id	sid	tid	token	lemma	pos
cana-1657	1	1	communications	communication	NOUN
cana-1657	1	2	on	on	ADP
cana-1657	1	3	applied	apply	VERB
cana-1657	1	4	nonlinear	nonlinear	ADJ
cana-1657	1	5	analysis	analysis	NOUN
cana-1657	1	6	issn	issn	NOUN
cana-1657	1	7	:	:	PUNCT
cana-1657	1	8	1074	1074	NUM
cana-1657	1	9	-	-	PUNCT
cana-1657	1	10	133x	133x	NUM
cana-1657	1	11	vol	vol	NOUN
cana-1657	1	12	32	32	NUM
cana-1657	1	13	no	no	NOUN
cana-1657	1	14	.	.	NOUN
cana-1657	1	15	1	1	NUM
cana-1657	1	16	(	(	PUNCT
cana-1657	1	17	2025	2025	NUM
cana-1657	1	18	)	)	PUNCT
cana-1657	1	19	360	360	NUM
cana-1657	1	20	https://internationalpubls.com	https://internationalpubls.com	PROPN
cana-1657	1	21	numerical	numerical	ADJ
cana-1657	1	22	study	study	NOUN
cana-1657	1	23	of	of	ADP
cana-1657	1	24	the	the	DET
cana-1657	1	25	3d	3d	PROPN
cana-1657	1	26	mhd	mhd	NOUN
cana-1657	1	27	radiative	radiative	ADJ
cana-1657	1	28	flow	flow	NOUN
cana-1657	1	29	of	of	ADP
cana-1657	1	30	williamson	williamson	PROPN
cana-1657	1	31	nanofluid	nanofluid	PROPN
cana-1657	1	32	with	with	ADP
cana-1657	1	33	variable	variable	ADJ
cana-1657	1	34	characteristics	characteristic	NOUN
cana-1657	1	35	over	over	ADP
cana-1657	1	36	a	a	DET
cana-1657	1	37	double	double	ADJ
cana-1657	1	38	stretching	stretching	NOUN
cana-1657	1	39	sheet	sheet	NOUN
cana-1657	1	40	boreddy	boreddy	PROPN
cana-1657	1	41	mahendar	mahendar	PROPN
cana-1657	1	42	reddy1	reddy1	PROPN
cana-1657	1	43	,	,	PUNCT
cana-1657	1	44	mattipelli	mattipelli	PROPN
cana-1657	1	45	ramachandru2	ramachandru2	PROPN
cana-1657	1	46	*	*	PROPN
cana-1657	1	47	,	,	PUNCT
cana-1657	1	48	kambampati	kambampati	PROPN
cana-1657	1	49	satyanarayana3	satyanarayana3	PROPN
cana-1657	1	50	,	,	PUNCT
cana-1657	1	51	naikoti	naikoti	PROPN
cana-1657	1	52	kishan4	kishan4	PROPN
cana-1657	1	53	1	1	NUM
cana-1657	1	54	,	,	PUNCT
cana-1657	1	55	3	3	NUM
cana-1657	1	56	,	,	PUNCT
cana-1657	1	57	4	4	NUM
cana-1657	1	58	department	department	NOUN
cana-1657	1	59	of	of	ADP
cana-1657	1	60	mathematics	mathematics	PROPN
cana-1657	1	61	,	,	PUNCT
cana-1657	1	62	ucs	ucs	PROPN
cana-1657	1	63	,	,	PUNCT
cana-1657	1	64	osmania	osmania	PROPN
cana-1657	1	65	university	university	PROPN
cana-1657	1	66	,	,	PUNCT
cana-1657	1	67	hyderabad	hyderabad	PROPN
cana-1657	1	68	,	,	PUNCT
cana-1657	1	69	telangana	telangana	PROPN
cana-1657	1	70	,	,	PUNCT
cana-1657	1	71	india-500007	india-500007	ADJ
cana-1657	1	72	2	2	NUM
cana-1657	1	73	*	*	SYM
cana-1657	1	74	department	department	NOUN
cana-1657	1	75	of	of	ADP
cana-1657	1	76	humanities	humanity	NOUN
cana-1657	1	77	and	and	CCONJ
cana-1657	1	78	science	science	NOUN
cana-1657	1	79	,	,	PUNCT
cana-1657	1	80	ucet	ucet	PROPN
cana-1657	1	81	,	,	PUNCT
cana-1657	1	82	mahatma	mahatma	PROPN
cana-1657	1	83	gandhi	gandhi	PROPN
cana-1657	1	84	university	university	PROPN
cana-1657	1	85	,	,	PUNCT
cana-1657	1	86	telangana	telangana	PROPN
cana-1657	1	87	,	,	PUNCT
cana-1657	1	88	india-508254	india-508254	ADJ
cana-1657	1	89	,	,	PUNCT
cana-1657	1	90	1reddym195@gmail.com	1reddym195@gmail.com	NUM
cana-1657	1	91	,	,	PUNCT
cana-1657	1	92	2*ramanmaths7@gmail.com	2*ramanmaths7@gmail.com	NUM
cana-1657	1	93	,	,	PUNCT
cana-1657	1	94	3satyamaths123@gmail.com	3satyamaths123@gmail.com	NUM
cana-1657	1	95	,	,	PUNCT
cana-1657	1	96	4kishan.naikoti@gmail.com	4kishan.naikoti@gmail.com	NUM
cana-1657	1	97	*	*	PUNCT
cana-1657	1	98	corresponding	correspond	VERB
cana-1657	1	99	author	author	NOUN
cana-1657	1	100	:	:	PUNCT
cana-1657	1	101	email	email	NOUN
cana-1657	1	102	:	:	PUNCT
cana-1657	1	103	ramanmaths7@gmail.com	ramanmaths7@gmail.com	X
cana-1657	1	104	article	article	NOUN
cana-1657	1	105	history	history	NOUN
cana-1657	1	106	:	:	PUNCT
cana-1657	1	107	received	receive	VERB
cana-1657	1	108	:	:	PUNCT
cana-1657	1	109	17	17	NUM
cana-1657	1	110	-	-	SYM
cana-1657	1	111	07	07	NUM
cana-1657	1	112	-	-	PUNCT
cana-1657	1	113	2024	2024	NUM
cana-1657	1	114	revised	revise	VERB
cana-1657	1	115	:	:	PUNCT
cana-1657	1	116	30	30	NUM
cana-1657	1	117	-	-	SYM
cana-1657	1	118	08	08	NUM
cana-1657	1	119	-	-	PUNCT
cana-1657	1	120	2024	2024	NUM
cana-1657	1	121	accepted	accept	VERB
cana-1657	1	122	:	:	PUNCT
cana-1657	1	123	12	12	NUM
cana-1657	1	124	-	-	SYM
cana-1657	1	125	09	09	NUM
cana-1657	1	126	-	-	PUNCT
cana-1657	1	127	2024	2024	NUM
cana-1657	1	128	abstract	abstract	NOUN
cana-1657	1	129	:	:	PUNCT
cana-1657	1	130	the	the	DET
cana-1657	1	131	current	current	ADJ
cana-1657	1	132	study	study	NOUN
cana-1657	1	133	investigates	investigate	VERB
cana-1657	1	134	the	the	DET
cana-1657	1	135	influence	influence	NOUN
cana-1657	1	136	of	of	ADP
cana-1657	1	137	variable	variable	ADJ
cana-1657	1	138	thermal	thermal	ADJ
cana-1657	1	139	conductivity	conductivity	NOUN
cana-1657	1	140	and	and	CCONJ
cana-1657	1	141	mass	mass	NOUN
cana-1657	1	142	conductivity	conductivity	NOUN
cana-1657	1	143	on	on	ADP
cana-1657	1	144	3d	3d	PROPN
cana-1657	1	145	mhd	mhd	NOUN
cana-1657	1	146	.	.	PUNCT
cana-1657	2	1	the	the	DET
cana-1657	2	2	significance	significance	NOUN
cana-1657	2	3	of	of	ADP
cana-1657	2	4	this	this	DET
cana-1657	2	5	study	study	NOUN
cana-1657	2	6	lies	lie	VERB
cana-1657	2	7	in	in	ADP
cana-1657	2	8	mass	mass	ADJ
cana-1657	2	9	diffusion	diffusion	NOUN
cana-1657	2	10	on	on	ADP
cana-1657	2	11	a	a	DET
cana-1657	2	12	three	three	NUM
cana-1657	2	13	-	-	PUNCT
cana-1657	2	14	dimensional	dimensional	ADJ
cana-1657	2	15	williamson	williamson	NOUN
cana-1657	2	16	nanofluid	nanofluid	NOUN
cana-1657	2	17	fluid	fluid	NOUN
cana-1657	2	18	flow	flow	NOUN
cana-1657	2	19	over	over	ADP
cana-1657	2	20	a	a	DET
cana-1657	2	21	double	double	ADJ
cana-1657	2	22	stretched	stretch	VERB
cana-1657	2	23	sheet	sheet	NOUN
cana-1657	2	24	.	.	PUNCT
cana-1657	3	1	when	when	SCONJ
cana-1657	3	2	thermal	thermal	ADJ
cana-1657	3	3	radiation	radiation	NOUN
cana-1657	3	4	and	and	CCONJ
cana-1657	3	5	hall	hall	PROPN
cana-1657	3	6	current	current	NOUN
cana-1657	3	7	is	be	AUX
cana-1657	3	8	present	present	ADJ
cana-1657	3	9	,	,	PUNCT
cana-1657	3	10	the	the	DET
cana-1657	3	11	heat	heat	NOUN
cana-1657	3	12	transfer	transfer	NOUN
cana-1657	3	13	process	process	NOUN
cana-1657	3	14	is	be	AUX
cana-1657	3	15	explored	explore	VERB
cana-1657	3	16	to	to	PART
cana-1657	3	17	see	see	VERB
cana-1657	3	18	how	how	SCONJ
cana-1657	3	19	chemical	chemical	ADJ
cana-1657	3	20	reactions	reaction	NOUN
cana-1657	3	21	affect	affect	VERB
cana-1657	3	22	heat	heat	NOUN
cana-1657	3	23	and	and	CCONJ
cana-1657	3	24	mass	mass	ADJ
cana-1657	3	25	transmission	transmission	NOUN
cana-1657	3	26	.	.	PUNCT
cana-1657	4	1	additional	additional	ADJ
cana-1657	4	2	phenomena	phenomenon	NOUN
cana-1657	4	3	,	,	PUNCT
cana-1657	4	4	such	such	ADJ
cana-1657	4	5	as	as	ADP
cana-1657	4	6	momentum	momentum	NOUN
cana-1657	4	7	slip	slip	NOUN
cana-1657	4	8	and	and	CCONJ
cana-1657	4	9	convective	convective	ADJ
cana-1657	4	10	boundary	boundary	ADJ
cana-1657	4	11	conditions	condition	NOUN
cana-1657	4	12	,	,	PUNCT
cana-1657	4	13	contribute	contribute	VERB
cana-1657	4	14	to	to	ADP
cana-1657	4	15	the	the	DET
cana-1657	4	16	model	model	NOUN
cana-1657	4	17	's	's	PART
cana-1657	4	18	uniqueness	uniqueness	NOUN
cana-1657	4	19	.	.	PUNCT
cana-1657	5	1	the	the	DET
cana-1657	5	2	problem	problem	NOUN
cana-1657	5	3	formulation	formulation	NOUN
cana-1657	5	4	becomes	become	VERB
cana-1657	5	5	ordinary	ordinary	ADJ
cana-1657	5	6	differential	differential	ADJ
cana-1657	5	7	equations	equation	NOUN
cana-1657	5	8	with	with	ADP
cana-1657	5	9	application	application	NOUN
cana-1657	5	10	of	of	ADP
cana-1657	5	11	the	the	DET
cana-1657	5	12	von	von	PROPN
cana-1657	5	13	karman	karman	PROPN
cana-1657	5	14	similarity	similarity	PROPN
cana-1657	5	15	variable	variable	NOUN
cana-1657	5	16	.	.	PUNCT
cana-1657	6	1	use	use	NOUN
cana-1657	6	2	of	of	ADP
cana-1657	6	3	the	the	DET
cana-1657	6	4	bvp4c	bvp4c	PROPN
cana-1657	6	5	function	function	NOUN
cana-1657	6	6	in	in	ADP
cana-1657	6	7	yields	yield	NOUN
cana-1657	6	8	a	a	DET
cana-1657	6	9	numerical	numerical	ADJ
cana-1657	6	10	solution	solution	NOUN
cana-1657	6	11	for	for	ADP
cana-1657	6	12	the	the	DET
cana-1657	6	13	system	system	NOUN
cana-1657	6	14	of	of	ADP
cana-1657	6	15	differential	differential	ADJ
cana-1657	6	16	equations	equation	NOUN
cana-1657	6	17	.	.	PUNCT
cana-1657	7	1	using	use	VERB
cana-1657	7	2	matlab	matlab	PROPN
cana-1657	7	3	’s	’s	PART
cana-1657	7	4	bvp4c	bvp4c	PROPN
cana-1657	7	5	function	function	NOUN
cana-1657	7	6	,	,	PUNCT
cana-1657	7	7	a	a	DET
cana-1657	7	8	numerical	numerical	ADJ
cana-1657	7	9	solution	solution	NOUN
cana-1657	7	10	to	to	ADP
cana-1657	7	11	the	the	DET
cana-1657	7	12	differential	differential	ADJ
cana-1657	7	13	equation	equation	NOUN
cana-1657	7	14	system	system	NOUN
cana-1657	7	15	is	be	AUX
cana-1657	7	16	obtained	obtain	VERB
cana-1657	7	17	.	.	PUNCT
cana-1657	8	1	a	a	DET
cana-1657	8	2	graphic	graphic	NOUN
cana-1657	8	3	is	be	AUX
cana-1657	8	4	used	use	VERB
cana-1657	8	5	to	to	PART
cana-1657	8	6	discuss	discuss	VERB
cana-1657	8	7	the	the	DET
cana-1657	8	8	overall	overall	ADJ
cana-1657	8	9	result	result	NOUN
cana-1657	8	10	of	of	ADP
cana-1657	8	11	several	several	ADJ
cana-1657	8	12	metrics	metric	NOUN
cana-1657	8	13	compared	compare	VERB
cana-1657	8	14	to	to	ADP
cana-1657	8	15	the	the	DET
cana-1657	8	16	involved	involved	ADJ
cana-1657	8	17	profiles	profile	NOUN
cana-1657	8	18	.	.	PUNCT
cana-1657	9	1	it	it	PRON
cana-1657	9	2	is	be	AUX
cana-1657	9	3	believed	believe	VERB
cana-1657	9	4	that	that	SCONJ
cana-1657	9	5	as	as	ADP
cana-1657	9	6	temperature	temperature	NOUN
cana-1657	9	7	-	-	PUNCT
cana-1657	9	8	dependent	dependent	ADJ
cana-1657	9	9	thermal	thermal	ADJ
cana-1657	9	10	conductivity	conductivity	NOUN
cana-1657	9	11	and	and	CCONJ
cana-1657	9	12	viscosity	viscosity	NOUN
cana-1657	9	13	increase	increase	NOUN
cana-1657	9	14	,	,	PUNCT
cana-1657	9	15	so	so	ADV
cana-1657	9	16	does	do	VERB
cana-1657	9	17	the	the	DET
cana-1657	9	18	temperature	temperature	NOUN
cana-1657	9	19	field	field	NOUN
cana-1657	9	20	.	.	PUNCT
cana-1657	10	1	when	when	SCONJ
cana-1657	10	2	the	the	DET
cana-1657	10	3	williamson	williamson	PROPN
cana-1657	10	4	fluid	fluid	NOUN
cana-1657	10	5	and	and	CCONJ
cana-1657	10	6	magnetic	magnetic	ADJ
cana-1657	10	7	parameters	parameter	NOUN
cana-1657	10	8	rise	rise	VERB
cana-1657	10	9	,	,	PUNCT
cana-1657	10	10	the	the	DET
cana-1657	10	11	velocity	velocity	NOUN
cana-1657	10	12	field	field	NOUN
cana-1657	10	13	decays	decay	VERB
cana-1657	10	14	in	in	ADP
cana-1657	10	15	the	the	DET
cana-1657	10	16	xand	xand	PROPN
cana-1657	10	17	y	y	ADJ
cana-1657	10	18	-	-	PUNCT
cana-1657	10	19	axis	axis	NOUN
cana-1657	10	20	directions	direction	NOUN
cana-1657	10	21	.	.	PUNCT
cana-1657	11	1	to	to	PART
cana-1657	11	2	support	support	VERB
cana-1657	11	3	the	the	DET
cana-1657	11	4	identified	identify	VERB
cana-1657	11	5	issue	issue	NOUN
cana-1657	11	6	,	,	PUNCT
cana-1657	11	7	a	a	DET
cana-1657	11	8	comparison	comparison	NOUN
cana-1657	11	9	between	between	ADP
cana-1657	11	10	the	the	DET
cana-1657	11	11	current	current	ADJ
cana-1657	11	12	inquiry	inquiry	NOUN
cana-1657	11	13	and	and	CCONJ
cana-1657	11	14	a	a	DET
cana-1657	11	15	previously	previously	ADV
cana-1657	11	16	published	publish	VERB
cana-1657	11	17	work	work	NOUN
cana-1657	11	18	is	be	AUX
cana-1657	11	19	also	also	ADV
cana-1657	11	20	included	include	VERB
cana-1657	11	21	.	.	PUNCT
cana-1657	12	1	keywords	keyword	NOUN
cana-1657	12	2	:	:	PUNCT
cana-1657	12	3	williamson	williamson	PROPN
cana-1657	12	4	nanofluid	nanofluid	PROPN
cana-1657	12	5	,	,	PUNCT
cana-1657	12	6	thermal	thermal	ADJ
cana-1657	12	7	radiation	radiation	NOUN
cana-1657	12	8	,	,	PUNCT
cana-1657	12	9	mhd	mhd	NOUN
cana-1657	12	10	,	,	PUNCT
cana-1657	12	11	chemical	chemical	NOUN
cana-1657	12	12	reaction	reaction	NOUN
cana-1657	12	13	,	,	PUNCT
cana-1657	12	14	variable	variable	ADJ
cana-1657	12	15	viscosity	viscosity	NOUN
cana-1657	12	16	.	.	PUNCT
cana-1657	13	1	1	1	X
cana-1657	13	2	.	.	X
cana-1657	13	3	introduction	introduction	NOUN
cana-1657	13	4	the	the	DET
cana-1657	13	5	exploration	exploration	NOUN
cana-1657	13	6	of	of	ADP
cana-1657	13	7	non	non	ADJ
cana-1657	13	8	-	-	ADJ
cana-1657	13	9	newtonian	newtonian	ADJ
cana-1657	13	10	fluid	fluid	ADJ
cana-1657	13	11	dynamics	dynamic	NOUN
cana-1657	13	12	,	,	PUNCT
cana-1657	13	13	especially	especially	ADV
cana-1657	13	14	those	those	PRON
cana-1657	13	15	exhibiting	exhibit	VERB
cana-1657	13	16	variable	variable	ADJ
cana-1657	13	17	properties	property	NOUN
cana-1657	13	18	,	,	PUNCT
cana-1657	13	19	holds	hold	VERB
cana-1657	13	20	paramount	paramount	ADJ
cana-1657	13	21	importance	importance	NOUN
cana-1657	13	22	across	across	ADP
cana-1657	13	23	a	a	DET
cana-1657	13	24	multitude	multitude	NOUN
cana-1657	13	25	of	of	ADP
cana-1657	13	26	industrial	industrial	ADJ
cana-1657	13	27	and	and	CCONJ
cana-1657	13	28	engineering	engineering	NOUN
cana-1657	13	29	domains	domain	NOUN
cana-1657	13	30	,	,	PUNCT
cana-1657	13	31	including	include	VERB
cana-1657	13	32	polymer	polymer	NOUN
cana-1657	13	33	processing	processing	NOUN
cana-1657	13	34	,	,	PUNCT
cana-1657	13	35	food	food	NOUN
cana-1657	13	36	manufacturing	manufacturing	NOUN
cana-1657	13	37	,	,	PUNCT
cana-1657	13	38	and	and	CCONJ
cana-1657	13	39	biomedical	biomedical	ADJ
cana-1657	13	40	engineering	engineering	NOUN
cana-1657	13	41	.	.	PUNCT
cana-1657	14	1	a	a	DET
cana-1657	14	2	critical	critical	ADJ
cana-1657	14	3	component	component	NOUN
cana-1657	14	4	of	of	ADP
cana-1657	14	5	these	these	DET
cana-1657	14	6	fluids	fluid	NOUN
cana-1657	14	7	is	be	AUX
cana-1657	14	8	their	their	PRON
cana-1657	14	9	reaction	reaction	NOUN
cana-1657	14	10	to	to	ADP
cana-1657	14	11	thermal	thermal	ADJ
cana-1657	14	12	influences	influence	NOUN
cana-1657	14	13	,	,	PUNCT
cana-1657	14	14	which	which	PRON
cana-1657	14	15	can	can	AUX
cana-1657	14	16	profoundly	profoundly	ADV
cana-1657	14	17	affect	affect	VERB
cana-1657	14	18	their	their	PRON
cana-1657	14	19	flow	flow	NOUN
cana-1657	14	20	behavior	behavior	NOUN
cana-1657	14	21	and	and	CCONJ
cana-1657	14	22	heat	heat	NOUN
cana-1657	14	23	transfer	transfer	NOUN
cana-1657	14	24	properties	property	NOUN
cana-1657	14	25	.	.	PUNCT
cana-1657	15	1	the	the	DET
cana-1657	15	2	studies	study	NOUN
cana-1657	15	3	delve	delve	VERB
cana-1657	15	4	into	into	ADP
cana-1657	15	5	the	the	DET
cana-1657	15	6	traits	trait	NOUN
cana-1657	15	7	of	of	ADP
cana-1657	15	8	3d	3d	NUM
cana-1657	15	9	fluid	fluid	NOUN
cana-1657	15	10	flows	flow	NOUN
cana-1657	15	11	with	with	ADP
cana-1657	15	12	maxwell	maxwell	PROPN
cana-1657	15	13	fluids	fluid	NOUN
cana-1657	15	14	that	that	PRON
cana-1657	15	15	have	have	AUX
cana-1657	15	16	changing	change	VERB
cana-1657	15	17	properties	property	NOUN
cana-1657	15	18	like	like	ADP
cana-1657	15	19	viscosity	viscosity	NOUN
cana-1657	15	20	and	and	CCONJ
cana-1657	15	21	thermal	thermal	ADJ
cana-1657	15	22	conductivity	conductivity	NOUN
cana-1657	15	23	.	.	PUNCT
cana-1657	16	1	these	these	DET
cana-1657	16	2	studies	study	NOUN
cana-1657	16	3	investigate	investigate	VERB
cana-1657	16	4	the	the	DET
cana-1657	16	5	effects	effect	NOUN
cana-1657	16	6	of	of	ADP
cana-1657	16	7	temperature	temperature	NOUN
cana-1657	16	8	,	,	PUNCT
cana-1657	16	9	shear	shear	NOUN
cana-1657	16	10	rate	rate	NOUN
cana-1657	16	11	,	,	PUNCT
cana-1657	16	12	and	and	CCONJ
cana-1657	16	13	magnetic	magnetic	ADJ
cana-1657	16	14	fields	field	NOUN
cana-1657	16	15	on	on	ADP
cana-1657	16	16	the	the	DET
cana-1657	16	17	flow	flow	NOUN
cana-1657	16	18	behavior	behavior	NOUN
cana-1657	16	19	of	of	ADP
cana-1657	16	20	such	such	ADJ
cana-1657	16	21	fluids	fluid	NOUN
cana-1657	16	22	.	.	PUNCT
cana-1657	17	1	imtiaz	imtiaz	PROPN
cana-1657	18	1	[	[	X
cana-1657	18	2	1	1	X
cana-1657	18	3	]	]	PUNCT
cana-1657	18	4	investigated	investigate	VERB
cana-1657	18	5	the	the	DET
cana-1657	18	6	effects	effect	NOUN
cana-1657	18	7	of	of	ADP
cana-1657	18	8	factors	factor	NOUN
cana-1657	18	9	such	such	ADJ
cana-1657	18	10	as	as	ADP
cana-1657	18	11	the	the	DET
cana-1657	18	12	maxwell	maxwell	PROPN
cana-1657	18	13	fluid	fluid	PROPN
cana-1657	18	14	parameter	parameter	NOUN
cana-1657	18	15	,	,	PUNCT
cana-1657	18	16	thermal	thermal	ADJ
cana-1657	18	17	radiation	radiation	NOUN
cana-1657	18	18	parameter	parameter	NOUN
cana-1657	18	19	,	,	PUNCT
cana-1657	18	20	schmidt	schmidt	ADJ
cana-1657	18	21	number	number	NOUN
cana-1657	18	22	,	,	PUNCT
cana-1657	18	23	and	and	CCONJ
cana-1657	18	24	prandtl	prandtl	NOUN
cana-1657	18	25	number	number	NOUN
cana-1657	18	26	on	on	ADP
cana-1657	18	27	velocity	velocity	NOUN
cana-1657	18	28	,	,	PUNCT
cana-1657	18	29	temperature	temperature	NOUN
cana-1657	18	30	,	,	PUNCT
cana-1657	18	31	and	and	CCONJ
cana-1657	18	32	mass	mass	NOUN
cana-1657	18	33	transfer	transfer	NOUN
cana-1657	18	34	rates	rate	NOUN
cana-1657	18	35	.	.	PUNCT
cana-1657	19	1	furthermore	furthermore	ADV
cana-1657	19	2	,	,	PUNCT
cana-1657	19	3	the	the	DET
cana-1657	19	4	cattaneo	cattaneo	NOUN
cana-1657	19	5	-	-	PUNCT
cana-1657	19	6	christov	christov	ADJ
cana-1657	19	7	double	double	ADJ
cana-1657	19	8	diffusion	diffusion	NOUN
cana-1657	19	9	model	model	NOUN
cana-1657	19	10	is	be	AUX
cana-1657	19	11	used	use	VERB
cana-1657	19	12	to	to	PART
cana-1657	19	13	assess	assess	VERB
cana-1657	19	14	flow	flow	NOUN
cana-1657	19	15	over	over	ADP
cana-1657	19	16	bi	bi	ADJ
cana-1657	19	17	-	-	ADJ
cana-1657	19	18	directional	directional	ADJ
cana-1657	19	19	stretching	stretching	NOUN
cana-1657	19	20	surfaces	surface	NOUN
cana-1657	19	21	,	,	PUNCT
cana-1657	19	22	taking	take	VERB
cana-1657	19	23	into	into	ADP
cana-1657	19	24	account	account	NOUN
cana-1657	19	25	concentration	concentration	NOUN
cana-1657	19	26	-	-	PUNCT
cana-1657	19	27	dependent	dependent	ADJ
cana-1657	19	28	diffusivity	diffusivity	NOUN
cana-1657	19	29	,	,	PUNCT
cana-1657	19	30	temperature	temperature	NOUN
cana-1657	19	31	-	-	PUNCT
cana-1657	19	32	dependent	dependent	ADJ
cana-1657	19	33	dynamic	dynamic	ADJ
cana-1657	19	34	mailto:reddym195@gmail.com	mailto:reddym195@gmail.com	PROPN
cana-1657	19	35	mailto:kishan.naikoti@gmail.com	mailto:kishan.naikoti@gmail.com	X
cana-1657	19	36	mailto:ramanmaths7@gmail.com	mailto:ramanmaths7@gmail.com	X
cana-1657	19	37	communications	communication	NOUN
cana-1657	19	38	on	on	ADP
cana-1657	19	39	applied	apply	VERB
cana-1657	19	40	nonlinear	nonlinear	ADJ
cana-1657	19	41	analysis	analysis	NOUN
cana-1657	19	42	issn	issn	NOUN
cana-1657	19	43	:	:	PUNCT
cana-1657	19	44	1074	1074	NUM
cana-1657	19	45	-	-	PUNCT
cana-1657	19	46	133x	133x	NUM
cana-1657	19	47	vol	vol	NOUN
cana-1657	19	48	32	32	NUM
cana-1657	19	49	no	no	NOUN
cana-1657	19	50	.	.	NOUN
cana-1657	19	51	1	1	NUM
cana-1657	19	52	(	(	PUNCT
cana-1657	19	53	2025	2025	NUM
cana-1657	19	54	)	)	PUNCT
cana-1657	19	55	361	361	NUM
cana-1657	19	56	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	19	57	viscosity	viscosity	NOUN
cana-1657	19	58	,	,	PUNCT
cana-1657	19	59	and	and	CCONJ
cana-1657	19	60	thermal	thermal	ADJ
cana-1657	19	61	conductivity	conductivity	NOUN
cana-1657	19	62	,	,	PUNCT
cana-1657	19	63	as	as	SCONJ
cana-1657	19	64	investigated	investigate	VERB
cana-1657	19	65	by	by	ADP
cana-1657	19	66	upreti	upreti	PROPN
cana-1657	19	67	et	et	PROPN
cana-1657	19	68	al	al	PROPN
cana-1657	19	69	,	,	PUNCT
cana-1657	19	70	[	[	X
cana-1657	19	71	2	2	NUM
cana-1657	19	72	]	]	PUNCT
cana-1657	19	73	.	.	PUNCT
cana-1657	20	1	the	the	DET
cana-1657	20	2	findings	finding	NOUN
cana-1657	20	3	highlight	highlight	VERB
cana-1657	20	4	the	the	DET
cana-1657	20	5	importance	importance	NOUN
cana-1657	20	6	of	of	ADP
cana-1657	20	7	knowing	know	VERB
cana-1657	20	8	how	how	SCONJ
cana-1657	20	9	these	these	DET
cana-1657	20	10	factors	factor	NOUN
cana-1657	20	11	influence	influence	VERB
cana-1657	20	12	fluid	fluid	NOUN
cana-1657	20	13	dynamics	dynamic	NOUN
cana-1657	20	14	and	and	CCONJ
cana-1657	20	15	heat	heat	NOUN
cana-1657	20	16	transfer	transfer	NOUN
cana-1657	20	17	processes	process	NOUN
cana-1657	20	18	in	in	ADP
cana-1657	20	19	complicated	complicated	ADJ
cana-1657	20	20	flow	flow	NOUN
cana-1657	20	21	settings	setting	NOUN
cana-1657	20	22	,	,	PUNCT
cana-1657	20	23	which	which	PRON
cana-1657	20	24	may	may	AUX
cana-1657	20	25	provide	provide	VERB
cana-1657	20	26	useful	useful	ADJ
cana-1657	20	27	insights	insight	NOUN
cana-1657	20	28	for	for	ADP
cana-1657	20	29	industrial	industrial	ADJ
cana-1657	20	30	applications	application	NOUN
cana-1657	20	31	.	.	PUNCT
cana-1657	21	1	the	the	DET
cana-1657	21	2	viscosity	viscosity	NOUN
cana-1657	21	3	of	of	ADP
cana-1657	21	4	the	the	DET
cana-1657	21	5	fluid	fluid	NOUN
cana-1657	21	6	is	be	AUX
cana-1657	21	7	modeled	model	VERB
cana-1657	21	8	through	through	ADP
cana-1657	21	9	an	an	DET
cana-1657	21	10	arrhenius	arrhenius	NOUN
cana-1657	21	11	-	-	PUNCT
cana-1657	21	12	type	type	NOUN
cana-1657	21	13	relationship	relationship	NOUN
cana-1657	21	14	,	,	PUNCT
cana-1657	21	15	while	while	SCONJ
cana-1657	21	16	the	the	DET
cana-1657	21	17	heat	heat	NOUN
cana-1657	21	18	necessary	necessary	ADJ
cana-1657	21	19	for	for	ADP
cana-1657	21	20	melting	melting	NOUN
cana-1657	21	21	is	be	AUX
cana-1657	21	22	depicted	depict	VERB
cana-1657	21	23	as	as	ADP
cana-1657	21	24	a	a	DET
cana-1657	21	25	source	source	NOUN
cana-1657	21	26	term	term	NOUN
cana-1657	21	27	within	within	ADP
cana-1657	21	28	the	the	DET
cana-1657	21	29	energy	energy	NOUN
cana-1657	21	30	equation	equation	NOUN
cana-1657	21	31	by	by	ADP
cana-1657	21	32	sinha	sinha	PROPN
cana-1657	21	33	et	et	PROPN
cana-1657	21	34	al	al	PROPN
cana-1657	21	35	.	.	PUNCT
cana-1657	22	1	[	[	X
cana-1657	22	2	3	3	NUM
cana-1657	22	3	]	]	PUNCT
cana-1657	22	4	.	.	PUNCT
cana-1657	23	1	a	a	DET
cana-1657	23	2	numerical	numerical	ADJ
cana-1657	23	3	analysis	analysis	NOUN
cana-1657	23	4	of	of	ADP
cana-1657	23	5	a	a	DET
cana-1657	23	6	steady	steady	ADJ
cana-1657	23	7	biomagnetic	biomagnetic	ADJ
cana-1657	23	8	fluid	fluid	NOUN
cana-1657	23	9	flow	flow	NOUN
cana-1657	23	10	(	(	PUNCT
cana-1657	23	11	bfd	bfd	PROPN
cana-1657	23	12	)	)	PUNCT
cana-1657	23	13	driven	drive	VERB
cana-1657	23	14	by	by	ADP
cana-1657	23	15	a	a	DET
cana-1657	23	16	magnetic	magnetic	ADJ
cana-1657	23	17	dipole	dipole	NOUN
cana-1657	23	18	across	across	ADP
cana-1657	23	19	a	a	DET
cana-1657	23	20	twodimensional	twodimensional	ADJ
cana-1657	23	21	stretching	stretching	NOUN
cana-1657	23	22	sheet	sheet	NOUN
cana-1657	23	23	with	with	ADP
cana-1657	23	24	variable	variable	ADJ
cana-1657	23	25	viscosity	viscosity	NOUN
cana-1657	23	26	and	and	CCONJ
cana-1657	23	27	thermal	thermal	ADJ
cana-1657	23	28	conductivity	conductivity	NOUN
cana-1657	23	29	was	be	AUX
cana-1657	23	30	carried	carry	VERB
cana-1657	23	31	out	out	ADP
cana-1657	23	32	in	in	ADP
cana-1657	23	33	the	the	DET
cana-1657	23	34	paper	paper	NOUN
cana-1657	23	35	by	by	ADP
cana-1657	23	36	murtaza	murtaza	PROPN
cana-1657	23	37	et	et	PROPN
cana-1657	23	38	al.[4	al.[4	PROPN
cana-1657	23	39	]	]	PUNCT
cana-1657	23	40	.	.	PUNCT
cana-1657	24	1	using	use	VERB
cana-1657	24	2	the	the	DET
cana-1657	24	3	concepts	concept	NOUN
cana-1657	24	4	of	of	ADP
cana-1657	24	5	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1657	24	6	(	(	PUNCT
cana-1657	24	7	mhd	mhd	NOUN
cana-1657	24	8	)	)	PUNCT
cana-1657	24	9	and	and	CCONJ
cana-1657	24	10	ferrohydrodynamics	ferrohydrodynamic	NOUN
cana-1657	24	11	(	(	PUNCT
cana-1657	24	12	fhd	fhd	NOUN
cana-1657	24	13	)	)	PUNCT
cana-1657	24	14	,	,	PUNCT
cana-1657	24	15	the	the	DET
cana-1657	24	16	model	model	NOUN
cana-1657	24	17	treated	treat	VERB
cana-1657	24	18	blood	blood	NOUN
cana-1657	24	19	as	as	ADP
cana-1657	24	20	a	a	DET
cana-1657	24	21	polarized	polarize	VERB
cana-1657	24	22	,	,	PUNCT
cana-1657	24	23	electrically	electrically	ADV
cana-1657	24	24	conducting	conduct	VERB
cana-1657	24	25	fluid	fluid	NOUN
cana-1657	24	26	.	.	PUNCT
cana-1657	25	1	furthermore	furthermore	ADV
cana-1657	25	2	,	,	PUNCT
cana-1657	25	3	the	the	DET
cana-1657	25	4	effect	effect	NOUN
cana-1657	25	5	of	of	ADP
cana-1657	25	6	boundary	boundary	ADJ
cana-1657	25	7	slip	slip	NOUN
cana-1657	25	8	on	on	ADP
cana-1657	25	9	fluid	fluid	ADJ
cana-1657	25	10	dynamics	dynamic	NOUN
cana-1657	25	11	in	in	ADP
cana-1657	25	12	sedimentary	sedimentary	ADJ
cana-1657	25	13	formations	formation	NOUN
cana-1657	25	14	with	with	ADP
cana-1657	25	15	low	low	ADJ
cana-1657	25	16	permeability	permeability	NOUN
cana-1657	25	17	emphasizes	emphasize	VERB
cana-1657	25	18	the	the	DET
cana-1657	25	19	necessity	necessity	NOUN
cana-1657	25	20	of	of	ADP
cana-1657	25	21	taking	take	VERB
cana-1657	25	22	slip	slip	NOUN
cana-1657	25	23	conditions	condition	NOUN
cana-1657	25	24	into	into	ADP
cana-1657	25	25	account	account	NOUN
cana-1657	25	26	in	in	ADP
cana-1657	25	27	complicated	complicated	ADJ
cana-1657	25	28	porous	porous	ADJ
cana-1657	25	29	systems	system	NOUN
cana-1657	25	30	,	,	PUNCT
cana-1657	25	31	particularly	particularly	ADV
cana-1657	25	32	when	when	SCONJ
cana-1657	25	33	working	work	VERB
cana-1657	25	34	with	with	ADP
cana-1657	25	35	the	the	DET
cana-1657	25	36	heterogeneous	heterogeneous	ADJ
cana-1657	25	37	structures	structure	NOUN
cana-1657	25	38	that	that	DET
cana-1657	25	39	muzemder	muzemder	NOUN
cana-1657	25	40	&	&	CCONJ
cana-1657	25	41	singh	singh	PROPN
cana-1657	25	42	[	[	X
cana-1657	25	43	5	5	NUM
cana-1657	25	44	]	]	PUNCT
cana-1657	25	45	analyzed	analyze	VERB
cana-1657	25	46	.	.	PUNCT
cana-1657	26	1	moreover	moreover	ADV
cana-1657	26	2	,	,	PUNCT
cana-1657	26	3	the	the	DET
cana-1657	26	4	examination	examination	NOUN
cana-1657	26	5	of	of	ADP
cana-1657	26	6	fluid	fluid	ADJ
cana-1657	26	7	-	-	PUNCT
cana-1657	26	8	structure	structure	NOUN
cana-1657	26	9	interactions	interaction	NOUN
cana-1657	26	10	in	in	ADP
cana-1657	26	11	three	three	NUM
cana-1657	26	12	-	-	PUNCT
cana-1657	26	13	dimensional	dimensional	ADJ
cana-1657	26	14	domains	domain	NOUN
cana-1657	26	15	using	use	VERB
cana-1657	26	16	navier	navier	NOUN
cana-1657	26	17	's	's	PART
cana-1657	26	18	slip	slip	NOUN
cana-1657	26	19	interface	interface	NOUN
cana-1657	26	20	conditions	condition	NOUN
cana-1657	26	21	highlights	highlight	VERB
cana-1657	26	22	the	the	DET
cana-1657	26	23	significance	significance	NOUN
cana-1657	26	24	of	of	ADP
cana-1657	26	25	taking	take	VERB
cana-1657	26	26	into	into	ADP
cana-1657	26	27	account	account	NOUN
cana-1657	26	28	various	various	ADJ
cana-1657	26	29	slipping	slip	VERB
cana-1657	26	30	conditions	condition	NOUN
cana-1657	26	31	at	at	ADP
cana-1657	26	32	fluid	fluid	NOUN
cana-1657	26	33	-	-	PUNCT
cana-1657	26	34	structure	structure	NOUN
cana-1657	26	35	interfaces	interface	NOUN
cana-1657	26	36	instead	instead	ADV
cana-1657	26	37	of	of	ADP
cana-1657	26	38	depending	depend	VERB
cana-1657	26	39	exclusively	exclusively	ADV
cana-1657	26	40	on	on	ADP
cana-1657	26	41	the	the	DET
cana-1657	26	42	conventional	conventional	ADJ
cana-1657	26	43	no	no	DET
cana-1657	26	44	-	-	PUNCT
cana-1657	26	45	slip	slip	NOUN
cana-1657	26	46	boundary	boundary	ADJ
cana-1657	26	47	condition	condition	NOUN
cana-1657	26	48	studied	study	VERB
cana-1657	26	49	by	by	ADP
cana-1657	26	50	fara	fara	PROPN
cana-1657	26	51	et	et	PROPN
cana-1657	26	52	al	al	PROPN
cana-1657	26	53	.	.	PUNCT
cana-1657	27	1	[	[	X
cana-1657	27	2	6	6	NUM
cana-1657	27	3	]	]	PUNCT
cana-1657	27	4	.	.	PUNCT
cana-1657	28	1	in	in	ADP
cana-1657	28	2	many	many	ADJ
cana-1657	28	3	industrial	industrial	ADJ
cana-1657	28	4	applications	application	NOUN
cana-1657	28	5	,	,	PUNCT
cana-1657	28	6	it	it	PRON
cana-1657	28	7	is	be	AUX
cana-1657	28	8	essential	essential	ADJ
cana-1657	28	9	to	to	PART
cana-1657	28	10	understand	understand	VERB
cana-1657	28	11	3d	3d	NUM
cana-1657	28	12	flow	flow	NOUN
cana-1657	28	13	with	with	ADP
cana-1657	28	14	varying	vary	VERB
cana-1657	28	15	viscosity	viscosity	NOUN
cana-1657	28	16	and	and	CCONJ
cana-1657	28	17	liquid	liquid	ADJ
cana-1657	28	18	characteristics	characteristic	NOUN
cana-1657	28	19	,	,	PUNCT
cana-1657	28	20	especially	especially	ADV
cana-1657	28	21	maxwell	maxwell	PROPN
cana-1657	28	22	fluids	fluid	NOUN
cana-1657	28	23	.	.	PUNCT
cana-1657	29	1	due	due	ADP
cana-1657	29	2	to	to	ADP
cana-1657	29	3	their	their	PRON
cana-1657	29	4	dual	dual	ADJ
cana-1657	29	5	viscous	viscous	ADJ
cana-1657	29	6	and	and	CCONJ
cana-1657	29	7	elastic	elastic	ADJ
cana-1657	29	8	characteristics	characteristic	NOUN
cana-1657	29	9	,	,	PUNCT
cana-1657	29	10	maxwell	maxwell	PROPN
cana-1657	29	11	fluids	fluid	NOUN
cana-1657	29	12	are	be	AUX
cana-1657	29	13	useful	useful	ADJ
cana-1657	29	14	in	in	ADP
cana-1657	29	15	the	the	DET
cana-1657	29	16	polymeric	polymeric	ADJ
cana-1657	29	17	industries	industry	NOUN
cana-1657	29	18	that	that	PRON
cana-1657	29	19	sudarmozhi	sudarmozhi	VERB
cana-1657	29	20	et	et	PROPN
cana-1657	29	21	al	al	PROPN
cana-1657	29	22	.	.	PUNCT
cana-1657	30	1	[	[	X
cana-1657	30	2	7	7	X
cana-1657	30	3	]	]	PUNCT
cana-1657	30	4	studied	study	VERB
cana-1657	30	5	.	.	PUNCT
cana-1657	31	1	the	the	DET
cana-1657	31	2	significance	significance	NOUN
cana-1657	31	3	of	of	ADP
cana-1657	31	4	taking	take	VERB
cana-1657	31	5	into	into	ADP
cana-1657	31	6	account	account	NOUN
cana-1657	31	7	variable	variable	ADJ
cana-1657	31	8	characteristics	characteristic	NOUN
cana-1657	31	9	in	in	ADP
cana-1657	31	10	fluid	fluid	ADJ
cana-1657	31	11	dynamics	dynamic	NOUN
cana-1657	31	12	investigations	investigation	NOUN
cana-1657	31	13	is	be	AUX
cana-1657	31	14	demonstrated	demonstrate	VERB
cana-1657	31	15	by	by	ADP
cana-1657	31	16	muhammad	muhammad	PROPN
cana-1657	31	17	et	et	PROPN
cana-1657	31	18	al	al	PROPN
cana-1657	31	19	.	.	PUNCT
cana-1657	32	1	[	[	X
cana-1657	32	2	8	8	NUM
cana-1657	32	3	]	]	PUNCT
cana-1657	32	4	observation	observation	NOUN
cana-1657	32	5	that	that	SCONJ
cana-1657	32	6	the	the	DET
cana-1657	32	7	impact	impact	NOUN
cana-1657	32	8	of	of	ADP
cana-1657	32	9	concentrationand	concentrationand	NOUN
cana-1657	32	10	temperature	temperature	NOUN
cana-1657	32	11	-	-	PUNCT
cana-1657	32	12	dependent	dependent	ADJ
cana-1657	32	13	diffusivity	diffusivity	NOUN
cana-1657	32	14	and	and	CCONJ
cana-1657	32	15	viscosity	viscosity	NOUN
cana-1657	32	16	on	on	ADP
cana-1657	32	17	flow	flow	NOUN
cana-1657	32	18	behavior	behavior	NOUN
cana-1657	32	19	has	have	AUX
cana-1657	32	20	been	be	AUX
cana-1657	32	21	investigated	investigate	VERB
cana-1657	32	22	.	.	PUNCT
cana-1657	33	1	numerous	numerous	ADJ
cana-1657	33	2	studies	study	NOUN
cana-1657	33	3	have	have	AUX
cana-1657	33	4	been	be	AUX
cana-1657	33	5	conducted	conduct	VERB
cana-1657	33	6	on	on	ADP
cana-1657	33	7	the	the	DET
cana-1657	33	8	changing	change	VERB
cana-1657	33	9	characteristics	characteristic	NOUN
cana-1657	33	10	of	of	ADP
cana-1657	33	11	liquid	liquid	NOUN
cana-1657	33	12	in	in	ADP
cana-1657	33	13	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1657	33	14	(	(	PUNCT
cana-1657	33	15	mhd	mhd	NOUN
cana-1657	33	16	)	)	PUNCT
cana-1657	33	17	fluid	fluid	NOUN
cana-1657	33	18	flow	flow	NOUN
cana-1657	33	19	in	in	ADP
cana-1657	33	20	a	a	DET
cana-1657	33	21	variety	variety	NOUN
cana-1657	33	22	of	of	ADP
cana-1657	33	23	settings	setting	NOUN
cana-1657	33	24	.	.	PUNCT
cana-1657	34	1	in	in	ADP
cana-1657	34	2	their	their	PRON
cana-1657	34	3	investigation	investigation	NOUN
cana-1657	34	4	of	of	ADP
cana-1657	34	5	the	the	DET
cana-1657	34	6	effects	effect	NOUN
cana-1657	34	7	of	of	ADP
cana-1657	34	8	changing	change	VERB
cana-1657	34	9	fluid	fluid	ADJ
cana-1657	34	10	characteristics	characteristic	NOUN
cana-1657	34	11	on	on	ADP
cana-1657	34	12	the	the	DET
cana-1657	34	13	temperature	temperature	NOUN
cana-1657	34	14	and	and	CCONJ
cana-1657	34	15	velocity	velocity	NOUN
cana-1657	34	16	fields	field	NOUN
cana-1657	34	17	during	during	ADP
cana-1657	34	18	peristaltic	peristaltic	ADJ
cana-1657	34	19	motion	motion	NOUN
cana-1657	34	20	of	of	ADP
cana-1657	34	21	a	a	DET
cana-1657	34	22	third	third	ADJ
cana-1657	34	23	-	-	PUNCT
cana-1657	34	24	grade	grade	NOUN
cana-1657	34	25	fluid	fluid	NOUN
cana-1657	34	26	,	,	PUNCT
cana-1657	34	27	choudhari	choudhari	VERB
cana-1657	34	28	et	et	PROPN
cana-1657	34	29	al	al	PROPN
cana-1657	34	30	.	.	PUNCT
cana-1657	35	1	[	[	X
cana-1657	35	2	9	9	NUM
cana-1657	35	3	]	]	PUNCT
cana-1657	35	4	found	find	VERB
cana-1657	35	5	that	that	SCONJ
cana-1657	35	6	these	these	DET
cana-1657	35	7	fields	field	NOUN
cana-1657	35	8	were	be	AUX
cana-1657	35	9	less	less	ADV
cana-1657	35	10	affected	affected	ADJ
cana-1657	35	11	.	.	PUNCT
cana-1657	36	1	in	in	ADP
cana-1657	36	2	an	an	DET
cana-1657	36	3	unsteady	unsteady	ADJ
cana-1657	36	4	mhd	mhd	NOUN
cana-1657	36	5	free	free	ADJ
cana-1657	36	6	stream	stream	NOUN
cana-1657	36	7	flow	flow	NOUN
cana-1657	36	8	across	across	ADP
cana-1657	36	9	a	a	DET
cana-1657	36	10	stretched	stretched	ADJ
cana-1657	36	11	sheet	sheet	NOUN
cana-1657	36	12	,	,	PUNCT
cana-1657	36	13	taneja	taneja	NOUN
cana-1657	36	14	et	et	PROPN
cana-1657	36	15	al	al	PROPN
cana-1657	36	16	.	.	PUNCT
cana-1657	37	1	[	[	X
cana-1657	37	2	10	10	NUM
cana-1657	37	3	]	]	PUNCT
cana-1657	37	4	investigated	investigate	VERB
cana-1657	37	5	the	the	DET
cana-1657	37	6	effects	effect	NOUN
cana-1657	37	7	of	of	ADP
cana-1657	37	8	varying	vary	VERB
cana-1657	37	9	fluid	fluid	ADJ
cana-1657	37	10	viscosity	viscosity	NOUN
cana-1657	37	11	and	and	CCONJ
cana-1657	37	12	thermal	thermal	ADJ
cana-1657	37	13	diffusivity	diffusivity	NOUN
cana-1657	37	14	on	on	ADP
cana-1657	37	15	heat	heat	NOUN
cana-1657	37	16	and	and	CCONJ
cana-1657	37	17	flow	flow	NOUN
cana-1657	37	18	behavior	behavior	NOUN
cana-1657	37	19	,	,	PUNCT
cana-1657	37	20	emphasizing	emphasize	VERB
cana-1657	37	21	the	the	DET
cana-1657	37	22	transition	transition	NOUN
cana-1657	37	23	points	point	NOUN
cana-1657	37	24	in	in	ADP
cana-1657	37	25	velocity	velocity	NOUN
cana-1657	37	26	profiles	profile	NOUN
cana-1657	37	27	and	and	CCONJ
cana-1657	37	28	the	the	DET
cana-1657	37	29	impact	impact	NOUN
cana-1657	37	30	of	of	ADP
cana-1657	37	31	magnetic	magnetic	ADJ
cana-1657	37	32	fields	field	NOUN
cana-1657	37	33	.	.	PUNCT
cana-1657	38	1	the	the	DET
cana-1657	38	2	constant	constant	ADJ
cana-1657	38	3	three	three	NUM
cana-1657	38	4	-	-	PUNCT
cana-1657	38	5	dimensional	dimensional	ADJ
cana-1657	38	6	flow	flow	NOUN
cana-1657	38	7	and	and	CCONJ
cana-1657	38	8	heat	heat	NOUN
cana-1657	38	9	transmission	transmission	NOUN
cana-1657	38	10	of	of	ADP
cana-1657	38	11	three	three	NUM
cana-1657	38	12	different	different	ADJ
cana-1657	38	13	kinds	kind	NOUN
cana-1657	38	14	of	of	ADP
cana-1657	38	15	water	water	NOUN
cana-1657	38	16	-	-	PUNCT
cana-1657	38	17	based	base	VERB
cana-1657	38	18	nanoparticles	nanoparticle	NOUN
cana-1657	38	19	copper	copper	NOUN
cana-1657	38	20	(	(	PUNCT
cana-1657	38	21	cu	cu	PROPN
cana-1657	38	22	)	)	PUNCT
cana-1657	38	23	,	,	PUNCT
cana-1657	38	24	aluminum	aluminum	NOUN
cana-1657	38	25	oxide	oxide	NOUN
cana-1657	38	26	(	(	PUNCT
cana-1657	38	27	al2o3	al2o3	NOUN
cana-1657	38	28	)	)	PUNCT
cana-1657	38	29	,	,	PUNCT
cana-1657	38	30	and	and	CCONJ
cana-1657	38	31	titanium	titanium	NOUN
cana-1657	38	32	dioxide	dioxide	NOUN
cana-1657	38	33	(	(	PUNCT
cana-1657	38	34	tio2	tio2	NOUN
cana-1657	38	35	)	)	PUNCT
cana-1657	38	36	due	due	ADP
cana-1657	38	37	to	to	ADP
cana-1657	38	38	stretching	stretch	VERB
cana-1657	38	39	sheets	sheet	NOUN
cana-1657	38	40	in	in	ADP
cana-1657	38	41	the	the	DET
cana-1657	38	42	presence	presence	NOUN
cana-1657	38	43	of	of	ADP
cana-1657	38	44	heat	heat	NOUN
cana-1657	38	45	sources	source	NOUN
cana-1657	38	46	and	and	CCONJ
cana-1657	38	47	magnetic	magnetic	ADJ
cana-1657	38	48	fields	field	NOUN
cana-1657	38	49	were	be	AUX
cana-1657	38	50	studied	study	VERB
cana-1657	38	51	by	by	ADP
cana-1657	38	52	tarakaramu	tarakaramu	PROPN
cana-1657	38	53	et	et	PROPN
cana-1657	38	54	al	al	PROPN
cana-1657	38	55	.	.	PUNCT
cana-1657	39	1	[	[	X
cana-1657	39	2	11	11	NUM
cana-1657	39	3	]	]	PUNCT
cana-1657	39	4	.	.	PUNCT
cana-1657	40	1	the	the	DET
cana-1657	40	2	study	study	NOUN
cana-1657	40	3	by	by	ADP
cana-1657	40	4	c	c	PROPN
cana-1657	40	5	et	et	PROPN
cana-1657	40	6	al	al	PROPN
cana-1657	40	7	.	.	PUNCT
cana-1657	41	1	[	[	X
cana-1657	41	2	12	12	NUM
cana-1657	41	3	]	]	PUNCT
cana-1657	41	4	explores	explore	VERB
cana-1657	41	5	the	the	DET
cana-1657	41	6	analysis	analysis	NOUN
cana-1657	41	7	of	of	ADP
cana-1657	41	8	magneto	magneto	ADJ
cana-1657	41	9	hydrodynamic	hydrodynamic	ADJ
cana-1657	41	10	boundary	boundary	ADJ
cana-1657	41	11	layer	layer	NOUN
cana-1657	41	12	flow	flow	NOUN
cana-1657	41	13	with	with	ADP
cana-1657	41	14	heat	heat	NOUN
cana-1657	41	15	and	and	CCONJ
cana-1657	41	16	mass	mass	NOUN
cana-1657	41	17	transfer	transfer	NOUN
cana-1657	41	18	of	of	ADP
cana-1657	41	19	williamson	williamson	PROPN
cana-1657	41	20	nanofluid	nanofluid	PROPN
cana-1657	41	21	over	over	ADP
cana-1657	41	22	a	a	DET
cana-1657	41	23	stretched	stretch	VERB
cana-1657	41	24	sheet	sheet	NOUN
cana-1657	41	25	featuring	feature	VERB
cana-1657	41	26	variable	variable	ADJ
cana-1657	41	27	thickness	thickness	NOUN
cana-1657	41	28	and	and	CCONJ
cana-1657	41	29	variable	variable	ADJ
cana-1657	41	30	thermal	thermal	ADJ
cana-1657	41	31	conductivity	conductivity	NOUN
cana-1657	41	32	.	.	PUNCT
cana-1657	42	1	nanofluids	nanofluid	NOUN
cana-1657	42	2	with	with	ADP
cana-1657	42	3	mass	mass	ADJ
cana-1657	42	4	fractions	fraction	NOUN
cana-1657	42	5	of	of	ADP
cana-1657	42	6	0.1	0.1	NUM
cana-1657	42	7	%	%	NOUN
cana-1657	42	8	,	,	PUNCT
cana-1657	42	9	0.3	0.3	NUM
cana-1657	42	10	%	%	NOUN
cana-1657	42	11	,	,	PUNCT
cana-1657	42	12	and	and	CCONJ
cana-1657	42	13	0.5	0.5	NUM
cana-1657	42	14	%	%	NOUN
cana-1657	42	15	were	be	AUX
cana-1657	42	16	produced	produce	VERB
cana-1657	42	17	by	by	ADP
cana-1657	42	18	sun	sun	PROPN
cana-1657	42	19	et	et	NOUN
cana-1657	42	20	al.[13	al.[13	NOUN
cana-1657	42	21	]	]	PUNCT
cana-1657	43	1	researchers	researcher	NOUN
cana-1657	43	2	using	use	VERB
cana-1657	43	3	nanoparticles	nanoparticle	NOUN
cana-1657	43	4	(	(	PUNCT
cana-1657	43	5	cu	cu	PROPN
cana-1657	43	6	,	,	PUNCT
cana-1657	43	7	fe2o3	fe2o3	PROPN
cana-1657	43	8	,	,	PUNCT
cana-1657	43	9	and	and	CCONJ
cana-1657	43	10	al2o3	al2o3	NOUN
cana-1657	43	11	)	)	PUNCT
cana-1657	43	12	with	with	ADP
cana-1657	43	13	average	average	ADJ
cana-1657	43	14	particle	particle	NOUN
cana-1657	43	15	sizes	size	NOUN
cana-1657	43	16	of	of	ADP
cana-1657	43	17	50	50	NUM
cana-1657	43	18	nm	nm	NOUN
cana-1657	43	19	.	.	PUNCT
cana-1657	44	1	they	they	PRON
cana-1657	44	2	employed	employ	VERB
cana-1657	44	3	different	different	ADJ
cana-1657	44	4	concentrations	concentration	NOUN
cana-1657	44	5	of	of	ADP
cana-1657	44	6	dispersants	dispersant	NOUN
cana-1657	44	7	,	,	PUNCT
cana-1657	44	8	such	such	ADJ
cana-1657	44	9	as	as	ADP
cana-1657	44	10	sodium	sodium	NOUN
cana-1657	44	11	dodecyl	dodecyl	PROPN
cana-1657	44	12	benzene	benzene	NOUN
cana-1657	44	13	sulfonate	sulfonate	NOUN
cana-1657	44	14	(	(	PUNCT
cana-1657	44	15	sdbs	sdbs	PROPN
cana-1657	44	16	)	)	PUNCT
cana-1657	44	17	,	,	PUNCT
cana-1657	44	18	to	to	PART
cana-1657	44	19	increase	increase	VERB
cana-1657	44	20	the	the	DET
cana-1657	44	21	stability	stability	NOUN
cana-1657	44	22	of	of	ADP
cana-1657	44	23	the	the	DET
cana-1657	44	24	nanofluids	nanofluid	NOUN
cana-1657	44	25	.	.	PUNCT
cana-1657	45	1	additionally	additionally	ADV
cana-1657	45	2	,	,	PUNCT
cana-1657	45	3	they	they	PRON
cana-1657	45	4	looked	look	VERB
cana-1657	45	5	at	at	ADP
cana-1657	45	6	the	the	DET
cana-1657	45	7	nanofluids	nanofluid	NOUN
cana-1657	45	8	'	'	PART
cana-1657	45	9	capacity	capacity	NOUN
cana-1657	45	10	for	for	ADP
cana-1657	45	11	convective	convective	ADJ
cana-1657	45	12	and	and	CCONJ
cana-1657	45	13	flow	flow	NOUN
cana-1657	45	14	heat	heat	NOUN
cana-1657	45	15	transfer	transfer	NOUN
cana-1657	45	16	in	in	ADP
cana-1657	45	17	a	a	DET
cana-1657	45	18	plate	plate	NOUN
cana-1657	45	19	heat	heat	NOUN
cana-1657	45	20	exchanger	exchanger	NOUN
cana-1657	45	21	.	.	PUNCT
cana-1657	46	1	sheikholeslami	sheikholeslami	NOUN
cana-1657	46	2	and	and	CCONJ
cana-1657	46	3	rokni	rokni	VERB
cana-1657	46	4	[	[	X
cana-1657	46	5	14	14	NUM
cana-1657	46	6	]	]	PUNCT
cana-1657	46	7	investigated	investigate	VERB
cana-1657	46	8	the	the	DET
cana-1657	46	9	laminar	laminar	ADJ
cana-1657	46	10	nanofluid	nanofluid	ADJ
cana-1657	46	11	heat	heat	NOUN
cana-1657	46	12	and	and	CCONJ
cana-1657	46	13	mass	mass	NOUN
cana-1657	46	14	transfer	transfer	NOUN
cana-1657	46	15	between	between	ADP
cana-1657	46	16	two	two	NUM
cana-1657	46	17	contracting	contracting	NOUN
cana-1657	46	18	and	and	CCONJ
cana-1657	46	19	revolving	revolving	NOUN
cana-1657	46	20	surfaces	surface	NOUN
cana-1657	46	21	.	.	PUNCT
cana-1657	47	1	the	the	DET
cana-1657	47	2	buongiorno	buongiorno	PROPN
cana-1657	47	3	model	model	NOUN
cana-1657	47	4	is	be	AUX
cana-1657	47	5	employed	employ	VERB
cana-1657	47	6	to	to	ADP
cana-1657	47	7	model	model	NOUN
cana-1657	47	8	nanofluids	nanofluid	NOUN
cana-1657	47	9	.	.	PUNCT
cana-1657	48	1	prasannakumara	prasannakumara	NOUN
cana-1657	48	2	et	et	PROPN
cana-1657	48	3	al	al	PROPN
cana-1657	48	4	.	.	PUNCT
cana-1657	49	1	[	[	X
cana-1657	49	2	15	15	NUM
cana-1657	49	3	]	]	PUNCT
cana-1657	49	4	have	have	AUX
cana-1657	49	5	studied	study	VERB
cana-1657	49	6	the	the	DET
cana-1657	49	7	similar	similar	ADJ
cana-1657	49	8	and	and	CCONJ
cana-1657	49	9	different	different	ADJ
cana-1657	49	10	chemical	chemical	NOUN
cana-1657	49	11	processes	process	NOUN
cana-1657	49	12	that	that	PRON
cana-1657	49	13	affect	affect	VERB
cana-1657	49	14	the	the	DET
cana-1657	49	15	movement	movement	NOUN
cana-1657	49	16	of	of	ADP
cana-1657	49	17	a	a	DET
cana-1657	49	18	three	three	NUM
cana-1657	49	19	-	-	PUNCT
cana-1657	49	20	dimensional	dimensional	ADJ
cana-1657	49	21	electrically	electrically	ADV
cana-1657	49	22	conducting	conduct	VERB
cana-1657	49	23	flux	flux	NOUN
cana-1657	49	24	that	that	PRON
cana-1657	49	25	contains	contain	VERB
cana-1657	49	26	titan	titan	NOUN
cana-1657	49	27	dioxide	dioxide	NOUN
cana-1657	49	28	and	and	CCONJ
cana-1657	49	29	a	a	DET
cana-1657	49	30	communications	communication	NOUN
cana-1657	49	31	on	on	ADP
cana-1657	49	32	applied	apply	VERB
cana-1657	49	33	nonlinear	nonlinear	ADJ
cana-1657	49	34	analysis	analysis	NOUN
cana-1657	49	35	issn	issn	NOUN
cana-1657	49	36	:	:	PUNCT
cana-1657	49	37	1074	1074	NUM
cana-1657	49	38	-	-	PUNCT
cana-1657	49	39	133x	133x	NUM
cana-1657	49	40	vol	vol	NOUN
cana-1657	49	41	32	32	NUM
cana-1657	49	42	no	no	NOUN
cana-1657	49	43	.	.	NOUN
cana-1657	49	44	1	1	NUM
cana-1657	49	45	(	(	PUNCT
cana-1657	49	46	2025	2025	NUM
cana-1657	49	47	)	)	PUNCT
cana-1657	49	48	362	362	NUM
cana-1657	49	49	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	49	50	nanofluid	nanofluid	NOUN
cana-1657	49	51	based	base	VERB
cana-1657	49	52	on	on	ADP
cana-1657	49	53	ethylene	ethylene	NOUN
cana-1657	49	54	glycol	glycol	NOUN
cana-1657	49	55	as	as	SCONJ
cana-1657	49	56	it	it	PRON
cana-1657	49	57	passes	pass	VERB
cana-1657	49	58	through	through	ADP
cana-1657	49	59	a	a	DET
cana-1657	49	60	tendue	tendue	NOUN
cana-1657	49	61	containing	contain	VERB
cana-1657	49	62	np	np	ADP
cana-1657	49	63	aggregates	aggregate	NOUN
cana-1657	49	64	.	.	PUNCT
cana-1657	50	1	alhazmi	alhazmi	PROPN
cana-1657	50	2	&	&	CCONJ
cana-1657	50	3	ahmed	ahme	VERB
cana-1657	51	1	[	[	X
cana-1657	51	2	16	16	NUM
cana-1657	51	3	]	]	PUNCT
cana-1657	51	4	used	use	VERB
cana-1657	51	5	the	the	DET
cana-1657	51	6	cattaneo	cattaneo	NOUN
cana-1657	51	7	–	–	PUNCT
cana-1657	51	8	christov	christov	ADJ
cana-1657	51	9	double	double	ADJ
cana-1657	51	10	-	-	PUNCT
cana-1657	51	11	diffusion	diffusion	NOUN
cana-1657	51	12	theory	theory	NOUN
cana-1657	51	13	approach	approach	NOUN
cana-1657	51	14	to	to	PART
cana-1657	51	15	study	study	VERB
cana-1657	51	16	the	the	DET
cana-1657	51	17	3dimensional	3dimensional	PROPN
cana-1657	51	18	(	(	PUNCT
cana-1657	51	19	3d	3d	NOUN
cana-1657	51	20	)	)	PUNCT
cana-1657	51	21	induced	induce	VERB
cana-1657	51	22	flow	flow	NOUN
cana-1657	51	23	of	of	ADP
cana-1657	51	24	second	second	ADJ
cana-1657	51	25	-	-	PUNCT
cana-1657	51	26	grade	grade	NOUN
cana-1657	51	27	viscous	viscous	ADJ
cana-1657	51	28	nanofluids	nanofluid	NOUN
cana-1657	51	29	across	across	ADP
cana-1657	51	30	a	a	DET
cana-1657	51	31	permeable	permeable	ADJ
cana-1657	51	32	stretched	stretch	VERB
cana-1657	51	33	surface	surface	NOUN
cana-1657	51	34	.	.	PUNCT
cana-1657	52	1	the	the	DET
cana-1657	52	2	effects	effect	NOUN
cana-1657	52	3	of	of	ADP
cana-1657	52	4	maxwell	maxwell	PROPN
cana-1657	52	5	and	and	CCONJ
cana-1657	52	6	smoluchowski	smoluchowski	ADJ
cana-1657	52	7	temperature	temperature	NOUN
cana-1657	52	8	variations	variation	NOUN
cana-1657	52	9	on	on	ADP
cana-1657	52	10	the	the	DET
cana-1657	52	11	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1657	52	12	(	(	PUNCT
cana-1657	52	13	mhd	mhd	NOUN
cana-1657	52	14	)	)	PUNCT
cana-1657	52	15	debit	debit	NOUN
cana-1657	52	16	of	of	ADP
cana-1657	52	17	the	the	DET
cana-1657	52	18	hybrid	hybrid	ADJ
cana-1657	52	19	nanofluid	nanofluid	NOUN
cana-1657	52	20	on	on	ADP
cana-1657	52	21	a	a	DET
cana-1657	52	22	tilted	tilted	ADJ
cana-1657	52	23	surface	surface	NOUN
cana-1657	52	24	have	have	AUX
cana-1657	52	25	been	be	AUX
cana-1657	52	26	studied	study	VERB
cana-1657	52	27	by	by	ADP
cana-1657	52	28	rafique	rafique	PROPN
cana-1657	52	29	et	et	PROPN
cana-1657	52	30	al.[17	al.[17	PROPN
cana-1657	52	31	]	]	PUNCT
cana-1657	52	32	.	.	PUNCT
cana-1657	53	1	aziz	aziz	PROPN
cana-1657	53	2	et	et	PROPN
cana-1657	53	3	al	al	PROPN
cana-1657	53	4	.	.	PUNCT
cana-1657	54	1	[	[	X
cana-1657	54	2	18	18	NUM
cana-1657	54	3	]	]	PUNCT
cana-1657	54	4	have	have	AUX
cana-1657	54	5	qualitatively	qualitatively	ADV
cana-1657	54	6	examined	examine	VERB
cana-1657	54	7	the	the	DET
cana-1657	54	8	impact	impact	NOUN
cana-1657	54	9	of	of	ADP
cana-1657	54	10	various	various	ADJ
cana-1657	54	11	parameters	parameter	NOUN
cana-1657	54	12	on	on	ADP
cana-1657	54	13	the	the	DET
cana-1657	54	14	system	system	NOUN
cana-1657	54	15	's	's	PART
cana-1657	54	16	thermal	thermal	ADJ
cana-1657	54	17	performance	performance	NOUN
cana-1657	54	18	.	.	PUNCT
cana-1657	55	1	include	include	VERB
cana-1657	55	2	the	the	DET
cana-1657	55	3	effects	effect	NOUN
cana-1657	55	4	of	of	ADP
cana-1657	55	5	varied	varied	ADJ
cana-1657	55	6	thermal	thermal	ADJ
cana-1657	55	7	conduction	conduction	NOUN
cana-1657	55	8	and	and	CCONJ
cana-1657	55	9	variable	variable	ADJ
cana-1657	55	10	viscosity	viscosity	NOUN
cana-1657	55	11	on	on	ADP
cana-1657	55	12	the	the	DET
cana-1657	55	13	heat	heat	NOUN
cana-1657	55	14	-	-	PUNCT
cana-1657	55	15	transfer	transfer	NOUN
cana-1657	55	16	characteristics	characteristic	NOUN
cana-1657	55	17	and	and	CCONJ
cana-1657	55	18	flux	flux	NOUN
cana-1657	55	19	of	of	ADP
cana-1657	55	20	a	a	DET
cana-1657	55	21	power	power	NOUN
cana-1657	55	22	-	-	PUNCT
cana-1657	55	23	law	law	NOUN
cana-1657	55	24	type	type	NOUN
cana-1657	55	25	nanofluid	nanofluid	NOUN
cana-1657	55	26	.	.	PUNCT
cana-1657	56	1	the	the	DET
cana-1657	56	2	combined	combined	ADJ
cana-1657	56	3	effect	effect	NOUN
cana-1657	56	4	of	of	ADP
cana-1657	56	5	soret	soret	NOUN
cana-1657	56	6	and	and	CCONJ
cana-1657	56	7	dufour	dufour	PROPN
cana-1657	56	8	with	with	ADP
cana-1657	56	9	temperature	temperature	NOUN
cana-1657	56	10	-	-	PUNCT
cana-1657	56	11	dependent	dependent	ADJ
cana-1657	56	12	viscosity	viscosity	NOUN
cana-1657	56	13	,	,	PUNCT
cana-1657	56	14	as	as	ADV
cana-1657	56	15	well	well	ADV
cana-1657	56	16	as	as	ADP
cana-1657	56	17	radiation	radiation	NOUN
cana-1657	56	18	,	,	PUNCT
cana-1657	56	19	chemical	chemical	NOUN
cana-1657	56	20	reaction	reaction	NOUN
cana-1657	56	21	,	,	PUNCT
cana-1657	56	22	and	and	CCONJ
cana-1657	56	23	porosity	porosity	NOUN
cana-1657	56	24	,	,	PUNCT
cana-1657	56	25	were	be	AUX
cana-1657	56	26	studied	study	VERB
cana-1657	56	27	by	by	ADP
cana-1657	56	28	mishra	mishra	PROPN
cana-1657	56	29	et	et	PROPN
cana-1657	56	30	al	al	PROPN
cana-1657	56	31	.	.	PUNCT
cana-1657	57	1	[	[	X
cana-1657	57	2	19	19	NUM
cana-1657	57	3	]	]	PUNCT
cana-1657	57	4	on	on	ADP
cana-1657	57	5	inclined	inclined	ADJ
cana-1657	57	6	composite	composite	ADJ
cana-1657	57	7	stenosis	stenosis	NOUN
cana-1657	57	8	.	.	PUNCT
cana-1657	58	1	rehman	rehman	NOUN
cana-1657	58	2	et	et	PROPN
cana-1657	58	3	al	al	PROPN
cana-1657	58	4	.	.	PUNCT
cana-1657	59	1	[	[	X
cana-1657	59	2	20	20	NUM
cana-1657	59	3	]	]	PUNCT
cana-1657	59	4	investigated	investigate	VERB
cana-1657	59	5	the	the	DET
cana-1657	59	6	effects	effect	NOUN
cana-1657	59	7	of	of	ADP
cana-1657	59	8	varying	vary	VERB
cana-1657	59	9	viscosity	viscosity	NOUN
cana-1657	59	10	in	in	ADP
cana-1657	59	11	an	an	DET
cana-1657	59	12	infinite	infinite	ADJ
cana-1657	59	13	disc	disc	NOUN
cana-1657	59	14	and	and	CCONJ
cana-1657	59	15	marangoni	marangoni	NOUN
cana-1657	59	16	(	(	PUNCT
cana-1657	59	17	mc	mc	NOUN
cana-1657	59	18	)	)	PUNCT
cana-1657	59	19	convection	convection	NOUN
cana-1657	59	20	in	in	ADP
cana-1657	59	21	the	the	DET
cana-1657	59	22	engine	engine	NOUN
cana-1657	59	23	oil	oil	NOUN
cana-1657	59	24	as	as	ADP
cana-1657	59	25	a	a	DET
cana-1657	59	26	base	base	ADJ
cana-1657	59	27	fluid	fluid	NOUN
cana-1657	59	28	with	with	ADP
cana-1657	59	29	viscosity	viscosity	NOUN
cana-1657	59	30	dissipation	dissipation	NOUN
cana-1657	59	31	.	.	PUNCT
cana-1657	60	1	the	the	DET
cana-1657	60	2	flow	flow	NOUN
cana-1657	60	3	system	system	NOUN
cana-1657	60	4	takes	take	VERB
cana-1657	60	5	into	into	ADP
cana-1657	60	6	account	account	NOUN
cana-1657	60	7	the	the	DET
cana-1657	60	8	effects	effect	NOUN
cana-1657	60	9	of	of	ADP
cana-1657	60	10	the	the	DET
cana-1657	60	11	changeable	changeable	ADJ
cana-1657	60	12	viscosity	viscosity	NOUN
cana-1657	60	13	,	,	PUNCT
cana-1657	60	14	the	the	DET
cana-1657	60	15	convective	convective	ADJ
cana-1657	60	16	boundary	boundary	ADJ
cana-1657	60	17	conditions	condition	NOUN
cana-1657	60	18	,	,	PUNCT
cana-1657	60	19	and	and	CCONJ
cana-1657	60	20	the	the	DET
cana-1657	60	21	viscosity	viscosity	NOUN
cana-1657	60	22	dispersion	dispersion	NOUN
cana-1657	60	23	.	.	PUNCT
cana-1657	61	1	ali	ali	PROPN
cana-1657	61	2	et	et	PROPN
cana-1657	61	3	al	al	PROPN
cana-1657	61	4	.	.	PUNCT
cana-1657	62	1	[	[	X
cana-1657	62	2	21	21	NUM
cana-1657	62	3	]	]	PUNCT
cana-1657	62	4	investigated	investigate	VERB
cana-1657	62	5	the	the	DET
cana-1657	62	6	temperature	temperature	NOUN
cana-1657	62	7	-	-	PUNCT
cana-1657	62	8	dependent	dependent	ADJ
cana-1657	62	9	viscosity	viscosity	NOUN
cana-1657	62	10	's	's	PART
cana-1657	62	11	effect	effect	NOUN
cana-1657	62	12	on	on	ADP
cana-1657	62	13	the	the	DET
cana-1657	62	14	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1657	62	15	boundary	boundary	ADJ
cana-1657	62	16	layer	layer	NOUN
cana-1657	62	17	-	-	PUNCT
cana-1657	62	18	nanofluid	nanofluid	NOUN
cana-1657	62	19	flow	flow	NOUN
cana-1657	62	20	with	with	ADP
cana-1657	62	21	double	double	ADJ
cana-1657	62	22	stratification	stratification	NOUN
cana-1657	62	23	using	use	VERB
cana-1657	62	24	the	the	DET
cana-1657	62	25	cattaneochristov	cattaneochristov	NOUN
cana-1657	62	26	heat	heat	NOUN
cana-1657	62	27	flux	flux	NOUN
cana-1657	62	28	models	model	NOUN
cana-1657	62	29	.	.	PUNCT
cana-1657	63	1	in	in	ADP
cana-1657	63	2	his	his	PRON
cana-1657	63	3	research	research	NOUN
cana-1657	63	4	,	,	PUNCT
cana-1657	63	5	basha	basha	PROPN
cana-1657	64	1	[	[	X
cana-1657	64	2	22	22	NUM
cana-1657	64	3	]	]	PUNCT
cana-1657	64	4	investigated	investigate	VERB
cana-1657	64	5	an	an	DET
cana-1657	64	6	interface	interface	NOUN
cana-1657	64	7	that	that	PRON
cana-1657	64	8	might	might	AUX
cana-1657	64	9	be	be	AUX
cana-1657	64	10	expanded	expand	VERB
cana-1657	64	11	in	in	ADP
cana-1657	64	12	two	two	NUM
cana-1657	64	13	ways	way	NOUN
cana-1657	64	14	.	.	PUNCT
cana-1657	65	1	one	one	NUM
cana-1657	65	2	is	be	AUX
cana-1657	65	3	persuaded	persuade	VERB
cana-1657	65	4	to	to	PART
cana-1657	65	5	assume	assume	VERB
cana-1657	65	6	that	that	SCONJ
cana-1657	65	7	nanoparticles	nanoparticle	NOUN
cana-1657	65	8	have	have	VERB
cana-1657	65	9	an	an	DET
cana-1657	65	10	undetected	undetected	ADJ
cana-1657	65	11	mass	mass	NOUN
cana-1657	65	12	flux	flux	NOUN
cana-1657	65	13	.	.	PUNCT
cana-1657	66	1	in	in	ADP
cana-1657	66	2	addition	addition	NOUN
cana-1657	66	3	,	,	PUNCT
cana-1657	66	4	the	the	DET
cana-1657	66	5	flow	flow	NOUN
cana-1657	66	6	model	model	NOUN
cana-1657	66	7	accounts	account	VERB
cana-1657	66	8	for	for	ADP
cana-1657	66	9	a	a	DET
cana-1657	66	10	source	source	NOUN
cana-1657	66	11	of	of	ADP
cana-1657	66	12	heat	heat	NOUN
cana-1657	66	13	generation	generation	NOUN
cana-1657	66	14	or	or	CCONJ
cana-1657	66	15	absorption	absorption	NOUN
cana-1657	66	16	and	and	CCONJ
cana-1657	66	17	slip	slip	VERB
cana-1657	66	18	conditions	condition	NOUN
cana-1657	66	19	at	at	ADP
cana-1657	66	20	speed	speed	NOUN
cana-1657	66	21	.	.	PUNCT
cana-1657	67	1	the	the	DET
cana-1657	67	2	above	above	ADJ
cana-1657	67	3	mentioned	mention	VERB
cana-1657	67	4	literature	literature	NOUN
cana-1657	67	5	only	only	ADV
cana-1657	67	6	focuses	focus	VERB
cana-1657	67	7	on	on	ADP
cana-1657	67	8	investigations	investigation	NOUN
cana-1657	67	9	.	.	PUNCT
cana-1657	68	1	in	in	ADP
cana-1657	68	2	this	this	DET
cana-1657	68	3	process	process	NOUN
cana-1657	68	4	,	,	PUNCT
cana-1657	68	5	the	the	DET
cana-1657	68	6	effect	effect	NOUN
cana-1657	68	7	of	of	ADP
cana-1657	68	8	temperature	temperature	NOUN
cana-1657	68	9	-	-	PUNCT
cana-1657	68	10	dependent	dependent	ADJ
cana-1657	68	11	viscosity	viscosity	NOUN
cana-1657	68	12	on	on	ADP
cana-1657	68	13	the	the	DET
cana-1657	68	14	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1657	68	15	boundary	boundary	ADJ
cana-1657	68	16	layer	layer	NOUN
cana-1657	68	17	flow	flow	NOUN
cana-1657	68	18	is	be	AUX
cana-1657	68	19	investigated	investigate	VERB
cana-1657	68	20	in	in	ADP
cana-1657	68	21	order	order	NOUN
cana-1657	68	22	to	to	PART
cana-1657	68	23	analyze	analyze	VERB
cana-1657	68	24	the	the	DET
cana-1657	68	25	heat	heat	NOUN
cana-1657	68	26	transfer	transfer	NOUN
cana-1657	68	27	with	with	ADP
cana-1657	68	28	double	double	ADJ
cana-1657	68	29	stratification	stratification	NOUN
cana-1657	68	30	through	through	ADP
cana-1657	68	31	a	a	DET
cana-1657	68	32	stretching	stretching	NOUN
cana-1657	68	33	-	-	PUNCT
cana-1657	68	34	sheet	sheet	NOUN
cana-1657	68	35	in	in	ADP
cana-1657	68	36	williamson	williamson	PROPN
cana-1657	68	37	nanofluids	nanofluids	PROPN
cana-1657	68	38	.	.	PUNCT
cana-1657	69	1	considering	consider	VERB
cana-1657	69	2	the	the	DET
cana-1657	69	3	thermal	thermal	ADJ
cana-1657	69	4	radiation	radiation	NOUN
cana-1657	69	5	and	and	CCONJ
cana-1657	69	6	hall	hall	PROPN
cana-1657	69	7	current	current	NOUN
cana-1657	69	8	and	and	CCONJ
cana-1657	69	9	this	this	DET
cana-1657	69	10	model	model	NOUN
cana-1657	69	11	is	be	AUX
cana-1657	69	12	significant	significant	ADJ
cana-1657	69	13	because	because	SCONJ
cana-1657	69	14	it	it	PRON
cana-1657	69	15	allows	allow	VERB
cana-1657	69	16	for	for	ADP
cana-1657	69	17	a	a	DET
cana-1657	69	18	more	more	ADV
cana-1657	69	19	accurate	accurate	ADJ
cana-1657	69	20	estimation	estimation	NOUN
cana-1657	69	21	of	of	ADP
cana-1657	69	22	temperature	temperature	NOUN
cana-1657	69	23	distribution	distribution	NOUN
cana-1657	69	24	.	.	PUNCT
cana-1657	70	1	it	it	PRON
cana-1657	70	2	is	be	AUX
cana-1657	70	3	assumed	assume	VERB
cana-1657	70	4	that	that	SCONJ
cana-1657	70	5	the	the	DET
cana-1657	70	6	viscosity	viscosity	NOUN
cana-1657	70	7	of	of	ADP
cana-1657	70	8	the	the	DET
cana-1657	70	9	fluid	fluid	ADJ
cana-1657	70	10	decreases	decrease	NOUN
cana-1657	70	11	as	as	ADP
cana-1657	70	12	temperature	temperature	NOUN
cana-1657	70	13	increases	increase	NOUN
cana-1657	70	14	.	.	PUNCT
cana-1657	71	1	a	a	DET
cana-1657	71	2	reynolds	reynolds	PROPN
cana-1657	71	3	exponential	exponential	ADJ
cana-1657	71	4	viscosity	viscosity	NOUN
cana-1657	71	5	model	model	NOUN
cana-1657	71	6	was	be	AUX
cana-1657	71	7	considered	consider	VERB
cana-1657	71	8	in	in	ADP
cana-1657	71	9	light	light	NOUN
cana-1657	71	10	of	of	ADP
cana-1657	71	11	this	this	DET
cana-1657	71	12	framework	framework	NOUN
cana-1657	71	13	.	.	PUNCT
cana-1657	72	1	in	in	ADP
cana-1657	72	2	order	order	NOUN
cana-1657	72	3	to	to	PART
cana-1657	72	4	solve	solve	VERB
cana-1657	72	5	converted	convert	VERB
cana-1657	72	6	assembly	assembly	NOUN
cana-1657	72	7	equations	equation	NOUN
cana-1657	72	8	,	,	PUNCT
cana-1657	72	9	the	the	DET
cana-1657	72	10	rk-4th	rk-4th	ADJ
cana-1657	72	11	order	order	NOUN
cana-1657	72	12	method	method	NOUN
cana-1657	72	13	was	be	AUX
cana-1657	72	14	applied	apply	VERB
cana-1657	72	15	.	.	PUNCT
cana-1657	73	1	matlab	matlab	PROPN
cana-1657	73	2	software	software	PROPN
cana-1657	73	3	was	be	AUX
cana-1657	73	4	used	use	VERB
cana-1657	73	5	for	for	ADP
cana-1657	73	6	programming	programming	NOUN
cana-1657	73	7	in	in	ADP
cana-1657	73	8	this	this	DET
cana-1657	73	9	instance	instance	NOUN
cana-1657	73	10	.	.	PUNCT
cana-1657	74	1	the	the	DET
cana-1657	74	2	goal	goal	NOUN
cana-1657	74	3	of	of	ADP
cana-1657	74	4	this	this	DET
cana-1657	74	5	study	study	NOUN
cana-1657	74	6	is	be	AUX
cana-1657	74	7	to	to	PART
cana-1657	74	8	thoroughly	thoroughly	ADV
cana-1657	74	9	examine	examine	VERB
cana-1657	74	10	how	how	SCONJ
cana-1657	74	11	various	various	ADJ
cana-1657	74	12	types	type	NOUN
cana-1657	74	13	of	of	ADP
cana-1657	74	14	parameters	parameter	NOUN
cana-1657	74	15	and	and	CCONJ
cana-1657	74	16	thermodynamic	thermodynamic	ADJ
cana-1657	74	17	conductivities	conductivity	NOUN
cana-1657	74	18	behave	behave	VERB
cana-1657	74	19	through	through	ADP
cana-1657	74	20	a	a	DET
cana-1657	74	21	detailed	detailed	ADJ
cana-1657	74	22	discussion	discussion	NOUN
cana-1657	74	23	.	.	PUNCT
cana-1657	75	1	additionally	additionally	ADV
cana-1657	75	2	,	,	PUNCT
cana-1657	75	3	a	a	DET
cana-1657	75	4	numerical	numerical	ADJ
cana-1657	75	5	evaluation	evaluation	NOUN
cana-1657	75	6	of	of	ADP
cana-1657	75	7	the	the	DET
cana-1657	75	8	current	current	ADJ
cana-1657	75	9	results	result	NOUN
cana-1657	75	10	is	be	AUX
cana-1657	75	11	shown	show	VERB
cana-1657	75	12	and	and	CCONJ
cana-1657	75	13	reflected	reflect	VERB
cana-1657	75	14	in	in	ADP
cana-1657	75	15	the	the	DET
cana-1657	75	16	figures	figure	NOUN
cana-1657	75	17	.	.	PUNCT
cana-1657	76	1	the	the	DET
cana-1657	76	2	vast	vast	ADJ
cana-1657	76	3	range	range	NOUN
cana-1657	76	4	of	of	ADP
cana-1657	76	5	applications	application	NOUN
cana-1657	76	6	in	in	ADP
cana-1657	76	7	industrial	industrial	ADJ
cana-1657	76	8	and	and	CCONJ
cana-1657	76	9	technical	technical	ADJ
cana-1657	76	10	processes	process	NOUN
cana-1657	76	11	,	,	PUNCT
cana-1657	76	12	together	together	ADV
cana-1657	76	13	with	with	ADP
cana-1657	76	14	their	their	PRON
cana-1657	76	15	complicated	complicated	ADJ
cana-1657	76	16	character	character	NOUN
cana-1657	76	17	,	,	PUNCT
cana-1657	76	18	have	have	AUX
cana-1657	76	19	drawn	draw	VERB
cana-1657	76	20	substantial	substantial	ADJ
cana-1657	76	21	interest	interest	NOUN
cana-1657	76	22	to	to	ADP
cana-1657	76	23	the	the	DET
cana-1657	76	24	examination	examination	NOUN
cana-1657	76	25	of	of	ADP
cana-1657	76	26	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1657	76	27	(	(	PUNCT
cana-1657	76	28	mhd	mhd	NOUN
cana-1657	76	29	)	)	PUNCT
cana-1657	76	30	fluxes	flux	NOUN
cana-1657	76	31	,	,	PUNCT
cana-1657	76	32	especially	especially	ADV
cana-1657	76	33	those	those	PRON
cana-1657	76	34	using	use	VERB
cana-1657	76	35	non	non	ADJ
cana-1657	76	36	-	-	ADJ
cana-1657	76	37	newtonian	newtonian	ADJ
cana-1657	76	38	liquids	liquid	NOUN
cana-1657	76	39	like	like	ADP
cana-1657	76	40	williamson	williamson	PROPN
cana-1657	76	41	nanofluid	nanofluid	PROPN
cana-1657	76	42	.	.	PUNCT
cana-1657	77	1	when	when	SCONJ
cana-1657	77	2	variables	variable	NOUN
cana-1657	77	3	such	such	ADJ
cana-1657	77	4	varied	varied	ADJ
cana-1657	77	5	viscosity	viscosity	NOUN
cana-1657	77	6	,	,	PUNCT
cana-1657	77	7	dynamic	dynamic	ADJ
cana-1657	77	8	liquid	liquid	ADJ
cana-1657	77	9	properties	property	NOUN
cana-1657	77	10	,	,	PUNCT
cana-1657	77	11	and	and	CCONJ
cana-1657	77	12	chemical	chemical	NOUN
cana-1657	77	13	reactivity	reactivity	NOUN
cana-1657	77	14	are	be	AUX
cana-1657	77	15	taken	take	VERB
cana-1657	77	16	into	into	ADP
cana-1657	77	17	account	account	NOUN
cana-1657	77	18	,	,	PUNCT
cana-1657	77	19	the	the	DET
cana-1657	77	20	study	study	NOUN
cana-1657	77	21	significantly	significantly	ADV
cana-1657	77	22	gets	get	VERB
cana-1657	77	23	more	more	ADV
cana-1657	77	24	complex	complex	ADJ
cana-1657	77	25	.	.	PUNCT
cana-1657	78	1	we	we	PRON
cana-1657	78	2	cover	cover	VERB
cana-1657	78	3	here	here	ADV
cana-1657	78	4	the	the	DET
cana-1657	78	5	3d	3d	PROPN
cana-1657	78	6	mhd	mhd	NOUN
cana-1657	78	7	flow	flow	NOUN
cana-1657	78	8	of	of	ADP
cana-1657	78	9	chemically	chemically	ADV
cana-1657	78	10	reactive	reactive	ADJ
cana-1657	78	11	williamson	williamson	PROPN
cana-1657	78	12	nanofluid	nanofluid	PROPN
cana-1657	78	13	with	with	ADP
cana-1657	78	14	thermal	thermal	ADJ
cana-1657	78	15	radiation	radiation	NOUN
cana-1657	78	16	effect	effect	NOUN
cana-1657	78	17	,	,	PUNCT
cana-1657	78	18	which	which	PRON
cana-1657	78	19	also	also	ADV
cana-1657	78	20	show	show	VERB
cana-1657	78	21	variations	variation	NOUN
cana-1657	78	22	in	in	ADP
cana-1657	78	23	viscosity	viscosity	NOUN
cana-1657	78	24	and	and	CCONJ
cana-1657	78	25	liquid	liquid	ADJ
cana-1657	78	26	properties	property	NOUN
cana-1657	78	27	.	.	PUNCT
cana-1657	79	1	2	2	X
cana-1657	79	2	.	.	X
cana-1657	79	3	mathematical	mathematical	ADJ
cana-1657	79	4	formulation	formulation	NOUN
cana-1657	79	5	this	this	DET
cana-1657	79	6	study	study	NOUN
cana-1657	79	7	examined	examine	VERB
cana-1657	79	8	a	a	DET
cana-1657	79	9	steady	steady	ADJ
cana-1657	79	10	,	,	PUNCT
cana-1657	79	11	viscous	viscous	ADJ
cana-1657	79	12	,	,	PUNCT
cana-1657	79	13	and	and	CCONJ
cana-1657	79	14	incompressible	incompressible	ADJ
cana-1657	79	15	flow	flow	NOUN
cana-1657	79	16	of	of	ADP
cana-1657	79	17	nanofluid	nanofluid	NOUN
cana-1657	79	18	in	in	ADP
cana-1657	79	19	three	three	NUM
cana-1657	79	20	dimensions	dimension	NOUN
cana-1657	79	21	(	(	PUNCT
cana-1657	79	22	3d	3d	NOUN
cana-1657	79	23	)	)	PUNCT
cana-1657	79	24	under	under	ADP
cana-1657	79	25	the	the	DET
cana-1657	79	26	auspices	auspex	NOUN
cana-1657	79	27	of	of	ADP
cana-1657	79	28	the	the	DET
cana-1657	79	29	williamson	williamson	PROPN
cana-1657	79	30	model	model	NOUN
cana-1657	79	31	on	on	ADP
cana-1657	79	32	a	a	DET
cana-1657	79	33	bidirectional	bidirectional	ADJ
cana-1657	79	34	stretching	stretch	VERB
cana-1657	79	35	surface	surface	NOUN
cana-1657	79	36	subjected	subject	VERB
cana-1657	79	37	to	to	PART
cana-1657	79	38	slip	slip	VERB
cana-1657	79	39	conditions	condition	NOUN
cana-1657	79	40	in	in	ADP
cana-1657	79	41	terms	term	NOUN
cana-1657	79	42	of	of	ADP
cana-1657	79	43	velocity	velocity	NOUN
cana-1657	79	44	,	,	PUNCT
cana-1657	79	45	convection	convection	NOUN
cana-1657	79	46	conditions	condition	NOUN
cana-1657	79	47	in	in	ADP
cana-1657	79	48	terms	term	NOUN
cana-1657	79	49	of	of	ADP
cana-1657	79	50	thermal	thermal	ADJ
cana-1657	79	51	state	state	NOUN
cana-1657	79	52	,	,	PUNCT
cana-1657	79	53	and	and	CCONJ
cana-1657	79	54	flux	flux	NOUN
cana-1657	79	55	of	of	ADP
cana-1657	79	56	communications	communication	NOUN
cana-1657	79	57	on	on	ADP
cana-1657	79	58	applied	apply	VERB
cana-1657	79	59	nonlinear	nonlinear	ADJ
cana-1657	79	60	analysis	analysis	NOUN
cana-1657	79	61	issn	issn	NOUN
cana-1657	79	62	:	:	PUNCT
cana-1657	79	63	1074	1074	NUM
cana-1657	79	64	-	-	PUNCT
cana-1657	79	65	133x	133x	NUM
cana-1657	79	66	vol	vol	NOUN
cana-1657	79	67	32	32	NUM
cana-1657	79	68	no	no	NOUN
cana-1657	79	69	.	.	NOUN
cana-1657	79	70	1	1	NUM
cana-1657	79	71	(	(	PUNCT
cana-1657	79	72	2025	2025	NUM
cana-1657	79	73	)	)	PUNCT
cana-1657	79	74	363	363	NUM
cana-1657	79	75	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	79	76	nanoparticles	nanoparticle	VERB
cana-1657	79	77	conditions	condition	NOUN
cana-1657	79	78	in	in	ADP
cana-1657	79	79	terms	term	NOUN
cana-1657	79	80	of	of	ADP
cana-1657	79	81	particle	particle	NOUN
cana-1657	79	82	concentration	concentration	NOUN
cana-1657	79	83	.	.	PUNCT
cana-1657	80	1	the	the	DET
cana-1657	80	2	flow	flow	NOUN
cana-1657	80	3	's	's	PART
cana-1657	80	4	geometry	geometry	NOUN
cana-1657	80	5	is	be	AUX
cana-1657	80	6	restricted	restrict	VERB
cana-1657	80	7	to	to	ADP
cana-1657	80	8	𝑧	𝑧	PROPN
cana-1657	80	9	=	=	NOUN
cana-1657	80	10	0	0	NUM
cana-1657	80	11	,	,	PUNCT
cana-1657	80	12	and	and	CCONJ
cana-1657	80	13	it	it	PRON
cana-1657	80	14	occurs	occur	VERB
cana-1657	80	15	in	in	ADP
cana-1657	80	16	the	the	DET
cana-1657	80	17	domain	domain	NOUN
cana-1657	80	18	𝑧	𝑧	X
cana-1657	80	19	>	>	X
cana-1657	80	20	0	0	X
cana-1657	80	21	.	.	PUNCT
cana-1657	81	1	additionally	additionally	ADV
cana-1657	81	2	,	,	PUNCT
cana-1657	81	3	the	the	DET
cana-1657	81	4	cartesian	cartesian	ADJ
cana-1657	81	5	coordinate	coordinate	NOUN
cana-1657	81	6	system	system	NOUN
cana-1657	81	7	is	be	AUX
cana-1657	81	8	chosen	choose	VERB
cana-1657	81	9	so	so	SCONJ
cana-1657	81	10	that	that	SCONJ
cana-1657	81	11	the	the	DET
cana-1657	81	12	liquid	liquid	NOUN
cana-1657	81	13	is	be	AUX
cana-1657	81	14	occupied	occupy	VERB
cana-1657	81	15	at	at	ADP
cana-1657	81	16	𝑧	𝑧	DET
cana-1657	81	17	≥	≥	NOUN
cana-1657	81	18	0	0	NUM
cana-1657	81	19	and	and	CCONJ
cana-1657	81	20	the	the	DET
cana-1657	81	21	feather	feather	NOUN
cana-1657	81	22	is	be	AUX
cana-1657	81	23	associated	associate	VERB
cana-1657	81	24	with	with	ADP
cana-1657	81	25	the	the	DET
cana-1657	81	26	xyplane	xyplane	PROPN
cana-1657	81	27	(	(	PUNCT
cana-1657	81	28	see	see	VERB
cana-1657	81	29	fig	fig	NOUN
cana-1657	81	30	.	.	PUNCT
cana-1657	82	1	1	1	NUM
cana-1657	82	2	)	)	PUNCT
cana-1657	82	3	.	.	PUNCT
cana-1657	83	1	figure.1	figure.1	PROPN
cana-1657	83	2	physical	physical	ADJ
cana-1657	83	3	interpretation	interpretation	NOUN
cana-1657	83	4	of	of	ADP
cana-1657	83	5	the	the	DET
cana-1657	83	6	flow	flow	NOUN
cana-1657	83	7	in	in	ADP
cana-1657	83	8	the	the	DET
cana-1657	83	9	first	first	ADJ
cana-1657	83	10	-	-	PUNCT
cana-1657	83	11	order	order	NOUN
cana-1657	83	12	chemically	chemically	ADV
cana-1657	83	13	reactive	reactive	ADJ
cana-1657	83	14	nanofluid	nanofluid	PROPN
cana-1657	83	15	,	,	PUNCT
cana-1657	83	16	the	the	DET
cana-1657	83	17	influence	influence	NOUN
cana-1657	83	18	of	of	ADP
cana-1657	83	19	the	the	DET
cana-1657	83	20	thermal	thermal	ADJ
cana-1657	83	21	radiation	radiation	NOUN
cana-1657	83	22	and	and	CCONJ
cana-1657	83	23	also	also	ADV
cana-1657	83	24	referred	refer	VERB
cana-1657	83	25	heat	heat	NOUN
cana-1657	83	26	generation	generation	NOUN
cana-1657	83	27	or	or	CCONJ
cana-1657	83	28	absorption	absorption	NOUN
cana-1657	83	29	.	.	PUNCT
cana-1657	84	1	the	the	DET
cana-1657	84	2	liquid	liquid	NOUN
cana-1657	84	3	is	be	AUX
cana-1657	84	4	electrically	electrically	ADV
cana-1657	84	5	conducted	conduct	VERB
cana-1657	84	6	,	,	PUNCT
cana-1657	84	7	and	and	CCONJ
cana-1657	84	8	an	an	DET
cana-1657	84	9	applied	apply	VERB
cana-1657	84	10	magnetic	magnetic	ADJ
cana-1657	84	11	strength	strength	NOUN
cana-1657	84	12	bo	bo	PROPN
cana-1657	84	13	acts	act	VERB
cana-1657	84	14	transversely	transversely	ADV
cana-1657	84	15	to	to	ADP
cana-1657	84	16	the	the	DET
cana-1657	84	17	flow	flow	NOUN
cana-1657	84	18	in	in	ADP
cana-1657	84	19	the	the	DET
cana-1657	84	20	z	z	NOUN
cana-1657	84	21	-	-	PUNCT
cana-1657	84	22	a	a	DET
cana-1657	84	23	direction	direction	NOUN
cana-1657	84	24	.	.	PUNCT
cana-1657	85	1	the	the	DET
cana-1657	85	2	prevailing	prevail	VERB
cana-1657	85	3	equations	equation	NOUN
cana-1657	85	4	for	for	ADP
cana-1657	85	5	an	an	DET
cana-1657	85	6	incompressible	incompressible	ADJ
cana-1657	85	7	,	,	PUNCT
cana-1657	85	8	non	non	ADJ
cana-1657	85	9	-	-	ADJ
cana-1657	85	10	newtonian	newtonian	ADJ
cana-1657	85	11	williamson	williamson	PROPN
cana-1657	85	12	nanofluid	nanofluid	PROPN
cana-1657	85	13	are	be	AUX
cana-1657	85	14	typical	typical	ADJ
cana-1657	85	15	mass	mass	ADJ
cana-1657	85	16	conservation	conservation	NOUN
cana-1657	85	17	,	,	PUNCT
cana-1657	85	18	thermal	thermal	ADJ
cana-1657	85	19	energy	energy	NOUN
cana-1657	85	20	,	,	PUNCT
cana-1657	85	21	and	and	CCONJ
cana-1657	85	22	species	specie	NOUN
cana-1657	85	23	nanoparticle	nanoparticle	NOUN
cana-1657	85	24	equations	equation	NOUN
cana-1657	85	25	,	,	PUNCT
cana-1657	85	26	using	use	VERB
cana-1657	85	27	the	the	DET
cana-1657	85	28	customary	customary	ADJ
cana-1657	85	29	boundary	boundary	ADJ
cana-1657	85	30	layer	layer	NOUN
cana-1657	85	31	approximation	approximation	NOUN
cana-1657	85	32	:	:	PUNCT
cana-1657	85	33	𝑢𝑥	𝑢𝑥	ADP
cana-1657	85	34	+	+	ADV
cana-1657	85	35	𝑢𝑦	𝑢𝑦	PROPN
cana-1657	85	36	+	+	CCONJ
cana-1657	85	37	𝑢𝑧	𝑢𝑧	PROPN
cana-1657	85	38	=	=	SYM
cana-1657	85	39	0	0	NUM
cana-1657	85	40	(	(	PUNCT
cana-1657	85	41	1	1	NUM
cana-1657	85	42	)	)	PUNCT
cana-1657	85	43	𝑢𝑢𝑥	𝑢𝑢𝑥	NOUN
cana-1657	86	1	+	+	CCONJ
cana-1657	86	2	𝑣𝑢𝑦	𝑣𝑢𝑦	NOUN
cana-1657	86	3	+	+	CCONJ
cana-1657	86	4	𝑤𝑢𝑧	𝑤𝑢𝑧	NOUN
cana-1657	86	5	=	=	SYM
cana-1657	86	6	1	1	NUM
cana-1657	86	7	𝜌𝑓	𝜌𝑓	NUM
cana-1657	86	8	(	(	PUNCT
cana-1657	86	9	𝜕	𝜕	NOUN
cana-1657	86	10	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	86	11	𝜇(𝑇	𝜇(𝑇	NOUN
cana-1657	86	12	)	)	PUNCT
cana-1657	86	13	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	86	14	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	86	15	)	)	PUNCT
cana-1657	86	16	−	−	NOUN
cana-1657	87	1	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	87	2	2	2	NUM
cana-1657	87	3	𝜌𝑓	𝜌𝑓	NUM
cana-1657	87	4	𝑢	𝑢	NOUN
cana-1657	87	5	+	+	ADJ
cana-1657	87	6	√2𝜈γ	√2𝜈γ	X
cana-1657	87	7	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	87	8	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	87	9	𝜕2𝑢	𝜕2𝑢	PROPN
cana-1657	87	10	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1657	87	11	(	(	PUNCT
cana-1657	87	12	2	2	X
cana-1657	87	13	)	)	PUNCT
cana-1657	87	14	𝑢𝑣𝑥	𝑢𝑣𝑥	NOUN
cana-1657	87	15	+	+	NUM
cana-1657	87	16	𝑣𝑣𝑦	𝑣𝑣𝑦	NOUN
cana-1657	87	17	+	+	CCONJ
cana-1657	87	18	𝑤𝑣𝑧	𝑤𝑣𝑧	NOUN
cana-1657	87	19	=	=	SYM
cana-1657	87	20	1	1	NUM
cana-1657	87	21	𝜌𝑓	𝜌𝑓	NUM
cana-1657	87	22	(	(	PUNCT
cana-1657	87	23	𝜕	𝜕	NOUN
cana-1657	87	24	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	87	25	𝜇(𝑇	𝜇(𝑇	NOUN
cana-1657	87	26	)	)	PUNCT
cana-1657	87	27	𝜕𝑣	𝜕𝑣	PROPN
cana-1657	87	28	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	87	29	)	)	PUNCT
cana-1657	87	30	−	−	ADP
cana-1657	88	1	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	88	2	2	2	NUM
cana-1657	88	3	𝜌𝑓	𝜌𝑓	NOUN
cana-1657	88	4	𝑣	𝑣	NOUN
cana-1657	88	5	+	+	CCONJ
cana-1657	88	6	√2𝜈γ	√2𝜈γ	PROPN
cana-1657	88	7	𝜕𝑣	𝜕𝑣	PROPN
cana-1657	88	8	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	88	9	𝜕2𝑣	𝜕2𝑣	NOUN
cana-1657	88	10	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1657	88	11	(	(	PUNCT
cana-1657	88	12	3	3	NUM
cana-1657	88	13	)	)	PUNCT
cana-1657	88	14	𝑢	𝑢	X
cana-1657	88	15	𝜕𝑇	𝜕𝑇	X
cana-1657	88	16	𝜕𝑥	𝜕𝑥	NOUN
cana-1657	88	17	+	+	CCONJ
cana-1657	88	18	𝑣	𝑣	DET
cana-1657	88	19	𝜕𝑇	𝜕𝑇	NOUN
cana-1657	88	20	𝜕𝑦	𝜕𝑦	X
cana-1657	88	21	+	+	CCONJ
cana-1657	88	22	𝑤	𝑤	ADP
cana-1657	88	23	𝜕𝑇	𝜕𝑇	X
cana-1657	88	24	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	88	25	=	=	SYM
cana-1657	88	26	𝜕	𝜕	PROPN
cana-1657	88	27	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	88	28	(	(	PUNCT
cana-1657	88	29	𝛼𝑓(𝑇	𝛼𝑓(𝑇	X
cana-1657	88	30	)	)	PUNCT
cana-1657	88	31	𝜕𝑇	𝜕𝑇	PROPN
cana-1657	88	32	𝜕𝑧	𝜕𝑧	NUM
cana-1657	88	33	)	)	PUNCT
cana-1657	89	1	+	+	CCONJ
cana-1657	89	2	𝜏	𝜏	X
cana-1657	89	3	(	(	PUNCT
cana-1657	89	4	𝐷𝐵(𝐶	𝐷𝐵(𝐶	NOUN
cana-1657	89	5	)	)	PUNCT
cana-1657	89	6	𝜕𝐶	𝜕𝐶	PROPN
cana-1657	89	7	𝜕𝑍	𝜕𝑍	NOUN
cana-1657	89	8	𝜕𝑇	𝜕𝑇	NOUN
cana-1657	89	9	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	89	10	+	+	CCONJ
cana-1657	89	11	𝐷𝑇	𝐷𝑇	PROPN
cana-1657	89	12	𝑇∞	𝑇∞	PROPN
cana-1657	89	13	(	(	PUNCT
cana-1657	89	14	𝜕𝑇	𝜕𝑇	PROPN
cana-1657	89	15	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	89	16	)	)	PUNCT
cana-1657	89	17	2	2	NUM
cana-1657	89	18	)	)	PUNCT
cana-1657	89	19	−	−	NOUN
cana-1657	89	20	1	1	NUM
cana-1657	89	21	(	(	PUNCT
cana-1657	89	22	𝜌𝑐)𝑓	𝜌𝑐)𝑓	PROPN
cana-1657	89	23	(	(	PUNCT
cana-1657	89	24	𝜕𝑞𝑟	𝜕𝑞𝑟	ADJ
cana-1657	89	25	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	89	26	)	)	PUNCT
cana-1657	90	1	+	+	CCONJ
cana-1657	90	2	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	90	3	2(𝑢2	2(𝑢2	NUM
cana-1657	90	4	+	+	CCONJ
cana-1657	90	5	𝑣2	𝑣2	NOUN
cana-1657	90	6	)	)	PUNCT
cana-1657	90	7	(	(	PUNCT
cana-1657	90	8	4	4	X
cana-1657	90	9	)	)	PUNCT
cana-1657	90	10	𝑢	𝑢	NOUN
cana-1657	90	11	𝜕𝐶	𝜕𝐶	PROPN
cana-1657	90	12	𝜕𝑥	𝜕𝑥	NOUN
cana-1657	90	13	+	+	CCONJ
cana-1657	90	14	𝑣	𝑣	PRON
cana-1657	90	15	𝜕𝐶	𝜕𝐶	NOUN
cana-1657	90	16	𝜕𝑦	𝜕𝑦	NOUN
cana-1657	90	17	+	+	CCONJ
cana-1657	90	18	𝑤	𝑤	PART
cana-1657	90	19	𝜕𝐶	𝜕𝐶	NUM
cana-1657	90	20	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	90	21	=	=	SYM
cana-1657	90	22	𝜕	𝜕	PROPN
cana-1657	90	23	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	90	24	(	(	PUNCT
cana-1657	90	25	𝐷𝐵(𝐶	𝐷𝐵(𝐶	NOUN
cana-1657	90	26	)	)	PUNCT
cana-1657	90	27	𝜕𝐶	𝜕𝐶	PROPN
cana-1657	90	28	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	90	29	)	)	PUNCT
cana-1657	91	1	+	+	CCONJ
cana-1657	91	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1657	91	3	𝑇∞	𝑇∞	PROPN
cana-1657	91	4	(	(	PUNCT
cana-1657	91	5	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1657	91	6	𝜕𝑧2	𝜕𝑧2	PROPN
cana-1657	91	7	)	)	PUNCT
cana-1657	91	8	−	−	PROPN
cana-1657	91	9	𝑘𝑐(𝐶	𝑘𝑐(𝐶	PROPN
cana-1657	91	10	−	−	PROPN
cana-1657	91	11	𝐶∞	𝐶∞	PROPN
cana-1657	91	12	)	)	PUNCT
cana-1657	91	13	(	(	PUNCT
cana-1657	91	14	5	5	X
cana-1657	91	15	)	)	PUNCT
cana-1657	91	16	the	the	DET
cana-1657	91	17	equations	equation	NOUN
cana-1657	91	18	u	u	PROPN
cana-1657	91	19	,	,	PUNCT
cana-1657	91	20	v	v	NOUN
cana-1657	91	21	,	,	PUNCT
cana-1657	91	22	and	and	CCONJ
cana-1657	91	23	w	w	AUX
cana-1657	91	24	indicate	indicate	VERB
cana-1657	91	25	the	the	DET
cana-1657	91	26	velocity	velocity	NOUN
cana-1657	91	27	components	component	NOUN
cana-1657	91	28	in	in	ADP
cana-1657	91	29	the	the	DET
cana-1657	91	30	x	x	PROPN
cana-1657	91	31	,	,	PUNCT
cana-1657	91	32	y	y	PROPN
cana-1657	91	33	and	and	CCONJ
cana-1657	91	34	z	z	NOUN
cana-1657	91	35	-	-	PUNCT
cana-1657	91	36	directions	direction	NOUN
cana-1657	91	37	,	,	PUNCT
cana-1657	91	38	respectively	respectively	ADV
cana-1657	91	39	,	,	PUNCT
cana-1657	91	40	describing	describe	VERB
cana-1657	91	41	the	the	DET
cana-1657	91	42	fluid	fluid	NOUN
cana-1657	91	43	’s	’s	PART
cana-1657	91	44	flow	flow	NOUN
cana-1657	91	45	in	in	ADP
cana-1657	91	46	three	three	NUM
cana-1657	91	47	dimensions	dimension	NOUN
cana-1657	91	48	.	.	PUNCT
cana-1657	92	1	the	the	DET
cana-1657	92	2	liquid	liquid	NOUN
cana-1657	92	3	’s	’s	PART
cana-1657	92	4	temperature	temperature	NOUN
cana-1657	92	5	(	(	PUNCT
cana-1657	92	6	𝑇	𝑇	PROPN
cana-1657	92	7	)	)	PUNCT
cana-1657	92	8	can	can	AUX
cana-1657	92	9	affect	affect	VERB
cana-1657	92	10	its	its	PRON
cana-1657	92	11	characteristics	characteristic	NOUN
cana-1657	92	12	.	.	PUNCT
cana-1657	93	1	the	the	DET
cana-1657	93	2	constant	constant	ADJ
cana-1657	93	3	density	density	NOUN
cana-1657	93	4	of	of	ADP
cana-1657	93	5	a	a	DET
cana-1657	93	6	liquid	liquid	ADJ
cana-1657	93	7	𝜌𝑓	𝜌𝑓	NOUN
cana-1657	93	8	determines	determine	VERB
cana-1657	93	9	its	its	PRON
cana-1657	93	10	mass	mass	NOUN
cana-1657	93	11	and	and	CCONJ
cana-1657	93	12	behavior	behavior	NOUN
cana-1657	93	13	under	under	ADP
cana-1657	93	14	different	different	ADJ
cana-1657	93	15	forces	force	NOUN
cana-1657	93	16	.	.	PUNCT
cana-1657	94	1	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	94	2	is	be	AUX
cana-1657	94	3	the	the	DET
cana-1657	94	4	coefficient	coefficient	NOUN
cana-1657	94	5	of	of	ADP
cana-1657	94	6	viscosity	viscosity	NOUN
cana-1657	94	7	,	,	PUNCT
cana-1657	94	8	which	which	PRON
cana-1657	94	9	describes	describe	VERB
cana-1657	94	10	the	the	DET
cana-1657	94	11	fluid	fluid	NOUN
cana-1657	94	12	’s	’s	PART
cana-1657	94	13	resistance	resistance	NOUN
cana-1657	94	14	to	to	PART
cana-1657	94	15	flow	flow	VERB
cana-1657	94	16	and	and	CCONJ
cana-1657	94	17	shear	shear	NOUN
cana-1657	94	18	.	.	PUNCT
cana-1657	95	1	finally	finally	ADV
cana-1657	95	2	,	,	PUNCT
cana-1657	95	3	𝜇	𝜇	ADP
cana-1657	95	4	are	be	AUX
cana-1657	95	5	inverse	inverse	ADJ
cana-1657	95	6	temperature	temperature	NOUN
cana-1657	95	7	functions	function	NOUN
cana-1657	95	8	that	that	PRON
cana-1657	95	9	impact	impact	VERB
cana-1657	95	10	the	the	DET
cana-1657	95	11	fluid	fluid	NOUN
cana-1657	95	12	’s	’s	PART
cana-1657	95	13	viscosity	viscosity	NOUN
cana-1657	95	14	and	and	CCONJ
cana-1657	95	15	other	other	ADJ
cana-1657	95	16	thermodynamic	thermodynamic	ADJ
cana-1657	95	17	characteristics	characteristic	NOUN
cana-1657	95	18	.	.	PUNCT
cana-1657	96	1	𝜇	𝜇	ADP
cana-1657	96	2	=	=	X
cana-1657	96	3	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	96	4	1+𝜒𝑓(𝑇−𝑇∞	1+𝜒𝑓(𝑇−𝑇∞	PROPN
cana-1657	96	5	)	)	PUNCT
cana-1657	96	6	;	;	PUNCT
cana-1657	97	1	𝑐	𝑐	X
cana-1657	97	2	=	=	SYM
cana-1657	97	3	𝜒𝑓	𝜒𝑓	PROPN
cana-1657	97	4	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	97	5	;	;	PUNCT
cana-1657	97	6	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	97	7	=	=	SYM
cana-1657	97	8	1	1	NUM
cana-1657	97	9	𝑐(𝑇−𝑇𝑟	𝑐(𝑇−𝑇𝑟	NOUN
cana-1657	97	10	)	)	PUNCT
cana-1657	97	11	;	;	PUNCT
cana-1657	97	12	and	and	CCONJ
cana-1657	97	13	𝑇𝑟	𝑇𝑟	PROPN
cana-1657	97	14	=	=	PUNCT
cana-1657	97	15	𝑇∞	𝑇∞	PROPN
cana-1657	97	16	−	−	NUM
cana-1657	97	17	1	1	NUM
cana-1657	97	18	𝜒𝑓	𝜒𝑓	NOUN
cana-1657	97	19	(	(	PUNCT
cana-1657	97	20	6	6	NUM
cana-1657	97	21	)	)	PUNCT
cana-1657	97	22	here	here	ADV
cana-1657	97	23	c	c	PROPN
cana-1657	97	24	is	be	AUX
cana-1657	97	25	the	the	DET
cana-1657	97	26	constant	constant	ADJ
cana-1657	97	27	illustrates	illustrate	VERB
cana-1657	97	28	fluid	fluid	ADJ
cana-1657	97	29	type	type	NOUN
cana-1657	97	30	,	,	PUNCT
cana-1657	97	31	with	with	ADP
cana-1657	97	32	𝑐	𝑐	PROPN
cana-1657	97	33	<	<	X
cana-1657	97	34	0	0	NUM
cana-1657	97	35	indicating	indicate	VERB
cana-1657	97	36	gasses	gas	NOUN
cana-1657	97	37	and	and	CCONJ
cana-1657	97	38	𝑐	𝑐	NOUN
cana-1657	97	39	>	>	X
cana-1657	97	40	0	0	NUM
cana-1657	97	41	representing	represent	VERB
cana-1657	97	42	liquids	liquid	NOUN
cana-1657	97	43	.	.	PUNCT
cana-1657	98	1	𝑇∞	𝑇∞	PROPN
cana-1657	98	2	,	,	PUNCT
cana-1657	98	3	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	98	4	are	be	AUX
cana-1657	98	5	constants	constant	NOUN
cana-1657	98	6	thermal	thermal	ADJ
cana-1657	98	7	and	and	CCONJ
cana-1657	98	8	coefficients	coefficient	NOUN
cana-1657	98	9	of	of	ADP
cana-1657	98	10	viscosity	viscosity	NOUN
cana-1657	98	11	at	at	ADP
cana-1657	98	12	a	a	DET
cana-1657	98	13	distance	distance	NOUN
cana-1657	98	14	far	far	ADV
cana-1657	98	15	away	away	ADV
cana-1657	98	16	from	from	ADP
cana-1657	98	17	the	the	DET
cana-1657	98	18	sheet	sheet	NOUN
cana-1657	98	19	,	,	PUNCT
cana-1657	98	20	𝜒𝑓	𝜒𝑓	ADP
cana-1657	98	21	feature	feature	NOUN
cana-1657	98	22	of	of	ADP
cana-1657	98	23	hot	hot	ADJ
cana-1657	98	24	fluid	fluid	NOUN
cana-1657	98	25	.	.	PUNCT
cana-1657	99	1	while	while	SCONJ
cana-1657	99	2	𝐶𝑃	𝐶𝑃	PROPN
cana-1657	99	3	indicates	indicate	VERB
cana-1657	99	4	specific	specific	ADJ
cana-1657	99	5	heat	heat	NOUN
cana-1657	99	6	,	,	PUNCT
cana-1657	99	7	electrical	electrical	ADJ
cana-1657	99	8	conductivity	conductivity	NOUN
cana-1657	99	9	is	be	AUX
cana-1657	99	10	represented	represent	VERB
cana-1657	99	11	by	by	ADP
cana-1657	99	12	s	s	PROPN
cana-1657	99	13	,	,	PUNCT
cana-1657	99	14	and	and	CCONJ
cana-1657	99	15	specific	specific	ADJ
cana-1657	99	16	heat	heat	NOUN
cana-1657	99	17	is	be	AUX
cana-1657	99	18	represented	represent	VERB
cana-1657	99	19	by	by	ADP
cana-1657	99	20	cp	cp	PROPN
cana-1657	99	21	.	.	PUNCT
cana-1657	100	1	additionally	additionally	ADV
cana-1657	100	2	,	,	PUNCT
cana-1657	100	3	the	the	DET
cana-1657	100	4	temperature	temperature	NOUN
cana-1657	100	5	is	be	AUX
cana-1657	100	6	represented	represent	VERB
cana-1657	100	7	by	by	ADP
cana-1657	100	8	the	the	DET
cana-1657	100	9	heat	heat	NOUN
cana-1657	100	10	communications	communication	NOUN
cana-1657	100	11	on	on	ADP
cana-1657	100	12	applied	apply	VERB
cana-1657	100	13	nonlinear	nonlinear	ADJ
cana-1657	100	14	analysis	analysis	NOUN
cana-1657	100	15	issn	issn	NOUN
cana-1657	100	16	:	:	PUNCT
cana-1657	100	17	1074	1074	NUM
cana-1657	100	18	-	-	PUNCT
cana-1657	100	19	133x	133x	NUM
cana-1657	100	20	vol	vol	NOUN
cana-1657	100	21	32	32	NUM
cana-1657	100	22	no	no	NOUN
cana-1657	100	23	.	.	NOUN
cana-1657	100	24	1	1	NUM
cana-1657	100	25	(	(	PUNCT
cana-1657	100	26	2025	2025	NUM
cana-1657	100	27	)	)	PUNCT
cana-1657	100	28	364	364	NUM
cana-1657	100	29	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	100	30	conductivity	conductivity	NOUN
cana-1657	100	31	k(t	k(t	PROPN
cana-1657	100	32	)	)	PUNCT
cana-1657	100	33	and	and	CCONJ
cana-1657	100	34	the	the	DET
cana-1657	100	35	species	specie	NOUN
cana-1657	100	36	depending	depend	VERB
cana-1657	100	37	on	on	ADP
cana-1657	100	38	the	the	DET
cana-1657	100	39	molecular	molecular	ADJ
cana-1657	100	40	dispersion	dispersion	NOUN
cana-1657	100	41	of	of	ADP
cana-1657	100	42	diffusing	diffuse	VERB
cana-1657	100	43	species	specie	NOUN
cana-1657	100	44	db(c	db(c	PUNCT
cana-1657	100	45	)	)	PUNCT
cana-1657	100	46	are	be	AUX
cana-1657	100	47	provided	provide	VERB
cana-1657	100	48	to	to	PART
cana-1657	100	49	fluctuate	fluctuate	VERB
cana-1657	100	50	as	as	ADP
cana-1657	100	51	direct	direct	ADJ
cana-1657	100	52	functions	function	NOUN
cana-1657	100	53	of	of	ADP
cana-1657	100	54	the	the	DET
cana-1657	100	55	respective	respective	ADJ
cana-1657	100	56	types	type	NOUN
cana-1657	100	57	of	of	ADP
cana-1657	100	58	thermal	thermal	ADJ
cana-1657	100	59	and	and	CCONJ
cana-1657	100	60	species	species	NOUN
cana-1657	100	61	diffusion	diffusion	NOUN
cana-1657	100	62	:	:	PUNCT
cana-1657	100	63	𝛼𝑓	𝛼𝑓	PROPN
cana-1657	100	64	=	=	SYM
cana-1657	100	65	𝑘𝑓	𝑘𝑓	NUM
cana-1657	100	66	𝜌𝑓𝑐𝑝	𝜌𝑓𝑐𝑝	NOUN
cana-1657	100	67	;	;	PUNCT
cana-1657	100	68	𝐾(𝑇	𝐾(𝑇	NOUN
cana-1657	100	69	)	)	PUNCT
cana-1657	100	70	𝜌𝑓𝑐𝑝	𝜌𝑓𝑐𝑝	NOUN
cana-1657	100	71	=	=	SYM
cana-1657	100	72	𝑘𝑓	𝑘𝑓	NUM
cana-1657	100	73	𝜌𝑓𝑐𝑝	𝜌𝑓𝑐𝑝	NOUN
cana-1657	100	74	(	(	PUNCT
cana-1657	100	75	1	1	NUM
cana-1657	100	76	+	+	CCONJ
cana-1657	100	77	휀1	휀1	NOUN
cana-1657	100	78	(	(	PUNCT
cana-1657	100	79	𝑇∞−𝑇	𝑇∞−𝑇	NOUN
cana-1657	100	80	)	)	PUNCT
cana-1657	100	81	𝑇∞−𝑇𝑤	𝑇∞−𝑇𝑤	NOUN
cana-1657	100	82	)	)	PUNCT
cana-1657	100	83	,	,	PUNCT
cana-1657	100	84	𝐷𝐵(𝑇	𝐷𝐵(𝑇	X
cana-1657	100	85	)	)	PUNCT
cana-1657	101	1	=	=	NOUN
cana-1657	101	2	𝐷𝐵𝑓	𝐷𝐵𝑓	NOUN
cana-1657	101	3	(	(	PUNCT
cana-1657	101	4	1	1	NUM
cana-1657	101	5	+	+	CCONJ
cana-1657	101	6	휀2	휀2	VERB
cana-1657	101	7	𝐶∞−𝐶	𝐶∞−𝐶	PROPN
cana-1657	101	8	𝐶∞−𝐶𝑤	𝐶∞−𝐶𝑤	NUM
cana-1657	101	9	)	)	PUNCT
cana-1657	101	10	(	(	PUNCT
cana-1657	101	11	7	7	X
cana-1657	101	12	)	)	PUNCT
cana-1657	101	13	the	the	DET
cana-1657	101	14	symbols	symbol	NOUN
cana-1657	101	15	휀1and	휀1and	PROPN
cana-1657	101	16	휀2	휀2	PROPN
cana-1657	101	17	likely	likely	ADV
cana-1657	101	18	represent	represent	VERB
cana-1657	101	19	variable	variable	ADJ
cana-1657	101	20	conductivity	conductivity	NOUN
cana-1657	101	21	and	and	CCONJ
cana-1657	101	22	a	a	DET
cana-1657	101	23	species	species	NOUN
cana-1657	101	24	parameter	parameter	NOUN
cana-1657	101	25	,	,	PUNCT
cana-1657	101	26	respectively	respectively	ADV
cana-1657	101	27	.	.	PUNCT
cana-1657	102	1	consider	consider	VERB
cana-1657	102	2	𝑘𝑓	𝑘𝑓	NUM
cana-1657	102	3	and	and	CCONJ
cana-1657	102	4	𝐷𝐵𝑓these	𝐷𝐵𝑓these	ADJ
cana-1657	102	5	figures	figure	NOUN
cana-1657	102	6	likely	likely	ADV
cana-1657	102	7	represent	represent	VERB
cana-1657	102	8	thermal	thermal	ADJ
cana-1657	102	9	conductivity	conductivity	NOUN
cana-1657	102	10	𝑘𝑓	𝑘𝑓	NUM
cana-1657	102	11	and	and	CCONJ
cana-1657	102	12	species	specie	NOUN
cana-1657	102	13	dispersion	dispersion	NOUN
cana-1657	102	14	𝐷𝐵𝑓	𝐷𝐵𝑓	NOUN
cana-1657	102	15	far	far	ADV
cana-1657	102	16	from	from	ADP
cana-1657	102	17	the	the	DET
cana-1657	102	18	surface	surface	NOUN
cana-1657	102	19	.	.	PUNCT
cana-1657	103	1	the	the	DET
cana-1657	103	2	thermophorotic	thermophorotic	ADJ
cana-1657	103	3	force	force	NOUN
cana-1657	103	4	coefficient	coefficient	NOUN
cana-1657	103	5	𝐷𝑇	𝐷𝑇	PROPN
cana-1657	103	6	describes	describe	VERB
cana-1657	103	7	the	the	DET
cana-1657	103	8	force	force	NOUN
cana-1657	103	9	on	on	ADP
cana-1657	103	10	particles	particle	NOUN
cana-1657	103	11	in	in	ADP
cana-1657	103	12	a	a	DET
cana-1657	103	13	fluid	fluid	NOUN
cana-1657	103	14	due	due	ADP
cana-1657	103	15	to	to	ADP
cana-1657	103	16	a	a	DET
cana-1657	103	17	temperature	temperature	NOUN
cana-1657	103	18	gradient.𝜙	gradient.𝜙	NOUN
cana-1657	103	19	:	:	PUNCT
cana-1657	103	20	this	this	DET
cana-1657	103	21	parameter	parameter	NOUN
cana-1657	103	22	is	be	AUX
cana-1657	103	23	given	give	VERB
cana-1657	103	24	by	by	ADP
cana-1657	103	25	𝜏	𝜏	PROPN
cana-1657	103	26	=	=	PUNCT
cana-1657	103	27	(	(	PUNCT
cana-1657	103	28	𝜌𝑓𝑐𝑝)𝑝	𝜌𝑓𝑐𝑝)𝑝	X
cana-1657	103	29	(	(	PUNCT
cana-1657	103	30	𝜌𝑐𝑝)𝑓	𝜌𝑐𝑝)𝑓	PROPN
cana-1657	103	31	is	be	AUX
cana-1657	103	32	the	the	DET
cana-1657	103	33	effective	effective	ADJ
cana-1657	103	34	heat	heat	NOUN
cana-1657	103	35	capacity	capacity	NOUN
cana-1657	103	36	of	of	ADP
cana-1657	103	37	nanoparticles	nanoparticle	NOUN
cana-1657	103	38	is	be	AUX
cana-1657	103	39	compared	compare	VERB
cana-1657	103	40	to	to	ADP
cana-1657	103	41	the	the	DET
cana-1657	103	42	fluid	fluid	ADJ
cana-1657	103	43	heat	heat	NOUN
cana-1657	103	44	capacity	capacity	NOUN
cana-1657	103	45	.	.	PUNCT
cana-1657	104	1	when	when	SCONJ
cana-1657	104	2	equations	equation	NOUN
cana-1657	104	3	(	(	PUNCT
cana-1657	104	4	6	6	NUM
cana-1657	104	5	)	)	PUNCT
cana-1657	104	6	and	and	CCONJ
cana-1657	104	7	(	(	PUNCT
cana-1657	104	8	7	7	X
cana-1657	104	9	)	)	PUNCT
cana-1657	104	10	are	be	AUX
cana-1657	104	11	substituted	substitute	VERB
cana-1657	104	12	into	into	ADP
cana-1657	104	13	equations	equation	NOUN
cana-1657	104	14	(	(	PUNCT
cana-1657	104	15	2	2	NUM
cana-1657	104	16	-	-	SYM
cana-1657	104	17	4	4	NUM
cana-1657	104	18	)	)	PUNCT
cana-1657	104	19	and	and	CCONJ
cana-1657	104	20	(	(	PUNCT
cana-1657	104	21	5	5	NUM
cana-1657	104	22	)	)	PUNCT
cana-1657	104	23	,	,	PUNCT
cana-1657	104	24	a	a	DET
cana-1657	104	25	new	new	ADJ
cana-1657	104	26	set	set	NOUN
cana-1657	104	27	of	of	ADP
cana-1657	104	28	equations	equation	NOUN
cana-1657	104	29	is	be	AUX
cana-1657	104	30	formed	form	VERB
cana-1657	104	31	that	that	PRON
cana-1657	104	32	includes	include	VERB
cana-1657	104	33	the	the	DET
cana-1657	104	34	expressions	expression	NOUN
cana-1657	104	35	described	describe	VERB
cana-1657	104	36	in	in	ADP
cana-1657	104	37	(	(	PUNCT
cana-1657	104	38	6	6	NUM
cana-1657	104	39	)	)	PUNCT
cana-1657	104	40	and	and	CCONJ
cana-1657	104	41	(	(	PUNCT
cana-1657	104	42	7	7	NUM
cana-1657	104	43	)	)	PUNCT
cana-1657	104	44	.	.	PUNCT
cana-1657	105	1	these	these	DET
cana-1657	105	2	new	new	ADJ
cana-1657	105	3	equations	equation	NOUN
cana-1657	105	4	are	be	AUX
cana-1657	105	5	likely	likely	ADJ
cana-1657	105	6	to	to	PART
cana-1657	105	7	characterize	characterize	VERB
cana-1657	105	8	the	the	DET
cana-1657	105	9	system	system	NOUN
cana-1657	105	10	’s	’s	PART
cana-1657	105	11	behavior	behavior	NOUN
cana-1657	105	12	in	in	ADP
cana-1657	105	13	more	more	ADJ
cana-1657	105	14	depth	depth	NOUN
cana-1657	105	15	or	or	CCONJ
cana-1657	105	16	specificity	specificity	NOUN
cana-1657	105	17	,	,	PUNCT
cana-1657	105	18	perhaps	perhaps	ADV
cana-1657	105	19	accounting	account	VERB
cana-1657	105	20	for	for	ADP
cana-1657	105	21	the	the	DET
cana-1657	105	22	impact	impact	NOUN
cana-1657	105	23	of	of	ADP
cana-1657	105	24	factors	factor	NOUN
cana-1657	105	25	such	such	ADJ
cana-1657	105	26	as	as	ADP
cana-1657	105	27	conductivity	conductivity	NOUN
cana-1657	105	28	,	,	PUNCT
cana-1657	105	29	species	species	NOUN
cana-1657	105	30	characteristics	characteristic	NOUN
cana-1657	105	31	,	,	PUNCT
cana-1657	105	32	thermal	thermal	ADJ
cana-1657	105	33	conductivity	conductivity	NOUN
cana-1657	105	34	,	,	PUNCT
cana-1657	105	35	and	and	CCONJ
cana-1657	105	36	thermophoresis	thermophoresis	NOUN
cana-1657	105	37	forces	force	NOUN
cana-1657	105	38	.	.	PUNCT
cana-1657	106	1	𝑢𝑢𝑥	𝑢𝑢𝑥	PROPN
cana-1657	106	2	+	+	NOUN
cana-1657	106	3	𝑣𝑢𝑦	𝑣𝑢𝑦	VERB
cana-1657	106	4	+	+	CCONJ
cana-1657	106	5	𝑤𝑢𝑧	𝑤𝑢𝑧	NOUN
cana-1657	106	6	=	=	SYM
cana-1657	106	7	1	1	NUM
cana-1657	106	8	𝜌𝑓	𝜌𝑓	NUM
cana-1657	106	9	𝜕	𝜕	PROPN
cana-1657	106	10	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	106	11	(	(	PUNCT
cana-1657	106	12	𝜇𝑓	𝜇𝑓	NOUN
cana-1657	106	13	1+𝜒𝑓(𝑇−𝑇∞	1+𝜒𝑓(𝑇−𝑇∞	NOUN
cana-1657	106	14	)	)	PUNCT
cana-1657	106	15	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	106	16	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	106	17	)	)	PUNCT
cana-1657	107	1	−	−	NOUN
cana-1657	107	2	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	107	3	2	2	NUM
cana-1657	107	4	𝜌𝑓	𝜌𝑓	NUM
cana-1657	107	5	𝑢	𝑢	NOUN
cana-1657	107	6	+	+	ADJ
cana-1657	107	7	√2𝜈𝑓γ	√2𝜈𝑓γ	PROPN
cana-1657	107	8	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	107	9	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	107	10	𝜕2𝑢	𝜕2𝑢	PROPN
cana-1657	107	11	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1657	107	12	(	(	PUNCT
cana-1657	107	13	8)	8)	NUM
cana-1657	107	14	𝑢𝑣𝑥	𝑢𝑣𝑥	NOUN
cana-1657	107	15	+	+	CCONJ
cana-1657	107	16	𝑣𝑣𝑦	𝑣𝑣𝑦	NOUN
cana-1657	107	17	+	+	CCONJ
cana-1657	107	18	𝑤𝑣𝑧	𝑤𝑣𝑧	NOUN
cana-1657	107	19	=	=	SYM
cana-1657	107	20	1	1	NUM
cana-1657	107	21	𝜌𝑓	𝜌𝑓	NUM
cana-1657	107	22	𝜕	𝜕	PROPN
cana-1657	107	23	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	107	24	(	(	PUNCT
cana-1657	107	25	𝜇𝑓	𝜇𝑓	NOUN
cana-1657	107	26	1	1	NUM
cana-1657	107	27	+	+	NUM
cana-1657	107	28	𝜒𝑓(𝑇−𝑇∞	𝜒𝑓(𝑇−𝑇∞	ADJ
cana-1657	107	29	)	)	PUNCT
cana-1657	107	30	𝜕𝑣	𝜕𝑣	PROPN
cana-1657	107	31	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	107	32	)	)	PUNCT
cana-1657	107	33	−	−	ADP
cana-1657	107	34	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	107	35	2	2	NUM
cana-1657	107	36	𝜌𝑓	𝜌𝑓	NOUN
cana-1657	107	37	𝑣	𝑣	X
cana-1657	107	38	+	+	NOUN
cana-1657	107	39	√2𝜈fγ	√2𝜈fγ	PROPN
cana-1657	107	40	𝜕𝑣	𝜕𝑣	NOUN
cana-1657	107	41	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	107	42	𝜕2𝑣	𝜕2𝑣	NOUN
cana-1657	107	43	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1657	107	44	(	(	PUNCT
cana-1657	107	45	9	9	NUM
cana-1657	107	46	)	)	PUNCT
cana-1657	107	47	𝑢𝑇𝑥	𝑢𝑇𝑥	NOUN
cana-1657	107	48	+	+	CCONJ
cana-1657	107	49	𝑣𝑇𝑦	𝑣𝑇𝑦	NOUN
cana-1657	107	50	+	+	CCONJ
cana-1657	107	51	𝑤𝑇𝑧	𝑤𝑇𝑧	ADJ
cana-1657	107	52	=	=	SYM
cana-1657	107	53	𝜕	𝜕	PROPN
cana-1657	107	54	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	107	55	(	(	PUNCT
cana-1657	107	56	𝛼𝑓	𝛼𝑓	PROPN
cana-1657	107	57	(	(	PUNCT
cana-1657	107	58	1	1	NUM
cana-1657	107	59	+	+	CCONJ
cana-1657	107	60	휀1	휀1	NOUN
cana-1657	107	61	(	(	PUNCT
cana-1657	107	62	𝑇∞−𝑇	𝑇∞−𝑇	NOUN
cana-1657	107	63	)	)	PUNCT
cana-1657	107	64	𝑇∞−𝑇𝑤	𝑇∞−𝑇𝑤	NOUN
cana-1657	107	65	)	)	PUNCT
cana-1657	107	66	𝜕𝑇	𝜕𝑇	PROPN
cana-1657	107	67	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	107	68	)	)	PUNCT
cana-1657	108	1	+	+	CCONJ
cana-1657	108	2	𝜏	𝜏	X
cana-1657	108	3	(	(	PUNCT
cana-1657	108	4	𝐷𝐵𝑓	𝐷𝐵𝑓	NOUN
cana-1657	108	5	(	(	PUNCT
cana-1657	108	6	1	1	NUM
cana-1657	108	7	+	+	NUM
cana-1657	108	8	휀2	휀2	NOUN
cana-1657	108	9	(	(	PUNCT
cana-1657	108	10	𝐶∞−𝐶	𝐶∞−𝐶	NOUN
cana-1657	108	11	𝐶∞−𝐶𝑤	𝐶∞−𝐶𝑤	NUM
cana-1657	108	12	)	)	PUNCT
cana-1657	108	13	𝜕𝐶	𝜕𝐶	NOUN
cana-1657	108	14	𝜕𝑧	𝜕𝑧	PRON
cana-1657	108	15	𝜕𝑇	𝜕𝑇	NOUN
cana-1657	108	16	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	108	17	)	)	PUNCT
cana-1657	109	1	+	+	CCONJ
cana-1657	109	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1657	109	3	𝑇∞	𝑇∞	PROPN
cana-1657	109	4	(	(	PUNCT
cana-1657	109	5	𝜕𝑇	𝜕𝑇	PROPN
cana-1657	109	6	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	109	7	)	)	PUNCT
cana-1657	109	8	2	2	NUM
cana-1657	109	9	)	)	PUNCT
cana-1657	109	10	+	+	NUM
cana-1657	109	11	16𝜎𝑇∞	16𝜎𝑇∞	NUM
cana-1657	109	12	3	3	NUM
cana-1657	109	13	3𝑘∗𝜌𝑓𝑐𝑝	3𝑘∗𝜌𝑓𝑐𝑝	NUM
cana-1657	109	14	𝜕2𝑇	𝜕2𝑇	NOUN
cana-1657	109	15	𝜕𝑧2	𝜕𝑧2	NOUN
cana-1657	109	16	+	+	CCONJ
cana-1657	109	17	𝜎𝐵0	𝜎𝐵0	PROPN
cana-1657	109	18	2	2	NUM
cana-1657	109	19	𝜌𝑓𝑐𝑝	𝜌𝑓𝑐𝑝	NOUN
cana-1657	109	20	(	(	PUNCT
cana-1657	109	21	𝑢2	𝑢2	PROPN
cana-1657	109	22	+	+	PROPN
cana-1657	109	23	𝑣2	𝑣2	PROPN
cana-1657	109	24	)	)	PUNCT
cana-1657	109	25	(	(	PUNCT
cana-1657	109	26	10	10	NUM
cana-1657	109	27	)	)	PUNCT
cana-1657	109	28	𝑢𝐶𝑥	𝑢𝐶𝑥	VERB
cana-1657	109	29	+	+	NOUN
cana-1657	109	30	𝑣𝐶𝑦	𝑣𝐶𝑦	NOUN
cana-1657	109	31	+	+	PUNCT
cana-1657	109	32	𝑤𝐶𝑧	𝑤𝐶𝑧	X
cana-1657	109	33	=	=	SYM
cana-1657	109	34	𝜕	𝜕	PROPN
cana-1657	109	35	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	109	36	(	(	PUNCT
cana-1657	109	37	𝐷𝐵𝑓	𝐷𝐵𝑓	NOUN
cana-1657	109	38	(	(	PUNCT
cana-1657	109	39	1	1	NUM
cana-1657	109	40	+	+	CCONJ
cana-1657	109	41	휀2	휀2	VERB
cana-1657	109	42	𝐶∞−𝐶	𝐶∞−𝐶	PROPN
cana-1657	109	43	𝐶∞−𝐶𝑤	𝐶∞−𝐶𝑤	PRON
cana-1657	109	44	)	)	PUNCT
cana-1657	109	45	𝜕𝐶	𝜕𝐶	PROPN
cana-1657	109	46	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	109	47	)	)	PUNCT
cana-1657	110	1	+	+	CCONJ
cana-1657	110	2	𝐷𝑇	𝐷𝑇	PROPN
cana-1657	110	3	𝑇∞	𝑇∞	PROPN
cana-1657	110	4	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1657	110	5	𝜕𝑧2	𝜕𝑧2	PROPN
cana-1657	110	6	−𝐾𝑐(𝐶	−𝐾𝑐(𝐶	PROPN
cana-1657	110	7	−	−	PROPN
cana-1657	110	8	𝐶∞	𝐶∞	PROPN
cana-1657	110	9	)	)	PUNCT
cana-1657	110	10	(	(	PUNCT
cana-1657	110	11	11	11	NUM
cana-1657	110	12	)	)	PUNCT
cana-1657	110	13	the	the	DET
cana-1657	110	14	linked	link	VERB
cana-1657	110	15	and	and	CCONJ
cana-1657	110	16	utilized	utilize	VERB
cana-1657	110	17	boundary	boundary	ADJ
cana-1657	110	18	conditions	condition	NOUN
cana-1657	110	19	are	be	AUX
cana-1657	110	20	:	:	PUNCT
cana-1657	110	21	𝑢	𝑢	X
cana-1657	110	22	=	=	PUNCT
cana-1657	110	23	𝑢𝑤	𝑢𝑤	PROPN
cana-1657	110	24	=	=	PROPN
cana-1657	110	25	𝑘1	𝑘1	ADJ
cana-1657	110	26	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	110	27	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	111	1	+	+	CCONJ
cana-1657	112	1	𝑎𝑥	𝑎𝑥	NOUN
cana-1657	112	2	;	;	PUNCT
cana-1657	112	3	𝑣	𝑣	X
cana-1657	112	4	=	=	SYM
cana-1657	112	5	𝑣𝑤	𝑣𝑤	PROPN
cana-1657	112	6	=	=	PUNCT
cana-1657	112	7	𝑘2	𝑘2	PROPN
cana-1657	112	8	𝜕𝑣	𝜕𝑣	PROPN
cana-1657	112	9	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	112	10	+	+	CCONJ
cana-1657	112	11	𝑏𝑦;𝑤	𝑏𝑦;𝑤	NOUN
cana-1657	112	12	=	=	SYM
cana-1657	112	13	0	0	NUM
cana-1657	112	14	;	;	PUNCT
cana-1657	112	15	𝑘𝑓	𝑘𝑓	NUM
cana-1657	112	16	𝜕𝑇	𝜕𝑇	X
cana-1657	112	17	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	112	18	=	=	SYM
cana-1657	112	19	ℎ𝑓(𝑇	ℎ𝑓(𝑇	ADP
cana-1657	112	20	−	−	NOUN
cana-1657	112	21	𝑇𝑓	𝑇𝑓	NOUN
cana-1657	112	22	)	)	PUNCT
cana-1657	112	23	;	;	PUNCT
cana-1657	112	24	𝐶	𝐶	PROPN
cana-1657	112	25	=	=	PUNCT
cana-1657	113	1	𝐶𝑤	𝐶𝑤	PROPN
cana-1657	113	2	𝑎𝑡	𝑎𝑡	ADP
cana-1657	113	3	𝑧	𝑧	NOUN
cana-1657	113	4	=	=	SYM
cana-1657	113	5	0	0	NUM
cana-1657	113	6	𝑢	𝑢	X
cana-1657	113	7	=	=	NOUN
cana-1657	113	8	0	0	NUM
cana-1657	113	9	;	;	PUNCT
cana-1657	113	10	𝑣	𝑣	X
cana-1657	113	11	=	=	SYM
cana-1657	113	12	0	0	NUM
cana-1657	113	13	;	;	PUNCT
cana-1657	113	14	𝑇	𝑇	PROPN
cana-1657	113	15	→	→	SYM
cana-1657	113	16	𝑇∞	𝑇∞	PROPN
cana-1657	113	17	;	;	PUNCT
cana-1657	113	18	𝐶	𝐶	PROPN
cana-1657	113	19	→	→	SYM
cana-1657	113	20	𝐶∞	𝐶∞	PROPN
cana-1657	113	21	as	as	ADP
cana-1657	113	22	𝑧	𝑧	PROPN
cana-1657	113	23	→	→	SYM
cana-1657	113	24	∞	∞	NUM
cana-1657	113	25	}	}	PUNCT
cana-1657	113	26	(	(	PUNCT
cana-1657	113	27	12	12	NUM
cana-1657	113	28	)	)	PUNCT
cana-1657	113	29	where	where	SCONJ
cana-1657	113	30	ℎ𝑓	ℎ𝑓	NOUN
cana-1657	113	31	is	be	AUX
cana-1657	113	32	the	the	DET
cana-1657	113	33	heat	heat	NOUN
cana-1657	113	34	flux	flux	NOUN
cana-1657	113	35	coefficient	coefficient	NOUN
cana-1657	113	36	,	,	PUNCT
cana-1657	113	37	𝑇𝑓	𝑇𝑓	PROPN
cana-1657	113	38	is	be	AUX
cana-1657	113	39	the	the	DET
cana-1657	113	40	temperature	temperature	NOUN
cana-1657	113	41	of	of	ADP
cana-1657	113	42	the	the	DET
cana-1657	113	43	hot	hot	ADJ
cana-1657	113	44	liquid	liquid	NOUN
cana-1657	113	45	,	,	PUNCT
cana-1657	113	46	a	a	PRON
cana-1657	113	47	and	and	CCONJ
cana-1657	113	48	b	b	NOUN
cana-1657	113	49	are	be	AUX
cana-1657	113	50	positive	positive	ADJ
cana-1657	113	51	constants	constant	NOUN
cana-1657	113	52	.	.	PUNCT
cana-1657	114	1	in	in	ADP
cana-1657	114	2	mathematical	mathematical	ADJ
cana-1657	114	3	modeling	model	VERB
cana-1657	114	4	non	non	ADJ
cana-1657	114	5	-	-	ADJ
cana-1657	114	6	dimensional	dimensional	ADJ
cana-1657	114	7	variables	variable	NOUN
cana-1657	114	8	are	be	AUX
cana-1657	114	9	a	a	DET
cana-1657	114	10	common	common	ADJ
cana-1657	114	11	tactic	tactic	NOUN
cana-1657	114	12	for	for	ADP
cana-1657	114	13	simplifying	simplify	VERB
cana-1657	114	14	equations	equation	NOUN
cana-1657	114	15	and	and	CCONJ
cana-1657	114	16	exposing	expose	VERB
cana-1657	114	17	underlying	underlie	VERB
cana-1657	114	18	relationships	relationship	NOUN
cana-1657	114	19	across	across	ADP
cana-1657	114	20	diverse	diverse	ADJ
cana-1657	114	21	physical	physical	ADJ
cana-1657	114	22	scenarios	scenario	NOUN
cana-1657	114	23	.	.	PUNCT
cana-1657	115	1	scaling	scale	VERB
cana-1657	115	2	variables	variable	NOUN
cana-1657	115	3	are	be	AUX
cana-1657	115	4	commonly	commonly	ADV
cana-1657	115	5	used	use	VERB
cana-1657	115	6	in	in	ADP
cana-1657	115	7	this	this	DET
cana-1657	115	8	process	process	NOUN
cana-1657	115	9	(	(	PUNCT
cana-1657	115	10	see	see	VERB
cana-1657	115	11	details	detail	NOUN
cana-1657	115	12	vaidya	vaidya	PROPN
cana-1657	115	13	et	et	PROPN
cana-1657	115	14	al.[23	al.[23	PROPN
cana-1657	115	15	]	]	PUNCT
cana-1657	115	16	)	)	PUNCT
cana-1657	115	17	.	.	PUNCT
cana-1657	116	1	similarity	similarity	NOUN
cana-1657	116	2	transformations	transformation	NOUN
cana-1657	116	3	(	(	PUNCT
cana-1657	116	4	𝑢	𝑢	X
cana-1657	116	5	,	,	PUNCT
cana-1657	116	6	𝑣	𝑣	NOUN
cana-1657	116	7	,	,	PUNCT
cana-1657	116	8	𝑤	𝑤	ADP
cana-1657	116	9	)	)	PUNCT
cana-1657	116	10	=	=	SYM
cana-1657	116	11	(	(	PUNCT
cana-1657	116	12	𝑎𝑥𝑓′(𝜂	𝑎𝑥𝑓′(𝜂	ADJ
cana-1657	116	13	)	)	PUNCT
cana-1657	116	14	,	,	PUNCT
cana-1657	116	15	𝑎𝑦𝑔′(𝜂	𝑎𝑦𝑔′(𝜂	NOUN
cana-1657	116	16	)	)	PUNCT
cana-1657	116	17	,	,	PUNCT
cana-1657	116	18	−√2𝜈(𝑓(𝜂	−√2𝜈(𝑓(𝜂	PUNCT
cana-1657	116	19	)	)	PUNCT
cana-1657	116	20	+	+	CCONJ
cana-1657	116	21	𝑔(𝜂	𝑔(𝜂	PROPN
cana-1657	116	22	)	)	PUNCT
cana-1657	116	23	)	)	PUNCT
cana-1657	116	24	)	)	PUNCT
cana-1657	117	1	(	(	PUNCT
cana-1657	117	2	𝑇	𝑇	PROPN
cana-1657	117	3	,	,	PUNCT
cana-1657	117	4	𝐶	𝐶	PROPN
cana-1657	117	5	)	)	PUNCT
cana-1657	117	6	=	=	PUNCT
cana-1657	117	7	(	(	PUNCT
cana-1657	117	8	𝑇∞	𝑇∞	PROPN
cana-1657	117	9	+	+	X
cana-1657	117	10	(	(	PUNCT
cana-1657	117	11	𝑇𝑤	𝑇𝑤	PROPN
cana-1657	117	12	−	−	PROPN
cana-1657	117	13	𝑇∞)𝜃(𝜂	𝑇∞)𝜃(𝜂	NOUN
cana-1657	117	14	)	)	PUNCT
cana-1657	117	15	,	,	PUNCT
cana-1657	117	16	𝐶∞	𝐶∞	PROPN
cana-1657	117	17	+	+	CCONJ
cana-1657	117	18	(	(	PUNCT
cana-1657	117	19	𝐶𝑤	𝐶𝑤	PROPN
cana-1657	117	20	−	−	PROPN
cana-1657	117	21	𝐶∞)φ(𝜂	𝐶∞)φ(𝜂	PROPN
cana-1657	117	22	)	)	PUNCT
cana-1657	117	23	)	)	PUNCT
cana-1657	117	24	}	}	PUNCT
cana-1657	117	25	(	(	PUNCT
cana-1657	117	26	13	13	NUM
cana-1657	117	27	)	)	PUNCT
cana-1657	117	28	through	through	ADP
cana-1657	117	29	this	this	DET
cana-1657	117	30	similarity	similarity	NOUN
cana-1657	117	31	transformation	transformation	NOUN
cana-1657	117	32	equations	equation	NOUN
cana-1657	117	33	(	(	PUNCT
cana-1657	117	34	8)-(11	8)-(11	NOUN
cana-1657	117	35	)	)	PUNCT
cana-1657	117	36	transformed	transform	VERB
cana-1657	117	37	as	as	ADP
cana-1657	117	38	𝑓′′′	𝑓′′′	PROPN
cana-1657	117	39	(	(	PUNCT
cana-1657	117	40	1−	1−	NUM
cana-1657	117	41	𝜃	𝜃	NOUN
cana-1657	117	42	𝜃𝑟	𝜃𝑟	NOUN
cana-1657	117	43	)	)	PUNCT
cana-1657	118	1	+	+	CCONJ
cana-1657	118	2	𝜃′𝑓′′	𝜃′𝑓′′	PUNCT
cana-1657	118	3	𝜃𝑟(1−	𝜃𝑟(1−	ADJ
cana-1657	118	4	𝜃	𝜃	NOUN
cana-1657	118	5	𝜃𝑟	𝜃𝑟	NOUN
cana-1657	118	6	)	)	PUNCT
cana-1657	118	7	2	2	NUM
cana-1657	119	1	+	+	ADP
cana-1657	119	2	𝑊𝑒𝑓	𝑊𝑒𝑓	PROPN
cana-1657	119	3	′′𝑓′′′	′′𝑓′′′	PROPN
cana-1657	119	4	+	+	CCONJ
cana-1657	119	5	(	(	PUNCT
cana-1657	119	6	𝑓	𝑓	DET
cana-1657	119	7	+	+	NOUN
cana-1657	119	8	𝑔)𝑓′′	𝑔)𝑓′′	NOUN
cana-1657	119	9	−	−	NOUN
cana-1657	119	10	𝑓′2	𝑓′2	NOUN
cana-1657	119	11	−𝑀𝑓′	−𝑀𝑓′	PROPN
cana-1657	120	1	=	=	PUNCT
cana-1657	120	2	0	0	PUNCT
cana-1657	120	3	(	(	PUNCT
cana-1657	120	4	14	14	NUM
cana-1657	120	5	)	)	PUNCT
cana-1657	120	6	communications	communication	NOUN
cana-1657	120	7	on	on	ADP
cana-1657	120	8	applied	apply	VERB
cana-1657	120	9	nonlinear	nonlinear	ADJ
cana-1657	120	10	analysis	analysis	NOUN
cana-1657	120	11	issn	issn	NOUN
cana-1657	120	12	:	:	PUNCT
cana-1657	120	13	1074	1074	NUM
cana-1657	120	14	-	-	PUNCT
cana-1657	120	15	133x	133x	NUM
cana-1657	120	16	vol	vol	NOUN
cana-1657	120	17	32	32	NUM
cana-1657	120	18	no	no	NOUN
cana-1657	120	19	.	.	NOUN
cana-1657	120	20	1	1	NUM
cana-1657	120	21	(	(	PUNCT
cana-1657	120	22	2025	2025	NUM
cana-1657	120	23	)	)	PUNCT
cana-1657	120	24	365	365	NUM
cana-1657	120	25	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	120	26	𝑔′′′	𝑔′′′	PROPN
cana-1657	120	27	(	(	PUNCT
cana-1657	120	28	1−	1−	NUM
cana-1657	120	29	𝜃	𝜃	NOUN
cana-1657	120	30	𝜃𝑟	𝜃𝑟	NOUN
cana-1657	120	31	)	)	PUNCT
cana-1657	121	1	+	+	CCONJ
cana-1657	121	2	𝜃′𝑔′′	𝜃′𝑔′′	ADV
cana-1657	121	3	𝜃𝑟(1−	𝜃𝑟(1−	PROPN
cana-1657	121	4	𝜃	𝜃	PROPN
cana-1657	121	5	𝜃𝑟	𝜃𝑟	NOUN
cana-1657	121	6	)	)	PUNCT
cana-1657	121	7	2	2	NUM
cana-1657	121	8	+	+	ADJ
cana-1657	121	9	𝑊𝑒𝑔	𝑊𝑒𝑔	PROPN
cana-1657	121	10	′′𝑔′′′	′′𝑔′′′	PROPN
cana-1657	121	11	+	+	X
cana-1657	121	12	(	(	PUNCT
cana-1657	121	13	𝑓	𝑓	PRON
cana-1657	121	14	+	+	NUM
cana-1657	121	15	𝑔)𝑔′′	𝑔)𝑔′′	NOUN
cana-1657	121	16	−	−	NOUN
cana-1657	121	17	𝑔′2	𝑔′2	ADV
cana-1657	121	18	−𝑀𝑔′	−𝑀𝑔′	X
cana-1657	121	19	=	=	PUNCT
cana-1657	121	20	0	0	PUNCT
cana-1657	121	21	(	(	PUNCT
cana-1657	121	22	15	15	NUM
cana-1657	121	23	)	)	PUNCT
cana-1657	121	24	(	(	PUNCT
cana-1657	121	25	1	1	NUM
cana-1657	121	26	+	+	CCONJ
cana-1657	121	27	휀1𝜃)𝜃	휀1𝜃)𝜃	PROPN
cana-1657	121	28	′′	′′	PROPN
cana-1657	121	29	+	+	CCONJ
cana-1657	121	30	𝑅𝑑𝜃′′	𝑅𝑑𝜃′′	PROPN
cana-1657	121	31	+	+	CCONJ
cana-1657	121	32	𝑃𝑟(𝑁𝑏(1	𝑃𝑟(𝑁𝑏(1	ADV
cana-1657	122	1	+	+	NUM
cana-1657	122	2	휀2𝜙)𝜙	휀2𝜙)𝜙	PROPN
cana-1657	122	3	′𝜃′	′𝜃′	NOUN
cana-1657	123	1	+	+	CCONJ
cana-1657	123	2	(	(	PUNCT
cana-1657	123	3	𝑁𝑡	𝑁𝑡	NOUN
cana-1657	123	4	+	+	CCONJ
cana-1657	123	5	휀1)𝜃	휀1)𝜃	ADJ
cana-1657	123	6	′2	′2	NOUN
cana-1657	123	7	+	+	CCONJ
cana-1657	123	8	(	(	PUNCT
cana-1657	123	9	𝑓	𝑓	PRON
cana-1657	123	10	+	+	X
cana-1657	123	11	𝑔)𝜃′	𝑔)𝜃′	NOUN
cana-1657	123	12	)	)	PUNCT
cana-1657	124	1	+	+	CCONJ
cana-1657	124	2	𝑀(𝐸𝑐𝑥𝑓	𝑀(𝐸𝑐𝑥𝑓	X
cana-1657	124	3	′2	′2	X
cana-1657	124	4	+	+	CCONJ
cana-1657	124	5	𝐸𝑐𝑦𝑔	𝐸𝑐𝑦𝑔	ADJ
cana-1657	124	6	′2	′2	NOUN
cana-1657	124	7	)	)	PUNCT
cana-1657	124	8	=	=	SYM
cana-1657	124	9	0	0	NUM
cana-1657	124	10	(	(	PUNCT
cana-1657	124	11	16	16	NUM
cana-1657	124	12	)	)	PUNCT
cana-1657	124	13	𝜙′′(1	𝜙′′(1	NOUN
cana-1657	124	14	+	+	CCONJ
cana-1657	124	15	휀2𝜙	휀2𝜙	NOUN
cana-1657	124	16	)	)	PUNCT
cana-1657	125	1	+	+	NUM
cana-1657	125	2	휀2𝜙	휀2𝜙	ADP
cana-1657	125	3	′2	′2	NOUN
cana-1657	125	4	+	+	CCONJ
cana-1657	125	5	𝑆𝑐((𝑓	𝑆𝑐((𝑓	NOUN
cana-1657	126	1	+	+	CCONJ
cana-1657	127	1	𝑔)𝜙′	𝑔)𝜙′	PROPN
cana-1657	127	2	−	−	PROPN
cana-1657	127	3	𝐾𝑟𝜙	𝐾𝑟𝜙	PROPN
cana-1657	127	4	)	)	PUNCT
cana-1657	128	1	+	+	CCONJ
cana-1657	128	2	𝑁𝑡	𝑁𝑡	PROPN
cana-1657	128	3	𝑁𝑏	𝑁𝑏	PROPN
cana-1657	128	4	𝜃′′	𝜃′′	NOUN
cana-1657	128	5	=	=	SYM
cana-1657	128	6	0	0	PUNCT
cana-1657	128	7	(	(	PUNCT
cana-1657	128	8	17	17	NUM
cana-1657	128	9	)	)	PUNCT
cana-1657	128	10	boundary	boundary	ADJ
cana-1657	128	11	conditions	condition	NOUN
cana-1657	128	12	transformed	transform	VERB
cana-1657	128	13	as	as	ADP
cana-1657	128	14	:	:	PUNCT
cana-1657	128	15	𝑓	𝑓	PROPN
cana-1657	128	16	=	=	SYM
cana-1657	128	17	𝑔	𝑔	NOUN
cana-1657	128	18	=	=	SYM
cana-1657	128	19	0	0	NUM
cana-1657	128	20	,	,	PUNCT
cana-1657	128	21	𝑓′(0	𝑓′(0	ADJ
cana-1657	128	22	)	)	PUNCT
cana-1657	128	23	=	=	SYM
cana-1657	128	24	𝐾1𝑓	𝐾1𝑓	PROPN
cana-1657	128	25	′′(0	′′(0	NOUN
cana-1657	128	26	)	)	PUNCT
cana-1657	128	27	+	+	NUM
cana-1657	128	28	1	1	NUM
cana-1657	128	29	,	,	PUNCT
cana-1657	128	30	𝑔′(0	𝑔′(0	NOUN
cana-1657	128	31	)	)	PUNCT
cana-1657	128	32	=	=	SYM
cana-1657	128	33	(	(	PUNCT
cana-1657	128	34	𝐾2𝑔	𝐾2𝑔	ADV
cana-1657	128	35	′′	′′	PROPN
cana-1657	128	36	+	+	CCONJ
cana-1657	128	37	1)𝛿	1)𝛿	NUM
cana-1657	128	38	,	,	PUNCT
cana-1657	128	39	𝜃′(0	𝜃′(0	NOUN
cana-1657	128	40	)	)	PUNCT
cana-1657	128	41	=	=	SYM
cana-1657	128	42	−𝐵𝑖(1	−𝐵𝑖(1	NUM
cana-1657	128	43	−	−	VERB
cana-1657	129	1	𝜃(0	𝜃(0	NOUN
cana-1657	129	2	)	)	PUNCT
cana-1657	129	3	)	)	PUNCT
cana-1657	129	4	,	,	PUNCT
cana-1657	129	5	𝑁𝑏𝜙′(0	𝑁𝑏𝜙′(0	PROPN
cana-1657	129	6	)	)	PUNCT
cana-1657	129	7	+	+	NUM
cana-1657	129	8	𝑁𝑡𝜃′(0	𝑁𝑡𝜃′(0	NOUN
cana-1657	129	9	)	)	PUNCT
cana-1657	129	10	=	=	SYM
cana-1657	129	11	0	0	NUM
cana-1657	129	12	,	,	PUNCT
cana-1657	129	13	𝑓(∞	𝑓(∞	ADV
cana-1657	129	14	)	)	PUNCT
cana-1657	129	15	→	→	SYM
cana-1657	129	16	0	0	NUM
cana-1657	129	17	,	,	PUNCT
cana-1657	129	18	𝑔(∞	𝑔(∞	ADJ
cana-1657	129	19	)	)	PUNCT
cana-1657	129	20	→	→	SYM
cana-1657	129	21	0	0	NUM
cana-1657	129	22	,	,	PUNCT
cana-1657	129	23	𝜃(∞	𝜃(∞	ADJ
cana-1657	129	24	)	)	PUNCT
cana-1657	129	25	→	→	SYM
cana-1657	129	26	0	0	NUM
cana-1657	129	27	,	,	PUNCT
cana-1657	129	28	𝜙(∞	𝜙(∞	NOUN
cana-1657	129	29	)	)	PUNCT
cana-1657	129	30	→	→	SYM
cana-1657	129	31	0	0	NUM
cana-1657	129	32	}	}	PUNCT
cana-1657	129	33	(	(	PUNCT
cana-1657	129	34	18	18	NUM
cana-1657	129	35	)	)	PUNCT
cana-1657	129	36	for	for	ADP
cana-1657	129	37	slip	slip	NOUN
cana-1657	129	38	parameters	parameter	NOUN
cana-1657	129	39	,	,	PUNCT
cana-1657	129	40	use	use	VERB
cana-1657	129	41	k1	k1	NOUN
cana-1657	129	42	and	and	CCONJ
cana-1657	129	43	k2	k2	NOUN
cana-1657	129	44	,	,	PUNCT
cana-1657	129	45	we	we	PRON
cana-1657	129	46	wiesenberger	wiesenberger	VERB
cana-1657	129	47	number	number	NOUN
cana-1657	129	48	schmidt	schmidt	NOUN
cana-1657	129	49	number	number	NOUN
cana-1657	129	50	is	be	AUX
cana-1657	129	51	denoted	denote	VERB
cana-1657	129	52	sc	sc	PROPN
cana-1657	129	53	,	,	PUNCT
cana-1657	129	54	thermophoresis	thermophoresis	NOUN
cana-1657	129	55	factor	factor	NOUN
cana-1657	129	56	nt	not	PART
cana-1657	129	57	,	,	PUNCT
cana-1657	129	58	thermal	thermal	ADJ
cana-1657	129	59	radiation	radiation	NOUN
cana-1657	129	60	factor	factor	NOUN
cana-1657	129	61	rd	rd	PROPN
cana-1657	129	62	,	,	PUNCT
cana-1657	129	63	𝐸𝑐𝑥	𝐸𝑐𝑥	PROPN
cana-1657	129	64	eckert	eckert	PROPN
cana-1657	129	65	number	number	NOUN
cana-1657	129	66	in	in	ADP
cana-1657	129	67	x	x	PROPN
cana-1657	129	68	axis	axis	NOUN
cana-1657	129	69	,	,	PUNCT
cana-1657	129	70	𝐸𝑐𝑦	𝐸𝑐𝑦	PROPN
cana-1657	129	71	eckert	eckert	PROPN
cana-1657	129	72	number	number	NOUN
cana-1657	129	73	in	in	ADP
cana-1657	129	74	y	y	PROPN
cana-1657	129	75	axis	axis	NOUN
cana-1657	129	76	,	,	PUNCT
cana-1657	129	77	the	the	DET
cana-1657	129	78	prandtl	prandtl	NOUN
cana-1657	129	79	number	number	NOUN
cana-1657	129	80	is	be	AUX
cana-1657	129	81	pr	pr	NOUN
cana-1657	129	82	,	,	PUNCT
cana-1657	129	83	the	the	DET
cana-1657	129	84	fluid	fluid	ADJ
cana-1657	129	85	viscosity	viscosity	NOUN
cana-1657	129	86	is	be	AUX
cana-1657	129	87	represented	represent	VERB
cana-1657	129	88	by	by	ADP
cana-1657	129	89	𝜃𝑟	𝜃𝑟	ADP
cana-1657	129	90	,	,	PUNCT
cana-1657	129	91	brownian	brownian	ADJ
cana-1657	129	92	diffusion	diffusion	NOUN
cana-1657	129	93	factor	factor	NOUN
cana-1657	129	94	is	be	AUX
cana-1657	129	95	nb	nb	PROPN
cana-1657	129	96	,	,	PUNCT
cana-1657	129	97	chemical	chemical	NOUN
cana-1657	129	98	process	process	NOUN
cana-1657	129	99	𝐾𝑟	𝐾𝑟	PROPN
cana-1657	129	100	,	,	PUNCT
cana-1657	129	101	magnetic	magnetic	ADJ
cana-1657	129	102	field	field	NOUN
cana-1657	129	103	parameter	parameter	PROPN
cana-1657	129	104	m	m	PROPN
cana-1657	129	105	,	,	PUNCT
cana-1657	129	106	biot	biot	ADJ
cana-1657	129	107	number	number	NOUN
cana-1657	129	108	bi	bi	PROPN
cana-1657	129	109	,	,	PUNCT
cana-1657	129	110	𝛿	𝛿	PROPN
cana-1657	129	111	is	be	AUX
cana-1657	129	112	stretching	stretch	VERB
cana-1657	129	113	rate	rate	NOUN
cana-1657	129	114	/	/	SYM
cana-1657	129	115	ratio	ratio	NOUN
cana-1657	129	116	parameter	parameter	NOUN
cana-1657	129	117	,	,	PUNCT
cana-1657	129	118	𝜃𝑟	𝜃𝑟	CCONJ
cana-1657	129	119	=	=	NOUN
cana-1657	129	120	𝑇𝑟−𝑇∞	𝑇𝑟−𝑇∞	ADJ
cana-1657	129	121	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	NOUN
cana-1657	129	122	,	,	PUNCT
cana-1657	129	123	𝑃𝑟	𝑃𝑟	PROPN
cana-1657	129	124	=	=	SYM
cana-1657	129	125	𝜈𝑓	𝜈𝑓	PROPN
cana-1657	129	126	𝛼𝑓	𝛼𝑓	PROPN
cana-1657	129	127	,	,	PUNCT
cana-1657	130	1	𝐾1	𝐾1	PROPN
cana-1657	130	2	=	=	SYM
cana-1657	130	3	𝑘1√	𝑘1√	PROPN
cana-1657	130	4	𝑎	𝑎	PROPN
cana-1657	130	5	𝜈𝑓	𝜈𝑓	NOUN
cana-1657	130	6	,	,	PUNCT
cana-1657	130	7	𝐾2	𝐾2	NOUN
cana-1657	130	8	=	=	PUNCT
cana-1657	130	9	𝑘2𝑎	𝑘2𝑎	PROPN
cana-1657	130	10	𝛿	𝛿	ADJ
cana-1657	130	11	(	(	PUNCT
cana-1657	130	12	√	√	NUM
cana-1657	130	13	𝑎	𝑎	NOUN
cana-1657	130	14	𝜈𝑓	𝜈𝑓	NOUN
cana-1657	130	15	)	)	PUNCT
cana-1657	130	16	,	,	PUNCT
cana-1657	131	1	𝐵𝑖	𝐵𝑖	PROPN
cana-1657	131	2	=	=	PRON
cana-1657	131	3	ℎ𝑓	ℎ𝑓	PROPN
cana-1657	131	4	𝑘𝑓	𝑘𝑓	INTJ
cana-1657	131	5	√	√	PROPN
cana-1657	131	6	𝜈𝑓	𝜈𝑓	PROPN
cana-1657	131	7	𝑎	𝑎	X
cana-1657	131	8	,	,	PUNCT
cana-1657	131	9	𝛿	𝛿	ADJ
cana-1657	131	10	=	=	X
cana-1657	131	11	𝑏	𝑏	SYM
cana-1657	131	12	𝑎	𝑎	NOUN
cana-1657	131	13	,	,	PUNCT
cana-1657	131	14	𝑀	𝑀	PROPN
cana-1657	131	15	=	=	PUNCT
cana-1657	131	16	𝜎𝐵𝑜	𝜎𝐵𝑜	NUM
cana-1657	131	17	2	2	NUM
cana-1657	131	18	𝜌𝑓𝑎	𝜌𝑓𝑎	NOUN
cana-1657	131	19	,	,	PUNCT
cana-1657	131	20	𝑆𝑐	𝑆𝑐	PROPN
cana-1657	131	21	=	=	PUNCT
cana-1657	131	22	𝜈𝑓	𝜈𝑓	PROPN
cana-1657	131	23	𝐷𝐵𝑓	𝐷𝐵𝑓	NOUN
cana-1657	131	24	,	,	PUNCT
cana-1657	131	25	𝑁𝑏	𝑁𝑏	PROPN
cana-1657	131	26	=	=	PUNCT
cana-1657	131	27	𝜏𝐷𝐵(𝐶𝑤−𝐶∞	𝜏𝐷𝐵(𝐶𝑤−𝐶∞	PROPN
cana-1657	131	28	)	)	PUNCT
cana-1657	131	29	𝜈𝑓	𝜈𝑓	NOUN
cana-1657	131	30	,	,	PUNCT
cana-1657	131	31	𝑁𝑡	𝑁𝑡	PROPN
cana-1657	131	32	=	=	PUNCT
cana-1657	131	33	𝜏𝐷𝑇(𝑇𝑤−𝑇∞	𝜏𝐷𝑇(𝑇𝑤−𝑇∞	ADJ
cana-1657	131	34	)	)	PUNCT
cana-1657	131	35	𝑇∞𝜈𝑓	𝑇∞𝜈𝑓	NOUN
cana-1657	131	36	,	,	PUNCT
cana-1657	132	1	𝑊𝑒	𝑊𝑒	NOUN
cana-1657	132	2	=	=	PUNCT
cana-1657	132	3	√	√	NUM
cana-1657	132	4	2	2	NUM
cana-1657	132	5	𝜈𝑓	𝜈𝑓	NOUN
cana-1657	132	6	𝑎𝑥γ	𝑎𝑥γ	NOUN
cana-1657	132	7	,	,	PUNCT
cana-1657	132	8	𝑅𝑑	𝑅𝑑	PROPN
cana-1657	132	9	=	=	SYM
cana-1657	132	10	16𝜎𝑇∞	16𝜎𝑇∞	NUM
cana-1657	132	11	3	3	NUM
cana-1657	132	12	3𝑘∗𝑘𝑓	3𝑘∗𝑘𝑓	NUM
cana-1657	132	13	.	.	PUNCT
cana-1657	133	1	physical	physical	ADJ
cana-1657	133	2	quantities	quantity	NOUN
cana-1657	133	3	are	be	AUX
cana-1657	133	4	the	the	DET
cana-1657	133	5	surface	surface	NOUN
cana-1657	133	6	skin	skin	NOUN
cana-1657	133	7	friction	friction	NOUN
cana-1657	133	8	coefficient	coefficient	NOUN
cana-1657	133	9	𝐶𝑓𝑥	𝐶𝑓𝑥	PROPN
cana-1657	133	10	,	,	PUNCT
cana-1657	133	11	𝐶𝑓𝑦	𝐶𝑓𝑦	PROPN
cana-1657	133	12	and	and	CCONJ
cana-1657	133	13	the	the	DET
cana-1657	133	14	local	local	ADJ
cana-1657	133	15	heat	heat	NOUN
cana-1657	133	16	flux	flux	NOUN
cana-1657	133	17	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1657	133	18	are	be	AUX
cana-1657	133	19	defined	define	VERB
cana-1657	133	20	as	as	ADP
cana-1657	133	21	𝐶𝑓𝑥	𝐶𝑓𝑥	PROPN
cana-1657	133	22	=	=	PUNCT
cana-1657	133	23	𝜈𝑓𝜏𝑤𝑥	𝜈𝑓𝜏𝑤𝑥	NOUN
cana-1657	133	24	𝑢𝑤	𝑢𝑤	PROPN
cana-1657	133	25	2	2	NUM
cana-1657	133	26	,	,	PUNCT
cana-1657	133	27	𝐶𝑓𝑦	𝐶𝑓𝑦	PROPN
cana-1657	133	28	=	=	PUNCT
cana-1657	133	29	𝜈𝑓𝜏𝑤𝑦	𝜈𝑓𝜏𝑤𝑦	VERB
cana-1657	133	30	𝑣𝑤	𝑣𝑤	PROPN
cana-1657	133	31	2	2	NUM
cana-1657	133	32	𝑁𝑢𝑥	𝑁𝑢𝑥	PROPN
cana-1657	133	33	=	=	PUNCT
cana-1657	133	34	𝑥𝐽𝑤	𝑥𝐽𝑤	NOUN
cana-1657	133	35	𝛼𝑓(𝑇𝑤−𝑇∞	𝛼𝑓(𝑇𝑤−𝑇∞	NOUN
cana-1657	133	36	)	)	PUNCT
cana-1657	133	37	𝜏𝑤𝑥	𝜏𝑤𝑥	PROPN
cana-1657	133	38	=	=	SYM
cana-1657	133	39	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	133	40	(	(	PUNCT
cana-1657	133	41	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	133	42	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	133	43	+	+	CCONJ
cana-1657	133	44	γ	γ	X
cana-1657	133	45	√2	√2	PROPN
cana-1657	133	46	(	(	PUNCT
cana-1657	133	47	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	133	48	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	133	49	)	)	PUNCT
cana-1657	133	50	2	2	NUM
cana-1657	133	51	)	)	PUNCT
cana-1657	133	52	𝑧=0	𝑧=0	PROPN
cana-1657	133	53	𝜏𝑤𝑦	𝜏𝑤𝑦	PROPN
cana-1657	133	54	=	=	SYM
cana-1657	133	55	𝜇𝑓	𝜇𝑓	PROPN
cana-1657	133	56	(	(	PUNCT
cana-1657	133	57	𝜕𝑣	𝜕𝑣	PROPN
cana-1657	133	58	𝜕𝑧	𝜕𝑧	PROPN
cana-1657	133	59	+	+	CCONJ
cana-1657	133	60	γ	γ	X
cana-1657	133	61	√2	√2	PROPN
cana-1657	133	62	(	(	PUNCT
cana-1657	133	63	𝜕𝑢	𝜕𝑢	NOUN
cana-1657	133	64	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	133	65	)	)	PUNCT
cana-1657	133	66	2	2	NUM
cana-1657	133	67	)	)	PUNCT
cana-1657	133	68	𝑧=0	𝑧=0	PUNCT
cana-1657	134	1	𝐽𝑤	𝐽𝑤	PROPN
cana-1657	134	2	=	=	PUNCT
cana-1657	134	3	−𝛼𝑓	−𝛼𝑓	X
cana-1657	134	4	(	(	PUNCT
cana-1657	134	5	𝜕𝑇	𝜕𝑇	X
cana-1657	134	6	𝜕𝑧	𝜕𝑧	NOUN
cana-1657	134	7	)	)	PUNCT
cana-1657	134	8	𝑧=0	𝑧=0	X
cana-1657	134	9	}	}	PUNCT
cana-1657	134	10	(	(	PUNCT
cana-1657	134	11	19	19	NUM
cana-1657	134	12	)	)	PUNCT
cana-1657	134	13	transformed	transform	VERB
cana-1657	134	14	quantities	quantity	NOUN
cana-1657	134	15	are	be	AUX
cana-1657	134	16	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	134	17	0.5𝐶𝑓𝑥	0.5𝐶𝑓𝑥	NUM
cana-1657	134	18	=	=	SYM
cana-1657	134	19	{	{	PUNCT
cana-1657	134	20	𝑓	𝑓	X
cana-1657	134	21	′′(0	′′(0	X
cana-1657	134	22	)	)	PUNCT
cana-1657	134	23	+	+	NOUN
cana-1657	134	24	𝑊𝑒𝑓′′(0)2	𝑊𝑒𝑓′′(0)2	ADJ
cana-1657	134	25	}	}	PUNCT
cana-1657	134	26	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	134	27	0.5𝐶𝑓𝑦	0.5𝐶𝑓𝑦	NOUN
cana-1657	134	28	=	=	SYM
cana-1657	134	29	{	{	PUNCT
cana-1657	134	30	𝑔′′(0	𝑔′′(0	NOUN
cana-1657	134	31	)	)	PUNCT
cana-1657	135	1	+	+	NOUN
cana-1657	135	2	𝑊𝑒𝑔′′(0)2	𝑊𝑒𝑔′′(0)2	NOUN
cana-1657	135	3	}	}	PUNCT
cana-1657	135	4	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	135	5	−0.5𝑁𝑢𝑥	−0.5𝑁𝑢𝑥	ADJ
cana-1657	135	6	=	=	PUNCT
cana-1657	135	7	−(1	−(1	NOUN
cana-1657	135	8	+	+	NUM
cana-1657	135	9	𝑅𝑑)𝜃′(0	𝑅𝑑)𝜃′(0	NUM
cana-1657	135	10	)	)	PUNCT
cana-1657	135	11	𝑅𝑒𝑥	𝑅𝑒𝑥	ADJ
cana-1657	135	12	−0.5𝑆ℎ𝑥	−0.5𝑆ℎ𝑥	NOUN
cana-1657	135	13	=	=	SYM
cana-1657	135	14	−𝜙′(0	−𝜙′(0	PROPN
cana-1657	135	15	)	)	PUNCT
cana-1657	135	16	}	}	PUNCT
cana-1657	135	17	(	(	PUNCT
cana-1657	135	18	20	20	X
cana-1657	135	19	)	)	PUNCT
cana-1657	135	20	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	135	21	&	&	CCONJ
cana-1657	135	22	𝑅𝑒𝑦	𝑅𝑒𝑦	ADV
cana-1657	135	23	represents	represent	VERB
cana-1657	135	24	local	local	ADJ
cana-1657	135	25	reynolds	reynold	NOUN
cana-1657	135	26	number	number	NOUN
cana-1657	135	27	3	3	NUM
cana-1657	135	28	.	.	PUNCT
cana-1657	136	1	numerical	numerical	ADJ
cana-1657	136	2	algorithm	algorithm	PROPN
cana-1657	136	3	higher	high	ADJ
cana-1657	136	4	-	-	PUNCT
cana-1657	136	5	order	order	NOUN
cana-1657	136	6	differential	differential	ADJ
cana-1657	136	7	equations	equation	NOUN
cana-1657	136	8	are	be	AUX
cana-1657	136	9	transformed	transform	VERB
cana-1657	136	10	into	into	ADP
cana-1657	136	11	a	a	DET
cana-1657	136	12	set	set	NOUN
cana-1657	136	13	of	of	ADP
cana-1657	136	14	first	first	ADJ
cana-1657	136	15	-	-	PUNCT
cana-1657	136	16	order	order	NOUN
cana-1657	136	17	odes	ode	NOUN
cana-1657	136	18	.	.	PUNCT
cana-1657	137	1	use	use	VERB
cana-1657	137	2	the	the	DET
cana-1657	137	3	matlab	matlab	PROPN
cana-1657	137	4	bvp4c	bvp4c	PROPN
cana-1657	137	5	function	function	NOUN
cana-1657	137	6	to	to	PART
cana-1657	137	7	numerically	numerically	ADV
cana-1657	137	8	solve	solve	VERB
cana-1657	137	9	the	the	DET
cana-1657	137	10	boundary	boundary	ADJ
cana-1657	137	11	value	value	NOUN
cana-1657	137	12	problem	problem	NOUN
cana-1657	137	13	(	(	PUNCT
cana-1657	137	14	bvp	bvp	PROPN
cana-1657	137	15	)	)	PUNCT
cana-1657	137	16	.	.	PUNCT
cana-1657	138	1	grid	grid	NOUN
cana-1657	138	2	analysis	analysis	NOUN
cana-1657	138	3	verifies	verifie	NOUN
cana-1657	138	4	the	the	DET
cana-1657	138	5	communications	communication	NOUN
cana-1657	138	6	on	on	ADP
cana-1657	138	7	applied	apply	VERB
cana-1657	138	8	nonlinear	nonlinear	ADJ
cana-1657	138	9	analysis	analysis	NOUN
cana-1657	138	10	issn	issn	NOUN
cana-1657	138	11	:	:	PUNCT
cana-1657	138	12	1074	1074	NUM
cana-1657	138	13	-	-	PUNCT
cana-1657	138	14	133x	133x	NUM
cana-1657	138	15	vol	vol	NOUN
cana-1657	138	16	32	32	NUM
cana-1657	138	17	no	no	NOUN
cana-1657	138	18	.	.	NOUN
cana-1657	138	19	1	1	NUM
cana-1657	138	20	(	(	PUNCT
cana-1657	138	21	2025	2025	NUM
cana-1657	138	22	)	)	PUNCT
cana-1657	138	23	366	366	NUM
cana-1657	138	24	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	138	25	solution	solution	NOUN
cana-1657	138	26	’s	’s	PART
cana-1657	138	27	dependability	dependability	NOUN
cana-1657	138	28	and	and	CCONJ
cana-1657	138	29	precision	precision	NOUN
cana-1657	138	30	.	.	PUNCT
cana-1657	139	1	the	the	DET
cana-1657	139	2	bvp4c	bvp4c	PROPN
cana-1657	139	3	function	function	NOUN
cana-1657	139	4	effectively	effectively	ADV
cana-1657	139	5	manages	manage	VERB
cana-1657	139	6	the	the	DET
cana-1657	139	7	modified	modify	VERB
cana-1657	139	8	firstorder	firstorder	NOUN
cana-1657	139	9	odes	ode	NOUN
cana-1657	139	10	and	and	CCONJ
cana-1657	139	11	boundary	boundary	ADJ
cana-1657	139	12	conditions	condition	NOUN
cana-1657	139	13	.	.	PUNCT
cana-1657	140	1	4	4	X
cana-1657	140	2	.	.	NOUN
cana-1657	140	3	results	result	NOUN
cana-1657	140	4	and	and	CCONJ
cana-1657	140	5	discussions	discussion	NOUN
cana-1657	140	6	figure	figure	NOUN
cana-1657	140	7	2	2	NUM
cana-1657	140	8	and	and	CCONJ
cana-1657	140	9	3	3	NUM
cana-1657	140	10	present	present	VERB
cana-1657	140	11	the	the	DET
cana-1657	140	12	results	result	NOUN
cana-1657	140	13	of	of	ADP
cana-1657	140	14	the	the	DET
cana-1657	140	15	inquiry	inquiry	NOUN
cana-1657	140	16	into	into	ADP
cana-1657	140	17	how	how	SCONJ
cana-1657	140	18	the	the	DET
cana-1657	140	19	magnetic	magnetic	ADJ
cana-1657	140	20	number	number	NOUN
cana-1657	140	21	and	and	CCONJ
cana-1657	140	22	williamson	williamson	PROPN
cana-1657	140	23	parameter	parameter	PROPN
cana-1657	140	24	affect	affect	VERB
cana-1657	140	25	velocity	velocity	NOUN
cana-1657	140	26	in	in	ADP
cana-1657	140	27	the	the	DET
cana-1657	140	28	x	x	NOUN
cana-1657	140	29	and	and	CCONJ
cana-1657	140	30	y	y	PROPN
cana-1657	140	31	directions	direction	NOUN
cana-1657	140	32	,	,	PUNCT
cana-1657	140	33	respectively	respectively	ADV
cana-1657	140	34	.	.	PUNCT
cana-1657	141	1	lorentz	lorentz	PROPN
cana-1657	141	2	forces	force	NOUN
cana-1657	141	3	provide	provide	VERB
cana-1657	141	4	an	an	DET
cana-1657	141	5	inverse	inverse	NOUN
cana-1657	141	6	relationship	relationship	NOUN
cana-1657	141	7	between	between	ADP
cana-1657	141	8	the	the	DET
cana-1657	141	9	magnetic	magnetic	ADJ
cana-1657	141	10	number	number	NOUN
cana-1657	141	11	and	and	CCONJ
cana-1657	141	12	the	the	DET
cana-1657	141	13	velocity	velocity	NOUN
cana-1657	141	14	in	in	ADP
cana-1657	141	15	the	the	DET
cana-1657	141	16	x	x	NOUN
cana-1657	141	17	and	and	CCONJ
cana-1657	141	18	y	y	PROPN
cana-1657	141	19	directions	direction	NOUN
cana-1657	141	20	.	.	PUNCT
cana-1657	142	1	the	the	DET
cana-1657	142	2	velocity	velocity	NOUN
cana-1657	142	3	is	be	AUX
cana-1657	142	4	slowed	slow	VERB
cana-1657	142	5	down	down	ADP
cana-1657	142	6	in	in	ADP
cana-1657	142	7	the	the	DET
cana-1657	142	8	x	x	NOUN
cana-1657	142	9	and	and	CCONJ
cana-1657	142	10	y	y	PROPN
cana-1657	142	11	axes	axis	NOUN
cana-1657	142	12	directions	direction	NOUN
cana-1657	142	13	by	by	ADP
cana-1657	142	14	the	the	DET
cana-1657	142	15	williamson	williamson	PROPN
cana-1657	142	16	parameter	parameter	PROPN
cana-1657	142	17	augmentation	augmentation	PROPN
cana-1657	142	18	.	.	PUNCT
cana-1657	143	1	williamson	williamson	NOUN
cana-1657	143	2	parameter	parameter	NOUN
cana-1657	143	3	and	and	CCONJ
cana-1657	143	4	viscosity	viscosity	NOUN
cana-1657	143	5	are	be	AUX
cana-1657	143	6	directly	directly	ADV
cana-1657	143	7	related	relate	VERB
cana-1657	143	8	.	.	PUNCT
cana-1657	144	1	the	the	DET
cana-1657	144	2	fluid	fluid	NOUN
cana-1657	144	3	’s	’s	PART
cana-1657	144	4	velocity	velocity	NOUN
cana-1657	144	5	slows	slow	VERB
cana-1657	144	6	down	down	ADP
cana-1657	144	7	as	as	ADP
cana-1657	144	8	a	a	DET
cana-1657	144	9	result	result	NOUN
cana-1657	144	10	of	of	ADP
cana-1657	144	11	its	its	PRON
cana-1657	144	12	viscosity	viscosity	NOUN
cana-1657	144	13	.	.	PUNCT
cana-1657	145	1	the	the	DET
cana-1657	145	2	presence	presence	NOUN
cana-1657	145	3	of	of	ADP
cana-1657	145	4	the	the	DET
cana-1657	145	5	stretching	stretch	VERB
cana-1657	145	6	ratio	ratio	NOUN
cana-1657	145	7	parameter	parameter	PROPN
cana-1657	145	8	delta	delta	PROPN
cana-1657	145	9	on	on	ADP
cana-1657	145	10	𝑔′	𝑔′	PROPN
cana-1657	145	11	,	,	PUNCT
cana-1657	145	12	the	the	DET
cana-1657	145	13	slip	slip	NOUN
cana-1657	145	14	constants	constant	VERB
cana-1657	145	15	k1	k1	PROPN
cana-1657	145	16	on	on	ADP
cana-1657	145	17	𝑓′	𝑓′	NUM
cana-1657	145	18	,	,	PUNCT
cana-1657	145	19	and	and	CCONJ
cana-1657	145	20	k2	k2	NOUN
cana-1657	145	21	on	on	ADP
cana-1657	145	22	𝑔′	𝑔′	PROPN
cana-1657	145	23	,	,	PUNCT
cana-1657	145	24	along	along	ADP
cana-1657	145	25	with	with	ADP
cana-1657	145	26	higher	high	ADJ
cana-1657	145	27	magnetic	magnetic	ADJ
cana-1657	145	28	parameter	parameter	NOUN
cana-1657	145	29	values	value	NOUN
cana-1657	145	30	,	,	PUNCT
cana-1657	145	31	result	result	VERB
cana-1657	145	32	in	in	ADP
cana-1657	145	33	a	a	DET
cana-1657	145	34	strong	strong	ADJ
cana-1657	145	35	lorentz	lorentz	PROPN
cana-1657	145	36	force	force	NOUN
cana-1657	145	37	that	that	PRON
cana-1657	145	38	drives	drive	VERB
cana-1657	145	39	liquid	liquid	ADJ
cana-1657	145	40	motion	motion	NOUN
cana-1657	145	41	,	,	PUNCT
cana-1657	145	42	as	as	SCONJ
cana-1657	145	43	seen	see	VERB
cana-1657	145	44	in	in	ADP
cana-1657	145	45	figure	figure	NOUN
cana-1657	145	46	4	4	NUM
cana-1657	145	47	and	and	CCONJ
cana-1657	145	48	5	5	NUM
cana-1657	145	49	.	.	PUNCT
cana-1657	146	1	as	as	ADP
cana-1657	146	2	a	a	DET
cana-1657	146	3	consequence	consequence	NOUN
cana-1657	146	4	,	,	PUNCT
cana-1657	146	5	decrease	decrease	VERB
cana-1657	146	6	the	the	DET
cana-1657	146	7	velocity	velocity	NOUN
cana-1657	146	8	profiles	profile	NOUN
cana-1657	146	9	for	for	ADP
cana-1657	146	10	slips	slip	NOUN
cana-1657	146	11	and	and	CCONJ
cana-1657	146	12	increases	increase	VERB
cana-1657	146	13	with	with	ADP
cana-1657	146	14	stretching	stretch	VERB
cana-1657	146	15	ratio	ratio	NOUN
cana-1657	146	16	parameter	parameter	NOUN
cana-1657	146	17	.	.	PUNCT
cana-1657	147	1	when	when	SCONJ
cana-1657	147	2	the	the	DET
cana-1657	147	3	radiation	radiation	NOUN
cana-1657	147	4	and	and	CCONJ
cana-1657	147	5	magnetic	magnetic	ADJ
cana-1657	147	6	parameters	parameter	NOUN
cana-1657	147	7	are	be	AUX
cana-1657	147	8	augmented	augment	VERB
cana-1657	147	9	and	and	CCONJ
cana-1657	147	10	their	their	PRON
cana-1657	147	11	impact	impact	NOUN
cana-1657	147	12	on	on	ADP
cana-1657	147	13	temperature	temperature	NOUN
cana-1657	147	14	is	be	AUX
cana-1657	147	15	investigated	investigate	VERB
cana-1657	147	16	in	in	ADP
cana-1657	147	17	figure	figure	NOUN
cana-1657	147	18	6	6	NUM
cana-1657	147	19	,	,	PUNCT
cana-1657	147	20	it	it	PRON
cana-1657	147	21	is	be	AUX
cana-1657	147	22	discovered	discover	VERB
cana-1657	147	23	that	that	SCONJ
cana-1657	147	24	they	they	PRON
cana-1657	147	25	are	be	AUX
cana-1657	147	26	exactly	exactly	ADV
cana-1657	147	27	proportional	proportional	ADJ
cana-1657	147	28	to	to	ADP
cana-1657	147	29	one	one	NUM
cana-1657	147	30	another	another	DET
cana-1657	147	31	.	.	PUNCT
cana-1657	148	1	the	the	DET
cana-1657	148	2	eckert	eckert	PROPN
cana-1657	148	3	number	number	NOUN
cana-1657	148	4	influence	influence	NOUN
cana-1657	148	5	on	on	ADP
cana-1657	148	6	the	the	DET
cana-1657	148	7	temperature	temperature	NOUN
cana-1657	148	8	profile	profile	NOUN
cana-1657	148	9	is	be	AUX
cana-1657	148	10	seen	see	VERB
cana-1657	148	11	in	in	ADP
cana-1657	148	12	figure	figure	NOUN
cana-1657	148	13	7	7	NUM
cana-1657	148	14	.	.	PUNCT
cana-1657	149	1	the	the	DET
cana-1657	149	2	combination	combination	NOUN
cana-1657	149	3	of	of	ADP
cana-1657	149	4	thermal	thermal	ADJ
cana-1657	149	5	diffusion	diffusion	NOUN
cana-1657	149	6	,	,	PUNCT
cana-1657	149	7	cooling	cool	VERB
cana-1657	149	8	mechanisms	mechanism	NOUN
cana-1657	149	9	,	,	PUNCT
cana-1657	149	10	and	and	CCONJ
cana-1657	149	11	viscous	viscous	ADJ
cana-1657	149	12	dissipation	dissipation	NOUN
cana-1657	149	13	may	may	AUX
cana-1657	149	14	cause	cause	VERB
cana-1657	149	15	the	the	DET
cana-1657	149	16	total	total	ADJ
cana-1657	149	17	temperature	temperature	NOUN
cana-1657	149	18	profile	profile	NOUN
cana-1657	149	19	to	to	PART
cana-1657	149	20	show	show	VERB
cana-1657	149	21	a	a	DET
cana-1657	149	22	slower	slow	ADJ
cana-1657	149	23	rate	rate	NOUN
cana-1657	149	24	of	of	ADP
cana-1657	149	25	decline	decline	NOUN
cana-1657	149	26	,	,	PUNCT
cana-1657	149	27	even	even	ADV
cana-1657	149	28	though	though	SCONJ
cana-1657	149	29	a	a	DET
cana-1657	149	30	higher	high	ADJ
cana-1657	149	31	eckert	eckert	PROPN
cana-1657	149	32	number	number	NOUN
cana-1657	149	33	typically	typically	ADV
cana-1657	149	34	indicates	indicate	VERB
cana-1657	149	35	a	a	DET
cana-1657	149	36	faster	fast	ADJ
cana-1657	149	37	conversion	conversion	NOUN
cana-1657	149	38	of	of	ADP
cana-1657	149	39	kinetic	kinetic	ADJ
cana-1657	149	40	energy	energy	NOUN
cana-1657	149	41	to	to	ADP
cana-1657	149	42	thermal	thermal	ADJ
cana-1657	149	43	energy	energy	NOUN
cana-1657	149	44	.	.	PUNCT
cana-1657	150	1	figure.2	figure.2	ADJ
cana-1657	150	2	impact	impact	NOUN
cana-1657	150	3	of	of	ADP
cana-1657	150	4	we	we	PRON
cana-1657	150	5	,	,	PUNCT
cana-1657	150	6	m	m	VERB
cana-1657	150	7	on	on	ADP
cana-1657	150	8	𝑓′(𝜂	𝑓′(𝜂	ADJ
cana-1657	150	9	)	)	PUNCT
cana-1657	150	10	figure.3	figure.3	PROPN
cana-1657	150	11	impact	impact	NOUN
cana-1657	150	12	of	of	ADP
cana-1657	150	13	we	we	PRON
cana-1657	150	14	,	,	PUNCT
cana-1657	150	15	m	m	VERB
cana-1657	150	16	on	on	ADP
cana-1657	150	17	𝑔′(𝜂	𝑔′(𝜂	ADV
cana-1657	150	18	)	)	PUNCT
cana-1657	150	19	figure.4	figure.4	NOUN
cana-1657	150	20	impact	impact	NOUN
cana-1657	150	21	of	of	ADP
cana-1657	150	22	k1	k1	NOUN
cana-1657	150	23	on	on	ADP
cana-1657	150	24	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1657	150	25	)	)	PUNCT
cana-1657	150	26	figure.5	figure.5	PROPN
cana-1657	150	27	impact	impact	NOUN
cana-1657	150	28	of	of	ADP
cana-1657	150	29	k2	k2	NOUN
cana-1657	150	30	,	,	PUNCT
cana-1657	150	31	𝛿	𝛿	ADJ
cana-1657	150	32	on	on	ADP
cana-1657	150	33	𝑔′(𝜂	𝑔′(𝜂	NOUN
cana-1657	150	34	)	)	PUNCT
cana-1657	150	35	communications	communication	NOUN
cana-1657	150	36	on	on	ADP
cana-1657	150	37	applied	apply	VERB
cana-1657	150	38	nonlinear	nonlinear	ADJ
cana-1657	150	39	analysis	analysis	NOUN
cana-1657	150	40	issn	issn	NOUN
cana-1657	150	41	:	:	PUNCT
cana-1657	150	42	1074	1074	NUM
cana-1657	150	43	-	-	PUNCT
cana-1657	150	44	133x	133x	NUM
cana-1657	150	45	vol	vol	NOUN
cana-1657	150	46	32	32	NUM
cana-1657	150	47	no	no	NOUN
cana-1657	150	48	.	.	NOUN
cana-1657	150	49	1	1	NUM
cana-1657	150	50	(	(	PUNCT
cana-1657	150	51	2025	2025	NUM
cana-1657	150	52	)	)	PUNCT
cana-1657	150	53	367	367	NUM
cana-1657	150	54	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	150	55	figure.6	figure.6	NOUN
cana-1657	150	56	impact	impact	NOUN
cana-1657	150	57	of	of	ADP
cana-1657	150	58	m	m	PROPN
cana-1657	150	59	,	,	PUNCT
cana-1657	150	60	rd	rd	PROPN
cana-1657	150	61	on	on	ADP
cana-1657	150	62	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1657	150	63	)	)	PUNCT
cana-1657	150	64	figure.7	figure.7	ADJ
cana-1657	150	65	impact	impact	NOUN
cana-1657	150	66	of	of	ADP
cana-1657	150	67	ecx	ecx	PROPN
cana-1657	150	68	,	,	PUNCT
cana-1657	150	69	ecy	ecy	VERB
cana-1657	150	70	on	on	ADP
cana-1657	150	71	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1657	150	72	)	)	PUNCT
cana-1657	150	73	figure.8	figure.8	NOUN
cana-1657	150	74	impact	impact	NOUN
cana-1657	150	75	of	of	ADP
cana-1657	150	76	pr	pr	NOUN
cana-1657	150	77	on	on	ADP
cana-1657	150	78	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1657	150	79	)	)	PUNCT
cana-1657	150	80	figure.9	figure.9	NOUN
cana-1657	150	81	impact	impact	NOUN
cana-1657	150	82	of	of	ADP
cana-1657	150	83	휀1	휀1	NOUN
cana-1657	150	84	,	,	PUNCT
cana-1657	150	85	휀2	휀2	VERB
cana-1657	150	86	on	on	ADP
cana-1657	150	87	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1657	150	88	)	)	PUNCT
cana-1657	150	89	figure	figure	NOUN
cana-1657	150	90	8	8	NUM
cana-1657	150	91	shows	show	VERB
cana-1657	150	92	variations	variation	NOUN
cana-1657	150	93	in	in	ADP
cana-1657	150	94	pr	pr	NOUN
cana-1657	150	95	on	on	ADP
cana-1657	150	96	the	the	DET
cana-1657	150	97	temperature	temperature	NOUN
cana-1657	150	98	distribution	distribution	NOUN
cana-1657	150	99	.	.	PUNCT
cana-1657	151	1	the	the	DET
cana-1657	151	2	profile	profile	NOUN
cana-1657	151	3	theta	theta	NOUN
cana-1657	151	4	is	be	AUX
cana-1657	151	5	shown	show	VERB
cana-1657	151	6	to	to	PART
cana-1657	151	7	shrink	shrink	VERB
cana-1657	151	8	with	with	ADP
cana-1657	151	9	increasing	increase	VERB
cana-1657	151	10	pr	pr	NOUN
cana-1657	151	11	values	value	NOUN
cana-1657	151	12	.	.	PUNCT
cana-1657	152	1	pr	pr	NOUN
cana-1657	152	2	values	value	NOUN
cana-1657	152	3	physically	physically	ADV
cana-1657	152	4	signify	signify	VERB
cana-1657	152	5	a	a	DET
cana-1657	152	6	strong	strong	ADJ
cana-1657	152	7	momentum	momentum	NOUN
cana-1657	152	8	diffusivity	diffusivity	NOUN
cana-1657	152	9	that	that	PRON
cana-1657	152	10	enhances	enhance	VERB
cana-1657	152	11	the	the	DET
cana-1657	152	12	fluid	fluid	ADJ
cana-1657	152	13	temperature	temperature	NOUN
cana-1657	152	14	.	.	PUNCT
cana-1657	153	1	therefore	therefore	ADV
cana-1657	153	2	,	,	PUNCT
cana-1657	153	3	the	the	DET
cana-1657	153	4	thermal	thermal	ADJ
cana-1657	153	5	diffusivity	diffusivity	NOUN
cana-1657	153	6	and	and	CCONJ
cana-1657	153	7	the	the	DET
cana-1657	153	8	thermal	thermal	ADJ
cana-1657	153	9	boundary	boundary	ADJ
cana-1657	153	10	layer	layer	NOUN
cana-1657	153	11	thickness	thickness	NOUN
cana-1657	153	12	of	of	ADP
cana-1657	153	13	pr	pr	NOUN
cana-1657	153	14	are	be	AUX
cana-1657	153	15	inverse	inverse	NOUN
cana-1657	153	16	proportional	proportional	NOUN
cana-1657	153	17	.	.	PUNCT
cana-1657	154	1	the	the	DET
cana-1657	154	2	impact	impact	NOUN
cana-1657	154	3	on	on	ADP
cana-1657	154	4	variable	variable	ADJ
cana-1657	154	5	species	specie	NOUN
cana-1657	154	6	diffusivity	diffusivity	NOUN
cana-1657	154	7	parameter	parameter	NOUN
cana-1657	154	8	휀2	휀2	PROPN
cana-1657	154	9	and	and	CCONJ
cana-1657	154	10	variable	variable	ADJ
cana-1657	154	11	thermal	thermal	ADJ
cana-1657	154	12	conductivity	conductivity	NOUN
cana-1657	154	13	parameter	parameter	NOUN
cana-1657	154	14	휀1on	휀1on	PUNCT
cana-1657	154	15	the	the	DET
cana-1657	154	16	temperature	temperature	NOUN
cana-1657	154	17	profile	profile	NOUN
cana-1657	154	18	is	be	AUX
cana-1657	154	19	shown	show	VERB
cana-1657	154	20	in	in	ADP
cana-1657	154	21	figure	figure	NOUN
cana-1657	154	22	9	9	NUM
cana-1657	154	23	.	.	PUNCT
cana-1657	154	24	with	with	ADP
cana-1657	154	25	an	an	DET
cana-1657	154	26	improvement	improvement	NOUN
cana-1657	154	27	,	,	PUNCT
cana-1657	154	28	the	the	DET
cana-1657	154	29	temperature	temperature	NOUN
cana-1657	154	30	profile	profile	NOUN
cana-1657	154	31	휀1	휀1	VERB
cana-1657	154	32	and	and	CCONJ
cana-1657	154	33	휀2	휀2	VERB
cana-1657	154	34	values	value	NOUN
cana-1657	154	35	rose	rise	VERB
cana-1657	154	36	.	.	PUNCT
cana-1657	155	1	figure.10	figure.10	PROPN
cana-1657	155	2	impact	impact	NOUN
cana-1657	155	3	of	of	ADP
cana-1657	155	4	bi	bi	NOUN
cana-1657	155	5	on	on	ADP
cana-1657	155	6	𝜃(𝜂	𝜃(𝜂	NOUN
cana-1657	155	7	)	)	PUNCT
cana-1657	155	8	figure.11	figure.11	VERB
cana-1657	155	9	impact	impact	NOUN
cana-1657	155	10	of	of	ADP
cana-1657	155	11	ecx	ecx	PROPN
cana-1657	155	12	,	,	PUNCT
cana-1657	155	13	ecy	ecy	VERB
cana-1657	155	14	on	on	ADP
cana-1657	155	15	𝜙(𝜂	𝜙(𝜂	NOUN
cana-1657	155	16	)	)	PUNCT
cana-1657	155	17	communications	communication	NOUN
cana-1657	155	18	on	on	ADP
cana-1657	155	19	applied	apply	VERB
cana-1657	155	20	nonlinear	nonlinear	ADJ
cana-1657	155	21	analysis	analysis	NOUN
cana-1657	155	22	issn	issn	NOUN
cana-1657	155	23	:	:	PUNCT
cana-1657	155	24	1074	1074	NUM
cana-1657	155	25	-	-	PUNCT
cana-1657	155	26	133x	133x	NUM
cana-1657	155	27	vol	vol	NOUN
cana-1657	155	28	32	32	NUM
cana-1657	155	29	no	no	NOUN
cana-1657	155	30	.	.	NOUN
cana-1657	155	31	1	1	NUM
cana-1657	155	32	(	(	PUNCT
cana-1657	155	33	2025	2025	NUM
cana-1657	155	34	)	)	PUNCT
cana-1657	156	1	368	368	NUM
cana-1657	156	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	156	3	figure	figure	NOUN
cana-1657	156	4	10	10	NUM
cana-1657	156	5	illustrates	illustrate	VERB
cana-1657	156	6	how	how	SCONJ
cana-1657	156	7	biot	biot	ADJ
cana-1657	156	8	number	number	NOUN
cana-1657	156	9	bi	bi	NOUN
cana-1657	156	10	affects	affect	VERB
cana-1657	156	11	the	the	DET
cana-1657	156	12	temperature	temperature	NOUN
cana-1657	156	13	profile	profile	NOUN
cana-1657	156	14	.	.	PUNCT
cana-1657	157	1	while	while	SCONJ
cana-1657	157	2	increasing	increase	VERB
cana-1657	157	3	bi	bi	NOUN
cana-1657	157	4	thickens	thicken	VERB
cana-1657	157	5	the	the	DET
cana-1657	157	6	thermal	thermal	ADJ
cana-1657	157	7	boundary	boundary	ADJ
cana-1657	157	8	layer	layer	NOUN
cana-1657	157	9	and	and	CCONJ
cana-1657	157	10	causes	cause	VERB
cana-1657	157	11	a	a	DET
cana-1657	157	12	fall	fall	NOUN
cana-1657	157	13	in	in	ADP
cana-1657	157	14	the	the	DET
cana-1657	157	15	temperature	temperature	NOUN
cana-1657	157	16	profile	profile	NOUN
cana-1657	157	17	,	,	PUNCT
cana-1657	157	18	raising	raise	VERB
cana-1657	157	19	bi	bi	ADJ
cana-1657	157	20	results	result	NOUN
cana-1657	157	21	in	in	ADP
cana-1657	157	22	a	a	DET
cana-1657	157	23	decrease	decrease	NOUN
cana-1657	157	24	in	in	ADP
cana-1657	157	25	the	the	DET
cana-1657	157	26	temperature	temperature	NOUN
cana-1657	157	27	profile	profile	NOUN
cana-1657	157	28	.	.	PUNCT
cana-1657	158	1	the	the	DET
cana-1657	158	2	reason	reason	NOUN
cana-1657	158	3	for	for	ADP
cana-1657	158	4	this	this	PRON
cana-1657	158	5	is	be	AUX
cana-1657	158	6	that	that	SCONJ
cana-1657	158	7	bi	bi	NOUN
cana-1657	158	8	is	be	AUX
cana-1657	158	9	inversely	inversely	ADV
cana-1657	158	10	proportional	proportional	ADJ
cana-1657	158	11	to	to	ADP
cana-1657	158	12	thermal	thermal	ADJ
cana-1657	158	13	conductivity	conductivity	NOUN
cana-1657	158	14	.	.	PUNCT
cana-1657	159	1	the	the	DET
cana-1657	159	2	concentration	concentration	NOUN
cana-1657	159	3	profile	profile	NOUN
cana-1657	159	4	is	be	AUX
cana-1657	159	5	enhanced	enhance	VERB
cana-1657	159	6	by	by	ADP
cana-1657	159	7	ecx	ecx	PROPN
cana-1657	159	8	and	and	CCONJ
cana-1657	159	9	ecy	ecy	PROPN
cana-1657	159	10	increase	increase	VERB
cana-1657	159	11	,	,	PUNCT
cana-1657	159	12	as	as	SCONJ
cana-1657	159	13	illustrated	illustrate	VERB
cana-1657	159	14	in	in	ADP
cana-1657	159	15	figure	figure	NOUN
cana-1657	159	16	11	11	NUM
cana-1657	159	17	.	.	PUNCT
cana-1657	160	1	figure	figure	VERB
cana-1657	160	2	12	12	NUM
cana-1657	160	3	depicts	depict	NOUN
cana-1657	160	4	how	how	SCONJ
cana-1657	160	5	varied	varied	ADJ
cana-1657	160	6	species	species	NOUN
cana-1657	160	7	diffusivity	diffusivity	NOUN
cana-1657	160	8	factor	factor	NOUN
cana-1657	160	9	휀2and	휀2and	NUM
cana-1657	160	10	variable	variable	ADJ
cana-1657	160	11	thermal	thermal	ADJ
cana-1657	160	12	conductivity	conductivity	NOUN
cana-1657	160	13	factor	factor	NOUN
cana-1657	160	14	휀1	휀1	NOUN
cana-1657	160	15	affect	affect	VERB
cana-1657	160	16	the	the	DET
cana-1657	160	17	concentration	concentration	NOUN
cana-1657	160	18	profile	profile	NOUN
cana-1657	160	19	.	.	PUNCT
cana-1657	161	1	as	as	SCONJ
cana-1657	161	2	the	the	DET
cana-1657	161	3	concentration	concentration	NOUN
cana-1657	161	4	profile	profile	NOUN
cana-1657	161	5	diminished	diminish	VERB
cana-1657	161	6	the	the	DET
cana-1657	161	7	휀1and	휀1and	PROPN
cana-1657	161	8	휀2values	휀2value	NOUN
cana-1657	161	9	increased	increase	VERB
cana-1657	161	10	.	.	PUNCT
cana-1657	162	1	figure	figure	NOUN
cana-1657	162	2	13	13	NUM
cana-1657	162	3	illustrates	illustrate	VERB
cana-1657	162	4	the	the	DET
cana-1657	162	5	effect	effect	NOUN
cana-1657	162	6	of	of	ADP
cana-1657	162	7	kr	kr	PROPN
cana-1657	162	8	(	(	PUNCT
cana-1657	162	9	chemical	chemical	NOUN
cana-1657	162	10	reaction	reaction	NOUN
cana-1657	162	11	)	)	PUNCT
cana-1657	162	12	and	and	CCONJ
cana-1657	162	13	sc	sc	PROPN
cana-1657	162	14	(	(	PUNCT
cana-1657	162	15	schmidt	schmidt	ADJ
cana-1657	162	16	number	number	NOUN
cana-1657	162	17	)	)	PUNCT
cana-1657	162	18	on	on	ADP
cana-1657	162	19	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1657	162	20	)	)	PUNCT
cana-1657	162	21	.	.	PUNCT
cana-1657	163	1	increasing	increase	VERB
cana-1657	163	2	kr	kr	PROPN
cana-1657	163	3	and	and	CCONJ
cana-1657	163	4	sc	sc	PROPN
cana-1657	163	5	reduces	reduce	VERB
cana-1657	163	6	nanoparticle	nanoparticle	NOUN
cana-1657	163	7	concentration	concentration	NOUN
cana-1657	163	8	.	.	PUNCT
cana-1657	164	1	sc	sc	PROPN
cana-1657	164	2	is	be	AUX
cana-1657	164	3	defined	define	VERB
cana-1657	164	4	physically	physically	ADV
cana-1657	164	5	as	as	ADP
cana-1657	164	6	the	the	DET
cana-1657	164	7	ratio	ratio	NOUN
cana-1657	164	8	of	of	ADP
cana-1657	164	9	viscous	viscous	ADJ
cana-1657	164	10	and	and	CCONJ
cana-1657	164	11	molecular	molecular	ADJ
cana-1657	164	12	diffusion	diffusion	NOUN
cana-1657	164	13	rates	rate	NOUN
cana-1657	164	14	.	.	PUNCT
cana-1657	165	1	increasing	increase	VERB
cana-1657	165	2	the	the	DET
cana-1657	165	3	schmidt	schmidt	ADJ
cana-1657	165	4	number	number	NOUN
cana-1657	165	5	reduces	reduce	VERB
cana-1657	165	6	mass	mass	ADJ
cana-1657	165	7	diffusivity	diffusivity	NOUN
cana-1657	165	8	,	,	PUNCT
cana-1657	165	9	which	which	PRON
cana-1657	165	10	causes	cause	VERB
cana-1657	165	11	the	the	DET
cana-1657	165	12	concentration	concentration	NOUN
cana-1657	165	13	sketch	sketch	NOUN
cana-1657	165	14	for	for	SCONJ
cana-1657	165	15	sc	sc	PROPN
cana-1657	165	16	to	to	PART
cana-1657	165	17	decrease	decrease	VERB
cana-1657	165	18	.	.	PUNCT
cana-1657	166	1	figure.12	figure.12	PROPN
cana-1657	166	2	impact	impact	NOUN
cana-1657	166	3	of	of	ADP
cana-1657	166	4	휀1	휀1	NOUN
cana-1657	166	5	,	,	PUNCT
cana-1657	166	6	휀2	휀2	VERB
cana-1657	166	7	on	on	ADP
cana-1657	166	8	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1657	166	9	)	)	PUNCT
cana-1657	166	10	figure.13	figure.13	PROPN
cana-1657	166	11	impact	impact	NOUN
cana-1657	166	12	of	of	ADP
cana-1657	166	13	sc	sc	PROPN
cana-1657	166	14	,	,	PUNCT
cana-1657	166	15	kr	kr	PROPN
cana-1657	166	16	on	on	ADP
cana-1657	166	17	𝜙(𝜂	𝜙(𝜂	PROPN
cana-1657	166	18	)	)	PUNCT
cana-1657	166	19	figure.14	figure.14	NOUN
cana-1657	166	20	impact	impact	NOUN
cana-1657	166	21	of	of	ADP
cana-1657	166	22	viscosity	viscosity	NOUN
cana-1657	166	23	parameter	parameter	NOUN
cana-1657	166	24	on	on	ADP
cana-1657	166	25	𝑓′(𝜂	𝑓′(𝜂	NOUN
cana-1657	166	26	)	)	PUNCT
cana-1657	166	27	figure.15	figure.15	NOUN
cana-1657	166	28	impact	impact	NOUN
cana-1657	166	29	of	of	ADP
cana-1657	166	30	variable	variable	ADJ
cana-1657	166	31	viscosity	viscosity	NOUN
cana-1657	166	32	parameter	parameter	NOUN
cana-1657	166	33	on	on	ADP
cana-1657	166	34	𝑔′(𝜂	𝑔′(𝜂	NOUN
cana-1657	166	35	)	)	PUNCT
cana-1657	166	36	.	.	PUNCT
cana-1657	167	1	figure	figure	VERB
cana-1657	167	2	14	14	NUM
cana-1657	167	3	&	&	CCONJ
cana-1657	167	4	15	15	NUM
cana-1657	167	5	illustrate	illustrate	VERB
cana-1657	167	6	the	the	DET
cana-1657	167	7	impact	impact	NOUN
cana-1657	167	8	of	of	ADP
cana-1657	167	9	viscosity	viscosity	NOUN
cana-1657	167	10	parameter	parameter	NOUN
cana-1657	167	11	𝜃𝑟	𝜃𝑟	INTJ
cana-1657	167	12	on	on	ADP
cana-1657	167	13	fluid	fluid	ADJ
cana-1657	167	14	velocities	velocity	NOUN
cana-1657	168	1	𝑓′(𝜂	𝑓′(𝜂	VERB
cana-1657	168	2	)	)	PUNCT
cana-1657	168	3	and	and	CCONJ
cana-1657	168	4	𝑔′(𝜂	𝑔′(𝜂	NOUN
cana-1657	168	5	)	)	PUNCT
cana-1657	168	6	respectively	respectively	ADV
cana-1657	168	7	,	,	PUNCT
cana-1657	168	8	increasing	increase	VERB
cana-1657	168	9	values	value	NOUN
cana-1657	168	10	of	of	ADP
cana-1657	168	11	𝜃𝑟	𝜃𝑟	ADV
cana-1657	168	12	enhances	enhance	VERB
cana-1657	168	13	the	the	DET
cana-1657	168	14	fluid	fluid	ADJ
cana-1657	168	15	motion	motion	NOUN
cana-1657	168	16	on	on	ADP
cana-1657	168	17	x	x	SYM
cana-1657	168	18	,	,	PUNCT
cana-1657	168	19	ydirectional	ydirectional	ADJ
cana-1657	168	20	velocities	velocity	NOUN
cana-1657	168	21	.	.	PUNCT
cana-1657	169	1	momentum	momentum	NOUN
cana-1657	169	2	boundary	boundary	ADJ
cana-1657	169	3	layer	layer	NOUN
cana-1657	169	4	thickness	thickness	NOUN
cana-1657	169	5	decreases	decrease	VERB
cana-1657	169	6	while	while	SCONJ
cana-1657	169	7	increasing	increase	VERB
cana-1657	169	8	viscosity	viscosity	NOUN
cana-1657	169	9	parameter	parameter	NOUN
cana-1657	169	10	increases	increase	NOUN
cana-1657	169	11	.	.	PUNCT
cana-1657	170	1	communications	communication	NOUN
cana-1657	170	2	on	on	ADP
cana-1657	170	3	applied	apply	VERB
cana-1657	170	4	nonlinear	nonlinear	ADJ
cana-1657	170	5	analysis	analysis	NOUN
cana-1657	170	6	issn	issn	NOUN
cana-1657	170	7	:	:	PUNCT
cana-1657	170	8	1074	1074	NUM
cana-1657	170	9	-	-	PUNCT
cana-1657	170	10	133x	133x	NUM
cana-1657	170	11	vol	vol	NOUN
cana-1657	170	12	32	32	NUM
cana-1657	170	13	no	no	NOUN
cana-1657	170	14	.	.	NOUN
cana-1657	170	15	1	1	NUM
cana-1657	170	16	(	(	PUNCT
cana-1657	170	17	2025	2025	NUM
cana-1657	170	18	)	)	PUNCT
cana-1657	170	19	369	369	NUM
cana-1657	170	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	170	21	table	table	NOUN
cana-1657	171	1	1	1	NUM
cana-1657	171	2	.	.	PUNCT
cana-1657	171	3	comparison	comparison	NOUN
cana-1657	171	4	of	of	ADP
cana-1657	171	5	skin	skin	NOUN
cana-1657	171	6	friction	friction	NOUN
cana-1657	171	7	coefficient	coefficient	NOUN
cana-1657	171	8	for	for	ADP
cana-1657	171	9	𝑊𝑒	𝑊𝑒	NOUN
cana-1657	171	10	=	=	SYM
cana-1657	171	11	𝐾1	𝐾1	PROPN
cana-1657	171	12	=	=	SYM
cana-1657	171	13	𝐾2	𝐾2	NOUN
cana-1657	171	14	=	=	SYM
cana-1657	171	15	𝑀	𝑀	PROPN
cana-1657	171	16	=	=	SYM
cana-1657	171	17	0	0	NUM
cana-1657	171	18	,	,	PUNCT
cana-1657	171	19	𝜃𝑟	𝜃𝑟	ADP
cana-1657	171	20	=	=	NOUN
cana-1657	171	21	0	0	NUM
cana-1657	171	22	for	for	ADP
cana-1657	171	23	different	different	ADJ
cana-1657	171	24	values	value	NOUN
cana-1657	171	25	of	of	ADP
cana-1657	171	26	velocity	velocity	NOUN
cana-1657	171	27	ratio	ratio	NOUN
cana-1657	171	28	parameter	parameter	NOUN
cana-1657	171	29	.	.	PUNCT
cana-1657	172	1	𝛿	𝛿	DET
cana-1657	172	2	wang	wang	PROPN
cana-1657	172	3	[	[	X
cana-1657	172	4	24	24	NUM
cana-1657	172	5	]	]	X
cana-1657	172	6	present	present	ADJ
cana-1657	172	7	results	result	NOUN
cana-1657	172	8	−𝑓′′(0	−𝑓′′(0	PROPN
cana-1657	172	9	)	)	PUNCT
cana-1657	172	10	−𝑔′′(0	−𝑔′′(0	PROPN
cana-1657	172	11	)	)	PUNCT
cana-1657	172	12	−𝑓′′(0	−𝑓′′(0	PROPN
cana-1657	172	13	)	)	PUNCT
cana-1657	172	14	−𝑔′′(0	−𝑔′′(0	PROPN
cana-1657	172	15	)	)	PUNCT
cana-1657	172	16	0.0	0.0	NUM
cana-1657	172	17	1.000000	1.000000	NUM
cana-1657	172	18	0.000000	0.000000	NUM
cana-1657	172	19	1.000000	1.000000	NUM
cana-1657	172	20	0.000000	0.000000	NUM
cana-1657	172	21	0.2	0.2	NUM
cana-1657	172	22	1.039511	1.039511	NUM
cana-1657	172	23	1.148745	1.148745	NUM
cana-1657	172	24	1.039143	1.039143	NUM
cana-1657	172	25	1.147738	1.147738	NUM
cana-1657	172	26	0.4	0.4	NUM
cana-1657	172	27	1.075765	1.075765	NUM
cana-1657	172	28	1.349214	1.349214	NUM
cana-1657	172	29	1.075016	1.075016	NUM
cana-1657	172	30	1.340786	1.340786	NUM
cana-1657	172	31	0.6	0.6	NUM
cana-1657	172	32	1.109951	1.109951	NUM
cana-1657	172	33	1.560532	1.560532	NUM
cana-1657	172	34	1.109932	1.109932	NUM
cana-1657	172	35	1.596173	1.596173	NUM
cana-1657	172	36	0.8	0.8	NUM
cana-1657	172	37	1.142491	1.142491	NUM
cana-1657	172	38	0.866685	0.866685	NUM
cana-1657	172	39	1.142482	1.142482	NUM
cana-1657	172	40	0.860629	0.860629	NUM
cana-1657	172	41	1.0	1.0	NUM
cana-1657	172	42	1.173722	1.173722	NUM
cana-1657	172	43	1.173722	1.173722	NUM
cana-1657	172	44	1.173742	1.173742	NUM
cana-1657	172	45	1.083780	1.083780	NUM
cana-1657	172	46	table	table	NOUN
cana-1657	172	47	2	2	NUM
cana-1657	172	48	.	.	PUNCT
cana-1657	172	49	computing	compute	VERB
cana-1657	172	50	values	value	NOUN
cana-1657	172	51	of	of	ADP
cana-1657	172	52	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	172	53	−0.5𝑆ℎ𝑥	−0.5𝑆ℎ𝑥	NOUN
cana-1657	172	54	in	in	ADP
cana-1657	172	55	relation	relation	NOUN
cana-1657	172	56	to	to	ADP
cana-1657	172	57	various	various	ADJ
cana-1657	172	58	estimates	estimate	NOUN
cana-1657	172	59	of	of	ADP
cana-1657	172	60	sc	sc	PROPN
cana-1657	172	61	,	,	PUNCT
cana-1657	172	62	kr	kr	PROPN
cana-1657	172	63	,	,	PUNCT
cana-1657	172	64	휀1	휀1	NOUN
cana-1657	172	65	,	,	PUNCT
cana-1657	172	66	휀2	휀2	VERB
cana-1657	172	67	,	,	PUNCT
cana-1657	172	68	nt	not	PART
cana-1657	172	69	.	.	PUNCT
cana-1657	173	1	sc	sc	PROPN
cana-1657	173	2	kr	kr	PROPN
cana-1657	173	3	휀2	휀2	AUX
cana-1657	173	4	휀1	휀1	VERB
cana-1657	173	5	nt	not	PART
cana-1657	173	6	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	173	7	−0.5𝑆ℎ𝑥	−0.5𝑆ℎ𝑥	NOUN
cana-1657	173	8	0.4	0.4	NUM
cana-1657	174	1	0.2	0.2	NUM
cana-1657	174	2	0.3	0.3	NUM
cana-1657	174	3	0.2	0.2	NUM
cana-1657	174	4	0.2	0.2	NUM
cana-1657	174	5	0.931725	0.931725	NUM
cana-1657	174	6	0.5	0.5	NUM
cana-1657	174	7	0.803549	0.803549	NUM
cana-1657	174	8	0.6	0.6	NUM
cana-1657	174	9	0.571101	0.571101	NUM
cana-1657	174	10	0.5	0.5	NUM
cana-1657	174	11	0.543284	0.543284	NUM
cana-1657	174	12	0.8	0.8	NUM
cana-1657	174	13	0.618974	0.618974	NUM
cana-1657	174	14	0.4	0.4	NUM
cana-1657	174	15	0.609807	0.609807	NUM
cana-1657	174	16	0.5	0.5	NUM
cana-1657	174	17	0.649579	0.649579	NUM
cana-1657	174	18	table	table	NOUN
cana-1657	174	19	3	3	NUM
cana-1657	174	20	.	.	PUNCT
cana-1657	174	21	computing	compute	VERB
cana-1657	174	22	values	value	NOUN
cana-1657	174	23	of	of	ADP
cana-1657	174	24	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-1657	174	25	−0.5𝑁𝑢𝑥	−0.5𝑁𝑢𝑥	ADV
cana-1657	174	26	in	in	ADP
cana-1657	174	27	relation	relation	NOUN
cana-1657	174	28	to	to	ADP
cana-1657	174	29	various	various	ADJ
cana-1657	174	30	estimates	estimate	NOUN
cana-1657	174	31	of	of	ADP
cana-1657	174	32	nt	nt	ADP
cana-1657	174	33	,	,	PUNCT
cana-1657	174	34	nb	nb	PROPN
cana-1657	174	35	,	,	PUNCT
cana-1657	174	36	rd	rd	PROPN
cana-1657	174	37	,	,	PUNCT
cana-1657	174	38	pr	pr	NOUN
cana-1657	174	39	,	,	PUNCT
cana-1657	174	40	bi	bi	NOUN
cana-1657	174	41	,	,	PUNCT
cana-1657	174	42	휀1	휀1	NOUN
cana-1657	174	43	,	,	PUNCT
cana-1657	174	44	휀2	휀2	VERB
cana-1657	174	45	,	,	PUNCT
cana-1657	174	46	m	m	PROPN
cana-1657	174	47	,	,	PUNCT
cana-1657	174	48	ecx	ecx	PROPN
cana-1657	174	49	,	,	PUNCT
cana-1657	174	50	ecy	ecy	VERB
cana-1657	174	51	pr	pr	PROPN
cana-1657	174	52	bi	bi	PROPN
cana-1657	174	53	rd	rd	PROPN
cana-1657	174	54	nt	not	PART
cana-1657	174	55	nb	nb	PROPN
cana-1657	174	56	m	m	PROPN
cana-1657	174	57	휀1	휀1	PROPN
cana-1657	174	58	휀2	휀2	PROPN
cana-1657	174	59	ecx	ecx	PROPN
cana-1657	174	60	ecy	ecy	PROPN
cana-1657	175	1	𝑅𝑒𝑥	𝑅𝑒𝑥	INTJ
cana-1657	175	2	−0.5𝑁𝑢𝑥	−0.5𝑁𝑢𝑥	NOUN
cana-1657	175	3	3	3	NUM
cana-1657	175	4	0.2	0.2	NUM
cana-1657	175	5	0.3	0.3	NUM
cana-1657	175	6	0.2	0.2	NUM
cana-1657	175	7	0.4	0.4	NUM
cana-1657	175	8	2	2	NUM
cana-1657	175	9	0.3	0.3	NUM
cana-1657	175	10	0.3	0.3	NUM
cana-1657	175	11	1	1	NUM
cana-1657	175	12	1	1	NUM
cana-1657	175	13	0.427824	0.427824	NUM
cana-1657	175	14	4	4	NUM
cana-1657	175	15	0.430930	0.430930	NUM
cana-1657	175	16	4.5	4.5	NUM
cana-1657	175	17	0.476731	0.476731	NUM
cana-1657	175	18	0.3	0.3	NUM
cana-1657	175	19	0.489788	0.489788	NUM
cana-1657	175	20	0.4	0.4	NUM
cana-1657	175	21	0.661929	0.661929	NUM
cana-1657	175	22	0.5	0.5	NUM
cana-1657	175	23	0.893992	0.893992	NUM
cana-1657	175	24	0.3	0.3	NUM
cana-1657	175	25	0.417120	0.417120	NUM
cana-1657	175	26	0.4	0.4	NUM
cana-1657	175	27	0.490633	0.490633	NUM
cana-1657	175	28	0.5	0.5	NUM
cana-1657	175	29	0.725826	0.725826	NUM
cana-1657	175	30	0.3	0.3	NUM
cana-1657	175	31	0.573341	0.573341	NUM
cana-1657	175	32	0.4	0.4	NUM
cana-1657	175	33	0.568533	0.568533	NUM
cana-1657	175	34	0.4	0.4	NUM
cana-1657	175	35	0.571806	0.571806	NUM
cana-1657	175	36	0.6	0.6	NUM
cana-1657	175	37	0.557728	0.557728	NUM
cana-1657	175	38	3	3	NUM
cana-1657	175	39	0.473318	0.473318	NUM
cana-1657	175	40	4	4	NUM
cana-1657	175	41	0.491645	0.491645	NUM
cana-1657	175	42	5	5	NUM
cana-1657	175	43	1.587171	1.587171	NUM
cana-1657	175	44	0.4	0.4	NUM
cana-1657	175	45	0.544124	0.544124	NUM
cana-1657	175	46	communications	communication	NOUN
cana-1657	175	47	on	on	ADP
cana-1657	175	48	applied	apply	VERB
cana-1657	175	49	nonlinear	nonlinear	ADJ
cana-1657	175	50	analysis	analysis	NOUN
cana-1657	175	51	issn	issn	NOUN
cana-1657	175	52	:	:	PUNCT
cana-1657	175	53	1074	1074	NUM
cana-1657	175	54	-	-	PUNCT
cana-1657	175	55	133x	133x	NUM
cana-1657	175	56	vol	vol	NOUN
cana-1657	175	57	32	32	NUM
cana-1657	175	58	no	no	NOUN
cana-1657	175	59	.	.	NOUN
cana-1657	175	60	1	1	NUM
cana-1657	175	61	(	(	PUNCT
cana-1657	175	62	2025	2025	NUM
cana-1657	175	63	)	)	PUNCT
cana-1657	175	64	370	370	NUM
cana-1657	175	65	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	175	66	0.5	0.5	NUM
cana-1657	175	67	0.584008	0.584008	NUM
cana-1657	175	68	0.6	0.6	NUM
cana-1657	175	69	0.636663	0.636663	NUM
cana-1657	175	70	0.4	0.4	NUM
cana-1657	175	71	0.591191	0.591191	NUM
cana-1657	175	72	0.5	0.5	NUM
cana-1657	176	1	0.568432	0.568432	NUM
cana-1657	176	2	0.6	0.6	NUM
cana-1657	176	3	0.525145	0.525145	NUM
cana-1657	176	4	5	5	NUM
cana-1657	176	5	.	.	PUNCT
cana-1657	177	1	conclusion	conclusion	NOUN
cana-1657	177	2	this	this	DET
cana-1657	177	3	paper	paper	NOUN
cana-1657	177	4	examines	examine	VERB
cana-1657	177	5	the	the	DET
cana-1657	177	6	numerical	numerical	ADJ
cana-1657	177	7	analysis	analysis	NOUN
cana-1657	177	8	of	of	ADP
cana-1657	177	9	a	a	DET
cana-1657	177	10	3d	3d	PROPN
cana-1657	177	11	mhd	mhd	PROPN
cana-1657	177	12	williamson	williamson	PROPN
cana-1657	177	13	nanofluid	nanofluid	PROPN
cana-1657	177	14	flowing	flow	VERB
cana-1657	177	15	over	over	ADP
cana-1657	177	16	a	a	DET
cana-1657	177	17	stretched	stretch	VERB
cana-1657	177	18	sheet	sheet	NOUN
cana-1657	177	19	with	with	ADP
cana-1657	177	20	varying	vary	VERB
cana-1657	177	21	thermal	thermal	ADJ
cana-1657	177	22	conductivity	conductivity	NOUN
cana-1657	177	23	and	and	CCONJ
cana-1657	177	24	diffusivity	diffusivity	NOUN
cana-1657	177	25	under	under	ADP
cana-1657	177	26	thermal	thermal	ADJ
cana-1657	177	27	radiation	radiation	NOUN
cana-1657	177	28	,	,	PUNCT
cana-1657	177	29	velocity	velocity	NOUN
cana-1657	177	30	slip	slip	NOUN
cana-1657	177	31	,	,	PUNCT
cana-1657	177	32	and	and	CCONJ
cana-1657	177	33	convective	convective	ADJ
cana-1657	177	34	boundary	boundary	ADJ
cana-1657	177	35	conditions	condition	NOUN
cana-1657	177	36	.	.	PUNCT
cana-1657	178	1	we	we	PRON
cana-1657	178	2	suggested	suggest	VERB
cana-1657	178	3	a	a	DET
cana-1657	178	4	modified	modified	ADJ
cana-1657	178	5	rk-4th	rk-4th	NOUN
cana-1657	178	6	order	order	NOUN
cana-1657	178	7	numerical	numerical	ADJ
cana-1657	178	8	approach	approach	NOUN
cana-1657	178	9	,	,	PUNCT
cana-1657	178	10	bvp4c	bvp4c	PROPN
cana-1657	178	11	shooting	shooting	NOUN
cana-1657	178	12	technique	technique	NOUN
cana-1657	178	13	,	,	PUNCT
cana-1657	178	14	to	to	PART
cana-1657	178	15	solve	solve	VERB
cana-1657	178	16	the	the	DET
cana-1657	178	17	problem	problem	NOUN
cana-1657	178	18	using	use	VERB
cana-1657	178	19	the	the	DET
cana-1657	178	20	created	create	VERB
cana-1657	178	21	mathematical	mathematical	ADJ
cana-1657	178	22	model	model	NOUN
cana-1657	178	23	.	.	PUNCT
cana-1657	179	1	the	the	DET
cana-1657	179	2	most	most	ADV
cana-1657	179	3	significant	significant	ADJ
cana-1657	179	4	points	point	NOUN
cana-1657	179	5	are	be	AUX
cana-1657	179	6	noted	note	VERB
cana-1657	179	7	below	below	ADV
cana-1657	179	8	.	.	PUNCT
cana-1657	180	1	i.the	i.the	DET
cana-1657	180	2	x	x	NOUN
cana-1657	180	3	and	and	CCONJ
cana-1657	180	4	y	y	PROPN
cana-1657	180	5	velocities	velocity	NOUN
cana-1657	180	6	drop	drop	VERB
cana-1657	180	7	down	down	ADP
cana-1657	180	8	progressively	progressively	ADV
cana-1657	180	9	due	due	ADJ
cana-1657	180	10	to	to	ADP
cana-1657	180	11	magnetic	magnetic	ADJ
cana-1657	180	12	field	field	NOUN
cana-1657	180	13	effects	effect	NOUN
cana-1657	180	14	and	and	CCONJ
cana-1657	180	15	the	the	DET
cana-1657	180	16	williamson	williamson	PROPN
cana-1657	180	17	fluid	fluid	NOUN
cana-1657	180	18	parameter	parameter	NOUN
cana-1657	180	19	.	.	PUNCT
cana-1657	181	1	ii.the	ii.the	DET
cana-1657	181	2	behavior	behavior	NOUN
cana-1657	181	3	of	of	ADP
cana-1657	181	4	the	the	DET
cana-1657	181	5	temperature	temperature	NOUN
cana-1657	181	6	field	field	NOUN
cana-1657	181	7	dims	dim	VERB
cana-1657	181	8	as	as	ADP
cana-1657	181	9	the	the	DET
cana-1657	181	10	values	value	NOUN
cana-1657	181	11	of	of	ADP
cana-1657	181	12	m	m	PROPN
cana-1657	181	13	,	,	PUNCT
cana-1657	181	14	rd	rd	PROPN
cana-1657	181	15	,	,	PUNCT
cana-1657	181	16	ec	ec	PROPN
cana-1657	181	17	increase	increase	NOUN
cana-1657	181	18	,	,	PUNCT
cana-1657	181	19	however	however	ADV
cana-1657	181	20	the	the	DET
cana-1657	181	21	reverse	reverse	ADJ
cana-1657	181	22	behavior	behavior	NOUN
cana-1657	181	23	is	be	AUX
cana-1657	181	24	found	find	VERB
cana-1657	181	25	with	with	ADP
cana-1657	181	26	higher	high	ADJ
cana-1657	181	27	values	value	NOUN
cana-1657	181	28	of	of	ADP
cana-1657	181	29	pr	pr	NOUN
cana-1657	181	30	,	,	PUNCT
cana-1657	181	31	bi	bi	NOUN
cana-1657	181	32	,	,	PUNCT
cana-1657	181	33	variable	variable	ADJ
cana-1657	181	34	thermal	thermal	ADJ
cana-1657	181	35	conductivity	conductivity	NOUN
cana-1657	181	36	,	,	PUNCT
cana-1657	181	37	and	and	CCONJ
cana-1657	181	38	variable	variable	ADJ
cana-1657	181	39	species	specie	NOUN
cana-1657	181	40	diffusivity	diffusivity	NOUN
cana-1657	181	41	.	.	PUNCT
cana-1657	182	1	iii.higher	iii.higher	NOUN
cana-1657	182	2	viscosity	viscosity	NOUN
cana-1657	182	3	suggests	suggest	VERB
cana-1657	182	4	higher	high	ADJ
cana-1657	182	5	internal	internal	ADJ
cana-1657	182	6	friction	friction	NOUN
cana-1657	182	7	throughout	throughout	ADP
cana-1657	182	8	the	the	DET
cana-1657	182	9	fluid	fluid	NOUN
cana-1657	182	10	,	,	PUNCT
cana-1657	182	11	slowing	slow	VERB
cana-1657	182	12	the	the	DET
cana-1657	182	13	flow	flow	NOUN
cana-1657	182	14	of	of	ADP
cana-1657	182	15	fluid	fluid	ADJ
cana-1657	182	16	particles	particle	NOUN
cana-1657	182	17	and	and	CCONJ
cana-1657	182	18	reducing	reduce	VERB
cana-1657	182	19	velocity	velocity	NOUN
cana-1657	182	20	.	.	PUNCT
cana-1657	183	1	iv.concentration	iv.concentration	NOUN
cana-1657	183	2	distribution	distribution	NOUN
cana-1657	183	3	is	be	AUX
cana-1657	183	4	lowered	lower	VERB
cana-1657	183	5	by	by	ADP
cana-1657	183	6	the	the	DET
cana-1657	183	7	first	first	ADJ
cana-1657	183	8	-	-	PUNCT
cana-1657	183	9	order	order	NOUN
cana-1657	183	10	chemical	chemical	NOUN
cana-1657	183	11	reaction	reaction	NOUN
cana-1657	183	12	's	's	PART
cana-1657	183	13	increasing	increase	VERB
cana-1657	183	14	rate	rate	NOUN
cana-1657	183	15	and	and	CCONJ
cana-1657	183	16	schmidt	schmidt	PROPN
cana-1657	183	17	number	number	PROPN
cana-1657	183	18	sc	sc	PROPN
cana-1657	183	19	.	.	PUNCT
cana-1657	184	1	references	reference	NOUN
cana-1657	184	2	[	[	X
cana-1657	184	3	1	1	NUM
cana-1657	184	4	]	]	X
cana-1657	184	5	maria	maria	PROPN
cana-1657	184	6	,	,	PUNCT
cana-1657	184	7	imtiaz	imtiaz	PROPN
cana-1657	184	8	.	.	PUNCT
cana-1657	185	1	(	(	PUNCT
cana-1657	185	2	2023	2023	NUM
cana-1657	185	3	)	)	PUNCT
cana-1657	185	4	.	.	PUNCT
cana-1657	186	1	impact	impact	NOUN
cana-1657	186	2	of	of	ADP
cana-1657	186	3	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1657	186	4	in	in	ADP
cana-1657	186	5	bidirectional	bidirectional	ADJ
cana-1657	186	6	slip	slip	NOUN
cana-1657	186	7	flow	flow	NOUN
cana-1657	186	8	of	of	ADP
cana-1657	186	9	maxwell	maxwell	PROPN
cana-1657	186	10	fluid	fluid	NOUN
cana-1657	186	11	subject	subject	NOUN
cana-1657	186	12	to	to	ADP
cana-1657	186	13	stretching	stretching	NOUN
cana-1657	186	14	,	,	PUNCT
cana-1657	186	15	radiation	radiation	NOUN
cana-1657	186	16	,	,	PUNCT
cana-1657	186	17	and	and	CCONJ
cana-1657	186	18	variable	variable	ADJ
cana-1657	186	19	properties	property	NOUN
cana-1657	186	20	.	.	PUNCT
cana-1657	187	1	numerical	numerical	ADJ
cana-1657	187	2	heat	heat	NOUN
cana-1657	187	3	transfer	transfer	NOUN
cana-1657	187	4	part	part	NOUN
cana-1657	187	5	a	a	DET
cana-1657	187	6	-	-	PUNCT
cana-1657	187	7	applications	application	NOUN
cana-1657	187	8	,	,	PUNCT
cana-1657	187	9	doi	doi	NOUN
cana-1657	187	10	:	:	PUNCT
cana-1657	187	11	10.1080/10407782.2023.2176383	10.1080/10407782.2023.2176383	NUM
cana-1657	187	12	[	[	X
cana-1657	187	13	2	2	NUM
cana-1657	187	14	]	]	SYM
cana-1657	187	15	upreti	upreti	NOUN
cana-1657	187	16	,	,	PUNCT
cana-1657	187	17	h.	h.	PROPN
cana-1657	187	18	,	,	PUNCT
cana-1657	187	19	bisht	bisht	PROPN
cana-1657	187	20	,	,	PUNCT
cana-1657	187	21	a.	a.	PROPN
cana-1657	187	22	,	,	PUNCT
cana-1657	187	23	&	&	CCONJ
cana-1657	187	24	joshi	joshi	PROPN
cana-1657	187	25	,	,	PUNCT
cana-1657	187	26	n.	n.	PROPN
cana-1657	187	27	(	(	PUNCT
cana-1657	187	28	2024	2024	NUM
cana-1657	187	29	)	)	PUNCT
cana-1657	187	30	.	.	PUNCT
cana-1657	188	1	mhd	mhd	PROPN
cana-1657	188	2	darcy	darcy	PROPN
cana-1657	188	3	–	–	PUNCT
cana-1657	188	4	forchheimer	forchheimer	ADJ
cana-1657	188	5	flow	flow	NOUN
cana-1657	188	6	and	and	CCONJ
cana-1657	188	7	double	double	ADJ
cana-1657	188	8	-	-	PUNCT
cana-1657	188	9	diffusive	diffusive	ADJ
cana-1657	188	10	modeling	modeling	NOUN
cana-1657	188	11	of	of	ADP
cana-1657	188	12	maxwell	maxwell	PROPN
cana-1657	188	13	fluid	fluid	NOUN
cana-1657	188	14	over	over	ADP
cana-1657	188	15	rotating	rotate	VERB
cana-1657	188	16	stretchable	stretchable	ADJ
cana-1657	188	17	surface	surface	NOUN
cana-1657	188	18	:	:	PUNCT
cana-1657	188	19	a	a	DET
cana-1657	188	20	computational	computational	ADJ
cana-1657	188	21	study	study	NOUN
cana-1657	188	22	.	.	PUNCT
cana-1657	189	1	modern	modern	ADJ
cana-1657	189	2	physics	physics	PROPN
cana-1657	189	3	letters	letter	NOUN
cana-1657	189	4	b.	b.	PROPN
cana-1657	190	1	https://doi.org/10.1142/s0217984924502270	https://doi.org/10.1142/s0217984924502270	NUM
cana-1657	191	1	[	[	X
cana-1657	191	2	3	3	NUM
cana-1657	191	3	]	]	PUNCT
cana-1657	191	4	sinha	sinha	NOUN
cana-1657	191	5	,	,	PUNCT
cana-1657	191	6	a.	a.	NOUN
cana-1657	191	7	,	,	PUNCT
cana-1657	191	8	misra	misra	PROPN
cana-1657	191	9	,	,	PUNCT
cana-1657	191	10	j.	j.	PROPN
cana-1657	191	11	,	,	PUNCT
cana-1657	191	12	&	&	CCONJ
cana-1657	191	13	shit	shit	PROPN
cana-1657	191	14	,	,	PUNCT
cana-1657	191	15	g.	g.	PROPN
cana-1657	191	16	(	(	PUNCT
cana-1657	191	17	2016	2016	NUM
cana-1657	191	18	)	)	PUNCT
cana-1657	191	19	.	.	PUNCT
cana-1657	192	1	effect	effect	NOUN
cana-1657	192	2	of	of	ADP
cana-1657	192	3	heat	heat	NOUN
cana-1657	192	4	transfer	transfer	NOUN
cana-1657	192	5	on	on	ADP
cana-1657	192	6	unsteady	unsteady	ADJ
cana-1657	192	7	mhd	mhd	NOUN
cana-1657	192	8	flow	flow	NOUN
cana-1657	192	9	of	of	ADP
cana-1657	192	10	blood	blood	NOUN
cana-1657	192	11	in	in	ADP
cana-1657	192	12	a	a	DET
cana-1657	192	13	permeable	permeable	ADJ
cana-1657	192	14	vessel	vessel	NOUN
cana-1657	192	15	in	in	ADP
cana-1657	192	16	the	the	DET
cana-1657	192	17	presence	presence	NOUN
cana-1657	192	18	of	of	ADP
cana-1657	192	19	non	non	ADJ
cana-1657	192	20	-	-	ADJ
cana-1657	192	21	uniform	uniform	ADJ
cana-1657	192	22	heat	heat	NOUN
cana-1657	192	23	source	source	NOUN
cana-1657	192	24	.	.	PUNCT
cana-1657	193	1	alexandria	alexandria	PROPN
cana-1657	193	2	engineering	engineering	PROPN
cana-1657	193	3	journal	journal	PROPN
cana-1657	193	4	,	,	PUNCT
cana-1657	193	5	55(3	55(3	NUM
cana-1657	193	6	)	)	PUNCT
cana-1657	193	7	,	,	PUNCT
cana-1657	193	8	2023–2033	2023–2033	NUM
cana-1657	193	9	.	.	PUNCT
cana-1657	194	1	https://doi.org/10.1016/j.aej.2016.07.010	https://doi.org/10.1016/j.aej.2016.07.010	NOUN
cana-1657	195	1	[	[	X
cana-1657	195	2	4	4	NUM
cana-1657	195	3	]	]	X
cana-1657	195	4	murtaza	murtaza	PROPN
cana-1657	195	5	,	,	PUNCT
cana-1657	195	6	m.	m.	NOUN
cana-1657	195	7	g.	g.	PROPN
cana-1657	195	8	,	,	PUNCT
cana-1657	195	9	jahangircu	jahangircu	NOUN
cana-1657	195	10	,	,	PUNCT
cana-1657	195	11	ferdows	ferdow	NOUN
cana-1657	195	12	,	,	PUNCT
cana-1657	195	13	m.	m.	NOUN
cana-1657	195	14	,	,	PUNCT
cana-1657	195	15	tzirtzilakis	tzirtzilaki	NOUN
cana-1657	195	16	,	,	PUNCT
cana-1657	195	17	ε	ε	PROPN
cana-1657	195	18	.	.	PUNCT
cana-1657	195	19	ε	ε	PROPN
cana-1657	195	20	.	.	PROPN
cana-1657	195	21	,	,	PUNCT
cana-1657	195	22	&	&	CCONJ
cana-1657	195	23	shamshuddin	shamshuddin	PROPN
cana-1657	195	24	,	,	PUNCT
cana-1657	195	25	m.	m.	NOUN
cana-1657	195	26	(	(	PUNCT
cana-1657	195	27	2023	2023	NUM
cana-1657	195	28	)	)	PUNCT
cana-1657	195	29	.	.	PUNCT
cana-1657	196	1	(	(	PUNCT
cana-1657	196	2	0040	0040	NUM
cana-1657	196	3	)	)	PUNCT
cana-1657	196	4	effects	effect	NOUN
cana-1657	196	5	of	of	ADP
cana-1657	196	6	variable	variable	ADJ
cana-1657	196	7	fluid	fluid	NOUN
cana-1657	196	8	properties	property	NOUN
cana-1657	196	9	and	and	CCONJ
cana-1657	196	10	mixed	mixed	ADJ
cana-1657	196	11	convection	convection	NOUN
cana-1657	196	12	on	on	ADP
cana-1657	196	13	biomagnetic	biomagnetic	ADJ
cana-1657	196	14	fluid	fluid	NOUN
cana-1657	196	15	flow	flow	NOUN
cana-1657	196	16	and	and	CCONJ
cana-1657	196	17	heat	heat	NOUN
cana-1657	196	18	transfer	transfer	NOUN
cana-1657	196	19	over	over	ADP
cana-1657	196	20	a	a	DET
cana-1657	196	21	stretching	stretch	VERB
cana-1657	196	22	sheet	sheet	NOUN
cana-1657	196	23	in	in	ADP
cana-1657	196	24	the	the	DET
cana-1657	196	25	presence	presence	NOUN
cana-1657	196	26	of	of	ADP
cana-1657	196	27	magnetic	magnetic	ADJ
cana-1657	196	28	dipole	dipole	NOUN
cana-1657	196	29	.	.	PUNCT
cana-1657	197	1	authorea	authorea	PROPN
cana-1657	197	2	(	(	PUNCT
cana-1657	197	3	authorea	authorea	INTJ
cana-1657	197	4	)	)	PUNCT
cana-1657	197	5	.	.	PUNCT
cana-1657	198	1	https://doi.org/10.22541/essoar.170264373.31639349/v1	https://doi.org/10.22541/essoar.170264373.31639349/v1	PUNCT
cana-1657	199	1	[	[	X
cana-1657	199	2	5	5	NUM
cana-1657	199	3	]	]	PUNCT
cana-1657	199	4	muzemder	muzemder	NOUN
cana-1657	199	5	,	,	PUNCT
cana-1657	199	6	a.	a.	PROPN
cana-1657	199	7	s.	s.	PROPN
cana-1657	199	8	h.	h.	PROPN
cana-1657	199	9	,	,	PUNCT
cana-1657	199	10	&	&	CCONJ
cana-1657	199	11	singh	singh	PROPN
cana-1657	199	12	,	,	PUNCT
cana-1657	199	13	k.	k.	PROPN
cana-1657	199	14	(	(	PUNCT
cana-1657	199	15	2024	2024	NUM
cana-1657	199	16	)	)	PUNCT
cana-1657	199	17	.	.	PUNCT
cana-1657	200	1	influence	influence	NOUN
cana-1657	200	2	of	of	ADP
cana-1657	200	3	sedimentary	sedimentary	ADJ
cana-1657	200	4	structure	structure	NOUN
cana-1657	200	5	and	and	CCONJ
cana-1657	200	6	pore	pore	ADJ
cana-1657	200	7	-	-	PUNCT
cana-1657	200	8	size	size	NOUN
cana-1657	200	9	distribution	distribution	NOUN
cana-1657	200	10	on	on	ADP
cana-1657	200	11	upscaling	upscale	VERB
cana-1657	200	12	permeability	permeability	NOUN
cana-1657	200	13	and	and	CCONJ
cana-1657	200	14	flow	flow	NOUN
cana-1657	200	15	enhancement	enhancement	NOUN
cana-1657	200	16	due	due	ADJ
cana-1657	200	17	to	to	ADP
cana-1657	200	18	liquid	liquid	ADJ
cana-1657	200	19	boundary	boundary	ADJ
cana-1657	200	20	slip	slip	NOUN
cana-1657	200	21	:	:	PUNCT
cana-1657	200	22	a	a	DET
cana-1657	200	23	pore	pore	ADJ
cana-1657	200	24	-	-	PUNCT
cana-1657	200	25	scale	scale	NOUN
cana-1657	200	26	computational	computational	ADJ
cana-1657	200	27	study	study	NOUN
cana-1657	200	28	.	.	PUNCT
cana-1657	201	1	advances	advance	NOUN
cana-1657	201	2	in	in	ADP
cana-1657	201	3	water	water	NOUN
cana-1657	201	4	resources	resource	NOUN
cana-1657	201	5	,	,	PUNCT
cana-1657	201	6	190	190	NUM
cana-1657	201	7	,	,	PUNCT
cana-1657	201	8	104752	104752	NUM
cana-1657	201	9	.	.	PUNCT
cana-1657	202	1	https://doi.org/10.1016/j.advwatres.2024.104752	https://doi.org/10.1016/j.advwatres.2024.104752	PROPN
cana-1657	202	2	[	[	X
cana-1657	202	3	6	6	NUM
cana-1657	202	4	]	]	PUNCT
cana-1657	202	5	fara	fara	PROPN
cana-1657	202	6	,	,	PUNCT
cana-1657	202	7	j.	j.	PROPN
cana-1657	202	8	,	,	PUNCT
cana-1657	202	9	hron	hron	PROPN
cana-1657	202	10	,	,	PUNCT
cana-1657	202	11	j.	j.	PROPN
cana-1657	202	12	,	,	PUNCT
cana-1657	202	13	málek	málek	PROPN
cana-1657	202	14	,	,	PUNCT
cana-1657	202	15	j.	j.	PROPN
cana-1657	202	16	,	,	PUNCT
cana-1657	202	17	rajagopal	rajagopal	PROPN
cana-1657	202	18	,	,	PUNCT
cana-1657	202	19	k.	k.	PROPN
cana-1657	202	20	,	,	PUNCT
cana-1657	202	21	&	&	CCONJ
cana-1657	202	22	tůma	tůma	PROPN
cana-1657	202	23	,	,	PUNCT
cana-1657	202	24	k.	k.	PROPN
cana-1657	202	25	(	(	PUNCT
cana-1657	202	26	2024	2024	NUM
cana-1657	202	27	)	)	PUNCT
cana-1657	202	28	.	.	PUNCT
cana-1657	203	1	fluid	fluid	ADJ
cana-1657	203	2	–	–	PUNCT
cana-1657	203	3	structure	structure	NOUN
cana-1657	203	4	numerical	numerical	PROPN
cana-1657	203	5	solver	solver	PROPN
cana-1657	203	6	for	for	ADP
cana-1657	203	7	axi	axi	NOUN
cana-1657	203	8	-	-	PUNCT
cana-1657	203	9	symmetric	symmetric	ADJ
cana-1657	203	10	flows	flow	NOUN
cana-1657	203	11	with	with	ADP
cana-1657	203	12	navier	navier	NOUN
cana-1657	203	13	’s	’s	PART
cana-1657	203	14	slip	slip	NOUN
cana-1657	203	15	interface	interface	NOUN
cana-1657	203	16	condition	condition	NOUN
cana-1657	203	17	between	between	ADP
cana-1657	203	18	the	the	DET
cana-1657	203	19	viscoelastic	viscoelastic	NOUN
cana-1657	203	20	solid	solid	NOUN
cana-1657	203	21	and	and	CCONJ
cana-1657	203	22	the	the	DET
cana-1657	203	23	navier	navier	NOUN
cana-1657	203	24	–	–	PUNCT
cana-1657	203	25	stokes	stoke	NOUN
cana-1657	203	26	fluid	fluid	NOUN
cana-1657	203	27	:	:	PUNCT
cana-1657	203	28	effects	effect	NOUN
cana-1657	203	29	of	of	ADP
cana-1657	203	30	deformable	deformable	ADJ
cana-1657	203	31	solids	solid	NOUN
cana-1657	203	32	on	on	ADP
cana-1657	203	33	the	the	DET
cana-1657	203	34	flow	flow	NOUN
cana-1657	203	35	characteristics	characteristic	NOUN
cana-1657	203	36	.	.	PUNCT
cana-1657	204	1	international	international	ADJ
cana-1657	204	2	journal	journal	NOUN
cana-1657	204	3	of	of	ADP
cana-1657	204	4	engineering	engineering	NOUN
cana-1657	204	5	science	science	NOUN
cana-1657	204	6	,	,	PUNCT
cana-1657	204	7	201	201	NUM
cana-1657	204	8	,	,	PUNCT
cana-1657	204	9	104088	104088	NUM
cana-1657	204	10	.	.	PUNCT
cana-1657	205	1	https://doi.org/10.1016/j.ijengsci.2024.104088	https://doi.org/10.1016/j.ijengsci.2024.104088	PROPN
cana-1657	206	1	[	[	X
cana-1657	206	2	7	7	X
cana-1657	206	3	]	]	X
cana-1657	206	4	sudarmozhi	sudarmozhi	PROPN
cana-1657	206	5	,	,	PUNCT
cana-1657	206	6	k.	k.	PROPN
cana-1657	206	7	,	,	PUNCT
cana-1657	206	8	iranian	iranian	PROPN
cana-1657	206	9	,	,	PUNCT
cana-1657	206	10	d.	d.	PROPN
cana-1657	206	11	,	,	PUNCT
cana-1657	206	12	&	&	CCONJ
cana-1657	206	13	khan	khan	PROPN
cana-1657	206	14	,	,	PUNCT
cana-1657	206	15	i.	i.	PROPN
cana-1657	206	16	(	(	PUNCT
cana-1657	206	17	2023	2023	NUM
cana-1657	206	18	)	)	PUNCT
cana-1657	206	19	.	.	PUNCT
cana-1657	207	1	a	a	DET
cana-1657	207	2	steady	steady	ADJ
cana-1657	207	3	flow	flow	NOUN
cana-1657	207	4	of	of	ADP
cana-1657	207	5	mhd	mhd	PROPN
cana-1657	207	6	maxwell	maxwell	PROPN
cana-1657	207	7	viscoelastic	viscoelastic	PROPN
cana-1657	207	8	fluid	fluid	NOUN
cana-1657	207	9	on	on	ADP
cana-1657	207	10	a	a	DET
cana-1657	207	11	flat	flat	ADJ
cana-1657	207	12	porous	porous	ADJ
cana-1657	207	13	plate	plate	NOUN
cana-1657	207	14	with	with	ADP
cana-1657	207	15	the	the	DET
cana-1657	207	16	outcome	outcome	NOUN
cana-1657	207	17	of	of	ADP
cana-1657	207	18	radiation	radiation	NOUN
cana-1657	207	19	and	and	CCONJ
cana-1657	207	20	heat	heat	NOUN
cana-1657	207	21	generation	generation	NOUN
cana-1657	207	22	.	.	PUNCT
cana-1657	208	1	frontiers	frontier	NOUN
cana-1657	208	2	in	in	ADP
cana-1657	208	3	physics	physics	PROPN
cana-1657	208	4	,	,	PUNCT
cana-1657	208	5	11	11	NUM
cana-1657	208	6	.	.	PUNCT
cana-1657	209	1	https://doi.org/10.3389/fphy.2023.1126662	https://doi.org/10.3389/fphy.2023.1126662	PROPN
cana-1657	209	2	https://doi.org/10.1142/s0217984924502270	https://doi.org/10.1142/s0217984924502270	NUM
cana-1657	209	3	https://doi.org/10.1016/j.aej.2016.07.010	https://doi.org/10.1016/j.aej.2016.07.010	PROPN
cana-1657	209	4	https://doi.org/10.22541/essoar.170264373.31639349/v1	https://doi.org/10.22541/essoar.170264373.31639349/v1	X
cana-1657	209	5	https://doi.org/10.1016/j.advwatres.2024.104752	https://doi.org/10.1016/j.advwatres.2024.104752	PROPN
cana-1657	209	6	https://doi.org/10.3389/fphy.2023.1126662	https://doi.org/10.3389/fphy.2023.1126662	PROPN
cana-1657	209	7	communications	communication	NOUN
cana-1657	209	8	on	on	ADP
cana-1657	209	9	applied	apply	VERB
cana-1657	209	10	nonlinear	nonlinear	ADJ
cana-1657	209	11	analysis	analysis	NOUN
cana-1657	209	12	issn	issn	NOUN
cana-1657	209	13	:	:	PUNCT
cana-1657	209	14	1074	1074	NUM
cana-1657	209	15	-	-	PUNCT
cana-1657	209	16	133x	133x	NUM
cana-1657	209	17	vol	vol	NOUN
cana-1657	209	18	32	32	NUM
cana-1657	209	19	no	no	NOUN
cana-1657	209	20	.	.	NOUN
cana-1657	209	21	1	1	NUM
cana-1657	209	22	(	(	PUNCT
cana-1657	209	23	2025	2025	NUM
cana-1657	209	24	)	)	PUNCT
cana-1657	210	1	371	371	NUM
cana-1657	210	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1657	210	3	[	[	X
cana-1657	210	4	8	8	X
cana-1657	210	5	]	]	X
cana-1657	210	6	muhammad	muhammad	X
cana-1657	210	7	,	,	PUNCT
cana-1657	210	8	n.	n.	NOUN
cana-1657	210	9	,	,	PUNCT
cana-1657	210	10	almutairi	almutairi	PROPN
cana-1657	210	11	,	,	PUNCT
cana-1657	210	12	s.	s.	PROPN
cana-1657	210	13	,	,	PUNCT
cana-1657	210	14	sarfraz	sarfraz	PROPN
cana-1657	210	15	,	,	PUNCT
cana-1657	210	16	m.	m.	NOUN
cana-1657	210	17	,	,	PUNCT
cana-1657	210	18	saleem	saleem	PROPN
cana-1657	210	19	,	,	PUNCT
cana-1657	210	20	s.	s.	PROPN
cana-1657	210	21	,	,	PUNCT
cana-1657	210	22	&	&	CCONJ
cana-1657	210	23	khan	khan	PROPN
cana-1657	210	24	,	,	PUNCT
cana-1657	210	25	m.	m.	NOUN
cana-1657	210	26	(	(	PUNCT
cana-1657	210	27	2024	2024	NUM
cana-1657	210	28	)	)	PUNCT
cana-1657	210	29	.	.	PUNCT
cana-1657	211	1	exploring	explore	VERB
cana-1657	211	2	cubic	cubic	ADJ
cana-1657	211	3	kinetics	kinetic	NOUN
cana-1657	211	4	in	in	ADP
cana-1657	211	5	viscoelastic	viscoelastic	ADJ
cana-1657	211	6	fluid	fluid	NOUN
cana-1657	211	7	flow	flow	NOUN
cana-1657	211	8	with	with	ADP
cana-1657	211	9	thermal	thermal	ADJ
cana-1657	211	10	viscous	viscous	ADJ
cana-1657	211	11	dissipation	dissipation	NOUN
cana-1657	211	12	on	on	ADP
cana-1657	211	13	a	a	DET
cana-1657	211	14	stretching	stretch	VERB
cana-1657	211	15	surface	surface	NOUN
cana-1657	211	16	.	.	PUNCT
cana-1657	212	1	chemical	chemical	PROPN
cana-1657	212	2	physics	physics	PROPN
cana-1657	212	3	letters	letter	NOUN
cana-1657	212	4	,	,	PUNCT
cana-1657	212	5	849	849	NUM
cana-1657	212	6	,	,	PUNCT
cana-1657	212	7	141420	141420	NUM
cana-1657	212	8	.	.	PUNCT
cana-1657	213	1	https://doi.org/10.1016/j.cplett.2024.141420	https://doi.org/10.1016/j.cplett.2024.141420	NOUN
cana-1657	213	2	[	[	X
cana-1657	213	3	9	9	NUM
cana-1657	213	4	]	]	SYM
cana-1657	213	5	choudhari	choudhari	X
cana-1657	213	6	,	,	PUNCT
cana-1657	213	7	r.	r.	PROPN
cana-1657	213	8	,	,	PUNCT
cana-1657	213	9	vaidya	vaidya	PROPN
cana-1657	213	10	,	,	PUNCT
cana-1657	213	11	h.	h.	PROPN
cana-1657	213	12	,	,	PUNCT
cana-1657	213	13	prasad	prasad	PROPN
cana-1657	213	14	,	,	PUNCT
cana-1657	213	15	k.	k.	PROPN
cana-1657	214	1	v.	v.	PROPN
cana-1657	214	2	,	,	PUNCT
cana-1657	214	3	gulab	gulab	PROPN
cana-1657	214	4	,	,	PUNCT
cana-1657	214	5	r.	r.	PROPN
cana-1657	214	6	k.	k.	PROPN
cana-1657	214	7	,	,	PUNCT
cana-1657	214	8	guedri	guedri	PROPN
cana-1657	214	9	,	,	PUNCT
cana-1657	214	10	k.	k.	PROPN
cana-1657	214	11	,	,	PUNCT
cana-1657	214	12	rehman	rehman	PROPN
cana-1657	214	13	,	,	PUNCT
cana-1657	214	14	a.	a.	PROPN
cana-1657	214	15	,	,	PUNCT
cana-1657	214	16	&	&	CCONJ
cana-1657	214	17	galal	galal	PROPN
cana-1657	214	18	,	,	PUNCT
cana-1657	214	19	a.	a.	NOUN
cana-1657	214	20	m.	m.	NOUN
cana-1657	214	21	(	(	PUNCT
cana-1657	214	22	2022	2022	NUM
cana-1657	214	23	)	)	PUNCT
cana-1657	214	24	.	.	PUNCT
cana-1657	215	1	electroosmosis	electroosmosis	PROPN
cana-1657	215	2	augmented	augment	VERB
cana-1657	215	3	mhd	mhd	PROPN
cana-1657	215	4	third	third	ADJ
cana-1657	215	5	-	-	PUNCT
cana-1657	215	6	grade	grade	NOUN
cana-1657	215	7	fluid	fluid	NOUN
cana-1657	215	8	with	with	ADP
cana-1657	215	9	slip	slip	NOUN
cana-1657	215	10	and	and	CCONJ
cana-1657	215	11	variable	variable	ADJ
cana-1657	215	12	properties	property	NOUN
cana-1657	215	13	:	:	PUNCT
cana-1657	215	14	an	an	DET
cana-1657	215	15	application	application	NOUN
cana-1657	215	16	for	for	ADP
cana-1657	215	17	blood	blood	NOUN
cana-1657	215	18	flow	flow	NOUN
cana-1657	215	19	in	in	ADP
cana-1657	215	20	arteries	artery	NOUN
cana-1657	215	21	.	.	PUNCT
cana-1657	216	1	journal	journal	NOUN
cana-1657	216	2	of	of	ADP
cana-1657	216	3	computational	computational	ADJ
cana-1657	216	4	biophysics	biophysic	NOUN
cana-1657	216	5	and	and	CCONJ
cana-1657	216	6	chemistry	chemistry	NOUN
cana-1657	216	7	,	,	PUNCT
cana-1657	216	8	22(03	22(03	PROPN
cana-1657	216	9	)	)	PUNCT
cana-1657	216	10	,	,	PUNCT
cana-1657	216	11	243–258	243–258	NUM
cana-1657	216	12	.	.	PUNCT
cana-1657	217	1	https://doi.org/10.1142/s273741652340001x	https://doi.org/10.1142/s273741652340001x	X
cana-1657	218	1	[	[	X
cana-1657	218	2	10	10	NUM
cana-1657	218	3	]	]	PUNCT
cana-1657	218	4	taneja	taneja	NOUN
cana-1657	218	5	,	,	PUNCT
cana-1657	218	6	s.	s.	PROPN
cana-1657	218	7	,	,	PUNCT
cana-1657	218	8	poply	poply	NOUN
cana-1657	218	9	,	,	PUNCT
cana-1657	218	10	v.	v.	PROPN
cana-1657	218	11	,	,	PUNCT
cana-1657	218	12	&	&	CCONJ
cana-1657	218	13	kumar	kumar	PROPN
cana-1657	218	14	,	,	PUNCT
cana-1657	218	15	p.	p.	NOUN
cana-1657	218	16	(	(	PUNCT
cana-1657	218	17	2022	2022	NUM
cana-1657	218	18	)	)	PUNCT
cana-1657	218	19	.	.	PUNCT
cana-1657	219	1	fluid	fluid	ADJ
cana-1657	219	2	properties	property	NOUN
cana-1657	219	3	of	of	ADP
cana-1657	219	4	an	an	DET
cana-1657	219	5	unsteady	unsteady	ADJ
cana-1657	219	6	mhd	mhd	NOUN
cana-1657	219	7	free	free	ADJ
cana-1657	219	8	stream	stream	NOUN
cana-1657	219	9	flow	flow	NOUN
cana-1657	219	10	over	over	ADP
cana-1657	219	11	a	a	DET
cana-1657	219	12	stretching	stretch	VERB
cana-1657	219	13	sheet	sheet	NOUN
cana-1657	219	14	in	in	ADP
cana-1657	219	15	presence	presence	NOUN
cana-1657	219	16	of	of	ADP
cana-1657	219	17	radiation	radiation	NOUN
cana-1657	219	18	.	.	PUNCT
cana-1657	220	1	heat	heat	NOUN
cana-1657	220	2	transfer	transfer	NOUN
cana-1657	220	3	,	,	PUNCT
cana-1657	220	4	52(3	52(3	NOUN
cana-1657	220	5	)	)	PUNCT
cana-1657	220	6	,	,	PUNCT
cana-1657	220	7	2383–2399	2383–2399	NUM
cana-1657	220	8	.	.	PUNCT
cana-1657	221	1	https://doi.org/10.1002/htj.22788	https://doi.org/10.1002/htj.22788	PROPN
cana-1657	222	1	[	[	X
cana-1657	222	2	11	11	NUM
cana-1657	222	3	]	]	X
cana-1657	222	4	tarakaramu	tarakaramu	ADJ
cana-1657	222	5	,	,	PUNCT
cana-1657	222	6	n.	n.	PROPN
cana-1657	222	7	,	,	PUNCT
cana-1657	222	8	narayana	narayana	PROPN
cana-1657	222	9	,	,	PUNCT
cana-1657	222	10	p.	p.	PROPN
cana-1657	222	11	s.	s.	PROPN
cana-1657	222	12	,	,	PUNCT
cana-1657	222	13	&	&	CCONJ
cana-1657	222	14	venkateswarlu	venkateswarlu	PROPN
cana-1657	222	15	,	,	PUNCT
cana-1657	222	16	b.	b.	PROPN
cana-1657	222	17	(	(	PUNCT
cana-1657	222	18	2020	2020	NUM
cana-1657	222	19	)	)	PUNCT
cana-1657	222	20	.	.	PUNCT
cana-1657	223	1	numerical	numerical	PROPN
cana-1657	223	2	simulation	simulation	PROPN
cana-1657	223	3	of	of	ADP
cana-1657	223	4	variable	variable	ADJ
cana-1657	223	5	thermal	thermal	ADJ
cana-1657	223	6	conductivity	conductivity	NOUN
cana-1657	223	7	on	on	ADP
cana-1657	223	8	3d	3d	NUM
cana-1657	223	9	flow	flow	NOUN
cana-1657	223	10	of	of	ADP
cana-1657	223	11	nanofluid	nanofluid	NOUN
cana-1657	223	12	over	over	ADP
cana-1657	223	13	a	a	DET
cana-1657	223	14	stretching	stretch	VERB
cana-1657	223	15	sheet	sheet	NOUN
cana-1657	223	16	.	.	PUNCT
cana-1657	224	1	nonlinear	nonlinear	ADJ
cana-1657	224	2	engineering	engineering	NOUN
cana-1657	224	3	,	,	PUNCT
cana-1657	224	4	9(1	9(1	NUM
cana-1657	224	5	)	)	PUNCT
cana-1657	224	6	,	,	PUNCT
cana-1657	224	7	233–243	233–243	NUM
cana-1657	224	8	.	.	PUNCT
cana-1657	225	1	https://doi.org/10.1515/nleng-2020-0011	https://doi.org/10.1515/nleng-2020-0011	X
cana-1657	226	1	[	[	X
cana-1657	226	2	12	12	NUM
cana-1657	226	3	]	]	X
cana-1657	226	4	c	c	X
cana-1657	226	5	,	,	PUNCT
cana-1657	226	6	s.	s.	PROPN
cana-1657	226	7	r.	r.	PROPN
cana-1657	226	8	,	,	PUNCT
cana-1657	226	9	naikoti	naikoti	PROPN
cana-1657	226	10	,	,	PUNCT
cana-1657	226	11	k.	k.	PROPN
cana-1657	226	12	,	,	PUNCT
cana-1657	226	13	&	&	CCONJ
cana-1657	226	14	rashidi	rashidi	PROPN
cana-1657	226	15	,	,	PUNCT
cana-1657	226	16	m.	m.	NOUN
cana-1657	226	17	m.	m.	NOUN
cana-1657	226	18	(	(	PUNCT
cana-1657	226	19	2017	2017	NUM
cana-1657	226	20	)	)	PUNCT
cana-1657	226	21	.	.	PUNCT
cana-1657	227	1	mhd	mhd	NOUN
cana-1657	227	2	flow	flow	NOUN
cana-1657	227	3	and	and	CCONJ
cana-1657	227	4	heat	heat	NOUN
cana-1657	227	5	transfer	transfer	NOUN
cana-1657	227	6	characteristics	characteristic	NOUN
cana-1657	227	7	of	of	ADP
cana-1657	227	8	williamson	williamson	PROPN
cana-1657	227	9	nanofluid	nanofluid	PROPN
cana-1657	227	10	over	over	ADP
cana-1657	227	11	a	a	DET
cana-1657	227	12	stretching	stretch	VERB
cana-1657	227	13	sheet	sheet	NOUN
cana-1657	227	14	with	with	ADP
cana-1657	227	15	variable	variable	ADJ
cana-1657	227	16	thickness	thickness	NOUN
cana-1657	227	17	and	and	CCONJ
cana-1657	227	18	variable	variable	ADJ
cana-1657	227	19	thermal	thermal	ADJ
cana-1657	227	20	conductivity	conductivity	NOUN
cana-1657	227	21	.	.	PUNCT
cana-1657	228	1	transactions	transaction	NOUN
cana-1657	228	2	of	of	ADP
cana-1657	228	3	a	a	DET
cana-1657	228	4	razmadze	razmadze	PROPN
cana-1657	228	5	mathematical	mathematical	PROPN
cana-1657	228	6	institute	institute	NOUN
cana-1657	228	7	,	,	PUNCT
cana-1657	228	8	171(2	171(2	NUM
cana-1657	228	9	)	)	PUNCT
cana-1657	228	10	,	,	PUNCT
cana-1657	228	11	195–211	195–211	NUM
cana-1657	228	12	.	.	PUNCT
cana-1657	229	1	https://doi.org/10.1016/j.trmi.2017.02.004	https://doi.org/10.1016/j.trmi.2017.02.004	NOUN
cana-1657	229	2	[	[	X
cana-1657	229	3	13	13	NUM
cana-1657	229	4	]	]	X
cana-1657	229	5	sun	sun	PROPN
cana-1657	229	6	,	,	PUNCT
cana-1657	229	7	b.	b.	PROPN
cana-1657	229	8	,	,	PUNCT
cana-1657	229	9	peng	peng	PROPN
cana-1657	229	10	,	,	PUNCT
cana-1657	229	11	c.	c.	PROPN
cana-1657	229	12	,	,	PUNCT
cana-1657	229	13	zuo	zuo	PROPN
cana-1657	229	14	,	,	PUNCT
cana-1657	229	15	r.	r.	PROPN
cana-1657	229	16	,	,	PUNCT
cana-1657	229	17	yang	yang	PROPN
cana-1657	229	18	,	,	PUNCT
cana-1657	229	19	d.	d.	PROPN
cana-1657	229	20	,	,	PUNCT
cana-1657	229	21	&	&	CCONJ
cana-1657	229	22	li	li	PROPN
cana-1657	229	23	,	,	PUNCT
cana-1657	229	24	h.	h.	PROPN
cana-1657	229	25	(	(	PUNCT
cana-1657	229	26	2016	2016	NUM
cana-1657	229	27	)	)	PUNCT
cana-1657	229	28	.	.	PUNCT
cana-1657	230	1	investigation	investigation	NOUN
cana-1657	230	2	on	on	ADP
cana-1657	230	3	the	the	DET
cana-1657	230	4	flow	flow	NOUN
cana-1657	230	5	and	and	CCONJ
cana-1657	230	6	convective	convective	ADJ
cana-1657	230	7	heat	heat	NOUN
cana-1657	230	8	transfer	transfer	NOUN
cana-1657	230	9	characteristics	characteristic	NOUN
cana-1657	230	10	of	of	ADP
cana-1657	230	11	nanofluids	nanofluid	NOUN
cana-1657	230	12	in	in	ADP
cana-1657	230	13	the	the	DET
cana-1657	230	14	plate	plate	NOUN
cana-1657	230	15	heat	heat	NOUN
cana-1657	230	16	exchanger	exchanger	NOUN
cana-1657	230	17	.	.	PUNCT
cana-1657	231	1	experimental	experimental	ADJ
cana-1657	231	2	thermal	thermal	ADJ
cana-1657	231	3	and	and	CCONJ
cana-1657	231	4	fluid	fluid	ADJ
cana-1657	231	5	science	science	NOUN
cana-1657	231	6	,	,	PUNCT
cana-1657	231	7	76	76	NUM
cana-1657	231	8	,	,	PUNCT
cana-1657	231	9	75–86	75–86	NUM
cana-1657	231	10	.	.	PUNCT
cana-1657	232	1	https://doi.org/10.1016/j.expthermflusci.2016.03.005	https://doi.org/10.1016/j.expthermflusci.2016.03.005	VERB
cana-1657	233	1	[	[	X
cana-1657	233	2	14	14	NUM
cana-1657	233	3	]	]	X
cana-1657	233	4	sheikholeslami	sheikholeslami	NOUN
cana-1657	233	5	,	,	PUNCT
cana-1657	233	6	m.	m.	NOUN
cana-1657	233	7	,	,	PUNCT
cana-1657	233	8	&	&	CCONJ
cana-1657	233	9	rokni	rokni	PROPN
cana-1657	233	10	,	,	PUNCT
cana-1657	233	11	h.	h.	PROPN
cana-1657	233	12	b.	b.	PROPN
cana-1657	233	13	(	(	PUNCT
cana-1657	233	14	2017	2017	NUM
cana-1657	233	15	)	)	PUNCT
cana-1657	233	16	.	.	PUNCT
cana-1657	234	1	effect	effect	NOUN
cana-1657	234	2	of	of	ADP
cana-1657	234	3	melting	melt	VERB
cana-1657	234	4	heat	heat	NOUN
cana-1657	234	5	transfer	transfer	NOUN
cana-1657	234	6	on	on	ADP
cana-1657	234	7	nanofluid	nanofluid	ADJ
cana-1657	234	8	flow	flow	NOUN
cana-1657	234	9	in	in	ADP
cana-1657	234	10	existence	existence	NOUN
cana-1657	234	11	of	of	ADP
cana-1657	234	12	magnetic	magnetic	ADJ
cana-1657	234	13	field	field	NOUN
cana-1657	234	14	considering	consider	VERB
cana-1657	234	15	buongiorno	buongiorno	PROPN
cana-1657	234	16	model	model	NOUN
cana-1657	234	17	.	.	PUNCT
cana-1657	235	1	chinese	chinese	ADJ
cana-1657	235	2	journal	journal	PROPN
cana-1657	235	3	of	of	ADP
cana-1657	235	4	physics	physics	PROPN
cana-1657	235	5	,	,	PUNCT
cana-1657	235	6	55(4	55(4	NUM
cana-1657	235	7	)	)	PUNCT
cana-1657	235	8	,	,	PUNCT
cana-1657	235	9	1115–1126	1115–1126	NUM
cana-1657	235	10	.	.	PUNCT
cana-1657	236	1	https://doi.org/10.1016/j.cjph.2017.04.019	https://doi.org/10.1016/j.cjph.2017.04.019	NUM
cana-1657	236	2	[	[	NOUN
cana-1657	236	3	15	15	NUM
cana-1657	236	4	]	]	X
cana-1657	236	5	prasannakumara	prasannakumara	NOUN
cana-1657	236	6	,	,	PUNCT
cana-1657	236	7	b.	b.	PROPN
cana-1657	236	8	c.	c.	PROPN
cana-1657	236	9	,	,	PUNCT
cana-1657	236	10	ramesh	ramesh	PROPN
cana-1657	236	11	,	,	PUNCT
cana-1657	236	12	k.	k.	PROPN
cana-1657	236	13	,	,	PUNCT
cana-1657	236	14	kumar	kumar	PROPN
cana-1657	236	15	,	,	PUNCT
cana-1657	236	16	r.	r.	PROPN
cana-1657	236	17	n.	n.	PROPN
cana-1657	236	18	,	,	PUNCT
cana-1657	236	19	&	&	CCONJ
cana-1657	236	20	gowda	gowda	PROPN
cana-1657	236	21	,	,	PUNCT
cana-1657	236	22	r.	r.	PROPN
cana-1657	236	23	j.	j.	PROPN
cana-1657	236	24	p.	p.	PROPN
cana-1657	236	25	(	(	PUNCT
cana-1657	236	26	2023	2023	NUM
cana-1657	236	27	)	)	PUNCT
cana-1657	236	28	.	.	PUNCT
cana-1657	237	1	3d	3d	NUM
cana-1657	237	2	boundary	boundary	ADJ
cana-1657	237	3	layer	layer	NOUN
cana-1657	237	4	flow	flow	NOUN
cana-1657	237	5	of	of	ADP
cana-1657	237	6	conducting	conduct	VERB
cana-1657	237	7	nanoliquid	nanoliquid	NOUN
cana-1657	237	8	over	over	ADP
cana-1657	237	9	a	a	DET
cana-1657	237	10	stretching	stretch	VERB
cana-1657	237	11	sheet	sheet	NOUN
cana-1657	237	12	with	with	ADP
cana-1657	237	13	homogeneous	homogeneous	ADJ
cana-1657	237	14	and	and	CCONJ
cana-1657	237	15	heterogeneous	heterogeneous	ADJ
cana-1657	237	16	reactions	reaction	NOUN
cana-1657	237	17	.	.	PUNCT
cana-1657	238	1	in	in	ADP
cana-1657	238	2	crc	crc	PROPN
cana-1657	238	3	press	press	NOUN
cana-1657	238	4	ebooks	ebook	NOUN
cana-1657	238	5	(	(	PUNCT
cana-1657	238	6	pp	pp	ADV
cana-1657	238	7	.	.	PUNCT
cana-1657	239	1	363–380	363–380	NUM
cana-1657	239	2	)	)	PUNCT
cana-1657	239	3	.	.	PUNCT
cana-1657	240	1	https://doi.org/10.1201/9781003299608-21	https://doi.org/10.1201/9781003299608-21	PROPN
cana-1657	240	2	[	[	X
cana-1657	240	3	16	16	NUM
cana-1657	240	4	]	]	PUNCT
cana-1657	240	5	alhazmi	alhazmi	PROPN
cana-1657	240	6	,	,	PUNCT
cana-1657	240	7	m.	m.	NOUN
cana-1657	240	8	,	,	PUNCT
cana-1657	240	9	&	&	CCONJ
cana-1657	240	10	ahmed	ahmed	PROPN
cana-1657	240	11	,	,	PUNCT
cana-1657	240	12	s.	s.	PROPN
cana-1657	240	13	e.	e.	PROPN
cana-1657	240	14	(	(	PUNCT
cana-1657	240	15	2024	2024	NUM
cana-1657	240	16	)	)	PUNCT
cana-1657	240	17	.	.	PUNCT
cana-1657	241	1	3d	3d	NUM
cana-1657	241	2	flow	flow	NOUN
cana-1657	241	3	of	of	ADP
cana-1657	241	4	variable	variable	ADJ
cana-1657	241	5	properties	property	NOUN
cana-1657	241	6	viscoelastic	viscoelastic	NOUN
cana-1657	241	7	nanofluids	nanofluid	NOUN
cana-1657	241	8	with	with	ADP
cana-1657	241	9	impacts	impact	NOUN
cana-1657	241	10	of	of	ADP
cana-1657	241	11	arrhenius	arrhenius	PROPN
cana-1657	241	12	energy	energy	NOUN
cana-1657	241	13	and	and	CCONJ
cana-1657	241	14	cattaneo	cattaneo	NOUN
cana-1657	241	15	–	–	PUNCT
cana-1657	241	16	christov	christov	ADJ
cana-1657	241	17	double	double	ADJ
cana-1657	241	18	-	-	PUNCT
cana-1657	241	19	diffusion	diffusion	NOUN
cana-1657	241	20	.	.	PUNCT
cana-1657	242	1	numerical	numerical	PROPN
cana-1657	242	2	heat	heat	PROPN
cana-1657	242	3	transfer	transfer	NOUN
cana-1657	242	4	part	part	NOUN
cana-1657	242	5	a	a	DET
cana-1657	242	6	applications	application	NOUN
cana-1657	242	7	,	,	PUNCT
cana-1657	242	8	1–20	1–20	PROPN
cana-1657	242	9	.	.	PUNCT
cana-1657	243	1	https://doi.org/10.1080/10407782.2024.2310602	https://doi.org/10.1080/10407782.2024.2310602	PUNCT
cana-1657	244	1	[	[	X
cana-1657	244	2	17	17	NUM
cana-1657	244	3	]	]	X
cana-1657	244	4	rafique	rafique	PROPN
cana-1657	244	5	,	,	PUNCT
cana-1657	244	6	k.	k.	PROPN
cana-1657	244	7	,	,	PUNCT
cana-1657	244	8	mahmood	mahmood	PROPN
cana-1657	244	9	,	,	PUNCT
cana-1657	244	10	z.	z.	PROPN
cana-1657	244	11	,	,	PUNCT
cana-1657	244	12	&	&	CCONJ
cana-1657	244	13	khan	khan	PROPN
cana-1657	244	14	,	,	PUNCT
cana-1657	244	15	u.	u.	PROPN
cana-1657	244	16	(	(	PUNCT
cana-1657	244	17	2023	2023	NUM
cana-1657	244	18	)	)	PUNCT
cana-1657	244	19	.	.	PUNCT
cana-1657	245	1	mathematical	mathematical	ADJ
cana-1657	245	2	analysis	analysis	NOUN
cana-1657	245	3	of	of	ADP
cana-1657	245	4	mhd	mhd	NOUN
cana-1657	245	5	hybrid	hybrid	ADJ
cana-1657	245	6	nanofluid	nanofluid	PROPN
cana-1657	245	7	flow	flow	NOUN
cana-1657	245	8	with	with	ADP
cana-1657	245	9	variable	variable	ADJ
cana-1657	245	10	viscosity	viscosity	NOUN
cana-1657	245	11	and	and	CCONJ
cana-1657	245	12	slip	slip	VERB
cana-1657	245	13	conditions	condition	NOUN
cana-1657	245	14	over	over	ADP
cana-1657	245	15	a	a	DET
cana-1657	245	16	stretching	stretch	VERB
cana-1657	245	17	surface	surface	NOUN
cana-1657	245	18	.	.	PUNCT
cana-1657	246	1	materials	material	NOUN
cana-1657	246	2	today	today	NOUN
cana-1657	246	3	communications	communication	NOUN
cana-1657	246	4	,	,	PUNCT
cana-1657	246	5	36	36	NUM
cana-1657	246	6	,	,	PUNCT
cana-1657	246	7	106692	106692	NUM
cana-1657	246	8	.	.	PUNCT
cana-1657	247	1	https://doi.org/10.1016/j.mtcomm.2023.106692	https://doi.org/10.1016/j.mtcomm.2023.106692	PROPN
cana-1657	247	2	[	[	X
cana-1657	247	3	18	18	NUM
cana-1657	247	4	]	]	X
cana-1657	247	5	aziz	aziz	PROPN
cana-1657	247	6	,	,	PUNCT
cana-1657	247	7	a.	a.	PROPN
cana-1657	247	8	,	,	PUNCT
cana-1657	247	9	hussain	hussain	PROPN
cana-1657	247	10	,	,	PUNCT
cana-1657	247	11	s.	s.	PROPN
cana-1657	247	12	t.	t.	PROPN
cana-1657	247	13	,	,	PUNCT
cana-1657	247	14	&	&	CCONJ
cana-1657	247	15	sadiq	sadiq	PROPN
cana-1657	247	16	,	,	PUNCT
cana-1657	247	17	a.	a.	NOUN
cana-1657	247	18	(	(	PUNCT
cana-1657	247	19	2023	2023	NUM
cana-1657	247	20	)	)	PUNCT
cana-1657	247	21	.	.	PUNCT
cana-1657	248	1	mathematical	mathematical	ADJ
cana-1657	248	2	model	model	NOUN
cana-1657	248	3	for	for	ADP
cana-1657	248	4	a	a	DET
cana-1657	248	5	thermal	thermal	ADJ
cana-1657	248	6	cooling	cool	VERB
cana-1657	248	7	system	system	NOUN
cana-1657	248	8	with	with	ADP
cana-1657	248	9	variable	variable	ADJ
cana-1657	248	10	viscosity	viscosity	NOUN
cana-1657	248	11	and	and	CCONJ
cana-1657	248	12	thermal	thermal	ADJ
cana-1657	248	13	conductivity	conductivity	NOUN
cana-1657	248	14	over	over	ADP
cana-1657	248	15	a	a	DET
cana-1657	248	16	rotating	rotate	VERB
cana-1657	248	17	disk	disk	NOUN
cana-1657	248	18	.	.	PUNCT
cana-1657	249	1	case	case	NOUN
cana-1657	249	2	studies	study	NOUN
cana-1657	249	3	in	in	ADP
cana-1657	249	4	thermal	thermal	ADJ
cana-1657	249	5	engineering	engineering	NOUN
cana-1657	249	6	,	,	PUNCT
cana-1657	249	7	52	52	NUM
cana-1657	249	8	,	,	PUNCT
cana-1657	249	9	103664	103664	NUM
cana-1657	249	10	.	.	PUNCT
cana-1657	250	1	https://doi.org/10.1016/j.csite.2023.103664	https://doi.org/10.1016/j.csite.2023.103664	NOUN
cana-1657	250	2	[	[	X
cana-1657	250	3	19	19	NUM
cana-1657	250	4	]	]	X
cana-1657	250	5	mishra	mishra	PROPN
cana-1657	250	6	,	,	PUNCT
cana-1657	250	7	n.	n.	PROPN
cana-1657	250	8	k.	k.	PROPN
cana-1657	250	9	,	,	PUNCT
cana-1657	250	10	sharma	sharma	PROPN
cana-1657	250	11	,	,	PUNCT
cana-1657	250	12	m.	m.	NOUN
cana-1657	250	13	,	,	PUNCT
cana-1657	250	14	sharma	sharma	PROPN
cana-1657	250	15	,	,	PUNCT
cana-1657	250	16	b.	b.	PROPN
cana-1657	250	17	k.	k.	PROPN
cana-1657	250	18	,	,	PUNCT
cana-1657	250	19	&	&	CCONJ
cana-1657	250	20	khanduri	khanduri	PROPN
cana-1657	250	21	,	,	PUNCT
cana-1657	250	22	u.	u.	PROPN
cana-1657	250	23	(	(	PUNCT
cana-1657	250	24	2023	2023	NUM
cana-1657	250	25	)	)	PUNCT
cana-1657	250	26	.	.	PUNCT
cana-1657	251	1	soret	soret	VERB
cana-1657	251	2	and	and	CCONJ
cana-1657	251	3	dufour	dufour	PROPN
cana-1657	251	4	effects	effect	NOUN
cana-1657	251	5	on	on	ADP
cana-1657	251	6	mhd	mhd	PROPN
cana-1657	251	7	nanofluid	nanofluid	PROPN
cana-1657	251	8	flow	flow	NOUN
cana-1657	251	9	of	of	ADP
cana-1657	251	10	blood	blood	NOUN
cana-1657	251	11	through	through	ADP
cana-1657	251	12	a	a	DET
cana-1657	251	13	stenosed	stenosed	ADJ
cana-1657	251	14	artery	artery	NOUN
cana-1657	251	15	with	with	ADP
cana-1657	251	16	variable	variable	ADJ
cana-1657	251	17	viscosity	viscosity	NOUN
cana-1657	251	18	.	.	PUNCT
cana-1657	252	1	international	international	ADJ
cana-1657	252	2	journal	journal	NOUN
cana-1657	252	3	of	of	ADP
cana-1657	252	4	modern	modern	ADJ
cana-1657	252	5	physics	physics	PROPN
cana-1657	252	6	b	b	PROPN
cana-1657	252	7	,	,	PUNCT
cana-1657	252	8	37(30	37(30	NUM
cana-1657	252	9	)	)	PUNCT
cana-1657	252	10	.	.	PUNCT
cana-1657	253	1	https://doi.org/10.1142/s0217979223502661	https://doi.org/10.1142/s0217979223502661	NUM
cana-1657	253	2	[	[	X
cana-1657	253	3	20	20	NUM
cana-1657	253	4	]	]	X
cana-1657	253	5	rehman	rehman	PROPN
cana-1657	253	6	,	,	PUNCT
cana-1657	253	7	a.	a.	PROPN
cana-1657	253	8	,	,	PUNCT
cana-1657	253	9	khun	khun	PROPN
cana-1657	253	10	,	,	PUNCT
cana-1657	253	11	m.	m.	PROPN
cana-1657	253	12	c.	c.	PROPN
cana-1657	253	13	,	,	PUNCT
cana-1657	253	14	alotaibi	alotaibi	PROPN
cana-1657	253	15	,	,	PUNCT
cana-1657	253	16	h.	h.	PROPN
cana-1657	253	17	,	,	PUNCT
cana-1657	253	18	&	&	CCONJ
cana-1657	253	19	inc	inc	PROPN
cana-1657	253	20	,	,	PUNCT
cana-1657	253	21	m.	m.	NOUN
cana-1657	253	22	(	(	PUNCT
cana-1657	253	23	2024	2024	NUM
cana-1657	253	24	)	)	PUNCT
cana-1657	253	25	.	.	PUNCT
cana-1657	254	1	the	the	DET
cana-1657	254	2	influence	influence	NOUN
cana-1657	254	3	of	of	ADP
cana-1657	254	4	marangoni	marangoni	NOUN
cana-1657	254	5	convection	convection	NOUN
cana-1657	254	6	in	in	ADP
cana-1657	254	7	engine	engine	NOUN
cana-1657	254	8	oil	oil	NOUN
cana-1657	254	9	base	base	NOUN
cana-1657	254	10	nanofluid	nanofluid	PROPN
cana-1657	254	11	with	with	ADP
cana-1657	254	12	the	the	DET
cana-1657	254	13	impact	impact	NOUN
cana-1657	254	14	of	of	ADP
cana-1657	254	15	variable	variable	ADJ
cana-1657	254	16	viscosity	viscosity	NOUN
cana-1657	254	17	and	and	CCONJ
cana-1657	254	18	viscous	viscous	ADJ
cana-1657	254	19	dissipation	dissipation	NOUN
cana-1657	254	20	on	on	ADP
cana-1657	254	21	infinite	infinite	ADJ
cana-1657	254	22	disk	disk	NOUN
cana-1657	254	23	.	.	PUNCT
cana-1657	255	1	zamm	zamm	PROPN
cana-1657	255	2	‐	‐	PROPN
cana-1657	255	3	journal	journal	NOUN
cana-1657	255	4	of	of	ADP
cana-1657	255	5	applied	apply	VERB
cana-1657	255	6	mathematics	mathematic	NOUN
cana-1657	255	7	and	and	CCONJ
cana-1657	255	8	mechanics	mechanic	NOUN
cana-1657	255	9	/	/	SYM
cana-1657	255	10	zeitschrift	zeitschrift	PROPN
cana-1657	255	11	für	für	PROPN
cana-1657	255	12	angewandte	angewandte	PROPN
cana-1657	255	13	mathematik	mathematik	PROPN
cana-1657	255	14	und	und	PROPN
cana-1657	255	15	mechanik	mechanik	PROPN
cana-1657	255	16	.	.	PUNCT
cana-1657	256	1	https://doi.org/10.1002/zamm.202300556	https://doi.org/10.1002/zamm.202300556	NOUN
cana-1657	256	2	[	[	X
cana-1657	256	3	21	21	NUM
cana-1657	256	4	]	]	X
cana-1657	256	5	ali	ali	PROPN
cana-1657	256	6	,	,	PUNCT
cana-1657	256	7	l.	l.	PROPN
cana-1657	256	8	,	,	PUNCT
cana-1657	256	9	liu	liu	PROPN
cana-1657	256	10	,	,	PUNCT
cana-1657	256	11	x.	x.	PROPN
cana-1657	256	12	,	,	PUNCT
cana-1657	256	13	&	&	CCONJ
cana-1657	256	14	ali	ali	PROPN
cana-1657	256	15	,	,	PUNCT
cana-1657	256	16	b.	b.	PROPN
cana-1657	256	17	(	(	PUNCT
cana-1657	256	18	2020	2020	NUM
cana-1657	256	19	)	)	PUNCT
cana-1657	256	20	.	.	PUNCT
cana-1657	257	1	finite	finite	PROPN
cana-1657	257	2	element	element	NOUN
cana-1657	257	3	analysis	analysis	NOUN
cana-1657	257	4	of	of	ADP
cana-1657	257	5	variable	variable	ADJ
cana-1657	257	6	viscosity	viscosity	NOUN
cana-1657	257	7	impact	impact	NOUN
cana-1657	257	8	on	on	ADP
cana-1657	257	9	mhd	mhd	NOUN
cana-1657	257	10	flow	flow	NOUN
cana-1657	257	11	and	and	CCONJ
cana-1657	257	12	heat	heat	NOUN
cana-1657	257	13	transfer	transfer	NOUN
cana-1657	257	14	of	of	ADP
cana-1657	257	15	nanofluid	nanofluid	NOUN
cana-1657	257	16	using	use	VERB
cana-1657	257	17	the	the	DET
cana-1657	257	18	cattaneo	cattaneo	NOUN
cana-1657	257	19	–	–	PUNCT
cana-1657	257	20	christov	christov	NOUN
cana-1657	257	21	model	model	NOUN
cana-1657	257	22	.	.	PUNCT
cana-1657	258	1	coatings	coating	NOUN
cana-1657	258	2	,	,	PUNCT
cana-1657	258	3	10(4	10(4	NUM
cana-1657	258	4	)	)	PUNCT
cana-1657	258	5	,	,	PUNCT
cana-1657	258	6	395	395	NUM
cana-1657	258	7	.	.	PUNCT
cana-1657	259	1	https://doi.org/10.3390/coatings10040395	https://doi.org/10.3390/coatings10040395	PROPN
cana-1657	260	1	[	[	X
cana-1657	260	2	22	22	NUM
cana-1657	260	3	]	]	X
cana-1657	260	4	basha	basha	PROPN
cana-1657	260	5	,	,	PUNCT
cana-1657	260	6	h.	h.	PROPN
cana-1657	260	7	(	(	PUNCT
cana-1657	260	8	2024	2024	NUM
cana-1657	260	9	)	)	PUNCT
cana-1657	260	10	.	.	PUNCT
cana-1657	260	11	significance	significance	NOUN
cana-1657	260	12	of	of	ADP
cana-1657	260	13	variability	variability	NOUN
cana-1657	260	14	in	in	ADP
cana-1657	260	15	liquid	liquid	ADJ
cana-1657	260	16	properties	property	NOUN
cana-1657	260	17	on	on	ADP
cana-1657	260	18	3d	3d	PROPN
cana-1657	260	19	mhd	mhd	PROPN
cana-1657	260	20	maxwell	maxwell	PROPN
cana-1657	260	21	nanofluid	nanofluid	PROPN
cana-1657	260	22	flows	flow	VERB
cana-1657	260	23	over	over	ADP
cana-1657	260	24	a	a	DET
cana-1657	260	25	stretching	stretch	VERB
cana-1657	260	26	surface	surface	NOUN
cana-1657	260	27	with	with	ADP
cana-1657	260	28	heat	heat	NOUN
cana-1657	260	29	generation	generation	NOUN
cana-1657	260	30	/	/	SYM
cana-1657	260	31	absorption	absorption	NOUN
cana-1657	260	32	and	and	CCONJ
cana-1657	260	33	chemical	chemical	NOUN
cana-1657	260	34	reaction	reaction	NOUN
cana-1657	260	35	.	.	PUNCT
cana-1657	261	1	journal	journal	NOUN
cana-1657	261	2	of	of	ADP
cana-1657	261	3	nanofluids	nanofluid	NOUN
cana-1657	261	4	,	,	PUNCT
cana-1657	261	5	13(1	13(1	NUM
cana-1657	261	6	)	)	PUNCT
cana-1657	261	7	,	,	PUNCT
cana-1657	261	8	15–27	15–27	NUM
cana-1657	261	9	.	.	PUNCT
cana-1657	262	1	https://doi.org/10.1166/jon.2024.2124	https://doi.org/10.1166/jon.2024.2124	ADJ
cana-1657	263	1	[	[	X
cana-1657	263	2	23	23	NUM
cana-1657	263	3	]	]	X
cana-1657	263	4	vaidya	vaidya	PROPN
cana-1657	263	5	,	,	PUNCT
cana-1657	263	6	h.	h.	PROPN
cana-1657	263	7	,	,	PUNCT
cana-1657	263	8	prasad	prasad	PROPN
cana-1657	263	9	,	,	PUNCT
cana-1657	263	10	k.	k.	PROPN
cana-1657	263	11	v.	v.	PROPN
cana-1657	263	12	,	,	PUNCT
cana-1657	263	13	vajravelu	vajravelu	NOUN
cana-1657	263	14	,	,	PUNCT
cana-1657	263	15	k.	k.	PROPN
cana-1657	263	16	,	,	PUNCT
cana-1657	263	17	shehzad	shehzad	PROPN
cana-1657	263	18	,	,	PUNCT
cana-1657	263	19	s.	s.	PROPN
cana-1657	263	20	a.	a.	PROPN
cana-1657	263	21	,	,	PUNCT
cana-1657	263	22	&	&	CCONJ
cana-1657	263	23	basha	basha	PROPN
cana-1657	263	24	,	,	PUNCT
cana-1657	263	25	h.	h.	PROPN
cana-1657	263	26	(	(	PUNCT
cana-1657	263	27	2018	2018	NUM
cana-1657	263	28	)	)	PUNCT
cana-1657	263	29	.	.	PUNCT
cana-1657	264	1	role	role	NOUN
cana-1657	264	2	of	of	ADP
cana-1657	264	3	variable	variable	ADJ
cana-1657	264	4	liquid	liquid	ADJ
cana-1657	264	5	properties	property	NOUN
cana-1657	264	6	in	in	ADP
cana-1657	264	7	3d	3d	NUM
cana-1657	264	8	flow	flow	NOUN
cana-1657	264	9	of	of	ADP
cana-1657	264	10	maxwell	maxwell	PROPN
cana-1657	264	11	nanofluid	nanofluid	PROPN
cana-1657	264	12	over	over	ADP
cana-1657	264	13	convectively	convectively	ADV
cana-1657	264	14	heated	heated	ADJ
cana-1657	264	15	surface	surface	NOUN
cana-1657	264	16	:	:	PUNCT
cana-1657	264	17	optimal	optimal	ADJ
cana-1657	264	18	solutions	solution	NOUN
cana-1657	264	19	.	.	PUNCT
cana-1657	265	1	journal	journal	NOUN
cana-1657	265	2	of	of	ADP
cana-1657	265	3	nanofluids	nanofluid	NOUN
cana-1657	265	4	,	,	PUNCT
cana-1657	265	5	8(5	8(5	NUM
cana-1657	265	6	)	)	PUNCT
cana-1657	265	7	,	,	PUNCT
cana-1657	265	8	1133–1146	1133–1146	NUM
cana-1657	265	9	.	.	PUNCT
cana-1657	266	1	https://doi.org/10.1166/jon.2019.1658	https://doi.org/10.1166/jon.2019.1658	PROPN
cana-1657	267	1	[	[	X
cana-1657	267	2	24	24	NUM
cana-1657	267	3	]	]	X
cana-1657	267	4	wang	wang	PROPN
cana-1657	267	5	,	,	PUNCT
cana-1657	267	6	c.	c.	PROPN
cana-1657	267	7	y.	y.	PROPN
cana-1657	267	8	(	(	PUNCT
cana-1657	267	9	1984	1984	NUM
cana-1657	267	10	)	)	PUNCT
cana-1657	267	11	.	.	PUNCT
cana-1657	268	1	the	the	DET
cana-1657	268	2	three	three	NUM
cana-1657	268	3	-	-	PUNCT
cana-1657	268	4	dimensional	dimensional	ADJ
cana-1657	268	5	flow	flow	NOUN
cana-1657	268	6	due	due	ADP
cana-1657	268	7	to	to	ADP
cana-1657	268	8	a	a	DET
cana-1657	268	9	stretching	stretch	VERB
cana-1657	268	10	flat	flat	ADJ
cana-1657	268	11	surface	surface	NOUN
cana-1657	268	12	.	.	PUNCT
cana-1657	269	1	the	the	DET
cana-1657	269	2	physics	physics	PROPN
cana-1657	269	3	of	of	ADP
cana-1657	269	4	fluids	fluid	NOUN
cana-1657	269	5	,	,	PUNCT
cana-1657	269	6	27(8	27(8	NUM
cana-1657	269	7	)	)	PUNCT
cana-1657	269	8	,	,	PUNCT
cana-1657	269	9	1915–1917	1915–1917	NUM
cana-1657	269	10	.	.	PUNCT
cana-1657	270	1	https://doi.org/10.1063/1.864868	https://doi.org/10.1063/1.864868	PROPN
cana-1657	270	2	https://doi.org/10.1016/j.cplett.2024.141420	https://doi.org/10.1016/j.cplett.2024.141420	PROPN
cana-1657	270	3	https://doi.org/10.1142/s273741652340001x	https://doi.org/10.1142/s273741652340001x	PRON
cana-1657	270	4	https://doi.org/10.1002/htj.22788	https://doi.org/10.1002/htj.22788	PROPN
cana-1657	270	5	https://doi.org/10.1515/nleng-2020-0011	https://doi.org/10.1515/nleng-2020-0011	PROPN
cana-1657	270	6	https://doi.org/10.1016/j.trmi.2017.02.004	https://doi.org/10.1016/j.trmi.2017.02.004	NOUN
cana-1657	270	7	https://doi.org/10.1016/j.expthermflusci.2016.03.005	https://doi.org/10.1016/j.expthermflusci.2016.03.005	VERB
cana-1657	270	8	https://doi.org/10.1016/j.cjph.2017.04.019	https://doi.org/10.1016/j.cjph.2017.04.019	PRON
cana-1657	270	9	https://doi.org/10.1201/9781003299608-21	https://doi.org/10.1201/9781003299608-21	PROPN
cana-1657	270	10	https://doi.org/10.1080/10407782.2024.2310602	https://doi.org/10.1080/10407782.2024.2310602	PROPN
cana-1657	270	11	https://doi.org/10.1016/j.mtcomm.2023.106692	https://doi.org/10.1016/j.mtcomm.2023.106692	PROPN
cana-1657	270	12	https://doi.org/10.1016/j.csite.2023.103664	https://doi.org/10.1016/j.csite.2023.103664	PROPN
cana-1657	270	13	https://doi.org/10.1142/s0217979223502661	https://doi.org/10.1142/s0217979223502661	NUM
cana-1657	270	14	https://doi.org/10.1002/zamm.202300556	https://doi.org/10.1002/zamm.202300556	NOUN
cana-1657	270	15	https://doi.org/10.3390/coatings10040395	https://doi.org/10.3390/coatings10040395	NOUN
cana-1657	270	16	https://doi.org/10.1166/jon.2024.2124	https://doi.org/10.1166/jon.2024.2124	NOUN
cana-1657	270	17	https://doi.org/10.1166/jon.2019.1658	https://doi.org/10.1166/jon.2019.1658	PROPN
cana-1657	270	18	https://doi.org/10.1063/1.864868	https://doi.org/10.1063/1.864868	VERB