id	sid	tid	token	lemma	pos
cana-4411	1	1	paper	paper	NOUN
cana-4411	1	2	title	title	NOUN
cana-4411	1	3	(	(	PUNCT
cana-4411	1	4	use	use	NOUN
cana-4411	1	5	style	style	NOUN
cana-4411	1	6	:	:	PUNCT
cana-4411	1	7	paper	paper	NOUN
cana-4411	1	8	title	title	NOUN
cana-4411	1	9	)	)	PUNCT
cana-4411	1	10	communications	communication	NOUN
cana-4411	1	11	on	on	ADP
cana-4411	1	12	applied	apply	VERB
cana-4411	1	13	nonlinear	nonlinear	ADJ
cana-4411	1	14	analysis	analysis	NOUN
cana-4411	1	15	issn	issn	NOUN
cana-4411	1	16	:	:	PUNCT
cana-4411	1	17	1074	1074	NUM
cana-4411	1	18	-	-	PUNCT
cana-4411	1	19	133x	133x	NUM
cana-4411	1	20	vol	vol	NOUN
cana-4411	1	21	31	31	NUM
cana-4411	1	22	no	no	NOUN
cana-4411	1	23	.	.	PUNCT
cana-4411	2	1	8s	8s	PROPN
cana-4411	2	2	(	(	PUNCT
cana-4411	2	3	2024	2024	NUM
cana-4411	2	4	)	)	PUNCT
cana-4411	2	5	794	794	NUM
cana-4411	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	2	7	thermal	thermal	ADJ
cana-4411	2	8	radiation	radiation	NOUN
cana-4411	2	9	,	,	PUNCT
cana-4411	2	10	chemical	chemical	NOUN
cana-4411	2	11	reaction	reaction	NOUN
cana-4411	2	12	,	,	PUNCT
cana-4411	2	13	soret	soret	NOUN
cana-4411	2	14	,	,	PUNCT
cana-4411	2	15	hall	hall	NOUN
cana-4411	2	16	and	and	CCONJ
cana-4411	2	17	ion	ion	NOUN
cana-4411	2	18	slip	slip	NOUN
cana-4411	2	19	effects	effect	NOUN
cana-4411	2	20	on	on	ADP
cana-4411	2	21	unsteady	unsteady	ADJ
cana-4411	2	22	mhd	mhd	NOUN
cana-4411	2	23	rotating	rotating	NOUN
cana-4411	2	24	flow	flow	NOUN
cana-4411	2	25	of	of	ADP
cana-4411	2	26	micropolar	micropolar	NOUN
cana-4411	2	27	-	-	PUNCT
cana-4411	2	28	casson	casson	NOUN
cana-4411	2	29	fluid	fluid	NOUN
cana-4411	2	30	through	through	ADP
cana-4411	2	31	porous	porous	ADJ
cana-4411	2	32	medium	medium	ADJ
cana-4411	2	33	suchita	suchita	NOUN
cana-4411	2	34	t.s	t.s	PROPN
cana-4411	2	35	¹	¹	PROPN
cana-4411	2	36	,	,	PUNCT
cana-4411	2	37	s	s	PART
cana-4411	2	38	senthamilselvi1	senthamilselvi1	NOUN
cana-4411	2	39	,	,	PUNCT
cana-4411	2	40	r.	r.	PROPN
cana-4411	2	41	vijayakumar2	vijayakumar2	PROPN
cana-4411	2	42	and	and	CCONJ
cana-4411	2	43	a	a	DET
cana-4411	2	44	jancy	jancy	NOUN
cana-4411	2	45	rani	rani	PROPN
cana-4411	2	46	3	3	NUM
cana-4411	2	47	1department	1department	NUM
cana-4411	2	48	of	of	ADP
cana-4411	2	49	mathematics	mathematic	NOUN
cana-4411	2	50	,	,	PUNCT
cana-4411	2	51	vels	vels	PROPN
cana-4411	2	52	institute	institute	PROPN
cana-4411	2	53	of	of	ADP
cana-4411	2	54	science	science	PROPN
cana-4411	2	55	,	,	PUNCT
cana-4411	2	56	technology	technology	NOUN
cana-4411	2	57	&	&	CCONJ
cana-4411	2	58	advanced	advanced	ADJ
cana-4411	2	59	studies	study	NOUN
cana-4411	2	60	,	,	PUNCT
cana-4411	2	61	tamil	tamil	PROPN
cana-4411	2	62	nadu	nadu	PROPN
cana-4411	2	63	,	,	PUNCT
cana-4411	2	64	india	india	PROPN
cana-4411	2	65	.	.	PROPN
cana-4411	2	66	2	2	NUM
cana-4411	2	67	mathematics	mathematic	NOUN
cana-4411	2	68	section	section	NOUN
cana-4411	2	69	,	,	PUNCT
cana-4411	2	70	feat	feat	NOUN
cana-4411	2	71	,	,	PUNCT
cana-4411	2	72	annamalai	annamalai	PROPN
cana-4411	2	73	university	university	PROPN
cana-4411	2	74	,	,	PUNCT
cana-4411	2	75	annamalainagar-608002,india	annamalainagar-608002,india	PROPN
cana-4411	2	76	.	.	PUNCT
cana-4411	2	77	department	department	NOUN
cana-4411	2	78	of	of	ADP
cana-4411	2	79	mathematics	mathematic	NOUN
cana-4411	2	80	,	,	PUNCT
cana-4411	2	81	periyar	periyar	NOUN
cana-4411	2	82	government	government	NOUN
cana-4411	2	83	arts	arts	PROPN
cana-4411	2	84	college	college	PROPN
cana-4411	2	85	,	,	PUNCT
cana-4411	2	86	cuddalore	cuddalore	ADJ
cana-4411	2	87	,	,	PUNCT
cana-4411	2	88	tamilnadu	tamilnadu	ADJ
cana-4411	2	89	–	–	PUNCT
cana-4411	2	90	607	607	NUM
cana-4411	2	91	001	001	NUM
cana-4411	2	92	,	,	PUNCT
cana-4411	2	93	india	india	PROPN
cana-4411	2	94	.	.	PUNCT
cana-4411	3	1	3department	3department	NUM
cana-4411	3	2	of	of	ADP
cana-4411	3	3	mathematics	mathematic	NOUN
cana-4411	3	4	,	,	PUNCT
cana-4411	3	5	annamali	annamali	ADJ
cana-4411	3	6	university	university	NOUN
cana-4411	3	7	,	,	PUNCT
cana-4411	3	8	annamalainagar	annamalainagar	NOUN
cana-4411	3	9	,	,	PUNCT
cana-4411	3	10	tamil	tamil	PROPN
cana-4411	3	11	nadu608	nadu608	PROPN
cana-4411	3	12	002	002	NUM
cana-4411	3	13	,	,	PUNCT
cana-4411	4	1	india	india	PROPN
cana-4411	4	2	.	.	PUNCT
cana-4411	4	3	email	email	NOUN
cana-4411	4	4	:	:	PUNCT
cana-4411	4	5	1chiku2712@gmail.com	1chiku2712@gmail.com	NUM
cana-4411	4	6	,	,	PUNCT
cana-4411	4	7	2rathirath_viji@yahoo.co.in	2rathirath_viji@yahoo.co.in	NUM
cana-4411	4	8	,	,	PUNCT
cana-4411	4	9	3jancyrani1985@gmail.com	3jancyrani1985@gmail.com	NUM
cana-4411	4	10	corresponding	corresponding	ADJ
cana-4411	4	11	author	author	NOUN
cana-4411	4	12	email	email	NOUN
cana-4411	4	13	:	:	PUNCT
cana-4411	4	14	1msselvi2305@gmail.com	1msselvi2305@gmail.com	NUM
cana-4411	4	15	article	article	NOUN
cana-4411	4	16	history	history	NOUN
cana-4411	4	17	:	:	PUNCT
cana-4411	4	18	received	receive	VERB
cana-4411	4	19	:	:	PUNCT
cana-4411	4	20	22	22	NUM
cana-4411	4	21	-	-	SYM
cana-4411	4	22	06	06	NUM
cana-4411	4	23	-	-	PUNCT
cana-4411	4	24	2024	2024	NUM
cana-4411	4	25	revised	revise	VERB
cana-4411	4	26	:	:	PUNCT
cana-4411	4	27	15	15	NUM
cana-4411	4	28	-	-	SYM
cana-4411	4	29	07	07	NUM
cana-4411	4	30	-	-	PUNCT
cana-4411	4	31	2024	2024	NUM
cana-4411	4	32	accepted	accept	VERB
cana-4411	4	33	:	:	PUNCT
cana-4411	4	34	20	20	NUM
cana-4411	4	35	-	-	SYM
cana-4411	4	36	08	08	NUM
cana-4411	4	37	-	-	PUNCT
cana-4411	4	38	2024	2024	NUM
cana-4411	4	39	abstract	abstract	NOUN
cana-4411	4	40	:	:	PUNCT
cana-4411	4	41	the	the	DET
cana-4411	4	42	effects	effect	NOUN
cana-4411	4	43	of	of	ADP
cana-4411	4	44	heat	heat	NOUN
cana-4411	4	45	radiation	radiation	NOUN
cana-4411	4	46	,	,	PUNCT
cana-4411	4	47	chemical	chemical	NOUN
cana-4411	4	48	reaction	reaction	NOUN
cana-4411	4	49	,	,	PUNCT
cana-4411	4	50	hall	hall	NOUN
cana-4411	4	51	and	and	CCONJ
cana-4411	4	52	ion	ion	NOUN
cana-4411	4	53	slip	slip	NOUN
cana-4411	4	54	,	,	PUNCT
cana-4411	4	55	as	as	ADV
cana-4411	4	56	well	well	ADV
cana-4411	4	57	as	as	ADP
cana-4411	4	58	a	a	DET
cana-4411	4	59	flow	flow	NOUN
cana-4411	4	60	of	of	ADP
cana-4411	4	61	a	a	DET
cana-4411	4	62	fluid	fluid	NOUN
cana-4411	4	63	in	in	ADP
cana-4411	4	64	which	which	PRON
cana-4411	4	65	each	each	DET
cana-4411	4	66	particle	particle	NOUN
cana-4411	4	67	moves	move	VERB
cana-4411	4	68	along	along	ADP
cana-4411	4	69	its	its	PRON
cana-4411	4	70	line	line	NOUN
cana-4411	4	71	of	of	ADP
cana-4411	4	72	flow	flow	NOUN
cana-4411	4	73	with	with	ADP
cana-4411	4	74	constant	constant	ADJ
cana-4411	4	75	speed	speed	NOUN
cana-4411	4	76	and	and	CCONJ
cana-4411	4	77	in	in	ADP
cana-4411	4	78	which	which	PRON
cana-4411	4	79	the	the	DET
cana-4411	4	80	cross	cross	NOUN
cana-4411	4	81	section	section	NOUN
cana-4411	4	82	of	of	ADP
cana-4411	4	83	each	each	DET
cana-4411	4	84	stream	stream	NOUN
cana-4411	4	85	tube	tube	NOUN
cana-4411	4	86	remains	remain	VERB
cana-4411	4	87	unchanged	unchanged	ADJ
cana-4411	4	88	transverse	transverse	NOUN
cana-4411	4	89	magnetic	magnetic	ADJ
cana-4411	4	90	field	field	NOUN
cana-4411	4	91	and	and	CCONJ
cana-4411	4	92	convective	convective	ADJ
cana-4411	4	93	boundary	boundary	ADJ
cana-4411	4	94	conditions	condition	NOUN
cana-4411	4	95	,	,	PUNCT
cana-4411	4	96	on	on	ADP
cana-4411	4	97	an	an	DET
cana-4411	4	98	unstable	unstable	ADJ
cana-4411	4	99	mhd	mhd	NOUN
cana-4411	4	100	natural	natural	ADJ
cana-4411	4	101	convective	convective	ADJ
cana-4411	4	102	rotating	rotating	NOUN
cana-4411	4	103	flow	flow	NOUN
cana-4411	4	104	of	of	ADP
cana-4411	4	105	micro	micro	ADJ
cana-4411	4	106	-	-	ADJ
cana-4411	4	107	polar	polar	ADJ
cana-4411	4	108	casson	casson	PROPN
cana-4411	4	109	fluid	fluid	NOUN
cana-4411	4	110	through	through	ADP
cana-4411	4	111	extending	extend	VERB
cana-4411	4	112	to	to	ADP
cana-4411	4	113	infinity	infinity	NOUN
cana-4411	4	114	in	in	ADP
cana-4411	4	115	one	one	NUM
cana-4411	4	116	direction	direction	NOUN
cana-4411	4	117	the	the	DET
cana-4411	4	118	porous	porous	ADJ
cana-4411	4	119	plate	plate	NOUN
cana-4411	4	120	moving	move	VERB
cana-4411	4	121	vertically	vertically	ADV
cana-4411	4	122	have	have	AUX
cana-4411	4	123	been	be	AUX
cana-4411	4	124	studied	study	VERB
cana-4411	4	125	.	.	PUNCT
cana-4411	5	1	the	the	DET
cana-4411	5	2	boundary	boundary	ADJ
cana-4411	5	3	layer	layer	NOUN
cana-4411	5	4	solutions	solution	NOUN
cana-4411	5	5	must	must	AUX
cana-4411	5	6	satisfy	satisfy	VERB
cana-4411	5	7	the	the	DET
cana-4411	5	8	no	no	DET
cana-4411	5	9	slip	slip	NOUN
cana-4411	5	10	criterion	criterion	NOUN
cana-4411	5	11	since	since	SCONJ
cana-4411	5	12	it	it	PRON
cana-4411	5	13	is	be	AUX
cana-4411	5	14	presumed	presume	VERB
cana-4411	5	15	that	that	SCONJ
cana-4411	5	16	the	the	DET
cana-4411	5	17	entire	entire	ADJ
cana-4411	5	18	system	system	NOUN
cana-4411	5	19	would	would	AUX
cana-4411	5	20	vary	vary	VERB
cana-4411	5	21	in	in	ADP
cana-4411	5	22	time	time	NOUN
cana-4411	5	23	by	by	ADP
cana-4411	5	24	constant	constant	ADJ
cana-4411	5	25	frequency	frequency	NOUN
cana-4411	5	26	.	.	PUNCT
cana-4411	6	1	the	the	DET
cana-4411	6	2	perturbation	perturbation	NOUN
cana-4411	6	3	approach	approach	NOUN
cana-4411	6	4	is	be	AUX
cana-4411	6	5	applied	apply	VERB
cana-4411	6	6	to	to	PART
cana-4411	6	7	solve	solve	VERB
cana-4411	6	8	the	the	DET
cana-4411	6	9	dimensionless	dimensionless	NOUN
cana-4411	6	10	governing	govern	VERB
cana-4411	6	11	equations	equation	NOUN
cana-4411	6	12	analytically	analytically	ADV
cana-4411	6	13	,	,	PUNCT
cana-4411	6	14	and	and	CCONJ
cana-4411	6	15	the	the	DET
cana-4411	6	16	outcomes	outcome	NOUN
cana-4411	6	17	are	be	AUX
cana-4411	6	18	then	then	ADV
cana-4411	6	19	computationally	computationally	ADV
cana-4411	6	20	analysed	analyse	VERB
cana-4411	6	21	to	to	ADP
cana-4411	6	22	the	the	DET
cana-4411	6	23	relevant	relevant	ADJ
cana-4411	6	24	parameters	parameter	NOUN
cana-4411	6	25	by	by	ADP
cana-4411	6	26	references	reference	NOUN
cana-4411	6	27	.	.	PUNCT
cana-4411	7	1	heat	heat	NOUN
cana-4411	7	2	and	and	CCONJ
cana-4411	7	3	mass	mass	NOUN
cana-4411	7	4	transfer	transfer	NOUN
cana-4411	7	5	which	which	PRON
cana-4411	7	6	involves	involve	VERB
cana-4411	7	7	several	several	ADJ
cana-4411	7	8	natural	natural	ADJ
cana-4411	7	9	and	and	CCONJ
cana-4411	7	10	man	man	NOUN
cana-4411	7	11	-	-	PUNCT
cana-4411	7	12	made	make	VERB
cana-4411	7	13	transport	transport	NOUN
cana-4411	7	14	systems	system	NOUN
cana-4411	7	15	on	on	ADP
cana-4411	7	16	mhd	mhd	NOUN
cana-4411	7	17	flows	flow	NOUN
cana-4411	7	18	across	across	ADP
cana-4411	7	19	porous	porous	ADJ
cana-4411	7	20	medium	medium	NOUN
cana-4411	7	21	through	through	ADP
cana-4411	7	22	chemical	chemical	ADJ
cana-4411	7	23	reactions	reaction	NOUN
cana-4411	7	24	.	.	PUNCT
cana-4411	8	1	hall	hall	NOUN
cana-4411	8	2	and	and	CCONJ
cana-4411	8	3	ion	ion	NOUN
cana-4411	8	4	slip	slip	NOUN
cana-4411	8	5	impacts	impact	NOUN
cana-4411	8	6	are	be	AUX
cana-4411	8	7	often	often	ADV
cana-4411	8	8	exploited	exploit	VERB
cana-4411	8	9	in	in	ADP
cana-4411	8	10	the	the	DET
cana-4411	8	11	bio	bio	ADJ
cana-4411	8	12	-	-	ADJ
cana-4411	8	13	medical	medical	ADJ
cana-4411	8	14	field	field	NOUN
cana-4411	8	15	.	.	PUNCT
cana-4411	9	1	keywords	keyword	NOUN
cana-4411	9	2	:	:	PUNCT
cana-4411	9	3	hall	hall	NOUN
cana-4411	9	4	and	and	CCONJ
cana-4411	9	5	ion	ion	NOUN
cana-4411	9	6	slip	slip	NOUN
cana-4411	9	7	impacts	impact	NOUN
cana-4411	9	8	,	,	PUNCT
cana-4411	9	9	thermal	thermal	ADJ
cana-4411	9	10	radiation	radiation	NOUN
cana-4411	9	11	,	,	PUNCT
cana-4411	9	12	micropolar	micropolar	ADJ
cana-4411	9	13	–	–	PUNCT
cana-4411	9	14	casson	casson	NOUN
cana-4411	9	15	fluid	fluid	NOUN
cana-4411	9	16	,	,	PUNCT
cana-4411	9	17	rotating	rotate	VERB
cana-4411	9	18	frame	frame	NOUN
cana-4411	9	19	,	,	PUNCT
cana-4411	9	20	chemical	chemical	NOUN
cana-4411	9	21	reaction	reaction	NOUN
cana-4411	9	22	.	.	PUNCT
cana-4411	10	1	1	1	X
cana-4411	10	2	.	.	X
cana-4411	10	3	introduction	introduction	NOUN
cana-4411	10	4	hari	hari	NOUN
cana-4411	10	5	r	r	NOUN
cana-4411	10	6	[	[	X
cana-4411	10	7	1	1	X
cana-4411	10	8	]	]	PUNCT
cana-4411	10	9	found	find	VERB
cana-4411	10	10	an	an	DET
cana-4411	10	11	analytical	analytical	ADJ
cana-4411	10	12	solution	solution	NOUN
cana-4411	10	13	to	to	ADP
cana-4411	10	14	the	the	DET
cana-4411	10	15	unstable	unstable	ADJ
cana-4411	10	16	free	free	ADJ
cana-4411	10	17	convective	convective	ADJ
cana-4411	10	18	mhd	mhd	NOUN
cana-4411	10	19	is	be	AUX
cana-4411	10	20	studied	study	VERB
cana-4411	10	21	.	.	PUNCT
cana-4411	11	1	in	in	ADP
cana-4411	11	2	the	the	DET
cana-4411	11	3	occurrence	occurrence	NOUN
cana-4411	11	4	of	of	ADP
cana-4411	11	5	chemical	chemical	ADJ
cana-4411	11	6	reaction	reaction	NOUN
cana-4411	11	7	,	,	PUNCT
cana-4411	11	8	heat	heat	NOUN
cana-4411	11	9	generation	generation	NOUN
cana-4411	11	10	,	,	PUNCT
cana-4411	11	11	ramped	ramp	VERB
cana-4411	11	12	wall	wall	NOUN
cana-4411	11	13	temperature	temperature	NOUN
cana-4411	11	14	,	,	PUNCT
cana-4411	11	15	and	and	CCONJ
cana-4411	11	16	ramped	ramp	VERB
cana-4411	11	17	surface	surface	NOUN
cana-4411	11	18	concentration	concentration	NOUN
cana-4411	11	19	with	with	ADP
cana-4411	11	20	embedded	embed	VERB
cana-4411	11	21	porous	porous	ADJ
cana-4411	11	22	medium	medium	NOUN
cana-4411	11	23	,	,	PUNCT
cana-4411	11	24	casson	casson	PROPN
cana-4411	11	25	fluid	fluid	NOUN
cana-4411	11	26	movement	movement	NOUN
cana-4411	11	27	passed	pass	VERB
cana-4411	11	28	over	over	ADP
cana-4411	11	29	an	an	DET
cana-4411	11	30	exponentially	exponentially	ADV
cana-4411	11	31	accelerated	accelerate	VERB
cana-4411	11	32	perpendicular	perpendicular	ADJ
cana-4411	11	33	plate	plate	NOUN
cana-4411	11	34	.	.	PUNCT
cana-4411	12	1	the	the	DET
cana-4411	12	2	hall	hall	NOUN
cana-4411	12	3	and	and	CCONJ
cana-4411	12	4	ion	ion	NOUN
cana-4411	12	5	slip	slip	NOUN
cana-4411	12	6	impacts	impact	NOUN
cana-4411	12	7	on	on	ADP
cana-4411	12	8	mhd	mhd	NOUN
cana-4411	12	9	rotating	rotate	VERB
cana-4411	12	10	convective	convective	ADJ
cana-4411	12	11	boundary	boundary	ADJ
cana-4411	12	12	layer	layer	NOUN
cana-4411	12	13	flow	flow	NOUN
cana-4411	12	14	of	of	ADP
cana-4411	12	15	a	a	DET
cana-4411	12	16	nano	nano	NOUN
cana-4411	12	17	-	-	PUNCT
cana-4411	12	18	fluid	fluid	NOUN
cana-4411	12	19	through	through	ADP
cana-4411	12	20	a	a	DET
cana-4411	12	21	semi	semi	ADJ
cana-4411	12	22	-	-	ADJ
cana-4411	12	23	infinite	infinite	ADJ
cana-4411	12	24	horizontal	horizontal	ADJ
cana-4411	12	25	permeable	permeable	ADJ
cana-4411	12	26	porous	porous	ADJ
cana-4411	12	27	plate	plate	NOUN
cana-4411	12	28	were	be	AUX
cana-4411	12	29	designed	design	VERB
cana-4411	12	30	by	by	ADP
cana-4411	12	31	m.	m.	NOUN
cana-4411	12	32	veerakirishna[2	veerakirishna[2	PROPN
cana-4411	12	33	]	]	PUNCT
cana-4411	12	34	.	.	PUNCT
cana-4411	13	1	heat	heat	NOUN
cana-4411	13	2	and	and	CCONJ
cana-4411	13	3	mass	mass	ADJ
cana-4411	13	4	transfer	transfer	NOUN
cana-4411	13	5	on	on	ADP
cana-4411	13	6	mhd	mhd	NOUN
cana-4411	13	7	oscillatory	oscillatory	ADJ
cana-4411	13	8	flow	flow	NOUN
cana-4411	13	9	through	through	ADP
cana-4411	13	10	an	an	DET
cana-4411	13	11	lop	lop	NOUN
cana-4411	13	12	-	-	PUNCT
cana-4411	13	13	sided	sided	ADJ
cana-4411	13	14	wavy	wavy	ADJ
cana-4411	13	15	channel	channel	NOUN
cana-4411	13	16	examined	examine	VERB
cana-4411	13	17	by	by	ADP
cana-4411	13	18	j.	j.	PROPN
cana-4411	13	19	sasikumar	sasikumar	PROPN
cana-4411	14	1	[	[	X
cana-4411	14	2	3	3	X
cana-4411	14	3	]	]	PUNCT
cana-4411	14	4	through	through	ADP
cana-4411	14	5	porous	porous	ADJ
cana-4411	14	6	channel	channel	NOUN
cana-4411	14	7	with	with	ADP
cana-4411	14	8	suction	suction	NOUN
cana-4411	14	9	and	and	CCONJ
cana-4411	14	10	injection	injection	NOUN
cana-4411	14	11	.	.	PUNCT
cana-4411	15	1	abdul	abdul	PROPN
cana-4411	15	2	rahman	rahman	PROPN
cana-4411	15	3	mohd	mohd	PROPN
cana-4411	15	4	kasim	kasim	PROPN
cana-4411	16	1	[	[	X
cana-4411	16	2	4	4	NUM
cana-4411	16	3	]	]	PUNCT
cana-4411	16	4	concentrated	concentrate	VERB
cana-4411	16	5	on	on	ADP
cana-4411	16	6	the	the	DET
cana-4411	16	7	issue	issue	NOUN
cana-4411	16	8	of	of	ADP
cana-4411	16	9	fixed	fix	VERB
cana-4411	16	10	two	two	NUM
cana-4411	16	11	-	-	PUNCT
cana-4411	16	12	dimensional	dimensional	ADJ
cana-4411	16	13	convective	convective	ADJ
cana-4411	16	14	movement	movement	NOUN
cana-4411	16	15	of	of	ADP
cana-4411	16	16	a	a	DET
cana-4411	16	17	casson	casson	PROPN
cana-4411	16	18	fluid	fluid	NOUN
cana-4411	16	19	while	while	SCONJ
cana-4411	16	20	also	also	ADV
cana-4411	16	21	taking	take	VERB
cana-4411	16	22	into	into	ADP
cana-4411	16	23	account	account	NOUN
cana-4411	16	24	the	the	DET
cana-4411	16	25	microrotation	microrotation	NOUN
cana-4411	16	26	impact	impact	NOUN
cana-4411	16	27	over	over	ADP
cana-4411	16	28	a	a	DET
cana-4411	16	29	stretch	stretch	NOUN
cana-4411	16	30	surface	surface	NOUN
cana-4411	16	31	and	and	CCONJ
cana-4411	16	32	mixed	mixed	ADJ
cana-4411	16	33	convection	convection	NOUN
cana-4411	16	34	as	as	ADP
cana-4411	16	35	the	the	DET
cana-4411	16	36	basis	basis	NOUN
cana-4411	16	37	of	of	ADP
cana-4411	16	38	heat	heat	NOUN
cana-4411	16	39	transmission	transmission	NOUN
cana-4411	16	40	.	.	PUNCT
cana-4411	17	1	the	the	DET
cana-4411	17	2	impacts	impact	NOUN
cana-4411	17	3	of	of	ADP
cana-4411	17	4	nanoparticle	nanoparticle	NOUN
cana-4411	17	5	geometry	geometry	NOUN
cana-4411	17	6	,	,	PUNCT
cana-4411	17	7	slip	slip	NOUN
cana-4411	17	8	,	,	PUNCT
cana-4411	17	9	and	and	CCONJ
cana-4411	17	10	temperature	temperature	NOUN
cana-4411	17	11	wall	wall	NOUN
cana-4411	17	12	circumstances	circumstance	NOUN
cana-4411	17	13	on	on	ADP
cana-4411	17	14	the	the	DET
cana-4411	17	15	thermo	thermo	NOUN
cana-4411	17	16	-	-	PUNCT
cana-4411	17	17	magneto	magneto	VERB
cana-4411	17	18	-	-	PUNCT
cana-4411	17	19	solvent	solvent	NOUN
cana-4411	17	20	flow	flow	NOUN
cana-4411	17	21	of	of	ADP
cana-4411	17	22	nano	nano	NOUN
cana-4411	17	23	fluid	fluid	NOUN
cana-4411	17	24	among	among	ADP
cana-4411	17	25	two	two	NUM
cana-4411	17	26	mailto:rathirath_viji@yahoo.co.in	mailto:rathirath_viji@yahoo.co.in	PROPN
cana-4411	17	27	mailto:jancyrani1985@gmail.com	mailto:jancyrani1985@gmail.com	PROPN
cana-4411	17	28	mailto:msselvi2305@gmail.com	mailto:msselvi2305@gmail.com	PROPN
cana-4411	17	29	communications	communication	NOUN
cana-4411	17	30	on	on	ADP
cana-4411	17	31	applied	apply	VERB
cana-4411	17	32	nonlinear	nonlinear	ADJ
cana-4411	17	33	analysis	analysis	NOUN
cana-4411	17	34	issn	issn	NOUN
cana-4411	17	35	:	:	PUNCT
cana-4411	17	36	1074	1074	NUM
cana-4411	17	37	-	-	PUNCT
cana-4411	17	38	133x	133x	NUM
cana-4411	17	39	vol	vol	NOUN
cana-4411	17	40	31	31	NUM
cana-4411	17	41	no	no	NOUN
cana-4411	17	42	.	.	PUNCT
cana-4411	18	1	8s	8s	PROPN
cana-4411	18	2	(	(	PUNCT
cana-4411	18	3	2024	2024	NUM
cana-4411	18	4	)	)	PUNCT
cana-4411	18	5	795	795	NUM
cana-4411	18	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	18	7	parallel	parallel	NOUN
cana-4411	18	8	discs	disc	NOUN
cana-4411	18	9	contained	contain	VERB
cana-4411	18	10	in	in	ADP
cana-4411	18	11	a	a	DET
cana-4411	18	12	porous	porous	ADJ
cana-4411	18	13	media	medium	NOUN
cana-4411	18	14	have	have	AUX
cana-4411	18	15	been	be	AUX
cana-4411	18	16	rationally	rationally	ADV
cana-4411	18	17	explored	explore	VERB
cana-4411	18	18	,	,	PUNCT
cana-4411	18	19	as	as	SCONJ
cana-4411	18	20	predicted	predict	VERB
cana-4411	18	21	by	by	ADP
cana-4411	18	22	m.	m.	PROPN
cana-4411	18	23	g.	g.	PROPN
cana-4411	18	24	sobamowo	sobamowo	PROPN
cana-4411	19	1	[	[	X
cana-4411	19	2	5	5	NUM
cana-4411	19	3	]	]	PUNCT
cana-4411	19	4	.	.	PUNCT
cana-4411	20	1	according	accord	VERB
cana-4411	20	2	to	to	ADP
cana-4411	20	3	dhananjay	dhananjay	PROPN
cana-4411	20	4	yadav	yadav	PROPN
cana-4411	20	5	[	[	X
cana-4411	20	6	6	6	NUM
cana-4411	20	7	]	]	PUNCT
cana-4411	20	8	,	,	PUNCT
cana-4411	20	9	the	the	DET
cana-4411	20	10	collective	collective	ADJ
cana-4411	20	11	effect	effect	NOUN
cana-4411	20	12	of	of	ADP
cana-4411	20	13	temperature	temperature	NOUN
cana-4411	20	14	-	-	PUNCT
cana-4411	20	15	dependent	dependent	ADJ
cana-4411	20	16	viscosity	viscosity	NOUN
cana-4411	20	17	and	and	CCONJ
cana-4411	20	18	an	an	DET
cana-4411	20	19	inside	inside	ADJ
cana-4411	20	20	heat	heat	NOUN
cana-4411	20	21	source	source	NOUN
cana-4411	20	22	on	on	ADP
cana-4411	20	23	the	the	DET
cana-4411	20	24	beginning	beginning	NOUN
cana-4411	20	25	of	of	ADP
cana-4411	20	26	convection	convection	NOUN
cana-4411	20	27	in	in	ADP
cana-4411	20	28	porous	porous	ADJ
cana-4411	20	29	inserts	insert	NOUN
cana-4411	20	30	saturated	saturate	VERB
cana-4411	20	31	with	with	ADP
cana-4411	20	32	a	a	DET
cana-4411	20	33	viscoelastic	viscoelastic	ADJ
cana-4411	20	34	fluid	fluid	NOUN
cana-4411	20	35	has	have	AUX
cana-4411	20	36	been	be	AUX
cana-4411	20	37	investigated	investigate	VERB
cana-4411	20	38	by	by	ADP
cana-4411	20	39	means	mean	NOUN
cana-4411	20	40	of	of	ADP
cana-4411	20	41	linear	linear	ADJ
cana-4411	20	42	and	and	CCONJ
cana-4411	20	43	weak	weak	ADJ
cana-4411	20	44	nonlinear	nonlinear	ADJ
cana-4411	20	45	stability	stability	NOUN
cana-4411	20	46	models	model	NOUN
cana-4411	20	47	.	.	PUNCT
cana-4411	21	1	sara	sara	PROPN
cana-4411	21	2	i	i	PRON
cana-4411	22	1	[	[	X
cana-4411	22	2	7	7	X
cana-4411	22	3	]	]	PUNCT
cana-4411	22	4	looked	look	VERB
cana-4411	22	5	examined	examine	VERB
cana-4411	22	6	the	the	DET
cana-4411	22	7	mathematical	mathematical	ADJ
cana-4411	22	8	outcomes	outcome	NOUN
cana-4411	22	9	of	of	ADP
cana-4411	22	10	peristaltic	peristaltic	ADJ
cana-4411	22	11	transportation	transportation	NOUN
cana-4411	22	12	of	of	ADP
cana-4411	22	13	a	a	DET
cana-4411	22	14	blood	blood	NOUN
cana-4411	22	15	as	as	ADP
cana-4411	22	16	nonnewtonian	nonnewtonian	NOUN
cana-4411	22	17	through	through	ADP
cana-4411	22	18	a	a	DET
cana-4411	22	19	ununiform	ununiform	NOUN
cana-4411	22	20	channel	channel	NOUN
cana-4411	22	21	in	in	ADP
cana-4411	22	22	the	the	DET
cana-4411	22	23	presence	presence	NOUN
cana-4411	22	24	of	of	ADP
cana-4411	22	25	an	an	DET
cana-4411	22	26	exterior	exterior	ADJ
cana-4411	22	27	magnetic	magnetic	ADJ
cana-4411	22	28	field	field	NOUN
cana-4411	22	29	,	,	PUNCT
cana-4411	22	30	a	a	DET
cana-4411	22	31	concentration	concentration	NOUN
cana-4411	22	32	of	of	ADP
cana-4411	22	33	nanoparticles	nanoparticle	NOUN
cana-4411	22	34	,	,	PUNCT
cana-4411	22	35	a	a	DET
cana-4411	22	36	chemical	chemical	NOUN
cana-4411	22	37	reaction	reaction	NOUN
cana-4411	22	38	,	,	PUNCT
cana-4411	22	39	a	a	DET
cana-4411	22	40	hall	hall	NOUN
cana-4411	22	41	current	current	ADJ
cana-4411	22	42	,	,	PUNCT
cana-4411	22	43	and	and	CCONJ
cana-4411	22	44	ion	ion	NOUN
cana-4411	22	45	slip	slip	NOUN
cana-4411	22	46	.	.	PUNCT
cana-4411	23	1	in	in	ADP
cana-4411	23	2	the	the	DET
cana-4411	23	3	occurrence	occurrence	NOUN
cana-4411	23	4	of	of	ADP
cana-4411	23	5	chemical	chemical	NOUN
cana-4411	23	6	processes	process	NOUN
cana-4411	23	7	and	and	CCONJ
cana-4411	23	8	thermal	thermal	ADJ
cana-4411	23	9	radiation	radiation	NOUN
cana-4411	23	10	,	,	PUNCT
cana-4411	23	11	omar	omar	PROPN
cana-4411	23	12	t.	t.	PROPN
cana-4411	23	13	bafakeeh	bafakeeh	PROPN
cana-4411	24	1	[	[	X
cana-4411	24	2	8	8	NUM
cana-4411	24	3	]	]	PUNCT
cana-4411	24	4	predicted	predict	VERB
cana-4411	24	5	the	the	DET
cana-4411	24	6	unsteady	unsteady	ADJ
cana-4411	24	7	mhd	mhd	NOUN
cana-4411	24	8	free	free	ADJ
cana-4411	24	9	convection	convection	NOUN
cana-4411	24	10	movement	movement	NOUN
cana-4411	24	11	of	of	ADP
cana-4411	24	12	a	a	DET
cana-4411	24	13	viscous	viscous	ADJ
cana-4411	24	14	,	,	PUNCT
cana-4411	24	15	incompressible	incompressible	ADJ
cana-4411	24	16	,	,	PUNCT
cana-4411	24	17	and	and	CCONJ
cana-4411	24	18	electrically	electrically	ADV
cana-4411	24	19	conducting	conduct	VERB
cana-4411	24	20	flowing	flow	VERB
cana-4411	24	21	over	over	ADP
cana-4411	24	22	a	a	DET
cana-4411	24	23	perpendicular	perpendicular	ADJ
cana-4411	24	24	plate	plate	NOUN
cana-4411	24	25	embedded	embed	VERB
cana-4411	24	26	in	in	ADP
cana-4411	24	27	a	a	DET
cana-4411	24	28	porous	porous	ADJ
cana-4411	24	29	media	medium	NOUN
cana-4411	24	30	.	.	PUNCT
cana-4411	25	1	the	the	DET
cana-4411	25	2	main	main	ADJ
cana-4411	25	3	and	and	CCONJ
cana-4411	25	4	secondary	secondary	ADJ
cana-4411	25	5	flows	flow	NOUN
cana-4411	25	6	of	of	ADP
cana-4411	25	7	a	a	DET
cana-4411	25	8	micropolar	micropolar	ADJ
cana-4411	25	9	fluid	fluid	NOUN
cana-4411	25	10	through	through	ADP
cana-4411	25	11	an	an	DET
cana-4411	25	12	inclined	inclined	ADJ
cana-4411	25	13	plate	plate	NOUN
cana-4411	25	14	with	with	ADP
cana-4411	25	15	viscous	viscous	ADJ
cana-4411	25	16	dissipation	dissipation	NOUN
cana-4411	25	17	and	and	CCONJ
cana-4411	25	18	thermal	thermal	ADJ
cana-4411	25	19	radiation	radiation	NOUN
cana-4411	25	20	were	be	AUX
cana-4411	25	21	investigated	investigate	VERB
cana-4411	25	22	by	by	ADP
cana-4411	25	23	m.d	m.d	PROPN
cana-4411	25	24	.	.	PROPN
cana-4411	25	25	shamshuddin	shamshuddin	VERB
cana-4411	26	1	[	[	X
cana-4411	26	2	9	9	NUM
cana-4411	26	3	]	]	PUNCT
cana-4411	26	4	in	in	ADP
cana-4411	26	5	a	a	DET
cana-4411	26	6	rotating	rotate	VERB
cana-4411	26	7	frame	frame	NOUN
cana-4411	26	8	.	.	PUNCT
cana-4411	27	1	hall	hall	NOUN
cana-4411	27	2	and	and	CCONJ
cana-4411	27	3	ion	ion	NOUN
cana-4411	27	4	-	-	PUNCT
cana-4411	27	5	slip	slip	NOUN
cana-4411	27	6	effects	effect	NOUN
cana-4411	27	7	were	be	AUX
cana-4411	27	8	taken	take	VERB
cana-4411	27	9	into	into	ADP
cana-4411	27	10	consideration	consideration	NOUN
cana-4411	27	11	when	when	SCONJ
cana-4411	27	12	m.	m.	NOUN
cana-4411	27	13	veera	veera	NOUN
cana-4411	27	14	krishna	krishna	PROPN
cana-4411	28	1	[	[	X
cana-4411	28	2	10	10	NUM
cana-4411	28	3	]	]	PUNCT
cana-4411	28	4	studied	study	VERB
cana-4411	28	5	the	the	DET
cana-4411	28	6	steady	steady	ADJ
cana-4411	28	7	mhd	mhd	NOUN
cana-4411	28	8	laminar	laminar	ADJ
cana-4411	28	9	flow	flow	NOUN
cana-4411	28	10	of	of	ADP
cana-4411	28	11	an	an	DET
cana-4411	28	12	elastico	elastico	NOUN
cana-4411	28	13	-	-	PUNCT
cana-4411	28	14	viscous	viscous	ADJ
cana-4411	28	15	,	,	PUNCT
cana-4411	28	16	electrically	electrically	ADV
cana-4411	28	17	conducting	conduct	VERB
cana-4411	28	18	walter	walter	PROPN
cana-4411	28	19	's	's	PART
cana-4411	28	20	b	b	PROPN
cana-4411	28	21	fluid	fluid	NOUN
cana-4411	28	22	through	through	ADP
cana-4411	28	23	a	a	DET
cana-4411	28	24	spherical	spherical	ADJ
cana-4411	28	25	cylinder	cylinder	NOUN
cana-4411	28	26	or	or	CCONJ
cana-4411	28	27	pipe	pipe	NOUN
cana-4411	28	28	that	that	PRON
cana-4411	28	29	is	be	AUX
cana-4411	28	30	loosely	loosely	ADV
cana-4411	28	31	packed	pack	VERB
cana-4411	28	32	with	with	ADP
cana-4411	28	33	porous	porous	ADJ
cana-4411	28	34	material	material	NOUN
cana-4411	28	35	.	.	PUNCT
cana-4411	29	1	m.	m.	NOUN
cana-4411	29	2	veera	veera	NOUN
cana-4411	29	3	krishna	krishna	PROPN
cana-4411	30	1	[	[	X
cana-4411	30	2	11	11	NUM
cana-4411	30	3	]	]	PUNCT
cana-4411	30	4	calculated	calculate	VERB
cana-4411	30	5	the	the	DET
cana-4411	30	6	effects	effect	NOUN
cana-4411	30	7	of	of	ADP
cana-4411	30	8	angle	angle	NOUN
cana-4411	30	9	of	of	ADP
cana-4411	30	10	inclination	inclination	NOUN
cana-4411	30	11	,	,	PUNCT
cana-4411	30	12	changing	change	VERB
cana-4411	30	13	temperature	temperature	NOUN
cana-4411	30	14	,	,	PUNCT
cana-4411	30	15	and	and	CCONJ
cana-4411	30	16	concentration	concentration	NOUN
cana-4411	30	17	on	on	ADP
cana-4411	30	18	the	the	DET
cana-4411	30	19	hall	hall	NOUN
cana-4411	30	20	and	and	CCONJ
cana-4411	30	21	ion	ion	NOUN
cana-4411	30	22	slip	slip	NOUN
cana-4411	30	23	effects	effect	NOUN
cana-4411	30	24	on	on	ADP
cana-4411	30	25	the	the	DET
cana-4411	30	26	unsteady	unsteady	ADJ
cana-4411	30	27	mhd	mhd	NOUN
cana-4411	30	28	free	free	ADJ
cana-4411	30	29	convective	convective	ADJ
cana-4411	30	30	flow	flow	NOUN
cana-4411	30	31	across	across	ADP
cana-4411	30	32	an	an	DET
cana-4411	30	33	exponentially	exponentially	ADV
cana-4411	30	34	accelerating	accelerate	VERB
cana-4411	30	35	inclined	inclined	ADJ
cana-4411	30	36	plate	plate	NOUN
cana-4411	30	37	embedded	embed	VERB
cana-4411	30	38	in	in	ADP
cana-4411	30	39	a	a	DET
cana-4411	30	40	saturated	saturate	VERB
cana-4411	30	41	porous	porous	ADJ
cana-4411	30	42	media	medium	NOUN
cana-4411	30	43	.	.	PUNCT
cana-4411	31	1	m.	m.	NOUN
cana-4411	31	2	veera	veera	NOUN
cana-4411	31	3	krishna	krishna	PROPN
cana-4411	32	1	[	[	X
cana-4411	32	2	12	12	NUM
cana-4411	32	3	]	]	PUNCT
cana-4411	32	4	studied	study	VERB
cana-4411	32	5	the	the	DET
cana-4411	32	6	effects	effect	NOUN
cana-4411	32	7	of	of	ADP
cana-4411	32	8	uniform	uniform	ADJ
cana-4411	32	9	transverse	transverse	NOUN
cana-4411	32	10	magnetic	magnetic	ADJ
cana-4411	32	11	field	field	NOUN
cana-4411	32	12	,	,	PUNCT
cana-4411	32	13	convective	convective	ADJ
cana-4411	32	14	boundary	boundary	ADJ
cana-4411	32	15	conditions	condition	NOUN
cana-4411	32	16	,	,	PUNCT
cana-4411	32	17	thermal	thermal	ADJ
cana-4411	32	18	radiation	radiation	NOUN
cana-4411	32	19	,	,	PUNCT
cana-4411	32	20	chemical	chemical	NOUN
cana-4411	32	21	reaction	reaction	NOUN
cana-4411	32	22	,	,	PUNCT
cana-4411	32	23	hall	hall	NOUN
cana-4411	32	24	,	,	PUNCT
cana-4411	32	25	and	and	CCONJ
cana-4411	32	26	ion	ion	NOUN
cana-4411	32	27	-	-	PUNCT
cana-4411	32	28	slip	slip	NOUN
cana-4411	32	29	on	on	ADP
cana-4411	32	30	convection	convection	NOUN
cana-4411	32	31	by	by	ADP
cana-4411	32	32	two	two	NUM
cana-4411	32	33	different	different	ADJ
cana-4411	32	34	level	level	NOUN
cana-4411	32	35	density	density	NOUN
cana-4411	32	36	with	with	ADP
cana-4411	32	37	different	different	ADJ
cana-4411	32	38	rate	rate	NOUN
cana-4411	32	39	diffusion	diffusion	NOUN
cana-4411	32	40	(	(	PUNCT
cana-4411	32	41	double	double	ADJ
cana-4411	32	42	-	-	PUNCT
cana-4411	32	43	diffusive	diffusive	ADJ
cana-4411	32	44	)	)	PUNCT
cana-4411	32	45	unstable	unstable	ADJ
cana-4411	32	46	mhd	mhd	NOUN
cana-4411	32	47	natural	natural	ADJ
cana-4411	32	48	convective	convective	ADJ
cana-4411	32	49	rotating	rotating	NOUN
cana-4411	32	50	flow	flow	NOUN
cana-4411	32	51	of	of	ADP
cana-4411	32	52	micropolar	micropolar	ADJ
cana-4411	32	53	fluid	fluid	NOUN
cana-4411	32	54	through	through	ADP
cana-4411	32	55	extending	extend	VERB
cana-4411	32	56	to	to	ADP
cana-4411	32	57	infinity	infinity	NOUN
cana-4411	32	58	in	in	ADP
cana-4411	32	59	one	one	NUM
cana-4411	32	60	direction	direction	NOUN
cana-4411	32	61	vertically	vertically	ADV
cana-4411	32	62	moving	move	VERB
cana-4411	32	63	porous	porous	ADJ
cana-4411	32	64	plate	plate	NOUN
cana-4411	32	65	.	.	PUNCT
cana-4411	33	1	dhananjay	dhananjay	PROPN
cana-4411	33	2	yadav	yadav	PROPN
cana-4411	34	1	[	[	X
cana-4411	34	2	13	13	NUM
cana-4411	34	3	]	]	PUNCT
cana-4411	34	4	investigated	investigate	VERB
cana-4411	34	5	the	the	DET
cana-4411	34	6	issue	issue	NOUN
cana-4411	34	7	of	of	ADP
cana-4411	34	8	convective	convective	ADJ
cana-4411	34	9	instability	instability	NOUN
cana-4411	34	10	for	for	ADP
cana-4411	34	11	an	an	DET
cana-4411	34	12	electrically	electrically	ADV
cana-4411	34	13	conducting	conduct	VERB
cana-4411	34	14	nanofluid	nanofluid	ADJ
cana-4411	34	15	layer	layer	NOUN
cana-4411	34	16	under	under	ADP
cana-4411	34	17	magnetic	magnetic	ADJ
cana-4411	34	18	field	field	NOUN
cana-4411	34	19	with	with	ADP
cana-4411	34	20	a	a	DET
cana-4411	34	21	physically	physically	ADV
cana-4411	34	22	more	more	ADV
cana-4411	34	23	realistic	realistic	ADJ
cana-4411	34	24	boundary	boundary	ADJ
cana-4411	34	25	condition	condition	NOUN
cana-4411	34	26	on	on	ADP
cana-4411	34	27	the	the	DET
cana-4411	34	28	volumetric	volumetric	ADJ
cana-4411	34	29	fraction	fraction	NOUN
cana-4411	34	30	of	of	ADP
cana-4411	34	31	nanoparticles	nanoparticle	NOUN
cana-4411	34	32	,	,	PUNCT
cana-4411	34	33	i.e.	i.e.	X
cana-4411	34	34	,	,	PUNCT
cana-4411	34	35	by	by	ADP
cana-4411	34	36	assuming	assume	VERB
cana-4411	34	37	that	that	SCONJ
cana-4411	34	38	the	the	DET
cana-4411	34	39	flux	flux	NOUN
cana-4411	34	40	of	of	ADP
cana-4411	34	41	nanoparticles	nanoparticle	NOUN
cana-4411	34	42	is	be	AUX
cana-4411	34	43	zero	zero	NUM
cana-4411	34	44	rather	rather	ADV
cana-4411	34	45	than	than	ADP
cana-4411	34	46	imposing	impose	VERB
cana-4411	34	47	the	the	DET
cana-4411	34	48	volumetric	volumetric	ADJ
cana-4411	34	49	fraction	fraction	NOUN
cana-4411	34	50	of	of	ADP
cana-4411	34	51	nanoparticles	nanoparticle	NOUN
cana-4411	34	52	on	on	ADP
cana-4411	34	53	rigid	rigid	ADJ
cana-4411	34	54	boundaries	boundary	NOUN
cana-4411	34	55	.	.	PUNCT
cana-4411	35	1	according	accord	VERB
cana-4411	35	2	to	to	ADP
cana-4411	35	3	m.	m.	NOUN
cana-4411	35	4	veera	veera	NOUN
cana-4411	35	5	krishna	krishna	PROPN
cana-4411	35	6	[	[	X
cana-4411	35	7	14	14	NUM
cana-4411	35	8	]	]	PUNCT
cana-4411	35	9	,	,	PUNCT
cana-4411	35	10	the	the	DET
cana-4411	35	11	effects	effect	NOUN
cana-4411	35	12	of	of	ADP
cana-4411	35	13	hall	hall	NOUN
cana-4411	35	14	and	and	CCONJ
cana-4411	35	15	ion	ion	NOUN
cana-4411	35	16	slip	slip	NOUN
cana-4411	35	17	on	on	ADP
cana-4411	35	18	the	the	DET
cana-4411	35	19	mhd	mhd	NOUN
cana-4411	35	20	convective	convective	ADJ
cana-4411	35	21	flow	flow	NOUN
cana-4411	35	22	of	of	ADP
cana-4411	35	23	elastico	elastico	NOUN
cana-4411	35	24	-	-	PUNCT
cana-4411	35	25	viscous	viscous	ADJ
cana-4411	35	26	fluid	fluid	NOUN
cana-4411	35	27	through	through	ADP
cana-4411	35	28	a	a	DET
cana-4411	35	29	porous	porous	ADJ
cana-4411	35	30	media	medium	NOUN
cana-4411	35	31	between	between	ADP
cana-4411	35	32	two	two	NUM
cana-4411	35	33	rigidly	rigidly	ADV
cana-4411	35	34	rotating	rotate	VERB
cana-4411	35	35	parallel	parallel	ADJ
cana-4411	35	36	plates	plate	NOUN
cana-4411	35	37	with	with	ADP
cana-4411	35	38	a	a	DET
cana-4411	35	39	time	time	NOUN
cana-4411	35	40	-	-	PUNCT
cana-4411	35	41	varying	vary	VERB
cana-4411	35	42	sinusoidal	sinusoidal	NOUN
cana-4411	35	43	pressure	pressure	NOUN
cana-4411	35	44	gradient	gradient	NOUN
cana-4411	35	45	were	be	AUX
cana-4411	35	46	studied	study	VERB
cana-4411	35	47	.	.	PUNCT
cana-4411	36	1	d.	d.	PROPN
cana-4411	36	2	srinivasacharya	srinivasacharya	PROPN
cana-4411	37	1	[	[	X
cana-4411	37	2	15]looks	15]looks	NUM
cana-4411	37	3	at	at	ADP
cana-4411	37	4	how	how	SCONJ
cana-4411	37	5	the	the	DET
cana-4411	37	6	magnetic	magnetic	ADJ
cana-4411	37	7	field	field	NOUN
cana-4411	37	8	affects	affect	VERB
cana-4411	37	9	the	the	DET
cana-4411	37	10	mixed	mixed	ADJ
cana-4411	37	11	convective	convective	ADJ
cana-4411	37	12	flow	flow	NOUN
cana-4411	37	13	of	of	ADP
cana-4411	37	14	nano	nano	NOUN
cana-4411	37	15	fluid	fluid	NOUN
cana-4411	37	16	between	between	ADP
cana-4411	37	17	the	the	DET
cana-4411	37	18	annuli	annuli	NOUN
cana-4411	37	19	of	of	ADP
cana-4411	37	20	two	two	NUM
cana-4411	37	21	concentric	concentric	ADJ
cana-4411	37	22	co	co	ADJ
cana-4411	37	23	-	-	ADJ
cana-4411	37	24	axial	axial	ADJ
cana-4411	37	25	cylinders	cylinder	NOUN
cana-4411	37	26	using	use	VERB
cana-4411	37	27	the	the	DET
cana-4411	37	28	characteristics	characteristic	NOUN
cana-4411	37	29	of	of	ADP
cana-4411	37	30	thermophoresis	thermophoresis	NOUN
cana-4411	37	31	,	,	PUNCT
cana-4411	37	32	brownian	brownian	ADJ
cana-4411	37	33	motion	motion	NOUN
cana-4411	37	34	,	,	PUNCT
cana-4411	37	35	hall	hall	NOUN
cana-4411	37	36	,	,	PUNCT
cana-4411	37	37	and	and	CCONJ
cana-4411	37	38	ion	ion	NOUN
cana-4411	37	39	slip	slip	NOUN
cana-4411	37	40	.	.	PUNCT
cana-4411	38	1	in	in	ADP
cana-4411	38	2	this	this	DET
cana-4411	38	3	research	research	NOUN
cana-4411	38	4	,	,	PUNCT
cana-4411	38	5	dulal	dulal	PROPN
cana-4411	38	6	pala	pala	PROPN
cana-4411	39	1	[	[	X
cana-4411	39	2	16	16	NUM
cana-4411	39	3	]	]	PUNCT
cana-4411	39	4	looks	look	VERB
cana-4411	39	5	at	at	ADP
cana-4411	39	6	the	the	DET
cana-4411	39	7	impact	impact	NOUN
cana-4411	39	8	of	of	ADP
cana-4411	39	9	thermal	thermal	ADJ
cana-4411	39	10	radiation	radiation	NOUN
cana-4411	39	11	and	and	CCONJ
cana-4411	39	12	chemical	chemical	NOUN
cana-4411	39	13	reaction	reaction	NOUN
cana-4411	39	14	on	on	ADP
cana-4411	39	15	the	the	DET
cana-4411	39	16	doublediffusive	doublediffusive	ADJ
cana-4411	39	17	convective	convective	ADJ
cana-4411	39	18	heat	heat	NOUN
cana-4411	39	19	and	and	CCONJ
cana-4411	39	20	mass	mass	NOUN
cana-4411	39	21	transfer	transfer	NOUN
cana-4411	39	22	of	of	ADP
cana-4411	39	23	mhd	mhd	NOUN
cana-4411	39	24	oscillatory	oscillatory	ADJ
cana-4411	39	25	flow	flow	NOUN
cana-4411	39	26	of	of	ADP
cana-4411	39	27	a	a	DET
cana-4411	39	28	micropolar	micropolar	ADJ
cana-4411	39	29	fluid	fluid	NOUN
cana-4411	39	30	across	across	ADP
cana-4411	39	31	a	a	DET
cana-4411	39	32	vertical	vertical	ADJ
cana-4411	39	33	plate	plate	NOUN
cana-4411	39	34	embedded	embed	VERB
cana-4411	39	35	in	in	ADP
cana-4411	39	36	a	a	DET
cana-4411	39	37	porous	porous	ADJ
cana-4411	39	38	medium	medium	NOUN
cana-4411	39	39	with	with	ADP
cana-4411	39	40	convective	convective	ADJ
cana-4411	39	41	boundary	boundary	ADJ
cana-4411	39	42	conditions	condition	NOUN
cana-4411	39	43	.	.	PUNCT
cana-4411	40	1	muhammad	muhammad	PROPN
cana-4411	40	2	sohail	sohail	PROPN
cana-4411	41	1	[	[	X
cana-4411	41	2	17	17	NUM
cana-4411	41	3	]	]	PUNCT
cana-4411	41	4	used	use	VERB
cana-4411	41	5	a	a	DET
cana-4411	41	6	theoretical	theoretical	ADJ
cana-4411	41	7	and	and	CCONJ
cana-4411	41	8	numerical	numerical	ADJ
cana-4411	41	9	technique	technique	NOUN
cana-4411	41	10	to	to	PART
cana-4411	41	11	analyze	analyze	VERB
cana-4411	41	12	mhd	mhd	PROPN
cana-4411	41	13	threedimensional	threedimensional	ADJ
cana-4411	41	14	boundary	boundary	ADJ
cana-4411	41	15	layer	layer	NOUN
cana-4411	41	16	movement	movement	NOUN
cana-4411	41	17	of	of	ADP
cana-4411	41	18	a	a	DET
cana-4411	41	19	steady	steady	ADJ
cana-4411	41	20	incompressible	incompressible	ADJ
cana-4411	41	21	casson	casson	NOUN
cana-4411	41	22	fluid	fluid	NOUN
cana-4411	41	23	through	through	ADP
cana-4411	41	24	a	a	DET
cana-4411	41	25	rectilinear	rectilinear	ADJ
cana-4411	41	26	stretchy	stretchy	ADJ
cana-4411	41	27	surface	surface	NOUN
cana-4411	41	28	with	with	ADP
cana-4411	41	29	cattaneo	cattaneo	ADJ
cana-4411	41	30	-	-	PUNCT
cana-4411	41	31	christov	christov	ADJ
cana-4411	41	32	convection	convection	NOUN
cana-4411	41	33	by	by	ADP
cana-4411	41	34	two	two	NUM
cana-4411	41	35	different	different	ADJ
cana-4411	41	36	level	level	NOUN
cana-4411	41	37	density	density	NOUN
cana-4411	41	38	with	with	ADP
cana-4411	41	39	different	different	ADJ
cana-4411	41	40	rate	rate	NOUN
cana-4411	41	41	diffusion	diffusion	NOUN
cana-4411	41	42	(	(	PUNCT
cana-4411	41	43	double	double	ADJ
cana-4411	41	44	diffusion	diffusion	NOUN
cana-4411	41	45	)	)	PUNCT
cana-4411	41	46	.	.	PUNCT
cana-4411	42	1	the	the	DET
cana-4411	42	2	unsteady	unsteady	ADJ
cana-4411	42	3	natural	natural	ADJ
cana-4411	42	4	convection	convection	NOUN
cana-4411	42	5	flow	flow	NOUN
cana-4411	42	6	of	of	ADP
cana-4411	42	7	a	a	DET
cana-4411	42	8	rotating	rotate	VERB
cana-4411	42	9	fluid	fluid	NOUN
cana-4411	42	10	over	over	ADV
cana-4411	42	11	and	and	CCONJ
cana-4411	42	12	done	do	VERB
cana-4411	42	13	with	with	ADP
cana-4411	42	14	an	an	DET
cana-4411	42	15	exponentially	exponentially	ADV
cana-4411	42	16	accelerated	accelerate	VERB
cana-4411	42	17	perpendicular	perpendicular	ADJ
cana-4411	42	18	plate	plate	NOUN
cana-4411	42	19	with	with	ADP
cana-4411	42	20	hall	hall	PROPN
cana-4411	42	21	current	current	ADJ
cana-4411	42	22	,	,	PUNCT
cana-4411	42	23	ion	ion	NOUN
cana-4411	42	24	-	-	PUNCT
cana-4411	42	25	slip	slip	NOUN
cana-4411	42	26	,	,	PUNCT
cana-4411	42	27	and	and	CCONJ
cana-4411	42	28	magnetic	magnetic	ADJ
cana-4411	42	29	effect	effect	NOUN
cana-4411	42	30	is	be	AUX
cana-4411	42	31	examined	examine	VERB
cana-4411	42	32	by	by	ADP
cana-4411	42	33	jitendra	jitendra	PROPN
cana-4411	42	34	kumar	kumar	PROPN
cana-4411	42	35	singh	singh	PROPN
cana-4411	43	1	[	[	X
cana-4411	43	2	18	18	NUM
cana-4411	43	3	]	]	PUNCT
cana-4411	43	4	.	.	PUNCT
cana-4411	44	1	from	from	ADP
cana-4411	44	2	all	all	DET
cana-4411	44	3	the	the	DET
cana-4411	44	4	aforementioned	aforementioned	ADJ
cana-4411	44	5	,	,	PUNCT
cana-4411	44	6	hall	hall	NOUN
cana-4411	44	7	,	,	PUNCT
cana-4411	44	8	and	and	CCONJ
cana-4411	44	9	ion	ion	NOUN
cana-4411	44	10	slip	slip	NOUN
cana-4411	44	11	impacts	impact	NOUN
cana-4411	44	12	with	with	ADP
cana-4411	44	13	thermal	thermal	ADJ
cana-4411	44	14	radiation	radiation	NOUN
cana-4411	44	15	and	and	CCONJ
cana-4411	44	16	chemical	chemical	NOUN
cana-4411	44	17	reaction	reaction	NOUN
cana-4411	44	18	on	on	ADP
cana-4411	44	19	the	the	DET
cana-4411	44	20	convection	convection	NOUN
cana-4411	44	21	by	by	ADP
cana-4411	44	22	two	two	NUM
cana-4411	44	23	different	different	ADJ
cana-4411	44	24	level	level	NOUN
cana-4411	44	25	density	density	NOUN
cana-4411	44	26	with	with	ADP
cana-4411	44	27	different	different	ADJ
cana-4411	44	28	rate	rate	NOUN
cana-4411	44	29	diffusion	diffusion	NOUN
cana-4411	44	30	(	(	PUNCT
cana-4411	44	31	double	double	ADJ
cana-4411	44	32	-	-	PUNCT
cana-4411	44	33	diffusive	diffusive	ADJ
cana-4411	44	34	)	)	PUNCT
cana-4411	44	35	unsteady	unsteady	ADJ
cana-4411	44	36	mhd	mhd	X
cana-4411	44	37	natural	natural	ADJ
cana-4411	44	38	convective	convective	ADJ
cana-4411	44	39	rotating	rotating	NOUN
cana-4411	44	40	flow	flow	NOUN
cana-4411	44	41	of	of	ADP
cana-4411	44	42	micro	micro	ADJ
cana-4411	44	43	-	-	ADJ
cana-4411	44	44	polar	polar	ADJ
cana-4411	44	45	casson	casson	NOUN
cana-4411	44	46	fluid	fluid	NOUN
cana-4411	44	47	over	over	ADV
cana-4411	44	48	and	and	CCONJ
cana-4411	44	49	done	do	VERB
cana-4411	44	50	with	with	ADP
cana-4411	44	51	a	a	DET
cana-4411	44	52	communications	communication	NOUN
cana-4411	44	53	on	on	ADP
cana-4411	44	54	applied	apply	VERB
cana-4411	44	55	nonlinear	nonlinear	ADJ
cana-4411	44	56	analysis	analysis	NOUN
cana-4411	44	57	issn	issn	NOUN
cana-4411	44	58	:	:	PUNCT
cana-4411	44	59	1074	1074	NUM
cana-4411	44	60	-	-	PUNCT
cana-4411	44	61	133x	133x	NUM
cana-4411	44	62	vol	vol	NOUN
cana-4411	44	63	31	31	NUM
cana-4411	44	64	no	no	NOUN
cana-4411	44	65	.	.	PUNCT
cana-4411	45	1	8s	8s	PROPN
cana-4411	45	2	(	(	PUNCT
cana-4411	45	3	2024	2024	NUM
cana-4411	45	4	)	)	PUNCT
cana-4411	45	5	796	796	NUM
cana-4411	45	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	45	7	semi	semi	ADJ
cana-4411	45	8	-	-	ADJ
cana-4411	45	9	infinite	infinite	ADJ
cana-4411	45	10	perpendicular	perpendicular	ADJ
cana-4411	45	11	porous	porous	ADJ
cana-4411	45	12	wavy	wavy	ADJ
cana-4411	45	13	channel	channel	NOUN
cana-4411	45	14	through	through	ADP
cana-4411	45	15	convective	convective	ADJ
cana-4411	45	16	boundary	boundary	ADJ
cana-4411	45	17	conditions	condition	NOUN
cana-4411	45	18	has	have	AUX
cana-4411	45	19	not	not	PART
cana-4411	45	20	been	be	AUX
cana-4411	45	21	yet	yet	ADV
cana-4411	45	22	discussed	discuss	VERB
cana-4411	45	23	.	.	PUNCT
cana-4411	46	1	thus	thus	ADV
cana-4411	46	2	,	,	PUNCT
cana-4411	46	3	it	it	PRON
cana-4411	46	4	has	have	AUX
cana-4411	46	5	been	be	AUX
cana-4411	46	6	planned	plan	VERB
cana-4411	46	7	to	to	PART
cana-4411	46	8	examine	examine	VERB
cana-4411	46	9	the	the	DET
cana-4411	46	10	impacts	impact	NOUN
cana-4411	46	11	of	of	ADP
cana-4411	46	12	thermal	thermal	ADJ
cana-4411	46	13	radiation	radiation	NOUN
cana-4411	46	14	,	,	PUNCT
cana-4411	46	15	chemical	chemical	NOUN
cana-4411	46	16	reaction	reaction	NOUN
cana-4411	46	17	,	,	PUNCT
cana-4411	46	18	soret	soret	VERB
cana-4411	46	19	with	with	ADP
cana-4411	46	20	hall	hall	NOUN
cana-4411	46	21	and	and	CCONJ
cana-4411	46	22	ion	ion	NOUN
cana-4411	46	23	slip	slip	NOUN
cana-4411	46	24	effects	effect	NOUN
cana-4411	46	25	,	,	PUNCT
cana-4411	46	26	and	and	CCONJ
cana-4411	46	27	convective	convective	ADJ
cana-4411	46	28	boundary	boundary	ADJ
cana-4411	46	29	conditions	condition	NOUN
cana-4411	46	30	on	on	ADP
cana-4411	46	31	unsteady	unsteady	ADJ
cana-4411	46	32	mhd	mhd	X
cana-4411	46	33	natural	natural	ADJ
cana-4411	46	34	convective	convective	ADJ
cana-4411	46	35	rotating	rotating	NOUN
cana-4411	46	36	flow	flow	NOUN
cana-4411	46	37	of	of	ADP
cana-4411	46	38	micro	micro	ADJ
cana-4411	46	39	-	-	ADJ
cana-4411	46	40	polar	polar	ADJ
cana-4411	46	41	casson	casson	NOUN
cana-4411	46	42	fluid	fluid	NOUN
cana-4411	46	43	over	over	ADV
cana-4411	46	44	and	and	CCONJ
cana-4411	46	45	done	do	VERB
cana-4411	46	46	with	with	ADP
cana-4411	46	47	a	a	DET
cana-4411	46	48	semi	semi	ADJ
cana-4411	46	49	-	-	ADJ
cana-4411	46	50	infinite	infinite	ADJ
cana-4411	46	51	perpendicular	perpendicular	ADJ
cana-4411	46	52	moving	move	VERB
cana-4411	46	53	porous	porous	ADJ
cana-4411	46	54	plate	plate	NOUN
cana-4411	46	55	.	.	PUNCT
cana-4411	47	1	2	2	X
cana-4411	47	2	.	.	X
cana-4411	47	3	mathematical	mathematical	ADJ
cana-4411	47	4	formulation	formulation	NOUN
cana-4411	47	5	the	the	DET
cana-4411	47	6	consequences	consequence	NOUN
cana-4411	47	7	of	of	ADP
cana-4411	47	8	thermal	thermal	ADJ
cana-4411	47	9	diffusivity	diffusivity	NOUN
cana-4411	47	10	,	,	PUNCT
cana-4411	47	11	chemical	chemical	NOUN
cana-4411	47	12	reaction	reaction	NOUN
cana-4411	47	13	,	,	PUNCT
cana-4411	47	14	hall	hall	NOUN
cana-4411	47	15	impacts	impact	NOUN
cana-4411	47	16	,	,	PUNCT
cana-4411	47	17	and	and	CCONJ
cana-4411	47	18	ion	ion	NOUN
cana-4411	47	19	slip	slip	NOUN
cana-4411	47	20	are	be	AUX
cana-4411	47	21	measured	measure	VERB
cana-4411	47	22	.	.	PUNCT
cana-4411	48	1	the	the	DET
cana-4411	48	2	investigation	investigation	NOUN
cana-4411	48	3	is	be	AUX
cana-4411	48	4	done	do	VERB
cana-4411	48	5	with	with	ADP
cana-4411	48	6	the	the	DET
cana-4411	48	7	impact	impact	NOUN
cana-4411	48	8	of	of	ADP
cana-4411	48	9	a	a	DET
cana-4411	48	10	diagonal	diagonal	ADJ
cana-4411	48	11	magnetic	magnetic	ADJ
cana-4411	48	12	field	field	NOUN
cana-4411	48	13	and	and	CCONJ
cana-4411	48	14	convective	convective	ADJ
cana-4411	48	15	boundary	boundary	ADJ
cana-4411	48	16	conditions	condition	NOUN
cana-4411	48	17	on	on	ADP
cana-4411	48	18	incompressible	incompressible	ADJ
cana-4411	48	19	an	an	DET
cana-4411	48	20	unstable	unstable	ADJ
cana-4411	48	21	free	free	ADJ
cana-4411	48	22	convective	convective	ADJ
cana-4411	48	23	hydromagnetic	hydromagnetic	ADJ
cana-4411	48	24	micropolar	micropolar	ADJ
cana-4411	48	25	casson	casson	PROPN
cana-4411	48	26	fluid	fluid	NOUN
cana-4411	48	27	flow	flow	NOUN
cana-4411	48	28	confined	confine	VERB
cana-4411	48	29	through	through	ADP
cana-4411	48	30	extending	extend	VERB
cana-4411	48	31	to	to	ADP
cana-4411	48	32	infinity	infinity	NOUN
cana-4411	48	33	in	in	ADP
cana-4411	48	34	one	one	NUM
cana-4411	48	35	direction	direction	NOUN
cana-4411	48	36	in	in	ADP
cana-4411	48	37	porous	porous	ADJ
cana-4411	48	38	plate	plate	NOUN
cana-4411	48	39	within	within	ADP
cana-4411	48	40	a	a	DET
cana-4411	48	41	rotating	rotate	VERB
cana-4411	48	42	frame	frame	NOUN
cana-4411	48	43	.	.	PUNCT
cana-4411	49	1	the	the	DET
cana-4411	49	2	wavy	wavy	ADJ
cana-4411	49	3	channel	channel	NOUN
cana-4411	49	4	one	one	NUM
cana-4411	49	5	side	side	NOUN
cana-4411	49	6	wall	wall	NOUN
cana-4411	49	7	xadhz	xadhz	PROPN
cana-4411	49	8	cos	co	NOUN
cana-4411	49	9	'	'	PUNCT
cana-4411	49	10	+	+	NOUN
cana-4411	49	11	=	=	NOUN
cana-4411	49	12	=	=	X
cana-4411	49	13	at	at	ADP
cana-4411	49	14	z	z	NOUN
cana-4411	49	15	=	=	PROPN
cana-4411	49	16	h	h	NOUN
cana-4411	49	17	.in	.in	PUNCT
cana-4411	49	18	this	this	DET
cana-4411	49	19	case	case	NOUN
cana-4411	49	20	,	,	PUNCT
cana-4411	49	21	the	the	DET
cana-4411	49	22	effects	effect	NOUN
cana-4411	49	23	of	of	ADP
cana-4411	49	24	soret	soret	NOUN
cana-4411	49	25	,	,	PUNCT
cana-4411	49	26	chemical	chemical	NOUN
cana-4411	49	27	reactions	reaction	NOUN
cana-4411	49	28	,	,	PUNCT
cana-4411	49	29	hall	hall	NOUN
cana-4411	49	30	,	,	PUNCT
cana-4411	49	31	and	and	CCONJ
cana-4411	49	32	ion	ion	NOUN
cana-4411	49	33	slip	slip	NOUN
cana-4411	49	34	impacts	impact	NOUN
cana-4411	49	35	are	be	AUX
cana-4411	49	36	considered	consider	VERB
cana-4411	49	37	.	.	PUNCT
cana-4411	50	1			PUNCT
cana-4411	50	2	the	the	DET
cana-4411	50	3	occurrence	occurrence	NOUN
cana-4411	50	4	of	of	ADP
cana-4411	50	5	heat	heat	NOUN
cana-4411	50	6	and	and	CCONJ
cana-4411	50	7	concentration	concentration	NOUN
cana-4411	50	8	buoyancy	buoyancy	NOUN
cana-4411	50	9	forces	force	NOUN
cana-4411	50	10	causes	cause	VERB
cana-4411	50	11	a	a	DET
cana-4411	50	12	uniform	uniform	ADJ
cana-4411	50	13	transverse	transverse	NOUN
cana-4411	50	14	magnetic	magnetic	ADJ
cana-4411	50	15	field	field	NOUN
cana-4411	50	16	to	to	PART
cana-4411	50	17	impose	impose	VERB
cana-4411	50	18	on	on	ADP
cana-4411	50	19	the	the	DET
cana-4411	50	20	flow	flow	NOUN
cana-4411	50	21	motion	motion	NOUN
cana-4411	50	22	.	.	PUNCT
cana-4411	51	1			X
cana-4411	51	2	initial	initial	ADJ
cana-4411	51	3	and	and	CCONJ
cana-4411	51	4	uninterrupted	uninterrupted	ADJ
cana-4411	51	5	condition	condition	NOUN
cana-4411	51	6	,	,	PUNCT
cana-4411	51	7	micropolar	micropolar	ADJ
cana-4411	51	8	casson	casson	PROPN
cana-4411	51	9	fluid	fluid	NOUN
cana-4411	51	10	and	and	CCONJ
cana-4411	51	11	plate	plate	NOUN
cana-4411	51	12	have	have	AUX
cana-4411	51	13	been	be	AUX
cana-4411	51	14	rigidly	rigidly	ADV
cana-4411	51	15	rotating	rotate	VERB
cana-4411	51	16	by	by	ADP
cana-4411	51	17	means	mean	NOUN
cana-4411	51	18	of	of	ADP
cana-4411	51	19	the	the	DET
cana-4411	51	20	same	same	ADJ
cana-4411	51	21	angular	angular	ADJ
cana-4411	51	22	velocity	velocity	NOUN
cana-4411	51	23	with	with	ADP
cana-4411	51	24	respect	respect	NOUN
cana-4411	51	25	to	to	ADP
cana-4411	51	26	the	the	DET
cana-4411	51	27	normal	normal	ADJ
cana-4411	51	28	to	to	ADP
cana-4411	51	29	the	the	DET
cana-4411	51	30	plate	plate	NOUN
cana-4411	51	31	.	.	PUNCT
cana-4411	52	1			PUNCT
cana-4411	52	2	as	as	SCONJ
cana-4411	52	3	seen	see	VERB
cana-4411	52	4	in	in	ADP
cana-4411	52	5	figure	figure	NOUN
cana-4411	52	6	1	1	NUM
cana-4411	52	7	,	,	PUNCT
cana-4411	52	8	the	the	DET
cana-4411	52	9	z	z	NOUN
cana-4411	52	10	-	-	PUNCT
cana-4411	52	11	axis	axis	NOUN
cana-4411	52	12	is	be	AUX
cana-4411	52	13	at	at	ADP
cana-4411	52	14	right	right	ADJ
cana-4411	52	15	angles	angle	NOUN
cana-4411	52	16	to	to	ADP
cana-4411	52	17	the	the	DET
cana-4411	52	18	x	x	NOUN
cana-4411	52	19	-	-	NOUN
cana-4411	52	20	axis	axis	NOUN
cana-4411	52	21	and	and	CCONJ
cana-4411	52	22	is	be	AUX
cana-4411	52	23	taken	take	VERB
cana-4411	52	24	into	into	ADP
cana-4411	52	25	account	account	NOUN
cana-4411	52	26	with	with	ADP
cana-4411	52	27	the	the	DET
cana-4411	52	28	plate	plate	NOUN
cana-4411	52	29	in	in	ADP
cana-4411	52	30	the	the	DET
cana-4411	52	31	vertical	vertical	ADJ
cana-4411	52	32	direction	direction	NOUN
cana-4411	52	33	.	.	PUNCT
cana-4411	53	1			PUNCT
cana-4411	53	2	the	the	DET
cana-4411	53	3	applied	apply	VERB
cana-4411	53	4	magnetic	magnetic	ADJ
cana-4411	53	5	field	field	NOUN
cana-4411	53	6	dominates	dominate	VERB
cana-4411	53	7	over	over	ADP
cana-4411	53	8	the	the	DET
cana-4411	53	9	magnetic	magnetic	ADJ
cana-4411	53	10	field	field	NOUN
cana-4411	53	11	that	that	PRON
cana-4411	53	12	is	be	AUX
cana-4411	53	13	induced	induce	VERB
cana-4411	53	14	.	.	PUNCT
cana-4411	54	1	the	the	DET
cana-4411	54	2	magnetic	magnetic	ADJ
cana-4411	54	3	field	field	NOUN
cana-4411	54	4	is	be	AUX
cana-4411	54	5	considered	consider	VERB
cana-4411	54	6	to	to	PART
cana-4411	54	7	have	have	VERB
cana-4411	54	8	a	a	DET
cana-4411	54	9	lower	low	ADJ
cana-4411	54	10	density	density	NOUN
cana-4411	54	11	.	.	PUNCT
cana-4411	55	1			PUNCT
cana-4411	55	2	the	the	DET
cana-4411	55	3	fluid	fluid	NOUN
cana-4411	55	4	is	be	AUX
cana-4411	55	5	said	say	VERB
cana-4411	55	6	to	to	PART
cana-4411	55	7	be	be	AUX
cana-4411	55	8	gray	gray	ADJ
cana-4411	55	9	and	and	CCONJ
cana-4411	55	10	to	to	ADP
cana-4411	55	11	either	either	PRON
cana-4411	55	12	emit	emit	VERB
cana-4411	55	13	or	or	CCONJ
cana-4411	55	14	absorb	absorb	VERB
cana-4411	55	15	radiation	radiation	NOUN
cana-4411	55	16	.	.	PUNCT
cana-4411	56	1			PUNCT
cana-4411	56	2	the	the	DET
cana-4411	56	3	rosseland	rosseland	PROPN
cana-4411	56	4	approximation	approximation	NOUN
cana-4411	56	5	is	be	AUX
cana-4411	56	6	applied	apply	VERB
cana-4411	56	7	to	to	PART
cana-4411	56	8	represent	represent	VERB
cana-4411	56	9	the	the	DET
cana-4411	56	10	radiative	radiative	ADJ
cana-4411	56	11	heat	heat	NOUN
cana-4411	56	12	flux	flux	NOUN
cana-4411	56	13	in	in	ADP
cana-4411	56	14	the	the	DET
cana-4411	56	15	z	z	NOUN
cana-4411	56	16	-	-	NOUN
cana-4411	56	17	direction	direction	NOUN
cana-4411	56	18	.	.	PUNCT
cana-4411	57	1			PUNCT
cana-4411	57	2	the	the	DET
cana-4411	57	3	plate	plate	NOUN
cana-4411	57	4	moves	move	VERB
cana-4411	57	5	up	up	ADP
cana-4411	57	6	along	along	ADP
cana-4411	57	7	its	its	PRON
cana-4411	57	8	own	own	ADJ
cana-4411	57	9	plane	plane	NOUN
cana-4411	57	10	constantly	constantly	ADV
cana-4411	57	11	and	and	CCONJ
cana-4411	57	12	uniformly	uniformly	ADV
cana-4411	57	13	.	.	PUNCT
cana-4411	58	1			VERB
cana-4411	58	2	it	it	PRON
cana-4411	58	3	is	be	AUX
cana-4411	58	4	expected	expect	VERB
cana-4411	58	5	that	that	SCONJ
cana-4411	58	6	the	the	DET
cana-4411	58	7	surface	surface	NOUN
cana-4411	58	8	temperature	temperature	NOUN
cana-4411	58	9	will	will	AUX
cana-4411	58	10	remain	remain	VERB
cana-4411	58	11	constant	constant	ADJ
cana-4411	58	12	at	at	ADP
cana-4411	58	13	tw	tw	NOUN
cana-4411	58	14	even	even	ADV
cana-4411	58	15	though	though	SCONJ
cana-4411	58	16	the	the	DET
cana-4411	58	17	ambient	ambient	ADJ
cana-4411	58	18	temperature	temperature	NOUN
cana-4411	58	19	take	take	VERB
cana-4411	58	20	hold	hold	VERB
cana-4411	58	21	off	off	ADP
cana-4411	58	22	on	on	ADP
cana-4411	58	23	the	the	DET
cana-4411	58	24	constant	constant	ADJ
cana-4411	58	25	value	value	NOUN
cana-4411	58	26	t	t	PROPN
cana-4411	58	27	,	,	PUNCT
cana-4411	58	28	resulting	result	VERB
cana-4411	58	29	in	in	ADP
cana-4411	58	30	the	the	DET
cana-4411	58	31	relationship	relationship	NOUN
cana-4411	58	32	tw	tw	INTJ
cana-4411	58	33	>	>	X
cana-4411	58	34	t.	t.	PROPN
cana-4411	58	35			PUNCT
cana-4411	58	36	concentration	concentration	NOUN
cana-4411	58	37	close	close	ADV
cana-4411	58	38	to	to	ADP
cana-4411	58	39	the	the	DET
cana-4411	58	40	boundary	boundary	ADJ
cana-4411	58	41	surface	surface	NOUN
cana-4411	58	42	be	be	AUX
cana-4411	58	43	consistently	consistently	ADV
cana-4411	58	44	considered	consider	VERB
cana-4411	58	45	as	as	ADP
cana-4411	58	46	cw	cw	NOUN
cana-4411	58	47	,	,	PUNCT
cana-4411	58	48	while	while	SCONJ
cana-4411	58	49	ambient	ambient	ADJ
cana-4411	58	50	fluid	fluid	NOUN
cana-4411	58	51	concentration	concentration	NOUN
cana-4411	58	52	be	be	AUX
cana-4411	58	53	taken	take	VERB
cana-4411	58	54	as	as	ADP
cana-4411	58	55	c.	c.	NOUN
cana-4411	58	56	the	the	DET
cana-4411	58	57	boundary	boundary	ADJ
cana-4411	58	58	layer	layer	NOUN
cana-4411	58	59	equations	equation	NOUN
cana-4411	58	60	for	for	ADP
cana-4411	58	61	motion	motion	NOUN
cana-4411	58	62	,	,	PUNCT
cana-4411	58	63	energy	energy	NOUN
cana-4411	58	64	,	,	PUNCT
cana-4411	58	65	and	and	CCONJ
cana-4411	58	66	mass	mass	ADJ
cana-4411	58	67	diffusion	diffusion	NOUN
cana-4411	58	68	in	in	ADP
cana-4411	58	69	the	the	DET
cana-4411	58	70	presence	presence	NOUN
cana-4411	58	71	of	of	ADP
cana-4411	58	72	a	a	DET
cana-4411	58	73	uniform	uniform	ADJ
cana-4411	58	74	transverse	transverse	NOUN
cana-4411	58	75	magnetic	magnetic	ADJ
cana-4411	58	76	field	field	NOUN
cana-4411	58	77	and	and	CCONJ
cana-4411	58	78	the	the	DET
cana-4411	58	79	frequency	frequency	NOUN
cana-4411	58	80	of	of	ADP
cana-4411	58	81	thermal	thermal	ADJ
cana-4411	58	82	diffusion	diffusion	NOUN
cana-4411	58	83	and	and	CCONJ
cana-4411	58	84	chemical	chemical	NOUN
cana-4411	58	85	reaction	reaction	NOUN
cana-4411	58	86	remained	remain	VERB
cana-4411	58	87	as	as	SCONJ
cana-4411	58	88	follows	follow	VERB
cana-4411	58	89	under	under	ADP
cana-4411	58	90	these	these	DET
cana-4411	58	91	presumptions	presumption	NOUN
cana-4411	58	92	.	.	PUNCT
cana-4411	59	1	the	the	DET
cana-4411	59	2	flow	flow	NOUN
cana-4411	59	3	of	of	ADP
cana-4411	59	4	governing	govern	VERB
cana-4411	59	5	equations	equation	NOUN
cana-4411	59	6	[	[	X
cana-4411	59	7	12	12	NUM
cana-4411	59	8	]	]	PUNCT
cana-4411	59	9	figure	figure	NOUN
cana-4411	59	10	1	1	NUM
cana-4411	59	11	:	:	PUNCT
cana-4411	59	12	physical	physical	ADJ
cana-4411	59	13	model	model	NOUN
cana-4411	59	14	of	of	ADP
cana-4411	59	15	the	the	DET
cana-4411	59	16	problem	problem	NOUN
cana-4411	59	17	communications	communication	NOUN
cana-4411	59	18	on	on	ADP
cana-4411	59	19	applied	apply	VERB
cana-4411	59	20	nonlinear	nonlinear	ADJ
cana-4411	59	21	analysis	analysis	NOUN
cana-4411	59	22	issn	issn	NOUN
cana-4411	59	23	:	:	PUNCT
cana-4411	59	24	1074	1074	NUM
cana-4411	59	25	-	-	PUNCT
cana-4411	59	26	133x	133x	NUM
cana-4411	59	27	vol	vol	NOUN
cana-4411	59	28	31	31	NUM
cana-4411	59	29	no	no	NOUN
cana-4411	59	30	.	.	PUNCT
cana-4411	60	1	8s	8s	PROPN
cana-4411	60	2	(	(	PUNCT
cana-4411	60	3	2024	2024	NUM
cana-4411	60	4	)	)	PUNCT
cana-4411	60	5	797	797	NUM
cana-4411	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	60	7	governing	govern	VERB
cana-4411	60	8	equations	equation	NOUN
cana-4411	60	9	(	(	PUNCT
cana-4411	60	10	1	1	NUM
cana-4411	60	11	)	)	PUNCT
cana-4411	60	12	(	(	PUNCT
cana-4411	60	13	2	2	NUM
cana-4411	60	14	)	)	PUNCT
cana-4411	60	15	(	(	PUNCT
cana-4411	60	16	3	3	X
cana-4411	60	17	)	)	PUNCT
cana-4411	60	18	(	(	PUNCT
cana-4411	60	19	4	4	NUM
cana-4411	60	20	)	)	PUNCT
cana-4411	60	21	(	(	PUNCT
cana-4411	60	22	5	5	NUM
cana-4411	60	23	)	)	PUNCT
cana-4411	60	24	(	(	PUNCT
cana-4411	60	25	6	6	NUM
cana-4411	60	26	)	)	PUNCT
cana-4411	60	27	(	(	PUNCT
cana-4411	60	28	7	7	X
cana-4411	60	29	)	)	PUNCT
cana-4411	60	30	the	the	DET
cana-4411	60	31	boundary	boundary	ADJ
cana-4411	60	32	conditions	condition	NOUN
cana-4411	60	33	are	be	AUX
cana-4411	60	34	described	describe	VERB
cana-4411	60	35	by	by	ADP
cana-4411	60	36	,	,	PUNCT
cana-4411	60	37	,	,	PUNCT
cana-4411	60	38	,	,	PUNCT
cana-4411	60	39	,	,	PUNCT
cana-4411	60	40	,	,	PUNCT
cana-4411	60	41	(	(	PUNCT
cana-4411	60	42	8)	8)	NUM
cana-4411	60	43	,	,	PUNCT
cana-4411	60	44	,	,	PUNCT
cana-4411	60	45	,	,	PUNCT
cana-4411	60	46	at	at	ADP
cana-4411	60	47	z=0	z=0	PROPN
cana-4411	60	48	,	,	PUNCT
cana-4411	60	49	,	,	PUNCT
cana-4411	60	50	,	,	PUNCT
cana-4411	60	51	,	,	PUNCT
cana-4411	60	52	,	,	PUNCT
cana-4411	60	53	at	at	ADP
cana-4411	60	54	z	z	NOUN
cana-4411	60	55	=	=	NOUN
cana-4411	60	56	h	h	NOUN
cana-4411	60	57	(	(	PUNCT
cana-4411	60	58	9	9	NUM
cana-4411	60	59	)	)	PUNCT
cana-4411	60	60	the	the	DET
cana-4411	60	61	continuity	continuity	NOUN
cana-4411	60	62	eq	eq	ADP
cana-4411	60	63	.	.	PUNCT
cana-4411	61	1	(	(	PUNCT
cana-4411	61	2	1	1	X
cana-4411	61	3	)	)	PUNCT
cana-4411	61	4	makes	make	VERB
cana-4411	61	5	the	the	DET
cana-4411	61	6	suction	suction	NOUN
cana-4411	61	7	velocity	velocity	NOUN
cana-4411	61	8	clear	clear	ADJ
cana-4411	61	9	and	and	CCONJ
cana-4411	61	10	it	it	PRON
cana-4411	61	11	is	be	AUX
cana-4411	61	12	only	only	ADV
cana-4411	61	13	useful	useful	ADJ
cana-4411	61	14	in	in	ADP
cana-4411	61	15	terms	term	NOUN
cana-4411	61	16	of	of	ADP
cana-4411	61	17	time	time	NOUN
cana-4411	61	18	,	,	PUNCT
cana-4411	61	19	hence	hence	ADV
cana-4411	61	20	it	it	PRON
cana-4411	61	21	might	might	AUX
cana-4411	61	22	be	be	AUX
cana-4411	61	23	expressed	express	VERB
cana-4411	61	24	as	as	ADP
cana-4411	61	25	the	the	DET
cana-4411	61	26	following	follow	VERB
cana-4411	61	27	formula[19	formula[19	NOUN
cana-4411	61	28	]	]	PUNCT
cana-4411	61	29	.	.	PUNCT
cana-4411	62	1	(	(	PUNCT
cana-4411	62	2	10	10	NUM
cana-4411	62	3	)	)	PUNCT
cana-4411	62	4	where	where	SCONJ
cana-4411	62	5	a	a	DET
cana-4411	62	6	an	an	DET
cana-4411	62	7	existing	exist	VERB
cana-4411	62	8	positive	positive	ADJ
cana-4411	62	9	invariable	invariable	NOUN
cana-4411	62	10	,	,	PUNCT
cana-4411	62	11	adding	add	VERB
cana-4411	62	12	to	to	PART
cana-4411	62	13	be	be	AUX
cana-4411	62	14	a	a	DET
cana-4411	62	15	magnitude	magnitude	NOUN
cana-4411	62	16	of	of	ADP
cana-4411	62	17	suction	suction	NOUN
cana-4411	62	18	velocity	velocity	NOUN
cana-4411	62	19	in	in	ADP
cana-4411	62	20	which	which	PRON
cana-4411	62	21	.	.	PUNCT
cana-4411	63	1	-casson	-casson	NOUN
cana-4411	63	2	parameter	parameter	NOUN
cana-4411	63	3	,	,	PUNCT
cana-4411	63	4	g	g	NOUN
cana-4411	63	5	-	-	PUNCT
cana-4411	63	6	acceleration	acceleration	NOUN
cana-4411	63	7	,	,	PUNCT
cana-4411	63	8	d	d	X
cana-4411	63	9	-	-	PUNCT
cana-4411	63	10	mass	mass	ADJ
cana-4411	63	11	diffusivity	diffusivity	NOUN
cana-4411	63	12	,	,	PUNCT
cana-4411	63	13	ρ	ρ	PROPN
cana-4411	63	14	-	-	PUNCT
cana-4411	63	15	density	density	NOUN
cana-4411	63	16	,	,	PUNCT
cana-4411	63	17	βt	βt	ADJ
cana-4411	63	18	–	–	PUNCT
cana-4411	63	19	coefficient	coefficient	NOUN
cana-4411	63	20	of	of	ADP
cana-4411	63	21	volume	volume	NOUN
cana-4411	63	22	expansion	expansion	NOUN
cana-4411	63	23	,	,	PUNCT
cana-4411	63	24	βc	βc	PRON
cana-4411	63	25	coefficient	coefficient	NOUN
cana-4411	63	26	of	of	ADP
cana-4411	63	27	volume	volume	NOUN
cana-4411	63	28	expansion	expansion	NOUN
cana-4411	63	29	with	with	ADP
cana-4411	63	30	concentration	concentration	NOUN
cana-4411	63	31	-	-	PUNCT
cana-4411	63	32	kinematic	kinematic	NOUN
cana-4411	63	33	viscosity	viscosity	NOUN
cana-4411	63	34	,	,	PUNCT
cana-4411	63	35	kr*absorption	kr*absorption	NOUN
cana-4411	63	36	coefficient	coefficient	NOUN
cana-4411	63	37	,	,	PUNCT
cana-4411	63	38	d1	d1	ADJ
cana-4411	63	39	-	-	PUNCT
cana-4411	63	40	thermal	thermal	ADJ
cana-4411	63	41	diffusion	diffusion	NOUN
cana-4411	63	42	coefficient	coefficient	NOUN
cana-4411	63	43	,	,	PUNCT
cana-4411	63	44	k	k	NOUN
cana-4411	63	45	-	-	NOUN
cana-4411	63	46	permeability	permeability	NOUN
cana-4411	63	47	of	of	ADP
cana-4411	63	48	porous	porous	ADJ
cana-4411	63	49	medium	medium	NOUN
cana-4411	63	50	,	,	PUNCT
cana-4411	63	51	α	α	NOUN
cana-4411	63	52	-	-	ADJ
cana-4411	63	53	thermal	thermal	ADJ
cana-4411	63	54	conductivity	conductivity	NOUN
cana-4411	63	55	,	,	PUNCT
cana-4411	63	56	cp	cp	NOUN
cana-4411	63	57	-	-	ADJ
cana-4411	63	58	specific	specific	ADJ
cana-4411	63	59	heat	heat	NOUN
cana-4411	63	60	at	at	ADP
cana-4411	63	61	constant	constant	ADJ
cana-4411	63	62	pressure	pressure	NOUN
cana-4411	63	63	,	,	PUNCT
cana-4411	63	64	choose	choose	VERB
cana-4411	63	65	the	the	DET
cana-4411	63	66	radiative	radiative	ADJ
cana-4411	63	67	heat	heat	NOUN
cana-4411	63	68	flow	flow	NOUN
cana-4411	63	69	,	,	PUNCT
cana-4411	63	70	,	,	PUNCT
cana-4411	63	71	in	in	ADP
cana-4411	63	72	the	the	DET
cana-4411	63	73	fluid	fluid	ADJ
cana-4411	63	74	medium	medium	NOUN
cana-4411	63	75	before	before	ADP
cana-4411	63	76	moving	move	VERB
cana-4411	63	77	on	on	ADP
cana-4411	63	78	.	.	PUNCT
cana-4411	64	1	the	the	DET
cana-4411	64	2	rosseland	rosseland	PROPN
cana-4411	64	3	approximation	approximation	NOUN
cana-4411	64	4	will	will	AUX
cana-4411	64	5	be	be	AUX
cana-4411	64	6	used	use	VERB
cana-4411	64	7	to	to	PART
cana-4411	64	8	estimate	estimate	VERB
cana-4411	64	9	this	this	DET
cana-4411	64	10	term	term	NOUN
cana-4411	64	11	in	in	ADP
cana-4411	64	12	the	the	DET
cana-4411	64	13	current	current	ADJ
cana-4411	64	14	study[20	study[20	NOUN
cana-4411	64	15	]	]	PUNCT
cana-4411	64	16	.	.	PUNCT
cana-4411	65	1	(	(	PUNCT
cana-4411	65	2	11	11	NUM
cana-4411	65	3	)	)	PUNCT
cana-4411	65	4	communications	communication	NOUN
cana-4411	65	5	on	on	ADP
cana-4411	65	6	applied	apply	VERB
cana-4411	65	7	nonlinear	nonlinear	ADJ
cana-4411	65	8	analysis	analysis	NOUN
cana-4411	65	9	issn	issn	NOUN
cana-4411	65	10	:	:	PUNCT
cana-4411	65	11	1074	1074	NUM
cana-4411	65	12	-	-	PUNCT
cana-4411	65	13	133x	133x	NUM
cana-4411	65	14	vol	vol	NOUN
cana-4411	65	15	31	31	NUM
cana-4411	65	16	no	no	NOUN
cana-4411	65	17	.	.	PUNCT
cana-4411	66	1	8s	8s	PROPN
cana-4411	66	2	(	(	PUNCT
cana-4411	66	3	2024	2024	NUM
cana-4411	66	4	)	)	PUNCT
cana-4411	66	5	798	798	NUM
cana-4411	66	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	66	7	considering	consider	VERB
cana-4411	66	8	that	that	SCONJ
cana-4411	66	9	the	the	DET
cana-4411	66	10	flow	flow	NOUN
cana-4411	66	11	is	be	AUX
cana-4411	66	12	surrounded	surround	VERB
cana-4411	66	13	by	by	ADP
cana-4411	66	14	a	a	DET
cana-4411	66	15	temperature	temperature	NOUN
cana-4411	66	16	different	different	ADJ
cana-4411	66	17	,	,	PUNCT
cana-4411	66	18	then	then	ADV
cana-4411	66	19	the	the	DET
cana-4411	66	20	linear	linear	ADJ
cana-4411	66	21	combination	combination	NOUN
cana-4411	66	22	of	of	ADP
cana-4411	66	23	temperature	temperature	NOUN
cana-4411	66	24	is	be	AUX
cana-4411	66	25	defined	define	VERB
cana-4411	66	26	.	.	PUNCT
cana-4411	67	1	developing	develop	VERB
cana-4411	67	2	by	by	ADP
cana-4411	67	3	tayler	tayler	PROPN
cana-4411	67	4	’s	’s	PART
cana-4411	67	5	series	series	NOUN
cana-4411	67	6	tends	tend	VERB
cana-4411	67	7	to	to	ADP
cana-4411	67	8	as	as	ADP
cana-4411	67	9	of	of	ADP
cana-4411	67	10	the	the	DET
cana-4411	67	11	following	following	NOUN
cana-4411	67	12	,	,	PUNCT
cana-4411	67	13	(	(	PUNCT
cana-4411	67	14	12	12	NUM
cana-4411	67	15	)	)	PUNCT
cana-4411	67	16	ignoring	ignore	VERB
cana-4411	67	17	higher	high	ADJ
cana-4411	67	18	order	order	NOUN
cana-4411	67	19	expressions	expression	NOUN
cana-4411	67	20	forward	forward	ADV
cana-4411	67	21	to	to	ADP
cana-4411	67	22	the	the	DET
cana-4411	67	23	foremost	foremost	ADJ
cana-4411	67	24	degree	degree	NOUN
cana-4411	67	25	within	within	ADP
cana-4411	67	26	,	,	PUNCT
cana-4411	67	27	(	(	PUNCT
cana-4411	67	28	13	13	NUM
cana-4411	67	29	)	)	PUNCT
cana-4411	67	30	with	with	ADP
cana-4411	67	31	respect	respect	NOUN
cana-4411	67	32	to	to	ADP
cana-4411	67	33	z	z	NOUN
cana-4411	67	34	,	,	PUNCT
cana-4411	67	35	differentiate	differentiate	VERB
cana-4411	67	36	the	the	DET
cana-4411	67	37	equation	equation	NOUN
cana-4411	67	38	(	(	PUNCT
cana-4411	67	39	12	12	NUM
cana-4411	67	40	)	)	PUNCT
cana-4411	67	41	and	and	CCONJ
cana-4411	67	42	making	make	VERB
cana-4411	67	43	use	use	VERB
cana-4411	67	44	the	the	DET
cana-4411	67	45	equation	equation	NOUN
cana-4411	67	46	(	(	PUNCT
cana-4411	67	47	13	13	NUM
cana-4411	67	48	)	)	PUNCT
cana-4411	67	49	(	(	PUNCT
cana-4411	67	50	14	14	NUM
cana-4411	67	51	)	)	PUNCT
cana-4411	67	52	since	since	SCONJ
cana-4411	67	53	the	the	DET
cana-4411	67	54	frequency	frequency	NOUN
cana-4411	67	55	of	of	ADP
cana-4411	67	56	electron	electron	NOUN
cana-4411	67	57	-	-	PUNCT
cana-4411	67	58	atom	atom	NOUN
cana-4411	67	59	collisions	collision	NOUN
cana-4411	67	60	is	be	AUX
cana-4411	67	61	speculated	speculate	VERB
cana-4411	67	62	to	to	PART
cana-4411	67	63	be	be	AUX
cana-4411	67	64	quite	quite	ADV
cana-4411	67	65	high	high	ADJ
cana-4411	67	66	,	,	PUNCT
cana-4411	67	67	hall	hall	NOUN
cana-4411	67	68	and	and	CCONJ
cana-4411	67	69	ion	ion	NOUN
cana-4411	67	70	slip	slip	NOUN
cana-4411	67	71	effects	effect	NOUN
cana-4411	67	72	can	can	AUX
cana-4411	67	73	not	not	PART
cana-4411	67	74	be	be	AUX
cana-4411	67	75	ignored	ignore	VERB
cana-4411	67	76	.	.	PUNCT
cana-4411	68	1	consequently	consequently	ADV
cana-4411	68	2	,	,	PUNCT
cana-4411	68	3	the	the	DET
cana-4411	68	4	velocity	velocity	NOUN
cana-4411	68	5	is	be	AUX
cana-4411	68	6	produced	produce	VERB
cana-4411	68	7	by	by	ADP
cana-4411	68	8	the	the	DET
cana-4411	68	9	hall	hall	NOUN
cana-4411	68	10	and	and	CCONJ
cana-4411	68	11	ion	ion	NOUN
cana-4411	68	12	slip	slip	NOUN
cana-4411	68	13	currents	current	NOUN
cana-4411	68	14	.	.	PUNCT
cana-4411	69	1	the	the	DET
cana-4411	69	2	hall	hall	NOUN
cana-4411	69	3	and	and	CCONJ
cana-4411	69	4	ion	ion	NOUN
cana-4411	69	5	slip	slip	NOUN
cana-4411	69	6	effect	effect	NOUN
cana-4411	69	7	be	be	AUX
cana-4411	69	8	added	add	VERB
cana-4411	69	9	to	to	ADP
cana-4411	69	10	the	the	DET
cana-4411	69	11	generalized	generalize	VERB
cana-4411	69	12	ohm	ohm	NOUN
cana-4411	69	13	's	's	PART
cana-4411	69	14	law	law	NOUN
cana-4411	69	15	once	once	SCONJ
cana-4411	69	16	the	the	DET
cana-4411	69	17	magnetic	magnetic	ADJ
cana-4411	69	18	field	field	NOUN
cana-4411	69	19	strength	strength	NOUN
cana-4411	69	20	is	be	AUX
cana-4411	69	21	actually	actually	ADV
cana-4411	69	22	strong	strong	ADJ
cana-4411	69	23	.	.	PUNCT
cana-4411	70	1	(	(	PUNCT
cana-4411	70	2	15	15	NUM
cana-4411	70	3	)	)	PUNCT
cana-4411	70	4	additionally	additionally	ADV
cana-4411	70	5	,	,	PUNCT
cana-4411	70	6	be	be	AUX
cana-4411	70	7	the	the	DET
cana-4411	70	8	hall	hall	NOUN
cana-4411	70	9	parameter	parameter	NOUN
cana-4411	70	10	and	and	CCONJ
cana-4411	70	11	be	be	AUX
cana-4411	70	12	the	the	DET
cana-4411	70	13	ion	ion	NOUN
cana-4411	70	14	slip	slip	NOUN
cana-4411	70	15	parameter	parameter	NOUN
cana-4411	70	16	in	in	ADP
cana-4411	70	17	the	the	DET
cana-4411	70	18	equation	equation	NOUN
cana-4411	70	19	(	(	PUNCT
cana-4411	70	20	15	15	NUM
cana-4411	70	21	)	)	PUNCT
cana-4411	70	22	,	,	PUNCT
cana-4411	70	23	the	the	PRON
cana-4411	70	24	electron	electron	NOUN
cana-4411	70	25	pressure	pressure	NOUN
cana-4411	70	26	gradient	gradient	NOUN
cana-4411	70	27	and	and	CCONJ
cana-4411	70	28	thermoelectric	thermoelectric	ADJ
cana-4411	70	29	impacts	impact	NOUN
cana-4411	70	30	are	be	AUX
cana-4411	70	31	ignored	ignore	VERB
cana-4411	70	32	,	,	PUNCT
cana-4411	70	33	particularly	particularly	ADV
cana-4411	70	34	,	,	PUNCT
cana-4411	70	35	the	the	DET
cana-4411	70	36	electric	electric	ADJ
cana-4411	70	37	field	field	NOUN
cana-4411	70	38	,	,	PUNCT
cana-4411	70	39	by	by	ADP
cana-4411	70	40	means	mean	NOUN
cana-4411	70	41	of	of	ADP
cana-4411	70	42	these	these	DET
cana-4411	70	43	assumptions	assumption	NOUN
cana-4411	70	44	,	,	PUNCT
cana-4411	70	45	the	the	DET
cana-4411	70	46	equation	equation	NOUN
cana-4411	70	47	(	(	PUNCT
cana-4411	70	48	15	15	NUM
cana-4411	70	49	)	)	PUNCT
cana-4411	70	50	condensed	condense	VERB
cana-4411	70	51	to	to	ADP
cana-4411	70	52	component	component	NOUN
cana-4411	70	53	methods	method	NOUN
cana-4411	70	54	as	as	ADP
cana-4411	70	55	,	,	PUNCT
cana-4411	70	56	(	(	PUNCT
cana-4411	70	57	16	16	NUM
cana-4411	70	58	)	)	PUNCT
cana-4411	70	59	(	(	PUNCT
cana-4411	70	60	17	17	NUM
cana-4411	70	61	)	)	PUNCT
cana-4411	70	62	where	where	SCONJ
cana-4411	70	63	,	,	PUNCT
cana-4411	70	64	be	be	AUX
cana-4411	70	65	the	the	DET
cana-4411	70	66	parameter	parameter	NOUN
cana-4411	70	67	of	of	ADP
cana-4411	70	68	hall	hall	NOUN
cana-4411	70	69	effect	effect	NOUN
cana-4411	70	70	.	.	PUNCT
cana-4411	71	1	resolving	resolve	VERB
cana-4411	71	2	the	the	DET
cana-4411	71	3	equations	equation	NOUN
cana-4411	71	4	(	(	PUNCT
cana-4411	71	5	16	16	NUM
cana-4411	71	6	)	)	PUNCT
cana-4411	71	7	and	and	CCONJ
cana-4411	71	8	(	(	PUNCT
cana-4411	71	9	17	17	NUM
cana-4411	71	10	)	)	PUNCT
cana-4411	71	11	,	,	PUNCT
cana-4411	71	12	(	(	PUNCT
cana-4411	71	13	18	18	NUM
cana-4411	71	14	)	)	PUNCT
cana-4411	71	15	(	(	PUNCT
cana-4411	71	16	19	19	NUM
cana-4411	71	17	)	)	PUNCT
cana-4411	71	18	where	where	SCONJ
cana-4411	71	19	,	,	PUNCT
cana-4411	71	20	replacing	replace	VERB
cana-4411	71	21	the	the	DET
cana-4411	71	22	equations	equation	NOUN
cana-4411	71	23	(	(	PUNCT
cana-4411	71	24	18	18	NUM
cana-4411	71	25	)	)	PUNCT
cana-4411	71	26	–	–	PUNCT
cana-4411	71	27	(	(	PUNCT
cana-4411	71	28	19	19	NUM
cana-4411	71	29	)	)	PUNCT
cana-4411	71	30	in	in	ADP
cana-4411	71	31	(	(	PUNCT
cana-4411	71	32	3	3	NUM
cana-4411	71	33	)	)	PUNCT
cana-4411	71	34	–	–	PUNCT
cana-4411	71	35	(	(	PUNCT
cana-4411	71	36	2	2	X
cana-4411	71	37	)	)	PUNCT
cana-4411	71	38	accordingly	accordingly	ADV
cana-4411	71	39	,	,	PUNCT
cana-4411	71	40	we	we	PRON
cana-4411	71	41	obtain	obtain	AUX
cana-4411	71	42	(	(	PUNCT
cana-4411	71	43	20	20	NUM
cana-4411	71	44	)	)	PUNCT
cana-4411	71	45	communications	communication	NOUN
cana-4411	71	46	on	on	ADP
cana-4411	71	47	applied	apply	VERB
cana-4411	71	48	nonlinear	nonlinear	ADJ
cana-4411	71	49	analysis	analysis	NOUN
cana-4411	71	50	issn	issn	NOUN
cana-4411	71	51	:	:	PUNCT
cana-4411	71	52	1074	1074	NUM
cana-4411	71	53	-	-	PUNCT
cana-4411	71	54	133x	133x	NUM
cana-4411	71	55	vol	vol	NOUN
cana-4411	71	56	31	31	NUM
cana-4411	71	57	no	no	NOUN
cana-4411	71	58	.	.	PUNCT
cana-4411	72	1	8s	8s	PROPN
cana-4411	72	2	(	(	PUNCT
cana-4411	72	3	2024	2024	NUM
cana-4411	72	4	)	)	PUNCT
cana-4411	72	5	799	799	NUM
cana-4411	72	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	72	7	(	(	PUNCT
cana-4411	72	8	21	21	NUM
cana-4411	72	9	)	)	PUNCT
cana-4411	72	10	exhibiting	exhibit	VERB
cana-4411	72	11	homogeneity	homogeneity	NOUN
cana-4411	72	12	and	and	CCONJ
cana-4411	72	13	non	non	ADJ
cana-4411	72	14	-	-	ADJ
cana-4411	72	15	dimensional	dimensional	ADJ
cana-4411	72	16	quantities	quantity	NOUN
cana-4411	72	17	in	in	ADP
cana-4411	72	18	the	the	DET
cana-4411	72	19	following	following	NOUN
cana-4411	72	20	,	,	PUNCT
cana-4411	72	21	the	the	DET
cana-4411	72	22	governing	govern	VERB
cana-4411	72	23	equations	equation	NOUN
cana-4411	72	24	(	(	PUNCT
cana-4411	72	25	20	20	NUM
cana-4411	72	26	)	)	PUNCT
cana-4411	72	27	,	,	PUNCT
cana-4411	72	28	(	(	PUNCT
cana-4411	72	29	21	21	NUM
cana-4411	72	30	)	)	PUNCT
cana-4411	72	31	,	,	PUNCT
cana-4411	72	32	(	(	PUNCT
cana-4411	72	33	4	4	NUM
cana-4411	72	34	)	)	PUNCT
cana-4411	72	35	–	–	PUNCT
cana-4411	72	36	(	(	PUNCT
cana-4411	72	37	7	7	X
cana-4411	72	38	)	)	PUNCT
cana-4411	72	39	reduced	reduce	VERB
cana-4411	72	40	by	by	ADP
cana-4411	72	41	using	use	VERB
cana-4411	72	42	of	of	ADP
cana-4411	72	43	non	non	ADJ
cana-4411	72	44	–	–	PUNCT
cana-4411	72	45	dimensional	dimensional	ADJ
cana-4411	72	46	variables	variable	NOUN
cana-4411	72	47	to	to	ADP
cana-4411	72	48	the	the	DET
cana-4411	72	49	following	follow	VERB
cana-4411	72	50	(	(	PUNCT
cana-4411	72	51	22	22	NUM
cana-4411	72	52	)	)	PUNCT
cana-4411	72	53	(	(	PUNCT
cana-4411	72	54	23	23	NUM
cana-4411	72	55	)	)	PUNCT
cana-4411	72	56	(	(	PUNCT
cana-4411	72	57	24	24	NUM
cana-4411	72	58	)	)	PUNCT
cana-4411	72	59	(	(	PUNCT
cana-4411	72	60	25	25	NUM
cana-4411	72	61	)	)	PUNCT
cana-4411	72	62	(	(	PUNCT
cana-4411	72	63	26	26	NUM
cana-4411	72	64	)	)	PUNCT
cana-4411	72	65	(	(	PUNCT
cana-4411	72	66	27	27	NUM
cana-4411	72	67	)	)	PUNCT
cana-4411	72	68	applicable	applicable	ADJ
cana-4411	72	69	boundary	boundary	ADJ
cana-4411	72	70	conditions	condition	NOUN
cana-4411	72	71	be	be	VERB
cana-4411	72	72	,	,	PUNCT
cana-4411	72	73	communications	communication	NOUN
cana-4411	72	74	on	on	ADP
cana-4411	72	75	applied	apply	VERB
cana-4411	72	76	nonlinear	nonlinear	ADJ
cana-4411	72	77	analysis	analysis	NOUN
cana-4411	72	78	issn	issn	NOUN
cana-4411	72	79	:	:	PUNCT
cana-4411	72	80	1074	1074	NUM
cana-4411	72	81	-	-	PUNCT
cana-4411	72	82	133x	133x	NUM
cana-4411	72	83	vol	vol	NOUN
cana-4411	72	84	31	31	NUM
cana-4411	72	85	no	no	NOUN
cana-4411	72	86	.	.	PUNCT
cana-4411	73	1	8s	8s	PROPN
cana-4411	73	2	(	(	PUNCT
cana-4411	73	3	2024	2024	NUM
cana-4411	73	4	)	)	PUNCT
cana-4411	73	5	800	800	NUM
cana-4411	73	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	73	7	combining	combine	VERB
cana-4411	73	8	the	the	DET
cana-4411	73	9	equations	equation	NOUN
cana-4411	73	10	(	(	PUNCT
cana-4411	73	11	22	22	NUM
cana-4411	73	12	)	)	PUNCT
cana-4411	73	13	and	and	CCONJ
cana-4411	73	14	(	(	PUNCT
cana-4411	73	15	23	23	NUM
cana-4411	73	16	)	)	PUNCT
cana-4411	73	17	;	;	PUNCT
cana-4411	73	18	(	(	PUNCT
cana-4411	73	19	24	24	NUM
cana-4411	73	20	)	)	PUNCT
cana-4411	73	21	and	and	CCONJ
cana-4411	73	22	(	(	PUNCT
cana-4411	73	23	25	25	NUM
cana-4411	73	24	)	)	PUNCT
cana-4411	73	25	,	,	PUNCT
cana-4411	73	26	let	let	VERB
cana-4411	73	27	and	and	CCONJ
cana-4411	73	28	,	,	PUNCT
cana-4411	73	29	we	we	PRON
cana-4411	73	30	acquired	acquire	VERB
cana-4411	73	31	,	,	PUNCT
cana-4411	73	32	(	(	PUNCT
cana-4411	73	33	30	30	NUM
cana-4411	73	34	)	)	PUNCT
cana-4411	73	35	(	(	PUNCT
cana-4411	73	36	31	31	NUM
cana-4411	73	37	)	)	PUNCT
cana-4411	73	38	3	3	NUM
cana-4411	73	39	.	.	NOUN
cana-4411	73	40	method	method	NOUN
cana-4411	73	41	of	of	ADP
cana-4411	73	42	solution	solution	NOUN
cana-4411	73	43	assume	assume	VERB
cana-4411	73	44	the	the	DET
cana-4411	73	45	perturbation	perturbation	NOUN
cana-4411	73	46	approach	approach	NOUN
cana-4411	73	47	to	to	PART
cana-4411	73	48	acquire	acquire	VERB
cana-4411	73	49	the	the	DET
cana-4411	73	50	solutions	solution	NOUN
cana-4411	73	51	of	of	ADP
cana-4411	73	52	the	the	DET
cana-4411	73	53	beyond	beyond	ADJ
cana-4411	73	54	scheme	scheme	NOUN
cana-4411	73	55	of	of	ADP
cana-4411	73	56	partial	partial	ADJ
cana-4411	73	57	differential	differential	ADJ
cana-4411	73	58	equalities	equality	NOUN
cana-4411	73	59	(	(	PUNCT
cana-4411	73	60	dropping	drop	VERB
cana-4411	73	61	the	the	DET
cana-4411	73	62	apostrophe	apostrophe	NOUN
cana-4411	73	63	)	)	PUNCT
cana-4411	73	64	(	(	PUNCT
cana-4411	73	65	30	30	NUM
cana-4411	73	66	-	-	SYM
cana-4411	73	67	31	31	NUM
cana-4411	73	68	)	)	PUNCT
cana-4411	73	69	and	and	CCONJ
cana-4411	73	70	(	(	PUNCT
cana-4411	73	71	26	26	NUM
cana-4411	73	72	-	-	SYM
cana-4411	73	73	27	27	NUM
cana-4411	73	74	)	)	PUNCT
cana-4411	73	75	under	under	ADP
cana-4411	73	76	the	the	DET
cana-4411	73	77	pertinent	pertinent	ADJ
cana-4411	73	78	boundary	boundary	ADJ
cana-4411	73	79	conditions	condition	NOUN
cana-4411	73	80	.	.	PUNCT
cana-4411	74	1	(	(	PUNCT
cana-4411	74	2	32	32	NUM
cana-4411	74	3	)	)	PUNCT
cana-4411	74	4	(	(	PUNCT
cana-4411	74	5	33	33	NUM
cana-4411	74	6	)	)	PUNCT
cana-4411	74	7	(	(	PUNCT
cana-4411	74	8	34	34	NUM
cana-4411	74	9	)	)	PUNCT
cana-4411	74	10	(	(	PUNCT
cana-4411	74	11	35	35	NUM
cana-4411	74	12	)	)	PUNCT
cana-4411	74	13	the	the	DET
cana-4411	74	14	following	follow	VERB
cana-4411	74	15	set	set	NOUN
cana-4411	74	16	of	of	ADP
cana-4411	74	17	equations	equation	NOUN
cana-4411	74	18	were	be	AUX
cana-4411	74	19	attained	attain	VERB
cana-4411	74	20	by	by	ADP
cana-4411	74	21	substituting	substitute	VERB
cana-4411	74	22	equations	equation	NOUN
cana-4411	74	23	(	(	PUNCT
cana-4411	74	24	32	32	NUM
cana-4411	74	25	)	)	PUNCT
cana-4411	74	26	to	to	ADP
cana-4411	74	27	(	(	PUNCT
cana-4411	74	28	35	35	NUM
cana-4411	74	29	)	)	PUNCT
cana-4411	74	30	into	into	ADP
cana-4411	74	31	equations	equation	NOUN
cana-4411	74	32	(	(	PUNCT
cana-4411	74	33	26	26	NUM
cana-4411	74	34	)	)	PUNCT
cana-4411	74	35	,	,	PUNCT
cana-4411	74	36	(	(	PUNCT
cana-4411	74	37	27	27	NUM
cana-4411	74	38	)	)	PUNCT
cana-4411	74	39	,	,	PUNCT
cana-4411	74	40	(	(	PUNCT
cana-4411	74	41	30	30	NUM
cana-4411	74	42	)	)	PUNCT
cana-4411	74	43	and	and	CCONJ
cana-4411	74	44	(	(	PUNCT
cana-4411	74	45	31	31	NUM
cana-4411	74	46	)	)	PUNCT
cana-4411	74	47	,	,	PUNCT
cana-4411	74	48	while	while	SCONJ
cana-4411	74	49	absorbing	absorb	VERB
cana-4411	74	50	the	the	DET
cana-4411	74	51	harmonic	harmonic	ADJ
cana-4411	74	52	and	and	CCONJ
cana-4411	74	53	non	non	ADJ
cana-4411	74	54	-	-	ADJ
cana-4411	74	55	hormonic	hormonic	ADJ
cana-4411	74	56	terms	term	NOUN
cana-4411	74	57	and	and	CCONJ
cana-4411	74	58	ignoring	ignore	VERB
cana-4411	74	59	the	the	DET
cana-4411	74	60	higher	high	ADJ
cana-4411	74	61	power	power	NOUN
cana-4411	74	62	terms	term	NOUN
cana-4411	74	63	of	of	ADP
cana-4411	74	64	o	o	PROPN
cana-4411	74	65	(	(	PUNCT
cana-4411	74	66	):	):	PUNCT
cana-4411	74	67	zeroth	zeroth	ADJ
cana-4411	74	68	order	order	NOUN
cana-4411	74	69	equations	equation	NOUN
cana-4411	74	70	(	(	PUNCT
cana-4411	74	71	36	36	NUM
cana-4411	74	72	)	)	PUNCT
cana-4411	74	73	(	(	PUNCT
cana-4411	74	74	37	37	NUM
cana-4411	74	75	)	)	PUNCT
cana-4411	74	76	(	(	PUNCT
cana-4411	74	77	38	38	NUM
cana-4411	74	78	)	)	PUNCT
cana-4411	74	79	(	(	PUNCT
cana-4411	74	80	39	39	NUM
cana-4411	74	81	)	)	PUNCT
cana-4411	74	82	the	the	DET
cana-4411	74	83	corresponding	corresponding	ADJ
cana-4411	74	84	boundary	boundary	ADJ
cana-4411	74	85	conditions	condition	NOUN
cana-4411	74	86	are	be	AUX
cana-4411	74	87	as	as	SCONJ
cana-4411	74	88	follows	follow	VERB
cana-4411	74	89	,	,	PUNCT
cana-4411	74	90	,	,	PUNCT
cana-4411	74	91	,	,	PUNCT
cana-4411	74	92	at	at	ADP
cana-4411	74	93	z=0	z=0	PROPN
cana-4411	74	94	communications	communication	NOUN
cana-4411	74	95	on	on	ADP
cana-4411	74	96	applied	apply	VERB
cana-4411	74	97	nonlinear	nonlinear	ADJ
cana-4411	74	98	analysis	analysis	NOUN
cana-4411	74	99	issn	issn	NOUN
cana-4411	74	100	:	:	PUNCT
cana-4411	74	101	1074	1074	NUM
cana-4411	74	102	-	-	PUNCT
cana-4411	74	103	133x	133x	NUM
cana-4411	74	104	vol	vol	NOUN
cana-4411	74	105	31	31	NUM
cana-4411	74	106	no	no	NOUN
cana-4411	74	107	.	.	PUNCT
cana-4411	75	1	8s	8s	PROPN
cana-4411	75	2	(	(	PUNCT
cana-4411	75	3	2024	2024	NUM
cana-4411	75	4	)	)	PUNCT
cana-4411	75	5	801	801	NUM
cana-4411	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	75	7	,	,	PUNCT
cana-4411	75	8	,	,	PUNCT
cana-4411	75	9	,	,	PUNCT
cana-4411	75	10	at	at	ADP
cana-4411	75	11	z	z	NOUN
cana-4411	75	12	=	=	NOUN
cana-4411	75	13	h	h	NOUN
cana-4411	75	14	solving	solve	VERB
cana-4411	75	15	the	the	DET
cana-4411	75	16	equations	equation	NOUN
cana-4411	75	17	(	(	PUNCT
cana-4411	75	18	36	36	NUM
cana-4411	75	19	)	)	PUNCT
cana-4411	75	20	to	to	ADP
cana-4411	75	21	(	(	PUNCT
cana-4411	75	22	39	39	NUM
cana-4411	75	23	)	)	PUNCT
cana-4411	75	24	under	under	ADP
cana-4411	75	25	the	the	DET
cana-4411	75	26	boundary	boundary	ADJ
cana-4411	75	27	conditions	condition	NOUN
cana-4411	75	28	,	,	PUNCT
cana-4411	75	29	we	we	PRON
cana-4411	75	30	obtain	obtain	VERB
cana-4411	75	31	the	the	DET
cana-4411	75	32	velocity	velocity	NOUN
cana-4411	75	33	,	,	PUNCT
cana-4411	75	34	temperature	temperature	NOUN
cana-4411	75	35	,	,	PUNCT
cana-4411	75	36	concentration	concentration	NOUN
cana-4411	75	37	and	and	CCONJ
cana-4411	75	38	microrotation	microrotation	NOUN
cana-4411	75	39	+	+	CCONJ
cana-4411	75	40	first	first	ADJ
cana-4411	75	41	order	order	NOUN
cana-4411	75	42	equations	equation	NOUN
cana-4411	75	43	(	(	PUNCT
cana-4411	75	44	40	40	NUM
cana-4411	75	45	)	)	PUNCT
cana-4411	75	46	(	(	PUNCT
cana-4411	75	47	41	41	NUM
cana-4411	75	48	)	)	PUNCT
cana-4411	75	49	(	(	PUNCT
cana-4411	75	50	42	42	NUM
cana-4411	75	51	)	)	PUNCT
cana-4411	75	52	(	(	PUNCT
cana-4411	75	53	43	43	NUM
cana-4411	75	54	)	)	PUNCT
cana-4411	75	55	the	the	DET
cana-4411	75	56	corresponding	corresponding	ADJ
cana-4411	75	57	boundary	boundary	ADJ
cana-4411	75	58	conditions	condition	NOUN
cana-4411	75	59	are	be	AUX
cana-4411	75	60	as	as	SCONJ
cana-4411	75	61	follows	follow	VERB
cana-4411	75	62	,	,	PUNCT
cana-4411	75	63	,	,	PUNCT
cana-4411	75	64	,	,	PUNCT
cana-4411	75	65	at	at	ADP
cana-4411	75	66	z=0	z=0	PROPN
cana-4411	75	67	,	,	PUNCT
cana-4411	75	68	,	,	PUNCT
cana-4411	75	69	,	,	PUNCT
cana-4411	75	70	at	at	ADP
cana-4411	75	71	z	z	NOUN
cana-4411	75	72	=	=	NOUN
cana-4411	75	73	h	h	NOUN
cana-4411	75	74	solving	solve	VERB
cana-4411	75	75	the	the	DET
cana-4411	75	76	equations	equation	NOUN
cana-4411	75	77	(	(	PUNCT
cana-4411	75	78	40	40	NUM
cana-4411	75	79	)	)	PUNCT
cana-4411	75	80	to	to	ADP
cana-4411	75	81	(	(	PUNCT
cana-4411	75	82	43	43	NUM
cana-4411	75	83	)	)	PUNCT
cana-4411	75	84	under	under	ADP
cana-4411	75	85	the	the	DET
cana-4411	75	86	boundary	boundary	ADJ
cana-4411	75	87	conditions	condition	NOUN
cana-4411	75	88	,	,	PUNCT
cana-4411	75	89	we	we	PRON
cana-4411	75	90	obtain	obtain	VERB
cana-4411	75	91	the	the	DET
cana-4411	75	92	velocity	velocity	NOUN
cana-4411	75	93	,	,	PUNCT
cana-4411	75	94	temperature	temperature	NOUN
cana-4411	75	95	,	,	PUNCT
cana-4411	75	96	concentration	concentration	NOUN
cana-4411	75	97	and	and	CCONJ
cana-4411	75	98	microrotation	microrotation	NOUN
cana-4411	75	99	+	+	CCONJ
cana-4411	76	1	+	+	CCONJ
cana-4411	77	1	+	+	NUM
cana-4411	77	2	solutions	solution	NOUN
cana-4411	77	3	for	for	ADP
cana-4411	77	4	the	the	DET
cana-4411	77	5	following	follow	VERB
cana-4411	77	6	equations	equation	NOUN
cana-4411	77	7	with	with	ADP
cana-4411	77	8	respect	respect	NOUN
cana-4411	77	9	to	to	ADP
cana-4411	77	10	velocity	velocity	NOUN
cana-4411	77	11	,	,	PUNCT
cana-4411	77	12	microrotation	microrotation	NOUN
cana-4411	77	13	,	,	PUNCT
cana-4411	77	14	temperature	temperature	NOUN
cana-4411	77	15	,	,	PUNCT
cana-4411	77	16	and	and	CCONJ
cana-4411	77	17	concentration	concentration	NOUN
cana-4411	77	18	are	be	AUX
cana-4411	77	19	:	:	PUNCT
cana-4411	77	20	communications	communication	NOUN
cana-4411	77	21	on	on	ADP
cana-4411	77	22	applied	apply	VERB
cana-4411	77	23	nonlinear	nonlinear	ADJ
cana-4411	77	24	analysis	analysis	NOUN
cana-4411	77	25	issn	issn	NOUN
cana-4411	77	26	:	:	PUNCT
cana-4411	77	27	1074	1074	NUM
cana-4411	77	28	-	-	PUNCT
cana-4411	77	29	133x	133x	NUM
cana-4411	77	30	vol	vol	NOUN
cana-4411	77	31	31	31	NUM
cana-4411	77	32	no	no	NOUN
cana-4411	77	33	.	.	PUNCT
cana-4411	78	1	8s	8s	PROPN
cana-4411	78	2	(	(	PUNCT
cana-4411	78	3	2024	2024	NUM
cana-4411	78	4	)	)	PUNCT
cana-4411	78	5	802	802	NUM
cana-4411	78	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	78	7	skin	skin	NOUN
cana-4411	78	8	friction	friction	NOUN
cana-4411	78	9	,	,	PUNCT
cana-4411	78	10	nusselt	nusselt	NOUN
cana-4411	78	11	number	number	NOUN
cana-4411	78	12	,	,	PUNCT
cana-4411	78	13	and	and	CCONJ
cana-4411	78	14	sherwood	sherwood	PROPN
cana-4411	78	15	number	number	NOUN
cana-4411	78	16	in	in	ADP
cana-4411	78	17	dimensional	dimensional	ADJ
cana-4411	78	18	form	form	NOUN
cana-4411	78	19	at	at	ADP
cana-4411	78	20	the	the	DET
cana-4411	78	21	plate	plate	NOUN
cana-4411	78	22	are	be	AUX
cana-4411	78	23	,	,	PUNCT
cana-4411	78	24	at	at	ADP
cana-4411	78	25	,	,	PUNCT
cana-4411	78	26	h	h	NOUN
cana-4411	78	27	at	at	ADV
cana-4411	78	28	,	,	PUNCT
cana-4411	78	29	h	h	NOUN
cana-4411	78	30	at	at	ADV
cana-4411	78	31	,	,	PUNCT
cana-4411	78	32	h	h	NOUN
cana-4411	78	33	4	4	NUM
cana-4411	78	34	.	.	NOUN
cana-4411	78	35	result	result	NOUN
cana-4411	78	36	and	and	CCONJ
cana-4411	78	37	discussion	discussion	VERB
cana-4411	78	38	the	the	DET
cana-4411	78	39	effects	effect	NOUN
cana-4411	78	40	of	of	ADP
cana-4411	78	41	hall	hall	NOUN
cana-4411	78	42	,	,	PUNCT
cana-4411	78	43	and	and	CCONJ
cana-4411	78	44	ion	ion	NOUN
cana-4411	78	45	slip	slip	NOUN
cana-4411	78	46	with	with	ADP
cana-4411	78	47	thermal	thermal	ADJ
cana-4411	78	48	radiation	radiation	NOUN
cana-4411	78	49	,	,	PUNCT
cana-4411	78	50	chemical	chemical	ADJ
cana-4411	78	51	reaction	reaction	NOUN
cana-4411	78	52	on	on	ADP
cana-4411	78	53	an	an	DET
cana-4411	78	54	unsteady	unsteady	ADJ
cana-4411	78	55	mhd	mhd	ADJ
cana-4411	78	56	natural	natural	ADJ
cana-4411	78	57	convective	convective	ADJ
cana-4411	78	58	rotating	rotating	NOUN
cana-4411	78	59	flow	flow	NOUN
cana-4411	78	60	of	of	ADP
cana-4411	78	61	micro	micro	ADJ
cana-4411	78	62	-	-	ADJ
cana-4411	78	63	polar	polar	ADJ
cana-4411	78	64	casson	casson	NOUN
cana-4411	78	65	fluid	fluid	NOUN
cana-4411	78	66	surrounded	surround	VERB
cana-4411	78	67	through	through	ADP
cana-4411	78	68	a	a	DET
cana-4411	78	69	semi	semi	ADJ
cana-4411	78	70	-	-	ADJ
cana-4411	78	71	infinite	infinite	ADJ
cana-4411	78	72	perpendicular	perpendicular	ADJ
cana-4411	78	73	moving	move	VERB
cana-4411	78	74	porous	porous	ADJ
cana-4411	78	75	plate	plate	NOUN
cana-4411	78	76	have	have	AUX
cana-4411	78	77	been	be	AUX
cana-4411	78	78	taken	take	VERB
cana-4411	78	79	into	into	ADP
cana-4411	78	80	consideration	consideration	NOUN
cana-4411	78	81	by	by	ADP
cana-4411	78	82	the	the	DET
cana-4411	78	83	influence	influence	NOUN
cana-4411	78	84	of	of	ADP
cana-4411	78	85	a	a	DET
cana-4411	78	86	uniform	uniform	ADJ
cana-4411	78	87	transverse	transverse	NOUN
cana-4411	78	88	magnetic	magnetic	ADJ
cana-4411	78	89	field	field	NOUN
cana-4411	78	90	and	and	CCONJ
cana-4411	78	91	boundary	boundary	ADJ
cana-4411	78	92	conditions	condition	NOUN
cana-4411	78	93	.	.	PUNCT
cana-4411	79	1	some	some	DET
cana-4411	79	2	fixed	fix	VERB
cana-4411	79	3	values	value	NOUN
cana-4411	79	4	were	be	AUX
cana-4411	79	5	set	set	VERB
cana-4411	79	6	with	with	ADP
cana-4411	79	7	the	the	DET
cana-4411	79	8	intention	intention	NOUN
cana-4411	79	9	of	of	ADP
cana-4411	79	10	calculating	calculate	VERB
cana-4411	79	11	certain	certain	ADJ
cana-4411	79	12	components	component	NOUN
cana-4411	79	13	,	,	PUNCT
cana-4411	79	14	,	,	PUNCT
cana-4411	79	15	,	,	PUNCT
cana-4411	79	16	,	,	PUNCT
cana-4411	79	17	,	,	PUNCT
cana-4411	79	18	,	,	PUNCT
cana-4411	79	19	,	,	PUNCT
cana-4411	79	20	,	,	PUNCT
cana-4411	79	21	,	,	PUNCT
cana-4411	79	22	,	,	PUNCT
cana-4411	79	23	,	,	PUNCT
cana-4411	79	24	,	,	PUNCT
cana-4411	79	25	,	,	PUNCT
cana-4411	79	26	,	,	PUNCT
cana-4411	79	27	,	,	PUNCT
cana-4411	79	28	,	,	PUNCT
cana-4411	79	29	,	,	PUNCT
cana-4411	79	30	,	,	PUNCT
cana-4411	79	31	,	,	PUNCT
cana-4411	79	32	,	,	PUNCT
cana-4411	79	33	,	,	PUNCT
cana-4411	79	34	.	.	PUNCT
cana-4411	80	1	figure	figure	NOUN
cana-4411	80	2	2	2	NUM
cana-4411	80	3	demonstrated	demonstrate	VERB
cana-4411	80	4	that	that	SCONJ
cana-4411	80	5	the	the	DET
cana-4411	80	6	hartmann	hartmann	PROPN
cana-4411	80	7	number	number	NOUN
cana-4411	80	8	(	(	PUNCT
cana-4411	80	9	m	m	NOUN
cana-4411	80	10	)	)	PUNCT
cana-4411	80	11	characterizes	characterize	VERB
cana-4411	80	12	magnetic	magnetic	ADJ
cana-4411	80	13	field	field	NOUN
cana-4411	80	14	strength	strength	NOUN
cana-4411	80	15	in	in	ADP
cana-4411	80	16	a	a	DET
cana-4411	80	17	conducting	conducting	NOUN
cana-4411	80	18	fluid	fluid	NOUN
cana-4411	80	19	and	and	CCONJ
cana-4411	80	20	the	the	DET
cana-4411	80	21	fluid	fluid	ADJ
cana-4411	80	22	motion	motion	NOUN
cana-4411	80	23	and	and	CCONJ
cana-4411	80	24	altering	alter	VERB
cana-4411	80	25	the	the	DET
cana-4411	80	26	velocity	velocity	NOUN
cana-4411	80	27	profile	profile	NOUN
cana-4411	80	28	can	can	AUX
cana-4411	80	29	be	be	AUX
cana-4411	80	30	interacted	interact	VERB
cana-4411	80	31	.	.	PUNCT
cana-4411	81	1	magnetic	magnetic	ADJ
cana-4411	81	2	field	field	NOUN
cana-4411	81	3	effect	effect	NOUN
cana-4411	81	4	is	be	AUX
cana-4411	81	5	stronger	strong	ADJ
cana-4411	81	6	in	in	ADP
cana-4411	81	7	regions	region	NOUN
cana-4411	81	8	of	of	ADP
cana-4411	81	9	high	high	ADJ
cana-4411	81	10	velocity	velocity	NOUN
cana-4411	81	11	,	,	PUNCT
cana-4411	81	12	where	where	SCONJ
cana-4411	81	13	the	the	DET
cana-4411	81	14	lorentz	lorentz	PROPN
cana-4411	81	15	force	force	NOUN
cana-4411	81	16	is	be	AUX
cana-4411	81	17	larger	large	ADJ
cana-4411	81	18	.	.	PUNCT
cana-4411	82	1	as	as	ADP
cana-4411	82	2	a	a	DET
cana-4411	82	3	result	result	NOUN
cana-4411	82	4	,	,	PUNCT
cana-4411	82	5	the	the	DET
cana-4411	82	6	velocity	velocity	NOUN
cana-4411	82	7	profile	profile	NOUN
cana-4411	82	8	becomes	become	VERB
cana-4411	82	9	flatter	flatter	ADJ
cana-4411	82	10	and	and	CCONJ
cana-4411	82	11	broader	broad	ADJ
cana-4411	82	12	in	in	ADP
cana-4411	82	13	the	the	DET
cana-4411	82	14	presence	presence	NOUN
cana-4411	82	15	of	of	ADP
cana-4411	82	16	a	a	DET
cana-4411	82	17	magnetic	magnetic	ADJ
cana-4411	82	18	field	field	NOUN
cana-4411	82	19	.	.	PUNCT
cana-4411	83	1	this	this	DET
cana-4411	83	2	effect	effect	NOUN
cana-4411	83	3	can	can	AUX
cana-4411	83	4	be	be	AUX
cana-4411	83	5	quantified	quantify	VERB
cana-4411	83	6	by	by	ADP
cana-4411	83	7	the	the	DET
cana-4411	83	8	hartmann	hartmann	PROPN
cana-4411	83	9	number	number	NOUN
cana-4411	83	10	(	(	PUNCT
cana-4411	83	11	m	m	NOUN
cana-4411	83	12	)	)	PUNCT
cana-4411	83	13	,	,	PUNCT
cana-4411	83	14	which	which	PRON
cana-4411	83	15	is	be	AUX
cana-4411	83	16	a	a	DET
cana-4411	83	17	measure	measure	NOUN
cana-4411	83	18	of	of	ADP
cana-4411	83	19	the	the	DET
cana-4411	83	20	ratio	ratio	NOUN
cana-4411	83	21	between	between	ADP
cana-4411	83	22	the	the	DET
cana-4411	83	23	lorentz	lorentz	PROPN
cana-4411	83	24	force	force	NOUN
cana-4411	83	25	and	and	CCONJ
cana-4411	83	26	the	the	DET
cana-4411	83	27	viscous	viscous	ADJ
cana-4411	83	28	force	force	NOUN
cana-4411	83	29	in	in	ADP
cana-4411	83	30	the	the	DET
cana-4411	83	31	fluid	fluid	NOUN
cana-4411	83	32	.	.	PUNCT
cana-4411	84	1	therefore	therefore	ADV
cana-4411	84	2	,	,	PUNCT
cana-4411	84	3	as	as	ADP
cana-4411	84	4	the	the	DET
cana-4411	84	5	hartmann	hartmann	PROPN
cana-4411	84	6	number	number	NOUN
cana-4411	84	7	(	(	PUNCT
cana-4411	84	8	m	m	NOUN
cana-4411	84	9	)	)	PUNCT
cana-4411	84	10	increases	increase	NOUN
cana-4411	84	11	,	,	PUNCT
cana-4411	84	12	the	the	DET
cana-4411	84	13	strength	strength	NOUN
cana-4411	84	14	of	of	ADP
cana-4411	84	15	the	the	DET
cana-4411	84	16	magnetic	magnetic	ADJ
cana-4411	84	17	field	field	NOUN
cana-4411	84	18	becomes	become	VERB
cana-4411	84	19	stronger	strong	ADJ
cana-4411	84	20	relative	relative	ADJ
cana-4411	84	21	to	to	ADP
cana-4411	84	22	the	the	DET
cana-4411	84	23	fluid	fluid	ADJ
cana-4411	84	24	viscosity	viscosity	NOUN
cana-4411	84	25	,	,	PUNCT
cana-4411	84	26	more	more	ADV
cana-4411	84	27	significant	significant	ADJ
cana-4411	84	28	reduction	reduction	NOUN
cana-4411	84	29	in	in	ADP
cana-4411	84	30	resulting	result	VERB
cana-4411	84	31	velocity	velocity	NOUN
cana-4411	84	32	and	and	CCONJ
cana-4411	84	33	a	a	DET
cana-4411	84	34	broader	broad	ADJ
cana-4411	84	35	,	,	PUNCT
cana-4411	84	36	flatter	flat	ADJ
cana-4411	84	37	velocity	velocity	NOUN
cana-4411	84	38	profile	profile	NOUN
cana-4411	84	39	in	in	ADP
cana-4411	84	40	both	both	CCONJ
cana-4411	84	41	the	the	DET
cana-4411	84	42	u	u	NOUN
cana-4411	84	43	and	and	CCONJ
cana-4411	84	44	v	v	ADJ
cana-4411	84	45	regions	region	NOUN
cana-4411	84	46	.	.	PUNCT
cana-4411	85	1	figure	figure	VERB
cana-4411	85	2	2	2	NUM
cana-4411	85	3	the	the	DET
cana-4411	85	4	velocity	velocity	NOUN
cana-4411	85	5	profile	profile	NOUN
cana-4411	85	6	against	against	ADP
cana-4411	85	7	m	m	PRON
cana-4411	85	8	figure	figure	NOUN
cana-4411	85	9	3	3	NUM
cana-4411	85	10	the	the	DET
cana-4411	85	11	velocity	velocity	NOUN
cana-4411	85	12	profile	profile	NOUN
cana-4411	85	13	against	against	ADP
cana-4411	85	14	communications	communication	NOUN
cana-4411	85	15	on	on	ADP
cana-4411	85	16	applied	apply	VERB
cana-4411	85	17	nonlinear	nonlinear	ADJ
cana-4411	85	18	analysis	analysis	NOUN
cana-4411	85	19	issn	issn	NOUN
cana-4411	85	20	:	:	PUNCT
cana-4411	85	21	1074	1074	NUM
cana-4411	85	22	-	-	PUNCT
cana-4411	85	23	133x	133x	NUM
cana-4411	85	24	vol	vol	NOUN
cana-4411	85	25	31	31	NUM
cana-4411	85	26	no	no	NOUN
cana-4411	85	27	.	.	PUNCT
cana-4411	86	1	8s	8s	PROPN
cana-4411	86	2	(	(	PUNCT
cana-4411	86	3	2024	2024	NUM
cana-4411	86	4	)	)	PUNCT
cana-4411	86	5	803	803	NUM
cana-4411	86	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	86	7	in	in	ADP
cana-4411	86	8	the	the	DET
cana-4411	86	9	context	context	NOUN
cana-4411	86	10	of	of	ADP
cana-4411	86	11	a	a	DET
cana-4411	86	12	velocity	velocity	NOUN
cana-4411	86	13	profile	profile	NOUN
cana-4411	86	14	,	,	PUNCT
cana-4411	86	15	figure	figure	VERB
cana-4411	86	16	3	3	NUM
cana-4411	86	17	that	that	SCONJ
cana-4411	86	18	the	the	DET
cana-4411	86	19	hall	hall	NOUN
cana-4411	86	20	parameter	parameter	NOUN
cana-4411	86	21	augments	augment	VERB
cana-4411	86	22	in	in	ADP
cana-4411	86	23	the	the	DET
cana-4411	86	24	region	region	NOUN
cana-4411	86	25	u	u	NOUN
cana-4411	86	26	and	and	CCONJ
cana-4411	86	27	lessens	lessen	VERB
cana-4411	86	28	in	in	ADP
cana-4411	86	29	the	the	DET
cana-4411	86	30	region	region	NOUN
cana-4411	86	31	v	v	NOUN
cana-4411	86	32	because	because	SCONJ
cana-4411	86	33	of	of	ADP
cana-4411	86	34	the	the	DET
cana-4411	86	35	effect	effect	NOUN
cana-4411	86	36	of	of	ADP
cana-4411	86	37	the	the	DET
cana-4411	86	38	magnetic	magnetic	ADJ
cana-4411	86	39	field	field	NOUN
cana-4411	86	40	on	on	ADP
cana-4411	86	41	the	the	DET
cana-4411	86	42	fluid	fluid	NOUN
cana-4411	86	43	.	.	PUNCT
cana-4411	87	1	when	when	SCONJ
cana-4411	87	2	the	the	DET
cana-4411	87	3	fluid	fluid	NOUN
cana-4411	87	4	flows	flow	VERB
cana-4411	87	5	through	through	ADP
cana-4411	87	6	the	the	DET
cana-4411	87	7	region	region	NOUN
cana-4411	87	8	u	u	NOUN
cana-4411	87	9	,	,	PUNCT
cana-4411	87	10	it	it	PRON
cana-4411	87	11	experiences	experience	VERB
cana-4411	87	12	a	a	DET
cana-4411	87	13	strong	strong	ADJ
cana-4411	87	14	magnetic	magnetic	ADJ
cana-4411	87	15	field	field	NOUN
cana-4411	87	16	,	,	PUNCT
cana-4411	87	17	which	which	PRON
cana-4411	87	18	causes	cause	VERB
cana-4411	87	19	it	it	PRON
cana-4411	87	20	to	to	PART
cana-4411	87	21	slow	slow	VERB
cana-4411	87	22	down	down	ADP
cana-4411	87	23	due	due	ADP
cana-4411	87	24	to	to	ADP
cana-4411	87	25	the	the	DET
cana-4411	87	26	lorentz	lorentz	PROPN
cana-4411	87	27	force	force	NOUN
cana-4411	87	28	.	.	PUNCT
cana-4411	88	1	this	this	DET
cana-4411	88	2	results	result	VERB
cana-4411	88	3	in	in	ADP
cana-4411	88	4	a	a	DET
cana-4411	88	5	lessening	lessening	NOUN
cana-4411	88	6	in	in	ADP
cana-4411	88	7	the	the	DET
cana-4411	88	8	velocity	velocity	NOUN
cana-4411	88	9	and	and	CCONJ
cana-4411	88	10	a	a	DET
cana-4411	88	11	rise	rise	NOUN
cana-4411	88	12	in	in	ADP
cana-4411	88	13	the	the	DET
cana-4411	88	14	hall	hall	NOUN
cana-4411	88	15	parameter	parameter	NOUN
cana-4411	88	16	.	.	PUNCT
cana-4411	89	1	the	the	DET
cana-4411	89	2	hall	hall	PROPN
cana-4411	89	3	parameter	parameter	NOUN
cana-4411	89	4	is	be	AUX
cana-4411	89	5	a	a	DET
cana-4411	89	6	measure	measure	NOUN
cana-4411	89	7	of	of	ADP
cana-4411	89	8	the	the	DET
cana-4411	89	9	relative	relative	ADJ
cana-4411	89	10	strength	strength	NOUN
cana-4411	89	11	of	of	ADP
cana-4411	89	12	the	the	DET
cana-4411	89	13	magnetic	magnetic	ADJ
cana-4411	89	14	field	field	NOUN
cana-4411	89	15	and	and	CCONJ
cana-4411	89	16	the	the	DET
cana-4411	89	17	viscous	viscous	ADJ
cana-4411	89	18	forces	force	NOUN
cana-4411	89	19	in	in	ADP
cana-4411	89	20	a	a	DET
cana-4411	89	21	flowing	flow	VERB
cana-4411	89	22	fluid	fluid	NOUN
cana-4411	89	23	.	.	PUNCT
cana-4411	90	1	its	its	PRON
cana-4411	90	2	behavior	behavior	NOUN
cana-4411	90	3	in	in	ADP
cana-4411	90	4	different	different	ADJ
cana-4411	90	5	regions	region	NOUN
cana-4411	90	6	of	of	ADP
cana-4411	90	7	the	the	DET
cana-4411	90	8	velocity	velocity	NOUN
cana-4411	90	9	profile	profile	NOUN
cana-4411	90	10	is	be	AUX
cana-4411	90	11	determined	determine	VERB
cana-4411	90	12	by	by	ADP
cana-4411	90	13	the	the	DET
cana-4411	90	14	local	local	ADJ
cana-4411	90	15	strength	strength	NOUN
cana-4411	90	16	of	of	ADP
cana-4411	90	17	the	the	DET
cana-4411	90	18	magnetic	magnetic	ADJ
cana-4411	90	19	field	field	NOUN
cana-4411	90	20	and	and	CCONJ
cana-4411	90	21	the	the	DET
cana-4411	90	22	viscosity	viscosity	NOUN
cana-4411	90	23	of	of	ADP
cana-4411	90	24	the	the	DET
cana-4411	90	25	fluid	fluid	NOUN
cana-4411	90	26	.	.	PUNCT
cana-4411	91	1	figure	figure	NOUN
cana-4411	91	2	4	4	NUM
cana-4411	91	3	the	the	DET
cana-4411	91	4	velocity	velocity	NOUN
cana-4411	91	5	profile	profile	NOUN
cana-4411	91	6	against	against	ADP
cana-4411	91	7	figure	figure	NOUN
cana-4411	91	8	5	5	NUM
cana-4411	91	9	the	the	DET
cana-4411	91	10	velocity	velocity	NOUN
cana-4411	91	11	profile	profile	NOUN
cana-4411	91	12	against	against	ADP
cana-4411	91	13	gm	gm	PROPN
cana-4411	91	14	figure	figure	NOUN
cana-4411	91	15	6	6	NUM
cana-4411	91	16	the	the	DET
cana-4411	91	17	velocity	velocity	NOUN
cana-4411	91	18	profile	profile	NOUN
cana-4411	91	19	against	against	ADP
cana-4411	91	20	gr	gr	NOUN
cana-4411	91	21	figure	figure	NOUN
cana-4411	91	22	7	7	NUM
cana-4411	91	23	the	the	DET
cana-4411	91	24	velocity	velocity	NOUN
cana-4411	91	25	profile	profile	NOUN
cana-4411	91	26	against	against	ADP
cana-4411	91	27	(	(	PUNCT
cana-4411	91	28	t	t	NOUN
cana-4411	91	29	)	)	PUNCT
cana-4411	91	30	figure	figure	NOUN
cana-4411	91	31	8	8	NUM
cana-4411	91	32	the	the	DET
cana-4411	91	33	velocity	velocity	NOUN
cana-4411	91	34	profile	profile	NOUN
cana-4411	91	35	against	against	ADP
cana-4411	91	36	n	n	PRON
cana-4411	91	37	communications	communication	NOUN
cana-4411	91	38	on	on	ADP
cana-4411	91	39	applied	apply	VERB
cana-4411	91	40	nonlinear	nonlinear	ADJ
cana-4411	91	41	analysis	analysis	NOUN
cana-4411	91	42	issn	issn	NOUN
cana-4411	91	43	:	:	PUNCT
cana-4411	91	44	1074	1074	NUM
cana-4411	91	45	-	-	PUNCT
cana-4411	91	46	133x	133x	NUM
cana-4411	91	47	vol	vol	NOUN
cana-4411	91	48	31	31	NUM
cana-4411	91	49	no	no	NOUN
cana-4411	91	50	.	.	PUNCT
cana-4411	92	1	8s	8s	PROPN
cana-4411	92	2	(	(	PUNCT
cana-4411	92	3	2024	2024	NUM
cana-4411	92	4	)	)	PUNCT
cana-4411	92	5	804	804	NUM
cana-4411	92	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	92	7	figure	figure	NOUN
cana-4411	92	8	4	4	NUM
cana-4411	92	9	that	that	SCONJ
cana-4411	92	10	the	the	DET
cana-4411	92	11	ion	ion	NOUN
cana-4411	92	12	slip	slip	NOUN
cana-4411	92	13	parameter	parameter	NOUN
cana-4411	92	14	is	be	AUX
cana-4411	92	15	defined	define	VERB
cana-4411	92	16	as	as	ADP
cana-4411	92	17	the	the	DET
cana-4411	92	18	ratio	ratio	NOUN
cana-4411	92	19	of	of	ADP
cana-4411	92	20	the	the	DET
cana-4411	92	21	ion	ion	NOUN
cana-4411	92	22	gyrofrequency	gyrofrequency	NOUN
cana-4411	92	23	to	to	ADP
cana-4411	92	24	the	the	DET
cana-4411	92	25	electron	electron	NOUN
cana-4411	92	26	collision	collision	NOUN
cana-4411	92	27	frequency	frequency	NOUN
cana-4411	92	28	.	.	PUNCT
cana-4411	93	1	it	it	PRON
cana-4411	93	2	is	be	AUX
cana-4411	93	3	a	a	DET
cana-4411	93	4	dimensionless	dimensionless	NOUN
cana-4411	93	5	parameter	parameter	NOUN
cana-4411	93	6	that	that	PRON
cana-4411	93	7	quantifies	quantify	VERB
cana-4411	93	8	the	the	DET
cana-4411	93	9	importance	importance	NOUN
cana-4411	93	10	of	of	ADP
cana-4411	93	11	the	the	DET
cana-4411	93	12	hall	hall	NOUN
cana-4411	93	13	effect	effect	NOUN
cana-4411	93	14	in	in	ADP
cana-4411	93	15	a	a	DET
cana-4411	93	16	plasma	plasma	NOUN
cana-4411	93	17	.	.	PUNCT
cana-4411	94	1	when	when	SCONJ
cana-4411	94	2	the	the	DET
cana-4411	94	3	ion	ion	NOUN
cana-4411	94	4	slip	slip	NOUN
cana-4411	94	5	parameter	parameter	NOUN
cana-4411	94	6	is	be	AUX
cana-4411	94	7	large	large	ADJ
cana-4411	94	8	,	,	PUNCT
cana-4411	94	9	the	the	DET
cana-4411	94	10	hall	hall	NOUN
cana-4411	94	11	effect	effect	NOUN
cana-4411	94	12	is	be	AUX
cana-4411	94	13	dominant	dominant	ADJ
cana-4411	94	14	and	and	CCONJ
cana-4411	94	15	can	can	AUX
cana-4411	94	16	significantly	significantly	ADV
cana-4411	94	17	alter	alter	VERB
cana-4411	94	18	the	the	DET
cana-4411	94	19	plasma	plasma	NOUN
cana-4411	94	20	's	's	PART
cana-4411	94	21	velocity	velocity	NOUN
cana-4411	94	22	profile	profile	NOUN
cana-4411	94	23	.	.	PUNCT
cana-4411	95	1	specifically	specifically	ADV
cana-4411	95	2	,	,	PUNCT
cana-4411	95	3	the	the	DET
cana-4411	95	4	ion	ion	NOUN
cana-4411	95	5	slip	slip	NOUN
cana-4411	95	6	parameter	parameter	NOUN
cana-4411	95	7	can	can	AUX
cana-4411	95	8	affect	affect	VERB
cana-4411	95	9	both	both	PRON
cana-4411	95	10	the	the	DET
cana-4411	95	11	u	u	NOUN
cana-4411	95	12	and	and	CCONJ
cana-4411	95	13	v	v	ADJ
cana-4411	95	14	regions	region	NOUN
cana-4411	95	15	of	of	ADP
cana-4411	95	16	the	the	DET
cana-4411	95	17	velocity	velocity	NOUN
cana-4411	95	18	profile	profile	NOUN
cana-4411	95	19	because	because	SCONJ
cana-4411	95	20	it	it	PRON
cana-4411	95	21	can	can	AUX
cana-4411	95	22	create	create	VERB
cana-4411	95	23	a	a	DET
cana-4411	95	24	shearing	shearing	NOUN
cana-4411	95	25	effect	effect	NOUN
cana-4411	95	26	between	between	ADP
cana-4411	95	27	these	these	DET
cana-4411	95	28	regions	region	NOUN
cana-4411	95	29	.	.	PUNCT
cana-4411	96	1	the	the	DET
cana-4411	96	2	u	u	PROPN
cana-4411	96	3	region	region	NOUN
cana-4411	96	4	is	be	AUX
cana-4411	96	5	typically	typically	ADV
cana-4411	96	6	characterized	characterize	VERB
cana-4411	96	7	by	by	ADP
cana-4411	96	8	a	a	DET
cana-4411	96	9	high	high	ADJ
cana-4411	96	10	ion	ion	NOUN
cana-4411	96	11	density	density	NOUN
cana-4411	96	12	and	and	CCONJ
cana-4411	96	13	a	a	DET
cana-4411	96	14	relatively	relatively	ADV
cana-4411	96	15	low	low	ADJ
cana-4411	96	16	electron	electron	NOUN
cana-4411	96	17	temperature	temperature	NOUN
cana-4411	96	18	,	,	PUNCT
cana-4411	96	19	while	while	SCONJ
cana-4411	96	20	the	the	DET
cana-4411	96	21	v	v	NOUN
cana-4411	96	22	region	region	NOUN
cana-4411	96	23	has	have	VERB
cana-4411	96	24	a	a	DET
cana-4411	96	25	lower	low	ADJ
cana-4411	96	26	ion	ion	NOUN
cana-4411	96	27	density	density	NOUN
cana-4411	96	28	and	and	CCONJ
cana-4411	96	29	a	a	DET
cana-4411	96	30	higher	high	ADJ
cana-4411	96	31	electron	electron	NOUN
cana-4411	96	32	temperature	temperature	NOUN
cana-4411	96	33	.	.	PUNCT
cana-4411	97	1	when	when	SCONJ
cana-4411	97	2	the	the	DET
cana-4411	97	3	ion	ion	NOUN
cana-4411	97	4	slip	slip	NOUN
cana-4411	97	5	parameter	parameter	NOUN
cana-4411	97	6	is	be	AUX
cana-4411	97	7	large	large	ADJ
cana-4411	97	8	,	,	PUNCT
cana-4411	97	9	the	the	DET
cana-4411	97	10	hall	hall	NOUN
cana-4411	97	11	effect	effect	NOUN
cana-4411	97	12	can	can	AUX
cana-4411	97	13	cause	cause	VERB
cana-4411	97	14	a	a	DET
cana-4411	97	15	shearing	shearing	NOUN
cana-4411	97	16	between	between	ADP
cana-4411	97	17	these	these	DET
cana-4411	97	18	regions	region	NOUN
cana-4411	97	19	,	,	PUNCT
cana-4411	97	20	leading	lead	VERB
cana-4411	97	21	to	to	ADP
cana-4411	97	22	a	a	DET
cana-4411	97	23	rise	rise	NOUN
cana-4411	97	24	in	in	ADP
cana-4411	97	25	the	the	DET
cana-4411	97	26	fluid	fluid	ADJ
cana-4411	97	27	velocity	velocity	NOUN
cana-4411	97	28	profile	profile	NOUN
cana-4411	97	29	in	in	ADP
cana-4411	97	30	both	both	CCONJ
cana-4411	97	31	the	the	DET
cana-4411	97	32	u	u	NOUN
cana-4411	97	33	and	and	CCONJ
cana-4411	97	34	v	v	ADJ
cana-4411	97	35	regions	region	NOUN
cana-4411	97	36	.	.	PUNCT
cana-4411	98	1	figure	figure	VERB
cana-4411	98	2	5	5	NUM
cana-4411	98	3	that	that	SCONJ
cana-4411	98	4	the	the	DET
cana-4411	98	5	mass	mass	ADJ
cana-4411	98	6	grashof	grashof	NOUN
cana-4411	98	7	number(gm	number(gm	NOUN
cana-4411	98	8	)	)	PUNCT
cana-4411	98	9	specifically	specifically	ADV
cana-4411	98	10	takes	take	VERB
cana-4411	98	11	into	into	ADP
cana-4411	98	12	account	account	NOUN
cana-4411	98	13	the	the	DET
cana-4411	98	14	effects	effect	NOUN
cana-4411	98	15	of	of	ADP
cana-4411	98	16	density	density	NOUN
cana-4411	98	17	variations	variation	NOUN
cana-4411	98	18	in	in	ADP
cana-4411	98	19	the	the	DET
cana-4411	98	20	fluid	fluid	NOUN
cana-4411	98	21	.	.	PUNCT
cana-4411	99	1	while	while	SCONJ
cana-4411	99	2	the	the	DET
cana-4411	99	3	mass	mass	ADJ
cana-4411	99	4	grashof	grashof	ADJ
cana-4411	99	5	number	number	NOUN
cana-4411	99	6	(	(	PUNCT
cana-4411	99	7	gm	gm	PROPN
cana-4411	99	8	)	)	PUNCT
cana-4411	99	9	rises	rise	VERB
cana-4411	99	10	,	,	PUNCT
cana-4411	99	11	the	the	DET
cana-4411	99	12	buoyancy	buoyancy	NOUN
cana-4411	99	13	force	force	NOUN
cana-4411	99	14	controls	control	VERB
cana-4411	99	15	over	over	ADP
cana-4411	99	16	the	the	DET
cana-4411	99	17	viscous	viscous	ADJ
cana-4411	99	18	force	force	NOUN
cana-4411	99	19	,	,	PUNCT
cana-4411	99	20	leading	lead	VERB
cana-4411	99	21	to	to	ADP
cana-4411	99	22	the	the	DET
cana-4411	99	23	development	development	NOUN
cana-4411	99	24	of	of	ADP
cana-4411	99	25	convection	convection	NOUN
cana-4411	99	26	currents	current	NOUN
cana-4411	99	27	in	in	ADP
cana-4411	99	28	the	the	DET
cana-4411	99	29	fluid	fluid	NOUN
cana-4411	99	30	.	.	PUNCT
cana-4411	100	1	these	these	DET
cana-4411	100	2	convection	convection	NOUN
cana-4411	100	3	currents	current	NOUN
cana-4411	100	4	cause	cause	VERB
cana-4411	100	5	mixing	mixing	NOUN
cana-4411	100	6	and	and	CCONJ
cana-4411	100	7	lead	lead	VERB
cana-4411	100	8	to	to	ADP
cana-4411	100	9	aextra	aextra	PROPN
cana-4411	100	10	uniform	uniform	ADJ
cana-4411	100	11	temperature	temperature	NOUN
cana-4411	100	12	distribution	distribution	NOUN
cana-4411	100	13	within	within	ADP
cana-4411	100	14	the	the	DET
cana-4411	100	15	fluid	fluid	NOUN
cana-4411	100	16	.	.	PUNCT
cana-4411	101	1	as	as	ADP
cana-4411	101	2	a	a	DET
cana-4411	101	3	result	result	NOUN
cana-4411	101	4	,	,	PUNCT
cana-4411	101	5	the	the	DET
cana-4411	101	6	velocity	velocity	NOUN
cana-4411	101	7	profile	profile	NOUN
cana-4411	101	8	becomes	become	VERB
cana-4411	101	9	more	more	ADV
cana-4411	101	10	uniform	uniform	ADJ
cana-4411	101	11	and	and	CCONJ
cana-4411	101	12	the	the	DET
cana-4411	101	13	velocity	velocity	NOUN
cana-4411	101	14	in	in	ADP
cana-4411	101	15	both	both	DET
cana-4411	101	16	regions	region	NOUN
cana-4411	101	17	u	u	NOUN
cana-4411	101	18	and	and	CCONJ
cana-4411	101	19	v	v	ADP
cana-4411	101	20	decreases	decrease	NOUN
cana-4411	101	21	.	.	PUNCT
cana-4411	102	1	figure	figure	VERB
cana-4411	102	2	6	6	NUM
cana-4411	102	3	that	that	SCONJ
cana-4411	102	4	he	he	PRON
cana-4411	102	5	thermal	thermal	ADJ
cana-4411	102	6	grashof	grashof	ADJ
cana-4411	102	7	number	number	NOUN
cana-4411	102	8	(	(	PUNCT
cana-4411	102	9	gr	gr	NOUN
cana-4411	102	10	)	)	PUNCT
cana-4411	102	11	is	be	AUX
cana-4411	102	12	well	well	ADV
cana-4411	102	13	-	-	PUNCT
cana-4411	102	14	defined	define	VERB
cana-4411	102	15	in	in	ADP
cana-4411	102	16	place	place	NOUN
cana-4411	102	17	of	of	ADP
cana-4411	102	18	the	the	DET
cana-4411	102	19	product	product	NOUN
cana-4411	102	20	of	of	ADP
cana-4411	102	21	the	the	DET
cana-4411	102	22	ratio	ratio	NOUN
cana-4411	102	23	,	,	PUNCT
cana-4411	102	24	the	the	DET
cana-4411	102	25	forces	force	NOUN
cana-4411	102	26	of	of	ADP
cana-4411	102	27	buoyancy	buoyancy	NOUN
cana-4411	102	28	to	to	ADP
cana-4411	102	29	viscous	viscous	ADJ
cana-4411	102	30	grashof	grashof	ADJ
cana-4411	102	31	number	number	NOUN
cana-4411	102	32	(	(	PUNCT
cana-4411	102	33	gr	gr	NOUN
cana-4411	102	34	)	)	PUNCT
cana-4411	102	35	and	and	CCONJ
cana-4411	102	36	the	the	DET
cana-4411	102	37	thermal	thermal	ADJ
cana-4411	102	38	diffusivity	diffusivity	NOUN
cana-4411	102	39	ratio	ratio	NOUN
cana-4411	102	40	to	to	ADP
cana-4411	102	41	kinematic	kinematic	ADJ
cana-4411	102	42	viscosity	viscosity	NOUN
cana-4411	102	43	(	(	PUNCT
cana-4411	102	44	pr	pr	NOUN
cana-4411	102	45	)	)	PUNCT
cana-4411	102	46	.	.	PUNCT
cana-4411	103	1	when	when	SCONJ
cana-4411	103	2	the	the	DET
cana-4411	103	3	grashof	grashof	ADJ
cana-4411	103	4	number	number	NOUN
cana-4411	103	5	(	(	PUNCT
cana-4411	103	6	gr	gr	NOUN
cana-4411	103	7	)	)	PUNCT
cana-4411	103	8	number	number	NOUN
cana-4411	103	9	increases	increase	NOUN
cana-4411	103	10	,	,	PUNCT
cana-4411	103	11	it	it	PRON
cana-4411	103	12	implies	imply	VERB
cana-4411	103	13	that	that	SCONJ
cana-4411	103	14	the	the	DET
cana-4411	103	15	buoyancy	buoyancy	NOUN
cana-4411	103	16	forces	force	NOUN
cana-4411	103	17	become	become	VERB
cana-4411	103	18	relatively	relatively	ADV
cana-4411	103	19	stronger	strong	ADJ
cana-4411	103	20	than	than	ADP
cana-4411	103	21	the	the	DET
cana-4411	103	22	viscous	viscous	ADJ
cana-4411	103	23	forces	force	NOUN
cana-4411	103	24	.	.	PUNCT
cana-4411	104	1	as	as	ADP
cana-4411	104	2	a	a	DET
cana-4411	104	3	result	result	NOUN
cana-4411	104	4	,	,	PUNCT
cana-4411	104	5	the	the	DET
cana-4411	104	6	velocity	velocity	NOUN
cana-4411	104	7	profile	profile	NOUN
cana-4411	104	8	in	in	ADP
cana-4411	104	9	both	both	CCONJ
cana-4411	104	10	the	the	DET
cana-4411	104	11	regions	region	NOUN
cana-4411	104	12	u	u	NOUN
cana-4411	104	13	and	and	CCONJ
cana-4411	104	14	v	v	NOUN
cana-4411	104	15	is	be	AUX
cana-4411	104	16	affected	affect	VERB
cana-4411	104	17	.	.	PUNCT
cana-4411	105	1	in	in	ADP
cana-4411	105	2	the	the	DET
cana-4411	105	3	region	region	NOUN
cana-4411	105	4	u	u	NOUN
cana-4411	105	5	(	(	PUNCT
cana-4411	105	6	parallel	parallel	ADJ
cana-4411	105	7	to	to	ADP
cana-4411	105	8	the	the	DET
cana-4411	105	9	hot	hot	ADJ
cana-4411	105	10	surface	surface	NOUN
cana-4411	105	11	)	)	PUNCT
cana-4411	105	12	,	,	PUNCT
cana-4411	105	13	the	the	DET
cana-4411	105	14	velocity	velocity	NOUN
cana-4411	105	15	increases	increase	VERB
cana-4411	105	16	as	as	ADP
cana-4411	105	17	the	the	DET
cana-4411	105	18	convective	convective	ADJ
cana-4411	105	19	cells	cell	NOUN
cana-4411	105	20	form	form	VERB
cana-4411	105	21	and	and	CCONJ
cana-4411	105	22	transport	transport	NOUN
cana-4411	105	23	fluid	fluid	NOUN
cana-4411	105	24	particles	particle	NOUN
cana-4411	105	25	upwards	upwards	ADV
cana-4411	105	26	.	.	PUNCT
cana-4411	106	1	in	in	ADP
cana-4411	106	2	the	the	DET
cana-4411	106	3	region	region	NOUN
cana-4411	106	4	v	v	NOUN
cana-4411	106	5	(	(	PUNCT
cana-4411	106	6	perpendicular	perpendicular	ADJ
cana-4411	106	7	to	to	ADP
cana-4411	106	8	the	the	DET
cana-4411	106	9	hot	hot	ADJ
cana-4411	106	10	surface	surface	NOUN
cana-4411	106	11	)	)	PUNCT
cana-4411	106	12	,	,	PUNCT
cana-4411	106	13	the	the	DET
cana-4411	106	14	velocity	velocity	NOUN
cana-4411	106	15	also	also	ADV
cana-4411	106	16	increases	increase	VERB
cana-4411	106	17	due	due	ADJ
cana-4411	106	18	to	to	ADP
cana-4411	106	19	the	the	DET
cana-4411	106	20	mixing	mixing	NOUN
cana-4411	106	21	and	and	CCONJ
cana-4411	106	22	exchange	exchange	NOUN
cana-4411	106	23	of	of	ADP
cana-4411	106	24	fluid	fluid	ADJ
cana-4411	106	25	particles	particle	NOUN
cana-4411	106	26	caused	cause	VERB
cana-4411	106	27	by	by	ADP
cana-4411	106	28	the	the	DET
cana-4411	106	29	convective	convective	ADJ
cana-4411	106	30	cells	cell	NOUN
cana-4411	106	31	.	.	PUNCT
cana-4411	107	1	this	this	PRON
cana-4411	107	2	leads	lead	VERB
cana-4411	107	3	to	to	ADP
cana-4411	107	4	a	a	DET
cana-4411	107	5	more	more	ADV
cana-4411	107	6	uniform	uniform	ADJ
cana-4411	107	7	velocity	velocity	NOUN
cana-4411	107	8	profile	profile	NOUN
cana-4411	107	9	across	across	ADP
cana-4411	107	10	the	the	DET
cana-4411	107	11	flow	flow	NOUN
cana-4411	107	12	direction	direction	NOUN
cana-4411	107	13	.	.	PUNCT
cana-4411	108	1	hence	hence	ADV
cana-4411	108	2	the	the	DET
cana-4411	108	3	increase	increase	NOUN
cana-4411	108	4	in	in	ADP
cana-4411	108	5	the	the	DET
cana-4411	108	6	thermal	thermal	ADJ
cana-4411	108	7	grashof	grashof	ADJ
cana-4411	108	8	number	number	NOUN
cana-4411	108	9	(	(	PUNCT
cana-4411	108	10	gr	gr	NOUN
cana-4411	108	11	)	)	PUNCT
cana-4411	108	12	enhances	enhance	VERB
cana-4411	108	13	the	the	DET
cana-4411	108	14	buoyancy	buoyancy	NOUN
cana-4411	108	15	-	-	PUNCT
cana-4411	108	16	driven	drive	VERB
cana-4411	108	17	convection	convection	NOUN
cana-4411	108	18	,	,	PUNCT
cana-4411	108	19	which	which	PRON
cana-4411	108	20	affects	affect	VERB
cana-4411	108	21	the	the	DET
cana-4411	108	22	velocity	velocity	NOUN
cana-4411	108	23	profile	profile	NOUN
cana-4411	108	24	in	in	ADP
cana-4411	108	25	both	both	CCONJ
cana-4411	108	26	the	the	DET
cana-4411	108	27	u	u	NOUN
cana-4411	108	28	and	and	CCONJ
cana-4411	108	29	v	v	ADJ
cana-4411	108	30	regions	region	NOUN
cana-4411	108	31	of	of	ADP
cana-4411	108	32	the	the	DET
cana-4411	108	33	fluid	fluid	ADJ
cana-4411	108	34	flow	flow	NOUN
cana-4411	108	35	.	.	PUNCT
cana-4411	109	1	figure	figure	NOUN
cana-4411	109	2	7	7	NUM
cana-4411	109	3	that	that	SCONJ
cana-4411	109	4	the	the	DET
cana-4411	109	5	dimensionless	dimensionless	NOUN
cana-4411	109	6	time	time	NOUN
cana-4411	109	7	(	(	PUNCT
cana-4411	109	8	t	t	NOUN
cana-4411	109	9	)	)	PUNCT
cana-4411	109	10	,	,	PUNCT
cana-4411	109	11	also	also	ADV
cana-4411	109	12	known	know	VERB
cana-4411	109	13	as	as	ADP
cana-4411	109	14	the	the	DET
cana-4411	109	15	dimensionless	dimensionless	NOUN
cana-4411	109	16	variable	variable	NOUN
cana-4411	109	17	,	,	PUNCT
cana-4411	109	18	is	be	AUX
cana-4411	109	19	a	a	DET
cana-4411	109	20	parameter	parameter	NOUN
cana-4411	109	21	used	use	VERB
cana-4411	109	22	to	to	PART
cana-4411	109	23	describe	describe	VERB
cana-4411	109	24	the	the	DET
cana-4411	109	25	velocity	velocity	NOUN
cana-4411	109	26	profile	profile	NOUN
cana-4411	109	27	over	over	ADP
cana-4411	109	28	time	time	NOUN
cana-4411	109	29	as	as	ADP
cana-4411	109	30	fluid	fluid	ADJ
cana-4411	109	31	flows	flow	NOUN
cana-4411	109	32	through	through	ADP
cana-4411	109	33	the	the	DET
cana-4411	109	34	channel	channel	NOUN
cana-4411	109	35	.	.	PUNCT
cana-4411	110	1	as	as	SCONJ
cana-4411	110	2	the	the	DET
cana-4411	110	3	fluid	fluid	NOUN
cana-4411	110	4	flows	flow	VERB
cana-4411	110	5	through	through	ADP
cana-4411	110	6	the	the	DET
cana-4411	110	7	channel	channel	NOUN
cana-4411	110	8	,	,	PUNCT
cana-4411	110	9	the	the	DET
cana-4411	110	10	velocity	velocity	NOUN
cana-4411	110	11	profile	profile	NOUN
cana-4411	110	12	changes	change	NOUN
cana-4411	110	13	over	over	ADP
cana-4411	110	14	time	time	NOUN
cana-4411	110	15	due	due	ADP
cana-4411	110	16	to	to	ADP
cana-4411	110	17	various	various	ADJ
cana-4411	110	18	factors	factor	NOUN
cana-4411	110	19	such	such	ADJ
cana-4411	110	20	as	as	ADP
cana-4411	110	21	friction	friction	NOUN
cana-4411	110	22	,	,	PUNCT
cana-4411	110	23	turbulence	turbulence	NOUN
cana-4411	110	24	,	,	PUNCT
cana-4411	110	25	and	and	CCONJ
cana-4411	110	26	viscosity	viscosity	NOUN
cana-4411	110	27	.	.	PUNCT
cana-4411	111	1	in	in	ADP
cana-4411	111	2	both	both	CCONJ
cana-4411	111	3	the	the	DET
cana-4411	111	4	u	u	NOUN
cana-4411	111	5	and	and	CCONJ
cana-4411	111	6	v	v	ADJ
cana-4411	111	7	regions	region	NOUN
cana-4411	111	8	of	of	ADP
cana-4411	111	9	the	the	DET
cana-4411	111	10	velocity	velocity	NOUN
cana-4411	111	11	profile	profile	NOUN
cana-4411	111	12	,	,	PUNCT
cana-4411	111	13	the	the	DET
cana-4411	111	14	dimensionless	dimensionless	NOUN
cana-4411	111	15	time	time	NOUN
cana-4411	111	16	(	(	PUNCT
cana-4411	111	17	t	t	NOUN
cana-4411	111	18	)	)	PUNCT
cana-4411	111	19	increases	increase	NOUN
cana-4411	111	20	because	because	SCONJ
cana-4411	111	21	the	the	DET
cana-4411	111	22	fluid	fluid	ADJ
cana-4411	111	23	particles	particle	NOUN
cana-4411	111	24	in	in	ADP
cana-4411	111	25	these	these	DET
cana-4411	111	26	regions	region	NOUN
cana-4411	111	27	are	be	AUX
cana-4411	111	28	moving	move	VERB
cana-4411	111	29	at	at	ADP
cana-4411	111	30	a	a	DET
cana-4411	111	31	slower	slow	ADJ
cana-4411	111	32	velocity	velocity	NOUN
cana-4411	111	33	than	than	ADP
cana-4411	111	34	in	in	ADP
cana-4411	111	35	the	the	DET
cana-4411	111	36	core	core	NOUN
cana-4411	111	37	region	region	NOUN
cana-4411	111	38	.	.	PUNCT
cana-4411	112	1	as	as	SCONJ
cana-4411	112	2	the	the	DET
cana-4411	112	3	fluid	fluid	NOUN
cana-4411	112	4	flows	flow	VERB
cana-4411	112	5	through	through	ADP
cana-4411	112	6	the	the	DET
cana-4411	112	7	channel	channel	NOUN
cana-4411	112	8	,	,	PUNCT
cana-4411	112	9	the	the	DET
cana-4411	112	10	velocity	velocity	NOUN
cana-4411	112	11	profile	profile	NOUN
cana-4411	112	12	changes	change	NOUN
cana-4411	112	13	over	over	ADP
cana-4411	112	14	time	time	NOUN
cana-4411	112	15	due	due	ADP
cana-4411	112	16	to	to	ADP
cana-4411	112	17	various	various	ADJ
cana-4411	112	18	factors	factor	NOUN
cana-4411	112	19	such	such	ADJ
cana-4411	112	20	as	as	ADP
cana-4411	112	21	friction	friction	NOUN
cana-4411	112	22	,	,	PUNCT
cana-4411	112	23	turbulence	turbulence	NOUN
cana-4411	112	24	,	,	PUNCT
cana-4411	112	25	and	and	CCONJ
cana-4411	112	26	viscosity	viscosity	NOUN
cana-4411	112	27	.	.	PUNCT
cana-4411	113	1	in	in	ADP
cana-4411	113	2	both	both	CCONJ
cana-4411	113	3	the	the	DET
cana-4411	113	4	u	u	NOUN
cana-4411	113	5	and	and	CCONJ
cana-4411	113	6	v	v	ADJ
cana-4411	113	7	regions	region	NOUN
cana-4411	113	8	of	of	ADP
cana-4411	113	9	the	the	DET
cana-4411	113	10	velocity	velocity	NOUN
cana-4411	113	11	profile	profile	NOUN
cana-4411	113	12	,	,	PUNCT
cana-4411	113	13	the	the	DET
cana-4411	113	14	dimensionless	dimensionless	NOUN
cana-4411	113	15	time	time	NOUN
cana-4411	113	16	t	t	PROPN
cana-4411	113	17	increases	increase	VERB
cana-4411	113	18	because	because	SCONJ
cana-4411	113	19	the	the	DET
cana-4411	113	20	fluid	fluid	ADJ
cana-4411	113	21	particles	particle	NOUN
cana-4411	113	22	in	in	ADP
cana-4411	113	23	these	these	DET
cana-4411	113	24	regions	region	NOUN
cana-4411	113	25	are	be	AUX
cana-4411	113	26	moving	move	VERB
cana-4411	113	27	at	at	ADP
cana-4411	113	28	a	a	DET
cana-4411	113	29	slower	slow	ADJ
cana-4411	113	30	velocity	velocity	NOUN
cana-4411	113	31	than	than	ADP
cana-4411	113	32	in	in	ADP
cana-4411	113	33	the	the	DET
cana-4411	113	34	core	core	NOUN
cana-4411	113	35	region	region	NOUN
cana-4411	113	36	.	.	PUNCT
cana-4411	114	1	as	as	SCONJ
cana-4411	114	2	the	the	DET
cana-4411	114	3	fluid	fluid	ADJ
cana-4411	114	4	particles	particle	NOUN
cana-4411	114	5	in	in	ADP
cana-4411	114	6	the	the	DET
cana-4411	114	7	u	u	NOUN
cana-4411	114	8	and	and	CCONJ
cana-4411	114	9	v	v	NOUN
cana-4411	114	10	regions	region	NOUN
cana-4411	114	11	move	move	VERB
cana-4411	114	12	at	at	ADP
cana-4411	114	13	a	a	DET
cana-4411	114	14	slower	slow	ADJ
cana-4411	114	15	velocity	velocity	NOUN
cana-4411	114	16	than	than	ADP
cana-4411	114	17	those	those	PRON
cana-4411	114	18	in	in	ADP
cana-4411	114	19	the	the	DET
cana-4411	114	20	core	core	NOUN
cana-4411	114	21	region	region	NOUN
cana-4411	114	22	,	,	PUNCT
cana-4411	114	23	it	it	PRON
cana-4411	114	24	takes	take	VERB
cana-4411	114	25	them	they	PRON
cana-4411	114	26	more	more	ADJ
cana-4411	114	27	time	time	NOUN
cana-4411	114	28	to	to	PART
cana-4411	114	29	travel	travel	VERB
cana-4411	114	30	the	the	DET
cana-4411	114	31	same	same	ADJ
cana-4411	114	32	distance	distance	NOUN
cana-4411	114	33	.	.	PUNCT
cana-4411	115	1	this	this	PRON
cana-4411	115	2	is	be	AUX
cana-4411	115	3	why	why	SCONJ
cana-4411	115	4	the	the	DET
cana-4411	115	5	dimensionless	dimensionless	ADJ
cana-4411	115	6	time	time	NOUN
cana-4411	115	7	(	(	PUNCT
cana-4411	115	8	t	t	NOUN
cana-4411	115	9	)	)	PUNCT
cana-4411	115	10	increases	increase	NOUN
cana-4411	115	11	in	in	ADP
cana-4411	115	12	both	both	CCONJ
cana-4411	115	13	the	the	DET
cana-4411	115	14	u	u	NOUN
cana-4411	115	15	and	and	CCONJ
cana-4411	115	16	v	v	ADJ
cana-4411	115	17	regions	region	NOUN
cana-4411	115	18	of	of	ADP
cana-4411	115	19	the	the	DET
cana-4411	115	20	velocity	velocity	NOUN
cana-4411	115	21	profile	profile	NOUN
cana-4411	115	22	.	.	PUNCT
cana-4411	116	1	figure	figure	VERB
cana-4411	116	2	8	8	NUM
cana-4411	116	3	that	that	SCONJ
cana-4411	116	4	the	the	DET
cana-4411	116	5	radiation	radiation	NOUN
cana-4411	116	6	parameter	parameter	NOUN
cana-4411	116	7	(	(	PUNCT
cana-4411	116	8	n	n	CCONJ
cana-4411	116	9	)	)	PUNCT
cana-4411	116	10	can	can	AUX
cana-4411	116	11	affect	affect	VERB
cana-4411	116	12	the	the	DET
cana-4411	116	13	velocity	velocity	NOUN
cana-4411	116	14	profile	profile	NOUN
cana-4411	116	15	of	of	ADP
cana-4411	116	16	a	a	DET
cana-4411	116	17	fluid	fluid	NOUN
cana-4411	116	18	in	in	ADP
cana-4411	116	19	multiple	multiple	ADJ
cana-4411	116	20	ways	way	NOUN
cana-4411	116	21	.	.	PUNCT
cana-4411	117	1	radiation	radiation	NOUN
cana-4411	117	2	parameter	parameter	NOUN
cana-4411	117	3	(	(	PUNCT
cana-4411	117	4	n	n	CCONJ
cana-4411	117	5	)	)	PUNCT
cana-4411	117	6	represents	represent	VERB
cana-4411	117	7	the	the	DET
cana-4411	117	8	ratio	ratio	NOUN
cana-4411	117	9	of	of	ADP
cana-4411	117	10	the	the	DET
cana-4411	117	11	radiation	radiation	NOUN
cana-4411	117	12	heat	heat	NOUN
cana-4411	117	13	transfer	transfer	NOUN
cana-4411	117	14	to	to	ADP
cana-4411	117	15	the	the	DET
cana-4411	117	16	convective	convective	ADJ
cana-4411	117	17	heat	heat	NOUN
cana-4411	117	18	transfer	transfer	NOUN
cana-4411	117	19	in	in	ADP
cana-4411	117	20	the	the	DET
cana-4411	117	21	fluid	fluid	NOUN
cana-4411	117	22	.	.	PUNCT
cana-4411	118	1	when	when	SCONJ
cana-4411	118	2	(	(	PUNCT
cana-4411	118	3	n	n	CCONJ
cana-4411	118	4	)	)	PUNCT
cana-4411	118	5	communications	communication	NOUN
cana-4411	118	6	on	on	ADP
cana-4411	118	7	applied	apply	VERB
cana-4411	118	8	nonlinear	nonlinear	ADJ
cana-4411	118	9	analysis	analysis	NOUN
cana-4411	118	10	issn	issn	NOUN
cana-4411	118	11	:	:	PUNCT
cana-4411	118	12	1074	1074	NUM
cana-4411	118	13	-	-	PUNCT
cana-4411	118	14	133x	133x	NUM
cana-4411	118	15	vol	vol	NOUN
cana-4411	118	16	31	31	NUM
cana-4411	118	17	no	no	NOUN
cana-4411	118	18	.	.	PUNCT
cana-4411	119	1	8s	8s	PROPN
cana-4411	119	2	(	(	PUNCT
cana-4411	119	3	2024	2024	NUM
cana-4411	119	4	)	)	PUNCT
cana-4411	119	5	805	805	NUM
cana-4411	119	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	119	7	increases	increase	NOUN
cana-4411	119	8	,	,	PUNCT
cana-4411	119	9	the	the	DET
cana-4411	119	10	importance	importance	NOUN
cana-4411	119	11	of	of	ADP
cana-4411	119	12	radiation	radiation	NOUN
cana-4411	119	13	heat	heat	NOUN
cana-4411	119	14	transfer	transfer	NOUN
cana-4411	119	15	relative	relative	ADJ
cana-4411	119	16	to	to	ADP
cana-4411	119	17	convective	convective	ADJ
cana-4411	119	18	heat	heat	NOUN
cana-4411	119	19	transfer	transfer	NOUN
cana-4411	119	20	increases	increase	NOUN
cana-4411	119	21	as	as	ADV
cana-4411	119	22	well	well	ADV
cana-4411	119	23	.	.	PUNCT
cana-4411	120	1	one	one	NUM
cana-4411	120	2	way	way	NOUN
cana-4411	120	3	in	in	ADP
cana-4411	120	4	which	which	PRON
cana-4411	120	5	this	this	PRON
cana-4411	120	6	can	can	AUX
cana-4411	120	7	affect	affect	VERB
cana-4411	120	8	the	the	DET
cana-4411	120	9	velocity	velocity	NOUN
cana-4411	120	10	profile	profile	NOUN
cana-4411	120	11	is	be	AUX
cana-4411	120	12	by	by	ADP
cana-4411	120	13	altering	alter	VERB
cana-4411	120	14	the	the	DET
cana-4411	120	15	temperature	temperature	NOUN
cana-4411	120	16	gradient	gradient	NOUN
cana-4411	120	17	in	in	ADP
cana-4411	120	18	the	the	DET
cana-4411	120	19	fluid	fluid	NOUN
cana-4411	120	20	.	.	PUNCT
cana-4411	121	1	temperature	temperature	NOUN
cana-4411	121	2	profile	profile	NOUN
cana-4411	121	3	figure	figure	NOUN
cana-4411	121	4	9	9	NUM
cana-4411	121	5	the	the	DET
cana-4411	121	6	temperature	temperature	NOUN
cana-4411	121	7	profile	profile	NOUN
cana-4411	121	8	against	against	ADP
cana-4411	121	9	t	t	PROPN
cana-4411	121	10	figure	figure	NOUN
cana-4411	121	11	10	10	NUM
cana-4411	121	12	the	the	DET
cana-4411	121	13	temperature	temperature	NOUN
cana-4411	121	14	profile	profile	NOUN
cana-4411	121	15	against	against	ADP
cana-4411	121	16	pr	pr	NOUN
cana-4411	121	17	figure	figure	NOUN
cana-4411	121	18	11	11	NUM
cana-4411	121	19	the	the	DET
cana-4411	121	20	temperature	temperature	NOUN
cana-4411	121	21	profile	profile	NOUN
cana-4411	121	22	against	against	ADP
cana-4411	121	23	n	n	PRON
cana-4411	121	24	figure	figure	NOUN
cana-4411	121	25	9	9	NUM
cana-4411	121	26	that	that	SCONJ
cana-4411	121	27	the	the	DET
cana-4411	121	28	temperature	temperature	NOUN
cana-4411	121	29	profile	profile	NOUN
cana-4411	121	30	can	can	AUX
cana-4411	121	31	be	be	AUX
cana-4411	121	32	described	describe	VERB
cana-4411	121	33	using	use	VERB
cana-4411	121	34	a	a	DET
cana-4411	121	35	dimensionless	dimensionless	ADJ
cana-4411	121	36	time	time	NOUN
cana-4411	121	37	(	(	PUNCT
cana-4411	121	38	t	t	NOUN
cana-4411	121	39	)	)	PUNCT
cana-4411	121	40	variable	variable	NOUN
cana-4411	121	41	.	.	PUNCT
cana-4411	122	1	dimensionless	dimensionless	ADJ
cana-4411	122	2	time	time	NOUN
cana-4411	122	3	(	(	PUNCT
cana-4411	122	4	t	t	NOUN
cana-4411	122	5	)	)	PUNCT
cana-4411	122	6	increases	increase	NOUN
cana-4411	122	7	in	in	ADP
cana-4411	122	8	the	the	DET
cana-4411	122	9	temperature	temperature	NOUN
cana-4411	122	10	profile	profile	NOUN
cana-4411	122	11	are	be	AUX
cana-4411	122	12	that	that	SCONJ
cana-4411	122	13	it	it	PRON
cana-4411	122	14	represents	represent	VERB
cana-4411	122	15	a	a	DET
cana-4411	122	16	normalized	normalized	ADJ
cana-4411	122	17	measure	measure	NOUN
cana-4411	122	18	of	of	ADP
cana-4411	122	19	time	time	NOUN
cana-4411	122	20	.	.	PUNCT
cana-4411	123	1	specifically	specifically	ADV
cana-4411	123	2	,	,	PUNCT
cana-4411	123	3	it	it	PRON
cana-4411	123	4	is	be	AUX
cana-4411	123	5	defined	define	VERB
cana-4411	123	6	as	as	ADP
cana-4411	123	7	the	the	DET
cana-4411	123	8	product	product	NOUN
cana-4411	123	9	of	of	ADP
cana-4411	123	10	the	the	DET
cana-4411	123	11	physical	physical	ADJ
cana-4411	123	12	time	time	NOUN
cana-4411	123	13	(	(	PUNCT
cana-4411	123	14	t	t	NOUN
cana-4411	123	15	)	)	PUNCT
cana-4411	123	16	and	and	CCONJ
cana-4411	123	17	some	some	DET
cana-4411	123	18	scaling	scale	VERB
cana-4411	123	19	factor	factor	NOUN
cana-4411	123	20	that	that	PRON
cana-4411	123	21	depends	depend	VERB
cana-4411	123	22	on	on	ADP
cana-4411	123	23	the	the	DET
cana-4411	123	24	specific	specific	ADJ
cana-4411	123	25	physical	physical	ADJ
cana-4411	123	26	system	system	NOUN
cana-4411	123	27	being	be	AUX
cana-4411	123	28	studied	study	VERB
cana-4411	123	29	.	.	PUNCT
cana-4411	124	1	as	as	ADP
cana-4411	124	2	time	time	NOUN
cana-4411	124	3	(	(	PUNCT
cana-4411	124	4	t	t	NOUN
cana-4411	124	5	)	)	PUNCT
cana-4411	124	6	increases	increase	NOUN
cana-4411	124	7	,	,	PUNCT
cana-4411	124	8	so	so	ADV
cana-4411	124	9	does	do	VERB
cana-4411	124	10	the	the	DET
cana-4411	124	11	dimensionless	dimensionless	NOUN
cana-4411	124	12	time	time	NOUN
cana-4411	124	13	(	(	PUNCT
cana-4411	124	14	t	t	NOUN
cana-4411	124	15	)	)	PUNCT
cana-4411	124	16	,	,	PUNCT
cana-4411	124	17	because	because	SCONJ
cana-4411	124	18	the	the	DET
cana-4411	124	19	scaling	scale	VERB
cana-4411	124	20	factor	factor	NOUN
cana-4411	124	21	remains	remain	VERB
cana-4411	124	22	constant	constant	ADJ
cana-4411	124	23	.	.	PUNCT
cana-4411	125	1	the	the	DET
cana-4411	125	2	increase	increase	NOUN
cana-4411	125	3	in	in	ADP
cana-4411	125	4	dimensionless	dimensionless	ADJ
cana-4411	125	5	time	time	NOUN
cana-4411	125	6	(	(	PUNCT
cana-4411	125	7	t	t	NOUN
cana-4411	125	8	)	)	PUNCT
cana-4411	125	9	in	in	ADP
cana-4411	125	10	a	a	DET
cana-4411	125	11	temperature	temperature	NOUN
cana-4411	125	12	profile	profile	NOUN
cana-4411	125	13	reflects	reflect	VERB
cana-4411	125	14	the	the	DET
cana-4411	125	15	evolution	evolution	NOUN
cana-4411	125	16	of	of	ADP
cana-4411	125	17	the	the	DET
cana-4411	125	18	temperature	temperature	NOUN
cana-4411	125	19	profile	profile	NOUN
cana-4411	125	20	over	over	ADP
cana-4411	125	21	time	time	NOUN
cana-4411	125	22	,	,	PUNCT
cana-4411	125	23	normalized	normalize	VERB
cana-4411	125	24	using	use	VERB
cana-4411	125	25	a	a	DET
cana-4411	125	26	scaling	scale	VERB
cana-4411	125	27	factor	factor	NOUN
cana-4411	125	28	that	that	PRON
cana-4411	125	29	depends	depend	VERB
cana-4411	125	30	on	on	ADP
cana-4411	125	31	the	the	DET
cana-4411	125	32	specific	specific	ADJ
cana-4411	125	33	physical	physical	ADJ
cana-4411	125	34	system	system	NOUN
cana-4411	125	35	being	be	AUX
cana-4411	125	36	studied	study	VERB
cana-4411	125	37	.	.	PUNCT
cana-4411	126	1	figure	figure	VERB
cana-4411	126	2	10	10	NUM
cana-4411	126	3	that	that	SCONJ
cana-4411	126	4	the	the	DET
cana-4411	126	5	prandtl	prandtl	NOUN
cana-4411	126	6	number	number	NOUN
cana-4411	126	7	(	(	PUNCT
cana-4411	126	8	pr	pr	NOUN
cana-4411	126	9	)	)	PUNCT
cana-4411	126	10	relates	relate	VERB
cana-4411	126	11	the	the	DET
cana-4411	126	12	momentum	momentum	NOUN
cana-4411	126	13	diffusivity	diffusivity	NOUN
cana-4411	126	14	of	of	ADP
cana-4411	126	15	a	a	DET
cana-4411	126	16	fluid	fluid	NOUN
cana-4411	126	17	to	to	ADP
cana-4411	126	18	its	its	PRON
cana-4411	126	19	thermal	thermal	ADJ
cana-4411	126	20	diffusivity	diffusivity	NOUN
cana-4411	126	21	and	and	CCONJ
cana-4411	126	22	as	as	ADP
cana-4411	126	23	the	the	DET
cana-4411	126	24	ratio	ratio	NOUN
cana-4411	126	25	of	of	ADP
cana-4411	126	26	the	the	DET
cana-4411	126	27	kinematic	kinematic	ADJ
cana-4411	126	28	viscosity	viscosity	NOUN
cana-4411	126	29	to	to	ADP
cana-4411	126	30	the	the	DET
cana-4411	126	31	thermal	thermal	ADJ
cana-4411	126	32	diffusivity	diffusivity	NOUN
cana-4411	126	33	of	of	ADP
cana-4411	126	34	the	the	DET
cana-4411	126	35	fluid	fluid	NOUN
cana-4411	126	36	.	.	PUNCT
cana-4411	127	1	prandtl	prandtl	NOUN
cana-4411	127	2	number	number	NOUN
cana-4411	127	3	(	(	PUNCT
cana-4411	127	4	pr	pr	NOUN
cana-4411	127	5	)	)	PUNCT
cana-4411	127	6	can	can	AUX
cana-4411	127	7	decrease	decrease	VERB
cana-4411	127	8	due	due	ADP
cana-4411	127	9	to	to	ADP
cana-4411	127	10	changes	change	NOUN
cana-4411	127	11	in	in	ADP
cana-4411	127	12	the	the	DET
cana-4411	127	13	fluid	fluid	ADJ
cana-4411	127	14	properties	property	NOUN
cana-4411	127	15	as	as	ADP
cana-4411	127	16	temperature	temperature	NOUN
cana-4411	127	17	changes	change	NOUN
cana-4411	127	18	.	.	PUNCT
cana-4411	128	1	typically	typically	ADV
cana-4411	128	2	,	,	PUNCT
cana-4411	128	3	the	the	DET
cana-4411	128	4	thermal	thermal	ADJ
cana-4411	128	5	diffusivity	diffusivity	NOUN
cana-4411	128	6	of	of	ADP
cana-4411	128	7	a	a	DET
cana-4411	128	8	fluid	fluid	ADJ
cana-4411	128	9	increases	increase	NOUN
cana-4411	128	10	with	with	ADP
cana-4411	128	11	temperature	temperature	NOUN
cana-4411	128	12	,	,	PUNCT
cana-4411	128	13	while	while	SCONJ
cana-4411	128	14	the	the	DET
cana-4411	128	15	kinematic	kinematic	ADJ
cana-4411	128	16	viscosity	viscosity	NOUN
cana-4411	128	17	of	of	ADP
cana-4411	128	18	the	the	DET
cana-4411	128	19	fluid	fluid	NOUN
cana-4411	128	20	decreases	decrease	NOUN
cana-4411	128	21	with	with	ADP
cana-4411	128	22	temperature	temperature	NOUN
cana-4411	128	23	.	.	PUNCT
cana-4411	129	1	hence	hence	ADV
cana-4411	129	2	the	the	DET
cana-4411	129	3	temperature	temperature	NOUN
cana-4411	129	4	increases	increase	NOUN
cana-4411	129	5	,	,	PUNCT
cana-4411	129	6	the	the	DET
cana-4411	129	7	ratio	ratio	NOUN
cana-4411	129	8	of	of	ADP
cana-4411	129	9	the	the	DET
cana-4411	129	10	kinematic	kinematic	ADJ
cana-4411	129	11	viscosity	viscosity	NOUN
cana-4411	129	12	to	to	ADP
cana-4411	129	13	the	the	DET
cana-4411	129	14	thermal	thermal	ADJ
cana-4411	129	15	diffusivity	diffusivity	NOUN
cana-4411	129	16	(	(	PUNCT
cana-4411	129	17	i.e.	i.e.	X
cana-4411	129	18	,	,	PUNCT
cana-4411	129	19	the	the	DET
cana-4411	129	20	prandtl	prandtl	NOUN
cana-4411	129	21	number	number	NOUN
cana-4411	129	22	)	)	PUNCT
cana-4411	129	23	will	will	AUX
cana-4411	129	24	decrease	decrease	VERB
cana-4411	129	25	.	.	PUNCT
cana-4411	130	1	communications	communication	NOUN
cana-4411	130	2	on	on	ADP
cana-4411	130	3	applied	apply	VERB
cana-4411	130	4	nonlinear	nonlinear	ADJ
cana-4411	130	5	analysis	analysis	NOUN
cana-4411	130	6	issn	issn	NOUN
cana-4411	130	7	:	:	PUNCT
cana-4411	130	8	1074	1074	NUM
cana-4411	130	9	-	-	PUNCT
cana-4411	130	10	133x	133x	NUM
cana-4411	130	11	vol	vol	NOUN
cana-4411	130	12	31	31	NUM
cana-4411	130	13	no	no	NOUN
cana-4411	130	14	.	.	PUNCT
cana-4411	131	1	8s	8s	PROPN
cana-4411	131	2	(	(	PUNCT
cana-4411	131	3	2024	2024	NUM
cana-4411	131	4	)	)	PUNCT
cana-4411	131	5	806	806	NUM
cana-4411	131	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	131	7	figure	figure	NOUN
cana-4411	131	8	11	11	NUM
cana-4411	131	9	that	that	SCONJ
cana-4411	131	10	the	the	DET
cana-4411	131	11	thermal	thermal	ADJ
cana-4411	131	12	radiation	radiation	NOUN
cana-4411	131	13	(	(	PUNCT
cana-4411	131	14	n	n	CCONJ
cana-4411	131	15	)	)	PUNCT
cana-4411	131	16	is	be	AUX
cana-4411	131	17	the	the	DET
cana-4411	131	18	emission	emission	NOUN
cana-4411	131	19	of	of	ADP
cana-4411	131	20	electromagnetic	electromagnetic	ADJ
cana-4411	131	21	waves	wave	NOUN
cana-4411	131	22	by	by	ADP
cana-4411	131	23	a	a	DET
cana-4411	131	24	material	material	NOUN
cana-4411	131	25	due	due	ADP
cana-4411	131	26	to	to	ADP
cana-4411	131	27	its	its	PRON
cana-4411	131	28	temperature	temperature	NOUN
cana-4411	131	29	.	.	PUNCT
cana-4411	132	1	according	accord	VERB
cana-4411	132	2	to	to	ADP
cana-4411	132	3	the	the	DET
cana-4411	132	4	stefan	stefan	PROPN
cana-4411	132	5	-	-	PUNCT
cana-4411	132	6	boltzmann	boltzmann	PROPN
cana-4411	132	7	law	law	NOUN
cana-4411	132	8	,	,	PUNCT
cana-4411	132	9	the	the	DET
cana-4411	132	10	amount	amount	NOUN
cana-4411	132	11	of	of	ADP
cana-4411	132	12	thermal	thermal	ADJ
cana-4411	132	13	radiation	radiation	NOUN
cana-4411	132	14	(	(	PUNCT
cana-4411	132	15	n	n	CCONJ
cana-4411	132	16	)	)	PUNCT
cana-4411	132	17	emitted	emit	VERB
cana-4411	132	18	by	by	ADP
cana-4411	132	19	a	a	DET
cana-4411	132	20	material	material	NOUN
cana-4411	132	21	is	be	AUX
cana-4411	132	22	proportional	proportional	ADJ
cana-4411	132	23	to	to	ADP
cana-4411	132	24	the	the	DET
cana-4411	132	25	fourth	fourth	ADJ
cana-4411	132	26	power	power	NOUN
cana-4411	132	27	of	of	ADP
cana-4411	132	28	its	its	PRON
cana-4411	132	29	absolute	absolute	ADJ
cana-4411	132	30	temperature	temperature	NOUN
cana-4411	132	31	.	.	PUNCT
cana-4411	133	1	as	as	ADP
cana-4411	133	2	the	the	DET
cana-4411	133	3	temperature	temperature	NOUN
cana-4411	133	4	of	of	ADP
cana-4411	133	5	a	a	DET
cana-4411	133	6	material	material	NOUN
cana-4411	133	7	increases	increase	NOUN
cana-4411	133	8	,	,	PUNCT
cana-4411	133	9	the	the	DET
cana-4411	133	10	amount	amount	NOUN
cana-4411	133	11	of	of	ADP
cana-4411	133	12	thermal	thermal	ADJ
cana-4411	133	13	radiation	radiation	NOUN
cana-4411	133	14	(	(	PUNCT
cana-4411	133	15	n	n	CCONJ
cana-4411	133	16	)	)	PUNCT
cana-4411	133	17	it	it	PRON
cana-4411	133	18	emits	emit	VERB
cana-4411	133	19	increases	increase	NOUN
cana-4411	133	20	significantly	significantly	ADV
cana-4411	133	21	.	.	PUNCT
cana-4411	134	1	however	however	ADV
cana-4411	134	2	,	,	PUNCT
cana-4411	134	3	in	in	ADP
cana-4411	134	4	a	a	DET
cana-4411	134	5	temperature	temperature	NOUN
cana-4411	134	6	profile	profile	NOUN
cana-4411	134	7	,	,	PUNCT
cana-4411	134	8	the	the	DET
cana-4411	134	9	thermal	thermal	ADJ
cana-4411	134	10	radiation	radiation	NOUN
cana-4411	134	11	(	(	PUNCT
cana-4411	134	12	n	n	CCONJ
cana-4411	134	13	)	)	PUNCT
cana-4411	134	14	parameter	parameter	NOUN
cana-4411	134	15	may	may	AUX
cana-4411	134	16	appear	appear	VERB
cana-4411	134	17	to	to	ADP
cana-4411	134	18	lessening	lessen	VERB
cana-4411	134	19	as	as	ADP
cana-4411	134	20	the	the	DET
cana-4411	134	21	temperature	temperature	NOUN
cana-4411	134	22	increases	increase	NOUN
cana-4411	134	23	.	.	PUNCT
cana-4411	135	1	this	this	PRON
cana-4411	135	2	is	be	AUX
cana-4411	135	3	because	because	SCONJ
cana-4411	135	4	other	other	ADJ
cana-4411	135	5	factors	factor	NOUN
cana-4411	135	6	can	can	AUX
cana-4411	135	7	also	also	ADV
cana-4411	135	8	influence	influence	VERB
cana-4411	135	9	the	the	DET
cana-4411	135	10	temperature	temperature	NOUN
cana-4411	135	11	profile	profile	NOUN
cana-4411	135	12	,	,	PUNCT
cana-4411	135	13	such	such	ADJ
cana-4411	135	14	as	as	ADP
cana-4411	135	15	heat	heat	NOUN
cana-4411	135	16	transfer	transfer	NOUN
cana-4411	135	17	through	through	ADP
cana-4411	135	18	conduction	conduction	NOUN
cana-4411	135	19	or	or	CCONJ
cana-4411	135	20	convection	convection	NOUN
cana-4411	135	21	,	,	PUNCT
cana-4411	135	22	which	which	PRON
cana-4411	135	23	may	may	AUX
cana-4411	135	24	increase	increase	VERB
cana-4411	135	25	the	the	DET
cana-4411	135	26	temperature	temperature	NOUN
cana-4411	135	27	more	more	ADV
cana-4411	135	28	rapidly	rapidly	ADV
cana-4411	135	29	than	than	ADP
cana-4411	135	30	the	the	DET
cana-4411	135	31	increase	increase	NOUN
cana-4411	135	32	in	in	ADP
cana-4411	135	33	thermal	thermal	ADJ
cana-4411	135	34	radiation	radiation	NOUN
cana-4411	135	35	(	(	PUNCT
cana-4411	135	36	n	n	CCONJ
cana-4411	135	37	)	)	PUNCT
cana-4411	135	38	.	.	PUNCT
cana-4411	136	1	hence	hence	ADV
cana-4411	136	2	while	while	SCONJ
cana-4411	136	3	the	the	DET
cana-4411	136	4	amount	amount	NOUN
cana-4411	136	5	of	of	ADP
cana-4411	136	6	thermal	thermal	ADJ
cana-4411	136	7	radiation	radiation	NOUN
cana-4411	136	8	(	(	PUNCT
cana-4411	136	9	n	n	CCONJ
cana-4411	136	10	)	)	PUNCT
cana-4411	136	11	emitted	emit	VERB
cana-4411	136	12	by	by	ADP
cana-4411	136	13	a	a	DET
cana-4411	136	14	material	material	NOUN
cana-4411	136	15	increases	increase	NOUN
cana-4411	136	16	with	with	ADP
cana-4411	136	17	temperature	temperature	NOUN
cana-4411	136	18	according	accord	VERB
cana-4411	136	19	to	to	ADP
cana-4411	136	20	the	the	DET
cana-4411	136	21	stefanboltzmann	stefanboltzmann	PROPN
cana-4411	136	22	law	law	NOUN
cana-4411	136	23	,	,	PUNCT
cana-4411	136	24	other	other	ADJ
cana-4411	136	25	factors	factor	NOUN
cana-4411	136	26	can	can	AUX
cana-4411	136	27	affect	affect	VERB
cana-4411	136	28	the	the	DET
cana-4411	136	29	temperature	temperature	NOUN
cana-4411	136	30	profile	profile	NOUN
cana-4411	136	31	and	and	CCONJ
cana-4411	136	32	cause	cause	VERB
cana-4411	136	33	the	the	DET
cana-4411	136	34	thermal	thermal	ADJ
cana-4411	136	35	radiation	radiation	NOUN
cana-4411	136	36	(	(	PUNCT
cana-4411	136	37	n	n	CCONJ
cana-4411	136	38	)	)	PUNCT
cana-4411	136	39	parameter	parameter	NOUN
cana-4411	136	40	to	to	PART
cana-4411	136	41	appear	appear	VERB
cana-4411	136	42	to	to	PART
cana-4411	136	43	decrease	decrease	VERB
cana-4411	136	44	.	.	PUNCT
cana-4411	137	1	concentration	concentration	NOUN
cana-4411	137	2	profile	profile	NOUN
cana-4411	137	3	figure	figure	VERB
cana-4411	137	4	12	12	NUM
cana-4411	137	5	concentration	concentration	NOUN
cana-4411	137	6	profile	profile	NOUN
cana-4411	137	7	against	against	ADP
cana-4411	137	8	kc	kc	PROPN
cana-4411	137	9	figure	figure	NOUN
cana-4411	137	10	13	13	NUM
cana-4411	137	11	the	the	DET
cana-4411	137	12	concentration	concentration	NOUN
cana-4411	137	13	profile	profile	NOUN
cana-4411	137	14	against	against	ADP
cana-4411	137	15	t	t	PROPN
cana-4411	137	16	figure	figure	NOUN
cana-4411	137	17	14	14	NUM
cana-4411	137	18	the	the	DET
cana-4411	137	19	concentration	concentration	NOUN
cana-4411	137	20	profile	profile	NOUN
cana-4411	137	21	against	against	ADP
cana-4411	137	22	sc	sc	PROPN
cana-4411	137	23	figure	figure	NOUN
cana-4411	137	24	12	12	NUM
cana-4411	137	25	that	that	SCONJ
cana-4411	137	26	the	the	PRON
cana-4411	137	27	increasing	increase	VERB
cana-4411	137	28	the	the	DET
cana-4411	137	29	concentration	concentration	NOUN
cana-4411	137	30	of	of	ADP
cana-4411	137	31	chemical	chemical	ADJ
cana-4411	137	32	reaction	reaction	NOUN
cana-4411	137	33	(	(	PUNCT
cana-4411	137	34	kc	kc	PROPN
cana-4411	137	35	)	)	PUNCT
cana-4411	137	36	can	can	AUX
cana-4411	137	37	also	also	ADV
cana-4411	137	38	increase	increase	VERB
cana-4411	137	39	the	the	DET
cana-4411	137	40	probability	probability	NOUN
cana-4411	137	41	that	that	SCONJ
cana-4411	137	42	the	the	DET
cana-4411	137	43	molecules	molecule	NOUN
cana-4411	137	44	will	will	AUX
cana-4411	137	45	collide	collide	VERB
cana-4411	137	46	with	with	ADP
cana-4411	137	47	enough	enough	ADJ
cana-4411	137	48	energy	energy	NOUN
cana-4411	137	49	to	to	PART
cana-4411	137	50	overcome	overcome	VERB
cana-4411	137	51	the	the	DET
cana-4411	137	52	activation	activation	NOUN
cana-4411	137	53	energy	energy	NOUN
cana-4411	137	54	barrier	barrier	NOUN
cana-4411	137	55	for	for	ADP
cana-4411	137	56	the	the	DET
cana-4411	137	57	reaction	reaction	NOUN
cana-4411	137	58	(	(	PUNCT
cana-4411	137	59	kc	kc	PROPN
cana-4411	137	60	)	)	PUNCT
cana-4411	137	61	.	.	PUNCT
cana-4411	138	1	this	this	PRON
cana-4411	138	2	is	be	AUX
cana-4411	138	3	because	because	SCONJ
cana-4411	138	4	at	at	ADP
cana-4411	138	5	higher	high	ADJ
cana-4411	138	6	concentrations	concentration	NOUN
cana-4411	138	7	,	,	PUNCT
cana-4411	138	8	the	the	DET
cana-4411	138	9	average	average	ADJ
cana-4411	138	10	distance	distance	NOUN
cana-4411	138	11	between	between	ADP
cana-4411	138	12	molecules	molecule	NOUN
cana-4411	138	13	is	be	AUX
cana-4411	138	14	smaller	small	ADJ
cana-4411	138	15	,	,	PUNCT
cana-4411	138	16	which	which	PRON
cana-4411	138	17	means	mean	VERB
cana-4411	138	18	they	they	PRON
cana-4411	138	19	are	be	AUX
cana-4411	138	20	more	more	ADV
cana-4411	138	21	likely	likely	ADJ
cana-4411	138	22	to	to	PART
cana-4411	138	23	collide	collide	VERB
cana-4411	138	24	with	with	ADP
cana-4411	138	25	sufficient	sufficient	ADJ
cana-4411	138	26	force	force	NOUN
cana-4411	138	27	to	to	PART
cana-4411	138	28	initiate	initiate	VERB
cana-4411	138	29	a	a	DET
cana-4411	138	30	reaction	reaction	NOUN
cana-4411	138	31	(	(	PUNCT
cana-4411	138	32	kc	kc	PROPN
cana-4411	138	33	)	)	PUNCT
cana-4411	138	34	.	.	PUNCT
cana-4411	139	1	hence	hence	ADV
cana-4411	139	2	,	,	PUNCT
cana-4411	139	3	increasing	increase	VERB
cana-4411	139	4	the	the	DET
cana-4411	139	5	concentration	concentration	NOUN
cana-4411	139	6	of	of	ADP
cana-4411	139	7	reactant	reactant	NOUN
cana-4411	139	8	molecules	molecule	NOUN
cana-4411	139	9	can	can	AUX
cana-4411	139	10	lead	lead	VERB
cana-4411	139	11	to	to	ADP
cana-4411	139	12	an	an	DET
cana-4411	139	13	increase	increase	NOUN
cana-4411	139	14	in	in	ADP
cana-4411	139	15	the	the	DET
cana-4411	139	16	rate	rate	NOUN
cana-4411	139	17	of	of	ADP
cana-4411	139	18	a	a	DET
cana-4411	139	19	chemical	chemical	NOUN
cana-4411	139	20	reaction	reaction	NOUN
cana-4411	139	21	(	(	PUNCT
cana-4411	139	22	kc	kc	PROPN
cana-4411	139	23	)	)	PUNCT
cana-4411	139	24	,	,	PUNCT
cana-4411	139	25	as	as	SCONJ
cana-4411	139	26	more	more	ADJ
cana-4411	139	27	collisions	collision	NOUN
cana-4411	139	28	occur	occur	VERB
cana-4411	139	29	and	and	CCONJ
cana-4411	139	30	more	more	ADJ
cana-4411	139	31	molecules	molecule	NOUN
cana-4411	139	32	overcome	overcome	VERB
cana-4411	139	33	the	the	DET
cana-4411	139	34	activation	activation	NOUN
cana-4411	139	35	energy	energy	NOUN
cana-4411	139	36	barrier	barrier	NOUN
cana-4411	139	37	.	.	PUNCT
cana-4411	140	1	in	in	ADP
cana-4411	140	2	a	a	DET
cana-4411	140	3	concentration	concentration	NOUN
cana-4411	140	4	profile	profile	NOUN
cana-4411	140	5	,	,	PUNCT
cana-4411	140	6	figure	figure	VERB
cana-4411	140	7	13	13	NUM
cana-4411	140	8	that	that	SCONJ
cana-4411	140	9	the	the	DET
cana-4411	140	10	dimensionless	dimensionless	NOUN
cana-4411	140	11	time	time	NOUN
cana-4411	140	12	(	(	PUNCT
cana-4411	140	13	t	t	NOUN
cana-4411	140	14	)	)	PUNCT
cana-4411	140	15	typically	typically	ADV
cana-4411	140	16	represents	represent	VERB
cana-4411	140	17	the	the	DET
cana-4411	140	18	time	time	NOUN
cana-4411	140	19	elapsed	elapse	VERB
cana-4411	140	20	since	since	SCONJ
cana-4411	140	21	the	the	DET
cana-4411	140	22	start	start	NOUN
cana-4411	140	23	of	of	ADP
cana-4411	140	24	a	a	DET
cana-4411	140	25	process	process	NOUN
cana-4411	140	26	,	,	PUNCT
cana-4411	140	27	divided	divide	VERB
cana-4411	140	28	by	by	ADP
cana-4411	140	29	some	some	DET
cana-4411	140	30	characteristic	characteristic	ADJ
cana-4411	140	31	time	time	NOUN
cana-4411	140	32	scale	scale	NOUN
cana-4411	140	33	.	.	PUNCT
cana-4411	141	1	as	as	SCONJ
cana-4411	141	2	the	the	DET
cana-4411	141	3	process	process	NOUN
cana-4411	141	4	communications	communication	NOUN
cana-4411	141	5	on	on	ADP
cana-4411	141	6	applied	apply	VERB
cana-4411	141	7	nonlinear	nonlinear	ADJ
cana-4411	141	8	analysis	analysis	NOUN
cana-4411	141	9	issn	issn	NOUN
cana-4411	141	10	:	:	PUNCT
cana-4411	141	11	1074	1074	NUM
cana-4411	141	12	-	-	PUNCT
cana-4411	141	13	133x	133x	NUM
cana-4411	141	14	vol	vol	NOUN
cana-4411	141	15	31	31	NUM
cana-4411	141	16	no	no	NOUN
cana-4411	141	17	.	.	PUNCT
cana-4411	142	1	8s	8s	PROPN
cana-4411	142	2	(	(	PUNCT
cana-4411	142	3	2024	2024	NUM
cana-4411	142	4	)	)	PUNCT
cana-4411	142	5	807	807	NUM
cana-4411	142	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	142	7	progresses	progress	NOUN
cana-4411	142	8	,	,	PUNCT
cana-4411	142	9	more	more	ADJ
cana-4411	142	10	time	time	NOUN
cana-4411	142	11	elapses	elapse	NOUN
cana-4411	142	12	and	and	CCONJ
cana-4411	142	13	the	the	DET
cana-4411	142	14	value	value	NOUN
cana-4411	142	15	of	of	ADP
cana-4411	142	16	(	(	PUNCT
cana-4411	142	17	t	t	NOUN
cana-4411	142	18	)	)	PUNCT
cana-4411	142	19	increases	increase	NOUN
cana-4411	142	20	.	.	PUNCT
cana-4411	143	1	as	as	SCONJ
cana-4411	143	2	the	the	DET
cana-4411	143	3	process	process	NOUN
cana-4411	143	4	progresses	progress	VERB
cana-4411	143	5	,	,	PUNCT
cana-4411	143	6	the	the	DET
cana-4411	143	7	concentration	concentration	NOUN
cana-4411	143	8	of	of	ADP
cana-4411	143	9	the	the	DET
cana-4411	143	10	substance	substance	NOUN
cana-4411	143	11	changes	change	NOUN
cana-4411	143	12	and	and	CCONJ
cana-4411	143	13	the	the	DET
cana-4411	143	14	profile	profile	NOUN
cana-4411	143	15	evolves	evolve	VERB
cana-4411	143	16	.	.	PUNCT
cana-4411	144	1	the	the	DET
cana-4411	144	2	evolution	evolution	NOUN
cana-4411	144	3	of	of	ADP
cana-4411	144	4	the	the	DET
cana-4411	144	5	profile	profile	NOUN
cana-4411	144	6	can	can	AUX
cana-4411	144	7	be	be	AUX
cana-4411	144	8	described	describe	VERB
cana-4411	144	9	by	by	ADP
cana-4411	144	10	the	the	DET
cana-4411	144	11	equations	equation	NOUN
cana-4411	144	12	in	in	ADP
cana-4411	144	13	terms	term	NOUN
cana-4411	144	14	of	of	ADP
cana-4411	144	15	the	the	DET
cana-4411	144	16	dimensionless	dimensionless	NOUN
cana-4411	144	17	time	time	NOUN
cana-4411	144	18	(	(	PUNCT
cana-4411	144	19	t	t	NOUN
cana-4411	144	20	)	)	PUNCT
cana-4411	144	21	.	.	PUNCT
cana-4411	145	1	as	as	ADP
cana-4411	145	2	dimensionless	dimensionless	ADJ
cana-4411	145	3	time	time	NOUN
cana-4411	145	4	(	(	PUNCT
cana-4411	145	5	t	t	NOUN
cana-4411	145	6	)	)	PUNCT
cana-4411	145	7	increases	increase	NOUN
cana-4411	145	8	,	,	PUNCT
cana-4411	145	9	the	the	DET
cana-4411	145	10	concentration	concentration	NOUN
cana-4411	145	11	profile	profile	NOUN
cana-4411	145	12	changes	change	NOUN
cana-4411	145	13	and	and	CCONJ
cana-4411	145	14	the	the	DET
cana-4411	145	15	concentration	concentration	NOUN
cana-4411	145	16	gradients	gradient	NOUN
cana-4411	145	17	become	become	VERB
cana-4411	145	18	steeper	steep	ADJ
cana-4411	145	19	.	.	PUNCT
cana-4411	146	1	this	this	PRON
cana-4411	146	2	is	be	AUX
cana-4411	146	3	because	because	SCONJ
cana-4411	146	4	more	more	ADJ
cana-4411	146	5	time	time	NOUN
cana-4411	146	6	has	have	AUX
cana-4411	146	7	elapsed	elapse	VERB
cana-4411	146	8	,	,	PUNCT
cana-4411	146	9	allowing	allow	VERB
cana-4411	146	10	the	the	DET
cana-4411	146	11	substance	substance	NOUN
cana-4411	146	12	to	to	PART
cana-4411	146	13	diffuse	diffuse	VERB
cana-4411	146	14	or	or	CCONJ
cana-4411	146	15	react	react	VERB
cana-4411	146	16	further	far	ADV
cana-4411	146	17	.	.	PUNCT
cana-4411	147	1	the	the	DET
cana-4411	147	2	dimensionless	dimensionless	ADJ
cana-4411	147	3	time	time	NOUN
cana-4411	147	4	(	(	PUNCT
cana-4411	147	5	t	t	NOUN
cana-4411	147	6	)	)	PUNCT
cana-4411	147	7	increases	increase	NOUN
cana-4411	147	8	in	in	ADP
cana-4411	147	9	a	a	DET
cana-4411	147	10	concentration	concentration	NOUN
cana-4411	147	11	profile	profile	NOUN
cana-4411	147	12	because	because	SCONJ
cana-4411	147	13	it	it	PRON
cana-4411	147	14	represents	represent	VERB
cana-4411	147	15	the	the	DET
cana-4411	147	16	time	time	NOUN
cana-4411	147	17	elapsed	elapse	VERB
cana-4411	147	18	since	since	SCONJ
cana-4411	147	19	the	the	DET
cana-4411	147	20	start	start	NOUN
cana-4411	147	21	of	of	ADP
cana-4411	147	22	a	a	DET
cana-4411	147	23	process	process	NOUN
cana-4411	147	24	,	,	PUNCT
cana-4411	147	25	and	and	CCONJ
cana-4411	147	26	as	as	SCONJ
cana-4411	147	27	the	the	DET
cana-4411	147	28	process	process	NOUN
cana-4411	147	29	progresses	progress	VERB
cana-4411	147	30	,	,	PUNCT
cana-4411	147	31	more	more	ADJ
cana-4411	147	32	time	time	NOUN
cana-4411	147	33	elapses	elapse	NOUN
cana-4411	147	34	and	and	CCONJ
cana-4411	147	35	the	the	DET
cana-4411	147	36	value	value	NOUN
cana-4411	147	37	of	of	ADP
cana-4411	147	38	(	(	PUNCT
cana-4411	147	39	t	t	NOUN
cana-4411	147	40	)	)	PUNCT
cana-4411	147	41	increases	increase	NOUN
cana-4411	147	42	.	.	PUNCT
cana-4411	148	1	figure	figure	VERB
cana-4411	148	2	14	14	NUM
cana-4411	148	3	that	that	SCONJ
cana-4411	148	4	the	the	DET
cana-4411	148	5	schmidt	schmidt	ADJ
cana-4411	148	6	number	number	NOUN
cana-4411	148	7	(	(	PUNCT
cana-4411	148	8	sc	sc	PROPN
cana-4411	148	9	)	)	PUNCT
cana-4411	148	10	is	be	AUX
cana-4411	148	11	a	a	DET
cana-4411	148	12	dimensionless	dimensionless	NOUN
cana-4411	148	13	quantity	quantity	NOUN
cana-4411	148	14	that	that	PRON
cana-4411	148	15	describes	describe	VERB
cana-4411	148	16	the	the	DET
cana-4411	148	17	ratio	ratio	NOUN
cana-4411	148	18	of	of	ADP
cana-4411	148	19	momentum	momentum	NOUN
cana-4411	148	20	diffusivity	diffusivity	NOUN
cana-4411	148	21	(	(	PUNCT
cana-4411	148	22	kinematic	kinematic	ADJ
cana-4411	148	23	viscosity	viscosity	NOUN
cana-4411	148	24	)	)	PUNCT
cana-4411	148	25	to	to	PART
cana-4411	148	26	mass	mass	VERB
cana-4411	148	27	diffusivity	diffusivity	NOUN
cana-4411	148	28	in	in	ADP
cana-4411	148	29	a	a	DET
cana-4411	148	30	fluid	fluid	NOUN
cana-4411	148	31	.	.	PUNCT
cana-4411	149	1	when	when	SCONJ
cana-4411	149	2	the	the	DET
cana-4411	149	3	concentration	concentration	NOUN
cana-4411	149	4	profile	profile	NOUN
cana-4411	149	5	of	of	ADP
cana-4411	149	6	a	a	DET
cana-4411	149	7	fluid	fluid	ADJ
cana-4411	149	8	rises	rise	NOUN
cana-4411	149	9	,	,	PUNCT
cana-4411	149	10	it	it	PRON
cana-4411	149	11	means	mean	VERB
cana-4411	149	12	that	that	SCONJ
cana-4411	149	13	there	there	PRON
cana-4411	149	14	is	be	VERB
cana-4411	149	15	a	a	DET
cana-4411	149	16	larger	large	ADJ
cana-4411	149	17	concentration	concentration	NOUN
cana-4411	149	18	gradient	gradient	NOUN
cana-4411	149	19	in	in	ADP
cana-4411	149	20	the	the	DET
cana-4411	149	21	fluid	fluid	NOUN
cana-4411	149	22	.	.	PUNCT
cana-4411	150	1	this	this	DET
cana-4411	150	2	larger	large	ADJ
cana-4411	150	3	concentration	concentration	NOUN
cana-4411	150	4	gradient	gradient	NOUN
cana-4411	150	5	causes	cause	VERB
cana-4411	150	6	a	a	DET
cana-4411	150	7	higher	high	ADJ
cana-4411	150	8	rate	rate	NOUN
cana-4411	150	9	of	of	ADP
cana-4411	150	10	mass	mass	ADJ
cana-4411	150	11	transfer	transfer	NOUN
cana-4411	150	12	(	(	PUNCT
cana-4411	150	13	diffusion	diffusion	NOUN
cana-4411	150	14	)	)	PUNCT
cana-4411	150	15	in	in	ADP
cana-4411	150	16	the	the	DET
cana-4411	150	17	fluid	fluid	NOUN
cana-4411	150	18	,	,	PUNCT
cana-4411	150	19	which	which	PRON
cana-4411	150	20	in	in	ADP
cana-4411	150	21	turn	turn	NOUN
cana-4411	150	22	rises	rise	VERB
cana-4411	150	23	the	the	DET
cana-4411	150	24	value	value	NOUN
cana-4411	150	25	of	of	ADP
cana-4411	150	26	mass	mass	ADJ
cana-4411	150	27	diffusivity	diffusivity	NOUN
cana-4411	150	28	.	.	PUNCT
cana-4411	151	1	hence	hence	ADV
cana-4411	151	2	,	,	PUNCT
cana-4411	151	3	the	the	DET
cana-4411	151	4	kinematic	kinematic	ADJ
cana-4411	151	5	viscosity	viscosity	NOUN
cana-4411	151	6	of	of	ADP
cana-4411	151	7	the	the	DET
cana-4411	151	8	fluid	fluid	NOUN
cana-4411	151	9	does	do	AUX
cana-4411	151	10	not	not	PART
cana-4411	151	11	change	change	VERB
cana-4411	151	12	with	with	ADP
cana-4411	151	13	the	the	DET
cana-4411	151	14	concentration	concentration	NOUN
cana-4411	151	15	profile	profile	NOUN
cana-4411	151	16	.	.	PUNCT
cana-4411	152	1	therefore	therefore	ADV
cana-4411	152	2	,	,	PUNCT
cana-4411	152	3	as	as	ADP
cana-4411	152	4	the	the	DET
cana-4411	152	5	value	value	NOUN
cana-4411	152	6	of	of	ADP
cana-4411	152	7	mass	mass	ADJ
cana-4411	152	8	diffusivity	diffusivity	NOUN
cana-4411	152	9	increases	increase	NOUN
cana-4411	152	10	,	,	PUNCT
cana-4411	152	11	the	the	DET
cana-4411	152	12	schmidt	schmidt	ADJ
cana-4411	152	13	number	number	NOUN
cana-4411	152	14	augments	augment	VERB
cana-4411	152	15	(	(	PUNCT
cana-4411	152	16	sc	sc	PROPN
cana-4411	152	17	)	)	PUNCT
cana-4411	152	18	.	.	PUNCT
cana-4411	153	1	micro	micro	PROPN
cana-4411	153	2	rotation	rotation	PROPN
cana-4411	153	3	figure	figure	NOUN
cana-4411	153	4	15	15	NUM
cana-4411	153	5	the	the	DET
cana-4411	153	6	micro	micro	ADJ
cana-4411	153	7	rotation	rotation	PROPN
cana-4411	153	8	profile	profile	NOUN
cana-4411	153	9	against	against	ADP
cana-4411	153	10	t	t	PROPN
cana-4411	153	11	figure	figure	NOUN
cana-4411	153	12	15	15	NUM
cana-4411	153	13	that	that	SCONJ
cana-4411	153	14	the	the	DET
cana-4411	153	15	dimensionless	dimensionless	NOUN
cana-4411	153	16	time	time	NOUN
cana-4411	153	17	(	(	PUNCT
cana-4411	153	18	t	t	NOUN
cana-4411	153	19	)	)	PUNCT
cana-4411	153	20	in	in	ADP
cana-4411	153	21	the	the	DET
cana-4411	153	22	profile	profile	NOUN
cana-4411	153	23	micro	micro	PROPN
cana-4411	153	24	rotation	rotation	PROPN
cana-4411	153	25	typically	typically	ADV
cana-4411	153	26	refers	refer	VERB
cana-4411	153	27	to	to	ADP
cana-4411	153	28	the	the	DET
cana-4411	153	29	nondimensional	nondimensional	ADJ
cana-4411	153	30	time	time	NOUN
cana-4411	153	31	scale	scale	NOUN
cana-4411	153	32	used	use	VERB
cana-4411	153	33	to	to	PART
cana-4411	153	34	describe	describe	VERB
cana-4411	153	35	the	the	DET
cana-4411	153	36	fluid	fluid	ADJ
cana-4411	153	37	motion	motion	NOUN
cana-4411	153	38	.	.	PUNCT
cana-4411	154	1	the	the	DET
cana-4411	154	2	exact	exact	ADJ
cana-4411	154	3	relationship	relationship	NOUN
cana-4411	154	4	between	between	ADP
cana-4411	154	5	dimensionless	dimensionless	NOUN
cana-4411	154	6	time	time	NOUN
cana-4411	154	7	(	(	PUNCT
cana-4411	154	8	t	t	NOUN
cana-4411	154	9	)	)	PUNCT
cana-4411	154	10	and	and	CCONJ
cana-4411	154	11	the	the	DET
cana-4411	154	12	micro	micro	ADJ
cana-4411	154	13	-	-	ADJ
cana-4411	154	14	rotation	rotation	ADJ
cana-4411	154	15	rate	rate	NOUN
cana-4411	154	16	will	will	AUX
cana-4411	154	17	depend	depend	VERB
cana-4411	154	18	on	on	ADP
cana-4411	154	19	the	the	DET
cana-4411	154	20	specific	specific	ADJ
cana-4411	154	21	details	detail	NOUN
cana-4411	154	22	of	of	ADP
cana-4411	154	23	the	the	DET
cana-4411	154	24	flow	flow	NOUN
cana-4411	154	25	being	be	AUX
cana-4411	154	26	studied	study	VERB
cana-4411	154	27	,	,	PUNCT
cana-4411	154	28	but	but	CCONJ
cana-4411	154	29	in	in	ADP
cana-4411	154	30	general	general	ADJ
cana-4411	154	31	,	,	PUNCT
cana-4411	154	32	as	as	SCONJ
cana-4411	154	33	the	the	DET
cana-4411	154	34	fluid	fluid	ADJ
cana-4411	154	35	motion	motion	NOUN
cana-4411	154	36	becomes	become	VERB
cana-4411	154	37	more	more	ADV
cana-4411	154	38	chaotic	chaotic	ADJ
cana-4411	154	39	or	or	CCONJ
cana-4411	154	40	turbulent	turbulent	ADJ
cana-4411	154	41	,	,	PUNCT
cana-4411	154	42	the	the	DET
cana-4411	154	43	microrotation	microrotation	NOUN
cana-4411	154	44	rate	rate	NOUN
cana-4411	154	45	tends	tend	VERB
cana-4411	154	46	to	to	PART
cana-4411	154	47	decrease	decrease	VERB
cana-4411	154	48	with	with	ADP
cana-4411	154	49	time	time	NOUN
cana-4411	154	50	.	.	PUNCT
cana-4411	155	1	this	this	PRON
cana-4411	155	2	is	be	AUX
cana-4411	155	3	because	because	SCONJ
cana-4411	155	4	turbulent	turbulent	ADJ
cana-4411	155	5	flows	flow	NOUN
cana-4411	155	6	tend	tend	VERB
cana-4411	155	7	to	to	PART
cana-4411	155	8	mix	mix	VERB
cana-4411	155	9	the	the	DET
cana-4411	155	10	fluid	fluid	NOUN
cana-4411	155	11	more	more	ADV
cana-4411	155	12	effectively	effectively	ADV
cana-4411	155	13	,	,	PUNCT
cana-4411	155	14	reducing	reduce	VERB
cana-4411	155	15	the	the	DET
cana-4411	155	16	local	local	ADJ
cana-4411	155	17	velocity	velocity	NOUN
cana-4411	155	18	gradients	gradient	NOUN
cana-4411	155	19	that	that	PRON
cana-4411	155	20	drive	drive	VERB
cana-4411	155	21	micro	micro	NOUN
cana-4411	155	22	-	-	NOUN
cana-4411	155	23	rotation	rotation	NOUN
cana-4411	155	24	.	.	PUNCT
cana-4411	156	1	skin	skin	NOUN
cana-4411	156	2	friction	friction	NOUN
cana-4411	156	3	(	(	PUNCT
cana-4411	156	4	)	)	PUNCT
cana-4411	156	5	figure	figure	NOUN
cana-4411	156	6	16	16	NUM
cana-4411	156	7	the	the	DET
cana-4411	156	8	skin	skin	NOUN
cana-4411	156	9	friction	friction	NOUN
cana-4411	156	10	profile	profile	NOUN
cana-4411	156	11	against	against	ADP
cana-4411	156	12	m(z=0	m(z=0	PROPN
cana-4411	156	13	)	)	PUNCT
cana-4411	156	14	figure	figure	NOUN
cana-4411	156	15	17	17	NUM
cana-4411	156	16	the	the	DET
cana-4411	156	17	skin	skin	NOUN
cana-4411	156	18	friction	friction	NOUN
cana-4411	156	19	against	against	ADP
cana-4411	156	20	m(z	m(z	PROPN
cana-4411	156	21	=	=	SYM
cana-4411	156	22	h	h	NOUN
cana-4411	156	23	)	)	PUNCT
cana-4411	156	24	communications	communication	NOUN
cana-4411	156	25	on	on	ADP
cana-4411	156	26	applied	apply	VERB
cana-4411	156	27	nonlinear	nonlinear	ADJ
cana-4411	156	28	analysis	analysis	NOUN
cana-4411	156	29	issn	issn	NOUN
cana-4411	156	30	:	:	PUNCT
cana-4411	156	31	1074	1074	NUM
cana-4411	156	32	-	-	PUNCT
cana-4411	156	33	133x	133x	NUM
cana-4411	156	34	vol	vol	NOUN
cana-4411	156	35	31	31	NUM
cana-4411	156	36	no	no	NOUN
cana-4411	156	37	.	.	PUNCT
cana-4411	157	1	8s	8s	PROPN
cana-4411	157	2	(	(	PUNCT
cana-4411	157	3	2024	2024	NUM
cana-4411	157	4	)	)	PUNCT
cana-4411	157	5	808	808	NUM
cana-4411	157	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	157	7	in	in	ADP
cana-4411	157	8	the	the	DET
cana-4411	157	9	context	context	NOUN
cana-4411	157	10	of	of	ADP
cana-4411	157	11	skin	skin	NOUN
cana-4411	157	12	friction	friction	NOUN
cana-4411	157	13	(	(	PUNCT
cana-4411	157	14	)	)	PUNCT
cana-4411	157	15	,	,	PUNCT
cana-4411	157	16	figure	figure	VERB
cana-4411	157	17	16	16	NUM
cana-4411	157	18	that	that	SCONJ
cana-4411	157	19	the	the	DET
cana-4411	157	20	hartmann	hartmann	PROPN
cana-4411	157	21	number	number	NOUN
cana-4411	157	22	(	(	PUNCT
cana-4411	157	23	m	m	NOUN
cana-4411	157	24	)	)	PUNCT
cana-4411	157	25	is	be	AUX
cana-4411	157	26	related	relate	VERB
cana-4411	157	27	to	to	ADP
cana-4411	157	28	the	the	DET
cana-4411	157	29	reduction	reduction	NOUN
cana-4411	157	30	of	of	ADP
cana-4411	157	31	skin	skin	NOUN
cana-4411	157	32	friction	friction	NOUN
cana-4411	157	33	(	(	PUNCT
cana-4411	157	34	)	)	PUNCT
cana-4411	157	35	in	in	ADP
cana-4411	157	36	the	the	DET
cana-4411	157	37	presence	presence	NOUN
cana-4411	157	38	of	of	ADP
cana-4411	157	39	a	a	DET
cana-4411	157	40	magnetic	magnetic	ADJ
cana-4411	157	41	field	field	NOUN
cana-4411	157	42	.	.	PUNCT
cana-4411	158	1	at	at	ADP
cana-4411	158	2	,	,	PUNCT
cana-4411	158	3	the	the	DET
cana-4411	158	4	hartmann	hartmann	PROPN
cana-4411	158	5	number	number	NOUN
cana-4411	158	6	(	(	PUNCT
cana-4411	158	7	m	m	NOUN
cana-4411	158	8	)	)	PUNCT
cana-4411	158	9	decreases	decrease	NOUN
cana-4411	158	10	because	because	SCONJ
cana-4411	158	11	the	the	DET
cana-4411	158	12	magnetic	magnetic	ADJ
cana-4411	158	13	field	field	NOUN
cana-4411	158	14	is	be	AUX
cana-4411	158	15	presumed	presume	VERB
cana-4411	158	16	to	to	PART
cana-4411	158	17	be	be	AUX
cana-4411	158	18	inserted	insert	VERB
cana-4411	158	19	perpendicular	perpendicular	ADJ
cana-4411	158	20	to	to	ADP
cana-4411	158	21	the	the	DET
cana-4411	158	22	wall	wall	NOUN
cana-4411	158	23	,	,	PUNCT
cana-4411	158	24	which	which	PRON
cana-4411	158	25	means	mean	VERB
cana-4411	158	26	that	that	SCONJ
cana-4411	158	27	the	the	DET
cana-4411	158	28	magnetic	magnetic	ADJ
cana-4411	158	29	field	field	NOUN
cana-4411	158	30	strength	strength	NOUN
cana-4411	158	31	lessens	lessen	VERB
cana-4411	158	32	as	as	SCONJ
cana-4411	158	33	the	the	DET
cana-4411	158	34	distance	distance	NOUN
cana-4411	158	35	from	from	ADP
cana-4411	158	36	the	the	DET
cana-4411	158	37	wall	wall	NOUN
cana-4411	158	38	decreases	decrease	VERB
cana-4411	158	39	.	.	PUNCT
cana-4411	159	1	the	the	DET
cana-4411	159	2	reduction	reduction	NOUN
cana-4411	159	3	of	of	ADP
cana-4411	159	4	skin	skin	NOUN
cana-4411	159	5	friction	friction	NOUN
cana-4411	159	6	(	(	PUNCT
cana-4411	159	7	)	)	PUNCT
cana-4411	159	8	due	due	ADP
cana-4411	159	9	to	to	ADP
cana-4411	159	10	a	a	DET
cana-4411	159	11	magnetic	magnetic	ADJ
cana-4411	159	12	field	field	NOUN
cana-4411	159	13	depends	depend	VERB
cana-4411	159	14	on	on	ADP
cana-4411	159	15	the	the	DET
cana-4411	159	16	strength	strength	NOUN
cana-4411	159	17	and	and	CCONJ
cana-4411	159	18	orientation	orientation	NOUN
cana-4411	159	19	of	of	ADP
cana-4411	159	20	the	the	DET
cana-4411	159	21	magnetic	magnetic	ADJ
cana-4411	159	22	field	field	NOUN
cana-4411	159	23	,	,	PUNCT
cana-4411	159	24	the	the	DET
cana-4411	159	25	velocity	velocity	NOUN
cana-4411	159	26	of	of	ADP
cana-4411	159	27	the	the	DET
cana-4411	159	28	fluid	fluid	NOUN
cana-4411	159	29	,	,	PUNCT
cana-4411	159	30	and	and	CCONJ
cana-4411	159	31	the	the	DET
cana-4411	159	32	geometry	geometry	NOUN
cana-4411	159	33	of	of	ADP
cana-4411	159	34	the	the	DET
cana-4411	159	35	flow	flow	NOUN
cana-4411	159	36	.	.	PUNCT
cana-4411	160	1	therefore	therefore	ADV
cana-4411	160	2	,	,	PUNCT
cana-4411	160	3	the	the	DET
cana-4411	160	4	specific	specific	ADJ
cana-4411	160	5	behaviour	behaviour	NOUN
cana-4411	160	6	of	of	ADP
cana-4411	160	7	the	the	DET
cana-4411	160	8	hartmann	hartmann	PROPN
cana-4411	160	9	number	number	NOUN
cana-4411	160	10	(	(	PUNCT
cana-4411	160	11	m	m	NOUN
cana-4411	160	12	)	)	PUNCT
cana-4411	160	13	and	and	CCONJ
cana-4411	160	14	skin	skin	NOUN
cana-4411	160	15	friction	friction	NOUN
cana-4411	160	16	(	(	PUNCT
cana-4411	160	17	)	)	PUNCT
cana-4411	160	18	at	at	ADP
cana-4411	160	19	will	will	AUX
cana-4411	160	20	depend	depend	VERB
cana-4411	160	21	on	on	ADP
cana-4411	160	22	the	the	DET
cana-4411	160	23	details	detail	NOUN
cana-4411	160	24	of	of	ADP
cana-4411	160	25	the	the	DET
cana-4411	160	26	particular	particular	ADJ
cana-4411	160	27	flow	flow	NOUN
cana-4411	160	28	and	and	CCONJ
cana-4411	160	29	magnetic	magnetic	ADJ
cana-4411	160	30	field	field	NOUN
cana-4411	160	31	configuration	configuration	NOUN
cana-4411	160	32	.	.	PUNCT
cana-4411	161	1	figure	figure	NOUN
cana-4411	161	2	17	17	NUM
cana-4411	161	3	that	that	SCONJ
cana-4411	161	4	the	the	DET
cana-4411	161	5	hartmann	hartmann	PROPN
cana-4411	161	6	number	number	NOUN
cana-4411	161	7	(	(	PUNCT
cana-4411	161	8	ha	ha	INTJ
cana-4411	161	9	)	)	PUNCT
cana-4411	161	10	is	be	AUX
cana-4411	161	11	a	a	DET
cana-4411	161	12	dimensionless	dimensionless	NOUN
cana-4411	161	13	parameter	parameter	NOUN
cana-4411	161	14	that	that	PRON
cana-4411	161	15	characterizes	characterize	VERB
cana-4411	161	16	the	the	DET
cana-4411	161	17	strength	strength	NOUN
cana-4411	161	18	of	of	ADP
cana-4411	161	19	the	the	DET
cana-4411	161	20	magnetic	magnetic	ADJ
cana-4411	161	21	field	field	NOUN
cana-4411	161	22	in	in	ADP
cana-4411	161	23	a	a	DET
cana-4411	161	24	conducting	conduct	VERB
cana-4411	161	25	fluid	fluid	NOUN
cana-4411	161	26	or	or	CCONJ
cana-4411	161	27	plasma	plasma	NOUN
cana-4411	161	28	.	.	PUNCT
cana-4411	162	1	the	the	DET
cana-4411	162	2	effect	effect	NOUN
cana-4411	162	3	of	of	ADP
cana-4411	162	4	a	a	DET
cana-4411	162	5	magnetic	magnetic	ADJ
cana-4411	162	6	field	field	NOUN
cana-4411	162	7	on	on	ADP
cana-4411	162	8	the	the	DET
cana-4411	162	9	skin	skin	NOUN
cana-4411	162	10	friction	friction	NOUN
cana-4411	162	11	(	(	PUNCT
cana-4411	162	12	)	)	PUNCT
cana-4411	162	13	of	of	ADP
cana-4411	162	14	a	a	DET
cana-4411	162	15	fluid	fluid	NOUN
cana-4411	162	16	flowing	flow	VERB
cana-4411	162	17	through	through	ADP
cana-4411	162	18	a	a	DET
cana-4411	162	19	channel	channel	NOUN
cana-4411	162	20	.	.	PUNCT
cana-4411	163	1	at	at	ADP
cana-4411	163	2	z	z	PROPN
cana-4411	163	3	=	=	PROPN
cana-4411	163	4	h	h	NOUN
cana-4411	163	5	,	,	PUNCT
cana-4411	163	6	the	the	DET
cana-4411	163	7	skin	skin	NOUN
cana-4411	163	8	friction	friction	NOUN
cana-4411	163	9	(	(	PUNCT
cana-4411	163	10	)	)	PUNCT
cana-4411	163	11	coefficient	coefficient	NOUN
cana-4411	163	12	is	be	AUX
cana-4411	163	13	defined	define	VERB
cana-4411	163	14	as	as	ADP
cana-4411	163	15	the	the	DET
cana-4411	163	16	ratio	ratio	NOUN
cana-4411	163	17	of	of	ADP
cana-4411	163	18	the	the	DET
cana-4411	163	19	wall	wall	PROPN
cana-4411	163	20	shear	shear	PROPN
cana-4411	163	21	stress	stress	NOUN
cana-4411	163	22	to	to	ADP
cana-4411	163	23	the	the	DET
cana-4411	163	24	dynamic	dynamic	ADJ
cana-4411	163	25	pressure	pressure	NOUN
cana-4411	163	26	of	of	ADP
cana-4411	163	27	the	the	DET
cana-4411	163	28	fluid	fluid	NOUN
cana-4411	163	29	.	.	PUNCT
cana-4411	164	1	while	while	SCONJ
cana-4411	164	2	a	a	DET
cana-4411	164	3	magnetic	magnetic	ADJ
cana-4411	164	4	field	field	NOUN
cana-4411	164	5	is	be	AUX
cana-4411	164	6	inserted	insert	VERB
cana-4411	164	7	to	to	ADP
cana-4411	164	8	the	the	DET
cana-4411	164	9	fluid	fluid	ADJ
cana-4411	164	10	flow	flow	NOUN
cana-4411	164	11	,	,	PUNCT
cana-4411	164	12	it	it	PRON
cana-4411	164	13	can	can	AUX
cana-4411	164	14	modify	modify	VERB
cana-4411	164	15	the	the	DET
cana-4411	164	16	skin	skin	NOUN
cana-4411	164	17	friction	friction	NOUN
cana-4411	164	18	(	(	PUNCT
cana-4411	164	19	)	)	PUNCT
cana-4411	164	20	coefficient	coefficient	NOUN
cana-4411	164	21	by	by	ADP
cana-4411	164	22	inducing	induce	VERB
cana-4411	164	23	a	a	DET
cana-4411	164	24	magnetic	magnetic	ADJ
cana-4411	164	25	drag	drag	NOUN
cana-4411	164	26	force	force	NOUN
cana-4411	164	27	that	that	PRON
cana-4411	164	28	opposes	oppose	VERB
cana-4411	164	29	the	the	DET
cana-4411	164	30	motion	motion	NOUN
cana-4411	164	31	of	of	ADP
cana-4411	164	32	the	the	DET
cana-4411	164	33	fluid	fluid	NOUN
cana-4411	164	34	.	.	PUNCT
cana-4411	165	1	as	as	SCONJ
cana-4411	165	2	the	the	DET
cana-4411	165	3	hartmann	hartmann	PROPN
cana-4411	165	4	number	number	NOUN
cana-4411	165	5	(	(	PUNCT
cana-4411	165	6	m	m	NOUN
cana-4411	165	7	)	)	PUNCT
cana-4411	165	8	rises	rise	NOUN
cana-4411	165	9	,	,	PUNCT
cana-4411	165	10	the	the	DET
cana-4411	165	11	magnetic	magnetic	ADJ
cana-4411	165	12	field	field	NOUN
cana-4411	165	13	strength	strength	NOUN
cana-4411	165	14	increases	increase	NOUN
cana-4411	165	15	,	,	PUNCT
cana-4411	165	16	which	which	PRON
cana-4411	165	17	leads	lead	VERB
cana-4411	165	18	to	to	ADP
cana-4411	165	19	a	a	DET
cana-4411	165	20	stronger	strong	ADJ
cana-4411	165	21	magnetic	magnetic	ADJ
cana-4411	165	22	drag	drag	NOUN
cana-4411	165	23	force	force	NOUN
cana-4411	165	24	acting	act	VERB
cana-4411	165	25	on	on	ADP
cana-4411	165	26	the	the	DET
cana-4411	165	27	fluid	fluid	NOUN
cana-4411	165	28	.	.	PUNCT
cana-4411	166	1	this	this	DET
cana-4411	166	2	increased	increase	VERB
cana-4411	166	3	drag	drag	NOUN
cana-4411	166	4	force	force	NOUN
cana-4411	166	5	results	result	NOUN
cana-4411	166	6	in	in	ADP
cana-4411	166	7	a	a	DET
cana-4411	166	8	higher	high	ADJ
cana-4411	166	9	skin	skin	NOUN
cana-4411	166	10	friction	friction	NOUN
cana-4411	166	11	(	(	PUNCT
cana-4411	166	12	)	)	PUNCT
cana-4411	166	13	coefficient	coefficient	NOUN
cana-4411	166	14	at	at	ADP
cana-4411	166	15	the	the	DET
cana-4411	166	16	wall	wall	NOUN
cana-4411	166	17	,	,	PUNCT
cana-4411	166	18	which	which	PRON
cana-4411	166	19	is	be	AUX
cana-4411	166	20	observed	observe	VERB
cana-4411	166	21	at	at	ADP
cana-4411	166	22	z	z	PROPN
cana-4411	166	23	=	=	PROPN
cana-4411	166	24	h.	h.	PROPN
cana-4411	166	25	therefore	therefore	ADV
cana-4411	166	26	,	,	PUNCT
cana-4411	166	27	the	the	DET
cana-4411	166	28	skin	skin	NOUN
cana-4411	166	29	friction	friction	NOUN
cana-4411	166	30	(	(	PUNCT
cana-4411	166	31	)	)	PUNCT
cana-4411	166	32	increases	increase	NOUN
cana-4411	166	33	with	with	ADP
cana-4411	166	34	anrise	anrise	NOUN
cana-4411	166	35	in	in	ADP
cana-4411	166	36	the	the	DET
cana-4411	166	37	hartmann	hartmann	PROPN
cana-4411	166	38	number	number	NOUN
cana-4411	166	39	(	(	PUNCT
cana-4411	166	40	m	m	NOUN
cana-4411	166	41	)	)	PUNCT
cana-4411	166	42	at	at	ADP
cana-4411	166	43	z	z	PROPN
cana-4411	166	44	=	=	PROPN
cana-4411	166	45	h.	h.	PROPN
cana-4411	166	46	figure	figure	NOUN
cana-4411	166	47	18	18	NUM
cana-4411	166	48	the	the	DET
cana-4411	166	49	nusselt	nusselt	NOUN
cana-4411	166	50	number	number	NOUN
cana-4411	166	51	against	against	ADP
cana-4411	166	52	pr(z=0	pr(z=0	NOUN
cana-4411	166	53	)	)	PUNCT
cana-4411	166	54	figure	figure	NOUN
cana-4411	166	55	19	19	NUM
cana-4411	166	56	the	the	DET
cana-4411	166	57	nusselt	nusselt	NOUN
cana-4411	166	58	number	number	NOUN
cana-4411	166	59	against	against	ADP
cana-4411	166	60	pr(z	pr(z	NOUN
cana-4411	166	61	=	=	SYM
cana-4411	166	62	h	h	NOUN
cana-4411	166	63	)	)	PUNCT
cana-4411	166	64	figure	figure	NOUN
cana-4411	166	65	18	18	NUM
cana-4411	166	66	shows	show	VERB
cana-4411	166	67	that	that	SCONJ
cana-4411	166	68	in	in	ADP
cana-4411	166	69	the	the	DET
cana-4411	166	70	study	study	NOUN
cana-4411	166	71	of	of	ADP
cana-4411	166	72	heat	heat	NOUN
cana-4411	166	73	transmission	transmission	NOUN
cana-4411	166	74	,	,	PUNCT
cana-4411	166	75	the	the	DET
cana-4411	166	76	dimensionless	dimensionless	NOUN
cana-4411	166	77	quantities	quantity	NOUN
cana-4411	166	78	prandtl	prandtl	NOUN
cana-4411	166	79	and	and	CCONJ
cana-4411	166	80	nusselt	nusselt	NOUN
cana-4411	166	81	are	be	AUX
cana-4411	166	82	both	both	PRON
cana-4411	166	83	utilised	utilise	VERB
cana-4411	166	84	.	.	PUNCT
cana-4411	167	1	at	at	ADP
cana-4411	167	2	,	,	PUNCT
cana-4411	167	3	which	which	PRON
cana-4411	167	4	usually	usually	ADV
cana-4411	167	5	refers	refer	VERB
cana-4411	167	6	to	to	ADP
cana-4411	167	7	the	the	DET
cana-4411	167	8	surface	surface	NOUN
cana-4411	167	9	of	of	ADP
cana-4411	167	10	a	a	DET
cana-4411	167	11	solid	solid	ADJ
cana-4411	167	12	object	object	NOUN
cana-4411	167	13	,	,	PUNCT
cana-4411	167	14	the	the	DET
cana-4411	167	15	fluid	fluid	NOUN
cana-4411	167	16	in	in	ADP
cana-4411	167	17	contact	contact	NOUN
cana-4411	167	18	with	with	ADP
cana-4411	167	19	the	the	DET
cana-4411	167	20	surface	surface	NOUN
cana-4411	167	21	experiences	experience	NOUN
cana-4411	167	22	a	a	DET
cana-4411	167	23	sudden	sudden	ADJ
cana-4411	167	24	change	change	NOUN
cana-4411	167	25	in	in	ADP
cana-4411	167	26	velocity	velocity	NOUN
cana-4411	167	27	and	and	CCONJ
cana-4411	167	28	temperature	temperature	NOUN
cana-4411	167	29	,	,	PUNCT
cana-4411	167	30	which	which	PRON
cana-4411	167	31	leads	lead	VERB
cana-4411	167	32	to	to	ADP
cana-4411	167	33	a	a	DET
cana-4411	167	34	boundary	boundary	ADJ
cana-4411	167	35	layer	layer	NOUN
cana-4411	167	36	formation	formation	NOUN
cana-4411	167	37	.	.	PUNCT
cana-4411	168	1	the	the	DET
cana-4411	168	2	boundary	boundary	ADJ
cana-4411	168	3	layer	layer	NOUN
cana-4411	168	4	is	be	AUX
cana-4411	168	5	a	a	DET
cana-4411	168	6	thin	thin	ADJ
cana-4411	168	7	layer	layer	NOUN
cana-4411	168	8	of	of	ADP
cana-4411	168	9	fluid	fluid	NOUN
cana-4411	168	10	in	in	ADP
cana-4411	168	11	contact	contact	NOUN
cana-4411	168	12	with	with	ADP
cana-4411	168	13	the	the	DET
cana-4411	168	14	solid	solid	ADJ
cana-4411	168	15	surface	surface	NOUN
cana-4411	168	16	,	,	PUNCT
cana-4411	168	17	where	where	SCONJ
cana-4411	168	18	the	the	DET
cana-4411	168	19	velocity	velocity	NOUN
cana-4411	168	20	and	and	CCONJ
cana-4411	168	21	temperature	temperature	NOUN
cana-4411	168	22	gradients	gradient	NOUN
cana-4411	168	23	are	be	AUX
cana-4411	168	24	significant	significant	ADJ
cana-4411	168	25	.	.	PUNCT
cana-4411	169	1	the	the	DET
cana-4411	169	2	nusselt	nusselt	NOUN
cana-4411	169	3	number	number	NOUN
cana-4411	169	4	(	(	PUNCT
cana-4411	169	5	nu	nu	NOUN
cana-4411	169	6	)	)	PUNCT
cana-4411	169	7	is	be	AUX
cana-4411	169	8	related	relate	VERB
cana-4411	169	9	to	to	ADP
cana-4411	169	10	the	the	DET
cana-4411	169	11	rate	rate	NOUN
cana-4411	169	12	of	of	ADP
cana-4411	169	13	heat	heat	NOUN
cana-4411	169	14	transfer	transfer	NOUN
cana-4411	169	15	from	from	ADP
cana-4411	169	16	the	the	DET
cana-4411	169	17	surface	surface	NOUN
cana-4411	169	18	to	to	ADP
cana-4411	169	19	the	the	DET
cana-4411	169	20	fluid	fluid	NOUN
cana-4411	169	21	.	.	PUNCT
cana-4411	170	1	at	at	ADP
cana-4411	170	2	the	the	DET
cana-4411	170	3	surface	surface	NOUN
cana-4411	170	4	,	,	PUNCT
cana-4411	170	5	the	the	DET
cana-4411	170	6	velocity	velocity	NOUN
cana-4411	170	7	and	and	CCONJ
cana-4411	170	8	temperature	temperature	NOUN
cana-4411	170	9	gradients	gradient	NOUN
cana-4411	170	10	are	be	AUX
cana-4411	170	11	high	high	ADJ
cana-4411	170	12	,	,	PUNCT
cana-4411	170	13	leading	lead	VERB
cana-4411	170	14	to	to	ADP
cana-4411	170	15	a	a	DET
cana-4411	170	16	high	high	ADJ
cana-4411	170	17	heat	heat	NOUN
cana-4411	170	18	transfer	transfer	NOUN
cana-4411	170	19	rate	rate	NOUN
cana-4411	170	20	.	.	PUNCT
cana-4411	171	1	however	however	ADV
cana-4411	171	2	,	,	PUNCT
cana-4411	171	3	as	as	SCONJ
cana-4411	171	4	the	the	DET
cana-4411	171	5	fluid	fluid	NOUN
cana-4411	171	6	moves	move	VERB
cana-4411	171	7	away	away	ADV
cana-4411	171	8	from	from	ADP
cana-4411	171	9	the	the	DET
cana-4411	171	10	surface	surface	NOUN
cana-4411	171	11	,	,	PUNCT
cana-4411	171	12	the	the	DET
cana-4411	171	13	velocity	velocity	NOUN
cana-4411	171	14	and	and	CCONJ
cana-4411	171	15	temperature	temperature	NOUN
cana-4411	171	16	gradients	gradient	NOUN
cana-4411	171	17	decrease	decrease	NOUN
cana-4411	171	18	,	,	PUNCT
cana-4411	171	19	and	and	CCONJ
cana-4411	171	20	the	the	DET
cana-4411	171	21	heat	heat	NOUN
cana-4411	171	22	transfer	transfer	NOUN
cana-4411	171	23	rate	rate	NOUN
cana-4411	171	24	reduces	reduce	VERB
cana-4411	171	25	.	.	PUNCT
cana-4411	172	1	the	the	DET
cana-4411	172	2	thickness	thickness	NOUN
cana-4411	172	3	of	of	ADP
cana-4411	172	4	the	the	DET
cana-4411	172	5	boundary	boundary	ADJ
cana-4411	172	6	layer	layer	NOUN
cana-4411	172	7	is	be	AUX
cana-4411	172	8	affected	affect	VERB
cana-4411	172	9	by	by	ADP
cana-4411	172	10	the	the	DET
cana-4411	172	11	prandtl	prandtl	NOUN
cana-4411	172	12	number	number	NOUN
cana-4411	172	13	(	(	PUNCT
cana-4411	172	14	pr	pr	NOUN
cana-4411	172	15	)	)	PUNCT
cana-4411	172	16	.	.	PUNCT
cana-4411	173	1	a	a	DET
cana-4411	173	2	fluid	fluid	NOUN
cana-4411	173	3	with	with	ADP
cana-4411	173	4	a	a	DET
cana-4411	173	5	low	low	ADJ
cana-4411	173	6	prandtl	prandtl	NOUN
cana-4411	173	7	number	number	NOUN
cana-4411	173	8	(	(	PUNCT
cana-4411	173	9	pr	pr	NOUN
cana-4411	173	10	)	)	PUNCT
cana-4411	173	11	has	have	VERB
cana-4411	173	12	a	a	DET
cana-4411	173	13	thinner	thin	ADJ
cana-4411	173	14	boundary	boundary	ADJ
cana-4411	173	15	layer	layer	NOUN
cana-4411	173	16	than	than	ADP
cana-4411	173	17	a	a	DET
cana-4411	173	18	fluid	fluid	NOUN
cana-4411	173	19	with	with	ADP
cana-4411	173	20	a	a	DET
cana-4411	173	21	high	high	ADJ
cana-4411	173	22	prandtl	prandtl	NOUN
cana-4411	173	23	number	number	NOUN
cana-4411	173	24	(	(	PUNCT
cana-4411	173	25	pr	pr	NOUN
cana-4411	173	26	)	)	PUNCT
cana-4411	173	27	.	.	PUNCT
cana-4411	174	1	hence	hence	ADV
cana-4411	174	2	,	,	PUNCT
cana-4411	174	3	at	at	ADP
cana-4411	174	4	,	,	PUNCT
cana-4411	174	5	the	the	DET
cana-4411	174	6	prandtl	prandtl	NOUN
cana-4411	174	7	number	number	NOUN
cana-4411	174	8	(	(	PUNCT
cana-4411	174	9	pr	pr	NOUN
cana-4411	174	10	)	)	PUNCT
cana-4411	174	11	decreases	decrease	VERB
cana-4411	174	12	the	the	DET
cana-4411	174	13	nusselt	nusselt	NOUN
cana-4411	174	14	number	number	NOUN
cana-4411	174	15	(	(	PUNCT
cana-4411	174	16	nu	nu	NOUN
cana-4411	174	17	)	)	PUNCT
cana-4411	174	18	because	because	SCONJ
cana-4411	174	19	a	a	DET
cana-4411	174	20	fluid	fluid	NOUN
cana-4411	174	21	with	with	ADP
cana-4411	174	22	a	a	DET
cana-4411	174	23	communications	communication	NOUN
cana-4411	174	24	on	on	ADP
cana-4411	174	25	applied	apply	VERB
cana-4411	174	26	nonlinear	nonlinear	ADJ
cana-4411	174	27	analysis	analysis	NOUN
cana-4411	174	28	issn	issn	NOUN
cana-4411	174	29	:	:	PUNCT
cana-4411	174	30	1074	1074	NUM
cana-4411	174	31	-	-	PUNCT
cana-4411	174	32	133x	133x	NUM
cana-4411	174	33	vol	vol	NOUN
cana-4411	174	34	31	31	NUM
cana-4411	174	35	no	no	NOUN
cana-4411	174	36	.	.	PUNCT
cana-4411	175	1	8s	8s	PROPN
cana-4411	175	2	(	(	PUNCT
cana-4411	175	3	2024	2024	NUM
cana-4411	175	4	)	)	PUNCT
cana-4411	175	5	809	809	NUM
cana-4411	175	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	175	7	lower	low	ADJ
cana-4411	175	8	prandtl	prandtl	NOUN
cana-4411	175	9	number	number	NOUN
cana-4411	175	10	(	(	PUNCT
cana-4411	175	11	pr	pr	NOUN
cana-4411	175	12	)	)	PUNCT
cana-4411	175	13	has	have	VERB
cana-4411	175	14	a	a	DET
cana-4411	175	15	thinner	thin	ADJ
cana-4411	175	16	boundary	boundary	ADJ
cana-4411	175	17	layer	layer	NOUN
cana-4411	175	18	,	,	PUNCT
cana-4411	175	19	resulting	result	VERB
cana-4411	175	20	in	in	ADP
cana-4411	175	21	a	a	DET
cana-4411	175	22	higher	high	ADJ
cana-4411	175	23	velocity	velocity	NOUN
cana-4411	175	24	and	and	CCONJ
cana-4411	175	25	temperature	temperature	NOUN
cana-4411	175	26	gradients	gradient	NOUN
cana-4411	175	27	and	and	CCONJ
cana-4411	175	28	therefore	therefore	ADV
cana-4411	175	29	a	a	DET
cana-4411	175	30	higher	high	ADJ
cana-4411	175	31	heat	heat	NOUN
cana-4411	175	32	transfer	transfer	NOUN
cana-4411	175	33	rate	rate	NOUN
cana-4411	175	34	.	.	PUNCT
cana-4411	176	1	figure	figure	NOUN
cana-4411	176	2	19	19	NUM
cana-4411	176	3	that	that	SCONJ
cana-4411	176	4	the	the	DET
cana-4411	176	5	relationship	relationship	NOUN
cana-4411	176	6	between	between	ADP
cana-4411	176	7	the	the	DET
cana-4411	176	8	prandtl	prandtl	NOUN
cana-4411	176	9	number	number	NOUN
cana-4411	176	10	(	(	PUNCT
cana-4411	176	11	pr	pr	NOUN
cana-4411	176	12	)	)	PUNCT
cana-4411	176	13	and	and	CCONJ
cana-4411	176	14	the	the	DET
cana-4411	176	15	nusselt	nusselt	NOUN
cana-4411	176	16	number	number	NOUN
cana-4411	176	17	(	(	PUNCT
cana-4411	176	18	nu	nu	NOUN
cana-4411	176	19	)	)	PUNCT
cana-4411	176	20	at	at	ADP
cana-4411	176	21	z	z	PROPN
cana-4411	176	22	=	=	NOUN
cana-4411	176	23	h	h	NOUN
cana-4411	176	24	can	can	AUX
cana-4411	176	25	be	be	AUX
cana-4411	176	26	understood	understand	VERB
cana-4411	176	27	through	through	ADP
cana-4411	176	28	the	the	DET
cana-4411	176	29	concept	concept	NOUN
cana-4411	176	30	of	of	ADP
cana-4411	176	31	boundary	boundary	ADJ
cana-4411	176	32	layers	layer	NOUN
cana-4411	176	33	and	and	CCONJ
cana-4411	176	34	the	the	DET
cana-4411	176	35	effect	effect	NOUN
cana-4411	176	36	of	of	ADP
cana-4411	176	37	viscosity	viscosity	NOUN
cana-4411	176	38	on	on	ADP
cana-4411	176	39	heat	heat	NOUN
cana-4411	176	40	transfer	transfer	NOUN
cana-4411	176	41	.	.	PUNCT
cana-4411	177	1	the	the	DET
cana-4411	177	2	boundary	boundary	ADJ
cana-4411	177	3	layer	layer	NOUN
cana-4411	177	4	is	be	AUX
cana-4411	177	5	the	the	DET
cana-4411	177	6	thin	thin	ADJ
cana-4411	177	7	layer	layer	NOUN
cana-4411	177	8	of	of	ADP
cana-4411	177	9	fluid	fluid	NOUN
cana-4411	177	10	adjacent	adjacent	ADJ
cana-4411	177	11	to	to	ADP
cana-4411	177	12	a	a	DET
cana-4411	177	13	solid	solid	ADJ
cana-4411	177	14	surface	surface	NOUN
cana-4411	177	15	.	.	PUNCT
cana-4411	178	1	this	this	DET
cana-4411	178	2	layer	layer	NOUN
cana-4411	178	3	experiences	experience	VERB
cana-4411	178	4	a	a	DET
cana-4411	178	5	slower	slow	ADJ
cana-4411	178	6	flow	flow	NOUN
cana-4411	178	7	than	than	ADP
cana-4411	178	8	the	the	DET
cana-4411	178	9	free	free	ADJ
cana-4411	178	10	stream	stream	NOUN
cana-4411	178	11	,	,	PUNCT
cana-4411	178	12	and	and	CCONJ
cana-4411	178	13	its	its	PRON
cana-4411	178	14	thickness	thickness	NOUN
cana-4411	178	15	is	be	AUX
cana-4411	178	16	proportional	proportional	ADJ
cana-4411	178	17	to	to	ADP
cana-4411	178	18	the	the	DET
cana-4411	178	19	square	square	ADJ
cana-4411	178	20	root	root	NOUN
cana-4411	178	21	of	of	ADP
cana-4411	178	22	the	the	DET
cana-4411	178	23	distance	distance	NOUN
cana-4411	178	24	from	from	ADP
cana-4411	178	25	the	the	DET
cana-4411	178	26	surface	surface	NOUN
cana-4411	178	27	.	.	PUNCT
cana-4411	179	1	as	as	SCONJ
cana-4411	179	2	the	the	DET
cana-4411	179	3	fluid	fluid	NOUN
cana-4411	179	4	flows	flow	VERB
cana-4411	179	5	over	over	ADP
cana-4411	179	6	a	a	DET
cana-4411	179	7	heated	heated	ADJ
cana-4411	179	8	surface	surface	NOUN
cana-4411	179	9	,	,	PUNCT
cana-4411	179	10	the	the	DET
cana-4411	179	11	temperature	temperature	NOUN
cana-4411	179	12	of	of	ADP
cana-4411	179	13	the	the	DET
cana-4411	179	14	boundary	boundary	ADJ
cana-4411	179	15	layer	layer	NOUN
cana-4411	179	16	increases	increase	NOUN
cana-4411	179	17	,	,	PUNCT
cana-4411	179	18	and	and	CCONJ
cana-4411	179	19	the	the	DET
cana-4411	179	20	heat	heat	NOUN
cana-4411	179	21	is	be	AUX
cana-4411	179	22	then	then	ADV
cana-4411	179	23	transferred	transfer	VERB
cana-4411	179	24	to	to	ADP
cana-4411	179	25	the	the	DET
cana-4411	179	26	rest	rest	NOUN
cana-4411	179	27	of	of	ADP
cana-4411	179	28	the	the	DET
cana-4411	179	29	fluid	fluid	NOUN
cana-4411	179	30	by	by	ADP
cana-4411	179	31	conduction	conduction	NOUN
cana-4411	179	32	and	and	CCONJ
cana-4411	179	33	convection	convection	NOUN
cana-4411	179	34	.	.	PUNCT
cana-4411	180	1	while	while	SCONJ
cana-4411	180	2	the	the	DET
cana-4411	180	3	prandtl	prandtl	NOUN
cana-4411	180	4	number	number	NOUN
cana-4411	180	5	(	(	PUNCT
cana-4411	180	6	pr	pr	NOUN
cana-4411	180	7	)	)	PUNCT
cana-4411	180	8	is	be	AUX
cana-4411	180	9	high	high	ADJ
cana-4411	180	10	,	,	PUNCT
cana-4411	180	11	the	the	DET
cana-4411	180	12	heat	heat	NOUN
cana-4411	180	13	transfer	transfer	NOUN
cana-4411	180	14	is	be	AUX
cana-4411	180	15	dominated	dominate	VERB
cana-4411	180	16	by	by	ADP
cana-4411	180	17	conduction	conduction	NOUN
cana-4411	180	18	in	in	ADP
cana-4411	180	19	the	the	DET
cana-4411	180	20	boundary	boundary	ADJ
cana-4411	180	21	layer	layer	NOUN
cana-4411	180	22	,	,	PUNCT
cana-4411	180	23	and	and	CCONJ
cana-4411	180	24	the	the	DET
cana-4411	180	25	nusselt	nusselt	NOUN
cana-4411	180	26	number	number	NOUN
cana-4411	180	27	be	be	AUX
cana-4411	180	28	relatively	relatively	ADV
cana-4411	180	29	low	low	ADJ
cana-4411	180	30	.	.	PUNCT
cana-4411	181	1	however	however	ADV
cana-4411	181	2	,	,	PUNCT
cana-4411	181	3	as	as	SCONJ
cana-4411	181	4	the	the	DET
cana-4411	181	5	prandtl	prandtl	NOUN
cana-4411	181	6	number	number	NOUN
cana-4411	181	7	(	(	PUNCT
cana-4411	181	8	pr	pr	NOUN
cana-4411	181	9	)	)	PUNCT
cana-4411	181	10	decreases	decrease	NOUN
cana-4411	181	11	,	,	PUNCT
cana-4411	181	12	the	the	DET
cana-4411	181	13	heat	heat	NOUN
cana-4411	181	14	transfer	transfer	NOUN
cana-4411	181	15	is	be	AUX
cana-4411	181	16	increasingly	increasingly	ADV
cana-4411	181	17	dominated	dominate	VERB
cana-4411	181	18	by	by	ADP
cana-4411	181	19	convection	convection	NOUN
cana-4411	181	20	,	,	PUNCT
cana-4411	181	21	and	and	CCONJ
cana-4411	181	22	the	the	DET
cana-4411	181	23	nusselt	nusselt	NOUN
cana-4411	181	24	number	number	NOUN
cana-4411	181	25	(	(	PUNCT
cana-4411	181	26	nu)rises	nu)rise	NOUN
cana-4411	181	27	.	.	PUNCT
cana-4411	182	1	sherwood	sherwood	PROPN
cana-4411	182	2	number	number	PROPN
cana-4411	182	3	(	(	PUNCT
cana-4411	182	4	sh	sh	PROPN
cana-4411	182	5	)	)	PUNCT
cana-4411	182	6	figure	figure	NOUN
cana-4411	182	7	20	20	NUM
cana-4411	182	8	:	:	PUNCT
cana-4411	182	9	the	the	DET
cana-4411	182	10	sherwood	sherwood	PROPN
cana-4411	182	11	number	number	NOUN
cana-4411	182	12	against	against	ADP
cana-4411	182	13	sc(z=0	sc(z=0	NOUN
cana-4411	182	14	)	)	PUNCT
cana-4411	182	15	figure	figure	NOUN
cana-4411	182	16	21	21	NUM
cana-4411	182	17	:	:	PUNCT
cana-4411	182	18	the	the	DET
cana-4411	182	19	sherwood	sherwood	PROPN
cana-4411	182	20	number	number	NOUN
cana-4411	182	21	against	against	ADP
cana-4411	182	22	sc(z	sc(z	NOUN
cana-4411	182	23	=	=	SYM
cana-4411	182	24	h	h	NOUN
cana-4411	182	25	)	)	PUNCT
cana-4411	182	26	figure	figure	NOUN
cana-4411	182	27	20	20	NUM
cana-4411	182	28	that	that	SCONJ
cana-4411	182	29	the	the	DET
cana-4411	182	30	schmidt	schmidt	ADJ
cana-4411	182	31	number	number	NOUN
cana-4411	182	32	(	(	PUNCT
cana-4411	182	33	sc	sc	PROPN
cana-4411	182	34	)	)	PUNCT
cana-4411	182	35	and	and	CCONJ
cana-4411	182	36	sherwood	sherwood	PROPN
cana-4411	182	37	number	number	NOUN
cana-4411	182	38	(	(	PUNCT
cana-4411	182	39	sh	sh	NOUN
cana-4411	182	40	)	)	PUNCT
cana-4411	182	41	are	be	AUX
cana-4411	182	42	dimensionless	dimensionless	ADJ
cana-4411	182	43	numbers	number	NOUN
cana-4411	182	44	commonly	commonly	ADV
cana-4411	182	45	used	use	VERB
cana-4411	182	46	in	in	ADP
cana-4411	182	47	fluid	fluid	ADJ
cana-4411	182	48	mechanics	mechanic	NOUN
cana-4411	182	49	and	and	CCONJ
cana-4411	182	50	heat	heat	NOUN
cana-4411	182	51	transfer	transfer	NOUN
cana-4411	182	52	.	.	PUNCT
cana-4411	183	1	the	the	DET
cana-4411	183	2	schmidt	schmidt	ADJ
cana-4411	183	3	number	number	NOUN
cana-4411	183	4	(	(	PUNCT
cana-4411	183	5	sc	sc	NOUN
cana-4411	183	6	)	)	PUNCT
cana-4411	183	7	represents	represent	VERB
cana-4411	183	8	the	the	DET
cana-4411	183	9	ratio	ratio	NOUN
cana-4411	183	10	of	of	ADP
cana-4411	183	11	momentum	momentum	NOUN
cana-4411	183	12	diffusivity	diffusivity	NOUN
cana-4411	183	13	(	(	PUNCT
cana-4411	183	14	viscosity	viscosity	NOUN
cana-4411	183	15	)	)	PUNCT
cana-4411	183	16	to	to	PART
cana-4411	183	17	mass	mass	VERB
cana-4411	183	18	diffusivity	diffusivity	NOUN
cana-4411	183	19	,	,	PUNCT
cana-4411	183	20	while	while	SCONJ
cana-4411	183	21	the	the	DET
cana-4411	183	22	sherwood	sherwood	PROPN
cana-4411	183	23	number	number	NOUN
cana-4411	183	24	represents	represent	VERB
cana-4411	183	25	the	the	DET
cana-4411	183	26	ratio	ratio	NOUN
cana-4411	183	27	of	of	ADP
cana-4411	183	28	mass	mass	ADJ
cana-4411	183	29	transfer	transfer	NOUN
cana-4411	183	30	(	(	PUNCT
cana-4411	183	31	diffusion	diffusion	NOUN
cana-4411	183	32	)	)	PUNCT
cana-4411	183	33	to	to	ADP
cana-4411	183	34	momentum	momentum	NOUN
cana-4411	183	35	transfer	transfer	NOUN
cana-4411	183	36	(	(	PUNCT
cana-4411	183	37	viscosity	viscosity	NOUN
cana-4411	183	38	)	)	PUNCT
cana-4411	183	39	.	.	PUNCT
cana-4411	184	1	at	at	ADP
cana-4411	184	2	z=0	z=0	PROPN
cana-4411	184	3	,	,	PUNCT
cana-4411	184	4	which	which	PRON
cana-4411	184	5	is	be	AUX
cana-4411	184	6	usually	usually	ADV
cana-4411	184	7	the	the	DET
cana-4411	184	8	reference	reference	NOUN
cana-4411	184	9	plane	plane	NOUN
cana-4411	184	10	,	,	PUNCT
cana-4411	184	11	the	the	DET
cana-4411	184	12	concentration	concentration	NOUN
cana-4411	184	13	gradient	gradient	NOUN
cana-4411	184	14	is	be	AUX
cana-4411	184	15	considered	consider	VERB
cana-4411	184	16	to	to	PART
cana-4411	184	17	be	be	AUX
cana-4411	184	18	zero	zero	NUM
cana-4411	184	19	.	.	PUNCT
cana-4411	185	1	this	this	PRON
cana-4411	185	2	means	mean	VERB
cana-4411	185	3	that	that	SCONJ
cana-4411	185	4	there	there	PRON
cana-4411	185	5	is	be	VERB
cana-4411	185	6	no	no	DET
cana-4411	185	7	change	change	NOUN
cana-4411	185	8	in	in	ADP
cana-4411	185	9	concentration	concentration	NOUN
cana-4411	185	10	in	in	ADP
cana-4411	185	11	the	the	DET
cana-4411	185	12	horizontal	horizontal	ADJ
cana-4411	185	13	direction	direction	NOUN
cana-4411	185	14	,	,	PUNCT
cana-4411	185	15	and	and	CCONJ
cana-4411	185	16	any	any	DET
cana-4411	185	17	mass	mass	NOUN
cana-4411	185	18	transfer	transfer	NOUN
cana-4411	185	19	that	that	PRON
cana-4411	185	20	occurs	occur	VERB
cana-4411	185	21	is	be	AUX
cana-4411	185	22	due	due	ADJ
cana-4411	185	23	to	to	ADP
cana-4411	185	24	vertical	vertical	ADJ
cana-4411	185	25	diffusion	diffusion	NOUN
cana-4411	185	26	.	.	PUNCT
cana-4411	186	1	since	since	SCONJ
cana-4411	186	2	the	the	DET
cana-4411	186	3	concentration	concentration	NOUN
cana-4411	186	4	gradient	gradient	NOUN
cana-4411	186	5	is	be	AUX
cana-4411	186	6	small	small	ADJ
cana-4411	186	7	or	or	CCONJ
cana-4411	186	8	negligible	negligible	ADJ
cana-4411	186	9	at	at	ADP
cana-4411	186	10	z=0	z=0	PROPN
cana-4411	186	11	,	,	PUNCT
cana-4411	186	12	the	the	DET
cana-4411	186	13	mass	mass	ADJ
cana-4411	186	14	diffusivity	diffusivity	NOUN
cana-4411	186	15	dominates	dominate	VERB
cana-4411	186	16	the	the	DET
cana-4411	186	17	mass	mass	NOUN
cana-4411	186	18	transfer	transfer	NOUN
cana-4411	186	19	process	process	NOUN
cana-4411	186	20	,	,	PUNCT
cana-4411	186	21	and	and	CCONJ
cana-4411	186	22	the	the	DET
cana-4411	186	23	momentum	momentum	NOUN
cana-4411	186	24	diffusivity	diffusivity	NOUN
cana-4411	186	25	plays	play	VERB
cana-4411	186	26	a	a	DET
cana-4411	186	27	minor	minor	ADJ
cana-4411	186	28	role	role	NOUN
cana-4411	186	29	.	.	PUNCT
cana-4411	187	1	the	the	DET
cana-4411	187	2	schmidt	schmidt	ADJ
cana-4411	187	3	number	number	NOUN
cana-4411	187	4	(	(	PUNCT
cana-4411	187	5	sc	sc	PROPN
cana-4411	187	6	)	)	PUNCT
cana-4411	187	7	decreases	decrease	NOUN
cana-4411	187	8	at	at	ADP
cana-4411	187	9	z=0	z=0	PROPN
cana-4411	187	10	,	,	PUNCT
cana-4411	187	11	meaning	mean	VERB
cana-4411	187	12	that	that	SCONJ
cana-4411	187	13	mass	mass	ADJ
cana-4411	187	14	diffusivity	diffusivity	NOUN
cana-4411	187	15	is	be	AUX
cana-4411	187	16	relatively	relatively	ADV
cana-4411	187	17	more	more	ADV
cana-4411	187	18	important	important	ADJ
cana-4411	187	19	than	than	ADP
cana-4411	187	20	momentum	momentum	NOUN
cana-4411	187	21	diffusivity	diffusivity	NOUN
cana-4411	187	22	.	.	PUNCT
cana-4411	188	1	this	this	PRON
cana-4411	188	2	leads	lead	VERB
cana-4411	188	3	to	to	ADP
cana-4411	188	4	a	a	DET
cana-4411	188	5	corresponding	corresponding	ADJ
cana-4411	188	6	decrease	decrease	NOUN
cana-4411	188	7	in	in	ADP
cana-4411	188	8	the	the	DET
cana-4411	188	9	sherwood	sherwood	PROPN
cana-4411	188	10	number	number	NOUN
cana-4411	188	11	(	(	PUNCT
cana-4411	188	12	sh	sh	NOUN
cana-4411	188	13	)	)	PUNCT
cana-4411	188	14	at	at	ADP
cana-4411	188	15	z=0	z=0	PROPN
cana-4411	188	16	,	,	PUNCT
cana-4411	188	17	as	as	SCONJ
cana-4411	188	18	the	the	DET
cana-4411	188	19	mass	mass	NOUN
cana-4411	188	20	transfer	transfer	NOUN
cana-4411	188	21	coefficient	coefficient	NOUN
cana-4411	188	22	(	(	PUNCT
cana-4411	188	23	which	which	PRON
cana-4411	188	24	is	be	AUX
cana-4411	188	25	directly	directly	ADV
cana-4411	188	26	proportional	proportional	ADJ
cana-4411	188	27	to	to	ADP
cana-4411	188	28	the	the	DET
cana-4411	188	29	sherwood	sherwood	PROPN
cana-4411	188	30	number	number	NOUN
cana-4411	188	31	)	)	PUNCT
cana-4411	188	32	is	be	AUX
cana-4411	188	33	primarily	primarily	ADV
cana-4411	188	34	affected	affect	VERB
cana-4411	188	35	by	by	ADP
cana-4411	188	36	mass	mass	ADJ
cana-4411	188	37	diffusivity	diffusivity	NOUN
cana-4411	188	38	.	.	PUNCT
cana-4411	189	1	figure	figure	NOUN
cana-4411	189	2	21	21	NUM
cana-4411	189	3	that	that	SCONJ
cana-4411	189	4	the	the	DET
cana-4411	189	5	schmidt	schmidt	ADJ
cana-4411	189	6	number	number	NOUN
cana-4411	189	7	(	(	PUNCT
cana-4411	189	8	sc	sc	PROPN
cana-4411	189	9	)	)	PUNCT
cana-4411	189	10	and	and	CCONJ
cana-4411	189	11	the	the	DET
cana-4411	189	12	sherwood	sherwood	PROPN
cana-4411	189	13	number	number	NOUN
cana-4411	189	14	(	(	PUNCT
cana-4411	189	15	sh	sh	NOUN
cana-4411	189	16	)	)	PUNCT
cana-4411	189	17	are	be	AUX
cana-4411	189	18	both	both	DET
cana-4411	189	19	dimensionless	dimensionless	ADJ
cana-4411	189	20	numbers	number	NOUN
cana-4411	189	21	used	use	VERB
cana-4411	189	22	in	in	ADP
cana-4411	189	23	fluid	fluid	ADJ
cana-4411	189	24	mechanics	mechanic	NOUN
cana-4411	189	25	to	to	PART
cana-4411	189	26	describe	describe	VERB
cana-4411	189	27	the	the	DET
cana-4411	189	28	transfer	transfer	NOUN
cana-4411	189	29	of	of	ADP
cana-4411	189	30	mass	mass	NOUN
cana-4411	189	31	or	or	CCONJ
cana-4411	189	32	momentum	momentum	NOUN
cana-4411	189	33	in	in	ADP
cana-4411	189	34	a	a	DET
cana-4411	189	35	fluid	fluid	NOUN
cana-4411	189	36	.	.	PUNCT
cana-4411	190	1	the	the	DET
cana-4411	190	2	schmidt	schmidt	ADJ
cana-4411	190	3	number	number	NOUN
cana-4411	190	4	(	(	PUNCT
cana-4411	190	5	sc	sc	PROPN
cana-4411	190	6	)	)	PUNCT
cana-4411	190	7	is	be	AUX
cana-4411	190	8	explained	explain	VERB
cana-4411	190	9	as	as	ADP
cana-4411	190	10	the	the	DET
cana-4411	190	11	ratio	ratio	NOUN
cana-4411	190	12	of	of	ADP
cana-4411	190	13	the	the	DET
cana-4411	190	14	kinematic	kinematic	ADJ
cana-4411	190	15	viscosity	viscosity	NOUN
cana-4411	190	16	of	of	ADP
cana-4411	190	17	a	a	DET
cana-4411	190	18	fluid	fluid	NOUN
cana-4411	190	19	to	to	ADP
cana-4411	190	20	its	its	PRON
cana-4411	190	21	mass	mass	ADJ
cana-4411	190	22	diffusivity	diffusivity	NOUN
cana-4411	190	23	,	,	PUNCT
cana-4411	190	24	while	while	SCONJ
cana-4411	190	25	the	the	DET
cana-4411	190	26	sherwood	sherwood	PROPN
cana-4411	190	27	number	number	NOUN
cana-4411	190	28	is	be	AUX
cana-4411	190	29	defined	define	VERB
cana-4411	190	30	as	as	ADP
cana-4411	190	31	the	the	DET
cana-4411	190	32	ratio	ratio	NOUN
cana-4411	190	33	of	of	ADP
cana-4411	190	34	the	the	DET
cana-4411	190	35	mass	mass	NOUN
cana-4411	190	36	transfer	transfer	NOUN
cana-4411	190	37	rate	rate	NOUN
cana-4411	190	38	to	to	ADP
cana-4411	190	39	the	the	DET
cana-4411	190	40	product	product	NOUN
cana-4411	190	41	of	of	ADP
cana-4411	190	42	the	the	DET
cana-4411	190	43	diffusivity	diffusivity	NOUN
cana-4411	190	44	and	and	CCONJ
cana-4411	190	45	a	a	DET
cana-4411	190	46	characteristic	characteristic	ADJ
cana-4411	190	47	length	length	NOUN
cana-4411	190	48	.	.	PUNCT
cana-4411	191	1	when	when	SCONJ
cana-4411	191	2	z	z	PROPN
cana-4411	191	3	=	=	NOUN
cana-4411	191	4	h	h	NOUN
cana-4411	191	5	,	,	PUNCT
cana-4411	191	6	the	the	DET
cana-4411	191	7	sherwood	sherwood	PROPN
cana-4411	191	8	number	number	NOUN
cana-4411	191	9	(	(	PUNCT
cana-4411	191	10	sh	sh	PROPN
cana-4411	191	11	)	)	PUNCT
cana-4411	191	12	is	be	AUX
cana-4411	191	13	describing	describe	VERB
cana-4411	191	14	the	the	DET
cana-4411	191	15	mass	mass	NOUN
cana-4411	191	16	transfer	transfer	NOUN
cana-4411	191	17	behaviour	behaviour	NOUN
cana-4411	191	18	of	of	ADP
cana-4411	191	19	the	the	DET
cana-4411	191	20	fluid	fluid	NOUN
cana-4411	191	21	away	away	ADV
cana-4411	191	22	from	from	ADP
cana-4411	191	23	the	the	DET
cana-4411	191	24	wall	wall	NOUN
cana-4411	191	25	and	and	CCONJ
cana-4411	191	26	into	into	ADP
cana-4411	191	27	the	the	DET
cana-4411	191	28	bulk	bulk	ADJ
cana-4411	191	29	flow	flow	NOUN
cana-4411	191	30	.	.	PUNCT
cana-4411	192	1	as	as	SCONJ
cana-4411	192	2	the	the	DET
cana-4411	192	3	fluid	fluid	NOUN
cana-4411	192	4	moves	move	VERB
cana-4411	192	5	communications	communication	NOUN
cana-4411	192	6	on	on	ADP
cana-4411	192	7	applied	apply	VERB
cana-4411	192	8	nonlinear	nonlinear	ADJ
cana-4411	192	9	analysis	analysis	NOUN
cana-4411	192	10	issn	issn	NOUN
cana-4411	192	11	:	:	PUNCT
cana-4411	192	12	1074	1074	NUM
cana-4411	192	13	-	-	PUNCT
cana-4411	192	14	133x	133x	NUM
cana-4411	192	15	vol	vol	NOUN
cana-4411	192	16	31	31	NUM
cana-4411	192	17	no	no	NOUN
cana-4411	192	18	.	.	PUNCT
cana-4411	193	1	8s	8s	PROPN
cana-4411	193	2	(	(	PUNCT
cana-4411	193	3	2024	2024	NUM
cana-4411	193	4	)	)	PUNCT
cana-4411	193	5	810	810	NUM
cana-4411	193	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	193	7	away	away	ADV
cana-4411	193	8	from	from	ADP
cana-4411	193	9	the	the	DET
cana-4411	193	10	wall	wall	NOUN
cana-4411	193	11	,	,	PUNCT
cana-4411	193	12	it	it	PRON
cana-4411	193	13	typically	typically	ADV
cana-4411	193	14	experiences	experience	VERB
cana-4411	193	15	less	less	ADJ
cana-4411	193	16	resistance	resistance	NOUN
cana-4411	193	17	to	to	ADP
cana-4411	193	18	mass	mass	ADJ
cana-4411	193	19	transfer	transfer	NOUN
cana-4411	193	20	and	and	CCONJ
cana-4411	193	21	the	the	DET
cana-4411	193	22	mass	mass	ADJ
cana-4411	193	23	diffusivity	diffusivity	NOUN
cana-4411	193	24	becomes	become	VERB
cana-4411	193	25	more	more	ADV
cana-4411	193	26	important	important	ADJ
cana-4411	193	27	than	than	ADP
cana-4411	193	28	the	the	DET
cana-4411	193	29	kinematic	kinematic	ADJ
cana-4411	193	30	viscosity	viscosity	NOUN
cana-4411	193	31	.	.	PUNCT
cana-4411	194	1	therefore	therefore	ADV
cana-4411	194	2	,	,	PUNCT
cana-4411	194	3	the	the	DET
cana-4411	194	4	schmidt	schmidt	ADJ
cana-4411	194	5	number	number	NOUN
cana-4411	194	6	(	(	PUNCT
cana-4411	194	7	sc	sc	PROPN
cana-4411	194	8	)	)	PUNCT
cana-4411	194	9	decreases	decrease	NOUN
cana-4411	194	10	at	at	ADP
cana-4411	194	11	z	z	PROPN
cana-4411	194	12	=	=	NOUN
cana-4411	194	13	h	h	NOUN
cana-4411	194	14	,	,	PUNCT
cana-4411	194	15	which	which	PRON
cana-4411	194	16	causes	cause	VERB
cana-4411	194	17	the	the	DET
cana-4411	194	18	sherwood	sherwood	PROPN
cana-4411	194	19	number	number	NOUN
cana-4411	194	20	(	(	PUNCT
cana-4411	194	21	sh	sh	PROPN
cana-4411	194	22	)	)	PUNCT
cana-4411	194	23	to	to	PART
cana-4411	194	24	increase	increase	VERB
cana-4411	194	25	.	.	PUNCT
cana-4411	195	1	this	this	PRON
cana-4411	195	2	means	mean	VERB
cana-4411	195	3	that	that	SCONJ
cana-4411	195	4	the	the	DET
cana-4411	195	5	mass	mass	NOUN
cana-4411	195	6	transfer	transfer	NOUN
cana-4411	195	7	rate	rate	NOUN
cana-4411	195	8	away	away	ADV
cana-4411	195	9	from	from	ADP
cana-4411	195	10	the	the	DET
cana-4411	195	11	wall	wall	NOUN
cana-4411	195	12	is	be	AUX
cana-4411	195	13	increasing	increase	VERB
cana-4411	195	14	and	and	CCONJ
cana-4411	195	15	the	the	DET
cana-4411	195	16	fluid	fluid	NOUN
cana-4411	195	17	is	be	AUX
cana-4411	195	18	mixing	mix	VERB
cana-4411	195	19	more	more	ADV
cana-4411	195	20	efficiently	efficiently	ADV
cana-4411	195	21	.	.	PUNCT
cana-4411	196	1	hence	hence	ADV
cana-4411	196	2	,	,	PUNCT
cana-4411	196	3	the	the	DET
cana-4411	196	4	decrease	decrease	NOUN
cana-4411	196	5	in	in	ADP
cana-4411	196	6	schmidt	schmidt	ADJ
cana-4411	196	7	number	number	NOUN
cana-4411	196	8	(	(	PUNCT
cana-4411	196	9	sc	sc	PROPN
cana-4411	196	10	)	)	PUNCT
cana-4411	196	11	at	at	ADP
cana-4411	196	12	z	z	NOUN
cana-4411	196	13	=	=	NOUN
cana-4411	196	14	h	h	NOUN
cana-4411	196	15	is	be	AUX
cana-4411	196	16	due	due	ADJ
cana-4411	196	17	to	to	ADP
cana-4411	196	18	the	the	DET
cana-4411	196	19	increasing	increase	VERB
cana-4411	196	20	importance	importance	NOUN
cana-4411	196	21	of	of	ADP
cana-4411	196	22	mass	mass	ADJ
cana-4411	196	23	diffusivity	diffusivity	NOUN
cana-4411	196	24	compared	compare	VERB
cana-4411	196	25	to	to	ADP
cana-4411	196	26	kinematic	kinematic	ADJ
cana-4411	196	27	viscosity	viscosity	NOUN
cana-4411	196	28	,	,	PUNCT
cana-4411	196	29	which	which	PRON
cana-4411	196	30	leads	lead	VERB
cana-4411	196	31	to	to	ADP
cana-4411	196	32	anrise	anrise	NOUN
cana-4411	196	33	in	in	ADP
cana-4411	196	34	the	the	DET
cana-4411	196	35	sherwood	sherwood	PROPN
cana-4411	196	36	number	number	NOUN
cana-4411	196	37	(	(	PUNCT
cana-4411	196	38	sh	sh	PROPN
cana-4411	196	39	)	)	PUNCT
cana-4411	196	40	and	and	CCONJ
cana-4411	196	41	more	more	ADV
cana-4411	196	42	efficient	efficient	ADJ
cana-4411	196	43	mixing	mix	VERB
cana-4411	196	44	away	away	ADV
cana-4411	196	45	from	from	ADP
cana-4411	196	46	the	the	DET
cana-4411	196	47	wall	wall	NOUN
cana-4411	196	48	.	.	PUNCT
cana-4411	197	1	5	5	NUM
cana-4411	197	2	.	.	X
cana-4411	197	3	conclusions	conclusion	NOUN
cana-4411	197	4	on	on	ADP
cana-4411	197	5	an	an	DET
cana-4411	197	6	unsteady	unsteady	ADJ
cana-4411	197	7	mhd	mhd	ADJ
cana-4411	197	8	natural	natural	ADJ
cana-4411	197	9	convective	convective	ADJ
cana-4411	197	10	flow	flow	NOUN
cana-4411	197	11	of	of	ADP
cana-4411	197	12	micropolar	micropolar	ADJ
cana-4411	197	13	casson	casson	PROPN
cana-4411	197	14	fluid	fluid	NOUN
cana-4411	197	15	across	across	ADP
cana-4411	197	16	a	a	DET
cana-4411	197	17	semi	semi	ADJ
cana-4411	197	18	-	-	ADJ
cana-4411	197	19	infinite	infinite	ADJ
cana-4411	197	20	perpendicular	perpendicular	ADJ
cana-4411	197	21	moving	move	VERB
cana-4411	197	22	porous	porous	ADJ
cana-4411	197	23	plate	plate	NOUN
cana-4411	197	24	using	use	VERB
cana-4411	197	25	convective	convective	ADJ
cana-4411	197	26	boundaries	boundary	NOUN
cana-4411	197	27	,	,	PUNCT
cana-4411	197	28	the	the	DET
cana-4411	197	29	impacts	impact	NOUN
cana-4411	197	30	of	of	ADP
cana-4411	197	31	heat	heat	NOUN
cana-4411	197	32	radiation	radiation	NOUN
cana-4411	197	33	,	,	PUNCT
cana-4411	197	34	chemical	chemical	NOUN
cana-4411	197	35	reaction	reaction	NOUN
cana-4411	197	36	,	,	PUNCT
cana-4411	197	37	soret	soret	NOUN
cana-4411	197	38	,	,	PUNCT
cana-4411	197	39	hall	hall	NOUN
cana-4411	197	40	,	,	PUNCT
cana-4411	197	41	and	and	CCONJ
cana-4411	197	42	ion	ion	NOUN
cana-4411	197	43	slip	slip	NOUN
cana-4411	197	44	have	have	AUX
cana-4411	197	45	been	be	AUX
cana-4411	197	46	studied	study	VERB
cana-4411	197	47	.	.	PUNCT
cana-4411	198	1	the	the	DET
cana-4411	198	2	perturbation	perturbation	NOUN
cana-4411	198	3	approach	approach	NOUN
cana-4411	198	4	is	be	AUX
cana-4411	198	5	utilized	utilize	VERB
cana-4411	198	6	to	to	PART
cana-4411	198	7	solve	solve	VERB
cana-4411	198	8	the	the	DET
cana-4411	198	9	dimensionless	dimensionless	NOUN
cana-4411	198	10	governing	govern	VERB
cana-4411	198	11	equations	equation	NOUN
cana-4411	198	12	.	.	PUNCT
cana-4411	199	1	the	the	DET
cana-4411	199	2	significance	significance	NOUN
cana-4411	199	3	of	of	ADP
cana-4411	199	4	velocity	velocity	NOUN
cana-4411	199	5	,	,	PUNCT
cana-4411	199	6	microrotation	microrotation	NOUN
cana-4411	199	7	,	,	PUNCT
cana-4411	199	8	temperature	temperature	NOUN
cana-4411	199	9	,	,	PUNCT
cana-4411	199	10	and	and	CCONJ
cana-4411	199	11	concentration	concentration	NOUN
cana-4411	199	12	is	be	AUX
cana-4411	199	13	learned	learn	VERB
cana-4411	199	14	in	in	ADP
cana-4411	199	15	order	order	NOUN
cana-4411	199	16	to	to	PART
cana-4411	199	17	identify	identify	VERB
cana-4411	199	18	the	the	DET
cana-4411	199	19	physical	physical	ADJ
cana-4411	199	20	properties	property	NOUN
cana-4411	199	21	using	use	VERB
cana-4411	199	22	the	the	DET
cana-4411	199	23	correct	correct	ADJ
cana-4411	199	24	parameters	parameter	NOUN
cana-4411	199	25	.	.	PUNCT
cana-4411	200	1	the	the	DET
cana-4411	200	2	following	follow	VERB
cana-4411	200	3	conclusions	conclusion	NOUN
cana-4411	200	4	are	be	AUX
cana-4411	200	5	drawn	draw	VERB
cana-4411	200	6	.	.	PUNCT
cana-4411	201	1	o	o	X
cana-4411	202	1	the	the	DET
cana-4411	202	2	results	result	NOUN
cana-4411	202	3	of	of	ADP
cana-4411	202	4	the	the	DET
cana-4411	202	5	resultant	resultant	NOUN
cana-4411	202	6	velocity	velocity	NOUN
cana-4411	202	7	q	q	PROPN
cana-4411	202	8	,	,	PUNCT
cana-4411	202	9	hartmann	hartmann	PROPN
cana-4411	202	10	number(m	number(m	PROPN
cana-4411	202	11	)	)	PUNCT
cana-4411	202	12	and	and	CCONJ
cana-4411	202	13	mass	mass	ADJ
cana-4411	202	14	grashof	grashof	ADJ
cana-4411	202	15	number	number	NOUN
cana-4411	202	16	(	(	PUNCT
cana-4411	202	17	gm	gm	PROPN
cana-4411	202	18	)	)	PUNCT
cana-4411	202	19	lessen	lessen	VERB
cana-4411	202	20	with	with	ADP
cana-4411	202	21	an	an	DET
cana-4411	202	22	increasing	increase	VERB
cana-4411	202	23	value	value	NOUN
cana-4411	202	24	.	.	PUNCT
cana-4411	203	1	whereas	whereas	SCONJ
cana-4411	203	2	hall	hall	NOUN
cana-4411	203	3	parameter	parameter	NOUN
cana-4411	203	4	(	(	PUNCT
cana-4411	203	5	)	)	PUNCT
cana-4411	203	6	increases	increase	NOUN
cana-4411	203	7	in	in	ADP
cana-4411	203	8	velocity	velocity	NOUN
cana-4411	203	9	u	u	NOUN
cana-4411	203	10	and	and	CCONJ
cana-4411	203	11	decreases	decrease	NOUN
cana-4411	203	12	in	in	ADP
cana-4411	203	13	velocity	velocity	NOUN
cana-4411	203	14	v	v	NOUN
cana-4411	203	15	with	with	ADP
cana-4411	203	16	an	an	DET
cana-4411	203	17	augment	augment	NOUN
cana-4411	203	18	value	value	NOUN
cana-4411	203	19	.	.	PUNCT
cana-4411	204	1	dimensionless	dimensionless	NOUN
cana-4411	204	2	time	time	PROPN
cana-4411	204	3	t	t	PROPN
cana-4411	204	4	,	,	PUNCT
cana-4411	204	5	ion	ion	NOUN
cana-4411	204	6	slip	slip	NOUN
cana-4411	204	7	parameter	parameter	NOUN
cana-4411	204	8	(	(	PUNCT
cana-4411	204	9	)	)	PUNCT
cana-4411	204	10	,	,	PUNCT
cana-4411	204	11	thermal	thermal	ADJ
cana-4411	204	12	grashof	grashof	ADJ
cana-4411	204	13	number	number	NOUN
cana-4411	204	14	(	(	PUNCT
cana-4411	204	15	gr	gr	NOUN
cana-4411	204	16	)	)	PUNCT
cana-4411	204	17	and	and	CCONJ
cana-4411	204	18	thermal	thermal	ADJ
cana-4411	204	19	radiation	radiation	NOUN
cana-4411	204	20	(	(	PUNCT
cana-4411	204	21	n	n	CCONJ
cana-4411	204	22	)	)	PUNCT
cana-4411	204	23	augment	augment	NOUN
cana-4411	204	24	with	with	ADP
cana-4411	204	25	rising	rise	VERB
cana-4411	204	26	values	value	NOUN
cana-4411	204	27	.	.	PUNCT
cana-4411	205	1	o	o	X
cana-4411	206	1	furthermore	furthermore	ADV
cana-4411	206	2	,	,	PUNCT
cana-4411	206	3	the	the	DET
cana-4411	206	4	effects	effect	NOUN
cana-4411	206	5	of	of	ADP
cana-4411	206	6	dimensionless	dimensionless	NOUN
cana-4411	206	7	time	time	NOUN
cana-4411	206	8	t	t	PROPN
cana-4411	206	9	exposed	expose	VERB
cana-4411	206	10	that	that	DET
cana-4411	206	11	increase	increase	NOUN
cana-4411	206	12	in	in	ADP
cana-4411	206	13	the	the	DET
cana-4411	206	14	temperature	temperature	NOUN
cana-4411	206	15	profile	profile	NOUN
cana-4411	206	16	and	and	CCONJ
cana-4411	206	17	it	it	PRON
cana-4411	206	18	reduced	reduce	VERB
cana-4411	206	19	with	with	ADP
cana-4411	206	20	a	a	DET
cana-4411	206	21	mounting	mount	VERB
cana-4411	206	22	value	value	NOUN
cana-4411	206	23	in	in	ADP
cana-4411	206	24	prandtl	prandtl	NOUN
cana-4411	206	25	number	number	NOUN
cana-4411	206	26	(	(	PUNCT
cana-4411	206	27	pr	pr	NOUN
cana-4411	206	28	)	)	PUNCT
cana-4411	206	29	and	and	CCONJ
cana-4411	206	30	thermal	thermal	ADJ
cana-4411	206	31	radiation	radiation	NOUN
cana-4411	206	32	(	(	PUNCT
cana-4411	206	33	n	n	CCONJ
cana-4411	206	34	)	)	PUNCT
cana-4411	206	35	.	.	PUNCT
cana-4411	207	1	o	o	NOUN
cana-4411	207	2	concentration	concentration	NOUN
cana-4411	207	3	profile	profile	NOUN
cana-4411	207	4	increases	increase	VERB
cana-4411	207	5	with	with	ADP
cana-4411	207	6	an	an	DET
cana-4411	207	7	increase	increase	NOUN
cana-4411	207	8	in	in	ADP
cana-4411	207	9	the	the	DET
cana-4411	207	10	dimensionless	dimensionless	NOUN
cana-4411	207	11	time	time	NOUN
cana-4411	207	12	t	t	PROPN
cana-4411	207	13	,	,	PUNCT
cana-4411	207	14	chemical	chemical	ADJ
cana-4411	207	15	reaction	reaction	NOUN
cana-4411	207	16	(	(	PUNCT
cana-4411	207	17	kc	kc	PROPN
cana-4411	207	18	)	)	PUNCT
cana-4411	207	19	and	and	CCONJ
cana-4411	207	20	schmidt	schmidt	ADJ
cana-4411	207	21	number	number	NOUN
cana-4411	207	22	(	(	PUNCT
cana-4411	207	23	sc	sc	PROPN
cana-4411	207	24	)	)	PUNCT
cana-4411	207	25	.	.	PUNCT
cana-4411	208	1	o	o	NOUN
cana-4411	208	2	microrotation	microrotation	NOUN
cana-4411	208	3	profile	profile	NOUN
cana-4411	208	4	lessens	lessen	VERB
cana-4411	208	5	with	with	ADP
cana-4411	208	6	the	the	DET
cana-4411	208	7	mounting	mount	VERB
cana-4411	208	8	values	value	NOUN
cana-4411	208	9	of	of	ADP
cana-4411	208	10	dimensionless	dimensionless	ADJ
cana-4411	208	11	time	time	NOUN
cana-4411	208	12	t.	t.	PROPN
cana-4411	208	13	o	o	NOUN
cana-4411	208	14	an	an	DET
cana-4411	208	15	augment	augment	NOUN
cana-4411	208	16	in	in	ADP
cana-4411	208	17	the	the	DET
cana-4411	208	18	hartmann	hartmann	PROPN
cana-4411	208	19	number	number	NOUN
cana-4411	208	20	(	(	PUNCT
cana-4411	208	21	m)and	m)and	NOUN
cana-4411	208	22	prandtl	prandtl	NOUN
cana-4411	208	23	number	number	NOUN
cana-4411	208	24	(	(	PUNCT
cana-4411	208	25	pr	pr	NOUN
cana-4411	208	26	)	)	PUNCT
cana-4411	208	27	at	at	ADP
cana-4411	208	28	z=0	z=0	PROPN
cana-4411	208	29	reducesthe	reducesthe	NOUN
cana-4411	208	30	skin	skin	NOUN
cana-4411	208	31	friction	friction	NOUN
cana-4411	208	32	(	(	PUNCT
cana-4411	208	33	cf	cf	NOUN
cana-4411	208	34	)	)	PUNCT
cana-4411	208	35	coefficient	coefficient	NOUN
cana-4411	208	36	and	and	CCONJ
cana-4411	208	37	nusselt	nusselt	NOUN
cana-4411	208	38	number	number	NOUN
cana-4411	208	39	(	(	PUNCT
cana-4411	208	40	nu	nu	PROPN
cana-4411	208	41	)	)	PUNCT
cana-4411	208	42	,	,	PUNCT
cana-4411	208	43	the	the	DET
cana-4411	208	44	reversal	reversal	NOUN
cana-4411	208	45	behaviour	behaviour	NOUN
cana-4411	208	46	is	be	AUX
cana-4411	208	47	detected	detect	VERB
cana-4411	208	48	for	for	ADP
cana-4411	208	49	the	the	DET
cana-4411	208	50	skin	skin	NOUN
cana-4411	208	51	friction	friction	NOUN
cana-4411	208	52	coefficient	coefficient	NOUN
cana-4411	208	53	and	and	CCONJ
cana-4411	208	54	nusselt	nusselt	NOUN
cana-4411	208	55	number	number	NOUN
cana-4411	208	56	(	(	PUNCT
cana-4411	208	57	nu)while	nu)while	VERB
cana-4411	208	58	an	an	DET
cana-4411	208	59	increase	increase	NOUN
cana-4411	208	60	in	in	ADP
cana-4411	208	61	the	the	DET
cana-4411	208	62	hartmann	hartmann	PROPN
cana-4411	208	63	number	number	NOUN
cana-4411	208	64	(	(	PUNCT
cana-4411	208	65	m	m	NOUN
cana-4411	208	66	)	)	PUNCT
cana-4411	208	67	and	and	CCONJ
cana-4411	208	68	prandtl	prandtl	NOUN
cana-4411	208	69	number	number	NOUN
cana-4411	208	70	(	(	PUNCT
cana-4411	208	71	pr	pr	NOUN
cana-4411	208	72	)	)	PUNCT
cana-4411	208	73	at	at	ADP
cana-4411	208	74	z	z	NOUN
cana-4411	208	75	=	=	NOUN
cana-4411	208	76	h.whereas	h.wherea	NOUN
cana-4411	208	77	sherwood	sherwood	PROPN
cana-4411	208	78	number	number	NOUN
cana-4411	208	79	(	(	PUNCT
cana-4411	208	80	sh)lessens	sh)lessen	NOUN
cana-4411	208	81	with	with	ADP
cana-4411	208	82	weaken	weaken	NOUN
cana-4411	208	83	in	in	ADP
cana-4411	208	84	the	the	DET
cana-4411	208	85	increasing	increase	VERB
cana-4411	208	86	values	value	NOUN
cana-4411	208	87	of	of	ADP
cana-4411	208	88	schmidt	schmidt	ADJ
cana-4411	208	89	number	number	NOUN
cana-4411	208	90	(	(	PUNCT
cana-4411	208	91	sc	sc	PROPN
cana-4411	208	92	)	)	PUNCT
cana-4411	208	93	at	at	ADP
cana-4411	208	94	the	the	DET
cana-4411	208	95	walls	wall	NOUN
cana-4411	208	96	z=0	z=0	PROPN
cana-4411	208	97	and	and	CCONJ
cana-4411	208	98	z	z	PROPN
cana-4411	208	99	=	=	PROPN
cana-4411	208	100	h.	h.	NOUN
cana-4411	208	101	appendix	appendix	ADJ
cana-4411	208	102	communications	communication	NOUN
cana-4411	208	103	on	on	ADP
cana-4411	208	104	applied	apply	VERB
cana-4411	208	105	nonlinear	nonlinear	ADJ
cana-4411	208	106	analysis	analysis	NOUN
cana-4411	208	107	issn	issn	NOUN
cana-4411	208	108	:	:	PUNCT
cana-4411	208	109	1074	1074	NUM
cana-4411	208	110	-	-	PUNCT
cana-4411	208	111	133x	133x	NUM
cana-4411	208	112	vol	vol	NOUN
cana-4411	208	113	31	31	NUM
cana-4411	208	114	no	no	NOUN
cana-4411	208	115	.	.	PUNCT
cana-4411	209	1	8s	8s	PROPN
cana-4411	209	2	(	(	PUNCT
cana-4411	209	3	2024	2024	NUM
cana-4411	209	4	)	)	PUNCT
cana-4411	209	5	811	811	NUM
cana-4411	209	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	209	7	communications	communication	NOUN
cana-4411	209	8	on	on	ADP
cana-4411	209	9	applied	apply	VERB
cana-4411	209	10	nonlinear	nonlinear	ADJ
cana-4411	209	11	analysis	analysis	NOUN
cana-4411	209	12	issn	issn	NOUN
cana-4411	209	13	:	:	PUNCT
cana-4411	209	14	1074	1074	NUM
cana-4411	209	15	-	-	PUNCT
cana-4411	209	16	133x	133x	NUM
cana-4411	209	17	vol	vol	NOUN
cana-4411	209	18	31	31	NUM
cana-4411	209	19	no	no	NOUN
cana-4411	209	20	.	.	PUNCT
cana-4411	210	1	8s	8s	PROPN
cana-4411	210	2	(	(	PUNCT
cana-4411	210	3	2024	2024	NUM
cana-4411	210	4	)	)	PUNCT
cana-4411	210	5	812	812	NUM
cana-4411	210	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	210	7	references	reference	NOUN
cana-4411	210	8	[	[	X
cana-4411	210	9	1	1	NUM
cana-4411	210	10	]	]	PUNCT
cana-4411	210	11	h.	h.	PROPN
cana-4411	210	12	r.	r.	PROPN
cana-4411	210	13	kataria	kataria	PROPN
cana-4411	210	14	and	and	CCONJ
cana-4411	210	15	h.	h.	PROPN
cana-4411	210	16	r.	r.	PROPN
cana-4411	210	17	patel	patel	PROPN
cana-4411	210	18	,	,	PUNCT
cana-4411	210	19	“	"	PUNCT
cana-4411	210	20	effects	effect	NOUN
cana-4411	210	21	of	of	ADP
cana-4411	210	22	chemical	chemical	ADJ
cana-4411	210	23	reaction	reaction	NOUN
cana-4411	210	24	and	and	CCONJ
cana-4411	210	25	heat	heat	NOUN
cana-4411	210	26	generation	generation	NOUN
cana-4411	210	27	/	/	SYM
cana-4411	210	28	absorption	absorption	NOUN
cana-4411	210	29	on	on	ADP
cana-4411	210	30	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-4411	210	31	(	(	PUNCT
cana-4411	210	32	mhd	mhd	NOUN
cana-4411	210	33	)	)	PUNCT
cana-4411	210	34	casson	casson	PROPN
cana-4411	210	35	fluid	fluid	NOUN
cana-4411	210	36	flow	flow	NOUN
cana-4411	210	37	over	over	ADP
cana-4411	210	38	an	an	DET
cana-4411	210	39	exponentially	exponentially	ADV
cana-4411	210	40	accelerated	accelerate	VERB
cana-4411	210	41	vertical	vertical	ADJ
cana-4411	210	42	plate	plate	NOUN
cana-4411	210	43	embedded	embed	VERB
cana-4411	210	44	in	in	ADP
cana-4411	210	45	porous	porous	ADJ
cana-4411	210	46	medium	medium	NOUN
cana-4411	210	47	with	with	ADP
cana-4411	210	48	ramped	ramp	VERB
cana-4411	210	49	wall	wall	NOUN
cana-4411	210	50	temperature	temperature	NOUN
cana-4411	210	51	and	and	CCONJ
cana-4411	210	52	ramped	ramp	VERB
cana-4411	210	53	surface	surface	NOUN
cana-4411	210	54	concentration	concentration	NOUN
cana-4411	210	55	,	,	PUNCT
cana-4411	210	56	”	"	PUNCT
cana-4411	210	57	propuls	propul	NOUN
cana-4411	210	58	.	.	PUNCT
cana-4411	211	1	power	power	NOUN
cana-4411	211	2	res	re	NOUN
cana-4411	211	3	.	.	PUNCT
cana-4411	211	4	,	,	PUNCT
cana-4411	211	5	vol	vol	NOUN
cana-4411	211	6	.	.	PROPN
cana-4411	211	7	8	8	NUM
cana-4411	211	8	,	,	PUNCT
cana-4411	211	9	no	no	INTJ
cana-4411	211	10	.	.	NOUN
cana-4411	211	11	1	1	NUM
cana-4411	211	12	,	,	PUNCT
cana-4411	211	13	pp	pp	ADJ
cana-4411	211	14	.	.	PUNCT
cana-4411	212	1	35–46	35–46	NUM
cana-4411	212	2	,	,	PUNCT
cana-4411	212	3	2019	2019	NUM
cana-4411	212	4	,	,	PUNCT
cana-4411	212	5	doi	doi	NOUN
cana-4411	212	6	:	:	PUNCT
cana-4411	212	7	10.1016	10.1016	NUM
cana-4411	212	8	/	/	SYM
cana-4411	212	9	j.jppr.2018.12.001	j.jppr.2018.12.001	PROPN
cana-4411	212	10	.	.	PUNCT
cana-4411	213	1	[	[	X
cana-4411	213	2	2	2	NUM
cana-4411	213	3	]	]	PUNCT
cana-4411	213	4	m.	m.	NOUN
cana-4411	213	5	veera	veera	NOUN
cana-4411	213	6	krishna	krishna	PROPN
cana-4411	213	7	and	and	CCONJ
cana-4411	213	8	a.	a.	PROPN
cana-4411	213	9	j.	j.	PROPN
cana-4411	213	10	chamkha	chamkha	PROPN
cana-4411	213	11	,	,	PUNCT
cana-4411	213	12	“	"	PUNCT
cana-4411	213	13	hall	hall	NOUN
cana-4411	213	14	and	and	CCONJ
cana-4411	213	15	ion	ion	NOUN
cana-4411	213	16	slip	slip	NOUN
cana-4411	213	17	effects	effect	NOUN
cana-4411	213	18	on	on	ADP
cana-4411	213	19	mhd	mhd	NOUN
cana-4411	213	20	rotating	rotate	VERB
cana-4411	213	21	boundary	boundary	ADJ
cana-4411	213	22	layer	layer	NOUN
cana-4411	213	23	flow	flow	NOUN
cana-4411	213	24	of	of	ADP
cana-4411	213	25	nanofluid	nanofluid	PROPN
cana-4411	213	26	past	past	ADP
cana-4411	213	27	an	an	DET
cana-4411	213	28	infinite	infinite	ADJ
cana-4411	213	29	vertical	vertical	ADJ
cana-4411	213	30	plate	plate	NOUN
cana-4411	213	31	embedded	embed	VERB
cana-4411	213	32	in	in	ADP
cana-4411	213	33	a	a	DET
cana-4411	213	34	porous	porous	ADJ
cana-4411	213	35	medium	medium	NOUN
cana-4411	213	36	,	,	PUNCT
cana-4411	213	37	”	"	PUNCT
cana-4411	213	38	results	result	VERB
cana-4411	213	39	phys	phy	NOUN
cana-4411	213	40	.	.	PUNCT
cana-4411	213	41	,	,	PUNCT
cana-4411	213	42	vol	vol	NOUN
cana-4411	213	43	.	.	PROPN
cana-4411	214	1	15	15	NUM
cana-4411	214	2	,	,	PUNCT
cana-4411	214	3	no	no	INTJ
cana-4411	214	4	.	.	PUNCT
cana-4411	215	1	april	april	PROPN
cana-4411	215	2	,	,	PUNCT
cana-4411	215	3	2019	2019	NUM
cana-4411	215	4	,	,	PUNCT
cana-4411	215	5	doi	doi	NOUN
cana-4411	215	6	:	:	PUNCT
cana-4411	215	7	10.1016	10.1016	NUM
cana-4411	215	8	/	/	SYM
cana-4411	215	9	j.rinp.2019.102652	j.rinp.2019.102652	NOUN
cana-4411	215	10	.	.	PUNCT
cana-4411	216	1	[	[	X
cana-4411	216	2	3	3	X
cana-4411	216	3	]	]	PUNCT
cana-4411	216	4	j.	j.	PROPN
cana-4411	216	5	sasikumar	sasikumar	PROPN
cana-4411	216	6	,	,	PUNCT
cana-4411	216	7	d.	d.	PROPN
cana-4411	216	8	bhati	bhati	PROPN
cana-4411	216	9	,	,	PUNCT
cana-4411	216	10	and	and	CCONJ
cana-4411	216	11	v.	v.	ADP
cana-4411	216	12	bhaskar	bhaskar	NOUN
cana-4411	216	13	,	,	PUNCT
cana-4411	216	14	“	"	PUNCT
cana-4411	216	15	effect	effect	NOUN
cana-4411	216	16	of	of	ADP
cana-4411	216	17	heat	heat	NOUN
cana-4411	216	18	and	and	CCONJ
cana-4411	216	19	mass	mass	NOUN
cana-4411	216	20	transfer	transfer	NOUN
cana-4411	216	21	on	on	ADP
cana-4411	216	22	mhd	mhd	NOUN
cana-4411	216	23	oscillatory	oscillatory	ADJ
cana-4411	216	24	flow	flow	NOUN
cana-4411	216	25	through	through	ADP
cana-4411	216	26	asymmetric	asymmetric	ADJ
cana-4411	216	27	wavy	wavy	ADJ
cana-4411	216	28	channel	channel	NOUN
cana-4411	216	29	in	in	ADP
cana-4411	216	30	a	a	DET
cana-4411	216	31	porous	porous	ADJ
cana-4411	216	32	medium	medium	NOUN
cana-4411	216	33	with	with	ADP
cana-4411	216	34	suction	suction	NOUN
cana-4411	216	35	and	and	CCONJ
cana-4411	216	36	injection	injection	NOUN
cana-4411	216	37	,	,	PUNCT
cana-4411	216	38	”	"	PUNCT
cana-4411	216	39	aip	aip	PROPN
cana-4411	216	40	conf	conf	PROPN
cana-4411	216	41	.	.	PUNCT
cana-4411	217	1	proc	proc	PROPN
cana-4411	217	2	.	.	PROPN
cana-4411	217	3	,	,	PUNCT
cana-4411	217	4	vol	vol	NOUN
cana-4411	217	5	.	.	PROPN
cana-4411	217	6	2277	2277	NUM
cana-4411	217	7	,	,	PUNCT
cana-4411	217	8	2020	2020	NUM
cana-4411	217	9	,	,	PUNCT
cana-4411	217	10	doi	doi	NOUN
cana-4411	217	11	:	:	PUNCT
cana-4411	217	12	10.1063/5.0025530	10.1063/5.0025530	NUM
cana-4411	217	13	.	.	PUNCT
cana-4411	218	1	[	[	X
cana-4411	218	2	4	4	NUM
cana-4411	218	3	]	]	PUNCT
cana-4411	218	4	a.	a.	NOUN
cana-4411	218	5	rahman	rahman	PROPN
cana-4411	218	6	,	,	PUNCT
cana-4411	218	7	m.	m.	PROPN
cana-4411	218	8	kasim	kasim	PROPN
cana-4411	218	9	,	,	PUNCT
cana-4411	218	10	h.	h.	PROPN
cana-4411	218	11	ali	ali	PROPN
cana-4411	218	12	,	,	PUNCT
cana-4411	218	13	and	and	CCONJ
cana-4411	218	14	m.	m.	PROPN
cana-4411	218	15	al	al	PROPN
cana-4411	218	16	-	-	PUNCT
cana-4411	218	17	shari	shari	PROPN
cana-4411	218	18	,	,	PUNCT
cana-4411	218	19	“	"	PUNCT
cana-4411	218	20	proceedings	proceeding	NOUN
cana-4411	218	21	of	of	ADP
cana-4411	218	22	the	the	DET
cana-4411	218	23	third	third	ADJ
cana-4411	218	24	international	international	ADJ
cana-4411	218	25	conference	conference	NOUN
cana-4411	218	26	on	on	ADP
cana-4411	218	27	computing	computing	NOUN
cana-4411	218	28	,	,	PUNCT
cana-4411	218	29	mathematics	mathematic	NOUN
cana-4411	218	30	and	and	CCONJ
cana-4411	218	31	statistics	statistic	NOUN
cana-4411	218	32	(	(	PUNCT
cana-4411	218	33	icms2017	icms2017	PROPN
cana-4411	218	34	)	)	PUNCT
cana-4411	218	35	,	,	PUNCT
cana-4411	218	36	”	"	PUNCT
cana-4411	218	37	proc	proc	NOUN
cana-4411	218	38	.	.	PUNCT
cana-4411	218	39	third	third	ADJ
cana-4411	218	40	int	int	NOUN
cana-4411	218	41	.	.	PUNCT
cana-4411	219	1	conf	conf	NOUN
cana-4411	219	2	.	.	PUNCT
cana-4411	220	1	comput	comput	PROPN
cana-4411	220	2	.	.	PUNCT
cana-4411	221	1	math	math	NOUN
cana-4411	221	2	.	.	PUNCT
cana-4411	222	1	stat	stat	PROPN
cana-4411	222	2	.	.	PUNCT
cana-4411	222	3	,	,	PUNCT
cana-4411	222	4	2019	2019	NUM
cana-4411	222	5	,	,	PUNCT
cana-4411	222	6	doi	doi	NOUN
cana-4411	222	7	:	:	PUNCT
cana-4411	222	8	10.1007/978	10.1007/978	NUM
cana-4411	222	9	-	-	SYM
cana-4411	222	10	981	981	NUM
cana-4411	222	11	-	-	PUNCT
cana-4411	222	12	13	13	NUM
cana-4411	222	13	-	-	PUNCT
cana-4411	222	14	7279	7279	NUM
cana-4411	222	15	-	-	PUNCT
cana-4411	222	16	7	7	NUM
cana-4411	222	17	.	.	PUNCT
cana-4411	223	1	[	[	X
cana-4411	223	2	5	5	NUM
cana-4411	223	3	]	]	PUNCT
cana-4411	223	4	m.	m.	NOUN
cana-4411	223	5	g.	g.	PROPN
cana-4411	223	6	sobamowo	sobamowo	PROPN
cana-4411	223	7	,	,	PUNCT
cana-4411	223	8	a.	a.	PROPN
cana-4411	223	9	t.	t.	PROPN
cana-4411	223	10	akinshilo	akinshilo	PROPN
cana-4411	223	11	,	,	PUNCT
cana-4411	223	12	and	and	CCONJ
cana-4411	223	13	a.	a.	NOUN
cana-4411	223	14	a.	a.	PROPN
cana-4411	223	15	yinusa	yinusa	PROPN
cana-4411	223	16	,	,	PUNCT
cana-4411	223	17	“	"	PUNCT
cana-4411	223	18	thermo	thermo	NOUN
cana-4411	223	19	-	-	PUNCT
cana-4411	223	20	magneto	magneto	VERB
cana-4411	223	21	-	-	PUNCT
cana-4411	223	22	solutal	solutal	NOUN
cana-4411	223	23	squeezing	squeezing	NOUN
cana-4411	223	24	flow	flow	NOUN
cana-4411	223	25	of	of	ADP
cana-4411	223	26	nanofluid	nanofluid	NOUN
cana-4411	223	27	between	between	ADP
cana-4411	223	28	two	two	NUM
cana-4411	223	29	parallel	parallel	ADJ
cana-4411	223	30	disks	disk	NOUN
cana-4411	223	31	embedded	embed	VERB
cana-4411	223	32	in	in	ADP
cana-4411	223	33	a	a	DET
cana-4411	223	34	porous	porous	ADJ
cana-4411	223	35	medium	medium	NOUN
cana-4411	223	36	:	:	PUNCT
cana-4411	223	37	effects	effect	NOUN
cana-4411	223	38	of	of	ADP
cana-4411	223	39	nanoparticle	nanoparticle	NOUN
cana-4411	223	40	geometry	geometry	NOUN
cana-4411	223	41	,	,	PUNCT
cana-4411	223	42	slip	slip	NOUN
cana-4411	223	43	and	and	CCONJ
cana-4411	223	44	temperature	temperature	NOUN
cana-4411	223	45	jump	jump	NOUN
cana-4411	223	46	conditions	condition	NOUN
cana-4411	223	47	,	,	PUNCT
cana-4411	223	48	”	"	PUNCT
cana-4411	223	49	model	model	NOUN
cana-4411	223	50	.	.	PUNCT
cana-4411	224	1	simul	simul	PROPN
cana-4411	224	2	.	.	PUNCT
cana-4411	225	1	eng	eng	PROPN
cana-4411	225	2	.	.	PROPN
cana-4411	225	3	,	,	PUNCT
cana-4411	225	4	vol	vol	NOUN
cana-4411	225	5	.	.	NOUN
cana-4411	225	6	2018	2018	NUM
cana-4411	225	7	,	,	PUNCT
cana-4411	225	8	2018	2018	NUM
cana-4411	225	9	,	,	PUNCT
cana-4411	225	10	doi	doi	NOUN
cana-4411	225	11	:	:	PUNCT
cana-4411	225	12	10.1155/2018/7364634	10.1155/2018/7364634	NUM
cana-4411	225	13	.	.	PUNCT
cana-4411	226	1	communications	communication	NOUN
cana-4411	226	2	on	on	ADP
cana-4411	226	3	applied	apply	VERB
cana-4411	226	4	nonlinear	nonlinear	ADJ
cana-4411	226	5	analysis	analysis	NOUN
cana-4411	226	6	issn	issn	NOUN
cana-4411	226	7	:	:	PUNCT
cana-4411	226	8	1074	1074	NUM
cana-4411	226	9	-	-	PUNCT
cana-4411	226	10	133x	133x	NUM
cana-4411	226	11	vol	vol	NOUN
cana-4411	226	12	31	31	NUM
cana-4411	226	13	no	no	NOUN
cana-4411	226	14	.	.	PUNCT
cana-4411	227	1	8s	8s	PROPN
cana-4411	227	2	(	(	PUNCT
cana-4411	227	3	2024	2024	NUM
cana-4411	227	4	)	)	PUNCT
cana-4411	227	5	813	813	NUM
cana-4411	227	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4411	228	1	[	[	X
cana-4411	228	2	6	6	NUM
cana-4411	228	3	]	]	PUNCT
cana-4411	228	4	d.	d.	PROPN
cana-4411	228	5	yadav	yadav	PROPN
cana-4411	228	6	and	and	CCONJ
cana-4411	228	7	m.	m.	NOUN
cana-4411	228	8	maqhusi	maqhusi	PROPN
cana-4411	228	9	,	,	PUNCT
cana-4411	228	10	“	"	PUNCT
cana-4411	228	11	influence	influence	NOUN
cana-4411	228	12	of	of	ADP
cana-4411	228	13	temperature	temperature	NOUN
cana-4411	228	14	dependent	dependent	ADJ
cana-4411	228	15	viscosity	viscosity	NOUN
cana-4411	228	16	and	and	CCONJ
cana-4411	228	17	internal	internal	ADJ
cana-4411	228	18	heating	heating	NOUN
cana-4411	228	19	on	on	ADP
cana-4411	228	20	the	the	DET
cana-4411	228	21	onset	onset	NOUN
cana-4411	228	22	of	of	ADP
cana-4411	228	23	convection	convection	NOUN
cana-4411	228	24	in	in	ADP
cana-4411	228	25	porous	porous	ADJ
cana-4411	228	26	enclosures	enclosure	NOUN
cana-4411	228	27	saturated	saturate	VERB
cana-4411	228	28	with	with	ADP
cana-4411	228	29	viscoelastic	viscoelastic	ADJ
cana-4411	228	30	fluid	fluid	NOUN
cana-4411	228	31	,	,	PUNCT
cana-4411	228	32	”	"	PUNCT
cana-4411	228	33	asia	asia	PROPN
cana-4411	228	34	-	-	PUNCT
cana-4411	228	35	pacific	pacific	PROPN
cana-4411	228	36	j.	j.	PROPN
cana-4411	228	37	chem	chem	PROPN
cana-4411	228	38	.	.	PUNCT
cana-4411	229	1	eng	eng	PROPN
cana-4411	229	2	.	.	PROPN
cana-4411	229	3	,	,	PUNCT
cana-4411	229	4	vol	vol	NOUN
cana-4411	229	5	.	.	PROPN
cana-4411	229	6	15	15	NUM
cana-4411	229	7	,	,	PUNCT
cana-4411	229	8	no	no	INTJ
cana-4411	229	9	.	.	NOUN
cana-4411	229	10	6	6	NUM
cana-4411	229	11	,	,	PUNCT
cana-4411	229	12	pp	pp	ADJ
cana-4411	229	13	.	.	PUNCT
cana-4411	230	1	1–20	1–20	NUM
cana-4411	230	2	,	,	PUNCT
cana-4411	230	3	2020	2020	NUM
cana-4411	230	4	,	,	PUNCT
cana-4411	230	5	doi	doi	NOUN
cana-4411	230	6	:	:	PUNCT
cana-4411	230	7	10.1002	10.1002	NUM
cana-4411	230	8	/	/	SYM
cana-4411	230	9	apj.2514	apj.2514	PROPN
cana-4411	230	10	.	.	PUNCT
cana-4411	231	1	[	[	X
cana-4411	231	2	7	7	X
cana-4411	231	3	]	]	PUNCT
cana-4411	231	4	s.	s.	PROPN
cana-4411	231	5	i.	i.	PROPN
cana-4411	231	6	abdelsalam	abdelsalam	PROPN
cana-4411	231	7	and	and	CCONJ
cana-4411	231	8	m.	m.	NOUN
cana-4411	231	9	m.	m.	NOUN
cana-4411	231	10	bhatti	bhatti	PROPN
cana-4411	231	11	,	,	PUNCT
cana-4411	231	12	“	"	PUNCT
cana-4411	231	13	the	the	DET
cana-4411	231	14	study	study	NOUN
cana-4411	231	15	of	of	ADP
cana-4411	231	16	non	non	ADJ
cana-4411	231	17	-	-	ADJ
cana-4411	231	18	newtonian	newtonian	ADJ
cana-4411	231	19	nanofluid	nanofluid	NOUN
cana-4411	231	20	with	with	ADP
cana-4411	231	21	hall	hall	NOUN
cana-4411	231	22	and	and	CCONJ
cana-4411	231	23	ion	ion	NOUN
cana-4411	231	24	slip	slip	NOUN
cana-4411	231	25	effects	effect	NOUN
cana-4411	231	26	on	on	ADP
cana-4411	231	27	peristaltically	peristaltically	ADV
cana-4411	231	28	induced	induce	VERB
cana-4411	231	29	motion	motion	NOUN
cana-4411	231	30	in	in	ADP
cana-4411	231	31	a	a	DET
cana-4411	231	32	non	non	ADJ
cana-4411	231	33	-	-	ADJ
cana-4411	231	34	uniform	uniform	ADJ
cana-4411	231	35	channel	channel	NOUN
cana-4411	231	36	,	,	PUNCT
cana-4411	231	37	”	"	PUNCT
cana-4411	231	38	rsc	rsc	PROPN
cana-4411	231	39	adv	adv	PROPN
cana-4411	231	40	.	.	PROPN
cana-4411	231	41	,	,	PUNCT
cana-4411	231	42	vol	vol	NOUN
cana-4411	231	43	.	.	PROPN
cana-4411	231	44	8	8	NUM
cana-4411	231	45	,	,	PUNCT
cana-4411	231	46	no	no	INTJ
cana-4411	231	47	.	.	NOUN
cana-4411	231	48	15	15	NUM
cana-4411	231	49	,	,	PUNCT
cana-4411	231	50	pp	pp	ADJ
cana-4411	231	51	.	.	PUNCT
cana-4411	232	1	7904–7915	7904–7915	NUM
cana-4411	232	2	,	,	PUNCT
cana-4411	232	3	2018	2018	NUM
cana-4411	232	4	,	,	PUNCT
cana-4411	232	5	doi	doi	NOUN
cana-4411	232	6	:	:	PUNCT
cana-4411	232	7	10.1039	10.1039	NUM
cana-4411	232	8	/	/	SYM
cana-4411	232	9	c7ra13188	c7ra13188	PROPN
cana-4411	232	10	g.	g.	NOUN
cana-4411	233	1	[	[	X
cana-4411	233	2	8	8	NUM
cana-4411	233	3	]	]	X
cana-4411	233	4	o.	o.	NOUN
cana-4411	233	5	t.	t.	PROPN
cana-4411	233	6	bafakeeh	bafakeeh	PROPN
cana-4411	233	7	et	et	PROPN
cana-4411	233	8	al	al	PROPN
cana-4411	233	9	.	.	PROPN
cana-4411	233	10	,	,	PUNCT
cana-4411	233	11	“	"	PUNCT
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cana-4411	233	13	current	current	ADJ
cana-4411	233	14	and	and	CCONJ
cana-4411	233	15	soret	soret	VERB
cana-4411	233	16	effects	effect	NOUN
cana-4411	233	17	on	on	ADP
cana-4411	233	18	unsteady	unsteady	ADJ
cana-4411	233	19	mhd	mhd	NOUN
cana-4411	233	20	rotating	rotating	NOUN
cana-4411	233	21	flow	flow	NOUN
cana-4411	233	22	of	of	ADP
cana-4411	233	23	second	second	ADJ
cana-4411	233	24	-	-	PUNCT
cana-4411	233	25	grade	grade	NOUN
cana-4411	233	26	fluid	fluid	NOUN
cana-4411	233	27	through	through	ADP
cana-4411	233	28	porous	porous	ADJ
cana-4411	233	29	media	medium	NOUN
cana-4411	233	30	under	under	ADP
cana-4411	233	31	the	the	DET
cana-4411	233	32	influences	influence	NOUN
cana-4411	233	33	of	of	ADP
cana-4411	233	34	thermal	thermal	ADJ
cana-4411	233	35	radiation	radiation	NOUN
cana-4411	233	36	and	and	CCONJ
cana-4411	233	37	chemical	chemical	NOUN
cana-4411	233	38	reactions	reaction	NOUN
cana-4411	233	39	,	,	PUNCT
cana-4411	233	40	”	"	PUNCT
cana-4411	233	41	catalysts	catalyst	NOUN
cana-4411	233	42	,	,	PUNCT
cana-4411	233	43	vol	vol	NOUN
cana-4411	233	44	.	.	PROPN
cana-4411	233	45	12	12	NUM
cana-4411	233	46	,	,	PUNCT
cana-4411	233	47	no	no	INTJ
cana-4411	233	48	.	.	NOUN
cana-4411	233	49	10	10	NUM
cana-4411	233	50	,	,	PUNCT
cana-4411	233	51	2022	2022	NUM
cana-4411	233	52	,	,	PUNCT
cana-4411	233	53	doi	doi	NOUN
cana-4411	233	54	:	:	PUNCT
cana-4411	233	55	10.3390	10.3390	NUM
cana-4411	233	56	/	/	SYM
cana-4411	233	57	catal12101233	catal12101233	NOUN
cana-4411	233	58	.	.	PUNCT
cana-4411	234	1	[	[	X
cana-4411	234	2	9	9	NUM
cana-4411	234	3	]	]	PUNCT
cana-4411	234	4	m.	m.	NOUN
cana-4411	234	5	d.	d.	PROPN
cana-4411	234	6	shamshuddin	shamshuddin	PROPN
cana-4411	234	7	and	and	CCONJ
cana-4411	234	8	p.	p.	NOUN
cana-4411	234	9	v.	v.	CCONJ
cana-4411	234	10	satya	satya	PROPN
cana-4411	234	11	narayana	narayana	PROPN
cana-4411	234	12	,	,	PUNCT
cana-4411	234	13	“	"	PUNCT
cana-4411	234	14	primary	primary	ADJ
cana-4411	234	15	and	and	CCONJ
cana-4411	234	16	secondary	secondary	ADJ
cana-4411	234	17	flows	flow	NOUN
cana-4411	234	18	on	on	ADP
cana-4411	234	19	unsteady	unsteady	ADJ
cana-4411	234	20	mhd	mhd	NOUN
cana-4411	234	21	free	free	ADJ
cana-4411	234	22	convective	convective	ADJ
cana-4411	234	23	micropolar	micropolar	ADJ
cana-4411	234	24	fluid	fluid	NOUN
cana-4411	234	25	flow	flow	NOUN
cana-4411	234	26	past	past	ADP
cana-4411	234	27	an	an	DET
cana-4411	234	28	inclined	inclined	ADJ
cana-4411	234	29	plate	plate	NOUN
cana-4411	234	30	in	in	ADP
cana-4411	234	31	a	a	DET
cana-4411	234	32	rotating	rotate	VERB
cana-4411	234	33	system	system	NOUN
cana-4411	234	34	:	:	PUNCT
cana-4411	234	35	a	a	DET
cana-4411	234	36	finite	finite	ADJ
cana-4411	234	37	element	element	NOUN
cana-4411	234	38	analysis	analysis	NOUN
cana-4411	234	39	,	,	PUNCT
cana-4411	234	40	”	"	PUNCT
cana-4411	234	41	fluid	fluid	ADJ
cana-4411	234	42	dyn	dyn	NOUN
cana-4411	234	43	.	.	PUNCT
cana-4411	235	1	mater	mater	NOUN
cana-4411	235	2	.	.	PUNCT
cana-4411	235	3	process	process	NOUN
cana-4411	235	4	.	.	PUNCT
cana-4411	236	1	,	,	PUNCT
cana-4411	236	2	vol	vol	NOUN
cana-4411	236	3	.	.	PROPN
cana-4411	237	1	14	14	NUM
cana-4411	237	2	,	,	PUNCT
cana-4411	237	3	no	no	INTJ
cana-4411	237	4	.	.	NOUN
cana-4411	237	5	1	1	NUM
cana-4411	237	6	,	,	PUNCT
cana-4411	237	7	pp	pp	ADJ
cana-4411	237	8	.	.	PUNCT
cana-4411	238	1	57–86	57–86	NUM
cana-4411	238	2	,	,	PUNCT
cana-4411	238	3	2018	2018	NUM
cana-4411	238	4	,	,	PUNCT
cana-4411	238	5	doi	doi	NOUN
cana-4411	238	6	:	:	PUNCT
cana-4411	238	7	10.3970	10.3970	NUM
cana-4411	238	8	/	/	SYM
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cana-4411	238	10	.	.	PUNCT
cana-4411	239	1	[	[	X
cana-4411	239	2	10	10	NUM
cana-4411	239	3	]	]	PUNCT
cana-4411	239	4	m.	m.	NOUN
cana-4411	239	5	veera	veera	NOUN
cana-4411	239	6	krishna	krishna	PROPN
cana-4411	239	7	,	,	PUNCT
cana-4411	239	8	“	"	PUNCT
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cana-4411	239	10	and	and	CCONJ
cana-4411	239	11	ion	ion	NOUN
cana-4411	239	12	slip	slip	NOUN
cana-4411	239	13	effects	effect	NOUN
cana-4411	239	14	on	on	ADP
cana-4411	239	15	mhd	mhd	NOUN
cana-4411	239	16	laminar	laminar	ADJ
cana-4411	239	17	flow	flow	NOUN
cana-4411	239	18	of	of	ADP
cana-4411	239	19	an	an	DET
cana-4411	239	20	elastico	elastico	NOUN
cana-4411	239	21	-	-	PUNCT
cana-4411	239	22	viscous	viscous	ADJ
cana-4411	239	23	(	(	PUNCT
cana-4411	239	24	walter’s	walter’s	ADJ
cana-4411	239	25	-	-	PUNCT
cana-4411	239	26	b	b	NOUN
cana-4411	239	27	)	)	PUNCT
cana-4411	239	28	fluid	fluid	NOUN
cana-4411	239	29	,	,	PUNCT
cana-4411	239	30	”	"	PUNCT
cana-4411	239	31	heat	heat	NOUN
cana-4411	239	32	transf	transf	NOUN
cana-4411	239	33	.	.	PUNCT
cana-4411	239	34	,	,	PUNCT
cana-4411	239	35	vol	vol	NOUN
cana-4411	239	36	.	.	PROPN
cana-4411	239	37	49	49	NUM
cana-4411	239	38	,	,	PUNCT
cana-4411	239	39	no	no	INTJ
cana-4411	239	40	.	.	NOUN
cana-4411	239	41	4	4	NUM
cana-4411	239	42	,	,	PUNCT
cana-4411	239	43	pp	pp	ADJ
cana-4411	239	44	.	.	PUNCT
cana-4411	240	1	2311–2329	2311–2329	NUM
cana-4411	240	2	,	,	PUNCT
cana-4411	240	3	2020	2020	NUM
cana-4411	240	4	,	,	PUNCT
cana-4411	240	5	doi	doi	NOUN
cana-4411	240	6	:	:	PUNCT
cana-4411	240	7	10.1002	10.1002	NUM
cana-4411	240	8	/	/	SYM
cana-4411	240	9	htj.21722	htj.21722	NUM
cana-4411	240	10	.	.	PUNCT
cana-4411	241	1	[	[	X
cana-4411	241	2	11	11	NUM
cana-4411	241	3	]	]	PUNCT
cana-4411	241	4	m.	m.	NOUN
cana-4411	241	5	veera	veera	NOUN
cana-4411	241	6	krishna	krishna	PROPN
cana-4411	241	7	,	,	PUNCT
cana-4411	241	8	n.	n.	PROPN
cana-4411	241	9	ameer	ameer	PROPN
cana-4411	241	10	ahamad	ahamad	PROPN
cana-4411	241	11	,	,	PUNCT
cana-4411	241	12	and	and	CCONJ
cana-4411	241	13	a.	a.	PROPN
cana-4411	241	14	j.	j.	PROPN
cana-4411	241	15	chamkha	chamkha	PROPN
cana-4411	241	16	,	,	PUNCT
cana-4411	241	17	“	"	PUNCT
cana-4411	241	18	hall	hall	NOUN
cana-4411	241	19	and	and	CCONJ
cana-4411	241	20	ion	ion	NOUN
cana-4411	241	21	slip	slip	NOUN
cana-4411	241	22	effects	effect	NOUN
cana-4411	241	23	on	on	ADP
cana-4411	241	24	unsteady	unsteady	ADJ
cana-4411	241	25	mhd	mhd	NOUN
cana-4411	241	26	free	free	ADJ
cana-4411	241	27	convective	convective	ADJ
cana-4411	241	28	rotating	rotating	NOUN
cana-4411	241	29	flow	flow	NOUN
cana-4411	241	30	through	through	ADP
cana-4411	241	31	a	a	DET
cana-4411	241	32	saturated	saturate	VERB
cana-4411	241	33	porous	porous	ADJ
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cana-4411	241	35	over	over	ADP
cana-4411	241	36	an	an	DET
cana-4411	241	37	exponential	exponential	ADJ
cana-4411	241	38	accelerated	accelerate	VERB
cana-4411	241	39	plate	plate	NOUN
cana-4411	241	40	,	,	PUNCT
cana-4411	241	41	”	"	PUNCT
cana-4411	241	42	alexandria	alexandria	PROPN
cana-4411	241	43	eng	eng	PROPN
cana-4411	241	44	.	.	PUNCT
cana-4411	242	1	j.	j.	PROPN
cana-4411	242	2	,	,	PUNCT
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cana-4411	242	4	.	.	PROPN
cana-4411	242	5	59	59	NUM
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cana-4411	242	10	,	,	PUNCT
cana-4411	242	11	pp	pp	ADJ
cana-4411	242	12	.	.	PUNCT
cana-4411	243	1	565–577	565–577	NUM
cana-4411	243	2	,	,	PUNCT
cana-4411	243	3	2020	2020	NUM
cana-4411	243	4	,	,	PUNCT
cana-4411	243	5	doi	doi	NOUN
cana-4411	243	6	:	:	PUNCT
cana-4411	243	7	10.1016	10.1016	NUM
cana-4411	243	8	/	/	SYM
cana-4411	243	9	j.aej.2020.01.043	j.aej.2020.01.043	NOUN
cana-4411	243	10	.	.	PUNCT
cana-4411	244	1	[	[	X
cana-4411	244	2	12	12	NUM
cana-4411	244	3	]	]	PUNCT
cana-4411	244	4	m.	m.	NOUN
cana-4411	244	5	veera	veera	NOUN
cana-4411	244	6	krishna	krishna	PROPN
cana-4411	244	7	,	,	PUNCT
cana-4411	244	8	n.	n.	PROPN
cana-4411	244	9	ameer	ameer	PROPN
cana-4411	244	10	ahamad	ahamad	PROPN
cana-4411	244	11	,	,	PUNCT
cana-4411	244	12	and	and	CCONJ
cana-4411	244	13	a.	a.	PROPN
cana-4411	244	14	f.	f.	PROPN
cana-4411	244	15	aljohani	aljohani	PROPN
cana-4411	244	16	,	,	PUNCT
cana-4411	244	17	“	"	PUNCT
cana-4411	244	18	thermal	thermal	ADJ
cana-4411	244	19	radiation	radiation	NOUN
cana-4411	244	20	,	,	PUNCT
cana-4411	244	21	chemical	chemical	NOUN
cana-4411	244	22	reaction	reaction	NOUN
cana-4411	244	23	,	,	PUNCT
cana-4411	244	24	hall	hall	NOUN
cana-4411	244	25	and	and	CCONJ
cana-4411	244	26	ion	ion	NOUN
cana-4411	244	27	slip	slip	NOUN
cana-4411	244	28	effects	effect	NOUN
cana-4411	244	29	on	on	ADP
cana-4411	244	30	mhd	mhd	NOUN
cana-4411	244	31	oscillatory	oscillatory	ADJ
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cana-4411	244	33	flow	flow	NOUN
cana-4411	244	34	of	of	ADP
cana-4411	244	35	micro	micro	ADJ
cana-4411	244	36	-	-	ADJ
cana-4411	244	37	polar	polar	ADJ
cana-4411	244	38	liquid	liquid	NOUN
cana-4411	244	39	,	,	PUNCT
cana-4411	244	40	”	"	PUNCT
cana-4411	244	41	alexandria	alexandria	PROPN
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cana-4411	244	43	.	.	PUNCT
cana-4411	245	1	j.	j.	PROPN
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cana-4411	245	4	.	.	PROPN
cana-4411	245	5	60	60	NUM
cana-4411	245	6	,	,	PUNCT
cana-4411	245	7	no	no	INTJ
cana-4411	245	8	.	.	NOUN
cana-4411	245	9	3	3	NUM
cana-4411	245	10	,	,	PUNCT
cana-4411	245	11	pp	pp	ADJ
cana-4411	245	12	.	.	PUNCT
cana-4411	246	1	3467–3484	3467–3484	NOUN
cana-4411	246	2	,	,	PUNCT
cana-4411	246	3	2021	2021	NUM
cana-4411	246	4	,	,	PUNCT
cana-4411	246	5	doi	doi	NOUN
cana-4411	246	6	:	:	PUNCT
cana-4411	246	7	10.1016	10.1016	NUM
cana-4411	246	8	/	/	SYM
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cana-4411	247	3	]	]	PUNCT
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cana-4411	247	5	yadav	yadav	PROPN
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cana-4411	247	9	,	,	PUNCT
cana-4411	247	10	r.	r.	PROPN
cana-4411	247	11	bhargava	bhargava	PROPN
cana-4411	247	12	,	,	PUNCT
cana-4411	247	13	j.	j.	PROPN
cana-4411	247	14	lee	lee	PROPN
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cana-4411	247	17	h.	h.	PROPN
cana-4411	247	18	h.	h.	PROPN
cana-4411	247	19	cho	cho	PROPN
cana-4411	247	20	,	,	PUNCT
cana-4411	247	21	“	"	PUNCT
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cana-4411	247	23	investigation	investigation	NOUN
cana-4411	247	24	of	of	ADP
cana-4411	247	25	the	the	DET
cana-4411	247	26	effect	effect	NOUN
cana-4411	247	27	of	of	ADP
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cana-4411	247	29	field	field	NOUN
cana-4411	247	30	on	on	ADP
cana-4411	247	31	the	the	DET
cana-4411	247	32	onset	onset	NOUN
cana-4411	247	33	of	of	ADP
cana-4411	247	34	nanofluid	nanofluid	ADJ
cana-4411	247	35	convection	convection	NOUN
cana-4411	247	36	,	,	PUNCT
cana-4411	247	37	”	"	PUNCT
cana-4411	247	38	appl	appl	NOUN
cana-4411	248	1	.	.	PUNCT
cana-4411	248	2	therm	therm	PROPN
cana-4411	248	3	.	.	PUNCT
cana-4411	249	1	eng	eng	PROPN
cana-4411	249	2	.	.	PROPN
cana-4411	249	3	,	,	PUNCT
cana-4411	249	4	vol	vol	NOUN
cana-4411	249	5	.	.	PROPN
cana-4411	249	6	103	103	NUM
cana-4411	249	7	,	,	PUNCT
cana-4411	249	8	pp	pp	ADJ
cana-4411	249	9	.	.	PUNCT
cana-4411	250	1	1441–1449	1441–1449	NUM
cana-4411	250	2	,	,	PUNCT
cana-4411	250	3	2016	2016	NUM
cana-4411	250	4	,	,	PUNCT
cana-4411	250	5	doi	doi	NOUN
cana-4411	250	6	:	:	PUNCT
cana-4411	250	7	10.1016	10.1016	NUM
cana-4411	250	8	/	/	SYM
cana-4411	250	9	j.applthermaleng.2016.05.039	j.applthermaleng.2016.05.039	PROPN
cana-4411	250	10	.	.	PUNCT
cana-4411	251	1	[	[	X
cana-4411	251	2	14	14	NUM
cana-4411	251	3	]	]	PUNCT
cana-4411	251	4	m.	m.	NOUN
cana-4411	251	5	v.	v.	ADP
cana-4411	251	6	krishna	krishna	PROPN
cana-4411	251	7	and	and	CCONJ
cana-4411	251	8	a.	a.	PROPN
cana-4411	251	9	j.	j.	PROPN
cana-4411	251	10	chamkha	chamkha	PROPN
cana-4411	251	11	,	,	PUNCT
cana-4411	251	12	“	"	PUNCT
cana-4411	251	13	hall	hall	NOUN
cana-4411	251	14	and	and	CCONJ
cana-4411	251	15	ion	ion	NOUN
cana-4411	251	16	slip	slip	NOUN
cana-4411	251	17	effects	effect	NOUN
cana-4411	251	18	on	on	ADP
cana-4411	251	19	mhd	mhd	NOUN
cana-4411	251	20	rotating	rotating	NOUN
cana-4411	251	21	flow	flow	NOUN
cana-4411	251	22	of	of	ADP
cana-4411	251	23	elasticoviscous	elasticoviscous	ADJ
cana-4411	251	24	fluid	fluid	NOUN
cana-4411	251	25	through	through	ADP
cana-4411	251	26	porous	porous	ADJ
cana-4411	251	27	medium	medium	NOUN
cana-4411	251	28	,	,	PUNCT
cana-4411	251	29	”	"	PUNCT
cana-4411	251	30	int	int	NOUN
cana-4411	251	31	.	.	PUNCT
cana-4411	252	1	commun	commun	PROPN
cana-4411	252	2	.	.	PUNCT
cana-4411	253	1	heat	heat	PROPN
cana-4411	253	2	mass	mass	PROPN
cana-4411	253	3	transf	transf	PROPN
cana-4411	253	4	.	.	PUNCT
cana-4411	254	1	,	,	PUNCT
cana-4411	254	2	vol	vol	NOUN
cana-4411	254	3	.	.	PROPN
cana-4411	254	4	113	113	NUM
cana-4411	254	5	,	,	PUNCT
cana-4411	254	6	p.	p.	NOUN
cana-4411	254	7	104494	104494	NUM
cana-4411	254	8	,	,	PUNCT
cana-4411	254	9	2020	2020	NUM
cana-4411	254	10	,	,	PUNCT
cana-4411	254	11	doi	doi	NOUN
cana-4411	254	12	:	:	PUNCT
cana-4411	254	13	10.1016	10.1016	NUM
cana-4411	254	14	/	/	SYM
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cana-4411	254	16	.	.	PUNCT
cana-4411	255	1	[	[	X
cana-4411	255	2	15	15	NUM
cana-4411	255	3	]	]	X
cana-4411	255	4	d.	d.	PROPN
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cana-4411	255	6	and	and	CCONJ
cana-4411	255	7	m.	m.	PROPN
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cana-4411	255	10	“	"	PUNCT
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cana-4411	255	12	and	and	CCONJ
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cana-4411	255	14	slip	slip	NOUN
cana-4411	255	15	effects	effect	NOUN
cana-4411	255	16	on	on	ADP
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cana-4411	255	18	convection	convection	NOUN
cana-4411	255	19	flow	flow	NOUN
cana-4411	255	20	of	of	ADP
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cana-4411	255	23	two	two	NUM
cana-4411	255	24	concentric	concentric	ADJ
cana-4411	255	25	cylinders	cylinder	NOUN
cana-4411	255	26	,	,	PUNCT
cana-4411	255	27	”	"	PUNCT
cana-4411	255	28	j.	j.	PROPN
cana-4411	255	29	assoc	assoc	PROPN
cana-4411	255	30	.	.	PUNCT
cana-4411	256	1	arab	arab	PROPN
cana-4411	256	2	univ	univ	PROPN
cana-4411	256	3	.	.	PUNCT
cana-4411	257	1	basic	basic	ADJ
cana-4411	257	2	appl	appl	PROPN
cana-4411	257	3	.	.	PUNCT
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cana-4411	258	2	.	.	PROPN
cana-4411	258	3	,	,	PUNCT
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cana-4411	258	7	,	,	PUNCT
cana-4411	258	8	pp	pp	ADJ
cana-4411	258	9	.	.	PUNCT
cana-4411	259	1	223–231	223–231	NUM
cana-4411	259	2	,	,	PUNCT
cana-4411	259	3	2017	2017	NUM
cana-4411	259	4	,	,	PUNCT
cana-4411	259	5	doi	doi	NOUN
cana-4411	259	6	:	:	PUNCT
cana-4411	259	7	10.1016	10.1016	NUM
cana-4411	259	8	/	/	SYM
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cana-4411	259	10	.	.	PUNCT
cana-4411	260	1	[	[	X
cana-4411	260	2	16	16	NUM
cana-4411	260	3	]	]	X
cana-4411	260	4	d.	d.	PROPN
cana-4411	260	5	pal	pal	PROPN
cana-4411	260	6	and	and	CCONJ
cana-4411	260	7	s.	s.	PROPN
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cana-4411	260	9	,	,	PUNCT
cana-4411	260	10	“	"	PUNCT
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cana-4411	260	13	-	-	PUNCT
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cana-4411	260	15	oscillatory	oscillatory	ADJ
cana-4411	260	16	flow	flow	NOUN
cana-4411	260	17	of	of	ADP
cana-4411	260	18	a	a	DET
cana-4411	260	19	chemically	chemically	ADV
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cana-4411	260	23	in	in	ADP
cana-4411	260	24	a	a	DET
cana-4411	260	25	porous	porous	ADJ
cana-4411	260	26	medium	medium	NOUN
cana-4411	260	27	,	,	PUNCT
cana-4411	260	28	”	"	PUNCT
cana-4411	260	29	propuls	propul	NOUN
cana-4411	260	30	.	.	PUNCT
cana-4411	261	1	power	power	NOUN
cana-4411	261	2	res	re	NOUN
cana-4411	261	3	.	.	PUNCT
cana-4411	261	4	,	,	PUNCT
cana-4411	261	5	vol	vol	NOUN
cana-4411	261	6	.	.	PROPN
cana-4411	262	1	7	7	NUM
cana-4411	262	2	,	,	PUNCT
cana-4411	262	3	no	no	INTJ
cana-4411	262	4	.	.	NOUN
cana-4411	262	5	2	2	NUM
cana-4411	262	6	,	,	PUNCT
cana-4411	262	7	pp	pp	ADJ
cana-4411	262	8	.	.	PUNCT
cana-4411	263	1	158–170	158–170	NUM
cana-4411	263	2	,	,	PUNCT
cana-4411	263	3	2018	2018	NUM
cana-4411	263	4	,	,	PUNCT
cana-4411	263	5	doi	doi	NOUN
cana-4411	263	6	:	:	PUNCT
cana-4411	263	7	10.1016	10.1016	NUM
cana-4411	263	8	/	/	SYM
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cana-4411	263	10	.	.	PUNCT
cana-4411	264	1	[	[	X
cana-4411	264	2	17	17	NUM
cana-4411	264	3	]	]	PUNCT
cana-4411	264	4	m.	m.	NOUN
cana-4411	264	5	sohail	sohail	PROPN
cana-4411	264	6	,	,	PUNCT
cana-4411	264	7	r.	r.	PROPN
cana-4411	264	8	naz	naz	PROPN
cana-4411	264	9	,	,	PUNCT
cana-4411	264	10	and	and	CCONJ
cana-4411	264	11	s.	s.	PROPN
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cana-4411	264	14	,	,	PUNCT
cana-4411	264	15	“	"	PUNCT
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cana-4411	264	17	of	of	ADP
cana-4411	264	18	non	non	ADJ
cana-4411	264	19	-	-	ADJ
cana-4411	264	20	fourier	fourier	ADJ
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cana-4411	264	23	theories	theory	NOUN
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cana-4411	264	27	-	-	PUNCT
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cana-4411	264	29	flow	flow	NOUN
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cana-4411	264	33	stress	stress	NOUN
cana-4411	264	34	exhibiting	exhibit	VERB
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cana-4411	264	36	model	model	NOUN
cana-4411	264	37	,	,	PUNCT
cana-4411	264	38	”	"	PUNCT
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cana-4411	264	40	.	.	PUNCT
cana-4411	265	1	a	a	DET
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cana-4411	265	3	.	.	PUNCT
cana-4411	266	1	mech	mech	PROPN
cana-4411	266	2	.	.	PUNCT
cana-4411	267	1	its	its	PRON
cana-4411	267	2	appl	appl	NOUN
cana-4411	267	3	.	.	PROPN
cana-4411	267	4	,	,	PUNCT
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cana-4411	267	8	,	,	PUNCT
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cana-4411	267	11	,	,	PUNCT
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cana-4411	267	13	,	,	PUNCT
cana-4411	267	14	doi	doi	NOUN
cana-4411	267	15	:	:	PUNCT
cana-4411	267	16	10.1016	10.1016	NUM
cana-4411	267	17	/	/	SYM
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cana-4411	267	19	.	.	PUNCT
cana-4411	268	1	communications	communication	NOUN
cana-4411	268	2	on	on	ADP
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cana-4411	268	4	nonlinear	nonlinear	ADJ
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cana-4411	268	6	issn	issn	NOUN
cana-4411	268	7	:	:	PUNCT
cana-4411	268	8	1074	1074	NUM
cana-4411	268	9	-	-	PUNCT
cana-4411	268	10	133x	133x	NUM
cana-4411	268	11	vol	vol	NOUN
cana-4411	268	12	31	31	NUM
cana-4411	268	13	no	no	NOUN
cana-4411	268	14	.	.	PUNCT
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cana-4411	269	2	(	(	PUNCT
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cana-4411	269	4	)	)	PUNCT
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cana-4411	270	1	[	[	X
cana-4411	270	2	18	18	NUM
cana-4411	270	3	]	]	PUNCT
cana-4411	270	4	j.	j.	PROPN
cana-4411	270	5	k.	k.	PROPN
cana-4411	270	6	singh	singh	PROPN
cana-4411	270	7	and	and	CCONJ
cana-4411	270	8	c.	c.	PROPN
cana-4411	270	9	t.	t.	PROPN
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cana-4411	270	11	,	,	PUNCT
cana-4411	270	12	“	"	PUNCT
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cana-4411	270	16	flow	flow	NOUN
cana-4411	270	17	of	of	ADP
cana-4411	270	18	a	a	DET
cana-4411	270	19	rotating	rotate	VERB
cana-4411	270	20	fluid	fluid	NOUN
cana-4411	270	21	past	past	ADP
cana-4411	270	22	an	an	DET
cana-4411	270	23	exponential	exponential	NOUN
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cana-4411	270	26	plate	plate	NOUN
cana-4411	270	27	with	with	ADP
cana-4411	270	28	hall	hall	PROPN
cana-4411	270	29	current	current	ADJ
cana-4411	270	30	,	,	PUNCT
cana-4411	270	31	ion	ion	NOUN
cana-4411	270	32	-	-	PUNCT
cana-4411	270	33	slip	slip	NOUN
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cana-4411	270	36	effect	effect	NOUN
cana-4411	270	37	,	,	PUNCT
cana-4411	270	38	”	"	PUNCT
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cana-4411	270	40	.	.	PUNCT
cana-4411	270	41	model	model	NOUN
cana-4411	270	42	.	.	PUNCT
cana-4411	271	1	mater	mater	NOUN
cana-4411	271	2	.	.	PUNCT
cana-4411	271	3	struct	struct	NOUN
cana-4411	271	4	.	.	PUNCT
cana-4411	271	5	,	,	PUNCT
cana-4411	271	6	vol	vol	NOUN
cana-4411	271	7	.	.	PROPN
cana-4411	272	1	14	14	NUM
cana-4411	272	2	,	,	PUNCT
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cana-4411	272	5	2	2	NUM
cana-4411	272	6	,	,	PUNCT
cana-4411	272	7	pp	pp	ADJ
cana-4411	272	8	.	.	PUNCT
cana-4411	273	1	216–235	216–235	NUM
cana-4411	273	2	,	,	PUNCT
cana-4411	273	3	2018	2018	NUM
cana-4411	273	4	,	,	PUNCT
cana-4411	273	5	doi	doi	NOUN
cana-4411	273	6	:	:	PUNCT
cana-4411	273	7	10.1108	10.1108	NUM
cana-4411	273	8	/	/	SYM
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cana-4411	273	10	-	-	PUNCT
cana-4411	273	11	0045	0045	NUM
cana-4411	273	12	.	.	PUNCT
cana-4411	274	1	[	[	X
cana-4411	274	2	19	19	NUM
cana-4411	274	3	]	]	PUNCT
cana-4411	274	4	k.	k.	PROPN
cana-4411	274	5	d.	d.	PROPN
cana-4411	274	6	singh	singh	PROPN
cana-4411	274	7	,	,	PUNCT
cana-4411	274	8	“	"	PUNCT
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cana-4411	274	11	hydromagnetic	hydromagnetic	ADJ
cana-4411	274	12	couette	couette	NOUN
cana-4411	274	13	flow	flow	NOUN
cana-4411	274	14	in	in	ADP
cana-4411	274	15	a	a	DET
cana-4411	274	16	rotating	rotate	VERB
cana-4411	274	17	system	system	NOUN
cana-4411	274	18	,	,	PUNCT
cana-4411	274	19	”	"	PUNCT
cana-4411	274	20	zamm	zamm	PROPN
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cana-4411	274	24	.	.	PUNCT
cana-4411	275	1	math	math	NOUN
cana-4411	275	2	.	.	PUNCT
cana-4411	276	1	und	und	PROPN
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cana-4411	276	3	.	.	PUNCT
cana-4411	277	1	,	,	PUNCT
cana-4411	277	2	vol	vol	NOUN
cana-4411	277	3	.	.	PROPN
cana-4411	278	1	80	80	NUM
cana-4411	278	2	,	,	PUNCT
cana-4411	278	3	no	no	INTJ
cana-4411	278	4	.	.	NOUN
cana-4411	278	5	6	6	NUM
cana-4411	278	6	,	,	PUNCT
cana-4411	278	7	pp	pp	ADJ
cana-4411	278	8	.	.	PUNCT
cana-4411	279	1	429–432	429–432	NUM
cana-4411	279	2	,	,	PUNCT
cana-4411	279	3	2000	2000	NUM
cana-4411	279	4	,	,	PUNCT
cana-4411	279	5	doi	doi	NOUN
cana-4411	279	6	:	:	PUNCT
cana-4411	279	7	10.1002/15214001(200006)80:6<429::aid	10.1002/15214001(200006)80:6<429::aid	PROPN
cana-4411	279	8	-	-	PUNCT
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cana-4411	279	10	-	-	PUNCT
cana-4411	279	11	1	1	NUM
cana-4411	279	12	.	.	PUNCT
cana-4411	280	1	[	[	X
cana-4411	280	2	20	20	NUM
cana-4411	280	3	]	]	X
cana-4411	280	4	v.	v.	CCONJ
cana-4411	280	5	aliakbar	aliakbar	ADJ
cana-4411	280	6	,	,	PUNCT
cana-4411	280	7	a.	a.	NOUN
cana-4411	280	8	alizadeh	alizadeh	NOUN
cana-4411	280	9	-	-	PUNCT
cana-4411	280	10	pahlavan	pahlavan	NOUN
cana-4411	280	11	,	,	PUNCT
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cana-4411	280	14	sadeghy	sadeghy	PROPN
cana-4411	280	15	,	,	PUNCT
cana-4411	280	16	“	"	PUNCT
cana-4411	280	17	the	the	DET
cana-4411	280	18	influence	influence	NOUN
cana-4411	280	19	of	of	ADP
cana-4411	280	20	thermal	thermal	ADJ
cana-4411	280	21	radiation	radiation	NOUN
cana-4411	280	22	on	on	ADP
cana-4411	280	23	mhd	mhd	NOUN
cana-4411	280	24	flow	flow	NOUN
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cana-4411	280	28	above	above	ADP
cana-4411	280	29	stretching	stretch	VERB
cana-4411	280	30	sheets	sheet	NOUN
cana-4411	280	31	,	,	PUNCT
cana-4411	280	32	”	"	PUNCT
cana-4411	280	33	commun	commun	PROPN
cana-4411	280	34	.	.	PUNCT
cana-4411	281	1	nonlinear	nonlinear	PROPN
cana-4411	281	2	sci	sci	PROPN
cana-4411	281	3	.	.	PUNCT
cana-4411	281	4	numer	numer	PROPN
cana-4411	281	5	.	.	PUNCT
cana-4411	282	1	simul	simul	PROPN
cana-4411	282	2	.	.	PROPN
cana-4411	282	3	,	,	PUNCT
cana-4411	282	4	vol	vol	NOUN
cana-4411	282	5	.	.	PROPN
cana-4411	283	1	14	14	NUM
cana-4411	283	2	,	,	PUNCT
cana-4411	283	3	no	no	INTJ
cana-4411	283	4	.	.	NOUN
cana-4411	283	5	3	3	NUM
cana-4411	283	6	,	,	PUNCT
cana-4411	283	7	pp	pp	ADJ
cana-4411	283	8	.	.	PUNCT
cana-4411	284	1	779–794	779–794	NUM
cana-4411	284	2	,	,	PUNCT
cana-4411	284	3	2009	2009	NUM
cana-4411	284	4	,	,	PUNCT
cana-4411	284	5	doi	doi	NOUN
cana-4411	284	6	:	:	PUNCT
cana-4411	284	7	10.1016	10.1016	NUM
cana-4411	284	8	/	/	SYM
cana-4411	284	9	j.cnsns.2007.12.003	j.cnsns.2007.12.003	PROPN
cana-4411	284	10	.	.	PUNCT