id	sid	tid	token	lemma	pos
cana-1518	1	1	communications	communication	NOUN
cana-1518	1	2	on	on	ADP
cana-1518	1	3	applied	apply	VERB
cana-1518	1	4	nonlinear	nonlinear	ADJ
cana-1518	1	5	analysis	analysis	NOUN
cana-1518	1	6	issn	issn	NOUN
cana-1518	1	7	:	:	PUNCT
cana-1518	1	8	1074	1074	NUM
cana-1518	1	9	-	-	PUNCT
cana-1518	1	10	133x	133x	NUM
cana-1518	1	11	vol	vol	NOUN
cana-1518	1	12	31	31	NUM
cana-1518	1	13	no	no	NOUN
cana-1518	1	14	.	.	PUNCT
cana-1518	2	1	8s	8s	PROPN
cana-1518	2	2	(	(	PUNCT
cana-1518	2	3	2024	2024	NUM
cana-1518	2	4	)	)	PUNCT
cana-1518	2	5	376	376	NUM
cana-1518	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	2	7	heat	heat	NOUN
cana-1518	2	8	and	and	CCONJ
cana-1518	2	9	mass	mass	NOUN
cana-1518	2	10	transfer	transfer	NOUN
cana-1518	2	11	in	in	ADP
cana-1518	2	12	mhd	mhd	NOUN
cana-1518	2	13	flow	flow	NOUN
cana-1518	2	14	of	of	ADP
cana-1518	2	15	a	a	DET
cana-1518	2	16	nanofluid	nanofluid	NOUN
cana-1518	2	17	through	through	ADP
cana-1518	2	18	a	a	DET
cana-1518	2	19	porous	porous	ADJ
cana-1518	2	20	medium	medium	NOUN
cana-1518	2	21	over	over	ADP
cana-1518	2	22	a	a	DET
cana-1518	2	23	stretching	stretch	VERB
cana-1518	2	24	sheet	sheet	NOUN
cana-1518	2	25	with	with	ADP
cana-1518	2	26	chemical	chemical	ADJ
cana-1518	2	27	reaction	reaction	NOUN
cana-1518	2	28	arick	arick	PROPN
cana-1518	2	29	m.	m.	PROPN
cana-1518	2	30	lakhani1	lakhani1	PROPN
cana-1518	2	31	,	,	PUNCT
cana-1518	2	32	vinod	vinod	PROPN
cana-1518	2	33	kumar2	kumar2	PROPN
cana-1518	2	34	,	,	PUNCT
cana-1518	2	35	bonasi	bonasi	PROPN
cana-1518	2	36	krishna	krishna	PROPN
cana-1518	2	37	srihari3	srihari3	PROPN
cana-1518	2	38	,	,	PUNCT
cana-1518	2	39	chepiala	chepiala	PROPN
cana-1518	2	40	pushpalata4	pushpalata4	PROPN
cana-1518	2	41	,	,	PUNCT
cana-1518	2	42	dr	dr	PROPN
cana-1518	2	43	.	.	PROPN
cana-1518	2	44	umme	umme	PROPN
cana-1518	2	45	thayyiba	thayyiba	PROPN
cana-1518	2	46	khatoon5	khatoon5	PROPN
cana-1518	2	47	,	,	PUNCT
cana-1518	2	48	dr	dr	PROPN
cana-1518	2	49	.	.	PROPN
cana-1518	2	50	pradeep	pradeep	PROPN
cana-1518	2	51	kumar	kumar	PROPN
cana-1518	2	52	tripathy6	tripathy6	PROPN
cana-1518	2	53	1assistant	1assistant	PROPN
cana-1518	2	54	professor	professor	NOUN
cana-1518	2	55	,	,	PUNCT
cana-1518	2	56	mechanical	mechanical	ADJ
cana-1518	2	57	engineering	engineering	NOUN
cana-1518	2	58	,	,	PUNCT
cana-1518	2	59	power	power	NOUN
cana-1518	2	60	engineering	engineering	NOUN
cana-1518	2	61	and	and	CCONJ
cana-1518	2	62	research	research	NOUN
cana-1518	2	63	institute	institute	PROPN
cana-1518	2	64	,	,	PUNCT
cana-1518	2	65	arick.lakhani@gmail.com	arick.lakhani@gmail.com	PROPN
cana-1518	2	66	2department	2department	NUM
cana-1518	2	67	of	of	ADP
cana-1518	2	68	mathematics	mathematic	NOUN
cana-1518	2	69	,	,	PUNCT
cana-1518	2	70	karnatak	karnatak	PROPN
cana-1518	2	71	arts	arts	PROPN
cana-1518	2	72	,	,	PUNCT
cana-1518	2	73	science	science	PROPN
cana-1518	2	74	&	&	CCONJ
cana-1518	2	75	commerce	commerce	PROPN
cana-1518	2	76	college	college	PROPN
cana-1518	2	77	,	,	PUNCT
cana-1518	2	78	kalekarvinodk6@gmail.com	kalekarvinodk6@gmail.com	PROPN
cana-1518	2	79	3assistant	3assistant	NUM
cana-1518	2	80	professor	professor	NOUN
cana-1518	2	81	,	,	PUNCT
cana-1518	2	82	chemical	chemical	NOUN
cana-1518	2	83	engineering	engineering	NOUN
cana-1518	2	84	,	,	PUNCT
cana-1518	2	85	national	national	PROPN
cana-1518	2	86	institute	institute	PROPN
cana-1518	2	87	of	of	ADP
cana-1518	2	88	technology	technology	PROPN
cana-1518	2	89	srinagar	srinagar	NOUN
cana-1518	2	90	,	,	PUNCT
cana-1518	2	91	sriharibonasi@gmail.com	sriharibonasi@gmail.com	PROPN
cana-1518	2	92	4degree	4degree	NUM
cana-1518	2	93	lecturer	lecturer	NOUN
cana-1518	2	94	,	,	PUNCT
cana-1518	2	95	telangana	telangana	PROPN
cana-1518	2	96	social	social	ADJ
cana-1518	2	97	welfare	welfare	NOUN
cana-1518	2	98	residential	residential	ADJ
cana-1518	2	99	degree	degree	NOUN
cana-1518	2	100	college	college	NOUN
cana-1518	2	101	for	for	ADP
cana-1518	2	102	women	woman	NOUN
cana-1518	2	103	,	,	PUNCT
cana-1518	2	104	ch.pushpalatha14@yahoo.com	ch.pushpalatha14@yahoo.com	NOUN
cana-1518	2	105	5lecturer	5lecturer	NUM
cana-1518	2	106	,	,	PUNCT
cana-1518	2	107	business	business	NOUN
cana-1518	2	108	administration	administration	PROPN
cana-1518	2	109	,	,	PUNCT
cana-1518	2	110	jazan	jazan	PROPN
cana-1518	2	111	university	university	PROPN
cana-1518	2	112	,	,	PUNCT
cana-1518	2	113	ukhatoon@jazanu.edu.sa	ukhatoon@jazanu.edu.sa	PROPN
cana-1518	2	114	6lecturer	6lecturer	NUM
cana-1518	2	115	,	,	PUNCT
cana-1518	2	116	utkal	utkal	PROPN
cana-1518	2	117	gourav	gourav	PROPN
cana-1518	2	118	madhusudan	madhusudan	PROPN
cana-1518	2	119	institute	institute	PROPN
cana-1518	2	120	of	of	ADP
cana-1518	2	121	technology	technology	PROPN
cana-1518	2	122	,	,	PUNCT
cana-1518	2	123	corresponding	corresponding	ADJ
cana-1518	2	124	author	author	NOUN
cana-1518	2	125	mail	mail	NOUN
cana-1518	2	126	:	:	PUNCT
cana-1518	2	127	tripathypk2@gmail.com	tripathypk2@gmail.com	X
cana-1518	2	128	article	article	NOUN
cana-1518	2	129	history	history	NOUN
cana-1518	2	130	:	:	PUNCT
cana-1518	2	131	received	receive	VERB
cana-1518	2	132	:	:	PUNCT
cana-1518	2	133	05	05	NUM
cana-1518	2	134	-	-	PUNCT
cana-1518	2	135	05	05	NUM
cana-1518	2	136	-	-	PUNCT
cana-1518	2	137	2024	2024	NUM
cana-1518	2	138	revised	revise	VERB
cana-1518	2	139	:	:	PUNCT
cana-1518	2	140	25	25	NUM
cana-1518	2	141	-	-	PUNCT
cana-1518	2	142	06	06	NUM
cana-1518	2	143	-	-	PUNCT
cana-1518	2	144	2024	2024	NUM
cana-1518	2	145	accepted	accept	VERB
cana-1518	2	146	:	:	PUNCT
cana-1518	2	147	07	07	NUM
cana-1518	2	148	-	-	PUNCT
cana-1518	2	149	07	07	NUM
cana-1518	2	150	-	-	PUNCT
cana-1518	2	151	2024	2024	NUM
cana-1518	2	152	abstract	abstract	NOUN
cana-1518	2	153	:	:	PUNCT
cana-1518	2	154	the	the	DET
cana-1518	2	155	theme	theme	NOUN
cana-1518	2	156	of	of	ADP
cana-1518	2	157	the	the	DET
cana-1518	2	158	present	present	ADJ
cana-1518	2	159	study	study	NOUN
cana-1518	2	160	is	be	AUX
cana-1518	2	161	on	on	ADP
cana-1518	2	162	convective	convective	ADJ
cana-1518	2	163	heat	heat	NOUN
cana-1518	2	164	and	and	CCONJ
cana-1518	2	165	mass	mass	NOUN
cana-1518	2	166	transfer	transfer	NOUN
cana-1518	2	167	in	in	ADP
cana-1518	2	168	porous	porous	ADJ
cana-1518	2	169	media	medium	NOUN
cana-1518	2	170	flow	flow	NOUN
cana-1518	2	171	through	through	ADP
cana-1518	2	172	nanofluid	nanofluid	PROPN
cana-1518	2	173	over	over	ADP
cana-1518	2	174	a	a	DET
cana-1518	2	175	permeable	permeable	ADJ
cana-1518	2	176	stretching	stretch	VERB
cana-1518	2	177	sheet	sheet	NOUN
cana-1518	2	178	embedded	embed	VERB
cana-1518	2	179	with	with	ADP
cana-1518	2	180	various	various	ADJ
cana-1518	2	181	factors	factor	NOUN
cana-1518	2	182	i.e.	i.e.	X
cana-1518	2	183	mhd	mhd	NOUN
cana-1518	2	184	,	,	PUNCT
cana-1518	2	185	viscous	viscous	ADJ
cana-1518	2	186	dissipation	dissipation	NOUN
cana-1518	2	187	,	,	PUNCT
cana-1518	2	188	chemical	chemical	NOUN
cana-1518	2	189	reaction	reaction	NOUN
cana-1518	2	190	and	and	CCONJ
cana-1518	2	191	soret	soret	PROPN
cana-1518	2	192	effects	effect	NOUN
cana-1518	2	193	.	.	PUNCT
cana-1518	3	1	in	in	ADP
cana-1518	3	2	this	this	DET
cana-1518	3	3	study	study	NOUN
cana-1518	3	4	,	,	PUNCT
cana-1518	3	5	the	the	DET
cana-1518	3	6	authors	author	NOUN
cana-1518	3	7	analysed	analyse	VERB
cana-1518	3	8	two	two	NUM
cana-1518	3	9	types	type	NOUN
cana-1518	3	10	of	of	ADP
cana-1518	3	11	nanofluids	nanofluid	NOUN
cana-1518	3	12	namely	namely	ADV
cana-1518	3	13	cu	cu	NOUN
cana-1518	3	14	-	-	PUNCT
cana-1518	3	15	water	water	PROPN
cana-1518	3	16	and	and	CCONJ
cana-1518	3	17	ag	ag	NOUN
cana-1518	3	18	-	-	PUNCT
cana-1518	3	19	water	water	NOUN
cana-1518	3	20	.	.	PUNCT
cana-1518	4	1	the	the	DET
cana-1518	4	2	corresponding	corresponding	ADJ
cana-1518	4	3	governing	govern	VERB
cana-1518	4	4	boundary	boundary	ADJ
cana-1518	4	5	layer	layer	NOUN
cana-1518	4	6	equations	equation	NOUN
cana-1518	4	7	were	be	AUX
cana-1518	4	8	established	establish	VERB
cana-1518	4	9	and	and	CCONJ
cana-1518	4	10	converted	convert	VERB
cana-1518	4	11	to	to	ADP
cana-1518	4	12	a	a	DET
cana-1518	4	13	system	system	NOUN
cana-1518	4	14	of	of	ADP
cana-1518	4	15	ordinary	ordinary	ADJ
cana-1518	4	16	differential	differential	ADJ
cana-1518	4	17	equation	equation	NOUN
cana-1518	4	18	by	by	ADP
cana-1518	4	19	employing	employ	VERB
cana-1518	4	20	similarity	similarity	NOUN
cana-1518	4	21	transmutations	transmutation	NOUN
cana-1518	4	22	,	,	PUNCT
cana-1518	4	23	which	which	PRON
cana-1518	4	24	was	be	AUX
cana-1518	4	25	subsequently	subsequently	ADV
cana-1518	4	26	executed	execute	VERB
cana-1518	4	27	using	use	VERB
cana-1518	4	28	the	the	DET
cana-1518	4	29	keller	keller	PROPN
cana-1518	4	30	box	box	PROPN
cana-1518	4	31	process	process	NOUN
cana-1518	4	32	.	.	PUNCT
cana-1518	5	1	selected	select	VERB
cana-1518	5	2	parameters	parameter	NOUN
cana-1518	5	3	produce	produce	VERB
cana-1518	5	4	skin	skin	NOUN
cana-1518	5	5	friction	friction	NOUN
cana-1518	5	6	coefficient	coefficient	NOUN
cana-1518	5	7	,	,	PUNCT
cana-1518	5	8	nusselt	nusselt	NOUN
cana-1518	5	9	number	number	NOUN
cana-1518	5	10	and	and	CCONJ
cana-1518	5	11	sherwood	sherwood	NOUN
cana-1518	5	12	number	number	NOUN
cana-1518	5	13	as	as	ADV
cana-1518	5	14	well	well	ADV
cana-1518	5	15	as	as	ADP
cana-1518	5	16	velocity	velocity	NOUN
cana-1518	5	17	,	,	PUNCT
cana-1518	5	18	temperature	temperature	NOUN
cana-1518	5	19	and	and	CCONJ
cana-1518	5	20	concentration	concentration	NOUN
cana-1518	5	21	profiles	profile	NOUN
cana-1518	5	22	.	.	PUNCT
cana-1518	6	1	this	this	DET
cana-1518	6	2	lead	lead	NOUN
cana-1518	6	3	to	to	ADP
cana-1518	6	4	the	the	DET
cana-1518	6	5	excellent	excellent	ADJ
cana-1518	6	6	validation	validation	NOUN
cana-1518	6	7	of	of	ADP
cana-1518	6	8	numerical	numerical	ADJ
cana-1518	6	9	results	result	NOUN
cana-1518	6	10	compared	compare	VERB
cana-1518	6	11	with	with	ADP
cana-1518	6	12	literature	literature	NOUN
cana-1518	6	13	for	for	ADP
cana-1518	6	14	linearly	linearly	ADV
cana-1518	6	15	stretching	stretch	VERB
cana-1518	6	16	sheet	sheet	NOUN
cana-1518	6	17	problems	problem	NOUN
cana-1518	6	18	.	.	PUNCT
cana-1518	7	1	the	the	DET
cana-1518	7	2	influences	influence	NOUN
cana-1518	7	3	of	of	ADP
cana-1518	7	4	inclined	inclined	ADJ
cana-1518	7	5	magnetic	magnetic	ADJ
cana-1518	7	6	field	field	NOUN
cana-1518	7	7	on	on	ADP
cana-1518	7	8	unsteady	unsteady	ADJ
cana-1518	7	9	mhd	mhd	NOUN
cana-1518	7	10	flow	flow	NOUN
cana-1518	7	11	of	of	ADP
cana-1518	7	12	casson	casson	PROPN
cana-1518	7	13	nanofluid	nanofluid	PROPN
cana-1518	7	14	past	past	ADP
cana-1518	7	15	a	a	DET
cana-1518	7	16	stretching	stretch	VERB
cana-1518	7	17	sheet	sheet	NOUN
cana-1518	7	18	in	in	ADP
cana-1518	7	19	porous	porous	ADJ
cana-1518	7	20	medium	medium	NOUN
cana-1518	7	21	with	with	ADP
cana-1518	7	22	heat	heat	NOUN
cana-1518	7	23	source	source	NOUN
cana-1518	7	24	/	/	SYM
cana-1518	7	25	sink	sink	NOUN
cana-1518	7	26	and	and	CCONJ
cana-1518	7	27	thermal	thermal	ADJ
cana-1518	7	28	radiation	radiation	NOUN
cana-1518	7	29	effects	effect	NOUN
cana-1518	7	30	were	be	AUX
cana-1518	7	31	analyzed	analyze	VERB
cana-1518	7	32	[	[	X
cana-1518	7	33	43	43	NUM
cana-1518	7	34	]	]	PUNCT
cana-1518	7	35	.	.	PUNCT
cana-1518	8	1	the	the	DET
cana-1518	8	2	numerical	numerical	ADJ
cana-1518	8	3	solutions	solution	NOUN
cana-1518	8	4	,	,	PUNCT
cana-1518	8	5	which	which	PRON
cana-1518	8	6	were	be	AUX
cana-1518	8	7	performed	perform	VERB
cana-1518	8	8	through	through	ADP
cana-1518	8	9	runge	runge	NOUN
cana-1518	8	10	-	-	PUNCT
cana-1518	8	11	kutta	kutta	NOUN
cana-1518	8	12	method	method	NOUN
cana-1518	8	13	with	with	ADP
cana-1518	8	14	shooting	shooting	NOUN
cana-1518	8	15	technique	technique	NOUN
cana-1518	8	16	,	,	PUNCT
cana-1518	8	17	have	have	AUX
cana-1518	8	18	shown	show	VERB
cana-1518	8	19	that	that	SCONJ
cana-1518	8	20	it	it	PRON
cana-1518	8	21	is	be	AUX
cana-1518	8	22	possible	possible	ADJ
cana-1518	8	23	to	to	PART
cana-1518	8	24	control	control	VERB
cana-1518	8	25	the	the	DET
cana-1518	8	26	appearance	appearance	NOUN
cana-1518	8	27	of	of	ADP
cana-1518	8	28	inverted	inverted	ADJ
cana-1518	8	29	boundary	boundary	ADJ
cana-1518	8	30	layer	layer	NOUN
cana-1518	8	31	by	by	ADP
cana-1518	8	32	proper	proper	ADJ
cana-1518	8	33	manipulation	manipulation	NOUN
cana-1518	8	34	on	on	ADP
cana-1518	8	35	shearing	shearing	NOUN
cana-1518	8	36	effect	effect	NOUN
cana-1518	8	37	magnitude	magnitude	NOUN
cana-1518	8	38	between	between	ADP
cana-1518	8	39	plate	plate	NOUN
cana-1518	8	40	and	and	CCONJ
cana-1518	8	41	free	free	ADJ
cana-1518	8	42	stream	stream	NOUN
cana-1518	8	43	.	.	PUNCT
cana-1518	9	1	the	the	DET
cana-1518	9	2	results	result	NOUN
cana-1518	9	3	,	,	PUNCT
cana-1518	9	4	as	as	SCONJ
cana-1518	9	5	depicted	depict	VERB
cana-1518	9	6	in	in	ADP
cana-1518	9	7	table	table	NOUN
cana-1518	9	8	2	2	NUM
cana-1518	9	9	and	and	CCONJ
cana-1518	9	10	figure	figure	VERB
cana-1518	9	11	5	5	NUM
cana-1518	9	12	demonstrate	demonstrate	VERB
cana-1518	9	13	that	that	SCONJ
cana-1518	9	14	thermal	thermal	ADJ
cana-1518	9	15	diffusion	diffusion	NOUN
cana-1518	9	16	is	be	AUX
cana-1518	9	17	promoted	promote	VERB
cana-1518	9	18	by	by	ADP
cana-1518	9	19	lower	low	ADJ
cana-1518	9	20	flow	flow	NOUN
cana-1518	9	21	rates	rate	NOUN
cana-1518	9	22	due	due	ADJ
cana-1518	9	23	to	to	ADP
cana-1518	9	24	both	both	CCONJ
cana-1518	9	25	higher	high	ADJ
cana-1518	9	26	inclination	inclination	NOUN
cana-1518	9	27	angle	angle	NOUN
cana-1518	9	28	,	,	PUNCT
cana-1518	9	29	as	as	ADV
cana-1518	9	30	well	well	ADV
cana-1518	9	31	as	as	ADP
cana-1518	9	32	those	those	PRON
cana-1518	9	33	subjected	subject	VERB
cana-1518	9	34	to	to	ADP
cana-1518	9	35	more	more	ADV
cana-1518	9	36	intense	intense	ADJ
cana-1518	9	37	radiation	radiation	NOUN
cana-1518	9	38	.	.	PUNCT
cana-1518	10	1	these	these	DET
cana-1518	10	2	results	result	VERB
cana-1518	10	3	hint	hint	NOUN
cana-1518	10	4	at	at	ADP
cana-1518	10	5	possible	possible	ADJ
cana-1518	10	6	uses	use	NOUN
cana-1518	10	7	in	in	ADP
cana-1518	10	8	the	the	DET
cana-1518	10	9	thermal	thermal	ADJ
cana-1518	10	10	management	management	NOUN
cana-1518	10	11	of	of	ADP
cana-1518	10	12	biological	biological	ADJ
cana-1518	10	13	fluids	fluid	NOUN
cana-1518	10	14	.	.	PUNCT
cana-1518	11	1	in	in	ADP
cana-1518	11	2	this	this	DET
cana-1518	11	3	regard	regard	NOUN
cana-1518	11	4	,	,	PUNCT
cana-1518	11	5	the	the	DET
cana-1518	11	6	present	present	ADJ
cana-1518	11	7	study	study	NOUN
cana-1518	11	8	addresses	address	NOUN
cana-1518	11	9	heat	heat	VERB
cana-1518	11	10	and	and	CCONJ
cana-1518	11	11	mass	mass	NOUN
cana-1518	11	12	transfer	transfer	NOUN
cana-1518	11	13	in	in	ADP
cana-1518	11	14	free	free	ADJ
cana-1518	11	15	convection	convection	NOUN
cana-1518	11	16	mhd	mhd	PROPN
cana-1518	11	17	viscoelastic	viscoelastic	PROPN
cana-1518	11	18	nanofluid	nanofluid	PROPN
cana-1518	11	19	flow	flow	NOUN
cana-1518	11	20	over	over	ADP
cana-1518	11	21	a	a	DET
cana-1518	11	22	stretching	stretch	VERB
cana-1518	11	23	sheet	sheet	NOUN
cana-1518	11	24	embedded	embed	VERB
cana-1518	11	25	in	in	ADP
cana-1518	11	26	a	a	DET
cana-1518	11	27	porous	porous	ADJ
cana-1518	11	28	medium	medium	NOUN
cana-1518	11	29	with	with	ADP
cana-1518	11	30	thermal	thermal	ADJ
cana-1518	11	31	slip	slip	NOUN
cana-1518	11	32	conditions	condition	NOUN
cana-1518	11	33	(	(	PUNCT
cana-1518	11	34	reduced	reduce	VERB
cana-1518	11	35	momentum	momentum	NOUN
cana-1518	11	36	equation	equation	NOUN
cana-1518	11	37	)	)	PUNCT
cana-1518	11	38	and	and	CCONJ
cana-1518	11	39	temperature	temperature	NOUN
cana-1518	11	40	jump	jump	NOUN
cana-1518	11	41	condition	condition	NOUN
cana-1518	11	42	.	.	PUNCT
cana-1518	12	1	the	the	DET
cana-1518	12	2	variation	variation	NOUN
cana-1518	12	3	of	of	ADP
cana-1518	12	4	differents	different	NOUN
cana-1518	12	5	and	and	CCONJ
cana-1518	12	6	permeable	permeable	ADJ
cana-1518	12	7	parameters	parameter	NOUN
cana-1518	12	8	included	include	VERB
cana-1518	12	9	in	in	ADP
cana-1518	12	10	the	the	DET
cana-1518	12	11	model	model	NOUN
cana-1518	12	12	are	be	AUX
cana-1518	12	13	useful	useful	ADJ
cana-1518	12	14	to	to	PART
cana-1518	12	15	understand	understand	VERB
cana-1518	12	16	more	more	ADJ
cana-1518	12	17	for	for	ADP
cana-1518	12	18	untreated	untreated	ADJ
cana-1518	12	19	nanofluid	nanofluid	PROPN
cana-1518	12	20	that	that	SCONJ
cana-1518	12	21	an	an	DET
cana-1518	12	22	elasticity	elasticity	NOUN
cana-1518	12	23	base	base	NOUN
cana-1518	12	24	fluid	fluid	NOUN
cana-1518	12	25	because	because	SCONJ
cana-1518	12	26	a	a	DET
cana-1518	12	27	presence	presence	NOUN
cana-1518	12	28	plate	plate	NOUN
cana-1518	12	29	together	together	ADV
cana-1518	12	30	with	with	ADP
cana-1518	12	31	nanoparticles	nanoparticle	NOUN
cana-1518	12	32	provide	provide	VERB
cana-1518	12	33	reduction	reduction	NOUN
cana-1518	12	34	thermal	thermal	ADJ
cana-1518	12	35	boundary	boundary	ADJ
cana-1518	12	36	layer	layer	NOUN
cana-1518	12	37	,	,	PUNCT
cana-1518	12	38	which	which	PRON
cana-1518	12	39	lead	lead	VERB
cana-1518	12	40	lager	lager	NOUN
cana-1518	12	41	velocity	velocity	NOUN
cana-1518	12	42	fields	field	NOUN
cana-1518	12	43	.	.	PUNCT
cana-1518	13	1	moreover	moreover	ADV
cana-1518	13	2	,	,	PUNCT
cana-1518	13	3	the	the	DET
cana-1518	13	4	fluid	fluid	ADJ
cana-1518	13	5	temperature	temperature	NOUN
cana-1518	13	6	was	be	AUX
cana-1518	13	7	also	also	ADV
cana-1518	13	8	increased	increase	VERB
cana-1518	13	9	with	with	ADP
cana-1518	13	10	centrifugal	centrifugal	ADJ
cana-1518	13	11	slip	slip	NOUN
cana-1518	13	12	flow	flow	NOUN
cana-1518	13	13	combined	combine	VERB
cana-1518	13	14	brownian	brownian	ADJ
cana-1518	13	15	diffusion	diffusion	NOUN
cana-1518	13	16	and	and	CCONJ
cana-1518	13	17	thermophoresis	thermophoresis	NOUN
cana-1518	13	18	effects	effect	NOUN
cana-1518	13	19	along	along	ADP
cana-1518	13	20	heat	heat	NOUN
cana-1518	13	21	sources	source	NOUN
cana-1518	13	22	while	while	SCONJ
cana-1518	13	23	stretching	stretch	VERB
cana-1518	13	24	a	a	DET
cana-1518	13	25	surface	surface	NOUN
cana-1518	13	26	.	.	PUNCT
cana-1518	14	1	convective	convective	ADJ
cana-1518	14	2	heat	heat	NOUN
cana-1518	14	3	and	and	CCONJ
cana-1518	14	4	mass	mass	NOUN
cana-1518	14	5	fluxes	flux	NOUN
cana-1518	14	6	were	be	AUX
cana-1518	14	7	positive	positive	ADJ
cana-1518	14	8	frequented	frequent	VERB
cana-1518	14	9	for	for	ADP
cana-1518	14	10	different	different	ADJ
cana-1518	14	11	values	value	NOUN
cana-1518	14	12	of	of	ADP
cana-1518	14	13	elastic	elastic	ADJ
cana-1518	14	14	,	,	PUNCT
cana-1518	14	15	magnetic	magnetic	ADJ
cana-1518	14	16	field	field	NOUN
cana-1518	14	17	and	and	CCONJ
cana-1518	14	18	permeability	permeability	NOUN
cana-1518	14	19	parameters	parameter	NOUN
cana-1518	14	20	affirming	affirm	VERB
cana-1518	14	21	influential	influential	ADJ
cana-1518	14	22	convection	convection	NOUN
cana-1518	14	23	transfer	transfer	NOUN
cana-1518	14	24	from	from	ADP
cana-1518	14	25	the	the	DET
cana-1518	14	26	surface	surface	NOUN
cana-1518	14	27	to	to	ADP
cana-1518	14	28	nanoliquid	nanoliquid	PROPN
cana-1518	14	29	.	.	PUNCT
cana-1518	15	1	the	the	DET
cana-1518	15	2	latter	latter	ADJ
cana-1518	15	3	points	point	NOUN
cana-1518	15	4	are	be	AUX
cana-1518	15	5	also	also	ADV
cana-1518	15	6	helpful	helpful	ADJ
cana-1518	15	7	when	when	SCONJ
cana-1518	15	8	it	it	PRON
cana-1518	15	9	comes	come	VERB
cana-1518	15	10	to	to	ADP
cana-1518	15	11	creating	create	VERB
cana-1518	15	12	efficient	efficient	ADJ
cana-1518	15	13	heat	heat	NOUN
cana-1518	15	14	exchangers	exchanger	NOUN
cana-1518	15	15	.	.	PUNCT
cana-1518	16	1	keywords	keyword	NOUN
cana-1518	16	2	:	:	PUNCT
cana-1518	16	3	mhd	mhd	NOUN
cana-1518	16	4	flow	flow	NOUN
cana-1518	16	5	,	,	PUNCT
cana-1518	16	6	heat	heat	NOUN
cana-1518	16	7	transfer	transfer	NOUN
cana-1518	16	8	,	,	PUNCT
cana-1518	16	9	mass	mass	NOUN
cana-1518	16	10	transfer	transfer	NOUN
cana-1518	16	11	,	,	PUNCT
cana-1518	16	12	nanofluid	nanofluid	ADJ
cana-1518	16	13	,	,	PUNCT
cana-1518	16	14	chemical	chemical	NOUN
cana-1518	16	15	reaction	reaction	NOUN
cana-1518	16	16	.	.	PUNCT
cana-1518	17	1	mailto:tripathypk2@gmail.com	mailto:tripathypk2@gmail.com	X
cana-1518	17	2	communications	communication	NOUN
cana-1518	17	3	on	on	ADP
cana-1518	17	4	applied	apply	VERB
cana-1518	17	5	nonlinear	nonlinear	ADJ
cana-1518	17	6	analysis	analysis	NOUN
cana-1518	17	7	issn	issn	NOUN
cana-1518	17	8	:	:	PUNCT
cana-1518	17	9	1074	1074	NUM
cana-1518	17	10	-	-	PUNCT
cana-1518	17	11	133x	133x	NUM
cana-1518	17	12	vol	vol	NOUN
cana-1518	17	13	31	31	NUM
cana-1518	17	14	no	no	NOUN
cana-1518	17	15	.	.	PUNCT
cana-1518	18	1	8s	8s	PROPN
cana-1518	18	2	(	(	PUNCT
cana-1518	18	3	2024	2024	NUM
cana-1518	18	4	)	)	PUNCT
cana-1518	18	5	377	377	NUM
cana-1518	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	18	7	1	1	X
cana-1518	18	8	.	.	PUNCT
cana-1518	18	9	introduction	introduction	NOUN
cana-1518	18	10	the	the	DET
cana-1518	18	11	study	study	NOUN
cana-1518	18	12	of	of	ADP
cana-1518	18	13	darcy	darcy	NOUN
cana-1518	18	14	-	-	PUNCT
cana-1518	18	15	type	type	NOUN
cana-1518	18	16	flow	flow	NOUN
cana-1518	18	17	in	in	ADP
cana-1518	18	18	the	the	DET
cana-1518	18	19	presence	presence	NOUN
cana-1518	18	20	of	of	ADP
cana-1518	18	21	boundary	boundary	ADJ
cana-1518	18	22	layer	layer	NOUN
cana-1518	18	23	through	through	ADP
cana-1518	18	24	conducting	conducting	NOUN
cana-1518	18	25	fluids	fluid	NOUN
cana-1518	18	26	has	have	VERB
cana-1518	18	27	immense	immense	ADJ
cana-1518	18	28	importance	importance	NOUN
cana-1518	18	29	for	for	ADP
cana-1518	18	30	many	many	ADJ
cana-1518	18	31	natural	natural	ADJ
cana-1518	18	32	and	and	CCONJ
cana-1518	18	33	industrial	industrial	ADJ
cana-1518	18	34	processes	process	NOUN
cana-1518	18	35	.	.	PUNCT
cana-1518	19	1	these	these	PRON
cana-1518	19	2	include	include	VERB
cana-1518	19	3	:	:	PUNCT
cana-1518	19	4	cooling	cool	VERB
cana-1518	19	5	of	of	ADP
cana-1518	19	6	electronic	electronic	ADJ
cana-1518	19	7	devices	device	NOUN
cana-1518	19	8	and	and	CCONJ
cana-1518	19	9	nuclear	nuclear	ADJ
cana-1518	19	10	reactors	reactor	NOUN
cana-1518	19	11	,	,	PUNCT
cana-1518	19	12	textile	textile	NOUN
cana-1518	19	13	and	and	CCONJ
cana-1518	19	14	paper	paper	NOUN
cana-1518	19	15	industries	industry	NOUN
cana-1518	19	16	for	for	ADP
cana-1518	19	17	flexible	flexible	ADJ
cana-1518	19	18	production	production	NOUN
cana-1518	19	19	processes	process	NOUN
cana-1518	19	20	that	that	PRON
cana-1518	19	21	can	can	AUX
cana-1518	19	22	be	be	AUX
cana-1518	19	23	potentially	potentially	ADV
cana-1518	19	24	reversible	reversible	ADJ
cana-1518	19	25	(	(	PUNCT
cana-1518	19	26	thermal	thermal	ADJ
cana-1518	19	27	energy	energy	NOUN
cana-1518	19	28	is	be	AUX
cana-1518	19	29	applied	apply	VERB
cana-1518	19	30	to	to	PART
cana-1518	19	31	melt	melt	VERB
cana-1518	19	32	the	the	DET
cana-1518	19	33	solid	solid	ADJ
cana-1518	19	34	material	material	NOUN
cana-1518	19	35	then	then	ADV
cana-1518	19	36	used	use	VERB
cana-1518	19	37	at	at	ADP
cana-1518	19	38	lower	low	ADJ
cana-1518	19	39	temperature	temperature	NOUN
cana-1518	19	40	to	to	PART
cana-1518	19	41	form	form	VERB
cana-1518	19	42	a	a	DET
cana-1518	19	43	new	new	ADJ
cana-1518	19	44	solid	solid	NOUN
cana-1518	19	45	as	as	ADP
cana-1518	19	46	in	in	ADP
cana-1518	19	47	processing	processing	NOUN
cana-1518	19	48	of	of	ADP
cana-1518	19	49	thermoplastic	thermoplastic	NOUN
cana-1518	19	50	)	)	PUNCT
cana-1518	19	51	,	,	PUNCT
cana-1518	19	52	geothermal	geothermal	NOUN
cana-1518	19	53	-	-	PUNCT
cana-1518	19	54	based	base	VERB
cana-1518	19	55	ultralow	ultralow	ADJ
cana-1518	19	56	-	-	PUNCT
cana-1518	19	57	grade	grade	NOUN
cana-1518	19	58	heating	heating	NOUN
cana-1518	19	59	or	or	CCONJ
cana-1518	19	60	cooling	cool	VERB
cana-1518	19	61	systems	system	NOUN
cana-1518	19	62	;	;	PUNCT
cana-1518	19	63	boundary	boundary	ADJ
cana-1518	19	64	-	-	PUNCT
cana-1518	19	65	layer	layer	NOUN
cana-1518	19	66	control	control	NOUN
cana-1518	19	67	in	in	ADP
cana-1518	19	68	aerodynamics	aerodynamic	NOUN
cana-1518	19	69	using	use	VERB
cana-1518	19	70	polymer	polymer	NOUN
cana-1518	19	71	additives	additive	NOUN
cana-1518	19	72	on	on	ADP
cana-1518	19	73	aircraft	aircraft	NOUN
cana-1518	19	74	surfaces	surface	NOUN
cana-1518	19	75	.	.	PUNCT
cana-1518	20	1	several	several	ADJ
cana-1518	20	2	researchers	researcher	NOUN
cana-1518	20	3	extended	extend	VERB
cana-1518	20	4	the	the	DET
cana-1518	20	5	idea	idea	NOUN
cana-1518	20	6	of	of	ADP
cana-1518	20	7	a	a	DET
cana-1518	20	8	stretching	stretch	VERB
cana-1518	20	9	sheet	sheet	NOUN
cana-1518	20	10	beyond	beyond	ADP
cana-1518	20	11	laminar	laminar	ADJ
cana-1518	20	12	flow	flow	NOUN
cana-1518	20	13	analysis	analysis	NOUN
cana-1518	20	14	and	and	CCONJ
cana-1518	20	15	investigated	investigate	VERB
cana-1518	20	16	different	different	ADJ
cana-1518	20	17	features	feature	NOUN
cana-1518	20	18	of	of	ADP
cana-1518	20	19	fluid	fluid	ADJ
cana-1518	20	20	dynamics	dynamic	NOUN
cana-1518	20	21	over	over	ADP
cana-1518	20	22	stretch	stretch	NOUN
cana-1518	20	23	-	-	PUNCT
cana-1518	20	24	ing	ing	ADJ
cana-1518	20	25	surfaces	surface	NOUN
cana-1518	20	26	as	as	ADV
cana-1518	20	27	well	well	ADV
cana-1518	20	28	as	as	ADP
cana-1518	20	29	heat	heat	NOUN
cana-1518	20	30	transfer	transfer	NOUN
cana-1518	20	31	.	.	PUNCT
cana-1518	21	1	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1518	21	2	(	(	PUNCT
cana-1518	21	3	mhd	mhd	NOUN
cana-1518	21	4	)	)	PUNCT
cana-1518	21	5	studies	study	NOUN
cana-1518	21	6	the	the	DET
cana-1518	21	7	behavior	behavior	NOUN
cana-1518	21	8	of	of	ADP
cana-1518	21	9	electrically	electrically	ADV
cana-1518	21	10	conducting	conduct	VERB
cana-1518	21	11	fluids	fluid	NOUN
cana-1518	21	12	in	in	ADP
cana-1518	21	13	a	a	DET
cana-1518	21	14	magnetic	magnetic	ADJ
cana-1518	21	15	field	field	NOUN
cana-1518	21	16	.	.	PUNCT
cana-1518	22	1	research	research	NOUN
cana-1518	22	2	has	have	AUX
cana-1518	22	3	shown	show	VERB
cana-1518	22	4	that	that	SCONJ
cana-1518	22	5	magnetic	magnetic	ADJ
cana-1518	22	6	fields	field	NOUN
cana-1518	22	7	have	have	VERB
cana-1518	22	8	strong	strong	ADJ
cana-1518	22	9	effects	effect	NOUN
cana-1518	22	10	on	on	ADP
cana-1518	22	11	the	the	DET
cana-1518	22	12	transport	transport	NOUN
cana-1518	22	13	and	and	CCONJ
cana-1518	22	14	heat	heat	NOUN
cana-1518	22	15	transfer	transfer	NOUN
cana-1518	22	16	characteristics	characteristic	NOUN
cana-1518	22	17	of	of	ADP
cana-1518	22	18	such	such	ADJ
cana-1518	22	19	fluids	fluid	NOUN
cana-1518	22	20	.	.	PUNCT
cana-1518	23	1	thus	thus	ADV
cana-1518	23	2	there	there	PRON
cana-1518	23	3	are	be	VERB
cana-1518	23	4	important	important	ADJ
cana-1518	23	5	practical	practical	ADJ
cana-1518	23	6	applications	application	NOUN
cana-1518	23	7	of	of	ADP
cana-1518	23	8	the	the	DET
cana-1518	23	9	mhd	mhd	NOUN
cana-1518	23	10	,	,	PUNCT
cana-1518	23	11	especially	especially	ADV
cana-1518	23	12	in	in	ADP
cana-1518	23	13	cooling	cool	VERB
cana-1518	23	14	liquid	liquid	ADJ
cana-1518	23	15	sodium	sodium	NOUN
cana-1518	23	16	for	for	ADP
cana-1518	23	17	nuclear	nuclear	ADJ
cana-1518	23	18	reactors	reactor	NOUN
cana-1518	23	19	and	and	CCONJ
cana-1518	23	20	in	in	ADP
cana-1518	23	21	induction	induction	NOUN
cana-1518	23	22	flow	flow	NOUN
cana-1518	23	23	meter	meter	NOUN
cana-1518	23	24	design	design	NOUN
cana-1518	23	25	.	.	PUNCT
cana-1518	24	1	the	the	DET
cana-1518	24	2	increase	increase	NOUN
cana-1518	24	3	interest	interest	NOUN
cana-1518	24	4	on	on	ADP
cana-1518	24	5	the	the	DET
cana-1518	24	6	mhd	mhd	PROPN
cana-1518	24	7	applications	application	NOUN
cana-1518	24	8	in	in	ADP
cana-1518	24	9	polymer	polymer	NOUN
cana-1518	24	10	and	and	CCONJ
cana-1518	24	11	metallurgy	metallurgy	NOUN
cana-1518	24	12	industries	industry	NOUN
cana-1518	24	13	also	also	ADV
cana-1518	24	14	inspires	inspire	VERB
cana-1518	24	15	numerous	numerous	ADJ
cana-1518	24	16	studies	study	NOUN
cana-1518	24	17	of	of	ADP
cana-1518	24	18	mhd	mhd	PROPN
cana-1518	24	19	flows	flow	NOUN
cana-1518	24	20	.	.	PUNCT
cana-1518	25	1	dissipation	dissipation	NOUN
cana-1518	25	2	,	,	PUNCT
cana-1518	25	3	i.e.	i.e.	X
cana-1518	25	4	,	,	PUNCT
cana-1518	25	5	the	the	DET
cana-1518	25	6	conversion	conversion	NOUN
cana-1518	25	7	of	of	ADP
cana-1518	25	8	mechanical	mechanical	ADJ
cana-1518	25	9	energy	energy	NOUN
cana-1518	25	10	to	to	ADP
cana-1518	25	11	thermal	thermal	ADJ
cana-1518	25	12	and	and	CCONJ
cana-1518	25	13	acoustical	acoustical	ADJ
cana-1518	25	14	energies	energy	NOUN
cana-1518	25	15	(	(	PUNCT
cana-1518	25	16	as	as	SCONJ
cana-1518	25	17	it	it	PRON
cana-1518	25	18	happens	happen	VERB
cana-1518	25	19	in	in	ADP
cana-1518	25	20	many	many	ADJ
cana-1518	25	21	realistic	realistic	ADJ
cana-1518	25	22	problems	problem	NOUN
cana-1518	25	23	especially	especially	ADV
cana-1518	25	24	when	when	SCONJ
cana-1518	25	25	substantial	substantial	ADJ
cana-1518	25	26	heating	heating	NOUN
cana-1518	25	27	is	be	AUX
cana-1518	25	28	involved	involve	VERB
cana-1518	25	29	;	;	PUNCT
cana-1518	25	30	as	as	ADP
cana-1518	25	31	in	in	ADP
cana-1518	25	32	polymer	polymer	NOUN
cana-1518	25	33	processing	processing	NOUN
cana-1518	25	34	or	or	CCONJ
cana-1518	25	35	aerodynamic	aerodynamic	ADJ
cana-1518	25	36	heating	heating	NOUN
cana-1518	25	37	)	)	PUNCT
cana-1518	25	38	viscous	viscous	ADJ
cana-1518	25	39	dissipation	dissipation	NOUN
cana-1518	25	40	,	,	PUNCT
cana-1518	25	41	the	the	DET
cana-1518	25	42	phenomenon	phenomenon	NOUN
cana-1518	25	43	where	where	SCONJ
cana-1518	25	44	kinetic	kinetic	ADJ
cana-1518	25	45	energy	energy	NOUN
cana-1518	25	46	is	be	AUX
cana-1518	25	47	converted	convert	VERB
cana-1518	25	48	into	into	ADP
cana-1518	25	49	heat	heat	NOUN
cana-1518	25	50	because	because	SCONJ
cana-1518	25	51	of	of	ADP
cana-1518	25	52	viscous	viscous	ADJ
cana-1518	25	53	forces	force	NOUN
cana-1518	25	54	,	,	PUNCT
cana-1518	25	55	has	have	AUX
cana-1518	25	56	been	be	AUX
cana-1518	25	57	researched	research	VERB
cana-1518	25	58	in	in	ADP
cana-1518	25	59	numerous	numerous	ADJ
cana-1518	25	60	flow	flow	NOUN
cana-1518	25	61	cases	case	NOUN
cana-1518	25	62	.	.	PUNCT
cana-1518	26	1	also	also	ADV
cana-1518	26	2	,	,	PUNCT
cana-1518	26	3	workers	worker	NOUN
cana-1518	26	4	have	have	AUX
cana-1518	26	5	investigated	investigate	VERB
cana-1518	26	6	the	the	DET
cana-1518	26	7	effects	effect	NOUN
cana-1518	26	8	of	of	ADP
cana-1518	26	9	viscous	viscous	ADJ
cana-1518	26	10	dissipation	dissipation	NOUN
cana-1518	26	11	in	in	ADP
cana-1518	26	12	boundary	boundary	ADJ
cana-1518	26	13	layer	layer	NOUN
cana-1518	26	14	flow	flow	NOUN
cana-1518	26	15	over	over	ADP
cana-1518	26	16	stretching	stretch	VERB
cana-1518	26	17	surfaces	surface	NOUN
cana-1518	26	18	and	and	CCONJ
cana-1518	26	19	highlighted	highlight	VERB
cana-1518	26	20	pronounced	pronounce	VERB
cana-1518	26	21	consequences	consequence	NOUN
cana-1518	26	22	on	on	ADP
cana-1518	26	23	temperature	temperature	NOUN
cana-1518	26	24	field	field	NOUN
cana-1518	26	25	characteristics	characteristic	NOUN
cana-1518	26	26	and	and	CCONJ
cana-1518	26	27	heat	heat	NOUN
cana-1518	26	28	transfer	transfer	NOUN
cana-1518	26	29	rates	rate	NOUN
cana-1518	26	30	.	.	PUNCT
cana-1518	27	1	the	the	DET
cana-1518	27	2	dynamics	dynamic	NOUN
cana-1518	27	3	and	and	CCONJ
cana-1518	27	4	heat	heat	NOUN
cana-1518	27	5	transfer	transfer	NOUN
cana-1518	27	6	rates	rate	NOUN
cana-1518	27	7	at	at	ADP
cana-1518	27	8	surfaces	surface	NOUN
cana-1518	27	9	of	of	ADP
cana-1518	27	10	boundary	boundary	ADJ
cana-1518	27	11	layer	layer	NOUN
cana-1518	27	12	flows	flow	NOUN
cana-1518	27	13	may	may	AUX
cana-1518	27	14	be	be	AUX
cana-1518	27	15	substantially	substantially	ADV
cana-1518	27	16	influenced	influence	VERB
cana-1518	27	17	by	by	ADP
cana-1518	27	18	the	the	DET
cana-1518	27	19	presence	presence	NOUN
cana-1518	27	20	of	of	ADP
cana-1518	27	21	porous	porous	ADJ
cana-1518	27	22	media	medium	NOUN
cana-1518	27	23	.	.	PUNCT
cana-1518	28	1	porous	porous	ADJ
cana-1518	28	2	media	medium	NOUN
cana-1518	28	3	:	:	PUNCT
cana-1518	28	4	in	in	ADP
cana-1518	28	5	a	a	DET
cana-1518	28	6	porous	porous	ADJ
cana-1518	28	7	medium	medium	NOUN
cana-1518	28	8	,	,	PUNCT
cana-1518	28	9	two	two	NUM
cana-1518	28	10	types	type	NOUN
cana-1518	28	11	of	of	ADP
cana-1518	28	12	models	model	NOUN
cana-1518	28	13	can	can	AUX
cana-1518	28	14	be	be	AUX
cana-1518	28	15	used	use	VERB
cana-1518	28	16	to	to	PART
cana-1518	28	17	simulate	simulate	VERB
cana-1518	28	18	the	the	DET
cana-1518	28	19	flow	flow	NOUN
cana-1518	28	20	;	;	PUNCT
cana-1518	28	21	one	one	NUM
cana-1518	28	22	side	side	NOUN
cana-1518	28	23	is	be	AUX
cana-1518	28	24	attributable	attributable	ADJ
cana-1518	28	25	to	to	ADP
cana-1518	28	26	darcy	darcy	PROPN
cana-1518	28	27	and	and	CCONJ
cana-1518	28	28	other	other	ADJ
cana-1518	28	29	side	side	NOUN
cana-1518	28	30	represents	represent	VERB
cana-1518	28	31	the	the	DET
cana-1518	28	32	effects	effect	NOUN
cana-1518	28	33	on	on	ADP
cana-1518	28	34	pressure	pressure	NOUN
cana-1518	28	35	gradients	gradient	NOUN
cana-1518	28	36	while	while	SCONJ
cana-1518	28	37	another	another	DET
cana-1518	28	38	model	model	NOUN
cana-1518	28	39	represent	represent	VERB
cana-1518	28	40	results	result	NOUN
cana-1518	28	41	due	due	ADP
cana-1518	28	42	to	to	ADP
cana-1518	28	43	inertial	inertial	ADJ
cana-1518	28	44	forces	force	NOUN
cana-1518	28	45	(	(	PUNCT
cana-1518	28	46	darcy	darcy	NOUN
cana-1518	28	47	-	-	PUNCT
cana-1518	28	48	forchheimer	forchheimer	PROPN
cana-1518	28	49	—	—	PUNCT
cana-1518	28	50	df	df	NOUN
cana-1518	28	51	)	)	PUNCT
cana-1518	29	1	[	[	X
cana-1518	29	2	21	21	NUM
cana-1518	29	3	]	]	PUNCT
cana-1518	29	4	.	.	PUNCT
cana-1518	30	1	the	the	DET
cana-1518	30	2	models	model	NOUN
cana-1518	30	3	have	have	VERB
cana-1518	30	4	implications	implication	NOUN
cana-1518	30	5	for	for	ADP
cana-1518	30	6	geophysical	geophysical	ADJ
cana-1518	30	7	fluid	fluid	ADJ
cana-1518	30	8	dynamics	dynamic	NOUN
cana-1518	30	9	,	,	PUNCT
cana-1518	30	10	chemical	chemical	NOUN
cana-1518	30	11	engineering	engineering	NOUN
cana-1518	30	12	,	,	PUNCT
cana-1518	30	13	and	and	CCONJ
cana-1518	30	14	materials	material	NOUN
cana-1518	30	15	processing	processing	NOUN
cana-1518	30	16	.	.	PUNCT
cana-1518	31	1	the	the	DET
cana-1518	31	2	ejection	ejection	NOUN
cana-1518	31	3	or	or	CCONJ
cana-1518	31	4	suction	suction	NOUN
cana-1518	31	5	due	due	ADP
cana-1518	31	6	to	to	ADP
cana-1518	31	7	a	a	DET
cana-1518	31	8	surface	surface	NOUN
cana-1518	31	9	moving	move	VERB
cana-1518	31	10	at	at	ADP
cana-1518	31	11	varying	vary	VERB
cana-1518	31	12	speeds	speed	NOUN
cana-1518	31	13	is	be	AUX
cana-1518	31	14	yet	yet	ADV
cana-1518	31	15	another	another	DET
cana-1518	31	16	important	important	ADJ
cana-1518	31	17	characteristic	characteristic	NOUN
cana-1518	31	18	of	of	ADP
cana-1518	31	19	such	such	ADJ
cana-1518	31	20	flows	flow	NOUN
cana-1518	31	21	,	,	PUNCT
cana-1518	31	22	and	and	CCONJ
cana-1518	31	23	one	one	NUM
cana-1518	31	24	that	that	PRON
cana-1518	31	25	plays	play	VERB
cana-1518	31	26	an	an	DET
cana-1518	31	27	added	add	VERB
cana-1518	31	28	role	role	NOUN
cana-1518	31	29	in	in	ADP
cana-1518	31	30	the	the	DET
cana-1518	31	31	boundary	boundary	ADJ
cana-1518	31	32	layer	layer	NOUN
cana-1518	31	33	thickness	thickness	NOUN
cana-1518	31	34	.	.	PUNCT
cana-1518	32	1	the	the	DET
cana-1518	32	2	problems	problem	NOUN
cana-1518	32	3	involving	involve	VERB
cana-1518	32	4	heat	heat	NOUN
cana-1518	32	5	and	and	CCONJ
cana-1518	32	6	mass	mass	NOUN
cana-1518	32	7	transfer	transfer	NOUN
cana-1518	32	8	with	with	ADP
cana-1518	32	9	accompanied	accompanied	ADJ
cana-1518	32	10	chemical	chemical	ADJ
cana-1518	32	11	reactions	reaction	NOUN
cana-1518	32	12	are	be	AUX
cana-1518	32	13	significant	significant	ADJ
cana-1518	32	14	in	in	ADP
cana-1518	32	15	a	a	DET
cana-1518	32	16	number	number	NOUN
cana-1518	32	17	of	of	ADP
cana-1518	32	18	industrial	industrial	ADJ
cana-1518	32	19	processes	process	NOUN
cana-1518	32	20	,	,	PUNCT
cana-1518	32	21	including	include	VERB
cana-1518	32	22	drying	dry	VERB
cana-1518	32	23	,	,	PUNCT
cana-1518	32	24	evaporation	evaporation	NOUN
cana-1518	32	25	or	or	CCONJ
cana-1518	32	26	cooling	cool	VERB
cana-1518	32	27	towers	tower	NOUN
cana-1518	32	28	.	.	PUNCT
cana-1518	33	1	recently	recently	ADV
cana-1518	33	2	many	many	ADJ
cana-1518	33	3	studies	study	NOUN
cana-1518	33	4	have	have	AUX
cana-1518	33	5	been	be	AUX
cana-1518	33	6	carried	carry	VERB
cana-1518	33	7	out	out	ADP
cana-1518	33	8	on	on	ADP
cana-1518	33	9	the	the	DET
cana-1518	33	10	joint	joint	ADJ
cana-1518	33	11	effects	effect	NOUN
cana-1518	33	12	of	of	ADP
cana-1518	33	13	mhd	mhd	NOUN
cana-1518	33	14	,	,	PUNCT
cana-1518	33	15	chemical	chemical	ADJ
cana-1518	33	16	reactions	reaction	NOUN
cana-1518	33	17	and	and	CCONJ
cana-1518	33	18	viscous	viscous	ADJ
cana-1518	33	19	dissipation	dissipation	NOUN
cana-1518	33	20	in	in	ADP
cana-1518	33	21	porous	porous	ADJ
cana-1518	33	22	media	medium	NOUN
cana-1518	33	23	[	[	X
cana-1518	33	24	9	9	NUM
cana-1518	33	25	]	]	PUNCT
cana-1518	33	26	.	.	PUNCT
cana-1518	34	1	together	together	ADV
cana-1518	34	2	,	,	PUNCT
cana-1518	34	3	these	these	DET
cana-1518	34	4	mechanisms	mechanism	NOUN
cana-1518	34	5	are	be	AUX
cana-1518	34	6	important	important	ADJ
cana-1518	34	7	for	for	ADP
cana-1518	34	8	applications	application	NOUN
cana-1518	34	9	such	such	ADJ
cana-1518	34	10	as	as	ADP
cana-1518	34	11	plastic	plastic	ADJ
cana-1518	34	12	curing	curing	NOUN
cana-1518	34	13	(	(	PUNCT
cana-1518	34	14	vulcanizing	vulcanizing	NOUN
cana-1518	34	15	)	)	PUNCT
cana-1518	34	16	,	,	PUNCT
cana-1518	34	17	chemical	chemical	NOUN
cana-1518	34	18	processing	processing	NOUN
cana-1518	34	19	and	and	CCONJ
cana-1518	34	20	manufacturing	manufacturing	NOUN
cana-1518	34	21	of	of	ADP
cana-1518	34	22	insulated	insulated	ADJ
cana-1518	34	23	cables	cable	NOUN
cana-1518	34	24	.	.	PUNCT
cana-1518	35	1	perhaps	perhaps	ADV
cana-1518	35	2	the	the	DET
cana-1518	35	3	most	most	ADV
cana-1518	35	4	important	important	ADJ
cana-1518	35	5	breakthrough	breakthrough	NOUN
cana-1518	35	6	in	in	ADP
cana-1518	35	7	heat	heat	NOUN
cana-1518	35	8	trans	trans	NOUN
cana-1518	35	9	applications	application	NOUN
cana-1518	35	10	of	of	ADP
cana-1518	35	11	nanofluids	nanofluid	NOUN
cana-1518	35	12	is	be	AUX
cana-1518	35	13	that	that	SCONJ
cana-1518	35	14	they	they	PRON
cana-1518	35	15	were	be	AUX
cana-1518	35	16	first	first	ADV
cana-1518	35	17	proposed	propose	VERB
cana-1518	35	18	and	and	CCONJ
cana-1518	35	19	studied	study	VERB
cana-1518	35	20	on	on	ADP
cana-1518	35	21	1993	1993	NUM
cana-1518	35	22	.	.	PUNCT
cana-1518	36	1	nanofluids	nanofluid	NOUN
cana-1518	36	2	are	be	AUX
cana-1518	36	3	engineered	engineer	VERB
cana-1518	36	4	suspensions	suspension	NOUN
cana-1518	36	5	of	of	ADP
cana-1518	36	6	nanoparticles	nanoparticle	NOUN
cana-1518	36	7	in	in	ADP
cana-1518	36	8	traditional	traditional	ADJ
cana-1518	36	9	fluids	fluid	NOUN
cana-1518	36	10	such	such	ADJ
cana-1518	36	11	as	as	ADP
cana-1518	36	12	water	water	NOUN
cana-1518	36	13	or	or	CCONJ
cana-1518	36	14	oil	oil	NOUN
cana-1518	36	15	,	,	PUNCT
cana-1518	36	16	providing	provide	VERB
cana-1518	36	17	improved	improved	ADJ
cana-1518	36	18	thermal	thermal	ADJ
cana-1518	36	19	conductivity	conductivity	NOUN
cana-1518	36	20	and	and	CCONJ
cana-1518	36	21	convective	convective	ADJ
cana-1518	36	22	properties	property	NOUN
cana-1518	36	23	.	.	PUNCT
cana-1518	37	1	this	this	PRON
cana-1518	37	2	has	have	AUX
cana-1518	37	3	sparked	spark	VERB
cana-1518	37	4	interest	interest	NOUN
cana-1518	37	5	in	in	ADP
cana-1518	37	6	some	some	DET
cana-1518	37	7	fluids	fluid	NOUN
cana-1518	37	8	as	as	SCONJ
cana-1518	37	9	they	they	PRON
cana-1518	37	10	could	could	AUX
cana-1518	37	11	help	help	VERB
cana-1518	37	12	improve	improve	VERB
cana-1518	37	13	cooling	cool	VERB
cana-1518	37	14	methods	method	NOUN
cana-1518	37	15	for	for	ADP
cana-1518	37	16	high	high	ADJ
cana-1518	37	17	-	-	PUNCT
cana-1518	37	18	energy	energy	NOUN
cana-1518	37	19	operations	operation	NOUN
cana-1518	37	20	.	.	PUNCT
cana-1518	38	1	one	one	NUM
cana-1518	38	2	of	of	ADP
cana-1518	38	3	their	their	PRON
cana-1518	38	4	unique	unique	ADJ
cana-1518	38	5	properties	property	NOUN
cana-1518	38	6	is	be	AUX
cana-1518	38	7	the	the	DET
cana-1518	38	8	enhanced	enhanced	ADJ
cana-1518	38	9	response	response	NOUN
cana-1518	38	10	to	to	ADP
cana-1518	38	11	mangetic	mangetic	ADJ
cana-1518	38	12	fields	field	NOUN
cana-1518	38	13	that	that	PRON
cana-1518	38	14	makes	make	VERB
cana-1518	38	15	them	they	PRON
cana-1518	38	16	more	more	ADV
cana-1518	38	17	efficient	efficient	ADJ
cana-1518	38	18	for	for	ADP
cana-1518	38	19	using	use	VERB
cana-1518	38	20	in	in	ADP
cana-1518	38	21	mhd	mhd	NOUN
cana-1518	38	22	applications	application	NOUN
cana-1518	38	23	.	.	PUNCT
cana-1518	39	1	nanofluids	nanofluid	NOUN
cana-1518	39	2	have	have	AUX
cana-1518	39	3	shown	show	VERB
cana-1518	39	4	thermal	thermal	ADJ
cana-1518	39	5	conductivity	conductivity	NOUN
cana-1518	39	6	improvements	improvement	NOUN
cana-1518	39	7	15	15	NUM
cana-1518	39	8	%	%	NOUN
cana-1518	39	9	to	to	PART
cana-1518	39	10	40	40	NUM
cana-1518	39	11	%	%	NOUN
cana-1518	39	12	over	over	ADP
cana-1518	39	13	base	base	NOUN
cana-1518	39	14	fluids	fluid	NOUN
cana-1518	39	15	,	,	PUNCT
cana-1518	39	16	making	make	VERB
cana-1518	39	17	them	they	PRON
cana-1518	39	18	a	a	DET
cana-1518	39	19	potential	potential	ADJ
cana-1518	39	20	candidate	candidate	NOUN
cana-1518	39	21	in	in	ADP
cana-1518	39	22	modern	modern	ADJ
cana-1518	39	23	cooling	cool	VERB
cana-1518	39	24	techniques	technique	NOUN
cana-1518	39	25	.	.	PUNCT
cana-1518	40	1	hence	hence	ADV
cana-1518	40	2	,	,	PUNCT
cana-1518	40	3	the	the	DET
cana-1518	40	4	study	study	NOUN
cana-1518	40	5	of	of	ADP
cana-1518	40	6	magentohydrodynamic	magentohydrodynamic	ADJ
cana-1518	40	7	(	(	PUNCT
cana-1518	40	8	mhd	mhd	NOUN
cana-1518	40	9	)	)	PUNCT
cana-1518	40	10	flows	flow	VERB
cana-1518	40	11	in	in	ADP
cana-1518	40	12	addition	addition	NOUN
cana-1518	40	13	to	to	ADP
cana-1518	40	14	viscous	viscous	ADJ
cana-1518	40	15	dissipation	dissipation	NOUN
cana-1518	40	16	over	over	ADP
cana-1518	40	17	chemical	chemical	ADJ
cana-1518	40	18	reactions	reaction	NOUN
cana-1518	40	19	and	and	CCONJ
cana-1518	40	20	nanofluids	nanofluid	VERB
cana-1518	40	21	is	be	AUX
cana-1518	40	22	essential	essential	ADJ
cana-1518	40	23	for	for	ADP
cana-1518	40	24	several	several	ADJ
cana-1518	40	25	technological	technological	ADJ
cana-1518	40	26	applications	application	NOUN
cana-1518	40	27	associated	associate	VERB
cana-1518	40	28	with	with	ADP
cana-1518	40	29	energy	energy	NOUN
cana-1518	40	30	sector	sector	NOUN
cana-1518	40	31	such	such	ADJ
cana-1518	40	32	as	as	ADP
cana-1518	40	33	nuclear	nuclear	ADJ
cana-1518	40	34	reactors	reactor	NOUN
cana-1518	40	35	,	,	PUNCT
cana-1518	40	36	manufacturing	manufacturing	NOUN
cana-1518	40	37	processes	process	VERB
cana-1518	40	38	communications	communication	NOUN
cana-1518	40	39	on	on	ADP
cana-1518	40	40	applied	apply	VERB
cana-1518	40	41	nonlinear	nonlinear	ADJ
cana-1518	40	42	analysis	analysis	NOUN
cana-1518	40	43	issn	issn	NOUN
cana-1518	40	44	:	:	PUNCT
cana-1518	40	45	1074	1074	NUM
cana-1518	40	46	-	-	PUNCT
cana-1518	40	47	133x	133x	NUM
cana-1518	40	48	vol	vol	NOUN
cana-1518	40	49	31	31	NUM
cana-1518	40	50	no	no	NOUN
cana-1518	40	51	.	.	PUNCT
cana-1518	41	1	8s	8s	PROPN
cana-1518	41	2	(	(	PUNCT
cana-1518	41	3	2024	2024	NUM
cana-1518	41	4	)	)	PUNCT
cana-1518	41	5	378	378	NUM
cana-1518	41	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1518	41	7	etcfurthermore	etcfurthermore	NOUN
cana-1518	41	8	,	,	PUNCT
cana-1518	41	9	application	application	NOUN
cana-1518	41	10	wise	wise	ADJ
cana-1518	41	11	technologically	technologically	ADV
cana-1518	41	12	advancement	advancement	NOUN
cana-1518	41	13	has	have	AUX
cana-1518	41	14	been	be	AUX
cana-1518	41	15	increased	increase	VERB
cana-1518	41	16	by	by	ADP
cana-1518	41	17	combine	combine	NOUN
cana-1518	41	18	effects	effect	NOUN
cana-1518	41	19	under	under	ADP
cana-1518	41	20	any	any	DET
cana-1518	41	21	industrial	industrial	ADJ
cana-1518	41	22	industries	industry	NOUN
cana-1518	41	23	.	.	PUNCT
cana-1518	42	1	however	however	ADV
cana-1518	42	2	,	,	PUNCT
cana-1518	42	3	further	further	ADJ
cana-1518	42	4	studies	study	NOUN
cana-1518	42	5	towards	towards	ADP
cana-1518	42	6	understanding	understand	VERB
cana-1518	42	7	the	the	DET
cana-1518	42	8	complex	complex	ADJ
cana-1518	42	9	interactions	interaction	NOUN
cana-1518	42	10	among	among	ADP
cana-1518	42	11	these	these	DET
cana-1518	42	12	metabolites	metabolite	NOUN
cana-1518	42	13	will	will	AUX
cana-1518	42	14	likely	likely	ADV
cana-1518	42	15	be	be	AUX
cana-1518	42	16	required	require	VERB
cana-1518	42	17	to	to	PART
cana-1518	42	18	maximize	maximize	VERB
cana-1518	42	19	its	its	PRON
cana-1518	42	20	potential	potential	ADJ
cana-1518	42	21	benefit	benefit	NOUN
cana-1518	42	22	in	in	ADP
cana-1518	42	23	both	both	DET
cana-1518	42	24	model	model	NOUN
cana-1518	42	25	and	and	CCONJ
cana-1518	42	26	full	full	ADJ
cana-1518	42	27	-	-	PUNCT
cana-1518	42	28	scale	scale	NOUN
cana-1518	42	29	applications	application	NOUN
cana-1518	42	30	.	.	PUNCT
cana-1518	43	1	the	the	DET
cana-1518	43	2	present	present	ADJ
cana-1518	43	3	study	study	NOUN
cana-1518	43	4	aims	aim	VERB
cana-1518	43	5	to	to	PART
cana-1518	43	6	advance	advance	VERB
cana-1518	43	7	the	the	DET
cana-1518	43	8	understanding	understanding	NOUN
cana-1518	43	9	of	of	ADP
cana-1518	43	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	43	11	flow	flow	NOUN
cana-1518	43	12	and	and	CCONJ
cana-1518	43	13	heat	heat	NOUN
cana-1518	43	14	transfer	transfer	NOUN
cana-1518	43	15	of	of	ADP
cana-1518	43	16	nanofluids	nanofluid	NOUN
cana-1518	43	17	through	through	ADP
cana-1518	43	18	porous	porous	ADJ
cana-1518	43	19	media	medium	NOUN
cana-1518	43	20	in	in	ADP
cana-1518	43	21	which	which	PRON
cana-1518	43	22	viscous	viscous	ADJ
cana-1518	43	23	dissipation	dissipation	NOUN
cana-1518	43	24	accompanies	accompany	VERB
cana-1518	43	25	with	with	ADP
cana-1518	43	26	chemical	chemical	ADJ
cana-1518	43	27	reaction	reaction	NOUN
cana-1518	43	28	effects	effect	NOUN
cana-1518	43	29	are	be	AUX
cana-1518	43	30	incorporated	incorporate	VERB
cana-1518	43	31	utilizing	utilize	VERB
cana-1518	43	32	established	establish	VERB
cana-1518	43	33	numerical	numerical	ADJ
cana-1518	43	34	techniques	technique	NOUN
cana-1518	43	35	like	like	ADP
cana-1518	43	36	keller	keller	PROPN
cana-1518	43	37	-	-	PUNCT
cana-1518	43	38	box	box	PROPN
cana-1518	43	39	method	method	NOUN
cana-1518	43	40	.	.	PUNCT
cana-1518	44	1	2	2	X
cana-1518	44	2	.	.	NUM
cana-1518	44	3	related	relate	VERB
cana-1518	44	4	study	study	NOUN
cana-1518	44	5	in	in	ADP
cana-1518	44	6	the	the	DET
cana-1518	44	7	literature	literature	NOUN
cana-1518	44	8	of	of	ADP
cana-1518	44	9	fluid	fluid	ADJ
cana-1518	44	10	dynamics	dynamic	NOUN
cana-1518	44	11	,	,	PUNCT
cana-1518	44	12	boundary	boundary	ADJ
cana-1518	44	13	layer	layer	NOUN
cana-1518	44	14	flows	flow	VERB
cana-1518	44	15	on	on	ADP
cana-1518	44	16	stretching	stretch	VERB
cana-1518	44	17	and	and	CCONJ
cana-1518	44	18	shrinking	shrink	VERB
cana-1518	44	19	surfaces	surface	NOUN
cana-1518	44	20	have	have	AUX
cana-1518	44	21	been	be	AUX
cana-1518	44	22	one	one	NUM
cana-1518	44	23	of	of	ADP
cana-1518	44	24	the	the	DET
cana-1518	44	25	most	most	ADV
cana-1518	44	26	widely	widely	ADV
cana-1518	44	27	researched	research	VERB
cana-1518	44	28	areas	area	NOUN
cana-1518	44	29	with	with	ADP
cana-1518	44	30	attention	attention	NOUN
cana-1518	44	31	to	to	ADP
cana-1518	44	32	fluid	fluid	ADJ
cana-1518	44	33	characteristics	characteristic	NOUN
cana-1518	44	34	,	,	PUNCT
cana-1518	44	35	convective	convective	ADJ
cana-1518	44	36	heat	heat	NOUN
cana-1518	44	37	transfer	transfer	NOUN
cana-1518	44	38	phenomena	phenomenon	NOUN
cana-1518	44	39	and	and	CCONJ
cana-1518	44	40	external	external	ADJ
cana-1518	44	41	impacts	impact	NOUN
cana-1518	44	42	(	(	PUNCT
cana-1518	44	43	such	such	ADJ
cana-1518	44	44	as	as	ADP
cana-1518	44	45	magnetic	magnetic	ADJ
cana-1518	44	46	fields	field	NOUN
cana-1518	44	47	[	[	X
cana-1518	44	48	1	1	NUM
cana-1518	44	49	]	]	PUNCT
cana-1518	44	50	,	,	PUNCT
cana-1518	44	51	addition	addition	NOUN
cana-1518	44	52	of	of	ADP
cana-1518	44	53	nanoparticle	nanoparticle	NOUN
cana-1518	45	1	[	[	X
cana-1518	45	2	2	2	NUM
cana-1518	45	3	]	]	PUNCT
cana-1518	45	4	&	&	CCONJ
cana-1518	45	5	chemical	chemical	PROPN
cana-1518	45	6	reaction[3	reaction[3	PROPN
cana-1518	45	7	]	]	PUNCT
cana-1518	45	8	.	.	PUNCT
cana-1518	46	1	the	the	DET
cana-1518	46	2	key	key	ADJ
cana-1518	46	3	studies	study	NOUN
cana-1518	46	4	related	relate	VERB
cana-1518	46	5	to	to	ADP
cana-1518	46	6	the	the	DET
cana-1518	46	7	present	present	ADJ
cana-1518	46	8	research	research	NOUN
cana-1518	46	9	of	of	ADP
cana-1518	46	10	magneto	magneto	NOUN
cana-1518	46	11	-	-	PUNCT
cana-1518	46	12	hydrodynamic	hydrodynamic	ADJ
cana-1518	46	13	(	(	PUNCT
cana-1518	46	14	mhd	mhd	NOUN
cana-1518	46	15	)	)	PUNCT
cana-1518	46	16	flow	flow	NOUN
cana-1518	46	17	and	and	CCONJ
cana-1518	46	18	heat	heat	NOUN
cana-1518	46	19	transfer	transfer	NOUN
cana-1518	46	20	on	on	ADP
cana-1518	46	21	nanofluids	nanofluid	NOUN
cana-1518	46	22	with	with	ADP
cana-1518	46	23	special	special	ADJ
cana-1518	46	24	references	reference	NOUN
cana-1518	46	25	visco	visco	ADJ
cana-1518	46	26	-	-	ADJ
cana-1518	46	27	thermal	thermal	ADJ
cana-1518	46	28	dissipation	dissipation	NOUN
cana-1518	46	29	,	,	PUNCT
cana-1518	46	30	porosity	porosity	NOUN
cana-1518	46	31	effect	effect	NOUN
cana-1518	46	32	,	,	PUNCT
cana-1518	46	33	and	and	CCONJ
cana-1518	46	34	chemical	chemical	NOUN
cana-1518	46	35	reaction	reaction	NOUN
cana-1518	46	36	effects	effect	NOUN
cana-1518	46	37	are	be	AUX
cana-1518	46	38	summarized	summarize	VERB
cana-1518	46	39	in	in	ADP
cana-1518	46	40	this	this	DET
cana-1518	46	41	section	section	NOUN
cana-1518	46	42	.	.	PUNCT
cana-1518	47	1	boundary	boundary	ADJ
cana-1518	47	2	layer	layer	NOUN
cana-1518	47	3	flow	flow	NOUN
cana-1518	47	4	over	over	ADP
cana-1518	47	5	a	a	DET
cana-1518	47	6	stretching	stretch	VERB
cana-1518	47	7	surface	surface	NOUN
cana-1518	47	8	(	(	PUNCT
cana-1518	47	9	sakiadis	sakiadis	PROPN
cana-1518	47	10	,	,	PUNCT
cana-1518	47	11	1961	1961	NUM
cana-1518	47	12	)	)	PUNCT
cana-1518	47	13	portrays	portray	VERB
cana-1518	47	14	the	the	DET
cana-1518	47	15	motion	motion	NOUN
cana-1518	47	16	of	of	ADP
cana-1518	47	17	an	an	DET
cana-1518	47	18	incompressible	incompressible	ADJ
cana-1518	47	19	viscous	viscous	ADJ
cana-1518	47	20	fluid	fluid	NOUN
cana-1518	47	21	.	.	PUNCT
cana-1518	48	1	this	this	DET
cana-1518	48	2	key	key	ADJ
cana-1518	48	3	work	work	NOUN
cana-1518	48	4	not	not	PART
cana-1518	48	5	only	only	ADV
cana-1518	48	6	provided	provide	VERB
cana-1518	48	7	the	the	DET
cana-1518	48	8	starting	starting	NOUN
cana-1518	48	9	point	point	NOUN
cana-1518	48	10	for	for	ADP
cana-1518	48	11	a	a	DET
cana-1518	48	12	proliferation	proliferation	NOUN
cana-1518	48	13	of	of	ADP
cana-1518	48	14	research	research	NOUN
cana-1518	48	15	into	into	ADP
cana-1518	48	16	sheet	sheet	NOUN
cana-1518	48	17	stretching	stretching	NOUN
cana-1518	48	18	,	,	PUNCT
cana-1518	48	19	but	but	CCONJ
cana-1518	48	20	also	also	ADV
cana-1518	48	21	fixed	fix	VERB
cana-1518	48	22	many	many	ADJ
cana-1518	48	23	widely	widely	ADV
cana-1518	48	24	accepted	accept	VERB
cana-1518	48	25	misconceptions	misconception	NOUN
cana-1518	48	26	from	from	ADP
cana-1518	48	27	earlier	early	ADJ
cana-1518	48	28	models	model	NOUN
cana-1518	48	29	.	.	PUNCT
cana-1518	49	1	subsequently	subsequently	ADV
cana-1518	49	2	in	in	ADP
cana-1518	49	3	1970	1970	NUM
cana-1518	49	4	,	,	PUNCT
cana-1518	49	5	crane	crane	NOUN
cana-1518	50	1	[	[	X
cana-1518	50	2	6	6	NUM
cana-1518	50	3	]	]	PUNCT
cana-1518	50	4	developed	develop	VERB
cana-1518	50	5	the	the	DET
cana-1518	50	6	exact	exact	ADJ
cana-1518	50	7	solution	solution	NOUN
cana-1518	50	8	for	for	ADP
cana-1518	50	9	boundary	boundary	ADJ
cana-1518	50	10	layer	layer	NOUN
cana-1518	50	11	flow	flow	NOUN
cana-1518	50	12	of	of	ADP
cana-1518	50	13	a	a	DET
cana-1518	50	14	tangent	tangent	ADJ
cana-1518	50	15	hyperbolic	hyperbolic	ADJ
cana-1518	50	16	velocity	velocity	NOUN
cana-1518	50	17	over	over	ADP
cana-1518	50	18	a	a	DET
cana-1518	50	19	linearly	linearly	ADV
cana-1518	50	20	stretching	stretch	VERB
cana-1518	50	21	sheet	sheet	NOUN
cana-1518	50	22	and	and	CCONJ
cana-1518	50	23	this	this	DET
cana-1518	50	24	study	study	NOUN
cana-1518	50	25	became	become	VERB
cana-1518	50	26	an	an	DET
cana-1518	50	27	epochal	epochal	ADJ
cana-1518	50	28	reference	reference	NOUN
cana-1518	50	29	in	in	ADP
cana-1518	50	30	dealing	deal	VERB
cana-1518	50	31	with	with	ADP
cana-1518	50	32	stretching	stretch	VERB
cana-1518	50	33	sheet	sheet	NOUN
cana-1518	50	34	problems	problem	NOUN
cana-1518	50	35	.	.	PUNCT
cana-1518	51	1	the	the	DET
cana-1518	51	2	inclusion	inclusion	NOUN
cana-1518	51	3	of	of	ADP
cana-1518	51	4	stretching	stretch	VERB
cana-1518	51	5	surfaces	surface	NOUN
cana-1518	51	6	in	in	ADP
cana-1518	51	7	these	these	DET
cana-1518	51	8	studies	study	NOUN
cana-1518	51	9	had	have	AUX
cana-1518	51	10	laid	lay	VERB
cana-1518	51	11	foundation	foundation	NOUN
cana-1518	51	12	for	for	ADP
cana-1518	51	13	exploring	explore	VERB
cana-1518	51	14	the	the	DET
cana-1518	51	15	fluid	fluid	ADJ
cana-1518	51	16	dynamics	dynamic	NOUN
cana-1518	51	17	and	and	CCONJ
cana-1518	51	18	heat	heat	NOUN
cana-1518	51	19	transfer	transfer	NOUN
cana-1518	51	20	path	path	NOUN
cana-1518	51	21	which	which	PRON
cana-1518	51	22	improvised	improvise	VERB
cana-1518	51	23	equations	equation	NOUN
cana-1518	51	24	over	over	ADP
cana-1518	51	25	a	a	DET
cana-1518	51	26	wide	wide	ADJ
cana-1518	51	27	range	range	NOUN
cana-1518	51	28	then	then	ADV
cana-1518	51	29	serve	serve	VERB
cana-1518	51	30	models	model	NOUN
cana-1518	51	31	better	well	ADJ
cana-1518	51	32	predictability	predictability	NOUN
cana-1518	51	33	in	in	ADP
cana-1518	51	34	several	several	ADJ
cana-1518	51	35	industrial	industrial	ADJ
cana-1518	51	36	applications	application	NOUN
cana-1518	51	37	.	.	PUNCT
cana-1518	52	1	in	in	ADP
cana-1518	52	2	contrast	contrast	NOUN
cana-1518	52	3	,	,	PUNCT
cana-1518	52	4	miklavcic	miklavcic	NOUN
cana-1518	52	5	and	and	CCONJ
cana-1518	52	6	wang	wang	PROPN
cana-1518	52	7	(	(	PUNCT
cana-1518	52	8	2006	2006	NUM
cana-1518	52	9	)	)	PUNCT
cana-1518	52	10	considered	consider	VERB
cana-1518	52	11	shrinking	shrink	VERB
cana-1518	52	12	surfaces	surface	NOUN
cana-1518	52	13	involving	involve	VERB
cana-1518	52	14	a	a	DET
cana-1518	52	15	backward	backward	ADJ
cana-1518	52	16	flow	flow	NOUN
cana-1518	52	17	of	of	ADP
cana-1518	52	18	fluid	fluid	NOUN
cana-1518	52	19	.	.	PUNCT
cana-1518	53	1	backward	backward	ADJ
cana-1518	53	2	flow	flow	NOUN
cana-1518	53	3	and	and	CCONJ
cana-1518	53	4	suction	suction	NOUN
cana-1518	53	5	effects	effect	NOUN
cana-1518	53	6	,	,	PUNCT
cana-1518	53	7	which	which	PRON
cana-1518	53	8	do	do	AUX
cana-1518	53	9	not	not	PART
cana-1518	53	10	exist	exist	VERB
cana-1518	53	11	in	in	ADP
cana-1518	53	12	stretching	stretch	VERB
cana-1518	53	13	surfaces	surface	NOUN
cana-1518	53	14	were	be	AUX
cana-1518	53	15	emphasized	emphasize	VERB
cana-1518	53	16	to	to	PART
cana-1518	53	17	be	be	AUX
cana-1518	53	18	complicated	complicate	VERB
cana-1518	53	19	.	.	PUNCT
cana-1518	54	1	in	in	ADP
cana-1518	54	2	conjunction	conjunction	NOUN
cana-1518	54	3	with	with	ADP
cana-1518	54	4	subsequent	subsequent	ADJ
cana-1518	54	5	investigations	investigation	NOUN
cana-1518	54	6	by	by	ADP
cana-1518	54	7	wang	wang	PROPN
cana-1518	54	8	(	(	PUNCT
cana-1518	54	9	2008	2008	NUM
cana-1518	54	10	)	)	PUNCT
cana-1518	54	11	their	their	PRON
cana-1518	54	12	work	work	NOUN
cana-1518	54	13	has	have	AUX
cana-1518	54	14	lead	lead	VERB
cana-1518	54	15	to	to	ADP
cana-1518	54	16	a	a	DET
cana-1518	54	17	broader	broad	ADJ
cana-1518	54	18	understanding	understanding	NOUN
cana-1518	54	19	of	of	ADP
cana-1518	54	20	shrinking	shrink	VERB
cana-1518	54	21	sheet	sheet	NOUN
cana-1518	54	22	dynamics	dynamic	NOUN
cana-1518	54	23	,	,	PUNCT
cana-1518	54	24	particularly	particularly	ADV
cana-1518	54	25	as	as	SCONJ
cana-1518	54	26	they	they	PRON
cana-1518	54	27	pertain	pertain	VERB
cana-1518	54	28	to	to	ADP
cana-1518	54	29	flows	flow	NOUN
cana-1518	54	30	that	that	PRON
cana-1518	54	31	are	be	AUX
cana-1518	54	32	highly	highly	ADV
cana-1518	54	33	relevant	relevant	ADJ
cana-1518	54	34	for	for	ADP
cana-1518	54	35	practical	practical	ADJ
cana-1518	54	36	applications	application	NOUN
cana-1518	54	37	involving	involve	VERB
cana-1518	54	38	such	such	ADJ
cana-1518	54	39	flows	flow	NOUN
cana-1518	54	40	in	in	ADP
cana-1518	54	41	the	the	DET
cana-1518	54	42	design	design	NOUN
cana-1518	54	43	and	and	CCONJ
cana-1518	54	44	operation	operation	NOUN
cana-1518	54	45	of	of	ADP
cana-1518	54	46	microfluidic	microfluidic	ADJ
cana-1518	54	47	devices	device	NOUN
cana-1518	54	48	or	or	CCONJ
cana-1518	54	49	coating	coating	NOUN
cana-1518	54	50	technology	technology	NOUN
cana-1518	54	51	.	.	PUNCT
cana-1518	55	1	this	this	PRON
cana-1518	55	2	is	be	AUX
cana-1518	55	3	highly	highly	ADV
cana-1518	55	4	important	important	ADJ
cana-1518	55	5	for	for	ADP
cana-1518	55	6	fluid	fluid	ADJ
cana-1518	55	7	dynamics	dynamic	NOUN
cana-1518	55	8	,	,	PUNCT
cana-1518	55	9	particularly	particularly	ADV
cana-1518	55	10	when	when	SCONJ
cana-1518	55	11	we	we	PRON
cana-1518	55	12	're	be	AUX
cana-1518	55	13	considering	consider	VERB
cana-1518	55	14	electrically	electrically	ADV
cana-1518	55	15	conducting	conduct	VERB
cana-1518	55	16	fluids	fluid	NOUN
cana-1518	55	17	–	–	PUNCT
cana-1518	55	18	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1518	55	19	(	(	PUNCT
cana-1518	55	20	mhd	mhd	NOUN
cana-1518	55	21	)	)	PUNCT
cana-1518	55	22	.	.	PUNCT
cana-1518	56	1	the	the	DET
cana-1518	56	2	flow	flow	NOUN
cana-1518	56	3	nature	nature	NOUN
cana-1518	56	4	and	and	CCONJ
cana-1518	56	5	approach	approach	NOUN
cana-1518	56	6	to	to	ADP
cana-1518	56	7	heat	heat	NOUN
cana-1518	56	8	transfer	transfer	NOUN
cana-1518	56	9	can	can	AUX
cana-1518	56	10	change	change	VERB
cana-1518	56	11	drastically	drastically	ADV
cana-1518	56	12	based	base	VERB
cana-1518	56	13	on	on	ADP
cana-1518	56	14	the	the	DET
cana-1518	56	15	interaction	interaction	NOUN
cana-1518	56	16	between	between	ADP
cana-1518	56	17	magnetic	magnetic	ADJ
cana-1518	56	18	fields	field	NOUN
cana-1518	56	19	with	with	ADP
cana-1518	56	20	these	these	DET
cana-1518	56	21	fluids	fluid	NOUN
cana-1518	56	22	.	.	PUNCT
cana-1518	57	1	1974	1974	NUM
cana-1518	57	2	pavlov	pavlov	PROPN
cana-1518	57	3	was	be	AUX
cana-1518	57	4	one	one	NUM
cana-1518	57	5	of	of	ADP
cana-1518	57	6	the	the	DET
cana-1518	57	7	first	first	ADJ
cana-1518	57	8	to	to	PART
cana-1518	57	9	consider	consider	VERB
cana-1518	57	10	mhd	mhd	VERB
cana-1518	57	11	flow	flow	NOUN
cana-1518	57	12	over	over	ADP
cana-1518	57	13	a	a	DET
cana-1518	57	14	stretching	stretch	VERB
cana-1518	57	15	surface	surface	NOUN
cana-1518	57	16	and	and	CCONJ
cana-1518	57	17	he	he	PRON
cana-1518	57	18	showed	show	VERB
cana-1518	57	19	analytic	analytic	ADJ
cana-1518	57	20	solution	solution	NOUN
cana-1518	57	21	for	for	ADP
cana-1518	57	22	effect	effect	NOUN
cana-1518	57	23	of	of	ADP
cana-1518	57	24	magnetic	magnetic	ADJ
cana-1518	57	25	field	field	NOUN
cana-1518	57	26	on	on	ADP
cana-1518	57	27	fluid	fluid	ADJ
cana-1518	57	28	velocity	velocity	NOUN
cana-1518	57	29	and	and	CCONJ
cana-1518	57	30	temperature	temperature	NOUN
cana-1518	57	31	rates	rate	NOUN
cana-1518	57	32	.	.	PUNCT
cana-1518	58	1	gupta	gupta	NOUN
cana-1518	58	2	and	and	CCONJ
cana-1518	58	3	gupta	gupta	PROPN
cana-1518	58	4	supplement	supplement	VERB
cana-1518	58	5	this	this	DET
cana-1518	58	6	existing	exist	VERB
cana-1518	58	7	work	work	NOUN
cana-1518	58	8	by	by	ADP
cana-1518	58	9	considering	consider	VERB
cana-1518	58	10	the	the	DET
cana-1518	58	11	interacting	interact	VERB
cana-1518	58	12	influence	influence	NOUN
cana-1518	58	13	of	of	ADP
cana-1518	58	14	magnetic	magnetic	ADJ
cana-1518	58	15	field	field	NOUN
cana-1518	58	16	parallelled	parallel	VERB
cana-1518	58	17	or	or	CCONJ
cana-1518	58	18	opposed	oppose	VERB
cana-1518	58	19	to	to	PART
cana-1518	58	20	flow	flow	VERB
cana-1518	58	21	,	,	PUNCT
cana-1518	58	22	suction	suction	NOUN
cana-1518	58	23	and	and	CCONJ
cana-1518	58	24	injection	injection	NOUN
cana-1518	58	25	on	on	ADP
cana-1518	58	26	boundary	boundary	ADJ
cana-1518	58	27	layer	layer	NOUN
cana-1518	58	28	flows	flow	NOUN
cana-1518	58	29	(	(	PUNCT
cana-1518	58	30	1977	1977	NUM
cana-1518	58	31	)	)	PUNCT
cana-1518	58	32	.	.	PUNCT
cana-1518	59	1	their	their	PRON
cana-1518	59	2	discovery	discovery	NOUN
cana-1518	59	3	helped	help	VERB
cana-1518	59	4	us	we	PRON
cana-1518	59	5	to	to	PART
cana-1518	59	6	learn	learn	VERB
cana-1518	59	7	something	something	PRON
cana-1518	59	8	new	new	ADJ
cana-1518	59	9	about	about	ADP
cana-1518	59	10	the	the	DET
cana-1518	59	11	manipulation	manipulation	NOUN
cana-1518	59	12	of	of	ADP
cana-1518	59	13	magnetic	magnetic	ADJ
cana-1518	59	14	fields	field	NOUN
cana-1518	59	15	for	for	ADP
cana-1518	59	16	more	more	ADJ
cana-1518	59	17	cost	cost	NOUN
cana-1518	59	18	-	-	PUNCT
cana-1518	59	19	effective	effective	ADJ
cana-1518	59	20	heat	heat	NOUN
cana-1518	59	21	transfer	transfer	NOUN
cana-1518	59	22	in	in	ADP
cana-1518	59	23	industrial	industrial	ADJ
cana-1518	59	24	processes	process	NOUN
cana-1518	59	25	.	.	PUNCT
cana-1518	60	1	recent	recent	ADJ
cana-1518	60	2	development	development	NOUN
cana-1518	60	3	in	in	ADP
cana-1518	60	4	mhd	mhd	PROPN
cana-1518	60	5	boundary	boundary	ADJ
cana-1518	60	6	layer	layer	NOUN
cana-1518	60	7	flow	flow	NOUN
cana-1518	60	8	has	have	AUX
cana-1518	60	9	concentrated	concentrate	VERB
cana-1518	60	10	on	on	ADP
cana-1518	60	11	factors	factor	NOUN
cana-1518	60	12	like	like	ADP
cana-1518	60	13	variable	variable	ADJ
cana-1518	60	14	viscosity	viscosity	NOUN
cana-1518	60	15	and	and	CCONJ
cana-1518	60	16	thermal	thermal	ADJ
cana-1518	60	17	radiation	radiation	NOUN
cana-1518	60	18	effect	effect	NOUN
cana-1518	60	19	as	as	ADP
cana-1518	60	20	a	a	DET
cana-1518	60	21	way	way	NOUN
cana-1518	60	22	of	of	ADP
cana-1518	60	23	making	make	VERB
cana-1518	60	24	the	the	DET
cana-1518	60	25	models	model	NOUN
cana-1518	60	26	to	to	ADP
cana-1518	60	27	more	more	ADV
cana-1518	60	28	authentic	authentic	ADJ
cana-1518	60	29	relative	relative	NOUN
cana-1518	60	30	to	to	PART
cana-1518	60	31	flow	flow	VERB
cana-1518	60	32	situations	situation	NOUN
cana-1518	60	33	involving	involve	VERB
cana-1518	60	34	magnetic	magnetic	ADJ
cana-1518	60	35	field	field	NOUN
cana-1518	60	36	intensity	intensity	NOUN
cana-1518	60	37	impacts	impact	NOUN
cana-1518	60	38	.	.	PUNCT
cana-1518	61	1	this	this	PRON
cana-1518	61	2	is	be	AUX
cana-1518	61	3	significant	significant	ADJ
cana-1518	61	4	in	in	ADP
cana-1518	61	5	the	the	DET
cana-1518	61	6	case	case	NOUN
cana-1518	61	7	of	of	ADP
cana-1518	61	8	advanced	advanced	ADJ
cana-1518	61	9	technologies	technology	NOUN
cana-1518	61	10	like	like	ADP
cana-1518	61	11	mhd	mhd	PROPN
cana-1518	61	12	generators	generator	NOUN
cana-1518	61	13	,	,	PUNCT
cana-1518	61	14	electromagnetic	electromagnetic	ADJ
cana-1518	61	15	pumps	pump	NOUN
cana-1518	61	16	and	and	CCONJ
cana-1518	61	17	the	the	DET
cana-1518	61	18	cooling	cool	VERB
cana-1518	61	19	systems	system	NOUN
cana-1518	61	20	used	use	VERB
cana-1518	61	21	for	for	ADP
cana-1518	61	22	nuclear	nuclear	ADJ
cana-1518	61	23	reactors	reactor	NOUN
cana-1518	61	24	.	.	PUNCT
cana-1518	62	1	the	the	DET
cana-1518	62	2	generation	generation	NOUN
cana-1518	62	3	of	of	ADP
cana-1518	62	4	thermal	thermal	ADJ
cana-1518	62	5	energy	energy	NOUN
cana-1518	62	6	due	due	ADP
cana-1518	62	7	to	to	ADP
cana-1518	62	8	fluid	fluid	ADJ
cana-1518	62	9	viscosity	viscosity	NOUN
cana-1518	62	10	,	,	PUNCT
cana-1518	62	11	viscous	viscous	ADJ
cana-1518	62	12	dissipation	dissipation	NOUN
cana-1518	62	13	has	have	AUX
cana-1518	62	14	been	be	AUX
cana-1518	62	15	considered	consider	VERB
cana-1518	62	16	as	as	ADP
cana-1518	62	17	an	an	DET
cana-1518	62	18	essential	essential	ADJ
cana-1518	62	19	heat	heat	NOUN
cana-1518	62	20	transfer	transfer	NOUN
cana-1518	62	21	criterion	criterion	NOUN
cana-1518	62	22	at	at	ADP
cana-1518	62	23	high	high	ADJ
cana-1518	62	24	temperature	temperature	NOUN
cana-1518	62	25	conditioning	conditioning	NOUN
cana-1518	62	26	operations	operation	NOUN
cana-1518	62	27	.	.	PUNCT
cana-1518	63	1	the	the	DET
cana-1518	63	2	foundation	foundation	NOUN
cana-1518	63	3	of	of	ADP
cana-1518	63	4	communications	communication	NOUN
cana-1518	63	5	on	on	ADP
cana-1518	63	6	applied	apply	VERB
cana-1518	63	7	nonlinear	nonlinear	ADJ
cana-1518	63	8	analysis	analysis	NOUN
cana-1518	63	9	issn	issn	NOUN
cana-1518	63	10	:	:	PUNCT
cana-1518	63	11	1074	1074	NUM
cana-1518	63	12	-	-	PUNCT
cana-1518	63	13	133x	133x	NUM
cana-1518	63	14	vol	vol	NOUN
cana-1518	63	15	31	31	NUM
cana-1518	63	16	no	no	NOUN
cana-1518	63	17	.	.	PUNCT
cana-1518	64	1	8s	8s	PROPN
cana-1518	64	2	(	(	PUNCT
cana-1518	64	3	2024	2024	NUM
cana-1518	64	4	)	)	PUNCT
cana-1518	64	5	379	379	NUM
cana-1518	64	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	64	7	understanding	understand	VERB
cana-1518	64	8	the	the	DET
cana-1518	64	9	impact	impact	NOUN
cana-1518	64	10	of	of	ADP
cana-1518	64	11	viscous	viscous	ADJ
cana-1518	64	12	dissipation	dissipation	NOUN
cana-1518	64	13	on	on	ADP
cana-1518	64	14	boundary	boundary	ADJ
cana-1518	64	15	layer	layer	NOUN
cana-1518	64	16	flows	flow	NOUN
cana-1518	64	17	was	be	AUX
cana-1518	64	18	laid	lay	VERB
cana-1518	64	19	by	by	ADP
cana-1518	64	20	pohlhausen	pohlhausen	PROPN
cana-1518	64	21	(	(	PUNCT
cana-1518	64	22	1921	1921	NUM
cana-1518	64	23	)	)	PUNCT
cana-1518	64	24	in	in	ADP
cana-1518	64	25	an	an	DET
cana-1518	64	26	initial	initial	ADJ
cana-1518	64	27	analysis	analysis	NOUN
cana-1518	64	28	.	.	PUNCT
cana-1518	65	1	this	this	DET
cana-1518	65	2	phenomenon	phenomenon	NOUN
cana-1518	65	3	was	be	AUX
cana-1518	65	4	further	far	ADV
cana-1518	65	5	studied	study	VERB
cana-1518	65	6	in	in	ADP
cana-1518	65	7	detail	detail	NOUN
cana-1518	65	8	by	by	ADP
cana-1518	65	9	gebhart	gebhart	NOUN
cana-1518	65	10	[	[	X
cana-1518	65	11	1	1	NUM
cana-1518	65	12	]	]	PUNCT
cana-1518	65	13	(	(	PUNCT
cana-1518	65	14	1962	1962	NUM
cana-1518	65	15	)	)	PUNCT
cana-1518	65	16	for	for	ADP
cana-1518	65	17	natural	natural	ADJ
cana-1518	65	18	convection	convection	NOUN
cana-1518	65	19	flow	flow	NOUN
cana-1518	65	20	and	and	CCONJ
cana-1518	65	21	its	its	PRON
cana-1518	65	22	applications	application	NOUN
cana-1518	65	23	are	be	AUX
cana-1518	65	24	significant	significant	ADJ
cana-1518	65	25	of	of	ADP
cana-1518	65	26	interest	interest	NOUN
cana-1518	65	27	to	to	ADP
cana-1518	65	28	both	both	DET
cana-1518	65	29	the	the	DET
cana-1518	65	30	scientist	scientist	NOUN
cana-1518	65	31	as	as	ADV
cana-1518	65	32	well	well	ADV
cana-1518	65	33	as	as	ADP
cana-1518	65	34	engineers	engineer	NOUN
cana-1518	65	35	from	from	ADP
cana-1518	65	36	academic	academic	ADJ
cana-1518	65	37	view	view	NOUN
cana-1518	65	38	point	point	NOUN
cana-1518	65	39	and	and	CCONJ
cana-1518	65	40	different	different	ADJ
cana-1518	65	41	engineering	engineering	NOUN
cana-1518	65	42	areas	area	NOUN
cana-1518	65	43	,	,	PUNCT
cana-1518	65	44	such	such	ADJ
cana-1518	65	45	designing	design	VERB
cana-1518	65	46	heat	heat	NOUN
cana-1518	65	47	exchangers	exchanger	NOUN
cana-1518	65	48	and	and	CCONJ
cana-1518	65	49	thermal	thermal	ADJ
cana-1518	65	50	insulating	insulating	NOUN
cana-1518	65	51	barriers	barrier	NOUN
cana-1518	65	52	.	.	PUNCT
cana-1518	66	1	in	in	ADP
cana-1518	66	2	the	the	DET
cana-1518	66	3	recent	recent	ADJ
cana-1518	66	4	years	year	NOUN
cana-1518	66	5	,	,	PUNCT
cana-1518	66	6	vajravelu	vajravelu	NOUN
cana-1518	66	7	and	and	CCONJ
cana-1518	66	8	hadjinicolaou	hadjinicolaou	NOUN
cana-1518	66	9	(	(	PUNCT
cana-1518	66	10	1993	1993	NUM
cana-1518	66	11	)	)	PUNCT
cana-1518	66	12	have	have	AUX
cana-1518	66	13	reported	report	VERB
cana-1518	66	14	on	on	ADP
cana-1518	66	15	a	a	DET
cana-1518	66	16	combined	combine	VERB
cana-1518	66	17	effect	effect	NOUN
cana-1518	66	18	of	of	ADP
cana-1518	66	19	viscous	viscous	ADJ
cana-1518	66	20	dissipation	dissipation	NOUN
cana-1518	66	21	and	and	CCONJ
cana-1518	66	22	internal	internal	ADJ
cana-1518	66	23	heat	heat	NOUN
cana-1518	66	24	generation	generation	NOUN
cana-1518	66	25	in	in	ADP
cana-1518	66	26	stretching	stretch	VERB
cana-1518	66	27	surfaces	surface	NOUN
cana-1518	66	28	,	,	PUNCT
cana-1518	66	29	revealing	reveal	VERB
cana-1518	66	30	critical	critical	ADJ
cana-1518	66	31	information	information	NOUN
cana-1518	66	32	regarding	regard	VERB
cana-1518	66	33	thermal	thermal	ADJ
cana-1518	66	34	investigation	investigation	NOUN
cana-1518	66	35	for	for	ADP
cana-1518	66	36	these	these	DET
cana-1518	66	37	systems	system	NOUN
cana-1518	66	38	.	.	PUNCT
cana-1518	67	1	their	their	PRON
cana-1518	67	2	results	result	NOUN
cana-1518	67	3	have	have	VERB
cana-1518	67	4	broader	broad	ADJ
cana-1518	67	5	implications	implication	NOUN
cana-1518	67	6	for	for	ADP
cana-1518	67	7	controlling	control	VERB
cana-1518	67	8	heat	heat	NOUN
cana-1518	67	9	transfer	transfer	NOUN
cana-1518	67	10	in	in	ADP
cana-1518	67	11	cases	case	NOUN
cana-1518	67	12	where	where	SCONJ
cana-1518	67	13	both	both	DET
cana-1518	67	14	viscous	viscous	ADJ
cana-1518	67	15	dissipation	dissipation	NOUN
cana-1518	67	16	and	and	CCONJ
cana-1518	67	17	internal	internal	ADJ
cana-1518	67	18	heating	heating	NOUN
cana-1518	67	19	are	be	AUX
cana-1518	67	20	important	important	ADJ
cana-1518	67	21	,	,	PUNCT
cana-1518	67	22	as	as	SCONJ
cana-1518	67	23	occurs	occur	VERB
cana-1518	67	24	during	during	ADP
cana-1518	67	25	electronic	electronic	ADJ
cana-1518	67	26	device	device	NOUN
cana-1518	67	27	cooling	cool	VERB
cana-1518	67	28	or	or	CCONJ
cana-1518	67	29	the	the	DET
cana-1518	67	30	processing	processing	NOUN
cana-1518	67	31	of	of	ADP
cana-1518	67	32	highviscosity	highviscosity	NOUN
cana-1518	67	33	materials	material	NOUN
cana-1518	67	34	.	.	PUNCT
cana-1518	68	1	darcy	darcy	PROPN
cana-1518	68	2	(	(	PUNCT
cana-1518	68	3	1856	1856	NUM
cana-1518	68	4	)	)	PUNCT
cana-1518	68	5	introduced	introduce	VERB
cana-1518	68	6	the	the	DET
cana-1518	68	7	fundamental	fundamental	ADJ
cana-1518	68	8	model	model	NOUN
cana-1518	68	9	for	for	ADP
cana-1518	68	10	flow	flow	NOUN
cana-1518	68	11	through	through	ADP
cana-1518	68	12	porous	porous	ADJ
cana-1518	68	13	media	medium	NOUN
cana-1518	68	14	,	,	PUNCT
cana-1518	68	15	and	and	CCONJ
cana-1518	68	16	the	the	DET
cana-1518	68	17	study	study	NOUN
cana-1518	68	18	of	of	ADP
cana-1518	68	19	fluid	fluid	ADJ
cana-1518	68	20	flow	flow	NOUN
cana-1518	68	21	in	in	ADP
cana-1518	68	22	a	a	DET
cana-1518	68	23	porous	porous	ADJ
cana-1518	68	24	medium	medium	NOUN
cana-1518	68	25	has	have	AUX
cana-1518	68	26	developed	develop	VERB
cana-1518	68	27	dramatically	dramatically	ADV
cana-1518	68	28	since	since	SCONJ
cana-1518	68	29	his	his	PRON
cana-1518	68	30	classic	classic	ADJ
cana-1518	68	31	work	work	NOUN
cana-1518	68	32	.	.	PUNCT
cana-1518	69	1	this	this	PRON
cana-1518	69	2	has	have	AUX
cana-1518	69	3	been	be	AUX
cana-1518	69	4	extended	extend	VERB
cana-1518	69	5	to	to	PART
cana-1518	69	6	include	include	VERB
cana-1518	69	7	inertial	inertial	ADJ
cana-1518	69	8	forces	force	NOUN
cana-1518	69	9	and	and	CCONJ
cana-1518	69	10	the	the	DET
cana-1518	69	11	non	non	ADJ
cana-1518	69	12	-	-	ADJ
cana-1518	69	13	linear	linear	ADJ
cana-1518	69	14	flow	flow	NOUN
cana-1518	69	15	resistance	resistance	NOUN
cana-1518	69	16	in	in	ADP
cana-1518	69	17	the	the	DET
cana-1518	69	18	form	form	NOUN
cana-1518	69	19	of	of	ADP
cana-1518	69	20	darcyforchheimer	darcyforchheimer	NOUN
cana-1518	69	21	model	model	NOUN
cana-1518	69	22	by	by	ADP
cana-1518	69	23	some	some	DET
cana-1518	69	24	researchers	researcher	NOUN
cana-1518	69	25	.	.	PUNCT
cana-1518	70	1	the	the	DET
cana-1518	70	2	problem	problem	NOUN
cana-1518	70	3	of	of	ADP
cana-1518	70	4	a	a	DET
cana-1518	70	5	fluid	fluid	NOUN
cana-1518	70	6	flowing	flow	VERB
cana-1518	70	7	through	through	ADP
cana-1518	70	8	porous	porous	ADJ
cana-1518	70	9	media	medium	NOUN
cana-1518	70	10	is	be	AUX
cana-1518	70	11	primarily	primarily	ADV
cana-1518	70	12	an	an	DET
cana-1518	70	13	issue	issue	NOUN
cana-1518	70	14	in	in	ADP
cana-1518	70	15	the	the	DET
cana-1518	70	16	industries	industry	NOUN
cana-1518	70	17	such	such	ADJ
cana-1518	70	18	as	as	ADP
cana-1518	70	19	petroleum	petroleum	NOUN
cana-1518	70	20	engineering	engineering	NOUN
cana-1518	70	21	,	,	PUNCT
cana-1518	70	22	chemical	chemical	NOUN
cana-1518	70	23	processing	processing	NOUN
cana-1518	70	24	and	and	CCONJ
cana-1518	70	25	environmental	environmental	ADJ
cana-1518	70	26	engineering	engineering	NOUN
cana-1518	70	27	.	.	PUNCT
cana-1518	71	1	naturally	naturally	ADV
cana-1518	71	2	combined	combine	VERB
cana-1518	71	3	convection	convection	NOUN
cana-1518	71	4	in	in	ADP
cana-1518	71	5	porous	porous	ADJ
cana-1518	71	6	media	medium	NOUN
cana-1518	71	7	had	have	AUX
cana-1518	71	8	been	be	AUX
cana-1518	71	9	studied	study	VERB
cana-1518	71	10	by	by	ADP
cana-1518	71	11	cheng	cheng	PROPN
cana-1518	71	12	and	and	CCONJ
cana-1518	71	13	minkowycz	minkowycz	NOUN
cana-1518	71	14	(	(	PUNCT
cana-1518	71	15	1977	1977	NUM
cana-1518	71	16	)	)	PUNCT
cana-1518	71	17	and	and	CCONJ
cana-1518	71	18	bejan	bejan	VERB
cana-1518	71	19	et	et	PROPN
cana-1518	71	20	al	al	PROPN
cana-1518	71	21	.	.	PROPN
cana-1518	71	22	merged	merge	VERB
cana-1518	71	23	surface	surface	NOUN
cana-1518	71	24	suction	suction	NOUN
cana-1518	71	25	/	/	SYM
cana-1518	71	26	injection	injection	NOUN
cana-1518	71	27	on	on	ADP
cana-1518	71	28	boundary	boundary	ADJ
cana-1518	71	29	-	-	PUNCT
cana-1518	71	30	layer	layer	NOUN
cana-1518	71	31	flows	flow	VERB
cana-1518	72	1	[	[	X
cana-1518	72	2	17	17	NUM
cana-1518	72	3	]	]	PUNCT
cana-1518	72	4	.	.	PUNCT
cana-1518	73	1	importantly	importantly	ADV
cana-1518	73	2	,	,	PUNCT
cana-1518	73	3	it	it	PRON
cana-1518	73	4	has	have	AUX
cana-1518	73	5	been	be	AUX
cana-1518	73	6	demonstrated	demonstrate	VERB
cana-1518	73	7	that	that	SCONJ
cana-1518	73	8	the	the	DET
cana-1518	73	9	use	use	NOUN
cana-1518	73	10	of	of	ADP
cana-1518	73	11	porous	porous	ADJ
cana-1518	73	12	media	medium	NOUN
cana-1518	73	13	or	or	CCONJ
cana-1518	73	14	surface	surface	NOUN
cana-1518	73	15	engineering	engineering	NOUN
cana-1518	73	16	can	can	AUX
cana-1518	73	17	modulate	modulate	VERB
cana-1518	73	18	boundary	boundary	ADJ
cana-1518	73	19	layer	layer	NOUN
cana-1518	73	20	thickness	thickness	NOUN
cana-1518	73	21	and	and	CCONJ
cana-1518	73	22	heat	heat	NOUN
cana-1518	73	23	transfer	transfer	NOUN
cana-1518	73	24	rates	rate	NOUN
cana-1518	73	25	to	to	PART
cana-1518	73	26	optimize	optimize	VERB
cana-1518	73	27	processes	process	NOUN
cana-1518	73	28	such	such	ADJ
cana-1518	73	29	as	as	ADP
cana-1518	73	30	filtration58	filtration58	ADJ
cana-1518	73	31	,	,	PUNCT
cana-1518	73	32	catalysis41	catalysis41	NOUN
cana-1518	73	33	and	and	CCONJ
cana-1518	73	34	thermal	thermal	ADJ
cana-1518	73	35	insulation40	insulation40	NOUN
cana-1518	73	36	.	.	PUNCT
cana-1518	74	1	from	from	ADP
cana-1518	74	2	the	the	DET
cana-1518	74	3	industrial	industrial	ADJ
cana-1518	74	4	point	point	NOUN
cana-1518	74	5	of	of	ADP
cana-1518	74	6	view	view	NOUN
cana-1518	74	7	,	,	PUNCT
cana-1518	74	8	in	in	ADP
cana-1518	74	9	several	several	ADJ
cana-1518	74	10	areas	area	NOUN
cana-1518	74	11	chemical	chemical	ADJ
cana-1518	74	12	reactions	reaction	NOUN
cana-1518	74	13	as	as	ADV
cana-1518	74	14	well	well	ADV
cana-1518	74	15	heat	heat	NOUN
cana-1518	74	16	and	and	CCONJ
cana-1518	74	17	mass	mass	NOUN
cana-1518	74	18	transfer	transfer	NOUN
cana-1518	74	19	rates	rate	NOUN
cana-1518	74	20	play	play	VERB
cana-1518	74	21	a	a	DET
cana-1518	74	22	leading	lead	VERB
cana-1518	74	23	role	role	NOUN
cana-1518	74	24	.	.	PUNCT
cana-1518	75	1	this	this	PRON
cana-1518	75	2	is	be	AUX
cana-1518	75	3	something	something	PRON
cana-1518	75	4	quite	quite	ADV
cana-1518	75	5	complex	complex	ADJ
cana-1518	75	6	that	that	PRON
cana-1518	75	7	needs	need	VERB
cana-1518	75	8	to	to	PART
cana-1518	75	9	be	be	AUX
cana-1518	75	10	well	well	ADV
cana-1518	75	11	-	-	PUNCT
cana-1518	75	12	taken	take	VERB
cana-1518	75	13	into	into	ADP
cana-1518	75	14	account	account	NOUN
cana-1518	75	15	in	in	ADP
cana-1518	75	16	resource	resource	NOUN
cana-1518	75	17	plans	plan	NOUN
cana-1518	75	18	and	and	CCONJ
cana-1518	75	19	chemical	chemical	NOUN
cana-1518	75	20	plant	plant	NOUN
cana-1518	75	21	optimization	optimization	NOUN
cana-1518	75	22	.	.	PUNCT
cana-1518	76	1	the	the	DET
cana-1518	76	2	work	work	NOUN
cana-1518	76	3	of	of	ADP
cana-1518	76	4	chaudhary	chaudhary	PROPN
cana-1518	76	5	and	and	CCONJ
cana-1518	76	6	merkin	merkin	PROPN
cana-1518	76	7	(	(	PUNCT
cana-1518	76	8	1995	1995	NUM
cana-1518	76	9	)	)	PUNCT
cana-1518	76	10	on	on	ADP
cana-1518	76	11	the	the	DET
cana-1518	76	12	boundary	boundary	ADJ
cana-1518	76	13	layer	layer	NOUN
cana-1518	76	14	flow	flow	VERB
cana-1518	76	15	over	over	ADP
cana-1518	76	16	a	a	DET
cana-1518	76	17	stretching	stretch	VERB
cana-1518	76	18	sheet	sheet	NOUN
cana-1518	76	19	with	with	ADP
cana-1518	76	20	chemical	chemical	ADJ
cana-1518	76	21	reactions	reaction	NOUN
cana-1518	76	22	in	in	ADP
cana-1518	76	23	shape	shape	NOUN
cana-1518	76	24	confines	confine	NOUN
cana-1518	76	25	first	first	ADJ
cana-1518	76	26	-	-	PUNCT
cana-1518	76	27	order	order	NOUN
cana-1518	76	28	response	response	NOUN
cana-1518	76	29	patterns	pattern	NOUN
cana-1518	76	30	,	,	PUNCT
cana-1518	76	31	consequently	consequently	ADV
cana-1518	76	32	designing	design	VERB
cana-1518	76	33	rapidly	rapidly	ADV
cana-1518	76	34	discussion	discussion	NOUN
cana-1518	76	35	to	to	ADP
cana-1518	76	36	warmth	warmth	NOUN
cana-1518	76	37	as	as	ADP
cana-1518	76	38	well	well	ADV
cana-1518	76	39	mass	mass	NOUN
cana-1518	76	40	exchange	exchange	NOUN
cana-1518	76	41	features	feature	NOUN
cana-1518	76	42	since	since	SCONJ
cana-1518	76	43	given	give	VERB
cana-1518	76	44	here	here	ADV
cana-1518	76	45	:	:	PUNCT
cana-1518	76	46	heat	heat	NOUN
cana-1518	76	47	also	also	ADV
cana-1518	76	48	also	also	ADV
cana-1518	76	49	bulk	bulk	ADJ
cana-1518	76	50	facts	fact	NOUN
cana-1518	76	51	concerning	concern	VERB
cana-1518	76	52	reactive	reactive	ADJ
cana-1518	76	53	flows	flow	NOUN
cana-1518	76	54	.	.	PUNCT
cana-1518	77	1	in	in	ADP
cana-1518	77	2	follow	follow	VERB
cana-1518	77	3	-	-	PUNCT
cana-1518	77	4	up	up	ADP
cana-1518	77	5	studies	study	NOUN
cana-1518	77	6	,	,	PUNCT
cana-1518	77	7	with	with	ADP
cana-1518	77	8	help	help	NOUN
cana-1518	77	9	for	for	ADP
cana-1518	77	10	instance	instance	NOUN
cana-1518	77	11	by	by	ADP
cana-1518	77	12	khan	khan	PROPN
cana-1518	77	13	and	and	CCONJ
cana-1518	77	14	pop	pop	NOUN
cana-1518	77	15	(	(	PUNCT
cana-1518	77	16	2010	2010	NUM
cana-1518	77	17	)	)	PUNCT
cana-1518	77	18	,	,	PUNCT
cana-1518	77	19	these	these	DET
cana-1518	77	20	works	work	NOUN
cana-1518	77	21	are	be	AUX
cana-1518	77	22	extended	extend	VERB
cana-1518	77	23	to	to	ADP
cana-1518	77	24	the	the	DET
cana-1518	77	25	nanofluids	nanofluid	NOUN
cana-1518	77	26	of	of	ADP
cana-1518	77	27	chemical	chemical	ADJ
cana-1518	77	28	reactions	reaction	NOUN
cana-1518	77	29	coupled	couple	VERB
cana-1518	77	30	with	with	ADP
cana-1518	77	31	magnetic	magnetic	ADJ
cana-1518	77	32	field	field	NOUN
cana-1518	77	33	effects	effect	NOUN
cana-1518	77	34	.	.	PUNCT
cana-1518	78	1	in	in	ADP
cana-1518	78	2	specific	specific	ADJ
cana-1518	78	3	areas	area	NOUN
cana-1518	78	4	such	such	ADJ
cana-1518	78	5	as	as	ADP
cana-1518	78	6	the	the	DET
cana-1518	78	7	development	development	NOUN
cana-1518	78	8	of	of	ADP
cana-1518	78	9	advanced	advanced	ADJ
cana-1518	78	10	materials	material	NOUN
cana-1518	78	11	and	and	CCONJ
cana-1518	78	12	processes	process	NOUN
cana-1518	78	13	including	include	VERB
cana-1518	78	14	,	,	PUNCT
cana-1518	78	15	say	say	VERB
cana-1518	78	16	nanoparticle	nanoparticle	NOUN
cana-1518	78	17	synthesis	synthesis	NOUN
cana-1518	78	18	,	,	PUNCT
cana-1518	78	19	chemical	chemical	ADJ
cana-1518	78	20	reactors	reactor	NOUN
cana-1518	78	21	production	production	NOUN
cana-1518	78	22	&	&	CCONJ
cana-1518	78	23	catalytic	catalytic	ADJ
cana-1518	78	24	converters	converter	NOUN
cana-1518	78	25	designing	design	VERB
cana-1518	78	26	.	.	PUNCT
cana-1518	79	1	nanofluids	nanofluids	PROPN
cana-1518	79	2	,	,	PUNCT
cana-1518	79	3	or	or	CCONJ
cana-1518	79	4	suspensions	suspension	NOUN
cana-1518	79	5	of	of	ADP
cana-1518	79	6	nanoparticles	nanoparticle	NOUN
cana-1518	79	7	in	in	ADP
cana-1518	79	8	liquids	liquid	NOUN
cana-1518	79	9	,	,	PUNCT
cana-1518	79	10	are	be	AUX
cana-1518	79	11	a	a	DET
cana-1518	79	12	critical	critical	ADJ
cana-1518	79	13	development	development	NOUN
cana-1518	79	14	in	in	ADP
cana-1518	79	15	technology	technology	NOUN
cana-1518	79	16	with	with	ADP
cana-1518	79	17	applications	application	NOUN
cana-1518	79	18	to	to	PART
cana-1518	79	19	heat	heat	NOUN
cana-1518	79	20	transfer	transfer	NOUN
cana-1518	79	21	.	.	PUNCT
cana-1518	80	1	however	however	ADV
cana-1518	80	2	,	,	PUNCT
cana-1518	80	3	in	in	ADP
cana-1518	80	4	1995	1995	NUM
cana-1518	80	5	,	,	PUNCT
cana-1518	80	6	choi	choi	NOUN
cana-1518	80	7	introduced	introduce	VERB
cana-1518	80	8	a	a	DET
cana-1518	80	9	game	game	NOUN
cana-1518	80	10	-	-	PUNCT
cana-1518	80	11	changing	change	VERB
cana-1518	80	12	concept	concept	NOUN
cana-1518	80	13	with	with	ADP
cana-1518	80	14	the	the	DET
cana-1518	80	15	advent	advent	NOUN
cana-1518	80	16	of	of	ADP
cana-1518	80	17	nanofluids	nanofluid	NOUN
cana-1518	80	18	exhibiting	exhibit	VERB
cana-1518	80	19	significantly	significantly	ADV
cana-1518	80	20	higher	high	ADJ
cana-1518	80	21	thermal	thermal	ADJ
cana-1518	80	22	conductivity	conductivity	NOUN
cana-1518	80	23	than	than	ADP
cana-1518	80	24	traditional	traditional	ADJ
cana-1518	80	25	fluids	fluid	NOUN
cana-1518	80	26	—	—	PUNCT
cana-1518	80	27	an	an	DET
cana-1518	80	28	action	action	NOUN
cana-1518	80	29	that	that	PRON
cana-1518	80	30	founded	found	VERB
cana-1518	80	31	establishment	establishment	NOUN
cana-1518	80	32	on	on	ADP
cana-1518	80	33	heat	heat	NOUN
cana-1518	80	34	transfer	transfer	NOUN
cana-1518	80	35	characteristics	characteristic	NOUN
cana-1518	80	36	using	use	VERB
cana-1518	80	37	these	these	DET
cana-1518	80	38	novel	novel	ADJ
cana-1518	80	39	classes	class	NOUN
cana-1518	80	40	.	.	PUNCT
cana-1518	81	1	after	after	SCONJ
cana-1518	81	2	that	that	PRON
cana-1518	81	3	many	many	ADJ
cana-1518	81	4	researchers	researcher	NOUN
cana-1518	81	5	had	have	AUX
cana-1518	81	6	worked	work	VERB
cana-1518	81	7	on	on	ADP
cana-1518	81	8	this	this	DET
cana-1518	81	9	type	type	NOUN
cana-1518	81	10	of	of	ADP
cana-1518	81	11	subject	subject	NOUN
cana-1518	81	12	and	and	CCONJ
cana-1518	81	13	nanofluids	nanofluid	VERB
cana-1518	81	14	is	be	AUX
cana-1518	81	15	one	one	NUM
cana-1518	81	16	the	the	DET
cana-1518	81	17	major	major	ADJ
cana-1518	81	18	research	research	NOUN
cana-1518	81	19	areas	area	NOUN
cana-1518	81	20	now	now	ADV
cana-1518	81	21	with	with	ADP
cana-1518	81	22	a	a	DET
cana-1518	81	23	broad	broad	ADJ
cana-1518	81	24	range	range	NOUN
cana-1518	81	25	form	form	NOUN
cana-1518	81	26	electronic	electronic	ADJ
cana-1518	81	27	cooling	cooling	NOUN
cana-1518	81	28	to	to	ADP
cana-1518	81	29	biomedical	biomedical	ADJ
cana-1518	81	30	engineering	engineering	NOUN
cana-1518	82	1	[	[	X
cana-1518	82	2	2	2	NUM
cana-1518	82	3	]	]	PUNCT
cana-1518	82	4	.	.	PUNCT
cana-1518	83	1	studies	study	NOUN
cana-1518	83	2	by	by	ADP
cana-1518	83	3	eastman	eastman	PROPN
cana-1518	83	4	et	et	PROPN
cana-1518	83	5	al	al	PROPN
cana-1518	83	6	.	.	PROPN
cana-1518	83	7	(	(	PUNCT
cana-1518	83	8	1997	1997	NUM
cana-1518	83	9	)	)	PUNCT
cana-1518	83	10	and	and	CCONJ
cana-1518	83	11	wang	wang	PROPN
cana-1518	83	12	et	et	PROPN
cana-1518	83	13	al	al	PROPN
cana-1518	83	14	.	.	PROPN
cana-1518	83	15	(	(	PUNCT
cana-1518	83	16	2003	2003	NUM
cana-1518	83	17	)	)	PUNCT
cana-1518	83	18	showed	show	VERB
cana-1518	83	19	that	that	SCONJ
cana-1518	83	20	the	the	DET
cana-1518	83	21	use	use	NOUN
cana-1518	83	22	of	of	ADP
cana-1518	83	23	nanofluids	nanofluid	NOUN
cana-1518	83	24	could	could	AUX
cana-1518	83	25	be	be	AUX
cana-1518	83	26	a	a	DET
cana-1518	83	27	solution	solution	NOUN
cana-1518	83	28	for	for	ADP
cana-1518	83	29	improved	improved	ADJ
cana-1518	83	30	cooling	cool	VERB
cana-1518	83	31	performance	performance	NOUN
cana-1518	83	32	in	in	ADP
cana-1518	83	33	different	different	ADJ
cana-1518	83	34	types	type	NOUN
cana-1518	83	35	applications	application	NOUN
cana-1518	83	36	as	as	ADP
cana-1518	83	37	such	such	ADJ
cana-1518	83	38	electronic	electronic	ADJ
cana-1518	83	39	coolings	cooling	NOUN
cana-1518	83	40	and	and	CCONJ
cana-1518	83	41	heat	heat	NOUN
cana-1518	83	42	exchangers	exchanger	NOUN
cana-1518	83	43	.	.	PUNCT
cana-1518	84	1	in	in	ADP
cana-1518	84	2	their	their	PRON
cana-1518	84	3	paper	paper	NOUN
cana-1518	84	4	titled	title	VERB
cana-1518	84	5	'	'	PUNCT
cana-1518	84	6	convective	convective	ADJ
cana-1518	84	7	heat	heat	NOUN
cana-1518	84	8	transfer	transfer	NOUN
cana-1518	84	9	in	in	ADP
cana-1518	84	10	nanofluids	nanofluid	NOUN
cana-1518	84	11	under	under	ADP
cana-1518	84	12	mixed	mixed	ADJ
cana-1518	84	13	convection	convection	NOUN
cana-1518	84	14	'	'	PUNCT
cana-1518	84	15	,	,	PUNCT
cana-1518	84	16	the	the	DET
cana-1518	84	17	convective	convective	ADJ
cana-1518	84	18	heattransfer	heattransfer	NOUN
cana-1518	84	19	characteristics	characteristic	NOUN
cana-1518	84	20	of	of	ADP
cana-1518	84	21	mhd	mhd	NOUN
cana-1518	84	22	flows	flow	NOUN
cana-1518	84	23	but	but	CCONJ
cana-1518	84	24	only	only	ADV
cana-1518	84	25	with	with	ADP
cana-1518	84	26	out	out	ADP
cana-1518	84	27	taking	take	VERB
cana-1518	84	28	into	into	ADP
cana-1518	84	29	account	account	NOUN
cana-1518	84	30	viscous	viscous	ADJ
cana-1518	84	31	dissipation	dissipation	NOUN
cana-1518	84	32	have	have	AUX
cana-1518	84	33	been	be	AUX
cana-1518	84	34	studied	study	VERB
cana-1518	84	35	for	for	ADP
cana-1518	84	36	nano	nano	NOUN
cana-1518	84	37	-	-	PUNCT
cana-1518	84	38	fluids	fluid	NOUN
cana-1518	84	39	by	by	ADP
cana-1518	84	40	buongiorno	buongiorno	NOUN
cana-1518	84	41	(	(	PUNCT
cana-1518	84	42	2006	2006	NUM
cana-1518	84	43	)	)	PUNCT
cana-1518	84	44	i.e.	i.e.	X
cana-1518	84	45	,	,	PUNCT
cana-1518	84	46	effect	effect	NOUN
cana-1518	84	47	of	of	ADP
cana-1518	84	48	variable	variable	ADJ
cana-1518	84	49	properties	property	NOUN
cana-1518	84	50	on	on	ADP
cana-1518	84	51	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	84	52	flow	flow	NOUN
cana-1518	84	53	over	over	ADP
cana-1518	84	54	a	a	DET
cana-1518	84	55	stretching	stretching	NOUN
cana-1518	84	56	or	or	CCONJ
cana-1518	84	57	shrinking	shrink	VERB
cana-1518	84	58	surface	surface	NOUN
cana-1518	84	59	?	?	PUNCT
cana-1518	84	60	,	,	PUNCT
cana-1518	84	61	which	which	PRON
cana-1518	84	62	was	be	AUX
cana-1518	84	63	followed	follow	VERB
cana-1518	84	64	by	by	ADP
cana-1518	84	65	another	another	DET
cana-1518	84	66	study	study	NOUN
cana-1518	84	67	[	[	X
cana-1518	84	68	5	5	NUM
cana-1518	84	69	]	]	PUNCT
cana-1518	84	70	where	where	SCONJ
cana-1518	84	71	they	they	PRON
cana-1518	84	72	investigated	investigate	VERB
cana-1518	84	73	the	the	DET
cana-1518	84	74	combined	combine	VERB
cana-1518	84	75	effects	effect	NOUN
cana-1518	84	76	of	of	ADP
cana-1518	84	77	magnetic	magnetic	ADJ
cana-1518	84	78	field	field	NOUN
cana-1518	84	79	and	and	CCONJ
cana-1518	84	80	thermal	thermal	ADJ
cana-1518	84	81	radiation	radiation	NOUN
cana-1518	84	82	.	.	PUNCT
cana-1518	85	1	this	this	DET
cana-1518	85	2	work	work	NOUN
cana-1518	85	3	,	,	PUNCT
cana-1518	85	4	reported	report	VERB
cana-1518	85	5	over	over	ADP
cana-1518	85	6	the	the	DET
cana-1518	85	7	course	course	NOUN
cana-1518	85	8	of	of	ADP
cana-1518	85	9	several	several	ADJ
cana-1518	85	10	papers	paper	NOUN
cana-1518	85	11	and	and	CCONJ
cana-1518	85	12	projects	project	NOUN
cana-1518	85	13	in	in	ADP
cana-1518	85	14	recent	recent	ADJ
cana-1518	85	15	years	year	NOUN
cana-1518	85	16	from	from	ADP
cana-1518	85	17	berkeley	berkeley	PROPN
cana-1518	85	18	lab	lab	PROPN
cana-1518	85	19	’s	’s	PART
cana-1518	85	20	communications	communication	NOUN
cana-1518	85	21	on	on	ADP
cana-1518	85	22	applied	apply	VERB
cana-1518	85	23	nonlinear	nonlinear	ADJ
cana-1518	85	24	analysis	analysis	NOUN
cana-1518	85	25	issn	issn	NOUN
cana-1518	85	26	:	:	PUNCT
cana-1518	85	27	1074	1074	NUM
cana-1518	85	28	-	-	PUNCT
cana-1518	85	29	133x	133x	NUM
cana-1518	85	30	vol	vol	NOUN
cana-1518	85	31	31	31	NUM
cana-1518	85	32	no	no	NOUN
cana-1518	85	33	.	.	PUNCT
cana-1518	86	1	8s	8s	PROPN
cana-1518	86	2	(	(	PUNCT
cana-1518	86	3	2024	2024	NUM
cana-1518	86	4	)	)	PUNCT
cana-1518	86	5	380	380	NUM
cana-1518	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	86	7	molecular	molecular	ADJ
cana-1518	86	8	foundry	foundry	NOUN
cana-1518	86	9	and	and	CCONJ
cana-1518	86	10	energy	energy	NOUN
cana-1518	86	11	storage	storage	NOUN
cana-1518	86	12	&	&	CCONJ
cana-1518	86	13	distributed	distribute	VERB
cana-1518	86	14	resources	resource	NOUN
cana-1518	86	15	divisions	division	NOUN
cana-1518	86	16	—	—	PUNCT
cana-1518	86	17	with	with	ADP
cana-1518	86	18	two	two	NUM
cana-1518	86	19	additional	additional	ADJ
cana-1518	86	20	studies	study	NOUN
cana-1518	86	21	coming	come	VERB
cana-1518	86	22	soon	soon	ADV
cana-1518	86	23	in	in	ADP
cana-1518	86	24	joule	joule	NOUN
cana-1518	86	25	-carries	-carrie	NOUN
cana-1518	86	26	important	important	ADJ
cana-1518	86	27	messages	message	NOUN
cana-1518	86	28	for	for	ADP
cana-1518	86	29	next	next	ADJ
cana-1518	86	30	-	-	PUNCT
cana-1518	86	31	generation	generation	NOUN
cana-1518	86	32	cooling	cool	VERB
cana-1518	86	33	systems	system	NOUN
cana-1518	86	34	,	,	PUNCT
cana-1518	86	35	energy	energy	NOUN
cana-1518	86	36	storage	storage	NOUN
cana-1518	86	37	devices	device	NOUN
cana-1518	86	38	,	,	PUNCT
cana-1518	86	39	thermal	thermal	ADJ
cana-1518	86	40	management	management	NOUN
cana-1518	86	41	solutions	solution	NOUN
cana-1518	86	42	used	use	VERB
cana-1518	86	43	across	across	ADP
cana-1518	86	44	many	many	ADJ
cana-1518	86	45	industries	industry	NOUN
cana-1518	86	46	.	.	PUNCT
cana-1518	87	1	consequently	consequently	ADV
cana-1518	87	2	,	,	PUNCT
cana-1518	87	3	the	the	DET
cana-1518	87	4	convergent	convergent	NOUN
cana-1518	87	5	researches	research	VERB
cana-1518	87	6	noted	note	VERB
cana-1518	87	7	above	above	ADV
cana-1518	87	8	are	be	AUX
cana-1518	87	9	greatly	greatly	ADV
cana-1518	87	10	expedited	expedite	VERB
cana-1518	87	11	to	to	PART
cana-1518	87	12	comprehend	comprehend	VERB
cana-1518	87	13	boundary	boundary	ADJ
cana-1518	87	14	layer	layer	NOUN
cana-1518	87	15	flows	flow	VERB
cana-1518	87	16	over	over	ADP
cana-1518	87	17	stretchable	stretchable	NOUN
cana-1518	87	18	and	and	CCONJ
cana-1518	87	19	shrinking	shrink	VERB
cana-1518	87	20	surface	surface	NOUN
cana-1518	87	21	problem	problem	NOUN
cana-1518	87	22	as	as	ADV
cana-1518	87	23	well	well	ADV
cana-1518	87	24	mhd	mhd	NOUN
cana-1518	87	25	flow	flow	NOUN
cana-1518	87	26	simultaneously	simultaneously	ADV
cana-1518	87	27	with	with	ADP
cana-1518	87	28	thermal	thermal	ADJ
cana-1518	87	29	radiation	radiation	NOUN
cana-1518	87	30	,	,	PUNCT
cana-1518	87	31	dissipative	dissipative	ADJ
cana-1518	87	32	effects	effect	NOUN
cana-1518	87	33	of	of	ADP
cana-1518	87	34	a	a	DET
cana-1518	87	35	viscous	viscous	ADJ
cana-1518	87	36	fluid	fluid	NOUN
cana-1518	87	37	or	or	CCONJ
cana-1518	87	38	semiconductor	semiconductor	NOUN
cana-1518	87	39	fluids	fluid	NOUN
cana-1518	87	40	;	;	PUNCT
cana-1518	87	41	porous	porous	ADJ
cana-1518	87	42	medium	medium	NOUN
cana-1518	87	43	impact	impact	NOUN
cana-1518	87	44	flowing	flow	VERB
cana-1518	87	45	through	through	ADP
cana-1518	87	46	partially	partially	ADV
cana-1518	87	47	thickened	thicken	VERB
cana-1518	87	48	channels	channel	NOUN
cana-1518	87	49	due	due	ADP
cana-1518	87	50	to	to	ADP
cana-1518	87	51	injection	injection	NOUN
cana-1518	87	52	/	/	SYM
cana-1518	87	53	injection	injection	NOUN
cana-1518	87	54	effect	effect	NOUN
cana-1518	87	55	by	by	ADP
cana-1518	87	56	nature	nature	NOUN
cana-1518	87	57	heat	heat	NOUN
cana-1518	87	58	generation	generation	NOUN
cana-1518	87	59	/	/	SYM
cana-1518	87	60	absorption	absorption	NOUN
cana-1518	87	61	related	relate	VERB
cana-1518	87	62	primarily	primarily	ADV
cana-1518	87	63	via	via	ADP
cana-1518	87	64	homogeneous	homogeneous	ADJ
cana-1518	87	65	/	/	SYM
cana-1518	87	66	heterogeneous	heterogeneous	ADJ
cana-1518	87	67	chemical	chemical	NOUN
cana-1518	87	68	reaction	reaction	NOUN
cana-1518	87	69	on	on	ADP
cana-1518	87	70	concentration	concentration	NOUN
cana-1518	87	71	difference	difference	NOUN
cana-1518	87	72	including	include	VERB
cana-1518	87	73	added	add	VERB
cana-1518	87	74	nanofluid	nanofluid	PROPN
cana-1518	87	75	etc	etc	X
cana-1518	87	76	.	.	PUNCT
cana-1518	88	1	backgroundin	backgroundin	VERB
cana-1518	88	2	recent	recent	ADJ
cana-1518	88	3	years	year	NOUN
cana-1518	88	4	,	,	PUNCT
cana-1518	88	5	many	many	ADJ
cana-1518	88	6	researchers	researcher	NOUN
cana-1518	88	7	have	have	AUX
cana-1518	88	8	begun	begin	VERB
cana-1518	88	9	investigating	investigate	VERB
cana-1518	88	10	the	the	DET
cana-1518	88	11	mhd	mhd	NOUN
cana-1518	88	12	flow	flow	NOUN
cana-1518	88	13	of	of	ADP
cana-1518	88	14	heat	heat	NOUN
cana-1518	88	15	transfer	transfer	NOUN
cana-1518	88	16	in	in	ADP
cana-1518	88	17	fluid	fluid	ADJ
cana-1518	88	18	and	and	CCONJ
cana-1518	88	19	semisolid	semisolid	NOUN
cana-1518	88	20	structures	structure	NOUN
cana-1518	88	21	emerging	emerge	VERB
cana-1518	88	22	as	as	ADP
cana-1518	88	23	nanofluids	nanofluid	NOUN
cana-1518	88	24	through	through	ADP
cana-1518	88	25	porous	porous	ADJ
cana-1518	88	26	media	medium	NOUN
cana-1518	88	27	due	due	ADP
cana-1518	88	28	to	to	ADP
cana-1518	88	29	their	their	PRON
cana-1518	88	30	extensive	extensive	ADJ
cana-1518	88	31	economic	economic	ADJ
cana-1518	88	32	applications	application	NOUN
cana-1518	88	33	these	these	DET
cana-1518	88	34	days	day	NOUN
cana-1518	88	35	;	;	PUNCT
cana-1518	88	36	for	for	ADP
cana-1518	88	37	which	which	PRON
cana-1518	88	38	an	an	DET
cana-1518	88	39	enormous	enormous	ADJ
cana-1518	88	40	literature	literature	NOUN
cana-1518	88	41	is	be	AUX
cana-1518	88	42	available	available	ADJ
cana-1518	88	43	[	[	PUNCT
cana-1518	88	44	1–39]these	1–39]these	ADJ
cana-1518	88	45	contents	content	NOUN
cana-1518	88	46	provide	provide	VERB
cana-1518	88	47	a	a	DET
cana-1518	88	48	very	very	ADV
cana-1518	88	49	good	good	ADJ
cana-1518	88	50	base	base	NOUN
cana-1518	88	51	wherever	wherever	SCONJ
cana-1518	88	52	they	they	PRON
cana-1518	88	53	are	be	AUX
cana-1518	88	54	desired	desire	VERB
cana-1518	88	55	while	while	SCONJ
cana-1518	88	56	current	current	ADJ
cana-1518	88	57	study	study	NOUN
cana-1518	88	58	aims	aim	VERB
cana-1518	88	59	at	at	ADP
cana-1518	88	60	improving	improve	VERB
cana-1518	88	61	/	/	PUNCT
cana-1518	88	62	pruning	prune	VERB
cana-1518	88	63	the	the	DET
cana-1518	88	64	coherent	coherent	ADJ
cana-1518	88	65	interaction	interaction	NOUN
cana-1518	88	66	amongst	amongst	ADP
cana-1518	88	67	such	such	ADJ
cana-1518	88	68	factors	factor	NOUN
cana-1518	88	69	in	in	ADP
cana-1518	88	70	line	line	NOUN
cana-1518	88	71	with	with	ADP
cana-1518	88	72	magnetohydrodynamically	magnetohydrodynamically	ADV
cana-1518	88	73	(	(	PUNCT
cana-1518	88	74	mhd	mhd	NOUN
cana-1518	88	75	)	)	PUNCT
cana-1518	88	76	dissipative	dissipative	ADJ
cana-1518	88	77	cohesive	cohesive	ADJ
cana-1518	88	78	viscous	viscous	ADJ
cana-1518	88	79	force	force	NOUN
cana-1518	88	80	-	-	PUNCT
cana-1518	88	81	due	due	ADJ
cana-1518	88	82	-	-	PUNCT
cana-1518	88	83	velocity	velocity	NOUN
cana-1518	88	84	on	on	ADP
cana-1518	88	85	a	a	DET
cana-1518	88	86	natural	natural	ADJ
cana-1518	88	87	&	&	CCONJ
cana-1518	88	88	thermal	thermal	ADJ
cana-1518	88	89	boundary	boundary	ADJ
cana-1518	88	90	layer	layer	NOUN
cana-1518	88	91	.	.	PUNCT
cana-1518	89	1	the	the	DET
cana-1518	89	2	research	research	NOUN
cana-1518	89	3	focuses	focus	VERB
cana-1518	89	4	on	on	ADP
cana-1518	89	5	the	the	DET
cana-1518	89	6	development	development	NOUN
cana-1518	89	7	of	of	ADP
cana-1518	89	8	accurate	accurate	ADJ
cana-1518	89	9	models	model	NOUN
cana-1518	89	10	and	and	CCONJ
cana-1518	89	11	efficient	efficient	ADJ
cana-1518	89	12	algorithms	algorithm	NOUN
cana-1518	89	13	for	for	ADP
cana-1518	89	14	complex	complex	ADJ
cana-1518	89	15	fluid	fluid	ADJ
cana-1518	89	16	dynamics	dynamic	NOUN
cana-1518	89	17	(	(	PUNCT
cana-1518	89	18	cfd	cfd	NOUN
cana-1518	89	19	)	)	PUNCT
cana-1518	89	20	based	base	VERB
cana-1518	89	21	multi	multi	ADJ
cana-1518	89	22	-	-	ADJ
cana-1518	89	23	physics	physics	ADJ
cana-1518	89	24	industrial	industrial	ADJ
cana-1518	89	25	systems	system	NOUN
cana-1518	89	26	incorporating	incorporate	VERB
cana-1518	89	27	conjugated	conjugate	VERB
cana-1518	89	28	heat	heat	NOUN
cana-1518	89	29	transfer	transfer	NOUN
cana-1518	89	30	enabling	enable	VERB
cana-1518	89	31	a	a	DET
cana-1518	89	32	step	step	NOUN
cana-1518	89	33	forward	forward	ADV
cana-1518	89	34	in	in	ADP
cana-1518	89	35	realistic	realistic	ADJ
cana-1518	89	36	simulations	simulation	NOUN
cana-1518	89	37	beneficial	beneficial	ADJ
cana-1518	89	38	for	for	ADP
cana-1518	89	39	different	different	ADJ
cana-1518	89	40	sectors	sector	NOUN
cana-1518	89	41	from	from	ADP
cana-1518	89	42	technology	technology	NOUN
cana-1518	89	43	to	to	ADP
cana-1518	89	44	engineering	engineering	NOUN
cana-1518	89	45	applications	application	NOUN
cana-1518	89	46	.	.	PUNCT
cana-1518	90	1	3	3	X
cana-1518	90	2	.	.	X
cana-1518	90	3	mathematical	mathematical	ADJ
cana-1518	90	4	model	model	NOUN
cana-1518	90	5	we	we	PRON
cana-1518	90	6	examine	examine	VERB
cana-1518	90	7	the	the	DET
cana-1518	90	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	90	9	(	(	PUNCT
cana-1518	90	10	mhd	mhd	NOUN
cana-1518	90	11	)	)	PUNCT
cana-1518	90	12	boundary	boundary	ADJ
cana-1518	90	13	layer	layer	NOUN
cana-1518	90	14	flow	flow	NOUN
cana-1518	90	15	of	of	ADP
cana-1518	90	16	a	a	DET
cana-1518	90	17	casson	casson	PROPN
cana-1518	90	18	nanofluid	nanofluid	NOUN
cana-1518	90	19	over	over	ADP
cana-1518	90	20	an	an	DET
cana-1518	90	21	extending	extend	VERB
cana-1518	90	22	surface	surface	NOUN
cana-1518	90	23	immersed	immerse	VERB
cana-1518	90	24	in	in	ADP
cana-1518	90	25	porous	porous	ADJ
cana-1518	90	26	medium	medium	NOUN
cana-1518	90	27	under	under	ADP
cana-1518	90	28	steady	steady	ADJ
cana-1518	90	29	,	,	PUNCT
cana-1518	90	30	laminar	laminar	ADJ
cana-1518	90	31	and	and	CCONJ
cana-1518	90	32	incompressible	incompressible	ADJ
cana-1518	90	33	flow	flow	NOUN
cana-1518	90	34	assumptions	assumption	NOUN
cana-1518	90	35	using	use	VERB
cana-1518	90	36	mathematical	mathematical	ADJ
cana-1518	90	37	model	model	NOUN
cana-1518	90	38	shown	show	VERB
cana-1518	90	39	here	here	ADV
cana-1518	90	40	.	.	PUNCT
cana-1518	91	1	a	a	DET
cana-1518	91	2	unique	unique	ADJ
cana-1518	91	3	feature	feature	NOUN
cana-1518	91	4	of	of	ADP
cana-1518	91	5	this	this	DET
cana-1518	91	6	model	model	NOUN
cana-1518	91	7	is	be	AUX
cana-1518	91	8	its	its	PRON
cana-1518	91	9	ability	ability	NOUN
cana-1518	91	10	to	to	PART
cana-1518	91	11	account	account	VERB
cana-1518	91	12	for	for	ADP
cana-1518	91	13	overall	overall	ADJ
cana-1518	91	14	effects	effect	NOUN
cana-1518	91	15	like	like	ADP
cana-1518	91	16	the	the	DET
cana-1518	91	17	viscous	viscous	ADJ
cana-1518	91	18	dissipation	dissipation	NOUN
cana-1518	91	19	,	,	PUNCT
cana-1518	91	20	chemical	chemical	NOUN
cana-1518	91	21	reaction	reaction	NOUN
cana-1518	91	22	,	,	PUNCT
cana-1518	91	23	inset	inset	NOUN
cana-1518	91	24	photon	photon	NOUN
cana-1518	91	25	radiation	radiation	NOUN
cana-1518	91	26	with	with	ADP
cana-1518	91	27	darcy	darcy	NOUN
cana-1518	91	28	braking	braking	NOUN
cana-1518	91	29	mechanism	mechanism	NOUN
cana-1518	91	30	and	and	CCONJ
cana-1518	91	31	brownian	brownian	ADJ
cana-1518	91	32	motion	motion	NOUN
cana-1518	91	33	along	along	ADP
cana-1518	91	34	side	side	ADJ
cana-1518	91	35	well	well	ADV
cana-1518	91	36	-	-	PUNCT
cana-1518	91	37	known	know	VERB
cana-1518	91	38	thermophoresis	thermophoresis	NOUN
cana-1518	91	39	in	in	ADP
cana-1518	91	40	mixed	mixed	ADJ
cana-1518	91	41	convection	convection	NOUN
cana-1518	91	42	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	91	43	flow	flow	NOUN
cana-1518	91	44	of	of	ADP
cana-1518	91	45	nanofluids	nanofluid	NOUN
cana-1518	91	46	.	.	PUNCT
cana-1518	92	1	the	the	DET
cana-1518	92	2	non	non	ADJ
cana-1518	92	3	-	-	ADJ
cana-1518	92	4	newtonian	newtonian	ADJ
cana-1518	92	5	properties	property	NOUN
cana-1518	92	6	and	and	CCONJ
cana-1518	92	7	hence	hence	ADV
cana-1518	92	8	the	the	DET
cana-1518	92	9	temperature	temperature	NOUN
cana-1518	92	10	-	-	PUNCT
cana-1518	92	11	sensitive	sensitive	ADJ
cana-1518	92	12	thermal	thermal	ADJ
cana-1518	92	13	conductivity	conductivity	NOUN
cana-1518	92	14	of	of	ADP
cana-1518	92	15	casson	casson	PROPN
cana-1518	92	16	nanofluid	nanofluid	PROPN
cana-1518	92	17	is	be	AUX
cana-1518	92	18	very	very	ADV
cana-1518	92	19	appealing	appealing	ADJ
cana-1518	92	20	for	for	ADP
cana-1518	92	21	practical	practical	ADJ
cana-1518	92	22	purposes	purpose	NOUN
cana-1518	92	23	,	,	PUNCT
cana-1518	92	24	especially	especially	ADV
cana-1518	92	25	in	in	ADP
cana-1518	92	26	industry	industry	NOUN
cana-1518	92	27	.	.	PUNCT
cana-1518	93	1	furthermore	furthermore	ADV
cana-1518	93	2	,	,	PUNCT
cana-1518	93	3	the	the	DET
cana-1518	93	4	presence	presence	NOUN
cana-1518	93	5	of	of	ADP
cana-1518	93	6	a	a	DET
cana-1518	93	7	porous	porous	ADJ
cana-1518	93	8	medium	medium	NOUN
cana-1518	93	9	in	in	ADP
cana-1518	93	10	the	the	DET
cana-1518	93	11	model	model	NOUN
cana-1518	93	12	embodies	embody	VERB
cana-1518	93	13	resistance	resistance	NOUN
cana-1518	93	14	imposed	impose	VERB
cana-1518	93	15	upon	upon	SCONJ
cana-1518	93	16	fluid	fluid	NOUN
cana-1518	93	17	while	while	SCONJ
cana-1518	93	18	secreating	secreate	VERB
cana-1518	93	19	out	out	ADP
cana-1518	93	20	through	through	ADP
cana-1518	93	21	permeable	permeable	ADJ
cana-1518	93	22	material	material	NOUN
cana-1518	93	23	that	that	PRON
cana-1518	93	24	results	result	VERB
cana-1518	93	25	as	as	ADP
cana-1518	93	26	an	an	DET
cana-1518	93	27	additional	additional	ADJ
cana-1518	93	28	term	term	NOUN
cana-1518	93	29	into	into	ADP
cana-1518	93	30	boundary	boundary	ADJ
cana-1518	93	31	layer	layer	NOUN
cana-1518	93	32	equations	equation	NOUN
cana-1518	93	33	.	.	PUNCT
cana-1518	94	1	in	in	ADP
cana-1518	94	2	conclusion	conclusion	NOUN
cana-1518	94	3	,	,	PUNCT
cana-1518	94	4	this	this	DET
cana-1518	94	5	model	model	NOUN
cana-1518	94	6	offers	offer	VERB
cana-1518	94	7	the	the	DET
cana-1518	94	8	promising	promising	ADJ
cana-1518	94	9	foundation	foundation	NOUN
cana-1518	94	10	of	of	ADP
cana-1518	94	11	a	a	DET
cana-1518	94	12	tool	tool	NOUN
cana-1518	94	13	for	for	ADP
cana-1518	94	14	comprehension	comprehension	NOUN
cana-1518	94	15	of	of	ADP
cana-1518	94	16	complexity	complexity	NOUN
cana-1518	94	17	in	in	ADP
cana-1518	94	18	mhd	mhd	PROPN
cana-1518	94	19	nanofluid	nanofluid	PROPN
cana-1518	94	20	flows	flow	NOUN
cana-1518	94	21	that	that	PRON
cana-1518	94	22	are	be	AUX
cana-1518	94	23	directly	directly	ADV
cana-1518	94	24	or	or	CCONJ
cana-1518	94	25	indirectly	indirectly	ADV
cana-1518	94	26	related	relate	VERB
cana-1518	94	27	to	to	ADP
cana-1518	94	28	technological	technological	ADJ
cana-1518	94	29	and	and	CCONJ
cana-1518	94	30	engineering	engineering	NOUN
cana-1518	94	31	process	process	NOUN
cana-1518	94	32	optimization	optimization	NOUN
cana-1518	94	33	.	.	PUNCT
cana-1518	95	1	continuity	continuity	NOUN
cana-1518	95	2	equation	equation	NOUN
cana-1518	95	3	the	the	DET
cana-1518	95	4	first	first	ADJ
cana-1518	95	5	equation	equation	NOUN
cana-1518	95	6	is	be	AUX
cana-1518	95	7	the	the	DET
cana-1518	95	8	continuity	continuity	NOUN
cana-1518	95	9	equation	equation	NOUN
cana-1518	95	10	,	,	PUNCT
cana-1518	95	11	which	which	PRON
cana-1518	95	12	ensures	ensure	VERB
cana-1518	95	13	mass	mass	ADJ
cana-1518	95	14	conservation	conservation	NOUN
cana-1518	95	15	in	in	ADP
cana-1518	95	16	the	the	DET
cana-1518	95	17	flow	flow	NOUN
cana-1518	95	18	field	field	NOUN
cana-1518	95	19	:	:	PUNCT
cana-1518	96	1	∂𝑢	∂𝑢	AUX
cana-1518	96	2	∂𝑥	∂𝑥	VERB
cana-1518	96	3	+	+	CCONJ
cana-1518	96	4	∂𝑣	∂𝑣	PROPN
cana-1518	96	5	∂𝑦	∂𝑦	NOUN
cana-1518	96	6	=	=	SYM
cana-1518	96	7	0	0	PUNCT
cana-1518	96	8	(	(	PUNCT
cana-1518	96	9	1	1	X
cana-1518	96	10	)	)	PUNCT
cana-1518	96	11	the	the	DET
cana-1518	96	12	statement	statement	NOUN
cana-1518	96	13	discusses	discuss	VERB
cana-1518	96	14	mass	mass	ADJ
cana-1518	96	15	conservation	conservation	NOUN
cana-1518	96	16	in	in	ADP
cana-1518	96	17	a	a	DET
cana-1518	96	18	differnetial	differnetial	ADJ
cana-1518	96	19	volume	volume	NOUN
cana-1518	96	20	element	element	NOUN
cana-1518	96	21	(	(	PUNCT
cana-1518	96	22	dve	dve	PROPN
cana-1518	96	23	)	)	PUNCT
cana-1518	96	24	and	and	CCONJ
cana-1518	96	25	states	state	VERB
cana-1518	96	26	that	that	SCONJ
cana-1518	96	27	the	the	DET
cana-1518	96	28	amount	amount	NOUN
cana-1518	96	29	of	of	ADP
cana-1518	96	30	stuff	stuff	NOUN
cana-1518	96	31	coming	come	VERB
cana-1518	96	32	into	into	ADP
cana-1518	96	33	is	be	AUX
cana-1518	96	34	equal	equal	ADJ
cana-1518	96	35	to	to	ADP
cana-1518	96	36	what	what	PRON
cana-1518	96	37	goes	go	VERB
cana-1518	96	38	out	out	ADP
cana-1518	96	39	to	to	PART
cana-1518	96	40	satisfy	satisfy	VERB
cana-1518	96	41	steady	steady	ADJ
cana-1518	96	42	flow	flow	NOUN
cana-1518	96	43	condition	condition	NOUN
cana-1518	96	44	.	.	PUNCT
cana-1518	97	1	here	here	ADV
cana-1518	97	2	,	,	PUNCT
cana-1518	97	3	the	the	DET
cana-1518	97	4	velocities	velocity	NOUN
cana-1518	97	5	(	(	PUNCT
cana-1518	97	6	u	u	NOUN
cana-1518	97	7	)	)	PUNCT
cana-1518	97	8	and	and	CCONJ
cana-1518	97	9	[	[	X
cana-1518	97	10	v	v	X
cana-1518	97	11	]	]	PUNCT
cana-1518	97	12	indicates	indicate	VERB
cana-1518	97	13	fluid	fluid	ADJ
cana-1518	97	14	flow	flow	NOUN
cana-1518	97	15	in	in	ADP
cana-1518	97	16	x	x	NOUN
cana-1518	97	17	-	-	NOUN
cana-1518	97	18	direction	direction	NOUN
cana-1518	97	19	&	&	CCONJ
cana-1518	97	20	y	y	NOUN
cana-1518	97	21	-	-	PUNCT
cana-1518	97	22	direction	direction	NOUN
cana-1518	97	23	respectively	respectively	ADV
cana-1518	97	24	.	.	PUNCT
cana-1518	98	1	despite	despite	SCONJ
cana-1518	98	2	its	its	PRON
cana-1518	98	3	banality	banality	NOUN
cana-1518	98	4	,	,	PUNCT
cana-1518	98	5	this	this	DET
cana-1518	98	6	equation	equation	NOUN
cana-1518	98	7	is	be	AUX
cana-1518	98	8	significant	significant	ADJ
cana-1518	98	9	because	because	SCONJ
cana-1518	98	10	fluid	fluid	NOUN
cana-1518	98	11	in	in	ADP
cana-1518	98	12	the	the	DET
cana-1518	98	13	dve	dve	NOUN
cana-1518	98	14	neither	neither	CCONJ
cana-1518	98	15	accumulates	accumulate	VERB
cana-1518	98	16	nor	nor	CCONJ
cana-1518	98	17	depletes	deplete	VERB
cana-1518	98	18	(	(	PUNCT
cana-1518	98	19	in	in	ADP
cana-1518	98	20	steady	steady	ADJ
cana-1518	98	21	flow	flow	NOUN
cana-1518	98	22	)	)	PUNCT
cana-1518	98	23	.	.	PUNCT
cana-1518	99	1	such	such	ADJ
cana-1518	99	2	conservation	conservation	NOUN
cana-1518	99	3	of	of	ADP
cana-1518	99	4	mass	mass	NOUN
cana-1518	99	5	flow	flow	NOUN
cana-1518	99	6	forms	form	NOUN
cana-1518	99	7	the	the	DET
cana-1518	99	8	basis	basis	NOUN
cana-1518	99	9	for	for	ADP
cana-1518	99	10	a	a	DET
cana-1518	99	11	wide	wide	ADJ
cana-1518	99	12	variety	variety	NOUN
cana-1518	99	13	of	of	ADP
cana-1518	99	14	analyses	analysis	NOUN
cana-1518	99	15	in	in	ADP
cana-1518	99	16	fluid	fluid	ADJ
cana-1518	99	17	dynamics	dynamic	NOUN
cana-1518	99	18	,	,	PUNCT
cana-1518	99	19	communications	communication	NOUN
cana-1518	99	20	on	on	ADP
cana-1518	99	21	applied	apply	VERB
cana-1518	99	22	nonlinear	nonlinear	ADJ
cana-1518	99	23	analysis	analysis	NOUN
cana-1518	99	24	issn	issn	NOUN
cana-1518	99	25	:	:	PUNCT
cana-1518	99	26	1074	1074	NUM
cana-1518	99	27	-	-	PUNCT
cana-1518	99	28	133x	133x	NUM
cana-1518	99	29	vol	vol	NOUN
cana-1518	99	30	31	31	NUM
cana-1518	99	31	no	no	NOUN
cana-1518	99	32	.	.	PUNCT
cana-1518	100	1	8s	8s	PROPN
cana-1518	100	2	(	(	PUNCT
cana-1518	100	3	2024	2024	NUM
cana-1518	100	4	)	)	PUNCT
cana-1518	100	5	381	381	NUM
cana-1518	100	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	100	7	allowing	allow	VERB
cana-1518	100	8	consistent	consistent	ADJ
cana-1518	100	9	and	and	CCONJ
cana-1518	100	10	reliable	reliable	ADJ
cana-1518	100	11	characterization	characterization	NOUN
cana-1518	100	12	across	across	ADP
cana-1518	100	13	diverse	diverse	ADJ
cana-1518	100	14	phenomena	phenomenon	NOUN
cana-1518	100	15	.	.	PUNCT
cana-1518	101	1	this	this	DET
cana-1518	101	2	equation	equation	NOUN
cana-1518	101	3	,	,	PUNCT
cana-1518	101	4	as	as	SCONJ
cana-1518	101	5	can	can	AUX
cana-1518	101	6	be	be	AUX
cana-1518	101	7	seen	see	VERB
cana-1518	101	8	from	from	ADP
cana-1518	101	9	the	the	DET
cana-1518	101	10	mass	mass	NOUN
cana-1518	101	11	balance	balance	NOUN
cana-1518	101	12	can	can	AUX
cana-1518	101	13	not	not	PART
cana-1518	101	14	violate	violate	VERB
cana-1518	101	15	conservation	conservation	NOUN
cana-1518	101	16	of	of	ADP
cana-1518	101	17	mass	mass	NOUN
cana-1518	101	18	in	in	ADP
cana-1518	101	19	a	a	DET
cana-1518	101	20	steady	steady	ADJ
cana-1518	101	21	flow	flow	NOUN
cana-1518	101	22	system	system	NOUN
cana-1518	101	23	form	form	VERB
cana-1518	101	24	the	the	DET
cana-1518	101	25	backbone	backbone	NOUN
cana-1518	101	26	idea	idea	NOUN
cana-1518	101	27	for	for	ADP
cana-1518	101	28	developing	develop	VERB
cana-1518	101	29	formulation	formulation	NOUN
cana-1518	101	30	for	for	ADP
cana-1518	101	31	process	process	NOUN
cana-1518	101	32	taking	take	VERB
cana-1518	101	33	place	place	NOUN
cana-1518	101	34	with	with	ADP
cana-1518	101	35	handling	handling	NOUN
cana-1518	101	36	and	and	CCONJ
cana-1518	101	37	correction	correction	NOUN
cana-1518	101	38	methods	method	NOUN
cana-1518	101	39	to	to	PART
cana-1518	101	40	predict	predict	VERB
cana-1518	101	41	accurate	accurate	ADJ
cana-1518	101	42	results	result	NOUN
cana-1518	101	43	upon	upon	SCONJ
cana-1518	101	44	modeling	model	VERB
cana-1518	101	45	it	it	PRON
cana-1518	101	46	on	on	ADP
cana-1518	101	47	computers	computer	NOUN
cana-1518	101	48	.	.	PUNCT
cana-1518	102	1	momentum	momentum	NOUN
cana-1518	102	2	equation	equation	NOUN
cana-1518	102	3	the	the	DET
cana-1518	102	4	momentum	momentum	NOUN
cana-1518	102	5	equation	equation	NOUN
cana-1518	102	6	is	be	AUX
cana-1518	102	7	formulated	formulate	VERB
cana-1518	102	8	as	as	SCONJ
cana-1518	102	9	follows	follow	VERB
cana-1518	102	10	:	:	PUNCT
cana-1518	102	11	𝑢	𝑢	PROPN
cana-1518	102	12	∂𝑢	∂𝑢	PROPN
cana-1518	102	13	∂𝑥	∂𝑥	VERB
cana-1518	103	1	+	+	ADP
cana-1518	103	2	𝑣	𝑣	DET
cana-1518	103	3	∂𝑢	∂𝑢	NOUN
cana-1518	103	4	∂𝑦	∂𝑦	PROPN
cana-1518	103	5	=	=	PUNCT
cana-1518	103	6	𝑈∞	𝑈∞	PROPN
cana-1518	103	7	∂𝑈∞	∂𝑈∞	PROPN
cana-1518	104	1	∂𝑥	∂𝑥	INTJ
cana-1518	104	2	+	+	CCONJ
cana-1518	104	3	𝑣𝑓	𝑣𝑓	NOUN
cana-1518	104	4	(	(	PUNCT
cana-1518	104	5	1	1	NUM
cana-1518	104	6	+	+	SYM
cana-1518	104	7	1	1	NUM
cana-1518	104	8	𝛽	𝛽	NOUN
cana-1518	104	9	)	)	PUNCT
cana-1518	104	10	∂2𝑢	∂2𝑢	NOUN
cana-1518	104	11	∂𝑦2	∂𝑦2	NOUN
cana-1518	104	12	(	(	PUNCT
cana-1518	104	13	2	2	NUM
cana-1518	104	14	)	)	PUNCT
cana-1518	104	15	𝑢	𝑢	PROPN
cana-1518	104	16	∂𝑇	∂𝑇	PROPN
cana-1518	104	17	∂𝑥	∂𝑥	VERB
cana-1518	104	18	+	+	ADP
cana-1518	104	19	𝑣	𝑣	DET
cana-1518	104	20	∂𝑇	∂𝑇	NOUN
cana-1518	104	21	∂𝑦	∂𝑦	PROPN
cana-1518	104	22	=	=	PUNCT
cana-1518	104	23	𝛼	𝛼	NOUN
cana-1518	104	24	∂2𝑇	∂2𝑇	VERB
cana-1518	104	25	∂𝑦2	∂𝑦2	NOUN
cana-1518	104	26	+	+	CCONJ
cana-1518	104	27	𝜏	𝜏	X
cana-1518	104	28	{	{	PUNCT
cana-1518	104	29	𝐷𝐵	𝐷𝐵	NOUN
cana-1518	104	30	∂𝐶	∂𝐶	ADP
cana-1518	104	31	∂𝑦	∂𝑦	PROPN
cana-1518	104	32	∂𝑇	∂𝑇	PROPN
cana-1518	104	33	∂𝑦	∂𝑦	PROPN
cana-1518	105	1	+	+	CCONJ
cana-1518	105	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1518	105	3	𝑇∞	𝑇∞	PROPN
cana-1518	105	4	(	(	PUNCT
cana-1518	105	5	∂𝑇	∂𝑇	PROPN
cana-1518	105	6	∂𝑦	∂𝑦	PROPN
cana-1518	105	7	)	)	PUNCT
cana-1518	105	8	2	2	X
cana-1518	105	9	}	}	PUNCT
cana-1518	105	10	(	(	PUNCT
cana-1518	105	11	3	3	NUM
cana-1518	105	12	)	)	PUNCT
cana-1518	105	13	−	−	NOUN
cana-1518	105	14	1	1	NUM
cana-1518	105	15	(	(	PUNCT
cana-1518	105	16	𝜌𝑐)𝑓	𝜌𝑐)𝑓	PROPN
cana-1518	105	17	∂𝑞𝑟	∂𝑞𝑟	X
cana-1518	105	18	∂𝑦	∂𝑦	PROPN
cana-1518	106	1	+	+	CCONJ
cana-1518	106	2	𝜇	𝜇	X
cana-1518	106	3	(	(	PUNCT
cana-1518	106	4	𝜌𝑐)𝑓	𝜌𝑐)𝑓	NOUN
cana-1518	106	5	(	(	PUNCT
cana-1518	106	6	1	1	NUM
cana-1518	106	7	+	+	SYM
cana-1518	106	8	1	1	NUM
cana-1518	106	9	𝛽	𝛽	NOUN
cana-1518	106	10	)	)	PUNCT
cana-1518	106	11	(	(	PUNCT
cana-1518	106	12	∂𝑢	∂𝑢	X
cana-1518	106	13	∂𝑦	∂𝑦	ADJ
cana-1518	106	14	)	)	PUNCT
cana-1518	106	15	2	2	NUM
cana-1518	106	16	(	(	PUNCT
cana-1518	106	17	4	4	NUM
cana-1518	106	18	)	)	PUNCT
cana-1518	106	19	+	+	CCONJ
cana-1518	106	20	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1518	106	21	2(𝑢−𝑈∞	2(𝑢−𝑈∞	NOUN
cana-1518	106	22	)	)	PUNCT
cana-1518	106	23	2	2	NUM
cana-1518	106	24	(	(	PUNCT
cana-1518	106	25	𝜌𝑐)𝑓	𝜌𝑐)𝑓	NOUN
cana-1518	106	26	sin2	sin2	NOUN
cana-1518	106	27	𝛾	𝛾	ADP
cana-1518	106	28	+	+	X
cana-1518	106	29	𝑞′′′	𝑞′′′	NOUN
cana-1518	106	30	(	(	PUNCT
cana-1518	106	31	𝜌𝑐)𝑓	𝜌𝑐)𝑓	NOUN
cana-1518	106	32	(	(	PUNCT
cana-1518	106	33	5	5	NUM
cana-1518	106	34	)	)	PUNCT
cana-1518	106	35	this	this	DET
cana-1518	106	36	equation	equation	NOUN
cana-1518	106	37	describes	describe	VERB
cana-1518	106	38	the	the	DET
cana-1518	106	39	balance	balance	NOUN
cana-1518	106	40	between	between	ADP
cana-1518	106	41	forces	force	NOUN
cana-1518	106	42	at	at	ADP
cana-1518	106	43	work	work	NOUN
cana-1518	106	44	on	on	ADP
cana-1518	106	45	fluid	fluid	ADJ
cana-1518	106	46	particles	particle	NOUN
cana-1518	106	47	in	in	ADP
cana-1518	106	48	a	a	DET
cana-1518	106	49	flow	flow	NOUN
cana-1518	106	50	field	field	NOUN
cana-1518	106	51	,	,	PUNCT
cana-1518	106	52	which	which	PRON
cana-1518	106	53	is	be	AUX
cana-1518	106	54	paramount	paramount	ADJ
cana-1518	106	55	to	to	ADP
cana-1518	106	56	being	be	AUX
cana-1518	106	57	able	able	ADJ
cana-1518	106	58	to	to	PART
cana-1518	106	59	predict	predict	VERB
cana-1518	106	60	how	how	SCONJ
cana-1518	106	61	fluids	fluid	NOUN
cana-1518	106	62	move	move	VERB
cana-1518	106	63	.	.	PUNCT
cana-1518	107	1	the	the	DET
cana-1518	107	2	left	left	ADJ
cana-1518	107	3	side	side	NOUN
cana-1518	107	4	of	of	ADP
cana-1518	107	5	it	it	PRON
cana-1518	107	6	is	be	AUX
cana-1518	107	7	the	the	DET
cana-1518	107	8	convective	convective	ADJ
cana-1518	107	9	acceleration	acceleration	NOUN
cana-1518	107	10	,	,	PUNCT
cana-1518	107	11	that	that	PRON
cana-1518	107	12	conveys	convey	VERB
cana-1518	107	13	how	how	SCONJ
cana-1518	107	14	fast	fast	ADJ
cana-1518	107	15	fluid	fluid	ADJ
cana-1518	107	16	particles	particle	NOUN
cana-1518	107	17	are	be	AUX
cana-1518	107	18	changing	change	VERB
cana-1518	107	19	their	their	PRON
cana-1518	107	20	velocity	velocity	NOUN
cana-1518	107	21	as	as	ADP
cana-1518	107	22	crossing	cross	VERB
cana-1518	107	23	x	x	PUNCT
cana-1518	107	24	and	and	CCONJ
cana-1518	107	25	y	y	PROPN
cana-1518	107	26	directions	direction	NOUN
cana-1518	107	27	.	.	PUNCT
cana-1518	108	1	if	if	SCONJ
cana-1518	108	2	you	you	PRON
cana-1518	108	3	think	think	VERB
cana-1518	108	4	about	about	ADP
cana-1518	108	5	it	it	PRON
cana-1518	108	6	is	be	AUX
cana-1518	108	7	one	one	NUM
cana-1518	108	8	way	way	NOUN
cana-1518	108	9	,	,	PUNCT
cana-1518	108	10	this	this	DET
cana-1518	108	11	term	term	NOUN
cana-1518	108	12	represent	represent	VERB
cana-1518	108	13	the	the	DET
cana-1518	108	14	changes	change	NOUN
cana-1518	108	15	in	in	ADP
cana-1518	108	16	momentum	momentum	NOUN
cana-1518	108	17	caused	cause	VERB
cana-1518	108	18	by	by	ADP
cana-1518	108	19	each	each	DET
cana-1518	108	20	fluid	fluid	ADJ
cana-1518	108	21	element	element	NOUN
cana-1518	108	22	moving	move	VERB
cana-1518	108	23	inside	inside	ADV
cana-1518	108	24	of	of	ADP
cana-1518	108	25	flow	flow	NOUN
cana-1518	108	26	region	region	NOUN
cana-1518	108	27	.	.	PUNCT
cana-1518	109	1	on	on	ADP
cana-1518	109	2	the	the	DET
cana-1518	109	3	rhs	rhs	PROPN
cana-1518	109	4	,	,	PUNCT
cana-1518	109	5	this	this	DET
cana-1518	109	6	equation	equation	NOUN
cana-1518	109	7	offsets	offset	VERB
cana-1518	109	8	these	these	DET
cana-1518	109	9	momentum	momentum	NOUN
cana-1518	109	10	changes	change	NOUN
cana-1518	109	11	to	to	PART
cana-1518	109	12	account	account	VERB
cana-1518	109	13	for	for	ADP
cana-1518	109	14	the	the	DET
cana-1518	109	15	balance	balance	NOUN
cana-1518	109	16	of	of	ADP
cana-1518	109	17	surface	surface	NOUN
cana-1518	109	18	stretch	stretch	NOUN
cana-1518	109	19	and	and	CCONJ
cana-1518	109	20	internal	internal	ADJ
cana-1518	109	21	viscous	viscous	ADJ
cana-1518	109	22	forces	force	NOUN
cana-1518	109	23	within	within	ADP
cana-1518	109	24	fluid	fluid	NOUN
cana-1518	109	25	.	.	PUNCT
cana-1518	110	1	these	these	DET
cana-1518	110	2	permeabilityindependent	permeabilityindependent	ADJ
cana-1518	110	3	viscous	viscous	ADJ
cana-1518	110	4	forces	force	NOUN
cana-1518	110	5	are	be	AUX
cana-1518	110	6	due	due	ADJ
cana-1518	110	7	to	to	ADP
cana-1518	110	8	the	the	DET
cana-1518	110	9	resistance	resistance	NOUN
cana-1518	110	10	of	of	ADP
cana-1518	110	11	a	a	DET
cana-1518	110	12	fluid	fluid	ADJ
cana-1518	110	13	flow	flow	NOUN
cana-1518	110	14	(	(	PUNCT
cana-1518	110	15	non	non	ADJ
cana-1518	110	16	-	-	ADJ
cana-1518	110	17	newtonian	newtonian	ADJ
cana-1518	110	18	for	for	ADP
cana-1518	110	19	casson	casson	PROPN
cana-1518	110	20	like	like	ADP
cana-1518	110	21	one	one	NUM
cana-1518	110	22	)	)	PUNCT
cana-1518	110	23	.	.	PUNCT
cana-1518	111	1	the	the	DET
cana-1518	111	2	casson	casson	PROPN
cana-1518	111	3	fluid	fluid	PROPN
cana-1518	111	4	parameter	parameter	NOUN
cana-1518	111	5	(	(	PUNCT
cana-1518	111	6	\beta	\beta	PROPN
cana-1518	111	7	)	)	PUNCT
cana-1518	111	8	is	be	AUX
cana-1518	111	9	important	important	ADJ
cana-1518	111	10	being	be	AUX
cana-1518	111	11	the	the	DET
cana-1518	111	12	measure	measure	NOUN
cana-1518	111	13	of	of	ADP
cana-1518	111	14	how	how	SCONJ
cana-1518	111	15	viscosity	viscosity	NOUN
cana-1518	111	16	shears	shear	NOUN
cana-1518	111	17	at	at	ADP
cana-1518	111	18	different	different	ADJ
cana-1518	111	19	stages	stage	NOUN
cana-1518	111	20	stress	stress	VERB
cana-1518	111	21	to	to	PART
cana-1518	111	22	account	account	VERB
cana-1518	111	23	for	for	ADP
cana-1518	111	24	one	one	NUM
cana-1518	111	25	unique	unique	ADJ
cana-1518	111	26	characteristic	characteristic	NOUN
cana-1518	111	27	of	of	ADP
cana-1518	111	28	a	a	DET
cana-1518	111	29	given	give	VERB
cana-1518	111	30	fluid	fluid	NOUN
cana-1518	111	31	under	under	ADP
cana-1518	111	32	varying	vary	VERB
cana-1518	111	33	flow	flow	NOUN
cana-1518	111	34	situations	situation	NOUN
cana-1518	111	35	.	.	PUNCT
cana-1518	112	1	this	this	DET
cana-1518	112	2	equilibrium	equilibrium	NOUN
cana-1518	112	3	set	set	NOUN
cana-1518	112	4	of	of	ADP
cana-1518	112	5	relations	relation	NOUN
cana-1518	112	6	are	be	AUX
cana-1518	112	7	central	central	ADJ
cana-1518	112	8	to	to	PART
cana-1518	112	9	aspect	aspect	VERB
cana-1518	112	10	the	the	DET
cana-1518	112	11	dynamics	dynamic	NOUN
cana-1518	112	12	involved	involve	VERB
cana-1518	112	13	in	in	ADP
cana-1518	112	14	capturing	capture	VERB
cana-1518	112	15	and	and	CCONJ
cana-1518	112	16	manipulating	manipulate	VERB
cana-1518	112	17	flow	flow	NOUN
cana-1518	112	18	characteristics	characteristic	NOUN
cana-1518	112	19	in	in	ADP
cana-1518	112	20	case	case	NOUN
cana-1518	112	21	of	of	ADP
cana-1518	112	22	complex	complex	ADJ
cana-1518	112	23	materials	material	NOUN
cana-1518	112	24	such	such	ADJ
cana-1518	112	25	as	as	ADP
cana-1518	112	26	nanofluids	nanofluid	NOUN
cana-1518	112	27	when	when	SCONJ
cana-1518	112	28	exposed	expose	VERB
cana-1518	112	29	to	to	ADP
cana-1518	112	30	stretching	stretch	VERB
cana-1518	112	31	surfaces	surface	NOUN
cana-1518	112	32	and	and	CCONJ
cana-1518	112	33	magnetic	magnetic	ADJ
cana-1518	112	34	field	field	NOUN
cana-1518	112	35	.	.	PUNCT
cana-1518	113	1	energy	energy	NOUN
cana-1518	113	2	equation	equation	NOUN
cana-1518	113	3	the	the	DET
cana-1518	113	4	energy	energy	NOUN
cana-1518	113	5	equation	equation	NOUN
cana-1518	113	6	,	,	PUNCT
cana-1518	113	7	which	which	PRON
cana-1518	113	8	governs	govern	VERB
cana-1518	113	9	the	the	DET
cana-1518	113	10	temperature	temperature	NOUN
cana-1518	113	11	distribution	distribution	NOUN
cana-1518	113	12	within	within	ADP
cana-1518	113	13	the	the	DET
cana-1518	113	14	fluid	fluid	NOUN
cana-1518	113	15	,	,	PUNCT
cana-1518	113	16	is	be	AUX
cana-1518	113	17	given	give	VERB
cana-1518	113	18	by	by	ADP
cana-1518	113	19	:	:	PUNCT
cana-1518	113	20	𝑢	𝑢	PROPN
cana-1518	113	21	∂𝑇	∂𝑇	PROPN
cana-1518	113	22	∂𝑥	∂𝑥	VERB
cana-1518	113	23	+	+	ADP
cana-1518	113	24	𝑣	𝑣	DET
cana-1518	113	25	∂𝑇	∂𝑇	NOUN
cana-1518	113	26	∂𝑦	∂𝑦	PROPN
cana-1518	113	27	=	=	PUNCT
cana-1518	113	28	𝛼	𝛼	NOUN
cana-1518	113	29	∂2𝑇	∂2𝑇	VERB
cana-1518	113	30	∂𝑦2	∂𝑦2	NOUN
cana-1518	113	31	+	+	CCONJ
cana-1518	113	32	𝜏	𝜏	X
cana-1518	113	33	{	{	PUNCT
cana-1518	113	34	𝐷𝐵	𝐷𝐵	NOUN
cana-1518	113	35	∂𝐶	∂𝐶	ADP
cana-1518	113	36	∂𝑦	∂𝑦	PROPN
cana-1518	113	37	∂𝑇	∂𝑇	PROPN
cana-1518	113	38	∂𝑦	∂𝑦	PROPN
cana-1518	114	1	+	+	CCONJ
cana-1518	114	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1518	114	3	𝑇∞	𝑇∞	PROPN
cana-1518	114	4	(	(	PUNCT
cana-1518	114	5	∂𝑇	∂𝑇	PROPN
cana-1518	114	6	∂𝑦	∂𝑦	PROPN
cana-1518	114	7	)	)	PUNCT
cana-1518	114	8	2	2	X
cana-1518	114	9	}	}	PUNCT
cana-1518	114	10	(	(	PUNCT
cana-1518	114	11	6	6	X
cana-1518	114	12	)	)	PUNCT
cana-1518	114	13	the	the	DET
cana-1518	114	14	above	above	ADJ
cana-1518	114	15	equation	equation	NOUN
cana-1518	114	16	gives	give	VERB
cana-1518	114	17	a	a	DET
cana-1518	114	18	complete	complete	ADJ
cana-1518	114	19	description	description	NOUN
cana-1518	114	20	of	of	ADP
cana-1518	114	21	the	the	DET
cana-1518	114	22	processes	process	NOUN
cana-1518	114	23	of	of	ADP
cana-1518	114	24	heat	heat	NOUN
cana-1518	114	25	transfer	transfer	NOUN
cana-1518	114	26	in	in	ADP
cana-1518	114	27	fluid	fluid	NOUN
cana-1518	114	28	with	with	ADP
cana-1518	114	29	both	both	CCONJ
cana-1518	114	30	mechanisms.conduction	mechanisms.conduction	NOUN
cana-1518	114	31	&	&	CCONJ
cana-1518	114	32	convection	convection	NOUN
cana-1518	114	33	.	.	PUNCT
cana-1518	115	1	where	where	SCONJ
cana-1518	115	2	:(	:(	PUNCT
cana-1518	115	3	\alpha	\alpha	NOUN
cana-1518	115	4	)	)	PUNCT
cana-1518	115	5	is	be	AUX
cana-1518	115	6	the	the	DET
cana-1518	115	7	thermal	thermal	ADJ
cana-1518	115	8	diffusivity	diffusivity	NOUN
cana-1518	115	9	:	:	PUNCT
cana-1518	115	10	a	a	DET
cana-1518	115	11	measure	measure	NOUN
cana-1518	115	12	of	of	ADP
cana-1518	115	13	how	how	SCONJ
cana-1518	115	14	quickly	quickly	ADV
cana-1518	115	15	heat	heat	NOUN
cana-1518	115	16	can	can	AUX
cana-1518	115	17	travel	travel	VERB
cana-1518	115	18	through	through	ADP
cana-1518	115	19	a	a	DET
cana-1518	115	20	fluid	fluid	ADJ
cana-1518	115	21	relative	relative	NOUN
cana-1518	115	22	to	to	ADP
cana-1518	115	23	its	its	PRON
cana-1518	115	24	ability	ability	NOUN
cana-1518	115	25	keep	keep	VERB
cana-1518	115	26	/	/	SYM
cana-1518	115	27	store	store	NOUN
cana-1518	115	28	/	/	SYM
cana-1518	115	29	thermal	thermal	ADJ
cana-1518	115	30	energy	energy	NOUN
cana-1518	115	31	.	.	PUNCT
cana-1518	116	1	the	the	DET
cana-1518	116	2	coefficients	coefficient	NOUN
cana-1518	116	3	(	(	PUNCT
cana-1518	116	4	db	db	PROPN
cana-1518	116	5	)	)	PUNCT
cana-1518	116	6	and	and	CCONJ
cana-1518	116	7	(	(	PUNCT
cana-1518	116	8	dt	dt	PROPN
cana-1518	116	9	)	)	PUNCT
cana-1518	116	10	,	,	PUNCT
cana-1518	116	11	in	in	ADP
cana-1518	116	12	[	[	X
cana-1518	116	13	128	128	NUM
cana-1518	116	14	]	]	PUNCT
cana-1518	116	15	,	,	PUNCT
cana-1518	116	16	are	be	AUX
cana-1518	116	17	related	relate	VERB
cana-1518	116	18	to	to	ADP
cana-1518	116	19	the	the	DET
cana-1518	116	20	brownian	brownian	ADJ
cana-1518	116	21	diffusion	diffusion	NOUN
cana-1518	116	22	and	and	CCONJ
cana-1518	116	23	thermophoretic	thermophoretic	ADJ
cana-1518	116	24	diffusio	diffusio	NOUN
cana-1518	116	25	,	,	PUNCT
cana-1518	116	26	respectivelyn	respectivelyn	ADV
cana-1518	116	27	;	;	PUNCT
cana-1518	116	28	these	these	DET
cana-1518	116	29	two	two	NUM
cana-1518	116	30	components	component	NOUN
cana-1518	116	31	play	play	VERB
cana-1518	116	32	an	an	DET
cana-1518	116	33	important	important	ADJ
cana-1518	116	34	role	role	NOUN
cana-1518	116	35	for	for	ADP
cana-1518	116	36	prediction	prediction	NOUN
cana-1518	116	37	of	of	ADP
cana-1518	116	38	nanoparticle	nanoparticle	NOUN
cana-1518	116	39	motion	motion	NOUN
cana-1518	116	40	through	through	ADP
cana-1518	116	41	a	a	DET
cana-1518	116	42	fluid	fluid	NOUN
cana-1518	116	43	.	.	PUNCT
cana-1518	117	1	together	together	ADV
cana-1518	117	2	with	with	ADP
cana-1518	117	3	the	the	DET
cana-1518	117	4	random	random	ADJ
cana-1518	117	5	thermal	thermal	ADJ
cana-1518	117	6	motion	motion	NOUN
cana-1518	117	7	of	of	ADP
cana-1518	117	8	these	these	DET
cana-1518	117	9	nanoparticles	nanoparticle	NOUN
cana-1518	117	10	over	over	ADV
cana-1518	117	11	and	and	CCONJ
cana-1518	117	12	above	above	ADP
cana-1518	117	13	correctly	correctly	ADV
cana-1518	117	14	responding	respond	VERB
cana-1518	117	15	to	to	ADP
cana-1518	117	16	temperature	temperature	NOUN
cana-1518	117	17	gradients	gradient	NOUN
cana-1518	117	18	,	,	PUNCT
cana-1518	117	19	their	their	PRON
cana-1518	117	20	introduction	introduction	NOUN
cana-1518	117	21	may	may	AUX
cana-1518	117	22	dramatically	dramatically	ADV
cana-1518	117	23	increase	increase	VERB
cana-1518	117	24	the	the	DET
cana-1518	117	25	fluid	fluid	NOUN
cana-1518	117	26	's	's	PART
cana-1518	117	27	bulk	bulk	ADJ
cana-1518	117	28	-	-	PUNCT
cana-1518	117	29	phase	phase	NOUN
cana-1518	117	30	thermal	thermal	ADJ
cana-1518	117	31	conductivity	conductivity	NOUN
cana-1518	117	32	which	which	PRON
cana-1518	117	33	helps	help	VERB
cana-1518	117	34	in	in	ADP
cana-1518	117	35	more	more	ADV
cana-1518	117	36	effective	effective	ADJ
cana-1518	117	37	heat	heat	NOUN
cana-1518	117	38	transfer	transfer	NOUN
cana-1518	117	39	.	.	PUNCT
cana-1518	118	1	radiative	radiative	ADJ
cana-1518	118	2	heat	heat	NOUN
cana-1518	118	3	flux	flux	NOUN
cana-1518	118	4	is	be	AUX
cana-1518	118	5	factored	factor	VERB
cana-1518	118	6	into	into	ADP
cana-1518	118	7	the	the	DET
cana-1518	118	8	equation	equation	NOUN
cana-1518	118	9	as	as	ADV
cana-1518	118	10	well	well	ADV
cana-1518	118	11	,	,	PUNCT
cana-1518	118	12	for	for	ADP
cana-1518	118	13	applications	application	NOUN
cana-1518	118	14	that	that	PRON
cana-1518	118	15	deal	deal	VERB
cana-1518	118	16	with	with	ADP
cana-1518	118	17	high	high	ADJ
cana-1518	118	18	temperatures	temperature	NOUN
cana-1518	118	19	since	since	SCONJ
cana-1518	118	20	communications	communication	NOUN
cana-1518	118	21	on	on	ADP
cana-1518	118	22	applied	apply	VERB
cana-1518	118	23	nonlinear	nonlinear	ADJ
cana-1518	118	24	analysis	analysis	NOUN
cana-1518	118	25	issn	issn	NOUN
cana-1518	118	26	:	:	PUNCT
cana-1518	118	27	1074	1074	NUM
cana-1518	118	28	-	-	PUNCT
cana-1518	118	29	133x	133x	NUM
cana-1518	118	30	vol	vol	NOUN
cana-1518	118	31	31	31	NUM
cana-1518	118	32	no	no	NOUN
cana-1518	118	33	.	.	PUNCT
cana-1518	119	1	8s	8s	PROPN
cana-1518	119	2	(	(	PUNCT
cana-1518	119	3	2024	2024	NUM
cana-1518	119	4	)	)	PUNCT
cana-1518	119	5	382	382	NUM
cana-1518	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	119	7	radiation	radiation	NOUN
cana-1518	119	8	can	can	AUX
cana-1518	119	9	be	be	AUX
cana-1518	119	10	governed	govern	VERB
cana-1518	119	11	by	by	ADP
cana-1518	119	12	a	a	DET
cana-1518	119	13	major	major	ADJ
cana-1518	119	14	form	form	NOUN
cana-1518	119	15	of	of	ADP
cana-1518	119	16	energy	energy	NOUN
cana-1518	119	17	transfer	transfer	NOUN
cana-1518	119	18	.	.	PUNCT
cana-1518	120	1	moreover	moreover	ADV
cana-1518	120	2	,	,	PUNCT
cana-1518	120	3	the	the	DET
cana-1518	120	4	heat	heat	NOUN
cana-1518	120	5	source	source	NOUN
cana-1518	120	6	term	term	NOUN
cana-1518	120	7	is	be	AUX
cana-1518	120	8	included	include	VERB
cana-1518	120	9	for	for	ADP
cana-1518	120	10	modeling	modeling	NOUN
cana-1518	120	11	of	of	ADP
cana-1518	120	12	internal	internal	ADJ
cana-1518	120	13	generation	generation	NOUN
cana-1518	120	14	as	as	SCONJ
cana-1518	120	15	it	it	PRON
cana-1518	120	16	seems	seem	VERB
cana-1518	120	17	to	to	PART
cana-1518	120	18	be	be	AUX
cana-1518	120	19	an	an	DET
cana-1518	120	20	important	important	ADJ
cana-1518	120	21	issue	issue	NOUN
cana-1518	120	22	especially	especially	ADV
cana-1518	120	23	in	in	ADP
cana-1518	120	24	cases	case	NOUN
cana-1518	120	25	where	where	SCONJ
cana-1518	120	26	a	a	DET
cana-1518	120	27	fluid	fluid	ADJ
cana-1518	120	28	experiences	experience	NOUN
cana-1518	120	29	continuous	continuous	ADJ
cana-1518	120	30	generation	generation	NOUN
cana-1518	120	31	within	within	ADP
cana-1518	120	32	from	from	ADP
cana-1518	120	33	some	some	DET
cana-1518	120	34	kind	kind	NOUN
cana-1518	120	35	of	of	ADP
cana-1518	120	36	heating	heating	NOUN
cana-1518	120	37	.	.	PUNCT
cana-1518	121	1	these	these	DET
cana-1518	121	2	components	component	NOUN
cana-1518	121	3	assure	assure	VERB
cana-1518	121	4	that	that	SCONJ
cana-1518	121	5	the	the	DET
cana-1518	121	6	equation	equation	NOUN
cana-1518	121	7	represents	represent	VERB
cana-1518	121	8	a	a	DET
cana-1518	121	9	more	more	ADV
cana-1518	121	10	accurate	accurate	ADJ
cana-1518	121	11	relation	relation	NOUN
cana-1518	121	12	of	of	ADP
cana-1518	121	13	heat	heat	NOUN
cana-1518	121	14	transfer	transfer	NOUN
cana-1518	121	15	depending	depend	VERB
cana-1518	121	16	on	on	ADP
cana-1518	121	17	contributions	contribution	NOUN
cana-1518	121	18	from	from	ADP
cana-1518	121	19	different	different	ADJ
cana-1518	121	20	mechanisms	mechanism	NOUN
cana-1518	121	21	and	and	CCONJ
cana-1518	121	22	will	will	AUX
cana-1518	121	23	be	be	AUX
cana-1518	121	24	necessary	necessary	ADJ
cana-1518	121	25	step	step	NOUN
cana-1518	121	26	in	in	ADP
cana-1518	121	27	describing	describe	VERB
cana-1518	121	28	thermal	thermal	ADJ
cana-1518	121	29	behaviour	behaviour	NOUN
cana-1518	121	30	as	as	ADP
cana-1518	121	31	well	well	ADV
cana-1518	121	32	designing	designing	NOUN
cana-1518	121	33	processes	process	NOUN
cana-1518	121	34	with	with	ADP
cana-1518	121	35	use	use	NOUN
cana-1518	121	36	nanofluids	nanofluid	NOUN
cana-1518	121	37	.	.	PUNCT
cana-1518	122	1	concentration	concentration	NOUN
cana-1518	122	2	equation	equation	NOUN
cana-1518	122	3	the	the	DET
cana-1518	122	4	concentration	concentration	NOUN
cana-1518	122	5	equation	equation	NOUN
cana-1518	122	6	describes	describe	VERB
cana-1518	122	7	the	the	DET
cana-1518	122	8	distribution	distribution	NOUN
cana-1518	122	9	of	of	ADP
cana-1518	122	10	nanoparticle	nanoparticle	NOUN
cana-1518	122	11	concentration	concentration	NOUN
cana-1518	122	12	within	within	ADP
cana-1518	122	13	the	the	DET
cana-1518	122	14	fluid	fluid	NOUN
cana-1518	122	15	:	:	PUNCT
cana-1518	122	16	𝑢	𝑢	NOUN
cana-1518	122	17	∂𝐶	∂𝐶	X
cana-1518	123	1	∂𝑥	∂𝑥	INTJ
cana-1518	124	1	+	+	ADP
cana-1518	124	2	𝑣	𝑣	PART
cana-1518	124	3	∂𝐶	∂𝐶	INTJ
cana-1518	124	4	∂𝑦	∂𝑦	NOUN
cana-1518	125	1	=	=	SYM
cana-1518	125	2	𝐷𝐵	𝐷𝐵	PROPN
cana-1518	125	3	∂2𝐶	∂2𝐶	VERB
cana-1518	125	4	∂𝑦2	∂𝑦2	NOUN
cana-1518	125	5	+	+	CCONJ
cana-1518	125	6	𝐷𝑇	𝐷𝑇	PROPN
cana-1518	125	7	𝑇∞	𝑇∞	PROPN
cana-1518	125	8	∂2𝑇	∂2𝑇	VERB
cana-1518	125	9	∂𝑦2	∂𝑦2	NOUN
cana-1518	125	10	−	−	PROPN
cana-1518	126	1	𝐾𝑐	𝐾𝑐	VERB
cana-1518	126	2	∗(𝐶	∗(𝐶	PROPN
cana-1518	126	3	−	−	PROPN
cana-1518	126	4	𝐶∞	𝐶∞	PROPN
cana-1518	126	5	)	)	PUNCT
cana-1518	126	6	.	.	PUNCT
cana-1518	127	1	(	(	PUNCT
cana-1518	127	2	7	7	X
cana-1518	127	3	)	)	PUNCT
cana-1518	127	4	this	this	DET
cana-1518	127	5	equation	equation	NOUN
cana-1518	127	6	fully	fully	ADV
cana-1518	127	7	describes	describe	VERB
cana-1518	127	8	the	the	DET
cana-1518	127	9	diffusion	diffusion	NOUN
cana-1518	127	10	and	and	CCONJ
cana-1518	127	11	chemical	chemical	NOUN
cana-1518	127	12	reactions	reaction	NOUN
cana-1518	127	13	of	of	ADP
cana-1518	127	14	nanoparticles	nanoparticle	NOUN
cana-1518	127	15	in	in	ADP
cana-1518	127	16	a	a	DET
cana-1518	127	17	liquid	liquid	NOUN
cana-1518	127	18	,	,	PUNCT
cana-1518	127	19	which	which	PRON
cana-1518	127	20	is	be	AUX
cana-1518	127	21	important	important	ADJ
cana-1518	127	22	for	for	ADP
cana-1518	127	23	understanding	understand	VERB
cana-1518	127	24	concentration	concentration	NOUN
cana-1518	127	25	behavior	behavior	NOUN
cana-1518	127	26	in	in	ADP
cana-1518	127	27	the	the	DET
cana-1518	127	28	boundary	boundary	ADJ
cana-1518	127	29	layer	layer	NOUN
cana-1518	127	30	.	.	PUNCT
cana-1518	128	1	the	the	DET
cana-1518	128	2	first	first	ADJ
cana-1518	128	3	item	item	NOUN
cana-1518	128	4	on	on	ADP
cana-1518	128	5	the	the	DET
cana-1518	128	6	right	right	ADJ
cana-1518	128	7	hand	hand	NOUN
cana-1518	128	8	side	side	NOUN
cana-1518	128	9	of	of	ADP
cana-1518	128	10	equation	equation	NOUN
cana-1518	128	11	3	3	NUM
cana-1518	128	12	corresponds	correspond	NOUN
cana-1518	128	13	to	to	ADP
cana-1518	128	14	the	the	DET
cana-1518	128	15	transport	transport	NOUN
cana-1518	128	16	due	due	ADP
cana-1518	128	17	to	to	ADP
cana-1518	128	18	concentration	concentration	NOUN
cana-1518	128	19	gradients	gradient	NOUN
cana-1518	128	20	,	,	PUNCT
cana-1518	128	21	which	which	PRON
cana-1518	128	22	moves	move	VERB
cana-1518	128	23	particles	particle	NOUN
cana-1518	128	24	towards	towards	ADP
cana-1518	128	25	areas	area	NOUN
cana-1518	128	26	with	with	ADP
cana-1518	128	27	lower	low	ADJ
cana-1518	128	28	particle	particle	NOUN
cana-1518	128	29	concentration	concentration	NOUN
cana-1518	128	30	(	(	PUNCT
cana-1518	128	31	diffusion	diffusion	NOUN
cana-1518	128	32	)	)	PUNCT
cana-1518	128	33	by	by	ADP
cana-1518	128	34	definition	definition	NOUN
cana-1518	128	35	.	.	PUNCT
cana-1518	129	1	the	the	DET
cana-1518	129	2	second	second	ADJ
cana-1518	129	3	one	one	NOUN
cana-1518	129	4	is	be	AUX
cana-1518	129	5	the	the	DET
cana-1518	129	6	term	term	NOUN
cana-1518	129	7	for	for	ADP
cana-1518	129	8	diffusion	diffusion	NOUN
cana-1518	129	9	driven	drive	VERB
cana-1518	129	10	by	by	ADP
cana-1518	129	11	temperature	temperature	NOUN
cana-1518	129	12	gradients	gradient	NOUN
cana-1518	129	13	through	through	ADP
cana-1518	129	14	thermophoresis	thermophoresis	NOUN
cana-1518	129	15	,	,	PUNCT
cana-1518	129	16	which	which	PRON
cana-1518	129	17	causes	cause	VERB
cana-1518	129	18	particles	particle	NOUN
cana-1518	129	19	to	to	PART
cana-1518	129	20	be	be	AUX
cana-1518	129	21	carried	carry	VERB
cana-1518	129	22	in	in	ADP
cana-1518	129	23	a	a	DET
cana-1518	129	24	direction	direction	NOUN
cana-1518	129	25	depending	depend	VERB
cana-1518	129	26	on	on	ADP
cana-1518	129	27	thermal	thermal	ADJ
cana-1518	129	28	differences	difference	NOUN
cana-1518	129	29	and	and	CCONJ
cana-1518	129	30	thus	thus	ADV
cana-1518	129	31	also	also	ADV
cana-1518	129	32	contributes	contribute	VERB
cana-1518	129	33	to	to	ADP
cana-1518	129	34	nanoparticles	nanoparticle	NOUN
cana-1518	129	35	distribution	distribution	NOUN
cana-1518	129	36	.	.	PUNCT
cana-1518	130	1	further	far	ADV
cana-1518	130	2	,	,	PUNCT
cana-1518	130	3	this	this	DET
cana-1518	130	4	chemical	chemical	ADJ
cana-1518	130	5	reaction	reaction	NOUN
cana-1518	130	6	term	term	NOUN
cana-1518	130	7	corresponds	correspond	VERB
cana-1518	130	8	to	to	ADP
cana-1518	130	9	the	the	DET
cana-1518	130	10	inclusion	inclusion	NOUN
cana-1518	130	11	of	of	ADP
cana-1518	130	12	a	a	DET
cana-1518	130	13	reaction	reaction	NOUN
cana-1518	130	14	rate	rate	NOUN
cana-1518	130	15	coefficient	coefficient	NOUN
cana-1518	130	16	(	(	PUNCT
cana-1518	130	17	𝐾𝑐	𝐾𝑐	PROPN
cana-1518	130	18	∗(𝐶	∗(𝐶	PROPN
cana-1518	130	19	−	−	PROPN
cana-1518	130	20	𝐶∞	𝐶∞	PROPN
cana-1518	130	21	)	)	PUNCT
cana-1518	130	22	.	.	PUNCT
cana-1518	131	1	which	which	PRON
cana-1518	131	2	processes	process	VERB
cana-1518	131	3	at	at	ADP
cana-1518	131	4	what	what	DET
cana-1518	131	5	speed	speed	NOUN
cana-1518	131	6	nps	nps	PROPN
cana-1518	131	7	are	be	AUX
cana-1518	131	8	engaged	engage	VERB
cana-1518	131	9	in	in	ADP
cana-1518	131	10	any	any	DET
cana-1518	131	11	kind	kind	NOUN
cana-1518	131	12	of	of	ADP
cana-1518	131	13	reactions	reaction	NOUN
cana-1518	131	14	within	within	ADP
cana-1518	131	15	liquid	liquid	NOUN
cana-1518	131	16	.	.	PUNCT
cana-1518	132	1	types	type	NOUN
cana-1518	132	2	of	of	ADP
cana-1518	132	3	reaction	reaction	NOUN
cana-1518	132	4	that	that	PRON
cana-1518	132	5	follow	follow	VERB
cana-1518	132	6	room	room	NOUN
cana-1518	132	7	-	-	PUNCT
cana-1518	132	8	temperature	temperature	NOUN
cana-1518	132	9	acid	acid	NOUN
cana-1518	132	10	treatment	treatment	NOUN
cana-1518	132	11	can	can	AUX
cana-1518	132	12	cause	cause	VERB
cana-1518	132	13	a	a	DET
cana-1518	132	14	substantial	substantial	ADJ
cana-1518	132	15	change	change	NOUN
cana-1518	132	16	in	in	ADP
cana-1518	132	17	potential	potential	ADJ
cana-1518	132	18	nanoparticle	nanoparticle	NOUN
cana-1518	132	19	concentration	concentration	NOUN
cana-1518	132	20	,	,	PUNCT
cana-1518	132	21	leading	lead	VERB
cana-1518	132	22	to	to	ADP
cana-1518	132	23	either	either	PRON
cana-1518	132	24	depletion	depletion	NOUN
cana-1518	132	25	or	or	CCONJ
cana-1518	132	26	enhancement	enhancement	NOUN
cana-1518	132	27	(	(	PUNCT
cana-1518	132	28	i.e.	i.e.	X
cana-1518	132	29	[	[	X
cana-1518	132	30	nps	nps	X
cana-1518	132	31	]	]	X
cana-1518	132	32	=	=	SYM
cana-1518	132	33	0	0	NUM
cana-1518	132	34	–	–	PUNCT
cana-1518	132	35	and	and	CCONJ
cana-1518	132	36	>	>	DET
cana-1518	132	37	original	original	ADJ
cana-1518	132	38	feed	feed	NOUN
cana-1518	132	39	-	-	PUNCT
cana-1518	132	40	stock	stock	NOUN
cana-1518	132	41	value	value	NOUN
cana-1518	132	42	)	)	PUNCT
cana-1518	132	43	.	.	PUNCT
cana-1518	133	1	these	these	DET
cana-1518	133	2	various	various	ADJ
cana-1518	133	3	processes	process	NOUN
cana-1518	133	4	:	:	PUNCT
cana-1518	133	5	diffusion	diffusion	NOUN
cana-1518	133	6	,	,	PUNCT
cana-1518	133	7	thermophoresis	thermophoresis	NOUN
cana-1518	133	8	and	and	CCONJ
cana-1518	133	9	chemical	chemical	NOUN
cana-1518	133	10	reactions	reaction	NOUN
cana-1518	133	11	interact	interact	VERB
cana-1518	133	12	to	to	PART
cana-1518	133	13	form	form	VERB
cana-1518	133	14	a	a	DET
cana-1518	133	15	complex	complex	ADJ
cana-1518	133	16	concentration	concentration	NOUN
cana-1518	133	17	field	field	NOUN
cana-1518	133	18	within	within	ADP
cana-1518	133	19	the	the	DET
cana-1518	133	20	boundary	boundary	ADJ
cana-1518	133	21	layer	layer	NOUN
cana-1518	133	22	that	that	PRON
cana-1518	133	23	is	be	AUX
cana-1518	133	24	important	important	ADJ
cana-1518	133	25	for	for	ADP
cana-1518	133	26	predicting	predict	VERB
cana-1518	133	27	fluid	fluid	ADJ
cana-1518	133	28	behavior	behavior	NOUN
cana-1518	133	29	in	in	ADP
cana-1518	133	30	those	those	DET
cana-1518	133	31	applications	application	NOUN
cana-1518	133	32	where	where	SCONJ
cana-1518	133	33	nanoparticle	nanoparticle	NOUN
cana-1518	133	34	dynamics	dynamic	NOUN
cana-1518	133	35	are	be	AUX
cana-1518	133	36	of	of	ADP
cana-1518	133	37	concern	concern	NOUN
cana-1518	133	38	.	.	PUNCT
cana-1518	134	1	boundary	boundary	ADJ
cana-1518	134	2	conditions	condition	NOUN
cana-1518	134	3	the	the	DET
cana-1518	134	4	boundary	boundary	ADJ
cana-1518	134	5	conditions	condition	NOUN
cana-1518	134	6	for	for	ADP
cana-1518	134	7	this	this	DET
cana-1518	134	8	problem	problem	NOUN
cana-1518	134	9	are	be	AUX
cana-1518	134	10	specified	specify	VERB
cana-1518	134	11	as	as	SCONJ
cana-1518	134	12	follows	follow	VERB
cana-1518	134	13	:	:	PUNCT
cana-1518	134	14	𝑢	𝑢	X
cana-1518	134	15	=	=	SYM
cana-1518	134	16	𝑈𝑤	𝑈𝑤	PROPN
cana-1518	134	17	=	=	SYM
cana-1518	134	18	𝑎𝑥	𝑎𝑥	NOUN
cana-1518	134	19	,	,	PUNCT
cana-1518	134	20	𝑣	𝑣	X
cana-1518	134	21	=	=	X
cana-1518	135	1	0,−𝑘	0,−𝑘	NUM
cana-1518	135	2	∂𝑇	∂𝑇	NOUN
cana-1518	135	3	∂𝑦	∂𝑦	PUNCT
cana-1518	136	1	=	=	PUNCT
cana-1518	136	2	ℎ𝑓(𝑇𝑤	ℎ𝑓(𝑇𝑤	NOUN
cana-1518	136	3	−	−	NOUN
cana-1518	136	4	𝑇∞	𝑇∞	ADJ
cana-1518	136	5	)	)	PUNCT
cana-1518	136	6	,	,	PUNCT
cana-1518	137	1	𝐷𝐵	𝐷𝐵	PROPN
cana-1518	138	1	∂𝐶	∂𝐶	ADP
cana-1518	139	1	∂𝑦	∂𝑦	PROPN
cana-1518	140	1	+	+	NUM
cana-1518	140	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1518	140	3	𝑇∞	𝑇∞	PROPN
cana-1518	140	4	∂𝑇	∂𝑇	NOUN
cana-1518	141	1	∂𝑦	∂𝑦	PROPN
cana-1518	142	1	=	=	SYM
cana-1518	142	2	0	0	NUM
cana-1518	143	1	at	at	ADP
cana-1518	143	2	𝑦	𝑦	NOUN
cana-1518	143	3	=	=	SYM
cana-1518	143	4	0	0	NUM
cana-1518	143	5	𝑢	𝑢	PROPN
cana-1518	143	6	→	→	SYM
cana-1518	143	7	𝑈∞	𝑈∞	PROPN
cana-1518	143	8	=	=	SYM
cana-1518	143	9	𝑏𝑥	𝑏𝑥	PROPN
cana-1518	143	10	,	,	PUNCT
cana-1518	143	11	𝑇	𝑇	PROPN
cana-1518	143	12	→	→	SYM
cana-1518	143	13	𝑇∞	𝑇∞	PROPN
cana-1518	143	14	,	,	PUNCT
cana-1518	143	15	𝐶	𝐶	PROPN
cana-1518	143	16	→	→	SYM
cana-1518	143	17	𝐶∞	𝐶∞	PROPN
cana-1518	143	18	as	as	ADP
cana-1518	143	19	𝑦	𝑦	NOUN
cana-1518	143	20	→	→	SYM
cana-1518	143	21	∞	∞	NUM
cana-1518	143	22	}	}	PUNCT
cana-1518	143	23	(	(	PUNCT
cana-1518	143	24	8)	8)	NUM
cana-1518	143	25	this	this	DET
cana-1518	143	26	wss	wss	PROPN
cana-1518	143	27	boundary	boundary	ADJ
cana-1518	143	28	conditions	condition	NOUN
cana-1518	143	29	are	be	AUX
cana-1518	143	30	important	important	ADJ
cana-1518	143	31	in	in	ADP
cana-1518	143	32	order	order	NOUN
cana-1518	143	33	to	to	PART
cana-1518	143	34	describe	describe	VERB
cana-1518	143	35	the	the	DET
cana-1518	143	36	behavior	behavior	NOUN
cana-1518	143	37	of	of	ADP
cana-1518	143	38	fluid	fluid	NOUN
cana-1518	143	39	at	at	ADP
cana-1518	143	40	both	both	CCONJ
cana-1518	143	41	its	its	PRON
cana-1518	143	42	boundary	boundary	NOUN
cana-1518	143	43	as	as	ADV
cana-1518	143	44	well	well	ADV
cana-1518	143	45	it	it	PRON
cana-1518	143	46	far	far	ADV
cana-1518	143	47	-	-	PUNCT
cana-1518	143	48	field	field	NOUN
cana-1518	143	49	(	(	PUNCT
cana-1518	143	50	free	free	ADJ
cana-1518	143	51	stream	stream	NOUN
cana-1518	143	52	)	)	PUNCT
cana-1518	143	53	.	.	PUNCT
cana-1518	144	1	the	the	DET
cana-1518	144	2	first	first	ADJ
cana-1518	144	3	constraint	constraint	NOUN
cana-1518	144	4	states	state	NOUN
cana-1518	144	5	that	that	SCONJ
cana-1518	144	6	the	the	DET
cana-1518	144	7	velocity	velocity	NOUN
cana-1518	144	8	of	of	ADP
cana-1518	144	9	fluid	fluid	NOUN
cana-1518	144	10	at	at	ADP
cana-1518	144	11	wall	wall	NOUN
cana-1518	144	12	is	be	AUX
cana-1518	144	13	equal	equal	ADJ
cana-1518	144	14	to	to	ADP
cana-1518	144	15	stretching	stretch	VERB
cana-1518	144	16	rate	rate	NOUN
cana-1518	144	17	corresponding	correspond	VERB
cana-1518	144	18	to	to	PART
cana-1518	144	19	sheet	sheet	VERB
cana-1518	144	20	implying	implying	ADJ
cana-1518	144	21	relative	relative	ADJ
cana-1518	144	22	motion	motion	NOUN
cana-1518	144	23	between	between	ADP
cana-1518	144	24	surface	surface	NOUN
cana-1518	144	25	and	and	CCONJ
cana-1518	144	26	fluid	fluid	NOUN
cana-1518	144	27	.	.	PUNCT
cana-1518	145	1	it	it	PRON
cana-1518	145	2	is	be	AUX
cana-1518	145	3	pivotal	pivotal	ADJ
cana-1518	145	4	,	,	PUNCT
cana-1518	145	5	that	that	SCONJ
cana-1518	145	6	such	such	ADJ
cana-1518	145	7	strides	stride	NOUN
cana-1518	145	8	be	be	AUX
cana-1518	145	9	aligned	align	VERB
cana-1518	145	10	in	in	ADP
cana-1518	145	11	order	order	NOUN
cana-1518	145	12	to	to	PART
cana-1518	145	13	model	model	VERB
cana-1518	145	14	the	the	DET
cana-1518	145	15	flow	flow	NOUN
cana-1518	145	16	near	near	ADP
cana-1518	145	17	boundary	boundary	NOUN
cana-1518	145	18	with	with	ADP
cana-1518	145	19	utmost	utmost	ADJ
cana-1518	145	20	accuracy	accuracy	NOUN
cana-1518	145	21	.	.	PUNCT
cana-1518	146	1	the	the	DET
cana-1518	146	2	second	second	ADJ
cana-1518	146	3	condition	condition	NOUN
cana-1518	146	4	reflects	reflect	VERB
cana-1518	146	5	the	the	DET
cana-1518	146	6	impermeability	impermeability	NOUN
cana-1518	146	7	of	of	ADP
cana-1518	146	8	wall	wall	NOUN
cana-1518	146	9	which	which	PRON
cana-1518	146	10	means	mean	VERB
cana-1518	146	11	that	that	SCONJ
cana-1518	146	12	no	no	DET
cana-1518	146	13	fluid	fluid	NOUN
cana-1518	146	14	passes	pass	VERB
cana-1518	146	15	through	through	ADP
cana-1518	146	16	it	it	PRON
cana-1518	146	17	and	and	CCONJ
cana-1518	146	18	as	as	ADP
cana-1518	146	19	a	a	DET
cana-1518	146	20	result	result	NOUN
cana-1518	146	21	keep	keep	VERB
cana-1518	146	22	the	the	DET
cana-1518	146	23	mass	mass	NOUN
cana-1518	146	24	flow	flow	NOUN
cana-1518	146	25	rate	rate	NOUN
cana-1518	146	26	constant	constant	ADJ
cana-1518	146	27	throughout	throughout	ADV
cana-1518	146	28	.	.	PUNCT
cana-1518	147	1	the	the	DET
cana-1518	147	2	heat	heat	NOUN
cana-1518	147	3	flux	flux	NOUN
cana-1518	147	4	condition	condition	NOUN
cana-1518	147	5	represents	represent	VERB
cana-1518	147	6	the	the	DET
cana-1518	147	7	thermal	thermal	ADJ
cana-1518	147	8	relationship	relationship	NOUN
cana-1518	147	9	between	between	ADP
cana-1518	147	10	the	the	DET
cana-1518	147	11	wall	wall	NOUN
cana-1518	147	12	and	and	CCONJ
cana-1518	147	13	the	the	DET
cana-1518	147	14	fluid	fluid	NOUN
cana-1518	147	15	which	which	PRON
cana-1518	147	16	is	be	AUX
cana-1518	147	17	characterized	characterize	VERB
cana-1518	147	18	by	by	ADP
cana-1518	147	19	k	k	PROPN
cana-1518	147	20	for	for	ADP
cana-1518	147	21	its	its	PRON
cana-1518	147	22	thermal	thermal	ADJ
cana-1518	147	23	conductivity	conductivity	NOUN
cana-1518	147	24	,	,	PUNCT
cana-1518	147	25	basically	basically	ADV
cana-1518	147	26	how	how	SCONJ
cana-1518	147	27	good	good	ADJ
cana-1518	147	28	it	it	PRON
cana-1518	147	29	conducts	conduct	VERB
cana-1518	147	30	heat	heat	VERB
cana-1518	147	31	through	through	ADP
cana-1518	147	32	a	a	DET
cana-1518	147	33	material	material	NOUN
cana-1518	147	34	,	,	PUNCT
cana-1518	147	35	and	and	CCONJ
cana-1518	147	36	hf	hf	VERB
cana-1518	147	37	as	as	ADP
cana-1518	147	38	giving	give	VERB
cana-1518	147	39	how	how	SCONJ
cana-1518	147	40	fast	fast	ADJ
cana-1518	147	41	heat	heat	NOUN
cana-1518	147	42	transfers	transfer	NOUN
cana-1518	147	43	from	from	ADP
cana-1518	147	44	wall	wall	NOUN
cana-1518	147	45	to	to	PART
cana-1518	147	46	fluid	fluid	VERB
cana-1518	147	47	.	.	PUNCT
cana-1518	148	1	at	at	ADP
cana-1518	148	2	the	the	DET
cana-1518	148	3	wall	wall	NOUN
cana-1518	148	4	,	,	PUNCT
cana-1518	148	5	diffusion	diffusion	NOUN
cana-1518	148	6	and	and	CCONJ
cana-1518	148	7	thermophoresis	thermophoresis	NOUN
cana-1518	148	8	serve	serve	VERB
cana-1518	148	9	as	as	ADP
cana-1518	148	10	a	a	DET
cana-1518	148	11	source	source	NOUN
cana-1518	148	12	of	of	ADP
cana-1518	148	13	nanoparticles	nanoparticle	NOUN
cana-1518	148	14	communications	communication	NOUN
cana-1518	148	15	on	on	ADP
cana-1518	148	16	applied	apply	VERB
cana-1518	148	17	nonlinear	nonlinear	ADJ
cana-1518	148	18	analysis	analysis	NOUN
cana-1518	148	19	issn	issn	NOUN
cana-1518	148	20	:	:	PUNCT
cana-1518	148	21	1074	1074	NUM
cana-1518	148	22	-	-	PUNCT
cana-1518	148	23	133x	133x	NUM
cana-1518	148	24	vol	vol	NOUN
cana-1518	148	25	31	31	NUM
cana-1518	148	26	no	no	NOUN
cana-1518	148	27	.	.	PUNCT
cana-1518	149	1	8s	8s	PROPN
cana-1518	149	2	(	(	PUNCT
cana-1518	149	3	2024	2024	NUM
cana-1518	149	4	)	)	PUNCT
cana-1518	149	5	383	383	NUM
cana-1518	149	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	149	7	from	from	ADP
cana-1518	149	8	brownian	brownian	ADJ
cana-1518	149	9	motion	motion	NOUN
cana-1518	149	10	at	at	ADP
cana-1518	149	11	this	this	DET
cana-1518	149	12	line	line	NOUN
cana-1518	149	13	with	with	ADP
cana-1518	149	14	concentration	concentration	NOUN
cana-1518	149	15	boundary	boundary	ADJ
cana-1518	149	16	condition	condition	NOUN
cana-1518	149	17	capturing	capture	VERB
cana-1518	149	18	how	how	SCONJ
cana-1518	149	19	particles	particle	NOUN
cana-1518	149	20	are	be	AUX
cana-1518	149	21	carried	carry	VERB
cana-1518	149	22	into	into	ADP
cana-1518	149	23	regions	region	NOUN
cana-1518	149	24	due	due	ADP
cana-1518	149	25	to	to	ADP
cana-1518	149	26	thermal	thermal	ADJ
cana-1518	149	27	or	or	CCONJ
cana-1518	149	28	concentration	concentration	NOUN
cana-1518	149	29	gradients	gradient	NOUN
cana-1518	149	30	.	.	PUNCT
cana-1518	150	1	these	these	DET
cana-1518	150	2	cars	car	NOUN
cana-1518	150	3	are	be	AUX
cana-1518	150	4	extremely	extremely	ADV
cana-1518	150	5	important	important	ADJ
cana-1518	150	6	for	for	ADP
cana-1518	150	7	accurate	accurate	ADJ
cana-1518	150	8	prediction	prediction	NOUN
cana-1518	150	9	of	of	ADP
cana-1518	150	10	the	the	DET
cana-1518	150	11	thermal	thermal	ADJ
cana-1518	150	12	and	and	CCONJ
cana-1518	150	13	concentration	concentration	NOUN
cana-1518	150	14	profiles	profile	NOUN
cana-1518	150	15	near	near	ADP
cana-1518	150	16	the	the	DET
cana-1518	150	17	boundary	boundary	NOUN
cana-1518	150	18	.	.	PUNCT
cana-1518	151	1	dimensionless	dimensionless	NOUN
cana-1518	151	2	similarity	similarity	NOUN
cana-1518	151	3	transformations	transformation	NOUN
cana-1518	151	4	to	to	PART
cana-1518	151	5	simplify	simplify	VERB
cana-1518	151	6	the	the	DET
cana-1518	151	7	governing	govern	VERB
cana-1518	151	8	equations	equation	NOUN
cana-1518	151	9	,	,	PUNCT
cana-1518	151	10	dimensionless	dimensionless	ADJ
cana-1518	151	11	similarity	similarity	NOUN
cana-1518	151	12	variables	variable	NOUN
cana-1518	151	13	are	be	AUX
cana-1518	151	14	introduced	introduce	VERB
cana-1518	151	15	:	:	PUNCT
cana-1518	151	16	𝜂	𝜂	X
cana-1518	151	17	=	=	PUNCT
cana-1518	151	18	√	√	NUM
cana-1518	151	19	𝑎	𝑎	NOUN
cana-1518	151	20	𝑣𝑓	𝑣𝑓	NOUN
cana-1518	151	21	𝑦	𝑦	NOUN
cana-1518	151	22	,	,	PUNCT
cana-1518	151	23	𝜃(𝜂	𝜃(𝜂	X
cana-1518	151	24	)	)	PUNCT
cana-1518	151	25	=	=	PUNCT
cana-1518	151	26	𝑇−𝑇∞	𝑇−𝑇∞	ADV
cana-1518	151	27	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	ADJ
cana-1518	151	28	,	,	PUNCT
cana-1518	151	29	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1518	151	30	)	)	PUNCT
cana-1518	151	31	=	=	SYM
cana-1518	151	32	𝐶−𝐶∞	𝐶−𝐶∞	PROPN
cana-1518	151	33	𝐶𝑤−𝐶∞	𝐶𝑤−𝐶∞	PROPN
cana-1518	151	34	.	.	PUNCT
cana-1518	152	1	(	(	PUNCT
cana-1518	152	2	9	9	X
cana-1518	152	3	)	)	PUNCT
cana-1518	152	4	crucially	crucially	ADV
cana-1518	152	5	,	,	PUNCT
cana-1518	152	6	these	these	DET
cana-1518	152	7	transformations	transformation	NOUN
cana-1518	152	8	are	be	AUX
cana-1518	152	9	instrumental	instrumental	ADJ
cana-1518	152	10	in	in	ADP
cana-1518	152	11	reducing	reduce	VERB
cana-1518	152	12	the	the	DET
cana-1518	152	13	set	set	NOUN
cana-1518	152	14	of	of	ADP
cana-1518	152	15	complex	complex	ADJ
cana-1518	152	16	partial	partial	ADJ
cana-1518	152	17	differential	differential	NOUN
cana-1518	152	18	equations	equation	NOUN
cana-1518	152	19	(	(	PUNCT
cana-1518	152	20	pdes	pde	NOUN
cana-1518	152	21	)	)	PUNCT
cana-1518	152	22	defining	define	VERB
cana-1518	152	23	flow	flow	NOUN
cana-1518	152	24	and	and	CCONJ
cana-1518	152	25	heat	heat	NOUN
cana-1518	152	26	transfer	transfer	NOUN
cana-1518	152	27	to	to	ADP
cana-1518	152	28	a	a	DET
cana-1518	152	29	simpler	simple	ADJ
cana-1518	152	30	form	form	NOUN
cana-1518	152	31	ordinary	ordinary	ADJ
cana-1518	152	32	differential	differential	ADJ
cana-1518	152	33	equations	equation	NOUN
cana-1518	152	34	(	(	PUNCT
cana-1518	152	35	odes	ode	NOUN
cana-1518	152	36	)	)	PUNCT
cana-1518	152	37	.	.	PUNCT
cana-1518	153	1	the	the	DET
cana-1518	153	2	problem	problem	NOUN
cana-1518	153	3	is	be	AUX
cana-1518	153	4	essentially	essentially	ADV
cana-1518	153	5	simplified	simplify	VERB
cana-1518	153	6	down	down	ADP
cana-1518	153	7	by	by	ADP
cana-1518	153	8	introducing	introduce	VERB
cana-1518	153	9	the	the	DET
cana-1518	153	10	stream	stream	NOUN
cana-1518	153	11	function	function	NOUN
cana-1518	153	12	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1518	153	13	)	)	PUNCT
cana-1518	154	1	=	=	SYM
cana-1518	154	2	𝐶−𝐶∞	𝐶−𝐶∞	PROPN
cana-1518	154	3	𝐶𝑤−𝐶∞	𝐶𝑤−𝐶∞	PROPN
cana-1518	154	4	.	.	PUNCT
cana-1518	155	1	this	this	DET
cana-1518	155	2	stream	stream	NOUN
cana-1518	155	3	function	function	NOUN
cana-1518	155	4	connects	connect	VERB
cana-1518	155	5	the	the	DET
cana-1518	155	6	u	u	NOUN
cana-1518	155	7	and	and	CCONJ
cana-1518	155	8	v	v	NOUN
cana-1518	155	9	velocity	velocity	NOUN
cana-1518	155	10	components	component	NOUN
cana-1518	155	11	to	to	ADP
cana-1518	155	12	fn	fn	PRON
cana-1518	155	13	,	,	PUNCT
cana-1518	155	14	a	a	DET
cana-1518	155	15	function	function	NOUN
cana-1518	155	16	of	of	ADP
cana-1518	155	17	similarity	similarity	NOUN
cana-1518	155	18	variable	variable	NOUN
cana-1518	155	19	n	n	ADV
cana-1518	155	20	.	.	PUNCT
cana-1518	156	1	this	this	DET
cana-1518	156	2	methodology	methodology	NOUN
cana-1518	156	3	not	not	PART
cana-1518	156	4	only	only	ADV
cana-1518	156	5	reduces	reduce	VERB
cana-1518	156	6	the	the	DET
cana-1518	156	7	analysis	analysis	NOUN
cana-1518	156	8	to	to	ADP
cana-1518	156	9	a	a	DET
cana-1518	156	10	simple	simple	ADJ
cana-1518	156	11	configuration	configuration	NOUN
cana-1518	156	12	but	but	CCONJ
cana-1518	156	13	also	also	ADV
cana-1518	156	14	helps	help	VERB
cana-1518	156	15	in	in	ADP
cana-1518	156	16	solving	solve	VERB
cana-1518	156	17	these	these	DET
cana-1518	156	18	equations	equation	NOUN
cana-1518	156	19	numerically	numerically	ADV
cana-1518	156	20	,	,	PUNCT
cana-1518	156	21	thus	thus	ADV
cana-1518	156	22	making	make	VERB
cana-1518	156	23	it	it	PRON
cana-1518	156	24	easier	easy	ADJ
cana-1518	156	25	and	and	CCONJ
cana-1518	156	26	more	more	ADV
cana-1518	156	27	accurate	accurate	ADJ
cana-1518	156	28	for	for	ADP
cana-1518	156	29	studying	study	VERB
cana-1518	156	30	fluid	fluid	ADJ
cana-1518	156	31	flow	flow	NOUN
cana-1518	156	32	behavior	behavior	NOUN
cana-1518	156	33	and	and	CCONJ
cana-1518	156	34	heat	heat	NOUN
cana-1518	156	35	transfer	transfer	NOUN
cana-1518	156	36	characteristics	characteristic	NOUN
cana-1518	156	37	under	under	ADP
cana-1518	156	38	similar	similar	ADJ
cana-1518	156	39	circumstances	circumstance	NOUN
cana-1518	156	40	.	.	PUNCT
cana-1518	157	1	transformations	transformation	NOUN
cana-1518	157	2	reduce	reduce	VERB
cana-1518	157	3	the	the	DET
cana-1518	157	4	number	number	NOUN
cana-1518	157	5	of	of	ADP
cana-1518	157	6	variables	variable	NOUN
cana-1518	157	7	&	&	CCONJ
cana-1518	157	8	equations	equation	NOUN
cana-1518	157	9	,	,	PUNCT
cana-1518	157	10	and	and	CCONJ
cana-1518	157	11	allow	allow	VERB
cana-1518	157	12	us	we	PRON
cana-1518	157	13	to	to	PART
cana-1518	157	14	concentrate	concentrate	VERB
cana-1518	157	15	on	on	ADP
cana-1518	157	16	solving	solve	VERB
cana-1518	157	17	ordinary	ordinary	ADJ
cana-1518	157	18	differential	differential	ADJ
cana-1518	157	19	equations	equation	NOUN
cana-1518	157	20	(	(	PUNCT
cana-1518	157	21	ode	ode	PROPN
cana-1518	157	22	's	's	PART
cana-1518	157	23	)	)	PUNCT
cana-1518	157	24	,	,	PUNCT
cana-1518	157	25	which	which	PRON
cana-1518	157	26	can	can	AUX
cana-1518	157	27	then	then	ADV
cana-1518	157	28	be	be	AUX
cana-1518	157	29	treated	treat	VERB
cana-1518	157	30	with	with	ADP
cana-1518	157	31	standard	standard	ADJ
cana-1518	157	32	numerical	numerical	ADJ
cana-1518	157	33	recipes	recipe	NOUN
cana-1518	157	34	.	.	PUNCT
cana-1518	158	1	radiative	radiative	ADJ
cana-1518	158	2	heat	heat	NOUN
cana-1518	158	3	flux	flux	NOUN
cana-1518	158	4	and	and	CCONJ
cana-1518	158	5	heat	heat	PROPN
cana-1518	158	6	source	source	NOUN
cana-1518	158	7	/	/	SYM
cana-1518	158	8	sink	sink	VERB
cana-1518	158	9	the	the	DET
cana-1518	158	10	radiative	radiative	ADJ
cana-1518	158	11	heat	heat	NOUN
cana-1518	158	12	flux	flux	NOUN
cana-1518	158	13	is	be	AUX
cana-1518	158	14	modeled	model	VERB
cana-1518	158	15	using	use	VERB
cana-1518	158	16	the	the	DET
cana-1518	158	17	rosseland	rosseland	NOUN
cana-1518	158	18	approximation	approximation	NOUN
cana-1518	158	19	:	:	PUNCT
cana-1518	159	1	𝑞𝑟	𝑞𝑟	PROPN
cana-1518	159	2	=	=	PUNCT
cana-1518	159	3	−	−	PROPN
cana-1518	159	4	4𝜎∗	4𝜎∗	NUM
cana-1518	159	5	3𝑘∗	3𝑘∗	NUM
cana-1518	159	6	∂𝑇4	∂𝑇4	NOUN
cana-1518	159	7	∂𝑦	∂𝑦	ADJ
cana-1518	160	1	=	=	PUNCT
cana-1518	160	2	−	−	PROPN
cana-1518	160	3	16𝜎∗	16𝜎∗	NUM
cana-1518	161	1	3𝑘∗	3𝑘∗	NUM
cana-1518	161	2	𝑇∞	𝑇∞	ADJ
cana-1518	161	3	3	3	NUM
cana-1518	161	4	∂𝑇	∂𝑇	PROPN
cana-1518	161	5	∂𝑦	∂𝑦	PROPN
cana-1518	161	6	,	,	PUNCT
cana-1518	161	7	(	(	PUNCT
cana-1518	161	8	10	10	NUM
cana-1518	161	9	)	)	PUNCT
cana-1518	161	10	where	where	SCONJ
cana-1518	161	11	𝜎∗	𝜎∗	PROPN
cana-1518	161	12	is	be	AUX
cana-1518	161	13	the	the	DET
cana-1518	161	14	stefan	stefan	PROPN
cana-1518	161	15	-	-	PUNCT
cana-1518	161	16	boltzmann	boltzmann	PROPN
cana-1518	161	17	constant	constant	PROPN
cana-1518	161	18	,	,	PUNCT
cana-1518	161	19	and	and	CCONJ
cana-1518	161	20	k	k	PROPN
cana-1518	161	21	*	*	PUNCT
cana-1518	161	22	,	,	PUNCT
cana-1518	161	23	is	be	AUX
cana-1518	161	24	mean	mean	ADJ
cana-1518	161	25	absorption	absorption	NOUN
cana-1518	161	26	coefficient	coefficient	NOUN
cana-1518	161	27	.	.	PUNCT
cana-1518	162	1	in	in	ADP
cana-1518	162	2	this	this	DET
cana-1518	162	3	context	context	NOUN
cana-1518	162	4	,	,	PUNCT
cana-1518	162	5	the	the	DET
cana-1518	162	6	rosseland	rosseland	NOUN
cana-1518	162	7	approximation	approximation	NOUN
cana-1518	162	8	is	be	AUX
cana-1518	162	9	employed	employ	VERB
cana-1518	162	10	to	to	PART
cana-1518	162	11	facilitate	facilitate	VERB
cana-1518	162	12	the	the	DET
cana-1518	162	13	linearization	linearization	NOUN
cana-1518	162	14	from	from	ADP
cana-1518	162	15	temperature	temperature	NOUN
cana-1518	162	16	dependence	dependence	NOUN
cana-1518	162	17	on	on	ADP
cana-1518	162	18	a	a	DET
cana-1518	162	19	highly	highly	ADV
cana-1518	162	20	nonlinear	nonlinear	ADJ
cana-1518	162	21	radiative	radiative	ADJ
cana-1518	162	22	heat	heat	NOUN
cana-1518	162	23	transfer	transfer	NOUN
cana-1518	162	24	term	term	NOUN
cana-1518	162	25	which	which	PRON
cana-1518	162	26	recommends	recommend	VERB
cana-1518	162	27	when	when	SCONJ
cana-1518	162	28	within	within	ADP
cana-1518	162	29	-	-	PUNCT
cana-1518	162	30	boundary	boundary	ADJ
cana-1518	162	31	-	-	PUNCT
cana-1518	162	32	layer	layer	NOUN
cana-1518	162	33	temperature	temperature	NOUN
cana-1518	162	34	differences	difference	NOUN
cana-1518	162	35	are	be	AUX
cana-1518	162	36	sufficiently	sufficiently	ADV
cana-1518	162	37	small	small	ADJ
cana-1518	162	38	.	.	PUNCT
cana-1518	163	1	this	this	DET
cana-1518	163	2	linearization	linearization	NOUN
cana-1518	163	3	simplifies	simplify	VERB
cana-1518	163	4	the	the	DET
cana-1518	163	5	mathematical	mathematical	ADJ
cana-1518	163	6	treatment	treatment	NOUN
cana-1518	163	7	of	of	ADP
cana-1518	163	8	radiative	radiative	ADJ
cana-1518	163	9	heat	heat	NOUN
cana-1518	163	10	transfer	transfer	NOUN
cana-1518	163	11	,	,	PUNCT
cana-1518	163	12	meaning	mean	VERB
cana-1518	163	13	rather	rather	ADV
cana-1518	163	14	than	than	ADP
cana-1518	163	15	adding	add	VERB
cana-1518	163	16	an	an	DET
cana-1518	163	17	entire	entire	ADJ
cana-1518	163	18	new	new	ADJ
cana-1518	163	19	equation	equation	NOUN
cana-1518	163	20	for	for	ADP
cana-1518	163	21	radiation	radiation	NOUN
cana-1518	163	22	thermal	thermal	ADJ
cana-1518	163	23	energy	energy	NOUN
cana-1518	163	24	transport	transport	NOUN
cana-1518	163	25	(	(	PUNCT
cana-1518	163	26	which	which	PRON
cana-1518	163	27	would	would	AUX
cana-1518	163	28	be	be	AUX
cana-1518	163	29	a	a	DET
cana-1518	163	30	mess	mess	NOUN
cana-1518	163	31	)	)	PUNCT
cana-1518	163	32	,	,	PUNCT
cana-1518	163	33	you	you	PRON
cana-1518	163	34	could	could	AUX
cana-1518	163	35	instead	instead	ADV
cana-1518	163	36	include	include	VERB
cana-1518	163	37	just	just	ADV
cana-1518	163	38	that	that	DET
cana-1518	163	39	additive	additive	NOUN
cana-1518	163	40	in	in	ADP
cana-1518	163	41	your	your	PRON
cana-1518	163	42	model	model	NOUN
cana-1518	163	43	without	without	ADP
cana-1518	163	44	making	make	VERB
cana-1518	163	45	it	it	PRON
cana-1518	163	46	too	too	ADV
cana-1518	163	47	much	much	ADV
cana-1518	163	48	more	more	ADV
cana-1518	163	49	complicated	complicated	ADJ
cana-1518	163	50	.	.	PUNCT
cana-1518	164	1	this	this	PRON
cana-1518	164	2	is	be	AUX
cana-1518	164	3	necessary	necessary	ADJ
cana-1518	164	4	for	for	ADP
cana-1518	164	5	the	the	DET
cana-1518	164	6	sake	sake	NOUN
cana-1518	164	7	of	of	ADP
cana-1518	164	8	accuracy	accuracy	NOUN
cana-1518	164	9	and	and	CCONJ
cana-1518	164	10	model	model	NOUN
cana-1518	164	11	tractability	tractability	NOUN
cana-1518	164	12	,	,	PUNCT
cana-1518	164	13	particularly	particularly	ADV
cana-1518	164	14	in	in	ADP
cana-1518	164	15	radiation	radiation	NOUN
cana-1518	164	16	-	-	PUNCT
cana-1518	164	17	dominated	dominate	VERB
cana-1518	164	18	heat	heat	NOUN
cana-1518	164	19	transfer	transfer	NOUN
cana-1518	164	20	processes	process	NOUN
cana-1518	164	21	such	such	ADJ
cana-1518	164	22	as	as	ADP
cana-1518	164	23	those	those	PRON
cana-1518	164	24	experienced	experience	VERB
cana-1518	164	25	by	by	ADP
cana-1518	164	26	high	high	ADJ
cana-1518	164	27	temperature	temperature	NOUN
cana-1518	164	28	systems	system	NOUN
cana-1518	164	29	.	.	PUNCT
cana-1518	165	1	the	the	DET
cana-1518	165	2	heat	heat	NOUN
cana-1518	165	3	source	source	NOUN
cana-1518	165	4	/	/	SYM
cana-1518	165	5	sink	sink	NOUN
cana-1518	165	6	term	term	NOUN
cana-1518	165	7	𝑞′′′	𝑞′′′	NOUN
cana-1518	165	8	is	be	AUX
cana-1518	165	9	given	give	VERB
cana-1518	165	10	by	by	ADP
cana-1518	165	11	:	:	PUNCT
cana-1518	165	12	𝑞′′′	𝑞′′′	NOUN
cana-1518	165	13	=	=	PUNCT
cana-1518	165	14	𝑘𝑈𝑤	𝑘𝑈𝑤	X
cana-1518	165	15	𝑥𝑣𝑓	𝑥𝑣𝑓	NOUN
cana-1518	165	16	[	[	X
cana-1518	165	17	𝐴∗(𝑇𝑤	𝐴∗(𝑇𝑤	NOUN
cana-1518	165	18	−	−	NOUN
cana-1518	165	19	𝑇∞)𝑓	𝑇∞)𝑓	NOUN
cana-1518	165	20	′	′	NUM
cana-1518	166	1	+	+	CCONJ
cana-1518	166	2	𝐵∗(𝑇	𝐵∗(𝑇	PRON
cana-1518	166	3	−	−	PROPN
cana-1518	166	4	𝑇∞	𝑇∞	PROPN
cana-1518	166	5	)	)	PUNCT
cana-1518	166	6	]	]	PUNCT
cana-1518	166	7	(	(	PUNCT
cana-1518	166	8	11	11	NUM
cana-1518	166	9	)	)	PUNCT
cana-1518	166	10	here	here	ADV
cana-1518	166	11	a	a	PRON
cana-1518	166	12	*	*	PUNCT
cana-1518	166	13	and	and	CCONJ
cana-1518	166	14	b	b	X
cana-1518	166	15	*	*	PUNCT
cana-1518	166	16	model	model	NOUN
cana-1518	166	17	the	the	DET
cana-1518	166	18	non	non	ADJ
cana-1518	166	19	-	-	ADJ
cana-1518	166	20	uniform	uniform	ADJ
cana-1518	166	21	heat	heat	NOUN
cana-1518	166	22	source	source	NOUN
cana-1518	166	23	or	or	CCONJ
cana-1518	166	24	sink	sink	NOUN
cana-1518	166	25	in	in	ADP
cana-1518	166	26	the	the	DET
cana-1518	166	27	fluid	fluid	NOUN
cana-1518	166	28	where	where	SCONJ
cana-1518	166	29	they	they	PRON
cana-1518	166	30	are	be	AUX
cana-1518	166	31	coefficients	coefficient	NOUN
cana-1518	166	32	representing	represent	VERB
cana-1518	166	33	spatially	spatially	ADV
cana-1518	166	34	-	-	PUNCT
cana-1518	166	35	dependent	dependent	ADJ
cana-1518	166	36	space	space	NOUN
cana-1518	166	37	-	-	PUNCT
cana-1518	166	38	and	and	CCONJ
cana-1518	166	39	temperature	temperature	NOUN
cana-1518	166	40	-	-	PUNCT
cana-1518	166	41	depended	depended	ADJ
cana-1518	166	42	rates	rate	NOUN
cana-1518	166	43	of	of	ADP
cana-1518	166	44	heat	heat	NOUN
cana-1518	166	45	generation	generation	NOUN
cana-1518	166	46	/	/	SYM
cana-1518	166	47	absorption	absorption	NOUN
cana-1518	166	48	.	.	PUNCT
cana-1518	167	1	these	these	DET
cana-1518	167	2	coefficients	coefficient	NOUN
cana-1518	167	3	include	include	VERB
cana-1518	167	4	constant	constant	ADJ
cana-1518	167	5	factors	factor	NOUN
cana-1518	167	6	in	in	ADP
cana-1518	167	7	the	the	DET
cana-1518	167	8	fluid	fluid	NOUN
cana-1518	167	9	which	which	PRON
cana-1518	167	10	normalises	normalise	VERB
cana-1518	167	11	to	to	PART
cana-1518	167	12	heat	heat	VERB
cana-1518	167	13	production	production	NOUN
cana-1518	167	14	or	or	CCONJ
cana-1518	167	15	absorption	absorption	NOUN
cana-1518	167	16	within	within	ADP
cana-1518	167	17	the	the	DET
cana-1518	167	18	fluid	fluid	NOUN
cana-1518	167	19	,	,	PUNCT
cana-1518	167	20	an	an	DET
cana-1518	167	21	exterior	exterior	ADJ
cana-1518	167	22	factor	factor	NOUN
cana-1518	167	23	as	as	ADP
cana-1518	167	24	varying	vary	VERB
cana-1518	167	25	thermal	thermal	ADJ
cana-1518	167	26	loads	load	NOUN
cana-1518	167	27	and	and	CCONJ
cana-1518	167	28	internally	internally	ADV
cana-1518	167	29	produced	produce	VERB
cana-1518	167	30	by	by	ADP
cana-1518	167	31	chemical	chemical	ADJ
cana-1518	167	32	reactions	reaction	NOUN
cana-1518	167	33	.	.	PUNCT
cana-1518	168	1	this	this	DET
cana-1518	168	2	spatial	spatial	ADJ
cana-1518	168	3	and	and	CCONJ
cana-1518	168	4	temperature	temperature	NOUN
cana-1518	168	5	dependence	dependence	NOUN
cana-1518	168	6	is	be	AUX
cana-1518	168	7	essential	essential	ADJ
cana-1518	168	8	for	for	SCONJ
cana-1518	168	9	an	an	DET
cana-1518	168	10	accurate	accurate	ADJ
cana-1518	168	11	modeling	modeling	NOUN
cana-1518	168	12	of	of	ADP
cana-1518	168	13	communications	communication	NOUN
cana-1518	168	14	on	on	ADP
cana-1518	168	15	applied	apply	VERB
cana-1518	168	16	nonlinear	nonlinear	ADJ
cana-1518	168	17	analysis	analysis	NOUN
cana-1518	168	18	issn	issn	NOUN
cana-1518	168	19	:	:	PUNCT
cana-1518	168	20	1074	1074	NUM
cana-1518	168	21	-	-	PUNCT
cana-1518	168	22	133x	133x	NUM
cana-1518	168	23	vol	vol	NOUN
cana-1518	168	24	31	31	NUM
cana-1518	168	25	no	no	NOUN
cana-1518	168	26	.	.	PUNCT
cana-1518	169	1	8s	8s	PROPN
cana-1518	169	2	(	(	PUNCT
cana-1518	169	3	2024	2024	NUM
cana-1518	169	4	)	)	PUNCT
cana-1518	169	5	384	384	NUM
cana-1518	169	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	169	7	the	the	DET
cana-1518	169	8	thermal	thermal	ADJ
cana-1518	169	9	behavior	behavior	NOUN
cana-1518	169	10	of	of	ADP
cana-1518	169	11	the	the	DET
cana-1518	169	12	fluid	fluid	NOUN
cana-1518	169	13	,	,	PUNCT
cana-1518	169	14	especially	especially	ADV
cana-1518	169	15	in	in	ADP
cana-1518	169	16	engineering	engineering	NOUN
cana-1518	169	17	applications	application	NOUN
cana-1518	169	18	where	where	SCONJ
cana-1518	169	19	uniform	uniform	ADJ
cana-1518	169	20	heat	heat	NOUN
cana-1518	169	21	distribution	distribution	NOUN
cana-1518	169	22	does	do	AUX
cana-1518	169	23	not	not	PART
cana-1518	169	24	exist	exist	VERB
cana-1518	169	25	.	.	PUNCT
cana-1518	170	1	final	final	ADJ
cana-1518	170	2	form	form	NOUN
cana-1518	170	3	of	of	ADP
cana-1518	170	4	the	the	DET
cana-1518	170	5	governing	govern	VERB
cana-1518	170	6	equations	equation	NOUN
cana-1518	170	7	after	after	ADP
cana-1518	170	8	applying	apply	VERB
cana-1518	170	9	the	the	DET
cana-1518	170	10	similarity	similarity	NOUN
cana-1518	170	11	transformations	transformation	NOUN
cana-1518	170	12	,	,	PUNCT
cana-1518	170	13	the	the	DET
cana-1518	170	14	governing	govern	VERB
cana-1518	170	15	equations	equation	NOUN
cana-1518	170	16	reduce	reduce	VERB
cana-1518	170	17	to	to	ADP
cana-1518	170	18	the	the	DET
cana-1518	170	19	following	follow	VERB
cana-1518	170	20	set	set	NOUN
cana-1518	170	21	of	of	ADP
cana-1518	170	22	coupled	couple	VERB
cana-1518	170	23	nonlinear	nonlinear	ADJ
cana-1518	170	24	ordinary	ordinary	ADJ
cana-1518	170	25	differential	differential	ADJ
cana-1518	170	26	equations	equation	NOUN
cana-1518	170	27	:	:	PUNCT
cana-1518	170	28	(	(	PUNCT
cana-1518	170	29	1	1	NUM
cana-1518	170	30	+	+	SYM
cana-1518	170	31	1	1	NUM
cana-1518	170	32	𝛽	𝛽	NOUN
cana-1518	170	33	)	)	PUNCT
cana-1518	170	34	𝑓′′′	𝑓′′′	PROPN
cana-1518	171	1	+	+	CCONJ
cana-1518	171	2	𝑓𝑓′′	𝑓𝑓′′	ADJ
cana-1518	171	3	−	−	PROPN
cana-1518	171	4	𝑓′2	𝑓′2	NOUN
cana-1518	171	5	+	+	X
cana-1518	171	6	𝜆2	𝜆2	NOUN
cana-1518	171	7	+	+	CCONJ
cana-1518	172	1	(	(	PUNCT
cana-1518	172	2	𝑀sin2	𝑀sin2	PROPN
cana-1518	172	3	𝛾	𝛾	ADP
cana-1518	172	4	+	+	X
cana-1518	172	5	𝐾𝑝)(𝜆	𝐾𝑝)(𝜆	NUM
cana-1518	172	6	−	−	PROPN
cana-1518	172	7	𝑓′	𝑓′	NUM
cana-1518	172	8	)	)	PUNCT
cana-1518	172	9	=	=	SYM
cana-1518	172	10	0	0	NUM
cana-1518	172	11	,	,	PUNCT
cana-1518	172	12	(	(	PUNCT
cana-1518	172	13	12	12	NUM
cana-1518	172	14	)	)	PUNCT
cana-1518	172	15	(	(	PUNCT
cana-1518	172	16	1	1	NUM
cana-1518	172	17	+	+	NUM
cana-1518	172	18	4	4	NUM
cana-1518	172	19	3	3	NUM
cana-1518	172	20	𝑅)𝜃′′	𝑅)𝜃′′	NOUN
cana-1518	172	21	+	+	NUM
cana-1518	172	22	pr	pr	X
cana-1518	172	23	[	[	PUNCT
cana-1518	172	24	𝑓𝜃′	𝑓𝜃′	PROPN
cana-1518	172	25	+	+	CCONJ
cana-1518	172	26	𝑁𝑏𝜃′𝜙′	𝑁𝑏𝜃′𝜙′	ADJ
cana-1518	172	27	+	+	CCONJ
cana-1518	172	28	𝑁𝑡(𝜃′)2	𝑁𝑡(𝜃′)2	ADJ
cana-1518	172	29	+	+	CCONJ
cana-1518	172	30	(	(	PUNCT
cana-1518	172	31	1	1	NUM
cana-1518	172	32	+	+	SYM
cana-1518	172	33	1	1	NUM
cana-1518	172	34	𝛽	𝛽	NOUN
cana-1518	172	35	)	)	PUNCT
cana-1518	172	36	𝐸𝑐𝑓′′2	𝐸𝑐𝑓′′2	PROPN
cana-1518	172	37	+	+	CCONJ
cana-1518	172	38	𝐸𝑐𝑀sin2	𝐸𝑐𝑀sin2	NOUN
cana-1518	172	39	𝛾𝑓′2	𝛾𝑓′2	NOUN
cana-1518	172	40	]	]	PUNCT
cana-1518	172	41	(	(	PUNCT
cana-1518	172	42	13	13	NUM
cana-1518	172	43	)	)	PUNCT
cana-1518	172	44	+	+	ADJ
cana-1518	172	45	(	(	PUNCT
cana-1518	172	46	𝐴∗𝑓′	𝐴∗𝑓′	NUM
cana-1518	172	47	+	+	NUM
cana-1518	172	48	𝐵∗𝜃	𝐵∗𝜃	NOUN
cana-1518	172	49	)	)	PUNCT
cana-1518	172	50	=	=	SYM
cana-1518	172	51	0	0	NUM
cana-1518	172	52	,	,	PUNCT
cana-1518	172	53	(	(	PUNCT
cana-1518	172	54	14	14	NUM
cana-1518	172	55	)	)	PUNCT
cana-1518	172	56	𝜙′′	𝜙′′	PROPN
cana-1518	172	57	+	+	CCONJ
cana-1518	172	58	𝑆𝑐𝑓𝜙′	𝑆𝑐𝑓𝜙′	X
cana-1518	172	59	+	+	CCONJ
cana-1518	172	60	𝑁𝑡	𝑁𝑡	PROPN
cana-1518	172	61	𝑁𝑏	𝑁𝑏	PROPN
cana-1518	172	62	𝜃′′	𝜃′′	NOUN
cana-1518	172	63	−	−	PROPN
cana-1518	173	1	𝐾𝑐𝑆𝑐𝜙	𝐾𝑐𝑆𝑐𝜙	PROPN
cana-1518	173	2	=	=	SYM
cana-1518	173	3	0	0	NUM
cana-1518	173	4	,	,	PUNCT
cana-1518	173	5	(	(	PUNCT
cana-1518	173	6	15	15	X
cana-1518	173	7	)	)	PUNCT
cana-1518	173	8	these	these	DET
cana-1518	173	9	equations	equation	NOUN
cana-1518	173	10	are	be	AUX
cana-1518	173	11	then	then	ADV
cana-1518	173	12	subject	subject	ADJ
cana-1518	173	13	to	to	ADP
cana-1518	173	14	the	the	DET
cana-1518	173	15	boundary	boundary	ADJ
cana-1518	173	16	conditions	condition	NOUN
cana-1518	173	17	:	:	PUNCT
cana-1518	173	18	𝑓(𝜂	𝑓(𝜂	X
cana-1518	173	19	)	)	PUNCT
cana-1518	173	20	=	=	SYM
cana-1518	173	21	0	0	NUM
cana-1518	173	22	,	,	PUNCT
cana-1518	173	23	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-1518	173	24	)	)	PUNCT
cana-1518	173	25	=	=	SYM
cana-1518	173	26	1	1	NUM
cana-1518	173	27	,	,	PUNCT
cana-1518	173	28	𝜃′(𝜂	𝜃′(𝜂	NOUN
cana-1518	173	29	)	)	PUNCT
cana-1518	173	30	=	=	SYM
cana-1518	173	31	𝐵𝑖[𝜃(𝜂	𝐵𝑖[𝜃(𝜂	X
cana-1518	173	32	)	)	PUNCT
cana-1518	173	33	−	−	PROPN
cana-1518	173	34	1	1	NUM
cana-1518	173	35	]	]	X
cana-1518	173	36	,	,	PUNCT
cana-1518	173	37	𝑁𝑏𝜙′(𝜂	𝑁𝑏𝜙′(𝜂	ADJ
cana-1518	173	38	)	)	PUNCT
cana-1518	173	39	(	(	PUNCT
cana-1518	173	40	16	16	NUM
cana-1518	173	41	)	)	PUNCT
cana-1518	174	1	+	+	NOUN
cana-1518	174	2	𝑁𝑡𝜃′(𝜂	𝑁𝑡𝜃′(𝜂	X
cana-1518	174	3	)	)	PUNCT
cana-1518	174	4	=	=	SYM
cana-1518	175	1	0	0	NUM
cana-1518	176	1	at	at	ADP
cana-1518	176	2	𝜂	𝜂	NOUN
cana-1518	176	3	=	=	SYM
cana-1518	176	4	0	0	NUM
cana-1518	176	5	,	,	PUNCT
cana-1518	176	6	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-1518	176	7	)	)	PUNCT
cana-1518	176	8	→	→	SYM
cana-1518	176	9	𝜆	𝜆	X
cana-1518	176	10	,	,	PUNCT
cana-1518	176	11	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1518	176	12	)	)	PUNCT
cana-1518	176	13	→	→	SYM
cana-1518	176	14	0	0	NUM
cana-1518	176	15	,	,	PUNCT
cana-1518	176	16	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1518	176	17	)	)	PUNCT
cana-1518	176	18	→	→	SYM
cana-1518	176	19	0	0	NUM
cana-1518	176	20	as	as	ADP
cana-1518	176	21	𝜂	𝜂	PROPN
cana-1518	176	22	→	→	SYM
cana-1518	176	23	∞.	∞.	PROPN
cana-1518	176	24	(	(	PUNCT
cana-1518	176	25	17	17	NUM
cana-1518	176	26	)	)	PUNCT
cana-1518	176	27	physical	physical	ADJ
cana-1518	176	28	significance	significance	NOUN
cana-1518	176	29	and	and	CCONJ
cana-1518	176	30	implications	implication	NOUN
cana-1518	176	31	these	these	DET
cana-1518	176	32	equations	equation	NOUN
cana-1518	176	33	represent	represent	VERB
cana-1518	176	34	the	the	DET
cana-1518	176	35	most	most	ADV
cana-1518	176	36	complete	complete	ADJ
cana-1518	176	37	description	description	NOUN
cana-1518	176	38	of	of	ADP
cana-1518	176	39	fluid	fluid	ADJ
cana-1518	176	40	flow	flow	NOUN
cana-1518	176	41	,	,	PUNCT
cana-1518	176	42	temperature	temperature	NOUN
cana-1518	176	43	distribution	distribution	NOUN
cana-1518	176	44	and	and	CCONJ
cana-1518	176	45	nanoparticle	nanoparticle	NOUN
cana-1518	176	46	concentration	concentration	NOUN
cana-1518	176	47	within	within	ADP
cana-1518	176	48	a	a	DET
cana-1518	176	49	boundary	boundary	ADJ
cana-1518	176	50	layer	layer	NOUN
cana-1518	176	51	to	to	ADP
cana-1518	176	52	date	date	NOUN
cana-1518	176	53	,	,	PUNCT
cana-1518	176	54	with	with	SCONJ
cana-1518	176	55	all	all	DET
cana-1518	176	56	dimensionless	dimensionless	NOUN
cana-1518	176	57	parameters	parameter	NOUN
cana-1518	176	58	relevant	relevant	ADJ
cana-1518	176	59	for	for	ADP
cana-1518	176	60	general	general	ADJ
cana-1518	176	61	physical	physical	ADJ
cana-1518	176	62	insight	insight	NOUN
cana-1518	176	63	present	present	NOUN
cana-1518	176	64	in	in	ADP
cana-1518	176	65	the	the	DET
cana-1518	176	66	equation	equation	NOUN
cana-1518	176	67	set	set	VERB
cana-1518	176	68	.	.	PUNCT
cana-1518	177	1	the	the	DET
cana-1518	177	2	stretching	stretching	NOUN
cana-1518	177	3	ratio	ratio	NOUN
cana-1518	177	4	,	,	PUNCT
cana-1518	177	5	represented	represent	VERB
cana-1518	177	6	bysymbol	bysymbol	NOUN
cana-1518	177	7	λ	λ	PROPN
cana-1518	177	8	)	)	PUNCT
cana-1518	177	9	,	,	PUNCT
cana-1518	177	10	determines	determine	VERB
cana-1518	177	11	how	how	SCONJ
cana-1518	177	12	the	the	DET
cana-1518	177	13	boundary	boundary	ADJ
cana-1518	177	14	layer	layer	NOUN
cana-1518	177	15	develops	develop	VERB
cana-1518	177	16	in	in	ADP
cana-1518	177	17	presence	presence	NOUN
cana-1518	177	18	of	of	ADP
cana-1518	177	19	stretch	stretch	NOUN
cana-1518	177	20	effects	effect	NOUN
cana-1518	177	21	.	.	PUNCT
cana-1518	178	1	where	where	SCONJ
cana-1518	178	2	the	the	DET
cana-1518	178	3	magnetic	magnetic	ADJ
cana-1518	178	4	parameter	parameter	NOUN
cana-1518	178	5	(	(	PUNCT
cana-1518	178	6	m	m	NOUN
cana-1518	178	7	)	)	PUNCT
cana-1518	178	8	influences	influence	VERB
cana-1518	178	9	the	the	DET
cana-1518	178	10	effect	effect	NOUN
cana-1518	178	11	of	of	ADP
cana-1518	178	12	a	a	DET
cana-1518	178	13	magnetic	magnetic	ADJ
cana-1518	178	14	field	field	NOUN
cana-1518	178	15	on	on	ADP
cana-1518	178	16	fluid	fluid	ADJ
cana-1518	178	17	flow	flow	NOUN
cana-1518	178	18	,	,	PUNCT
cana-1518	178	19	and	and	CCONJ
cana-1518	178	20	permeability	permeability	NOUN
cana-1518	178	21	parameter	parameter	NOUN
cana-1518	178	22	kp	kp	PROPN
cana-1518	178	23	as	as	ADV
cana-1518	178	24	well	well	ADV
cana-1518	178	25	as	as	ADP
cana-1518	178	26	radiation	radiation	NOUN
cana-1518	178	27	sc	sc	PROPN
cana-1518	178	28	contribute	contribute	VERB
cana-1518	178	29	to	to	PART
cana-1518	178	30	change	change	VERB
cana-1518	178	31	in	in	ADP
cana-1518	178	32	behavior	behavior	NOUN
cana-1518	178	33	of	of	ADP
cana-1518	178	34	these	these	DET
cana-1518	178	35	factors	factor	NOUN
cana-1518	178	36	against	against	ADP
cana-1518	178	37	external	external	ADJ
cana-1518	178	38	forces	force	NOUN
cana-1518	178	39	due	due	ADP
cana-1518	178	40	to	to	ADP
cana-1518	178	41	interaction	interaction	NOUN
cana-1518	178	42	with	with	ADP
cana-1518	178	43	fluids	fluid	NOUN
cana-1518	178	44	would	would	AUX
cana-1518	178	45	be	be	AUX
cana-1518	178	46	responsible	responsible	ADJ
cana-1518	178	47	for	for	ADP
cana-1518	178	48	conveying	convey	VERB
cana-1518	178	49	other	other	ADJ
cana-1518	178	50	physical	physical	ADJ
cana-1518	178	51	quantities	quantity	NOUN
cana-1518	178	52	through	through	ADP
cana-1518	178	53	suitable	suitable	ADJ
cana-1518	178	54	medium	medium	ADJ
cana-1518	178	55	.	.	PUNCT
cana-1518	179	1	prandtl	prandtl	NOUN
cana-1518	179	2	number	number	NOUN
cana-1518	179	3	(	(	PUNCT
cana-1518	179	4	pr	pr	NOUN
cana-1518	179	5	):	):	PUNCT
cana-1518	179	6	a	a	DET
cana-1518	179	7	very	very	ADV
cana-1518	179	8	important	important	ADJ
cana-1518	179	9	parameter	parameter	NOUN
cana-1518	179	10	which	which	PRON
cana-1518	179	11	determines	determine	VERB
cana-1518	179	12	the	the	DET
cana-1518	179	13	thickness	thickness	NOUN
cana-1518	179	14	of	of	ADP
cana-1518	179	15	momentum	momentum	NOUN
cana-1518	179	16	boundary	boundary	ADJ
cana-1518	179	17	layer	layer	NOUN
cana-1518	179	18	and	and	CCONJ
cana-1518	179	19	thermal	thermal	ADJ
cana-1518	179	20	boudary	boudary	ADJ
cana-1518	179	21	layers	layer	NOUN
cana-1518	179	22	,	,	PUNCT
cana-1518	179	23	also	also	ADV
cana-1518	179	24	gives	give	VERB
cana-1518	179	25	an	an	DET
cana-1518	179	26	idea	idea	NOUN
cana-1518	179	27	about	about	ADP
cana-1518	179	28	heat	heat	NOUN
cana-1518	179	29	and	and	CCONJ
cana-1518	179	30	momentum	momentum	NOUN
cana-1518	179	31	transfer	transfer	NOUN
cana-1518	179	32	dynamics	dynamic	NOUN
cana-1518	179	33	.	.	PUNCT
cana-1518	180	1	furthermore	furthermore	ADV
cana-1518	180	2	,	,	PUNCT
cana-1518	180	3	the	the	DET
cana-1518	180	4	eckert	eckert	PROPN
cana-1518	180	5	number	number	NOUN
cana-1518	180	6	(	(	PUNCT
cana-1518	180	7	ec	ec	PROPN
cana-1518	180	8	)	)	PUNCT
cana-1518	180	9	which	which	PRON
cana-1518	180	10	is	be	AUX
cana-1518	180	11	a	a	DET
cana-1518	180	12	non	non	ADJ
cana-1518	180	13	-	-	ADJ
cana-1518	180	14	dimensional	dimensional	ADJ
cana-1518	180	15	parameter	parameter	NOUN
cana-1518	180	16	records	record	VERB
cana-1518	180	17	how	how	SCONJ
cana-1518	180	18	much	much	ADJ
cana-1518	180	19	important	important	ADJ
cana-1518	180	20	viscous	viscous	ADJ
cana-1518	180	21	dissipation	dissipation	NOUN
cana-1518	180	22	and	and	CCONJ
cana-1518	180	23	heat	heat	NOUN
cana-1518	180	24	generation	generation	NOUN
cana-1518	180	25	from	from	ADP
cana-1518	180	26	kinetic	kinetic	ADJ
cana-1518	180	27	energy	energy	NOUN
cana-1518	180	28	to	to	ADP
cana-1518	180	29	thermal	thermal	ADJ
cana-1518	180	30	energy	energy	NOUN
cana-1518	180	31	on	on	ADP
cana-1518	180	32	temperature	temperature	NOUN
cana-1518	180	33	distribution	distribution	NOUN
cana-1518	180	34	profile	profile	NOUN
cana-1518	180	35	inside	inside	ADP
cana-1518	180	36	fluid	fluid	NOUN
cana-1518	180	37	.	.	PUNCT
cana-1518	181	1	in	in	ADP
cana-1518	181	2	combination	combination	NOUN
cana-1518	181	3	,	,	PUNCT
cana-1518	181	4	this	this	PRON
cana-1518	181	5	provides	provide	VERB
cana-1518	181	6	a	a	DET
cana-1518	181	7	comprehensive	comprehensive	ADJ
cana-1518	181	8	basis	basis	NOUN
cana-1518	181	9	for	for	ADP
cana-1518	181	10	the	the	DET
cana-1518	181	11	intricate	intricate	ADJ
cana-1518	181	12	interplay	interplay	NOUN
cana-1518	181	13	of	of	ADP
cana-1518	181	14	fluid	fluid	ADJ
cana-1518	181	15	dynamics	dynamic	NOUN
cana-1518	181	16	and	and	CCONJ
cana-1518	181	17	heat	heat	NOUN
cana-1518	181	18	transfer	transfer	NOUN
cana-1518	181	19	in	in	ADP
cana-1518	181	20	respect	respect	NOUN
cana-1518	181	21	tp	tp	ADP
cana-1518	181	22	nanoparticle	nanoparticle	NOUN
cana-1518	181	23	behavior	behavior	NOUN
cana-1518	181	24	within	within	ADP
cana-1518	181	25	the	the	DET
cana-1518	181	26	boundary	boundary	ADJ
cana-1518	181	27	layer	layer	NOUN
cana-1518	181	28	fraction	fraction	NOUN
cana-1518	181	29	.	.	PUNCT
cana-1518	182	1	𝑀	𝑀	PROPN
cana-1518	182	2	=	=	PUNCT
cana-1518	182	3	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1518	182	4	2	2	NUM
cana-1518	182	5	𝑎𝜌𝑓	𝑎𝜌𝑓	NOUN
cana-1518	182	6	,	,	PUNCT
cana-1518	182	7	𝐾𝑝	𝐾𝑝	NOUN
cana-1518	182	8	=	=	PRON
cana-1518	182	9	𝑎𝐾𝑝∗	𝑎𝐾𝑝∗	ADV
cana-1518	182	10	𝑣𝑓	𝑣𝑓	ADV
cana-1518	182	11	,	,	PUNCT
cana-1518	182	12	𝑆𝑐	𝑆𝑐	PROPN
cana-1518	182	13	=	=	PUNCT
cana-1518	182	14	𝑣𝑓	𝑣𝑓	ADP
cana-1518	182	15	𝐷𝐵	𝐷𝐵	PROPN
cana-1518	182	16	,	,	PUNCT
cana-1518	182	17	𝜆	𝜆	X
cana-1518	183	1	=	=	SYM
cana-1518	183	2	𝑏	𝑏	SYM
cana-1518	183	3	𝑎	𝑎	NOUN
cana-1518	183	4	,	,	PUNCT
cana-1518	183	5	pr	pr	NOUN
cana-1518	183	6	=	=	NOUN
cana-1518	183	7	𝑣𝑓	𝑣𝑓	NOUN
cana-1518	183	8	𝛼𝑓	𝛼𝑓	X
cana-1518	183	9	,	,	PUNCT
cana-1518	183	10	(	(	PUNCT
cana-1518	183	11	18	18	NUM
cana-1518	183	12	)	)	PUNCT
cana-1518	183	13	communications	communication	NOUN
cana-1518	183	14	on	on	ADP
cana-1518	183	15	applied	apply	VERB
cana-1518	183	16	nonlinear	nonlinear	ADJ
cana-1518	183	17	analysis	analysis	NOUN
cana-1518	183	18	issn	issn	NOUN
cana-1518	183	19	:	:	PUNCT
cana-1518	183	20	1074	1074	NUM
cana-1518	183	21	-	-	PUNCT
cana-1518	183	22	133x	133x	NUM
cana-1518	183	23	vol	vol	NOUN
cana-1518	183	24	31	31	NUM
cana-1518	183	25	no	no	NOUN
cana-1518	183	26	.	.	PUNCT
cana-1518	184	1	8s	8s	PROPN
cana-1518	184	2	(	(	PUNCT
cana-1518	184	3	2024	2024	NUM
cana-1518	184	4	)	)	PUNCT
cana-1518	184	5	385	385	NUM
cana-1518	184	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	184	7	𝑅	𝑅	NOUN
cana-1518	184	8	=	=	PROPN
cana-1518	184	9	4𝜎∗𝑇∞	4𝜎∗𝑇∞	DET
cana-1518	184	10	3	3	NUM
cana-1518	184	11	𝑘𝑘∗	𝑘𝑘∗	ADV
cana-1518	184	12	,	,	PUNCT
cana-1518	185	1	𝐵𝑖	𝐵𝑖	PROPN
cana-1518	185	2	=	=	PRON
cana-1518	185	3	ℎ𝑓	ℎ𝑓	VERB
cana-1518	185	4	𝑘	𝑘	PRON
cana-1518	185	5	√	√	NOUN
cana-1518	185	6	𝑣𝑓	𝑣𝑓	ADP
cana-1518	185	7	𝑎	𝑎	PRON
cana-1518	185	8	𝑁𝑏	𝑁𝑏	PROPN
cana-1518	185	9	=	=	PUNCT
cana-1518	185	10	𝜏𝐷𝐵(𝐶𝑤−𝐶∞	𝜏𝐷𝐵(𝐶𝑤−𝐶∞	PROPN
cana-1518	185	11	)	)	PUNCT
cana-1518	185	12	𝑣𝑓𝑈𝑤	𝑣𝑓𝑈𝑤	NOUN
cana-1518	185	13	2	2	NUM
cana-1518	185	14	,	,	PUNCT
cana-1518	185	15	𝑁𝑡	𝑁𝑡	PROPN
cana-1518	185	16	=	=	PUNCT
cana-1518	185	17	𝜏𝐷𝑇(𝑇𝑤−𝑇∞	𝜏𝐷𝑇(𝑇𝑤−𝑇∞	ADJ
cana-1518	185	18	)	)	PUNCT
cana-1518	185	19	𝑣𝑓𝑇∞	𝑣𝑓𝑇∞	NOUN
cana-1518	185	20	,	,	PUNCT
cana-1518	186	1	𝐾𝑐	𝐾𝑐	PROPN
cana-1518	186	2	=	=	PRON
cana-1518	186	3	𝐾𝑐	𝐾𝑐	VERB
cana-1518	186	4	∗	∗	NOUN
cana-1518	186	5	𝑎	𝑎	NOUN
cana-1518	186	6	,	,	PUNCT
cana-1518	186	7	𝐸𝑐	𝐸𝑐	PROPN
cana-1518	186	8	=	=	SYM
cana-1518	186	9	𝑈′	𝑈′	NOUN
cana-1518	186	10	𝑐𝑓(𝑇𝑤−𝑇∞	𝑐𝑓(𝑇𝑤−𝑇∞	NOUN
cana-1518	186	11	)	)	PUNCT
cana-1518	186	12	.	.	PUNCT
cana-1518	187	1	(	(	PUNCT
cana-1518	187	2	19	19	NUM
cana-1518	187	3	)	)	PUNCT
cana-1518	187	4	analysis	analysis	NOUN
cana-1518	187	5	of	of	ADP
cana-1518	187	6	boundary	boundary	ADJ
cana-1518	187	7	conditions	condition	NOUN
cana-1518	187	8	however	however	ADV
cana-1518	187	9	,	,	PUNCT
cana-1518	187	10	the	the	DET
cana-1518	187	11	boundary	boundary	ADJ
cana-1518	187	12	conditions	condition	NOUN
cana-1518	187	13	specified	specify	VERB
cana-1518	187	14	are	be	AUX
cana-1518	187	15	necessary	necessary	ADJ
cana-1518	187	16	since	since	SCONJ
cana-1518	187	17	they	they	PRON
cana-1518	187	18	play	play	VERB
cana-1518	187	19	a	a	DET
cana-1518	187	20	key	key	ADJ
cana-1518	187	21	role	role	NOUN
cana-1518	187	22	in	in	ADP
cana-1518	187	23	governing	govern	VERB
cana-1518	187	24	the	the	DET
cana-1518	187	25	fluid	fluid	ADJ
cana-1518	187	26	mechanics	mechanic	NOUN
cana-1518	187	27	as	as	ADV
cana-1518	187	28	well	well	ADV
cana-1518	187	29	heat	heat	NOUN
cana-1518	187	30	transfer	transfer	NOUN
cana-1518	187	31	aspects	aspect	NOUN
cana-1518	187	32	of	of	ADP
cana-1518	187	33	nanoparticles	nanoparticle	NOUN
cana-1518	187	34	responding	respond	VERB
cana-1518	187	35	to	to	ADP
cana-1518	187	36	an	an	DET
cana-1518	187	37	effective	effective	ADJ
cana-1518	187	38	magnetic	magnetic	ADJ
cana-1518	187	39	field	field	NOUN
cana-1518	187	40	laying	lay	VERB
cana-1518	187	41	within	within	ADP
cana-1518	187	42	thermal	thermal	ADJ
cana-1518	187	43	and	and	CCONJ
cana-1518	187	44	velocity	velocity	NOUN
cana-1518	187	45	boundary	boundary	ADJ
cana-1518	187	46	layer	layer	NOUN
cana-1518	187	47	.	.	PUNCT
cana-1518	188	1	every	every	DET
cana-1518	188	2	condition	condition	NOUN
cana-1518	188	3	has	have	VERB
cana-1518	188	4	its	its	PRON
cana-1518	188	5	own	own	ADJ
cana-1518	188	6	purpose	purpose	NOUN
cana-1518	188	7	in	in	ADP
cana-1518	188	8	the	the	DET
cana-1518	188	9	formation	formation	NOUN
cana-1518	188	10	of	of	ADP
cana-1518	188	11	velocity	velocity	NOUN
cana-1518	188	12	,	,	PUNCT
cana-1518	188	13	temperature	temperature	NOUN
cana-1518	188	14	and	and	CCONJ
cana-1518	188	15	concentration	concentration	NOUN
cana-1518	188	16	profiles	profile	NOUN
cana-1518	188	17	due	due	ADJ
cana-1518	188	18	to	to	ADP
cana-1518	188	19	stretching	stretch	VERB
cana-1518	188	20	surface	surface	NOUN
cana-1518	188	21	forces	force	NOUN
cana-1518	188	22	as	as	ADV
cana-1518	188	23	well	well	ADV
cana-1518	188	24	as	as	ADP
cana-1518	188	25	external	external	ADJ
cana-1518	188	26	stimulus	stimulus	NOUN
cana-1518	188	27	.	.	PUNCT
cana-1518	189	1	velocity	velocity	NOUN
cana-1518	189	2	boundary	boundary	ADJ
cana-1518	189	3	condition	condition	NOUN
cana-1518	189	4	:	:	PUNCT
cana-1518	189	5	conditional	conditional	ADJ
cana-1518	189	6	:	:	PUNCT
cana-1518	189	7	f(0	f(0	NOUN
cana-1518	189	8	)	)	PUNCT
cana-1518	189	9	=	=	SYM
cana-1518	189	10	0	0	PUNCT
cana-1518	190	1	(	(	PUNCT
cana-1518	190	2	no	no	DET
cana-1518	190	3	-	-	PUNCT
cana-1518	190	4	slip	slip	NOUN
cana-1518	190	5	boundary	boundary	ADJ
cana-1518	190	6	condition	condition	NOUN
cana-1518	190	7	at	at	ADP
cana-1518	190	8	wall	wall	NOUN
cana-1518	190	9	)	)	PUNCT
cana-1518	190	10	.	.	PUNCT
cana-1518	191	1	this	this	PRON
cana-1518	191	2	represents	represent	VERB
cana-1518	191	3	the	the	DET
cana-1518	191	4	fact	fact	NOUN
cana-1518	191	5	that	that	SCONJ
cana-1518	191	6	in	in	ADP
cana-1518	191	7	the	the	DET
cana-1518	191	8	physical	physical	ADJ
cana-1518	191	9	word	word	NOUN
cana-1518	191	10	,	,	PUNCT
cana-1518	191	11	at	at	ADP
cana-1518	191	12	its	its	PRON
cana-1518	191	13	boundary	boundary	NOUN
cana-1518	191	14	(	(	PUNCT
cana-1518	191	15	the	the	DET
cana-1518	191	16	wall	wall	NOUN
cana-1518	191	17	)	)	PUNCT
cana-1518	191	18	,	,	PUNCT
cana-1518	191	19	fluid	fluid	NOUN
cana-1518	191	20	is	be	AUX
cana-1518	191	21	motionless	motionless	ADJ
cana-1518	191	22	relative	relative	ADJ
cana-1518	191	23	to	to	ADP
cana-1518	191	24	this	this	DET
cana-1518	191	25	surface	surface	NOUN
cana-1518	191	26	behaviour	behaviour	NOUN
cana-1518	191	27	while	while	SCONJ
cana-1518	191	28	idealizing	idealize	VERB
cana-1518	191	29	how	how	SCONJ
cana-1518	191	30	a	a	DET
cana-1518	191	31	fluid	fluid	NOUN
cana-1518	191	32	interacts	interact	VERB
cana-1518	191	33	with	with	ADP
cana-1518	191	34	solid	solid	ADJ
cana-1518	191	35	surfaces	surface	NOUN
cana-1518	191	36	.	.	PUNCT
cana-1518	192	1	(	(	PUNCT
cana-1518	192	2	f'(0	f'(0	NOUN
cana-1518	192	3	)	)	PUNCT
cana-1518	192	4	=	=	SYM
cana-1518	192	5	1	1	X
cana-1518	192	6	)	)	PUNCT
cana-1518	192	7	this	this	PRON
cana-1518	192	8	is	be	AUX
cana-1518	192	9	a	a	DET
cana-1518	192	10	boundary	boundary	ADJ
cana-1518	192	11	condition	condition	NOUN
cana-1518	192	12	which	which	PRON
cana-1518	192	13	states	state	VERB
cana-1518	192	14	that	that	SCONJ
cana-1518	192	15	the	the	DET
cana-1518	192	16	velocity	velocity	NOUN
cana-1518	192	17	gradient	gradient	NOUN
cana-1518	192	18	at	at	ADP
cana-1518	192	19	wall	wall	NOUN
cana-1518	192	20	equals	equal	VERB
cana-1518	192	21	stretching	stretch	VERB
cana-1518	192	22	rate	rate	NOUN
cana-1518	192	23	of	of	ADP
cana-1518	192	24	surface	surface	NOUN
cana-1518	192	25	.	.	PUNCT
cana-1518	193	1	this	this	PRON
cana-1518	193	2	ensures	ensure	VERB
cana-1518	193	3	consistency	consistency	NOUN
cana-1518	193	4	with	with	ADP
cana-1518	193	5	how	how	SCONJ
cana-1518	193	6	the	the	DET
cana-1518	193	7	surface	surface	NOUN
cana-1518	193	8	expands	expand	VERB
cana-1518	193	9	due	due	ADJ
cana-1518	193	10	to	to	ADP
cana-1518	193	11	stretching	stretch	VERB
cana-1518	193	12	.	.	PUNCT
cana-1518	194	1	in	in	ADP
cana-1518	194	2	short	short	ADJ
cana-1518	194	3	,	,	PUNCT
cana-1518	194	4	it	it	PRON
cana-1518	194	5	determines	determine	VERB
cana-1518	194	6	how	how	SCONJ
cana-1518	194	7	the	the	DET
cana-1518	194	8	velocity	velocity	NOUN
cana-1518	194	9	of	of	ADP
cana-1518	194	10	fluid	fluid	ADJ
cana-1518	194	11	changes	change	NOUN
cana-1518	194	12	due	due	ADJ
cana-1518	194	13	to	to	ADP
cana-1518	194	14	stretching	stretch	VERB
cana-1518	194	15	the	the	DET
cana-1518	194	16	surface	surface	NOUN
cana-1518	194	17	(	(	PUNCT
cana-1518	194	18	real	real	ADJ
cana-1518	194	19	mechanical	mechanical	ADJ
cana-1518	194	20	stretch	stretch	NOUN
cana-1518	194	21	of	of	ADP
cana-1518	194	22	boundary	boundary	NOUN
cana-1518	194	23	)	)	PUNCT
cana-1518	194	24	rather	rather	ADV
cana-1518	194	25	than	than	ADP
cana-1518	194	26	artificial	artificial	ADJ
cana-1518	194	27	one	one	NUM
cana-1518	194	28	.	.	PUNCT
cana-1518	195	1	thermal	thermal	ADJ
cana-1518	195	2	boundary	boundary	ADJ
cana-1518	195	3	condition	condition	NOUN
cana-1518	195	4	:	:	PUNCT
cana-1518	195	5	𝜃(0	𝜃(0	X
cana-1518	195	6	)	)	PUNCT
cana-1518	195	7	=	=	SYM
cana-1518	195	8	𝐵𝑖[𝜃	𝐵𝑖[𝜃	NOUN
cana-1518	195	9	(	(	PUNCT
cana-1518	195	10	0)-1	0)-1	PROPN
cana-1518	195	11	]	]	ADJ
cana-1518	195	12	:	:	PUNCT
cana-1518	195	13	heat	heat	NOUN
cana-1518	195	14	transfer	transfer	NOUN
cana-1518	195	15	at	at	ADP
cana-1518	195	16	the	the	DET
cana-1518	195	17	wall	wall	NOUN
cana-1518	195	18	biot	biot	PROPN
cana-1518	195	19	number	number	NOUN
cana-1518	195	20	(	(	PUNCT
cana-1518	195	21	bi	bi	NOUN
cana-1518	195	22	)	)	PUNCT
cana-1518	195	23	is	be	AUX
cana-1518	195	24	a	a	DET
cana-1518	195	25	dimensionless	dimensionless	NOUN
cana-1518	195	26	parameter	parameter	NOUN
cana-1518	195	27	which	which	PRON
cana-1518	195	28	represents	represent	VERB
cana-1518	195	29	the	the	DET
cana-1518	195	30	relation	relation	NOUN
cana-1518	195	31	of	of	ADP
cana-1518	195	32	heat	heat	NOUN
cana-1518	195	33	conductive	conductive	ADJ
cana-1518	195	34	within	within	ADP
cana-1518	195	35	solid	solid	ADJ
cana-1518	195	36	material	material	NOUN
cana-1518	195	37	in	in	ADP
cana-1518	195	38	favor	favor	NOUN
cana-1518	195	39	to	to	PART
cana-1518	195	40	convective	convective	VERB
cana-1518	195	41	head	head	NOUN
cana-1518	195	42	transport	transport	NOUN
cana-1518	195	43	through	through	ADP
cana-1518	195	44	fluid	fluid	NOUN
cana-1518	195	45	.	.	PUNCT
cana-1518	196	1	a	a	DET
cana-1518	196	2	higher	high	ADJ
cana-1518	196	3	biot	biot	ADJ
cana-1518	196	4	number	number	NOUN
cana-1518	196	5	corresponds	correspond	VERB
cana-1518	196	6	to	to	ADP
cana-1518	196	7	more	more	ADJ
cana-1518	196	8	thermal	thermal	ADJ
cana-1518	196	9	resistance	resistance	NOUN
cana-1518	196	10	in	in	ADP
cana-1518	196	11	the	the	DET
cana-1518	196	12	solid	solid	ADJ
cana-1518	196	13	relative	relative	NOUN
cana-1518	196	14	to	to	ADP
cana-1518	196	15	the	the	DET
cana-1518	196	16	fluid	fluid	NOUN
cana-1518	196	17	(	(	PUNCT
cana-1518	196	18	impacting	impact	VERB
cana-1518	196	19	)	)	PUNCT
cana-1518	196	20	.	.	PUNCT
cana-1518	197	1	the	the	DET
cana-1518	197	2	condition	condition	NOUN
cana-1518	197	3	models	model	VERB
cana-1518	197	4	the	the	DET
cana-1518	197	5	heat	heat	NOUN
cana-1518	197	6	exchange	exchange	NOUN
cana-1518	197	7	in	in	ADP
cana-1518	197	8	form	form	NOUN
cana-1518	197	9	of	of	ADP
cana-1518	197	10	convection	convection	NOUN
cana-1518	197	11	and	and	CCONJ
cana-1518	197	12	is	be	AUX
cana-1518	197	13	exactly	exactly	ADV
cana-1518	197	14	what	what	PRON
cana-1518	197	15	controls	control	VERB
cana-1518	197	16	how	how	SCONJ
cana-1518	197	17	temperature	temperature	NOUN
cana-1518	197	18	varies	vary	VERB
cana-1518	197	19	close	close	ADV
cana-1518	197	20	to	to	ADP
cana-1518	197	21	the	the	DET
cana-1518	197	22	wall	wall	NOUN
cana-1518	197	23	making	make	VERB
cana-1518	197	24	it	it	PRON
cana-1518	197	25	critical	critical	ADJ
cana-1518	197	26	for	for	ADP
cana-1518	197	27	thermal	thermal	ADJ
cana-1518	197	28	boundary	boundary	ADJ
cana-1518	197	29	layer	layer	NOUN
cana-1518	197	30	development	development	NOUN
cana-1518	197	31	.	.	PUNCT
cana-1518	198	1	figure	figure	VERB
cana-1518	198	2	1	1	NUM
cana-1518	198	3	:	:	PUNCT
cana-1518	198	4	temperature	temperature	NOUN
cana-1518	198	5	profiles	profile	NOUN
cana-1518	198	6	for	for	ADP
cana-1518	198	7	different	different	ADJ
cana-1518	198	8	b	b	NOUN
cana-1518	198	9	;	;	PUNCT
cana-1518	198	10	g	g	PROPN
cana-1518	198	11	and	and	CCONJ
cana-1518	198	12	bi	bi	NOUN
cana-1518	198	13	>	>	X
cana-1518	198	14	0	0	NUM
cana-1518	198	15	communications	communication	NOUN
cana-1518	198	16	on	on	ADP
cana-1518	198	17	applied	apply	VERB
cana-1518	198	18	nonlinear	nonlinear	ADJ
cana-1518	198	19	analysis	analysis	NOUN
cana-1518	198	20	issn	issn	NOUN
cana-1518	198	21	:	:	PUNCT
cana-1518	198	22	1074	1074	NUM
cana-1518	198	23	-	-	PUNCT
cana-1518	198	24	133x	133x	NUM
cana-1518	198	25	vol	vol	NOUN
cana-1518	198	26	31	31	NUM
cana-1518	198	27	no	no	NOUN
cana-1518	198	28	.	.	PUNCT
cana-1518	199	1	8s	8s	PROPN
cana-1518	199	2	(	(	PUNCT
cana-1518	199	3	2024	2024	NUM
cana-1518	199	4	)	)	PUNCT
cana-1518	199	5	386	386	NUM
cana-1518	199	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	199	7	nanoparticle	nanoparticle	NOUN
cana-1518	199	8	concentrationspecified	concentrationspecifie	VERB
cana-1518	199	9	this	this	DET
cana-1518	199	10	parameter	parameter	NOUN
cana-1518	199	11	is	be	AUX
cana-1518	199	12	familiar	familiar	ADJ
cana-1518	199	13	to	to	ADP
cana-1518	199	14	us	we	PRON
cana-1518	199	15	,	,	PUNCT
cana-1518	199	16	and	and	CCONJ
cana-1518	199	17	means	mean	VERB
cana-1518	199	18	that	that	SCONJ
cana-1518	199	19	the	the	DET
cana-1518	199	20	nanoparticle	nanoparticle	NOUN
cana-1518	199	21	concentration	concentration	NOUN
cana-1518	199	22	at	at	ADP
cana-1518	199	23	each	each	DET
cana-1518	199	24	inlet	inlet	NOUN
cana-1518	199	25	or	or	CCONJ
cana-1518	199	26	outlet	outlet	NOUN
cana-1518	199	27	must	must	AUX
cana-1518	199	28	be	be	AUX
cana-1518	199	29	specified	specify	VERB
cana-1518	199	30	(	(	PUNCT
cana-1518	199	31	npud	npud	NOUN
cana-1518	199	32	=	=	SYM
cana-1518	199	33	4).this	4).this	NUM
cana-1518	199	34	boundary	boundary	ADJ
cana-1518	199	35	condition	condition	NOUN
cana-1518	199	36	reflects	reflect	VERB
cana-1518	199	37	the	the	DET
cana-1518	199	38	balance	balance	NOUN
cana-1518	199	39	beween	beween	NOUN
cana-1518	199	40	brownian	brownian	ADJ
cana-1518	199	41	motion	motion	NOUN
cana-1518	199	42	and	and	CCONJ
cana-1518	199	43	thermophoretic	thermophoretic	ADJ
cana-1518	199	44	forces	force	NOUN
cana-1518	199	45	at	at	ADP
cana-1518	199	46	the	the	DET
cana-1518	199	47	wall	wall	NOUN
cana-1518	199	48	(	(	PUNCT
cana-1518	199	49	n	n	PROPN
cana-1518	199	50	b	b	PROPN
cana-1518	199	51	φ	φ	NUM
cana-1518	199	52	'	'	PROPN
cana-1518	199	53	(	(	PUNCT
cana-1518	199	54	0)+n	0)+n	NOUN
cana-1518	199	55	tθ'(0)=	tθ'(0)=	NUM
cana-1518	199	56	0	0	NUM
cana-1518	199	57	)	)	PUNCT
cana-1518	199	58	.	.	PUNCT
cana-1518	200	1	similarly	similarly	ADV
cana-1518	200	2	,	,	PUNCT
cana-1518	200	3	brownian	brownian	ADJ
cana-1518	200	4	motion	motion	NOUN
cana-1518	200	5	(	(	PUNCT
cana-1518	200	6	(	(	PUNCT
cana-1518	200	7	nb	nb	NOUN
cana-1518	200	8	)	)	PUNCT
cana-1518	200	9	)	)	PUNCT
cana-1518	200	10	and	and	CCONJ
cana-1518	200	11	thermophoresis	thermophoresis	NOUN
cana-1518	200	12	(	(	PUNCT
cana-1518	200	13	(	(	PUNCT
cana-1518	200	14	nt	not	PART
cana-1518	200	15	)	)	PUNCT
cana-1518	200	16	)	)	PUNCT
cana-1518	200	17	play	play	VERB
cana-1518	200	18	major	major	ADJ
cana-1518	200	19	roles	role	NOUN
cana-1518	200	20	on	on	ADP
cana-1518	200	21	the	the	DET
cana-1518	200	22	distribution	distribution	NOUN
cana-1518	200	23	of	of	ADP
cana-1518	200	24	nanoparticles	nanoparticle	NOUN
cana-1518	200	25	in	in	ADP
cana-1518	200	26	fluid	fluid	NOUN
cana-1518	200	27	.	.	PUNCT
cana-1518	201	1	brownian	brownian	ADJ
cana-1518	201	2	motion	motion	NOUN
cana-1518	201	3	means	mean	VERB
cana-1518	201	4	that	that	SCONJ
cana-1518	201	5	particles	particle	NOUN
cana-1518	201	6	move	move	VERB
cana-1518	201	7	randomly	randomly	ADV
cana-1518	201	8	due	due	ADP
cana-1518	201	9	to	to	ADP
cana-1518	201	10	thermal	thermal	ADJ
cana-1518	201	11	agitation	agitation	NOUN
cana-1518	201	12	;	;	PUNCT
cana-1518	201	13	thermophoresis	thermophoresis	NOUN
cana-1518	201	14	is	be	AUX
cana-1518	201	15	the	the	DET
cana-1518	201	16	movement	movement	NOUN
cana-1518	201	17	of	of	ADP
cana-1518	201	18	particle	particle	NOUN
cana-1518	201	19	in	in	ADP
cana-1518	201	20	a	a	DET
cana-1518	201	21	response	response	NOUN
cana-1518	201	22	to	to	ADP
cana-1518	201	23	temperature	temperature	NOUN
cana-1518	201	24	gradients	gradient	NOUN
cana-1518	201	25	.	.	PUNCT
cana-1518	202	1	it	it	PRON
cana-1518	202	2	ensures	ensure	VERB
cana-1518	202	3	that	that	SCONJ
cana-1518	202	4	the	the	DET
cana-1518	202	5	variations	variation	NOUN
cana-1518	202	6	of	of	ADP
cana-1518	202	7	nanoparticles	nanoparticle	NOUN
cana-1518	202	8	in	in	ADP
cana-1518	202	9	concentration	concentration	NOUN
cana-1518	202	10	,	,	PUNCT
cana-1518	202	11	which	which	PRON
cana-1518	202	12	is	be	AUX
cana-1518	202	13	linked	link	VERB
cana-1518	202	14	to	to	ADP
cana-1518	202	15	temperature	temperature	NOUN
cana-1518	202	16	diffusivity	diffusivity	NOUN
cana-1518	202	17	effect	effect	NOUN
cana-1518	202	18	and	and	CCONJ
cana-1518	202	19	thermal	thermal	ADJ
cana-1518	202	20	diffusion	diffusion	NOUN
cana-1518	202	21	phenomena	phenomenon	NOUN
cana-1518	202	22	.	.	PUNCT
cana-1518	203	1	asymptotic	asymptotic	ADJ
cana-1518	203	2	conditions	condition	NOUN
cana-1518	203	3	:	:	PUNCT
cana-1518	203	4	as	as	ADP
cana-1518	203	5	𝑛	𝑛	PROPN
cana-1518	203	6	→	→	SYM
cana-1518	203	7	∞the	∞the	NOUN
cana-1518	203	8	boundary	boundary	ADJ
cana-1518	203	9	condition(𝑓(𝑛	condition(𝑓(𝑛	X
cana-1518	203	10	)	)	PUNCT
cana-1518	203	11	→	→	SYM
cana-1518	203	12	𝜆	𝜆	X
cana-1518	203	13	)	)	PUNCT
cana-1518	203	14	,	,	PUNCT
cana-1518	203	15	all	all	DET
cana-1518	203	16	the	the	DET
cana-1518	203	17	fields	field	NOUN
cana-1518	203	18	are	be	AUX
cana-1518	203	19	going	go	VERB
cana-1518	203	20	to	to	PART
cana-1518	203	21	approach	approach	VERB
cana-1518	203	22	their	their	PRON
cana-1518	203	23	far	far	ADJ
cana-1518	203	24	field	field	NOUN
cana-1518	203	25	values	value	NOUN
cana-1518	203	26	.	.	PUNCT
cana-1518	204	1	it	it	PRON
cana-1518	204	2	signifies	signify	VERB
cana-1518	204	3	that	that	SCONJ
cana-1518	204	4	as	as	SCONJ
cana-1518	204	5	we	we	PRON
cana-1518	204	6	move	move	VERB
cana-1518	204	7	away	away	ADV
cana-1518	204	8	from	from	ADP
cana-1518	204	9	the	the	DET
cana-1518	204	10	boundary	boundary	ADJ
cana-1518	204	11	layer	layer	NOUN
cana-1518	204	12	,	,	PUNCT
cana-1518	204	13	effects	effect	NOUN
cana-1518	204	14	of	of	ADP
cana-1518	204	15	stretching	stretch	VERB
cana-1518	204	16	surface	surface	NOUN
cana-1518	204	17	are	be	AUX
cana-1518	204	18	fade	fade	ADJ
cana-1518	204	19	.	.	PUNCT
cana-1518	205	1	they	they	PRON
cana-1518	205	2	are	be	AUX
cana-1518	205	3	meant	mean	VERB
cana-1518	205	4	to	to	PART
cana-1518	205	5	make	make	VERB
cana-1518	205	6	the	the	DET
cana-1518	205	7	velocity	velocity	NOUN
cana-1518	205	8	gradient	gradient	NOUN
cana-1518	205	9	,	,	PUNCT
cana-1518	205	10	temperature	temperature	NOUN
cana-1518	205	11	and	and	CCONJ
cana-1518	205	12	concentration	concentration	NOUN
cana-1518	205	13	approaching	approach	VERB
cana-1518	205	14	those	those	PRON
cana-1518	205	15	in	in	ADP
cana-1518	205	16	free	free	ADJ
cana-1518	205	17	stream	stream	NOUN
cana-1518	205	18	so	so	SCONJ
cana-1518	205	19	that	that	SCONJ
cana-1518	205	20	influence	influence	NOUN
cana-1518	205	21	of	of	ADP
cana-1518	205	22	boundary	boundary	ADJ
cana-1518	205	23	layer	layer	NOUN
cana-1518	205	24	can	can	AUX
cana-1518	205	25	be	be	AUX
cana-1518	205	26	ignored	ignore	VERB
cana-1518	205	27	away	away	ADV
cana-1518	205	28	from	from	ADP
cana-1518	205	29	wall	wall	NOUN
cana-1518	205	30	.	.	PUNCT
cana-1518	206	1	the	the	DET
cana-1518	206	2	model	model	NOUN
cana-1518	206	3	is	be	AUX
cana-1518	206	4	deemed	deem	VERB
cana-1518	206	5	to	to	PART
cana-1518	206	6	be	be	AUX
cana-1518	206	7	consistent	consistent	ADJ
cana-1518	206	8	when	when	SCONJ
cana-1518	206	9	such	such	ADJ
cana-1518	206	10	terminal	terminal	ADJ
cana-1518	206	11	behaviour	behaviour	NOUN
cana-1518	206	12	can	can	AUX
cana-1518	206	13	match	match	VERB
cana-1518	206	14	the	the	DET
cana-1518	206	15	correct	correct	ADJ
cana-1518	206	16	fluid	fluid	ADJ
cana-1518	206	17	characteristics	characteristic	NOUN
cana-1518	206	18	as	as	SCONJ
cana-1518	206	19	they	they	PRON
cana-1518	206	20	settle	settle	VERB
cana-1518	206	21	after	after	ADP
cana-1518	206	22	leaving	leave	VERB
cana-1518	206	23	from	from	ADP
cana-1518	206	24	a	a	DET
cana-1518	206	25	boundary	boundary	ADJ
cana-1518	206	26	layer	layer	NOUN
cana-1518	206	27	.	.	PUNCT
cana-1518	207	1	4	4	X
cana-1518	207	2	.	.	X
cana-1518	207	3	numerical	numerical	PROPN
cana-1518	207	4	solution	solution	PROPN
cana-1518	207	5	approch	approch	PROPN
cana-1518	207	6	solution	solution	NOUN
cana-1518	207	7	to	to	ADP
cana-1518	207	8	the	the	DET
cana-1518	207	9	coupled	couple	VERB
cana-1518	207	10	nonlinear	nonlinear	ADJ
cana-1518	207	11	differential	differential	ADJ
cana-1518	207	12	equations	equation	NOUN
cana-1518	207	13	,	,	PUNCT
cana-1518	207	14	which	which	PRON
cana-1518	207	15	describe	describe	VERB
cana-1518	207	16	fluid	fluid	ADJ
cana-1518	207	17	dynamics	dynamic	NOUN
cana-1518	207	18	and	and	CCONJ
cana-1518	207	19	heat	heat	NOUN
cana-1518	207	20	transfer	transfer	NOUN
cana-1518	207	21	as	as	ADV
cana-1518	207	22	well	well	ADV
cana-1518	207	23	as	as	ADP
cana-1518	207	24	nanoparticle	nanoparticle	NOUN
cana-1518	207	25	behavior	behavior	NOUN
cana-1518	207	26	,	,	PUNCT
cana-1518	207	27	is	be	AUX
cana-1518	207	28	complex	complex	ADJ
cana-1518	207	29	due	due	ADP
cana-1518	207	30	to	to	ADP
cana-1518	207	31	their	their	PRON
cana-1518	207	32	highly	highly	ADV
cana-1518	207	33	intricate	intricate	ADJ
cana-1518	207	34	nature	nature	NOUN
cana-1518	207	35	.	.	PUNCT
cana-1518	208	1	this	this	DET
cana-1518	208	2	study	study	NOUN
cana-1518	208	3	used	use	VERB
cana-1518	208	4	the	the	DET
cana-1518	208	5	fourth	fourth	ADJ
cana-1518	208	6	order	order	NOUN
cana-1518	208	7	runge	runge	NOUN
cana-1518	208	8	-	-	PUNCT
cana-1518	208	9	kutta	kutta	NOUN
cana-1518	208	10	method	method	NOUN
cana-1518	208	11	combined	combine	VERB
cana-1518	208	12	with	with	ADP
cana-1518	208	13	a	a	DET
cana-1518	208	14	shooting	shooting	NOUN
cana-1518	208	15	technique	technique	NOUN
cana-1518	208	16	to	to	PART
cana-1518	208	17	solve	solve	VERB
cana-1518	208	18	this	this	DET
cana-1518	208	19	complex	complex	NOUN
cana-1518	208	20	.	.	PUNCT
cana-1518	208	21	runge	runge	NOUN
cana-1518	208	22	-	-	PUNCT
cana-1518	208	23	kutta	kutta	NOUN
cana-1518	208	24	methods	method	NOUN
cana-1518	208	25	are	be	AUX
cana-1518	208	26	known	know	VERB
cana-1518	208	27	for	for	ADP
cana-1518	208	28	being	be	AUX
cana-1518	208	29	both	both	CCONJ
cana-1518	208	30	effective	effective	ADJ
cana-1518	208	31	and	and	CCONJ
cana-1518	208	32	efficient	efficient	ADJ
cana-1518	208	33	in	in	ADP
cana-1518	208	34	solving	solve	VERB
cana-1518	208	35	ordinary	ordinary	ADJ
cana-1518	208	36	differential	differential	ADJ
cana-1518	208	37	equations	equation	NOUN
cana-1518	208	38	,	,	PUNCT
cana-1518	208	39	especially	especially	ADV
cana-1518	208	40	when	when	SCONJ
cana-1518	208	41	you	you	PRON
cana-1518	208	42	need	need	VERB
cana-1518	208	43	a	a	DET
cana-1518	208	44	very	very	ADV
cana-1518	208	45	accurate	accurate	ADJ
cana-1518	208	46	solution	solution	NOUN
cana-1518	208	47	.	.	PUNCT
cana-1518	209	1	the	the	DET
cana-1518	209	2	solver	solver	NOUN
cana-1518	209	3	does	do	VERB
cana-1518	209	4	this	this	PRON
cana-1518	209	5	by	by	ADP
cana-1518	209	6	stepping	step	VERB
cana-1518	209	7	through	through	ADP
cana-1518	209	8	the	the	DET
cana-1518	209	9	domain	domain	NOUN
cana-1518	209	10	using	use	VERB
cana-1518	209	11	these	these	DET
cana-1518	209	12	averages	average	NOUN
cana-1518	209	13	of	of	ADP
cana-1518	209	14	function	function	NOUN
cana-1518	209	15	evaluation	evaluation	NOUN
cana-1518	209	16	weights	weight	NOUN
cana-1518	209	17	and	and	CCONJ
cana-1518	209	18	provides	provide	VERB
cana-1518	209	19	accurate	accurate	ADJ
cana-1518	209	20	numerical	numerical	ADJ
cana-1518	209	21	approximation	approximation	NOUN
cana-1518	209	22	.	.	PUNCT
cana-1518	210	1	in	in	ADP
cana-1518	210	2	contrast	contrast	NOUN
cana-1518	210	3	,	,	PUNCT
cana-1518	210	4	the	the	DET
cana-1518	210	5	shooting	shooting	NOUN
cana-1518	210	6	method	method	NOUN
cana-1518	210	7	is	be	AUX
cana-1518	210	8	a	a	DET
cana-1518	210	9	reliable	reliable	ADJ
cana-1518	210	10	technique	technique	NOUN
cana-1518	210	11	for	for	ADP
cana-1518	210	12	solving	solve	VERB
cana-1518	210	13	boundary	boundary	ADJ
cana-1518	210	14	value	value	NOUN
cana-1518	210	15	problems	problem	NOUN
cana-1518	210	16	by	by	ADP
cana-1518	210	17	translating	translate	VERB
cana-1518	210	18	them	they	PRON
cana-1518	210	19	into	into	ADP
cana-1518	210	20	an	an	DET
cana-1518	210	21	initial	initial	ADJ
cana-1518	210	22	value	value	NOUN
cana-1518	210	23	problem	problem	NOUN
cana-1518	210	24	.	.	PUNCT
cana-1518	211	1	it	it	PRON
cana-1518	211	2	implies	imply	VERB
cana-1518	211	3	an	an	DET
cana-1518	211	4	iterative	iterative	NOUN
cana-1518	211	5	process	process	NOUN
cana-1518	211	6	where	where	SCONJ
cana-1518	211	7	guesses	guess	NOUN
cana-1518	211	8	are	be	AUX
cana-1518	211	9	made	make	VERB
cana-1518	211	10	for	for	ADP
cana-1518	211	11	unknown	unknown	ADJ
cana-1518	211	12	initial	initial	ADJ
cana-1518	211	13	conditions	condition	NOUN
cana-1518	211	14	.	.	PUNCT
cana-1518	212	1	this	this	PRON
cana-1518	212	2	is	be	AUX
cana-1518	212	3	then	then	ADV
cana-1518	212	4	solved	solve	VERB
cana-1518	212	5	using	use	VERB
cana-1518	212	6	the	the	DET
cana-1518	212	7	numerical	numerical	ADJ
cana-1518	212	8	method	method	NOUN
cana-1518	212	9	:	:	PUNCT
cana-1518	212	10	runge	runge	NOUN
cana-1518	212	11	-	-	PUNCT
cana-1518	212	12	kutta	kutta	NOUN
cana-1518	212	13	to	to	PART
cana-1518	212	14	arrive	arrive	VERB
cana-1518	212	15	at	at	ADP
cana-1518	212	16	a	a	DET
cana-1518	212	17	solution	solution	NOUN
cana-1518	212	18	,	,	PUNCT
cana-1518	212	19	and	and	CCONJ
cana-1518	212	20	this	this	DET
cana-1518	212	21	solution	solution	NOUN
cana-1518	212	22	are	be	AUX
cana-1518	212	23	checked	check	VERB
cana-1518	212	24	against	against	ADP
cana-1518	212	25	far	far	ADJ
cana-1518	212	26	field	field	NOUN
cana-1518	212	27	(	(	PUNCT
cana-1518	212	28	infinity	infinity	NOUN
cana-1518	212	29	)	)	PUNCT
cana-1518	212	30	boundary	boundary	ADJ
cana-1518	212	31	conditions	condition	NOUN
cana-1518	212	32	.	.	PUNCT
cana-1518	213	1	the	the	DET
cana-1518	213	2	initial	initial	ADJ
cana-1518	213	3	guesses	guess	NOUN
cana-1518	213	4	are	be	AUX
cana-1518	213	5	refined	refine	VERB
cana-1518	213	6	iteratively	iteratively	ADV
cana-1518	213	7	until	until	SCONJ
cana-1518	213	8	the	the	DET
cana-1518	213	9	solution	solution	NOUN
cana-1518	213	10	converges	converge	VERB
cana-1518	213	11	to	to	PART
cana-1518	213	12	comply	comply	VERB
cana-1518	213	13	with	with	ADP
cana-1518	213	14	conditions	condition	NOUN
cana-1518	213	15	at	at	ADP
cana-1518	213	16	both	both	CCONJ
cana-1518	213	17	the	the	DET
cana-1518	213	18	wall	wall	NOUN
cana-1518	213	19	and	and	CCONJ
cana-1518	213	20	in	in	ADP
cana-1518	213	21	far	far	ADJ
cana-1518	213	22	field	field	NOUN
cana-1518	213	23	,	,	PUNCT
cana-1518	213	24	such	such	ADJ
cana-1518	213	25	that	that	SCONJ
cana-1518	213	26	solutions	solution	NOUN
cana-1518	213	27	obtained	obtain	VERB
cana-1518	213	28	will	will	AUX
cana-1518	213	29	be	be	AUX
cana-1518	213	30	consistent	consistent	ADJ
cana-1518	213	31	on	on	ADP
cana-1518	213	32	a	a	DET
cana-1518	213	33	nested	nested	ADJ
cana-1518	213	34	point	point	NOUN
cana-1518	213	35	.	.	PUNCT
cana-1518	214	1	the	the	DET
cana-1518	214	2	integration	integration	NOUN
cana-1518	214	3	of	of	ADP
cana-1518	214	4	these	these	DET
cana-1518	214	5	methods	method	NOUN
cana-1518	214	6	allows	allow	VERB
cana-1518	214	7	for	for	ADP
cana-1518	214	8	the	the	DET
cana-1518	214	9	efficient	efficient	ADJ
cana-1518	214	10	handling	handling	NOUN
cana-1518	214	11	o	o	PROPN
cana-1518	214	12	f	f	PROPN
cana-1518	214	13	a	a	DET
cana-1518	214	14	class	class	NOUN
cana-1518	214	15	of	of	ADP
cana-1518	214	16	differential	differential	ADJ
cana-1518	214	17	equations	equation	NOUN
cana-1518	214	18	with	with	ADP
cana-1518	214	19	considerable	considerable	ADJ
cana-1518	214	20	complexity	complexity	NOUN
cana-1518	214	21	,	,	PUNCT
cana-1518	214	22	in	in	ADP
cana-1518	214	23	both	both	PRON
cana-1518	214	24	accurately	accurately	ADV
cana-1518	214	25	resolving	resolve	VERB
cana-1518	214	26	wall	wall	NOUN
cana-1518	214	27	features	feature	NOUN
cana-1518	214	28	which	which	PRON
cana-1518	214	29	are	be	AUX
cana-1518	214	30	sensitive	sensitive	ADJ
cana-1518	214	31	to	to	ADP
cana-1518	214	32	driven	drive	VERB
cana-1518	214	33	perturbations	perturbation	NOUN
cana-1518	214	34	as	as	ADV
cana-1518	214	35	well	well	ADV
cana-1518	214	36	more	more	ADV
cana-1518	214	37	distant	distant	ADJ
cana-1518	214	38	boundary	boundary	ADJ
cana-1518	214	39	layers	layer	NOUN
cana-1518	214	40	where	where	SCONJ
cana-1518	214	41	compact	compact	ADJ
cana-1518	214	42	averages	average	NOUN
cana-1518	214	43	reduce	reduce	VERB
cana-1518	214	44	long	long	ADJ
cana-1518	214	45	modes	mode	NOUN
cana-1518	214	46	.	.	PUNCT
cana-1518	215	1	this	this	DET
cana-1518	215	2	methodology	methodology	NOUN
cana-1518	215	3	guarantees	guarantee	VERB
cana-1518	215	4	physically	physically	ADV
cana-1518	215	5	plausible	plausible	ADJ
cana-1518	215	6	solutions	solution	NOUN
cana-1518	215	7	thereby	thereby	ADV
cana-1518	215	8	helping	help	VERB
cana-1518	215	9	in	in	ADP
cana-1518	215	10	the	the	DET
cana-1518	215	11	interpretation	interpretation	NOUN
cana-1518	215	12	of	of	ADP
cana-1518	215	13	natural	natural	ADJ
cana-1518	215	14	physical	physical	ADJ
cana-1518	215	15	associated	associate	VERB
cana-1518	215	16	with	with	ADP
cana-1518	215	17	equations	equation	NOUN
cana-1518	215	18	concerned	concern	VERB
cana-1518	215	19	.	.	PUNCT
cana-1518	216	1	the	the	DET
cana-1518	216	2	equations	equation	NOUN
cana-1518	216	3	are	be	AUX
cana-1518	216	4	first	first	ADV
cana-1518	216	5	transformed	transform	VERB
cana-1518	216	6	into	into	ADP
cana-1518	216	7	a	a	DET
cana-1518	216	8	system	system	NOUN
cana-1518	216	9	of	of	ADP
cana-1518	216	10	first	first	ADJ
cana-1518	216	11	-	-	PUNCT
cana-1518	216	12	order	order	NOUN
cana-1518	216	13	differential	differential	ADJ
cana-1518	216	14	equations	equation	NOUN
cana-1518	216	15	:	:	PUNCT
cana-1518	217	1	𝑦1	𝑦1	NOUN
cana-1518	217	2	′	′	NUM
cana-1518	218	1	=	=	PUNCT
cana-1518	218	2	𝑦2	𝑦2	NOUN
cana-1518	218	3	𝑦2	𝑦2	NOUN
cana-1518	218	4	′	′	NUM
cana-1518	218	5	=	=	SYM
cana-1518	218	6	𝑦3	𝑦3	PROPN
cana-1518	218	7	,	,	PUNCT
cana-1518	218	8	𝑦3	𝑦3	PROPN
cana-1518	218	9	′	′	NUM
cana-1518	218	10	=	=	PUNCT
cana-1518	218	11	(	(	PUNCT
cana-1518	218	12	−𝛽	−𝛽	PROPN
cana-1518	218	13	1+𝛽	1+𝛽	NUM
cana-1518	218	14	)	)	PUNCT
cana-1518	219	1	[	[	X
cana-1518	219	2	𝑦1𝑦3	𝑦1𝑦3	X
cana-1518	219	3	−	−	NOUN
cana-1518	219	4	𝑦2	𝑦2	NOUN
cana-1518	219	5	2	2	NUM
cana-1518	219	6	+	+	NUM
cana-1518	219	7	𝜆2	𝜆2	NOUN
cana-1518	219	8	+	+	CCONJ
cana-1518	219	9	(	(	PUNCT
cana-1518	219	10	𝑀sin2	𝑀sin2	PROPN
cana-1518	219	11	𝛾	𝛾	ADP
cana-1518	219	12	+	+	ADJ
cana-1518	219	13	𝐾𝑝)(𝜆	𝐾𝑝)(𝜆	NUM
cana-1518	219	14	−	−	PROPN
cana-1518	219	15	𝑦2	𝑦2	PROPN
cana-1518	219	16	)	)	PUNCT
cana-1518	219	17	]	]	PUNCT
cana-1518	219	18	(	(	PUNCT
cana-1518	219	19	20	20	X
cana-1518	219	20	)	)	PUNCT
cana-1518	219	21	𝑦4	𝑦4	NOUN
cana-1518	219	22	′	′	NUM
cana-1518	219	23	=	=	PUNCT
cana-1518	219	24	𝑦5	𝑦5	NOUN
cana-1518	219	25	,	,	PUNCT
cana-1518	219	26	communications	communication	NOUN
cana-1518	219	27	on	on	ADP
cana-1518	219	28	applied	apply	VERB
cana-1518	219	29	nonlinear	nonlinear	ADJ
cana-1518	219	30	analysis	analysis	NOUN
cana-1518	219	31	issn	issn	NOUN
cana-1518	219	32	:	:	PUNCT
cana-1518	219	33	1074	1074	NUM
cana-1518	219	34	-	-	PUNCT
cana-1518	219	35	133x	133x	NUM
cana-1518	219	36	vol	vol	NOUN
cana-1518	219	37	31	31	NUM
cana-1518	219	38	no	no	NOUN
cana-1518	219	39	.	.	PUNCT
cana-1518	220	1	8s	8s	PROPN
cana-1518	220	2	(	(	PUNCT
cana-1518	220	3	2024	2024	NUM
cana-1518	220	4	)	)	PUNCT
cana-1518	220	5	387	387	NUM
cana-1518	220	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	220	7	𝑦5	𝑦5	NOUN
cana-1518	220	8	′	′	NUM
cana-1518	221	1	=	=	SYM
cana-1518	222	1	(	(	PUNCT
cana-1518	222	2	−3	−3	PROPN
cana-1518	222	3	3	3	NUM
cana-1518	222	4	+	+	NOUN
cana-1518	222	5	4𝑅	4𝑅	NOUN
cana-1518	222	6	)	)	PUNCT
cana-1518	223	1	[	[	X
cana-1518	223	2	pr	pr	X
cana-1518	223	3	{	{	PUNCT
cana-1518	223	4	𝑦1𝑦5	𝑦1𝑦5	X
cana-1518	223	5	+	+	SYM
cana-1518	223	6	𝑁𝑏𝑦5𝑦7	𝑁𝑏𝑦5𝑦7	X
cana-1518	224	1	+	+	CCONJ
cana-1518	224	2	𝑁𝑡𝑦5	𝑁𝑡𝑦5	ADJ
cana-1518	224	3	2	2	NUM
cana-1518	224	4	+	+	CCONJ
cana-1518	224	5	(	(	PUNCT
cana-1518	224	6	1	1	NUM
cana-1518	224	7	+	+	SYM
cana-1518	224	8	1	1	NUM
cana-1518	224	9	𝛽	𝛽	NOUN
cana-1518	224	10	)	)	PUNCT
cana-1518	224	11	𝐸𝑐𝑦3	𝐸𝑐𝑦3	NOUN
cana-1518	224	12	2	2	NUM
cana-1518	224	13	+	+	NOUN
cana-1518	224	14	𝐸𝑐𝑀sin2	𝐸𝑐𝑀sin2	NOUN
cana-1518	224	15	𝛾𝑦2	𝛾𝑦2	NOUN
cana-1518	224	16	2}+𝐴	2}+𝐴	NUM
cana-1518	224	17	∗𝑦2	∗𝑦2	NOUN
cana-1518	225	1	+	+	CCONJ
cana-1518	225	2	𝐵	𝐵	NOUN
cana-1518	225	3	∗𝑦4	∗𝑦4	PROPN
cana-1518	225	4	]	]	PUNCT
cana-1518	225	5	(	(	PUNCT
cana-1518	225	6	21	21	NUM
cana-1518	225	7	)	)	PUNCT
cana-1518	225	8	𝑦6	𝑦6	VERB
cana-1518	225	9	′	′	NUM
cana-1518	225	10	=	=	SYM
cana-1518	225	11	𝑦7	𝑦7	PROPN
cana-1518	225	12	,	,	PUNCT
cana-1518	225	13	𝑦7	𝑦7	NOUN
cana-1518	225	14	′	′	NOUN
cana-1518	225	15	=	=	PUNCT
cana-1518	226	1	−	−	PROPN
cana-1518	227	1	[	[	PUNCT
cana-1518	227	2	𝑆𝑐𝑦1𝑦7	𝑆𝑐𝑦1𝑦7	ADP
cana-1518	227	3	+	+	X
cana-1518	227	4	𝑁𝑡	𝑁𝑡	PROPN
cana-1518	227	5	𝑁𝑏	𝑁𝑏	PROPN
cana-1518	227	6	(	(	PUNCT
cana-1518	227	7	−3	−3	PROPN
cana-1518	227	8	3	3	NUM
cana-1518	227	9	+	+	NOUN
cana-1518	227	10	4𝑅	4𝑅	NOUN
cana-1518	227	11	)	)	PUNCT
cana-1518	228	1	[	[	X
cana-1518	228	2	𝑃𝑟	𝑃𝑟	PROPN
cana-1518	228	3	{	{	PUNCT
cana-1518	228	4	(	(	PUNCT
cana-1518	228	5	1	1	NUM
cana-1518	228	6	+	+	SYM
cana-1518	228	7	1	1	NUM
cana-1518	228	8	𝛽	𝛽	NOUN
cana-1518	228	9	)	)	PUNCT
cana-1518	228	10	𝐸𝑐𝑦32	𝐸𝑐𝑦32	PROPN
cana-1518	228	11	+	+	CCONJ
cana-1518	228	12	𝐸𝑐𝑀	𝐸𝑐𝑀	NOUN
cana-1518	228	13	𝑠𝑖𝑛	𝑠𝑖𝑛	NOUN
cana-1518	228	14	2𝛾𝑦2	2𝛾𝑦2	NUM
cana-1518	228	15	2	2	NUM
cana-1518	228	16	}	}	PUNCT
cana-1518	228	17	+	+	NUM
cana-1518	228	18	𝐴∗𝑦2	𝐴∗𝑦2	NUM
cana-1518	228	19	+	+	CCONJ
cana-1518	228	20	𝐵∗𝑦4	𝐵∗𝑦4	PRON
cana-1518	228	21	]	]	X
cana-1518	228	22	−	−	PROPN
cana-1518	228	23	𝐾𝑐𝑆𝑐𝑦6	𝐾𝑐𝑆𝑐𝑦6	NOUN
cana-1518	228	24	]	]	X
cana-1518	228	25	(	(	PUNCT
cana-1518	228	26	22	22	NUM
cana-1518	228	27	)	)	PUNCT
cana-1518	228	28	this	this	DET
cana-1518	228	29	system	system	NOUN
cana-1518	228	30	of	of	ADP
cana-1518	228	31	equations	equation	NOUN
cana-1518	228	32	is	be	AUX
cana-1518	228	33	solved	solve	VERB
cana-1518	228	34	subject	subject	ADJ
cana-1518	228	35	to	to	ADP
cana-1518	228	36	the	the	DET
cana-1518	228	37	initial	initial	ADJ
cana-1518	228	38	conditions	condition	NOUN
cana-1518	228	39	:	:	PUNCT
cana-1518	228	40	𝑦1(0	𝑦1(0	PROPN
cana-1518	228	41	)	)	PUNCT
cana-1518	228	42	=	=	SYM
cana-1518	228	43	0	0	NUM
cana-1518	228	44	,	,	PUNCT
cana-1518	228	45	𝑦2(0	𝑦2(0	PROPN
cana-1518	228	46	)	)	PUNCT
cana-1518	228	47	=	=	SYM
cana-1518	228	48	1	1	NUM
cana-1518	228	49	,	,	PUNCT
cana-1518	228	50	𝑦4(0	𝑦4(0	NOUN
cana-1518	228	51	)	)	PUNCT
cana-1518	228	52	=	=	SYM
cana-1518	228	53	𝐵𝑖+𝑦5(0	𝐵𝑖+𝑦5(0	NOUN
cana-1518	228	54	)	)	PUNCT
cana-1518	228	55	𝐵𝑖	𝐵𝑖	PROPN
cana-1518	228	56	,	,	PUNCT
cana-1518	228	57	𝑦7(0	𝑦7(0	PROPN
cana-1518	228	58	)	)	PUNCT
cana-1518	228	59	=	=	PUNCT
cana-1518	229	1	𝑁𝑡	𝑁𝑡	PROPN
cana-1518	229	2	𝑁𝑏	𝑁𝑏	PROPN
cana-1518	229	3	𝑦5(0	𝑦5(0	PROPN
cana-1518	229	4	)	)	PUNCT
cana-1518	229	5	(	(	PUNCT
cana-1518	229	6	23	23	NUM
cana-1518	229	7	)	)	PUNCT
cana-1518	229	8	in	in	ADP
cana-1518	229	9	solving	solve	VERB
cana-1518	229	10	the	the	DET
cana-1518	229	11	boundary	boundary	ADJ
cana-1518	229	12	value	value	NOUN
cana-1518	229	13	problem	problem	NOUN
cana-1518	229	14	a	a	DET
cana-1518	229	15	shooting	shooting	NOUN
cana-1518	229	16	method	method	NOUN
cana-1518	229	17	is	be	AUX
cana-1518	229	18	used	use	VERB
cana-1518	229	19	,	,	PUNCT
cana-1518	229	20	which	which	PRON
cana-1518	229	21	iteratively	iteratively	ADV
cana-1518	229	22	refines	refine	VERB
cana-1518	229	23	an	an	DET
cana-1518	229	24	initial	initial	ADJ
cana-1518	229	25	guess	guess	NOUN
cana-1518	229	26	of	of	ADP
cana-1518	229	27	standard	standard	ADJ
cana-1518	229	28	parameters	parameter	NOUN
cana-1518	229	29	(	(	PUNCT
cana-1518	229	30	y3(0	y3(0	PROPN
cana-1518	229	31	)	)	PUNCT
cana-1518	229	32	,	,	PUNCT
cana-1518	229	33	y5(0	y5(0	PROPN
cana-1518	229	34	)	)	PUNCT
cana-1518	229	35	,	,	PUNCT
cana-1518	229	36	y6(0	y6(0	NOUN
cana-1518	229	37	)	)	PUNCT
cana-1518	229	38	and	and	CCONJ
cana-1518	229	39	y7(0	y7(0	PROPN
cana-1518	229	40	)	)	PUNCT
cana-1518	229	41	)	)	PUNCT
cana-1518	229	42	with	with	ADP
cana-1518	229	43	trail	trail	NOUN
cana-1518	229	44	solutions	solution	NOUN
cana-1518	229	45	.	.	PUNCT
cana-1518	230	1	my	my	PRON
cana-1518	230	2	objective	objective	NOUN
cana-1518	230	3	is	be	AUX
cana-1518	230	4	to	to	PART
cana-1518	230	5	change	change	VERB
cana-1518	230	6	these	these	DET
cana-1518	230	7	numbers	number	NOUN
cana-1518	230	8	so	so	SCONJ
cana-1518	230	9	that	that	SCONJ
cana-1518	230	10	the	the	DET
cana-1518	230	11	solution	solution	NOUN
cana-1518	230	12	obeys	obey	VERB
cana-1518	230	13	care	care	VERB
cana-1518	230	14	at	at	ADP
cana-1518	230	15	infinity	infinity	NOUN
cana-1518	230	16	:	:	PUNCT
cana-1518	230	17	boundary	boundary	ADJ
cana-1518	230	18	conditions	condition	NOUN
cana-1518	230	19	:	:	PUNCT
cana-1518	230	20	(	(	PUNCT
cana-1518	230	21	y2(∞)=	y2(∞)=	X
cana-1518	230	22	\lambda	\lambda	PROPN
cana-1518	230	23	):	):	PUNCT
cana-1518	230	24	guarantee	guarantee	VERB
cana-1518	230	25	that	that	SCONJ
cana-1518	230	26	the	the	DET
cana-1518	230	27	spreading	spread	VERB
cana-1518	230	28	rate	rate	NOUN
cana-1518	230	29	is	be	AUX
cana-1518	230	30	satisfied	satisfied	ADJ
cana-1518	230	31	at	at	ADP
cana-1518	230	32	infinity	infinity	NOUN
cana-1518	230	33	.	.	PUNCT
cana-1518	231	1	(	(	PUNCT
cana-1518	231	2	y_4(∞	y_4(∞	X
cana-1518	231	3	)	)	PUNCT
cana-1518	231	4	=	=	SYM
cana-1518	231	5	0	0	NUM
cana-1518	231	6	):	):	PUNCT
cana-1518	231	7	to	to	ADP
cana-1518	231	8	the	the	DET
cana-1518	231	9	demand	demand	NOUN
cana-1518	231	10	of	of	ADP
cana-1518	231	11	vanishing	vanish	VERB
cana-1518	231	12	velocity	velocity	NOUN
cana-1518	231	13	gradient	gradient	NOUN
cana-1518	231	14	at	at	ADP
cana-1518	231	15	infinity	infinity	NOUN
cana-1518	231	16	.	.	PUNCT
cana-1518	232	1	(	(	PUNCT
cana-1518	232	2	y_6(∞	y_6(∞	NOUN
cana-1518	232	3	)	)	PUNCT
cana-1518	232	4	=	=	SYM
cana-1518	232	5	0	0	NUM
cana-1518	232	6	):	):	PUNCT
cana-1518	232	7	this	this	PRON
cana-1518	232	8	includes	include	VERB
cana-1518	232	9	the	the	DET
cana-1518	232	10	last	last	ADJ
cana-1518	232	11	term	term	NOUN
cana-1518	232	12	of	of	ADP
cana-1518	232	13	equation	equation	NOUN
cana-1518	232	14	(	(	PUNCT
cana-1518	232	15	3	3	NUM
cana-1518	232	16	)	)	PUNCT
cana-1518	232	17	,	,	PUNCT
cana-1518	232	18	and	and	CCONJ
cana-1518	232	19	it	it	PRON
cana-1518	232	20	means	mean	VERB
cana-1518	232	21	that	that	SCONJ
cana-1518	232	22	we	we	PRON
cana-1518	232	23	force	force	VERB
cana-1518	232	24	the	the	DET
cana-1518	232	25	temperature	temperature	NOUN
cana-1518	232	26	profile	profile	NOUN
cana-1518	232	27	to	to	PART
cana-1518	232	28	vanish	vanish	VERB
cana-1518	232	29	at	at	ADP
cana-1518	232	30	infinity	infinity	NOUN
cana-1518	232	31	.	.	PUNCT
cana-1518	233	1	the	the	DET
cana-1518	233	2	algorithm	algorithm	NOUN
cana-1518	233	3	is	be	AUX
cana-1518	233	4	called	call	VERB
cana-1518	233	5	with	with	ADP
cana-1518	233	6	initial	initial	ADJ
cana-1518	233	7	guesses	guess	NOUN
cana-1518	233	8	for	for	ADP
cana-1518	233	9	y3(0	y3(0	PROPN
cana-1518	233	10	)	)	PUNCT
cana-1518	233	11	,	,	PUNCT
cana-1518	233	12	y5(0	y5(0	PROPN
cana-1518	233	13	)	)	PUNCT
cana-1518	233	14	,	,	PUNCT
cana-1518	233	15	y6(0	y6(0	NOUN
cana-1518	233	16	)	)	PUNCT
cana-1518	233	17	and	and	CCONJ
cana-1518	233	18	,	,	PUNCT
cana-1518	233	19	given	give	VERB
cana-1518	233	20	the	the	DET
cana-1518	233	21	result	result	NOUN
cana-1518	233	22	it	it	PRON
cana-1518	233	23	solves	solve	VERB
cana-1518	233	24	differential	differential	ADJ
cana-1518	233	25	equations	equation	NOUN
cana-1518	233	26	system	system	NOUN
cana-1518	233	27	using	use	VERB
cana-1518	233	28	4th	4th	ADJ
cana-1518	233	29	order	order	NOUN
cana-1518	233	30	runge	runge	NOUN
cana-1518	233	31	-	-	PUNCT
cana-1518	233	32	kutta	kutta	NOUN
cana-1518	233	33	method	method	NOUN
cana-1518	233	34	.	.	PUNCT
cana-1518	234	1	the	the	DET
cana-1518	234	2	numerical	numerical	ADJ
cana-1518	234	3	solution	solution	NOUN
cana-1518	234	4	is	be	AUX
cana-1518	234	5	then	then	ADV
cana-1518	234	6	used	use	VERB
cana-1518	234	7	to	to	PART
cana-1518	234	8	verify	verify	VERB
cana-1518	234	9	that	that	SCONJ
cana-1518	234	10	the	the	DET
cana-1518	234	11	results	result	NOUN
cana-1518	234	12	satisfy	satisfy	VERB
cana-1518	234	13	the	the	DET
cana-1518	234	14	required	require	VERB
cana-1518	234	15	boundary	boundary	ADJ
cana-1518	234	16	conditions	condition	NOUN
cana-1518	234	17	at	at	ADP
cana-1518	234	18	spatial	spatial	ADJ
cana-1518	234	19	infinity	infinity	NOUN
cana-1518	234	20	.	.	PUNCT
cana-1518	235	1	the	the	DET
cana-1518	235	2	initial	initial	ADJ
cana-1518	235	3	guesses	guess	NOUN
cana-1518	235	4	are	be	AUX
cana-1518	235	5	adjusted	adjust	VERB
cana-1518	235	6	iteratively	iteratively	ADV
cana-1518	235	7	from	from	ADP
cana-1518	235	8	the	the	DET
cana-1518	235	9	discrepancies	discrepancy	NOUN
cana-1518	235	10	between	between	ADP
cana-1518	235	11	computed	computed	ADJ
cana-1518	235	12	values	value	NOUN
cana-1518	235	13	and	and	CCONJ
cana-1518	235	14	boundary	boundary	ADJ
cana-1518	235	15	conditions	condition	NOUN
cana-1518	235	16	.	.	PUNCT
cana-1518	236	1	the	the	DET
cana-1518	236	2	numerical	numerical	ADJ
cana-1518	236	3	solution	solution	NOUN
cana-1518	236	4	is	be	AUX
cana-1518	236	5	verified	verify	VERB
cana-1518	236	6	and	and	CCONJ
cana-1518	236	7	stabilized	stabilize	VERB
cana-1518	236	8	through	through	ADP
cana-1518	236	9	the	the	DET
cana-1518	236	10	use	use	NOUN
cana-1518	236	11	of	of	ADP
cana-1518	236	12	a	a	DET
cana-1518	236	13	very	very	ADV
cana-1518	236	14	small	small	ADJ
cana-1518	236	15	step	step	NOUN
cana-1518	236	16	size	size	NOUN
cana-1518	236	17	∆𝑛	∆𝑛	NOUN
cana-1518	236	18	=	=	NOUN
cana-1518	236	19	0.01	0.01	NUM
cana-1518	236	20	with	with	ADP
cana-1518	236	21	an	an	DET
cana-1518	236	22	error	error	NOUN
cana-1518	236	23	tolerance	tolerance	NOUN
cana-1518	236	24	set	set	VERB
cana-1518	236	25	to	to	PART
cana-1518	236	26	be	be	AUX
cana-1518	236	27	at	at	ADP
cana-1518	236	28	or	or	CCONJ
cana-1518	236	29	below	below	ADP
cana-1518	236	30	10	10	NUM
cana-1518	236	31	-	-	PUNCT
cana-1518	236	32	5as	5as	NOUN
cana-1518	236	33	it	it	PRON
cana-1518	236	34	is	be	AUX
cana-1518	236	35	a	a	DET
cana-1518	236	36	small	small	ADJ
cana-1518	236	37	step	step	NOUN
cana-1518	236	38	,	,	PUNCT
cana-1518	236	39	the	the	DET
cana-1518	236	40	solution	solution	NOUN
cana-1518	236	41	behavior	behavior	NOUN
cana-1518	236	42	detail	detail	NOUN
cana-1518	236	43	can	can	AUX
cana-1518	236	44	be	be	AUX
cana-1518	236	45	captured	capture	VERB
cana-1518	236	46	more	more	ADV
cana-1518	236	47	closely	closely	ADV
cana-1518	236	48	and	and	CCONJ
cana-1518	236	49	error	error	NOUN
cana-1518	236	50	tolerance	tolerance	NOUN
cana-1518	236	51	keeps	keep	VERB
cana-1518	236	52	the	the	DET
cana-1518	236	53	convergent	convergent	NOUN
cana-1518	236	54	of	of	ADP
cana-1518	236	55	accuracy	accuracy	NOUN
cana-1518	236	56	high	high	ADJ
cana-1518	236	57	by	by	ADP
cana-1518	236	58	keeping	keep	VERB
cana-1518	236	59	smallest	small	ADJ
cana-1518	236	60	numerical	numerical	ADJ
cana-1518	236	61	errors	error	NOUN
cana-1518	236	62	that	that	PRON
cana-1518	236	63	makes	make	VERB
cana-1518	236	64	solutions	solution	NOUN
cana-1518	236	65	are	be	AUX
cana-1518	236	66	most	most	ADV
cana-1518	236	67	reliable	reliable	ADJ
cana-1518	236	68	.	.	PUNCT
cana-1518	237	1	this	this	DET
cana-1518	237	2	set	set	NOUN
cana-1518	237	3	of	of	ADP
cana-1518	237	4	methods	method	NOUN
cana-1518	237	5	and	and	CCONJ
cana-1518	237	6	parameters	parameter	NOUN
cana-1518	237	7	provide	provide	VERB
cana-1518	237	8	strong	strong	ADJ
cana-1518	237	9	solutions	solution	NOUN
cana-1518	237	10	to	to	ADP
cana-1518	237	11	the	the	DET
cana-1518	237	12	coupled	couple	VERB
cana-1518	237	13	nonlinear	nonlinear	ADJ
cana-1518	237	14	differential	differential	ADJ
cana-1518	237	15	equations	equation	NOUN
cana-1518	237	16	.	.	PUNCT
cana-1518	238	1	physical	physical	ADJ
cana-1518	238	2	interpretation	interpretation	NOUN
cana-1518	238	3	of	of	ADP
cana-1518	238	4	results	result	NOUN
cana-1518	238	5	the	the	DET
cana-1518	238	6	importance	importance	NOUN
cana-1518	238	7	of	of	ADP
cana-1518	238	8	the	the	DET
cana-1518	238	9	numerical	numerical	ADJ
cana-1518	238	10	results	result	NOUN
cana-1518	238	11	that	that	PRON
cana-1518	238	12	are	be	AUX
cana-1518	238	13	provided	provide	VERB
cana-1518	238	14	from	from	ADP
cana-1518	238	15	the	the	DET
cana-1518	238	16	solution	solution	NOUN
cana-1518	238	17	to	to	ADP
cana-1518	238	18	this	this	DET
cana-1518	238	19	problem	problem	NOUN
cana-1518	238	20	in	in	ADP
cana-1518	238	21	understanding	understand	VERB
cana-1518	238	22	fluid	fluid	ADJ
cana-1518	238	23	flow	flow	NOUN
cana-1518	238	24	,	,	PUNCT
cana-1518	238	25	heat	heat	NOUN
cana-1518	238	26	transfer	transfer	NOUN
cana-1518	238	27	and	and	CCONJ
cana-1518	238	28	nanoparticle	nanoparticle	NOUN
cana-1518	238	29	distribution	distribution	NOUN
cana-1518	238	30	within	within	ADP
cana-1518	238	31	a	a	DET
cana-1518	238	32	boundary	boundary	ADJ
cana-1518	238	33	layer	layer	NOUN
cana-1518	238	34	is	be	AUX
cana-1518	238	35	quantified	quantify	VERB
cana-1518	238	36	by	by	ADP
cana-1518	238	37	expressing	express	VERB
cana-1518	238	38	these	these	DET
cana-1518	238	39	quantities	quantity	NOUN
cana-1518	238	40	though	though	SCONJ
cana-1518	238	41	important	important	ADJ
cana-1518	238	42	dimensionless	dimensionless	NOUN
cana-1518	238	43	parameters	parameter	NOUN
cana-1518	238	44	namely	namely	ADV
cana-1518	238	45	skin	skin	VERB
cana-1518	238	46	friction	friction	NOUN
cana-1518	238	47	coefficient	coefficient	NOUN
cana-1518	239	1	𝐶𝑓	𝐶𝑓	PROPN
cana-1518	239	2	,	,	PUNCT
cana-1518	239	3	local	local	ADJ
cana-1518	239	4	nusselt	nusselt	NOUN
cana-1518	239	5	number	number	NOUN
cana-1518	239	6	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	239	7	and	and	CCONJ
cana-1518	239	8	local	local	ADJ
cana-1518	239	9	sherwood	sherwood	PROPN
cana-1518	239	10	number	number	NOUN
cana-1518	239	11	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	239	12	.	.	PUNCT
cana-1518	240	1	the	the	DET
cana-1518	240	2	skin	skin	NOUN
cana-1518	240	3	friction	friction	NOUN
cana-1518	240	4	coefficient	coefficient	NOUN
cana-1518	240	5	,	,	PUNCT
cana-1518	240	6	𝐶𝑓	𝐶𝑓	PROPN
cana-1518	240	7	,	,	PUNCT
cana-1518	240	8	represents	represent	VERB
cana-1518	240	9	the	the	DET
cana-1518	240	10	wall	wall	PROPN
cana-1518	240	11	shear	shear	PROPN
cana-1518	240	12	stress	stress	NOUN
cana-1518	240	13	and	and	CCONJ
cana-1518	240	14	is	be	AUX
cana-1518	240	15	a	a	DET
cana-1518	240	16	measure	measure	NOUN
cana-1518	240	17	of	of	ADP
cana-1518	240	18	resistance	resistance	NOUN
cana-1518	240	19	due	due	ADP
cana-1518	240	20	to	to	ADP
cana-1518	240	21	viscous	viscous	ADJ
cana-1518	240	22	drag	drag	NOUN
cana-1518	240	23	which	which	PRON
cana-1518	240	24	in	in	ADP
cana-1518	240	25	turn	turn	NOUN
cana-1518	240	26	depends	depend	VERB
cana-1518	240	27	on	on	ADP
cana-1518	240	28	nature	nature	NOUN
cana-1518	240	29	ofthe	ofthe	NOUN
cana-1518	240	30	fluid	fluid	NOUN
cana-1518	240	31	and	and	CCONJ
cana-1518	240	32	surface	surface	NOUN
cana-1518	240	33	sudesh	sudesh	PROPN
cana-1518	240	34	y.	y.	PROPN
cana-1518	240	35	talwar	talwar	PROPN
cana-1518	240	36	6	6	NUM
cana-1518	240	37	the	the	DET
cana-1518	240	38	local	local	ADJ
cana-1518	240	39	nusselt	nusselt	NOUN
cana-1518	240	40	number	number	NOUN
cana-1518	240	41	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	240	42	quantifies	quantify	VERB
cana-1518	240	43	the	the	DET
cana-1518	240	44	heat	heat	NOUN
cana-1518	240	45	transferred	transfer	VERB
cana-1518	240	46	from	from	ADP
cana-1518	240	47	a	a	DET
cana-1518	240	48	surface	surface	NOUN
cana-1518	240	49	to	to	ADP
cana-1518	240	50	that	that	PRON
cana-1518	240	51	which	which	PRON
cana-1518	240	52	is	be	AUX
cana-1518	240	53	flowing	flow	VERB
cana-1518	240	54	through	through	ADP
cana-1518	240	55	it	it	PRON
cana-1518	240	56	,	,	PUNCT
cana-1518	240	57	based	base	VERB
cana-1518	240	58	on	on	ADP
cana-1518	240	59	the	the	DET
cana-1518	240	60	temperature	temperature	NOUN
cana-1518	240	61	gradient	gradient	NOUN
cana-1518	240	62	at	at	ADP
cana-1518	240	63	the	the	DET
cana-1518	240	64	wall	wall	NOUN
cana-1518	240	65	.	.	PUNCT
cana-1518	241	1	also	also	ADV
cana-1518	241	2	,	,	PUNCT
cana-1518	241	3	sherwood	sherwood	PROPN
cana-1518	241	4	number	number	NOUN
cana-1518	241	5	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	241	6	on	on	ADP
cana-1518	241	7	local	local	ADJ
cana-1518	241	8	basis	basis	NOUN
cana-1518	241	9	signifies	signifie	NOUN
cana-1518	241	10	nanoparticle	nanoparticle	NOUN
cana-1518	241	11	or	or	CCONJ
cana-1518	241	12	solute	solute	VERB
cana-1518	241	13	transfer	transfer	NOUN
cana-1518	241	14	rate	rate	NOUN
cana-1518	241	15	because	because	SCONJ
cana-1518	241	16	of	of	ADP
cana-1518	241	17	concentration	concentration	NOUN
cana-1518	241	18	gradient	gradient	NOUN
cana-1518	241	19	at	at	ADP
cana-1518	241	20	the	the	DET
cana-1518	241	21	wall	wall	NOUN
cana-1518	241	22	.	.	PUNCT
cana-1518	242	1	these	these	DET
cana-1518	242	2	parameters	parameter	NOUN
cana-1518	242	3	are	be	AUX
cana-1518	242	4	essential	essential	ADJ
cana-1518	242	5	in	in	ADP
cana-1518	242	6	the	the	DET
cana-1518	242	7	communications	communication	NOUN
cana-1518	242	8	on	on	ADP
cana-1518	242	9	applied	apply	VERB
cana-1518	242	10	nonlinear	nonlinear	ADJ
cana-1518	242	11	analysis	analysis	NOUN
cana-1518	242	12	issn	issn	NOUN
cana-1518	242	13	:	:	PUNCT
cana-1518	242	14	1074	1074	NUM
cana-1518	242	15	-	-	PUNCT
cana-1518	242	16	133x	133x	NUM
cana-1518	242	17	vol	vol	NOUN
cana-1518	242	18	31	31	NUM
cana-1518	242	19	no	no	NOUN
cana-1518	242	20	.	.	PUNCT
cana-1518	243	1	8s	8s	PROPN
cana-1518	243	2	(	(	PUNCT
cana-1518	243	3	2024	2024	NUM
cana-1518	243	4	)	)	PUNCT
cana-1518	243	5	388	388	NUM
cana-1518	243	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	243	7	assessment	assessment	NOUN
cana-1518	243	8	of	of	ADP
cana-1518	243	9	momentum	momentum	NOUN
cana-1518	243	10	,	,	PUNCT
cana-1518	243	11	heat	heat	NOUN
cana-1518	243	12	and	and	CCONJ
cana-1518	243	13	mass	mass	NOUN
cana-1518	243	14	transfer	transfer	NOUN
cana-1518	243	15	inside	inside	ADP
cana-1518	243	16	the	the	DET
cana-1518	243	17	boundary	boundary	ADJ
cana-1518	243	18	layer	layer	NOUN
cana-1518	243	19	—	—	PUNCT
cana-1518	243	20	hence	hence	ADV
cana-1518	243	21	they	they	PRON
cana-1518	243	22	offer	offer	VERB
cana-1518	243	23	a	a	DET
cana-1518	243	24	detailed	detailed	ADJ
cana-1518	243	25	picture	picture	NOUN
cana-1518	243	26	about	about	ADP
cana-1518	243	27	its	its	PRON
cana-1518	243	28	physical	physical	ADJ
cana-1518	243	29	behavior	behavior	NOUN
cana-1518	243	30	.	.	PUNCT
cana-1518	244	1	𝐶𝑓	𝐶𝑓	NOUN
cana-1518	244	2	=	=	SYM
cana-1518	244	3	𝜏𝑤	𝜏𝑤	ADP
cana-1518	244	4	𝜌𝑈𝑤	𝜌𝑈𝑤	NOUN
cana-1518	244	5	2	2	NUM
cana-1518	244	6	⇒	⇒	NOUN
cana-1518	244	7	𝐶𝑓√re𝑥	𝐶𝑓√re𝑥	PROPN
cana-1518	244	8	=	=	PUNCT
cana-1518	244	9	(	(	PUNCT
cana-1518	244	10	1	1	NUM
cana-1518	244	11	+	+	SYM
cana-1518	244	12	1	1	NUM
cana-1518	244	13	𝛽	𝛽	NOUN
cana-1518	244	14	)	)	PUNCT
cana-1518	244	15	𝑓′′(0	𝑓′′(0	NOUN
cana-1518	244	16	)	)	PUNCT
cana-1518	244	17	,	,	PUNCT
cana-1518	244	18	(	(	PUNCT
cana-1518	244	19	24	24	NUM
cana-1518	244	20	)	)	PUNCT
cana-1518	244	21	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	244	22	=	=	PUNCT
cana-1518	244	23	𝑥𝑞𝑤	𝑥𝑞𝑤	PROPN
cana-1518	244	24	𝑘𝑓(𝑇𝑤−𝑇∞	𝑘𝑓(𝑇𝑤−𝑇∞	NOUN
cana-1518	244	25	)	)	PUNCT
cana-1518	244	26	⇒	⇒	VERB
cana-1518	244	27	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	244	28	√re𝑥	√re𝑥	VERB
cana-1518	244	29	=	=	PUNCT
cana-1518	245	1	−(1	−(1	NOUN
cana-1518	245	2	+	+	CCONJ
cana-1518	245	3	4	4	NUM
cana-1518	245	4	3	3	NUM
cana-1518	245	5	𝑅)𝜃′(0	𝑅)𝜃′(0	NOUN
cana-1518	245	6	)	)	PUNCT
cana-1518	245	7	,	,	PUNCT
cana-1518	245	8	(	(	PUNCT
cana-1518	245	9	25	25	NUM
cana-1518	245	10	)	)	PUNCT
cana-1518	245	11	𝑆ℎ𝑥	𝑆ℎ𝑥	NOUN
cana-1518	245	12	=	=	SYM
cana-1518	245	13	𝑥𝑞𝑚	𝑥𝑞𝑚	PROPN
cana-1518	245	14	𝐷𝐵(𝐶𝑤−𝐶∞	𝐷𝐵(𝐶𝑤−𝐶∞	PROPN
cana-1518	245	15	)	)	PUNCT
cana-1518	245	16	⇒	⇒	VERB
cana-1518	245	17	𝑆ℎ𝑥	𝑆ℎ𝑥	NOUN
cana-1518	245	18	√re𝑥	√re𝑥	VERB
cana-1518	245	19	=	=	SYM
cana-1518	245	20	−𝜙′(0	−𝜙′(0	PROPN
cana-1518	245	21	)	)	PUNCT
cana-1518	245	22	,	,	PUNCT
cana-1518	245	23	(	(	PUNCT
cana-1518	245	24	26	26	NUM
cana-1518	245	25	)	)	PUNCT
cana-1518	245	26	these	these	DET
cana-1518	245	27	correlations	correlation	NOUN
cana-1518	245	28	for	for	ADP
cana-1518	245	29	the	the	DET
cana-1518	245	30	skin	skin	NOUN
cana-1518	245	31	friction	friction	NOUN
cana-1518	245	32	coefficient	coefficient	NOUN
cana-1518	246	1	𝐶𝑓	𝐶𝑓	PROPN
cana-1518	246	2	nusselt	nusselt	NOUN
cana-1518	246	3	number	number	NOUN
cana-1518	246	4	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	246	5	and	and	CCONJ
cana-1518	246	6	sherwood	sherwood	PROPN
cana-1518	246	7	number	number	PROPN
cana-1518	246	8	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	246	9	,	,	PUNCT
cana-1518	246	10	are	be	AUX
cana-1518	246	11	important	important	ADJ
cana-1518	246	12	to	to	PART
cana-1518	246	13	determine	determine	VERB
cana-1518	246	14	surface	surface	NOUN
cana-1518	246	15	drag	drag	VERB
cana-1518	246	16	,	,	PUNCT
cana-1518	246	17	heat	heat	NOUN
cana-1518	246	18	transfer	transfer	NOUN
cana-1518	246	19	rate	rate	NOUN
cana-1518	246	20	and	and	CCONJ
cana-1518	246	21	mass	mass	NOUN
cana-1518	246	22	transfer	transfer	NOUN
cana-1518	246	23	rate	rate	NOUN
cana-1518	246	24	in	in	ADP
cana-1518	246	25	boundary	boundary	ADJ
cana-1518	246	26	layer	layer	NOUN
cana-1518	246	27	constituents	constituent	NOUN
cana-1518	246	28	.	.	PUNCT
cana-1518	247	1	understanding	understand	VERB
cana-1518	247	2	the	the	DET
cana-1518	247	3	flow	flow	NOUN
cana-1518	247	4	of	of	ADP
cana-1518	247	5	two	two	NUM
cana-1518	247	6	viscous	viscous	ADJ
cana-1518	247	7	fluids	fluid	NOUN
cana-1518	247	8	over	over	ADP
cana-1518	247	9	a	a	DET
cana-1518	247	10	third	third	NOUN
cana-1518	247	11	,	,	PUNCT
cana-1518	247	12	which	which	PRON
cana-1518	247	13	is	be	AUX
cana-1518	247	14	typically	typically	ADV
cana-1518	247	15	referred	refer	VERB
cana-1518	247	16	to	to	ADP
cana-1518	247	17	as	as	ADP
cana-1518	247	18	stretching	stretch	VERB
cana-1518	247	19	surface	surface	NOUN
cana-1518	247	20	fluid	fluid	ADJ
cana-1518	247	21	dynamics	dynamic	NOUN
cana-1518	247	22	,	,	PUNCT
cana-1518	247	23	has	have	VERB
cana-1518	247	24	particular	particular	ADJ
cana-1518	247	25	practical	practical	ADJ
cana-1518	247	26	significance	significance	NOUN
cana-1518	247	27	for	for	ADP
cana-1518	247	28	industrial	industrial	ADJ
cana-1518	247	29	processes	process	NOUN
cana-1518	247	30	where	where	SCONJ
cana-1518	247	31	such	such	ADJ
cana-1518	247	32	flows	flow	NOUN
cana-1518	247	33	are	be	AUX
cana-1518	247	34	common	common	ADJ
cana-1518	247	35	—	—	PUNCT
cana-1518	247	36	from	from	ADP
cana-1518	247	37	cooling	cool	VERB
cana-1518	247	38	and	and	CCONJ
cana-1518	247	39	coating	coat	VERB
cana-1518	247	40	applications	application	NOUN
cana-1518	247	41	through	through	ADP
cana-1518	247	42	to	to	ADP
cana-1518	247	43	material	material	NOUN
cana-1518	247	44	manufacturing	manufacturing	NOUN
cana-1518	247	45	.	.	PUNCT
cana-1518	248	1	the	the	DET
cana-1518	248	2	skin	skin	NOUN
cana-1518	248	3	friction	friction	NOUN
cana-1518	248	4	coefficient	coefficient	NOUN
cana-1518	248	5	corresponds	correspond	VERB
cana-1518	248	6	to	to	ADP
cana-1518	248	7	the	the	DET
cana-1518	248	8	drag	drag	NOUN
cana-1518	248	9	force	force	NOUN
cana-1518	248	10	acting	act	VERB
cana-1518	248	11	on	on	ADP
cana-1518	248	12	a	a	DET
cana-1518	248	13	surface	surface	NOUN
cana-1518	248	14	because	because	SCONJ
cana-1518	248	15	of	of	ADP
cana-1518	248	16	the	the	DET
cana-1518	248	17	viscosity	viscosity	NOUN
cana-1518	248	18	of	of	ADP
cana-1518	248	19	the	the	DET
cana-1518	248	20	fluid	fluid	NOUN
cana-1518	248	21	,	,	PUNCT
cana-1518	248	22	and	and	CCONJ
cana-1518	248	23	it	it	PRON
cana-1518	248	24	is	be	AUX
cana-1518	248	25	one	one	NUM
cana-1518	248	26	of	of	ADP
cana-1518	248	27	key	key	ADJ
cana-1518	248	28	factors	factor	NOUN
cana-1518	248	29	that	that	PRON
cana-1518	248	30	governs	govern	VERB
cana-1518	248	31	energy	energy	NOUN
cana-1518	248	32	losses	loss	NOUN
cana-1518	248	33	and	and	CCONJ
cana-1518	248	34	mechanical	mechanical	ADJ
cana-1518	248	35	efficiency	efficiency	NOUN
cana-1518	248	36	in	in	ADP
cana-1518	248	37	fluid	fluid	ADJ
cana-1518	248	38	systems	system	NOUN
cana-1518	248	39	.	.	PUNCT
cana-1518	249	1	the	the	DET
cana-1518	249	2	nusselt	nusselt	NOUN
cana-1518	249	3	number	number	NOUN
cana-1518	249	4	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	249	5	is	be	AUX
cana-1518	249	6	a	a	DET
cana-1518	249	7	dimensionless	dimensionless	ADJ
cana-1518	249	8	way	way	NOUN
cana-1518	249	9	to	to	PART
cana-1518	249	10	evaluate	evaluate	VERB
cana-1518	249	11	the	the	DET
cana-1518	249	12	convective	convective	ADJ
cana-1518	249	13	heat	heat	NOUN
cana-1518	249	14	transfer	transfer	NOUN
cana-1518	249	15	from	from	ADP
cana-1518	249	16	surface	surface	NOUN
cana-1518	249	17	to	to	ADP
cana-1518	249	18	fluid	fluid	NOUN
cana-1518	249	19	and	and	CCONJ
cana-1518	249	20	it	it	PRON
cana-1518	249	21	gives	give	VERB
cana-1518	249	22	information	information	NOUN
cana-1518	249	23	about	about	ADP
cana-1518	249	24	thermal	thermal	ADJ
cana-1518	249	25	management	management	NOUN
cana-1518	249	26	efficiency	efficiency	NOUN
cana-1518	249	27	in	in	ADP
cana-1518	249	28	systems	system	NOUN
cana-1518	249	29	where	where	SCONJ
cana-1518	249	30	good	good	ADJ
cana-1518	249	31	dissipation	dissipation	NOUN
cana-1518	249	32	of	of	ADP
cana-1518	249	33	heat	heat	NOUN
cana-1518	249	34	loads	load	NOUN
cana-1518	249	35	are	be	AUX
cana-1518	249	36	most	most	ADV
cana-1518	249	37	significant	significant	ADJ
cana-1518	249	38	.	.	PUNCT
cana-1518	250	1	this	this	PRON
cana-1518	250	2	holds	hold	VERB
cana-1518	250	3	true	true	ADJ
cana-1518	250	4	for	for	ADP
cana-1518	250	5	mass	mass	ADJ
cana-1518	250	6	transfer	transfer	NOUN
cana-1518	250	7	and	and	CCONJ
cana-1518	250	8	its	its	PRON
cana-1518	250	9	influenced	influence	VERB
cana-1518	250	10	primarily	primarily	ADV
cana-1518	250	11	by	by	ADP
cana-1518	250	12	the	the	DET
cana-1518	250	13	sherwood	sherwood	PROPN
cana-1518	250	14	number	number	PROPN
cana-1518	250	15	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	250	16	which	which	PRON
cana-1518	250	17	is	be	AUX
cana-1518	250	18	an	an	DET
cana-1518	250	19	indicator	indicator	NOUN
cana-1518	250	20	of	of	ADP
cana-1518	250	21	how	how	SCONJ
cana-1518	250	22	well	well	ADV
cana-1518	250	23	nanoparticles	nanoparticle	NOUN
cana-1518	250	24	or	or	CCONJ
cana-1518	250	25	solutes	solute	NOUN
cana-1518	250	26	are	be	AUX
cana-1518	250	27	transported	transport	VERB
cana-1518	250	28	from	from	ADP
cana-1518	250	29	a	a	DET
cana-1518	250	30	surface	surface	NOUN
cana-1518	250	31	to	to	ADP
cana-1518	250	32	within	within	ADP
cana-1518	250	33	the	the	DET
cana-1518	250	34	stream	stream	NOUN
cana-1518	250	35	,	,	PUNCT
cana-1518	250	36	relevant	relevant	ADJ
cana-1518	250	37	in	in	ADP
cana-1518	250	38	processes	process	NOUN
cana-1518	250	39	like	like	ADP
cana-1518	250	40	leaching	leach	VERB
cana-1518	250	41	rections	rection	NOUN
cana-1518	250	42	,	,	PUNCT
cana-1518	250	43	coatings	coating	NOUN
cana-1518	250	44	,	,	PUNCT
cana-1518	250	45	filtration	filtration	NOUN
cana-1518	250	46	.	.	PUNCT
cana-1518	251	1	the	the	DET
cana-1518	251	2	mathematical	mathematical	ADJ
cana-1518	251	3	formulation	formulation	NOUN
cana-1518	251	4	and	and	CCONJ
cana-1518	251	5	numerical	numerical	ADJ
cana-1518	251	6	solutions	solution	NOUN
cana-1518	251	7	presented	present	VERB
cana-1518	251	8	in	in	ADP
cana-1518	251	9	this	this	DET
cana-1518	251	10	work	work	NOUN
cana-1518	251	11	establish	establish	VERB
cana-1518	251	12	an	an	DET
cana-1518	251	13	inclusive	inclusive	ADJ
cana-1518	251	14	structure	structure	NOUN
cana-1518	251	15	for	for	ADP
cana-1518	251	16	tracking	track	VERB
cana-1518	251	17	the	the	DET
cana-1518	251	18	intricate	intricate	ADJ
cana-1518	251	19	dynamics	dynamic	NOUN
cana-1518	251	20	of	of	ADP
cana-1518	251	21	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	251	22	boundary	boundary	ADJ
cana-1518	251	23	layer	layer	NOUN
cana-1518	251	24	flow	flow	NOUN
cana-1518	251	25	with	with	ADP
cana-1518	251	26	casson	casson	PROPN
cana-1518	251	27	nanoliquid	nanoliquid	PROPN
cana-1518	251	28	towards	towards	ADP
cana-1518	251	29	a	a	DET
cana-1518	251	30	stretching	stretch	VERB
cana-1518	251	31	sheet	sheet	NOUN
cana-1518	251	32	embedded	embed	VERB
cana-1518	251	33	within	within	ADP
cana-1518	251	34	porous	porous	ADJ
cana-1518	251	35	substratum	substratum	NOUN
cana-1518	251	36	.	.	PUNCT
cana-1518	252	1	the	the	DET
cana-1518	252	2	present	present	ADJ
cana-1518	252	3	mathematical	mathematical	ADJ
cana-1518	252	4	framework	framework	NOUN
cana-1518	252	5	considers	consider	VERB
cana-1518	252	6	the	the	DET
cana-1518	252	7	influence	influence	NOUN
cana-1518	252	8	of	of	ADP
cana-1518	252	9	various	various	ADJ
cana-1518	252	10	essential	essential	ADJ
cana-1518	252	11	physical	physical	ADJ
cana-1518	252	12	mechanisms	mechanism	NOUN
cana-1518	252	13	,	,	PUNCT
cana-1518	252	14	such	such	ADJ
cana-1518	252	15	as	as	ADP
cana-1518	252	16	viscous	viscous	ADJ
cana-1518	252	17	dissipation	dissipation	NOUN
cana-1518	252	18	(	(	PUNCT
cana-1518	252	19	due	due	ADP
cana-1518	252	20	to	to	ADP
cana-1518	252	21	conversion	conversion	NOUN
cana-1518	252	22	of	of	ADP
cana-1518	252	23	kinetic	kinetic	ADJ
cana-1518	252	24	energy	energy	NOUN
cana-1518	252	25	into	into	ADP
cana-1518	252	26	thermal	thermal	ADJ
cana-1518	252	27	form	form	NOUN
cana-1518	252	28	because	because	SCONJ
cana-1518	252	29	of	of	ADP
cana-1518	252	30	fluid	fluid	ADJ
cana-1518	252	31	viscosity	viscosity	NOUN
cana-1518	252	32	)	)	PUNCT
cana-1518	252	33	,	,	PUNCT
cana-1518	252	34	thermal	thermal	ADJ
cana-1518	252	35	radiation	radiation	NOUN
cana-1518	252	36	(	(	PUNCT
cana-1518	252	37	taking	take	VERB
cana-1518	252	38	in	in	ADP
cana-1518	252	39	account	account	NOUN
cana-1518	252	40	how	how	SCONJ
cana-1518	252	41	much	much	ADJ
cana-1518	252	42	heat	heat	NOUN
cana-1518	252	43	can	can	AUX
cana-1518	252	44	be	be	AUX
cana-1518	252	45	transferred	transfer	VERB
cana-1518	252	46	from	from	ADP
cana-1518	252	47	one	one	NUM
cana-1518	252	48	point	point	NOUN
cana-1518	252	49	to	to	ADP
cana-1518	252	50	another	another	PRON
cana-1518	252	51	based	base	VERB
cana-1518	252	52	on	on	ADP
cana-1518	252	53	electromagnetic	electromagnetic	ADJ
cana-1518	252	54	wave	wave	NOUN
cana-1518	252	55	emissions	emission	NOUN
cana-1518	252	56	)	)	PUNCT
cana-1518	252	57	,	,	PUNCT
cana-1518	252	58	brownian	brownian	ADJ
cana-1518	252	59	motion	motion	NOUN
cana-1518	252	60	(	(	PUNCT
cana-1518	252	61	because	because	SCONJ
cana-1518	252	62	nanoparticles	nanoparticle	NOUN
cana-1518	252	63	are	be	AUX
cana-1518	252	64	subjected	subject	VERB
cana-1518	252	65	by	by	ADP
cana-1518	252	66	random	random	ADJ
cana-1518	252	67	shocks	shock	NOUN
cana-1518	252	68	due	due	ADP
cana-1518	252	69	to	to	ADP
cana-1518	252	70	surrounding	surround	VERB
cana-1518	252	71	temperature	temperature	NOUN
cana-1518	252	72	)	)	PUNCT
cana-1518	252	73	and	and	CCONJ
cana-1518	252	74	thermophoresis(locates	thermophoresis(locate	NOUN
cana-1518	252	75	particle	particle	NOUN
cana-1518	252	76	movements	movement	NOUN
cana-1518	252	77	with	with	ADP
cana-1518	252	78	impact	impact	NOUN
cana-1518	252	79	upon	upon	SCONJ
cana-1518	252	80	a	a	DET
cana-1518	252	81	non	non	ADJ
cana-1518	252	82	-	-	ADJ
cana-1518	252	83	uniform	uniform	ADJ
cana-1518	252	84	high	high	ADJ
cana-1518	252	85	hot	hot	ADJ
cana-1518	252	86	zone	zone	NOUN
cana-1518	252	87	)	)	PUNCT
cana-1518	252	88	.	.	PUNCT
cana-1518	253	1	incorporating	incorporate	VERB
cana-1518	253	2	these	these	DET
cana-1518	253	3	various	various	ADJ
cana-1518	253	4	influences	influence	NOUN
cana-1518	253	5	,	,	PUNCT
cana-1518	253	6	this	this	DET
cana-1518	253	7	study	study	NOUN
cana-1518	253	8	investigates	investigate	VERB
cana-1518	253	9	the	the	DET
cana-1518	253	10	machine	machine	NOUN
cana-1518	253	11	-	-	PUNCT
cana-1518	253	12	air	air	NOUN
cana-1518	253	13	-	-	PUNCT
cana-1518	253	14	interface	interface	NOUN
cana-1518	253	15	layer	layer	NOUN
cana-1518	253	16	interactions	interaction	NOUN
cana-1518	253	17	in	in	ADP
cana-1518	253	18	details	detail	NOUN
cana-1518	253	19	,	,	PUNCT
cana-1518	253	20	thus	thus	ADV
cana-1518	253	21	providing	provide	VERB
cana-1518	253	22	a	a	DET
cana-1518	253	23	more	more	ADV
cana-1518	253	24	realistic	realistic	ADJ
cana-1518	253	25	and	and	CCONJ
cana-1518	253	26	systemic	systemic	ADJ
cana-1518	253	27	understanding	understanding	NOUN
cana-1518	253	28	of	of	ADP
cana-1518	253	29	fluid	fluid	ADJ
cana-1518	253	30	flow	flow	NOUN
cana-1518	253	31	&	&	CCONJ
cana-1518	253	32	heat	heat	NOUN
cana-1518	253	33	transfer	transfer	NOUN
cana-1518	253	34	processes	process	NOUN
cana-1518	253	35	across	across	ADP
cana-1518	253	36	bl	bl	INTJ
cana-1518	253	37	.	.	PUNCT
cana-1518	254	1	this	this	PRON
cana-1518	254	2	will	will	AUX
cana-1518	254	3	in	in	ADP
cana-1518	254	4	particular	particular	ADJ
cana-1518	254	5	lead	lead	NOUN
cana-1518	254	6	to	to	ADP
cana-1518	254	7	numerical	numerical	ADJ
cana-1518	254	8	results	result	NOUN
cana-1518	254	9	that	that	PRON
cana-1518	254	10	can	can	AUX
cana-1518	254	11	be	be	AUX
cana-1518	254	12	of	of	ADP
cana-1518	254	13	great	great	ADJ
cana-1518	254	14	value	value	NOUN
cana-1518	254	15	for	for	ADP
cana-1518	254	16	the	the	DET
cana-1518	254	17	further	further	ADJ
cana-1518	254	18	process	process	NOUN
cana-1518	254	19	of	of	ADP
cana-1518	254	20	optimization	optimization	NOUN
cana-1518	254	21	and	and	CCONJ
cana-1518	254	22	generation	generation	NOUN
cana-1518	254	23	of	of	ADP
cana-1518	254	24	engineering	engineering	NOUN
cana-1518	254	25	decisions	decision	NOUN
cana-1518	254	26	.	.	PUNCT
cana-1518	255	1	this	this	DET
cana-1518	255	2	information	information	NOUN
cana-1518	255	3	is	be	AUX
cana-1518	255	4	invaluable	invaluable	ADJ
cana-1518	255	5	for	for	ADP
cana-1518	255	6	applications	application	NOUN
cana-1518	255	7	requiring	require	VERB
cana-1518	255	8	exquisite	exquisite	ADJ
cana-1518	255	9	manipulation	manipulation	NOUN
cana-1518	255	10	of	of	ADP
cana-1518	255	11	both	both	DET
cana-1518	255	12	fluid	fluid	ADJ
cana-1518	255	13	flow	flow	NOUN
cana-1518	255	14	and	and	CCONJ
cana-1518	255	15	thermal	thermal	ADJ
cana-1518	255	16	properties	property	NOUN
cana-1518	255	17	,	,	PUNCT
cana-1518	255	18	including	include	VERB
cana-1518	255	19	advanced	advanced	ADJ
cana-1518	255	20	cooling	cool	VERB
cana-1518	255	21	technologies	technology	NOUN
cana-1518	255	22	,	,	PUNCT
cana-1518	255	23	high	high	ADJ
cana-1518	255	24	-	-	PUNCT
cana-1518	255	25	performance	performance	NOUN
cana-1518	255	26	coatings	coating	NOUN
cana-1518	255	27	or	or	CCONJ
cana-1518	255	28	materials	material	NOUN
cana-1518	255	29	processing	processing	NOUN
cana-1518	255	30	.	.	PUNCT
cana-1518	256	1	this	this	PRON
cana-1518	256	2	eases	ease	VERB
cana-1518	256	3	the	the	DET
cana-1518	256	4	task	task	NOUN
cana-1518	256	5	of	of	ADP
cana-1518	256	6	engineers	engineer	NOUN
cana-1518	256	7	developing	develop	VERB
cana-1518	256	8	systems	system	NOUN
cana-1518	256	9	to	to	PART
cana-1518	256	10	optimize	optimize	VERB
cana-1518	256	11	efficiency	efficiency	NOUN
cana-1518	256	12	and	and	CCONJ
cana-1518	256	13	minimize	minimize	VERB
cana-1518	256	14	energy	energy	NOUN
cana-1518	256	15	losses	loss	NOUN
cana-1518	256	16	,	,	PUNCT
cana-1518	256	17	as	as	ADV
cana-1518	256	18	well	well	ADV
cana-1518	256	19	ensuring	ensure	VERB
cana-1518	256	20	that	that	SCONJ
cana-1518	256	21	heat	heat	NOUN
cana-1518	256	22	and	and	CCONJ
cana-1518	256	23	mass	mass	NOUN
cana-1518	256	24	transfer	transfer	NOUN
cana-1518	256	25	responses	response	NOUN
cana-1518	256	26	can	can	AUX
cana-1518	256	27	be	be	AUX
cana-1518	256	28	successfully	successfully	ADV
cana-1518	256	29	achieved	achieve	VERB
cana-1518	256	30	under	under	ADP
cana-1518	256	31	normal	normal	ADJ
cana-1518	256	32	operating	operating	NOUN
cana-1518	256	33	conditions	condition	NOUN
cana-1518	256	34	(	(	PUNCT
cana-1518	256	35	with	with	ADP
cana-1518	256	36	or	or	CCONJ
cana-1518	256	37	without	without	ADP
cana-1518	256	38	magnetic	magnetic	ADJ
cana-1518	256	39	fields	field	NOUN
cana-1518	256	40	;	;	PUNCT
cana-1518	256	41	with	with	ADP
cana-1518	256	42	/without	/without	NOUN
cana-1518	256	43	porosity	porosity	NOUN
cana-1518	256	44	)	)	PUNCT
cana-1518	256	45	.	.	PUNCT
cana-1518	257	1	it	it	PRON
cana-1518	257	2	highlights	highlight	VERB
cana-1518	257	3	the	the	DET
cana-1518	257	4	significance	significance	NOUN
cana-1518	257	5	of	of	ADP
cana-1518	257	6	examining	examine	VERB
cana-1518	257	7	multiple	multiple	ADJ
cana-1518	257	8	physical	physical	ADJ
cana-1518	257	9	phenomena	phenomenon	NOUN
cana-1518	257	10	simultaneously	simultaneously	ADV
cana-1518	257	11	during	during	ADP
cana-1518	257	12	detailed	detailed	ADJ
cana-1518	257	13	investigations	investigation	NOUN
cana-1518	257	14	on	on	ADP
cana-1518	257	15	nanofluids	nanofluid	NOUN
cana-1518	257	16	,	,	PUNCT
cana-1518	257	17	especially	especially	ADV
cana-1518	257	18	in	in	ADP
cana-1518	257	19	real	real	ADJ
cana-1518	257	20	-	-	PUNCT
cana-1518	257	21	world	world	NOUN
cana-1518	257	22	situations	situation	NOUN
cana-1518	257	23	,	,	PUNCT
cana-1518	257	24	and	and	CCONJ
cana-1518	257	25	shows	show	VERB
cana-1518	257	26	that	that	SCONJ
cana-1518	257	27	by	by	ADP
cana-1518	257	28	taking	take	VERB
cana-1518	257	29	such	such	ADJ
cana-1518	257	30	interplays	interplay	NOUN
cana-1518	257	31	into	into	ADP
cana-1518	257	32	account	account	NOUN
cana-1518	257	33	one	one	PRON
cana-1518	257	34	could	could	AUX
cana-1518	257	35	achieve	achieve	VERB
cana-1518	257	36	superior	superior	ADJ
cana-1518	257	37	performance	performance	NOUN
cana-1518	257	38	for	for	ADP
cana-1518	257	39	potential	potential	ADJ
cana-1518	257	40	engineering	engineering	NOUN
cana-1518	257	41	applications	application	NOUN
cana-1518	257	42	.	.	PUNCT
cana-1518	258	1	communications	communication	NOUN
cana-1518	258	2	on	on	ADP
cana-1518	258	3	applied	apply	VERB
cana-1518	258	4	nonlinear	nonlinear	ADJ
cana-1518	258	5	analysis	analysis	NOUN
cana-1518	258	6	issn	issn	NOUN
cana-1518	258	7	:	:	PUNCT
cana-1518	258	8	1074	1074	NUM
cana-1518	258	9	-	-	PUNCT
cana-1518	258	10	133x	133x	NUM
cana-1518	258	11	vol	vol	NOUN
cana-1518	258	12	31	31	NUM
cana-1518	258	13	no	no	NOUN
cana-1518	258	14	.	.	PUNCT
cana-1518	259	1	8s	8s	PROPN
cana-1518	259	2	(	(	PUNCT
cana-1518	259	3	2024	2024	NUM
cana-1518	259	4	)	)	PUNCT
cana-1518	259	5	389	389	NUM
cana-1518	259	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	259	7	5	5	X
cana-1518	259	8	.	.	NOUN
cana-1518	259	9	results	result	NOUN
cana-1518	259	10	and	and	CCONJ
cana-1518	259	11	discussion	discussion	NOUN
cana-1518	259	12	the	the	DET
cana-1518	259	13	numerical	numerical	ADJ
cana-1518	259	14	simulations	simulation	NOUN
cana-1518	259	15	are	be	AUX
cana-1518	259	16	used	use	VERB
cana-1518	259	17	to	to	PART
cana-1518	259	18	describe	describe	VERB
cana-1518	259	19	the	the	DET
cana-1518	259	20	impact	impact	NOUN
cana-1518	259	21	of	of	ADP
cana-1518	259	22	a	a	DET
cana-1518	259	23	magnetic	magnetic	ADJ
cana-1518	259	24	field	field	NOUN
cana-1518	259	25	,	,	PUNCT
cana-1518	259	26	viscous	viscous	ADJ
cana-1518	259	27	dissipation	dissipation	NOUN
cana-1518	259	28	and	and	CCONJ
cana-1518	259	29	thermal	thermal	ADJ
cana-1518	259	30	radiation	radiation	NOUN
cana-1518	259	31	on	on	ADP
cana-1518	259	32	casson	casson	PROPN
cana-1518	259	33	nanofluid	nanofluid	PROPN
cana-1518	259	34	flow	flow	NOUN
cana-1518	259	35	over	over	ADP
cana-1518	259	36	a	a	DET
cana-1518	259	37	stretching	stretch	VERB
cana-1518	259	38	sheet	sheet	NOUN
cana-1518	259	39	.	.	PUNCT
cana-1518	260	1	the	the	DET
cana-1518	260	2	casson	casson	PROPN
cana-1518	260	3	parameter	parameter	PROPN
cana-1518	260	4	lowers	lower	VERB
cana-1518	260	5	the	the	DET
cana-1518	260	6	local	local	ADJ
cana-1518	260	7	wall	wall	NOUN
cana-1518	260	8	shear	shear	PROPN
cana-1518	260	9	stress	stress	NOUN
cana-1518	260	10	while	while	SCONJ
cana-1518	260	11	increasing	increase	VERB
cana-1518	260	12	skin	skin	NOUN
cana-1518	260	13	friction	friction	NOUN
cana-1518	260	14	coefficient	coefficient	NOUN
cana-1518	260	15	with	with	ADP
cana-1518	260	16	magnetic	magnetic	ADJ
cana-1518	260	17	field	field	NOUN
cana-1518	260	18	that	that	PRON
cana-1518	260	19	of	of	ADP
cana-1518	260	20	course	course	NOUN
cana-1518	260	21	is	be	AUX
cana-1518	260	22	due	due	ADJ
cana-1518	260	23	to	to	ADP
cana-1518	260	24	an	an	DET
cana-1518	260	25	opposing	opposing	ADJ
cana-1518	260	26	lorentz	lorentz	PROPN
cana-1518	260	27	force	force	NOUN
cana-1518	260	28	.	.	PUNCT
cana-1518	261	1	there	there	PRON
cana-1518	261	2	is	be	VERB
cana-1518	261	3	more	more	ADV
cana-1518	261	4	efficient	efficient	ADJ
cana-1518	261	5	thermal	thermal	ADJ
cana-1518	261	6	conductivity	conductivity	NOUN
cana-1518	261	7	under	under	ADP
cana-1518	261	8	the	the	DET
cana-1518	261	9	prandtl	prandtl	NOUN
cana-1518	261	10	number	number	NOUN
cana-1518	261	11	which	which	PRON
cana-1518	261	12	increases	increase	VERB
cana-1518	261	13	nusselt	nusselt	NOUN
cana-1518	261	14	transfer	transfer	NOUN
cana-1518	261	15	coefficient	coefficient	NOUN
cana-1518	261	16	,	,	PUNCT
cana-1518	261	17	but	but	CCONJ
cana-1518	261	18	viscous	viscous	ADJ
cana-1518	261	19	dissipation	dissipation	NOUN
cana-1518	261	20	absorbs	absorb	VERB
cana-1518	261	21	part	part	NOUN
cana-1518	261	22	of	of	ADP
cana-1518	261	23	kinetic	kinetic	ADJ
cana-1518	261	24	energy	energy	NOUN
cana-1518	261	25	and	and	CCONJ
cana-1518	261	26	diverts	divert	VERB
cana-1518	261	27	it	it	PRON
cana-1518	261	28	into	into	ADP
cana-1518	261	29	internal	internal	ADJ
cana-1518	261	30	heat	heat	NOUN
cana-1518	261	31	that	that	PRON
cana-1518	261	32	decreases	decrease	VERB
cana-1518	261	33	nusseult	nusseult	NOUN
cana-1518	261	34	.	.	PUNCT
cana-1518	262	1	finally	finally	ADV
cana-1518	262	2	,	,	PUNCT
cana-1518	262	3	by	by	ADP
cana-1518	262	4	taking	take	VERB
cana-1518	262	5	into	into	ADP
cana-1518	262	6	consideration	consideration	NOUN
cana-1518	262	7	the	the	DET
cana-1518	262	8	brownian	brownian	ADJ
cana-1518	262	9	motion	motion	NOUN
cana-1518	262	10	and	and	CCONJ
cana-1518	262	11	thermophoresis	thermophoresis	NOUN
cana-1518	262	12	parameters	parameter	NOUN
cana-1518	262	13	as	as	ADV
cana-1518	262	14	well	well	ADV
cana-1518	262	15	,	,	PUNCT
cana-1518	262	16	we	we	PRON
cana-1518	262	17	increase	increase	VERB
cana-1518	262	18	sherwood	sherwood	PROPN
cana-1518	262	19	number	number	NOUN
cana-1518	262	20	(	(	PUNCT
cana-1518	262	21	related	relate	VERB
cana-1518	262	22	to	to	ADP
cana-1518	262	23	mass	mass	ADJ
cana-1518	262	24	transfer	transfer	NOUN
cana-1518	262	25	)	)	PUNCT
cana-1518	262	26	and	and	CCONJ
cana-1518	262	27	subsequently	subsequently	ADV
cana-1518	262	28	improving	improve	VERB
cana-1518	262	29	nanoparticle	nanoparticle	NOUN
cana-1518	262	30	diffusion	diffusion	NOUN
cana-1518	262	31	away	away	ADV
cana-1518	262	32	from	from	ADP
cana-1518	262	33	the	the	DET
cana-1518	262	34	surface	surface	NOUN
cana-1518	262	35	.	.	PUNCT
cana-1518	263	1	these	these	DET
cana-1518	263	2	results	result	NOUN
cana-1518	263	3	are	be	AUX
cana-1518	263	4	important	important	ADJ
cana-1518	263	5	since	since	SCONJ
cana-1518	263	6	fluid	fluid	ADJ
cana-1518	263	7	dynamics	dynamic	NOUN
cana-1518	263	8	,	,	PUNCT
cana-1518	263	9	heat	heat	NOUN
cana-1518	263	10	and	and	CCONJ
cana-1518	263	11	mass	mass	NOUN
cana-1518	263	12	transfer	transfer	NOUN
cana-1518	263	13	can	can	AUX
cana-1518	263	14	e.g.	e.g.	ADV
cana-1518	263	15	be	be	AUX
cana-1518	263	16	controlled	control	VERB
cana-1518	263	17	in	in	ADP
cana-1518	263	18	processes	process	NOUN
cana-1518	263	19	like	like	ADP
cana-1518	263	20	cooling	cool	VERB
cana-1518	263	21	or	or	CCONJ
cana-1518	263	22	material	material	NOUN
cana-1518	263	23	processing	processing	NOUN
cana-1518	263	24	efforts	effort	NOUN
cana-1518	263	25	to	to	PART
cana-1518	263	26	optimize	optimize	VERB
cana-1518	263	27	the	the	DET
cana-1518	263	28	operations	operation	NOUN
cana-1518	263	29	on	on	ADP
cana-1518	263	30	these	these	DET
cana-1518	263	31	scales	scale	NOUN
cana-1518	263	32	.	.	PUNCT
cana-1518	264	1	skin	skin	NOUN
cana-1518	264	2	friction	friction	NOUN
cana-1518	264	3	coefficient	coefficient	VERB
cana-1518	264	4	the	the	DET
cana-1518	264	5	skin	skin	NOUN
cana-1518	264	6	friction	friction	NOUN
cana-1518	264	7	coefficient	coefficient	NOUN
cana-1518	264	8	,	,	PUNCT
cana-1518	264	9	𝐶𝑓	𝐶𝑓	PROPN
cana-1518	264	10	is	be	AUX
cana-1518	264	11	a	a	DET
cana-1518	264	12	significant	significant	ADJ
cana-1518	264	13	parameter	parameter	NOUN
cana-1518	264	14	for	for	ADP
cana-1518	264	15	the	the	DET
cana-1518	264	16	viscous	viscous	ADJ
cana-1518	264	17	effect	effect	NOUN
cana-1518	264	18	present	present	ADJ
cana-1518	264	19	within	within	ADP
cana-1518	264	20	boundary	boundary	ADJ
cana-1518	264	21	layer	layer	NOUN
cana-1518	264	22	and	and	CCONJ
cana-1518	264	23	its	its	PRON
cana-1518	264	24	changes	change	NOUN
cana-1518	264	25	has	have	VERB
cana-1518	264	26	major	major	ADJ
cana-1518	264	27	effects	effect	NOUN
cana-1518	264	28	by	by	ADP
cana-1518	264	29	the	the	DET
cana-1518	264	30	magnetic	magnetic	ADJ
cana-1518	264	31	parameter	parameter	PROPN
cana-1518	264	32	m	m	PROPN
cana-1518	264	33	&	&	CCONJ
cana-1518	264	34	casson	casson	PROPN
cana-1518	264	35	parameter	parameter	PROPN
cana-1518	264	36	\beta	\beta	PROPN
cana-1518	264	37	.	.	PUNCT
cana-1518	265	1	it	it	PRON
cana-1518	265	2	can	can	AUX
cana-1518	265	3	be	be	AUX
cana-1518	265	4	seen	see	VERB
cana-1518	265	5	from	from	ADP
cana-1518	265	6	table	table	NOUN
cana-1518	265	7	1	1	NUM
cana-1518	265	8	that	that	SCONJ
cana-1518	265	9	an	an	DET
cana-1518	265	10	increase	increase	NOUN
cana-1518	265	11	in	in	ADP
cana-1518	265	12	the	the	DET
cana-1518	265	13	magnetic	magnetic	ADJ
cana-1518	265	14	parameter	parameter	NOUN
cana-1518	265	15	(	(	PUNCT
cana-1518	265	16	m	m	PROPN
cana-1518	265	17	)	)	PUNCT
cana-1518	265	18	leads	lead	VERB
cana-1518	265	19	to	to	ADP
cana-1518	265	20	a	a	DET
cana-1518	265	21	larger	large	ADJ
cana-1518	265	22	skin	skin	NOUN
cana-1518	265	23	friction	friction	NOUN
cana-1518	265	24	coefficient	coefficient	NOUN
cana-1518	265	25	due	due	ADP
cana-1518	265	26	to	to	ADP
cana-1518	265	27	lorentz	lorentz	PROPN
cana-1518	265	28	force	force	NOUN
cana-1518	265	29	aiding	aid	VERB
cana-1518	265	30	fluid	fluid	ADJ
cana-1518	265	31	motion	motion	NOUN
cana-1518	265	32	and	and	CCONJ
cana-1518	265	33	opposing	oppose	VERB
cana-1518	265	34	it	it	PRON
cana-1518	265	35	.	.	PUNCT
cana-1518	266	1	on	on	ADP
cana-1518	266	2	the	the	DET
cana-1518	266	3	other	other	ADJ
cana-1518	266	4	hand	hand	NOUN
cana-1518	266	5	,	,	PUNCT
cana-1518	266	6	casson	casson	PROPN
cana-1518	266	7	parameter	parameter	PROPN
cana-1518	266	8	(	(	PUNCT
cana-1518	266	9	β	β	PROPN
cana-1518	266	10	)	)	PUNCT
cana-1518	266	11	,	,	PUNCT
cana-1518	266	12	which	which	PRON
cana-1518	266	13	is	be	AUX
cana-1518	266	14	a	a	DET
cana-1518	266	15	key	key	ADJ
cana-1518	266	16	factor	factor	NOUN
cana-1518	266	17	describing	describe	VERB
cana-1518	266	18	non	non	ADJ
cana-1518	266	19	-	-	ADJ
cana-1518	266	20	newtonian	newtonian	ADJ
cana-1518	266	21	behavior	behavior	NOUN
cana-1518	266	22	of	of	ADP
cana-1518	266	23	the	the	DET
cana-1518	266	24	fluid	fluid	NOUN
cana-1518	266	25	tends	tend	VERB
cana-1518	266	26	to	to	PART
cana-1518	266	27	reduce	reduce	VERB
cana-1518	266	28	skin	skin	NOUN
cana-1518	266	29	friction	friction	NOUN
cana-1518	266	30	coefficient	coefficient	NOUN
cana-1518	266	31	as	as	ADP
cana-1518	266	32	its	its	PRON
cana-1518	266	33	value	value	NOUN
cana-1518	266	34	higher	high	ADJ
cana-1518	266	35	namely	namely	ADV
cana-1518	266	36	fig	fig	NOUN
cana-1518	266	37	.	.	PUNCT
cana-1518	267	1	this	this	PRON
cana-1518	267	2	means	mean	VERB
cana-1518	267	3	that	that	SCONJ
cana-1518	267	4	high	high	ADJ
cana-1518	267	5	yield	yield	NOUN
cana-1518	267	6	stress	stress	NOUN
cana-1518	267	7	fluids	fluid	NOUN
cana-1518	267	8	exhibit	exhibit	VERB
cana-1518	267	9	less	less	ADJ
cana-1518	267	10	resistance	resistance	NOUN
cana-1518	267	11	to	to	PART
cana-1518	267	12	flow	flow	VERB
cana-1518	267	13	inside	inside	ADP
cana-1518	267	14	the	the	DET
cana-1518	267	15	boundary	boundary	ADJ
cana-1518	267	16	layer	layer	NOUN
cana-1518	267	17	,	,	PUNCT
cana-1518	267	18	and	and	CCONJ
cana-1518	267	19	thus	thus	ADV
cana-1518	267	20	they	they	PRON
cana-1518	267	21	cause	cause	VERB
cana-1518	267	22	lower	low	ADJ
cana-1518	267	23	drag	drag	NOUN
cana-1518	267	24	forces	force	NOUN
cana-1518	267	25	at	at	ADP
cana-1518	267	26	surface	surface	NOUN
cana-1518	267	27	.	.	PUNCT
cana-1518	268	1	these	these	DET
cana-1518	268	2	trends	trend	NOUN
cana-1518	268	3	provide	provide	VERB
cana-1518	268	4	a	a	DET
cana-1518	268	5	fundamental	fundamental	ADJ
cana-1518	268	6	understanding	understanding	NOUN
cana-1518	268	7	of	of	ADP
cana-1518	268	8	how	how	SCONJ
cana-1518	268	9	the	the	DET
cana-1518	268	10	combined	combine	VERB
cana-1518	268	11	influences	influence	NOUN
cana-1518	268	12	magnetic	magnetic	ADJ
cana-1518	268	13	fields	field	NOUN
cana-1518	268	14	and	and	CCONJ
cana-1518	268	15	fluid	fluid	ADJ
cana-1518	268	16	rheology	rheology	NOUN
cana-1518	268	17	influence	influence	NOUN
cana-1518	268	18	flow	flow	NOUN
cana-1518	268	19	resistance	resistance	NOUN
cana-1518	268	20	which	which	PRON
cana-1518	268	21	is	be	AUX
cana-1518	268	22	vital	vital	ADJ
cana-1518	268	23	,	,	PUNCT
cana-1518	268	24	as	as	SCONJ
cana-1518	268	25	it	it	PRON
cana-1518	268	26	directly	directly	ADV
cana-1518	268	27	informs	inform	VERB
cana-1518	268	28	on	on	ADP
cana-1518	268	29	efficient	efficient	ADJ
cana-1518	268	30	optimizations	optimization	NOUN
cana-1518	268	31	when	when	SCONJ
cana-1518	268	32	deploying	deploy	VERB
cana-1518	268	33	these	these	DET
cana-1518	268	34	effects	effect	NOUN
cana-1518	268	35	in	in	ADP
cana-1518	268	36	engineering	engineering	NOUN
cana-1518	268	37	practice	practice	NOUN
cana-1518	268	38	.	.	PUNCT
cana-1518	269	1	magnetic	magnetic	ADJ
cana-1518	269	2	parameter	parameter	NOUN
cana-1518	269	3	(	(	PUNCT
cana-1518	269	4	m	m	NOUN
cana-1518	269	5	)	)	PUNCT
cana-1518	269	6	casson	casson	PROPN
cana-1518	269	7	parameter	parameter	NOUN
cana-1518	269	8	(	(	PUNCT
cana-1518	269	9	β	β	NOUN
cana-1518	269	10	)	)	PUNCT
cana-1518	269	11	skin	skin	NOUN
cana-1518	269	12	friction	friction	NOUN
cana-1518	269	13	coefficient	coefficient	NOUN
cana-1518	269	14	(	(	PUNCT
cana-1518	269	15	cf	cf	NOUN
cana-1518	269	16	)	)	PUNCT
cana-1518	269	17	0.145	0.145	NUM
cana-1518	269	18	0.265	0.265	NUM
cana-1518	269	19	0.025	0.025	NUM
cana-1518	269	20	0.575	0.575	NUM
cana-1518	269	21	0.423	0.423	NUM
cana-1518	269	22	0.028	0.028	NUM
cana-1518	269	23	1.835	1.835	NUM
cana-1518	269	24	0.645	0.645	NUM
cana-1518	269	25	0.032	0.032	NUM
cana-1518	269	26	1.578	1.578	NUM
cana-1518	269	27	0.821	0.821	NUM
cana-1518	269	28	0.036	0.036	NUM
cana-1518	269	29	2.873	2.873	NUM
cana-1518	269	30	1.078	1.078	NUM
cana-1518	269	31	0.040	0.040	NUM
cana-1518	269	32	table	table	NOUN
cana-1518	269	33	1	1	NUM
cana-1518	269	34	:	:	PUNCT
cana-1518	269	35	skin	skin	NOUN
cana-1518	269	36	friction	friction	NOUN
cana-1518	269	37	coefficient	coefficient	NOUN
cana-1518	269	38	under	under	ADP
cana-1518	269	39	various	various	ADJ
cana-1518	269	40	conditions	condition	NOUN
cana-1518	269	41	from	from	ADP
cana-1518	269	42	table	table	NOUN
cana-1518	269	43	1	1	NUM
cana-1518	269	44	,	,	PUNCT
cana-1518	269	45	an	an	DET
cana-1518	269	46	increase	increase	NOUN
cana-1518	269	47	in	in	ADP
cana-1518	269	48	the	the	DET
cana-1518	269	49	magnetic	magnetic	ADJ
cana-1518	269	50	parameter	parameter	NOUN
cana-1518	269	51	(	(	PUNCT
cana-1518	269	52	m	m	PROPN
cana-1518	269	53	)	)	PUNCT
cana-1518	269	54	causes	cause	VERB
cana-1518	269	55	a	a	DET
cana-1518	269	56	growth	growth	NOUN
cana-1518	269	57	of	of	ADP
cana-1518	269	58	skin	skin	NOUN
cana-1518	269	59	friction	friction	NOUN
cana-1518	269	60	coefficient	coefficient	NOUN
cana-1518	269	61	(	(	PUNCT
cana-1518	269	62	cf	cf	NOUN
cana-1518	269	63	)	)	PUNCT
cana-1518	269	64	,	,	PUNCT
cana-1518	269	65	significantly	significantly	ADV
cana-1518	269	66	.	.	PUNCT
cana-1518	270	1	if	if	SCONJ
cana-1518	270	2	a	a	DET
cana-1518	270	3	magnetic	magnetic	ADJ
cana-1518	270	4	field	field	NOUN
cana-1518	270	5	is	be	AUX
cana-1518	270	6	applied	apply	VERB
cana-1518	270	7	this	this	PRON
cana-1518	270	8	will	will	AUX
cana-1518	270	9	generate	generate	VERB
cana-1518	270	10	the	the	DET
cana-1518	270	11	lorentz	lorentz	PROPN
cana-1518	270	12	force	force	NOUN
cana-1518	270	13	which	which	PRON
cana-1518	270	14	acts	act	VERB
cana-1518	270	15	against	against	ADP
cana-1518	270	16	fluid	fluid	ADJ
cana-1518	270	17	motion	motion	NOUN
cana-1518	270	18	and	and	CCONJ
cana-1518	270	19	thus	thus	ADV
cana-1518	270	20	enhancing	enhance	VERB
cana-1518	270	21	viscous	viscous	ADJ
cana-1518	270	22	effects	effect	NOUN
cana-1518	270	23	within	within	ADP
cana-1518	270	24	boundary	boundary	ADJ
cana-1518	270	25	layer	layer	NOUN
cana-1518	270	26	.	.	PUNCT
cana-1518	271	1	in	in	ADP
cana-1518	271	2	the	the	DET
cana-1518	271	3	same	same	ADJ
cana-1518	271	4	way	way	NOUN
cana-1518	271	5	,	,	PUNCT
cana-1518	271	6	as	as	SCONJ
cana-1518	271	7	casson	casson	PROPN
cana-1518	271	8	parameter	parameter	PROPN
cana-1518	271	9	(	(	PUNCT
cana-1518	271	10	\beta	\beta	PROPN
cana-1518	271	11	)	)	PUNCT
cana-1518	271	12	increases	increase	VERB
cana-1518	271	13	showing	show	VERB
cana-1518	271	14	decrease	decrease	NOUN
cana-1518	271	15	in	in	ADP
cana-1518	271	16	yield	yield	NOUN
cana-1518	271	17	stress	stress	NOUN
cana-1518	271	18	,	,	PUNCT
cana-1518	271	19	skin	skin	NOUN
cana-1518	271	20	friction	friction	NOUN
cana-1518	271	21	coefficient	coefficient	NOUN
cana-1518	271	22	also	also	ADV
cana-1518	271	23	gets	get	AUX
cana-1518	271	24	increased	increase	VERB
cana-1518	271	25	.	.	PUNCT
cana-1518	272	1	this	this	PRON
cana-1518	272	2	is	be	AUX
cana-1518	272	3	since	since	SCONJ
cana-1518	272	4	,	,	PUNCT
cana-1518	272	5	with	with	ADP
cana-1518	272	6	increasing	increase	VERB
cana-1518	272	7	(	(	PUNCT
cana-1518	272	8	\beta	\beta	PROPN
cana-1518	272	9	)	)	PUNCT
cana-1518	272	10	,	,	PUNCT
cana-1518	272	11	the	the	DET
cana-1518	272	12	fluid	fluid	ADJ
cana-1518	272	13	approaches	approach	NOUN
cana-1518	272	14	to	to	ADP
cana-1518	272	15	newtonian	newtonian	ADJ
cana-1518	272	16	behavior	behavior	NOUN
cana-1518	272	17	which	which	PRON
cana-1518	272	18	shows	show	VERB
cana-1518	272	19	lower	low	ADJ
cana-1518	272	20	resistance	resistance	NOUN
cana-1518	272	21	towards	towards	ADP
cana-1518	272	22	flow	flow	NOUN
cana-1518	272	23	and	and	CCONJ
cana-1518	272	24	subsequent	subsequent	ADJ
cana-1518	272	25	increased	increase	VERB
cana-1518	272	26	frictional	frictional	ADJ
cana-1518	272	27	forces	force	NOUN
cana-1518	272	28	on	on	ADP
cana-1518	272	29	the	the	DET
cana-1518	272	30	surface	surface	NOUN
cana-1518	272	31	.	.	PUNCT
cana-1518	273	1	these	these	DET
cana-1518	273	2	observations	observation	NOUN
cana-1518	273	3	emphasize	emphasize	VERB
cana-1518	273	4	how	how	SCONJ
cana-1518	273	5	tuning	tuning	NOUN
cana-1518	273	6	of	of	ADP
cana-1518	273	7	magnetic	magnetic	ADJ
cana-1518	273	8	forces	force	NOUN
cana-1518	273	9	and	and	CCONJ
cana-1518	273	10	fluid	fluid	ADJ
cana-1518	273	11	rheology	rheology	NOUN
cana-1518	273	12	together	together	ADV
cana-1518	273	13	control	control	VERB
cana-1518	273	14	the	the	DET
cana-1518	273	15	resistance	resistance	NOUN
cana-1518	273	16	faced	face	VERB
cana-1518	273	17	by	by	ADP
cana-1518	273	18	non	non	ADJ
cana-1518	273	19	-	-	ADJ
cana-1518	273	20	newtonian	newtonian	ADJ
cana-1518	273	21	fluids	fluid	NOUN
cana-1518	273	22	in	in	ADP
cana-1518	273	23	presence	presence	NOUN
cana-1518	273	24	of	of	ADP
cana-1518	273	25	magnetic	magnetic	ADJ
cana-1518	273	26	fields	field	NOUN
cana-1518	273	27	,	,	PUNCT
cana-1518	273	28	which	which	PRON
cana-1518	273	29	is	be	AUX
cana-1518	273	30	important	important	ADJ
cana-1518	273	31	for	for	ADP
cana-1518	273	32	applications	application	NOUN
cana-1518	273	33	utilizing	utilize	VERB
cana-1518	273	34	such	such	ADJ
cana-1518	273	35	flows	flow	NOUN
cana-1518	273	36	.	.	PUNCT
cana-1518	274	1	communications	communication	NOUN
cana-1518	274	2	on	on	ADP
cana-1518	274	3	applied	apply	VERB
cana-1518	274	4	nonlinear	nonlinear	ADJ
cana-1518	274	5	analysis	analysis	NOUN
cana-1518	274	6	issn	issn	NOUN
cana-1518	274	7	:	:	PUNCT
cana-1518	274	8	1074	1074	NUM
cana-1518	274	9	-	-	PUNCT
cana-1518	274	10	133x	133x	NUM
cana-1518	274	11	vol	vol	NOUN
cana-1518	274	12	31	31	NUM
cana-1518	274	13	no	no	NOUN
cana-1518	274	14	.	.	PUNCT
cana-1518	275	1	8s	8s	PROPN
cana-1518	275	2	(	(	PUNCT
cana-1518	275	3	2024	2024	NUM
cana-1518	275	4	)	)	PUNCT
cana-1518	275	5	390	390	NUM
cana-1518	275	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	275	7	nusselt	nusselt	PROPN
cana-1518	275	8	and	and	CCONJ
cana-1518	275	9	sherwood	sherwood	PROPN
cana-1518	275	10	numbers	number	NOUN
cana-1518	275	11	nusselt	nusselt	VERB
cana-1518	275	12	number	number	NOUN
cana-1518	275	13	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	275	14	non	non	ADJ
cana-1518	275	15	-	-	ADJ
cana-1518	275	16	dimensional	dimensional	ADJ
cana-1518	275	17	heat	heat	NOUN
cana-1518	275	18	transfer	transfer	NOUN
cana-1518	275	19	rate	rate	NOUN
cana-1518	275	20	sherwood	sherwood	PROPN
cana-1518	275	21	number	number	PROPN
cana-1518	275	22	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	275	23	non	non	ADJ
cana-1518	275	24	-	-	ADJ
cana-1518	275	25	dimensional	dimensional	ADJ
cana-1518	275	26	mass	mass	NOUN
cana-1518	275	27	transfer	transfer	NOUN
cana-1518	275	28	rate	rate	NOUN
cana-1518	275	29	are	be	AUX
cana-1518	275	30	the	the	DET
cana-1518	275	31	important	important	ADJ
cana-1518	275	32	elements	element	NOUN
cana-1518	275	33	in	in	ADP
cana-1518	275	34	thermal	thermal	ADJ
cana-1518	275	35	and	and	CCONJ
cana-1518	275	36	mass	mass	ADJ
cana-1518	275	37	diffusion	diffusion	NOUN
cana-1518	275	38	phenomena	phenomenon	NOUN
cana-1518	275	39	present	present	ADJ
cana-1518	275	40	within	within	ADP
cana-1518	275	41	the	the	DET
cana-1518	275	42	flow	flow	NOUN
cana-1518	275	43	.	.	PUNCT
cana-1518	276	1	these	these	DET
cana-1518	276	2	parameters	parameter	NOUN
cana-1518	276	3	give	give	VERB
cana-1518	276	4	insights	insight	NOUN
cana-1518	276	5	on	on	ADP
cana-1518	276	6	how	how	SCONJ
cana-1518	276	7	well	well	ADV
cana-1518	276	8	heat	heat	NOUN
cana-1518	276	9	and	and	CCONJ
cana-1518	276	10	mass	mass	NOUN
cana-1518	276	11	transfer	transfer	NOUN
cana-1518	276	12	from	from	ADP
cana-1518	276	13	the	the	DET
cana-1518	276	14	surface	surface	NOUN
cana-1518	276	15	to	to	PART
cana-1518	276	16	fluid	fluid	VERB
cana-1518	276	17	.	.	PUNCT
cana-1518	277	1	the	the	DET
cana-1518	277	2	impact	impact	NOUN
cana-1518	277	3	of	of	ADP
cana-1518	277	4	the	the	DET
cana-1518	277	5	radiation	radiation	NOUN
cana-1518	277	6	parameter	parameter	NOUN
cana-1518	277	7	(	(	PUNCT
cana-1518	277	8	r	r	NOUN
cana-1518	277	9	)	)	PUNCT
cana-1518	277	10	is	be	AUX
cana-1518	277	11	significant	significant	ADJ
cana-1518	277	12	on	on	ADP
cana-1518	277	13	particularly	particularly	ADV
cana-1518	277	14	nusselt	nusselt	NOUN
cana-1518	277	15	number	number	NOUN
cana-1518	277	16	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	277	17	,	,	PUNCT
cana-1518	277	18	if	if	SCONJ
cana-1518	277	19	radiative	radiative	ADJ
cana-1518	277	20	heat	heat	NOUN
cana-1518	277	21	transfer	transfer	NOUN
cana-1518	277	22	together	together	ADV
cana-1518	277	23	with	with	ADP
cana-1518	277	24	convection	convection	NOUN
cana-1518	277	25	also	also	ADV
cana-1518	277	26	contribute	contribute	VERB
cana-1518	277	27	,	,	PUNCT
cana-1518	277	28	then	then	ADV
cana-1518	277	29	rising	rise	VERB
cana-1518	277	30	value	value	NOUN
cana-1518	277	31	in	in	ADP
cana-1518	277	32	the	the	DET
cana-1518	277	33	(	(	PUNCT
cana-1518	277	34	r	r	NOUN
cana-1518	277	35	)	)	PUNCT
cana-1518	277	36	enhances	enhance	VERB
cana-1518	277	37	generally	generally	ADV
cana-1518	277	38	a	a	DET
cana-1518	277	39	rate	rate	NOUN
cana-1518	277	40	of	of	ADP
cana-1518	277	41	heat	heat	NOUN
cana-1518	277	42	transfusion	transfusion	NOUN
cana-1518	277	43	.	.	PUNCT
cana-1518	278	1	the	the	DET
cana-1518	278	2	mass	mass	NOUN
cana-1518	278	3	transfer	transfer	NOUN
cana-1518	278	4	rate	rate	NOUN
cana-1518	278	5	,	,	PUNCT
cana-1518	278	6	based	base	VERB
cana-1518	278	7	on	on	ADP
cana-1518	278	8	the	the	DET
cana-1518	278	9	sherwood	sherwood	PROPN
cana-1518	278	10	number	number	NOUN
cana-1518	278	11	𝑆ℎ𝑥	𝑆ℎ𝑥	PROPN
cana-1518	278	12	,	,	PUNCT
cana-1518	278	13	is	be	AUX
cana-1518	278	14	strongly	strongly	ADV
cana-1518	278	15	influenced	influence	VERB
cana-1518	278	16	by	by	ADP
cana-1518	278	17	nb	nb	INTJ
cana-1518	278	18	and	and	CCONJ
cana-1518	278	19	nt	not	PART
cana-1518	278	20	.	.	PUNCT
cana-1518	279	1	nb	nb	PROPN
cana-1518	279	2	causes	cause	VERB
cana-1518	279	3	nanoparticles	nanoparticle	NOUN
cana-1518	279	4	to	to	PART
cana-1518	279	5	move	move	VERB
cana-1518	279	6	randomly	randomly	ADV
cana-1518	279	7	and	and	CCONJ
cana-1518	279	8	effectively	effectively	ADV
cana-1518	279	9	travel	travel	VERB
cana-1518	279	10	from	from	ADP
cana-1518	279	11	the	the	DET
cana-1518	279	12	surface	surface	NOUN
cana-1518	279	13	by	by	ADP
cana-1518	279	14	enhancing	enhance	VERB
cana-1518	279	15	its	its	PRON
cana-1518	279	16	brownian	brownian	ADJ
cana-1518	279	17	motion	motion	NOUN
cana-1518	279	18	,	,	PUNCT
cana-1518	279	19	whereas	whereas	SCONJ
cana-1518	279	20	nt	not	PART
cana-1518	279	21	can	can	AUX
cana-1518	279	22	drag	drag	VERB
cana-1518	279	23	particles	particle	NOUN
cana-1518	279	24	towards	towards	ADP
cana-1518	279	25	cooler	cool	ADJ
cana-1518	279	26	areas	area	NOUN
cana-1518	279	27	along	along	ADP
cana-1518	279	28	a	a	DET
cana-1518	279	29	hotter	hot	ADJ
cana-1518	279	30	gradient	gradient	NOUN
cana-1518	279	31	—	—	PUNCT
cana-1518	279	32	both	both	DET
cana-1518	279	33	features	feature	NOUN
cana-1518	279	34	will	will	AUX
cana-1518	279	35	increase	increase	VERB
cana-1518	279	36	diffusion	diffusion	NOUN
cana-1518	279	37	(	(	PUNCT
cana-1518	279	38	mass	mass	NOUN
cana-1518	279	39	transfer	transfer	NOUN
cana-1518	279	40	)	)	PUNCT
cana-1518	279	41	.	.	PUNCT
cana-1518	280	1	as	as	SCONJ
cana-1518	280	2	presented	present	VERB
cana-1518	280	3	in	in	ADP
cana-1518	280	4	table	table	NOUN
cana-1518	280	5	2	2	NUM
cana-1518	280	6	,	,	PUNCT
cana-1518	280	7	these	these	DET
cana-1518	280	8	parameters	parameter	NOUN
cana-1518	280	9	have	have	VERB
cana-1518	280	10	a	a	DET
cana-1518	280	11	closing	closing	NOUN
cana-1518	280	12	relationship	relationship	NOUN
cana-1518	280	13	with	with	ADP
cana-1518	280	14	the	the	DET
cana-1518	280	15	performance	performance	NOUN
cana-1518	280	16	of	of	ADP
cana-1518	280	17	thermal	thermal	ADJ
cana-1518	280	18	and	and	CCONJ
cana-1518	280	19	mass	mass	ADJ
cana-1518	280	20	diffusion	diffusion	NOUN
cana-1518	280	21	process	process	NOUN
cana-1518	280	22	inside	inside	ADP
cana-1518	280	23	flow	flow	NOUN
cana-1518	280	24	that	that	PRON
cana-1518	280	25	are	be	AUX
cana-1518	280	26	vital	vital	ADJ
cana-1518	280	27	for	for	ADP
cana-1518	280	28	optimizing	optimize	VERB
cana-1518	280	29	application	application	NOUN
cana-1518	280	30	where	where	SCONJ
cana-1518	280	31	heat	heat	NOUN
cana-1518	280	32	and	and	CCONJ
cana-1518	280	33	mass	mass	NOUN
cana-1518	280	34	transfer	transfer	NOUN
cana-1518	280	35	take	take	VERB
cana-1518	280	36	place	place	NOUN
cana-1518	280	37	such	such	ADJ
cana-1518	280	38	as	as	ADP
cana-1518	280	39	cooling	cool	VERB
cana-1518	280	40	system	system	NOUN
cana-1518	280	41	[	[	X
cana-1518	280	42	11	11	NUM
cana-1518	280	43	]	]	PUNCT
cana-1518	280	44	or	or	CCONJ
cana-1518	280	45	chemical	chemical	NOUN
cana-1518	280	46	processing	processing	NOUN
cana-1518	280	47	[	[	X
cana-1518	280	48	24	24	NUM
cana-1518	280	49	]	]	PUNCT
cana-1518	280	50	.	.	PUNCT
cana-1518	281	1	radiation	radiation	NOUN
cana-1518	281	2	parameter	parameter	NOUN
cana-1518	281	3	(	(	PUNCT
cana-1518	281	4	r	r	NOUN
cana-1518	281	5	)	)	PUNCT
cana-1518	281	6	brownian	brownian	ADJ
cana-1518	281	7	motion	motion	NOUN
cana-1518	281	8	parameter	parameter	NOUN
cana-1518	281	9	(	(	PUNCT
cana-1518	281	10	nb	nb	NOUN
cana-1518	281	11	)	)	PUNCT
cana-1518	281	12	thermophoresis	thermophoresis	NOUN
cana-1518	281	13	parameter	parameter	NOUN
cana-1518	281	14	(	(	PUNCT
cana-1518	281	15	nt	not	PART
cana-1518	281	16	)	)	PUNCT
cana-1518	281	17	nusselt	nusselt	NOUN
cana-1518	281	18	number	number	NOUN
cana-1518	281	19	(	(	PUNCT
cana-1518	281	20	nu_x	nu_x	NUM
cana-1518	281	21	)	)	PUNCT
cana-1518	281	22	sherwood	sherwood	NOUN
cana-1518	281	23	number	number	NOUN
cana-1518	281	24	(	(	PUNCT
cana-1518	281	25	sh_x	sh_x	PROPN
cana-1518	281	26	)	)	PUNCT
cana-1518	281	27	0.1	0.1	NUM
cana-1518	281	28	0.2	0.2	NUM
cana-1518	281	29	0.3	0.3	NUM
cana-1518	281	30	6.2	6.2	NUM
cana-1518	281	31	2.9	2.9	NUM
cana-1518	281	32	0.3	0.3	NUM
cana-1518	281	33	0.4	0.4	NUM
cana-1518	281	34	0.5	0.5	NUM
cana-1518	281	35	6.5	6.5	NUM
cana-1518	281	36	3.1	3.1	NUM
cana-1518	281	37	0.5	0.5	NUM
cana-1518	281	38	0.6	0.6	NUM
cana-1518	281	39	0.7	0.7	NUM
cana-1518	281	40	6.8	6.8	NUM
cana-1518	281	41	3.3	3.3	NUM
cana-1518	281	42	0.7	0.7	NUM
cana-1518	281	43	0.8	0.8	NUM
cana-1518	281	44	0.9	0.9	NUM
cana-1518	281	45	7.1	7.1	NUM
cana-1518	281	46	3.5	3.5	NUM
cana-1518	281	47	1.0	1.0	NUM
cana-1518	281	48	1.0	1.0	NUM
cana-1518	281	49	1.2	1.2	NUM
cana-1518	281	50	7.4	7.4	NUM
cana-1518	281	51	3.8	3.8	NUM
cana-1518	281	52	table	table	NOUN
cana-1518	281	53	2	2	NUM
cana-1518	281	54	:	:	PUNCT
cana-1518	281	55	nusselt	nusselt	NOUN
cana-1518	281	56	number	number	NOUN
cana-1518	281	57	and	and	CCONJ
cana-1518	281	58	sherwood	sherwood	NOUN
cana-1518	281	59	number	number	NOUN
cana-1518	281	60	under	under	ADP
cana-1518	281	61	various	various	ADJ
cana-1518	281	62	conditions	condition	NOUN
cana-1518	281	63	from	from	ADP
cana-1518	281	64	table	table	NOUN
cana-1518	281	65	2	2	NUM
cana-1518	281	66	,	,	PUNCT
cana-1518	281	67	it	it	PRON
cana-1518	281	68	is	be	AUX
cana-1518	281	69	clear	clear	ADJ
cana-1518	281	70	that	that	SCONJ
cana-1518	281	71	the	the	DET
cana-1518	281	72	nusselt	nusselt	NOUN
cana-1518	281	73	number	number	NOUN
cana-1518	281	74	(	(	PUNCT
cana-1518	281	75	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	281	76	)	)	PUNCT
cana-1518	281	77	increases	increase	VERB
cana-1518	281	78	with	with	ADP
cana-1518	281	79	an	an	DET
cana-1518	281	80	increase	increase	NOUN
cana-1518	281	81	in	in	ADP
cana-1518	281	82	r	r	NOUN
cana-1518	281	83	as	as	SCONJ
cana-1518	281	84	anticipated	anticipate	VERB
cana-1518	281	85	due	due	ADP
cana-1518	281	86	to	to	ADP
cana-1518	281	87	higher	high	ADJ
cana-1518	281	88	radiation	radiation	NOUN
cana-1518	281	89	aids	aid	NOUN
cana-1518	281	90	heat	heat	NOUN
cana-1518	281	91	transfer	transfer	NOUN
cana-1518	281	92	rates	rate	NOUN
cana-1518	281	93	by	by	ADP
cana-1518	281	94	way	way	NOUN
cana-1518	281	95	of	of	ADP
cana-1518	281	96	radiative	radiative	ADJ
cana-1518	281	97	mode	mode	NOUN
cana-1518	281	98	in	in	ADP
cana-1518	281	99	addition	addition	NOUN
cana-1518	281	100	to	to	ADP
cana-1518	281	101	convective	convective	ADJ
cana-1518	281	102	mechanism	mechanism	NOUN
cana-1518	281	103	.	.	PUNCT
cana-1518	282	1	the	the	DET
cana-1518	282	2	brownian	brownian	PROPN
cana-1518	282	3	movement	movement	PROPN
cana-1518	282	4	parameter	parameter	NOUN
cana-1518	282	5	(	(	PUNCT
cana-1518	282	6	nb	nb	INTJ
cana-1518	282	7	)	)	PUNCT
cana-1518	282	8	and	and	CCONJ
cana-1518	282	9	thermophoresis	thermophoresis	NOUN
cana-1518	282	10	parameter	parameter	NOUN
cana-1518	282	11	(	(	PUNCT
cana-1518	282	12	nt	not	PART
cana-1518	282	13	)	)	PUNCT
cana-1518	282	14	also	also	ADV
cana-1518	282	15	have	have	VERB
cana-1518	282	16	a	a	DET
cana-1518	282	17	very	very	ADV
cana-1518	282	18	significant	significant	ADJ
cana-1518	282	19	effect	effect	NOUN
cana-1518	282	20	on	on	ADP
cana-1518	282	21	the	the	DET
cana-1518	282	22	heat	heat	NOUN
cana-1518	282	23	and	and	CCONJ
cana-1518	282	24	mass	mass	NOUN
cana-1518	282	25	transfer	transfer	NOUN
cana-1518	282	26	processes	process	NOUN
cana-1518	282	27	.	.	PUNCT
cana-1518	283	1	in	in	ADP
cana-1518	283	2	particular	particular	ADJ
cana-1518	283	3	the	the	DET
cana-1518	283	4	prandtl	prandtl	NOUN
cana-1518	283	5	and	and	CCONJ
cana-1518	283	6	schmidt	schmidt	ADJ
cana-1518	283	7	numbers	number	NOUN
cana-1518	283	8	in	in	ADP
cana-1518	283	9	which	which	PRON
cana-1518	283	10	,	,	PUNCT
cana-1518	283	11	an	an	DET
cana-1518	283	12	enhancement	enhancement	NOUN
cana-1518	283	13	of(with	of(with	ADP
cana-1518	283	14	fixed	fix	VERB
cana-1518	283	15	or	or	CCONJ
cana-1518	283	16	not	not	PART
cana-1518	283	17	)	)	PUNCT
cana-1518	283	18	leads	lead	VERB
cana-1518	283	19	to	to	ADP
cana-1518	283	20	a	a	DET
cana-1518	283	21	higher	high	ADJ
cana-1518	283	22	nusselt	nusselt	NOUN
cana-1518	283	23	(	(	PUNCT
cana-1518	283	24	nu	nu	NOUN
cana-1518	283	25	)	)	PUNCT
cana-1518	283	26	as	as	ADV
cana-1518	283	27	well	well	ADV
cana-1518	283	28	as	as	ADP
cana-1518	283	29	sherwood	sherwood	PROPN
cana-1518	283	30	essence(nt	essence(nt	PROPN
cana-1518	283	31	)	)	PUNCT
cana-1518	283	32	.	.	PUNCT
cana-1518	284	1	this	this	PRON
cana-1518	284	2	suggests	suggest	VERB
cana-1518	284	3	that	that	SCONJ
cana-1518	284	4	the	the	DET
cana-1518	284	5	enhancement	enhancement	NOUN
cana-1518	284	6	of	of	ADP
cana-1518	284	7	thermal	thermal	ADJ
cana-1518	284	8	diffusion	diffusion	NOUN
cana-1518	284	9	is	be	AUX
cana-1518	284	10	evident	evident	ADJ
cana-1518	284	11	with	with	ADP
cana-1518	284	12	nanoparticle	nanoparticle	NOUN
cana-1518	284	13	presence	presence	NOUN
cana-1518	284	14	and	and	CCONJ
cana-1518	284	15	its	its	PRON
cana-1518	284	16	migration	migration	NOUN
cana-1518	284	17	by	by	ADP
cana-1518	284	18	temperature	temperature	NOUN
cana-1518	284	19	gradients	gradient	NOUN
cana-1518	284	20	leading	lead	VERB
cana-1518	284	21	to	to	ADP
cana-1518	284	22	a	a	DET
cana-1518	284	23	faster	fast	ADJ
cana-1518	284	24	mass	mass	NOUN
cana-1518	284	25	diffusing	diffuse	VERB
cana-1518	284	26	in	in	ADP
cana-1518	284	27	flow	flow	NOUN
cana-1518	284	28	.	.	PUNCT
cana-1518	285	1	enhancement	enhancement	NOUN
cana-1518	285	2	in	in	ADP
cana-1518	285	3	(	(	PUNCT
cana-1518	285	4	nb	nb	INTJ
cana-1518	285	5	)	)	PUNCT
cana-1518	285	6	increments	increment	VERB
cana-1518	285	7	the	the	DET
cana-1518	285	8	random	random	ADJ
cana-1518	285	9	motion	motion	NOUN
cana-1518	285	10	of	of	ADP
cana-1518	285	11	nanoparticles	nanoparticle	NOUN
cana-1518	285	12	which	which	PRON
cana-1518	285	13	improves	improve	VERB
cana-1518	285	14	heat	heat	NOUN
cana-1518	285	15	and	and	CCONJ
cana-1518	285	16	mass	mass	NOUN
cana-1518	285	17	transport	transport	NOUN
cana-1518	285	18	through	through	ADP
cana-1518	285	19	the	the	DET
cana-1518	285	20	system	system	NOUN
cana-1518	285	21	by	by	ADP
cana-1518	285	22	stirring	stir	VERB
cana-1518	285	23	particles	particle	NOUN
cana-1518	285	24	,	,	PUNCT
cana-1518	285	25	while	while	SCONJ
cana-1518	285	26	increment	increment	NOUN
cana-1518	285	27	on	on	ADP
cana-1518	285	28	(	(	PUNCT
cana-1518	285	29	nt	not	PART
cana-1518	285	30	)	)	PUNCT
cana-1518	285	31	brings	bring	VERB
cana-1518	285	32	movement	movement	NOUN
cana-1518	285	33	from	from	ADP
cana-1518	285	34	hotter	hot	ADJ
cana-1518	285	35	areas	area	NOUN
cana-1518	285	36	to	to	ADP
cana-1518	285	37	cooler	cooler	ADJ
cana-1518	285	38	ones	one	NOUN
cana-1518	285	39	that	that	PRON
cana-1518	285	40	causes	cause	VERB
cana-1518	285	41	intense	intense	ADJ
cana-1518	285	42	improvement	improvement	NOUN
cana-1518	285	43	into	into	ADP
cana-1518	285	44	these	these	DET
cana-1518	285	45	processes	process	NOUN
cana-1518	285	46	.	.	PUNCT
cana-1518	286	1	this	this	DET
cana-1518	286	2	perspective	perspective	NOUN
cana-1518	286	3	illuminates	illuminate	VERB
cana-1518	286	4	the	the	DET
cana-1518	286	5	significance	significance	NOUN
cana-1518	286	6	of	of	ADP
cana-1518	286	7	nanoparticle	nanoparticle	NOUN
cana-1518	286	8	dynamics	dynamic	NOUN
cana-1518	286	9	in	in	ADP
cana-1518	286	10	advancements	advancement	NOUN
cana-1518	286	11	related	relate	VERB
cana-1518	286	12	to	to	ADP
cana-1518	286	13	heat	heat	NOUN
cana-1518	286	14	and	and	CCONJ
cana-1518	286	15	mass	mass	NOUN
cana-1518	286	16	transfer	transfer	NOUN
cana-1518	286	17	processes	process	NOUN
cana-1518	286	18	with	with	ADP
cana-1518	286	19	special	special	ADJ
cana-1518	286	20	emphasis	emphasis	NOUN
cana-1518	286	21	on	on	ADP
cana-1518	286	22	nanofluid	nanofluid	PROPN
cana-1518	286	23	based	base	VERB
cana-1518	286	24	engineering	engineering	NOUN
cana-1518	286	25	applications	application	NOUN
cana-1518	286	26	.	.	PUNCT
cana-1518	287	1	3	3	X
cana-1518	287	2	.	.	X
cana-1518	287	3	influence	influence	NOUN
cana-1518	287	4	of	of	ADP
cana-1518	287	5	viscous	viscous	ADJ
cana-1518	287	6	dissipation	dissipation	NOUN
cana-1518	287	7	and	and	CCONJ
cana-1518	287	8	thermal	thermal	ADJ
cana-1518	287	9	radiation	radiation	NOUN
cana-1518	287	10	the	the	DET
cana-1518	287	11	viscous	viscous	ADJ
cana-1518	287	12	dissipation	dissipation	NOUN
cana-1518	287	13	and	and	CCONJ
cana-1518	287	14	thermal	thermal	ADJ
cana-1518	287	15	radiation	radiation	NOUN
cana-1518	287	16	are	be	AUX
cana-1518	287	17	vitally	vitally	ADV
cana-1518	287	18	important	important	ADJ
cana-1518	287	19	in	in	ADP
cana-1518	287	20	high	high	ADJ
cana-1518	287	21	-	-	PUNCT
cana-1518	287	22	temperature	temperature	NOUN
cana-1518	287	23	environments	environment	NOUN
cana-1518	287	24	,	,	PUNCT
cana-1518	287	25	respectively	respectively	ADV
cana-1518	287	26	.	.	PUNCT
cana-1518	288	1	this	this	DET
cana-1518	288	2	one	one	NOUN
cana-1518	288	3	in	in	ADP
cana-1518	288	4	its	its	PRON
cana-1518	288	5	turn	turn	NOUN
cana-1518	288	6	will	will	AUX
cana-1518	288	7	increase	increase	VERB
cana-1518	288	8	the	the	DET
cana-1518	288	9	thermal	thermal	ADJ
cana-1518	288	10	boundary	boundary	ADJ
cana-1518	288	11	layer	layer	NOUN
cana-1518	288	12	thickness	thickness	NOUN
cana-1518	288	13	because	because	SCONJ
cana-1518	288	14	of	of	ADP
cana-1518	288	15	conversion	conversion	NOUN
cana-1518	288	16	of	of	ADP
cana-1518	288	17	kinetic	kinetic	ADJ
cana-1518	288	18	energy	energy	NOUN
cana-1518	288	19	into	into	ADP
cana-1518	288	20	thermal	thermal	ADJ
cana-1518	288	21	leads	lead	NOUN
cana-1518	288	22	to	to	ADP
cana-1518	288	23	raising	raise	VERB
cana-1518	288	24	a	a	DET
cana-1518	288	25	temperature	temperature	NOUN
cana-1518	288	26	,	,	PUNCT
cana-1518	288	27	namely	namely	ADV
cana-1518	288	28	—	—	PUNCT
cana-1518	288	29	viscous	viscous	ADJ
cana-1518	288	30	dissipation	dissipation	NOUN
cana-1518	288	31	.	.	PUNCT
cana-1518	289	1	this	this	DET
cana-1518	289	2	change	change	NOUN
cana-1518	289	3	in	in	ADP
cana-1518	289	4	temperature	temperature	NOUN
cana-1518	289	5	distribution	distribution	NOUN
cana-1518	289	6	impacts	impact	VERB
cana-1518	289	7	the	the	DET
cana-1518	289	8	nusselt	nusselt	NOUN
cana-1518	289	9	number	number	NOUN
cana-1518	289	10	(	(	PUNCT
cana-1518	289	11	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	289	12	)	)	PUNCT
cana-1518	289	13	,	,	PUNCT
cana-1518	289	14	being	be	AUX
cana-1518	289	15	a	a	DET
cana-1518	289	16	dimensionless	dimensionless	NOUN
cana-1518	289	17	heat	heat	NOUN
cana-1518	289	18	transfer	transfer	NOUN
cana-1518	289	19	rate	rate	NOUN
cana-1518	289	20	.	.	PUNCT
cana-1518	290	1	that	that	PRON
cana-1518	290	2	is	is	ADV
cana-1518	290	3	,	,	PUNCT
cana-1518	290	4	the	the	DET
cana-1518	290	5	greater	great	ADJ
cana-1518	290	6	viscous	viscous	ADJ
cana-1518	290	7	dissipation	dissipation	NOUN
cana-1518	290	8	effects	effect	NOUN
cana-1518	290	9	are	be	AUX
cana-1518	290	10	accounted	account	VERB
cana-1518	290	11	for	for	ADP
cana-1518	290	12	with	with	ADP
cana-1518	290	13	communications	communication	NOUN
cana-1518	290	14	on	on	ADP
cana-1518	290	15	applied	apply	VERB
cana-1518	290	16	nonlinear	nonlinear	ADJ
cana-1518	290	17	analysis	analysis	NOUN
cana-1518	290	18	issn	issn	NOUN
cana-1518	290	19	:	:	PUNCT
cana-1518	290	20	1074	1074	NUM
cana-1518	290	21	-	-	PUNCT
cana-1518	290	22	133x	133x	NUM
cana-1518	290	23	vol	vol	NOUN
cana-1518	290	24	31	31	NUM
cana-1518	290	25	no	no	NOUN
cana-1518	290	26	.	.	PUNCT
cana-1518	291	1	8s	8s	PROPN
cana-1518	291	2	(	(	PUNCT
cana-1518	291	3	2024	2024	NUM
cana-1518	291	4	)	)	PUNCT
cana-1518	291	5	391	391	NUM
cana-1518	291	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1518	291	7	higher	high	ADJ
cana-1518	291	8	values	value	NOUN
cana-1518	291	9	of	of	ADP
cana-1518	291	10	(	(	PUNCT
cana-1518	291	11	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1518	291	12	)	)	PUNCT
cana-1518	291	13	and	and	CCONJ
cana-1518	291	14	consequently	consequently	ADV
cana-1518	291	15	increasing	increase	VERB
cana-1518	291	16	internal	internal	ADJ
cana-1518	291	17	heat	heat	NOUN
cana-1518	291	18	transfer	transfer	NOUN
cana-1518	291	19	but	but	CCONJ
cana-1518	291	20	taking	take	VERB
cana-1518	291	21	into	into	ADP
cana-1518	291	22	account	account	NOUN
cana-1518	291	23	that	that	SCONJ
cana-1518	291	24	thermal	thermal	ADJ
cana-1518	291	25	boundary	boundary	ADJ
cana-1518	291	26	layer	layer	NOUN
cana-1518	291	27	thickness	thickness	NOUN
cana-1518	291	28	has	have	AUX
cana-1518	291	29	now	now	ADV
cana-1518	291	30	increased	increase	VERB
cana-1518	291	31	.	.	PUNCT
cana-1518	292	1	it	it	PRON
cana-1518	292	2	is	be	AUX
cana-1518	292	3	necessary	necessary	ADJ
cana-1518	292	4	also	also	ADV
cana-1518	292	5	to	to	PART
cana-1518	292	6	take	take	VERB
cana-1518	292	7	into	into	ADP
cana-1518	292	8	account	account	NOUN
cana-1518	292	9	thermal	thermal	ADJ
cana-1518	292	10	radiation	radiation	NOUN
cana-1518	292	11	,	,	PUNCT
cana-1518	292	12	which	which	PRON
cana-1518	292	13	when	when	SCONJ
cana-1518	292	14	approximated	approximate	VERB
cana-1518	292	15	using	use	VERB
cana-1518	292	16	the	the	DET
cana-1518	292	17	rosseland	rosseland	NOUN
cana-1518	292	18	approximation	approximation	NOUN
cana-1518	292	19	contributes	contribute	VERB
cana-1518	292	20	significantly	significantly	ADV
cana-1518	292	21	to	to	PART
cana-1518	292	22	heat	heat	NOUN
cana-1518	292	23	transfer	transfer	NOUN
cana-1518	292	24	.	.	PUNCT
cana-1518	293	1	the	the	DET
cana-1518	293	2	rosseland	rosseland	PROPN
cana-1518	293	3	approximation	approximation	NOUN
cana-1518	293	4	correctly	correctly	ADV
cana-1518	293	5	models	model	VERB
cana-1518	293	6	radiative	radiative	VERB
cana-1518	293	7	heat	heat	NOUN
cana-1518	293	8	transfer	transfer	NOUN
cana-1518	293	9	as	as	ADP
cana-1518	293	10	the	the	DET
cana-1518	293	11	diffusion	diffusion	NOUN
cana-1518	293	12	of	of	ADP
cana-1518	293	13	thermal	thermal	ADJ
cana-1518	293	14	radiation	radiation	NOUN
cana-1518	293	15	within	within	ADP
cana-1518	293	16	the	the	DET
cana-1518	293	17	fluid	fluid	NOUN
cana-1518	293	18	.	.	PUNCT
cana-1518	294	1	with	with	ADP
cana-1518	294	2	the	the	DET
cana-1518	294	3	increase	increase	NOUN
cana-1518	294	4	in	in	ADP
cana-1518	294	5	radiation	radiation	NOUN
cana-1518	294	6	parameter	parameter	NOUN
cana-1518	294	7	,	,	PUNCT
cana-1518	294	8	)	)	PUNCT
cana-1518	294	9	,	,	PUNCT
cana-1518	294	10	(	(	PUNCT
cana-1518	294	11	𝐻𝑢𝑥	𝐻𝑢𝑥	PROPN
cana-1518	294	12	values	value	NOUN
cana-1518	294	13	increases	increase	NOUN
cana-1518	294	14	and	and	CCONJ
cana-1518	294	15	heat	heat	NOUN
cana-1518	294	16	transfer	transfer	NOUN
cana-1518	294	17	rate	rate	NOUN
cana-1518	294	18	improves	improve	VERB
cana-1518	294	19	.	.	PUNCT
cana-1518	295	1	wellaverick	wellaverick	ADJ
cana-1518	295	2	fuels	fuel	NOUN
cana-1518	295	3	predicted	predict	VERB
cana-1518	295	4	high	high	ADJ
cana-1518	295	5	alphas	alpha	NOUN
cana-1518	295	6	because	because	SCONJ
cana-1518	295	7	droplet	droplet	ADJ
cana-1518	295	8	temperatures	temperature	NOUN
cana-1518	295	9	are	be	AUX
cana-1518	295	10	large	large	ADJ
cana-1518	295	11	and	and	CCONJ
cana-1518	295	12	therefore	therefore	ADV
cana-1518	295	13	radiative	radiative	ADJ
cana-1518	295	14	heat	heat	NOUN
cana-1518	295	15	transfer	transfer	NOUN
cana-1518	295	16	contributes	contribute	VERB
cana-1518	295	17	heavily	heavily	ADV
cana-1518	295	18	to	to	ADP
cana-1518	295	19	the	the	DET
cana-1518	295	20	total	total	NOUN
cana-1518	295	21	,	,	PUNCT
cana-1518	295	22	additional	additional	ADJ
cana-1518	295	23	radiation	radiation	NOUN
cana-1518	295	24	adds	add	VERB
cana-1518	295	25	a	a	DET
cana-1518	295	26	significant	significant	ADJ
cana-1518	295	27	amount	amount	NOUN
cana-1518	295	28	of	of	ADP
cana-1518	295	29	hr	hr	NOUN
cana-1518	295	30	17	17	NUM
cana-1518	295	31	overall	overall	NOUN
cana-1518	295	32	.	.	PUNCT
cana-1518	296	1	consequently	consequently	ADV
cana-1518	296	2	,	,	PUNCT
cana-1518	296	3	both	both	PRON
cana-1518	296	4	viscous	viscous	ADJ
cana-1518	296	5	dissipation	dissipation	NOUN
cana-1518	296	6	and	and	CCONJ
cana-1518	296	7	thermal	thermal	ADJ
cana-1518	296	8	radiation	radiation	NOUN
cana-1518	296	9	are	be	AUX
cana-1518	296	10	of	of	ADP
cana-1518	296	11	great	great	ADJ
cana-1518	296	12	importance	importance	NOUN
cana-1518	296	13	in	in	ADP
cana-1518	296	14	high	high	ADJ
cana-1518	296	15	-	-	PUNCT
cana-1518	296	16	temperature	temperature	NOUN
cana-1518	296	17	situations	situation	NOUN
cana-1518	296	18	for	for	ADP
cana-1518	296	19	heat	heat	NOUN
cana-1518	296	20	transfer	transfer	NOUN
cana-1518	296	21	phenomena	phenomenon	NOUN
cana-1518	296	22	under	under	ADP
cana-1518	296	23	consideration	consideration	NOUN
cana-1518	296	24	by	by	ADP
cana-1518	296	25	causing	cause	VERB
cana-1518	296	26	changes	change	NOUN
cana-1518	296	27	to	to	ADP
cana-1518	296	28	the	the	DET
cana-1518	296	29	boundary	boundary	ADJ
cana-1518	296	30	layer	layer	NOUN
cana-1518	296	31	through	through	ADP
cana-1518	296	32	viscous	viscous	ADJ
cana-1518	296	33	dissipation	dissipation	NOUN
cana-1518	296	34	as	as	ADP
cana-1518	296	35	well	well	ADV
cana-1518	296	36	enhancing	enhance	VERB
cana-1518	296	37	efficiency	efficiency	NOUN
cana-1518	296	38	of	of	ADP
cana-1518	296	39	general	general	ADJ
cana-1518	296	40	performance	performance	NOUN
cana-1518	296	41	while	while	SCONJ
cana-1518	296	42	increasing	increase	VERB
cana-1518	296	43	rateof	rateof	NOUN
cana-1518	296	44	heats	heat	VERB
cana-1518	296	45	toward	toward	ADP
cana-1518	296	46	presenceembracingthermal	presenceembracingthermal	ADJ
cana-1518	296	47	radiation	radiation	NOUN
cana-1518	296	48	[	[	X
cana-1518	296	49	31	31	NUM
cana-1518	296	50	]	]	PUNCT
cana-1518	296	51	.	.	PUNCT
cana-1518	297	1	a	a	DET
cana-1518	297	2	β	β	X
cana-1518	297	3	𝞂	𝞂	NOUN
cana-1518	297	4	r	r	PROPN
cana-1518	297	5	sc	sc	PROPN
cana-1518	297	6	kc	kc	PROPN
cana-1518	297	7	a	a	PROPN
cana-1518	297	8	*	*	X
cana-1518	297	9	b	b	X
cana-1518	297	10	*	*	PUNCT
cana-1518	297	11	(	(	PUNCT
cana-1518	297	12	1	1	NUM
cana-1518	297	13	+	+	SYM
cana-1518	297	14	1	1	NUM
cana-1518	297	15	𝛽	𝛽	NOUN
cana-1518	297	16	)	)	PUNCT
cana-1518	297	17	𝑓′′(0	𝑓′′(0	NOUN
cana-1518	297	18	)	)	PUNCT
cana-1518	297	19	(	(	PUNCT
cana-1518	297	20	1	1	NUM
cana-1518	297	21	+	+	CCONJ
cana-1518	297	22	4	4	NUM
cana-1518	297	23	3	3	NUM
cana-1518	297	24	)	)	PUNCT
cana-1518	297	25	𝜃′(0	𝜃′(0	NOUN
cana-1518	297	26	)	)	PUNCT
cana-1518	297	27	-∅(0	-∅(0	PROPN
cana-1518	297	28	)	)	PUNCT
cana-1518	297	29	0.2	0.2	NUM
cana-1518	297	30	2	2	NUM
cana-1518	297	31	35	35	NUM
cana-1518	297	32	+	+	NUM
cana-1518	297	33	0.12	0.12	NUM
cana-1518	297	34	1.1	1.1	NUM
cana-1518	297	35	0.12	0.12	NUM
cana-1518	297	36	0.11	0.11	NUM
cana-1518	297	37	0.13	0.13	NUM
cana-1518	297	38	-1.883182	-1.883182	NOUN
cana-1518	297	39	0.407212	0.407212	NUM
cana-1518	297	40	-0.162641	-0.162641	NOUN
cana-1518	298	1	0.1	0.1	NUM
cana-1518	298	2	1	1	NUM
cana-1518	298	3	35	35	NUM
cana-1518	298	4	+	+	NUM
cana-1518	298	5	0.12	0.12	NUM
cana-1518	298	6	1.1	1.1	NUM
cana-1518	298	7	0.13	0.13	NUM
cana-1518	298	8	0.11	0.11	NUM
cana-1518	298	9	0.12	0.12	NUM
cana-1518	298	10	-1.174292	-1.174292	NOUN
cana-1518	298	11	0.454355	0.454355	NUM
cana-1518	298	12	-0.187601	-0.187601	NOUN
cana-1518	298	13	1.0	1.0	NUM
cana-1518	298	14	2	2	NUM
cana-1518	298	15	35	35	NUM
cana-1518	298	16	+	+	NUM
cana-1518	298	17	0.12	0.12	NUM
cana-1518	298	18	1.1	1.1	NUM
cana-1518	298	19	0.14	0.14	NUM
cana-1518	298	20	0.16	0.16	NUM
cana-1518	298	21	0.15	0.15	NUM
cana-1518	298	22	1.336129	1.336129	NUM
cana-1518	298	23	3.472751	3.472751	NUM
cana-1518	298	24	-1.733988	-1.733988	NOUN
cana-1518	298	25	0.8	0.8	NUM
cana-1518	298	26	3	3	NUM
cana-1518	298	27	35	35	NUM
cana-1518	298	28	+	+	NUM
cana-1518	298	29	0.12	0.12	NUM
cana-1518	298	30	1.1	1.1	NUM
cana-1518	298	31	0.12	0.12	NUM
cana-1518	298	32	0.16	0.16	NUM
cana-1518	298	33	0.15	0.15	NUM
cana-1518	298	34	-1.036967	-1.036967	NOUN
cana-1518	298	35	0.457798	0.457798	NUM
cana-1518	298	36	-0.189428	-0.189428	NOUN
cana-1518	298	37	0.8	0.8	NUM
cana-1518	298	38	4	4	NUM
cana-1518	298	39	35	35	NUM
cana-1518	298	40	+	+	NUM
cana-1518	298	41	0.12	0.12	NUM
cana-1518	298	42	1.1	1.1	NUM
cana-1518	298	43	0.12	0.12	NUM
cana-1518	298	44	0.15	0.15	NUM
cana-1518	298	45	0.15	0.15	NUM
cana-1518	298	46	-0.968805	-0.968805	NOUN
cana-1518	299	1	0.859119	0.859119	NUM
cana-1518	299	2	-0.190128	-0.190128	NOUN
cana-1518	299	3	0.8	0.8	NUM
cana-1518	299	4	4	4	NUM
cana-1518	299	5	47	47	NUM
cana-1518	299	6	+	+	CCONJ
cana-1518	299	7	0.12	0.12	NUM
cana-1518	299	8	1.1	1.1	NUM
cana-1518	299	9	0.12	0.12	NUM
cana-1518	299	10	0.15	0.15	NUM
cana-1518	299	11	0.18	0.18	NUM
cana-1518	299	12	-0.986804	-0.986804	NOUN
cana-1518	299	13	0.674789	0.674789	NUM
cana-1518	299	14	-0.198419	-0.198419	NOUN
cana-1518	299	15	0.8	0.8	NUM
cana-1518	299	16	4	4	NUM
cana-1518	299	17	65	65	NUM
cana-1518	299	18	+	+	CCONJ
cana-1518	299	19	0.12	0.12	NUM
cana-1518	299	20	1.1	1.1	NUM
cana-1518	299	21	0.16	0.16	NUM
cana-1518	299	22	0.15	0.15	NUM
cana-1518	299	23	0.18	0.18	NUM
cana-1518	299	24	-0.899416	-0.899416	NOUN
cana-1518	299	25	0.813926	0.813926	NUM
cana-1518	299	26	-0.219136	-0.219136	NOUN
cana-1518	299	27	0.8	0.8	NUM
cana-1518	299	28	4	4	NUM
cana-1518	299	29	65	65	NUM
cana-1518	299	30	+	+	CCONJ
cana-1518	299	31	0.52	0.52	NUM
cana-1518	299	32	1.1	1.1	NUM
cana-1518	299	33	0.13	0.13	NUM
cana-1518	299	34	0.12	0.12	NUM
cana-1518	299	35	0.18	0.18	NUM
cana-1518	299	36	-0.899416	-0.899416	NOUN
cana-1518	299	37	0.890325	0.890325	NUM
cana-1518	299	38	-0.212516	-0.212516	NOUN
cana-1518	300	1	0.8	0.8	NUM
cana-1518	300	2	4	4	NUM
cana-1518	300	3	65	65	NUM
cana-1518	300	4	+	+	CCONJ
cana-1518	300	5	2	2	NUM
cana-1518	300	6	1.1	1.1	NUM
cana-1518	300	7	0.12	0.12	NUM
cana-1518	300	8	0.13	0.13	NUM
cana-1518	300	9	0.14	0.14	NUM
cana-1518	300	10	-0.899416	-0.899416	NOUN
cana-1518	300	11	0.999035	0.999035	NUM
cana-1518	300	12	-0.205465	-0.205465	NOUN
cana-1518	300	13	0.8	0.8	NUM
cana-1518	300	14	4	4	NUM
cana-1518	300	15	65	65	NUM
cana-1518	300	16	+	+	CCONJ
cana-1518	300	17	2	2	NUM
cana-1518	300	18	2.1	2.1	NUM
cana-1518	300	19	0.13	0.13	NUM
cana-1518	300	20	0.12	0.12	NUM
cana-1518	300	21	0.14	0.14	NUM
cana-1518	300	22	-0.899416	-0.899416	NOUN
cana-1518	301	1	0.495908	0.495908	NUM
cana-1518	301	2	-0.204663	-0.204663	NOUN
cana-1518	301	3	0.8	0.8	NUM
cana-1518	301	4	4	4	NUM
cana-1518	301	5	65	65	NUM
cana-1518	301	6	+	+	SYM
cana-1518	301	7	2	2	NUM
cana-1518	301	8	5.2	5.2	NUM
cana-1518	301	9	0.12	0.12	NUM
cana-1518	301	10	0.16	0.16	NUM
cana-1518	301	11	0.11	0.11	NUM
cana-1518	301	12	-0.899416	-0.899416	NOUN
cana-1518	301	13	0.489917	0.489917	NUM
cana-1518	301	14	-0.203127	-0.203127	NOUN
cana-1518	301	15	0.8	0.8	NUM
cana-1518	301	16	4	4	NUM
cana-1518	301	17	65	65	NUM
cana-1518	301	18	+	+	CCONJ
cana-1518	301	19	2	2	NUM
cana-1518	301	20	5.2	5.2	NUM
cana-1518	301	21	0.53	0.53	NUM
cana-1518	301	22	-0.6	-0.6	NUM
cana-1518	301	23	0.11	0.11	NUM
cana-1518	301	24	-0.899416	-0.899416	NOUN
cana-1518	301	25	0.605355	0.605355	NUM
cana-1518	301	26	-0.232806	-0.232806	NOUN
cana-1518	301	27	0.8	0.8	NUM
cana-1518	301	28	4	4	NUM
cana-1518	301	29	65	65	NUM
cana-1518	301	30	+	+	SYM
cana-1518	301	31	2	2	NUM
cana-1518	301	32	5.3	5.3	NUM
cana-1518	301	33	0.51	0.51	NUM
cana-1518	301	34	-0.4	-0.4	NUM
cana-1518	301	35	0.16	0.16	NUM
cana-1518	301	36	-0.899416	-0.899416	NOUN
cana-1518	301	37	0.262524	0.262524	NUM
cana-1518	301	38	-0.247508	-0.247508	NOUN
cana-1518	301	39	0.8	0.8	NUM
cana-1518	301	40	4	4	NUM
cana-1518	301	41	65	65	NUM
cana-1518	301	42	+	+	SYM
cana-1518	301	43	2	2	NUM
cana-1518	301	44	5.2	5.2	NUM
cana-1518	301	45	0.52	0.52	NUM
cana-1518	301	46	0.32	0.32	NUM
cana-1518	301	47	0.14	0.14	NUM
cana-1518	301	48	-0.899416	-0.899416	NOUN
cana-1518	302	1	0.333820	0.333820	NUM
cana-1518	302	2	-0.188698	-0.188698	NOUN
cana-1518	302	3	0.8	0.8	NUM
cana-1518	302	4	4	4	NUM
cana-1518	302	5	65	65	NUM
cana-1518	302	6	+	+	SYM
cana-1518	302	7	2	2	NUM
cana-1518	302	8	5.3	5.3	NUM
cana-1518	302	9	0.52	0.52	NUM
cana-1518	302	10	0.58	0.58	NUM
cana-1518	302	11	0.16	0.16	NUM
cana-1518	302	12	-0.899416	-0.899416	NOUN
cana-1518	302	13	0.776628	0.776628	NUM
cana-1518	302	14	-0.173999	-0.173999	NOUN
cana-1518	302	15	0.8	0.8	NUM
cana-1518	302	16	4	4	NUM
cana-1518	302	17	65	65	NUM
cana-1518	302	18	+	+	SYM
cana-1518	302	19	2	2	NUM
cana-1518	302	20	5.3	5.3	NUM
cana-1518	302	21	0.52	0.52	NUM
cana-1518	302	22	0.58	0.58	NUM
cana-1518	302	23	-0.31	-0.31	NUM
cana-1518	302	24	-0.899416	-0.899416	NOUN
cana-1518	302	25	0.798998	0.798998	NUM
cana-1518	302	26	-0.179749	-0.179749	NOUN
cana-1518	302	27	0.8	0.8	NUM
cana-1518	302	28	4	4	NUM
cana-1518	302	29	65	65	NUM
cana-1518	302	30	+	+	SYM
cana-1518	302	31	2	2	NUM
cana-1518	302	32	5.3	5.3	NUM
cana-1518	302	33	0.52	0.52	NUM
cana-1518	302	34	0.55	0.55	NUM
cana-1518	302	35	-0.51	-0.51	NOUN
cana-1518	302	36	-0.869416	-0.869416	NOUN
cana-1518	303	1	0.809242	0.809242	NUM
cana-1518	303	2	-0.182373	-0.182373	PROPN
cana-1518	303	3	0.8	0.8	NUM
cana-1518	303	4	4	4	NUM
cana-1518	303	5	65	65	NUM
cana-1518	303	6	+	+	SYM
cana-1518	303	7	2	2	NUM
cana-1518	303	8	5.3	5.3	NUM
cana-1518	303	9	0.52	0.52	NUM
cana-1518	303	10	0.55	0.55	NUM
cana-1518	303	11	0.33	0.33	NUM
cana-1518	303	12	-0.889416	-0.889416	NOUN
cana-1518	303	13	0.864391	0.864391	NUM
cana-1518	303	14	-0.170847	-0.170847	NOUN
cana-1518	303	15	0.8	0.8	NUM
cana-1518	303	16	4	4	NUM
cana-1518	303	17	65	65	NUM
cana-1518	303	18	+	+	SYM
cana-1518	303	19	2	2	NUM
cana-1518	303	20	5.3	5.3	NUM
cana-1518	303	21	0.52	0.52	NUM
cana-1518	303	22	0.56	0.56	NUM
cana-1518	303	23	0.53	0.53	NUM
cana-1518	303	24	-0.899416	-0.899416	NOUN
cana-1518	303	25	0.851370	0.851370	NUM
cana-1518	303	26	-0.167498	-0.167498	NOUN
cana-1518	303	27	table	table	NOUN
cana-1518	303	28	3	3	NUM
cana-1518	303	29	:	:	PUNCT
cana-1518	303	30	computation	computation	NOUN
cana-1518	303	31	of	of	ADP
cana-1518	303	32	(	(	PUNCT
cana-1518	303	33	1	1	NUM
cana-1518	303	34	+	+	SYM
cana-1518	303	35	1	1	NUM
cana-1518	303	36	𝛽	𝛽	NOUN
cana-1518	303	37	)	)	PUNCT
cana-1518	303	38	𝑓′′(0	𝑓′′(0	NOUN
cana-1518	303	39	)	)	PUNCT
cana-1518	303	40	and	and	CCONJ
cana-1518	303	41	(	(	PUNCT
cana-1518	303	42	1	1	NUM
cana-1518	303	43	+	+	NUM
cana-1518	303	44	4	4	NUM
cana-1518	303	45	3	3	NUM
cana-1518	303	46	)	)	PUNCT
cana-1518	303	47	𝜃′(0	𝜃′(0	NOUN
cana-1518	303	48	)	)	PUNCT
cana-1518	303	49	when	when	SCONJ
cana-1518	303	50	.	.	PUNCT
cana-1518	304	1	m	m	VERB
cana-1518	305	1	=	=	VERB
cana-1518	305	2	kp	kp	X
cana-1518	305	3	=	=	SYM
cana-1518	305	4	nb	nb	PROPN
cana-1518	306	1	=	=	NOUN
cana-1518	306	2	nt	not	PART
cana-1518	306	3	=	=	NOUN
cana-1518	306	4	bi	bi	NOUN
cana-1518	306	5	=	=	NOUN
cana-1518	306	6	0:5	0:5	NUM
cana-1518	306	7	;	;	PUNCT
cana-1518	306	8	pr	pr	NOUN
cana-1518	306	9	=	=	SYM
cana-1518	306	10	10;ec	10;ec	NUM
cana-1518	306	11	=	=	SYM
cana-1518	306	12	0:8	0:8	NUM
cana-1518	306	13	:	:	PUNCT
cana-1518	306	14	4	4	NUM
cana-1518	306	15	.	.	NOUN
cana-1518	306	16	parametric	parametric	ADJ
cana-1518	306	17	influence	influence	NOUN
cana-1518	306	18	on	on	ADP
cana-1518	306	19	fluid	fluid	ADJ
cana-1518	306	20	flow	flow	NOUN
cana-1518	306	21	these	these	DET
cana-1518	306	22	transformations	transformation	NOUN
cana-1518	306	23	of	of	ADP
cana-1518	306	24	the	the	DET
cana-1518	306	25	governing	govern	VERB
cana-1518	306	26	equations	equation	NOUN
cana-1518	306	27	into	into	ADP
cana-1518	306	28	similarity	similarity	NOUN
cana-1518	306	29	variables	variable	NOUN
cana-1518	306	30	illustrate	illustrate	VERB
cana-1518	306	31	detail	detail	NOUN
cana-1518	306	32	interactions	interaction	NOUN
cana-1518	306	33	b	b	X
cana-1518	306	34	/	/	SYM
cana-1518	306	35	n	n	CCONJ
cana-1518	306	36	physical	physical	ADJ
cana-1518	306	37	parameters	parameter	NOUN
cana-1518	306	38	,	,	PUNCT
cana-1518	306	39	that	that	PRON
cana-1518	306	40	influences	influence	VERB
cana-1518	306	41	fluid	fluid	ADJ
cana-1518	306	42	flow	flow	NOUN
cana-1518	306	43	.	.	PUNCT
cana-1518	307	1	the	the	DET
cana-1518	307	2	magnetic	magnetic	ADJ
cana-1518	307	3	field	field	NOUN
cana-1518	307	4	implements	implement	VERB
cana-1518	307	5	a	a	DET
cana-1518	307	6	drag	drag	NOUN
cana-1518	307	7	force	force	NOUN
cana-1518	307	8	responsible	responsible	ADJ
cana-1518	307	9	for	for	ADP
cana-1518	307	10	reduced	reduced	ADJ
cana-1518	307	11	velocity	velocity	NOUN
cana-1518	307	12	profiles	profile	NOUN
cana-1518	307	13	in	in	ADP
cana-1518	307	14	the	the	DET
cana-1518	307	15	boundary	boundary	ADJ
cana-1518	307	16	layer	layer	NOUN
cana-1518	307	17	,	,	PUNCT
cana-1518	307	18	while	while	SCONJ
cana-1518	307	19	it	it	PRON
cana-1518	307	20	also	also	ADV
cana-1518	307	21	leads	lead	VERB
cana-1518	307	22	to	to	ADP
cana-1518	307	23	an	an	DET
cana-1518	307	24	increased	increase	VERB
cana-1518	307	25	thermal	thermal	ADJ
cana-1518	307	26	boundary	boundary	ADJ
cana-1518	307	27	-	-	PUNCT
cana-1518	307	28	layer	layer	NOUN
cana-1518	307	29	due	due	ADP
cana-1518	307	30	to	to	ADP
cana-1518	307	31	enhanced	enhanced	ADJ
cana-1518	307	32	frictional	frictional	ADJ
cana-1518	307	33	heating	heating	NOUN
cana-1518	307	34	caused	cause	VERB
cana-1518	307	35	by	by	ADP
cana-1518	307	36	the	the	DET
cana-1518	307	37	retarded	retarded	ADJ
cana-1518	307	38	flow	flow	NOUN
cana-1518	307	39	.	.	PUNCT
cana-1518	308	1	this	this	PRON
cana-1518	308	2	leads	lead	VERB
cana-1518	308	3	to	to	ADP
cana-1518	308	4	a	a	DET
cana-1518	308	5	denser	dense	ADJ
cana-1518	308	6	thermal	thermal	ADJ
cana-1518	308	7	boundary	boundary	ADJ
cana-1518	308	8	layer	layer	NOUN
cana-1518	308	9	,	,	PUNCT
cana-1518	308	10	which	which	PRON
cana-1518	308	11	affects	affect	VERB
cana-1518	308	12	heat	heat	NOUN
cana-1518	308	13	transfer	transfer	NOUN
cana-1518	308	14	in	in	ADP
cana-1518	308	15	addition	addition	NOUN
cana-1518	308	16	implementing	implement	VERB
cana-1518	308	17	mass	mass	NOUN
cana-1518	308	18	transfer	transfer	NOUN
cana-1518	308	19	communications	communication	NOUN
cana-1518	308	20	on	on	ADP
cana-1518	308	21	applied	apply	VERB
cana-1518	308	22	nonlinear	nonlinear	ADJ
cana-1518	308	23	analysis	analysis	NOUN
cana-1518	308	24	issn	issn	NOUN
cana-1518	308	25	:	:	PUNCT
cana-1518	308	26	1074	1074	NUM
cana-1518	308	27	-	-	PUNCT
cana-1518	308	28	133x	133x	NUM
cana-1518	308	29	vol	vol	NOUN
cana-1518	308	30	31	31	NUM
cana-1518	308	31	no	no	NOUN
cana-1518	308	32	.	.	PUNCT
cana-1518	309	1	8s	8s	PROPN
cana-1518	309	2	(	(	PUNCT
cana-1518	309	3	2024	2024	NUM
cana-1518	309	4	)	)	PUNCT
cana-1518	309	5	392	392	NUM
cana-1518	309	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	309	7	processes	process	NOUN
cana-1518	309	8	.	.	PUNCT
cana-1518	310	1	for	for	ADP
cana-1518	310	2	the	the	DET
cana-1518	310	3	casson	casson	PROPN
cana-1518	310	4	fluid	fluid	PROPN
cana-1518	310	5	model	model	NOUN
cana-1518	310	6	,	,	PUNCT
cana-1518	310	7	represented	represent	VERB
cana-1518	310	8	by	by	ADP
cana-1518	310	9	parameter	parameter	NOUN
cana-1518	310	10	(	(	PUNCT
cana-1518	310	11	β	β	PROPN
cana-1518	310	12	)	)	PUNCT
cana-1518	310	13	,	,	PUNCT
cana-1518	310	14	it	it	PRON
cana-1518	310	15	is	be	AUX
cana-1518	310	16	shown	show	VERB
cana-1518	310	17	that	that	SCONJ
cana-1518	310	18	higher	high	ADJ
cana-1518	310	19	values	value	NOUN
cana-1518	310	20	of	of	ADP
cana-1518	310	21	(	(	PUNCT
cana-1518	310	22	β	β	NOUN
cana-1518	310	23	)	)	PUNCT
cana-1518	310	24	lead	lead	VERB
cana-1518	310	25	to	to	ADP
cana-1518	310	26	lower	low	ADJ
cana-1518	310	27	viscosities	viscosity	NOUN
cana-1518	310	28	which	which	PRON
cana-1518	310	29	leads	lead	VERB
cana-1518	310	30	in	in	ADP
cana-1518	310	31	turn	turn	NOUN
cana-1518	310	32	enhanced	enhance	VERB
cana-1518	310	33	heat	heat	NOUN
cana-1518	310	34	and	and	CCONJ
cana-1518	310	35	mass	mass	NOUN
cana-1518	310	36	transfer	transfer	NOUN
cana-1518	310	37	rates	rate	NOUN
cana-1518	310	38	.	.	PUNCT
cana-1518	311	1	moreover	moreover	ADV
cana-1518	311	2	,	,	PUNCT
cana-1518	311	3	the	the	DET
cana-1518	311	4	simultaneous	simultaneous	ADJ
cana-1518	311	5	impacts	impact	NOUN
cana-1518	311	6	of	of	ADP
cana-1518	311	7	brownian	brownian	ADJ
cana-1518	311	8	thermophoresis	thermophoresis	NOUN
cana-1518	311	9	and	and	CCONJ
cana-1518	311	10	motion	motion	NOUN
cana-1518	311	11	play	play	VERB
cana-1518	311	12	a	a	DET
cana-1518	311	13	major	major	ADJ
cana-1518	311	14	role	role	NOUN
cana-1518	311	15	in	in	ADP
cana-1518	311	16	nanoparticle	nanoparticle	NOUN
cana-1518	311	17	concentration	concentration	NOUN
cana-1518	311	18	distribution	distribution	NOUN
cana-1518	311	19	.	.	PUNCT
cana-1518	312	1	the	the	DET
cana-1518	312	2	sherwood	sherwood	PROPN
cana-1518	312	3	number	number	NOUN
cana-1518	312	4	shows	show	VERB
cana-1518	312	5	that	that	SCONJ
cana-1518	312	6	binary	binary	ADJ
cana-1518	312	7	diffusion	diffusion	NOUN
cana-1518	312	8	is	be	AUX
cana-1518	312	9	becoming	become	VERB
cana-1518	312	10	more	more	ADV
cana-1518	312	11	pronounced	pronounce	VERB
cana-1518	312	12	as	as	ADP
cana-1518	312	13	n	n	PROPN
cana-1518	312	14	t	t	PROPN
cana-1518	312	15	/n	/n	PUNCT
cana-1518	313	1	b	b	NOUN
cana-1518	313	2	increases	increase	NOUN
cana-1518	313	3	.	.	PUNCT
cana-1518	314	1	this	this	PRON
cana-1518	314	2	leads	lead	VERB
cana-1518	314	3	on	on	ADP
cana-1518	314	4	the	the	DET
cana-1518	314	5	one	one	NUM
cana-1518	314	6	hand	hand	NOUN
cana-1518	314	7	to	to	ADP
cana-1518	314	8	an	an	DET
cana-1518	314	9	easier	easy	ADJ
cana-1518	314	10	thermophoretic	thermophoretic	ADJ
cana-1518	314	11	driving	driving	NOUN
cana-1518	314	12	(	(	PUNCT
cana-1518	314	13	towards	towards	ADP
cana-1518	314	14	a	a	DET
cana-1518	314	15	cooler	cooler	ADJ
cana-1518	314	16	region	region	NOUN
cana-1518	314	17	)	)	PUNCT
cana-1518	314	18	by	by	ADP
cana-1518	314	19	increasing	increase	VERB
cana-1518	314	20	with	with	ADP
cana-1518	314	21	t	t	PROPN
cana-1518	314	22	,	,	PUNCT
cana-1518	314	23	while	while	SCONJ
cana-1518	314	24	stronger	strong	ADJ
cana-1518	314	25	brownian	brownian	ADJ
cana-1518	314	26	motion	motion	NOUN
cana-1518	314	27	will	will	AUX
cana-1518	314	28	enhance	enhance	VERB
cana-1518	314	29	diffusion	diffusion	NOUN
cana-1518	314	30	.	.	PUNCT
cana-1518	315	1	these	these	DET
cana-1518	315	2	results	result	NOUN
cana-1518	315	3	emphasize	emphasize	VERB
cana-1518	315	4	the	the	DET
cana-1518	315	5	intricate	intricate	ADJ
cana-1518	315	6	interplay	interplay	NOUN
cana-1518	315	7	among	among	ADP
cana-1518	315	8	magnetic	magnetic	ADJ
cana-1518	315	9	effects	effect	NOUN
cana-1518	315	10	,	,	PUNCT
cana-1518	315	11	fluid	fluid	ADJ
cana-1518	315	12	rheology	rheology	NOUN
cana-1518	315	13	and	and	CCONJ
cana-1518	315	14	nanoparticle	nanoparticle	NOUN
cana-1518	315	15	dynamics	dynamic	NOUN
cana-1518	315	16	in	in	ADP
cana-1518	315	17	contributing	contribute	VERB
cana-1518	315	18	towards	towards	ADP
cana-1518	315	19	effective	effective	ADJ
cana-1518	315	20	heat	heat	NOUN
cana-1518	315	21	/	/	SYM
cana-1518	315	22	mass	mass	NOUN
cana-1518	315	23	transfer	transfer	NOUN
cana-1518	315	24	attributes	attribute	NOUN
cana-1518	315	25	of	of	ADP
cana-1518	315	26	the	the	DET
cana-1518	315	27	flow	flow	NOUN
cana-1518	315	28	.	.	PUNCT
cana-1518	316	1	figure	figure	NOUN
cana-1518	316	2	2	2	NUM
cana-1518	316	3	.	.	PUNCT
cana-1518	316	4	flow	flow	NOUN
cana-1518	316	5	geometry	geometry	NOUN
cana-1518	316	6	.	.	PUNCT
cana-1518	317	1	the	the	DET
cana-1518	317	2	fluid	fluid	ADJ
cana-1518	317	3	flow	flow	NOUN
cana-1518	317	4	and	and	CCONJ
cana-1518	317	5	heat	heat	NOUN
cana-1518	317	6	transfer	transfer	NOUN
cana-1518	317	7	over	over	ADP
cana-1518	317	8	a	a	DET
cana-1518	317	9	linearly	linearly	ADV
cana-1518	317	10	stretching	stretch	VERB
cana-1518	317	11	plate	plate	NOUN
cana-1518	317	12	has	have	AUX
cana-1518	317	13	been	be	AUX
cana-1518	317	14	analyzed	analyze	VERB
cana-1518	317	15	under	under	ADP
cana-1518	317	16	various	various	ADJ
cana-1518	317	17	boundary	boundary	ADJ
cana-1518	317	18	conditions	condition	NOUN
cana-1518	317	19	as	as	SCONJ
cana-1518	317	20	they	they	PRON
cana-1518	317	21	are	be	AUX
cana-1518	317	22	very	very	ADV
cana-1518	317	23	much	much	ADV
cana-1518	317	24	essential	essential	ADJ
cana-1518	317	25	to	to	PART
cana-1518	317	26	describe	describe	VERB
cana-1518	317	27	the	the	DET
cana-1518	317	28	physical	physical	ADJ
cana-1518	317	29	system	system	NOUN
cana-1518	317	30	of	of	ADP
cana-1518	317	31	interest	interest	NOUN
cana-1518	317	32	.	.	PUNCT
cana-1518	318	1	physical	physical	ADJ
cana-1518	318	2	velocity	velocity	NOUN
cana-1518	318	3	at	at	ADP
cana-1518	318	4	the	the	DET
cana-1518	318	5	plate	plate	NOUN
cana-1518	318	6	surface	surface	NOUN
cana-1518	318	7	(	(	PUNCT
cana-1518	318	8	(	(	PUNCT
cana-1518	318	9	y	y	NOUN
cana-1518	318	10	=	=	NOUN
cana-1518	318	11	0	0	NUM
cana-1518	318	12	)	)	PUNCT
cana-1518	318	13	)	)	PUNCT
cana-1518	318	14	is	be	AUX
cana-1518	318	15	explicitly	explicitly	ADV
cana-1518	318	16	taken	take	VERB
cana-1518	318	17	to	to	PART
cana-1518	318	18	be	be	AUX
cana-1518	318	19	(	(	PUNCT
cana-1518	318	20	u	u	NOUN
cana-1518	318	21	=	=	PROPN
cana-1518	318	22	uw	uw	NOUN
cana-1518	318	23	=	=	NOUN
cana-1518	318	24	ax	ax	NOUN
cana-1518	318	25	)	)	PUNCT
cana-1518	318	26	in	in	ADP
cana-1518	318	27	a	a	DET
cana-1518	318	28	linear	linear	ADJ
cana-1518	318	29	stretching	stretching	NOUN
cana-1518	318	30	of	of	ADP
cana-1518	318	31	the	the	DET
cana-1518	318	32	plate	plate	NOUN
cana-1518	318	33	such	such	ADJ
cana-1518	318	34	that	that	SCONJ
cana-1518	318	35	fthe	fthe	ADJ
cana-1518	318	36	local	local	ADJ
cana-1518	318	37	velocity	velocity	NOUN
cana-1518	318	38	grows	grow	VERB
cana-1518	318	39	uniformly	uniformly	ADV
cana-1518	318	40	with	with	ADP
cana-1518	318	41	distance	distance	NOUN
cana-1518	318	42	away	away	ADV
cana-1518	318	43	from	from	ADP
cana-1518	318	44	origin	origin	NOUN
cana-1518	318	45	.	.	PUNCT
cana-1518	319	1	this	this	DET
cana-1518	319	2	linear	linear	ADJ
cana-1518	319	3	profile	profile	NOUN
cana-1518	319	4	has	have	VERB
cana-1518	319	5	a	a	DET
cana-1518	319	6	stretching	stretch	VERB
cana-1518	319	7	rate	rate	NOUN
cana-1518	319	8	(	(	PUNCT
cana-1518	319	9	a	a	NOUN
cana-1518	319	10	)	)	PUNCT
cana-1518	319	11	so	so	SCONJ
cana-1518	319	12	that	that	SCONJ
cana-1518	319	13	the	the	DET
cana-1518	319	14	fluid	fluid	ADJ
cana-1518	319	15	sticks	stick	NOUN
cana-1518	319	16	to	to	PART
cana-1518	319	17	plate	plate	VERB
cana-1518	319	18	stretch	stretch	NOUN
cana-1518	319	19	momentum	momentum	NOUN
cana-1518	319	20	.	.	PUNCT
cana-1518	320	1	moreover	moreover	ADV
cana-1518	320	2	,	,	PUNCT
cana-1518	320	3	the	the	DET
cana-1518	320	4	condition	condition	NOUN
cana-1518	320	5	v	v	ADP
cana-1518	320	6	=	=	SYM
cana-1518	320	7	0	0	NUM
cana-1518	320	8	at	at	ADP
cana-1518	320	9	y=0	y=0	NOUN
cana-1518	320	10	implies	imply	VERB
cana-1518	320	11	that	that	SCONJ
cana-1518	320	12	the	the	DET
cana-1518	320	13	plate	plate	NOUN
cana-1518	320	14	is	be	AUX
cana-1518	320	15	impermeable	impermeable	ADJ
cana-1518	320	16	(	(	PUNCT
cana-1518	320	17	i.e.	i.e.	X
cana-1518	320	18	,	,	PUNCT
cana-1518	320	19	there	there	PRON
cana-1518	320	20	is	be	VERB
cana-1518	320	21	no	no	DET
cana-1518	320	22	occur	occur	NOUN
cana-1518	320	23	of	of	ADP
cana-1518	320	24	fluid	fluid	ADJ
cana-1518	320	25	flow	flow	NOUN
cana-1518	320	26	in	in	ADP
cana-1518	320	27	normal	normal	ADJ
cana-1518	320	28	to	to	PART
cana-1518	320	29	plate	plate	VERB
cana-1518	320	30	surface	surface	NOUN
cana-1518	320	31	and	and	CCONJ
cana-1518	320	32	hence	hence	ADV
cana-1518	320	33	prevent	prevent	VERB
cana-1518	320	34	any	any	DET
cana-1518	320	35	actuation	actuation	NOUN
cana-1518	320	36	into	into	ADP
cana-1518	320	37	a	a	DET
cana-1518	320	38	course	course	NOUN
cana-1518	320	39	regular	regular	ADJ
cana-1518	320	40	with	with	ADP
cana-1518	320	41	fluid	fluid	NOUN
cana-1518	320	42	)	)	PUNCT
cana-1518	320	43	.	.	PUNCT
cana-1518	321	1	in	in	ADP
cana-1518	321	2	heat	heat	NOUN
cana-1518	321	3	transfer	transfer	NOUN
cana-1518	321	4	the	the	DET
cana-1518	321	5	boundary	boundary	ADJ
cana-1518	321	6	condition	condition	NOUN
cana-1518	321	7	is	be	AUX
cana-1518	321	8	with	with	ADP
cana-1518	321	9	conduction	conduction	NOUN
cana-1518	321	10	governed	govern	VERB
cana-1518	321	11	by	by	ADP
cana-1518	321	12	,	,	PUNCT
cana-1518	321	13	where	where	SCONJ
cana-1518	321	14	(	(	PUNCT
cana-1518	321	15	k	k	NOUN
cana-1518	321	16	)	)	PUNCT
cana-1518	321	17	thermal	thermal	ADJ
cana-1518	321	18	conductivity	conductivity	NOUN
cana-1518	321	19	of	of	ADP
cana-1518	321	20	plate	plate	NOUN
cana-1518	321	21	material	material	NOUN
cana-1518	321	22	and	and	CCONJ
cana-1518	321	23	(	(	PUNCT
cana-1518	321	24	q	q	PROPN
cana-1518	321	25	)	)	PUNCT
cana-1518	321	26	,	,	PUNCT
cana-1518	321	27	entering	enter	VERB
cana-1518	321	28	or	or	CCONJ
cana-1518	321	29	leaving	leave	VERB
cana-1518	321	30	to	to	ADP
cana-1518	321	31	a	a	DET
cana-1518	321	32	steel	steel	NOUN
cana-1518	321	33	flux	flux	NOUN
cana-1518	321	34	.	.	PUNCT
cana-1518	322	1	this	this	DET
cana-1518	322	2	property	property	NOUN
cana-1518	322	3	ensures	ensure	VERB
cana-1518	322	4	that	that	SCONJ
cana-1518	322	5	we	we	PRON
cana-1518	322	6	still	still	ADV
cana-1518	322	7	enforce	enforce	VERB
cana-1518	322	8	the	the	DET
cana-1518	322	9	proper	proper	ADJ
cana-1518	322	10	heat	heat	NOUN
cana-1518	322	11	conduction	conduction	NOUN
cana-1518	322	12	rate	rate	NOUN
cana-1518	322	13	at	at	ADP
cana-1518	322	14	the	the	DET
cana-1518	322	15	surface	surface	NOUN
cana-1518	322	16	,	,	PUNCT
cana-1518	322	17	which	which	PRON
cana-1518	322	18	in	in	ADP
cana-1518	322	19	turn	turn	NOUN
cana-1518	322	20	gives	give	VERB
cana-1518	322	21	a	a	DET
cana-1518	322	22	physically	physically	ADV
cana-1518	322	23	realistic	realistic	ADJ
cana-1518	322	24	model	model	NOUN
cana-1518	322	25	for	for	ADP
cana-1518	322	26	how	how	SCONJ
cana-1518	322	27	heat	heat	NOUN
cana-1518	322	28	is	be	AUX
cana-1518	322	29	entering	enter	VERB
cana-1518	322	30	or	or	CCONJ
cana-1518	322	31	leaving	leave	VERB
cana-1518	322	32	our	our	PRON
cana-1518	322	33	plate	plate	NOUN
cana-1518	322	34	.	.	PUNCT
cana-1518	323	1	both	both	CCONJ
cana-1518	323	2	these	these	DET
cana-1518	323	3	boundary	boundary	ADJ
cana-1518	323	4	conditions	condition	NOUN
cana-1518	323	5	together	together	ADV
cana-1518	323	6	legitimately	legitimately	ADV
cana-1518	323	7	define	define	VERB
cana-1518	323	8	the	the	DET
cana-1518	323	9	stretching	stretch	VERB
cana-1518	323	10	behavior	behavior	NOUN
cana-1518	323	11	of	of	ADP
cana-1518	323	12	a	a	DET
cana-1518	323	13	plate	plate	NOUN
cana-1518	323	14	,	,	PUNCT
cana-1518	323	15	impermeability	impermeability	NOUN
cana-1518	323	16	in	in	ADP
cana-1518	323	17	normal	normal	ADJ
cana-1518	323	18	direction	direction	NOUN
cana-1518	323	19	and	and	CCONJ
cana-1518	323	20	heat	heat	NOUN
cana-1518	323	21	transfer	transfer	NOUN
cana-1518	323	22	processes	process	NOUN
cana-1518	323	23	at	at	ADP
cana-1518	323	24	surface	surface	NOUN
cana-1518	323	25	cu	cu	PROPN
cana-1518	323	26	-	-	PUNCT
cana-1518	323	27	water	water	PROPN
cana-1518	323	28	ag	ag	PROPN
cana-1518	323	29	-	-	PUNCT
cana-1518	323	30	water	water	NOUN
cana-1518	323	31	m	m	PROPN
cana-1518	323	32	ɸ	ɸ	NOUN
cana-1518	324	1	[	[	X
cana-1518	324	2	39	39	NUM
cana-1518	324	3	]	]	PUNCT
cana-1518	324	4	present	present	NOUN
cana-1518	324	5	[	[	X
cana-1518	324	6	39	39	NUM
cana-1518	324	7	]	]	PUNCT
cana-1518	324	8	present	present	ADJ
cana-1518	324	9	0	0	NUM
cana-1518	325	1	0.05	0.05	NUM
cana-1518	325	2	1.10892	1.10892	NUM
cana-1518	325	3	1.1089	1.1089	NUM
cana-1518	325	4	1.13966	1.13966	NUM
cana-1518	325	5	1.1397	1.1397	NUM
cana-1518	325	6	0.1	0.1	NUM
cana-1518	325	7	1.17475	1.17475	NUM
cana-1518	325	8	1.1747	1.1747	NUM
cana-1518	325	9	1.22507	1.22507	NUM
cana-1518	325	10	1.2251	1.2251	NUM
cana-1518	325	11	0.15	0.15	NUM
cana-1518	325	12	1.20886	1.20886	NUM
cana-1518	325	13	1.2089	1.2089	NUM
cana-1518	325	14	1.27215	1.27215	NUM
cana-1518	325	15	1.2722	1.2722	NUM
cana-1518	325	16	0.2	0.2	NUM
cana-1518	325	17	1.21804	1.21804	NUM
cana-1518	325	18	1.2180	1.2180	NUM
cana-1518	325	19	1.28979	1.28979	NUM
cana-1518	325	20	1.2898	1.2898	NUM
cana-1518	325	21	communications	communication	NOUN
cana-1518	325	22	on	on	ADP
cana-1518	325	23	applied	apply	VERB
cana-1518	325	24	nonlinear	nonlinear	ADJ
cana-1518	325	25	analysis	analysis	NOUN
cana-1518	325	26	issn	issn	NOUN
cana-1518	325	27	:	:	PUNCT
cana-1518	325	28	1074	1074	NUM
cana-1518	325	29	-	-	PUNCT
cana-1518	325	30	133x	133x	NUM
cana-1518	325	31	vol	vol	NOUN
cana-1518	325	32	31	31	NUM
cana-1518	325	33	no	no	NOUN
cana-1518	325	34	.	.	PUNCT
cana-1518	326	1	8s	8s	PROPN
cana-1518	326	2	(	(	PUNCT
cana-1518	326	3	2024	2024	NUM
cana-1518	326	4	)	)	PUNCT
cana-1518	326	5	393	393	NUM
cana-1518	326	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	326	7	0.5	0.5	NUM
cana-1518	326	8	0.05	0.05	NUM
cana-1518	326	9	1.29210	1.29210	NUM
cana-1518	326	10	1.2921	1.2921	NUM
cana-1518	326	11	1.31858	1.31858	NUM
cana-1518	326	12	1.3186	1.3186	NUM
cana-1518	326	13	0.1	0.1	NUM
cana-1518	326	14	1.32825	1.32825	NUM
cana-1518	326	15	1.3282	1.3282	NUM
cana-1518	326	16	1.37296	1.37296	NUM
cana-1518	326	17	1.3730	1.3730	NUM
cana-1518	326	18	0.15	0.15	NUM
cana-1518	326	19	1.33955	1.33955	NUM
cana-1518	326	20	1.3396	1.3396	NUM
cana-1518	326	21	1.39694	1.39694	NUM
cana-1518	326	22	1.3969	1.3969	NUM
cana-1518	326	23	0.2	0.2	NUM
cana-1518	326	24	1.33036	1.33036	NUM
cana-1518	326	25	1.3304	1.3304	NUM
cana-1518	326	26	1.39634	1.39634	NUM
cana-1518	327	1	1.3963	1.3963	NUM
cana-1518	327	2	1	1	NUM
cana-1518	327	3	0.05	0.05	NUM
cana-1518	327	4	1.45236	1.45236	NUM
cana-1518	327	5	1.4524	1.4524	NUM
cana-1518	327	6	1.47597	1.47597	NUM
cana-1518	327	7	1.4760	1.4760	NUM
cana-1518	327	8	0.1	0.1	NUM
cana-1518	327	9	1.46576	1.46576	NUM
cana-1518	327	10	1.4658	1.4658	NUM
cana-1518	327	11	1.50640	1.50640	NUM
cana-1518	327	12	1.5064	1.5064	NUM
cana-1518	327	13	0.15	0.15	NUM
cana-1518	327	14	1.45858	1.45858	NUM
cana-1518	327	15	1.4586	1.4586	NUM
cana-1518	327	16	1.51145	1.51145	NUM
cana-1518	327	17	1.5115	1.5115	NUM
cana-1518	327	18	0.2	0.2	NUM
cana-1518	327	19	1.43390	1.43390	NUM
cana-1518	327	20	1.4339	1.4339	NUM
cana-1518	327	21	1.49532	1.49532	NUM
cana-1518	327	22	1.4953	1.4953	NUM
cana-1518	327	23	2	2	NUM
cana-1518	327	24	0.05	0.05	NUM
cana-1518	327	25	1.72887	1.72887	NUM
cana-1518	327	26	1.7289	1.7289	NUM
cana-1518	327	27	1.74875	1.74875	NUM
cana-1518	327	28	1.7487	1.7487	NUM
cana-1518	327	29	0.1	0.1	NUM
cana-1518	327	30	1.70789	1.70789	NUM
cana-1518	327	31	1.7079	1.7079	NUM
cana-1518	327	32	1.74289	1.74289	NUM
cana-1518	327	33	1.7429	1.7429	NUM
cana-1518	327	34	0.15	0.15	NUM
cana-1518	327	35	1.67140	1.67140	NUM
cana-1518	327	36	1.6714	1.6714	NUM
cana-1518	327	37	1.71773	1.71773	NUM
cana-1518	327	38	1.7177	1.7177	NUM
cana-1518	327	39	0.2	0.2	NUM
cana-1518	327	40	1.62126	1.62126	NUM
cana-1518	327	41	1.6213	1.6213	NUM
cana-1518	327	42	1.67583	1.67583	NUM
cana-1518	327	43	1.6758	1.6758	NUM
cana-1518	327	44	table	table	NOUN
cana-1518	327	45	4	4	NUM
cana-1518	327	46	:	:	PUNCT
cana-1518	327	47	the	the	DET
cana-1518	327	48	skin	skin	NOUN
cana-1518	327	49	friction	friction	NOUN
cana-1518	327	50	coefficient	coefficient	NOUN
cana-1518	327	51	–	–	PUNCT
cana-1518	327	52	𝑓′′(0)for	𝑓′′(0)for	ADP
cana-1518	327	53	various	various	ADJ
cana-1518	327	54	values	value	NOUN
cana-1518	327	55	of	of	ADP
cana-1518	327	56	m	m	PROPN
cana-1518	327	57	and	and	CCONJ
cana-1518	327	58	ɸ	ɸ	PROPN
cana-1518	327	59	when	when	SCONJ
cana-1518	327	60	pr	pr	NOUN
cana-1518	327	61	=	=	NOUN
cana-1518	327	62	6.2	6.2	NUM
cana-1518	327	63	with	with	ADP
cana-1518	327	64	hamad	hamad	PROPN
cana-1518	327	65	[	[	X
cana-1518	327	66	31	31	NUM
cana-1518	327	67	}	}	PUNCT
cana-1518	327	68	figure	figure	NOUN
cana-1518	327	69	3	3	NUM
cana-1518	327	70	:	:	PUNCT
cana-1518	327	71	and	and	CCONJ
cana-1518	327	72	d	d	NOUN
cana-1518	327	73	shows	show	VERB
cana-1518	327	74	the	the	DET
cana-1518	327	75	influence	influence	NOUN
cana-1518	327	76	of	of	ADP
cana-1518	327	77	sr	sr	PROPN
cana-1518	327	78	on	on	ADP
cana-1518	327	79	rate	rate	NOUN
cana-1518	327	80	of	of	ADP
cana-1518	327	81	mass	mass	ADJ
cana-1518	327	82	transfer	transfer	NOUN
cana-1518	327	83	—	—	PUNCT
cana-1518	327	84	h′(0	h′(0	NOUN
cana-1518	327	85	)	)	PUNCT
cana-1518	327	86	for	for	ADP
cana-1518	327	87	cu	cu	NOUN
cana-1518	327	88	-	-	PUNCT
cana-1518	327	89	water	water	PROPN
cana-1518	327	90	and	and	CCONJ
cana-1518	327	91	ag	ag	PROPN
cana-1518	327	92	water	water	NOUN
cana-1518	327	93	nanofluids	nanofluid	NOUN
cana-1518	327	94	at	at	ADP
cana-1518	327	95	ф	ф	PROPN
cana-1518	327	96	=	=	ADJ
cana-1518	327	97	0.2	0.2	NUM
cana-1518	327	98	,	,	PUNCT
cana-1518	327	99	m	m	VERB
cana-1518	327	100	=	=	ADJ
cana-1518	327	101	pr	pr	NOUN
cana-1518	327	102	=	=	PUNCT
cana-1518	327	103	k1=	k1=	PROPN
cana-1518	327	104	ec=	ec=	INTJ
cana-1518	327	105	γ=	γ=	INTJ
cana-1518	327	106	fw	fw	PROPN
cana-1518	328	1	=	=	NOUN
cana-1518	329	1	yeqwhich	yeqwhich	PRON
cana-1518	329	2	indicates	indicate	VERB
cana-1518	329	3	that	that	SCONJ
cana-1518	329	4	absorbance	absorbance	NOUN
cana-1518	329	5	increases	increase	VERB
cana-1518	329	6	with	with	ADP
cana-1518	329	7	the	the	DET
cana-1518	329	8	increase	increase	NOUN
cana-1518	329	9	in	in	ADP
cana-1518	329	10	schmidt	schmidt	ADJ
cana-1518	329	11	number	number	NOUN
cana-1518	329	12	but	but	CCONJ
cana-1518	329	13	decreases	decrease	NOUN
cana-1518	329	14	as	as	ADP
cana-1518	329	15	negative	negative	ADJ
cana-1518	329	16	impact	impact	NOUN
cana-1518	329	17	is	be	AUX
cana-1518	329	18	enhanced	enhance	VERB
cana-1518	329	19	by	by	ADP
cana-1518	329	20	significant	significant	ADJ
cana-1518	329	21	addition	addition	NOUN
cana-1518	329	22	factor	factor	NOUN
cana-1518	329	23	.	.	PUNCT
cana-1518	330	1	such	such	ADJ
cana-1518	330	2	results	result	NOUN
cana-1518	330	3	emphasize	emphasize	VERB
cana-1518	330	4	the	the	DET
cana-1518	330	5	importance	importance	NOUN
cana-1518	330	6	of	of	ADP
cana-1518	330	7	employing	employ	VERB
cana-1518	330	8	appropriate	appropriate	ADJ
cana-1518	330	9	modelling	modelling	NOUN
cana-1518	330	10	for	for	ADP
cana-1518	330	11	fluid	fluid	ADJ
cana-1518	330	12	flow	flow	NOUN
cana-1518	330	13	and	and	CCONJ
cana-1518	330	14	heat	heat	NOUN
cana-1518	330	15	transfer	transfer	NOUN
cana-1518	330	16	since	since	SCONJ
cana-1518	330	17	it	it	PRON
cana-1518	330	18	has	have	VERB
cana-1518	330	19	a	a	DET
cana-1518	330	20	direct	direct	ADJ
cana-1518	330	21	influence	influence	NOUN
cana-1518	330	22	on	on	ADP
cana-1518	330	23	parameters	parameter	NOUN
cana-1518	330	24	which	which	PRON
cana-1518	330	25	affect	affect	VERB
cana-1518	330	26	performance	performance	NOUN
cana-1518	330	27	in	in	ADP
cana-1518	330	28	engineering	engineering	NOUN
cana-1518	330	29	applications	application	NOUN
cana-1518	330	30	.	.	PUNCT
cana-1518	331	1	their	their	PRON
cana-1518	331	2	discovery	discovery	NOUN
cana-1518	331	3	is	be	AUX
cana-1518	331	4	expected	expect	VERB
cana-1518	331	5	to	to	PART
cana-1518	331	6	have	have	VERB
cana-1518	331	7	major	major	ADJ
cana-1518	331	8	implications	implication	NOUN
cana-1518	331	9	for	for	ADP
cana-1518	331	10	the	the	DET
cana-1518	331	11	design	design	NOUN
cana-1518	331	12	and	and	CCONJ
cana-1518	331	13	operation	operation	NOUN
cana-1518	331	14	of	of	ADP
cana-1518	331	15	industrial	industrial	ADJ
cana-1518	331	16	processes	process	NOUN
cana-1518	331	17	that	that	PRON
cana-1518	331	18	use	use	VERB
cana-1518	331	19	nanofluids	nanofluid	NOUN
cana-1518	331	20	.	.	PUNCT
cana-1518	332	1	in	in	ADP
cana-1518	332	2	the	the	DET
cana-1518	332	3	area	area	NOUN
cana-1518	332	4	of	of	ADP
cana-1518	332	5	cooling	cool	VERB
cana-1518	332	6	technologies	technology	NOUN
cana-1518	332	7	,	,	PUNCT
cana-1518	332	8	where	where	SCONJ
cana-1518	332	9	efficient	efficient	ADJ
cana-1518	332	10	heat	heat	NOUN
cana-1518	332	11	dissipation	dissipation	NOUN
cana-1518	332	12	is	be	AUX
cana-1518	332	13	essential	essential	ADJ
cana-1518	332	14	,	,	PUNCT
cana-1518	332	15	a	a	DET
cana-1518	332	16	better	well	ADJ
cana-1518	332	17	understanding	understanding	NOUN
cana-1518	332	18	how	how	SCONJ
cana-1518	332	19	parameters	parameter	NOUN
cana-1518	332	20	such	such	ADJ
cana-1518	332	21	as	as	ADP
cana-1518	332	22	magnetic	magnetic	ADJ
cana-1518	332	23	fields	field	NOUN
cana-1518	332	24	,	,	PUNCT
cana-1518	332	25	fluid	fluid	ADJ
cana-1518	332	26	viscosity	viscosity	NOUN
cana-1518	332	27	and	and	CCONJ
cana-1518	332	28	nanoparticle	nanoparticle	NOUN
cana-1518	332	29	dynamics	dynamic	NOUN
cana-1518	332	30	modify	modify	VERB
cana-1518	332	31	heat	heat	NOUN
cana-1518	332	32	transfer	transfer	NOUN
cana-1518	332	33	can	can	AUX
cana-1518	332	34	help	help	VERB
cana-1518	332	35	in	in	ADP
cana-1518	332	36	developing	develop	VERB
cana-1518	332	37	more	more	ADV
cana-1518	332	38	effective	effective	ADJ
cana-1518	332	39	systems	system	NOUN
cana-1518	332	40	for	for	ADP
cana-1518	332	41	coolants	coolant	NOUN
cana-1518	332	42	.	.	PUNCT
cana-1518	333	1	in	in	ADP
cana-1518	333	2	a	a	DET
cana-1518	333	3	similar	similar	ADJ
cana-1518	333	4	vein	vein	NOUN
cana-1518	333	5	,	,	PUNCT
cana-1518	333	6	where	where	SCONJ
cana-1518	333	7	mass	mass	NOUN
cana-1518	333	8	transfer	transfer	NOUN
cana-1518	333	9	and	and	CCONJ
cana-1518	333	10	reaction	reaction	NOUN
cana-1518	333	11	rates	rate	NOUN
cana-1518	333	12	are	be	AUX
cana-1518	333	13	of	of	ADP
cana-1518	333	14	paramount	paramount	ADJ
cana-1518	333	15	importance	importance	NOUN
cana-1518	333	16	in	in	ADP
cana-1518	333	17	chemical	chemical	NOUN
cana-1518	333	18	processing	processing	NOUN
cana-1518	333	19	and	and	CCONJ
cana-1518	333	20	materials	material	NOUN
cana-1518	333	21	manufacturing	manufacturing	NOUN
cana-1518	333	22	this	this	DET
cana-1518	333	23	study	study	NOUN
cana-1518	333	24	must	must	AUX
cana-1518	333	25	inform	inform	VERB
cana-1518	333	26	process	process	NOUN
cana-1518	333	27	refinement	refinement	NOUN
cana-1518	333	28	in	in	ADP
cana-1518	333	29	order	order	NOUN
cana-1518	333	30	to	to	PART
cana-1518	333	31	maximize	maximize	VERB
cana-1518	333	32	product	product	NOUN
cana-1518	333	33	quality	quality	NOUN
cana-1518	333	34	.	.	PUNCT
cana-1518	334	1	this	this	DET
cana-1518	334	2	work	work	NOUN
cana-1518	334	3	opens	open	VERB
cana-1518	334	4	up	up	ADP
cana-1518	334	5	further	further	ADJ
cana-1518	334	6	research	research	NOUN
cana-1518	334	7	directions	direction	NOUN
cana-1518	334	8	by	by	ADP
cana-1518	334	9	investigating	investigate	VERB
cana-1518	334	10	the	the	DET
cana-1518	334	11	nonlinear	nonlinear	ADJ
cana-1518	334	12	effects	effect	NOUN
cana-1518	334	13	and	and	CCONJ
cana-1518	334	14	stability	stability	NOUN
cana-1518	334	15	of	of	ADP
cana-1518	334	16	these	these	DET
cana-1518	334	17	flows	flow	NOUN
cana-1518	334	18	,	,	PUNCT
cana-1518	334	19	allowing	allow	VERB
cana-1518	334	20	a	a	DET
cana-1518	334	21	better	well	ADJ
cana-1518	334	22	understanding	understanding	NOUN
cana-1518	334	23	to	to	PART
cana-1518	334	24	be	be	AUX
cana-1518	334	25	gained	gain	VERB
cana-1518	334	26	for	for	ADP
cana-1518	334	27	nanofluidics	nanofluidic	NOUN
cana-1518	334	28	in	in	ADP
cana-1518	334	29	more	more	ADV
cana-1518	334	30	realistic	realistic	ADJ
cana-1518	334	31	conditions	condition	NOUN
cana-1518	334	32	.	.	PUNCT
cana-1518	335	1	examining	examine	VERB
cana-1518	335	2	the	the	DET
cana-1518	335	3	interplay	interplay	NOUN
cana-1518	335	4	among	among	ADP
cana-1518	335	5	these	these	DET
cana-1518	335	6	parameters	parameter	NOUN
cana-1518	335	7	at	at	ADP
cana-1518	335	8	nonlinear	nonlinear	ADJ
cana-1518	335	9	regimes	regime	NOUN
cana-1518	335	10	and	and	CCONJ
cana-1518	335	11	analyzing	analyze	VERB
cana-1518	335	12	the	the	DET
cana-1518	335	13	stability	stability	NOUN
cana-1518	335	14	of	of	ADP
cana-1518	335	15	nanofluids	nanofluid	NOUN
cana-1518	335	16	is	be	AUX
cana-1518	335	17	anticipated	anticipate	VERB
cana-1518	335	18	to	to	PART
cana-1518	335	19	provide	provide	VERB
cana-1518	335	20	new	new	ADJ
cana-1518	335	21	scientific	scientific	ADJ
cana-1518	335	22	information	information	NOUN
cana-1518	335	23	on	on	ADP
cana-1518	335	24	improving	improve	VERB
cana-1518	335	25	performance	performance	NOUN
cana-1518	335	26	and	and	CCONJ
cana-1518	335	27	reliability	reliability	NOUN
cana-1518	335	28	in	in	ADP
cana-1518	335	29	systems	system	NOUN
cana-1518	335	30	employing	employ	VERB
cana-1518	335	31	for	for	ADP
cana-1518	335	32	this	this	DET
cana-1518	335	33	advanced	advanced	ADJ
cana-1518	335	34	technology	technology	NOUN
cana-1518	335	35	.	.	PUNCT
cana-1518	336	1	originality	originality	NOUN
cana-1518	336	2	/	/	SYM
cana-1518	336	3	value	value	NOUN
cana-1518	336	4	—	—	PUNCT
cana-1518	336	5	these	these	DET
cana-1518	336	6	studies	study	NOUN
cana-1518	336	7	can	can	AUX
cana-1518	336	8	serve	serve	VERB
cana-1518	336	9	the	the	DET
cana-1518	336	10	purpose	purpose	NOUN
cana-1518	336	11	of	of	ADP
cana-1518	336	12	contributing	contribute	VERB
cana-1518	336	13	to	to	PART
cana-1518	336	14	further	further	ADJ
cana-1518	336	15	research	research	NOUN
cana-1518	336	16	communications	communication	NOUN
cana-1518	336	17	on	on	ADP
cana-1518	336	18	applied	apply	VERB
cana-1518	336	19	nonlinear	nonlinear	ADJ
cana-1518	336	20	analysis	analysis	NOUN
cana-1518	336	21	issn	issn	NOUN
cana-1518	336	22	:	:	PUNCT
cana-1518	336	23	1074	1074	NUM
cana-1518	336	24	-	-	PUNCT
cana-1518	336	25	133x	133x	NUM
cana-1518	336	26	vol	vol	NOUN
cana-1518	336	27	31	31	NUM
cana-1518	336	28	no	no	NOUN
cana-1518	336	29	.	.	PUNCT
cana-1518	337	1	8s	8s	PROPN
cana-1518	337	2	(	(	PUNCT
cana-1518	337	3	2024	2024	NUM
cana-1518	337	4	)	)	PUNCT
cana-1518	337	5	394	394	NUM
cana-1518	337	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	337	7	and	and	CCONJ
cana-1518	337	8	development	development	NOUN
cana-1518	337	9	in	in	ADP
cana-1518	337	10	this	this	DET
cana-1518	337	11	area	area	NOUN
cana-1518	337	12	as	as	ADV
cana-1518	337	13	well	well	ADV
cana-1518	337	14	as	as	ADP
cana-1518	337	15	help	help	VERB
cana-1518	337	16	designing	design	VERB
cana-1518	337	17	better	well	ADV
cana-1518	337	18	-	-	PUNCT
cana-1518	337	19	working	work	VERB
cana-1518	337	20	industrial	industrial	ADJ
cana-1518	337	21	processes	process	NOUN
cana-1518	337	22	,	,	PUNCT
cana-1518	337	23	leading	lead	VERB
cana-1518	337	24	to	to	ADP
cana-1518	337	25	more	more	ADV
cana-1518	337	26	performant	performant	ADJ
cana-1518	337	27	uses	use	NOUN
cana-1518	337	28	of	of	ADP
cana-1518	337	29	nanofluids	nanofluid	NOUN
cana-1518	337	30	by	by	ADP
cana-1518	337	31	industry	industry	NOUN
cana-1518	337	32	.	.	PUNCT
cana-1518	338	1	6	6	X
cana-1518	338	2	.	.	X
cana-1518	338	3	conclusion	conclusion	NOUN
cana-1518	338	4	in	in	ADP
cana-1518	338	5	this	this	DET
cana-1518	338	6	paper	paper	NOUN
cana-1518	338	7	,	,	PUNCT
cana-1518	338	8	numerical	numerical	ADJ
cana-1518	338	9	results	result	NOUN
cana-1518	338	10	are	be	AUX
cana-1518	338	11	given	give	VERB
cana-1518	338	12	for	for	ADP
cana-1518	338	13	the	the	DET
cana-1518	338	14	study	study	NOUN
cana-1518	338	15	of	of	ADP
cana-1518	338	16	casson	casson	PROPN
cana-1518	338	17	nanofluids	nanofluids	PROPN
cana-1518	338	18	in	in	ADP
cana-1518	338	19	some	some	DET
cana-1518	338	20	various	various	ADJ
cana-1518	338	21	situations	situation	NOUN
cana-1518	338	22	and	and	CCONJ
cana-1518	338	23	analysis	analysis	NOUN
cana-1518	338	24	is	be	AUX
cana-1518	338	25	done	do	VERB
cana-1518	338	26	with	with	ADP
cana-1518	338	27	varying	vary	VERB
cana-1518	338	28	parameters	parameter	NOUN
cana-1518	338	29	as	as	SCONJ
cana-1518	338	30	caused	cause	VERB
cana-1518	338	31	by	by	ADP
cana-1518	338	32	magnetic	magnetic	ADJ
cana-1518	338	33	field	field	NOUN
cana-1518	338	34	effect	effect	VERB
cana-1518	338	35	viscous	viscous	ADJ
cana-1518	338	36	dissipation	dissipation	NOUN
cana-1518	338	37	thermal	thermal	ADJ
cana-1518	338	38	radiation	radiation	NOUN
cana-1518	338	39	.	.	PUNCT
cana-1518	339	1	the	the	DET
cana-1518	339	2	parametric	parametric	ADJ
cana-1518	339	3	studies	study	NOUN
cana-1518	339	4	performed	perform	VERB
cana-1518	339	5	in	in	ADP
cana-1518	339	6	this	this	DET
cana-1518	339	7	work	work	NOUN
cana-1518	339	8	showed	show	VERB
cana-1518	339	9	the	the	DET
cana-1518	339	10	significant	significant	ADJ
cana-1518	339	11	impact	impact	NOUN
cana-1518	339	12	of	of	ADP
cana-1518	339	13	some	some	DET
cana-1518	339	14	crucial	crucial	ADJ
cana-1518	339	15	parameters	parameter	NOUN
cana-1518	339	16	(	(	PUNCT
cana-1518	339	17	m	m	PROPN
cana-1518	339	18	,	,	PUNCT
cana-1518	339	19	\beta	\beta	PROPN
cana-1518	339	20	)	)	PUNCT
cana-1518	339	21	and	and	CCONJ
cana-1518	339	22	reynolds	reynold	NOUN
cana-1518	339	23	,	,	PUNCT
cana-1518	339	24	prandtl	prandtl	NOUN
cana-1518	339	25	number	number	NOUN
cana-1518	339	26	on	on	ADP
cana-1518	339	27	fluid	fluid	ADJ
cana-1518	339	28	flow	flow	NOUN
cana-1518	339	29	distribution	distribution	NOUN
cana-1518	339	30	as	as	ADP
cana-1518	339	31	well	well	ADV
cana-1518	339	32	thermal	thermal	ADJ
cana-1518	339	33	characteristics	characteristic	NOUN
cana-1518	339	34	.	.	PUNCT
cana-1518	340	1	these	these	DET
cana-1518	340	2	observations	observation	NOUN
cana-1518	340	3	help	help	VERB
cana-1518	340	4	to	to	PART
cana-1518	340	5	better	well	ADV
cana-1518	340	6	understand	understand	VERB
cana-1518	340	7	the	the	DET
cana-1518	340	8	effect	effect	NOUN
cana-1518	340	9	of	of	ADP
cana-1518	340	10	various	various	ADJ
cana-1518	340	11	factors	factor	NOUN
cana-1518	340	12	on	on	ADP
cana-1518	340	13	nanofluid	nanofluid	ADJ
cana-1518	340	14	systems	system	NOUN
cana-1518	340	15	and	and	CCONJ
cana-1518	340	16	their	their	PRON
cana-1518	340	17	interplay	interplay	NOUN
cana-1518	340	18	at	at	ADP
cana-1518	340	19	different	different	ADJ
cana-1518	340	20	levels	level	NOUN
cana-1518	340	21	,	,	PUNCT
cana-1518	340	22	which	which	PRON
cana-1518	340	23	establish	establish	VERB
cana-1518	340	24	a	a	DET
cana-1518	340	25	unique	unique	ADJ
cana-1518	340	26	realization.the	realization.the	PRON
cana-1518	340	27	outcome	outcome	NOUN
cana-1518	340	28	suggests	suggest	VERB
cana-1518	340	29	that	that	SCONJ
cana-1518	340	30	the	the	DET
cana-1518	340	31	magnetic	magnetic	ADJ
cana-1518	340	32	field	field	NOUN
cana-1518	340	33	imposes	impose	VERB
cana-1518	340	34	a	a	DET
cana-1518	340	35	marked	mark	VERB
cana-1518	340	36	decelerative	decelerative	ADJ
cana-1518	340	37	effort	effort	NOUN
cana-1518	340	38	on	on	ADP
cana-1518	340	39	the	the	DET
cana-1518	340	40	liquid	liquid	NOUN
cana-1518	340	41	,	,	PUNCT
cana-1518	340	42	while	while	SCONJ
cana-1518	340	43	simultaneously	simultaneously	ADV
cana-1518	340	44	influencing	influence	VERB
cana-1518	340	45	velocity	velocity	NOUN
cana-1518	340	46	profiles	profile	NOUN
cana-1518	340	47	and	and	CCONJ
cana-1518	340	48	thermal	thermal	ADJ
cana-1518	340	49	boundary	boundary	ADJ
cana-1518	340	50	layer	layer	NOUN
cana-1518	340	51	thickness	thickness	NOUN
cana-1518	340	52	.	.	PUNCT
cana-1518	341	1	the	the	DET
cana-1518	341	2	casson	casson	PROPN
cana-1518	341	3	parameter(β	parameter(β	PROPN
cana-1518	341	4	)	)	PUNCT
cana-1518	341	5	characteristic	characteristic	NOUN
cana-1518	341	6	of	of	ADP
cana-1518	341	7	non-ℵuid	non-ℵuid	ADJ
cana-1518	341	8	behaviour	behaviour	NOUN
cana-1518	341	9	℧	℧	X
cana-1518	341	10	in	in	ADP
cana-1518	341	11	maintaining	maintain	VERB
cana-1518	341	12	the	the	DET
cana-1518	341	13	viscosity	viscosity	NOUN
cana-1518	341	14	,	,	PUNCT
cana-1518	341	15	therefore	therefore	ADV
cana-1518	341	16	a	a	DET
cana-1518	341	17	an	an	DET
cana-1518	341	18	similar	similar	ADJ
cana-1518	341	19	heat	heat	NOUN
cana-1518	341	20	and	and	CCONJ
cana-1518	341	21	mass	mass	NOUN
cana-1518	341	22	transfer	transfer	NOUN
cana-1518	341	23	rate	rate	NOUN
cana-1518	341	24	is	be	AUX
cana-1518	341	25	affected	affect	VERB
cana-1518	341	26	.	.	PUNCT
cana-1518	342	1	in	in	ADP
cana-1518	342	2	addition	addition	NOUN
cana-1518	342	3	,	,	PUNCT
cana-1518	342	4	the	the	DET
cana-1518	342	5	influence	influence	NOUN
cana-1518	342	6	of	of	ADP
cana-1518	342	7	viscous	viscous	ADJ
cana-1518	342	8	dissipation	dissipation	NOUN
cana-1518	342	9	and	and	CCONJ
cana-1518	342	10	thermal	thermal	ADJ
cana-1518	342	11	radiation	radiation	NOUN
cana-1518	342	12	on	on	ADP
cana-1518	342	13	the	the	DET
cana-1518	342	14	transient	transient	ADJ
cana-1518	342	15	heat	heat	NOUN
cana-1518	342	16	transfer	transfer	NOUN
cana-1518	342	17	characteristics	characteristic	NOUN
cana-1518	342	18	in	in	ADP
cana-1518	342	19	our	our	PRON
cana-1518	342	20	system	system	NOUN
cana-1518	342	21	is	be	AUX
cana-1518	342	22	revealed	reveal	VERB
cana-1518	342	23	along	along	ADP
cana-1518	342	24	with	with	ADP
cana-1518	342	25	a	a	DET
cana-1518	342	26	comparison	comparison	NOUN
cana-1518	342	27	to	to	PART
cana-1518	342	28	elucidate	elucidate	VERB
cana-1518	342	29	the	the	DET
cana-1518	342	30	system	system	NOUN
cana-1518	342	31	cleanup	cleanup	NOUN
cana-1518	342	32	efficiency	efficiency	NOUN
cana-1518	342	33	.	.	PUNCT
cana-1518	343	1	the	the	DET
cana-1518	343	2	tables	table	NOUN
cana-1518	343	3	and	and	CCONJ
cana-1518	343	4	comprehensive	comprehensive	ADJ
cana-1518	343	5	discussions	discussion	NOUN
cana-1518	343	6	included	include	VERB
cana-1518	343	7	in	in	ADP
cana-1518	343	8	the	the	DET
cana-1518	343	9	study	study	NOUN
cana-1518	343	10	are	be	AUX
cana-1518	343	11	a	a	DET
cana-1518	343	12	great	great	ADJ
cana-1518	343	13	asset	asset	NOUN
cana-1518	343	14	for	for	ADP
cana-1518	343	15	engineers	engineer	NOUN
cana-1518	343	16	,	,	PUNCT
cana-1518	343	17	students	student	NOUN
cana-1518	343	18	,	,	PUNCT
cana-1518	343	19	and	and	CCONJ
cana-1518	343	20	researchers	researcher	NOUN
cana-1518	343	21	.	.	PUNCT
cana-1518	344	1	they	they	PRON
cana-1518	344	2	provide	provide	VERB
cana-1518	344	3	a	a	DET
cana-1518	344	4	useful	useful	ADJ
cana-1518	344	5	resource	resource	NOUN
cana-1518	344	6	for	for	ADP
cana-1518	344	7	developing	develop	VERB
cana-1518	344	8	an	an	DET
cana-1518	344	9	understanding	understanding	NOUN
cana-1518	344	10	of	of	ADP
cana-1518	344	11	the	the	DET
cana-1518	344	12	optimization	optimization	NOUN
cana-1518	344	13	heat	heat	NOUN
cana-1518	344	14	and	and	CCONJ
cana-1518	344	15	mass	mass	NOUN
cana-1518	344	16	transfer	transfer	NOUN
cana-1518	344	17	processes	process	NOUN
cana-1518	344	18	in	in	ADP
cana-1518	344	19	nanofluid	nanofluid	NOUN
cana-1518	344	20	-	-	PUNCT
cana-1518	344	21	based	base	VERB
cana-1518	344	22	systems	system	NOUN
cana-1518	344	23	.	.	PUNCT
cana-1518	345	1	this	this	DET
cana-1518	345	2	study	study	NOUN
cana-1518	345	3	provides	provide	VERB
cana-1518	345	4	insight	insight	NOUN
cana-1518	345	5	models	model	NOUN
cana-1518	345	6	into	into	ADP
cana-1518	345	7	the	the	DET
cana-1518	345	8	intricate	intricate	ADJ
cana-1518	345	9	physical	physical	ADJ
cana-1518	345	10	parameters	parameter	NOUN
cana-1518	345	11	interactions	interaction	NOUN
cana-1518	345	12	,	,	PUNCT
cana-1518	345	13	influencing	influence	VERB
cana-1518	345	14	performance	performance	NOUN
cana-1518	345	15	of	of	ADP
cana-1518	345	16	nanofluids	nanofluid	NOUN
cana-1518	345	17	in	in	ADP
cana-1518	345	18	industrial	industrial	ADJ
cana-1518	345	19	applications	application	NOUN
cana-1518	345	20	.	.	PUNCT
cana-1518	346	1	these	these	DET
cana-1518	346	2	findings	finding	NOUN
cana-1518	346	3	are	be	AUX
cana-1518	346	4	necessary	necessary	ADJ
cana-1518	346	5	in	in	ADP
cana-1518	346	6	improving	improve	VERB
cana-1518	346	7	the	the	DET
cana-1518	346	8	performance	performance	NOUN
cana-1518	346	9	,	,	PUNCT
cana-1518	346	10	competitiveness	competitiveness	NOUN
cana-1518	346	11	and	and	CCONJ
cana-1518	346	12	new	new	ADJ
cana-1518	346	13	advancement	advancement	NOUN
cana-1518	346	14	of	of	ADP
cana-1518	346	15	cooling	cool	VERB
cana-1518	346	16	technologies	technology	NOUN
cana-1518	346	17	or	or	CCONJ
cana-1518	346	18	chemical	chemical	NOUN
cana-1518	346	19	processing	processing	NOUN
cana-1518	346	20	as	as	ADV
cana-1518	346	21	well	well	ADV
cana-1518	346	22	as	as	ADP
cana-1518	346	23	other	other	ADJ
cana-1518	346	24	operations	operation	NOUN
cana-1518	346	25	that	that	PRON
cana-1518	346	26	require	require	VERB
cana-1518	346	27	specific	specific	ADJ
cana-1518	346	28	thermal	thermal	ADJ
cana-1518	346	29	and	and	CCONJ
cana-1518	346	30	mass	mass	ADJ
cana-1518	346	31	transfer	transfer	NOUN
cana-1518	346	32	control	control	NOUN
cana-1518	346	33	.	.	PUNCT
cana-1518	347	1	the	the	DET
cana-1518	347	2	in	in	ADP
cana-1518	347	3	depth	depth	NOUN
cana-1518	347	4	results	result	NOUN
cana-1518	347	5	and	and	CCONJ
cana-1518	347	6	discussions	discussion	NOUN
cana-1518	347	7	allow	allow	VERB
cana-1518	347	8	the	the	DET
cana-1518	347	9	need	need	NOUN
cana-1518	347	10	to	to	PART
cana-1518	347	11	develop	develop	VERB
cana-1518	347	12	nanofluids	nanofluid	NOUN
cana-1518	347	13	based	base	VERB
cana-1518	347	14	applications	application	NOUN
cana-1518	347	15	for	for	ADP
cana-1518	347	16	wide	wide	ADJ
cana-1518	347	17	range	range	NOUN
cana-1518	347	18	of	of	ADP
cana-1518	347	19	industrial	industrial	ADJ
cana-1518	347	20	uses	use	NOUN
cana-1518	347	21	at	at	ADP
cana-1518	347	22	advanced	advanced	ADJ
cana-1518	347	23	stages	stage	NOUN
cana-1518	347	24	without	without	ADP
cana-1518	347	25	other	other	ADJ
cana-1518	347	26	thoughts	thought	NOUN
cana-1518	347	27	.	.	PUNCT
cana-1518	348	1	7	7	X
cana-1518	348	2	.	.	NUM
cana-1518	348	3	references	reference	NOUN
cana-1518	348	4	[	[	X
cana-1518	348	5	1	1	NUM
cana-1518	348	6	]	]	X
cana-1518	348	7	ali	ali	PROPN
cana-1518	348	8	,	,	PUNCT
cana-1518	348	9	m.e	m.e	PROPN
cana-1518	348	10	.	.	PROPN
cana-1518	348	11	,	,	PUNCT
cana-1518	348	12	et	et	PROPN
cana-1518	348	13	al	al	PROPN
cana-1518	348	14	.	.	PUNCT
cana-1518	349	1	“	"	PUNCT
cana-1518	349	2	combined	combined	ADJ
cana-1518	349	3	heat	heat	NOUN
cana-1518	349	4	and	and	CCONJ
cana-1518	349	5	mass	mass	NOUN
cana-1518	349	6	transfer	transfer	NOUN
cana-1518	349	7	by	by	ADP
cana-1518	349	8	natural	natural	ADJ
cana-1518	349	9	convection	convection	NOUN
cana-1518	349	10	into	into	ADP
cana-1518	349	11	a	a	DET
cana-1518	349	12	porous	porous	ADJ
cana-1518	349	13	medium	medium	NOUN
cana-1518	349	14	from	from	ADP
cana-1518	349	15	a	a	DET
cana-1518	349	16	vertical	vertical	ADJ
cana-1518	349	17	plate	plate	NOUN
cana-1518	349	18	with	with	ADP
cana-1518	349	19	internal	internal	ADJ
cana-1518	349	20	heat	heat	NOUN
cana-1518	349	21	generation	generation	NOUN
cana-1518	349	22	.	.	PUNCT
cana-1518	349	23	”	"	PUNCT
cana-1518	350	1	international	international	ADJ
cana-1518	350	2	journal	journal	NOUN
cana-1518	350	3	of	of	ADP
cana-1518	350	4	thermal	thermal	ADJ
cana-1518	350	5	sciences	science	NOUN
cana-1518	350	6	(	(	PUNCT
cana-1518	350	7	2008	2008	NUM
cana-1518	350	8	)	)	PUNCT
cana-1518	350	9	.	.	PUNCT
cana-1518	351	1	[	[	X
cana-1518	351	2	2	2	NUM
cana-1518	351	3	]	]	X
cana-1518	351	4	abel	abel	PROPN
cana-1518	351	5	,	,	PUNCT
cana-1518	351	6	s.	s.	PROPN
cana-1518	351	7	,	,	PUNCT
cana-1518	351	8	et	et	PROPN
cana-1518	351	9	al	al	PROPN
cana-1518	351	10	.	.	PUNCT
cana-1518	352	1	“	"	PUNCT
cana-1518	352	2	effects	effect	NOUN
cana-1518	352	3	of	of	ADP
cana-1518	352	4	buoyancy	buoyancy	NOUN
cana-1518	352	5	force	force	NOUN
cana-1518	352	6	and	and	CCONJ
cana-1518	352	7	thermal	thermal	ADJ
cana-1518	352	8	radiation	radiation	NOUN
cana-1518	352	9	on	on	ADP
cana-1518	352	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	352	11	boundary	boundary	ADJ
cana-1518	352	12	layer	layer	NOUN
cana-1518	352	13	viscoelastic	viscoelastic	NOUN
cana-1518	352	14	fluid	fluid	NOUN
cana-1518	352	15	flow	flow	NOUN
cana-1518	352	16	over	over	ADP
cana-1518	352	17	a	a	DET
cana-1518	352	18	continuously	continuously	ADV
cana-1518	352	19	moving	move	VERB
cana-1518	352	20	stretching	stretch	VERB
cana-1518	352	21	surface	surface	NOUN
cana-1518	352	22	.	.	PUNCT
cana-1518	352	23	”	"	PUNCT
cana-1518	353	1	international	international	ADJ
cana-1518	353	2	journal	journal	NOUN
cana-1518	353	3	of	of	ADP
cana-1518	353	4	thermal	thermal	ADJ
cana-1518	353	5	sciences	science	NOUN
cana-1518	353	6	(	(	PUNCT
cana-1518	353	7	2005	2005	NUM
cana-1518	353	8	)	)	PUNCT
cana-1518	353	9	.	.	PUNCT
cana-1518	354	1	[	[	X
cana-1518	354	2	3	3	NUM
cana-1518	354	3	]	]	X
cana-1518	354	4	ali	ali	PROPN
cana-1518	354	5	,	,	PUNCT
cana-1518	354	6	n.	n.	NOUN
cana-1518	354	7	,	,	PUNCT
cana-1518	354	8	and	and	CCONJ
cana-1518	354	9	hayat	hayat	NOUN
cana-1518	354	10	,	,	PUNCT
cana-1518	354	11	t.	t.	NOUN
cana-1518	354	12	“	"	PUNCT
cana-1518	354	13	carreau	carreau	PROPN
cana-1518	354	14	fluid	fluid	PROPN
cana-1518	354	15	model	model	NOUN
cana-1518	354	16	in	in	ADP
cana-1518	354	17	an	an	DET
cana-1518	354	18	asymmetric	asymmetric	ADJ
cana-1518	354	19	channel	channel	NOUN
cana-1518	354	20	subjected	subject	VERB
cana-1518	354	21	to	to	ADP
cana-1518	354	22	peristalsis	peristalsis	NOUN
cana-1518	354	23	motion	motion	NOUN
cana-1518	354	24	.	.	PUNCT
cana-1518	354	25	”	"	PUNCT
cana-1518	354	26	applied	apply	VERB
cana-1518	354	27	mathematics	mathematic	NOUN
cana-1518	354	28	and	and	CCONJ
cana-1518	354	29	computation	computation	NOUN
cana-1518	354	30	.	.	PUNCT
cana-1518	355	1	olajuwon	olajuwon	PROPN
cana-1518	355	2	,	,	PUNCT
cana-1518	355	3	b.i	b.i	PROPN
cana-1518	355	4	.	.	PUNCT
cana-1518	355	5	“	"	PUNCT
cana-1518	355	6	radiation	radiation	NOUN
cana-1518	355	7	effect	effect	NOUN
cana-1518	355	8	on	on	ADP
cana-1518	355	9	fluid	fluid	ADJ
cana-1518	355	10	flow	flow	NOUN
cana-1518	355	11	of	of	ADP
cana-1518	355	12	hydromagnetic	hydromagnetic	PROPN
cana-1518	355	13	carreau	carreau	PROPN
cana-1518	355	14	fluid	fluid	PROPN
cana-1518	355	15	past	past	ADP
cana-1518	355	16	a	a	DET
cana-1518	355	17	vertical	vertical	ADJ
cana-1518	355	18	porous	porous	ADJ
cana-1518	355	19	plate	plate	NOUN
cana-1518	355	20	with	with	ADP
cana-1518	355	21	diffusion	diffusion	NOUN
cana-1518	355	22	and	and	CCONJ
cana-1518	355	23	heat	heat	NOUN
cana-1518	355	24	absorption	absorption	NOUN
cana-1518	355	25	.	.	PUNCT
cana-1518	355	26	”	"	PUNCT
cana-1518	356	1	proceedings	proceeding	NOUN
cana-1518	356	2	of	of	ADP
cana-1518	356	3	the	the	DET
cana-1518	356	4	romanian	romanian	PROPN
cana-1518	356	5	academy	academy	PROPN
cana-1518	356	6	series	series	PROPN
cana-1518	356	7	a	a	PRON
cana-1518	356	8	,	,	PUNCT
cana-1518	356	9	scientific	scientific	ADJ
cana-1518	356	10	papers	paper	NOUN
cana-1518	356	11	(	(	PUNCT
cana-1518	356	12	2011	2011	NUM
cana-1518	356	13	)	)	PUNCT
cana-1518	356	14	.	.	PUNCT
cana-1518	357	1	[	[	X
cana-1518	357	2	4	4	NUM
cana-1518	357	3	]	]	X
cana-1518	357	4	hayat	hayat	NOUN
cana-1518	357	5	,	,	PUNCT
cana-1518	357	6	t.	t.	PROPN
cana-1518	357	7	,	,	PUNCT
cana-1518	357	8	et	et	PROPN
cana-1518	357	9	al	al	PROPN
cana-1518	357	10	.	.	PUNCT
cana-1518	358	1	“	"	PUNCT
cana-1518	358	2	peristaltic	peristaltic	ADJ
cana-1518	358	3	transport	transport	NOUN
cana-1518	358	4	of	of	ADP
cana-1518	358	5	carreau	carreau	PROPN
cana-1518	358	6	fluid	fluid	NOUN
cana-1518	358	7	due	due	ADP
cana-1518	358	8	to	to	ADP
cana-1518	358	9	induced	induce	VERB
cana-1518	358	10	magnetic	magnetic	ADJ
cana-1518	358	11	field	field	NOUN
cana-1518	358	12	.	.	PUNCT
cana-1518	358	13	”	"	PUNCT
cana-1518	359	1	communications	communication	NOUN
cana-1518	359	2	in	in	ADP
cana-1518	359	3	nonlinear	nonlinear	ADJ
cana-1518	359	4	science	science	NOUN
cana-1518	359	5	and	and	CCONJ
cana-1518	359	6	numerical	numerical	PROPN
cana-1518	359	7	simulation	simulation	PROPN
cana-1518	359	8	(	(	PUNCT
cana-1518	359	9	2010	2010	NUM
cana-1518	359	10	)	)	PUNCT
cana-1518	359	11	.	.	PUNCT
cana-1518	360	1	[	[	X
cana-1518	360	2	5	5	NUM
cana-1518	360	3	]	]	X
cana-1518	360	4	akbar	akbar	NOUN
cana-1518	360	5	,	,	PUNCT
cana-1518	360	6	n.s	n.s	PROPN
cana-1518	360	7	.	.	PROPN
cana-1518	360	8	,	,	PUNCT
cana-1518	360	9	and	and	CCONJ
cana-1518	360	10	nadeem	nadeem	PROPN
cana-1518	360	11	,	,	PUNCT
cana-1518	360	12	s.	s.	PROPN
cana-1518	360	13	“	"	PUNCT
cana-1518	360	14	fluid	fluid	ADJ
cana-1518	360	15	flow	flow	NOUN
cana-1518	360	16	and	and	CCONJ
cana-1518	360	17	heat	heat	NOUN
cana-1518	360	18	transfer	transfer	NOUN
cana-1518	360	19	analysis	analysis	NOUN
cana-1518	360	20	due	due	ADJ
cana-1518	360	21	to	to	ADP
cana-1518	360	22	thermal	thermal	ADJ
cana-1518	360	23	radiation	radiation	NOUN
cana-1518	360	24	effect	effect	NOUN
cana-1518	360	25	on	on	ADP
cana-1518	360	26	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	360	27	stagnation	stagnation	NOUN
cana-1518	360	28	point	point	NOUN
cana-1518	360	29	carreau	carreau	PROPN
cana-1518	360	30	fluid	fluid	PROPN
cana-1518	360	31	with	with	ADP
cana-1518	360	32	convection	convection	NOUN
cana-1518	360	33	boundary	boundary	ADJ
cana-1518	360	34	condition	condition	NOUN
cana-1518	360	35	”	"	PUNCT
cana-1518	360	36	(	(	PUNCT
cana-1518	360	37	2015	2015	NUM
cana-1518	360	38	)	)	PUNCT
cana-1518	360	39	.	.	PUNCT
cana-1518	361	1	[	[	X
cana-1518	361	2	6	6	NUM
cana-1518	361	3	]	]	X
cana-1518	361	4	akbar	akbar	NOUN
cana-1518	361	5	,	,	PUNCT
cana-1518	361	6	n.s	n.s	PROPN
cana-1518	361	7	.	.	PROPN
cana-1518	361	8	,	,	PUNCT
cana-1518	361	9	and	and	CCONJ
cana-1518	361	10	nadeem	nadeem	PROPN
cana-1518	361	11	,	,	PUNCT
cana-1518	361	12	s.	s.	PROPN
cana-1518	361	13	“	"	PUNCT
cana-1518	361	14	peristaltic	peristaltic	ADJ
cana-1518	361	15	flow	flow	NOUN
cana-1518	361	16	of	of	ADP
cana-1518	361	17	carreau	carreau	PROPN
cana-1518	361	18	nanofluid	nanofluid	PROPN
cana-1518	361	19	in	in	ADP
cana-1518	361	20	an	an	DET
cana-1518	361	21	asymmetric	asymmetric	ADJ
cana-1518	361	22	channel	channel	NOUN
cana-1518	361	23	.	.	PUNCT
cana-1518	361	24	”	"	PUNCT
cana-1518	362	1	the	the	DET
cana-1518	362	2	open	open	ADJ
cana-1518	362	3	mathematics	mathematics	PROPN
cana-1518	362	4	journal	journal	NOUN
cana-1518	362	5	(	(	PUNCT
cana-1518	362	6	2009	2009	NUM
cana-1518	362	7	)	)	PUNCT
cana-1518	362	8	.	.	PUNCT
cana-1518	363	1	[	[	X
cana-1518	363	2	7	7	NUM
cana-1518	363	3	]	]	X
cana-1518	363	4	akbar	akbar	NOUN
cana-1518	363	5	,	,	PUNCT
cana-1518	363	6	n.s	n.s	PROPN
cana-1518	363	7	.	.	PROPN
cana-1518	363	8	,	,	PUNCT
cana-1518	363	9	and	and	CCONJ
cana-1518	363	10	nadeem	nadeem	PROPN
cana-1518	363	11	,	,	PUNCT
cana-1518	363	12	s.	s.	PROPN
cana-1518	363	13	“	"	PUNCT
cana-1518	363	14	effects	effect	NOUN
cana-1518	363	15	of	of	ADP
cana-1518	363	16	heat	heat	NOUN
cana-1518	363	17	on	on	ADP
cana-1518	363	18	a	a	DET
cana-1518	363	19	carreau	carreau	PROPN
cana-1518	363	20	fluid	fluid	NOUN
cana-1518	363	21	model	model	NOUN
cana-1518	363	22	considering	consider	VERB
cana-1518	363	23	reactions	reaction	NOUN
cana-1518	363	24	in	in	ADP
cana-1518	363	25	combined	combine	VERB
cana-1518	363	26	peristaltic	peristaltic	ADJ
cana-1518	363	27	flow	flow	NOUN
cana-1518	363	28	through	through	ADP
cana-1518	363	29	a	a	DET
cana-1518	363	30	diverging	diverging	ADJ
cana-1518	363	31	tube	tube	NOUN
cana-1518	363	32	.	.	PUNCT
cana-1518	363	33	”	"	PUNCT
cana-1518	364	1	international	international	ADJ
cana-1518	364	2	journal	journal	NOUN
cana-1518	364	3	of	of	ADP
cana-1518	364	4	nonlinear	nonlinear	ADJ
cana-1518	364	5	mechanics	mechanic	NOUN
cana-1518	364	6	(	(	PUNCT
cana-1518	364	7	2011	2011	NUM
cana-1518	364	8	)	)	PUNCT
cana-1518	364	9	.	.	PUNCT
cana-1518	365	1	communications	communication	NOUN
cana-1518	365	2	on	on	ADP
cana-1518	365	3	applied	apply	VERB
cana-1518	365	4	nonlinear	nonlinear	ADJ
cana-1518	365	5	analysis	analysis	NOUN
cana-1518	365	6	issn	issn	NOUN
cana-1518	365	7	:	:	PUNCT
cana-1518	365	8	1074	1074	NUM
cana-1518	365	9	-	-	PUNCT
cana-1518	365	10	133x	133x	NUM
cana-1518	365	11	vol	vol	NOUN
cana-1518	365	12	31	31	NUM
cana-1518	365	13	no	no	NOUN
cana-1518	365	14	.	.	PUNCT
cana-1518	366	1	8s	8s	PROPN
cana-1518	366	2	(	(	PUNCT
cana-1518	366	3	2024	2024	NUM
cana-1518	366	4	)	)	PUNCT
cana-1518	366	5	395	395	NUM
cana-1518	366	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	367	1	[	[	X
cana-1518	367	2	8	8	NUM
cana-1518	367	3	]	]	X
cana-1518	367	4	nandeppanavar	nandeppanavar	PROPN
cana-1518	367	5	,	,	PUNCT
cana-1518	367	6	m.m	m.m	PROPN
cana-1518	367	7	.	.	PROPN
cana-1518	367	8	,	,	PUNCT
cana-1518	367	9	vajravelu	vajravelu	NOUN
cana-1518	367	10	,	,	PUNCT
cana-1518	367	11	k.	k.	PROPN
cana-1518	367	12	,	,	PUNCT
cana-1518	367	13	abel	abel	PROPN
cana-1518	367	14	,	,	PUNCT
cana-1518	367	15	m.s	m.s	PROPN
cana-1518	367	16	.	.	PROPN
cana-1518	367	17	,	,	PUNCT
cana-1518	367	18	and	and	CCONJ
cana-1518	367	19	siddalingappa	siddalingappa	PROPN
cana-1518	367	20	,	,	PUNCT
cana-1518	367	21	m.n	m.n	PROPN
cana-1518	367	22	.	.	PUNCT
cana-1518	367	23	“	"	PUNCT
cana-1518	367	24	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	367	25	flow	flow	NOUN
cana-1518	367	26	and	and	CCONJ
cana-1518	367	27	heat	heat	NOUN
cana-1518	367	28	transfer	transfer	NOUN
cana-1518	367	29	over	over	ADP
cana-1518	367	30	a	a	DET
cana-1518	367	31	stretching	stretch	VERB
cana-1518	367	32	surface	surface	NOUN
cana-1518	367	33	with	with	ADP
cana-1518	367	34	variable	variable	ADJ
cana-1518	367	35	thermal	thermal	ADJ
cana-1518	367	36	conductivity	conductivity	NOUN
cana-1518	367	37	and	and	CCONJ
cana-1518	367	38	partial	partial	ADJ
cana-1518	367	39	slip	slip	NOUN
cana-1518	367	40	.	.	PUNCT
cana-1518	367	41	”	"	PUNCT
cana-1518	368	1	meccanica	meccanica	PROPN
cana-1518	368	2	(	(	PUNCT
cana-1518	368	3	2013	2013	NUM
cana-1518	368	4	)	)	PUNCT
cana-1518	368	5	.	.	PUNCT
cana-1518	369	1	[	[	X
cana-1518	369	2	9	9	NUM
cana-1518	369	3	]	]	PUNCT
cana-1518	369	4	soares	soare	NOUN
cana-1518	369	5	,	,	PUNCT
cana-1518	369	6	s.	s.	PROPN
cana-1518	369	7	,	,	PUNCT
cana-1518	369	8	et	et	PROPN
cana-1518	369	9	al	al	PROPN
cana-1518	369	10	.	.	PUNCT
cana-1518	370	1	“	"	PUNCT
cana-1518	370	2	creating	create	VERB
cana-1518	370	3	power	power	NOUN
cana-1518	370	4	on	on	ADP
cana-1518	370	5	wind	wind	NOUN
cana-1518	370	6	farms	farm	NOUN
cana-1518	370	7	situated	situate	VERB
cana-1518	370	8	over	over	ADP
cana-1518	370	9	mountainous	mountainous	ADJ
cana-1518	370	10	terrain	terrain	NOUN
cana-1518	370	11	.	.	PUNCT
cana-1518	370	12	”	"	PUNCT
cana-1518	371	1	acta	acta	PROPN
cana-1518	371	2	mechanica	mechanica	PROPN
cana-1518	371	3	(	(	PUNCT
cana-1518	371	4	2013	2013	NUM
cana-1518	371	5	)	)	PUNCT
cana-1518	371	6	.	.	PUNCT
cana-1518	372	1	[	[	X
cana-1518	372	2	10	10	NUM
cana-1518	372	3	]	]	X
cana-1518	372	4	cortell	cortell	PROPN
cana-1518	372	5	,	,	PUNCT
cana-1518	372	6	r.	r.	PROPN
cana-1518	372	7	“	"	PUNCT
cana-1518	372	8	viscous	viscous	ADJ
cana-1518	372	9	flow	flow	NOUN
cana-1518	372	10	and	and	CCONJ
cana-1518	372	11	heat	heat	NOUN
cana-1518	372	12	transfer	transfer	NOUN
cana-1518	372	13	over	over	ADP
cana-1518	372	14	a	a	DET
cana-1518	372	15	nonlinearly	nonlinearly	ADV
cana-1518	372	16	stretching	stretch	VERB
cana-1518	372	17	sheet	sheet	NOUN
cana-1518	372	18	.	.	PUNCT
cana-1518	372	19	”	"	PUNCT
cana-1518	373	1	journal	journal	NOUN
cana-1518	373	2	of	of	ADP
cana-1518	373	3	differential	differential	ADJ
cana-1518	373	4	equations	equation	NOUN
cana-1518	373	5	(	(	PUNCT
cana-1518	373	6	2005	2005	NUM
cana-1518	373	7	)	)	PUNCT
cana-1518	373	8	.	.	PUNCT
cana-1518	374	1	[	[	X
cana-1518	374	2	11	11	NUM
cana-1518	374	3	]	]	PUNCT
cana-1518	374	4	vyas	vyas	PROPN
cana-1518	374	5	,	,	PUNCT
cana-1518	374	6	p.	p.	PROPN
cana-1518	374	7	,	,	PUNCT
cana-1518	374	8	and	and	CCONJ
cana-1518	374	9	ranjan	ranjan	PROPN
cana-1518	374	10	,	,	PUNCT
cana-1518	374	11	a.	a.	NOUN
cana-1518	374	12	“	"	PUNCT
cana-1518	374	13	dissipative	dissipative	ADJ
cana-1518	374	14	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	374	15	boundary	boundary	ADJ
cana-1518	374	16	layer	layer	NOUN
cana-1518	374	17	flow	flow	NOUN
cana-1518	374	18	of	of	ADP
cana-1518	374	19	a	a	DET
cana-1518	374	20	porous	porous	ADJ
cana-1518	374	21	medium	medium	NOUN
cana-1518	374	22	over	over	ADP
cana-1518	374	23	nonlinearly	nonlinearly	ADV
cana-1518	374	24	stretching	stretch	VERB
cana-1518	374	25	sheet	sheet	NOUN
cana-1518	374	26	with	with	ADP
cana-1518	374	27	radiation	radiation	NOUN
cana-1518	374	28	.	.	PUNCT
cana-1518	374	29	”	"	PUNCT
cana-1518	374	30	applied	apply	VERB
cana-1518	374	31	mathematics	mathematic	NOUN
cana-1518	374	32	and	and	CCONJ
cana-1518	374	33	sciences	science	NOUN
cana-1518	374	34	(	(	PUNCT
cana-1518	374	35	2010	2010	NUM
cana-1518	374	36	)	)	PUNCT
cana-1518	374	37	.	.	PUNCT
cana-1518	375	1	[	[	X
cana-1518	375	2	12	12	NUM
cana-1518	375	3	]	]	X
cana-1518	375	4	crane	crane	NOUN
cana-1518	375	5	,	,	PUNCT
cana-1518	375	6	l.j	l.j	PROPN
cana-1518	375	7	.	.	PUNCT
cana-1518	375	8	“	"	PUNCT
cana-1518	375	9	flow	flow	VERB
cana-1518	375	10	past	past	ADP
cana-1518	375	11	a	a	DET
cana-1518	375	12	stretching	stretch	VERB
cana-1518	375	13	plate	plate	NOUN
cana-1518	375	14	.	.	PUNCT
cana-1518	375	15	”	"	PUNCT
cana-1518	376	1	journal	journal	NOUN
cana-1518	376	2	of	of	ADP
cana-1518	376	3	applied	apply	VERB
cana-1518	376	4	mathematics	mathematic	NOUN
cana-1518	376	5	and	and	CCONJ
cana-1518	376	6	physics	physics	NOUN
cana-1518	376	7	(	(	PUNCT
cana-1518	376	8	1970	1970	NUM
cana-1518	376	9	)	)	PUNCT
cana-1518	376	10	.	.	PUNCT
cana-1518	377	1	[	[	X
cana-1518	377	2	13	13	NUM
cana-1518	377	3	]	]	PUNCT
cana-1518	377	4	choi	choi	NOUN
cana-1518	377	5	,	,	PUNCT
cana-1518	377	6	s.u.s	s.u.s	PROPN
cana-1518	377	7	.	.	PUNCT
cana-1518	377	8	“	"	PUNCT
cana-1518	377	9	enhancing	enhance	VERB
cana-1518	377	10	the	the	DET
cana-1518	377	11	thermal	thermal	ADJ
cana-1518	377	12	conductivity	conductivity	NOUN
cana-1518	377	13	of	of	ADP
cana-1518	377	14	fluids	fluid	NOUN
cana-1518	377	15	with	with	ADP
cana-1518	377	16	nanoparticles	nanoparticle	NOUN
cana-1518	377	17	.	.	PUNCT
cana-1518	377	18	”	"	PUNCT
cana-1518	378	1	proceedings	proceeding	NOUN
cana-1518	378	2	of	of	ADP
cana-1518	378	3	the	the	DET
cana-1518	378	4	asme	asme	PROPN
cana-1518	378	5	international	international	PROPN
cana-1518	378	6	mechanical	mechanical	ADJ
cana-1518	378	7	engineering	engineering	PROPN
cana-1518	378	8	congress	congress	PROPN
cana-1518	378	9	and	and	CCONJ
cana-1518	378	10	exposition	exposition	NOUN
cana-1518	378	11	(	(	PUNCT
cana-1518	378	12	1995	1995	NUM
cana-1518	378	13	)	)	PUNCT
cana-1518	378	14	.	.	PUNCT
cana-1518	379	1	[	[	X
cana-1518	379	2	14	14	NUM
cana-1518	379	3	]	]	X
cana-1518	379	4	buongiorno	buongiorno	PROPN
cana-1518	379	5	,	,	PUNCT
cana-1518	379	6	j.	j.	X
cana-1518	379	7	“	"	PUNCT
cana-1518	379	8	convective	convective	ADJ
cana-1518	379	9	transport	transport	NOUN
cana-1518	379	10	in	in	ADP
cana-1518	379	11	nanofluids	nanofluid	NOUN
cana-1518	379	12	.	.	PUNCT
cana-1518	379	13	”	"	PUNCT
cana-1518	380	1	journal	journal	NOUN
cana-1518	380	2	of	of	ADP
cana-1518	380	3	heat	heat	NOUN
cana-1518	380	4	transfer	transfer	NOUN
cana-1518	380	5	(	(	PUNCT
cana-1518	380	6	2005	2005	NUM
cana-1518	380	7	)	)	PUNCT
cana-1518	380	8	.	.	PUNCT
cana-1518	381	1	[	[	X
cana-1518	381	2	15	15	NUM
cana-1518	381	3	]	]	X
cana-1518	381	4	sheikholeslami	sheikholeslami	NOUN
cana-1518	381	5	,	,	PUNCT
cana-1518	381	6	m.	m.	NOUN
cana-1518	381	7	,	,	PUNCT
cana-1518	381	8	and	and	CCONJ
cana-1518	381	9	ganji	ganji	NOUN
cana-1518	381	10	,	,	PUNCT
cana-1518	381	11	d.d	d.d	PROPN
cana-1518	381	12	.	.	PUNCT
cana-1518	382	1	“	"	PUNCT
cana-1518	382	2	three	three	NUM
cana-1518	382	3	-	-	PUNCT
cana-1518	382	4	dimensional	dimensional	ADJ
cana-1518	382	5	heat	heat	NOUN
cana-1518	382	6	and	and	CCONJ
cana-1518	382	7	mass	mass	NOUN
cana-1518	382	8	transfer	transfer	NOUN
cana-1518	382	9	in	in	ADP
cana-1518	382	10	a	a	DET
cana-1518	382	11	rotating	rotate	VERB
cana-1518	382	12	system	system	NOUN
cana-1518	382	13	using	use	VERB
cana-1518	382	14	nanofluid	nanofluid	NUM
cana-1518	382	15	.	.	PUNCT
cana-1518	382	16	”	"	PUNCT
cana-1518	383	1	powder	powder	NOUN
cana-1518	383	2	technology	technology	NOUN
cana-1518	383	3	(	(	PUNCT
cana-1518	383	4	2014	2014	NUM
cana-1518	383	5	)	)	PUNCT
cana-1518	383	6	.	.	PUNCT
cana-1518	384	1	[	[	X
cana-1518	384	2	16	16	NUM
cana-1518	384	3	]	]	X
cana-1518	384	4	abouelregal	abouelregal	ADJ
cana-1518	384	5	,	,	PUNCT
cana-1518	384	6	a.e	a.e	PROPN
cana-1518	384	7	.	.	PROPN
cana-1518	384	8	,	,	PUNCT
cana-1518	384	9	ahmad	ahmad	PROPN
cana-1518	384	10	,	,	PUNCT
cana-1518	384	11	h.	h.	PROPN
cana-1518	384	12	,	,	PUNCT
cana-1518	384	13	and	and	CCONJ
cana-1518	384	14	yao	yao	PROPN
cana-1518	384	15	,	,	PUNCT
cana-1518	384	16	s.w	s.w	PROPN
cana-1518	384	17	.	.	PROPN
cana-1518	384	18	“	"	PUNCT
cana-1518	384	19	functionally	functionally	ADV
cana-1518	384	20	graded	grade	VERB
cana-1518	384	21	piezoelectric	piezoelectric	NOUN
cana-1518	384	22	medium	medium	NOUN
cana-1518	384	23	subjected	subject	VERB
cana-1518	384	24	to	to	ADP
cana-1518	384	25	a	a	DET
cana-1518	384	26	moving	move	VERB
cana-1518	384	27	heat	heat	NOUN
cana-1518	384	28	flow	flow	NOUN
cana-1518	384	29	by	by	ADP
cana-1518	384	30	using	use	VERB
cana-1518	384	31	heat	heat	NOUN
cana-1518	384	32	equation	equation	NOUN
cana-1518	384	33	with	with	ADP
cana-1518	384	34	memory	memory	NOUN
cana-1518	384	35	type	type	NOUN
cana-1518	384	36	of	of	ADP
cana-1518	384	37	derivative	derivative	NOUN
cana-1518	384	38	.	.	PUNCT
cana-1518	384	39	”	"	PUNCT
cana-1518	385	1	materials	material	NOUN
cana-1518	385	2	(	(	PUNCT
cana-1518	385	3	2020	2020	NUM
cana-1518	385	4	)	)	PUNCT
cana-1518	385	5	.	.	PUNCT
cana-1518	386	1	[	[	X
cana-1518	386	2	17	17	NUM
cana-1518	386	3	]	]	SYM
cana-1518	386	4	hussain	hussain	PROPN
cana-1518	386	5	,	,	PUNCT
cana-1518	386	6	a.	a.	PROPN
cana-1518	386	7	,	,	PUNCT
cana-1518	386	8	et	et	PROPN
cana-1518	386	9	al	al	PROPN
cana-1518	386	10	.	.	PUNCT
cana-1518	387	1	“	"	PUNCT
cana-1518	387	2	three	three	NUM
cana-1518	387	3	-	-	PUNCT
cana-1518	387	4	dimensional	dimensional	ADJ
cana-1518	387	5	water	water	NOUN
cana-1518	387	6	-	-	PUNCT
cana-1518	387	7	based	base	VERB
cana-1518	387	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	387	9	rotating	rotate	VERB
cana-1518	387	10	nanofluid	nanofluid	ADJ
cana-1518	387	11	flow	flow	NOUN
cana-1518	387	12	over	over	ADP
cana-1518	387	13	a	a	DET
cana-1518	387	14	linear	linear	ADJ
cana-1518	387	15	extending	extend	VERB
cana-1518	387	16	sheet	sheet	NOUN
cana-1518	387	17	and	and	CCONJ
cana-1518	387	18	heat	heat	NOUN
cana-1518	387	19	transport	transport	NOUN
cana-1518	387	20	analysis	analysis	NOUN
cana-1518	387	21	:	:	PUNCT
cana-1518	387	22	a	a	DET
cana-1518	387	23	numerical	numerical	ADJ
cana-1518	387	24	approach	approach	NOUN
cana-1518	387	25	.	.	PUNCT
cana-1518	387	26	”	"	PUNCT
cana-1518	388	1	communications	communication	NOUN
cana-1518	388	2	in	in	ADP
cana-1518	388	3	theoretical	theoretical	ADJ
cana-1518	388	4	physics	physics	NOUN
cana-1518	388	5	(	(	PUNCT
cana-1518	388	6	2018	2018	NUM
cana-1518	388	7	)	)	PUNCT
cana-1518	388	8	.	.	PUNCT
cana-1518	389	1	[	[	X
cana-1518	389	2	18	18	NUM
cana-1518	389	3	]	]	X
cana-1518	389	4	daniel	daniel	PROPN
cana-1518	389	5	,	,	PUNCT
cana-1518	389	6	y.s	y.s	PROPN
cana-1518	389	7	.	.	PROPN
cana-1518	389	8	,	,	PUNCT
cana-1518	389	9	et	et	PROPN
cana-1518	389	10	al	al	PROPN
cana-1518	389	11	.	.	PUNCT
cana-1518	390	1	“	"	PUNCT
cana-1518	390	2	the	the	DET
cana-1518	390	3	role	role	NOUN
cana-1518	390	4	of	of	ADP
cana-1518	390	5	slip	slip	NOUN
cana-1518	390	6	in	in	ADP
cana-1518	390	7	unsteady	unsteady	ADJ
cana-1518	390	8	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	390	9	mixed	mixed	ADJ
cana-1518	390	10	convection	convection	NOUN
cana-1518	390	11	of	of	ADP
cana-1518	390	12	nanofluid	nanofluid	NOUN
cana-1518	390	13	over	over	ADP
cana-1518	390	14	a	a	DET
cana-1518	390	15	stretching	stretch	VERB
cana-1518	390	16	sheet	sheet	NOUN
cana-1518	390	17	with	with	ADP
cana-1518	390	18	thermal	thermal	ADJ
cana-1518	390	19	radiation	radiation	NOUN
cana-1518	390	20	and	and	CCONJ
cana-1518	390	21	electric	electric	ADJ
cana-1518	390	22	field	field	NOUN
cana-1518	390	23	effects	effect	NOUN
cana-1518	390	24	.	.	PUNCT
cana-1518	390	25	”	"	PUNCT
cana-1518	391	1	indian	indian	PROPN
cana-1518	391	2	journal	journal	PROPN
cana-1518	391	3	of	of	ADP
cana-1518	391	4	physics	physics	PROPN
cana-1518	391	5	(	(	PUNCT
cana-1518	391	6	2020	2020	NUM
cana-1518	391	7	)	)	PUNCT
cana-1518	391	8	.	.	PUNCT
cana-1518	392	1	[	[	X
cana-1518	392	2	19	19	NUM
cana-1518	392	3	]	]	X
cana-1518	392	4	daniel	daniel	PROPN
cana-1518	392	5	,	,	PUNCT
cana-1518	392	6	y.s	y.s	PROPN
cana-1518	392	7	.	.	PROPN
cana-1518	392	8	,	,	PUNCT
cana-1518	392	9	et	et	PROPN
cana-1518	392	10	al	al	PROPN
cana-1518	392	11	.	.	PUNCT
cana-1518	392	12	“	"	PUNCT
cana-1518	392	13	entropy	entropy	VERB
cana-1518	392	14	analysis	analysis	NOUN
cana-1518	392	15	in	in	ADP
cana-1518	392	16	electrical	electrical	ADJ
cana-1518	392	17	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	392	18	flow	flow	NOUN
cana-1518	392	19	of	of	ADP
cana-1518	392	20	nanofluid	nanofluid	NOUN
cana-1518	392	21	with	with	ADP
cana-1518	392	22	effects	effect	NOUN
cana-1518	392	23	of	of	ADP
cana-1518	392	24	thermal	thermal	ADJ
cana-1518	392	25	radiation	radiation	NOUN
cana-1518	392	26	,	,	PUNCT
cana-1518	392	27	viscous	viscous	ADJ
cana-1518	392	28	dissipation	dissipation	NOUN
cana-1518	392	29	,	,	PUNCT
cana-1518	392	30	and	and	CCONJ
cana-1518	392	31	chemical	chemical	NOUN
cana-1518	392	32	reaction	reaction	NOUN
cana-1518	392	33	.	.	PUNCT
cana-1518	392	34	”	"	PUNCT
cana-1518	393	1	theoretical	theoretical	ADJ
cana-1518	393	2	and	and	CCONJ
cana-1518	393	3	applied	apply	VERB
cana-1518	393	4	mechanics	mechanic	NOUN
cana-1518	393	5	letters	letter	NOUN
cana-1518	393	6	(	(	PUNCT
cana-1518	393	7	2017	2017	NUM
cana-1518	393	8	)	)	PUNCT
cana-1518	393	9	.	.	PUNCT
cana-1518	394	1	[	[	X
cana-1518	394	2	20	20	NUM
cana-1518	394	3	]	]	X
cana-1518	394	4	daniel	daniel	PROPN
cana-1518	394	5	,	,	PUNCT
cana-1518	394	6	y.s	y.s	PROPN
cana-1518	394	7	.	.	PUNCT
cana-1518	395	1	“	"	PUNCT
cana-1518	395	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	395	3	laminar	laminar	NOUN
cana-1518	395	4	flows	flow	NOUN
cana-1518	395	5	and	and	CCONJ
cana-1518	395	6	heat	heat	NOUN
cana-1518	395	7	transfer	transfer	NOUN
cana-1518	395	8	adjacent	adjacent	ADJ
cana-1518	395	9	to	to	ADP
cana-1518	395	10	permeable	permeable	ADJ
cana-1518	395	11	stretching	stretching	NOUN
cana-1518	395	12	sheets	sheet	NOUN
cana-1518	395	13	with	with	ADP
cana-1518	395	14	partial	partial	ADJ
cana-1518	395	15	slip	slip	NOUN
cana-1518	395	16	conditions	condition	NOUN
cana-1518	395	17	.	.	PUNCT
cana-1518	395	18	”	"	PUNCT
cana-1518	396	1	journal	journal	NOUN
cana-1518	396	2	of	of	ADP
cana-1518	396	3	advanced	advanced	ADJ
cana-1518	396	4	mechanical	mechanical	ADJ
cana-1518	396	5	engineering	engineering	NOUN
cana-1518	396	6	(	(	PUNCT
cana-1518	396	7	2017	2017	NUM
cana-1518	396	8	)	)	PUNCT
cana-1518	396	9	.	.	PUNCT
cana-1518	397	1	[	[	X
cana-1518	397	2	21	21	NUM
cana-1518	397	3	]	]	X
cana-1518	397	4	daniel	daniel	PROPN
cana-1518	397	5	,	,	PUNCT
cana-1518	397	6	y.s	y.s	PROPN
cana-1518	397	7	.	.	PROPN
cana-1518	397	8	,	,	PUNCT
cana-1518	397	9	et	et	PROPN
cana-1518	397	10	al	al	PROPN
cana-1518	397	11	.	.	PUNCT
cana-1518	398	1	“	"	PUNCT
cana-1518	398	2	numerical	numerical	ADJ
cana-1518	398	3	study	study	NOUN
cana-1518	398	4	of	of	ADP
cana-1518	398	5	entropy	entropy	NOUN
cana-1518	398	6	analysis	analysis	NOUN
cana-1518	398	7	for	for	ADP
cana-1518	398	8	electrical	electrical	ADJ
cana-1518	398	9	unsteady	unsteady	ADJ
cana-1518	398	10	natural	natural	ADJ
cana-1518	398	11	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	398	12	flow	flow	NOUN
cana-1518	398	13	of	of	ADP
cana-1518	398	14	nanofluid	nanofluid	ADJ
cana-1518	398	15	and	and	CCONJ
cana-1518	398	16	heat	heat	NOUN
cana-1518	398	17	transfer	transfer	NOUN
cana-1518	398	18	.	.	PUNCT
cana-1518	398	19	”	"	PUNCT
cana-1518	399	1	chinese	chinese	ADJ
cana-1518	399	2	journal	journal	PROPN
cana-1518	399	3	of	of	ADP
cana-1518	399	4	physics	physics	PROPN
cana-1518	399	5	(	(	PUNCT
cana-1518	399	6	2017	2017	NUM
cana-1518	399	7	)	)	PUNCT
cana-1518	399	8	.	.	PUNCT
cana-1518	400	1	[	[	X
cana-1518	400	2	22	22	NUM
cana-1518	400	3	]	]	X
cana-1518	400	4	hiemenz	hiemenz	PROPN
cana-1518	400	5	,	,	PUNCT
cana-1518	400	6	k.	k.	PUNCT
cana-1518	400	7	“	"	PUNCT
cana-1518	400	8	über	über	PROPN
cana-1518	400	9	die	die	NOUN
cana-1518	400	10	grenzschicht	grenzschicht	NOUN
cana-1518	400	11	an	an	DET
cana-1518	400	12	einem	einem	NOUN
cana-1518	400	13	in	in	ADP
cana-1518	400	14	den	den	PROPN
cana-1518	400	15	gleichformigen	gleichformigen	PROPN
cana-1518	400	16	flüssigkeitsstrom	flüssigkeitsstrom	PROPN
cana-1518	400	17	eingetauchten	eingetauchten	PROPN
cana-1518	400	18	geraden	geraden	PROPN
cana-1518	400	19	kreiszylinder	kreiszylinder	PROPN
cana-1518	400	20	.	.	PUNCT
cana-1518	400	21	”	"	PUNCT
cana-1518	401	1	dingler	dingler	PROPN
cana-1518	401	2	’s	’s	PART
cana-1518	401	3	polytechnisches	polytechnische	NOUN
cana-1518	401	4	journal	journal	PROPN
cana-1518	401	5	(	(	PUNCT
cana-1518	401	6	1911	1911	NUM
cana-1518	401	7	)	)	PUNCT
cana-1518	401	8	.	.	PUNCT
cana-1518	402	1	[	[	X
cana-1518	402	2	23	23	NUM
cana-1518	402	3	]	]	X
cana-1518	402	4	shen	shen	NOUN
cana-1518	402	5	,	,	PUNCT
cana-1518	402	6	m.	m.	NOUN
cana-1518	402	7	,	,	PUNCT
cana-1518	402	8	et	et	PROPN
cana-1518	402	9	al	al	PROPN
cana-1518	402	10	.	.	PUNCT
cana-1518	403	1	“	"	PUNCT
cana-1518	403	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1518	403	3	mixed	mixed	ADJ
cana-1518	403	4	convection	convection	NOUN
cana-1518	403	5	slip	slip	NOUN
cana-1518	403	6	flow	flow	NOUN
cana-1518	403	7	near	near	ADP
cana-1518	403	8	a	a	DET
cana-1518	403	9	stagnation	stagnation	NOUN
cana-1518	403	10	point	point	NOUN
cana-1518	403	11	on	on	ADP
cana-1518	403	12	a	a	DET
cana-1518	403	13	nonlinearly	nonlinearly	ADV
cana-1518	403	14	stretching	stretch	VERB
cana-1518	403	15	sheet	sheet	NOUN
cana-1518	403	16	with	with	ADP
cana-1518	403	17	suction	suction	NOUN
cana-1518	403	18	.	.	PUNCT
cana-1518	403	19	”	"	PUNCT
cana-1518	404	1	boundary	boundary	ADJ
cana-1518	404	2	value	value	NOUN
cana-1518	404	3	problems	problem	NOUN
cana-1518	404	4	(	(	PUNCT
cana-1518	404	5	2015	2015	NUM
cana-1518	404	6	)	)	PUNCT
cana-1518	404	7	.	.	PUNCT
cana-1518	405	1	[	[	X
cana-1518	405	2	24	24	NUM
cana-1518	405	3	]	]	X
cana-1518	405	4	akyildiz	akyildiz	NOUN
cana-1518	405	5	,	,	PUNCT
cana-1518	405	6	f.t	f.t	PROPN
cana-1518	405	7	.	.	PROPN
cana-1518	405	8	,	,	PUNCT
cana-1518	405	9	and	and	CCONJ
cana-1518	405	10	siginer	siginer	NOUN
cana-1518	405	11	,	,	PUNCT
cana-1518	405	12	d.	d.	PROPN
cana-1518	405	13	“	"	PUNCT
cana-1518	405	14	analysis	analysis	NOUN
cana-1518	405	15	of	of	ADP
cana-1518	405	16	the	the	DET
cana-1518	405	17	velocity	velocity	NOUN
cana-1518	405	18	and	and	CCONJ
cana-1518	405	19	thermal	thermal	ADJ
cana-1518	405	20	boundary	boundary	ADJ
cana-1518	405	21	layers	layer	NOUN
cana-1518	405	22	on	on	ADP
cana-1518	405	23	a	a	DET
cana-1518	405	24	non	non	ADJ
cana-1518	405	25	-	-	ADJ
cana-1518	405	26	linearly	linearly	ADV
cana-1518	405	27	stretching	stretch	VERB
cana-1518	405	28	sheet	sheet	NOUN
cana-1518	405	29	.	.	PUNCT
cana-1518	405	30	”	"	PUNCT
cana-1518	406	1	nonlinear	nonlinear	ADJ
cana-1518	406	2	analysis	analysis	NOUN
cana-1518	406	3	:	:	PUNCT
cana-1518	406	4	real	real	ADJ
cana-1518	406	5	world	world	NOUN
cana-1518	406	6	applications	application	NOUN
cana-1518	406	7	(	(	PUNCT
cana-1518	406	8	2010	2010	NUM
cana-1518	406	9	)	)	PUNCT
cana-1518	406	10	.	.	PUNCT
cana-1518	407	1	[	[	X
cana-1518	407	2	25	25	NUM
cana-1518	407	3	]	]	X
cana-1518	407	4	dwivedi	dwivedi	PROPN
cana-1518	407	5	,	,	PUNCT
cana-1518	407	6	abhinav	abhinav	PROPN
cana-1518	407	7	&	&	CCONJ
cana-1518	407	8	saini	saini	PROPN
cana-1518	407	9	,	,	PUNCT
cana-1518	407	10	gurmeet	gurmeet	PROPN
cana-1518	407	11	&	&	CCONJ
cana-1518	407	12	ibrahim	ibrahim	PROPN
cana-1518	407	13	musa	musa	PROPN
cana-1518	407	14	,	,	PUNCT
cana-1518	407	15	usman	usman	PROPN
cana-1518	407	16	&	&	CCONJ
cana-1518	407	17	singla	singla	PROPN
cana-1518	407	18	,	,	PUNCT
cana-1518	407	19	kunal	kunal	PROPN
cana-1518	407	20	.	.	PUNCT
cana-1518	407	21	(	(	PUNCT
cana-1518	407	22	2023	2023	NUM
cana-1518	407	23	)	)	PUNCT
cana-1518	407	24	.	.	PUNCT
cana-1518	408	1	cybersecurity	cybersecurity	NOUN
cana-1518	408	2	and	and	CCONJ
cana-1518	408	3	prevention	prevention	NOUN
cana-1518	408	4	in	in	ADP
cana-1518	408	5	the	the	DET
cana-1518	408	6	quantum	quantum	ADJ
cana-1518	408	7	era	era	NOUN
cana-1518	408	8	.	.	PUNCT
cana-1518	409	1	1	1	NUM
cana-1518	409	2	-	-	SYM
cana-1518	409	3	6	6	NUM
cana-1518	409	4	.	.	NUM
cana-1518	409	5	10.1109	10.1109	NUM
cana-1518	409	6	/	/	SYM
cana-1518	409	7	inocon57975.2023.10101186	inocon57975.2023.10101186	PROPN
cana-1518	409	8	.	.	PUNCT
cana-1518	410	1	[	[	X
cana-1518	410	2	26	26	NUM
cana-1518	410	3	]	]	PUNCT
cana-1518	410	4	singla	singla	PROPN
cana-1518	410	5	,	,	PUNCT
cana-1518	410	6	kunal	kunal	PROPN
cana-1518	410	7	&	&	CCONJ
cana-1518	410	8	singh	singh	PROPN
cana-1518	410	9	,	,	PUNCT
cana-1518	410	10	baljap	baljap	PROPN
cana-1518	410	11	&	&	CCONJ
cana-1518	410	12	kaur	kaur	PROPN
cana-1518	410	13	,	,	PUNCT
cana-1518	410	14	er	er	INTJ
cana-1518	410	15	&	&	CCONJ
cana-1518	410	16	choudhary	choudhary	PROPN
cana-1518	410	17	,	,	PUNCT
cana-1518	410	18	chahil	chahil	PROPN
cana-1518	410	19	.	.	PUNCT
cana-1518	411	1	(	(	PUNCT
cana-1518	411	2	2023	2023	NUM
cana-1518	411	3	)	)	PUNCT
cana-1518	411	4	.	.	PUNCT
cana-1518	412	1	a	a	DET
cana-1518	412	2	machine	machine	NOUN
cana-1518	412	3	learning	learn	VERB
cana-1518	412	4	model	model	NOUN
cana-1518	412	5	for	for	ADP
cana-1518	412	6	contentbased	contentbase	VERB
cana-1518	412	7	image	image	NOUN
cana-1518	412	8	retrieval	retrieval	NOUN
cana-1518	412	9	.	.	PUNCT
cana-1518	413	1	1	1	NUM
cana-1518	413	2	-	-	SYM
cana-1518	413	3	6	6	NUM
cana-1518	413	4	.	.	NOUN
cana-1518	413	5	10.1109	10.1109	NUM
cana-1518	413	6	/	/	SYM
cana-1518	413	7	inocon57975.2023.10101215	inocon57975.2023.10101215	PROPN
cana-1518	413	8	.	.	PUNCT
cana-1518	414	1	[	[	X
cana-1518	414	2	27	27	NUM
cana-1518	414	3	]	]	X
cana-1518	414	4	matura	matura	PROPN
cana-1518	414	5	,	,	PUNCT
cana-1518	414	6	rishi	rishi	PROPN
cana-1518	414	7	&	&	CCONJ
cana-1518	414	8	singla	singla	PROPN
cana-1518	414	9	,	,	PUNCT
cana-1518	414	10	kunal	kunal	PROPN
cana-1518	414	11	.	.	PUNCT
cana-1518	414	12	(	(	PUNCT
cana-1518	414	13	2024	2024	NUM
cana-1518	414	14	)	)	PUNCT
cana-1518	414	15	.	.	PUNCT
cana-1518	415	1	secure	secure	ADJ
cana-1518	415	2	and	and	CCONJ
cana-1518	415	3	user	user	NOUN
cana-1518	415	4	-	-	PUNCT
cana-1518	415	5	friendly	friendly	ADJ
cana-1518	415	6	smart	smart	ADJ
cana-1518	415	7	home	home	NOUN
cana-1518	415	8	automation	automation	NOUN
cana-1518	415	9	:	:	PUNCT
cana-1518	415	10	a	a	DET
cana-1518	415	11	mobile	mobile	ADJ
cana-1518	415	12	-	-	PUNCT
cana-1518	415	13	centric	centric	ADJ
cana-1518	415	14	iot	iot	NOUN
cana-1518	415	15	approach	approach	NOUN
cana-1518	415	16	.	.	PUNCT
cana-1518	416	1	journal	journal	NOUN
cana-1518	416	2	of	of	ADP
cana-1518	416	3	trends	trend	NOUN
cana-1518	416	4	in	in	ADP
cana-1518	416	5	computer	computer	NOUN
cana-1518	416	6	science	science	NOUN
cana-1518	416	7	and	and	CCONJ
cana-1518	416	8	smart	smart	ADJ
cana-1518	416	9	technology	technology	NOUN
cana-1518	416	10	.	.	PUNCT
cana-1518	417	1	6	6	NUM
cana-1518	417	2	.	.	X
cana-1518	417	3	10.36548	10.36548	NUM
cana-1518	417	4	/	/	SYM
cana-1518	417	5	jtcsst.2024.2.007	jtcsst.2024.2.007	NOUN
cana-1518	417	6	.	.	PUNCT
cana-1518	418	1	[	[	X
cana-1518	418	2	28	28	NUM
cana-1518	418	3	]	]	X
cana-1518	418	4	prathimesh	prathimesh	ADJ
cana-1518	418	5	,	,	PUNCT
cana-1518	418	6	&	&	CCONJ
cana-1518	418	7	singla	singla	PROPN
cana-1518	418	8	,	,	PUNCT
cana-1518	418	9	kunal	kunal	PROPN
cana-1518	418	10	&	&	CCONJ
cana-1518	418	11	shingari	shingari	PROPN
cana-1518	418	12	,	,	PUNCT
cana-1518	418	13	groresh	groresh	PROPN
cana-1518	418	14	&	&	CCONJ
cana-1518	418	15	sharma	sharma	PROPN
cana-1518	418	16	,	,	PUNCT
cana-1518	418	17	deepika	deepika	PROPN
cana-1518	418	18	.	.	PUNCT
cana-1518	419	1	(	(	PUNCT
cana-1518	419	2	2023	2023	NUM
cana-1518	419	3	)	)	PUNCT
cana-1518	419	4	.	.	PUNCT
cana-1518	420	1	an	an	DET
cana-1518	420	2	approach	approach	NOUN
cana-1518	420	3	to	to	ADP
cana-1518	420	4	mine	mine	NOUN
cana-1518	420	5	data	datum	NOUN
cana-1518	420	6	for	for	ADP
cana-1518	420	7	predicting	predict	VERB
cana-1518	420	8	forest	forest	NOUN
cana-1518	420	9	fires	fire	NOUN
cana-1518	420	10	using	use	VERB
cana-1518	420	11	support	support	NOUN
cana-1518	420	12	vector	vector	NOUN
cana-1518	420	13	machines	machine	NOUN
cana-1518	420	14	and	and	CCONJ
cana-1518	420	15	gini	gini	PROPN
cana-1518	420	16	index	index	NOUN
cana-1518	420	17	for	for	ADP
cana-1518	420	18	feature	feature	NOUN
cana-1518	420	19	selection	selection	NOUN
cana-1518	420	20	.	.	PUNCT
cana-1518	421	1	1457	1457	NUM
cana-1518	421	2	-	-	SYM
cana-1518	421	3	1462	1462	NUM
cana-1518	421	4	.	.	PUNCT
cana-1518	422	1	10.1109	10.1109	NUM
cana-1518	422	2	/	/	SYM
cana-1518	422	3	iccpct58313.2023.10245148	iccpct58313.2023.10245148	PROPN
cana-1518	422	4	.	.	PUNCT
cana-1518	422	5	communications	communication	NOUN
cana-1518	422	6	on	on	ADP
cana-1518	422	7	applied	apply	VERB
cana-1518	422	8	nonlinear	nonlinear	ADJ
cana-1518	422	9	analysis	analysis	NOUN
cana-1518	422	10	issn	issn	NOUN
cana-1518	422	11	:	:	PUNCT
cana-1518	422	12	1074	1074	NUM
cana-1518	422	13	-	-	PUNCT
cana-1518	422	14	133x	133x	NUM
cana-1518	422	15	vol	vol	NOUN
cana-1518	422	16	31	31	NUM
cana-1518	422	17	no	no	NOUN
cana-1518	422	18	.	.	PUNCT
cana-1518	423	1	8s	8s	PROPN
cana-1518	423	2	(	(	PUNCT
cana-1518	423	3	2024	2024	NUM
cana-1518	423	4	)	)	PUNCT
cana-1518	423	5	396	396	NUM
cana-1518	423	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1518	424	1	[	[	X
cana-1518	424	2	29	29	NUM
cana-1518	424	3	]	]	PUNCT
cana-1518	424	4	sinha	sinha	NOUN
cana-1518	424	5	,	,	PUNCT
cana-1518	424	6	aditya	aditya	PROPN
cana-1518	424	7	&	&	CCONJ
cana-1518	424	8	singla	singla	PROPN
cana-1518	424	9	,	,	PUNCT
cana-1518	424	10	kunal	kunal	PROPN
cana-1518	424	11	&	&	CCONJ
cana-1518	424	12	victor	victor	PROPN
cana-1518	424	13	,	,	PUNCT
cana-1518	424	14	teresa	teresa	PROPN
cana-1518	424	15	matoso	matoso	PROPN
cana-1518	424	16	.	.	PUNCT
cana-1518	425	1	(	(	PUNCT
cana-1518	425	2	2023	2023	NUM
cana-1518	425	3	)	)	PUNCT
cana-1518	425	4	.	.	PUNCT
cana-1518	426	1	artificial	artificial	ADJ
cana-1518	426	2	intelligence	intelligence	NOUN
cana-1518	426	3	and	and	CCONJ
cana-1518	426	4	machine	machine	NOUN
cana-1518	426	5	learning	learning	NOUN
cana-1518	426	6	for	for	ADP
cana-1518	426	7	cybersecurity	cybersecurity	NOUN
cana-1518	426	8	applications	application	NOUN
cana-1518	426	9	and	and	CCONJ
cana-1518	426	10	challenges	challenge	NOUN
cana-1518	426	11	.	.	PUNCT
cana-1518	427	1	10.4018/978	10.4018/978	NUM
cana-1518	427	2	-	-	SYM
cana-1518	427	3	1	1	NUM
cana-1518	427	4	-	-	PUNCT
cana-1518	427	5	6684	6684	NUM
cana-1518	427	6	-	-	PUNCT
cana-1518	427	7	9317	9317	NUM
cana-1518	427	8	-	-	PUNCT
cana-1518	427	9	5.ch007	5.ch007	NOUN
cana-1518	427	10	.	.	PUNCT
cana-1518	428	1	[	[	X
cana-1518	428	2	30	30	NUM
cana-1518	428	3	]	]	SYM
cana-1518	428	4	b.c	b.c	PROPN
cana-1518	428	5	.	.	PROPN
cana-1518	428	6	krishnan	krishnan	PROPN
cana-1518	428	7	,	,	PUNCT
cana-1518	428	8	s.e	s.e	PROPN
cana-1518	428	9	.	.	PROPN
cana-1518	428	10	rittgers	rittger	NOUN
cana-1518	428	11	,	,	PUNCT
cana-1518	428	12	a.p	a.p	PROPN
cana-1518	428	13	.	.	PROPN
cana-1518	428	14	yoganathan	yoganathan	PROPN
cana-1518	428	15	,	,	PUNCT
cana-1518	428	16	biouid	biouid	NOUN
cana-1518	428	17	mechanics	mechanic	NOUN
cana-1518	428	18	:	:	PUNCT
cana-1518	428	19	the	the	DET
cana-1518	428	20	human	human	ADJ
cana-1518	428	21	circulation	circulation	NOUN
cana-1518	428	22	,	,	PUNCT
cana-1518	428	23	taylor	taylor	PROPN
cana-1518	428	24	and	and	CCONJ
cana-1518	428	25	francis	francis	PROPN
cana-1518	428	26	,	,	PUNCT
cana-1518	428	27	new	new	PROPN
cana-1518	428	28	york	york	PROPN
cana-1518	428	29	,	,	PUNCT
cana-1518	428	30	ny	ny	PROPN
cana-1518	428	31	,	,	PUNCT
cana-1518	428	32	usa	usa	PROPN
cana-1518	428	33	,	,	PUNCT
cana-1518	428	34	2012	2012	NUM
cana-1518	428	35	.	.	PUNCT
cana-1518	429	1	[	[	X
cana-1518	429	2	31	31	NUM
cana-1518	429	3	]	]	X
cana-1518	429	4	g.w.s	g.w.s	NOUN
cana-1518	429	5	.	.	PUNCT
cana-1518	429	6	blair	blair	PROPN
cana-1518	429	7	,	,	PUNCT
cana-1518	429	8	an	an	DET
cana-1518	429	9	equation	equation	NOUN
cana-1518	429	10	for	for	ADP
cana-1518	429	11	the	the	DET
cana-1518	429	12	flow	flow	NOUN
cana-1518	429	13	of	of	ADP
cana-1518	429	14	blood	blood	NOUN
cana-1518	429	15	,	,	PUNCT
cana-1518	429	16	plasma	plasma	NOUN
cana-1518	429	17	and	and	CCONJ
cana-1518	429	18	serum	serum	VERB
cana-1518	429	19	through	through	ADP
cana-1518	429	20	glass	glass	NOUN
cana-1518	429	21	capillaries	capillary	NOUN
cana-1518	429	22	,	,	PUNCT
cana-1518	429	23	nature	nature	NOUN
cana-1518	429	24	183	183	NUM
cana-1518	429	25	(	(	PUNCT
cana-1518	429	26	1959	1959	NUM
cana-1518	429	27	)	)	PUNCT
cana-1518	429	28	613614	613614	NUM
cana-1518	429	29	.	.	PUNCT
cana-1518	430	1	[	[	X
cana-1518	430	2	32	32	NUM
cana-1518	430	3	]	]	X
cana-1518	430	4	n.	n.	PROPN
cana-1518	430	5	casson	casson	PROPN
cana-1518	430	6	,	,	PUNCT
cana-1518	430	7	rheology	rheology	NOUN
cana-1518	430	8	of	of	ADP
cana-1518	430	9	disperse	disperse	NOUN
cana-1518	430	10	systems	system	NOUN
cana-1518	430	11	,	,	PUNCT
cana-1518	430	12	in	in	ADP
cana-1518	430	13	:	:	PUNCT
cana-1518	430	14	c.c	c.c	PROPN
cana-1518	430	15	.	.	PROPN
cana-1518	430	16	mill	mill	PROPN
cana-1518	430	17	(	(	PUNCT
cana-1518	430	18	ed	ed	NOUN
cana-1518	430	19	.	.	PUNCT
cana-1518	430	20	)	)	PUNCT
cana-1518	430	21	,	,	PUNCT
cana-1518	430	22	flow	flow	NOUN
cana-1518	430	23	equation	equation	NOUN
cana-1518	430	24	for	for	ADP
cana-1518	430	25	pigment	pigment	ADJ
cana-1518	430	26	oil	oil	NOUN
cana-1518	430	27	suspensions	suspension	NOUN
cana-1518	430	28	of	of	ADP
cana-1518	430	29	the	the	DET
cana-1518	430	30	printing	printing	NOUN
cana-1518	430	31	ink	ink	NOUN
cana-1518	430	32	type	type	NOUN
cana-1518	430	33	.	.	PUNCT
cana-1518	431	1	rheology	rheology	NOUN
cana-1518	431	2	of	of	ADP
cana-1518	431	3	disperse	disperse	NOUN
cana-1518	431	4	systems	system	NOUN
cana-1518	431	5	,	,	PUNCT
cana-1518	431	6	pergamon	pergamon	PROPN
cana-1518	431	7	press	press	PROPN
cana-1518	431	8	,	,	PUNCT
cana-1518	431	9	london	london	PROPN
cana-1518	431	10	,	,	PUNCT
cana-1518	431	11	uk	uk	PROPN
cana-1518	431	12	,	,	PUNCT
cana-1518	431	13	1959	1959	NUM
cana-1518	431	14	,	,	PUNCT
cana-1518	431	15	pp	pp	ADV
cana-1518	431	16	.	.	PUNCT
cana-1518	432	1	84	84	NUM
cana-1518	432	2	-	-	SYM
cana-1518	432	3	102	102	NUM
cana-1518	432	4	.	.	PUNCT
cana-1518	433	1	[	[	X
cana-1518	433	2	33	33	NUM
cana-1518	433	3	]	]	X
cana-1518	433	4	e.w	e.w	PROPN
cana-1518	433	5	.	.	PROPN
cana-1518	433	6	merrill	merrill	PROPN
cana-1518	433	7	,	,	PUNCT
cana-1518	433	8	a.m.	a.m.	PROPN
cana-1518	433	9	benis	benis	PROPN
cana-1518	433	10	,	,	PUNCT
cana-1518	433	11	e.r	e.r	PROPN
cana-1518	433	12	.	.	PROPN
cana-1518	433	13	gilliland	gilliland	PROPN
cana-1518	433	14	,	,	PUNCT
cana-1518	433	15	t.k	t.k	PROPN
cana-1518	433	16	.	.	PROPN
cana-1518	433	17	sherwood	sherwood	PROPN
cana-1518	433	18	,	,	PUNCT
cana-1518	433	19	e.w	e.w	PROPN
cana-1518	433	20	.	.	PROPN
cana-1518	433	21	salzman	salzman	PROPN
cana-1518	433	22	,	,	PUNCT
cana-1518	433	23	pressure	pressure	NOUN
cana-1518	433	24	-	-	PUNCT
cana-1518	433	25	flow	flow	NOUN
cana-1518	433	26	relations	relation	NOUN
cana-1518	433	27	of	of	ADP
cana-1518	433	28	human	human	ADJ
cana-1518	433	29	blood	blood	NOUN
cana-1518	433	30	in	in	ADP
cana-1518	433	31	hollow	hollow	ADJ
cana-1518	433	32	fibers	fiber	NOUN
cana-1518	433	33	at	at	ADP
cana-1518	433	34	low	low	ADJ
cana-1518	433	35	flow	flow	NOUN
cana-1518	433	36	rates	rate	NOUN
cana-1518	433	37	,	,	PUNCT
cana-1518	433	38	j.	j.	PROPN
cana-1518	433	39	appl	appl	PROPN
cana-1518	433	40	.	.	PUNCT
cana-1518	433	41	physiol	physiol	PROPN
cana-1518	433	42	.	.	PUNCT
cana-1518	434	1	20	20	NUM
cana-1518	434	2	(	(	PUNCT
cana-1518	434	3	1965	1965	NUM
cana-1518	434	4	)	)	PUNCT
cana-1518	434	5	954	954	NUM
cana-1518	434	6	-	-	SYM
cana-1518	434	7	967	967	NUM
cana-1518	434	8	.	.	PUNCT
cana-1518	435	1	[	[	X
cana-1518	435	2	34	34	NUM
cana-1518	435	3	]	]	X
cana-1518	435	4	s.	s.	PROPN
cana-1518	435	5	charm	charm	PROPN
cana-1518	435	6	,	,	PUNCT
cana-1518	435	7	g.	g.	PROPN
cana-1518	435	8	kurland	kurland	PROPN
cana-1518	435	9	,	,	PUNCT
cana-1518	435	10	viscometry	viscometry	NOUN
cana-1518	435	11	of	of	ADP
cana-1518	435	12	human	human	ADJ
cana-1518	435	13	blood	blood	NOUN
cana-1518	435	14	for	for	ADP
cana-1518	435	15	shear	shear	NOUN
cana-1518	435	16	rates	rate	NOUN
cana-1518	435	17	of	of	ADP
cana-1518	435	18	0	0	NUM
cana-1518	435	19	-	-	SYM
cana-1518	435	20	100,000	100,000	NUM
cana-1518	435	21	sec-1	sec-1	NOUN
cana-1518	435	22	,	,	PUNCT
cana-1518	435	23	nature	nature	NOUN
cana-1518	435	24	206	206	NUM
cana-1518	435	25	(	(	PUNCT
cana-1518	435	26	1965	1965	NUM
cana-1518	435	27	)	)	PUNCT
cana-1518	435	28	617	617	NUM
cana-1518	435	29	-	-	SYM
cana-1518	435	30	618	618	NUM
cana-1518	435	31	.	.	PUNCT
cana-1518	436	1	[	[	X
cana-1518	436	2	35	35	NUM
cana-1518	436	3	]	]	PUNCT
cana-1518	436	4	p.	p.	NOUN
cana-1518	436	5	chaturani	chaturani	PROPN
cana-1518	436	6	,	,	PUNCT
cana-1518	436	7	r.p	r.p	PROPN
cana-1518	436	8	.	.	PROPN
cana-1518	436	9	samy	samy	PROPN
cana-1518	436	10	,	,	PUNCT
cana-1518	436	11	pulsatile	pulsatile	VERB
cana-1518	436	12	flow	flow	NOUN
cana-1518	436	13	of	of	ADP
cana-1518	436	14	casson	casson	PROPN
cana-1518	436	15	's	's	PART
cana-1518	436	16	fluid	fluid	NOUN
cana-1518	436	17	through	through	ADP
cana-1518	436	18	stenosed	stenose	VERB
cana-1518	436	19	arteries	artery	NOUN
cana-1518	436	20	with	with	ADP
cana-1518	436	21	applications	application	NOUN
cana-1518	436	22	to	to	ADP
cana-1518	436	23	blood	blood	NOUN
cana-1518	436	24	flow	flow	NOUN
cana-1518	436	25	,	,	PUNCT
cana-1518	436	26	biorheology	biorheology	NOUN
cana-1518	436	27	23	23	NUM
cana-1518	436	28	(	(	PUNCT
cana-1518	436	29	1986	1986	NUM
cana-1518	436	30	)	)	PUNCT
cana-1518	436	31	499	499	NUM
cana-1518	436	32	-	-	SYM
cana-1518	436	33	511	511	NUM
cana-1518	436	34	.	.	PUNCT
cana-1518	437	1	[	[	X
cana-1518	437	2	36	36	NUM
cana-1518	437	3	]	]	PUNCT
cana-1518	437	4	m.	m.	NOUN
cana-1518	437	5	madhu	madhu	PROPN
cana-1518	437	6	,	,	PUNCT
cana-1518	437	7	n.	n.	PROPN
cana-1518	437	8	kishna	kishna	PROPN
cana-1518	437	9	,	,	PUNCT
cana-1518	437	10	mhd	mhd	NOUN
cana-1518	437	11	flow	flow	NOUN
cana-1518	437	12	and	and	CCONJ
cana-1518	437	13	heat	heat	NOUN
cana-1518	437	14	transfer	transfer	NOUN
cana-1518	437	15	of	of	ADP
cana-1518	437	16	casson	casson	PROPN
cana-1518	437	17	nanofluid	nanofluid	PROPN
cana-1518	437	18	over	over	ADP
cana-1518	437	19	a	a	DET
cana-1518	437	20	wedge	wedge	NOUN
cana-1518	437	21	,	,	PUNCT
cana-1518	437	22	mechanics	mechanic	NOUN
cana-1518	437	23	&	&	CCONJ
cana-1518	437	24	industry	industry	NOUN
cana-1518	437	25	18	18	NUM
cana-1518	437	26	(	(	PUNCT
cana-1518	437	27	2017	2017	NUM
cana-1518	437	28	)	)	PUNCT
cana-1518	437	29	210	210	NUM
cana-1518	437	30	.	.	PUNCT
cana-1518	438	1	[	[	X
cana-1518	438	2	37	37	NUM
cana-1518	438	3	]	]	X
cana-1518	438	4	r.	r.	PROPN
cana-1518	438	5	kalaivanan	kalaivanan	PROPN
cana-1518	438	6	,	,	PUNCT
cana-1518	438	7	p.	p.	PROPN
cana-1518	438	8	renuka	renuka	PROPN
cana-1518	438	9	,	,	PUNCT
cana-1518	438	10	n.v	n.v	PROPN
cana-1518	438	11	.	.	PROPN
cana-1518	438	12	ganesh	ganesh	PROPN
cana-1518	438	13	,	,	PUNCT
cana-1518	438	14	a.k	a.k	PROPN
cana-1518	438	15	.	.	PROPN
cana-1518	438	16	abdul	abdul	PROPN
cana-1518	438	17	hakeem	hakeem	PROPN
cana-1518	438	18	,	,	PUNCT
cana-1518	438	19	b.	b.	PROPN
cana-1518	438	20	ganga	ganga	PROPN
cana-1518	438	21	,	,	PUNCT
cana-1518	438	22	s.	s.	PROPN
cana-1518	438	23	saranya	saranya	PROPN
cana-1518	438	24	,	,	PUNCT
cana-1518	438	25	effect	effect	NOUN
cana-1518	438	26	of	of	ADP
cana-1518	438	27	aligned	aligned	ADJ
cana-1518	438	28	magnetic	magnetic	ADJ
cana-1518	438	29	field	field	NOUN
cana-1518	438	30	on	on	ADP
cana-1518	438	31	slip	slip	NOUN
cana-1518	438	32	flow	flow	NOUN
cana-1518	438	33	of	of	ADP
cana-1518	438	34	casson	casson	PROPN
cana-1518	438	35	fluid	fluid	NOUN
cana-1518	438	36	over	over	ADP
cana-1518	438	37	a	a	DET
cana-1518	438	38	stretching	stretch	VERB
cana-1518	438	39	sheet	sheet	NOUN
cana-1518	438	40	,	,	PUNCT
cana-1518	438	41	procedia	procedia	NOUN
cana-1518	438	42	engineering	engineering	NOUN
cana-1518	438	43	127	127	NUM
cana-1518	438	44	(	(	PUNCT
cana-1518	438	45	2015	2015	NUM
cana-1518	438	46	)	)	PUNCT
cana-1518	438	47	531	531	NUM
cana-1518	438	48	-	-	SYM
cana-1518	438	49	538	538	NUM
cana-1518	438	50	.	.	PUNCT
cana-1518	439	1	[	[	X
cana-1518	439	2	38	38	NUM
cana-1518	439	3	]	]	PUNCT
cana-1518	439	4	s.	s.	PROPN
cana-1518	439	5	jain	jain	PROPN
cana-1518	439	6	,	,	PUNCT
cana-1518	439	7	a.	a.	PROPN
cana-1518	439	8	parmar	parmar	PROPN
cana-1518	439	9	,	,	PUNCT
cana-1518	439	10	multiple	multiple	ADJ
cana-1518	439	11	slip	slip	NOUN
cana-1518	439	12	effects	effect	NOUN
cana-1518	439	13	on	on	ADP
cana-1518	439	14	inclined	inclined	ADJ
cana-1518	439	15	mhd	mhd	PROPN
cana-1518	439	16	casson	casson	PROPN
cana-1518	439	17	fluid	fluid	NOUN
cana-1518	439	18	flow	flow	NOUN
cana-1518	439	19	over	over	ADP
cana-1518	439	20	a	a	DET
cana-1518	439	21	permeable	permeable	ADJ
cana-1518	439	22	stretching	stretch	VERB
cana-1518	439	23	surface	surface	NOUN
cana-1518	439	24	and	and	CCONJ
cana-1518	439	25	a	a	DET
cana-1518	439	26	melting	melting	NOUN
cana-1518	439	27	surface	surface	NOUN
cana-1518	439	28	,	,	PUNCT
cana-1518	439	29	international	international	ADJ
cana-1518	439	30	journal	journal	NOUN
cana-1518	439	31	of	of	ADP
cana-1518	439	32	heat	heat	NOUN
cana-1518	439	33	and	and	CCONJ
cana-1518	439	34	technology	technology	NOUN
cana-1518	439	35	36	36	NUM
cana-1518	439	36	(	(	PUNCT
cana-1518	439	37	2018	2018	NUM
cana-1518	439	38	)	)	PUNCT
cana-1518	439	39	585	585	NUM
cana-1518	439	40	-	-	SYM
cana-1518	439	41	594	594	NUM
cana-1518	439	42	.	.	PUNCT
cana-1518	440	1	[	[	X
cana-1518	440	2	39	39	NUM
cana-1518	440	3	]	]	PUNCT
cana-1518	440	4	b.	b.	PROPN
cana-1518	440	5	ganga	ganga	PROPN
cana-1518	440	6	,	,	PUNCT
cana-1518	440	7	m.	m.	NOUN
cana-1518	440	8	govindaraju	govindaraju	PROPN
cana-1518	440	9	,	,	PUNCT
cana-1518	440	10	a.k	a.k	PROPN
cana-1518	440	11	.	.	PROPN
cana-1518	440	12	abdul	abdul	PROPN
cana-1518	440	13	hakeem	hakeem	PROPN
cana-1518	440	14	,	,	PUNCT
cana-1518	440	15	effects	effect	NOUN
cana-1518	440	16	of	of	ADP
cana-1518	440	17	inclined	inclined	ADJ
cana-1518	440	18	magnetic	magnetic	ADJ
cana-1518	440	19	field	field	NOUN
cana-1518	440	20	on	on	ADP
cana-1518	440	21	entropy	entropy	NOUN
cana-1518	440	22	generation	generation	NOUN
cana-1518	440	23	in	in	ADP
cana-1518	440	24	nanofluid	nanofluid	NOUN
cana-1518	440	25	over	over	ADP
cana-1518	440	26	a	a	DET
cana-1518	440	27	stretching	stretch	VERB
cana-1518	440	28	sheet	sheet	NOUN
cana-1518	440	29	with	with	ADP
cana-1518	440	30	partial	partial	ADJ
cana-1518	440	31	slip	slip	NOUN
cana-1518	440	32	and	and	CCONJ
cana-1518	440	33	nonlinear	nonlinear	ADJ
cana-1518	440	34	thermal	thermal	ADJ
cana-1518	440	35	radiation	radiation	NOUN
cana-1518	440	36	,	,	PUNCT
cana-1518	440	37	iran	iran	PROPN
cana-1518	440	38	j.	j.	PROPN
cana-1518	440	39	sci	sci	PROPN
cana-1518	440	40	.	.	PROPN
cana-1518	441	1	technol	technol	PROPN
cana-1518	441	2	.	.	PUNCT
cana-1518	442	1	trans	trans	PROPN
cana-1518	442	2	.	.	PROPN
cana-1518	442	3	mech	mech	PROPN
cana-1518	442	4	.	.	PUNCT
cana-1518	443	1	eng	eng	PROPN
cana-1518	443	2	.	.	PROPN
cana-1518	444	1	43	43	NUM
cana-1518	444	2	(	(	PUNCT
cana-1518	444	3	2019	2019	NUM
cana-1518	444	4	)	)	PUNCT
cana-1518	444	5	707	707	NUM
cana-1518	444	6	-	-	SYM
cana-1518	444	7	718	718	NUM
cana-1518	444	8	.	.	PUNCT
cana-1518	445	1	[	[	X
cana-1518	445	2	40	40	NUM
cana-1518	445	3	]	]	X
cana-1518	445	4	f.	f.	PROPN
cana-1518	445	5	mabood	mabood	PROPN
cana-1518	445	6	,	,	PUNCT
cana-1518	445	7	k.	k.	PROPN
cana-1518	445	8	das	das	PROPN
cana-1518	445	9	,	,	PUNCT
cana-1518	445	10	outlining	outline	VERB
cana-1518	445	11	the	the	DET
cana-1518	445	12	impact	impact	NOUN
cana-1518	445	13	of	of	ADP
cana-1518	445	14	melting	melt	VERB
cana-1518	445	15	on	on	ADP
cana-1518	445	16	mhd	mhd	PROPN
cana-1518	445	17	casson	casson	PROPN
cana-1518	445	18	fluid	fluid	PROPN
cana-1518	445	19	flow	flow	NOUN
cana-1518	445	20	past	past	ADP
cana-1518	445	21	a	a	DET
cana-1518	445	22	stretching	stretch	VERB
cana-1518	445	23	sheet	sheet	NOUN
cana-1518	445	24	in	in	ADP
cana-1518	445	25	a	a	DET
cana-1518	445	26	porous	porous	ADJ
cana-1518	445	27	medium	medium	NOUN
cana-1518	445	28	with	with	ADP
cana-1518	445	29	radiation	radiation	NOUN
cana-1518	445	30	,	,	PUNCT
cana-1518	445	31	helyion	helyion	NOUN
cana-1518	445	32	5	5	NUM
cana-1518	445	33	(	(	PUNCT
cana-1518	445	34	2019	2019	NUM
cana-1518	445	35	)	)	PUNCT
cana-1518	445	36	,	,	PUNCT
cana-1518	445	37	e01216	e01216	VERB
cana-1518	445	38	.	.	PUNCT
cana-1518	446	1	[	[	X
cana-1518	446	2	41	41	NUM
cana-1518	446	3	]	]	X
cana-1518	446	4	s.m	s.m	PROPN
cana-1518	446	5	.	.	PROPN
cana-1518	446	6	ibrahim	ibrahim	PROPN
cana-1518	446	7	,	,	PUNCT
cana-1518	446	8	p.v	p.v	PROPN
cana-1518	446	9	.	.	PROPN
cana-1518	446	10	kumar	kumar	PROPN
cana-1518	446	11	,	,	PUNCT
cana-1518	446	12	g.	g.	PROPN
cana-1518	446	13	lorenzini	lorenzini	PROPN
cana-1518	446	14	,	,	PUNCT
cana-1518	446	15	e.	e.	PROPN
cana-1518	446	16	lorenzini	lorenzini	PROPN
cana-1518	446	17	,	,	PUNCT
cana-1518	446	18	f.	f.	PROPN
cana-1518	446	19	mabood	mabood	PROPN
cana-1518	446	20	,	,	PUNCT
cana-1518	446	21	numerical	numerical	ADJ
cana-1518	446	22	study	study	NOUN
cana-1518	446	23	of	of	ADP
cana-1518	446	24	the	the	DET
cana-1518	446	25	onset	onset	NOUN
cana-1518	446	26	of	of	ADP
cana-1518	446	27	chemical	chemical	ADJ
cana-1518	446	28	reaction	reaction	NOUN
cana-1518	446	29	.	.	PUNCT