id	sid	tid	token	lemma	pos
ap-10062	1	1	acta	acta	PROPN
ap-10062	1	2	polytechnica	polytechnica	PROPN
ap-10062	1	3	https://doi.org/10.14311/ap.2025.65.0467	https://doi.org/10.14311/ap.2025.65.0467	PROPN
ap-10062	1	4	acta	acta	PROPN
ap-10062	1	5	polytechnica	polytechnica	PROPN
ap-10062	1	6	65(4):467–477	65(4):467–477	PROPN
ap-10062	1	7	,	,	PUNCT
ap-10062	1	8	2025	2025	NUM
ap-10062	1	9	©	©	ADP
ap-10062	1	10	2025	2025	NUM
ap-10062	1	11	the	the	DET
ap-10062	1	12	author(s	author(s	NOUN
ap-10062	1	13	)	)	PUNCT
ap-10062	1	14	.	.	PUNCT
ap-10062	2	1	licensed	license	VERB
ap-10062	2	2	under	under	ADP
ap-10062	2	3	a	a	DET
ap-10062	2	4	cc	cc	NOUN
ap-10062	2	5	-	-	PUNCT
ap-10062	2	6	by	by	ADP
ap-10062	2	7	4.0	4.0	NUM
ap-10062	2	8	licence	licence	NOUN
ap-10062	2	9	published	publish	VERB
ap-10062	2	10	by	by	ADP
ap-10062	2	11	the	the	DET
ap-10062	2	12	czech	czech	PROPN
ap-10062	2	13	technical	technical	PROPN
ap-10062	2	14	university	university	PROPN
ap-10062	2	15	in	in	ADP
ap-10062	2	16	prague	prague	PROPN
ap-10062	2	17	mathematical	mathematical	ADJ
ap-10062	2	18	modelling	modelling	NOUN
ap-10062	2	19	and	and	CCONJ
ap-10062	2	20	analysis	analysis	NOUN
ap-10062	2	21	of	of	ADP
ap-10062	2	22	three	three	NUM
ap-10062	2	23	-	-	PUNCT
ap-10062	2	24	dimensional	dimensional	ADJ
ap-10062	2	25	maxwell	maxwell	NOUN
ap-10062	2	26	-	-	PUNCT
ap-10062	2	27	nanofluid	nanofluid	NOUN
ap-10062	2	28	flow	flow	NOUN
ap-10062	2	29	over	over	ADP
ap-10062	2	30	a	a	DET
ap-10062	2	31	bidirectional	bidirectional	ADJ
ap-10062	2	32	stretching	stretch	VERB
ap-10062	2	33	surface	surface	NOUN
ap-10062	2	34	in	in	ADP
ap-10062	2	35	the	the	DET
ap-10062	2	36	presence	presence	NOUN
ap-10062	2	37	of	of	ADP
ap-10062	2	38	a	a	DET
ap-10062	2	39	magnetic	magnetic	ADJ
ap-10062	2	40	field	field	NOUN
ap-10062	2	41	tanuku	tanuku	NOUN
ap-10062	2	42	poornakanthaa	poornakanthaa	NOUN
ap-10062	2	43	,	,	PUNCT
ap-10062	2	44	mamidi	mamidi	NOUN
ap-10062	2	45	lakshmi	lakshmi	NOUN
ap-10062	2	46	prasannab	prasannab	VERB
ap-10062	2	47	,	,	PUNCT
ap-10062	2	48	murali	murali	PROPN
ap-10062	2	49	gundaganic,∗	gundaganic,∗	PROPN
ap-10062	2	50	a	a	DET
ap-10062	2	51	gayatri	gayatri	PROPN
ap-10062	2	52	vidya	vidya	PROPN
ap-10062	2	53	parishad	parishad	VERB
ap-10062	2	54	college	college	PROPN
ap-10062	2	55	of	of	ADP
ap-10062	2	56	engineering	engineering	NOUN
ap-10062	2	57	for	for	ADP
ap-10062	2	58	women	woman	NOUN
ap-10062	2	59	,	,	PUNCT
ap-10062	2	60	530048	530048	NUM
ap-10062	2	61	visakhapatnam	visakhapatnam	PROPN
ap-10062	2	62	,	,	PUNCT
ap-10062	2	63	india	india	PROPN
ap-10062	2	64	b	b	PROPN
ap-10062	2	65	andhra	andhra	PROPN
ap-10062	2	66	university	university	PROPN
ap-10062	2	67	,	,	PUNCT
ap-10062	2	68	trans	trans	ADJ
ap-10062	2	69	-	-	ADJ
ap-10062	2	70	disciplinary	disciplinary	ADJ
ap-10062	2	71	research	research	NOUN
ap-10062	2	72	hub	hub	NOUN
ap-10062	2	73	,	,	PUNCT
ap-10062	2	74	530003	530003	NUM
ap-10062	2	75	visakhapatnam	visakhapatnam	PROPN
ap-10062	2	76	,	,	PUNCT
ap-10062	2	77	india	india	PROPN
ap-10062	2	78	c	c	PROPN
ap-10062	2	79	geethanjali	geethanjali	VERB
ap-10062	2	80	college	college	PROPN
ap-10062	2	81	of	of	ADP
ap-10062	2	82	engineering	engineering	NOUN
ap-10062	2	83	and	and	CCONJ
ap-10062	2	84	technology	technology	NOUN
ap-10062	2	85	,	,	PUNCT
ap-10062	2	86	501301	501301	NUM
ap-10062	2	87	cheeryal	cheeryal	NOUN
ap-10062	2	88	,	,	PUNCT
ap-10062	2	89	india	india	PROPN
ap-10062	2	90	∗	∗	NOUN
ap-10062	2	91	corresponding	correspond	VERB
ap-10062	2	92	author	author	NOUN
ap-10062	2	93	:	:	PUNCT
ap-10062	2	94	prof.murali20@gmail.com	prof.murali20@gmail.com	X
ap-10062	2	95	abstract	abstract	PROPN
ap-10062	2	96	.	.	PUNCT
ap-10062	3	1	the	the	DET
ap-10062	3	2	current	current	ADJ
ap-10062	3	3	study	study	NOUN
ap-10062	3	4	investigates	investigate	VERB
ap-10062	3	5	the	the	DET
ap-10062	3	6	effects	effect	NOUN
ap-10062	3	7	of	of	ADP
ap-10062	3	8	thermal	thermal	ADJ
ap-10062	3	9	diffusion	diffusion	NOUN
ap-10062	3	10	and	and	CCONJ
ap-10062	3	11	diffusion	diffusion	NOUN
ap-10062	3	12	thermoeffect	thermoeffect	NOUN
ap-10062	3	13	on	on	ADP
ap-10062	3	14	three	three	NUM
ap-10062	3	15	-	-	PUNCT
ap-10062	3	16	dimensional	dimensional	ADJ
ap-10062	3	17	upper	upper	ADV
ap-10062	3	18	-	-	PUNCT
ap-10062	3	19	convected	convect	VERB
ap-10062	3	20	maxwell	maxwell	NOUN
ap-10062	3	21	-	-	PUNCT
ap-10062	3	22	nanofluid	nanofluid	PROPN
ap-10062	3	23	flow	flow	NOUN
ap-10062	3	24	across	across	ADP
ap-10062	3	25	a	a	DET
ap-10062	3	26	bidirectional	bidirectional	ADJ
ap-10062	3	27	stretching	stretch	VERB
ap-10062	3	28	surface	surface	NOUN
ap-10062	3	29	in	in	ADP
ap-10062	3	30	the	the	DET
ap-10062	3	31	presence	presence	NOUN
ap-10062	3	32	of	of	ADP
ap-10062	3	33	brownian	brownian	ADJ
ap-10062	3	34	motion	motion	NOUN
ap-10062	3	35	,	,	PUNCT
ap-10062	3	36	thermophoresis	thermophoresis	NOUN
ap-10062	3	37	,	,	PUNCT
ap-10062	3	38	and	and	CCONJ
ap-10062	3	39	thermal	thermal	ADJ
ap-10062	3	40	and	and	CCONJ
ap-10062	3	41	mass	mass	ADJ
ap-10062	3	42	biot	biot	ADJ
ap-10062	3	43	numbers	number	NOUN
ap-10062	3	44	.	.	PUNCT
ap-10062	4	1	the	the	DET
ap-10062	4	2	current	current	ADJ
ap-10062	4	3	communication	communication	NOUN
ap-10062	4	4	is	be	AUX
ap-10062	4	5	also	also	ADV
ap-10062	4	6	being	be	AUX
ap-10062	4	7	carried	carry	VERB
ap-10062	4	8	out	out	ADP
ap-10062	4	9	to	to	PART
ap-10062	4	10	consider	consider	VERB
ap-10062	4	11	the	the	DET
ap-10062	4	12	unique	unique	ADJ
ap-10062	4	13	and	and	CCONJ
ap-10062	4	14	innovative	innovative	ADJ
ap-10062	4	15	properties	property	NOUN
ap-10062	4	16	of	of	ADP
ap-10062	4	17	nanofluids	nanofluid	NOUN
ap-10062	4	18	.	.	PUNCT
ap-10062	5	1	the	the	DET
ap-10062	5	2	rosseland	rosseland	PROPN
ap-10062	5	3	approximation	approximation	NOUN
ap-10062	5	4	incorporates	incorporate	VERB
ap-10062	5	5	a	a	DET
ap-10062	5	6	nonlinear	nonlinear	ADJ
ap-10062	5	7	radiative	radiative	ADJ
ap-10062	5	8	heat	heat	NOUN
ap-10062	5	9	flow	flow	NOUN
ap-10062	5	10	in	in	ADP
ap-10062	5	11	the	the	DET
ap-10062	5	12	energy	energy	NOUN
ap-10062	5	13	equation	equation	NOUN
ap-10062	5	14	.	.	PUNCT
ap-10062	6	1	by	by	ADP
ap-10062	6	2	adding	add	VERB
ap-10062	6	3	applicable	applicable	ADJ
ap-10062	6	4	dimensionless	dimensionless	NOUN
ap-10062	6	5	variables	variable	NOUN
ap-10062	6	6	and	and	CCONJ
ap-10062	6	7	parameters	parameter	NOUN
ap-10062	6	8	,	,	PUNCT
ap-10062	6	9	the	the	DET
ap-10062	6	10	governing	govern	VERB
ap-10062	6	11	equations	equation	NOUN
ap-10062	6	12	are	be	AUX
ap-10062	6	13	converted	convert	VERB
ap-10062	6	14	into	into	ADP
ap-10062	6	15	a	a	DET
ap-10062	6	16	dimensionless	dimensionless	NOUN
ap-10062	6	17	form	form	NOUN
ap-10062	6	18	and	and	CCONJ
ap-10062	6	19	then	then	ADV
ap-10062	6	20	solved	solve	VERB
ap-10062	6	21	via	via	ADP
ap-10062	6	22	finite	finite	ADJ
ap-10062	6	23	element	element	NOUN
ap-10062	6	24	system	system	NOUN
ap-10062	6	25	.	.	PUNCT
ap-10062	7	1	the	the	DET
ap-10062	7	2	paper	paper	NOUN
ap-10062	7	3	delivers	deliver	VERB
ap-10062	7	4	a	a	DET
ap-10062	7	5	comprehensive	comprehensive	ADJ
ap-10062	7	6	analysis	analysis	NOUN
ap-10062	7	7	of	of	ADP
ap-10062	7	8	how	how	SCONJ
ap-10062	7	9	various	various	ADJ
ap-10062	7	10	factors	factor	NOUN
ap-10062	7	11	and	and	CCONJ
ap-10062	7	12	other	other	ADJ
ap-10062	7	13	pertinent	pertinent	ADJ
ap-10062	7	14	parameters	parameter	NOUN
ap-10062	7	15	influence	influence	VERB
ap-10062	7	16	the	the	DET
ap-10062	7	17	flow	flow	NOUN
ap-10062	7	18	variables	variable	NOUN
ap-10062	7	19	.	.	PUNCT
ap-10062	8	1	these	these	DET
ap-10062	8	2	findings	finding	NOUN
ap-10062	8	3	are	be	AUX
ap-10062	8	4	presented	present	VERB
ap-10062	8	5	visually	visually	ADV
ap-10062	8	6	through	through	ADP
ap-10062	8	7	graphical	graphical	ADJ
ap-10062	8	8	representations	representation	NOUN
ap-10062	8	9	,	,	PUNCT
ap-10062	8	10	providing	provide	VERB
ap-10062	8	11	a	a	DET
ap-10062	8	12	clear	clear	ADJ
ap-10062	8	13	and	and	CCONJ
ap-10062	8	14	insightful	insightful	ADJ
ap-10062	8	15	understanding	understanding	NOUN
ap-10062	8	16	involved	involve	VERB
ap-10062	8	17	in	in	ADP
ap-10062	8	18	this	this	DET
ap-10062	8	19	flow	flow	NOUN
ap-10062	8	20	scenario	scenario	NOUN
ap-10062	8	21	.	.	PUNCT
ap-10062	9	1	the	the	DET
ap-10062	9	2	results	result	NOUN
ap-10062	9	3	obtained	obtain	VERB
ap-10062	9	4	demonstrate	demonstrate	VERB
ap-10062	9	5	that	that	SCONJ
ap-10062	9	6	it	it	PRON
ap-10062	9	7	is	be	AUX
ap-10062	9	8	an	an	DET
ap-10062	9	9	effective	effective	ADJ
ap-10062	9	10	solution	solution	NOUN
ap-10062	9	11	to	to	ADP
ap-10062	9	12	the	the	DET
ap-10062	9	13	current	current	ADJ
ap-10062	9	14	problem	problem	NOUN
ap-10062	9	15	.	.	PUNCT
ap-10062	10	1	this	this	DET
ap-10062	10	2	new	new	ADJ
ap-10062	10	3	research	research	NOUN
ap-10062	10	4	has	have	VERB
ap-10062	10	5	significant	significant	ADJ
ap-10062	10	6	implications	implication	NOUN
ap-10062	10	7	for	for	ADP
ap-10062	10	8	the	the	DET
ap-10062	10	9	food	food	NOUN
ap-10062	10	10	industry	industry	NOUN
ap-10062	10	11	,	,	PUNCT
ap-10062	10	12	as	as	ADV
ap-10062	10	13	well	well	ADV
ap-10062	10	14	as	as	ADP
ap-10062	10	15	for	for	ADP
ap-10062	10	16	energy	energy	NOUN
ap-10062	10	17	systems	system	NOUN
ap-10062	10	18	,	,	PUNCT
ap-10062	10	19	biomedical	biomedical	ADJ
ap-10062	10	20	engineering	engineering	NOUN
ap-10062	10	21	,	,	PUNCT
ap-10062	10	22	and	and	CCONJ
ap-10062	10	23	aeronautics	aeronautic	NOUN
ap-10062	10	24	.	.	PUNCT
ap-10062	11	1	the	the	DET
ap-10062	11	2	numerical	numerical	ADJ
ap-10062	11	3	findings	finding	NOUN
ap-10062	11	4	of	of	ADP
ap-10062	11	5	this	this	DET
ap-10062	11	6	investigation	investigation	NOUN
ap-10062	11	7	are	be	AUX
ap-10062	11	8	tangible	tangible	ADJ
ap-10062	11	9	and	and	CCONJ
ap-10062	11	10	validated	validated	ADJ
ap-10062	11	11	.	.	PUNCT
ap-10062	12	1	keywords	keyword	NOUN
ap-10062	12	2	:	:	PUNCT
ap-10062	12	3	maxwell	maxwell	PROPN
ap-10062	12	4	fluid	fluid	PROPN
ap-10062	12	5	,	,	PUNCT
ap-10062	12	6	three	three	NUM
ap-10062	12	7	-	-	PUNCT
ap-10062	12	8	dimensional	dimensional	ADJ
ap-10062	12	9	,	,	PUNCT
ap-10062	12	10	nanofluid	nanofluid	ADJ
ap-10062	12	11	,	,	PUNCT
ap-10062	12	12	magnetic	magnetic	ADJ
ap-10062	12	13	field	field	NOUN
ap-10062	12	14	,	,	PUNCT
ap-10062	12	15	thermal	thermal	ADJ
ap-10062	12	16	biot	biot	ADJ
ap-10062	12	17	number	number	NOUN
ap-10062	12	18	,	,	PUNCT
ap-10062	12	19	mass	mass	ADJ
ap-10062	12	20	biot	biot	ADJ
ap-10062	12	21	number	number	NOUN
ap-10062	12	22	,	,	PUNCT
ap-10062	12	23	finite	finite	PROPN
ap-10062	12	24	element	element	NOUN
ap-10062	12	25	method	method	NOUN
ap-10062	12	26	.	.	PUNCT
ap-10062	13	1	1	1	X
ap-10062	13	2	.	.	X
ap-10062	13	3	introduction	introduction	NOUN
ap-10062	13	4	it	it	PRON
ap-10062	13	5	is	be	AUX
ap-10062	13	6	critical	critical	ADJ
ap-10062	13	7	to	to	PART
ap-10062	13	8	include	include	VERB
ap-10062	13	9	radiative	radiative	ADJ
ap-10062	13	10	heat	heat	NOUN
ap-10062	13	11	flow	flow	NOUN
ap-10062	13	12	while	while	SCONJ
ap-10062	13	13	studying	study	VERB
ap-10062	13	14	heat	heat	NOUN
ap-10062	13	15	transfer	transfer	NOUN
ap-10062	13	16	processes	process	NOUN
ap-10062	13	17	,	,	PUNCT
ap-10062	13	18	especially	especially	ADV
ap-10062	13	19	in	in	ADP
ap-10062	13	20	regard	regard	NOUN
ap-10062	13	21	to	to	ADP
ap-10062	13	22	nanofluids	nanofluids	VERB
ap-10062	13	23	.	.	PUNCT
ap-10062	14	1	radiative	radiative	ADJ
ap-10062	14	2	heat	heat	NOUN
ap-10062	14	3	transfer	transfer	NOUN
ap-10062	14	4	is	be	AUX
ap-10062	14	5	carried	carry	VERB
ap-10062	14	6	out	out	ADP
ap-10062	14	7	using	use	VERB
ap-10062	14	8	electromagnetic	electromagnetic	ADJ
ap-10062	14	9	waves	wave	NOUN
ap-10062	14	10	throughout	throughout	ADP
ap-10062	14	11	the	the	DET
ap-10062	14	12	energy	energy	NOUN
ap-10062	14	13	transmission	transmission	NOUN
ap-10062	14	14	process	process	NOUN
ap-10062	14	15	.	.	PUNCT
ap-10062	15	1	heat	heat	NOUN
ap-10062	15	2	transmission	transmission	NOUN
ap-10062	15	3	properties	property	NOUN
ap-10062	15	4	can	can	AUX
ap-10062	15	5	be	be	AUX
ap-10062	15	6	adjusted	adjust	VERB
ap-10062	15	7	further	far	ADV
ap-10062	15	8	in	in	ADP
ap-10062	15	9	the	the	DET
ap-10062	15	10	presence	presence	NOUN
ap-10062	15	11	of	of	ADP
ap-10062	15	12	nanofluids	nanofluid	NOUN
ap-10062	15	13	,	,	PUNCT
ap-10062	15	14	which	which	PRON
ap-10062	15	15	are	be	AUX
ap-10062	15	16	liquid	liquid	ADJ
ap-10062	15	17	suspensions	suspension	NOUN
ap-10062	15	18	containing	contain	VERB
ap-10062	15	19	microscopic	microscopic	ADJ
ap-10062	15	20	particles	particle	NOUN
ap-10062	15	21	.	.	PUNCT
ap-10062	16	1	radiative	radiative	ADJ
ap-10062	16	2	heat	heat	NOUN
ap-10062	16	3	transfer	transfer	NOUN
ap-10062	16	4	has	have	AUX
ap-10062	16	5	traditionally	traditionally	ADV
ap-10062	16	6	been	be	AUX
ap-10062	16	7	described	describe	VERB
ap-10062	16	8	using	use	VERB
ap-10062	16	9	linear	linear	ADJ
ap-10062	16	10	models	model	NOUN
ap-10062	16	11	such	such	ADJ
ap-10062	16	12	as	as	ADP
ap-10062	16	13	the	the	DET
ap-10062	16	14	stefanboltzmann	stefanboltzmann	PROPN
ap-10062	16	15	equation	equation	NOUN
ap-10062	16	16	that	that	PRON
ap-10062	16	17	assume	assume	VERB
ap-10062	16	18	a	a	DET
ap-10062	16	19	linear	linear	ADJ
ap-10062	16	20	relationship	relationship	NOUN
ap-10062	16	21	between	between	ADP
ap-10062	16	22	the	the	DET
ap-10062	16	23	temperature	temperature	NOUN
ap-10062	16	24	difference	difference	NOUN
ap-10062	16	25	and	and	CCONJ
ap-10062	16	26	the	the	DET
ap-10062	16	27	radiative	radiative	ADJ
ap-10062	16	28	heat	heat	NOUN
ap-10062	16	29	flow	flow	NOUN
ap-10062	16	30	.	.	PUNCT
ap-10062	17	1	in	in	ADP
ap-10062	17	2	some	some	DET
ap-10062	17	3	cases	case	NOUN
ap-10062	17	4	,	,	PUNCT
ap-10062	17	5	a	a	DET
ap-10062	17	6	non	non	ADJ
ap-10062	17	7	-	-	ADJ
ap-10062	17	8	linear	linear	ADJ
ap-10062	17	9	radiative	radiative	ADJ
ap-10062	17	10	heat	heat	NOUN
ap-10062	17	11	flow	flow	NOUN
ap-10062	17	12	model	model	NOUN
ap-10062	17	13	can	can	AUX
ap-10062	17	14	be	be	AUX
ap-10062	17	15	better	well	ADV
ap-10062	17	16	suited	suited	ADJ
ap-10062	17	17	to	to	PART
ap-10062	17	18	accurately	accurately	ADV
ap-10062	17	19	portray	portray	VERB
ap-10062	17	20	the	the	DET
ap-10062	17	21	behaviour	behaviour	NOUN
ap-10062	17	22	of	of	ADP
ap-10062	17	23	heat	heat	NOUN
ap-10062	17	24	transfer	transfer	NOUN
ap-10062	17	25	.	.	PUNCT
ap-10062	18	1	the	the	DET
ap-10062	18	2	addition	addition	NOUN
ap-10062	18	3	of	of	ADP
ap-10062	18	4	a	a	DET
ap-10062	18	5	non	non	ADJ
ap-10062	18	6	-	-	ADJ
ap-10062	18	7	linear	linear	ADJ
ap-10062	18	8	radiative	radiative	ADJ
ap-10062	18	9	heat	heat	NOUN
ap-10062	18	10	flow	flow	NOUN
ap-10062	18	11	compensates	compensate	NOUN
ap-10062	18	12	for	for	ADP
ap-10062	18	13	the	the	DET
ap-10062	18	14	radiative	radiative	ADJ
ap-10062	18	15	properties	property	NOUN
ap-10062	18	16	of	of	ADP
ap-10062	18	17	the	the	DET
ap-10062	18	18	nanofluid	nanofluid	NOUN
ap-10062	18	19	,	,	PUNCT
ap-10062	18	20	including	include	VERB
ap-10062	18	21	the	the	DET
ap-10062	18	22	scattering	scattering	NOUN
ap-10062	18	23	and	and	CCONJ
ap-10062	18	24	absorption	absorption	NOUN
ap-10062	18	25	of	of	ADP
ap-10062	18	26	radiation	radiation	NOUN
ap-10062	18	27	by	by	ADP
ap-10062	18	28	the	the	DET
ap-10062	18	29	nanoparticles	nanoparticle	NOUN
ap-10062	18	30	floating	float	VERB
ap-10062	18	31	in	in	ADP
ap-10062	18	32	the	the	DET
ap-10062	18	33	fluid	fluid	NOUN
ap-10062	18	34	.	.	PUNCT
ap-10062	19	1	these	these	DET
ap-10062	19	2	variables	variable	NOUN
ap-10062	19	3	can	can	AUX
ap-10062	19	4	influence	influence	VERB
ap-10062	19	5	radiative	radiative	ADJ
ap-10062	19	6	heat	heat	NOUN
ap-10062	19	7	transfer	transfer	NOUN
ap-10062	19	8	by	by	ADP
ap-10062	19	9	altering	alter	VERB
ap-10062	19	10	the	the	DET
ap-10062	19	11	fluid	fluid	NOUN
ap-10062	19	12	’s	’s	PART
ap-10062	19	13	effective	effective	ADJ
ap-10062	19	14	thermal	thermal	ADJ
ap-10062	19	15	conductivity	conductivity	NOUN
ap-10062	19	16	,	,	PUNCT
ap-10062	19	17	as	as	ADV
ap-10062	19	18	well	well	ADV
ap-10062	19	19	as	as	ADP
ap-10062	19	20	its	its	PRON
ap-10062	19	21	absorption	absorption	NOUN
ap-10062	19	22	and	and	CCONJ
ap-10062	19	23	emission	emission	NOUN
ap-10062	19	24	properties	property	NOUN
ap-10062	19	25	.	.	PUNCT
ap-10062	20	1	there	there	PRON
ap-10062	20	2	are	be	VERB
ap-10062	20	3	many	many	ADJ
ap-10062	20	4	approaches	approach	NOUN
ap-10062	20	5	that	that	PRON
ap-10062	20	6	can	can	AUX
ap-10062	20	7	be	be	AUX
ap-10062	20	8	applied	apply	VERB
ap-10062	20	9	to	to	PART
ap-10062	20	10	describe	describe	VERB
ap-10062	20	11	the	the	DET
ap-10062	20	12	nonlinear	nonlinear	ADJ
ap-10062	20	13	radiative	radiative	ADJ
ap-10062	20	14	heat	heat	NOUN
ap-10062	20	15	flow	flow	NOUN
ap-10062	20	16	in	in	ADP
ap-10062	20	17	the	the	DET
ap-10062	20	18	presence	presence	NOUN
ap-10062	20	19	of	of	ADP
ap-10062	20	20	a	a	DET
ap-10062	20	21	nanofluid	nanofluid	PROPN
ap-10062	20	22	.	.	PUNCT
ap-10062	20	23	nanoparticle	nanoparticle	NOUN
ap-10062	20	24	concentration	concentration	NOUN
ap-10062	20	25	,	,	PUNCT
ap-10062	20	26	size	size	NOUN
ap-10062	20	27	,	,	PUNCT
ap-10062	20	28	and	and	CCONJ
ap-10062	20	29	shape	shape	NOUN
ap-10062	20	30	are	be	AUX
ap-10062	20	31	all	all	PRON
ap-10062	20	32	widely	widely	ADV
ap-10062	20	33	included	include	VERB
ap-10062	20	34	in	in	ADP
ap-10062	20	35	radiative	radiative	ADJ
ap-10062	20	36	heat	heat	NOUN
ap-10062	20	37	transfer	transfer	NOUN
ap-10062	20	38	estimates	estimate	NOUN
ap-10062	20	39	.	.	PUNCT
ap-10062	21	1	this	this	PRON
ap-10062	21	2	is	be	AUX
ap-10062	21	3	made	make	VERB
ap-10062	21	4	feasible	feasible	ADJ
ap-10062	21	5	by	by	ADP
ap-10062	21	6	using	use	VERB
ap-10062	21	7	complex	complex	ADJ
ap-10062	21	8	mathematical	mathematical	ADJ
ap-10062	21	9	models	model	NOUN
ap-10062	21	10	or	or	CCONJ
ap-10062	21	11	numerical	numerical	ADJ
ap-10062	21	12	simulations	simulation	NOUN
ap-10062	21	13	that	that	PRON
ap-10062	21	14	account	account	VERB
ap-10062	21	15	for	for	ADP
ap-10062	21	16	the	the	DET
ap-10062	21	17	interactions	interaction	NOUN
ap-10062	21	18	between	between	ADP
ap-10062	21	19	the	the	DET
ap-10062	21	20	nanoparticles	nanoparticle	NOUN
ap-10062	21	21	and	and	CCONJ
ap-10062	21	22	the	the	DET
ap-10062	21	23	incoming	incoming	ADJ
ap-10062	21	24	radiation	radiation	NOUN
ap-10062	21	25	.	.	PUNCT
ap-10062	22	1	the	the	DET
ap-10062	22	2	extinction	extinction	NOUN
ap-10062	22	3	coefficient	coefficient	NOUN
ap-10062	22	4	and	and	CCONJ
ap-10062	22	5	scattering	scatter	VERB
ap-10062	22	6	phase	phase	NOUN
ap-10062	22	7	function	function	NOUN
ap-10062	22	8	of	of	ADP
ap-10062	22	9	the	the	DET
ap-10062	22	10	nanofluid	nanofluid	NOUN
ap-10062	22	11	,	,	PUNCT
ap-10062	22	12	as	as	ADV
ap-10062	22	13	well	well	ADV
ap-10062	22	14	as	as	ADP
ap-10062	22	15	other	other	ADJ
ap-10062	22	16	radiative	radiative	ADJ
ap-10062	22	17	properties	property	NOUN
ap-10062	22	18	,	,	PUNCT
ap-10062	22	19	can	can	AUX
ap-10062	22	20	be	be	AUX
ap-10062	22	21	determined	determine	VERB
ap-10062	22	22	through	through	ADP
ap-10062	22	23	experiments	experiment	NOUN
ap-10062	22	24	.	.	PUNCT
ap-10062	23	1	in	in	ADP
ap-10062	23	2	order	order	NOUN
ap-10062	23	3	to	to	PART
ap-10062	23	4	make	make	VERB
ap-10062	23	5	more	more	ADV
ap-10062	23	6	accurate	accurate	ADJ
ap-10062	23	7	forecasts	forecast	NOUN
ap-10062	23	8	,	,	PUNCT
ap-10062	23	9	these	these	DET
ap-10062	23	10	observable	observable	ADJ
ap-10062	23	11	characteristics	characteristic	NOUN
ap-10062	23	12	can	can	AUX
ap-10062	23	13	then	then	ADV
ap-10062	23	14	be	be	AUX
ap-10062	23	15	included	include	VERB
ap-10062	23	16	into	into	ADP
ap-10062	23	17	non	non	ADJ
ap-10062	23	18	-	-	ADJ
ap-10062	23	19	linear	linear	ADJ
ap-10062	23	20	radiative	radiative	ADJ
ap-10062	23	21	heat	heat	NOUN
ap-10062	23	22	transfer	transfer	NOUN
ap-10062	23	23	models	model	NOUN
ap-10062	23	24	.	.	PUNCT
ap-10062	24	1	a	a	DET
ap-10062	24	2	fluid	fluid	NOUN
ap-10062	24	3	is	be	AUX
ap-10062	24	4	a	a	DET
ap-10062	24	5	unique	unique	ADJ
ap-10062	24	6	form	form	NOUN
ap-10062	24	7	of	of	ADP
ap-10062	24	8	matter	matter	NOUN
ap-10062	24	9	with	with	ADP
ap-10062	24	10	the	the	DET
ap-10062	24	11	ability	ability	NOUN
ap-10062	24	12	to	to	PART
ap-10062	24	13	flow	flow	VERB
ap-10062	24	14	and	and	CCONJ
ap-10062	24	15	deform	deform	VERB
ap-10062	24	16	easily	easily	ADV
ap-10062	24	17	when	when	SCONJ
ap-10062	24	18	subjected	subject	VERB
ap-10062	24	19	to	to	ADP
ap-10062	24	20	an	an	DET
ap-10062	24	21	external	external	ADJ
ap-10062	24	22	force	force	NOUN
ap-10062	24	23	.	.	PUNCT
ap-10062	25	1	non	non	ADJ
ap-10062	25	2	-	-	ADJ
ap-10062	25	3	newtonian	newtonian	ADJ
ap-10062	25	4	fluids	fluid	NOUN
ap-10062	25	5	have	have	VERB
ap-10062	25	6	innumerable	innumerable	ADJ
ap-10062	25	7	real	real	ADJ
ap-10062	25	8	-	-	PUNCT
ap-10062	25	9	life	life	NOUN
ap-10062	25	10	applications	application	NOUN
ap-10062	25	11	in	in	ADP
ap-10062	25	12	natural	natural	ADJ
ap-10062	25	13	products	product	NOUN
ap-10062	25	14	,	,	PUNCT
ap-10062	25	15	bio	bio	ADJ
ap-10062	25	16	-	-	ADJ
ap-10062	25	17	medical	medical	ADJ
ap-10062	25	18	fields	field	NOUN
ap-10062	25	19	,	,	PUNCT
ap-10062	25	20	agriculture	agriculture	NOUN
ap-10062	25	21	,	,	PUNCT
ap-10062	25	22	and	and	CCONJ
ap-10062	25	23	food	food	NOUN
ap-10062	25	24	products	product	NOUN
ap-10062	25	25	.	.	PUNCT
ap-10062	26	1	exhaustive	exhaustive	ADJ
ap-10062	26	2	benefits	benefit	NOUN
ap-10062	26	3	in	in	ADP
ap-10062	26	4	various	various	ADJ
ap-10062	26	5	fields	field	NOUN
ap-10062	26	6	have	have	AUX
ap-10062	26	7	made	make	VERB
ap-10062	26	8	researchers	researcher	NOUN
ap-10062	26	9	to	to	PART
ap-10062	26	10	study	study	VERB
ap-10062	26	11	and	and	CCONJ
ap-10062	26	12	investigate	investigate	VERB
ap-10062	26	13	the	the	DET
ap-10062	26	14	attributes	attribute	NOUN
ap-10062	26	15	of	of	ADP
ap-10062	26	16	non	non	ADJ
ap-10062	26	17	-	-	ADJ
ap-10062	26	18	newtonian	newtonian	ADJ
ap-10062	26	19	fluids	fluid	NOUN
ap-10062	26	20	.	.	PUNCT
ap-10062	27	1	the	the	DET
ap-10062	27	2	non	non	ADJ
ap-10062	27	3	-	-	ADJ
ap-10062	27	4	newtonian	newtonian	ADJ
ap-10062	27	5	liquid	liquid	ADJ
ap-10062	27	6	stream	stream	NOUN
ap-10062	27	7	has	have	AUX
ap-10062	27	8	received	receive	VERB
ap-10062	27	9	a	a	DET
ap-10062	27	10	lot	lot	NOUN
ap-10062	27	11	of	of	ADP
ap-10062	27	12	attention	attention	NOUN
ap-10062	27	13	over	over	ADP
ap-10062	27	14	the	the	DET
ap-10062	27	15	past	past	ADJ
ap-10062	27	16	10	10	NUM
ap-10062	27	17	years	year	NOUN
ap-10062	27	18	due	due	ADP
ap-10062	27	19	to	to	ADP
ap-10062	27	20	its	its	PRON
ap-10062	27	21	wide	wide	ADJ
ap-10062	27	22	range	range	NOUN
ap-10062	27	23	of	of	ADP
ap-10062	27	24	applications	application	NOUN
ap-10062	27	25	in	in	ADP
ap-10062	27	26	the	the	DET
ap-10062	27	27	engineering	engineering	NOUN
ap-10062	27	28	and	and	CCONJ
ap-10062	27	29	industrial	industrial	ADJ
ap-10062	27	30	sectors	sector	NOUN
ap-10062	27	31	.	.	PUNCT
ap-10062	28	1	a	a	DET
ap-10062	28	2	key	key	ADJ
ap-10062	28	3	type	type	NOUN
ap-10062	28	4	of	of	ADP
ap-10062	28	5	rate	rate	NOUN
ap-10062	28	6	-	-	PUNCT
ap-10062	28	7	based	base	VERB
ap-10062	28	8	liquid	liquid	ADJ
ap-10062	28	9	model	model	NOUN
ap-10062	28	10	is	be	AUX
ap-10062	28	11	the	the	DET
ap-10062	28	12	maxwell	maxwell	PROPN
ap-10062	28	13	liquid	liquid	NOUN
ap-10062	28	14	.	.	PUNCT
ap-10062	29	1	the	the	DET
ap-10062	29	2	straightforward	straightforward	ADJ
ap-10062	29	3	rate	rate	NOUN
ap-10062	29	4	-	-	PUNCT
ap-10062	29	5	based	base	VERB
ap-10062	29	6	fluid	fluid	ADJ
ap-10062	29	7	subclass	subclass	NOUN
ap-10062	29	8	for	for	ADP
ap-10062	29	9	which	which	PRON
ap-10062	29	10	the	the	DET
ap-10062	29	11	analytical	analytical	ADJ
ap-10062	29	12	solution	solution	NOUN
ap-10062	29	13	can	can	AUX
ap-10062	29	14	be	be	AUX
ap-10062	29	15	reasonably	reasonably	ADV
ap-10062	29	16	anticipated	anticipate	VERB
ap-10062	29	17	or	or	CCONJ
ap-10062	29	18	obtained	obtain	VERB
ap-10062	29	19	is	be	AUX
ap-10062	29	20	the	the	DET
ap-10062	29	21	maxwell	maxwell	PROPN
ap-10062	29	22	fluid	fluid	NOUN
ap-10062	29	23	model	model	NOUN
ap-10062	29	24	.	.	PUNCT
ap-10062	30	1	several	several	ADJ
ap-10062	30	2	academics	academic	NOUN
ap-10062	30	3	have	have	AUX
ap-10062	30	4	examined	examine	VERB
ap-10062	30	5	the	the	DET
ap-10062	30	6	maxwell	maxwell	PROPN
ap-10062	30	7	liquid	liquid	ADJ
ap-10062	30	8	stream	stream	NOUN
ap-10062	30	9	past	past	ADP
ap-10062	30	10	various	various	ADJ
ap-10062	30	11	geometries	geometry	NOUN
ap-10062	30	12	in	in	ADP
ap-10062	30	13	this	this	DET
ap-10062	30	14	area	area	NOUN
ap-10062	30	15	.	.	PUNCT
ap-10062	31	1	in	in	ADP
ap-10062	31	2	recent	recent	ADJ
ap-10062	31	3	years	year	NOUN
ap-10062	31	4	,	,	PUNCT
ap-10062	31	5	modelling	modelling	NOUN
ap-10062	31	6	and	and	CCONJ
ap-10062	31	7	exploration	exploration	NOUN
ap-10062	31	8	of	of	ADP
ap-10062	31	9	nanoliquid	nanoliquid	ADJ
ap-10062	31	10	467	467	NUM
ap-10062	31	11	https://doi.org/10.14311/ap.2025.65.0467	https://doi.org/10.14311/ap.2025.65.0467	PROPN
ap-10062	31	12	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-10062	31	13	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-10062	31	14	t.	t.	PROPN
ap-10062	31	15	poornakantha	poornakantha	PROPN
ap-10062	31	16	,	,	PUNCT
ap-10062	31	17	m.	m.	PROPN
ap-10062	31	18	l.	l.	PROPN
ap-10062	31	19	prasanna	prasanna	PROPN
ap-10062	31	20	,	,	PUNCT
ap-10062	31	21	m.	m.	NOUN
ap-10062	31	22	gundagani	gundagani	PROPN
ap-10062	31	23	acta	acta	PROPN
ap-10062	31	24	polytechnica	polytechnica	PROPN
ap-10062	31	25	streams	stream	NOUN
ap-10062	31	26	has	have	AUX
ap-10062	31	27	been	be	AUX
ap-10062	31	28	a	a	DET
ap-10062	31	29	popular	popular	ADJ
ap-10062	31	30	area	area	NOUN
ap-10062	31	31	of	of	ADP
ap-10062	31	32	study	study	NOUN
ap-10062	31	33	.	.	PUNCT
ap-10062	32	1	nanoliquids	nanoliquid	NOUN
ap-10062	32	2	are	be	AUX
ap-10062	32	3	being	be	AUX
ap-10062	32	4	offered	offer	VERB
ap-10062	32	5	as	as	ADP
ap-10062	32	6	a	a	DET
ap-10062	32	7	breakthrough	breakthrough	ADJ
ap-10062	32	8	approach	approach	NOUN
ap-10062	32	9	to	to	PART
ap-10062	32	10	increase	increase	VERB
ap-10062	32	11	heat	heat	NOUN
ap-10062	32	12	transmission	transmission	NOUN
ap-10062	32	13	.	.	PUNCT
ap-10062	33	1	one	one	NUM
ap-10062	33	2	of	of	ADP
ap-10062	33	3	the	the	DET
ap-10062	33	4	technological	technological	ADJ
ap-10062	33	5	applications	application	NOUN
ap-10062	33	6	of	of	ADP
ap-10062	33	7	nanoparticles	nanoparticle	NOUN
ap-10062	33	8	is	be	AUX
ap-10062	33	9	the	the	DET
ap-10062	33	10	use	use	NOUN
ap-10062	33	11	of	of	ADP
ap-10062	33	12	heat	heat	NOUN
ap-10062	33	13	transfer	transfer	NOUN
ap-10062	33	14	liquids	liquid	NOUN
ap-10062	33	15	including	include	VERB
ap-10062	33	16	nanoparticle	nanoparticle	NOUN
ap-10062	33	17	suspensions	suspension	NOUN
ap-10062	33	18	to	to	PART
ap-10062	33	19	overcome	overcome	VERB
ap-10062	33	20	cooling	cool	VERB
ap-10062	33	21	difficulties	difficulty	NOUN
ap-10062	33	22	in	in	ADP
ap-10062	33	23	thermal	thermal	ADJ
ap-10062	33	24	frames	frame	NOUN
ap-10062	33	25	.	.	PUNCT
ap-10062	34	1	as	as	ADP
ap-10062	34	2	a	a	DET
ap-10062	34	3	result	result	NOUN
ap-10062	34	4	,	,	PUNCT
ap-10062	34	5	numerous	numerous	ADJ
ap-10062	34	6	researchers	researcher	NOUN
ap-10062	34	7	examined	examine	VERB
ap-10062	34	8	the	the	DET
ap-10062	34	9	nanoliquid	nanoliquid	ADJ
ap-10062	34	10	stream	stream	NOUN
ap-10062	34	11	as	as	SCONJ
ap-10062	34	12	it	it	PRON
ap-10062	34	13	passed	pass	VERB
ap-10062	34	14	through	through	ADP
ap-10062	34	15	various	various	ADJ
ap-10062	34	16	surfaces	surface	NOUN
ap-10062	34	17	.	.	PUNCT
ap-10062	35	1	because	because	SCONJ
ap-10062	35	2	of	of	ADP
ap-10062	35	3	their	their	PRON
ap-10062	35	4	complicated	complicated	ADJ
ap-10062	35	5	rheology	rheology	NOUN
ap-10062	35	6	,	,	PUNCT
ap-10062	35	7	certain	certain	ADJ
ap-10062	35	8	fluids	fluid	NOUN
ap-10062	35	9	can	can	AUX
ap-10062	35	10	not	not	PART
ap-10062	35	11	be	be	AUX
ap-10062	35	12	represented	represent	VERB
ap-10062	35	13	by	by	ADP
ap-10062	35	14	simple	simple	ADJ
ap-10062	35	15	navier	navier	NOUN
ap-10062	35	16	-	-	PUNCT
ap-10062	35	17	stokes	stoke	NOUN
ap-10062	35	18	equations	equation	NOUN
ap-10062	35	19	.	.	PUNCT
ap-10062	36	1	non	non	ADJ
ap-10062	36	2	-	-	ADJ
ap-10062	36	3	newtonian	newtonian	ADJ
ap-10062	36	4	fluids	fluid	NOUN
ap-10062	36	5	have	have	VERB
ap-10062	36	6	various	various	ADJ
ap-10062	36	7	uses	use	NOUN
ap-10062	36	8	in	in	ADP
ap-10062	36	9	our	our	PRON
ap-10062	36	10	daily	daily	ADJ
ap-10062	36	11	lives	life	NOUN
ap-10062	36	12	,	,	PUNCT
ap-10062	36	13	including	include	VERB
ap-10062	36	14	biotechnologies	biotechnology	NOUN
ap-10062	36	15	,	,	PUNCT
ap-10062	36	16	geophysics	geophysic	NOUN
ap-10062	36	17	,	,	PUNCT
ap-10062	36	18	astrophysics	astrophysic	NOUN
ap-10062	36	19	,	,	PUNCT
ap-10062	36	20	industries	industry	NOUN
ap-10062	36	21	,	,	PUNCT
ap-10062	36	22	and	and	CCONJ
ap-10062	36	23	engineering	engineering	NOUN
ap-10062	36	24	innovations	innovation	NOUN
ap-10062	36	25	.	.	PUNCT
ap-10062	37	1	the	the	DET
ap-10062	37	2	nonlinear	nonlinear	ADJ
ap-10062	37	3	radiative	radiative	ADJ
ap-10062	37	4	heat	heat	NOUN
ap-10062	37	5	transfer	transfer	NOUN
ap-10062	37	6	properties	property	NOUN
ap-10062	37	7	of	of	ADP
ap-10062	37	8	nanofluids	nanofluid	NOUN
ap-10062	37	9	with	with	ADP
ap-10062	37	10	varying	vary	VERB
ap-10062	37	11	parameters	parameter	NOUN
ap-10062	37	12	were	be	AUX
ap-10062	37	13	studied	study	VERB
ap-10062	37	14	by	by	ADP
ap-10062	37	15	chamkha	chamkha	ADJ
ap-10062	37	16	and	and	CCONJ
ap-10062	37	17	abu	abu	PROPN
ap-10062	37	18	-	-	PUNCT
ap-10062	37	19	nada	nada	PROPN
ap-10062	38	1	[	[	X
ap-10062	38	2	1	1	NUM
ap-10062	38	3	]	]	PUNCT
ap-10062	38	4	.	.	PUNCT
ap-10062	39	1	an	an	DET
ap-10062	39	2	exhaustive	exhaustive	ADJ
ap-10062	39	3	survey	survey	NOUN
ap-10062	39	4	of	of	ADP
ap-10062	39	5	studies	study	NOUN
ap-10062	39	6	on	on	ADP
ap-10062	39	7	non	non	ADJ
ap-10062	39	8	-	-	ADJ
ap-10062	39	9	linear	linear	ADJ
ap-10062	39	10	radiative	radiative	ADJ
ap-10062	39	11	heat	heat	NOUN
ap-10062	39	12	transport	transport	NOUN
ap-10062	39	13	in	in	ADP
ap-10062	39	14	nanofluids	nanofluid	NOUN
ap-10062	39	15	was	be	AUX
ap-10062	39	16	conducted	conduct	VERB
ap-10062	39	17	by	by	ADP
ap-10062	39	18	chandrasekar	chandrasekar	PROPN
ap-10062	39	19	and	and	CCONJ
ap-10062	39	20	suresh	suresh	NOUN
ap-10062	40	1	[	[	X
ap-10062	40	2	2	2	NUM
ap-10062	40	3	]	]	PUNCT
ap-10062	40	4	.	.	PUNCT
ap-10062	41	1	the	the	DET
ap-10062	41	2	radiative	radiative	ADJ
ap-10062	41	3	heat	heat	NOUN
ap-10062	41	4	transport	transport	NOUN
ap-10062	41	5	characteristics	characteristic	NOUN
ap-10062	41	6	of	of	ADP
ap-10062	41	7	nanofluids	nanofluid	NOUN
ap-10062	41	8	were	be	AUX
ap-10062	41	9	studied	study	VERB
ap-10062	41	10	by	by	ADP
ap-10062	41	11	cheng	cheng	PROPN
ap-10062	42	1	[	[	X
ap-10062	42	2	3	3	NUM
ap-10062	42	3	]	]	PUNCT
ap-10062	42	4	.	.	PUNCT
ap-10062	43	1	the	the	DET
ap-10062	43	2	non	non	ADJ
ap-10062	43	3	linear	linear	PROPN
ap-10062	43	4	radiative	radiative	ADJ
ap-10062	43	5	heat	heat	NOUN
ap-10062	43	6	transfer	transfer	NOUN
ap-10062	43	7	investigation	investigation	NOUN
ap-10062	43	8	of	of	ADP
ap-10062	43	9	nanofluids	nanofluid	NOUN
ap-10062	43	10	in	in	ADP
ap-10062	43	11	a	a	DET
ap-10062	43	12	curved	curved	ADJ
ap-10062	43	13	tube	tube	NOUN
ap-10062	43	14	was	be	AUX
ap-10062	43	15	the	the	DET
ap-10062	43	16	main	main	ADJ
ap-10062	43	17	focus	focus	NOUN
ap-10062	43	18	of	of	ADP
ap-10062	43	19	the	the	DET
ap-10062	43	20	work	work	NOUN
ap-10062	43	21	of	of	ADP
ap-10062	43	22	huminic	huminic	PROPN
ap-10062	43	23	et	et	PROPN
ap-10062	43	24	al	al	PROPN
ap-10062	43	25	.	.	PUNCT
ap-10062	44	1	[	[	X
ap-10062	44	2	4	4	NUM
ap-10062	44	3	]	]	PUNCT
ap-10062	44	4	.	.	PUNCT
ap-10062	45	1	karimipour	karimipour	NOUN
ap-10062	45	2	et	et	PROPN
ap-10062	45	3	al	al	PROPN
ap-10062	45	4	.	.	PROPN
ap-10062	45	5	investigated	investigate	VERB
ap-10062	45	6	the	the	DET
ap-10062	45	7	radiative	radiative	ADJ
ap-10062	45	8	heat	heat	NOUN
ap-10062	45	9	transfer	transfer	NOUN
ap-10062	45	10	in	in	ADP
ap-10062	45	11	nanofluids	nanofluid	NOUN
ap-10062	45	12	using	use	VERB
ap-10062	45	13	the	the	DET
ap-10062	45	14	extended	extended	ADJ
ap-10062	45	15	mie	mie	PROPN
ap-10062	45	16	theory	theory	NOUN
ap-10062	45	17	[	[	X
ap-10062	45	18	5	5	NUM
ap-10062	45	19	]	]	PUNCT
ap-10062	45	20	.	.	PUNCT
ap-10062	46	1	the	the	DET
ap-10062	46	2	primary	primary	ADJ
ap-10062	46	3	focus	focus	NOUN
ap-10062	46	4	of	of	ADP
ap-10062	46	5	liu	liu	PROPN
ap-10062	46	6	and	and	CCONJ
ap-10062	46	7	zhang	zhang	PROPN
ap-10062	46	8	’s	’s	PART
ap-10062	46	9	research	research	NOUN
ap-10062	46	10	was	be	AUX
ap-10062	46	11	nanofluid	nanofluid	ADJ
ap-10062	46	12	nonlinear	nonlinear	ADJ
ap-10062	46	13	radiative	radiative	ADJ
ap-10062	46	14	heat	heat	NOUN
ap-10062	46	15	transfer	transfer	NOUN
ap-10062	46	16	[	[	X
ap-10062	46	17	6	6	NUM
ap-10062	46	18	]	]	PUNCT
ap-10062	46	19	.	.	PUNCT
ap-10062	47	1	molaali	molaali	AUX
ap-10062	47	2	et	et	PROPN
ap-10062	47	3	al	al	PROPN
ap-10062	47	4	.	.	PROPN
ap-10062	47	5	investigated	investigate	VERB
ap-10062	47	6	nonlinear	nonlinear	ADJ
ap-10062	47	7	radiative	radiative	ADJ
ap-10062	47	8	heat	heat	NOUN
ap-10062	47	9	transfer	transfer	NOUN
ap-10062	47	10	in	in	ADP
ap-10062	47	11	a	a	DET
ap-10062	47	12	cavity	cavity	NOUN
ap-10062	47	13	comprising	comprise	VERB
ap-10062	47	14	porous	porous	ADJ
ap-10062	47	15	media	medium	NOUN
ap-10062	47	16	saturated	saturate	VERB
ap-10062	47	17	with	with	ADP
ap-10062	47	18	a	a	DET
ap-10062	47	19	nanofluid	nanofluid	NOUN
ap-10062	48	1	[	[	X
ap-10062	48	2	7	7	NUM
ap-10062	48	3	]	]	PUNCT
ap-10062	48	4	.	.	PUNCT
ap-10062	49	1	murthy	murthy	PROPN
ap-10062	49	2	and	and	CCONJ
ap-10062	49	3	devi	devi	PROPN
ap-10062	49	4	offered	offer	VERB
ap-10062	49	5	an	an	DET
ap-10062	49	6	overview	overview	NOUN
ap-10062	49	7	of	of	ADP
ap-10062	49	8	non	non	ADJ
ap-10062	49	9	-	-	ADJ
ap-10062	49	10	linear	linear	ADJ
ap-10062	49	11	radiative	radiative	ADJ
ap-10062	49	12	heat	heat	NOUN
ap-10062	49	13	transfer	transfer	NOUN
ap-10062	49	14	studies	study	NOUN
ap-10062	49	15	in	in	ADP
ap-10062	49	16	nanofluids	nanofluid	NOUN
ap-10062	49	17	that	that	PRON
ap-10062	49	18	takes	take	VERB
ap-10062	49	19	shifting	shift	VERB
ap-10062	49	20	thermal	thermal	ADJ
ap-10062	49	21	conductivity	conductivity	NOUN
ap-10062	49	22	and	and	CCONJ
ap-10062	49	23	viscosity	viscosity	NOUN
ap-10062	49	24	into	into	ADP
ap-10062	49	25	consideration	consideration	NOUN
ap-10062	49	26	[	[	X
ap-10062	49	27	8	8	NUM
ap-10062	49	28	]	]	PUNCT
ap-10062	49	29	.	.	PUNCT
ap-10062	50	1	rashidi	rashidi	PROPN
ap-10062	50	2	and	and	CCONJ
ap-10062	50	3	tavakolpour	tavakolpour	NUM
ap-10062	50	4	-	-	PUNCT
ap-10062	50	5	saleh	saleh	NOUN
ap-10062	50	6	investigated	investigate	VERB
ap-10062	50	7	non	non	ADJ
ap-10062	50	8	-	-	ADJ
ap-10062	50	9	linear	linear	ADJ
ap-10062	50	10	radiative	radiative	ADJ
ap-10062	50	11	heat	heat	NOUN
ap-10062	50	12	transfer	transfer	NOUN
ap-10062	50	13	in	in	ADP
ap-10062	50	14	a	a	DET
ap-10062	50	15	nanofluid	nanofluid	ADV
ap-10062	50	16	-	-	PUNCT
ap-10062	50	17	filled	fill	VERB
ap-10062	50	18	inclined	inclined	ADJ
ap-10062	50	19	liddriven	liddriven	VERB
ap-10062	50	20	cavity	cavity	NOUN
ap-10062	50	21	[	[	X
ap-10062	50	22	9	9	NUM
ap-10062	50	23	]	]	PUNCT
ap-10062	50	24	.	.	PUNCT
ap-10062	51	1	rashidi	rashidi	PROPN
ap-10062	51	2	et	et	PROPN
ap-10062	51	3	al	al	PROPN
ap-10062	51	4	.	.	PROPN
ap-10062	51	5	investigated	investigate	VERB
ap-10062	51	6	the	the	DET
ap-10062	51	7	nonlinear	nonlinear	ADJ
ap-10062	51	8	radiative	radiative	ADJ
ap-10062	51	9	heat	heat	NOUN
ap-10062	51	10	transfer	transfer	NOUN
ap-10062	51	11	in	in	ADP
ap-10062	51	12	a	a	DET
ap-10062	51	13	lid	lid	NOUN
ap-10062	51	14	-	-	PUNCT
ap-10062	51	15	driven	drive	VERB
ap-10062	51	16	square	square	ADJ
ap-10062	51	17	cavity	cavity	NOUN
ap-10062	51	18	filled	fill	VERB
ap-10062	51	19	with	with	ADP
ap-10062	51	20	a	a	DET
ap-10062	51	21	nanofluid	nanofluid	NOUN
ap-10062	51	22	composed	compose	VERB
ap-10062	51	23	of	of	ADP
ap-10062	51	24	several	several	ADJ
ap-10062	51	25	types	type	NOUN
ap-10062	51	26	of	of	ADP
ap-10062	51	27	nanoparticles	nanoparticle	NOUN
ap-10062	51	28	[	[	X
ap-10062	51	29	10	10	NUM
ap-10062	51	30	]	]	PUNCT
ap-10062	51	31	.	.	PUNCT
ap-10062	52	1	roslan	roslan	PROPN
ap-10062	52	2	et	et	PROPN
ap-10062	52	3	al	al	PROPN
ap-10062	52	4	.	.	PROPN
ap-10062	52	5	comprehensively	comprehensively	ADV
ap-10062	52	6	analysed	analyse	VERB
ap-10062	52	7	radiation	radiation	NOUN
ap-10062	52	8	heat	heat	NOUN
ap-10062	52	9	transfer	transfer	NOUN
ap-10062	52	10	in	in	ADP
ap-10062	52	11	nanofluids	nanofluid	NOUN
ap-10062	52	12	[	[	X
ap-10062	52	13	11	11	NUM
ap-10062	52	14	]	]	PUNCT
ap-10062	52	15	.	.	PUNCT
ap-10062	53	1	sadeghinezhad	sadeghinezhad	VERB
ap-10062	53	2	and	and	CCONJ
ap-10062	53	3	chamkha	chamkha	NOUN
ap-10062	53	4	investigated	investigate	VERB
ap-10062	53	5	the	the	DET
ap-10062	53	6	nonlinear	nonlinear	ADJ
ap-10062	53	7	radiative	radiative	ADJ
ap-10062	53	8	heat	heat	NOUN
ap-10062	53	9	transfer	transfer	NOUN
ap-10062	53	10	in	in	ADP
ap-10062	53	11	nanofluid	nanofluid	NOUN
ap-10062	53	12	-	-	PUNCT
ap-10062	53	13	filled	fill	VERB
ap-10062	53	14	microchannels	microchannel	NOUN
ap-10062	53	15	with	with	ADP
ap-10062	53	16	different	different	ADJ
ap-10062	53	17	cross	cross	ADJ
ap-10062	53	18	-	-	ADJ
ap-10062	53	19	sectional	sectional	ADJ
ap-10062	53	20	shapes	shape	NOUN
ap-10062	53	21	[	[	X
ap-10062	53	22	12	12	NUM
ap-10062	53	23	]	]	PUNCT
ap-10062	53	24	.	.	PUNCT
ap-10062	54	1	sadri	sadri	ADJ
ap-10062	54	2	,	,	PUNCT
ap-10062	54	3	esfahani	esfahani	PROPN
ap-10062	54	4	,	,	PUNCT
ap-10062	54	5	and	and	CCONJ
ap-10062	54	6	afrand	afrand	PROPN
ap-10062	54	7	investigated	investigate	VERB
ap-10062	54	8	the	the	DET
ap-10062	54	9	non	non	ADJ
ap-10062	54	10	-	-	ADJ
ap-10062	54	11	linear	linear	ADJ
ap-10062	54	12	radiative	radiative	ADJ
ap-10062	54	13	heat	heat	NOUN
ap-10062	54	14	transfer	transfer	NOUN
ap-10062	54	15	of	of	ADP
ap-10062	54	16	a	a	DET
ap-10062	54	17	cuo	cuo	PROPN
ap-10062	54	18	-	-	PUNCT
ap-10062	54	19	mwcnt	mwcnt	PROPN
ap-10062	54	20	/	/	SYM
ap-10062	54	21	water	water	NOUN
ap-10062	54	22	hybrid	hybrid	ADJ
ap-10062	54	23	nanofluid	nanofluid	NOUN
ap-10062	54	24	in	in	ADP
ap-10062	54	25	a	a	DET
ap-10062	54	26	porous	porous	ADJ
ap-10062	54	27	media	medium	NOUN
ap-10062	54	28	[	[	X
ap-10062	54	29	13	13	NUM
ap-10062	54	30	]	]	PUNCT
ap-10062	54	31	.	.	PUNCT
ap-10062	55	1	selimefendigil	selimefendigil	NOUN
ap-10062	55	2	and	and	CCONJ
ap-10062	55	3	ztop	ztop	NOUN
ap-10062	55	4	investigated	investigate	VERB
ap-10062	55	5	natural	natural	ADJ
ap-10062	55	6	convection	convection	NOUN
ap-10062	55	7	utilising	utilise	VERB
ap-10062	55	8	nonlinear	nonlinear	ADJ
ap-10062	55	9	radiation	radiation	NOUN
ap-10062	55	10	in	in	ADP
ap-10062	55	11	a	a	DET
ap-10062	55	12	nanofluid	nanofluid	ADV
ap-10062	55	13	-	-	PUNCT
ap-10062	55	14	filled	fill	VERB
ap-10062	55	15	container	container	NOUN
ap-10062	55	16	[	[	X
ap-10062	55	17	14	14	NUM
ap-10062	55	18	]	]	SYM
ap-10062	55	19	.	.	PUNCT
ap-10062	56	1	vafaei	vafaei	PROPN
ap-10062	56	2	et	et	PROPN
ap-10062	56	3	al	al	PROPN
ap-10062	56	4	.	.	PROPN
ap-10062	56	5	investigated	investigate	VERB
ap-10062	56	6	nonlinear	nonlinear	ADJ
ap-10062	56	7	radiative	radiative	ADJ
ap-10062	56	8	heat	heat	NOUN
ap-10062	56	9	transfer	transfer	NOUN
ap-10062	56	10	in	in	ADP
ap-10062	56	11	nanofluids	nanofluid	NOUN
ap-10062	56	12	containing	contain	VERB
ap-10062	56	13	nanoparticles	nanoparticle	NOUN
ap-10062	56	14	of	of	ADP
ap-10062	56	15	various	various	ADJ
ap-10062	56	16	shapes	shape	NOUN
ap-10062	56	17	[	[	X
ap-10062	56	18	15	15	NUM
ap-10062	56	19	]	]	PUNCT
ap-10062	56	20	.	.	PUNCT
ap-10062	57	1	xu	xu	PROPN
ap-10062	57	2	et	et	PROPN
ap-10062	58	1	al	al	PROPN
ap-10062	58	2	.	.	PROPN
ap-10062	58	3	investigated	investigate	VERB
ap-10062	58	4	non	non	ADJ
ap-10062	58	5	-	-	ADJ
ap-10062	58	6	linear	linear	ADJ
ap-10062	58	7	radiation	radiation	NOUN
ap-10062	58	8	heat	heat	NOUN
ap-10062	58	9	transfer	transfer	NOUN
ap-10062	58	10	in	in	ADP
ap-10062	58	11	nanofluids	nanofluid	NOUN
ap-10062	58	12	using	use	VERB
ap-10062	58	13	a	a	DET
ap-10062	58	14	two	two	NUM
ap-10062	58	15	-	-	PUNCT
ap-10062	58	16	phase	phase	NOUN
ap-10062	58	17	model	model	NOUN
ap-10062	58	18	[	[	X
ap-10062	58	19	16	16	NUM
ap-10062	58	20	]	]	PUNCT
ap-10062	58	21	.	.	PUNCT
ap-10062	59	1	zhang	zhang	PROPN
ap-10062	59	2	et	et	PROPN
ap-10062	59	3	al	al	PROPN
ap-10062	59	4	.	.	PROPN
ap-10062	59	5	investigated	investigate	VERB
ap-10062	59	6	how	how	SCONJ
ap-10062	59	7	radiation	radiation	NOUN
ap-10062	59	8	affects	affect	VERB
ap-10062	59	9	natural	natural	ADJ
ap-10062	59	10	convection	convection	NOUN
ap-10062	59	11	in	in	ADP
ap-10062	59	12	a	a	DET
ap-10062	59	13	square	square	ADJ
ap-10062	59	14	cage	cage	NOUN
ap-10062	59	15	containing	contain	VERB
ap-10062	59	16	a	a	DET
ap-10062	59	17	nanofluid	nanofluid	NOUN
ap-10062	60	1	[	[	X
ap-10062	60	2	17	17	NUM
ap-10062	60	3	]	]	PUNCT
ap-10062	60	4	.	.	PUNCT
ap-10062	61	1	zhang	zhang	PROPN
ap-10062	61	2	and	and	CCONJ
ap-10062	61	3	zheng	zheng	PROPN
ap-10062	61	4	published	publish	VERB
ap-10062	61	5	a	a	DET
ap-10062	61	6	novel	novel	ADJ
ap-10062	61	7	theory	theory	NOUN
ap-10062	61	8	for	for	ADP
ap-10062	61	9	non	non	ADJ
ap-10062	61	10	-	-	ADJ
ap-10062	61	11	linear	linear	ADJ
ap-10062	61	12	radiation	radiation	NOUN
ap-10062	61	13	heat	heat	NOUN
ap-10062	61	14	transfer	transfer	NOUN
ap-10062	61	15	in	in	ADP
ap-10062	61	16	nanofluids	nanofluid	NOUN
ap-10062	61	17	[	[	X
ap-10062	61	18	18	18	NUM
ap-10062	61	19	]	]	PUNCT
ap-10062	61	20	.	.	PUNCT
ap-10062	62	1	n.	n.	PROPN
ap-10062	62	2	v.	v.	PROPN
ap-10062	62	3	n.	n.	PROPN
ap-10062	62	4	babu	babu	PROPN
ap-10062	62	5	et	et	PROPN
ap-10062	62	6	al	al	PROPN
ap-10062	62	7	.	.	PROPN
ap-10062	62	8	studied	study	VERB
ap-10062	62	9	the	the	DET
ap-10062	62	10	heat	heat	NOUN
ap-10062	62	11	and	and	CCONJ
ap-10062	62	12	mass	mass	NOUN
ap-10062	62	13	transfer	transfer	NOUN
ap-10062	62	14	effects	effect	NOUN
ap-10062	62	15	and	and	CCONJ
ap-10062	62	16	their	their	PRON
ap-10062	62	17	findings	finding	NOUN
ap-10062	62	18	had	have	VERB
ap-10062	62	19	a	a	DET
ap-10062	62	20	significant	significant	ADJ
ap-10062	62	21	impact	impact	NOUN
ap-10062	62	22	on	on	ADP
ap-10062	62	23	understanding	understand	VERB
ap-10062	62	24	the	the	DET
ap-10062	62	25	nature	nature	NOUN
ap-10062	62	26	of	of	ADP
ap-10062	62	27	radiative	radiative	ADJ
ap-10062	62	28	heat	heat	NOUN
ap-10062	62	29	transfer	transfer	NOUN
ap-10062	62	30	in	in	ADP
ap-10062	62	31	nanofluids	nanofluid	NOUN
ap-10062	63	1	[	[	X
ap-10062	63	2	19–23	19–23	NUM
ap-10062	63	3	]	]	PUNCT
ap-10062	63	4	.	.	PUNCT
ap-10062	64	1	s.	s.	PROPN
ap-10062	64	2	a.	a.	PROPN
ap-10062	64	3	a.	a.	PROPN
ap-10062	64	4	shah	shah	PROPN
ap-10062	64	5	et	et	PROPN
ap-10062	64	6	al	al	PROPN
ap-10062	64	7	.	.	PROPN
ap-10062	64	8	studied	study	VERB
ap-10062	64	9	the	the	DET
ap-10062	64	10	effects	effect	NOUN
ap-10062	64	11	of	of	ADP
ap-10062	64	12	convection	convection	NOUN
ap-10062	64	13	on	on	ADP
ap-10062	64	14	the	the	DET
ap-10062	64	15	flow	flow	NOUN
ap-10062	64	16	of	of	ADP
ap-10062	64	17	a	a	DET
ap-10062	64	18	prandtl	prandtl	NOUN
ap-10062	64	19	hybrid	hybrid	ADJ
ap-10062	64	20	nanofluid	nanofluid	NOUN
ap-10062	64	21	with	with	ADP
ap-10062	64	22	a	a	DET
ap-10062	64	23	chemical	chemical	NOUN
ap-10062	64	24	reaction	reaction	NOUN
ap-10062	64	25	and	and	CCONJ
ap-10062	64	26	motile	motile	NOUN
ap-10062	64	27	microorganisms	microorganism	NOUN
ap-10062	64	28	over	over	ADP
ap-10062	64	29	a	a	DET
ap-10062	64	30	stretching	stretch	VERB
ap-10062	64	31	sheet	sheet	NOUN
ap-10062	64	32	[	[	X
ap-10062	64	33	24	24	NUM
ap-10062	64	34	]	]	PUNCT
ap-10062	64	35	.	.	PUNCT
ap-10062	65	1	numerous	numerous	ADJ
ap-10062	65	2	significant	significant	ADJ
ap-10062	65	3	investigations	investigation	NOUN
ap-10062	65	4	undertaken	undertake	VERB
ap-10062	65	5	in	in	ADP
ap-10062	65	6	this	this	DET
ap-10062	65	7	domain	domain	NOUN
ap-10062	65	8	are	be	AUX
ap-10062	65	9	included	include	VERB
ap-10062	65	10	in	in	ADP
ap-10062	65	11	the	the	DET
ap-10062	65	12	references	reference	NOUN
ap-10062	65	13	[	[	X
ap-10062	65	14	25–28	25–28	NOUN
ap-10062	65	15	]	]	PUNCT
ap-10062	65	16	.	.	PUNCT
ap-10062	66	1	according	accord	VERB
ap-10062	66	2	to	to	ADP
ap-10062	66	3	a	a	DET
ap-10062	66	4	study	study	NOUN
ap-10062	66	5	of	of	ADP
ap-10062	66	6	the	the	DET
ap-10062	66	7	works	work	NOUN
ap-10062	66	8	described	describe	VERB
ap-10062	66	9	above	above	ADV
ap-10062	66	10	,	,	PUNCT
ap-10062	66	11	relatively	relatively	ADV
ap-10062	66	12	few	few	ADJ
ap-10062	66	13	studies	study	NOUN
ap-10062	66	14	have	have	AUX
ap-10062	66	15	documented	document	VERB
ap-10062	66	16	the	the	DET
ap-10062	66	17	threedimensional	threedimensional	ADJ
ap-10062	66	18	analysis	analysis	NOUN
ap-10062	66	19	of	of	ADP
ap-10062	66	20	nanofluid	nanofluid	ADJ
ap-10062	66	21	flow	flow	NOUN
ap-10062	66	22	in	in	ADP
ap-10062	66	23	the	the	DET
ap-10062	66	24	presence	presence	NOUN
ap-10062	66	25	of	of	ADP
ap-10062	66	26	a	a	DET
ap-10062	66	27	magnetic	magnetic	ADJ
ap-10062	66	28	field	field	NOUN
ap-10062	66	29	and	and	CCONJ
ap-10062	66	30	a	a	DET
ap-10062	66	31	non	non	ADJ
ap-10062	66	32	-	-	ADJ
ap-10062	66	33	radiative	radiative	ADJ
ap-10062	66	34	heat	heat	NOUN
ap-10062	66	35	flux	flux	NOUN
ap-10062	66	36	.	.	PUNCT
ap-10062	67	1	no	no	DET
ap-10062	67	2	reports	report	NOUN
ap-10062	67	3	on	on	ADP
ap-10062	67	4	the	the	DET
ap-10062	67	5	combined	combine	VERB
ap-10062	67	6	effects	effect	NOUN
ap-10062	67	7	of	of	ADP
ap-10062	67	8	thermal	thermal	ADJ
ap-10062	67	9	diffusion	diffusion	NOUN
ap-10062	67	10	(	(	PUNCT
ap-10062	67	11	soret	soret	PROPN
ap-10062	67	12	)	)	PUNCT
ap-10062	67	13	and	and	CCONJ
ap-10062	67	14	diffusion	diffusion	NOUN
ap-10062	67	15	thermoeffect	thermoeffect	NOUN
ap-10062	67	16	(	(	PUNCT
ap-10062	67	17	dufour	dufour	PROPN
ap-10062	67	18	)	)	PUNCT
ap-10062	67	19	on	on	ADP
ap-10062	67	20	steady	steady	ADJ
ap-10062	67	21	,	,	PUNCT
ap-10062	67	22	three	three	NUM
ap-10062	67	23	-	-	PUNCT
ap-10062	67	24	dimensional	dimensional	ADJ
ap-10062	67	25	,	,	PUNCT
ap-10062	67	26	incompressible	incompressible	ADJ
ap-10062	67	27	,	,	PUNCT
ap-10062	67	28	viscous	viscous	ADJ
ap-10062	67	29	,	,	PUNCT
ap-10062	67	30	electrically	electrically	ADV
ap-10062	67	31	conducting	conduct	VERB
ap-10062	67	32	,	,	PUNCT
ap-10062	67	33	non	non	ADJ
ap-10062	67	34	-	-	ADJ
ap-10062	67	35	newtonian	newtonian	ADJ
ap-10062	67	36	upper	upper	ADV
ap-10062	67	37	-	-	PUNCT
ap-10062	67	38	convected	convect	VERB
ap-10062	67	39	maxwellnanofluid	maxwellnanofluid	ADJ
ap-10062	67	40	flow	flow	NOUN
ap-10062	67	41	over	over	ADP
ap-10062	67	42	a	a	DET
ap-10062	67	43	bi	bi	ADJ
ap-10062	67	44	-	-	ADJ
ap-10062	67	45	directional	directional	ADJ
ap-10062	67	46	stretching	stretching	NOUN
ap-10062	67	47	sheet	sheet	NOUN
ap-10062	67	48	(	(	PUNCT
ap-10062	67	49	surface	surface	NOUN
ap-10062	67	50	)	)	PUNCT
ap-10062	67	51	in	in	ADP
ap-10062	67	52	the	the	DET
ap-10062	67	53	presence	presence	NOUN
ap-10062	67	54	of	of	ADP
ap-10062	67	55	non	non	ADJ
ap-10062	67	56	-	-	ADJ
ap-10062	67	57	linear	linear	ADJ
ap-10062	67	58	radiative	radiative	ADJ
ap-10062	67	59	heat	heat	NOUN
ap-10062	67	60	flux	flux	NOUN
ap-10062	67	61	,	,	PUNCT
ap-10062	67	62	brownian	brownian	ADJ
ap-10062	67	63	motion	motion	NOUN
ap-10062	67	64	,	,	PUNCT
ap-10062	67	65	thermophoresis	thermophoresis	NOUN
ap-10062	67	66	,	,	PUNCT
ap-10062	67	67	thermal	thermal	ADJ
ap-10062	67	68	,	,	PUNCT
ap-10062	67	69	and	and	CCONJ
ap-10062	67	70	mass	mass	ADJ
ap-10062	67	71	biot	biot	ADJ
ap-10062	67	72	numbers	number	NOUN
ap-10062	67	73	,	,	PUNCT
ap-10062	67	74	have	have	AUX
ap-10062	67	75	yet	yet	ADV
ap-10062	67	76	been	be	AUX
ap-10062	67	77	published	publish	VERB
ap-10062	67	78	in	in	ADP
ap-10062	67	79	the	the	DET
ap-10062	67	80	literature	literature	NOUN
ap-10062	67	81	.	.	PUNCT
ap-10062	68	1	this	this	DET
ap-10062	68	2	model	model	NOUN
ap-10062	68	3	is	be	AUX
ap-10062	68	4	an	an	DET
ap-10062	68	5	enhanced	enhanced	ADJ
ap-10062	68	6	version	version	NOUN
ap-10062	68	7	of	of	ADP
ap-10062	68	8	a	a	DET
ap-10062	68	9	previously	previously	ADV
ap-10062	68	10	published	publish	VERB
ap-10062	68	11	research	research	NOUN
ap-10062	68	12	.	.	PUNCT
ap-10062	69	1	the	the	DET
ap-10062	69	2	outcomes	outcome	NOUN
ap-10062	69	3	of	of	ADP
ap-10062	69	4	the	the	DET
ap-10062	69	5	current	current	ADJ
ap-10062	69	6	numerical	numerical	ADJ
ap-10062	69	7	simulations	simulation	NOUN
ap-10062	69	8	are	be	AUX
ap-10062	69	9	also	also	ADV
ap-10062	69	10	different	different	ADJ
ap-10062	69	11	.	.	PUNCT
ap-10062	70	1	2	2	X
ap-10062	70	2	.	.	X
ap-10062	70	3	mathematical	mathematical	ADJ
ap-10062	70	4	formulation	formulation	NOUN
ap-10062	70	5	this	this	DET
ap-10062	70	6	section	section	NOUN
ap-10062	70	7	covers	cover	VERB
ap-10062	70	8	the	the	DET
ap-10062	70	9	effects	effect	NOUN
ap-10062	70	10	of	of	ADP
ap-10062	70	11	thermophoresis	thermophoresis	NOUN
ap-10062	70	12	,	,	PUNCT
ap-10062	70	13	brownian	brownian	ADJ
ap-10062	70	14	motion	motion	NOUN
ap-10062	70	15	,	,	PUNCT
ap-10062	70	16	thermal	thermal	ADJ
ap-10062	70	17	diffusion	diffusion	NOUN
ap-10062	70	18	,	,	PUNCT
ap-10062	70	19	and	and	CCONJ
ap-10062	70	20	the	the	DET
ap-10062	70	21	diffusion	diffusion	NOUN
ap-10062	70	22	thermoeffect	thermoeffect	NOUN
ap-10062	70	23	on	on	ADP
ap-10062	70	24	three	three	NUM
ap-10062	70	25	-	-	PUNCT
ap-10062	70	26	dimensional	dimensional	ADJ
ap-10062	70	27	,	,	PUNCT
ap-10062	70	28	steady	steady	ADJ
ap-10062	70	29	,	,	PUNCT
ap-10062	70	30	incompressible	incompressible	ADJ
ap-10062	70	31	,	,	PUNCT
ap-10062	70	32	viscous	viscous	ADJ
ap-10062	70	33	,	,	PUNCT
ap-10062	70	34	non	non	ADJ
ap-10062	70	35	-	-	ADJ
ap-10062	70	36	newtonian	newtonian	ADJ
ap-10062	70	37	maxwell	maxwell	PROPN
ap-10062	70	38	fluid	fluid	NOUN
ap-10062	70	39	flow	flow	NOUN
ap-10062	70	40	over	over	ADP
ap-10062	70	41	a	a	DET
ap-10062	70	42	bidirectional	bidirectional	ADJ
ap-10062	70	43	stretching	stretching	NOUN
ap-10062	70	44	.	.	PUNCT
ap-10062	71	1	the	the	DET
ap-10062	71	2	shape	shape	NOUN
ap-10062	71	3	of	of	ADP
ap-10062	71	4	the	the	DET
ap-10062	71	5	fluid	fluid	ADJ
ap-10062	71	6	flow	flow	NOUN
ap-10062	71	7	is	be	AUX
ap-10062	71	8	shown	show	VERB
ap-10062	71	9	in	in	ADP
ap-10062	71	10	figure	figure	NOUN
ap-10062	71	11	1	1	NUM
ap-10062	71	12	.	.	PUNCT
ap-10062	72	1	the	the	DET
ap-10062	72	2	following	follow	VERB
ap-10062	72	3	premises	premise	NOUN
ap-10062	72	4	are	be	AUX
ap-10062	72	5	assumed	assume	VERB
ap-10062	72	6	in	in	ADP
ap-10062	72	7	order	order	NOUN
ap-10062	72	8	to	to	PART
ap-10062	72	9	undertake	undertake	VERB
ap-10062	72	10	this	this	DET
ap-10062	72	11	inquiry	inquiry	NOUN
ap-10062	72	12	:	:	PUNCT
ap-10062	72	13	(	(	PUNCT
ap-10062	72	14	1	1	NUM
ap-10062	72	15	.	.	PUNCT
ap-10062	72	16	)	)	PUNCT
ap-10062	73	1	it	it	PRON
ap-10062	73	2	is	be	AUX
ap-10062	73	3	thought	think	VERB
ap-10062	73	4	that	that	SCONJ
ap-10062	73	5	the	the	DET
ap-10062	73	6	magnetic	magnetic	ADJ
ap-10062	73	7	reynolds	reynolds	PROPN
ap-10062	73	8	number	number	NOUN
ap-10062	73	9	should	should	AUX
ap-10062	73	10	be	be	AUX
ap-10062	73	11	as	as	ADV
ap-10062	73	12	low	low	ADJ
ap-10062	73	13	as	as	ADP
ap-10062	73	14	possible	possible	ADJ
ap-10062	73	15	in	in	ADP
ap-10062	73	16	order	order	NOUN
ap-10062	73	17	to	to	PART
ap-10062	73	18	ignore	ignore	VERB
ap-10062	73	19	the	the	DET
ap-10062	73	20	generated	generate	VERB
ap-10062	73	21	magnetic	magnetic	ADJ
ap-10062	73	22	field	field	NOUN
ap-10062	73	23	.	.	PUNCT
ap-10062	74	1	(	(	PUNCT
ap-10062	74	2	2	2	NUM
ap-10062	74	3	.	.	PUNCT
ap-10062	74	4	)	)	PUNCT
ap-10062	75	1	it	it	PRON
ap-10062	75	2	is	be	AUX
ap-10062	75	3	presumed	presume	VERB
ap-10062	75	4	that	that	SCONJ
ap-10062	75	5	the	the	DET
ap-10062	75	6	sheet	sheet	NOUN
ap-10062	75	7	moves	move	VERB
ap-10062	75	8	at	at	ADP
ap-10062	75	9	velocities	velocity	NOUN
ap-10062	75	10	uw(x	uw(x	ADJ
ap-10062	75	11	)	)	PUNCT
ap-10062	76	1	=	=	SYM
ap-10062	76	2	ax	ax	NOUN
ap-10062	76	3	and	and	CCONJ
ap-10062	76	4	vw(y	vw(y	NOUN
ap-10062	76	5	)	)	PUNCT
ap-10062	76	6	=	=	PUNCT
ap-10062	76	7	by	by	ADP
ap-10062	76	8	along	along	ADP
ap-10062	76	9	the	the	DET
ap-10062	76	10	x	x	NOUN
ap-10062	76	11	and	and	CCONJ
ap-10062	76	12	y	y	PROPN
ap-10062	76	13	axes	axis	NOUN
ap-10062	76	14	,	,	PUNCT
ap-10062	76	15	respectively	respectively	ADV
ap-10062	76	16	.	.	PUNCT
ap-10062	77	1	(	(	PUNCT
ap-10062	77	2	3	3	NUM
ap-10062	77	3	.	.	PUNCT
ap-10062	77	4	)	)	PUNCT
ap-10062	78	1	in	in	ADP
ap-10062	78	2	this	this	DET
ap-10062	78	3	study	study	NOUN
ap-10062	78	4	,	,	PUNCT
ap-10062	78	5	the	the	DET
ap-10062	78	6	flow	flow	NOUN
ap-10062	78	7	is	be	AUX
ap-10062	78	8	subjected	subject	VERB
ap-10062	78	9	to	to	ADP
ap-10062	78	10	a	a	DET
ap-10062	78	11	magnetic	magnetic	ADJ
ap-10062	78	12	field	field	NOUN
ap-10062	78	13	with	with	ADP
ap-10062	78	14	a	a	DET
ap-10062	78	15	strength	strength	NOUN
ap-10062	78	16	of	of	ADP
ap-10062	78	17	bo	bo	PROPN
ap-10062	78	18	.	.	PUNCT
ap-10062	79	1	(	(	PUNCT
ap-10062	79	2	4	4	NUM
ap-10062	79	3	.	.	PUNCT
ap-10062	79	4	)	)	PUNCT
ap-10062	79	5	ohmic	ohmic	ADJ
ap-10062	79	6	heating	heating	NOUN
ap-10062	79	7	,	,	PUNCT
ap-10062	79	8	viscous	viscous	ADJ
ap-10062	79	9	dissipation	dissipation	NOUN
ap-10062	79	10	,	,	PUNCT
ap-10062	79	11	heat	heat	NOUN
ap-10062	79	12	source	source	NOUN
ap-10062	79	13	,	,	PUNCT
ap-10062	79	14	and	and	CCONJ
ap-10062	79	15	joule	joule	NOUN
ap-10062	79	16	heating	heating	NOUN
ap-10062	79	17	effects	effect	NOUN
ap-10062	79	18	are	be	AUX
ap-10062	79	19	neglected	neglect	VERB
ap-10062	79	20	in	in	ADP
ap-10062	79	21	the	the	DET
ap-10062	79	22	energy	energy	NOUN
ap-10062	79	23	equation	equation	NOUN
ap-10062	79	24	and	and	CCONJ
ap-10062	79	25	the	the	DET
ap-10062	79	26	effects	effect	NOUN
ap-10062	79	27	of	of	ADP
ap-10062	79	28	thermophoresis	thermophoresis	NOUN
ap-10062	79	29	,	,	PUNCT
ap-10062	79	30	brownian	brownian	ADJ
ap-10062	79	31	motion	motion	NOUN
ap-10062	79	32	,	,	PUNCT
ap-10062	79	33	and	and	CCONJ
ap-10062	79	34	dufour	dufour	PROPN
ap-10062	79	35	effects	effect	NOUN
ap-10062	79	36	are	be	AUX
ap-10062	79	37	assumed	assume	VERB
ap-10062	79	38	in	in	ADP
ap-10062	79	39	the	the	DET
ap-10062	79	40	energy	energy	NOUN
ap-10062	79	41	equation	equation	NOUN
ap-10062	79	42	.	.	PUNCT
ap-10062	80	1	(	(	PUNCT
ap-10062	80	2	5	5	NUM
ap-10062	80	3	.	.	PUNCT
ap-10062	80	4	)	)	PUNCT
ap-10062	81	1	in	in	ADP
ap-10062	81	2	the	the	DET
ap-10062	81	3	species	specie	NOUN
ap-10062	81	4	concentration	concentration	NOUN
ap-10062	81	5	equation	equation	NOUN
ap-10062	81	6	,	,	PUNCT
ap-10062	81	7	the	the	DET
ap-10062	81	8	effect	effect	NOUN
ap-10062	81	9	of	of	ADP
ap-10062	81	10	thermal	thermal	ADJ
ap-10062	81	11	diffusion	diffusion	NOUN
ap-10062	81	12	is	be	AUX
ap-10062	81	13	considered	consider	VERB
ap-10062	81	14	and	and	CCONJ
ap-10062	81	15	chemical	chemical	ADJ
ap-10062	81	16	reaction	reaction	NOUN
ap-10062	81	17	effect	effect	NOUN
ap-10062	81	18	is	be	AUX
ap-10062	81	19	neglected	neglect	VERB
ap-10062	81	20	.	.	PUNCT
ap-10062	82	1	(	(	PUNCT
ap-10062	82	2	6	6	NUM
ap-10062	82	3	.	.	PUNCT
ap-10062	82	4	)	)	PUNCT
ap-10062	82	5	let	let	VERB
ap-10062	82	6	tw	tw	NOUN
ap-10062	82	7	be	be	AUX
ap-10062	82	8	the	the	DET
ap-10062	82	9	constant	constant	ADJ
ap-10062	82	10	temperature	temperature	NOUN
ap-10062	82	11	and	and	CCONJ
ap-10062	82	12	t∞	t∞	NOUN
ap-10062	82	13	the	the	DET
ap-10062	82	14	fluid	fluid	ADJ
ap-10062	82	15	temperature	temperature	NOUN
ap-10062	82	16	exterior	exterior	NOUN
ap-10062	82	17	to	to	ADP
ap-10062	82	18	the	the	DET
ap-10062	82	19	thermal	thermal	ADJ
ap-10062	82	20	boundary	boundary	ADJ
ap-10062	82	21	layer	layer	NOUN
ap-10062	82	22	.	.	PUNCT
ap-10062	83	1	(	(	PUNCT
ap-10062	83	2	7	7	NUM
ap-10062	83	3	.	.	PUNCT
ap-10062	83	4	)	)	PUNCT
ap-10062	84	1	the	the	DET
ap-10062	84	2	convective	convective	ADJ
ap-10062	84	3	boundary	boundary	ADJ
ap-10062	84	4	condition	condition	NOUN
ap-10062	84	5	is	be	AUX
ap-10062	84	6	used	use	VERB
ap-10062	84	7	when	when	SCONJ
ap-10062	84	8	the	the	DET
ap-10062	84	9	surface	surface	NOUN
ap-10062	84	10	of	of	ADP
ap-10062	84	11	a	a	DET
ap-10062	84	12	sheet	sheet	NOUN
ap-10062	84	13	is	be	AUX
ap-10062	84	14	heated	heat	VERB
ap-10062	84	15	by	by	ADP
ap-10062	84	16	a	a	DET
ap-10062	84	17	hot	hot	ADJ
ap-10062	84	18	fluid	fluid	NOUN
ap-10062	84	19	with	with	ADP
ap-10062	84	20	a	a	DET
ap-10062	84	21	uniform	uniform	ADJ
ap-10062	84	22	temperature	temperature	NOUN
ap-10062	84	23	tf	tf	INTJ
ap-10062	84	24	,	,	PUNCT
ap-10062	84	25	concentration	concentration	NOUN
ap-10062	84	26	φf	φf	ADP
ap-10062	84	27	,	,	PUNCT
ap-10062	84	28	convective	convective	ADJ
ap-10062	84	29	heat	heat	NOUN
ap-10062	84	30	transfer	transfer	NOUN
ap-10062	84	31	coefficient	coefficient	NOUN
ap-10062	84	32	β1	β1	PROPN
ap-10062	84	33	and	and	CCONJ
ap-10062	84	34	mass	mass	NOUN
ap-10062	84	35	transfer	transfer	NOUN
ap-10062	84	36	coefficient	coefficient	NOUN
ap-10062	84	37	β2	β2	NOUN
ap-10062	84	38	.	.	PUNCT
ap-10062	85	1	468	468	NUM
ap-10062	85	2	vol	vol	NOUN
ap-10062	85	3	.	.	PUNCT
ap-10062	86	1	65	65	NUM
ap-10062	86	2	no	no	NOUN
ap-10062	86	3	.	.	PUNCT
ap-10062	87	1	4/2025	4/2025	PROPN
ap-10062	87	2	mathematical	mathematical	ADJ
ap-10062	87	3	modelling	modelling	NOUN
ap-10062	87	4	and	and	CCONJ
ap-10062	87	5	analysis	analysis	NOUN
ap-10062	87	6	of	of	ADP
ap-10062	87	7	three	three	NUM
ap-10062	87	8	-	-	PUNCT
ap-10062	87	9	dimensional	dimensional	ADJ
ap-10062	87	10	.	.	PUNCT
ap-10062	87	11	.	.	PUNCT
ap-10062	87	12	.	.	PUNCT
ap-10062	88	1	figure	figure	NOUN
ap-10062	88	2	1	1	NUM
ap-10062	88	3	.	.	PUNCT
ap-10062	88	4	graphical	graphical	ADJ
ap-10062	88	5	representation	representation	NOUN
ap-10062	88	6	of	of	ADP
ap-10062	88	7	nano	nano	NOUN
ap-10062	88	8	-	-	PUNCT
ap-10062	88	9	maxwell	maxwell	PROPN
ap-10062	88	10	fluid	fluid	NOUN
ap-10062	88	11	flow	flow	NOUN
ap-10062	88	12	.	.	PUNCT
ap-10062	89	1	the	the	DET
ap-10062	89	2	equation	equation	NOUN
ap-10062	89	3	for	for	ADP
ap-10062	89	4	continuity	continuity	NOUN
ap-10062	89	5	:	:	PUNCT
ap-10062	89	6	∂u	∂u	PROPN
ap-10062	89	7	∂x	∂x	PROPN
ap-10062	89	8	+	+	CCONJ
ap-10062	89	9	∂v	∂v	PROPN
ap-10062	90	1	∂y	∂y	PROPN
ap-10062	90	2	+	+	PUNCT
ap-10062	90	3	∂w	∂w	PROPN
ap-10062	90	4	∂z	∂z	PROPN
ap-10062	90	5	=	=	NOUN
ap-10062	90	6	0	0	PROPN
ap-10062	90	7	.	.	PUNCT
ap-10062	91	1	(	(	PUNCT
ap-10062	91	2	1	1	X
ap-10062	91	3	)	)	PUNCT
ap-10062	91	4	momentum	momentum	NOUN
ap-10062	91	5	equation	equation	NOUN
ap-10062	91	6	:	:	PUNCT
ap-10062	91	7	u	u	NOUN
ap-10062	91	8	(	(	PUNCT
ap-10062	91	9	∂u	∂u	PROPN
ap-10062	91	10	∂x	∂x	PROPN
ap-10062	91	11	)	)	PUNCT
ap-10062	92	1	+	+	CCONJ
ap-10062	92	2	v	v	X
ap-10062	92	3	(	(	PUNCT
ap-10062	92	4	∂u	∂u	PROPN
ap-10062	92	5	∂y	∂y	PROPN
ap-10062	92	6	)	)	PUNCT
ap-10062	93	1	+	+	CCONJ
ap-10062	93	2	w	w	X
ap-10062	93	3	(	(	PUNCT
ap-10062	93	4	∂u	∂u	PROPN
ap-10062	93	5	∂z	∂z	PROPN
ap-10062	93	6	)	)	PUNCT
ap-10062	94	1	+	+	CCONJ
ap-10062	94	2	λ	λ	X
ap-10062	94	3			PROPN
ap-10062	94	4	u2	u2	PROPN
ap-10062	94	5	(	(	PUNCT
ap-10062	94	6	∂2u	∂2u	ADJ
ap-10062	94	7	∂x2	∂x2	NOUN
ap-10062	94	8	)	)	PUNCT
ap-10062	95	1	+	+	CCONJ
ap-10062	95	2	v2	v2	X
ap-10062	95	3	(	(	PUNCT
ap-10062	95	4	∂2u	∂2u	PROPN
ap-10062	95	5	∂y2	∂y2	PROPN
ap-10062	95	6	)	)	PUNCT
ap-10062	96	1	+	+	NUM
ap-10062	96	2	w2	w2	NOUN
ap-10062	96	3	(	(	PUNCT
ap-10062	96	4	∂2u	∂2u	PROPN
ap-10062	96	5	∂z2	∂z2	PROPN
ap-10062	96	6	)	)	PUNCT
ap-10062	97	1	+	+	CCONJ
ap-10062	97	2	2uv	2uv	ADJ
ap-10062	97	3	(	(	PUNCT
ap-10062	97	4	∂2u	∂2u	ADJ
ap-10062	97	5	∂x∂y	∂x∂y	PROPN
ap-10062	97	6	)	)	PUNCT
ap-10062	98	1	+	+	CCONJ
ap-10062	98	2	2vw	2vw	ADJ
ap-10062	98	3	(	(	PUNCT
ap-10062	98	4	∂2u	∂2u	X
ap-10062	98	5	∂y∂z	∂y∂z	PROPN
ap-10062	98	6	)	)	PUNCT
ap-10062	99	1	+	+	CCONJ
ap-10062	99	2	2uw	2uw	ADJ
ap-10062	99	3	(	(	PUNCT
ap-10062	99	4	∂2u	∂2u	PROPN
ap-10062	99	5	∂x∂z	∂x∂z	PROPN
ap-10062	99	6	)	)	PUNCT
ap-10062	99	7			PROPN
ap-10062	99	8	=	=	PROPN
ap-10062	99	9	∂2u	∂2u	PROPN
ap-10062	99	10	∂z2	∂z2	PROPN
ap-10062	99	11	−	−	PROPN
ap-10062	99	12	(	(	PUNCT
ap-10062	99	13	σb2	σb2	NOUN
ap-10062	99	14	o	o	NOUN
ap-10062	99	15	ρ	ρ	PROPN
ap-10062	99	16	)	)	PUNCT
ap-10062	99	17	u	u	NOUN
ap-10062	99	18	,	,	PUNCT
ap-10062	99	19	(	(	PUNCT
ap-10062	99	20	2	2	X
ap-10062	99	21	)	)	PUNCT
ap-10062	99	22	v	v	NOUN
ap-10062	99	23	(	(	PUNCT
ap-10062	99	24	∂v	∂v	NOUN
ap-10062	99	25	∂x	∂x	PROPN
ap-10062	99	26	)	)	PUNCT
ap-10062	100	1	+	+	CCONJ
ap-10062	100	2	v	v	X
ap-10062	100	3	(	(	PUNCT
ap-10062	100	4	∂v	∂v	PROPN
ap-10062	100	5	∂y	∂y	PROPN
ap-10062	100	6	)	)	PUNCT
ap-10062	101	1	+	+	CCONJ
ap-10062	101	2	w	w	X
ap-10062	101	3	(	(	PUNCT
ap-10062	101	4	∂v	∂v	PROPN
ap-10062	101	5	∂z	∂z	PROPN
ap-10062	101	6	)	)	PUNCT
ap-10062	102	1	+	+	CCONJ
ap-10062	103	1	λ	λ	X
ap-10062	103	2			PROPN
ap-10062	103	3	v2	v2	PROPN
ap-10062	103	4	(	(	PUNCT
ap-10062	103	5	∂2v	∂2v	X
ap-10062	103	6	∂x2	∂x2	NOUN
ap-10062	103	7	)	)	PUNCT
ap-10062	104	1	+	+	CCONJ
ap-10062	104	2	v2	v2	NOUN
ap-10062	104	3	(	(	PUNCT
ap-10062	104	4	∂2v	∂2v	PROPN
ap-10062	104	5	∂y2	∂y2	NOUN
ap-10062	104	6	)	)	PUNCT
ap-10062	105	1	+	+	NUM
ap-10062	105	2	w2	w2	NOUN
ap-10062	105	3	(	(	PUNCT
ap-10062	105	4	∂2v	∂2v	PROPN
ap-10062	105	5	∂z2	∂z2	PROPN
ap-10062	105	6	)	)	PUNCT
ap-10062	106	1	+	+	CCONJ
ap-10062	106	2	2uv	2uv	ADJ
ap-10062	106	3	(	(	PUNCT
ap-10062	106	4	∂2v	∂2v	NOUN
ap-10062	106	5	∂x∂y	∂x∂y	PROPN
ap-10062	106	6	)	)	PUNCT
ap-10062	107	1	+	+	CCONJ
ap-10062	107	2	2vw	2vw	ADJ
ap-10062	107	3	(	(	PUNCT
ap-10062	107	4	∂2v	∂2v	NOUN
ap-10062	107	5	∂y∂z	∂y∂z	PROPN
ap-10062	107	6	)	)	PUNCT
ap-10062	108	1	+	+	CCONJ
ap-10062	108	2	2uw	2uw	ADJ
ap-10062	108	3	(	(	PUNCT
ap-10062	108	4	∂2v	∂2v	PROPN
ap-10062	108	5	∂x∂z	∂x∂z	PROPN
ap-10062	108	6	)	)	PUNCT
ap-10062	109	1			PROPN
ap-10062	109	2	=	=	PROPN
ap-10062	109	3	∂2v	∂2v	PROPN
ap-10062	109	4	∂z2	∂z2	PROPN
ap-10062	109	5	−	−	PROPN
ap-10062	109	6	(	(	PUNCT
ap-10062	109	7	σb2	σb2	NOUN
ap-10062	109	8	o	o	PROPN
ap-10062	109	9	ρ	ρ	PROPN
ap-10062	109	10	)	)	PUNCT
ap-10062	110	1	v.	v.	CCONJ
ap-10062	110	2	(	(	PUNCT
ap-10062	110	3	3	3	X
ap-10062	110	4	)	)	PUNCT
ap-10062	110	5	equation	equation	NOUN
ap-10062	110	6	of	of	ADP
ap-10062	110	7	thermal	thermal	ADJ
ap-10062	110	8	energy	energy	NOUN
ap-10062	110	9	:	:	PUNCT
ap-10062	110	10	u	u	NOUN
ap-10062	110	11	(	(	PUNCT
ap-10062	110	12	∂t	∂t	PROPN
ap-10062	110	13	∂x	∂x	PROPN
ap-10062	110	14	)	)	PUNCT
ap-10062	111	1	+	+	CCONJ
ap-10062	111	2	v	v	X
ap-10062	111	3	(	(	PUNCT
ap-10062	111	4	∂t	∂t	PROPN
ap-10062	111	5	∂y	∂y	PROPN
ap-10062	111	6	)	)	PUNCT
ap-10062	112	1	+	+	CCONJ
ap-10062	112	2	w	w	X
ap-10062	112	3	(	(	PUNCT
ap-10062	112	4	∂t	∂t	PROPN
ap-10062	112	5	∂z	∂z	PROPN
ap-10062	112	6	)	)	PUNCT
ap-10062	113	1	=	=	SYM
ap-10062	113	2	α	α	PROPN
ap-10062	113	3	(	(	PUNCT
ap-10062	113	4	∂2	∂2	PROPN
ap-10062	113	5	t	t	PROPN
ap-10062	113	6	∂z2	∂z2	PROPN
ap-10062	113	7	)	)	PUNCT
ap-10062	114	1	+	+	CCONJ
ap-10062	114	2	(	(	PUNCT
ap-10062	114	3	(	(	PUNCT
ap-10062	114	4	ρc)p	ρc)p	PROPN
ap-10062	114	5	(	(	PUNCT
ap-10062	114	6	ρc)f	ρc)f	NOUN
ap-10062	114	7	)	)	PUNCT
ap-10062	114	8	{	{	PUNCT
ap-10062	114	9	db	db	PROPN
ap-10062	114	10	(	(	PUNCT
ap-10062	114	11	∂t	∂t	PROPN
ap-10062	114	12	∂z	∂z	PROPN
ap-10062	114	13	)	)	PUNCT
ap-10062	115	1	(	(	PUNCT
ap-10062	115	2	∂φ	∂φ	PROPN
ap-10062	115	3	∂z	∂z	PROPN
ap-10062	115	4	)	)	PUNCT
ap-10062	116	1	+	+	CCONJ
ap-10062	116	2	dt	dt	NOUN
ap-10062	116	3	t∞	t∞	NOUN
ap-10062	116	4	(	(	PUNCT
ap-10062	116	5	∂t	∂t	PROPN
ap-10062	116	6	∂z	∂z	PROPN
ap-10062	116	7	)	)	PUNCT
ap-10062	116	8	2	2	X
ap-10062	116	9	}	}	PUNCT
ap-10062	116	10	−	−	NUM
ap-10062	116	11	1	1	NUM
ap-10062	116	12	ρcp	ρcp	NOUN
ap-10062	116	13	(	(	PUNCT
ap-10062	116	14	∂qr	∂qr	PROPN
ap-10062	116	15	∂z	∂z	PROPN
ap-10062	116	16	)	)	PUNCT
ap-10062	117	1	+	+	CCONJ
ap-10062	117	2	dmkt	dmkt	PROPN
ap-10062	117	3	cscp	cscp	NOUN
ap-10062	117	4	(	(	PUNCT
ap-10062	117	5	∂2φ	∂2φ	PROPN
ap-10062	117	6	∂z2	∂z2	PROPN
ap-10062	117	7	)	)	PUNCT
ap-10062	117	8	.	.	PUNCT
ap-10062	118	1	(	(	PUNCT
ap-10062	118	2	4	4	X
ap-10062	118	3	)	)	PUNCT
ap-10062	118	4	equation	equation	NOUN
ap-10062	118	5	of	of	ADP
ap-10062	118	6	species	specie	NOUN
ap-10062	118	7	concentration	concentration	NOUN
ap-10062	118	8	:	:	PUNCT
ap-10062	118	9	u	u	NOUN
ap-10062	118	10	(	(	PUNCT
ap-10062	118	11	∂φ	∂φ	PROPN
ap-10062	118	12	∂x	∂x	PROPN
ap-10062	118	13	)	)	PUNCT
ap-10062	119	1	+	+	CCONJ
ap-10062	119	2	v	v	X
ap-10062	119	3	(	(	PUNCT
ap-10062	119	4	∂φ	∂φ	PROPN
ap-10062	119	5	∂y	∂y	PROPN
ap-10062	119	6	)	)	PUNCT
ap-10062	120	1	+	+	CCONJ
ap-10062	120	2	w	w	X
ap-10062	120	3	(	(	PUNCT
ap-10062	120	4	∂φ	∂φ	NOUN
ap-10062	120	5	∂z	∂z	PROPN
ap-10062	120	6	)	)	PUNCT
ap-10062	121	1	=	=	PUNCT
ap-10062	121	2	db	db	PROPN
ap-10062	121	3	(	(	PUNCT
ap-10062	121	4	∂2φ	∂2φ	PROPN
ap-10062	121	5	∂z2	∂z2	PROPN
ap-10062	121	6	)	)	PUNCT
ap-10062	122	1	+	+	CCONJ
ap-10062	122	2	dt	dt	NOUN
ap-10062	122	3	t∞	t∞	NOUN
ap-10062	122	4	(	(	PUNCT
ap-10062	122	5	∂t	∂t	PROPN
ap-10062	122	6	∂z	∂z	PROPN
ap-10062	122	7	)	)	PUNCT
ap-10062	122	8	2	2	PROPN
ap-10062	122	9	+	+	CCONJ
ap-10062	122	10	dmkt	dmkt	PROPN
ap-10062	122	11	tm	tm	NOUN
ap-10062	122	12	(	(	PUNCT
ap-10062	122	13	∂2	∂2	PROPN
ap-10062	122	14	t	t	PROPN
ap-10062	122	15	∂y2	∂y2	NUM
ap-10062	122	16	)	)	PUNCT
ap-10062	122	17	.	.	PUNCT
ap-10062	123	1	(	(	PUNCT
ap-10062	123	2	5	5	X
ap-10062	123	3	)	)	PUNCT
ap-10062	123	4	the	the	DET
ap-10062	123	5	following	follow	VERB
ap-10062	123	6	are	be	AUX
ap-10062	123	7	the	the	DET
ap-10062	123	8	flow	flow	NOUN
ap-10062	123	9	boundary	boundary	ADJ
ap-10062	123	10	conditions	condition	NOUN
ap-10062	123	11	:	:	PUNCT
ap-10062	123	12	u	u	NOUN
ap-10062	123	13	=	=	SYM
ap-10062	123	14	uw	uw	PROPN
ap-10062	123	15	=	=	NOUN
ap-10062	123	16	ax	ax	NOUN
ap-10062	123	17	,	,	PUNCT
ap-10062	123	18	v	v	NOUN
ap-10062	123	19	=	=	SYM
ap-10062	123	20	vw	vw	X
ap-10062	123	21	=	=	PUNCT
ap-10062	123	22	by	by	ADP
ap-10062	123	23	,	,	PUNCT
ap-10062	123	24	w	w	PROPN
ap-10062	123	25	=	=	SYM
ap-10062	123	26	0	0	NUM
ap-10062	123	27	,	,	PUNCT
ap-10062	123	28	−κ	−κ	NOUN
ap-10062	123	29	∂t	∂t	PROPN
ap-10062	123	30	∂z	∂z	PROPN
ap-10062	123	31	=	=	SYM
ap-10062	123	32	β1	β1	PROPN
ap-10062	123	33	(	(	PUNCT
ap-10062	123	34	tf	tf	INTJ
ap-10062	123	35	−	−	PROPN
ap-10062	123	36	t	t	PROPN
ap-10062	123	37	)	)	PUNCT
ap-10062	123	38	,	,	PUNCT
ap-10062	124	1	−db	−db	PROPN
ap-10062	124	2	∂c	∂c	PROPN
ap-10062	125	1	∂z	∂z	PROPN
ap-10062	125	2	=	=	SYM
ap-10062	125	3	β2	β2	PROPN
ap-10062	125	4	(	(	PUNCT
ap-10062	125	5	φf	φf	ADP
ap-10062	125	6	−	−	PROPN
ap-10062	125	7	φ	φ	NUM
ap-10062	125	8	)	)	PUNCT
ap-10062	125	9	atz	atz	PROPN
ap-10062	125	10	=	=	SYM
ap-10062	125	11	0	0	NUM
ap-10062	125	12	,	,	PUNCT
ap-10062	125	13	u	u	NOUN
ap-10062	125	14	→	→	SYM
ap-10062	125	15	0	0	NUM
ap-10062	125	16	,	,	PUNCT
ap-10062	125	17	v	v	NOUN
ap-10062	125	18	→	→	SYM
ap-10062	125	19	0	0	NUM
ap-10062	125	20	,	,	PUNCT
ap-10062	125	21	t	t	PROPN
ap-10062	125	22	→	→	SYM
ap-10062	125	23	t∞	t∞	PROPN
ap-10062	125	24	,	,	PUNCT
ap-10062	125	25	φ	φ	PROPN
ap-10062	125	26	→	→	SYM
ap-10062	125	27	φ∞asz	φ∞asz	PROPN
ap-10062	125	28	→	→	SYM
ap-10062	125	29	∞.	∞.	PROPN
ap-10062	125	30			NOUN
ap-10062	125	31	(	(	PUNCT
ap-10062	125	32	6	6	NUM
ap-10062	125	33	)	)	PUNCT
ap-10062	125	34	the	the	DET
ap-10062	125	35	radiative	radiative	ADJ
ap-10062	125	36	heat	heat	NOUN
ap-10062	125	37	flux	flux	NOUN
ap-10062	125	38	(	(	PUNCT
ap-10062	125	39	using	use	VERB
ap-10062	125	40	roseland	roseland	PROPN
ap-10062	125	41	approximation	approximation	NOUN
ap-10062	125	42	)	)	PUNCT
ap-10062	125	43	is	be	AUX
ap-10062	125	44	defined	define	VERB
ap-10062	125	45	as	as	ADP
ap-10062	125	46	:	:	PUNCT
ap-10062	125	47	qr	qr	PROPN
ap-10062	125	48	=	=	PUNCT
ap-10062	125	49	−	−	PROPN
ap-10062	125	50	4σ∗	4σ∗	NUM
ap-10062	125	51	3k∗	3k∗	NUM
ap-10062	125	52	(	(	PUNCT
ap-10062	125	53	∂t	∂t	PROPN
ap-10062	125	54	4	4	NUM
ap-10062	125	55	∂z	∂z	PROPN
ap-10062	125	56	)	)	PUNCT
ap-10062	125	57	,	,	PUNCT
ap-10062	125	58	(	(	PUNCT
ap-10062	125	59	7	7	X
ap-10062	125	60	)	)	PUNCT
ap-10062	125	61	t	t	NOUN
ap-10062	125	62	4	4	NUM
ap-10062	125	63	=	=	SYM
ap-10062	125	64	t	t	PROPN
ap-10062	125	65	4	4	NUM
ap-10062	125	66	∞	∞	NUM
ap-10062	125	67	+	+	CCONJ
ap-10062	125	68	4	4	NUM
ap-10062	125	69	t	t	NOUN
ap-10062	125	70	3	3	NUM
ap-10062	125	71	∞	∞	NUM
ap-10062	125	72	(	(	PUNCT
ap-10062	125	73	t	t	PROPN
ap-10062	125	74	−	−	PROPN
ap-10062	125	75	t∞	t∞	PROPN
ap-10062	125	76	)	)	PUNCT
ap-10062	126	1	+	+	CCONJ
ap-10062	126	2	6	6	NUM
ap-10062	126	3	t	t	NOUN
ap-10062	126	4	2	2	NUM
ap-10062	126	5	∞	∞	NUM
ap-10062	126	6	(	(	PUNCT
ap-10062	126	7	t	t	PROPN
ap-10062	126	8	−	−	NUM
ap-10062	126	9	t∞)2	t∞)2	PROPN
ap-10062	126	10	+	+	CCONJ
ap-10062	126	11	.	.	PUNCT
ap-10062	126	12	.	.	PUNCT
ap-10062	126	13	.	.	PUNCT
ap-10062	127	1	(	(	PUNCT
ap-10062	127	2	8)	8)	NUM
ap-10062	127	3	469	469	NUM
ap-10062	127	4	t.	t.	NOUN
ap-10062	127	5	poornakantha	poornakantha	PROPN
ap-10062	127	6	,	,	PUNCT
ap-10062	127	7	m.	m.	PROPN
ap-10062	127	8	l.	l.	PROPN
ap-10062	127	9	prasanna	prasanna	PROPN
ap-10062	127	10	,	,	PUNCT
ap-10062	127	11	m.	m.	NOUN
ap-10062	127	12	gundagani	gundagani	PROPN
ap-10062	127	13	acta	acta	PROPN
ap-10062	127	14	polytechnica	polytechnica	PROPN
ap-10062	127	15	after	after	ADP
ap-10062	127	16	disregarding	disregard	VERB
ap-10062	127	17	higher	high	ADJ
ap-10062	127	18	-	-	PUNCT
ap-10062	127	19	order	order	NOUN
ap-10062	127	20	terms	term	NOUN
ap-10062	127	21	after	after	ADP
ap-10062	127	22	the	the	DET
ap-10062	127	23	first	first	ADJ
ap-10062	127	24	degree	degree	NOUN
ap-10062	127	25	term	term	NOUN
ap-10062	127	26	(	(	PUNCT
ap-10062	127	27	t	t	NOUN
ap-10062	127	28	−	−	PROPN
ap-10062	127	29	t∞	t∞	PROPN
ap-10062	127	30	)	)	PUNCT
ap-10062	127	31	,	,	PUNCT
ap-10062	127	32	we	we	PRON
ap-10062	127	33	get	get	VERB
ap-10062	127	34	:	:	PUNCT
ap-10062	127	35	t	t	NOUN
ap-10062	127	36	4	4	NUM
ap-10062	127	37	∼=	∼=	NOUN
ap-10062	127	38	4	4	NUM
ap-10062	127	39	t	t	NOUN
ap-10062	127	40	3	3	NUM
ap-10062	127	41	∞t	∞t	NOUN
ap-10062	127	42	−	−	PROPN
ap-10062	128	1	3	3	NUM
ap-10062	128	2	t	t	NOUN
ap-10062	128	3	4	4	NUM
ap-10062	128	4	∞.	∞.	PROPN
ap-10062	128	5	(	(	PUNCT
ap-10062	128	6	9	9	NUM
ap-10062	128	7	)	)	PUNCT
ap-10062	128	8	from	from	ADP
ap-10062	128	9	(	(	PUNCT
ap-10062	128	10	7	7	NUM
ap-10062	128	11	)	)	PUNCT
ap-10062	128	12	and	and	CCONJ
ap-10062	128	13	(	(	PUNCT
ap-10062	128	14	9	9	NUM
ap-10062	128	15	)	)	PUNCT
ap-10062	128	16	,	,	PUNCT
ap-10062	128	17	we	we	PRON
ap-10062	128	18	get	get	VERB
ap-10062	128	19	:	:	PUNCT
ap-10062	128	20	qr	qr	PROPN
ap-10062	128	21	=	=	PUNCT
ap-10062	128	22	−16	−16	PROPN
ap-10062	128	23	t	t	NOUN
ap-10062	128	24	3	3	NUM
ap-10062	128	25	∞σ∗	∞σ∗	NOUN
ap-10062	128	26	3k∗	3k∗	NUM
ap-10062	128	27	(	(	PUNCT
ap-10062	128	28	∂t	∂t	PROPN
ap-10062	128	29	∂z	∂z	PROPN
ap-10062	128	30	)	)	PUNCT
ap-10062	128	31	.	.	PUNCT
ap-10062	129	1	(	(	PUNCT
ap-10062	129	2	10	10	NUM
ap-10062	129	3	)	)	PUNCT
ap-10062	129	4	using	use	VERB
ap-10062	129	5	(	(	PUNCT
ap-10062	129	6	8)	8)	NUM
ap-10062	129	7	,	,	PUNCT
ap-10062	129	8	equation	equation	NOUN
ap-10062	129	9	(	(	PUNCT
ap-10062	129	10	3	3	X
ap-10062	129	11	)	)	PUNCT
ap-10062	129	12	can	can	AUX
ap-10062	129	13	be	be	AUX
ap-10062	129	14	written	write	VERB
ap-10062	129	15	as	as	ADP
ap-10062	129	16	:	:	PUNCT
ap-10062	129	17	u	u	NOUN
ap-10062	129	18	(	(	PUNCT
ap-10062	129	19	∂t	∂t	PROPN
ap-10062	129	20	∂x	∂x	PROPN
ap-10062	129	21	)	)	PUNCT
ap-10062	130	1	+	+	CCONJ
ap-10062	130	2	v	v	X
ap-10062	130	3	(	(	PUNCT
ap-10062	130	4	∂t	∂t	PROPN
ap-10062	130	5	∂y	∂y	PROPN
ap-10062	130	6	)	)	PUNCT
ap-10062	131	1	+	+	CCONJ
ap-10062	131	2	w	w	X
ap-10062	131	3	(	(	PUNCT
ap-10062	131	4	∂t	∂t	PROPN
ap-10062	131	5	∂z	∂z	PROPN
ap-10062	131	6	)	)	PUNCT
ap-10062	132	1	=	=	SYM
ap-10062	132	2	α	α	PROPN
ap-10062	132	3	(	(	PUNCT
ap-10062	132	4	∂2	∂2	PROPN
ap-10062	132	5	t	t	PROPN
ap-10062	132	6	∂z2	∂z2	PROPN
ap-10062	132	7	)	)	PUNCT
ap-10062	133	1	+	+	CCONJ
ap-10062	133	2	(	(	PUNCT
ap-10062	133	3	(	(	PUNCT
ap-10062	133	4	ρc)p	ρc)p	PROPN
ap-10062	133	5	(	(	PUNCT
ap-10062	133	6	ρc)f	ρc)f	NOUN
ap-10062	133	7	)	)	PUNCT
ap-10062	133	8	{	{	PUNCT
ap-10062	133	9	db	db	PROPN
ap-10062	133	10	(	(	PUNCT
ap-10062	133	11	∂t	∂t	PROPN
ap-10062	133	12	∂z	∂z	PROPN
ap-10062	133	13	)	)	PUNCT
ap-10062	133	14	(	(	PUNCT
ap-10062	133	15	∂c	∂c	PROPN
ap-10062	133	16	∂z	∂z	PROPN
ap-10062	133	17	)	)	PUNCT
ap-10062	134	1	+	+	CCONJ
ap-10062	134	2	dt	dt	NOUN
ap-10062	134	3	t∞	t∞	NOUN
ap-10062	134	4	(	(	PUNCT
ap-10062	134	5	∂t	∂t	PROPN
ap-10062	134	6	∂z	∂z	PROPN
ap-10062	134	7	)	)	PUNCT
ap-10062	134	8	2	2	X
ap-10062	134	9	}	}	PUNCT
ap-10062	134	10	+	+	CCONJ
ap-10062	134	11	1	1	NUM
ap-10062	134	12	ρcp	ρcp	NOUN
ap-10062	134	13	(	(	PUNCT
ap-10062	134	14	16	16	NUM
ap-10062	134	15	t	t	NOUN
ap-10062	134	16	3	3	NUM
ap-10062	134	17	∞σ∗	∞σ∗	NOUN
ap-10062	134	18	3κk∗	3κk∗	NUM
ap-10062	134	19	)	)	PUNCT
ap-10062	134	20	(	(	PUNCT
ap-10062	134	21	∂2	∂2	PROPN
ap-10062	134	22	t	t	PROPN
ap-10062	134	23	∂z2	∂z2	PROPN
ap-10062	134	24	)	)	PUNCT
ap-10062	135	1	+	+	CCONJ
ap-10062	135	2	dmkt	dmkt	PROPN
ap-10062	135	3	cscp	cscp	NOUN
ap-10062	135	4	(	(	PUNCT
ap-10062	135	5	∂2c	∂2c	NOUN
ap-10062	135	6	∂z2	∂z2	PROPN
ap-10062	135	7	)	)	PUNCT
ap-10062	135	8	.	.	PUNCT
ap-10062	136	1	(	(	PUNCT
ap-10062	136	2	11	11	NUM
ap-10062	136	3	)	)	PUNCT
ap-10062	136	4	the	the	DET
ap-10062	136	5	following	follow	VERB
ap-10062	136	6	similarity	similarity	NOUN
ap-10062	136	7	transformations	transformation	NOUN
ap-10062	136	8	are	be	AUX
ap-10062	136	9	initiated	initiate	VERB
ap-10062	136	10	:	:	PUNCT
ap-10062	136	11	η	η	X
ap-10062	136	12	=	=	SYM
ap-10062	136	13	(	(	PUNCT
ap-10062	136	14	√	√	ADP
ap-10062	136	15	a	a	DET
ap-10062	136	16	ν	ν	NOUN
ap-10062	136	17	)	)	PUNCT
ap-10062	137	1	z	z	X
ap-10062	137	2	,	,	PUNCT
ap-10062	137	3	u	u	X
ap-10062	137	4	=	=	X
ap-10062	137	5	axf	axf	INTJ
ap-10062	137	6	′	′	NUM
ap-10062	137	7	(	(	PUNCT
ap-10062	137	8	η	η	PROPN
ap-10062	137	9	)	)	PUNCT
ap-10062	137	10	,	,	PUNCT
ap-10062	137	11	v	v	NOUN
ap-10062	137	12	=	=	SYM
ap-10062	137	13	ayg′	ayg′	PROPN
ap-10062	137	14	(	(	PUNCT
ap-10062	137	15	η	η	PROPN
ap-10062	137	16	)	)	PUNCT
ap-10062	137	17	,	,	PUNCT
ap-10062	138	1	θ	θ	PROPN
ap-10062	138	2	=	=	PUNCT
ap-10062	138	3	t	t	PROPN
ap-10062	139	1	−	−	NOUN
ap-10062	139	2	t∞	t∞	INTJ
ap-10062	139	3	tf	tf	INTJ
ap-10062	139	4	−	−	PROPN
ap-10062	139	5	t∞	t∞	NOUN
ap-10062	139	6	,	,	PUNCT
ap-10062	139	7	ϕ	ϕ	X
ap-10062	139	8	=	=	SYM
ap-10062	139	9	φ	φ	PROPN
ap-10062	139	10	−	−	PROPN
ap-10062	140	1	φ∞	φ∞	PROPN
ap-10062	140	2	φf	φf	ADP
ap-10062	140	3	−	−	PROPN
ap-10062	140	4	φ∞	φ∞	PROPN
ap-10062	140	5	,	,	PUNCT
ap-10062	140	6	w	w	NOUN
ap-10062	140	7	=	=	SYM
ap-10062	140	8	ν	ν	NOUN
ap-10062	140	9	√	√	ADJ
ap-10062	140	10	νa{f	νa{f	PROPN
ap-10062	140	11	(	(	PUNCT
ap-10062	140	12	η	η	PROPN
ap-10062	140	13	)	)	PUNCT
ap-10062	141	1	+	+	CCONJ
ap-10062	141	2	g	g	PROPN
ap-10062	141	3	(	(	PUNCT
ap-10062	141	4	η	η	NOUN
ap-10062	141	5	)	)	PUNCT
ap-10062	141	6	}	}	PUNCT
ap-10062	141	7	.	.	PUNCT
ap-10062	142	1			NOUN
ap-10062	142	2	(	(	PUNCT
ap-10062	142	3	12	12	NUM
ap-10062	142	4	)	)	PUNCT
ap-10062	142	5	via	via	ADP
ap-10062	142	6	these	these	DET
ap-10062	142	7	transformations	transformation	NOUN
ap-10062	142	8	(	(	PUNCT
ap-10062	142	9	12	12	NUM
ap-10062	142	10	)	)	PUNCT
ap-10062	142	11	,	,	PUNCT
ap-10062	142	12	equations	equation	NOUN
ap-10062	142	13	(	(	PUNCT
ap-10062	142	14	2	2	NUM
ap-10062	142	15	)	)	PUNCT
ap-10062	142	16	,	,	PUNCT
ap-10062	142	17	(	(	PUNCT
ap-10062	142	18	3	3	NUM
ap-10062	142	19	)	)	PUNCT
ap-10062	142	20	,	,	PUNCT
ap-10062	142	21	(	(	PUNCT
ap-10062	142	22	4	4	NUM
ap-10062	142	23	)	)	PUNCT
ap-10062	142	24	and	and	CCONJ
ap-10062	142	25	(	(	PUNCT
ap-10062	142	26	11	11	NUM
ap-10062	142	27	)	)	PUNCT
ap-10062	142	28	take	take	VERB
ap-10062	142	29	the	the	DET
ap-10062	142	30	following	follow	VERB
ap-10062	142	31	form	form	NOUN
ap-10062	142	32	:	:	PUNCT
ap-10062	142	33	f	f	PROPN
ap-10062	142	34	′′′	′′′	NOUN
ap-10062	142	35	−	−	PUNCT
ap-10062	143	1	f	f	NOUN
ap-10062	143	2	′2	′2	ADV
ap-10062	143	3	+	+	CCONJ
ap-10062	143	4	ff	ff	VERB
ap-10062	143	5	′′	′′	NOUN
ap-10062	143	6	+	+	CCONJ
ap-10062	143	7	gf	gf	NOUN
ap-10062	143	8	′′	′′	PROPN
ap-10062	143	9	−	−	PROPN
ap-10062	143	10	mf	mf	X
ap-10062	143	11	′	′	NOUN
ap-10062	144	1	+	+	CCONJ
ap-10062	144	2	k	k	X
ap-10062	144	3	{	{	PUNCT
ap-10062	144	4	2ff	2ff	PROPN
ap-10062	144	5	′f	′f	NUM
ap-10062	144	6	′′	′′	PROPN
ap-10062	144	7	+	+	CCONJ
ap-10062	144	8	2gf	2gf	ADJ
ap-10062	144	9	′f	′f	NUM
ap-10062	145	1	′′	′′	PROPN
ap-10062	145	2	−	−	PROPN
ap-10062	146	1	(	(	PUNCT
ap-10062	146	2	f	f	PROPN
ap-10062	146	3	+	+	CCONJ
ap-10062	146	4	g)2	g)2	PROPN
ap-10062	146	5	f	f	X
ap-10062	146	6	′′′	′′′	PROPN
ap-10062	146	7	}	}	PUNCT
ap-10062	146	8	=	=	SYM
ap-10062	146	9	0	0	NUM
ap-10062	146	10	,	,	PUNCT
ap-10062	146	11	g′′′	g′′′	NOUN
ap-10062	146	12	−	−	NOUN
ap-10062	146	13	g′2	g′2	NOUN
ap-10062	146	14	+	+	CCONJ
ap-10062	146	15	fg′′	fg′′	PROPN
ap-10062	146	16	+	+	CCONJ
ap-10062	146	17	gg′′	gg′′	PROPN
ap-10062	146	18	−	−	PROPN
ap-10062	146	19	mg′	mg′	INTJ
ap-10062	147	1	+	+	CCONJ
ap-10062	147	2	k	k	X
ap-10062	147	3	{	{	PUNCT
ap-10062	147	4	2fg′g′′	2fg′g′′	NUM
ap-10062	147	5	+	+	NUM
ap-10062	147	6	2gg′g′′	2gg′g′′	NUM
ap-10062	147	7	−	−	PROPN
ap-10062	147	8	(	(	PUNCT
ap-10062	147	9	f	f	PROPN
ap-10062	147	10	+	+	CCONJ
ap-10062	147	11	g)2	g)2	PROPN
ap-10062	147	12	g′′′	g′′′	VERB
ap-10062	147	13	}	}	PUNCT
ap-10062	147	14	=	=	SYM
ap-10062	147	15	0	0	NUM
ap-10062	147	16	,	,	PUNCT
ap-10062	147	17	{	{	PUNCT
ap-10062	147	18	d	d	X
ap-10062	147	19	dη	dη	X
ap-10062	147	20	[	[	X
ap-10062	147	21	(	(	PUNCT
ap-10062	147	22	1	1	NUM
ap-10062	147	23	+	+	CCONJ
ap-10062	147	24	r	r	NOUN
ap-10062	147	25	(	(	PUNCT
ap-10062	147	26	1	1	NUM
ap-10062	147	27	+	+	CCONJ
ap-10062	147	28	(	(	PUNCT
ap-10062	147	29	θw	θw	ADV
ap-10062	147	30	−	−	ADP
ap-10062	147	31	1	1	X
ap-10062	147	32	)	)	PUNCT
ap-10062	147	33	θ)3	θ)3	NOUN
ap-10062	147	34	)	)	PUNCT
ap-10062	147	35	θ′	θ′	NOUN
ap-10062	147	36	]	]	PUNCT
ap-10062	147	37	}	}	PUNCT
ap-10062	147	38	+	+	CCONJ
ap-10062	147	39	prfθ′	prfθ′	NOUN
ap-10062	147	40	+	+	CCONJ
ap-10062	147	41	prgθ′	prgθ′	X
ap-10062	148	1	+	+	CCONJ
ap-10062	148	2	prnbθ′ϕ′	prnbθ′ϕ′	NOUN
ap-10062	148	3	+	+	NOUN
ap-10062	148	4	prntθ′2	prntθ′2	NOUN
ap-10062	148	5	+	+	CCONJ
ap-10062	148	6	prduϕ′′	prduϕ′′	X
ap-10062	148	7	=	=	SYM
ap-10062	148	8	0	0	NUM
ap-10062	148	9	,	,	PUNCT
ap-10062	148	10	nbϕ′′	nbϕ′′	ADJ
ap-10062	148	11	+	+	CCONJ
ap-10062	148	12	nbscfϕ′	nbscfϕ′	PRON
ap-10062	148	13	+	+	CCONJ
ap-10062	148	14	nbscgϕ′	nbscgϕ′	X
ap-10062	149	1	+	+	CCONJ
ap-10062	149	2	ntθ′′	ntθ′′	ADJ
ap-10062	149	3	+	+	CCONJ
ap-10062	149	4	scnbsrθ′′	scnbsrθ′′	ADJ
ap-10062	149	5	=	=	NOUN
ap-10062	149	6	0	0	NUM
ap-10062	149	7	.	.	PUNCT
ap-10062	150	1	the	the	DET
ap-10062	150	2	associated	associated	ADJ
ap-10062	150	3	boundary	boundary	ADJ
ap-10062	150	4	conditions	condition	NOUN
ap-10062	150	5	(	(	PUNCT
ap-10062	150	6	6	6	NUM
ap-10062	150	7	)	)	PUNCT
ap-10062	150	8	become	become	VERB
ap-10062	150	9	:	:	PUNCT
ap-10062	150	10	f	f	PROPN
ap-10062	150	11	(	(	PUNCT
ap-10062	150	12	0	0	NUM
ap-10062	150	13	)	)	PUNCT
ap-10062	150	14	=	=	SYM
ap-10062	150	15	0	0	NUM
ap-10062	150	16	,	,	PUNCT
ap-10062	150	17	g	g	PROPN
ap-10062	150	18	(	(	PUNCT
ap-10062	150	19	0	0	NUM
ap-10062	150	20	)	)	PUNCT
ap-10062	150	21	=	=	SYM
ap-10062	150	22	0	0	NUM
ap-10062	150	23	,	,	PUNCT
ap-10062	150	24	f	f	PROPN
ap-10062	150	25	′	′	NUM
ap-10062	151	1	(	(	PUNCT
ap-10062	151	2	0	0	NUM
ap-10062	151	3	)	)	PUNCT
ap-10062	151	4	=	=	SYM
ap-10062	151	5	1	1	NUM
ap-10062	151	6	,	,	PUNCT
ap-10062	151	7	g′	g′	NOUN
ap-10062	151	8	(	(	PUNCT
ap-10062	151	9	0	0	NUM
ap-10062	151	10	)	)	PUNCT
ap-10062	151	11	=	=	SYM
ap-10062	151	12	c	c	NOUN
ap-10062	151	13	,	,	PUNCT
ap-10062	151	14	θ′	θ′	NOUN
ap-10062	151	15	(	(	PUNCT
ap-10062	151	16	0	0	NUM
ap-10062	151	17	)	)	PUNCT
ap-10062	151	18	=	=	NOUN
ap-10062	152	1	−δ	−δ	ADJ
ap-10062	152	2	(	(	PUNCT
ap-10062	152	3	1	1	NUM
ap-10062	152	4	−	−	PROPN
ap-10062	152	5	θ	θ	PROPN
ap-10062	152	6	(	(	PUNCT
ap-10062	152	7	0	0	NUM
ap-10062	152	8	)	)	PUNCT
ap-10062	152	9	)	)	PUNCT
ap-10062	152	10	,	,	PUNCT
ap-10062	152	11	ϕ′	ϕ′	X
ap-10062	152	12	(	(	PUNCT
ap-10062	152	13	0	0	NUM
ap-10062	152	14	)	)	PUNCT
ap-10062	152	15	=	=	SYM
ap-10062	152	16	−ζ	−ζ	NOUN
ap-10062	152	17	(	(	PUNCT
ap-10062	152	18	1	1	NUM
ap-10062	152	19	−	−	PROPN
ap-10062	152	20	ϕ	ϕ	X
ap-10062	152	21	(	(	PUNCT
ap-10062	152	22	0	0	NUM
ap-10062	152	23	)	)	PUNCT
ap-10062	152	24	)	)	PUNCT
ap-10062	152	25	,	,	PUNCT
ap-10062	152	26	f	f	X
ap-10062	152	27	′	′	NUM
ap-10062	152	28	(	(	PUNCT
ap-10062	152	29	∞	∞	NOUN
ap-10062	152	30	)	)	PUNCT
ap-10062	152	31	→	→	SYM
ap-10062	152	32	0	0	NUM
ap-10062	152	33	,	,	PUNCT
ap-10062	152	34	g′	g′	NOUN
ap-10062	152	35	(	(	PUNCT
ap-10062	152	36	∞	∞	PROPN
ap-10062	152	37	)	)	PUNCT
ap-10062	152	38	→	→	SYM
ap-10062	152	39	0	0	NUM
ap-10062	152	40	,	,	PUNCT
ap-10062	152	41	θ	θ	PROPN
ap-10062	152	42	(	(	PUNCT
ap-10062	152	43	∞	∞	NOUN
ap-10062	152	44	)	)	PUNCT
ap-10062	152	45	→	→	SYM
ap-10062	152	46	0	0	NUM
ap-10062	152	47	,	,	PUNCT
ap-10062	152	48	ϕ	ϕ	X
ap-10062	152	49	(	(	PUNCT
ap-10062	152	50	∞	∞	PROPN
ap-10062	152	51	)	)	PUNCT
ap-10062	152	52	→	→	SYM
ap-10062	152	53	0	0	X
ap-10062	152	54	.	.	X
ap-10062	153	1			PROPN
ap-10062	153	2	where	where	SCONJ
ap-10062	153	3	the	the	DET
ap-10062	153	4	involved	involved	ADJ
ap-10062	153	5	physical	physical	ADJ
ap-10062	153	6	parameters	parameter	NOUN
ap-10062	153	7	are	be	AUX
ap-10062	153	8	defined	define	VERB
ap-10062	153	9	as	as	ADP
ap-10062	153	10	:	:	PUNCT
ap-10062	153	11	m	m	PROPN
ap-10062	153	12	=	=	SYM
ap-10062	153	13	σb2	σb2	PROPN
ap-10062	153	14	o	o	PROPN
ap-10062	153	15	ρuo	ρuo	NOUN
ap-10062	153	16	,	,	PUNCT
ap-10062	153	17	k	k	PROPN
ap-10062	153	18	=	=	PUNCT
ap-10062	153	19	λ1a	λ1a	PROPN
ap-10062	153	20	,	,	PUNCT
ap-10062	153	21	c	c	NOUN
ap-10062	154	1	=	=	SYM
ap-10062	154	2	b	b	PROPN
ap-10062	154	3	a	a	PRON
ap-10062	154	4	,	,	PUNCT
ap-10062	154	5	θw	θw	PROPN
ap-10062	154	6	=	=	SYM
ap-10062	154	7	tw	tw	NOUN
ap-10062	154	8	t∞	t∞	NOUN
ap-10062	154	9	,	,	PUNCT
ap-10062	154	10	nb	nb	NOUN
ap-10062	154	11	=	=	PUNCT
ap-10062	154	12	τbdb	τbdb	NOUN
ap-10062	154	13	(	(	PUNCT
ap-10062	154	14	φf	φf	ADP
ap-10062	154	15	−	−	PROPN
ap-10062	154	16	φ∞	φ∞	PROPN
ap-10062	154	17	)	)	PUNCT
ap-10062	154	18	ν	ν	NOUN
ap-10062	154	19	,	,	PUNCT
ap-10062	154	20	pr=	pr=	PROPN
ap-10062	154	21	ν	ν	PROPN
ap-10062	154	22	α	α	PROPN
ap-10062	154	23	,	,	PUNCT
ap-10062	154	24	δ	δ	X
ap-10062	154	25	=	=	SYM
ap-10062	154	26	β1	β1	PROPN
ap-10062	154	27	κ	κ	PROPN
ap-10062	154	28	√	√	PROPN
ap-10062	154	29	ν	ν	NOUN
ap-10062	154	30	a	a	DET
ap-10062	154	31	,	,	PUNCT
ap-10062	154	32	ζ	ζ	NOUN
ap-10062	154	33	=	=	SYM
ap-10062	154	34	β2	β2	NOUN
ap-10062	154	35	db	db	ADJ
ap-10062	154	36	√	√	ADP
ap-10062	154	37	ν	ν	NOUN
ap-10062	154	38	a	a	DET
ap-10062	154	39	,	,	PUNCT
ap-10062	154	40	nt	not	PART
ap-10062	154	41	=	=	SYM
ap-10062	154	42	τbdt	τbdt	NOUN
ap-10062	154	43	(	(	PUNCT
ap-10062	154	44	tf	tf	INTJ
ap-10062	154	45	−	−	PROPN
ap-10062	154	46	t∞	t∞	NUM
ap-10062	154	47	)	)	PUNCT
ap-10062	154	48	νt∞	νt∞	PROPN
ap-10062	154	49	,	,	PUNCT
ap-10062	154	50	sr	sr	PROPN
ap-10062	154	51	=	=	PROPN
ap-10062	154	52	dmkt	dmkt	PROPN
ap-10062	154	53	(	(	PUNCT
ap-10062	154	54	tf	tf	INTJ
ap-10062	154	55	−	−	PROPN
ap-10062	154	56	t∞	t∞	PROPN
ap-10062	154	57	)	)	PUNCT
ap-10062	154	58	tmν	tmν	NOUN
ap-10062	154	59	(	(	PUNCT
ap-10062	154	60	φf	φf	ADP
ap-10062	154	61	−	−	PROPN
ap-10062	154	62	c∞	c∞	NUM
ap-10062	154	63	)	)	PUNCT
ap-10062	154	64	,	,	PUNCT
ap-10062	154	65	du	du	PROPN
ap-10062	154	66	=	=	PROPN
ap-10062	154	67	dmkt	dmkt	PROPN
ap-10062	154	68	(	(	PUNCT
ap-10062	154	69	φf	φf	ADP
ap-10062	154	70	−	−	PROPN
ap-10062	154	71	φ∞	φ∞	NOUN
ap-10062	154	72	)	)	PUNCT
ap-10062	154	73	cscpν	cscpν	NOUN
ap-10062	154	74	(	(	PUNCT
ap-10062	154	75	tf	tf	INTJ
ap-10062	154	76	−	−	PROPN
ap-10062	154	77	t∞	t∞	PROPN
ap-10062	154	78	)	)	PUNCT
ap-10062	154	79	,	,	PUNCT
ap-10062	154	80	sc	sc	PROPN
ap-10062	154	81	=	=	PUNCT
ap-10062	154	82	ν	ν	NOUN
ap-10062	154	83	db	db	NOUN
ap-10062	154	84	,	,	PUNCT
ap-10062	154	85	r	r	NOUN
ap-10062	154	86	=	=	SYM
ap-10062	154	87	16σ∗t	16σ∗t	NUM
ap-10062	154	88	3	3	NUM
ap-10062	154	89	∞	∞	PROPN
ap-10062	154	90	3κk∗	3κk∗	NUM
ap-10062	154	91	.	.	PUNCT
ap-10062	155	1			NOUN
ap-10062	155	2	(	(	PUNCT
ap-10062	155	3	13	13	NUM
ap-10062	155	4	)	)	PUNCT
ap-10062	155	5	figure	figure	NOUN
ap-10062	155	6	2	2	NUM
ap-10062	155	7	.	.	PUNCT
ap-10062	155	8	fundamental	fundamental	ADJ
ap-10062	155	9	steps	step	NOUN
ap-10062	155	10	in	in	ADP
ap-10062	155	11	the	the	DET
ap-10062	155	12	finite	finite	ADJ
ap-10062	155	13	element	element	NOUN
ap-10062	155	14	method	method	NOUN
ap-10062	155	15	.	.	PUNCT
ap-10062	156	1	the	the	DET
ap-10062	156	2	physical	physical	ADJ
ap-10062	156	3	parameters	parameter	NOUN
ap-10062	156	4	are	be	AUX
ap-10062	156	5	presented	present	VERB
ap-10062	156	6	as	as	SCONJ
ap-10062	156	7	follows	follow	VERB
ap-10062	156	8	:	:	PUNCT
ap-10062	156	9	cfx	cfx	NOUN
ap-10062	156	10	=	=	PROPN
ap-10062	156	11	τwx	τwx	NOUN
ap-10062	157	1	ρu2	ρu2	X
ap-10062	157	2	w	w	NOUN
ap-10062	157	3	=	=	SYM
ap-10062	157	4	1	1	NUM
ap-10062	157	5	ρu2	ρu2	NOUN
ap-10062	157	6	w	w	ADP
ap-10062	157	7	µ	µ	X
ap-10062	157	8	(	(	PUNCT
ap-10062	157	9	∂u	∂u	PROPN
ap-10062	157	10	∂y	∂y	X
ap-10062	157	11	)	)	PUNCT
ap-10062	157	12	y=0	y=0	X
ap-10062	157	13	⇒	⇒	NOUN
ap-10062	157	14	cfx	cfx	PROPN
ap-10062	157	15	=	=	SYM
ap-10062	157	16	cfx	cfx	PROPN
ap-10062	157	17	(	(	PUNCT
ap-10062	157	18	√	√	PROPN
ap-10062	157	19	rex	rex	PROPN
ap-10062	157	20	)	)	PUNCT
ap-10062	157	21	=	=	SYM
ap-10062	158	1	f	f	X
ap-10062	158	2	′′	′′	PROPN
ap-10062	158	3	(	(	PUNCT
ap-10062	158	4	0	0	NUM
ap-10062	158	5	)	)	PUNCT
ap-10062	158	6	,	,	PUNCT
ap-10062	158	7	(	(	PUNCT
ap-10062	158	8	14	14	X
ap-10062	158	9	)	)	PUNCT
ap-10062	158	10	cfy	cfy	NOUN
ap-10062	158	11	=	=	SYM
ap-10062	158	12	τwy	τwy	PUNCT
ap-10062	158	13	ρv	ρv	ADP
ap-10062	158	14	2	2	NUM
ap-10062	158	15	w	w	NOUN
ap-10062	158	16	=	=	PUNCT
ap-10062	158	17	µ	µ	X
ap-10062	158	18	ρv	ρv	ADP
ap-10062	158	19	2	2	NUM
ap-10062	158	20	w	w	NOUN
ap-10062	158	21	(	(	PUNCT
ap-10062	158	22	∂v	∂v	NOUN
ap-10062	158	23	∂y	∂y	X
ap-10062	158	24	)	)	PUNCT
ap-10062	158	25	y=0	y=0	X
ap-10062	158	26	⇒	⇒	NOUN
ap-10062	158	27	cfy	cfy	NOUN
ap-10062	158	28	=	=	NOUN
ap-10062	158	29	cfy	cfy	NOUN
ap-10062	158	30	(	(	PUNCT
ap-10062	158	31	√	√	NUM
ap-10062	158	32	rey	rey	PROPN
ap-10062	158	33	)	)	PUNCT
ap-10062	159	1	=	=	SYM
ap-10062	159	2	g′′	g′′	PROPN
ap-10062	159	3	(	(	PUNCT
ap-10062	159	4	0	0	NUM
ap-10062	159	5	)	)	PUNCT
ap-10062	159	6	,	,	PUNCT
ap-10062	159	7	(	(	PUNCT
ap-10062	159	8	15	15	X
ap-10062	159	9	)	)	PUNCT
ap-10062	159	10	nu	nu	NOUN
ap-10062	159	11	=	=	SYM
ap-10062	159	12	xqw	xqw	PROPN
ap-10062	159	13	κ	κ	X
ap-10062	159	14	(	(	PUNCT
ap-10062	159	15	tf	tf	INTJ
ap-10062	159	16	−	−	PROPN
ap-10062	159	17	t∞	t∞	NUM
ap-10062	159	18	)	)	PUNCT
ap-10062	159	19	=	=	SYM
ap-10062	160	1	−	−	NOUN
ap-10062	160	2	x	x	INTJ
ap-10062	161	1	(	(	PUNCT
ap-10062	161	2	∂t	∂t	PROPN
ap-10062	161	3	∂y	∂y	PROPN
ap-10062	161	4	+	+	CCONJ
ap-10062	161	5	∂qr	∂qr	PROPN
ap-10062	161	6	∂y	∂y	NOUN
ap-10062	161	7	)	)	PUNCT
ap-10062	161	8	y=0	y=0	X
ap-10062	161	9	κ	κ	NOUN
ap-10062	161	10	(	(	PUNCT
ap-10062	161	11	tf	tf	INTJ
ap-10062	161	12	−	−	PROPN
ap-10062	161	13	t∞	t∞	PROPN
ap-10062	161	14	)	)	PUNCT
ap-10062	161	15	⇒	⇒	NOUN
ap-10062	161	16	nu	nu	NOUN
ap-10062	161	17	=	=	SYM
ap-10062	161	18	−	−	PROPN
ap-10062	161	19	(	(	PUNCT
ap-10062	161	20	1	1	NUM
ap-10062	161	21	+	+	NUM
ap-10062	161	22	rθ3	rθ3	PROPN
ap-10062	161	23	w	w	NOUN
ap-10062	161	24	)	)	PUNCT
ap-10062	161	25	(	(	PUNCT
ap-10062	161	26	√	√	PROPN
ap-10062	161	27	rex	rex	PROPN
ap-10062	161	28	)	)	PUNCT
ap-10062	161	29	θ′	θ′	NOUN
ap-10062	161	30	(	(	PUNCT
ap-10062	161	31	0	0	NUM
ap-10062	161	32	)	)	PUNCT
ap-10062	161	33	,	,	PUNCT
ap-10062	161	34	(	(	PUNCT
ap-10062	161	35	16	16	NUM
ap-10062	161	36	)	)	PUNCT
ap-10062	161	37	sh	sh	NOUN
ap-10062	162	1	=	=	PUNCT
ap-10062	162	2	xqm	xqm	NOUN
ap-10062	162	3	db	db	PROPN
ap-10062	162	4	(	(	PUNCT
ap-10062	162	5	cf	cf	INTJ
ap-10062	162	6	−	−	PROPN
ap-10062	162	7	c∞	c∞	PROPN
ap-10062	162	8	)	)	PUNCT
ap-10062	162	9	=	=	SYM
ap-10062	163	1	−	−	NOUN
ap-10062	163	2	x	x	INTJ
ap-10062	163	3	(	(	PUNCT
ap-10062	163	4	∂c	∂c	NOUN
ap-10062	163	5	∂y	∂y	SYM
ap-10062	163	6	)	)	PUNCT
ap-10062	163	7	y=0	y=0	X
ap-10062	164	1	db	db	PROPN
ap-10062	164	2	(	(	PUNCT
ap-10062	164	3	cf	cf	INTJ
ap-10062	164	4	−	−	PROPN
ap-10062	164	5	c∞	c∞	PROPN
ap-10062	164	6	)	)	PUNCT
ap-10062	164	7	⇒	⇒	NOUN
ap-10062	164	8	sh	sh	PROPN
ap-10062	165	1	=	=	SYM
ap-10062	165	2	−	−	PROPN
ap-10062	165	3	(	(	PUNCT
ap-10062	165	4	√	√	PROPN
ap-10062	165	5	rex	rex	PROPN
ap-10062	165	6	)	)	PUNCT
ap-10062	165	7	ϕ′	ϕ′	PROPN
ap-10062	166	1	(	(	PUNCT
ap-10062	166	2	0	0	NUM
ap-10062	166	3	)	)	PUNCT
ap-10062	166	4	,	,	PUNCT
ap-10062	166	5	(	(	PUNCT
ap-10062	166	6	17	17	NUM
ap-10062	166	7	)	)	PUNCT
ap-10062	166	8	rex	rex	PROPN
ap-10062	166	9	=	=	SYM
ap-10062	166	10	ux	ux	PROPN
ap-10062	166	11	(	(	PUNCT
ap-10062	166	12	x	x	X
ap-10062	166	13	)	)	PUNCT
ap-10062	166	14	x	x	SYM
ap-10062	166	15	ν	ν	NOUN
ap-10062	166	16	,	,	PUNCT
ap-10062	166	17	(	(	PUNCT
ap-10062	166	18	18	18	NUM
ap-10062	166	19	)	)	PUNCT
ap-10062	166	20	rey	rey	PROPN
ap-10062	166	21	=	=	SYM
ap-10062	166	22	vw	vw	PROPN
ap-10062	166	23	(	(	PUNCT
ap-10062	166	24	y	y	NOUN
ap-10062	166	25	)	)	PUNCT
ap-10062	166	26	y	y	PROPN
ap-10062	166	27	ν	ν	NOUN
ap-10062	166	28	.	.	PUNCT
ap-10062	167	1	(	(	PUNCT
ap-10062	167	2	19	19	NUM
ap-10062	167	3	)	)	PUNCT
ap-10062	167	4	based	base	VERB
ap-10062	167	5	on	on	ADP
ap-10062	167	6	the	the	DET
ap-10062	167	7	stretching	stretch	VERB
ap-10062	167	8	velocities	velocity	NOUN
ap-10062	167	9	,	,	PUNCT
ap-10062	167	10	the	the	DET
ap-10062	167	11	local	local	ADJ
ap-10062	167	12	reynolds	reynold	NOUN
ap-10062	167	13	numbers	number	NOUN
ap-10062	167	14	(	(	PUNCT
ap-10062	167	15	18	18	NUM
ap-10062	167	16	)	)	PUNCT
ap-10062	167	17	and	and	CCONJ
ap-10062	167	18	(	(	PUNCT
ap-10062	167	19	19	19	NUM
ap-10062	167	20	)	)	PUNCT
ap-10062	167	21	have	have	AUX
ap-10062	167	22	shown	show	VERB
ap-10062	167	23	.	.	PUNCT
ap-10062	168	1	3	3	X
ap-10062	168	2	.	.	X
ap-10062	168	3	methods	method	NOUN
ap-10062	168	4	numerical	numerical	PROPN
ap-10062	168	5	models	model	NOUN
ap-10062	168	6	are	be	AUX
ap-10062	168	7	developed	develop	VERB
ap-10062	168	8	that	that	SCONJ
ap-10062	168	9	perfectly	perfectly	ADV
ap-10062	168	10	match	match	VERB
ap-10062	168	11	the	the	DET
ap-10062	168	12	physical	physical	ADJ
ap-10062	168	13	system	system	NOUN
ap-10062	168	14	,	,	PUNCT
ap-10062	168	15	enabling	enable	VERB
ap-10062	168	16	the	the	DET
ap-10062	168	17	solutions	solution	NOUN
ap-10062	168	18	to	to	PART
ap-10062	168	19	be	be	AUX
ap-10062	168	20	analysed	analyse	VERB
ap-10062	168	21	and	and	CCONJ
ap-10062	168	22	compared	compare	VERB
ap-10062	168	23	with	with	ADP
ap-10062	168	24	the	the	DET
ap-10062	168	25	real	real	ADJ
ap-10062	168	26	system	system	NOUN
ap-10062	168	27	.	.	PUNCT
ap-10062	169	1	these	these	DET
ap-10062	169	2	numerical	numerical	ADJ
ap-10062	169	3	methods	method	NOUN
ap-10062	169	4	enable	enable	VERB
ap-10062	169	5	us	we	PRON
ap-10062	169	6	to	to	PART
ap-10062	169	7	refine	refine	VERB
ap-10062	169	8	our	our	PRON
ap-10062	169	9	approach	approach	NOUN
ap-10062	169	10	to	to	ADP
ap-10062	169	11	the	the	DET
ap-10062	169	12	physical	physical	ADJ
ap-10062	169	13	system	system	NOUN
ap-10062	169	14	and	and	CCONJ
ap-10062	169	15	solve	solve	VERB
ap-10062	169	16	it	it	PRON
ap-10062	169	17	quickly	quickly	ADV
ap-10062	169	18	.	.	PUNCT
ap-10062	170	1	the	the	DET
ap-10062	170	2	following	follow	VERB
ap-10062	170	3	are	be	AUX
ap-10062	170	4	the	the	DET
ap-10062	170	5	advantages	advantage	NOUN
ap-10062	170	6	of	of	ADP
ap-10062	170	7	the	the	DET
ap-10062	170	8	fem	fem	NOUN
ap-10062	170	9	technique	technique	NOUN
ap-10062	170	10	:	:	PUNCT
ap-10062	170	11	•	•	NUM
ap-10062	170	12	modelling	modelling	NOUN
ap-10062	170	13	,	,	PUNCT
ap-10062	170	14	•	•	NUM
ap-10062	170	15	adaptability	adaptability	NOUN
ap-10062	170	16	,	,	PUNCT
ap-10062	170	17	•	•	NUM
ap-10062	170	18	accuracy	accuracy	NOUN
ap-10062	170	19	,	,	PUNCT
ap-10062	170	20	•	•	NUM
ap-10062	170	21	boundaries	boundary	NOUN
ap-10062	170	22	,	,	PUNCT
ap-10062	170	23	•	•	NUM
ap-10062	170	24	visualisation	visualisation	NOUN
ap-10062	170	25	.	.	PUNCT
ap-10062	171	1	the	the	DET
ap-10062	171	2	core	core	ADJ
ap-10062	171	3	procedural	procedural	ADJ
ap-10062	171	4	stages	stage	NOUN
ap-10062	171	5	of	of	ADP
ap-10062	171	6	the	the	DET
ap-10062	171	7	finite	finite	PROPN
ap-10062	171	8	element	element	NOUN
ap-10062	171	9	method	method	NOUN
ap-10062	171	10	was	be	AUX
ap-10062	171	11	shown	show	VERB
ap-10062	171	12	in	in	ADP
ap-10062	171	13	figure	figure	NOUN
ap-10062	171	14	2	2	NUM
ap-10062	171	15	.	.	PUNCT
ap-10062	172	1	the	the	DET
ap-10062	172	2	finite	finite	PROPN
ap-10062	172	3	element	element	NOUN
ap-10062	172	4	470	470	NUM
ap-10062	172	5	vol	vol	NOUN
ap-10062	172	6	.	.	PUNCT
ap-10062	173	1	65	65	NUM
ap-10062	173	2	no	no	NOUN
ap-10062	173	3	.	.	PUNCT
ap-10062	174	1	4/2025	4/2025	PROPN
ap-10062	174	2	mathematical	mathematical	ADJ
ap-10062	174	3	modelling	modelling	NOUN
ap-10062	174	4	and	and	CCONJ
ap-10062	174	5	analysis	analysis	NOUN
ap-10062	174	6	of	of	ADP
ap-10062	174	7	three	three	NUM
ap-10062	174	8	-	-	PUNCT
ap-10062	174	9	dimensional	dimensional	ADJ
ap-10062	174	10	.	.	PUNCT
ap-10062	174	11	.	.	PUNCT
ap-10062	174	12	.	.	PUNCT
ap-10062	175	1	c	c	PROPN
ap-10062	175	2	present	present	PROPN
ap-10062	175	3	numerical	numerical	PROPN
ap-10062	175	4	results	result	NOUN
ap-10062	175	5	results	result	NOUN
ap-10062	175	6	of	of	ADP
ap-10062	175	7	ammar	ammar	PROPN
ap-10062	175	8	mushtaq	mushtaq	PROPN
ap-10062	175	9	et	et	PROPN
ap-10062	175	10	al	al	PROPN
ap-10062	175	11	.	.	PUNCT
ap-10062	176	1	[	[	X
ap-10062	176	2	29	29	NUM
ap-10062	176	3	]	]	X
ap-10062	176	4	−f	−f	ADJ
ap-10062	176	5	′′(0	′′(0	PROPN
ap-10062	176	6	)	)	PUNCT
ap-10062	176	7	−g′′(0	−g′′(0	PROPN
ap-10062	176	8	)	)	PUNCT
ap-10062	176	9	−θ′(0	−θ′(0	NUM
ap-10062	176	10	)	)	PUNCT
ap-10062	177	1	−f	−f	ADJ
ap-10062	177	2	′′(0	′′(0	NOUN
ap-10062	177	3	)	)	PUNCT
ap-10062	177	4	−g′′(0	−g′′(0	NOUN
ap-10062	177	5	)	)	PUNCT
ap-10062	177	6	−θ′(0	−θ′(0	NUM
ap-10062	177	7	)	)	PUNCT
ap-10062	177	8	0.25	0.25	NUM
ap-10062	177	9	1.0385679834	1.0385679834	NUM
ap-10062	177	10	0.1867437347	0.1867437347	NUM
ap-10062	177	11	0.6545640347	0.6545640347	NUM
ap-10062	177	12	1.048811	1.048811	NUM
ap-10062	178	1	0.194564	0.194564	NUM
ap-10062	178	2	0.665926	0.665926	NUM
ap-10062	178	3	0.50	0.50	NUM
ap-10062	179	1	1.0826347693	1.0826347693	NUM
ap-10062	179	2	0.4560274634	0.4560274634	NUM
ap-10062	179	3	0.7210683909	0.7210683909	NUM
ap-10062	179	4	1.093095	1.093095	NUM
ap-10062	179	5	0.465205	0.465205	NUM
ap-10062	179	6	0.735333	0.735333	NUM
ap-10062	179	7	0.75	0.75	NUM
ap-10062	179	8	1.1286789826	1.1286789826	NUM
ap-10062	179	9	0.7826707660	0.7826707660	NUM
ap-10062	179	10	0.7820676830	0.7820676830	NUM
ap-10062	179	11	1.134486	1.134486	NUM
ap-10062	179	12	0.794618	0.794618	NUM
ap-10062	179	13	0.796472	0.796472	NUM
ap-10062	179	14	1.00	1.00	NUM
ap-10062	179	15	1.1668398949	1.1668398949	NUM
ap-10062	179	16	1.1668398949	1.1668398949	NUM
ap-10062	179	17	0.8425687981	0.8425687981	NUM
ap-10062	179	18	1.173721	1.173721	NUM
ap-10062	179	19	1.173721	1.173721	NUM
ap-10062	179	20	0.851992	0.851992	NUM
ap-10062	179	21	table	table	NOUN
ap-10062	179	22	1	1	NUM
ap-10062	179	23	.	.	PUNCT
ap-10062	179	24	comparison	comparison	NOUN
ap-10062	179	25	of	of	ADP
ap-10062	179	26	present	present	ADJ
ap-10062	179	27	numerical	numerical	ADJ
ap-10062	179	28	results	result	NOUN
ap-10062	179	29	with	with	ADP
ap-10062	179	30	those	those	PRON
ap-10062	179	31	published	publish	VERB
ap-10062	179	32	by	by	ADP
ap-10062	179	33	ammar	ammar	PROPN
ap-10062	179	34	mushtaq	mushtaq	PROPN
ap-10062	179	35	et	et	PROPN
ap-10062	179	36	al	al	PROPN
ap-10062	179	37	.	.	PUNCT
ap-10062	180	1	[	[	X
ap-10062	180	2	29	29	NUM
ap-10062	180	3	]	]	PUNCT
ap-10062	180	4	for	for	ADP
ap-10062	180	5	various	various	ADJ
ap-10062	180	6	values	value	NOUN
ap-10062	180	7	of	of	ADP
ap-10062	180	8	c	c	PROPN
ap-10062	180	9	at	at	ADP
ap-10062	180	10	p	p	NOUN
ap-10062	180	11	r	r	NOUN
ap-10062	180	12	=	=	PUNCT
ap-10062	180	13	1.0	1.0	NUM
ap-10062	180	14	when	when	SCONJ
ap-10062	180	15	m	m	VERB
ap-10062	180	16	=	=	SYM
ap-10062	180	17	0	0	NUM
ap-10062	180	18	,	,	PUNCT
ap-10062	180	19	nb	nb	NOUN
ap-10062	180	20	=	=	SYM
ap-10062	180	21	0	0	NUM
ap-10062	180	22	,	,	PUNCT
ap-10062	180	23	nt	not	PART
ap-10062	180	24	=	=	SYM
ap-10062	180	25	0	0	NUM
ap-10062	180	26	,	,	PUNCT
ap-10062	180	27	sr	sr	PROPN
ap-10062	180	28	=	=	SYM
ap-10062	180	29	0	0	PROPN
ap-10062	180	30	,	,	PUNCT
ap-10062	180	31	du	du	PROPN
ap-10062	180	32	=	=	SYM
ap-10062	180	33	0	0	NUM
ap-10062	180	34	,	,	PUNCT
ap-10062	180	35	ζ	ζ	NOUN
ap-10062	180	36	→	→	SYM
ap-10062	180	37	∞	∞	PROPN
ap-10062	180	38	and	and	CCONJ
ap-10062	180	39	δ	δ	PROPN
ap-10062	180	40	→	→	SYM
ap-10062	180	41	∞.	∞.	PROPN
ap-10062	180	42	c	c	PROPN
ap-10062	180	43	present	present	ADJ
ap-10062	180	44	numerical	numerical	PROPN
ap-10062	180	45	results	result	NOUN
ap-10062	180	46	results	result	NOUN
ap-10062	180	47	of	of	ADP
ap-10062	180	48	liu	liu	PROPN
ap-10062	180	49	and	and	CCONJ
ap-10062	180	50	anderson	anderson	PROPN
ap-10062	181	1	[	[	X
ap-10062	181	2	30	30	NUM
ap-10062	181	3	]	]	X
ap-10062	181	4	−f	−f	ADJ
ap-10062	181	5	′′(0	′′(0	PROPN
ap-10062	181	6	)	)	PUNCT
ap-10062	181	7	−g′′(0	−g′′(0	PROPN
ap-10062	181	8	)	)	PUNCT
ap-10062	181	9	−θ′(0	−θ′(0	NUM
ap-10062	181	10	)	)	PUNCT
ap-10062	182	1	−f	−f	ADJ
ap-10062	182	2	′′(0	′′(0	NOUN
ap-10062	182	3	)	)	PUNCT
ap-10062	182	4	−g′′(0	−g′′(0	NOUN
ap-10062	182	5	)	)	PUNCT
ap-10062	182	6	−θ′(0	−θ′(0	NUM
ap-10062	182	7	)	)	PUNCT
ap-10062	182	8	0.25	0.25	NUM
ap-10062	182	9	1.0286896981	1.0286896981	NUM
ap-10062	182	10	0.1850897908	0.1850897908	NUM
ap-10062	182	11	0.6477834499	0.6477834499	NUM
ap-10062	182	12	1.048813	1.048813	NUM
ap-10062	182	13	0.194565	0.194565	NUM
ap-10062	182	14	0.665933	0.665933	NUM
ap-10062	182	15	0.50	0.50	NUM
ap-10062	182	16	1.0798579345	1.0798579345	NUM
ap-10062	182	17	0.4487475729	0.4487475729	NUM
ap-10062	182	18	0.7188967643	0.7188967643	NUM
ap-10062	182	19	1.093096	1.093096	NUM
ap-10062	182	20	0.465206	0.465206	NUM
ap-10062	182	21	0.735334	0.735334	NUM
ap-10062	182	22	0.75	0.75	NUM
ap-10062	182	23	1.1183468884	1.1183468884	NUM
ap-10062	182	24	0.7798774410	0.7798774410	NUM
ap-10062	182	25	0.7776784938	0.7776784938	NUM
ap-10062	182	26	1.134486	1.134486	NUM
ap-10062	182	27	0.794619	0.794619	NUM
ap-10062	182	28	0.796472	0.796472	NUM
ap-10062	182	29	table	table	NOUN
ap-10062	182	30	2	2	NUM
ap-10062	182	31	.	.	PUNCT
ap-10062	182	32	comparison	comparison	NOUN
ap-10062	182	33	of	of	ADP
ap-10062	182	34	present	present	ADJ
ap-10062	182	35	numerical	numerical	ADJ
ap-10062	182	36	results	result	NOUN
ap-10062	182	37	with	with	ADP
ap-10062	182	38	those	those	PRON
ap-10062	182	39	published	publish	VERB
ap-10062	182	40	by	by	ADP
ap-10062	182	41	liu	liu	PROPN
ap-10062	182	42	and	and	CCONJ
ap-10062	182	43	anderson	anderson	PROPN
ap-10062	183	1	[	[	X
ap-10062	183	2	30	30	NUM
ap-10062	183	3	]	]	PUNCT
ap-10062	183	4	for	for	ADP
ap-10062	183	5	various	various	ADJ
ap-10062	183	6	values	value	NOUN
ap-10062	183	7	of	of	ADP
ap-10062	183	8	c	c	PROPN
ap-10062	183	9	at	at	ADP
ap-10062	183	10	p	p	NOUN
ap-10062	183	11	r	r	NOUN
ap-10062	183	12	=	=	PUNCT
ap-10062	183	13	1.0	1.0	NUM
ap-10062	183	14	when	when	SCONJ
ap-10062	183	15	m	m	VERB
ap-10062	183	16	=	=	SYM
ap-10062	183	17	0	0	NUM
ap-10062	183	18	,	,	PUNCT
ap-10062	183	19	k	k	NOUN
ap-10062	183	20	=	=	SYM
ap-10062	183	21	0	0	NUM
ap-10062	183	22	,	,	PUNCT
ap-10062	183	23	r	r	NOUN
ap-10062	183	24	=	=	SYM
ap-10062	183	25	0	0	NUM
ap-10062	183	26	,	,	PUNCT
ap-10062	183	27	nb	nb	NOUN
ap-10062	183	28	=	=	SYM
ap-10062	183	29	0	0	NUM
ap-10062	183	30	,	,	PUNCT
ap-10062	183	31	nt	not	PART
ap-10062	183	32	=	=	SYM
ap-10062	183	33	0	0	NUM
ap-10062	183	34	,	,	PUNCT
ap-10062	183	35	sr	sr	PROPN
ap-10062	183	36	=	=	SYM
ap-10062	183	37	0	0	PROPN
ap-10062	183	38	,	,	PUNCT
ap-10062	183	39	du	du	PROPN
ap-10062	183	40	=	=	SYM
ap-10062	183	41	0	0	NUM
ap-10062	183	42	,	,	PUNCT
ap-10062	183	43	ζ	ζ	NOUN
ap-10062	183	44	→	→	SYM
ap-10062	183	45	∞	∞	PROPN
ap-10062	183	46	and	and	CCONJ
ap-10062	183	47	δ	δ	PROPN
ap-10062	184	1	→	→	SYM
ap-10062	184	2	∞.	∞.	PROPN
ap-10062	184	3	method	method	NOUN
ap-10062	184	4	used	use	VERB
ap-10062	184	5	in	in	ADP
ap-10062	184	6	this	this	DET
ap-10062	184	7	study	study	NOUN
ap-10062	184	8	is	be	AUX
ap-10062	184	9	a	a	DET
ap-10062	184	10	highly	highly	ADV
ap-10062	184	11	useful	useful	ADJ
ap-10062	184	12	approach	approach	NOUN
ap-10062	184	13	for	for	ADP
ap-10062	184	14	solving	solve	VERB
ap-10062	184	15	linear	linear	NOUN
ap-10062	184	16	and	and	CCONJ
ap-10062	184	17	nonlinear	nonlinear	ADJ
ap-10062	184	18	partial	partial	ADJ
ap-10062	184	19	and	and	CCONJ
ap-10062	184	20	ordinary	ordinary	ADJ
ap-10062	184	21	differential	differential	ADJ
ap-10062	184	22	equations	equation	NOUN
ap-10062	184	23	in	in	ADP
ap-10062	184	24	physics	physics	NOUN
ap-10062	184	25	,	,	PUNCT
ap-10062	184	26	mechanical	mechanical	ADJ
ap-10062	184	27	engineering	engineering	NOUN
ap-10062	184	28	,	,	PUNCT
ap-10062	184	29	and	and	CCONJ
ap-10062	184	30	related	related	ADJ
ap-10062	184	31	subjects	subject	NOUN
ap-10062	184	32	,	,	PUNCT
ap-10062	184	33	and	and	CCONJ
ap-10062	184	34	can	can	AUX
ap-10062	184	35	therefore	therefore	ADV
ap-10062	184	36	be	be	AUX
ap-10062	184	37	used	use	VERB
ap-10062	184	38	in	in	ADP
ap-10062	184	39	future	future	ADJ
ap-10062	184	40	research	research	NOUN
ap-10062	184	41	.	.	PUNCT
ap-10062	185	1	at	at	ADP
ap-10062	185	2	the	the	DET
ap-10062	185	3	time	time	NOUN
ap-10062	185	4	this	this	DET
ap-10062	185	5	article	article	NOUN
ap-10062	185	6	was	be	AUX
ap-10062	185	7	written	write	VERB
ap-10062	185	8	,	,	PUNCT
ap-10062	185	9	this	this	PRON
ap-10062	185	10	was	be	AUX
ap-10062	185	11	the	the	DET
ap-10062	185	12	most	most	ADV
ap-10062	185	13	adaptable	adaptable	ADJ
ap-10062	185	14	numerical	numerical	ADJ
ap-10062	185	15	technique	technique	NOUN
ap-10062	185	16	available	available	ADJ
ap-10062	185	17	for	for	ADP
ap-10062	185	18	carrying	carry	VERB
ap-10062	185	19	out	out	ADP
ap-10062	185	20	engineering	engineering	NOUN
ap-10062	185	21	analysis	analysis	NOUN
ap-10062	185	22	.	.	PUNCT
ap-10062	186	1	numerous	numerous	ADJ
ap-10062	186	2	numerical	numerical	ADJ
ap-10062	186	3	techniques	technique	NOUN
ap-10062	186	4	,	,	PUNCT
ap-10062	186	5	including	include	VERB
ap-10062	186	6	the	the	DET
ap-10062	186	7	lu	lu	NOUN
ap-10062	186	8	decomposition	decomposition	NOUN
ap-10062	186	9	approach	approach	NOUN
ap-10062	186	10	and	and	CCONJ
ap-10062	186	11	the	the	DET
ap-10062	186	12	gauss	gauss	PROPN
ap-10062	186	13	elimination	elimination	NOUN
ap-10062	186	14	method	method	NOUN
ap-10062	186	15	,	,	PUNCT
ap-10062	186	16	can	can	AUX
ap-10062	186	17	be	be	AUX
ap-10062	186	18	used	use	VERB
ap-10062	186	19	to	to	PART
ap-10062	186	20	solve	solve	VERB
ap-10062	186	21	the	the	DET
ap-10062	186	22	built	build	VERB
ap-10062	186	23	equations	equation	NOUN
ap-10062	186	24	.	.	PUNCT
ap-10062	187	1	these	these	DET
ap-10062	187	2	approaches	approach	NOUN
ap-10062	187	3	are	be	AUX
ap-10062	187	4	most	most	ADV
ap-10062	187	5	commonly	commonly	ADV
ap-10062	187	6	used	use	VERB
ap-10062	187	7	to	to	PART
ap-10062	187	8	solve	solve	VERB
ap-10062	187	9	built	build	VERB
ap-10062	187	10	equations	equation	NOUN
ap-10062	187	11	.	.	PUNCT
ap-10062	188	1	when	when	SCONJ
ap-10062	188	2	working	work	VERB
ap-10062	188	3	with	with	ADP
ap-10062	188	4	real	real	ADJ
ap-10062	188	5	numbers	number	NOUN
ap-10062	188	6	,	,	PUNCT
ap-10062	188	7	it	it	PRON
ap-10062	188	8	is	be	AUX
ap-10062	188	9	important	important	ADJ
ap-10062	188	10	to	to	PART
ap-10062	188	11	remember	remember	VERB
ap-10062	188	12	that	that	SCONJ
ap-10062	188	13	form	form	NOUN
ap-10062	188	14	functions	function	NOUN
ap-10062	188	15	can	can	AUX
ap-10062	188	16	be	be	AUX
ap-10062	188	17	used	use	VERB
ap-10062	188	18	to	to	PART
ap-10062	188	19	provide	provide	VERB
ap-10062	188	20	an	an	DET
ap-10062	188	21	accurate	accurate	ADJ
ap-10062	188	22	approximation	approximation	NOUN
ap-10062	188	23	of	of	ADP
ap-10062	188	24	real	real	ADJ
ap-10062	188	25	functions	function	NOUN
ap-10062	188	26	.	.	PUNCT
ap-10062	189	1	if	if	SCONJ
ap-10062	189	2	you	you	PRON
ap-10062	189	3	follow	follow	VERB
ap-10062	189	4	this	this	DET
ap-10062	189	5	technique	technique	NOUN
ap-10062	189	6	step	step	NOUN
ap-10062	189	7	by	by	ADP
ap-10062	189	8	step	step	NOUN
ap-10062	189	9	,	,	PUNCT
ap-10062	189	10	you	you	PRON
ap-10062	189	11	can	can	AUX
ap-10062	189	12	be	be	AUX
ap-10062	189	13	certain	certain	ADJ
ap-10062	189	14	that	that	SCONJ
ap-10062	189	15	your	your	PRON
ap-10062	189	16	calculations	calculation	NOUN
ap-10062	189	17	will	will	AUX
ap-10062	189	18	be	be	AUX
ap-10062	189	19	accurate	accurate	ADJ
ap-10062	189	20	.	.	PUNCT
ap-10062	190	1	the	the	DET
ap-10062	190	2	flow	flow	NOUN
ap-10062	190	3	domain	domain	NOUN
ap-10062	190	4	has	have	VERB
ap-10062	190	5	the	the	DET
ap-10062	190	6	total	total	NOUN
ap-10062	190	7	of	of	ADP
ap-10062	190	8	20	20	NUM
ap-10062	190	9	001	001	NUM
ap-10062	190	10	nodes	node	NOUN
ap-10062	190	11	and	and	CCONJ
ap-10062	190	12	is	be	AUX
ap-10062	190	13	divided	divide	VERB
ap-10062	190	14	into	into	ADP
ap-10062	190	15	10	10	NUM
ap-10062	190	16	000	000	NUM
ap-10062	190	17	quadratic	quadratic	ADJ
ap-10062	190	18	components	component	NOUN
ap-10062	190	19	that	that	PRON
ap-10062	190	20	are	be	AUX
ap-10062	190	21	all	all	PRON
ap-10062	190	22	of	of	ADP
ap-10062	190	23	the	the	DET
ap-10062	190	24	same	same	ADJ
ap-10062	190	25	size	size	NOUN
ap-10062	190	26	.	.	PUNCT
ap-10062	191	1	these	these	DET
ap-10062	191	2	components	component	NOUN
ap-10062	191	3	are	be	AUX
ap-10062	191	4	all	all	PRON
ap-10062	191	5	of	of	ADP
ap-10062	191	6	the	the	DET
ap-10062	191	7	same	same	ADJ
ap-10062	191	8	shape	shape	NOUN
ap-10062	191	9	.	.	PUNCT
ap-10062	192	1	the	the	DET
ap-10062	192	2	flow	flow	NOUN
ap-10062	192	3	domain	domain	NOUN
ap-10062	192	4	is	be	AUX
ap-10062	192	5	made	make	VERB
ap-10062	192	6	up	up	ADP
ap-10062	192	7	of	of	ADP
ap-10062	192	8	10	10	NUM
ap-10062	192	9	000	000	NUM
ap-10062	192	10	quadratic	quadratic	ADJ
ap-10062	192	11	components	component	NOUN
ap-10062	192	12	,	,	PUNCT
ap-10062	192	13	all	all	PRON
ap-10062	192	14	of	of	ADP
ap-10062	192	15	which	which	PRON
ap-10062	192	16	are	be	AUX
ap-10062	192	17	of	of	ADP
ap-10062	192	18	the	the	DET
ap-10062	192	19	same	same	ADJ
ap-10062	192	20	magnitude	magnitude	NOUN
ap-10062	192	21	as	as	ADP
ap-10062	192	22	their	their	PRON
ap-10062	192	23	counterparts	counterpart	NOUN
ap-10062	192	24	in	in	ADP
ap-10062	192	25	the	the	DET
ap-10062	192	26	other	other	ADJ
ap-10062	192	27	components	component	NOUN
ap-10062	192	28	.	.	PUNCT
ap-10062	193	1	following	follow	VERB
ap-10062	193	2	the	the	DET
ap-10062	193	3	development	development	NOUN
ap-10062	193	4	of	of	ADP
ap-10062	193	5	the	the	DET
ap-10062	193	6	element	element	NOUN
ap-10062	193	7	equation	equation	NOUN
ap-10062	193	8	,	,	PUNCT
ap-10062	193	9	a	a	DET
ap-10062	193	10	total	total	NOUN
ap-10062	193	11	of	of	ADP
ap-10062	193	12	80	80	NUM
ap-10062	193	13	004	004	NUM
ap-10062	193	14	nonlinear	nonlinear	ADJ
ap-10062	193	15	equations	equation	NOUN
ap-10062	193	16	could	could	AUX
ap-10062	193	17	be	be	AUX
ap-10062	193	18	investigated	investigate	VERB
ap-10062	193	19	.	.	PUNCT
ap-10062	194	1	these	these	DET
ap-10062	194	2	equations	equation	NOUN
ap-10062	194	3	were	be	AUX
ap-10062	194	4	made	make	VERB
ap-10062	194	5	available	available	ADJ
ap-10062	194	6	for	for	ADP
ap-10062	194	7	study	study	NOUN
ap-10062	194	8	.	.	PUNCT
ap-10062	195	1	after	after	ADP
ap-10062	195	2	applying	apply	VERB
ap-10062	195	3	the	the	DET
ap-10062	195	4	boundary	boundary	ADJ
ap-10062	195	5	conditions	condition	NOUN
ap-10062	195	6	,	,	PUNCT
ap-10062	195	7	the	the	DET
ap-10062	195	8	gauss	gauss	PROPN
ap-10062	195	9	approach	approach	NOUN
ap-10062	195	10	was	be	AUX
ap-10062	195	11	used	use	VERB
ap-10062	195	12	to	to	PART
ap-10062	195	13	eliminate	eliminate	VERB
ap-10062	195	14	the	the	DET
ap-10062	195	15	remaining	remain	VERB
ap-10062	195	16	nonlinear	nonlinear	ADJ
ap-10062	195	17	equations	equation	NOUN
ap-10062	195	18	.	.	PUNCT
ap-10062	196	1	the	the	DET
ap-10062	196	2	gauss	gauss	PROPN
ap-10062	196	3	technique	technique	NOUN
ap-10062	196	4	was	be	AUX
ap-10062	196	5	then	then	ADV
ap-10062	196	6	employed	employ	VERB
ap-10062	196	7	to	to	PART
ap-10062	196	8	obtain	obtain	VERB
ap-10062	196	9	an	an	DET
ap-10062	196	10	accurate	accurate	ADJ
ap-10062	196	11	numerical	numerical	ADJ
ap-10062	196	12	solution	solution	NOUN
ap-10062	196	13	to	to	ADP
ap-10062	196	14	within	within	ADP
ap-10062	196	15	0.00001	0.00001	NUM
ap-10062	196	16	degrees	degree	NOUN
ap-10062	196	17	.	.	PUNCT
ap-10062	197	1	gaussian	gaussian	ADJ
ap-10062	197	2	quadrature	quadrature	NOUN
ap-10062	197	3	is	be	AUX
ap-10062	197	4	used	use	VERB
ap-10062	197	5	to	to	PART
ap-10062	197	6	help	help	VERB
ap-10062	197	7	overcome	overcome	VERB
ap-10062	197	8	the	the	DET
ap-10062	197	9	challenges	challenge	NOUN
ap-10062	197	10	associated	associate	VERB
ap-10062	197	11	with	with	ADP
ap-10062	197	12	integration	integration	NOUN
ap-10062	197	13	.	.	PUNCT
ap-10062	198	1	the	the	DET
ap-10062	198	2	custom	custom	NOUN
ap-10062	198	3	software	software	NOUN
ap-10062	198	4	for	for	ADP
ap-10062	198	5	the	the	DET
ap-10062	198	6	method	method	NOUN
ap-10062	198	7	was	be	AUX
ap-10062	198	8	run	run	VERB
ap-10062	198	9	on	on	ADP
ap-10062	198	10	a	a	DET
ap-10062	198	11	desktop	desktop	NOUN
ap-10062	198	12	computer	computer	NOUN
ap-10062	198	13	within	within	ADP
ap-10062	198	14	the	the	DET
ap-10062	198	15	context	context	NOUN
ap-10062	198	16	of	of	ADP
ap-10062	198	17	a	a	DET
ap-10062	198	18	suitable	suitable	ADJ
ap-10062	198	19	programming	programming	NOUN
ap-10062	198	20	environment	environment	NOUN
ap-10062	198	21	.	.	PUNCT
ap-10062	199	1	the	the	DET
ap-10062	199	2	software	software	NOUN
ap-10062	199	3	was	be	AUX
ap-10062	199	4	developed	develop	VERB
ap-10062	199	5	specifically	specifically	ADV
ap-10062	199	6	for	for	ADP
ap-10062	199	7	the	the	DET
ap-10062	199	8	method	method	NOUN
ap-10062	199	9	.	.	PUNCT
ap-10062	200	1	mathematica	mathematica	PROPN
ap-10062	200	2	is	be	AUX
ap-10062	200	3	the	the	DET
ap-10062	200	4	name	name	NOUN
ap-10062	200	5	of	of	ADP
ap-10062	200	6	the	the	DET
ap-10062	200	7	programming	programming	NOUN
ap-10062	200	8	language	language	NOUN
ap-10062	200	9	that	that	PRON
ap-10062	200	10	was	be	AUX
ap-10062	200	11	used	use	VERB
ap-10062	200	12	to	to	PART
ap-10062	200	13	create	create	VERB
ap-10062	200	14	the	the	DET
ap-10062	200	15	software	software	NOUN
ap-10062	200	16	application	application	NOUN
ap-10062	200	17	for	for	ADP
ap-10062	200	18	the	the	DET
ap-10062	200	19	computer	computer	NOUN
ap-10062	200	20	.	.	PUNCT
ap-10062	201	1	3.1	3.1	NUM
ap-10062	201	2	.	.	PUNCT
ap-10062	201	3	program	program	NOUN
ap-10062	201	4	code	code	NOUN
ap-10062	201	5	validation	validation	NOUN
ap-10062	201	6	tables	table	NOUN
ap-10062	201	7	1	1	NUM
ap-10062	201	8	and	and	CCONJ
ap-10062	201	9	2	2	NUM
ap-10062	201	10	compare	compare	VERB
ap-10062	201	11	the	the	DET
ap-10062	201	12	authors	author	NOUN
ap-10062	201	13	’	’	PART
ap-10062	201	14	most	most	ADJ
ap-10062	201	15	recent	recent	ADJ
ap-10062	201	16	numerical	numerical	ADJ
ap-10062	201	17	findings	finding	NOUN
ap-10062	201	18	for	for	ADP
ap-10062	201	19	various	various	ADJ
ap-10062	201	20	values	value	NOUN
ap-10062	201	21	of	of	ADP
ap-10062	201	22	c	c	PROPN
ap-10062	201	23	at	at	ADP
ap-10062	201	24	pr	pr	NOUN
ap-10062	201	25	=	=	NOUN
ap-10062	201	26	1.0	1.0	NUM
ap-10062	201	27	with	with	ADP
ap-10062	201	28	those	those	PRON
ap-10062	201	29	previously	previously	ADV
ap-10062	201	30	reported	report	VERB
ap-10062	201	31	by	by	ADP
ap-10062	201	32	liu	liu	PROPN
ap-10062	201	33	and	and	CCONJ
ap-10062	201	34	anderson	anderson	PROPN
ap-10062	202	1	[	[	X
ap-10062	202	2	30	30	NUM
ap-10062	202	3	]	]	PUNCT
ap-10062	202	4	and	and	CCONJ
ap-10062	202	5	ammar	ammar	PROPN
ap-10062	202	6	mushtaq	mushtaq	PROPN
ap-10062	202	7	et	et	PROPN
ap-10062	202	8	al	al	PROPN
ap-10062	202	9	.	.	PUNCT
ap-10062	203	1	[	[	X
ap-10062	203	2	29	29	NUM
ap-10062	203	3	]	]	PUNCT
ap-10062	203	4	.	.	PUNCT
ap-10062	204	1	this	this	DET
ap-10062	204	2	comparison	comparison	NOUN
ap-10062	204	3	demonstrates	demonstrate	VERB
ap-10062	204	4	the	the	DET
ap-10062	204	5	close	close	ADJ
ap-10062	204	6	alignment	alignment	NOUN
ap-10062	204	7	between	between	ADP
ap-10062	204	8	our	our	PRON
ap-10062	204	9	numerical	numerical	ADJ
ap-10062	204	10	findings	finding	NOUN
ap-10062	204	11	and	and	CCONJ
ap-10062	204	12	the	the	DET
ap-10062	204	13	results	result	NOUN
ap-10062	204	14	of	of	ADP
ap-10062	204	15	published	publish	VERB
ap-10062	204	16	studies	study	NOUN
ap-10062	204	17	.	.	PUNCT
ap-10062	205	1	4	4	X
ap-10062	205	2	.	.	NOUN
ap-10062	205	3	results	result	NOUN
ap-10062	205	4	and	and	CCONJ
ap-10062	205	5	discussion	discussion	NOUN
ap-10062	205	6	in	in	ADP
ap-10062	205	7	this	this	DET
ap-10062	205	8	section	section	NOUN
ap-10062	205	9	,	,	PUNCT
ap-10062	205	10	the	the	DET
ap-10062	205	11	authors	author	NOUN
ap-10062	205	12	have	have	AUX
ap-10062	205	13	created	create	VERB
ap-10062	205	14	a	a	DET
ap-10062	205	15	series	series	NOUN
ap-10062	205	16	of	of	ADP
ap-10062	205	17	images	image	NOUN
ap-10062	205	18	to	to	PART
ap-10062	205	19	illustrate	illustrate	VERB
ap-10062	205	20	the	the	DET
ap-10062	205	21	potential	potential	ADJ
ap-10062	205	22	impact	impact	NOUN
ap-10062	205	23	of	of	ADP
ap-10062	205	24	various	various	ADJ
ap-10062	205	25	factors	factor	NOUN
ap-10062	205	26	on	on	ADP
ap-10062	205	27	equations	equation	NOUN
ap-10062	205	28	for	for	ADP
ap-10062	205	29	temperature	temperature	NOUN
ap-10062	205	30	,	,	PUNCT
ap-10062	205	31	concentration	concentration	NOUN
ap-10062	205	32	,	,	PUNCT
ap-10062	205	33	and	and	CCONJ
ap-10062	205	34	dimensionless	dimensionless	NOUN
ap-10062	205	35	velocity	velocity	NOUN
ap-10062	205	36	.	.	PUNCT
ap-10062	206	1	the	the	DET
ap-10062	206	2	parameter	parameter	NOUN
ap-10062	206	3	ranges	range	VERB
ap-10062	206	4	necessary	necessary	ADJ
ap-10062	206	5	to	to	PART
ap-10062	206	6	generate	generate	VERB
ap-10062	206	7	the	the	DET
ap-10062	206	8	graphical	graphical	ADJ
ap-10062	206	9	representations	representation	NOUN
ap-10062	206	10	are	be	AUX
ap-10062	206	11	built	build	VERB
ap-10062	206	12	on	on	ADP
ap-10062	206	13	the	the	DET
ap-10062	206	14	following	follow	VERB
ap-10062	206	15	critical	critical	ADJ
ap-10062	206	16	values	value	NOUN
ap-10062	206	17	:	:	PUNCT
ap-10062	207	1	m	m	VERB
ap-10062	207	2	(	(	PUNCT
ap-10062	207	3	magnetic	magnetic	ADJ
ap-10062	207	4	field	field	NOUN
ap-10062	207	5	parameter	parameter	NOUN
ap-10062	207	6	)	)	PUNCT
ap-10062	207	7	=	=	SYM
ap-10062	207	8	0.5	0.5	NUM
ap-10062	207	9	,	,	PUNCT
ap-10062	207	10	k	k	PROPN
ap-10062	207	11	(	(	PUNCT
ap-10062	207	12	maxwell	maxwell	PROPN
ap-10062	207	13	fluid	fluid	ADJ
ap-10062	207	14	parameter	parameter	NOUN
ap-10062	207	15	or	or	CCONJ
ap-10062	207	16	deborah	deborah	PROPN
ap-10062	207	17	number	number	NOUN
ap-10062	207	18	)	)	PUNCT
ap-10062	207	19	=	=	SYM
ap-10062	207	20	0.5	0.5	NUM
ap-10062	207	21	,	,	PUNCT
ap-10062	207	22	c	c	PROPN
ap-10062	207	23	(	(	PUNCT
ap-10062	207	24	velocity	velocity	NOUN
ap-10062	207	25	ratio	ratio	NOUN
ap-10062	207	26	parameter	parameter	NOUN
ap-10062	207	27	)	)	PUNCT
ap-10062	207	28	=	=	SYM
ap-10062	207	29	0.5	0.5	NUM
ap-10062	207	30	,	,	PUNCT
ap-10062	207	31	pr	pr	NOUN
ap-10062	207	32	(	(	PUNCT
ap-10062	207	33	prandtl	prandtl	NOUN
ap-10062	207	34	number	number	NOUN
ap-10062	207	35	)	)	PUNCT
ap-10062	207	36	=	=	SYM
ap-10062	207	37	0.22	0.22	NUM
ap-10062	207	38	,	,	PUNCT
ap-10062	207	39	r	r	NOUN
ap-10062	207	40	=	=	SYM
ap-10062	207	41	0.5	0.5	NUM
ap-10062	207	42	,	,	PUNCT
ap-10062	207	43	nb	nb	NOUN
ap-10062	207	44	=	=	SYM
ap-10062	207	45	0.5	0.5	NUM
ap-10062	207	46	,	,	PUNCT
ap-10062	207	47	nt	not	PART
ap-10062	207	48	=	=	NOUN
ap-10062	207	49	0.5	0.5	NUM
ap-10062	207	50	,	,	PUNCT
ap-10062	207	51	du	du	X
ap-10062	207	52	(	(	PUNCT
ap-10062	207	53	dufour	dufour	PROPN
ap-10062	207	54	number	number	NOUN
ap-10062	207	55	)	)	PUNCT
ap-10062	207	56	=	=	SYM
ap-10062	207	57	0.5	0.5	NUM
ap-10062	207	58	,	,	PUNCT
ap-10062	207	59	sr	sr	PROPN
ap-10062	207	60	(	(	PUNCT
ap-10062	207	61	soret	soret	VERB
ap-10062	207	62	number	number	NOUN
ap-10062	207	63	)	)	PUNCT
ap-10062	207	64	=	=	SYM
ap-10062	207	65	0.5	0.5	NUM
ap-10062	207	66	,	,	PUNCT
ap-10062	207	67	sc	sc	X
ap-10062	207	68	(	(	PUNCT
ap-10062	207	69	schmidt	schmidt	ADJ
ap-10062	207	70	number	number	NOUN
ap-10062	207	71	)	)	PUNCT
ap-10062	207	72	=	=	SYM
ap-10062	207	73	0.22	0.22	NUM
ap-10062	207	74	,	,	PUNCT
ap-10062	207	75	δ	δ	PROPN
ap-10062	207	76	(	(	PUNCT
ap-10062	207	77	thermal	thermal	ADJ
ap-10062	207	78	biot	biot	ADJ
ap-10062	207	79	number	number	NOUN
ap-10062	207	80	)	)	PUNCT
ap-10062	207	81	=	=	SYM
ap-10062	207	82	0.1	0.1	NUM
ap-10062	207	83	,	,	PUNCT
ap-10062	207	84	ζ	ζ	NOUN
ap-10062	207	85	(	(	PUNCT
ap-10062	207	86	mass	mass	ADJ
ap-10062	207	87	biot	biot	ADJ
ap-10062	207	88	number	number	NOUN
ap-10062	207	89	)	)	PUNCT
ap-10062	207	90	=	=	SYM
ap-10062	207	91	0.1	0.1	NUM
ap-10062	207	92	,	,	PUNCT
ap-10062	207	93	and	and	CCONJ
ap-10062	207	94	θw	θw	INTJ
ap-10062	207	95	(	(	PUNCT
ap-10062	207	96	temperature	temperature	NOUN
ap-10062	207	97	ratio	ratio	NOUN
ap-10062	207	98	parameter	parameter	NOUN
ap-10062	207	99	)	)	PUNCT
ap-10062	207	100	=	=	SYM
ap-10062	207	101	0.5	0.5	NUM
ap-10062	207	102	(	(	PUNCT
ap-10062	207	103	see	see	VERB
ap-10062	207	104	figures	figure	NOUN
ap-10062	207	105	3–20	3–20	NUM
ap-10062	207	106	)	)	PUNCT
ap-10062	207	107	.	.	PUNCT
ap-10062	208	1	figures	figure	NOUN
ap-10062	208	2	3	3	NUM
ap-10062	208	3	and	and	CCONJ
ap-10062	208	4	4	4	NUM
ap-10062	208	5	show	show	VERB
ap-10062	208	6	the	the	DET
ap-10062	208	7	effect	effect	NOUN
ap-10062	208	8	of	of	ADP
ap-10062	208	9	the	the	DET
ap-10062	208	10	magnetic	magnetic	ADJ
ap-10062	208	11	field	field	NOUN
ap-10062	208	12	parameter	parameter	NOUN
ap-10062	208	13	(	(	PUNCT
ap-10062	208	14	m	m	NOUN
ap-10062	208	15	)	)	PUNCT
ap-10062	208	16	on	on	ADP
ap-10062	208	17	the	the	DET
ap-10062	208	18	velocity	velocity	NOUN
ap-10062	208	19	profiles	profile	NOUN
ap-10062	208	20	along	along	ADP
ap-10062	208	21	xand	xand	PROPN
ap-10062	208	22	ydirections	ydirection	NOUN
ap-10062	208	23	,	,	PUNCT
ap-10062	208	24	respectively	respectively	ADV
ap-10062	208	25	.	.	PUNCT
ap-10062	209	1	it	it	PRON
ap-10062	209	2	has	have	AUX
ap-10062	209	3	been	be	AUX
ap-10062	209	4	demonstrated	demonstrate	VERB
ap-10062	209	5	that	that	SCONJ
ap-10062	209	6	velocity	velocity	NOUN
ap-10062	209	7	fields	field	NOUN
ap-10062	209	8	diminish	diminish	VERB
ap-10062	209	9	as	as	ADP
ap-10062	209	10	m	m	NOUN
ap-10062	209	11	increases	increase	NOUN
ap-10062	209	12	.	.	PUNCT
ap-10062	210	1	the	the	DET
ap-10062	210	2	fluid	fluid	ADJ
ap-10062	210	3	flow	flow	NOUN
ap-10062	210	4	tends	tend	VERB
ap-10062	210	5	to	to	PART
ap-10062	210	6	slow	slow	VERB
ap-10062	210	7	down	down	ADP
ap-10062	210	8	in	in	ADP
ap-10062	210	9	the	the	DET
ap-10062	210	10	presence	presence	NOUN
ap-10062	210	11	of	of	ADP
ap-10062	210	12	a	a	DET
ap-10062	210	13	magnetic	magnetic	ADJ
ap-10062	210	14	field	field	NOUN
ap-10062	210	15	,	,	PUNCT
ap-10062	210	16	which	which	PRON
ap-10062	210	17	reduces	reduce	VERB
ap-10062	210	18	the	the	DET
ap-10062	210	19	thickness	thickness	NOUN
ap-10062	210	20	of	of	ADP
ap-10062	210	21	the	the	DET
ap-10062	210	22	velocity	velocity	NOUN
ap-10062	210	23	and	and	CCONJ
ap-10062	210	24	momentum	momentum	NOUN
ap-10062	210	25	boundary	boundary	ADJ
ap-10062	210	26	layers	layer	NOUN
ap-10062	210	27	.	.	PUNCT
ap-10062	211	1	the	the	DET
ap-10062	211	2	influence	influence	NOUN
ap-10062	211	3	of	of	ADP
ap-10062	211	4	the	the	DET
ap-10062	211	5	maxwell	maxwell	PROPN
ap-10062	211	6	fluid	fluid	PROPN
ap-10062	211	7	parameter	parameter	NOUN
ap-10062	211	8	,	,	PUNCT
ap-10062	211	9	or	or	CCONJ
ap-10062	211	10	deborah	deborah	PROPN
ap-10062	211	11	number	number	NOUN
ap-10062	211	12	(	(	PUNCT
ap-10062	211	13	k	k	NOUN
ap-10062	211	14	)	)	PUNCT
ap-10062	211	15	,	,	PUNCT
ap-10062	211	16	on	on	ADP
ap-10062	211	17	the	the	DET
ap-10062	211	18	xand	xand	NOUN
ap-10062	211	19	y471	y471	PROPN
ap-10062	211	20	t.	t.	PROPN
ap-10062	211	21	poornakantha	poornakantha	PROPN
ap-10062	211	22	,	,	PUNCT
ap-10062	211	23	m.	m.	PROPN
ap-10062	211	24	l.	l.	PROPN
ap-10062	211	25	prasanna	prasanna	PROPN
ap-10062	211	26	,	,	PUNCT
ap-10062	211	27	m.	m.	NOUN
ap-10062	211	28	gundagani	gundagani	PROPN
ap-10062	211	29	acta	acta	PROPN
ap-10062	211	30	polytechnica	polytechnica	PROPN
ap-10062	211	31	figure	figure	NOUN
ap-10062	211	32	3	3	NUM
ap-10062	211	33	.	.	PUNCT
ap-10062	211	34	primary	primary	ADJ
ap-10062	211	35	velocity	velocity	NOUN
ap-10062	211	36	profile	profile	NOUN
ap-10062	211	37	sensitivity	sensitivity	NOUN
ap-10062	211	38	to	to	ADP
ap-10062	211	39	magnetic	magnetic	ADJ
ap-10062	211	40	field	field	NOUN
ap-10062	211	41	parameter	parameter	NOUN
ap-10062	211	42	.	.	PUNCT
ap-10062	212	1	figure	figure	NOUN
ap-10062	212	2	4	4	NUM
ap-10062	212	3	.	.	PUNCT
ap-10062	212	4	secondary	secondary	ADJ
ap-10062	212	5	velocity	velocity	NOUN
ap-10062	212	6	sensitivity	sensitivity	NOUN
ap-10062	212	7	to	to	ADP
ap-10062	212	8	magnetic	magnetic	ADJ
ap-10062	212	9	field	field	NOUN
ap-10062	212	10	parameter	parameter	NOUN
ap-10062	212	11	.	.	PUNCT
ap-10062	213	1	components	component	NOUN
ap-10062	213	2	of	of	ADP
ap-10062	213	3	velocity	velocity	NOUN
ap-10062	213	4	is	be	AUX
ap-10062	213	5	sketched	sketch	VERB
ap-10062	213	6	in	in	ADP
ap-10062	213	7	the	the	DET
ap-10062	213	8	figures	figure	NOUN
ap-10062	213	9	5	5	NUM
ap-10062	213	10	and	and	CCONJ
ap-10062	213	11	6	6	NUM
ap-10062	213	12	respectively	respectively	ADV
ap-10062	213	13	.	.	PUNCT
ap-10062	214	1	the	the	DET
ap-10062	214	2	deviation	deviation	NOUN
ap-10062	214	3	of	of	ADP
ap-10062	214	4	the	the	DET
ap-10062	214	5	fluid	fluid	NOUN
ap-10062	214	6	’s	’s	PART
ap-10062	214	7	relaxation	relaxation	NOUN
ap-10062	214	8	period	period	NOUN
ap-10062	214	9	from	from	ADP
ap-10062	214	10	its	its	PRON
ap-10062	214	11	basic	basic	ADJ
ap-10062	214	12	timescale	timescale	NOUN
ap-10062	214	13	is	be	AUX
ap-10062	214	14	quantified	quantify	VERB
ap-10062	214	15	by	by	ADP
ap-10062	214	16	the	the	DET
ap-10062	214	17	deborah	deborah	PROPN
ap-10062	214	18	number	number	NOUN
ap-10062	214	19	.	.	PUNCT
ap-10062	215	1	the	the	DET
ap-10062	215	2	relaxation	relaxation	NOUN
ap-10062	215	3	period	period	NOUN
ap-10062	215	4	is	be	AUX
ap-10062	215	5	the	the	DET
ap-10062	215	6	amount	amount	NOUN
ap-10062	215	7	of	of	ADP
ap-10062	215	8	time	time	NOUN
ap-10062	215	9	the	the	DET
ap-10062	215	10	fluid	fluid	NOUN
ap-10062	215	11	requires	require	VERB
ap-10062	215	12	to	to	PART
ap-10062	215	13	reach	reach	VERB
ap-10062	215	14	equilibrium	equilibrium	NOUN
ap-10062	215	15	following	follow	VERB
ap-10062	215	16	the	the	DET
ap-10062	215	17	application	application	NOUN
ap-10062	215	18	of	of	ADP
ap-10062	215	19	the	the	DET
ap-10062	215	20	shear	shear	NOUN
ap-10062	215	21	force	force	NOUN
ap-10062	215	22	.	.	PUNCT
ap-10062	216	1	it	it	PRON
ap-10062	216	2	is	be	AUX
ap-10062	216	3	predicted	predict	VERB
ap-10062	216	4	that	that	SCONJ
ap-10062	216	5	higher	high	ADJ
ap-10062	216	6	viscosity	viscosity	NOUN
ap-10062	216	7	fluids	fluid	NOUN
ap-10062	216	8	may	may	AUX
ap-10062	216	9	take	take	VERB
ap-10062	216	10	longer	long	ADV
ap-10062	216	11	to	to	PART
ap-10062	216	12	relax	relax	VERB
ap-10062	216	13	.	.	PUNCT
ap-10062	217	1	since	since	SCONJ
ap-10062	217	2	fluid	fluid	ADJ
ap-10062	217	3	viscosity	viscosity	NOUN
ap-10062	217	4	slows	slow	VERB
ap-10062	217	5	down	down	ADP
ap-10062	217	6	fluid	fluid	ADJ
ap-10062	217	7	motion	motion	NOUN
ap-10062	217	8	and	and	CCONJ
ap-10062	217	9	decreases	decrease	VERB
ap-10062	217	10	velocity	velocity	NOUN
ap-10062	217	11	,	,	PUNCT
ap-10062	217	12	it	it	PRON
ap-10062	217	13	is	be	AUX
ap-10062	217	14	possible	possible	ADJ
ap-10062	217	15	to	to	PART
ap-10062	217	16	interpret	interpret	VERB
ap-10062	217	17	an	an	DET
ap-10062	217	18	increase	increase	NOUN
ap-10062	217	19	in	in	ADP
ap-10062	217	20	k	k	PROPN
ap-10062	217	21	in	in	ADP
ap-10062	217	22	this	this	DET
ap-10062	217	23	way	way	NOUN
ap-10062	217	24	.	.	PUNCT
ap-10062	218	1	as	as	ADP
ap-10062	218	2	k	k	PROPN
ap-10062	218	3	increases	increase	NOUN
ap-10062	218	4	,	,	PUNCT
ap-10062	218	5	the	the	DET
ap-10062	218	6	hydrodynamic	hydrodynamic	ADJ
ap-10062	218	7	boundary	boundary	ADJ
ap-10062	218	8	layer	layer	NOUN
ap-10062	218	9	becomes	become	VERB
ap-10062	218	10	thinner	thin	ADJ
ap-10062	218	11	.	.	PUNCT
ap-10062	219	1	it	it	PRON
ap-10062	219	2	should	should	AUX
ap-10062	219	3	also	also	ADV
ap-10062	219	4	be	be	AUX
ap-10062	219	5	noted	note	VERB
ap-10062	219	6	that	that	SCONJ
ap-10062	219	7	the	the	DET
ap-10062	219	8	three	three	NUM
ap-10062	219	9	-	-	PUNCT
ap-10062	219	10	dimensional	dimensional	ADJ
ap-10062	219	11	flow	flow	NOUN
ap-10062	219	12	exhibits	exhibit	VERB
ap-10062	219	13	a	a	DET
ap-10062	219	14	greater	great	ADJ
ap-10062	219	15	shift	shift	NOUN
ap-10062	219	16	in	in	ADP
ap-10062	219	17	the	the	DET
ap-10062	219	18	velocity	velocity	NOUN
ap-10062	219	19	fields	field	NOUN
ap-10062	219	20	f	f	PROPN
ap-10062	219	21	and	and	CCONJ
ap-10062	219	22	g	g	PROPN
ap-10062	219	23	than	than	ADP
ap-10062	219	24	the	the	DET
ap-10062	219	25	axisymmetric	axisymmetric	ADJ
ap-10062	219	26	and	and	CCONJ
ap-10062	219	27	two	two	NUM
ap-10062	219	28	-	-	PUNCT
ap-10062	219	29	dimensional	dimensional	ADJ
ap-10062	219	30	flows	flow	NOUN
ap-10062	219	31	.	.	PUNCT
ap-10062	220	1	figures	figure	NOUN
ap-10062	220	2	7	7	NUM
ap-10062	220	3	and	and	CCONJ
ap-10062	220	4	8	8	NUM
ap-10062	220	5	illustrate	illustrate	VERB
ap-10062	220	6	the	the	DET
ap-10062	220	7	behaviour	behaviour	NOUN
ap-10062	220	8	of	of	ADP
ap-10062	220	9	the	the	DET
ap-10062	220	10	velocity	velocity	NOUN
ap-10062	220	11	ratio	ratio	NOUN
ap-10062	220	12	parameter	parameter	NOUN
ap-10062	220	13	(	(	PUNCT
ap-10062	220	14	c	c	NOUN
ap-10062	220	15	)	)	PUNCT
ap-10062	220	16	on	on	ADP
ap-10062	220	17	the	the	DET
ap-10062	220	18	primary	primary	ADJ
ap-10062	220	19	and	and	CCONJ
ap-10062	220	20	secondary	secondary	ADJ
ap-10062	220	21	velocity	velocity	NOUN
ap-10062	220	22	profiles	profile	NOUN
ap-10062	220	23	,	,	PUNCT
ap-10062	220	24	respectively	respectively	ADV
ap-10062	220	25	.	.	PUNCT
ap-10062	221	1	these	these	DET
ap-10062	221	2	figures	figure	NOUN
ap-10062	221	3	show	show	VERB
ap-10062	221	4	that	that	SCONJ
ap-10062	221	5	both	both	CCONJ
ap-10062	221	6	the	the	DET
ap-10062	221	7	primary	primary	ADJ
ap-10062	221	8	and	and	CCONJ
ap-10062	221	9	secondary	secondary	ADJ
ap-10062	221	10	velocity	velocity	NOUN
ap-10062	221	11	profiles	profile	NOUN
ap-10062	221	12	increase	increase	VERB
ap-10062	221	13	with	with	ADP
ap-10062	221	14	rising	rise	VERB
ap-10062	221	15	values	value	NOUN
ap-10062	221	16	of	of	ADP
ap-10062	221	17	the	the	DET
ap-10062	221	18	velocity	velocity	NOUN
ap-10062	221	19	ratio	ratio	NOUN
ap-10062	221	20	parameter	parameter	NOUN
ap-10062	221	21	.	.	PUNCT
ap-10062	222	1	figure	figure	NOUN
ap-10062	222	2	9	9	NUM
ap-10062	222	3	illustrates	illustrate	VERB
ap-10062	222	4	how	how	SCONJ
ap-10062	222	5	the	the	DET
ap-10062	222	6	prandtl	prandtl	NOUN
ap-10062	222	7	number	number	NOUN
ap-10062	222	8	changes	change	VERB
ap-10062	222	9	with	with	ADP
ap-10062	222	10	temperature	temperature	NOUN
ap-10062	222	11	.	.	PUNCT
ap-10062	223	1	it	it	PRON
ap-10062	223	2	can	can	AUX
ap-10062	223	3	be	be	AUX
ap-10062	223	4	concluded	conclude	VERB
ap-10062	223	5	that	that	SCONJ
ap-10062	223	6	increasing	increase	VERB
ap-10062	223	7	prandtl	prandtl	NOUN
ap-10062	223	8	number	number	NOUN
ap-10062	223	9	values	value	NOUN
ap-10062	223	10	produce	produce	VERB
ap-10062	223	11	narrower	narrow	ADJ
ap-10062	223	12	temperature	temperature	NOUN
ap-10062	223	13	boundary	boundary	ADJ
ap-10062	223	14	layers	layer	NOUN
ap-10062	223	15	.	.	PUNCT
ap-10062	224	1	temperatures	temperature	NOUN
ap-10062	224	2	drop	drop	VERB
ap-10062	224	3	as	as	ADP
ap-10062	224	4	a	a	DET
ap-10062	224	5	result	result	NOUN
ap-10062	224	6	of	of	ADP
ap-10062	224	7	reduced	reduced	ADJ
ap-10062	224	8	thermal	thermal	ADJ
ap-10062	224	9	diffusivity	diffusivity	NOUN
ap-10062	224	10	in	in	ADP
ap-10062	224	11	fluids	fluid	NOUN
ap-10062	224	12	with	with	ADP
ap-10062	224	13	higher	high	ADJ
ap-10062	224	14	prandtl	prandtl	NOUN
ap-10062	224	15	numbers	number	NOUN
ap-10062	224	16	.	.	PUNCT
ap-10062	225	1	the	the	DET
ap-10062	225	2	variations	variation	NOUN
ap-10062	225	3	in	in	ADP
ap-10062	225	4	temperature	temperature	NOUN
ap-10062	225	5	profiles	profile	NOUN
ap-10062	225	6	caused	cause	VERB
ap-10062	225	7	by	by	ADP
ap-10062	225	8	an	an	DET
ap-10062	225	9	increase	increase	NOUN
ap-10062	225	10	in	in	ADP
ap-10062	225	11	the	the	DET
ap-10062	225	12	values	value	NOUN
ap-10062	225	13	of	of	ADP
ap-10062	225	14	(	(	PUNCT
ap-10062	225	15	r	r	NOUN
ap-10062	225	16	)	)	PUNCT
ap-10062	225	17	are	be	AUX
ap-10062	225	18	shown	show	VERB
ap-10062	225	19	in	in	ADP
ap-10062	225	20	figure	figure	NOUN
ap-10062	225	21	10	10	NUM
ap-10062	225	22	.	.	PUNCT
ap-10062	226	1	because	because	SCONJ
ap-10062	226	2	the	the	DET
ap-10062	226	3	conduction	conduction	NOUN
ap-10062	226	4	effect	effect	NOUN
ap-10062	226	5	of	of	ADP
ap-10062	226	6	the	the	DET
ap-10062	226	7	nanofluid	nanofluid	ADJ
ap-10062	226	8	increases	increase	NOUN
ap-10062	226	9	in	in	ADP
ap-10062	226	10	the	the	DET
ap-10062	226	11	presence	presence	NOUN
ap-10062	226	12	of	of	ADP
ap-10062	226	13	r	r	NOUN
ap-10062	226	14	,	,	PUNCT
ap-10062	226	15	the	the	DET
ap-10062	226	16	fluid	fluid	ADJ
ap-10062	226	17	temperature	temperature	NOUN
ap-10062	226	18	rises	rise	VERB
ap-10062	226	19	as	as	ADP
ap-10062	226	20	r	r	NOUN
ap-10062	226	21	increases	increase	NOUN
ap-10062	226	22	.	.	PUNCT
ap-10062	227	1	larger	large	ADJ
ap-10062	227	2	values	value	NOUN
ap-10062	227	3	of	of	ADP
ap-10062	227	4	r	r	NOUN
ap-10062	227	5	figure	figure	NOUN
ap-10062	227	6	5	5	NUM
ap-10062	227	7	.	.	PUNCT
ap-10062	227	8	primary	primary	ADJ
ap-10062	227	9	velocity	velocity	NOUN
ap-10062	227	10	profile	profile	NOUN
ap-10062	227	11	sensitivity	sensitivity	NOUN
ap-10062	227	12	to	to	ADP
ap-10062	227	13	maxwell	maxwell	PROPN
ap-10062	227	14	fluid	fluid	ADJ
ap-10062	227	15	parameter	parameter	NOUN
ap-10062	227	16	.	.	PUNCT
ap-10062	228	1	figure	figure	NOUN
ap-10062	228	2	6	6	NUM
ap-10062	228	3	.	.	PUNCT
ap-10062	228	4	secondary	secondary	ADJ
ap-10062	228	5	velocity	velocity	NOUN
ap-10062	228	6	profile	profile	NOUN
ap-10062	228	7	sensitivity	sensitivity	NOUN
ap-10062	228	8	to	to	ADP
ap-10062	228	9	maxwell	maxwell	PROPN
ap-10062	228	10	fluid	fluid	ADJ
ap-10062	228	11	parameter	parameter	NOUN
ap-10062	228	12	.	.	PUNCT
ap-10062	229	1	figure	figure	NOUN
ap-10062	229	2	7	7	NUM
ap-10062	229	3	.	.	PUNCT
ap-10062	229	4	primary	primary	ADJ
ap-10062	229	5	velocity	velocity	NOUN
ap-10062	229	6	profile	profile	NOUN
ap-10062	229	7	sensitivity	sensitivity	NOUN
ap-10062	229	8	to	to	AUX
ap-10062	229	9	velocity	velocity	NOUN
ap-10062	229	10	ratio	ratio	NOUN
ap-10062	229	11	parameter	parameter	NOUN
ap-10062	229	12	.	.	PUNCT
ap-10062	230	1	figure	figure	NOUN
ap-10062	230	2	8	8	NUM
ap-10062	230	3	.	.	PUNCT
ap-10062	231	1	velocity	velocity	NOUN
ap-10062	231	2	profiles	profile	NOUN
ap-10062	231	3	along	along	ADP
ap-10062	231	4	ydirection	ydirection	NOUN
ap-10062	231	5	.	.	PUNCT
ap-10062	232	1	472	472	NUM
ap-10062	232	2	vol	vol	NOUN
ap-10062	232	3	.	.	PUNCT
ap-10062	233	1	65	65	NUM
ap-10062	233	2	no	no	NOUN
ap-10062	233	3	.	.	PUNCT
ap-10062	234	1	4/2025	4/2025	PROPN
ap-10062	234	2	mathematical	mathematical	ADJ
ap-10062	234	3	modelling	modelling	NOUN
ap-10062	234	4	and	and	CCONJ
ap-10062	234	5	analysis	analysis	NOUN
ap-10062	234	6	of	of	ADP
ap-10062	234	7	three	three	NUM
ap-10062	234	8	-	-	PUNCT
ap-10062	234	9	dimensional	dimensional	ADJ
ap-10062	234	10	.	.	PUNCT
ap-10062	234	11	.	.	PUNCT
ap-10062	234	12	.	.	PUNCT
ap-10062	235	1	figure	figure	VERB
ap-10062	235	2	9	9	NUM
ap-10062	235	3	.	.	PUNCT
ap-10062	235	4	temperature	temperature	NOUN
ap-10062	235	5	for	for	ADP
ap-10062	235	6	different	different	ADJ
ap-10062	235	7	values	value	NOUN
ap-10062	235	8	of	of	ADP
ap-10062	235	9	p	p	PROPN
ap-10062	235	10	r.	r.	PROPN
ap-10062	235	11	figure	figure	NOUN
ap-10062	235	12	10	10	NUM
ap-10062	235	13	.	.	PUNCT
ap-10062	236	1	temperature	temperature	NOUN
ap-10062	236	2	profiles	profile	NOUN
ap-10062	236	3	for	for	ADP
ap-10062	236	4	various	various	ADJ
ap-10062	236	5	values	value	NOUN
ap-10062	236	6	of	of	ADP
ap-10062	236	7	r.	r.	PROPN
ap-10062	236	8	thus	thus	ADV
ap-10062	236	9	imply	imply	VERB
ap-10062	236	10	greater	great	ADJ
ap-10062	236	11	surface	surface	NOUN
ap-10062	236	12	heat	heat	NOUN
ap-10062	236	13	transfer	transfer	NOUN
ap-10062	236	14	,	,	PUNCT
ap-10062	236	15	raising	raise	VERB
ap-10062	236	16	the	the	DET
ap-10062	236	17	temperature	temperature	NOUN
ap-10062	236	18	in	in	ADP
ap-10062	236	19	the	the	DET
ap-10062	236	20	vicinity	vicinity	NOUN
ap-10062	236	21	of	of	ADP
ap-10062	236	22	the	the	DET
ap-10062	236	23	boundary	boundary	ADJ
ap-10062	236	24	layer	layer	NOUN
ap-10062	236	25	.	.	PUNCT
ap-10062	237	1	figures	figure	NOUN
ap-10062	237	2	11	11	NUM
ap-10062	237	3	and	and	CCONJ
ap-10062	237	4	12	12	NUM
ap-10062	237	5	clearly	clearly	ADV
ap-10062	237	6	illustrate	illustrate	VERB
ap-10062	237	7	this	this	DET
ap-10062	237	8	fact	fact	NOUN
ap-10062	237	9	:	:	PUNCT
ap-10062	237	10	as	as	SCONJ
ap-10062	237	11	the	the	DET
ap-10062	237	12	values	value	NOUN
ap-10062	237	13	of	of	ADP
ap-10062	237	14	the	the	DET
ap-10062	237	15	brownian	brownian	ADJ
ap-10062	237	16	motion	motion	NOUN
ap-10062	237	17	parameter	parameter	NOUN
ap-10062	237	18	increase	increase	NOUN
ap-10062	237	19	,	,	PUNCT
ap-10062	237	20	the	the	DET
ap-10062	237	21	thermal	thermal	ADJ
ap-10062	237	22	boundary	boundary	ADJ
ap-10062	237	23	layer	layer	NOUN
ap-10062	237	24	thickens	thicken	NOUN
ap-10062	237	25	and	and	CCONJ
ap-10062	237	26	the	the	DET
ap-10062	237	27	temperature	temperature	NOUN
ap-10062	237	28	difference	difference	NOUN
ap-10062	237	29	at	at	ADP
ap-10062	237	30	the	the	DET
ap-10062	237	31	surface	surface	NOUN
ap-10062	237	32	decreases	decrease	VERB
ap-10062	237	33	.	.	PUNCT
ap-10062	238	1	however	however	ADV
ap-10062	238	2	,	,	PUNCT
ap-10062	238	3	the	the	DET
ap-10062	238	4	concentration	concentration	NOUN
ap-10062	238	5	profiles	profile	NOUN
ap-10062	238	6	and	and	CCONJ
ap-10062	238	7	concentration	concentration	NOUN
ap-10062	238	8	boundary	boundary	ADJ
ap-10062	238	9	layer	layer	NOUN
ap-10062	238	10	thickness	thickness	NOUN
ap-10062	238	11	exhibit	exhibit	VERB
ap-10062	238	12	the	the	DET
ap-10062	238	13	opposite	opposite	ADJ
ap-10062	238	14	tendency	tendency	NOUN
ap-10062	238	15	when	when	SCONJ
ap-10062	238	16	the	the	DET
ap-10062	238	17	brownian	brownian	ADJ
ap-10062	238	18	motion	motion	NOUN
ap-10062	238	19	parameter	parameter	NOUN
ap-10062	238	20	increases	increase	NOUN
ap-10062	238	21	.	.	PUNCT
ap-10062	239	1	the	the	DET
ap-10062	239	2	effect	effect	NOUN
ap-10062	239	3	of	of	ADP
ap-10062	239	4	the	the	DET
ap-10062	239	5	thermophoresis	thermophoresis	NOUN
ap-10062	239	6	parameter	parameter	NOUN
ap-10062	239	7	(	(	PUNCT
ap-10062	239	8	nt	not	PART
ap-10062	239	9	)	)	PUNCT
ap-10062	239	10	on	on	ADP
ap-10062	239	11	temperature	temperature	NOUN
ap-10062	239	12	and	and	CCONJ
ap-10062	239	13	concentration	concentration	NOUN
ap-10062	239	14	curves	curve	NOUN
ap-10062	239	15	can	can	AUX
ap-10062	239	16	be	be	AUX
ap-10062	239	17	seen	see	VERB
ap-10062	239	18	in	in	ADP
ap-10062	239	19	figures	figure	NOUN
ap-10062	239	20	13	13	NUM
ap-10062	239	21	and	and	CCONJ
ap-10062	239	22	14	14	NUM
ap-10062	239	23	.	.	PUNCT
ap-10062	240	1	these	these	DET
ap-10062	240	2	findings	finding	NOUN
ap-10062	240	3	demonstrate	demonstrate	VERB
ap-10062	240	4	that	that	SCONJ
ap-10062	240	5	the	the	DET
ap-10062	240	6	temperature	temperature	NOUN
ap-10062	240	7	and	and	CCONJ
ap-10062	240	8	concentration	concentration	NOUN
ap-10062	240	9	boundary	boundary	ADJ
ap-10062	240	10	layer	layer	NOUN
ap-10062	240	11	thickness	thickness	NOUN
ap-10062	240	12	increases	increase	VERB
ap-10062	240	13	as	as	SCONJ
ap-10062	240	14	the	the	DET
ap-10062	240	15	thermophoresis	thermophoresis	NOUN
ap-10062	240	16	parameter	parameter	NOUN
ap-10062	240	17	grows	grow	VERB
ap-10062	240	18	.	.	PUNCT
ap-10062	241	1	contrasting	contrast	VERB
ap-10062	241	2	figures	figure	NOUN
ap-10062	241	3	15	15	NUM
ap-10062	241	4	and	and	CCONJ
ap-10062	241	5	16	16	NUM
ap-10062	241	6	clearly	clearly	ADV
ap-10062	241	7	shows	show	VERB
ap-10062	241	8	how	how	SCONJ
ap-10062	241	9	the	the	DET
ap-10062	241	10	dufour	dufour	PROPN
ap-10062	241	11	number	number	NOUN
ap-10062	241	12	(	(	PUNCT
ap-10062	241	13	du	du	NOUN
ap-10062	241	14	)	)	PUNCT
ap-10062	241	15	and	and	CCONJ
ap-10062	241	16	the	the	DET
ap-10062	241	17	soret	soret	NOUN
ap-10062	241	18	number	number	NOUN
ap-10062	241	19	(	(	PUNCT
ap-10062	241	20	sr	sr	PROPN
ap-10062	241	21	)	)	PUNCT
ap-10062	241	22	vary	vary	VERB
ap-10062	241	23	in	in	ADP
ap-10062	241	24	relation	relation	NOUN
ap-10062	241	25	to	to	ADP
ap-10062	241	26	the	the	DET
ap-10062	241	27	temperature	temperature	NOUN
ap-10062	241	28	and	and	CCONJ
ap-10062	241	29	concentration	concentration	NOUN
ap-10062	241	30	profiles	profile	NOUN
ap-10062	241	31	.	.	PUNCT
ap-10062	242	1	physically	physically	ADV
ap-10062	242	2	,	,	PUNCT
ap-10062	242	3	du	du	PROPN
ap-10062	242	4	has	have	VERB
ap-10062	242	5	to	to	PART
ap-10062	242	6	do	do	VERB
ap-10062	242	7	with	with	ADP
ap-10062	242	8	how	how	SCONJ
ap-10062	242	9	a	a	DET
ap-10062	242	10	concentration	concentration	NOUN
ap-10062	242	11	gradient	gradient	NOUN
ap-10062	242	12	affects	affect	VERB
ap-10062	242	13	the	the	DET
ap-10062	242	14	thermal	thermal	ADJ
ap-10062	242	15	energy	energy	NOUN
ap-10062	242	16	of	of	ADP
ap-10062	242	17	a	a	DET
ap-10062	242	18	liquid	liquid	NOUN
ap-10062	242	19	.	.	PUNCT
ap-10062	243	1	increasing	increase	VERB
ap-10062	243	2	sr	sr	PROPN
ap-10062	243	3	values	value	NOUN
ap-10062	243	4	also	also	ADV
ap-10062	243	5	improves	improve	VERB
ap-10062	243	6	concentration	concentration	NOUN
ap-10062	243	7	profiles	profile	NOUN
ap-10062	243	8	,	,	PUNCT
ap-10062	243	9	much	much	ADV
ap-10062	243	10	like	like	ADP
ap-10062	243	11	increasing	increase	VERB
ap-10062	243	12	sr	sr	PROPN
ap-10062	243	13	levels	level	NOUN
ap-10062	243	14	do	do	VERB
ap-10062	243	15	.	.	PUNCT
ap-10062	244	1	this	this	PRON
ap-10062	244	2	is	be	AUX
ap-10062	244	3	because	because	SCONJ
ap-10062	244	4	,	,	PUNCT
ap-10062	244	5	when	when	SCONJ
ap-10062	244	6	there	there	PRON
ap-10062	244	7	is	be	VERB
ap-10062	244	8	a	a	DET
ap-10062	244	9	temperature	temperature	NOUN
ap-10062	244	10	gradient	gradient	NOUN
ap-10062	244	11	,	,	PUNCT
ap-10062	244	12	mass	mass	PROPN
ap-10062	244	13	can	can	AUX
ap-10062	244	14	move	move	VERB
ap-10062	244	15	more	more	ADV
ap-10062	244	16	easily	easily	ADV
ap-10062	244	17	from	from	ADP
ap-10062	244	18	an	an	DET
ap-10062	244	19	area	area	NOUN
ap-10062	244	20	of	of	ADP
ap-10062	244	21	lower	low	ADJ
ap-10062	244	22	solute	solute	ADJ
ap-10062	244	23	concentration	concentration	NOUN
ap-10062	244	24	to	to	ADP
ap-10062	244	25	an	an	DET
ap-10062	244	26	area	area	NOUN
ap-10062	244	27	of	of	ADP
ap-10062	244	28	higher	high	ADJ
ap-10062	244	29	concentration	concentration	NOUN
ap-10062	244	30	.	.	PUNCT
ap-10062	245	1	how	how	SCONJ
ap-10062	245	2	the	the	DET
ap-10062	245	3	schmidt	schmidt	ADJ
ap-10062	245	4	number	number	NOUN
ap-10062	245	5	(	(	PUNCT
ap-10062	245	6	sc	sc	NOUN
ap-10062	245	7	)	)	PUNCT
ap-10062	245	8	impacts	impact	VERB
ap-10062	245	9	the	the	DET
ap-10062	245	10	concentration	concentration	NOUN
ap-10062	245	11	profiles	profile	NOUN
ap-10062	245	12	can	can	AUX
ap-10062	245	13	be	be	AUX
ap-10062	245	14	seen	see	VERB
ap-10062	245	15	in	in	ADP
ap-10062	245	16	figure	figure	NOUN
ap-10062	245	17	17	17	NUM
ap-10062	245	18	.	.	PUNCT
ap-10062	246	1	the	the	DET
ap-10062	246	2	sc	sc	PROPN
ap-10062	246	3	value	value	NOUN
ap-10062	246	4	is	be	AUX
ap-10062	246	5	a	a	DET
ap-10062	246	6	representation	representation	NOUN
ap-10062	246	7	of	of	ADP
ap-10062	246	8	the	the	DET
ap-10062	246	9	mass	mass	ADJ
ap-10062	246	10	diffusivity	diffusivity	NOUN
ap-10062	246	11	to	to	ADP
ap-10062	246	12	momentum	momentum	NOUN
ap-10062	246	13	ratio	ratio	NOUN
ap-10062	246	14	.	.	PUNCT
ap-10062	247	1	it	it	PRON
ap-10062	247	2	is	be	AUX
ap-10062	247	3	possible	possible	ADJ
ap-10062	247	4	to	to	PART
ap-10062	247	5	evaluate	evaluate	VERB
ap-10062	247	6	the	the	DET
ap-10062	247	7	relative	relative	ADJ
ap-10062	247	8	importance	importance	NOUN
ap-10062	247	9	of	of	ADP
ap-10062	247	10	momentum	momentum	NOUN
ap-10062	247	11	and	and	CCONJ
ap-10062	247	12	mass	mass	NOUN
ap-10062	247	13	transfer	transfer	NOUN
ap-10062	247	14	using	use	VERB
ap-10062	247	15	diffusion	diffusion	NOUN
ap-10062	247	16	in	in	ADP
ap-10062	247	17	the	the	DET
ap-10062	247	18	concentration	concentration	NOUN
ap-10062	247	19	(	(	PUNCT
ap-10062	247	20	species	species	NOUN
ap-10062	247	21	)	)	PUNCT
ap-10062	247	22	boundfigure	boundfigure	NOUN
ap-10062	247	23	11	11	NUM
ap-10062	247	24	.	.	PUNCT
ap-10062	248	1	temperature	temperature	NOUN
ap-10062	248	2	distributions	distribution	NOUN
ap-10062	248	3	for	for	ADP
ap-10062	248	4	various	various	ADJ
ap-10062	248	5	values	value	NOUN
ap-10062	248	6	of	of	ADP
ap-10062	248	7	nb	nb	PROPN
ap-10062	248	8	.	.	PROPN
ap-10062	248	9	figure	figure	PROPN
ap-10062	248	10	12	12	NUM
ap-10062	248	11	.	.	PUNCT
ap-10062	249	1	concentration	concentration	NOUN
ap-10062	249	2	distributions	distribution	NOUN
ap-10062	249	3	for	for	ADP
ap-10062	249	4	various	various	ADJ
ap-10062	249	5	values	value	NOUN
ap-10062	249	6	of	of	ADP
ap-10062	249	7	nb	nb	PROPN
ap-10062	249	8	.	.	PROPN
ap-10062	249	9	figure	figure	NOUN
ap-10062	249	10	13	13	NUM
ap-10062	249	11	.	.	PUNCT
ap-10062	250	1	temperature	temperature	NOUN
ap-10062	250	2	distributions	distribution	NOUN
ap-10062	250	3	for	for	ADP
ap-10062	250	4	various	various	ADJ
ap-10062	250	5	values	value	NOUN
ap-10062	250	6	of	of	ADP
ap-10062	250	7	nt	nt	PROPN
ap-10062	250	8	.	.	PUNCT
ap-10062	250	9	figure	figure	NOUN
ap-10062	250	10	14	14	NUM
ap-10062	250	11	.	.	PUNCT
ap-10062	251	1	concentration	concentration	NOUN
ap-10062	251	2	distributions	distribution	NOUN
ap-10062	251	3	for	for	ADP
ap-10062	251	4	various	various	ADJ
ap-10062	251	5	values	value	NOUN
ap-10062	251	6	of	of	ADP
ap-10062	251	7	nt	not	PART
ap-10062	251	8	.	.	PROPN
ap-10062	251	9	473	473	NUM
ap-10062	251	10	t.	t.	NOUN
ap-10062	251	11	poornakantha	poornakantha	NOUN
ap-10062	251	12	,	,	PUNCT
ap-10062	251	13	m.	m.	PROPN
ap-10062	251	14	l.	l.	PROPN
ap-10062	251	15	prasanna	prasanna	PROPN
ap-10062	251	16	,	,	PUNCT
ap-10062	251	17	m.	m.	NOUN
ap-10062	251	18	gundagani	gundagani	PROPN
ap-10062	251	19	acta	acta	PROPN
ap-10062	251	20	polytechnica	polytechnica	PROPN
ap-10062	251	21	figure	figure	NOUN
ap-10062	251	22	15	15	NUM
ap-10062	251	23	.	.	PUNCT
ap-10062	252	1	temperature	temperature	NOUN
ap-10062	252	2	distributions	distribution	NOUN
ap-10062	252	3	for	for	ADP
ap-10062	252	4	various	various	ADJ
ap-10062	252	5	values	value	NOUN
ap-10062	252	6	of	of	ADP
ap-10062	252	7	du	du	PROPN
ap-10062	252	8	.	.	PROPN
ap-10062	252	9	figure	figure	NOUN
ap-10062	252	10	16	16	NUM
ap-10062	252	11	.	.	PUNCT
ap-10062	253	1	concentration	concentration	NOUN
ap-10062	253	2	distributions	distribution	NOUN
ap-10062	253	3	for	for	ADP
ap-10062	253	4	various	various	ADJ
ap-10062	253	5	values	value	NOUN
ap-10062	253	6	of	of	ADP
ap-10062	253	7	sr	sr	PROPN
ap-10062	253	8	.	.	PUNCT
ap-10062	254	1	ary	ary	PROPN
ap-10062	254	2	layer	layer	NOUN
ap-10062	254	3	.	.	PUNCT
ap-10062	255	1	a	a	DET
ap-10062	255	2	decrease	decrease	NOUN
ap-10062	255	3	in	in	ADP
ap-10062	255	4	the	the	DET
ap-10062	255	5	fluid	fluid	NOUN
ap-10062	255	6	’s	’s	PART
ap-10062	255	7	mass	mass	ADJ
ap-10062	255	8	diffusivity	diffusivity	NOUN
ap-10062	255	9	is	be	AUX
ap-10062	255	10	brought	bring	VERB
ap-10062	255	11	on	on	ADP
ap-10062	255	12	by	by	ADP
ap-10062	255	13	a	a	DET
ap-10062	255	14	higher	high	ADJ
ap-10062	255	15	sc	sc	NOUN
ap-10062	255	16	value	value	NOUN
ap-10062	255	17	due	due	ADP
ap-10062	255	18	to	to	ADP
ap-10062	255	19	the	the	DET
ap-10062	255	20	inverse	inverse	NOUN
ap-10062	255	21	relationship	relationship	NOUN
ap-10062	255	22	between	between	ADP
ap-10062	255	23	mass	mass	ADJ
ap-10062	255	24	diffusivity	diffusivity	NOUN
ap-10062	255	25	and	and	CCONJ
ap-10062	255	26	sc	sc	PROPN
ap-10062	255	27	value	value	NOUN
ap-10062	255	28	.	.	PUNCT
ap-10062	256	1	weaker	weak	ADJ
ap-10062	256	2	concentration	concentration	NOUN
ap-10062	256	3	boundary	boundary	ADJ
ap-10062	256	4	layers	layer	NOUN
ap-10062	256	5	are	be	AUX
ap-10062	256	6	actually	actually	ADV
ap-10062	256	7	linked	link	VERB
ap-10062	256	8	to	to	ADP
ap-10062	256	9	a	a	DET
ap-10062	256	10	higher	high	ADJ
ap-10062	256	11	sc	sc	NOUN
ap-10062	256	12	concentrations	concentration	NOUN
ap-10062	256	13	.	.	PUNCT
ap-10062	257	1	the	the	DET
ap-10062	257	2	temperature	temperature	NOUN
ap-10062	257	3	field	field	NOUN
ap-10062	257	4	’s	’s	PART
ap-10062	257	5	impact	impact	NOUN
ap-10062	257	6	on	on	ADP
ap-10062	257	7	the	the	DET
ap-10062	257	8	thermal	thermal	ADJ
ap-10062	257	9	biot	biot	ADJ
ap-10062	257	10	number	number	NOUN
ap-10062	257	11	is	be	AUX
ap-10062	257	12	shown	show	VERB
ap-10062	257	13	in	in	ADP
ap-10062	257	14	figure	figure	NOUN
ap-10062	257	15	18	18	NUM
ap-10062	257	16	.	.	PUNCT
ap-10062	257	17	with	with	ADP
ap-10062	257	18	an	an	DET
ap-10062	257	19	increase	increase	NOUN
ap-10062	257	20	,	,	PUNCT
ap-10062	257	21	convection	convection	NOUN
ap-10062	257	22	intensifies	intensifie	NOUN
ap-10062	257	23	,	,	PUNCT
ap-10062	257	24	raising	raise	VERB
ap-10062	257	25	the	the	DET
ap-10062	257	26	temperature	temperature	NOUN
ap-10062	257	27	field	field	NOUN
ap-10062	257	28	.	.	PUNCT
ap-10062	258	1	as	as	SCONJ
ap-10062	258	2	can	can	AUX
ap-10062	258	3	be	be	AUX
ap-10062	258	4	seen	see	VERB
ap-10062	258	5	from	from	ADP
ap-10062	258	6	figure	figure	NOUN
ap-10062	258	7	19	19	NUM
ap-10062	258	8	,	,	PUNCT
ap-10062	258	9	concentration	concentration	NOUN
ap-10062	258	10	profiles	profile	NOUN
ap-10062	258	11	increase	increase	VERB
ap-10062	258	12	as	as	ADP
ap-10062	258	13	the	the	DET
ap-10062	258	14	mass	mass	ADJ
ap-10062	258	15	biot	biot	ADJ
ap-10062	258	16	number	number	NOUN
ap-10062	258	17	increases	increase	NOUN
ap-10062	258	18	.	.	PUNCT
ap-10062	259	1	from	from	ADP
ap-10062	259	2	figure	figure	NOUN
ap-10062	259	3	20	20	NUM
ap-10062	259	4	,	,	PUNCT
ap-10062	259	5	it	it	PRON
ap-10062	259	6	can	can	AUX
ap-10062	259	7	be	be	AUX
ap-10062	259	8	seen	see	VERB
ap-10062	259	9	that	that	SCONJ
ap-10062	259	10	a	a	DET
ap-10062	259	11	larger	large	ADJ
ap-10062	259	12	value	value	NOUN
ap-10062	259	13	of	of	ADP
ap-10062	259	14	θw	θw	PROPN
ap-10062	259	15	corresponds	correspond	VERB
ap-10062	259	16	to	to	ADP
ap-10062	259	17	a	a	DET
ap-10062	259	18	higher	high	ADJ
ap-10062	259	19	temperature	temperature	NOUN
ap-10062	259	20	and	and	CCONJ
ap-10062	259	21	a	a	DET
ap-10062	259	22	thicker	thick	ADJ
ap-10062	259	23	thermal	thermal	ADJ
ap-10062	259	24	boundary	boundary	ADJ
ap-10062	259	25	layer	layer	NOUN
ap-10062	259	26	.	.	PUNCT
ap-10062	260	1	as	as	ADP
ap-10062	260	2	the	the	DET
ap-10062	260	3	coefficient	coefficient	NOUN
ap-10062	260	4	of	of	ADP
ap-10062	260	5	the	the	DET
ap-10062	260	6	latter	latter	ADJ
ap-10062	260	7	component	component	NOUN
ap-10062	260	8	,	,	PUNCT
ap-10062	260	9	parameter	parameter	NOUN
ap-10062	260	10	θw	θw	NOUN
ap-10062	260	11	is	be	AUX
ap-10062	260	12	therefore	therefore	ADV
ap-10062	260	13	expected	expect	VERB
ap-10062	260	14	to	to	PART
ap-10062	260	15	support	support	VERB
ap-10062	260	16	the	the	DET
ap-10062	260	17	thermal	thermal	ADJ
ap-10062	260	18	boundary	boundary	ADJ
ap-10062	260	19	layer	layer	NOUN
ap-10062	260	20	thickness	thickness	NOUN
ap-10062	260	21	.	.	PUNCT
ap-10062	261	1	further	further	ADJ
ap-10062	261	2	observation	observation	NOUN
ap-10062	261	3	reveals	reveal	VERB
ap-10062	261	4	that	that	SCONJ
ap-10062	261	5	the	the	DET
ap-10062	261	6	profiles	profile	NOUN
ap-10062	261	7	take	take	VERB
ap-10062	261	8	on	on	ADP
ap-10062	261	9	a	a	DET
ap-10062	261	10	unique	unique	ADJ
ap-10062	261	11	s	s	ADV
ap-10062	261	12	-	-	PUNCT
ap-10062	261	13	shaped	shape	VERB
ap-10062	261	14	structure	structure	NOUN
ap-10062	261	15	as	as	ADP
ap-10062	261	16	θw	θw	ADP
ap-10062	261	17	increases	increase	NOUN
ap-10062	261	18	,	,	PUNCT
ap-10062	261	19	proving	prove	VERB
ap-10062	261	20	the	the	DET
ap-10062	261	21	presence	presence	NOUN
ap-10062	261	22	of	of	ADP
ap-10062	261	23	an	an	DET
ap-10062	261	24	adiabatic	adiabatic	ADJ
ap-10062	261	25	scenario	scenario	NOUN
ap-10062	261	26	.	.	PUNCT
ap-10062	262	1	in	in	ADP
ap-10062	262	2	other	other	ADJ
ap-10062	262	3	words	word	NOUN
ap-10062	262	4	,	,	PUNCT
ap-10062	262	5	when	when	SCONJ
ap-10062	262	6	the	the	DET
ap-10062	262	7	ratio	ratio	NOUN
ap-10062	262	8	of	of	ADP
ap-10062	262	9	the	the	DET
ap-10062	262	10	wall	wall	NOUN
ap-10062	262	11	temperature	temperature	NOUN
ap-10062	262	12	to	to	ADP
ap-10062	262	13	the	the	DET
ap-10062	262	14	ambient	ambient	ADJ
ap-10062	262	15	temperature	temperature	NOUN
ap-10062	262	16	is	be	AUX
ap-10062	262	17	sufficient	sufficient	ADJ
ap-10062	262	18	enough	enough	ADV
ap-10062	262	19	,	,	PUNCT
ap-10062	262	20	the	the	DET
ap-10062	262	21	wall	wall	PROPN
ap-10062	262	22	temperature	temperature	NOUN
ap-10062	262	23	gradient	gradient	NOUN
ap-10062	262	24	approaches	approach	VERB
ap-10062	262	25	zero	zero	NUM
ap-10062	262	26	.	.	PUNCT
ap-10062	263	1	it	it	PRON
ap-10062	263	2	was	be	AUX
ap-10062	263	3	noted	note	VERB
ap-10062	263	4	that	that	SCONJ
ap-10062	263	5	the	the	DET
ap-10062	263	6	skin	skin	NOUN
ap-10062	263	7	friction	friction	NOUN
ap-10062	263	8	coefficients	coefficient	NOUN
ap-10062	263	9	along	along	ADP
ap-10062	263	10	the	the	DET
ap-10062	263	11	x	x	NOUN
ap-10062	263	12	and	and	CCONJ
ap-10062	263	13	y	y	PROPN
ap-10062	263	14	axes	axis	NOUN
ap-10062	263	15	(	(	PUNCT
ap-10062	263	16	cfx	cfx	NOUN
ap-10062	263	17	and	and	CCONJ
ap-10062	263	18	cfy	cfy	NOUN
ap-10062	263	19	,	,	PUNCT
ap-10062	263	20	respectively	respectively	ADV
ap-10062	263	21	)	)	PUNCT
ap-10062	263	22	increase	increase	NOUN
ap-10062	263	23	with	with	ADP
ap-10062	263	24	increasing	increase	VERB
ap-10062	263	25	values	value	NOUN
ap-10062	263	26	of	of	ADP
ap-10062	263	27	c	c	PROPN
ap-10062	263	28	(	(	PUNCT
ap-10062	263	29	velocity	velocity	NOUN
ap-10062	263	30	ratio	ratio	NOUN
ap-10062	263	31	parameter	parameter	NOUN
ap-10062	263	32	)	)	PUNCT
ap-10062	263	33	,	,	PUNCT
ap-10062	263	34	r	r	X
ap-10062	263	35	,	,	PUNCT
ap-10062	263	36	nb	nb	INTJ
ap-10062	263	37	,	,	PUNCT
ap-10062	263	38	nt	not	PART
ap-10062	263	39	,	,	PUNCT
ap-10062	263	40	du	du	PROPN
ap-10062	263	41	,	,	PUNCT
ap-10062	263	42	sr	sr	PROPN
ap-10062	263	43	,	,	PUNCT
ap-10062	263	44	δ	δ	PROPN
ap-10062	263	45	,	,	PUNCT
ap-10062	263	46	ζ	ζ	PROPN
ap-10062	263	47	,	,	PUNCT
ap-10062	263	48	θw	θw	NOUN
ap-10062	263	49	(	(	PUNCT
ap-10062	263	50	temperature	temperature	NOUN
ap-10062	263	51	ratio	ratio	NOUN
ap-10062	263	52	parameter	parameter	NOUN
ap-10062	263	53	)	)	PUNCT
ap-10062	263	54	and	and	CCONJ
ap-10062	263	55	decrease	decrease	VERB
ap-10062	263	56	with	with	ADP
ap-10062	263	57	increasing	increase	VERB
ap-10062	263	58	values	value	NOUN
ap-10062	263	59	of	of	ADP
ap-10062	263	60	m	m	PROPN
ap-10062	263	61	,	,	PUNCT
ap-10062	263	62	k	k	PROPN
ap-10062	263	63	(	(	PUNCT
ap-10062	263	64	maxwell	maxwell	PROPN
ap-10062	263	65	fluid	fluid	ADJ
ap-10062	263	66	parameter	parameter	NOUN
ap-10062	263	67	or	or	CCONJ
ap-10062	263	68	deborah	deborah	PROPN
ap-10062	263	69	number	number	NOUN
ap-10062	263	70	)	)	PUNCT
ap-10062	263	71	,	,	PUNCT
ap-10062	263	72	pr	pr	NOUN
ap-10062	263	73	,	,	PUNCT
ap-10062	263	74	and	and	CCONJ
ap-10062	263	75	sc	sc	PROPN
ap-10062	263	76	.	.	PUNCT
ap-10062	264	1	as	as	SCONJ
ap-10062	264	2	can	can	AUX
ap-10062	264	3	be	be	AUX
ap-10062	264	4	seen	see	VERB
ap-10062	264	5	from	from	ADP
ap-10062	264	6	table	table	NOUN
ap-10062	264	7	3	3	NUM
ap-10062	264	8	,	,	PUNCT
ap-10062	264	9	the	the	DET
ap-10062	264	10	heat	heat	NOUN
ap-10062	264	11	transfer	transfer	NOUN
ap-10062	264	12	coefficient	coefficient	NOUN
ap-10062	264	13	rate	rate	NOUN
ap-10062	264	14	increases	increase	NOUN
ap-10062	264	15	with	with	ADP
ap-10062	264	16	rising	rise	VERB
ap-10062	264	17	values	value	NOUN
ap-10062	264	18	of	of	ADP
ap-10062	264	19	r	r	NOUN
ap-10062	264	20	,	,	PUNCT
ap-10062	264	21	nb	nb	INTJ
ap-10062	264	22	,	,	PUNCT
ap-10062	264	23	nt	not	PART
ap-10062	264	24	,	,	PUNCT
ap-10062	264	25	du	du	X
ap-10062	264	26	,	,	PUNCT
ap-10062	264	27	and	and	CCONJ
ap-10062	264	28	δ	δ	PROPN
ap-10062	264	29	,	,	PUNCT
ap-10062	264	30	θw	θw	VERB
ap-10062	264	31	while	while	SCONJ
ap-10062	264	32	the	the	DET
ap-10062	264	33	opposite	opposite	ADJ
ap-10062	264	34	effect	effect	NOUN
ap-10062	264	35	is	be	AUX
ap-10062	264	36	observed	observe	VERB
ap-10062	264	37	figure	figure	NOUN
ap-10062	264	38	17	17	NUM
ap-10062	264	39	.	.	PUNCT
ap-10062	264	40	concentration	concentration	NOUN
ap-10062	264	41	profiles	profile	NOUN
ap-10062	264	42	for	for	ADP
ap-10062	264	43	various	various	ADJ
ap-10062	264	44	values	value	NOUN
ap-10062	264	45	of	of	ADP
ap-10062	264	46	sc	sc	PROPN
ap-10062	264	47	.	.	PUNCT
ap-10062	264	48	figure	figure	PROPN
ap-10062	264	49	18	18	NUM
ap-10062	264	50	.	.	PUNCT
ap-10062	265	1	temperature	temperature	NOUN
ap-10062	265	2	distributions	distribution	NOUN
ap-10062	265	3	for	for	ADP
ap-10062	265	4	various	various	ADJ
ap-10062	265	5	values	value	NOUN
ap-10062	265	6	of	of	ADP
ap-10062	265	7	δ	δ	PROPN
ap-10062	265	8	.	.	PUNCT
ap-10062	265	9	figure	figure	NOUN
ap-10062	265	10	19	19	NUM
ap-10062	265	11	.	.	PUNCT
ap-10062	265	12	concentration	concentration	NOUN
ap-10062	265	13	profiles	profile	NOUN
ap-10062	265	14	for	for	ADP
ap-10062	265	15	various	various	ADJ
ap-10062	265	16	values	value	NOUN
ap-10062	265	17	of	of	ADP
ap-10062	265	18	ζ	ζ	PROPN
ap-10062	265	19	.	.	PUNCT
ap-10062	265	20	figure	figure	NOUN
ap-10062	265	21	20	20	NUM
ap-10062	265	22	.	.	PUNCT
ap-10062	266	1	temperature	temperature	NOUN
ap-10062	266	2	profiles	profile	NOUN
ap-10062	266	3	for	for	ADP
ap-10062	266	4	various	various	ADJ
ap-10062	266	5	values	value	NOUN
ap-10062	266	6	of	of	ADP
ap-10062	266	7	θw	θw	PROPN
ap-10062	266	8	.	.	PUNCT
ap-10062	266	9	474	474	NUM
ap-10062	266	10	vol	vol	NOUN
ap-10062	266	11	.	.	PUNCT
ap-10062	267	1	65	65	NUM
ap-10062	267	2	no	no	NOUN
ap-10062	267	3	.	.	PUNCT
ap-10062	268	1	4/2025	4/2025	PROPN
ap-10062	268	2	mathematical	mathematical	ADJ
ap-10062	268	3	modelling	modelling	NOUN
ap-10062	268	4	and	and	CCONJ
ap-10062	268	5	analysis	analysis	NOUN
ap-10062	268	6	of	of	ADP
ap-10062	268	7	three	three	NUM
ap-10062	268	8	-	-	PUNCT
ap-10062	268	9	dimensional	dimensional	ADJ
ap-10062	268	10	.	.	PUNCT
ap-10062	268	11	.	.	PUNCT
ap-10062	268	12	.	.	PUNCT
ap-10062	269	1	p	p	NOUN
ap-10062	269	2	r	r	NOUN
ap-10062	269	3	r	r	NOUN
ap-10062	269	4	nb	nb	NOUN
ap-10062	269	5	nt	not	PART
ap-10062	269	6	du	du	PROPN
ap-10062	269	7	δ	δ	PROPN
ap-10062	269	8	θw	θw	PROPN
ap-10062	269	9	nux	nux	PROPN
ap-10062	269	10	0.71	0.71	NUM
ap-10062	269	11	0.5	0.5	NUM
ap-10062	269	12	0.1	0.1	NUM
ap-10062	269	13	0.3	0.3	NUM
ap-10062	269	14	0.5	0.5	NUM
ap-10062	269	15	0.5	0.5	NUM
ap-10062	269	16	0.5	0.5	NUM
ap-10062	269	17	1.596830981948893	1.596830981948893	NUM
ap-10062	269	18	1.00	1.00	NUM
ap-10062	269	19	1.540146983497358	1.540146983497358	NUM
ap-10062	269	20	7.00	7.00	NUM
ap-10062	269	21	1.522678298079871	1.522678298079871	NUM
ap-10062	269	22	1.0	1.0	NUM
ap-10062	269	23	1.622579819879815	1.622579819879815	NUM
ap-10062	269	24	1.5	1.5	NUM
ap-10062	269	25	1.640867673619807	1.640867673619807	NUM
ap-10062	269	26	0.3	0.3	NUM
ap-10062	269	27	1.611567987134682	1.611567987134682	NUM
ap-10062	269	28	0.5	0.5	NUM
ap-10062	269	29	1.632676708713469	1.632676708713469	NUM
ap-10062	269	30	0.6	0.6	NUM
ap-10062	269	31	1.621674784390873	1.621674784390873	NUM
ap-10062	269	32	0.8	0.8	NUM
ap-10062	269	33	1.643657036096307	1.643657036096307	NUM
ap-10062	269	34	1.0	1.0	NUM
ap-10062	269	35	1.629676710760369	1.629676710760369	NUM
ap-10062	269	36	1.5	1.5	NUM
ap-10062	269	37	1.646783093109616	1.646783093109616	NUM
ap-10062	269	38	1.0	1.0	NUM
ap-10062	269	39	1.612669136036737	1.612669136036737	NUM
ap-10062	269	40	1.5	1.5	NUM
ap-10062	269	41	1.633676846987895	1.633676846987895	NUM
ap-10062	269	42	1.0	1.0	NUM
ap-10062	269	43	1.609561387560034	1.609561387560034	NUM
ap-10062	269	44	1.5	1.5	NUM
ap-10062	269	45	1.620561387408763	1.620561387408763	NUM
ap-10062	269	46	table	table	NOUN
ap-10062	269	47	3	3	NUM
ap-10062	269	48	.	.	NOUN
ap-10062	269	49	results	result	NOUN
ap-10062	269	50	for	for	ADP
ap-10062	269	51	the	the	DET
ap-10062	269	52	rate	rate	NOUN
ap-10062	269	53	of	of	ADP
ap-10062	269	54	heat	heat	NOUN
ap-10062	269	55	transfer	transfer	NOUN
ap-10062	269	56	coefficient	coefficient	NOUN
ap-10062	269	57	.	.	PUNCT
ap-10062	270	1	with	with	ADP
ap-10062	270	2	pr	pr	NOUN
ap-10062	270	3	.	.	PUNCT
ap-10062	271	1	as	as	SCONJ
ap-10062	271	2	shown	show	VERB
ap-10062	271	3	in	in	ADP
ap-10062	271	4	table	table	NOUN
ap-10062	271	5	4	4	NUM
ap-10062	271	6	,	,	PUNCT
ap-10062	271	7	the	the	DET
ap-10062	271	8	mass	mass	NOUN
ap-10062	271	9	transfer	transfer	NOUN
ap-10062	271	10	coefficient	coefficient	NOUN
ap-10062	271	11	rate	rate	NOUN
ap-10062	271	12	increases	increase	NOUN
ap-10062	271	13	with	with	ADP
ap-10062	271	14	growing	grow	VERB
ap-10062	271	15	values	value	NOUN
ap-10062	271	16	of	of	ADP
ap-10062	271	17	the	the	DET
ap-10062	271	18	nt	nt	PROPN
ap-10062	271	19	,	,	PUNCT
ap-10062	271	20	sr	sr	PROPN
ap-10062	271	21	,	,	PUNCT
ap-10062	271	22	and	and	CCONJ
ap-10062	271	23	ζ	ζ	NOUN
ap-10062	271	24	,	,	PUNCT
ap-10062	271	25	while	while	SCONJ
ap-10062	271	26	dropping	drop	VERB
ap-10062	271	27	with	with	ADP
ap-10062	271	28	rising	rise	VERB
ap-10062	271	29	values	value	NOUN
ap-10062	271	30	of	of	ADP
ap-10062	271	31	the	the	DET
ap-10062	271	32	nb	nb	NOUN
ap-10062	271	33	and	and	CCONJ
ap-10062	271	34	the	the	DET
ap-10062	271	35	schmidt	schmidt	ADJ
ap-10062	271	36	number	number	NOUN
ap-10062	271	37	.	.	PUNCT
ap-10062	272	1	5	5	X
ap-10062	272	2	.	.	X
ap-10062	272	3	conclusion	conclusion	NOUN
ap-10062	272	4	an	an	DET
ap-10062	272	5	extensive	extensive	ADJ
ap-10062	272	6	numerical	numerical	ADJ
ap-10062	272	7	parametric	parametric	PROPN
ap-10062	272	8	study	study	NOUN
ap-10062	272	9	was	be	AUX
ap-10062	272	10	performed	perform	VERB
ap-10062	272	11	on	on	ADP
ap-10062	272	12	a	a	DET
ap-10062	272	13	class	class	NOUN
ap-10062	272	14	of	of	ADP
ap-10062	272	15	nonlinear	nonlinear	ADJ
ap-10062	272	16	equations	equation	NOUN
ap-10062	272	17	to	to	PART
ap-10062	272	18	provide	provide	VERB
ap-10062	272	19	a	a	DET
ap-10062	272	20	detailed	detailed	ADJ
ap-10062	272	21	numerical	numerical	ADJ
ap-10062	272	22	explanation	explanation	NOUN
ap-10062	272	23	of	of	ADP
ap-10062	272	24	the	the	DET
ap-10062	272	25	solution	solution	NOUN
ap-10062	272	26	and	and	CCONJ
ap-10062	272	27	deliver	deliver	VERB
ap-10062	272	28	a	a	DET
ap-10062	272	29	comprehensive	comprehensive	ADJ
ap-10062	272	30	analysis	analysis	NOUN
ap-10062	272	31	of	of	ADP
ap-10062	272	32	how	how	SCONJ
ap-10062	272	33	various	various	ADJ
ap-10062	272	34	factors	factor	NOUN
ap-10062	272	35	,	,	PUNCT
ap-10062	272	36	including	include	VERB
ap-10062	272	37	the	the	DET
ap-10062	272	38	nanofluid	nanofluid	ADJ
ap-10062	272	39	properties	property	NOUN
ap-10062	272	40	and	and	CCONJ
ap-10062	272	41	other	other	ADJ
ap-10062	272	42	pertinent	pertinent	ADJ
ap-10062	272	43	parameters	parameter	NOUN
ap-10062	272	44	,	,	PUNCT
ap-10062	272	45	influence	influence	VERB
ap-10062	272	46	the	the	DET
ap-10062	272	47	flow	flow	NOUN
ap-10062	272	48	variables	variable	NOUN
ap-10062	272	49	.	.	PUNCT
ap-10062	273	1	these	these	DET
ap-10062	273	2	findings	finding	NOUN
ap-10062	273	3	are	be	AUX
ap-10062	273	4	presented	present	VERB
ap-10062	273	5	visually	visually	ADV
ap-10062	273	6	through	through	ADP
ap-10062	273	7	graphical	graphical	ADJ
ap-10062	273	8	representations	representation	NOUN
ap-10062	273	9	,	,	PUNCT
ap-10062	273	10	providing	provide	VERB
ap-10062	273	11	a	a	DET
ap-10062	273	12	clear	clear	ADJ
ap-10062	273	13	and	and	CCONJ
ap-10062	273	14	insightful	insightful	ADJ
ap-10062	273	15	understanding	understanding	NOUN
ap-10062	273	16	of	of	ADP
ap-10062	273	17	the	the	DET
ap-10062	273	18	results	result	NOUN
ap-10062	273	19	of	of	ADP
ap-10062	273	20	this	this	DET
ap-10062	273	21	study	study	NOUN
ap-10062	273	22	.	.	PUNCT
ap-10062	274	1	the	the	DET
ap-10062	274	2	resulting	result	VERB
ap-10062	274	3	conclusions	conclusion	NOUN
ap-10062	274	4	are	be	AUX
ap-10062	274	5	:	:	PUNCT
ap-10062	274	6	•	•	ADJ
ap-10062	274	7	thermal	thermal	ADJ
ap-10062	274	8	radiation	radiation	NOUN
ap-10062	274	9	,	,	PUNCT
ap-10062	274	10	thermophoresis	thermophoresis	NOUN
ap-10062	274	11	,	,	PUNCT
ap-10062	274	12	brownian	brownian	ADJ
ap-10062	274	13	motion	motion	NOUN
ap-10062	274	14	,	,	PUNCT
ap-10062	274	15	dufour	dufour	PROPN
ap-10062	274	16	number	number	NOUN
ap-10062	274	17	,	,	PUNCT
ap-10062	274	18	thermal	thermal	ADJ
ap-10062	274	19	biot	biot	ADJ
ap-10062	274	20	number	number	NOUN
ap-10062	274	21	,	,	PUNCT
ap-10062	274	22	and	and	CCONJ
ap-10062	274	23	temperature	temperature	NOUN
ap-10062	274	24	ratio	ratio	NOUN
ap-10062	274	25	are	be	AUX
ap-10062	274	26	all	all	PRON
ap-10062	274	27	indicators	indicator	NOUN
ap-10062	274	28	of	of	ADP
ap-10062	274	29	rising	rise	VERB
ap-10062	274	30	temperature	temperature	NOUN
ap-10062	274	31	profiles	profile	NOUN
ap-10062	274	32	.	.	PUNCT
ap-10062	275	1	•	•	NUM
ap-10062	275	2	the	the	DET
ap-10062	275	3	concentration	concentration	NOUN
ap-10062	275	4	profiles	profile	NOUN
ap-10062	275	5	decrease	decrease	VERB
ap-10062	275	6	as	as	ADP
ap-10062	275	7	the	the	DET
ap-10062	275	8	schmidt	schmidt	ADJ
ap-10062	275	9	number	number	NOUN
ap-10062	275	10	,	,	PUNCT
ap-10062	275	11	a	a	DET
ap-10062	275	12	brownian	brownian	ADJ
ap-10062	275	13	motion	motion	NOUN
ap-10062	275	14	parameter	parameter	NOUN
ap-10062	275	15	,	,	PUNCT
ap-10062	275	16	increases	increase	NOUN
ap-10062	275	17	.	.	PUNCT
ap-10062	276	1	•	•	NUM
ap-10062	276	2	the	the	DET
ap-10062	276	3	temperature	temperature	NOUN
ap-10062	276	4	profiles	profile	NOUN
ap-10062	276	5	decrease	decrease	VERB
ap-10062	276	6	as	as	ADP
ap-10062	276	7	the	the	DET
ap-10062	276	8	prandtl	prandtl	NOUN
ap-10062	276	9	number	number	NOUN
ap-10062	276	10	increase	increase	NOUN
ap-10062	276	11	.	.	PUNCT
ap-10062	277	1	•	•	INTJ
ap-10062	277	2	as	as	SCONJ
ap-10062	277	3	the	the	DET
ap-10062	277	4	values	value	NOUN
ap-10062	277	5	of	of	ADP
ap-10062	277	6	the	the	DET
ap-10062	277	7	maxwell	maxwell	PROPN
ap-10062	277	8	fluid	fluid	NOUN
ap-10062	277	9	and	and	CCONJ
ap-10062	277	10	magnetic	magnetic	ADJ
ap-10062	277	11	field	field	NOUN
ap-10062	277	12	parameters	parameter	NOUN
ap-10062	277	13	increase	increase	VERB
ap-10062	277	14	,	,	PUNCT
ap-10062	277	15	the	the	DET
ap-10062	277	16	velocity	velocity	NOUN
ap-10062	277	17	profiles	profile	NOUN
ap-10062	277	18	in	in	ADP
ap-10062	277	19	the	the	DET
ap-10062	277	20	x	x	NOUN
ap-10062	277	21	and	and	CCONJ
ap-10062	277	22	y	y	PROPN
ap-10062	277	23	directions	direction	NOUN
ap-10062	277	24	decrease	decrease	NOUN
ap-10062	277	25	,	,	PUNCT
ap-10062	277	26	however	however	ADV
ap-10062	277	27	,	,	PUNCT
ap-10062	277	28	the	the	DET
ap-10062	277	29	velocity	velocity	NOUN
ap-10062	277	30	ratio	ratio	NOUN
ap-10062	277	31	parameter	parameter	NOUN
ap-10062	277	32	has	have	VERB
ap-10062	277	33	the	the	DET
ap-10062	277	34	opposite	opposite	ADJ
ap-10062	277	35	effect	effect	NOUN
ap-10062	277	36	.	.	PUNCT
ap-10062	278	1	•	•	X
ap-10062	278	2	when	when	SCONJ
ap-10062	278	3	the	the	DET
ap-10062	278	4	values	value	NOUN
ap-10062	278	5	of	of	ADP
ap-10062	278	6	the	the	DET
ap-10062	278	7	thermophoresis	thermophoresis	NOUN
ap-10062	278	8	parameter	parameter	NOUN
ap-10062	278	9	,	,	PUNCT
ap-10062	278	10	the	the	DET
ap-10062	278	11	soret	soret	NOUN
ap-10062	278	12	number	number	NOUN
ap-10062	278	13	,	,	PUNCT
ap-10062	278	14	and	and	CCONJ
ap-10062	278	15	the	the	DET
ap-10062	278	16	mass	mass	ADJ
ap-10062	278	17	biot	biot	ADJ
ap-10062	278	18	number	number	NOUN
ap-10062	278	19	values	value	NOUN
ap-10062	278	20	increase	increase	NOUN
ap-10062	278	21	,	,	PUNCT
ap-10062	278	22	the	the	DET
ap-10062	278	23	concentration	concentration	NOUN
ap-10062	278	24	profiles	profile	NOUN
ap-10062	278	25	expand	expand	VERB
ap-10062	278	26	.	.	PUNCT
ap-10062	279	1	•	•	NOUN
ap-10062	279	2	finally	finally	ADV
ap-10062	279	3	,	,	PUNCT
ap-10062	279	4	under	under	ADP
ap-10062	279	5	certain	certain	ADJ
ap-10062	279	6	conditions	condition	NOUN
ap-10062	279	7	,	,	PUNCT
ap-10062	279	8	the	the	DET
ap-10062	279	9	current	current	ADJ
ap-10062	279	10	numerical	numerical	ADJ
ap-10062	279	11	results	result	NOUN
ap-10062	279	12	closely	closely	ADV
ap-10062	279	13	align	align	VERB
ap-10062	279	14	with	with	ADP
ap-10062	279	15	the	the	DET
ap-10062	279	16	those	those	PRON
ap-10062	279	17	published	publish	VERB
ap-10062	279	18	by	by	ADP
ap-10062	279	19	ammar	ammar	PROPN
ap-10062	279	20	mushtaq	mushtaq	PROPN
ap-10062	279	21	et	et	PROPN
ap-10062	279	22	al	al	PROPN
ap-10062	279	23	.	.	PUNCT
ap-10062	280	1	[	[	X
ap-10062	280	2	29	29	NUM
ap-10062	280	3	]	]	PUNCT
ap-10062	280	4	and	and	CCONJ
ap-10062	280	5	liu	liu	PROPN
ap-10062	280	6	and	and	CCONJ
ap-10062	280	7	anderson	anderson	PROPN
ap-10062	281	1	[	[	X
ap-10062	281	2	30	30	NUM
ap-10062	281	3	]	]	PUNCT
ap-10062	281	4	.	.	PUNCT
ap-10062	282	1	nt	not	PART
ap-10062	282	2	nb	nb	PROPN
ap-10062	282	3	sc	sc	PROPN
ap-10062	282	4	sr	sr	PROPN
ap-10062	282	5	ζ	ζ	PROPN
ap-10062	282	6	shx	shx	NOUN
ap-10062	282	7	0.3	0.3	NUM
ap-10062	282	8	0.1	0.1	NUM
ap-10062	282	9	0.22	0.22	NUM
ap-10062	282	10	0.5	0.5	NUM
ap-10062	282	11	0.5	0.5	NUM
ap-10062	282	12	1.865613746076340	1.865613746076340	NUM
ap-10062	282	13	0.6	0.6	NUM
ap-10062	282	14	1.899564701676437	1.899564701676437	NUM
ap-10062	282	15	0.8	0.8	NUM
ap-10062	282	16	1.921696347687664	1.921696347687664	NUM
ap-10062	282	17	0.3	0.3	NUM
ap-10062	282	18	1.838673618736870	1.838673618736870	NUM
ap-10062	282	19	0.5	0.5	NUM
ap-10062	282	20	1.810136763487613	1.810136763487613	NUM
ap-10062	282	21	0.30	0.30	NUM
ap-10062	282	22	1.835639609613409	1.835639609613409	NUM
ap-10062	282	23	0.78	0.78	NUM
ap-10062	282	24	1.817561348760834	1.817561348760834	NUM
ap-10062	282	25	1.0	1.0	NUM
ap-10062	282	26	1.889365871387687	1.889365871387687	NUM
ap-10062	282	27	1.5	1.5	NUM
ap-10062	282	28	1.909567613476763	1.909567613476763	NUM
ap-10062	282	29	1.0	1.0	NUM
ap-10062	282	30	1.890563467630197	1.890563467630197	NUM
ap-10062	282	31	1.5	1.5	NUM
ap-10062	282	32	1.915673413847891	1.915673413847891	NUM
ap-10062	282	33	table	table	NOUN
ap-10062	282	34	4	4	NUM
ap-10062	282	35	.	.	NOUN
ap-10062	282	36	results	result	NOUN
ap-10062	282	37	for	for	ADP
ap-10062	282	38	the	the	DET
ap-10062	282	39	rate	rate	NOUN
ap-10062	282	40	of	of	ADP
ap-10062	282	41	mass	mass	ADJ
ap-10062	282	42	transfer	transfer	NOUN
ap-10062	282	43	coefficient	coefficient	NOUN
ap-10062	282	44	.	.	PUNCT
ap-10062	283	1	5.1	5.1	NUM
ap-10062	283	2	.	.	PUNCT
ap-10062	284	1	future	future	ADJ
ap-10062	284	2	research	research	NOUN
ap-10062	284	3	directions	direction	VERB
ap-10062	284	4	the	the	DET
ap-10062	284	5	finite	finite	PROPN
ap-10062	284	6	element	element	NOUN
ap-10062	284	7	method	method	NOUN
ap-10062	284	8	used	use	VERB
ap-10062	284	9	in	in	ADP
ap-10062	284	10	the	the	DET
ap-10062	284	11	current	current	ADJ
ap-10062	284	12	study	study	NOUN
ap-10062	284	13	is	be	AUX
ap-10062	284	14	a	a	DET
ap-10062	284	15	highly	highly	ADV
ap-10062	284	16	useful	useful	ADJ
ap-10062	284	17	approach	approach	NOUN
ap-10062	284	18	to	to	ADP
ap-10062	284	19	solving	solve	VERB
ap-10062	284	20	linear	linear	NOUN
ap-10062	284	21	and	and	CCONJ
ap-10062	284	22	nonlinear	nonlinear	ADJ
ap-10062	284	23	partial	partial	ADJ
ap-10062	284	24	and	and	CCONJ
ap-10062	284	25	ordinary	ordinary	ADJ
ap-10062	284	26	differential	differential	ADJ
ap-10062	284	27	equations	equation	NOUN
ap-10062	284	28	in	in	ADP
ap-10062	284	29	physics	physics	NOUN
ap-10062	284	30	,	,	PUNCT
ap-10062	284	31	mechanical	mechanical	ADJ
ap-10062	284	32	engineering	engineering	NOUN
ap-10062	284	33	,	,	PUNCT
ap-10062	284	34	and	and	CCONJ
ap-10062	284	35	other	other	ADJ
ap-10062	284	36	related	related	ADJ
ap-10062	284	37	subjects	subject	NOUN
ap-10062	284	38	,	,	PUNCT
ap-10062	284	39	and	and	CCONJ
ap-10062	284	40	can	can	AUX
ap-10062	284	41	therefore	therefore	ADV
ap-10062	284	42	be	be	AUX
ap-10062	284	43	used	use	VERB
ap-10062	284	44	in	in	ADP
ap-10062	284	45	future	future	ADJ
ap-10062	284	46	research	research	NOUN
ap-10062	284	47	.	.	PUNCT
ap-10062	285	1	the	the	DET
ap-10062	285	2	resulting	result	VERB
ap-10062	285	3	findings	finding	NOUN
ap-10062	285	4	are	be	AUX
ap-10062	285	5	more	more	ADV
ap-10062	285	6	accurate	accurate	ADJ
ap-10062	285	7	than	than	ADP
ap-10062	285	8	those	those	PRON
ap-10062	285	9	obtained	obtain	VERB
ap-10062	285	10	using	use	VERB
ap-10062	285	11	other	other	ADJ
ap-10062	285	12	numerical	numerical	ADJ
ap-10062	285	13	approaches	approach	NOUN
ap-10062	285	14	.	.	PUNCT
ap-10062	286	1	the	the	DET
ap-10062	286	2	finite	finite	PROPN
ap-10062	286	3	element	element	NOUN
ap-10062	286	4	method	method	NOUN
ap-10062	286	5	is	be	AUX
ap-10062	286	6	currently	currently	ADV
ap-10062	286	7	employed	employ	VERB
ap-10062	286	8	by	by	ADP
ap-10062	286	9	mechanical	mechanical	ADJ
ap-10062	286	10	engineers	engineer	NOUN
ap-10062	286	11	to	to	PART
ap-10062	286	12	solve	solve	VERB
ap-10062	286	13	complex	complex	ADJ
ap-10062	286	14	problems	problem	NOUN
ap-10062	286	15	.	.	PUNCT
ap-10062	287	1	to	to	PART
ap-10062	287	2	improve	improve	VERB
ap-10062	287	3	our	our	PRON
ap-10062	287	4	understanding	understanding	NOUN
ap-10062	287	5	of	of	ADP
ap-10062	287	6	transport	transport	NOUN
ap-10062	287	7	phenomena	phenomenon	NOUN
ap-10062	287	8	,	,	PUNCT
ap-10062	287	9	temperature	temperature	NOUN
ap-10062	287	10	profiles	profile	NOUN
ap-10062	287	11	,	,	PUNCT
ap-10062	287	12	and	and	CCONJ
ap-10062	287	13	concentration	concentration	NOUN
ap-10062	287	14	profiles	profile	NOUN
ap-10062	287	15	,	,	PUNCT
ap-10062	287	16	future	future	ADJ
ap-10062	287	17	research	research	NOUN
ap-10062	287	18	must	must	AUX
ap-10062	287	19	examine	examine	VERB
ap-10062	287	20	the	the	DET
ap-10062	287	21	characteristics	characteristic	NOUN
ap-10062	287	22	of	of	ADP
ap-10062	287	23	nanofluid	nanofluid	ADJ
ap-10062	287	24	flow	flow	NOUN
ap-10062	287	25	.	.	PUNCT
ap-10062	288	1	references	reference	NOUN
ap-10062	288	2	[	[	X
ap-10062	288	3	1	1	NUM
ap-10062	288	4	]	]	PUNCT
ap-10062	288	5	e.	e.	PROPN
ap-10062	288	6	abu	abu	PROPN
ap-10062	288	7	-	-	PUNCT
ap-10062	288	8	nada	nada	PROPN
ap-10062	288	9	,	,	PUNCT
ap-10062	288	10	a.	a.	PROPN
ap-10062	288	11	j.	j.	PROPN
ap-10062	288	12	chamkha	chamkha	PROPN
ap-10062	288	13	.	.	PUNCT
ap-10062	289	1	mixed	mixed	ADJ
ap-10062	289	2	convection	convection	NOUN
ap-10062	289	3	flow	flow	NOUN
ap-10062	289	4	of	of	ADP
ap-10062	289	5	a	a	DET
ap-10062	289	6	nanofluid	nanofluid	NOUN
ap-10062	289	7	in	in	ADP
ap-10062	289	8	a	a	DET
ap-10062	289	9	lid	lid	NOUN
ap-10062	289	10	-	-	PUNCT
ap-10062	289	11	driven	drive	VERB
ap-10062	289	12	cavity	cavity	NOUN
ap-10062	289	13	with	with	ADP
ap-10062	289	14	a	a	DET
ap-10062	289	15	wavy	wavy	ADJ
ap-10062	289	16	wall	wall	NOUN
ap-10062	289	17	.	.	PUNCT
ap-10062	290	1	international	international	ADJ
ap-10062	290	2	communications	communication	NOUN
ap-10062	290	3	in	in	ADP
ap-10062	290	4	heat	heat	NOUN
ap-10062	290	5	and	and	CCONJ
ap-10062	290	6	mass	mass	NOUN
ap-10062	290	7	transfer	transfer	NOUN
ap-10062	290	8	57:36–47	57:36–47	NUM
ap-10062	290	9	,	,	PUNCT
ap-10062	290	10	2014	2014	NUM
ap-10062	290	11	.	.	PUNCT
ap-10062	291	1	https://doi.org/10.1016/j	https://doi.org/10.1016/j	NOUN
ap-10062	291	2	.	.	PUNCT
ap-10062	291	3	icheatmasstransfer.2014.07.013	icheatmasstransfer.2014.07.013	X
ap-10062	292	1	[	[	X
ap-10062	292	2	2	2	NUM
ap-10062	292	3	]	]	PUNCT
ap-10062	292	4	m.	m.	NOUN
ap-10062	292	5	chandrasekar	chandrasekar	PROPN
ap-10062	292	6	,	,	PUNCT
ap-10062	292	7	s.	s.	PROPN
ap-10062	292	8	suresh	suresh	PROPN
ap-10062	292	9	.	.	PUNCT
ap-10062	293	1	a	a	DET
ap-10062	293	2	review	review	NOUN
ap-10062	293	3	on	on	ADP
ap-10062	293	4	the	the	DET
ap-10062	293	5	mechanisms	mechanism	NOUN
ap-10062	293	6	of	of	ADP
ap-10062	293	7	heat	heat	NOUN
ap-10062	293	8	transport	transport	NOUN
ap-10062	293	9	in	in	ADP
ap-10062	293	10	nanofluids	nanofluid	NOUN
ap-10062	293	11	.	.	PUNCT
ap-10062	294	1	heat	heat	VERB
ap-10062	294	2	475	475	NUM
ap-10062	294	3	https://doi.org/10.1016/j.icheatmasstransfer.2014.07.013	https://doi.org/10.1016/j.icheatmasstransfer.2014.07.013	PROPN
ap-10062	294	4	https://doi.org/10.1016/j.icheatmasstransfer.2014.07.013	https://doi.org/10.1016/j.icheatmasstransfer.2014.07.013	ADJ
ap-10062	294	5	t.	t.	NOUN
ap-10062	294	6	poornakantha	poornakantha	NOUN
ap-10062	294	7	,	,	PUNCT
ap-10062	294	8	m.	m.	PROPN
ap-10062	294	9	l.	l.	PROPN
ap-10062	294	10	prasanna	prasanna	PROPN
ap-10062	294	11	,	,	PUNCT
ap-10062	294	12	m.	m.	NOUN
ap-10062	294	13	gundagani	gundagani	PROPN
ap-10062	294	14	acta	acta	PROPN
ap-10062	294	15	polytechnica	polytechnica	PROPN
ap-10062	294	16	transfer	transfer	NOUN
ap-10062	294	17	engineering	engineering	NOUN
ap-10062	294	18	30(14):1136–1150	30(14):1136–1150	NUM
ap-10062	294	19	,	,	PUNCT
ap-10062	294	20	2009	2009	NUM
ap-10062	294	21	.	.	PUNCT
ap-10062	295	1	https://doi.org/10.1080/01457630902972744	https://doi.org/10.1080/01457630902972744	VERB
ap-10062	295	2	[	[	X
ap-10062	295	3	3	3	X
ap-10062	295	4	]	]	X
ap-10062	295	5	c.	c.	PROPN
ap-10062	295	6	peng	peng	PROPN
ap-10062	295	7	,	,	PUNCT
ap-10062	295	8	l.-p	l.-p	PROPN
ap-10062	295	9	.	.	PUNCT
ap-10062	296	1	wang	wang	PROPN
ap-10062	296	2	.	.	PUNCT
ap-10062	297	1	direct	direct	ADJ
ap-10062	297	2	numerical	numerical	ADJ
ap-10062	297	3	simulations	simulation	NOUN
ap-10062	297	4	of	of	ADP
ap-10062	297	5	turbulent	turbulent	ADJ
ap-10062	297	6	pipe	pipe	NOUN
ap-10062	297	7	flow	flow	NOUN
ap-10062	297	8	laden	laden	ADJ
ap-10062	297	9	with	with	ADP
ap-10062	297	10	finite	finite	ADJ
ap-10062	297	11	-	-	NOUN
ap-10062	297	12	size	size	NOUN
ap-10062	297	13	neutrally	neutrally	ADV
ap-10062	297	14	buoyant	buoyant	ADJ
ap-10062	297	15	particles	particle	NOUN
ap-10062	297	16	at	at	ADP
ap-10062	297	17	low	low	ADJ
ap-10062	297	18	flow	flow	NOUN
ap-10062	297	19	reynolds	reynolds	PROPN
ap-10062	297	20	number	number	NOUN
ap-10062	297	21	.	.	PUNCT
ap-10062	298	1	acta	acta	PROPN
ap-10062	298	2	mechanica	mechanica	PROPN
ap-10062	298	3	230(2):517–539	230(2):517–539	NUM
ap-10062	298	4	,	,	PUNCT
ap-10062	298	5	2019	2019	NUM
ap-10062	298	6	.	.	PUNCT
ap-10062	299	1	https://doi.org/10.1007/s00707-018-2268-2	https://doi.org/10.1007/s00707-018-2268-2	NUM
ap-10062	300	1	[	[	X
ap-10062	300	2	4	4	NUM
ap-10062	300	3	]	]	X
ap-10062	300	4	g.	g.	PROPN
ap-10062	300	5	huminic	huminic	PROPN
ap-10062	300	6	,	,	PUNCT
ap-10062	300	7	a.	a.	NOUN
ap-10062	300	8	huminic	huminic	PROPN
ap-10062	300	9	.	.	PUNCT
ap-10062	301	1	heat	heat	NOUN
ap-10062	301	2	transfer	transfer	NOUN
ap-10062	301	3	and	and	CCONJ
ap-10062	301	4	flow	flow	NOUN
ap-10062	301	5	characteristics	characteristic	NOUN
ap-10062	301	6	of	of	ADP
ap-10062	301	7	conventional	conventional	ADJ
ap-10062	301	8	fluids	fluid	NOUN
ap-10062	301	9	and	and	CCONJ
ap-10062	301	10	nanofluids	nanofluid	VERB
ap-10062	301	11	in	in	ADP
ap-10062	301	12	curved	curved	ADJ
ap-10062	301	13	tubes	tube	NOUN
ap-10062	301	14	:	:	PUNCT
ap-10062	301	15	a	a	DET
ap-10062	301	16	review	review	NOUN
ap-10062	301	17	.	.	PUNCT
ap-10062	302	1	renewable	renewable	ADJ
ap-10062	302	2	and	and	CCONJ
ap-10062	302	3	sustainable	sustainable	ADJ
ap-10062	302	4	energy	energy	NOUN
ap-10062	302	5	reviews	review	NOUN
ap-10062	302	6	58:1327–1347	58:1327–1347	NUM
ap-10062	302	7	,	,	PUNCT
ap-10062	302	8	2016	2016	NUM
ap-10062	302	9	.	.	PUNCT
ap-10062	303	1	https://doi.org/10.1016/j.rser.2015.12.230	https://doi.org/10.1016/j.rser.2015.12.230	VERB
ap-10062	303	2	[	[	X
ap-10062	303	3	5	5	NUM
ap-10062	303	4	]	]	PUNCT
ap-10062	303	5	a.	a.	NOUN
ap-10062	303	6	karimipour	karimipour	PROPN
ap-10062	303	7	,	,	PUNCT
ap-10062	303	8	a.	a.	NOUN
ap-10062	303	9	taghipour	taghipour	NOUN
ap-10062	303	10	,	,	PUNCT
ap-10062	303	11	a.	a.	NOUN
ap-10062	303	12	malvandi	malvandi	NOUN
ap-10062	303	13	.	.	PUNCT
ap-10062	304	1	developing	develop	VERB
ap-10062	304	2	the	the	DET
ap-10062	304	3	laminar	laminar	ADJ
ap-10062	304	4	mhd	mhd	NOUN
ap-10062	304	5	forced	force	VERB
ap-10062	304	6	convection	convection	NOUN
ap-10062	304	7	flow	flow	NOUN
ap-10062	304	8	of	of	ADP
ap-10062	304	9	water	water	NOUN
ap-10062	304	10	/	/	SYM
ap-10062	304	11	fmwnt	fmwnt	NOUN
ap-10062	304	12	carbon	carbon	NOUN
ap-10062	304	13	nanotubes	nanotube	NOUN
ap-10062	304	14	in	in	ADP
ap-10062	304	15	a	a	DET
ap-10062	304	16	microchannel	microchannel	NOUN
ap-10062	304	17	imposed	impose	VERB
ap-10062	304	18	the	the	DET
ap-10062	304	19	uniform	uniform	ADJ
ap-10062	304	20	heat	heat	NOUN
ap-10062	304	21	flux	flux	PROPN
ap-10062	304	22	.	.	PUNCT
ap-10062	305	1	journal	journal	PROPN
ap-10062	305	2	of	of	ADP
ap-10062	305	3	magnetism	magnetism	NOUN
ap-10062	305	4	and	and	CCONJ
ap-10062	305	5	magnetic	magnetic	ADJ
ap-10062	305	6	materials	material	NOUN
ap-10062	305	7	419:420–428	419:420–428	NUM
ap-10062	305	8	,	,	PUNCT
ap-10062	305	9	2016	2016	NUM
ap-10062	305	10	.	.	PUNCT
ap-10062	306	1	https://doi.org/10.1016/j.jmmm.2016.06.063	https://doi.org/10.1016/j.jmmm.2016.06.063	PROPN
ap-10062	306	2	[	[	X
ap-10062	306	3	6	6	NUM
ap-10062	306	4	]	]	PUNCT
ap-10062	306	5	q.	q.	PROPN
ap-10062	306	6	zhao	zhao	PROPN
ap-10062	306	7	,	,	PUNCT
ap-10062	306	8	y.	y.	PROPN
ap-10062	306	9	lei	lei	PROPN
ap-10062	306	10	,	,	PUNCT
ap-10062	306	11	h.	h.	PROPN
ap-10062	306	12	jin	jin	PROPN
ap-10062	306	13	,	,	PUNCT
ap-10062	306	14	et	et	PROPN
ap-10062	307	1	al	al	PROPN
ap-10062	307	2	.	.	PROPN
ap-10062	307	3	numerical	numerical	PROPN
ap-10062	307	4	simulation	simulation	PROPN
ap-10062	307	5	of	of	ADP
ap-10062	307	6	flow	flow	NOUN
ap-10062	307	7	and	and	CCONJ
ap-10062	307	8	heat	heat	NOUN
ap-10062	307	9	transfer	transfer	NOUN
ap-10062	307	10	performance	performance	NOUN
ap-10062	307	11	during	during	ADP
ap-10062	307	12	supercritical	supercritical	ADJ
ap-10062	307	13	water	water	NOUN
ap-10062	307	14	injection	injection	NOUN
ap-10062	307	15	in	in	ADP
ap-10062	307	16	vertical	vertical	ADJ
ap-10062	307	17	wellbore	wellbore	NOUN
ap-10062	307	18	:	:	PUNCT
ap-10062	307	19	a	a	DET
ap-10062	307	20	parameter	parameter	NOUN
ap-10062	307	21	sensitivity	sensitivity	NOUN
ap-10062	307	22	analysis	analysis	NOUN
ap-10062	307	23	.	.	PUNCT
ap-10062	308	1	international	international	ADJ
ap-10062	308	2	journal	journal	NOUN
ap-10062	308	3	of	of	ADP
ap-10062	308	4	thermal	thermal	ADJ
ap-10062	308	5	sciences	science	NOUN
ap-10062	308	6	183:107855	183:107855	NUM
ap-10062	308	7	,	,	PUNCT
ap-10062	308	8	2023	2023	NUM
ap-10062	308	9	.	.	PUNCT
ap-10062	309	1	https	https	NOUN
ap-10062	309	2	:	:	PUNCT
ap-10062	309	3	//doi.org/10.1016	//doi.org/10.1016	PROPN
ap-10062	309	4	/	/	SYM
ap-10062	309	5	j.ijthermalsci.2022.107855	j.ijthermalsci.2022.107855	NOUN
ap-10062	310	1	[	[	X
ap-10062	310	2	7	7	X
ap-10062	310	3	]	]	X
ap-10062	310	4	h.	h.	PROPN
ap-10062	310	5	vaidya	vaidya	PROPN
ap-10062	310	6	,	,	PUNCT
ap-10062	310	7	k.	k.	PROPN
ap-10062	310	8	v.	v.	PROPN
ap-10062	310	9	prasad	prasad	PROPN
ap-10062	310	10	,	,	PUNCT
ap-10062	310	11	f.	f.	PROPN
ap-10062	310	12	mebarek	mebarek	PROPN
ap-10062	310	13	-	-	PUNCT
ap-10062	310	14	oudina	oudina	PROPN
ap-10062	310	15	,	,	PUNCT
ap-10062	310	16	et	et	PROPN
ap-10062	310	17	al	al	PROPN
ap-10062	310	18	.	.	PROPN
ap-10062	310	19	heat	heat	PROPN
ap-10062	310	20	and	and	CCONJ
ap-10062	310	21	mass	mass	NOUN
ap-10062	310	22	transfer	transfer	NOUN
ap-10062	310	23	characteristics	characteristic	NOUN
ap-10062	310	24	in	in	ADP
ap-10062	310	25	peristaltic	peristaltic	ADJ
ap-10062	310	26	transport	transport	NOUN
ap-10062	310	27	of	of	ADP
ap-10062	310	28	temperature	temperature	NOUN
ap-10062	310	29	-	-	PUNCT
ap-10062	310	30	dependent	dependent	ADJ
ap-10062	310	31	eyring	eyring	NOUN
ap-10062	310	32	powell	powell	PROPN
ap-10062	310	33	nanofluid	nanofluid	PROPN
ap-10062	310	34	through	through	ADP
ap-10062	310	35	an	an	DET
ap-10062	310	36	inclined	inclined	ADJ
ap-10062	310	37	uniform	uniform	ADJ
ap-10062	310	38	channel	channel	NOUN
ap-10062	310	39	.	.	PUNCT
ap-10062	311	1	international	international	ADJ
ap-10062	311	2	journal	journal	PROPN
ap-10062	311	3	of	of	ADP
ap-10062	311	4	ambient	ambient	ADJ
ap-10062	311	5	energy	energy	NOUN
ap-10062	311	6	46(1):2503271	46(1):2503271	NOUN
ap-10062	311	7	,	,	PUNCT
ap-10062	311	8	2025	2025	NUM
ap-10062	311	9	.	.	PUNCT
ap-10062	312	1	https://doi.org/10.1080/01430750.2025.2503271	https://doi.org/10.1080/01430750.2025.2503271	NOUN
ap-10062	313	1	[	[	X
ap-10062	313	2	8	8	NUM
ap-10062	313	3	]	]	PUNCT
ap-10062	313	4	p.	p.	NOUN
ap-10062	313	5	v.	v.	PROPN
ap-10062	313	6	s.	s.	PROPN
ap-10062	313	7	n.	n.	PROPN
ap-10062	313	8	murthy	murthy	PROPN
ap-10062	313	9	,	,	PUNCT
ap-10062	313	10	m.	m.	PROPN
ap-10062	313	11	f.	f.	PROPN
ap-10062	313	12	el	el	PROPN
ap-10062	313	13	-	-	PROPN
ap-10062	313	14	amin	amin	PROPN
ap-10062	313	15	.	.	PUNCT
ap-10062	313	16	thermo	thermo	NOUN
ap-10062	313	17	-	-	PUNCT
ap-10062	313	18	diffusion	diffusion	NOUN
ap-10062	313	19	effect	effect	NOUN
ap-10062	313	20	on	on	ADP
ap-10062	313	21	free	free	ADJ
ap-10062	313	22	convection	convection	NOUN
ap-10062	313	23	heat	heat	NOUN
ap-10062	313	24	and	and	CCONJ
ap-10062	313	25	mass	mass	NOUN
ap-10062	313	26	transfer	transfer	NOUN
ap-10062	313	27	in	in	ADP
ap-10062	313	28	a	a	DET
ap-10062	313	29	thermally	thermally	ADV
ap-10062	313	30	linearly	linearly	ADV
ap-10062	313	31	stratified	stratified	ADJ
ap-10062	313	32	non	non	ADJ
ap-10062	313	33	-	-	ADJ
ap-10062	313	34	darcy	darcy	ADJ
ap-10062	313	35	porous	porous	ADJ
ap-10062	313	36	media	medium	NOUN
ap-10062	313	37	.	.	PUNCT
ap-10062	314	1	the	the	DET
ap-10062	314	2	open	open	ADJ
ap-10062	314	3	transport	transport	NOUN
ap-10062	314	4	phenomena	phenomena	PROPN
ap-10062	314	5	journal	journal	PROPN
ap-10062	314	6	3:49–55	3:49–55	NUM
ap-10062	314	7	,	,	PUNCT
ap-10062	314	8	2011	2011	NUM
ap-10062	314	9	.	.	PUNCT
ap-10062	315	1	https://doi.org/10.2174/1877729501103010049	https://doi.org/10.2174/1877729501103010049	PRON
ap-10062	316	1	[	[	X
ap-10062	316	2	9	9	NUM
ap-10062	316	3	]	]	PUNCT
ap-10062	316	4	s.	s.	PROPN
ap-10062	316	5	rashidi	rashidi	PROPN
ap-10062	316	6	,	,	PUNCT
ap-10062	316	7	m.	m.	NOUN
ap-10062	316	8	akbarzadeh	akbarzadeh	PROPN
ap-10062	316	9	,	,	PUNCT
ap-10062	316	10	r.	r.	PROPN
ap-10062	316	11	masoodi	masoodi	PROPN
ap-10062	316	12	,	,	PUNCT
ap-10062	316	13	e.	e.	PROPN
ap-10062	316	14	m.	m.	PROPN
ap-10062	316	15	languri	languri	PROPN
ap-10062	316	16	.	.	PUNCT
ap-10062	317	1	thermal	thermal	ADJ
ap-10062	317	2	-	-	PUNCT
ap-10062	317	3	hydraulic	hydraulic	NOUN
ap-10062	317	4	and	and	CCONJ
ap-10062	317	5	entropy	entropy	NOUN
ap-10062	317	6	generation	generation	NOUN
ap-10062	317	7	analysis	analysis	NOUN
ap-10062	317	8	for	for	ADP
ap-10062	317	9	turbulent	turbulent	ADJ
ap-10062	317	10	flow	flow	NOUN
ap-10062	317	11	inside	inside	ADP
ap-10062	317	12	a	a	DET
ap-10062	317	13	corrugated	corrugate	VERB
ap-10062	317	14	channel	channel	NOUN
ap-10062	317	15	.	.	PUNCT
ap-10062	318	1	international	international	ADJ
ap-10062	318	2	journal	journal	PROPN
ap-10062	318	3	of	of	ADP
ap-10062	318	4	heat	heat	NOUN
ap-10062	318	5	and	and	CCONJ
ap-10062	318	6	mass	mass	NOUN
ap-10062	318	7	transfer	transfer	NOUN
ap-10062	318	8	109:812–823	109:812–823	NUM
ap-10062	318	9	,	,	PUNCT
ap-10062	318	10	2017	2017	NUM
ap-10062	318	11	.	.	PUNCT
ap-10062	319	1	https://doi	https://doi	X
ap-10062	319	2	.	.	PUNCT
ap-10062	320	1	org/10.1016	org/10.1016	PROPN
ap-10062	320	2	/	/	SYM
ap-10062	320	3	j.ijheatmasstransfer.2017.02.033	j.ijheatmasstransfer.2017.02.033	PROPN
ap-10062	320	4	[	[	X
ap-10062	320	5	10	10	NUM
ap-10062	320	6	]	]	PUNCT
ap-10062	320	7	s.	s.	PROPN
ap-10062	320	8	rashidi	rashidi	PROPN
ap-10062	320	9	,	,	PUNCT
ap-10062	320	10	m.	m.	NOUN
ap-10062	320	11	eskandarian	eskandarian	NOUN
ap-10062	320	12	,	,	PUNCT
ap-10062	320	13	o.	o.	PROPN
ap-10062	320	14	mahian	mahian	PROPN
ap-10062	320	15	,	,	PUNCT
ap-10062	320	16	s.	s.	PROPN
ap-10062	320	17	poncet	poncet	PROPN
ap-10062	320	18	.	.	PUNCT
ap-10062	321	1	combination	combination	NOUN
ap-10062	321	2	of	of	ADP
ap-10062	321	3	nanofluid	nanofluid	NOUN
ap-10062	321	4	and	and	CCONJ
ap-10062	321	5	inserts	insert	NOUN
ap-10062	321	6	for	for	ADP
ap-10062	321	7	heat	heat	NOUN
ap-10062	321	8	transfer	transfer	NOUN
ap-10062	321	9	enhancement	enhancement	NOUN
ap-10062	321	10	.	.	PUNCT
ap-10062	322	1	journal	journal	NOUN
ap-10062	322	2	of	of	ADP
ap-10062	322	3	thermal	thermal	ADJ
ap-10062	322	4	analysis	analysis	NOUN
ap-10062	322	5	and	and	CCONJ
ap-10062	322	6	calorimetry	calorimetry	NOUN
ap-10062	322	7	135(1):437–460	135(1):437–460	NUM
ap-10062	322	8	,	,	PUNCT
ap-10062	322	9	2019	2019	NUM
ap-10062	322	10	.	.	PUNCT
ap-10062	323	1	https://doi.org/10.1007/s10973-018-7070-9	https://doi.org/10.1007/s10973-018-7070-9	NUM
ap-10062	324	1	[	[	X
ap-10062	324	2	11	11	NUM
ap-10062	324	3	]	]	X
ap-10062	324	4	r.	r.	PROPN
ap-10062	324	5	roslan	roslan	PROPN
ap-10062	324	6	,	,	PUNCT
ap-10062	324	7	h.	h.	PROPN
ap-10062	324	8	saleh	saleh	PROPN
ap-10062	324	9	,	,	PUNCT
ap-10062	324	10	i.	i.	PROPN
ap-10062	324	11	hashim	hashim	PROPN
ap-10062	324	12	.	.	PUNCT
ap-10062	325	1	buoyancy	buoyancy	NOUN
ap-10062	325	2	-	-	PUNCT
ap-10062	325	3	driven	drive	VERB
ap-10062	325	4	heat	heat	NOUN
ap-10062	325	5	transfer	transfer	NOUN
ap-10062	325	6	in	in	ADP
ap-10062	325	7	nanofluid	nanofluid	NOUN
ap-10062	325	8	-	-	PUNCT
ap-10062	325	9	filled	fill	VERB
ap-10062	325	10	trapezoidal	trapezoidal	ADJ
ap-10062	325	11	enclosure	enclosure	NOUN
ap-10062	325	12	with	with	ADP
ap-10062	325	13	variable	variable	ADJ
ap-10062	325	14	thermal	thermal	ADJ
ap-10062	325	15	conductivity	conductivity	NOUN
ap-10062	325	16	and	and	CCONJ
ap-10062	325	17	viscosity	viscosity	NOUN
ap-10062	325	18	.	.	PUNCT
ap-10062	326	1	numerical	numerical	ADJ
ap-10062	326	2	heat	heat	NOUN
ap-10062	326	3	transfer	transfer	NOUN
ap-10062	326	4	,	,	PUNCT
ap-10062	326	5	part	part	NOUN
ap-10062	326	6	a	a	DET
ap-10062	326	7	:	:	PUNCT
ap-10062	326	8	applications	application	NOUN
ap-10062	326	9	60(10):867–882	60(10):867–882	NUM
ap-10062	326	10	,	,	PUNCT
ap-10062	326	11	2011	2011	NUM
ap-10062	326	12	.	.	PUNCT
ap-10062	327	1	https://doi.org/10.1080/10407782.2011.616778	https://doi.org/10.1080/10407782.2011.616778	PUNCT
ap-10062	328	1	[	[	X
ap-10062	328	2	12	12	NUM
ap-10062	328	3	]	]	X
ap-10062	328	4	e.	e.	PROPN
ap-10062	328	5	sadeghinezhad	sadeghinezhad	PROPN
ap-10062	328	6	,	,	PUNCT
ap-10062	328	7	h.	h.	PROPN
ap-10062	328	8	togun	togun	PROPN
ap-10062	328	9	,	,	PUNCT
ap-10062	328	10	m.	m.	NOUN
ap-10062	328	11	mehrali	mehrali	PROPN
ap-10062	328	12	,	,	PUNCT
ap-10062	328	13	et	et	PROPN
ap-10062	328	14	al	al	PROPN
ap-10062	328	15	.	.	PUNCT
ap-10062	329	1	an	an	DET
ap-10062	329	2	experimental	experimental	ADJ
ap-10062	329	3	and	and	CCONJ
ap-10062	329	4	numerical	numerical	ADJ
ap-10062	329	5	investigation	investigation	NOUN
ap-10062	329	6	of	of	ADP
ap-10062	329	7	heat	heat	NOUN
ap-10062	329	8	transfer	transfer	NOUN
ap-10062	329	9	enhancement	enhancement	NOUN
ap-10062	329	10	for	for	ADP
ap-10062	329	11	graphene	graphene	ADJ
ap-10062	329	12	nanoplatelets	nanoplatelet	NOUN
ap-10062	329	13	nanofluids	nanofluid	NOUN
ap-10062	329	14	in	in	ADP
ap-10062	329	15	turbulent	turbulent	ADJ
ap-10062	329	16	flow	flow	NOUN
ap-10062	329	17	conditions	condition	NOUN
ap-10062	329	18	.	.	PUNCT
ap-10062	330	1	international	international	ADJ
ap-10062	330	2	journal	journal	PROPN
ap-10062	330	3	of	of	ADP
ap-10062	330	4	heat	heat	NOUN
ap-10062	330	5	and	and	CCONJ
ap-10062	330	6	mass	mass	NOUN
ap-10062	330	7	transfer	transfer	NOUN
ap-10062	330	8	81:41–51	81:41–51	NUM
ap-10062	330	9	,	,	PUNCT
ap-10062	330	10	2015	2015	NUM
ap-10062	330	11	.	.	PUNCT
ap-10062	331	1	https://doi.org/	https://doi.org/	VERB
ap-10062	331	2	10.1016	10.1016	NUM
ap-10062	331	3	/	/	SYM
ap-10062	331	4	j.ijheatmasstransfer.2014.10.006	j.ijheatmasstransfer.2014.10.006	NOUN
ap-10062	331	5	[	[	X
ap-10062	331	6	13	13	NUM
ap-10062	331	7	]	]	X
ap-10062	331	8	r.	r.	PROPN
ap-10062	331	9	sadri	sadri	PROPN
ap-10062	331	10	,	,	PUNCT
ap-10062	331	11	g.	g.	PROPN
ap-10062	331	12	ahmadi	ahmadi	PROPN
ap-10062	331	13	,	,	PUNCT
ap-10062	331	14	h.	h.	PROPN
ap-10062	331	15	togun	togun	PROPN
ap-10062	331	16	,	,	PUNCT
ap-10062	331	17	et	et	PROPN
ap-10062	331	18	al	al	PROPN
ap-10062	331	19	.	.	PUNCT
ap-10062	332	1	an	an	DET
ap-10062	332	2	experimental	experimental	ADJ
ap-10062	332	3	study	study	NOUN
ap-10062	332	4	on	on	ADP
ap-10062	332	5	thermal	thermal	ADJ
ap-10062	332	6	conductivity	conductivity	NOUN
ap-10062	332	7	and	and	CCONJ
ap-10062	332	8	viscosity	viscosity	NOUN
ap-10062	332	9	of	of	ADP
ap-10062	332	10	nanofluids	nanofluid	NOUN
ap-10062	332	11	containing	contain	VERB
ap-10062	332	12	carbon	carbon	NOUN
ap-10062	332	13	nanotubes	nanotube	NOUN
ap-10062	332	14	.	.	PUNCT
ap-10062	333	1	nanoscale	nanoscale	NOUN
ap-10062	333	2	research	research	NOUN
ap-10062	333	3	letters	letter	NOUN
ap-10062	333	4	9(1):151	9(1):151	NUM
ap-10062	333	5	,	,	PUNCT
ap-10062	333	6	2014	2014	NUM
ap-10062	333	7	.	.	PUNCT
ap-10062	334	1	https://doi.org/10.1186/1556-276x-9-151	https://doi.org/10.1186/1556-276x-9-151	NOUN
ap-10062	334	2	[	[	X
ap-10062	334	3	14	14	NUM
ap-10062	334	4	]	]	X
ap-10062	334	5	f.	f.	PROPN
ap-10062	334	6	selimefendigil	selimefendigil	PROPN
ap-10062	334	7	,	,	PUNCT
ap-10062	334	8	h.	h.	PROPN
ap-10062	334	9	f.	f.	PROPN
ap-10062	334	10	öztop	öztop	PROPN
ap-10062	334	11	,	,	PUNCT
ap-10062	334	12	a.	a.	PROPN
ap-10062	334	13	j.	j.	PROPN
ap-10062	334	14	chamkha	chamkha	PROPN
ap-10062	334	15	.	.	PUNCT
ap-10062	335	1	mhd	mhd	PROPN
ap-10062	335	2	mixed	mix	VERB
ap-10062	335	3	convection	convection	NOUN
ap-10062	335	4	and	and	CCONJ
ap-10062	335	5	entropy	entropy	NOUN
ap-10062	335	6	generation	generation	NOUN
ap-10062	335	7	of	of	ADP
ap-10062	335	8	nanofluid	nanofluid	ADJ
ap-10062	335	9	filled	fill	VERB
ap-10062	335	10	lid	lid	NOUN
ap-10062	335	11	driven	drive	VERB
ap-10062	335	12	cavity	cavity	NOUN
ap-10062	335	13	under	under	ADP
ap-10062	335	14	the	the	DET
ap-10062	335	15	influence	influence	NOUN
ap-10062	335	16	of	of	ADP
ap-10062	335	17	inclined	inclined	ADJ
ap-10062	335	18	magnetic	magnetic	ADJ
ap-10062	335	19	fields	field	NOUN
ap-10062	335	20	imposed	impose	VERB
ap-10062	335	21	to	to	ADP
ap-10062	335	22	its	its	PRON
ap-10062	335	23	upper	upper	ADJ
ap-10062	335	24	and	and	CCONJ
ap-10062	335	25	lower	low	ADJ
ap-10062	335	26	diagonal	diagonal	ADJ
ap-10062	335	27	triangular	triangular	NOUN
ap-10062	335	28	domains	domain	NOUN
ap-10062	335	29	.	.	PUNCT
ap-10062	336	1	journal	journal	PROPN
ap-10062	336	2	of	of	ADP
ap-10062	336	3	magnetism	magnetism	NOUN
ap-10062	336	4	and	and	CCONJ
ap-10062	336	5	magnetic	magnetic	ADJ
ap-10062	336	6	materials	material	NOUN
ap-10062	336	7	406:266–281	406:266–281	NUM
ap-10062	336	8	,	,	PUNCT
ap-10062	336	9	2016	2016	NUM
ap-10062	336	10	.	.	PUNCT
ap-10062	337	1	https://doi.org/10.1016/j.jmmm.2016.01.039	https://doi.org/10.1016/j.jmmm.2016.01.039	NOUN
ap-10062	338	1	[	[	X
ap-10062	338	2	15	15	NUM
ap-10062	338	3	]	]	X
ap-10062	338	4	s.	s.	PROPN
ap-10062	338	5	vafaei	vafaei	PROPN
ap-10062	338	6	,	,	PUNCT
ap-10062	338	7	t.	t.	PROPN
ap-10062	338	8	borca	borca	PROPN
ap-10062	338	9	-	-	PUNCT
ap-10062	338	10	tasciuc	tasciuc	NOUN
ap-10062	338	11	,	,	PUNCT
ap-10062	338	12	d.	d.	PROPN
ap-10062	338	13	wen	wen	PROPN
ap-10062	338	14	.	.	PUNCT
ap-10062	339	1	theoretical	theoretical	ADJ
ap-10062	339	2	and	and	CCONJ
ap-10062	339	3	experimental	experimental	ADJ
ap-10062	339	4	investigation	investigation	NOUN
ap-10062	339	5	of	of	ADP
ap-10062	339	6	quasi	quasi	ADJ
ap-10062	339	7	-	-	ADJ
ap-10062	339	8	steady	steady	ADJ
ap-10062	339	9	-	-	PUNCT
ap-10062	339	10	state	state	NOUN
ap-10062	339	11	bubble	bubble	NOUN
ap-10062	339	12	growth	growth	NOUN
ap-10062	339	13	on	on	ADP
ap-10062	339	14	top	top	NOUN
ap-10062	339	15	of	of	ADP
ap-10062	339	16	submerged	submerged	ADJ
ap-10062	339	17	stainless	stainless	ADJ
ap-10062	339	18	steel	steel	NOUN
ap-10062	339	19	nozzles	nozzle	NOUN
ap-10062	339	20	.	.	PUNCT
ap-10062	340	1	colloids	colloid	NOUN
ap-10062	340	2	and	and	CCONJ
ap-10062	340	3	surfaces	surface	NOUN
ap-10062	340	4	a	a	DET
ap-10062	340	5	:	:	PUNCT
ap-10062	340	6	physicochemical	physicochemical	ADJ
ap-10062	340	7	and	and	CCONJ
ap-10062	340	8	engineering	engineering	NOUN
ap-10062	340	9	aspects	aspect	NOUN
ap-10062	340	10	369(1–3):11–19	369(1–3):11–19	NUM
ap-10062	340	11	,	,	PUNCT
ap-10062	340	12	2010	2010	NUM
ap-10062	340	13	.	.	PUNCT
ap-10062	341	1	https://doi.org/10.1016/j.colsurfa.2010.07.009	https://doi.org/10.1016/j.colsurfa.2010.07.009	NOUN
ap-10062	341	2	[	[	X
ap-10062	341	3	16	16	NUM
ap-10062	341	4	]	]	PUNCT
ap-10062	341	5	x.	x.	NOUN
ap-10062	341	6	xu	xu	PROPN
ap-10062	341	7	,	,	PUNCT
ap-10062	341	8	c.	c.	PROPN
ap-10062	341	9	guan	guan	PROPN
ap-10062	341	10	,	,	PUNCT
ap-10062	341	11	l.	l.	PROPN
ap-10062	341	12	xu	xu	PROPN
ap-10062	341	13	,	,	PUNCT
ap-10062	341	14	et	et	PROPN
ap-10062	341	15	al	al	PROPN
ap-10062	341	16	.	.	PROPN
ap-10062	342	1	three	three	NUM
ap-10062	342	2	dimensionally	dimensionally	ADV
ap-10062	342	3	free	free	ADJ
ap-10062	342	4	-	-	PUNCT
ap-10062	342	5	formable	formable	ADJ
ap-10062	342	6	graphene	graphene	NOUN
ap-10062	342	7	foam	foam	NOUN
ap-10062	342	8	with	with	ADP
ap-10062	342	9	designed	design	VERB
ap-10062	342	10	structures	structure	NOUN
ap-10062	342	11	for	for	ADP
ap-10062	342	12	energy	energy	NOUN
ap-10062	342	13	and	and	CCONJ
ap-10062	342	14	environmental	environmental	ADJ
ap-10062	342	15	applications	application	NOUN
ap-10062	342	16	.	.	PUNCT
ap-10062	343	1	acs	acs	PROPN
ap-10062	343	2	nano	nano	PROPN
ap-10062	343	3	14(1):937–947	14(1):937–947	NUM
ap-10062	343	4	,	,	PUNCT
ap-10062	343	5	2020	2020	NUM
ap-10062	343	6	.	.	PUNCT
ap-10062	344	1	https://doi.org/10.1021/acsnano.9b08191	https://doi.org/10.1021/acsnano.9b08191	NOUN
ap-10062	345	1	[	[	X
ap-10062	345	2	17	17	NUM
ap-10062	345	3	]	]	PUNCT
ap-10062	345	4	x.	x.	PROPN
ap-10062	345	5	zhang	zhang	PROPN
ap-10062	345	6	,	,	PUNCT
ap-10062	345	7	g.	g.	PROPN
ap-10062	345	8	ahmadi	ahmadi	PROPN
ap-10062	345	9	.	.	PUNCT
ap-10062	346	1	numerical	numerical	ADJ
ap-10062	346	2	simulations	simulation	NOUN
ap-10062	346	3	of	of	ADP
ap-10062	346	4	gasliquid	gasliquid	NOUN
ap-10062	346	5	-	-	PUNCT
ap-10062	346	6	particle	particle	NOUN
ap-10062	346	7	flows	flow	NOUN
ap-10062	346	8	in	in	ADP
ap-10062	346	9	three	three	NUM
ap-10062	346	10	-	-	PUNCT
ap-10062	346	11	phase	phase	NOUN
ap-10062	346	12	slurry	slurry	NOUN
ap-10062	346	13	reactors	reactor	NOUN
ap-10062	346	14	under	under	ADP
ap-10062	346	15	gravity	gravity	NOUN
ap-10062	346	16	variation	variation	NOUN
ap-10062	346	17	.	.	PUNCT
ap-10062	347	1	scientia	scientia	PROPN
ap-10062	347	2	iranica	iranica	PROPN
ap-10062	348	1	b	b	PROPN
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ap-10062	348	3	,	,	PUNCT
ap-10062	348	4	2018	2018	NUM
ap-10062	348	5	.	.	PUNCT
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ap-10062	350	1	[	[	X
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ap-10062	350	3	]	]	PUNCT
ap-10062	350	4	x.	x.	PROPN
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ap-10062	351	4	liquid	liquid	NOUN
ap-10062	351	5	-	-	PUNCT
ap-10062	351	6	gas	gas	NOUN
ap-10062	351	7	-	-	PUNCT
ap-10062	351	8	solid	solid	ADJ
ap-10062	351	9	three	three	NUM
ap-10062	351	10	-	-	PUNCT
ap-10062	351	11	phase	phase	NOUN
ap-10062	351	12	flows	flow	NOUN
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ap-10062	352	8	,	,	PUNCT
ap-10062	352	9	2012	2012	NUM
ap-10062	352	10	.	.	PUNCT
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ap-10062	353	10	.	.	PUNCT
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ap-10062	354	13	a	a	DET
ap-10062	354	14	semi	semi	ADJ
ap-10062	354	15	-	-	ADJ
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ap-10062	354	17	vertical	vertical	ADJ
ap-10062	354	18	porous	porous	ADJ
ap-10062	354	19	plate	plate	NOUN
ap-10062	354	20	via	via	ADP
ap-10062	354	21	finite	finite	ADJ
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ap-10062	354	24	.	.	PUNCT
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ap-10062	355	2	journal	journal	NOUN
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ap-10062	355	9	,	,	PUNCT
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ap-10062	355	11	.	.	PUNCT
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ap-10062	357	1	[	[	X
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ap-10062	357	6	n.	n.	PROPN
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ap-10062	357	9	a.	a.	PROPN
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ap-10062	358	6	unsteady	unsteady	ADJ
ap-10062	358	7	hydromagnetic	hydromagnetic	ADJ
ap-10062	358	8	free	free	ADJ
ap-10062	358	9	convective	convective	ADJ
ap-10062	358	10	fluid	fluid	NOUN
ap-10062	358	11	flow	flow	NOUN
ap-10062	358	12	past	past	ADP
ap-10062	358	13	an	an	DET
ap-10062	358	14	infinite	infinite	ADJ
ap-10062	358	15	vertical	vertical	ADJ
ap-10062	358	16	porous	porous	ADJ
ap-10062	358	17	plate	plate	NOUN
ap-10062	358	18	in	in	ADP
ap-10062	358	19	the	the	DET
ap-10062	358	20	presence	presence	NOUN
ap-10062	358	21	of	of	ADP
ap-10062	358	22	chemical	chemical	ADJ
ap-10062	358	23	reaction	reaction	NOUN
ap-10062	358	24	.	.	PUNCT
ap-10062	359	1	journal	journal	NOUN
ap-10062	359	2	of	of	ADP
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ap-10062	359	5	arts	art	NOUN
ap-10062	359	6	15(1):99–111	15(1):99–111	NUM
ap-10062	359	7	,	,	PUNCT
ap-10062	359	8	2015	2015	NUM
ap-10062	359	9	.	.	PUNCT
ap-10062	360	1	[	[	X
ap-10062	360	2	21	21	NUM
ap-10062	360	3	]	]	X
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ap-10062	360	6	,	,	PUNCT
ap-10062	360	7	a.	a.	NOUN
ap-10062	360	8	paul	paul	PROPN
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ap-10062	360	12	n.	n.	PROPN
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ap-10062	360	14	.	.	PUNCT
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ap-10062	361	2	and	and	CCONJ
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ap-10062	361	7	an	an	DET
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ap-10062	361	9	hydromagnetic	hydromagnetic	ADJ
ap-10062	361	10	free	free	ADJ
ap-10062	361	11	convective	convective	ADJ
ap-10062	361	12	flow	flow	NOUN
ap-10062	361	13	over	over	ADP
ap-10062	361	14	an	an	DET
ap-10062	361	15	infinite	infinite	ADJ
ap-10062	361	16	vertical	vertical	ADJ
ap-10062	361	17	plate	plate	NOUN
ap-10062	361	18	embedded	embed	VERB
ap-10062	361	19	in	in	ADP
ap-10062	361	20	a	a	DET
ap-10062	361	21	porous	porous	ADJ
ap-10062	361	22	medium	medium	NOUN
ap-10062	361	23	with	with	ADP
ap-10062	361	24	heat	heat	NOUN
ap-10062	361	25	absorption	absorption	NOUN
ap-10062	361	26	.	.	PUNCT
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ap-10062	362	2	journal	journal	NOUN
ap-10062	362	3	of	of	ADP
ap-10062	362	4	open	open	ADJ
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ap-10062	362	6	in	in	ADP
ap-10062	362	7	computer	computer	NOUN
ap-10062	362	8	science	science	NOUN
ap-10062	362	9	and	and	CCONJ
ap-10062	362	10	mathematics	mathematic	NOUN
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ap-10062	362	12	,	,	PUNCT
ap-10062	362	13	2015	2015	NUM
ap-10062	362	14	.	.	PUNCT
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ap-10062	363	7	s.	s.	PROPN
ap-10062	363	8	sheri	sheri	PROPN
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ap-10062	363	10	a.	a.	NOUN
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ap-10062	363	13	m.	m.	PROPN
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ap-10062	364	4	an	an	DET
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ap-10062	364	10	a	a	DET
ap-10062	364	11	semi	semi	ADJ
ap-10062	364	12	-	-	ADJ
ap-10062	364	13	infinite	infinite	ADJ
ap-10062	364	14	vertical	vertical	ADJ
ap-10062	364	15	permeable	permeable	ADJ
ap-10062	364	16	moving	move	VERB
ap-10062	364	17	plate	plate	NOUN
ap-10062	364	18	embedded	embed	VERB
ap-10062	364	19	in	in	ADP
ap-10062	364	20	a	a	DET
ap-10062	364	21	porous	porous	ADJ
ap-10062	364	22	medium	medium	NOUN
ap-10062	364	23	with	with	ADP
ap-10062	364	24	viscous	viscous	ADJ
ap-10062	364	25	dissipation	dissipation	NOUN
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ap-10062	365	2	journal	journal	NOUN
ap-10062	365	3	of	of	ADP
ap-10062	365	4	science	science	NOUN
ap-10062	365	5	and	and	CCONJ
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ap-10062	365	7	(	(	PUNCT
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ap-10062	365	9	)	)	PUNCT
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ap-10062	366	7	n.	n.	NOUN
ap-10062	366	8	v.	v.	ADP
ap-10062	366	9	n.	n.	PROPN
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ap-10062	367	7	to	to	ADP
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ap-10062	367	10	with	with	ADP
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ap-10062	367	12	fluid	fluid	ADJ
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ap-10062	368	9	.	.	PUNCT
ap-10062	369	1	https	https	NOUN
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ap-10062	373	12	.	.	PUNCT
ap-10062	374	1	[	[	X
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ap-10062	402	11	.	.	PUNCT
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