	(	(	PUNCT
ejpam-6505	405	17	a	a	X
ejpam-6505	405	18	)	)	PUNCT
ejpam-6505	405	19	α	α	PROPN
ejpam-6505	405	20	→	→	SYM
ejpam-6505	405	21	0	0	NUM
ejpam-6505	405	22	,	,	PUNCT
ejpam-6505	405	23	σ	σ	NOUN
ejpam-6505	405	24	=	=	SYM
ejpam-6505	405	25	0.5	0.5	NUM
ejpam-6505	405	26	,	,	PUNCT
ejpam-6505	405	27	k	k	NOUN
ejpam-6505	405	28	=	=	SYM
ejpam-6505	405	29	1	1	NUM
ejpam-6505	405	30	,	,	PUNCT
ejpam-6505	405	31	(	(	PUNCT
ejpam-6505	405	32	b	b	X
ejpam-6505	405	33	)	)	PUNCT
ejpam-6505	405	34	α	α	NOUN
ejpam-6505	405	35	=	=	SYM
ejpam-6505	405	36	5	5	NUM
ejpam-6505	405	37	,	,	PUNCT
ejpam-6505	405	38	σ	σ	NOUN
ejpam-6505	405	39	=	=	SYM
ejpam-6505	405	40	1	1	NUM
ejpam-6505	405	41	,	,	PUNCT
ejpam-6505	405	42	k	k	X
ejpam-6505	405	43	=	=	PUNCT
ejpam-6505	405	44	0.155	0.155	NUM
ejpam-6505	405	45	,	,	PUNCT
ejpam-6505	405	46	(	(	PUNCT
ejpam-6505	405	47	c	c	X
ejpam-6505	405	48	)	)	PUNCT
ejpam-6505	405	49	α→	α→	PROPN
ejpam-6505	405	50	∞	∞	PROPN
ejpam-6505	405	51	,	,	PUNCT
ejpam-6505	405	52	σ	σ	NOUN
ejpam-6505	405	53	=	=	SYM
ejpam-6505	405	54	0.5	0.5	NUM
ejpam-6505	405	55	,	,	PUNCT
ejpam-6505	405	56	k	k	NOUN
ejpam-6505	405	57	=	=	NOUN
ejpam-6505	405	58	0.01	0.01	NUM
ejpam-6505	405	59	,	,	PUNCT
ejpam-6505	405	60	(	(	PUNCT
ejpam-6505	405	61	d	d	X
ejpam-6505	405	62	)	)	PUNCT
ejpam-6505	405	63	α→	α→	PROPN
ejpam-6505	405	64	0	0	NUM
ejpam-6505	405	65	,	,	PUNCT
ejpam-6505	405	66	σ	σ	PROPN
ejpam-6505	405	67	→	→	SYM
ejpam-6505	405	68	∞	∞	PROPN
ejpam-6505	405	69	,	,	PUNCT
ejpam-6505	405	70	k	k	PROPN
ejpam-6505	405	71	=	=	SYM
ejpam-6505	405	72	2	2	NUM
ejpam-6505	405	73	(	(	PUNCT
ejpam-6505	405	74	solid	solid	ADJ
ejpam-6505	405	75	particle	particle	NOUN
ejpam-6505	405	76	)	)	PUNCT
ejpam-6505	405	77	.	.	PUNCT
ejpam-6505	406	1	fig	fig	NOUN
ejpam-6505	406	2	.	.	PUNCT
ejpam-6505	407	1	21	21	NUM
ejpam-6505	407	2	similar	similar	ADJ
ejpam-6505	407	3	to	to	ADP
ejpam-6505	407	4	fig	fig	NOUN
ejpam-6505	407	5	.	.	PUNCT
ejpam-6505	408	1	12	12	NUM
ejpam-6505	408	2	shows	show	VERB
ejpam-6505	408	3	the	the	DET
ejpam-6505	408	4	streamlines	streamline	NOUN
ejpam-6505	408	5	within	within	ADP
ejpam-6505	408	6	the	the	DET
ejpam-6505	408	7	two	two	NUM
ejpam-6505	408	8	regions	region	NOUN
ejpam-6505	408	9	(	(	PUNCT
ejpam-6505	408	10	r	r	NOUN
ejpam-6505	408	11	>	>	X
ejpam-6505	408	12	a	a	NOUN
ejpam-6505	408	13	)	)	PUNCT
ejpam-6505	408	14	and	and	CCONJ
ejpam-6505	408	15	(	(	PUNCT
ejpam-6505	408	16	r	r	NOUN
ejpam-6505	408	17	<	<	X
ejpam-6505	408	18	a	a	NOUN
ejpam-6505	408	19	)	)	PUNCT
ejpam-6505	408	20	.	.	PUNCT
ejpam-6505	409	1	again	again	ADV
ejpam-6505	409	2	,	,	PUNCT
ejpam-6505	409	3	the	the	DET
ejpam-6505	409	4	(	(	PUNCT
ejpam-6505	409	5	a	a	NOUN
ejpam-6505	409	6	)	)	PUNCT
ejpam-6505	409	7	,	,	PUNCT
ejpam-6505	409	8	(	(	PUNCT
ejpam-6505	409	9	b	b	X
ejpam-6505	409	10	)	)	PUNCT
ejpam-6505	409	11	and	and	CCONJ
ejpam-6505	409	12	(	(	PUNCT
ejpam-6505	409	13	c	c	NOUN
ejpam-6505	409	14	)	)	PUNCT
ejpam-6505	409	15	figures	figure	NOUN
ejpam-6505	409	16	show	show	VERB
ejpam-6505	409	17	the	the	DET
ejpam-6505	409	18	effects	effect	NOUN
ejpam-6505	409	19	of	of	ADP
ejpam-6505	409	20	the	the	DET
ejpam-6505	409	21	porosity	porosity	NOUN
ejpam-6505	409	22	parameter	parameter	NOUN
ejpam-6505	409	23	α	α	NOUN
ejpam-6505	409	24	,	,	PUNCT
ejpam-6505	409	25	the	the	DET
ejpam-6505	409	26	viscosity	viscosity	NOUN
ejpam-6505	409	27	ratio	ratio	NOUN
ejpam-6505	409	28	σ	σ	PROPN
ejpam-6505	409	29	and	and	CCONJ
ejpam-6505	409	30	the	the	DET
ejpam-6505	409	31	conductivity	conductivity	NOUN
ejpam-6505	409	32	ratio	ratio	NOUN
ejpam-6505	409	33	k	k	PROPN
ejpam-6505	409	34	,	,	PUNCT
ejpam-6505	409	35	and	and	CCONJ
ejpam-6505	409	36	the	the	DET
ejpam-6505	409	37	solid	solid	ADJ
ejpam-6505	409	38	particle	particle	NOUN
ejpam-6505	409	39	case	case	NOUN
ejpam-6505	409	40	is	be	AUX
ejpam-6505	409	41	shown	show	VERB
ejpam-6505	409	42	in	in	ADP
ejpam-6505	409	43	figure	figure	NOUN
ejpam-6505	409	44	(	(	PUNCT
ejpam-6505	409	45	d	d	NOUN
ejpam-6505	409	46	)	)	PUNCT
ejpam-6505	409	47	.	.	PUNCT
ejpam-6505	410	1	a.	a.	PROPN
ejpam-6505	410	2	s.	s.	PROPN
ejpam-6505	410	3	aamer	aamer	PROPN
ejpam-6505	410	4	,	,	PUNCT
ejpam-6505	410	5	b.	b.	PROPN
ejpam-6505	410	6	a.	a.	PROPN
ejpam-6505	410	7	ahmed	ahmed	PROPN
ejpam-6505	410	8	,	,	PUNCT
ejpam-6505	410	9	s.	s.	PROPN
ejpam-6505	410	10	a.	a.	PROPN
ejpam-6505	410	11	mahrous	mahrous	PROPN
ejpam-6505	410	12	/	/	SYM
ejpam-6505	410	13	eur	eur	PROPN
ejpam-6505	410	14	.	.	PUNCT
ejpam-6505	411	1	j.	j.	PROPN
ejpam-6505	411	2	pure	pure	PROPN
ejpam-6505	411	3	appl	appl	PROPN
ejpam-6505	411	4	.	.	PROPN
ejpam-6505	411	5	math	math	PROPN
ejpam-6505	411	6	,	,	PUNCT
ejpam-6505	411	7	18	18	NUM
ejpam-6505	411	8	(	(	PUNCT
ejpam-6505	411	9	3	3	NUM
ejpam-6505	411	10	)	)	PUNCT
ejpam-6505	411	11	(	(	PUNCT
ejpam-6505	411	12	2025	2025	NUM
ejpam-6505	411	13	)	)	PUNCT
ejpam-6505	411	14	,	,	PUNCT
ejpam-6505	411	15	6505	6505	NUM
ejpam-6505	411	16	of	of	ADP
ejpam-6505	411	17	table	table	NOUN
ejpam-6505	411	18	1	1	NUM
ejpam-6505	411	19	:	:	PUNCT
ejpam-6505	411	20	comparison	comparison	NOUN
ejpam-6505	411	21	between	between	ADP
ejpam-6505	411	22	normalized	normalize	VERB
ejpam-6505	411	23	thermocapillary	thermocapillary	ADJ
ejpam-6505	411	24	velocity	velocity	NOUN
ejpam-6505	411	25	u∗	u∗	NOUN
ejpam-6505	411	26	t	t	PROPN
ejpam-6505	411	27	and	and	CCONJ
ejpam-6505	411	28	normalized	normalize	VERB
ejpam-6505	411	29	photocapillary	photocapillary	ADJ
ejpam-6505	411	30	velocity	velocity	NOUN
ejpam-6505	411	31	u∗	u∗	NOUN
ejpam-6505	411	32	ph	ph	NOUN
ejpam-6505	411	33	versus	versus	ADP
ejpam-6505	411	34	thermal	thermal	ADJ
ejpam-6505	411	35	conductivity	conductivity	NOUN
ejpam-6505	411	36	ratio	ratio	NOUN
ejpam-6505	411	37	k	k	PROPN
ejpam-6505	411	38	,	,	PUNCT
ejpam-6505	411	39	for	for	ADP
ejpam-6505	411	40	different	different	ADJ
ejpam-6505	411	41	values	value	NOUN
ejpam-6505	411	42	of	of	ADP
ejpam-6505	411	43	permeability	permeability	NOUN
ejpam-6505	411	44	parameter	parameter	NOUN
ejpam-6505	411	45	α	α	NOUN
ejpam-6505	411	46	,	,	PUNCT
ejpam-6505	411	47	at	at	ADP
ejpam-6505	411	48	σ	σ	PROPN
ejpam-6505	411	49	=	=	SYM
ejpam-6505	411	50	1	1	NUM
ejpam-6505	411	51	.	.	PUNCT
ejpam-6505	412	1	α	α	PROPN
ejpam-6505	413	1	k	k	PROPN
ejpam-6505	413	2	u∗	u∗	PROPN
ejpam-6505	413	3	t	t	PROPN
ejpam-6505	413	4	u∗	u∗	NOUN
ejpam-6505	413	5	ph	ph	PROPN
ejpam-6505	413	6	α	α	NOUN
ejpam-6505	413	7	=	=	SYM
ejpam-6505	413	8	2	2	NUM
ejpam-6505	413	9	0.5	0.5	NUM
ejpam-6505	413	10	0.129341317	0.129341317	NUM
ejpam-6505	413	11	0.086227545	0.086227545	NUM
ejpam-6505	413	12	1	1	NUM
ejpam-6505	413	13	0.107784431	0.107784431	NUM
ejpam-6505	413	14	0.035928144	0.035928144	NUM
ejpam-6505	413	15	1.5	1.5	NUM
ejpam-6505	413	16	0.092386655	0.092386655	NUM
ejpam-6505	413	17	0.020530368	0.020530368	NUM
ejpam-6505	413	18	2	2	NUM
ejpam-6505	413	19	0.080838323	0.080838323	NUM
ejpam-6505	413	20	0.013473054	0.013473054	NUM
ejpam-6505	413	21	2.5	2.5	NUM
ejpam-6505	413	22	0.071856287	0.071856287	NUM
ejpam-6505	413	23	0.009580838	0.009580838	NUM
ejpam-6505	413	24	3	3	NUM
ejpam-6505	413	25	0.064670659	0.064670659	NUM
ejpam-6505	413	26	0.007185629	0.007185629	NUM
ejpam-6505	413	27	3.5	3.5	NUM
ejpam-6505	413	28	0.058791508	0.058791508	NUM
ejpam-6505	413	29	0.005599191	0.005599191	NUM
ejpam-6505	413	30	4	4	NUM
ejpam-6505	413	31	0.053892216	0.053892216	NUM
ejpam-6505	413	32	0.004491018	0.004491018	NUM
ejpam-6505	413	33	4.5	4.5	NUM
ejpam-6505	413	34	0.049746661	0.049746661	NUM
ejpam-6505	413	35	0.003684938	0.003684938	NUM
ejpam-6505	413	36	5	5	NUM
ejpam-6505	413	37	0.046193328	0.046193328	NUM
ejpam-6505	413	38	0.003079555	0.003079555	NUM
ejpam-6505	413	39	α	α	NOUN
ejpam-6505	413	40	=	=	SYM
ejpam-6505	413	41	10	10	NUM
ejpam-6505	413	42	0.5	0.5	NUM
ejpam-6505	413	43	0.037804296	0.037804296	NUM
ejpam-6505	413	44	0.025202864	0.025202864	NUM
ejpam-6505	413	45	1	1	NUM
ejpam-6505	413	46	0.03150358	0.03150358	NUM
ejpam-6505	413	47	0.010501193	0.010501193	NUM
ejpam-6505	413	48	1.5	1.5	NUM
ejpam-6505	413	49	0.027003069	0.027003069	NUM
ejpam-6505	413	50	0.006000682	0.006000682	NUM
ejpam-6505	413	51	2	2	NUM
ejpam-6505	413	52	0.023627685	0.023627685	NUM
ejpam-6505	413	53	0.003937947	0.003937947	NUM
ejpam-6505	413	54	2.5	2.5	NUM
ejpam-6505	413	55	0.021002387	0.021002387	NUM
ejpam-6505	413	56	0.002800318	0.002800318	NUM
ejpam-6505	413	57	3	3	NUM
ejpam-6505	413	58	0.018902148	0.018902148	NUM
ejpam-6505	413	59	0.002100239	0.002100239	NUM
ejpam-6505	413	60	3.5	3.5	NUM
ejpam-6505	413	61	0.017183771	0.017183771	NUM
ejpam-6505	413	62	0.00163655	0.00163655	NUM
ejpam-6505	413	63	4	4	NUM
ejpam-6505	413	64	0.01575179	0.01575179	NUM
ejpam-6505	413	65	0.001312649	0.001312649	NUM
ejpam-6505	413	66	4.5	4.5	NUM
ejpam-6505	413	67	0.014540114	0.014540114	NUM
ejpam-6505	413	68	0.001077045	0.001077045	NUM
ejpam-6505	413	69	5	5	NUM
ejpam-6505	413	70	0.013501534	0.013501534	NUM
ejpam-6505	413	71	0.000900102	0.000900102	NUM
ejpam-6505	413	72	α→	α→	NUM
ejpam-6505	413	73	∞	∞	NUM
ejpam-6505	413	74	0.5	0.5	NUM
ejpam-6505	413	75	0.000683109	0.000683109	NUM
ejpam-6505	413	76	0.000455406	0.000455406	NUM
ejpam-6505	413	77	1	1	NUM
ejpam-6505	413	78	0.000569257	0.000569257	NUM
ejpam-6505	413	79	0.000189752	0.000189752	NUM
ejpam-6505	413	80	1.5	1.5	NUM
ejpam-6505	413	81	0.000487935	0.000487935	NUM
ejpam-6505	413	82	0.00010843	0.00010843	NUM
ejpam-6505	413	83	2	2	NUM
ejpam-6505	413	84	0.000426943	0.000426943	NUM
ejpam-6505	413	85	7.11572e-05	7.11572e-05	NUM
ejpam-6505	413	86	2.5	2.5	NUM
ejpam-6505	413	87	0.000379505	0.000379505	NUM
ejpam-6505	413	88	5.06006e-05	5.06006e-05	NUM
ejpam-6505	413	89	3	3	NUM
ejpam-6505	413	90	0.000341554	0.000341554	NUM
ejpam-6505	413	91	3.79505e-05	3.79505e-05	NUM
ejpam-6505	413	92	3.5	3.5	NUM
ejpam-6505	413	93	0.000310504	0.000310504	NUM
ejpam-6505	413	94	2.95718e-05	2.95718e-05	NUM
ejpam-6505	413	95	4	4	NUM
ejpam-6505	413	96	0.000284629	0.000284629	NUM
ejpam-6505	413	97	2.37191e-05	2.37191e-05	NUM
ejpam-6505	413	98	4.5	4.5	NUM
ejpam-6505	413	99	0.000262734	0.000262734	NUM
ejpam-6505	413	100	1.94618e-05	1.94618e-05	NUM
ejpam-6505	413	101	5	5	NUM
ejpam-6505	413	102	0.000243967	0.000243967	NUM
ejpam-6505	413	103	1.62645e-05	1.62645e-05	NUM
ejpam-6505	413	104	a.	a.	NOUN
ejpam-6505	413	105	s.	s.	PROPN
ejpam-6505	413	106	aamer	aamer	PROPN
ejpam-6505	413	107	,	,	PUNCT
ejpam-6505	413	108	b.	b.	PROPN
ejpam-6505	413	109	a.	a.	PROPN
ejpam-6505	413	110	ahmed	ahmed	PROPN
ejpam-6505	413	111	,	,	PUNCT
ejpam-6505	413	112	s.	s.	PROPN
ejpam-6505	413	113	a.	a.	PROPN
ejpam-6505	413	114	mahrous	mahrous	PROPN
ejpam-6505	413	115	/	/	SYM
ejpam-6505	413	116	eur	eur	PROPN
ejpam-6505	413	117	.	.	PUNCT
ejpam-6505	414	1	j.	j.	PROPN
ejpam-6505	414	2	pure	pure	PROPN
ejpam-6505	414	3	appl	appl	PROPN
ejpam-6505	414	4	.	.	PROPN
ejpam-6505	414	5	math	math	PROPN
ejpam-6505	414	6	,	,	PUNCT
ejpam-6505	414	7	18	18	NUM
ejpam-6505	414	8	(	(	PUNCT
ejpam-6505	414	9	3	3	NUM
ejpam-6505	414	10	)	)	PUNCT
ejpam-6505	414	11	(	(	PUNCT
ejpam-6505	414	12	2025	2025	NUM
ejpam-6505	414	13	)	)	PUNCT
ejpam-6505	414	14	,	,	PUNCT
ejpam-6505	414	15	6505	6505	NUM
ejpam-6505	414	16	of	of	ADP
ejpam-6505	414	17	table	table	NOUN
ejpam-6505	414	18	2	2	NUM
ejpam-6505	414	19	:	:	PUNCT
ejpam-6505	414	20	comparison	comparison	NOUN
ejpam-6505	414	21	between	between	ADP
ejpam-6505	414	22	normalized	normalize	VERB
ejpam-6505	414	23	thermocapillary	thermocapillary	ADJ
ejpam-6505	414	24	force	force	NOUN
ejpam-6505	414	25	f	f	PROPN
ejpam-6505	414	26	∗	∗	NOUN
ejpam-6505	414	27	t	t	PROPN
ejpam-6505	414	28	and	and	CCONJ
ejpam-6505	414	29	normalized	normalize	VERB
ejpam-6505	414	30	photocapillary	photocapillary	ADJ
ejpam-6505	414	31	force	force	PROPN
ejpam-6505	414	32	f	f	PROPN
ejpam-6505	414	33	∗	∗	X
ejpam-6505	414	34	ph	ph	X
ejpam-6505	414	35	versus	versus	ADP
ejpam-6505	414	36	thermal	thermal	ADJ
ejpam-6505	414	37	conductivity	conductivity	NOUN
ejpam-6505	414	38	ratio	ratio	NOUN
ejpam-6505	414	39	k	k	PROPN
ejpam-6505	414	40	,	,	PUNCT
ejpam-6505	414	41	for	for	ADP
ejpam-6505	414	42	different	different	ADJ
ejpam-6505	414	43	values	value	NOUN
ejpam-6505	414	44	of	of	ADP
ejpam-6505	414	45	permeability	permeability	NOUN
ejpam-6505	414	46	parameter	parameter	NOUN
ejpam-6505	414	47	α	α	NOUN
ejpam-6505	414	48	,	,	PUNCT
ejpam-6505	414	49	at	at	ADP
ejpam-6505	414	50	σ	σ	PROPN
ejpam-6505	414	51	=	=	SYM
ejpam-6505	414	52	1	1	NUM
ejpam-6505	414	53	.	.	PUNCT
ejpam-6505	415	1	α	α	X
ejpam-6505	415	2	k	k	PROPN
ejpam-6505	415	3	f	f	PROPN
ejpam-6505	415	4	∗	∗	PROPN
ejpam-6505	415	5	t	t	PROPN
ejpam-6505	415	6	f	f	PROPN
ejpam-6505	415	7	∗	∗	X
ejpam-6505	415	8	ph	ph	PROPN
ejpam-6505	415	9	α	α	NOUN
ejpam-6505	415	10	=	=	SYM
ejpam-6505	415	11	2	2	NUM
ejpam-6505	415	12	0.05	0.05	NUM
ejpam-6505	415	13	0.182926829	0.182926829	NUM
ejpam-6505	415	14	3.658536585	3.658536585	NUM
ejpam-6505	415	15	0.25	0.25	NUM
ejpam-6505	415	16	0.166666667	0.166666667	NUM
ejpam-6505	415	17	0.666666667	0.666666667	NUM
ejpam-6505	415	18	0.45	0.45	NUM
ejpam-6505	415	19	0.153061224	0.153061224	NUM
ejpam-6505	415	20	0.340136054	0.340136054	NUM
ejpam-6505	415	21	0.65	0.65	NUM
ejpam-6505	415	22	0.141509434	0.141509434	NUM
ejpam-6505	415	23	0.217706821	0.217706821	NUM
ejpam-6505	415	24	0.85	0.85	NUM
ejpam-6505	415	25	0.131578947	0.131578947	NUM
ejpam-6505	415	26	0.154798762	0.154798762	NUM
ejpam-6505	415	27	1.05	1.05	NUM
ejpam-6505	415	28	0.12295082	0.12295082	NUM
ejpam-6505	415	29	0.117096019	0.117096019	NUM
ejpam-6505	415	30	1.25	1.25	NUM
ejpam-6505	415	31	0.115384615	0.115384615	NUM
ejpam-6505	415	32	0.092307692	0.092307692	NUM
ejpam-6505	415	33	1.45	1.45	NUM
ejpam-6505	415	34	0.108695652	0.108695652	NUM
ejpam-6505	415	35	0.074962519	0.074962519	NUM
ejpam-6505	415	36	1.65	1.65	NUM
ejpam-6505	415	37	0.102739726	0.102739726	NUM
ejpam-6505	415	38	0.062266501	0.062266501	NUM
ejpam-6505	415	39	1.85	1.85	NUM
ejpam-6505	415	40	0.097402597	0.097402597	NUM
ejpam-6505	415	41	0.052650053	0.052650053	NUM
ejpam-6505	415	42	2.05	2.05	NUM
ejpam-6505	415	43	0.092592593	0.092592593	NUM
ejpam-6505	415	44	0.045167118	0.045167118	NUM
ejpam-6505	415	45	α	α	NOUN
ejpam-6505	415	46	=	=	SYM
ejpam-6505	415	47	10	10	NUM
ejpam-6505	415	48	0.05	0.05	NUM
ejpam-6505	415	49	0.335365854	0.335365854	NUM
ejpam-6505	415	50	6.707317073	6.707317073	NUM
ejpam-6505	415	51	0.25	0.25	NUM
ejpam-6505	415	52	0.305555556	0.305555556	NUM
ejpam-6505	415	53	1.222222222	1.222222222	NUM
ejpam-6505	415	54	0.45	0.45	NUM
ejpam-6505	415	55	0.280612245	0.280612245	NUM
ejpam-6505	415	56	0.623582766	0.623582766	NUM
ejpam-6505	415	57	0.65	0.65	NUM
ejpam-6505	415	58	0.259433962	0.259433962	NUM
ejpam-6505	415	59	0.399129173	0.399129173	NUM
ejpam-6505	415	60	0.85	0.85	NUM
ejpam-6505	415	61	0.24122807	0.24122807	NUM
ejpam-6505	415	62	0.28379773	0.28379773	NUM
ejpam-6505	415	63	1.05	1.05	NUM
ejpam-6505	415	64	0.225409836	0.225409836	NUM
ejpam-6505	415	65	0.214676034	0.214676034	NUM
ejpam-6505	415	66	1.25	1.25	NUM
ejpam-6505	415	67	0.211538462	0.211538462	NUM
ejpam-6505	415	68	0.169230769	0.169230769	NUM
ejpam-6505	415	69	1.45	1.45	NUM
ejpam-6505	415	70	0.199275362	0.199275362	NUM
ejpam-6505	415	71	0.137431284	0.137431284	NUM
ejpam-6505	415	72	1.65	1.65	NUM
ejpam-6505	415	73	0.188356164	0.188356164	NUM
ejpam-6505	415	74	0.114155251	0.114155251	NUM
ejpam-6505	415	75	1.85	1.85	NUM
ejpam-6505	415	76	0.178571429	0.178571429	NUM
ejpam-6505	415	77	0.096525097	0.096525097	NUM
ejpam-6505	415	78	2.05	2.05	NUM
ejpam-6505	415	79	0.169753086	0.169753086	NUM
ejpam-6505	415	80	0.082806384	0.082806384	NUM
ejpam-6505	415	81	α→	α→	NUM
ejpam-6505	415	82	∞	∞	NUM
ejpam-6505	415	83	0.05	0.05	NUM
ejpam-6505	415	84	0.464795214	0.464795214	NUM
ejpam-6505	415	85	9.29590428	9.29590428	NUM
ejpam-6505	415	86	0.25	0.25	NUM
ejpam-6505	415	87	0.423480084	0.423480084	NUM
ejpam-6505	415	88	1.693920335	1.693920335	NUM
ejpam-6505	415	89	0.45	0.45	NUM
ejpam-6505	415	90	0.388910281	0.388910281	NUM
ejpam-6505	415	91	0.864245069	0.864245069	NUM
ejpam-6505	415	92	0.65	0.65	NUM
ejpam-6505	415	93	0.359558562	0.359558562	NUM
ejpam-6505	415	94	0.553167018	0.553167018	NUM
ejpam-6505	415	95	0.85	0.85	NUM
ejpam-6505	415	96	0.334326382	0.334326382	NUM
ejpam-6505	415	97	0.393325155	0.393325155	NUM
ejpam-6505	415	98	1.05	1.05	NUM
ejpam-6505	415	99	0.312403341	0.312403341	NUM
ejpam-6505	415	100	0.297526991	0.297526991	NUM
ejpam-6505	415	101	1.25	1.25	NUM
ejpam-6505	415	102	0.29317852	0.29317852	NUM
ejpam-6505	415	103	0.234542816	0.234542816	NUM
ejpam-6505	415	104	1.45	1.45	NUM
ejpam-6505	415	105	0.276182663	0.276182663	NUM
ejpam-6505	415	106	0.190470802	0.190470802	NUM
ejpam-6505	415	107	1.65	1.65	NUM
ejpam-6505	415	108	0.261049367	0.261049367	NUM
ejpam-6505	415	109	0.158211737	0.158211737	NUM
ejpam-6505	415	110	1.85	1.85	NUM
ejpam-6505	415	111	0.247488361	0.247488361	NUM
ejpam-6505	415	112	0.133777492	0.133777492	NUM
ejpam-6505	415	113	2.05	2.05	NUM
ejpam-6505	415	114	0.235266713	0.235266713	NUM
ejpam-6505	415	115	0.11476425	0.11476425	NUM
ejpam-6505	415	116	a.	a.	NOUN
ejpam-6505	415	117	s.	s.	PROPN
ejpam-6505	415	118	aamer	aamer	PROPN
ejpam-6505	415	119	,	,	PUNCT
ejpam-6505	415	120	b.	b.	PROPN
ejpam-6505	415	121	a.	a.	PROPN
ejpam-6505	415	122	ahmed	ahmed	PROPN
ejpam-6505	415	123	,	,	PUNCT
ejpam-6505	415	124	s.	s.	PROPN
ejpam-6505	415	125	a.	a.	PROPN
ejpam-6505	415	126	mahrous	mahrous	PROPN
ejpam-6505	415	127	/	/	SYM
ejpam-6505	415	128	eur	eur	PROPN
ejpam-6505	415	129	.	.	PUNCT
ejpam-6505	416	1	j.	j.	PROPN
ejpam-6505	416	2	pure	pure	PROPN
ejpam-6505	416	3	appl	appl	PROPN
ejpam-6505	416	4	.	.	PROPN
ejpam-6505	416	5	math	math	PROPN
ejpam-6505	416	6	,	,	PUNCT
ejpam-6505	416	7	18	18	NUM
ejpam-6505	416	8	(	(	PUNCT
ejpam-6505	416	9	3	3	NUM
ejpam-6505	416	10	)	)	PUNCT
ejpam-6505	416	11	(	(	PUNCT
ejpam-6505	416	12	2025	2025	NUM
ejpam-6505	416	13	)	)	PUNCT
ejpam-6505	416	14	,	,	PUNCT
ejpam-6505	416	15	6505	6505	NUM
ejpam-6505	416	16	of	of	ADP
ejpam-6505	416	17	figure	figure	NOUN
ejpam-6505	416	18	22	22	NUM
ejpam-6505	416	19	:	:	PUNCT
ejpam-6505	416	20	comparison	comparison	NOUN
ejpam-6505	416	21	between	between	ADP
ejpam-6505	416	22	normalized	normalize	VERB
ejpam-6505	416	23	thermocapillary	thermocapillary	ADJ
ejpam-6505	416	24	force	force	NOUN
ejpam-6505	416	25	f	f	PROPN
ejpam-6505	416	26	∗	∗	NOUN
ejpam-6505	416	27	t	t	PROPN
ejpam-6505	416	28	and	and	CCONJ
ejpam-6505	416	29	normalized	normalize	VERB
ejpam-6505	416	30	photocapillary	photocapillary	ADJ
ejpam-6505	416	31	force	force	PROPN
ejpam-6505	416	32	f	f	PROPN
ejpam-6505	416	33	∗	∗	X
ejpam-6505	416	34	ph	ph	X
ejpam-6505	416	35	versus	versus	ADP
ejpam-6505	416	36	thermal	thermal	ADJ
ejpam-6505	416	37	conductivity	conductivity	NOUN
ejpam-6505	416	38	ratio	ratio	NOUN
ejpam-6505	416	39	k	k	PROPN
ejpam-6505	416	40	,	,	PUNCT
ejpam-6505	416	41	for	for	ADP
ejpam-6505	416	42	different	different	ADJ
ejpam-6505	416	43	values	value	NOUN
ejpam-6505	416	44	of	of	ADP
ejpam-6505	416	45	permeability	permeability	NOUN
ejpam-6505	416	46	parameter	parameter	NOUN
ejpam-6505	416	47	α	α	NOUN
ejpam-6505	416	48	,	,	PUNCT
ejpam-6505	416	49	at	at	ADP
ejpam-6505	416	50	specific	specific	ADJ
ejpam-6505	416	51	values	value	NOUN
ejpam-6505	416	52	of	of	ADP
ejpam-6505	416	53	viscosity	viscosity	NOUN
ejpam-6505	416	54	ratio	ratio	NOUN
ejpam-6505	416	55	σ	σ	PROPN
ejpam-6505	416	56	=	=	SYM
ejpam-6505	416	57	1	1	NUM
ejpam-6505	416	58	,	,	PUNCT
ejpam-6505	416	59	σ	σ	NOUN
ejpam-6505	416	60	=	=	SYM
ejpam-6505	416	61	10	10	NUM
ejpam-6505	416	62	.	.	PUNCT
ejpam-6505	416	63	table	table	NOUN
ejpam-6505	416	64	1	1	NUM
ejpam-6505	416	65	displays	display	VERB
ejpam-6505	416	66	the	the	DET
ejpam-6505	416	67	numeric	numeric	ADJ
ejpam-6505	416	68	comparison	comparison	NOUN
ejpam-6505	416	69	between	between	ADP
ejpam-6505	416	70	the	the	DET
ejpam-6505	416	71	two	two	NUM
ejpam-6505	416	72	normalized	normalize	VERB
ejpam-6505	416	73	velocities	velocity	NOUN
ejpam-6505	416	74	due	due	ADJ
ejpam-6505	416	75	to	to	ADP
ejpam-6505	416	76	the	the	DET
ejpam-6505	416	77	effects	effect	NOUN
ejpam-6505	416	78	of	of	ADP
ejpam-6505	416	79	thermocapillary	thermocapillary	ADJ
ejpam-6505	416	80	u∗	u∗	PROPN
ejpam-6505	416	81	t	t	PROPN
ejpam-6505	416	82	and	and	CCONJ
ejpam-6505	416	83	the	the	DET
ejpam-6505	416	84	photocapillary	photocapillary	ADJ
ejpam-6505	416	85	u∗	u∗	ADJ
ejpam-6505	416	86	ph	ph	PROPN
ejpam-6505	416	87	.	.	PUNCT
ejpam-6505	417	1	the	the	DET
ejpam-6505	417	2	two	two	NUM
ejpam-6505	417	3	velocities	velocity	NOUN
ejpam-6505	417	4	are	be	AUX
ejpam-6505	417	5	found	find	VERB
ejpam-6505	417	6	for	for	ADP
ejpam-6505	417	7	different	different	ADJ
ejpam-6505	417	8	values	value	NOUN
ejpam-6505	417	9	of	of	ADP
ejpam-6505	417	10	the	the	DET
ejpam-6505	417	11	thermal	thermal	ADJ
ejpam-6505	417	12	conductivity	conductivity	NOUN
ejpam-6505	417	13	ratio	ratio	NOUN
ejpam-6505	417	14	k	k	PROPN
ejpam-6505	417	15	and	and	CCONJ
ejpam-6505	417	16	the	the	DET
ejpam-6505	417	17	permeability	permeability	NOUN
ejpam-6505	417	18	parameter	parameter	NOUN
ejpam-6505	417	19	α	α	NOUN
ejpam-6505	417	20	,	,	PUNCT
ejpam-6505	417	21	at	at	ADP
ejpam-6505	417	22	the	the	DET
ejpam-6505	417	23	viscosity	viscosity	NOUN
ejpam-6505	417	24	ratio	ratio	NOUN
ejpam-6505	417	25	(	(	PUNCT
ejpam-6505	417	26	σ	σ	NOUN
ejpam-6505	417	27	=	=	SYM
ejpam-6505	417	28	1	1	NUM
ejpam-6505	417	29	)	)	PUNCT
ejpam-6505	417	30	.	.	PUNCT
ejpam-6505	418	1	it	it	PRON
ejpam-6505	418	2	is	be	AUX
ejpam-6505	418	3	observed	observe	VERB
ejpam-6505	418	4	that	that	SCONJ
ejpam-6505	418	5	for	for	ADP
ejpam-6505	418	6	fixed	fixed	ADJ
ejpam-6505	418	7	α	α	NOUN
ejpam-6505	418	8	,	,	PUNCT
ejpam-6505	418	9	both	both	CCONJ
ejpam-6505	418	10	u∗	u∗	PROPN
ejpam-6505	418	11	t	t	NOUN
ejpam-6505	418	12	and	and	CCONJ
ejpam-6505	418	13	u∗	u∗	ADJ
ejpam-6505	418	14	ph	ph	ADJ
ejpam-6505	418	15	decrease	decrease	NOUN
ejpam-6505	418	16	as	as	ADP
ejpam-6505	418	17	k	k	PROPN
ejpam-6505	418	18	increases	increase	NOUN
ejpam-6505	418	19	,	,	PUNCT
ejpam-6505	418	20	that	that	ADV
ejpam-6505	418	21	is	is	ADV
ejpam-6505	418	22	,	,	PUNCT
ejpam-6505	418	23	a	a	DET
ejpam-6505	418	24	more	more	ADV
ejpam-6505	418	25	thermally	thermally	ADV
ejpam-6505	418	26	conductive	conductive	ADJ
ejpam-6505	418	27	droplet	droplet	ADJ
ejpam-6505	418	28	leads	lead	NOUN
ejpam-6505	418	29	to	to	ADP
ejpam-6505	418	30	lower	low	ADJ
ejpam-6505	418	31	interfacial	interfacial	ADJ
ejpam-6505	418	32	temperature	temperature	NOUN
ejpam-6505	418	33	gradients	gradient	NOUN
ejpam-6505	418	34	,	,	PUNCT
ejpam-6505	418	35	which	which	PRON
ejpam-6505	418	36	in	in	ADP
ejpam-6505	418	37	turn	turn	NOUN
ejpam-6505	418	38	reduces	reduce	VERB
ejpam-6505	418	39	marangoni	marangoni	NOUN
ejpam-6505	418	40	-	-	PUNCT
ejpam-6505	418	41	driven	drive	VERB
ejpam-6505	418	42	motion	motion	NOUN
ejpam-6505	418	43	,	,	PUNCT
ejpam-6505	418	44	also	also	ADV
ejpam-6505	418	45	,	,	PUNCT
ejpam-6505	418	46	the	the	DET
ejpam-6505	418	47	photocapillary	photocapillary	ADJ
ejpam-6505	418	48	velocity	velocity	NOUN
ejpam-6505	418	49	drops	drop	VERB
ejpam-6505	418	50	more	more	ADV
ejpam-6505	418	51	sharply	sharply	ADV
ejpam-6505	418	52	than	than	ADP
ejpam-6505	418	53	the	the	DET
ejpam-6505	418	54	thermocapillary	thermocapillary	ADJ
ejpam-6505	418	55	velocity	velocity	NOUN
ejpam-6505	418	56	with	with	ADP
ejpam-6505	418	57	increasing	increase	VERB
ejpam-6505	418	58	k	k	NOUN
ejpam-6505	418	59	,	,	PUNCT
ejpam-6505	418	60	especially	especially	ADV
ejpam-6505	418	61	at	at	ADP
ejpam-6505	418	62	low	low	ADJ
ejpam-6505	418	63	α	α	NOUN
ejpam-6505	418	64	.	.	PUNCT
ejpam-6505	419	1	for	for	ADP
ejpam-6505	419	2	increasing	increase	VERB
ejpam-6505	419	3	α	α	PRON
ejpam-6505	419	4	,	,	PUNCT
ejpam-6505	419	5	both	both	CCONJ
ejpam-6505	419	6	u∗	u∗	PROPN
ejpam-6505	419	7	t	t	NOUN
ejpam-6505	419	8	and	and	CCONJ
ejpam-6505	419	9	u∗	u∗	ADJ
ejpam-6505	419	10	ph	ph	ADJ
ejpam-6505	419	11	decline	decline	NOUN
ejpam-6505	419	12	,	,	PUNCT
ejpam-6505	419	13	approaching	approach	VERB
ejpam-6505	419	14	zero	zero	NUM
ejpam-6505	419	15	in	in	ADP
ejpam-6505	419	16	the	the	DET
ejpam-6505	419	17	darcian	darcian	NOUN
ejpam-6505	419	18	limit	limit	NOUN
ejpam-6505	419	19	(	(	PUNCT
ejpam-6505	419	20	α	α	PROPN
ejpam-6505	419	21	→	→	SYM
ejpam-6505	419	22	∞	∞	NUM
ejpam-6505	419	23	)	)	PUNCT
ejpam-6505	419	24	,	,	PUNCT
ejpam-6505	419	25	and	and	CCONJ
ejpam-6505	419	26	for	for	ADP
ejpam-6505	419	27	any	any	DET
ejpam-6505	419	28	fixed	fixed	ADJ
ejpam-6505	419	29	k	k	NOUN
ejpam-6505	419	30	,	,	PUNCT
ejpam-6505	419	31	it	it	PRON
ejpam-6505	419	32	is	be	AUX
ejpam-6505	419	33	obvious	obvious	ADJ
ejpam-6505	419	34	that	that	SCONJ
ejpam-6505	419	35	the	the	DET
ejpam-6505	419	36	values	value	NOUN
ejpam-6505	419	37	of	of	ADP
ejpam-6505	419	38	both	both	DET
ejpam-6505	419	39	velocities	velocity	NOUN
ejpam-6505	419	40	drop	drop	VERB
ejpam-6505	419	41	by	by	ADP
ejpam-6505	419	42	more	more	ADJ
ejpam-6505	419	43	than	than	ADP
ejpam-6505	419	44	two	two	NUM
ejpam-6505	419	45	orders	order	NOUN
ejpam-6505	419	46	of	of	ADP
ejpam-6505	419	47	magnitude	magnitude	NOUN
ejpam-6505	419	48	as	as	SCONJ
ejpam-6505	419	49	α	α	NOUN
ejpam-6505	419	50	increases	increase	VERB
ejpam-6505	419	51	from	from	ADP
ejpam-6505	419	52	2	2	NUM
ejpam-6505	419	53	to	to	ADP
ejpam-6505	419	54	∞	∞	PROPN
ejpam-6505	419	55	,	,	PUNCT
ejpam-6505	419	56	confirming	confirm	VERB
ejpam-6505	419	57	the	the	DET
ejpam-6505	419	58	dominant	dominant	ADJ
ejpam-6505	419	59	drag	drag	NOUN
ejpam-6505	419	60	of	of	ADP
ejpam-6505	419	61	the	the	DET
ejpam-6505	419	62	porous	porous	ADJ
ejpam-6505	419	63	structure	structure	NOUN
ejpam-6505	419	64	.	.	PUNCT
ejpam-6505	420	1	table	table	NOUN
ejpam-6505	420	2	2	2	NUM
ejpam-6505	420	3	shows	show	VERB
ejpam-6505	420	4	the	the	DET
ejpam-6505	420	5	comparison	comparison	NOUN
ejpam-6505	420	6	between	between	ADP
ejpam-6505	420	7	the	the	DET
ejpam-6505	420	8	normalized	normalize	VERB
ejpam-6505	420	9	thermocapillary	thermocapillary	ADJ
ejpam-6505	420	10	force	force	NOUN
ejpam-6505	420	11	f	f	PROPN
ejpam-6505	420	12	∗	∗	NOUN
ejpam-6505	420	13	t	t	PROPN
ejpam-6505	420	14	and	and	CCONJ
ejpam-6505	420	15	the	the	DET
ejpam-6505	420	16	normalized	normalize	VERB
ejpam-6505	420	17	photocapillary	photocapillary	ADJ
ejpam-6505	420	18	force	force	PROPN
ejpam-6505	420	19	f	f	PROPN
ejpam-6505	420	20	∗	∗	X
ejpam-6505	420	21	ph	ph	PROPN
ejpam-6505	420	22	,	,	PUNCT
ejpam-6505	420	23	the	the	DET
ejpam-6505	420	24	same	same	ADJ
ejpam-6505	420	25	parametric	parametric	ADJ
ejpam-6505	420	26	attributes	attribute	NOUN
ejpam-6505	420	27	as	as	ADP
ejpam-6505	420	28	table	table	NOUN
ejpam-6505	420	29	1	1	NUM
ejpam-6505	420	30	are	be	AUX
ejpam-6505	420	31	present	present	ADJ
ejpam-6505	420	32	.	.	PUNCT
ejpam-6505	421	1	the	the	DET
ejpam-6505	421	2	observable	observable	ADJ
ejpam-6505	421	3	is	be	AUX
ejpam-6505	421	4	that	that	SCONJ
ejpam-6505	421	5	both	both	DET
ejpam-6505	421	6	forces	force	NOUN
ejpam-6505	421	7	decrease	decrease	VERB
ejpam-6505	421	8	significantly	significantly	ADV
ejpam-6505	421	9	with	with	ADP
ejpam-6505	421	10	increasing	increase	VERB
ejpam-6505	421	11	k.	k.	PROPN
ejpam-6505	421	12	for	for	ADP
ejpam-6505	421	13	instance	instance	NOUN
ejpam-6505	421	14	,	,	PUNCT
ejpam-6505	421	15	at	at	ADP
ejpam-6505	421	16	(	(	PUNCT
ejpam-6505	421	17	α	α	NOUN
ejpam-6505	421	18	=	=	SYM
ejpam-6505	421	19	2	2	NUM
ejpam-6505	421	20	)	)	PUNCT
ejpam-6505	421	21	,	,	PUNCT
ejpam-6505	421	22	f	f	PROPN
ejpam-6505	421	23	∗	∗	NOUN
ejpam-6505	421	24	t	t	PROPN
ejpam-6505	421	25	drops	drop	VERB
ejpam-6505	421	26	by	by	ADP
ejpam-6505	421	27	half	half	NOUN
ejpam-6505	421	28	,	,	PUNCT
ejpam-6505	421	29	on	on	ADP
ejpam-6505	421	30	the	the	DET
ejpam-6505	421	31	other	other	ADJ
ejpam-6505	421	32	hand	hand	NOUN
ejpam-6505	421	33	,	,	PUNCT
ejpam-6505	421	34	f	f	PROPN
ejpam-6505	421	35	∗	∗	NOUN
ejpam-6505	421	36	ph	ph	NOUN
ejpam-6505	421	37	drops	drop	NOUN
ejpam-6505	421	38	by	by	ADP
ejpam-6505	421	39	a	a	DET
ejpam-6505	421	40	much	much	ADV
ejpam-6505	421	41	larger	large	ADJ
ejpam-6505	421	42	magnitude	magnitude	NOUN
ejpam-6505	421	43	.	.	PUNCT
ejpam-6505	422	1	this	this	PRON
ejpam-6505	422	2	again	again	ADV
ejpam-6505	422	3	confirms	confirm	VERB
ejpam-6505	422	4	a.	a.	PROPN
ejpam-6505	422	5	s.	s.	PROPN
ejpam-6505	422	6	aamer	aamer	PROPN
ejpam-6505	422	7	,	,	PUNCT
ejpam-6505	422	8	b.	b.	PROPN
ejpam-6505	422	9	a.	a.	PROPN
ejpam-6505	422	10	ahmed	ahmed	PROPN
ejpam-6505	422	11	,	,	PUNCT
ejpam-6505	422	12	s.	s.	PROPN
ejpam-6505	422	13	a.	a.	PROPN
ejpam-6505	422	14	mahrous	mahrous	PROPN
ejpam-6505	422	15	/	/	SYM
ejpam-6505	422	16	eur	eur	PROPN
ejpam-6505	422	17	.	.	PUNCT
ejpam-6505	423	1	j.	j.	PROPN
ejpam-6505	423	2	pure	pure	PROPN
ejpam-6505	423	3	appl	appl	PROPN
ejpam-6505	423	4	.	.	PROPN
ejpam-6505	423	5	math	math	PROPN
ejpam-6505	423	6	,	,	PUNCT
ejpam-6505	423	7	18	18	NUM
ejpam-6505	423	8	(	(	PUNCT
ejpam-6505	423	9	3	3	NUM
ejpam-6505	423	10	)	)	PUNCT
ejpam-6505	423	11	(	(	PUNCT
ejpam-6505	423	12	2025	2025	NUM
ejpam-6505	423	13	)	)	PUNCT
ejpam-6505	423	14	,	,	PUNCT
ejpam-6505	423	15	6505	6505	NUM
ejpam-6505	423	16	of	of	ADP
ejpam-6505	423	17	that	that	PRON
ejpam-6505	423	18	the	the	DET
ejpam-6505	423	19	low	low	ADJ
ejpam-6505	423	20	thermal	thermal	ADJ
ejpam-6505	423	21	conductivity	conductivity	NOUN
ejpam-6505	423	22	of	of	ADP
ejpam-6505	423	23	the	the	DET
ejpam-6505	423	24	droplet	droplet	ADJ
ejpam-6505	423	25	enhances	enhance	VERB
ejpam-6505	423	26	temperature	temperature	NOUN
ejpam-6505	423	27	gradients	gradient	NOUN
ejpam-6505	423	28	,	,	PUNCT
ejpam-6505	423	29	that	that	PRON
ejpam-6505	423	30	is	is	ADV
ejpam-6505	423	31	,	,	PUNCT
ejpam-6505	423	32	stronger	strong	ADJ
ejpam-6505	423	33	marangoni	marangoni	NOUN
ejpam-6505	423	34	stresses	stress	VERB
ejpam-6505	423	35	,	,	PUNCT
ejpam-6505	423	36	that	that	ADV
ejpam-6505	423	37	is	is	ADV
ejpam-6505	423	38	,	,	PUNCT
ejpam-6505	423	39	larger	large	ADJ
ejpam-6505	423	40	forces	force	NOUN
ejpam-6505	423	41	.	.	PUNCT
ejpam-6505	424	1	at	at	ADP
ejpam-6505	424	2	a	a	DET
ejpam-6505	424	3	fixed	fixed	ADJ
ejpam-6505	424	4	k	k	NOUN
ejpam-6505	424	5	,	,	PUNCT
ejpam-6505	424	6	both	both	DET
ejpam-6505	424	7	forces	force	NOUN
ejpam-6505	424	8	increase	increase	VERB
ejpam-6505	424	9	with	with	ADP
ejpam-6505	424	10	α	α	PROPN
ejpam-6505	424	11	(	(	PUNCT
ejpam-6505	424	12	contrary	contrary	ADV
ejpam-6505	424	13	to	to	ADP
ejpam-6505	424	14	the	the	DET
ejpam-6505	424	15	velocities	velocity	NOUN
ejpam-6505	424	16	u∗	u∗	PROPN
ejpam-6505	424	17	t	t	PROPN
ejpam-6505	424	18	,	,	PUNCT
ejpam-6505	424	19	u	u	NOUN
ejpam-6505	424	20	∗	∗	NOUN
ejpam-6505	424	21	ph	ph	VERB
ejpam-6505	424	22	)	)	PUNCT
ejpam-6505	424	23	.	.	PUNCT
ejpam-6505	425	1	larger	large	ADJ
ejpam-6505	425	2	α	α	NOUN
ejpam-6505	425	3	reflects	reflect	VERB
ejpam-6505	425	4	to	to	ADP
ejpam-6505	425	5	more	more	ADJ
ejpam-6505	425	6	hydrodynamic	hydrodynamic	ADJ
ejpam-6505	425	7	drag	drag	NOUN
ejpam-6505	425	8	,	,	PUNCT
ejpam-6505	425	9	so	so	SCONJ
ejpam-6505	425	10	a	a	DET
ejpam-6505	425	11	greater	great	ADJ
ejpam-6505	425	12	driving	driving	NOUN
ejpam-6505	425	13	force	force	NOUN
ejpam-6505	425	14	is	be	AUX
ejpam-6505	425	15	required	require	VERB
ejpam-6505	425	16	to	to	PART
ejpam-6505	425	17	maintain	maintain	VERB
ejpam-6505	425	18	motion	motion	NOUN
ejpam-6505	425	19	.	.	PUNCT
ejpam-6505	426	1	notably	notably	ADV
ejpam-6505	426	2	,	,	PUNCT
ejpam-6505	426	3	despite	despite	SCONJ
ejpam-6505	426	4	the	the	DET
ejpam-6505	426	5	lower	low	ADJ
ejpam-6505	426	6	velocity	velocity	NOUN
ejpam-6505	426	7	,	,	PUNCT
ejpam-6505	426	8	the	the	DET
ejpam-6505	426	9	force	force	NOUN
ejpam-6505	426	10	needed	need	VERB
ejpam-6505	426	11	to	to	PART
ejpam-6505	426	12	move	move	VERB
ejpam-6505	426	13	the	the	DET
ejpam-6505	426	14	droplet	droplet	ADJ
ejpam-6505	426	15	under	under	ADP
ejpam-6505	426	16	photocapillary	photocapillary	ADJ
ejpam-6505	426	17	effect	effect	NOUN
ejpam-6505	426	18	can	can	AUX
ejpam-6505	426	19	be	be	AUX
ejpam-6505	426	20	larger	large	ADJ
ejpam-6505	426	21	due	due	ADJ
ejpam-6505	426	22	to	to	ADP
ejpam-6505	426	23	concentrated	concentrate	VERB
ejpam-6505	426	24	internal	internal	ADJ
ejpam-6505	426	25	heating	heating	NOUN
ejpam-6505	426	26	leading	lead	VERB
ejpam-6505	426	27	to	to	ADP
ejpam-6505	426	28	stronger	strong	ADJ
ejpam-6505	426	29	local	local	ADJ
ejpam-6505	426	30	stresses	stress	NOUN
ejpam-6505	426	31	,	,	PUNCT
ejpam-6505	426	32	but	but	CCONJ
ejpam-6505	426	33	not	not	PART
ejpam-6505	426	34	necessarily	necessarily	ADV
ejpam-6505	426	35	higher	high	ADJ
ejpam-6505	426	36	net	net	ADJ
ejpam-6505	426	37	motion	motion	NOUN
ejpam-6505	426	38	due	due	ADP
ejpam-6505	426	39	to	to	ADP
ejpam-6505	426	40	dissipation	dissipation	NOUN
ejpam-6505	426	41	.	.	PUNCT
ejpam-6505	427	1	a	a	DET
ejpam-6505	427	2	comparative	comparative	ADJ
ejpam-6505	427	3	analysis	analysis	NOUN
ejpam-6505	427	4	of	of	ADP
ejpam-6505	427	5	the	the	DET
ejpam-6505	427	6	normalized	normalize	VERB
ejpam-6505	427	7	thermocapillary	thermocapillary	ADJ
ejpam-6505	427	8	force	force	NOUN
ejpam-6505	427	9	f	f	PROPN
ejpam-6505	427	10	∗	∗	NOUN
ejpam-6505	427	11	t	t	PROPN
ejpam-6505	427	12	and	and	CCONJ
ejpam-6505	427	13	photocapillary	photocapillary	ADJ
ejpam-6505	427	14	force	force	NOUN
ejpam-6505	427	15	f	f	PROPN
ejpam-6505	427	16	∗	∗	X
ejpam-6505	427	17	ph	ph	PROPN
ejpam-6505	427	18	versus	versus	ADP
ejpam-6505	427	19	the	the	DET
ejpam-6505	427	20	thermal	thermal	ADJ
ejpam-6505	427	21	conductivity	conductivity	NOUN
ejpam-6505	427	22	ratio	ratio	NOUN
ejpam-6505	427	23	k	k	PROPN
ejpam-6505	427	24	,	,	PUNCT
ejpam-6505	427	25	as	as	SCONJ
ejpam-6505	427	26	depicted	depict	VERB
ejpam-6505	427	27	in	in	ADP
ejpam-6505	427	28	fig	fig	NOUN
ejpam-6505	427	29	.	.	PUNCT
ejpam-6505	428	1	22	22	NUM
ejpam-6505	429	1	,	,	PUNCT
ejpam-6505	429	2	reveals	reveal	VERB
ejpam-6505	429	3	distinct	distinct	ADJ
ejpam-6505	429	4	behaviors	behavior	NOUN
ejpam-6505	429	5	rooted	root	VERB
ejpam-6505	429	6	in	in	ADP
ejpam-6505	429	7	their	their	PRON
ejpam-6505	429	8	mechanisms	mechanism	NOUN
ejpam-6505	429	9	of	of	ADP
ejpam-6505	429	10	interfacial	interfacial	ADJ
ejpam-6505	429	11	temperature	temperature	NOUN
ejpam-6505	429	12	gradient	gradient	NOUN
ejpam-6505	429	13	generation	generation	NOUN
ejpam-6505	429	14	.	.	PUNCT
ejpam-6505	430	1	f	f	PROPN
ejpam-6505	430	2	∗	∗	PROPN
ejpam-6505	430	3	t	t	PROPN
ejpam-6505	430	4	,	,	PUNCT
ejpam-6505	430	5	arising	arise	VERB
ejpam-6505	430	6	from	from	ADP
ejpam-6505	430	7	an	an	DET
ejpam-6505	430	8	externally	externally	ADV
ejpam-6505	430	9	imposed	impose	VERB
ejpam-6505	430	10	thermal	thermal	ADJ
ejpam-6505	430	11	field	field	NOUN
ejpam-6505	430	12	,	,	PUNCT
ejpam-6505	430	13	exhibits	exhibit	VERB
ejpam-6505	430	14	a	a	DET
ejpam-6505	430	15	monotonic	monotonic	ADJ
ejpam-6505	430	16	decrease	decrease	NOUN
ejpam-6505	430	17	with	with	ADP
ejpam-6505	430	18	an	an	DET
ejpam-6505	430	19	increasing	increase	VERB
ejpam-6505	430	20	k	k	NOUN
ejpam-6505	430	21	;	;	PUNCT
ejpam-6505	430	22	a	a	DET
ejpam-6505	430	23	higher	high	ADJ
ejpam-6505	430	24	k	k	PROPN
ejpam-6505	430	25	signifies	signify	VERB
ejpam-6505	430	26	a	a	DET
ejpam-6505	430	27	more	more	ADV
ejpam-6505	430	28	thermally	thermally	ADV
ejpam-6505	430	29	conductive	conductive	ADJ
ejpam-6505	430	30	droplet	droplet	ADJ
ejpam-6505	430	31	relative	relative	NOUN
ejpam-6505	430	32	to	to	ADP
ejpam-6505	430	33	its	its	PRON
ejpam-6505	430	34	surroundings	surrounding	NOUN
ejpam-6505	430	35	,	,	PUNCT
ejpam-6505	430	36	leading	lead	VERB
ejpam-6505	430	37	to	to	ADP
ejpam-6505	430	38	enhanced	enhanced	ADJ
ejpam-6505	430	39	heat	heat	NOUN
ejpam-6505	430	40	diffusion	diffusion	NOUN
ejpam-6505	430	41	through	through	ADP
ejpam-6505	430	42	the	the	DET
ejpam-6505	430	43	droplet	droplet	ADJ
ejpam-6505	430	44	bulk	bulk	NOUN
ejpam-6505	430	45	,	,	PUNCT
ejpam-6505	430	46	which	which	PRON
ejpam-6505	430	47	homogenizes	homogenize	VERB
ejpam-6505	430	48	the	the	DET
ejpam-6505	430	49	droplet	droplet	ADJ
ejpam-6505	430	50	’s	’s	PART
ejpam-6505	430	51	internal	internal	ADJ
ejpam-6505	430	52	temperature	temperature	NOUN
ejpam-6505	430	53	and	and	CCONJ
ejpam-6505	430	54	thereby	thereby	ADV
ejpam-6505	430	55	diminishes	diminish	VERB
ejpam-6505	430	56	the	the	DET
ejpam-6505	430	57	magnitude	magnitude	NOUN
ejpam-6505	430	58	of	of	ADP
ejpam-6505	430	59	the	the	DET
ejpam-6505	430	60	temperature	temperature	NOUN
ejpam-6505	430	61	gradient	gradient	NOUN
ejpam-6505	430	62	sustained	sustain	VERB
ejpam-6505	430	63	along	along	ADP
ejpam-6505	430	64	its	its	PRON
ejpam-6505	430	65	interface	interface	NOUN
ejpam-6505	430	66	by	by	ADP
ejpam-6505	430	67	the	the	DET
ejpam-6505	430	68	external	external	ADJ
ejpam-6505	430	69	field	field	NOUN
ejpam-6505	430	70	,	,	PUNCT
ejpam-6505	430	71	consequently	consequently	ADV
ejpam-6505	430	72	weakening	weaken	VERB
ejpam-6505	430	73	marangoni	marangoni	NOUN
ejpam-6505	430	74	stresses	stress	VERB
ejpam-6505	430	75	and	and	CCONJ
ejpam-6505	430	76	reducing	reduce	VERB
ejpam-6505	430	77	the	the	DET
ejpam-6505	430	78	propulsive	propulsive	ADJ
ejpam-6505	430	79	force	force	NOUN
ejpam-6505	430	80	.	.	PUNCT
ejpam-6505	431	1	conversely	conversely	ADV
ejpam-6505	431	2	,	,	PUNCT
ejpam-6505	431	3	f	f	PROPN
ejpam-6505	431	4	∗	∗	NOUN
ejpam-6505	431	5	ph	ph	PROPN
ejpam-6505	431	6	,	,	PUNCT
ejpam-6505	431	7	generated	generate	VERB
ejpam-6505	431	8	by	by	ADP
ejpam-6505	431	9	internal	internal	ADJ
ejpam-6505	431	10	heat	heat	NOUN
ejpam-6505	431	11	absorption	absorption	NOUN
ejpam-6505	431	12	from	from	ADP
ejpam-6505	431	13	light	light	NOUN
ejpam-6505	431	14	,	,	PUNCT
ejpam-6505	431	15	displays	display	VERB
ejpam-6505	431	16	a	a	DET
ejpam-6505	431	17	particularly	particularly	ADV
ejpam-6505	431	18	striking	striking	ADJ
ejpam-6505	431	19	rapid	rapid	ADJ
ejpam-6505	431	20	decrease	decrease	NOUN
ejpam-6505	431	21	towards	towards	ADP
ejpam-6505	431	22	zero	zero	NUM
ejpam-6505	431	23	within	within	ADP
ejpam-6505	431	24	a	a	DET
ejpam-6505	431	25	very	very	ADV
ejpam-6505	431	26	narrow	narrow	ADJ
ejpam-6505	431	27	range	range	NOUN
ejpam-6505	431	28	where	where	SCONJ
ejpam-6505	431	29	(	(	PUNCT
ejpam-6505	431	30	k	k	X
ejpam-6505	431	31	<	<	X
ejpam-6505	431	32	<	<	X
ejpam-6505	431	33	1	1	NUM
ejpam-6505	431	34	)	)	PUNCT
ejpam-6505	431	35	.	.	PUNCT
ejpam-6505	432	1	this	this	PRON
ejpam-6505	432	2	occurs	occur	VERB
ejpam-6505	432	3	because	because	SCONJ
ejpam-6505	432	4	when	when	SCONJ
ejpam-6505	432	5	the	the	DET
ejpam-6505	432	6	droplet	droplet	NOUN
ejpam-6505	432	7	is	be	AUX
ejpam-6505	432	8	a	a	DET
ejpam-6505	432	9	considerably	considerably	ADV
ejpam-6505	432	10	less	less	ADV
ejpam-6505	432	11	efficient	efficient	ADJ
ejpam-6505	432	12	thermal	thermal	ADJ
ejpam-6505	432	13	conductor	conductor	NOUN
ejpam-6505	432	14	(	(	PUNCT
ejpam-6505	432	15	both	both	CCONJ
ejpam-6505	432	16	internally	internally	ADV
ejpam-6505	432	17	and	and	CCONJ
ejpam-6505	432	18	relative	relative	ADJ
ejpam-6505	432	19	to	to	ADP
ejpam-6505	432	20	the	the	DET
ejpam-6505	432	21	surrounding	surround	VERB
ejpam-6505	432	22	medium	medium	NOUN
ejpam-6505	432	23	)	)	PUNCT
ejpam-6505	432	24	,	,	PUNCT
ejpam-6505	432	25	the	the	DET
ejpam-6505	432	26	heat	heat	NOUN
ejpam-6505	432	27	generated	generate	VERB
ejpam-6505	432	28	within	within	ADP
ejpam-6505	432	29	it	it	PRON
ejpam-6505	432	30	can	can	AUX
ejpam-6505	432	31	not	not	PART
ejpam-6505	432	32	effectively	effectively	ADV
ejpam-6505	432	33	establish	establish	VERB
ejpam-6505	432	34	and	and	CCONJ
ejpam-6505	432	35	sustain	sustain	VERB
ejpam-6505	432	36	strong	strong	ADJ
ejpam-6505	432	37	interfacial	interfacial	ADJ
ejpam-6505	432	38	temperature	temperature	NOUN
ejpam-6505	432	39	gradients	gradient	NOUN
ejpam-6505	432	40	necessary	necessary	ADJ
ejpam-6505	432	41	for	for	ADP
ejpam-6505	432	42	a	a	DET
ejpam-6505	432	43	significant	significant	ADJ
ejpam-6505	432	44	marangoni	marangoni	NOUN
ejpam-6505	432	45	effect	effect	NOUN
ejpam-6505	432	46	;	;	PUNCT
ejpam-6505	432	47	the	the	DET
ejpam-6505	432	48	poor	poor	ADJ
ejpam-6505	432	49	internal	internal	ADJ
ejpam-6505	432	50	thermal	thermal	ADJ
ejpam-6505	432	51	transport	transport	NOUN
ejpam-6505	432	52	delays	delay	VERB
ejpam-6505	432	53	the	the	DET
ejpam-6505	432	54	development	development	NOUN
ejpam-6505	432	55	of	of	ADP
ejpam-6505	432	56	a	a	DET
ejpam-6505	432	57	nonuniform	nonuniform	ADJ
ejpam-6505	432	58	surface	surface	NOUN
ejpam-6505	432	59	temperature	temperature	NOUN
ejpam-6505	432	60	profile	profile	NOUN
ejpam-6505	432	61	.	.	PUNCT
ejpam-6505	433	1	thus	thus	ADV
ejpam-6505	433	2	,	,	PUNCT
ejpam-6505	433	3	at	at	ADP
ejpam-6505	433	4	(	(	PUNCT
ejpam-6505	433	5	k	k	X
ejpam-6505	433	6	<	<	X
ejpam-6505	433	7	<	<	X
ejpam-6505	433	8	1	1	NUM
ejpam-6505	433	9	)	)	PUNCT
ejpam-6505	433	10	,	,	PUNCT
ejpam-6505	433	11	f	f	PROPN
ejpam-6505	433	12	∗	∗	PROPN
ejpam-6505	433	13	t	t	PROPN
ejpam-6505	433	14	tends	tend	VERB
ejpam-6505	433	15	to	to	PART
ejpam-6505	433	16	be	be	AUX
ejpam-6505	433	17	relatively	relatively	ADV
ejpam-6505	433	18	high	high	ADJ
ejpam-6505	433	19	as	as	SCONJ
ejpam-6505	433	20	the	the	DET
ejpam-6505	433	21	droplet	droplet	ADJ
ejpam-6505	433	22	’s	’s	PART
ejpam-6505	433	23	poor	poor	ADJ
ejpam-6505	433	24	conductivity	conductivity	NOUN
ejpam-6505	433	25	helps	help	VERB
ejpam-6505	433	26	maintain	maintain	VERB
ejpam-6505	433	27	the	the	DET
ejpam-6505	433	28	externally	externally	ADV
ejpam-6505	433	29	imposed	impose	VERB
ejpam-6505	433	30	gradient	gradient	NOUN
ejpam-6505	433	31	across	across	ADP
ejpam-6505	433	32	its	its	PRON
ejpam-6505	433	33	interface	interface	NOUN
ejpam-6505	433	34	,	,	PUNCT
ejpam-6505	433	35	while	while	SCONJ
ejpam-6505	433	36	f	f	PROPN
ejpam-6505	433	37	∗	∗	VERB
ejpam-6505	433	38	ph	ph	NOUN
ejpam-6505	433	39	drops	drop	NOUN
ejpam-6505	433	40	because	because	SCONJ
ejpam-6505	433	41	the	the	DET
ejpam-6505	433	42	same	same	ADJ
ejpam-6505	433	43	poor	poor	ADJ
ejpam-6505	433	44	conductivity	conductivity	NOUN
ejpam-6505	433	45	prevents	prevent	NOUN
ejpam-6505	433	46	internally	internally	ADV
ejpam-6505	433	47	generated	generate	VERB
ejpam-6505	433	48	heat	heat	NOUN
ejpam-6505	433	49	from	from	ADP
ejpam-6505	433	50	creating	create	VERB
ejpam-6505	433	51	an	an	DET
ejpam-6505	433	52	effective	effective	ADJ
ejpam-6505	433	53	interfacial	interfacial	ADJ
ejpam-6505	433	54	gradient	gradient	NOUN
ejpam-6505	433	55	.	.	PUNCT
ejpam-6505	434	1	the	the	DET
ejpam-6505	434	2	permeability	permeability	NOUN
ejpam-6505	434	3	parameter	parameter	NOUN
ejpam-6505	434	4	α	α	PRON
ejpam-6505	434	5	primarily	primarily	ADV
ejpam-6505	434	6	impacts	impact	VERB
ejpam-6505	434	7	f	f	PROPN
ejpam-6505	434	8	∗	∗	NOUN
ejpam-6505	434	9	ph	ph	PROPN
ejpam-6505	434	10	,	,	PUNCT
ejpam-6505	434	11	where	where	SCONJ
ejpam-6505	434	12	increasing	increase	VERB
ejpam-6505	434	13	α	α	X
ejpam-6505	434	14	(	(	PUNCT
ejpam-6505	434	15	from	from	ADP
ejpam-6505	434	16	0	0	NUM
ejpam-6505	434	17	to	to	PART
ejpam-6505	434	18	10	10	NUM
ejpam-6505	434	19	)	)	PUNCT
ejpam-6505	434	20	significantly	significantly	ADV
ejpam-6505	434	21	enhances	enhance	VERB
ejpam-6505	434	22	f	f	PROPN
ejpam-6505	434	23	∗	∗	NOUN
ejpam-6505	434	24	ph	ph	VERB
ejpam-6505	434	25	,	,	PUNCT
ejpam-6505	434	26	likely	likely	ADJ
ejpam-6505	434	27	due	due	ADJ
ejpam-6505	434	28	to	to	ADP
ejpam-6505	434	29	improved	improve	VERB
ejpam-6505	434	30	internal	internal	ADJ
ejpam-6505	434	31	convective	convective	ADJ
ejpam-6505	434	32	heat	heat	NOUN
ejpam-6505	434	33	transfer	transfer	NOUN
ejpam-6505	434	34	which	which	PRON
ejpam-6505	434	35	aids	aid	VERB
ejpam-6505	434	36	in	in	ADP
ejpam-6505	434	37	establishing	establish	VERB
ejpam-6505	434	38	stronger	strong	ADJ
ejpam-6505	434	39	interfacial	interfacial	ADJ
ejpam-6505	434	40	temperature	temperature	NOUN
ejpam-6505	434	41	gradients	gradient	NOUN
ejpam-6505	434	42	from	from	ADP
ejpam-6505	434	43	the	the	DET
ejpam-6505	434	44	absorbed	absorb	VERB
ejpam-6505	434	45	light	light	NOUN
ejpam-6505	434	46	;	;	PUNCT
ejpam-6505	434	47	while	while	SCONJ
ejpam-6505	434	48	its	its	PRON
ejpam-6505	434	49	impact	impact	NOUN
ejpam-6505	434	50	on	on	ADP
ejpam-6505	434	51	f	f	PROPN
ejpam-6505	434	52	∗	∗	PROPN
ejpam-6505	434	53	t	t	PROPN
ejpam-6505	434	54	is	be	AUX
ejpam-6505	434	55	less	less	ADV
ejpam-6505	434	56	direct	direct	ADJ
ejpam-6505	434	57	unless	unless	SCONJ
ejpam-6505	434	58	it	it	PRON
ejpam-6505	434	59	significantly	significantly	ADV
ejpam-6505	434	60	alters	alter	VERB
ejpam-6505	434	61	the	the	DET
ejpam-6505	434	62	bulk	bulk	ADJ
ejpam-6505	434	63	effective	effective	ADJ
ejpam-6505	434	64	thermal	thermal	ADJ
ejpam-6505	434	65	conductivity	conductivity	NOUN
ejpam-6505	434	66	.	.	PUNCT
ejpam-6505	435	1	notably	notably	ADV
ejpam-6505	435	2	,	,	PUNCT
ejpam-6505	435	3	f	f	PROPN
ejpam-6505	435	4	∗	∗	NOUN
ejpam-6505	435	5	ph	ph	PROPN
ejpam-6505	435	6	generally	generally	ADV
ejpam-6505	435	7	achieves	achieve	VERB
ejpam-6505	435	8	considerably	considerably	ADV
ejpam-6505	435	9	larger	large	ADJ
ejpam-6505	435	10	magnitudes	magnitude	NOUN
ejpam-6505	435	11	than	than	ADP
ejpam-6505	435	12	f	f	PROPN
ejpam-6505	435	13	∗	∗	NOUN
ejpam-6505	435	14	t	t	PROPN
ejpam-6505	435	15	,	,	PUNCT
ejpam-6505	435	16	particularly	particularly	ADV
ejpam-6505	435	17	at	at	ADP
ejpam-6505	435	18	lower	low	ADJ
ejpam-6505	435	19	σ	σ	NOUN
ejpam-6505	435	20	and	and	CCONJ
ejpam-6505	435	21	higher	high	ADJ
ejpam-6505	435	22	α	α	NOUN
ejpam-6505	435	23	,	,	PUNCT
ejpam-6505	435	24	highlighting	highlight	VERB
ejpam-6505	435	25	the	the	DET
ejpam-6505	435	26	potential	potential	NOUN
ejpam-6505	435	27	for	for	ADP
ejpam-6505	435	28	internal	internal	ADJ
ejpam-6505	435	29	light	light	ADJ
ejpam-6505	435	30	absorption	absorption	NOUN
ejpam-6505	435	31	,	,	PUNCT
ejpam-6505	435	32	aided	aid	VERB
ejpam-6505	435	33	by	by	ADP
ejpam-6505	435	34	permeability	permeability	NOUN
ejpam-6505	435	35	,	,	PUNCT
ejpam-6505	435	36	to	to	PART
ejpam-6505	435	37	generate	generate	VERB
ejpam-6505	435	38	more	more	ADV
ejpam-6505	435	39	potent	potent	ADJ
ejpam-6505	435	40	marangoni	marangoni	NOUN
ejpam-6505	435	41	propulsion	propulsion	NOUN
ejpam-6505	435	42	than	than	ADP
ejpam-6505	435	43	external	external	ADJ
ejpam-6505	435	44	thermal	thermal	ADJ
ejpam-6505	435	45	fields	field	NOUN
ejpam-6505	435	46	,	,	PUNCT
ejpam-6505	435	47	though	though	SCONJ
ejpam-6505	435	48	this	this	DET
ejpam-6505	435	49	advantage	advantage	NOUN
ejpam-6505	435	50	diminishes	diminish	VERB
ejpam-6505	435	51	significantly	significantly	ADV
ejpam-6505	435	52	when	when	SCONJ
ejpam-6505	435	53	the	the	DET
ejpam-6505	435	54	droplet	droplet	ADJ
ejpam-6505	435	55	’s	’s	PART
ejpam-6505	435	56	thermal	thermal	ADJ
ejpam-6505	435	57	conductivity	conductivity	NOUN
ejpam-6505	435	58	k	k	X
ejpam-6505	435	59	is	be	AUX
ejpam-6505	435	60	extremely	extremely	ADV
ejpam-6505	435	61	low	low	ADJ
ejpam-6505	435	62	.	.	PUNCT
ejpam-6505	436	1	6	6	X
ejpam-6505	436	2	.	.	X
ejpam-6505	436	3	conclusion	conclusion	NOUN
ejpam-6505	436	4	in	in	ADP
ejpam-6505	436	5	conclusion	conclusion	NOUN
ejpam-6505	436	6	,	,	PUNCT
ejpam-6505	436	7	this	this	DET
ejpam-6505	436	8	investigation	investigation	NOUN
ejpam-6505	436	9	delineates	delineate	VERB
ejpam-6505	436	10	the	the	DET
ejpam-6505	436	11	fundamentally	fundamentally	ADV
ejpam-6505	436	12	divergent	divergent	ADJ
ejpam-6505	436	13	behaviors	behavior	NOUN
ejpam-6505	436	14	of	of	ADP
ejpam-6505	436	15	thermocapillary	thermocapillary	ADJ
ejpam-6505	436	16	and	and	CCONJ
ejpam-6505	436	17	photocapillary	photocapillary	ADJ
ejpam-6505	436	18	droplet	droplet	ADJ
ejpam-6505	436	19	migration	migration	NOUN
ejpam-6505	436	20	within	within	ADP
ejpam-6505	436	21	a	a	DET
ejpam-6505	436	22	saturated	saturated	ADJ
ejpam-6505	436	23	porous	porous	ADJ
ejpam-6505	436	24	matrix	matrix	NOUN
ejpam-6505	436	25	,	,	PUNCT
ejpam-6505	436	26	establishing	establish	VERB
ejpam-6505	436	27	a	a	DET
ejpam-6505	436	28	predictive	predictive	ADJ
ejpam-6505	436	29	analytical	analytical	ADJ
ejpam-6505	436	30	framework	framework	NOUN
ejpam-6505	436	31	based	base	VERB
ejpam-6505	436	32	on	on	ADP
ejpam-6505	436	33	the	the	DET
ejpam-6505	436	34	brinkman	brinkman	PROPN
ejpam-6505	436	35	equation	equation	NOUN
ejpam-6505	436	36	.	.	PUNCT
ejpam-6505	437	1	our	our	PRON
ejpam-6505	437	2	analysis	analysis	NOUN
ejpam-6505	437	3	rigorously	rigorously	ADV
ejpam-6505	437	4	demonstrates	demonstrate	VERB
ejpam-6505	437	5	that	that	SCONJ
ejpam-6505	437	6	the	the	DET
ejpam-6505	437	7	externally	externally	ADV
ejpam-6505	437	8	-	-	PUNCT
ejpam-6505	437	9	driven	drive	VERB
ejpam-6505	437	10	thermocapillary	thermocapillary	ADJ
ejpam-6505	437	11	velocity	velocity	NOUN
ejpam-6505	437	12	u∗	u∗	PROPN
ejpam-6505	437	13	t	t	PROPN
ejpam-6505	437	14	is	be	AUX
ejpam-6505	437	15	invariably	invariably	ADV
ejpam-6505	437	16	attenuated	attenuate	VERB
ejpam-6505	437	17	by	by	ADP
ejpam-6505	437	18	increasing	increase	VERB
ejpam-6505	437	19	matrix	matrix	NOUN
ejpam-6505	437	20	resistance	resistance	NOUN
ejpam-6505	437	21	(	(	PUNCT
ejpam-6505	437	22	permeability	permeability	NOUN
ejpam-6505	437	23	parameter	parameter	NOUN
ejpam-6505	437	24	α	α	NOUN
ejpam-6505	437	25	)	)	PUNCT
ejpam-6505	437	26	,	,	PUNCT
ejpam-6505	437	27	dropletto	dropletto	ADJ
ejpam-6505	437	28	-	-	PUNCT
ejpam-6505	437	29	medium	medium	NOUN
ejpam-6505	437	30	thermal	thermal	ADJ
ejpam-6505	437	31	conductivity	conductivity	NOUN
ejpam-6505	437	32	ratio	ratio	NOUN
ejpam-6505	437	33	k	k	PROPN
ejpam-6505	437	34	,	,	PUNCT
ejpam-6505	437	35	and	and	CCONJ
ejpam-6505	437	36	viscosity	viscosity	NOUN
ejpam-6505	437	37	ratio	ratio	NOUN
ejpam-6505	437	38	σ	σ	PROPN
ejpam-6505	437	39	attributable	attributable	ADJ
ejpam-6505	437	40	respectively	respectively	ADV
ejpam-6505	437	41	to	to	ADP
ejpam-6505	437	42	a.	a.	PROPN
ejpam-6505	437	43	s.	s.	PROPN
ejpam-6505	437	44	aamer	aamer	PROPN
ejpam-6505	437	45	,	,	PUNCT
ejpam-6505	437	46	b.	b.	PROPN
ejpam-6505	437	47	a.	a.	PROPN
ejpam-6505	437	48	ahmed	ahmed	PROPN
ejpam-6505	437	49	,	,	PUNCT
ejpam-6505	437	50	s.	s.	PROPN
ejpam-6505	437	51	a.	a.	PROPN
ejpam-6505	437	52	mahrous	mahrous	PROPN
ejpam-6505	437	53	/	/	SYM
ejpam-6505	437	54	eur	eur	PROPN
ejpam-6505	437	55	.	.	PUNCT
ejpam-6505	438	1	j.	j.	PROPN
ejpam-6505	438	2	pure	pure	PROPN
ejpam-6505	438	3	appl	appl	PROPN
ejpam-6505	438	4	.	.	PROPN
ejpam-6505	438	5	math	math	PROPN
ejpam-6505	438	6	,	,	PUNCT
ejpam-6505	438	7	18	18	NUM
ejpam-6505	438	8	(	(	PUNCT
ejpam-6505	438	9	3	3	NUM
ejpam-6505	438	10	)	)	PUNCT
ejpam-6505	438	11	(	(	PUNCT
ejpam-6505	438	12	2025	2025	NUM
ejpam-6505	438	13	)	)	PUNCT
ejpam-6505	438	14	,	,	PUNCT
ejpam-6505	438	15	6505	6505	NUM
ejpam-6505	438	16	of	of	ADP
ejpam-6505	438	17	intensified	intensify	VERB
ejpam-6505	438	18	darcy	darcy	PROPN
ejpam-6505	438	19	drag	drag	PROPN
ejpam-6505	438	20	,	,	PUNCT
ejpam-6505	438	21	interfacial	interfacial	ADJ
ejpam-6505	438	22	thermal	thermal	ADJ
ejpam-6505	438	23	homogenization	homogenization	NOUN
ejpam-6505	438	24	that	that	PRON
ejpam-6505	438	25	erodes	erode	VERB
ejpam-6505	438	26	the	the	DET
ejpam-6505	438	27	driving	drive	VERB
ejpam-6505	438	28	gradient	gradient	NOUN
ejpam-6505	438	29	,	,	PUNCT
ejpam-6505	438	30	and	and	CCONJ
ejpam-6505	438	31	heightened	heighten	VERB
ejpam-6505	438	32	internal	internal	ADJ
ejpam-6505	438	33	viscous	viscous	ADJ
ejpam-6505	438	34	dissipation	dissipation	NOUN
ejpam-6505	438	35	.	.	PUNCT
ejpam-6505	439	1	significantly	significantly	ADV
ejpam-6505	439	2	,	,	PUNCT
ejpam-6505	439	3	we	we	PRON
ejpam-6505	439	4	reveal	reveal	VERB
ejpam-6505	439	5	that	that	SCONJ
ejpam-6505	439	6	high	high	ADJ
ejpam-6505	439	7	matrix	matrix	NOUN
ejpam-6505	439	8	resistance	resistance	NOUN
ejpam-6505	439	9	not	not	PART
ejpam-6505	439	10	only	only	ADV
ejpam-6505	439	11	severely	severely	ADV
ejpam-6505	439	12	suppresses	suppress	VERB
ejpam-6505	439	13	u∗	u∗	ADJ
ejpam-6505	439	14	t	t	PROPN
ejpam-6505	439	15	but	but	CCONJ
ejpam-6505	439	16	also	also	ADV
ejpam-6505	439	17	diminishes	diminish	VERB
ejpam-6505	439	18	its	its	PRON
ejpam-6505	439	19	sensitivity	sensitivity	NOUN
ejpam-6505	439	20	to	to	ADP
ejpam-6505	439	21	viscosity	viscosity	VERB
ejpam-6505	439	22	by	by	ADP
ejpam-6505	439	23	effectively	effectively	ADV
ejpam-6505	439	24	immobilizing	immobilize	VERB
ejpam-6505	439	25	the	the	DET
ejpam-6505	439	26	interface	interface	NOUN
ejpam-6505	439	27	and	and	CCONJ
ejpam-6505	439	28	promoting	promote	VERB
ejpam-6505	439	29	internal	internal	ADJ
ejpam-6505	439	30	thermal	thermal	ADJ
ejpam-6505	439	31	equilibration	equilibration	NOUN
ejpam-6505	439	32	.	.	PUNCT
ejpam-6505	440	1	in	in	ADP
ejpam-6505	440	2	stark	stark	ADJ
ejpam-6505	440	3	contrast	contrast	NOUN
ejpam-6505	440	4	,	,	PUNCT
ejpam-6505	440	5	while	while	SCONJ
ejpam-6505	440	6	the	the	DET
ejpam-6505	440	7	internally	internally	ADV
ejpam-6505	440	8	-	-	PUNCT
ejpam-6505	440	9	driven	drive	VERB
ejpam-6505	440	10	photocapillary	photocapillary	ADJ
ejpam-6505	440	11	velocity	velocity	NOUN
ejpam-6505	440	12	u∗	u∗	ADJ
ejpam-6505	440	13	ph	ph	NOUN
ejpam-6505	440	14	is	be	AUX
ejpam-6505	440	15	similarly	similarly	ADV
ejpam-6505	440	16	retarded	retard	VERB
ejpam-6505	440	17	by	by	ADP
ejpam-6505	440	18	matrix	matrix	NOUN
ejpam-6505	440	19	resistance	resistance	NOUN
ejpam-6505	440	20	and	and	CCONJ
ejpam-6505	440	21	high	high	ADJ
ejpam-6505	440	22	internal	internal	ADJ
ejpam-6505	440	23	viscosity	viscosity	NOUN
ejpam-6505	440	24	,	,	PUNCT
ejpam-6505	440	25	its	its	PRON
ejpam-6505	440	26	propulsive	propulsive	ADJ
ejpam-6505	440	27	mechanism	mechanism	NOUN
ejpam-6505	440	28	is	be	AUX
ejpam-6505	440	29	critically	critically	ADV
ejpam-6505	440	30	predicated	predicate	VERB
ejpam-6505	440	31	on	on	ADP
ejpam-6505	440	32	the	the	DET
ejpam-6505	440	33	droplet	droplet	NOUN
ejpam-6505	440	34	’s	’s	PART
ejpam-6505	440	35	ability	ability	NOUN
ejpam-6505	440	36	to	to	PART
ejpam-6505	440	37	establish	establish	VERB
ejpam-6505	440	38	its	its	PRON
ejpam-6505	440	39	own	own	ADJ
ejpam-6505	440	40	interfacial	interfacial	ADJ
ejpam-6505	440	41	thermal	thermal	ADJ
ejpam-6505	440	42	gradient	gradient	NOUN
ejpam-6505	440	43	.	.	PUNCT
ejpam-6505	441	1	consequently	consequently	ADV
ejpam-6505	441	2	,	,	PUNCT
ejpam-6505	441	3	the	the	DET
ejpam-6505	441	4	associated	associated	ADJ
ejpam-6505	441	5	photocapillary	photocapillary	ADJ
ejpam-6505	441	6	force	force	PROPN
ejpam-6505	441	7	f	f	PROPN
ejpam-6505	441	8	∗	∗	NOUN
ejpam-6505	441	9	ph	ph	PROPN
ejpam-6505	441	10	is	be	AUX
ejpam-6505	441	11	extinguished	extinguish	VERB
ejpam-6505	441	12	at	at	ADP
ejpam-6505	441	13	low	low	ADJ
ejpam-6505	441	14	thermal	thermal	ADJ
ejpam-6505	441	15	conductivity	conductivity	NOUN
ejpam-6505	441	16	ratios	ratio	NOUN
ejpam-6505	442	1	k	k	X
ejpam-6505	442	2	<	<	X
ejpam-6505	442	3	<	<	X
ejpam-6505	442	4	1	1	NUM
ejpam-6505	442	5	where	where	SCONJ
ejpam-6505	442	6	internal	internal	ADJ
ejpam-6505	442	7	heat	heat	NOUN
ejpam-6505	442	8	distribution	distribution	NOUN
ejpam-6505	442	9	is	be	AUX
ejpam-6505	442	10	ineffectual	ineffectual	ADJ
ejpam-6505	442	11	.	.	PUNCT
ejpam-6505	443	1	this	this	PRON
ejpam-6505	443	2	establishes	establish	VERB
ejpam-6505	443	3	a	a	DET
ejpam-6505	443	4	key	key	ADJ
ejpam-6505	443	5	mechanistic	mechanistic	ADJ
ejpam-6505	443	6	dichotomy	dichotomy	NOUN
ejpam-6505	443	7	:	:	PUNCT
ejpam-6505	443	8	whereas	whereas	SCONJ
ejpam-6505	443	9	the	the	DET
ejpam-6505	443	10	thermocapillary	thermocapillary	ADJ
ejpam-6505	443	11	force	force	NOUN
ejpam-6505	443	12	f	f	PROPN
ejpam-6505	443	13	∗	∗	PROPN
ejpam-6505	443	14	t	t	PROPN
ejpam-6505	443	15	monotonically	monotonically	ADV
ejpam-6505	443	16	weakens	weaken	VERB
ejpam-6505	443	17	with	with	ADP
ejpam-6505	443	18	increasing	increase	VERB
ejpam-6505	443	19	k	k	PROPN
ejpam-6505	443	20	,	,	PUNCT
ejpam-6505	443	21	the	the	DET
ejpam-6505	443	22	photocapillary	photocapillary	ADJ
ejpam-6505	443	23	force	force	NOUN
ejpam-6505	443	24	f	f	PROPN
ejpam-6505	443	25	∗	∗	NOUN
ejpam-6505	443	26	ph	ph	PROPN
ejpam-6505	443	27	exhibits	exhibit	NOUN
ejpam-6505	443	28	a	a	DET
ejpam-6505	443	29	greater	great	ADJ
ejpam-6505	443	30	sensitivity	sensitivity	NOUN
ejpam-6505	443	31	to	to	PART
ejpam-6505	443	32	matrix	matrix	VERB
ejpam-6505	443	33	permeability	permeability	NOUN
ejpam-6505	443	34	,	,	PUNCT
ejpam-6505	443	35	which	which	PRON
ejpam-6505	443	36	modulates	modulate	VERB
ejpam-6505	443	37	the	the	DET
ejpam-6505	443	38	internal	internal	ADJ
ejpam-6505	443	39	convection	convection	NOUN
ejpam-6505	443	40	essential	essential	ADJ
ejpam-6505	443	41	for	for	ADP
ejpam-6505	443	42	distributing	distribute	VERB
ejpam-6505	443	43	absorbed	absorb	VERB
ejpam-6505	443	44	energy	energy	NOUN
ejpam-6505	443	45	,	,	PUNCT
ejpam-6505	443	46	and	and	CCONJ
ejpam-6505	443	47	can	can	AUX
ejpam-6505	443	48	achieve	achieve	VERB
ejpam-6505	443	49	superior	superior	ADJ
ejpam-6505	443	50	magnitudes	magnitude	NOUN
ejpam-6505	443	51	.	.	PUNCT
ejpam-6505	444	1	however	however	ADV
ejpam-6505	444	2	,	,	PUNCT
ejpam-6505	444	3	this	this	DET
ejpam-6505	444	4	potential	potential	ADJ
ejpam-6505	444	5	advantage	advantage	NOUN
ejpam-6505	444	6	is	be	AUX
ejpam-6505	444	7	strictly	strictly	ADV
ejpam-6505	444	8	contingent	contingent	ADJ
ejpam-6505	444	9	upon	upon	SCONJ
ejpam-6505	444	10	sufficient	sufficient	ADJ
ejpam-6505	444	11	droplet	droplet	ADJ
ejpam-6505	444	12	thermal	thermal	ADJ
ejpam-6505	444	13	conductivity	conductivity	NOUN
ejpam-6505	444	14	for	for	ADP
ejpam-6505	444	15	the	the	DET
ejpam-6505	444	16	efficient	efficient	ADJ
ejpam-6505	444	17	conversion	conversion	NOUN
ejpam-6505	444	18	of	of	ADP
ejpam-6505	444	19	absorbed	absorb	VERB
ejpam-6505	444	20	volumetric	volumetric	NOUN
ejpam-6505	444	21	energy	energy	NOUN
ejpam-6505	444	22	into	into	ADP
ejpam-6505	444	23	a	a	DET
ejpam-6505	444	24	potent	potent	ADJ
ejpam-6505	444	25	surface	surface	NOUN
ejpam-6505	444	26	tension	tension	NOUN
ejpam-6505	444	27	gradient	gradient	NOUN
ejpam-6505	444	28	.	.	PUNCT
ejpam-6505	445	1	ultimately	ultimately	ADV
ejpam-6505	445	2	,	,	PUNCT
ejpam-6505	445	3	this	this	DET
ejpam-6505	445	4	research	research	NOUN
ejpam-6505	445	5	provides	provide	VERB
ejpam-6505	445	6	a	a	DET
ejpam-6505	445	7	comprehensive	comprehensive	ADJ
ejpam-6505	445	8	framework	framework	NOUN
ejpam-6505	445	9	detailing	detail	VERB
ejpam-6505	445	10	the	the	DET
ejpam-6505	445	11	intricate	intricate	ADJ
ejpam-6505	445	12	interplay	interplay	NOUN
ejpam-6505	445	13	between	between	ADP
ejpam-6505	445	14	porous	porous	ADJ
ejpam-6505	445	15	confinement	confinement	NOUN
ejpam-6505	445	16	,	,	PUNCT
ejpam-6505	445	17	thermophysical	thermophysical	ADJ
ejpam-6505	445	18	properties	property	NOUN
ejpam-6505	445	19	,	,	PUNCT
ejpam-6505	445	20	and	and	CCONJ
ejpam-6505	445	21	the	the	DET
ejpam-6505	445	22	locus	locus	NOUN
ejpam-6505	445	23	of	of	ADP
ejpam-6505	445	24	the	the	DET
ejpam-6505	445	25	thermal	thermal	ADJ
ejpam-6505	445	26	stimulus	stimulus	NOUN
ejpam-6505	445	27	,	,	PUNCT
ejpam-6505	445	28	offering	offer	VERB
ejpam-6505	445	29	foundational	foundational	ADJ
ejpam-6505	445	30	principles	principle	NOUN
ejpam-6505	445	31	for	for	ADP
ejpam-6505	445	32	the	the	DET
ejpam-6505	445	33	design	design	NOUN
ejpam-6505	445	34	and	and	CCONJ
ejpam-6505	445	35	control	control	NOUN
ejpam-6505	445	36	of	of	ADP
ejpam-6505	445	37	marangoni	marangoni	NOUN
ejpam-6505	445	38	-	-	PUNCT
ejpam-6505	445	39	actuated	actuate	VERB
ejpam-6505	445	40	transport	transport	NOUN
ejpam-6505	445	41	in	in	ADP
ejpam-6505	445	42	complex	complex	ADJ
ejpam-6505	445	43	multiphase	multiphase	NOUN
ejpam-6505	445	44	systems	system	NOUN
ejpam-6505	445	45	.	.	PUNCT
ejpam-6505	446	1	7	7	X
ejpam-6505	446	2	.	.	X
ejpam-6505	446	3	conflict	conflict	NOUN
ejpam-6505	446	4	of	of	ADP
ejpam-6505	446	5	interest	interest	NOUN
ejpam-6505	446	6	we	we	PRON
ejpam-6505	446	7	have	have	VERB
ejpam-6505	446	8	no	no	DET
ejpam-6505	446	9	conflict	conflict	NOUN
ejpam-6505	446	10	of	of	ADP
ejpam-6505	446	11	interest	interest	NOUN
ejpam-6505	446	12	to	to	PART
ejpam-6505	446	13	declare	declare	VERB
ejpam-6505	446	14	.	.	PUNCT
ejpam-6505	447	1	references	reference	NOUN
ejpam-6505	447	2	[	[	X
ejpam-6505	447	3	1	1	NUM
ejpam-6505	447	4	]	]	PUNCT
ejpam-6505	447	5	l.	l.	PROPN
ejpam-6505	447	6	zhang	zhang	PROPN
ejpam-6505	447	7	,	,	PUNCT
ejpam-6505	447	8	r.s	r.s	PROPN
ejpam-6505	447	9	.	.	PROPN
ejpam-6505	447	10	subramanian	subramanian	PROPN
ejpam-6505	447	11	,	,	PUNCT
ejpam-6505	447	12	and	and	CCONJ
ejpam-6505	447	13	r.	r.	PROPN
ejpam-6505	447	14	balasubramaniam	balasubramaniam	PROPN
ejpam-6505	447	15	.	.	PUNCT
ejpam-6505	448	1	motion	motion	NOUN
ejpam-6505	448	2	of	of	ADP
ejpam-6505	448	3	a	a	DET
ejpam-6505	448	4	drop	drop	NOUN
ejpam-6505	448	5	in	in	ADP
ejpam-6505	448	6	a	a	DET
ejpam-6505	448	7	vertical	vertical	ADJ
ejpam-6505	448	8	temperature	temperature	NOUN
ejpam-6505	448	9	gradient	gradient	NOUN
ejpam-6505	448	10	at	at	ADP
ejpam-6505	448	11	small	small	ADJ
ejpam-6505	448	12	marangoni	marangoni	NOUN
ejpam-6505	448	13	number	number	NOUN
ejpam-6505	448	14	–	–	PUNCT
ejpam-6505	448	15	the	the	DET
ejpam-6505	448	16	critical	critical	ADJ
ejpam-6505	448	17	role	role	NOUN
ejpam-6505	448	18	of	of	ADP
ejpam-6505	448	19	inertia	inertia	NOUN
ejpam-6505	448	20	.	.	PUNCT
ejpam-6505	449	1	journal	journal	NOUN
ejpam-6505	449	2	of	of	ADP
ejpam-6505	449	3	fluid	fluid	ADJ
ejpam-6505	449	4	mechanics	mechanic	NOUN
ejpam-6505	449	5	,	,	PUNCT
ejpam-6505	449	6	448:197–211	448:197–211	NUM
ejpam-6505	449	7	,	,	PUNCT
ejpam-6505	449	8	2001	2001	NUM
ejpam-6505	449	9	.	.	PUNCT
ejpam-6505	450	1	[	[	X
ejpam-6505	450	2	2	2	X
ejpam-6505	450	3	]	]	PUNCT
ejpam-6505	450	4	p.-g	p.-g	PROPN
ejpam-6505	450	5	.	.	PUNCT
ejpam-6505	451	1	de	de	ADP
ejpam-6505	451	2	gennes	genne	NOUN
ejpam-6505	451	3	,	,	PUNCT
ejpam-6505	451	4	f.	f.	PROPN
ejpam-6505	451	5	brochard	brochard	PROPN
ejpam-6505	451	6	-	-	PUNCT
ejpam-6505	451	7	wyart	wyart	NOUN
ejpam-6505	451	8	,	,	PUNCT
ejpam-6505	451	9	and	and	CCONJ
ejpam-6505	451	10	d.	d.	PROPN
ejpam-6505	451	11	quéré.	quéré.	PROPN
ejpam-6505	451	12	capillarity	capillarity	PROPN
ejpam-6505	451	13	and	and	CCONJ
ejpam-6505	451	14	wetting	wet	VERB
ejpam-6505	451	15	phenomena	phenomenon	NOUN
ejpam-6505	451	16	:	:	PUNCT
ejpam-6505	451	17	drops	drop	NOUN
ejpam-6505	451	18	,	,	PUNCT
ejpam-6505	451	19	bubbles	bubble	NOUN
ejpam-6505	451	20	,	,	PUNCT
ejpam-6505	451	21	pearls	pearl	NOUN
ejpam-6505	451	22	,	,	PUNCT
ejpam-6505	451	23	waves	wave	NOUN
ejpam-6505	451	24	.	.	PUNCT
ejpam-6505	452	1	2003	2003	NUM
ejpam-6505	452	2	.	.	PUNCT
ejpam-6505	453	1	[	[	X
ejpam-6505	453	2	3	3	NUM
ejpam-6505	453	3	]	]	PUNCT
ejpam-6505	453	4	a.	a.	NOUN
ejpam-6505	453	5	ebrahimi	ebrahimi	PROPN
ejpam-6505	453	6	,	,	PUNCT
ejpam-6505	453	7	y.	y.	PROPN
ejpam-6505	453	8	kazemzadeh	kazemzadeh	PROPN
ejpam-6505	453	9	,	,	PUNCT
ejpam-6505	453	10	and	and	CCONJ
ejpam-6505	453	11	a.	a.	NOUN
ejpam-6505	453	12	akbari	akbari	PROPN
ejpam-6505	453	13	.	.	PUNCT
ejpam-6505	453	14	impact	impact	NOUN
ejpam-6505	453	15	of	of	ADP
ejpam-6505	453	16	the	the	DET
ejpam-6505	453	17	marangoni	marangoni	NOUN
ejpam-6505	453	18	phenomenon	phenomenon	NOUN
ejpam-6505	453	19	on	on	ADP
ejpam-6505	453	20	the	the	DET
ejpam-6505	453	21	different	different	ADJ
ejpam-6505	453	22	enhanced	enhanced	ADJ
ejpam-6505	453	23	oil	oil	NOUN
ejpam-6505	453	24	recovery	recovery	NOUN
ejpam-6505	453	25	methods	method	NOUN
ejpam-6505	453	26	.	.	PUNCT
ejpam-6505	454	1	heliyon	heliyon	NOUN
ejpam-6505	454	2	,	,	PUNCT
ejpam-6505	454	3	10(21):e39919	10(21):e39919	NUM
ejpam-6505	454	4	,	,	PUNCT
ejpam-6505	454	5	2024	2024	NUM
ejpam-6505	454	6	.	.	PUNCT
ejpam-6505	455	1	[	[	X
ejpam-6505	455	2	4	4	NUM
ejpam-6505	455	3	]	]	X
ejpam-6505	455	4	r.s	r.s	PROPN
ejpam-6505	455	5	.	.	PROPN
ejpam-6505	455	6	subramanian	subramanian	PROPN
ejpam-6505	455	7	,	,	PUNCT
ejpam-6505	455	8	r.	r.	PROPN
ejpam-6505	455	9	balasubramaniam	balasubramaniam	PROPN
ejpam-6505	455	10	,	,	PUNCT
ejpam-6505	455	11	and	and	CCONJ
ejpam-6505	455	12	n.	n.	PROPN
ejpam-6505	455	13	clark	clark	PROPN
ejpam-6505	455	14	.	.	PUNCT
ejpam-6505	456	1	motion	motion	NOUN
ejpam-6505	456	2	of	of	ADP
ejpam-6505	456	3	bubbles	bubble	NOUN
ejpam-6505	456	4	and	and	CCONJ
ejpam-6505	456	5	drops	drop	NOUN
ejpam-6505	456	6	in	in	ADP
ejpam-6505	456	7	reduced	reduced	ADJ
ejpam-6505	456	8	gravity	gravity	NOUN
ejpam-6505	456	9	.	.	PUNCT
ejpam-6505	457	1	appl	appl	PROPN
ejpam-6505	457	2	.	.	PROPN
ejpam-6505	457	3	mech	mech	PROPN
ejpam-6505	457	4	.	.	PUNCT
ejpam-6505	458	1	rev	rev	PROPN
ejpam-6505	458	2	.	.	PROPN
ejpam-6505	458	3	,	,	PUNCT
ejpam-6505	458	4	55(3):b56	55(3):b56	NUM
ejpam-6505	458	5	–	–	PUNCT
ejpam-6505	458	6	b57	b57	NOUN
ejpam-6505	458	7	,	,	PUNCT
ejpam-6505	458	8	2002	2002	NUM
ejpam-6505	458	9	.	.	PUNCT
ejpam-6505	459	1	[	[	X
ejpam-6505	459	2	5	5	X
ejpam-6505	459	3	]	]	PUNCT
ejpam-6505	459	4	b.	b.	PROPN
ejpam-6505	459	5	selva	selva	PROPN
ejpam-6505	459	6	,	,	PUNCT
ejpam-6505	459	7	i.	i.	PROPN
ejpam-6505	459	8	cantat	cantat	PROPN
ejpam-6505	459	9	,	,	PUNCT
ejpam-6505	459	10	and	and	CCONJ
ejpam-6505	459	11	m.-c	m.-c	NOUN
ejpam-6505	459	12	.	.	PUNCT
ejpam-6505	460	1	jullien	jullien	PROPN
ejpam-6505	460	2	.	.	PUNCT
ejpam-6505	461	1	temperature	temperature	NOUN
ejpam-6505	461	2	-	-	PUNCT
ejpam-6505	461	3	induced	induce	VERB
ejpam-6505	461	4	migration	migration	NOUN
ejpam-6505	461	5	of	of	ADP
ejpam-6505	461	6	a	a	DET
ejpam-6505	461	7	bubble	bubble	NOUN
ejpam-6505	461	8	in	in	ADP
ejpam-6505	461	9	a	a	DET
ejpam-6505	461	10	soft	soft	ADJ
ejpam-6505	461	11	microcavity	microcavity	NOUN
ejpam-6505	461	12	.	.	PUNCT
ejpam-6505	462	1	physics	physics	PROPN
ejpam-6505	462	2	of	of	ADP
ejpam-6505	462	3	fluids	fluid	NOUN
ejpam-6505	462	4	,	,	PUNCT
ejpam-6505	462	5	23(5	23(5	NUM
ejpam-6505	462	6	)	)	PUNCT
ejpam-6505	462	7	,	,	PUNCT
ejpam-6505	462	8	2011	2011	NUM
ejpam-6505	462	9	.	.	PUNCT
ejpam-6505	463	1	[	[	X
ejpam-6505	463	2	6	6	NUM
ejpam-6505	463	3	]	]	X
ejpam-6505	463	4	n.	n.	PROPN
ejpam-6505	463	5	young	young	PROPN
ejpam-6505	463	6	,	,	PUNCT
ejpam-6505	463	7	j.s	j.s	PROPN
ejpam-6505	463	8	.	.	PROPN
ejpam-6505	463	9	goldstein	goldstein	PROPN
ejpam-6505	463	10	,	,	PUNCT
ejpam-6505	463	11	and	and	CCONJ
ejpam-6505	463	12	m.	m.	NOUN
ejpam-6505	463	13	block	block	NOUN
ejpam-6505	463	14	.	.	PUNCT
ejpam-6505	464	1	the	the	DET
ejpam-6505	464	2	motion	motion	NOUN
ejpam-6505	464	3	of	of	ADP
ejpam-6505	464	4	bubbles	bubble	NOUN
ejpam-6505	464	5	in	in	ADP
ejpam-6505	464	6	a	a	DET
ejpam-6505	464	7	vertical	vertical	ADJ
ejpam-6505	464	8	temperature	temperature	NOUN
ejpam-6505	464	9	gradient	gradient	NOUN
ejpam-6505	464	10	.	.	PUNCT
ejpam-6505	465	1	journal	journal	NOUN
ejpam-6505	465	2	of	of	ADP
ejpam-6505	465	3	fluid	fluid	ADJ
ejpam-6505	465	4	mechanics	mechanic	NOUN
ejpam-6505	465	5	,	,	PUNCT
ejpam-6505	465	6	6(3):350–356	6(3):350–356	NUM
ejpam-6505	465	7	,	,	PUNCT
ejpam-6505	465	8	1959	1959	NUM
ejpam-6505	465	9	.	.	PUNCT
ejpam-6505	466	1	[	[	X
ejpam-6505	466	2	7	7	X
ejpam-6505	466	3	]	]	PUNCT
ejpam-6505	466	4	m.	m.	NOUN
ejpam-6505	466	5	meyyappan	meyyappan	PROPN
ejpam-6505	466	6	,	,	PUNCT
ejpam-6505	466	7	w.r	w.r	PROPN
ejpam-6505	466	8	.	.	PUNCT
ejpam-6505	466	9	wilcox	wilcox	PROPN
ejpam-6505	466	10	,	,	PUNCT
ejpam-6505	466	11	and	and	CCONJ
ejpam-6505	466	12	r.s	r.s	PROPN
ejpam-6505	466	13	.	.	PROPN
ejpam-6505	466	14	subramanian	subramanian	PROPN
ejpam-6505	466	15	.	.	PUNCT
ejpam-6505	467	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	467	2	migration	migration	NOUN
ejpam-6505	467	3	of	of	ADP
ejpam-6505	467	4	a	a	DET
ejpam-6505	467	5	bubble	bubble	NOUN
ejpam-6505	467	6	normal	normal	ADJ
ejpam-6505	467	7	to	to	ADP
ejpam-6505	467	8	a	a	DET
ejpam-6505	467	9	plane	plane	NOUN
ejpam-6505	467	10	surface	surface	NOUN
ejpam-6505	467	11	.	.	PUNCT
ejpam-6505	468	1	journal	journal	PROPN
ejpam-6505	468	2	of	of	ADP
ejpam-6505	468	3	colloid	colloid	NOUN
ejpam-6505	468	4	and	and	CCONJ
ejpam-6505	468	5	interface	interface	NOUN
ejpam-6505	468	6	science	science	NOUN
ejpam-6505	468	7	,	,	PUNCT
ejpam-6505	468	8	83(1):199–208	83(1):199–208	NOUN
ejpam-6505	468	9	,	,	PUNCT
ejpam-6505	468	10	1981	1981	NUM
ejpam-6505	468	11	.	.	PUNCT
ejpam-6505	469	1	a.	a.	PROPN
ejpam-6505	469	2	s.	s.	PROPN
ejpam-6505	469	3	aamer	aamer	PROPN
ejpam-6505	469	4	,	,	PUNCT
ejpam-6505	469	5	b.	b.	PROPN
ejpam-6505	469	6	a.	a.	PROPN
ejpam-6505	469	7	ahmed	ahmed	PROPN
ejpam-6505	469	8	,	,	PUNCT
ejpam-6505	469	9	s.	s.	PROPN
ejpam-6505	469	10	a.	a.	PROPN
ejpam-6505	469	11	mahrous	mahrous	PROPN
ejpam-6505	469	12	/	/	SYM
ejpam-6505	469	13	eur	eur	PROPN
ejpam-6505	469	14	.	.	PUNCT
ejpam-6505	470	1	j.	j.	PROPN
ejpam-6505	470	2	pure	pure	PROPN
ejpam-6505	470	3	appl	appl	PROPN
ejpam-6505	470	4	.	.	PROPN
ejpam-6505	470	5	math	math	PROPN
ejpam-6505	470	6	,	,	PUNCT
ejpam-6505	470	7	18	18	NUM
ejpam-6505	470	8	(	(	PUNCT
ejpam-6505	470	9	3	3	NUM
ejpam-6505	470	10	)	)	PUNCT
ejpam-6505	470	11	(	(	PUNCT
ejpam-6505	470	12	2025	2025	NUM
ejpam-6505	470	13	)	)	PUNCT
ejpam-6505	470	14	,	,	PUNCT
ejpam-6505	470	15	6505	6505	NUM
ejpam-6505	470	16	of	of	ADP
ejpam-6505	470	17	[	[	X
ejpam-6505	470	18	8	8	NUM
ejpam-6505	470	19	]	]	PUNCT
ejpam-6505	470	20	m.	m.	NOUN
ejpam-6505	470	21	meyyappan	meyyappan	PROPN
ejpam-6505	470	22	,	,	PUNCT
ejpam-6505	470	23	w.r	w.r	PROPN
ejpam-6505	470	24	.	.	PUNCT
ejpam-6505	470	25	wilcox	wilcox	PROPN
ejpam-6505	470	26	,	,	PUNCT
ejpam-6505	470	27	and	and	CCONJ
ejpam-6505	470	28	r.s	r.s	PROPN
ejpam-6505	470	29	.	.	PROPN
ejpam-6505	470	30	subramanian	subramanian	PROPN
ejpam-6505	470	31	.	.	PUNCT
ejpam-6505	471	1	the	the	DET
ejpam-6505	471	2	slow	slow	ADJ
ejpam-6505	471	3	axisymmetric	axisymmetric	ADJ
ejpam-6505	471	4	motion	motion	NOUN
ejpam-6505	471	5	of	of	ADP
ejpam-6505	471	6	two	two	NUM
ejpam-6505	471	7	bubbles	bubble	NOUN
ejpam-6505	471	8	in	in	ADP
ejpam-6505	471	9	a	a	DET
ejpam-6505	471	10	thermal	thermal	ADJ
ejpam-6505	471	11	gradient	gradient	NOUN
ejpam-6505	471	12	.	.	PUNCT
ejpam-6505	472	1	journal	journal	PROPN
ejpam-6505	472	2	of	of	ADP
ejpam-6505	472	3	colloid	colloid	NOUN
ejpam-6505	472	4	and	and	CCONJ
ejpam-6505	472	5	interface	interface	NOUN
ejpam-6505	472	6	science	science	NOUN
ejpam-6505	472	7	,	,	PUNCT
ejpam-6505	472	8	94(1):243–257	94(1):243–257	NOUN
ejpam-6505	472	9	,	,	PUNCT
ejpam-6505	472	10	1983	1983	NUM
ejpam-6505	472	11	.	.	PUNCT
ejpam-6505	473	1	[	[	X
ejpam-6505	473	2	9	9	NUM
ejpam-6505	473	3	]	]	X
ejpam-6505	473	4	j.l	j.l	PROPN
ejpam-6505	473	5	.	.	PROPN
ejpam-6505	473	6	anderson	anderson	PROPN
ejpam-6505	473	7	.	.	PUNCT
ejpam-6505	474	1	droplet	droplet	ADJ
ejpam-6505	474	2	interactions	interaction	NOUN
ejpam-6505	474	3	in	in	ADP
ejpam-6505	474	4	thermocapillary	thermocapillary	ADJ
ejpam-6505	474	5	motion	motion	NOUN
ejpam-6505	474	6	.	.	PUNCT
ejpam-6505	475	1	international	international	ADJ
ejpam-6505	475	2	journal	journal	PROPN
ejpam-6505	475	3	of	of	ADP
ejpam-6505	475	4	multiphase	multiphase	PROPN
ejpam-6505	475	5	flow	flow	NOUN
ejpam-6505	475	6	,	,	PUNCT
ejpam-6505	475	7	11(6):813–824	11(6):813–824	NOUN
ejpam-6505	475	8	,	,	PUNCT
ejpam-6505	475	9	1985	1985	NUM
ejpam-6505	475	10	.	.	PUNCT
ejpam-6505	476	1	[	[	X
ejpam-6505	476	2	10	10	NUM
ejpam-6505	476	3	]	]	PUNCT
ejpam-6505	476	4	a.	a.	NOUN
ejpam-6505	476	5	acrivos	acrivos	PROPN
ejpam-6505	476	6	,	,	PUNCT
ejpam-6505	476	7	d.	d.	PROPN
ejpam-6505	476	8	jeffrey	jeffrey	PROPN
ejpam-6505	476	9	,	,	PUNCT
ejpam-6505	476	10	and	and	CCONJ
ejpam-6505	476	11	d.	d.	PROPN
ejpam-6505	476	12	saville	saville	PROPN
ejpam-6505	476	13	.	.	PUNCT
ejpam-6505	477	1	particle	particle	NOUN
ejpam-6505	477	2	migration	migration	NOUN
ejpam-6505	477	3	in	in	ADP
ejpam-6505	477	4	suspensions	suspension	NOUN
ejpam-6505	477	5	by	by	ADP
ejpam-6505	477	6	thermocapillary	thermocapillary	ADJ
ejpam-6505	477	7	or	or	CCONJ
ejpam-6505	477	8	electrophoretic	electrophoretic	ADJ
ejpam-6505	477	9	motion	motion	NOUN
ejpam-6505	477	10	.	.	PUNCT
ejpam-6505	478	1	journal	journal	NOUN
ejpam-6505	478	2	of	of	ADP
ejpam-6505	478	3	fluid	fluid	ADJ
ejpam-6505	478	4	mechanics	mechanic	NOUN
ejpam-6505	478	5	,	,	PUNCT
ejpam-6505	478	6	212:95–110	212:95–110	NUM
ejpam-6505	478	7	,	,	PUNCT
ejpam-6505	478	8	1990	1990	NUM
ejpam-6505	478	9	.	.	PUNCT
ejpam-6505	479	1	[	[	X
ejpam-6505	479	2	11	11	NUM
ejpam-6505	479	3	]	]	X
ejpam-6505	479	4	d.s	d.s	PROPN
ejpam-6505	479	5	.	.	PROPN
ejpam-6505	479	6	morton	morton	PROPN
ejpam-6505	479	7	,	,	PUNCT
ejpam-6505	479	8	r.s	r.s	PROPN
ejpam-6505	479	9	.	.	PROPN
ejpam-6505	479	10	subramanian	subramanian	PROPN
ejpam-6505	479	11	,	,	PUNCT
ejpam-6505	479	12	and	and	CCONJ
ejpam-6505	479	13	r.	r.	PROPN
ejpam-6505	479	14	balasubramaniam	balasubramaniam	PROPN
ejpam-6505	479	15	.	.	PUNCT
ejpam-6505	480	1	the	the	DET
ejpam-6505	480	2	migration	migration	NOUN
ejpam-6505	480	3	of	of	ADP
ejpam-6505	480	4	a	a	DET
ejpam-6505	480	5	compound	compound	NOUN
ejpam-6505	480	6	drop	drop	NOUN
ejpam-6505	480	7	due	due	ADP
ejpam-6505	480	8	to	to	ADP
ejpam-6505	480	9	thermocapillarity	thermocapillarity	NOUN
ejpam-6505	480	10	.	.	PUNCT
ejpam-6505	481	1	physics	physics	PROPN
ejpam-6505	481	2	of	of	ADP
ejpam-6505	481	3	fluids	fluid	NOUN
ejpam-6505	481	4	a	a	DET
ejpam-6505	481	5	:	:	PUNCT
ejpam-6505	481	6	fluid	fluid	ADJ
ejpam-6505	481	7	dynamics	dynamic	NOUN
ejpam-6505	481	8	,	,	PUNCT
ejpam-6505	481	9	2(12):2119–2133	2(12):2119–2133	NUM
ejpam-6505	481	10	,	,	PUNCT
ejpam-6505	481	11	1990	1990	NUM
ejpam-6505	481	12	.	.	PUNCT
ejpam-6505	482	1	[	[	X
ejpam-6505	482	2	12	12	NUM
ejpam-6505	482	3	]	]	X
ejpam-6505	482	4	s.s	s.s	PROPN
ejpam-6505	482	5	.	.	PROPN
ejpam-6505	482	6	sadhal	sadhal	PROPN
ejpam-6505	482	7	.	.	PUNCT
ejpam-6505	483	1	a	a	DET
ejpam-6505	483	2	note	note	NOUN
ejpam-6505	483	3	on	on	ADP
ejpam-6505	483	4	the	the	DET
ejpam-6505	483	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	483	6	migration	migration	NOUN
ejpam-6505	483	7	of	of	ADP
ejpam-6505	483	8	a	a	DET
ejpam-6505	483	9	bubble	bubble	NOUN
ejpam-6505	483	10	normal	normal	ADJ
ejpam-6505	483	11	to	to	ADP
ejpam-6505	483	12	a	a	DET
ejpam-6505	483	13	plane	plane	NOUN
ejpam-6505	483	14	surface	surface	NOUN
ejpam-6505	483	15	.	.	PUNCT
ejpam-6505	484	1	journal	journal	PROPN
ejpam-6505	484	2	of	of	ADP
ejpam-6505	484	3	colloid	colloid	NOUN
ejpam-6505	484	4	and	and	CCONJ
ejpam-6505	484	5	interface	interface	NOUN
ejpam-6505	484	6	science	science	NOUN
ejpam-6505	484	7	,	,	PUNCT
ejpam-6505	484	8	95(1):283–285	95(1):283–285	PROPN
ejpam-6505	484	9	,	,	PUNCT
ejpam-6505	484	10	1983	1983	NUM
ejpam-6505	484	11	.	.	PUNCT
ejpam-6505	485	1	[	[	X
ejpam-6505	485	2	13	13	NUM
ejpam-6505	485	3	]	]	PUNCT
ejpam-6505	485	4	m.	m.	NOUN
ejpam-6505	485	5	meyyappan	meyyappan	NOUN
ejpam-6505	485	6	and	and	CCONJ
ejpam-6505	485	7	r.s	r.s	PROPN
ejpam-6505	485	8	.	.	PROPN
ejpam-6505	485	9	subramanian	subramanian	PROPN
ejpam-6505	485	10	.	.	PUNCT
ejpam-6505	486	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	486	2	migration	migration	NOUN
ejpam-6505	486	3	of	of	ADP
ejpam-6505	486	4	a	a	DET
ejpam-6505	486	5	gas	gas	NOUN
ejpam-6505	486	6	bubble	bubble	NOUN
ejpam-6505	486	7	in	in	ADP
ejpam-6505	486	8	an	an	DET
ejpam-6505	486	9	arbitrary	arbitrary	ADJ
ejpam-6505	486	10	direction	direction	NOUN
ejpam-6505	486	11	with	with	ADP
ejpam-6505	486	12	respect	respect	NOUN
ejpam-6505	486	13	to	to	ADP
ejpam-6505	486	14	a	a	DET
ejpam-6505	486	15	plane	plane	NOUN
ejpam-6505	486	16	surface	surface	NOUN
ejpam-6505	486	17	.	.	PUNCT
ejpam-6505	487	1	journal	journal	PROPN
ejpam-6505	487	2	of	of	ADP
ejpam-6505	487	3	colloid	colloid	NOUN
ejpam-6505	487	4	and	and	CCONJ
ejpam-6505	487	5	interface	interface	NOUN
ejpam-6505	487	6	science	science	NOUN
ejpam-6505	487	7	,	,	PUNCT
ejpam-6505	487	8	115(1):206–219	115(1):206–219	NUM
ejpam-6505	487	9	,	,	PUNCT
ejpam-6505	487	10	1987	1987	NUM
ejpam-6505	487	11	.	.	PUNCT
ejpam-6505	488	1	[	[	X
ejpam-6505	488	2	14	14	NUM
ejpam-6505	488	3	]	]	X
ejpam-6505	488	4	ms	ms	NOUN
ejpam-6505	488	5	faltas	falta	NOUN
ejpam-6505	488	6	,	,	PUNCT
ejpam-6505	488	7	hh	hh	PROPN
ejpam-6505	488	8	sherief	sherief	NOUN
ejpam-6505	488	9	,	,	PUNCT
ejpam-6505	488	10	allam	allam	PROPN
ejpam-6505	488	11	a	a	PROPN
ejpam-6505	488	12	allam	allam	PROPN
ejpam-6505	488	13	,	,	PUNCT
ejpam-6505	488	14	mg	mg	PROPN
ejpam-6505	488	15	nashwan	nashwan	PROPN
ejpam-6505	488	16	,	,	PUNCT
ejpam-6505	488	17	and	and	CCONJ
ejpam-6505	488	18	m	m	AUX
ejpam-6505	488	19	el	el	PROPN
ejpam-6505	488	20	-	-	PUNCT
ejpam-6505	488	21	sayed	say	VERB
ejpam-6505	488	22	.	.	PUNCT
ejpam-6505	489	1	thermophoresis	thermophoresis	NOUN
ejpam-6505	489	2	of	of	ADP
ejpam-6505	489	3	a	a	DET
ejpam-6505	489	4	spherical	spherical	ADJ
ejpam-6505	489	5	particle	particle	NOUN
ejpam-6505	489	6	in	in	ADP
ejpam-6505	489	7	a	a	DET
ejpam-6505	489	8	permeable	permeable	ADJ
ejpam-6505	489	9	microchannel	microchannel	NOUN
ejpam-6505	489	10	with	with	ADP
ejpam-6505	489	11	thermal	thermal	ADJ
ejpam-6505	489	12	stress	stress	NOUN
ejpam-6505	489	13	slip	slip	NOUN
ejpam-6505	489	14	.	.	PUNCT
ejpam-6505	490	1	physical	physical	ADJ
ejpam-6505	490	2	review	review	NOUN
ejpam-6505	490	3	fluids	fluid	NOUN
ejpam-6505	490	4	,	,	PUNCT
ejpam-6505	490	5	8(5):054102	8(5):054102	NUM
ejpam-6505	490	6	,	,	PUNCT
ejpam-6505	490	7	2023	2023	NUM
ejpam-6505	490	8	.	.	PUNCT
ejpam-6505	491	1	[	[	X
ejpam-6505	491	2	15	15	NUM
ejpam-6505	491	3	]	]	X
ejpam-6505	491	4	ms	ms	NOUN
ejpam-6505	491	5	faltas	falta	NOUN
ejpam-6505	491	6	,	,	PUNCT
ejpam-6505	491	7	hh	hh	PROPN
ejpam-6505	491	8	sherief	sherief	NOUN
ejpam-6505	491	9	,	,	PUNCT
ejpam-6505	491	10	ei	ei	NOUN
ejpam-6505	491	11	saad	saad	PROPN
ejpam-6505	491	12	,	,	PUNCT
ejpam-6505	491	13	and	and	CCONJ
ejpam-6505	491	14	as	as	ADP
ejpam-6505	491	15	aamer	aam	ADJ
ejpam-6505	491	16	.	.	PUNCT
ejpam-6505	492	1	migration	migration	NOUN
ejpam-6505	492	2	of	of	ADP
ejpam-6505	492	3	a	a	DET
ejpam-6505	492	4	porous	porous	ADJ
ejpam-6505	492	5	spherical	spherical	ADJ
ejpam-6505	492	6	particle	particle	NOUN
ejpam-6505	492	7	in	in	ADP
ejpam-6505	492	8	the	the	DET
ejpam-6505	492	9	presence	presence	NOUN
ejpam-6505	492	10	of	of	ADP
ejpam-6505	492	11	a	a	DET
ejpam-6505	492	12	non	non	ADJ
ejpam-6505	492	13	-	-	ADJ
ejpam-6505	492	14	deformable	deformable	ADJ
ejpam-6505	492	15	interface	interface	NOUN
ejpam-6505	492	16	.	.	PUNCT
ejpam-6505	493	1	european	european	ADJ
ejpam-6505	493	2	journal	journal	PROPN
ejpam-6505	493	3	of	of	ADP
ejpam-6505	493	4	mechanicsb	mechanicsb	NOUN
ejpam-6505	493	5	/	/	SYM
ejpam-6505	493	6	fluids	fluid	NOUN
ejpam-6505	493	7	,	,	PUNCT
ejpam-6505	493	8	page	page	NOUN
ejpam-6505	493	9	204277	204277	NUM
ejpam-6505	493	10	,	,	PUNCT
ejpam-6505	493	11	2025	2025	NUM
ejpam-6505	493	12	.	.	PUNCT
ejpam-6505	494	1	[	[	X
ejpam-6505	494	2	16	16	NUM
ejpam-6505	494	3	]	]	X
ejpam-6505	494	4	k.d	k.d	PROPN
ejpam-6505	494	5	.	.	PROPN
ejpam-6505	494	6	barton	barton	PROPN
ejpam-6505	494	7	and	and	CCONJ
ejpam-6505	494	8	r.s	r.s	PROPN
ejpam-6505	494	9	.	.	PROPN
ejpam-6505	494	10	subramanian	subramanian	PROPN
ejpam-6505	494	11	.	.	PUNCT
ejpam-6505	495	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	495	2	migration	migration	NOUN
ejpam-6505	495	3	of	of	ADP
ejpam-6505	495	4	a	a	DET
ejpam-6505	495	5	liquid	liquid	ADJ
ejpam-6505	495	6	drop	drop	NOUN
ejpam-6505	495	7	normal	normal	ADJ
ejpam-6505	495	8	to	to	ADP
ejpam-6505	495	9	a	a	DET
ejpam-6505	495	10	plane	plane	NOUN
ejpam-6505	495	11	surface	surface	NOUN
ejpam-6505	495	12	.	.	PUNCT
ejpam-6505	496	1	journal	journal	PROPN
ejpam-6505	496	2	of	of	ADP
ejpam-6505	496	3	colloid	colloid	NOUN
ejpam-6505	496	4	and	and	CCONJ
ejpam-6505	496	5	interface	interface	NOUN
ejpam-6505	496	6	science	science	NOUN
ejpam-6505	496	7	,	,	PUNCT
ejpam-6505	496	8	137(1):170–182	137(1):170–182	NUM
ejpam-6505	496	9	,	,	PUNCT
ejpam-6505	496	10	1990	1990	NUM
ejpam-6505	496	11	.	.	PUNCT
ejpam-6505	497	1	[	[	X
ejpam-6505	497	2	17	17	NUM
ejpam-6505	497	3	]	]	X
ejpam-6505	497	4	s.h	s.h	PROPN
ejpam-6505	497	5	.	.	PROPN
ejpam-6505	497	6	chen	chen	PROPN
ejpam-6505	497	7	and	and	CCONJ
ejpam-6505	497	8	h.j	h.j	PROPN
ejpam-6505	497	9	.	.	PROPN
ejpam-6505	497	10	keh	keh	PROPN
ejpam-6505	497	11	.	.	PUNCT
ejpam-6505	498	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	498	2	motion	motion	NOUN
ejpam-6505	498	3	of	of	ADP
ejpam-6505	498	4	a	a	DET
ejpam-6505	498	5	fluid	fluid	ADJ
ejpam-6505	498	6	droplet	droplet	ADJ
ejpam-6505	498	7	normal	normal	ADJ
ejpam-6505	498	8	to	to	ADP
ejpam-6505	498	9	a	a	DET
ejpam-6505	498	10	plane	plane	NOUN
ejpam-6505	498	11	surface	surface	NOUN
ejpam-6505	498	12	.	.	PUNCT
ejpam-6505	499	1	journal	journal	PROPN
ejpam-6505	499	2	of	of	ADP
ejpam-6505	499	3	colloid	colloid	NOUN
ejpam-6505	499	4	and	and	CCONJ
ejpam-6505	499	5	interface	interface	NOUN
ejpam-6505	499	6	science	science	NOUN
ejpam-6505	499	7	,	,	PUNCT
ejpam-6505	499	8	137(2):550–562	137(2):550–562	NUM
ejpam-6505	499	9	,	,	PUNCT
ejpam-6505	499	10	1990	1990	NUM
ejpam-6505	499	11	.	.	PUNCT
ejpam-6505	500	1	[	[	X
ejpam-6505	500	2	18	18	NUM
ejpam-6505	500	3	]	]	X
ejpam-6505	500	4	k.d	k.d	PROPN
ejpam-6505	500	5	.	.	PROPN
ejpam-6505	500	6	barton	barton	PROPN
ejpam-6505	500	7	and	and	CCONJ
ejpam-6505	500	8	r.s	r.s	PROPN
ejpam-6505	500	9	.	.	PROPN
ejpam-6505	500	10	subramanian	subramanian	PROPN
ejpam-6505	500	11	.	.	PUNCT
ejpam-6505	501	1	migration	migration	NOUN
ejpam-6505	501	2	of	of	ADP
ejpam-6505	501	3	liquid	liquid	ADJ
ejpam-6505	501	4	drops	drop	NOUN
ejpam-6505	501	5	in	in	ADP
ejpam-6505	501	6	a	a	DET
ejpam-6505	501	7	vertical	vertical	ADJ
ejpam-6505	501	8	temperature	temperature	NOUN
ejpam-6505	501	9	gradient	gradient	NOUN
ejpam-6505	501	10	—	—	PUNCT
ejpam-6505	501	11	interaction	interaction	NOUN
ejpam-6505	501	12	effects	effect	NOUN
ejpam-6505	501	13	near	near	ADP
ejpam-6505	501	14	a	a	DET
ejpam-6505	501	15	horizontal	horizontal	ADJ
ejpam-6505	501	16	surface	surface	NOUN
ejpam-6505	501	17	.	.	PUNCT
ejpam-6505	502	1	journal	journal	PROPN
ejpam-6505	502	2	of	of	ADP
ejpam-6505	502	3	colloid	colloid	NOUN
ejpam-6505	502	4	and	and	CCONJ
ejpam-6505	502	5	interface	interface	NOUN
ejpam-6505	502	6	science	science	NOUN
ejpam-6505	502	7	,	,	PUNCT
ejpam-6505	502	8	141(1):146–156	141(1):146–156	NUM
ejpam-6505	502	9	,	,	PUNCT
ejpam-6505	502	10	1991	1991	NUM
ejpam-6505	502	11	.	.	PUNCT
ejpam-6505	503	1	[	[	X
ejpam-6505	503	2	19	19	NUM
ejpam-6505	503	3	]	]	X
ejpam-6505	503	4	y.c	y.c	PROPN
ejpam-6505	503	5	.	.	PROPN
ejpam-6505	503	6	chang	chang	PROPN
ejpam-6505	503	7	and	and	CCONJ
ejpam-6505	503	8	h.j	h.j	PROPN
ejpam-6505	503	9	.	.	PROPN
ejpam-6505	503	10	keh	keh	PROPN
ejpam-6505	503	11	.	.	PUNCT
ejpam-6505	504	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	504	2	motion	motion	NOUN
ejpam-6505	504	3	of	of	ADP
ejpam-6505	504	4	a	a	DET
ejpam-6505	504	5	fluid	fluid	ADJ
ejpam-6505	504	6	droplet	droplet	ADJ
ejpam-6505	504	7	perpendicular	perpendicular	NOUN
ejpam-6505	504	8	to	to	ADP
ejpam-6505	504	9	two	two	NUM
ejpam-6505	504	10	plane	plane	NOUN
ejpam-6505	504	11	walls	wall	NOUN
ejpam-6505	504	12	.	.	PUNCT
ejpam-6505	505	1	chemical	chemical	NOUN
ejpam-6505	505	2	engineering	engineering	NOUN
ejpam-6505	505	3	science	science	NOUN
ejpam-6505	505	4	,	,	PUNCT
ejpam-6505	505	5	61(16):5221–5235	61(16):5221–5235	NUM
ejpam-6505	505	6	,	,	PUNCT
ejpam-6505	505	7	2006	2006	NUM
ejpam-6505	505	8	.	.	PUNCT
ejpam-6505	506	1	[	[	X
ejpam-6505	506	2	20	20	NUM
ejpam-6505	506	3	]	]	X
ejpam-6505	506	4	t.c	t.c	PROPN
ejpam-6505	506	5	.	.	PROPN
ejpam-6505	506	6	lee	lee	PROPN
ejpam-6505	506	7	and	and	CCONJ
ejpam-6505	506	8	h.j	h.j	PROPN
ejpam-6505	506	9	.	.	PROPN
ejpam-6505	506	10	keh	keh	PROPN
ejpam-6505	506	11	.	.	PUNCT
ejpam-6505	507	1	axisymmetric	axisymmetric	VERB
ejpam-6505	507	2	thermocapillary	thermocapillary	ADJ
ejpam-6505	507	3	migration	migration	NOUN
ejpam-6505	507	4	of	of	ADP
ejpam-6505	507	5	a	a	DET
ejpam-6505	507	6	fluid	fluid	NOUN
ejpam-6505	507	7	sphere	sphere	NOUN
ejpam-6505	507	8	in	in	ADP
ejpam-6505	507	9	a	a	DET
ejpam-6505	507	10	spherical	spherical	ADJ
ejpam-6505	507	11	cavity	cavity	NOUN
ejpam-6505	507	12	.	.	PUNCT
ejpam-6505	508	1	international	international	ADJ
ejpam-6505	508	2	journal	journal	PROPN
ejpam-6505	508	3	of	of	ADP
ejpam-6505	508	4	heat	heat	NOUN
ejpam-6505	508	5	and	and	CCONJ
ejpam-6505	508	6	mass	mass	NOUN
ejpam-6505	508	7	transfer	transfer	NOUN
ejpam-6505	508	8	,	,	PUNCT
ejpam-6505	508	9	62:772–781	62:772–781	NUM
ejpam-6505	508	10	,	,	PUNCT
ejpam-6505	508	11	2013	2013	NUM
ejpam-6505	508	12	.	.	PUNCT
ejpam-6505	509	1	[	[	X
ejpam-6505	509	2	21	21	NUM
ejpam-6505	509	3	]	]	X
ejpam-6505	509	4	t.c	t.c	PROPN
ejpam-6505	509	5	.	.	PROPN
ejpam-6505	509	6	lee	lee	PROPN
ejpam-6505	509	7	and	and	CCONJ
ejpam-6505	509	8	h.j	h.j	PROPN
ejpam-6505	509	9	.	.	PROPN
ejpam-6505	509	10	keh	keh	PROPN
ejpam-6505	509	11	.	.	PUNCT
ejpam-6505	510	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	510	2	motion	motion	NOUN
ejpam-6505	510	3	of	of	ADP
ejpam-6505	510	4	a	a	DET
ejpam-6505	510	5	spherical	spherical	ADJ
ejpam-6505	510	6	drop	drop	NOUN
ejpam-6505	510	7	in	in	ADP
ejpam-6505	510	8	a	a	DET
ejpam-6505	510	9	spherical	spherical	ADJ
ejpam-6505	510	10	cavity	cavity	NOUN
ejpam-6505	510	11	.	.	PUNCT
ejpam-6505	511	1	cmes	cme	NOUN
ejpam-6505	511	2	,	,	PUNCT
ejpam-6505	511	3	93:317–333	93:317–333	NUM
ejpam-6505	511	4	,	,	PUNCT
ejpam-6505	511	5	2013	2013	NUM
ejpam-6505	511	6	.	.	PUNCT
ejpam-6505	512	1	[	[	X
ejpam-6505	512	2	22	22	NUM
ejpam-6505	512	3	]	]	PUNCT
ejpam-6505	512	4	m.	m.	NOUN
ejpam-6505	512	5	loewenberg	loewenberg	PROPN
ejpam-6505	512	6	and	and	CCONJ
ejpam-6505	512	7	r.h	r.h	PROPN
ejpam-6505	512	8	.	.	PROPN
ejpam-6505	512	9	davis	davis	PROPN
ejpam-6505	512	10	.	.	PUNCT
ejpam-6505	513	1	near	near	ADJ
ejpam-6505	513	2	-	-	PUNCT
ejpam-6505	513	3	contact	contact	NOUN
ejpam-6505	513	4	,	,	PUNCT
ejpam-6505	513	5	thermocapillary	thermocapillary	ADJ
ejpam-6505	513	6	migration	migration	NOUN
ejpam-6505	513	7	of	of	ADP
ejpam-6505	513	8	a	a	DET
ejpam-6505	513	9	nonconducting	nonconducting	ADJ
ejpam-6505	513	10	,	,	PUNCT
ejpam-6505	513	11	viscous	viscous	ADJ
ejpam-6505	513	12	drop	drop	NOUN
ejpam-6505	513	13	normal	normal	ADJ
ejpam-6505	513	14	to	to	ADP
ejpam-6505	513	15	a	a	DET
ejpam-6505	513	16	planar	planar	ADJ
ejpam-6505	513	17	interface	interface	NOUN
ejpam-6505	513	18	.	.	PUNCT
ejpam-6505	514	1	journal	journal	PROPN
ejpam-6505	514	2	of	of	ADP
ejpam-6505	514	3	colloid	colloid	NOUN
ejpam-6505	514	4	and	and	CCONJ
ejpam-6505	514	5	interface	interface	NOUN
ejpam-6505	514	6	science	science	NOUN
ejpam-6505	514	7	,	,	PUNCT
ejpam-6505	514	8	160(2):265–274	160(2):265–274	NUM
ejpam-6505	514	9	,	,	PUNCT
ejpam-6505	514	10	1993	1993	NUM
ejpam-6505	514	11	.	.	PUNCT
ejpam-6505	515	1	[	[	X
ejpam-6505	515	2	23	23	NUM
ejpam-6505	515	3	]	]	X
ejpam-6505	515	4	s.h	s.h	PROPN
ejpam-6505	515	5	.	.	PROPN
ejpam-6505	515	6	chen	chen	PROPN
ejpam-6505	515	7	.	.	PUNCT
ejpam-6505	516	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	516	2	deposition	deposition	NOUN
ejpam-6505	516	3	of	of	ADP
ejpam-6505	516	4	a	a	DET
ejpam-6505	516	5	fluid	fluid	ADJ
ejpam-6505	516	6	droplet	droplet	ADJ
ejpam-6505	516	7	normal	normal	ADJ
ejpam-6505	516	8	to	to	ADP
ejpam-6505	516	9	a	a	DET
ejpam-6505	516	10	planar	planar	ADJ
ejpam-6505	516	11	surface	surface	NOUN
ejpam-6505	516	12	.	.	PUNCT
ejpam-6505	517	1	langmuir	langmuir	PROPN
ejpam-6505	517	2	,	,	PUNCT
ejpam-6505	517	3	15(8):2674–2683	15(8):2674–2683	NUM
ejpam-6505	517	4	,	,	PUNCT
ejpam-6505	517	5	1999	1999	NUM
ejpam-6505	517	6	.	.	PUNCT
ejpam-6505	518	1	[	[	X
ejpam-6505	518	2	24	24	NUM
ejpam-6505	518	3	]	]	X
ejpam-6505	518	4	h.j	h.j	PROPN
ejpam-6505	518	5	.	.	PROPN
ejpam-6505	518	6	keh	keh	PROPN
ejpam-6505	518	7	,	,	PUNCT
ejpam-6505	518	8	p.y	p.y	PROPN
ejpam-6505	518	9	.	.	PROPN
ejpam-6505	518	10	chen	chen	PROPN
ejpam-6505	518	11	,	,	PUNCT
ejpam-6505	518	12	and	and	CCONJ
ejpam-6505	518	13	l.s	l.s	PROPN
ejpam-6505	518	14	.	.	PROPN
ejpam-6505	518	15	chen	chen	PROPN
ejpam-6505	518	16	.	.	PUNCT
ejpam-6505	519	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	519	2	motion	motion	NOUN
ejpam-6505	519	3	of	of	ADP
ejpam-6505	519	4	a	a	DET
ejpam-6505	519	5	fluid	fluid	ADJ
ejpam-6505	519	6	droplet	droplet	ADJ
ejpam-6505	519	7	parallel	parallel	NOUN
ejpam-6505	519	8	to	to	ADP
ejpam-6505	519	9	two	two	NUM
ejpam-6505	519	10	plane	plane	NOUN
ejpam-6505	519	11	walls	wall	NOUN
ejpam-6505	519	12	.	.	PUNCT
ejpam-6505	520	1	international	international	ADJ
ejpam-6505	520	2	journal	journal	PROPN
ejpam-6505	520	3	of	of	ADP
ejpam-6505	520	4	multiphase	multiphase	PROPN
ejpam-6505	520	5	flow	flow	NOUN
ejpam-6505	520	6	,	,	PUNCT
ejpam-6505	520	7	28(7):1149	28(7):1149	NUM
ejpam-6505	520	8	–	–	PUNCT
ejpam-6505	520	9	a.	a.	NOUN
ejpam-6505	520	10	s.	s.	PROPN
ejpam-6505	520	11	aamer	aamer	PROPN
ejpam-6505	520	12	,	,	PUNCT
ejpam-6505	520	13	b.	b.	PROPN
ejpam-6505	520	14	a.	a.	PROPN
ejpam-6505	520	15	ahmed	ahmed	PROPN
ejpam-6505	520	16	,	,	PUNCT
ejpam-6505	520	17	s.	s.	PROPN
ejpam-6505	520	18	a.	a.	PROPN
ejpam-6505	520	19	mahrous	mahrous	PROPN
ejpam-6505	520	20	/	/	SYM
ejpam-6505	520	21	eur	eur	PROPN
ejpam-6505	520	22	.	.	PUNCT
ejpam-6505	521	1	j.	j.	PROPN
ejpam-6505	521	2	pure	pure	PROPN
ejpam-6505	521	3	appl	appl	PROPN
ejpam-6505	521	4	.	.	PROPN
ejpam-6505	521	5	math	math	PROPN
ejpam-6505	521	6	,	,	PUNCT
ejpam-6505	521	7	18	18	NUM
ejpam-6505	521	8	(	(	PUNCT
ejpam-6505	521	9	3	3	NUM
ejpam-6505	521	10	)	)	PUNCT
ejpam-6505	521	11	(	(	PUNCT
ejpam-6505	521	12	2025	2025	NUM
ejpam-6505	521	13	)	)	PUNCT
ejpam-6505	521	14	,	,	PUNCT
ejpam-6505	521	15	6505	6505	NUM
ejpam-6505	521	16	of	of	ADP
ejpam-6505	521	17	1175	1175	NUM
ejpam-6505	521	18	,	,	PUNCT
ejpam-6505	521	19	2002	2002	NUM
ejpam-6505	521	20	.	.	PUNCT
ejpam-6505	522	1	[	[	X
ejpam-6505	522	2	25	25	NUM
ejpam-6505	522	3	]	]	X
ejpam-6505	522	4	d.	d.	PROPN
ejpam-6505	522	5	choudhuri	choudhuri	PROPN
ejpam-6505	522	6	and	and	CCONJ
ejpam-6505	522	7	g.p	g.p	PROPN
ejpam-6505	522	8	.	.	PROPN
ejpam-6505	522	9	raja	raja	PROPN
ejpam-6505	522	10	sekhar	sekhar	PROPN
ejpam-6505	522	11	.	.	PUNCT
ejpam-6505	523	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	523	2	drift	drift	NOUN
ejpam-6505	523	3	on	on	ADP
ejpam-6505	523	4	a	a	DET
ejpam-6505	523	5	spherical	spherical	ADJ
ejpam-6505	523	6	drop	drop	NOUN
ejpam-6505	523	7	in	in	ADP
ejpam-6505	523	8	a	a	DET
ejpam-6505	523	9	viscous	viscous	ADJ
ejpam-6505	523	10	fluid	fluid	NOUN
ejpam-6505	523	11	.	.	PUNCT
ejpam-6505	524	1	physics	physics	PROPN
ejpam-6505	524	2	of	of	ADP
ejpam-6505	524	3	fluids	fluid	NOUN
ejpam-6505	524	4	,	,	PUNCT
ejpam-6505	524	5	25(4	25(4	NOUN
ejpam-6505	524	6	)	)	PUNCT
ejpam-6505	524	7	,	,	PUNCT
ejpam-6505	524	8	2013	2013	NUM
ejpam-6505	524	9	.	.	PUNCT
ejpam-6505	525	1	[	[	X
ejpam-6505	525	2	26	26	NUM
ejpam-6505	525	3	]	]	X
ejpam-6505	525	4	h.c	h.c	PROPN
ejpam-6505	525	5	.	.	PUNCT
ejpam-6505	525	6	chiu	chiu	PROPN
ejpam-6505	525	7	and	and	CCONJ
ejpam-6505	525	8	h.j	h.j	PROPN
ejpam-6505	525	9	.	.	PROPN
ejpam-6505	525	10	keh	keh	PROPN
ejpam-6505	525	11	.	.	PUNCT
ejpam-6505	526	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	526	2	migration	migration	NOUN
ejpam-6505	526	3	of	of	ADP
ejpam-6505	526	4	a	a	DET
ejpam-6505	526	5	fluid	fluid	NOUN
ejpam-6505	526	6	sphere	sphere	NOUN
ejpam-6505	526	7	in	in	ADP
ejpam-6505	526	8	a	a	DET
ejpam-6505	526	9	circular	circular	ADJ
ejpam-6505	526	10	tube	tube	NOUN
ejpam-6505	526	11	.	.	PUNCT
ejpam-6505	527	1	american	american	ADJ
ejpam-6505	527	2	journal	journal	PROPN
ejpam-6505	527	3	of	of	ADP
ejpam-6505	527	4	heat	heat	NOUN
ejpam-6505	527	5	and	and	CCONJ
ejpam-6505	527	6	mass	mass	NOUN
ejpam-6505	527	7	transfer	transfer	NOUN
ejpam-6505	527	8	,	,	PUNCT
ejpam-6505	527	9	3(1):15–36	3(1):15–36	NUM
ejpam-6505	527	10	,	,	PUNCT
ejpam-6505	527	11	2016	2016	NUM
ejpam-6505	527	12	.	.	PUNCT
ejpam-6505	528	1	[	[	X
ejpam-6505	528	2	27	27	NUM
ejpam-6505	528	3	]	]	X
ejpam-6505	528	4	d.	d.	PROPN
ejpam-6505	528	5	chennuri	chennuri	PROPN
ejpam-6505	528	6	and	and	CCONJ
ejpam-6505	528	7	j.	j.	PROPN
ejpam-6505	528	8	prakash	prakash	PROPN
ejpam-6505	528	9	.	.	PUNCT
ejpam-6505	529	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	529	2	migration	migration	NOUN
ejpam-6505	529	3	of	of	ADP
ejpam-6505	529	4	a	a	DET
ejpam-6505	529	5	compound	compound	NOUN
ejpam-6505	529	6	drop	drop	NOUN
ejpam-6505	529	7	in	in	ADP
ejpam-6505	529	8	an	an	DET
ejpam-6505	529	9	arbitrary	arbitrary	ADJ
ejpam-6505	529	10	viscous	viscous	ADJ
ejpam-6505	529	11	flow	flow	NOUN
ejpam-6505	529	12	.	.	PUNCT
ejpam-6505	530	1	european	european	ADJ
ejpam-6505	530	2	journal	journal	PROPN
ejpam-6505	530	3	of	of	ADP
ejpam-6505	530	4	mechanics	mechanics	PROPN
ejpam-6505	530	5	b	b	PROPN
ejpam-6505	530	6	/	/	SYM
ejpam-6505	530	7	fluids	fluid	NOUN
ejpam-6505	530	8	,	,	PUNCT
ejpam-6505	530	9	106:280–289	106:280–289	NUM
ejpam-6505	530	10	,	,	PUNCT
ejpam-6505	530	11	2024	2024	NUM
ejpam-6505	530	12	.	.	PUNCT
ejpam-6505	531	1	[	[	X
ejpam-6505	531	2	28	28	NUM
ejpam-6505	531	3	]	]	X
ejpam-6505	531	4	h.c	h.c	PROPN
ejpam-6505	531	5	.	.	PROPN
ejpam-6505	531	6	brinkman	brinkman	PROPN
ejpam-6505	531	7	.	.	PUNCT
ejpam-6505	532	1	a	a	DET
ejpam-6505	532	2	calculation	calculation	NOUN
ejpam-6505	532	3	of	of	ADP
ejpam-6505	532	4	the	the	DET
ejpam-6505	532	5	viscous	viscous	ADJ
ejpam-6505	532	6	force	force	NOUN
ejpam-6505	532	7	exerted	exert	VERB
ejpam-6505	532	8	by	by	ADP
ejpam-6505	532	9	a	a	DET
ejpam-6505	532	10	flowing	flow	VERB
ejpam-6505	532	11	fluid	fluid	NOUN
ejpam-6505	532	12	on	on	ADP
ejpam-6505	532	13	a	a	DET
ejpam-6505	532	14	dense	dense	ADJ
ejpam-6505	532	15	swarm	swarm	NOUN
ejpam-6505	532	16	of	of	ADP
ejpam-6505	532	17	particles	particle	NOUN
ejpam-6505	532	18	.	.	PUNCT
ejpam-6505	533	1	flow	flow	NOUN
ejpam-6505	533	2	,	,	PUNCT
ejpam-6505	533	3	turbulence	turbulence	NOUN
ejpam-6505	533	4	and	and	CCONJ
ejpam-6505	533	5	combustion	combustion	NOUN
ejpam-6505	533	6	,	,	PUNCT
ejpam-6505	533	7	1(1):27–34	1(1):27–34	NUM
ejpam-6505	533	8	,	,	PUNCT
ejpam-6505	533	9	1949	1949	NUM
ejpam-6505	533	10	.	.	PUNCT
ejpam-6505	534	1	[	[	X
ejpam-6505	534	2	29	29	NUM
ejpam-6505	534	3	]	]	X
ejpam-6505	534	4	larry	larry	PROPN
ejpam-6505	534	5	d.	d.	PROPN
ejpam-6505	534	6	reed	reed	PROPN
ejpam-6505	534	7	.	.	PUNCT
ejpam-6505	535	1	low	low	PROPN
ejpam-6505	535	2	knudsen	knudsen	PROPN
ejpam-6505	535	3	number	number	NOUN
ejpam-6505	535	4	photophoresis	photophoresis	NOUN
ejpam-6505	535	5	.	.	PUNCT
ejpam-6505	536	1	journal	journal	NOUN
ejpam-6505	536	2	of	of	ADP
ejpam-6505	536	3	aerosol	aerosol	NOUN
ejpam-6505	536	4	science	science	NOUN
ejpam-6505	536	5	,	,	PUNCT
ejpam-6505	536	6	8(2):123–131	8(2):123–131	NUM
ejpam-6505	536	7	,	,	PUNCT
ejpam-6505	536	8	1977	1977	NUM
ejpam-6505	536	9	.	.	PUNCT
ejpam-6505	537	1	[	[	X
ejpam-6505	537	2	30	30	NUM
ejpam-6505	537	3	]	]	X
ejpam-6505	537	4	yu	yu	PROPN
ejpam-6505	537	5	chen	chen	PROPN
ejpam-6505	537	6	chang	chang	PROPN
ejpam-6505	537	7	and	and	CCONJ
ejpam-6505	537	8	huan	huan	PROPN
ejpam-6505	537	9	j.	j.	PROPN
ejpam-6505	537	10	keh	keh	PROPN
ejpam-6505	537	11	.	.	PUNCT
ejpam-6505	538	1	thermophoresis	thermophoresis	NOUN
ejpam-6505	538	2	at	at	ADP
ejpam-6505	538	3	small	small	ADJ
ejpam-6505	538	4	but	but	CCONJ
ejpam-6505	538	5	finite	finite	ADJ
ejpam-6505	538	6	péclet	péclet	PROPN
ejpam-6505	538	7	numbers	number	NOUN
ejpam-6505	538	8	.	.	PUNCT
ejpam-6505	539	1	aerosol	aerosol	NOUN
ejpam-6505	539	2	science	science	NOUN
ejpam-6505	539	3	and	and	CCONJ
ejpam-6505	539	4	technology	technology	NOUN
ejpam-6505	539	5	,	,	PUNCT
ejpam-6505	539	6	52(9):1028–1036	52(9):1028–1036	NOUN
ejpam-6505	539	7	,	,	PUNCT
ejpam-6505	539	8	2018	2018	NUM
ejpam-6505	539	9	.	.	PUNCT
ejpam-6505	540	1	[	[	X
ejpam-6505	540	2	31	31	NUM
ejpam-6505	540	3	]	]	PUNCT
ejpam-6505	540	4	christopher	christopher	PROPN
ejpam-6505	540	5	j.	j.	PROPN
ejpam-6505	540	6	lawrence	lawrence	PROPN
ejpam-6505	540	7	and	and	CCONJ
ejpam-6505	540	8	sheldon	sheldon	PROPN
ejpam-6505	540	9	weinbaum	weinbaum	PROPN
ejpam-6505	540	10	.	.	PUNCT
ejpam-6505	541	1	the	the	DET
ejpam-6505	541	2	unsteady	unsteady	ADJ
ejpam-6505	541	3	force	force	NOUN
ejpam-6505	541	4	on	on	ADP
ejpam-6505	541	5	a	a	DET
ejpam-6505	541	6	body	body	NOUN
ejpam-6505	541	7	at	at	ADP
ejpam-6505	541	8	low	low	ADJ
ejpam-6505	541	9	reynolds	reynold	NOUN
ejpam-6505	541	10	number	number	NOUN
ejpam-6505	541	11	;	;	PUNCT
ejpam-6505	541	12	the	the	DET
ejpam-6505	541	13	axisymmetric	axisymmetric	ADJ
ejpam-6505	541	14	motion	motion	NOUN
ejpam-6505	541	15	of	of	ADP
ejpam-6505	541	16	a	a	DET
ejpam-6505	541	17	spheroid	spheroid	NOUN
ejpam-6505	541	18	.	.	PUNCT
ejpam-6505	542	1	journal	journal	NOUN
ejpam-6505	542	2	of	of	ADP
ejpam-6505	542	3	fluid	fluid	ADJ
ejpam-6505	542	4	mechanics	mechanic	NOUN
ejpam-6505	542	5	,	,	PUNCT
ejpam-6505	542	6	189:463–489	189:463–489	NUM
ejpam-6505	542	7	,	,	PUNCT
ejpam-6505	542	8	1988	1988	NUM
ejpam-6505	542	9	.	.	PUNCT
ejpam-6505	543	1	[	[	X
ejpam-6505	543	2	32	32	NUM
ejpam-6505	543	3	]	]	X
ejpam-6505	543	4	dw	dw	PROPN
ejpam-6505	543	5	mackowski	mackowski	PROPN
ejpam-6505	543	6	.	.	PUNCT
ejpam-6505	544	1	photophoresis	photophoresis	NOUN
ejpam-6505	544	2	of	of	ADP
ejpam-6505	544	3	aerosol	aerosol	NOUN
ejpam-6505	544	4	particles	particle	NOUN
ejpam-6505	544	5	in	in	ADP
ejpam-6505	544	6	the	the	DET
ejpam-6505	544	7	free	free	ADJ
ejpam-6505	544	8	molecular	molecular	ADJ
ejpam-6505	544	9	and	and	CCONJ
ejpam-6505	544	10	slip	slip	NOUN
ejpam-6505	544	11	-	-	PUNCT
ejpam-6505	544	12	flow	flow	NOUN
ejpam-6505	544	13	regimes	regime	NOUN
ejpam-6505	544	14	.	.	PUNCT
ejpam-6505	545	1	international	international	ADJ
ejpam-6505	545	2	journal	journal	PROPN
ejpam-6505	545	3	of	of	ADP
ejpam-6505	545	4	heat	heat	NOUN
ejpam-6505	545	5	and	and	CCONJ
ejpam-6505	545	6	mass	mass	NOUN
ejpam-6505	545	7	transfer	transfer	NOUN
ejpam-6505	545	8	,	,	PUNCT
ejpam-6505	545	9	32(5):843–854	32(5):843–854	PROPN
ejpam-6505	545	10	,	,	PUNCT
ejpam-6505	545	11	1989	1989	NUM
ejpam-6505	545	12	.	.	PUNCT
ejpam-6505	546	1	[	[	X
ejpam-6505	546	2	33	33	NUM
ejpam-6505	546	3	]	]	X
ejpam-6505	546	4	ms	ms	NOUN
ejpam-6505	546	5	faltas	falta	NOUN
ejpam-6505	546	6	and	and	CCONJ
ejpam-6505	546	7	kareem	kareem	PROPN
ejpam-6505	546	8	e	e	PROPN
ejpam-6505	546	9	ragab	ragab	VERB
ejpam-6505	546	10	.	.	PUNCT
ejpam-6505	547	1	thermophoretic	thermophoretic	ADJ
ejpam-6505	547	2	and	and	CCONJ
ejpam-6505	547	3	photophoretic	photophoretic	ADJ
ejpam-6505	547	4	velocities	velocity	NOUN
ejpam-6505	547	5	and	and	CCONJ
ejpam-6505	547	6	forces	force	NOUN
ejpam-6505	547	7	of	of	ADP
ejpam-6505	547	8	a	a	DET
ejpam-6505	547	9	spherical	spherical	ADJ
ejpam-6505	547	10	particle	particle	NOUN
ejpam-6505	547	11	embedded	embed	VERB
ejpam-6505	547	12	in	in	ADP
ejpam-6505	547	13	brinkman	brinkman	PROPN
ejpam-6505	547	14	medium	medium	NOUN
ejpam-6505	547	15	.	.	PUNCT
ejpam-6505	548	1	the	the	DET
ejpam-6505	548	2	european	european	PROPN
ejpam-6505	548	3	physical	physical	PROPN
ejpam-6505	548	4	journal	journal	PROPN
ejpam-6505	548	5	plus	plus	CCONJ
ejpam-6505	548	6	,	,	PUNCT
ejpam-6505	548	7	134(9):475	134(9):475	NUM
ejpam-6505	548	8	,	,	PUNCT
ejpam-6505	548	9	2019	2019	NUM
ejpam-6505	548	10	.	.	PUNCT
ejpam-6505	549	1	[	[	X
ejpam-6505	549	2	34	34	NUM
ejpam-6505	549	3	]	]	X
ejpam-6505	549	4	peter	peter	PROPN
ejpam-6505	549	5	w	w	PROPN
ejpam-6505	549	6	dusel	dusel	PROPN
ejpam-6505	549	7	,	,	PUNCT
ejpam-6505	549	8	milton	milton	PROPN
ejpam-6505	549	9	kerker	kerker	PROPN
ejpam-6505	549	10	,	,	PUNCT
ejpam-6505	549	11	and	and	CCONJ
ejpam-6505	549	12	derry	derry	PROPN
ejpam-6505	549	13	d	d	PROPN
ejpam-6505	549	14	cooke	cooke	PROPN
ejpam-6505	549	15	.	.	PUNCT
ejpam-6505	550	1	distribution	distribution	NOUN
ejpam-6505	550	2	of	of	ADP
ejpam-6505	550	3	absorption	absorption	NOUN
ejpam-6505	550	4	centers	center	NOUN
ejpam-6505	550	5	within	within	ADP
ejpam-6505	550	6	irradiated	irradiated	ADJ
ejpam-6505	550	7	spheres	sphere	NOUN
ejpam-6505	550	8	.	.	PUNCT
ejpam-6505	551	1	journal	journal	NOUN
ejpam-6505	551	2	of	of	ADP
ejpam-6505	551	3	the	the	DET
ejpam-6505	551	4	optical	optical	ADJ
ejpam-6505	551	5	society	society	NOUN
ejpam-6505	551	6	of	of	ADP
ejpam-6505	551	7	america	america	PROPN
ejpam-6505	551	8	,	,	PUNCT
ejpam-6505	551	9	69(1):55–59	69(1):55–59	NOUN
ejpam-6505	551	10	,	,	PUNCT
ejpam-6505	551	11	1979	1979	NUM
ejpam-6505	551	12	.	.	PUNCT
ejpam-6505	552	1	[	[	X
ejpam-6505	552	2	35	35	NUM
ejpam-6505	552	3	]	]	X
ejpam-6505	552	4	h.	h.	PROPN
ejpam-6505	552	5	haj	haj	PROPN
ejpam-6505	552	6	-	-	PUNCT
ejpam-6505	552	7	hariri	hariri	PROPN
ejpam-6505	552	8	,	,	PUNCT
ejpam-6505	552	9	a.	a.	PROPN
ejpam-6505	552	10	nadim	nadim	PROPN
ejpam-6505	552	11	,	,	PUNCT
ejpam-6505	552	12	and	and	CCONJ
ejpam-6505	552	13	a.	a.	NOUN
ejpam-6505	552	14	borhan	borhan	PROPN
ejpam-6505	552	15	.	.	PUNCT
ejpam-6505	553	1	effect	effect	NOUN
ejpam-6505	553	2	of	of	ADP
ejpam-6505	553	3	inertia	inertia	NOUN
ejpam-6505	553	4	on	on	ADP
ejpam-6505	553	5	the	the	DET
ejpam-6505	553	6	thermocapillary	thermocapillary	ADJ
ejpam-6505	553	7	velocity	velocity	NOUN
ejpam-6505	553	8	of	of	ADP
ejpam-6505	553	9	a	a	DET
ejpam-6505	553	10	drop	drop	NOUN
ejpam-6505	553	11	.	.	PUNCT
ejpam-6505	554	1	journal	journal	NOUN
ejpam-6505	554	2	of	of	ADP
ejpam-6505	554	3	colloid	colloid	NOUN
ejpam-6505	554	4	and	and	CCONJ
ejpam-6505	554	5	interface	interface	NOUN
ejpam-6505	554	6	science	science	NOUN
ejpam-6505	554	7	,	,	PUNCT
ejpam-6505	554	8	140(1):277–286	140(1):277–286	NUM
ejpam-6505	554	9	,	,	PUNCT
ejpam-6505	554	10	1990	1990	NUM
ejpam-6505	554	11	.	.	PUNCT
ejpam-6505	555	1	[	[	X
ejpam-6505	555	2	36	36	NUM
ejpam-6505	555	3	]	]	X
ejpam-6505	555	4	donald	donald	PROPN
ejpam-6505	555	5	a.	a.	PROPN
ejpam-6505	555	6	nield	nield	PROPN
ejpam-6505	555	7	and	and	CCONJ
ejpam-6505	555	8	adrian	adrian	PROPN
ejpam-6505	555	9	bejan	bejan	PROPN
ejpam-6505	555	10	.	.	PUNCT
ejpam-6505	556	1	convection	convection	NOUN
ejpam-6505	556	2	in	in	ADP
ejpam-6505	556	3	porous	porous	ADJ
ejpam-6505	556	4	media	medium	NOUN
ejpam-6505	556	5	.	.	PUNCT
ejpam-6505	557	1	springer	springer	NOUN
ejpam-6505	557	2	,	,	PUNCT
ejpam-6505	557	3	5th	5th	ADJ
ejpam-6505	557	4	edition	edition	NOUN
ejpam-6505	557	5	,	,	PUNCT
ejpam-6505	557	6	2017	2017	NUM
ejpam-6505	557	7	.	.	PUNCT
ejpam-6505	558	1	[	[	X
ejpam-6505	558	2	37	37	NUM
ejpam-6505	558	3	]	]	X
ejpam-6505	558	4	e.s	e.s	PROPN
ejpam-6505	558	5	.	.	PROPN
ejpam-6505	558	6	nasibullaeva	nasibullaeva	PROPN
ejpam-6505	558	7	and	and	CCONJ
ejpam-6505	558	8	s.	s.	PROPN
ejpam-6505	558	9	urmancheev	urmancheev	PROPN
ejpam-6505	558	10	.	.	PUNCT
ejpam-6505	559	1	thermocapillary	thermocapillary	ADJ
ejpam-6505	559	2	migration	migration	NOUN
ejpam-6505	559	3	of	of	ADP
ejpam-6505	559	4	droplets	droplet	NOUN
ejpam-6505	559	5	and	and	CCONJ
ejpam-6505	559	6	bubbles	bubble	NOUN
ejpam-6505	559	7	in	in	ADP
ejpam-6505	559	8	a	a	DET
ejpam-6505	559	9	viscous	viscous	ADJ
ejpam-6505	559	10	liquid	liquid	NOUN
ejpam-6505	559	11	(	(	PUNCT
ejpam-6505	559	12	review	review	NOUN
ejpam-6505	559	13	)	)	PUNCT
ejpam-6505	559	14	.	.	PUNCT
ejpam-6505	560	1	multiphase	multiphase	NOUN
ejpam-6505	560	2	systems	system	NOUN
ejpam-6505	560	3	,	,	PUNCT
ejpam-6505	560	4	15:144–158	15:144–158	NUM
ejpam-6505	560	5	,	,	PUNCT
ejpam-6505	560	6	2020	2020	NUM
ejpam-6505	560	7	.	.	PUNCT