id	sid	tid	token	lemma	pos
cana-541	1	1	communications	communication	NOUN
cana-541	1	2	on	on	ADP
cana-541	1	3	applied	apply	VERB
cana-541	1	4	nonlinear	nonlinear	ADJ
cana-541	1	5	analysis	analysis	NOUN
cana-541	1	6	issn	issn	NOUN
cana-541	1	7	:	:	PUNCT
cana-541	1	8	1074	1074	NUM
cana-541	1	9	-	-	PUNCT
cana-541	1	10	133x	133x	NUM
cana-541	1	11	vol	vol	NOUN
cana-541	1	12	31	31	NUM
cana-541	1	13	no	no	NOUN
cana-541	1	14	.	.	NOUN
cana-541	1	15	2	2	NUM
cana-541	1	16	(	(	PUNCT
cana-541	1	17	2024	2024	NUM
cana-541	1	18	)	)	PUNCT
cana-541	1	19	259	259	NUM
cana-541	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	1	21	the	the	DET
cana-541	1	22	impact	impact	NOUN
cana-541	1	23	of	of	ADP
cana-541	1	24	volume	volume	NOUN
cana-541	1	25	fraction	fraction	NOUN
cana-541	1	26	and	and	CCONJ
cana-541	1	27	nanoparticles	nanoparticle	NOUN
cana-541	1	28	in	in	ADP
cana-541	1	29	the	the	DET
cana-541	1	30	flow	flow	NOUN
cana-541	1	31	of	of	ADP
cana-541	1	32	nanofluids	nanofluid	NOUN
cana-541	1	33	along	along	ADP
cana-541	1	34	the	the	DET
cana-541	1	35	boundary	boundary	ADJ
cana-541	1	36	layer	layer	NOUN
cana-541	1	37	over	over	ADP
cana-541	1	38	a	a	DET
cana-541	1	39	flat	flat	ADJ
cana-541	1	40	plate	plate	NOUN
cana-541	1	41	*	*	PUNCT
cana-541	1	42	rose	rise	VERB
cana-541	1	43	paul	paul	PROPN
cana-541	1	44	,	,	PUNCT
cana-541	1	45	*	*	PROPN
cana-541	1	46	*	*	PROPN
cana-541	1	47	julie	julie	PROPN
cana-541	1	48	andrews	andrews	PROPN
cana-541	1	49	,	,	PUNCT
cana-541	1	50	*	*	PUNCT
cana-541	1	51	*	*	PUNCT
cana-541	1	52	*	*	PUNCT
cana-541	1	53	naveen	naveen	PROPN
cana-541	1	54	v	v	PROPN
cana-541	1	55	v	v	NOUN
cana-541	1	56	,	,	PUNCT
cana-541	1	57	*	*	PUNCT
cana-541	1	58	*	*	PUNCT
cana-541	1	59	*	*	PUNCT
cana-541	1	60	*	*	PUNCT
cana-541	2	1	p.	p.	NOUN
cana-541	2	2	suriyakumar	suriyakumar	PROPN
cana-541	2	3	*	*	PUNCT
cana-541	2	4	research	research	NOUN
cana-541	2	5	scholar	scholar	NOUN
cana-541	2	6	,	,	PUNCT
cana-541	2	7	department	department	NOUN
cana-541	2	8	of	of	ADP
cana-541	2	9	mathematics	mathematics	PROPN
cana-541	2	10	,	,	PUNCT
cana-541	2	11	st	st	PROPN
cana-541	2	12	thomas	thomas	PROPN
cana-541	2	13	college	college	PROPN
cana-541	2	14	(	(	PUNCT
cana-541	2	15	autonomous	autonomous	ADJ
cana-541	2	16	)	)	PUNCT
cana-541	2	17	,	,	PUNCT
cana-541	2	18	thrissur	thrissur	NOUN
cana-541	2	19	680001	680001	NUM
cana-541	2	20	,	,	PUNCT
cana-541	2	21	little	little	ADJ
cana-541	2	22	flower	flower	NOUN
cana-541	2	23	college	college	NOUN
cana-541	2	24	,	,	PUNCT
cana-541	2	25	guruvayoor,680103	guruvayoor,680103	NOUN
cana-541	2	26	,	,	PUNCT
cana-541	2	27	university	university	PROPN
cana-541	2	28	of	of	ADP
cana-541	2	29	calicut	calicut	PROPN
cana-541	2	30	,	,	PUNCT
cana-541	2	31	kerala	kerala	PROPN
cana-541	2	32	,	,	PUNCT
cana-541	2	33	india	india	PROPN
cana-541	2	34	;	;	PUNCT
cana-541	2	35	email	email	NOUN
cana-541	3	1	i	i	PROPN
cana-541	3	2	d	d	PROPN
cana-541	3	3	:	:	PUNCT
cana-541	4	1	rosebewishrr@gmail.com	rosebewishrr@gmail.com	X
cana-541	4	2	*	*	PUNCT
cana-541	5	1	*	*	PUNCT
cana-541	5	2	assistant	assistant	ADJ
cana-541	5	3	professor	professor	NOUN
cana-541	5	4	,	,	PUNCT
cana-541	5	5	department	department	NOUN
cana-541	5	6	of	of	ADP
cana-541	5	7	mathematics	mathematics	PROPN
cana-541	5	8	,	,	PUNCT
cana-541	5	9	st	st	PROPN
cana-541	5	10	.	.	PROPN
cana-541	5	11	thomas	thomas	PROPN
cana-541	5	12	college	college	PROPN
cana-541	5	13	(	(	PUNCT
cana-541	5	14	autonomous	autonomous	ADJ
cana-541	5	15	)	)	PUNCT
cana-541	5	16	,	,	PUNCT
cana-541	5	17	thrissur	thrissur	NOUN
cana-541	5	18	680001	680001	NUM
cana-541	5	19	,	,	PUNCT
cana-541	5	20	kerala	kerala	PROPN
cana-541	5	21	,	,	PUNCT
cana-541	5	22	india	india	PROPN
cana-541	5	23	,	,	PUNCT
cana-541	5	24	email	email	NOUN
cana-541	6	1	i	i	PROPN
cana-541	6	2	d	d	PROPN
cana-541	6	3	:	:	PUNCT
cana-541	7	1	drsrjulieandrews@gmail.com	drsrjulieandrews@gmail.com	X
cana-541	7	2	*	*	PUNCT
cana-541	7	3	*	*	PUNCT
cana-541	7	4	*	*	NOUN
cana-541	7	5	research	research	NOUN
cana-541	7	6	scholar	scholar	NOUN
cana-541	7	7	,	,	PUNCT
cana-541	7	8	department	department	NOUN
cana-541	7	9	of	of	ADP
cana-541	7	10	mathematics	mathematics	PROPN
cana-541	7	11	,	,	PUNCT
cana-541	7	12	st	st	PROPN
cana-541	7	13	.	.	PROPN
cana-541	7	14	thomas	thomas	PROPN
cana-541	7	15	college	college	PROPN
cana-541	7	16	(	(	PUNCT
cana-541	7	17	autonomous	autonomous	ADJ
cana-541	7	18	)	)	PUNCT
cana-541	7	19	,	,	PUNCT
cana-541	7	20	thrissur	thrissur	NOUN
cana-541	7	21	680001	680001	NUM
cana-541	7	22	,	,	PUNCT
cana-541	7	23	kerala	kerala	PROPN
cana-541	7	24	,	,	PUNCT
cana-541	7	25	india	india	PROPN
cana-541	7	26	,	,	PUNCT
cana-541	7	27	email	email	NOUN
cana-541	8	1	i	i	PROPN
cana-541	8	2	d	d	PROPN
cana-541	8	3	:	:	PUNCT
cana-541	8	4	naveenvv10@gmail.com	naveenvv10@gmail.com	X
cana-541	8	5	*	*	PUNCT
cana-541	8	6	*	*	PUNCT
cana-541	8	7	*	*	PUNCT
cana-541	8	8	*	*	PUNCT
cana-541	8	9	assistant	assistant	NOUN
cana-541	8	10	professor	professor	NOUN
cana-541	8	11	(	(	PUNCT
cana-541	8	12	sr.g	sr.g	PROPN
cana-541	8	13	)	)	PUNCT
cana-541	8	14	,	,	PUNCT
cana-541	8	15	department	department	NOUN
cana-541	8	16	of	of	ADP
cana-541	8	17	mathematics	mathematics	PROPN
cana-541	8	18	,	,	PUNCT
cana-541	8	19	kpr	kpr	PROPN
cana-541	8	20	institute	institute	PROPN
cana-541	8	21	of	of	ADP
cana-541	8	22	engineering	engineering	NOUN
cana-541	8	23	and	and	CCONJ
cana-541	8	24	technology	technology	NOUN
cana-541	8	25	,	,	PUNCT
cana-541	8	26	coimbatore	coimbatore	PROPN
cana-541	8	27	,	,	PUNCT
cana-541	8	28	india	india	PROPN
cana-541	8	29	,	,	PUNCT
cana-541	8	30	email	email	NOUN
cana-541	8	31	i	i	PROPN
cana-541	8	32	d	d	PROPN
cana-541	8	33	:	:	PUNCT
cana-541	8	34	suriyakumar_08@yahoo.co.in	suriyakumar_08@yahoo.co.in	NOUN
cana-541	8	35	article	article	NOUN
cana-541	8	36	history	history	NOUN
cana-541	8	37	:	:	PUNCT
cana-541	8	38	received	receive	VERB
cana-541	8	39	:	:	PUNCT
cana-541	8	40	02	02	NUM
cana-541	8	41	-	-	PUNCT
cana-541	8	42	02	02	NUM
cana-541	8	43	-	-	PUNCT
cana-541	8	44	2024	2024	NUM
cana-541	8	45	revised	revise	VERB
cana-541	8	46	:	:	PUNCT
cana-541	8	47	19	19	NUM
cana-541	8	48	-	-	PUNCT
cana-541	8	49	04	04	NUM
cana-541	8	50	-	-	PUNCT
cana-541	8	51	2024	2024	NUM
cana-541	8	52	accepted	accept	VERB
cana-541	8	53	:	:	PUNCT
cana-541	8	54	01	01	NUM
cana-541	8	55	-	-	PUNCT
cana-541	8	56	05	05	NUM
cana-541	8	57	-	-	PUNCT
cana-541	8	58	2024	2024	NUM
cana-541	8	59	abstract	abstract	NOUN
cana-541	8	60	:	:	PUNCT
cana-541	8	61	introduction	introduction	NOUN
cana-541	8	62	:	:	PUNCT
cana-541	8	63	the	the	DET
cana-541	8	64	forced	force	VERB
cana-541	8	65	convective	convective	NOUN
cana-541	8	66	,	,	PUNCT
cana-541	8	67	steady	steady	ADJ
cana-541	8	68	,	,	PUNCT
cana-541	8	69	viscous	viscous	ADJ
cana-541	8	70	,	,	PUNCT
cana-541	8	71	nonlinear	nonlinear	ADJ
cana-541	8	72	boundary	boundary	ADJ
cana-541	8	73	layer	layer	NOUN
cana-541	8	74	flow	flow	NOUN
cana-541	8	75	of	of	ADP
cana-541	8	76	a	a	DET
cana-541	8	77	two	two	NUM
cana-541	8	78	-	-	PUNCT
cana-541	8	79	dimensional	dimensional	ADJ
cana-541	8	80	problem	problem	NOUN
cana-541	8	81	over	over	ADP
cana-541	8	82	a	a	DET
cana-541	8	83	flat	flat	ADJ
cana-541	8	84	plate	plate	NOUN
cana-541	8	85	with	with	ADP
cana-541	8	86	heat	heat	NOUN
cana-541	8	87	transfer	transfer	NOUN
cana-541	8	88	nanofluids	nanofluid	NOUN
cana-541	8	89	.	.	PUNCT
cana-541	9	1	the	the	DET
cana-541	9	2	flow	flow	NOUN
cana-541	9	3	is	be	AUX
cana-541	9	4	laminar	laminar	ADJ
cana-541	9	5	.	.	PUNCT
cana-541	10	1	two	two	NUM
cana-541	10	2	different	different	ADJ
cana-541	10	3	types	type	NOUN
cana-541	10	4	of	of	ADP
cana-541	10	5	nanoparticles	nanoparticle	NOUN
cana-541	10	6	,	,	PUNCT
cana-541	10	7	namely	namely	ADV
cana-541	10	8	,	,	PUNCT
cana-541	10	9	titanium	titanium	NOUN
cana-541	10	10	dioxide	dioxide	NOUN
cana-541	10	11	(	(	PUNCT
cana-541	10	12	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	10	13	)	)	PUNCT
cana-541	10	14	and	and	CCONJ
cana-541	10	15	silver	silver	NOUN
cana-541	10	16	(	(	PUNCT
cana-541	10	17	𝐴𝑔	𝐴𝑔	PROPN
cana-541	10	18	)	)	PUNCT
cana-541	10	19	are	be	AUX
cana-541	10	20	used	use	VERB
cana-541	10	21	to	to	PART
cana-541	10	22	prepare	prepare	VERB
cana-541	10	23	nanofluids	nanofluid	NOUN
cana-541	10	24	with	with	ADP
cana-541	10	25	base	base	ADJ
cana-541	10	26	fluid	fluid	NOUN
cana-541	10	27	is	be	AUX
cana-541	10	28	chosen	choose	VERB
cana-541	10	29	as	as	ADP
cana-541	10	30	water	water	NOUN
cana-541	10	31	.	.	PUNCT
cana-541	11	1	nanofluids	nanofluid	NOUN
cana-541	11	2	has	have	VERB
cana-541	11	3	a	a	DET
cana-541	11	4	large	large	ADJ
cana-541	11	5	number	number	NOUN
cana-541	11	6	of	of	ADP
cana-541	11	7	applications	application	NOUN
cana-541	11	8	in	in	ADP
cana-541	11	9	the	the	DET
cana-541	11	10	area	area	NOUN
cana-541	11	11	of	of	ADP
cana-541	11	12	biomedical	biomedical	ADJ
cana-541	11	13	,	,	PUNCT
cana-541	11	14	cooling	cool	VERB
cana-541	11	15	and	and	CCONJ
cana-541	11	16	tribological	tribological	ADJ
cana-541	11	17	applications	application	NOUN
cana-541	11	18	.	.	PUNCT
cana-541	12	1	objectives	objective	NOUN
cana-541	12	2	:	:	PUNCT
cana-541	12	3	to	to	PART
cana-541	12	4	study	study	VERB
cana-541	12	5	about	about	ADP
cana-541	12	6	the	the	DET
cana-541	12	7	effect	effect	NOUN
cana-541	12	8	different	different	ADJ
cana-541	12	9	nanoparticles	nanoparticle	NOUN
cana-541	12	10	and	and	CCONJ
cana-541	12	11	their	their	PRON
cana-541	12	12	volume	volume	NOUN
cana-541	12	13	fraction	fraction	NOUN
cana-541	12	14	in	in	ADP
cana-541	12	15	the	the	DET
cana-541	12	16	flow	flow	NOUN
cana-541	12	17	of	of	ADP
cana-541	12	18	nanofluids	nanofluid	NOUN
cana-541	12	19	along	along	ADP
cana-541	12	20	the	the	DET
cana-541	12	21	boundary	boundary	ADJ
cana-541	12	22	layer	layer	NOUN
cana-541	12	23	over	over	ADP
cana-541	12	24	a	a	DET
cana-541	12	25	flat	flat	ADJ
cana-541	12	26	plate	plate	NOUN
cana-541	12	27	.	.	PUNCT
cana-541	13	1	analyse	analyse	VERB
cana-541	13	2	the	the	DET
cana-541	13	3	changes	change	NOUN
cana-541	13	4	in	in	ADP
cana-541	13	5	the	the	DET
cana-541	13	6	viscosity	viscosity	NOUN
cana-541	13	7	,	,	PUNCT
cana-541	13	8	density	density	NOUN
cana-541	13	9	,	,	PUNCT
cana-541	13	10	specific	specific	ADJ
cana-541	13	11	heat	heat	NOUN
cana-541	13	12	capacity	capacity	NOUN
cana-541	13	13	,	,	PUNCT
cana-541	13	14	thermal	thermal	ADJ
cana-541	13	15	conductivity	conductivity	NOUN
cana-541	13	16	,	,	PUNCT
cana-541	13	17	prandtl	prandtl	NOUN
cana-541	13	18	number	number	NOUN
cana-541	13	19	,	,	PUNCT
cana-541	13	20	skin	skin	NOUN
cana-541	13	21	friction	friction	NOUN
cana-541	13	22	coefficient	coefficient	NOUN
cana-541	13	23	and	and	CCONJ
cana-541	13	24	nusselt	nusselt	NOUN
cana-541	13	25	number	number	NOUN
cana-541	13	26	.	.	PUNCT
cana-541	14	1	methods	method	NOUN
cana-541	14	2	:	:	PUNCT
cana-541	14	3	the	the	DET
cana-541	14	4	flow	flow	NOUN
cana-541	14	5	of	of	ADP
cana-541	14	6	the	the	DET
cana-541	14	7	fluid	fluid	NOUN
cana-541	14	8	that	that	PRON
cana-541	14	9	are	be	AUX
cana-541	14	10	governed	govern	VERB
cana-541	14	11	by	by	ADP
cana-541	14	12	the	the	DET
cana-541	14	13	pdes	pde	NOUN
cana-541	14	14	that	that	PRON
cana-541	14	15	are	be	AUX
cana-541	14	16	nonlinear	nonlinear	ADJ
cana-541	14	17	are	be	AUX
cana-541	14	18	transformed	transform	VERB
cana-541	14	19	into	into	ADP
cana-541	14	20	the	the	DET
cana-541	14	21	odes	ode	NOUN
cana-541	14	22	that	that	PRON
cana-541	14	23	are	be	AUX
cana-541	14	24	nonlinear	nonlinear	ADJ
cana-541	14	25	by	by	ADP
cana-541	14	26	employing	employ	VERB
cana-541	14	27	similarity	similarity	NOUN
cana-541	14	28	transformations	transformation	NOUN
cana-541	14	29	,	,	PUNCT
cana-541	14	30	which	which	PRON
cana-541	14	31	then	then	ADV
cana-541	14	32	solved	solve	VERB
cana-541	14	33	by	by	ADP
cana-541	14	34	the	the	DET
cana-541	14	35	use	use	NOUN
cana-541	14	36	of	of	ADP
cana-541	14	37	matlab	matlab	PROPN
cana-541	14	38	bvp5c	bvp5c	NOUN
cana-541	14	39	solution	solution	NOUN
cana-541	14	40	procedure	procedure	NOUN
cana-541	14	41	.	.	PUNCT
cana-541	15	1	results	result	NOUN
cana-541	15	2	:	:	PUNCT
cana-541	15	3	both	both	PRON
cana-541	15	4	thermal	thermal	ADJ
cana-541	15	5	conductivity	conductivity	NOUN
cana-541	15	6	and	and	CCONJ
cana-541	15	7	heat	heat	NOUN
cana-541	15	8	transfer	transfer	NOUN
cana-541	15	9	coefficient	coefficient	NOUN
cana-541	15	10	increases	increase	VERB
cana-541	15	11	with	with	ADP
cana-541	15	12	the	the	DET
cana-541	15	13	increase	increase	NOUN
cana-541	15	14	in	in	ADP
cana-541	15	15	the	the	DET
cana-541	15	16	volume	volume	NOUN
cana-541	15	17	fraction	fraction	NOUN
cana-541	15	18	of	of	ADP
cana-541	15	19	the	the	DET
cana-541	15	20	corresponding	correspond	VERB
cana-541	15	21	nanoparticle	nanoparticle	NOUN
cana-541	15	22	.	.	PUNCT
cana-541	16	1	also	also	ADV
cana-541	16	2	,	,	PUNCT
cana-541	16	3	silver	silver	ADJ
cana-541	16	4	-	-	PUNCT
cana-541	16	5	water	water	NOUN
cana-541	16	6	nanofluid	nanofluid	NOUN
cana-541	16	7	has	have	VERB
cana-541	16	8	the	the	DET
cana-541	16	9	high	high	ADJ
cana-541	16	10	thermal	thermal	ADJ
cana-541	16	11	conductivity	conductivity	NOUN
cana-541	16	12	and	and	CCONJ
cana-541	16	13	heat	heat	NOUN
cana-541	16	14	transfer	transfer	NOUN
cana-541	16	15	rate	rate	NOUN
cana-541	16	16	when	when	SCONJ
cana-541	16	17	compared	compare	VERB
cana-541	16	18	with	with	ADP
cana-541	16	19	titanium	titanium	NOUN
cana-541	16	20	dioxide	dioxide	NOUN
cana-541	16	21	-	-	PUNCT
cana-541	16	22	water	water	NOUN
cana-541	16	23	nanofluid	nanofluid	NOUN
cana-541	16	24	.	.	PUNCT
cana-541	17	1	conclusions	conclusion	NOUN
cana-541	17	2	:	:	PUNCT
cana-541	17	3	silver	silver	ADJ
cana-541	17	4	water	water	NOUN
cana-541	17	5	nanofluid	nanofluid	NOUN
cana-541	17	6	surpasses	surpass	VERB
cana-541	17	7	titanium	titanium	NOUN
cana-541	17	8	dioxide	dioxide	NOUN
cana-541	17	9	water	water	NOUN
cana-541	17	10	nanofluid	nanofluid	PROPN
cana-541	17	11	in	in	ADP
cana-541	17	12	terms	term	NOUN
cana-541	17	13	of	of	ADP
cana-541	17	14	thermal	thermal	ADJ
cana-541	17	15	conductivity	conductivity	NOUN
cana-541	17	16	and	and	CCONJ
cana-541	17	17	heat	heat	NOUN
cana-541	17	18	transfer	transfer	NOUN
cana-541	17	19	rate	rate	NOUN
cana-541	17	20	.	.	PUNCT
cana-541	18	1	moreover	moreover	ADV
cana-541	18	2	,	,	PUNCT
cana-541	18	3	the	the	DET
cana-541	18	4	physical	physical	ADJ
cana-541	18	5	attributes	attribute	NOUN
cana-541	18	6	like	like	ADP
cana-541	18	7	viscosity	viscosity	NOUN
cana-541	18	8	,	,	PUNCT
cana-541	18	9	density	density	NOUN
cana-541	18	10	,	,	PUNCT
cana-541	18	11	and	and	CCONJ
cana-541	18	12	thermal	thermal	ADJ
cana-541	18	13	conductivity	conductivity	NOUN
cana-541	18	14	of	of	ADP
cana-541	18	15	nanofluids	nanofluid	NOUN
cana-541	18	16	escalate	escalate	VERB
cana-541	18	17	proportionally	proportionally	ADV
cana-541	18	18	with	with	ADP
cana-541	18	19	the	the	DET
cana-541	18	20	volume	volume	NOUN
cana-541	18	21	fraction	fraction	NOUN
cana-541	18	22	of	of	ADP
cana-541	18	23	nanoparticles	nanoparticle	NOUN
cana-541	18	24	.	.	PUNCT
cana-541	19	1	conversely	conversely	ADV
cana-541	19	2	,	,	PUNCT
cana-541	19	3	specific	specific	ADJ
cana-541	19	4	heat	heat	NOUN
cana-541	19	5	capacity	capacity	NOUN
cana-541	19	6	and	and	CCONJ
cana-541	19	7	prandtl	prandtl	NOUN
cana-541	19	8	number	number	NOUN
cana-541	19	9	exhibit	exhibit	VERB
cana-541	19	10	an	an	DET
cana-541	19	11	inverse	inverse	NOUN
cana-541	19	12	relationship	relationship	NOUN
cana-541	19	13	with	with	ADP
cana-541	19	14	the	the	DET
cana-541	19	15	volume	volume	NOUN
cana-541	19	16	fraction	fraction	NOUN
cana-541	19	17	of	of	ADP
cana-541	19	18	nanoparticles	nanoparticle	NOUN
cana-541	19	19	,	,	PUNCT
cana-541	19	20	decreasing	decrease	VERB
cana-541	19	21	as	as	SCONJ
cana-541	19	22	it	it	PRON
cana-541	19	23	increases	increase	VERB
cana-541	19	24	.	.	PUNCT
cana-541	20	1	keywords	keyword	NOUN
cana-541	20	2	:	:	PUNCT
cana-541	20	3	nanofluids	nanofluid	NOUN
cana-541	20	4	;	;	PUNCT
cana-541	20	5	flat	flat	ADJ
cana-541	20	6	plate	plate	NOUN
cana-541	20	7	;	;	PUNCT
cana-541	20	8	thermal	thermal	ADJ
cana-541	20	9	conductivity	conductivity	NOUN
cana-541	20	10	;	;	PUNCT
cana-541	20	11	skin	skin	NOUN
cana-541	20	12	friction	friction	NOUN
cana-541	20	13	coefficient	coefficient	NOUN
cana-541	20	14	;	;	PUNCT
cana-541	20	15	nusselt	nusselt	NOUN
cana-541	20	16	number	number	NOUN
cana-541	20	17	.	.	PUNCT
cana-541	21	1	nomenclature	nomenclature	NOUN
cana-541	21	2	𝜙	𝜙	PRON
cana-541	21	3	volume	volume	NOUN
cana-541	21	4	fraction	fraction	NOUN
cana-541	21	5	of	of	ADP
cana-541	21	6	nanoparticle	nanoparticle	NOUN
cana-541	21	7	𝑘𝑓	𝑘𝑓	ADP
cana-541	21	8	thermal	thermal	ADJ
cana-541	21	9	conductivity	conductivity	NOUN
cana-541	21	10	of	of	ADP
cana-541	21	11	base	base	NOUN
cana-541	21	12	liquid	liquid	NOUN
cana-541	21	13	(	(	PUNCT
cana-541	21	14	𝑅𝑒𝑥)𝑛𝑓	𝑅𝑒𝑥)𝑛𝑓	NUM
cana-541	21	15	local	local	ADJ
cana-541	21	16	reynolds	reynold	NOUN
cana-541	21	17	number	number	NOUN
cana-541	21	18	(	(	PUNCT
cana-541	21	19	𝐶𝑝	𝐶𝑝	PROPN
cana-541	21	20	)	)	PUNCT
cana-541	21	21	𝑛𝑓	𝑛𝑓	PRON
cana-541	21	22	specific	specific	ADJ
cana-541	21	23	heat	heat	NOUN
cana-541	21	24	capacity	capacity	NOUN
cana-541	21	25	of	of	ADP
cana-541	21	26	nanofluid	nanofluid	ADJ
cana-541	21	27	communications	communication	NOUN
cana-541	21	28	on	on	ADP
cana-541	21	29	applied	apply	VERB
cana-541	21	30	nonlinear	nonlinear	ADJ
cana-541	21	31	analysis	analysis	NOUN
cana-541	21	32	issn	issn	NOUN
cana-541	21	33	:	:	PUNCT
cana-541	21	34	1074	1074	NUM
cana-541	21	35	-	-	PUNCT
cana-541	21	36	133x	133x	NUM
cana-541	21	37	vol	vol	NOUN
cana-541	21	38	31	31	NUM
cana-541	21	39	no	no	NOUN
cana-541	21	40	.	.	NOUN
cana-541	21	41	2	2	NUM
cana-541	21	42	(	(	PUNCT
cana-541	21	43	2024	2024	NUM
cana-541	21	44	)	)	PUNCT
cana-541	22	1	260	260	NUM
cana-541	22	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	22	3	𝜌𝑛𝑓	𝜌𝑛𝑓	NOUN
cana-541	22	4	density	density	NOUN
cana-541	22	5	of	of	ADP
cana-541	22	6	nanofluid	nanofluid	ADJ
cana-541	22	7	𝑃𝑟	𝑃𝑟	PROPN
cana-541	22	8	prandtl	prandtl	NOUN
cana-541	22	9	number	number	NOUN
cana-541	22	10	𝜇𝑓	𝜇𝑓	PROPN
cana-541	22	11	dynamic	dynamic	ADJ
cana-541	22	12	viscosity	viscosity	NOUN
cana-541	22	13	of	of	ADP
cana-541	22	14	base	base	NOUN
cana-541	22	15	liquid	liquid	ADJ
cana-541	22	16	𝐶𝑓	𝐶𝑓	PROPN
cana-541	22	17	skin	skin	NOUN
cana-541	22	18	friction	friction	NOUN
cana-541	22	19	coefficient	coefficient	NOUN
cana-541	22	20	𝜇𝑛𝑓	𝜇𝑛𝑓	VERB
cana-541	22	21	dynamic	dynamic	ADJ
cana-541	22	22	viscosity	viscosity	NOUN
cana-541	22	23	of	of	ADP
cana-541	22	24	nanofluid	nanofluid	ADJ
cana-541	23	1	𝑁𝑢	𝑁𝑢	ADJ
cana-541	23	2	nusselt	nusselt	NOUN
cana-541	23	3	number	number	NOUN
cana-541	23	4	(	(	PUNCT
cana-541	23	5	𝐶𝑝	𝐶𝑝	PROPN
cana-541	23	6	)	)	PUNCT
cana-541	23	7	𝑓	𝑓	DET
cana-541	23	8	specific	specific	ADJ
cana-541	23	9	heat	heat	NOUN
cana-541	23	10	capacity	capacity	NOUN
cana-541	23	11	of	of	ADP
cana-541	23	12	base	base	NOUN
cana-541	23	13	liquid	liquid	NOUN
cana-541	23	14	𝜌𝑓	𝜌𝑓	ADP
cana-541	23	15	density	density	NOUN
cana-541	23	16	of	of	ADP
cana-541	23	17	base	base	NOUN
cana-541	23	18	liquid	liquid	NOUN
cana-541	23	19	(	(	PUNCT
cana-541	23	20	𝐶𝑝	𝐶𝑝	PROPN
cana-541	23	21	)	)	PUNCT
cana-541	23	22	𝑠	𝑠	PRON
cana-541	23	23	specific	specific	ADJ
cana-541	23	24	heat	heat	NOUN
cana-541	23	25	capacity	capacity	NOUN
cana-541	23	26	of	of	ADP
cana-541	23	27	nanoparticle	nanoparticle	NOUN
cana-541	23	28	𝜐𝑓	𝜐𝑓	VERB
cana-541	23	29	kinematic	kinematic	ADJ
cana-541	23	30	viscosity	viscosity	NOUN
cana-541	23	31	of	of	ADP
cana-541	23	32	base	base	NOUN
cana-541	23	33	liquid	liquid	ADJ
cana-541	23	34	𝑘𝑠	𝑘𝑠	NOUN
cana-541	23	35	thermal	thermal	ADJ
cana-541	23	36	conductivity	conductivity	NOUN
cana-541	23	37	of	of	ADP
cana-541	23	38	nanoparticle	nanoparticle	NOUN
cana-541	23	39	𝜌𝑠	𝜌𝑠	NOUN
cana-541	23	40	density	density	NOUN
cana-541	23	41	of	of	ADP
cana-541	23	42	nanoparticle	nanoparticle	NOUN
cana-541	23	43	𝑘𝑛𝑓	𝑘𝑛𝑓	PROPN
cana-541	23	44	thermal	thermal	ADJ
cana-541	23	45	conductivity	conductivity	NOUN
cana-541	23	46	of	of	ADP
cana-541	23	47	nanofluid	nanofluid	ADJ
cana-541	23	48	𝛼𝑓	𝛼𝑓	ADJ
cana-541	23	49	thermal	thermal	ADJ
cana-541	23	50	diffusivity	diffusivity	NOUN
cana-541	23	51	of	of	ADP
cana-541	23	52	base	base	NOUN
cana-541	23	53	liquid	liquid	ADJ
cana-541	23	54	1	1	NUM
cana-541	23	55	.	.	PUNCT
cana-541	24	1	introduction	introduction	NOUN
cana-541	24	2	in	in	ADP
cana-541	24	3	today	today	NOUN
cana-541	24	4	’s	’s	PART
cana-541	24	5	modern	modern	ADJ
cana-541	24	6	world	world	NOUN
cana-541	24	7	,	,	PUNCT
cana-541	24	8	ultra	ultra	ADJ
cana-541	24	9	-	-	ADJ
cana-541	24	10	high	high	ADJ
cana-541	24	11	-	-	PUNCT
cana-541	24	12	performance	performance	NOUN
cana-541	24	13	cooling	cooling	NOUN
cana-541	24	14	is	be	AUX
cana-541	24	15	one	one	NUM
cana-541	24	16	of	of	ADP
cana-541	24	17	the	the	DET
cana-541	24	18	most	most	ADV
cana-541	24	19	vital	vital	ADJ
cana-541	24	20	needs	need	NOUN
cana-541	24	21	of	of	ADP
cana-541	24	22	many	many	ADJ
cana-541	24	23	industrial	industrial	ADJ
cana-541	24	24	technologies	technology	NOUN
cana-541	24	25	.	.	PUNCT
cana-541	25	1	indeed	indeed	ADV
cana-541	25	2	,	,	PUNCT
cana-541	25	3	the	the	DET
cana-541	25	4	concept	concept	NOUN
cana-541	25	5	of	of	ADP
cana-541	25	6	dispersing	disperse	VERB
cana-541	25	7	solid	solid	ADJ
cana-541	25	8	particles	particle	NOUN
cana-541	25	9	in	in	ADP
cana-541	25	10	liquids	liquid	NOUN
cana-541	25	11	to	to	PART
cana-541	25	12	enhance	enhance	VERB
cana-541	25	13	their	their	PRON
cana-541	25	14	thermal	thermal	ADJ
cana-541	25	15	conductivity	conductivity	NOUN
cana-541	25	16	has	have	AUX
cana-541	25	17	been	be	AUX
cana-541	25	18	known	know	VERB
cana-541	25	19	for	for	ADP
cana-541	25	20	a	a	DET
cana-541	25	21	while	while	NOUN
cana-541	25	22	.	.	PUNCT
cana-541	26	1	this	this	PRON
cana-541	26	2	is	be	AUX
cana-541	26	3	because	because	SCONJ
cana-541	26	4	,	,	PUNCT
cana-541	26	5	solid	solid	ADJ
cana-541	26	6	particles	particle	NOUN
cana-541	26	7	generally	generally	ADV
cana-541	26	8	have	have	VERB
cana-541	26	9	higher	high	ADJ
cana-541	26	10	thermal	thermal	ADJ
cana-541	26	11	conductivities	conductivity	NOUN
cana-541	26	12	than	than	ADP
cana-541	26	13	liquids	liquid	NOUN
cana-541	26	14	.	.	PUNCT
cana-541	27	1	one	one	NUM
cana-541	27	2	of	of	ADP
cana-541	27	3	the	the	DET
cana-541	27	4	significant	significant	ADJ
cana-541	27	5	challenges	challenge	NOUN
cana-541	27	6	with	with	ADP
cana-541	27	7	dispersing	disperse	VERB
cana-541	27	8	solid	solid	ADJ
cana-541	27	9	particles	particle	NOUN
cana-541	27	10	in	in	ADP
cana-541	27	11	liquids	liquid	NOUN
cana-541	27	12	to	to	PART
cana-541	27	13	enhance	enhance	VERB
cana-541	27	14	thermal	thermal	ADJ
cana-541	27	15	conductivity	conductivity	NOUN
cana-541	27	16	is	be	AUX
cana-541	27	17	sedimentation	sedimentation	NOUN
cana-541	27	18	.	.	PUNCT
cana-541	28	1	in	in	ADP
cana-541	28	2	order	order	NOUN
cana-541	28	3	to	to	PART
cana-541	28	4	overcome	overcome	VERB
cana-541	28	5	this	this	DET
cana-541	28	6	limitation	limitation	NOUN
cana-541	28	7	,	,	PUNCT
cana-541	28	8	choi	choi	NOUN
cana-541	28	9	and	and	CCONJ
cana-541	28	10	eastman	eastman	NOUN
cana-541	28	11	introduced	introduce	VERB
cana-541	28	12	the	the	DET
cana-541	28	13	nano	nano	NOUN
cana-541	28	14	-	-	PUNCT
cana-541	28	15	suspensions	suspension	NOUN
cana-541	28	16	[	[	X
cana-541	28	17	1	1	NUM
cana-541	28	18	]	]	PUNCT
cana-541	28	19	.	.	PUNCT
cana-541	29	1	nanofluids	nanofluid	NOUN
cana-541	29	2	were	be	AUX
cana-541	29	3	prepared	prepare	VERB
cana-541	29	4	by	by	ADP
cana-541	29	5	the	the	DET
cana-541	29	6	stable	stable	ADJ
cana-541	29	7	suspension	suspension	NOUN
cana-541	29	8	of	of	ADP
cana-541	29	9	nanometre	nanometre	NOUN
cana-541	29	10	sized	size	VERB
cana-541	29	11	particles	particle	NOUN
cana-541	29	12	(	(	PUNCT
cana-541	29	13	usually	usually	ADV
cana-541	29	14	size	size	VERB
cana-541	29	15	less	less	ADJ
cana-541	29	16	than	than	ADP
cana-541	29	17	100	100	NUM
cana-541	29	18	nm	nm	NOUN
cana-541	29	19	)	)	PUNCT
cana-541	29	20	in	in	ADP
cana-541	29	21	a	a	DET
cana-541	29	22	base	base	NOUN
cana-541	29	23	fluid	fluid	NOUN
cana-541	29	24	.	.	PUNCT
cana-541	30	1	this	this	DET
cana-541	30	2	type	type	NOUN
cana-541	30	3	of	of	ADP
cana-541	30	4	fluid	fluid	NOUN
cana-541	30	5	has	have	AUX
cana-541	30	6	enhancive	enhancive	VERB
cana-541	30	7	thermal	thermal	ADJ
cana-541	30	8	properties	property	NOUN
cana-541	30	9	than	than	ADP
cana-541	30	10	the	the	DET
cana-541	30	11	conventional	conventional	ADJ
cana-541	30	12	fluids	fluid	NOUN
cana-541	30	13	.	.	PUNCT
cana-541	31	1	chein	chein	ADJ
cana-541	31	2	r	r	PROPN
cana-541	31	3	and	and	CCONJ
cana-541	31	4	huang	huang	PROPN
cana-541	31	5	g	g	PROPN
cana-541	31	6	,	,	PUNCT
cana-541	31	7	presented	present	VERB
cana-541	31	8	the	the	DET
cana-541	31	9	thermoelectric	thermoelectric	ADJ
cana-541	31	10	cooler	cool	ADJ
cana-541	31	11	applications	application	NOUN
cana-541	31	12	in	in	ADP
cana-541	31	13	electronic	electronic	ADJ
cana-541	31	14	cooling	cooling	NOUN
cana-541	31	15	[	[	X
cana-541	31	16	2	2	NUM
cana-541	31	17	]	]	PUNCT
cana-541	31	18	.	.	PUNCT
cana-541	32	1	xuan	xuan	PROPN
cana-541	32	2	and	and	CCONJ
cana-541	32	3	roetzel	roetzel	ADJ
cana-541	32	4	[	[	X
cana-541	32	5	3	3	NUM
cana-541	32	6	]	]	PUNCT
cana-541	32	7	and	and	CCONJ
cana-541	32	8	xuan	xuan	PROPN
cana-541	32	9	and	and	CCONJ
cana-541	32	10	li	li	PROPN
cana-541	33	1	[	[	X
cana-541	33	2	4	4	X
cana-541	33	3	]	]	PUNCT
cana-541	33	4	experimentally	experimentally	ADV
cana-541	33	5	show	show	VERB
cana-541	33	6	that	that	SCONJ
cana-541	33	7	,	,	PUNCT
cana-541	33	8	adding	add	VERB
cana-541	33	9	nanoparticles	nanoparticle	NOUN
cana-541	33	10	to	to	ADP
cana-541	33	11	a	a	DET
cana-541	33	12	fluid	fluid	NOUN
cana-541	33	13	,	,	PUNCT
cana-541	33	14	like	like	ADP
cana-541	33	15	water	water	NOUN
cana-541	33	16	and	and	CCONJ
cana-541	33	17	oil	oil	NOUN
cana-541	33	18	,	,	PUNCT
cana-541	33	19	will	will	AUX
cana-541	33	20	augment	augment	VERB
cana-541	33	21	the	the	DET
cana-541	33	22	thermal	thermal	ADJ
cana-541	33	23	conductivity	conductivity	NOUN
cana-541	33	24	of	of	ADP
cana-541	33	25	base	base	NOUN
cana-541	33	26	liquid	liquid	NOUN
cana-541	33	27	.	.	PUNCT
cana-541	34	1	in	in	ADP
cana-541	34	2	this	this	DET
cana-541	34	3	work	work	NOUN
cana-541	34	4	,	,	PUNCT
cana-541	34	5	forced	force	VERB
cana-541	34	6	convective	convective	NOUN
cana-541	34	7	,	,	PUNCT
cana-541	34	8	viscous	viscous	ADJ
cana-541	34	9	,	,	PUNCT
cana-541	34	10	nonsequential	nonsequential	ADJ
cana-541	34	11	boundary	boundary	ADJ
cana-541	34	12	layer	layer	NOUN
cana-541	34	13	flow	flow	NOUN
cana-541	34	14	of	of	ADP
cana-541	34	15	a	a	DET
cana-541	34	16	twodimensional	twodimensional	ADJ
cana-541	34	17	problem	problem	NOUN
cana-541	34	18	over	over	ADP
cana-541	34	19	a	a	DET
cana-541	34	20	flat	flat	ADJ
cana-541	34	21	surface	surface	NOUN
cana-541	34	22	with	with	ADP
cana-541	34	23	heat	heat	NOUN
cana-541	34	24	transfer	transfer	NOUN
cana-541	34	25	nanofluids	nanofluid	NOUN
cana-541	34	26	is	be	AUX
cana-541	34	27	explored	explore	VERB
cana-541	34	28	.	.	PUNCT
cana-541	35	1	titanium	titanium	NOUN
cana-541	35	2	dioxide	dioxide	NOUN
cana-541	35	3	(	(	PUNCT
cana-541	35	4	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	35	5	)	)	PUNCT
cana-541	35	6	and	and	CCONJ
cana-541	35	7	silver	silver	NOUN
cana-541	35	8	(	(	PUNCT
cana-541	35	9	𝐴𝑔	𝐴𝑔	PROPN
cana-541	35	10	)	)	PUNCT
cana-541	35	11	are	be	AUX
cana-541	35	12	the	the	DET
cana-541	35	13	nanoparticles	nanoparticle	NOUN
cana-541	35	14	used	use	VERB
cana-541	35	15	to	to	PART
cana-541	35	16	prepare	prepare	VERB
cana-541	35	17	nanofluids	nanofluid	NOUN
cana-541	35	18	and	and	CCONJ
cana-541	35	19	water	water	NOUN
cana-541	35	20	is	be	AUX
cana-541	35	21	considered	consider	VERB
cana-541	35	22	as	as	ADP
cana-541	35	23	the	the	DET
cana-541	35	24	base	base	NOUN
cana-541	35	25	fluid	fluid	NOUN
cana-541	35	26	.	.	PUNCT
cana-541	36	1	the	the	DET
cana-541	36	2	𝑃𝑟	𝑃𝑟	PROPN
cana-541	36	3	value	value	NOUN
cana-541	36	4	of	of	ADP
cana-541	36	5	water	water	NOUN
cana-541	36	6	is	be	AUX
cana-541	36	7	taken	take	VERB
cana-541	36	8	as	as	ADP
cana-541	36	9	7.02	7.02	NUM
cana-541	36	10	with	with	ADP
cana-541	36	11	base	base	NOUN
cana-541	36	12	temperature	temperature	NOUN
cana-541	36	13	293𝐾.	293𝐾.	PROPN
cana-541	37	1	the	the	DET
cana-541	37	2	flow	flow	NOUN
cana-541	37	3	is	be	AUX
cana-541	37	4	modeled	model	VERB
cana-541	37	5	using	use	VERB
cana-541	37	6	pdes	pde	NOUN
cana-541	37	7	which	which	PRON
cana-541	37	8	are	be	AUX
cana-541	37	9	nonlinear	nonlinear	ADJ
cana-541	37	10	.	.	PUNCT
cana-541	38	1	by	by	ADP
cana-541	38	2	employing	employ	VERB
cana-541	38	3	the	the	DET
cana-541	38	4	similarity	similarity	NOUN
cana-541	38	5	transformations	transformation	NOUN
cana-541	38	6	,	,	PUNCT
cana-541	38	7	these	these	DET
cana-541	38	8	heading	head	VERB
cana-541	38	9	equations	equation	NOUN
cana-541	38	10	are	be	AUX
cana-541	38	11	converted	convert	VERB
cana-541	38	12	into	into	ADP
cana-541	38	13	odes	ode	NOUN
cana-541	38	14	and	and	CCONJ
cana-541	38	15	are	be	AUX
cana-541	38	16	then	then	ADV
cana-541	38	17	solved	solve	VERB
cana-541	38	18	using	use	VERB
cana-541	38	19	the	the	DET
cana-541	38	20	matlab	matlab	NOUN
cana-541	39	1	bvp5c	bvp5c	NOUN
cana-541	39	2	solution	solution	NOUN
cana-541	39	3	procedure	procedure	NOUN
cana-541	39	4	.	.	PUNCT
cana-541	40	1	2	2	X
cana-541	40	2	.	.	X
cana-541	40	3	objectives	objective	NOUN
cana-541	40	4	in	in	ADP
cana-541	40	5	this	this	DET
cana-541	40	6	work	work	NOUN
cana-541	40	7	,	,	PUNCT
cana-541	40	8	forced	force	VERB
cana-541	40	9	convective	convective	NOUN
cana-541	40	10	,	,	PUNCT
cana-541	40	11	viscous	viscous	ADJ
cana-541	40	12	,	,	PUNCT
cana-541	40	13	nonsequential	nonsequential	ADJ
cana-541	40	14	boundary	boundary	ADJ
cana-541	40	15	layer	layer	NOUN
cana-541	40	16	flow	flow	NOUN
cana-541	40	17	of	of	ADP
cana-541	40	18	a	a	DET
cana-541	40	19	twodimensional	twodimensional	ADJ
cana-541	40	20	problem	problem	NOUN
cana-541	40	21	over	over	ADP
cana-541	40	22	a	a	DET
cana-541	40	23	flat	flat	ADJ
cana-541	40	24	surface	surface	NOUN
cana-541	40	25	with	with	ADP
cana-541	40	26	heat	heat	NOUN
cana-541	40	27	transfer	transfer	NOUN
cana-541	40	28	nanofluids	nanofluid	NOUN
cana-541	40	29	is	be	AUX
cana-541	40	30	explored	explore	VERB
cana-541	40	31	.	.	PUNCT
cana-541	41	1	titanium	titanium	NOUN
cana-541	41	2	dioxide	dioxide	NOUN
cana-541	41	3	(	(	PUNCT
cana-541	41	4	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	41	5	)	)	PUNCT
cana-541	41	6	and	and	CCONJ
cana-541	41	7	silver	silver	NOUN
cana-541	41	8	(	(	PUNCT
cana-541	41	9	𝐴𝑔	𝐴𝑔	PROPN
cana-541	41	10	)	)	PUNCT
cana-541	41	11	are	be	AUX
cana-541	41	12	the	the	DET
cana-541	41	13	nanoparticles	nanoparticle	NOUN
cana-541	41	14	used	use	VERB
cana-541	41	15	to	to	PART
cana-541	41	16	prepare	prepare	VERB
cana-541	41	17	nanofluids	nanofluid	NOUN
cana-541	41	18	and	and	CCONJ
cana-541	41	19	water	water	NOUN
cana-541	41	20	is	be	AUX
cana-541	41	21	considered	consider	VERB
cana-541	41	22	as	as	ADP
cana-541	41	23	the	the	DET
cana-541	41	24	base	base	NOUN
cana-541	41	25	fluid	fluid	NOUN
cana-541	41	26	.	.	PUNCT
cana-541	42	1	to	to	PART
cana-541	42	2	investigate	investigate	VERB
cana-541	42	3	the	the	DET
cana-541	42	4	effect	effect	NOUN
cana-541	42	5	different	different	ADJ
cana-541	42	6	nanoparticles	nanoparticle	NOUN
cana-541	42	7	and	and	CCONJ
cana-541	42	8	their	their	PRON
cana-541	42	9	volume	volume	NOUN
cana-541	42	10	fraction	fraction	NOUN
cana-541	42	11	in	in	ADP
cana-541	42	12	the	the	DET
cana-541	42	13	flow	flow	NOUN
cana-541	42	14	of	of	ADP
cana-541	42	15	nanofluids	nanofluid	NOUN
cana-541	42	16	along	along	ADP
cana-541	42	17	the	the	DET
cana-541	42	18	boundary	boundary	ADJ
cana-541	42	19	layer	layer	NOUN
cana-541	42	20	over	over	ADP
cana-541	42	21	a	a	DET
cana-541	42	22	flat	flat	ADJ
cana-541	42	23	plate	plate	NOUN
cana-541	42	24	.	.	PUNCT
cana-541	43	1	also	also	ADV
cana-541	43	2	,	,	PUNCT
cana-541	43	3	analyse	analyse	VERB
cana-541	43	4	the	the	DET
cana-541	43	5	changes	change	NOUN
cana-541	43	6	in	in	ADP
cana-541	43	7	the	the	DET
cana-541	43	8	viscosity	viscosity	NOUN
cana-541	43	9	,	,	PUNCT
cana-541	43	10	density	density	NOUN
cana-541	43	11	,	,	PUNCT
cana-541	43	12	specific	specific	ADJ
cana-541	43	13	heat	heat	NOUN
cana-541	43	14	capacity	capacity	NOUN
cana-541	43	15	,	,	PUNCT
cana-541	43	16	thermal	thermal	ADJ
cana-541	43	17	conductivity	conductivity	NOUN
cana-541	43	18	,	,	PUNCT
cana-541	43	19	prandtl	prandtl	NOUN
cana-541	43	20	number	number	NOUN
cana-541	43	21	,	,	PUNCT
cana-541	43	22	skin	skin	NOUN
cana-541	43	23	friction	friction	NOUN
cana-541	43	24	coefficient	coefficient	NOUN
cana-541	43	25	and	and	CCONJ
cana-541	43	26	nusselt	nusselt	NOUN
cana-541	43	27	number	number	NOUN
cana-541	43	28	.	.	PUNCT
cana-541	44	1	3	3	X
cana-541	44	2	.	.	X
cana-541	44	3	methods	method	NOUN
cana-541	44	4	the	the	DET
cana-541	44	5	infinite	infinite	ADJ
cana-541	44	6	flat	flat	ADJ
cana-541	44	7	plate	plate	NOUN
cana-541	44	8	oriented	orient	VERB
cana-541	44	9	parallel	parallel	NOUN
cana-541	44	10	to	to	ADP
cana-541	44	11	the	the	DET
cana-541	44	12	uniform	uniform	ADJ
cana-541	44	13	velocity	velocity	NOUN
cana-541	44	14	𝑈∞	𝑈∞	PROPN
cana-541	44	15	of	of	ADP
cana-541	44	16	the	the	DET
cana-541	44	17	liquid	liquid	ADJ
cana-541	44	18	flow	flow	NOUN
cana-541	44	19	.	.	PUNCT
cana-541	45	1	the	the	DET
cana-541	45	2	temperature	temperature	NOUN
cana-541	45	3	and	and	CCONJ
cana-541	45	4	velocity	velocity	NOUN
cana-541	45	5	which	which	PRON
cana-541	45	6	are	be	AUX
cana-541	45	7	away	away	ADV
cana-541	45	8	from	from	ADP
cana-541	45	9	the	the	DET
cana-541	45	10	plate	plate	NOUN
cana-541	45	11	are	be	AUX
cana-541	45	12	represented	represent	VERB
cana-541	45	13	as	as	ADP
cana-541	45	14	𝑇∞	𝑇∞	PROPN
cana-541	45	15	and	and	CCONJ
cana-541	45	16	𝑈∞	𝑈∞	PROPN
cana-541	45	17	,	,	PUNCT
cana-541	45	18	communications	communication	NOUN
cana-541	45	19	on	on	ADP
cana-541	45	20	applied	apply	VERB
cana-541	45	21	nonlinear	nonlinear	ADJ
cana-541	45	22	analysis	analysis	NOUN
cana-541	45	23	issn	issn	NOUN
cana-541	45	24	:	:	PUNCT
cana-541	45	25	1074	1074	NUM
cana-541	45	26	-	-	PUNCT
cana-541	45	27	133x	133x	NUM
cana-541	45	28	vol	vol	NOUN
cana-541	45	29	31	31	NUM
cana-541	45	30	no	no	NOUN
cana-541	45	31	.	.	NOUN
cana-541	45	32	2	2	NUM
cana-541	45	33	(	(	PUNCT
cana-541	45	34	2024	2024	NUM
cana-541	45	35	)	)	PUNCT
cana-541	45	36	261	261	NUM
cana-541	45	37	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	45	38	respectively	respectively	ADV
cana-541	45	39	.	.	PUNCT
cana-541	46	1	consider	consider	VERB
cana-541	46	2	the	the	DET
cana-541	46	3	origin	origin	NOUN
cana-541	46	4	of	of	ADP
cana-541	46	5	the	the	DET
cana-541	46	6	coordinates	coordinate	NOUN
cana-541	46	7	be	be	VERB
cana-541	46	8	at	at	ADP
cana-541	46	9	the	the	DET
cana-541	46	10	fore	fore	NOUN
cana-541	46	11	edge	edge	NOUN
cana-541	46	12	of	of	ADP
cana-541	46	13	the	the	DET
cana-541	46	14	plate	plate	NOUN
cana-541	46	15	,	,	PUNCT
cana-541	46	16	the	the	DET
cana-541	46	17	𝑥and	𝑥and	NOUN
cana-541	46	18	𝑦axes	𝑦axe	NOUN
cana-541	46	19	are	be	AUX
cana-541	46	20	taken	take	VERB
cana-541	46	21	aligned	align	VERB
cana-541	46	22	with	with	ADP
cana-541	46	23	the	the	DET
cana-541	46	24	uniform	uniform	ADJ
cana-541	46	25	flow	flow	NOUN
cana-541	46	26	and	and	CCONJ
cana-541	46	27	perpendicular	perpendicular	NOUN
cana-541	46	28	to	to	ADP
cana-541	46	29	the	the	DET
cana-541	46	30	plate	plate	NOUN
cana-541	46	31	respectively	respectively	ADV
cana-541	46	32	.	.	PUNCT
cana-541	47	1	a	a	DET
cana-541	47	2	pair	pair	NOUN
cana-541	47	3	of	of	ADP
cana-541	47	4	nanofluids	nanofluid	NOUN
cana-541	47	5	,	,	PUNCT
cana-541	47	6	namely	namely	ADV
cana-541	47	7	titana	titana	ADP
cana-541	47	8	-	-	PUNCT
cana-541	47	9	water	water	NOUN
cana-541	47	10	nanofluid	nanofluid	NOUN
cana-541	47	11	and	and	CCONJ
cana-541	47	12	silver	silver	NOUN
cana-541	47	13	-	-	PUNCT
cana-541	47	14	water	water	NOUN
cana-541	47	15	nanofluid	nanofluid	NOUN
cana-541	47	16	,	,	PUNCT
cana-541	47	17	are	be	AUX
cana-541	47	18	considered	consider	VERB
cana-541	47	19	in	in	ADP
cana-541	47	20	this	this	DET
cana-541	47	21	study	study	NOUN
cana-541	47	22	.	.	PUNCT
cana-541	48	1	both	both	CCONJ
cana-541	48	2	the	the	DET
cana-541	48	3	nanoparticles	nanoparticle	NOUN
cana-541	48	4	are	be	AUX
cana-541	48	5	off	off	ADP
cana-541	48	6	the	the	DET
cana-541	48	7	spherical	spherical	ADJ
cana-541	48	8	shape	shape	NOUN
cana-541	48	9	with	with	ADP
cana-541	48	10	diameter	diameter	NOUN
cana-541	48	11	100𝑛𝑚.	100𝑛𝑚.	NUM
cana-541	48	12	the	the	DET
cana-541	48	13	measurements	measurement	NOUN
cana-541	48	14	of	of	ADP
cana-541	48	15	viscosity	viscosity	NOUN
cana-541	48	16	,	,	PUNCT
cana-541	48	17	thermal	thermal	ADJ
cana-541	48	18	conductivity	conductivity	NOUN
cana-541	48	19	specific	specific	ADJ
cana-541	48	20	heat	heat	NOUN
cana-541	48	21	capacity	capacity	NOUN
cana-541	48	22	,	,	PUNCT
cana-541	48	23	prandtl	prandtl	NOUN
cana-541	48	24	number	number	NOUN
cana-541	48	25	and	and	CCONJ
cana-541	48	26	density	density	NOUN
cana-541	48	27	for	for	ADP
cana-541	48	28	different	different	ADJ
cana-541	48	29	volume	volume	NOUN
cana-541	48	30	fraction	fraction	NOUN
cana-541	48	31	of	of	ADP
cana-541	48	32	different	different	ADJ
cana-541	48	33	nanofluids	nanofluid	NOUN
cana-541	48	34	with	with	ADP
cana-541	48	35	nanoparticle	nanoparticle	NOUN
cana-541	48	36	are	be	AUX
cana-541	48	37	numerically	numerically	ADV
cana-541	48	38	found	find	VERB
cana-541	48	39	out	out	ADP
cana-541	48	40	at	at	ADP
cana-541	48	41	the	the	DET
cana-541	48	42	first	first	ADJ
cana-541	48	43	stage	stage	NOUN
cana-541	48	44	.	.	PUNCT
cana-541	49	1	then	then	ADV
cana-541	49	2	changes	change	NOUN
cana-541	49	3	occurred	occur	VERB
cana-541	49	4	in	in	ADP
cana-541	49	5	velocity	velocity	NOUN
cana-541	49	6	field	field	NOUN
cana-541	49	7	,	,	PUNCT
cana-541	49	8	nusselt	nusselt	NOUN
cana-541	49	9	number	number	NOUN
cana-541	49	10	and	and	CCONJ
cana-541	49	11	skin	skin	NOUN
cana-541	49	12	friction	friction	NOUN
cana-541	49	13	coefficient	coefficient	NOUN
cana-541	49	14	are	be	AUX
cana-541	49	15	analyzed	analyze	VERB
cana-541	49	16	.	.	PUNCT
cana-541	50	1	the	the	DET
cana-541	50	2	effective	effective	ADJ
cana-541	50	3	thermo	thermo	NOUN
cana-541	50	4	-	-	PUNCT
cana-541	50	5	physical	physical	ADJ
cana-541	50	6	properties	property	NOUN
cana-541	50	7	of	of	ADP
cana-541	50	8	nanofluids	nanofluid	NOUN
cana-541	50	9	are	be	AUX
cana-541	50	10	given	give	VERB
cana-541	50	11	by	by	ADP
cana-541	50	12	table	table	NOUN
cana-541	50	13	1.1	1.1	NUM
cana-541	50	14	[	[	X
cana-541	50	15	5	5	NUM
cana-541	50	16	]	]	PUNCT
cana-541	50	17	,	,	PUNCT
cana-541	50	18	[	[	X
cana-541	50	19	6	6	NUM
cana-541	50	20	]	]	PUNCT
cana-541	50	21	and	and	CCONJ
cana-541	50	22	the	the	DET
cana-541	50	23	given	give	VERB
cana-541	50	24	physical	physical	ADJ
cana-541	50	25	properties	property	NOUN
cana-541	50	26	of	of	ADP
cana-541	50	27	the	the	DET
cana-541	50	28	base	base	NOUN
cana-541	50	29	liquid(water	liquid(water	PROPN
cana-541	50	30	)	)	PUNCT
cana-541	50	31	and	and	CCONJ
cana-541	50	32	nanoparticles	nanoparticle	NOUN
cana-541	50	33	are	be	AUX
cana-541	50	34	exhibited	exhibit	VERB
cana-541	50	35	in	in	ADP
cana-541	50	36	table	table	NOUN
cana-541	50	37	1.2	1.2	NUM
cana-541	50	38	[	[	X
cana-541	50	39	7	7	NUM
cana-541	50	40	]	]	PUNCT
cana-541	50	41	,	,	PUNCT
cana-541	50	42	[	[	X
cana-541	50	43	8	8	NUM
cana-541	50	44	]	]	PUNCT
cana-541	50	45	.	.	PUNCT
cana-541	51	1	table	table	NOUN
cana-541	51	2	1.1	1.1	NUM
cana-541	51	3	effective	effective	ADJ
cana-541	51	4	density	density	NOUN
cana-541	51	5	𝜌𝑛𝑓	𝜌𝑛𝑓	NOUN
cana-541	51	6	=	=	SYM
cana-541	51	7	(	(	PUNCT
cana-541	51	8	1	1	NUM
cana-541	51	9	−	−	NOUN
cana-541	51	10	𝜙)𝜌𝑓	𝜙)𝜌𝑓	PROPN
cana-541	51	11	+	+	CCONJ
cana-541	51	12	𝜙𝜌𝑠	𝜙𝜌𝑠	NOUN
cana-541	51	13	specific	specific	ADJ
cana-541	51	14	heat	heat	NOUN
cana-541	51	15	capacity	capacity	NOUN
cana-541	51	16	(	(	PUNCT
cana-541	51	17	𝐶𝑝	𝐶𝑝	PROPN
cana-541	51	18	)	)	PUNCT
cana-541	51	19	𝑛𝑓	𝑛𝑓	NOUN
cana-541	51	20	=	=	SYM
cana-541	51	21	(	(	PUNCT
cana-541	51	22	1	1	NUM
cana-541	51	23	−	−	NUM
cana-541	51	24	𝜙)(𝐶𝑝	𝜙)(𝐶𝑝	NOUN
cana-541	51	25	)	)	PUNCT
cana-541	51	26	𝑓	𝑓	DET
cana-541	51	27	+	+	NUM
cana-541	51	28	𝜙(𝐶𝑝	𝜙(𝐶𝑝	NOUN
cana-541	51	29	)	)	PUNCT
cana-541	51	30	𝑠	𝑠	PRON
cana-541	51	31	dynamic	dynamic	ADJ
cana-541	51	32	viscosity	viscosity	NOUN
cana-541	51	33	𝜇𝑛𝑓	𝜇𝑛𝑓	NOUN
cana-541	52	1	=	=	PUNCT
cana-541	53	1	𝜇𝑓(1	𝜇𝑓(1	SCONJ
cana-541	53	2	−	−	PROPN
cana-541	53	3	∅)−2.5	∅)−2.5	NOUN
cana-541	53	4	,	,	PUNCT
cana-541	53	5	where	where	SCONJ
cana-541	53	6	𝜇𝑓	𝜇𝑓	PROPN
cana-541	53	7	=	=	NOUN
cana-541	53	8	0.001002	0.001002	NUM
cana-541	53	9	thermal	thermal	ADJ
cana-541	53	10	conductivity	conductivity	NOUN
cana-541	53	11	𝑘𝑛𝑓	𝑘𝑛𝑓	NOUN
cana-541	53	12	=	=	SYM
cana-541	54	1	𝑘𝑓	𝑘𝑓	INTJ
cana-541	54	2	(	(	PUNCT
cana-541	54	3	(	(	PUNCT
cana-541	54	4	𝑘𝑠	𝑘𝑠	INTJ
cana-541	54	5	𝑘𝑓	𝑘𝑓	INTJ
cana-541	54	6	⁄	⁄	PROPN
cana-541	54	7	)	)	PUNCT
cana-541	55	1	+	+	PROPN
cana-541	55	2	(	(	PUNCT
cana-541	55	3	𝑛−1)−(𝑛−1)𝜙(1−	𝑛−1)−(𝑛−1)𝜙(1−	NOUN
cana-541	55	4	(	(	PUNCT
cana-541	55	5	𝑘𝑠	𝑘𝑠	PROPN
cana-541	55	6	𝑘𝑓	𝑘𝑓	INTJ
cana-541	55	7	⁄	⁄	PROPN
cana-541	55	8	)	)	PUNCT
cana-541	55	9	)	)	PUNCT
cana-541	55	10	(	(	PUNCT
cana-541	55	11	𝑘𝑠	𝑘𝑠	INTJ
cana-541	55	12	𝑘𝑓	𝑘𝑓	INTJ
cana-541	55	13	⁄	⁄	PROPN
cana-541	55	14	)	)	PUNCT
cana-541	55	15	+	+	PROPN
cana-541	55	16	(	(	PUNCT
cana-541	55	17	𝑛−1)+𝜙(1−	𝑛−1)+𝜙(1−	PROPN
cana-541	55	18	(	(	PUNCT
cana-541	55	19	𝑘𝑠	𝑘𝑠	PROPN
cana-541	55	20	𝑘𝑓	𝑘𝑓	INTJ
cana-541	55	21	⁄	⁄	PROPN
cana-541	55	22	)	)	PUNCT
cana-541	55	23	)	)	PUNCT
cana-541	55	24	)	)	PUNCT
cana-541	55	25	,	,	PUNCT
cana-541	55	26	where	where	SCONJ
cana-541	55	27	𝑛	𝑛	ADJ
cana-541	55	28	=	=	SYM
cana-541	55	29	3	3	NUM
cana-541	55	30	𝛹	𝛹	NOUN
cana-541	55	31	,	,	PUNCT
cana-541	55	32	𝛹	𝛹	PROPN
cana-541	55	33	is	be	AUX
cana-541	55	34	sphericity	sphericity	NOUN
cana-541	55	35	,	,	PUNCT
cana-541	55	36	𝛹	𝛹	PROPN
cana-541	55	37	=	=	SYM
cana-541	55	38	1	1	NUM
cana-541	55	39	for	for	ADP
cana-541	55	40	sphere	sphere	NOUN
cana-541	55	41	prandtl	prandtl	NOUN
cana-541	55	42	number	number	NOUN
cana-541	55	43	𝑃𝑟𝑛𝑓	𝑃𝑟𝑛𝑓	PROPN
cana-541	55	44	=	=	PUNCT
cana-541	55	45	𝜇𝑛𝑓(𝐶𝑝	𝜇𝑛𝑓(𝐶𝑝	PROPN
cana-541	55	46	)	)	PUNCT
cana-541	55	47	𝑛𝑓	𝑛𝑓	PROPN
cana-541	55	48	𝑘𝑛𝑓	𝑘𝑛𝑓	PROPN
cana-541	55	49	table	table	NOUN
cana-541	55	50	1.2	1.2	NUM
cana-541	55	51	:	:	PUNCT
cana-541	55	52	physical	physical	ADJ
cana-541	55	53	properties	property	NOUN
cana-541	55	54	of	of	ADP
cana-541	55	55	water	water	NOUN
cana-541	55	56	,	,	PUNCT
cana-541	55	57	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	55	58	,	,	PUNCT
cana-541	55	59	and	and	CCONJ
cana-541	55	60	𝐴𝑔	𝐴𝑔	PROPN
cana-541	55	61	𝜌	𝜌	X
cana-541	55	62	(	(	PUNCT
cana-541	55	63	𝐾𝑔/𝑚3	𝐾𝑔/𝑚3	NOUN
cana-541	55	64	)	)	PUNCT
cana-541	55	65	𝐶𝑝	𝐶𝑝	PROPN
cana-541	55	66	(	(	PUNCT
cana-541	55	67	𝐽/𝐾𝑔.	𝐽/𝐾𝑔.	NOUN
cana-541	55	68	𝐾	𝐾	NOUN
cana-541	55	69	)	)	PUNCT
cana-541	56	1	𝑘	𝑘	PROPN
cana-541	56	2	(	(	PUNCT
cana-541	56	3	𝑊/𝑚.	𝑊/𝑚.	PROPN
cana-541	56	4	𝐾	𝐾	PROPN
cana-541	56	5	)	)	PUNCT
cana-541	56	6	water	water	NOUN
cana-541	56	7	997.1	997.1	NUM
cana-541	56	8	4179	4179	NUM
cana-541	56	9	0.613	0.613	NUM
cana-541	56	10	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	56	11	4250	4250	NUM
cana-541	57	1	686.2	686.2	NUM
cana-541	57	2	8.9538	8.9538	NUM
cana-541	57	3	𝐴𝑔	𝐴𝑔	PROPN
cana-541	57	4	10500	10500	NUM
cana-541	57	5	235	235	NUM
cana-541	57	6	429	429	NUM
cana-541	57	7	the	the	DET
cana-541	57	8	governing	govern	VERB
cana-541	57	9	equations	equation	NOUN
cana-541	57	10	of	of	ADP
cana-541	57	11	the	the	DET
cana-541	57	12	flow	flow	NOUN
cana-541	57	13	are	be	AUX
cana-541	57	14	[	[	X
cana-541	57	15	9	9	NUM
cana-541	57	16	]	]	SYM
cana-541	57	17	:	:	PUNCT
cana-541	57	18	continuity	continuity	NOUN
cana-541	57	19	equation	equation	NOUN
cana-541	57	20	:	:	PUNCT
cana-541	57	21	𝜕𝑢	𝜕𝑢	NOUN
cana-541	57	22	𝜕𝑥	𝜕𝑥	NOUN
cana-541	57	23	+	+	CCONJ
cana-541	57	24	𝜕𝑣	𝜕𝑣	NOUN
cana-541	57	25	𝜕𝑦	𝜕𝑦	NOUN
cana-541	57	26	=	=	SYM
cana-541	57	27	0	0	NUM
cana-541	57	28	(	(	PUNCT
cana-541	57	29	1	1	NUM
cana-541	57	30	)	)	PUNCT
cana-541	57	31	momentum	momentum	NOUN
cana-541	57	32	equation	equation	NOUN
cana-541	57	33	:	:	PUNCT
cana-541	57	34	𝑢	𝑢	X
cana-541	57	35	𝜕𝑢	𝜕𝑢	NOUN
cana-541	57	36	𝜕𝑥	𝜕𝑥	NOUN
cana-541	57	37	+	+	CCONJ
cana-541	57	38	𝑣	𝑣	DET
cana-541	57	39	𝜕𝑢	𝜕𝑢	NOUN
cana-541	57	40	𝜕𝑦	𝜕𝑦	NOUN
cana-541	57	41	=	=	SYM
cana-541	57	42	𝜐𝑛𝑓	𝜐𝑛𝑓	ADJ
cana-541	57	43	𝜕2𝑢	𝜕2𝑢	PROPN
cana-541	57	44	𝜕𝑦2	𝜕𝑦2	PROPN
cana-541	57	45	(	(	PUNCT
cana-541	57	46	2	2	NUM
cana-541	57	47	)	)	PUNCT
cana-541	57	48	communications	communication	NOUN
cana-541	57	49	on	on	ADP
cana-541	57	50	applied	apply	VERB
cana-541	57	51	nonlinear	nonlinear	ADJ
cana-541	57	52	analysis	analysis	NOUN
cana-541	57	53	issn	issn	NOUN
cana-541	57	54	:	:	PUNCT
cana-541	57	55	1074	1074	NUM
cana-541	57	56	-	-	PUNCT
cana-541	57	57	133x	133x	NUM
cana-541	57	58	vol	vol	NOUN
cana-541	57	59	31	31	NUM
cana-541	57	60	no	no	NOUN
cana-541	57	61	.	.	NOUN
cana-541	57	62	2	2	NUM
cana-541	57	63	(	(	PUNCT
cana-541	57	64	2024	2024	NUM
cana-541	57	65	)	)	PUNCT
cana-541	57	66	262	262	NUM
cana-541	57	67	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	57	68	energy	energy	NOUN
cana-541	57	69	equation	equation	NOUN
cana-541	57	70	:	:	PUNCT
cana-541	57	71	𝑢	𝑢	X
cana-541	57	72	𝜕𝑇	𝜕𝑇	X
cana-541	57	73	𝜕𝑥	𝜕𝑥	NOUN
cana-541	57	74	+	+	CCONJ
cana-541	57	75	𝑣	𝑣	DET
cana-541	57	76	𝜕𝑇	𝜕𝑇	NOUN
cana-541	57	77	𝜕𝑦	𝜕𝑦	NOUN
cana-541	57	78	=	=	SYM
cana-541	57	79	𝑘𝑛𝑓	𝑘𝑛𝑓	PROPN
cana-541	57	80	𝜌𝑛𝑓(𝐶𝑝	𝜌𝑛𝑓(𝐶𝑝	NOUN
cana-541	57	81	)	)	PUNCT
cana-541	57	82	𝑛𝑓	𝑛𝑓	PROPN
cana-541	57	83	(	(	PUNCT
cana-541	57	84	𝜕2𝑇	𝜕2𝑇	PROPN
cana-541	57	85	𝜕𝑦2	𝜕𝑦2	ADJ
cana-541	57	86	)	)	PUNCT
cana-541	57	87	(	(	PUNCT
cana-541	57	88	3	3	X
cana-541	57	89	)	)	PUNCT
cana-541	57	90	where	where	SCONJ
cana-541	57	91	𝑢	𝑢	NOUN
cana-541	57	92	and	and	CCONJ
cana-541	57	93	𝑣	𝑣	PROPN
cana-541	57	94	are	be	AUX
cana-541	57	95	the	the	DET
cana-541	57	96	velocity	velocity	NOUN
cana-541	57	97	components	component	NOUN
cana-541	57	98	in	in	ADP
cana-541	57	99	the	the	DET
cana-541	57	100	𝑥	𝑥	X
cana-541	57	101	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-541	57	102	𝑦	𝑦	NOUN
cana-541	57	103	directions	direction	NOUN
cana-541	57	104	,	,	PUNCT
cana-541	57	105	𝑇temperature	𝑇temperature	NOUN
cana-541	57	106	.	.	PUNCT
cana-541	58	1	the	the	DET
cana-541	58	2	contribution	contribution	NOUN
cana-541	58	3	of	of	ADP
cana-541	58	4	viscous	viscous	ADJ
cana-541	58	5	dissipation	dissipation	NOUN
cana-541	58	6	is	be	AUX
cana-541	58	7	disregarded	disregard	VERB
cana-541	58	8	form	form	NOUN
cana-541	58	9	the	the	DET
cana-541	58	10	energy	energy	NOUN
cana-541	58	11	equation	equation	NOUN
cana-541	58	12	.	.	PUNCT
cana-541	59	1	the	the	DET
cana-541	59	2	boundary	boundary	ADJ
cana-541	59	3	constraints	constraint	NOUN
cana-541	59	4	are	be	AUX
cana-541	59	5	given	give	VERB
cana-541	59	6	by	by	ADP
cana-541	59	7	[	[	PUNCT
cana-541	59	8	9	9	NUM
cana-541	59	9	]	]	PUNCT
cana-541	59	10	:	:	PUNCT
cana-541	60	1	𝐴𝑡	𝐴𝑡	VERB
cana-541	60	2	𝑦	𝑦	NOUN
cana-541	60	3	=	=	SYM
cana-541	60	4	0	0	NUM
cana-541	60	5	,	,	PUNCT
cana-541	60	6	𝑢	𝑢	X
cana-541	60	7	=	=	NOUN
cana-541	60	8	𝑣	𝑣	NOUN
cana-541	60	9	=	=	SYM
cana-541	60	10	0	0	PROPN
cana-541	60	11	,	,	PUNCT
cana-541	60	12	𝑇	𝑇	PROPN
cana-541	60	13	=	=	SYM
cana-541	61	1	𝑇𝑤	𝑇𝑤	PROPN
cana-541	61	2	𝐴𝑠	𝐴𝑠	PROPN
cana-541	61	3	𝑦	𝑦	X
cana-541	61	4	→	→	SYM
cana-541	61	5	∞	∞	PROPN
cana-541	61	6	,	,	PUNCT
cana-541	61	7	𝑢	𝑢	X
cana-541	61	8	=	=	SYM
cana-541	61	9	𝑈∞	𝑈∞	PROPN
cana-541	61	10	,	,	PUNCT
cana-541	61	11	𝑇	𝑇	PROPN
cana-541	61	12	=	=	SYM
cana-541	61	13	𝑇∞	𝑇∞	PROPN
cana-541	61	14	.	.	PUNCT
cana-541	62	1	(	(	PUNCT
cana-541	62	2	4	4	NUM
cana-541	62	3	)	)	PUNCT
cana-541	62	4	to	to	PART
cana-541	62	5	solve	solve	VERB
cana-541	62	6	the	the	DET
cana-541	62	7	problem	problem	NOUN
cana-541	62	8	,	,	PUNCT
cana-541	62	9	the	the	DET
cana-541	62	10	following	follow	VERB
cana-541	62	11	dimensionless	dimensionless	NOUN
cana-541	62	12	variables	variable	NOUN
cana-541	62	13	are	be	AUX
cana-541	62	14	implemented	implement	VERB
cana-541	62	15	[	[	PUNCT
cana-541	62	16	10	10	NUM
cana-541	62	17	]	]	PUNCT
cana-541	62	18	:	:	PUNCT
cana-541	62	19	𝛹(𝑥	𝛹(𝑥	NUM
cana-541	62	20	,	,	PUNCT
cana-541	62	21	𝑦	𝑦	NOUN
cana-541	62	22	)	)	PUNCT
cana-541	62	23	=	=	SYM
cana-541	62	24	(	(	PUNCT
cana-541	62	25	𝑈∞𝜐𝑓𝑥	𝑈∞𝜐𝑓𝑥	NOUN
cana-541	62	26	)	)	PUNCT
cana-541	62	27	1	1	NUM
cana-541	62	28	2𝑓(𝜂	2𝑓(𝜂	NUM
cana-541	62	29	)	)	PUNCT
cana-541	62	30	,	,	PUNCT
cana-541	62	31	𝜂	𝜂	X
cana-541	62	32	=	=	SYM
cana-541	62	33	𝑦	𝑦	PROPN
cana-541	62	34	(	(	PUNCT
cana-541	62	35	𝑈∞	𝑈∞	NOUN
cana-541	62	36	𝜐𝑓𝑥	𝜐𝑓𝑥	X
cana-541	62	37	)	)	PUNCT
cana-541	62	38	1	1	NUM
cana-541	62	39	2	2	NUM
cana-541	62	40	,	,	PUNCT
cana-541	62	41	𝜃	𝜃	NOUN
cana-541	62	42	=	=	PUNCT
cana-541	62	43	𝑇−𝑇∞	𝑇−𝑇∞	ADV
cana-541	62	44	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	ADJ
cana-541	62	45	,	,	PUNCT
cana-541	62	46	(	(	PUNCT
cana-541	62	47	5	5	NUM
cana-541	62	48	)	)	PUNCT
cana-541	62	49	here	here	ADV
cana-541	62	50	𝛹(𝑥	𝛹(𝑥	SYM
cana-541	62	51	,	,	PUNCT
cana-541	62	52	𝑦	𝑦	NOUN
cana-541	62	53	)	)	PUNCT
cana-541	62	54	is	be	AUX
cana-541	62	55	the	the	DET
cana-541	62	56	stream	stream	NOUN
cana-541	62	57	function	function	NOUN
cana-541	62	58	which	which	PRON
cana-541	62	59	satisfies	satisfy	VERB
cana-541	62	60	the	the	DET
cana-541	62	61	equation	equation	NOUN
cana-541	62	62	for	for	ADP
cana-541	62	63	continuity	continuity	NOUN
cana-541	62	64	with	with	ADP
cana-541	62	65	𝑢	𝑢	PROPN
cana-541	62	66	=	=	SYM
cana-541	62	67	𝜕𝛹	𝜕𝛹	X
cana-541	62	68	𝜕𝑦	𝜕𝑦	PROPN
cana-541	62	69	and	and	CCONJ
cana-541	62	70	𝑣	𝑣	X
cana-541	62	71	=	=	SYM
cana-541	63	1	−	−	PROPN
cana-541	63	2	𝜕𝛹	𝜕𝛹	X
cana-541	63	3	𝜕𝑥	𝜕𝑥	NOUN
cana-541	63	4	;	;	PUNCT
cana-541	63	5	𝜃	𝜃	X
cana-541	63	6	is	be	AUX
cana-541	63	7	the	the	DET
cana-541	63	8	dimensionless	dimensionless	ADJ
cana-541	63	9	temperature	temperature	NOUN
cana-541	63	10	.	.	PUNCT
cana-541	64	1	by	by	ADP
cana-541	64	2	employing	employ	VERB
cana-541	64	3	these	these	DET
cana-541	64	4	variables	variable	NOUN
cana-541	64	5	,	,	PUNCT
cana-541	64	6	the	the	DET
cana-541	64	7	components	component	NOUN
cana-541	64	8	of	of	ADP
cana-541	64	9	velocity	velocity	NOUN
cana-541	64	10	can	can	AUX
cana-541	64	11	be	be	AUX
cana-541	64	12	described	describe	VERB
cana-541	64	13	in	in	ADP
cana-541	64	14	terms	term	NOUN
cana-541	64	15	of	of	ADP
cana-541	64	16	the	the	DET
cana-541	64	17	newly	newly	ADV
cana-541	64	18	defined	define	VERB
cana-541	64	19	variables	variable	NOUN
cana-541	64	20	𝑢	𝑢	PART
cana-541	64	21	=	=	SYM
cana-541	64	22	𝑈∞𝑓′(𝜂	𝑈∞𝑓′(𝜂	PROPN
cana-541	64	23	)	)	PUNCT
cana-541	64	24	(	(	PUNCT
cana-541	64	25	6	6	NUM
cana-541	64	26	)	)	PUNCT
cana-541	64	27	𝑣	𝑣	NOUN
cana-541	65	1	=	=	SYM
cana-541	65	2	1	1	NUM
cana-541	65	3	2	2	NUM
cana-541	65	4	(	(	PUNCT
cana-541	65	5	𝑈∞𝜐𝑓	𝑈∞𝜐𝑓	NOUN
cana-541	65	6	𝑥	𝑥	X
cana-541	65	7	)	)	PUNCT
cana-541	65	8	1	1	NUM
cana-541	65	9	2	2	NUM
cana-541	65	10	(	(	PUNCT
cana-541	65	11	𝜂𝑓′(𝜂	𝜂𝑓′(𝜂	NOUN
cana-541	65	12	)	)	PUNCT
cana-541	65	13	−	−	PROPN
cana-541	65	14	𝑓(𝜂	𝑓(𝜂	NOUN
cana-541	65	15	)	)	PUNCT
cana-541	65	16	)	)	PUNCT
cana-541	66	1	(	(	PUNCT
cana-541	66	2	7	7	X
cana-541	66	3	)	)	PUNCT
cana-541	66	4	through	through	ADP
cana-541	66	5	the	the	DET
cana-541	66	6	application	application	NOUN
cana-541	66	7	of	of	ADP
cana-541	66	8	these	these	DET
cana-541	66	9	transformations	transformation	NOUN
cana-541	66	10	,	,	PUNCT
cana-541	66	11	the	the	DET
cana-541	66	12	energy	energy	NOUN
cana-541	66	13	and	and	CCONJ
cana-541	66	14	momentum	momentum	NOUN
cana-541	66	15	equations	equation	NOUN
cana-541	66	16	can	can	AUX
cana-541	66	17	be	be	AUX
cana-541	66	18	reduced	reduce	VERB
cana-541	66	19	to	to	ADP
cana-541	66	20	the	the	DET
cana-541	66	21	ordinary	ordinary	ADJ
cana-541	66	22	differential	differential	ADJ
cana-541	66	23	equations	equation	NOUN
cana-541	66	24	which	which	PRON
cana-541	66	25	are	be	AUX
cana-541	66	26	nonlinear	nonlinear	ADJ
cana-541	66	27	as	as	ADP
cana-541	66	28	:	:	PUNCT
cana-541	66	29	𝑓′′′	𝑓′′′	ADJ
cana-541	66	30	+	+	CCONJ
cana-541	66	31	1	1	NUM
cana-541	66	32	2	2	NUM
cana-541	66	33	(	(	PUNCT
cana-541	66	34	(	(	PUNCT
cana-541	66	35	1	1	NUM
cana-541	66	36	−	−	PROPN
cana-541	66	37	𝜙)2.5	𝜙)2.5	PROPN
cana-541	66	38	[	[	X
cana-541	66	39	(	(	PUNCT
cana-541	66	40	1	1	NUM
cana-541	66	41	−	−	NOUN
cana-541	66	42	𝜙	𝜙	NOUN
cana-541	66	43	)	)	PUNCT
cana-541	66	44	+	+	CCONJ
cana-541	66	45	𝜙	𝜙	DET
cana-541	66	46	𝜌𝑠	𝜌𝑠	NOUN
cana-541	66	47	𝜌𝑓	𝜌𝑓	NOUN
cana-541	66	48	]	]	PUNCT
cana-541	66	49	)	)	PUNCT
cana-541	67	1	𝑓𝑓′′	𝑓𝑓′′	PUNCT
cana-541	67	2	=	=	SYM
cana-541	67	3	0	0	PUNCT
cana-541	67	4	(	(	PUNCT
cana-541	67	5	8)	8)	NUM
cana-541	67	6	𝜃′′	𝜃′′	NOUN
cana-541	67	7	+	+	CCONJ
cana-541	67	8	1	1	NUM
cana-541	67	9	2	2	NUM
cana-541	67	10	(	(	PUNCT
cana-541	67	11	[	[	X
cana-541	67	12	(	(	PUNCT
cana-541	67	13	1−𝜙)+𝜙	1−𝜙)+𝜙	NUM
cana-541	67	14	𝜌𝑠	𝜌𝑠	NOUN
cana-541	67	15	𝜌𝑓	𝜌𝑓	NOUN
cana-541	67	16	]	]	PUNCT
cana-541	68	1	[	[	X
cana-541	68	2	(	(	PUNCT
cana-541	68	3	1−𝜙)+𝜙	1−𝜙)+𝜙	NUM
cana-541	68	4	(	(	PUNCT
cana-541	68	5	𝐶𝑝	𝐶𝑝	PROPN
cana-541	68	6	)	)	PUNCT
cana-541	68	7	𝑠	𝑠	PROPN
cana-541	68	8	(	(	PUNCT
cana-541	68	9	𝐶𝑝	𝐶𝑝	PROPN
cana-541	68	10	)	)	PUNCT
cana-541	68	11	𝑓	𝑓	PRON
cana-541	68	12	]	]	X
cana-541	68	13	)	)	PUNCT
cana-541	68	14	(	(	PUNCT
cana-541	68	15	𝑃𝑟)𝑓𝑓𝜃′	𝑃𝑟)𝑓𝑓𝜃′	PROPN
cana-541	68	16	(	(	PUNCT
cana-541	68	17	𝑘𝑛𝑓	𝑘𝑛𝑓	PROPN
cana-541	68	18	𝑘𝑓	𝑘𝑓	INTJ
cana-541	68	19	⁄	⁄	ADJ
cana-541	68	20	)	)	PUNCT
cana-541	68	21	=	=	SYM
cana-541	68	22	0	0	PUNCT
cana-541	68	23	(	(	PUNCT
cana-541	68	24	9	9	NUM
cana-541	68	25	)	)	PUNCT
cana-541	68	26	where	where	SCONJ
cana-541	68	27	(	(	PUNCT
cana-541	68	28	𝑃𝑟)𝑓	𝑃𝑟)𝑓	NOUN
cana-541	68	29	=	=	PRON
cana-541	68	30	𝜐𝑓	𝜐𝑓	AUX
cana-541	68	31	𝛼𝑓	𝛼𝑓	INTJ
cana-541	68	32	,	,	PUNCT
cana-541	68	33	𝜐𝑓	𝜐𝑓	ADP
cana-541	68	34	=	=	VERB
cana-541	68	35	𝜇𝑓	𝜇𝑓	PROPN
cana-541	68	36	𝜌𝑓	𝜌𝑓	NOUN
cana-541	68	37	and	and	CCONJ
cana-541	68	38	𝛼𝑓	𝛼𝑓	X
cana-541	69	1	=	=	SYM
cana-541	69	2	𝑘𝑓	𝑘𝑓	NUM
cana-541	69	3	𝜌𝑓(𝐶𝑝	𝜌𝑓(𝐶𝑝	PROPN
cana-541	69	4	)	)	PUNCT
cana-541	69	5	𝑓	𝑓	DET
cana-541	69	6	the	the	DET
cana-541	69	7	boundary	boundary	ADJ
cana-541	69	8	conditions	condition	NOUN
cana-541	69	9	are	be	AUX
cana-541	69	10	then	then	ADV
cana-541	69	11	reduced	reduce	VERB
cana-541	69	12	to	to	ADP
cana-541	69	13	𝜂	𝜂	NOUN
cana-541	69	14	=	=	SYM
cana-541	69	15	0	0	NUM
cana-541	69	16	,	,	PUNCT
cana-541	69	17	𝑓	𝑓	NOUN
cana-541	69	18	=	=	SYM
cana-541	69	19	0	0	NUM
cana-541	69	20	,	,	PUNCT
cana-541	69	21	𝑓′	𝑓′	NOUN
cana-541	69	22	=	=	SYM
cana-541	69	23	0	0	NUM
cana-541	69	24	,	,	PUNCT
cana-541	69	25	𝜃	𝜃	NOUN
cana-541	69	26	=	=	SYM
cana-541	69	27	1	1	NUM
cana-541	69	28	𝜂	𝜂	PROPN
cana-541	69	29	→	→	SYM
cana-541	69	30	∞	∞	PROPN
cana-541	69	31	,	,	PUNCT
cana-541	69	32	𝑓′	𝑓′	NOUN
cana-541	69	33	=	=	SYM
cana-541	69	34	1	1	NUM
cana-541	69	35	,	,	PUNCT
cana-541	69	36	𝜃	𝜃	NOUN
cana-541	69	37	=	=	SYM
cana-541	69	38	0	0	NUM
cana-541	69	39	(	(	PUNCT
cana-541	69	40	10	10	NUM
cana-541	69	41	)	)	PUNCT
cana-541	69	42	the	the	DET
cana-541	69	43	dimensionless	dimensionless	NOUN
cana-541	69	44	quantities	quantity	NOUN
cana-541	69	45	like	like	ADP
cana-541	69	46	nusselt	nusselt	NOUN
cana-541	69	47	number	number	NOUN
cana-541	69	48	𝑁𝑢	𝑁𝑢	PROPN
cana-541	69	49	and	and	CCONJ
cana-541	69	50	skin	skin	NOUN
cana-541	69	51	friction	friction	NOUN
cana-541	69	52	coefficient	coefficient	NOUN
cana-541	70	1	𝐶𝑓	𝐶𝑓	PROPN
cana-541	70	2	are	be	AUX
cana-541	70	3	considered	consider	VERB
cana-541	70	4	in	in	ADP
cana-541	70	5	this	this	DET
cana-541	70	6	study	study	NOUN
cana-541	70	7	.	.	PUNCT
cana-541	71	1	these	these	DET
cana-541	71	2	quantities	quantity	NOUN
cana-541	71	3	are	be	AUX
cana-541	71	4	defined	define	VERB
cana-541	71	5	as	as	ADP
cana-541	71	6	[	[	X
cana-541	71	7	11	11	NUM
cana-541	71	8	]	]	PUNCT
cana-541	71	9	communications	communication	NOUN
cana-541	71	10	on	on	ADP
cana-541	71	11	applied	apply	VERB
cana-541	71	12	nonlinear	nonlinear	ADJ
cana-541	71	13	analysis	analysis	NOUN
cana-541	71	14	issn	issn	NOUN
cana-541	71	15	:	:	PUNCT
cana-541	71	16	1074	1074	NUM
cana-541	71	17	-	-	PUNCT
cana-541	71	18	133x	133x	NUM
cana-541	71	19	vol	vol	NOUN
cana-541	71	20	31	31	NUM
cana-541	71	21	no	no	NOUN
cana-541	71	22	.	.	NOUN
cana-541	71	23	2	2	NUM
cana-541	71	24	(	(	PUNCT
cana-541	71	25	2024	2024	NUM
cana-541	71	26	)	)	PUNCT
cana-541	71	27	263	263	NUM
cana-541	71	28	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	72	1	𝐶𝑓	𝐶𝑓	NOUN
cana-541	72	2	=	=	PUNCT
cana-541	72	3	𝜏𝑤	𝜏𝑤	ADV
cana-541	72	4	𝜌𝑓𝑈∞	𝜌𝑓𝑈∞	NOUN
cana-541	72	5	2	2	NUM
cana-541	72	6	,	,	PUNCT
cana-541	72	7	where	where	SCONJ
cana-541	72	8	𝜏𝑤	𝜏𝑤	ADV
cana-541	72	9	=	=	SYM
cana-541	72	10	𝜇𝑛𝑓	𝜇𝑛𝑓	NOUN
cana-541	72	11	(	(	PUNCT
cana-541	72	12	𝜕𝑢	𝜕𝑢	NOUN
cana-541	72	13	𝜕𝑦	𝜕𝑦	NOUN
cana-541	72	14	)	)	PUNCT
cana-541	72	15	𝑦=0	𝑦=0	X
cana-541	72	16	(	(	PUNCT
cana-541	72	17	11	11	X
cana-541	72	18	)	)	PUNCT
cana-541	72	19	𝑁𝑢	𝑁𝑢	NOUN
cana-541	72	20	=	=	SYM
cana-541	72	21	𝑥𝑞𝑤	𝑥𝑞𝑤	NOUN
cana-541	72	22	𝑘𝑓(𝑇𝑤−𝑇∞	𝑘𝑓(𝑇𝑤−𝑇∞	PROPN
cana-541	72	23	)	)	PUNCT
cana-541	72	24	,	,	PUNCT
cana-541	72	25	where	where	SCONJ
cana-541	72	26	𝑞𝑤	𝑞𝑤	ADV
cana-541	72	27	=	=	SYM
cana-541	72	28	−𝑘𝑛𝑓	−𝑘𝑛𝑓	NOUN
cana-541	72	29	(	(	PUNCT
cana-541	72	30	𝜕𝑇	𝜕𝑇	X
cana-541	72	31	𝜕𝑦	𝜕𝑦	X
cana-541	72	32	)	)	PUNCT
cana-541	72	33	𝑦=0	𝑦=0	X
cana-541	72	34	(	(	PUNCT
cana-541	72	35	12	12	NUM
cana-541	72	36	)	)	PUNCT
cana-541	72	37	by	by	ADP
cana-541	72	38	equation	equation	NOUN
cana-541	72	39	(	(	PUNCT
cana-541	72	40	5	5	NUM
cana-541	72	41	)	)	PUNCT
cana-541	72	42	,	,	PUNCT
cana-541	72	43	we	we	PRON
cana-541	72	44	get	get	VERB
cana-541	72	45	𝐶𝑓(𝑅𝑒𝑥	𝐶𝑓(𝑅𝑒𝑥	NOUN
cana-541	72	46	)	)	PUNCT
cana-541	72	47	1	1	NUM
cana-541	72	48	2	2	NUM
cana-541	72	49	=	=	SYM
cana-541	72	50	1	1	NUM
cana-541	72	51	(	(	PUNCT
cana-541	72	52	1−𝜙)2.5	1−𝜙)2.5	NUM
cana-541	72	53	𝑓′′(0	𝑓′′(0	NOUN
cana-541	72	54	)	)	PUNCT
cana-541	72	55	(	(	PUNCT
cana-541	72	56	13	13	NUM
cana-541	72	57	)	)	PUNCT
cana-541	72	58	𝑁𝑢(𝑅𝑒𝑥)−	𝑁𝑢(𝑅𝑒𝑥)−	NOUN
cana-541	72	59	1	1	NUM
cana-541	72	60	2	2	NUM
cana-541	72	61	=	=	SYM
cana-541	72	62	−	−	NOUN
cana-541	72	63	𝑘𝑛𝑓	𝑘𝑛𝑓	NOUN
cana-541	72	64	𝑘𝑓	𝑘𝑓	NUM
cana-541	72	65	𝜃′(0	𝜃′(0	NOUN
cana-541	72	66	)	)	PUNCT
cana-541	72	67	(	(	PUNCT
cana-541	72	68	14	14	NUM
cana-541	72	69	)	)	PUNCT
cana-541	73	1	where	where	SCONJ
cana-541	73	2	𝑅𝑒𝑥	𝑅𝑒𝑥	PROPN
cana-541	73	3	=	=	SYM
cana-541	73	4	𝑈∞𝑥	𝑈∞𝑥	PUNCT
cana-541	73	5	𝜐𝑓	𝜐𝑓	NOUN
cana-541	73	6	,	,	PUNCT
cana-541	73	7	is	be	AUX
cana-541	73	8	the	the	DET
cana-541	73	9	local	local	ADJ
cana-541	73	10	reynolds	reynold	NOUN
cana-541	73	11	number	number	NOUN
cana-541	73	12	.	.	PUNCT
cana-541	74	1	the	the	DET
cana-541	74	2	values	value	NOUN
cana-541	74	3	that	that	PRON
cana-541	74	4	obtained	obtain	VERB
cana-541	74	5	for	for	ADP
cana-541	74	6	specific	specific	ADJ
cana-541	74	7	heat	heat	NOUN
cana-541	74	8	capacity	capacity	NOUN
cana-541	74	9	,	,	PUNCT
cana-541	74	10	density	density	NOUN
cana-541	74	11	,	,	PUNCT
cana-541	74	12	viscosity	viscosity	NOUN
cana-541	74	13	,	,	PUNCT
cana-541	74	14	thermal	thermal	ADJ
cana-541	74	15	conductivity	conductivity	NOUN
cana-541	74	16	by	by	ADP
cana-541	74	17	the	the	DET
cana-541	74	18	numerical	numerical	ADJ
cana-541	74	19	method	method	NOUN
cana-541	74	20	of	of	ADP
cana-541	74	21	both	both	CCONJ
cana-541	74	22	the	the	DET
cana-541	74	23	nanofluids	nanofluid	NOUN
cana-541	74	24	are	be	AUX
cana-541	74	25	found	find	VERB
cana-541	74	26	using	use	VERB
cana-541	74	27	matlab	matlab	PROPN
cana-541	74	28	.	.	PUNCT
cana-541	75	1	the	the	DET
cana-541	75	2	set	set	NOUN
cana-541	75	3	of	of	ADP
cana-541	75	4	differential	differential	ADJ
cana-541	75	5	equations	equation	NOUN
cana-541	75	6	which	which	PRON
cana-541	75	7	are	be	AUX
cana-541	75	8	nonlinear	nonlinear	ADJ
cana-541	75	9	(	(	PUNCT
cana-541	75	10	8)	8)	NUM
cana-541	75	11	,	,	PUNCT
cana-541	75	12	(	(	PUNCT
cana-541	75	13	9	9	NUM
cana-541	75	14	)	)	PUNCT
cana-541	75	15	,	,	PUNCT
cana-541	75	16	could	could	AUX
cana-541	75	17	be	be	AUX
cana-541	75	18	derived	derive	VERB
cana-541	75	19	through	through	ADP
cana-541	75	20	similarity	similarity	NOUN
cana-541	75	21	transformations	transformation	NOUN
cana-541	75	22	,	,	PUNCT
cana-541	75	23	subject	subject	ADJ
cana-541	75	24	to	to	ADP
cana-541	75	25	the	the	DET
cana-541	75	26	boundary	boundary	ADJ
cana-541	75	27	conditions	condition	NOUN
cana-541	75	28	(	(	PUNCT
cana-541	75	29	10	10	NUM
cana-541	75	30	)	)	PUNCT
cana-541	75	31	are	be	AUX
cana-541	75	32	solved	solve	VERB
cana-541	75	33	using	use	VERB
cana-541	75	34	matlab	matlab	NOUN
cana-541	75	35	bvp5c	bvp5c	NOUN
cana-541	75	36	solution	solution	NOUN
cana-541	75	37	procedure	procedure	NOUN
cana-541	75	38	.	.	PUNCT
cana-541	76	1	4	4	X
cana-541	76	2	.	.	X
cana-541	76	3	results	result	NOUN
cana-541	76	4	analysing	analyse	VERB
cana-541	76	5	the	the	DET
cana-541	76	6	forced	force	VERB
cana-541	76	7	convective	convective	ADJ
cana-541	76	8	boundary	boundary	ADJ
cana-541	76	9	layer	layer	NOUN
cana-541	76	10	flow	flow	NOUN
cana-541	76	11	of	of	ADP
cana-541	76	12	various	various	ADJ
cana-541	76	13	nanofluids	nanofluid	NOUN
cana-541	76	14	across	across	ADP
cana-541	76	15	a	a	DET
cana-541	76	16	flat	flat	ADJ
cana-541	76	17	plate	plate	NOUN
cana-541	76	18	in	in	ADP
cana-541	76	19	the	the	DET
cana-541	76	20	two	two	NUM
cana-541	76	21	-	-	PUNCT
cana-541	76	22	dimensional	dimensional	ADJ
cana-541	76	23	problem	problem	NOUN
cana-541	76	24	is	be	AUX
cana-541	76	25	analysed	analyse	VERB
cana-541	76	26	.	.	PUNCT
cana-541	77	1	the	the	DET
cana-541	77	2	numerical	numerical	ADJ
cana-541	77	3	values	value	NOUN
cana-541	77	4	of	of	ADP
cana-541	77	5	thermo	thermo	NOUN
cana-541	77	6	-	-	PUNCT
cana-541	77	7	physical	physical	ADJ
cana-541	77	8	characteristics	characteristic	NOUN
cana-541	77	9	of	of	ADP
cana-541	77	10	different	different	ADJ
cana-541	77	11	nanofluids	nanofluid	NOUN
cana-541	77	12	for	for	ADP
cana-541	77	13	different	different	ADJ
cana-541	77	14	volume	volume	NOUN
cana-541	77	15	fraction	fraction	NOUN
cana-541	77	16	of	of	ADP
cana-541	77	17	nanoparticle	nanoparticle	NOUN
cana-541	77	18	are	be	AUX
cana-541	77	19	noted	note	VERB
cana-541	77	20	.	.	PUNCT
cana-541	78	1	also	also	ADV
cana-541	78	2	,	,	PUNCT
cana-541	78	3	the	the	DET
cana-541	78	4	variations	variation	NOUN
cana-541	78	5	observed	observe	VERB
cana-541	78	6	in	in	ADP
cana-541	78	7	the	the	DET
cana-541	78	8	velocity	velocity	NOUN
cana-541	78	9	field	field	NOUN
cana-541	78	10	are	be	AUX
cana-541	78	11	examined	examine	VERB
cana-541	78	12	through	through	ADP
cana-541	78	13	the	the	DET
cana-541	78	14	nusselt	nusselt	NOUN
cana-541	78	15	number	number	NOUN
cana-541	78	16	and	and	CCONJ
cana-541	78	17	skin	skin	NOUN
cana-541	78	18	friction	friction	NOUN
cana-541	78	19	coefficient	coefficient	NOUN
cana-541	78	20	.	.	PUNCT
cana-541	79	1	an	an	DET
cana-541	79	2	alternative	alternative	ADJ
cana-541	79	3	expression	expression	NOUN
cana-541	79	4	for	for	ADP
cana-541	79	5	the	the	DET
cana-541	79	6	impact	impact	NOUN
cana-541	79	7	of	of	ADP
cana-541	79	8	volume	volume	NOUN
cana-541	79	9	fraction	fraction	NOUN
cana-541	79	10	on	on	ADP
cana-541	79	11	the	the	DET
cana-541	79	12	density	density	NOUN
cana-541	79	13	of	of	ADP
cana-541	79	14	𝑇𝑖𝑂2	𝑇𝑖𝑂2	PROPN
cana-541	79	15	-	-	PUNCT
cana-541	79	16	h2o	h2o	NOUN
cana-541	79	17	and	and	CCONJ
cana-541	79	18	𝐴𝑔-h2o	𝐴𝑔-h2o	NOUN
cana-541	79	19	nanofluids	nanofluid	NOUN
cana-541	79	20	are	be	AUX
cana-541	79	21	exhibited	exhibit	VERB
cana-541	79	22	in	in	ADP
cana-541	79	23	figure	figure	NOUN
cana-541	79	24	1.1	1.1	NUM
cana-541	79	25	.	.	PUNCT
cana-541	80	1	the	the	DET
cana-541	80	2	figure	figure	NOUN
cana-541	80	3	illustrates	illustrate	VERB
cana-541	80	4	a	a	DET
cana-541	80	5	clear	clear	ADJ
cana-541	80	6	trend	trend	NOUN
cana-541	80	7	:	:	PUNCT
cana-541	80	8	as	as	SCONJ
cana-541	80	9	the	the	DET
cana-541	80	10	volume	volume	NOUN
cana-541	80	11	fraction	fraction	NOUN
cana-541	80	12	increases	increase	NOUN
cana-541	80	13	,	,	PUNCT
cana-541	80	14	so	so	SCONJ
cana-541	80	15	the	the	DET
cana-541	80	16	density	density	NOUN
cana-541	80	17	of	of	ADP
cana-541	80	18	the	the	DET
cana-541	80	19	nanofluid	nanofluid	NOUN
cana-541	80	20	.	.	PUNCT
cana-541	81	1	also	also	ADV
cana-541	81	2	,	,	PUNCT
cana-541	81	3	the	the	DET
cana-541	81	4	increase	increase	NOUN
cana-541	81	5	is	be	AUX
cana-541	81	6	more	more	ADJ
cana-541	81	7	in	in	ADP
cana-541	81	8	the	the	DET
cana-541	81	9	case	case	NOUN
cana-541	81	10	of	of	ADP
cana-541	81	11	𝐴𝑔--water	𝐴𝑔--water	PROPN
cana-541	81	12	nanofluid	nanofluid	PROPN
cana-541	81	13	.	.	PUNCT
cana-541	82	1	this	this	PRON
cana-541	82	2	is	be	AUX
cana-541	82	3	because	because	SCONJ
cana-541	82	4	,	,	PUNCT
cana-541	82	5	𝐴𝑔	𝐴𝑔	ADJ
cana-541	82	6	particles	particle	NOUN
cana-541	82	7	are	be	AUX
cana-541	82	8	denser	dense	ADJ
cana-541	82	9	than	than	ADP
cana-541	82	10	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	82	11	nanoparticles	nanoparticle	NOUN
cana-541	82	12	.	.	PUNCT
cana-541	83	1	figure	figure	VERB
cana-541	83	2	1.2	1.2	NUM
cana-541	83	3	shows	show	VERB
cana-541	83	4	that	that	SCONJ
cana-541	83	5	the	the	DET
cana-541	83	6	viscosity	viscosity	NOUN
cana-541	83	7	is	be	AUX
cana-541	83	8	the	the	DET
cana-541	83	9	same	same	ADJ
cana-541	83	10	for	for	ADP
cana-541	83	11	both	both	CCONJ
cana-541	83	12	the	the	DET
cana-541	83	13	nanofluid	nanofluid	NOUN
cana-541	83	14	for	for	ADP
cana-541	83	15	a	a	DET
cana-541	83	16	fixed	fix	VERB
cana-541	83	17	volume	volume	NOUN
cana-541	83	18	fraction	fraction	NOUN
cana-541	83	19	.	.	PUNCT
cana-541	84	1	the	the	DET
cana-541	84	2	viscosity	viscosity	NOUN
cana-541	84	3	of	of	ADP
cana-541	84	4	the	the	DET
cana-541	84	5	nanofluid	nanofluid	NOUN
cana-541	84	6	is	be	AUX
cana-541	84	7	solely	solely	ADV
cana-541	84	8	depended	depend	VERB
cana-541	84	9	on	on	ADP
cana-541	84	10	the	the	DET
cana-541	84	11	viscosity	viscosity	NOUN
cana-541	84	12	of	of	ADP
cana-541	84	13	base	base	NOUN
cana-541	84	14	liquid	liquid	NOUN
cana-541	84	15	.	.	PUNCT
cana-541	85	1	further	far	ADV
cana-541	85	2	,	,	PUNCT
cana-541	85	3	the	the	DET
cana-541	85	4	nanofluid	nanofluid	NOUN
cana-541	85	5	’s	’s	PART
cana-541	85	6	viscosity	viscosity	NOUN
cana-541	85	7	is	be	AUX
cana-541	85	8	directly	directly	ADV
cana-541	85	9	proportional	proportional	ADJ
cana-541	85	10	to	to	PART
cana-541	85	11	volume	volume	NOUN
cana-541	85	12	fraction	fraction	NOUN
cana-541	85	13	.	.	PUNCT
cana-541	86	1	communications	communication	NOUN
cana-541	86	2	on	on	ADP
cana-541	86	3	applied	apply	VERB
cana-541	86	4	nonlinear	nonlinear	ADJ
cana-541	86	5	analysis	analysis	NOUN
cana-541	86	6	issn	issn	NOUN
cana-541	86	7	:	:	PUNCT
cana-541	86	8	1074	1074	NUM
cana-541	86	9	-	-	PUNCT
cana-541	86	10	133x	133x	NUM
cana-541	86	11	vol	vol	NOUN
cana-541	86	12	31	31	NUM
cana-541	86	13	no	no	NOUN
cana-541	86	14	.	.	NOUN
cana-541	86	15	2	2	NUM
cana-541	86	16	(	(	PUNCT
cana-541	86	17	2024	2024	NUM
cana-541	86	18	)	)	PUNCT
cana-541	86	19	264	264	NUM
cana-541	87	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	87	2	figure	figure	NOUN
cana-541	87	3	1.1	1.1	NUM
cana-541	87	4	:	:	PUNCT
cana-541	87	5	density	density	NOUN
cana-541	87	6	of	of	ADP
cana-541	87	7	𝑇𝑖𝑂2	𝑇𝑖𝑂2	PROPN
cana-541	87	8	-	-	PUNCT
cana-541	87	9	h2o	h2o	PROPN
cana-541	87	10	and	and	CCONJ
cana-541	87	11	𝐴𝑔h2o	𝐴𝑔h2o	PROPN
cana-541	87	12	nanofluids	nanofluid	VERB
cana-541	87	13	vs	vs	ADP
cana-541	87	14	𝜙	𝜙	DET
cana-541	87	15	figure	figure	NOUN
cana-541	87	16	1.2	1.2	NUM
cana-541	87	17	:	:	PUNCT
cana-541	87	18	viscosity	viscosity	NOUN
cana-541	87	19	of	of	ADP
cana-541	87	20	𝑇𝑖𝑂2h2o	𝑇𝑖𝑂2h2o	NOUN
cana-541	87	21	and	and	CCONJ
cana-541	87	22	𝐴𝑔h2o	𝐴𝑔h2o	NOUN
cana-541	87	23	nanofluids	nanofluid	VERB
cana-541	87	24	vs	vs	ADP
cana-541	87	25	𝜙	𝜙	PRON
cana-541	87	26	communications	communication	NOUN
cana-541	87	27	on	on	ADP
cana-541	87	28	applied	apply	VERB
cana-541	87	29	nonlinear	nonlinear	ADJ
cana-541	87	30	analysis	analysis	NOUN
cana-541	87	31	issn	issn	NOUN
cana-541	87	32	:	:	PUNCT
cana-541	87	33	1074	1074	NUM
cana-541	87	34	-	-	PUNCT
cana-541	87	35	133x	133x	NUM
cana-541	87	36	vol	vol	NOUN
cana-541	87	37	31	31	NUM
cana-541	87	38	no	no	NOUN
cana-541	87	39	.	.	NOUN
cana-541	87	40	2	2	NUM
cana-541	87	41	(	(	PUNCT
cana-541	87	42	2024	2024	NUM
cana-541	87	43	)	)	PUNCT
cana-541	87	44	265	265	NUM
cana-541	87	45	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	87	46	figure	figure	NOUN
cana-541	87	47	1.3	1.3	NUM
cana-541	87	48	:	:	PUNCT
cana-541	87	49	(	(	PUNCT
cana-541	87	50	𝐶𝑝	𝐶𝑝	PROPN
cana-541	87	51	)	)	PUNCT
cana-541	87	52	𝑛𝑓	𝑛𝑓	NOUN
cana-541	87	53	of	of	ADP
cana-541	87	54	𝑇𝑖𝑂2h2o	𝑇𝑖𝑂2h2o	NOUN
cana-541	87	55	and	and	CCONJ
cana-541	87	56	𝐴𝑔h2o	𝐴𝑔h2o	NOUN
cana-541	87	57	nanofluids	nanofluid	VERB
cana-541	87	58	vs	vs	ADP
cana-541	87	59	𝜙	𝜙	PRON
cana-541	87	60	the	the	DET
cana-541	87	61	variation	variation	NOUN
cana-541	87	62	specific	specific	ADJ
cana-541	87	63	heat	heat	NOUN
cana-541	87	64	capacity	capacity	NOUN
cana-541	87	65	(	(	PUNCT
cana-541	87	66	𝐶𝑝	𝐶𝑝	PROPN
cana-541	87	67	)	)	PUNCT
cana-541	87	68	𝑛𝑓	𝑛𝑓	NOUN
cana-541	87	69	of	of	ADP
cana-541	87	70	nanofluid	nanofluid	NOUN
cana-541	87	71	against	against	ADP
cana-541	87	72	the	the	DET
cana-541	87	73	volume	volume	NOUN
cana-541	87	74	fraction	fraction	NOUN
cana-541	87	75	is	be	AUX
cana-541	87	76	depicted	depict	VERB
cana-541	87	77	in	in	ADP
cana-541	87	78	figure	figure	NOUN
cana-541	87	79	1.3	1.3	NUM
cana-541	87	80	.	.	PUNCT
cana-541	88	1	it	it	PRON
cana-541	88	2	is	be	AUX
cana-541	88	3	evident	evident	ADJ
cana-541	88	4	that	that	SCONJ
cana-541	88	5	as	as	SCONJ
cana-541	88	6	the	the	DET
cana-541	88	7	volume	volume	NOUN
cana-541	88	8	fraction	fraction	NOUN
cana-541	88	9	increases	increase	NOUN
cana-541	88	10	,	,	PUNCT
cana-541	88	11	(	(	PUNCT
cana-541	88	12	𝐶𝑝	𝐶𝑝	PROPN
cana-541	88	13	)	)	PUNCT
cana-541	88	14	𝑛𝑓	𝑛𝑓	PROPN
cana-541	88	15	decreases	decrease	NOUN
cana-541	88	16	.	.	PUNCT
cana-541	89	1	also	also	ADV
cana-541	89	2	,	,	PUNCT
cana-541	89	3	the	the	DET
cana-541	89	4	decrease	decrease	NOUN
cana-541	89	5	is	be	AUX
cana-541	89	6	slightly	slightly	ADV
cana-541	89	7	more	more	ADJ
cana-541	89	8	for	for	ADP
cana-541	89	9	𝐴𝑔-water	𝐴𝑔-water	SCONJ
cana-541	89	10	nanofluid	nanofluid	ADJ
cana-541	89	11	.	.	PUNCT
cana-541	90	1	figure	figure	NOUN
cana-541	90	2	1.4	1.4	NUM
cana-541	90	3	gives	give	VERB
cana-541	90	4	the	the	DET
cana-541	90	5	variation	variation	NOUN
cana-541	90	6	in	in	ADP
cana-541	90	7	the	the	DET
cana-541	90	8	thermal	thermal	ADJ
cana-541	90	9	conductivity	conductivity	NOUN
cana-541	90	10	of	of	ADP
cana-541	90	11	nanofluids	nanofluid	NOUN
cana-541	90	12	with	with	ADP
cana-541	90	13	respect	respect	NOUN
cana-541	90	14	to	to	ADP
cana-541	90	15	the	the	DET
cana-541	90	16	volume	volume	NOUN
cana-541	90	17	fraction	fraction	NOUN
cana-541	90	18	of	of	ADP
cana-541	90	19	nanoparticles	nanoparticle	NOUN
cana-541	90	20	.	.	PUNCT
cana-541	91	1	the	the	DET
cana-541	91	2	data	datum	NOUN
cana-541	91	3	suggests	suggest	VERB
cana-541	91	4	that	that	SCONJ
cana-541	91	5	𝐴𝑔-water	𝐴𝑔-water	PUNCT
cana-541	91	6	nanofluid	nanofluid	NOUN
cana-541	91	7	exhibits	exhibit	VERB
cana-541	91	8	sufficiently	sufficiently	ADV
cana-541	91	9	greater	great	ADJ
cana-541	91	10	thermal	thermal	ADJ
cana-541	91	11	conductivity	conductivity	NOUN
cana-541	91	12	compared	compare	VERB
cana-541	91	13	to	to	ADP
cana-541	91	14	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	91	15	-	-	PUNCT
cana-541	91	16	water	water	NOUN
cana-541	91	17	nanofluid	nanofluid	NOUN
cana-541	91	18	.	.	PUNCT
cana-541	92	1	further	far	ADV
cana-541	92	2	,	,	PUNCT
cana-541	92	3	𝑘𝑛𝑓	𝑘𝑛𝑓	NOUN
cana-541	92	4	increases	increase	NOUN
cana-541	92	5	with	with	ADP
cana-541	92	6	the	the	DET
cana-541	92	7	increase	increase	NOUN
cana-541	92	8	in	in	ADP
cana-541	92	9	𝜙.	𝜙.	NOUN
cana-541	92	10	the	the	DET
cana-541	92	11	variation	variation	NOUN
cana-541	92	12	in	in	ADP
cana-541	92	13	the	the	DET
cana-541	92	14	prandtl	prandtl	NOUN
cana-541	92	15	number	number	NOUN
cana-541	92	16	of	of	ADP
cana-541	92	17	different	different	ADJ
cana-541	92	18	nanofluids	nanofluid	NOUN
cana-541	92	19	against	against	ADP
cana-541	92	20	𝜙	𝜙	PROPN
cana-541	92	21	is	be	AUX
cana-541	92	22	depicted	depict	VERB
cana-541	92	23	in	in	ADP
cana-541	92	24	figure	figure	NOUN
cana-541	92	25	1.5	1.5	NUM
cana-541	92	26	.	.	PUNCT
cana-541	93	1	it	it	PRON
cana-541	93	2	is	be	AUX
cana-541	93	3	clear	clear	ADJ
cana-541	93	4	that	that	SCONJ
cana-541	93	5	𝑃𝑟	𝑃𝑟	PROPN
cana-541	93	6	decreases	decrease	VERB
cana-541	93	7	with	with	ADP
cana-541	93	8	the	the	DET
cana-541	93	9	increase	increase	NOUN
cana-541	93	10	in	in	ADP
cana-541	93	11	𝜙.	𝜙.	NOUN
cana-541	93	12	𝐴𝑔-water	𝐴𝑔-water	PUNCT
cana-541	93	13	nanofluid	nanofluid	PROPN
cana-541	93	14	shows	show	VERB
cana-541	93	15	much	much	ADV
cana-541	93	16	more	more	ADJ
cana-541	93	17	decrease	decrease	NOUN
cana-541	93	18	in	in	ADP
cana-541	93	19	𝑃𝑟	𝑃𝑟	PROPN
cana-541	93	20	with	with	ADP
cana-541	93	21	increasing	increase	VERB
cana-541	93	22	𝜙	𝜙	NOUN
cana-541	93	23	,	,	PUNCT
cana-541	93	24	as	as	ADP
cana-541	93	25	compared	compare	VERB
cana-541	93	26	to	to	ADP
cana-541	93	27	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	93	28	-	-	PUNCT
cana-541	93	29	water	water	NOUN
cana-541	93	30	nanofluid	nanofluid	NOUN
cana-541	93	31	.	.	PUNCT
cana-541	94	1	figure	figure	VERB
cana-541	94	2	1.4	1.4	NUM
cana-541	94	3	:	:	PUNCT
cana-541	94	4	thermal	thermal	ADJ
cana-541	94	5	conductivity	conductivity	NOUN
cana-541	94	6	of	of	ADP
cana-541	94	7	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	94	8	-	-	PUNCT
cana-541	94	9	h2o	h2o	PROPN
cana-541	94	10	and	and	CCONJ
cana-541	94	11	𝐴𝑔h2o	𝐴𝑔h2o	PROPN
cana-541	94	12	nanofluids	nanofluid	VERB
cana-541	94	13	vs	vs	ADP
cana-541	94	14	𝜙	𝜙	PRON
cana-541	94	15	communications	communication	NOUN
cana-541	94	16	on	on	ADP
cana-541	94	17	applied	apply	VERB
cana-541	94	18	nonlinear	nonlinear	ADJ
cana-541	94	19	analysis	analysis	NOUN
cana-541	94	20	issn	issn	NOUN
cana-541	94	21	:	:	PUNCT
cana-541	94	22	1074	1074	NUM
cana-541	94	23	-	-	PUNCT
cana-541	94	24	133x	133x	NUM
cana-541	94	25	vol	vol	NOUN
cana-541	94	26	31	31	NUM
cana-541	94	27	no	no	NOUN
cana-541	94	28	.	.	NOUN
cana-541	94	29	2	2	NUM
cana-541	94	30	(	(	PUNCT
cana-541	94	31	2024	2024	NUM
cana-541	94	32	)	)	PUNCT
cana-541	94	33	266	266	NUM
cana-541	94	34	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	94	35	figure	figure	NOUN
cana-541	94	36	1.5	1.5	NUM
cana-541	94	37	:	:	PUNCT
cana-541	94	38	prandtl	prandtl	NOUN
cana-541	94	39	number	number	NOUN
cana-541	94	40	of	of	ADP
cana-541	94	41	𝑇𝑖𝑂2h2o	𝑇𝑖𝑂2h2o	NOUN
cana-541	94	42	and	and	CCONJ
cana-541	94	43	agh2o	agh2o	NOUN
cana-541	94	44	nanofluids	nanofluid	VERB
cana-541	94	45	vs	vs	ADP
cana-541	94	46	𝜙	𝜙	DET
cana-541	94	47	figure	figure	NOUN
cana-541	94	48	1.6(a	1.6(a	NUM
cana-541	94	49	):	):	PUNCT
cana-541	94	50	change	change	NOUN
cana-541	94	51	in	in	ADP
cana-541	94	52	velocity	velocity	NOUN
cana-541	94	53	profile	profile	NOUN
cana-541	94	54	of	of	ADP
cana-541	94	55	two	two	NUM
cana-541	94	56	nanofluids	nanofluid	NOUN
cana-541	94	57	for	for	ADP
cana-541	94	58	𝜙	𝜙	NOUN
cana-541	94	59	=	=	SYM
cana-541	94	60	0.04	0.04	NUM
cana-541	94	61	communications	communication	NOUN
cana-541	94	62	on	on	ADP
cana-541	94	63	applied	apply	VERB
cana-541	94	64	nonlinear	nonlinear	ADJ
cana-541	94	65	analysis	analysis	NOUN
cana-541	94	66	issn	issn	NOUN
cana-541	94	67	:	:	PUNCT
cana-541	94	68	1074	1074	NUM
cana-541	94	69	-	-	PUNCT
cana-541	94	70	133x	133x	NUM
cana-541	94	71	vol	vol	NOUN
cana-541	94	72	31	31	NUM
cana-541	94	73	no	no	NOUN
cana-541	94	74	.	.	NOUN
cana-541	94	75	2	2	NUM
cana-541	94	76	(	(	PUNCT
cana-541	94	77	2024	2024	NUM
cana-541	94	78	)	)	PUNCT
cana-541	94	79	267	267	NUM
cana-541	94	80	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	94	81	figure	figure	NOUN
cana-541	94	82	1.6(b	1.6(b	NUM
cana-541	94	83	):	):	PUNCT
cana-541	94	84	change	change	NOUN
cana-541	94	85	in	in	ADP
cana-541	94	86	velocity	velocity	NOUN
cana-541	94	87	profile	profile	NOUN
cana-541	94	88	of	of	ADP
cana-541	94	89	two	two	NUM
cana-541	94	90	nanofluids	nanofluid	NOUN
cana-541	94	91	for	for	ADP
cana-541	94	92	𝜙	𝜙	NOUN
cana-541	94	93	=	=	SYM
cana-541	94	94	0.07	0.07	NUM
cana-541	94	95	the	the	DET
cana-541	94	96	change	change	NOUN
cana-541	94	97	in	in	ADP
cana-541	94	98	the	the	DET
cana-541	94	99	velocity	velocity	NOUN
cana-541	94	100	profile	profile	NOUN
cana-541	94	101	for	for	ADP
cana-541	94	102	both	both	CCONJ
cana-541	94	103	the	the	DET
cana-541	94	104	nanofluids	nanofluid	NOUN
cana-541	94	105	at	at	ADP
cana-541	94	106	fixed	fix	VERB
cana-541	94	107	volume	volume	NOUN
cana-541	94	108	fraction	fraction	NOUN
cana-541	94	109	values	value	NOUN
cana-541	94	110	(	(	PUNCT
cana-541	94	111	𝜙	𝜙	X
cana-541	94	112	=	=	SYM
cana-541	94	113	0.04	0.04	NUM
cana-541	94	114	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
cana-541	94	115	𝜙	𝜙	NOUN
cana-541	94	116	=	=	NOUN
cana-541	94	117	0.07	0.07	NUM
cana-541	94	118	)	)	PUNCT
cana-541	94	119	are	be	AUX
cana-541	94	120	displayed	display	VERB
cana-541	94	121	in	in	ADP
cana-541	94	122	figure	figure	NOUN
cana-541	94	123	1.6(a	1.6(a	NUM
cana-541	94	124	)	)	PUNCT
cana-541	94	125	and	and	CCONJ
cana-541	94	126	figure	figure	VERB
cana-541	94	127	1.6(b	1.6(b	NUM
cana-541	94	128	)	)	PUNCT
cana-541	94	129	,	,	PUNCT
cana-541	94	130	respectively	respectively	ADV
cana-541	94	131	.	.	PUNCT
cana-541	95	1	figures	figure	NOUN
cana-541	95	2	shows	show	VERB
cana-541	95	3	that	that	SCONJ
cana-541	95	4	,	,	PUNCT
cana-541	95	5	the	the	DET
cana-541	95	6	velocity	velocity	NOUN
cana-541	95	7	profile	profile	NOUN
cana-541	95	8	is	be	AUX
cana-541	95	9	slightly	slightly	ADV
cana-541	95	10	more	more	ADJ
cana-541	95	11	for	for	ADP
cana-541	95	12	the	the	DET
cana-541	95	13	𝐴𝑔-water	𝐴𝑔-wat	ADJ
cana-541	95	14	nanofluid	nanofluid	NOUN
cana-541	95	15	when	when	SCONJ
cana-541	95	16	compared	compare	VERB
cana-541	95	17	with	with	ADP
cana-541	95	18	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	95	19	-	-	PUNCT
cana-541	95	20	water	water	NOUN
cana-541	95	21	nanofluid	nanofluid	NOUN
cana-541	95	22	.	.	PUNCT
cana-541	96	1	the	the	DET
cana-541	96	2	table	table	NOUN
cana-541	96	3	1.3	1.3	NUM
cana-541	96	4	offers	offer	VERB
cana-541	96	5	another	another	DET
cana-541	96	6	perspective	perspective	NOUN
cana-541	96	7	on	on	ADP
cana-541	96	8	how	how	SCONJ
cana-541	96	9	the	the	DET
cana-541	96	10	non	non	ADJ
cana-541	96	11	-	-	ADJ
cana-541	96	12	dimensional	dimensional	ADJ
cana-541	96	13	skin	skin	NOUN
cana-541	96	14	friction	friction	NOUN
cana-541	96	15	coefficient	coefficient	NOUN
cana-541	96	16	changes	change	NOUN
cana-541	96	17	for	for	ADP
cana-541	96	18	both	both	DET
cana-541	96	19	nanofluids	nanofluid	NOUN
cana-541	96	20	as	as	SCONJ
cana-541	96	21	the	the	DET
cana-541	96	22	volume	volume	NOUN
cana-541	96	23	fraction	fraction	NOUN
cana-541	96	24	varies	vary	VERB
cana-541	96	25	.	.	PUNCT
cana-541	97	1	the	the	DET
cana-541	97	2	trend	trend	NOUN
cana-541	97	3	shows	show	VERB
cana-541	97	4	that	that	SCONJ
cana-541	97	5	with	with	ADP
cana-541	97	6	higher	high	ADJ
cana-541	97	7	volume	volume	NOUN
cana-541	97	8	fraction	fraction	NOUN
cana-541	97	9			NOUN
cana-541	97	10	,	,	PUNCT
cana-541	97	11	there	there	PRON
cana-541	97	12	is	be	VERB
cana-541	97	13	a	a	DET
cana-541	97	14	noticeable	noticeable	ADJ
cana-541	97	15	increase	increase	NOUN
cana-541	97	16	in	in	ADP
cana-541	97	17	the	the	DET
cana-541	97	18	skin	skin	NOUN
cana-541	97	19	friction	friction	NOUN
cana-541	97	20	coefficient	coefficient	NOUN
cana-541	97	21	.	.	PUNCT
cana-541	98	1	additionally	additionally	ADV
cana-541	98	2	,	,	PUNCT
cana-541	98	3	the	the	DET
cana-541	98	4	skin	skin	NOUN
cana-541	98	5	friction	friction	NOUN
cana-541	98	6	coefficient	coefficient	NOUN
cana-541	98	7	is	be	AUX
cana-541	98	8	higher	high	ADJ
cana-541	98	9	for	for	ADP
cana-541	98	10	𝐴𝑔-water	𝐴𝑔-water	PUNCT
cana-541	98	11	nanofluid	nanofluid	NOUN
cana-541	98	12	as	as	ADP
cana-541	98	13	compared	compare	VERB
cana-541	98	14	to	to	ADP
cana-541	98	15	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	98	16	-	-	PUNCT
cana-541	98	17	water	water	NOUN
cana-541	98	18	nanofluid	nanofluid	NOUN
cana-541	98	19	.	.	PUNCT
cana-541	99	1	table	table	NOUN
cana-541	99	2	1.3	1.3	NUM
cana-541	99	3	:	:	PUNCT
cana-541	99	4	skin	skin	NOUN
cana-541	99	5	friction	friction	NOUN
cana-541	99	6	coefficient	coefficient	NOUN
cana-541	99	7	𝝓	𝝓	ADP
cana-541	99	8	𝑻𝒊𝑶𝟐-water	𝑻𝒊𝑶𝟐-water	NOUN
cana-541	99	9	nanofluid	nanofluid	NOUN
cana-541	99	10	𝑨𝒈-water	𝑨𝒈-water	ADV
cana-541	99	11	nanofluid	nanofluid	NOUN
cana-541	99	12	0.01	0.01	NUM
cana-541	99	13	0.34578	0.34578	NUM
cana-541	100	1	0.35508	0.35508	NUM
cana-541	100	2	0.02	0.02	NUM
cana-541	100	3	0.35557	0.35557	NUM
cana-541	100	4	0.37407	0.37407	NUM
cana-541	100	5	0.03	0.03	NUM
cana-541	100	6	0.36554	0.36554	NUM
cana-541	100	7	0.39313	0.39313	NUM
cana-541	100	8	0.04	0.04	NUM
cana-541	100	9	0.3757	0.3757	NUM
cana-541	100	10	0.41227	0.41227	NUM
cana-541	100	11	0.05	0.05	NUM
cana-541	100	12	0.38606	0.38606	NUM
cana-541	100	13	0.43151	0.43151	NUM
cana-541	100	14	the	the	DET
cana-541	100	15	variation	variation	NOUN
cana-541	100	16	in	in	ADP
cana-541	100	17	the	the	DET
cana-541	100	18	nusselt	nusselt	NOUN
cana-541	100	19	number	number	NOUN
cana-541	100	20	for	for	ADP
cana-541	100	21	the	the	DET
cana-541	100	22	two	two	NUM
cana-541	100	23	nanofluids	nanofluid	NOUN
cana-541	100	24	is	be	AUX
cana-541	100	25	displayed	display	VERB
cana-541	100	26	in	in	ADP
cana-541	100	27	table	table	NOUN
cana-541	100	28	1.4	1.4	NUM
cana-541	100	29	.	.	PUNCT
cana-541	101	1	there	there	PRON
cana-541	101	2	is	be	VERB
cana-541	101	3	a	a	DET
cana-541	101	4	noted	noted	ADJ
cana-541	101	5	increase	increase	NOUN
cana-541	101	6	in	in	ADP
cana-541	101	7	the	the	DET
cana-541	101	8	nusselt	nusselt	NOUN
cana-541	101	9	number	number	NOUN
cana-541	101	10	as	as	ADP
cana-541	101	11	𝜙	𝜙	DET
cana-541	101	12	increases	increase	NOUN
cana-541	101	13	.	.	PUNCT
cana-541	102	1	the	the	DET
cana-541	102	2	nusselt	nusselt	NOUN
cana-541	102	3	number	number	NOUN
cana-541	102	4	is	be	AUX
cana-541	102	5	more	more	ADJ
cana-541	102	6	for	for	ADP
cana-541	102	7	𝐴𝑔-water	𝐴𝑔-water	PUNCT
cana-541	102	8	nanofluid	nanofluid	NOUN
cana-541	102	9	for	for	ADP
cana-541	102	10	a	a	DET
cana-541	102	11	fixed	fix	VERB
cana-541	102	12	volume	volume	NOUN
cana-541	102	13	fraction	fraction	NOUN
cana-541	102	14	of	of	ADP
cana-541	102	15	nanoparticle	nanoparticle	NOUN
cana-541	102	16	.	.	PUNCT
cana-541	103	1	communications	communication	NOUN
cana-541	103	2	on	on	ADP
cana-541	103	3	applied	apply	VERB
cana-541	103	4	nonlinear	nonlinear	ADJ
cana-541	103	5	analysis	analysis	NOUN
cana-541	103	6	issn	issn	NOUN
cana-541	103	7	:	:	PUNCT
cana-541	103	8	1074	1074	NUM
cana-541	103	9	-	-	PUNCT
cana-541	103	10	133x	133x	NUM
cana-541	103	11	vol	vol	NOUN
cana-541	103	12	31	31	NUM
cana-541	103	13	no	no	NOUN
cana-541	103	14	.	.	NOUN
cana-541	103	15	2	2	NUM
cana-541	103	16	(	(	PUNCT
cana-541	103	17	2024	2024	NUM
cana-541	103	18	)	)	PUNCT
cana-541	103	19	268	268	NUM
cana-541	103	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	103	21	table	table	NOUN
cana-541	103	22	1.4	1.4	NUM
cana-541	103	23	:	:	PUNCT
cana-541	103	24	local	local	ADJ
cana-541	103	25	nusselt	nusselt	NOUN
cana-541	103	26	number	number	NOUN
cana-541	103	27	𝝓	𝝓	ADP
cana-541	103	28	𝑻𝒊𝑶𝟐-water	𝑻𝒊𝑶𝟐-water	NOUN
cana-541	103	29	nanofluid	nanofluid	NOUN
cana-541	103	30	𝑨𝒈-water	𝑨𝒈-water	ADV
cana-541	103	31	nanofluid	nanofluid	NOUN
cana-541	103	32	0.01	0.01	NUM
cana-541	103	33	0.66578	0.66578	NUM
cana-541	104	1	0.68716	0.68716	NUM
cana-541	104	2	0.02	0.02	NUM
cana-541	104	3	0.68234	0.68234	NUM
cana-541	104	4	0.72464	0.72464	NUM
cana-541	104	5	0.03	0.03	NUM
cana-541	104	6	0.69887	0.69887	NUM
cana-541	104	7	0.7617	0.7617	NUM
cana-541	104	8	0.04	0.04	NUM
cana-541	104	9	0.71536	0.71536	NUM
cana-541	104	10	0.79839	0.79839	NUM
cana-541	104	11	0.05	0.05	NUM
cana-541	104	12	0.73182	0.73182	NUM
cana-541	104	13	0.83474	0.83474	NUM
cana-541	104	14	5	5	NUM
cana-541	104	15	.	.	PUNCT
cana-541	104	16	discussion	discussion	VERB
cana-541	104	17	the	the	DET
cana-541	104	18	effect	effect	NOUN
cana-541	104	19	of	of	ADP
cana-541	104	20	𝑇𝑖𝑂2	𝑇𝑖𝑂2	NOUN
cana-541	104	21	-	-	PUNCT
cana-541	104	22	water	water	NOUN
cana-541	104	23	and	and	CCONJ
cana-541	104	24	𝐴𝑔-water	𝐴𝑔-water	ADV
cana-541	104	25	nanofluids	nanofluid	NOUN
cana-541	104	26	is	be	AUX
cana-541	104	27	investigated	investigate	VERB
cana-541	104	28	.	.	PUNCT
cana-541	105	1	this	this	DET
cana-541	105	2	investigation	investigation	NOUN
cana-541	105	3	focuses	focus	VERB
cana-541	105	4	on	on	ADP
cana-541	105	5	a	a	DET
cana-541	105	6	two	two	NUM
cana-541	105	7	-	-	PUNCT
cana-541	105	8	dimensional	dimensional	ADJ
cana-541	105	9	forced	force	VERB
cana-541	105	10	convective	convective	NOUN
cana-541	105	11	,	,	PUNCT
cana-541	105	12	laminar	laminar	ADJ
cana-541	105	13	,	,	PUNCT
cana-541	105	14	nonlinear	nonlinear	ADJ
cana-541	105	15	boundary	boundary	ADJ
cana-541	105	16	layer	layer	NOUN
cana-541	105	17	flow	flow	NOUN
cana-541	105	18	over	over	ADP
cana-541	105	19	a	a	DET
cana-541	105	20	flat	flat	ADJ
cana-541	105	21	plate	plate	NOUN
cana-541	105	22	.	.	PUNCT
cana-541	106	1	observations	observation	NOUN
cana-541	106	2	reveal	reveal	VERB
cana-541	106	3	alterations	alteration	NOUN
cana-541	106	4	in	in	ADP
cana-541	106	5	both	both	CCONJ
cana-541	106	6	the	the	DET
cana-541	106	7	thermal	thermal	ADJ
cana-541	106	8	and	and	CCONJ
cana-541	106	9	velocity	velocity	NOUN
cana-541	106	10	fields	field	NOUN
cana-541	106	11	.	.	PUNCT
cana-541	107	1	additionally	additionally	ADV
cana-541	107	2	,	,	PUNCT
cana-541	107	3	variations	variation	NOUN
cana-541	107	4	are	be	AUX
cana-541	107	5	observed	observe	VERB
cana-541	107	6	in	in	ADP
cana-541	107	7	the	the	DET
cana-541	107	8	skin	skin	NOUN
cana-541	107	9	friction	friction	NOUN
cana-541	107	10	coefficient	coefficient	NOUN
cana-541	107	11	and	and	CCONJ
cana-541	107	12	nusselt	nusselt	VERB
cana-541	107	13	number	number	NOUN
cana-541	107	14	across	across	ADP
cana-541	107	15	different	different	ADJ
cana-541	107	16	nanoparticles	nanoparticle	NOUN
cana-541	107	17	.	.	PUNCT
cana-541	108	1	it	it	PRON
cana-541	108	2	's	be	AUX
cana-541	108	3	evident	evident	ADJ
cana-541	108	4	from	from	ADP
cana-541	108	5	the	the	DET
cana-541	108	6	research	research	NOUN
cana-541	108	7	that	that	PRON
cana-541	108	8	silver	silver	ADJ
cana-541	108	9	water	water	NOUN
cana-541	108	10	nanofluid	nanofluid	NOUN
cana-541	108	11	surpasses	surpass	VERB
cana-541	108	12	titanium	titanium	NOUN
cana-541	108	13	dioxide	dioxide	NOUN
cana-541	108	14	water	water	NOUN
cana-541	108	15	nanofluid	nanofluid	PROPN
cana-541	108	16	in	in	ADP
cana-541	108	17	terms	term	NOUN
cana-541	108	18	of	of	ADP
cana-541	108	19	thermal	thermal	ADJ
cana-541	108	20	conductivity	conductivity	NOUN
cana-541	108	21	and	and	CCONJ
cana-541	108	22	heat	heat	NOUN
cana-541	108	23	transfer	transfer	NOUN
cana-541	108	24	rate	rate	NOUN
cana-541	108	25	.	.	PUNCT
cana-541	109	1	moreover	moreover	ADV
cana-541	109	2	,	,	PUNCT
cana-541	109	3	the	the	DET
cana-541	109	4	physical	physical	ADJ
cana-541	109	5	attributes	attribute	NOUN
cana-541	109	6	like	like	ADP
cana-541	109	7	viscosity	viscosity	NOUN
cana-541	109	8	,	,	PUNCT
cana-541	109	9	density	density	NOUN
cana-541	109	10	,	,	PUNCT
cana-541	109	11	and	and	CCONJ
cana-541	109	12	thermal	thermal	ADJ
cana-541	109	13	conductivity	conductivity	NOUN
cana-541	109	14	of	of	ADP
cana-541	109	15	nanofluids	nanofluid	NOUN
cana-541	109	16	escalate	escalate	VERB
cana-541	109	17	proportionally	proportionally	ADV
cana-541	109	18	with	with	ADP
cana-541	109	19	the	the	DET
cana-541	109	20	volume	volume	NOUN
cana-541	109	21	fraction	fraction	NOUN
cana-541	109	22	of	of	ADP
cana-541	109	23	nanoparticles	nanoparticle	NOUN
cana-541	109	24	.	.	PUNCT
cana-541	110	1	conversely	conversely	ADV
cana-541	110	2	,	,	PUNCT
cana-541	110	3	specific	specific	ADJ
cana-541	110	4	heat	heat	NOUN
cana-541	110	5	capacity	capacity	NOUN
cana-541	110	6	and	and	CCONJ
cana-541	110	7	prandtl	prandtl	NOUN
cana-541	110	8	number	number	NOUN
cana-541	110	9	exhibit	exhibit	VERB
cana-541	110	10	an	an	DET
cana-541	110	11	inverse	inverse	NOUN
cana-541	110	12	relationship	relationship	NOUN
cana-541	110	13	with	with	ADP
cana-541	110	14	the	the	DET
cana-541	110	15	volume	volume	NOUN
cana-541	110	16	fraction	fraction	NOUN
cana-541	110	17	of	of	ADP
cana-541	110	18	nanoparticles	nanoparticle	NOUN
cana-541	110	19	,	,	PUNCT
cana-541	110	20	decreasing	decrease	VERB
cana-541	110	21	as	as	SCONJ
cana-541	110	22	it	it	PRON
cana-541	110	23	increases	increase	VERB
cana-541	110	24	.	.	PUNCT
cana-541	111	1	acknowledgement	acknowledgement	PROPN
cana-541	111	2	julie	julie	PROPN
cana-541	111	3	andrews	andrews	PROPN
cana-541	111	4	and	and	CCONJ
cana-541	111	5	team	team	PROPN
cana-541	111	6	thank	thank	PROPN
cana-541	111	7	st	st	PROPN
cana-541	111	8	thomas	thomas	PROPN
cana-541	111	9	’	'	PUNCT
cana-541	111	10	college	college	PROPN
cana-541	111	11	(	(	PUNCT
cana-541	111	12	autonomous	autonomous	ADJ
cana-541	111	13	)	)	PUNCT
cana-541	111	14	,	,	PUNCT
cana-541	111	15	thrissur	thrissur	NOUN
cana-541	111	16	for	for	ADP
cana-541	111	17	providing	provide	VERB
cana-541	111	18	santhome	santhome	PROPN
cana-541	111	19	research	research	NOUN
cana-541	111	20	project	project	NOUN
cana-541	111	21	seed	seed	NOUN
cana-541	111	22	money	money	NOUN
cana-541	111	23	.	.	PUNCT
cana-541	112	1	references	reference	NOUN
cana-541	112	2	[	[	X
cana-541	112	3	1	1	NUM
cana-541	112	4	]	]	X
cana-541	112	5	s.u.s	s.u.s	PROPN
cana-541	112	6	.	.	PROPN
cana-541	112	7	choi	choi	PROPN
cana-541	112	8	,	,	PUNCT
cana-541	112	9	j.a	j.a	PROPN
cana-541	112	10	.	.	PROPN
cana-541	112	11	eastman	eastman	PROPN
cana-541	112	12	,	,	PUNCT
cana-541	112	13	enhancing	enhance	VERB
cana-541	112	14	thermal	thermal	ADJ
cana-541	112	15	conductivity	conductivity	NOUN
cana-541	112	16	of	of	ADP
cana-541	112	17	fluids	fluid	NOUN
cana-541	112	18	with	with	ADP
cana-541	112	19	nanoparticles	nanoparticle	NOUN
cana-541	112	20	,	,	PUNCT
cana-541	112	21	argonne	argonne	PROPN
cana-541	112	22	national	national	PROPN
cana-541	112	23	lab.(anl	lab.(anl	PROPN
cana-541	112	24	)	)	PUNCT
cana-541	112	25	,	,	PUNCT
cana-541	112	26	argonne	argonne	PROPN
cana-541	112	27	,	,	PUNCT
cana-541	112	28	il	il	PROPN
cana-541	112	29	(	(	PUNCT
cana-541	112	30	united	united	PROPN
cana-541	112	31	states	states	PROPN
cana-541	112	32	)	)	PUNCT
cana-541	112	33	,	,	PUNCT
cana-541	112	34	1995	1995	NUM
cana-541	112	35	.	.	PUNCT
cana-541	113	1	[	[	X
cana-541	113	2	2	2	NUM
cana-541	113	3	]	]	X
cana-541	113	4	r.	r.	PROPN
cana-541	113	5	chein	chein	PROPN
cana-541	113	6	,	,	PUNCT
cana-541	113	7	g.	g.	PROPN
cana-541	113	8	huang	huang	PROPN
cana-541	113	9	,	,	PUNCT
cana-541	113	10	thermoelectric	thermoelectric	ADJ
cana-541	113	11	cooler	cooler	NOUN
cana-541	113	12	application	application	NOUN
cana-541	113	13	in	in	ADP
cana-541	113	14	electronic	electronic	ADJ
cana-541	113	15	cooling	cooling	NOUN
cana-541	113	16	,	,	PUNCT
cana-541	113	17	appl	appl	PROPN
cana-541	113	18	.	.	PROPN
cana-541	113	19	therm	therm	PROPN
cana-541	113	20	.	.	PUNCT
cana-541	114	1	eng	eng	PROPN
cana-541	114	2	.	.	PROPN
cana-541	114	3	24	24	NUM
cana-541	114	4	(	(	PUNCT
cana-541	114	5	2004	2004	NUM
cana-541	114	6	)	)	PUNCT
cana-541	114	7	2207–2217	2207–2217	NUM
cana-541	114	8	.	.	PUNCT
cana-541	115	1	https://doi.org/https://doi.org/10.1016/j.applthermaleng.2004.03.001	https://doi.org/https://doi.org/10.1016/j.applthermaleng.2004.03.001	VERB
cana-541	115	2	.	.	PUNCT
cana-541	116	1	[	[	X
cana-541	116	2	3	3	X
cana-541	116	3	]	]	X
cana-541	116	4	y.	y.	PROPN
cana-541	116	5	xuan	xuan	PROPN
cana-541	116	6	,	,	PUNCT
cana-541	116	7	w.	w.	PROPN
cana-541	116	8	roetzel	roetzel	PROPN
cana-541	116	9	,	,	PUNCT
cana-541	116	10	conceptions	conception	NOUN
cana-541	116	11	for	for	ADP
cana-541	116	12	heat	heat	NOUN
cana-541	116	13	transfer	transfer	NOUN
cana-541	116	14	correlation	correlation	NOUN
cana-541	116	15	of	of	ADP
cana-541	116	16	nanofluids	nanofluid	NOUN
cana-541	116	17	,	,	PUNCT
cana-541	116	18	int	int	NOUN
cana-541	116	19	.	.	PUNCT
cana-541	117	1	j.	j.	PROPN
cana-541	117	2	heat	heat	PROPN
cana-541	117	3	mass	mass	PROPN
cana-541	117	4	transf	transf	NOUN
cana-541	117	5	.	.	PUNCT
cana-541	118	1	43	43	NUM
cana-541	118	2	(	(	PUNCT
cana-541	118	3	2000	2000	NUM
cana-541	118	4	)	)	PUNCT
cana-541	118	5	3701–3707	3701–3707	NUM
cana-541	118	6	.	.	PUNCT
cana-541	119	1	https://doi.org/https://doi.org/10.1016/s0017-9310(99)00369-5	https://doi.org/https://doi.org/10.1016/s0017-9310(99)00369-5	PROPN
cana-541	119	2	.	.	PUNCT
cana-541	120	1	[	[	X
cana-541	120	2	4	4	NUM
cana-541	120	3	]	]	X
cana-541	120	4	y.	y.	PROPN
cana-541	120	5	xuan	xuan	PROPN
cana-541	120	6	,	,	PUNCT
cana-541	120	7	q.	q.	PROPN
cana-541	120	8	li	li	PROPN
cana-541	120	9	,	,	PUNCT
cana-541	120	10	investigation	investigation	NOUN
cana-541	120	11	on	on	ADP
cana-541	120	12	convective	convective	ADJ
cana-541	120	13	heat	heat	NOUN
cana-541	120	14	transfer	transfer	NOUN
cana-541	120	15	and	and	CCONJ
cana-541	120	16	flow	flow	NOUN
cana-541	120	17	features	feature	NOUN
cana-541	120	18	of	of	ADP
cana-541	120	19	nanofluids	nanofluid	NOUN
cana-541	120	20	,	,	PUNCT
cana-541	120	21	j.	j.	PROPN
cana-541	120	22	heat	heat	PROPN
cana-541	120	23	transfer	transfer	NOUN
cana-541	120	24	125	125	NUM
cana-541	120	25	(	(	PUNCT
cana-541	120	26	2003	2003	NUM
cana-541	120	27	)	)	PUNCT
cana-541	120	28	151–155	151–155	NUM
cana-541	120	29	.	.	PUNCT
cana-541	120	30	https://doi.org/10.1115/1.1532008	https://doi.org/10.1115/1.1532008	NOUN
cana-541	120	31	.	.	PUNCT
cana-541	121	1	[	[	X
cana-541	121	2	5	5	NUM
cana-541	121	3	]	]	PUNCT
cana-541	121	4	a.r.i	a.r.i	PROPN
cana-541	121	5	.	.	PROPN
cana-541	121	6	ali	ali	PROPN
cana-541	121	7	,	,	PUNCT
cana-541	121	8	b.	b.	PROPN
cana-541	121	9	salam	salam	PROPN
cana-541	121	10	,	,	PUNCT
cana-541	121	11	a	a	DET
cana-541	121	12	review	review	NOUN
cana-541	121	13	on	on	ADP
cana-541	121	14	nanofluid	nanofluid	NOUN
cana-541	121	15	:	:	PUNCT
cana-541	121	16	preparation	preparation	NOUN
cana-541	121	17	,	,	PUNCT
cana-541	121	18	stability	stability	NOUN
cana-541	121	19	,	,	PUNCT
cana-541	121	20	thermophysical	thermophysical	ADJ
cana-541	121	21	properties	property	NOUN
cana-541	121	22	,	,	PUNCT
cana-541	121	23	heat	heat	NOUN
cana-541	121	24	transfer	transfer	NOUN
cana-541	121	25	characteristics	characteristic	NOUN
cana-541	121	26	and	and	CCONJ
cana-541	121	27	application	application	NOUN
cana-541	121	28	,	,	PUNCT
cana-541	121	29	sn	sn	PROPN
cana-541	121	30	appl	appl	PROPN
cana-541	121	31	.	.	PUNCT
cana-541	122	1	sci	sci	PROPN
cana-541	122	2	.	.	PROPN
cana-541	122	3	2	2	NUM
cana-541	122	4	(	(	PUNCT
cana-541	122	5	2020	2020	NUM
cana-541	122	6	)	)	PUNCT
cana-541	122	7	1636	1636	NUM
cana-541	122	8	.	.	PUNCT
cana-541	123	1	https://doi.org/10.1007/s42452-02003427-1	https://doi.org/10.1007/s42452-02003427-1	PROPN
cana-541	123	2	.	.	PUNCT
cana-541	124	1	[	[	X
cana-541	124	2	6	6	NUM
cana-541	124	3	]	]	PUNCT
cana-541	124	4	r.	r.	PROPN
cana-541	124	5	chein	chein	PROPN
cana-541	124	6	,	,	PUNCT
cana-541	124	7	g.	g.	PROPN
cana-541	124	8	huang	huang	PROPN
cana-541	124	9	,	,	PUNCT
cana-541	124	10	analysis	analysis	NOUN
cana-541	124	11	of	of	ADP
cana-541	124	12	microchannel	microchannel	PROPN
cana-541	124	13	heat	heat	PROPN
cana-541	124	14	sink	sink	NOUN
cana-541	124	15	performance	performance	NOUN
cana-541	124	16	using	use	VERB
cana-541	124	17	nanofluids	nanofluid	NOUN
cana-541	124	18	,	,	PUNCT
cana-541	124	19	appl	appl	PROPN
cana-541	125	1	.	.	PROPN
cana-541	125	2	therm	therm	PROPN
cana-541	125	3	.	.	PUNCT
cana-541	126	1	eng	eng	PROPN
cana-541	126	2	.	.	PROPN
cana-541	126	3	25	25	NUM
cana-541	126	4	(	(	PUNCT
cana-541	126	5	2005	2005	NUM
cana-541	126	6	)	)	PUNCT
cana-541	126	7	3104–3114	3104–3114	NUM
cana-541	126	8	.	.	PUNCT
cana-541	127	1	https://doi.org/https://doi.org/10.1016/j.applthermaleng.2005.03.008	https://doi.org/https://doi.org/10.1016/j.applthermaleng.2005.03.008	NOUN
cana-541	127	2	.	.	PUNCT
cana-541	128	1	[	[	X
cana-541	128	2	7	7	X
cana-541	128	3	]	]	X
cana-541	128	4	n.	n.	NOUN
cana-541	128	5	bachok	bachok	PROPN
cana-541	128	6	,	,	PUNCT
cana-541	128	7	a.	a.	NOUN
cana-541	128	8	ishak	ishak	PROPN
cana-541	128	9	,	,	PUNCT
cana-541	128	10	i.	i.	PROPN
cana-541	128	11	pop	pop	PROPN
cana-541	128	12	,	,	PUNCT
cana-541	128	13	flow	flow	NOUN
cana-541	128	14	and	and	CCONJ
cana-541	128	15	heat	heat	NOUN
cana-541	128	16	transfer	transfer	NOUN
cana-541	128	17	characteristics	characteristic	NOUN
cana-541	128	18	on	on	ADP
cana-541	128	19	a	a	DET
cana-541	128	20	moving	move	VERB
cana-541	128	21	plate	plate	NOUN
cana-541	128	22	in	in	ADP
cana-541	128	23	a	a	DET
cana-541	128	24	nanofluid	nanofluid	ADJ
cana-541	128	25	,	,	PUNCT
cana-541	128	26	int	int	NOUN
cana-541	128	27	.	.	PUNCT
cana-541	129	1	j.	j.	PROPN
cana-541	129	2	heat	heat	PROPN
cana-541	129	3	mass	mass	PROPN
cana-541	129	4	transf	transf	NOUN
cana-541	129	5	.	.	PUNCT
cana-541	130	1	55	55	NUM
cana-541	130	2	(	(	PUNCT
cana-541	130	3	2012	2012	NUM
cana-541	130	4	)	)	PUNCT
cana-541	131	1	642–648	642–648	NUM
cana-541	131	2	.	.	PUNCT
cana-541	132	1	communications	communication	NOUN
cana-541	132	2	on	on	ADP
cana-541	132	3	applied	apply	VERB
cana-541	132	4	nonlinear	nonlinear	ADJ
cana-541	132	5	analysis	analysis	NOUN
cana-541	132	6	issn	issn	NOUN
cana-541	132	7	:	:	PUNCT
cana-541	132	8	1074	1074	NUM
cana-541	132	9	-	-	PUNCT
cana-541	132	10	133x	133x	NUM
cana-541	132	11	vol	vol	NOUN
cana-541	132	12	31	31	NUM
cana-541	132	13	no	no	NOUN
cana-541	132	14	.	.	NOUN
cana-541	132	15	2	2	NUM
cana-541	132	16	(	(	PUNCT
cana-541	132	17	2024	2024	NUM
cana-541	132	18	)	)	PUNCT
cana-541	132	19	269	269	NUM
cana-541	132	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-541	132	21	https://doi.org/https://doi.org/10.1016/j.ijheatmasstransfer.2011.10.047	https://doi.org/https://doi.org/10.1016/j.ijheatmasstransfer.2011.10.047	NOUN
cana-541	132	22	.	.	PUNCT
cana-541	133	1	[	[	X
cana-541	133	2	8	8	NUM
cana-541	133	3	]	]	PUNCT
cana-541	133	4	s.	s.	PROPN
cana-541	133	5	akter	akter	PROPN
cana-541	133	6	,	,	PUNCT
cana-541	133	7	m.	m.	NOUN
cana-541	133	8	ferdows	ferdow	NOUN
cana-541	133	9	,	,	PUNCT
cana-541	133	10	m.d	m.d	PROPN
cana-541	133	11	.	.	PROPN
cana-541	133	12	shamshuddin	shamshuddin	PROPN
cana-541	133	13	,	,	PUNCT
cana-541	133	14	z.	z.	PROPN
cana-541	133	15	siri	siri	PROPN
cana-541	133	16	,	,	PUNCT
cana-541	133	17	similarity	similarity	NOUN
cana-541	133	18	solution	solution	NOUN
cana-541	133	19	for	for	ADP
cana-541	133	20	induced	induced	ADJ
cana-541	133	21	magnetic	magnetic	ADJ
cana-541	133	22	field	field	NOUN
cana-541	133	23	boundary	boundary	ADJ
cana-541	133	24	layer	layer	NOUN
cana-541	133	25	flow	flow	NOUN
cana-541	133	26	of	of	ADP
cana-541	133	27	metallic	metallic	ADJ
cana-541	133	28	nanofluids	nanofluid	NOUN
cana-541	133	29	via	via	ADP
cana-541	133	30	convectively	convectively	ADV
cana-541	133	31	inclined	incline	VERB
cana-541	133	32	stationary	stationary	NOUN
cana-541	133	33	/	/	SYM
cana-541	133	34	moving	move	VERB
cana-541	133	35	flat	flat	ADJ
cana-541	133	36	plate	plate	NOUN
cana-541	133	37	:	:	PUNCT
cana-541	133	38	spectral	spectral	ADJ
cana-541	133	39	relaxation	relaxation	NOUN
cana-541	133	40	computation	computation	NOUN
cana-541	133	41	,	,	PUNCT
cana-541	133	42	zamm	zamm	PROPN
cana-541	133	43	zeitschrift	zeitschrift	PROPN
cana-541	133	44	fur	fur	PROPN
cana-541	133	45	angew	angew	PROPN
cana-541	133	46	.	.	PUNCT
cana-541	134	1	math	math	NOUN
cana-541	134	2	.	.	PUNCT
cana-541	135	1	und	und	PROPN
cana-541	135	2	mech	mech	NOUN
cana-541	135	3	.	.	PUNCT
cana-541	136	1	102	102	NUM
cana-541	136	2	(	(	PUNCT
cana-541	136	3	2022	2022	NUM
cana-541	136	4	)	)	PUNCT
cana-541	136	5	1–24	1–24	PROPN
cana-541	136	6	.	.	PUNCT
cana-541	137	1	https://doi.org/10.1002/zamm.202100179	https://doi.org/10.1002/zamm.202100179	NOUN
cana-541	137	2	.	.	PUNCT
cana-541	138	1	[	[	X
cana-541	138	2	9	9	NUM
cana-541	138	3	]	]	X
cana-541	138	4	m.m	m.m	PROPN
cana-541	138	5	.	.	PROPN
cana-541	138	6	nandeppanavar	nandeppanavar	PROPN
cana-541	138	7	,	,	PUNCT
cana-541	138	8	s.	s.	PROPN
cana-541	138	9	shakunthala	shakunthala	PROPN
cana-541	138	10	,	,	PUNCT
cana-541	138	11	blasius	blasius	NOUN
cana-541	138	12	flow	flow	NOUN
cana-541	138	13	and	and	CCONJ
cana-541	138	14	heat	heat	NOUN
cana-541	138	15	transfer	transfer	NOUN
cana-541	138	16	of	of	ADP
cana-541	138	17	a	a	DET
cana-541	138	18	nanofluid	nanofluid	NOUN
cana-541	138	19	due	due	ADP
cana-541	138	20	to	to	ADP
cana-541	138	21	flat	flat	ADJ
cana-541	138	22	plate	plate	NOUN
cana-541	138	23	,	,	PUNCT
cana-541	138	24	j.	j.	PROPN
cana-541	138	25	nanofluids	nanofluids	PROPN
cana-541	138	26	5	5	NUM
cana-541	138	27	(	(	PUNCT
cana-541	138	28	2016	2016	NUM
cana-541	138	29	)	)	PUNCT
cana-541	139	1	736–742	736–742	NUM
cana-541	139	2	.	.	PUNCT
cana-541	140	1	https://doi.org/10.1166/jon.2016.1260	https://doi.org/10.1166/jon.2016.1260	NOUN
cana-541	140	2	.	.	PUNCT
cana-541	141	1	[	[	X
cana-541	141	2	10	10	NUM
cana-541	141	3	]	]	X
cana-541	141	4	t.g	t.g	PROPN
cana-541	141	5	.	.	PROPN
cana-541	141	6	motsumi	motsumi	PROPN
cana-541	141	7	,	,	PUNCT
cana-541	141	8	o.d	o.d	PROPN
cana-541	141	9	.	.	PROPN
cana-541	141	10	makinde	makinde	PROPN
cana-541	141	11	,	,	PUNCT
cana-541	141	12	effects	effect	NOUN
cana-541	141	13	of	of	ADP
cana-541	141	14	thermal	thermal	ADJ
cana-541	141	15	radiation	radiation	NOUN
cana-541	141	16	and	and	CCONJ
cana-541	141	17	viscous	viscous	ADJ
cana-541	141	18	dissipation	dissipation	NOUN
cana-541	141	19	on	on	ADP
cana-541	141	20	boundary	boundary	ADJ
cana-541	141	21	layer	layer	NOUN
cana-541	141	22	flow	flow	NOUN
cana-541	141	23	of	of	ADP
cana-541	141	24	nanofluids	nanofluid	NOUN
cana-541	141	25	over	over	ADP
cana-541	141	26	a	a	DET
cana-541	141	27	permeable	permeable	ADJ
cana-541	141	28	moving	move	VERB
cana-541	141	29	flat	flat	ADJ
cana-541	141	30	plate	plate	NOUN
cana-541	141	31	,	,	PUNCT
cana-541	141	32	phys	phy	NOUN
cana-541	141	33	.	.	PUNCT
cana-541	142	1	scr	scr	NOUN
cana-541	142	2	.	.	PROPN
cana-541	142	3	86	86	NUM
cana-541	142	4	(	(	PUNCT
cana-541	142	5	2012	2012	NUM
cana-541	142	6	)	)	PUNCT
cana-541	142	7	045003	045003	NUM
cana-541	142	8	.	.	PUNCT
cana-541	143	1	https://doi.org/10.1088/0031-8949/86/04/045003	https://doi.org/10.1088/0031-8949/86/04/045003	NOUN
cana-541	143	2	.	.	PUNCT
cana-541	144	1	[	[	X
cana-541	144	2	11	11	NUM
cana-541	144	3	]	]	X
cana-541	144	4	s.p.a	s.p.a	PROPN
cana-541	144	5	.	.	PUNCT
cana-541	144	6	devi	devi	PROPN
cana-541	144	7	,	,	PUNCT
cana-541	144	8	j.	j.	PROPN
cana-541	144	9	andrews	andrews	PROPN
cana-541	144	10	,	,	PUNCT
cana-541	144	11	laminar	laminar	ADJ
cana-541	144	12	boundary	boundary	ADJ
cana-541	144	13	layer	layer	NOUN
cana-541	144	14	flow	flow	NOUN
cana-541	144	15	of	of	ADP
cana-541	144	16	nanofluid	nanofluid	NOUN
cana-541	144	17	over	over	ADP
cana-541	144	18	a	a	DET
cana-541	144	19	flat	flat	ADJ
cana-541	144	20	plate	plate	NOUN
cana-541	144	21	,	,	PUNCT
cana-541	144	22	int	int	NOUN
cana-541	144	23	.	.	PUNCT
cana-541	145	1	j.	j.	PROPN
cana-541	145	2	appl	appl	PROPN
cana-541	145	3	.	.	PROPN
cana-541	145	4	math	math	PROPN
cana-541	145	5	.	.	PUNCT
cana-541	146	1	mech	mech	PROPN
cana-541	146	2	7	7	NUM
cana-541	146	3	(	(	PUNCT
cana-541	146	4	2011	2011	NUM
cana-541	146	5	)	)	PUNCT
cana-541	146	6	52–71	52–71	NOUN
cana-541	146	7	.	.	PUNCT