id	sid	tid	token	lemma	pos
cana-1513	1	1	communications	communication	NOUN
cana-1513	1	2	on	on	ADP
cana-1513	1	3	applied	apply	VERB
cana-1513	1	4	nonlinear	nonlinear	ADJ
cana-1513	1	5	analysis	analysis	NOUN
cana-1513	1	6	issn	issn	NOUN
cana-1513	1	7	:	:	PUNCT
cana-1513	1	8	1074	1074	NUM
cana-1513	1	9	-	-	PUNCT
cana-1513	1	10	133x	133x	NUM
cana-1513	1	11	vol	vol	NOUN
cana-1513	1	12	31	31	NUM
cana-1513	1	13	no	no	NOUN
cana-1513	1	14	.	.	PUNCT
cana-1513	2	1	8s	8s	PROPN
cana-1513	2	2	(	(	PUNCT
cana-1513	2	3	2024	2024	NUM
cana-1513	2	4	)	)	PUNCT
cana-1513	2	5	365	365	NUM
cana-1513	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	2	7	dufour	dufour	PROPN
cana-1513	2	8	effects	effect	NOUN
cana-1513	2	9	on	on	ADP
cana-1513	2	10	unstable	unstable	ADJ
cana-1513	2	11	mhd	mhd	NOUN
cana-1513	2	12	viscoelastic	viscoelastic	ADJ
cana-1513	2	13	fluid	fluid	NOUN
cana-1513	2	14	flow	flow	NOUN
cana-1513	2	15	in	in	ADP
cana-1513	2	16	porous	porous	ADJ
cana-1513	2	17	vertical	vertical	ADJ
cana-1513	2	18	media	medium	NOUN
cana-1513	2	19	current	current	ADJ
cana-1513	2	20	pressure	pressure	NOUN
cana-1513	2	21	gradient	gradient	NOUN
cana-1513	2	22	s.	s.	PROPN
cana-1513	2	23	kesavarani1	kesavarani1	PROPN
cana-1513	2	24	,	,	PUNCT
cana-1513	2	25	s.	s.	PROPN
cana-1513	2	26	lakshmi	lakshmi	PROPN
cana-1513	2	27	priya2	priya2	PROPN
cana-1513	3	1	1department	1department	NUM
cana-1513	3	2	of	of	ADP
cana-1513	3	3	mathematics	mathematic	NOUN
cana-1513	3	4	,	,	PUNCT
cana-1513	3	5	srm	srm	PROPN
cana-1513	3	6	institute	institute	PROPN
cana-1513	3	7	of	of	ADP
cana-1513	3	8	science	science	NOUN
cana-1513	3	9	and	and	CCONJ
cana-1513	3	10	technology	technology	NOUN
cana-1513	3	11	,	,	PUNCT
cana-1513	3	12	kattankulathur	kattankulathur	PROPN
cana-1513	3	13	,	,	PUNCT
cana-1513	3	14	chengalpattu	chengalpattu	ADV
cana-1513	3	15	,	,	PUNCT
cana-1513	3	16	tamil	tamil	PROPN
cana-1513	3	17	nadu	nadu	PROPN
cana-1513	3	18	603203	603203	NUM
cana-1513	3	19	.	.	PUNCT
cana-1513	4	1	g	g	NOUN
cana-1513	4	2	-	-	PUNCT
cana-1513	4	3	mail	mail	NOUN
cana-1513	4	4	:	:	PUNCT
cana-1513	4	5	ks0756@srmist.edu.in	ks0756@srmist.edu.in	PROPN
cana-1513	4	6	2department	2department	NUM
cana-1513	4	7	of	of	ADP
cana-1513	4	8	mathematics	mathematic	NOUN
cana-1513	4	9	,	,	PUNCT
cana-1513	4	10	srm	srm	PROPN
cana-1513	4	11	institute	institute	PROPN
cana-1513	4	12	of	of	ADP
cana-1513	4	13	science	science	NOUN
cana-1513	4	14	and	and	CCONJ
cana-1513	4	15	technology	technology	NOUN
cana-1513	4	16	,	,	PUNCT
cana-1513	4	17	kattankulathur	kattankulathur	PROPN
cana-1513	4	18	,	,	PUNCT
cana-1513	4	19	chengalpattu	chengalpattu	ADV
cana-1513	4	20	,	,	PUNCT
cana-1513	4	21	tamil	tamil	PROPN
cana-1513	4	22	nadu	nadu	PROPN
cana-1513	4	23	603203	603203	NUM
cana-1513	4	24	.	.	PUNCT
cana-1513	5	1	g	g	NOUN
cana-1513	5	2	-	-	PUNCT
cana-1513	5	3	mail	mail	NOUN
cana-1513	5	4	:	:	PUNCT
cana-1513	5	5	lakshmis3@srmist.edu.in	lakshmis3@srmist.edu.in	PROPN
cana-1513	6	1	article	article	NOUN
cana-1513	6	2	history	history	NOUN
cana-1513	6	3	:	:	PUNCT
cana-1513	6	4	received	receive	VERB
cana-1513	6	5	:	:	PUNCT
cana-1513	6	6	04	04	NUM
cana-1513	6	7	-	-	PUNCT
cana-1513	6	8	05	05	NUM
cana-1513	6	9	-	-	PUNCT
cana-1513	6	10	2024	2024	NUM
cana-1513	6	11	revised	revise	VERB
cana-1513	6	12	:	:	PUNCT
cana-1513	6	13	26	26	NUM
cana-1513	6	14	-	-	SYM
cana-1513	6	15	06	06	NUM
cana-1513	6	16	-	-	PUNCT
cana-1513	6	17	2024	2024	NUM
cana-1513	6	18	accepted	accept	VERB
cana-1513	6	19	:	:	PUNCT
cana-1513	6	20	06	06	NUM
cana-1513	6	21	-	-	SYM
cana-1513	6	22	07	07	NUM
cana-1513	6	23	-	-	PUNCT
cana-1513	6	24	2024	2024	NUM
cana-1513	6	25	abstract	abstract	NOUN
cana-1513	6	26	this	this	DET
cana-1513	6	27	specific	specific	ADJ
cana-1513	6	28	investigation	investigation	NOUN
cana-1513	6	29	analyses	analyse	VERB
cana-1513	6	30	dufour	dufour	PROPN
cana-1513	6	31	effect	effect	NOUN
cana-1513	6	32	in	in	ADP
cana-1513	6	33	the	the	DET
cana-1513	6	34	context	context	NOUN
cana-1513	6	35	of	of	ADP
cana-1513	6	36	free	free	ADJ
cana-1513	6	37	flow	flow	NOUN
cana-1513	6	38	within	within	ADP
cana-1513	6	39	vertical	vertical	ADJ
cana-1513	6	40	porous	porous	ADJ
cana-1513	6	41	media	medium	NOUN
cana-1513	6	42	and	and	CCONJ
cana-1513	6	43	unstable	unstable	ADJ
cana-1513	6	44	mhd	mhd	NOUN
cana-1513	6	45	(	(	PUNCT
cana-1513	6	46	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1513	6	47	)	)	PUNCT
cana-1513	6	48	.	.	PUNCT
cana-1513	7	1	we	we	PRON
cana-1513	7	2	explore	explore	VERB
cana-1513	7	3	various	various	ADJ
cana-1513	7	4	effects	effect	NOUN
cana-1513	7	5	,	,	PUNCT
cana-1513	7	6	including	include	VERB
cana-1513	7	7	dufour	dufour	PROPN
cana-1513	7	8	,	,	PUNCT
cana-1513	7	9	radiation	radiation	NOUN
cana-1513	7	10	,	,	PUNCT
cana-1513	7	11	and	and	CCONJ
cana-1513	7	12	radiation	radiation	NOUN
cana-1513	7	13	chemical	chemical	NOUN
cana-1513	7	14	reactions	reaction	NOUN
cana-1513	7	15	.	.	PUNCT
cana-1513	8	1	we	we	PRON
cana-1513	8	2	convert	convert	VERB
cana-1513	8	3	the	the	DET
cana-1513	8	4	flow	flow	NOUN
cana-1513	8	5	equations	equation	NOUN
cana-1513	8	6	into	into	ADP
cana-1513	8	7	differential	differential	ADJ
cana-1513	8	8	equations	equation	NOUN
cana-1513	8	9	using	use	VERB
cana-1513	8	10	specific	specific	ADJ
cana-1513	8	11	parameters	parameter	NOUN
cana-1513	8	12	and	and	CCONJ
cana-1513	8	13	employ	employ	VERB
cana-1513	8	14	the	the	DET
cana-1513	8	15	perturbation	perturbation	NOUN
cana-1513	8	16	method	method	NOUN
cana-1513	8	17	with	with	ADP
cana-1513	8	18	sliding	slide	VERB
cana-1513	8	19	boundary	boundary	ADJ
cana-1513	8	20	conditions	condition	NOUN
cana-1513	8	21	to	to	PART
cana-1513	8	22	solve	solve	VERB
cana-1513	8	23	the	the	DET
cana-1513	8	24	problem	problem	NOUN
cana-1513	8	25	.	.	PUNCT
cana-1513	9	1	we	we	PRON
cana-1513	9	2	investigate	investigate	VERB
cana-1513	9	3	differential	differential	ADJ
cana-1513	9	4	parameters	parameter	NOUN
cana-1513	9	5	for	for	ADP
cana-1513	9	6	the	the	DET
cana-1513	9	7	temperature	temperature	NOUN
cana-1513	9	8	,	,	PUNCT
cana-1513	9	9	velocity	velocity	NOUN
cana-1513	9	10	and	and	CCONJ
cana-1513	9	11	concentration	concentration	NOUN
cana-1513	9	12	distributions	distribution	NOUN
cana-1513	9	13	,	,	PUNCT
cana-1513	9	14	including	include	VERB
cana-1513	9	15	grashoff	grashoff	ADJ
cana-1513	9	16	numbers	number	NOUN
cana-1513	9	17	of	of	ADP
cana-1513	9	18	mass	mass	NOUN
cana-1513	9	19	and	and	CCONJ
cana-1513	9	20	temperature	temperature	NOUN
cana-1513	9	21	transfer	transfer	NOUN
cana-1513	9	22	,	,	PUNCT
cana-1513	9	23	as	as	ADV
cana-1513	9	24	well	well	ADV
cana-1513	9	25	as	as	ADP
cana-1513	9	26	the	the	DET
cana-1513	9	27	schmidt	schmidt	ADJ
cana-1513	9	28	number	number	NOUN
cana-1513	9	29	.	.	PUNCT
cana-1513	10	1	additionally	additionally	ADV
cana-1513	10	2	,	,	PUNCT
cana-1513	10	3	we	we	PRON
cana-1513	10	4	demonstrate	demonstrate	VERB
cana-1513	10	5	how	how	SCONJ
cana-1513	10	6	to	to	PART
cana-1513	10	7	analyse	analyse	VERB
cana-1513	10	8	the	the	DET
cana-1513	10	9	problem	problem	NOUN
cana-1513	10	10	using	use	VERB
cana-1513	10	11	matlab	matlab	PROPN
cana-1513	10	12	.	.	PUNCT
cana-1513	11	1	further	further	ADJ
cana-1513	11	2	research	research	NOUN
cana-1513	11	3	is	be	AUX
cana-1513	11	4	needed	need	VERB
cana-1513	11	5	to	to	PART
cana-1513	11	6	delve	delve	VERB
cana-1513	11	7	into	into	ADP
cana-1513	11	8	the	the	DET
cana-1513	11	9	effects	effect	NOUN
cana-1513	11	10	of	of	ADP
cana-1513	11	11	the	the	DET
cana-1513	11	12	soret	soret	NOUN
cana-1513	11	13	effect	effect	NOUN
cana-1513	11	14	.	.	PUNCT
cana-1513	12	1	keywords	keyword	NOUN
cana-1513	12	2	:	:	PUNCT
cana-1513	12	3	mhd	mhd	NOUN
cana-1513	12	4	;	;	PUNCT
cana-1513	12	5	invasion	invasion	NOUN
cana-1513	12	6	of	of	ADP
cana-1513	12	7	the	the	DET
cana-1513	12	8	media	medium	NOUN
cana-1513	12	9	;	;	PUNCT
cana-1513	12	10	heat	heat	NOUN
cana-1513	12	11	sources	source	NOUN
cana-1513	12	12	;	;	PUNCT
cana-1513	12	13	antidote	antidote	VERB
cana-1513	12	14	;	;	PUNCT
cana-1513	12	15	occupy	occupy	VERB
cana-1513	12	16	media	medium	NOUN
cana-1513	12	17	;	;	PUNCT
cana-1513	12	18	dufour	dufour	PROPN
cana-1513	12	19	.	.	PROPN
cana-1513	13	1	1	1	X
cana-1513	13	2	.	.	X
cana-1513	13	3	introduction	introduction	NOUN
cana-1513	13	4	the	the	DET
cana-1513	13	5	research	research	NOUN
cana-1513	13	6	focuses	focus	VERB
cana-1513	13	7	on	on	ADP
cana-1513	13	8	unstable	unstable	ADJ
cana-1513	13	9	materials	material	NOUN
cana-1513	13	10	in	in	ADP
cana-1513	13	11	the	the	DET
cana-1513	13	12	presence	presence	NOUN
cana-1513	13	13	of	of	ADP
cana-1513	13	14	vertical	vertical	ADJ
cana-1513	13	15	perforated	perforate	VERB
cana-1513	13	16	plates	plate	NOUN
cana-1513	13	17	,	,	PUNCT
cana-1513	13	18	considering	consider	VERB
cana-1513	13	19	various	various	ADJ
cana-1513	13	20	factors	factor	NOUN
cana-1513	13	21	such	such	ADJ
cana-1513	13	22	as	as	ADP
cana-1513	13	23	thermal	thermal	ADJ
cana-1513	13	24	explosions	explosion	NOUN
cana-1513	13	25	,	,	PUNCT
cana-1513	13	26	chemical	chemical	NOUN
cana-1513	13	27	reactions	reaction	NOUN
cana-1513	13	28	,	,	PUNCT
cana-1513	13	29	continuous	continuous	ADJ
cana-1513	13	30	absorption	absorption	NOUN
cana-1513	13	31	,	,	PUNCT
cana-1513	13	32	and	and	CCONJ
cana-1513	13	33	mhd	mhd	NOUN
cana-1513	13	34	effects	effect	NOUN
cana-1513	13	35	.	.	PUNCT
cana-1513	14	1	changes	change	NOUN
cana-1513	14	2	in	in	ADP
cana-1513	14	3	unstable	unstable	ADJ
cana-1513	14	4	materials	material	NOUN
cana-1513	14	5	m.l	m.l	PROPN
cana-1513	14	6	.	.	PROPN
cana-1513	14	7	ramamohan	ramamohan	PROPN
cana-1513	14	8	reddy	reddy	PROPN
cana-1513	14	9	vertical	vertical	ADJ
cana-1513	14	10	perforated	perforate	VERB
cana-1513	14	11	plates	plate	NOUN
cana-1513	14	12	[	[	X
cana-1513	14	13	1	1	NUM
cana-1513	14	14	]	]	PUNCT
cana-1513	14	15	.	.	PUNCT
cana-1513	15	1	in	in	ADP
cana-1513	15	2	the	the	DET
cana-1513	15	3	light	light	NOUN
cana-1513	15	4	of	of	ADP
cana-1513	15	5	thermal	thermal	ADJ
cana-1513	15	6	explosion	explosion	NOUN
cana-1513	15	7	,	,	PUNCT
cana-1513	15	8	continuous	continuous	ADJ
cana-1513	15	9	absorption	absorption	NOUN
cana-1513	15	10	and	and	CCONJ
cana-1513	15	11	chemical	chemical	NOUN
cana-1513	15	12	reactions	reaction	NOUN
cana-1513	15	13	,	,	PUNCT
cana-1513	15	14	m.c	m.c	PROPN
cana-1513	15	15	.	.	PROPN
cana-1513	15	16	raju	raju	PROPN
cana-1513	16	1	[	[	X
cana-1513	16	2	3	3	NUM
cana-1513	16	3	]	]	PUNCT
cana-1513	16	4	studied	study	VERB
cana-1513	16	5	mhd	mhd	NOUN
cana-1513	16	6	free	free	ADJ
cana-1513	16	7	convection	convection	NOUN
cana-1513	16	8	and	and	CCONJ
cana-1513	16	9	diffusion	diffusion	NOUN
cana-1513	16	10	boundary	boundary	NOUN
cana-1513	16	11	layered	layered	ADJ
cana-1513	16	12	flow	flow	NOUN
cana-1513	16	13	on	on	ADP
cana-1513	16	14	a	a	DET
cana-1513	16	15	permeable	permeable	ADJ
cana-1513	16	16	vertical	vertical	ADJ
cana-1513	16	17	surface	surface	NOUN
cana-1513	16	18	.	.	PUNCT
cana-1513	17	1	mohanty	mohanty	PROPN
cana-1513	17	2	studied	study	VERB
cana-1513	17	3	the	the	DET
cana-1513	17	4	mhd	mhd	NOUN
cana-1513	17	5	flow	flow	NOUN
cana-1513	17	6	of	of	ADP
cana-1513	17	7	the	the	DET
cana-1513	17	8	viscoelastic	viscoelastic	ADJ
cana-1513	17	9	fluid	fluid	NOUN
cana-1513	17	10	through	through	ADP
cana-1513	17	11	heterogeneous	heterogeneous	ADJ
cana-1513	17	12	permeable	permeable	ADJ
cana-1513	17	13	media	medium	NOUN
cana-1513	17	14	along	along	ADP
cana-1513	17	15	with	with	ADP
cana-1513	17	16	heat	heat	NOUN
cana-1513	17	17	source	source	NOUN
cana-1513	17	18	and	and	CCONJ
cana-1513	17	19	oscillating	oscillate	VERB
cana-1513	17	20	suction	suction	NOUN
cana-1513	17	21	[	[	X
cana-1513	17	22	4	4	NUM
cana-1513	17	23	]	]	PUNCT
cana-1513	17	24	.	.	PUNCT
cana-1513	18	1	deka	deka	PROPN
cana-1513	19	1	[	[	X
cana-1513	19	2	5	5	NUM
cana-1513	19	3	]	]	PUNCT
cana-1513	19	4	found	find	VERB
cana-1513	19	5	thermal	thermal	ADJ
cana-1513	19	6	diffraction	diffraction	NOUN
cana-1513	19	7	in	in	ADP
cana-1513	19	8	a	a	DET
cana-1513	19	9	vertically	vertically	ADV
cana-1513	19	10	oscillating	oscillate	VERB
cana-1513	19	11	plate	plate	NOUN
cana-1513	19	12	and	and	CCONJ
cana-1513	19	13	also	also	ADV
cana-1513	19	14	turbulent	turbulent	ADJ
cana-1513	19	15	mhd	mhd	NOUN
cana-1513	19	16	flow	flow	NOUN
cana-1513	19	17	different	different	ADJ
cana-1513	19	18	from	from	ADP
cana-1513	19	19	mass	mass	ADJ
cana-1513	19	20	distribution	distribution	NOUN
cana-1513	19	21	.	.	PUNCT
cana-1513	20	1	the	the	DET
cana-1513	20	2	unstable	unstable	ADJ
cana-1513	20	3	mhd	mhd	NOUN
cana-1513	20	4	double	double	ADJ
cana-1513	20	5	diffusion	diffusion	NOUN
cana-1513	20	6	convective	convective	ADJ
cana-1513	20	7	boundary	boundary	ADJ
cana-1513	20	8	layer	layer	NOUN
cana-1513	20	9	passes	pass	VERB
cana-1513	20	10	vertically	vertically	ADV
cana-1513	20	11	through	through	ADP
cana-1513	20	12	the	the	DET
cana-1513	20	13	chemical	chemical	NOUN
cana-1513	20	14	material	material	NOUN
cana-1513	20	15	and	and	CCONJ
cana-1513	20	16	dissipates	dissipate	VERB
cana-1513	20	17	heat	heat	NOUN
cana-1513	20	18	.	.	PUNCT
cana-1513	21	1	r.	r.	PROPN
cana-1513	21	2	a.	a.	PROPN
cana-1513	21	3	mohamed	mohamed	PROPN
cana-1513	21	4	studied	study	VERB
cana-1513	21	5	radiators	radiator	NOUN
cana-1513	21	6	[	[	X
cana-1513	21	7	6	6	NUM
cana-1513	21	8	]	]	PUNCT
cana-1513	21	9	.	.	PUNCT
cana-1513	22	1	r.	r.	PROPN
cana-1513	22	2	kandasamy	kandasamy	PROPN
cana-1513	23	1	[	[	X
cana-1513	23	2	7	7	NUM
cana-1513	23	3	]	]	PUNCT
cana-1513	23	4	investigated	investigate	VERB
cana-1513	23	5	the	the	DET
cana-1513	23	6	effect	effect	NOUN
cana-1513	23	7	of	of	ADP
cana-1513	23	8	chemical	chemical	NOUN
cana-1513	23	9	,	,	PUNCT
cana-1513	23	10	electricity	electricity	NOUN
cana-1513	23	11	generation	generation	NOUN
cana-1513	23	12	and	and	CCONJ
cana-1513	23	13	air	air	NOUN
cana-1513	23	14	movement	movement	NOUN
cana-1513	23	15	,	,	PUNCT
cana-1513	23	16	and	and	CCONJ
cana-1513	23	17	temperature	temperature	NOUN
cana-1513	23	18	in	in	ADP
cana-1513	23	19	the	the	DET
cana-1513	23	20	light	light	NOUN
cana-1513	23	21	of	of	ADP
cana-1513	23	22	suction	suction	NOUN
cana-1513	23	23	or	or	CCONJ
cana-1513	23	24	injection	injection	NOUN
cana-1513	23	25	.	.	PUNCT
cana-1513	24	1	m.	m.	NOUN
cana-1513	24	2	umamaheswar	umamaheswar	ADJ
cana-1513	24	3	[	[	X
cana-1513	24	4	8	8	NUM
cana-1513	24	5	]	]	PUNCT
cana-1513	24	6	investigates	investigate	VERB
cana-1513	24	7	mhd	mhd	VERB
cana-1513	24	8	free	free	ADJ
cana-1513	24	9	convection	convection	NOUN
cana-1513	24	10	viscoelastic	viscoelastic	NOUN
cana-1513	24	11	fluid	fluid	NOUN
cana-1513	24	12	flow	flow	NOUN
cana-1513	24	13	confined	confine	VERB
cana-1513	24	14	by	by	ADP
cana-1513	24	15	infinitely	infinitely	ADV
cana-1513	24	16	fine	fine	ADJ
cana-1513	24	17	curved	curved	ADJ
cana-1513	24	18	perforated	perforate	VERB
cana-1513	24	19	plate	plate	NOUN
cana-1513	24	20	in	in	ADP
cana-1513	24	21	a	a	DET
cana-1513	24	22	thermal	thermal	ADJ
cana-1513	24	23	source	source	NOUN
cana-1513	24	24	viscous	viscous	ADJ
cana-1513	24	25	dispersion	dispersion	NOUN
cana-1513	24	26	,	,	PUNCT
cana-1513	24	27	and	and	CCONJ
cana-1513	24	28	joule	joule	PROPN
cana-1513	24	29	heating	heating	NOUN
cana-1513	24	30	.	.	PUNCT
cana-1513	25	1	murali	murali	PROPN
cana-1513	25	2	gundagani	gundagani	PROPN
cana-1513	25	3	described	describe	VERB
cana-1513	25	4	unstable	unstable	ADJ
cana-1513	25	5	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1513	25	6	free	free	ADJ
cana-1513	25	7	convection	convection	NOUN
cana-1513	25	8	along	along	ADP
cana-1513	25	9	a	a	DET
cana-1513	25	10	perforated	perforate	VERB
cana-1513	25	11	vertical	vertical	ADJ
cana-1513	25	12	plate	plate	NOUN
cana-1513	25	13	[	[	X
cana-1513	25	14	9	9	NUM
cana-1513	25	15	]	]	PUNCT
cana-1513	25	16	.	.	PUNCT
cana-1513	26	1	j.	j.	PROPN
cana-1513	26	2	i.	i.	PROPN
cana-1513	26	3	oahimire	oahimire	PROPN
cana-1513	27	1	[	[	X
cana-1513	27	2	10	10	NUM
cana-1513	27	3	]	]	PUNCT
cana-1513	27	4	studied	study	VERB
cana-1513	27	5	the	the	DET
cana-1513	27	6	magnetic	magnetic	ADJ
cana-1513	27	7	flux	flux	NOUN
cana-1513	27	8	at	at	ADP
cana-1513	27	9	the	the	DET
cana-1513	27	10	stagnation	stagnation	NOUN
cana-1513	27	11	point	point	NOUN
cana-1513	27	12	of	of	ADP
cana-1513	27	13	starch	starch	NOUN
cana-1513	27	14	with	with	ADP
cana-1513	27	15	different	different	ADJ
cana-1513	27	16	thermal	thermal	ADJ
cana-1513	27	17	conductivities	conductivity	NOUN
cana-1513	27	18	and	and	CCONJ
cana-1513	27	19	heat	heat	NOUN
cana-1513	27	20	sinks	sink	NOUN
cana-1513	27	21	.	.	PUNCT
cana-1513	28	1	s.	s.	PROPN
cana-1513	28	2	sreenadh	sreenadh	PROPN
cana-1513	29	1	[	[	X
cana-1513	29	2	11	11	NUM
cana-1513	29	3	]	]	PUNCT
cana-1513	29	4	studied	study	VERB
cana-1513	29	5	the	the	DET
cana-1513	29	6	effect	effect	NOUN
cana-1513	29	7	of	of	ADP
cana-1513	29	8	cutting	cut	VERB
cana-1513	29	9	and	and	CCONJ
cana-1513	29	10	transferring	transfer	VERB
cana-1513	29	11	electricity	electricity	NOUN
cana-1513	29	12	by	by	ADP
cana-1513	29	13	placing	place	VERB
cana-1513	29	14	williamson	williamson	PROPN
cana-1513	29	15	fluid	fluid	NOUN
cana-1513	29	16	in	in	ADP
cana-1513	29	17	an	an	DET
cana-1513	29	18	inclined	inclined	ADJ
cana-1513	29	19	column	column	NOUN
cana-1513	29	20	using	use	VERB
cana-1513	29	21	peristalsis	peristalsis	NOUN
cana-1513	29	22	.	.	PUNCT
cana-1513	30	1	b.	b.	PROPN
cana-1513	30	2	communications	communication	NOUN
cana-1513	30	3	on	on	ADP
cana-1513	30	4	applied	apply	VERB
cana-1513	30	5	nonlinear	nonlinear	ADJ
cana-1513	30	6	analysis	analysis	NOUN
cana-1513	30	7	issn	issn	NOUN
cana-1513	30	8	:	:	PUNCT
cana-1513	30	9	1074	1074	NUM
cana-1513	30	10	-	-	PUNCT
cana-1513	30	11	133x	133x	NUM
cana-1513	30	12	vol	vol	NOUN
cana-1513	30	13	31	31	NUM
cana-1513	30	14	no	no	NOUN
cana-1513	30	15	.	.	PUNCT
cana-1513	31	1	8s	8s	PROPN
cana-1513	31	2	(	(	PUNCT
cana-1513	31	3	2024	2024	NUM
cana-1513	31	4	)	)	PUNCT
cana-1513	31	5	366	366	NUM
cana-1513	31	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	31	7	mamatha	mamatha	NOUN
cana-1513	31	8	examined	examine	VERB
cana-1513	31	9	the	the	DET
cana-1513	31	10	micro	micro	ADJ
cana-1513	31	11	-	-	ADJ
cana-1513	31	12	polar	polar	ADJ
cana-1513	31	13	fluid	fluid	NOUN
cana-1513	31	14	through	through	ADP
cana-1513	31	15	partial	partial	ADJ
cana-1513	31	16	absorption	absorption	NOUN
cana-1513	31	17	cracks	crack	NOUN
cana-1513	31	18	in	in	ADP
cana-1513	31	19	an	an	DET
cana-1513	31	20	unstable	unstable	ADJ
cana-1513	31	21	mhd	mhd	NOUN
cana-1513	31	22	mixed	mixed	ADJ
cana-1513	31	23	convective	convective	NOUN
cana-1513	31	24	radiative	radiative	ADJ
cana-1513	31	25	boundary	boundary	ADJ
cana-1513	31	26	layer	layer	NOUN
cana-1513	32	1	[	[	X
cana-1513	32	2	12	12	NUM
cana-1513	32	3	]	]	PUNCT
cana-1513	32	4	.	.	PUNCT
cana-1513	33	1	k.v.s	k.v.s	PROPN
cana-1513	33	2	.	.	PROPN
cana-1513	33	3	raj	raj	PROPN
cana-1513	33	4	found	find	VERB
cana-1513	33	5	that	that	SCONJ
cana-1513	33	6	free	free	ADJ
cana-1513	33	7	heat	heat	NOUN
cana-1513	33	8	and	and	CCONJ
cana-1513	33	9	air	air	NOUN
cana-1513	33	10	exchange	exchange	NOUN
cana-1513	33	11	in	in	ADP
cana-1513	33	12	a	a	DET
cana-1513	33	13	vertical	vertical	ADJ
cana-1513	33	14	grid	grid	NOUN
cana-1513	33	15	is	be	AUX
cana-1513	33	16	very	very	ADV
cana-1513	33	17	fast	fast	ADJ
cana-1513	33	18	with	with	ADP
cana-1513	33	19	newtonian	newtonian	ADJ
cana-1513	33	20	heat	heat	NOUN
cana-1513	33	21	[	[	X
cana-1513	33	22	13	13	NUM
cana-1513	33	23	]	]	PUNCT
cana-1513	33	24	.	.	PUNCT
cana-1513	34	1	hot	hot	ADJ
cana-1513	34	2	substances	substance	NOUN
cana-1513	34	3	such	such	ADJ
cana-1513	34	4	as	as	ADP
cana-1513	34	5	gas	gas	NOUN
cana-1513	34	6	sometimes	sometimes	ADV
cana-1513	34	7	ionize	ionize	VERB
cana-1513	34	8	and	and	CCONJ
cana-1513	34	9	are	be	AUX
cana-1513	34	10	highly	highly	ADV
cana-1513	34	11	charged	charge	VERB
cana-1513	34	12	.	.	PUNCT
cana-1513	35	1	magnetic	magnetic	ADJ
cana-1513	35	2	fields	field	NOUN
cana-1513	35	3	interact	interact	VERB
cana-1513	35	4	with	with	ADP
cana-1513	35	5	the	the	DET
cana-1513	35	6	ionized	ionized	ADJ
cana-1513	35	7	plasma	plasma	NOUN
cana-1513	35	8	or	or	CCONJ
cana-1513	35	9	liquid	liquid	NOUN
cana-1513	35	10	,	,	PUNCT
cana-1513	35	11	causing	cause	VERB
cana-1513	35	12	changes	change	NOUN
cana-1513	35	13	in	in	ADP
cana-1513	35	14	heat	heat	NOUN
cana-1513	35	15	and	and	CCONJ
cana-1513	35	16	friction	friction	NOUN
cana-1513	35	17	.	.	PUNCT
cana-1513	36	1	since	since	SCONJ
cana-1513	36	2	some	some	DET
cana-1513	36	3	liquids	liquid	NOUN
cana-1513	36	4	can	can	AUX
cana-1513	36	5	do	do	VERB
cana-1513	36	6	two	two	NUM
cana-1513	36	7	jobs	job	NOUN
cana-1513	36	8	,	,	PUNCT
cana-1513	36	9	it	it	PRON
cana-1513	36	10	is	be	AUX
cana-1513	36	11	interesting	interesting	ADJ
cana-1513	36	12	to	to	PART
cana-1513	36	13	see	see	VERB
cana-1513	36	14	how	how	SCONJ
cana-1513	36	15	the	the	DET
cana-1513	36	16	magnetic	magnetic	ADJ
cana-1513	36	17	field	field	NOUN
cana-1513	36	18	is	be	AUX
cana-1513	36	19	affected	affect	VERB
cana-1513	36	20	by	by	ADP
cana-1513	36	21	temperature	temperature	NOUN
cana-1513	36	22	changes	change	NOUN
cana-1513	36	23	when	when	SCONJ
cana-1513	36	24	the	the	DET
cana-1513	36	25	liquid	liquid	NOUN
cana-1513	36	26	is	be	AUX
cana-1513	36	27	an	an	DET
cana-1513	36	28	electric	electric	ADJ
cana-1513	36	29	current	current	ADJ
cana-1513	36	30	,	,	PUNCT
cana-1513	36	31	current	current	ADJ
cana-1513	36	32	,	,	PUNCT
cana-1513	36	33	and	and	CCONJ
cana-1513	36	34	emitter	emitter	NOUN
cana-1513	36	35	.	.	PUNCT
cana-1513	37	1	since	since	SCONJ
cana-1513	37	2	,	,	PUNCT
cana-1513	37	3	the	the	DET
cana-1513	37	4	chemical	chemical	NOUN
cana-1513	37	5	industry	industry	NOUN
cana-1513	37	6	increases	increase	VERB
cana-1513	37	7	the	the	DET
cana-1513	37	8	reaction	reaction	NOUN
cana-1513	37	9	rate	rate	NOUN
cana-1513	37	10	,	,	PUNCT
cana-1513	37	11	more	more	ADJ
cana-1513	37	12	care	care	NOUN
cana-1513	37	13	must	must	AUX
cana-1513	37	14	be	be	AUX
cana-1513	37	15	taken	take	VERB
cana-1513	37	16	when	when	SCONJ
cana-1513	37	17	controlling	control	VERB
cana-1513	37	18	the	the	DET
cana-1513	37	19	heat	heat	NOUN
cana-1513	37	20	and	and	CCONJ
cana-1513	37	21	air	air	NOUN
cana-1513	37	22	changes	change	NOUN
cana-1513	37	23	in	in	ADP
cana-1513	37	24	the	the	DET
cana-1513	37	25	chemical	chemical	NOUN
cana-1513	37	26	process	process	NOUN
cana-1513	37	27	.	.	PUNCT
cana-1513	38	1	v.	v.	ADP
cana-1513	38	2	rajesh	rajesh	PROPN
cana-1513	39	1	[	[	X
cana-1513	39	2	14	14	NUM
cana-1513	39	3	]	]	PUNCT
cana-1513	39	4	examined	examine	VERB
cana-1513	39	5	the	the	DET
cana-1513	39	6	effect	effect	NOUN
cana-1513	39	7	of	of	ADP
cana-1513	39	8	thermal	thermal	ADJ
cana-1513	39	9	source	source	NOUN
cana-1513	39	10	along	along	ADP
cana-1513	39	11	with	with	ADP
cana-1513	39	12	surface	surface	NOUN
cana-1513	39	13	quality	quality	NOUN
cana-1513	39	14	on	on	ADP
cana-1513	39	15	the	the	DET
cana-1513	39	16	elastoviscous	elastoviscous	ADJ
cana-1513	39	17	mhd	mhd	NOUN
cana-1513	39	18	flow	flow	NOUN
cana-1513	39	19	in	in	ADP
cana-1513	39	20	perforated	perforated	ADJ
cana-1513	39	21	plate	plate	NOUN
cana-1513	39	22	.	.	PUNCT
cana-1513	40	1	s.f	s.f	PROPN
cana-1513	40	2	.	.	PROPN
cana-1513	40	3	ahmed	ahmed	PROPN
cana-1513	40	4	studied	study	VERB
cana-1513	40	5	the	the	DET
cana-1513	40	6	impact	impact	NOUN
cana-1513	40	7	of	of	ADP
cana-1513	40	8	unstable	unstable	ADJ
cana-1513	40	9	mhd	mhd	NOUN
cana-1513	40	10	natural	natural	ADJ
cana-1513	40	11	convection	convection	NOUN
cana-1513	40	12	on	on	ADP
cana-1513	40	13	mass	mass	ADJ
cana-1513	40	14	transfer	transfer	NOUN
cana-1513	40	15	in	in	ADP
cana-1513	40	16	perforated	perforated	ADJ
cana-1513	40	17	plate	plate	NOUN
cana-1513	40	18	that	that	PRON
cana-1513	40	19	is	be	AUX
cana-1513	40	20	vertical	vertical	ADJ
cana-1513	40	21	[	[	X
cana-1513	40	22	15	15	NUM
cana-1513	40	23	]	]	PUNCT
cana-1513	40	24	.	.	PUNCT
cana-1513	41	1	mondal	mondal	PROPN
cana-1513	42	1	[	[	X
cana-1513	42	2	16	16	NUM
cana-1513	42	3	]	]	PUNCT
cana-1513	42	4	studied	study	VERB
cana-1513	42	5	the	the	DET
cana-1513	42	6	electrical	electrical	ADJ
cana-1513	42	7	and	and	CCONJ
cana-1513	42	8	chemical	chemical	NOUN
cana-1513	42	9	properties	property	NOUN
cana-1513	42	10	of	of	ADP
cana-1513	42	11	mhd	mhd	X
cana-1513	42	12	free	free	ADJ
cana-1513	42	13	convection	convection	NOUN
cana-1513	42	14	through	through	ADP
cana-1513	42	15	plates	plate	NOUN
cana-1513	42	16	of	of	ADP
cana-1513	42	17	vertical	vertical	ADJ
cana-1513	42	18	porous	porous	ADJ
cana-1513	42	19	material	material	NOUN
cana-1513	42	20	.	.	PUNCT
cana-1513	43	1	mangali	mangali	VERB
cana-1513	43	2	veerakrishna	veerakrishna	NOUN
cana-1513	44	1	[	[	X
cana-1513	44	2	17	17	NUM
cana-1513	44	3	]	]	PUNCT
cana-1513	44	4	studied	study	VERB
cana-1513	44	5	thermal	thermal	ADJ
cana-1513	44	6	and	and	CCONJ
cana-1513	44	7	mass	mass	ADJ
cana-1513	44	8	transport	transport	NOUN
cana-1513	44	9	of	of	ADP
cana-1513	44	10	secondary	secondary	ADJ
cana-1513	44	11	fluid	fluid	NOUN
cana-1513	44	12	into	into	ADP
cana-1513	44	13	a	a	DET
cana-1513	44	14	weak	weak	ADJ
cana-1513	44	15	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1513	44	16	oscillating	oscillating	NOUN
cana-1513	44	17	flow	flow	NOUN
cana-1513	44	18	between	between	ADP
cana-1513	44	19	two	two	NUM
cana-1513	44	20	plates	plate	NOUN
cana-1513	44	21	that	that	PRON
cana-1513	44	22	are	be	AUX
cana-1513	44	23	vertical	vertical	ADJ
cana-1513	44	24	with	with	ADP
cana-1513	44	25	constant	constant	ADJ
cana-1513	44	26	change	change	NOUN
cana-1513	44	27	in	in	ADP
cana-1513	44	28	instruments	instrument	NOUN
cana-1513	44	29	/	/	SYM
cana-1513	44	30	sinks	sink	NOUN
cana-1513	44	31	and	and	CCONJ
cana-1513	44	32	chemicals	chemical	NOUN
cana-1513	44	33	.	.	PUNCT
cana-1513	45	1	furhad	furhad	PROPN
cana-1513	45	2	ali	ali	PROPN
cana-1513	46	1	[	[	X
cana-1513	46	2	18	18	NUM
cana-1513	46	3	]	]	PUNCT
cana-1513	46	4	studied	studied	ADJ
cana-1513	46	5	heat	heat	NOUN
cana-1513	46	6	,	,	PUNCT
cana-1513	46	7	air	air	NOUN
cana-1513	46	8	transfer	transfer	NOUN
cana-1513	46	9	from	from	ADP
cana-1513	46	10	a	a	DET
cana-1513	46	11	freely	freely	ADV
cana-1513	46	12	flowing	flow	VERB
cana-1513	46	13	mhd	mhd	NOUN
cana-1513	46	14	fluid	fluid	NOUN
cana-1513	46	15	on	on	ADP
cana-1513	46	16	a	a	DET
cana-1513	46	17	vertical	vertical	ADJ
cana-1513	46	18	plate	plate	NOUN
cana-1513	46	19	to	to	ADP
cana-1513	46	20	a	a	DET
cana-1513	46	21	permeable	permeable	ADJ
cana-1513	46	22	medium	medium	NOUN
cana-1513	46	23	.	.	PUNCT
cana-1513	46	24	misra	misra	PROPN
cana-1513	47	1	[	[	X
cana-1513	47	2	19	19	NUM
cana-1513	47	3	]	]	PUNCT
cana-1513	47	4	captured	capture	VERB
cana-1513	47	5	motion	motion	NOUN
cana-1513	47	6	of	of	ADP
cana-1513	47	7	a	a	DET
cana-1513	47	8	biomagnetic	biomagnetic	ADJ
cana-1513	47	9	viscoelastic	viscoelastic	ADJ
cana-1513	47	10	fluid	fluid	NOUN
cana-1513	47	11	on	on	ADP
cana-1513	47	12	an	an	DET
cana-1513	47	13	extended	extended	ADJ
cana-1513	47	14	plate	plate	NOUN
cana-1513	47	15	.	.	PUNCT
cana-1513	48	1	k.	k.	PROPN
cana-1513	48	2	das	das	PROPN
cana-1513	48	3	[	[	X
cana-1513	48	4	20	20	NUM
cana-1513	48	5	]	]	PUNCT
cana-1513	48	6	studied	study	VERB
cana-1513	48	7	convection	convection	NOUN
cana-1513	48	8	without	without	ADP
cana-1513	48	9	mhd	mhd	PROPN
cana-1513	48	10	near	near	ADP
cana-1513	48	11	a	a	DET
cana-1513	48	12	moving	move	VERB
cana-1513	48	13	plate	plate	NOUN
cana-1513	48	14	in	in	ADP
cana-1513	48	15	the	the	DET
cana-1513	48	16	visual	visual	NOUN
cana-1513	48	17	of	of	ADP
cana-1513	48	18	thermal	thermal	ADJ
cana-1513	48	19	radiation	radiation	NOUN
cana-1513	48	20	.	.	PUNCT
cana-1513	49	1	this	this	DET
cana-1513	49	2	study	study	NOUN
cana-1513	49	3	,	,	PUNCT
cana-1513	49	4	based	base	VERB
cana-1513	49	5	on	on	ADP
cana-1513	49	6	this	this	DET
cana-1513	49	7	research	research	NOUN
cana-1513	49	8	.	.	PUNCT
cana-1513	50	1	instead	instead	ADV
cana-1513	50	2	of	of	ADP
cana-1513	50	3	focusing	focus	VERB
cana-1513	50	4	on	on	ADP
cana-1513	50	5	newtonian	newtonian	ADJ
cana-1513	50	6	fluids	fluid	NOUN
cana-1513	50	7	,	,	PUNCT
cana-1513	50	8	we	we	PRON
cana-1513	50	9	study	study	VERB
cana-1513	50	10	unstable	unstable	ADJ
cana-1513	50	11	mhd	mhd	NOUN
cana-1513	50	12	viscoelastic	viscoelastic	ADJ
cana-1513	50	13	fluid	fluid	NOUN
cana-1513	50	14	flow	flow	NOUN
cana-1513	50	15	in	in	ADP
cana-1513	50	16	a	a	DET
cana-1513	50	17	vertical	vertical	ADJ
cana-1513	50	18	medium	medium	NOUN
cana-1513	50	19	along	along	ADV
cana-1513	50	20	with	with	ADP
cana-1513	50	21	pressure	pressure	NOUN
cana-1513	50	22	gradients	gradient	NOUN
cana-1513	50	23	.	.	PUNCT
cana-1513	51	1	this	this	DET
cana-1513	51	2	study	study	NOUN
cana-1513	51	3	is	be	AUX
cana-1513	51	4	unique	unique	ADJ
cana-1513	51	5	in	in	ADP
cana-1513	51	6	that	that	SCONJ
cana-1513	51	7	it	it	PRON
cana-1513	51	8	explores	explore	VERB
cana-1513	51	9	how	how	SCONJ
cana-1513	51	10	the	the	DET
cana-1513	51	11	viscoelastic	viscoelastic	ADJ
cana-1513	51	12	fluid	fluid	NOUN
cana-1513	51	13	relates	relate	VERB
cana-1513	51	14	to	to	ADP
cana-1513	51	15	dufour	dufour	PROPN
cana-1513	51	16	and	and	CCONJ
cana-1513	51	17	the	the	DET
cana-1513	51	18	time	time	NOUN
cana-1513	51	19	-	-	PUNCT
cana-1513	51	20	dependent	dependent	ADJ
cana-1513	51	21	fluctuation	fluctuation	NOUN
cana-1513	51	22	absorption	absorption	NOUN
cana-1513	51	23	of	of	ADP
cana-1513	51	24	the	the	DET
cana-1513	51	25	medium	medium	NOUN
cana-1513	51	26	in	in	ADP
cana-1513	51	27	the	the	DET
cana-1513	51	28	presence	presence	NOUN
cana-1513	51	29	of	of	ADP
cana-1513	51	30	electrochemistry	electrochemistry	NOUN
cana-1513	51	31	.	.	PUNCT
cana-1513	52	1	2	2	X
cana-1513	52	2	.	.	X
cana-1513	52	3	design	design	NOUN
cana-1513	52	4	of	of	ADP
cana-1513	52	5	the	the	DET
cana-1513	52	6	problem	problem	NOUN
cana-1513	52	7	the	the	DET
cana-1513	52	8	design	design	NOUN
cana-1513	52	9	problem	problem	NOUN
cana-1513	52	10	revolves	revolve	VERB
cana-1513	52	11	around	around	ADP
cana-1513	52	12	the	the	DET
cana-1513	52	13	time	time	NOUN
cana-1513	52	14	-	-	PUNCT
cana-1513	52	15	dependent	dependent	ADJ
cana-1513	52	16	oscillating	oscillating	NOUN
cana-1513	52	17	absorption	absorption	NOUN
cana-1513	52	18	and	and	CCONJ
cana-1513	52	19	permeability	permeability	NOUN
cana-1513	52	20	of	of	ADP
cana-1513	52	21	infinite	infinite	ADJ
cana-1513	52	22	vertical	vertical	ADJ
cana-1513	52	23	permeable	permeable	ADJ
cana-1513	52	24	plate	plate	NOUN
cana-1513	52	25	,	,	PUNCT
cana-1513	52	26	immersed	immerse	VERB
cana-1513	52	27	in	in	ADP
cana-1513	52	28	endothermic	endothermic	ADJ
cana-1513	52	29	viscoelastic	viscoelastic	NOUN
cana-1513	52	30	fluid	fluid	NOUN
cana-1513	52	31	.	.	PUNCT
cana-1513	53	1	this	this	DET
cana-1513	53	2	fluid	fluid	NOUN
cana-1513	53	3	is	be	AUX
cana-1513	53	4	subject	subject	ADJ
cana-1513	53	5	to	to	ADP
cana-1513	53	6	electric	electric	ADJ
cana-1513	53	7	reactions	reaction	NOUN
cana-1513	53	8	,	,	PUNCT
cana-1513	53	9	electric	electric	ADJ
cana-1513	53	10	suction	suction	NOUN
cana-1513	53	11	along	along	ADP
cana-1513	53	12	with	with	ADP
cana-1513	53	13	a	a	DET
cana-1513	53	14	change	change	NOUN
cana-1513	53	15	in	in	ADP
cana-1513	53	16	magnetic	magnetic	ADJ
cana-1513	53	17	-	-	PUNCT
cana-1513	53	18	field	field	NOUN
cana-1513	53	19	,	,	PUNCT
cana-1513	53	20	while	while	SCONJ
cana-1513	53	21	y	y	PROPN
cana-1513	53	22	*	*	PROPN
cana-1513	53	23	axis	axis	NOUN
cana-1513	53	24	remains	remain	VERB
cana-1513	53	25	normal	normal	ADJ
cana-1513	53	26	for	for	ADP
cana-1513	53	27	the	the	DET
cana-1513	53	28	x	x	PROPN
cana-1513	53	29	*	*	NOUN
cana-1513	53	30	axis	axis	NOUN
cana-1513	53	31	,	,	PUNCT
cana-1513	53	32	representing	represent	VERB
cana-1513	53	33	flow	flow	NOUN
cana-1513	53	34	direction	direction	NOUN
cana-1513	53	35	.	.	PUNCT
cana-1513	54	1	the	the	DET
cana-1513	54	2	magnetic	magnetic	ADJ
cana-1513	54	3	reynolds	reynolds	PROPN
cana-1513	54	4	number	number	NOUN
cana-1513	54	5	is	be	AUX
cana-1513	54	6	considered	consider	VERB
cana-1513	54	7	minimum	minimum	ADJ
cana-1513	54	8	,	,	PUNCT
cana-1513	54	9	and	and	CCONJ
cana-1513	54	10	induced	induce	VERB
cana-1513	54	11	magnetic	magnetic	ADJ
cana-1513	54	12	fields	field	NOUN
cana-1513	54	13	are	be	AUX
cana-1513	54	14	disregarded	disregarded	ADJ
cana-1513	54	15	.	.	PUNCT
cana-1513	55	1	buoyancy	buoyancy	NOUN
cana-1513	55	2	forces	force	NOUN
cana-1513	55	3	due	due	ADP
cana-1513	55	4	to	to	ADP
cana-1513	55	5	temperature	temperature	NOUN
cana-1513	55	6	imbalance	imbalance	NOUN
cana-1513	55	7	between	between	ADP
cana-1513	55	8	the	the	DET
cana-1513	55	9	wall	wall	NOUN
cana-1513	55	10	and	and	CCONJ
cana-1513	55	11	the	the	DET
cana-1513	55	12	middle	middle	ADJ
cana-1513	55	13	section	section	NOUN
cana-1513	55	14	are	be	AUX
cana-1513	55	15	the	the	DET
cana-1513	55	16	main	main	ADJ
cana-1513	55	17	cause	cause	NOUN
cana-1513	55	18	of	of	ADP
cana-1513	55	19	disturbances	disturbance	NOUN
cana-1513	55	20	in	in	ADP
cana-1513	55	21	the	the	DET
cana-1513	55	22	middle	middle	ADJ
cana-1513	55	23	part	part	NOUN
cana-1513	55	24	.	.	PUNCT
cana-1513	56	1	the	the	DET
cana-1513	56	2	study	study	NOUN
cana-1513	56	3	accounts	account	VERB
cana-1513	56	4	for	for	ADP
cana-1513	56	5	dufour	dufour	PROPN
cana-1513	56	6	's	's	PART
cana-1513	56	7	influence	influence	NOUN
cana-1513	56	8	and	and	CCONJ
cana-1513	56	9	examines	examine	VERB
cana-1513	56	10	how	how	SCONJ
cana-1513	56	11	the	the	DET
cana-1513	56	12	plate	plate	NOUN
cana-1513	56	13	's	's	PART
cana-1513	56	14	temperature	temperature	NOUN
cana-1513	56	15	changes	change	NOUN
cana-1513	56	16	with	with	ADP
cana-1513	56	17	time	time	NOUN
cana-1513	56	18	,	,	PUNCT
cana-1513	56	19	from	from	ADP
cana-1513	56	20	t*=0	t*=0	NOUN
cana-1513	56	21	,	,	PUNCT
cana-1513	56	22	when	when	SCONJ
cana-1513	56	23	the	the	DET
cana-1513	56	24	plate	plate	NOUN
cana-1513	56	25	and	and	CCONJ
cana-1513	56	26	the	the	DET
cana-1513	56	27	fluid	fluid	NOUN
cana-1513	56	28	are	be	AUX
cana-1513	56	29	at	at	ADP
cana-1513	56	30	the	the	DET
cana-1513	56	31	identical	identical	ADJ
cana-1513	56	32	temperature	temperature	NOUN
cana-1513	56	33	,	,	PUNCT
cana-1513	56	34	to	to	ADP
cana-1513	56	35	t	t	PROPN
cana-1513	56	36	*	*	PUNCT
cana-1513	56	37	,	,	PUNCT
cana-1513	56	38	when	when	SCONJ
cana-1513	56	39	the	the	DET
cana-1513	56	40	plate	plate	NOUN
cana-1513	56	41	's	's	PART
cana-1513	56	42	temperature	temperature	NOUN
cana-1513	56	43	reaches	reach	VERB
cana-1513	56	44	tw	tw	PRON
cana-1513	56	45	*	*	NOUN
cana-1513	56	46	,	,	PUNCT
cana-1513	56	47	and	and	CCONJ
cana-1513	56	48	the	the	DET
cana-1513	56	49	mode	mode	NOUN
cana-1513	56	50	transitions	transition	NOUN
cana-1513	56	51	to	to	ADP
cana-1513	56	52	cw	cw	VERB
cana-1513	56	53	*	*	PROPN
cana-1513	56	54	.	.	PUNCT
cana-1513	57	1	the	the	DET
cana-1513	57	2	permeability	permeability	NOUN
cana-1513	57	3	and	and	CCONJ
cana-1513	57	4	absorption	absorption	NOUN
cana-1513	57	5	rate	rate	NOUN
cana-1513	57	6	of	of	ADP
cana-1513	57	7	porous	porous	ADJ
cana-1513	57	8	media	medium	NOUN
cana-1513	57	9	are	be	AUX
cana-1513	57	10	represented	represent	VERB
cana-1513	57	11	by	by	ADP
cana-1513	57	12	the	the	DET
cana-1513	57	13	following	follow	VERB
cana-1513	57	14	equations	equation	NOUN
cana-1513	57	15	:	:	PUNCT
cana-1513	58	1	k	k	X
cana-1513	58	2	*	*	PUNCT
cana-1513	58	3	(	(	PUNCT
cana-1513	58	4	t	t	NOUN
cana-1513	58	5	*	*	PUNCT
cana-1513	58	6	)	)	PUNCT
cana-1513	59	1	=	=	PUNCT
cana-1513	60	1	k	k	X
cana-1513	60	2	*	*	PUNCT
cana-1513	60	3	p	p	X
cana-1513	60	4	(	(	PUNCT
cana-1513	60	5	1	1	NUM
cana-1513	60	6	+	+	NUM
cana-1513	60	7	eiw	eiw	PROPN
cana-1513	60	8	*	*	PUNCT
cana-1513	60	9	t	t	PROPN
cana-1513	60	10	*	*	PUNCT
cana-1513	60	11	)	)	PUNCT
cana-1513	60	12	(	(	PUNCT
cana-1513	60	13	1	1	X
cana-1513	60	14	)	)	PUNCT
cana-1513	60	15	v	v	NOUN
cana-1513	60	16	*	*	PUNCT
cana-1513	60	17	(	(	PUNCT
cana-1513	60	18	y	y	NOUN
cana-1513	60	19	*	*	PUNCT
cana-1513	60	20	)	)	PUNCT
cana-1513	61	1	=	=	PRON
cana-1513	61	2	(	(	PUNCT
cana-1513	61	3	1	1	NUM
cana-1513	61	4	+	+	NUM
cana-1513	61	5	eaw*t	eaw*t	PROPN
cana-1513	61	6	*	*	NUM
cana-1513	61	7	)	)	PUNCT
cana-1513	61	8	.	.	PUNCT
cana-1513	62	1	communications	communication	NOUN
cana-1513	62	2	on	on	ADP
cana-1513	62	3	applied	apply	VERB
cana-1513	62	4	nonlinear	nonlinear	ADJ
cana-1513	62	5	analysis	analysis	NOUN
cana-1513	62	6	issn	issn	NOUN
cana-1513	62	7	:	:	PUNCT
cana-1513	62	8	1074	1074	NUM
cana-1513	62	9	-	-	PUNCT
cana-1513	62	10	133x	133x	NUM
cana-1513	62	11	vol	vol	NOUN
cana-1513	62	12	31	31	NUM
cana-1513	62	13	no	no	NOUN
cana-1513	62	14	.	.	PUNCT
cana-1513	63	1	8s	8s	PROPN
cana-1513	63	2	(	(	PUNCT
cana-1513	63	3	2024	2024	NUM
cana-1513	63	4	)	)	PUNCT
cana-1513	63	5	367	367	NUM
cana-1513	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	63	7	flow	flow	NOUN
cana-1513	63	8	geometry	geometry	NOUN
cana-1513	63	9	applying	apply	VERB
cana-1513	63	10	the	the	DET
cana-1513	63	11	previously	previously	ADV
cana-1513	63	12	indicated	indicate	VERB
cana-1513	63	13	assumption	assumption	NOUN
cana-1513	63	14	and	and	CCONJ
cana-1513	63	15	normal	normal	ADJ
cana-1513	63	16	boussinesq	boussinesq	NOUN
cana-1513	63	17	’	'	PUNCT
cana-1513	63	18	s	s	PART
cana-1513	63	19	approximation	approximation	NOUN
cana-1513	63	20	,	,	PUNCT
cana-1513	63	21	governing	govern	VERB
cana-1513	63	22	equations	equation	NOUN
cana-1513	63	23	and	and	CCONJ
cana-1513	63	24	boundary	boundary	ADJ
cana-1513	63	25	conditions	condition	NOUN
cana-1513	63	26	are	be	AUX
cana-1513	63	27	provided	provide	VERB
cana-1513	63	28	as	as	ADP
cana-1513	63	29	follows	follow	VERB
cana-1513	63	30	:	:	PUNCT
cana-1513	63	31	where	where	SCONJ
cana-1513	63	32	t	t	PROPN
cana-1513	63	33	>	>	X
cana-1513	63	34	0	0	PUNCT
cana-1513	63	35	and	and	CCONJ
cana-1513	63	36	1	1	NUM
cana-1513	63	37	are	be	AUX
cana-1513	63	38	said	say	VERB
cana-1513	63	39	to	to	PART
cana-1513	63	40	be	be	AUX
cana-1513	63	41	positive	positive	ADJ
cana-1513	63	42	constants	constant	NOUN
cana-1513	63	43	.	.	PUNCT
cana-1513	64	1	𝜕𝑢∗	𝜕𝑢∗	NOUN
cana-1513	64	2	𝜕𝑡∗	𝜕𝑡∗	NOUN
cana-1513	64	3	=	=	SYM
cana-1513	64	4	𝜗	𝜗	NOUN
cana-1513	64	5	𝜕2𝑦∗	𝜕2𝑦∗	NOUN
cana-1513	64	6	𝜕𝑦∗2	𝜕𝑦∗2	NOUN
cana-1513	64	7	+	+	CCONJ
cana-1513	64	8	𝑔𝛽(𝑇∗	𝑔𝛽(𝑇∗	VERB
cana-1513	64	9	−	−	PROPN
cana-1513	64	10	𝑇∞	𝑇∞	PROPN
cana-1513	64	11	∗	∗	NOUN
cana-1513	64	12	)	)	PUNCT
cana-1513	65	1	+	+	CCONJ
cana-1513	65	2	𝑔𝛽∗(𝑐∗	𝑔𝛽∗(𝑐∗	PROPN
cana-1513	65	3	−	−	PROPN
cana-1513	65	4	𝑐∞	𝑐∞	PROPN
cana-1513	65	5	∗	∗	NOUN
cana-1513	65	6	)	)	PUNCT
cana-1513	66	1	−	−	ADP
cana-1513	66	2	𝜎𝛽0	𝜎𝛽0	ADJ
cana-1513	66	3	2	2	NUM
cana-1513	66	4	𝑢∗	𝑢∗	NOUN
cana-1513	66	5	𝜌	𝜌	ADP
cana-1513	66	6	−	−	PROPN
cana-1513	66	7	𝜗	𝜗	AUX
cana-1513	66	8	𝑢∗	𝑢∗	VERB
cana-1513	66	9	𝑘∗	𝑘∗	ADJ
cana-1513	66	10	−	−	PROPN
cana-1513	66	11	𝑘𝜊	𝑘𝜊	ADP
cana-1513	66	12	𝜌	𝜌	X
cana-1513	66	13	(	(	PUNCT
cana-1513	66	14	𝜕3𝑢∗	𝜕3𝑢∗	NOUN
cana-1513	66	15	𝜕𝑡∗𝜕𝑦∗2	𝜕𝑡∗𝜕𝑦∗2	NUM
cana-1513	66	16	+	+	CCONJ
cana-1513	66	17	𝑣2	𝑣2	NUM
cana-1513	66	18	𝜕3𝑢∗	𝜕3𝑢∗	NOUN
cana-1513	66	19	𝜕𝑦∗2	𝜕𝑦∗2	PROPN
cana-1513	66	20	)	)	PUNCT
cana-1513	66	21	(	(	PUNCT
cana-1513	66	22	2	2	X
cana-1513	66	23	)	)	PUNCT
cana-1513	66	24	𝜕𝑇∗	𝜕𝑇∗	NOUN
cana-1513	66	25	𝜕𝑡∗	𝜕𝑡∗	NOUN
cana-1513	66	26	𝜌𝑐𝑝	𝜌𝑐𝑝	NOUN
cana-1513	66	27	=	=	PUNCT
cana-1513	66	28	𝑘	𝑘	DET
cana-1513	66	29	𝜕2𝑇∗	𝜕2𝑇∗	PROPN
cana-1513	66	30	𝜕𝑦∗2	𝜕𝑦∗2	PROPN
cana-1513	66	31	−	−	PROPN
cana-1513	66	32	𝜕𝑞∗	𝜕𝑞∗	PROPN
cana-1513	66	33	∗	∗	NOUN
cana-1513	66	34	𝜕𝑦2	𝜕𝑦2	PROPN
cana-1513	66	35	−	−	PROPN
cana-1513	66	36	𝑄∗(𝑇∗	𝑄∗(𝑇∗	ADJ
cana-1513	66	37	−	−	PROPN
cana-1513	66	38	𝑇∞	𝑇∞	PROPN
cana-1513	66	39	∗	∗	NOUN
cana-1513	66	40	)	)	PUNCT
cana-1513	67	1	+	+	CCONJ
cana-1513	67	2	𝑄1	𝑄1	NOUN
cana-1513	67	3	∗(𝑐∗	∗(𝑐∗	INTJ
cana-1513	67	4	−	−	PROPN
cana-1513	67	5	𝑐∞	𝑐∞	PROPN
cana-1513	67	6	∗	∗	NOUN
cana-1513	67	7	)	)	PUNCT
cana-1513	67	8	(	(	PUNCT
cana-1513	67	9	3	3	X
cana-1513	67	10	)	)	PUNCT
cana-1513	67	11	𝜕𝑐∗	𝜕𝑐∗	VERB
cana-1513	67	12	𝜕𝑡∗	𝜕𝑡∗	NOUN
cana-1513	67	13	=	=	SYM
cana-1513	67	14	𝐷	𝐷	PROPN
cana-1513	67	15	𝜕2𝑐∗	𝜕2𝑐∗	ADP
cana-1513	68	1	𝜕𝑦∗2	𝜕𝑦∗2	PROPN
cana-1513	68	2	−	−	PROPN
cana-1513	68	3	𝑘𝑟(𝑐∗	𝑘𝑟(𝑐∗	NOUN
cana-1513	68	4	−	−	PROPN
cana-1513	68	5	𝑐∞	𝑐∞	PROPN
cana-1513	68	6	∗	∗	NOUN
cana-1513	68	7	)	)	PUNCT
cana-1513	69	1	+	+	CCONJ
cana-1513	69	2	𝐷𝑘𝑇	𝐷𝑘𝑇	NOUN
cana-1513	69	3	𝑇𝑚	𝑇𝑚	PROPN
cana-1513	69	4	𝜕2𝑇	𝜕2𝑇	NOUN
cana-1513	69	5	𝜕𝑦2	𝜕𝑦2	NOUN
cana-1513	69	6	(	(	PUNCT
cana-1513	69	7	4	4	NUM
cana-1513	69	8	)	)	PUNCT
cana-1513	69	9	𝑢	𝑢	NOUN
cana-1513	69	10	=	=	SYM
cana-1513	69	11	0	0	NUM
cana-1513	69	12	,	,	PUNCT
cana-1513	69	13	𝑇∗	𝑇∗	PUNCT
cana-1513	70	1	=	=	SYM
cana-1513	70	2	𝑇𝑤	𝑇𝑤	PROPN
cana-1513	70	3	+	+	CCONJ
cana-1513	70	4	ε(𝑇𝑤	ε(𝑇𝑤	X
cana-1513	70	5	−	−	PROPN
cana-1513	70	6	𝑇∞)𝑒𝑖𝑤∗𝑡∗	𝑇∞)𝑒𝑖𝑤∗𝑡∗	PROPN
cana-1513	70	7	,	,	PUNCT
cana-1513	70	8	𝐶∗	𝐶∗	NOUN
cana-1513	71	1	−	−	PROPN
cana-1513	72	1	𝐶𝑤	𝐶𝑤	NOUN
cana-1513	72	2	+	+	NOUN
cana-1513	72	3	ε(𝐶𝑤	ε(𝐶𝑤	NOUN
cana-1513	72	4	−	−	NOUN
cana-1513	72	5	𝐶∞)𝑒𝑖𝑤∗𝑡∗	𝐶∞)𝑒𝑖𝑤∗𝑡∗	VERB
cana-1513	72	6	at	at	ADP
cana-1513	72	7	𝑦	𝑦	NOUN
cana-1513	72	8	=	=	SYM
cana-1513	72	9	0	0	PUNCT
cana-1513	72	10	(	(	PUNCT
cana-1513	72	11	5	5	NUM
cana-1513	72	12	)	)	PUNCT
cana-1513	72	13	𝑢	𝑢	PROPN
cana-1513	72	14	→	→	SYM
cana-1513	72	15	0	0	NUM
cana-1513	72	16	,	,	PUNCT
cana-1513	72	17	𝑇∗	𝑇∗	PROPN
cana-1513	72	18	→	→	SYM
cana-1513	72	19	𝑇∞	𝑇∞	PROPN
cana-1513	72	20	,	,	PUNCT
cana-1513	72	21	𝐶∗	𝐶∗	X
cana-1513	72	22	→	→	SYM
cana-1513	72	23	𝐶∞	𝐶∞	PROPN
cana-1513	72	24	as	as	ADP
cana-1513	72	25	𝑦	𝑦	NOUN
cana-1513	72	26	→	→	SYM
cana-1513	72	27	∞	∞	NUM
cana-1513	72	28	introduce	introduce	NOUN
cana-1513	72	29	non	non	ADJ
cana-1513	72	30	-	-	ADJ
cana-1513	72	31	dimensional	dimensional	ADJ
cana-1513	72	32	equations	equation	NOUN
cana-1513	72	33	𝑦	𝑦	NOUN
cana-1513	72	34	=	=	PUNCT
cana-1513	72	35	𝑣𝜊𝑡∗	𝑣𝜊𝑡∗	PUNCT
cana-1513	72	36	𝜗	𝜗	NOUN
cana-1513	72	37	,	,	PUNCT
cana-1513	72	38	𝑡	𝑡	PROPN
cana-1513	72	39	=	=	VERB
cana-1513	72	40	𝑣𝑡∗	𝑣𝑡∗	X
cana-1513	72	41	4𝜗	4𝜗	NOUN
cana-1513	72	42	,	,	PUNCT
cana-1513	72	43	𝑤	𝑤	ADP
cana-1513	72	44	=	=	SYM
cana-1513	72	45	4𝛾𝑤∗	4𝛾𝑤∗	NUM
cana-1513	72	46	𝑣𝜊	𝑣𝜊	ADP
cana-1513	72	47	2	2	NUM
cana-1513	72	48	,	,	PUNCT
cana-1513	72	49	𝑢	𝑢	X
cana-1513	72	50	=	=	SYM
cana-1513	72	51	𝑢∗	𝑢∗	NOUN
cana-1513	72	52	𝑣𝜊	𝑣𝜊	NOUN
cana-1513	72	53	,	,	PUNCT
cana-1513	72	54	𝑇	𝑇	PROPN
cana-1513	72	55	=	=	SYM
cana-1513	72	56	𝑇∗−𝑇∞	𝑇∗−𝑇∞	NOUN
cana-1513	72	57	∗	∗	NOUN
cana-1513	72	58	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	PROPN
cana-1513	72	59	,	,	PUNCT
cana-1513	72	60	c	c	X
cana-1513	72	61	=	=	SYM
cana-1513	72	62	c∗−c∞	c∗−c∞	PROPN
cana-1513	72	63	∗	∗	VERB
cana-1513	72	64	c𝑤−c∞	c𝑤−c∞	PROPN
cana-1513	72	65	,	,	PUNCT
cana-1513	72	66	𝑠	𝑠	PROPN
cana-1513	72	67	=	=	PRON
cana-1513	72	68	𝜗𝑠∗	𝜗𝑠∗	NOUN
cana-1513	72	69	𝑣𝜊	𝑣𝜊	PRON
cana-1513	72	70	2	2	NUM
cana-1513	72	71	,	,	PUNCT
cana-1513	72	72	𝐾𝑝	𝐾𝑝	NOUN
cana-1513	72	73	=	=	PUNCT
cana-1513	72	74	𝑣𝜊	𝑣𝜊	ADP
cana-1513	72	75	2𝑘𝑝	2𝑘𝑝	ADJ
cana-1513	72	76	2	2	NUM
cana-1513	72	77	𝜗2	𝜗2	NOUN
cana-1513	72	78	,	,	PUNCT
cana-1513	72	79	𝑚2	𝑚2	NOUN
cana-1513	72	80	=	=	SYM
cana-1513	72	81	𝜎	𝜎	PROPN
cana-1513	73	1	𝐵𝜊	𝐵𝜊	PROPN
cana-1513	73	2	2𝜗	2𝜗	NOUN
cana-1513	73	3	𝑣𝜊	𝑣𝜊	ADP
cana-1513	73	4	2𝜌	2𝜌	NOUN
cana-1513	73	5	,	,	PUNCT
cana-1513	73	6	𝑃𝑟	𝑃𝑟	PROPN
cana-1513	73	7	=	=	SYM
cana-1513	73	8	𝜗	𝜗	PROPN
cana-1513	73	9	𝑘	𝑘	NOUN
cana-1513	73	10	,	,	PUNCT
cana-1513	73	11	𝑠𝑐	𝑠𝑐	NOUN
cana-1513	73	12	=	=	SYM
cana-1513	73	13	𝜗	𝜗	PROPN
cana-1513	73	14	𝐷	𝐷	NOUN
cana-1513	73	15	,	,	PUNCT
cana-1513	73	16	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	73	17	=	=	PUNCT
cana-1513	73	18	𝑣𝜊	𝑣𝜊	ADP
cana-1513	73	19	2𝑘𝜊	2𝑘𝜊	ADJ
cana-1513	73	20	𝜗2𝜌	𝜗2𝜌	NOUN
cana-1513	73	21	,	,	PUNCT
cana-1513	73	22	𝐺𝑐	𝐺𝑐	PROPN
cana-1513	73	23	=	=	PUNCT
cana-1513	73	24	𝑣𝑔𝛽∗(𝑐𝑤	𝑣𝑔𝛽∗(𝑐𝑤	ADJ
cana-1513	73	25	−	−	NOUN
cana-1513	73	26	𝑐∞	𝑐∞	NOUN
cana-1513	73	27	)	)	PUNCT
cana-1513	73	28	𝑣𝜊	𝑣𝜊	ADP
cana-1513	73	29	3	3	NUM
cana-1513	73	30	,	,	PUNCT
cana-1513	73	31	𝐺𝑟	𝐺𝑟	PROPN
cana-1513	73	32	=	=	PUNCT
cana-1513	73	33	𝑣𝑔𝛽(𝑇𝑤	𝑣𝑔𝛽(𝑇𝑤	ADP
cana-1513	73	34	−	−	PROPN
cana-1513	73	35	𝑇∞	𝑇∞	PROPN
cana-1513	73	36	)	)	PUNCT
cana-1513	73	37	𝑣𝜊	𝑣𝜊	ADP
cana-1513	73	38	3	3	NUM
cana-1513	73	39	,	,	PUNCT
cana-1513	73	40	𝐹	𝐹	PROPN
cana-1513	74	1	=	=	PUNCT
cana-1513	74	2	4𝐼1𝜗	4𝐼1𝜗	NUM
cana-1513	74	3	𝑣𝜊	𝑣𝜊	NOUN
cana-1513	74	4	2𝜌𝑐𝑝	2𝜌𝑐𝑝	NOUN
cana-1513	74	5	,	,	PUNCT
cana-1513	74	6	𝑠	𝑠	PROPN
cana-1513	75	1	=	=	PUNCT
cana-1513	75	2	𝑄𝜗	𝑄𝜗	PROPN
cana-1513	75	3	𝑣𝜊	𝑣𝜊	DET
cana-1513	75	4	2𝜌𝑐𝑝	2𝜌𝑐𝑝	NOUN
cana-1513	75	5	,	,	PUNCT
cana-1513	75	6	𝑘𝑐	𝑘𝑐	ADV
cana-1513	75	7	=	=	PUNCT
cana-1513	75	8	𝑘𝑟𝜗	𝑘𝑟𝜗	PROPN
cana-1513	75	9	𝑣𝜊	𝑣𝜊	PRON
cana-1513	75	10	2	2	NUM
cana-1513	75	11	𝑅	𝑅	PROPN
cana-1513	75	12	=	=	NOUN
cana-1513	75	13	𝑄1𝜗(𝑐𝑤	𝑄1𝜗(𝑐𝑤	PROPN
cana-1513	75	14	∗	∗	NOUN
cana-1513	75	15	−𝑐∞	−𝑐∞	PROPN
cana-1513	75	16	)	)	PUNCT
cana-1513	76	1	𝑣𝜊	𝑣𝜊	PROPN
cana-1513	76	2	2𝜌(𝑇𝑤	2𝜌(𝑇𝑤	PROPN
cana-1513	76	3	∗	∗	NOUN
cana-1513	76	4	−𝑇∞	−𝑇∞	NOUN
cana-1513	76	5	)	)	PUNCT
cana-1513	76	6	,	,	PUNCT
cana-1513	76	7	𝑠𝑟	𝑠𝑟	NOUN
cana-1513	76	8	=	=	NOUN
cana-1513	76	9	𝐷𝑘𝑇	𝐷𝑘𝑇	PROPN
cana-1513	76	10	𝑇𝑚	𝑇𝑚	PROPN
cana-1513	76	11	(	(	PUNCT
cana-1513	76	12	𝑇𝑤−𝑇∞	𝑇𝑤−𝑇∞	PROPN
cana-1513	76	13	𝑐𝑤−𝑐∞	𝑐𝑤−𝑐∞	PROPN
cana-1513	76	14	)	)	PUNCT
cana-1513	76	15	(	(	PUNCT
cana-1513	76	16	6	6	X
cana-1513	76	17	)	)	PUNCT
cana-1513	76	18	equation	equation	NOUN
cana-1513	76	19	(	(	PUNCT
cana-1513	76	20	3	3	NUM
cana-1513	76	21	)	)	PUNCT
cana-1513	76	22	,	,	PUNCT
cana-1513	76	23	(	(	PUNCT
cana-1513	76	24	4	4	NUM
cana-1513	76	25	)	)	PUNCT
cana-1513	76	26	,	,	PUNCT
cana-1513	76	27	(	(	PUNCT
cana-1513	76	28	5	5	X
cana-1513	76	29	)	)	PUNCT
cana-1513	76	30	reduces	reduce	VERB
cana-1513	76	31	to	to	ADP
cana-1513	76	32	a	a	DET
cana-1513	76	33	non	non	ADJ
cana-1513	76	34	-	-	ADJ
cana-1513	76	35	dimensional	dimensional	ADJ
cana-1513	76	36	form	form	NOUN
cana-1513	76	37	1	1	NUM
cana-1513	76	38	4	4	NUM
cana-1513	76	39	𝜕𝑢	𝜕𝑢	NOUN
cana-1513	76	40	𝜕𝑡	𝜕𝑡	NOUN
cana-1513	76	41	=	=	NOUN
cana-1513	76	42	𝜕2𝑢	𝜕2𝑢	PROPN
cana-1513	76	43	𝜕𝑦2	𝜕𝑦2	NOUN
cana-1513	76	44	+	+	CCONJ
cana-1513	76	45	𝐺𝑟𝑇	𝐺𝑟𝑇	PROPN
cana-1513	76	46	+	+	NUM
cana-1513	76	47	𝐺𝑐𝐶	𝐺𝑐𝐶	PROPN
cana-1513	76	48	−	−	PROPN
cana-1513	76	49	(	(	PUNCT
cana-1513	76	50	𝑚2	𝑚2	NOUN
cana-1513	76	51	+	+	CCONJ
cana-1513	76	52	1	1	NUM
cana-1513	76	53	𝑘𝑝	𝑘𝑝	NOUN
cana-1513	76	54	)	)	PUNCT
cana-1513	76	55	𝑢	𝑢	PROPN
cana-1513	76	56	−	−	PROPN
cana-1513	76	57	1	1	NUM
cana-1513	76	58	4	4	NUM
cana-1513	76	59	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	76	60	{	{	PUNCT
cana-1513	76	61	𝜕3𝑢	𝜕3𝑢	NOUN
cana-1513	76	62	𝜕𝑡𝜕𝑦2	𝜕𝑡𝜕𝑦2	VERB
cana-1513	76	63	−	−	PROPN
cana-1513	76	64	4(1	4(1	X
cana-1513	77	1	+	+	CCONJ
cana-1513	77	2	𝜀𝑒𝑖𝑤𝑡	𝜀𝑒𝑖𝑤𝑡	NOUN
cana-1513	77	3	)	)	PUNCT
cana-1513	77	4	𝜕3𝑢	𝜕3𝑢	PROPN
cana-1513	77	5	𝜕𝑦3	𝜕𝑦3	NOUN
cana-1513	77	6	}	}	PUNCT
cana-1513	77	7	(	(	PUNCT
cana-1513	77	8	7	7	X
cana-1513	77	9	)	)	SYM
cana-1513	77	10	1	1	NUM
cana-1513	77	11	4	4	NUM
cana-1513	77	12	𝜕𝑇	𝜕𝑇	NOUN
cana-1513	77	13	𝜕𝑡	𝜕𝑡	NOUN
cana-1513	77	14	=	=	NOUN
cana-1513	77	15	1	1	NUM
cana-1513	77	16	𝑃𝑟	𝑃𝑟	PROPN
cana-1513	77	17	𝜕2𝑇	𝜕2𝑇	PROPN
cana-1513	77	18	𝜕𝑦2	𝜕𝑦2	VERB
cana-1513	77	19	−	−	PROPN
cana-1513	77	20	𝐻𝑇	𝐻𝑇	X
cana-1513	77	21	+	+	CCONJ
cana-1513	77	22	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	77	23	(	(	PUNCT
cana-1513	77	24	8)	8)	NUM
cana-1513	77	25	1	1	NUM
cana-1513	77	26	4	4	NUM
cana-1513	77	27	𝜕𝑐	𝜕𝑐	NOUN
cana-1513	77	28	𝜕𝑡	𝜕𝑡	NOUN
cana-1513	77	29	=	=	NOUN
cana-1513	77	30	1	1	NUM
cana-1513	77	31	𝑠𝑐	𝑠𝑐	NOUN
cana-1513	77	32	𝜕2𝑐	𝜕2𝑐	VERB
cana-1513	77	33	𝜕𝑦2	𝜕𝑦2	PROPN
cana-1513	77	34	−	−	NUM
cana-1513	77	35	𝑘𝑟𝐶	𝑘𝑟𝐶	NOUN
cana-1513	77	36	+	+	PROPN
cana-1513	78	1	𝑆𝑟	𝑆𝑟	PROPN
cana-1513	78	2	𝜕2𝑇	𝜕2𝑇	NOUN
cana-1513	78	3	𝜕𝑦2	𝜕𝑦2	NOUN
cana-1513	78	4	(	(	PUNCT
cana-1513	78	5	9	9	NUM
cana-1513	78	6	)	)	PUNCT
cana-1513	78	7	communications	communication	NOUN
cana-1513	78	8	on	on	ADP
cana-1513	78	9	applied	apply	VERB
cana-1513	78	10	nonlinear	nonlinear	ADJ
cana-1513	78	11	analysis	analysis	NOUN
cana-1513	78	12	issn	issn	NOUN
cana-1513	78	13	:	:	PUNCT
cana-1513	78	14	1074	1074	NUM
cana-1513	78	15	-	-	PUNCT
cana-1513	78	16	133x	133x	NUM
cana-1513	78	17	vol	vol	NOUN
cana-1513	78	18	31	31	NUM
cana-1513	78	19	no	no	NOUN
cana-1513	78	20	.	.	PUNCT
cana-1513	79	1	8s	8s	PROPN
cana-1513	79	2	(	(	PUNCT
cana-1513	79	3	2024	2024	NUM
cana-1513	79	4	)	)	PUNCT
cana-1513	79	5	368	368	NUM
cana-1513	79	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	79	7	𝑢	𝑢	X
cana-1513	79	8	=	=	SYM
cana-1513	79	9	0	0	NUM
cana-1513	79	10	,	,	PUNCT
cana-1513	79	11	𝑇	𝑇	NOUN
cana-1513	79	12	=	=	SYM
cana-1513	79	13	1	1	NUM
cana-1513	79	14	+	+	NUM
cana-1513	79	15	ε𝑒𝑖𝑤𝑡	ε𝑒𝑖𝑤𝑡	NOUN
cana-1513	79	16	,	,	PUNCT
cana-1513	79	17	𝑐	𝑐	NOUN
cana-1513	79	18	=	=	SYM
cana-1513	79	19	1	1	NUM
cana-1513	79	20	+	+	NUM
cana-1513	79	21	ε𝑒𝑖𝑤𝑡at	ε𝑒𝑖𝑤𝑡at	PROPN
cana-1513	79	22	𝑦	𝑦	NOUN
cana-1513	79	23	=	=	SYM
cana-1513	79	24	0	0	NUM
cana-1513	79	25	(	(	PUNCT
cana-1513	79	26	10	10	NUM
cana-1513	79	27	)	)	PUNCT
cana-1513	79	28	𝑢	𝑢	PROPN
cana-1513	79	29	→	→	SYM
cana-1513	79	30	0	0	NUM
cana-1513	79	31	,	,	PUNCT
cana-1513	79	32	𝑇	𝑇	PROPN
cana-1513	79	33	→	→	SYM
cana-1513	79	34	0	0	NUM
cana-1513	79	35	,	,	PUNCT
cana-1513	79	36	c	c	PROPN
cana-1513	79	37	→	→	SYM
cana-1513	79	38	0	0	NUM
cana-1513	79	39	as	as	ADP
cana-1513	79	40	𝑦	𝑦	PRON
cana-1513	79	41	→	→	SYM
cana-1513	79	42	∞	∞	NUM
cana-1513	79	43	3	3	NUM
cana-1513	79	44	.	.	PUNCT
cana-1513	79	45	method	method	NOUN
cana-1513	79	46	of	of	ADP
cana-1513	79	47	solution	solution	NOUN
cana-1513	79	48	let	let	VERB
cana-1513	79	49	us	we	PRON
cana-1513	79	50	assume	assume	VERB
cana-1513	79	51	the	the	DET
cana-1513	79	52	concentration	concentration	NOUN
cana-1513	79	53	(	(	PUNCT
cana-1513	79	54	c	c	NOUN
cana-1513	79	55	)	)	PUNCT
cana-1513	79	56	,	,	PUNCT
cana-1513	79	57	velocity	velocity	NOUN
cana-1513	79	58	(	(	PUNCT
cana-1513	79	59	u	u	NOUN
cana-1513	79	60	)	)	PUNCT
cana-1513	79	61	and	and	CCONJ
cana-1513	79	62	temperature	temperature	NOUN
cana-1513	79	63	(	(	PUNCT
cana-1513	79	64	t	t	NOUN
cana-1513	79	65	)	)	PUNCT
cana-1513	79	66	to	to	PART
cana-1513	79	67	be	be	AUX
cana-1513	79	68	as	as	SCONJ
cana-1513	79	69	follows	follow	VERB
cana-1513	79	70	,	,	PUNCT
cana-1513	79	71	𝑢(𝑦	𝑢(𝑦	NOUN
cana-1513	79	72	,	,	PUNCT
cana-1513	79	73	𝑡	𝑡	NOUN
cana-1513	79	74	)	)	PUNCT
cana-1513	79	75	=	=	PRON
cana-1513	79	76	𝑢𝜊(𝑦	𝑢𝜊(𝑦	PUNCT
cana-1513	79	77	)	)	PUNCT
cana-1513	80	1	+	+	CCONJ
cana-1513	80	2	ε𝑢1(𝑦)𝑒𝑖𝑤𝑡	ε𝑢1(𝑦)𝑒𝑖𝑤𝑡	X
cana-1513	80	3	𝑇	𝑇	PROPN
cana-1513	80	4	(	(	PUNCT
cana-1513	80	5	𝑦	𝑦	NOUN
cana-1513	80	6	,	,	PUNCT
cana-1513	80	7	𝑡	𝑡	NOUN
cana-1513	80	8	)	)	PUNCT
cana-1513	80	9	=	=	SYM
cana-1513	80	10	𝑇𝜊(𝑦	𝑇𝜊(𝑦	PROPN
cana-1513	80	11	)	)	PUNCT
cana-1513	80	12	+	+	CCONJ
cana-1513	80	13	ε𝑇1(𝑦)𝑒𝑖𝑤𝑡	ε𝑇1(𝑦)𝑒𝑖𝑤𝑡	X
cana-1513	80	14	c	c	X
cana-1513	80	15	(	(	PUNCT
cana-1513	80	16	𝑦	𝑦	NOUN
cana-1513	80	17	,	,	PUNCT
cana-1513	80	18	𝑡	𝑡	NOUN
cana-1513	80	19	)	)	PUNCT
cana-1513	80	20	=	=	SYM
cana-1513	80	21	c𝜊(𝑦	c𝜊(𝑦	X
cana-1513	80	22	)	)	PUNCT
cana-1513	80	23	+	+	CCONJ
cana-1513	80	24	εc1(𝑦)𝑒𝑖𝑤𝑡	εc1(𝑦)𝑒𝑖𝑤𝑡	NOUN
cana-1513	80	25	}	}	PUNCT
cana-1513	80	26	(	(	PUNCT
cana-1513	80	27	11	11	NUM
cana-1513	80	28	)	)	PUNCT
cana-1513	80	29	misra	misra	NOUN
cana-1513	80	30	and	and	CCONJ
cana-1513	80	31	shit	shit	NOUN
cana-1513	81	1	[	[	X
cana-1513	81	2	19	19	NUM
cana-1513	81	3	]	]	PUNCT
cana-1513	81	4	and	and	CCONJ
cana-1513	81	5	das	das	PROPN
cana-1513	81	6	and	and	CCONJ
cana-1513	81	7	das	das	PROPN
cana-1513	81	8	[	[	X
cana-1513	81	9	20	20	NUM
cana-1513	81	10	]	]	PUNCT
cana-1513	81	11	use	use	NOUN
cana-1513	81	12	the	the	DET
cana-1513	81	13	approach	approach	NOUN
cana-1513	81	14	described	describe	VERB
cana-1513	81	15	above	above	ADV
cana-1513	81	16	to	to	PART
cana-1513	81	17	solve	solve	VERB
cana-1513	81	18	a	a	DET
cana-1513	81	19	regularly	regularly	ADV
cana-1513	81	20	varying	vary	VERB
cana-1513	81	21	flow	flow	NOUN
cana-1513	81	22	problem	problem	NOUN
cana-1513	81	23	.	.	PUNCT
cana-1513	82	1	after	after	ADP
cana-1513	82	2	substituting	substitute	VERB
cana-1513	82	3	(	(	PUNCT
cana-1513	82	4	11	11	NUM
cana-1513	82	5	)	)	PUNCT
cana-1513	82	6	,	,	PUNCT
cana-1513	82	7	we	we	PRON
cana-1513	82	8	get	get	VERB
cana-1513	82	9	the	the	DET
cana-1513	82	10	harmonic	harmonic	NOUN
cana-1513	82	11	in	in	ADP
cana-1513	82	12	non	non	ADJ
cana-1513	82	13	-	-	ADJ
cana-1513	82	14	harmonic	harmonic	ADJ
cana-1513	82	15	terms	term	NOUN
cana-1513	82	16	of	of	ADP
cana-1513	82	17	(	(	PUNCT
cana-1513	82	18	7	7	NUM
cana-1513	82	19	)	)	PUNCT
cana-1513	82	20	,	,	PUNCT
cana-1513	82	21	(	(	PUNCT
cana-1513	82	22	8)	8)	NUM
cana-1513	82	23	,	,	PUNCT
cana-1513	82	24	and	and	CCONJ
cana-1513	82	25	(	(	PUNCT
cana-1513	82	26	9	9	X
cana-1513	82	27	)	)	PUNCT
cana-1513	82	28	𝑅𝑐𝑢𝜊	𝑅𝑐𝑢𝜊	PROPN
cana-1513	82	29	‴	‴	PUNCT
cana-1513	83	1	+	+	NUM
cana-1513	83	2	𝑢𝜊	𝑢𝜊	PROPN
cana-1513	83	3	″	″	PROPN
cana-1513	83	4	−	−	PROPN
cana-1513	83	5	(	(	PUNCT
cana-1513	83	6	𝑚2	𝑚2	NOUN
cana-1513	83	7	+	+	CCONJ
cana-1513	83	8	1	1	NUM
cana-1513	83	9	𝑘𝑝	𝑘𝑝	NOUN
cana-1513	83	10	)	)	PUNCT
cana-1513	83	11	𝑢𝜊	𝑢𝜊	PROPN
cana-1513	83	12	=	=	SYM
cana-1513	83	13	−𝐺𝑟𝑇𝜊𝐺𝑐c𝜊	−𝐺𝑟𝑇𝜊𝐺𝑐c𝜊	NOUN
cana-1513	83	14	(	(	PUNCT
cana-1513	83	15	12	12	NUM
cana-1513	83	16	)	)	PUNCT
cana-1513	83	17	𝑅𝑐𝑢1	𝑅𝑐𝑢1	NOUN
cana-1513	83	18	‴	‴	PUNCT
cana-1513	84	1	+	+	NUM
cana-1513	84	2	𝑢1	𝑢1	PROPN
cana-1513	84	3	″	″	PROPN
cana-1513	84	4	(	(	PUNCT
cana-1513	84	5	1	1	NUM
cana-1513	84	6	−	−	NOUN
cana-1513	84	7	𝑅𝑐𝑖𝑤	𝑅𝑐𝑖𝑤	NOUN
cana-1513	84	8	4	4	NUM
cana-1513	84	9	)	)	PUNCT
cana-1513	84	10	−	−	PROPN
cana-1513	84	11	(	(	PUNCT
cana-1513	84	12	𝑚2	𝑚2	NOUN
cana-1513	84	13	+	+	CCONJ
cana-1513	84	14	1	1	NUM
cana-1513	84	15	𝑘𝑝	𝑘𝑝	ADP
cana-1513	84	16	+	+	CCONJ
cana-1513	84	17	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	84	18	4	4	NUM
cana-1513	84	19	)	)	PUNCT
cana-1513	84	20	𝑢1	𝑢1	NOUN
cana-1513	84	21	=	=	SYM
cana-1513	84	22	−𝐺𝑐c1	−𝐺𝑐c1	PROPN
cana-1513	84	23	−	−	PROPN
cana-1513	84	24	𝐺𝑟𝑇1	𝐺𝑟𝑇1	NOUN
cana-1513	84	25	−	−	PROPN
cana-1513	84	26	𝑅𝑐𝑢𝜊	𝑅𝑐𝑢𝜊	PROPN
cana-1513	84	27	‴	‴	PUNCT
cana-1513	84	28	(	(	PUNCT
cana-1513	84	29	13	13	NUM
cana-1513	84	30	)	)	PUNCT
cana-1513	84	31	𝑇𝜊	𝑇𝜊	ADP
cana-1513	84	32	″	″	PROPN
cana-1513	84	33	−	−	PROPN
cana-1513	84	34	𝑃𝑟𝐻𝑇𝜊	𝑃𝑟𝐻𝑇𝜊	NOUN
cana-1513	84	35	=	=	PUNCT
cana-1513	85	1	−𝑅𝑃𝑟𝐶𝜊	−𝑅𝑃𝑟𝐶𝜊	PROPN
cana-1513	85	2	(	(	PUNCT
cana-1513	85	3	14	14	NUM
cana-1513	85	4	)	)	PUNCT
cana-1513	85	5	𝑇1	𝑇1	NOUN
cana-1513	85	6	″	″	PROPN
cana-1513	85	7	−	−	PROPN
cana-1513	85	8	(	(	PUNCT
cana-1513	85	9	𝐻	𝐻	NOUN
cana-1513	85	10	+	+	CCONJ
cana-1513	85	11	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	85	12	4	4	NUM
cana-1513	85	13	)	)	PUNCT
cana-1513	85	14	𝑃𝑟𝑇1	𝑃𝑟𝑇1	NOUN
cana-1513	85	15	=	=	PUNCT
cana-1513	85	16	−𝑅𝑃𝑟𝑐1	−𝑅𝑃𝑟𝑐1	PROPN
cana-1513	85	17	(	(	PUNCT
cana-1513	85	18	15	15	NUM
cana-1513	85	19	)	)	PUNCT
cana-1513	85	20	c𝜊	c𝜊	PROPN
cana-1513	86	1	″	″	PROPN
cana-1513	86	2	−	−	PROPN
cana-1513	86	3	𝑘𝑐𝑠𝑐𝑐𝜊	𝑘𝑐𝑠𝑐𝑐𝜊	VERB
cana-1513	86	4	=	=	PUNCT
cana-1513	86	5	−𝑠𝑟𝑠𝑐(1	−𝑠𝑟𝑠𝑐(1	PUNCT
cana-1513	87	1	+	+	CCONJ
cana-1513	87	2	𝑅𝑐)𝐵7𝜐1	𝑅𝑐)𝐵7𝜐1	PROPN
cana-1513	87	3	2𝑒𝜐1𝑦	2𝑒𝜐1𝑦	NUM
cana-1513	87	4	(	(	PUNCT
cana-1513	87	5	16	16	NUM
cana-1513	87	6	)	)	PUNCT
cana-1513	87	7	c1	c1	NOUN
cana-1513	87	8	′′	′′	PROPN
cana-1513	87	9	−	−	PROPN
cana-1513	87	10	(	(	PUNCT
cana-1513	87	11	𝑘𝑐	𝑘𝑐	PRON
cana-1513	87	12	+	+	CCONJ
cana-1513	87	13	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	87	14	4	4	NUM
cana-1513	87	15	)	)	PUNCT
cana-1513	87	16	𝑠𝑐𝑐1	𝑠𝑐𝑐1	PROPN
cana-1513	87	17	=	=	SYM
cana-1513	87	18	−𝑠𝑐𝑠𝑟(1	−𝑠𝑐𝑠𝑟(1	PROPN
cana-1513	87	19	+	+	PUNCT
cana-1513	87	20	𝑅𝑐	𝑅𝑐	NOUN
cana-1513	87	21	)	)	PUNCT
cana-1513	87	22	𝐵8	𝐵8	NOUN
cana-1513	87	23	𝜐2	𝜐2	VERB
cana-1513	87	24	2	2	NUM
cana-1513	87	25	𝑒𝜐2𝑦	𝑒𝜐2𝑦	NOUN
cana-1513	87	26	(	(	PUNCT
cana-1513	87	27	17	17	NUM
cana-1513	87	28	)	)	PUNCT
cana-1513	87	29	u0	u0	ADJ
cana-1513	87	30	=	=	NOUN
cana-1513	87	31	u1	u1	NOUN
cana-1513	87	32	=	=	SYM
cana-1513	87	33	0	0	NUM
cana-1513	87	34	,	,	PUNCT
cana-1513	87	35	t0	t0	X
cana-1513	87	36	=	=	PUNCT
cana-1513	88	1	t1	t1	NOUN
cana-1513	88	2	=	=	SYM
cana-1513	88	3	1	1	NUM
cana-1513	88	4	,	,	PUNCT
cana-1513	88	5	c0	c0	PROPN
cana-1513	88	6	=	=	PROPN
cana-1513	88	7	c1	c1	PROPN
cana-1513	88	8	=	=	NOUN
cana-1513	88	9	1	1	NUM
cana-1513	88	10	at	at	ADP
cana-1513	88	11	,	,	PUNCT
cana-1513	88	12	y	y	PROPN
cana-1513	88	13	=	=	SYM
cana-1513	88	14	0	0	NUM
cana-1513	88	15	u0	u0	ADJ
cana-1513	88	16	=	=	NOUN
cana-1513	88	17	u1	u1	PROPN
cana-1513	88	18	→	→	SYM
cana-1513	88	19	0	0	NUM
cana-1513	88	20	,	,	PUNCT
cana-1513	88	21	t0	t0	X
cana-1513	88	22	=	=	PUNCT
cana-1513	88	23	t1	t1	PROPN
cana-1513	88	24	→	→	SYM
cana-1513	88	25	1	1	NUM
cana-1513	88	26	,	,	PUNCT
cana-1513	88	27	c0	c0	PROPN
cana-1513	88	28	=	=	PROPN
cana-1513	88	29	c1	c1	PROPN
cana-1513	88	30	→	→	SYM
cana-1513	88	31	1	1	NUM
cana-1513	88	32	at	at	ADP
cana-1513	88	33	,	,	PUNCT
cana-1513	88	34	y	y	PROPN
cana-1513	88	35	→	→	SYM
cana-1513	88	36	∞	∞	PROPN
cana-1513	88	37	(	(	PUNCT
cana-1513	88	38	18	18	NUM
cana-1513	88	39	)	)	PUNCT
cana-1513	88	40	equations	equation	NOUN
cana-1513	88	41	(	(	PUNCT
cana-1513	88	42	12	12	NUM
cana-1513	88	43	)	)	PUNCT
cana-1513	88	44	and	and	CCONJ
cana-1513	88	45	(	(	PUNCT
cana-1513	88	46	13	13	NUM
cana-1513	88	47	)	)	PUNCT
cana-1513	88	48	are	be	AUX
cana-1513	88	49	third	third	ADJ
cana-1513	88	50	order	order	NOUN
cana-1513	88	51	,	,	PUNCT
cana-1513	88	52	but	but	CCONJ
cana-1513	88	53	still	still	ADV
cana-1513	88	54	,	,	PUNCT
cana-1513	88	55	we	we	PRON
cana-1513	88	56	get	get	VERB
cana-1513	88	57	two	two	NUM
cana-1513	88	58	boundary	boundary	ADJ
cana-1513	88	59	conditions	condition	NOUN
cana-1513	88	60	.	.	PUNCT
cana-1513	89	1	therefore	therefore	ADV
cana-1513	89	2	,	,	PUNCT
cana-1513	89	3	our	our	PRON
cana-1513	89	4	perturbation	perturbation	NOUN
cana-1513	89	5	method	method	NOUN
cana-1513	89	6	for	for	ADP
cana-1513	89	7	the	the	DET
cana-1513	89	8	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	89	9	(	(	PUNCT
cana-1513	89	10	elastic	elastic	ADJ
cana-1513	89	11	parameter	parameter	NOUN
cana-1513	89	12	)	)	PUNCT
cana-1513	89	13	is	be	AUX
cana-1513	89	14	,	,	PUNCT
cana-1513	89	15	𝑢0	𝑢0	NOUN
cana-1513	89	16	=	=	SYM
cana-1513	89	17	𝑢00(𝑦	𝑢00(𝑦	ADJ
cana-1513	89	18	)	)	PUNCT
cana-1513	89	19	+	+	CCONJ
cana-1513	89	20	𝑅𝑐𝑢01(𝑦	𝑅𝑐𝑢01(𝑦	PROPN
cana-1513	89	21	)	)	PUNCT
cana-1513	90	1	+	+	CCONJ
cana-1513	90	2	0(𝑅𝑐	0(𝑅𝑐	NUM
cana-1513	90	3	2	2	X
cana-1513	90	4	)	)	PUNCT
cana-1513	90	5	𝑢1	𝑢1	NOUN
cana-1513	90	6	=	=	PROPN
cana-1513	90	7	𝑢10(𝑦	𝑢10(𝑦	PRON
cana-1513	90	8	)	)	PUNCT
cana-1513	91	1	+	+	CCONJ
cana-1513	91	2	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	91	3	𝑢10	𝑢10	NOUN
cana-1513	91	4	(	(	PUNCT
cana-1513	91	5	𝑦	𝑦	NOUN
cana-1513	91	6	)	)	PUNCT
cana-1513	91	7	+	+	NUM
cana-1513	91	8	0(r𝑐	0(r𝑐	NOUN
cana-1513	91	9	2	2	NUM
cana-1513	91	10	)	)	PUNCT
cana-1513	91	11	}	}	PUNCT
cana-1513	91	12	(	(	PUNCT
cana-1513	91	13	19	19	NUM
cana-1513	91	14	)	)	PUNCT
cana-1513	91	15	substituting	substituting	NOUN
cana-1513	91	16	(	(	PUNCT
cana-1513	91	17	19	19	NUM
cana-1513	91	18	)	)	PUNCT
cana-1513	91	19	in	in	ADP
cana-1513	91	20	(	(	PUNCT
cana-1513	91	21	12	12	NUM
cana-1513	91	22	)	)	PUNCT
cana-1513	91	23	and	and	CCONJ
cana-1513	91	24	(	(	PUNCT
cana-1513	91	25	13	13	NUM
cana-1513	91	26	)	)	PUNCT
cana-1513	91	27	and	and	CCONJ
cana-1513	91	28	equating	equate	VERB
cana-1513	91	29	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	91	30	2	2	NUM
cana-1513	91	31	and	and	CCONJ
cana-1513	91	32	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	91	33	co	co	ADJ
cana-1513	91	34	-	-	ADJ
cana-1513	91	35	efficient	efficient	ADJ
cana-1513	92	1	we	we	PRON
cana-1513	92	2	get	get	VERB
cana-1513	92	3	other	other	ADJ
cana-1513	92	4	following	follow	VERB
cana-1513	92	5	ordinary	ordinary	ADJ
cana-1513	92	6	differential	differential	ADJ
cana-1513	92	7	equations	equation	NOUN
cana-1513	92	8	zeroth	zeroth	PRON
cana-1513	92	9	order	order	NOUN
cana-1513	92	10	equations	equation	NOUN
cana-1513	92	11	𝑢00	𝑢00	PROPN
cana-1513	92	12	″	″	PROPN
cana-1513	92	13	−	−	PROPN
cana-1513	93	1	(	(	PUNCT
cana-1513	93	2	𝑚2	𝑚2	NOUN
cana-1513	93	3	+	+	CCONJ
cana-1513	93	4	1	1	NUM
cana-1513	93	5	𝑘𝑝	𝑘𝑝	ADJ
cana-1513	93	6	)	)	PUNCT
cana-1513	93	7	𝑢00	𝑢00	NOUN
cana-1513	93	8	=	=	SYM
cana-1513	94	1	−𝐺𝑐𝑐0	−𝐺𝑐𝑐0	ADJ
cana-1513	94	2	−	−	NOUN
cana-1513	94	3	𝐺𝑟𝑇0	𝐺𝑟𝑇0	NOUN
cana-1513	94	4	(	(	PUNCT
cana-1513	94	5	20	20	NUM
cana-1513	94	6	)	)	PUNCT
cana-1513	94	7	𝑢01	𝑢01	NOUN
cana-1513	94	8	″	″	PROPN
cana-1513	94	9	−	−	PROPN
cana-1513	94	10	(	(	PUNCT
cana-1513	94	11	𝑚2	𝑚2	NOUN
cana-1513	94	12	+	+	CCONJ
cana-1513	94	13	1	1	NUM
cana-1513	94	14	𝑘𝑝	𝑘𝑝	ADJ
cana-1513	94	15	)	)	PUNCT
cana-1513	94	16	𝑢01	𝑢01	NOUN
cana-1513	94	17	=	=	PUNCT
cana-1513	94	18	−𝑢00	−𝑢00	X
cana-1513	94	19	‴	‴	PUNCT
cana-1513	94	20	(	(	PUNCT
cana-1513	94	21	21	21	NUM
cana-1513	94	22	)	)	PUNCT
cana-1513	94	23	first	first	ADJ
cana-1513	94	24	order	order	NOUN
cana-1513	94	25	equations	equation	NOUN
cana-1513	94	26	communications	communication	NOUN
cana-1513	94	27	on	on	ADP
cana-1513	94	28	applied	apply	VERB
cana-1513	94	29	nonlinear	nonlinear	ADJ
cana-1513	94	30	analysis	analysis	NOUN
cana-1513	94	31	issn	issn	NOUN
cana-1513	94	32	:	:	PUNCT
cana-1513	94	33	1074	1074	NUM
cana-1513	94	34	-	-	PUNCT
cana-1513	94	35	133x	133x	NUM
cana-1513	94	36	vol	vol	NOUN
cana-1513	94	37	31	31	NUM
cana-1513	94	38	no	no	NOUN
cana-1513	94	39	.	.	PUNCT
cana-1513	95	1	8s	8s	PROPN
cana-1513	95	2	(	(	PUNCT
cana-1513	95	3	2024	2024	NUM
cana-1513	95	4	)	)	PUNCT
cana-1513	95	5	369	369	NUM
cana-1513	95	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	95	7	𝑢10	𝑢10	PROPN
cana-1513	95	8	″	″	PROPN
cana-1513	95	9	−	−	PROPN
cana-1513	95	10	(	(	PUNCT
cana-1513	95	11	𝑚2	𝑚2	NOUN
cana-1513	95	12	+	+	CCONJ
cana-1513	95	13	1	1	NUM
cana-1513	95	14	𝑘𝑝	𝑘𝑝	ADP
cana-1513	95	15	+	+	CCONJ
cana-1513	95	16	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	95	17	4	4	NUM
cana-1513	95	18	)	)	PUNCT
cana-1513	95	19	𝑢10	𝑢10	NOUN
cana-1513	95	20	=	=	SYM
cana-1513	95	21	−𝐺𝑐𝑐1	−𝐺𝑐𝑐1	PROPN
cana-1513	95	22	−	−	ADJ
cana-1513	95	23	𝐺𝑟𝑇1	𝐺𝑟𝑇1	NOUN
cana-1513	95	24	(	(	PUNCT
cana-1513	95	25	22	22	NUM
cana-1513	95	26	)	)	PUNCT
cana-1513	95	27	𝑢11	𝑢11	NOUN
cana-1513	95	28	″	″	PROPN
cana-1513	95	29	−	−	PROPN
cana-1513	95	30	(	(	PUNCT
cana-1513	95	31	𝑚2	𝑚2	NOUN
cana-1513	95	32	+	+	CCONJ
cana-1513	95	33	1	1	NUM
cana-1513	95	34	𝑘𝑝	𝑘𝑝	ADP
cana-1513	95	35	+	+	CCONJ
cana-1513	95	36	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	95	37	4	4	NUM
cana-1513	95	38	)	)	PUNCT
cana-1513	95	39	𝑢11	𝑢11	NOUN
cana-1513	95	40	=	=	PUNCT
cana-1513	95	41	−𝑢00	−𝑢00	PUNCT
cana-1513	95	42	‴	‴	PUNCT
cana-1513	96	1	−	−	NOUN
cana-1513	96	2	𝑢10	𝑢10	NOUN
cana-1513	96	3	‴	‴	PUNCT
cana-1513	97	1	+	+	CCONJ
cana-1513	97	2	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	97	3	4	4	NUM
cana-1513	97	4	𝑢10	𝑢10	NOUN
cana-1513	97	5	″	″	PROPN
cana-1513	97	6	(	(	PUNCT
cana-1513	97	7	23	23	NUM
cana-1513	97	8	)	)	PUNCT
cana-1513	97	9	applying	apply	VERB
cana-1513	97	10	boundary	boundary	ADJ
cana-1513	97	11	conditions	condition	NOUN
cana-1513	97	12	for	for	ADP
cana-1513	97	13	equations	equation	NOUN
cana-1513	97	14	(	(	PUNCT
cana-1513	97	15	14	14	NUM
cana-1513	97	16	)	)	PUNCT
cana-1513	97	17	and	and	CCONJ
cana-1513	97	18	(	(	PUNCT
cana-1513	97	19	15	15	NUM
cana-1513	97	20	)	)	PUNCT
cana-1513	97	21	with	with	ADP
cana-1513	97	22	the	the	DET
cana-1513	97	23	regular	regular	ADJ
cana-1513	97	24	perturbation	perturbation	NOUN
cana-1513	97	25	method	method	NOUN
cana-1513	97	26	,	,	PUNCT
cana-1513	97	27	we	we	PRON
cana-1513	97	28	get	get	VERB
cana-1513	97	29	𝑇0	𝑇0	NOUN
cana-1513	97	30	=	=	PUNCT
cana-1513	97	31	𝑇00(𝑦	𝑇00(𝑦	NOUN
cana-1513	97	32	)	)	PUNCT
cana-1513	98	1	+	+	CCONJ
cana-1513	98	2	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	98	3	𝑇01	𝑇01	PROPN
cana-1513	98	4	(	(	PUNCT
cana-1513	98	5	𝑦	𝑦	NOUN
cana-1513	98	6	)	)	PUNCT
cana-1513	98	7	𝑇1	𝑇1	NOUN
cana-1513	98	8	=	=	SYM
cana-1513	98	9	𝑇10(𝑦	𝑇10(𝑦	PROPN
cana-1513	98	10	)	)	PUNCT
cana-1513	99	1	+	+	CCONJ
cana-1513	99	2	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	99	3	𝑇10	𝑇10	PROPN
cana-1513	99	4	(	(	PUNCT
cana-1513	99	5	𝑦	𝑦	NOUN
cana-1513	99	6	)	)	PUNCT
cana-1513	99	7	}	}	PUNCT
cana-1513	99	8	(	(	PUNCT
cana-1513	99	9	24	24	NUM
cana-1513	99	10	)	)	PUNCT
cana-1513	99	11	substituting	substituting	NOUN
cana-1513	99	12	(	(	PUNCT
cana-1513	99	13	24	24	NUM
cana-1513	99	14	)	)	PUNCT
cana-1513	99	15	in	in	ADP
cana-1513	99	16	(	(	PUNCT
cana-1513	99	17	14	14	NUM
cana-1513	99	18	)	)	PUNCT
cana-1513	99	19	and	and	CCONJ
cana-1513	99	20	(	(	PUNCT
cana-1513	99	21	15	15	NUM
cana-1513	99	22	)	)	PUNCT
cana-1513	99	23	and	and	CCONJ
cana-1513	99	24	equating	equate	VERB
cana-1513	99	25	rc	rc	PROPN
cana-1513	99	26	and	and	CCONJ
cana-1513	99	27	constants	constant	NOUN
cana-1513	99	28	.	.	PUNCT
cana-1513	100	1	we	we	PRON
cana-1513	100	2	obtain	obtain	VERB
cana-1513	100	3	the	the	DET
cana-1513	100	4	following	follow	VERB
cana-1513	100	5	ordinary	ordinary	ADJ
cana-1513	100	6	differential	differential	ADJ
cana-1513	100	7	equations	equation	NOUN
cana-1513	100	8	zeroth	zeroth	PRON
cana-1513	100	9	order	order	NOUN
cana-1513	100	10	equations	equation	NOUN
cana-1513	100	11	𝑇00	𝑇00	PROPN
cana-1513	100	12	″	″	PROPN
cana-1513	100	13	−	−	PROPN
cana-1513	101	1	𝑃𝑟𝐻𝑇00	𝑃𝑟𝐻𝑇00	PROPN
cana-1513	101	2	=	=	SYM
cana-1513	101	3	−𝑅𝑃𝑟𝐶0	−𝑅𝑃𝑟𝐶0	PROPN
cana-1513	101	4	(	(	PUNCT
cana-1513	101	5	25	25	NUM
cana-1513	101	6	)	)	PUNCT
cana-1513	101	7	𝑇01	𝑇01	PROPN
cana-1513	101	8	″	″	PROPN
cana-1513	101	9	−	−	PROPN
cana-1513	101	10	𝑃𝑟𝐻𝑇01	𝑃𝑟𝐻𝑇01	PROPN
cana-1513	101	11	=	=	SYM
cana-1513	101	12	0	0	PUNCT
cana-1513	101	13	(	(	PUNCT
cana-1513	101	14	26	26	NUM
cana-1513	101	15	)	)	PUNCT
cana-1513	101	16	first	first	ADJ
cana-1513	101	17	order	order	NOUN
cana-1513	101	18	equations	equation	NOUN
cana-1513	101	19	𝑇10	𝑇10	VERB
cana-1513	101	20	″	″	PROPN
cana-1513	101	21	−	−	PROPN
cana-1513	102	1	(	(	PUNCT
cana-1513	102	2	𝐻	𝐻	NOUN
cana-1513	102	3	+	+	CCONJ
cana-1513	102	4	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	102	5	4	4	NUM
cana-1513	102	6	)	)	PUNCT
cana-1513	102	7	𝑃𝑟𝑇10	𝑃𝑟𝑇10	NOUN
cana-1513	102	8	=	=	SYM
cana-1513	102	9	−𝑅𝑃𝑟𝐶1	−𝑅𝑃𝑟𝐶1	PROPN
cana-1513	102	10	(	(	PUNCT
cana-1513	102	11	27	27	NUM
cana-1513	102	12	)	)	PUNCT
cana-1513	102	13	𝑇11	𝑇11	PROPN
cana-1513	102	14	″	″	PROPN
cana-1513	102	15	−	−	PROPN
cana-1513	103	1	(	(	PUNCT
cana-1513	103	2	𝐻	𝐻	NOUN
cana-1513	103	3	+	+	CCONJ
cana-1513	103	4	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	103	5	4	4	NUM
cana-1513	103	6	)	)	PUNCT
cana-1513	103	7	𝑃𝑟𝑇11	𝑃𝑟𝑇11	PROPN
cana-1513	103	8	=	=	SYM
cana-1513	103	9	0	0	NUM
cana-1513	103	10	(	(	PUNCT
cana-1513	103	11	28	28	NUM
cana-1513	103	12	)	)	PUNCT
cana-1513	103	13	applying	apply	VERB
cana-1513	103	14	boundary	boundary	ADJ
cana-1513	103	15	conditions	condition	NOUN
cana-1513	103	16	for	for	ADP
cana-1513	103	17	equations	equation	NOUN
cana-1513	103	18	(	(	PUNCT
cana-1513	103	19	16	16	NUM
cana-1513	103	20	)	)	PUNCT
cana-1513	103	21	and	and	CCONJ
cana-1513	103	22	(	(	PUNCT
cana-1513	103	23	17	17	NUM
cana-1513	103	24	)	)	PUNCT
cana-1513	103	25	with	with	ADP
cana-1513	103	26	the	the	DET
cana-1513	103	27	regular	regular	ADJ
cana-1513	103	28	perturbation	perturbation	NOUN
cana-1513	103	29	method	method	NOUN
cana-1513	103	30	we	we	PRON
cana-1513	103	31	get	get	VERB
cana-1513	103	32	c0	c0	PROPN
cana-1513	103	33	=	=	SYM
cana-1513	103	34	𝐶00(𝑦	𝐶00(𝑦	PROPN
cana-1513	103	35	)	)	PUNCT
cana-1513	103	36	+	+	CCONJ
cana-1513	103	37	𝑅𝑐𝐶01(𝑦	𝑅𝑐𝐶01(𝑦	NOUN
cana-1513	103	38	)	)	PUNCT
cana-1513	103	39	c1	c1	NOUN
cana-1513	103	40	=	=	PROPN
cana-1513	103	41	c10(𝑦	c10(𝑦	PROPN
cana-1513	103	42	)	)	PUNCT
cana-1513	103	43	+	+	PUNCT
cana-1513	103	44	𝑅𝑐c10(𝑦	𝑅𝑐c10(𝑦	X
cana-1513	103	45	)	)	PUNCT
cana-1513	103	46	}	}	PUNCT
cana-1513	103	47	(	(	PUNCT
cana-1513	103	48	29	29	NUM
cana-1513	103	49	)	)	PUNCT
cana-1513	103	50	substituting	substitute	VERB
cana-1513	103	51	(	(	PUNCT
cana-1513	103	52	29	29	NUM
cana-1513	103	53	)	)	PUNCT
cana-1513	103	54	in	in	ADP
cana-1513	103	55	(	(	PUNCT
cana-1513	103	56	16	16	NUM
cana-1513	103	57	)	)	PUNCT
cana-1513	103	58	and	and	CCONJ
cana-1513	103	59	(	(	PUNCT
cana-1513	103	60	17	17	NUM
cana-1513	103	61	)	)	PUNCT
cana-1513	103	62	and	and	CCONJ
cana-1513	103	63	equating	equate	VERB
cana-1513	103	64	rc	rc	PROPN
cana-1513	103	65	and	and	CCONJ
cana-1513	103	66	constants	constant	NOUN
cana-1513	103	67	zeroth	zeroth	PROPN
cana-1513	103	68	order	order	NOUN
cana-1513	103	69	equations	equation	NOUN
cana-1513	103	70	c00	c00	NOUN
cana-1513	103	71	″	″	PROPN
cana-1513	103	72	−	−	PROPN
cana-1513	103	73	𝑘𝑐𝑠𝑐c00	𝑘𝑐𝑠𝑐c00	NOUN
cana-1513	103	74	=	=	SYM
cana-1513	103	75	−𝑠𝑟𝑠𝑐𝐵7ℓ1	−𝑠𝑟𝑠𝑐𝐵7ℓ1	NOUN
cana-1513	103	76	2𝑒ℓ1𝑦	2𝑒ℓ1𝑦	NUM
cana-1513	103	77	(	(	PUNCT
cana-1513	103	78	30	30	NUM
cana-1513	103	79	)	)	PUNCT
cana-1513	103	80	c01	c01	NOUN
cana-1513	103	81	″	″	PROPN
cana-1513	103	82	−	−	PROPN
cana-1513	103	83	𝑘𝑐𝑠𝑐c01	𝑘𝑐𝑠𝑐c01	NOUN
cana-1513	103	84	=	=	PUNCT
cana-1513	103	85	−𝑠𝑟𝑠𝑐𝐵7ℓ1	−𝑠𝑟𝑠𝑐𝐵7ℓ1	PROPN
cana-1513	103	86	2𝑒ℓ1𝑦	2𝑒ℓ1𝑦	NUM
cana-1513	103	87	(	(	PUNCT
cana-1513	103	88	31	31	NUM
cana-1513	103	89	)	)	PUNCT
cana-1513	103	90	first	first	ADJ
cana-1513	103	91	order	order	NOUN
cana-1513	103	92	equations	equation	NOUN
cana-1513	103	93	c10	c10	VERB
cana-1513	103	94	″	″	PROPN
cana-1513	103	95	−	−	PROPN
cana-1513	103	96	(	(	PUNCT
cana-1513	103	97	𝑠𝑐𝑘𝑐	𝑠𝑐𝑘𝑐	VERB
cana-1513	103	98	+	+	CCONJ
cana-1513	104	1	𝑠𝑐	𝑠𝑐	NOUN
cana-1513	104	2	𝑖𝑤	𝑖𝑤	ADP
cana-1513	104	3	4	4	NUM
cana-1513	104	4	)	)	PUNCT
cana-1513	105	1	c10	c10	VERB
cana-1513	105	2	=	=	PROPN
cana-1513	105	3	−𝑠𝑐𝑠𝑟𝐵8ℓ2	−𝑠𝑐𝑠𝑟𝐵8ℓ2	PROPN
cana-1513	105	4	2𝑒ℓ2𝑦	2𝑒ℓ2𝑦	NUM
cana-1513	105	5	(	(	PUNCT
cana-1513	105	6	32	32	NUM
cana-1513	105	7	)	)	PUNCT
cana-1513	105	8	c11	c11	NOUN
cana-1513	105	9	″	″	PROPN
cana-1513	105	10	−	−	PROPN
cana-1513	105	11	𝑠𝑐𝑘𝑐𝑐11(𝑦	𝑠𝑐𝑘𝑐𝑐11(𝑦	PROPN
cana-1513	105	12	)	)	PUNCT
cana-1513	105	13	−	−	PROPN
cana-1513	106	1	𝑠𝑐	𝑠𝑐	PRON
cana-1513	106	2	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	106	3	4	4	NUM
cana-1513	106	4	c11	c11	NOUN
cana-1513	106	5	=	=	NOUN
cana-1513	106	6	−𝑠𝑐𝑠𝑟𝐵8ℓ2	−𝑠𝑐𝑠𝑟𝐵8ℓ2	NOUN
cana-1513	106	7	2𝑒ℓ2𝑦	2𝑒ℓ2𝑦	NUM
cana-1513	106	8	(	(	PUNCT
cana-1513	106	9	33	33	NUM
cana-1513	106	10	)	)	PUNCT
cana-1513	106	11	the	the	DET
cana-1513	106	12	corresponding	corresponding	ADJ
cana-1513	106	13	boundary	boundary	ADJ
cana-1513	106	14	conditions	condition	NOUN
cana-1513	106	15	are	be	AUX
cana-1513	106	16	,	,	PUNCT
cana-1513	106	17	𝑢00	𝑢00	NOUN
cana-1513	106	18	=	=	SYM
cana-1513	106	19	𝑢01	𝑢01	NOUN
cana-1513	106	20	→	→	SYM
cana-1513	106	21	0	0	NUM
cana-1513	106	22	,	,	PUNCT
cana-1513	106	23	𝑢10	𝑢10	NOUN
cana-1513	106	24	=	=	SYM
cana-1513	106	25	𝑢11	𝑢11	PROPN
cana-1513	106	26	→	→	SYM
cana-1513	106	27	0	0	NUM
cana-1513	106	28	,	,	PUNCT
cana-1513	106	29	𝑇00	𝑇00	PROPN
cana-1513	106	30	=	=	SYM
cana-1513	106	31	𝑇01	𝑇01	PROPN
cana-1513	106	32	→	→	SYM
cana-1513	106	33	0	0	NUM
cana-1513	106	34	,	,	PUNCT
cana-1513	106	35	𝑇10	𝑇10	PROPN
cana-1513	106	36	=	=	SYM
cana-1513	107	1	𝑇11	𝑇11	PROPN
cana-1513	107	2	→	→	SYM
cana-1513	107	3	0	0	NUM
cana-1513	107	4	,	,	PUNCT
cana-1513	107	5	𝐶00	𝐶00	PROPN
cana-1513	107	6	=	=	SYM
cana-1513	107	7	𝐶01	𝐶01	PROPN
cana-1513	107	8	→	→	SYM
cana-1513	107	9	0	0	NUM
cana-1513	107	10	,	,	PUNCT
cana-1513	107	11	𝐶10	𝐶10	PROPN
cana-1513	107	12	=	=	SYM
cana-1513	107	13	𝐶11	𝐶11	PROPN
cana-1513	107	14	→	→	SYM
cana-1513	107	15	0	0	NUM
cana-1513	107	16	as	as	ADP
cana-1513	107	17	𝑦	𝑦	NOUN
cana-1513	107	18	=	=	SYM
cana-1513	107	19	0	0	PROPN
cana-1513	107	20	and	and	CCONJ
cana-1513	107	21	𝑢00	𝑢00	NOUN
cana-1513	107	22	=	=	SYM
cana-1513	107	23	𝑢01	𝑢01	NOUN
cana-1513	107	24	→	→	SYM
cana-1513	107	25	0	0	NUM
cana-1513	107	26	,	,	PUNCT
cana-1513	107	27	𝑢10	𝑢10	NOUN
cana-1513	107	28	=	=	SYM
cana-1513	107	29	𝑢11	𝑢11	PROPN
cana-1513	107	30	→	→	SYM
cana-1513	107	31	0	0	NUM
cana-1513	107	32	,	,	PUNCT
cana-1513	107	33	𝑇00	𝑇00	PROPN
cana-1513	107	34	=	=	SYM
cana-1513	107	35	𝑇01	𝑇01	PROPN
cana-1513	107	36	→	→	SYM
cana-1513	107	37	0	0	NUM
cana-1513	107	38	,	,	PUNCT
cana-1513	107	39	𝑇10	𝑇10	PROPN
cana-1513	107	40	=	=	SYM
cana-1513	108	1	𝑇11	𝑇11	PROPN
cana-1513	108	2	→	→	SYM
cana-1513	108	3	0	0	NUM
cana-1513	108	4	,	,	PUNCT
cana-1513	108	5	𝑐00	𝑐00	NOUN
cana-1513	108	6	=	=	SYM
cana-1513	108	7	𝑐01	𝑐01	PROPN
cana-1513	108	8	→	→	SYM
cana-1513	108	9	0	0	NUM
cana-1513	108	10	,	,	PUNCT
cana-1513	108	11	𝑐10	𝑐10	NOUN
cana-1513	108	12	=	=	SYM
cana-1513	108	13	𝑐11	𝑐11	NOUN
cana-1513	108	14	→	→	SYM
cana-1513	108	15	0	0	NUM
cana-1513	108	16	communications	communication	NOUN
cana-1513	108	17	on	on	ADP
cana-1513	108	18	applied	apply	VERB
cana-1513	108	19	nonlinear	nonlinear	ADJ
cana-1513	108	20	analysis	analysis	NOUN
cana-1513	108	21	issn	issn	NOUN
cana-1513	108	22	:	:	PUNCT
cana-1513	108	23	1074	1074	NUM
cana-1513	108	24	-	-	PUNCT
cana-1513	108	25	133x	133x	NUM
cana-1513	108	26	vol	vol	NOUN
cana-1513	108	27	31	31	NUM
cana-1513	108	28	no	no	NOUN
cana-1513	108	29	.	.	PUNCT
cana-1513	109	1	8s	8s	PROPN
cana-1513	109	2	(	(	PUNCT
cana-1513	109	3	2024	2024	NUM
cana-1513	109	4	)	)	PUNCT
cana-1513	109	5	370	370	NUM
cana-1513	109	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	109	7	as	as	ADP
cana-1513	109	8	𝑦	𝑦	NOUN
cana-1513	109	9	=	=	SYM
cana-1513	109	10	∞	∞	PROPN
cana-1513	109	11	(	(	PUNCT
cana-1513	109	12	34	34	NUM
cana-1513	109	13	)	)	PUNCT
cana-1513	109	14	solving	solve	VERB
cana-1513	109	15	the	the	DET
cana-1513	109	16	above	above	ADJ
cana-1513	109	17	differential	differential	ADJ
cana-1513	109	18	equations	equation	NOUN
cana-1513	109	19	with	with	ADP
cana-1513	109	20	help	help	NOUN
cana-1513	109	21	of	of	ADP
cana-1513	109	22	boundary	boundary	ADJ
cana-1513	109	23	conditions	condition	NOUN
cana-1513	109	24	,	,	PUNCT
cana-1513	109	25	we	we	PRON
cana-1513	109	26	get	get	VERB
cana-1513	109	27	𝑢(𝑦	𝑢(𝑦	NOUN
cana-1513	109	28	,	,	PUNCT
cana-1513	109	29	𝑡	𝑡	NOUN
cana-1513	109	30	)	)	PUNCT
cana-1513	109	31	=	=	PUNCT
cana-1513	110	1	𝐵2(𝑒−√𝑎1𝑦	𝐵2(𝑒−√𝑎1𝑦	PROPN
cana-1513	111	1	−	−	PROPN
cana-1513	111	2	𝑒√𝑎1𝑦	𝑒√𝑎1𝑦	PROPN
cana-1513	111	3	)	)	PUNCT
cana-1513	111	4	−	−	PROPN
cana-1513	111	5	(	(	PUNCT
cana-1513	111	6	𝐺𝑟𝑇0	𝐺𝑟𝑇0	NUM
cana-1513	111	7	+	+	CCONJ
cana-1513	111	8	𝐺𝑐𝑐0	𝐺𝑐𝑐0	X
cana-1513	111	9	)	)	PUNCT
cana-1513	111	10	𝑦	𝑦	NOUN
cana-1513	111	11	𝑎1	𝑎1	NOUN
cana-1513	111	12	+	+	CCONJ
cana-1513	111	13	𝑅𝑐[𝐵1(𝑒−√𝑎1𝑦	𝑅𝑐[𝐵1(𝑒−√𝑎1𝑦	NUM
cana-1513	111	14	−	−	PROPN
cana-1513	111	15	𝑒√𝑎1𝑦	𝑒√𝑎1𝑦	PROPN
cana-1513	111	16	−	−	PROPN
cana-1513	111	17	𝑎1	𝑎1	NOUN
cana-1513	111	18	2𝑒𝑎1𝑦𝑦	2𝑒𝑎1𝑦𝑦	NUM
cana-1513	111	19	)	)	PUNCT
cana-1513	111	20	]	]	PUNCT
cana-1513	112	1	+	+	CCONJ
cana-1513	112	2	𝜀𝑒𝑖𝑤𝑡	𝜀𝑒𝑖𝑤𝑡	NOUN
cana-1513	112	3	[	[	X
cana-1513	112	4	𝐵3(𝑒−√𝑎2𝑦	𝐵3(𝑒−√𝑎2𝑦	INTJ
cana-1513	112	5	−	−	PROPN
cana-1513	112	6	𝑒√𝑎2𝑦	𝑒√𝑎2𝑦	PROPN
cana-1513	112	7	)	)	PUNCT
cana-1513	112	8	−	−	PROPN
cana-1513	112	9	(	(	PUNCT
cana-1513	112	10	𝐺𝑟𝑇1	𝐺𝑟𝑇1	NOUN
cana-1513	112	11	+	+	CCONJ
cana-1513	112	12	𝐺𝑐𝑐0	𝐺𝑐𝑐0	X
cana-1513	112	13	)	)	PUNCT
cana-1513	113	1	𝑦	𝑦	NOUN
cana-1513	113	2	𝑎2	𝑎2	NOUN
cana-1513	113	3	+	+	CCONJ
cana-1513	113	4	𝑅𝑐	𝑅𝑐	PROPN
cana-1513	113	5	(	(	PUNCT
cana-1513	113	6	𝐵4(𝑒−√𝑎2𝑦	𝐵4(𝑒−√𝑎2𝑦	NOUN
cana-1513	113	7	−	−	PROPN
cana-1513	113	8	𝑒√𝑎2𝑦	𝑒√𝑎2𝑦	PROPN
cana-1513	113	9	)	)	PUNCT
cana-1513	113	10	−	−	PROPN
cana-1513	113	11	𝐵1𝑎1	𝐵1𝑎1	PROPN
cana-1513	113	12	2𝑒𝑎1𝑦𝑦	2𝑒𝑎1𝑦𝑦	NUM
cana-1513	113	13	−	−	PRON
cana-1513	113	14	𝐵2𝑎2	𝐵2𝑎2	NOUN
cana-1513	113	15	2𝑒𝑎2𝑦𝑦	2𝑒𝑎2𝑦𝑦	NUM
cana-1513	113	16	+	+	CCONJ
cana-1513	113	17	𝑖𝑤	𝑖𝑤	NOUN
cana-1513	113	18	4	4	NUM
cana-1513	113	19	𝐵2𝑎2𝑒𝑎2𝑦𝑦	𝐵2𝑎2𝑒𝑎2𝑦𝑦	VERB
cana-1513	113	20	)	)	PUNCT
cana-1513	114	1	]	]	PUNCT
cana-1513	114	2	(	(	PUNCT
cana-1513	114	3	35	35	NUM
cana-1513	114	4	)	)	PUNCT
cana-1513	114	5	𝑇	𝑇	PROPN
cana-1513	114	6	(	(	PUNCT
cana-1513	114	7	𝑦	𝑦	NOUN
cana-1513	114	8	,	,	PUNCT
cana-1513	114	9	𝑡	𝑡	NOUN
cana-1513	114	10	)	)	PUNCT
cana-1513	114	11	=	=	NUM
cana-1513	114	12	𝐵5	𝐵5	NOUN
cana-1513	114	13	(	(	PUNCT
cana-1513	114	14	𝑒−√𝑏1𝑦	𝑒−√𝑏1𝑦	ADJ
cana-1513	114	15	−	−	ADP
cana-1513	114	16	𝑒√𝑏1𝑦	𝑒√𝑏1𝑦	NOUN
cana-1513	114	17	)	)	PUNCT
cana-1513	114	18	−	−	NOUN
cana-1513	114	19	𝑅𝑃𝑟	𝑅𝑃𝑟	VERB
cana-1513	114	20	𝛾1	𝛾1	VERB
cana-1513	114	21	𝑐0𝑦	𝑐0𝑦	NOUN
cana-1513	114	22	+	+	CCONJ
cana-1513	114	23	𝜀𝑒𝑖𝑤𝑡	𝜀𝑒𝑖𝑤𝑡	NOUN
cana-1513	114	24	(	(	PUNCT
cana-1513	114	25	𝐵8	𝐵8	PROPN
cana-1513	114	26	(	(	PUNCT
cana-1513	114	27	𝑒−√𝑏1𝑦	𝑒−√𝑏1𝑦	ADJ
cana-1513	114	28	−	−	ADP
cana-1513	114	29	𝑒√𝑏1𝑦	𝑒√𝑏1𝑦	NOUN
cana-1513	114	30	)	)	PUNCT
cana-1513	114	31	)	)	PUNCT
cana-1513	114	32	(	(	PUNCT
cana-1513	114	33	36	36	NUM
cana-1513	114	34	)	)	PUNCT
cana-1513	114	35	c(𝑦	c(𝑦	PROPN
cana-1513	114	36	,	,	PUNCT
cana-1513	114	37	𝑡	𝑡	NOUN
cana-1513	114	38	)	)	PUNCT
cana-1513	114	39	=	=	PUNCT
cana-1513	114	40	𝐵11(𝑒𝑘𝑐𝑠𝑐𝑦	𝐵11(𝑒𝑘𝑐𝑠𝑐𝑦	NOUN
cana-1513	114	41	−	−	NOUN
cana-1513	114	42	1	1	NUM
cana-1513	114	43	)	)	PUNCT
cana-1513	114	44	−	−	PROPN
cana-1513	114	45	𝑠𝑟𝑠𝑐𝐵7ℓ1𝑒ℓ1𝑦𝑦	𝑠𝑟𝑠𝑐𝐵7ℓ1𝑒ℓ1𝑦𝑦	NOUN
cana-1513	114	46	+	+	CCONJ
cana-1513	114	47	𝜀𝑒𝑖𝑤𝑡	𝜀𝑒𝑖𝑤𝑡	NOUN
cana-1513	115	1	[	[	X
cana-1513	115	2	𝐵10	𝐵10	PROPN
cana-1513	115	3	(	(	PUNCT
cana-1513	115	4	𝑒(𝑘𝑐+	𝑒(𝑘𝑐+	NOUN
cana-1513	115	5	𝑖𝑤	𝑖𝑤	ADP
cana-1513	115	6	4	4	NUM
cana-1513	115	7	)	)	PUNCT
cana-1513	115	8	𝑠𝑐𝑦	𝑠𝑐𝑦	NOUN
cana-1513	115	9	−	−	NOUN
cana-1513	115	10	1	1	NUM
cana-1513	115	11	)	)	PUNCT
cana-1513	115	12	−	−	NOUN
cana-1513	116	1	𝑠𝑟𝑠𝑐𝐵8𝛾2	𝑠𝑟𝑠𝑐𝐵8𝛾2	NOUN
cana-1513	116	2	2𝑒𝛾2𝑦𝑦	2𝑒𝛾2𝑦𝑦	NUM
cana-1513	116	3	]	]	X
cana-1513	116	4	(	(	PUNCT
cana-1513	116	5	37	37	NUM
cana-1513	116	6	)	)	PUNCT
cana-1513	116	7	4	4	NUM
cana-1513	116	8	.	.	NOUN
cana-1513	116	9	result	result	NOUN
cana-1513	116	10	and	and	CCONJ
cana-1513	116	11	discussion	discussion	NOUN
cana-1513	116	12	the	the	DET
cana-1513	116	13	work	work	NOUN
cana-1513	116	14	provides	provide	VERB
cana-1513	116	15	a	a	DET
cana-1513	116	16	series	series	NOUN
cana-1513	116	17	of	of	ADP
cana-1513	116	18	findings	finding	NOUN
cana-1513	116	19	related	relate	VERB
cana-1513	116	20	to	to	ADP
cana-1513	116	21	various	various	ADJ
cana-1513	116	22	parameters	parameter	NOUN
cana-1513	116	23	and	and	CCONJ
cana-1513	116	24	their	their	PRON
cana-1513	116	25	impact	impact	NOUN
cana-1513	116	26	on	on	ADP
cana-1513	116	27	the	the	DET
cana-1513	116	28	velocity	velocity	NOUN
cana-1513	116	29	,	,	PUNCT
cana-1513	116	30	temperature	temperature	NOUN
cana-1513	116	31	,	,	PUNCT
cana-1513	116	32	concentration	concentration	NOUN
cana-1513	116	33	,	,	PUNCT
cana-1513	116	34	and	and	CCONJ
cana-1513	116	35	other	other	ADJ
cana-1513	116	36	factors	factor	NOUN
cana-1513	116	37	in	in	ADP
cana-1513	116	38	the	the	DET
cana-1513	116	39	studied	studied	ADJ
cana-1513	116	40	system	system	NOUN
cana-1513	116	41	.	.	PUNCT
cana-1513	117	1	here	here	ADV
cana-1513	117	2	's	be	AUX
cana-1513	117	3	an	an	DET
cana-1513	117	4	enhanced	enhanced	ADJ
cana-1513	117	5	explanation	explanation	NOUN
cana-1513	117	6	of	of	ADP
cana-1513	117	7	each	each	DET
cana-1513	117	8	set	set	NOUN
cana-1513	117	9	of	of	ADP
cana-1513	117	10	findings	finding	NOUN
cana-1513	117	11	.	.	PUNCT
cana-1513	118	1	figure	figure	VERB
cana-1513	118	2	1	1	NUM
cana-1513	118	3	magnetic	magnetic	ADJ
cana-1513	118	4	parameters	parameter	NOUN
cana-1513	118	5	:	:	PUNCT
cana-1513	118	6	several	several	ADJ
cana-1513	118	7	magnetic	magnetic	ADJ
cana-1513	118	8	parameters	parameter	NOUN
cana-1513	118	9	,	,	PUNCT
cana-1513	118	10	namely	namely	ADV
cana-1513	118	11	grashof	grashof	ADJ
cana-1513	118	12	number	number	NOUN
cana-1513	118	13	and	and	CCONJ
cana-1513	118	14	modified	modify	VERB
cana-1513	118	15	grashof	grashof	ADJ
cana-1513	118	16	number	number	NOUN
cana-1513	118	17	,	,	PUNCT
cana-1513	118	18	were	be	AUX
cana-1513	118	19	examined	examine	VERB
cana-1513	118	20	.	.	PUNCT
cana-1513	119	1	the	the	DET
cana-1513	119	2	results	result	NOUN
cana-1513	119	3	of	of	ADP
cana-1513	119	4	these	these	DET
cana-1513	119	5	investigations	investigation	NOUN
cana-1513	119	6	are	be	AUX
cana-1513	119	7	presented	present	VERB
cana-1513	119	8	in	in	ADP
cana-1513	119	9	multiple	multiple	ADJ
cana-1513	119	10	tables	table	NOUN
cana-1513	119	11	.	.	PUNCT
cana-1513	120	1	magnetic	magnetic	ADJ
cana-1513	120	2	field	field	NOUN
cana-1513	120	3	influence	influence	NOUN
cana-1513	120	4	on	on	ADP
cana-1513	120	5	velocity	velocity	NOUN
cana-1513	120	6	:	:	PUNCT
cana-1513	120	7	the	the	DET
cana-1513	120	8	figure	figure	NOUN
cana-1513	120	9	above	above	ADV
cana-1513	120	10	illustrates	illustrate	VERB
cana-1513	120	11	how	how	SCONJ
cana-1513	120	12	the	the	DET
cana-1513	120	13	velocity	velocity	NOUN
cana-1513	120	14	profile	profile	NOUN
cana-1513	120	15	changes	change	NOUN
cana-1513	120	16	concerning	concern	VERB
cana-1513	120	17	different	different	ADJ
cana-1513	120	18	magnetic	magnetic	ADJ
cana-1513	120	19	field	field	NOUN
cana-1513	120	20	strengths	strength	NOUN
cana-1513	120	21	,	,	PUNCT
cana-1513	120	22	represented	represent	VERB
cana-1513	120	23	by	by	ADP
cana-1513	120	24	m	m	PROPN
cana-1513	120	25	values	value	NOUN
cana-1513	120	26	ranging	range	VERB
cana-1513	120	27	from	from	ADP
cana-1513	120	28	18	18	NUM
cana-1513	120	29	to	to	PART
cana-1513	120	30	21	21	NUM
cana-1513	120	31	.	.	PUNCT
cana-1513	121	1	the	the	DET
cana-1513	121	2	velocity	velocity	NOUN
cana-1513	121	3	distribution	distribution	NOUN
cana-1513	121	4	displays	display	VERB
cana-1513	121	5	variations	variation	NOUN
cana-1513	121	6	based	base	VERB
cana-1513	121	7	on	on	ADP
cana-1513	121	8	the	the	DET
cana-1513	121	9	magnetic	magnetic	ADJ
cana-1513	121	10	load	load	NOUN
cana-1513	121	11	(	(	PUNCT
cana-1513	121	12	m	m	NOUN
cana-1513	121	13	)	)	PUNCT
cana-1513	121	14	.	.	PUNCT
cana-1513	122	1	as	as	SCONJ
cana-1513	122	2	m	m	NOUN
cana-1513	122	3	increases	increase	NOUN
cana-1513	122	4	,	,	PUNCT
cana-1513	122	5	the	the	DET
cana-1513	122	6	velocity	velocity	NOUN
cana-1513	122	7	decreases	decrease	VERB
cana-1513	122	8	.	.	PUNCT
cana-1513	123	1	this	this	DET
cana-1513	123	2	phenomenon	phenomenon	NOUN
cana-1513	123	3	occurs	occur	VERB
cana-1513	123	4	because	because	SCONJ
cana-1513	123	5	the	the	DET
cana-1513	123	6	lorentz	lorentz	PROPN
cana-1513	123	7	force	force	NOUN
cana-1513	123	8	acts	act	VERB
cana-1513	123	9	as	as	ADP
cana-1513	123	10	a	a	DET
cana-1513	123	11	hindrance	hindrance	NOUN
cana-1513	123	12	when	when	SCONJ
cana-1513	123	13	a	a	DET
cana-1513	123	14	magnetic	magnetic	ADJ
cana-1513	123	15	field	field	NOUN
cana-1513	123	16	is	be	AUX
cana-1513	123	17	introduced	introduce	VERB
cana-1513	123	18	into	into	ADP
cana-1513	123	19	the	the	DET
cana-1513	123	20	system	system	NOUN
cana-1513	123	21	.	.	PUNCT
cana-1513	124	1	communications	communication	NOUN
cana-1513	124	2	on	on	ADP
cana-1513	124	3	applied	apply	VERB
cana-1513	124	4	nonlinear	nonlinear	ADJ
cana-1513	124	5	analysis	analysis	NOUN
cana-1513	124	6	issn	issn	NOUN
cana-1513	124	7	:	:	PUNCT
cana-1513	124	8	1074	1074	NUM
cana-1513	124	9	-	-	PUNCT
cana-1513	124	10	133x	133x	NUM
cana-1513	124	11	vol	vol	NOUN
cana-1513	124	12	31	31	NUM
cana-1513	124	13	no	no	NOUN
cana-1513	124	14	.	.	PUNCT
cana-1513	125	1	8s	8s	PROPN
cana-1513	125	2	(	(	PUNCT
cana-1513	125	3	2024	2024	NUM
cana-1513	125	4	)	)	PUNCT
cana-1513	125	5	371	371	NUM
cana-1513	125	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	125	7	figure	figure	NOUN
cana-1513	125	8	2	2	NUM
cana-1513	125	9	figure	figure	NOUN
cana-1513	125	10	3	3	NUM
cana-1513	125	11	buoyancy	buoyancy	NOUN
cana-1513	125	12	and	and	CCONJ
cana-1513	125	13	velocity	velocity	NOUN
cana-1513	125	14	distribution	distribution	NOUN
cana-1513	125	15	:	:	PUNCT
cana-1513	125	16	the	the	DET
cana-1513	125	17	two	two	NUM
cana-1513	125	18	graphs	graph	NOUN
cana-1513	125	19	above	above	ADP
cana-1513	125	20	depict	depict	VERB
cana-1513	125	21	the	the	DET
cana-1513	125	22	differences	difference	NOUN
cana-1513	125	23	in	in	ADP
cana-1513	125	24	velocity	velocity	NOUN
cana-1513	125	25	distribution	distribution	NOUN
cana-1513	125	26	associated	associate	VERB
cana-1513	125	27	with	with	ADP
cana-1513	125	28	varying	vary	VERB
cana-1513	125	29	grashof	grashof	ADJ
cana-1513	125	30	numbers	number	NOUN
cana-1513	125	31	(	(	PUNCT
cana-1513	125	32	gr	gr	NOUN
cana-1513	125	33	)	)	PUNCT
cana-1513	125	34	and	and	CCONJ
cana-1513	125	35	modified	modify	VERB
cana-1513	125	36	grashof	grashof	ADJ
cana-1513	125	37	numbers	number	NOUN
cana-1513	125	38	(	(	PUNCT
cana-1513	125	39	gc	gc	PROPN
cana-1513	125	40	)	)	PUNCT
cana-1513	125	41	.	.	PUNCT
cana-1513	126	1	due	due	ADP
cana-1513	126	2	to	to	ADP
cana-1513	126	3	significant	significant	ADJ
cana-1513	126	4	buoyancy	buoyancy	NOUN
cana-1513	126	5	forces	force	NOUN
cana-1513	126	6	,	,	PUNCT
cana-1513	126	7	the	the	DET
cana-1513	126	8	water	water	NOUN
cana-1513	126	9	velocity	velocity	NOUN
cana-1513	126	10	increases	increase	NOUN
cana-1513	126	11	,	,	PUNCT
cana-1513	126	12	and	and	CCONJ
cana-1513	126	13	evidently	evidently	ADV
cana-1513	126	14	speed	speed	VERB
cana-1513	126	15	increases	increase	NOUN
cana-1513	126	16	with	with	ADP
cana-1513	126	17	rising	rise	VERB
cana-1513	126	18	values	value	NOUN
cana-1513	126	19	of	of	ADP
cana-1513	126	20	gr	gr	PROPN
cana-1513	126	21	and	and	CCONJ
cana-1513	126	22	gc	gc	PROPN
cana-1513	126	23	.	.	PROPN
cana-1513	126	24	figure	figure	NOUN
cana-1513	126	25	4	4	NUM
cana-1513	126	26	figure	figure	NOUN
cana-1513	126	27	5	5	NUM
cana-1513	126	28	viscoelastic	viscoelastic	ADJ
cana-1513	126	29	parameter	parameter	NOUN
cana-1513	126	30	effect	effect	NOUN
cana-1513	126	31	:	:	PUNCT
cana-1513	126	32	the	the	DET
cana-1513	126	33	figure	figure	NOUN
cana-1513	126	34	above	above	ADV
cana-1513	126	35	illustrates	illustrate	VERB
cana-1513	126	36	the	the	DET
cana-1513	126	37	relationship	relationship	NOUN
cana-1513	126	38	between	between	ADP
cana-1513	126	39	viscoelastic	viscoelastic	ADJ
cana-1513	126	40	parameters	parameter	NOUN
cana-1513	126	41	(	(	PUNCT
cana-1513	126	42	rc	rc	PROPN
cana-1513	126	43	)	)	PUNCT
cana-1513	126	44	,	,	PUNCT
cana-1513	126	45	with	with	ADP
cana-1513	126	46	values	value	NOUN
cana-1513	126	47	ranging	range	VERB
cana-1513	126	48	from	from	ADP
cana-1513	126	49	0.10	0.10	NUM
cana-1513	126	50	to	to	ADP
cana-1513	126	51	0.25	0.25	NUM
cana-1513	126	52	.	.	PUNCT
cana-1513	127	1	it	it	PRON
cana-1513	127	2	has	have	AUX
cana-1513	127	3	been	be	AUX
cana-1513	127	4	shown	show	VERB
cana-1513	127	5	that	that	SCONJ
cana-1513	127	6	speed	speed	NOUN
cana-1513	127	7	decreases	decrease	NOUN
cana-1513	127	8	when	when	SCONJ
cana-1513	127	9	the	the	DET
cana-1513	127	10	viscoelastic	viscoelastic	ADJ
cana-1513	127	11	parameter	parameter	NOUN
cana-1513	127	12	(	(	PUNCT
cana-1513	127	13	rc	rc	NOUN
cana-1513	127	14	)	)	PUNCT
cana-1513	127	15	rises	rise	NOUN
cana-1513	127	16	.	.	PUNCT
cana-1513	128	1	oscillation	oscillation	NOUN
cana-1513	128	2	frequency	frequency	NOUN
cana-1513	128	3	impact	impact	NOUN
cana-1513	128	4	on	on	ADP
cana-1513	128	5	velocity	velocity	NOUN
cana-1513	128	6	:	:	PUNCT
cana-1513	128	7	the	the	DET
cana-1513	128	8	figure	figure	NOUN
cana-1513	128	9	above	above	ADV
cana-1513	128	10	showcases	showcase	VERB
cana-1513	128	11	the	the	DET
cana-1513	128	12	variation	variation	NOUN
cana-1513	128	13	in	in	ADP
cana-1513	128	14	velocity	velocity	NOUN
cana-1513	128	15	distribution	distribution	NOUN
cana-1513	128	16	concerning	concern	VERB
cana-1513	128	17	different	different	ADJ
cana-1513	128	18	oscillation	oscillation	NOUN
cana-1513	128	19	frequencies	frequency	NOUN
cana-1513	128	20	(	(	PUNCT
cana-1513	128	21	w	w	NOUN
cana-1513	128	22	)	)	PUNCT
cana-1513	128	23	with	with	ADP
cana-1513	128	24	values	value	NOUN
cana-1513	128	25	of	of	ADP
cana-1513	128	26	0.1	0.1	NUM
cana-1513	128	27	,	,	PUNCT
cana-1513	128	28	1	1	NUM
cana-1513	128	29	,	,	PUNCT
cana-1513	128	30	2	2	NUM
cana-1513	128	31	,	,	PUNCT
cana-1513	128	32	and	and	CCONJ
cana-1513	128	33	3	3	X
cana-1513	128	34	.	.	X
cana-1513	129	1	the	the	DET
cana-1513	129	2	effect	effect	NOUN
cana-1513	129	3	of	of	ADP
cana-1513	129	4	oscillation	oscillation	NOUN
cana-1513	129	5	frequency	frequency	NOUN
cana-1513	129	6	(	(	PUNCT
cana-1513	129	7	w	w	NOUN
cana-1513	129	8	)	)	PUNCT
cana-1513	129	9	on	on	ADP
cana-1513	129	10	velocity	velocity	NOUN
cana-1513	129	11	becomes	become	VERB
cana-1513	129	12	more	more	ADV
cana-1513	129	13	pronounced	pronounced	ADJ
cana-1513	129	14	as	as	ADP
cana-1513	129	15	w	w	NOUN
cana-1513	129	16	increases	increase	NOUN
cana-1513	129	17	.	.	PUNCT
cana-1513	130	1	communications	communication	NOUN
cana-1513	130	2	on	on	ADP
cana-1513	130	3	applied	apply	VERB
cana-1513	130	4	nonlinear	nonlinear	ADJ
cana-1513	130	5	analysis	analysis	NOUN
cana-1513	130	6	issn	issn	NOUN
cana-1513	130	7	:	:	PUNCT
cana-1513	130	8	1074	1074	NUM
cana-1513	130	9	-	-	PUNCT
cana-1513	130	10	133x	133x	NUM
cana-1513	130	11	vol	vol	NOUN
cana-1513	130	12	31	31	NUM
cana-1513	130	13	no	no	NOUN
cana-1513	130	14	.	.	PUNCT
cana-1513	131	1	8s	8s	PROPN
cana-1513	131	2	(	(	PUNCT
cana-1513	131	3	2024	2024	NUM
cana-1513	131	4	)	)	PUNCT
cana-1513	131	5	372	372	NUM
cana-1513	131	6	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1513	131	7	figure	figure	NOUN
cana-1513	131	8	6	6	NUM
cana-1513	131	9	figure	figure	NOUN
cana-1513	131	10	7	7	NUM
cana-1513	131	11	prandtl	prandtl	NOUN
cana-1513	131	12	number	number	NOUN
cana-1513	131	13	influence	influence	NOUN
cana-1513	131	14	:	:	PUNCT
cana-1513	131	15	the	the	DET
cana-1513	131	16	relationship	relationship	NOUN
cana-1513	131	17	between	between	ADP
cana-1513	131	18	velocity	velocity	NOUN
cana-1513	131	19	profile	profile	NOUN
cana-1513	131	20	and	and	CCONJ
cana-1513	131	21	the	the	DET
cana-1513	131	22	prandtl	prandtl	NOUN
cana-1513	131	23	number	number	NOUN
cana-1513	131	24	(	(	PUNCT
cana-1513	131	25	pr	pr	NOUN
cana-1513	131	26	)	)	PUNCT
cana-1513	131	27	is	be	AUX
cana-1513	131	28	displayed	display	VERB
cana-1513	131	29	above	above	ADV
cana-1513	131	30	,	,	PUNCT
cana-1513	131	31	with	with	ADP
cana-1513	131	32	pr	pr	NOUN
cana-1513	131	33	values	value	NOUN
cana-1513	131	34	ranging	range	VERB
cana-1513	131	35	from	from	ADP
cana-1513	131	36	0.5	0.5	NUM
cana-1513	131	37	to	to	ADP
cana-1513	131	38	2	2	NUM
cana-1513	131	39	.	.	PUNCT
cana-1513	132	1	a	a	DET
cana-1513	132	2	rapid	rapid	ADJ
cana-1513	132	3	increase	increase	NOUN
cana-1513	132	4	in	in	ADP
cana-1513	132	5	prandtl	prandtl	NOUN
cana-1513	132	6	number	number	NOUN
cana-1513	132	7	is	be	AUX
cana-1513	132	8	associated	associate	VERB
cana-1513	132	9	when	when	SCONJ
cana-1513	132	10	the	the	DET
cana-1513	132	11	fluid	fluid	NOUN
cana-1513	132	12	's	's	PART
cana-1513	132	13	velocity	velocity	NOUN
cana-1513	132	14	drops	drop	NOUN
cana-1513	132	15	.	.	PUNCT
cana-1513	133	1	this	this	PRON
cana-1513	133	2	is	be	AUX
cana-1513	133	3	attributed	attribute	VERB
cana-1513	133	4	to	to	ADP
cana-1513	133	5	the	the	DET
cana-1513	133	6	reduction	reduction	NOUN
cana-1513	133	7	in	in	ADP
cana-1513	133	8	thermal	thermal	ADJ
cana-1513	133	9	conductivity	conductivity	NOUN
cana-1513	133	10	as	as	SCONJ
cana-1513	133	11	the	the	DET
cana-1513	133	12	prandtl	prandtl	NOUN
cana-1513	133	13	number	number	NOUN
cana-1513	133	14	rises	rise	VERB
cana-1513	133	15	.	.	PUNCT
cana-1513	134	1	chemical	chemical	ADJ
cana-1513	134	2	concentration	concentration	NOUN
cana-1513	134	3	distribution	distribution	NOUN
cana-1513	134	4	:	:	PUNCT
cana-1513	134	5	the	the	DET
cana-1513	134	6	diagram	diagram	NOUN
cana-1513	134	7	above	above	ADV
cana-1513	134	8	depicts	depict	VERB
cana-1513	134	9	the	the	DET
cana-1513	134	10	distribution	distribution	NOUN
cana-1513	134	11	of	of	ADP
cana-1513	134	12	chemical	chemical	ADJ
cana-1513	134	13	concentrations	concentration	NOUN
cana-1513	134	14	(	(	PUNCT
cana-1513	134	15	kc	kc	PROPN
cana-1513	134	16	)	)	PUNCT
cana-1513	134	17	with	with	ADP
cana-1513	134	18	values	value	NOUN
cana-1513	134	19	of	of	ADP
cana-1513	134	20	3	3	NUM
cana-1513	134	21	,	,	PUNCT
cana-1513	134	22	4	4	NUM
cana-1513	134	23	,	,	PUNCT
cana-1513	134	24	5	5	NUM
cana-1513	134	25	,	,	PUNCT
cana-1513	134	26	and	and	CCONJ
cana-1513	134	27	6	6	NUM
cana-1513	134	28	.	.	PUNCT
cana-1513	135	1	remarkably	remarkably	ADV
cana-1513	135	2	,	,	PUNCT
cana-1513	135	3	there	there	PRON
cana-1513	135	4	appears	appear	VERB
cana-1513	135	5	to	to	PART
cana-1513	135	6	be	be	AUX
cana-1513	135	7	no	no	DET
cana-1513	135	8	significant	significant	ADJ
cana-1513	135	9	effect	effect	NOUN
cana-1513	135	10	on	on	ADP
cana-1513	135	11	speed	speed	NOUN
cana-1513	135	12	.	.	PUNCT
cana-1513	136	1	however	however	ADV
cana-1513	136	2	,	,	PUNCT
cana-1513	136	3	the	the	DET
cana-1513	136	4	velocity	velocity	NOUN
cana-1513	136	5	of	of	ADP
cana-1513	136	6	the	the	DET
cana-1513	136	7	particular	particular	ADJ
cana-1513	136	8	flow	flow	NOUN
cana-1513	136	9	does	do	AUX
cana-1513	136	10	decrease	decrease	VERB
cana-1513	136	11	with	with	ADP
cana-1513	136	12	the	the	DET
cana-1513	136	13	increasing	increase	VERB
cana-1513	136	14	chemical	chemical	NOUN
cana-1513	136	15	resistance	resistance	NOUN
cana-1513	136	16	(	(	PUNCT
cana-1513	136	17	kc	kc	PROPN
cana-1513	136	18	)	)	PUNCT
cana-1513	136	19	for	for	ADP
cana-1513	136	20	the	the	DET
cana-1513	136	21	given	give	VERB
cana-1513	136	22	problem	problem	NOUN
cana-1513	136	23	.	.	PUNCT
cana-1513	137	1	figure	figure	VERB
cana-1513	137	2	8	8	NUM
cana-1513	137	3	figure	figure	NOUN
cana-1513	137	4	9	9	NUM
cana-1513	137	5	electrical	electrical	ADJ
cana-1513	137	6	absorption	absorption	NOUN
cana-1513	137	7	effect	effect	NOUN
cana-1513	137	8	:	:	PUNCT
cana-1513	137	9	the	the	DET
cana-1513	137	10	diagram	diagram	NOUN
cana-1513	137	11	above	above	ADV
cana-1513	137	12	demonstrates	demonstrate	VERB
cana-1513	137	13	the	the	DET
cana-1513	137	14	variation	variation	NOUN
cana-1513	137	15	in	in	ADP
cana-1513	137	16	temperature	temperature	NOUN
cana-1513	137	17	due	due	ADP
cana-1513	137	18	to	to	ADP
cana-1513	137	19	changes	change	NOUN
cana-1513	137	20	in	in	ADP
cana-1513	137	21	the	the	DET
cana-1513	137	22	electrical	electrical	ADJ
cana-1513	137	23	absorption	absorption	NOUN
cana-1513	137	24	coefficient	coefficient	NOUN
cana-1513	137	25	(	(	PUNCT
cana-1513	137	26	r	r	NOUN
cana-1513	137	27	)	)	PUNCT
cana-1513	137	28	with	with	ADP
cana-1513	137	29	values	value	NOUN
cana-1513	137	30	of	of	ADP
cana-1513	137	31	0	0	NUM
cana-1513	137	32	,	,	PUNCT
cana-1513	137	33	0.2	0.2	NUM
cana-1513	137	34	,	,	PUNCT
cana-1513	137	35	0.6	0.6	NUM
cana-1513	137	36	,	,	PUNCT
cana-1513	137	37	and	and	CCONJ
cana-1513	137	38	1	1	X
cana-1513	137	39	.	.	X
cana-1513	138	1	there	there	PRON
cana-1513	138	2	is	be	VERB
cana-1513	138	3	a	a	DET
cana-1513	138	4	raise	raise	NOUN
cana-1513	138	5	in	in	ADP
cana-1513	138	6	the	the	DET
cana-1513	138	7	electrical	electrical	ADJ
cana-1513	138	8	absorption	absorption	NOUN
cana-1513	138	9	coefficient	coefficient	NOUN
cana-1513	138	10	leads	lead	VERB
cana-1513	138	11	to	to	ADP
cana-1513	138	12	a	a	DET
cana-1513	138	13	drop	drop	NOUN
cana-1513	138	14	in	in	ADP
cana-1513	138	15	temperature	temperature	NOUN
cana-1513	138	16	in	in	ADP
cana-1513	138	17	the	the	DET
cana-1513	138	18	temperature	temperature	NOUN
cana-1513	138	19	profile	profile	NOUN
cana-1513	138	20	.	.	PUNCT
cana-1513	139	1	prandtl	prandtl	NOUN
cana-1513	139	2	number	number	NOUN
cana-1513	139	3	and	and	CCONJ
cana-1513	139	4	temperature	temperature	NOUN
cana-1513	139	5	:	:	PUNCT
cana-1513	139	6	the	the	DET
cana-1513	139	7	figure	figure	NOUN
cana-1513	139	8	above	above	ADP
cana-1513	139	9	presents	present	VERB
cana-1513	139	10	the	the	DET
cana-1513	139	11	temperature	temperature	NOUN
cana-1513	139	12	at	at	ADP
cana-1513	139	13	different	different	ADJ
cana-1513	139	14	prandtl	prandtl	NOUN
cana-1513	139	15	numbers	number	NOUN
cana-1513	139	16	(	(	PUNCT
cana-1513	139	17	pr	pr	NOUN
cana-1513	139	18	)	)	PUNCT
cana-1513	139	19	ranging	range	VERB
cana-1513	139	20	from	from	ADP
cana-1513	139	21	1	1	NUM
cana-1513	139	22	to	to	ADP
cana-1513	139	23	4	4	NUM
cana-1513	139	24	.	.	PUNCT
cana-1513	140	1	as	as	SCONJ
cana-1513	140	2	the	the	DET
cana-1513	140	3	prandtl	prandtl	NOUN
cana-1513	140	4	number	number	NOUN
cana-1513	140	5	raises	raise	VERB
cana-1513	140	6	,	,	PUNCT
cana-1513	140	7	the	the	DET
cana-1513	140	8	influence	influence	NOUN
cana-1513	140	9	on	on	ADP
cana-1513	140	10	temperature	temperature	NOUN
cana-1513	140	11	drops	drop	NOUN
cana-1513	140	12	for	for	ADP
cana-1513	140	13	the	the	DET
cana-1513	140	14	respective	respective	ADJ
cana-1513	140	15	flow	flow	NOUN
cana-1513	140	16	pattern	pattern	NOUN
cana-1513	140	17	.	.	PUNCT
cana-1513	141	1	communications	communication	NOUN
cana-1513	141	2	on	on	ADP
cana-1513	141	3	applied	apply	VERB
cana-1513	141	4	nonlinear	nonlinear	ADJ
cana-1513	141	5	analysis	analysis	NOUN
cana-1513	141	6	issn	issn	NOUN
cana-1513	141	7	:	:	PUNCT
cana-1513	141	8	1074	1074	NUM
cana-1513	141	9	-	-	PUNCT
cana-1513	141	10	133x	133x	NUM
cana-1513	141	11	vol	vol	NOUN
cana-1513	141	12	31	31	NUM
cana-1513	141	13	no	no	NOUN
cana-1513	141	14	.	.	PUNCT
cana-1513	142	1	8s	8s	PROPN
cana-1513	142	2	(	(	PUNCT
cana-1513	142	3	2024	2024	NUM
cana-1513	142	4	)	)	PUNCT
cana-1513	142	5	373	373	NUM
cana-1513	142	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	142	7	5	5	NUM
cana-1513	142	8	.	.	PUNCT
cana-1513	142	9	conclusion	conclusion	NOUN
cana-1513	142	10	we	we	PRON
cana-1513	142	11	investigated	investigate	VERB
cana-1513	142	12	the	the	DET
cana-1513	142	13	dynamics	dynamic	NOUN
cana-1513	142	14	of	of	ADP
cana-1513	142	15	a	a	DET
cana-1513	142	16	viscoelastic	viscoelastic	ADJ
cana-1513	142	17	fluid	fluid	NOUN
cana-1513	142	18	flow	flow	NOUN
cana-1513	142	19	along	along	ADP
cana-1513	142	20	a	a	DET
cana-1513	142	21	vertical	vertical	ADJ
cana-1513	142	22	porous	porous	ADJ
cana-1513	142	23	plate	plate	NOUN
cana-1513	142	24	that	that	PRON
cana-1513	142	25	is	be	AUX
cana-1513	142	26	unstable	unstable	ADJ
cana-1513	142	27	in	in	ADP
cana-1513	142	28	magnetohydrodynamics	magnetohydrodynamic	NOUN
cana-1513	142	29	(	(	PUNCT
cana-1513	142	30	mhd	mhd	NOUN
cana-1513	142	31	)	)	PUNCT
cana-1513	142	32	.	.	PUNCT
cana-1513	143	1	many	many	ADJ
cana-1513	143	2	contributing	contribute	VERB
cana-1513	143	3	elements	element	NOUN
cana-1513	143	4	,	,	PUNCT
cana-1513	143	5	such	such	ADJ
cana-1513	143	6	as	as	ADP
cana-1513	143	7	a	a	DET
cana-1513	143	8	pressure	pressure	NOUN
cana-1513	143	9	gradient	gradient	NOUN
cana-1513	143	10	,	,	PUNCT
cana-1513	143	11	a	a	DET
cana-1513	143	12	magnetic	magnetic	ADJ
cana-1513	143	13	field	field	NOUN
cana-1513	143	14	,	,	PUNCT
cana-1513	143	15	a	a	DET
cana-1513	143	16	permeable	permeable	ADJ
cana-1513	143	17	material	material	NOUN
cana-1513	143	18	with	with	ADP
cana-1513	143	19	time	time	NOUN
cana-1513	143	20	-	-	PUNCT
cana-1513	143	21	dependent	dependent	ADJ
cana-1513	143	22	oscillatory	oscillatory	ADJ
cana-1513	143	23	permeability	permeability	NOUN
cana-1513	143	24	and	and	CCONJ
cana-1513	143	25	suction	suction	NOUN
cana-1513	143	26	,	,	PUNCT
cana-1513	143	27	and	and	CCONJ
cana-1513	143	28	the	the	DET
cana-1513	143	29	dufour	dufour	PROPN
cana-1513	143	30	effect	effect	NOUN
cana-1513	143	31	,	,	PUNCT
cana-1513	143	32	were	be	AUX
cana-1513	143	33	taken	take	VERB
cana-1513	143	34	into	into	ADP
cana-1513	143	35	account	account	NOUN
cana-1513	143	36	when	when	SCONJ
cana-1513	143	37	conducting	conduct	VERB
cana-1513	143	38	this	this	DET
cana-1513	143	39	research	research	NOUN
cana-1513	143	40	.	.	PUNCT
cana-1513	144	1	these	these	PRON
cana-1513	144	2	are	be	AUX
cana-1513	144	3	the	the	DET
cana-1513	144	4	main	main	ADJ
cana-1513	144	5	conclusions	conclusion	NOUN
cana-1513	144	6	that	that	PRON
cana-1513	144	7	need	need	VERB
cana-1513	144	8	to	to	PART
cana-1513	144	9	be	be	AUX
cana-1513	144	10	discussed	discuss	VERB
cana-1513	144	11	:	:	PUNCT
cana-1513	144	12	(	(	PUNCT
cana-1513	144	13	i	i	NOUN
cana-1513	144	14	)	)	PUNCT
cana-1513	144	15	enhancement	enhancement	NOUN
cana-1513	144	16	of	of	ADP
cana-1513	144	17	concentration	concentration	NOUN
cana-1513	144	18	profile	profile	NOUN
cana-1513	144	19	by	by	ADP
cana-1513	144	20	dufour	dufour	PROPN
cana-1513	144	21	effect	effect	NOUN
cana-1513	144	22	:	:	PUNCT
cana-1513	144	23	one	one	NUM
cana-1513	144	24	significant	significant	ADJ
cana-1513	144	25	observation	observation	NOUN
cana-1513	144	26	from	from	ADP
cana-1513	144	27	our	our	PRON
cana-1513	144	28	study	study	NOUN
cana-1513	144	29	is	be	AUX
cana-1513	144	30	the	the	DET
cana-1513	144	31	impact	impact	NOUN
cana-1513	144	32	of	of	ADP
cana-1513	144	33	the	the	DET
cana-1513	144	34	dufour	dufour	PROPN
cana-1513	144	35	effect	effect	NOUN
cana-1513	144	36	.	.	PUNCT
cana-1513	145	1	it	it	PRON
cana-1513	145	2	is	be	AUX
cana-1513	145	3	noteworthy	noteworthy	ADJ
cana-1513	145	4	that	that	SCONJ
cana-1513	145	5	this	this	DET
cana-1513	145	6	effect	effect	NOUN
cana-1513	145	7	has	have	VERB
cana-1513	145	8	a	a	DET
cana-1513	145	9	somewhat	somewhat	ADV
cana-1513	145	10	enhancing	enhance	VERB
cana-1513	145	11	influence	influence	NOUN
cana-1513	145	12	on	on	ADP
cana-1513	145	13	the	the	DET
cana-1513	145	14	concentration	concentration	NOUN
cana-1513	145	15	profile	profile	NOUN
cana-1513	145	16	of	of	ADP
cana-1513	145	17	the	the	DET
cana-1513	145	18	fluid	fluid	NOUN
cana-1513	145	19	.	.	PUNCT
cana-1513	146	1	the	the	DET
cana-1513	146	2	dufour	dufour	PROPN
cana-1513	146	3	effect	effect	NOUN
cana-1513	146	4	is	be	AUX
cana-1513	146	5	a	a	DET
cana-1513	146	6	heat	heat	NOUN
cana-1513	146	7	-	-	PUNCT
cana-1513	146	8	mass	mass	NOUN
cana-1513	146	9	transfer	transfer	NOUN
cana-1513	146	10	phenomenon	phenomenon	NOUN
cana-1513	146	11	,	,	PUNCT
cana-1513	146	12	and	and	CCONJ
cana-1513	146	13	its	its	PRON
cana-1513	146	14	presence	presence	NOUN
cana-1513	146	15	in	in	ADP
cana-1513	146	16	this	this	DET
cana-1513	146	17	system	system	NOUN
cana-1513	146	18	plays	play	VERB
cana-1513	146	19	a	a	DET
cana-1513	146	20	role	role	NOUN
cana-1513	146	21	in	in	ADP
cana-1513	146	22	shaping	shape	VERB
cana-1513	146	23	the	the	DET
cana-1513	146	24	concentration	concentration	NOUN
cana-1513	146	25	distribution	distribution	NOUN
cana-1513	146	26	of	of	ADP
cana-1513	146	27	the	the	DET
cana-1513	146	28	fluid	fluid	NOUN
cana-1513	146	29	.	.	PUNCT
cana-1513	147	1	this	this	DET
cana-1513	147	2	finding	finding	NOUN
cana-1513	147	3	underscores	underscore	VERB
cana-1513	147	4	the	the	DET
cana-1513	147	5	importance	importance	NOUN
cana-1513	147	6	of	of	ADP
cana-1513	147	7	considering	consider	VERB
cana-1513	147	8	heatmass	heatmass	NOUN
cana-1513	147	9	transfer	transfer	NOUN
cana-1513	147	10	effects	effect	NOUN
cana-1513	147	11	in	in	ADP
cana-1513	147	12	similar	similar	ADJ
cana-1513	147	13	systems	system	NOUN
cana-1513	147	14	.	.	PUNCT
cana-1513	148	1	(	(	PUNCT
cana-1513	148	2	ii	ii	NOUN
cana-1513	148	3	)	)	PUNCT
cana-1513	148	4	magnetic	magnetic	ADJ
cana-1513	148	5	field	field	NOUN
cana-1513	148	6	slows	slow	VERB
cana-1513	148	7	fluid	fluid	ADJ
cana-1513	148	8	flow	flow	NOUN
cana-1513	148	9	:	:	PUNCT
cana-1513	148	10	the	the	DET
cana-1513	148	11	effect	effect	NOUN
cana-1513	148	12	of	of	ADP
cana-1513	148	13	a	a	DET
cana-1513	148	14	magnetic	magnetic	ADJ
cana-1513	148	15	field	field	NOUN
cana-1513	148	16	on	on	ADP
cana-1513	148	17	the	the	DET
cana-1513	148	18	flow	flow	NOUN
cana-1513	148	19	dynamics	dynamic	NOUN
cana-1513	148	20	was	be	AUX
cana-1513	148	21	observed	observe	VERB
cana-1513	148	22	to	to	PART
cana-1513	148	23	be	be	AUX
cana-1513	148	24	significant	significant	ADJ
cana-1513	148	25	.	.	PUNCT
cana-1513	149	1	it	it	PRON
cana-1513	149	2	was	be	AUX
cana-1513	149	3	noted	note	VERB
cana-1513	149	4	that	that	SCONJ
cana-1513	149	5	the	the	DET
cana-1513	149	6	magnetic	magnetic	ADJ
cana-1513	149	7	field	field	NOUN
cana-1513	149	8	hinders	hinder	VERB
cana-1513	149	9	the	the	DET
cana-1513	149	10	fluid	fluid	NOUN
cana-1513	149	11	,	,	PUNCT
cana-1513	149	12	flow	flow	NOUN
cana-1513	149	13	.	.	PUNCT
cana-1513	150	1	the	the	DET
cana-1513	150	2	decrease	decrease	NOUN
cana-1513	150	3	in	in	ADP
cana-1513	150	4	speed	speed	NOUN
cana-1513	150	5	of	of	ADP
cana-1513	150	6	the	the	DET
cana-1513	150	7	fluid	fluid	NOUN
cana-1513	150	8	is	be	AUX
cana-1513	150	9	caused	cause	VERB
cana-1513	150	10	by	by	ADP
cana-1513	150	11	the	the	DET
cana-1513	150	12	interaction	interaction	NOUN
cana-1513	150	13	between	between	ADP
cana-1513	150	14	magnetic	magnetic	ADJ
cana-1513	150	15	field	field	NOUN
cana-1513	150	16	and	and	CCONJ
cana-1513	150	17	fluid	fluid	NOUN
cana-1513	150	18	's	's	PART
cana-1513	150	19	ability	ability	NOUN
cana-1513	150	20	to	to	PART
cana-1513	150	21	conduct	conduct	VERB
cana-1513	150	22	electricity	electricity	NOUN
cana-1513	150	23	.	.	PUNCT
cana-1513	151	1	gaining	gain	VERB
cana-1513	151	2	a	a	DET
cana-1513	151	3	comprehensive	comprehensive	ADJ
cana-1513	151	4	understanding	understanding	NOUN
cana-1513	151	5	of	of	ADP
cana-1513	151	6	this	this	DET
cana-1513	151	7	impact	impact	NOUN
cana-1513	151	8	is	be	AUX
cana-1513	151	9	essential	essential	ADJ
cana-1513	151	10	for	for	ADP
cana-1513	151	11	optimizing	optimize	VERB
cana-1513	151	12	procedures	procedure	NOUN
cana-1513	151	13	that	that	PRON
cana-1513	151	14	need	need	VERB
cana-1513	151	15	precise	precise	ADJ
cana-1513	151	16	control	control	NOUN
cana-1513	151	17	or	or	CCONJ
cana-1513	151	18	adjustment	adjustment	NOUN
cana-1513	151	19	of	of	ADP
cana-1513	151	20	fluid	fluid	ADJ
cana-1513	151	21	flow	flow	NOUN
cana-1513	151	22	.	.	PUNCT
cana-1513	152	1	(	(	PUNCT
cana-1513	152	2	iii	iii	NOUN
cana-1513	152	3	)	)	PUNCT
cana-1513	152	4	reduction	reduction	NOUN
cana-1513	152	5	of	of	ADP
cana-1513	152	6	flow	flow	NOUN
cana-1513	152	7	at	at	ADP
cana-1513	152	8	boundary	boundary	ADJ
cana-1513	152	9	layer	layer	NOUN
cana-1513	152	10	due	due	ADP
cana-1513	152	11	to	to	ADP
cana-1513	152	12	species	species	NOUN
cana-1513	152	13	conductivity	conductivity	NOUN
cana-1513	152	14	:	:	PUNCT
cana-1513	152	15	another	another	DET
cana-1513	152	16	important	important	ADJ
cana-1513	152	17	finding	finding	NOUN
cana-1513	152	18	pertains	pertain	NOUN
cana-1513	152	19	to	to	ADP
cana-1513	152	20	the	the	DET
cana-1513	152	21	flow	flow	NOUN
cana-1513	152	22	characteristics	characteristic	NOUN
cana-1513	152	23	at	at	ADP
cana-1513	152	24	boundary	boundary	ADJ
cana-1513	152	25	layer	layer	NOUN
cana-1513	152	26	of	of	ADP
cana-1513	152	27	the	the	DET
cana-1513	152	28	fluid	fluid	NOUN
cana-1513	152	29	.	.	PUNCT
cana-1513	153	1	the	the	DET
cana-1513	153	2	study	study	NOUN
cana-1513	153	3	revealed	reveal	VERB
cana-1513	153	4	that	that	SCONJ
cana-1513	153	5	the	the	DET
cana-1513	153	6	flow	flow	NOUN
cana-1513	153	7	at	at	ADP
cana-1513	153	8	the	the	DET
cana-1513	153	9	boundary	boundary	ADJ
cana-1513	153	10	layer	layer	NOUN
cana-1513	153	11	is	be	AUX
cana-1513	153	12	reduced	reduce	VERB
cana-1513	153	13	.	.	PUNCT
cana-1513	154	1	this	this	DET
cana-1513	154	2	reduction	reduction	NOUN
cana-1513	154	3	can	can	AUX
cana-1513	154	4	be	be	AUX
cana-1513	154	5	attributed	attribute	VERB
cana-1513	154	6	to	to	ADP
cana-1513	154	7	the	the	DET
cana-1513	154	8	presence	presence	NOUN
cana-1513	154	9	of	of	ADP
cana-1513	154	10	heavier	heavy	ADJ
cana-1513	154	11	species	specie	NOUN
cana-1513	154	12	in	in	ADP
cana-1513	154	13	the	the	DET
cana-1513	154	14	fluid	fluid	NOUN
cana-1513	154	15	,	,	PUNCT
cana-1513	154	16	which	which	PRON
cana-1513	154	17	generally	generally	ADV
cana-1513	154	18	have	have	VERB
cana-1513	154	19	lower	low	ADJ
cana-1513	154	20	conductivities	conductivity	NOUN
cana-1513	154	21	.	.	PUNCT
cana-1513	155	1	the	the	DET
cana-1513	155	2	relationship	relationship	NOUN
cana-1513	155	3	between	between	ADP
cana-1513	155	4	species	species	NOUN
cana-1513	155	5	properties	property	NOUN
cana-1513	155	6	,	,	PUNCT
cana-1513	155	7	conductivities	conductivity	NOUN
cana-1513	155	8	,	,	PUNCT
cana-1513	155	9	and	and	CCONJ
cana-1513	155	10	flow	flow	NOUN
cana-1513	155	11	behaviour	behaviour	NOUN
cana-1513	155	12	at	at	ADP
cana-1513	155	13	the	the	DET
cana-1513	155	14	boundary	boundary	ADJ
cana-1513	155	15	layer	layer	NOUN
cana-1513	155	16	is	be	AUX
cana-1513	155	17	a	a	DET
cana-1513	155	18	crucial	crucial	ADJ
cana-1513	155	19	insight	insight	NOUN
cana-1513	155	20	,	,	PUNCT
cana-1513	155	21	particularly	particularly	ADV
cana-1513	155	22	in	in	ADP
cana-1513	155	23	applications	application	NOUN
cana-1513	155	24	where	where	SCONJ
cana-1513	155	25	species	specie	NOUN
cana-1513	155	26	differentiation	differentiation	NOUN
cana-1513	155	27	plays	play	VERB
cana-1513	155	28	a	a	DET
cana-1513	155	29	vital	vital	ADJ
cana-1513	155	30	role	role	NOUN
cana-1513	155	31	.	.	PUNCT
cana-1513	156	1	to	to	PART
cana-1513	156	2	summarize	summarize	VERB
cana-1513	156	3	,	,	PUNCT
cana-1513	156	4	our	our	PRON
cana-1513	156	5	study	study	NOUN
cana-1513	156	6	of	of	ADP
cana-1513	156	7	the	the	DET
cana-1513	156	8	flow	flow	NOUN
cana-1513	156	9	of	of	ADP
cana-1513	156	10	unstable	unstable	ADJ
cana-1513	156	11	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1513	156	12	viscoelastic	viscoelastic	ADJ
cana-1513	156	13	fluid	fluid	NOUN
cana-1513	156	14	in	in	ADP
cana-1513	156	15	a	a	DET
cana-1513	156	16	complicated	complicated	ADJ
cana-1513	156	17	system	system	NOUN
cana-1513	156	18	containing3	containing3	NOUN
cana-1513	157	1	a	a	DET
cana-1513	157	2	vertical	vertical	ADJ
cana-1513	157	3	permeable	permeable	ADJ
cana-1513	157	4	plate	plate	NOUN
cana-1513	157	5	,	,	PUNCT
cana-1513	157	6	a	a	DET
cana-1513	157	7	pressure	pressure	NOUN
cana-1513	157	8	gradient	gradient	NOUN
cana-1513	157	9	,	,	PUNCT
cana-1513	157	10	a	a	DET
cana-1513	157	11	magnetic	magnetic	ADJ
cana-1513	157	12	field	field	NOUN
cana-1513	157	13	,	,	PUNCT
cana-1513	157	14	a	a	DET
cana-1513	157	15	permeable	permeable	ADJ
cana-1513	157	16	medium	medium	NOUN
cana-1513	157	17	with	with	ADP
cana-1513	157	18	time	time	NOUN
cana-1513	157	19	-	-	PUNCT
cana-1513	157	20	dependent	dependent	ADJ
cana-1513	157	21	permeability	permeability	NOUN
cana-1513	157	22	,	,	PUNCT
cana-1513	157	23	and	and	CCONJ
cana-1513	157	24	the	the	DET
cana-1513	157	25	dufour	dufour	PROPN
cana-1513	157	26	effect	effect	NOUN
cana-1513	157	27	has	have	AUX
cana-1513	157	28	resulted	result	VERB
cana-1513	157	29	in	in	ADP
cana-1513	157	30	these	these	DET
cana-1513	157	31	significant	significant	ADJ
cana-1513	157	32	discoveries	discovery	NOUN
cana-1513	157	33	.	.	PUNCT
cana-1513	158	1	these	these	DET
cana-1513	158	2	findings	finding	NOUN
cana-1513	158	3	enhance	enhance	VERB
cana-1513	158	4	our	our	PRON
cana-1513	158	5	comprehension	comprehension	NOUN
cana-1513	158	6	of	of	ADP
cana-1513	158	7	the	the	DET
cana-1513	158	8	intricate	intricate	ADJ
cana-1513	158	9	interactions	interaction	NOUN
cana-1513	158	10	between	between	ADP
cana-1513	158	11	different	different	ADJ
cana-1513	158	12	elements	element	NOUN
cana-1513	158	13	in	in	ADP
cana-1513	158	14	these	these	DET
cana-1513	158	15	systems	system	NOUN
cana-1513	158	16	,	,	PUNCT
cana-1513	158	17	and	and	CCONJ
cana-1513	158	18	have	have	VERB
cana-1513	158	19	practical	practical	ADJ
cana-1513	158	20	implications	implication	NOUN
cana-1513	158	21	for	for	ADP
cana-1513	158	22	domains	domain	NOUN
cana-1513	158	23	including	include	VERB
cana-1513	158	24	fluid	fluid	NOUN
cana-1513	158	25	dynamics	dynamic	NOUN
cana-1513	158	26	,	,	PUNCT
cana-1513	158	27	heat	heat	NOUN
cana-1513	158	28	-	-	PUNCT
cana-1513	158	29	mass	mass	NOUN
cana-1513	158	30	transfer	transfer	NOUN
cana-1513	158	31	,	,	PUNCT
cana-1513	158	32	and	and	CCONJ
cana-1513	158	33	materials	material	NOUN
cana-1513	158	34	processing	processing	NOUN
cana-1513	158	35	.	.	PUNCT
cana-1513	159	1	references	reference	NOUN
cana-1513	159	2	:	:	PUNCT
cana-1513	160	1	[	[	X
cana-1513	160	2	1	1	X
cana-1513	160	3	]	]	PUNCT
cana-1513	160	4	l.	l.	PROPN
cana-1513	160	5	ramamohan	ramamohan	PROPN
cana-1513	160	6	reddy	reddy	PROPN
cana-1513	160	7	,	,	PUNCT
cana-1513	160	8	m.c	m.c	PROPN
cana-1513	160	9	.	.	PROPN
cana-1513	160	10	raju	raju	PROPN
cana-1513	160	11	and	and	CCONJ
cana-1513	160	12	g.s.s	g.s.s	PROPN
cana-1513	160	13	raju	raju	PROPN
cana-1513	160	14	(	(	PUNCT
cana-1513	160	15	2016	2016	NUM
cana-1513	160	16	)	)	PUNCT
cana-1513	160	17	,	,	PUNCT
cana-1513	160	18	“	"	PUNCT
cana-1513	160	19	unsteady	unsteady	ADJ
cana-1513	160	20	mhd	mhd	X
cana-1513	160	21	free	free	ADJ
cana-1513	160	22	convection	convection	NOUN
cana-1513	160	23	flow	flow	NOUN
cana-1513	160	24	characteristics	characteristic	NOUN
cana-1513	160	25	of	of	ADP
cana-1513	160	26	a	a	DET
cana-1513	160	27	viscoelastic	viscoelastic	ADJ
cana-1513	160	28	fluid	fluid	NOUN
cana-1513	160	29	past	past	ADP
cana-1513	160	30	a	a	DET
cana-1513	160	31	vertical	vertical	ADJ
cana-1513	160	32	porous	porous	ADJ
cana-1513	160	33	plate	plate	NOUN
cana-1513	160	34	”	"	PUNCT
cana-1513	160	35	international	international	ADJ
cana-1513	160	36	journal	journal	NOUN
cana-1513	160	37	of	of	ADP
cana-1513	160	38	applied	apply	VERB
cana-1513	160	39	science	science	NOUN
cana-1513	160	40	and	and	CCONJ
cana-1513	160	41	engineering	engineering	NOUN
cana-1513	160	42	.	.	PUNCT
cana-1513	161	1	14,2:69	14,2:69	NUM
cana-1513	161	2	-	-	SYM
cana-1513	161	3	85	85	NUM
cana-1513	161	4	.	.	PUNCT
cana-1513	162	1	[	[	X
cana-1513	162	2	2	2	X
cana-1513	162	3	]	]	X
cana-1513	162	4	f.s	f.s	PROPN
cana-1513	162	5	.	.	PROPN
cana-1513	162	6	ibrahim	ibrahim	PROPN
cana-1513	162	7	,	,	PUNCT
cana-1513	162	8	a.m.	a.m.	PROPN
cana-1513	162	9	elaiw	elaiw	PROPN
cana-1513	162	10	,	,	PUNCT
cana-1513	162	11	a.a	a.a	PROPN
cana-1513	162	12	.	.	PROPN
cana-1513	162	13	bakr	bakr	PROPN
cana-1513	162	14	.	.	PUNCT
cana-1513	163	1	effect	effect	NOUN
cana-1513	163	2	of	of	ADP
cana-1513	163	3	the	the	DET
cana-1513	163	4	chemical	chemical	NOUN
cana-1513	163	5	reaction	reaction	NOUN
cana-1513	163	6	and	and	CCONJ
cana-1513	163	7	radiation	radiation	NOUN
cana-1513	163	8	absorption	absorption	NOUN
cana-1513	163	9	on	on	ADP
cana-1513	163	10	the	the	DET
cana-1513	163	11	unsteady	unsteady	ADJ
cana-1513	163	12	free	free	ADJ
cana-1513	163	13	convection	convection	NOUN
cana-1513	163	14	flow	flow	NOUN
cana-1513	163	15	past	past	ADP
cana-1513	163	16	a	a	DET
cana-1513	163	17	semiinfinite	semiinfinite	ADJ
cana-1513	163	18	vertical	vertical	ADJ
cana-1513	163	19	permeable	permeable	ADJ
cana-1513	163	20	moving	move	VERB
cana-1513	163	21	plate	plate	NOUN
cana-1513	163	22	with	with	ADP
cana-1513	163	23	heat	heat	NOUN
cana-1513	163	24	source	source	NOUN
cana-1513	163	25	and	and	CCONJ
cana-1513	163	26	suction	suction	NOUN
cana-1513	163	27	.	.	PUNCT
cana-1513	164	1	communication	communication	NOUN
cana-1513	164	2	in	in	ADP
cana-1513	164	3	nonlinear	nonlinear	ADJ
cana-1513	164	4	science	science	NOUN
cana-1513	164	5	and	and	CCONJ
cana-1513	164	6	numerical	numerical	PROPN
cana-1513	164	7	simulation	simulation	PROPN
cana-1513	164	8	.	.	PUNCT
cana-1513	165	1	13	13	NUM
cana-1513	165	2	(	(	PUNCT
cana-1513	165	3	2008)1056	2008)1056	NUM
cana-1513	165	4	-	-	NOUN
cana-1513	165	5	1066	1066	NUM
cana-1513	165	6	.	.	PUNCT
cana-1513	166	1	www.elsivier.com/locate/cnsns	www.elsivier.com/locate/cnsns	X
cana-1513	167	1	[	[	X
cana-1513	167	2	3	3	X
cana-1513	167	3	]	]	X
cana-1513	167	4	m.c	m.c	PROPN
cana-1513	167	5	.	.	PROPN
cana-1513	167	6	raju	raju	PROPN
cana-1513	167	7	,	,	PUNCT
cana-1513	167	8	n.	n.	PROPN
cana-1513	167	9	ananda	ananda	PROPN
cana-1513	167	10	reddy	reddy	PROPN
cana-1513	167	11	,	,	PUNCT
cana-1513	167	12	s.v.k	s.v.k	ADJ
cana-1513	167	13	.	.	PUNCT
cana-1513	167	14	varma	varma	PROPN
cana-1513	167	15	(	(	PUNCT
cana-1513	167	16	2014	2014	NUM
cana-1513	167	17	)	)	PUNCT
cana-1513	167	18	,	,	PUNCT
cana-1513	167	19	“	"	PUNCT
cana-1513	167	20	analytical	analytical	ADJ
cana-1513	167	21	study	study	NOUN
cana-1513	167	22	of	of	ADP
cana-1513	167	23	mhd	mhd	PROPN
cana-1513	167	24	free	free	ADJ
cana-1513	167	25	convective	convective	NOUN
cana-1513	167	26	,	,	PUNCT
cana-1513	167	27	dissipative	dissipative	ADJ
cana-1513	167	28	boundary	boundary	ADJ
cana-1513	167	29	layer	layer	NOUN
cana-1513	167	30	flow	flow	NOUN
cana-1513	167	31	past	past	ADP
cana-1513	167	32	a	a	DET
cana-1513	167	33	permeable	permeable	ADJ
cana-1513	167	34	vertical	vertical	ADJ
cana-1513	167	35	surface	surface	NOUN
cana-1513	167	36	in	in	ADP
cana-1513	167	37	the	the	DET
cana-1513	167	38	presence	presence	NOUN
cana-1513	167	39	of	of	ADP
cana-1513	167	40	thermal	thermal	ADJ
cana-1513	167	41	radiation	radiation	NOUN
cana-1513	167	42	,	,	PUNCT
cana-1513	167	43	chemical	chemical	NOUN
cana-1513	167	44	reaction	reaction	NOUN
cana-1513	167	45	and	and	CCONJ
cana-1513	167	46	constant	constant	ADJ
cana-1513	167	47	suction	suction	NOUN
cana-1513	167	48	,	,	PUNCT
cana-1513	167	49	”	"	PUNCT
cana-1513	167	50	am	be	AUX
cana-1513	167	51	shams	sham	NOUN
cana-1513	167	52	engineering	engineering	NOUN
cana-1513	167	53	journal	journal	PROPN
cana-1513	167	54	5	5	NUM
cana-1513	167	55	,	,	PUNCT
cana-1513	167	56	1361	1361	NUM
cana-1513	167	57	-	-	SYM
cana-1513	167	58	1369	1369	NUM
cana-1513	167	59	.	.	PUNCT
cana-1513	168	1	communications	communication	NOUN
cana-1513	168	2	on	on	ADP
cana-1513	168	3	applied	apply	VERB
cana-1513	168	4	nonlinear	nonlinear	ADJ
cana-1513	168	5	analysis	analysis	NOUN
cana-1513	168	6	issn	issn	NOUN
cana-1513	168	7	:	:	PUNCT
cana-1513	168	8	1074	1074	NUM
cana-1513	168	9	-	-	PUNCT
cana-1513	168	10	133x	133x	NUM
cana-1513	168	11	vol	vol	NOUN
cana-1513	168	12	31	31	NUM
cana-1513	168	13	no	no	NOUN
cana-1513	168	14	.	.	PUNCT
cana-1513	169	1	8s	8s	PROPN
cana-1513	169	2	(	(	PUNCT
cana-1513	169	3	2024	2024	NUM
cana-1513	169	4	)	)	PUNCT
cana-1513	169	5	374	374	NUM
cana-1513	169	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	170	1	[	[	X
cana-1513	170	2	4	4	X
cana-1513	170	3	]	]	X
cana-1513	170	4	b.	b.	PROPN
cana-1513	170	5	mohanty	mohanty	PROPN
cana-1513	170	6	,	,	PUNCT
cana-1513	170	7	s.r	s.r	PROPN
cana-1513	170	8	.	.	PROPN
cana-1513	170	9	mishra	mishra	PROPN
cana-1513	170	10	and	and	CCONJ
cana-1513	170	11	h.b	h.b	PROPN
cana-1513	170	12	.	.	PROPN
cana-1513	170	13	pattnaik	pattnaik	PROPN
cana-1513	170	14	(	(	PUNCT
cana-1513	170	15	2014	2014	NUM
cana-1513	170	16	)	)	PUNCT
cana-1513	170	17	,	,	PUNCT
cana-1513	170	18	“	"	PUNCT
cana-1513	170	19	mhd	mhd	VERB
cana-1513	170	20	flow	flow	NOUN
cana-1513	170	21	of	of	ADP
cana-1513	170	22	a	a	DET
cana-1513	170	23	visco	visco	ADJ
cana-1513	170	24	-	-	ADJ
cana-1513	170	25	elastic	elastic	ADJ
cana-1513	170	26	fluid	fluid	NOUN
cana-1513	170	27	through	through	ADP
cana-1513	170	28	non	non	ADJ
cana-1513	170	29	homogeneous	homogeneous	ADJ
cana-1513	170	30	porous	porous	ADJ
cana-1513	170	31	medium	medium	NOUN
cana-1513	170	32	with	with	ADP
cana-1513	170	33	oscillatory	oscillatory	ADJ
cana-1513	170	34	suction	suction	NOUN
cana-1513	170	35	and	and	CCONJ
cana-1513	170	36	heat	heat	NOUN
cana-1513	170	37	source	source	NOUN
cana-1513	170	38	/	/	SYM
cana-1513	170	39	sink	sink	NOUN
cana-1513	170	40	,	,	PUNCT
cana-1513	170	41	”	"	PUNCT
cana-1513	170	42	international	international	ADJ
cana-1513	170	43	journal	journal	NOUN
cana-1513	170	44	of	of	ADP
cana-1513	170	45	mathematical	mathematical	ADJ
cana-1513	170	46	education	education	NOUN
cana-1513	170	47	.	.	PUNCT
cana-1513	171	1	issn	issn	PROPN
cana-1513	171	2	0973	0973	NUM
cana-1513	171	3	-	-	SYM
cana-1513	171	4	6948	6948	NUM
cana-1513	171	5	,	,	PUNCT
cana-1513	171	6	volume	volume	NOUN
cana-1513	171	7	4	4	NUM
cana-1513	171	8	,	,	PUNCT
cana-1513	171	9	number	number	NOUN
cana-1513	171	10	1	1	NUM
cana-1513	171	11	,	,	PUNCT
cana-1513	171	12	pp	pp	ADJ
cana-1513	171	13	.	.	PUNCT
cana-1513	172	1	21	21	NUM
cana-1513	172	2	-	-	SYM
cana-1513	172	3	34	34	NUM
cana-1513	172	4	.	.	PUNCT
cana-1513	173	1	[	[	X
cana-1513	173	2	5	5	X
cana-1513	173	3	]	]	X
cana-1513	173	4	r.k	r.k	PROPN
cana-1513	173	5	.	.	PROPN
cana-1513	173	6	deka	deka	PROPN
cana-1513	173	7	and	and	CCONJ
cana-1513	173	8	b.c	b.c	PROPN
cana-1513	173	9	.	.	PROPN
cana-1513	174	1	neog	neog	NOUN
cana-1513	174	2	(	(	PUNCT
cana-1513	174	3	2009	2009	NUM
cana-1513	174	4	)	)	PUNCT
cana-1513	174	5	,	,	PUNCT
cana-1513	174	6	“	"	PUNCT
cana-1513	174	7	unsteady	unsteady	ADJ
cana-1513	174	8	mhd	mhd	NOUN
cana-1513	174	9	flow	flow	NOUN
cana-1513	174	10	past	past	ADP
cana-1513	174	11	a	a	DET
cana-1513	174	12	vertical	vertical	ADJ
cana-1513	174	13	oscillating	oscillate	VERB
cana-1513	174	14	plate	plate	NOUN
cana-1513	174	15	with	with	ADP
cana-1513	174	16	thermal	thermal	ADJ
cana-1513	174	17	radiation	radiation	NOUN
cana-1513	174	18	and	and	CCONJ
cana-1513	174	19	variable	variable	ADJ
cana-1513	174	20	mass	mass	NOUN
cana-1513	174	21	diffusion	diffusion	NOUN
cana-1513	174	22	,	,	PUNCT
cana-1513	174	23	”	"	PUNCT
cana-1513	174	24	chamchuri	chamchuri	PROPN
cana-1513	174	25	journal	journal	PROPN
cana-1513	174	26	of	of	ADP
cana-1513	174	27	mathematics	mathematics	PROPN
cana-1513	174	28	volume	volume	NOUN
cana-1513	174	29	1	1	NUM
cana-1513	174	30	number	number	NOUN
cana-1513	174	31	2	2	NUM
cana-1513	174	32	,	,	PUNCT
cana-1513	174	33	79	79	NUM
cana-1513	174	34	-	-	SYM
cana-1513	174	35	92	92	NUM
cana-1513	174	36	,	,	PUNCT
cana-1513	174	37	http://www.math.sc.chula.ac.th/cjm	http://www.math.sc.chula.ac.th/cjm	X
cana-1513	175	1	[	[	X
cana-1513	175	2	6	6	NUM
cana-1513	175	3	]	]	X
cana-1513	175	4	r.a	r.a	PROPN
cana-1513	175	5	.	.	PROPN
cana-1513	175	6	mohamed	mohamed	PROPN
cana-1513	175	7	abdel	abdel	PROPN
cana-1513	175	8	-	-	PUNCT
cana-1513	175	9	nasser	nasser	PROPN
cana-1513	175	10	a.	a.	PROPN
cana-1513	175	11	osman	osman	PROPN
cana-1513	175	12	s.m	s.m	PROPN
cana-1513	175	13	.	.	PROPN
cana-1513	175	14	abo	abo	PROPN
cana-1513	175	15	-	-	PUNCT
cana-1513	175	16	dahab	dahab	PROPN
cana-1513	175	17	(	(	PUNCT
cana-1513	175	18	2013	2013	NUM
cana-1513	175	19	)	)	PUNCT
cana-1513	175	20	,	,	PUNCT
cana-1513	175	21	“	"	PUNCT
cana-1513	175	22	unsteady	unsteady	ADJ
cana-1513	175	23	mhd	mhd	ADJ
cana-1513	175	24	double	double	ADJ
cana-1513	175	25	-	-	PUNCT
cana-1513	175	26	diffusive	diffusive	ADJ
cana-1513	175	27	convection	convection	NOUN
cana-1513	175	28	boundary	boundary	ADJ
cana-1513	175	29	-	-	PUNCT
cana-1513	175	30	layer	layer	NOUN
cana-1513	175	31	flow	flow	NOUN
cana-1513	175	32	past	past	ADP
cana-1513	175	33	a	a	DET
cana-1513	175	34	radiate	radiate	ADJ
cana-1513	175	35	hot	hot	ADJ
cana-1513	175	36	vertical	vertical	ADJ
cana-1513	175	37	surface	surface	NOUN
cana-1513	175	38	in	in	ADP
cana-1513	175	39	porous	porous	ADJ
cana-1513	175	40	media	medium	NOUN
cana-1513	175	41	in	in	ADP
cana-1513	175	42	the	the	DET
cana-1513	175	43	presence	presence	NOUN
cana-1513	175	44	of	of	ADP
cana-1513	175	45	chemical	chemical	ADJ
cana-1513	175	46	reaction	reaction	NOUN
cana-1513	175	47	and	and	CCONJ
cana-1513	175	48	heat	heat	NOUN
cana-1513	175	49	sink	sink	NOUN
cana-1513	175	50	,	,	PUNCT
cana-1513	175	51	”	"	PUNCT
cana-1513	175	52	meccanica	meccanica	PROPN
cana-1513	175	53	48:931	48:931	NUM
cana-1513	175	54	-	-	PUNCT
cana-1513	175	55	942	942	NUM
cana-1513	175	56	doi	doi	NOUN
cana-1513	175	57	10.1007	10.1007	NUM
cana-1513	175	58	/	/	SYM
cana-1513	175	59	s11012	s11012	NOUN
cana-1513	175	60	-	-	PUNCT
cana-1513	175	61	012	012	NUM
cana-1513	175	62	-	-	PUNCT
cana-1513	175	63	9644	9644	NUM
cana-1513	175	64	-	-	SYM
cana-1513	175	65	0	0	NUM
cana-1513	175	66	.	.	PUNCT
cana-1513	176	1	[	[	X
cana-1513	176	2	7	7	X
cana-1513	176	3	]	]	X
cana-1513	176	4	r.	r.	PROPN
cana-1513	176	5	kandasamya	kandasamya	PROPN
cana-1513	176	6	,	,	PUNCT
cana-1513	176	7	k.	k.	PROPN
cana-1513	177	1	periasamy	periasamy	PROPN
cana-1513	177	2	b	b	PROPN
cana-1513	177	3	,	,	PUNCT
cana-1513	177	4	k.k	k.k	PROPN
cana-1513	177	5	.	.	PROPN
cana-1513	177	6	sivagnana	sivagnana	PROPN
cana-1513	177	7	prabhu	prabhu	PROPN
cana-1513	177	8	(	(	PUNCT
cana-1513	177	9	2005	2005	NUM
cana-1513	177	10	)	)	PUNCT
cana-1513	177	11	,	,	PUNCT
cana-1513	177	12	“	"	PUNCT
cana-1513	177	13	effects	effect	NOUN
cana-1513	177	14	of	of	ADP
cana-1513	177	15	chemical	chemical	NOUN
cana-1513	177	16	reaction	reaction	NOUN
cana-1513	177	17	,	,	PUNCT
cana-1513	177	18	heat	heat	NOUN
cana-1513	177	19	and	and	CCONJ
cana-1513	177	20	mass	mass	NOUN
cana-1513	177	21	transfer	transfer	NOUN
cana-1513	177	22	along	along	ADP
cana-1513	177	23	a	a	DET
cana-1513	177	24	wedge	wedge	NOUN
cana-1513	177	25	with	with	ADP
cana-1513	177	26	heat	heat	NOUN
cana-1513	177	27	source	source	NOUN
cana-1513	177	28	and	and	CCONJ
cana-1513	177	29	concentration	concentration	NOUN
cana-1513	177	30	in	in	ADP
cana-1513	177	31	the	the	DET
cana-1513	177	32	presence	presence	NOUN
cana-1513	177	33	of	of	ADP
cana-1513	177	34	suction	suction	NOUN
cana-1513	177	35	or	or	CCONJ
cana-1513	177	36	injection	injection	NOUN
cana-1513	177	37	,	,	PUNCT
cana-1513	177	38	”	"	PUNCT
cana-1513	177	39	international	international	ADJ
cana-1513	177	40	journal	journal	NOUN
cana-1513	177	41	of	of	ADP
cana-1513	177	42	heat	heat	NOUN
cana-1513	177	43	and	and	CCONJ
cana-1513	177	44	mass	mass	NOUN
cana-1513	177	45	transfer	transfer	NOUN
cana-1513	177	46	48	48	NUM
cana-1513	177	47	,	,	PUNCT
cana-1513	177	48	1388	1388	NUM
cana-1513	177	49	-	-	SYM
cana-1513	177	50	1394	1394	NUM
cana-1513	177	51	.	.	PUNCT
cana-1513	178	1	[	[	X
cana-1513	178	2	8	8	NUM
cana-1513	178	3	]	]	X
cana-1513	178	4	murali	murali	PROPN
cana-1513	178	5	gundagani	gundagani	PROPN
cana-1513	178	6	,	,	PUNCT
cana-1513	178	7	sivaiah	sivaiah	NOUN
cana-1513	178	8	sheri	sheri	NOUN
cana-1513	178	9	,	,	PUNCT
cana-1513	178	10	ajit	ajit	NOUN
cana-1513	178	11	paul	paul	PROPN
cana-1513	178	12	,	,	PUNCT
cana-1513	178	13	and	and	CCONJ
cana-1513	178	14	m.c.k	m.c.k	PROPN
cana-1513	178	15	.	.	PUNCT
cana-1513	178	16	reddy	reddy	PROPN
cana-1513	178	17	(	(	PUNCT
cana-1513	178	18	2013	2013	NUM
cana-1513	178	19	)	)	PUNCT
cana-1513	178	20	,	,	PUNCT
cana-1513	178	21	“	"	PUNCT
cana-1513	178	22	unsteady	unsteady	ADJ
cana-1513	178	23	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1513	178	24	free	free	ADJ
cana-1513	178	25	convective	convective	ADJ
cana-1513	178	26	flow	flow	NOUN
cana-1513	178	27	past	past	ADP
cana-1513	178	28	a	a	DET
cana-1513	178	29	vertical	vertical	ADJ
cana-1513	178	30	porous	porous	ADJ
cana-1513	178	31	plate	plate	NOUN
cana-1513	178	32	,	,	PUNCT
cana-1513	178	33	”	"	PUNCT
cana-1513	178	34	international	international	ADJ
cana-1513	178	35	journal	journal	NOUN
cana-1513	178	36	of	of	ADP
cana-1513	178	37	applied	apply	VERB
cana-1513	178	38	science	science	NOUN
cana-1513	178	39	and	and	CCONJ
cana-1513	178	40	engineering	engineering	NOUN
cana-1513	178	41	.	.	PUNCT
cana-1513	179	1	11	11	NUM
cana-1513	179	2	,	,	PUNCT
cana-1513	179	3	3	3	NUM
cana-1513	179	4	:	:	PUNCT
cana-1513	179	5	267	267	NUM
cana-1513	179	6	-	-	SYM
cana-1513	179	7	275	275	NUM
cana-1513	179	8	.	.	PUNCT
cana-1513	180	1	[	[	X
cana-1513	180	2	9	9	NUM
cana-1513	180	3	]	]	PUNCT
cana-1513	180	4	m.	m.	NOUN
cana-1513	180	5	umamaheswar	umamaheswar	NOUN
cana-1513	180	6	,	,	PUNCT
cana-1513	180	7	s.v.k	s.v.k	ADJ
cana-1513	180	8	.	.	PUNCT
cana-1513	180	9	varma	varma	PROPN
cana-1513	180	10	and	and	CCONJ
cana-1513	180	11	m.c	m.c	PROPN
cana-1513	180	12	.	.	PROPN
cana-1513	180	13	raju	raju	PROPN
cana-1513	180	14	(	(	PUNCT
cana-1513	180	15	2013	2013	NUM
cana-1513	180	16	)	)	PUNCT
cana-1513	180	17	,	,	PUNCT
cana-1513	180	18	“	"	PUNCT
cana-1513	180	19	unsteady	unsteady	ADJ
cana-1513	180	20	mhd	mhd	NOUN
cana-1513	180	21	free	free	ADJ
cana-1513	180	22	convective	convective	ADJ
cana-1513	180	23	visco	visco	ADJ
cana-1513	180	24	-	-	ADJ
cana-1513	180	25	elastic	elastic	ADJ
cana-1513	180	26	fluid	fluid	NOUN
cana-1513	180	27	flow	flow	NOUN
cana-1513	180	28	bounded	bound	VERB
cana-1513	180	29	by	by	ADP
cana-1513	180	30	an	an	DET
cana-1513	180	31	infinite	infinite	ADJ
cana-1513	180	32	inclined	inclined	ADJ
cana-1513	180	33	porous	porous	ADJ
cana-1513	180	34	plate	plate	NOUN
cana-1513	180	35	in	in	ADP
cana-1513	180	36	the	the	DET
cana-1513	180	37	presence	presence	NOUN
cana-1513	180	38	of	of	ADP
cana-1513	180	39	heat	heat	NOUN
cana-1513	180	40	source	source	NOUN
cana-1513	180	41	,	,	PUNCT
cana-1513	180	42	viscous	viscous	ADJ
cana-1513	180	43	dissipation	dissipation	NOUN
cana-1513	180	44	and	and	CCONJ
cana-1513	180	45	ohmic	ohmic	ADJ
cana-1513	180	46	heating	heating	NOUN
cana-1513	180	47	,	,	PUNCT
cana-1513	180	48	”	"	PUNCT
cana-1513	180	49	international	international	ADJ
cana-1513	180	50	journal	journal	NOUN
cana-1513	180	51	of	of	ADP
cana-1513	180	52	advanced	advanced	ADJ
cana-1513	180	53	science	science	NOUN
cana-1513	180	54	and	and	CCONJ
cana-1513	180	55	technology	technology	NOUN
cana-1513	180	56	vol.61	vol.61	NOUN
cana-1513	180	57	.	.	PUNCT
cana-1513	181	1	pp.39	pp.39	NOUN
cana-1513	181	2	-	-	PUNCT
cana-1513	181	3	52	52	NUM
cana-1513	181	4	http://dx.doi.org/10.14257/ljast.2013.61.05	http://dx.doi.org/10.14257/ljast.2013.61.05	NOUN
cana-1513	181	5	.	.	PUNCT
cana-1513	182	1	[	[	X
cana-1513	182	2	10	10	NUM
cana-1513	182	3	]	]	X
cana-1513	182	4	s.	s.	PROPN
cana-1513	182	5	sreenadh	sreenadh	PROPN
cana-1513	182	6	,	,	PUNCT
cana-1513	182	7	p.	p.	NOUN
cana-1513	182	8	govardhan	govardhan	NOUN
cana-1513	182	9	,	,	PUNCT
cana-1513	182	10	and	and	CCONJ
cana-1513	182	11	y.v.k	y.v.k	NOUN
cana-1513	182	12	.	.	PUNCT
cana-1513	183	1	ravi	ravi	PROPN
cana-1513	183	2	kumar	kumar	PROPN
cana-1513	183	3	(	(	PUNCT
cana-1513	183	4	2014	2014	NUM
cana-1513	183	5	)	)	PUNCT
cana-1513	183	6	,	,	PUNCT
cana-1513	183	7	“	"	PUNCT
cana-1513	183	8	effects	effect	NOUN
cana-1513	183	9	of	of	ADP
cana-1513	183	10	slip	slip	NOUN
cana-1513	183	11	and	and	CCONJ
cana-1513	183	12	heat	heat	NOUN
cana-1513	183	13	transfer	transfer	NOUN
cana-1513	183	14	on	on	ADP
cana-1513	183	15	the	the	DET
cana-1513	183	16	peristaltic	peristaltic	ADJ
cana-1513	183	17	pumping	pumping	NOUN
cana-1513	183	18	of	of	ADP
cana-1513	183	19	a	a	DET
cana-1513	183	20	williamson	williamson	NOUN
cana-1513	183	21	fluid	fluid	NOUN
cana-1513	183	22	in	in	ADP
cana-1513	183	23	an	an	DET
cana-1513	183	24	inclined	inclined	ADJ
cana-1513	183	25	channel	channel	NOUN
cana-1513	183	26	,	,	PUNCT
cana-1513	183	27	”	"	PUNCT
cana-1513	183	28	international	international	ADJ
cana-1513	183	29	journal	journal	NOUN
cana-1513	183	30	of	of	ADP
cana-1513	183	31	applied	apply	VERB
cana-1513	183	32	science	science	NOUN
cana-1513	183	33	and	and	CCONJ
cana-1513	183	34	engineering	engineering	NOUN
cana-1513	183	35	.	.	PUNCT
cana-1513	184	1	12	12	NUM
cana-1513	184	2	,	,	PUNCT
cana-1513	184	3	2	2	NUM
cana-1513	184	4	:	:	PUNCT
cana-1513	184	5	143	143	NUM
cana-1513	184	6	-	-	SYM
cana-1513	184	7	155	155	NUM
cana-1513	184	8	.	.	PUNCT
cana-1513	185	1	[	[	X
cana-1513	185	2	11	11	NUM
cana-1513	185	3	]	]	PUNCT
cana-1513	185	4	j.	j.	PROPN
cana-1513	185	5	i.	i.	PROPN
cana-1513	185	6	oahimire	oahimire	PROPN
cana-1513	185	7	and	and	CCONJ
cana-1513	185	8	b.i	b.i	PROPN
cana-1513	185	9	.	.	PROPN
cana-1513	185	10	olajuwon	olajuwon	PROPN
cana-1513	185	11	(	(	PUNCT
cana-1513	185	12	2013	2013	NUM
cana-1513	185	13	)	)	PUNCT
cana-1513	185	14	,	,	PUNCT
cana-1513	185	15	“	"	PUNCT
cana-1513	185	16	hydromagnetic	hydromagnetic	ADJ
cana-1513	185	17	flow	flow	NOUN
cana-1513	185	18	near	near	ADP
cana-1513	185	19	a	a	DET
cana-1513	185	20	stagnation	stagnation	NOUN
cana-1513	185	21	point	point	NOUN
cana-1513	185	22	on	on	ADP
cana-1513	185	23	a	a	DET
cana-1513	185	24	stretching	stretch	VERB
cana-1513	185	25	sheet	sheet	NOUN
cana-1513	185	26	with	with	ADP
cana-1513	185	27	variable	variable	ADJ
cana-1513	185	28	thermal	thermal	ADJ
cana-1513	185	29	conductivity	conductivity	NOUN
cana-1513	185	30	and	and	CCONJ
cana-1513	185	31	heat	heat	NOUN
cana-1513	185	32	source	source	NOUN
cana-1513	185	33	/	/	SYM
cana-1513	185	34	sink	sink	NOUN
cana-1513	185	35	,	,	PUNCT
cana-1513	185	36	”	"	PUNCT
cana-1513	185	37	international	international	ADJ
cana-1513	185	38	journal	journal	NOUN
cana-1513	185	39	of	of	ADP
cana-1513	185	40	applied	apply	VERB
cana-1513	185	41	science	science	NOUN
cana-1513	185	42	and	and	CCONJ
cana-1513	185	43	engineering	engineering	NOUN
cana-1513	185	44	.	.	PUNCT
cana-1513	186	1	11	11	NUM
cana-1513	186	2	,	,	PUNCT
cana-1513	186	3	3	3	NUM
cana-1513	186	4	:	:	PUNCT
cana-1513	186	5	331	331	NUM
cana-1513	186	6	-	-	SYM
cana-1513	186	7	341	341	NUM
cana-1513	186	8	.	.	PUNCT
cana-1513	187	1	[	[	X
cana-1513	187	2	12	12	NUM
cana-1513	187	3	]	]	PUNCT
cana-1513	187	4	b.	b.	PROPN
cana-1513	187	5	mamatha	mamatha	PROPN
cana-1513	187	6	,	,	PUNCT
cana-1513	187	7	s.v.k	s.v.k	ADJ
cana-1513	187	8	.	.	PUNCT
cana-1513	187	9	varma	varma	PROPN
cana-1513	187	10	,	,	PUNCT
cana-1513	187	11	and	and	CCONJ
cana-1513	187	12	m.c	m.c	PROPN
cana-1513	187	13	.	.	PROPN
cana-1513	188	1	raju	raju	PROPN
cana-1513	188	2	(	(	PUNCT
cana-1513	188	3	2015	2015	NUM
cana-1513	188	4	)	)	PUNCT
cana-1513	188	5	,	,	PUNCT
cana-1513	188	6	“	"	PUNCT
cana-1513	188	7	unsteady	unsteady	ADJ
cana-1513	188	8	mhd	mhd	ADJ
cana-1513	188	9	mixed	mixed	ADJ
cana-1513	188	10	convection	convection	NOUN
cana-1513	188	11	,	,	PUNCT
cana-1513	188	12	radiative	radiative	ADJ
cana-1513	188	13	boundary	boundary	ADJ
cana-1513	188	14	layer	layer	NOUN
cana-1513	188	15	flow	flow	NOUN
cana-1513	188	16	of	of	ADP
cana-1513	188	17	a	a	DET
cana-1513	188	18	micro	micro	ADJ
cana-1513	188	19	polar	polar	ADJ
cana-1513	188	20	fluid	fluid	NOUN
cana-1513	188	21	past	past	ADP
cana-1513	188	22	a	a	DET
cana-1513	188	23	semi	semi	ADJ
cana-1513	188	24	-	-	ADJ
cana-1513	188	25	infinite	infinite	ADJ
cana-1513	188	26	vertical	vertical	ADJ
cana-1513	188	27	porous	porous	ADJ
cana-1513	188	28	plate	plate	NOUN
cana-1513	188	29	with	with	ADP
cana-1513	188	30	suction	suction	NOUN
cana-1513	188	31	,	,	PUNCT
cana-1513	188	32	”	"	PUNCT
cana-1513	188	33	international	international	ADJ
cana-1513	188	34	journal	journal	NOUN
cana-1513	188	35	of	of	ADP
cana-1513	188	36	applied	apply	VERB
cana-1513	188	37	science	science	NOUN
cana-1513	188	38	and	and	CCONJ
cana-1513	188	39	engineering	engineering	NOUN
cana-1513	188	40	,	,	PUNCT
cana-1513	188	41	13	13	NUM
cana-1513	188	42	,	,	PUNCT
cana-1513	188	43	2	2	NUM
cana-1513	188	44	:	:	SYM
cana-1513	188	45	133	133	NUM
cana-1513	188	46	-	-	SYM
cana-1513	188	47	146	146	NUM
cana-1513	188	48	.	.	PUNCT
cana-1513	189	1	[	[	X
cana-1513	189	2	13	13	NUM
cana-1513	189	3	]	]	SYM
cana-1513	189	4	k.v.s	k.v.s	PROPN
cana-1513	189	5	.	.	PUNCT
cana-1513	189	6	raju	raju	PROPN
cana-1513	189	7	,	,	PUNCT
cana-1513	189	8	t.	t.	PROPN
cana-1513	189	9	sudhakar	sudhakar	PROPN
cana-1513	189	10	reddy	reddy	PROPN
cana-1513	189	11	,	,	PUNCT
cana-1513	189	12	m.c	m.c	PROPN
cana-1513	189	13	.	.	PROPN
cana-1513	189	14	raju	raju	PROPN
cana-1513	189	15	&	&	CCONJ
cana-1513	189	16	s.	s.	PROPN
cana-1513	189	17	venkata	venkata	PROPN
cana-1513	189	18	ramana	ramana	PROPN
cana-1513	189	19	(	(	PUNCT
cana-1513	189	20	2013	2013	NUM
cana-1513	189	21	)	)	PUNCT
cana-1513	189	22	,	,	PUNCT
cana-1513	189	23	“	"	PUNCT
cana-1513	189	24	free	free	ADJ
cana-1513	189	25	convective	convective	ADJ
cana-1513	189	26	heat	heat	NOUN
cana-1513	189	27	and	and	CCONJ
cana-1513	189	28	mass	mass	NOUN
cana-1513	189	29	transfer	transfer	NOUN
cana-1513	189	30	transient	transient	NOUN
cana-1513	189	31	flow	flow	NOUN
cana-1513	189	32	past	past	ADP
cana-1513	189	33	an	an	DET
cana-1513	189	34	exponentially	exponentially	ADV
cana-1513	189	35	accelerated	accelerate	VERB
cana-1513	189	36	vertical	vertical	ADJ
cana-1513	189	37	plate	plate	NOUN
cana-1513	189	38	with	with	ADP
cana-1513	189	39	newtonian	newtonian	ADJ
cana-1513	189	40	heating	heating	NOUN
cana-1513	189	41	in	in	ADP
cana-1513	189	42	the	the	DET
cana-1513	189	43	presence	presence	NOUN
cana-1513	189	44	of	of	ADP
cana-1513	189	45	radiation	radiation	NOUN
cana-1513	189	46	,	,	PUNCT
cana-1513	189	47	”	"	PUNCT
cana-1513	189	48	international	international	ADJ
cana-1513	189	49	journal	journal	NOUN
cana-1513	189	50	of	of	ADP
cana-1513	189	51	mathematics	mathematics	PROPN
cana-1513	189	52	and	and	CCONJ
cana-1513	189	53	computer	computer	NOUN
cana-1513	189	54	applications	application	NOUN
cana-1513	189	55	research	research	NOUN
cana-1513	189	56	(	(	PUNCT
cana-1513	189	57	ijmcar	ijmcar	NOUN
cana-1513	189	58	)	)	PUNCT
cana-1513	189	59	issn	issn	PROPN
cana-1513	189	60	2249	2249	NUM
cana-1513	189	61	-	-	SYM
cana-1513	189	62	6955	6955	NUM
cana-1513	189	63	vol.3	vol.3	PROPN
cana-1513	189	64	,	,	PUNCT
cana-1513	189	65	issue	issue	NOUN
cana-1513	189	66	2	2	NUM
cana-1513	189	67	,	,	PUNCT
cana-1513	189	68	215226o	215226o	NUM
cana-1513	189	69	.	.	PUNCT
cana-1513	190	1	[	[	X
cana-1513	190	2	14	14	NUM
cana-1513	190	3	]	]	X
cana-1513	190	4	v.	v.	CCONJ
cana-1513	190	5	rajesh	rajesh	PROPN
cana-1513	190	6	(	(	PUNCT
cana-1513	190	7	2011	2011	NUM
cana-1513	190	8	)	)	PUNCT
cana-1513	190	9	,	,	PUNCT
cana-1513	190	10	“	"	PUNCT
cana-1513	190	11	heat	heat	NOUN
cana-1513	190	12	source	source	NOUN
cana-1513	190	13	and	and	CCONJ
cana-1513	190	14	mass	mass	NOUN
cana-1513	190	15	transfer	transfer	NOUN
cana-1513	190	16	effects	effect	NOUN
cana-1513	190	17	on	on	ADP
cana-1513	190	18	mhd	mhd	NOUN
cana-1513	190	19	flow	flow	NOUN
cana-1513	190	20	of	of	ADP
cana-1513	190	21	an	an	DET
cana-1513	190	22	elastic	elastic	ADJ
cana-1513	190	23	-	-	PUNCT
cana-1513	190	24	viscous	viscous	ADJ
cana-1513	190	25	fluid	fluid	NOUN
cana-1513	190	26	through	through	ADP
cana-1513	190	27	a	a	DET
cana-1513	190	28	porous	porous	ADJ
cana-1513	190	29	medium	medium	NOUN
cana-1513	190	30	,	,	PUNCT
cana-1513	190	31	”	"	PUNCT
cana-1513	190	32	annals	annals	NOUN
cana-1513	190	33	of	of	ADP
cana-1513	190	34	engineering	engineering	NOUN
cana-1513	190	35	hunedoara	hunedoara	PROPN
cana-1513	190	36	international	international	PROPN
cana-1513	190	37	journal	journal	NOUN
cana-1513	190	38	of	of	ADP
cana-1513	190	39	engineering	engineering	NOUN
cana-1513	190	40	volume	volume	NOUN
cana-1513	190	41	ix	ix	PROPN
cana-1513	190	42	.	.	PUNCT
cana-1513	190	43	number	number	NOUN
cana-1513	190	44	2	2	NUM
cana-1513	190	45	.	.	PUNCT
cana-1513	190	46	(	(	PUNCT
cana-1513	190	47	issn	issn	PROPN
cana-1513	190	48	1584	1584	NUM
cana-1513	190	49	-	-	SYM
cana-1513	190	50	2665	2665	NUM
cana-1513	190	51	)	)	PUNCT
cana-1513	190	52	.	.	PUNCT
cana-1513	191	1	[	[	X
cana-1513	191	2	15	15	NUM
cana-1513	191	3	]	]	X
cana-1513	191	4	s.f	s.f	PROPN
cana-1513	191	5	.	.	PROPN
cana-1513	191	6	ahmmed	ahmmed	PROPN
cana-1513	191	7	,	,	PUNCT
cana-1513	191	8	m.k	m.k	PROPN
cana-1513	191	9	.	.	PUNCT
cana-1513	191	10	das	das	PROPN
cana-1513	191	11	,	,	PUNCT
cana-1513	191	12	l.e	l.e	PROPN
cana-1513	191	13	.	.	PROPN
cana-1513	191	14	ali	ali	PROPN
cana-1513	191	15	(	(	PUNCT
cana-1513	191	16	2015	2015	NUM
cana-1513	191	17	)	)	PUNCT
cana-1513	191	18	,	,	PUNCT
cana-1513	191	19	“	"	PUNCT
cana-1513	191	20	analytical	analytical	ADJ
cana-1513	191	21	study	study	NOUN
cana-1513	191	22	on	on	ADP
cana-1513	191	23	unsteady	unsteady	ADJ
cana-1513	191	24	mhd	mhd	NOUN
cana-1513	191	25	free	free	ADJ
cana-1513	191	26	convection	convection	NOUN
cana-1513	191	27	and	and	CCONJ
cana-1513	191	28	mass	mass	NOUN
cana-1513	191	29	transfer	transfer	NOUN
cana-1513	191	30	flow	flow	NOUN
cana-1513	191	31	past	past	ADP
cana-1513	191	32	a	a	DET
cana-1513	191	33	vertical	vertical	ADJ
cana-1513	191	34	porous	porous	ADJ
cana-1513	191	35	plate	plate	NOUN
cana-1513	191	36	,	,	PUNCT
cana-1513	191	37	”	"	PUNCT
cana-1513	191	38	published	publish	VERB
cana-1513	191	39	online	online	ADJ
cana-1513	191	40	march	march	PROPN
cana-1513	191	41	28,2015(http://www.sciencepublishinggroup.com	28,2015(http://www.sciencepublishinggroup.com	NUM
cana-1513	191	42	/	/	SYM
cana-1513	191	43	j	j	NOUN
cana-1513	191	44	/	/	SYM
cana-1513	191	45	ajam)doi:0.11648	ajam)doi:0.11648	NUM
cana-1513	191	46	/	/	SYM
cana-1513	191	47	j.ajam.20150302.16	j.ajam.20150302.16	PROPN
cana-1513	191	48	issn	issn	PROPN
cana-1513	191	49	:	:	PUNCT
cana-1513	191	50	2330	2330	NUM
cana-1513	191	51	-	-	SYM
cana-1513	191	52	0043	0043	NUM
cana-1513	191	53	(	(	PUNCT
cana-1513	191	54	print	print	NOUN
cana-1513	191	55	)	)	PUNCT
cana-1513	191	56	;	;	PUNCT
cana-1513	191	57	issn	issn	PROPN
cana-1513	191	58	:	:	PUNCT
cana-1513	191	59	2330	2330	NUM
cana-1513	191	60	-	-	PUNCT
cana-1513	191	61	006x	006x	NOUN
cana-1513	191	62	(	(	PUNCT
cana-1513	191	63	online	online	ADJ
cana-1513	191	64	)	)	PUNCT
cana-1513	191	65	american	american	ADJ
cana-1513	191	66	journal	journal	PROPN
cana-1513	191	67	of	of	ADP
cana-1513	191	68	applied	apply	VERB
cana-1513	191	69	mathematics	mathematic	NOUN
cana-1513	191	70	;	;	PUNCT
cana-1513	191	71	3(2	3(2	NUM
cana-1513	191	72	):	):	PUNCT
cana-1513	191	73	64	64	NUM
cana-1513	191	74	-	-	SYM
cana-1513	191	75	74	74	NUM
cana-1513	191	76	.	.	PUNCT
cana-1513	192	1	[	[	X
cana-1513	192	2	16	16	NUM
cana-1513	192	3	]	]	X
cana-1513	192	4	mangali	mangali	PROPN
cana-1513	192	5	veera	veera	NOUN
cana-1513	192	6	krishna	krishna	PROPN
cana-1513	192	7	,	,	PUNCT
cana-1513	192	8	kamboji	kamboji	PROPN
cana-1513	192	9	jyothi	jyothi	PROPN
cana-1513	192	10	,	,	PUNCT
cana-1513	192	11	&	&	CCONJ
cana-1513	192	12	ali	ali	PROPN
cana-1513	192	13	j.	j.	PROPN
cana-1513	192	14	chamkha	chamkha	PROPN
cana-1513	192	15	(	(	PUNCT
cana-1513	192	16	2018	2018	NUM
cana-1513	192	17	)	)	PUNCT
cana-1513	192	18	,	,	PUNCT
cana-1513	192	19	“	"	PUNCT
cana-1513	192	20	heat	heat	NOUN
cana-1513	192	21	and	and	CCONJ
cana-1513	192	22	mass	mass	NOUN
cana-1513	192	23	transfer	transfer	NOUN
cana-1513	192	24	on	on	ADP
cana-1513	192	25	the	the	DET
cana-1513	192	26	unsteady	unsteady	ADJ
cana-1513	192	27	,	,	PUNCT
cana-1513	192	28	magnetohydrodynamic	magnetohydrodynamic	ADJ
cana-1513	192	29	,	,	PUNCT
cana-1513	192	30	oscillatory	oscillatory	ADJ
cana-1513	192	31	flow	flow	NOUN
cana-1513	192	32	of	of	ADP
cana-1513	192	33	second	second	ADJ
cana-1513	192	34	-	-	PUNCT
cana-1513	192	35	grade	grade	NOUN
cana-1513	192	36	fluid	fluid	NOUN
cana-1513	192	37	through	through	ADP
cana-1513	192	38	a	a	DET
cana-1513	192	39	porous	porous	ADJ
cana-1513	192	40	medium	medium	NOUN
cana-1513	192	41	between	between	ADP
cana-1513	192	42	two	two	NUM
cana-1513	192	43	vertical	vertical	ADJ
cana-1513	192	44	plates	plate	NOUN
cana-1513	192	45	,	,	PUNCT
cana-1513	192	46	under	under	ADP
cana-1513	192	47	the	the	DET
cana-1513	192	48	influence	influence	NOUN
cana-1513	192	49	of	of	ADP
cana-1513	192	50	fluctuating	fluctuate	VERB
cana-1513	192	51	heat	heat	NOUN
cana-1513	192	52	source	source	NOUN
cana-1513	192	53	/	/	SYM
cana-1513	192	54	sink	sink	NOUN
cana-1513	192	55	,	,	PUNCT
cana-1513	192	56	and	and	CCONJ
cana-1513	192	57	chemical	chemical	NOUN
cana-1513	192	58	reaction	reaction	NOUN
cana-1513	192	59	,	,	PUNCT
cana-1513	192	60	”	"	PUNCT
cana-1513	192	61	international	international	ADJ
cana-1513	192	62	journal	journal	NOUN
cana-1513	192	63	of	of	ADP
cana-1513	192	64	fluid	fluid	ADJ
cana-1513	192	65	mechanics	mechanic	NOUN
cana-1513	192	66	research	research	NOUN
cana-1513	192	67	,	,	PUNCT
cana-1513	192	68	45(5):459	45(5):459	PROPN
cana-1513	192	69	-	-	SYM
cana-1513	192	70	477	477	NUM
cana-1513	192	71	.	.	PUNCT
cana-1513	193	1	[	[	X
cana-1513	193	2	17	17	NUM
cana-1513	193	3	]	]	X
cana-1513	193	4	s.	s.	PROPN
cana-1513	193	5	mondal	mondal	PROPN
cana-1513	193	6	,	,	PUNCT
cana-1513	193	7	s.	s.	PROPN
cana-1513	193	8	parvin	parvin	PROPN
cana-1513	193	9	,	,	PUNCT
cana-1513	193	10	s.f	s.f	PROPN
cana-1513	193	11	.	.	PROPN
cana-1513	193	12	ahmmed	ahmmed	PROPN
cana-1513	193	13	,	,	PUNCT
cana-1513	193	14	“	"	PUNCT
cana-1513	193	15	effects	effect	NOUN
cana-1513	193	16	of	of	ADP
cana-1513	193	17	radiation	radiation	NOUN
cana-1513	193	18	and	and	CCONJ
cana-1513	193	19	chemical	chemical	NOUN
cana-1513	193	20	reaction	reaction	NOUN
cana-1513	193	21	on	on	ADP
cana-1513	193	22	mhd	mhd	PROPN
cana-1513	193	23	free	free	ADJ
cana-1513	193	24	convection	convection	NOUN
cana-1513	193	25	flow	flow	NOUN
cana-1513	193	26	past	past	ADP
cana-1513	193	27	a	a	DET
cana-1513	193	28	vertical	vertical	ADJ
cana-1513	193	29	plate	plate	NOUN
cana-1513	193	30	in	in	ADP
cana-1513	193	31	the	the	DET
cana-1513	193	32	porous	porous	ADJ
cana-1513	193	33	medium	medium	NOUN
cana-1513	193	34	,	,	PUNCT
cana-1513	193	35	”	"	PUNCT
cana-1513	193	36	american	american	ADJ
cana-1513	193	37	journal	journal	PROPN
cana-1513	193	38	of	of	ADP
cana-1513	193	39	engineering	engineering	NOUN
cana-1513	193	40	research	research	NOUN
cana-1513	193	41	(	(	PUNCT
cana-1513	193	42	ajer	ajer	NOUN
cana-1513	193	43	)	)	PUNCT
cana-1513	193	44	e	e	NOUN
cana-1513	193	45	-	-	PUNCT
cana-1513	193	46	issn	issn	NOUN
cana-1513	193	47	:	:	PUNCT
cana-1513	193	48	23200847	23200847	NUM
cana-1513	193	49	p	p	X
cana-1513	193	50	-	-	PUNCT
cana-1513	193	51	issn	issn	NOUN
cana-1513	193	52	:	:	PUNCT
cana-1513	193	53	2320	2320	NUM
cana-1513	193	54	-	-	SYM
cana-1513	193	55	0936	0936	NUM
cana-1513	193	56	volume-03	volume-03	PROPN
cana-1513	193	57	,	,	PUNCT
cana-1513	193	58	issue-12	issue-12	NOUN
cana-1513	193	59	,	,	PUNCT
cana-1513	193	60	pp-15	pp-15	NOUN
cana-1513	193	61	-	-	SYM
cana-1513	193	62	22	22	NUM
cana-1513	193	63	www.ajer.org	www.ajer.org	NOUN
cana-1513	193	64	.	.	PUNCT
cana-1513	194	1	[	[	X
cana-1513	194	2	18	18	NUM
cana-1513	194	3	]	]	X
cana-1513	194	4	farhad	farhad	PROPN
cana-1513	194	5	ali	ali	PROPN
cana-1513	194	6	,	,	PUNCT
cana-1513	194	7	ilyas	ilyas	PROPN
cana-1513	194	8	khan	khan	PROPN
cana-1513	194	9	,	,	PUNCT
cana-1513	194	10	sharidan	sharidan	PROPN
cana-1513	194	11	shafie	shafie	NOUN
cana-1513	194	12	,	,	PUNCT
cana-1513	194	13	and	and	CCONJ
cana-1513	194	14	norzieha	norzieha	ADJ
cana-1513	194	15	musthapa	musthapa	ADJ
cana-1513	194	16	(	(	PUNCT
cana-1513	194	17	2013	2013	NUM
cana-1513	194	18	)	)	PUNCT
cana-1513	194	19	,	,	PUNCT
cana-1513	194	20	“	"	PUNCT
cana-1513	194	21	heat	heat	NOUN
cana-1513	194	22	and	and	CCONJ
cana-1513	194	23	mass	mass	NOUN
cana-1513	194	24	transfer	transfer	NOUN
cana-1513	194	25	with	with	ADP
cana-1513	194	26	free	free	ADJ
cana-1513	194	27	convection	convection	NOUN
cana-1513	194	28	mhd	mhd	NOUN
cana-1513	194	29	flow	flow	NOUN
cana-1513	194	30	past	past	ADP
cana-1513	194	31	a	a	DET
cana-1513	194	32	vertical	vertical	ADJ
cana-1513	194	33	plate	plate	NOUN
cana-1513	194	34	embedded	embed	VERB
cana-1513	194	35	in	in	ADP
cana-1513	194	36	a	a	DET
cana-1513	194	37	porous	porous	ADJ
cana-1513	194	38	medium	medium	NOUN
cana-1513	194	39	,	,	PUNCT
cana-1513	194	40	”	"	PUNCT
cana-1513	194	41	hindawi	hindawi	ADJ
cana-1513	194	42	publishing	publishing	NOUN
cana-1513	194	43	corporation	corporation	PROPN
cana-1513	194	44	mathematical	mathematical	ADJ
cana-1513	194	45	problems	problem	NOUN
cana-1513	194	46	in	in	ADP
cana-1513	194	47	engineering	engineering	NOUN
cana-1513	194	48	volume	volume	NOUN
cana-1513	194	49	,	,	PUNCT
cana-1513	194	50	article	article	NOUN
cana-1513	194	51	i	i	PROPN
cana-1513	194	52	d	d	PROPN
cana-1513	194	53	346281,13pageshttp://dx.doi.org/10.1155/2013/346281	346281,13pageshttp://dx.doi.org/10.1155/2013/346281	NUM
cana-1513	194	54	.	.	PUNCT
cana-1513	194	55	communications	communication	NOUN
cana-1513	194	56	on	on	ADP
cana-1513	194	57	applied	apply	VERB
cana-1513	194	58	nonlinear	nonlinear	ADJ
cana-1513	194	59	analysis	analysis	NOUN
cana-1513	194	60	issn	issn	NOUN
cana-1513	194	61	:	:	PUNCT
cana-1513	194	62	1074	1074	NUM
cana-1513	194	63	-	-	PUNCT
cana-1513	194	64	133x	133x	NUM
cana-1513	194	65	vol	vol	NOUN
cana-1513	194	66	31	31	NUM
cana-1513	194	67	no	no	NOUN
cana-1513	194	68	.	.	PUNCT
cana-1513	195	1	8s	8s	PROPN
cana-1513	195	2	(	(	PUNCT
cana-1513	195	3	2024	2024	NUM
cana-1513	195	4	)	)	PUNCT
cana-1513	195	5	375	375	NUM
cana-1513	195	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1513	196	1	[	[	X
cana-1513	196	2	19	19	NUM
cana-1513	196	3	]	]	SYM
cana-1513	196	4	misra	misra	ADJ
cana-1513	196	5	.	.	PUNCT
cana-1513	197	1	j.c	j.c	PROPN
cana-1513	197	2	.	.	PROPN
cana-1513	197	3	and	and	CCONJ
cana-1513	197	4	shit	shit	PROPN
cana-1513	197	5	.	.	PUNCT
cana-1513	198	1	g.c	g.c	PROPN
cana-1513	198	2	.	.	PROPN
cana-1513	198	3	2009	2009	NUM
cana-1513	198	4	.	.	PUNCT
cana-1513	199	1	biomagnetic	biomagnetic	ADJ
cana-1513	199	2	viscoelastic	viscoelastic	ADJ
cana-1513	199	3	fluid	fluid	NOUN
cana-1513	199	4	flow	flow	NOUN
cana-1513	199	5	over	over	ADP
cana-1513	199	6	a	a	DET
cana-1513	199	7	stretching	stretch	VERB
cana-1513	199	8	sheet	sheet	NOUN
cana-1513	199	9	.	.	PUNCT
cana-1513	200	1	applied	apply	VERB
cana-1513	200	2	mathematics	mathematic	NOUN
cana-1513	200	3	and	and	CCONJ
cana-1513	200	4	computation	computation	NOUN
cana-1513	200	5	,	,	PUNCT
cana-1513	200	6	210	210	NUM
cana-1513	200	7	,	,	PUNCT
cana-1513	200	8	2	2	NUM
cana-1513	200	9	:	:	SYM
cana-1513	200	10	350	350	NUM
cana-1513	200	11	-	-	SYM
cana-1513	200	12	361	361	NUM
cana-1513	200	13	.	.	PUNCT
cana-1513	201	1	[	[	X
cana-1513	201	2	20	20	NUM
cana-1513	201	3	]	]	PUNCT
cana-1513	201	4	das	das	PROPN
cana-1513	201	5	.	.	PUNCT
cana-1513	202	1	k	k	PROPN
cana-1513	202	2	and	and	CCONJ
cana-1513	202	3	das	das	PROPN
cana-1513	202	4	.	.	PUNCT
cana-1513	203	1	r.	r.	PROPN
cana-1513	203	2	2009	2009	NUM
cana-1513	203	3	.	.	PUNCT
cana-1513	204	1	mhd	mhd	PROPN
cana-1513	204	2	free	free	ADJ
cana-1513	204	3	convection	convection	NOUN
cana-1513	204	4	flow	flow	NOUN
cana-1513	204	5	near	near	ADP
cana-1513	204	6	a	a	DET
cana-1513	204	7	moving	move	VERB
cana-1513	204	8	vertical	vertical	ADJ
cana-1513	204	9	plate	plate	NOUN
cana-1513	204	10	in	in	ADP
cana-1513	204	11	the	the	DET
cana-1513	204	12	presence	presence	NOUN
cana-1513	204	13	of	of	ADP
cana-1513	204	14	thermal	thermal	ADJ
cana-1513	204	15	radiation	radiation	NOUN
cana-1513	204	16	:	:	PUNCT
cana-1513	204	17	an	an	DET
cana-1513	204	18	analytical	analytical	ADJ
cana-1513	204	19	solution	solution	NOUN
cana-1513	204	20	.	.	PUNCT
cana-1513	205	1	moldavian	moldavian	ADJ
cana-1513	205	2	journal	journal	NOUN
cana-1513	205	3	of	of	ADP
cana-1513	205	4	the	the	DET
cana-1513	205	5	physical	physical	ADJ
cana-1513	205	6	sciences	science	NOUN
cana-1513	205	7	,	,	PUNCT
cana-1513	205	8	8	8	NUM
cana-1513	205	9	,	,	PUNCT
cana-1513	205	10	3	3	NUM
cana-1513	205	11	-	-	SYM
cana-1513	205	12	4	4	NUM
cana-1513	205	13	:	:	PUNCT
cana-1513	205	14	358	358	NUM
cana-1513	205	15	-	-	SYM
cana-1513	205	16	365	365	NUM
cana-1513	205	17	.	.	PUNCT