id	sid	tid	token	lemma	pos
cana-4262	1	1	communications	communication	NOUN
cana-4262	1	2	on	on	ADP
cana-4262	1	3	applied	apply	VERB
cana-4262	1	4	nonlinear	nonlinear	ADJ
cana-4262	1	5	analysis	analysis	NOUN
cana-4262	1	6	issn	issn	NOUN
cana-4262	1	7	:	:	PUNCT
cana-4262	1	8	1074	1074	NUM
cana-4262	1	9	-	-	PUNCT
cana-4262	1	10	133x	133x	NUM
cana-4262	1	11	vol	vol	NOUN
cana-4262	1	12	32	32	NUM
cana-4262	1	13	no	no	NOUN
cana-4262	1	14	.	.	PUNCT
cana-4262	2	1	9s	9s	NUM
cana-4262	2	2	(	(	PUNCT
cana-4262	2	3	2025	2025	NUM
cana-4262	2	4	)	)	PUNCT
cana-4262	2	5	1651	1651	NUM
cana-4262	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	2	7	study	study	NOUN
cana-4262	2	8	of	of	ADP
cana-4262	2	9	convective	convective	ADJ
cana-4262	2	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	2	11	flow	flow	NOUN
cana-4262	2	12	of	of	ADP
cana-4262	2	13	casson	casson	PROPN
cana-4262	2	14	fluids	fluid	NOUN
cana-4262	2	15	through	through	ADP
cana-4262	2	16	a	a	DET
cana-4262	2	17	porous	porous	ADJ
cana-4262	2	18	medium	medium	NOUN
cana-4262	2	19	incorporating	incorporate	VERB
cana-4262	2	20	the	the	DET
cana-4262	2	21	darcy	darcy	PROPN
cana-4262	2	22	-	-	PUNCT
cana-4262	2	23	forchheimer	forchheimer	PROPN
cana-4262	2	24	model	model	NOUN
cana-4262	2	25	and	and	CCONJ
cana-4262	2	26	influenced	influence	VERB
cana-4262	2	27	by	by	ADP
cana-4262	2	28	prescribed	prescribed	ADJ
cana-4262	2	29	heat	heat	NOUN
cana-4262	2	30	sources	source	NOUN
cana-4262	3	1	avinash	avinash	PROPN
cana-4262	3	2	b.	b.	PROPN
cana-4262	3	3	raut1,2	raut1,2	PROPN
cana-4262	3	4	,	,	PUNCT
cana-4262	3	5	pradeep	pradeep	PROPN
cana-4262	3	6	g	g	PROPN
cana-4262	3	7	janthe1	janthe1	PROPN
cana-4262	3	8	,	,	PUNCT
cana-4262	3	9	jagadish	jagadish	PROPN
cana-4262	3	10	v.	v.	CCONJ
cana-4262	3	11	tawade1	tawade1	PROPN
cana-4262	3	12	,	,	PUNCT
cana-4262	3	13	*	*	PROPN
cana-4262	3	14	1department	1department	NUM
cana-4262	3	15	of	of	ADP
cana-4262	3	16	mathematics	mathematic	NOUN
cana-4262	3	17	,	,	PUNCT
cana-4262	3	18	vishwakarma	vishwakarma	PROPN
cana-4262	3	19	university	university	NOUN
cana-4262	3	20	,	,	PUNCT
cana-4262	3	21	pune	pune	NOUN
cana-4262	3	22	,	,	PUNCT
cana-4262	3	23	india	india	PROPN
cana-4262	3	24	2department	2department	NUM
cana-4262	3	25	of	of	ADP
cana-4262	3	26	engineering	engineering	PROPN
cana-4262	3	27	sciences	sciences	PROPN
cana-4262	3	28	&	&	CCONJ
cana-4262	3	29	humanities	humanity	NOUN
cana-4262	3	30	,	,	PUNCT
cana-4262	3	31	vishwakarma	vishwakarma	PROPN
cana-4262	3	32	institute	institute	PROPN
cana-4262	3	33	of	of	ADP
cana-4262	3	34	technology	technology	PROPN
cana-4262	3	35	,	,	PUNCT
cana-4262	3	36	pune	pune	NOUN
cana-4262	3	37	,	,	PUNCT
cana-4262	3	38	india	india	PROPN
cana-4262	3	39	avinash.raut@vit.edu	avinash.raut@vit.edu	PROPN
cana-4262	3	40	,	,	PUNCT
cana-4262	3	41	pradeepjanthe@gmail.com	pradeepjanthe@gmail.com	PROPN
cana-4262	3	42	,	,	PUNCT
cana-4262	3	43	jagadish.tawade@vupune.ac.in	jagadish.tawade@vupune.ac.in	NUM
cana-4262	3	44	article	article	NOUN
cana-4262	3	45	history	history	NOUN
cana-4262	3	46	:	:	PUNCT
cana-4262	3	47	received	receive	VERB
cana-4262	3	48	:	:	PUNCT
cana-4262	3	49	12	12	NUM
cana-4262	3	50	-	-	SYM
cana-4262	3	51	01	01	NUM
cana-4262	3	52	-	-	PUNCT
cana-4262	3	53	2025	2025	NUM
cana-4262	3	54	revised	revise	VERB
cana-4262	3	55	:	:	PUNCT
cana-4262	3	56	15	15	NUM
cana-4262	3	57	-	-	NUM
cana-4262	3	58	02	02	NUM
cana-4262	3	59	-	-	PUNCT
cana-4262	3	60	2025	2025	NUM
cana-4262	3	61	accepted	accept	VERB
cana-4262	3	62	:	:	PUNCT
cana-4262	3	63	01	01	NUM
cana-4262	3	64	-	-	SYM
cana-4262	3	65	03	03	NUM
cana-4262	3	66	-	-	PUNCT
cana-4262	3	67	2025	2025	NUM
cana-4262	3	68	abstract	abstract	NOUN
cana-4262	3	69	:	:	PUNCT
cana-4262	3	70	this	this	DET
cana-4262	3	71	study	study	NOUN
cana-4262	3	72	investigates	investigate	VERB
cana-4262	3	73	the	the	DET
cana-4262	3	74	heat	heat	NOUN
cana-4262	3	75	and	and	CCONJ
cana-4262	3	76	mass	mass	NOUN
cana-4262	3	77	transfer	transfer	NOUN
cana-4262	3	78	properties	property	NOUN
cana-4262	3	79	of	of	ADP
cana-4262	3	80	a	a	DET
cana-4262	3	81	2d	2d	NOUN
cana-4262	3	82	electrically	electrically	ADV
cana-4262	3	83	conducting	conduct	VERB
cana-4262	3	84	incompressible	incompressible	ADJ
cana-4262	3	85	casson	casson	NOUN
cana-4262	3	86	fluid	fluid	NOUN
cana-4262	3	87	flowing	flow	VERB
cana-4262	3	88	through	through	ADP
cana-4262	3	89	a	a	DET
cana-4262	3	90	porous	porous	ADJ
cana-4262	3	91	medium	medium	NOUN
cana-4262	3	92	over	over	ADP
cana-4262	3	93	a	a	DET
cana-4262	3	94	stretching	stretch	VERB
cana-4262	3	95	sheet	sheet	NOUN
cana-4262	3	96	.	.	PUNCT
cana-4262	4	1	the	the	DET
cana-4262	4	2	analysis	analysis	NOUN
cana-4262	4	3	considers	consider	VERB
cana-4262	4	4	the	the	DET
cana-4262	4	5	effects	effect	NOUN
cana-4262	4	6	of	of	ADP
cana-4262	4	7	a	a	DET
cana-4262	4	8	magnetic	magnetic	ADJ
cana-4262	4	9	field	field	NOUN
cana-4262	4	10	,	,	PUNCT
cana-4262	4	11	heat	heat	NOUN
cana-4262	4	12	generation	generation	NOUN
cana-4262	4	13	/	/	SYM
cana-4262	4	14	absorption	absorption	NOUN
cana-4262	4	15	,	,	PUNCT
cana-4262	4	16	and	and	CCONJ
cana-4262	4	17	chemical	chemical	NOUN
cana-4262	4	18	reactions	reaction	NOUN
cana-4262	4	19	.	.	PUNCT
cana-4262	5	1	the	the	DET
cana-4262	5	2	casson	casson	PROPN
cana-4262	5	3	fluid	fluid	NOUN
cana-4262	5	4	model	model	NOUN
cana-4262	5	5	is	be	AUX
cana-4262	5	6	employed	employ	VERB
cana-4262	5	7	to	to	PART
cana-4262	5	8	describe	describe	VERB
cana-4262	5	9	the	the	DET
cana-4262	5	10	non	non	ADJ
cana-4262	5	11	-	-	ADJ
cana-4262	5	12	newtonian	newtonian	ADJ
cana-4262	5	13	behaviour	behaviour	NOUN
cana-4262	5	14	of	of	ADP
cana-4262	5	15	the	the	DET
cana-4262	5	16	fluid	fluid	NOUN
cana-4262	5	17	,	,	PUNCT
cana-4262	5	18	which	which	PRON
cana-4262	5	19	is	be	AUX
cana-4262	5	20	relevant	relevant	ADJ
cana-4262	5	21	in	in	ADP
cana-4262	5	22	biomechanics	biomechanic	NOUN
cana-4262	5	23	and	and	CCONJ
cana-4262	5	24	polymer	polymer	NOUN
cana-4262	5	25	industries	industry	NOUN
cana-4262	5	26	due	due	ADP
cana-4262	5	27	to	to	ADP
cana-4262	5	28	its	its	PRON
cana-4262	5	29	yield	yield	NOUN
cana-4262	5	30	stress	stress	NOUN
cana-4262	5	31	.	.	PUNCT
cana-4262	6	1	a	a	DET
cana-4262	6	2	numerical	numerical	ADJ
cana-4262	6	3	simulation	simulation	NOUN
cana-4262	6	4	is	be	AUX
cana-4262	6	5	performed	perform	VERB
cana-4262	6	6	to	to	PART
cana-4262	6	7	estimate	estimate	VERB
cana-4262	6	8	the	the	DET
cana-4262	6	9	flow	flow	NOUN
cana-4262	6	10	of	of	ADP
cana-4262	6	11	a	a	DET
cana-4262	6	12	casson	casson	PROPN
cana-4262	6	13	nanofluid	nanofluid	NOUN
cana-4262	6	14	over	over	ADP
cana-4262	6	15	a	a	DET
cana-4262	6	16	stretching	stretch	VERB
cana-4262	6	17	surface	surface	NOUN
cana-4262	6	18	.	.	PUNCT
cana-4262	7	1	the	the	DET
cana-4262	7	2	governing	govern	VERB
cana-4262	7	3	boundary	boundary	ADJ
cana-4262	7	4	layer	layer	NOUN
cana-4262	7	5	equations	equation	NOUN
cana-4262	7	6	are	be	AUX
cana-4262	7	7	transformed	transform	VERB
cana-4262	7	8	into	into	ADP
cana-4262	7	9	ordinary	ordinary	ADJ
cana-4262	7	10	differential	differential	ADJ
cana-4262	7	11	equations	equation	NOUN
cana-4262	7	12	using	use	VERB
cana-4262	7	13	a	a	DET
cana-4262	7	14	stream	stream	NOUN
cana-4262	7	15	function	function	NOUN
cana-4262	7	16	formulation	formulation	NOUN
cana-4262	7	17	and	and	CCONJ
cana-4262	7	18	solved	solve	VERB
cana-4262	7	19	numerically	numerically	ADV
cana-4262	7	20	using	use	VERB
cana-4262	7	21	the	the	DET
cana-4262	7	22	bvp4c	bvp4c	PROPN
cana-4262	7	23	method	method	NOUN
cana-4262	7	24	.	.	PUNCT
cana-4262	8	1	the	the	DET
cana-4262	8	2	results	result	NOUN
cana-4262	8	3	show	show	VERB
cana-4262	8	4	that	that	SCONJ
cana-4262	8	5	the	the	DET
cana-4262	8	6	non	non	ADJ
cana-4262	8	7	-	-	ADJ
cana-4262	8	8	dimensional	dimensional	ADJ
cana-4262	8	9	parameters	parameter	NOUN
cana-4262	8	10	significantly	significantly	ADV
cana-4262	8	11	affect	affect	VERB
cana-4262	8	12	the	the	DET
cana-4262	8	13	energy	energy	NOUN
cana-4262	8	14	,	,	PUNCT
cana-4262	8	15	concentration	concentration	NOUN
cana-4262	8	16	,	,	PUNCT
cana-4262	8	17	and	and	CCONJ
cana-4262	8	18	velocity	velocity	NOUN
cana-4262	8	19	profiles	profile	NOUN
cana-4262	8	20	.	.	PUNCT
cana-4262	9	1	the	the	DET
cana-4262	9	2	yield	yield	NOUN
cana-4262	9	3	stress	stress	NOUN
cana-4262	9	4	of	of	ADP
cana-4262	9	5	the	the	DET
cana-4262	9	6	casson	casson	PROPN
cana-4262	9	7	fluid	fluid	NOUN
cana-4262	9	8	is	be	AUX
cana-4262	9	9	found	find	VERB
cana-4262	9	10	to	to	PART
cana-4262	9	11	impact	impact	VERB
cana-4262	9	12	the	the	DET
cana-4262	9	13	flow	flow	NOUN
cana-4262	9	14	resistance	resistance	NOUN
cana-4262	9	15	,	,	PUNCT
cana-4262	9	16	velocity	velocity	NOUN
cana-4262	9	17	,	,	PUNCT
cana-4262	9	18	and	and	CCONJ
cana-4262	9	19	temperature	temperature	NOUN
cana-4262	9	20	profiles	profile	NOUN
cana-4262	9	21	,	,	PUNCT
cana-4262	9	22	differing	differ	VERB
cana-4262	9	23	from	from	ADP
cana-4262	9	24	those	those	PRON
cana-4262	9	25	of	of	ADP
cana-4262	9	26	newtonian	newtonian	ADJ
cana-4262	9	27	fluids	fluid	NOUN
cana-4262	9	28	.	.	PUNCT
cana-4262	10	1	specifically	specifically	ADV
cana-4262	10	2	,	,	PUNCT
cana-4262	10	3	higher	high	ADJ
cana-4262	10	4	yield	yield	NOUN
cana-4262	10	5	stress	stress	NOUN
cana-4262	10	6	leads	lead	VERB
cana-4262	10	7	to	to	ADP
cana-4262	10	8	lower	low	ADJ
cana-4262	10	9	velocity	velocity	NOUN
cana-4262	10	10	fields	field	NOUN
cana-4262	10	11	and	and	CCONJ
cana-4262	10	12	altered	alter	VERB
cana-4262	10	13	thermal	thermal	ADJ
cana-4262	10	14	profiles	profile	NOUN
cana-4262	10	15	.	.	PUNCT
cana-4262	11	1	keywords	keyword	NOUN
cana-4262	11	2	:	:	PUNCT
cana-4262	11	3	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	11	4	,	,	PUNCT
cana-4262	11	5	casson	casson	PROPN
cana-4262	11	6	nanofluid	nanofluid	PROPN
cana-4262	11	7	;	;	PUNCT
cana-4262	11	8	darcy	darcy	PROPN
cana-4262	11	9	–	–	PUNCT
cana-4262	11	10	forchheimer	forchheimer	PROPN
cana-4262	11	11	model	model	NOUN
cana-4262	11	12	,	,	PUNCT
cana-4262	11	13	heat	heat	NOUN
cana-4262	11	14	source	source	NOUN
cana-4262	11	15	/	/	SYM
cana-4262	11	16	sink	sink	NOUN
cana-4262	11	17	,	,	PUNCT
cana-4262	11	18	porous	porous	ADJ
cana-4262	11	19	medium	medium	ADJ
cana-4262	11	20	,	,	PUNCT
cana-4262	11	21	unsteady	unsteady	ADJ
cana-4262	11	22	parameter	parameter	NOUN
cana-4262	11	23	,	,	PUNCT
cana-4262	11	24	prescribed	prescribed	ADJ
cana-4262	11	25	heat	heat	NOUN
cana-4262	11	26	source	source	NOUN
cana-4262	11	27	.	.	PUNCT
cana-4262	12	1	introduction	introduction	NOUN
cana-4262	12	2	:	:	PUNCT
cana-4262	12	3	significant	significant	ADJ
cana-4262	12	4	attention	attention	NOUN
cana-4262	12	5	has	have	AUX
cana-4262	12	6	been	be	AUX
cana-4262	12	7	given	give	VERB
cana-4262	12	8	to	to	ADP
cana-4262	12	9	studying	study	VERB
cana-4262	12	10	the	the	DET
cana-4262	12	11	flow	flow	NOUN
cana-4262	12	12	dynamics	dynamic	NOUN
cana-4262	12	13	and	and	CCONJ
cana-4262	12	14	heat	heat	NOUN
cana-4262	12	15	transfer	transfer	NOUN
cana-4262	12	16	characteristics	characteristic	NOUN
cana-4262	12	17	of	of	ADP
cana-4262	12	18	a	a	DET
cana-4262	12	19	stretching	stretch	VERB
cana-4262	12	20	sheet	sheet	NOUN
cana-4262	12	21	within	within	ADP
cana-4262	12	22	the	the	DET
cana-4262	12	23	boundary	boundary	ADJ
cana-4262	12	24	layer	layer	NOUN
cana-4262	12	25	.	.	PUNCT
cana-4262	13	1	the	the	DET
cana-4262	13	2	analysis	analysis	NOUN
cana-4262	13	3	of	of	ADP
cana-4262	13	4	flow	flow	NOUN
cana-4262	13	5	over	over	ADP
cana-4262	13	6	a	a	DET
cana-4262	13	7	sheet	sheet	NOUN
cana-4262	13	8	undergoing	undergo	VERB
cana-4262	13	9	stretching	stretching	NOUN
cana-4262	13	10	is	be	AUX
cana-4262	13	11	crucial	crucial	ADJ
cana-4262	13	12	for	for	ADP
cana-4262	13	13	various	various	ADJ
cana-4262	13	14	engineering	engineering	NOUN
cana-4262	13	15	applications	application	NOUN
cana-4262	13	16	,	,	PUNCT
cana-4262	13	17	particularly	particularly	ADV
cana-4262	13	18	in	in	ADP
cana-4262	13	19	fields	field	NOUN
cana-4262	13	20	like	like	ADP
cana-4262	13	21	metallurgy	metallurgy	NOUN
cana-4262	13	22	.	.	PUNCT
cana-4262	14	1	fluid	fluid	ADJ
cana-4262	14	2	dynamics	dynamic	NOUN
cana-4262	14	3	has	have	AUX
cana-4262	14	4	become	become	VERB
cana-4262	14	5	an	an	DET
cana-4262	14	6	essential	essential	ADJ
cana-4262	14	7	area	area	NOUN
cana-4262	14	8	of	of	ADP
cana-4262	14	9	scientific	scientific	ADJ
cana-4262	14	10	research	research	NOUN
cana-4262	14	11	in	in	ADP
cana-4262	14	12	modern	modern	ADJ
cana-4262	14	13	times	time	NOUN
cana-4262	14	14	,	,	PUNCT
cana-4262	14	15	fueling	fuel	VERB
cana-4262	14	16	innovations	innovation	NOUN
cana-4262	14	17	across	across	ADP
cana-4262	14	18	industries	industry	NOUN
cana-4262	14	19	such	such	ADJ
cana-4262	14	20	as	as	ADP
cana-4262	14	21	aerospace	aerospace	NOUN
cana-4262	14	22	,	,	PUNCT
cana-4262	14	23	automotive	automotive	ADJ
cana-4262	14	24	,	,	PUNCT
cana-4262	14	25	civil	civil	ADJ
cana-4262	14	26	engineering	engineering	NOUN
cana-4262	14	27	,	,	PUNCT
cana-4262	14	28	environmental	environmental	ADJ
cana-4262	14	29	science	science	NOUN
cana-4262	14	30	,	,	PUNCT
cana-4262	14	31	biomedical	biomedical	ADJ
cana-4262	14	32	engineering	engineering	NOUN
cana-4262	14	33	,	,	PUNCT
cana-4262	14	34	oil	oil	NOUN
cana-4262	14	35	and	and	CCONJ
cana-4262	14	36	gas	gas	NOUN
cana-4262	14	37	,	,	PUNCT
cana-4262	14	38	chemical	chemical	NOUN
cana-4262	14	39	engineering	engineering	NOUN
cana-4262	14	40	,	,	PUNCT
cana-4262	14	41	and	and	CCONJ
cana-4262	14	42	sports	sport	NOUN
cana-4262	14	43	.	.	PUNCT
cana-4262	15	1	these	these	DET
cana-4262	15	2	interdisciplinary	interdisciplinary	ADJ
cana-4262	15	3	applications	application	NOUN
cana-4262	15	4	underscore	underscore	VERB
cana-4262	15	5	the	the	DET
cana-4262	15	6	profound	profound	ADJ
cana-4262	15	7	influence	influence	NOUN
cana-4262	15	8	of	of	ADP
cana-4262	15	9	fluid	fluid	ADJ
cana-4262	15	10	dynamics	dynamic	NOUN
cana-4262	15	11	research	research	NOUN
cana-4262	15	12	on	on	ADP
cana-4262	15	13	contemporary	contemporary	ADJ
cana-4262	15	14	technology	technology	NOUN
cana-4262	15	15	and	and	CCONJ
cana-4262	15	16	society	society	NOUN
cana-4262	15	17	.	.	PUNCT
cana-4262	16	1	nonuniform	nonuniform	ADJ
cana-4262	16	2	heating	heating	NOUN
cana-4262	16	3	has	have	AUX
cana-4262	16	4	proven	prove	VERB
cana-4262	16	5	effective	effective	ADJ
cana-4262	16	6	in	in	ADP
cana-4262	16	7	controlling	control	VERB
cana-4262	16	8	transport	transport	NOUN
cana-4262	16	9	phenomena	phenomenon	NOUN
cana-4262	16	10	in	in	ADP
cana-4262	16	11	complex	complex	ADJ
cana-4262	16	12	systems	system	NOUN
cana-4262	16	13	.	.	PUNCT
cana-4262	17	1	one	one	NUM
cana-4262	17	2	approach	approach	NOUN
cana-4262	17	3	involves	involve	VERB
cana-4262	17	4	using	use	VERB
cana-4262	17	5	nonuniform	nonuniform	ADJ
cana-4262	17	6	heating	heating	NOUN
cana-4262	17	7	based	base	VERB
cana-4262	17	8	on	on	ADP
cana-4262	17	9	a	a	DET
cana-4262	17	10	half	half	ADJ
cana-4262	17	11	-	-	PUNCT
cana-4262	17	12	sinusoidal	sinusoidal	NOUN
cana-4262	17	13	pattern	pattern	NOUN
cana-4262	17	14	,	,	PUNCT
cana-4262	17	15	with	with	ADP
cana-4262	17	16	or	or	CCONJ
cana-4262	17	17	without	without	ADP
cana-4262	17	18	a	a	DET
cana-4262	17	19	mailto:avinash.raut@vit.edu	mailto:avinash.raut@vit.edu	NOUN
cana-4262	17	20	mailto:pradeepjanthe@gmail.com	mailto:pradeepjanthe@gmail.com	NOUN
cana-4262	17	21	mailto:jagadish.tawade@vupune.ac.in	mailto:jagadish.tawade@vupune.ac.in	PROPN
cana-4262	17	22	communications	communication	NOUN
cana-4262	17	23	on	on	ADP
cana-4262	17	24	applied	apply	VERB
cana-4262	17	25	nonlinear	nonlinear	ADJ
cana-4262	17	26	analysis	analysis	NOUN
cana-4262	17	27	issn	issn	NOUN
cana-4262	17	28	:	:	PUNCT
cana-4262	17	29	1074	1074	NUM
cana-4262	17	30	-	-	PUNCT
cana-4262	17	31	133x	133x	NUM
cana-4262	17	32	vol	vol	NOUN
cana-4262	17	33	32	32	NUM
cana-4262	17	34	no	no	NOUN
cana-4262	17	35	.	.	PUNCT
cana-4262	18	1	9s	9s	NUM
cana-4262	18	2	(	(	PUNCT
cana-4262	18	3	2025	2025	NUM
cana-4262	18	4	)	)	PUNCT
cana-4262	18	5	1652	1652	NUM
cana-4262	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	18	7	temperature	temperature	NOUN
cana-4262	18	8	offset	offset	NOUN
cana-4262	18	9	.	.	PUNCT
cana-4262	19	1	this	this	DET
cana-4262	19	2	technique	technique	NOUN
cana-4262	19	3	is	be	AUX
cana-4262	19	4	widely	widely	ADV
cana-4262	19	5	applicable	applicable	ADJ
cana-4262	19	6	in	in	ADP
cana-4262	19	7	fields	field	NOUN
cana-4262	19	8	like	like	ADP
cana-4262	19	9	heat	heat	NOUN
cana-4262	19	10	exchangers	exchanger	NOUN
cana-4262	19	11	,	,	PUNCT
cana-4262	19	12	mixing	mix	VERB
cana-4262	19	13	industries	industry	NOUN
cana-4262	19	14	,	,	PUNCT
cana-4262	19	15	crystal	crystal	NOUN
cana-4262	19	16	growth	growth	NOUN
cana-4262	19	17	,	,	PUNCT
cana-4262	19	18	material	material	NOUN
cana-4262	19	19	processing	processing	NOUN
cana-4262	19	20	,	,	PUNCT
cana-4262	19	21	pharmaceuticals	pharmaceutical	NOUN
cana-4262	19	22	,	,	PUNCT
cana-4262	19	23	medical	medical	ADJ
cana-4262	19	24	devices	device	NOUN
cana-4262	19	25	,	,	PUNCT
cana-4262	19	26	and	and	CCONJ
cana-4262	19	27	electronic	electronic	ADJ
cana-4262	19	28	cooling	cooling	NOUN
cana-4262	19	29	.	.	PUNCT
cana-4262	20	1	the	the	DET
cana-4262	20	2	complexity	complexity	NOUN
cana-4262	20	3	of	of	ADP
cana-4262	20	4	convective	convective	ADJ
cana-4262	20	5	dynamics	dynamic	NOUN
cana-4262	20	6	under	under	ADP
cana-4262	20	7	nonuniform	nonuniform	ADJ
cana-4262	20	8	heating	heating	NOUN
cana-4262	20	9	is	be	AUX
cana-4262	20	10	heightened	heighten	VERB
cana-4262	20	11	by	by	ADP
cana-4262	20	12	factors	factor	NOUN
cana-4262	20	13	such	such	ADJ
cana-4262	20	14	as	as	ADP
cana-4262	20	15	geometry	geometry	NOUN
cana-4262	20	16	,	,	PUNCT
cana-4262	20	17	orientation	orientation	NOUN
cana-4262	20	18	,	,	PUNCT
cana-4262	20	19	boundary	boundary	ADJ
cana-4262	20	20	conditions	condition	NOUN
cana-4262	20	21	,	,	PUNCT
cana-4262	20	22	and	and	CCONJ
cana-4262	20	23	multiphysics	multiphysic	NOUN
cana-4262	20	24	interactions	interaction	NOUN
cana-4262	20	25	.	.	PUNCT
cana-4262	21	1	however	however	ADV
cana-4262	21	2	,	,	PUNCT
cana-4262	21	3	there	there	PRON
cana-4262	21	4	is	be	VERB
cana-4262	21	5	limited	limited	ADJ
cana-4262	21	6	literature	literature	NOUN
cana-4262	21	7	addressing	address	VERB
cana-4262	21	8	these	these	DET
cana-4262	21	9	concepts	concept	NOUN
cana-4262	21	10	.	.	PUNCT
cana-4262	22	1	sakiadis	sakiadis	PROPN
cana-4262	22	2	,	,	PUNCT
cana-4262	22	3	byron	byron	PROPN
cana-4262	22	4	c.	c.	PROPN
cana-4262	23	1	[	[	X
cana-4262	23	2	1	1	X
cana-4262	23	3	]	]	PUNCT
cana-4262	23	4	investigated	investigate	VERB
cana-4262	23	5	boundary	boundary	ADJ
cana-4262	23	6	-	-	PUNCT
cana-4262	23	7	layer	layer	NOUN
cana-4262	23	8	behavior	behavior	NOUN
cana-4262	23	9	on	on	ADP
cana-4262	23	10	continuous	continuous	ADJ
cana-4262	23	11	solid	solid	ADJ
cana-4262	23	12	surfaces	surface	NOUN
cana-4262	23	13	,	,	PUNCT
cana-4262	23	14	while	while	SCONJ
cana-4262	23	15	crane	crane	NOUN
cana-4262	23	16	[	[	X
cana-4262	23	17	2	2	NUM
cana-4262	23	18	]	]	PUNCT
cana-4262	23	19	studied	study	VERB
cana-4262	23	20	the	the	DET
cana-4262	23	21	heat	heat	NOUN
cana-4262	23	22	transfer	transfer	NOUN
cana-4262	23	23	and	and	CCONJ
cana-4262	23	24	flow	flow	NOUN
cana-4262	23	25	dynamics	dynamic	NOUN
cana-4262	23	26	of	of	ADP
cana-4262	23	27	electrically	electrically	ADV
cana-4262	23	28	conductive	conductive	ADJ
cana-4262	23	29	,	,	PUNCT
cana-4262	23	30	viscous	viscous	ADJ
cana-4262	23	31	fluids	fluid	NOUN
cana-4262	23	32	over	over	ADP
cana-4262	23	33	a	a	DET
cana-4262	23	34	stretched	stretch	VERB
cana-4262	23	35	fluid	fluid	ADJ
cana-4262	23	36	layer	layer	NOUN
cana-4262	23	37	.	.	PUNCT
cana-4262	24	1	farooq	farooq	PROPN
cana-4262	24	2	et	et	PROPN
cana-4262	24	3	al	al	PROPN
cana-4262	24	4	.	.	PUNCT
cana-4262	25	1	[	[	X
cana-4262	25	2	3	3	X
cana-4262	25	3	]	]	PUNCT
cana-4262	25	4	explored	explore	VERB
cana-4262	25	5	the	the	DET
cana-4262	25	6	impact	impact	NOUN
cana-4262	25	7	of	of	ADP
cana-4262	25	8	non	non	ADJ
cana-4262	25	9	-	-	ADJ
cana-4262	25	10	similar	similar	ADJ
cana-4262	25	11	modeling	modeling	NOUN
cana-4262	25	12	on	on	ADP
cana-4262	25	13	the	the	DET
cana-4262	25	14	darcyforchheimer	darcyforchheimer	ADJ
cana-4262	25	15	-	-	PUNCT
cana-4262	25	16	brinkman	brinkman	NOUN
cana-4262	25	17	model	model	NOUN
cana-4262	25	18	for	for	ADP
cana-4262	25	19	forced	force	VERB
cana-4262	25	20	convection	convection	NOUN
cana-4262	25	21	of	of	ADP
cana-4262	25	22	casson	casson	PROPN
cana-4262	25	23	nanofluid	nanofluid	PROPN
cana-4262	25	24	in	in	ADP
cana-4262	25	25	non	non	ADJ
cana-4262	25	26	-	-	ADJ
cana-4262	25	27	darcy	darcy	ADJ
cana-4262	25	28	porous	porous	ADJ
cana-4262	25	29	media	medium	NOUN
cana-4262	25	30	.	.	PUNCT
cana-4262	26	1	shoaib	shoaib	PROPN
cana-4262	26	2	et	et	PROPN
cana-4262	26	3	al	al	PROPN
cana-4262	26	4	.	.	PUNCT
cana-4262	27	1	[	[	X
cana-4262	27	2	4	4	NUM
cana-4262	27	3	-	-	SYM
cana-4262	27	4	5	5	NUM
cana-4262	27	5	]	]	PUNCT
cana-4262	27	6	examined	examine	VERB
cana-4262	27	7	mhd	mhd	PROPN
cana-4262	27	8	casson	casson	PROPN
cana-4262	27	9	nanofluid	nanofluid	PROPN
cana-4262	27	10	flow	flow	NOUN
cana-4262	27	11	in	in	ADP
cana-4262	27	12	a	a	DET
cana-4262	27	13	darcy	darcy	NOUN
cana-4262	27	14	-	-	PUNCT
cana-4262	27	15	forchheimer	forchheimer	ADJ
cana-4262	27	16	porous	porous	ADJ
cana-4262	27	17	medium	medium	NOUN
cana-4262	27	18	with	with	ADP
cana-4262	27	19	heat	heat	NOUN
cana-4262	27	20	source	source	NOUN
cana-4262	27	21	and	and	CCONJ
cana-4262	27	22	arrhenius	arrhenius	NOUN
cana-4262	27	23	activation	activation	NOUN
cana-4262	27	24	energy	energy	NOUN
cana-4262	27	25	,	,	PUNCT
cana-4262	27	26	applying	apply	VERB
cana-4262	27	27	neural	neural	ADJ
cana-4262	27	28	networks	network	NOUN
cana-4262	27	29	,	,	PUNCT
cana-4262	27	30	and	and	CCONJ
cana-4262	27	31	also	also	ADV
cana-4262	27	32	studied	study	VERB
cana-4262	27	33	the	the	DET
cana-4262	27	34	effects	effect	NOUN
cana-4262	27	35	of	of	ADP
cana-4262	27	36	thermal	thermal	ADJ
cana-4262	27	37	energy	energy	NOUN
cana-4262	27	38	on	on	ADP
cana-4262	27	39	mhd	mhd	PROPN
cana-4262	27	40	casson	casson	PROPN
cana-4262	27	41	fluid	fluid	NOUN
cana-4262	27	42	through	through	ADP
cana-4262	27	43	a	a	DET
cana-4262	27	44	forchheimer	forchheimer	ADJ
cana-4262	27	45	porous	porous	ADJ
cana-4262	27	46	medium	medium	NOUN
cana-4262	27	47	with	with	ADP
cana-4262	27	48	an	an	DET
cana-4262	27	49	inclined	inclined	ADJ
cana-4262	27	50	non	non	ADJ
cana-4262	27	51	-	-	ADJ
cana-4262	27	52	linear	linear	ADJ
cana-4262	27	53	surface	surface	NOUN
cana-4262	27	54	using	use	VERB
cana-4262	27	55	a	a	DET
cana-4262	27	56	soft	soft	ADJ
cana-4262	27	57	computing	computing	NOUN
cana-4262	27	58	approach	approach	NOUN
cana-4262	27	59	.	.	PUNCT
cana-4262	28	1	farooq	farooq	PROPN
cana-4262	28	2	et	et	PROPN
cana-4262	28	3	al	al	PROPN
cana-4262	28	4	.	.	PUNCT
cana-4262	29	1	[	[	X
cana-4262	29	2	6	6	NUM
cana-4262	29	3	]	]	PUNCT
cana-4262	29	4	investigated	investigate	VERB
cana-4262	29	5	the	the	DET
cana-4262	29	6	modeling	modeling	NOUN
cana-4262	29	7	and	and	CCONJ
cana-4262	29	8	non	non	ADJ
cana-4262	29	9	-	-	ADJ
cana-4262	29	10	similar	similar	ADJ
cana-4262	29	11	analysis	analysis	NOUN
cana-4262	29	12	of	of	ADP
cana-4262	29	13	the	the	DET
cana-4262	29	14	darcy	darcy	NOUN
cana-4262	29	15	-	-	PUNCT
cana-4262	29	16	forchheimerbrinkman	forchheimerbrinkman	NOUN
cana-4262	29	17	model	model	NOUN
cana-4262	29	18	for	for	ADP
cana-4262	29	19	casson	casson	PROPN
cana-4262	29	20	fluid	fluid	NOUN
cana-4262	29	21	flow	flow	NOUN
cana-4262	29	22	in	in	ADP
cana-4262	29	23	a	a	DET
cana-4262	29	24	porous	porous	ADJ
cana-4262	29	25	medium	medium	NOUN
cana-4262	29	26	.	.	PUNCT
cana-4262	30	1	seth	seth	PROPN
cana-4262	30	2	et	et	PROPN
cana-4262	30	3	al	al	PROPN
cana-4262	30	4	.	.	PUNCT
cana-4262	31	1	[	[	X
cana-4262	31	2	7	7	X
cana-4262	31	3	]	]	PUNCT
cana-4262	31	4	explored	explore	VERB
cana-4262	31	5	double	double	ADJ
cana-4262	31	6	-	-	PUNCT
cana-4262	31	7	diffusive	diffusive	ADJ
cana-4262	31	8	mhd	mhd	NOUN
cana-4262	31	9	casson	casson	PROPN
cana-4262	31	10	fluid	fluid	NOUN
cana-4262	31	11	flow	flow	NOUN
cana-4262	31	12	in	in	ADP
cana-4262	31	13	a	a	DET
cana-4262	31	14	non	non	ADJ
cana-4262	31	15	-	-	ADJ
cana-4262	31	16	darcy	darcy	ADJ
cana-4262	31	17	porous	porous	ADJ
cana-4262	31	18	medium	medium	NOUN
cana-4262	31	19	with	with	ADP
cana-4262	31	20	effects	effect	NOUN
cana-4262	31	21	of	of	ADP
cana-4262	31	22	newtonian	newtonian	ADJ
cana-4262	31	23	heating	heating	NOUN
cana-4262	31	24	and	and	CCONJ
cana-4262	31	25	thermodiffusion	thermodiffusion	NOUN
cana-4262	31	26	.	.	PUNCT
cana-4262	32	1	durairaj	durairaj	VERB
cana-4262	32	2	et	et	PROPN
cana-4262	32	3	al	al	PROPN
cana-4262	32	4	.	.	PUNCT
cana-4262	33	1	[	[	X
cana-4262	33	2	8	8	NUM
cana-4262	33	3	]	]	PUNCT
cana-4262	33	4	examined	examine	VERB
cana-4262	33	5	heat	heat	NOUN
cana-4262	33	6	generating	generating	NOUN
cana-4262	33	7	/	/	SYM
cana-4262	33	8	absorbing	absorbing	NOUN
cana-4262	33	9	and	and	CCONJ
cana-4262	33	10	chemically	chemically	ADV
cana-4262	33	11	reacting	react	VERB
cana-4262	33	12	casson	casson	NOUN
cana-4262	33	13	fluid	fluid	NOUN
cana-4262	33	14	flow	flow	NOUN
cana-4262	33	15	over	over	ADP
cana-4262	33	16	a	a	DET
cana-4262	33	17	vertical	vertical	ADJ
cana-4262	33	18	cone	cone	NOUN
cana-4262	33	19	and	and	CCONJ
cana-4262	33	20	flat	flat	ADJ
cana-4262	33	21	plate	plate	NOUN
cana-4262	33	22	,	,	PUNCT
cana-4262	33	23	saturated	saturate	VERB
cana-4262	33	24	in	in	ADP
cana-4262	33	25	a	a	DET
cana-4262	33	26	non	non	ADJ
cana-4262	33	27	-	-	ADJ
cana-4262	33	28	darcy	darcy	ADJ
cana-4262	33	29	porous	porous	ADJ
cana-4262	33	30	medium	medium	NOUN
cana-4262	33	31	.	.	PUNCT
cana-4262	34	1	jat	jat	PROPN
cana-4262	34	2	et	et	PROPN
cana-4262	34	3	al	al	PROPN
cana-4262	34	4	.	.	PUNCT
cana-4262	35	1	[	[	X
cana-4262	35	2	9	9	NUM
cana-4262	35	3	]	]	PUNCT
cana-4262	35	4	analyzed	analyze	VERB
cana-4262	35	5	the	the	DET
cana-4262	35	6	significance	significance	NOUN
cana-4262	35	7	of	of	ADP
cana-4262	35	8	darcy	darcy	PROPN
cana-4262	35	9	–	–	PUNCT
cana-4262	35	10	forchheimer	forchheimer	PROPN
cana-4262	35	11	casson	casson	PROPN
cana-4262	35	12	fluid	fluid	NOUN
cana-4262	35	13	flow	flow	NOUN
cana-4262	35	14	past	past	ADP
cana-4262	35	15	a	a	DET
cana-4262	35	16	non	non	ADJ
cana-4262	35	17	-	-	ADJ
cana-4262	35	18	permeable	permeable	ADJ
cana-4262	35	19	curved	curved	ADJ
cana-4262	35	20	stretching	stretch	VERB
cana-4262	35	21	sheet	sheet	NOUN
cana-4262	35	22	,	,	PUNCT
cana-4262	35	23	considering	consider	VERB
cana-4262	35	24	heat	heat	NOUN
cana-4262	35	25	and	and	CCONJ
cana-4262	35	26	mass	mass	NOUN
cana-4262	35	27	transfer	transfer	NOUN
cana-4262	35	28	impacts	impact	NOUN
cana-4262	35	29	.	.	PUNCT
cana-4262	36	1	waheed	waheed	PROPN
cana-4262	36	2	et	et	PROPN
cana-4262	36	3	al	al	PROPN
cana-4262	36	4	.	.	PUNCT
cana-4262	37	1	[	[	X
cana-4262	37	2	10	10	NUM
cana-4262	37	3	]	]	PUNCT
cana-4262	37	4	studied	study	VERB
cana-4262	37	5	unsteady	unsteady	ADJ
cana-4262	37	6	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	37	7	squeezing	squeeze	VERB
cana-4262	37	8	darcy	darcy	NOUN
cana-4262	37	9	-	-	PUNCT
cana-4262	37	10	forchheimer	forchheimer	ADJ
cana-4262	37	11	flow	flow	NOUN
cana-4262	37	12	of	of	ADP
cana-4262	37	13	fe3o4	fe3o4	PROPN
cana-4262	37	14	casson	casson	NOUN
cana-4262	37	15	nanofluid	nanofluid	NOUN
cana-4262	37	16	,	,	PUNCT
cana-4262	37	17	examining	examine	VERB
cana-4262	37	18	the	the	DET
cana-4262	37	19	effects	effect	NOUN
cana-4262	37	20	of	of	ADP
cana-4262	37	21	heat	heat	NOUN
cana-4262	37	22	source	source	NOUN
cana-4262	37	23	/	/	SYM
cana-4262	37	24	sink	sink	NOUN
cana-4262	37	25	and	and	CCONJ
cana-4262	37	26	thermal	thermal	ADJ
cana-4262	37	27	radiation	radiation	NOUN
cana-4262	37	28	.	.	PUNCT
cana-4262	38	1	sharma	sharma	PROPN
cana-4262	38	2	et	et	PROPN
cana-4262	38	3	al	al	PROPN
cana-4262	38	4	.	.	PUNCT
cana-4262	39	1	[	[	X
cana-4262	39	2	11	11	NUM
cana-4262	39	3	]	]	PUNCT
cana-4262	39	4	investigated	investigate	VERB
cana-4262	39	5	the	the	DET
cana-4262	39	6	dynamics	dynamic	NOUN
cana-4262	39	7	of	of	ADP
cana-4262	39	8	mhd	mhd	PROPN
cana-4262	39	9	casson	casson	PROPN
cana-4262	39	10	fluid	fluid	NOUN
cana-4262	39	11	in	in	ADP
cana-4262	39	12	a	a	DET
cana-4262	39	13	non	non	ADJ
cana-4262	39	14	-	-	ADJ
cana-4262	39	15	darcy	darcy	ADJ
cana-4262	39	16	porous	porous	ADJ
cana-4262	39	17	medium	medium	NOUN
cana-4262	39	18	,	,	PUNCT
cana-4262	39	19	with	with	ADP
cana-4262	39	20	the	the	DET
cana-4262	39	21	impact	impact	NOUN
cana-4262	39	22	of	of	ADP
cana-4262	39	23	thermal	thermal	ADJ
cana-4262	39	24	radiation	radiation	NOUN
cana-4262	39	25	,	,	PUNCT
cana-4262	39	26	dufour	dufour	PROPN
cana-4262	39	27	-	-	PUNCT
cana-4262	39	28	soret	soret	PROPN
cana-4262	39	29	effects	effect	NOUN
cana-4262	39	30	,	,	PUNCT
cana-4262	39	31	and	and	CCONJ
cana-4262	39	32	chemical	chemical	NOUN
cana-4262	39	33	reactions	reaction	NOUN
cana-4262	39	34	.	.	PUNCT
cana-4262	40	1	ragupathi	ragupathi	NOUN
cana-4262	40	2	et	et	PROPN
cana-4262	40	3	al	al	PROPN
cana-4262	40	4	.	.	PUNCT
cana-4262	41	1	[	[	X
cana-4262	41	2	12	12	NUM
cana-4262	41	3	]	]	PUNCT
cana-4262	41	4	applied	apply	VERB
cana-4262	41	5	arrhenius	arrhenius	PROPN
cana-4262	41	6	kinetics	kinetic	NOUN
cana-4262	41	7	to	to	PART
cana-4262	41	8	mhd	mhd	VERB
cana-4262	41	9	radiative	radiative	PROPN
cana-4262	41	10	von	von	PROPN
cana-4262	41	11	kármán	kármán	PROPN
cana-4262	41	12	casson	casson	PROPN
cana-4262	41	13	nanofluid	nanofluid	PROPN
cana-4262	41	14	flow	flow	NOUN
cana-4262	41	15	in	in	ADP
cana-4262	41	16	a	a	DET
cana-4262	41	17	darcyforchheimer	darcyforchheimer	ADJ
cana-4262	41	18	porous	porous	ADJ
cana-4262	41	19	medium	medium	NOUN
cana-4262	41	20	with	with	ADP
cana-4262	41	21	an	an	DET
cana-4262	41	22	adjustable	adjustable	ADJ
cana-4262	41	23	heat	heat	NOUN
cana-4262	41	24	source	source	NOUN
cana-4262	41	25	.	.	PUNCT
cana-4262	42	1	li	li	PROPN
cana-4262	42	2	,	,	PUNCT
cana-4262	42	3	shuguang	shuguang	PROPN
cana-4262	42	4	,	,	PUNCT
cana-4262	42	5	et	et	PROPN
cana-4262	42	6	al	al	PROPN
cana-4262	42	7	.	.	PUNCT
cana-4262	43	1	[	[	X
cana-4262	43	2	13	13	NUM
cana-4262	43	3	]	]	PUNCT
cana-4262	43	4	examined	examine	VERB
cana-4262	43	5	the	the	DET
cana-4262	43	6	effects	effect	NOUN
cana-4262	43	7	of	of	ADP
cana-4262	43	8	activation	activation	NOUN
cana-4262	43	9	energy	energy	NOUN
cana-4262	43	10	and	and	CCONJ
cana-4262	43	11	chemical	chemical	NOUN
cana-4262	43	12	reaction	reaction	NOUN
cana-4262	43	13	on	on	ADP
cana-4262	43	14	unsteady	unsteady	ADJ
cana-4262	43	15	mhd	mhd	PROPN
cana-4262	43	16	dissipative	dissipative	ADJ
cana-4262	43	17	darcy	darcy	PROPN
cana-4262	43	18	–	–	PUNCT
cana-4262	43	19	forchheimer	forchheimer	PROPN
cana-4262	43	20	squeezed	squeeze	VERB
cana-4262	43	21	flow	flow	NOUN
cana-4262	43	22	of	of	ADP
cana-4262	43	23	casson	casson	PROPN
cana-4262	43	24	fluid	fluid	NOUN
cana-4262	43	25	in	in	ADP
cana-4262	43	26	a	a	DET
cana-4262	43	27	horizontal	horizontal	ADJ
cana-4262	43	28	channel	channel	NOUN
cana-4262	43	29	.	.	PUNCT
cana-4262	44	1	faisal	faisal	PROPN
cana-4262	44	2	et	et	PROPN
cana-4262	44	3	al	al	PROPN
cana-4262	44	4	.	.	PUNCT
cana-4262	45	1	[	[	X
cana-4262	45	2	14	14	NUM
cana-4262	45	3	]	]	PUNCT
cana-4262	45	4	conducted	conduct	VERB
cana-4262	45	5	numerical	numerical	ADJ
cana-4262	45	6	assessments	assessment	NOUN
cana-4262	45	7	of	of	ADP
cana-4262	45	8	prescribed	prescribed	ADJ
cana-4262	45	9	heat	heat	NOUN
cana-4262	45	10	sources	source	NOUN
cana-4262	45	11	on	on	ADP
cana-4262	45	12	unsteady	unsteady	ADJ
cana-4262	45	13	3d	3d	NUM
cana-4262	45	14	flow	flow	NOUN
cana-4262	45	15	of	of	ADP
cana-4262	45	16	williamson	williamson	PROPN
cana-4262	45	17	nanoliquid	nanoliquid	PROPN
cana-4262	45	18	through	through	ADP
cana-4262	45	19	porous	porous	ADJ
cana-4262	45	20	media	medium	NOUN
cana-4262	45	21	.	.	PUNCT
cana-4262	46	1	tufail	tufail	PROPN
cana-4262	46	2	et	et	PROPN
cana-4262	46	3	al	al	PROPN
cana-4262	46	4	.	.	PUNCT
cana-4262	47	1	[	[	X
cana-4262	47	2	15	15	NUM
cana-4262	47	3	]	]	PUNCT
cana-4262	47	4	explored	explore	VERB
cana-4262	47	5	chemically	chemically	ADV
cana-4262	47	6	reacting	react	VERB
cana-4262	47	7	mixed	mixed	ADJ
cana-4262	47	8	convective	convective	ADJ
cana-4262	47	9	casson	casson	NOUN
cana-4262	47	10	fluid	fluid	NOUN
cana-4262	47	11	flow	flow	NOUN
cana-4262	47	12	in	in	ADP
cana-4262	47	13	the	the	DET
cana-4262	47	14	presence	presence	NOUN
cana-4262	47	15	of	of	ADP
cana-4262	47	16	mhd	mhd	NOUN
cana-4262	47	17	and	and	CCONJ
cana-4262	47	18	a	a	DET
cana-4262	47	19	porous	porous	ADJ
cana-4262	47	20	medium	medium	NOUN
cana-4262	47	21	through	through	ADP
cana-4262	47	22	group	group	NOUN
cana-4262	47	23	theoretical	theoretical	ADJ
cana-4262	47	24	analysis	analysis	NOUN
cana-4262	47	25	.	.	PUNCT
cana-4262	48	1	mohamed	mohamed	PROPN
cana-4262	48	2	,	,	PUNCT
cana-4262	48	3	r.	r.	PROPN
cana-4262	48	4	a.	a.	PROPN
cana-4262	48	5	,	,	PUNCT
cana-4262	48	6	et	et	PROPN
cana-4262	48	7	al	al	PROPN
cana-4262	48	8	.	.	PUNCT
cana-4262	49	1	[	[	X
cana-4262	49	2	16	16	NUM
cana-4262	49	3	]	]	PUNCT
cana-4262	49	4	studied	study	VERB
cana-4262	49	5	mhd	mhd	PROPN
cana-4262	49	6	casson	casson	PROPN
cana-4262	49	7	nanofluid	nanofluid	PROPN
cana-4262	49	8	flow	flow	NOUN
cana-4262	49	9	over	over	ADP
cana-4262	49	10	a	a	DET
cana-4262	49	11	stretching	stretch	VERB
cana-4262	49	12	surface	surface	NOUN
cana-4262	49	13	embedded	embed	VERB
cana-4262	49	14	in	in	ADP
cana-4262	49	15	a	a	DET
cana-4262	49	16	porous	porous	ADJ
cana-4262	49	17	medium	medium	NOUN
cana-4262	49	18	,	,	PUNCT
cana-4262	49	19	considering	consider	VERB
cana-4262	49	20	thermal	thermal	ADJ
cana-4262	49	21	radiation	radiation	NOUN
cana-4262	49	22	and	and	CCONJ
cana-4262	49	23	slip	slip	NOUN
cana-4262	49	24	conditions	condition	NOUN
cana-4262	49	25	.	.	PUNCT
cana-4262	50	1	ramesh	ramesh	PROPN
cana-4262	50	2	et	et	PROPN
cana-4262	50	3	al	al	PROPN
cana-4262	50	4	.	.	PUNCT
cana-4262	51	1	[	[	X
cana-4262	51	2	17	17	NUM
cana-4262	51	3	]	]	PUNCT
cana-4262	51	4	examined	examine	VERB
cana-4262	51	5	the	the	DET
cana-4262	51	6	darcy	darcy	PROPN
cana-4262	51	7	-	-	PUNCT
cana-4262	51	8	forchheimer	forchheimer	PROPN
cana-4262	51	9	flow	flow	NOUN
cana-4262	51	10	of	of	ADP
cana-4262	51	11	casson	casson	PROPN
cana-4262	51	12	nanofluid	nanofluid	PROPN
cana-4262	51	13	with	with	ADP
cana-4262	51	14	heat	heat	PROPN
cana-4262	51	15	source	source	NOUN
cana-4262	51	16	/	/	SYM
cana-4262	51	17	sink	sink	NOUN
cana-4262	51	18	in	in	ADP
cana-4262	51	19	a	a	DET
cana-4262	51	20	three	three	NUM
cana-4262	51	21	-	-	PUNCT
cana-4262	51	22	dimensional	dimensional	ADJ
cana-4262	51	23	context	context	NOUN
cana-4262	51	24	.	.	PUNCT
cana-4262	52	1	abbas	abbas	PROPN
cana-4262	52	2	et	et	PROPN
cana-4262	52	3	al	al	PROPN
cana-4262	52	4	.	.	PUNCT
cana-4262	53	1	[	[	X
cana-4262	53	2	18	18	NUM
cana-4262	53	3	]	]	PUNCT
cana-4262	53	4	analyzed	analyze	VERB
cana-4262	53	5	the	the	DET
cana-4262	53	6	influence	influence	NOUN
cana-4262	53	7	of	of	ADP
cana-4262	53	8	darcy	darcy	PROPN
cana-4262	53	9	-	-	PUNCT
cana-4262	53	10	forchheimer	forchheimer	PROPN
cana-4262	53	11	relation	relation	NOUN
cana-4262	53	12	on	on	ADP
cana-4262	53	13	mhd	mhd	PROPN
cana-4262	53	14	dissipative	dissipative	PROPN
cana-4262	53	15	thirdgrade	thirdgrade	NOUN
cana-4262	53	16	fluid	fluid	NOUN
cana-4262	53	17	flow	flow	NOUN
cana-4262	53	18	and	and	CCONJ
cana-4262	53	19	heat	heat	NOUN
cana-4262	53	20	transfer	transfer	NOUN
cana-4262	53	21	in	in	ADP
cana-4262	53	22	porous	porous	ADJ
cana-4262	53	23	media	medium	NOUN
cana-4262	53	24	with	with	ADP
cana-4262	53	25	joule	joule	NOUN
cana-4262	53	26	heating	heating	NOUN
cana-4262	53	27	effects	effect	NOUN
cana-4262	53	28	using	use	VERB
cana-4262	53	29	a	a	DET
cana-4262	53	30	numerical	numerical	ADJ
cana-4262	53	31	approach	approach	NOUN
cana-4262	53	32	.	.	PUNCT
cana-4262	54	1	kala	kala	PROPN
cana-4262	54	2	,	,	PUNCT
cana-4262	54	3	bhim	bhim	PROPN
cana-4262	54	4	sen	sen	PROPN
cana-4262	54	5	et	et	PROPN
cana-4262	54	6	al	al	PROPN
cana-4262	54	7	.	.	PUNCT
cana-4262	55	1	[	[	X
cana-4262	55	2	19	19	NUM
cana-4262	55	3	]	]	PUNCT
cana-4262	55	4	conducted	conduct	VERB
cana-4262	55	5	a	a	DET
cana-4262	55	6	numerical	numerical	ADJ
cana-4262	55	7	investigation	investigation	NOUN
cana-4262	55	8	of	of	ADP
cana-4262	55	9	the	the	DET
cana-4262	55	10	effects	effect	NOUN
cana-4262	55	11	of	of	ADP
cana-4262	55	12	darcy	darcy	PROPN
cana-4262	55	13	and	and	CCONJ
cana-4262	55	14	forchheimer	forchheimer	ADJ
cana-4262	55	15	parameters	parameter	NOUN
cana-4262	55	16	on	on	ADP
cana-4262	55	17	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	55	18	casson	casson	PROPN
cana-4262	55	19	fluid	fluid	NOUN
cana-4262	55	20	flow	flow	NOUN
cana-4262	55	21	through	through	ADP
cana-4262	55	22	non	non	ADJ
cana-4262	55	23	-	-	ADJ
cana-4262	55	24	darcy	darcy	ADJ
cana-4262	55	25	porous	porous	ADJ
cana-4262	55	26	media	medium	NOUN
cana-4262	55	27	.	.	PUNCT
cana-4262	56	1	eid	eid	PROPN
cana-4262	56	2	,	,	PUNCT
cana-4262	56	3	mohamed	mohamed	PROPN
cana-4262	56	4	r.	r.	PROPN
cana-4262	57	1	[	[	X
cana-4262	57	2	20	20	NUM
cana-4262	57	3	]	]	PUNCT
cana-4262	57	4	examined	examine	VERB
cana-4262	57	5	the	the	DET
cana-4262	57	6	thermal	thermal	ADJ
cana-4262	57	7	characteristics	characteristic	NOUN
cana-4262	57	8	of	of	ADP
cana-4262	57	9	3d	3d	NUM
cana-4262	57	10	nanofluid	nanofluid	PROPN
cana-4262	57	11	flow	flow	NOUN
cana-4262	57	12	over	over	ADP
cana-4262	57	13	a	a	DET
cana-4262	57	14	convectively	convectively	ADV
cana-4262	57	15	heated	heat	VERB
cana-4262	57	16	riga	riga	PROPN
cana-4262	57	17	surface	surface	NOUN
cana-4262	57	18	in	in	ADP
cana-4262	57	19	a	a	DET
cana-4262	57	20	darcy	darcy	NOUN
cana-4262	57	21	-	-	PUNCT
cana-4262	57	22	forchheimer	forchheimer	ADJ
cana-4262	57	23	porous	porous	ADJ
cana-4262	57	24	material	material	NOUN
cana-4262	57	25	,	,	PUNCT
cana-4262	57	26	considering	consider	VERB
cana-4262	57	27	linear	linear	ADJ
cana-4262	57	28	thermal	thermal	ADJ
cana-4262	57	29	radiation	radiation	NOUN
cana-4262	57	30	and	and	CCONJ
cana-4262	57	31	optimal	optimal	ADJ
cana-4262	57	32	analysis	analysis	NOUN
cana-4262	57	33	.	.	PUNCT
cana-4262	58	1	communications	communication	NOUN
cana-4262	58	2	on	on	ADP
cana-4262	58	3	applied	apply	VERB
cana-4262	58	4	nonlinear	nonlinear	ADJ
cana-4262	58	5	analysis	analysis	NOUN
cana-4262	58	6	issn	issn	NOUN
cana-4262	58	7	:	:	PUNCT
cana-4262	58	8	1074	1074	NUM
cana-4262	58	9	-	-	PUNCT
cana-4262	58	10	133x	133x	NUM
cana-4262	58	11	vol	vol	NOUN
cana-4262	58	12	32	32	NUM
cana-4262	58	13	no	no	NOUN
cana-4262	58	14	.	.	PUNCT
cana-4262	59	1	9s	9s	NUM
cana-4262	59	2	(	(	PUNCT
cana-4262	59	3	2025	2025	NUM
cana-4262	59	4	)	)	PUNCT
cana-4262	59	5	1653	1653	NUM
cana-4262	59	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	59	7	shampine	shampine	PROPN
cana-4262	59	8	et	et	PROPN
cana-4262	59	9	al	al	PROPN
cana-4262	59	10	.	.	PUNCT
cana-4262	60	1	[	[	X
cana-4262	60	2	21	21	NUM
cana-4262	60	3	]	]	PUNCT
cana-4262	60	4	presented	present	VERB
cana-4262	60	5	methods	method	NOUN
cana-4262	60	6	for	for	ADP
cana-4262	60	7	solving	solve	VERB
cana-4262	60	8	boundary	boundary	ADJ
cana-4262	60	9	value	value	NOUN
cana-4262	60	10	problems	problem	NOUN
cana-4262	60	11	for	for	ADP
cana-4262	60	12	ordinary	ordinary	ADJ
cana-4262	60	13	differential	differential	ADJ
cana-4262	60	14	equations	equation	NOUN
cana-4262	60	15	in	in	ADP
cana-4262	60	16	matlab	matlab	PROPN
cana-4262	60	17	with	with	ADP
cana-4262	60	18	the	the	DET
cana-4262	60	19	bvp4c	bvp4c	PROPN
cana-4262	60	20	solver	solver	NOUN
cana-4262	60	21	.	.	PUNCT
cana-4262	61	1	devi	devi	PROPN
cana-4262	61	2	and	and	CCONJ
cana-4262	61	3	sood	sood	PROPN
cana-4262	62	1	[	[	X
cana-4262	62	2	22	22	NUM
cana-4262	62	3	]	]	PUNCT
cana-4262	62	4	investigated	investigate	VERB
cana-4262	62	5	convective	convective	ADJ
cana-4262	62	6	mhd	mhd	NOUN
cana-4262	62	7	flow	flow	NOUN
cana-4262	62	8	of	of	ADP
cana-4262	62	9	casson	casson	PROPN
cana-4262	62	10	fluid	fluid	NOUN
cana-4262	62	11	through	through	ADP
cana-4262	62	12	a	a	DET
cana-4262	62	13	porous	porous	ADJ
cana-4262	62	14	medium	medium	NOUN
cana-4262	62	15	using	use	VERB
cana-4262	62	16	the	the	DET
cana-4262	62	17	darcy	darcy	PROPN
cana-4262	62	18	-	-	PUNCT
cana-4262	62	19	forchheimer	forchheimer	PROPN
cana-4262	62	20	model	model	NOUN
cana-4262	62	21	,	,	PUNCT
cana-4262	62	22	under	under	ADP
cana-4262	62	23	the	the	DET
cana-4262	62	24	influence	influence	NOUN
cana-4262	62	25	of	of	ADP
cana-4262	62	26	prescribed	prescribed	ADJ
cana-4262	62	27	heat	heat	NOUN
cana-4262	62	28	sources	source	NOUN
cana-4262	62	29	.	.	PUNCT
cana-4262	63	1	mustafa	mustafa	PROPN
cana-4262	63	2	et	et	PROPN
cana-4262	63	3	al	al	PROPN
cana-4262	63	4	.	.	PUNCT
cana-4262	64	1	[	[	X
cana-4262	64	2	23	23	NUM
cana-4262	64	3	]	]	PUNCT
cana-4262	64	4	studied	study	VERB
cana-4262	64	5	unsteady	unsteady	ADJ
cana-4262	64	6	boundary	boundary	ADJ
cana-4262	64	7	layer	layer	NOUN
cana-4262	64	8	flow	flow	NOUN
cana-4262	64	9	of	of	ADP
cana-4262	64	10	casson	casson	PROPN
cana-4262	64	11	fluid	fluid	NOUN
cana-4262	64	12	due	due	ADP
cana-4262	64	13	to	to	ADP
cana-4262	64	14	an	an	DET
cana-4262	64	15	impulsively	impulsively	ADV
cana-4262	64	16	started	start	VERB
cana-4262	64	17	moving	move	VERB
cana-4262	64	18	flat	flat	ADJ
cana-4262	64	19	plate	plate	NOUN
cana-4262	64	20	.	.	PUNCT
cana-4262	65	1	eldabe	eldabe	NOUN
cana-4262	65	2	et	et	PROPN
cana-4262	65	3	al	al	PROPN
cana-4262	65	4	.	.	PUNCT
cana-4262	66	1	[	[	X
cana-4262	66	2	24	24	NUM
cana-4262	66	3	]	]	PUNCT
cana-4262	66	4	explored	explore	VERB
cana-4262	66	5	heat	heat	NOUN
cana-4262	66	6	transfer	transfer	NOUN
cana-4262	66	7	in	in	ADP
cana-4262	66	8	mhd	mhd	PROPN
cana-4262	66	9	nonnewtonian	nonnewtonian	PROPN
cana-4262	66	10	casson	casson	PROPN
cana-4262	66	11	fluid	fluid	NOUN
cana-4262	66	12	flow	flow	NOUN
cana-4262	66	13	between	between	ADP
cana-4262	66	14	two	two	NUM
cana-4262	66	15	rotating	rotate	VERB
cana-4262	66	16	cylinders	cylinder	NOUN
cana-4262	66	17	.	.	PUNCT
cana-4262	67	1	ishak	ishak	PROPN
cana-4262	67	2	et	et	PROPN
cana-4262	67	3	al	al	PROPN
cana-4262	67	4	.	.	PUNCT
cana-4262	68	1	[	[	X
cana-4262	68	2	25	25	NUM
cana-4262	68	3	]	]	PUNCT
cana-4262	68	4	studied	study	VERB
cana-4262	68	5	mixed	mixed	ADJ
cana-4262	68	6	convection	convection	NOUN
cana-4262	68	7	at	at	ADP
cana-4262	68	8	the	the	DET
cana-4262	68	9	stagnation	stagnation	NOUN
cana-4262	68	10	point	point	NOUN
cana-4262	68	11	flow	flow	NOUN
cana-4262	68	12	toward	toward	ADP
cana-4262	68	13	a	a	DET
cana-4262	68	14	vertical	vertical	ADJ
cana-4262	68	15	,	,	PUNCT
cana-4262	68	16	continuously	continuously	ADV
cana-4262	68	17	stretching	stretch	VERB
cana-4262	68	18	sheet	sheet	NOUN
cana-4262	68	19	.	.	PUNCT
cana-4262	69	1	bejawada	bejawada	PROPN
cana-4262	69	2	et	et	PROPN
cana-4262	69	3	al	al	PROPN
cana-4262	69	4	.	.	PUNCT
cana-4262	70	1	[	[	X
cana-4262	70	2	26	26	NUM
cana-4262	70	3	]	]	PUNCT
cana-4262	70	4	examined	examine	VERB
cana-4262	70	5	the	the	DET
cana-4262	70	6	radiation	radiation	NOUN
cana-4262	70	7	effect	effect	NOUN
cana-4262	70	8	on	on	ADP
cana-4262	70	9	mhd	mhd	PROPN
cana-4262	70	10	casson	casson	PROPN
cana-4262	70	11	fluid	fluid	NOUN
cana-4262	70	12	flow	flow	NOUN
cana-4262	70	13	over	over	ADP
cana-4262	70	14	an	an	DET
cana-4262	70	15	inclined	inclined	ADJ
cana-4262	70	16	non	non	ADJ
cana-4262	70	17	-	-	ADJ
cana-4262	70	18	linear	linear	ADJ
cana-4262	70	19	surface	surface	NOUN
cana-4262	70	20	with	with	ADP
cana-4262	70	21	chemical	chemical	ADJ
cana-4262	70	22	reactions	reaction	NOUN
cana-4262	70	23	in	in	ADP
cana-4262	70	24	a	a	DET
cana-4262	70	25	forchheimer	forchheimer	ADJ
cana-4262	70	26	porous	porous	ADJ
cana-4262	70	27	medium	medium	NOUN
cana-4262	70	28	.	.	PUNCT
cana-4262	71	1	thakur	thakur	PROPN
cana-4262	71	2	et	et	PROPN
cana-4262	71	3	al	al	PROPN
cana-4262	71	4	.	.	PUNCT
cana-4262	72	1	[	[	X
cana-4262	72	2	27	27	NUM
cana-4262	72	3	]	]	PUNCT
cana-4262	72	4	analyzed	analyze	VERB
cana-4262	72	5	the	the	DET
cana-4262	72	6	effect	effect	NOUN
cana-4262	72	7	of	of	ADP
cana-4262	72	8	prescribed	prescribed	ADJ
cana-4262	72	9	heat	heat	NOUN
cana-4262	72	10	sources	source	NOUN
cana-4262	72	11	on	on	ADP
cana-4262	72	12	convective	convective	ADJ
cana-4262	72	13	unsteady	unsteady	ADJ
cana-4262	72	14	mhd	mhd	NOUN
cana-4262	72	15	flow	flow	NOUN
cana-4262	72	16	of	of	ADP
cana-4262	72	17	williamson	williamson	PROPN
cana-4262	72	18	nanofluid	nanofluid	PROPN
cana-4262	72	19	through	through	ADP
cana-4262	72	20	porous	porous	ADJ
cana-4262	72	21	media	medium	NOUN
cana-4262	72	22	.	.	PUNCT
cana-4262	73	1	majeed	majeed	PROPN
cana-4262	73	2	et	et	PROPN
cana-4262	73	3	al	al	PROPN
cana-4262	73	4	.	.	PUNCT
cana-4262	74	1	[	[	X
cana-4262	74	2	28	28	NUM
cana-4262	74	3	]	]	PUNCT
cana-4262	74	4	investigated	investigate	VERB
cana-4262	74	5	unsteady	unsteady	ADJ
cana-4262	74	6	ferromagnetic	ferromagnetic	ADJ
cana-4262	74	7	liquid	liquid	ADJ
cana-4262	74	8	flow	flow	NOUN
cana-4262	74	9	and	and	CCONJ
cana-4262	74	10	heat	heat	NOUN
cana-4262	74	11	transfer	transfer	NOUN
cana-4262	74	12	analysis	analysis	NOUN
cana-4262	74	13	over	over	ADP
cana-4262	74	14	a	a	DET
cana-4262	74	15	stretching	stretch	VERB
cana-4262	74	16	sheet	sheet	NOUN
cana-4262	74	17	,	,	PUNCT
cana-4262	74	18	considering	consider	VERB
cana-4262	74	19	the	the	DET
cana-4262	74	20	effect	effect	NOUN
cana-4262	74	21	of	of	ADP
cana-4262	74	22	dipole	dipole	NOUN
cana-4262	74	23	and	and	CCONJ
cana-4262	74	24	prescribed	prescribe	VERB
cana-4262	74	25	heat	heat	NOUN
cana-4262	74	26	flux	flux	NOUN
cana-4262	74	27	.	.	PUNCT
cana-4262	75	1	this	this	DET
cana-4262	75	2	study	study	NOUN
cana-4262	75	3	investigates	investigate	VERB
cana-4262	75	4	the	the	DET
cana-4262	75	5	convective	convective	ADJ
cana-4262	75	6	heat	heat	NOUN
cana-4262	75	7	transfer	transfer	NOUN
cana-4262	75	8	dynamics	dynamic	NOUN
cana-4262	75	9	of	of	ADP
cana-4262	75	10	casson	casson	PROPN
cana-4262	75	11	fluid	fluid	NOUN
cana-4262	75	12	flow	flow	NOUN
cana-4262	75	13	through	through	ADP
cana-4262	75	14	porous	porous	ADJ
cana-4262	75	15	media	medium	NOUN
cana-4262	75	16	under	under	ADP
cana-4262	75	17	the	the	DET
cana-4262	75	18	influence	influence	NOUN
cana-4262	75	19	of	of	ADP
cana-4262	75	20	a	a	DET
cana-4262	75	21	nonuniform	nonuniform	ADJ
cana-4262	75	22	horizontal	horizontal	ADJ
cana-4262	75	23	magnetic	magnetic	ADJ
cana-4262	75	24	field	field	NOUN
cana-4262	75	25	.	.	PUNCT
cana-4262	76	1	by	by	ADP
cana-4262	76	2	examining	examine	VERB
cana-4262	76	3	the	the	DET
cana-4262	76	4	complex	complex	ADJ
cana-4262	76	5	interplay	interplay	NOUN
cana-4262	76	6	between	between	ADP
cana-4262	76	7	mixed	mixed	ADJ
cana-4262	76	8	convection	convection	NOUN
cana-4262	76	9	,	,	PUNCT
cana-4262	76	10	lorentz	lorentz	PROPN
cana-4262	76	11	force	force	NOUN
cana-4262	76	12	,	,	PUNCT
cana-4262	76	13	porous	porous	ADJ
cana-4262	76	14	media	medium	NOUN
cana-4262	76	15	,	,	PUNCT
cana-4262	76	16	and	and	CCONJ
cana-4262	76	17	spatially	spatially	ADV
cana-4262	76	18	variable	variable	ADJ
cana-4262	76	19	heating	heating	NOUN
cana-4262	76	20	,	,	PUNCT
cana-4262	76	21	this	this	DET
cana-4262	76	22	research	research	NOUN
cana-4262	76	23	provides	provide	VERB
cana-4262	76	24	fundamental	fundamental	ADJ
cana-4262	76	25	insights	insight	NOUN
cana-4262	76	26	into	into	ADP
cana-4262	76	27	thermo	thermo	NOUN
cana-4262	76	28	-	-	PUNCT
cana-4262	76	29	fluid	fluid	NOUN
cana-4262	76	30	dynamics	dynamic	NOUN
cana-4262	76	31	.	.	PUNCT
cana-4262	77	1	key	key	ADJ
cana-4262	77	2	contributions	contribution	NOUN
cana-4262	77	3	include	include	VERB
cana-4262	77	4	identifying	identify	VERB
cana-4262	77	5	optimal	optimal	ADJ
cana-4262	77	6	control	control	NOUN
cana-4262	77	7	parameters	parameter	NOUN
cana-4262	77	8	for	for	ADP
cana-4262	77	9	enhanced	enhanced	ADJ
cana-4262	77	10	thermal	thermal	ADJ
cana-4262	77	11	performance	performance	NOUN
cana-4262	77	12	and	and	CCONJ
cana-4262	77	13	elucidating	elucidate	VERB
cana-4262	77	14	the	the	DET
cana-4262	77	15	flow	flow	NOUN
cana-4262	77	16	dynamics	dynamic	NOUN
cana-4262	77	17	.	.	PUNCT
cana-4262	78	1	these	these	DET
cana-4262	78	2	findings	finding	NOUN
cana-4262	78	3	contribute	contribute	VERB
cana-4262	78	4	significantly	significantly	ADV
cana-4262	78	5	to	to	ADP
cana-4262	78	6	thermo	thermo	NOUN
cana-4262	78	7	-	-	PUNCT
cana-4262	78	8	fluid	fluid	NOUN
cana-4262	78	9	research	research	NOUN
cana-4262	78	10	,	,	PUNCT
cana-4262	78	11	offering	offer	VERB
cana-4262	78	12	valuable	valuable	ADJ
cana-4262	78	13	insights	insight	NOUN
cana-4262	78	14	for	for	ADP
cana-4262	78	15	designing	design	VERB
cana-4262	78	16	improved	improve	VERB
cana-4262	78	17	heat	heat	NOUN
cana-4262	78	18	transfer	transfer	NOUN
cana-4262	78	19	systems	system	NOUN
cana-4262	78	20	with	with	ADP
cana-4262	78	21	applications	application	NOUN
cana-4262	78	22	in	in	ADP
cana-4262	78	23	various	various	ADJ
cana-4262	78	24	engineering	engineering	NOUN
cana-4262	78	25	fields	field	NOUN
cana-4262	78	26	.	.	PUNCT
cana-4262	79	1	mathematical	mathematical	ADJ
cana-4262	79	2	formulation	formulation	NOUN
cana-4262	79	3	:	:	PUNCT
cana-4262	79	4	the	the	DET
cana-4262	79	5	present	present	ADJ
cana-4262	79	6	study	study	NOUN
cana-4262	79	7	considers	consider	VERB
cana-4262	79	8	an	an	DET
cana-4262	79	9	unsteady	unsteady	ADJ
cana-4262	79	10	casson	casson	PROPN
cana-4262	79	11	nanofluid	nanofluid	PROPN
cana-4262	79	12	flow	flow	NOUN
cana-4262	79	13	in	in	ADP
cana-4262	79	14	a	a	DET
cana-4262	79	15	porous	porous	ADJ
cana-4262	79	16	space	space	NOUN
cana-4262	79	17	,	,	PUNCT
cana-4262	79	18	where	where	SCONJ
cana-4262	79	19	the	the	DET
cana-4262	79	20	fluid	fluid	NOUN
cana-4262	79	21	flows	flow	VERB
cana-4262	79	22	past	past	ADP
cana-4262	79	23	a	a	DET
cana-4262	79	24	bidirectional	bidirectional	ADJ
cana-4262	79	25	stretched	stretch	VERB
cana-4262	79	26	surface	surface	NOUN
cana-4262	79	27	in	in	ADP
cana-4262	79	28	the	the	DET
cana-4262	79	29	stagnation	stagnation	NOUN
cana-4262	79	30	region	region	NOUN
cana-4262	79	31	figure	figure	NOUN
cana-4262	79	32	1	1	NUM
cana-4262	79	33	.	.	PUNCT
cana-4262	80	1	physical	physical	ADJ
cana-4262	80	2	configuration	configuration	NOUN
cana-4262	80	3	of	of	ADP
cana-4262	80	4	the	the	DET
cana-4262	80	5	study	study	NOUN
cana-4262	80	6	.	.	PUNCT
cana-4262	81	1	communications	communication	NOUN
cana-4262	81	2	on	on	ADP
cana-4262	81	3	applied	apply	VERB
cana-4262	81	4	nonlinear	nonlinear	ADJ
cana-4262	81	5	analysis	analysis	NOUN
cana-4262	81	6	issn	issn	NOUN
cana-4262	81	7	:	:	PUNCT
cana-4262	81	8	1074	1074	NUM
cana-4262	81	9	-	-	PUNCT
cana-4262	81	10	133x	133x	NUM
cana-4262	81	11	vol	vol	NOUN
cana-4262	81	12	32	32	NUM
cana-4262	81	13	no	no	NOUN
cana-4262	81	14	.	.	PUNCT
cana-4262	82	1	9s	9s	NUM
cana-4262	82	2	(	(	PUNCT
cana-4262	82	3	2025	2025	NUM
cana-4262	82	4	)	)	PUNCT
cana-4262	82	5	1654	1654	NUM
cana-4262	82	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	83	1	the	the	DET
cana-4262	83	2	heat	heat	NOUN
cana-4262	83	3	transfer	transfer	NOUN
cana-4262	83	4	analysis	analysis	NOUN
cana-4262	83	5	is	be	AUX
cana-4262	83	6	performed	perform	VERB
cana-4262	83	7	under	under	ADP
cana-4262	83	8	both	both	CCONJ
cana-4262	83	9	pst	pst	VERB
cana-4262	83	10	and	and	CCONJ
cana-4262	83	11	phf	phf	NOUN
cana-4262	83	12	conditions	condition	NOUN
cana-4262	83	13	,	,	PUNCT
cana-4262	83	14	with	with	ADP
cana-4262	83	15	the	the	DET
cana-4262	83	16	fluid	fluid	NOUN
cana-4262	83	17	flowing	flow	VERB
cana-4262	83	18	parallel	parallel	NOUN
cana-4262	83	19	to	to	ADP
cana-4262	83	20	the	the	DET
cana-4262	83	21	y	y	NOUN
cana-4262	83	22	-	-	PUNCT
cana-4262	83	23	axis	axis	NOUN
cana-4262	83	24	.	.	PUNCT
cana-4262	84	1	an	an	DET
cana-4262	84	2	unsteady	unsteady	ADJ
cana-4262	84	3	magnetic	magnetic	ADJ
cana-4262	84	4	field	field	NOUN
cana-4262	84	5	is	be	AUX
cana-4262	84	6	enforced	enforce	VERB
cana-4262	84	7	along	along	ADP
cana-4262	84	8	the	the	DET
cana-4262	84	9	surface	surface	NOUN
cana-4262	84	10	.	.	PUNCT
cana-4262	85	1	the	the	DET
cana-4262	85	2	equation	equation	NOUN
cana-4262	85	3	of	of	ADP
cana-4262	85	4	state	state	NOUN
cana-4262	85	5	for	for	ADP
cana-4262	85	6	the	the	DET
cana-4262	85	7	casson	casson	PROPN
cana-4262	85	8	fluid	fluid	NOUN
cana-4262	85	9	in	in	ADP
cana-4262	85	10	an	an	DET
cana-4262	85	11	isotropic	isotropic	ADJ
cana-4262	85	12	flow	flow	NOUN
cana-4262	85	13	is	be	AUX
cana-4262	85	14	given	give	VERB
cana-4262	85	15	by	by	ADP
cana-4262	85	16	mustafa	mustafa	PROPN
cana-4262	86	1	[	[	X
cana-4262	86	2	23	23	NUM
cana-4262	86	3	]	]	PUNCT
cana-4262	86	4	as	as	ADP
cana-4262	86	5	:	:	PUNCT
cana-4262	86	6	𝜏𝑖𝑗	𝜏𝑖𝑗	PROPN
cana-4262	86	7	=	=	SYM
cana-4262	86	8	{	{	PUNCT
cana-4262	86	9	(	(	PUNCT
cana-4262	86	10	2𝜇𝐵	2𝜇𝐵	NUM
cana-4262	86	11	+	+	NUM
cana-4262	86	12	𝜏𝑦	𝜏𝑦	PROPN
cana-4262	86	13	√2π	√2π	NUM
cana-4262	86	14	)	)	PUNCT
cana-4262	86	15	𝑒𝑖𝑗	𝑒𝑖𝑗	PROPN
cana-4262	86	16	,	,	PUNCT
cana-4262	86	17	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-4262	86	18	𝜋≥𝜋𝑐	𝜋≥𝜋𝑐	X
cana-4262	86	19	(	(	PUNCT
cana-4262	86	20	2𝜇𝐵	2𝜇𝐵	NUM
cana-4262	86	21	+	+	NUM
cana-4262	86	22	𝜏𝑦	𝜏𝑦	PROPN
cana-4262	86	23	√2π	√2π	NUM
cana-4262	86	24	)	)	PUNCT
cana-4262	86	25	𝑒𝑖𝑗	𝑒𝑖𝑗	PROPN
cana-4262	86	26	,	,	PUNCT
cana-4262	86	27	𝑓𝑜𝑟	𝑓𝑜𝑟	ADV
cana-4262	86	28	𝜋≤𝜋𝑐	𝜋≤𝜋𝑐	PUNCT
cana-4262	86	29	the	the	DET
cana-4262	86	30	mathematical	mathematical	ADJ
cana-4262	86	31	formulation	formulation	NOUN
cana-4262	86	32	of	of	ADP
cana-4262	86	33	the	the	DET
cana-4262	86	34	problem	problem	NOUN
cana-4262	86	35	is	be	AUX
cana-4262	86	36	based	base	VERB
cana-4262	86	37	on	on	ADP
cana-4262	86	38	the	the	DET
cana-4262	86	39	following	follow	VERB
cana-4262	86	40	governing	govern	VERB
cana-4262	86	41	equations	equation	NOUN
cana-4262	86	42	,	,	PUNCT
cana-4262	86	43	which	which	PRON
cana-4262	86	44	represent	represent	VERB
cana-4262	86	45	the	the	DET
cana-4262	86	46	conservation	conservation	NOUN
cana-4262	86	47	of	of	ADP
cana-4262	86	48	mass	mass	PROPN
cana-4262	86	49	,	,	PUNCT
cana-4262	86	50	momentum	momentum	NOUN
cana-4262	86	51	,	,	PUNCT
cana-4262	86	52	energy	energy	NOUN
cana-4262	86	53	,	,	PUNCT
cana-4262	86	54	and	and	CCONJ
cana-4262	86	55	concentration	concentration	NOUN
cana-4262	86	56	:	:	PUNCT
cana-4262	86	57	𝜕𝑢	𝜕𝑢	NOUN
cana-4262	86	58	𝜕𝑥	𝜕𝑥	NOUN
cana-4262	86	59	+	+	CCONJ
cana-4262	86	60	𝜕𝑣	𝜕𝑣	NOUN
cana-4262	86	61	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	86	62	=	=	SYM
cana-4262	86	63	0	0	NUM
cana-4262	86	64	(	(	PUNCT
cana-4262	86	65	1	1	NUM
cana-4262	86	66	)	)	PUNCT
cana-4262	86	67	𝜕𝑢	𝜕𝑢	NOUN
cana-4262	86	68	𝜕𝑡	𝜕𝑡	NOUN
cana-4262	86	69	+	+	NUM
cana-4262	86	70	𝑢	𝑢	X
cana-4262	86	71	𝜕𝑢	𝜕𝑢	NOUN
cana-4262	86	72	𝜕𝑥	𝜕𝑥	NOUN
cana-4262	86	73	+	+	CCONJ
cana-4262	87	1	𝑣	𝑣	DET
cana-4262	87	2	𝜕𝑢	𝜕𝑢	NOUN
cana-4262	87	3	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	87	4	=	=	PUNCT
cana-4262	87	5	𝑑𝑈1	𝑑𝑈1	PROPN
cana-4262	87	6	𝑑𝑥	𝑑𝑥	VERB
cana-4262	87	7	𝑈1	𝑈1	NOUN
cana-4262	87	8	+	+	CCONJ
cana-4262	87	9	𝑑𝑈1	𝑑𝑈1	PROPN
cana-4262	87	10	𝑑𝑡	𝑑𝑡	ADP
cana-4262	87	11	+	+	ADJ
cana-4262	87	12	(	(	PUNCT
cana-4262	87	13	1	1	NUM
cana-4262	87	14	+	+	SYM
cana-4262	87	15	1	1	NUM
cana-4262	87	16	𝛽1	𝛽1	NOUN
cana-4262	87	17	)	)	PUNCT
cana-4262	87	18	𝜈	𝜈	PROPN
cana-4262	87	19	𝜕2𝑢	𝜕2𝑢	PROPN
cana-4262	87	20	𝜕𝑦2	𝜕𝑦2	PROPN
cana-4262	87	21	+	+	CCONJ
cana-4262	87	22	𝐹(𝑈1	𝐹(𝑈1	PROPN
cana-4262	87	23	2	2	NUM
cana-4262	87	24	−	−	PROPN
cana-4262	87	25	𝑢2	𝑢2	PROPN
cana-4262	87	26	)	)	PUNCT
cana-4262	88	1	+	+	CCONJ
cana-4262	88	2	𝜎𝐵0	𝜎𝐵0	PROPN
cana-4262	88	3	2	2	NUM
cana-4262	88	4	𝜌	𝜌	X
cana-4262	88	5	(	(	PUNCT
cana-4262	88	6	𝑈1	𝑈1	NOUN
cana-4262	88	7	−	−	PROPN
cana-4262	88	8	𝑢	𝑢	NOUN
cana-4262	88	9	)	)	PUNCT
cana-4262	88	10	+	+	CCONJ
cana-4262	88	11	𝜈	𝜈	X
cana-4262	88	12	𝑘∗	𝑘∗	PROPN
cana-4262	88	13	(	(	PUNCT
cana-4262	88	14	𝑈1	𝑈1	NOUN
cana-4262	88	15	−	−	PROPN
cana-4262	88	16	𝑢	𝑢	NOUN
cana-4262	88	17	)	)	PUNCT
cana-4262	88	18	+	+	CCONJ
cana-4262	88	19	(	(	PUNCT
cana-4262	88	20	t	t	PROPN
cana-4262	88	21	−	−	PROPN
cana-4262	88	22	t∞)𝑔𝛽𝑇	t∞)𝑔𝛽𝑇	PROPN
cana-4262	88	23	∗	∗	NOUN
cana-4262	88	24	+	+	X
cana-4262	88	25	(	(	PUNCT
cana-4262	88	26	c	c	NOUN
cana-4262	88	27	−	−	NOUN
cana-4262	88	28	c∞)𝑔𝛽𝐶	c∞)𝑔𝛽𝐶	NOUN
cana-4262	88	29	∗	∗	NOUN
cana-4262	88	30	(	(	PUNCT
cana-4262	88	31	2	2	NUM
cana-4262	88	32	)	)	PUNCT
cana-4262	88	33	𝜕𝑇	𝜕𝑇	PROPN
cana-4262	88	34	𝜕𝑡	𝜕𝑡	NOUN
cana-4262	88	35	+	+	NUM
cana-4262	88	36	𝑢	𝑢	X
cana-4262	88	37	𝜕𝑇	𝜕𝑇	X
cana-4262	88	38	𝜕𝑥	𝜕𝑥	NOUN
cana-4262	89	1	+	+	CCONJ
cana-4262	89	2	𝑣	𝑣	DET
cana-4262	89	3	𝜕𝑇	𝜕𝑇	NOUN
cana-4262	89	4	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	89	5	=	=	SYM
cana-4262	89	6	𝛼	𝛼	PROPN
cana-4262	89	7	𝜕2𝑇	𝜕2𝑇	PROPN
cana-4262	89	8	𝜕𝑦2	𝜕𝑦2	NOUN
cana-4262	89	9	+	+	CCONJ
cana-4262	89	10	𝜌𝑃𝐶𝑃	𝜌𝑃𝐶𝑃	PROPN
cana-4262	89	11	(	(	PUNCT
cana-4262	89	12	𝜌𝐶	𝜌𝐶	NOUN
cana-4262	89	13	)	)	PUNCT
cana-4262	89	14	[	[	X
cana-4262	89	15	𝐷𝐵	𝐷𝐵	INTJ
cana-4262	89	16	(	(	PUNCT
cana-4262	89	17	𝜕𝐶	𝜕𝐶	NOUN
cana-4262	89	18	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	89	19	𝜕𝑇	𝜕𝑇	X
cana-4262	89	20	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	89	21	)	)	PUNCT
cana-4262	90	1	+	+	CCONJ
cana-4262	90	2	𝐷𝑇	𝐷𝑇	PROPN
cana-4262	90	3	𝑇∞	𝑇∞	PROPN
cana-4262	90	4	(	(	PUNCT
cana-4262	90	5	𝜕𝑇	𝜕𝑇	PROPN
cana-4262	90	6	𝜕𝑦	𝜕𝑦	X
cana-4262	90	7	)	)	PUNCT
cana-4262	90	8	2	2	NUM
cana-4262	90	9	]	]	PUNCT
cana-4262	90	10	+	+	CCONJ
cana-4262	90	11	𝜎𝐵0	𝜎𝐵0	PROPN
cana-4262	90	12	2	2	NUM
cana-4262	90	13	𝜌𝐶𝑃	𝜌𝐶𝑃	NOUN
cana-4262	90	14	u2	u2	NOUN
cana-4262	90	15	+	+	CCONJ
cana-4262	90	16	𝑞′′′	𝑞′′′	PROPN
cana-4262	90	17	𝜌𝐶𝑃	𝜌𝐶𝑃	PUNCT
cana-4262	90	18	(	(	PUNCT
cana-4262	90	19	3	3	X
cana-4262	90	20	)	)	PUNCT
cana-4262	90	21	𝜕𝐶	𝜕𝐶	PROPN
cana-4262	90	22	𝜕𝑡	𝜕𝑡	NOUN
cana-4262	90	23	+	+	NUM
cana-4262	90	24	𝑢	𝑢	PRON
cana-4262	90	25	𝜕𝐶	𝜕𝐶	PROPN
cana-4262	90	26	𝜕𝑥	𝜕𝑥	NOUN
cana-4262	90	27	+	+	CCONJ
cana-4262	90	28	𝑣	𝑣	DET
cana-4262	90	29	𝜕𝐶	𝜕𝐶	NOUN
cana-4262	90	30	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	90	31	=	=	SYM
cana-4262	90	32	𝐷𝐵	𝐷𝐵	PROPN
cana-4262	90	33	(	(	PUNCT
cana-4262	90	34	𝜕2𝐶	𝜕2𝐶	NOUN
cana-4262	90	35	𝜕𝑦2	𝜕𝑦2	ADJ
cana-4262	90	36	)	)	PUNCT
cana-4262	91	1	+	+	CCONJ
cana-4262	91	2	𝐷𝑇	𝐷𝑇	PROPN
cana-4262	91	3	𝑇∞	𝑇∞	PROPN
cana-4262	91	4	(	(	PUNCT
cana-4262	91	5	𝜕2𝑇	𝜕2𝑇	PROPN
cana-4262	91	6	𝜕𝑦2	𝜕𝑦2	PROPN
cana-4262	91	7	)	)	PUNCT
cana-4262	91	8	(	(	PUNCT
cana-4262	91	9	4	4	X
cana-4262	91	10	)	)	PUNCT
cana-4262	91	11	the	the	DET
cana-4262	91	12	corresponding	corresponding	ADJ
cana-4262	91	13	boundary	boundary	ADJ
cana-4262	91	14	conditions	condition	NOUN
cana-4262	91	15	are	be	AUX
cana-4262	91	16	as	as	SCONJ
cana-4262	91	17	follows	follow	VERB
cana-4262	91	18	:	:	PUNCT
cana-4262	91	19	𝑢	𝑢	X
cana-4262	91	20	=	=	SYM
cana-4262	92	1	𝑈𝑤	𝑈𝑤	NOUN
cana-4262	92	2	=	=	SYM
cana-4262	92	3	𝑎𝑥	𝑎𝑥	ADP
cana-4262	92	4	1	1	NUM
cana-4262	92	5	−	−	NOUN
cana-4262	92	6	𝑥𝑡	𝑥𝑡	ADP
cana-4262	92	7	;	;	PUNCT
cana-4262	92	8	𝑣	𝑣	X
cana-4262	92	9	=	=	SYM
cana-4262	92	10	0	0	NUM
cana-4262	92	11	;	;	PUNCT
cana-4262	92	12	𝐶	𝐶	PROPN
cana-4262	92	13	=	=	SYM
cana-4262	92	14	𝐶𝑤	𝐶𝑤	PROPN
cana-4262	92	15	=	=	PUNCT
cana-4262	92	16	𝐶∞	𝐶∞	PROPN
cana-4262	92	17	+	+	CCONJ
cana-4262	93	1	𝐴𝑥	𝐴𝑥	NOUN
cana-4262	93	2	1	1	NUM
cana-4262	93	3	−	−	NOUN
cana-4262	93	4	𝑥𝑡	𝑥𝑡	ADV
cana-4262	93	5	at	at	ADP
cana-4262	93	6	𝑦	𝑦	NOUN
cana-4262	93	7	=	=	SYM
cana-4262	93	8	0	0	NUM
cana-4262	93	9	𝑇	𝑇	NOUN
cana-4262	93	10	=	=	PUNCT
cana-4262	93	11	𝑇𝑤(𝑥	𝑇𝑤(𝑥	VERB
cana-4262	93	12	)	)	PUNCT
cana-4262	93	13	;	;	PUNCT
cana-4262	93	14	𝑢	𝑢	X
cana-4262	93	15	=	=	SYM
cana-4262	93	16	𝑈1	𝑈1	NOUN
cana-4262	93	17	=	=	SYM
cana-4262	93	18	𝑏𝑥	𝑏𝑥	PROPN
cana-4262	93	19	1	1	NUM
cana-4262	93	20	−	−	PROPN
cana-4262	93	21	𝑥𝑡	𝑥𝑡	ADV
cana-4262	93	22	where	where	SCONJ
cana-4262	93	23	,	,	PUNCT
cana-4262	93	24	𝑇	𝑇	PROPN
cana-4262	93	25	=	=	SYM
cana-4262	93	26	𝑇𝑤	𝑇𝑤	PROPN
cana-4262	93	27	=	=	SYM
cana-4262	93	28	𝑇∞	𝑇∞	PROPN
cana-4262	93	29	+	+	CCONJ
cana-4262	94	1	𝑆𝑥	𝑆𝑥	PROPN
cana-4262	94	2	1	1	NUM
cana-4262	94	3	−	−	NOUN
cana-4262	94	4	𝑥𝑡	𝑥𝑡	ADP
cana-4262	94	5	(	(	PUNCT
cana-4262	94	6	pst	pst	NOUN
cana-4262	94	7	)	)	PUNCT
cana-4262	94	8	−	−	NOUN
cana-4262	94	9	𝑘	𝑘	DET
cana-4262	94	10	𝜕𝑇	𝜕𝑇	NOUN
cana-4262	94	11	𝜕𝑦	𝜕𝑦	NOUN
cana-4262	94	12	=	=	SYM
cana-4262	94	13	𝑞𝑤	𝑞𝑤	NOUN
cana-4262	94	14	=	=	SYM
cana-4262	94	15	𝑇∞	𝑇∞	PROPN
cana-4262	94	16	+	+	CCONJ
cana-4262	94	17	𝐷𝑥	𝐷𝑥	PROPN
cana-4262	94	18	1	1	NUM
cana-4262	94	19	−	−	NOUN
cana-4262	94	20	𝑥𝑡	𝑥𝑡	PROPN
cana-4262	94	21	(	(	PUNCT
cana-4262	94	22	phf	phf	NOUN
cana-4262	94	23	)	)	PUNCT
cana-4262	94	24	(	(	PUNCT
cana-4262	94	25	5	5	X
cana-4262	94	26	)	)	PUNCT
cana-4262	94	27	𝑇	𝑇	PROPN
cana-4262	94	28	→	→	SYM
cana-4262	94	29	𝑇∞	𝑇∞	PROPN
cana-4262	94	30	;	;	PUNCT
cana-4262	94	31	𝐶	𝐶	PROPN
cana-4262	94	32	→	→	SYM
cana-4262	94	33	𝐶∞	𝐶∞	PROPN
cana-4262	94	34	as	as	ADP
cana-4262	94	35	𝑦	𝑦	NOUN
cana-4262	94	36	→	→	SYM
cana-4262	94	37	∞	∞	PROPN
cana-4262	94	38	here	here	ADV
cana-4262	94	39	,	,	PUNCT
cana-4262	94	40	𝜐	𝜐	PROPN
cana-4262	94	41	=	=	X
cana-4262	94	42	𝜇	𝜇	ADP
cana-4262	94	43	𝜌	𝜌	X
cana-4262	94	44	,	,	PUNCT
cana-4262	94	45	𝐵	𝐵	NOUN
cana-4262	94	46	=	=	NOUN
cana-4262	95	1	𝐵0	𝐵0	PROPN
cana-4262	95	2	√1−𝑥𝑡	√1−𝑥𝑡	PROPN
cana-4262	95	3	,	,	PUNCT
cana-4262	95	4	𝑘∗	𝑘∗	ADJ
cana-4262	95	5	=	=	SYM
cana-4262	95	6	𝑘0(1	𝑘0(1	PROPN
cana-4262	95	7	−	−	PROPN
cana-4262	95	8	𝜒𝑡	𝜒𝑡	PROPN
cana-4262	95	9	)	)	PUNCT
cana-4262	96	1	,	,	PUNCT
cana-4262	96	2	𝑥𝑡	𝑥𝑡	ADP
cana-4262	96	3	<	<	X
cana-4262	96	4	1	1	NUM
cana-4262	96	5	,	,	PUNCT
cana-4262	96	6	𝑘0	𝑘0	PROPN
cana-4262	96	7	gives	give	VERB
cana-4262	96	8	initial	initial	ADJ
cana-4262	96	9	permeability	permeability	NOUN
cana-4262	96	10	.	.	PUNCT
cana-4262	97	1	ambient	ambient	ADJ
cana-4262	97	2	fluid	fluid	ADJ
cana-4262	97	3	concentration	concentration	NOUN
cana-4262	97	4	and	and	CCONJ
cana-4262	97	5	temperature	temperature	NOUN
cana-4262	97	6	are	be	AUX
cana-4262	97	7	𝐶∞	𝐶∞	PROPN
cana-4262	97	8	and	and	CCONJ
cana-4262	97	9	𝑇∞	𝑇∞	PROPN
cana-4262	97	10	correspondingly	correspondingly	ADV
cana-4262	97	11	.	.	PUNCT
cana-4262	98	1	𝐹	𝐹	PROPN
cana-4262	98	2	=	=	SYM
cana-4262	98	3	𝐶𝑏	𝐶𝑏	PROPN
cana-4262	98	4	𝑥√𝑘∗	𝑥√𝑘∗	NOUN
cana-4262	98	5	is	be	AUX
cana-4262	98	6	the	the	DET
cana-4262	98	7	porous	porous	ADJ
cana-4262	98	8	medium	medium	NOUN
cana-4262	98	9	’s	’s	PART
cana-4262	98	10	noncommunications	noncommunication	NOUN
cana-4262	98	11	on	on	ADP
cana-4262	98	12	applied	apply	VERB
cana-4262	98	13	nonlinear	nonlinear	ADJ
cana-4262	98	14	analysis	analysis	NOUN
cana-4262	98	15	issn	issn	NOUN
cana-4262	98	16	:	:	PUNCT
cana-4262	98	17	1074	1074	NUM
cana-4262	98	18	-	-	PUNCT
cana-4262	98	19	133x	133x	NUM
cana-4262	98	20	vol	vol	NOUN
cana-4262	98	21	32	32	NUM
cana-4262	98	22	no	no	NOUN
cana-4262	98	23	.	.	PUNCT
cana-4262	99	1	9s	9s	NUM
cana-4262	99	2	(	(	PUNCT
cana-4262	99	3	2025	2025	NUM
cana-4262	99	4	)	)	PUNCT
cana-4262	99	5	1655	1655	NUM
cana-4262	100	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	100	2	uniform	uniform	NOUN
cana-4262	100	3	inertia	inertia	PROPN
cana-4262	100	4	coefficient	coefficient	NOUN
cana-4262	100	5	.	.	PUNCT
cana-4262	101	1	𝛽𝐶	𝛽𝐶	NOUN
cana-4262	101	2	∗	∗	NOUN
cana-4262	101	3	and	and	CCONJ
cana-4262	101	4	𝛽𝑇	𝛽𝑇	NOUN
cana-4262	101	5	∗	∗	NOUN
cana-4262	101	6	indicate	indicate	VERB
cana-4262	101	7	the	the	DET
cana-4262	101	8	concentration	concentration	NOUN
cana-4262	101	9	and	and	CCONJ
cana-4262	101	10	thermal	thermal	ADJ
cana-4262	101	11	expansion	expansion	NOUN
cana-4262	101	12	coefficients	coefficient	NOUN
cana-4262	101	13	,	,	PUNCT
cana-4262	101	14	respectively	respectively	ADV
cana-4262	101	15	.	.	PUNCT
cana-4262	102	1	similarity	similarity	NOUN
cana-4262	102	2	transformations	transformation	NOUN
cana-4262	102	3	are	be	AUX
cana-4262	102	4	employed	employ	VERB
cana-4262	102	5	to	to	PART
cana-4262	102	6	transform	transform	VERB
cana-4262	102	7	the	the	DET
cana-4262	102	8	nonlinear	nonlinear	ADJ
cana-4262	102	9	pdes	pde	NOUN
cana-4262	102	10	into	into	ADP
cana-4262	102	11	odes	ode	NOUN
cana-4262	102	12	,	,	PUNCT
cana-4262	102	13	with	with	ADP
cana-4262	102	14	the	the	DET
cana-4262	102	15	corresponding	corresponding	ADJ
cana-4262	102	16	boundary	boundary	ADJ
cana-4262	102	17	conditions	condition	NOUN
cana-4262	102	18	being	be	AUX
cana-4262	102	19	𝜓	𝜓	NOUN
cana-4262	102	20	=	=	PUNCT
cana-4262	102	21	√	√	NUM
cana-4262	102	22	𝑎𝜈	𝑎𝜈	PROPN
cana-4262	102	23	1	1	NUM
cana-4262	102	24	−	−	NOUN
cana-4262	102	25	𝜒𝑡	𝜒𝑡	ADP
cana-4262	102	26	𝑥𝑓(𝜂	𝑥𝑓(𝜂	PROPN
cana-4262	102	27	)	)	PUNCT
cana-4262	102	28	,	,	PUNCT
cana-4262	103	1	𝜂	𝜂	X
cana-4262	103	2	=	=	PUNCT
cana-4262	103	3	√	√	NUM
cana-4262	103	4	𝑎	𝑎	PRON
cana-4262	103	5	𝜈(1	𝜈(1	PROPN
cana-4262	103	6	−	−	PROPN
cana-4262	103	7	𝜒𝑡	𝜒𝑡	PROPN
cana-4262	103	8	)	)	PUNCT
cana-4262	103	9	,	,	PUNCT
cana-4262	103	10	θ(η	θ(η	PROPN
cana-4262	103	11	)	)	PUNCT
cana-4262	103	12	=	=	SYM
cana-4262	103	13	t	t	PROPN
cana-4262	103	14	−	−	NOUN
cana-4262	103	15	t∞	t∞	NUM
cana-4262	103	16	tw	tw	NOUN
cana-4262	103	17	−	−	PROPN
cana-4262	103	18	t∞	t∞	NOUN
cana-4262	103	19	,	,	PUNCT
cana-4262	103	20	𝑚(η	𝑚(η	PROPN
cana-4262	103	21	)	)	PUNCT
cana-4262	104	1	=	=	PUNCT
cana-4262	104	2	t	t	NOUN
cana-4262	104	3	−	−	NOUN
cana-4262	104	4	t∞	t∞	NUM
cana-4262	104	5	tw	tw	NOUN
cana-4262	104	6	−	−	PROPN
cana-4262	104	7	t∞	t∞	NOUN
cana-4262	104	8	,	,	PUNCT
cana-4262	104	9	ϕ(η	ϕ(η	PROPN
cana-4262	104	10	)	)	PUNCT
cana-4262	105	1	=	=	PUNCT
cana-4262	106	1	c	c	PROPN
cana-4262	106	2	−	−	PROPN
cana-4262	106	3	c∞	c∞	PROPN
cana-4262	107	1	cw	cw	PROPN
cana-4262	107	2	−	−	PROPN
cana-4262	107	3	c∞	c∞	PROPN
cana-4262	107	4	(	(	PUNCT
cana-4262	107	5	6	6	NUM
cana-4262	107	6	)	)	PUNCT
cana-4262	107	7	by	by	ADP
cana-4262	107	8	adding	add	VERB
cana-4262	107	9	the	the	DET
cana-4262	107	10	stream	stream	NOUN
cana-4262	107	11	function	function	NOUN
cana-4262	107	12	𝜓	𝜓	NOUN
cana-4262	107	13	so	so	SCONJ
cana-4262	107	14	that	that	SCONJ
cana-4262	107	15	𝑢	𝑢	NOUN
cana-4262	107	16	=	=	SYM
cana-4262	107	17	𝜕𝜓/𝜕𝑦	𝜕𝜓/𝜕𝑦	NOUN
cana-4262	107	18	as	as	ADV
cana-4262	107	19	well	well	ADV
cana-4262	107	20	as	as	ADP
cana-4262	107	21	𝑣	𝑣	ADP
cana-4262	107	22	=	=	SYM
cana-4262	107	23	−𝜕𝜓/𝜕𝑥	−𝜕𝜓/𝜕𝑥	PROPN
cana-4262	107	24	,	,	PUNCT
cana-4262	107	25	𝑓	𝑓	X
cana-4262	107	26	,	,	PUNCT
cana-4262	107	27	𝜑	𝜑	PROPN
cana-4262	107	28	represent	represent	VERB
cana-4262	107	29	functions	function	NOUN
cana-4262	107	30	of	of	ADP
cana-4262	107	31	𝜂	𝜂	NOUN
cana-4262	107	32	as[27	as[27	PROPN
cana-4262	107	33	]	]	PUNCT
cana-4262	107	34	,	,	PUNCT
cana-4262	107	35	the	the	DET
cana-4262	107	36	transformed	transform	VERB
cana-4262	107	37	ode	ode	PROPN
cana-4262	107	38	’s	’s	PART
cana-4262	107	39	are	be	AUX
cana-4262	107	40	as	as	SCONJ
cana-4262	107	41	follows	follow	VERB
cana-4262	107	42	after	after	ADP
cana-4262	107	43	applying	apply	VERB
cana-4262	107	44	the	the	DET
cana-4262	107	45	similarity	similarity	NOUN
cana-4262	107	46	transformations	transformation	NOUN
cana-4262	107	47	:	:	PUNCT
cana-4262	108	1	𝑓𝑓′′	𝑓𝑓′′	PROPN
cana-4262	108	2	+	+	PUNCT
cana-4262	108	3	(	(	PUNCT
cana-4262	108	4	𝜀	𝜀	X
cana-4262	108	5	−	−	PROPN
cana-4262	108	6	𝑓′)(𝜆	𝑓′)(𝜆	NOUN
cana-4262	108	7	+	+	NUM
cana-4262	108	8	𝑀	𝑀	PROPN
cana-4262	108	9	)	)	PUNCT
cana-4262	109	1	+	+	CCONJ
cana-4262	109	2	𝑓′′′	𝑓′′′	ADJ
cana-4262	109	3	(	(	PUNCT
cana-4262	109	4	1	1	NUM
cana-4262	109	5	+	+	SYM
cana-4262	109	6	1	1	NUM
cana-4262	109	7	𝛽1	𝛽1	NOUN
cana-4262	109	8	)	)	PUNCT
cana-4262	109	9	−	−	PROPN
cana-4262	109	10	𝑓′2	𝑓′2	NOUN
cana-4262	109	11	+	+	CCONJ
cana-4262	109	12	𝜀2	𝜀2	PROPN
cana-4262	109	13	+	+	CCONJ
cana-4262	109	14	𝐹𝑟(𝜀2	𝐹𝑟(𝜀2	ADJ
cana-4262	109	15	−	−	PROPN
cana-4262	109	16	𝑓′2	𝑓′2	NOUN
cana-4262	109	17	)	)	PUNCT
cana-4262	109	18	−	−	PROPN
cana-4262	109	19	𝜁	𝜁	PROPN
cana-4262	109	20	(	(	PUNCT
cana-4262	109	21	𝜂	𝜂	NOUN
cana-4262	109	22	2	2	NUM
cana-4262	109	23	𝑓′′	𝑓′′	NOUN
cana-4262	109	24	+	+	SYM
cana-4262	109	25	𝑓′	𝑓′	NUM
cana-4262	109	26	−	−	NUM
cana-4262	109	27	𝜀	𝜀	PROPN
cana-4262	109	28	)	)	PUNCT
cana-4262	109	29	+	+	CCONJ
cana-4262	109	30	𝐺(𝑁𝜙	𝐺(𝑁𝜙	NOUN
cana-4262	109	31	+	+	CCONJ
cana-4262	109	32	𝜃	𝜃	X
cana-4262	109	33	)	)	PUNCT
cana-4262	109	34	=	=	SYM
cana-4262	109	35	0	0	NUM
cana-4262	110	1	(	(	PUNCT
cana-4262	110	2	7	7	X
cana-4262	110	3	)	)	PUNCT
cana-4262	110	4	𝜃′′	𝜃′′	NOUN
cana-4262	110	5	−	−	PROPN
cana-4262	111	1	𝑃𝑟	𝑃𝑟	PROPN
cana-4262	111	2	[	[	X
cana-4262	111	3	𝜁	𝜁	X
cana-4262	111	4	(	(	PUNCT
cana-4262	111	5	𝜂	𝜂	NOUN
cana-4262	111	6	2	2	NUM
cana-4262	111	7	𝜃′	𝜃′	X
cana-4262	111	8	+	+	X
cana-4262	111	9	𝜃	𝜃	X
cana-4262	111	10	)	)	PUNCT
cana-4262	112	1	+	+	CCONJ
cana-4262	112	2	𝑓′𝜃	𝑓′𝜃	ADV
cana-4262	112	3	−	−	ADP
cana-4262	112	4	𝑓𝜃′	𝑓𝜃′	NOUN
cana-4262	112	5	]	]	X
cana-4262	112	6	+	+	CCONJ
cana-4262	112	7	𝑁𝐶𝜙′𝜃′	𝑁𝐶𝜙′𝜃′	PROPN
cana-4262	112	8	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	112	9	+	+	CCONJ
cana-4262	112	10	𝑁𝐶	𝑁𝐶	PROPN
cana-4262	112	11	𝜃′2	𝜃′2	NOUN
cana-4262	112	12	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	112	13	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	112	14	+	+	CCONJ
cana-4262	112	15	𝑃𝑟𝐽𝑓′2	𝑃𝑟𝐽𝑓′2	PRON
cana-4262	112	16	+	+	CCONJ
cana-4262	112	17	(	(	PUNCT
cana-4262	112	18	𝐴∗𝑓′	𝐴∗𝑓′	NUM
cana-4262	112	19	+	+	NUM
cana-4262	112	20	𝐵∗𝜃	𝐵∗𝜃	NOUN
cana-4262	112	21	)	)	PUNCT
cana-4262	112	22	=	=	SYM
cana-4262	112	23	0	0	PUNCT
cana-4262	113	1	(	(	PUNCT
cana-4262	113	2	8)	8)	NUM
cana-4262	113	3	𝑚′′	𝑚′′	NOUN
cana-4262	114	1	−	−	X
cana-4262	114	2	𝑃𝑟	𝑃𝑟	PROPN
cana-4262	115	1	[	[	X
cana-4262	115	2	𝜁	𝜁	X
cana-4262	115	3	(	(	PUNCT
cana-4262	115	4	𝜂	𝜂	PROPN
cana-4262	115	5	2	2	NUM
cana-4262	115	6	𝑚′	𝑚′	NUM
cana-4262	115	7	+	+	CCONJ
cana-4262	115	8	𝑚	𝑚	X
cana-4262	115	9	)	)	PUNCT
cana-4262	115	10	+	+	CCONJ
cana-4262	115	11	𝑓′𝑚	𝑓′𝑚	ADJ
cana-4262	115	12	−	−	PRON
cana-4262	115	13	𝑓𝑚′	𝑓𝑚′	NOUN
cana-4262	115	14	]	]	PUNCT
cana-4262	116	1	+	+	CCONJ
cana-4262	116	2	𝑁𝐶𝜙′𝑚′	𝑁𝐶𝜙′𝑚′	PROPN
cana-4262	116	3	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	116	4	+	+	CCONJ
cana-4262	116	5	𝑁𝐶	𝑁𝐶	PROPN
cana-4262	116	6	𝑚′2	𝑚′2	NOUN
cana-4262	116	7	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	116	8	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	116	9	+	+	CCONJ
cana-4262	116	10	𝑃𝑟𝐽𝑓′2	𝑃𝑟𝐽𝑓′2	PRON
cana-4262	116	11	+	+	CCONJ
cana-4262	116	12	(	(	PUNCT
cana-4262	116	13	𝐴∗𝑓′	𝐴∗𝑓′	NUM
cana-4262	116	14	+	+	NUM
cana-4262	116	15	𝐵∗𝑚	𝐵∗𝑚	NOUN
cana-4262	116	16	)	)	PUNCT
cana-4262	116	17	=	=	SYM
cana-4262	116	18	0	0	PUNCT
cana-4262	116	19	(	(	PUNCT
cana-4262	116	20	9	9	X
cana-4262	116	21	)	)	PUNCT
cana-4262	116	22	𝜙′′	𝜙′′	VERB
cana-4262	116	23	+	+	CCONJ
cana-4262	116	24	1	1	NUM
cana-4262	116	25	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	116	26	𝜃′′	𝜃′′	NOUN
cana-4262	116	27	−	−	PROPN
cana-4262	117	1	𝑆𝑐	𝑆𝑐	PROPN
cana-4262	117	2	[	[	X
cana-4262	117	3	𝜁	𝜁	X
cana-4262	117	4	(	(	PUNCT
cana-4262	117	5	𝜂	𝜂	PROPN
cana-4262	117	6	2	2	NUM
cana-4262	117	7	+	+	NOUN
cana-4262	117	8	𝑓′𝜙	𝑓′𝜙	NOUN
cana-4262	117	9	−	−	NOUN
cana-4262	117	10	𝑓𝜙′	𝑓𝜙′	NOUN
cana-4262	117	11	)	)	PUNCT
cana-4262	117	12	]	]	PUNCT
cana-4262	118	1	=	=	SYM
cana-4262	118	2	0	0	PUNCT
cana-4262	118	3	(	(	PUNCT
cana-4262	118	4	10	10	NUM
cana-4262	118	5	)	)	PUNCT
cana-4262	118	6	the	the	DET
cana-4262	118	7	boundary	boundary	ADJ
cana-4262	118	8	conditions	condition	NOUN
cana-4262	118	9	are	be	AUX
cana-4262	118	10	:	:	PUNCT
cana-4262	118	11	pst	pst	ADJ
cana-4262	118	12	case	case	NOUN
cana-4262	118	13	:	:	PUNCT
cana-4262	118	14	𝑓(𝜂	𝑓(𝜂	X
cana-4262	118	15	)	)	PUNCT
cana-4262	118	16	=	=	SYM
cana-4262	118	17	0	0	NUM
cana-4262	118	18	,	,	PUNCT
cana-4262	118	19	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-4262	118	20	)	)	PUNCT
cana-4262	118	21	=	=	SYM
cana-4262	118	22	1	1	NUM
cana-4262	118	23	,	,	PUNCT
cana-4262	118	24	𝜃(𝜂	𝜃(𝜂	X
cana-4262	118	25	)	)	PUNCT
cana-4262	118	26	=	=	SYM
cana-4262	118	27	1	1	NUM
cana-4262	118	28	,	,	PUNCT
cana-4262	118	29	𝜙(𝜂	𝜙(𝜂	NOUN
cana-4262	118	30	)	)	PUNCT
cana-4262	118	31	=	=	SYM
cana-4262	118	32	1	1	NUM
cana-4262	118	33	;	;	PUNCT
cana-4262	118	34	at	at	ADP
cana-4262	118	35	𝜂	𝜂	NOUN
cana-4262	118	36	=	=	SYM
cana-4262	118	37	0	0	NUM
cana-4262	118	38	𝑓′(𝜂	𝑓′(𝜂	NUM
cana-4262	118	39	)	)	PUNCT
cana-4262	118	40	→	→	SYM
cana-4262	118	41	𝜀	𝜀	PROPN
cana-4262	118	42	,	,	PUNCT
cana-4262	118	43	𝜃(𝜂	𝜃(𝜂	NOUN
cana-4262	118	44	)	)	PUNCT
cana-4262	118	45	→	→	SYM
cana-4262	118	46	0	0	NUM
cana-4262	118	47	,	,	PUNCT
cana-4262	118	48	𝜙(𝜂	𝜙(𝜂	PROPN
cana-4262	118	49	)	)	PUNCT
cana-4262	118	50	→	→	SYM
cana-4262	118	51	0	0	NUM
cana-4262	118	52	at	at	ADP
cana-4262	118	53	𝜂	𝜂	NOUN
cana-4262	118	54	=	=	SYM
cana-4262	118	55	∞	∞	PROPN
cana-4262	118	56	(	(	PUNCT
cana-4262	118	57	11	11	NUM
cana-4262	118	58	)	)	PUNCT
cana-4262	118	59	phf	phf	NOUN
cana-4262	118	60	case	case	NOUN
cana-4262	118	61	:	:	PUNCT
cana-4262	118	62	𝑓(𝜂	𝑓(𝜂	X
cana-4262	118	63	)	)	PUNCT
cana-4262	118	64	=	=	SYM
cana-4262	118	65	0	0	NUM
cana-4262	118	66	,	,	PUNCT
cana-4262	118	67	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-4262	118	68	)	)	PUNCT
cana-4262	118	69	=	=	SYM
cana-4262	118	70	1	1	NUM
cana-4262	118	71	,	,	PUNCT
cana-4262	118	72	𝑚′(𝜂	𝑚′(𝜂	ADJ
cana-4262	118	73	)	)	PUNCT
cana-4262	118	74	=	=	SYM
cana-4262	118	75	−1	−1	NOUN
cana-4262	118	76	,	,	PUNCT
cana-4262	118	77	𝜙(𝜂	𝜙(𝜂	PROPN
cana-4262	118	78	)	)	PUNCT
cana-4262	118	79	=	=	SYM
cana-4262	118	80	1	1	NUM
cana-4262	118	81	;	;	PUNCT
cana-4262	118	82	at	at	ADP
cana-4262	118	83	𝜂	𝜂	NOUN
cana-4262	118	84	=	=	SYM
cana-4262	118	85	0	0	NUM
cana-4262	118	86	𝑓′(𝜂	𝑓′(𝜂	NUM
cana-4262	118	87	)	)	PUNCT
cana-4262	118	88	→	→	SYM
cana-4262	118	89	𝜀	𝜀	NOUN
cana-4262	118	90	,	,	PUNCT
cana-4262	118	91	𝑚(𝜂	𝑚(𝜂	ADJ
cana-4262	118	92	)	)	PUNCT
cana-4262	118	93	→	→	SYM
cana-4262	118	94	0	0	NUM
cana-4262	118	95	,	,	PUNCT
cana-4262	118	96	𝜙(𝜂	𝜙(𝜂	PROPN
cana-4262	118	97	)	)	PUNCT
cana-4262	118	98	→	→	SYM
cana-4262	118	99	0	0	NUM
cana-4262	118	100	at	at	ADP
cana-4262	118	101	𝜂	𝜂	NOUN
cana-4262	118	102	=	=	SYM
cana-4262	118	103	∞	∞	PROPN
cana-4262	118	104	(	(	PUNCT
cana-4262	118	105	12	12	NUM
cana-4262	118	106	)	)	PUNCT
cana-4262	118	107	the	the	DET
cana-4262	118	108	dimensionless	dimensionless	NOUN
cana-4262	118	109	parameters	parameter	NOUN
cana-4262	118	110	are	be	AUX
cana-4262	118	111	:	:	PUNCT
cana-4262	118	112	where	where	SCONJ
cana-4262	118	113	𝐹𝑟	𝐹𝑟	PROPN
cana-4262	118	114	=	=	SYM
cana-4262	118	115	𝐶𝑏	𝐶𝑏	PROPN
cana-4262	118	116	√𝑘∗	√𝑘∗	PROPN
cana-4262	118	117	,	,	PUNCT
cana-4262	118	118	𝑀	𝑀	PROPN
cana-4262	118	119	=	=	SYM
cana-4262	118	120	𝜎𝐵0	𝜎𝐵0	PROPN
cana-4262	118	121	2	2	NUM
cana-4262	118	122	𝜌𝑎	𝜌𝑎	NOUN
cana-4262	118	123	,	,	PUNCT
cana-4262	119	1	𝐺	𝐺	PROPN
cana-4262	119	2	=	=	SYM
cana-4262	119	3	𝐺𝑟𝑥	𝐺𝑟𝑥	PROPN
cana-4262	119	4	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-4262	119	5	2	2	NUM
cana-4262	119	6	,	,	PUNCT
cana-4262	119	7	𝜆	𝜆	PROPN
cana-4262	119	8	=	=	PUNCT
cana-4262	119	9	𝜐	𝜐	X
cana-4262	119	10	𝑘0𝐶	𝑘0𝐶	INTJ
cana-4262	119	11	,	,	PUNCT
cana-4262	119	12	𝜉	𝜉	NOUN
cana-4262	119	13	=	=	SYM
cana-4262	119	14	𝜒	𝜒	PRON
cana-4262	119	15	𝐶	𝐶	PROPN
cana-4262	119	16	,	,	PUNCT
cana-4262	119	17	𝜀	𝜀	X
cana-4262	119	18	=	=	SYM
cana-4262	119	19	𝑏	𝑏	PROPN
cana-4262	119	20	𝑎	𝑎	NOUN
cana-4262	119	21	,	,	PUNCT
cana-4262	119	22	𝐽	𝐽	PROPN
cana-4262	119	23	=	=	SYM
cana-4262	119	24	𝑀.	𝑀.	PROPN
cana-4262	119	25	𝐸𝑐	𝐸𝑐	PROPN
cana-4262	119	26	communications	communication	NOUN
cana-4262	119	27	on	on	ADP
cana-4262	119	28	applied	apply	VERB
cana-4262	119	29	nonlinear	nonlinear	ADJ
cana-4262	119	30	analysis	analysis	NOUN
cana-4262	119	31	issn	issn	NOUN
cana-4262	119	32	:	:	PUNCT
cana-4262	119	33	1074	1074	NUM
cana-4262	119	34	-	-	PUNCT
cana-4262	119	35	133x	133x	NUM
cana-4262	119	36	vol	vol	NOUN
cana-4262	119	37	32	32	NUM
cana-4262	119	38	no	no	NOUN
cana-4262	119	39	.	.	PUNCT
cana-4262	120	1	9s	9s	NUM
cana-4262	120	2	(	(	PUNCT
cana-4262	120	3	2025	2025	NUM
cana-4262	120	4	)	)	PUNCT
cana-4262	120	5	1656	1656	NUM
cana-4262	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	121	1	𝑁	𝑁	NOUN
cana-4262	121	2	=	=	NOUN
cana-4262	121	3	𝛽𝑐(𝐶𝑤	𝛽𝑐(𝐶𝑤	NOUN
cana-4262	121	4	−	−	NOUN
cana-4262	121	5	𝐶∞	𝐶∞	PROPN
cana-4262	121	6	)	)	PUNCT
cana-4262	121	7	𝛽𝑇(𝑇𝑤	𝛽𝑇(𝑇𝑤	NOUN
cana-4262	121	8	−	−	PROPN
cana-4262	121	9	𝑇∞	𝑇∞	PROPN
cana-4262	121	10	)	)	PUNCT
cana-4262	121	11	,	,	PUNCT
cana-4262	122	1	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	122	2	=	=	PUNCT
cana-4262	122	3	𝛽𝑐	𝛽𝑐	ADP
cana-4262	122	4	∗(𝐶𝑤	∗(𝐶𝑤	X
cana-4262	122	5	−	−	PROPN
cana-4262	122	6	𝐶∞	𝐶∞	PROPN
cana-4262	122	7	)	)	PUNCT
cana-4262	122	8	𝛽𝑇	𝛽𝑇	NOUN
cana-4262	122	9	∗(𝑇𝑤	∗(𝑇𝑤	NUM
cana-4262	122	10	−	−	NUM
cana-4262	122	11	𝑇∞	𝑇∞	PROPN
cana-4262	122	12	)	)	PUNCT
cana-4262	122	13	,	,	PUNCT
cana-4262	122	14	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	122	15	=	=	PUNCT
cana-4262	122	16	𝑇∞𝐷𝐵(𝐶𝑤	𝑇∞𝐷𝐵(𝐶𝑤	NOUN
cana-4262	122	17	−	−	NOUN
cana-4262	122	18	𝐶∞	𝐶∞	PROPN
cana-4262	122	19	)	)	PUNCT
cana-4262	122	20	𝐷𝑇(𝑇𝑤	𝐷𝑇(𝑇𝑤	NOUN
cana-4262	122	21	−	−	PUNCT
cana-4262	122	22	𝑇∞	𝑇∞	PROPN
cana-4262	122	23	)	)	PUNCT
cana-4262	122	24	,	,	PUNCT
cana-4262	123	1	𝑆c	𝑆c	PROPN
cana-4262	123	2	=	=	PUNCT
cana-4262	123	3	𝜈	𝜈	X
cana-4262	123	4	𝐷𝐵	𝐷𝐵	PROPN
cana-4262	123	5	,	,	PUNCT
cana-4262	123	6	𝛽1	𝛽1	NOUN
cana-4262	123	7	=	=	PUNCT
cana-4262	123	8	𝜇𝛽√2𝜋	𝜇𝛽√2𝜋	NOUN
cana-4262	123	9	𝜏𝑦	𝜏𝑦	X
cana-4262	123	10	,	,	PUNCT
cana-4262	123	11	λ	λ	PROPN
cana-4262	123	12	=	=	PUNCT
cana-4262	123	13	𝜈	𝜈	X
cana-4262	123	14	𝑘0𝑎	𝑘0𝑎	NOUN
cana-4262	123	15	here	here	ADV
cana-4262	123	16	fr	fr	PROPN
cana-4262	123	17	indicates	indicate	VERB
cana-4262	123	18	forchheimer	forchheimer	ADJ
cana-4262	123	19	number	number	NOUN
cana-4262	123	20	,	,	PUNCT
cana-4262	123	21	m	m	VERB
cana-4262	123	22	is	be	AUX
cana-4262	123	23	magnetic	magnetic	ADJ
cana-4262	123	24	field	field	NOUN
cana-4262	123	25	parameter	parameter	NOUN
cana-4262	123	26	,	,	PUNCT
cana-4262	123	27	λ	λ	PROPN
cana-4262	123	28	defines	define	VERB
cana-4262	123	29	permeability	permeability	NOUN
cana-4262	123	30	parameter	parameter	NOUN
cana-4262	123	31	,	,	PUNCT
cana-4262	123	32	g	g	PROPN
cana-4262	123	33	defines	define	VERB
cana-4262	123	34	thermal	thermal	ADJ
cana-4262	123	35	convection	convection	NOUN
cana-4262	123	36	parameter	parameter	NOUN
cana-4262	123	37	,	,	PUNCT
cana-4262	123	38	ζ	ζ	PROPN
cana-4262	123	39	indicates	indicate	VERB
cana-4262	123	40	unsteadiness	unsteadiness	NOUN
cana-4262	123	41	,	,	PUNCT
cana-4262	123	42	n	n	PRON
cana-4262	123	43	characterizes	characterize	VERB
cana-4262	123	44	buoyancy	buoyancy	ADJ
cana-4262	123	45	ratio	ratio	NOUN
cana-4262	123	46	parameter	parameter	NOUN
cana-4262	123	47	,	,	PUNCT
cana-4262	123	48	nbt	nbt	AUX
cana-4262	123	49	expresses	express	VERB
cana-4262	123	50	diffusivity	diffusivity	NOUN
cana-4262	123	51	parameter	parameter	PROPN
cana-4262	123	52	,	,	PUNCT
cana-4262	123	53	sc	sc	PROPN
cana-4262	123	54	defines	define	VERB
cana-4262	123	55	schmidt	schmidt	ADJ
cana-4262	123	56	number	number	NOUN
cana-4262	123	57	,	,	PUNCT
cana-4262	123	58	ε	ε	PROPN
cana-4262	123	59	manifests	manifest	VERB
cana-4262	123	60	velocity	velocity	NOUN
cana-4262	123	61	ratio	ratio	NOUN
cana-4262	123	62	parameter	parameter	NOUN
cana-4262	123	63	,	,	PUNCT
cana-4262	123	64	grx	grx	PROPN
cana-4262	123	65	defines	define	VERB
cana-4262	123	66	thermal	thermal	ADJ
cana-4262	123	67	buoyancy	buoyancy	NOUN
cana-4262	123	68	parameter	parameter	NOUN
cana-4262	123	69	and	and	CCONJ
cana-4262	123	70	β1	β1	PROPN
cana-4262	123	71	shows	show	VERB
cana-4262	123	72	casson	casson	PROPN
cana-4262	123	73	fluid	fluid	PROPN
cana-4262	123	74	parameter	parameter	NOUN
cana-4262	123	75	.	.	PUNCT
cana-4262	124	1	the	the	DET
cana-4262	124	2	following	follow	VERB
cana-4262	124	3	expressions	expression	NOUN
cana-4262	124	4	define	define	VERB
cana-4262	124	5	the	the	DET
cana-4262	124	6	skin	skin	NOUN
cana-4262	124	7	friction	friction	NOUN
cana-4262	124	8	coefficient	coefficient	NOUN
cana-4262	124	9	,	,	PUNCT
cana-4262	124	10	local	local	ADJ
cana-4262	124	11	nusselt	nusselt	NOUN
cana-4262	124	12	number	number	NOUN
cana-4262	124	13	,	,	PUNCT
cana-4262	124	14	and	and	CCONJ
cana-4262	124	15	sherwood	sherwood	PROPN
cana-4262	124	16	number	number	NOUN
cana-4262	124	17	𝐶𝑓𝑥	𝐶𝑓𝑥	PROPN
cana-4262	124	18	=	=	PUNCT
cana-4262	124	19	𝜏𝑤	𝜏𝑤	NOUN
cana-4262	124	20	∗	∗	VERB
cana-4262	124	21	𝜌𝑈𝑤	𝜌𝑈𝑤	NOUN
cana-4262	124	22	2(𝑥	2(𝑥	NUM
cana-4262	124	23	)	)	PUNCT
cana-4262	124	24	,	,	PUNCT
cana-4262	124	25	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-4262	124	26	=	=	PUNCT
cana-4262	124	27	𝑥𝑞𝑤	𝑥𝑞𝑤	NOUN
cana-4262	124	28	∗	∗	NOUN
cana-4262	124	29	𝑘(tw	𝑘(tw	PRON
cana-4262	124	30	−	−	PROPN
cana-4262	124	31	t∞	t∞	NUM
cana-4262	124	32	)	)	PUNCT
cana-4262	124	33	,	,	PUNCT
cana-4262	124	34	𝑆ℎ𝑥	𝑆ℎ𝑥	NOUN
cana-4262	124	35	=	=	SYM
cana-4262	124	36	𝑥𝑞𝑚	𝑥𝑞𝑚	NOUN
cana-4262	124	37	∗	∗	PROPN
cana-4262	124	38	𝐷𝐵(cw	𝐷𝐵(cw	PROPN
cana-4262	124	39	−	−	PROPN
cana-4262	124	40	c∞	c∞	PROPN
cana-4262	124	41	)	)	PUNCT
cana-4262	124	42	here	here	ADV
cana-4262	124	43	casson	casson	PROPN
cana-4262	124	44	nanofluid	nanofluid	PROPN
cana-4262	124	45	’s	’s	PART
cana-4262	124	46	shear	shear	NOUN
cana-4262	124	47	stress	stress	NOUN
cana-4262	124	48	at	at	ADP
cana-4262	124	49	the	the	DET
cana-4262	124	50	wall	wall	NOUN
cana-4262	124	51	’s	’s	PART
cana-4262	124	52	surface	surface	NOUN
cana-4262	124	53	is	be	AUX
cana-4262	124	54	calculated	calculate	VERB
cana-4262	124	55	𝜏𝑤	𝜏𝑤	AUX
cana-4262	124	56	∗,while	∗,while	VERB
cana-4262	124	57	𝑞𝑚	𝑞𝑚	NOUN
cana-4262	124	58	∗	∗	NOUN
cana-4262	124	59	as	as	ADV
cana-4262	124	60	well	well	ADV
cana-4262	124	61	as	as	ADP
cana-4262	124	62	𝑞𝑤	𝑞𝑤	PRON
cana-4262	124	63	∗	∗	NOUN
cana-4262	124	64	provide	provide	VERB
cana-4262	124	65	the	the	DET
cana-4262	124	66	mass	mass	ADJ
cana-4262	124	67	and	and	CCONJ
cana-4262	124	68	heat	heat	NOUN
cana-4262	124	69	fluxes	flux	NOUN
cana-4262	124	70	from	from	ADP
cana-4262	124	71	the	the	DET
cana-4262	124	72	wall	wall	NOUN
cana-4262	124	73	,	,	PUNCT
cana-4262	124	74	respectively	respectively	ADV
cana-4262	124	75	.	.	PUNCT
cana-4262	125	1	these	these	PRON
cana-4262	125	2	are	be	AUX
cana-4262	125	3	the	the	DET
cana-4262	125	4	terms	term	NOUN
cana-4262	125	5	listed	list	VERB
cana-4262	125	6	as	as	ADP
cana-4262	125	7	applying	apply	VERB
cana-4262	125	8	similarity	similarity	NOUN
cana-4262	125	9	transformations	transformation	NOUN
cana-4262	125	10	along	along	ADP
cana-4262	125	11	with	with	ADP
cana-4262	125	12	dominated	dominate	VERB
cana-4262	125	13	boundary	boundary	ADJ
cana-4262	125	14	conditions	condition	NOUN
cana-4262	125	15	leads	lead	VERB
cana-4262	125	16	to	to	ADP
cana-4262	125	17	the	the	DET
cana-4262	125	18	description	description	NOUN
cana-4262	125	19	of	of	ADP
cana-4262	125	20	above	above	ADV
cana-4262	125	21	mentioned	mention	VERB
cana-4262	125	22	parameters	parameter	NOUN
cana-4262	125	23	in	in	ADP
cana-4262	125	24	their	their	PRON
cana-4262	125	25	non	non	ADJ
cana-4262	125	26	-	-	ADJ
cana-4262	125	27	dimensional	dimensional	ADJ
cana-4262	125	28	forms	form	NOUN
cana-4262	125	29	:	:	PUNCT
cana-4262	125	30	𝐶𝑓𝑥(𝑅𝑒	𝐶𝑓𝑥(𝑅𝑒	NUM
cana-4262	125	31	)	)	PUNCT
cana-4262	125	32	1	1	NUM
cana-4262	125	33	2	2	NUM
cana-4262	125	34	=	=	SYM
cana-4262	125	35	(	(	PUNCT
cana-4262	125	36	1	1	NUM
cana-4262	125	37	+	+	SYM
cana-4262	125	38	1	1	NUM
cana-4262	125	39	𝛽1	𝛽1	NOUN
cana-4262	125	40	𝑓′′(0	𝑓′′(0	NOUN
cana-4262	125	41	)	)	PUNCT
cana-4262	125	42	)	)	PUNCT
cana-4262	126	1	𝑁𝑢𝑥(𝑅𝑒)−	𝑁𝑢𝑥(𝑅𝑒)−	PRON
cana-4262	126	2	1	1	NUM
cana-4262	126	3	2	2	NUM
cana-4262	126	4	=	=	SYM
cana-4262	126	5	{	{	PUNCT
cana-4262	126	6	(	(	PUNCT
cana-4262	126	7	−𝜃′(𝜂	−𝜃′(𝜂	PROPN
cana-4262	126	8	)	)	PUNCT
cana-4262	126	9	)	)	PUNCT
cana-4262	127	1	𝑎𝑡	𝑎𝑡	ADP
cana-4262	127	2	𝜂	𝜂	NOUN
cana-4262	127	3	=	=	SYM
cana-4262	127	4	0	0	NUM
cana-4262	127	5	,	,	PUNCT
cana-4262	127	6	𝑃𝑆𝑇	𝑃𝑆𝑇	PROPN
cana-4262	127	7	𝑐𝑎𝑠𝑒	𝑐𝑎𝑠𝑒	NOUN
cana-4262	127	8	(	(	PUNCT
cana-4262	127	9	1	1	NUM
cana-4262	127	10	𝑚(𝜂	𝑚(𝜂	NUM
cana-4262	127	11	)	)	PUNCT
cana-4262	127	12	)	)	PUNCT
cana-4262	128	1	𝑎𝑡	𝑎𝑡	ADP
cana-4262	128	2	𝜂	𝜂	NOUN
cana-4262	128	3	=	=	SYM
cana-4262	128	4	0	0	NUM
cana-4262	128	5	,	,	PUNCT
cana-4262	128	6	𝑃𝐻𝐹	𝑃𝐻𝐹	NOUN
cana-4262	128	7	𝑐𝑎𝑠𝑒	𝑐𝑎𝑠𝑒	NOUN
cana-4262	128	8	𝑆ℎ𝑥(𝑅𝑒)−	𝑆ℎ𝑥(𝑅𝑒)−	PROPN
cana-4262	128	9	1	1	NUM
cana-4262	128	10	2	2	NUM
cana-4262	128	11	=	=	SYM
cana-4262	128	12	(	(	PUNCT
cana-4262	128	13	−𝜙′(𝜂	−𝜙′(𝜂	PROPN
cana-4262	128	14	)	)	PUNCT
cana-4262	128	15	)	)	PUNCT
cana-4262	129	1	𝑎𝑡	𝑎𝑡	ADP
cana-4262	129	2	𝜂	𝜂	NOUN
cana-4262	129	3	=	=	SYM
cana-4262	129	4	0	0	NUM
cana-4262	129	5	reynolds	reynolds	PROPN
cana-4262	129	6	number	number	NOUN
cana-4262	129	7	in	in	ADP
cana-4262	129	8	this	this	DET
cana-4262	129	9	case	case	NOUN
cana-4262	129	10	is	be	AUX
cana-4262	129	11	𝑅𝑒	𝑅𝑒	PROPN
cana-4262	129	12	=	=	SYM
cana-4262	129	13	𝑈𝑤(𝑥	𝑈𝑤(𝑥	PROPN
cana-4262	129	14	)	)	PUNCT
cana-4262	129	15	𝜐(1−𝛾𝑡	𝜐(1−𝛾𝑡	PROPN
cana-4262	129	16	)	)	PUNCT
cana-4262	129	17	.	.	PUNCT
cana-4262	130	1	mathematical	mathematical	ADJ
cana-4262	130	2	formulation	formulation	NOUN
cana-4262	130	3	:	:	PUNCT
cana-4262	130	4	this	this	DET
cana-4262	130	5	research	research	NOUN
cana-4262	130	6	has	have	AUX
cana-4262	130	7	discussed	discuss	VERB
cana-4262	130	8	a	a	DET
cana-4262	130	9	bvp4c	bvp4c	NOUN
cana-4262	130	10	explanatory	explanatory	ADJ
cana-4262	130	11	implementation	implementation	NOUN
cana-4262	130	12	for	for	ADP
cana-4262	130	13	the	the	DET
cana-4262	130	14	study	study	NOUN
cana-4262	130	15	under	under	ADP
cana-4262	130	16	consideration	consideration	NOUN
cana-4262	130	17	.	.	PUNCT
cana-4262	131	1	by	by	ADP
cana-4262	131	2	applying	apply	VERB
cana-4262	131	3	similarity	similarity	NOUN
cana-4262	131	4	transformations	transformation	NOUN
cana-4262	131	5	,	,	PUNCT
cana-4262	131	6	we	we	PRON
cana-4262	131	7	converted	convert	VERB
cana-4262	131	8	the	the	DET
cana-4262	131	9	pde	pde	NOUN
cana-4262	131	10	system	system	NOUN
cana-4262	131	11	into	into	ADP
cana-4262	131	12	a	a	DET
cana-4262	131	13	set	set	NOUN
cana-4262	131	14	of	of	ADP
cana-4262	131	15	odes	ode	NOUN
cana-4262	131	16	,	,	PUNCT
cana-4262	131	17	and	and	CCONJ
cana-4262	131	18	subsequently	subsequently	ADV
cana-4262	131	19	utilized	utilize	VERB
cana-4262	131	20	matlab	matlab	PROPN
cana-4262	131	21	's	's	PART
cana-4262	131	22	bvp4c	bvp4c	PROPN
cana-4262	131	23	solver	solver	VERB
cana-4262	131	24	to	to	PART
cana-4262	131	25	obtain	obtain	VERB
cana-4262	131	26	the	the	DET
cana-4262	131	27	solution	solution	NOUN
cana-4262	131	28	.	.	PUNCT
cana-4262	132	1	the	the	DET
cana-4262	132	2	process	process	NOUN
cana-4262	132	3	demonstration	demonstration	NOUN
cana-4262	132	4	was	be	AUX
cana-4262	132	5	provided	provide	VERB
cana-4262	132	6	by	by	ADP
cana-4262	132	7	shampine	shampine	ADJ
cana-4262	132	8	[	[	X
cana-4262	132	9	21	21	NUM
cana-4262	132	10	]	]	PUNCT
cana-4262	132	11	.	.	PUNCT
cana-4262	133	1	step-1	step-1	PROPN
cana-4262	133	2	:	:	PUNCT
cana-4262	133	3	for	for	ADP
cana-4262	133	4	prescribed	prescribe	VERB
cana-4262	133	5	surface	surface	NOUN
cana-4262	133	6	temperature	temperature	NOUN
cana-4262	133	7	case	case	NOUN
cana-4262	133	8	:	:	PUNCT
cana-4262	133	9	𝑓	𝑓	DET
cana-4262	133	10	=	=	PUNCT
cana-4262	133	11	𝑦1	𝑦1	PROPN
cana-4262	133	12	,	,	PUNCT
cana-4262	133	13	𝑓′	𝑓′	NOUN
cana-4262	133	14	=	=	SYM
cana-4262	133	15	𝑦2	𝑦2	PROPN
cana-4262	133	16	,	,	PUNCT
cana-4262	133	17	𝑓′′	𝑓′′	PROPN
cana-4262	133	18	=	=	SYM
cana-4262	133	19	𝑦3	𝑦3	PROPN
cana-4262	133	20	,	,	PUNCT
cana-4262	133	21	𝜃	𝜃	NOUN
cana-4262	133	22	=	=	SYM
cana-4262	133	23	𝑦4	𝑦4	NOUN
cana-4262	133	24	,	,	PUNCT
cana-4262	133	25	𝜃′	𝜃′	PUNCT
cana-4262	133	26	=	=	SYM
cana-4262	133	27	𝑦5	𝑦5	NOUN
cana-4262	133	28	,	,	PUNCT
cana-4262	133	29	𝜙	𝜙	X
cana-4262	133	30	=	=	SYM
cana-4262	133	31	𝑦6	𝑦6	PROPN
cana-4262	133	32	,	,	PUNCT
cana-4262	133	33	𝜙′	𝜙′	NOUN
cana-4262	133	34	=	=	SYM
cana-4262	133	35	𝑦7	𝑦7	ADJ
cana-4262	133	36	prescribed	prescribe	VERB
cana-4262	133	37	heat	heat	NOUN
cana-4262	133	38	flux	flux	NOUN
cana-4262	133	39	case	case	NOUN
cana-4262	133	40	𝑓	𝑓	PRON
cana-4262	133	41	=	=	PUNCT
cana-4262	133	42	𝑦1	𝑦1	PROPN
cana-4262	133	43	,	,	PUNCT
cana-4262	133	44	𝑓′	𝑓′	NOUN
cana-4262	133	45	=	=	SYM
cana-4262	133	46	𝑦2	𝑦2	PROPN
cana-4262	133	47	,	,	PUNCT
cana-4262	133	48	𝑓′′	𝑓′′	PROPN
cana-4262	133	49	=	=	SYM
cana-4262	133	50	𝑦3	𝑦3	PROPN
cana-4262	133	51	,	,	PUNCT
cana-4262	133	52	𝜃	𝜃	NOUN
cana-4262	133	53	=	=	SYM
cana-4262	133	54	𝑦4	𝑦4	NOUN
cana-4262	133	55	,	,	PUNCT
cana-4262	133	56	𝜃′	𝜃′	PUNCT
cana-4262	133	57	=	=	SYM
cana-4262	133	58	𝑦5	𝑦5	NOUN
cana-4262	133	59	,	,	PUNCT
cana-4262	133	60	𝜙	𝜙	X
cana-4262	133	61	=	=	SYM
cana-4262	133	62	𝑦6	𝑦6	PROPN
cana-4262	133	63	,	,	PUNCT
cana-4262	133	64	𝜙′	𝜙′	NOUN
cana-4262	133	65	=	=	SYM
cana-4262	133	66	𝑦7	𝑦7	NOUN
cana-4262	133	67	communications	communication	NOUN
cana-4262	133	68	on	on	ADP
cana-4262	133	69	applied	apply	VERB
cana-4262	133	70	nonlinear	nonlinear	ADJ
cana-4262	133	71	analysis	analysis	NOUN
cana-4262	133	72	issn	issn	NOUN
cana-4262	133	73	:	:	PUNCT
cana-4262	133	74	1074	1074	NUM
cana-4262	133	75	-	-	PUNCT
cana-4262	133	76	133x	133x	NUM
cana-4262	133	77	vol	vol	NOUN
cana-4262	133	78	32	32	NUM
cana-4262	134	1	no	no	NOUN
cana-4262	134	2	.	.	PUNCT
cana-4262	135	1	9s	9s	NUM
cana-4262	135	2	(	(	PUNCT
cana-4262	135	3	2025	2025	NUM
cana-4262	135	4	)	)	PUNCT
cana-4262	135	5	1657	1657	NUM
cana-4262	135	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	135	7	step-2	step-2	NUM
cana-4262	135	8	:	:	PUNCT
cana-4262	135	9	𝑓′′′	𝑓′′′	PROPN
cana-4262	135	10	=	=	PUNCT
cana-4262	136	1	−𝑦1𝑦3	−𝑦1𝑦3	NOUN
cana-4262	136	2	+	+	NUM
cana-4262	136	3	𝑦2	𝑦2	PROPN
cana-4262	136	4	2	2	NUM
cana-4262	136	5	−	−	NOUN
cana-4262	136	6	𝜀2	𝜀2	NOUN
cana-4262	136	7	−	−	PROPN
cana-4262	136	8	(	(	PUNCT
cana-4262	136	9	𝜀	𝜀	X
cana-4262	136	10	−	−	PROPN
cana-4262	136	11	𝑦2)(𝜆	𝑦2)(𝜆	PROPN
cana-4262	136	12	+	+	PROPN
cana-4262	136	13	𝑀	𝑀	PROPN
cana-4262	136	14	)	)	PUNCT
cana-4262	136	15	−	−	PROPN
cana-4262	136	16	𝐹𝑟(𝜀2	𝐹𝑟(𝜀2	NUM
cana-4262	136	17	−	−	PROPN
cana-4262	136	18	𝑦2	𝑦2	PROPN
cana-4262	136	19	2	2	NUM
cana-4262	136	20	)	)	PUNCT
cana-4262	136	21	+	+	CCONJ
cana-4262	136	22	𝜁	𝜁	PROPN
cana-4262	136	23	(	(	PUNCT
cana-4262	136	24	𝜂	𝜂	PROPN
cana-4262	136	25	2	2	NUM
cana-4262	136	26	𝑦3	𝑦3	PROPN
cana-4262	136	27	+	+	CCONJ
cana-4262	136	28	𝑦2	𝑦2	PROPN
cana-4262	136	29	−	−	PROPN
cana-4262	136	30	𝜀	𝜀	PROPN
cana-4262	136	31	)	)	PUNCT
cana-4262	136	32	−	−	PROPN
cana-4262	137	1	𝐺(𝑦4	𝐺(𝑦4	NOUN
cana-4262	137	2	+	+	X
cana-4262	137	3	𝑁𝑦6	𝑁𝑦6	ADJ
cana-4262	137	4	)	)	PUNCT
cana-4262	138	1	1	1	NUM
cana-4262	138	2	+	+	SYM
cana-4262	138	3	1	1	NUM
cana-4262	138	4	𝛽1	𝛽1	NOUN
cana-4262	138	5	for	for	ADP
cana-4262	138	6	pst	pst	ADJ
cana-4262	138	7	case	case	NOUN
cana-4262	138	8	:	:	PUNCT
cana-4262	138	9	𝜃′′	𝜃′′	NOUN
cana-4262	138	10	=	=	PUNCT
cana-4262	139	1	𝑃𝑟	𝑃𝑟	PROPN
cana-4262	139	2	[	[	X
cana-4262	139	3	𝜁	𝜁	X
cana-4262	139	4	(	(	PUNCT
cana-4262	139	5	𝜂	𝜂	PROPN
cana-4262	139	6	2	2	NUM
cana-4262	139	7	𝑦5	𝑦5	NOUN
cana-4262	139	8	+	+	CCONJ
cana-4262	139	9	𝑦4	𝑦4	NOUN
cana-4262	139	10	)	)	PUNCT
cana-4262	139	11	−	−	PROPN
cana-4262	140	1	𝑦1𝑦5	𝑦1𝑦5	SYM
cana-4262	140	2	+	+	PUNCT
cana-4262	140	3	𝑦2𝑦4	𝑦2𝑦4	NOUN
cana-4262	140	4	]	]	X
cana-4262	140	5	−	−	PROPN
cana-4262	140	6	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	140	7	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	141	1	𝑦7𝑦5	𝑦7𝑦5	NOUN
cana-4262	141	2	−	−	PRON
cana-4262	141	3	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	141	4	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	141	5	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	141	6	𝑦5	𝑦5	NOUN
cana-4262	141	7	2	2	NUM
cana-4262	141	8	for	for	ADP
cana-4262	141	9	phf	phf	NOUN
cana-4262	141	10	case	case	NOUN
cana-4262	141	11	:	:	PUNCT
cana-4262	141	12	𝑚′′	𝑚′′	PROPN
cana-4262	141	13	=	=	SYM
cana-4262	141	14	𝑃𝑟	𝑃𝑟	PROPN
cana-4262	141	15	[	[	X
cana-4262	141	16	𝜁	𝜁	X
cana-4262	141	17	(	(	PUNCT
cana-4262	141	18	𝜂	𝜂	PROPN
cana-4262	141	19	2	2	NUM
cana-4262	141	20	𝑦5	𝑦5	NOUN
cana-4262	141	21	+	+	CCONJ
cana-4262	141	22	𝑦4	𝑦4	NOUN
cana-4262	141	23	)	)	PUNCT
cana-4262	141	24	−	−	PROPN
cana-4262	142	1	𝑦1𝑦5	𝑦1𝑦5	SYM
cana-4262	142	2	+	+	PUNCT
cana-4262	142	3	𝑦2𝑦4	𝑦2𝑦4	NOUN
cana-4262	142	4	]	]	X
cana-4262	142	5	−	−	PROPN
cana-4262	142	6	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	142	7	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	143	1	𝑦7𝑦5	𝑦7𝑦5	NOUN
cana-4262	143	2	−	−	PRON
cana-4262	143	3	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	143	4	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	143	5	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	143	6	𝑦5	𝑦5	NOUN
cana-4262	143	7	2	2	NUM
cana-4262	143	8	𝜙′′	𝜙′′	NOUN
cana-4262	143	9	=	=	SYM
cana-4262	143	10	𝑆𝑐	𝑆𝑐	PROPN
cana-4262	143	11	[	[	X
cana-4262	143	12	(	(	PUNCT
cana-4262	143	13	𝜁	𝜁	PROPN
cana-4262	143	14	(	(	PUNCT
cana-4262	143	15	𝜂	𝜂	PROPN
cana-4262	143	16	2	2	NUM
cana-4262	143	17	𝑦7	𝑦7	NOUN
cana-4262	143	18	+	+	CCONJ
cana-4262	143	19	𝑦6	𝑦6	NOUN
cana-4262	143	20	)	)	PUNCT
cana-4262	143	21	)	)	PUNCT
cana-4262	144	1	+	+	CCONJ
cana-4262	144	2	𝑦2𝑦6	𝑦2𝑦6	AUX
cana-4262	144	3	−	−	NOUN
cana-4262	144	4	𝑦1𝑦7	𝑦1𝑦7	AUX
cana-4262	144	5	]	]	PUNCT
cana-4262	144	6	−	−	PROPN
cana-4262	144	7	1	1	NUM
cana-4262	144	8	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	144	9	step-3	step-3	NUM
cana-4262	144	10	:	:	PUNCT
cana-4262	144	11	the	the	DET
cana-4262	144	12	boundary	boundary	ADJ
cana-4262	144	13	conditions	condition	NOUN
cana-4262	144	14	change	change	VERB
cana-4262	144	15	as	as	ADP
cana-4262	144	16	a	a	DET
cana-4262	144	17	consequence	consequence	NOUN
cana-4262	144	18	of	of	ADP
cana-4262	144	19	new	new	ADJ
cana-4262	144	20	variables	variable	NOUN
cana-4262	144	21	:	:	PUNCT
cana-4262	144	22	𝑦1	𝑦1	NOUN
cana-4262	144	23	′	′	NUM
cana-4262	144	24	=	=	SYM
cana-4262	144	25	0	0	NUM
cana-4262	144	26	,	,	PUNCT
cana-4262	144	27	𝑦2	𝑦2	NOUN
cana-4262	144	28	′	′	NUM
cana-4262	145	1	=	=	SYM
cana-4262	145	2	1	1	NUM
cana-4262	145	3	,	,	PUNCT
cana-4262	145	4	𝑦4	𝑦4	NOUN
cana-4262	145	5	′	′	NUM
cana-4262	145	6	=	=	SYM
cana-4262	145	7	1	1	X
cana-4262	145	8	,	,	PUNCT
cana-4262	145	9	𝑦6	𝑦6	VERB
cana-4262	145	10	′	′	NUM
cana-4262	145	11	=	=	SYM
cana-4262	145	12	1	1	NUM
cana-4262	145	13	,	,	PUNCT
cana-4262	145	14	𝑦2	𝑦2	NOUN
cana-4262	145	15	′′	′′	PROPN
cana-4262	145	16	=	=	SYM
cana-4262	145	17	𝜀	𝜀	PROPN
cana-4262	145	18	,	,	PUNCT
cana-4262	145	19	𝑦4	𝑦4	NOUN
cana-4262	145	20	′′	′′	PROPN
cana-4262	145	21	=	=	SYM
cana-4262	145	22	0	0	NUM
cana-4262	145	23	,	,	PUNCT
cana-4262	145	24	𝑦6	𝑦6	ADJ
cana-4262	145	25	′′	′′	PROPN
cana-4262	145	26	=	=	SYM
cana-4262	145	27	0	0	PUNCT
cana-4262	146	1	(	(	PUNCT
cana-4262	146	2	pst	pst	ADJ
cana-4262	146	3	case	case	NOUN
cana-4262	146	4	)	)	PUNCT
cana-4262	146	5	𝑦1	𝑦1	NOUN
cana-4262	146	6	′	′	NUM
cana-4262	146	7	=	=	SYM
cana-4262	146	8	0	0	NUM
cana-4262	146	9	,	,	PUNCT
cana-4262	146	10	𝑦2	𝑦2	NOUN
cana-4262	146	11	′	′	NUM
cana-4262	147	1	=	=	SYM
cana-4262	147	2	1	1	NUM
cana-4262	147	3	,	,	PUNCT
cana-4262	147	4	𝑦5	𝑦5	NOUN
cana-4262	147	5	′	′	NOUN
cana-4262	147	6	=	=	SYM
cana-4262	147	7	−1	−1	NOUN
cana-4262	147	8	,	,	PUNCT
cana-4262	147	9	𝑦6	𝑦6	VERB
cana-4262	147	10	′	′	NUM
cana-4262	147	11	=	=	SYM
cana-4262	147	12	1	1	NUM
cana-4262	147	13	,	,	PUNCT
cana-4262	147	14	𝑦2	𝑦2	NOUN
cana-4262	147	15	′′	′′	PROPN
cana-4262	147	16	=	=	SYM
cana-4262	147	17	𝜀	𝜀	PROPN
cana-4262	147	18	,	,	PUNCT
cana-4262	147	19	𝑦4	𝑦4	NOUN
cana-4262	147	20	′′	′′	PROPN
cana-4262	147	21	=	=	SYM
cana-4262	147	22	0	0	NUM
cana-4262	147	23	,	,	PUNCT
cana-4262	147	24	𝑦6	𝑦6	ADJ
cana-4262	147	25	′′	′′	PROPN
cana-4262	147	26	=	=	SYM
cana-4262	147	27	0	0	PUNCT
cana-4262	147	28	(	(	PUNCT
cana-4262	147	29	phf	phf	NOUN
cana-4262	147	30	case	case	NOUN
cana-4262	147	31	)	)	PUNCT
cana-4262	148	1	step-4	step-4	NUM
cana-4262	148	2	:	:	PUNCT
cana-4262	148	3	in	in	ADP
cana-4262	148	4	this	this	DET
cana-4262	148	5	case	case	NOUN
cana-4262	148	6	,	,	PUNCT
cana-4262	148	7	𝑤′	𝑤′	PRON
cana-4262	148	8	characterizes	characterize	VERB
cana-4262	148	9	position	position	NOUN
cana-4262	148	10	at	at	ADP
cana-4262	148	11	𝜂	𝜂	NOUN
cana-4262	148	12	=	=	SYM
cana-4262	148	13	0	0	NUM
cana-4262	148	14	whereas	whereas	SCONJ
cana-4262	148	15	𝑤𝑢	𝑤𝑢	PROPN
cana-4262	148	16	characterizes	characterize	VERB
cana-4262	148	17	position	position	NOUN
cana-4262	148	18	as	as	ADP
cana-4262	148	19	𝜂	𝜂	NOUN
cana-4262	148	20	→	→	SYM
cana-4262	148	21	∞	∞	NUM
cana-4262	148	22	.	.	PUNCT
cana-4262	149	1	matlab	matlab	PROPN
cana-4262	149	2	’s	’s	PART
cana-4262	149	3	bvp4c	bvp4c	PROPN
cana-4262	149	4	solver	solver	NOUN
cana-4262	149	5	is	be	AUX
cana-4262	149	6	used	use	VERB
cana-4262	149	7	to	to	PART
cana-4262	149	8	resolve	resolve	VERB
cana-4262	149	9	the	the	DET
cana-4262	149	10	system	system	NOUN
cana-4262	149	11	of	of	ADP
cana-4262	149	12	1st	1st	ADJ
cana-4262	149	13	-	-	PUNCT
cana-4262	149	14	order	order	NOUN
cana-4262	149	15	equations	equation	NOUN
cana-4262	149	16	using	use	VERB
cana-4262	149	17	boundary	boundary	ADJ
cana-4262	149	18	conditions	condition	NOUN
cana-4262	149	19	.	.	PUNCT
cana-4262	150	1	to	to	PART
cana-4262	150	2	maintain	maintain	VERB
cana-4262	150	3	accuracy	accuracy	NOUN
cana-4262	150	4	,	,	PUNCT
cana-4262	150	5	initial	initial	ADJ
cana-4262	150	6	assumptions	assumption	NOUN
cana-4262	150	7	,	,	PUNCT
cana-4262	150	8	boundary	boundary	ADJ
cana-4262	150	9	layer	layer	NOUN
cana-4262	150	10	edge	edge	NOUN
cana-4262	150	11	position	position	NOUN
cana-4262	150	12	,	,	PUNCT
cana-4262	150	13	and	and	CCONJ
cana-4262	150	14	step	step	NOUN
cana-4262	150	15	size	size	NOUN
cana-4262	150	16	are	be	AUX
cana-4262	150	17	changed	change	VERB
cana-4262	150	18	as	as	ADP
cana-4262	150	19	necessary	necessary	ADJ
cana-4262	150	20	.	.	PUNCT
cana-4262	151	1	in	in	ADP
cana-4262	151	2	our	our	PRON
cana-4262	151	3	study	study	NOUN
cana-4262	151	4	,	,	PUNCT
cana-4262	151	5	we	we	PRON
cana-4262	151	6	have	have	AUX
cana-4262	151	7	investigated	investigate	VERB
cana-4262	151	8	heat	heat	NOUN
cana-4262	151	9	transfer	transfer	NOUN
cana-4262	151	10	and	and	CCONJ
cana-4262	151	11	the	the	DET
cana-4262	151	12	impacts	impact	NOUN
cana-4262	151	13	of	of	ADP
cana-4262	151	14	many	many	ADJ
cana-4262	151	15	increase	increase	NOUN
cana-4262	151	16	in	in	ADP
cana-4262	151	17	physical	physical	ADJ
cana-4262	151	18	parameters	parameter	NOUN
cana-4262	151	19	including	include	VERB
cana-4262	151	20	𝜀	𝜀	PROPN
cana-4262	151	21	,	,	PUNCT
cana-4262	151	22	𝐿𝑒	𝐿𝑒	PROPN
cana-4262	151	23	,	,	PUNCT
cana-4262	151	24	𝑃𝑟	𝑃𝑟	PROPN
cana-4262	151	25	,	,	PUNCT
cana-4262	151	26	𝑆𝑐	𝑆𝑐	PROPN
cana-4262	151	27	,	,	PUNCT
cana-4262	151	28	𝑁𝑐	𝑁𝑐	PROPN
cana-4262	151	29	,	,	PUNCT
cana-4262	151	30	𝑁𝑏𝑡	𝑁𝑏𝑡	PROPN
cana-4262	151	31	,	,	PUNCT
cana-4262	151	32	𝛽1	𝛽1	NOUN
cana-4262	151	33	,	,	PUNCT
cana-4262	151	34	𝜆	𝜆	NOUN
cana-4262	151	35	,	,	PUNCT
cana-4262	151	36	𝐹𝑟	𝐹𝑟	PROPN
cana-4262	151	37	,	,	PUNCT
cana-4262	151	38	𝐺	𝐺	PROPN
cana-4262	151	39	,	,	PUNCT
cana-4262	151	40	n	n	PROPN
cana-4262	151	41	and	and	CCONJ
cana-4262	151	42	ζ	ζ	NOUN
cana-4262	151	43	on	on	ADP
cana-4262	151	44	temperature	temperature	NOUN
cana-4262	151	45	𝜃(𝜂	𝜃(𝜂	NOUN
cana-4262	151	46	)	)	PUNCT
cana-4262	151	47	,	,	PUNCT
cana-4262	151	48	velocity	velocity	NOUN
cana-4262	151	49	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-4262	151	50	)	)	PUNCT
cana-4262	151	51	,	,	PUNCT
cana-4262	151	52	as	as	ADV
cana-4262	151	53	well	well	ADV
cana-4262	151	54	as	as	ADP
cana-4262	151	55	nanoparticle	nanoparticle	NOUN
cana-4262	151	56	concentration	concentration	NOUN
cana-4262	151	57	profiles	profile	NOUN
cana-4262	151	58	𝜑(𝜂	𝜑(𝜂	PROPN
cana-4262	151	59	)	)	PUNCT
cana-4262	151	60	and	and	CCONJ
cana-4262	151	61	the	the	DET
cana-4262	151	62	findings	finding	NOUN
cana-4262	151	63	were	be	AUX
cana-4262	151	64	shown	show	VERB
cana-4262	151	65	by	by	ADP
cana-4262	151	66	figures	figure	NOUN
cana-4262	151	67	.	.	PUNCT
cana-4262	152	1	code	code	NOUN
cana-4262	152	2	verification	verification	NOUN
cana-4262	152	3	:	:	PUNCT
cana-4262	152	4	with	with	ADP
cana-4262	152	5	a	a	DET
cana-4262	152	6	few	few	ADJ
cana-4262	152	7	previously	previously	ADV
cana-4262	152	8	published	publish	VERB
cana-4262	152	9	studies	study	NOUN
cana-4262	152	10	,	,	PUNCT
cana-4262	152	11	we	we	PRON
cana-4262	152	12	have	have	AUX
cana-4262	152	13	compared	compare	VERB
cana-4262	152	14	our	our	PRON
cana-4262	152	15	results	result	NOUN
cana-4262	152	16	to	to	PART
cana-4262	152	17	make	make	VERB
cana-4262	152	18	sure	sure	ADJ
cana-4262	152	19	our	our	PRON
cana-4262	152	20	assumptions	assumption	NOUN
cana-4262	152	21	are	be	AUX
cana-4262	152	22	reasonable	reasonable	ADJ
cana-4262	152	23	and	and	CCONJ
cana-4262	152	24	our	our	PRON
cana-4262	152	25	code	code	NOUN
cana-4262	152	26	is	be	AUX
cana-4262	152	27	reliable	reliable	ADJ
cana-4262	152	28	.	.	PUNCT
cana-4262	153	1	comparative	comparative	ADJ
cana-4262	153	2	study	study	NOUN
cana-4262	153	3	of	of	ADP
cana-4262	153	4	f''(0	f''(0	NOUN
cana-4262	153	5	)	)	PUNCT
cana-4262	153	6	values	value	NOUN
cana-4262	153	7	for	for	ADP
cana-4262	153	8	different	different	ADJ
cana-4262	153	9	ε	ε	PROPN
cana-4262	153	10	values	value	VERB
cana-4262	153	11	givenin	givenin	ADJ
cana-4262	153	12	table	table	NOUN
cana-4262	153	13	-1	-1	ADP
cana-4262	153	14	in	in	ADP
cana-4262	153	15	such	such	DET
cana-4262	153	16	a	a	DET
cana-4262	153	17	way	way	NOUN
cana-4262	154	1	that	that	PRON
cana-4262	154	2	ζ	ζ	AUX
cana-4262	154	3	=	=	SYM
cana-4262	154	4	g	g	NOUN
cana-4262	154	5	=	=	SYM
cana-4262	154	6	n	n	PROPN
cana-4262	154	7	=	=	SYM
cana-4262	154	8	β	β	X
cana-4262	154	9	1	1	NUM
cana-4262	154	10	=	=	SYM
cana-4262	154	11	0	0	PUNCT
cana-4262	155	1	=	=	NOUN
cana-4262	155	2	fr	fr	NOUN
cana-4262	155	3	=	=	PUNCT
cana-4262	155	4	λ	λ	PROPN
cana-4262	155	5	=	=	PUNCT
cana-4262	155	6	m.	m.	NOUN
cana-4262	155	7	the	the	DET
cana-4262	155	8	obtained	obtain	VERB
cana-4262	155	9	results	result	NOUN
cana-4262	155	10	are	be	AUX
cana-4262	155	11	in	in	ADP
cana-4262	155	12	good	good	ADJ
cana-4262	155	13	accord	accord	NOUN
cana-4262	155	14	with	with	ADP
cana-4262	155	15	the	the	DET
cana-4262	155	16	work	work	NOUN
cana-4262	155	17	of	of	ADP
cana-4262	155	18	thakur	thakur	PROPN
cana-4262	155	19	&	&	CCONJ
cana-4262	155	20	sood	sood	PROPN
cana-4262	156	1	[	[	X
cana-4262	156	2	27	27	NUM
cana-4262	156	3	]	]	PUNCT
cana-4262	156	4	,	,	PUNCT
cana-4262	156	5	hayat	hayat	PROPN
cana-4262	156	6	et	et	PROPN
cana-4262	156	7	al	al	PROPN
cana-4262	156	8	.	.	PUNCT
cana-4262	157	1	[	[	X
cana-4262	157	2	28	28	NUM
cana-4262	157	3	]	]	PUNCT
cana-4262	157	4	,	,	PUNCT
cana-4262	157	5	and	and	CCONJ
cana-4262	157	6	devi	devi	PROPN
cana-4262	157	7	and	and	CCONJ
cana-4262	157	8	sood	sood	PROPN
cana-4262	158	1	[	[	X
cana-4262	158	2	22	22	NUM
cana-4262	158	3	]	]	PUNCT
cana-4262	158	4	.	.	PUNCT
cana-4262	159	1	table	table	NOUN
cana-4262	159	2	1	1	NUM
cana-4262	159	3	:	:	PUNCT
cana-4262	159	4	comparative	comparative	ADJ
cana-4262	159	5	𝒇′′(𝟎	𝒇′′(𝟎	NOUN
cana-4262	159	6	)	)	PUNCT
cana-4262	159	7	values	value	NOUN
cana-4262	159	8	for	for	ADP
cana-4262	159	9	distinct	distinct	ADJ
cana-4262	159	10	ε	ε	PROPN
cana-4262	159	11	values	value	NOUN
cana-4262	159	12	s	s	PART
cana-4262	159	13	thakur	thakur	PROPN
cana-4262	159	14	&	&	CCONJ
cana-4262	159	15	sood	sood	PROPN
cana-4262	159	16	[	[	X
cana-4262	159	17	27	27	NUM
cana-4262	159	18	]	]	X
cana-4262	159	19	hayat	hayat	PROPN
cana-4262	159	20	et	et	PROPN
cana-4262	159	21	al	al	PROPN
cana-4262	159	22	.	.	PUNCT
cana-4262	160	1	[	[	X
cana-4262	160	2	28	28	NUM
cana-4262	160	3	]	]	X
cana-4262	160	4	devi	devi	PROPN
cana-4262	160	5	and	and	CCONJ
cana-4262	160	6	sood	sood	PROPN
cana-4262	160	7	[	[	X
cana-4262	160	8	22	22	NUM
cana-4262	160	9	]	]	X
cana-4262	160	10	present	present	ADJ
cana-4262	160	11	study	study	NOUN
cana-4262	160	12	0.1	0.1	NUM
cana-4262	160	13	-0.9694	-0.9694	NOUN
cana-4262	160	14	-0.9694	-0.9694	PROPN
cana-4262	160	15	-0.9694	-0.9694	PROPN
cana-4262	161	1	-0.9694	-0.9694	PROPN
cana-4262	161	2	0.2	0.2	NUM
cana-4262	161	3	-0.9181	-0.9181	PROPN
cana-4262	161	4	-0.9181	-0.9181	PROPN
cana-4262	161	5	-0.9181	-0.9181	PROPN
cana-4262	161	6	-0.9181	-0.9181	PROPN
cana-4262	161	7	communications	communication	NOUN
cana-4262	161	8	on	on	ADP
cana-4262	161	9	applied	apply	VERB
cana-4262	161	10	nonlinear	nonlinear	ADJ
cana-4262	161	11	analysis	analysis	NOUN
cana-4262	161	12	issn	issn	NOUN
cana-4262	161	13	:	:	PUNCT
cana-4262	161	14	1074	1074	NUM
cana-4262	161	15	-	-	PUNCT
cana-4262	161	16	133x	133x	NUM
cana-4262	161	17	vol	vol	NOUN
cana-4262	161	18	32	32	NUM
cana-4262	161	19	no	no	NOUN
cana-4262	161	20	.	.	PUNCT
cana-4262	162	1	9s	9s	NUM
cana-4262	162	2	(	(	PUNCT
cana-4262	162	3	2025	2025	NUM
cana-4262	162	4	)	)	PUNCT
cana-4262	162	5	1658	1658	NUM
cana-4262	162	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	162	7	0.5	0.5	NUM
cana-4262	162	8	-0.6673	-0.6673	PROPN
cana-4262	162	9	-0.6673	-0.6673	PROPN
cana-4262	162	10	-0.6673	-0.6673	PROPN
cana-4262	162	11	-0.6673	-0.6673	PROPN
cana-4262	162	12	2	2	NUM
cana-4262	163	1	2.0176	2.0176	NUM
cana-4262	163	2	2.0176	2.0176	NUM
cana-4262	163	3	2.0187	2.0187	NUM
cana-4262	163	4	2.0187	2.0187	NUM
cana-4262	163	5	findings	finding	NOUN
cana-4262	163	6	:	:	PUNCT
cana-4262	163	7	we	we	PRON
cana-4262	163	8	considered	consider	VERB
cana-4262	163	9	the	the	DET
cana-4262	163	10	parameter	parameter	NOUN
cana-4262	163	11	values	value	NOUN
cana-4262	163	12	in	in	ADP
cana-4262	163	13	the	the	DET
cana-4262	163	14	numerical	numerical	ADJ
cana-4262	163	15	computations	computation	NOUN
cana-4262	163	16	as	as	ADP
cana-4262	163	17	m	m	PROPN
cana-4262	163	18	=	=	SYM
cana-4262	163	19	0	0	NUM
cana-4262	163	20	.5	.5	NUM
cana-4262	163	21	,	,	PUNCT
cana-4262	163	22	sc	sc	X
cana-4262	163	23	=	=	SYM
cana-4262	163	24	5	5	NUM
cana-4262	163	25	,	,	PUNCT
cana-4262	163	26	nc	nc	PROPN
cana-4262	163	27	=	=	SYM
cana-4262	163	28	2	2	NUM
cana-4262	163	29	,	,	PUNCT
cana-4262	163	30	nbt	nbt	VERB
cana-4262	163	31	=	=	NOUN
cana-4262	163	32	2	2	NUM
cana-4262	163	33	,	,	PUNCT
cana-4262	163	34	pr	pr	NOUN
cana-4262	163	35	=	=	SYM
cana-4262	163	36	1	1	NUM
cana-4262	163	37	,	,	PUNCT
cana-4262	163	38	le	le	X
cana-4262	163	39	=	=	SYM
cana-4262	163	40	5	5	NUM
cana-4262	163	41	,	,	PUNCT
cana-4262	163	42	ε	ε	PROPN
cana-4262	163	43	=	=	SYM
cana-4262	163	44	0	0	PROPN
cana-4262	163	45	.2	.2	NUM
cana-4262	163	46	,	,	PUNCT
cana-4262	163	47	λ	λ	X
cana-4262	163	48	=	=	SYM
cana-4262	163	49	0	0	NUM
cana-4262	163	50	.5	.5	NUM
cana-4262	163	51	,	,	PUNCT
cana-4262	163	52	β1	β1	PROPN
cana-4262	163	53	=	=	SYM
cana-4262	163	54	1	1	NUM
cana-4262	163	55	,	,	PUNCT
cana-4262	163	56	fr	fr	NOUN
cana-4262	163	57	=	=	SYM
cana-4262	163	58	1	1	NUM
cana-4262	163	59	,	,	PUNCT
cana-4262	163	60	ζ	ζ	NOUN
cana-4262	163	61	=	=	SYM
cana-4262	163	62	0	0	NUM
cana-4262	163	63	.1	.1	NUM
cana-4262	163	64	,	,	PUNCT
cana-4262	163	65	n	n	PROPN
cana-4262	163	66	=	=	SYM
cana-4262	163	67	0	0	NUM
cana-4262	163	68	.6	.6	NUM
cana-4262	163	69	,	,	PUNCT
cana-4262	163	70	g	g	NOUN
cana-4262	163	71	=	=	SYM
cana-4262	163	72	2	2	X
cana-4262	163	73	.	.	NOUN
cana-4262	163	74	results	result	NOUN
cana-4262	163	75	and	and	CCONJ
cana-4262	163	76	discussion	discussion	NOUN
cana-4262	163	77	:	:	PUNCT
cana-4262	163	78	the	the	DET
cana-4262	163	79	findings	finding	NOUN
cana-4262	163	80	of	of	ADP
cana-4262	163	81	this	this	DET
cana-4262	163	82	study	study	NOUN
cana-4262	163	83	are	be	AUX
cana-4262	163	84	presented	present	VERB
cana-4262	163	85	through	through	ADP
cana-4262	163	86	a	a	DET
cana-4262	163	87	series	series	NOUN
cana-4262	163	88	of	of	ADP
cana-4262	163	89	graphs	graph	NOUN
cana-4262	163	90	,	,	PUNCT
cana-4262	163	91	each	each	PRON
cana-4262	163	92	illustrating	illustrate	VERB
cana-4262	163	93	a	a	DET
cana-4262	163	94	distinct	distinct	ADJ
cana-4262	163	95	aspect	aspect	NOUN
cana-4262	163	96	of	of	ADP
cana-4262	163	97	two	two	NUM
cana-4262	163	98	-	-	PUNCT
cana-4262	163	99	dimensional	dimensional	ADJ
cana-4262	163	100	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	163	101	flow	flow	NOUN
cana-4262	163	102	of	of	ADP
cana-4262	163	103	casson	casson	PROPN
cana-4262	163	104	fluids	fluid	NOUN
cana-4262	163	105	through	through	ADP
cana-4262	163	106	a	a	DET
cana-4262	163	107	porous	porous	ADJ
cana-4262	163	108	medium	medium	NOUN
cana-4262	163	109	,	,	PUNCT
cana-4262	163	110	incorporating	incorporate	VERB
cana-4262	163	111	the	the	DET
cana-4262	163	112	darcy	darcy	PROPN
cana-4262	163	113	-	-	PUNCT
cana-4262	163	114	forchheimer	forchheimer	PROPN
cana-4262	163	115	model	model	NOUN
cana-4262	163	116	,	,	PUNCT
cana-4262	163	117	over	over	ADP
cana-4262	163	118	a	a	DET
cana-4262	163	119	stretching	stretch	VERB
cana-4262	163	120	sheet	sheet	NOUN
cana-4262	163	121	.	.	PUNCT
cana-4262	164	1	the	the	DET
cana-4262	164	2	graphical	graphical	ADJ
cana-4262	164	3	results	result	NOUN
cana-4262	164	4	focus	focus	VERB
cana-4262	164	5	on	on	ADP
cana-4262	164	6	sensitivity	sensitivity	NOUN
cana-4262	164	7	analysis	analysis	NOUN
cana-4262	164	8	,	,	PUNCT
cana-4262	164	9	examining	examine	VERB
cana-4262	164	10	the	the	DET
cana-4262	164	11	impact	impact	NOUN
cana-4262	164	12	of	of	ADP
cana-4262	164	13	key	key	ADJ
cana-4262	164	14	parameters	parameter	NOUN
cana-4262	164	15	–	–	PUNCT
cana-4262	164	16	magnetic	magnetic	ADJ
cana-4262	164	17	parameter	parameter	NOUN
cana-4262	164	18	(	(	PUNCT
cana-4262	164	19	m	m	NOUN
cana-4262	164	20	)	)	PUNCT
cana-4262	164	21	,	,	PUNCT
cana-4262	164	22	convection	convection	NOUN
cana-4262	164	23	parameter	parameter	NOUN
cana-4262	164	24	(	(	PUNCT
cana-4262	164	25	g	g	NOUN
cana-4262	164	26	)	)	PUNCT
cana-4262	164	27	,	,	PUNCT
cana-4262	164	28	buoyancy	buoyancy	NOUN
cana-4262	164	29	ratio	ratio	NOUN
cana-4262	164	30	parameter	parameter	NOUN
cana-4262	164	31	(	(	PUNCT
cana-4262	164	32	n	n	CCONJ
cana-4262	164	33	)	)	PUNCT
cana-4262	164	34	,	,	PUNCT
cana-4262	164	35	unsteadiness	unsteadiness	ADJ
cana-4262	164	36	parameter	parameter	NOUN
cana-4262	164	37	(	(	PUNCT
cana-4262	164	38	ζ	ζ	NOUN
cana-4262	164	39	)	)	PUNCT
cana-4262	164	40	,	,	PUNCT
cana-4262	164	41	velocity	velocity	NOUN
cana-4262	164	42	ratio	ratio	NOUN
cana-4262	164	43	parameter	parameter	NOUN
cana-4262	164	44	(	(	PUNCT
cana-4262	164	45	ϵ	ϵ	NOUN
cana-4262	164	46	)	)	PUNCT
cana-4262	164	47	,	,	PUNCT
cana-4262	164	48	and	and	CCONJ
cana-4262	164	49	casson	casson	PROPN
cana-4262	164	50	parameter	parameter	NOUN
cana-4262	164	51	(	(	PUNCT
cana-4262	164	52	β_1	β_1	PROPN
cana-4262	164	53	)	)	PUNCT
cana-4262	164	54	–	–	PUNCT
cana-4262	164	55	on	on	ADP
cana-4262	164	56	thermophysical	thermophysical	ADJ
cana-4262	164	57	flow	flow	NOUN
cana-4262	164	58	.	.	PUNCT
cana-4262	165	1	the	the	DET
cana-4262	165	2	visual	visual	ADJ
cana-4262	165	3	representation	representation	NOUN
cana-4262	165	4	of	of	ADP
cana-4262	165	5	results	result	NOUN
cana-4262	165	6	enables	enable	VERB
cana-4262	165	7	a	a	DET
cana-4262	165	8	thorough	thorough	ADJ
cana-4262	165	9	understanding	understanding	NOUN
cana-4262	165	10	of	of	ADP
cana-4262	165	11	the	the	DET
cana-4262	165	12	phenomena	phenomenon	NOUN
cana-4262	165	13	and	and	CCONJ
cana-4262	165	14	facilitates	facilitate	VERB
cana-4262	165	15	the	the	DET
cana-4262	165	16	drawing	drawing	NOUN
cana-4262	165	17	of	of	ADP
cana-4262	165	18	meaningful	meaningful	ADJ
cana-4262	165	19	conclusions	conclusion	NOUN
cana-4262	165	20	.	.	PUNCT
cana-4262	166	1	figure	figure	VERB
cana-4262	166	2	2	2	NUM
cana-4262	166	3	:	:	PUNCT
cana-4262	166	4	impact	impact	NOUN
cana-4262	166	5	of	of	ADP
cana-4262	166	6	g	g	PROPN
cana-4262	166	7	(	(	PUNCT
cana-4262	166	8	thermal	thermal	ADJ
cana-4262	166	9	convection	convection	NOUN
cana-4262	166	10	parameter	parameter	NOUN
cana-4262	166	11	)	)	PUNCT
cana-4262	166	12	on	on	ADP
cana-4262	166	13	velocity	velocity	NOUN
cana-4262	166	14	profile	profile	NOUN
cana-4262	166	15	figure	figure	NOUN
cana-4262	166	16	2	2	NUM
cana-4262	166	17	illustrates	illustrate	VERB
cana-4262	166	18	the	the	DET
cana-4262	166	19	increasing	increase	VERB
cana-4262	166	20	in	in	ADP
cana-4262	166	21	profile	profile	NOUN
cana-4262	166	22	with	with	ADP
cana-4262	166	23	increasing	increase	VERB
cana-4262	166	24	in	in	ADP
cana-4262	166	25	g	g	NOUN
cana-4262	166	26	due	due	ADP
cana-4262	166	27	to	to	ADP
cana-4262	166	28	non	non	ADJ
cana-4262	166	29	-	-	ADJ
cana-4262	166	30	linear	linear	ADJ
cana-4262	166	31	convection	convection	NOUN
cana-4262	166	32	parameter	parameter	NOUN
cana-4262	166	33	,	,	PUNCT
cana-4262	166	34	driven	drive	VERB
cana-4262	166	35	by	by	ADP
cana-4262	166	36	enhanced	enhanced	ADJ
cana-4262	166	37	buoyancy	buoyancy	NOUN
cana-4262	166	38	-	-	PUNCT
cana-4262	166	39	dominated	dominate	VERB
cana-4262	166	40	fluid	fluid	NOUN
cana-4262	166	41	dynamics	dynamic	NOUN
cana-4262	166	42	.	.	PUNCT
cana-4262	167	1	when	when	SCONJ
cana-4262	167	2	the	the	DET
cana-4262	167	3	thermal	thermal	ADJ
cana-4262	167	4	convection	convection	NOUN
cana-4262	167	5	parameter	parameter	NOUN
cana-4262	167	6	increases	increase	NOUN
cana-4262	167	7	,	,	PUNCT
cana-4262	167	8	buoyancy	buoyancy	NOUN
cana-4262	167	9	forces	force	NOUN
cana-4262	167	10	that	that	PRON
cana-4262	167	11	arise	arise	VERB
cana-4262	167	12	from	from	ADP
cana-4262	167	13	temperature	temperature	NOUN
cana-4262	167	14	differences	difference	NOUN
cana-4262	167	15	between	between	ADP
cana-4262	167	16	the	the	DET
cana-4262	167	17	fluid	fluid	NOUN
cana-4262	167	18	and	and	CCONJ
cana-4262	167	19	its	its	PRON
cana-4262	167	20	surroundings	surrounding	NOUN
cana-4262	167	21	become	become	VERB
cana-4262	167	22	more	more	ADV
cana-4262	167	23	significant	significant	ADJ
cana-4262	167	24	.	.	PUNCT
cana-4262	168	1	stronger	strong	ADJ
cana-4262	168	2	buoyancy	buoyancy	NOUN
cana-4262	168	3	forces	force	NOUN
cana-4262	168	4	drive	drive	VERB
cana-4262	168	5	more	more	ADV
cana-4262	168	6	vigorous	vigorous	ADJ
cana-4262	168	7	convective	convective	ADJ
cana-4262	168	8	currents	current	NOUN
cana-4262	168	9	,	,	PUNCT
cana-4262	168	10	with	with	ADP
cana-4262	168	11	hot	hot	ADJ
cana-4262	168	12	fluid	fluid	NOUN
cana-4262	168	13	rising	rise	VERB
cana-4262	168	14	and	and	CCONJ
cana-4262	168	15	cold	cold	ADJ
cana-4262	168	16	fluid	fluid	ADJ
cana-4262	168	17	sinking	sinking	NOUN
cana-4262	168	18	.	.	PUNCT
cana-4262	169	1	this	this	PRON
cana-4262	169	2	leads	lead	VERB
cana-4262	169	3	to	to	ADP
cana-4262	169	4	more	more	ADV
cana-4262	169	5	vigorous	vigorous	ADJ
cana-4262	169	6	convection	convection	NOUN
cana-4262	169	7	currents	current	NOUN
cana-4262	169	8	.	.	PUNCT
cana-4262	170	1	communications	communication	NOUN
cana-4262	170	2	on	on	ADP
cana-4262	170	3	applied	apply	VERB
cana-4262	170	4	nonlinear	nonlinear	ADJ
cana-4262	170	5	analysis	analysis	NOUN
cana-4262	170	6	issn	issn	NOUN
cana-4262	170	7	:	:	PUNCT
cana-4262	170	8	1074	1074	NUM
cana-4262	170	9	-	-	PUNCT
cana-4262	170	10	133x	133x	NUM
cana-4262	170	11	vol	vol	NOUN
cana-4262	170	12	32	32	NUM
cana-4262	170	13	no	no	NOUN
cana-4262	170	14	.	.	PUNCT
cana-4262	171	1	9s	9s	NUM
cana-4262	171	2	(	(	PUNCT
cana-4262	171	3	2025	2025	NUM
cana-4262	171	4	)	)	PUNCT
cana-4262	171	5	1659	1659	NUM
cana-4262	171	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	171	7	figure	figure	NOUN
cana-4262	171	8	3	3	NUM
cana-4262	171	9	:	:	PUNCT
cana-4262	171	10	impact	impact	NOUN
cana-4262	171	11	of	of	ADP
cana-4262	171	12	𝐆	𝐆	PROPN
cana-4262	171	13	(	(	PUNCT
cana-4262	171	14	thermal	thermal	ADJ
cana-4262	171	15	convection	convection	NOUN
cana-4262	171	16	parameter	parameter	NOUN
cana-4262	171	17	)	)	PUNCT
cana-4262	171	18	on	on	ADP
cana-4262	171	19	temperature	temperature	NOUN
cana-4262	171	20	profile	profile	NOUN
cana-4262	171	21	figure	figure	NOUN
cana-4262	171	22	3	3	NUM
cana-4262	171	23	illustrates	illustrate	VERB
cana-4262	171	24	the	the	DET
cana-4262	171	25	influence	influence	NOUN
cana-4262	171	26	of	of	ADP
cana-4262	171	27	g	g	NOUN
cana-4262	171	28	on	on	ADP
cana-4262	171	29	the	the	DET
cana-4262	171	30	boundary	boundary	ADJ
cana-4262	171	31	layer	layer	NOUN
cana-4262	171	32	and	and	CCONJ
cana-4262	171	33	temperature	temperature	NOUN
cana-4262	171	34	profile	profile	NOUN
cana-4262	171	35	.	.	PUNCT
cana-4262	172	1	as	as	SCONJ
cana-4262	172	2	g	g	PROPN
cana-4262	172	3	increases	increase	NOUN
cana-4262	172	4	,	,	PUNCT
cana-4262	172	5	θ(η	θ(η	NOUN
cana-4262	172	6	)	)	PUNCT
cana-4262	172	7	decreases	decrease	VERB
cana-4262	172	8	,	,	PUNCT
cana-4262	172	9	indicating	indicate	VERB
cana-4262	172	10	a	a	DET
cana-4262	172	11	contraction	contraction	NOUN
cana-4262	172	12	of	of	ADP
cana-4262	172	13	the	the	DET
cana-4262	172	14	boundary	boundary	ADJ
cana-4262	172	15	layer	layer	NOUN
cana-4262	172	16	thickness	thickness	NOUN
cana-4262	172	17	due	due	ADP
cana-4262	172	18	to	to	ADP
cana-4262	172	19	enhanced	enhance	VERB
cana-4262	172	20	temperature	temperature	NOUN
cana-4262	172	21	gradients	gradient	NOUN
cana-4262	172	22	.	.	PUNCT
cana-4262	173	1	concurrently	concurrently	ADV
cana-4262	173	2	,	,	PUNCT
cana-4262	173	3	the	the	DET
cana-4262	173	4	fluid	fluid	NOUN
cana-4262	173	5	's	's	PART
cana-4262	173	6	temperature	temperature	NOUN
cana-4262	173	7	profile	profile	NOUN
cana-4262	173	8	decreases	decrease	VERB
cana-4262	173	9	,	,	PUNCT
cana-4262	173	10	demonstrating	demonstrate	VERB
cana-4262	173	11	the	the	DET
cana-4262	173	12	thermodynamic	thermodynamic	ADJ
cana-4262	173	13	coupling	coupling	NOUN
cana-4262	173	14	between	between	ADP
cana-4262	173	15	g	g	PROPN
cana-4262	173	16	and	and	CCONJ
cana-4262	173	17	thermal	thermal	ADJ
cana-4262	173	18	transport	transport	NOUN
cana-4262	173	19	.	.	PUNCT
cana-4262	174	1	figure	figure	VERB
cana-4262	174	2	4	4	NUM
cana-4262	174	3	:	:	PUNCT
cana-4262	174	4	impact	impact	NOUN
cana-4262	174	5	of	of	ADP
cana-4262	174	6	g	g	PROPN
cana-4262	174	7	(	(	PUNCT
cana-4262	174	8	thermal	thermal	ADJ
cana-4262	174	9	convection	convection	NOUN
cana-4262	174	10	parameter	parameter	NOUN
cana-4262	174	11	)	)	PUNCT
cana-4262	174	12	on	on	ADP
cana-4262	174	13	concentration	concentration	NOUN
cana-4262	174	14	profile	profile	NOUN
cana-4262	174	15	figure	figure	NOUN
cana-4262	174	16	4	4	NUM
cana-4262	174	17	illustrates	illustrate	VERB
cana-4262	174	18	the	the	DET
cana-4262	174	19	impact	impact	NOUN
cana-4262	174	20	of	of	ADP
cana-4262	174	21	the	the	DET
cana-4262	174	22	thermal	thermal	ADJ
cana-4262	174	23	convection	convection	NOUN
cana-4262	174	24	parameter	parameter	NOUN
cana-4262	174	25	on	on	ADP
cana-4262	174	26	the	the	DET
cana-4262	174	27	concentration	concentration	NOUN
cana-4262	174	28	profile	profile	NOUN
cana-4262	174	29	,	,	PUNCT
cana-4262	174	30	highlighting	highlight	VERB
cana-4262	174	31	its	its	PRON
cana-4262	174	32	reduction	reduction	NOUN
cana-4262	174	33	due	due	ADP
cana-4262	174	34	to	to	ADP
cana-4262	174	35	a	a	DET
cana-4262	174	36	larger	large	ADJ
cana-4262	174	37	reaction	reaction	NOUN
cana-4262	174	38	rate	rate	NOUN
cana-4262	174	39	parameter	parameter	NOUN
cana-4262	174	40	.	.	PUNCT
cana-4262	175	1	as	as	SCONJ
cana-4262	175	2	the	the	DET
cana-4262	175	3	thermal	thermal	ADJ
cana-4262	175	4	convection	convection	NOUN
cana-4262	175	5	parameter	parameter	NOUN
cana-4262	175	6	increases	increase	NOUN
cana-4262	175	7	,	,	PUNCT
cana-4262	175	8	enhanced	enhance	VERB
cana-4262	175	9	buoyancy	buoyancy	NOUN
cana-4262	175	10	forces	force	NOUN
cana-4262	175	11	drive	drive	VERB
cana-4262	175	12	more	more	ADV
cana-4262	175	13	intense	intense	ADJ
cana-4262	175	14	fluid	fluid	ADJ
cana-4262	175	15	motion	motion	NOUN
cana-4262	175	16	,	,	PUNCT
cana-4262	175	17	facilitating	facilitate	VERB
cana-4262	175	18	rapid	rapid	ADJ
cana-4262	175	19	mixing	mixing	NOUN
cana-4262	175	20	of	of	ADP
cana-4262	175	21	species	specie	NOUN
cana-4262	175	22	and	and	CCONJ
cana-4262	175	23	a	a	DET
cana-4262	175	24	more	more	ADV
cana-4262	175	25	uniform	uniform	ADJ
cana-4262	175	26	concentration	concentration	NOUN
cana-4262	175	27	distribution	distribution	NOUN
cana-4262	175	28	throughout	throughout	ADP
cana-4262	175	29	the	the	DET
cana-4262	175	30	fluid	fluid	NOUN
cana-4262	175	31	.	.	PUNCT
cana-4262	176	1	consequently	consequently	ADV
cana-4262	176	2	,	,	PUNCT
cana-4262	176	3	the	the	DET
cana-4262	176	4	concentration	concentration	NOUN
cana-4262	176	5	gradient	gradient	NOUN
cana-4262	176	6	becomes	become	VERB
cana-4262	176	7	less	less	ADV
cana-4262	176	8	pronounced	pronounced	ADJ
cana-4262	176	9	,	,	PUNCT
cana-4262	176	10	departing	depart	VERB
cana-4262	176	11	from	from	ADP
cana-4262	176	12	the	the	DET
cana-4262	176	13	characteristics	characteristic	NOUN
cana-4262	176	14	of	of	ADP
cana-4262	176	15	a	a	DET
cana-4262	176	16	purely	purely	ADV
cana-4262	176	17	diffusive	diffusive	ADJ
cana-4262	176	18	system	system	NOUN
cana-4262	176	19	.	.	PUNCT
cana-4262	177	1	communications	communication	NOUN
cana-4262	177	2	on	on	ADP
cana-4262	177	3	applied	apply	VERB
cana-4262	177	4	nonlinear	nonlinear	ADJ
cana-4262	177	5	analysis	analysis	NOUN
cana-4262	177	6	issn	issn	NOUN
cana-4262	177	7	:	:	PUNCT
cana-4262	177	8	1074	1074	NUM
cana-4262	177	9	-	-	PUNCT
cana-4262	177	10	133x	133x	NUM
cana-4262	177	11	vol	vol	NOUN
cana-4262	177	12	32	32	NUM
cana-4262	177	13	no	no	NOUN
cana-4262	177	14	.	.	PUNCT
cana-4262	178	1	9s	9s	NUM
cana-4262	178	2	(	(	PUNCT
cana-4262	178	3	2025	2025	NUM
cana-4262	178	4	)	)	PUNCT
cana-4262	178	5	1660	1660	NUM
cana-4262	178	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	178	7	figure	figure	NOUN
cana-4262	178	8	5	5	NUM
cana-4262	178	9	:	:	PUNCT
cana-4262	178	10	impact	impact	NOUN
cana-4262	178	11	of	of	ADP
cana-4262	178	12	m	m	PROPN
cana-4262	178	13	(	(	PUNCT
cana-4262	178	14	magnetic	magnetic	ADJ
cana-4262	178	15	parameter	parameter	NOUN
cana-4262	178	16	)	)	PUNCT
cana-4262	178	17	on	on	ADP
cana-4262	178	18	velocity	velocity	NOUN
cana-4262	178	19	profile	profile	NOUN
cana-4262	178	20	figure	figure	NOUN
cana-4262	178	21	5	5	NUM
cana-4262	178	22	depicts	depict	VERB
cana-4262	178	23	the	the	DET
cana-4262	178	24	decrease	decrease	NOUN
cana-4262	178	25	in	in	ADP
cana-4262	178	26	velocity	velocity	NOUN
cana-4262	178	27	profile	profile	NOUN
cana-4262	178	28	f'(η	f'(η	ADV
cana-4262	178	29	)	)	PUNCT
cana-4262	178	30	with	with	ADP
cana-4262	178	31	escalating	escalate	VERB
cana-4262	178	32	magnetic	magnetic	ADJ
cana-4262	178	33	field	field	NOUN
cana-4262	178	34	strength	strength	NOUN
cana-4262	178	35	m.	m.	NOUN
cana-4262	178	36	the	the	DET
cana-4262	178	37	applied	apply	VERB
cana-4262	178	38	magnetic	magnetic	ADJ
cana-4262	178	39	field	field	NOUN
cana-4262	178	40	generates	generate	VERB
cana-4262	178	41	a	a	DET
cana-4262	178	42	lorentz	lorentz	ADJ
cana-4262	178	43	force	force	NOUN
cana-4262	178	44	that	that	PRON
cana-4262	178	45	counteracts	counteract	VERB
cana-4262	178	46	fluid	fluid	ADJ
cana-4262	178	47	motion	motion	NOUN
cana-4262	178	48	,	,	PUNCT
cana-4262	178	49	inducing	induce	VERB
cana-4262	178	50	magnetic	magnetic	ADJ
cana-4262	178	51	damping	damp	VERB
cana-4262	178	52	that	that	SCONJ
cana-4262	178	53	resists	resist	VERB
cana-4262	178	54	fluid	fluid	ADJ
cana-4262	178	55	flow	flow	NOUN
cana-4262	178	56	.	.	PUNCT
cana-4262	179	1	as	as	SCONJ
cana-4262	179	2	the	the	DET
cana-4262	179	3	magnetic	magnetic	ADJ
cana-4262	179	4	parameter	parameter	NOUN
cana-4262	179	5	(	(	PUNCT
cana-4262	179	6	hartmann	hartmann	PROPN
cana-4262	179	7	number	number	NOUN
cana-4262	179	8	)	)	PUNCT
cana-4262	179	9	increases	increase	NOUN
cana-4262	179	10	,	,	PUNCT
cana-4262	179	11	the	the	DET
cana-4262	179	12	conducting	conduct	VERB
cana-4262	179	13	fluid	fluid	NOUN
cana-4262	179	14	interacts	interact	VERB
cana-4262	179	15	with	with	ADP
cana-4262	179	16	the	the	DET
cana-4262	179	17	magnetic	magnetic	ADJ
cana-4262	179	18	field	field	NOUN
cana-4262	179	19	,	,	PUNCT
cana-4262	179	20	producing	produce	VERB
cana-4262	179	21	a	a	DET
cana-4262	179	22	resistive	resistive	ADJ
cana-4262	179	23	lorentz	lorentz	PROPN
cana-4262	179	24	force	force	NOUN
cana-4262	179	25	that	that	PRON
cana-4262	179	26	opposes	oppose	VERB
cana-4262	179	27	flow	flow	NOUN
cana-4262	179	28	.	.	PUNCT
cana-4262	180	1	consequently	consequently	ADV
cana-4262	180	2	,	,	PUNCT
cana-4262	180	3	the	the	DET
cana-4262	180	4	fluid	fluid	NOUN
cana-4262	180	5	's	's	PART
cana-4262	180	6	velocity	velocity	NOUN
cana-4262	180	7	diminishes	diminish	VERB
cana-4262	180	8	,	,	PUNCT
cana-4262	180	9	particularly	particularly	ADV
cana-4262	180	10	in	in	ADP
cana-4262	180	11	the	the	DET
cana-4262	180	12	direction	direction	NOUN
cana-4262	180	13	of	of	ADP
cana-4262	180	14	the	the	DET
cana-4262	180	15	applied	apply	VERB
cana-4262	180	16	magnetic	magnetic	ADJ
cana-4262	180	17	field	field	NOUN
cana-4262	180	18	,	,	PUNCT
cana-4262	180	19	resulting	result	VERB
cana-4262	180	20	in	in	ADP
cana-4262	180	21	a	a	DET
cana-4262	180	22	more	more	ADV
cana-4262	180	23	sluggish	sluggish	ADJ
cana-4262	180	24	flow	flow	NOUN
cana-4262	180	25	.	.	PUNCT
cana-4262	181	1	figure	figure	VERB
cana-4262	181	2	6	6	NUM
cana-4262	181	3	:	:	PUNCT
cana-4262	181	4	impact	impact	NOUN
cana-4262	181	5	of	of	ADP
cana-4262	181	6	m	m	PROPN
cana-4262	181	7	(	(	PUNCT
cana-4262	181	8	magnetic	magnetic	ADJ
cana-4262	181	9	parameter	parameter	NOUN
cana-4262	181	10	)	)	PUNCT
cana-4262	181	11	on	on	ADP
cana-4262	181	12	temperature	temperature	NOUN
cana-4262	181	13	profile	profile	NOUN
cana-4262	181	14	figure	figure	NOUN
cana-4262	181	15	6	6	NUM
cana-4262	181	16	demonstrates	demonstrate	VERB
cana-4262	181	17	that	that	SCONJ
cana-4262	181	18	the	the	DET
cana-4262	181	19	magnetic	magnetic	ADJ
cana-4262	181	20	field	field	NOUN
cana-4262	181	21	's	's	PART
cana-4262	181	22	influence	influence	NOUN
cana-4262	181	23	,	,	PUNCT
cana-4262	181	24	characterized	characterize	VERB
cana-4262	181	25	by	by	ADP
cana-4262	181	26	increasing	increase	VERB
cana-4262	181	27	m	m	PROPN
cana-4262	181	28	,	,	PUNCT
cana-4262	181	29	leads	lead	VERB
cana-4262	181	30	to	to	ADP
cana-4262	181	31	an	an	DET
cana-4262	181	32	increase	increase	NOUN
cana-4262	181	33	in	in	ADP
cana-4262	181	34	θ(η	θ(η	PROPN
cana-4262	181	35	)	)	PUNCT
cana-4262	181	36	,	,	PUNCT
cana-4262	181	37	implying	imply	VERB
cana-4262	181	38	a	a	DET
cana-4262	181	39	rise	rise	NOUN
cana-4262	181	40	in	in	ADP
cana-4262	181	41	surface	surface	NOUN
cana-4262	181	42	temperature	temperature	NOUN
cana-4262	181	43	due	due	ADP
cana-4262	181	44	to	to	ADP
cana-4262	181	45	magnetic	magnetic	ADJ
cana-4262	181	46	drag	drag	NOUN
cana-4262	181	47	.	.	PUNCT
cana-4262	182	1	as	as	ADP
cana-4262	182	2	the	the	DET
cana-4262	182	3	magnetic	magnetic	ADJ
cana-4262	182	4	parameter	parameter	NOUN
cana-4262	182	5	increases	increase	NOUN
cana-4262	182	6	,	,	PUNCT
cana-4262	182	7	the	the	DET
cana-4262	182	8	temperature	temperature	NOUN
cana-4262	182	9	profile	profile	NOUN
cana-4262	182	10	shifts	shift	NOUN
cana-4262	182	11	from	from	ADP
cana-4262	182	12	one	one	NUM
cana-4262	182	13	dominated	dominate	VERB
cana-4262	182	14	by	by	ADP
cana-4262	182	15	convection	convection	NOUN
cana-4262	182	16	(	(	PUNCT
cana-4262	182	17	with	with	ADP
cana-4262	182	18	steep	steep	ADJ
cana-4262	182	19	gradients	gradient	NOUN
cana-4262	182	20	)	)	PUNCT
cana-4262	182	21	to	to	ADP
cana-4262	182	22	one	one	NUM
cana-4262	182	23	controlled	control	VERB
cana-4262	182	24	by	by	ADP
cana-4262	182	25	diffusion	diffusion	NOUN
cana-4262	182	26	(	(	PUNCT
cana-4262	182	27	with	with	ADP
cana-4262	182	28	more	more	ADJ
cana-4262	182	29	uniform	uniform	ADJ
cana-4262	182	30	temperature	temperature	NOUN
cana-4262	182	31	distribution	distribution	NOUN
cana-4262	182	32	)	)	PUNCT
cana-4262	182	33	,	,	PUNCT
cana-4262	182	34	particularly	particularly	ADV
cana-4262	182	35	in	in	ADP
cana-4262	182	36	the	the	DET
cana-4262	182	37	bulk	bulk	NOUN
cana-4262	182	38	of	of	ADP
cana-4262	182	39	the	the	DET
cana-4262	182	40	fluid	fluid	NOUN
cana-4262	182	41	.	.	PUNCT
cana-4262	183	1	however	however	ADV
cana-4262	183	2	,	,	PUNCT
cana-4262	183	3	near	near	ADP
cana-4262	183	4	the	the	DET
cana-4262	183	5	boundary	boundary	ADJ
cana-4262	183	6	or	or	CCONJ
cana-4262	183	7	heat	heat	NOUN
cana-4262	183	8	source	source	NOUN
cana-4262	183	9	,	,	PUNCT
cana-4262	183	10	the	the	DET
cana-4262	183	11	temperature	temperature	NOUN
cana-4262	183	12	gradient	gradient	NOUN
cana-4262	183	13	remains	remain	VERB
cana-4262	183	14	sharp	sharp	ADJ
cana-4262	183	15	due	due	ADP
cana-4262	183	16	to	to	ADP
cana-4262	183	17	the	the	DET
cana-4262	183	18	relatively	relatively	ADV
cana-4262	183	19	more	more	ADV
cana-4262	183	20	efficient	efficient	ADJ
cana-4262	183	21	heat	heat	NOUN
cana-4262	183	22	transfer	transfer	NOUN
cana-4262	183	23	within	within	ADP
cana-4262	183	24	the	the	DET
cana-4262	183	25	hartmann	hartmann	PROPN
cana-4262	183	26	layer	layer	NOUN
cana-4262	183	27	.	.	PUNCT
cana-4262	184	1	communications	communication	NOUN
cana-4262	184	2	on	on	ADP
cana-4262	184	3	applied	apply	VERB
cana-4262	184	4	nonlinear	nonlinear	ADJ
cana-4262	184	5	analysis	analysis	NOUN
cana-4262	184	6	issn	issn	NOUN
cana-4262	184	7	:	:	PUNCT
cana-4262	184	8	1074	1074	NUM
cana-4262	184	9	-	-	PUNCT
cana-4262	184	10	133x	133x	NUM
cana-4262	184	11	vol	vol	NOUN
cana-4262	184	12	32	32	NUM
cana-4262	184	13	no	no	NOUN
cana-4262	184	14	.	.	PUNCT
cana-4262	185	1	9s	9s	NUM
cana-4262	185	2	(	(	PUNCT
cana-4262	185	3	2025	2025	NUM
cana-4262	185	4	)	)	PUNCT
cana-4262	185	5	1661	1661	NUM
cana-4262	185	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	185	7	figure	figure	NOUN
cana-4262	185	8	7	7	NUM
cana-4262	185	9	:	:	PUNCT
cana-4262	185	10	impact	impact	NOUN
cana-4262	185	11	of	of	ADP
cana-4262	185	12	m	m	PROPN
cana-4262	185	13	(	(	PUNCT
cana-4262	185	14	magnetic	magnetic	ADJ
cana-4262	185	15	parameter	parameter	NOUN
cana-4262	185	16	)	)	PUNCT
cana-4262	185	17	on	on	ADP
cana-4262	185	18	concentration	concentration	NOUN
cana-4262	185	19	profile	profile	NOUN
cana-4262	185	20	figure	figure	NOUN
cana-4262	185	21	7	7	NUM
cana-4262	185	22	illustrates	illustrate	VERB
cana-4262	185	23	the	the	DET
cana-4262	185	24	positive	positive	ADJ
cana-4262	185	25	correlation	correlation	NOUN
cana-4262	185	26	between	between	ADP
cana-4262	185	27	magnetic	magnetic	ADJ
cana-4262	185	28	field	field	NOUN
cana-4262	185	29	strength	strength	NOUN
cana-4262	185	30	(	(	PUNCT
cana-4262	185	31	m	m	NOUN
cana-4262	185	32	)	)	PUNCT
cana-4262	185	33	and	and	CCONJ
cana-4262	185	34	concentration	concentration	NOUN
cana-4262	185	35	profile	profile	NOUN
cana-4262	185	36	,	,	PUNCT
cana-4262	185	37	indicating	indicate	VERB
cana-4262	185	38	increased	increase	VERB
cana-4262	185	39	saturation	saturation	NOUN
cana-4262	185	40	in	in	ADP
cana-4262	185	41	porous	porous	ADJ
cana-4262	185	42	media	medium	NOUN
cana-4262	185	43	.	.	PUNCT
cana-4262	186	1	as	as	ADP
cana-4262	186	2	the	the	DET
cana-4262	186	3	magnetic	magnetic	ADJ
cana-4262	186	4	parameter	parameter	NOUN
cana-4262	186	5	increases	increase	NOUN
cana-4262	186	6	,	,	PUNCT
cana-4262	186	7	the	the	DET
cana-4262	186	8	concentration	concentration	NOUN
cana-4262	186	9	profile	profile	NOUN
cana-4262	186	10	shifts	shift	NOUN
cana-4262	186	11	from	from	ADP
cana-4262	186	12	one	one	NUM
cana-4262	186	13	dominated	dominate	VERB
cana-4262	186	14	by	by	ADP
cana-4262	186	15	convection	convection	NOUN
cana-4262	186	16	(	(	PUNCT
cana-4262	186	17	with	with	ADP
cana-4262	186	18	sharp	sharp	ADJ
cana-4262	186	19	gradients	gradient	NOUN
cana-4262	186	20	)	)	PUNCT
cana-4262	186	21	to	to	ADP
cana-4262	186	22	one	one	NUM
cana-4262	186	23	dominated	dominate	VERB
cana-4262	186	24	by	by	ADP
cana-4262	186	25	diffusion	diffusion	NOUN
cana-4262	186	26	(	(	PUNCT
cana-4262	186	27	with	with	ADP
cana-4262	186	28	smoother	smooth	ADJ
cana-4262	186	29	,	,	PUNCT
cana-4262	186	30	more	more	ADV
cana-4262	186	31	gradual	gradual	ADJ
cana-4262	186	32	concentration	concentration	NOUN
cana-4262	186	33	gradients	gradient	NOUN
cana-4262	186	34	)	)	PUNCT
cana-4262	186	35	.	.	PUNCT
cana-4262	187	1	the	the	DET
cana-4262	187	2	boundary	boundary	ADJ
cana-4262	187	3	layers	layer	NOUN
cana-4262	187	4	may	may	AUX
cana-4262	187	5	still	still	ADV
cana-4262	187	6	have	have	VERB
cana-4262	187	7	sharper	sharp	ADJ
cana-4262	187	8	gradients	gradient	NOUN
cana-4262	187	9	,	,	PUNCT
cana-4262	187	10	but	but	CCONJ
cana-4262	187	11	the	the	DET
cana-4262	187	12	bulk	bulk	NOUN
cana-4262	187	13	of	of	ADP
cana-4262	187	14	the	the	DET
cana-4262	187	15	fluid	fluid	NOUN
cana-4262	187	16	will	will	AUX
cana-4262	187	17	have	have	VERB
cana-4262	187	18	a	a	DET
cana-4262	187	19	more	more	ADV
cana-4262	187	20	uniform	uniform	ADJ
cana-4262	187	21	concentration	concentration	NOUN
cana-4262	187	22	due	due	ADP
cana-4262	187	23	to	to	ADP
cana-4262	187	24	the	the	DET
cana-4262	187	25	suppression	suppression	NOUN
cana-4262	187	26	of	of	ADP
cana-4262	187	27	convective	convective	ADJ
cana-4262	187	28	mixing	mixing	NOUN
cana-4262	187	29	.	.	PUNCT
cana-4262	188	1	figure	figure	NOUN
cana-4262	188	2	8	8	NUM
cana-4262	188	3	:	:	PUNCT
cana-4262	188	4	impact	impact	NOUN
cana-4262	188	5	of	of	ADP
cana-4262	188	6	n	n	PROPN
cana-4262	188	7	(	(	PUNCT
cana-4262	188	8	buoyancy	buoyancy	PROPN
cana-4262	188	9	ratio	ratio	NOUN
cana-4262	188	10	parameter	parameter	NOUN
cana-4262	188	11	)	)	PUNCT
cana-4262	188	12	on	on	ADP
cana-4262	188	13	velocity	velocity	NOUN
cana-4262	188	14	profile	profile	NOUN
cana-4262	188	15	as	as	SCONJ
cana-4262	188	16	shown	show	VERB
cana-4262	188	17	in	in	ADP
cana-4262	188	18	figure	figure	NOUN
cana-4262	188	19	8	8	NUM
cana-4262	188	20	,	,	PUNCT
cana-4262	188	21	increased	increase	VERB
cana-4262	188	22	buoyancy	buoyancy	NOUN
cana-4262	188	23	forces	force	NOUN
cana-4262	188	24	(	(	PUNCT
cana-4262	188	25	n	n	CCONJ
cana-4262	188	26	)	)	PUNCT
cana-4262	188	27	enhance	enhance	VERB
cana-4262	188	28	fluid	fluid	ADJ
cana-4262	188	29	velocity	velocity	NOUN
cana-4262	188	30	.	.	PUNCT
cana-4262	189	1	this	this	PRON
cana-4262	189	2	is	be	AUX
cana-4262	189	3	because	because	SCONJ
cana-4262	189	4	buoyant	buoyant	ADJ
cana-4262	189	5	forces	force	NOUN
cana-4262	189	6	are	be	AUX
cana-4262	189	7	directly	directly	ADV
cana-4262	189	8	correlated	correlate	VERB
cana-4262	189	9	with	with	ADP
cana-4262	189	10	fluid	fluid	ADJ
cana-4262	189	11	density	density	NOUN
cana-4262	189	12	,	,	PUNCT
cana-4262	189	13	which	which	PRON
cana-4262	189	14	in	in	ADP
cana-4262	189	15	turn	turn	NOUN
cana-4262	189	16	is	be	AUX
cana-4262	189	17	inversely	inversely	ADV
cana-4262	189	18	correlated	correlate	VERB
cana-4262	189	19	with	with	ADP
cana-4262	189	20	fluid	fluid	ADJ
cana-4262	189	21	temperature	temperature	NOUN
cana-4262	189	22	.	.	PUNCT
cana-4262	190	1	the	the	DET
cana-4262	190	2	buoyancy	buoyancy	NOUN
cana-4262	190	3	ratio	ratio	NOUN
cana-4262	190	4	parameter	parameter	NOUN
cana-4262	190	5	determines	determine	VERB
cana-4262	190	6	the	the	DET
cana-4262	190	7	relative	relative	ADJ
cana-4262	190	8	importance	importance	NOUN
cana-4262	190	9	of	of	ADP
cana-4262	190	10	thermal	thermal	ADJ
cana-4262	190	11	and	and	CCONJ
cana-4262	190	12	compositional	compositional	ADJ
cana-4262	190	13	buoyancy	buoyancy	NOUN
cana-4262	190	14	forces	force	NOUN
cana-4262	190	15	in	in	ADP
cana-4262	190	16	a	a	DET
cana-4262	190	17	fluid	fluid	NOUN
cana-4262	190	18	,	,	PUNCT
cana-4262	190	19	significantly	significantly	ADV
cana-4262	190	20	affecting	affect	VERB
cana-4262	190	21	the	the	DET
cana-4262	190	22	velocity	velocity	NOUN
cana-4262	190	23	profile	profile	NOUN
cana-4262	190	24	.	.	PUNCT
cana-4262	191	1	a	a	DET
cana-4262	191	2	high	high	ADJ
cana-4262	191	3	n	n	NOUN
cana-4262	191	4	leads	lead	VERB
cana-4262	191	5	communications	communication	NOUN
cana-4262	191	6	on	on	ADP
cana-4262	191	7	applied	apply	VERB
cana-4262	191	8	nonlinear	nonlinear	ADJ
cana-4262	191	9	analysis	analysis	NOUN
cana-4262	191	10	issn	issn	NOUN
cana-4262	191	11	:	:	PUNCT
cana-4262	191	12	1074	1074	NUM
cana-4262	191	13	-	-	PUNCT
cana-4262	191	14	133x	133x	NUM
cana-4262	191	15	vol	vol	NOUN
cana-4262	191	16	32	32	NUM
cana-4262	191	17	no	no	NOUN
cana-4262	191	18	.	.	PUNCT
cana-4262	192	1	9s	9s	NUM
cana-4262	192	2	(	(	PUNCT
cana-4262	192	3	2025	2025	NUM
cana-4262	192	4	)	)	PUNCT
cana-4262	192	5	1662	1662	NUM
cana-4262	192	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	192	7	to	to	ADP
cana-4262	192	8	vertical	vertical	ADJ
cana-4262	192	9	,	,	PUNCT
cana-4262	192	10	thermal	thermal	ADJ
cana-4262	192	11	-	-	PUNCT
cana-4262	192	12	dominant	dominant	NOUN
cana-4262	192	13	convection	convection	NOUN
cana-4262	192	14	,	,	PUNCT
cana-4262	192	15	while	while	SCONJ
cana-4262	192	16	a	a	DET
cana-4262	192	17	low	low	ADJ
cana-4262	192	18	n	n	NOUN
cana-4262	192	19	results	result	NOUN
cana-4262	192	20	in	in	ADP
cana-4262	192	21	lateral	lateral	ADJ
cana-4262	192	22	,	,	PUNCT
cana-4262	192	23	solutal	solutal	ADJ
cana-4262	192	24	-	-	PUNCT
cana-4262	192	25	dominant	dominant	NOUN
cana-4262	192	26	convection	convection	NOUN
cana-4262	192	27	.	.	PUNCT
cana-4262	193	1	the	the	DET
cana-4262	193	2	velocity	velocity	NOUN
cana-4262	193	3	profile	profile	NOUN
cana-4262	193	4	transitions	transition	NOUN
cana-4262	193	5	between	between	ADP
cana-4262	193	6	these	these	DET
cana-4262	193	7	regimes	regime	NOUN
cana-4262	193	8	based	base	VERB
cana-4262	193	9	on	on	ADP
cana-4262	193	10	the	the	DET
cana-4262	193	11	value	value	NOUN
cana-4262	193	12	of	of	ADP
cana-4262	193	13	n.	n.	NOUN
cana-4262	193	14	figure	figure	NOUN
cana-4262	193	15	9	9	NUM
cana-4262	193	16	:	:	PUNCT
cana-4262	193	17	impact	impact	NOUN
cana-4262	193	18	of	of	ADP
cana-4262	193	19	𝑵	𝑵	PROPN
cana-4262	193	20	(	(	PUNCT
cana-4262	193	21	buoyancy	buoyancy	NOUN
cana-4262	193	22	ratio	ratio	NOUN
cana-4262	193	23	parameter	parameter	NOUN
cana-4262	193	24	)	)	PUNCT
cana-4262	193	25	on	on	ADP
cana-4262	193	26	temperature	temperature	NOUN
cana-4262	193	27	profile	profile	NOUN
cana-4262	193	28	figure	figure	NOUN
cana-4262	193	29	9	9	NUM
cana-4262	193	30	shows	show	NOUN
cana-4262	193	31	where	where	SCONJ
cana-4262	193	32	shooting	shoot	VERB
cana-4262	193	33	values	value	NOUN
cana-4262	193	34	of	of	ADP
cana-4262	193	35	n	n	NUM
cana-4262	193	36	show	show	VERB
cana-4262	193	37	a	a	DET
cana-4262	193	38	noticeable	noticeable	ADJ
cana-4262	193	39	fall	fall	NOUN
cana-4262	193	40	in	in	ADP
cana-4262	193	41	θ(𝜂	θ(𝜂	NOUN
cana-4262	193	42	)	)	PUNCT
cana-4262	193	43	.	.	PUNCT
cana-4262	194	1	convection	convection	NOUN
cana-4262	194	2	and	and	CCONJ
cana-4262	194	3	temperature	temperature	NOUN
cana-4262	194	4	distribution	distribution	NOUN
cana-4262	194	5	are	be	AUX
cana-4262	194	6	improved	improve	VERB
cana-4262	194	7	by	by	ADP
cana-4262	194	8	an	an	DET
cana-4262	194	9	increase	increase	NOUN
cana-4262	194	10	in	in	ADP
cana-4262	194	11	fluid	fluid	ADJ
cana-4262	194	12	velocity	velocity	NOUN
cana-4262	194	13	,	,	PUNCT
cana-4262	194	14	which	which	PRON
cana-4262	194	15	is	be	AUX
cana-4262	194	16	brought	bring	VERB
cana-4262	194	17	on	on	ADP
cana-4262	194	18	by	by	ADP
cana-4262	194	19	an	an	DET
cana-4262	194	20	increase	increase	NOUN
cana-4262	194	21	in	in	ADP
cana-4262	194	22	buoyant	buoyant	ADJ
cana-4262	194	23	forces	force	NOUN
cana-4262	194	24	.	.	PUNCT
cana-4262	195	1	θ(𝜂	θ(𝜂	NOUN
cana-4262	195	2	)	)	PUNCT
cana-4262	195	3	declines	decline	NOUN
cana-4262	195	4	as	as	ADP
cana-4262	195	5	a	a	DET
cana-4262	195	6	result	result	NOUN
cana-4262	195	7	.	.	PUNCT
cana-4262	196	1	the	the	DET
cana-4262	196	2	buoyancy	buoyancy	NOUN
cana-4262	196	3	ratio	ratio	NOUN
cana-4262	196	4	parameter	parameter	NOUN
cana-4262	196	5	n	n	PROPN
cana-4262	196	6	strongly	strongly	ADV
cana-4262	196	7	influences	influence	VERB
cana-4262	196	8	the	the	DET
cana-4262	196	9	temperature	temperature	NOUN
cana-4262	196	10	profile	profile	NOUN
cana-4262	196	11	.	.	PUNCT
cana-4262	197	1	as	as	ADP
cana-4262	197	2	n	n	PRON
cana-4262	197	3	increases	increase	NOUN
cana-4262	197	4	,	,	PUNCT
cana-4262	197	5	thermal	thermal	ADJ
cana-4262	197	6	buoyancy	buoyancy	NOUN
cana-4262	197	7	dominates	dominate	VERB
cana-4262	197	8	,	,	PUNCT
cana-4262	197	9	leading	lead	VERB
cana-4262	197	10	to	to	AUX
cana-4262	197	11	steeper	steeper	VERB
cana-4262	197	12	temperature	temperature	NOUN
cana-4262	197	13	gradients	gradient	NOUN
cana-4262	197	14	and	and	CCONJ
cana-4262	197	15	stronger	strong	ADJ
cana-4262	197	16	thermal	thermal	ADJ
cana-4262	197	17	stratification	stratification	NOUN
cana-4262	197	18	.	.	PUNCT
cana-4262	198	1	as	as	SCONJ
cana-4262	198	2	n	n	PRON
cana-4262	198	3	decreases	decrease	NOUN
cana-4262	198	4	,	,	PUNCT
cana-4262	198	5	compositional	compositional	ADJ
cana-4262	198	6	buoyancy	buoyancy	NOUN
cana-4262	198	7	becomes	become	VERB
cana-4262	198	8	more	more	ADV
cana-4262	198	9	important	important	ADJ
cana-4262	198	10	,	,	PUNCT
cana-4262	198	11	resulting	result	VERB
cana-4262	198	12	in	in	ADP
cana-4262	198	13	a	a	DET
cana-4262	198	14	more	more	ADV
cana-4262	198	15	uniform	uniform	ADJ
cana-4262	198	16	temperature	temperature	NOUN
cana-4262	198	17	profile	profile	NOUN
cana-4262	198	18	dominated	dominate	VERB
cana-4262	198	19	by	by	ADP
cana-4262	198	20	diffusion	diffusion	NOUN
cana-4262	198	21	.	.	PUNCT
cana-4262	199	1	figure	figure	NOUN
cana-4262	199	2	10	10	NUM
cana-4262	199	3	:	:	PUNCT
cana-4262	199	4	impact	impact	NOUN
cana-4262	199	5	of	of	ADP
cana-4262	199	6	n	n	PROPN
cana-4262	199	7	(	(	PUNCT
cana-4262	199	8	buoyancy	buoyancy	PROPN
cana-4262	199	9	ratio	ratio	NOUN
cana-4262	199	10	parameter	parameter	NOUN
cana-4262	199	11	)	)	PUNCT
cana-4262	199	12	on	on	ADP
cana-4262	199	13	concentration	concentration	NOUN
cana-4262	199	14	profile	profile	NOUN
cana-4262	199	15	the	the	DET
cana-4262	199	16	concentration	concentration	NOUN
cana-4262	199	17	profile	profile	NOUN
cana-4262	199	18	drops	drop	VERB
cana-4262	199	19	for	for	ADP
cana-4262	199	20	high	high	ADJ
cana-4262	199	21	n	n	PRON
cana-4262	199	22	values	value	NOUN
cana-4262	199	23	,	,	PUNCT
cana-4262	199	24	as	as	SCONJ
cana-4262	199	25	observed	observe	VERB
cana-4262	199	26	in	in	ADP
cana-4262	199	27	figure	figure	NOUN
cana-4262	199	28	10	10	NUM
cana-4262	199	29	.	.	PUNCT
cana-4262	200	1	the	the	DET
cana-4262	200	2	concentration	concentration	NOUN
cana-4262	200	3	distribution	distribution	NOUN
cana-4262	200	4	is	be	AUX
cana-4262	200	5	improved	improve	VERB
cana-4262	200	6	by	by	ADP
cana-4262	200	7	increased	increase	VERB
cana-4262	200	8	buoyancy	buoyancy	NOUN
cana-4262	200	9	forces	force	NOUN
cana-4262	200	10	,	,	PUNCT
cana-4262	200	11	which	which	PRON
cana-4262	200	12	lowers	lower	VERB
cana-4262	200	13	the	the	DET
cana-4262	200	14	concentration	concentration	NOUN
cana-4262	200	15	profiles	profile	NOUN
cana-4262	200	16	.	.	PUNCT
cana-4262	201	1	the	the	DET
cana-4262	201	2	buoyancy	buoyancy	NOUN
cana-4262	201	3	ratio	ratio	NOUN
cana-4262	201	4	parameter	parameter	NOUN
cana-4262	201	5	n	n	CCONJ
cana-4262	201	6	directly	directly	ADV
cana-4262	201	7	impacts	impact	VERB
cana-4262	201	8	the	the	DET
cana-4262	201	9	concentration	concentration	NOUN
cana-4262	201	10	profile	profile	NOUN
cana-4262	201	11	by	by	ADP
cana-4262	201	12	altering	alter	VERB
cana-4262	201	13	the	the	DET
cana-4262	201	14	relative	relative	ADJ
cana-4262	201	15	communications	communication	NOUN
cana-4262	201	16	on	on	ADP
cana-4262	201	17	applied	apply	VERB
cana-4262	201	18	nonlinear	nonlinear	ADJ
cana-4262	201	19	analysis	analysis	NOUN
cana-4262	201	20	issn	issn	NOUN
cana-4262	201	21	:	:	PUNCT
cana-4262	201	22	1074	1074	NUM
cana-4262	201	23	-	-	PUNCT
cana-4262	201	24	133x	133x	NUM
cana-4262	201	25	vol	vol	NOUN
cana-4262	201	26	32	32	NUM
cana-4262	201	27	no	no	NOUN
cana-4262	201	28	.	.	PUNCT
cana-4262	202	1	9s	9s	NUM
cana-4262	202	2	(	(	PUNCT
cana-4262	202	3	2025	2025	NUM
cana-4262	202	4	)	)	PUNCT
cana-4262	202	5	1663	1663	NUM
cana-4262	202	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	202	7	importance	importance	NOUN
cana-4262	202	8	of	of	ADP
cana-4262	202	9	thermal	thermal	ADJ
cana-4262	202	10	and	and	CCONJ
cana-4262	202	11	solutal	solutal	ADJ
cana-4262	202	12	buoyancy	buoyancy	NOUN
cana-4262	202	13	in	in	ADP
cana-4262	202	14	the	the	DET
cana-4262	202	15	fluid	fluid	NOUN
cana-4262	202	16	's	's	PART
cana-4262	202	17	convection	convection	NOUN
cana-4262	202	18	.	.	PUNCT
cana-4262	203	1	a	a	PRON
cana-4262	203	2	higher	high	ADJ
cana-4262	203	3	n	n	NOUN
cana-4262	203	4	(	(	PUNCT
cana-4262	203	5	thermal	thermal	ADJ
cana-4262	203	6	-	-	PUNCT
cana-4262	203	7	dominant	dominant	NOUN
cana-4262	203	8	)	)	PUNCT
cana-4262	203	9	leads	lead	VERB
cana-4262	203	10	to	to	ADP
cana-4262	203	11	a	a	DET
cana-4262	203	12	more	more	ADV
cana-4262	203	13	uniform	uniform	ADJ
cana-4262	203	14	concentration	concentration	NOUN
cana-4262	203	15	profile	profile	NOUN
cana-4262	203	16	,	,	PUNCT
cana-4262	203	17	while	while	SCONJ
cana-4262	203	18	a	a	DET
cana-4262	203	19	lower	low	ADJ
cana-4262	203	20	n	n	NOUN
cana-4262	203	21	(	(	PUNCT
cana-4262	203	22	compositional	compositional	ADJ
cana-4262	203	23	-	-	PUNCT
cana-4262	203	24	dominant	dominant	NOUN
cana-4262	203	25	)	)	PUNCT
cana-4262	203	26	results	result	NOUN
cana-4262	203	27	in	in	ADP
cana-4262	203	28	stronger	strong	ADJ
cana-4262	203	29	concentration	concentration	NOUN
cana-4262	203	30	stratification	stratification	NOUN
cana-4262	203	31	.	.	PUNCT
cana-4262	204	1	figure	figure	VERB
cana-4262	204	2	11	11	NUM
cana-4262	204	3	:	:	PUNCT
cana-4262	204	4	impact	impact	NOUN
cana-4262	204	5	of	of	ADP
cana-4262	204	6	ζ	ζ	NOUN
cana-4262	204	7	(	(	PUNCT
cana-4262	204	8	unsteadiness	unsteadiness	NOUN
cana-4262	204	9	parameter	parameter	NOUN
cana-4262	204	10	)	)	PUNCT
cana-4262	204	11	on	on	ADP
cana-4262	204	12	velocity	velocity	NOUN
cana-4262	204	13	profile	profile	NOUN
cana-4262	204	14	figure	figure	NOUN
cana-4262	204	15	12	12	NUM
cana-4262	204	16	:	:	PUNCT
cana-4262	204	17	impact	impact	NOUN
cana-4262	204	18	of	of	ADP
cana-4262	204	19	ζ	ζ	NOUN
cana-4262	204	20	(	(	PUNCT
cana-4262	204	21	unsteadiness	unsteadiness	NOUN
cana-4262	204	22	parameter	parameter	NOUN
cana-4262	204	23	)	)	PUNCT
cana-4262	204	24	on	on	ADP
cana-4262	204	25	temperature	temperature	NOUN
cana-4262	204	26	profile	profile	NOUN
cana-4262	204	27	communications	communication	NOUN
cana-4262	204	28	on	on	ADP
cana-4262	204	29	applied	apply	VERB
cana-4262	204	30	nonlinear	nonlinear	ADJ
cana-4262	204	31	analysis	analysis	NOUN
cana-4262	204	32	issn	issn	NOUN
cana-4262	204	33	:	:	PUNCT
cana-4262	204	34	1074	1074	NUM
cana-4262	204	35	-	-	PUNCT
cana-4262	204	36	133x	133x	NUM
cana-4262	204	37	vol	vol	NOUN
cana-4262	204	38	32	32	NUM
cana-4262	204	39	no	no	NOUN
cana-4262	204	40	.	.	PUNCT
cana-4262	205	1	9s	9s	NUM
cana-4262	205	2	(	(	PUNCT
cana-4262	205	3	2025	2025	NUM
cana-4262	205	4	)	)	PUNCT
cana-4262	205	5	1664	1664	NUM
cana-4262	206	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	206	2	figure	figure	NOUN
cana-4262	206	3	13	13	NUM
cana-4262	206	4	:	:	PUNCT
cana-4262	206	5	impact	impact	NOUN
cana-4262	206	6	of	of	ADP
cana-4262	206	7	ζ	ζ	NOUN
cana-4262	206	8	(	(	PUNCT
cana-4262	206	9	unsteadiness	unsteadiness	NOUN
cana-4262	206	10	parameter	parameter	NOUN
cana-4262	206	11	)	)	PUNCT
cana-4262	206	12	on	on	ADP
cana-4262	206	13	concentration	concentration	NOUN
cana-4262	206	14	profile	profile	NOUN
cana-4262	206	15	the	the	DET
cana-4262	206	16	fluid	fluid	ADJ
cana-4262	206	17	velocity	velocity	NOUN
cana-4262	206	18	increases	increase	VERB
cana-4262	206	19	with	with	ADP
cana-4262	206	20	decreasing	decrease	VERB
cana-4262	206	21	temperature	temperature	NOUN
cana-4262	206	22	.	.	PUNCT
cana-4262	207	1	for	for	ADP
cana-4262	207	2	rising	rise	VERB
cana-4262	207	3	rates	rate	NOUN
cana-4262	207	4	of	of	ADP
cana-4262	207	5	unsteadiness	unsteadiness	NOUN
cana-4262	207	6	,	,	PUNCT
cana-4262	207	7	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-4262	207	8	)	)	PUNCT
cana-4262	207	9	exhibits	exhibit	VERB
cana-4262	207	10	a	a	DET
cana-4262	207	11	rather	rather	ADV
cana-4262	207	12	complex	complex	ADJ
cana-4262	207	13	behaviour	behaviour	NOUN
cana-4262	207	14	in	in	ADP
cana-4262	207	15	figure	figure	NOUN
cana-4262	207	16	11	11	NUM
cana-4262	207	17	.	.	PUNCT
cana-4262	208	1	whereas	whereas	SCONJ
cana-4262	208	2	ζ	ζ	NOUN
cana-4262	208	3	>	>	SYM
cana-4262	208	4	0	0	NUM
cana-4262	208	5	denotes	denote	NOUN
cana-4262	208	6	unsteadiness	unsteadiness	NOUN
cana-4262	208	7	,	,	PUNCT
cana-4262	208	8	𝜁	𝜁	PROPN
cana-4262	208	9	=	=	SYM
cana-4262	208	10	0	0	NUM
cana-4262	208	11	represents	represent	VERB
cana-4262	208	12	the	the	DET
cana-4262	208	13	steady	steady	ADJ
cana-4262	208	14	condition	condition	NOUN
cana-4262	208	15	.	.	PUNCT
cana-4262	209	1	the	the	DET
cana-4262	209	2	momentum	momentum	NOUN
cana-4262	209	3	thickness	thickness	NOUN
cana-4262	209	4	of	of	ADP
cana-4262	209	5	the	the	DET
cana-4262	209	6	boundary	boundary	ADJ
cana-4262	209	7	layer	layer	NOUN
cana-4262	209	8	near	near	ADP
cana-4262	209	9	to	to	ADP
cana-4262	209	10	stretching	stretch	VERB
cana-4262	209	11	surface	surface	NOUN
cana-4262	209	12	first	first	ADV
cana-4262	209	13	appears	appear	VERB
cana-4262	209	14	to	to	PART
cana-4262	209	15	diminish	diminish	VERB
cana-4262	209	16	as	as	ADP
cana-4262	209	17	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-4262	209	18	)	)	PUNCT
cana-4262	209	19	increases	increase	NOUN
cana-4262	209	20	with	with	ADP
cana-4262	209	21	ζ	ζ	NOUN
cana-4262	209	22	.	.	PUNCT
cana-4262	210	1	as	as	SCONJ
cana-4262	210	2	the	the	DET
cana-4262	210	3	rate	rate	NOUN
cana-4262	210	4	of	of	ADP
cana-4262	210	5	unsteadiness	unsteadiness	NOUN
cana-4262	210	6	increases	increase	NOUN
cana-4262	210	7	and	and	CCONJ
cana-4262	210	8	the	the	DET
cana-4262	210	9	fluid	fluid	ADJ
cana-4262	210	10	motion	motion	NOUN
cana-4262	210	11	becomes	become	VERB
cana-4262	210	12	more	more	ADV
cana-4262	210	13	intense	intense	ADJ
cana-4262	210	14	,	,	PUNCT
cana-4262	210	15	the	the	DET
cana-4262	210	16	fluid	fluid	ADJ
cana-4262	210	17	velocity	velocity	NOUN
cana-4262	210	18	and	and	CCONJ
cana-4262	210	19	the	the	DET
cana-4262	210	20	boundary	boundary	ADJ
cana-4262	210	21	layer	layer	NOUN
cana-4262	210	22	’s	’s	PART
cana-4262	210	23	thickness	thickness	NOUN
cana-4262	210	24	begin	begin	VERB
cana-4262	210	25	to	to	PART
cana-4262	210	26	grow	grow	VERB
cana-4262	210	27	.	.	PUNCT
cana-4262	211	1	figures	figure	NOUN
cana-4262	211	2	12	12	NUM
cana-4262	211	3	and	and	CCONJ
cana-4262	211	4	13	13	NUM
cana-4262	211	5	illustrate	illustrate	VERB
cana-4262	211	6	the	the	DET
cana-4262	211	7	impact	impact	NOUN
cana-4262	211	8	of	of	ADP
cana-4262	211	9	the	the	DET
cana-4262	211	10	unsteadiness	unsteadiness	ADJ
cana-4262	211	11	parameter	parameter	NOUN
cana-4262	211	12	on	on	ADP
cana-4262	211	13	temperature	temperature	NOUN
cana-4262	211	14	and	and	CCONJ
cana-4262	211	15	concentration	concentration	NOUN
cana-4262	211	16	profiles	profile	NOUN
cana-4262	211	17	.	.	PUNCT
cana-4262	212	1	increasing	increase	VERB
cana-4262	212	2	the	the	DET
cana-4262	212	3	unsteadiness	unsteadiness	ADJ
cana-4262	212	4	parameter	parameter	NOUN
cana-4262	212	5	leads	lead	VERB
cana-4262	212	6	to	to	ADP
cana-4262	212	7	a	a	DET
cana-4262	212	8	decrease	decrease	NOUN
cana-4262	212	9	in	in	ADP
cana-4262	212	10	both	both	DET
cana-4262	212	11	temperature	temperature	NOUN
cana-4262	212	12	and	and	CCONJ
cana-4262	212	13	concentration	concentration	NOUN
cana-4262	212	14	profiles	profile	NOUN
cana-4262	212	15	.	.	PUNCT
cana-4262	213	1	this	this	PRON
cana-4262	213	2	,	,	PUNCT
cana-4262	213	3	in	in	ADP
cana-4262	213	4	turn	turn	NOUN
cana-4262	213	5	,	,	PUNCT
cana-4262	213	6	reduces	reduce	VERB
cana-4262	213	7	the	the	DET
cana-4262	213	8	thermal	thermal	ADJ
cana-4262	213	9	boundary	boundary	ADJ
cana-4262	213	10	layer	layer	NOUN
cana-4262	213	11	thickness	thickness	NOUN
cana-4262	213	12	.	.	PUNCT
cana-4262	214	1	however	however	ADV
cana-4262	214	2	,	,	PUNCT
cana-4262	214	3	beyond	beyond	ADP
cana-4262	214	4	a	a	DET
cana-4262	214	5	certain	certain	ADJ
cana-4262	214	6	distance	distance	NOUN
cana-4262	214	7	from	from	ADP
cana-4262	214	8	the	the	DET
cana-4262	214	9	surface	surface	NOUN
cana-4262	214	10	,	,	PUNCT
cana-4262	214	11	the	the	DET
cana-4262	214	12	temperature	temperature	NOUN
cana-4262	214	13	distribution	distribution	NOUN
cana-4262	214	14	expands	expand	VERB
cana-4262	214	15	with	with	ADP
cana-4262	214	16	rising	rise	VERB
cana-4262	214	17	unsteadiness	unsteadiness	ADJ
cana-4262	214	18	parameter	parameter	NOUN
cana-4262	214	19	values	value	NOUN
cana-4262	214	20	(	(	PUNCT
cana-4262	214	21	ζ	ζ	NOUN
cana-4262	214	22	)	)	PUNCT
cana-4262	214	23	.	.	PUNCT
cana-4262	215	1	this	this	DET
cana-4262	215	2	phenomenon	phenomenon	NOUN
cana-4262	215	3	is	be	AUX
cana-4262	215	4	attributed	attribute	VERB
cana-4262	215	5	to	to	ADP
cana-4262	215	6	a	a	DET
cana-4262	215	7	decline	decline	NOUN
cana-4262	215	8	in	in	ADP
cana-4262	215	9	heat	heat	NOUN
cana-4262	215	10	transfer	transfer	NOUN
cana-4262	215	11	rate	rate	NOUN
cana-4262	215	12	near	near	ADP
cana-4262	215	13	the	the	DET
cana-4262	215	14	surface	surface	NOUN
cana-4262	215	15	,	,	PUNCT
cana-4262	215	16	resulting	result	VERB
cana-4262	215	17	in	in	ADP
cana-4262	215	18	lower	low	ADJ
cana-4262	215	19	temperatures	temperature	NOUN
cana-4262	215	20	.	.	PUNCT
cana-4262	216	1	a	a	DET
cana-4262	216	2	higher	high	ADJ
cana-4262	216	3	unsteadiness	unsteadiness	NOUN
cana-4262	216	4	parameter	parameter	NOUN
cana-4262	216	5	enhances	enhance	VERB
cana-4262	216	6	nanofluid	nanofluid	ADJ
cana-4262	216	7	molecule	molecule	NOUN
cana-4262	216	8	mobility	mobility	NOUN
cana-4262	216	9	,	,	PUNCT
cana-4262	216	10	whereas	whereas	SCONJ
cana-4262	216	11	lower	low	ADJ
cana-4262	216	12	unsteadiness	unsteadiness	NOUN
cana-4262	216	13	leads	lead	VERB
cana-4262	216	14	to	to	ADP
cana-4262	216	15	reduced	reduced	ADJ
cana-4262	216	16	agglomeration	agglomeration	NOUN
cana-4262	216	17	of	of	ADP
cana-4262	216	18	fluid	fluid	ADJ
cana-4262	216	19	molecules	molecule	NOUN
cana-4262	216	20	.	.	PUNCT
cana-4262	217	1	consequently	consequently	ADV
cana-4262	217	2	,	,	PUNCT
cana-4262	217	3	diminished	diminish	VERB
cana-4262	217	4	agglomeration	agglomeration	NOUN
cana-4262	217	5	results	result	NOUN
cana-4262	217	6	in	in	ADP
cana-4262	217	7	less	less	ADJ
cana-4262	217	8	concentration	concentration	NOUN
cana-4262	217	9	dispersion	dispersion	NOUN
cana-4262	217	10	.	.	PUNCT
cana-4262	218	1	figure	figure	VERB
cana-4262	218	2	14	14	NUM
cana-4262	218	3	:	:	PUNCT
cana-4262	218	4	impact	impact	NOUN
cana-4262	218	5	of	of	ADP
cana-4262	218	6	𝜺	𝜺	PROPN
cana-4262	218	7	(	(	PUNCT
cana-4262	218	8	velocity	velocity	NOUN
cana-4262	218	9	ratio	ratio	NOUN
cana-4262	218	10	parameter	parameter	NOUN
cana-4262	218	11	)	)	PUNCT
cana-4262	218	12	on	on	ADP
cana-4262	218	13	velocity	velocity	NOUN
cana-4262	218	14	profile	profile	NOUN
cana-4262	218	15	communications	communication	NOUN
cana-4262	218	16	on	on	ADP
cana-4262	218	17	applied	apply	VERB
cana-4262	218	18	nonlinear	nonlinear	ADJ
cana-4262	218	19	analysis	analysis	NOUN
cana-4262	218	20	issn	issn	NOUN
cana-4262	218	21	:	:	PUNCT
cana-4262	218	22	1074	1074	NUM
cana-4262	218	23	-	-	PUNCT
cana-4262	218	24	133x	133x	NUM
cana-4262	218	25	vol	vol	NOUN
cana-4262	218	26	32	32	NUM
cana-4262	218	27	no	no	NOUN
cana-4262	218	28	.	.	PUNCT
cana-4262	219	1	9s	9s	NUM
cana-4262	219	2	(	(	PUNCT
cana-4262	219	3	2025	2025	NUM
cana-4262	219	4	)	)	PUNCT
cana-4262	219	5	1665	1665	NUM
cana-4262	219	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	219	7	figure	figure	NOUN
cana-4262	219	8	14	14	NUM
cana-4262	219	9	explores	explore	NOUN
cana-4262	219	10	the	the	DET
cana-4262	219	11	impact	impact	NOUN
cana-4262	219	12	of	of	ADP
cana-4262	219	13	velocity	velocity	NOUN
cana-4262	219	14	ratio	ratio	NOUN
cana-4262	219	15	parameter	parameter	NOUN
cana-4262	219	16	on	on	ADP
cana-4262	219	17	velocity	velocity	NOUN
cana-4262	219	18	profile	profile	NOUN
cana-4262	219	19	,	,	PUNCT
cana-4262	219	20	the	the	DET
cana-4262	219	21	greater	great	ADJ
cana-4262	219	22	external	external	ADJ
cana-4262	219	23	velocity	velocity	NOUN
cana-4262	219	24	causes	cause	VERB
cana-4262	219	25	a	a	DET
cana-4262	219	26	faster	fast	ADJ
cana-4262	219	27	local	local	ADJ
cana-4262	219	28	heat	heat	NOUN
cana-4262	219	29	transfer	transfer	NOUN
cana-4262	219	30	,	,	PUNCT
cana-4262	219	31	which	which	PRON
cana-4262	219	32	lowers	lower	VERB
cana-4262	219	33	the	the	DET
cana-4262	219	34	fluid	fluid	NOUN
cana-4262	219	35	’s	’s	PART
cana-4262	219	36	temperature	temperature	NOUN
cana-4262	219	37	.	.	PUNCT
cana-4262	220	1	the	the	DET
cana-4262	220	2	velocity	velocity	NOUN
cana-4262	220	3	ratio	ratio	NOUN
cana-4262	220	4	parameter	parameter	PROPN
cana-4262	220	5	𝜺	𝜺	PROPN
cana-4262	220	6	significantly	significantly	ADV
cana-4262	220	7	affects	affect	VERB
cana-4262	220	8	the	the	DET
cana-4262	220	9	velocity	velocity	NOUN
cana-4262	220	10	profile	profile	NOUN
cana-4262	220	11	by	by	ADP
cana-4262	220	12	determining	determine	VERB
cana-4262	220	13	the	the	DET
cana-4262	220	14	relative	relative	ADJ
cana-4262	220	15	contributions	contribution	NOUN
cana-4262	220	16	of	of	ADP
cana-4262	220	17	thermal	thermal	ADJ
cana-4262	220	18	and	and	CCONJ
cana-4262	220	19	compositional	compositional	ADJ
cana-4262	220	20	buoyancy	buoyancy	NOUN
cana-4262	220	21	to	to	ADP
cana-4262	220	22	the	the	DET
cana-4262	220	23	flow	flow	NOUN
cana-4262	220	24	.	.	PUNCT
cana-4262	221	1	a	a	DET
cana-4262	221	2	high	high	ADJ
cana-4262	221	3	𝜺	𝜺	NOUN
cana-4262	221	4	(	(	PUNCT
cana-4262	221	5	thermal	thermal	ADJ
cana-4262	221	6	-	-	PUNCT
cana-4262	221	7	dominant	dominant	NOUN
cana-4262	221	8	)	)	PUNCT
cana-4262	221	9	leads	lead	VERB
cana-4262	221	10	to	to	ADP
cana-4262	221	11	a	a	DET
cana-4262	221	12	vertical	vertical	ADJ
cana-4262	221	13	,	,	PUNCT
cana-4262	221	14	temperature	temperature	NOUN
cana-4262	221	15	-	-	PUNCT
cana-4262	221	16	driven	drive	VERB
cana-4262	221	17	flow	flow	NOUN
cana-4262	221	18	,	,	PUNCT
cana-4262	221	19	while	while	SCONJ
cana-4262	221	20	a	a	DET
cana-4262	221	21	low	low	ADJ
cana-4262	221	22	𝜺	𝜺	NOUN
cana-4262	221	23	(	(	PUNCT
cana-4262	221	24	compositional	compositional	ADJ
cana-4262	221	25	-	-	PUNCT
cana-4262	221	26	dominant	dominant	NOUN
cana-4262	221	27	)	)	PUNCT
cana-4262	221	28	leads	lead	VERB
cana-4262	221	29	to	to	ADP
cana-4262	221	30	horizontal	horizontal	ADJ
cana-4262	221	31	flow	flow	NOUN
cana-4262	221	32	,	,	PUNCT
cana-4262	221	33	influenced	influence	VERB
cana-4262	221	34	by	by	ADP
cana-4262	221	35	concentration	concentration	NOUN
cana-4262	221	36	gradients	gradient	NOUN
cana-4262	221	37	.	.	PUNCT
cana-4262	222	1	figure	figure	NOUN
cana-4262	222	2	15	15	NUM
cana-4262	222	3	:	:	PUNCT
cana-4262	222	4	impact	impact	NOUN
cana-4262	222	5	of	of	ADP
cana-4262	222	6	𝜺	𝜺	PROPN
cana-4262	222	7	(	(	PUNCT
cana-4262	222	8	velocity	velocity	NOUN
cana-4262	222	9	ratio	ratio	NOUN
cana-4262	222	10	parameter	parameter	NOUN
cana-4262	222	11	)	)	PUNCT
cana-4262	222	12	on	on	ADP
cana-4262	222	13	temperature	temperature	NOUN
cana-4262	222	14	profile	profile	NOUN
cana-4262	222	15	figure	figure	VERB
cana-4262	222	16	15	15	NUM
cana-4262	222	17	illustrates	illustrate	VERB
cana-4262	222	18	how	how	SCONJ
cana-4262	222	19	θ(η	θ(η	X
cana-4262	222	20	)	)	PUNCT
cana-4262	222	21	decreases	decrease	VERB
cana-4262	222	22	significantly	significantly	ADV
cana-4262	222	23	as	as	SCONJ
cana-4262	222	24	ε	ε	PROPN
cana-4262	222	25	rises	rise	NOUN
cana-4262	222	26	,	,	PUNCT
cana-4262	222	27	increase	increase	VERB
cana-4262	222	28	in	in	ADP
cana-4262	222	29	a	a	DET
cana-4262	222	30	velocity	velocity	NOUN
cana-4262	222	31	ratio	ratio	NOUN
cana-4262	222	32	parameter	parameter	NOUN
cana-4262	222	33	cause	cause	VERB
cana-4262	222	34	the	the	DET
cana-4262	222	35	increase	increase	NOUN
cana-4262	222	36	in	in	ADP
cana-4262	222	37	local	local	ADJ
cana-4262	222	38	heat	heat	NOUN
cana-4262	222	39	transfer	transfer	NOUN
cana-4262	222	40	and	and	CCONJ
cana-4262	222	41	reduced	reduce	VERB
cana-4262	222	42	fluid	fluid	ADJ
cana-4262	222	43	temperature	temperature	NOUN
cana-4262	222	44	.	.	PUNCT
cana-4262	223	1	compares	compare	VERB
cana-4262	223	2	the	the	DET
cana-4262	223	3	effects	effect	NOUN
cana-4262	223	4	of	of	ADP
cana-4262	223	5	different	different	ADJ
cana-4262	223	6	components	component	NOUN
cana-4262	223	7	of	of	ADP
cana-4262	223	8	velocity	velocity	NOUN
cana-4262	223	9	in	in	ADP
cana-4262	223	10	a	a	DET
cana-4262	223	11	fluid	fluid	ADJ
cana-4262	223	12	flow	flow	NOUN
cana-4262	223	13	,	,	PUNCT
cana-4262	223	14	typically	typically	ADV
cana-4262	223	15	in	in	ADP
cana-4262	223	16	systems	system	NOUN
cana-4262	223	17	where	where	SCONJ
cana-4262	223	18	both	both	CCONJ
cana-4262	223	19	thermal	thermal	ADJ
cana-4262	223	20	and	and	CCONJ
cana-4262	223	21	compositional	compositional	ADJ
cana-4262	223	22	buoyancy	buoyancy	NOUN
cana-4262	223	23	forces	force	NOUN
cana-4262	223	24	are	be	AUX
cana-4262	223	25	present	present	ADJ
cana-4262	223	26	.	.	PUNCT
cana-4262	224	1	the	the	DET
cana-4262	224	2	parameter	parameter	NOUN
cana-4262	224	3	primarily	primarily	ADV
cana-4262	224	4	governs	govern	VERB
cana-4262	224	5	how	how	SCONJ
cana-4262	224	6	the	the	DET
cana-4262	224	7	velocities	velocity	NOUN
cana-4262	224	8	driven	drive	VERB
cana-4262	224	9	by	by	ADP
cana-4262	224	10	temperature	temperature	NOUN
cana-4262	224	11	differences	difference	NOUN
cana-4262	224	12	(	(	PUNCT
cana-4262	224	13	thermal	thermal	ADJ
cana-4262	224	14	buoyancy	buoyancy	NOUN
cana-4262	224	15	)	)	PUNCT
cana-4262	224	16	and	and	CCONJ
cana-4262	224	17	concentration	concentration	NOUN
cana-4262	224	18	differences	difference	NOUN
cana-4262	224	19	(	(	PUNCT
cana-4262	224	20	compositional	compositional	ADJ
cana-4262	224	21	buoyancy	buoyancy	NOUN
cana-4262	224	22	)	)	PUNCT
cana-4262	224	23	interact	interact	VERB
cana-4262	224	24	and	and	CCONJ
cana-4262	224	25	influence	influence	VERB
cana-4262	224	26	the	the	DET
cana-4262	224	27	flow	flow	NOUN
cana-4262	224	28	behavior	behavior	NOUN
cana-4262	224	29	.	.	PUNCT
cana-4262	225	1	when	when	SCONJ
cana-4262	225	2	considering	consider	VERB
cana-4262	225	3	the	the	DET
cana-4262	225	4	effect	effect	NOUN
cana-4262	225	5	of	of	ADP
cana-4262	225	6	the	the	DET
cana-4262	225	7	velocity	velocity	NOUN
cana-4262	225	8	ratio	ratio	NOUN
cana-4262	225	9	parameter	parameter	NOUN
cana-4262	225	10	on	on	ADP
cana-4262	225	11	the	the	DET
cana-4262	225	12	temperature	temperature	NOUN
cana-4262	225	13	profile	profile	NOUN
cana-4262	225	14	,	,	PUNCT
cana-4262	225	15	it	it	PRON
cana-4262	225	16	's	be	AUX
cana-4262	225	17	essential	essential	ADJ
cana-4262	225	18	to	to	PART
cana-4262	225	19	understand	understand	VERB
cana-4262	225	20	that	that	SCONJ
cana-4262	225	21	the	the	DET
cana-4262	225	22	temperature	temperature	NOUN
cana-4262	225	23	profile	profile	NOUN
cana-4262	225	24	is	be	AUX
cana-4262	225	25	influenced	influence	VERB
cana-4262	225	26	by	by	ADP
cana-4262	225	27	the	the	DET
cana-4262	225	28	velocity	velocity	NOUN
cana-4262	225	29	field	field	NOUN
cana-4262	225	30	,	,	PUNCT
cana-4262	225	31	which	which	PRON
cana-4262	225	32	in	in	ADP
cana-4262	225	33	turn	turn	NOUN
cana-4262	225	34	is	be	AUX
cana-4262	225	35	governed	govern	VERB
cana-4262	225	36	by	by	ADP
cana-4262	225	37	the	the	DET
cana-4262	225	38	relative	relative	ADJ
cana-4262	225	39	dominance	dominance	NOUN
cana-4262	225	40	of	of	ADP
cana-4262	225	41	thermal	thermal	ADJ
cana-4262	225	42	and	and	CCONJ
cana-4262	225	43	compositional	compositional	ADJ
cana-4262	225	44	buoyancy	buoyancy	NOUN
cana-4262	225	45	forces	force	NOUN
cana-4262	225	46	.	.	PUNCT
cana-4262	226	1	figure	figure	VERB
cana-4262	226	2	16	16	NUM
cana-4262	226	3	:	:	PUNCT
cana-4262	226	4	impact	impact	NOUN
cana-4262	226	5	of	of	ADP
cana-4262	226	6	𝜺	𝜺	PROPN
cana-4262	226	7	(	(	PUNCT
cana-4262	226	8	velocity	velocity	NOUN
cana-4262	226	9	ratio	ratio	NOUN
cana-4262	226	10	parameter	parameter	NOUN
cana-4262	226	11	)	)	PUNCT
cana-4262	226	12	on	on	ADP
cana-4262	226	13	concentration	concentration	NOUN
cana-4262	226	14	profile	profile	NOUN
cana-4262	226	15	communications	communication	NOUN
cana-4262	226	16	on	on	ADP
cana-4262	226	17	applied	apply	VERB
cana-4262	226	18	nonlinear	nonlinear	ADJ
cana-4262	226	19	analysis	analysis	NOUN
cana-4262	226	20	issn	issn	NOUN
cana-4262	226	21	:	:	PUNCT
cana-4262	226	22	1074	1074	NUM
cana-4262	226	23	-	-	PUNCT
cana-4262	226	24	133x	133x	NUM
cana-4262	226	25	vol	vol	NOUN
cana-4262	226	26	32	32	NUM
cana-4262	226	27	no	no	NOUN
cana-4262	226	28	.	.	PUNCT
cana-4262	227	1	9s	9s	NUM
cana-4262	227	2	(	(	PUNCT
cana-4262	227	3	2025	2025	NUM
cana-4262	227	4	)	)	PUNCT
cana-4262	227	5	1666	1666	NUM
cana-4262	227	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	227	7	figure	figure	NOUN
cana-4262	227	8	16	16	NUM
cana-4262	227	9	explores	explore	VERB
cana-4262	227	10	the	the	DET
cana-4262	227	11	impacts	impact	NOUN
cana-4262	227	12	of	of	ADP
cana-4262	227	13	the	the	DET
cana-4262	227	14	velocity	velocity	NOUN
cana-4262	227	15	ratio	ratio	NOUN
cana-4262	227	16	parameter	parameter	NOUN
cana-4262	227	17	on	on	ADP
cana-4262	227	18	the	the	DET
cana-4262	227	19	concentration	concentration	NOUN
cana-4262	227	20	profile	profile	NOUN
cana-4262	227	21	.	.	PUNCT
cana-4262	228	1	increase	increase	VERB
cana-4262	228	2	in	in	ADP
cana-4262	228	3	casson	casson	PROPN
cana-4262	228	4	fluid	fluid	NOUN
cana-4262	228	5	parameter	parameter	NOUN
cana-4262	228	6	decrease	decrease	NOUN
cana-4262	228	7	in	in	ADP
cana-4262	228	8	the	the	DET
cana-4262	228	9	concentration	concentration	NOUN
cana-4262	228	10	profile	profile	NOUN
cana-4262	228	11	.	.	PUNCT
cana-4262	229	1	an	an	DET
cana-4262	229	2	increase	increase	NOUN
cana-4262	229	3	in	in	ADP
cana-4262	229	4	heat	heat	NOUN
cana-4262	229	5	source	source	NOUN
cana-4262	229	6	retards	retard	VERB
cana-4262	229	7	the	the	DET
cana-4262	229	8	concentration	concentration	NOUN
cana-4262	229	9	profile	profile	NOUN
cana-4262	229	10	,	,	PUNCT
cana-4262	229	11	while	while	SCONJ
cana-4262	229	12	a	a	DET
cana-4262	229	13	sink	sink	NOUN
cana-4262	229	14	enhances	enhance	VERB
cana-4262	229	15	it	it	PRON
cana-4262	229	16	.	.	PUNCT
cana-4262	230	1	figure	figure	VERB
cana-4262	230	2	17	17	NUM
cana-4262	230	3	:	:	PUNCT
cana-4262	230	4	impact	impact	NOUN
cana-4262	230	5	of	of	ADP
cana-4262	230	6	𝜷𝟏(casson	𝜷𝟏(casson	NOUN
cana-4262	230	7	fluid	fluid	ADJ
cana-4262	230	8	parameter	parameter	NOUN
cana-4262	230	9	)	)	PUNCT
cana-4262	230	10	on	on	ADP
cana-4262	230	11	velocity	velocity	NOUN
cana-4262	230	12	profile	profile	NOUN
cana-4262	230	13	figure	figure	VERB
cana-4262	230	14	17	17	NUM
cana-4262	230	15	explores	explore	NOUN
cana-4262	230	16	the	the	DET
cana-4262	230	17	impacts	impact	NOUN
cana-4262	230	18	of	of	ADP
cana-4262	230	19	the	the	DET
cana-4262	230	20	casson	casson	PROPN
cana-4262	230	21	fluid	fluid	NOUN
cana-4262	230	22	parameter	parameter	NOUN
cana-4262	230	23	on	on	ADP
cana-4262	230	24	the	the	DET
cana-4262	230	25	velocity	velocity	NOUN
cana-4262	230	26	profile	profile	NOUN
cana-4262	230	27	.	.	PUNCT
cana-4262	231	1	increase	increase	VERB
cana-4262	231	2	in	in	ADP
cana-4262	231	3	casson	casson	PROPN
cana-4262	231	4	fluid	fluid	NOUN
cana-4262	231	5	parameter	parameter	NOUN
cana-4262	231	6	decrease	decrease	NOUN
cana-4262	231	7	in	in	ADP
cana-4262	231	8	the	the	DET
cana-4262	231	9	velocity	velocity	NOUN
cana-4262	231	10	profile	profile	NOUN
cana-4262	231	11	.	.	PUNCT
cana-4262	232	1	the	the	DET
cana-4262	232	2	casson	casson	PROPN
cana-4262	232	3	fluid	fluid	PROPN
cana-4262	232	4	parameter	parameter	NOUN
cana-4262	232	5	influences	influence	VERB
cana-4262	232	6	the	the	DET
cana-4262	232	7	velocity	velocity	NOUN
cana-4262	232	8	profile	profile	NOUN
cana-4262	232	9	by	by	ADP
cana-4262	232	10	modifying	modify	VERB
cana-4262	232	11	the	the	DET
cana-4262	232	12	fluid	fluid	NOUN
cana-4262	232	13	’s	’s	PART
cana-4262	232	14	resistance	resistance	NOUN
cana-4262	232	15	to	to	PART
cana-4262	232	16	flow	flow	VERB
cana-4262	232	17	.	.	PUNCT
cana-4262	233	1	a	a	DET
cana-4262	233	2	higher	high	ADJ
cana-4262	233	3	casson	casson	PROPN
cana-4262	233	4	parameter	parameter	NOUN
cana-4262	233	5	(	(	PUNCT
cana-4262	233	6	higher	high	ADJ
cana-4262	233	7	yield	yield	NOUN
cana-4262	233	8	stress	stress	NOUN
cana-4262	233	9	)	)	PUNCT
cana-4262	233	10	leads	lead	VERB
cana-4262	233	11	to	to	PART
cana-4262	233	12	steeper	steep	ADJ
cana-4262	233	13	velocity	velocity	NOUN
cana-4262	233	14	gradients	gradient	NOUN
cana-4262	233	15	near	near	ADP
cana-4262	233	16	the	the	DET
cana-4262	233	17	wall	wall	NOUN
cana-4262	233	18	and	and	CCONJ
cana-4262	233	19	delays	delay	VERB
cana-4262	233	20	the	the	DET
cana-4262	233	21	flow	flow	NOUN
cana-4262	233	22	in	in	ADP
cana-4262	233	23	the	the	DET
cana-4262	233	24	core	core	NOUN
cana-4262	233	25	,	,	PUNCT
cana-4262	233	26	whereas	whereas	SCONJ
cana-4262	233	27	a	a	DET
cana-4262	233	28	lower	low	ADJ
cana-4262	233	29	casson	casson	PROPN
cana-4262	233	30	parameter	parameter	NOUN
cana-4262	233	31	(	(	PUNCT
cana-4262	233	32	lower	low	ADJ
cana-4262	233	33	yield	yield	NOUN
cana-4262	233	34	stress	stress	NOUN
cana-4262	233	35	)	)	PUNCT
cana-4262	233	36	allows	allow	VERB
cana-4262	233	37	for	for	ADP
cana-4262	233	38	quicker	quick	ADJ
cana-4262	233	39	flow	flow	NOUN
cana-4262	233	40	initiation	initiation	NOUN
cana-4262	233	41	and	and	CCONJ
cana-4262	233	42	a	a	DET
cana-4262	233	43	more	more	ADV
cana-4262	233	44	uniform	uniform	ADJ
cana-4262	233	45	velocity	velocity	NOUN
cana-4262	233	46	profile	profile	NOUN
cana-4262	233	47	,	,	PUNCT
cana-4262	233	48	resembling	resemble	VERB
cana-4262	233	49	the	the	DET
cana-4262	233	50	behavior	behavior	NOUN
cana-4262	233	51	of	of	ADP
cana-4262	233	52	a	a	DET
cana-4262	233	53	newtonian	newtonian	ADJ
cana-4262	233	54	fluid	fluid	NOUN
cana-4262	233	55	.	.	PUNCT
cana-4262	234	1	figure	figure	NOUN
cana-4262	234	2	18	18	NUM
cana-4262	234	3	:	:	PUNCT
cana-4262	234	4	impact	impact	NOUN
cana-4262	234	5	of	of	ADP
cana-4262	234	6	𝝀	𝝀	PROPN
cana-4262	234	7	(	(	PUNCT
cana-4262	234	8	permeability	permeability	NOUN
cana-4262	234	9	parameter	parameter	NOUN
cana-4262	234	10	)	)	PUNCT
cana-4262	234	11	on	on	ADP
cana-4262	234	12	velocity	velocity	NOUN
cana-4262	234	13	profile	profile	NOUN
cana-4262	234	14	communications	communication	NOUN
cana-4262	234	15	on	on	ADP
cana-4262	234	16	applied	apply	VERB
cana-4262	234	17	nonlinear	nonlinear	ADJ
cana-4262	234	18	analysis	analysis	NOUN
cana-4262	234	19	issn	issn	NOUN
cana-4262	234	20	:	:	PUNCT
cana-4262	234	21	1074	1074	NUM
cana-4262	234	22	-	-	PUNCT
cana-4262	234	23	133x	133x	NUM
cana-4262	234	24	vol	vol	NOUN
cana-4262	234	25	32	32	NUM
cana-4262	234	26	no	no	NOUN
cana-4262	234	27	.	.	PUNCT
cana-4262	235	1	9s	9s	NUM
cana-4262	235	2	(	(	PUNCT
cana-4262	235	3	2025	2025	NUM
cana-4262	235	4	)	)	PUNCT
cana-4262	235	5	1667	1667	NUM
cana-4262	236	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	236	2	figure	figure	NOUN
cana-4262	236	3	18	18	NUM
cana-4262	236	4	illustrates	illustrate	VERB
cana-4262	236	5	a	a	DET
cana-4262	236	6	evident	evident	ADJ
cana-4262	236	7	falls	fall	NOUN
cana-4262	236	8	in	in	ADP
cana-4262	236	9	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-4262	236	10	)	)	PUNCT
cana-4262	236	11	,	,	PUNCT
cana-4262	236	12	when	when	SCONJ
cana-4262	236	13	λ	λ	PROPN
cana-4262	236	14	increases	increase	VERB
cana-4262	236	15	.	.	PUNCT
cana-4262	237	1	increasing	increase	VERB
cana-4262	237	2	λ	λ	PROPN
cana-4262	237	3	leads	lead	VERB
cana-4262	237	4	to	to	ADP
cana-4262	237	5	increased	increase	VERB
cana-4262	237	6	velocity	velocity	NOUN
cana-4262	237	7	.	.	PUNCT
cana-4262	238	1	λ	λ	NOUN
cana-4262	238	2	also	also	ADV
cana-4262	238	3	affects	affect	VERB
cana-4262	238	4	boundary	boundary	ADJ
cana-4262	238	5	layer	layer	NOUN
cana-4262	238	6	thickness	thickness	NOUN
cana-4262	238	7	,	,	PUNCT
cana-4262	238	8	with	with	ADP
cana-4262	238	9	higher	high	ADJ
cana-4262	238	10	λ	λ	PROPN
cana-4262	238	11	values	value	NOUN
cana-4262	238	12	resulting	result	VERB
cana-4262	238	13	in	in	ADP
cana-4262	238	14	thinner	thin	ADJ
cana-4262	238	15	boundary	boundary	ADJ
cana-4262	238	16	layers	layer	NOUN
cana-4262	238	17	.	.	PUNCT
cana-4262	239	1	λ	λ	NOUN
cana-4262	239	2	influences	influence	NOUN
cana-4262	239	3	flow	flow	NOUN
cana-4262	239	4	resistance	resistance	NOUN
cana-4262	239	5	,	,	PUNCT
cana-4262	239	6	with	with	ADP
cana-4262	239	7	higher	high	ADJ
cana-4262	239	8	λ	λ	PROPN
cana-4262	239	9	values	value	NOUN
cana-4262	239	10	reducing	reduce	VERB
cana-4262	239	11	resistance	resistance	NOUN
cana-4262	239	12	.	.	PUNCT
cana-4262	240	1	due	due	ADP
cana-4262	240	2	to	to	ADP
cana-4262	240	3	change	change	VERB
cana-4262	240	4	in	in	ADP
cana-4262	240	5	λ	λ	PROPN
cana-4262	240	6	,	,	PUNCT
cana-4262	240	7	velocity	velocity	NOUN
cana-4262	240	8	profile	profile	NOUN
cana-4262	240	9	shape	shape	NOUN
cana-4262	240	10	changes	change	NOUN
cana-4262	240	11	from	from	ADP
cana-4262	240	12	parabolic	parabolic	ADJ
cana-4262	240	13	(	(	PUNCT
cana-4262	240	14	low	low	PROPN
cana-4262	240	15	λ	λ	NOUN
cana-4262	240	16	)	)	PUNCT
cana-4262	240	17	to	to	ADP
cana-4262	240	18	more	more	ADJ
cana-4262	240	19	uniform	uniform	NOUN
cana-4262	240	20	(	(	PUNCT
cana-4262	240	21	high	high	ADJ
cana-4262	240	22	λ	λ	PROPN
cana-4262	240	23	)	)	PUNCT
cana-4262	240	24	.	.	PUNCT
cana-4262	241	1	figure	figure	VERB
cana-4262	241	2	19	19	NUM
cana-4262	241	3	:	:	PUNCT
cana-4262	241	4	impact	impact	NOUN
cana-4262	241	5	of	of	ADP
cana-4262	241	6	𝝀	𝝀	PROPN
cana-4262	241	7	(	(	PUNCT
cana-4262	241	8	permeability	permeability	NOUN
cana-4262	241	9	parameter	parameter	NOUN
cana-4262	241	10	)	)	PUNCT
cana-4262	241	11	on	on	ADP
cana-4262	241	12	temperature	temperature	NOUN
cana-4262	241	13	profile	profile	NOUN
cana-4262	241	14	figure	figure	NOUN
cana-4262	241	15	19	19	NUM
cana-4262	241	16	demonstrates	demonstrate	VERB
cana-4262	241	17	the	the	DET
cana-4262	241	18	impact	impact	NOUN
cana-4262	241	19	of	of	ADP
cana-4262	241	20	porous	porous	ADJ
cana-4262	241	21	media	medium	NOUN
cana-4262	241	22	on	on	ADP
cana-4262	241	23	thermal	thermal	ADJ
cana-4262	241	24	boundary	boundary	ADJ
cana-4262	241	25	layer	layer	NOUN
cana-4262	241	26	thickness	thickness	NOUN
cana-4262	241	27	and	and	CCONJ
cana-4262	241	28	temperature	temperature	NOUN
cana-4262	241	29	profile	profile	NOUN
cana-4262	241	30	θ(η	θ(η	PROPN
cana-4262	241	31	)	)	PUNCT
cana-4262	241	32	,	,	PUNCT
cana-4262	241	33	revealing	reveal	VERB
cana-4262	241	34	increased	increase	VERB
cana-4262	241	35	flow	flow	NOUN
cana-4262	241	36	resistance	resistance	NOUN
cana-4262	241	37	.	.	PUNCT
cana-4262	242	1	notably	notably	ADV
cana-4262	242	2	,	,	PUNCT
cana-4262	242	3	θ(η	θ(η	PROPN
cana-4262	242	4	)	)	PUNCT
cana-4262	242	5	increases	increase	NOUN
cana-4262	242	6	with	with	ADP
cana-4262	242	7	rising	rise	VERB
cana-4262	242	8	λ	λ	PROPN
cana-4262	242	9	values	value	NOUN
cana-4262	242	10	.	.	PUNCT
cana-4262	243	1	the	the	DET
cana-4262	243	2	permeability	permeability	NOUN
cana-4262	243	3	parameter	parameter	NOUN
cana-4262	243	4	significantly	significantly	ADV
cana-4262	243	5	influences	influence	VERB
cana-4262	243	6	the	the	DET
cana-4262	243	7	temperature	temperature	NOUN
cana-4262	243	8	profile	profile	NOUN
cana-4262	243	9	in	in	ADP
cana-4262	243	10	porous	porous	ADJ
cana-4262	243	11	media	medium	NOUN
cana-4262	243	12	.	.	PUNCT
cana-4262	244	1	higher	high	ADJ
cana-4262	244	2	permeability	permeability	NOUN
cana-4262	244	3	facilitates	facilitate	VERB
cana-4262	244	4	enhanced	enhance	VERB
cana-4262	244	5	fluid	fluid	ADJ
cana-4262	244	6	flow	flow	NOUN
cana-4262	244	7	,	,	PUNCT
cana-4262	244	8	resulting	result	VERB
cana-4262	244	9	in	in	ADP
cana-4262	244	10	improved	improve	VERB
cana-4262	244	11	convective	convective	ADJ
cana-4262	244	12	heat	heat	NOUN
cana-4262	244	13	transfer	transfer	NOUN
cana-4262	244	14	and	and	CCONJ
cana-4262	244	15	a	a	DET
cana-4262	244	16	more	more	ADV
cana-4262	244	17	uniform	uniform	ADJ
cana-4262	244	18	temperature	temperature	NOUN
cana-4262	244	19	distribution	distribution	NOUN
cana-4262	244	20	.	.	PUNCT
cana-4262	245	1	conversely	conversely	ADV
cana-4262	245	2	,	,	PUNCT
cana-4262	245	3	lower	low	ADJ
cana-4262	245	4	permeability	permeability	NOUN
cana-4262	245	5	hinders	hinder	VERB
cana-4262	245	6	fluid	fluid	ADJ
cana-4262	245	7	flow	flow	NOUN
cana-4262	245	8	,	,	PUNCT
cana-4262	245	9	leading	lead	VERB
cana-4262	245	10	to	to	ADP
cana-4262	245	11	larger	large	ADJ
cana-4262	245	12	temperature	temperature	NOUN
cana-4262	245	13	gradients	gradient	NOUN
cana-4262	245	14	,	,	PUNCT
cana-4262	245	15	reduced	reduce	VERB
cana-4262	245	16	heat	heat	NOUN
cana-4262	245	17	transport	transport	NOUN
cana-4262	245	18	efficiency	efficiency	NOUN
cana-4262	245	19	,	,	PUNCT
cana-4262	245	20	and	and	CCONJ
cana-4262	245	21	a	a	DET
cana-4262	245	22	dominance	dominance	NOUN
cana-4262	245	23	of	of	ADP
cana-4262	245	24	conduction	conduction	NOUN
cana-4262	245	25	in	in	ADP
cana-4262	245	26	the	the	DET
cana-4262	245	27	heat	heat	NOUN
cana-4262	245	28	transfer	transfer	NOUN
cana-4262	245	29	process	process	NOUN
cana-4262	245	30	.	.	PUNCT
cana-4262	246	1	figure	figure	NOUN
cana-4262	246	2	20	20	NUM
cana-4262	246	3	:	:	PUNCT
cana-4262	246	4	impact	impact	NOUN
cana-4262	246	5	of	of	ADP
cana-4262	246	6	𝝀	𝝀	PROPN
cana-4262	246	7	(	(	PUNCT
cana-4262	246	8	permeability	permeability	NOUN
cana-4262	246	9	parameter	parameter	NOUN
cana-4262	246	10	)	)	PUNCT
cana-4262	246	11	on	on	ADP
cana-4262	246	12	concentration	concentration	NOUN
cana-4262	246	13	profile	profile	NOUN
cana-4262	246	14	communications	communication	NOUN
cana-4262	246	15	on	on	ADP
cana-4262	246	16	applied	apply	VERB
cana-4262	246	17	nonlinear	nonlinear	ADJ
cana-4262	246	18	analysis	analysis	NOUN
cana-4262	246	19	issn	issn	NOUN
cana-4262	246	20	:	:	PUNCT
cana-4262	246	21	1074	1074	NUM
cana-4262	246	22	-	-	PUNCT
cana-4262	246	23	133x	133x	NUM
cana-4262	246	24	vol	vol	NOUN
cana-4262	246	25	32	32	NUM
cana-4262	246	26	no	no	NOUN
cana-4262	246	27	.	.	PUNCT
cana-4262	247	1	9s	9s	NUM
cana-4262	247	2	(	(	PUNCT
cana-4262	247	3	2025	2025	NUM
cana-4262	247	4	)	)	PUNCT
cana-4262	247	5	1668	1668	NUM
cana-4262	247	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	247	7	figure	figure	NOUN
cana-4262	247	8	20	20	NUM
cana-4262	247	9	demonstrates	demonstrate	VERB
cana-4262	247	10	the	the	DET
cana-4262	247	11	impact	impact	NOUN
cana-4262	247	12	of	of	ADP
cana-4262	247	13	permeability	permeability	NOUN
cana-4262	247	14	parameter	parameter	NOUN
cana-4262	247	15	λ	λ	PROPN
cana-4262	247	16	on	on	ADP
cana-4262	247	17	concentration	concentration	NOUN
cana-4262	247	18	profiles	profile	NOUN
cana-4262	247	19	,	,	PUNCT
cana-4262	247	20	revealing	reveal	VERB
cana-4262	247	21	an	an	DET
cana-4262	247	22	increase	increase	NOUN
cana-4262	247	23	in	in	ADP
cana-4262	247	24	φ(η	φ(η	NOUN
cana-4262	247	25	)	)	PUNCT
cana-4262	247	26	with	with	ADP
cana-4262	247	27	rising	rise	VERB
cana-4262	247	28	λ	λ	PROPN
cana-4262	247	29	values	value	NOUN
cana-4262	247	30	.	.	PUNCT
cana-4262	248	1	the	the	DET
cana-4262	248	2	permeability	permeability	NOUN
cana-4262	248	3	parameter	parameter	NOUN
cana-4262	248	4	strongly	strongly	ADV
cana-4262	248	5	influences	influence	VERB
cana-4262	248	6	the	the	DET
cana-4262	248	7	concentration	concentration	NOUN
cana-4262	248	8	profile	profile	NOUN
cana-4262	248	9	in	in	ADP
cana-4262	248	10	porous	porous	ADJ
cana-4262	248	11	media	medium	NOUN
cana-4262	248	12	.	.	PUNCT
cana-4262	249	1	high	high	ADJ
cana-4262	249	2	permeability	permeability	NOUN
cana-4262	249	3	leads	lead	VERB
cana-4262	249	4	to	to	ADP
cana-4262	249	5	faster	fast	ADJ
cana-4262	249	6	fluid	fluid	ADJ
cana-4262	249	7	flow	flow	NOUN
cana-4262	249	8	,	,	PUNCT
cana-4262	249	9	which	which	PRON
cana-4262	249	10	enhances	enhance	VERB
cana-4262	249	11	convective	convective	ADJ
cana-4262	249	12	transport	transport	NOUN
cana-4262	249	13	and	and	CCONJ
cana-4262	249	14	results	result	NOUN
cana-4262	249	15	in	in	ADP
cana-4262	249	16	a	a	DET
cana-4262	249	17	more	more	ADV
cana-4262	249	18	uniform	uniform	ADJ
cana-4262	249	19	concentration	concentration	NOUN
cana-4262	249	20	profile	profile	NOUN
cana-4262	249	21	.	.	PUNCT
cana-4262	250	1	in	in	ADP
cana-4262	250	2	contrast	contrast	NOUN
cana-4262	250	3	,	,	PUNCT
cana-4262	250	4	low	low	ADJ
cana-4262	250	5	permeability	permeability	NOUN
cana-4262	250	6	leads	lead	VERB
cana-4262	250	7	to	to	ADP
cana-4262	250	8	slower	slow	ADJ
cana-4262	250	9	flow	flow	NOUN
cana-4262	250	10	,	,	PUNCT
cana-4262	250	11	causing	cause	VERB
cana-4262	250	12	diffusion	diffusion	NOUN
cana-4262	250	13	to	to	PART
cana-4262	250	14	dominate	dominate	VERB
cana-4262	250	15	,	,	PUNCT
cana-4262	250	16	which	which	PRON
cana-4262	250	17	results	result	VERB
cana-4262	250	18	in	in	ADP
cana-4262	250	19	larger	large	ADJ
cana-4262	250	20	concentration	concentration	NOUN
cana-4262	250	21	gradients	gradient	NOUN
cana-4262	250	22	and	and	CCONJ
cana-4262	250	23	a	a	DET
cana-4262	250	24	more	more	ADV
cana-4262	250	25	stratified	stratified	ADJ
cana-4262	250	26	concentration	concentration	NOUN
cana-4262	250	27	profile	profile	NOUN
cana-4262	250	28	.	.	PUNCT
cana-4262	251	1	figure	figure	NOUN
cana-4262	251	2	21	21	NUM
cana-4262	251	3	:	:	PUNCT
cana-4262	251	4	impact	impact	NOUN
cana-4262	251	5	of	of	ADP
cana-4262	251	6	𝑭𝒓	𝑭𝒓	PROPN
cana-4262	251	7	(	(	PUNCT
cana-4262	251	8	forchheimer	forchheimer	ADJ
cana-4262	251	9	number	number	NOUN
cana-4262	251	10	)	)	PUNCT
cana-4262	251	11	on	on	ADP
cana-4262	251	12	velocity	velocity	NOUN
cana-4262	251	13	profile	profile	NOUN
cana-4262	251	14	the	the	DET
cana-4262	251	15	velocity	velocity	NOUN
cana-4262	251	16	profile	profile	NOUN
cana-4262	251	17	is	be	AUX
cana-4262	251	18	shown	show	VERB
cana-4262	251	19	in	in	ADP
cana-4262	251	20	figure	figure	NOUN
cana-4262	251	21	21	21	NUM
cana-4262	251	22	to	to	PART
cana-4262	251	23	be	be	AUX
cana-4262	251	24	decreasing	decrease	VERB
cana-4262	251	25	as	as	SCONJ
cana-4262	251	26	we	we	PRON
cana-4262	251	27	increase	increase	VERB
cana-4262	251	28	fr	fr	ADV
cana-4262	251	29	.	.	PUNCT
cana-4262	252	1	the	the	DET
cana-4262	252	2	decrease	decrease	NOUN
cana-4262	252	3	in	in	ADP
cana-4262	252	4	𝑓′(𝜂	𝑓′(𝜂	ADP
cana-4262	252	5	)	)	PUNCT
cana-4262	252	6	with	with	ADP
cana-4262	252	7	rising	rise	VERB
cana-4262	252	8	fr	fr	NOUN
cana-4262	252	9	is	be	AUX
cana-4262	252	10	due	due	ADJ
cana-4262	252	11	to	to	ADP
cana-4262	252	12	the	the	DET
cana-4262	252	13	inverse	inverse	NOUN
cana-4262	252	14	relationship	relationship	NOUN
cana-4262	252	15	between	between	ADP
cana-4262	252	16	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-4262	252	17	)	)	PUNCT
cana-4262	252	18	and	and	CCONJ
cana-4262	252	19	the	the	DET
cana-4262	252	20	permeability	permeability	NOUN
cana-4262	252	21	of	of	ADP
cana-4262	252	22	porous	porous	ADJ
cana-4262	252	23	media	medium	NOUN
cana-4262	252	24	,	,	PUNCT
cana-4262	252	25	which	which	PRON
cana-4262	252	26	provides	provide	VERB
cana-4262	252	27	resistance	resistance	NOUN
cana-4262	252	28	to	to	ADP
cana-4262	252	29	fluids	fluid	NOUN
cana-4262	252	30	and	and	CCONJ
cana-4262	252	31	therefore	therefore	ADV
cana-4262	252	32	slows	slow	VERB
cana-4262	252	33	their	their	PRON
cana-4262	252	34	motion	motion	NOUN
cana-4262	252	35	.	.	PUNCT
cana-4262	253	1	the	the	DET
cana-4262	253	2	thickness	thickness	NOUN
cana-4262	253	3	of	of	ADP
cana-4262	253	4	the	the	DET
cana-4262	253	5	boundary	boundary	ADJ
cana-4262	253	6	layers	layer	NOUN
cana-4262	253	7	also	also	ADV
cana-4262	253	8	shrunk	shrink	VERB
cana-4262	253	9	.	.	PUNCT
cana-4262	254	1	figure	figure	NOUN
cana-4262	254	2	22	22	NUM
cana-4262	254	3	:	:	PUNCT
cana-4262	254	4	impact	impact	NOUN
cana-4262	254	5	of	of	ADP
cana-4262	254	6	fr	fr	PROPN
cana-4262	254	7	(	(	PUNCT
cana-4262	254	8	forchheimer	forchheimer	ADJ
cana-4262	254	9	number	number	NOUN
cana-4262	254	10	)	)	PUNCT
cana-4262	254	11	on	on	ADP
cana-4262	254	12	temperature	temperature	NOUN
cana-4262	254	13	profile	profile	NOUN
cana-4262	254	14	communications	communication	NOUN
cana-4262	254	15	on	on	ADP
cana-4262	254	16	applied	apply	VERB
cana-4262	254	17	nonlinear	nonlinear	ADJ
cana-4262	254	18	analysis	analysis	NOUN
cana-4262	254	19	issn	issn	NOUN
cana-4262	254	20	:	:	PUNCT
cana-4262	254	21	1074	1074	NUM
cana-4262	254	22	-	-	PUNCT
cana-4262	254	23	133x	133x	NUM
cana-4262	254	24	vol	vol	NOUN
cana-4262	254	25	32	32	NUM
cana-4262	255	1	no	no	NOUN
cana-4262	255	2	.	.	PUNCT
cana-4262	256	1	9s	9s	NUM
cana-4262	256	2	(	(	PUNCT
cana-4262	256	3	2025	2025	NUM
cana-4262	256	4	)	)	PUNCT
cana-4262	256	5	1669	1669	NUM
cana-4262	256	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	256	7	figure	figure	NOUN
cana-4262	256	8	22	22	NUM
cana-4262	256	9	illustrates	illustrate	VERB
cana-4262	256	10	a	a	DET
cana-4262	256	11	positive	positive	ADJ
cana-4262	256	12	association	association	NOUN
cana-4262	256	13	between	between	ADP
cana-4262	256	14	the	the	DET
cana-4262	256	15	temperature	temperature	NOUN
cana-4262	256	16	profile	profile	NOUN
cana-4262	256	17	θ(η	θ(η	PROPN
cana-4262	256	18	)	)	PUNCT
cana-4262	256	19	and	and	CCONJ
cana-4262	256	20	the	the	DET
cana-4262	256	21	forchheimer	forchheimer	ADJ
cana-4262	256	22	number	number	NOUN
cana-4262	256	23	fr	fr	PROPN
cana-4262	256	24	,	,	PUNCT
cana-4262	256	25	indicating	indicate	VERB
cana-4262	256	26	a	a	DET
cana-4262	256	27	rise	rise	NOUN
cana-4262	256	28	in	in	ADP
cana-4262	256	29	θ(η	θ(η	PROPN
cana-4262	256	30	)	)	PUNCT
cana-4262	256	31	as	as	ADP
cana-4262	256	32	fr	fr	ADJ
cana-4262	256	33	increases	increase	NOUN
cana-4262	256	34	.	.	PUNCT
cana-4262	257	1	the	the	DET
cana-4262	257	2	forchheimer	forchheimer	ADJ
cana-4262	257	3	number	number	NOUN
cana-4262	257	4	significantly	significantly	ADV
cana-4262	257	5	influences	influence	VERB
cana-4262	257	6	the	the	DET
cana-4262	257	7	temperature	temperature	NOUN
cana-4262	257	8	profile	profile	NOUN
cana-4262	257	9	in	in	ADP
cana-4262	257	10	porous	porous	ADJ
cana-4262	257	11	media	medium	NOUN
cana-4262	257	12	.	.	PUNCT
cana-4262	258	1	in	in	ADP
cana-4262	258	2	the	the	DET
cana-4262	258	3	case	case	NOUN
cana-4262	258	4	of	of	ADP
cana-4262	258	5	low	low	ADJ
cana-4262	258	6	forchheimer	forchheimer	ADJ
cana-4262	258	7	numbers	number	NOUN
cana-4262	258	8	(	(	PUNCT
cana-4262	258	9	laminar	laminar	ADJ
cana-4262	258	10	flow	flow	NOUN
cana-4262	258	11	)	)	PUNCT
cana-4262	258	12	,	,	PUNCT
cana-4262	258	13	the	the	DET
cana-4262	258	14	temperature	temperature	NOUN
cana-4262	258	15	profile	profile	NOUN
cana-4262	258	16	is	be	AUX
cana-4262	258	17	more	more	ADV
cana-4262	258	18	gradual	gradual	ADJ
cana-4262	258	19	with	with	ADP
cana-4262	258	20	larger	large	ADJ
cana-4262	258	21	temperature	temperature	NOUN
cana-4262	258	22	gradients	gradient	NOUN
cana-4262	258	23	.	.	PUNCT
cana-4262	259	1	as	as	SCONJ
cana-4262	259	2	the	the	DET
cana-4262	259	3	forchheimer	forchheimer	ADJ
cana-4262	259	4	number	number	NOUN
cana-4262	259	5	increases	increase	VERB
cana-4262	259	6	,	,	PUNCT
cana-4262	259	7	the	the	DET
cana-4262	259	8	flow	flow	NOUN
cana-4262	259	9	transitions	transition	NOUN
cana-4262	259	10	to	to	ADP
cana-4262	259	11	turbulent	turbulent	ADJ
cana-4262	259	12	conditions	condition	NOUN
cana-4262	259	13	,	,	PUNCT
cana-4262	259	14	resulting	result	VERB
cana-4262	259	15	in	in	ADP
cana-4262	259	16	a	a	DET
cana-4262	259	17	more	more	ADV
cana-4262	259	18	uniform	uniform	ADJ
cana-4262	259	19	temperature	temperature	NOUN
cana-4262	259	20	distribution	distribution	NOUN
cana-4262	259	21	with	with	ADP
cana-4262	259	22	smaller	small	ADJ
cana-4262	259	23	temperature	temperature	NOUN
cana-4262	259	24	gradients	gradient	NOUN
cana-4262	259	25	due	due	ADJ
cana-4262	259	26	to	to	ADP
cana-4262	259	27	enhanced	enhance	VERB
cana-4262	259	28	convective	convective	ADJ
cana-4262	259	29	heat	heat	NOUN
cana-4262	259	30	transfer	transfer	NOUN
cana-4262	259	31	.	.	PUNCT
cana-4262	260	1	figure	figure	NOUN
cana-4262	260	2	23	23	NUM
cana-4262	260	3	:	:	PUNCT
cana-4262	260	4	impact	impact	NOUN
cana-4262	260	5	of	of	ADP
cana-4262	260	6	fr	fr	PROPN
cana-4262	260	7	(	(	PUNCT
cana-4262	260	8	forchheimer	forchheimer	ADJ
cana-4262	260	9	number	number	NOUN
cana-4262	260	10	)	)	PUNCT
cana-4262	260	11	on	on	ADP
cana-4262	260	12	concentration	concentration	NOUN
cana-4262	260	13	profile	profile	NOUN
cana-4262	260	14	figure	figure	NOUN
cana-4262	260	15	23	23	NUM
cana-4262	260	16	demonstrates	demonstrate	VERB
cana-4262	260	17	that	that	SCONJ
cana-4262	260	18	the	the	DET
cana-4262	260	19	volume	volume	NOUN
cana-4262	260	20	fraction	fraction	NOUN
cana-4262	260	21	profile	profile	NOUN
cana-4262	260	22	increases	increase	VERB
cana-4262	260	23	monotonically	monotonically	ADV
cana-4262	260	24	with	with	ADP
cana-4262	260	25	forchheimer	forchheimer	ADJ
cana-4262	260	26	number	number	NOUN
cana-4262	260	27	(	(	PUNCT
cana-4262	260	28	fr	fr	PROPN
cana-4262	260	29	)	)	PUNCT
cana-4262	260	30	,	,	PUNCT
cana-4262	260	31	indicating	indicate	VERB
cana-4262	260	32	nanoparticle	nanoparticle	NOUN
cana-4262	260	33	migration	migration	NOUN
cana-4262	260	34	away	away	ADV
cana-4262	260	35	from	from	ADP
cana-4262	260	36	the	the	DET
cana-4262	260	37	surface	surface	NOUN
cana-4262	260	38	.	.	PUNCT
cana-4262	261	1	the	the	DET
cana-4262	261	2	concentration	concentration	NOUN
cana-4262	261	3	profile	profile	NOUN
cana-4262	261	4	in	in	ADP
cana-4262	261	5	porous	porous	ADJ
cana-4262	261	6	media	medium	NOUN
cana-4262	261	7	is	be	AUX
cana-4262	261	8	strongly	strongly	ADV
cana-4262	261	9	dependent	dependent	ADJ
cana-4262	261	10	on	on	ADP
cana-4262	261	11	the	the	DET
cana-4262	261	12	forchheimer	forchheimer	ADJ
cana-4262	261	13	number	number	NOUN
cana-4262	261	14	.	.	PUNCT
cana-4262	262	1	for	for	ADP
cana-4262	262	2	low	low	ADJ
cana-4262	262	3	forchheimer	forchheimer	ADJ
cana-4262	262	4	numbers	number	NOUN
cana-4262	262	5	,	,	PUNCT
cana-4262	262	6	where	where	SCONJ
cana-4262	262	7	the	the	DET
cana-4262	262	8	flow	flow	NOUN
cana-4262	262	9	is	be	AUX
cana-4262	262	10	laminar	laminar	ADJ
cana-4262	262	11	,	,	PUNCT
cana-4262	262	12	the	the	DET
cana-4262	262	13	concentration	concentration	NOUN
cana-4262	262	14	profile	profile	NOUN
cana-4262	262	15	is	be	AUX
cana-4262	262	16	characterized	characterize	VERB
cana-4262	262	17	by	by	ADP
cana-4262	262	18	larger	large	ADJ
cana-4262	262	19	concentration	concentration	NOUN
cana-4262	262	20	gradients	gradient	NOUN
cana-4262	262	21	and	and	CCONJ
cana-4262	262	22	thicker	thick	ADJ
cana-4262	262	23	boundary	boundary	ADJ
cana-4262	262	24	layers	layer	NOUN
cana-4262	262	25	due	due	ADP
cana-4262	262	26	to	to	ADP
cana-4262	262	27	slower	slow	ADJ
cana-4262	262	28	solute	solute	NOUN
cana-4262	262	29	transport	transport	NOUN
cana-4262	262	30	.	.	PUNCT
cana-4262	263	1	as	as	SCONJ
cana-4262	263	2	the	the	DET
cana-4262	263	3	forchheimer	forchheimer	ADJ
cana-4262	263	4	number	number	NOUN
cana-4262	263	5	increases	increase	VERB
cana-4262	263	6	and	and	CCONJ
cana-4262	263	7	the	the	DET
cana-4262	263	8	flow	flow	NOUN
cana-4262	263	9	transitions	transition	NOUN
cana-4262	263	10	to	to	ADP
cana-4262	263	11	turbulent	turbulent	ADJ
cana-4262	263	12	or	or	CCONJ
cana-4262	263	13	non	non	ADJ
cana-4262	263	14	-	-	ADJ
cana-4262	263	15	darcy	darcy	ADJ
cana-4262	263	16	flow	flow	NOUN
cana-4262	263	17	,	,	PUNCT
cana-4262	263	18	the	the	DET
cana-4262	263	19	concentration	concentration	NOUN
cana-4262	263	20	profile	profile	NOUN
cana-4262	263	21	becomes	become	VERB
cana-4262	263	22	more	more	ADV
cana-4262	263	23	uniform	uniform	ADJ
cana-4262	263	24	,	,	PUNCT
cana-4262	263	25	with	with	ADP
cana-4262	263	26	smaller	small	ADJ
cana-4262	263	27	concentration	concentration	NOUN
cana-4262	263	28	gradients	gradient	NOUN
cana-4262	263	29	and	and	CCONJ
cana-4262	263	30	thinner	thin	ADJ
cana-4262	263	31	boundary	boundary	ADJ
cana-4262	263	32	layers	layer	NOUN
cana-4262	263	33	due	due	ADJ
cana-4262	263	34	to	to	ADP
cana-4262	263	35	enhanced	enhance	VERB
cana-4262	263	36	convective	convective	ADJ
cana-4262	263	37	mixing	mixing	NOUN
cana-4262	263	38	.	.	PUNCT
cana-4262	264	1	figure	figure	NOUN
cana-4262	264	2	24	24	NUM
cana-4262	264	3	:	:	PUNCT
cana-4262	264	4	impact	impact	NOUN
cana-4262	264	5	of	of	ADP
cana-4262	264	6	𝑵𝒄	𝑵𝒄	PROPN
cana-4262	264	7	on	on	ADP
cana-4262	264	8	temperature	temperature	NOUN
cana-4262	264	9	profile	profile	NOUN
cana-4262	264	10	communications	communication	NOUN
cana-4262	264	11	on	on	ADP
cana-4262	264	12	applied	apply	VERB
cana-4262	264	13	nonlinear	nonlinear	ADJ
cana-4262	264	14	analysis	analysis	NOUN
cana-4262	264	15	issn	issn	NOUN
cana-4262	264	16	:	:	PUNCT
cana-4262	264	17	1074	1074	NUM
cana-4262	264	18	-	-	PUNCT
cana-4262	264	19	133x	133x	NUM
cana-4262	264	20	vol	vol	NOUN
cana-4262	264	21	32	32	NUM
cana-4262	265	1	no	no	NOUN
cana-4262	265	2	.	.	PUNCT
cana-4262	266	1	9s	9s	NUM
cana-4262	266	2	(	(	PUNCT
cana-4262	266	3	2025	2025	NUM
cana-4262	266	4	)	)	PUNCT
cana-4262	266	5	1670	1670	NUM
cana-4262	266	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	266	7	figure	figure	NOUN
cana-4262	266	8	24	24	NUM
cana-4262	266	9	illustrates	illustrate	VERB
cana-4262	266	10	the	the	DET
cana-4262	266	11	positive	positive	ADJ
cana-4262	266	12	correlation	correlation	NOUN
cana-4262	266	13	between	between	ADP
cana-4262	266	14	θ(η	θ(η	PROPN
cana-4262	266	15	)	)	PUNCT
cana-4262	266	16	and	and	CCONJ
cana-4262	266	17	nc	nc	PROPN
cana-4262	266	18	,	,	PUNCT
cana-4262	266	19	highlighting	highlight	VERB
cana-4262	266	20	the	the	DET
cana-4262	266	21	significant	significant	ADJ
cana-4262	266	22	role	role	NOUN
cana-4262	266	23	of	of	ADP
cana-4262	266	24	nanoparticle	nanoparticle	NOUN
cana-4262	266	25	concentration	concentration	NOUN
cana-4262	266	26	in	in	ADP
cana-4262	266	27	heat	heat	NOUN
cana-4262	266	28	transfer	transfer	NOUN
cana-4262	266	29	enhancement	enhancement	NOUN
cana-4262	266	30	.	.	PUNCT
cana-4262	267	1	variations	variation	NOUN
cana-4262	267	2	in	in	ADP
cana-4262	267	3	the	the	DET
cana-4262	267	4	concentration	concentration	NOUN
cana-4262	267	5	parameter	parameter	NOUN
cana-4262	267	6	can	can	AUX
cana-4262	267	7	substantially	substantially	ADV
cana-4262	267	8	alter	alter	VERB
cana-4262	267	9	the	the	DET
cana-4262	267	10	temperature	temperature	NOUN
cana-4262	267	11	profile	profile	NOUN
cana-4262	267	12	of	of	ADP
cana-4262	267	13	fluids	fluid	NOUN
cana-4262	267	14	.	.	PUNCT
cana-4262	268	1	the	the	DET
cana-4262	268	2	interaction	interaction	NOUN
cana-4262	268	3	between	between	ADP
cana-4262	268	4	solute	solute	NOUN
cana-4262	268	5	concentration	concentration	NOUN
cana-4262	268	6	and	and	CCONJ
cana-4262	268	7	fluid	fluid	NOUN
cana-4262	268	8	dynamics	dynamic	NOUN
cana-4262	268	9	,	,	PUNCT
cana-4262	268	10	along	along	ADP
cana-4262	268	11	with	with	ADP
cana-4262	268	12	its	its	PRON
cana-4262	268	13	impact	impact	NOUN
cana-4262	268	14	on	on	ADP
cana-4262	268	15	heat	heat	NOUN
cana-4262	268	16	transfer	transfer	NOUN
cana-4262	268	17	mechanisms	mechanism	NOUN
cana-4262	268	18	(	(	PUNCT
cana-4262	268	19	such	such	ADJ
cana-4262	268	20	as	as	ADP
cana-4262	268	21	convection	convection	NOUN
cana-4262	268	22	,	,	PUNCT
cana-4262	268	23	diffusion	diffusion	NOUN
cana-4262	268	24	,	,	PUNCT
cana-4262	268	25	and	and	CCONJ
cana-4262	268	26	reaction	reaction	NOUN
cana-4262	268	27	heat	heat	NOUN
cana-4262	268	28	)	)	PUNCT
cana-4262	268	29	,	,	PUNCT
cana-4262	268	30	can	can	AUX
cana-4262	268	31	lead	lead	VERB
cana-4262	268	32	to	to	ADP
cana-4262	268	33	changes	change	NOUN
cana-4262	268	34	in	in	ADP
cana-4262	268	35	the	the	DET
cana-4262	268	36	uniformity	uniformity	NOUN
cana-4262	268	37	,	,	PUNCT
cana-4262	268	38	steepness	steepness	NOUN
cana-4262	268	39	,	,	PUNCT
cana-4262	268	40	and	and	CCONJ
cana-4262	268	41	boundary	boundary	ADJ
cana-4262	268	42	layer	layer	NOUN
cana-4262	268	43	characteristics	characteristic	NOUN
cana-4262	268	44	of	of	ADP
cana-4262	268	45	the	the	DET
cana-4262	268	46	temperature	temperature	NOUN
cana-4262	268	47	profile	profile	NOUN
cana-4262	268	48	.	.	PUNCT
cana-4262	269	1	depending	depend	VERB
cana-4262	269	2	on	on	ADP
cana-4262	269	3	the	the	DET
cana-4262	269	4	context	context	NOUN
cana-4262	269	5	,	,	PUNCT
cana-4262	269	6	these	these	DET
cana-4262	269	7	effects	effect	NOUN
cana-4262	269	8	can	can	AUX
cana-4262	269	9	either	either	CCONJ
cana-4262	269	10	enhance	enhance	VERB
cana-4262	269	11	or	or	CCONJ
cana-4262	269	12	reduce	reduce	VERB
cana-4262	269	13	the	the	DET
cana-4262	269	14	temperature	temperature	NOUN
cana-4262	269	15	gradients	gradient	NOUN
cana-4262	269	16	and	and	CCONJ
cana-4262	269	17	influence	influence	NOUN
cana-4262	269	18	heat	heat	NOUN
cana-4262	269	19	distribution	distribution	NOUN
cana-4262	269	20	within	within	ADP
cana-4262	269	21	the	the	DET
cana-4262	269	22	system	system	NOUN
cana-4262	269	23	.	.	PUNCT
cana-4262	270	1	figure	figure	VERB
cana-4262	270	2	25	25	NUM
cana-4262	270	3	:	:	PUNCT
cana-4262	270	4	impact	impact	NOUN
cana-4262	270	5	of	of	ADP
cana-4262	270	6	𝑷𝒓	𝑷𝒓	PROPN
cana-4262	270	7	on	on	ADP
cana-4262	270	8	temperature	temperature	NOUN
cana-4262	270	9	profile	profile	NOUN
cana-4262	270	10	figure	figure	NOUN
cana-4262	270	11	25	25	NUM
cana-4262	270	12	demonstrates	demonstrate	VERB
cana-4262	270	13	how	how	SCONJ
cana-4262	270	14	quickly	quickly	ADV
cana-4262	270	15	heat	heat	VERB
cana-4262	270	16	diffuses	diffuse	NOUN
cana-4262	270	17	when	when	SCONJ
cana-4262	270	18	pr	pr	VERB
cana-4262	270	19	>	>	X
cana-4262	270	20	1	1	X
cana-4262	270	21	.	.	PUNCT
cana-4262	271	1	this	this	PRON
cana-4262	271	2	is	be	AUX
cana-4262	271	3	because	because	SCONJ
cana-4262	271	4	a	a	DET
cana-4262	271	5	lower	low	ADJ
cana-4262	271	6	thermal	thermal	ADJ
cana-4262	271	7	diffusivity	diffusivity	NOUN
cana-4262	271	8	,	,	PUNCT
cana-4262	271	9	which	which	PRON
cana-4262	271	10	is	be	AUX
cana-4262	271	11	indicated	indicate	VERB
cana-4262	271	12	by	by	ADP
cana-4262	271	13	a	a	DET
cana-4262	271	14	greater	great	ADJ
cana-4262	271	15	prandtl	prandtl	NOUN
cana-4262	271	16	number	number	NOUN
cana-4262	271	17	,	,	PUNCT
cana-4262	271	18	leads	lead	VERB
cana-4262	271	19	to	to	ADP
cana-4262	271	20	a	a	DET
cana-4262	271	21	drop	drop	NOUN
cana-4262	271	22	in	in	ADP
cana-4262	271	23	the	the	DET
cana-4262	271	24	thermal	thermal	ADJ
cana-4262	271	25	boundary	boundary	ADJ
cana-4262	271	26	layer	layer	NOUN
cana-4262	271	27	.	.	PUNCT
cana-4262	272	1	the	the	DET
cana-4262	272	2	prandtl	prandtl	NOUN
cana-4262	272	3	number	number	NOUN
cana-4262	272	4	plays	play	VERB
cana-4262	272	5	a	a	DET
cana-4262	272	6	crucial	crucial	ADJ
cana-4262	272	7	role	role	NOUN
cana-4262	272	8	in	in	ADP
cana-4262	272	9	determining	determine	VERB
cana-4262	272	10	the	the	DET
cana-4262	272	11	temperature	temperature	NOUN
cana-4262	272	12	profile	profile	NOUN
cana-4262	272	13	in	in	ADP
cana-4262	272	14	fluid	fluid	ADJ
cana-4262	272	15	flow	flow	NOUN
cana-4262	272	16	systems	system	NOUN
cana-4262	272	17	a	a	DET
cana-4262	272	18	low	low	ADJ
cana-4262	272	19	prandtl	prandtl	NOUN
cana-4262	272	20	number	number	NOUN
cana-4262	272	21	results	result	NOUN
cana-4262	272	22	in	in	ADP
cana-4262	272	23	rapid	rapid	ADJ
cana-4262	272	24	heat	heat	NOUN
cana-4262	272	25	diffusion	diffusion	NOUN
cana-4262	272	26	,	,	PUNCT
cana-4262	272	27	a	a	DET
cana-4262	272	28	reduced	reduced	ADJ
cana-4262	272	29	thermal	thermal	ADJ
cana-4262	272	30	boundary	boundary	ADJ
cana-4262	272	31	layer	layer	NOUN
cana-4262	272	32	,	,	PUNCT
cana-4262	272	33	and	and	CCONJ
cana-4262	272	34	a	a	DET
cana-4262	272	35	more	more	ADV
cana-4262	272	36	uniform	uniform	ADJ
cana-4262	272	37	temperature	temperature	NOUN
cana-4262	272	38	profile	profile	NOUN
cana-4262	272	39	.	.	PUNCT
cana-4262	273	1	high	high	ADJ
cana-4262	273	2	prandtl	prandtl	NOUN
cana-4262	273	3	numbers	number	NOUN
cana-4262	273	4	lead	lead	VERB
cana-4262	273	5	to	to	ADP
cana-4262	273	6	a	a	DET
cana-4262	273	7	thicker	thick	ADJ
cana-4262	273	8	thermal	thermal	ADJ
cana-4262	273	9	boundary	boundary	ADJ
cana-4262	273	10	layer	layer	NOUN
cana-4262	273	11	,	,	PUNCT
cana-4262	273	12	slower	slow	ADJ
cana-4262	273	13	heat	heat	NOUN
cana-4262	273	14	diffusion	diffusion	NOUN
cana-4262	273	15	,	,	PUNCT
cana-4262	273	16	and	and	CCONJ
cana-4262	273	17	steeper	steep	ADJ
cana-4262	273	18	temperature	temperature	NOUN
cana-4262	273	19	gradients	gradient	NOUN
cana-4262	273	20	near	near	ADP
cana-4262	273	21	heat	heat	NOUN
cana-4262	273	22	sources	source	NOUN
cana-4262	273	23	.	.	PUNCT
cana-4262	274	1	for	for	ADP
cana-4262	274	2	pr	pr	NOUN
cana-4262	274	3	≈	≈	PROPN
cana-4262	274	4	1	1	NUM
cana-4262	274	5	,	,	PUNCT
cana-4262	274	6	the	the	DET
cana-4262	274	7	fluid	fluid	NOUN
cana-4262	274	8	will	will	AUX
cana-4262	274	9	exhibit	exhibit	VERB
cana-4262	274	10	a	a	DET
cana-4262	274	11	moderate	moderate	ADJ
cana-4262	274	12	temperature	temperature	NOUN
cana-4262	274	13	profile	profile	NOUN
cana-4262	274	14	with	with	ADP
cana-4262	274	15	a	a	DET
cana-4262	274	16	balance	balance	NOUN
cana-4262	274	17	between	between	ADP
cana-4262	274	18	the	the	DET
cana-4262	274	19	momentum	momentum	NOUN
cana-4262	274	20	and	and	CCONJ
cana-4262	274	21	thermal	thermal	ADJ
cana-4262	274	22	diffusion	diffusion	NOUN
cana-4262	274	23	rates	rate	NOUN
cana-4262	274	24	.	.	PUNCT
cana-4262	275	1	understanding	understand	VERB
cana-4262	275	2	the	the	DET
cana-4262	275	3	prandtl	prandtl	NOUN
cana-4262	275	4	number	number	NOUN
cana-4262	275	5	is	be	AUX
cana-4262	275	6	important	important	ADJ
cana-4262	275	7	for	for	ADP
cana-4262	275	8	predicting	predict	VERB
cana-4262	275	9	how	how	SCONJ
cana-4262	275	10	heat	heat	NOUN
cana-4262	275	11	will	will	AUX
cana-4262	275	12	distribute	distribute	VERB
cana-4262	275	13	in	in	ADP
cana-4262	275	14	a	a	DET
cana-4262	275	15	system	system	NOUN
cana-4262	275	16	,	,	PUNCT
cana-4262	275	17	especially	especially	ADV
cana-4262	275	18	in	in	ADP
cana-4262	275	19	engineering	engineering	NOUN
cana-4262	275	20	applications	application	NOUN
cana-4262	275	21	like	like	ADP
cana-4262	275	22	heat	heat	NOUN
cana-4262	275	23	exchangers	exchanger	NOUN
cana-4262	275	24	,	,	PUNCT
cana-4262	275	25	cooling	cool	VERB
cana-4262	275	26	systems	system	NOUN
cana-4262	275	27	,	,	PUNCT
cana-4262	275	28	and	and	CCONJ
cana-4262	275	29	fluid	fluid	ADJ
cana-4262	275	30	flow	flow	NOUN
cana-4262	275	31	over	over	ADP
cana-4262	275	32	surfaces	surface	NOUN
cana-4262	275	33	.	.	PUNCT
cana-4262	276	1	figure	figure	VERB
cana-4262	276	2	26	26	NUM
cana-4262	276	3	:	:	PUNCT
cana-4262	276	4	impact	impact	NOUN
cana-4262	276	5	of	of	ADP
cana-4262	276	6	𝑳𝒆	𝑳𝒆	PROPN
cana-4262	276	7	(	(	PUNCT
cana-4262	276	8	lewis	lewis	PROPN
cana-4262	276	9	number	number	PROPN
cana-4262	276	10	)	)	PUNCT
cana-4262	276	11	on	on	ADP
cana-4262	276	12	temperature	temperature	NOUN
cana-4262	276	13	profile	profile	NOUN
cana-4262	276	14	communications	communication	NOUN
cana-4262	276	15	on	on	ADP
cana-4262	276	16	applied	apply	VERB
cana-4262	276	17	nonlinear	nonlinear	ADJ
cana-4262	276	18	analysis	analysis	NOUN
cana-4262	276	19	issn	issn	NOUN
cana-4262	276	20	:	:	PUNCT
cana-4262	276	21	1074	1074	NUM
cana-4262	276	22	-	-	PUNCT
cana-4262	276	23	133x	133x	NUM
cana-4262	276	24	vol	vol	NOUN
cana-4262	276	25	32	32	NUM
cana-4262	276	26	no	no	NOUN
cana-4262	276	27	.	.	PUNCT
cana-4262	277	1	9s	9s	NUM
cana-4262	277	2	(	(	PUNCT
cana-4262	277	3	2025	2025	NUM
cana-4262	277	4	)	)	PUNCT
cana-4262	277	5	1671	1671	NUM
cana-4262	278	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	278	2	figure	figure	NOUN
cana-4262	278	3	26	26	NUM
cana-4262	278	4	illustrates	illustrate	VERB
cana-4262	278	5	the	the	DET
cana-4262	278	6	inverse	inverse	NOUN
cana-4262	278	7	relationship	relationship	NOUN
cana-4262	278	8	between	between	ADP
cana-4262	278	9	θ(η	θ(η	PROPN
cana-4262	278	10	)	)	PUNCT
cana-4262	278	11	and	and	CCONJ
cana-4262	278	12	lewis	lewis	PROPN
cana-4262	278	13	number	number	NOUN
cana-4262	278	14	(	(	PUNCT
cana-4262	278	15	le	le	X
cana-4262	278	16	)	)	PUNCT
cana-4262	278	17	,	,	PUNCT
cana-4262	278	18	demonstrating	demonstrate	VERB
cana-4262	278	19	that	that	SCONJ
cana-4262	278	20	temperature	temperature	NOUN
cana-4262	278	21	profile	profile	NOUN
cana-4262	278	22	decreases	decrease	VERB
cana-4262	278	23	as	as	ADP
cana-4262	278	24	le	le	ADP
cana-4262	278	25	increases	increase	NOUN
cana-4262	278	26	.	.	PUNCT
cana-4262	279	1	and	and	CCONJ
cana-4262	279	2	that	that	SCONJ
cana-4262	279	3	a	a	DET
cana-4262	279	4	greater	great	ADJ
cana-4262	279	5	thermal	thermal	ADJ
cana-4262	279	6	diffusivity	diffusivity	NOUN
cana-4262	279	7	is	be	AUX
cana-4262	279	8	related	relate	VERB
cana-4262	279	9	to	to	ADP
cana-4262	279	10	a	a	DET
cana-4262	279	11	greater	great	ADJ
cana-4262	279	12	lewis	lewis	NOUN
cana-4262	279	13	number	number	NOUN
cana-4262	279	14	(	(	PUNCT
cana-4262	279	15	le	le	NOUN
cana-4262	279	16	)	)	PUNCT
cana-4262	279	17	.	.	PUNCT
cana-4262	280	1	figure	figure	VERB
cana-4262	280	2	27	27	NUM
cana-4262	280	3	:	:	PUNCT
cana-4262	280	4	impact	impact	NOUN
cana-4262	280	5	of	of	ADP
cana-4262	280	6	𝑵𝒃𝒕	𝑵𝒃𝒕	PROPN
cana-4262	280	7	(	(	PUNCT
cana-4262	280	8	(	(	PUNCT
cana-4262	280	9	diffusivity	diffusivity	NOUN
cana-4262	280	10	parameter	parameter	NOUN
cana-4262	280	11	)	)	PUNCT
cana-4262	280	12	on	on	ADP
cana-4262	280	13	temperature	temperature	NOUN
cana-4262	280	14	profile	profile	NOUN
cana-4262	280	15	figure	figure	VERB
cana-4262	280	16	27	27	NUM
cana-4262	280	17	illustrates	illustrate	VERB
cana-4262	280	18	the	the	DET
cana-4262	280	19	decrease	decrease	NOUN
cana-4262	280	20	in	in	ADP
cana-4262	280	21	temperature	temperature	NOUN
cana-4262	280	22	profile	profile	NOUN
cana-4262	280	23	θ(η	θ(η	PROPN
cana-4262	280	24	)	)	PUNCT
cana-4262	280	25	as	as	ADP
cana-4262	280	26	nanoparticle	nanoparticle	NOUN
cana-4262	280	27	brownian	brownian	ADJ
cana-4262	280	28	motion	motion	NOUN
cana-4262	280	29	(	(	PUNCT
cana-4262	280	30	nbt	nbt	NOUN
cana-4262	280	31	)	)	PUNCT
cana-4262	280	32	increases	increase	NOUN
cana-4262	280	33	,	,	PUNCT
cana-4262	280	34	the	the	DET
cana-4262	280	35	temperature	temperature	NOUN
cana-4262	280	36	profile	profile	NOUN
cana-4262	280	37	typically	typically	ADV
cana-4262	280	38	follows	follow	VERB
cana-4262	280	39	this	this	DET
cana-4262	280	40	trend	trend	NOUN
cana-4262	280	41	because	because	SCONJ
cana-4262	280	42	of	of	ADP
cana-4262	280	43	the	the	DET
cana-4262	280	44	correlation	correlation	NOUN
cana-4262	280	45	between	between	ADP
cana-4262	280	46	the	the	DET
cana-4262	280	47	brownian	brownian	ADJ
cana-4262	280	48	diffusivity	diffusivity	NOUN
cana-4262	280	49	and	and	CCONJ
cana-4262	280	50	the	the	DET
cana-4262	280	51	diffusion	diffusion	NOUN
cana-4262	280	52	coefficient	coefficient	NOUN
cana-4262	280	53	of	of	ADP
cana-4262	280	54	thermophoretic	thermophoretic	ADJ
cana-4262	280	55	in	in	ADP
cana-4262	280	56	the	the	DET
cana-4262	280	57	diffusivity	diffusivity	NOUN
cana-4262	280	58	ratio	ratio	NOUN
cana-4262	280	59	.	.	PUNCT
cana-4262	281	1	figure	figure	VERB
cana-4262	281	2	28	28	NUM
cana-4262	281	3	:	:	PUNCT
cana-4262	281	4	impact	impact	NOUN
cana-4262	281	5	of	of	ADP
cana-4262	281	6	nbt	nbt	NOUN
cana-4262	281	7	(	(	PUNCT
cana-4262	281	8	diffusivity	diffusivity	NOUN
cana-4262	281	9	parameter	parameter	NOUN
cana-4262	281	10	)	)	PUNCT
cana-4262	281	11	on	on	ADP
cana-4262	281	12	concentration	concentration	NOUN
cana-4262	281	13	profile	profile	NOUN
cana-4262	281	14	figure	figure	NOUN
cana-4262	281	15	28	28	NUM
cana-4262	281	16	demonstrates	demonstrate	VERB
cana-4262	281	17	that	that	SCONJ
cana-4262	281	18	growing	grow	VERB
cana-4262	281	19	nbt	nbt	VERB
cana-4262	281	20	values	value	NOUN
cana-4262	281	21	cause	cause	VERB
cana-4262	281	22	nanofluid	nanofluid	ADJ
cana-4262	281	23	particles	particle	NOUN
cana-4262	281	24	to	to	PART
cana-4262	281	25	become	become	VERB
cana-4262	281	26	more	more	ADV
cana-4262	281	27	energetic	energetic	ADJ
cana-4262	281	28	,	,	PUNCT
cana-4262	281	29	spreading	spread	VERB
cana-4262	281	30	out	out	ADP
cana-4262	281	31	and	and	CCONJ
cana-4262	281	32	reducing	reduce	VERB
cana-4262	281	33	φ(η	φ(η	NOUN
cana-4262	281	34	)	)	PUNCT
cana-4262	281	35	.	.	PUNCT
cana-4262	282	1	the	the	DET
cana-4262	282	2	increasing	increase	VERB
cana-4262	282	3	amount	amount	NOUN
cana-4262	282	4	of	of	ADP
cana-4262	282	5	nbt	nbt	NOUN
cana-4262	282	6	causes	cause	VERB
cana-4262	282	7	the	the	DET
cana-4262	282	8	nanofluid	nanofluid	ADJ
cana-4262	282	9	particles	particle	NOUN
cana-4262	282	10	to	to	PART
cana-4262	282	11	move	move	VERB
cana-4262	282	12	about	about	ADV
cana-4262	282	13	a	a	DET
cana-4262	282	14	lot	lot	NOUN
cana-4262	282	15	,	,	PUNCT
cana-4262	282	16	which	which	PRON
cana-4262	282	17	causes	cause	VERB
cana-4262	282	18	them	they	PRON
cana-4262	282	19	to	to	PART
cana-4262	282	20	spread	spread	VERB
cana-4262	282	21	out	out	ADP
cana-4262	282	22	and	and	CCONJ
cana-4262	282	23	collide	collide	VERB
cana-4262	282	24	more	more	ADV
cana-4262	282	25	frequently	frequently	ADV
cana-4262	282	26	.	.	PUNCT
cana-4262	283	1	communications	communication	NOUN
cana-4262	283	2	on	on	ADP
cana-4262	283	3	applied	apply	VERB
cana-4262	283	4	nonlinear	nonlinear	ADJ
cana-4262	283	5	analysis	analysis	NOUN
cana-4262	283	6	issn	issn	NOUN
cana-4262	283	7	:	:	PUNCT
cana-4262	283	8	1074	1074	NUM
cana-4262	283	9	-	-	PUNCT
cana-4262	283	10	133x	133x	NUM
cana-4262	283	11	vol	vol	NOUN
cana-4262	283	12	32	32	NUM
cana-4262	283	13	no	no	NOUN
cana-4262	283	14	.	.	PUNCT
cana-4262	284	1	9s	9s	NUM
cana-4262	284	2	(	(	PUNCT
cana-4262	284	3	2025	2025	NUM
cana-4262	284	4	)	)	PUNCT
cana-4262	284	5	1672	1672	NUM
cana-4262	284	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	284	7	figure	figure	NOUN
cana-4262	284	8	29	29	NUM
cana-4262	284	9	:	:	PUNCT
cana-4262	284	10	impact	impact	NOUN
cana-4262	284	11	of	of	ADP
cana-4262	284	12	sc	sc	PROPN
cana-4262	284	13	(	(	PUNCT
cana-4262	284	14	schmidt	schmidt	ADJ
cana-4262	284	15	number	number	NOUN
cana-4262	284	16	)	)	PUNCT
cana-4262	284	17	on	on	ADP
cana-4262	284	18	concentration	concentration	NOUN
cana-4262	284	19	profile	profile	NOUN
cana-4262	284	20	figure	figure	NOUN
cana-4262	284	21	29	29	NUM
cana-4262	284	22	reveals	reveal	VERB
cana-4262	284	23	that	that	SCONJ
cana-4262	284	24	the	the	DET
cana-4262	284	25	schmidt	schmidt	ADJ
cana-4262	284	26	number	number	NOUN
cana-4262	284	27	significantly	significantly	ADV
cana-4262	284	28	influences	influence	VERB
cana-4262	284	29	momentum	momentum	NOUN
cana-4262	284	30	and	and	CCONJ
cana-4262	284	31	concentration	concentration	NOUN
cana-4262	284	32	boundary	boundary	ADJ
cana-4262	284	33	layers	layer	NOUN
cana-4262	284	34	,	,	PUNCT
cana-4262	284	35	with	with	ADP
cana-4262	284	36	higher	high	ADJ
cana-4262	284	37	values	value	NOUN
cana-4262	284	38	suppressing	suppress	VERB
cana-4262	284	39	brownian	brownian	ADJ
cana-4262	284	40	diffusivity	diffusivity	NOUN
cana-4262	284	41	.	.	PUNCT
cana-4262	285	1	logically	logically	ADV
cana-4262	285	2	,	,	PUNCT
cana-4262	285	3	brownian	brownian	ADJ
cana-4262	285	4	diffusivity	diffusivity	NOUN
cana-4262	285	5	and	and	CCONJ
cana-4262	285	6	schmidt	schmidt	NOUN
cana-4262	285	7	number	number	NOUN
cana-4262	285	8	exhibit	exhibit	VERB
cana-4262	285	9	an	an	DET
cana-4262	285	10	inverse	inverse	NOUN
cana-4262	285	11	relationship	relationship	NOUN
cana-4262	285	12	.	.	PUNCT
cana-4262	286	1	a	a	DET
cana-4262	286	2	lower	low	ADJ
cana-4262	286	3	φ(η	φ(η	NOUN
cana-4262	286	4	)	)	PUNCT
cana-4262	286	5	results	result	NOUN
cana-4262	286	6	from	from	ADP
cana-4262	286	7	a	a	DET
cana-4262	286	8	weaker	weak	ADJ
cana-4262	286	9	brownian	brownian	ADJ
cana-4262	286	10	diffusivity	diffusivity	NOUN
cana-4262	286	11	caused	cause	VERB
cana-4262	286	12	by	by	ADP
cana-4262	286	13	a	a	DET
cana-4262	286	14	larger	large	ADJ
cana-4262	286	15	schmidt	schmidt	ADJ
cana-4262	286	16	number	number	NOUN
cana-4262	286	17	.	.	PUNCT
cana-4262	287	1	figure	figure	NOUN
cana-4262	287	2	30	30	NUM
cana-4262	287	3	:	:	PUNCT
cana-4262	287	4	impact	impact	NOUN
cana-4262	287	5	of	of	ADP
cana-4262	287	6	ec	ec	PROPN
cana-4262	287	7	(	(	PUNCT
cana-4262	287	8	eckert	eckert	PROPN
cana-4262	287	9	number	number	PROPN
cana-4262	287	10	)	)	PUNCT
cana-4262	287	11	on	on	ADP
cana-4262	287	12	temperature	temperature	NOUN
cana-4262	287	13	profile	profile	NOUN
cana-4262	287	14	figure	figure	NOUN
cana-4262	287	15	30	30	NUM
cana-4262	287	16	demonstrates	demonstrate	VERB
cana-4262	287	17	that	that	SCONJ
cana-4262	287	18	a	a	DET
cana-4262	287	19	rise	rise	NOUN
cana-4262	287	20	in	in	ADP
cana-4262	287	21	the	the	DET
cana-4262	287	22	eckert	eckert	PROPN
cana-4262	287	23	number	number	NOUN
cana-4262	287	24	corresponds	correspond	VERB
cana-4262	287	25	to	to	ADP
cana-4262	287	26	an	an	DET
cana-4262	287	27	increase	increase	NOUN
cana-4262	287	28	in	in	ADP
cana-4262	287	29	fluid	fluid	ADJ
cana-4262	287	30	temperature	temperature	NOUN
cana-4262	287	31	.	.	PUNCT
cana-4262	288	1	the	the	DET
cana-4262	288	2	eckert	eckert	PROPN
cana-4262	288	3	number	number	NOUN
cana-4262	288	4	serves	serve	VERB
cana-4262	288	5	as	as	ADP
cana-4262	288	6	a	a	DET
cana-4262	288	7	crucial	crucial	ADJ
cana-4262	288	8	indicator	indicator	NOUN
cana-4262	288	9	of	of	ADP
cana-4262	288	10	the	the	DET
cana-4262	288	11	significance	significance	NOUN
cana-4262	288	12	of	of	ADP
cana-4262	288	13	self	self	NOUN
cana-4262	288	14	-	-	PUNCT
cana-4262	288	15	heating	heating	NOUN
cana-4262	288	16	effects	effect	NOUN
cana-4262	288	17	caused	cause	VERB
cana-4262	288	18	by	by	ADP
cana-4262	288	19	dissipation	dissipation	NOUN
cana-4262	288	20	,	,	PUNCT
cana-4262	288	21	helping	help	VERB
cana-4262	288	22	to	to	PART
cana-4262	288	23	determine	determine	VERB
cana-4262	288	24	whether	whether	SCONJ
cana-4262	288	25	these	these	DET
cana-4262	288	26	effects	effect	NOUN
cana-4262	288	27	can	can	AUX
cana-4262	288	28	be	be	AUX
cana-4262	288	29	neglected	neglect	VERB
cana-4262	288	30	.	.	PUNCT
cana-4262	289	1	at	at	ADP
cana-4262	289	2	high	high	ADJ
cana-4262	289	3	flow	flow	NOUN
cana-4262	289	4	velocities	velocity	NOUN
cana-4262	289	5	,	,	PUNCT
cana-4262	289	6	the	the	DET
cana-4262	289	7	temperature	temperature	NOUN
cana-4262	289	8	profile	profile	NOUN
cana-4262	289	9	is	be	AUX
cana-4262	289	10	affected	affect	VERB
cana-4262	289	11	by	by	ADP
cana-4262	289	12	both	both	DET
cana-4262	289	13	temperature	temperature	NOUN
cana-4262	289	14	gradients	gradient	NOUN
cana-4262	289	15	and	and	CCONJ
cana-4262	289	16	the	the	DET
cana-4262	289	17	effects	effect	NOUN
cana-4262	289	18	of	of	ADP
cana-4262	289	19	dissipation	dissipation	NOUN
cana-4262	289	20	.	.	PUNCT
cana-4262	290	1	communications	communication	NOUN
cana-4262	290	2	on	on	ADP
cana-4262	290	3	applied	apply	VERB
cana-4262	290	4	nonlinear	nonlinear	ADJ
cana-4262	290	5	analysis	analysis	NOUN
cana-4262	290	6	issn	issn	NOUN
cana-4262	290	7	:	:	PUNCT
cana-4262	290	8	1074	1074	NUM
cana-4262	290	9	-	-	PUNCT
cana-4262	290	10	133x	133x	NUM
cana-4262	290	11	vol	vol	NOUN
cana-4262	290	12	32	32	NUM
cana-4262	290	13	no	no	NOUN
cana-4262	290	14	.	.	PUNCT
cana-4262	291	1	9s	9s	NUM
cana-4262	291	2	(	(	PUNCT
cana-4262	291	3	2025	2025	NUM
cana-4262	291	4	)	)	PUNCT
cana-4262	291	5	1673	1673	NUM
cana-4262	291	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	291	7	figure	figure	NOUN
cana-4262	291	8	31	31	NUM
cana-4262	291	9	:	:	PUNCT
cana-4262	291	10	impact	impact	NOUN
cana-4262	291	11	of	of	ADP
cana-4262	291	12	𝑨∗	𝑨∗	PROPN
cana-4262	291	13	on	on	ADP
cana-4262	291	14	temperature	temperature	NOUN
cana-4262	291	15	profile	profile	NOUN
cana-4262	291	16	figure	figure	NOUN
cana-4262	291	17	32	32	NUM
cana-4262	291	18	:	:	PUNCT
cana-4262	291	19	impact	impact	NOUN
cana-4262	291	20	of	of	ADP
cana-4262	291	21	𝑩∗	𝑩∗	NOUN
cana-4262	291	22	on	on	ADP
cana-4262	291	23	temperature	temperature	NOUN
cana-4262	291	24	profile	profile	NOUN
cana-4262	291	25	figures	figure	VERB
cana-4262	291	26	31	31	NUM
cana-4262	291	27	and	and	CCONJ
cana-4262	291	28	32	32	NUM
cana-4262	291	29	illustrate	illustrate	VERB
cana-4262	291	30	the	the	DET
cana-4262	291	31	effect	effect	NOUN
cana-4262	291	32	of	of	ADP
cana-4262	291	33	heat	heat	NOUN
cana-4262	291	34	source	source	NOUN
cana-4262	291	35	/	/	SYM
cana-4262	291	36	sink	sink	NOUN
cana-4262	291	37	parameters	parameter	NOUN
cana-4262	291	38	a∗	a∗	ADJ
cana-4262	291	39	and	and	CCONJ
cana-4262	291	40	b∗	b∗	ADJ
cana-4262	291	41	on	on	ADP
cana-4262	291	42	temperature	temperature	NOUN
cana-4262	291	43	distribution	distribution	NOUN
cana-4262	291	44	θ(η	θ(η	NOUN
cana-4262	291	45	)	)	PUNCT
cana-4262	291	46	.	.	PUNCT
cana-4262	292	1	notably	notably	ADV
cana-4262	292	2	,	,	PUNCT
cana-4262	292	3	increasing	increase	VERB
cana-4262	292	4	a∗	a∗	ADJ
cana-4262	292	5	and	and	CCONJ
cana-4262	292	6	b∗	b∗	ADJ
cana-4262	292	7	values	value	NOUN
cana-4262	292	8	yield	yield	VERB
cana-4262	292	9	a	a	DET
cana-4262	292	10	significant	significant	ADJ
cana-4262	292	11	rise	rise	NOUN
cana-4262	292	12	in	in	ADP
cana-4262	292	13	fluid	fluid	ADJ
cana-4262	292	14	temperature	temperature	NOUN
cana-4262	292	15	,	,	PUNCT
cana-4262	292	16	indicating	indicate	VERB
cana-4262	292	17	enhanced	enhanced	ADJ
cana-4262	292	18	heat	heat	NOUN
cana-4262	292	19	generation	generation	NOUN
cana-4262	292	20	within	within	ADP
cana-4262	292	21	the	the	DET
cana-4262	292	22	flow	flow	NOUN
cana-4262	292	23	.	.	PUNCT
cana-4262	293	1	the	the	DET
cana-4262	293	2	temperature	temperature	NOUN
cana-4262	293	3	distribution	distribution	NOUN
cana-4262	293	4	is	be	AUX
cana-4262	293	5	strongly	strongly	ADV
cana-4262	293	6	correlated	correlate	VERB
cana-4262	293	7	with	with	ADP
cana-4262	293	8	the	the	DET
cana-4262	293	9	magnitude	magnitude	NOUN
cana-4262	293	10	of	of	ADP
cana-4262	293	11	a∗	a∗	PROPN
cana-4262	293	12	and	and	CCONJ
cana-4262	293	13	b∗.	b∗.	NOUN
cana-4262	293	14	conclusion	conclusion	NOUN
cana-4262	293	15	:	:	PUNCT
cana-4262	293	16	a	a	DET
cana-4262	293	17	comprehensive	comprehensive	ADJ
cana-4262	293	18	analysis	analysis	NOUN
cana-4262	293	19	of	of	ADP
cana-4262	293	20	a	a	DET
cana-4262	293	21	two	two	NUM
cana-4262	293	22	-	-	PUNCT
cana-4262	293	23	dimensional	dimensional	ADJ
cana-4262	293	24	,	,	PUNCT
cana-4262	293	25	unsteady	unsteady	ADJ
cana-4262	293	26	,	,	PUNCT
cana-4262	293	27	incompressible	incompressible	ADJ
cana-4262	293	28	mhd	mhd	PROPN
cana-4262	293	29	casson	casson	PROPN
cana-4262	293	30	fluid	fluid	NOUN
cana-4262	293	31	was	be	AUX
cana-4262	293	32	conducted	conduct	VERB
cana-4262	293	33	,	,	PUNCT
cana-4262	293	34	focusing	focus	VERB
cana-4262	293	35	on	on	ADP
cana-4262	293	36	its	its	PRON
cana-4262	293	37	interactions	interaction	NOUN
cana-4262	293	38	with	with	ADP
cana-4262	293	39	nanoparticles	nanoparticle	NOUN
cana-4262	293	40	and	and	CCONJ
cana-4262	293	41	non	non	ADJ
cana-4262	293	42	-	-	ADJ
cana-4262	293	43	uniform	uniform	ADJ
cana-4262	293	44	heat	heat	NOUN
cana-4262	293	45	source	source	NOUN
cana-4262	293	46	/	/	SYM
cana-4262	293	47	sink	sink	NOUN
cana-4262	293	48	in	in	ADP
cana-4262	293	49	the	the	DET
cana-4262	293	50	presence	presence	NOUN
cana-4262	293	51	of	of	ADP
cana-4262	293	52	chemical	chemical	NOUN
cana-4262	293	53	reactions	reaction	NOUN
cana-4262	293	54	.	.	PUNCT
cana-4262	294	1	assuming	assume	VERB
cana-4262	294	2	mass	mass	NOUN
cana-4262	294	3	and	and	CCONJ
cana-4262	294	4	heat	heat	NOUN
cana-4262	294	5	transport	transport	NOUN
cana-4262	294	6	across	across	ADP
cana-4262	294	7	a	a	DET
cana-4262	294	8	stretching	stretch	VERB
cana-4262	294	9	sheet	sheet	NOUN
cana-4262	294	10	,	,	PUNCT
cana-4262	294	11	this	this	DET
cana-4262	294	12	study	study	NOUN
cana-4262	294	13	quantitatively	quantitatively	ADV
cana-4262	294	14	examined	examine	VERB
cana-4262	294	15	the	the	DET
cana-4262	294	16	influence	influence	NOUN
cana-4262	294	17	of	of	ADP
cana-4262	294	18	various	various	ADJ
cana-4262	294	19	thermophysical	thermophysical	ADJ
cana-4262	294	20	parameters	parameter	NOUN
cana-4262	294	21	on	on	ADP
cana-4262	294	22	velocity	velocity	NOUN
cana-4262	294	23	,	,	PUNCT
cana-4262	294	24	communications	communication	NOUN
cana-4262	294	25	on	on	ADP
cana-4262	294	26	applied	apply	VERB
cana-4262	294	27	nonlinear	nonlinear	ADJ
cana-4262	294	28	analysis	analysis	NOUN
cana-4262	294	29	issn	issn	NOUN
cana-4262	294	30	:	:	PUNCT
cana-4262	294	31	1074	1074	NUM
cana-4262	294	32	-	-	PUNCT
cana-4262	294	33	133x	133x	NUM
cana-4262	294	34	vol	vol	NOUN
cana-4262	294	35	32	32	NUM
cana-4262	295	1	no	no	NOUN
cana-4262	295	2	.	.	PUNCT
cana-4262	296	1	9s	9s	NUM
cana-4262	296	2	(	(	PUNCT
cana-4262	296	3	2025	2025	NUM
cana-4262	296	4	)	)	PUNCT
cana-4262	296	5	1674	1674	NUM
cana-4262	296	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	296	7	concentration	concentration	NOUN
cana-4262	296	8	,	,	PUNCT
cana-4262	296	9	and	and	CCONJ
cana-4262	296	10	temperature	temperature	NOUN
cana-4262	296	11	distributions	distribution	NOUN
cana-4262	296	12	.	.	PUNCT
cana-4262	297	1	the	the	DET
cana-4262	297	2	key	key	ADJ
cana-4262	297	3	results	result	NOUN
cana-4262	297	4	of	of	ADP
cana-4262	297	5	this	this	DET
cana-4262	297	6	investigation	investigation	NOUN
cana-4262	297	7	are	be	AUX
cana-4262	297	8	summarized	summarize	VERB
cana-4262	297	9	below	below	ADP
cana-4262	297	10	.	.	PUNCT
cana-4262	298	1	•	•	CCONJ
cana-4262	298	2	the	the	DET
cana-4262	298	3	magnetic	magnetic	ADJ
cana-4262	298	4	field	field	NOUN
cana-4262	298	5	induces	induce	VERB
cana-4262	298	6	a	a	DET
cana-4262	298	7	resistive	resistive	ADJ
cana-4262	298	8	force	force	NOUN
cana-4262	298	9	,	,	PUNCT
cana-4262	298	10	resulting	result	VERB
cana-4262	298	11	in	in	ADP
cana-4262	298	12	a	a	DET
cana-4262	298	13	reduction	reduction	NOUN
cana-4262	298	14	of	of	ADP
cana-4262	298	15	fluid	fluid	ADJ
cana-4262	298	16	velocity	velocity	NOUN
cana-4262	298	17	,	,	PUNCT
cana-4262	298	18	resulting	result	VERB
cana-4262	298	19	in	in	ADP
cana-4262	298	20	a	a	DET
cana-4262	298	21	more	more	ADV
cana-4262	298	22	pronounced	pronounced	ADJ
cana-4262	298	23	boundary	boundary	ADJ
cana-4262	298	24	layer	layer	NOUN
cana-4262	298	25	near	near	ADP
cana-4262	298	26	the	the	DET
cana-4262	298	27	wall	wall	NOUN
cana-4262	298	28	.	.	PUNCT
cana-4262	299	1	•	•	NUM
cana-4262	299	2	due	due	ADP
cana-4262	299	3	to	to	ADP
cana-4262	299	4	non	non	ADJ
cana-4262	299	5	-	-	ADJ
cana-4262	299	6	newtonian	newtonian	ADJ
cana-4262	299	7	nature	nature	NOUN
cana-4262	299	8	of	of	ADP
cana-4262	299	9	casson	casson	PROPN
cana-4262	299	10	fluids	fluid	NOUN
cana-4262	299	11	,	,	PUNCT
cana-4262	299	12	the	the	DET
cana-4262	299	13	yield	yield	NOUN
cana-4262	299	14	stress	stress	NOUN
cana-4262	299	15	of	of	ADP
cana-4262	299	16	the	the	DET
cana-4262	299	17	casson	casson	PROPN
cana-4262	299	18	fluid	fluid	NOUN
cana-4262	299	19	affects	affect	VERB
cana-4262	299	20	the	the	DET
cana-4262	299	21	overall	overall	ADJ
cana-4262	299	22	flow	flow	NOUN
cana-4262	299	23	resistance	resistance	NOUN
cana-4262	299	24	and	and	CCONJ
cana-4262	299	25	modifies	modify	VERB
cana-4262	299	26	the	the	DET
cana-4262	299	27	velocity	velocity	NOUN
cana-4262	299	28	and	and	CCONJ
cana-4262	299	29	temperature	temperature	NOUN
cana-4262	299	30	profiles	profile	NOUN
cana-4262	299	31	compared	compare	VERB
cana-4262	299	32	to	to	ADP
cana-4262	299	33	newtonian	newtonian	ADJ
cana-4262	299	34	fluids	fluid	NOUN
cana-4262	299	35	.	.	PUNCT
cana-4262	300	1	higher	high	ADJ
cana-4262	300	2	yield	yield	NOUN
cana-4262	300	3	stress	stress	NOUN
cana-4262	300	4	generally	generally	ADV
cana-4262	300	5	results	result	VERB
cana-4262	300	6	in	in	ADP
cana-4262	300	7	reduced	reduce	VERB
cana-4262	300	8	velocity	velocity	NOUN
cana-4262	300	9	fields	field	NOUN
cana-4262	300	10	and	and	CCONJ
cana-4262	300	11	altered	alter	VERB
cana-4262	300	12	thermal	thermal	ADJ
cana-4262	300	13	profiles	profile	NOUN
cana-4262	300	14	.	.	PUNCT
cana-4262	301	1	•	•	NUM
cana-4262	301	2	forchheimer	forchheimer	ADJ
cana-4262	301	3	term	term	NOUN
cana-4262	301	4	becomes	become	VERB
cana-4262	301	5	increasingly	increasingly	ADV
cana-4262	301	6	significant	significant	ADJ
cana-4262	301	7	at	at	ADP
cana-4262	301	8	higher	high	ADJ
cana-4262	301	9	velocities	velocity	NOUN
cana-4262	301	10	,	,	PUNCT
cana-4262	301	11	leading	lead	VERB
cana-4262	301	12	to	to	ADP
cana-4262	301	13	a	a	DET
cana-4262	301	14	more	more	ADV
cana-4262	301	15	complex	complex	ADJ
cana-4262	301	16	flow	flow	NOUN
cana-4262	301	17	pattern	pattern	NOUN
cana-4262	301	18	and	and	CCONJ
cana-4262	301	19	a	a	DET
cana-4262	301	20	more	more	ADV
cana-4262	301	21	pronounced	pronounce	VERB
cana-4262	301	22	impact	impact	NOUN
cana-4262	301	23	on	on	ADP
cana-4262	301	24	heat	heat	NOUN
cana-4262	301	25	transfer	transfer	NOUN
cana-4262	301	26	.	.	PUNCT
cana-4262	302	1	•	•	NUM
cana-4262	302	2	heat	heat	NOUN
cana-4262	302	3	sources	source	NOUN
cana-4262	302	4	affect	affect	VERB
cana-4262	302	5	the	the	DET
cana-4262	302	6	temperature	temperature	NOUN
cana-4262	302	7	distribution	distribution	NOUN
cana-4262	302	8	within	within	ADP
cana-4262	302	9	the	the	DET
cana-4262	302	10	fluid	fluid	NOUN
cana-4262	302	11	.	.	PUNCT
cana-4262	303	1	the	the	DET
cana-4262	303	2	temperature	temperature	NOUN
cana-4262	303	3	gradient	gradient	NOUN
cana-4262	303	4	and	and	CCONJ
cana-4262	303	5	the	the	DET
cana-4262	303	6	resulting	result	VERB
cana-4262	303	7	heat	heat	NOUN
cana-4262	303	8	transfer	transfer	NOUN
cana-4262	303	9	rates	rate	NOUN
cana-4262	303	10	are	be	AUX
cana-4262	303	11	strongly	strongly	ADV
cana-4262	303	12	influenced	influence	VERB
cana-4262	303	13	by	by	ADP
cana-4262	303	14	the	the	DET
cana-4262	303	15	interaction	interaction	NOUN
cana-4262	303	16	between	between	ADP
cana-4262	303	17	the	the	DET
cana-4262	303	18	heat	heat	NOUN
cana-4262	303	19	sources	source	NOUN
cana-4262	303	20	and	and	CCONJ
cana-4262	303	21	the	the	DET
cana-4262	303	22	convective	convective	ADJ
cana-4262	303	23	flow	flow	NOUN
cana-4262	303	24	.	.	PUNCT
cana-4262	304	1	•	•	NUM
cana-4262	304	2	the	the	DET
cana-4262	304	3	concurrent	concurrent	ADJ
cana-4262	304	4	influence	influence	NOUN
cana-4262	304	5	of	of	ADP
cana-4262	304	6	the	the	DET
cana-4262	304	7	magnetic	magnetic	ADJ
cana-4262	304	8	field	field	NOUN
cana-4262	304	9	,	,	PUNCT
cana-4262	304	10	casson	casson	PROPN
cana-4262	304	11	fluid	fluid	NOUN
cana-4262	304	12	properties	property	NOUN
cana-4262	304	13	,	,	PUNCT
cana-4262	304	14	porous	porous	ADJ
cana-4262	304	15	medium	medium	ADJ
cana-4262	304	16	resistance	resistance	NOUN
cana-4262	304	17	,	,	PUNCT
cana-4262	304	18	and	and	CCONJ
cana-4262	304	19	heat	heat	NOUN
cana-4262	304	20	sources	source	NOUN
cana-4262	304	21	lead	lead	VERB
cana-4262	304	22	to	to	ADP
cana-4262	304	23	complex	complex	ADJ
cana-4262	304	24	interactions	interaction	NOUN
cana-4262	304	25	that	that	PRON
cana-4262	304	26	dictate	dictate	VERB
cana-4262	304	27	the	the	DET
cana-4262	304	28	thermal	thermal	ADJ
cana-4262	304	29	and	and	CCONJ
cana-4262	304	30	flow	flow	NOUN
cana-4262	304	31	behavior	behavior	NOUN
cana-4262	304	32	.	.	PUNCT
cana-4262	305	1	•	•	ADP
cana-4262	305	2	as	as	ADP
cana-4262	305	3	joule	joule	NOUN
cana-4262	305	4	heating	heating	NOUN
cana-4262	305	5	(	(	PUNCT
cana-4262	305	6	j	j	NOUN
cana-4262	305	7	)	)	PUNCT
cana-4262	305	8	increases	increase	NOUN
cana-4262	305	9	,	,	PUNCT
cana-4262	305	10	both	both	PRON
cana-4262	305	11	momentum	momentum	NOUN
cana-4262	305	12	and	and	CCONJ
cana-4262	305	13	temperature	temperature	NOUN
cana-4262	305	14	curves	curve	NOUN
cana-4262	305	15	exhibit	exhibit	VERB
cana-4262	305	16	a	a	DET
cana-4262	305	17	significant	significant	ADJ
cana-4262	305	18	upward	upward	ADJ
cana-4262	305	19	trend	trend	NOUN
cana-4262	305	20	.	.	PUNCT
cana-4262	306	1	•	•	NUM
cana-4262	306	2	the	the	DET
cana-4262	306	3	momentum	momentum	NOUN
cana-4262	306	4	and	and	CCONJ
cana-4262	306	5	temperature	temperature	NOUN
cana-4262	306	6	curves	curve	NOUN
cana-4262	306	7	exhibit	exhibit	VERB
cana-4262	306	8	a	a	DET
cana-4262	306	9	significant	significant	ADJ
cana-4262	306	10	increase	increase	NOUN
cana-4262	306	11	with	with	ADP
cana-4262	306	12	the	the	DET
cana-4262	306	13	enhancement	enhancement	NOUN
cana-4262	306	14	of	of	ADP
cana-4262	306	15	variable	variable	ADJ
cana-4262	306	16	heat	heat	NOUN
cana-4262	306	17	source	source	NOUN
cana-4262	306	18	/	/	SYM
cana-4262	306	19	sink	sink	NOUN
cana-4262	306	20	parameters	parameter	NOUN
cana-4262	306	21	,	,	PUNCT
cana-4262	306	22	specifically	specifically	ADV
cana-4262	306	23	a	a	PRON
cana-4262	306	24	*	*	ADJ
cana-4262	306	25	and	and	CCONJ
cana-4262	306	26	b	b	X
cana-4262	306	27	*	*	PROPN
cana-4262	306	28	.	.	PUNCT
cana-4262	307	1	references	reference	NOUN
cana-4262	307	2	1	1	NUM
cana-4262	307	3	.	.	PUNCT
cana-4262	307	4	crane	crane	NOUN
cana-4262	307	5	,	,	PUNCT
cana-4262	307	6	lawrence	lawrence	PROPN
cana-4262	307	7	j.	j.	PROPN
cana-4262	307	8	"	"	PUNCT
cana-4262	307	9	flow	flow	VERB
cana-4262	307	10	past	past	ADP
cana-4262	307	11	a	a	DET
cana-4262	307	12	stretching	stretch	VERB
cana-4262	307	13	plate	plate	NOUN
cana-4262	307	14	.	.	PUNCT
cana-4262	307	15	"	"	PUNCT
cana-4262	308	1	zeitschrift	zeitschrift	PROPN
cana-4262	308	2	für	für	PROPN
cana-4262	308	3	angewandte	angewandte	PROPN
cana-4262	308	4	mathematik	mathematik	PROPN
cana-4262	308	5	und	und	PROPN
cana-4262	308	6	physik	physik	PROPN
cana-4262	308	7	zamp	zamp	PROPN
cana-4262	308	8	21	21	NUM
cana-4262	308	9	(	(	PUNCT
cana-4262	308	10	1970	1970	NUM
cana-4262	308	11	):	):	PUNCT
cana-4262	308	12	645	645	NUM
cana-4262	308	13	-	-	SYM
cana-4262	308	14	647	647	NUM
cana-4262	308	15	.	.	PUNCT
cana-4262	308	16	2	2	X
cana-4262	308	17	.	.	X
cana-4262	308	18	sakiadis	sakiadis	PROPN
cana-4262	308	19	,	,	PUNCT
cana-4262	308	20	byron	byron	PROPN
cana-4262	308	21	c.	c.	PROPN
cana-4262	308	22	"	"	PUNCT
cana-4262	308	23	boundary‐layer	boundary‐layer	PROPN
cana-4262	308	24	behavior	behavior	NOUN
cana-4262	308	25	on	on	ADP
cana-4262	308	26	continuous	continuous	ADJ
cana-4262	308	27	solid	solid	ADJ
cana-4262	308	28	surfaces	surface	NOUN
cana-4262	308	29	:	:	PUNCT
cana-4262	308	30	i.	i.	PROPN
cana-4262	308	31	boundary‐layer	boundary‐layer	PROPN
cana-4262	308	32	equations	equation	NOUN
cana-4262	308	33	for	for	ADP
cana-4262	308	34	two‐dimensional	two‐dimensional	ADJ
cana-4262	308	35	and	and	CCONJ
cana-4262	308	36	axisymmetric	axisymmetric	ADJ
cana-4262	308	37	flow	flow	NOUN
cana-4262	308	38	.	.	PUNCT
cana-4262	308	39	"	"	PUNCT
cana-4262	309	1	aiche	aiche	PROPN
cana-4262	309	2	journal	journal	PROPN
cana-4262	309	3	7.1	7.1	NUM
cana-4262	309	4	(	(	PUNCT
cana-4262	309	5	1961	1961	NUM
cana-4262	309	6	):	):	PUNCT
cana-4262	309	7	26	26	NUM
cana-4262	309	8	-	-	SYM
cana-4262	309	9	28	28	NUM
cana-4262	309	10	.	.	PUNCT
cana-4262	310	1	3	3	X
cana-4262	310	2	.	.	X
cana-4262	310	3	farooq	farooq	PROPN
cana-4262	310	4	,	,	PUNCT
cana-4262	310	5	umer	umer	PROPN
cana-4262	310	6	,	,	PUNCT
cana-4262	310	7	et	et	PROPN
cana-4262	310	8	al	al	PROPN
cana-4262	310	9	.	.	PUNCT
cana-4262	311	1	"	"	PUNCT
cana-4262	311	2	impact	impact	NOUN
cana-4262	311	3	of	of	ADP
cana-4262	311	4	non	non	ADJ
cana-4262	311	5	-	-	ADJ
cana-4262	311	6	similar	similar	ADJ
cana-4262	311	7	modeling	modeling	NOUN
cana-4262	311	8	on	on	ADP
cana-4262	311	9	darcy	darcy	PROPN
cana-4262	311	10	-	-	PUNCT
cana-4262	311	11	forchheimer	forchheimer	PROPN
cana-4262	311	12	-	-	PUNCT
cana-4262	311	13	brinkman	brinkman	NOUN
cana-4262	311	14	model	model	NOUN
cana-4262	311	15	for	for	ADP
cana-4262	311	16	forced	force	VERB
cana-4262	311	17	convection	convection	NOUN
cana-4262	311	18	of	of	ADP
cana-4262	311	19	casson	casson	PROPN
cana-4262	311	20	nano	nano	NOUN
cana-4262	311	21	-	-	PUNCT
cana-4262	311	22	fluid	fluid	NOUN
cana-4262	311	23	in	in	ADP
cana-4262	311	24	non	non	ADJ
cana-4262	311	25	-	-	ADJ
cana-4262	311	26	darcy	darcy	ADJ
cana-4262	311	27	porous	porous	ADJ
cana-4262	311	28	media	medium	NOUN
cana-4262	311	29	.	.	PUNCT
cana-4262	311	30	"	"	PUNCT
cana-4262	312	1	international	international	ADJ
cana-4262	312	2	communications	communication	NOUN
cana-4262	312	3	in	in	ADP
cana-4262	312	4	heat	heat	NOUN
cana-4262	312	5	and	and	CCONJ
cana-4262	312	6	mass	mass	NOUN
cana-4262	312	7	transfer	transfer	NOUN
cana-4262	312	8	125	125	NUM
cana-4262	312	9	(	(	PUNCT
cana-4262	312	10	2021	2021	NUM
cana-4262	312	11	):	):	PUNCT
cana-4262	312	12	105312	105312	NUM
cana-4262	312	13	.	.	PUNCT
cana-4262	313	1	4	4	X
cana-4262	313	2	.	.	X
cana-4262	313	3	shoaib	shoaib	PROPN
cana-4262	313	4	,	,	PUNCT
cana-4262	313	5	muhammad	muhammad	PROPN
cana-4262	313	6	,	,	PUNCT
cana-4262	313	7	et	et	PROPN
cana-4262	313	8	al	al	PROPN
cana-4262	313	9	.	.	PUNCT
cana-4262	313	10	"	"	PUNCT
cana-4262	313	11	mhd	mhd	PROPN
cana-4262	313	12	casson	casson	PROPN
cana-4262	313	13	nanofluid	nanofluid	PROPN
cana-4262	313	14	in	in	ADP
cana-4262	313	15	darcy	darcy	PROPN
cana-4262	313	16	-	-	PUNCT
cana-4262	313	17	forchheimer	forchheimer	PROPN
cana-4262	313	18	porous	porous	ADJ
cana-4262	313	19	medium	medium	NOUN
cana-4262	313	20	in	in	ADP
cana-4262	313	21	the	the	DET
cana-4262	313	22	presence	presence	NOUN
cana-4262	313	23	of	of	ADP
cana-4262	313	24	heat	heat	NOUN
cana-4262	313	25	source	source	NOUN
cana-4262	313	26	and	and	CCONJ
cana-4262	313	27	arrhenious	arrhenious	ADJ
cana-4262	313	28	activation	activation	NOUN
cana-4262	313	29	energy	energy	NOUN
cana-4262	313	30	:	:	PUNCT
cana-4262	313	31	applications	application	NOUN
cana-4262	313	32	of	of	ADP
cana-4262	313	33	neural	neural	ADJ
cana-4262	313	34	networks	network	NOUN
cana-4262	313	35	.	.	PUNCT
cana-4262	313	36	"	"	PUNCT
cana-4262	314	1	international	international	ADJ
cana-4262	314	2	journal	journal	NOUN
cana-4262	314	3	of	of	ADP
cana-4262	314	4	modelling	modelling	NOUN
cana-4262	314	5	and	and	CCONJ
cana-4262	314	6	simulation	simulation	NOUN
cana-4262	314	7	43.4	43.4	NUM
cana-4262	314	8	(	(	PUNCT
cana-4262	314	9	2023	2023	NUM
cana-4262	314	10	):	):	PUNCT
cana-4262	314	11	438	438	NUM
cana-4262	314	12	-	-	SYM
cana-4262	314	13	461	461	NUM
cana-4262	314	14	.	.	PUNCT
cana-4262	315	1	5	5	NUM
cana-4262	315	2	.	.	X
cana-4262	315	3	shoaib	shoaib	PROPN
cana-4262	315	4	,	,	PUNCT
cana-4262	315	5	muhammad	muhammad	PROPN
cana-4262	315	6	,	,	PUNCT
cana-4262	315	7	et	et	PROPN
cana-4262	315	8	al	al	PROPN
cana-4262	315	9	.	.	PUNCT
cana-4262	316	1	"	"	PUNCT
cana-4262	316	2	impact	impact	NOUN
cana-4262	316	3	of	of	ADP
cana-4262	316	4	thermal	thermal	ADJ
cana-4262	316	5	energy	energy	NOUN
cana-4262	316	6	on	on	ADP
cana-4262	316	7	mhd	mhd	PROPN
cana-4262	316	8	casson	casson	PROPN
cana-4262	316	9	fluid	fluid	NOUN
cana-4262	316	10	through	through	ADP
cana-4262	316	11	a	a	DET
cana-4262	316	12	forchheimer	forchheimer	ADJ
cana-4262	316	13	porous	porous	ADJ
cana-4262	316	14	medium	medium	NOUN
cana-4262	316	15	with	with	ADP
cana-4262	316	16	inclined	inclined	ADJ
cana-4262	316	17	non	non	ADJ
cana-4262	316	18	-	-	ADJ
cana-4262	316	19	linear	linear	ADJ
cana-4262	316	20	surface	surface	NOUN
cana-4262	316	21	:	:	PUNCT
cana-4262	316	22	a	a	DET
cana-4262	316	23	soft	soft	ADJ
cana-4262	316	24	computing	computing	NOUN
cana-4262	316	25	approach	approach	NOUN
cana-4262	316	26	.	.	PUNCT
cana-4262	316	27	"	"	PUNCT
cana-4262	317	1	alexandria	alexandria	PROPN
cana-4262	317	2	engineering	engineering	PROPN
cana-4262	317	3	journal	journal	PROPN
cana-4262	317	4	61.12	61.12	NUM
cana-4262	317	5	(	(	PUNCT
cana-4262	317	6	2022	2022	NUM
cana-4262	317	7	):	):	PUNCT
cana-4262	317	8	12211	12211	NUM
cana-4262	317	9	-	-	SYM
cana-4262	317	10	12228	12228	NUM
cana-4262	317	11	.	.	PUNCT
cana-4262	318	1	6	6	NUM
cana-4262	318	2	.	.	X
cana-4262	318	3	farooq	farooq	PROPN
cana-4262	318	4	,	,	PUNCT
cana-4262	318	5	umer	umer	PROPN
cana-4262	318	6	,	,	PUNCT
cana-4262	318	7	et	et	PROPN
cana-4262	318	8	al	al	PROPN
cana-4262	318	9	.	.	PUNCT
cana-4262	319	1	"	"	PUNCT
cana-4262	319	2	modeling	modeling	NOUN
cana-4262	319	3	and	and	CCONJ
cana-4262	319	4	non	non	ADJ
cana-4262	319	5	-	-	ADJ
cana-4262	319	6	similar	similar	ADJ
cana-4262	319	7	analysis	analysis	NOUN
cana-4262	319	8	for	for	ADP
cana-4262	319	9	darcy	darcy	PROPN
cana-4262	319	10	-	-	PUNCT
cana-4262	319	11	forchheimer	forchheimer	PROPN
cana-4262	319	12	-	-	PUNCT
cana-4262	319	13	brinkman	brinkman	PROPN
cana-4262	319	14	model	model	NOUN
cana-4262	319	15	of	of	ADP
cana-4262	319	16	casson	casson	PROPN
cana-4262	319	17	fluid	fluid	NOUN
cana-4262	319	18	in	in	ADP
cana-4262	319	19	a	a	DET
cana-4262	319	20	porous	porous	ADJ
cana-4262	319	21	media	medium	NOUN
cana-4262	319	22	.	.	PUNCT
cana-4262	319	23	"	"	PUNCT
cana-4262	320	1	international	international	ADJ
cana-4262	320	2	communications	communication	NOUN
cana-4262	320	3	in	in	ADP
cana-4262	320	4	heat	heat	NOUN
cana-4262	320	5	and	and	CCONJ
cana-4262	320	6	mass	mass	NOUN
cana-4262	320	7	transfer	transfer	NOUN
cana-4262	320	8	119	119	NUM
cana-4262	320	9	(	(	PUNCT
cana-4262	320	10	2020	2020	NUM
cana-4262	320	11	):	):	PUNCT
cana-4262	320	12	104955	104955	NUM
cana-4262	320	13	.	.	PUNCT
cana-4262	321	1	7	7	X
cana-4262	321	2	.	.	X
cana-4262	321	3	seth	seth	PROPN
cana-4262	321	4	,	,	PUNCT
cana-4262	321	5	gauri	gauri	PROPN
cana-4262	321	6	shanker	shanker	PROPN
cana-4262	321	7	,	,	PUNCT
cana-4262	321	8	et	et	PROPN
cana-4262	321	9	al	al	PROPN
cana-4262	321	10	.	.	PUNCT
cana-4262	321	11	"	"	PUNCT
cana-4262	321	12	double	double	ADJ
cana-4262	321	13	diffusive	diffusive	ADJ
cana-4262	321	14	mhd	mhd	NOUN
cana-4262	321	15	casson	casson	PROPN
cana-4262	321	16	fluid	fluid	NOUN
cana-4262	321	17	flow	flow	NOUN
cana-4262	321	18	in	in	ADP
cana-4262	321	19	a	a	DET
cana-4262	321	20	non	non	ADJ
cana-4262	321	21	-	-	ADJ
cana-4262	321	22	darcy	darcy	ADJ
cana-4262	321	23	porous	porous	ADJ
cana-4262	321	24	medium	medium	NOUN
cana-4262	321	25	with	with	ADP
cana-4262	321	26	newtonian	newtonian	ADJ
cana-4262	321	27	heating	heating	NOUN
cana-4262	321	28	and	and	CCONJ
cana-4262	321	29	thermo	thermo	NOUN
cana-4262	321	30	-	-	PUNCT
cana-4262	321	31	diffusion	diffusion	NOUN
cana-4262	321	32	effects	effect	NOUN
cana-4262	321	33	.	.	PUNCT
cana-4262	321	34	"	"	PUNCT
cana-4262	321	35	international	international	ADJ
cana-4262	321	36	journal	journal	NOUN
cana-4262	321	37	of	of	ADP
cana-4262	321	38	heat	heat	PROPN
cana-4262	321	39	&	&	CCONJ
cana-4262	321	40	technology	technology	PROPN
cana-4262	321	41	36.4	36.4	NUM
cana-4262	321	42	(	(	PUNCT
cana-4262	321	43	2018	2018	NUM
cana-4262	321	44	)	)	PUNCT
cana-4262	321	45	.	.	PUNCT
cana-4262	322	1	8	8	X
cana-4262	322	2	.	.	NUM
cana-4262	322	3	durairaj	durairaj	VERB
cana-4262	322	4	,	,	PUNCT
cana-4262	322	5	mythili	mythili	NOUN
cana-4262	322	6	,	,	PUNCT
cana-4262	322	7	sivaraj	sivaraj	PROPN
cana-4262	322	8	ramachandran	ramachandran	PROPN
cana-4262	322	9	,	,	PUNCT
cana-4262	322	10	and	and	CCONJ
cana-4262	322	11	rashidi	rashidi	PROPN
cana-4262	322	12	mohammad	mohammad	PROPN
cana-4262	322	13	mehdi	mehdi	PROPN
cana-4262	322	14	.	.	PUNCT
cana-4262	323	1	"	"	PUNCT
cana-4262	323	2	heat	heat	NOUN
cana-4262	323	3	generating	generating	NOUN
cana-4262	323	4	/	/	SYM
cana-4262	323	5	absorbing	absorbing	NOUN
cana-4262	323	6	and	and	CCONJ
cana-4262	323	7	chemically	chemically	ADV
cana-4262	323	8	reacting	react	VERB
cana-4262	323	9	casson	casson	NOUN
cana-4262	323	10	fluid	fluid	NOUN
cana-4262	323	11	flow	flow	NOUN
cana-4262	323	12	over	over	ADP
cana-4262	323	13	a	a	DET
cana-4262	323	14	vertical	vertical	ADJ
cana-4262	323	15	cone	cone	NOUN
cana-4262	323	16	and	and	CCONJ
cana-4262	323	17	flat	flat	ADJ
cana-4262	323	18	plate	plate	NOUN
cana-4262	323	19	communications	communication	NOUN
cana-4262	323	20	on	on	ADP
cana-4262	323	21	applied	apply	VERB
cana-4262	323	22	nonlinear	nonlinear	ADJ
cana-4262	323	23	analysis	analysis	NOUN
cana-4262	323	24	issn	issn	NOUN
cana-4262	323	25	:	:	PUNCT
cana-4262	323	26	1074	1074	NUM
cana-4262	323	27	-	-	PUNCT
cana-4262	323	28	133x	133x	NUM
cana-4262	323	29	vol	vol	NOUN
cana-4262	323	30	32	32	NUM
cana-4262	323	31	no	no	NOUN
cana-4262	323	32	.	.	PUNCT
cana-4262	324	1	9s	9s	NUM
cana-4262	324	2	(	(	PUNCT
cana-4262	324	3	2025	2025	NUM
cana-4262	324	4	)	)	PUNCT
cana-4262	324	5	1675	1675	NUM
cana-4262	324	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-4262	324	7	saturated	saturate	VERB
cana-4262	324	8	with	with	ADP
cana-4262	324	9	non	non	ADJ
cana-4262	324	10	-	-	ADJ
cana-4262	324	11	darcy	darcy	ADJ
cana-4262	324	12	porous	porous	ADJ
cana-4262	324	13	medium	medium	NOUN
cana-4262	324	14	.	.	PUNCT
cana-4262	324	15	"	"	PUNCT
cana-4262	325	1	international	international	ADJ
cana-4262	325	2	journal	journal	NOUN
cana-4262	325	3	of	of	ADP
cana-4262	325	4	numerical	numerical	ADJ
cana-4262	325	5	methods	method	NOUN
cana-4262	325	6	for	for	ADP
cana-4262	325	7	heat	heat	NOUN
cana-4262	325	8	&	&	CCONJ
cana-4262	325	9	fluid	fluid	ADJ
cana-4262	325	10	flow	flow	NOUN
cana-4262	325	11	27.1	27.1	NUM
cana-4262	325	12	(	(	PUNCT
cana-4262	325	13	2017	2017	NUM
cana-4262	325	14	):	):	PUNCT
cana-4262	325	15	156	156	NUM
cana-4262	325	16	-	-	SYM
cana-4262	325	17	173	173	NUM
cana-4262	325	18	.	.	NOUN
cana-4262	326	1	9	9	NUM
cana-4262	326	2	.	.	X
cana-4262	326	3	jat	jat	PROPN
cana-4262	326	4	,	,	PUNCT
cana-4262	326	5	kavita	kavita	PROPN
cana-4262	326	6	,	,	PUNCT
cana-4262	326	7	et	et	PROPN
cana-4262	326	8	al	al	PROPN
cana-4262	326	9	.	.	PUNCT
cana-4262	327	1	"	"	PUNCT
cana-4262	327	2	significance	significance	NOUN
cana-4262	327	3	of	of	ADP
cana-4262	327	4	darcy	darcy	PROPN
cana-4262	327	5	–	–	PUNCT
cana-4262	327	6	forchheimer	forchheimer	PROPN
cana-4262	327	7	casson	casson	PROPN
cana-4262	327	8	fluid	fluid	NOUN
cana-4262	327	9	flow	flow	NOUN
cana-4262	327	10	past	past	ADP
cana-4262	327	11	a	a	DET
cana-4262	327	12	non	non	ADJ
cana-4262	327	13	-	-	ADJ
cana-4262	327	14	permeable	permeable	ADJ
cana-4262	327	15	curved	curved	ADJ
cana-4262	327	16	stretching	stretch	VERB
cana-4262	327	17	sheet	sheet	NOUN
cana-4262	327	18	with	with	ADP
cana-4262	327	19	the	the	DET
cana-4262	327	20	impacts	impact	NOUN
cana-4262	327	21	of	of	ADP
cana-4262	327	22	heat	heat	NOUN
cana-4262	327	23	and	and	CCONJ
cana-4262	327	24	mass	mass	NOUN
cana-4262	327	25	transfer	transfer	NOUN
cana-4262	327	26	.	.	PUNCT
cana-4262	327	27	"	"	PUNCT
cana-4262	328	1	case	case	NOUN
cana-4262	328	2	studies	study	NOUN
cana-4262	328	3	in	in	ADP
cana-4262	328	4	thermal	thermal	ADJ
cana-4262	328	5	engineering	engineering	NOUN
cana-4262	328	6	61	61	NUM
cana-4262	328	7	(	(	PUNCT
cana-4262	328	8	2024	2024	NUM
cana-4262	328	9	):	):	PUNCT
cana-4262	328	10	104907	104907	NUM
cana-4262	328	11	.	.	PUNCT
cana-4262	329	1	10	10	NUM
cana-4262	329	2	.	.	X
cana-4262	329	3	waheed	waheed	PROPN
cana-4262	329	4	,	,	PUNCT
cana-4262	329	5	shimaa	shimaa	PROPN
cana-4262	329	6	e.	e.	PROPN
cana-4262	329	7	,	,	PUNCT
cana-4262	329	8	galal	galal	PROPN
cana-4262	329	9	m.	m.	PROPN
cana-4262	329	10	moatimid	moatimid	PROPN
cana-4262	329	11	,	,	PUNCT
cana-4262	329	12	and	and	CCONJ
cana-4262	329	13	abeer	abeer	PROPN
cana-4262	329	14	s.	s.	PROPN
cana-4262	329	15	elfeshawey	elfeshawey	PROPN
cana-4262	329	16	.	.	PUNCT
cana-4262	330	1	"	"	PUNCT
cana-4262	330	2	unsteady	unsteady	ADJ
cana-4262	330	3	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	330	4	squeezing	squeeze	VERB
cana-4262	330	5	darcy	darcy	NOUN
cana-4262	330	6	-	-	PUNCT
cana-4262	330	7	forchheimer	forchheimer	ADJ
cana-4262	330	8	flow	flow	NOUN
cana-4262	330	9	of	of	ADP
cana-4262	330	10	fe3o4	fe3o4	PROPN
cana-4262	330	11	casson	casson	NOUN
cana-4262	330	12	nanofluid	nanofluid	NOUN
cana-4262	330	13	:	:	PUNCT
cana-4262	330	14	impact	impact	NOUN
cana-4262	330	15	of	of	ADP
cana-4262	330	16	heat	heat	NOUN
cana-4262	330	17	source	source	NOUN
cana-4262	330	18	/	/	SYM
cana-4262	330	19	sink	sink	NOUN
cana-4262	330	20	and	and	CCONJ
cana-4262	330	21	thermal	thermal	ADJ
cana-4262	330	22	radiation	radiation	NOUN
cana-4262	330	23	.	.	PUNCT
cana-4262	330	24	"	"	PUNCT
cana-4262	331	1	partial	partial	ADJ
cana-4262	331	2	differential	differential	NOUN
cana-4262	331	3	equations	equation	NOUN
cana-4262	331	4	in	in	ADP
cana-4262	331	5	applied	applied	ADJ
cana-4262	331	6	mathematics	mathematic	NOUN
cana-4262	331	7	10	10	NUM
cana-4262	331	8	(	(	PUNCT
cana-4262	331	9	2024	2024	NUM
cana-4262	331	10	):	):	PUNCT
cana-4262	331	11	100666	100666	NUM
cana-4262	331	12	.	.	PUNCT
cana-4262	332	1	11	11	NUM
cana-4262	332	2	.	.	PUNCT
cana-4262	332	3	sharma	sharma	PROPN
cana-4262	332	4	,	,	PUNCT
cana-4262	332	5	kushal	kushal	PROPN
cana-4262	332	6	,	,	PUNCT
cana-4262	332	7	et	et	PROPN
cana-4262	332	8	al	al	PROPN
cana-4262	332	9	.	.	PUNCT
cana-4262	333	1	"	"	PUNCT
cana-4262	333	2	dynamics	dynamic	NOUN
cana-4262	333	3	of	of	ADP
cana-4262	333	4	mhd	mhd	PROPN
cana-4262	333	5	casson	casson	PROPN
cana-4262	333	6	fluid	fluid	NOUN
cana-4262	333	7	in	in	ADP
cana-4262	333	8	non	non	ADJ
cana-4262	333	9	-	-	ADJ
cana-4262	333	10	darcy	darcy	ADJ
cana-4262	333	11	porous	porous	ADJ
cana-4262	333	12	medium	medium	NOUN
cana-4262	333	13	:	:	PUNCT
cana-4262	333	14	the	the	DET
cana-4262	333	15	impact	impact	NOUN
cana-4262	333	16	of	of	ADP
cana-4262	333	17	thermal	thermal	ADJ
cana-4262	333	18	radiation	radiation	NOUN
cana-4262	333	19	,	,	PUNCT
cana-4262	333	20	dufour	dufour	PROPN
cana-4262	333	21	–	–	PUNCT
cana-4262	333	22	soret	soret	PROPN
cana-4262	333	23	,	,	PUNCT
cana-4262	333	24	and	and	CCONJ
cana-4262	333	25	chemical	chemical	NOUN
cana-4262	333	26	reaction	reaction	NOUN
cana-4262	333	27	.	.	PUNCT
cana-4262	333	28	"	"	PUNCT
cana-4262	334	1	modern	modern	ADJ
cana-4262	334	2	physics	physics	NOUN
cana-4262	334	3	letters	letter	NOUN
cana-4262	334	4	b	b	PROPN
cana-4262	334	5	38.16	38.16	NUM
cana-4262	334	6	(	(	PUNCT
cana-4262	334	7	2024	2024	NUM
cana-4262	334	8	):	):	PUNCT
cana-4262	334	9	2341007	2341007	NUM
cana-4262	334	10	.	.	PUNCT
cana-4262	335	1	12	12	NUM
cana-4262	335	2	.	.	PUNCT
cana-4262	335	3	ragupathi	ragupathi	NOUN
cana-4262	335	4	,	,	PUNCT
cana-4262	335	5	p.	p.	PROPN
cana-4262	335	6	,	,	PUNCT
cana-4262	335	7	et	et	PROPN
cana-4262	335	8	al	al	PROPN
cana-4262	335	9	.	.	PUNCT
cana-4262	336	1	"	"	PUNCT
cana-4262	336	2	application	application	NOUN
cana-4262	336	3	of	of	ADP
cana-4262	336	4	arrhenius	arrhenius	PROPN
cana-4262	336	5	kinetics	kinetic	NOUN
cana-4262	336	6	on	on	ADP
cana-4262	336	7	mhd	mhd	PROPN
cana-4262	336	8	radiative	radiative	PROPN
cana-4262	336	9	von	von	PROPN
cana-4262	336	10	kármán	kármán	PROPN
cana-4262	336	11	casson	casson	PROPN
cana-4262	336	12	nanofluid	nanofluid	PROPN
cana-4262	336	13	flow	flow	NOUN
cana-4262	336	14	occurring	occur	VERB
cana-4262	336	15	in	in	ADP
cana-4262	336	16	a	a	DET
cana-4262	336	17	darcy	darcy	NOUN
cana-4262	336	18	-	-	PUNCT
cana-4262	336	19	forchheimer	forchheimer	ADJ
cana-4262	336	20	porous	porous	ADJ
cana-4262	336	21	medium	medium	NOUN
cana-4262	336	22	in	in	ADP
cana-4262	336	23	the	the	DET
cana-4262	336	24	presence	presence	NOUN
cana-4262	336	25	of	of	ADP
cana-4262	336	26	an	an	DET
cana-4262	336	27	adjustable	adjustable	ADJ
cana-4262	336	28	heat	heat	NOUN
cana-4262	336	29	source	source	NOUN
cana-4262	336	30	.	.	PUNCT
cana-4262	336	31	"	"	PUNCT
cana-4262	337	1	physica	physica	PROPN
cana-4262	337	2	scripta	scripta	NOUN
cana-4262	337	3	96.12	96.12	NUM
cana-4262	337	4	(	(	PUNCT
cana-4262	337	5	2021	2021	NUM
cana-4262	337	6	):	):	PUNCT
cana-4262	337	7	125228	125228	NUM
cana-4262	337	8	.	.	PUNCT
cana-4262	338	1	13	13	NUM
cana-4262	338	2	.	.	PUNCT
cana-4262	339	1	li	li	PROPN
cana-4262	339	2	,	,	PUNCT
cana-4262	339	3	shuguang	shuguang	PROPN
cana-4262	339	4	,	,	PUNCT
cana-4262	339	5	et	et	PROPN
cana-4262	339	6	al	al	PROPN
cana-4262	339	7	.	.	PUNCT
cana-4262	340	1	"	"	PUNCT
cana-4262	340	2	effects	effect	NOUN
cana-4262	340	3	of	of	ADP
cana-4262	340	4	activation	activation	NOUN
cana-4262	340	5	energy	energy	NOUN
cana-4262	340	6	and	and	CCONJ
cana-4262	340	7	chemical	chemical	NOUN
cana-4262	340	8	reaction	reaction	NOUN
cana-4262	340	9	on	on	ADP
cana-4262	340	10	unsteady	unsteady	ADJ
cana-4262	340	11	mhd	mhd	PROPN
cana-4262	340	12	dissipative	dissipative	ADJ
cana-4262	340	13	darcy	darcy	PROPN
cana-4262	340	14	–	–	PUNCT
cana-4262	340	15	forchheimer	forchheimer	PROPN
cana-4262	340	16	squeezed	squeeze	VERB
cana-4262	340	17	flow	flow	NOUN
cana-4262	340	18	of	of	ADP
cana-4262	340	19	casson	casson	PROPN
cana-4262	340	20	fluid	fluid	NOUN
cana-4262	340	21	over	over	ADP
cana-4262	340	22	horizontal	horizontal	ADJ
cana-4262	340	23	channel	channel	NOUN
cana-4262	340	24	.	.	PUNCT
cana-4262	340	25	"	"	PUNCT
cana-4262	341	1	scientific	scientific	ADJ
cana-4262	341	2	reports	report	NOUN
cana-4262	341	3	13.1	13.1	NUM
cana-4262	341	4	(	(	PUNCT
cana-4262	341	5	2023	2023	NUM
cana-4262	341	6	):	):	PUNCT
cana-4262	341	7	2666	2666	NUM
cana-4262	341	8	.	.	PUNCT
cana-4262	342	1	14	14	NUM
cana-4262	342	2	.	.	PUNCT
cana-4262	343	1	faisal	faisal	PROPN
cana-4262	343	2	,	,	PUNCT
cana-4262	343	3	muhammad	muhammad	PROPN
cana-4262	343	4	,	,	PUNCT
cana-4262	343	5	iftikhar	iftikhar	PROPN
cana-4262	343	6	ahmad	ahmad	PROPN
cana-4262	343	7	,	,	PUNCT
cana-4262	343	8	and	and	CCONJ
cana-4262	343	9	tariq	tariq	PROPN
cana-4262	343	10	javed	javed	PROPN
cana-4262	343	11	.	.	PUNCT
cana-4262	344	1	"	"	PUNCT
cana-4262	344	2	numerical	numerical	ADJ
cana-4262	344	3	assessments	assessment	NOUN
cana-4262	344	4	of	of	ADP
cana-4262	344	5	prescribed	prescribed	ADJ
cana-4262	344	6	heat	heat	NOUN
cana-4262	344	7	sources	source	NOUN
cana-4262	344	8	on	on	ADP
cana-4262	344	9	unsteady	unsteady	ADJ
cana-4262	344	10	3d	3d	NUM
cana-4262	344	11	flow	flow	NOUN
cana-4262	344	12	of	of	ADP
cana-4262	344	13	williamson	williamson	PROPN
cana-4262	344	14	nanoliquid	nanoliquid	PROPN
cana-4262	344	15	through	through	ADP
cana-4262	344	16	porous	porous	ADJ
cana-4262	344	17	media	medium	NOUN
cana-4262	344	18	.	.	PUNCT
cana-4262	344	19	"	"	PUNCT
cana-4262	345	1	special	special	ADJ
cana-4262	345	2	topics	topic	NOUN
cana-4262	345	3	&	&	CCONJ
cana-4262	345	4	reviews	review	NOUN
cana-4262	345	5	in	in	ADP
cana-4262	345	6	porous	porous	ADJ
cana-4262	345	7	media	medium	NOUN
cana-4262	345	8	:	:	PUNCT
cana-4262	345	9	an	an	DET
cana-4262	345	10	international	international	ADJ
cana-4262	345	11	journal	journal	NOUN
cana-4262	345	12	12.2	12.2	NUM
cana-4262	345	13	(	(	PUNCT
cana-4262	345	14	2021	2021	NUM
cana-4262	345	15	)	)	PUNCT
cana-4262	345	16	.	.	PUNCT
cana-4262	346	1	15	15	X
cana-4262	346	2	.	.	X
cana-4262	346	3	tufail	tufail	PROPN
cana-4262	346	4	,	,	PUNCT
cana-4262	346	5	muhammad	muhammad	PROPN
cana-4262	346	6	nazim	nazim	PROPN
cana-4262	346	7	,	,	PUNCT
cana-4262	346	8	musharafa	musharafa	PROPN
cana-4262	346	9	saleem	saleem	PROPN
cana-4262	346	10	,	,	PUNCT
cana-4262	346	11	and	and	CCONJ
cana-4262	346	12	qasim	qasim	PROPN
cana-4262	346	13	ali	ali	PROPN
cana-4262	346	14	chaudhry	chaudhry	PROPN
cana-4262	346	15	.	.	PUNCT
cana-4262	347	1	"	"	PUNCT
cana-4262	347	2	chemically	chemically	ADV
cana-4262	347	3	reacting	react	VERB
cana-4262	347	4	mixed	mixed	ADJ
cana-4262	347	5	convective	convective	ADJ
cana-4262	347	6	casson	casson	NOUN
cana-4262	347	7	fluid	fluid	NOUN
cana-4262	347	8	flow	flow	NOUN
cana-4262	347	9	in	in	ADP
cana-4262	347	10	the	the	DET
cana-4262	347	11	presence	presence	NOUN
cana-4262	347	12	of	of	ADP
cana-4262	347	13	mhd	mhd	NOUN
cana-4262	347	14	and	and	CCONJ
cana-4262	347	15	porous	porous	ADJ
cana-4262	347	16	medium	medium	NOUN
cana-4262	347	17	through	through	ADP
cana-4262	347	18	group	group	NOUN
cana-4262	347	19	theoretical	theoretical	ADJ
cana-4262	347	20	analysis	analysis	NOUN
cana-4262	347	21	.	.	PUNCT
cana-4262	347	22	"	"	PUNCT
cana-4262	347	23	heat	heat	NOUN
cana-4262	347	24	transfer	transfer	NOUN
cana-4262	347	25	49.8	49.8	NUM
cana-4262	347	26	(	(	PUNCT
cana-4262	347	27	2020	2020	NUM
cana-4262	347	28	):	):	PUNCT
cana-4262	347	29	4657	4657	NUM
cana-4262	347	30	-	-	SYM
cana-4262	347	31	4677	4677	NUM
cana-4262	347	32	.	.	PUNCT
cana-4262	348	1	16	16	NUM
cana-4262	348	2	.	.	PUNCT
cana-4262	349	1	mohamed	mohamed	PROPN
cana-4262	349	2	,	,	PUNCT
cana-4262	349	3	r.	r.	PROPN
cana-4262	349	4	a.	a.	PROPN
cana-4262	349	5	,	,	PUNCT
cana-4262	349	6	et	et	PROPN
cana-4262	349	7	al	al	PROPN
cana-4262	349	8	.	.	PUNCT
cana-4262	350	1	"	"	PUNCT
cana-4262	350	2	mhd	mhd	PROPN
cana-4262	350	3	casson	casson	PROPN
cana-4262	350	4	nanofluid	nanofluid	PROPN
cana-4262	350	5	flow	flow	NOUN
cana-4262	350	6	over	over	ADP
cana-4262	350	7	a	a	DET
cana-4262	350	8	stretching	stretch	VERB
cana-4262	350	9	surface	surface	NOUN
cana-4262	350	10	embedded	embed	VERB
cana-4262	350	11	in	in	ADP
cana-4262	350	12	a	a	DET
cana-4262	350	13	porous	porous	ADJ
cana-4262	350	14	medium	medium	NOUN
cana-4262	350	15	:	:	PUNCT
cana-4262	350	16	effects	effect	NOUN
cana-4262	350	17	of	of	ADP
cana-4262	350	18	thermal	thermal	ADJ
cana-4262	350	19	radiation	radiation	NOUN
cana-4262	350	20	and	and	CCONJ
cana-4262	350	21	slip	slip	NOUN
cana-4262	350	22	conditions	condition	NOUN
cana-4262	350	23	.	.	PUNCT
cana-4262	350	24	"	"	PUNCT
cana-4262	351	1	latin	latin	PROPN
cana-4262	351	2	am	am	PROPN
cana-4262	351	3	.	.	PUNCT
cana-4262	352	1	appl	appl	PROPN
cana-4262	352	2	.	.	PUNCT
cana-4262	353	1	res	re	NOUN
cana-4262	353	2	51	51	NUM
cana-4262	353	3	(	(	PUNCT
cana-4262	353	4	2021	2021	NUM
cana-4262	353	5	):	):	PUNCT
cana-4262	353	6	229	229	NUM
cana-4262	353	7	-	-	SYM
cana-4262	353	8	239	239	NUM
cana-4262	353	9	.	.	PUNCT
cana-4262	353	10	17	17	NUM
cana-4262	353	11	.	.	PUNCT
cana-4262	354	1	ramesh	ramesh	PROPN
cana-4262	354	2	,	,	PUNCT
cana-4262	354	3	gosikere	gosikere	PROPN
cana-4262	354	4	kenchappa	kenchappa	PROPN
cana-4262	354	5	.	.	PUNCT
cana-4262	355	1	"	"	PUNCT
cana-4262	355	2	darcy	darcy	PROPN
cana-4262	355	3	-	-	PUNCT
cana-4262	355	4	forchheimer	forchheimer	PROPN
cana-4262	355	5	flow	flow	NOUN
cana-4262	355	6	of	of	ADP
cana-4262	355	7	casson	casson	PROPN
cana-4262	355	8	nanofluid	nanofluid	PROPN
cana-4262	355	9	with	with	ADP
cana-4262	355	10	heat	heat	PROPN
cana-4262	355	11	source	source	NOUN
cana-4262	355	12	/	/	SYM
cana-4262	355	13	sink	sink	NOUN
cana-4262	355	14	:	:	PUNCT
cana-4262	355	15	a	a	DET
cana-4262	355	16	three	three	NUM
cana-4262	355	17	-	-	PUNCT
cana-4262	355	18	dimensional	dimensional	ADJ
cana-4262	355	19	study	study	NOUN
cana-4262	355	20	.	.	PUNCT
cana-4262	355	21	"	"	PUNCT
cana-4262	355	22	heat	heat	NOUN
cana-4262	355	23	and	and	CCONJ
cana-4262	355	24	mass	mass	NOUN
cana-4262	355	25	transfer	transfer	NOUN
cana-4262	355	26	-	-	PUNCT
cana-4262	355	27	advances	advance	NOUN
cana-4262	355	28	in	in	ADP
cana-4262	355	29	modelling	modelling	NOUN
cana-4262	355	30	and	and	CCONJ
cana-4262	355	31	experimental	experimental	ADJ
cana-4262	355	32	study	study	NOUN
cana-4262	355	33	for	for	ADP
cana-4262	355	34	industrial	industrial	ADJ
cana-4262	355	35	applications	application	NOUN
cana-4262	355	36	,	,	PUNCT
cana-4262	355	37	london	london	PROPN
cana-4262	355	38	:	:	PUNCT
cana-4262	355	39	intech	intech	PROPN
cana-4262	355	40	open	open	PROPN
cana-4262	355	41	(	(	PUNCT
cana-4262	355	42	2018	2018	NUM
cana-4262	355	43	):	):	PUNCT
cana-4262	355	44	43	43	NUM
cana-4262	355	45	-	-	SYM
cana-4262	355	46	62	62	NUM
cana-4262	355	47	.	.	PUNCT
cana-4262	355	48	18	18	NUM
cana-4262	355	49	.	.	PUNCT
cana-4262	355	50	abbas	abbas	PROPN
cana-4262	355	51	,	,	PUNCT
cana-4262	355	52	amir	amir	PROPN
cana-4262	355	53	,	,	PUNCT
cana-4262	355	54	mdi	mdi	PROPN
cana-4262	355	55	begum	begum	PROPN
cana-4262	355	56	jeelani	jeelani	ADJ
cana-4262	355	57	,	,	PUNCT
cana-4262	355	58	and	and	CCONJ
cana-4262	355	59	nadiyah	nadiyah	PROPN
cana-4262	355	60	hussain	hussain	PROPN
cana-4262	355	61	alharthi	alharthi	PROPN
cana-4262	355	62	.	.	PUNCT
cana-4262	356	1	"	"	PUNCT
cana-4262	356	2	darcy	darcy	PROPN
cana-4262	356	3	–	–	PUNCT
cana-4262	356	4	forchheimer	forchheimer	NOUN
cana-4262	356	5	relation	relation	NOUN
cana-4262	356	6	influence	influence	NOUN
cana-4262	356	7	on	on	ADP
cana-4262	356	8	mhd	mhd	PROPN
cana-4262	356	9	dissipative	dissipative	ADJ
cana-4262	356	10	third	third	ADJ
cana-4262	356	11	-	-	PUNCT
cana-4262	356	12	grade	grade	NOUN
cana-4262	356	13	fluid	fluid	NOUN
cana-4262	356	14	flow	flow	NOUN
cana-4262	356	15	and	and	CCONJ
cana-4262	356	16	heat	heat	NOUN
cana-4262	356	17	transfer	transfer	NOUN
cana-4262	356	18	in	in	ADP
cana-4262	356	19	porous	porous	ADJ
cana-4262	356	20	medium	medium	NOUN
cana-4262	356	21	with	with	ADP
cana-4262	356	22	joule	joule	NOUN
cana-4262	356	23	heating	heating	NOUN
cana-4262	356	24	effects	effect	NOUN
cana-4262	356	25	:	:	PUNCT
cana-4262	356	26	a	a	DET
cana-4262	356	27	numerical	numerical	ADJ
cana-4262	356	28	approach	approach	NOUN
cana-4262	356	29	.	.	PUNCT
cana-4262	356	30	"	"	PUNCT
cana-4262	356	31	processes	process	VERB
cana-4262	356	32	10.5	10.5	NUM
cana-4262	356	33	(	(	PUNCT
cana-4262	356	34	2022	2022	NUM
cana-4262	356	35	):	):	PUNCT
cana-4262	356	36	906	906	NUM
cana-4262	356	37	.	.	NOUN
cana-4262	356	38	19	19	NUM
cana-4262	356	39	.	.	PUNCT
cana-4262	356	40	kala	kala	PROPN
cana-4262	356	41	,	,	PUNCT
cana-4262	356	42	bhim	bhim	PROPN
cana-4262	356	43	sen	sen	PROPN
cana-4262	356	44	.	.	PUNCT
cana-4262	357	1	"	"	PUNCT
cana-4262	357	2	the	the	DET
cana-4262	357	3	numerical	numerical	ADJ
cana-4262	357	4	investigation	investigation	NOUN
cana-4262	357	5	of	of	ADP
cana-4262	357	6	effects	effect	NOUN
cana-4262	357	7	of	of	ADP
cana-4262	357	8	darcy	darcy	PROPN
cana-4262	357	9	and	and	CCONJ
cana-4262	357	10	forchheimer	forchheimer	ADJ
cana-4262	357	11	parameters	parameter	NOUN
cana-4262	357	12	on	on	ADP
cana-4262	357	13	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4262	357	14	casson	casson	PROPN
cana-4262	357	15	fluid	fluid	NOUN
cana-4262	357	16	flow	flow	NOUN
cana-4262	357	17	through	through	ADP
cana-4262	357	18	non	non	ADJ
cana-4262	357	19	-	-	ADJ
cana-4262	357	20	darcy	darcy	ADJ
cana-4262	357	21	porous	porous	ADJ
cana-4262	357	22	media	medium	NOUN
cana-4262	357	23	.	.	PUNCT
cana-4262	357	24	"	"	PUNCT
cana-4262	358	1	international	international	ADJ
cana-4262	358	2	journal	journal	NOUN
cana-4262	358	3	of	of	ADP
cana-4262	358	4	mathematics	mathematics	NOUN
cana-4262	358	5	trends	trend	NOUN
cana-4262	358	6	and	and	CCONJ
cana-4262	358	7	technology	technology	NOUN
cana-4262	358	8	-	-	PUNCT
cana-4262	358	9	ijmtt	ijmtt	ADJ
cana-4262	358	10	40	40	NUM
cana-4262	358	11	(	(	PUNCT
cana-4262	358	12	2016	2016	NUM
cana-4262	358	13	)	)	PUNCT
cana-4262	358	14	.	.	PUNCT
cana-4262	359	1	20	20	NUM
cana-4262	359	2	.	.	X
cana-4262	359	3	eid	eid	PROPN
cana-4262	359	4	,	,	PUNCT
cana-4262	359	5	mohamed	mohamed	PROPN
cana-4262	359	6	r.	r.	PROPN
cana-4262	360	1	"	"	PUNCT
cana-4262	360	2	thermal	thermal	ADJ
cana-4262	360	3	characteristics	characteristic	NOUN
cana-4262	360	4	of	of	ADP
cana-4262	360	5	3d	3d	NUM
cana-4262	360	6	nanofluid	nanofluid	PROPN
cana-4262	360	7	flow	flow	NOUN
cana-4262	360	8	over	over	ADP
cana-4262	360	9	a	a	DET
cana-4262	360	10	convectively	convectively	ADV
cana-4262	360	11	heated	heat	VERB
cana-4262	360	12	riga	riga	PROPN
cana-4262	360	13	surface	surface	NOUN
cana-4262	360	14	in	in	ADP
cana-4262	360	15	a	a	DET
cana-4262	360	16	darcy	darcy	NOUN
cana-4262	360	17	–	–	PUNCT
cana-4262	360	18	forchheimer	forchheimer	ADJ
cana-4262	360	19	porous	porous	ADJ
cana-4262	360	20	material	material	NOUN
cana-4262	360	21	with	with	ADP
cana-4262	360	22	linear	linear	ADJ
cana-4262	360	23	thermal	thermal	ADJ
cana-4262	360	24	radiation	radiation	NOUN
cana-4262	360	25	:	:	PUNCT
cana-4262	360	26	an	an	DET
cana-4262	360	27	optimal	optimal	ADJ
cana-4262	360	28	analysis	analysis	NOUN
cana-4262	360	29	.	.	PUNCT
cana-4262	360	30	"	"	PUNCT
cana-4262	361	1	arabian	arabian	ADJ
cana-4262	361	2	journal	journal	NOUN
cana-4262	361	3	for	for	ADP
cana-4262	361	4	science	science	NOUN
cana-4262	361	5	and	and	CCONJ
cana-4262	361	6	engineering	engineering	NOUN
cana-4262	361	7	45.11	45.11	NUM
cana-4262	361	8	(	(	PUNCT
cana-4262	361	9	2020	2020	NUM
cana-4262	361	10	):	):	PUNCT
cana-4262	361	11	9803	9803	NUM
cana-4262	361	12	-	-	SYM
cana-4262	361	13	9814	9814	NUM
cana-4262	361	14	.	.	PUNCT
cana-4262	362	1	21	21	NUM
cana-4262	362	2	.	.	X
cana-4262	363	1	shampine	shampine	PROPN
cana-4262	363	2	,	,	PUNCT
cana-4262	363	3	lawrence	lawrence	PROPN
cana-4262	363	4	f.	f.	PROPN
cana-4262	363	5	,	,	PUNCT
cana-4262	363	6	jacek	jacek	PROPN
cana-4262	363	7	kierzenka	kierzenka	PROPN
cana-4262	363	8	,	,	PUNCT
cana-4262	363	9	and	and	CCONJ
cana-4262	363	10	mark	mark	PROPN
cana-4262	363	11	w.	w.	PROPN
cana-4262	363	12	reichelt	reichelt	PROPN
cana-4262	363	13	.	.	PUNCT
cana-4262	364	1	"	"	PUNCT
cana-4262	364	2	solving	solve	VERB
cana-4262	364	3	boundary	boundary	ADJ
cana-4262	364	4	value	value	NOUN
cana-4262	364	5	problems	problem	NOUN
cana-4262	364	6	for	for	ADP
cana-4262	364	7	ordinary	ordinary	ADJ
cana-4262	364	8	differential	differential	ADJ
cana-4262	364	9	equations	equation	NOUN
cana-4262	364	10	in	in	ADP
cana-4262	364	11	matlab	matlab	PROPN
cana-4262	364	12	with	with	ADP
cana-4262	364	13	bvp4c	bvp4c	PROPN
cana-4262	364	14	.	.	PUNCT
cana-4262	364	15	"	"	PUNCT
cana-4262	365	1	tutorial	tutorial	ADJ
cana-4262	365	2	notes	note	NOUN
cana-4262	365	3	2000	2000	NUM
cana-4262	365	4	(	(	PUNCT
cana-4262	365	5	2000	2000	NUM
cana-4262	365	6	):	):	PUNCT
cana-4262	365	7	1	1	NUM
cana-4262	365	8	-	-	SYM
cana-4262	365	9	27	27	NUM
cana-4262	365	10	.	.	PUNCT
cana-4262	366	1	communications	communication	NOUN
cana-4262	366	2	on	on	ADP
cana-4262	366	3	applied	apply	VERB
cana-4262	366	4	nonlinear	nonlinear	ADJ
cana-4262	366	5	analysis	analysis	NOUN
cana-4262	366	6	issn	issn	NOUN
cana-4262	366	7	:	:	PUNCT
cana-4262	366	8	1074	1074	NUM
cana-4262	366	9	-	-	PUNCT
cana-4262	366	10	133x	133x	NUM
cana-4262	366	11	vol	vol	NOUN
cana-4262	366	12	32	32	NUM
cana-4262	366	13	no	no	NOUN
cana-4262	366	14	.	.	PUNCT
cana-4262	367	1	9s	9s	NUM
cana-4262	367	2	(	(	PUNCT
cana-4262	367	3	2025	2025	NUM
cana-4262	367	4	)	)	PUNCT
cana-4262	367	5	1676	1676	NUM
cana-4262	367	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4262	367	7	22	22	NUM
cana-4262	367	8	.	.	PUNCT
cana-4262	368	1	devi	devi	PROPN
cana-4262	368	2	,	,	PUNCT
cana-4262	368	3	rekha	rekha	NOUN
cana-4262	368	4	,	,	PUNCT
cana-4262	368	5	and	and	CCONJ
cana-4262	368	6	shilpa	shilpa	PROPN
cana-4262	368	7	sood	sood	PROPN
cana-4262	368	8	.	.	PUNCT
cana-4262	369	1	"	"	PUNCT
cana-4262	369	2	convective	convective	ADJ
cana-4262	369	3	mhd	mhd	NOUN
cana-4262	369	4	flow	flow	NOUN
cana-4262	369	5	of	of	ADP
cana-4262	369	6	casson	casson	PROPN
cana-4262	369	7	fluid	fluid	NOUN
cana-4262	369	8	through	through	ADP
cana-4262	369	9	porous	porous	ADJ
cana-4262	369	10	medium	medium	NOUN
cana-4262	369	11	using	use	VERB
cana-4262	369	12	the	the	DET
cana-4262	369	13	darcy‐forchheimer	darcy‐forchheimer	ADJ
cana-4262	369	14	model	model	NOUN
cana-4262	369	15	under	under	ADP
cana-4262	369	16	the	the	DET
cana-4262	369	17	impact	impact	NOUN
cana-4262	369	18	of	of	ADP
cana-4262	369	19	prescribed	prescribed	ADJ
cana-4262	369	20	heat	heat	NOUN
cana-4262	369	21	sources	source	NOUN
cana-4262	369	22	.	.	PUNCT
cana-4262	369	23	"	"	PUNCT
cana-4262	370	1	zamm‐journal	zamm‐journal	ADJ
cana-4262	370	2	of	of	ADP
cana-4262	370	3	applied	apply	VERB
cana-4262	370	4	mathematics	mathematic	NOUN
cana-4262	370	5	and	and	CCONJ
cana-4262	370	6	mechanics	mechanic	NOUN
cana-4262	370	7	/	/	SYM
cana-4262	370	8	zeitschrift	zeitschrift	PROPN
cana-4262	370	9	für	für	PROPN
cana-4262	370	10	angewandte	angewandte	PROPN
cana-4262	370	11	mathematik	mathematik	PROPN
cana-4262	370	12	und	und	PROPN
cana-4262	370	13	mechanik	mechanik	X
cana-4262	370	14	(	(	PUNCT
cana-4262	370	15	2024	2024	NUM
cana-4262	370	16	):	):	PUNCT
cana-4262	370	17	e202300344	e202300344	NOUN
cana-4262	370	18	.	.	PUNCT
cana-4262	370	19	23	23	NUM
cana-4262	370	20	.	.	PUNCT
cana-4262	371	1	mustafa	mustafa	PROPN
cana-4262	371	2	,	,	PUNCT
cana-4262	371	3	m.	m.	NOUN
cana-4262	371	4	,	,	PUNCT
cana-4262	371	5	et	et	PROPN
cana-4262	371	6	al	al	PROPN
cana-4262	371	7	.	.	PUNCT
cana-4262	372	1	"	"	PUNCT
cana-4262	372	2	unsteady	unsteady	ADJ
cana-4262	372	3	boundary	boundary	ADJ
cana-4262	372	4	layer	layer	NOUN
cana-4262	372	5	flow	flow	NOUN
cana-4262	372	6	of	of	ADP
cana-4262	372	7	a	a	DET
cana-4262	372	8	casson	casson	PROPN
cana-4262	372	9	fluid	fluid	NOUN
cana-4262	372	10	due	due	ADP
cana-4262	372	11	to	to	ADP
cana-4262	372	12	an	an	DET
cana-4262	372	13	impulsively	impulsively	ADV
cana-4262	372	14	started	start	VERB
cana-4262	372	15	moving	move	VERB
cana-4262	372	16	flat	flat	ADJ
cana-4262	372	17	plate	plate	NOUN
cana-4262	372	18	.	.	PUNCT
cana-4262	372	19	"	"	PUNCT
cana-4262	373	1	heat	heat	NOUN
cana-4262	373	2	transfer	transfer	NOUN
cana-4262	373	3	—	—	PUNCT
cana-4262	373	4	asian	asian	ADJ
cana-4262	373	5	research	research	NOUN
cana-4262	373	6	40.6	40.6	NUM
cana-4262	373	7	(	(	PUNCT
cana-4262	373	8	2011	2011	NUM
cana-4262	373	9	):	):	PUNCT
cana-4262	373	10	563	563	NUM
cana-4262	373	11	-	-	SYM
cana-4262	373	12	576	576	NUM
cana-4262	373	13	.	.	PUNCT
cana-4262	374	1	24	24	NUM
cana-4262	374	2	.	.	PUNCT
cana-4262	374	3	eldabe	eldabe	PROPN
cana-4262	374	4	,	,	PUNCT
cana-4262	374	5	nabil	nabil	PROPN
cana-4262	374	6	tm	tm	PROPN
cana-4262	374	7	,	,	PUNCT
cana-4262	374	8	g.	g.	PROPN
cana-4262	374	9	saddeck	saddeck	PROPN
cana-4262	374	10	,	,	PUNCT
cana-4262	374	11	and	and	CCONJ
cana-4262	374	12	a.	a.	PROPN
cana-4262	374	13	f.	f.	PROPN
cana-4262	374	14	el	el	PROPN
cana-4262	374	15	-	-	PUNCT
cana-4262	374	16	sayed	say	VERB
cana-4262	374	17	.	.	PUNCT
cana-4262	375	1	"	"	PUNCT
cana-4262	375	2	heat	heat	NOUN
cana-4262	375	3	transfer	transfer	NOUN
cana-4262	375	4	of	of	ADP
cana-4262	375	5	mhd	mhd	NOUN
cana-4262	375	6	non	non	ADJ
cana-4262	375	7	-	-	ADJ
cana-4262	375	8	newtonian	newtonian	ADJ
cana-4262	375	9	casson	casson	PROPN
cana-4262	375	10	fluid	fluid	NOUN
cana-4262	375	11	flow	flow	NOUN
cana-4262	375	12	between	between	ADP
cana-4262	375	13	two	two	NUM
cana-4262	375	14	rotating	rotate	VERB
cana-4262	375	15	cylinders	cylinder	NOUN
cana-4262	375	16	.	.	PUNCT
cana-4262	375	17	"	"	PUNCT
cana-4262	376	1	mechanics	mechanic	NOUN
cana-4262	376	2	and	and	CCONJ
cana-4262	376	3	mechanical	mechanical	ADJ
cana-4262	376	4	engineering	engineering	NOUN
cana-4262	376	5	5.2	5.2	NUM
cana-4262	376	6	(	(	PUNCT
cana-4262	376	7	2001	2001	NUM
cana-4262	376	8	):	):	PUNCT
cana-4262	376	9	237	237	NUM
cana-4262	376	10	-	-	SYM
cana-4262	376	11	251	251	NUM
cana-4262	376	12	.	.	PUNCT
cana-4262	377	1	25	25	NUM
cana-4262	377	2	.	.	PUNCT
cana-4262	377	3	ishak	ishak	PROPN
cana-4262	377	4	,	,	PUNCT
cana-4262	377	5	anuar	anuar	PROPN
cana-4262	377	6	,	,	PUNCT
cana-4262	377	7	roslinda	roslinda	PROPN
cana-4262	377	8	nazar	nazar	NOUN
cana-4262	377	9	,	,	PUNCT
cana-4262	377	10	and	and	CCONJ
cana-4262	377	11	i.	i.	PROPN
cana-4262	377	12	pop	pop	PROPN
cana-4262	377	13	.	.	PUNCT
cana-4262	378	1	"	"	PUNCT
cana-4262	378	2	mixed	mixed	ADJ
cana-4262	378	3	convection	convection	NOUN
cana-4262	378	4	on	on	ADP
cana-4262	378	5	the	the	DET
cana-4262	378	6	stagnation	stagnation	NOUN
cana-4262	378	7	point	point	NOUN
cana-4262	378	8	flow	flow	NOUN
cana-4262	378	9	toward	toward	ADP
cana-4262	378	10	a	a	DET
cana-4262	378	11	vertical	vertical	ADJ
cana-4262	378	12	,	,	PUNCT
cana-4262	378	13	continuously	continuously	ADV
cana-4262	378	14	stretching	stretch	VERB
cana-4262	378	15	sheet	sheet	NOUN
cana-4262	378	16	.	.	PUNCT
cana-4262	378	17	"	"	PUNCT
cana-4262	379	1	(	(	PUNCT
cana-4262	379	2	2007	2007	NUM
cana-4262	379	3	):	):	PUNCT
cana-4262	379	4	1087	1087	NUM
cana-4262	379	5	-	-	SYM
cana-4262	379	6	1090	1090	NUM
cana-4262	379	7	.	.	PUNCT
cana-4262	380	1	26	26	NUM
cana-4262	380	2	.	.	X
cana-4262	380	3	bejawada	bejawada	PROPN
cana-4262	380	4	,	,	PUNCT
cana-4262	380	5	shankar	shankar	PROPN
cana-4262	380	6	goud	goud	PROPN
cana-4262	380	7	,	,	PUNCT
cana-4262	380	8	et	et	PROPN
cana-4262	380	9	al	al	PROPN
cana-4262	380	10	.	.	PUNCT
cana-4262	381	1	"	"	PUNCT
cana-4262	381	2	radiation	radiation	NOUN
cana-4262	381	3	effect	effect	NOUN
cana-4262	381	4	on	on	ADP
cana-4262	381	5	mhd	mhd	PROPN
cana-4262	381	6	casson	casson	PROPN
cana-4262	381	7	fluid	fluid	NOUN
cana-4262	381	8	flow	flow	NOUN
cana-4262	381	9	over	over	ADP
cana-4262	381	10	an	an	DET
cana-4262	381	11	inclined	inclined	ADJ
cana-4262	381	12	non	non	ADJ
cana-4262	381	13	-	-	ADJ
cana-4262	381	14	linear	linear	ADJ
cana-4262	381	15	surface	surface	NOUN
cana-4262	381	16	with	with	ADP
cana-4262	381	17	chemical	chemical	ADJ
cana-4262	381	18	reaction	reaction	NOUN
cana-4262	381	19	in	in	ADP
cana-4262	381	20	a	a	DET
cana-4262	381	21	forchheimer	forchheimer	ADJ
cana-4262	381	22	porous	porous	ADJ
cana-4262	381	23	medium	medium	NOUN
cana-4262	381	24	.	.	PUNCT
cana-4262	381	25	"	"	PUNCT
cana-4262	382	1	alexandria	alexandria	PROPN
cana-4262	382	2	engineering	engineering	PROPN
cana-4262	382	3	journal	journal	PROPN
cana-4262	382	4	61.10	61.10	NUM
cana-4262	382	5	(	(	PUNCT
cana-4262	382	6	2022	2022	NUM
cana-4262	382	7	):	):	PUNCT
cana-4262	382	8	8207	8207	NUM
cana-4262	382	9	-	-	SYM
cana-4262	382	10	8220	8220	NUM
cana-4262	382	11	.	.	PUNCT
cana-4262	383	1	27	27	NUM
cana-4262	383	2	.	.	PUNCT
cana-4262	384	1	thakur	thakur	PROPN
cana-4262	384	2	,	,	PUNCT
cana-4262	384	3	archie	archie	NOUN
cana-4262	384	4	,	,	PUNCT
cana-4262	384	5	and	and	CCONJ
cana-4262	384	6	shilpa	shilpa	PROPN
cana-4262	384	7	sood	sood	PROPN
cana-4262	384	8	.	.	PUNCT
cana-4262	385	1	"	"	PUNCT
cana-4262	385	2	effect	effect	NOUN
cana-4262	385	3	of	of	ADP
cana-4262	385	4	prescribed	prescribed	ADJ
cana-4262	385	5	heat	heat	NOUN
cana-4262	385	6	sources	source	NOUN
cana-4262	385	7	on	on	ADP
cana-4262	385	8	convective	convective	ADJ
cana-4262	385	9	unsteady	unsteady	ADJ
cana-4262	385	10	mhd	mhd	NOUN
cana-4262	385	11	flow	flow	NOUN
cana-4262	385	12	of	of	ADP
cana-4262	385	13	williamson	williamson	PROPN
cana-4262	385	14	nanofluid	nanofluid	PROPN
cana-4262	385	15	through	through	ADP
cana-4262	385	16	porous	porous	ADJ
cana-4262	385	17	media	medium	NOUN
cana-4262	385	18	:	:	PUNCT
cana-4262	385	19	darcy	darcy	PROPN
cana-4262	385	20	–	–	PUNCT
cana-4262	385	21	forchheimer	forchheimer	PROPN
cana-4262	385	22	model	model	NOUN
cana-4262	385	23	.	.	PUNCT
cana-4262	385	24	"	"	PUNCT
cana-4262	386	1	international	international	ADJ
cana-4262	386	2	journal	journal	NOUN
cana-4262	386	3	of	of	ADP
cana-4262	386	4	applied	applied	ADJ
cana-4262	386	5	and	and	CCONJ
cana-4262	386	6	computational	computational	ADJ
cana-4262	386	7	mathematics	mathematic	NOUN
cana-4262	386	8	8.2	8.2	NUM
cana-4262	386	9	(	(	PUNCT
cana-4262	386	10	2022	2022	NUM
cana-4262	386	11	):	):	PUNCT
cana-4262	386	12	74	74	NUM
cana-4262	386	13	.	.	PUNCT
cana-4262	386	14	28	28	NUM
cana-4262	386	15	.	.	X
cana-4262	387	1	majeed	majeed	PROPN
cana-4262	387	2	,	,	PUNCT
cana-4262	387	3	a.	a.	PROPN
cana-4262	387	4	,	,	PUNCT
cana-4262	387	5	a.	a.	PROPN
cana-4262	387	6	zeeshan	zeeshan	PROPN
cana-4262	387	7	,	,	PUNCT
cana-4262	387	8	and	and	CCONJ
cana-4262	387	9	r.	r.	PROPN
cana-4262	387	10	ellahi	ellahi	PROPN
cana-4262	387	11	.	.	PUNCT
cana-4262	388	1	"	"	PUNCT
cana-4262	388	2	unsteady	unsteady	ADJ
cana-4262	388	3	ferromagnetic	ferromagnetic	ADJ
cana-4262	388	4	liquid	liquid	ADJ
cana-4262	388	5	flow	flow	NOUN
cana-4262	388	6	and	and	CCONJ
cana-4262	388	7	heat	heat	NOUN
cana-4262	388	8	transfer	transfer	NOUN
cana-4262	388	9	analysis	analysis	NOUN
cana-4262	388	10	over	over	ADP
cana-4262	388	11	a	a	DET
cana-4262	388	12	stretching	stretch	VERB
cana-4262	388	13	sheet	sheet	NOUN
cana-4262	388	14	with	with	ADP
cana-4262	388	15	the	the	DET
cana-4262	388	16	effect	effect	NOUN
cana-4262	388	17	of	of	ADP
cana-4262	388	18	dipole	dipole	NOUN
cana-4262	388	19	and	and	CCONJ
cana-4262	388	20	prescribed	prescribe	VERB
cana-4262	388	21	heat	heat	NOUN
cana-4262	388	22	flux	flux	NOUN
cana-4262	388	23	.	.	PUNCT
cana-4262	388	24	"	"	PUNCT
cana-4262	389	1	journal	journal	NOUN
cana-4262	389	2	of	of	ADP
cana-4262	389	3	molecular	molecular	ADJ
cana-4262	389	4	liquids	liquid	NOUN
cana-4262	389	5	223	223	NUM
cana-4262	389	6	(	(	PUNCT
cana-4262	389	7	2016	2016	NUM
cana-4262	389	8	):	):	PUNCT
cana-4262	389	9	528	528	NUM
cana-4262	389	10	-	-	SYM
cana-4262	389	11	533	533	NUM
cana-4262	389	12	.	.	PUNCT