id	sid	tid	token	lemma	pos
cana-1734	1	1	communications	communication	NOUN
cana-1734	1	2	on	on	ADP
cana-1734	1	3	applied	apply	VERB
cana-1734	1	4	nonlinear	nonlinear	ADJ
cana-1734	1	5	analysis	analysis	NOUN
cana-1734	1	6	issn	issn	NOUN
cana-1734	1	7	:	:	PUNCT
cana-1734	1	8	1074	1074	NUM
cana-1734	1	9	-	-	PUNCT
cana-1734	1	10	133x	133x	NUM
cana-1734	1	11	vol	vol	NOUN
cana-1734	1	12	32	32	NUM
cana-1734	1	13	no	no	NOUN
cana-1734	1	14	.	.	NOUN
cana-1734	1	15	2	2	NUM
cana-1734	1	16	(	(	PUNCT
cana-1734	1	17	2025	2025	NUM
cana-1734	1	18	)	)	PUNCT
cana-1734	2	1	175	175	NUM
cana-1734	2	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	2	3	darcy	darcy	PROPN
cana-1734	2	4	-	-	PUNCT
cana-1734	2	5	forchheimer	forchheimer	PROPN
cana-1734	2	6	flow	flow	NOUN
cana-1734	2	7	of	of	ADP
cana-1734	2	8	casson	casson	PROPN
cana-1734	2	9	nanofluids	nanofluids	PROPN
cana-1734	2	10	towards	towards	ADP
cana-1734	2	11	a	a	DET
cana-1734	2	12	spinning	spinning	NOUN
cana-1734	2	13	disk	disk	NOUN
cana-1734	2	14	with	with	ADP
cana-1734	2	15	non	non	ADJ
cana-1734	2	16	-	-	ADJ
cana-1734	2	17	uniform	uniform	ADJ
cana-1734	2	18	heat	heat	NOUN
cana-1734	2	19	source	source	NOUN
cana-1734	2	20	chepiala	chepiala	PROPN
cana-1734	2	21	pushpalata1	pushpalata1	PROPN
cana-1734	2	22	,	,	PUNCT
cana-1734	2	23	m.	m.	NOUN
cana-1734	2	24	monica2	monica2	PROPN
cana-1734	2	25	,	,	PUNCT
cana-1734	2	26	k.	k.	PROPN
cana-1734	2	27	satyanarayana3	satyanarayana3	PROPN
cana-1734	2	28	,	,	PUNCT
cana-1734	2	29	ch	ch	PROPN
cana-1734	2	30	.	.	PUNCT
cana-1734	2	31	kishore	kishore	PROPN
cana-1734	2	32	kumar4	kumar4	PROPN
cana-1734	2	33	,	,	PUNCT
cana-1734	2	34	b.	b.	PROPN
cana-1734	2	35	shankar5	shankar5	PROPN
cana-1734	2	36	,	,	PUNCT
cana-1734	2	37	mattipelli	mattipelli	PROPN
cana-1734	2	38	ramachandru6	ramachandru6	PROPN
cana-1734	2	39	*	*	PUNCT
cana-1734	2	40	1department	1department	NUM
cana-1734	2	41	of	of	ADP
cana-1734	2	42	mathematics	mathematic	NOUN
cana-1734	2	43	,	,	PUNCT
cana-1734	2	44	tswrdcw	tswrdcw	PROPN
cana-1734	2	45	,	,	PUNCT
cana-1734	2	46	siddipet	siddipet	PROPN
cana-1734	2	47	,	,	PUNCT
cana-1734	2	48	telangana	telangana	PROPN
cana-1734	2	49	,	,	PUNCT
cana-1734	2	50	india-502103	india-502103	NOUN
cana-1734	2	51	,	,	PUNCT
cana-1734	2	52	ch.pushpalatha14@yahoo.com	ch.pushpalatha14@yahoo.com	NOUN
cana-1734	2	53	2department	2department	NUM
cana-1734	2	54	of	of	ADP
cana-1734	2	55	mathematics	mathematic	NOUN
cana-1734	2	56	,	,	PUNCT
cana-1734	2	57	tswrdcw	tswrdcw	PROPN
cana-1734	2	58	,	,	PUNCT
cana-1734	2	59	vikarabad	vikarabad	PROPN
cana-1734	2	60	,	,	PUNCT
cana-1734	2	61	telangana	telangana	PROPN
cana-1734	2	62	,	,	PUNCT
cana-1734	2	63	india-501504	india-501504	NOUN
cana-1734	2	64	,	,	PUNCT
cana-1734	2	65	monica.medikare@gmail.com	monica.medikare@gmail.com	X
cana-1734	2	66	3department	3department	NUM
cana-1734	2	67	of	of	ADP
cana-1734	2	68	mathematics	mathematics	PROPN
cana-1734	2	69	,	,	PUNCT
cana-1734	2	70	ucs	ucs	PROPN
cana-1734	2	71	,	,	PUNCT
cana-1734	2	72	osmania	osmania	PROPN
cana-1734	2	73	university	university	PROPN
cana-1734	2	74	,	,	PUNCT
cana-1734	2	75	telangana	telangana	PROPN
cana-1734	2	76	,	,	PUNCT
cana-1734	2	77	india-500007	india-500007	VERB
cana-1734	2	78	,	,	PUNCT
cana-1734	2	79	satyamaths123@gmail.com	satyamaths123@gmail.com	X
cana-1734	3	1	4department	4department	NUM
cana-1734	3	2	of	of	ADP
cana-1734	3	3	mathematics	mathematic	NOUN
cana-1734	3	4	,	,	PUNCT
cana-1734	3	5	nizam	nizam	PROPN
cana-1734	3	6	college	college	PROPN
cana-1734	3	7	(	(	PUNCT
cana-1734	3	8	a	a	NOUN
cana-1734	3	9	)	)	PUNCT
cana-1734	3	10	,	,	PUNCT
cana-1734	3	11	hyderabad	hyderabad	PROPN
cana-1734	3	12	,	,	PUNCT
cana-1734	3	13	telangana	telangana	PROPN
cana-1734	3	14	,	,	PUNCT
cana-1734	3	15	india-500001	india-500001	NOUN
cana-1734	3	16	,	,	PUNCT
cana-1734	3	17	kishoresai09@gmail.com	kishoresai09@gmail.com	X
cana-1734	4	1	5department	5department	NUM
cana-1734	4	2	of	of	ADP
cana-1734	4	3	mathematics	mathematic	NOUN
cana-1734	4	4	,	,	PUNCT
cana-1734	4	5	cvr	cvr	NOUN
cana-1734	4	6	college	college	PROPN
cana-1734	4	7	,	,	PUNCT
cana-1734	4	8	hyderabad	hyderabad	PROPN
cana-1734	4	9	,	,	PUNCT
cana-1734	4	10	telangana	telangana	PROPN
cana-1734	4	11	,	,	PUNCT
cana-1734	4	12	india-501510	india-501510	NOUN
cana-1734	4	13	,	,	PUNCT
cana-1734	4	14	bandarishanker@yahoo.co.in	bandarishanker@yahoo.co.in	X
cana-1734	4	15	6*department	6*department	ADJ
cana-1734	4	16	of	of	ADP
cana-1734	4	17	humanities	humanity	NOUN
cana-1734	4	18	&	&	CCONJ
cana-1734	4	19	science	science	NOUN
cana-1734	4	20	,	,	PUNCT
cana-1734	4	21	ucet	ucet	PROPN
cana-1734	4	22	,	,	PUNCT
cana-1734	4	23	mahatma	mahatma	PROPN
cana-1734	4	24	gandhi	gandhi	PROPN
cana-1734	4	25	university	university	PROPN
cana-1734	4	26	,	,	PUNCT
cana-1734	4	27	telangana	telangana	PROPN
cana-1734	4	28	,	,	PUNCT
cana-1734	4	29	india-508254	india-508254	ADJ
cana-1734	4	30	,	,	PUNCT
cana-1734	4	31	ramanmaths7@gmail.com	ramanmaths7@gmail.com	X
cana-1734	4	32	*	*	PUNCT
cana-1734	4	33	corresponding	correspond	VERB
cana-1734	4	34	author	author	NOUN
cana-1734	4	35	:	:	PUNCT
cana-1734	4	36	email	email	NOUN
cana-1734	4	37	:	:	PUNCT
cana-1734	4	38	ramanmaths7@gmail.com	ramanmaths7@gmail.com	X
cana-1734	4	39	article	article	NOUN
cana-1734	4	40	history	history	NOUN
cana-1734	4	41	:	:	PUNCT
cana-1734	4	42	received	receive	VERB
cana-1734	4	43	:	:	PUNCT
cana-1734	4	44	28	28	NUM
cana-1734	4	45	-	-	SYM
cana-1734	4	46	07	07	NUM
cana-1734	4	47	-	-	PUNCT
cana-1734	4	48	2024	2024	NUM
cana-1734	4	49	revised	revise	VERB
cana-1734	4	50	:	:	PUNCT
cana-1734	4	51	08	08	NUM
cana-1734	4	52	-	-	SYM
cana-1734	4	53	09	09	NUM
cana-1734	4	54	-	-	PUNCT
cana-1734	4	55	2024	2024	NUM
cana-1734	4	56	accepted	accept	VERB
cana-1734	4	57	:	:	PUNCT
cana-1734	4	58	17	17	NUM
cana-1734	4	59	-	-	SYM
cana-1734	4	60	09	09	NUM
cana-1734	4	61	-	-	PUNCT
cana-1734	4	62	2024	2024	NUM
cana-1734	4	63	abstract	abstract	NOUN
cana-1734	4	64	:	:	PUNCT
cana-1734	4	65	this	this	DET
cana-1734	4	66	study	study	NOUN
cana-1734	4	67	investigates	investigate	VERB
cana-1734	4	68	the	the	DET
cana-1734	4	69	darcy	darcy	PROPN
cana-1734	4	70	-	-	PUNCT
cana-1734	4	71	forchheimer	forchheimer	PROPN
cana-1734	4	72	flow	flow	NOUN
cana-1734	4	73	of	of	ADP
cana-1734	4	74	a	a	DET
cana-1734	4	75	casson	casson	PROPN
cana-1734	4	76	nanofluid	nanofluid	NOUN
cana-1734	4	77	over	over	ADP
cana-1734	4	78	a	a	DET
cana-1734	4	79	spinning	spinning	NOUN
cana-1734	4	80	disk	disk	NOUN
cana-1734	4	81	,	,	PUNCT
cana-1734	4	82	incorporating	incorporate	VERB
cana-1734	4	83	the	the	DET
cana-1734	4	84	effects	effect	NOUN
cana-1734	4	85	of	of	ADP
cana-1734	4	86	a	a	DET
cana-1734	4	87	non	non	ADJ
cana-1734	4	88	-	-	ADJ
cana-1734	4	89	uniform	uniform	ADJ
cana-1734	4	90	heat	heat	NOUN
cana-1734	4	91	source	source	NOUN
cana-1734	4	92	.	.	PUNCT
cana-1734	5	1	such	such	ADJ
cana-1734	5	2	flows	flow	NOUN
cana-1734	5	3	are	be	AUX
cana-1734	5	4	significant	significant	ADJ
cana-1734	5	5	in	in	ADP
cana-1734	5	6	various	various	ADJ
cana-1734	5	7	industrial	industrial	ADJ
cana-1734	5	8	and	and	CCONJ
cana-1734	5	9	engineering	engineering	NOUN
cana-1734	5	10	applications	application	NOUN
cana-1734	5	11	,	,	PUNCT
cana-1734	5	12	including	include	VERB
cana-1734	5	13	cooling	cool	VERB
cana-1734	5	14	systems	system	NOUN
cana-1734	5	15	,	,	PUNCT
cana-1734	5	16	lubrication	lubrication	NOUN
cana-1734	5	17	technologies	technology	NOUN
cana-1734	5	18	,	,	PUNCT
cana-1734	5	19	and	and	CCONJ
cana-1734	5	20	chemical	chemical	NOUN
cana-1734	5	21	processing	processing	NOUN
cana-1734	5	22	involving	involve	VERB
cana-1734	5	23	complex	complex	ADJ
cana-1734	5	24	fluids	fluid	NOUN
cana-1734	5	25	.	.	PUNCT
cana-1734	6	1	the	the	DET
cana-1734	6	2	governing	govern	VERB
cana-1734	6	3	boundary	boundary	ADJ
cana-1734	6	4	layer	layer	NOUN
cana-1734	6	5	equations	equation	NOUN
cana-1734	6	6	,	,	PUNCT
cana-1734	6	7	initially	initially	ADV
cana-1734	6	8	in	in	ADP
cana-1734	6	9	partial	partial	ADJ
cana-1734	6	10	differential	differential	NOUN
cana-1734	6	11	form	form	NOUN
cana-1734	6	12	,	,	PUNCT
cana-1734	6	13	were	be	AUX
cana-1734	6	14	transformed	transform	VERB
cana-1734	6	15	into	into	ADP
cana-1734	6	16	a	a	DET
cana-1734	6	17	set	set	NOUN
cana-1734	6	18	of	of	ADP
cana-1734	6	19	ordinary	ordinary	ADJ
cana-1734	6	20	differential	differential	ADJ
cana-1734	6	21	equations	equation	NOUN
cana-1734	6	22	(	(	PUNCT
cana-1734	6	23	odes	ode	NOUN
cana-1734	6	24	)	)	PUNCT
cana-1734	6	25	using	use	VERB
cana-1734	6	26	similarity	similarity	NOUN
cana-1734	6	27	transformations	transformation	NOUN
cana-1734	6	28	.	.	PUNCT
cana-1734	7	1	these	these	DET
cana-1734	7	2	odes	ode	NOUN
cana-1734	7	3	were	be	AUX
cana-1734	7	4	then	then	ADV
cana-1734	7	5	solved	solve	VERB
cana-1734	7	6	numerically	numerically	ADV
cana-1734	7	7	using	use	VERB
cana-1734	7	8	the	the	DET
cana-1734	7	9	bvp4c	bvp4c	PROPN
cana-1734	7	10	matlab	matlab	PROPN
cana-1734	7	11	solver	solver	NOUN
cana-1734	7	12	.	.	PUNCT
cana-1734	8	1	the	the	DET
cana-1734	8	2	influence	influence	NOUN
cana-1734	8	3	of	of	ADP
cana-1734	8	4	various	various	ADJ
cana-1734	8	5	physical	physical	ADJ
cana-1734	8	6	parameters	parameter	NOUN
cana-1734	8	7	on	on	ADP
cana-1734	8	8	the	the	DET
cana-1734	8	9	velocity	velocity	NOUN
cana-1734	8	10	,	,	PUNCT
cana-1734	8	11	temperature	temperature	NOUN
cana-1734	8	12	,	,	PUNCT
cana-1734	8	13	and	and	CCONJ
cana-1734	8	14	concentration	concentration	NOUN
cana-1734	8	15	profiles	profile	NOUN
cana-1734	8	16	was	be	AUX
cana-1734	8	17	thoroughly	thoroughly	ADV
cana-1734	8	18	analyzed	analyze	VERB
cana-1734	8	19	and	and	CCONJ
cana-1734	8	20	visualized	visualize	VERB
cana-1734	8	21	through	through	ADP
cana-1734	8	22	graphs	graph	NOUN
cana-1734	8	23	.	.	PUNCT
cana-1734	9	1	additionally	additionally	ADV
cana-1734	9	2	,	,	PUNCT
cana-1734	9	3	the	the	DET
cana-1734	9	4	nusselt	nusselt	PROPN
cana-1734	9	5	and	and	CCONJ
cana-1734	9	6	sherwood	sherwood	PROPN
cana-1734	9	7	numbers	number	NOUN
cana-1734	9	8	were	be	AUX
cana-1734	9	9	computed	compute	VERB
cana-1734	9	10	and	and	CCONJ
cana-1734	9	11	presented	present	VERB
cana-1734	9	12	in	in	ADP
cana-1734	9	13	tabular	tabular	PROPN
cana-1734	9	14	form	form	NOUN
cana-1734	9	15	to	to	PART
cana-1734	9	16	quantify	quantify	VERB
cana-1734	9	17	heat	heat	NOUN
cana-1734	9	18	and	and	CCONJ
cana-1734	9	19	mass	mass	NOUN
cana-1734	9	20	transfer	transfer	NOUN
cana-1734	9	21	rates	rate	NOUN
cana-1734	9	22	.	.	PUNCT
cana-1734	10	1	keywords	keyword	NOUN
cana-1734	10	2	:	:	PUNCT
cana-1734	10	3	darcy	darcy	PROPN
cana-1734	10	4	forchhiemer	forchhiemer	PROPN
cana-1734	10	5	,	,	PUNCT
cana-1734	10	6	casson	casson	PROPN
cana-1734	10	7	fluid	fluid	NOUN
cana-1734	10	8	,	,	PUNCT
cana-1734	10	9	nanoparticles	nanoparticle	NOUN
cana-1734	10	10	,	,	PUNCT
cana-1734	10	11	spinning	spinning	NOUN
cana-1734	10	12	disk	disk	NOUN
cana-1734	10	13	,	,	PUNCT
cana-1734	10	14	nonuniform	nonuniform	ADJ
cana-1734	10	15	heat	heat	NOUN
cana-1734	10	16	source	source	NOUN
cana-1734	10	17	.	.	PUNCT
cana-1734	11	1	1	1	X
cana-1734	11	2	.	.	X
cana-1734	11	3	introduction	introduction	NOUN
cana-1734	11	4	non	non	ADJ
cana-1734	11	5	-	-	ADJ
cana-1734	11	6	newtonian	newtonian	ADJ
cana-1734	11	7	fluids	fluid	NOUN
cana-1734	11	8	have	have	VERB
cana-1734	11	9	special	special	ADJ
cana-1734	11	10	flow	flow	NOUN
cana-1734	11	11	characteristics	characteristic	NOUN
cana-1734	11	12	that	that	PRON
cana-1734	11	13	make	make	VERB
cana-1734	11	14	them	they	PRON
cana-1734	11	15	useful	useful	ADJ
cana-1734	11	16	in	in	ADP
cana-1734	11	17	many	many	ADJ
cana-1734	11	18	industrial	industrial	ADJ
cana-1734	11	19	applications	application	NOUN
cana-1734	11	20	,	,	PUNCT
cana-1734	11	21	such	such	ADJ
cana-1734	11	22	as	as	ADP
cana-1734	11	23	coating	coating	NOUN
cana-1734	11	24	sheets	sheet	NOUN
cana-1734	11	25	,	,	PUNCT
cana-1734	11	26	polymers	polymer	NOUN
cana-1734	11	27	,	,	PUNCT
cana-1734	11	28	and	and	CCONJ
cana-1734	11	29	optical	optical	ADJ
cana-1734	11	30	fibers	fiber	NOUN
cana-1734	11	31	.	.	PUNCT
cana-1734	12	1	additionally	additionally	ADV
cana-1734	12	2	,	,	PUNCT
cana-1734	12	3	because	because	SCONJ
cana-1734	12	4	of	of	ADP
cana-1734	12	5	their	their	PRON
cana-1734	12	6	capacity	capacity	NOUN
cana-1734	12	7	to	to	PART
cana-1734	12	8	withstand	withstand	VERB
cana-1734	12	9	flow	flow	NOUN
cana-1734	12	10	under	under	ADP
cana-1734	12	11	stress	stress	NOUN
cana-1734	12	12	,	,	PUNCT
cana-1734	12	13	these	these	DET
cana-1734	12	14	fluids	fluid	NOUN
cana-1734	12	15	are	be	AUX
cana-1734	12	16	essential	essential	ADJ
cana-1734	12	17	to	to	PART
cana-1734	12	18	brake	brake	VERB
cana-1734	12	19	and	and	CCONJ
cana-1734	12	20	damper	damper	NOUN
cana-1734	12	21	systems	system	NOUN
cana-1734	12	22	.	.	PUNCT
cana-1734	13	1	a	a	DET
cana-1734	13	2	particular	particular	ADJ
cana-1734	13	3	kind	kind	NOUN
cana-1734	13	4	of	of	ADP
cana-1734	13	5	non	non	ADJ
cana-1734	13	6	-	-	ADJ
cana-1734	13	7	newtonian	newtonian	ADJ
cana-1734	13	8	fluid	fluid	NOUN
cana-1734	13	9	called	call	VERB
cana-1734	13	10	casson	casson	PROPN
cana-1734	13	11	fluid	fluid	NOUN
cana-1734	13	12	has	have	AUX
cana-1734	13	13	drawn	draw	VERB
cana-1734	13	14	a	a	DET
cana-1734	13	15	lot	lot	NOUN
cana-1734	13	16	of	of	ADP
cana-1734	13	17	interest	interest	NOUN
cana-1734	13	18	recently	recently	ADV
cana-1734	13	19	because	because	SCONJ
cana-1734	13	20	of	of	ADP
cana-1734	13	21	its	its	PRON
cana-1734	13	22	unique	unique	ADJ
cana-1734	13	23	behavior	behavior	NOUN
cana-1734	13	24	,	,	PUNCT
cana-1734	13	25	which	which	PRON
cana-1734	13	26	makes	make	VERB
cana-1734	13	27	it	it	PRON
cana-1734	13	28	useful	useful	ADJ
cana-1734	13	29	in	in	ADP
cana-1734	13	30	situations	situation	NOUN
cana-1734	13	31	where	where	SCONJ
cana-1734	13	32	elastic	elastic	ADJ
cana-1734	13	33	and	and	CCONJ
cana-1734	13	34	viscous	viscous	ADJ
cana-1734	13	35	qualities	quality	NOUN
cana-1734	13	36	are	be	AUX
cana-1734	13	37	equally	equally	ADV
cana-1734	13	38	relevant	relevant	ADJ
cana-1734	13	39	.	.	PUNCT
cana-1734	14	1	copley	copley	NOUN
cana-1734	15	1	[	[	X
cana-1734	15	2	1	1	NUM
cana-1734	15	3	]	]	PUNCT
cana-1734	15	4	and	and	CCONJ
cana-1734	15	5	blair	blair	PROPN
cana-1734	15	6	[	[	X
cana-1734	15	7	2	2	NUM
cana-1734	15	8	]	]	PUNCT
cana-1734	15	9	illustrated	illustrate	VERB
cana-1734	15	10	the	the	DET
cana-1734	15	11	fundamental	fundamental	ADJ
cana-1734	15	12	shear	shear	NOUN
cana-1734	15	13	characteristics	characteristic	NOUN
cana-1734	15	14	of	of	ADP
cana-1734	15	15	blood	blood	NOUN
cana-1734	15	16	in	in	ADP
cana-1734	15	17	arteries	artery	NOUN
cana-1734	15	18	by	by	ADP
cana-1734	15	19	employing	employ	VERB
cana-1734	15	20	the	the	DET
cana-1734	15	21	casson	casson	PROPN
cana-1734	15	22	fluid	fluid	NOUN
cana-1734	15	23	model	model	NOUN
cana-1734	15	24	.	.	PUNCT
cana-1734	16	1	this	this	DET
cana-1734	16	2	fluid	fluid	ADJ
cana-1734	16	3	model	model	NOUN
cana-1734	16	4	stated	state	VERB
cana-1734	16	5	to	to	PART
cana-1734	16	6	fit	fit	VERB
cana-1734	16	7	rheological	rheological	ADJ
cana-1734	16	8	data	datum	NOUN
cana-1734	16	9	.	.	PUNCT
cana-1734	17	1	according	accord	VERB
cana-1734	17	2	to	to	ADP
cana-1734	17	3	the	the	DET
cana-1734	17	4	study	study	NOUN
cana-1734	17	5	of	of	ADP
cana-1734	17	6	nadeem	nadeem	PROPN
cana-1734	17	7	et	et	PROPN
cana-1734	17	8	al	al	PROPN
cana-1734	17	9	.	.	PUNCT
cana-1734	18	1	[	[	X
cana-1734	18	2	3	3	NUM
cana-1734	18	3	]	]	PUNCT
cana-1734	18	4	and	and	CCONJ
cana-1734	18	5	kandasamy	kandasamy	NOUN
cana-1734	18	6	and	and	CCONJ
cana-1734	18	7	pai	pai	X
cana-1734	18	8	[	[	X
cana-1734	18	9	4	4	NUM
cana-1734	18	10	]	]	X
cana-1734	18	11	casson	casson	PROPN
cana-1734	18	12	fluid	fluid	NOUN
cana-1734	18	13	exhibits	exhibit	VERB
cana-1734	18	14	the	the	DET
cana-1734	18	15	yield	yield	NOUN
cana-1734	18	16	stress	stress	NOUN
cana-1734	18	17	.	.	PUNCT
cana-1734	19	1	the	the	DET
cana-1734	19	2	analytical	analytical	ADJ
cana-1734	19	3	study	study	NOUN
cana-1734	19	4	of	of	ADP
cana-1734	19	5	the	the	DET
cana-1734	19	6	non	non	ADJ
cana-1734	19	7	-	-	ADJ
cana-1734	19	8	co	co	ADJ
cana-1734	19	9	-	-	ADJ
cana-1734	19	10	axial	axial	ADJ
cana-1734	19	11	effects	effect	NOUN
cana-1734	19	12	of	of	ADP
cana-1734	19	13	transportation	transportation	NOUN
cana-1734	19	14	of	of	ADP
cana-1734	19	15	mass	mass	NOUN
cana-1734	19	16	subjected	subject	VERB
cana-1734	19	17	to	to	ADP
cana-1734	19	18	first	first	ADJ
cana-1734	19	19	-	-	PUNCT
cana-1734	19	20	order	order	NOUN
cana-1734	19	21	chemical	chemical	NOUN
cana-1734	19	22	reaction	reaction	NOUN
cana-1734	19	23	was	be	AUX
cana-1734	19	24	examined	examine	VERB
cana-1734	19	25	by	by	ADP
cana-1734	19	26	jabbar	jabbar	PROPN
cana-1734	19	27	et	et	PROPN
cana-1734	19	28	al	al	PROPN
cana-1734	19	29	.	.	PUNCT
cana-1734	20	1	[	[	X
cana-1734	20	2	5	5	X
cana-1734	20	3	]	]	PUNCT
cana-1734	20	4	recently	recently	ADV
cana-1734	20	5	the	the	DET
cana-1734	20	6	numerical	numerical	PROPN
cana-1734	20	7	simulation	simulation	PROPN
cana-1734	20	8	of	of	ADP
cana-1734	20	9	non	non	ADJ
cana-1734	20	10	-	-	ADJ
cana-1734	20	11	coaxial	coaxial	ADJ
cana-1734	20	12	rotation	rotation	NOUN
cana-1734	20	13	of	of	ADP
cana-1734	20	14	a	a	DET
cana-1734	20	15	casson	casson	PROPN
cana-1734	20	16	fluid	fluid	NOUN
cana-1734	20	17	towards	towards	ADP
cana-1734	20	18	a	a	DET
cana-1734	20	19	circular	circular	ADJ
cana-1734	20	20	disc	disc	NOUN
cana-1734	20	21	was	be	AUX
cana-1734	20	22	examined	examine	VERB
cana-1734	20	23	by	by	ADP
cana-1734	20	24	alqarni	alqarni	PROPN
cana-1734	20	25	et	et	PROPN
cana-1734	20	26	al	al	PROPN
cana-1734	20	27	.	.	PUNCT
cana-1734	21	1	[	[	X
cana-1734	21	2	6	6	NUM
cana-1734	21	3	]	]	PUNCT
cana-1734	21	4	.	.	PUNCT
cana-1734	22	1	mailto:ch.pushpalatha14@yahoo.com	mailto:ch.pushpalatha14@yahoo.com	PROPN
cana-1734	22	2	mailto:monica.medikare@gmail.com	mailto:monica.medikare@gmail.com	PROPN
cana-1734	22	3	mailto:kishoresai09@gmail.com	mailto:kishoresai09@gmail.com	PROPN
cana-1734	23	1	mailto:ramanmaths7@gmail.com	mailto:ramanmaths7@gmail.com	PROPN
cana-1734	23	2	communications	communication	NOUN
cana-1734	23	3	on	on	ADP
cana-1734	23	4	applied	apply	VERB
cana-1734	23	5	nonlinear	nonlinear	ADJ
cana-1734	23	6	analysis	analysis	NOUN
cana-1734	23	7	issn	issn	NOUN
cana-1734	23	8	:	:	PUNCT
cana-1734	23	9	1074	1074	NUM
cana-1734	23	10	-	-	PUNCT
cana-1734	23	11	133x	133x	NUM
cana-1734	23	12	vol	vol	NOUN
cana-1734	23	13	32	32	NUM
cana-1734	23	14	no	no	NOUN
cana-1734	23	15	.	.	NOUN
cana-1734	23	16	2	2	NUM
cana-1734	23	17	(	(	PUNCT
cana-1734	23	18	2025	2025	NUM
cana-1734	23	19	)	)	PUNCT
cana-1734	23	20	176	176	NUM
cana-1734	23	21	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	24	1	the	the	DET
cana-1734	24	2	study	study	NOUN
cana-1734	24	3	of	of	ADP
cana-1734	24	4	the	the	DET
cana-1734	24	5	flow	flow	NOUN
cana-1734	24	6	over	over	ADP
cana-1734	24	7	rotating	rotate	VERB
cana-1734	24	8	disk	disk	NOUN
cana-1734	24	9	involves	involve	VERB
cana-1734	24	10	numerous	numerous	ADJ
cana-1734	24	11	industrial	industrial	ADJ
cana-1734	24	12	applications	application	NOUN
cana-1734	24	13	like	like	ADP
cana-1734	24	14	turbine	turbine	NOUN
cana-1734	24	15	disks	disk	NOUN
cana-1734	24	16	,	,	PUNCT
cana-1734	24	17	rotary	rotary	ADJ
cana-1734	24	18	type	type	NOUN
cana-1734	24	19	machine	machine	NOUN
cana-1734	24	20	systems	system	NOUN
cana-1734	24	21	and	and	CCONJ
cana-1734	24	22	application	application	NOUN
cana-1734	24	23	of	of	ADP
cana-1734	24	24	rotating	rotate	VERB
cana-1734	24	25	disk	disk	NOUN
cana-1734	24	26	boundary	boundary	ADJ
cana-1734	24	27	-	-	PUNCT
cana-1734	24	28	layer	layer	NOUN
cana-1734	24	29	flow	flow	NOUN
cana-1734	24	30	finds	find	VERB
cana-1734	24	31	direct	direct	ADJ
cana-1734	24	32	use	use	NOUN
cana-1734	24	33	in	in	ADP
cana-1734	24	34	chemical	chemical	ADJ
cana-1734	24	35	vapour	vapour	NOUN
cana-1734	24	36	deposition	deposition	NOUN
cana-1734	24	37	(	(	PUNCT
cana-1734	24	38	cvd	cvd	NOUN
cana-1734	24	39	)	)	PUNCT
cana-1734	24	40	reactors	reactor	NOUN
cana-1734	24	41	.	.	PUNCT
cana-1734	25	1	the	the	DET
cana-1734	25	2	immense	immense	ADJ
cana-1734	25	3	applications	application	NOUN
cana-1734	25	4	of	of	ADP
cana-1734	25	5	this	this	DET
cana-1734	25	6	area	area	NOUN
cana-1734	25	7	attract	attract	VERB
cana-1734	25	8	many	many	ADJ
cana-1734	25	9	researchers	researcher	NOUN
cana-1734	25	10	.	.	PUNCT
cana-1734	26	1	von	von	PROPN
cana-1734	26	2	karman	karman	PROPN
cana-1734	27	1	[	[	X
cana-1734	27	2	7	7	NUM
cana-1734	27	3	]	]	PUNCT
cana-1734	27	4	was	be	AUX
cana-1734	27	5	the	the	DET
cana-1734	27	6	first	first	ADJ
cana-1734	27	7	one	one	NUM
cana-1734	27	8	to	to	PART
cana-1734	27	9	give	give	VERB
cana-1734	27	10	a	a	DET
cana-1734	27	11	prominent	prominent	ADJ
cana-1734	27	12	result	result	NOUN
cana-1734	27	13	on	on	ADP
cana-1734	27	14	boundary	boundary	ADJ
cana-1734	27	15	layer	layer	NOUN
cana-1734	27	16	flow	flow	NOUN
cana-1734	27	17	over	over	ADP
cana-1734	27	18	a	a	DET
cana-1734	27	19	rotating	rotate	VERB
cana-1734	27	20	disk	disk	NOUN
cana-1734	27	21	.	.	PUNCT
cana-1734	28	1	he	he	PRON
cana-1734	28	2	gave	give	VERB
cana-1734	28	3	a	a	DET
cana-1734	28	4	differential	differential	ADJ
cana-1734	28	5	equation	equation	NOUN
cana-1734	28	6	model	model	NOUN
cana-1734	28	7	for	for	ADP
cana-1734	28	8	the	the	DET
cana-1734	28	9	flow	flow	NOUN
cana-1734	28	10	problem	problem	NOUN
cana-1734	28	11	by	by	ADP
cana-1734	28	12	using	use	VERB
cana-1734	28	13	the	the	DET
cana-1734	28	14	appropriate	appropriate	ADJ
cana-1734	28	15	integral	integral	ADJ
cana-1734	28	16	procedure	procedure	NOUN
cana-1734	28	17	.	.	PUNCT
cana-1734	29	1	inspired	inspire	VERB
cana-1734	29	2	by	by	ADP
cana-1734	29	3	his	his	PRON
cana-1734	29	4	study	study	NOUN
cana-1734	29	5	,	,	PUNCT
cana-1734	29	6	cochran	cochran	PROPN
cana-1734	30	1	[	[	X
cana-1734	30	2	8	8	NUM
cana-1734	30	3	]	]	PUNCT
cana-1734	30	4	has	have	AUX
cana-1734	30	5	found	find	VERB
cana-1734	30	6	a	a	DET
cana-1734	30	7	series	series	NOUN
cana-1734	30	8	solutions	solution	NOUN
cana-1734	30	9	for	for	ADP
cana-1734	30	10	the	the	DET
cana-1734	30	11	same	same	ADJ
cana-1734	30	12	problem	problem	NOUN
cana-1734	30	13	.	.	PUNCT
cana-1734	31	1	later	later	ADV
cana-1734	31	2	,	,	PUNCT
cana-1734	31	3	benton	benton	PROPN
cana-1734	32	1	[	[	X
cana-1734	32	2	9	9	NUM
cana-1734	32	3	]	]	PUNCT
cana-1734	32	4	has	have	AUX
cana-1734	32	5	improved	improve	VERB
cana-1734	32	6	cochran	cochran	NOUN
cana-1734	32	7	's	's	PART
cana-1734	32	8	problem	problem	NOUN
cana-1734	32	9	by	by	ADP
cana-1734	32	10	considering	consider	VERB
cana-1734	32	11	the	the	DET
cana-1734	32	12	time	time	NOUN
cana-1734	32	13	-	-	PUNCT
cana-1734	32	14	dependent	dependent	ADJ
cana-1734	32	15	case	case	NOUN
cana-1734	32	16	.	.	PUNCT
cana-1734	33	1	freidoonimehra	freidoonimehra	PROPN
cana-1734	33	2	et	et	PROPN
cana-1734	33	3	al	al	PROPN
cana-1734	33	4	.	.	PUNCT
cana-1734	34	1	[	[	X
cana-1734	34	2	10	10	NUM
cana-1734	34	3	]	]	PUNCT
cana-1734	34	4	discussed	discuss	VERB
cana-1734	34	5	the	the	DET
cana-1734	34	6	behavior	behavior	NOUN
cana-1734	34	7	of	of	ADP
cana-1734	34	8	mhd	mhd	NOUN
cana-1734	34	9	flow	flow	NOUN
cana-1734	34	10	over	over	ADP
cana-1734	34	11	a	a	DET
cana-1734	34	12	porous	porous	ADJ
cana-1734	34	13	rotating	rotating	NOUN
cana-1734	34	14	disk	disk	NOUN
cana-1734	34	15	using	use	VERB
cana-1734	34	16	a	a	DET
cana-1734	34	17	semi	semi	ADJ
cana-1734	34	18	-	-	ADJ
cana-1734	34	19	numerical	numerical	ADJ
cana-1734	34	20	/	/	SYM
cana-1734	34	21	analytical	analytical	ADJ
cana-1734	34	22	method	method	NOUN
cana-1734	34	23	called	call	VERB
cana-1734	34	24	ham	ham	PROPN
cana-1734	34	25	.	.	PUNCT
cana-1734	35	1	whereas	whereas	SCONJ
cana-1734	35	2	a	a	DET
cana-1734	35	3	numerical	numerical	ADJ
cana-1734	35	4	solution	solution	NOUN
cana-1734	35	5	for	for	ADP
cana-1734	35	6	the	the	DET
cana-1734	35	7	buongiorno	buongiorno	PROPN
cana-1734	35	8	model	model	NOUN
cana-1734	35	9	for	for	ADP
cana-1734	35	10	the	the	DET
cana-1734	35	11	flow	flow	NOUN
cana-1734	35	12	over	over	ADP
cana-1734	35	13	a	a	DET
cana-1734	35	14	rotating	rotate	VERB
cana-1734	35	15	disk	disk	NOUN
cana-1734	35	16	along	along	ADP
cana-1734	35	17	with	with	ADP
cana-1734	35	18	velocity	velocity	NOUN
cana-1734	35	19	,	,	PUNCT
cana-1734	35	20	thermal	thermal	ADJ
cana-1734	35	21	,	,	PUNCT
cana-1734	35	22	and	and	CCONJ
cana-1734	35	23	solutal	solutal	ADJ
cana-1734	35	24	slips	slip	NOUN
cana-1734	35	25	was	be	AUX
cana-1734	35	26	found	find	VERB
cana-1734	35	27	by	by	ADP
cana-1734	35	28	mustafa	mustafa	PROPN
cana-1734	36	1	[	[	X
cana-1734	36	2	11	11	NUM
cana-1734	36	3	]	]	PUNCT
cana-1734	36	4	.	.	PUNCT
cana-1734	37	1	shehzad	shehzad	PROPN
cana-1734	37	2	et	et	PROPN
cana-1734	37	3	al	al	PROPN
cana-1734	37	4	.	.	PUNCT
cana-1734	38	1	[	[	X
cana-1734	38	2	12	12	NUM
cana-1734	38	3	]	]	PUNCT
cana-1734	38	4	numerically	numerically	ADV
cana-1734	38	5	explored	explore	VERB
cana-1734	38	6	the	the	DET
cana-1734	38	7	flow	flow	NOUN
cana-1734	38	8	of	of	ADP
cana-1734	38	9	a	a	DET
cana-1734	38	10	rotating	rotate	VERB
cana-1734	38	11	disk	disk	NOUN
cana-1734	38	12	in	in	ADP
cana-1734	38	13	both	both	CCONJ
cana-1734	38	14	upward	upward	ADJ
cana-1734	38	15	and	and	CCONJ
cana-1734	38	16	downward	downward	ADJ
cana-1734	38	17	motion	motion	NOUN
cana-1734	38	18	.	.	PUNCT
cana-1734	39	1	recently	recently	ADV
cana-1734	39	2	,	,	PUNCT
cana-1734	39	3	the	the	DET
cana-1734	39	4	irreversibility	irreversibility	NOUN
cana-1734	39	5	analysis	analysis	NOUN
cana-1734	39	6	of	of	ADP
cana-1734	39	7	flow	flow	NOUN
cana-1734	39	8	of	of	ADP
cana-1734	39	9	a	a	DET
cana-1734	39	10	hybrid	hybrid	ADJ
cana-1734	39	11	nanofluid	nanofluid	NOUN
cana-1734	39	12	through	through	ADP
cana-1734	39	13	a	a	DET
cana-1734	39	14	rotating	rotate	VERB
cana-1734	39	15	disk	disk	NOUN
cana-1734	39	16	by	by	ADP
cana-1734	39	17	considering	consider	VERB
cana-1734	39	18	thermal	thermal	ADJ
cana-1734	39	19	radiation	radiation	NOUN
cana-1734	39	20	and	and	CCONJ
cana-1734	39	21	magnetic	magnetic	ADJ
cana-1734	39	22	field	field	NOUN
cana-1734	39	23	was	be	AUX
cana-1734	39	24	done	do	VERB
cana-1734	39	25	by	by	ADP
cana-1734	39	26	kumar	kumar	PROPN
cana-1734	39	27	&	&	CCONJ
cana-1734	39	28	mondal	mondal	PROPN
cana-1734	39	29	[	[	X
cana-1734	39	30	13	13	NUM
cana-1734	39	31	]	]	PUNCT
cana-1734	39	32	.	.	PUNCT
cana-1734	40	1	different	different	ADJ
cana-1734	40	2	from	from	ADP
cana-1734	40	3	the	the	DET
cana-1734	40	4	regular	regular	NOUN
cana-1734	40	5	,	,	PUNCT
cana-1734	40	6	ali	ali	PROPN
cana-1734	40	7	et	et	PROPN
cana-1734	40	8	al	al	PROPN
cana-1734	40	9	.	.	PUNCT
cana-1734	41	1	[	[	X
cana-1734	41	2	14	14	NUM
cana-1734	41	3	]	]	PUNCT
cana-1734	41	4	studied	study	VERB
cana-1734	41	5	the	the	DET
cana-1734	41	6	unsteady	unsteady	ADJ
cana-1734	41	7	hydro	hydro	NOUN
cana-1734	41	8	magnetic	magnetic	ADJ
cana-1734	41	9	flow	flow	NOUN
cana-1734	41	10	towards	towards	ADP
cana-1734	41	11	an	an	DET
cana-1734	41	12	inclined	inclined	ADJ
cana-1734	41	13	rotating	rotating	NOUN
cana-1734	41	14	disc	disc	NOUN
cana-1734	41	15	by	by	ADP
cana-1734	41	16	using	use	VERB
cana-1734	41	17	the	the	DET
cana-1734	41	18	neural	neural	ADJ
cana-1734	41	19	network	network	NOUN
cana-1734	41	20	approach	approach	NOUN
cana-1734	41	21	.	.	PUNCT
cana-1734	42	1	at	at	ADP
cana-1734	42	2	high	high	ADJ
cana-1734	42	3	velocities	velocity	NOUN
cana-1734	42	4	,	,	PUNCT
cana-1734	42	5	fluid	fluid	ADJ
cana-1734	42	6	flow	flow	NOUN
cana-1734	42	7	through	through	ADP
cana-1734	42	8	porous	porous	ADJ
cana-1734	42	9	medium	medium	NOUN
cana-1734	42	10	becomes	become	NOUN
cana-1734	42	11	nonlinear	nonlinear	ADJ
cana-1734	42	12	,	,	PUNCT
cana-1734	42	13	a	a	DET
cana-1734	42	14	phenomenon	phenomenon	NOUN
cana-1734	42	15	known	know	VERB
cana-1734	42	16	as	as	ADP
cana-1734	42	17	the	the	DET
cana-1734	42	18	forchheimer	forchheimer	ADJ
cana-1734	42	19	effect	effect	NOUN
cana-1734	42	20	.	.	PUNCT
cana-1734	43	1	it	it	PRON
cana-1734	43	2	incorporates	incorporate	VERB
cana-1734	43	3	inertial	inertial	ADJ
cana-1734	43	4	effects	effect	NOUN
cana-1734	43	5	and	and	CCONJ
cana-1734	43	6	goes	go	VERB
cana-1734	43	7	beyond	beyond	ADP
cana-1734	43	8	darcy	darcy	NOUN
cana-1734	43	9	's	's	PART
cana-1734	43	10	law	law	NOUN
cana-1734	43	11	.	.	PUNCT
cana-1734	44	1	by	by	ADP
cana-1734	44	2	predicting	predict	VERB
cana-1734	44	3	fluid	fluid	ADJ
cana-1734	44	4	flow	flow	NOUN
cana-1734	44	5	in	in	ADP
cana-1734	44	6	densely	densely	ADV
cana-1734	44	7	packed	packed	ADJ
cana-1734	44	8	,	,	PUNCT
cana-1734	44	9	low	low	ADJ
cana-1734	44	10	-	-	PUNCT
cana-1734	44	11	porosity	porosity	NOUN
cana-1734	44	12	reservoirs	reservoir	NOUN
cana-1734	44	13	,	,	PUNCT
cana-1734	44	14	it	it	PRON
cana-1734	44	15	aids	aid	VERB
cana-1734	44	16	in	in	ADP
cana-1734	44	17	oil	oil	NOUN
cana-1734	44	18	recovery	recovery	NOUN
cana-1734	44	19	and	and	CCONJ
cana-1734	44	20	maximises	maximise	VERB
cana-1734	44	21	extraction	extraction	NOUN
cana-1734	44	22	.	.	PUNCT
cana-1734	45	1	it	it	PRON
cana-1734	45	2	helps	help	VERB
cana-1734	45	3	to	to	PART
cana-1734	45	4	improve	improve	VERB
cana-1734	45	5	the	the	DET
cana-1734	45	6	quality	quality	NOUN
cana-1734	45	7	of	of	ADP
cana-1734	45	8	the	the	DET
cana-1734	45	9	final	final	ADJ
cana-1734	45	10	product	product	NOUN
cana-1734	45	11	in	in	ADP
cana-1734	45	12	ceramic	ceramic	ADJ
cana-1734	45	13	processing	processing	NOUN
cana-1734	45	14	by	by	ADP
cana-1734	45	15	helping	help	VERB
cana-1734	45	16	to	to	PART
cana-1734	45	17	understand	understand	VERB
cana-1734	45	18	flow	flow	NOUN
cana-1734	45	19	resistance	resistance	NOUN
cana-1734	45	20	in	in	ADP
cana-1734	45	21	complicated	complicated	ADJ
cana-1734	45	22	,	,	PUNCT
cana-1734	45	23	low	low	ADJ
cana-1734	45	24	-	-	PUNCT
cana-1734	45	25	porosity	porosity	NOUN
cana-1734	45	26	materials	material	NOUN
cana-1734	45	27	.	.	PUNCT
cana-1734	46	1	in	in	ADP
cana-1734	46	2	non	non	ADJ
cana-1734	46	3	-	-	ADJ
cana-1734	46	4	newtonian	newtonian	ADJ
cana-1734	46	5	situations	situation	NOUN
cana-1734	46	6	,	,	PUNCT
cana-1734	46	7	when	when	SCONJ
cana-1734	46	8	normal	normal	ADJ
cana-1734	46	9	flow	flow	NOUN
cana-1734	46	10	models	model	NOUN
cana-1734	46	11	are	be	AUX
cana-1734	46	12	inadequate	inadequate	ADJ
cana-1734	46	13	,	,	PUNCT
cana-1734	46	14	it	it	PRON
cana-1734	46	15	is	be	AUX
cana-1734	46	16	useful	useful	ADJ
cana-1734	46	17	overall	overall	NOUN
cana-1734	46	18	.	.	PUNCT
cana-1734	47	1	it	it	PRON
cana-1734	47	2	occurs	occur	VERB
cana-1734	47	3	when	when	SCONJ
cana-1734	47	4	there	there	PRON
cana-1734	47	5	is	be	VERB
cana-1734	47	6	a	a	DET
cana-1734	47	7	tightly	tightly	ADV
cana-1734	47	8	packed	pack	VERB
cana-1734	47	9	medium	medium	NOUN
cana-1734	47	10	with	with	ADP
cana-1734	47	11	a	a	DET
cana-1734	47	12	lower	low	ADJ
cana-1734	47	13	porosity	porosity	NOUN
cana-1734	47	14	.	.	PUNCT
cana-1734	48	1	a	a	DET
cana-1734	48	2	study	study	NOUN
cana-1734	48	3	conducted	conduct	VERB
cana-1734	48	4	by	by	ADP
cana-1734	48	5	shenoy	shenoy	NOUN
cana-1734	48	6	[	[	X
cana-1734	48	7	15	15	NUM
cana-1734	48	8	]	]	PUNCT
cana-1734	48	9	examined	examine	VERB
cana-1734	48	10	the	the	DET
cana-1734	48	11	mixed	mixed	ADJ
cana-1734	48	12	,	,	PUNCT
cana-1734	48	13	natural	natural	ADJ
cana-1734	48	14	,	,	PUNCT
cana-1734	48	15	and	and	CCONJ
cana-1734	48	16	forced	force	VERB
cana-1734	48	17	convection	convection	NOUN
cana-1734	48	18	phenomena	phenomenon	NOUN
cana-1734	48	19	that	that	PRON
cana-1734	48	20	can	can	AUX
cana-1734	48	21	occur	occur	VERB
cana-1734	48	22	in	in	ADP
cana-1734	48	23	non	non	ADJ
cana-1734	48	24	-	-	ADJ
cana-1734	48	25	isothermal	isothermal	ADJ
cana-1734	48	26	structures	structure	NOUN
cana-1734	48	27	.	.	PUNCT
cana-1734	49	1	they	they	PRON
cana-1734	49	2	were	be	AUX
cana-1734	49	3	immersed	immerse	VERB
cana-1734	49	4	in	in	ADP
cana-1734	49	5	a	a	DET
cana-1734	49	6	type	type	NOUN
cana-1734	49	7	of	of	ADP
cana-1734	49	8	porous	porous	ADJ
cana-1734	49	9	medium	medium	NOUN
cana-1734	49	10	that	that	PRON
cana-1734	49	11	was	be	AUX
cana-1734	49	12	saturated	saturate	VERB
cana-1734	49	13	with	with	ADP
cana-1734	49	14	a	a	DET
cana-1734	49	15	power	power	NOUN
cana-1734	49	16	-	-	PUNCT
cana-1734	49	17	law	law	NOUN
cana-1734	49	18	fluid	fluid	NOUN
cana-1734	49	19	.	.	PUNCT
cana-1734	50	1	later	later	ADV
cana-1734	50	2	,	,	PUNCT
cana-1734	50	3	the	the	DET
cana-1734	50	4	two	two	NUM
cana-1734	50	5	-	-	PUNCT
cana-1734	50	6	dimensional	dimensional	ADJ
cana-1734	50	7	darcyforchheimer	darcyforchheimer	NOUN
cana-1734	50	8	flow	flow	NOUN
cana-1734	50	9	of	of	ADP
cana-1734	50	10	maxwell	maxwell	PROPN
cana-1734	50	11	fluid	fluid	NOUN
cana-1734	50	12	towards	towards	ADP
cana-1734	50	13	a	a	DET
cana-1734	50	14	convectively	convectively	ADV
cana-1734	50	15	heated	heat	VERB
cana-1734	50	16	sheet	sheet	NOUN
cana-1734	50	17	was	be	AUX
cana-1734	50	18	studied	study	VERB
cana-1734	50	19	by	by	ADP
cana-1734	50	20	sadiq	sadiq	PROPN
cana-1734	50	21	&	&	CCONJ
cana-1734	50	22	hayat	hayat	PROPN
cana-1734	51	1	[	[	X
cana-1734	51	2	16	16	NUM
cana-1734	51	3	]	]	PUNCT
cana-1734	51	4	.	.	PUNCT
cana-1734	52	1	a	a	DET
cana-1734	52	2	study	study	NOUN
cana-1734	52	3	conducted	conduct	VERB
cana-1734	52	4	by	by	ADP
cana-1734	52	5	vishnu	vishnu	ADJ
cana-1734	52	6	ganesh	ganesh	PROPN
cana-1734	52	7	et	et	PROPN
cana-1734	52	8	al	al	PROPN
cana-1734	52	9	.	.	PUNCT
cana-1734	53	1	[	[	X
cana-1734	53	2	17	17	NUM
cana-1734	53	3	]	]	PUNCT
cana-1734	53	4	analyzed	analyze	VERB
cana-1734	53	5	the	the	DET
cana-1734	53	6	effects	effect	NOUN
cana-1734	53	7	of	of	ADP
cana-1734	53	8	ohmic	ohmic	ADJ
cana-1734	53	9	dissipations	dissipation	NOUN
cana-1734	53	10	,	,	PUNCT
cana-1734	53	11	second	second	ADJ
cana-1734	53	12	-	-	PUNCT
cana-1734	53	13	order	order	NOUN
cana-1734	53	14	slip	slip	NOUN
cana-1734	53	15	,	,	PUNCT
cana-1734	53	16	and	and	CCONJ
cana-1734	53	17	viscosity	viscosity	NOUN
cana-1734	53	18	on	on	ADP
cana-1734	53	19	the	the	DET
cana-1734	53	20	hydro	hydro	NOUN
cana-1734	53	21	magnetic	magnetic	PROPN
cana-1734	53	22	nanofluid	nanofluid	PROPN
cana-1734	53	23	's	's	PART
cana-1734	53	24	flow	flow	NOUN
cana-1734	53	25	in	in	ADP
cana-1734	53	26	a	a	DET
cana-1734	53	27	porous	porous	ADJ
cana-1734	53	28	medium	medium	NOUN
cana-1734	53	29	.	.	PUNCT
cana-1734	54	1	they	they	PRON
cana-1734	54	2	found	find	VERB
cana-1734	54	3	that	that	SCONJ
cana-1734	54	4	the	the	DET
cana-1734	54	5	flow	flow	NOUN
cana-1734	54	6	was	be	AUX
cana-1734	54	7	directed	direct	VERB
cana-1734	54	8	toward	toward	ADP
cana-1734	54	9	a	a	DET
cana-1734	54	10	shrinking	shrink	VERB
cana-1734	54	11	or	or	CCONJ
cana-1734	54	12	stretching	stretch	VERB
cana-1734	54	13	surface	surface	NOUN
cana-1734	54	14	.	.	PUNCT
cana-1734	55	1	sadiq	sadiq	PROPN
cana-1734	55	2	et	et	PROPN
cana-1734	55	3	al	al	PROPN
cana-1734	55	4	.	.	PUNCT
cana-1734	56	1	[	[	X
cana-1734	56	2	18	18	NUM
cana-1734	56	3	]	]	PUNCT
cana-1734	56	4	performed	perform	VERB
cana-1734	56	5	a	a	DET
cana-1734	56	6	similar	similar	ADJ
cana-1734	56	7	study	study	NOUN
cana-1734	56	8	by	by	ADP
cana-1734	56	9	using	use	VERB
cana-1734	56	10	the	the	DET
cana-1734	56	11	darcy	darcy	PROPN
cana-1734	56	12	-	-	PUNCT
cana-1734	56	13	forchheimer	forchheimer	PROPN
cana-1734	56	14	model	model	NOUN
cana-1734	56	15	on	on	ADP
cana-1734	56	16	a	a	DET
cana-1734	56	17	convectively	convectively	ADV
cana-1734	56	18	heated	heat	VERB
cana-1734	56	19	sheet	sheet	NOUN
cana-1734	56	20	.	.	PUNCT
cana-1734	57	1	in	in	ADP
cana-1734	57	2	a	a	DET
cana-1734	57	3	study	study	NOUN
cana-1734	57	4	by	by	ADP
cana-1734	57	5	khan	khan	PROPN
cana-1734	57	6	et	et	PROPN
cana-1734	57	7	al	al	PROPN
cana-1734	57	8	.	.	PUNCT
cana-1734	58	1	[	[	X
cana-1734	58	2	19	19	NUM
cana-1734	58	3	]	]	PUNCT
cana-1734	58	4	,	,	PUNCT
cana-1734	58	5	they	they	PRON
cana-1734	58	6	determined	determine	VERB
cana-1734	58	7	the	the	DET
cana-1734	58	8	optimal	optimal	ADJ
cana-1734	58	9	flow	flow	NOUN
cana-1734	58	10	rate	rate	NOUN
cana-1734	58	11	for	for	ADP
cana-1734	58	12	the	the	DET
cana-1734	58	13	carreau	carreau	PROPN
cana-1734	58	14	-	-	PUNCT
cana-1734	58	15	yasuda	yasuda	PROPN
cana-1734	58	16	fluid	fluid	NOUN
cana-1734	58	17	on	on	ADP
cana-1734	58	18	a	a	DET
cana-1734	58	19	flat	flat	ADJ
cana-1734	58	20	surface	surface	NOUN
cana-1734	58	21	with	with	ADP
cana-1734	58	22	first	first	ADJ
cana-1734	58	23	-	-	PUNCT
cana-1734	58	24	order	order	NOUN
cana-1734	58	25	velocity	velocity	NOUN
cana-1734	58	26	slip	slip	NOUN
cana-1734	58	27	and	and	CCONJ
cana-1734	58	28	darcy	darcy	PROPN
cana-1734	58	29	-	-	PUNCT
cana-1734	58	30	forchheimer	forchheimer	PROPN
cana-1734	58	31	flow	flow	NOUN
cana-1734	58	32	.	.	PUNCT
cana-1734	59	1	a	a	DET
cana-1734	59	2	study	study	NOUN
cana-1734	59	3	conducted	conduct	VERB
cana-1734	59	4	by	by	ADP
cana-1734	59	5	rasool	rasool	PROPN
cana-1734	59	6	et	et	PROPN
cana-1734	59	7	al	al	PROPN
cana-1734	59	8	.	.	PUNCT
cana-1734	60	1	[	[	X
cana-1734	60	2	20	20	NUM
cana-1734	60	3	]	]	PUNCT
cana-1734	60	4	revealed	reveal	VERB
cana-1734	60	5	the	the	DET
cana-1734	60	6	influence	influence	NOUN
cana-1734	60	7	of	of	ADP
cana-1734	60	8	copper	copper	NOUN
cana-1734	60	9	and	and	CCONJ
cana-1734	60	10	alumina	alumina	VERB
cana-1734	60	11	on	on	ADP
cana-1734	60	12	the	the	DET
cana-1734	60	13	flow	flow	NOUN
cana-1734	60	14	behavior	behavior	NOUN
cana-1734	60	15	of	of	ADP
cana-1734	60	16	an	an	DET
cana-1734	60	17	electromechanical	electromechanical	ADJ
cana-1734	60	18	nanofluid	nanofluid	NOUN
cana-1734	60	19	made	make	VERB
cana-1734	60	20	up	up	ADP
cana-1734	60	21	of	of	ADP
cana-1734	60	22	motor	motor	NOUN
cana-1734	60	23	oil	oil	NOUN
cana-1734	60	24	through	through	ADP
cana-1734	60	25	a	a	DET
cana-1734	60	26	porous	porous	ADJ
cana-1734	60	27	media	medium	NOUN
cana-1734	60	28	known	know	VERB
cana-1734	60	29	as	as	ADP
cana-1734	60	30	darcyforchheimer	darcyforchheimer	NOUN
cana-1734	60	31	.	.	PUNCT
cana-1734	61	1	after	after	ADP
cana-1734	61	2	the	the	DET
cana-1734	61	3	thorough	thorough	ADJ
cana-1734	61	4	examination	examination	NOUN
cana-1734	61	5	,	,	PUNCT
cana-1734	61	6	practically	practically	ADV
cana-1734	61	7	the	the	DET
cana-1734	61	8	high	high	ADJ
cana-1734	61	9	porosity	porosity	NOUN
cana-1734	61	10	was	be	AUX
cana-1734	61	11	involved	involve	VERB
cana-1734	61	12	in	in	ADP
cana-1734	61	13	the	the	DET
cana-1734	61	14	case	case	NOUN
cana-1734	61	15	of	of	ADP
cana-1734	61	16	nonnewtonian	nonnewtonian	NOUN
cana-1734	61	17	fluids	fluid	NOUN
cana-1734	61	18	,	,	PUNCT
cana-1734	61	19	which	which	PRON
cana-1734	61	20	are	be	AUX
cana-1734	61	21	hard	hard	ADJ
cana-1734	61	22	to	to	PART
cana-1734	61	23	find	find	VERB
cana-1734	61	24	out	out	ADP
cana-1734	61	25	,	,	PUNCT
cana-1734	61	26	and	and	CCONJ
cana-1734	61	27	therefore	therefore	ADV
cana-1734	61	28	,	,	PUNCT
cana-1734	61	29	the	the	DET
cana-1734	61	30	brinkman	brinkman	PROPN
cana-1734	61	31	effects	effect	NOUN
cana-1734	61	32	are	be	AUX
cana-1734	61	33	not	not	PART
cana-1734	61	34	important	important	ADJ
cana-1734	61	35	while	while	SCONJ
cana-1734	61	36	dealing	deal	VERB
cana-1734	61	37	with	with	ADP
cana-1734	61	38	non	non	ADJ
cana-1734	61	39	-	-	ADJ
cana-1734	61	40	newtonian	newtonian	ADJ
cana-1734	61	41	fluids	fluid	NOUN
cana-1734	61	42	.	.	PUNCT
cana-1734	62	1	hence	hence	ADV
cana-1734	62	2	,	,	PUNCT
cana-1734	62	3	in	in	ADP
cana-1734	62	4	the	the	DET
cana-1734	62	5	present	present	ADJ
cana-1734	62	6	study	study	NOUN
cana-1734	62	7	we	we	PRON
cana-1734	62	8	have	have	AUX
cana-1734	62	9	considered	consider	VERB
cana-1734	62	10	the	the	DET
cana-1734	62	11	darcyforchheimer	darcyforchheimer	ADJ
cana-1734	62	12	model	model	NOUN
cana-1734	62	13	for	for	ADP
cana-1734	62	14	the	the	DET
cana-1734	62	15	casson	casson	PROPN
cana-1734	62	16	fluid	fluid	NOUN
cana-1734	62	17	over	over	ADP
cana-1734	62	18	a	a	DET
cana-1734	62	19	rotating	rotate	VERB
cana-1734	62	20	disk	disk	NOUN
cana-1734	62	21	to	to	PART
cana-1734	62	22	get	get	VERB
cana-1734	62	23	better	well	ADJ
cana-1734	62	24	results	result	NOUN
cana-1734	62	25	.	.	PUNCT
cana-1734	63	1	2	2	X
cana-1734	63	2	.	.	X
cana-1734	63	3	mathematical	mathematical	ADJ
cana-1734	63	4	formulation	formulation	NOUN
cana-1734	63	5	consider	consider	VERB
cana-1734	63	6	a	a	DET
cana-1734	63	7	3d	3d	NUM
cana-1734	63	8	steady	steady	ADJ
cana-1734	63	9	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1734	63	10	(	(	PUNCT
cana-1734	63	11	mhd	mhd	NOUN
cana-1734	63	12	)	)	PUNCT
cana-1734	63	13	fluid	fluid	NOUN
cana-1734	63	14	dynamics	dynamic	NOUN
cana-1734	63	15	is	be	AUX
cana-1734	63	16	involved	involve	VERB
cana-1734	63	17	in	in	ADP
cana-1734	63	18	the	the	DET
cana-1734	63	19	study	study	NOUN
cana-1734	63	20	of	of	ADP
cana-1734	63	21	the	the	DET
cana-1734	63	22	motion	motion	NOUN
cana-1734	63	23	of	of	ADP
cana-1734	63	24	casson	casson	PROPN
cana-1734	63	25	nanofluid	nanofluid	PROPN
cana-1734	63	26	,	,	PUNCT
cana-1734	63	27	which	which	PRON
cana-1734	63	28	is	be	AUX
cana-1734	63	29	a	a	DET
cana-1734	63	30	semiconducting	semiconducting	NOUN
cana-1734	63	31	suspension	suspension	NOUN
cana-1734	63	32	of	of	ADP
cana-1734	63	33	metallic	metallic	ADJ
cana-1734	63	34	particles	particle	NOUN
cana-1734	63	35	at	at	ADP
cana-1734	63	36	the	the	DET
cana-1734	63	37	nano	nano	NOUN
cana-1734	63	38	communications	communication	NOUN
cana-1734	63	39	on	on	ADP
cana-1734	63	40	applied	apply	VERB
cana-1734	63	41	nonlinear	nonlinear	ADJ
cana-1734	63	42	analysis	analysis	NOUN
cana-1734	63	43	issn	issn	NOUN
cana-1734	63	44	:	:	PUNCT
cana-1734	63	45	1074	1074	NUM
cana-1734	63	46	-	-	PUNCT
cana-1734	63	47	133x	133x	NUM
cana-1734	63	48	vol	vol	NOUN
cana-1734	63	49	32	32	NUM
cana-1734	63	50	no	no	NOUN
cana-1734	63	51	.	.	NOUN
cana-1734	63	52	2	2	NUM
cana-1734	63	53	(	(	PUNCT
cana-1734	63	54	2025	2025	NUM
cana-1734	63	55	)	)	PUNCT
cana-1734	63	56	177	177	NUM
cana-1734	63	57	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1734	63	58	scale	scale	NOUN
cana-1734	63	59	.	.	PUNCT
cana-1734	64	1	particular	particular	ADJ
cana-1734	64	2	issues	issue	NOUN
cana-1734	64	3	pertaining	pertain	VERB
cana-1734	64	4	to	to	ADP
cana-1734	64	5	the	the	DET
cana-1734	64	6	slip	slip	NOUN
cana-1734	64	7	dynamics	dynamic	NOUN
cana-1734	64	8	have	have	AUX
cana-1734	64	9	been	be	AUX
cana-1734	64	10	identified	identify	VERB
cana-1734	64	11	.	.	PUNCT
cana-1734	65	1	the	the	DET
cana-1734	65	2	angular	angular	ADJ
cana-1734	65	3	velocity	velocity	NOUN
cana-1734	65	4	ω	ω	PROPN
cana-1734	65	5	and	and	CCONJ
cana-1734	65	6	constants	constant	NOUN
cana-1734	65	7	of	of	ADP
cana-1734	65	8	the	the	DET
cana-1734	65	9	disk	disk	NOUN
cana-1734	65	10	determine	determine	NOUN
cana-1734	65	11	its	its	PRON
cana-1734	65	12	rotation	rotation	NOUN
cana-1734	65	13	at	at	ADP
cana-1734	65	14	z	z	PROPN
cana-1734	65	15	=	=	SYM
cana-1734	65	16	0	0	PROPN
cana-1734	65	17	.	.	PUNCT
cana-1734	66	1	the	the	DET
cana-1734	66	2	electric	electric	ADJ
cana-1734	66	3	field	field	NOUN
cana-1734	66	4	's	's	PART
cana-1734	66	5	influence	influence	NOUN
cana-1734	66	6	can	can	AUX
cana-1734	66	7	also	also	ADV
cana-1734	66	8	be	be	AUX
cana-1734	66	9	observed	observe	VERB
cana-1734	66	10	due	due	ADP
cana-1734	66	11	to	to	ADP
cana-1734	66	12	the	the	DET
cana-1734	66	13	hall	hall	PROPN
cana-1734	66	14	current	current	ADJ
cana-1734	66	15	.	.	PUNCT
cana-1734	67	1	rheological	rheological	ADJ
cana-1734	67	2	of	of	ADP
cana-1734	67	3	casson	casson	PROPN
cana-1734	67	4	fluid	fluid	NOUN
cana-1734	67	5	is	be	AUX
cana-1734	67	6	as	as	SCONJ
cana-1734	67	7	follows	follow	VERB
cana-1734	67	8	nayak	nayak	PROPN
cana-1734	67	9	et	et	PROPN
cana-1734	67	10	al	al	PROPN
cana-1734	67	11	.	.	PROPN
cana-1734	67	12	,	,	PUNCT
cana-1734	68	1	[	[	X
cana-1734	68	2	21	21	NUM
cana-1734	68	3	]	]	PUNCT
cana-1734	68	4	and	and	CCONJ
cana-1734	68	5	waqas	waqas	PROPN
cana-1734	68	6	et	et	PROPN
cana-1734	68	7	al	al	PROPN
cana-1734	68	8	.	.	PUNCT
cana-1734	69	1	[	[	X
cana-1734	69	2	22	22	NUM
cana-1734	69	3	]	]	PUNCT
cana-1734	69	4	.	.	PUNCT
cana-1734	69	5	𝜏𝑖𝑗	𝜏𝑖𝑗	PROPN
cana-1734	69	6	=	=	SYM
cana-1734	69	7	{	{	PUNCT
cana-1734	69	8	2	2	NUM
cana-1734	69	9	(	(	PUNCT
cana-1734	69	10	𝜇𝐵	𝜇𝐵	NOUN
cana-1734	69	11	+	+	CCONJ
cana-1734	69	12	𝑃𝑦	𝑃𝑦	PROPN
cana-1734	69	13	√2𝜋	√2𝜋	PROPN
cana-1734	69	14	)	)	PUNCT
cana-1734	69	15	𝑒𝑖𝑗	𝑒𝑖𝑗	NOUN
cana-1734	69	16	;	;	PUNCT
cana-1734	69	17	𝜋	𝜋	X
cana-1734	69	18	>	>	X
cana-1734	69	19	𝜋𝑐	𝜋𝑐	ADP
cana-1734	69	20	2	2	NUM
cana-1734	69	21	(	(	PUNCT
cana-1734	69	22	𝜇𝐵	𝜇𝐵	NOUN
cana-1734	69	23	+	+	CCONJ
cana-1734	69	24	𝑃𝑦	𝑃𝑦	PROPN
cana-1734	69	25	√2𝜋𝑐	√2𝜋𝑐	PROPN
cana-1734	69	26	)	)	PUNCT
cana-1734	69	27	𝑒𝑖𝑗	𝑒𝑖𝑗	NOUN
cana-1734	69	28	;	;	PUNCT
cana-1734	69	29	𝜋	𝜋	NOUN
cana-1734	69	30	<	<	X
cana-1734	69	31	𝜋𝑐	𝜋𝑐	X
cana-1734	69	32	(	(	PUNCT
cana-1734	69	33	1	1	NUM
cana-1734	69	34	)	)	PUNCT
cana-1734	69	35	here	here	ADV
cana-1734	69	36	𝑒𝑖𝑗	𝑒𝑖𝑗	PROPN
cana-1734	69	37	denotes	denote	VERB
cana-1734	69	38	the	the	DET
cana-1734	69	39	rate	rate	NOUN
cana-1734	69	40	component	component	NOUN
cana-1734	69	41	of	of	ADP
cana-1734	69	42	(	(	PUNCT
cana-1734	69	43	𝑖	𝑖	PROPN
cana-1734	69	44	,	,	PUNCT
cana-1734	69	45	𝑗)𝑡ℎ	𝑗)𝑡ℎ	PROPN
cana-1734	69	46	,	,	PUNCT
cana-1734	69	47	𝜋	𝜋	NOUN
cana-1734	69	48	denotes	denote	VERB
cana-1734	69	49	the	the	DET
cana-1734	69	50	product	product	NOUN
cana-1734	69	51	component	component	NOUN
cana-1734	69	52	of	of	ADP
cana-1734	69	53	the	the	DET
cana-1734	69	54	deformation	deformation	NOUN
cana-1734	69	55	rate	rate	NOUN
cana-1734	69	56	itself	itself	PRON
cana-1734	69	57	,	,	PUNCT
cana-1734	69	58	𝜋𝑐	𝜋𝑐	PROPN
cana-1734	69	59	is	be	AUX
cana-1734	69	60	based	base	VERB
cana-1734	69	61	upon	upon	SCONJ
cana-1734	69	62	nonnewtonian	nonnewtonian	NOUN
cana-1734	69	63	relation	relation	NOUN
cana-1734	69	64	,	,	PUNCT
cana-1734	69	65	𝑃𝑦	𝑃𝑦	PROPN
cana-1734	69	66	denotes	denote	NOUN
cana-1734	69	67	fluid	fluid	ADJ
cana-1734	69	68	yieldstress	yieldstress	NOUN
cana-1734	69	69	and	and	CCONJ
cana-1734	69	70	𝜇𝐵denotes	𝜇𝐵denotes	PROPN
cana-1734	69	71	non	non	ADJ
cana-1734	69	72	-	-	ADJ
cana-1734	69	73	newtonian	newtonian	ADJ
cana-1734	69	74	relation	relation	NOUN
cana-1734	69	75	fluid	fluid	NOUN
cana-1734	69	76	plastic	plastic	NOUN
cana-1734	69	77	dynamic	dynamic	ADJ
cana-1734	69	78	-	-	PUNCT
cana-1734	69	79	viscosity	viscosity	NOUN
cana-1734	69	80	.	.	PUNCT
cana-1734	70	1	if	if	SCONJ
cana-1734	70	2	𝜋	𝜋	PRON
cana-1734	70	3	<	<	X
cana-1734	70	4	𝜋𝑐	𝜋𝑐	ADJ
cana-1734	70	5	expression	expression	NOUN
cana-1734	70	6	(	(	PUNCT
cana-1734	70	7	1	1	X
cana-1734	70	8	)	)	PUNCT
cana-1734	70	9	can	can	AUX
cana-1734	70	10	be	be	AUX
cana-1734	70	11	modified	modify	VERB
cana-1734	70	12	into	into	ADP
cana-1734	70	13	𝜏𝑖𝑗	𝜏𝑖𝑗	PROPN
cana-1734	70	14	=	=	PUNCT
cana-1734	71	1	𝜇𝐵((1	𝜇𝐵((1	PROPN
cana-1734	71	2	+	+	CCONJ
cana-1734	71	3	1	1	NUM
cana-1734	71	4	𝛾	𝛾	NOUN
cana-1734	71	5	)	)	PUNCT
cana-1734	71	6	2𝑒𝑖𝑗.	2𝑒𝑖𝑗.	NUM
cana-1734	71	7	the	the	DET
cana-1734	71	8	upper	upper	ADJ
cana-1734	71	9	half	half	NOUN
cana-1734	71	10	of	of	ADP
cana-1734	71	11	plate	plate	NOUN
cana-1734	71	12	is	be	AUX
cana-1734	71	13	filed	file	VERB
cana-1734	71	14	with	with	ADP
cana-1734	71	15	nano	nano	NOUN
cana-1734	71	16	fluid	fluid	NOUN
cana-1734	71	17	.	.	PUNCT
cana-1734	72	1	the	the	DET
cana-1734	72	2	surface	surface	NOUN
cana-1734	72	3	temperature	temperature	NOUN
cana-1734	72	4	𝑇𝑤	𝑇𝑤	PROPN
cana-1734	72	5	is	be	AUX
cana-1734	72	6	higher	high	ADJ
cana-1734	72	7	than	than	ADP
cana-1734	72	8	the	the	DET
cana-1734	72	9	ambient	ambient	ADJ
cana-1734	72	10	fluid	fluid	ADJ
cana-1734	72	11	temperature	temperature	NOUN
cana-1734	72	12	𝑇∞.	𝑇∞.	X
cana-1734	72	13	the	the	DET
cana-1734	72	14	volumetric	volumetric	ADJ
cana-1734	72	15	concentration	concentration	NOUN
cana-1734	72	16	𝐶𝑤	𝐶𝑤	PROPN
cana-1734	72	17	for	for	ADP
cana-1734	72	18	ambient	ambient	ADJ
cana-1734	72	19	fluid	fluid	NOUN
cana-1734	72	20	is𝐶∞	is𝐶∞	NOUN
cana-1734	72	21	.the	.the	DET
cana-1734	72	22	radiation	radiation	NOUN
cana-1734	72	23	is	be	AUX
cana-1734	72	24	also	also	ADV
cana-1734	72	25	embedded	embed	VERB
cana-1734	72	26	in	in	ADP
cana-1734	72	27	the	the	DET
cana-1734	72	28	energy	energy	NOUN
cana-1734	72	29	equation	equation	NOUN
cana-1734	72	30	profile	profile	NOUN
cana-1734	72	31	in	in	ADP
cana-1734	72	32	the	the	DET
cana-1734	72	33	existence	existence	NOUN
cana-1734	72	34	of	of	ADP
cana-1734	72	35	thermophoretic	thermophoretic	ADJ
cana-1734	72	36	and	and	CCONJ
cana-1734	72	37	brownian	brownian	ADJ
cana-1734	72	38	diffusion	diffusion	NOUN
cana-1734	72	39	effects	effect	NOUN
cana-1734	72	40	.	.	PUNCT
cana-1734	73	1	boundary	boundary	ADJ
cana-1734	73	2	conditions	condition	NOUN
cana-1734	73	3	were	be	AUX
cana-1734	73	4	considered	consider	VERB
cana-1734	73	5	.	.	PUNCT
cana-1734	74	1	the	the	DET
cana-1734	74	2	heat	heat	NOUN
cana-1734	74	3	flow	flow	NOUN
cana-1734	74	4	activation	activation	NOUN
cana-1734	74	5	energy	energy	NOUN
cana-1734	74	6	from	from	ADP
cana-1734	74	7	c	c	NOUN
cana-1734	74	8	-	-	PUNCT
cana-1734	74	9	c	c	NOUN
cana-1734	74	10	in	in	ADP
cana-1734	74	11	a	a	DET
cana-1734	74	12	porous	porous	ADJ
cana-1734	74	13	material	material	NOUN
cana-1734	74	14	was	be	AUX
cana-1734	74	15	also	also	ADV
cana-1734	74	16	studied	study	VERB
cana-1734	74	17	.	.	PUNCT
cana-1734	75	1	the	the	DET
cana-1734	75	2	governing	govern	VERB
cana-1734	75	3	equations	equation	NOUN
cana-1734	75	4	are	be	AUX
cana-1734	75	5	waqas	waqas	ADJ
cana-1734	75	6	et	et	PROPN
cana-1734	75	7	al	al	PROPN
cana-1734	75	8	.	.	PUNCT
cana-1734	76	1	[	[	X
cana-1734	76	2	22	22	NUM
cana-1734	76	3	]	]	PUNCT
cana-1734	76	4	and	and	CCONJ
cana-1734	76	5	lv	lv	INTJ
cana-1734	76	6	et	et	PROPN
cana-1734	76	7	al	al	PROPN
cana-1734	76	8	.	.	PUNCT
cana-1734	77	1	[	[	X
cana-1734	77	2	23	23	NUM
cana-1734	77	3	]	]	X
cana-1734	77	4	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	77	5	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	77	6	+	+	CCONJ
cana-1734	77	7	𝑢	𝑢	PROPN
cana-1734	77	8	𝑟	𝑟	NOUN
cana-1734	77	9	+	+	CCONJ
cana-1734	77	10	𝜕𝑤	𝜕𝑤	VERB
cana-1734	77	11	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	77	12	=	=	SYM
cana-1734	77	13	0	0	PUNCT
cana-1734	77	14	(	(	PUNCT
cana-1734	77	15	2	2	NUM
cana-1734	77	16	)	)	PUNCT
cana-1734	77	17	𝜌𝑓	𝜌𝑓	NOUN
cana-1734	77	18	(	(	PUNCT
cana-1734	77	19	𝑢	𝑢	X
cana-1734	77	20	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	77	21	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	78	1	−	−	NOUN
cana-1734	78	2	𝑣2	𝑣2	NOUN
cana-1734	78	3	𝑟	𝑟	X
cana-1734	78	4	+	+	CCONJ
cana-1734	78	5	𝑤	𝑤	PUNCT
cana-1734	78	6	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	78	7	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	78	8	)	)	PUNCT
cana-1734	79	1	=	=	SYM
cana-1734	80	1	−	−	PROPN
cana-1734	80	2	𝜕𝑃	𝜕𝑃	NUM
cana-1734	81	1	𝜕𝑟	𝜕𝑟	ADP
cana-1734	81	2	+	+	X
cana-1734	81	3	𝜇𝑓	𝜇𝑓	PROPN
cana-1734	81	4	(	(	PUNCT
cana-1734	81	5	1	1	NUM
cana-1734	81	6	+	+	SYM
cana-1734	81	7	1	1	NUM
cana-1734	81	8	𝛽	𝛽	NOUN
cana-1734	81	9	)	)	PUNCT
cana-1734	81	10	(	(	PUNCT
cana-1734	81	11	𝜕2𝑢	𝜕2𝑢	NUM
cana-1734	81	12	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	81	13	+	+	CCONJ
cana-1734	81	14	1	1	NUM
cana-1734	81	15	𝑟	𝑟	NOUN
cana-1734	81	16	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	81	17	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	81	18	−	−	NOUN
cana-1734	81	19	𝑢	𝑢	PART
cana-1734	81	20	𝑟2	𝑟2	NOUN
cana-1734	81	21	+	+	CCONJ
cana-1734	81	22	𝜕2𝑢	𝜕2𝑢	NUM
cana-1734	81	23	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	81	24	)	)	PUNCT
cana-1734	81	25	−	−	PROPN
cana-1734	81	26	𝜎𝑓𝐵0	𝜎𝑓𝐵0	NUM
cana-1734	81	27	2𝑢	2𝑢	NUM
cana-1734	81	28	−	−	PROPN
cana-1734	81	29	𝜈	𝜈	X
cana-1734	81	30	𝑘∗	𝑘∗	PROPN
cana-1734	81	31	𝑢	𝑢	PRON
cana-1734	81	32	−	−	PROPN
cana-1734	81	33	𝐹𝑟𝑢2	𝐹𝑟𝑢2	NUM
cana-1734	81	34	(	(	PUNCT
cana-1734	81	35	3	3	NUM
cana-1734	81	36	)	)	PUNCT
cana-1734	81	37	𝜌𝑓	𝜌𝑓	NOUN
cana-1734	81	38	(	(	PUNCT
cana-1734	81	39	𝑢	𝑢	X
cana-1734	81	40	𝜕𝑣	𝜕𝑣	NOUN
cana-1734	81	41	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	82	1	+	+	CCONJ
cana-1734	82	2	𝑢𝑣	𝑢𝑣	NOUN
cana-1734	82	3	𝑟	𝑟	NOUN
cana-1734	82	4	+	+	CCONJ
cana-1734	82	5	𝑤	𝑤	ADP
cana-1734	82	6	𝜕𝑣	𝜕𝑣	PROPN
cana-1734	82	7	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	82	8	)	)	PUNCT
cana-1734	82	9	=	=	SYM
cana-1734	82	10	𝜇𝑓	𝜇𝑓	PROPN
cana-1734	82	11	(	(	PUNCT
cana-1734	82	12	1	1	NUM
cana-1734	82	13	+	+	SYM
cana-1734	82	14	1	1	NUM
cana-1734	82	15	𝛽	𝛽	NOUN
cana-1734	82	16	)	)	PUNCT
cana-1734	82	17	(	(	PUNCT
cana-1734	82	18	𝜕2𝑣	𝜕2𝑣	NOUN
cana-1734	82	19	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	82	20	+	+	CCONJ
cana-1734	82	21	1	1	NUM
cana-1734	82	22	𝑟	𝑟	NOUN
cana-1734	82	23	𝜕𝑣	𝜕𝑣	PROPN
cana-1734	82	24	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	82	25	−	−	NOUN
cana-1734	82	26	𝜈	𝜈	X
cana-1734	82	27	𝑟2	𝑟2	NOUN
cana-1734	82	28	+	+	CCONJ
cana-1734	82	29	𝜕2𝑣	𝜕2𝑣	NOUN
cana-1734	82	30	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	82	31	)	)	PUNCT
cana-1734	82	32	−	−	PROPN
cana-1734	83	1	𝜎𝑓𝐵0	𝜎𝑓𝐵0	NUM
cana-1734	83	2	2𝑣	2𝑣	NUM
cana-1734	83	3	−	−	NOUN
cana-1734	83	4	𝜈	𝜈	PRON
cana-1734	83	5	𝑘∗	𝑘∗	VERB
cana-1734	83	6	𝑣	𝑣	ADP
cana-1734	83	7	−	−	PROPN
cana-1734	83	8	𝐹𝑟𝑣2	𝐹𝑟𝑣2	PROPN
cana-1734	83	9	(	(	PUNCT
cana-1734	83	10	4	4	NUM
cana-1734	83	11	)	)	PUNCT
cana-1734	83	12	𝜌𝑓	𝜌𝑓	NOUN
cana-1734	83	13	(	(	PUNCT
cana-1734	83	14	𝑢	𝑢	X
cana-1734	83	15	𝜕𝑤	𝜕𝑤	NOUN
cana-1734	83	16	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	83	17	+	+	CCONJ
cana-1734	83	18	𝑤	𝑤	ADP
cana-1734	83	19	𝜕𝑤	𝜕𝑤	NOUN
cana-1734	83	20	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	83	21	)	)	PUNCT
cana-1734	84	1	=	=	SYM
cana-1734	85	1	−	−	PROPN
cana-1734	85	2	𝜕𝑃	𝜕𝑃	PROPN
cana-1734	85	3	𝜕𝑧	𝜕𝑧	PROPN
cana-1734	85	4	+	+	NOUN
cana-1734	85	5	𝜇𝑓	𝜇𝑓	PROPN
cana-1734	85	6	(	(	PUNCT
cana-1734	85	7	1	1	NUM
cana-1734	85	8	+	+	SYM
cana-1734	85	9	1	1	NUM
cana-1734	85	10	𝛽	𝛽	NOUN
cana-1734	85	11	)	)	PUNCT
cana-1734	85	12	(	(	PUNCT
cana-1734	85	13	𝜕2𝑤	𝜕2𝑤	ADP
cana-1734	85	14	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	85	15	+	+	CCONJ
cana-1734	85	16	1	1	NUM
cana-1734	85	17	𝑟	𝑟	NOUN
cana-1734	85	18	𝜕𝑤	𝜕𝑤	VERB
cana-1734	85	19	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	85	20	+	+	PUNCT
cana-1734	85	21	𝜕2𝑤	𝜕2𝑤	CCONJ
cana-1734	85	22	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	85	23	)	)	PUNCT
cana-1734	86	1	𝜎𝑓𝐵0	𝜎𝑓𝐵0	NUM
cana-1734	86	2	2𝑤	2𝑤	NUM
cana-1734	86	3	−	−	NOUN
cana-1734	86	4	𝜈	𝜈	PRON
cana-1734	86	5	𝑘∗	𝑘∗	VERB
cana-1734	86	6	𝑤	𝑤	ADP
cana-1734	86	7	−	−	NOUN
cana-1734	86	8	𝐹𝑟𝑤2	𝐹𝑟𝑤2	PRON
cana-1734	86	9	(	(	PUNCT
cana-1734	86	10	5	5	NUM
cana-1734	86	11	)	)	PUNCT
cana-1734	86	12	𝑢	𝑢	X
cana-1734	86	13	𝜕𝑇	𝜕𝑇	X
cana-1734	86	14	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	86	15	+	+	CCONJ
cana-1734	86	16	𝑤	𝑤	ADP
cana-1734	86	17	𝜕𝑇	𝜕𝑇	X
cana-1734	86	18	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	86	19	=	=	SYM
cana-1734	86	20	𝛼𝑚	𝛼𝑚	NOUN
cana-1734	86	21	(	(	PUNCT
cana-1734	86	22	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	86	23	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	86	24	+	+	CCONJ
cana-1734	86	25	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	86	26	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	86	27	+	+	CCONJ
cana-1734	86	28	1	1	NUM
cana-1734	86	29	𝑟	𝑟	NOUN
cana-1734	86	30	𝜕𝑇	𝜕𝑇	X
cana-1734	86	31	𝜕𝑟	𝜕𝑟	ADV
cana-1734	86	32	)	)	PUNCT
cana-1734	87	1	+	+	CCONJ
cana-1734	87	2	(	(	PUNCT
cana-1734	87	3	𝜌𝑐)𝑝	𝜌𝑐)𝑝	PROPN
cana-1734	87	4	(	(	PUNCT
cana-1734	87	5	𝜌𝑐)𝑓	𝜌𝑐)𝑓	NOUN
cana-1734	87	6	{	{	PUNCT
cana-1734	87	7	𝐷𝐵	𝐷𝐵	PROPN
cana-1734	87	8	(	(	PUNCT
cana-1734	87	9	𝜕𝑇	𝜕𝑇	X
cana-1734	87	10	𝜕𝑟	𝜕𝑟	ADP
cana-1734	87	11	𝜕𝐶	𝜕𝐶	NOUN
cana-1734	87	12	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	87	13	+	+	CCONJ
cana-1734	87	14	𝜕𝑇	𝜕𝑇	SYM
cana-1734	87	15	𝜕𝑧	𝜕𝑧	NUM
cana-1734	87	16	𝜕𝐶	𝜕𝐶	NUM
cana-1734	87	17	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	87	18	)	)	PUNCT
cana-1734	88	1	+	+	CCONJ
cana-1734	88	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1734	88	3	𝑇∞	𝑇∞	PROPN
cana-1734	88	4	(	(	PUNCT
cana-1734	88	5	(	(	PUNCT
cana-1734	88	6	𝜕𝑇	𝜕𝑇	X
cana-1734	88	7	𝜕𝑟	𝜕𝑟	X
cana-1734	88	8	)	)	PUNCT
cana-1734	88	9	2	2	NUM
cana-1734	88	10	+	+	CCONJ
cana-1734	88	11	(	(	PUNCT
cana-1734	88	12	𝜕𝑇	𝜕𝑇	X
cana-1734	88	13	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	88	14	)	)	PUNCT
cana-1734	88	15	2	2	NUM
cana-1734	88	16	)	)	PUNCT
cana-1734	88	17	}	}	PUNCT
cana-1734	88	18	−	−	PROPN
cana-1734	88	19	𝜆2	𝜆2	NOUN
cana-1734	88	20	(	(	PUNCT
cana-1734	88	21	𝑢2	𝑢2	PROPN
cana-1734	88	22	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	88	23	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	88	24	+	+	CCONJ
cana-1734	88	25	𝑤2	𝑤2	NOUN
cana-1734	88	26	𝜕2𝑇	𝜕2𝑇	NOUN
cana-1734	88	27	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	88	28	+	+	CCONJ
cana-1734	88	29	2𝑢𝑤	2𝑢𝑤	ADJ
cana-1734	88	30	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	88	31	𝜕𝑟𝜕𝑧	𝜕𝑟𝜕𝑧	PROPN
cana-1734	88	32	+	+	CCONJ
cana-1734	88	33	(	(	PUNCT
cana-1734	88	34	𝑢	𝑢	X
cana-1734	88	35	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	88	36	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	88	37	+	+	CCONJ
cana-1734	88	38	𝑤	𝑤	ADP
cana-1734	88	39	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	88	40	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	88	41	)	)	PUNCT
cana-1734	89	1	𝜕𝑇	𝜕𝑇	X
cana-1734	89	2	𝜕𝑟	𝜕𝑟	PUNCT
cana-1734	89	3	+	+	CCONJ
cana-1734	89	4	(	(	PUNCT
cana-1734	89	5	𝑢	𝑢	X
cana-1734	89	6	𝜕𝑤	𝜕𝑤	NOUN
cana-1734	89	7	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	89	8	+	+	CCONJ
cana-1734	89	9	𝑤	𝑤	ADP
cana-1734	89	10	𝜕𝑤	𝜕𝑤	NOUN
cana-1734	89	11	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	89	12	)	)	PUNCT
cana-1734	89	13	𝜕𝑇	𝜕𝑇	PROPN
cana-1734	89	14	𝜕𝑧	𝜕𝑧	NUM
cana-1734	89	15	)	)	PUNCT
cana-1734	90	1	+	+	CCONJ
cana-1734	90	2	𝑞∗	𝑞∗	ADJ
cana-1734	90	3	(	(	PUNCT
cana-1734	90	4	6	6	NUM
cana-1734	90	5	)	)	PUNCT
cana-1734	90	6	where	where	SCONJ
cana-1734	90	7	𝑞∗	𝑞∗	PROPN
cana-1734	90	8	=	=	SYM
cana-1734	90	9	𝑘∞𝑈𝑤	𝑘∞𝑈𝑤	PROPN
cana-1734	90	10	𝑧𝜈(𝜌𝑐)𝑓	𝑧𝜈(𝜌𝑐)𝑓	NOUN
cana-1734	90	11	{	{	PUNCT
cana-1734	90	12	𝐴∗(𝑇𝑤	𝐴∗(𝑇𝑤	NOUN
cana-1734	90	13	−	−	NOUN
cana-1734	90	14	𝑇∞)𝑓	𝑇∞)𝑓	NOUN
cana-1734	91	1	+	+	CCONJ
cana-1734	91	2	𝐵∗(𝑇	𝐵∗(𝑇	PRON
cana-1734	91	3	−	−	PROPN
cana-1734	91	4	𝑇∞	𝑇∞	PROPN
cana-1734	91	5	)	)	PUNCT
cana-1734	91	6	}	}	PUNCT
cana-1734	91	7	(	(	PUNCT
cana-1734	91	8	7	7	X
cana-1734	91	9	)	)	PUNCT
cana-1734	91	10	𝑢	𝑢	PROPN
cana-1734	91	11	𝜕𝐶	𝜕𝐶	PROPN
cana-1734	91	12	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	91	13	+	+	CCONJ
cana-1734	91	14	𝑤	𝑤	PART
cana-1734	91	15	𝜕𝐶	𝜕𝐶	NUM
cana-1734	91	16	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	91	17	=	=	SYM
cana-1734	91	18	𝐷𝐵	𝐷𝐵	PROPN
cana-1734	91	19	(	(	PUNCT
cana-1734	91	20	𝜕2𝐶	𝜕2𝐶	NOUN
cana-1734	91	21	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	91	22	+	+	CCONJ
cana-1734	91	23	𝜕2𝐶	𝜕2𝐶	VERB
cana-1734	91	24	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	91	25	+	+	CCONJ
cana-1734	91	26	1	1	NUM
cana-1734	91	27	𝑟	𝑟	NOUN
cana-1734	91	28	𝜕𝐶	𝜕𝐶	NOUN
cana-1734	91	29	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	91	30	)	)	PUNCT
cana-1734	92	1	+	+	CCONJ
cana-1734	92	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1734	92	3	𝑇∞	𝑇∞	PROPN
cana-1734	92	4	(	(	PUNCT
cana-1734	92	5	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	92	6	𝜕𝑟2	𝜕𝑟2	NOUN
cana-1734	92	7	+	+	CCONJ
cana-1734	92	8	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1734	92	9	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1734	92	10	+	+	CCONJ
cana-1734	92	11	1	1	NUM
cana-1734	92	12	𝑟	𝑟	NOUN
cana-1734	92	13	𝜕𝑇	𝜕𝑇	X
cana-1734	92	14	𝜕𝑟	𝜕𝑟	NOUN
cana-1734	92	15	)	)	PUNCT
cana-1734	92	16	(	(	PUNCT
cana-1734	92	17	8)	8)	NUM
cana-1734	92	18	where	where	SCONJ
cana-1734	92	19	the	the	DET
cana-1734	92	20	kinetic	kinetic	ADJ
cana-1734	92	21	energy	energy	NOUN
cana-1734	92	22	is	be	AUX
cana-1734	92	23	equal	equal	ADJ
cana-1734	92	24	to	to	ADP
cana-1734	92	25	𝜇𝑓	𝜇𝑓	PROPN
cana-1734	92	26	𝜌𝑓	𝜌𝑓	NOUN
cana-1734	92	27	.	.	PUNCT
cana-1734	93	1	here	here	ADV
cana-1734	93	2	𝜇𝑓	𝜇𝑓	PROPN
cana-1734	93	3	stands	stand	VERB
cana-1734	93	4	for	for	ADP
cana-1734	93	5	the	the	DET
cana-1734	93	6	dynamic	dynamic	ADJ
cana-1734	93	7	viscosity	viscosity	NOUN
cana-1734	93	8	and	and	CCONJ
cana-1734	93	9	the	the	DET
cana-1734	93	10	base	base	NOUN
cana-1734	93	11	liquid	liquid	ADJ
cana-1734	93	12	density	density	NOUN
cana-1734	93	13	𝜌𝑓	𝜌𝑓	NOUN
cana-1734	93	14	,	,	PUNCT
cana-1734	93	15	𝛼𝑚	𝛼𝑚	PROPN
cana-1734	93	16	=	=	SYM
cana-1734	93	17	𝑘1	𝑘1	PROPN
cana-1734	93	18	(	(	PUNCT
cana-1734	93	19	𝜌𝑐)𝑓	𝜌𝑐)𝑓	NOUN
cana-1734	93	20	stands	stand	VERB
cana-1734	93	21	for	for	ADP
cana-1734	93	22	the	the	DET
cana-1734	93	23	thermal	thermal	ADJ
cana-1734	93	24	diffusivity	diffusivity	NOUN
cana-1734	93	25	,	,	PUNCT
cana-1734	93	26	here	here	ADV
cana-1734	93	27	thermal	thermal	ADJ
cana-1734	93	28	conductivity	conductivity	NOUN
cana-1734	93	29	represented	represent	VERB
cana-1734	93	30	by	by	ADP
cana-1734	93	31	𝑘1	𝑘1	PROPN
cana-1734	93	32	,	,	PUNCT
cana-1734	93	33	the	the	DET
cana-1734	93	34	liquid	liquid	ADJ
cana-1734	93	35	heat	heat	NOUN
cana-1734	93	36	capacity	capacity	NOUN
cana-1734	93	37	and	and	CCONJ
cana-1734	93	38	nanoparticle	nanoparticle	NOUN
cana-1734	93	39	heat	heat	NOUN
cana-1734	93	40	capacity	capacity	NOUN
cana-1734	93	41	are	be	AUX
cana-1734	93	42	represented	represent	VERB
cana-1734	93	43	by	by	ADP
cana-1734	93	44	(	(	PUNCT
cana-1734	93	45	𝜌𝑐)𝑓	𝜌𝑐)𝑓	PROPN
cana-1734	93	46	and	and	CCONJ
cana-1734	93	47	(	(	PUNCT
cana-1734	93	48	𝜌𝑐)𝑝	𝜌𝑐)𝑝	PROPN
cana-1734	93	49	respectively	respectively	ADV
cana-1734	93	50	,	,	PUNCT
cana-1734	93	51	casson	casson	PROPN
cana-1734	93	52	parameter	parameter	PROPN
cana-1734	93	53	𝛽	𝛽	PROPN
cana-1734	93	54	,	,	PUNCT
cana-1734	93	55	the	the	DET
cana-1734	93	56	temperature	temperature	NOUN
cana-1734	93	57	of	of	ADP
cana-1734	93	58	the	the	DET
cana-1734	93	59	fluid	fluid	NOUN
cana-1734	93	60	is	be	AUX
cana-1734	93	61	represented	represent	VERB
cana-1734	93	62	by	by	ADP
cana-1734	93	63	t	t	PROPN
cana-1734	93	64	,	,	PUNCT
cana-1734	93	65	the	the	DET
cana-1734	93	66	concentration	concentration	NOUN
cana-1734	93	67	of	of	ADP
cana-1734	93	68	nano	nano	NOUN
cana-1734	93	69	-	-	PUNCT
cana-1734	93	70	size	size	NOUN
cana-1734	93	71	metallic	metallic	ADJ
cana-1734	93	72	particles	particle	NOUN
cana-1734	93	73	is	be	AUX
cana-1734	93	74	by	by	ADP
cana-1734	93	75	c	c	PROPN
cana-1734	93	76	,	,	PUNCT
cana-1734	93	77	𝜆2	𝜆2	PROPN
cana-1734	93	78	is	be	AUX
cana-1734	93	79	thermal	thermal	ADJ
cana-1734	93	80	relaxation	relaxation	NOUN
cana-1734	93	81	factor	factor	NOUN
cana-1734	93	82	,	,	PUNCT
cana-1734	93	83	𝑞∗	𝑞∗	PROPN
cana-1734	93	84	is	be	AUX
cana-1734	93	85	the	the	DET
cana-1734	93	86	non	non	PROPN
cana-1734	93	87	communications	communication	NOUN
cana-1734	93	88	on	on	ADP
cana-1734	93	89	applied	apply	VERB
cana-1734	93	90	nonlinear	nonlinear	ADJ
cana-1734	93	91	analysis	analysis	NOUN
cana-1734	93	92	issn	issn	NOUN
cana-1734	93	93	:	:	PUNCT
cana-1734	93	94	1074	1074	NUM
cana-1734	93	95	-	-	PUNCT
cana-1734	93	96	133x	133x	NUM
cana-1734	93	97	vol	vol	NOUN
cana-1734	93	98	32	32	NUM
cana-1734	93	99	no	no	NOUN
cana-1734	93	100	.	.	NOUN
cana-1734	93	101	2	2	NUM
cana-1734	93	102	(	(	PUNCT
cana-1734	93	103	2025	2025	NUM
cana-1734	93	104	)	)	PUNCT
cana-1734	93	105	178	178	NUM
cana-1734	93	106	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1734	93	107	uniform	uniform	ADJ
cana-1734	93	108	heat	heat	PROPN
cana-1734	93	109	source	source	NOUN
cana-1734	93	110	/	/	SYM
cana-1734	93	111	sink	sink	NOUN
cana-1734	93	112	,	,	PUNCT
cana-1734	93	113	𝐴∗	𝐴∗	PROPN
cana-1734	93	114	,	,	PUNCT
cana-1734	93	115	𝐵∗	𝐵∗	PROPN
cana-1734	93	116	are	be	AUX
cana-1734	93	117	source	source	NOUN
cana-1734	93	118	and	and	CCONJ
cana-1734	93	119	sink	sink	NOUN
cana-1734	93	120	coefficients	coefficient	NOUN
cana-1734	93	121	respectively.𝐷𝑇	respectively.𝐷𝑇	NOUN
cana-1734	93	122	,	,	PUNCT
cana-1734	93	123	𝐷𝐵	𝐷𝐵	PROPN
cana-1734	93	124	are	be	AUX
cana-1734	93	125	brownian	brownian	ADJ
cana-1734	93	126	diffusion	diffusion	NOUN
cana-1734	93	127	co	co	NOUN
cana-1734	93	128	-	-	ADJ
cana-1734	93	129	efficient	efficient	ADJ
cana-1734	93	130	,	,	PUNCT
cana-1734	93	131	and	and	CCONJ
cana-1734	93	132	thermophoresis	thermophoresis	NOUN
cana-1734	93	133	diffusion	diffusion	NOUN
cana-1734	93	134	co	co	NOUN
cana-1734	93	135	-	-	ADJ
cana-1734	93	136	efficient	efficient	ADJ
cana-1734	93	137	respectively	respectively	ADV
cana-1734	93	138	.	.	PUNCT
cana-1734	94	1	the	the	DET
cana-1734	94	2	boundary	boundary	ADJ
cana-1734	94	3	conditions	condition	NOUN
cana-1734	94	4	are	be	AUX
cana-1734	94	5	expressed	express	VERB
cana-1734	94	6	as	as	ADP
cana-1734	94	7	the	the	DET
cana-1734	94	8	energy	energy	NOUN
cana-1734	94	9	levels	level	NOUN
cana-1734	94	10	of	of	ADP
cana-1734	94	11	the	the	DET
cana-1734	94	12	fluid	fluid	NOUN
cana-1734	94	13	.	.	PUNCT
cana-1734	95	1	at	at	ADP
cana-1734	95	2	z=0	z=0	PROPN
cana-1734	95	3	:	:	PUNCT
cana-1734	95	4	𝑢	𝑢	X
cana-1734	95	5	=	=	NOUN
cana-1734	95	6	𝐿1	𝐿1	PROPN
cana-1734	96	1	𝜕𝑢	𝜕𝑢	NOUN
cana-1734	96	2	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	96	3	v	v	NOUN
cana-1734	96	4	=	=	SYM
cana-1734	96	5	l1	l1	PROPN
cana-1734	96	6	∂v	∂v	PROPN
cana-1734	96	7	∂z	∂z	PROPN
cana-1734	96	8	+	+	CCONJ
cana-1734	96	9	𝑟ω	𝑟ω	INTJ
cana-1734	96	10	,	,	PUNCT
cana-1734	96	11	w	w	PROPN
cana-1734	96	12	=	=	SYM
cana-1734	96	13	0	0	NUM
cana-1734	96	14	,	,	PUNCT
cana-1734	96	15	t	t	NOUN
cana-1734	96	16	=	=	SYM
cana-1734	96	17	tw	tw	NOUN
cana-1734	96	18	+	+	CCONJ
cana-1734	96	19	l2	l2	VERB
cana-1734	96	20	∂t	∂t	PROPN
cana-1734	96	21	∂z	∂z	PROPN
cana-1734	96	22	,	,	PUNCT
cana-1734	96	23	𝐷𝐵	𝐷𝐵	PROPN
cana-1734	96	24	𝜕𝐶	𝜕𝐶	PROPN
cana-1734	96	25	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	97	1	+	+	CCONJ
cana-1734	97	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1734	97	3	𝑇∞	𝑇∞	PROPN
cana-1734	97	4	𝜕𝑇	𝜕𝑇	NOUN
cana-1734	97	5	𝜕𝑧	𝜕𝑧	NOUN
cana-1734	97	6	=	=	SYM
cana-1734	97	7	0	0	PUNCT
cana-1734	97	8	as	as	ADP
cana-1734	97	9	z→	z→	PROPN
cana-1734	97	10	∞	∞	PROPN
cana-1734	97	11	:	:	PUNCT
cana-1734	97	12	𝑢	𝑢	X
cana-1734	97	13	→	→	SYM
cana-1734	97	14	0	0	NUM
cana-1734	97	15	,	,	PUNCT
cana-1734	97	16	𝑇	𝑇	PROPN
cana-1734	97	17	→	→	SYM
cana-1734	97	18	𝑇∞,𝐶	𝑇∞,𝐶	PROPN
cana-1734	97	19	→	→	SYM
cana-1734	97	20	𝐶∞	𝐶∞	PROPN
cana-1734	97	21	,	,	PUNCT
cana-1734	97	22	𝑃	𝑃	PROPN
cana-1734	97	23	→	→	SYM
cana-1734	97	24	𝑃∞	𝑃∞	NOUN
cana-1734	97	25	(	(	PUNCT
cana-1734	97	26	9	9	NUM
cana-1734	97	27	)	)	PUNCT
cana-1734	97	28	here	here	ADV
cana-1734	97	29	,	,	PUNCT
cana-1734	97	30	𝐿1	𝐿1	PROPN
cana-1734	97	31	,	,	PUNCT
cana-1734	97	32	𝐿2represent	𝐿2represent	VERB
cana-1734	97	33	the	the	DET
cana-1734	97	34	velocity	velocity	NOUN
cana-1734	97	35	slip	slip	NOUN
cana-1734	97	36	,	,	PUNCT
cana-1734	97	37	thermal	thermal	ADJ
cana-1734	97	38	slip	slip	NOUN
cana-1734	97	39	respectively	respectively	ADV
cana-1734	97	40	,	,	PUNCT
cana-1734	97	41	and	and	CCONJ
cana-1734	97	42	we	we	PRON
cana-1734	97	43	introduce	introduce	VERB
cana-1734	97	44	the	the	DET
cana-1734	97	45	similarity	similarity	NOUN
cana-1734	97	46	transformations	transformation	NOUN
cana-1734	97	47	𝑢(𝜂	𝑢(𝜂	X
cana-1734	97	48	)	)	PUNCT
cana-1734	98	1	=	=	SYM
cana-1734	98	2	𝑟ω𝑓′(𝜂	𝑟ω𝑓′(𝜂	ADJ
cana-1734	98	3	)	)	PUNCT
cana-1734	98	4	𝑣(𝜂	𝑣(𝜂	NOUN
cana-1734	98	5	)	)	PUNCT
cana-1734	98	6	=	=	SYM
cana-1734	98	7	𝑟ω𝑔(𝜂	𝑟ω𝑔(𝜂	PROPN
cana-1734	98	8	)	)	PUNCT
cana-1734	98	9	𝑤(𝜂	𝑤(𝜂	X
cana-1734	98	10	)	)	PUNCT
cana-1734	99	1	=	=	SYM
cana-1734	99	2	−2√ων	−2√ων	NOUN
cana-1734	99	3	𝑓(𝜂	𝑓(𝜂	NOUN
cana-1734	99	4	)	)	PUNCT
cana-1734	99	5	𝜂	𝜂	NOUN
cana-1734	99	6	=	=	PUNCT
cana-1734	99	7	√	√	PROPN
cana-1734	99	8	ω	ω	NUM
cana-1734	99	9	𝜈	𝜈	X
cana-1734	99	10	𝑧	𝑧	X
cana-1734	99	11	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	99	12	)	)	PUNCT
cana-1734	99	13	=	=	SYM
cana-1734	100	1	𝑇−𝑇∞	𝑇−𝑇∞	PROPN
cana-1734	100	2	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	PROPN
cana-1734	100	3	𝜑(𝜂	𝜑(𝜂	PROPN
cana-1734	100	4	)	)	PUNCT
cana-1734	101	1	=	=	SYM
cana-1734	101	2	𝐶−𝐶∞	𝐶−𝐶∞	PROPN
cana-1734	101	3	𝐶𝑤−𝐶∞	𝐶𝑤−𝐶∞	PROPN
cana-1734	101	4	𝑃(𝜂	𝑃(𝜂	NOUN
cana-1734	101	5	)	)	PUNCT
cana-1734	101	6	=	=	PRON
cana-1734	101	7	𝑃∞−𝑃	𝑃∞−𝑃	SYM
cana-1734	101	8	ωμf	ωμf	NOUN
cana-1734	101	9	(	(	PUNCT
cana-1734	101	10	10	10	NUM
cana-1734	101	11	)	)	PUNCT
cana-1734	101	12	where	where	SCONJ
cana-1734	101	13	𝜂	𝜂	NOUN
cana-1734	101	14	is	be	AUX
cana-1734	101	15	the	the	DET
cana-1734	101	16	similarity	similarity	NOUN
cana-1734	101	17	variable𝑓(𝜂	variable𝑓(𝜂	NOUN
cana-1734	101	18	)	)	PUNCT
cana-1734	101	19	,	,	PUNCT
cana-1734	101	20	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	101	21	)	)	PUNCT
cana-1734	101	22	are	be	AUX
cana-1734	101	23	represented	represent	VERB
cana-1734	101	24	as	as	ADP
cana-1734	101	25	non	non	ADJ
cana-1734	101	26	-	-	ADJ
cana-1734	101	27	dimensional	dimensional	ADJ
cana-1734	101	28	velocities	velocity	NOUN
cana-1734	101	29	and	and	CCONJ
cana-1734	101	30	,	,	PUNCT
cana-1734	101	31	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	101	32	)	)	PUNCT
cana-1734	101	33	,	,	PUNCT
cana-1734	101	34	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	101	35	)	)	PUNCT
cana-1734	101	36	are	be	AUX
cana-1734	101	37	the	the	DET
cana-1734	101	38	dimensional	dimensional	ADJ
cana-1734	101	39	temperature	temperature	NOUN
cana-1734	101	40	function	function	NOUN
cana-1734	101	41	,	,	PUNCT
cana-1734	101	42	and	and	CCONJ
cana-1734	101	43	dimensionless	dimensionless	NOUN
cana-1734	101	44	concentration	concentration	NOUN
cana-1734	101	45	function	function	NOUN
cana-1734	101	46	respectively	respectively	ADV
cana-1734	101	47	.	.	PUNCT
cana-1734	102	1	equation	equation	NOUN
cana-1734	102	2	(	(	PUNCT
cana-1734	102	3	2	2	X
cana-1734	102	4	)	)	PUNCT
cana-1734	102	5	is	be	AUX
cana-1734	102	6	already	already	ADV
cana-1734	102	7	satisfied	satisfied	ADJ
cana-1734	102	8	by	by	ADP
cana-1734	102	9	equation	equation	NOUN
cana-1734	102	10	(	(	PUNCT
cana-1734	102	11	10	10	NUM
cana-1734	102	12	)	)	PUNCT
cana-1734	102	13	,	,	PUNCT
cana-1734	102	14	now	now	ADV
cana-1734	102	15	eqns	eqns	X
cana-1734	102	16	(	(	PUNCT
cana-1734	102	17	3	3	NUM
cana-1734	102	18	)	)	PUNCT
cana-1734	102	19	,	,	PUNCT
cana-1734	102	20	(	(	PUNCT
cana-1734	102	21	4	4	NUM
cana-1734	102	22	)	)	PUNCT
cana-1734	102	23	,	,	PUNCT
cana-1734	102	24	(	(	PUNCT
cana-1734	102	25	5	5	NUM
cana-1734	102	26	)	)	PUNCT
cana-1734	102	27	,	,	PUNCT
cana-1734	102	28	(	(	PUNCT
cana-1734	102	29	6	6	NUM
cana-1734	102	30	)	)	PUNCT
cana-1734	102	31	,	,	PUNCT
cana-1734	102	32	(	(	PUNCT
cana-1734	102	33	7	7	X
cana-1734	102	34	)	)	PUNCT
cana-1734	102	35	and	and	CCONJ
cana-1734	102	36	(	(	PUNCT
cana-1734	102	37	8)	8)	NUM
cana-1734	102	38	becomes	become	VERB
cana-1734	102	39	(	(	PUNCT
cana-1734	102	40	1	1	NUM
cana-1734	102	41	+	+	SYM
cana-1734	102	42	1	1	NUM
cana-1734	102	43	𝛽	𝛽	NOUN
cana-1734	102	44	)	)	PUNCT
cana-1734	102	45	𝑓′′′	𝑓′′′	PROPN
cana-1734	102	46	−	−	NOUN
cana-1734	102	47	𝑓′2	𝑓′2	NOUN
cana-1734	103	1	+	+	NOUN
cana-1734	103	2	2𝑓𝑓′′	2𝑓𝑓′′	NUM
cana-1734	104	1	+	+	CCONJ
cana-1734	104	2	𝑔2	𝑔2	NOUN
cana-1734	104	3	−	−	NOUN
cana-1734	104	4	𝑀𝑓′	𝑀𝑓′	NOUN
cana-1734	104	5	−	−	NOUN
cana-1734	104	6	𝐾𝑓′	𝐾𝑓′	INTJ
cana-1734	105	1	−	−	NOUN
cana-1734	105	2	𝐹𝑟𝑓′2	𝐹𝑟𝑓′2	NUM
cana-1734	106	1	=	=	SYM
cana-1734	106	2	0	0	PUNCT
cana-1734	107	1	(	(	PUNCT
cana-1734	107	2	11	11	NUM
cana-1734	107	3	)	)	PUNCT
cana-1734	107	4	(	(	PUNCT
cana-1734	107	5	1	1	NUM
cana-1734	107	6	+	+	SYM
cana-1734	107	7	1	1	NUM
cana-1734	107	8	𝛽	𝛽	NOUN
cana-1734	107	9	)	)	PUNCT
cana-1734	107	10	𝑔′′	𝑔′′	NOUN
cana-1734	107	11	−	−	PROPN
cana-1734	107	12	𝑓′𝑔	𝑓′𝑔	ADJ
cana-1734	107	13	+	+	CCONJ
cana-1734	107	14	𝑓𝑔′	𝑓𝑔′	NOUN
cana-1734	107	15	−	−	NOUN
cana-1734	108	1	𝑀𝑔	𝑀𝑔	PROPN
cana-1734	108	2	−	−	PROPN
cana-1734	108	3	𝐾𝑔	𝐾𝑔	PROPN
cana-1734	108	4	−	−	PROPN
cana-1734	108	5	𝐹𝑟𝑔2	𝐹𝑟𝑔2	PROPN
cana-1734	108	6	=	=	SYM
cana-1734	108	7	0	0	NUM
cana-1734	108	8	(	(	PUNCT
cana-1734	108	9	12	12	NUM
cana-1734	108	10	)	)	PUNCT
cana-1734	108	11	𝜃′′	𝜃′′	NOUN
cana-1734	108	12	+	+	CCONJ
cana-1734	108	13	2𝑃𝑟𝑓𝜃′	2𝑃𝑟𝑓𝜃′	NUM
cana-1734	109	1	+	+	CCONJ
cana-1734	109	2	𝑃𝑟(𝑁𝑏𝜃′𝜙′	𝑃𝑟(𝑁𝑏𝜃′𝜙′	VERB
cana-1734	109	3	+	+	ADP
cana-1734	109	4	𝑁𝑡𝜃′2	𝑁𝑡𝜃′2	PUNCT
cana-1734	109	5	+	+	CCONJ
cana-1734	109	6	𝛾1(𝑓2𝜃′′	𝛾1(𝑓2𝜃′′	NOUN
cana-1734	109	7	+	+	CCONJ
cana-1734	109	8	𝑓𝑓′𝜃′	𝑓𝑓′𝜃′	PROPN
cana-1734	109	9	)	)	PUNCT
cana-1734	110	1	+	+	PUNCT
cana-1734	111	1	𝐴𝑓	𝐴𝑓	NOUN
cana-1734	111	2	+	+	CCONJ
cana-1734	111	3	𝐵𝜃	𝐵𝜃	PROPN
cana-1734	111	4	=	=	SYM
cana-1734	111	5	0	0	NUM
cana-1734	112	1	(	(	PUNCT
cana-1734	112	2	13	13	NUM
cana-1734	112	3	)	)	PUNCT
cana-1734	112	4	𝜙′′	𝜙′′	VERB
cana-1734	112	5	+	+	NUM
cana-1734	112	6	2𝑃𝑟𝐿𝑒𝑓𝜙′	2𝑃𝑟𝐿𝑒𝑓𝜙′	NUM
cana-1734	112	7	+	+	CCONJ
cana-1734	112	8	𝑁𝑡	𝑁𝑡	PROPN
cana-1734	112	9	𝑁𝑏	𝑁𝑏	PROPN
cana-1734	112	10	𝜃′′	𝜃′′	NOUN
cana-1734	112	11	=	=	SYM
cana-1734	112	12	0	0	PUNCT
cana-1734	113	1	(	(	PUNCT
cana-1734	113	2	14	14	NUM
cana-1734	113	3	)	)	PUNCT
cana-1734	113	4	similarly	similarly	ADV
cana-1734	113	5	,	,	PUNCT
cana-1734	113	6	boundary	boundary	ADJ
cana-1734	113	7	conditions	condition	NOUN
cana-1734	113	8	are	be	AUX
cana-1734	113	9	transferred	transfer	VERB
cana-1734	113	10	into	into	ADP
cana-1734	113	11	𝜂	𝜂	NOUN
cana-1734	113	12	=	=	SYM
cana-1734	113	13	0	0	NUM
cana-1734	113	14	⇒	⇒	NOUN
cana-1734	113	15	𝑓	𝑓	PROPN
cana-1734	113	16	=	=	SYM
cana-1734	113	17	0	0	NUM
cana-1734	113	18	,	,	PUNCT
cana-1734	113	19	𝑓′	𝑓′	NOUN
cana-1734	113	20	=	=	SYM
cana-1734	113	21	𝛾𝑓′′	𝛾𝑓′′	PROPN
cana-1734	113	22	,	,	PUNCT
cana-1734	113	23	𝑔	𝑔	PROPN
cana-1734	113	24	=	=	SYM
cana-1734	113	25	1	1	NUM
cana-1734	113	26	+	+	CCONJ
cana-1734	113	27	𝛾𝑔′	𝛾𝑔′	PROPN
cana-1734	113	28	,	,	PUNCT
cana-1734	113	29	𝜃	𝜃	NOUN
cana-1734	114	1	=	=	SYM
cana-1734	114	2	1	1	NUM
cana-1734	114	3	+	+	NUM
cana-1734	114	4	𝛼𝜃′	𝛼𝜃′	NUM
cana-1734	114	5	,	,	PUNCT
cana-1734	114	6	𝜙′	𝜙′	X
cana-1734	114	7	+	+	X
cana-1734	114	8	𝑁𝑡	𝑁𝑡	PROPN
cana-1734	114	9	𝑁𝑏	𝑁𝑏	PROPN
cana-1734	114	10	𝜃′	𝜃′	X
cana-1734	114	11	=	=	SYM
cana-1734	114	12	0	0	NUM
cana-1734	114	13	𝜂	𝜂	NOUN
cana-1734	114	14	→	→	SYM
cana-1734	114	15	∞	∞	PROPN
cana-1734	114	16	⇒	⇒	NOUN
cana-1734	114	17	𝑓′	𝑓′	NUM
cana-1734	114	18	→	→	SYM
cana-1734	114	19	0	0	NUM
cana-1734	114	20	,	,	PUNCT
cana-1734	114	21	𝑔	𝑔	PROPN
cana-1734	114	22	→	→	SYM
cana-1734	114	23	0	0	NUM
cana-1734	114	24	,	,	PUNCT
cana-1734	114	25	𝜃	𝜃	X
cana-1734	114	26	→	→	SYM
cana-1734	114	27	0	0	NUM
cana-1734	114	28	,	,	PUNCT
cana-1734	114	29	𝜙	𝜙	X
cana-1734	114	30	→	→	SYM
cana-1734	114	31	0	0	NUM
cana-1734	114	32	(	(	PUNCT
cana-1734	114	33	15	15	NUM
cana-1734	114	34	)	)	PUNCT
cana-1734	114	35	here	here	ADV
cana-1734	114	36	𝑀	𝑀	PROPN
cana-1734	115	1	=	=	PUNCT
cana-1734	115	2	𝜎𝑓𝐵0	𝜎𝑓𝐵0	NUM
cana-1734	115	3	2	2	NUM
cana-1734	115	4	𝜌𝑓ω	𝜌𝑓ω	NOUN
cana-1734	115	5	for	for	ADP
cana-1734	115	6	the	the	DET
cana-1734	115	7	magnetic	magnetic	ADJ
cana-1734	115	8	parameter	parameter	NOUN
cana-1734	115	9	,	,	PUNCT
cana-1734	115	10	𝐾	𝐾	PROPN
cana-1734	115	11	=	=	PUNCT
cana-1734	115	12	𝜈	𝜈	PROPN
cana-1734	115	13	𝑘∗𝜌𝑓ω	𝑘∗𝜌𝑓ω	NOUN
cana-1734	115	14	for	for	ADP
cana-1734	115	15	the	the	DET
cana-1734	115	16	porosity	porosity	NOUN
cana-1734	115	17	parameter	parameter	NOUN
cana-1734	115	18	,	,	PUNCT
cana-1734	115	19	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	115	20	=	=	SYM
cana-1734	115	21	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	115	22	𝜌𝑓	𝜌𝑓	X
cana-1734	115	23	for	for	ADP
cana-1734	115	24	the	the	DET
cana-1734	115	25	forchheimer	forchheimer	PROPN
cana-1734	115	26	parameter	parameter	NOUN
cana-1734	115	27	,	,	PUNCT
cana-1734	115	28	𝑃𝑟	𝑃𝑟	PROPN
cana-1734	115	29	=	=	SYM
cana-1734	115	30	𝜈	𝜈	PROPN
cana-1734	115	31	𝛼𝑚	𝛼𝑚	VERB
cana-1734	115	32	prandlt	prandlt	PROPN
cana-1734	115	33	number	number	NOUN
cana-1734	115	34	,	,	PUNCT
cana-1734	116	1	𝑁𝑏	𝑁𝑏	PROPN
cana-1734	116	2	=	=	SYM
cana-1734	116	3	(	(	PUNCT
cana-1734	116	4	(	(	PUNCT
cana-1734	116	5	𝜌𝑐)𝑝	𝜌𝑐)𝑝	PROPN
cana-1734	116	6	(	(	PUNCT
cana-1734	116	7	𝜌𝑐)𝑓	𝜌𝑐)𝑓	PROPN
cana-1734	116	8	)	)	PUNCT
cana-1734	116	9	(	(	PUNCT
cana-1734	116	10	𝐷𝐵	𝐷𝐵	NOUN
cana-1734	116	11	𝜈	𝜈	X
cana-1734	116	12	)	)	PUNCT
cana-1734	116	13	(	(	PUNCT
cana-1734	116	14	𝐶𝑤	𝐶𝑤	PROPN
cana-1734	116	15	−	−	PROPN
cana-1734	116	16	𝐶∞	𝐶∞	PROPN
cana-1734	116	17	)	)	PUNCT
cana-1734	116	18	for	for	ADP
cana-1734	116	19	brownian	brownian	ADJ
cana-1734	116	20	parameter	parameter	NOUN
cana-1734	116	21	𝑁𝑡	𝑁𝑡	PROPN
cana-1734	116	22	=	=	PUNCT
cana-1734	116	23	(	(	PUNCT
cana-1734	116	24	𝐷𝑇	𝐷𝑇	PROPN
cana-1734	116	25	𝜈	𝜈	X
cana-1734	116	26	)	)	PUNCT
cana-1734	116	27	(	(	PUNCT
cana-1734	116	28	𝑇𝑤	𝑇𝑤	PROPN
cana-1734	116	29	−	−	PROPN
cana-1734	116	30	𝑇∞	𝑇∞	PROPN
cana-1734	116	31	)	)	PUNCT
cana-1734	116	32	for	for	ADP
cana-1734	116	33	thermophoresis	thermophoresis	NOUN
cana-1734	116	34	parameter	parameter	NOUN
cana-1734	116	35	,	,	PUNCT
cana-1734	116	36	𝛾1	𝛾1	PROPN
cana-1734	116	37	=	=	PUNCT
cana-1734	116	38	4𝜆2ω	4𝜆2ω	NOUN
cana-1734	116	39	for	for	ADP
cana-1734	116	40	the	the	DET
cana-1734	116	41	thermal	thermal	ADJ
cana-1734	116	42	relaxation	relaxation	NOUN
cana-1734	116	43	time	time	NOUN
cana-1734	116	44	,	,	PUNCT
cana-1734	116	45	𝐴	𝐴	PROPN
cana-1734	116	46	=	=	SYM
cana-1734	116	47	𝐴∗	𝐴∗	PROPN
cana-1734	116	48	(	(	PUNCT
cana-1734	116	49	𝑘∞𝑈𝑤	𝑘∞𝑈𝑤	PROPN
cana-1734	116	50	𝑧𝜈(𝜌𝑐)𝑓	𝑧𝜈(𝜌𝑐)𝑓	VERB
cana-1734	116	51	)	)	PUNCT
cana-1734	116	52	(	(	PUNCT
cana-1734	116	53	𝑇𝑤	𝑇𝑤	PROPN
cana-1734	116	54	−	−	PROPN
cana-1734	116	55	𝑇∞	𝑇∞	PROPN
cana-1734	116	56	)	)	PUNCT
cana-1734	117	1	,	,	PUNCT
cana-1734	117	2	𝐵	𝐵	NOUN
cana-1734	117	3	=	=	SYM
cana-1734	117	4	𝐵∗	𝐵∗	PROPN
cana-1734	117	5	(	(	PUNCT
cana-1734	117	6	𝑘∞𝑈𝑤	𝑘∞𝑈𝑤	PROPN
cana-1734	117	7	𝑧𝜈(𝜌𝑐)𝑓	𝑧𝜈(𝜌𝑐)𝑓	NOUN
cana-1734	117	8	)	)	PUNCT
cana-1734	117	9	are	be	AUX
cana-1734	117	10	represented	represent	VERB
cana-1734	117	11	as	as	ADP
cana-1734	117	12	space	space	NOUN
cana-1734	117	13	,	,	PUNCT
cana-1734	117	14	temperature	temperature	NOUN
cana-1734	117	15	-	-	PUNCT
cana-1734	117	16	dependent	dependent	ADJ
cana-1734	117	17	heat	heat	NOUN
cana-1734	117	18	generation	generation	NOUN
cana-1734	117	19	and	and	CCONJ
cana-1734	117	20	absorption	absorption	NOUN
cana-1734	117	21	parameters	parameter	NOUN
cana-1734	117	22	respectively	respectively	ADV
cana-1734	117	23	,	,	PUNCT
cana-1734	117	24	𝐿𝑒	𝐿𝑒	PROPN
cana-1734	117	25	=	=	PUNCT
cana-1734	117	26	𝛼𝑚	𝛼𝑚	NOUN
cana-1734	117	27	𝐷𝐵	𝐷𝐵	PROPN
cana-1734	117	28	for	for	ADP
cana-1734	117	29	lewis	lewis	PROPN
cana-1734	117	30	number	number	NOUN
cana-1734	117	31	,	,	PUNCT
cana-1734	117	32	𝛾	𝛾	PROPN
cana-1734	117	33	=	=	SYM
cana-1734	117	34	𝐿1√	𝐿1√	NUM
cana-1734	117	35	2ω	2ω	NUM
cana-1734	117	36	𝜈	𝜈	PRON
cana-1734	117	37	for	for	ADP
cana-1734	117	38	velocity	velocity	NOUN
cana-1734	117	39	slip	slip	NOUN
cana-1734	117	40	parameter	parameter	NOUN
cana-1734	117	41	,	,	PUNCT
cana-1734	117	42	𝛼	𝛼	NOUN
cana-1734	117	43	=	=	PUNCT
cana-1734	117	44	𝐿2√	𝐿2√	NOUN
cana-1734	117	45	2ω	2ω	NUM
cana-1734	117	46	𝜈	𝜈	NOUN
cana-1734	117	47	for	for	ADP
cana-1734	117	48	thermal	thermal	ADJ
cana-1734	117	49	slip	slip	NOUN
cana-1734	117	50	parameter	parameter	NOUN
cana-1734	117	51	.	.	PUNCT
cana-1734	118	1	mass	mass	ADJ
cana-1734	118	2	transfer	transfer	NOUN
cana-1734	118	3	,	,	PUNCT
cana-1734	118	4	heat	heat	NOUN
cana-1734	118	5	transfer	transfer	NOUN
cana-1734	118	6	,	,	PUNCT
cana-1734	118	7	and	and	CCONJ
cana-1734	118	8	non	non	ADJ
cana-1734	118	9	-	-	ADJ
cana-1734	118	10	dimensional	dimensional	ADJ
cana-1734	118	11	skin	skin	NOUN
cana-1734	118	12	friction	friction	NOUN
cana-1734	118	13	rates	rate	NOUN
cana-1734	118	14	can	can	AUX
cana-1734	118	15	be	be	AUX
cana-1734	118	16	expressed	express	VERB
cana-1734	118	17	.	.	PUNCT
cana-1734	119	1	communications	communication	NOUN
cana-1734	119	2	on	on	ADP
cana-1734	119	3	applied	apply	VERB
cana-1734	119	4	nonlinear	nonlinear	ADJ
cana-1734	119	5	analysis	analysis	NOUN
cana-1734	119	6	issn	issn	NOUN
cana-1734	119	7	:	:	PUNCT
cana-1734	119	8	1074	1074	NUM
cana-1734	119	9	-	-	PUNCT
cana-1734	119	10	133x	133x	NUM
cana-1734	119	11	vol	vol	NOUN
cana-1734	119	12	32	32	NUM
cana-1734	119	13	no	no	NOUN
cana-1734	119	14	.	.	NOUN
cana-1734	119	15	2	2	NUM
cana-1734	119	16	(	(	PUNCT
cana-1734	119	17	2025	2025	NUM
cana-1734	119	18	)	)	PUNCT
cana-1734	119	19	179	179	NUM
cana-1734	119	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	119	21	𝑅𝑒𝑟	𝑅𝑒𝑟	NOUN
cana-1734	119	22	1	1	NUM
cana-1734	119	23	2𝐶𝑓	2𝐶𝑓	NUM
cana-1734	119	24	=	=	SYM
cana-1734	119	25	𝑓′(0	𝑓′(0	NOUN
cana-1734	119	26	)	)	PUNCT
cana-1734	119	27	,	,	PUNCT
cana-1734	119	28	𝑅𝑒𝑡	𝑅𝑒𝑡	VERB
cana-1734	119	29	1	1	NUM
cana-1734	119	30	2𝐶𝑔	2𝐶𝑔	NUM
cana-1734	119	31	=	=	SYM
cana-1734	119	32	𝑔′(0	𝑔′(0	NOUN
cana-1734	119	33	)	)	PUNCT
cana-1734	119	34	,	,	PUNCT
cana-1734	120	1	𝑅𝑒𝑟	𝑅𝑒𝑟	NOUN
cana-1734	120	2	−1	−1	NOUN
cana-1734	120	3	2	2	NUM
cana-1734	120	4	𝑁𝑢	𝑁𝑢	PROPN
cana-1734	120	5	=	=	SYM
cana-1734	120	6	−𝜃′(0	−𝜃′(0	NUM
cana-1734	120	7	)	)	PUNCT
cana-1734	120	8	,	,	PUNCT
cana-1734	120	9	𝑅𝑒𝑟	𝑅𝑒𝑟	NOUN
cana-1734	120	10	−1	−1	NOUN
cana-1734	120	11	2	2	NUM
cana-1734	120	12	𝑆ℎ	𝑆ℎ	PROPN
cana-1734	120	13	=	=	PUNCT
cana-1734	120	14	𝜙′(0	𝜙′(0	NOUN
cana-1734	120	15	)	)	PUNCT
cana-1734	120	16	(	(	PUNCT
cana-1734	120	17	16	16	NUM
cana-1734	120	18	)	)	PUNCT
cana-1734	120	19	where	where	SCONJ
cana-1734	120	20	the	the	DET
cana-1734	120	21	reynolds	reynolds	PROPN
cana-1734	120	22	number	number	NOUN
cana-1734	120	23	is	be	AUX
cana-1734	120	24	calculated	calculate	VERB
cana-1734	120	25	by	by	ADP
cana-1734	120	26	taking	take	VERB
cana-1734	120	27	into	into	ADP
cana-1734	120	28	account	account	NOUN
cana-1734	120	29	the	the	DET
cana-1734	120	30	𝑅𝑒𝑟	𝑅𝑒𝑟	PROPN
cana-1734	120	31	=	=	PROPN
cana-1734	120	32	2(𝑟	2(𝑟	NUM
cana-1734	120	33	ω	ω	NUM
cana-1734	120	34	)	)	PUNCT
cana-1734	120	35	𝜈	𝜈	X
cana-1734	120	36	.	.	PUNCT
cana-1734	121	1	3	3	X
cana-1734	121	2	.	.	X
cana-1734	121	3	numerical	numerical	ADJ
cana-1734	121	4	procedure	procedure	NOUN
cana-1734	121	5	a	a	DET
cana-1734	121	6	convenient	convenient	ADJ
cana-1734	121	7	shooting	shooting	NOUN
cana-1734	121	8	method	method	NOUN
cana-1734	121	9	is	be	AUX
cana-1734	121	10	used	use	VERB
cana-1734	121	11	to	to	PART
cana-1734	121	12	treat	treat	VERB
cana-1734	121	13	the	the	DET
cana-1734	121	14	boundary	boundary	ADJ
cana-1734	121	15	conditions	condition	NOUN
cana-1734	121	16	[	[	X
cana-1734	121	17	15	15	NUM
cana-1734	121	18	]	]	PUNCT
cana-1734	121	19	of	of	ADP
cana-1734	121	20	the	the	DET
cana-1734	121	21	fluid	fluid	NOUN
cana-1734	121	22	.	.	PUNCT
cana-1734	122	1	for	for	ADP
cana-1734	122	2	the	the	DET
cana-1734	122	3	initial	initial	ADJ
cana-1734	122	4	value	value	NOUN
cana-1734	122	5	problems	problem	NOUN
cana-1734	122	6	[	[	X
cana-1734	122	7	11	11	NUM
cana-1734	122	8	]	]	PUNCT
cana-1734	122	9	to	to	ADP
cana-1734	122	10	[	[	X
cana-1734	122	11	14	14	NUM
cana-1734	122	12	]	]	PUNCT
cana-1734	122	13	,	,	PUNCT
cana-1734	122	14	we	we	PRON
cana-1734	122	15	can	can	AUX
cana-1734	122	16	substitute	substitute	VERB
cana-1734	122	17	the	the	DET
cana-1734	122	18	numbers	number	NOUN
cana-1734	122	19	𝑦1	𝑦1	NOUN
cana-1734	122	20	=	=	SYM
cana-1734	122	21	𝑓	𝑓	PROPN
cana-1734	122	22	,	,	PUNCT
cana-1734	122	23	𝑦2	𝑦2	PROPN
cana-1734	122	24	=	=	SYM
cana-1734	122	25	𝑓′	𝑓′	NUM
cana-1734	122	26	,	,	PUNCT
cana-1734	122	27	𝑦3	𝑦3	PROPN
cana-1734	122	28	=	=	SYM
cana-1734	122	29	𝑓′′	𝑓′′	PROPN
cana-1734	122	30	,	,	PUNCT
cana-1734	122	31	𝑦4	𝑦4	NOUN
cana-1734	122	32	=	=	SYM
cana-1734	122	33	𝑔	𝑔	NOUN
cana-1734	122	34	,	,	PUNCT
cana-1734	122	35	𝑦5	𝑦5	NOUN
cana-1734	122	36	=	=	SYM
cana-1734	122	37	𝑔′	𝑔′	X
cana-1734	122	38	,	,	PUNCT
cana-1734	122	39	𝑦6	𝑦6	NOUN
cana-1734	122	40	=	=	SYM
cana-1734	122	41	𝜃	𝜃	PROPN
cana-1734	122	42	,	,	PUNCT
cana-1734	122	43	𝑦7	𝑦7	NOUN
cana-1734	122	44	=	=	SYM
cana-1734	122	45	𝜃′	𝜃′	X
cana-1734	122	46	,	,	PUNCT
cana-1734	122	47	𝑦8	𝑦8	NOUN
cana-1734	122	48	=	=	SYM
cana-1734	122	49	𝜙	𝜙	PROPN
cana-1734	122	50	,	,	PUNCT
cana-1734	122	51	𝑦9	𝑦9	NOUN
cana-1734	122	52	=	=	SYM
cana-1734	122	53	𝜙′.	𝜙′.	X
cana-1734	122	54	we	we	PRON
cana-1734	122	55	then	then	ADV
cana-1734	122	56	obtained	obtain	VERB
cana-1734	122	57	the	the	DET
cana-1734	122	58	following	following	ADJ
cana-1734	122	59	initial	initial	ADJ
cana-1734	122	60	value	value	NOUN
cana-1734	122	61	problems	problem	NOUN
cana-1734	122	62	into	into	ADP
cana-1734	122	63	first	first	ADJ
cana-1734	122	64	-	-	PUNCT
cana-1734	122	65	order	order	NOUN
cana-1734	122	66	differential	differential	ADJ
cana-1734	122	67	equations	equation	NOUN
cana-1734	122	68	.	.	PUNCT
cana-1734	123	1	𝑦1	𝑦1	NOUN
cana-1734	123	2	′	′	NUM
cana-1734	124	1	=	=	PUNCT
cana-1734	124	2	𝑦2	𝑦2	NOUN
cana-1734	124	3	;	;	PUNCT
cana-1734	124	4	𝑦2	𝑦2	NOUN
cana-1734	124	5	′	′	NOUN
cana-1734	124	6	=	=	SYM
cana-1734	124	7	𝑦3	𝑦3	PROPN
cana-1734	124	8	;	;	PUNCT
cana-1734	124	9	𝑦3	𝑦3	PROPN
cana-1734	124	10	′	′	NUM
cana-1734	125	1	=	=	SYM
cana-1734	125	2	1	1	NUM
cana-1734	125	3	(	(	PUNCT
cana-1734	125	4	1	1	NUM
cana-1734	125	5	+	+	SYM
cana-1734	125	6	1	1	NUM
cana-1734	125	7	𝛽	𝛽	NOUN
cana-1734	125	8	)	)	PUNCT
cana-1734	125	9	(	(	PUNCT
cana-1734	125	10	𝑦2	𝑦2	NOUN
cana-1734	125	11	2	2	NUM
cana-1734	125	12	−	−	PROPN
cana-1734	125	13	2𝑦1𝑦3	2𝑦1𝑦3	NUM
cana-1734	125	14	−	−	PROPN
cana-1734	125	15	𝑦4	𝑦4	NOUN
cana-1734	125	16	2	2	NUM
cana-1734	125	17	+	+	CCONJ
cana-1734	125	18	𝑀𝑦2	𝑀𝑦2	ADJ
cana-1734	125	19	+	+	CCONJ
cana-1734	125	20	𝐾𝑦2	𝐾𝑦2	NOUN
cana-1734	125	21	+	+	CCONJ
cana-1734	125	22	𝐹𝑟𝑦2	𝐹𝑟𝑦2	PRON
cana-1734	125	23	2	2	NUM
cana-1734	125	24	)	)	PUNCT
cana-1734	125	25	;	;	PUNCT
cana-1734	125	26	𝑦4	𝑦4	PROPN
cana-1734	125	27	′	′	NOUN
cana-1734	125	28	=	=	PUNCT
cana-1734	125	29	𝑦5	𝑦5	NOUN
cana-1734	125	30	;	;	PUNCT
cana-1734	125	31	𝑦5	𝑦5	NOUN
cana-1734	125	32	′	′	NOUN
cana-1734	126	1	=	=	SYM
cana-1734	126	2	1	1	NUM
cana-1734	126	3	(	(	PUNCT
cana-1734	126	4	1	1	NUM
cana-1734	126	5	+	+	SYM
cana-1734	126	6	1	1	NUM
cana-1734	126	7	𝛽	𝛽	NOUN
cana-1734	126	8	)	)	PUNCT
cana-1734	126	9	(	(	PUNCT
cana-1734	126	10	𝑦2𝑦4	𝑦2𝑦4	NOUN
cana-1734	126	11	−	−	PROPN
cana-1734	126	12	𝑦1𝑦5	𝑦1𝑦5	NOUN
cana-1734	126	13	+	+	NUM
cana-1734	126	14	𝑀𝑦4	𝑀𝑦4	VERB
cana-1734	126	15	+	+	NUM
cana-1734	126	16	𝐾𝑦4	𝐾𝑦4	NOUN
cana-1734	126	17	+	+	CCONJ
cana-1734	126	18	𝐹𝑟𝑦4	𝐹𝑟𝑦4	NUM
cana-1734	126	19	2	2	NUM
cana-1734	126	20	)	)	PUNCT
cana-1734	126	21	;	;	PUNCT
cana-1734	126	22	𝑦6	𝑦6	VERB
cana-1734	126	23	′	′	NUM
cana-1734	126	24	=	=	SYM
cana-1734	126	25	𝑦7	𝑦7	NOUN
cana-1734	126	26	;	;	PUNCT
cana-1734	126	27	𝑦7	𝑦7	NOUN
cana-1734	126	28	′	′	NOUN
cana-1734	127	1	=	=	PUNCT
cana-1734	128	1	−	−	PROPN
cana-1734	129	1	𝑃𝑟	𝑃𝑟	PROPN
cana-1734	129	2	1+𝑃𝑟𝛾1𝑦1	1+𝑃𝑟𝛾1𝑦1	NUM
cana-1734	129	3	2	2	NUM
cana-1734	129	4	(	(	PUNCT
cana-1734	129	5	2𝑦1𝑦7	2𝑦1𝑦7	NUM
cana-1734	129	6	+	+	NUM
cana-1734	129	7	𝑁𝑏𝑦7𝑦9	𝑁𝑏𝑦7𝑦9	NOUN
cana-1734	130	1	+	+	CCONJ
cana-1734	130	2	𝑁𝑡𝑦7	𝑁𝑡𝑦7	PROPN
cana-1734	130	3	2	2	NUM
cana-1734	130	4	+	+	CCONJ
cana-1734	130	5	𝛾1𝑦1𝑦2𝑦7	𝛾1𝑦1𝑦2𝑦7	PROPN
cana-1734	130	6	+	+	CCONJ
cana-1734	130	7	𝐴𝑦1	𝐴𝑦1	NOUN
cana-1734	130	8	+	+	CCONJ
cana-1734	130	9	𝐵𝑦1	𝐵𝑦1	NOUN
cana-1734	130	10	)	)	PUNCT
cana-1734	130	11	;	;	PUNCT
cana-1734	130	12	𝑦8	𝑦8	NOUN
cana-1734	130	13	′	′	NOUN
cana-1734	130	14	=	=	PUNCT
cana-1734	130	15	𝑦9	𝑦9	NOUN
cana-1734	130	16	;	;	PUNCT
cana-1734	130	17	𝑦9	𝑦9	NOUN
cana-1734	130	18	′	′	NOUN
cana-1734	131	1	=	=	PUNCT
cana-1734	132	1	−2𝑃𝑟𝐿𝑒𝑦1𝑦9	−2𝑃𝑟𝐿𝑒𝑦1𝑦9	ADJ
cana-1734	132	2	−	−	NUM
cana-1734	132	3	𝑁𝑡	𝑁𝑡	PROPN
cana-1734	132	4	𝑁𝑏	𝑁𝑏	PROPN
cana-1734	132	5	𝜃′′	𝜃′′	PROPN
cana-1734	132	6	boundary	boundary	ADJ
cana-1734	132	7	conditions	condition	NOUN
cana-1734	132	8	can	can	AUX
cana-1734	132	9	be	be	AUX
cana-1734	132	10	transformed	transform	VERB
cana-1734	132	11	as	as	SCONJ
cana-1734	132	12	follows	follow	VERB
cana-1734	132	13	𝑦1(0	𝑦1(0	PROPN
cana-1734	132	14	)	)	PUNCT
cana-1734	132	15	=	=	SYM
cana-1734	132	16	0	0	NUM
cana-1734	132	17	,	,	PUNCT
cana-1734	132	18	𝑦2(0	𝑦2(0	PROPN
cana-1734	132	19	)	)	PUNCT
cana-1734	132	20	=	=	SYM
cana-1734	132	21	𝛾𝑠1	𝛾𝑠1	PROPN
cana-1734	132	22	,	,	PUNCT
cana-1734	132	23	𝑦3(0	𝑦3(0	PROPN
cana-1734	132	24	)	)	PUNCT
cana-1734	132	25	=	=	SYM
cana-1734	132	26	𝑠1	𝑠1	PROPN
cana-1734	132	27	,	,	PUNCT
cana-1734	132	28	𝑦4(0	𝑦4(0	NOUN
cana-1734	132	29	)	)	PUNCT
cana-1734	132	30	=	=	SYM
cana-1734	132	31	1	1	NUM
cana-1734	132	32	+	+	CCONJ
cana-1734	132	33	𝛾𝑠2	𝛾𝑠2	ADJ
cana-1734	132	34	,	,	PUNCT
cana-1734	132	35	𝑦5(0	𝑦5(0	NOUN
cana-1734	132	36	)	)	PUNCT
cana-1734	132	37	=	=	SYM
cana-1734	132	38	𝑠2	𝑠2	NOUN
cana-1734	132	39	,	,	PUNCT
cana-1734	132	40	𝑦6(0	𝑦6(0	NOUN
cana-1734	132	41	)	)	PUNCT
cana-1734	132	42	=	=	SYM
cana-1734	132	43	1	1	NUM
cana-1734	132	44	+	+	CCONJ
cana-1734	132	45	𝛼𝑠3	𝛼𝑠3	PROPN
cana-1734	132	46	,	,	PUNCT
cana-1734	132	47	𝑦7(0	𝑦7(0	PROPN
cana-1734	132	48	)	)	PUNCT
cana-1734	132	49	=	=	SYM
cana-1734	133	1	𝑠3	𝑠3	PROPN
cana-1734	133	2	,	,	PUNCT
cana-1734	133	3	𝑦8(0	𝑦8(0	PROPN
cana-1734	133	4	)	)	PUNCT
cana-1734	133	5	=	=	SYM
cana-1734	133	6	𝑠4	𝑠4	PROPN
cana-1734	133	7	,	,	PUNCT
cana-1734	133	8	𝑦9(0	𝑦9(0	PROPN
cana-1734	133	9	)	)	PUNCT
cana-1734	133	10	=	=	SYM
cana-1734	133	11	−	−	PROPN
cana-1734	133	12	(	(	PUNCT
cana-1734	133	13	𝑁𝑡	𝑁𝑡	PROPN
cana-1734	133	14	𝑁𝑏	𝑁𝑏	PROPN
cana-1734	133	15	)	)	PUNCT
cana-1734	133	16	𝑦7(0	𝑦7(0	PROPN
cana-1734	133	17	)	)	PUNCT
cana-1734	133	18	,	,	PUNCT
cana-1734	133	19	𝑦2(∞	𝑦2(∞	PROPN
cana-1734	133	20	)	)	PUNCT
cana-1734	133	21	→	→	SYM
cana-1734	133	22	0	0	NUM
cana-1734	133	23	,	,	PUNCT
cana-1734	133	24	𝑦4(∞	𝑦4(∞	NOUN
cana-1734	133	25	)	)	PUNCT
cana-1734	133	26	→	→	SYM
cana-1734	133	27	0	0	NUM
cana-1734	133	28	,	,	PUNCT
cana-1734	133	29	𝑦6(∞	𝑦6(∞	NOUN
cana-1734	133	30	)	)	PUNCT
cana-1734	133	31	→	→	SYM
cana-1734	133	32	0	0	NUM
cana-1734	133	33	,	,	PUNCT
cana-1734	133	34	𝑦8(∞	𝑦8(∞	PROPN
cana-1734	133	35	)	)	PUNCT
cana-1734	133	36	→	→	SYM
cana-1734	133	37	0	0	NUM
cana-1734	133	38	the	the	DET
cana-1734	133	39	fifth	fifth	ADJ
cana-1734	133	40	-	-	PUNCT
cana-1734	133	41	order	order	NOUN
cana-1734	133	42	rk	rk	NOUN
cana-1734	133	43	-	-	PUNCT
cana-1734	133	44	technique	technique	NOUN
cana-1734	133	45	has	have	AUX
cana-1734	133	46	been	be	AUX
cana-1734	133	47	utilized	utilize	VERB
cana-1734	133	48	to	to	PART
cana-1734	133	49	integrate	integrate	VERB
cana-1734	133	50	the	the	DET
cana-1734	133	51	given	give	VERB
cana-1734	133	52	equations.𝑠1	equations.𝑠1	NOUN
cana-1734	133	53	,	,	PUNCT
cana-1734	133	54	𝑠2	𝑠2	NOUN
cana-1734	133	55	,	,	PUNCT
cana-1734	133	56	𝑠3	𝑠3	VERB
cana-1734	133	57	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-1734	133	58	𝑠4	𝑠4	PROPN
cana-1734	133	59	are	be	AUX
cana-1734	133	60	the	the	DET
cana-1734	133	61	initial	initial	ADJ
cana-1734	133	62	values	value	NOUN
cana-1734	133	63	of	of	ADP
cana-1734	133	64	the	the	DET
cana-1734	133	65	slope	slope	NOUN
cana-1734	133	66	while	while	SCONJ
cana-1734	133	67	integrating	integrate	VERB
cana-1734	133	68	the	the	DET
cana-1734	133	69	above	above	ADJ
cana-1734	133	70	system	system	NOUN
cana-1734	133	71	.	.	PUNCT
cana-1734	134	1	the	the	DET
cana-1734	134	2	slopes	slope	NOUN
cana-1734	134	3	𝑠1	𝑠1	PROPN
cana-1734	134	4	,	,	PUNCT
cana-1734	134	5	𝑠2	𝑠2	PROPN
cana-1734	134	6	,	,	PUNCT
cana-1734	134	7	𝑠3	𝑠3	PROPN
cana-1734	134	8	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
cana-1734	134	9	𝑠4	𝑠4	PROPN
cana-1734	134	10	are	be	AUX
cana-1734	134	11	iteratively	iteratively	ADV
cana-1734	134	12	by	by	ADP
cana-1734	134	13	using	use	VERB
cana-1734	134	14	newton	newton	PROPN
cana-1734	134	15	method	method	PROPN
cana-1734	134	16	.	.	PUNCT
cana-1734	135	1	numerical	numerical	ADJ
cana-1734	135	2	results	result	NOUN
cana-1734	135	3	are	be	AUX
cana-1734	135	4	evaluated	evaluate	VERB
cana-1734	135	5	at	at	ADP
cana-1734	135	6	𝜂𝑚𝑎𝑥	𝜂𝑚𝑎𝑥	NOUN
cana-1734	135	7	=	=	SYM
cana-1734	135	8	20	20	NUM
cana-1734	135	9	for	for	ADP
cana-1734	135	10	the	the	DET
cana-1734	135	11	scope	scope	NOUN
cana-1734	135	12	of	of	ADP
cana-1734	135	13	slip	slip	NOUN
cana-1734	135	14	parameters	parameter	NOUN
cana-1734	135	15	,	,	PUNCT
cana-1734	135	16	this	this	DET
cana-1734	135	17	method	method	NOUN
cana-1734	135	18	fulfills	fulfill	VERB
cana-1734	135	19	the	the	DET
cana-1734	135	20	far	far	ADJ
cana-1734	135	21	-	-	PUNCT
cana-1734	135	22	field	field	NOUN
cana-1734	135	23	conditions	condition	NOUN
cana-1734	135	24	.	.	PUNCT
cana-1734	136	1	we	we	PRON
cana-1734	136	2	were	be	AUX
cana-1734	136	3	able	able	ADJ
cana-1734	136	4	to	to	PART
cana-1734	136	5	obtain	obtain	VERB
cana-1734	136	6	numerical	numerical	ADJ
cana-1734	136	7	results	result	NOUN
cana-1734	136	8	from	from	ADP
cana-1734	136	9	bvp4c	bvp4c	PROPN
cana-1734	136	10	of	of	ADP
cana-1734	136	11	matlab	matlab	PROPN
cana-1734	136	12	.	.	PUNCT
cana-1734	137	1	4	4	NUM
cana-1734	137	2	.	.	NOUN
cana-1734	137	3	numerical	numerical	ADJ
cana-1734	137	4	outcomes	outcome	NOUN
cana-1734	137	5	and	and	CCONJ
cana-1734	137	6	conversation	conversation	NOUN
cana-1734	137	7	this	this	DET
cana-1734	137	8	paper	paper	NOUN
cana-1734	137	9	visualizes	visualize	VERB
cana-1734	137	10	the	the	DET
cana-1734	137	11	scope	scope	NOUN
cana-1734	137	12	of	of	ADP
cana-1734	137	13	slip	slip	NOUN
cana-1734	137	14	parameters	parameter	NOUN
cana-1734	137	15	'	'	PART
cana-1734	137	16	features	feature	NOUN
cana-1734	137	17	can	can	AUX
cana-1734	137	18	be	be	AUX
cana-1734	137	19	represented	represent	VERB
cana-1734	137	20	in	in	ADP
cana-1734	137	21	equations	equation	NOUN
cana-1734	137	22	(	(	PUNCT
cana-1734	137	23	11	11	NUM
cana-1734	137	24	)	)	PUNCT
cana-1734	137	25	(	(	PUNCT
cana-1734	137	26	14	14	NUM
cana-1734	137	27	)	)	PUNCT
cana-1734	137	28	namely	namely	ADV
cana-1734	137	29	,	,	PUNCT
cana-1734	137	30	porosity	porosity	NOUN
cana-1734	137	31	parameter	parameter	NOUN
cana-1734	137	32	,	,	PUNCT
cana-1734	137	33	forchhiemer	forchhiemer	ADJ
cana-1734	137	34	flow	flow	NOUN
cana-1734	137	35	parameter	parameter	NOUN
cana-1734	137	36	,	,	PUNCT
cana-1734	137	37	magnetic	magnetic	ADJ
cana-1734	137	38	parameter	parameter	NOUN
cana-1734	137	39	,	,	PUNCT
cana-1734	137	40	casson	casson	PROPN
cana-1734	137	41	fluid	fluid	PROPN
cana-1734	137	42	parameter	parameter	NOUN
cana-1734	137	43	,	,	PUNCT
cana-1734	137	44	prandtl	prandtl	NOUN
cana-1734	137	45	number	number	NOUN
cana-1734	137	46	,	,	PUNCT
cana-1734	137	47	brownian	brownian	ADJ
cana-1734	137	48	motion	motion	NOUN
cana-1734	137	49	parameter	parameter	NOUN
cana-1734	137	50	,	,	PUNCT
cana-1734	137	51	thermophoresis	thermophoresis	NOUN
cana-1734	137	52	parameter	parameter	NOUN
cana-1734	137	53	,	,	PUNCT
cana-1734	137	54	lewis	lewis	PROPN
cana-1734	137	55	number	number	NOUN
cana-1734	137	56	against	against	ADP
cana-1734	137	57	radial	radial	ADJ
cana-1734	137	58	velocity	velocity	NOUN
cana-1734	137	59	profile	profile	NOUN
cana-1734	137	60	,	,	PUNCT
cana-1734	137	61	tangential	tangential	ADJ
cana-1734	137	62	velocity	velocity	NOUN
cana-1734	137	63	,	,	PUNCT
cana-1734	137	64	temperature	temperature	NOUN
cana-1734	137	65	distribution	distribution	NOUN
cana-1734	137	66	profile	profile	NOUN
cana-1734	137	67	and	and	CCONJ
cana-1734	137	68	volumetric	volumetric	ADJ
cana-1734	137	69	concentration	concentration	NOUN
cana-1734	137	70	profile	profile	NOUN
cana-1734	137	71	.	.	PUNCT
cana-1734	138	1	controlling	control	VERB
cana-1734	138	2	of	of	ADP
cana-1734	138	3	flow	flow	NOUN
cana-1734	138	4	parameters	parameter	NOUN
cana-1734	138	5	has	have	VERB
cana-1734	138	6	a	a	DET
cana-1734	138	7	few	few	ADJ
cana-1734	138	8	study	study	NOUN
cana-1734	138	9	ranges	range	VERB
cana-1734	138	10	such	such	ADJ
cana-1734	138	11	as	as	ADP
cana-1734	138	12	0	0	NUM
cana-1734	138	13	<	<	X
cana-1734	138	14	𝑀	𝑀	PROPN
cana-1734	138	15	<	<	X
cana-1734	138	16	1	1	NUM
cana-1734	138	17	,	,	PUNCT
cana-1734	138	18	0	0	PUNCT
cana-1734	138	19	<	<	X
cana-1734	138	20	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	138	21	<	<	X
cana-1734	138	22	1	1	NUM
cana-1734	138	23	,	,	PUNCT
cana-1734	138	24	0	0	PUNCT
cana-1734	138	25	<	<	X
cana-1734	138	26	𝐾	𝐾	X
cana-1734	138	27	<	<	X
cana-1734	138	28	1	1	NUM
cana-1734	138	29	etc	etc	X
cana-1734	138	30	.	.	X
cana-1734	138	31	here	here	ADV
cana-1734	138	32	combined	combine	VERB
cana-1734	138	33	porosity	porosity	NOUN
cana-1734	138	34	and	and	CCONJ
cana-1734	138	35	magnetic	magnetic	ADJ
cana-1734	138	36	parameters	parameter	NOUN
cana-1734	138	37	.	.	PUNCT
cana-1734	139	1	the	the	DET
cana-1734	139	2	study	study	NOUN
cana-1734	139	3	of	of	ADP
cana-1734	139	4	the	the	DET
cana-1734	139	5	various	various	ADJ
cana-1734	139	6	aspects	aspect	NOUN
cana-1734	139	7	of	of	ADP
cana-1734	139	8	the	the	DET
cana-1734	139	9	magnetic	magnetic	ADJ
cana-1734	139	10	properties	property	NOUN
cana-1734	139	11	of	of	ADP
cana-1734	139	12	a	a	DET
cana-1734	139	13	medium	medium	NOUN
cana-1734	139	14	that	that	PRON
cana-1734	139	15	’s	’s	AUX
cana-1734	139	16	used	use	VERB
cana-1734	139	17	in	in	ADP
cana-1734	139	18	the	the	DET
cana-1734	139	19	flow	flow	NOUN
cana-1734	139	20	of	of	ADP
cana-1734	139	21	nanofluids	nanofluid	NOUN
cana-1734	139	22	is	be	AUX
cana-1734	139	23	carried	carry	VERB
cana-1734	139	24	out	out	ADP
cana-1734	139	25	.	.	PUNCT
cana-1734	140	1	fig.1	fig.1	VERB
cana-1734	140	2	the	the	DET
cana-1734	140	3	exact	exact	ADJ
cana-1734	140	4	nature	nature	NOUN
cana-1734	140	5	of	of	ADP
cana-1734	140	6	m	m	PROPN
cana-1734	140	7	can	can	AUX
cana-1734	140	8	also	also	ADV
cana-1734	140	9	be	be	AUX
cana-1734	140	10	determined	determine	VERB
cana-1734	140	11	by	by	ADP
cana-1734	140	12	comparing	compare	VERB
cana-1734	140	13	its	its	PRON
cana-1734	140	14	properties	property	NOUN
cana-1734	140	15	with	with	ADP
cana-1734	140	16	that	that	PRON
cana-1734	140	17	of	of	ADP
cana-1734	140	18	the	the	DET
cana-1734	140	19	radial	radial	ADJ
cana-1734	140	20	velocity	velocity	NOUN
cana-1734	140	21	field𝑓′(𝜂	field𝑓′(𝜂	NOUN
cana-1734	140	22	)	)	PUNCT
cana-1734	140	23	.	.	PUNCT
cana-1734	141	1	the	the	DET
cana-1734	141	2	velocity	velocity	NOUN
cana-1734	141	3	distribution	distribution	NOUN
cana-1734	141	4	of	of	ADP
cana-1734	141	5	a	a	DET
cana-1734	141	6	revolving	revolve	VERB
cana-1734	141	7	disk	disk	NOUN
cana-1734	141	8	can	can	AUX
cana-1734	141	9	be	be	AUX
cana-1734	141	10	affected	affect	VERB
cana-1734	141	11	by	by	ADP
cana-1734	141	12	the	the	DET
cana-1734	141	13	upper	upper	ADJ
cana-1734	141	14	limit	limit	NOUN
cana-1734	141	15	of	of	ADP
cana-1734	141	16	the	the	DET
cana-1734	141	17	magnetic	magnetic	ADJ
cana-1734	141	18	parameter	parameter	NOUN
cana-1734	141	19	influence	influence	NOUN
cana-1734	141	20	.	.	PUNCT
cana-1734	142	1	as	as	ADP
cana-1734	142	2	its	its	PRON
cana-1734	142	3	resistivity	resistivity	NOUN
cana-1734	142	4	and	and	CCONJ
cana-1734	142	5	lorentz	lorentz	PROPN
cana-1734	142	6	force	force	NOUN
cana-1734	142	7	increase	increase	NOUN
cana-1734	142	8	,	,	PUNCT
cana-1734	142	9	the	the	DET
cana-1734	142	10	effects	effect	NOUN
cana-1734	142	11	of	of	ADP
cana-1734	142	12	this	this	DET
cana-1734	142	13	variable	variable	NOUN
cana-1734	142	14	's	's	PART
cana-1734	142	15	rise	rise	NOUN
cana-1734	142	16	become	become	VERB
cana-1734	142	17	more	more	ADV
cana-1734	142	18	apparent	apparent	ADJ
cana-1734	142	19	.	.	PUNCT
cana-1734	143	1	fig	fig	NOUN
cana-1734	143	2	.	.	PUNCT
cana-1734	144	1	2	2	NUM
cana-1734	144	2	illustrates	illustrate	VERB
cana-1734	144	3	the	the	DET
cana-1734	144	4	effect	effect	NOUN
cana-1734	144	5	of	of	ADP
cana-1734	144	6	the	the	DET
cana-1734	144	7	magnetic	magnetic	ADJ
cana-1734	144	8	parameter	parameter	NOUN
cana-1734	144	9	m	m	VERB
cana-1734	144	10	on	on	ADP
cana-1734	144	11	the	the	DET
cana-1734	144	12	distribution	distribution	NOUN
cana-1734	144	13	of	of	ADP
cana-1734	144	14	the	the	DET
cana-1734	144	15	tangential	tangential	ADJ
cana-1734	144	16	velocity𝑔(𝜂	velocity𝑔(𝜂	NOUN
cana-1734	144	17	)	)	PUNCT
cana-1734	144	18	.	.	PUNCT
cana-1734	145	1	it	it	PRON
cana-1734	145	2	shows	show	VERB
cana-1734	145	3	that	that	SCONJ
cana-1734	145	4	increasing	increase	VERB
cana-1734	145	5	its	its	PRON
cana-1734	145	6	value	value	NOUN
cana-1734	145	7	causes	cause	VERB
cana-1734	145	8	the	the	DET
cana-1734	145	9	velocity	velocity	NOUN
cana-1734	145	10	distribution	distribution	NOUN
cana-1734	145	11	to	to	PART
cana-1734	145	12	decrease	decrease	VERB
cana-1734	145	13	.	.	PUNCT
cana-1734	146	1	the	the	DET
cana-1734	146	2	performance	performance	NOUN
cana-1734	146	3	of	of	ADP
cana-1734	146	4	the	the	DET
cana-1734	146	5	casson	casson	PROPN
cana-1734	146	6	parameter	parameter	PROPN
cana-1734	146	7	𝛽	𝛽	PROPN
cana-1734	146	8	is	be	AUX
cana-1734	146	9	evaluated	evaluate	VERB
cana-1734	146	10	communications	communication	NOUN
cana-1734	146	11	on	on	ADP
cana-1734	146	12	applied	apply	VERB
cana-1734	146	13	nonlinear	nonlinear	ADJ
cana-1734	146	14	analysis	analysis	NOUN
cana-1734	146	15	issn	issn	NOUN
cana-1734	146	16	:	:	PUNCT
cana-1734	146	17	1074	1074	NUM
cana-1734	146	18	-	-	PUNCT
cana-1734	146	19	133x	133x	NUM
cana-1734	146	20	vol	vol	NOUN
cana-1734	146	21	32	32	NUM
cana-1734	146	22	no	no	NOUN
cana-1734	146	23	.	.	NOUN
cana-1734	146	24	2	2	NUM
cana-1734	146	25	(	(	PUNCT
cana-1734	146	26	2025	2025	NUM
cana-1734	146	27	)	)	PUNCT
cana-1734	146	28	180	180	NUM
cana-1734	146	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	146	30	in	in	ADP
cana-1734	146	31	terms	term	NOUN
cana-1734	146	32	of	of	ADP
cana-1734	146	33	its	its	PRON
cana-1734	146	34	relation	relation	NOUN
cana-1734	146	35	to	to	ADP
cana-1734	146	36	the	the	DET
cana-1734	146	37	radial	radial	ADJ
cana-1734	146	38	velocity	velocity	NOUN
cana-1734	146	39	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	146	40	)	)	PUNCT
cana-1734	146	41	in	in	ADP
cana-1734	146	42	fig.3	fig.3	PROPN
cana-1734	146	43	.	.	PUNCT
cana-1734	147	1	magnitude	magnitude	NOUN
cana-1734	147	2	variations	variation	NOUN
cana-1734	147	3	in	in	ADP
cana-1734	147	4	the	the	DET
cana-1734	147	5	parameter	parameter	NOUN
cana-1734	147	6	's	's	PART
cana-1734	147	7	value	value	NOUN
cana-1734	147	8	can	can	AUX
cana-1734	147	9	cause	cause	VERB
cana-1734	147	10	a	a	DET
cana-1734	147	11	drop	drop	NOUN
cana-1734	147	12	in	in	ADP
cana-1734	147	13	the	the	DET
cana-1734	147	14	velocity	velocity	NOUN
cana-1734	147	15	profile	profile	NOUN
cana-1734	147	16	of	of	ADP
cana-1734	147	17	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	147	18	)	)	PUNCT
cana-1734	147	19	.	.	PUNCT
cana-1734	148	1	the	the	DET
cana-1734	148	2	plot	plot	NOUN
cana-1734	148	3	presented	present	VERB
cana-1734	148	4	in	in	ADP
cana-1734	148	5	fig	fig	NOUN
cana-1734	148	6	.	.	PUNCT
cana-1734	149	1	4	4	NUM
cana-1734	149	2	shows	show	VERB
cana-1734	149	3	the	the	DET
cana-1734	149	4	casson	casson	PROPN
cana-1734	149	5	parameter	parameter	PROPN
cana-1734	149	6	𝛽	𝛽	PROPN
cana-1734	149	7	value	value	NOUN
cana-1734	149	8	relative	relative	ADJ
cana-1734	149	9	to	to	ADP
cana-1734	149	10	the	the	DET
cana-1734	149	11	distribution	distribution	NOUN
cana-1734	149	12	of	of	ADP
cana-1734	149	13	the	the	DET
cana-1734	149	14	tangential	tangential	ADJ
cana-1734	149	15	velocity	velocity	NOUN
cana-1734	149	16	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	149	17	)	)	PUNCT
cana-1734	149	18	.	.	PUNCT
cana-1734	150	1	the	the	DET
cana-1734	150	2	value	value	NOUN
cana-1734	150	3	decrease	decrease	NOUN
cana-1734	150	4	shown	show	VERB
cana-1734	150	5	in	in	ADP
cana-1734	150	6	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	150	7	)	)	PUNCT
cana-1734	150	8	is	be	AUX
cana-1734	150	9	an	an	DET
cana-1734	150	10	interesting	interesting	ADJ
cana-1734	150	11	aspect	aspect	NOUN
cana-1734	150	12	of	of	ADP
cana-1734	150	13	the	the	DET
cana-1734	150	14	plot	plot	NOUN
cana-1734	150	15	.	.	PUNCT
cana-1734	151	1	the	the	DET
cana-1734	151	2	darcy	darcy	PROPN
cana-1734	151	3	-	-	PUNCT
cana-1734	151	4	forchheimer	forchheimer	PROPN
cana-1734	151	5	parameter	parameter	NOUN
cana-1734	151	6	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	151	7	influence	influence	NOUN
cana-1734	151	8	on	on	ADP
cana-1734	151	9	the	the	DET
cana-1734	151	10	radial	radial	ADJ
cana-1734	151	11	velocity	velocity	NOUN
cana-1734	151	12	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	151	13	)	)	PUNCT
cana-1734	151	14	speed	speed	NOUN
cana-1734	151	15	profile	profile	NOUN
cana-1734	151	16	is	be	AUX
cana-1734	151	17	shown	show	VERB
cana-1734	151	18	in	in	ADP
cana-1734	151	19	fig	fig	NOUN
cana-1734	151	20	.	.	PUNCT
cana-1734	152	1	5	5	X
cana-1734	152	2	.	.	PUNCT
cana-1734	152	3	the	the	DET
cana-1734	152	4	reduction	reduction	NOUN
cana-1734	152	5	in	in	ADP
cana-1734	152	6	the	the	DET
cana-1734	152	7	profile	profile	NOUN
cana-1734	152	8	is	be	AUX
cana-1734	152	9	the	the	DET
cana-1734	152	10	result	result	NOUN
cana-1734	152	11	of	of	ADP
cana-1734	152	12	higher	high	ADJ
cana-1734	152	13	estimates	estimate	NOUN
cana-1734	152	14	for	for	ADP
cana-1734	152	15	this	this	DET
cana-1734	152	16	parameter	parameter	NOUN
cana-1734	152	17	.	.	PUNCT
cana-1734	153	1	the	the	DET
cana-1734	153	2	fig.6	fig.6	PROPN
cana-1734	153	3	shows	show	VERB
cana-1734	153	4	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	153	5	variable	variable	NOUN
cana-1734	153	6	's	's	PART
cana-1734	153	7	identifiable	identifiable	ADJ
cana-1734	153	8	speed	speed	NOUN
cana-1734	153	9	circulation	circulation	NOUN
cana-1734	153	10	range	range	NOUN
cana-1734	153	11	in	in	ADP
cana-1734	153	12	the	the	DET
cana-1734	153	13	tangential	tangential	ADJ
cana-1734	153	14	velocity	velocity	NOUN
cana-1734	153	15	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	153	16	)	)	PUNCT
cana-1734	153	17	.	.	PUNCT
cana-1734	154	1	the	the	DET
cana-1734	154	2	distribution	distribution	NOUN
cana-1734	154	3	and	and	CCONJ
cana-1734	154	4	other	other	ADJ
cana-1734	154	5	layers	layer	NOUN
cana-1734	154	6	speed	speed	NOUN
cana-1734	154	7	profile	profile	NOUN
cana-1734	154	8	also	also	ADV
cana-1734	154	9	decreased	decrease	VERB
cana-1734	154	10	due	due	ADP
cana-1734	154	11	to	to	ADP
cana-1734	154	12	the	the	DET
cana-1734	154	13	expanding	expand	VERB
cana-1734	154	14	value	value	NOUN
cana-1734	154	15	.	.	PUNCT
cana-1734	155	1	fig.7	fig.7	ADJ
cana-1734	155	2	shows	show	VERB
cana-1734	155	3	the	the	DET
cana-1734	155	4	various	various	ADJ
cana-1734	155	5	k	k	PROPN
cana-1734	155	6	permeability	permeability	NOUN
cana-1734	155	7	factor	factor	NOUN
cana-1734	155	8	estimates	estimate	NOUN
cana-1734	155	9	made	make	VERB
cana-1734	155	10	using	use	VERB
cana-1734	155	11	a	a	DET
cana-1734	155	12	rotating	rotate	VERB
cana-1734	155	13	disc	disc	NOUN
cana-1734	155	14	’s	’s	PART
cana-1734	155	15	distribution	distribution	NOUN
cana-1734	155	16	of	of	ADP
cana-1734	155	17	nanofluid	nanofluid	PROPN
cana-1734	155	18	.	.	PUNCT
cana-1734	156	1	since	since	SCONJ
cana-1734	156	2	k	k	PROPN
cana-1734	156	3	increases	increase	VERB
cana-1734	156	4	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	156	5	)	)	PUNCT
cana-1734	156	6	decreases	decrease	NOUN
cana-1734	156	7	for	for	ADP
cana-1734	156	8	the	the	DET
cana-1734	156	9	nano	nano	NOUN
cana-1734	156	10	fluid	fluid	NOUN
cana-1734	156	11	we	we	PRON
cana-1734	156	12	understood	understand	VERB
cana-1734	156	13	here	here	ADV
cana-1734	156	14	that	that	SCONJ
cana-1734	156	15	the	the	DET
cana-1734	156	16	higher	high	ADJ
cana-1734	156	17	values	value	NOUN
cana-1734	156	18	of	of	ADP
cana-1734	156	19	permeability	permeability	NOUN
cana-1734	156	20	constraint	constraint	NOUN
cana-1734	156	21	indicate	indicate	VERB
cana-1734	156	22	lower	low	ADJ
cana-1734	156	23	permeability	permeability	NOUN
cana-1734	156	24	of	of	ADP
cana-1734	156	25	the	the	DET
cana-1734	156	26	porous	porous	ADJ
cana-1734	156	27	medium	medium	NOUN
cana-1734	156	28	.	.	PUNCT
cana-1734	157	1	the	the	DET
cana-1734	157	2	consequence	consequence	NOUN
cana-1734	157	3	of	of	ADP
cana-1734	157	4	raising	raise	VERB
cana-1734	157	5	the	the	DET
cana-1734	157	6	porosity	porosity	NOUN
cana-1734	157	7	parameter	parameter	NOUN
cana-1734	157	8	k	k	PROPN
cana-1734	157	9	is	be	AUX
cana-1734	157	10	shown	show	VERB
cana-1734	157	11	in	in	ADP
cana-1734	157	12	fig	fig	NOUN
cana-1734	157	13	.	.	PUNCT
cana-1734	158	1	8	8	NUM
cana-1734	158	2	,	,	PUNCT
cana-1734	158	3	whereby	whereby	SCONJ
cana-1734	158	4	the	the	DET
cana-1734	158	5	nanofluid	nanofluid	NOUN
cana-1734	158	6	’s	’s	PART
cana-1734	158	7	flow	flow	NOUN
cana-1734	158	8	g(η	g(η	PROPN
cana-1734	158	9	)	)	PUNCT
cana-1734	158	10	decreases	decrease	VERB
cana-1734	158	11	.	.	PUNCT
cana-1734	159	1	fig.9	fig.9	ADP
cana-1734	159	2	the	the	DET
cana-1734	159	3	thermal	thermal	ADJ
cana-1734	159	4	relaxation	relaxation	NOUN
cana-1734	159	5	coefficient	coefficient	NOUN
cana-1734	159	6	𝛾1	𝛾1	PROPN
cana-1734	159	7	influences	influence	VERB
cana-1734	159	8	the	the	DET
cana-1734	159	9	temperature	temperature	NOUN
cana-1734	159	10	profile	profile	NOUN
cana-1734	159	11	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	159	12	)	)	PUNCT
cana-1734	159	13	of	of	ADP
cana-1734	159	14	a	a	DET
cana-1734	159	15	fluid	fluid	NOUN
cana-1734	159	16	.	.	PUNCT
cana-1734	160	1	high	high	ADJ
cana-1734	160	2	values	value	NOUN
cana-1734	160	3	of	of	ADP
cana-1734	160	4	this	this	DET
cana-1734	160	5	parameter	parameter	NOUN
cana-1734	160	6	can	can	AUX
cana-1734	160	7	cause	cause	VERB
cana-1734	160	8	the	the	DET
cana-1734	160	9	fluid	fluid	NOUN
cana-1734	160	10	’s	’s	PART
cana-1734	160	11	temperature	temperature	NOUN
cana-1734	160	12	to	to	PART
cana-1734	160	13	decrease	decrease	VERB
cana-1734	160	14	.	.	PUNCT
cana-1734	161	1	its	its	PRON
cana-1734	161	2	insulating	insulate	VERB
cana-1734	161	3	properties	property	NOUN
cana-1734	161	4	can	can	AUX
cana-1734	161	5	help	help	VERB
cana-1734	161	6	in	in	ADP
cana-1734	161	7	reducing	reduce	VERB
cana-1734	161	8	the	the	DET
cana-1734	161	9	temperature	temperature	NOUN
cana-1734	161	10	.	.	PUNCT
cana-1734	162	1	the	the	DET
cana-1734	162	2	distribution	distribution	NOUN
cana-1734	162	3	of	of	ADP
cana-1734	162	4	temperatures	temperature	NOUN
cana-1734	162	5	is	be	AUX
cana-1734	162	6	also	also	ADV
cana-1734	162	7	studied	study	VERB
cana-1734	162	8	by	by	ADP
cana-1734	162	9	analyzing	analyze	VERB
cana-1734	162	10	how	how	SCONJ
cana-1734	162	11	a	a	PRON
cana-1734	162	12	and	and	CCONJ
cana-1734	162	13	b	b	NOUN
cana-1734	162	14	,	,	PUNCT
cana-1734	162	15	as	as	ADV
cana-1734	162	16	well	well	ADV
cana-1734	162	17	as	as	ADP
cana-1734	162	18	the	the	DET
cana-1734	162	19	sink	sink	NOUN
cana-1734	162	20	and	and	CCONJ
cana-1734	162	21	heat	heat	NOUN
cana-1734	162	22	source	source	NOUN
cana-1734	162	23	,	,	PUNCT
cana-1734	162	24	affect	affect	VERB
cana-1734	162	25	this	this	DET
cana-1734	162	26	phenomenon	phenomenon	NOUN
cana-1734	162	27	.	.	PUNCT
cana-1734	163	1	in	in	ADP
cana-1734	163	2	fig.10	fig.10	DET
cana-1734	163	3	&	&	CCONJ
cana-1734	163	4	11the	11the	ADJ
cana-1734	163	5	increasing	increase	VERB
cana-1734	163	6	values	value	NOUN
cana-1734	163	7	of	of	ADP
cana-1734	163	8	a	a	PRON
cana-1734	163	9	and	and	CCONJ
cana-1734	163	10	b	b	NOUN
cana-1734	163	11	can	can	AUX
cana-1734	163	12	cause	cause	VERB
cana-1734	163	13	the	the	DET
cana-1734	163	14	temperature	temperature	NOUN
cana-1734	163	15	profile𝜃(𝜂	profile𝜃(𝜂	NOUN
cana-1734	163	16	)	)	PUNCT
cana-1734	163	17	to	to	PART
cana-1734	163	18	rise	rise	VERB
cana-1734	163	19	.	.	PUNCT
cana-1734	164	1	the	the	DET
cana-1734	164	2	heat	heat	NOUN
cana-1734	164	3	source	source	NOUN
cana-1734	164	4	parameter	parameter	NOUN
cana-1734	164	5	can	can	AUX
cana-1734	164	6	then	then	ADV
cana-1734	164	7	cause	cause	VERB
cana-1734	164	8	the	the	DET
cana-1734	164	9	nanofluid	nanofluid	NOUN
cana-1734	164	10	to	to	PART
cana-1734	164	11	generate	generate	VERB
cana-1734	164	12	more	more	ADJ
cana-1734	164	13	heat	heat	NOUN
cana-1734	164	14	.	.	PUNCT
cana-1734	165	1	the	the	DET
cana-1734	165	2	brownian	brownian	ADJ
cana-1734	165	3	factor	factor	NOUN
cana-1734	165	4	known	know	VERB
cana-1734	165	5	as	as	ADP
cana-1734	165	6	nb	nb	PROPN
cana-1734	165	7	influences	influence	VERB
cana-1734	165	8	the	the	DET
cana-1734	165	9	temperature	temperature	NOUN
cana-1734	165	10	profile	profile	NOUN
cana-1734	165	11	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	165	12	)	)	PUNCT
cana-1734	165	13	by	by	ADP
cana-1734	165	14	determining	determine	VERB
cana-1734	165	15	its	its	PRON
cana-1734	165	16	distribution	distribution	NOUN
cana-1734	165	17	.	.	PUNCT
cana-1734	166	1	another	another	DET
cana-1734	166	2	wellknown	wellknown	ADJ
cana-1734	166	3	thermal	thermal	NOUN
cana-1734	166	4	and	and	CCONJ
cana-1734	166	5	spatial	spatial	ADJ
cana-1734	166	6	parameter	parameter	NOUN
cana-1734	166	7	,	,	PUNCT
cana-1734	166	8	the	the	DET
cana-1734	166	9	prandtl	prandtl	NOUN
cana-1734	166	10	number	number	NOUN
cana-1734	166	11	pr	pr	NOUN
cana-1734	166	12	,	,	PUNCT
cana-1734	166	13	shows	show	VERB
cana-1734	166	14	the	the	DET
cana-1734	166	15	transfer	transfer	NOUN
cana-1734	166	16	rate	rate	NOUN
cana-1734	166	17	of	of	ADP
cana-1734	166	18	heat	heat	NOUN
cana-1734	166	19	from	from	ADP
cana-1734	166	20	a	a	DET
cana-1734	166	21	solid	solid	NOUN
cana-1734	166	22	to	to	ADP
cana-1734	166	23	a	a	DET
cana-1734	166	24	flowing	flow	VERB
cana-1734	166	25	liquid	liquid	NOUN
cana-1734	166	26	.	.	PUNCT
cana-1734	167	1	temperature	temperature	NOUN
cana-1734	167	2	profiles	profile	NOUN
cana-1734	167	3	begin	begin	VERB
cana-1734	167	4	to	to	PART
cana-1734	167	5	decrease	decrease	VERB
cana-1734	167	6	as	as	SCONJ
cana-1734	167	7	the	the	DET
cana-1734	167	8	prandtl	prandtl	NOUN
cana-1734	167	9	numbers	number	NOUN
cana-1734	167	10	are	be	AUX
cana-1734	167	11	raised	raise	VERB
cana-1734	167	12	in	in	ADP
cana-1734	167	13	fig.12	fig.12	NOUN
cana-1734	167	14	.	.	PUNCT
cana-1734	168	1	the	the	DET
cana-1734	168	2	distribution	distribution	NOUN
cana-1734	168	3	of	of	ADP
cana-1734	168	4	concentration	concentration	NOUN
cana-1734	168	5	profile	profile	NOUN
cana-1734	168	6	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	168	7	)	)	PUNCT
cana-1734	168	8	across	across	ADP
cana-1734	168	9	fig.13	fig.13	PROPN
cana-1734	168	10	shows	show	VERB
cana-1734	168	11	a	a	DET
cana-1734	168	12	decreasing	decrease	VERB
cana-1734	168	13	trend	trend	NOUN
cana-1734	168	14	as	as	ADP
cana-1734	168	15	the	the	DET
cana-1734	168	16	prandtl	prandtl	NOUN
cana-1734	168	17	number	number	NOUN
cana-1734	168	18	pr	pr	NOUN
cana-1734	168	19	increases	increase	NOUN
cana-1734	168	20	.	.	PUNCT
cana-1734	169	1	the	the	DET
cana-1734	169	2	relationship	relationship	NOUN
cana-1734	169	3	between	between	ADP
cana-1734	169	4	conductivity	conductivity	NOUN
cana-1734	169	5	and	and	CCONJ
cana-1734	169	6	thermal	thermal	ADJ
cana-1734	169	7	diffusivity	diffusivity	NOUN
cana-1734	169	8	can	can	AUX
cana-1734	169	9	be	be	AUX
cana-1734	169	10	represented	represent	VERB
cana-1734	169	11	by	by	ADP
cana-1734	169	12	the	the	DET
cana-1734	169	13	prandtl	prandtl	NOUN
cana-1734	169	14	number	number	NOUN
cana-1734	169	15	.	.	PUNCT
cana-1734	170	1	because	because	SCONJ
cana-1734	170	2	of	of	ADP
cana-1734	170	3	this	this	PRON
cana-1734	170	4	,	,	PUNCT
cana-1734	170	5	the	the	DET
cana-1734	170	6	increased	increase	VERB
cana-1734	170	7	prandtl	prandtl	NOUN
cana-1734	170	8	values	value	NOUN
cana-1734	170	9	can	can	AUX
cana-1734	170	10	cause	cause	VERB
cana-1734	170	11	thermal	thermal	ADJ
cana-1734	170	12	diffusivity	diffusivity	NOUN
cana-1734	170	13	to	to	PART
cana-1734	170	14	decrease	decrease	VERB
cana-1734	170	15	.	.	PUNCT
cana-1734	171	1	fig.14	fig.14	PRON
cana-1734	171	2	depicts	depict	VERB
cana-1734	171	3	the	the	DET
cana-1734	171	4	random	random	ADJ
cana-1734	171	5	motion	motion	NOUN
cana-1734	171	6	of	of	ADP
cana-1734	171	7	microscopic	microscopic	ADJ
cana-1734	171	8	particles	particle	NOUN
cana-1734	171	9	increases	increase	NOUN
cana-1734	171	10	as	as	SCONJ
cana-1734	171	11	the	the	DET
cana-1734	171	12	brownian	brownian	ADJ
cana-1734	171	13	moment	moment	NOUN
cana-1734	171	14	factor	factor	NOUN
cana-1734	171	15	rises	rise	VERB
cana-1734	171	16	.	.	PUNCT
cana-1734	172	1	the	the	DET
cana-1734	172	2	heightened	heighten	VERB
cana-1734	172	3	random	random	ADJ
cana-1734	172	4	brownian	brownian	ADJ
cana-1734	172	5	motion	motion	NOUN
cana-1734	172	6	nb	nb	PROPN
cana-1734	172	7	leads	lead	VERB
cana-1734	172	8	to	to	ADP
cana-1734	172	9	increased	increase	VERB
cana-1734	172	10	collisions	collision	NOUN
cana-1734	172	11	among	among	ADP
cana-1734	172	12	nano	nano	NOUN
cana-1734	172	13	particles	particle	NOUN
cana-1734	172	14	,	,	PUNCT
cana-1734	172	15	causing	cause	VERB
cana-1734	172	16	the	the	DET
cana-1734	172	17	conversion	conversion	NOUN
cana-1734	172	18	of	of	ADP
cana-1734	172	19	kinetic	kinetic	ADJ
cana-1734	172	20	energy	energy	NOUN
cana-1734	172	21	into	into	ADP
cana-1734	172	22	heat	heat	NOUN
cana-1734	172	23	energy	energy	NOUN
cana-1734	172	24	.	.	PUNCT
cana-1734	173	1	consequently	consequently	ADV
cana-1734	173	2	;	;	PUNCT
cana-1734	173	3	an	an	DET
cana-1734	173	4	increase	increase	NOUN
cana-1734	173	5	the	the	DET
cana-1734	173	6	brownian	brownian	ADJ
cana-1734	173	7	motion	motion	NOUN
cana-1734	173	8	factor	factor	NOUN
cana-1734	173	9	nb	nb	NOUN
cana-1734	173	10	results	result	VERB
cana-1734	173	11	in	in	ADP
cana-1734	173	12	an	an	DET
cana-1734	173	13	elevated	elevated	ADJ
cana-1734	173	14	temperature	temperature	NOUN
cana-1734	173	15	distribution	distribution	NOUN
cana-1734	173	16	with	with	ADP
cana-1734	173	17	in	in	ADP
cana-1734	173	18	fluid	fluid	NOUN
cana-1734	173	19	.	.	PUNCT
cana-1734	174	1	fig.15	fig.15	VERB
cana-1734	174	2	the	the	DET
cana-1734	174	3	concentration	concentration	NOUN
cana-1734	174	4	profile	profile	NOUN
cana-1734	174	5	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	174	6	)	)	PUNCT
cana-1734	174	7	can	can	AUX
cana-1734	174	8	be	be	AUX
cana-1734	174	9	described	describe	VERB
cana-1734	174	10	as	as	ADP
cana-1734	174	11	a	a	DET
cana-1734	174	12	distinct	distinct	ADJ
cana-1734	174	13	characteristic	characteristic	NOUN
cana-1734	174	14	by	by	ADP
cana-1734	174	15	increasing	increase	VERB
cana-1734	174	16	nb	nb	PROPN
cana-1734	174	17	values	value	NOUN
cana-1734	174	18	.	.	PUNCT
cana-1734	175	1	the	the	DET
cana-1734	175	2	relationship	relationship	NOUN
cana-1734	175	3	between	between	ADP
cana-1734	175	4	the	the	DET
cana-1734	175	5	concentration	concentration	NOUN
cana-1734	175	6	profile	profile	NOUN
cana-1734	175	7	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	175	8	)	)	PUNCT
cana-1734	175	9	and	and	CCONJ
cana-1734	175	10	temperature	temperature	NOUN
cana-1734	175	11	distribution	distribution	NOUN
cana-1734	175	12	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	175	13	)	)	PUNCT
cana-1734	175	14	can	can	AUX
cana-1734	175	15	be	be	AUX
cana-1734	175	16	shown	show	VERB
cana-1734	175	17	in	in	ADP
cana-1734	175	18	fig.16	fig.16	PROPN
cana-1734	175	19	.	.	PUNCT
cana-1734	176	1	it	it	PRON
cana-1734	176	2	's	be	AUX
cana-1734	176	3	revealed	reveal	VERB
cana-1734	176	4	that	that	SCONJ
cana-1734	176	5	the	the	DET
cana-1734	176	6	thermophoresis	thermophoresis	NOUN
cana-1734	176	7	factor	factor	NOUN
cana-1734	176	8	nt	not	PART
cana-1734	176	9	causes	cause	VERB
cana-1734	176	10	an	an	DET
cana-1734	176	11	increase	increase	NOUN
cana-1734	176	12	in	in	ADP
cana-1734	176	13	this	this	DET
cana-1734	176	14	parameter	parameter	NOUN
cana-1734	176	15	's	's	PART
cana-1734	176	16	profile	profile	NOUN
cana-1734	176	17	.	.	PUNCT
cana-1734	177	1	a	a	DET
cana-1734	177	2	plot	plot	NOUN
cana-1734	177	3	against	against	ADP
cana-1734	177	4	fig.17	fig.17	PROPN
cana-1734	177	5	shows	show	VERB
cana-1734	177	6	the	the	DET
cana-1734	177	7	nt	not	PART
cana-1734	177	8	features	feature	NOUN
cana-1734	177	9	and	and	CCONJ
cana-1734	177	10	how	how	SCONJ
cana-1734	177	11	they	they	PRON
cana-1734	177	12	affect	affect	VERB
cana-1734	177	13	the	the	DET
cana-1734	177	14	distribution	distribution	NOUN
cana-1734	177	15	.	.	PUNCT
cana-1734	178	1	in	in	ADP
cana-1734	178	2	fig.18	fig.18	ADJ
cana-1734	178	3	the	the	DET
cana-1734	178	4	concentration	concentration	NOUN
cana-1734	178	5	distribution	distribution	NOUN
cana-1734	178	6	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	178	7	)	)	PUNCT
cana-1734	178	8	and	and	CCONJ
cana-1734	178	9	the	the	DET
cana-1734	178	10	lewis	lewis	PROPN
cana-1734	178	11	parameter	parameter	PROPN
cana-1734	178	12	le	le	PROPN
cana-1734	178	13	can	can	AUX
cana-1734	178	14	be	be	AUX
cana-1734	178	15	moved	move	VERB
cana-1734	178	16	together	together	ADV
cana-1734	178	17	to	to	PART
cana-1734	178	18	show	show	VERB
cana-1734	178	19	the	the	DET
cana-1734	178	20	relationship	relationship	NOUN
cana-1734	178	21	between	between	ADP
cana-1734	178	22	their	their	PRON
cana-1734	178	23	values	value	NOUN
cana-1734	178	24	.	.	PUNCT
cana-1734	179	1	it	it	PRON
cana-1734	179	2	's	be	AUX
cana-1734	179	3	important	important	ADJ
cana-1734	179	4	to	to	PART
cana-1734	179	5	note	note	VERB
cana-1734	179	6	that	that	SCONJ
cana-1734	179	7	the	the	DET
cana-1734	179	8	rising	rise	VERB
cana-1734	179	9	le	le	X
cana-1734	179	10	value	value	NOUN
cana-1734	179	11	causes	cause	VERB
cana-1734	179	12	a	a	DET
cana-1734	179	13	decrease	decrease	NOUN
cana-1734	179	14	in	in	ADP
cana-1734	179	15	the	the	DET
cana-1734	179	16	distribution	distribution	NOUN
cana-1734	179	17	.	.	PUNCT
cana-1734	180	1	this	this	PRON
cana-1734	180	2	illustrates	illustrate	VERB
cana-1734	180	3	the	the	DET
cana-1734	180	4	link	link	NOUN
cana-1734	180	5	between	between	ADP
cana-1734	180	6	the	the	DET
cana-1734	180	7	various	various	ADJ
cana-1734	180	8	features	feature	NOUN
cana-1734	180	9	of	of	ADP
cana-1734	180	10	pr	pr	NOUN
cana-1734	180	11	and	and	CCONJ
cana-1734	180	12	the	the	DET
cana-1734	180	13	concentration	concentration	NOUN
cana-1734	180	14	field	field	NOUN
cana-1734	180	15	.	.	PUNCT
cana-1734	181	1	communications	communication	NOUN
cana-1734	181	2	on	on	ADP
cana-1734	181	3	applied	apply	VERB
cana-1734	181	4	nonlinear	nonlinear	ADJ
cana-1734	181	5	analysis	analysis	NOUN
cana-1734	181	6	issn	issn	NOUN
cana-1734	181	7	:	:	PUNCT
cana-1734	181	8	1074	1074	NUM
cana-1734	181	9	-	-	PUNCT
cana-1734	181	10	133x	133x	NUM
cana-1734	181	11	vol	vol	NOUN
cana-1734	181	12	32	32	NUM
cana-1734	181	13	no	no	NOUN
cana-1734	181	14	.	.	NOUN
cana-1734	181	15	2	2	NUM
cana-1734	181	16	(	(	PUNCT
cana-1734	181	17	2025	2025	NUM
cana-1734	181	18	)	)	PUNCT
cana-1734	181	19	181	181	NUM
cana-1734	181	20	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1734	181	21	fig.1	fig.1	PROPN
cana-1734	181	22	impact	impact	NOUN
cana-1734	181	23	of	of	ADP
cana-1734	181	24	m	m	NOUN
cana-1734	181	25	on	on	ADP
cana-1734	181	26	radial	radial	ADJ
cana-1734	181	27	velocity𝑓′(𝜂	velocity𝑓′(𝜂	PROPN
cana-1734	181	28	)	)	PUNCT
cana-1734	181	29	.	.	PUNCT
cana-1734	182	1	fig	fig	NOUN
cana-1734	182	2	.	.	PUNCT
cana-1734	183	1	2	2	NUM
cana-1734	183	2	impact	impact	NOUN
cana-1734	183	3	of	of	ADP
cana-1734	183	4	m	m	NOUN
cana-1734	183	5	on	on	ADP
cana-1734	183	6	tangential	tangential	ADJ
cana-1734	183	7	velocity	velocity	NOUN
cana-1734	183	8	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	183	9	)	)	PUNCT
cana-1734	183	10	.	.	PUNCT
cana-1734	184	1	fig.3	fig.3	ADJ
cana-1734	184	2	impact	impact	NOUN
cana-1734	184	3	of	of	ADP
cana-1734	184	4	casson	casson	PROPN
cana-1734	184	5	parameter	parameter	PROPN
cana-1734	184	6	𝛽	𝛽	PROPN
cana-1734	184	7	on	on	ADP
cana-1734	184	8	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	184	9	)	)	PUNCT
cana-1734	184	10	.	.	PUNCT
cana-1734	185	1	fig.4	fig.4	PRON
cana-1734	185	2	impact	impact	NOUN
cana-1734	185	3	of	of	ADP
cana-1734	185	4	casson	casson	PROPN
cana-1734	185	5	parameter	parameter	PROPN
cana-1734	185	6	𝛽	𝛽	PROPN
cana-1734	185	7	on	on	ADP
cana-1734	185	8	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	185	9	)	)	PUNCT
cana-1734	185	10	fig.5	fig.5	VERB
cana-1734	185	11	various	various	ADJ
cana-1734	185	12	of	of	ADP
cana-1734	185	13	forchhiemer	forchhiemer	ADJ
cana-1734	185	14	parameter	parameter	NOUN
cana-1734	185	15	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	185	16	on	on	ADP
cana-1734	185	17	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	185	18	)	)	PUNCT
cana-1734	185	19	.	.	PUNCT
cana-1734	186	1	fig.6	fig.6	VERB
cana-1734	186	2	various	various	ADJ
cana-1734	186	3	of	of	ADP
cana-1734	186	4	forchhiemer	forchhiemer	ADJ
cana-1734	186	5	parameter	parameter	NOUN
cana-1734	187	1	𝐹𝑟	𝐹𝑟	PROPN
cana-1734	187	2	on	on	ADP
cana-1734	187	3	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	187	4	)	)	PUNCT
cana-1734	187	5	communications	communication	NOUN
cana-1734	187	6	on	on	ADP
cana-1734	187	7	applied	apply	VERB
cana-1734	187	8	nonlinear	nonlinear	ADJ
cana-1734	187	9	analysis	analysis	NOUN
cana-1734	187	10	issn	issn	NOUN
cana-1734	187	11	:	:	PUNCT
cana-1734	187	12	1074	1074	NUM
cana-1734	187	13	-	-	PUNCT
cana-1734	187	14	133x	133x	NUM
cana-1734	187	15	vol	vol	NOUN
cana-1734	187	16	32	32	NUM
cana-1734	187	17	no	no	NOUN
cana-1734	187	18	.	.	NOUN
cana-1734	187	19	2	2	NUM
cana-1734	187	20	(	(	PUNCT
cana-1734	187	21	2025	2025	NUM
cana-1734	187	22	)	)	PUNCT
cana-1734	187	23	182	182	NUM
cana-1734	187	24	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	187	25	fig.7	fig.7	ADJ
cana-1734	187	26	impact	impact	NOUN
cana-1734	187	27	of	of	ADP
cana-1734	187	28	porosity	porosity	NOUN
cana-1734	187	29	parameter	parameter	NOUN
cana-1734	187	30	k	k	PROPN
cana-1734	187	31	on	on	ADP
cana-1734	187	32	radial	radial	ADJ
cana-1734	187	33	velocity	velocity	NOUN
cana-1734	187	34	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1734	187	35	)	)	PUNCT
cana-1734	187	36	.	.	PUNCT
cana-1734	188	1	fig.8	fig.8	PROPN
cana-1734	188	2	impact	impact	NOUN
cana-1734	188	3	of	of	ADP
cana-1734	188	4	porosity	porosity	NOUN
cana-1734	188	5	parameter	parameter	NOUN
cana-1734	188	6	k	k	PROPN
cana-1734	188	7	on	on	ADP
cana-1734	188	8	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	188	9	)	)	PUNCT
cana-1734	188	10	fig.9	fig.9	PROPN
cana-1734	188	11	influence	influence	NOUN
cana-1734	188	12	of	of	ADP
cana-1734	188	13	thermal	thermal	ADJ
cana-1734	188	14	relaxation	relaxation	NOUN
cana-1734	188	15	parameter	parameter	NOUN
cana-1734	188	16	𝛾1	𝛾1	PROPN
cana-1734	188	17	on	on	ADP
cana-1734	188	18	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	188	19	)	)	PUNCT
cana-1734	188	20	.	.	PUNCT
cana-1734	189	1	fig.10	fig.10	DET
cana-1734	189	2	influence	influence	NOUN
cana-1734	189	3	of	of	ADP
cana-1734	189	4	heat	heat	NOUN
cana-1734	189	5	source	source	NOUN
cana-1734	189	6	parameter	parameter	NOUN
cana-1734	189	7	a	a	PRON
cana-1734	189	8	on	on	ADP
cana-1734	189	9	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	189	10	)	)	PUNCT
cana-1734	189	11	fig.11	fig.11	VERB
cana-1734	189	12	influence	influence	NOUN
cana-1734	189	13	of	of	ADP
cana-1734	189	14	heat	heat	NOUN
cana-1734	189	15	sink	sink	NOUN
cana-1734	189	16	parameter	parameter	PROPN
cana-1734	189	17	b	b	PROPN
cana-1734	189	18	on	on	ADP
cana-1734	189	19	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	189	20	)	)	PUNCT
cana-1734	189	21	.	.	PUNCT
cana-1734	190	1	fig.12	fig.12	NOUN
cana-1734	190	2	influence	influence	NOUN
cana-1734	190	3	of	of	ADP
cana-1734	190	4	prandtl	prandtl	NOUN
cana-1734	190	5	number	number	NOUN
cana-1734	190	6	pr	pr	NOUN
cana-1734	190	7	on	on	ADP
cana-1734	190	8	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	190	9	)	)	PUNCT
cana-1734	190	10	communications	communication	NOUN
cana-1734	190	11	on	on	ADP
cana-1734	190	12	applied	apply	VERB
cana-1734	190	13	nonlinear	nonlinear	ADJ
cana-1734	190	14	analysis	analysis	NOUN
cana-1734	190	15	issn	issn	NOUN
cana-1734	190	16	:	:	PUNCT
cana-1734	190	17	1074	1074	NUM
cana-1734	190	18	-	-	PUNCT
cana-1734	190	19	133x	133x	NUM
cana-1734	190	20	vol	vol	NOUN
cana-1734	190	21	32	32	NUM
cana-1734	190	22	no	no	NOUN
cana-1734	190	23	.	.	NOUN
cana-1734	190	24	2	2	NUM
cana-1734	190	25	(	(	PUNCT
cana-1734	190	26	2025	2025	NUM
cana-1734	190	27	)	)	PUNCT
cana-1734	190	28	183	183	NUM
cana-1734	190	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	190	30	fig.13	fig.13	VERB
cana-1734	190	31	influence	influence	NOUN
cana-1734	190	32	of	of	ADP
cana-1734	190	33	prandtl	prandtl	NOUN
cana-1734	190	34	number	number	NOUN
cana-1734	190	35	pr	pr	NOUN
cana-1734	190	36	on	on	ADP
cana-1734	190	37	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1734	190	38	)	)	PUNCT
cana-1734	190	39	.	.	PUNCT
cana-1734	191	1	fig.14	fig.14	NOUN
cana-1734	191	2	influence	influence	NOUN
cana-1734	191	3	of	of	ADP
cana-1734	191	4	brownian	brownian	ADJ
cana-1734	191	5	factor	factor	NOUN
cana-1734	191	6	nb	nb	NOUN
cana-1734	191	7	on	on	ADP
cana-1734	191	8	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1734	191	9	)	)	PUNCT
cana-1734	191	10	fig	fig	NOUN
cana-1734	191	11	.	.	PUNCT
cana-1734	192	1	15	15	NUM
cana-1734	192	2	influence	influence	NOUN
cana-1734	192	3	of	of	ADP
cana-1734	192	4	brownian	brownian	ADJ
cana-1734	192	5	factor	factor	NOUN
cana-1734	192	6	nb	nb	NOUN
cana-1734	192	7	on	on	ADP
cana-1734	192	8	ϕ	ϕ	X
cana-1734	192	9	(	(	PUNCT
cana-1734	192	10	𝜂	𝜂	NOUN
cana-1734	192	11	)	)	PUNCT
cana-1734	192	12	.	.	PUNCT
cana-1734	193	1	fig.16	fig.16	PROPN
cana-1734	193	2	influence	influence	NOUN
cana-1734	193	3	of	of	ADP
cana-1734	193	4	thermophoresis	thermophoresis	NOUN
cana-1734	193	5	parameter	parameter	NOUN
cana-1734	193	6	nt	not	PART
cana-1734	193	7	on	on	ADP
cana-1734	193	8	θ(𝜂	θ(𝜂	NOUN
cana-1734	193	9	)	)	PUNCT
cana-1734	194	1	fig.17	fig.17	X
cana-1734	194	2	influence	influence	NOUN
cana-1734	194	3	of	of	ADP
cana-1734	194	4	thermophoresis	thermophoresis	NOUN
cana-1734	194	5	parameter	parameter	NOUN
cana-1734	194	6	nt	not	PART
cana-1734	194	7	on	on	ADP
cana-1734	194	8	ϕ(𝜂	ϕ(𝜂	NUM
cana-1734	194	9	)	)	PUNCT
cana-1734	194	10	.	.	PUNCT
cana-1734	195	1	fig.18	fig.18	PROPN
cana-1734	195	2	influence	influence	PROPN
cana-1734	195	3	lewis	lewis	PROPN
cana-1734	195	4	number	number	NOUN
cana-1734	195	5	le	le	X
cana-1734	195	6	on	on	ADP
cana-1734	195	7	ϕ(𝜂	ϕ(𝜂	NUM
cana-1734	195	8	)	)	PUNCT
cana-1734	195	9	.	.	PUNCT
cana-1734	196	1	communications	communication	NOUN
cana-1734	196	2	on	on	ADP
cana-1734	196	3	applied	apply	VERB
cana-1734	196	4	nonlinear	nonlinear	ADJ
cana-1734	196	5	analysis	analysis	NOUN
cana-1734	196	6	issn	issn	NOUN
cana-1734	196	7	:	:	PUNCT
cana-1734	196	8	1074	1074	NUM
cana-1734	196	9	-	-	PUNCT
cana-1734	196	10	133x	133x	NUM
cana-1734	196	11	vol	vol	NOUN
cana-1734	196	12	32	32	NUM
cana-1734	196	13	no	no	NOUN
cana-1734	196	14	.	.	NOUN
cana-1734	196	15	2	2	NUM
cana-1734	196	16	(	(	PUNCT
cana-1734	196	17	2025	2025	NUM
cana-1734	196	18	)	)	PUNCT
cana-1734	196	19	184	184	NUM
cana-1734	196	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	196	21	table	table	NOUN
cana-1734	196	22	1	1	NUM
cana-1734	196	23	.	.	PUNCT
cana-1734	197	1	computational	computational	ADJ
cana-1734	197	2	values	value	NOUN
cana-1734	197	3	of	of	ADP
cana-1734	197	4	radial	radial	ADJ
cana-1734	197	5	velocity	velocity	NOUN
cana-1734	197	6	𝑓’(𝜂	𝑓’(𝜂	PROPN
cana-1734	197	7	)	)	PUNCT
cana-1734	197	8	,	,	PUNCT
cana-1734	197	9	tangential	tangential	ADJ
cana-1734	197	10	velocity	velocity	NOUN
cana-1734	197	11	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	197	12	)	)	PUNCT
cana-1734	197	13	computed	compute	VERB
cana-1734	197	14	against	against	ADP
cana-1734	197	15	various	various	ADJ
cana-1734	197	16	estimates	estimate	NOUN
cana-1734	197	17	m	m	VERB
cana-1734	197	18	,	,	PUNCT
cana-1734	197	19	k	k	NOUN
cana-1734	197	20	,	,	PUNCT
cana-1734	197	21	fr	fr	PROPN
cana-1734	197	22	,	,	PUNCT
cana-1734	197	23	𝛼	𝛼	X
cana-1734	197	24	,	,	PUNCT
cana-1734	197	25	𝛽	𝛽	NOUN
cana-1734	197	26	,	,	PUNCT
cana-1734	197	27	𝛾	𝛾	AUX
cana-1734	197	28	m	m	VERB
cana-1734	197	29	k	k	ADJ
cana-1734	198	1	fr	fr	PROPN
cana-1734	198	2	𝛽	𝛽	NOUN
cana-1734	198	3	𝛼	𝛼	PRON
cana-1734	198	4	𝛾	𝛾	ADP
cana-1734	198	5	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-1734	198	6	)	)	PUNCT
cana-1734	198	7	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1734	198	8	)	)	PUNCT
cana-1734	198	9	0.2	0.2	NUM
cana-1734	198	10	0.2	0.2	NUM
cana-1734	198	11	0.2	0.2	NUM
cana-1734	198	12	0.2	0.2	NUM
cana-1734	198	13	0.2	0.2	NUM
cana-1734	198	14	0.49356	0.49356	NUM
cana-1734	199	1	0.88414	0.88414	NUM
cana-1734	199	2	0.4	0.4	NUM
cana-1734	199	3	0.44601	0.44601	NUM
cana-1734	199	4	0.98320	0.98320	NUM
cana-1734	199	5	0.6	0.6	NUM
cana-1734	199	6	0.40793	0.40793	NUM
cana-1734	199	7	1.07683	1.07683	NUM
cana-1734	199	8	0.8	0.8	NUM
cana-1734	199	9	0.37703	0.37703	NUM
cana-1734	199	10	1.16536	1.16536	NUM
cana-1734	199	11	0.4	0.4	NUM
cana-1734	199	12	0.44601	0.44601	NUM
cana-1734	199	13	0.98320	0.98320	NUM
cana-1734	199	14	0.6	0.6	NUM
cana-1734	199	15	0.40793	0.40793	NUM
cana-1734	199	16	1.07683	1.07683	NUM
cana-1734	199	17	0.8	0.8	NUM
cana-1734	199	18	0.37703	0.37703	NUM
cana-1734	199	19	1.16536	1.16536	NUM
cana-1734	199	20	0.4	0.4	NUM
cana-1734	199	21	0.47187	0.47187	NUM
cana-1734	199	22	0.96897	0.96897	NUM
cana-1734	199	23	0.6	0.6	NUM
cana-1734	200	1	0.45304	0.45304	NUM
cana-1734	200	2	1.04822	1.04822	NUM
cana-1734	200	3	0.8	0.8	NUM
cana-1734	200	4	0.40295	0.40295	NUM
cana-1734	200	5	0.72191	0.72191	NUM
cana-1734	200	6	2	2	NUM
cana-1734	200	7	0.50974	0.50974	NUM
cana-1734	200	8	0.91313	0.91313	NUM
cana-1734	200	9	4	4	NUM
cana-1734	200	10	0.53311	0.53311	NUM
cana-1734	200	11	0.95498	0.95498	NUM
cana-1734	200	12	7	7	NUM
cana-1734	200	13	0.49356	0.49356	NUM
cana-1734	200	14	0.88414	0.88414	NUM
cana-1734	200	15	0.3	0.3	NUM
cana-1734	200	16	0.48231	0.48231	NUM
cana-1734	200	17	0.92732	0.92732	NUM
cana-1734	200	18	0.5	0.5	NUM
cana-1734	200	19	0.46214	0.46214	NUM
cana-1734	200	20	1.00923	1.00923	NUM
cana-1734	200	21	0.7	0.7	NUM
cana-1734	200	22	0.44452	0.44452	NUM
cana-1734	200	23	1.08605	1.08605	NUM
cana-1734	200	24	0.2	0.2	NUM
cana-1734	200	25	0.44601	0.44601	NUM
cana-1734	200	26	0.98320	0.98320	NUM
cana-1734	200	27	0.4	0.4	NUM
cana-1734	200	28	0.40793	0.40793	NUM
cana-1734	200	29	1.07683	1.07683	NUM
cana-1734	200	30	0.6	0.6	NUM
cana-1734	200	31	0.37703	0.37703	NUM
cana-1734	200	32	1.16536	1.16536	NUM
cana-1734	200	33	table	table	NOUN
cana-1734	200	34	2	2	NUM
cana-1734	200	35	.	.	PUNCT
cana-1734	200	36	numerical	numerical	ADJ
cana-1734	200	37	values	value	NOUN
cana-1734	200	38	of	of	ADP
cana-1734	200	39	−𝜃′(0	−𝜃′(0	PROPN
cana-1734	200	40	)	)	PUNCT
cana-1734	200	41	computed	compute	VERB
cana-1734	200	42	against	against	ADP
cana-1734	200	43	various	various	ADJ
cana-1734	200	44	estimates	estimate	NOUN
cana-1734	200	45	pr	pr	NOUN
cana-1734	200	46	,	,	PUNCT
cana-1734	200	47	nb	nb	INTJ
cana-1734	200	48	,	,	PUNCT
cana-1734	200	49	nt	not	PART
cana-1734	200	50	,	,	PUNCT
cana-1734	200	51	le	le	X
cana-1734	200	52	,	,	PUNCT
cana-1734	200	53	a	a	DET
cana-1734	200	54	,	,	PUNCT
cana-1734	200	55	b	b	NOUN
cana-1734	200	56	,	,	PUNCT
cana-1734	200	57	𝛾1	𝛾1	PROPN
cana-1734	200	58	,	,	PUNCT
cana-1734	200	59	𝛼	𝛼	X
cana-1734	200	60	,	,	PUNCT
cana-1734	200	61	𝛽	𝛽	NOUN
cana-1734	200	62	pr	pr	NOUN
cana-1734	200	63	nb	nb	INTJ
cana-1734	200	64	nt	not	PART
cana-1734	200	65	a	a	DET
cana-1734	200	66	b	b	PROPN
cana-1734	200	67	𝛾1	𝛾1	PROPN
cana-1734	200	68	𝛼	𝛼	PROPN
cana-1734	200	69	𝛽	𝛽	NOUN
cana-1734	200	70	le	le	X
cana-1734	200	71	−𝜃′(0	−𝜃′(0	NUM
cana-1734	200	72	)	)	PUNCT
cana-1734	201	1	0.3	0.3	NUM
cana-1734	201	2	0.3	0.3	NUM
cana-1734	201	3	0.1	0.1	NUM
cana-1734	201	4	0.1	0.1	NUM
cana-1734	201	5	0.1	0.1	NUM
cana-1734	201	6	0.1	0.1	NUM
cana-1734	201	7	0.2	0.2	NUM
cana-1734	201	8	0.2	0.2	NUM
cana-1734	201	9	0.1	0.1	NUM
cana-1734	201	10	0.08928	0.08928	NUM
cana-1734	201	11	0.5	0.5	NUM
cana-1734	201	12	0.08587	0.08587	NUM
cana-1734	201	13	0.9	0.9	NUM
cana-1734	201	14	0.07984	0.07984	NUM
cana-1734	201	15	0.1	0.1	NUM
cana-1734	201	16	0.06065	0.06065	NUM
cana-1734	201	17	0.2	0.2	NUM
cana-1734	201	18	0.07032	0.07032	NUM
cana-1734	201	19	0.4	0.4	NUM
cana-1734	201	20	0.09500	0.09500	NUM
cana-1734	201	21	0.2	0.2	NUM
cana-1734	201	22	0.01321	0.01321	NUM
cana-1734	201	23	0.3	0.3	NUM
cana-1734	201	24	0.02861	0.02861	NUM
cana-1734	201	25	0.4	0.4	NUM
cana-1734	201	26	0.06584	0.06584	NUM
cana-1734	201	27	0.15	0.15	NUM
cana-1734	201	28	0.02451	0.02451	NUM
cana-1734	201	29	0.2	0.2	NUM
cana-1734	201	30	0.03524	0.03524	NUM
cana-1734	201	31	0.25	0.25	NUM
cana-1734	201	32	0.09572	0.09572	NUM
cana-1734	201	33	communications	communication	NOUN
cana-1734	201	34	on	on	ADP
cana-1734	201	35	applied	apply	VERB
cana-1734	201	36	nonlinear	nonlinear	ADJ
cana-1734	201	37	analysis	analysis	NOUN
cana-1734	201	38	issn	issn	NOUN
cana-1734	201	39	:	:	PUNCT
cana-1734	201	40	1074	1074	NUM
cana-1734	201	41	-	-	PUNCT
cana-1734	201	42	133x	133x	NUM
cana-1734	201	43	vol	vol	NOUN
cana-1734	201	44	32	32	NUM
cana-1734	201	45	no	no	NOUN
cana-1734	201	46	.	.	NOUN
cana-1734	201	47	2	2	NUM
cana-1734	201	48	(	(	PUNCT
cana-1734	201	49	2025	2025	NUM
cana-1734	201	50	)	)	PUNCT
cana-1734	201	51	185	185	NUM
cana-1734	201	52	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	201	53	0.15	0.15	NUM
cana-1734	201	54	0.01347	0.01347	NUM
cana-1734	201	55	0.2	0.2	NUM
cana-1734	201	56	0.14270	0.14270	NUM
cana-1734	201	57	0.25	0.25	NUM
cana-1734	201	58	0.33113	0.33113	NUM
cana-1734	201	59	3	3	NUM
cana-1734	201	60	0.08814	0.08814	NUM
cana-1734	201	61	5	5	NUM
cana-1734	201	62	0.09439	0.09439	NUM
cana-1734	201	63	7	7	NUM
cana-1734	201	64	0.10154	0.10154	NUM
cana-1734	201	65	1	1	NUM
cana-1734	201	66	0.08410	0.08410	NUM
cana-1734	201	67	4	4	NUM
cana-1734	201	68	0.09109	0.09109	NUM
cana-1734	201	69	7	7	NUM
cana-1734	201	70	0.10154	0.10154	NUM
cana-1734	201	71	0.2	0.2	NUM
cana-1734	201	72	0.02705	0.02705	NUM
cana-1734	201	73	0.3	0.3	NUM
cana-1734	201	74	0.14069	0.14069	NUM
cana-1734	201	75	0.4	0.4	NUM
cana-1734	201	76	0.1	0.1	NUM
cana-1734	201	77	0.25694	0.25694	NUM
cana-1734	201	78	5	5	NUM
cana-1734	201	79	.	.	PUNCT
cana-1734	202	1	conclusions	conclusion	NOUN
cana-1734	202	2	the	the	DET
cana-1734	202	3	researchers	researcher	NOUN
cana-1734	202	4	studied	study	VERB
cana-1734	202	5	the	the	DET
cana-1734	202	6	swirling	swirling	ADJ
cana-1734	202	7	disk	disk	NOUN
cana-1734	202	8	with	with	ADP
cana-1734	202	9	a	a	DET
cana-1734	202	10	casson	casson	PROPN
cana-1734	202	11	nanofluid	nanofluid	NOUN
cana-1734	202	12	in	in	ADP
cana-1734	202	13	the	the	DET
cana-1734	202	14	presence	presence	NOUN
cana-1734	202	15	of	of	ADP
cana-1734	202	16	a	a	DET
cana-1734	202	17	cattaneochristov	cattaneochristov	NOUN
cana-1734	202	18	thermal	thermal	ADJ
cana-1734	202	19	flux	flux	NOUN
cana-1734	202	20	.	.	PUNCT
cana-1734	203	1	they	they	PRON
cana-1734	203	2	found	find	VERB
cana-1734	203	3	that	that	SCONJ
cana-1734	203	4	the	the	DET
cana-1734	203	5	disk	disk	NOUN
cana-1734	203	6	's	's	PART
cana-1734	203	7	flow	flow	NOUN
cana-1734	203	8	and	and	CCONJ
cana-1734	203	9	the	the	DET
cana-1734	203	10	associated	associated	ADJ
cana-1734	203	11	boundary	boundary	ADJ
cana-1734	203	12	conditions	condition	NOUN
cana-1734	203	13	have	have	VERB
cana-1734	203	14	convective	convective	ADJ
cana-1734	203	15	effects	effect	NOUN
cana-1734	203	16	.	.	PUNCT
cana-1734	204	1	the	the	DET
cana-1734	204	2	findings	finding	NOUN
cana-1734	204	3	of	of	ADP
cana-1734	204	4	the	the	DET
cana-1734	204	5	study	study	NOUN
cana-1734	204	6	support	support	VERB
cana-1734	204	7	the	the	DET
cana-1734	204	8	use	use	NOUN
cana-1734	204	9	of	of	ADP
cana-1734	204	10	bvp4c	bvp4c	NOUN
cana-1734	204	11	for	for	ADP
cana-1734	204	12	solving	solve	VERB
cana-1734	204	13	the	the	DET
cana-1734	204	14	boundary	boundary	ADJ
cana-1734	204	15	value	value	NOUN
cana-1734	204	16	problem	problem	NOUN
cana-1734	204	17	numerically	numerically	ADV
cana-1734	204	18	.	.	PUNCT
cana-1734	205	1	(	(	PUNCT
cana-1734	205	2	i	i	NOUN
cana-1734	205	3	)	)	PUNCT
cana-1734	205	4	the	the	DET
cana-1734	205	5	temperature	temperature	NOUN
cana-1734	205	6	profile	profile	NOUN
cana-1734	205	7	decreases	decrease	VERB
cana-1734	205	8	with	with	ADP
cana-1734	205	9	higher	high	ADJ
cana-1734	205	10	estimates	estimate	NOUN
cana-1734	205	11	of	of	ADP
cana-1734	205	12	the	the	DET
cana-1734	205	13	thermal	thermal	ADJ
cana-1734	205	14	relaxation	relaxation	NOUN
cana-1734	205	15	parameter	parameter	NOUN
cana-1734	205	16	.	.	PUNCT
cana-1734	206	1	(	(	PUNCT
cana-1734	206	2	ii	ii	NOUN
cana-1734	206	3	)	)	PUNCT
cana-1734	206	4	raising	raise	VERB
cana-1734	206	5	the	the	DET
cana-1734	206	6	fluid	fluid	NOUN
cana-1734	206	7	's	's	PART
cana-1734	206	8	temperature	temperature	NOUN
cana-1734	206	9	allows	allow	VERB
cana-1734	206	10	the	the	DET
cana-1734	206	11	researchers	researcher	NOUN
cana-1734	206	12	to	to	PART
cana-1734	206	13	calculate	calculate	VERB
cana-1734	206	14	the	the	DET
cana-1734	206	15	sink	sink	NOUN
cana-1734	206	16	or	or	CCONJ
cana-1734	206	17	heat	heat	NOUN
cana-1734	206	18	source	source	NOUN
cana-1734	206	19	parameter	parameter	NOUN
cana-1734	206	20	that	that	PRON
cana-1734	206	21	is	be	AUX
cana-1734	206	22	non	non	ADJ
cana-1734	206	23	-	-	ADJ
cana-1734	206	24	uniform	uniform	ADJ
cana-1734	206	25	.	.	PUNCT
cana-1734	207	1	(	(	PUNCT
cana-1734	207	2	iii	iii	X
cana-1734	207	3	)	)	PUNCT
cana-1734	207	4	the	the	DET
cana-1734	207	5	increase	increase	NOUN
cana-1734	207	6	in	in	ADP
cana-1734	207	7	the	the	DET
cana-1734	207	8	brownian	brownian	ADJ
cana-1734	207	9	motion	motion	NOUN
cana-1734	207	10	and	and	CCONJ
cana-1734	207	11	prandtl	prandtl	NOUN
cana-1734	207	12	number	number	NOUN
cana-1734	207	13	parameter	parameter	NOUN
cana-1734	207	14	's	's	PART
cana-1734	207	15	values	value	NOUN
cana-1734	207	16	leads	lead	VERB
cana-1734	207	17	to	to	ADP
cana-1734	207	18	a	a	DET
cana-1734	207	19	reduction	reduction	NOUN
cana-1734	207	20	of	of	ADP
cana-1734	207	21	the	the	DET
cana-1734	207	22	heat	heat	NOUN
cana-1734	207	23	field	field	NOUN
cana-1734	207	24	.	.	PUNCT
cana-1734	208	1	on	on	ADP
cana-1734	208	2	the	the	DET
cana-1734	208	3	other	other	ADJ
cana-1734	208	4	hand	hand	NOUN
cana-1734	208	5	,	,	PUNCT
cana-1734	208	6	the	the	DET
cana-1734	208	7	value	value	NOUN
cana-1734	208	8	of	of	ADP
cana-1734	208	9	nt	not	PART
cana-1734	208	10	increases	increase	NOUN
cana-1734	208	11	.	.	PUNCT
cana-1734	209	1	(	(	PUNCT
cana-1734	209	2	iv	iv	X
cana-1734	209	3	)	)	PUNCT
cana-1734	209	4	the	the	DET
cana-1734	209	5	study	study	NOUN
cana-1734	209	6	demonstrates	demonstrate	VERB
cana-1734	209	7	that	that	SCONJ
cana-1734	209	8	the	the	DET
cana-1734	209	9	nanoparticle	nanoparticle	NOUN
cana-1734	209	10	concentration	concentration	NOUN
cana-1734	209	11	decreases	decrease	VERB
cana-1734	209	12	with	with	ADP
cana-1734	209	13	the	the	DET
cana-1734	209	14	help	help	NOUN
cana-1734	209	15	of	of	ADP
cana-1734	209	16	the	the	DET
cana-1734	209	17	enhanced	enhance	VERB
cana-1734	209	18	slip	slip	NOUN
cana-1734	209	19	parameter	parameter	NOUN
cana-1734	209	20	and	and	CCONJ
cana-1734	209	21	brownian	brownian	ADJ
cana-1734	209	22	motion	motion	NOUN
cana-1734	209	23	.	.	PUNCT
cana-1734	210	1	references	reference	NOUN
cana-1734	210	2	[	[	X
cana-1734	210	3	1	1	NUM
cana-1734	210	4	]	]	PUNCT
cana-1734	210	5	copley	copley	NOUN
cana-1734	210	6	,	,	PUNCT
cana-1734	210	7	a.	a.	NOUN
cana-1734	210	8	(	(	PUNCT
cana-1734	210	9	1974	1974	NUM
cana-1734	210	10	)	)	PUNCT
cana-1734	210	11	.	.	PUNCT
cana-1734	211	1	hemorheological	hemorheological	ADJ
cana-1734	211	2	aspects	aspect	NOUN
cana-1734	211	3	of	of	ADP
cana-1734	211	4	the	the	DET
cana-1734	211	5	endothelium	endothelium	NOUN
cana-1734	211	6	-	-	PUNCT
cana-1734	211	7	plasma	plasma	NOUN
cana-1734	211	8	interface	interface	NOUN
cana-1734	211	9	.	.	PUNCT
cana-1734	212	1	microvascular	microvascular	ADJ
cana-1734	212	2	research	research	NOUN
cana-1734	212	3	,	,	PUNCT
cana-1734	212	4	8(2	8(2	NUM
cana-1734	212	5	)	)	PUNCT
cana-1734	212	6	,	,	PUNCT
cana-1734	212	7	192–212	192–212	NUM
cana-1734	212	8	.	.	PUNCT
cana-1734	213	1	https://doi.org/10.1016/0026-2862(74)90094-6	https://doi.org/10.1016/0026-2862(74)90094-6	PROPN
cana-1734	214	1	[	[	X
cana-1734	214	2	2	2	NUM
cana-1734	214	3	]	]	PUNCT
cana-1734	214	4	blair	blair	PROPN
cana-1734	214	5	,	,	PUNCT
cana-1734	214	6	g.	g.	PROPN
cana-1734	214	7	w.	w.	PROPN
cana-1734	214	8	s.	s.	PROPN
cana-1734	214	9	(	(	PUNCT
cana-1734	214	10	1959	1959	NUM
cana-1734	214	11	)	)	PUNCT
cana-1734	214	12	.	.	PUNCT
cana-1734	215	1	an	an	DET
cana-1734	215	2	equation	equation	NOUN
cana-1734	215	3	for	for	ADP
cana-1734	215	4	the	the	DET
cana-1734	215	5	flow	flow	NOUN
cana-1734	215	6	of	of	ADP
cana-1734	215	7	blood	blood	NOUN
cana-1734	215	8	,	,	PUNCT
cana-1734	215	9	plasma	plasma	NOUN
cana-1734	215	10	and	and	CCONJ
cana-1734	215	11	serum	serum	VERB
cana-1734	215	12	through	through	ADP
cana-1734	215	13	glass	glass	NOUN
cana-1734	215	14	capillaries	capillary	NOUN
cana-1734	215	15	.	.	PUNCT
cana-1734	216	1	nature	nature	NOUN
cana-1734	216	2	,	,	PUNCT
cana-1734	216	3	183(4661	183(4661	NUM
cana-1734	216	4	)	)	PUNCT
cana-1734	216	5	,	,	PUNCT
cana-1734	216	6	613–614	613–614	NUM
cana-1734	216	7	.	.	PUNCT
cana-1734	217	1	https://doi.org/10.1038/183613a0	https://doi.org/10.1038/183613a0	X
cana-1734	218	1	[	[	X
cana-1734	218	2	3	3	NUM
cana-1734	218	3	]	]	X
cana-1734	218	4	nadeem	nadeem	PROPN
cana-1734	218	5	,	,	PUNCT
cana-1734	218	6	s.	s.	PROPN
cana-1734	218	7	,	,	PUNCT
cana-1734	218	8	haq	haq	PROPN
cana-1734	218	9	,	,	PUNCT
cana-1734	218	10	r.	r.	PROPN
cana-1734	218	11	u.	u.	PROPN
cana-1734	218	12	,	,	PUNCT
cana-1734	218	13	&	&	CCONJ
cana-1734	218	14	lee	lee	PROPN
cana-1734	218	15	,	,	PUNCT
cana-1734	218	16	c.	c.	PROPN
cana-1734	218	17	(	(	PUNCT
cana-1734	218	18	2012	2012	NUM
cana-1734	218	19	)	)	PUNCT
cana-1734	218	20	.	.	PUNCT
cana-1734	219	1	mhd	mhd	NOUN
cana-1734	219	2	flow	flow	NOUN
cana-1734	219	3	of	of	ADP
cana-1734	219	4	a	a	DET
cana-1734	219	5	casson	casson	PROPN
cana-1734	219	6	fluid	fluid	NOUN
cana-1734	219	7	over	over	ADP
cana-1734	219	8	an	an	DET
cana-1734	219	9	exponentially	exponentially	ADV
cana-1734	219	10	shrinking	shrink	VERB
cana-1734	219	11	sheet	sheet	NOUN
cana-1734	219	12	.	.	PUNCT
cana-1734	220	1	scientia	scientia	PROPN
cana-1734	220	2	iranica	iranica	PROPN
cana-1734	220	3	,	,	PUNCT
cana-1734	220	4	19(6	19(6	NUM
cana-1734	220	5	)	)	PUNCT
cana-1734	220	6	,	,	PUNCT
cana-1734	220	7	1550–1553	1550–1553	NUM
cana-1734	220	8	.	.	PUNCT
cana-1734	221	1	https://doi.org/10.1016/j.scient.2012.10.021	https://doi.org/10.1016/j.scient.2012.10.021	NOUN
cana-1734	222	1	[	[	X
cana-1734	222	2	4	4	NUM
cana-1734	222	3	]	]	SYM
cana-1734	222	4	kandasamy	kandasamy	NOUN
cana-1734	222	5	,	,	PUNCT
cana-1734	222	6	a.	a.	PROPN
cana-1734	222	7	,	,	PUNCT
cana-1734	222	8	&	&	CCONJ
cana-1734	222	9	pai	pai	PROPN
cana-1734	222	10	,	,	PUNCT
cana-1734	222	11	r.	r.	PROPN
cana-1734	222	12	g.	g.	PROPN
cana-1734	222	13	(	(	PUNCT
cana-1734	222	14	2011	2011	NUM
cana-1734	222	15	)	)	PUNCT
cana-1734	222	16	.	.	PUNCT
cana-1734	223	1	entrance	entrance	NOUN
cana-1734	223	2	region	region	NOUN
cana-1734	223	3	flow	flow	NOUN
cana-1734	223	4	of	of	ADP
cana-1734	223	5	casson	casson	PROPN
cana-1734	223	6	fluid	fluid	NOUN
cana-1734	223	7	in	in	ADP
cana-1734	223	8	a	a	DET
cana-1734	223	9	circular	circular	ADJ
cana-1734	223	10	tube	tube	NOUN
cana-1734	223	11	.	.	PUNCT
cana-1734	224	1	applied	apply	VERB
cana-1734	224	2	mechanics	mechanic	NOUN
cana-1734	224	3	and	and	CCONJ
cana-1734	224	4	materials	material	NOUN
cana-1734	224	5	,	,	PUNCT
cana-1734	224	6	110–116	110–116	NUM
cana-1734	224	7	,	,	PUNCT
cana-1734	224	8	698–706	698–706	NUM
cana-1734	224	9	.	.	PUNCT
cana-1734	224	10	https://doi.org/10.4028/www.scientific.net/amm.110-116.698	https://doi.org/10.4028/www.scientific.net/amm.110-116.698	PROPN
cana-1734	225	1	[	[	X
cana-1734	225	2	5	5	NUM
cana-1734	225	3	]	]	X
cana-1734	225	4	jabbar	jabbar	PROPN
cana-1734	225	5	,	,	PUNCT
cana-1734	225	6	n.	n.	PROPN
cana-1734	225	7	,	,	PUNCT
cana-1734	225	8	hafeez	hafeez	PROPN
cana-1734	225	9	,	,	PUNCT
cana-1734	225	10	m.	m.	PROPN
cana-1734	225	11	b.	b.	PROPN
cana-1734	225	12	,	,	PUNCT
cana-1734	225	13	askar	askar	PROPN
cana-1734	225	14	,	,	PUNCT
cana-1734	225	15	s.	s.	PROPN
cana-1734	225	16	,	,	PUNCT
cana-1734	225	17	&	&	CCONJ
cana-1734	225	18	nazir	nazir	PROPN
cana-1734	225	19	,	,	PUNCT
cana-1734	225	20	u.	u.	PROPN
cana-1734	225	21	(	(	PUNCT
cana-1734	225	22	2021	2021	NUM
cana-1734	225	23	)	)	PUNCT
cana-1734	225	24	.	.	PUNCT
cana-1734	226	1	non	non	ADJ
cana-1734	226	2	-	-	ADJ
cana-1734	226	3	coaxially	coaxially	ADV
cana-1734	226	4	rotating	rotate	VERB
cana-1734	226	5	motion	motion	NOUN
cana-1734	226	6	in	in	ADP
cana-1734	226	7	casson	casson	PROPN
cana-1734	226	8	martial	martial	NOUN
cana-1734	226	9	along	along	ADP
cana-1734	226	10	with	with	ADP
cana-1734	226	11	temperature	temperature	NOUN
cana-1734	226	12	and	and	CCONJ
cana-1734	226	13	concentration	concentration	NOUN
cana-1734	226	14	gradients	gradient	NOUN
cana-1734	226	15	via	via	ADP
cana-1734	226	16	first	first	ADJ
cana-1734	226	17	-	-	PUNCT
cana-1734	226	18	order	order	NOUN
cana-1734	226	19	chemical	chemical	NOUN
cana-1734	226	20	reaction	reaction	NOUN
cana-1734	226	21	.	.	PUNCT
cana-1734	227	1	energies	energy	NOUN
cana-1734	227	2	,	,	PUNCT
cana-1734	227	3	14(22	14(22	NUM
cana-1734	227	4	)	)	PUNCT
cana-1734	227	5	,	,	PUNCT
cana-1734	227	6	7784	7784	NUM
cana-1734	227	7	.	.	PUNCT
cana-1734	228	1	https://doi.org/10.3390/en14227784	https://doi.org/10.3390/en14227784	NOUN
cana-1734	228	2	[	[	X
cana-1734	228	3	6	6	NUM
cana-1734	228	4	]	]	X
cana-1734	228	5	alqarni	alqarni	ADJ
cana-1734	228	6	,	,	PUNCT
cana-1734	228	7	m.	m.	NOUN
cana-1734	228	8	m.	m.	NOUN
cana-1734	228	9	,	,	PUNCT
cana-1734	228	10	bilal	bilal	PROPN
cana-1734	228	11	,	,	PUNCT
cana-1734	228	12	m.	m.	NOUN
cana-1734	228	13	,	,	PUNCT
cana-1734	228	14	allogmany	allogmany	PROPN
cana-1734	228	15	,	,	PUNCT
cana-1734	228	16	r.	r.	PROPN
cana-1734	228	17	,	,	PUNCT
cana-1734	228	18	tag	tag	NOUN
cana-1734	228	19	-	-	PUNCT
cana-1734	228	20	eldin	eldin	NOUN
cana-1734	228	21	,	,	PUNCT
cana-1734	228	22	e.	e.	PROPN
cana-1734	228	23	,	,	PUNCT
cana-1734	228	24	ghoneim	ghoneim	PROPN
cana-1734	228	25	,	,	PUNCT
cana-1734	228	26	m.	m.	PROPN
cana-1734	228	27	e.	e.	PROPN
cana-1734	228	28	,	,	PUNCT
cana-1734	228	29	&	&	CCONJ
cana-1734	228	30	yassen	yassen	PROPN
cana-1734	228	31	,	,	PUNCT
cana-1734	228	32	m.	m.	PROPN
cana-1734	228	33	f.	f.	PROPN
cana-1734	228	34	(	(	PUNCT
cana-1734	228	35	2022	2022	NUM
cana-1734	228	36	)	)	PUNCT
cana-1734	228	37	.	.	PUNCT
cana-1734	229	1	mathematical	mathematical	ADJ
cana-1734	229	2	analysis	analysis	NOUN
cana-1734	229	3	of	of	ADP
cana-1734	229	4	casson	casson	PROPN
cana-1734	229	5	fluid	fluid	NOUN
cana-1734	229	6	flow	flow	NOUN
cana-1734	229	7	with	with	ADP
cana-1734	229	8	energy	energy	NOUN
cana-1734	229	9	and	and	CCONJ
cana-1734	229	10	mass	mass	NOUN
cana-1734	229	11	transfer	transfer	NOUN
cana-1734	229	12	under	under	ADP
cana-1734	229	13	the	the	DET
cana-1734	229	14	influence	influence	NOUN
cana-1734	229	15	of	of	ADP
cana-1734	229	16	activation	activation	NOUN
cana-1734	229	17	energy	energy	NOUN
cana-1734	229	18	from	from	ADP
cana-1734	229	19	a	a	DET
cana-1734	229	20	noncoaxially	noncoaxially	ADV
cana-1734	229	21	spinning	spinning	NOUN
cana-1734	229	22	disc	disc	NOUN
cana-1734	229	23	.	.	PUNCT
cana-1734	230	1	frontiers	frontier	NOUN
cana-1734	230	2	in	in	ADP
cana-1734	230	3	energy	energy	NOUN
cana-1734	230	4	research	research	NOUN
cana-1734	230	5	,	,	PUNCT
cana-1734	230	6	10	10	NUM
cana-1734	230	7	.	.	PUNCT
cana-1734	231	1	https://doi.org/10.3389/fenrg.2022.986284	https://doi.org/10.3389/fenrg.2022.986284	PROPN
cana-1734	232	1	[	[	X
cana-1734	232	2	7	7	NUM
cana-1734	232	3	]	]	X
cana-1734	232	4	von	von	PROPN
cana-1734	232	5	karman	karman	PROPN
cana-1734	232	6	t.	t.	PROPN
cana-1734	232	7	uber	uber	PROPN
cana-1734	232	8	laminar	laminar	ADJ
cana-1734	232	9	and	and	CCONJ
cana-1734	232	10	turbulent	turbulent	ADJ
cana-1734	232	11	reibung	reibung	NOUN
cana-1734	232	12	.	.	PUNCT
cana-1734	233	1	z	z	PROPN
cana-1734	233	2	angew	angew	PROPN
cana-1734	233	3	math	math	PROPN
cana-1734	233	4	mech	mech	PROPN
cana-1734	233	5	1921	1921	NUM
cana-1734	233	6	;	;	PUNCT
cana-1734	233	7	1	1	NUM
cana-1734	233	8	:	:	PUNCT
cana-1734	233	9	233–255	233–255	NUM
cana-1734	233	10	.	.	PUNCT
cana-1734	234	1	https://doi.org/10.1038/183613a0	https://doi.org/10.1038/183613a0	PROPN
cana-1734	234	2	https://doi.org/10.1016/j.scient.2012.10.021	https://doi.org/10.1016/j.scient.2012.10.021	PROPN
cana-1734	234	3	communications	communication	NOUN
cana-1734	234	4	on	on	ADP
cana-1734	234	5	applied	apply	VERB
cana-1734	234	6	nonlinear	nonlinear	ADJ
cana-1734	234	7	analysis	analysis	NOUN
cana-1734	234	8	issn	issn	NOUN
cana-1734	234	9	:	:	PUNCT
cana-1734	234	10	1074	1074	NUM
cana-1734	234	11	-	-	PUNCT
cana-1734	234	12	133x	133x	NUM
cana-1734	234	13	vol	vol	NOUN
cana-1734	234	14	32	32	NUM
cana-1734	234	15	no	no	NOUN
cana-1734	234	16	.	.	NOUN
cana-1734	234	17	2	2	NUM
cana-1734	234	18	(	(	PUNCT
cana-1734	234	19	2025	2025	NUM
cana-1734	234	20	)	)	PUNCT
cana-1734	234	21	186	186	NUM
cana-1734	234	22	https://internationalpubls.com	https://internationalpubls.com	X
cana-1734	235	1	[	[	X
cana-1734	235	2	8	8	NUM
cana-1734	235	3	]	]	X
cana-1734	235	4	cochran	cochran	NOUN
cana-1734	235	5	,	,	PUNCT
cana-1734	235	6	w.	w.	PROPN
cana-1734	235	7	g.	g.	PROPN
cana-1734	235	8	(	(	PUNCT
cana-1734	235	9	1934	1934	NUM
cana-1734	235	10	)	)	PUNCT
cana-1734	235	11	.	.	PUNCT
cana-1734	236	1	the	the	DET
cana-1734	236	2	flow	flow	NOUN
cana-1734	236	3	due	due	ADP
cana-1734	236	4	to	to	ADP
cana-1734	236	5	a	a	DET
cana-1734	236	6	rotating	rotate	VERB
cana-1734	236	7	disc	disc	NOUN
cana-1734	236	8	.	.	PUNCT
cana-1734	237	1	mathematical	mathematical	ADJ
cana-1734	237	2	proceedings	proceeding	NOUN
cana-1734	237	3	of	of	ADP
cana-1734	237	4	the	the	DET
cana-1734	237	5	cambridge	cambridge	PROPN
cana-1734	237	6	philosophical	philosophical	ADJ
cana-1734	237	7	society	society	NOUN
cana-1734	237	8	,	,	PUNCT
cana-1734	237	9	30(3	30(3	NUM
cana-1734	237	10	)	)	PUNCT
cana-1734	237	11	,	,	PUNCT
cana-1734	237	12	365–375	365–375	NUM
cana-1734	237	13	.	.	PUNCT
cana-1734	238	1	https://doi.org/10.1017/s0305004100012561	https://doi.org/10.1017/s0305004100012561	PRON
cana-1734	239	1	[	[	X
cana-1734	239	2	9	9	NUM
cana-1734	239	3	]	]	X
cana-1734	239	4	benton	benton	PROPN
cana-1734	239	5	er	er	INTJ
cana-1734	239	6	.	.	PUNCT
cana-1734	240	1	on	on	ADP
cana-1734	240	2	the	the	DET
cana-1734	240	3	flow	flow	NOUN
cana-1734	240	4	due	due	ADP
cana-1734	240	5	to	to	ADP
cana-1734	240	6	a	a	DET
cana-1734	240	7	rotating	rotate	VERB
cana-1734	240	8	disk	disk	NOUN
cana-1734	240	9	.	.	PUNCT
cana-1734	241	1	j	j	PROPN
cana-1734	241	2	fluid	fluid	ADJ
cana-1734	241	3	mech	mech	NOUN
cana-1734	241	4	1966	1966	NUM
cana-1734	241	5	;	;	PUNCT
cana-1734	241	6	24	24	NUM
cana-1734	241	7	:	:	PUNCT
cana-1734	241	8	781–800	781–800	NUM
cana-1734	241	9	.	.	PUNCT
cana-1734	242	1	[	[	X
cana-1734	242	2	10	10	NUM
cana-1734	242	3	]	]	X
cana-1734	242	4	freidoonimehra	freidoonimehra	NOUN
cana-1734	242	5	,	,	PUNCT
cana-1734	242	6	n.	n.	NOUN
cana-1734	242	7	,	,	PUNCT
cana-1734	242	8	rashidib	rashidib	NOUN
cana-1734	242	9	,	,	PUNCT
cana-1734	242	10	m.	m.	NOUN
cana-1734	242	11	m.	m.	NOUN
cana-1734	242	12	,	,	PUNCT
cana-1734	242	13	khand	khand	PROPN
cana-1734	242	14	,	,	PUNCT
cana-1734	242	15	m.	m.	NOUN
cana-1734	242	16	s.	s.	PROPN
cana-1734	242	17	,	,	PUNCT
cana-1734	242	18	&	&	CCONJ
cana-1734	242	19	ferdowse	ferdowse	PROPN
cana-1734	242	20	,	,	PUNCT
cana-1734	242	21	m.	m.	NOUN
cana-1734	242	22	(	(	PUNCT
cana-1734	242	23	2015	2015	NUM
cana-1734	242	24	)	)	PUNCT
cana-1734	242	25	.	.	PUNCT
cana-1734	243	1	soret	soret	VERB
cana-1734	243	2	and	and	CCONJ
cana-1734	243	3	dufour	dufour	PROPN
cana-1734	243	4	effects	effect	NOUN
cana-1734	243	5	in	in	ADP
cana-1734	243	6	an	an	DET
cana-1734	243	7	mhd	mhd	NOUN
cana-1734	243	8	flow	flow	NOUN
cana-1734	243	9	over	over	ADP
cana-1734	243	10	a	a	DET
cana-1734	243	11	porous	porous	ADJ
cana-1734	243	12	rotating	rotating	NOUN
cana-1734	243	13	disk	disk	NOUN
cana-1734	243	14	using	use	VERB
cana-1734	243	15	ham	ham	NOUN
cana-1734	243	16	.	.	PUNCT
cana-1734	244	1	[	[	X
cana-1734	244	2	11	11	NUM
cana-1734	244	3	]	]	X
cana-1734	244	4	mustafa	mustafa	PROPN
cana-1734	244	5	,	,	PUNCT
cana-1734	244	6	m.	m.	NOUN
cana-1734	244	7	(	(	PUNCT
cana-1734	244	8	2017	2017	NUM
cana-1734	244	9	)	)	PUNCT
cana-1734	244	10	.	.	PUNCT
cana-1734	245	1	mhd	mhd	PROPN
cana-1734	245	2	nanofluid	nanofluid	PROPN
cana-1734	245	3	flow	flow	NOUN
cana-1734	245	4	over	over	ADP
cana-1734	245	5	a	a	DET
cana-1734	245	6	rotating	rotate	VERB
cana-1734	245	7	disk	disk	NOUN
cana-1734	245	8	with	with	ADP
cana-1734	245	9	partial	partial	ADJ
cana-1734	245	10	slip	slip	NOUN
cana-1734	245	11	effects	effect	NOUN
cana-1734	245	12	:	:	PUNCT
cana-1734	245	13	buongiorno	buongiorno	PROPN
cana-1734	245	14	model	model	PROPN
cana-1734	245	15	.	.	PUNCT
cana-1734	246	1	international	international	ADJ
cana-1734	246	2	journal	journal	PROPN
cana-1734	246	3	of	of	ADP
cana-1734	246	4	heat	heat	NOUN
cana-1734	246	5	and	and	CCONJ
cana-1734	246	6	mass	mass	NOUN
cana-1734	246	7	transfer	transfer	NOUN
cana-1734	246	8	,	,	PUNCT
cana-1734	246	9	108	108	NUM
cana-1734	246	10	,	,	PUNCT
cana-1734	246	11	1910–1916	1910–1916	NUM
cana-1734	246	12	.	.	PUNCT
cana-1734	247	1	https://doi.org/10.1016/j.ijheatmasstransfer.2017.01.064	https://doi.org/10.1016/j.ijheatmasstransfer.2017.01.064	VERB
cana-1734	248	1	[	[	X
cana-1734	248	2	12	12	NUM
cana-1734	248	3	]	]	X
cana-1734	248	4	shehzad	shehzad	PROPN
cana-1734	248	5	,	,	PUNCT
cana-1734	248	6	s.	s.	PROPN
cana-1734	248	7	,	,	PUNCT
cana-1734	248	8	abbas	abbas	PROPN
cana-1734	248	9	,	,	PUNCT
cana-1734	248	10	z.	z.	PROPN
cana-1734	248	11	,	,	PUNCT
cana-1734	248	12	rauf	rauf	PROPN
cana-1734	248	13	,	,	PUNCT
cana-1734	248	14	a.	a.	PROPN
cana-1734	248	15	,	,	PUNCT
cana-1734	248	16	&	&	CCONJ
cana-1734	248	17	abdelmalek	abdelmalek	PROPN
cana-1734	248	18	,	,	PUNCT
cana-1734	248	19	z.	z.	PROPN
cana-1734	248	20	(	(	PUNCT
cana-1734	248	21	2021	2021	NUM
cana-1734	248	22	)	)	PUNCT
cana-1734	248	23	.	.	PUNCT
cana-1734	249	1	dynamics	dynamic	NOUN
cana-1734	249	2	of	of	ADP
cana-1734	249	3	fluid	fluid	ADJ
cana-1734	249	4	flow	flow	NOUN
cana-1734	249	5	through	through	ADP
cana-1734	249	6	soret	soret	PROPN
cana-1734	249	7	-	-	PUNCT
cana-1734	249	8	dufour	dufour	PROPN
cana-1734	249	9	impacts	impact	NOUN
cana-1734	249	10	subject	subject	ADJ
cana-1734	249	11	to	to	ADP
cana-1734	249	12	upward	upward	ADJ
cana-1734	249	13	and	and	CCONJ
cana-1734	249	14	downward	downward	ADJ
cana-1734	249	15	motion	motion	NOUN
cana-1734	249	16	of	of	ADP
cana-1734	249	17	rotating	rotate	VERB
cana-1734	249	18	disk	disk	NOUN
cana-1734	249	19	.	.	PUNCT
cana-1734	250	1	international	international	ADJ
cana-1734	250	2	communications	communication	NOUN
cana-1734	250	3	in	in	ADP
cana-1734	250	4	heat	heat	NOUN
cana-1734	250	5	and	and	CCONJ
cana-1734	250	6	mass	mass	NOUN
cana-1734	250	7	transfer	transfer	NOUN
cana-1734	250	8	,	,	PUNCT
cana-1734	250	9	120	120	NUM
cana-1734	250	10	,	,	PUNCT
cana-1734	250	11	105025	105025	NUM
cana-1734	250	12	.	.	PUNCT
cana-1734	251	1	https://doi.org/10.1016/j.icheatmasstransfer.2020.105025	https://doi.org/10.1016/j.icheatmasstransfer.2020.105025	NOUN
cana-1734	251	2	[	[	X
cana-1734	251	3	13	13	NUM
cana-1734	251	4	]	]	X
cana-1734	251	5	kumar	kumar	PROPN
cana-1734	251	6	,	,	PUNCT
cana-1734	251	7	m.	m.	NOUN
cana-1734	251	8	,	,	PUNCT
cana-1734	251	9	&	&	CCONJ
cana-1734	251	10	mondal	mondal	PROPN
cana-1734	251	11	,	,	PUNCT
cana-1734	251	12	p.	p.	PROPN
cana-1734	251	13	k.	k.	PROPN
cana-1734	252	1	(	(	PUNCT
cana-1734	252	2	2022	2022	NUM
cana-1734	252	3	)	)	PUNCT
cana-1734	252	4	.	.	PUNCT
cana-1734	253	1	irreversibility	irreversibility	NOUN
cana-1734	253	2	analysis	analysis	NOUN
cana-1734	253	3	of	of	ADP
cana-1734	253	4	hybrid	hybrid	ADJ
cana-1734	253	5	nanofluid	nanofluid	NOUN
cana-1734	253	6	flow	flow	NOUN
cana-1734	253	7	over	over	ADP
cana-1734	253	8	a	a	DET
cana-1734	253	9	rotating	rotate	VERB
cana-1734	253	10	disk	disk	NOUN
cana-1734	253	11	:	:	PUNCT
cana-1734	253	12	effect	effect	NOUN
cana-1734	253	13	of	of	ADP
cana-1734	253	14	thermal	thermal	ADJ
cana-1734	253	15	radiation	radiation	NOUN
cana-1734	253	16	and	and	CCONJ
cana-1734	253	17	magnetic	magnetic	ADJ
cana-1734	253	18	field	field	NOUN
cana-1734	253	19	.	.	PUNCT
cana-1734	254	1	colloids	colloid	NOUN
cana-1734	254	2	and	and	CCONJ
cana-1734	254	3	surfaces	surface	VERB
cana-1734	254	4	a	a	DET
cana-1734	254	5	physicochemical	physicochemical	ADJ
cana-1734	254	6	and	and	CCONJ
cana-1734	254	7	engineering	engineering	NOUN
cana-1734	254	8	aspects	aspect	NOUN
cana-1734	254	9	,	,	PUNCT
cana-1734	254	10	635	635	NUM
cana-1734	254	11	,	,	PUNCT
cana-1734	254	12	128077	128077	NUM
cana-1734	254	13	.	.	PUNCT
cana-1734	255	1	https://doi.org/10.1016/j.colsurfa.2021.128077	https://doi.org/10.1016/j.colsurfa.2021.128077	PROPN
cana-1734	255	2	[	[	X
cana-1734	255	3	14	14	NUM
cana-1734	255	4	]	]	X
cana-1734	255	5	ali	ali	PROPN
cana-1734	255	6	,	,	PUNCT
cana-1734	255	7	i.	i.	PROPN
cana-1734	255	8	,	,	PUNCT
cana-1734	255	9	gul	gul	PROPN
cana-1734	255	10	,	,	PUNCT
cana-1734	255	11	t.	t.	PROPN
cana-1734	255	12	,	,	PUNCT
cana-1734	255	13	&	&	CCONJ
cana-1734	255	14	khan	khan	PROPN
cana-1734	255	15	,	,	PUNCT
cana-1734	255	16	a.	a.	NOUN
cana-1734	255	17	(	(	PUNCT
cana-1734	255	18	2023	2023	NUM
cana-1734	255	19	)	)	PUNCT
cana-1734	255	20	.	.	PUNCT
cana-1734	256	1	unsteady	unsteady	ADJ
cana-1734	256	2	hydromagnetic	hydromagnetic	ADJ
cana-1734	256	3	flow	flow	NOUN
cana-1734	256	4	over	over	ADP
cana-1734	256	5	an	an	DET
cana-1734	256	6	inclined	inclined	ADJ
cana-1734	256	7	rotating	rotating	NOUN
cana-1734	256	8	disk	disk	NOUN
cana-1734	256	9	through	through	ADP
cana-1734	256	10	neural	neural	ADJ
cana-1734	256	11	networking	network	VERB
cana-1734	256	12	approach	approach	NOUN
cana-1734	256	13	.	.	PUNCT
cana-1734	257	1	mathematics	mathematic	NOUN
cana-1734	257	2	,	,	PUNCT
cana-1734	257	3	11(8	11(8	NUM
cana-1734	257	4	)	)	PUNCT
cana-1734	257	5	,	,	PUNCT
cana-1734	257	6	1893	1893	NUM
cana-1734	257	7	.	.	PUNCT
cana-1734	258	1	https://doi.org/10.3390/math11081893	https://doi.org/10.3390/math11081893	NOUN
cana-1734	258	2	[	[	X
cana-1734	258	3	15	15	NUM
cana-1734	258	4	]	]	PUNCT
cana-1734	258	5	shenoy	shenoy	NOUN
cana-1734	258	6	,	,	PUNCT
cana-1734	258	7	a.	a.	PROPN
cana-1734	258	8	v.	v.	PROPN
cana-1734	258	9	(	(	PUNCT
cana-1734	258	10	1993	1993	NUM
cana-1734	258	11	)	)	PUNCT
cana-1734	258	12	.	.	PUNCT
cana-1734	259	1	darcy	darcy	PROPN
cana-1734	259	2	-	-	PUNCT
cana-1734	259	3	forchheimer	forchheimer	PROPN
cana-1734	259	4	natural	natural	ADJ
cana-1734	259	5	,	,	PUNCT
cana-1734	259	6	forced	force	VERB
cana-1734	259	7	and	and	CCONJ
cana-1734	259	8	mixed	mixed	ADJ
cana-1734	259	9	convection	convection	NOUN
cana-1734	259	10	heat	heat	NOUN
cana-1734	259	11	transfer	transfer	NOUN
cana-1734	259	12	in	in	ADP
cana-1734	259	13	non	non	ADJ
cana-1734	259	14	-	-	ADJ
cana-1734	259	15	newtonian	newtonian	ADJ
cana-1734	259	16	power	power	NOUN
cana-1734	259	17	-	-	PUNCT
cana-1734	259	18	law	law	NOUN
cana-1734	259	19	fluid	fluid	NOUN
cana-1734	259	20	-	-	PUNCT
cana-1734	259	21	saturated	saturate	VERB
cana-1734	259	22	porous	porous	ADJ
cana-1734	259	23	media	medium	NOUN
cana-1734	259	24	.	.	PUNCT
cana-1734	260	1	transport	transport	NOUN
cana-1734	260	2	in	in	ADP
cana-1734	260	3	porous	porous	ADJ
cana-1734	260	4	media	medium	NOUN
cana-1734	260	5	,	,	PUNCT
cana-1734	260	6	11(3	11(3	NUM
cana-1734	260	7	)	)	PUNCT
cana-1734	260	8	,	,	PUNCT
cana-1734	260	9	219–241	219–241	NUM
cana-1734	260	10	.	.	PUNCT
cana-1734	261	1	https://doi.org/10.1007/bf00614813	https://doi.org/10.1007/bf00614813	PRON
cana-1734	261	2	[	[	X
cana-1734	261	3	16	16	NUM
cana-1734	261	4	]	]	X
cana-1734	261	5	sadiq	sadiq	PROPN
cana-1734	261	6	,	,	PUNCT
cana-1734	261	7	m.	m.	NOUN
cana-1734	261	8	a.	a.	PROPN
cana-1734	261	9	,	,	PUNCT
cana-1734	261	10	&	&	CCONJ
cana-1734	261	11	hayat	hayat	PROPN
cana-1734	261	12	,	,	PUNCT
cana-1734	261	13	t.	t.	PROPN
cana-1734	261	14	(	(	PUNCT
cana-1734	261	15	2016	2016	NUM
cana-1734	261	16	)	)	PUNCT
cana-1734	261	17	.	.	PUNCT
cana-1734	262	1	darcy	darcy	PROPN
cana-1734	262	2	–	–	PUNCT
cana-1734	262	3	forchheimer	forchheimer	ADJ
cana-1734	262	4	flow	flow	NOUN
cana-1734	262	5	of	of	ADP
cana-1734	262	6	magneto	magneto	PROPN
cana-1734	262	7	maxwell	maxwell	PROPN
cana-1734	262	8	liquid	liquid	PROPN
cana-1734	262	9	bounded	bound	VERB
cana-1734	262	10	by	by	ADP
cana-1734	262	11	convectively	convectively	ADV
cana-1734	262	12	heated	heat	VERB
cana-1734	262	13	sheet	sheet	NOUN
cana-1734	262	14	.	.	PUNCT
cana-1734	263	1	results	result	NOUN
cana-1734	263	2	in	in	ADP
cana-1734	263	3	physics	physics	NOUN
cana-1734	263	4	,	,	PUNCT
cana-1734	263	5	6	6	NUM
cana-1734	263	6	,	,	PUNCT
cana-1734	263	7	884–890	884–890	NUM
cana-1734	263	8	.	.	PUNCT
cana-1734	264	1	https://doi.org/10.1016/j.rinp.2016.10.019	https://doi.org/10.1016/j.rinp.2016.10.019	PUNCT
cana-1734	264	2	[	[	X
cana-1734	264	3	17	17	NUM
cana-1734	264	4	]	]	X
cana-1734	264	5	ganesh	ganesh	NOUN
cana-1734	264	6	,	,	PUNCT
cana-1734	264	7	n.	n.	PROPN
cana-1734	264	8	v.	v.	PROPN
cana-1734	264	9	,	,	PUNCT
cana-1734	264	10	hakeem	hakeem	PROPN
cana-1734	264	11	,	,	PUNCT
cana-1734	264	12	a.	a.	NOUN
cana-1734	264	13	a.	a.	PROPN
cana-1734	264	14	,	,	PUNCT
cana-1734	264	15	&	&	CCONJ
cana-1734	264	16	ganga	ganga	PROPN
cana-1734	264	17	,	,	PUNCT
cana-1734	264	18	b.	b.	PROPN
cana-1734	264	19	(	(	PUNCT
cana-1734	264	20	2018	2018	NUM
cana-1734	264	21	)	)	PUNCT
cana-1734	264	22	.	.	PUNCT
cana-1734	265	1	darcy	darcy	PROPN
cana-1734	265	2	–	–	PUNCT
cana-1734	265	3	forchheimer	forchheimer	ADJ
cana-1734	265	4	flow	flow	NOUN
cana-1734	265	5	of	of	ADP
cana-1734	265	6	hydromagnetic	hydromagnetic	ADJ
cana-1734	265	7	nanofluid	nanofluid	NOUN
cana-1734	265	8	over	over	ADP
cana-1734	265	9	a	a	DET
cana-1734	265	10	stretching	stretch	VERB
cana-1734	265	11	/	/	SYM
cana-1734	265	12	shrinking	shrink	VERB
cana-1734	265	13	sheet	sheet	NOUN
cana-1734	265	14	in	in	ADP
cana-1734	265	15	a	a	DET
cana-1734	265	16	thermally	thermally	ADV
cana-1734	265	17	stratified	stratified	ADJ
cana-1734	265	18	porous	porous	ADJ
cana-1734	265	19	medium	medium	NOUN
cana-1734	265	20	with	with	ADP
cana-1734	265	21	second	second	ADJ
cana-1734	265	22	order	order	NOUN
cana-1734	265	23	slip	slip	NOUN
cana-1734	265	24	,	,	PUNCT
cana-1734	265	25	viscous	viscous	ADJ
cana-1734	265	26	and	and	CCONJ
cana-1734	265	27	ohmic	ohmic	ADJ
cana-1734	265	28	dissipations	dissipation	NOUN
cana-1734	265	29	effects	effect	NOUN
cana-1734	265	30	.	.	PUNCT
cana-1734	266	1	ain	ain	PROPN
cana-1734	266	2	shams	sham	VERB
cana-1734	266	3	engineering	engineering	NOUN
cana-1734	266	4	journal	journal	NOUN
cana-1734	266	5	,	,	PUNCT
cana-1734	266	6	9(4	9(4	NUM
cana-1734	266	7	)	)	PUNCT
cana-1734	266	8	,	,	PUNCT
cana-1734	266	9	939–951	939–951	NUM
cana-1734	266	10	.	.	PUNCT
cana-1734	267	1	https://doi.org/10.1016/j.asej.2016.04.019	https://doi.org/10.1016/j.asej.2016.04.019	PROPN
cana-1734	267	2	[	[	X
cana-1734	267	3	18	18	NUM
cana-1734	267	4	]	]	X
cana-1734	267	5	sadiq	sadiq	PROPN
cana-1734	267	6	,	,	PUNCT
cana-1734	267	7	m.	m.	NOUN
cana-1734	267	8	,	,	PUNCT
cana-1734	267	9	waqas	waqas	ADJ
cana-1734	267	10	,	,	PUNCT
cana-1734	267	11	m.	m.	NOUN
cana-1734	267	12	,	,	PUNCT
cana-1734	267	13	&	&	CCONJ
cana-1734	267	14	hayat	hayat	PROPN
cana-1734	267	15	,	,	PUNCT
cana-1734	267	16	t.	t.	PROPN
cana-1734	267	17	(	(	PUNCT
cana-1734	267	18	2017	2017	NUM
cana-1734	267	19	)	)	PUNCT
cana-1734	267	20	.	.	PUNCT
cana-1734	268	1	importance	importance	NOUN
cana-1734	268	2	of	of	ADP
cana-1734	268	3	darcy	darcy	PROPN
cana-1734	268	4	-	-	PUNCT
cana-1734	268	5	forchheimer	forchheimer	PROPN
cana-1734	268	6	relation	relation	NOUN
cana-1734	268	7	in	in	ADP
cana-1734	268	8	chemically	chemically	ADV
cana-1734	268	9	reactive	reactive	ADJ
cana-1734	268	10	radiating	radiating	NOUN
cana-1734	268	11	flow	flow	NOUN
cana-1734	268	12	towards	towards	ADP
cana-1734	268	13	convectively	convectively	ADV
cana-1734	268	14	heated	heat	VERB
cana-1734	268	15	surface	surface	NOUN
cana-1734	268	16	.	.	PUNCT
cana-1734	269	1	journal	journal	NOUN
cana-1734	269	2	of	of	ADP
cana-1734	269	3	molecular	molecular	ADJ
cana-1734	269	4	liquids	liquid	NOUN
cana-1734	269	5	,	,	PUNCT
cana-1734	269	6	248	248	NUM
cana-1734	269	7	,	,	PUNCT
cana-1734	269	8	1071–1077	1071–1077	NUM
cana-1734	269	9	.	.	PUNCT
cana-1734	270	1	https://doi.org/10.1016/j.molliq.2017.10.063	https://doi.org/10.1016/j.molliq.2017.10.063	NUM
cana-1734	270	2	[	[	X
cana-1734	270	3	19	19	NUM
cana-1734	270	4	]	]	X
cana-1734	270	5	khan	khan	PROPN
cana-1734	270	6	,	,	PUNCT
cana-1734	270	7	m.	m.	NOUN
cana-1734	270	8	i.	i.	PROPN
cana-1734	270	9	,	,	PUNCT
cana-1734	270	10	alzahrani	alzahrani	PROPN
cana-1734	270	11	,	,	PUNCT
cana-1734	270	12	f.	f.	PROPN
cana-1734	270	13	,	,	PUNCT
cana-1734	270	14	hobiny	hobiny	PROPN
cana-1734	270	15	,	,	PUNCT
cana-1734	270	16	a.	a.	PROPN
cana-1734	270	17	,	,	PUNCT
cana-1734	270	18	&	&	CCONJ
cana-1734	270	19	ali	ali	PROPN
cana-1734	270	20	,	,	PUNCT
cana-1734	270	21	z.	z.	PROPN
cana-1734	270	22	(	(	PUNCT
cana-1734	270	23	2020	2020	NUM
cana-1734	270	24	)	)	PUNCT
cana-1734	270	25	.	.	PUNCT
cana-1734	271	1	estimation	estimation	NOUN
cana-1734	271	2	of	of	ADP
cana-1734	271	3	entropy	entropy	PROPN
cana-1734	271	4	optimization	optimization	NOUN
cana-1734	271	5	in	in	ADP
cana-1734	271	6	darcy	darcy	PROPN
cana-1734	271	7	-	-	PUNCT
cana-1734	271	8	forchheimer	forchheimer	PROPN
cana-1734	271	9	flow	flow	NOUN
cana-1734	271	10	of	of	ADP
cana-1734	271	11	carreau	carreau	PROPN
cana-1734	271	12	-	-	PUNCT
cana-1734	271	13	yasuda	yasuda	PROPN
cana-1734	271	14	fluid	fluid	NOUN
cana-1734	271	15	(	(	PUNCT
cana-1734	271	16	non	non	ADJ
cana-1734	271	17	-	-	ADJ
cana-1734	271	18	newtonian	newtonian	ADJ
cana-1734	271	19	)	)	PUNCT
cana-1734	271	20	with	with	ADP
cana-1734	271	21	first	first	ADJ
cana-1734	271	22	order	order	NOUN
cana-1734	271	23	velocity	velocity	NOUN
cana-1734	271	24	slip	slip	NOUN
cana-1734	271	25	.	.	PUNCT
cana-1734	272	1	alexandria	alexandria	PROPN
cana-1734	272	2	engineering	engineering	PROPN
cana-1734	272	3	journal	journal	PROPN
cana-1734	272	4	,	,	PUNCT
cana-1734	272	5	59(5	59(5	NUM
cana-1734	272	6	)	)	PUNCT
cana-1734	272	7	,	,	PUNCT
cana-1734	272	8	3953–3962	3953–3962	NUM
cana-1734	272	9	.	.	PUNCT
cana-1734	273	1	https://doi.org/10.1016/j.aej.2020.06.057	https://doi.org/10.1016/j.aej.2020.06.057	VERB
cana-1734	273	2	[	[	X
cana-1734	273	3	20	20	NUM
cana-1734	273	4	]	]	SYM
cana-1734	273	5	rasool	rasool	PROPN
cana-1734	273	6	,	,	PUNCT
cana-1734	273	7	g.	g.	PROPN
cana-1734	273	8	,	,	PUNCT
cana-1734	273	9	shafiq	shafiq	PROPN
cana-1734	273	10	,	,	PUNCT
cana-1734	273	11	a.	a.	PROPN
cana-1734	273	12	,	,	PUNCT
cana-1734	273	13	wang	wang	PROPN
cana-1734	273	14	,	,	PUNCT
cana-1734	273	15	x.	x.	PROPN
cana-1734	273	16	,	,	PUNCT
cana-1734	273	17	chamkha	chamkha	ADJ
cana-1734	273	18	,	,	PUNCT
cana-1734	273	19	a.	a.	PROPN
cana-1734	273	20	j.	j.	PROPN
cana-1734	273	21	,	,	PUNCT
cana-1734	273	22	&	&	CCONJ
cana-1734	273	23	wakif	wakif	PROPN
cana-1734	273	24	,	,	PUNCT
cana-1734	273	25	a.	a.	NOUN
cana-1734	273	26	(	(	PUNCT
cana-1734	273	27	2023	2023	NUM
cana-1734	273	28	)	)	PUNCT
cana-1734	273	29	.	.	PUNCT
cana-1734	274	1	numerical	numerical	ADJ
cana-1734	274	2	treatment	treatment	NOUN
cana-1734	274	3	of	of	ADP
cana-1734	274	4	mhd	mhd	PROPN
cana-1734	274	5	al2o3	al2o3	PROPN
cana-1734	274	6	–	–	PUNCT
cana-1734	274	7	cu	cu	PROPN
cana-1734	274	8	/	/	SYM
cana-1734	274	9	engine	engine	NOUN
cana-1734	274	10	oil	oil	NOUN
cana-1734	274	11	-	-	PUNCT
cana-1734	274	12	based	base	VERB
cana-1734	274	13	nanofluid	nanofluid	ADJ
cana-1734	274	14	flow	flow	NOUN
cana-1734	274	15	in	in	ADP
cana-1734	274	16	a	a	DET
cana-1734	274	17	darcy	darcy	NOUN
cana-1734	274	18	–	–	PUNCT
cana-1734	274	19	forchheimer	forchheimer	ADJ
cana-1734	274	20	medium	medium	ADJ
cana-1734	274	21	:	:	PUNCT
cana-1734	274	22	application	application	NOUN
cana-1734	274	23	of	of	ADP
cana-1734	274	24	radiative	radiative	ADJ
cana-1734	274	25	heat	heat	NOUN
cana-1734	274	26	and	and	CCONJ
cana-1734	274	27	mass	mass	NOUN
cana-1734	274	28	transfer	transfer	NOUN
cana-1734	274	29	laws	law	NOUN
cana-1734	274	30	.	.	PUNCT
cana-1734	275	1	international	international	ADJ
cana-1734	275	2	journal	journal	NOUN
cana-1734	275	3	of	of	ADP
cana-1734	275	4	modern	modern	ADJ
cana-1734	275	5	physics	physics	PROPN
cana-1734	275	6	b.	b.	PROPN
cana-1734	275	7	https://doi.org/10.1142/s0217979224501297	https://doi.org/10.1142/s0217979224501297	PROPN
cana-1734	276	1	[	[	X
cana-1734	276	2	21	21	NUM
cana-1734	276	3	]	]	X
cana-1734	276	4	nayak	nayak	PROPN
cana-1734	276	5	,	,	PUNCT
cana-1734	276	6	m.	m.	NOUN
cana-1734	276	7	,	,	PUNCT
cana-1734	276	8	shaw	shaw	PROPN
cana-1734	276	9	,	,	PUNCT
cana-1734	276	10	s.	s.	PROPN
cana-1734	276	11	,	,	PUNCT
cana-1734	276	12	khan	khan	PROPN
cana-1734	276	13	,	,	PUNCT
cana-1734	276	14	m.	m.	NOUN
cana-1734	276	15	i.	i.	PROPN
cana-1734	276	16	,	,	PUNCT
cana-1734	276	17	pandey	pandey	PROPN
cana-1734	276	18	,	,	PUNCT
cana-1734	276	19	v.	v.	PROPN
cana-1734	276	20	,	,	PUNCT
cana-1734	276	21	&	&	CCONJ
cana-1734	276	22	nazeer	nazeer	PROPN
cana-1734	276	23	,	,	PUNCT
cana-1734	276	24	m.	m.	NOUN
cana-1734	276	25	(	(	PUNCT
cana-1734	276	26	2020	2020	NUM
cana-1734	276	27	)	)	PUNCT
cana-1734	276	28	.	.	PUNCT
cana-1734	277	1	flow	flow	NOUN
cana-1734	277	2	and	and	CCONJ
cana-1734	277	3	thermal	thermal	ADJ
cana-1734	277	4	analysis	analysis	NOUN
cana-1734	277	5	on	on	ADP
cana-1734	277	6	darcyforchheimer	darcyforchheimer	ADJ
cana-1734	277	7	flow	flow	NOUN
cana-1734	277	8	of	of	ADP
cana-1734	277	9	copper	copper	NOUN
cana-1734	277	10	-	-	PUNCT
cana-1734	277	11	water	water	NOUN
cana-1734	277	12	nanofluid	nanofluid	NOUN
cana-1734	277	13	due	due	ADP
cana-1734	277	14	to	to	ADP
cana-1734	277	15	a	a	DET
cana-1734	277	16	rotating	rotate	VERB
cana-1734	277	17	disk	disk	NOUN
cana-1734	277	18	:	:	PUNCT
cana-1734	277	19	a	a	DET
cana-1734	277	20	static	static	ADJ
cana-1734	277	21	and	and	CCONJ
cana-1734	277	22	dynamic	dynamic	ADJ
cana-1734	277	23	approach	approach	NOUN
cana-1734	277	24	.	.	PUNCT
cana-1734	278	1	journal	journal	NOUN
cana-1734	278	2	of	of	ADP
cana-1734	278	3	materials	material	NOUN
cana-1734	278	4	research	research	NOUN
cana-1734	278	5	and	and	CCONJ
cana-1734	278	6	technology	technology	NOUN
cana-1734	278	7	,	,	PUNCT
cana-1734	278	8	9(4	9(4	NUM
cana-1734	278	9	)	)	PUNCT
cana-1734	278	10	,	,	PUNCT
cana-1734	278	11	7387–7408	7387–7408	NUM
cana-1734	278	12	.	.	PUNCT
cana-1734	279	1	https://doi.org/10.1016/j.jmrt.2020.04.074	https://doi.org/10.1016/j.jmrt.2020.04.074	PRON
cana-1734	280	1	[	[	X
cana-1734	280	2	22	22	NUM
cana-1734	280	3	]	]	X
cana-1734	280	4	waqas	waqas	PROPN
cana-1734	280	5	,	,	PUNCT
cana-1734	280	6	h.	h.	PROPN
cana-1734	280	7	,	,	PUNCT
cana-1734	280	8	naseem	naseem	PROPN
cana-1734	280	9	,	,	PUNCT
cana-1734	280	10	r.	r.	PROPN
cana-1734	280	11	,	,	PUNCT
cana-1734	280	12	muhammad	muhammad	PROPN
cana-1734	280	13	,	,	PUNCT
cana-1734	280	14	t.	t.	PROPN
cana-1734	280	15	,	,	PUNCT
cana-1734	280	16	&	&	CCONJ
cana-1734	280	17	farooq	farooq	PROPN
cana-1734	280	18	,	,	PUNCT
cana-1734	280	19	u.	u.	PROPN
cana-1734	280	20	(	(	PUNCT
cana-1734	280	21	2021	2021	NUM
cana-1734	280	22	)	)	PUNCT
cana-1734	280	23	.	.	PUNCT
cana-1734	281	1	bioconvection	bioconvection	NOUN
cana-1734	281	2	flow	flow	NOUN
cana-1734	281	3	of	of	ADP
cana-1734	281	4	casson	casson	PROPN
cana-1734	281	5	nanofluid	nanofluid	PROPN
cana-1734	281	6	by	by	ADP
cana-1734	281	7	rotating	rotate	VERB
cana-1734	281	8	disk	disk	NOUN
cana-1734	281	9	with	with	ADP
cana-1734	281	10	motile	motile	ADJ
cana-1734	281	11	microorganisms	microorganism	NOUN
cana-1734	281	12	.	.	PUNCT
cana-1734	282	1	journal	journal	NOUN
cana-1734	282	2	of	of	ADP
cana-1734	282	3	materials	material	NOUN
cana-1734	282	4	research	research	NOUN
cana-1734	282	5	and	and	CCONJ
cana-1734	282	6	technology	technology	NOUN
cana-1734	282	7	,	,	PUNCT
cana-1734	282	8	13	13	NUM
cana-1734	282	9	,	,	PUNCT
cana-1734	282	10	2392–2407	2392–2407	NUM
cana-1734	282	11	.	.	PUNCT
cana-1734	283	1	https://doi.org/10.1016/j.jmrt.2021.05.092	https://doi.org/10.1016/j.jmrt.2021.05.092	NOUN
cana-1734	283	2	[	[	X
cana-1734	283	3	23	23	NUM
cana-1734	283	4	]	]	X
cana-1734	283	5	lv	lv	PROPN
cana-1734	283	6	,	,	PUNCT
cana-1734	283	7	y.	y.	PROPN
cana-1734	283	8	p.	p.	PROPN
cana-1734	283	9	,	,	PUNCT
cana-1734	283	10	gul	gul	PROPN
cana-1734	283	11	,	,	PUNCT
cana-1734	283	12	h.	h.	PROPN
cana-1734	283	13	,	,	PUNCT
cana-1734	283	14	ramzan	ramzan	PROPN
cana-1734	283	15	,	,	PUNCT
cana-1734	283	16	m.	m.	NOUN
cana-1734	283	17	,	,	PUNCT
cana-1734	283	18	chung	chung	PROPN
cana-1734	283	19	,	,	PUNCT
cana-1734	283	20	j.	j.	PROPN
cana-1734	283	21	d.	d.	PROPN
cana-1734	283	22	,	,	PUNCT
cana-1734	283	23	&	&	CCONJ
cana-1734	283	24	bilal	bilal	PROPN
cana-1734	283	25	,	,	PUNCT
cana-1734	283	26	m.	m.	NOUN
cana-1734	283	27	(	(	PUNCT
cana-1734	283	28	2021	2021	NUM
cana-1734	283	29	)	)	PUNCT
cana-1734	283	30	.	.	PUNCT
cana-1734	284	1	bioconvective	bioconvective	ADJ
cana-1734	284	2	reiner	reiner	PROPN
cana-1734	284	3	–	–	PUNCT
cana-1734	284	4	rivlin	rivlin	PROPN
cana-1734	284	5	nanofluid	nanofluid	PROPN
cana-1734	284	6	flow	flow	NOUN
cana-1734	284	7	over	over	ADP
cana-1734	284	8	a	a	DET
cana-1734	284	9	rotating	rotate	VERB
cana-1734	284	10	disk	disk	NOUN
cana-1734	284	11	with	with	ADP
cana-1734	284	12	cattaneo	cattaneo	NOUN
cana-1734	284	13	–	–	PUNCT
cana-1734	284	14	christov	christov	NOUN
cana-1734	284	15	flow	flow	NOUN
cana-1734	284	16	heat	heat	NOUN
cana-1734	284	17	flux	flux	NOUN
cana-1734	284	18	and	and	CCONJ
cana-1734	284	19	entropy	entropy	NOUN
cana-1734	284	20	generation	generation	NOUN
cana-1734	284	21	analysis	analysis	NOUN
cana-1734	284	22	.	.	PUNCT
cana-1734	285	1	scientific	scientific	ADJ
cana-1734	285	2	reports	report	NOUN
cana-1734	285	3	,	,	PUNCT
cana-1734	285	4	11(1	11(1	NUM
cana-1734	285	5	)	)	PUNCT
cana-1734	285	6	.	.	PUNCT
cana-1734	286	1	https://doi.org/10.1038/s41598-021-95448-y	https://doi.org/10.1038/s41598-021-95448-y	PROPN
cana-1734	286	2	https://doi.org/10.1017/s0305004100012561	https://doi.org/10.1017/s0305004100012561	PROPN
cana-1734	286	3	https://doi.org/10.3390/math11081893	https://doi.org/10.3390/math11081893	VERB
cana-1734	286	4	https://doi.org/10.1016/j.rinp.2016.10.019	https://doi.org/10.1016/j.rinp.2016.10.019	NUM
cana-1734	286	5	https://doi.org/10.1142/s0217979224501297	https://doi.org/10.1142/s0217979224501297	PROPN
cana-1734	286	6	https://doi.org/10.1016/j.jmrt.2020.04.074	https://doi.org/10.1016/j.jmrt.2020.04.074	PROPN
cana-1734	286	7	https://doi.org/10.1016/j.jmrt.2021.05.092	https://doi.org/10.1016/j.jmrt.2021.05.092	NOUN