id	sid	tid	token	lemma	pos
cana-3673	1	1	mhd	mhd	VERB
cana-3673	1	2	three	three	NUM
cana-3673	1	3	dimensional	dimensional	ADJ
cana-3673	1	4	free	free	ADJ
cana-3673	1	5	convective	convective	ADJ
cana-3673	1	6	flow	flow	NOUN
cana-3673	1	7	with	with	ADP
cana-3673	1	8	heat	heat	NOUN
cana-3673	1	9	and	and	CCONJ
cana-3673	1	10	mass	mass	NOUN
cana-3673	1	11	transfer	transfer	NOUN
cana-3673	1	12	through	through	ADP
cana-3673	1	13	a	a	DET
cana-3673	1	14	porous	porous	ADJ
cana-3673	1	15	medium	medium	NOUN
cana-3673	1	16	with	with	ADP
cana-3673	1	17	p	p	NOUN
cana-3673	1	18	communications	communication	NOUN
cana-3673	1	19	on	on	ADP
cana-3673	1	20	applied	apply	VERB
cana-3673	1	21	nonlinear	nonlinear	ADJ
cana-3673	1	22	analysis	analysis	NOUN
cana-3673	1	23	issn	issn	NOUN
cana-3673	1	24	:	:	PUNCT
cana-3673	1	25	1074	1074	NUM
cana-3673	1	26	-	-	PUNCT
cana-3673	1	27	133x	133x	NUM
cana-3673	1	28	vol	vol	NOUN
cana-3673	1	29	32	32	NUM
cana-3673	1	30	no	no	NOUN
cana-3673	1	31	.	.	PUNCT
cana-3673	2	1	8s	8s	PROPN
cana-3673	2	2	(	(	PUNCT
cana-3673	2	3	2025	2025	NUM
cana-3673	2	4	)	)	PUNCT
cana-3673	3	1	310	310	NUM
cana-3673	3	2	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-3673	3	3	mhd	mhd	VERB
cana-3673	3	4	three	three	NUM
cana-3673	3	5	-	-	PUNCT
cana-3673	3	6	dimensional	dimensional	ADJ
cana-3673	3	7	porous	porous	ADJ
cana-3673	3	8	flow	flow	NOUN
cana-3673	3	9	with	with	ADP
cana-3673	3	10	heat	heat	NOUN
cana-3673	3	11	source	source	NOUN
cana-3673	3	12	and	and	CCONJ
cana-3673	3	13	chemical	chemical	NOUN
cana-3673	3	14	reaction	reaction	NOUN
cana-3673	3	15	:	:	PUNCT
cana-3673	3	16	a	a	DET
cana-3673	3	17	numerical	numerical	ADJ
cana-3673	3	18	study	study	NOUN
cana-3673	3	19	k.srihari1	k.srihari1	NOUN
cana-3673	3	20	,	,	PUNCT
cana-3673	3	21	dr	dr	PROPN
cana-3673	3	22	.	.	PROPN
cana-3673	3	23	b.	b.	PROPN
cana-3673	3	24	shashidar	shashidar	PROPN
cana-3673	3	25	reddy2	reddy2	PROPN
cana-3673	3	26	1	1	NUM
cana-3673	3	27	department	department	NOUN
cana-3673	3	28	of	of	ADP
cana-3673	3	29	mathematics	mathematic	NOUN
cana-3673	3	30	,	,	PUNCT
cana-3673	3	31	mahatma	mahatma	PROPN
cana-3673	3	32	gandhi	gandhi	PROPN
cana-3673	3	33	iinstitute	iinstitute	PROPN
cana-3673	3	34	of	of	ADP
cana-3673	3	35	technology	technology	NOUN
cana-3673	3	36	,	,	PUNCT
cana-3673	3	37	gandipet	gandipet	NOUN
cana-3673	3	38	,	,	PUNCT
cana-3673	3	39	hyderabad	hyderabad	PROPN
cana-3673	3	40	,	,	PUNCT
cana-3673	3	41	telangana	telangana	PROPN
cana-3673	3	42	state	state	PROPN
cana-3673	3	43	,	,	PUNCT
cana-3673	3	44	india	india	PROPN
cana-3673	3	45	.	.	PUNCT
cana-3673	4	1	2	2	NUM
cana-3673	4	2	department	department	NOUN
cana-3673	4	3	of	of	ADP
cana-3673	4	4	mathematics	mathematic	NOUN
cana-3673	4	5	,	,	PUNCT
cana-3673	4	6	sreenidhi	sreenidhi	PROPN
cana-3673	4	7	institute	institute	PROPN
cana-3673	4	8	of	of	ADP
cana-3673	4	9	science	science	NOUN
cana-3673	4	10	and	and	CCONJ
cana-3673	4	11	technology	technology	NOUN
cana-3673	4	12	,	,	PUNCT
cana-3673	4	13	ghatkesar	ghatkesar	PROPN
cana-3673	4	14	,	,	PUNCT
cana-3673	4	15	hyderabad	hyderabad	PROPN
cana-3673	4	16	.	.	PUNCT
cana-3673	5	1	e	e	X
cana-3673	5	2	-	-	NOUN
cana-3673	5	3	mail	mail	NOUN
cana-3673	5	4	:	:	PUNCT
cana-3673	5	5	kotagirisrihari@yahoo.com1	kotagirisrihari@yahoo.com1	NOUN
cana-3673	5	6	,	,	PUNCT
cana-3673	5	7	bsreddy_shashi@yahoo.com2	bsreddy_shashi@yahoo.com2	ADP
cana-3673	5	8	article	article	NOUN
cana-3673	5	9	history	history	NOUN
cana-3673	5	10	:	:	PUNCT
cana-3673	5	11	received	receive	VERB
cana-3673	5	12	:	:	PUNCT
cana-3673	5	13	27	27	NUM
cana-3673	5	14	-	-	SYM
cana-3673	5	15	10	10	NUM
cana-3673	5	16	-	-	PUNCT
cana-3673	5	17	2024	2024	NUM
cana-3673	5	18	revised:26	revised:26	ADJ
cana-3673	5	19	-	-	SYM
cana-3673	5	20	11	11	NUM
cana-3673	5	21	-	-	PUNCT
cana-3673	5	22	2024	2024	NUM
cana-3673	5	23	accepted:28	accepted:28	NUM
cana-3673	5	24	-	-	PUNCT
cana-3673	5	25	12	12	NUM
cana-3673	5	26	-	-	PUNCT
cana-3673	5	27	2024	2024	NUM
cana-3673	5	28	abstract	abstract	NOUN
cana-3673	5	29	:	:	PUNCT
cana-3673	5	30	in	in	ADP
cana-3673	5	31	prior	prior	ADJ
cana-3673	5	32	research	research	NOUN
cana-3673	5	33	on	on	ADP
cana-3673	5	34	three	three	NUM
cana-3673	5	35	-	-	PUNCT
cana-3673	5	36	dimensional	dimensional	ADJ
cana-3673	5	37	flow	flow	NOUN
cana-3673	5	38	problems	problem	NOUN
cana-3673	5	39	has	have	AUX
cana-3673	5	40	predominantly	predominantly	ADV
cana-3673	5	41	focused	focus	VERB
cana-3673	5	42	on	on	ADP
cana-3673	5	43	deriving	derive	VERB
cana-3673	5	44	analytical	analytical	ADJ
cana-3673	5	45	solutions	solution	NOUN
cana-3673	5	46	.	.	PUNCT
cana-3673	6	1	however	however	ADV
cana-3673	6	2	,	,	PUNCT
cana-3673	6	3	numerical	numerical	ADJ
cana-3673	6	4	studies	study	NOUN
cana-3673	6	5	addressing	address	VERB
cana-3673	6	6	such	such	ADJ
cana-3673	6	7	three	three	NUM
cana-3673	6	8	dimensional	dimensional	ADJ
cana-3673	6	9	flow	flow	NOUN
cana-3673	6	10	problems	problem	NOUN
cana-3673	6	11	are	be	AUX
cana-3673	6	12	still	still	ADV
cana-3673	6	13	relatively	relatively	ADV
cana-3673	6	14	limited	limited	ADJ
cana-3673	6	15	.	.	PUNCT
cana-3673	7	1	so	so	ADV
cana-3673	7	2	,	,	PUNCT
cana-3673	7	3	in	in	ADP
cana-3673	7	4	the	the	DET
cana-3673	7	5	present	present	ADJ
cana-3673	7	6	paper	paper	NOUN
cana-3673	7	7	numerical	numerical	ADJ
cana-3673	7	8	attempt	attempt	NOUN
cana-3673	7	9	is	be	AUX
cana-3673	7	10	made	make	VERB
cana-3673	7	11	to	to	PART
cana-3673	7	12	study	study	VERB
cana-3673	7	13	the	the	DET
cana-3673	7	14	impact	impact	NOUN
cana-3673	7	15	of	of	ADP
cana-3673	7	16	a	a	DET
cana-3673	7	17	heat	heat	NOUN
cana-3673	7	18	source	source	NOUN
cana-3673	7	19	and	and	CCONJ
cana-3673	7	20	chemical	chemical	NOUN
cana-3673	7	21	reaction	reaction	NOUN
cana-3673	7	22	on	on	ADP
cana-3673	7	23	the	the	DET
cana-3673	7	24	free	free	ADJ
cana-3673	7	25	convection	convection	NOUN
cana-3673	7	26	flow	flow	NOUN
cana-3673	7	27	of	of	ADP
cana-3673	7	28	a	a	DET
cana-3673	7	29	viscous	viscous	ADJ
cana-3673	7	30	,	,	PUNCT
cana-3673	7	31	incompressible	incompressible	ADJ
cana-3673	7	32	fluid	fluid	NOUN
cana-3673	7	33	within	within	ADP
cana-3673	7	34	a	a	DET
cana-3673	7	35	porous	porous	ADJ
cana-3673	7	36	medium	medium	NOUN
cana-3673	7	37	,	,	PUNCT
cana-3673	7	38	confined	confine	VERB
cana-3673	7	39	by	by	ADP
cana-3673	7	40	an	an	DET
cana-3673	7	41	infinite	infinite	ADJ
cana-3673	7	42	vertical	vertical	ADJ
cana-3673	7	43	porous	porous	ADJ
cana-3673	7	44	plate	plate	NOUN
cana-3673	7	45	subject	subject	ADJ
cana-3673	7	46	to	to	ADP
cana-3673	7	47	constant	constant	ADJ
cana-3673	7	48	suction	suction	NOUN
cana-3673	7	49	and	and	CCONJ
cana-3673	7	50	periodic	periodic	ADJ
cana-3673	7	51	permeability	permeability	NOUN
cana-3673	7	52	.	.	PUNCT
cana-3673	8	1	a	a	DET
cana-3673	8	2	magnetic	magnetic	ADJ
cana-3673	8	3	field	field	NOUN
cana-3673	8	4	is	be	AUX
cana-3673	8	5	applied	apply	VERB
cana-3673	8	6	perpendicular	perpendicular	ADJ
cana-3673	8	7	to	to	ADP
cana-3673	8	8	the	the	DET
cana-3673	8	9	flow	flow	NOUN
cana-3673	8	10	.	.	PUNCT
cana-3673	9	1	to	to	PART
cana-3673	9	2	solve	solve	VERB
cana-3673	9	3	this	this	DET
cana-3673	9	4	problem	problem	NOUN
cana-3673	9	5	,	,	PUNCT
cana-3673	9	6	the	the	DET
cana-3673	9	7	governing	govern	VERB
cana-3673	9	8	non	non	ADJ
cana-3673	9	9	-	-	ADJ
cana-3673	9	10	linear	linear	ADJ
cana-3673	9	11	equations	equation	NOUN
cana-3673	9	12	with	with	ADP
cana-3673	9	13	boundary	boundary	ADJ
cana-3673	9	14	conditions	condition	NOUN
cana-3673	9	15	are	be	AUX
cana-3673	9	16	first	first	ADV
cana-3673	9	17	transformed	transform	VERB
cana-3673	9	18	into	into	ADP
cana-3673	9	19	ordinary	ordinary	ADJ
cana-3673	9	20	and	and	CCONJ
cana-3673	9	21	partial	partial	ADJ
cana-3673	9	22	differential	differential	ADJ
cana-3673	9	23	equations	equation	NOUN
cana-3673	9	24	of	of	ADP
cana-3673	9	25	zeroth	zeroth	PROPN
cana-3673	9	26	and	and	CCONJ
cana-3673	9	27	first	first	ADJ
cana-3673	9	28	order	order	NOUN
cana-3673	9	29	,	,	PUNCT
cana-3673	9	30	respectively	respectively	ADV
cana-3673	9	31	,	,	PUNCT
cana-3673	9	32	using	use	VERB
cana-3673	9	33	the	the	DET
cana-3673	9	34	perturbation	perturbation	NOUN
cana-3673	9	35	method	method	NOUN
cana-3673	9	36	.	.	PUNCT
cana-3673	10	1	subsequently	subsequently	ADV
cana-3673	10	2	,	,	PUNCT
cana-3673	10	3	the	the	DET
cana-3673	10	4	partial	partial	ADJ
cana-3673	10	5	differential	differential	NOUN
cana-3673	10	6	equations	equation	NOUN
cana-3673	10	7	,	,	PUNCT
cana-3673	10	8	which	which	PRON
cana-3673	10	9	describe	describe	VERB
cana-3673	10	10	three	three	NUM
cana-3673	10	11	dimensional	dimensional	ADJ
cana-3673	10	12	flow	flow	NOUN
cana-3673	10	13	,	,	PUNCT
cana-3673	10	14	are	be	AUX
cana-3673	10	15	reduced	reduce	VERB
cana-3673	10	16	to	to	ADP
cana-3673	10	17	coupled	couple	VERB
cana-3673	10	18	non	non	ADJ
cana-3673	10	19	-	-	ADJ
cana-3673	10	20	linear	linear	ADJ
cana-3673	10	21	differential	differential	ADJ
cana-3673	10	22	equations	equation	NOUN
cana-3673	10	23	using	use	VERB
cana-3673	10	24	appropriate	appropriate	ADJ
cana-3673	10	25	substitutions	substitution	NOUN
cana-3673	10	26	.	.	PUNCT
cana-3673	11	1	these	these	DET
cana-3673	11	2	resulting	result	VERB
cana-3673	11	3	coupled	couple	VERB
cana-3673	11	4	non	non	ADJ
cana-3673	11	5	-	-	ADJ
cana-3673	11	6	linear	linear	ADJ
cana-3673	11	7	equations	equation	NOUN
cana-3673	11	8	are	be	AUX
cana-3673	11	9	then	then	ADV
cana-3673	11	10	approximated	approximate	VERB
cana-3673	11	11	into	into	ADP
cana-3673	11	12	a	a	DET
cana-3673	11	13	system	system	NOUN
cana-3673	11	14	of	of	ADP
cana-3673	11	15	equations	equation	NOUN
cana-3673	11	16	via	via	ADP
cana-3673	11	17	finite	finite	ADJ
cana-3673	11	18	difference	difference	NOUN
cana-3673	11	19	methods	method	NOUN
cana-3673	11	20	.	.	PUNCT
cana-3673	12	1	the	the	DET
cana-3673	12	2	findings	finding	NOUN
cana-3673	12	3	for	for	ADP
cana-3673	12	4	the	the	DET
cana-3673	12	5	velocity	velocity	NOUN
cana-3673	12	6	and	and	CCONJ
cana-3673	12	7	temperature	temperature	NOUN
cana-3673	12	8	profiles	profile	NOUN
cana-3673	12	9	are	be	AUX
cana-3673	12	10	presented	present	VERB
cana-3673	12	11	and	and	CCONJ
cana-3673	12	12	analyzed	analyze	VERB
cana-3673	12	13	graphically	graphically	ADV
cana-3673	12	14	.	.	PUNCT
cana-3673	13	1	it	it	PRON
cana-3673	13	2	is	be	AUX
cana-3673	13	3	found	find	VERB
cana-3673	13	4	that	that	SCONJ
cana-3673	13	5	both	both	CCONJ
cana-3673	13	6	velocity	velocity	NOUN
cana-3673	13	7	and	and	CCONJ
cana-3673	13	8	temperature	temperature	NOUN
cana-3673	13	9	increase	increase	NOUN
cana-3673	13	10	with	with	ADP
cana-3673	13	11	the	the	DET
cana-3673	13	12	introduction	introduction	NOUN
cana-3673	13	13	of	of	ADP
cana-3673	13	14	the	the	DET
cana-3673	13	15	heat	heat	NOUN
cana-3673	13	16	source	source	NOUN
cana-3673	13	17	parameter	parameter	NOUN
cana-3673	13	18	.	.	PUNCT
cana-3673	14	1	keywords	keyword	NOUN
cana-3673	14	2	:	:	PUNCT
cana-3673	14	3	heat	heat	NOUN
cana-3673	14	4	source	source	NOUN
cana-3673	14	5	,	,	PUNCT
cana-3673	14	6	magnetic	magnetic	ADJ
cana-3673	14	7	field	field	NOUN
cana-3673	14	8	;	;	PUNCT
cana-3673	14	9	porous	porous	ADJ
cana-3673	14	10	medium	medium	NOUN
cana-3673	14	11	;	;	PUNCT
cana-3673	14	12	periodic	periodic	ADJ
cana-3673	14	13	permeability	permeability	NOUN
cana-3673	14	14	;	;	PUNCT
cana-3673	14	15	finite	finite	VERB
cana-3673	14	16	deference	deference	NOUN
cana-3673	14	17	scheme	scheme	NOUN
cana-3673	14	18	.	.	PUNCT
cana-3673	15	1	introduction	introduction	NOUN
cana-3673	15	2	:	:	PUNCT
cana-3673	15	3	the	the	DET
cana-3673	15	4	combined	combined	ADJ
cana-3673	15	5	heat	heat	NOUN
cana-3673	15	6	and	and	CCONJ
cana-3673	15	7	mass	mass	NOUN
cana-3673	15	8	transfer	transfer	NOUN
cana-3673	15	9	process	process	NOUN
cana-3673	15	10	in	in	ADP
cana-3673	15	11	porous	porous	ADJ
cana-3673	15	12	media	medium	NOUN
cana-3673	15	13	is	be	AUX
cana-3673	15	14	attracting	attract	VERB
cana-3673	15	15	increasing	increase	VERB
cana-3673	15	16	interest	interest	NOUN
cana-3673	15	17	due	due	ADP
cana-3673	15	18	to	to	ADP
cana-3673	15	19	its	its	PRON
cana-3673	15	20	significant	significant	ADJ
cana-3673	15	21	practical	practical	ADJ
cana-3673	15	22	applications	application	NOUN
cana-3673	15	23	.	.	PUNCT
cana-3673	16	1	these	these	DET
cana-3673	16	2	processes	process	NOUN
cana-3673	16	3	are	be	AUX
cana-3673	16	4	commonly	commonly	ADV
cana-3673	16	5	encountered	encounter	VERB
cana-3673	16	6	in	in	ADP
cana-3673	16	7	industries	industry	NOUN
cana-3673	16	8	such	such	ADJ
cana-3673	16	9	as	as	ADP
cana-3673	16	10	chemicals	chemical	NOUN
cana-3673	16	11	,	,	PUNCT
cana-3673	16	12	reservoir	reservoir	NOUN
cana-3673	16	13	engineering	engineering	NOUN
cana-3673	16	14	related	relate	VERB
cana-3673	16	15	to	to	ADP
cana-3673	16	16	chemical	chemical	NOUN
cana-3673	16	17	recovery	recovery	NOUN
cana-3673	16	18	,	,	PUNCT
cana-3673	16	19	and	and	CCONJ
cana-3673	16	20	the	the	DET
cana-3673	16	21	study	study	NOUN
cana-3673	16	22	of	of	ADP
cana-3673	16	23	hot	hot	ADJ
cana-3673	16	24	and	and	CCONJ
cana-3673	16	25	saline	saline	ADJ
cana-3673	16	26	springs	spring	NOUN
cana-3673	16	27	in	in	ADP
cana-3673	16	28	the	the	DET
cana-3673	16	29	sea	sea	NOUN
cana-3673	16	30	.	.	PUNCT
cana-3673	17	1	additional	additional	ADJ
cana-3673	17	2	applications	application	NOUN
cana-3673	17	3	include	include	VERB
cana-3673	17	4	the	the	DET
cana-3673	17	5	underground	underground	ADJ
cana-3673	17	6	spread	spread	NOUN
cana-3673	17	7	of	of	ADP
cana-3673	17	8	chemicals	chemical	NOUN
cana-3673	17	9	and	and	CCONJ
cana-3673	17	10	pollutants	pollutant	NOUN
cana-3673	17	11	,	,	PUNCT
cana-3673	17	12	grain	grain	NOUN
cana-3673	17	13	storage	storage	NOUN
cana-3673	17	14	,	,	PUNCT
cana-3673	17	15	and	and	CCONJ
cana-3673	17	16	evaporative	evaporative	ADJ
cana-3673	17	17	cooling	cooling	NOUN
cana-3673	17	18	.	.	PUNCT
cana-3673	18	1	in	in	ADP
cana-3673	18	2	recent	recent	ADJ
cana-3673	18	3	years	year	NOUN
cana-3673	18	4	,	,	PUNCT
cana-3673	18	5	the	the	DET
cana-3673	18	6	issue	issue	NOUN
cana-3673	18	7	of	of	ADP
cana-3673	18	8	free	free	ADJ
cana-3673	18	9	convection	convection	NOUN
cana-3673	18	10	flow	flow	NOUN
cana-3673	18	11	through	through	ADP
cana-3673	18	12	porous	porous	ADJ
cana-3673	18	13	media	medium	NOUN
cana-3673	18	14	has	have	AUX
cana-3673	18	15	garnered	garner	VERB
cana-3673	18	16	considerable	considerable	ADJ
cana-3673	18	17	attention	attention	NOUN
cana-3673	18	18	from	from	ADP
cana-3673	18	19	researchers	researcher	NOUN
cana-3673	18	20	.	.	PUNCT
cana-3673	19	1	given	give	VERB
cana-3673	19	2	these	these	DET
cana-3673	19	3	applications	application	NOUN
cana-3673	19	4	,	,	PUNCT
cana-3673	19	5	a	a	DET
cana-3673	19	6	number	number	NOUN
cana-3673	19	7	of	of	ADP
cana-3673	19	8	studies	study	NOUN
cana-3673	19	9	have	have	AUX
cana-3673	19	10	been	be	AUX
cana-3673	19	11	conducted	conduct	VERB
cana-3673	19	12	by	by	ADP
cana-3673	19	13	raptis	raptis	PROPN
cana-3673	19	14	et	et	PROPN
cana-3673	19	15	al	al	PROPN
cana-3673	19	16	.	.	PUNCT
cana-3673	20	1	[	[	X
cana-3673	20	2	1	1	NUM
cana-3673	20	3	-	-	SYM
cana-3673	20	4	3	3	NUM
cana-3673	20	5	]	]	PUNCT
cana-3673	20	6	on	on	ADP
cana-3673	20	7	steady	steady	ADJ
cana-3673	20	8	flow	flow	NOUN
cana-3673	20	9	past	past	ADP
cana-3673	20	10	a	a	DET
cana-3673	20	11	vertical	vertical	ADJ
cana-3673	20	12	surface	surface	NOUN
cana-3673	20	13	.	.	PUNCT
cana-3673	21	1	raptis	raptis	NOUN
cana-3673	22	1	[	[	X
cana-3673	22	2	4	4	X
cana-3673	22	3	]	]	PUNCT
cana-3673	22	4	examined	examine	VERB
cana-3673	22	5	the	the	DET
cana-3673	22	6	unsteady	unsteady	ADJ
cana-3673	22	7	flow	flow	NOUN
cana-3673	22	8	through	through	ADP
cana-3673	22	9	a	a	DET
cana-3673	22	10	porous	porous	ADJ
cana-3673	22	11	medium	medium	NOUN
cana-3673	22	12	bounded	bound	VERB
cana-3673	22	13	by	by	ADP
cana-3673	22	14	an	an	DET
cana-3673	22	15	infinite	infinite	ADJ
cana-3673	22	16	porous	porous	ADJ
cana-3673	22	17	plate	plate	NOUN
cana-3673	22	18	under	under	ADP
cana-3673	22	19	constant	constant	ADJ
cana-3673	22	20	suction	suction	NOUN
cana-3673	22	21	and	and	CCONJ
cana-3673	22	22	variable	variable	ADJ
cana-3673	22	23	temperature	temperature	NOUN
cana-3673	22	24	.	.	PUNCT
cana-3673	23	1	raptis	raptis	NOUN
cana-3673	23	2	and	and	CCONJ
cana-3673	23	3	perdikis	perdiki	NOUN
cana-3673	23	4	[	[	X
cana-3673	23	5	5	5	NUM
cana-3673	23	6	]	]	PUNCT
cana-3673	23	7	further	far	ADV
cana-3673	23	8	explored	explore	VERB
cana-3673	23	9	the	the	DET
cana-3673	23	10	issue	issue	NOUN
cana-3673	23	11	of	of	ADP
cana-3673	23	12	free	free	ADJ
cana-3673	23	13	convective	convective	ADJ
cana-3673	23	14	flow	flow	NOUN
cana-3673	23	15	through	through	ADP
cana-3673	23	16	a	a	DET
cana-3673	23	17	porous	porous	ADJ
cana-3673	23	18	medium	medium	NOUN
cana-3673	23	19	bounded	bound	VERB
cana-3673	23	20	by	by	ADP
cana-3673	23	21	a	a	DET
cana-3673	23	22	vertical	vertical	ADJ
cana-3673	23	23	porous	porous	ADJ
cana-3673	23	24	plate	plate	NOUN
cana-3673	23	25	with	with	ADP
cana-3673	23	26	constant	constant	ADJ
cana-3673	23	27	suction	suction	NOUN
cana-3673	23	28	,	,	PUNCT
cana-3673	23	29	where	where	SCONJ
cana-3673	23	30	the	the	DET
cana-3673	23	31	free	free	ADJ
cana-3673	23	32	stream	stream	NOUN
cana-3673	23	33	velocity	velocity	NOUN
cana-3673	23	34	oscillates	oscillate	NOUN
cana-3673	23	35	around	around	ADP
cana-3673	23	36	a	a	DET
cana-3673	23	37	constant	constant	ADJ
cana-3673	23	38	mean	mean	NOUN
cana-3673	23	39	value	value	NOUN
cana-3673	23	40	.	.	PUNCT
cana-3673	24	1	in	in	ADP
cana-3673	24	2	all	all	DET
cana-3673	24	3	the	the	DET
cana-3673	24	4	aforementioned	aforementioned	ADJ
cana-3673	24	5	studies	study	NOUN
cana-3673	24	6	,	,	PUNCT
cana-3673	24	7	the	the	DET
cana-3673	24	8	permeability	permeability	NOUN
cana-3673	24	9	of	of	ADP
cana-3673	24	10	the	the	DET
cana-3673	24	11	porous	porous	ADJ
cana-3673	24	12	medium	medium	NOUN
cana-3673	24	13	has	have	AUX
cana-3673	24	14	been	be	AUX
cana-3673	24	15	assumed	assume	VERB
cana-3673	24	16	to	to	PART
cana-3673	24	17	be	be	AUX
cana-3673	24	18	constant	constant	ADJ
cana-3673	24	19	.	.	PUNCT
cana-3673	25	1	however	however	ADV
cana-3673	25	2	,	,	PUNCT
cana-3673	25	3	a	a	DET
cana-3673	25	4	porous	porous	ADJ
cana-3673	25	5	material	material	NOUN
cana-3673	25	6	containing	contain	VERB
cana-3673	25	7	fluid	fluid	NOUN
cana-3673	25	8	is	be	AUX
cana-3673	25	9	inherently	inherently	ADV
cana-3673	25	10	non	non	ADJ
cana-3673	25	11	-	-	ADJ
cana-3673	25	12	homogeneous	homogeneous	ADJ
cana-3673	25	13	,	,	PUNCT
cana-3673	25	14	and	and	CCONJ
cana-3673	25	15	various	various	ADJ
cana-3673	25	16	in	in	ADP
cana-3673	25	17	homogeneities	homogeneity	NOUN
cana-3673	25	18	may	may	AUX
cana-3673	25	19	exist	exist	VERB
cana-3673	25	20	within	within	ADP
cana-3673	25	21	the	the	DET
cana-3673	25	22	medium	medium	NOUN
cana-3673	25	23	.	.	PUNCT
cana-3673	26	1	as	as	ADP
cana-3673	26	2	a	a	DET
cana-3673	26	3	result	result	NOUN
cana-3673	26	4	,	,	PUNCT
cana-3673	26	5	the	the	DET
cana-3673	26	6	permeability	permeability	NOUN
cana-3673	26	7	of	of	ADP
cana-3673	26	8	the	the	DET
cana-3673	26	9	porous	porous	ADJ
cana-3673	26	10	medium	medium	NOUN
cana-3673	26	11	may	may	AUX
cana-3673	26	12	communications	communication	NOUN
cana-3673	26	13	on	on	ADP
cana-3673	26	14	applied	apply	VERB
cana-3673	26	15	nonlinear	nonlinear	ADJ
cana-3673	26	16	analysis	analysis	NOUN
cana-3673	26	17	issn	issn	NOUN
cana-3673	26	18	:	:	PUNCT
cana-3673	26	19	1074	1074	NUM
cana-3673	26	20	-	-	PUNCT
cana-3673	26	21	133x	133x	NUM
cana-3673	26	22	vol	vol	NOUN
cana-3673	26	23	32	32	NUM
cana-3673	26	24	no	no	NOUN
cana-3673	26	25	.	.	PUNCT
cana-3673	27	1	8s	8s	PROPN
cana-3673	27	2	(	(	PUNCT
cana-3673	27	3	2025	2025	NUM
cana-3673	27	4	)	)	PUNCT
cana-3673	27	5	311	311	NUM
cana-3673	27	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	27	7	not	not	PART
cana-3673	27	8	always	always	ADV
cana-3673	27	9	remain	remain	VERB
cana-3673	27	10	constant	constant	ADJ
cana-3673	27	11	.	.	PUNCT
cana-3673	28	1	sing	sing	NOUN
cana-3673	28	2	and	and	CCONJ
cana-3673	28	3	suresh	suresh	PROPN
cana-3673	28	4	kumar	kumar	PROPN
cana-3673	29	1	[	[	X
cana-3673	29	2	6	6	NUM
cana-3673	29	3	]	]	PUNCT
cana-3673	29	4	investigated	investigate	VERB
cana-3673	29	5	free	free	ADJ
cana-3673	29	6	convective	convective	NOUN
cana-3673	29	7	,	,	PUNCT
cana-3673	29	8	twodimensional	twodimensional	ADJ
cana-3673	29	9	,	,	PUNCT
cana-3673	29	10	unsteady	unsteady	ADJ
cana-3673	29	11	flow	flow	NOUN
cana-3673	29	12	through	through	ADP
cana-3673	29	13	a	a	DET
cana-3673	29	14	highly	highly	ADV
cana-3673	29	15	porous	porous	ADJ
cana-3673	29	16	medium	medium	NOUN
cana-3673	29	17	bounded	bound	VERB
cana-3673	29	18	by	by	ADP
cana-3673	29	19	an	an	DET
cana-3673	29	20	infinite	infinite	ADJ
cana-3673	29	21	vertical	vertical	ADJ
cana-3673	29	22	porous	porous	ADJ
cana-3673	29	23	plate	plate	NOUN
cana-3673	29	24	,	,	PUNCT
cana-3673	29	25	where	where	SCONJ
cana-3673	29	26	the	the	DET
cana-3673	29	27	permeability	permeability	NOUN
cana-3673	29	28	of	of	ADP
cana-3673	29	29	the	the	DET
cana-3673	29	30	medium	medium	ADJ
cana-3673	29	31	fluctuates	fluctuate	NOUN
cana-3673	29	32	over	over	ADP
cana-3673	29	33	time	time	NOUN
cana-3673	29	34	around	around	ADP
cana-3673	29	35	a	a	DET
cana-3673	29	36	constant	constant	ADJ
cana-3673	29	37	average	average	ADJ
cana-3673	29	38	value	value	NOUN
cana-3673	29	39	most	most	ADJ
cana-3673	29	40	researchers	researcher	NOUN
cana-3673	29	41	have	have	AUX
cana-3673	29	42	focused	focus	VERB
cana-3673	29	43	primarily	primarily	ADV
cana-3673	29	44	on	on	ADP
cana-3673	29	45	two	two	NUM
cana-3673	29	46	-	-	PUNCT
cana-3673	29	47	dimensional	dimensional	ADJ
cana-3673	29	48	flows	flow	NOUN
cana-3673	29	49	,	,	PUNCT
cana-3673	29	50	assuming	assume	VERB
cana-3673	29	51	either	either	CCONJ
cana-3673	29	52	constant	constant	ADJ
cana-3673	29	53	or	or	CCONJ
cana-3673	29	54	time	time	NOUN
cana-3673	29	55	-	-	PUNCT
cana-3673	29	56	dependent	dependent	ADJ
cana-3673	29	57	permeability	permeability	NOUN
cana-3673	29	58	of	of	ADP
cana-3673	29	59	the	the	DET
cana-3673	29	60	porous	porous	ADJ
cana-3673	29	61	medium	medium	NOUN
cana-3673	29	62	.	.	PUNCT
cana-3673	30	1	however	however	ADV
cana-3673	30	2	,	,	PUNCT
cana-3673	30	3	there	there	PRON
cana-3673	30	4	are	be	VERB
cana-3673	30	5	situations	situation	NOUN
cana-3673	30	6	where	where	SCONJ
cana-3673	30	7	the	the	DET
cana-3673	30	8	flow	flow	NOUN
cana-3673	30	9	may	may	AUX
cana-3673	30	10	be	be	AUX
cana-3673	30	11	fundamentally	fundamentally	ADV
cana-3673	30	12	three	three	NUM
cana-3673	30	13	-	-	PUNCT
cana-3673	30	14	dimensional	dimensional	ADJ
cana-3673	30	15	,	,	PUNCT
cana-3673	30	16	such	such	ADJ
cana-3673	30	17	as	as	ADP
cana-3673	30	18	when	when	SCONJ
cana-3673	30	19	the	the	DET
cana-3673	30	20	permeability	permeability	NOUN
cana-3673	30	21	distribution	distribution	NOUN
cana-3673	30	22	varies	vary	VERB
cana-3673	30	23	transversely	transversely	ADV
cana-3673	30	24	to	to	ADP
cana-3673	30	25	the	the	DET
cana-3673	30	26	potential	potential	ADJ
cana-3673	30	27	flow	flow	NOUN
cana-3673	30	28	.	.	PUNCT
cana-3673	31	1	the	the	DET
cana-3673	31	2	impact	impact	NOUN
cana-3673	31	3	of	of	ADP
cana-3673	31	4	such	such	DET
cana-3673	31	5	a	a	DET
cana-3673	31	6	transverse	transverse	NOUN
cana-3673	31	7	permeability	permeability	NOUN
cana-3673	31	8	distribution	distribution	NOUN
cana-3673	31	9	in	in	ADP
cana-3673	31	10	a	a	DET
cana-3673	31	11	porous	porous	ADJ
cana-3673	31	12	medium	medium	NOUN
cana-3673	31	13	bounded	bound	VERB
cana-3673	31	14	by	by	ADP
cana-3673	31	15	a	a	DET
cana-3673	31	16	horizontal	horizontal	ADJ
cana-3673	31	17	flat	flat	ADJ
cana-3673	31	18	plate	plate	NOUN
cana-3673	31	19	has	have	AUX
cana-3673	31	20	been	be	AUX
cana-3673	31	21	examined	examine	VERB
cana-3673	31	22	by	by	ADP
cana-3673	31	23	sing	sing	NOUN
cana-3673	31	24	and	and	CCONJ
cana-3673	31	25	verma	verma	PROPN
cana-3673	32	1	[	[	X
cana-3673	32	2	7	7	X
cana-3673	32	3	]	]	PUNCT
cana-3673	32	4	and	and	CCONJ
cana-3673	32	5	singh	singh	PROPN
cana-3673	32	6	et	et	PROPN
cana-3673	32	7	al	al	PROPN
cana-3673	32	8	.	.	PUNCT
cana-3673	33	1	[	[	X
cana-3673	33	2	8	8	NUM
cana-3673	33	3	]	]	PUNCT
cana-3673	33	4	.	.	PUNCT
cana-3673	34	1	singh	singh	PROPN
cana-3673	34	2	and	and	CCONJ
cana-3673	34	3	sharma	sharma	PROPN
cana-3673	34	4	[	[	X
cana-3673	34	5	9	9	NUM
cana-3673	34	6	]	]	PUNCT
cana-3673	34	7	explored	explore	VERB
cana-3673	34	8	three	three	NUM
cana-3673	34	9	-	-	PUNCT
cana-3673	34	10	dimensional	dimensional	ADJ
cana-3673	34	11	free	free	ADJ
cana-3673	34	12	convective	convective	ADJ
cana-3673	34	13	flow	flow	NOUN
cana-3673	34	14	and	and	CCONJ
cana-3673	34	15	heat	heat	NOUN
cana-3673	34	16	transfer	transfer	NOUN
cana-3673	34	17	through	through	ADP
cana-3673	34	18	a	a	DET
cana-3673	34	19	porous	porous	ADJ
cana-3673	34	20	medium	medium	NOUN
cana-3673	34	21	with	with	ADP
cana-3673	34	22	periodic	periodic	ADJ
cana-3673	34	23	permeability	permeability	NOUN
cana-3673	34	24	.	.	PUNCT
cana-3673	35	1	n.k	n.k	X
cana-3673	35	2	.	.	PROPN
cana-3673	35	3	vershney	vershney	PROPN
cana-3673	35	4	et	et	PROPN
cana-3673	35	5	al	al	PROPN
cana-3673	35	6	.	.	PUNCT
cana-3673	36	1	[	[	X
cana-3673	36	2	10	10	NUM
cana-3673	36	3	]	]	PUNCT
cana-3673	36	4	investigated	investigate	VERB
cana-3673	36	5	the	the	DET
cana-3673	36	6	mass	mass	NOUN
cana-3673	36	7	transfer	transfer	NOUN
cana-3673	36	8	effects	effect	NOUN
cana-3673	36	9	on	on	ADP
cana-3673	36	10	three	three	NUM
cana-3673	36	11	-	-	PUNCT
cana-3673	36	12	dimensional	dimensional	ADJ
cana-3673	36	13	free	free	ADJ
cana-3673	36	14	convective	convective	ADJ
cana-3673	36	15	flow	flow	NOUN
cana-3673	36	16	through	through	ADP
cana-3673	36	17	a	a	DET
cana-3673	36	18	porous	porous	ADJ
cana-3673	36	19	medium	medium	NOUN
cana-3673	36	20	with	with	ADP
cana-3673	36	21	periodic	periodic	ADJ
cana-3673	36	22	permeability	permeability	NOUN
cana-3673	36	23	.	.	PUNCT
cana-3673	37	1	additionally	additionally	ADV
cana-3673	37	2	,	,	PUNCT
cana-3673	37	3	jain	jain	PROPN
cana-3673	37	4	et	et	PROPN
cana-3673	37	5	al	al	PROPN
cana-3673	37	6	.	.	PUNCT
cana-3673	38	1	[	[	X
cana-3673	38	2	11	11	NUM
cana-3673	38	3	]	]	PUNCT
cana-3673	38	4	analyzed	analyze	VERB
cana-3673	38	5	the	the	DET
cana-3673	38	6	effects	effect	NOUN
cana-3673	38	7	of	of	ADP
cana-3673	38	8	periodic	periodic	ADJ
cana-3673	38	9	temperature	temperature	NOUN
cana-3673	38	10	and	and	CCONJ
cana-3673	38	11	periodic	periodic	ADJ
cana-3673	38	12	permeability	permeability	NOUN
cana-3673	38	13	on	on	ADP
cana-3673	38	14	three	three	NUM
cana-3673	38	15	-	-	PUNCT
cana-3673	38	16	dimensional	dimensional	ADJ
cana-3673	38	17	free	free	ADJ
cana-3673	38	18	convective	convective	ADJ
cana-3673	38	19	flow	flow	NOUN
cana-3673	38	20	through	through	ADP
cana-3673	38	21	a	a	DET
cana-3673	38	22	porous	porous	ADJ
cana-3673	38	23	medium	medium	NOUN
cana-3673	38	24	in	in	ADP
cana-3673	38	25	the	the	DET
cana-3673	38	26	slip	slip	NOUN
cana-3673	38	27	flow	flow	NOUN
cana-3673	38	28	regime	regime	NOUN
cana-3673	38	29	.	.	PUNCT
cana-3673	39	1	srihari	srihari	PROPN
cana-3673	39	2	and	and	CCONJ
cana-3673	39	3	anandrao	anandrao	ADP
cana-3673	39	4	[	[	X
cana-3673	39	5	12	12	NUM
cana-3673	39	6	]	]	PUNCT
cana-3673	39	7	studied	study	VERB
cana-3673	39	8	the	the	DET
cana-3673	39	9	influence	influence	NOUN
cana-3673	39	10	of	of	ADP
cana-3673	39	11	a	a	DET
cana-3673	39	12	magnetic	magnetic	ADJ
cana-3673	39	13	field	field	NOUN
cana-3673	39	14	on	on	ADP
cana-3673	39	15	threedimensional	threedimensional	ADJ
cana-3673	39	16	free	free	ADJ
cana-3673	39	17	convective	convective	ADJ
cana-3673	39	18	flow	flow	NOUN
cana-3673	39	19	through	through	ADP
cana-3673	39	20	a	a	DET
cana-3673	39	21	porous	porous	ADJ
cana-3673	39	22	medium	medium	NOUN
cana-3673	39	23	with	with	ADP
cana-3673	39	24	periodic	periodic	ADJ
cana-3673	39	25	permeability	permeability	NOUN
cana-3673	39	26	in	in	ADP
cana-3673	39	27	many	many	ADJ
cana-3673	39	28	of	of	ADP
cana-3673	39	29	the	the	DET
cana-3673	39	30	previous	previous	ADJ
cana-3673	39	31	studies	study	NOUN
cana-3673	39	32	,	,	PUNCT
cana-3673	39	33	the	the	DET
cana-3673	39	34	effect	effect	NOUN
cana-3673	39	35	of	of	ADP
cana-3673	39	36	a	a	DET
cana-3673	39	37	heat	heat	NOUN
cana-3673	39	38	source	source	NOUN
cana-3673	39	39	does	do	AUX
cana-3673	39	40	not	not	PART
cana-3673	39	41	appear	appear	VERB
cana-3673	39	42	to	to	PART
cana-3673	39	43	have	have	AUX
cana-3673	39	44	been	be	AUX
cana-3673	39	45	given	give	VERB
cana-3673	39	46	significant	significant	ADJ
cana-3673	39	47	attention	attention	NOUN
cana-3673	39	48	,	,	PUNCT
cana-3673	39	49	despite	despite	SCONJ
cana-3673	39	50	its	its	PRON
cana-3673	39	51	crucial	crucial	ADJ
cana-3673	39	52	role	role	NOUN
cana-3673	39	53	in	in	ADP
cana-3673	39	54	maintaining	maintain	VERB
cana-3673	39	55	heat	heat	NOUN
cana-3673	39	56	transfer	transfer	NOUN
cana-3673	39	57	at	at	ADP
cana-3673	39	58	the	the	DET
cana-3673	39	59	desired	desire	VERB
cana-3673	39	60	level	level	NOUN
cana-3673	39	61	in	in	ADP
cana-3673	39	62	applications	application	NOUN
cana-3673	39	63	such	such	ADJ
cana-3673	39	64	as	as	ADP
cana-3673	39	65	nuclear	nuclear	ADJ
cana-3673	39	66	power	power	NOUN
cana-3673	39	67	plants	plant	NOUN
cana-3673	39	68	,	,	PUNCT
cana-3673	39	69	gas	gas	NOUN
cana-3673	39	70	turbines	turbine	NOUN
cana-3673	39	71	,	,	PUNCT
cana-3673	39	72	and	and	CCONJ
cana-3673	39	73	various	various	ADJ
cana-3673	39	74	propulsion	propulsion	NOUN
cana-3673	39	75	systems	system	NOUN
cana-3673	39	76	for	for	ADP
cana-3673	39	77	aircraft	aircraft	NOUN
cana-3673	39	78	,	,	PUNCT
cana-3673	39	79	missiles	missile	NOUN
cana-3673	39	80	,	,	PUNCT
cana-3673	39	81	satellites	satellite	NOUN
cana-3673	39	82	,	,	PUNCT
cana-3673	39	83	and	and	CCONJ
cana-3673	39	84	space	space	NOUN
cana-3673	39	85	vehicles	vehicle	NOUN
cana-3673	39	86	.	.	PUNCT
cana-3673	40	1	furthermore	furthermore	ADV
cana-3673	40	2	,	,	PUNCT
cana-3673	40	3	in	in	ADP
cana-3673	40	4	all	all	DET
cana-3673	40	5	the	the	DET
cana-3673	40	6	previous	previous	ADJ
cana-3673	40	7	three	three	NUM
cana-3673	40	8	-	-	PUNCT
cana-3673	40	9	dimensional	dimensional	ADJ
cana-3673	40	10	studies	study	NOUN
cana-3673	40	11	,	,	PUNCT
cana-3673	40	12	significant	significant	ADJ
cana-3673	40	13	emphasis	emphasis	NOUN
cana-3673	40	14	was	be	AUX
cana-3673	40	15	placed	place	VERB
cana-3673	40	16	on	on	ADP
cana-3673	40	17	obtaining	obtain	VERB
cana-3673	40	18	an	an	DET
cana-3673	40	19	analytical	analytical	ADJ
cana-3673	40	20	solution	solution	NOUN
cana-3673	40	21	.	.	PUNCT
cana-3673	41	1	additionally	additionally	ADV
cana-3673	41	2	,	,	PUNCT
cana-3673	41	3	numerical	numerical	ADJ
cana-3673	41	4	investigations	investigation	NOUN
cana-3673	41	5	related	relate	VERB
cana-3673	41	6	to	to	ADP
cana-3673	41	7	such	such	ADJ
cana-3673	41	8	types	type	NOUN
cana-3673	41	9	of	of	ADP
cana-3673	41	10	three	three	NUM
cana-3673	41	11	-	-	PUNCT
cana-3673	41	12	dimensional	dimensional	ADJ
cana-3673	41	13	flow	flow	NOUN
cana-3673	41	14	problems	problem	NOUN
cana-3673	41	15	remain	remain	VERB
cana-3673	41	16	quite	quite	ADV
cana-3673	41	17	limited	limited	ADJ
cana-3673	41	18	.	.	PUNCT
cana-3673	42	1	therefore	therefore	ADV
cana-3673	42	2	,	,	PUNCT
cana-3673	42	3	in	in	ADP
cana-3673	42	4	the	the	DET
cana-3673	42	5	present	present	ADJ
cana-3673	42	6	paper	paper	NOUN
cana-3673	42	7	,	,	PUNCT
cana-3673	42	8	a	a	DET
cana-3673	42	9	numerical	numerical	ADJ
cana-3673	42	10	attempt	attempt	NOUN
cana-3673	42	11	is	be	AUX
cana-3673	42	12	made	make	VERB
cana-3673	42	13	to	to	PART
cana-3673	42	14	investigate	investigate	VERB
cana-3673	42	15	the	the	DET
cana-3673	42	16	influence	influence	NOUN
cana-3673	42	17	of	of	ADP
cana-3673	42	18	heat	heat	NOUN
cana-3673	42	19	source	source	NOUN
cana-3673	42	20	and	and	CCONJ
cana-3673	42	21	chemical	chemical	NOUN
cana-3673	42	22	reaction	reaction	NOUN
cana-3673	42	23	on	on	ADP
cana-3673	42	24	free	free	ADJ
cana-3673	42	25	convection	convection	NOUN
cana-3673	42	26	flow	flow	NOUN
cana-3673	42	27	of	of	ADP
cana-3673	42	28	a	a	DET
cana-3673	42	29	viscous	viscous	ADJ
cana-3673	42	30	,	,	PUNCT
cana-3673	42	31	incompressible	incompressible	ADJ
cana-3673	42	32	fluid	fluid	NOUN
cana-3673	42	33	through	through	ADP
cana-3673	42	34	a	a	DET
cana-3673	42	35	porous	porous	ADJ
cana-3673	42	36	medium	medium	NOUN
cana-3673	42	37	bounded	bound	VERB
cana-3673	42	38	by	by	ADP
cana-3673	42	39	an	an	DET
cana-3673	42	40	infinite	infinite	ADJ
cana-3673	42	41	vertical	vertical	ADJ
cana-3673	42	42	porous	porous	ADJ
cana-3673	42	43	plate	plate	NOUN
cana-3673	42	44	with	with	ADP
cana-3673	42	45	constant	constant	ADJ
cana-3673	42	46	suction	suction	NOUN
cana-3673	42	47	.	.	PUNCT
cana-3673	43	1	a	a	DET
cana-3673	43	2	uniform	uniform	ADJ
cana-3673	43	3	magnetic	magnetic	ADJ
cana-3673	43	4	field	field	NOUN
cana-3673	43	5	is	be	AUX
cana-3673	43	6	applied	apply	VERB
cana-3673	43	7	perpendicular	perpendicular	ADJ
cana-3673	43	8	to	to	ADP
cana-3673	43	9	the	the	DET
cana-3673	43	10	fluid	fluid	ADJ
cana-3673	43	11	flow	flow	NOUN
cana-3673	43	12	.	.	PUNCT
cana-3673	44	1	to	to	PART
cana-3673	44	2	derive	derive	VERB
cana-3673	44	3	an	an	DET
cana-3673	44	4	approximate	approximate	ADJ
cana-3673	44	5	solution	solution	NOUN
cana-3673	44	6	and	and	CCONJ
cana-3673	44	7	better	well	ADV
cana-3673	44	8	understand	understand	VERB
cana-3673	44	9	the	the	DET
cana-3673	44	10	physics	physics	NOUN
cana-3673	44	11	of	of	ADP
cana-3673	44	12	the	the	DET
cana-3673	44	13	problem	problem	NOUN
cana-3673	44	14	,	,	PUNCT
cana-3673	44	15	the	the	DET
cana-3673	44	16	non	non	ADJ
cana-3673	44	17	-	-	ADJ
cana-3673	44	18	linear	linear	ADJ
cana-3673	44	19	boundary	boundary	ADJ
cana-3673	44	20	value	value	NOUN
cana-3673	44	21	problem	problem	NOUN
cana-3673	44	22	is	be	AUX
cana-3673	44	23	first	first	ADV
cana-3673	44	24	transformed	transform	VERB
cana-3673	44	25	into	into	ADP
cana-3673	44	26	ordinary	ordinary	ADJ
cana-3673	44	27	and	and	CCONJ
cana-3673	44	28	partial	partial	ADJ
cana-3673	44	29	differential	differential	ADJ
cana-3673	44	30	equations	equation	NOUN
cana-3673	44	31	of	of	ADP
cana-3673	44	32	zeroth	zeroth	PROPN
cana-3673	44	33	and	and	CCONJ
cana-3673	44	34	first	first	ADJ
cana-3673	44	35	order	order	NOUN
cana-3673	44	36	,	,	PUNCT
cana-3673	44	37	respectively	respectively	ADV
cana-3673	44	38	,	,	PUNCT
cana-3673	44	39	using	use	VERB
cana-3673	44	40	the	the	DET
cana-3673	44	41	perturbation	perturbation	NOUN
cana-3673	44	42	method	method	NOUN
cana-3673	44	43	.	.	PUNCT
cana-3673	45	1	since	since	SCONJ
cana-3673	45	2	obtaining	obtain	VERB
cana-3673	45	3	an	an	DET
cana-3673	45	4	exact	exact	ADJ
cana-3673	45	5	solution	solution	NOUN
cana-3673	45	6	for	for	ADP
cana-3673	45	7	the	the	DET
cana-3673	45	8	partial	partial	ADJ
cana-3673	45	9	differential	differential	ADJ
cana-3673	45	10	equations	equation	NOUN
cana-3673	45	11	with	with	ADP
cana-3673	45	12	boundary	boundary	ADJ
cana-3673	45	13	conditions	condition	NOUN
cana-3673	45	14	is	be	AUX
cana-3673	45	15	highly	highly	ADV
cana-3673	45	16	challenging	challenging	ADJ
cana-3673	45	17	,	,	PUNCT
cana-3673	45	18	appropriate	appropriate	ADJ
cana-3673	45	19	substitutions	substitution	NOUN
cana-3673	45	20	are	be	AUX
cana-3673	45	21	made	make	VERB
cana-3673	45	22	to	to	PART
cana-3673	45	23	simplify	simplify	VERB
cana-3673	45	24	these	these	DET
cana-3673	45	25	equations	equation	NOUN
cana-3673	45	26	into	into	ADP
cana-3673	45	27	coupled	couple	VERB
cana-3673	45	28	non	non	ADJ
cana-3673	45	29	-	-	ADJ
cana-3673	45	30	linear	linear	ADJ
cana-3673	45	31	ordinary	ordinary	ADJ
cana-3673	45	32	differential	differential	ADJ
cana-3673	45	33	equations	equation	NOUN
cana-3673	45	34	.	.	PUNCT
cana-3673	46	1	these	these	DET
cana-3673	46	2	equations	equation	NOUN
cana-3673	46	3	are	be	AUX
cana-3673	46	4	then	then	ADV
cana-3673	46	5	solved	solve	VERB
cana-3673	46	6	numerically	numerically	ADV
cana-3673	46	7	using	use	VERB
cana-3673	46	8	the	the	DET
cana-3673	46	9	finite	finite	ADJ
cana-3673	46	10	difference	difference	NOUN
cana-3673	46	11	method	method	NOUN
cana-3673	46	12	mathematical	mathematical	ADJ
cana-3673	46	13	analysis	analysis	NOUN
cana-3673	46	14	:	:	PUNCT
cana-3673	46	15	we	we	PRON
cana-3673	46	16	now	now	ADV
cana-3673	46	17	consider	consider	VERB
cana-3673	46	18	the	the	DET
cana-3673	46	19	flow	flow	NOUN
cana-3673	46	20	of	of	ADP
cana-3673	46	21	a	a	DET
cana-3673	46	22	viscous	viscous	ADJ
cana-3673	46	23	fluid	fluid	NOUN
cana-3673	46	24	through	through	ADP
cana-3673	46	25	a	a	DET
cana-3673	46	26	highly	highly	ADV
cana-3673	46	27	porous	porous	ADJ
cana-3673	46	28	medium	medium	NOUN
cana-3673	46	29	bounded	bound	VERB
cana-3673	46	30	by	by	ADP
cana-3673	46	31	an	an	DET
cana-3673	46	32	infinite	infinite	ADJ
cana-3673	46	33	vertical	vertical	ADJ
cana-3673	46	34	porous	porous	ADJ
cana-3673	46	35	plate	plate	NOUN
cana-3673	46	36	with	with	ADP
cana-3673	46	37	constant	constant	ADJ
cana-3673	46	38	suction	suction	NOUN
cana-3673	46	39	.	.	PUNCT
cana-3673	47	1	the	the	DET
cana-3673	47	2	plate	plate	NOUN
cana-3673	47	3	is	be	AUX
cana-3673	47	4	positioned	position	VERB
cana-3673	47	5	vertically	vertically	ADV
cana-3673	47	6	in	in	ADP
cana-3673	47	7	the	the	DET
cana-3673	47	8	x*-z	x*-z	PROPN
cana-3673	47	9	*	*	SYM
cana-3673	47	10	plane	plane	NOUN
cana-3673	47	11	,	,	PUNCT
cana-3673	47	12	with	with	ADP
cana-3673	47	13	the	the	DET
cana-3673	47	14	x*-axis	x*-axis	PROPN
cana-3673	47	15	aligned	aligned	PROPN
cana-3673	47	16	along	along	ADP
cana-3673	47	17	the	the	DET
cana-3673	47	18	plate	plate	NOUN
cana-3673	47	19	in	in	ADP
cana-3673	47	20	the	the	DET
cana-3673	47	21	upward	upward	ADJ
cana-3673	47	22	direction	direction	NOUN
cana-3673	47	23	.	.	PUNCT
cana-3673	48	1	the	the	DET
cana-3673	48	2	y*-axis	y*-axis	PROPN
cana-3673	48	3	is	be	AUX
cana-3673	48	4	taken	take	VERB
cana-3673	48	5	normal	normal	ADJ
cana-3673	48	6	to	to	ADP
cana-3673	48	7	the	the	DET
cana-3673	48	8	plane	plane	NOUN
cana-3673	48	9	of	of	ADP
cana-3673	48	10	the	the	DET
cana-3673	48	11	plate	plate	NOUN
cana-3673	48	12	and	and	CCONJ
cana-3673	48	13	directed	direct	VERB
cana-3673	48	14	into	into	ADP
cana-3673	48	15	the	the	DET
cana-3673	48	16	fluid	fluid	NOUN
cana-3673	48	17	flowing	flow	VERB
cana-3673	48	18	laminar	laminar	NOUN
cana-3673	48	19	with	with	ADP
cana-3673	48	20	a	a	DET
cana-3673	48	21	uniform	uniform	ADJ
cana-3673	48	22	free	free	ADJ
cana-3673	48	23	stream	stream	NOUN
cana-3673	48	24	velocity	velocity	NOUN
cana-3673	48	25	u.	u.	PROPN
cana-3673	48	26	as	as	SCONJ
cana-3673	48	27	the	the	DET
cana-3673	48	28	plate	plate	NOUN
cana-3673	48	29	is	be	AUX
cana-3673	48	30	considered	consider	VERB
cana-3673	48	31	infinite	infinite	ADJ
cana-3673	48	32	in	in	ADP
cana-3673	48	33	the	the	DET
cana-3673	48	34	x*-direction	x*-direction	PROPN
cana-3673	48	35	,	,	PUNCT
cana-3673	48	36	all	all	DET
cana-3673	48	37	physical	physical	ADJ
cana-3673	48	38	quantities	quantity	NOUN
cana-3673	48	39	will	will	AUX
cana-3673	48	40	be	be	AUX
cana-3673	48	41	independent	independent	ADJ
cana-3673	48	42	of	of	ADP
cana-3673	48	43	x	x	X
cana-3673	48	44	*	*	PROPN
cana-3673	48	45	.	.	PUNCT
cana-3673	49	1	a	a	DET
cana-3673	49	2	magnetic	magnetic	ADJ
cana-3673	49	3	field	field	NOUN
cana-3673	49	4	of	of	ADP
cana-3673	49	5	uniform	uniform	ADJ
cana-3673	49	6	strength	strength	NOUN
cana-3673	49	7	is	be	AUX
cana-3673	49	8	applied	apply	VERB
cana-3673	49	9	perpendicular	perpendicular	ADJ
cana-3673	49	10	to	to	ADP
cana-3673	49	11	the	the	DET
cana-3673	49	12	flow	flow	NOUN
cana-3673	49	13	,	,	PUNCT
cana-3673	49	14	along	along	ADP
cana-3673	49	15	the	the	DET
cana-3673	49	16	*	*	PROPN
cana-3673	49	17	y	y	PROPN
cana-3673	49	18	axis	axis	NOUN
cana-3673	49	19	.	.	PUNCT
cana-3673	50	1	the	the	DET
cana-3673	50	2	permeability	permeability	NOUN
cana-3673	50	3	of	of	ADP
cana-3673	50	4	the	the	DET
cana-3673	50	5	porous	porous	ADJ
cana-3673	50	6	medium	medium	NOUN
cana-3673	50	7	is	be	AUX
cana-3673	50	8	assumed	assume	VERB
cana-3673	50	9	to	to	PART
cana-3673	50	10	have	have	VERB
cana-3673	50	11	the	the	DET
cana-3673	50	12	form	form	NOUN
cana-3673	50	13	)	)	PUNCT
cana-3673	50	14	/cos1	/cos1	PROPN
cana-3673	51	1	(	(	PUNCT
cana-3673	51	2	)	)	PUNCT
cana-3673	51	3	(	(	PUNCT
cana-3673	51	4	*	*	PUNCT
cana-3673	51	5	*	*	PUNCT
cana-3673	51	6	0	0	PUNCT
cana-3673	51	7	*	*	PUNCT
cana-3673	51	8	*	*	PUNCT
cana-3673	51	9	lz	lz	ADP
cana-3673	51	10	k	k	PROPN
cana-3673	51	11	zk	zk	PROPN
cana-3673	51	12	+	+	PROPN
cana-3673	51	13	=	=	PUNCT
cana-3673	51	14	(	(	PUNCT
cana-3673	51	15	1	1	NUM
cana-3673	51	16	)	)	PUNCT
cana-3673	51	17	here	here	ADV
cana-3673	51	18	,	,	PUNCT
cana-3673	51	19	k	k	PROPN
cana-3673	51	20	represents	represent	VERB
cana-3673	51	21	the	the	DET
cana-3673	51	22	mean	mean	ADJ
cana-3673	51	23	permeability	permeability	NOUN
cana-3673	51	24	of	of	ADP
cana-3673	51	25	the	the	DET
cana-3673	51	26	medium	medium	NOUN
cana-3673	51	27	,	,	PUNCT
cana-3673	51	28	l	l	NOUN
cana-3673	51	29	is	be	AUX
cana-3673	51	30	the	the	DET
cana-3673	51	31	wavelength	wavelength	NOUN
cana-3673	51	32	of	of	ADP
cana-3673	51	33	the	the	DET
cana-3673	51	34	permeability	permeability	NOUN
cana-3673	51	35	distribution	distribution	NOUN
cana-3673	51	36	,	,	PUNCT
cana-3673	51	37	and	and	CCONJ
cana-3673	51	38	ε	ε	PROPN
cana-3673	51	39	(	(	PUNCT
cana-3673	51	40	<	<	X
cana-3673	51	41	<	<	X
cana-3673	51	42	1	1	NUM
cana-3673	51	43	)	)	PUNCT
cana-3673	51	44	is	be	AUX
cana-3673	51	45	the	the	DET
cana-3673	51	46	amplitude	amplitude	NOUN
cana-3673	51	47	of	of	ADP
cana-3673	51	48	the	the	DET
cana-3673	51	49	permeability	permeability	NOUN
cana-3673	51	50	variation	variation	NOUN
cana-3673	51	51	.	.	PUNCT
cana-3673	52	1	this	this	DET
cana-3673	52	2	variation	variation	NOUN
cana-3673	52	3	in	in	ADP
cana-3673	52	4	permeability	permeability	NOUN
cana-3673	52	5	makes	make	VERB
cana-3673	52	6	the	the	DET
cana-3673	52	7	problem	problem	NOUN
cana-3673	52	8	three	three	ADV
cana-3673	52	9	-	-	PUNCT
cana-3673	52	10	dimensional	dimensional	ADJ
cana-3673	52	11	.	.	PUNCT
cana-3673	53	1	all	all	DET
cana-3673	53	2	fluid	fluid	ADJ
cana-3673	53	3	properties	property	NOUN
cana-3673	53	4	are	be	AUX
cana-3673	53	5	assumed	assume	VERB
cana-3673	53	6	to	to	PART
cana-3673	53	7	be	be	AUX
cana-3673	53	8	constant	constant	ADJ
cana-3673	53	9	,	,	PUNCT
cana-3673	53	10	except	except	SCONJ
cana-3673	53	11	that	that	SCONJ
cana-3673	53	12	the	the	DET
cana-3673	53	13	communications	communication	NOUN
cana-3673	53	14	on	on	ADP
cana-3673	53	15	applied	apply	VERB
cana-3673	53	16	nonlinear	nonlinear	ADJ
cana-3673	53	17	analysis	analysis	NOUN
cana-3673	53	18	issn	issn	NOUN
cana-3673	53	19	:	:	PUNCT
cana-3673	53	20	1074	1074	NUM
cana-3673	53	21	-	-	PUNCT
cana-3673	53	22	133x	133x	NUM
cana-3673	53	23	vol	vol	NOUN
cana-3673	53	24	32	32	NUM
cana-3673	53	25	no	no	NOUN
cana-3673	53	26	.	.	PUNCT
cana-3673	54	1	8s	8s	PROPN
cana-3673	54	2	(	(	PUNCT
cana-3673	54	3	2025	2025	NUM
cana-3673	54	4	)	)	PUNCT
cana-3673	54	5	312	312	NUM
cana-3673	54	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	54	7	effect	effect	NOUN
cana-3673	54	8	of	of	ADP
cana-3673	54	9	density	density	NOUN
cana-3673	54	10	variation	variation	NOUN
cana-3673	54	11	with	with	ADP
cana-3673	54	12	temperature	temperature	NOUN
cana-3673	54	13	and	and	CCONJ
cana-3673	54	14	concentration	concentration	NOUN
cana-3673	54	15	is	be	AUX
cana-3673	54	16	considered	consider	VERB
cana-3673	54	17	only	only	ADV
cana-3673	54	18	in	in	ADP
cana-3673	54	19	the	the	DET
cana-3673	54	20	body	body	NOUN
cana-3673	54	21	force	force	NOUN
cana-3673	54	22	term	term	NOUN
cana-3673	54	23	.	.	PUNCT
cana-3673	55	1	the	the	DET
cana-3673	55	2	influence	influence	NOUN
cana-3673	55	3	of	of	ADP
cana-3673	55	4	fluid	fluid	ADJ
cana-3673	55	5	saturation	saturation	NOUN
cana-3673	55	6	and	and	CCONJ
cana-3673	55	7	spatial	spatial	ADJ
cana-3673	55	8	variation	variation	NOUN
cana-3673	55	9	on	on	ADP
cana-3673	55	10	permeability	permeability	NOUN
cana-3673	55	11	is	be	AUX
cana-3673	55	12	neglected	neglect	VERB
cana-3673	55	13	and	and	CCONJ
cana-3673	55	14	not	not	PART
cana-3673	55	15	addressed	address	VERB
cana-3673	55	16	in	in	ADP
cana-3673	55	17	this	this	DET
cana-3673	55	18	context	context	NOUN
cana-3673	55	19	thus	thus	ADV
cana-3673	55	20	,	,	PUNCT
cana-3673	55	21	denoting	denote	VERB
cana-3673	55	22	the	the	DET
cana-3673	55	23	velocity	velocity	NOUN
cana-3673	55	24	components	component	NOUN
cana-3673	55	25	by	by	ADP
cana-3673	55	26	*	*	PROPN
cana-3673	55	27	*	*	PUNCT
cana-3673	55	28	*	*	PUNCT
cana-3673	55	29	,	,	PUNCT
cana-3673	55	30	,	,	PUNCT
cana-3673	55	31	wvu	wvu	PROPN
cana-3673	55	32	in	in	ADP
cana-3673	55	33	the	the	DET
cana-3673	55	34	respective	respective	ADJ
cana-3673	55	35	directions	direction	NOUN
cana-3673	55	36	,	,	PUNCT
cana-3673	55	37	and	and	CCONJ
cana-3673	55	38	the	the	DET
cana-3673	55	39	temperature	temperature	NOUN
cana-3673	55	40	by	by	ADP
cana-3673	55	41	t	t	PROPN
cana-3673	55	42	*	*	PUNCT
cana-3673	55	43	and	and	CCONJ
cana-3673	55	44	concentration	concentration	NOUN
cana-3673	55	45	by	by	ADP
cana-3673	55	46	c	c	NOUN
cana-3673	55	47	*	*	NOUN
cana-3673	55	48	,	,	PUNCT
cana-3673	55	49	the	the	DET
cana-3673	55	50	flow	flow	NOUN
cana-3673	55	51	through	through	ADP
cana-3673	55	52	a	a	DET
cana-3673	55	53	highly	highly	ADV
cana-3673	55	54	porous	porous	ADJ
cana-3673	55	55	medium	medium	NOUN
cana-3673	55	56	is	be	AUX
cana-3673	55	57	governed	govern	VERB
cana-3673	55	58	by	by	ADP
cana-3673	55	59	the	the	DET
cana-3673	55	60	following	follow	VERB
cana-3673	55	61	non	non	ADJ
cana-3673	55	62	-	-	ADJ
cana-3673	55	63	dimensional	dimensional	ADJ
cana-3673	55	64	equations	equation	NOUN
cana-3673	55	65	0=	0=	NOUN
cana-3673	56	1			PROPN
cana-3673	56	2			PROPN
cana-3673	56	3	+	+	CCONJ
cana-3673	56	4			ADJ
cana-3673	56	5			PROPN
cana-3673	56	6	z	z	PROPN
cana-3673	56	7	w	w	PROPN
cana-3673	56	8	y	y	PROPN
cana-3673	56	9	v	v	PROPN
cana-3673	56	10	(	(	PUNCT
cana-3673	56	11	2	2	NUM
cana-3673	56	12	)	)	PUNCT
cana-3673	56	13	u	u	NOUN
cana-3673	56	14	m	m	NOUN
cana-3673	56	15	k	k	NOUN
cana-3673	56	16	zu	zu	ADJ
cana-3673	56	17	z	z	PROPN
cana-3673	56	18	u	u	NOUN
cana-3673	56	19	y	y	PROPN
cana-3673	56	20	u	u	NOUN
cana-3673	56	21	gmgr	gmgr	ADJ
cana-3673	56	22	z	z	NOUN
cana-3673	56	23	u	u	PROPN
cana-3673	56	24	w	w	PROPN
cana-3673	56	25	y	y	PROPN
cana-3673	56	26	u	u	PROPN
cana-3673	56	27	v	v	ADP
cana-3673	56	28	rere	rere	PROPN
cana-3673	56	29	)	)	PUNCT
cana-3673	56	30	cos1()1	cos1()1	PROPN
cana-3673	56	31	(	(	PUNCT
cana-3673	56	32	re	re	NOUN
cana-3673	56	33	1	1	NUM
cana-3673	56	34	rere	rere	PROPN
cana-3673	56	35	2	2	NUM
cana-3673	56	36	0	0	SYM
cana-3673	56	37	2	2	NUM
cana-3673	56	38	2	2	NUM
cana-3673	56	39	2	2	NUM
cana-3673	56	40	2	2	NUM
cana-3673	56	41	−	−	NOUN
cana-3673	57	1	+	+	ADJ
cana-3673	57	2	−	−	NOUN
cana-3673	57	3	−	−	ADJ
cana-3673	57	4			VERB
cana-3673	57	5			PROPN
cana-3673	57	6			PROPN
cana-3673	57	7			PROPN
cana-3673	57	8			NOUN
cana-3673	57	9			PROPN
cana-3673	57	10			PROPN
cana-3673	57	11	+	+	CCONJ
cana-3673	57	12			ADJ
cana-3673	57	13			ADJ
cana-3673	57	14	+	+	ADJ
cana-3673	57	15	+	+	ADJ
cana-3673	57	16	=	=	NOUN
cana-3673	57	17			ADJ
cana-3673	57	18			ADJ
cana-3673	57	19	+	+	CCONJ
cana-3673	57	20			ADJ
cana-3673	57	21			PROPN
cana-3673	57	22			PROPN
cana-3673	57	23			NOUN
cana-3673	57	24	(	(	PUNCT
cana-3673	57	25	3	3	NUM
cana-3673	57	26	)	)	PUNCT
cana-3673	57	27	(	(	PUNCT
cana-3673	57	28	)	)	PUNCT
cana-3673	57	29	0	0	NUM
cana-3673	57	30	2	2	NUM
cana-3673	57	31	2	2	NUM
cana-3673	57	32	2	2	NUM
cana-3673	57	33	2	2	NUM
cana-3673	57	34	re	re	ADP
cana-3673	57	35	cos1	cos1	PROPN
cana-3673	57	36	re	re	PROPN
cana-3673	57	37	1	1	PROPN
cana-3673	57	38	k	k	PROPN
cana-3673	57	39	vz	vz	PROPN
cana-3673	57	40	z	z	PROPN
cana-3673	57	41	v	v	PROPN
cana-3673	57	42	y	y	PROPN
cana-3673	57	43	v	v	INTJ
cana-3673	57	44	y	y	PROPN
cana-3673	57	45	p	p	PROPN
cana-3673	57	46	z	z	PROPN
cana-3673	57	47	v	v	PROPN
cana-3673	57	48	w	w	PROPN
cana-3673	57	49	y	y	PROPN
cana-3673	57	50	v	v	PROPN
cana-3673	57	51	v	v	ADP
cana-3673	57	52	+	+	PROPN
cana-3673	57	53	−	−	PROPN
cana-3673	58	1			PROPN
cana-3673	59	1			PROPN
cana-3673	60	1			NOUN
cana-3673	61	1			PROPN
cana-3673	61	2			PROPN
cana-3673	61	3			PROPN
cana-3673	62	1			PROPN
cana-3673	62	2			NOUN
cana-3673	62	3			PROPN
cana-3673	62	4			PROPN
cana-3673	62	5	+	+	CCONJ
cana-3673	62	6			ADJ
cana-3673	62	7			ADJ
cana-3673	62	8	+	+	CCONJ
cana-3673	62	9			PROPN
cana-3673	62	10			PROPN
cana-3673	62	11	−=	−=	ADP
cana-3673	62	12			PROPN
cana-3673	62	13			PROPN
cana-3673	62	14	+	+	CCONJ
cana-3673	62	15			ADJ
cana-3673	62	16			ADJ
cana-3673	62	17	(	(	PUNCT
cana-3673	62	18	4	4	NUM
cana-3673	62	19	)	)	PUNCT
cana-3673	62	20	(	(	PUNCT
cana-3673	62	21	)	)	PUNCT
cana-3673	63	1	w	w	NOUN
cana-3673	63	2	m	m	VERB
cana-3673	63	3	k	k	ADJ
cana-3673	63	4	wz	wz	PROPN
cana-3673	63	5	z	z	PROPN
cana-3673	63	6	w	w	PROPN
cana-3673	63	7	y	y	PROPN
cana-3673	63	8	w	w	PROPN
cana-3673	63	9	z	z	PROPN
cana-3673	63	10	p	p	PROPN
cana-3673	63	11	z	z	PROPN
cana-3673	63	12	w	w	PROPN
cana-3673	63	13	w	w	PROPN
cana-3673	63	14	y	y	PROPN
cana-3673	63	15	w	w	PROPN
cana-3673	63	16	v	v	PROPN
cana-3673	63	17	rere	rere	PROPN
cana-3673	63	18	cos1	cos1	PROPN
cana-3673	63	19	re	re	VERB
cana-3673	63	20	1	1	NUM
cana-3673	63	21	2	2	NUM
cana-3673	63	22	0	0	NUM
cana-3673	63	23	2	2	NUM
cana-3673	63	24	2	2	NUM
cana-3673	63	25	2	2	NUM
cana-3673	63	26	2	2	NUM
cana-3673	63	27	−	−	PROPN
cana-3673	63	28	+	+	PROPN
cana-3673	63	29	−	−	PROPN
cana-3673	64	1			PROPN
cana-3673	65	1			PROPN
cana-3673	66	1			NOUN
cana-3673	67	1			PROPN
cana-3673	67	2			PROPN
cana-3673	67	3			PROPN
cana-3673	68	1			PROPN
cana-3673	68	2			NOUN
cana-3673	68	3			PROPN
cana-3673	68	4			PROPN
cana-3673	68	5	+	+	CCONJ
cana-3673	68	6			ADJ
cana-3673	68	7			ADJ
cana-3673	68	8	+	+	CCONJ
cana-3673	68	9			PROPN
cana-3673	68	10			PROPN
cana-3673	68	11	−=	−=	ADP
cana-3673	68	12			PROPN
cana-3673	68	13			PROPN
cana-3673	68	14	+	+	CCONJ
cana-3673	68	15			ADJ
cana-3673	68	16			ADJ
cana-3673	68	17	(	(	PUNCT
cana-3673	68	18	5	5	NUM
cana-3673	68	19	)	)	PUNCT
cana-3673	68	20			NOUN
cana-3673	68	21			NOUN
cana-3673	68	22	prreprre	prreprre	NOUN
cana-3673	68	23	1	1	NUM
cana-3673	68	24	2	2	NUM
cana-3673	68	25	2	2	NUM
cana-3673	68	26	2	2	NUM
cana-3673	68	27	2	2	NUM
cana-3673	68	28	s	s	NOUN
cana-3673	68	29	zyz	zyz	NOUN
cana-3673	68	30	w	w	PROPN
cana-3673	68	31	y	y	PROPN
cana-3673	68	32	v	v	PROPN
cana-3673	68	33	+	+	ADV
cana-3673	68	34			PROPN
cana-3673	68	35			PROPN
cana-3673	68	36			NOUN
cana-3673	69	1			PROPN
cana-3673	69	2			PROPN
cana-3673	69	3			PROPN
cana-3673	70	1			PROPN
cana-3673	70	2			NOUN
cana-3673	70	3			PROPN
cana-3673	70	4			PROPN
cana-3673	70	5	+	+	CCONJ
cana-3673	70	6			ADJ
cana-3673	70	7			ADJ
cana-3673	70	8	=	=	SYM
cana-3673	70	9			ADJ
cana-3673	70	10			ADJ
cana-3673	70	11	+	+	CCONJ
cana-3673	70	12			ADJ
cana-3673	70	13			ADJ
cana-3673	70	14	(	(	PUNCT
cana-3673	70	15	6	6	NUM
cana-3673	70	16	)	)	PUNCT
cana-3673	70	17			NOUN
cana-3673	70	18			NOUN
cana-3673	70	19	ch	ch	PROPN
cana-3673	70	20	zyscz	zyscz	PROPN
cana-3673	70	21	w	w	PROPN
cana-3673	70	22	y	y	PROPN
cana-3673	70	23	v	v	PRON
cana-3673	70	24	−	−	PROPN
cana-3673	70	25			NOUN
cana-3673	70	26			PROPN
cana-3673	70	27			PROPN
cana-3673	70	28			PROPN
cana-3673	70	29			NOUN
cana-3673	70	30			PROPN
cana-3673	70	31			PROPN
cana-3673	70	32	+	+	CCONJ
cana-3673	70	33			ADJ
cana-3673	70	34			ADJ
cana-3673	70	35	=	=	SYM
cana-3673	70	36			ADJ
cana-3673	70	37			PROPN
cana-3673	70	38	+	+	CCONJ
cana-3673	70	39			ADJ
cana-3673	70	40			ADJ
cana-3673	70	41	2	2	NUM
cana-3673	70	42	2	2	NUM
cana-3673	70	43	2	2	NUM
cana-3673	70	44	2	2	NUM
cana-3673	70	45	re	re	NOUN
cana-3673	70	46	1	1	NUM
cana-3673	70	47	(	(	PUNCT
cana-3673	70	48	7	7	NUM
cana-3673	70	49	)	)	PUNCT
cana-3673	70	50	with	with	ADP
cana-3673	70	51	boundary	boundary	ADJ
cana-3673	70	52	conditions	condition	NOUN
cana-3673	70	53	in	in	ADP
cana-3673	70	54	non	non	ADJ
cana-3673	70	55	-	-	ADJ
cana-3673	70	56	dimensional	dimensional	ADJ
cana-3673	70	57	form	form	NOUN
cana-3673	70	58	:	:	PUNCT
cana-3673	70	59	;	;	PUNCT
cana-3673	70	60	0	0	PUNCT
cana-3673	70	61	=	=	SYM
cana-3673	70	62	y	y	PROPN
cana-3673	70	63	,	,	PUNCT
cana-3673	70	64	0	0	PUNCT
cana-3673	70	65	=	=	SYM
cana-3673	70	66	u	u	PROPN
cana-3673	70	67	,	,	PUNCT
cana-3673	70	68	1−=v	1−=v	NUM
cana-3673	70	69	,	,	PUNCT
cana-3673	70	70	0	0	PUNCT
cana-3673	70	71	=	=	SYM
cana-3673	70	72	w	w	PROPN
cana-3673	70	73	,	,	PUNCT
cana-3673	70	74	1=	1=	NUM
cana-3673	70	75	1=	1=	NUM
cana-3673	70	76	(	(	PUNCT
cana-3673	70	77	8)	8)	NUM
cana-3673	70	78	;	;	PUNCT
cana-3673	70	79	→y	→y	NOUN
cana-3673	70	80	,	,	PUNCT
cana-3673	70	81	1→u	1→u	NUM
cana-3673	70	82	,	,	PUNCT
cana-3673	70	83	1→w	1→w	NUM
cana-3673	70	84	,	,	PUNCT
cana-3673	70	85	→	→	PROPN
cana-3673	70	86	pp	pp	ADV
cana-3673	70	87	,	,	PUNCT
cana-3673	70	88	0→	0→	NOUN
cana-3673	70	89	0→	0→	NUM
cana-3673	70	90	where	where	SCONJ
cana-3673	70	91	=	=	NOUN
cana-3673	70	92	,	,	PUNCT
cana-3673	70	93	*	*	PUNCT
cana-3673	71	1	l	l	NOUN
cana-3673	71	2	y	y	PROPN
cana-3673	71	3	y	y	PROPN
cana-3673	71	4	,	,	PUNCT
cana-3673	71	5	*	*	PUNCT
cana-3673	72	1	l	l	NOUN
cana-3673	72	2	z	z	NOUN
cana-3673	72	3	z	z	NOUN
cana-3673	72	4	=	=	SYM
cana-3673	72	5	,	,	PUNCT
cana-3673	72	6	*	*	PUNCT
cana-3673	72	7	u	u	NOUN
cana-3673	72	8	u	u	NOUN
cana-3673	72	9	u	u	NOUN
cana-3673	72	10	=	=	X
cana-3673	72	11	,	,	PUNCT
cana-3673	72	12	*	*	PUNCT
cana-3673	72	13	v	v	NUM
cana-3673	72	14	v	v	X
cana-3673	72	15	v	v	NOUN
cana-3673	72	16	=	=	PUNCT
cana-3673	72	17	,	,	PUNCT
cana-3673	72	18	*	*	PUNCT
cana-3673	72	19	v	v	X
cana-3673	72	20	w	w	PROPN
cana-3673	72	21	w	w	PROPN
cana-3673	73	1	=	=	PUNCT
cana-3673	73	2	,	,	PUNCT
cana-3673	73	3	2	2	NUM
cana-3673	73	4	*	*	PUNCT
cana-3673	73	5	u	u	NOUN
cana-3673	73	6	p	p	NOUN
cana-3673	73	7	p	p	NOUN
cana-3673	73	8			ADP
cana-3673	73	9	=	=	PUNCT
cana-3673	73	10	,	,	PUNCT
cana-3673	73	11	*	*	PUNCT
cana-3673	73	12	*	*	PUNCT
cana-3673	74	1	*	*	PUNCT
cana-3673	74	2	*	*	PUNCT
cana-3673	74	3			VERB
cana-3673	74	4			NOUN
cana-3673	74	5	−	−	NOUN
cana-3673	74	6	−	−	PROPN
cana-3673	74	7	=	=	PUNCT
cana-3673	74	8	tt	tt	X
cana-3673	74	9	tt	tt	PROPN
cana-3673	74	10	w	w	NOUN
cana-3673	74	11			PROPN
cana-3673	75	1	*	*	PUNCT
cana-3673	75	2	*	*	PUNCT
cana-3673	75	3	*	*	PUNCT
cana-3673	75	4	*	*	PUNCT
cana-3673	75	5			VERB
cana-3673	75	6			NOUN
cana-3673	75	7	−	−	NOUN
cana-3673	75	8	−	−	PROPN
cana-3673	75	9	=	=	SYM
cana-3673	75	10	cc	cc	PROPN
cana-3673	75	11	cc	cc	PROPN
cana-3673	75	12	w	w	NOUN
cana-3673	75	13			NOUN
cana-3673	75	14	,	,	PUNCT
cana-3673	75	15	(	(	PUNCT
cana-3673	75	16	)	)	PUNCT
cana-3673	75	17	2	2	NUM
cana-3673	76	1	*	*	PUNCT
cana-3673	76	2	*	*	PUNCT
cana-3673	76	3	uv	uv	NOUN
cana-3673	76	4	ttg	ttg	PROPN
cana-3673	76	5	gr	gr	PROPN
cana-3673	76	6	w	w	PROPN
cana-3673	76	7	−	−	PROPN
cana-3673	77	1	=	=	PUNCT
cana-3673	77	2			PROPN
cana-3673	77	3	(	(	PUNCT
cana-3673	77	4	grashof	grashof	ADJ
cana-3673	77	5	number	number	NOUN
cana-3673	77	6	)	)	PUNCT
cana-3673	77	7	,	,	PUNCT
cana-3673	77	8	v	v	X
cana-3673	77	9	lch	lch	PROPN
cana-3673	77	10	ch	ch	NOUN
cana-3673	77	11	.	.	PUNCT
cana-3673	78	1	=	=	PUNCT
cana-3673	78	2	(	(	PUNCT
cana-3673	78	3	)	)	PUNCT
cana-3673	78	4	2	2	NUM
cana-3673	79	1	*	*	PUNCT
cana-3673	79	2	*	*	PUNCT
cana-3673	79	3	*	*	PUNCT
cana-3673	79	4	uv	uv	PROPN
cana-3673	79	5	ccg	ccg	PROPN
cana-3673	79	6	gm	gm	PROPN
cana-3673	79	7	w	w	PROPN
cana-3673	79	8	−	−	PROPN
cana-3673	80	1	=	=	PUNCT
cana-3673	80	2			PROPN
cana-3673	80	3	(	(	PUNCT
cana-3673	80	4	modified	modify	VERB
cana-3673	80	5	grashof	grashof	ADJ
cana-3673	80	6	number	number	NOUN
cana-3673	80	7	)	)	PUNCT
cana-3673	81	1			NOUN
cana-3673	81	2	=	=	PUNCT
cana-3673	81	3	vl	vl	X
cana-3673	81	4	re	re	X
cana-3673	81	5	(	(	PUNCT
cana-3673	81	6	reynolds	reynolds	PROPN
cana-3673	81	7	number	number	PROPN
cana-3673	81	8	)	)	PUNCT
cana-3673	81	9	,	,	PUNCT
cana-3673	82	1	k	k	PROPN
cana-3673	82	2	cp	cp	PROPN
cana-3673	82	3	=	=	NOUN
cana-3673	82	4	pr	pr	X
cana-3673	82	5	(	(	PUNCT
cana-3673	82	6	prandtl	prandtl	NOUN
cana-3673	82	7	number	number	NOUN
cana-3673	82	8	)	)	PUNCT
cana-3673	82	9	communications	communication	NOUN
cana-3673	82	10	on	on	ADP
cana-3673	82	11	applied	apply	VERB
cana-3673	82	12	nonlinear	nonlinear	ADJ
cana-3673	82	13	analysis	analysis	NOUN
cana-3673	82	14	issn	issn	NOUN
cana-3673	82	15	:	:	PUNCT
cana-3673	82	16	1074	1074	NUM
cana-3673	82	17	-	-	PUNCT
cana-3673	82	18	133x	133x	NUM
cana-3673	82	19	vol	vol	NOUN
cana-3673	82	20	32	32	NUM
cana-3673	82	21	no	no	NOUN
cana-3673	82	22	.	.	PUNCT
cana-3673	83	1	8s	8s	PROPN
cana-3673	83	2	(	(	PUNCT
cana-3673	83	3	2025	2025	NUM
cana-3673	83	4	)	)	PUNCT
cana-3673	83	5	313	313	NUM
cana-3673	83	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	83	7	d	d	SYM
cana-3673	83	8	sc	sc	PROPN
cana-3673	83	9			PROPN
cana-3673	83	10	=	=	SYM
cana-3673	83	11	(	(	PUNCT
cana-3673	83	12	schmidt	schmidt	ADJ
cana-3673	83	13	number	number	NOUN
cana-3673	83	14	)	)	PUNCT
cana-3673	83	15	,	,	PUNCT
cana-3673	83	16	2	2	NUM
cana-3673	83	17	*	*	SYM
cana-3673	83	18	0	0	NUM
cana-3673	83	19	0	0	NUM
cana-3673	84	1	l	l	NOUN
cana-3673	84	2	k	k	NOUN
cana-3673	85	1	k	k	PROPN
cana-3673	85	2	=	=	PRON
cana-3673	85	3	(	(	PUNCT
cana-3673	85	4	permeability	permeability	NOUN
cana-3673	85	5	parameter	parameter	NOUN
cana-3673	85	6	)	)	PUNCT
cana-3673	85	7			NOUN
cana-3673	85	8			PROPN
cana-3673	85	9	lbm	lbm	NOUN
cana-3673	85	10	0=	0=	NOUN
cana-3673	85	11	(	(	PUNCT
cana-3673	85	12	magnetic	magnetic	ADJ
cana-3673	85	13	parameter	parameter	NOUN
cana-3673	85	14	)	)	PUNCT
cana-3673	85	15	,	,	PUNCT
cana-3673	85	16	k	k	PROPN
cana-3673	85	17	ql	ql	PROPN
cana-3673	85	18	s	s	PART
cana-3673	85	19	2	2	NUM
cana-3673	85	20	=	=	SYM
cana-3673	85	21	(	(	PUNCT
cana-3673	85	22	heat	heat	NOUN
cana-3673	85	23	source	source	NOUN
cana-3673	85	24	parameter	parameter	NOUN
cana-3673	85	25	)	)	PUNCT
cana-3673	85	26	to	to	PART
cana-3673	85	27	solve	solve	VERB
cana-3673	85	28	the	the	DET
cana-3673	85	29	above	above	ADJ
cana-3673	85	30	equations	equation	NOUN
cana-3673	85	31	,	,	PUNCT
cana-3673	85	32	we	we	PRON
cana-3673	85	33	assume	assume	VERB
cana-3673	85	34	the	the	DET
cana-3673	85	35	solution	solution	NOUN
cana-3673	85	36	takes	take	VERB
cana-3673	85	37	the	the	DET
cana-3673	85	38	following	follow	VERB
cana-3673	85	39	form	form	NOUN
cana-3673	85	40	,	,	PUNCT
cana-3673	85	41	given	give	VERB
cana-3673	85	42	that	that	SCONJ
cana-3673	85	43	the	the	DET
cana-3673	85	44	amplitude	amplitude	NOUN
cana-3673	85	45	(	(	PUNCT
cana-3673	85	46	)	)	PUNCT
cana-3673	85	47	1	1	NUM
cana-3673	85	48			ADV
cana-3673	85	49	is	be	AUX
cana-3673	85	50	very	very	ADV
cana-3673	85	51	small	small	ADJ
cana-3673	85	52	:	:	PUNCT
cana-3673	85	53	(	(	PUNCT
cana-3673	85	54	)	)	PUNCT
cana-3673	85	55	(	(	PUNCT
cana-3673	85	56	)	)	PUNCT
cana-3673	85	57	(	(	PUNCT
cana-3673	85	58	)	)	PUNCT
cana-3673	85	59	(	(	PUNCT
cana-3673	85	60	)	)	PUNCT
cana-3673	85	61	...	...	PUNCT
cana-3673	85	62	,	,	PUNCT
cana-3673	85	63	,	,	PUNCT
cana-3673	85	64	,	,	PUNCT
cana-3673	85	65	2	2	NUM
cana-3673	85	66	2	2	NUM
cana-3673	85	67	10	10	NUM
cana-3673	85	68	+	+	ADJ
cana-3673	85	69	+	+	ADJ
cana-3673	85	70	+	+	ADJ
cana-3673	85	71	=	=	ADJ
cana-3673	85	72	zyfzyfyfzyf	zyfzyfyfzyf	PROPN
cana-3673	85	73			PROPN
cana-3673	85	74	(	(	PUNCT
cana-3673	85	75	9	9	NUM
cana-3673	85	76	)	)	PUNCT
cana-3673	85	77	where	where	SCONJ
cana-3673	85	78	f	f	PROPN
cana-3673	85	79	stands	stand	VERB
cana-3673	85	80	for	for	ADP
cana-3673	85	81			PROPN
cana-3673	85	82	,	,	PUNCT
cana-3673	85	83	,	,	PUNCT
cana-3673	85	84	,	,	PUNCT
cana-3673	85	85	,	,	PUNCT
cana-3673	85	86	pwvu	pwvu	NOUN
cana-3673	85	87	and	and	CCONJ
cana-3673	85	88			NOUN
cana-3673	85	89	.	.	PUNCT
cana-3673	86	1	when	when	SCONJ
cana-3673	86	2	ε	ε	PROPN
cana-3673	86	3	is	be	AUX
cana-3673	86	4	considered	consider	VERB
cana-3673	86	5	small	small	ADJ
cana-3673	86	6	,	,	PUNCT
cana-3673	86	7	equations	equation	NOUN
cana-3673	86	8	(	(	PUNCT
cana-3673	86	9	2	2	NUM
cana-3673	86	10	)	)	PUNCT
cana-3673	86	11	to	to	ADP
cana-3673	86	12	(	(	PUNCT
cana-3673	86	13	7	7	X
cana-3673	86	14	)	)	PUNCT
cana-3673	86	15	are	be	AUX
cana-3673	86	16	reduced	reduce	VERB
cana-3673	86	17	to	to	ADP
cana-3673	86	18	two	two	NUM
cana-3673	86	19	-	-	PUNCT
cana-3673	86	20	dimensional	dimensional	ADJ
cana-3673	86	21	free	free	ADJ
cana-3673	86	22	convective	convective	ADJ
cana-3673	86	23	flow	flow	NOUN
cana-3673	86	24	through	through	ADP
cana-3673	86	25	a	a	DET
cana-3673	86	26	porous	porous	ADJ
cana-3673	86	27	medium	medium	NOUN
cana-3673	86	28	with	with	ADP
cana-3673	86	29	constant	constant	ADJ
cana-3673	86	30	permeability	permeability	NOUN
cana-3673	86	31	,	,	PUNCT
cana-3673	86	32	described	describe	VERB
cana-3673	86	33	by	by	ADP
cana-3673	86	34	the	the	DET
cana-3673	86	35	following	follow	VERB
cana-3673	86	36	equations	equation	NOUN
cana-3673	86	37	:	:	PUNCT
cana-3673	86	38	00	00	PUNCT
cana-3673	87	1	=	=	SYM
cana-3673	87	2	dy	dy	PROPN
cana-3673	87	3	dv	dv	PROPN
cana-3673	87	4	(	(	PUNCT
cana-3673	87	5	10	10	NUM
cana-3673	87	6	)	)	PUNCT
cana-3673	87	7	0	0	NUM
cana-3673	87	8	0	0	NUM
cana-3673	87	9	2	2	NUM
cana-3673	87	10	0	0	NUM
cana-3673	87	11	2	2	NUM
cana-3673	87	12	0	0	NUM
cana-3673	87	13	0	0	NUM
cana-3673	87	14	20	20	NUM
cana-3673	87	15	02	02	NUM
cana-3673	87	16	0	0	NUM
cana-3673	87	17	2	2	NUM
cana-3673	87	18	1	1	NUM
cana-3673	87	19	rere	rere	NOUN
cana-3673	87	20	1	1	NUM
cana-3673	87	21	re	re	ADP
cana-3673	87	22	k	k	X
cana-3673	87	23	gmgru	gmgru	NOUN
cana-3673	87	24	k	k	PROPN
cana-3673	87	25	m	m	VERB
cana-3673	87	26	dy	dy	X
cana-3673	87	27	du	du	PROPN
cana-3673	87	28	v	v	NOUN
cana-3673	87	29	dy	dy	INTJ
cana-3673	87	30	ud	ud	INTJ
cana-3673	87	31	−−−=	−−−=	INTJ
cana-3673	87	32			PROPN
cana-3673	87	33			NOUN
cana-3673	87	34			PROPN
cana-3673	87	35			PROPN
cana-3673	87	36			PROPN
cana-3673	88	1			PROPN
cana-3673	88	2			NOUN
cana-3673	88	3	+	+	ADP
cana-3673	88	4	−−	−−	NOUN
cana-3673	88	5			NOUN
cana-3673	88	6	(	(	PUNCT
cana-3673	88	7	11	11	NUM
cana-3673	88	8	)	)	PUNCT
cana-3673	88	9	0prre	0prre	NUM
cana-3673	88	10	0	0	NUM
cana-3673	88	11	0	0	NUM
cana-3673	88	12	02	02	NUM
cana-3673	88	13	0	0	NUM
cana-3673	88	14	2	2	NUM
cana-3673	88	15	=	=	SYM
cana-3673	88	16	+	+	NOUN
cana-3673	88	17	−	−	NOUN
cana-3673	88	18			X
cana-3673	88	19			PROPN
cana-3673	88	20	s	s	X
cana-3673	88	21	dy	dy	NOUN
cana-3673	88	22	d	d	X
cana-3673	88	23	v	v	NOUN
cana-3673	88	24	dy	dy	NOUN
cana-3673	88	25	d	d	PROPN
cana-3673	88	26	(	(	PUNCT
cana-3673	88	27	12	12	NUM
cana-3673	88	28	)	)	PUNCT
cana-3673	88	29	0	0	NUM
cana-3673	88	30	..	..	PUNCT
cana-3673	88	31	re.re	re.re	ADJ
cana-3673	88	32	0	0	NUM
cana-3673	88	33	0	0	NUM
cana-3673	88	34	02	02	NUM
cana-3673	88	35	0	0	NUM
cana-3673	88	36	2	2	NUM
cana-3673	88	37	=	=	NOUN
cana-3673	88	38	−−	−−	NOUN
cana-3673	88	39			NOUN
cana-3673	88	40			NUM
cana-3673	88	41	scch	scch	NOUN
cana-3673	88	42	dy	dy	NOUN
cana-3673	88	43	d	d	PROPN
cana-3673	88	44	scv	scv	PROPN
cana-3673	88	45	dy	dy	NOUN
cana-3673	88	46	d	d	PROPN
cana-3673	88	47	(	(	PUNCT
cana-3673	88	48	13	13	NUM
cana-3673	88	49	)	)	PUNCT
cana-3673	88	50	the	the	DET
cana-3673	88	51	corresponding	corresponding	ADJ
cana-3673	88	52	boundary	boundary	ADJ
cana-3673	88	53	conditions	condition	NOUN
cana-3673	88	54	are	be	AUX
cana-3673	88	55	reduced	reduce	VERB
cana-3673	88	56	to	to	ADP
cana-3673	88	57	:	:	PUNCT
cana-3673	88	58	;	;	PUNCT
cana-3673	88	59	0	0	PUNCT
cana-3673	88	60	=	=	SYM
cana-3673	88	61	y	y	PROPN
cana-3673	88	62	,	,	PUNCT
cana-3673	88	63	00	00	PUNCT
cana-3673	89	1	=	=	SYM
cana-3673	89	2	u	u	NOUN
cana-3673	89	3	,	,	PUNCT
cana-3673	89	4	10	10	NUM
cana-3673	89	5	−=v	−=v	NOUN
cana-3673	89	6	,	,	PUNCT
cana-3673	89	7	10	10	NUM
cana-3673	89	8	=	=	NOUN
cana-3673	89	9			X
cana-3673	89	10	10	10	NUM
cana-3673	89	11	=	=	NOUN
cana-3673	89	12			NOUN
cana-3673	89	13	(	(	PUNCT
cana-3673	89	14	14	14	NUM
cana-3673	89	15	)	)	PUNCT
cana-3673	89	16	;	;	PUNCT
cana-3673	89	17	→y	→y	NOUN
cana-3673	89	18	,	,	PUNCT
cana-3673	89	19	10	10	NUM
cana-3673	89	20	→u	→u	PUNCT
cana-3673	89	21	,	,	PUNCT
cana-3673	89	22	0	0	NUM
cana-3673	89	23	→	→	PROPN
cana-3673	89	24	pp	pp	ADV
cana-3673	89	25	,	,	PUNCT
cana-3673	89	26	00	00	PUNCT
cana-3673	89	27	→	→	NOUN
cana-3673	89	28	00	00	PUNCT
cana-3673	90	1	→	→	PUNCT
cana-3673	90	2	the	the	DET
cana-3673	90	3	solutions	solution	NOUN
cana-3673	90	4	of	of	ADP
cana-3673	90	5	equations	equation	NOUN
cana-3673	90	6	(	(	PUNCT
cana-3673	90	7	10	10	NUM
cana-3673	90	8	)	)	PUNCT
cana-3673	90	9	to	to	ADP
cana-3673	90	10	(	(	PUNCT
cana-3673	90	11	13	13	NUM
cana-3673	90	12	)	)	PUNCT
cana-3673	90	13	under	under	ADP
cana-3673	90	14	the	the	DET
cana-3673	90	15	boundary	boundary	ADJ
cana-3673	90	16	conditions	condition	NOUN
cana-3673	90	17	(	(	PUNCT
cana-3673	90	18	14	14	NUM
cana-3673	90	19	)	)	PUNCT
cana-3673	90	20	are	be	AUX
cana-3673	90	21	expressed	express	VERB
cana-3673	90	22	as	as	ADP
cana-3673	90	23	:	:	PUNCT
cana-3673	90	24	(	(	PUNCT
cana-3673	90	25	)	)	PUNCT
cana-3673	90	26	yryryr	yryryr	NOUN
cana-3673	90	27	egmegregmgru	egmegregmgru	VERB
cana-3673	90	28	1	1	NUM
cana-3673	90	29	0100	0100	NUM
cana-3673	90	30	.11	.11	NUM
cana-3673	90	31	−−−	−−−	NUM
cana-3673	91	1	−−−++=	−−−++=	PROPN
cana-3673	91	2			PROPN
cana-3673	91	3	rye−=0	rye−=0	PROPN
cana-3673	91	4	,	,	PUNCT
cana-3673	91	5	yr	yr	NOUN
cana-3673	91	6	e	e	NOUN
cana-3673	91	7	1	1	NUM
cana-3673	91	8	0	0	NUM
cana-3673	91	9	−	−	NOUN
cana-3673	92	1	=	=	NOUN
cana-3673	92	2			NOUN
cana-3673	92	3	with	with	ADP
cana-3673	92	4	,	,	PUNCT
cana-3673	92	5	10	10	NUM
cana-3673	92	6	−=v	−=v	X
cana-3673	92	7	00	00	PUNCT
cana-3673	92	8	=	=	SYM
cana-3673	92	9	w	w	PROPN
cana-3673	92	10	and	and	CCONJ
cana-3673	92	11	=	=	ADJ
cana-3673	92	12	pp0	pp0	VERB
cana-3673	92	13	where	where	SCONJ
cana-3673	92	14			PROPN
cana-3673	92	15			PROPN
cana-3673	92	16			NOUN
cana-3673	92	17			PROPN
cana-3673	93	1			PROPN
cana-3673	93	2			PROPN
cana-3673	94	1			PROPN
cana-3673	94	2			NOUN
cana-3673	94	3	+	+	PROPN
cana-3673	94	4	−−	−−	NOUN
cana-3673	94	5	=	=	SYM
cana-3673	94	6	0	0	NUM
cana-3673	94	7	22	22	NUM
cana-3673	94	8	2	2	NUM
cana-3673	94	9	0	0	NUM
cana-3673	94	10	1	1	NUM
cana-3673	94	11	re	re	X
cana-3673	94	12	re	re	PROPN
cana-3673	94	13	k	k	PROPN
cana-3673	94	14	mrr	mrr	PROPN
cana-3673	94	15			X
cana-3673	94	16	,	,	PUNCT
cana-3673	94	17	2	2	NUM
cana-3673	94	18	4prreprre	4prreprre	NUM
cana-3673	94	19	22	22	NUM
cana-3673	94	20	s	s	NOUN
cana-3673	94	21	r	r	NOUN
cana-3673	94	22	−+	−+	NOUN
cana-3673	94	23	=	=	NOUN
cana-3673	94	24	0	0	NUM
cana-3673	95	1	2	2	NUM
cana-3673	95	2	2	2	NUM
cana-3673	95	3	1	1	NUM
cana-3673	95	4	4	4	NUM
cana-3673	95	5	re	re	NUM
cana-3673	95	6	2	2	NUM
cana-3673	95	7	re	re	ADP
cana-3673	95	8	k	k	PROPN
cana-3673	95	9	mr	mr	PROPN
cana-3673	95	10	+	+	PROPN
cana-3673	95	11	+	+	PROPN
cana-3673	95	12	+	+	NOUN
cana-3673	95	13	=	=	NOUN
cana-3673	95	14	communications	communication	NOUN
cana-3673	95	15	on	on	ADP
cana-3673	95	16	applied	apply	VERB
cana-3673	95	17	nonlinear	nonlinear	ADJ
cana-3673	95	18	analysis	analysis	NOUN
cana-3673	95	19	issn	issn	NOUN
cana-3673	95	20	:	:	PUNCT
cana-3673	95	21	1074	1074	NUM
cana-3673	95	22	-	-	PUNCT
cana-3673	95	23	133x	133x	NUM
cana-3673	95	24	vol	vol	NOUN
cana-3673	95	25	32	32	NUM
cana-3673	95	26	no	no	NOUN
cana-3673	95	27	.	.	PUNCT
cana-3673	96	1	8s	8s	PROPN
cana-3673	96	2	(	(	PUNCT
cana-3673	96	3	2025	2025	NUM
cana-3673	96	4	)	)	PUNCT
cana-3673	96	5	314	314	NUM
cana-3673	96	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	96	7	2	2	NUM
cana-3673	96	8	.re.4rere	.re.4rere	SYM
cana-3673	96	9	22	22	NUM
cana-3673	96	10	1	1	NUM
cana-3673	96	11	scchscsc	scchscsc	VERB
cana-3673	96	12	r	r	NOUN
cana-3673	96	13	+	+	PROPN
cana-3673	96	14	+	+	NOUN
cana-3673	96	15	=	=	SYM
cana-3673	96	16	(	(	PUNCT
cana-3673	96	17	)	)	PUNCT
cana-3673	96	18			PROPN
cana-3673	97	1			PROPN
cana-3673	97	2			NOUN
cana-3673	98	1			NOUN
cana-3673	98	2			PROPN
cana-3673	98	3			PROPN
cana-3673	99	1			PROPN
cana-3673	99	2			NOUN
cana-3673	99	3	+	+	PROPN
cana-3673	99	4	−−	−−	NOUN
cana-3673	99	5	=	=	SYM
cana-3673	99	6	0	0	NUM
cana-3673	99	7	22	22	NUM
cana-3673	99	8	2	2	NUM
cana-3673	99	9	1	1	NUM
cana-3673	99	10	1	1	NUM
cana-3673	99	11	1re	1re	NOUN
cana-3673	99	12	re	re	ADP
cana-3673	99	13	k	k	PROPN
cana-3673	99	14	mscsc	mscsc	PROPN
cana-3673	99	15			PROPN
cana-3673	99	16	,	,	PUNCT
cana-3673	99	17	when	when	SCONJ
cana-3673	99	18	substituting	substitute	VERB
cana-3673	99	19	equation	equation	NOUN
cana-3673	99	20	(	(	PUNCT
cana-3673	99	21	9	9	NUM
cana-3673	99	22	)	)	PUNCT
cana-3673	99	23	into	into	ADP
cana-3673	99	24	equations	equation	NOUN
cana-3673	99	25	(	(	PUNCT
cana-3673	99	26	2	2	NUM
cana-3673	99	27	)	)	PUNCT
cana-3673	99	28	to	to	ADP
cana-3673	99	29	(	(	PUNCT
cana-3673	99	30	7	7	NUM
cana-3673	99	31	)	)	PUNCT
cana-3673	99	32	and	and	CCONJ
cana-3673	99	33	comparing	compare	VERB
cana-3673	99	34	the	the	DET
cana-3673	99	35	coefficients	coefficient	NOUN
cana-3673	99	36	of	of	ADP
cana-3673	99	37	identical	identical	ADJ
cana-3673	99	38	powers	power	NOUN
cana-3673	99	39	of	of	ADP
cana-3673	99	40	ε	ε	PROPN
cana-3673	99	41	(	(	PUNCT
cana-3673	99	42	with	with	ADP
cana-3673	99	43	higher	high	ADJ
cana-3673	99	44	-	-	PUNCT
cana-3673	99	45	order	order	NOUN
cana-3673	99	46	terms	term	NOUN
cana-3673	99	47	,	,	PUNCT
cana-3673	99	48	........	........	PUNCT
cana-3673	99	49	,	,	PUNCT
cana-3673	99	50	32	32	NUM
cana-3673	99	51			NOUN
cana-3673	99	52	neglected	neglect	VERB
cana-3673	99	53	since	since	SCONJ
cana-3673	99	54	ε	ε	PROPN
cana-3673	99	55	is	be	AUX
cana-3673	99	56	small	small	ADJ
cana-3673	99	57	)	)	PUNCT
cana-3673	99	58	,	,	PUNCT
cana-3673	99	59	the	the	DET
cana-3673	99	60	following	follow	VERB
cana-3673	99	61	equations	equation	NOUN
cana-3673	99	62	are	be	AUX
cana-3673	99	63	obtained	obtain	VERB
cana-3673	99	64	:	:	PUNCT
cana-3673	99	65	011	011	NUM
cana-3673	99	66	=	=	SYM
cana-3673	99	67			ADJ
cana-3673	99	68			ADJ
cana-3673	99	69	+	+	CCONJ
cana-3673	99	70			ADJ
cana-3673	99	71			PROPN
cana-3673	99	72	z	z	PROPN
cana-3673	99	73	w	w	PROPN
cana-3673	99	74	y	y	PROPN
cana-3673	99	75	v	v	PROPN
cana-3673	99	76	(	(	PUNCT
cana-3673	99	77	15	15	NUM
cana-3673	99	78	)	)	PUNCT
cana-3673	99	79	(	(	PUNCT
cana-3673	99	80	)	)	PUNCT
cana-3673	99	81	1	1	NUM
cana-3673	99	82	2	2	NUM
cana-3673	99	83	0	0	NUM
cana-3673	99	84	10	10	NUM
cana-3673	99	85	2	2	NUM
cana-3673	99	86	1	1	NUM
cana-3673	99	87	2	2	NUM
cana-3673	99	88	2	2	NUM
cana-3673	99	89	1	1	NUM
cana-3673	99	90	2	2	NUM
cana-3673	99	91	11	11	NUM
cana-3673	99	92	10	10	NUM
cana-3673	99	93	1	1	NUM
cana-3673	99	94	rere	rere	PROPN
cana-3673	99	95	cos1	cos1	PROPN
cana-3673	99	96	re	re	ADP
cana-3673	99	97	1	1	NUM
cana-3673	99	98	rere	rere	PROPN
cana-3673	99	99	u	u	PROPN
cana-3673	99	100	m	m	PROPN
cana-3673	99	101	k	k	X
cana-3673	99	102	uzu	uzu	PROPN
cana-3673	99	103	z	z	PROPN
cana-3673	99	104	u	u	PROPN
cana-3673	99	105	y	y	PROPN
cana-3673	99	106	u	u	NOUN
cana-3673	99	107	gmgr	gmgr	VERB
cana-3673	99	108	y	y	NOUN
cana-3673	99	109	u	u	NOUN
cana-3673	99	110	y	y	PROPN
cana-3673	99	111	u	u	X
cana-3673	99	112	v	v	ADP
cana-3673	99	113	−	−	NOUN
cana-3673	100	1	+	+	NOUN
cana-3673	100	2	−	−	PROPN
cana-3673	100	3	−	−	ADJ
cana-3673	100	4			PROPN
cana-3673	100	5			NOUN
cana-3673	100	6			PROPN
cana-3673	100	7			PROPN
cana-3673	100	8			PROPN
cana-3673	101	1			PROPN
cana-3673	101	2			NOUN
cana-3673	101	3			PROPN
cana-3673	101	4			PROPN
cana-3673	101	5	+	+	CCONJ
cana-3673	101	6			ADJ
cana-3673	101	7			ADJ
cana-3673	101	8	+	+	ADJ
cana-3673	101	9	+	+	ADJ
cana-3673	101	10	=	=	NOUN
cana-3673	101	11			ADJ
cana-3673	101	12			ADJ
cana-3673	101	13	−	−	ADP
cana-3673	101	14			PROPN
cana-3673	101	15			PROPN
cana-3673	101	16			PROPN
cana-3673	101	17			NOUN
cana-3673	101	18	(	(	PUNCT
cana-3673	101	19	16	16	NUM
cana-3673	101	20	)	)	PUNCT
cana-3673	101	21	(	(	PUNCT
cana-3673	101	22	)	)	PUNCT
cana-3673	101	23	0	0	NUM
cana-3673	101	24	1	1	NUM
cana-3673	101	25	2	2	NUM
cana-3673	101	26	1	1	NUM
cana-3673	101	27	2	2	NUM
cana-3673	101	28	2	2	NUM
cana-3673	101	29	1	1	NUM
cana-3673	101	30	2	2	NUM
cana-3673	101	31	11	11	NUM
cana-3673	101	32	re	re	X
cana-3673	101	33	cos	cos	X
cana-3673	101	34	re	re	PROPN
cana-3673	101	35	1	1	NUM
cana-3673	101	36	k	k	NOUN
cana-3673	101	37	zv	zv	PROPN
cana-3673	101	38	z	z	PROPN
cana-3673	101	39	v	v	PROPN
cana-3673	101	40	y	y	PROPN
cana-3673	101	41	v	v	INTJ
cana-3673	101	42	y	y	PROPN
cana-3673	101	43	p	p	PROPN
cana-3673	101	44	y	y	PROPN
cana-3673	101	45	v	v	X
cana-3673	101	46	−	−	PROPN
cana-3673	101	47	−	−	PROPN
cana-3673	101	48			PROPN
cana-3673	101	49			PROPN
cana-3673	101	50			NOUN
cana-3673	102	1			PROPN
cana-3673	102	2			PROPN
cana-3673	102	3			PROPN
cana-3673	102	4			PROPN
cana-3673	102	5			NOUN
cana-3673	102	6			PROPN
cana-3673	102	7			PROPN
cana-3673	102	8	+	+	CCONJ
cana-3673	102	9			ADJ
cana-3673	102	10			ADJ
cana-3673	102	11	+	+	CCONJ
cana-3673	102	12			PROPN
cana-3673	102	13			PROPN
cana-3673	102	14	−=	−=	ADP
cana-3673	102	15			ADJ
cana-3673	102	16			ADJ
cana-3673	102	17	−	−	PROPN
cana-3673	102	18	(	(	PUNCT
cana-3673	102	19	17	17	NUM
cana-3673	102	20	)	)	SYM
cana-3673	102	21	1	1	NUM
cana-3673	102	22	2	2	NUM
cana-3673	102	23	0	0	NUM
cana-3673	102	24	1	1	NUM
cana-3673	102	25	2	2	NUM
cana-3673	102	26	1	1	NUM
cana-3673	102	27	2	2	NUM
cana-3673	102	28	2	2	NUM
cana-3673	102	29	1	1	NUM
cana-3673	102	30	2	2	NUM
cana-3673	102	31	11	11	NUM
cana-3673	102	32	rerere	rerere	NOUN
cana-3673	102	33	1	1	NUM
cana-3673	102	34	w	w	NOUN
cana-3673	102	35	m	m	PROPN
cana-3673	102	36	k	k	PROPN
cana-3673	102	37	w	w	PROPN
cana-3673	102	38	z	z	PROPN
cana-3673	102	39	w	w	PROPN
cana-3673	102	40	y	y	PROPN
cana-3673	102	41	w	w	PROPN
cana-3673	102	42	z	z	PROPN
cana-3673	102	43	p	p	PROPN
cana-3673	102	44	y	y	PROPN
cana-3673	102	45	w	w	PROPN
cana-3673	102	46	−−	−−	PROPN
cana-3673	102	47			PROPN
cana-3673	102	48			NOUN
cana-3673	102	49			PROPN
cana-3673	102	50			PROPN
cana-3673	102	51			PROPN
cana-3673	103	1			PROPN
cana-3673	103	2			NOUN
cana-3673	103	3			PROPN
cana-3673	103	4			PROPN
cana-3673	103	5	+	+	CCONJ
cana-3673	103	6			ADJ
cana-3673	103	7			ADJ
cana-3673	103	8	+	+	CCONJ
cana-3673	103	9			PROPN
cana-3673	103	10			PROPN
cana-3673	103	11	−=	−=	ADP
cana-3673	103	12			ADJ
cana-3673	103	13			ADJ
cana-3673	103	14	−	−	PROPN
cana-3673	103	15	(	(	PUNCT
cana-3673	103	16	18	18	NUM
cana-3673	103	17	)	)	PUNCT
cana-3673	103	18	12	12	NUM
cana-3673	103	19	1	1	NUM
cana-3673	103	20	2	2	NUM
cana-3673	103	21	2	2	NUM
cana-3673	103	22	1	1	NUM
cana-3673	103	23	2	2	NUM
cana-3673	103	24	10	10	NUM
cana-3673	103	25	1	1	NUM
cana-3673	103	26	prreprre	prreprre	NOUN
cana-3673	103	27	1	1	NUM
cana-3673	103	28			NOUN
cana-3673	103	29			ADP
cana-3673	103	30	s	s	PART
cana-3673	103	31	zyyy	zyyy	PROPN
cana-3673	103	32	v	v	PROPN
cana-3673	103	33	+	+	CCONJ
cana-3673	103	34			PROPN
cana-3673	103	35			PROPN
cana-3673	104	1			NOUN
cana-3673	105	1			PROPN
cana-3673	105	2			PROPN
cana-3673	105	3			PROPN
cana-3673	106	1			PROPN
cana-3673	106	2			NOUN
cana-3673	106	3			PROPN
cana-3673	106	4			PROPN
cana-3673	106	5	+	+	CCONJ
cana-3673	106	6			ADJ
cana-3673	106	7			ADJ
cana-3673	106	8	=	=	SYM
cana-3673	106	9			ADJ
cana-3673	106	10			PROPN
cana-3673	106	11	−	−	ADP
cana-3673	106	12			ADJ
cana-3673	106	13			ADJ
cana-3673	106	14	(	(	PUNCT
cana-3673	106	15	19	19	NUM
cana-3673	106	16	)	)	PUNCT
cana-3673	106	17	12	12	NUM
cana-3673	106	18	1	1	NUM
cana-3673	106	19	2	2	NUM
cana-3673	106	20	2	2	NUM
cana-3673	106	21	1	1	NUM
cana-3673	106	22	2	2	NUM
cana-3673	106	23	10	10	NUM
cana-3673	106	24	1	1	NUM
cana-3673	106	25	re	re	ADP
cana-3673	106	26	1	1	NUM
cana-3673	106	27			NOUN
cana-3673	106	28			NOUN
cana-3673	106	29	ch	ch	PROPN
cana-3673	106	30	zyscyy	zyscyy	PROPN
cana-3673	106	31	v	v	ADP
cana-3673	106	32	−	−	NOUN
cana-3673	106	33			PROPN
cana-3673	106	34			NOUN
cana-3673	107	1			PROPN
cana-3673	107	2			PROPN
cana-3673	107	3			PROPN
cana-3673	108	1			PROPN
cana-3673	108	2			NOUN
cana-3673	108	3			PROPN
cana-3673	108	4			PROPN
cana-3673	108	5	+	+	CCONJ
cana-3673	108	6			ADJ
cana-3673	108	7			ADJ
cana-3673	108	8	=	=	SYM
cana-3673	108	9			ADJ
cana-3673	108	10			PROPN
cana-3673	108	11	−	−	ADP
cana-3673	108	12			ADJ
cana-3673	108	13			ADJ
cana-3673	108	14	(	(	PUNCT
cana-3673	108	15	20	20	NUM
cana-3673	108	16	)	)	PUNCT
cana-3673	108	17	with	with	ADP
cana-3673	108	18	the	the	DET
cana-3673	108	19	boundary	boundary	ADJ
cana-3673	108	20	conditions	condition	NOUN
cana-3673	108	21	:	:	PUNCT
cana-3673	108	22	;	;	PUNCT
cana-3673	108	23	0	0	PUNCT
cana-3673	108	24	=	=	SYM
cana-3673	108	25	y	y	PROPN
cana-3673	108	26	,	,	PUNCT
cana-3673	108	27	01	01	NUM
cana-3673	108	28	=	=	NUM
cana-3673	108	29	u	u	NOUN
cana-3673	108	30	,	,	PUNCT
cana-3673	108	31	01	01	NUM
cana-3673	108	32	=	=	NUM
cana-3673	108	33	v	v	NOUN
cana-3673	108	34	,	,	PUNCT
cana-3673	108	35	01	01	NUM
cana-3673	109	1	=	=	NUM
cana-3673	109	2	w	w	NOUN
cana-3673	109	3	,	,	PUNCT
cana-3673	109	4	01	01	NUM
cana-3673	109	5	=	=	NUM
cana-3673	109	6			NOUN
cana-3673	109	7	01	01	NUM
cana-3673	110	1	=	=	NOUN
cana-3673	110	2			NOUN
cana-3673	110	3	(	(	PUNCT
cana-3673	110	4	21	21	NUM
cana-3673	110	5	)	)	PUNCT
cana-3673	110	6	;	;	PUNCT
cana-3673	110	7	→y	→y	NOUN
cana-3673	110	8	,	,	PUNCT
cana-3673	110	9	01	01	NUM
cana-3673	110	10	→u	→u	PUNCT
cana-3673	110	11	,	,	PUNCT
cana-3673	110	12	01	01	NUM
cana-3673	110	13	→w	→w	NUM
cana-3673	110	14	,	,	PUNCT
cana-3673	110	15	01	01	NUM
cana-3673	110	16	→p	→p	NUM
cana-3673	110	17	,	,	PUNCT
cana-3673	110	18	01	01	NUM
cana-3673	110	19	→	→	NOUN
cana-3673	110	20	01	01	NUM
cana-3673	110	21	→	→	PRON
cana-3673	110	22	equations	equation	NOUN
cana-3673	110	23	(	(	PUNCT
cana-3673	110	24	15	15	NUM
cana-3673	110	25	)	)	PUNCT
cana-3673	110	26	to	to	ADP
cana-3673	110	27	(	(	PUNCT
cana-3673	110	28	20	20	NUM
cana-3673	110	29	)	)	PUNCT
cana-3673	110	30	are	be	AUX
cana-3673	110	31	the	the	DET
cana-3673	110	32	partial	partial	ADJ
cana-3673	110	33	differential	differential	ADJ
cana-3673	110	34	equations	equation	NOUN
cana-3673	110	35	that	that	PRON
cana-3673	110	36	describe	describe	VERB
cana-3673	110	37	free	free	ADJ
cana-3673	110	38	convective	convective	ADJ
cana-3673	110	39	threedimensional	threedimensional	ADJ
cana-3673	110	40	flow	flow	NOUN
cana-3673	110	41	.	.	PUNCT
cana-3673	111	1	to	to	PART
cana-3673	111	2	solve	solve	VERB
cana-3673	111	3	these	these	DET
cana-3673	111	4	equations	equation	NOUN
cana-3673	111	5	,	,	PUNCT
cana-3673	111	6	we	we	PRON
cana-3673	111	7	separate	separate	VERB
cana-3673	111	8	the	the	DET
cana-3673	111	9	variables	variable	NOUN
cana-3673	111	10	y	y	PROPN
cana-3673	111	11	and	and	CCONJ
cana-3673	111	12	z	z	PROPN
cana-3673	111	13	in	in	ADP
cana-3673	111	14	the	the	DET
cana-3673	111	15	following	following	ADJ
cana-3673	111	16	manner	manner	NOUN
cana-3673	111	17	..	..	PUNCT
cana-3673	111	18	(	(	PUNCT
cana-3673	111	19	)	)	PUNCT
cana-3673	111	20	(	(	PUNCT
cana-3673	111	21	)	)	PUNCT
cana-3673	111	22	zyvzyv	zyvzyv	PROPN
cana-3673	111	23	cos	cos	PROPN
cana-3673	111	24	,	,	PUNCT
cana-3673	111	25	111	111	NUM
cana-3673	111	26	−=	−=	NOUN
cana-3673	111	27	(	(	PUNCT
cana-3673	111	28	22	22	NUM
cana-3673	111	29	)	)	PUNCT
cana-3673	111	30	(	(	PUNCT
cana-3673	111	31	)	)	PUNCT
cana-3673	111	32	(	(	PUNCT
cana-3673	111	33	)	)	PUNCT
cana-3673	111	34	zyvzyw	zyvzyw	NOUN
cana-3673	111	35			PROPN
cana-3673	111	36			ADJ
cana-3673	111	37	sin	sin	NOUN
cana-3673	111	38	1	1	NUM
cana-3673	111	39	,	,	PUNCT
cana-3673	111	40	111	111	NUM
cana-3673	111	41	=	=	ADJ
cana-3673	111	42	(	(	PUNCT
cana-3673	111	43	23	23	NUM
cana-3673	111	44	)	)	PUNCT
cana-3673	111	45	(	(	PUNCT
cana-3673	111	46	)	)	PUNCT
cana-3673	111	47	(	(	PUNCT
cana-3673	111	48	)	)	PUNCT
cana-3673	111	49	zypzyp	zypzyp	PROPN
cana-3673	111	50	cos	cos	PROPN
cana-3673	111	51	,	,	PUNCT
cana-3673	111	52	111	111	NUM
cana-3673	111	53	=	=	SYM
cana-3673	111	54	(	(	PUNCT
cana-3673	111	55	24	24	NUM
cana-3673	111	56	)	)	PUNCT
cana-3673	111	57	using	use	VERB
cana-3673	111	58	equations	equation	NOUN
cana-3673	111	59	(	(	PUNCT
cana-3673	111	60	22	22	NUM
cana-3673	111	61	)	)	PUNCT
cana-3673	111	62	,	,	PUNCT
cana-3673	111	63	(	(	PUNCT
cana-3673	111	64	23	23	NUM
cana-3673	111	65	)	)	PUNCT
cana-3673	111	66	,	,	PUNCT
cana-3673	111	67	and	and	CCONJ
cana-3673	111	68	(	(	PUNCT
cana-3673	111	69	24	24	NUM
cana-3673	111	70	)	)	PUNCT
cana-3673	111	71	in	in	ADP
cana-3673	111	72	equations	equation	NOUN
cana-3673	111	73	(	(	PUNCT
cana-3673	111	74	17	17	NUM
cana-3673	111	75	)	)	PUNCT
cana-3673	111	76	and	and	CCONJ
cana-3673	111	77	(	(	PUNCT
cana-3673	111	78	18	18	NUM
cana-3673	111	79	)	)	PUNCT
cana-3673	111	80	and	and	CCONJ
cana-3673	111	81	eliminating	eliminate	VERB
cana-3673	111	82	the	the	DET
cana-3673	111	83	terms	term	NOUN
cana-3673	111	84	,	,	PUNCT
cana-3673	111	85	we	we	PRON
cana-3673	111	86	obtain	obtain	VERB
cana-3673	111	87	:	:	PUNCT
cana-3673	111	88	0	0	NUM
cana-3673	111	89	2	2	NUM
cana-3673	111	90	11	11	NUM
cana-3673	111	91	0	0	NUM
cana-3673	111	92	2	2	NUM
cana-3673	111	93	4112	4112	NUM
cana-3673	111	94	2	2	NUM
cana-3673	111	95	11	11	NUM
cana-3673	111	96	2	2	NUM
cana-3673	111	97	2	2	NUM
cana-3673	111	98	0	0	NUM
cana-3673	111	99	2	2	NUM
cana-3673	111	100	3	3	NUM
cana-3673	111	101	11	11	NUM
cana-3673	111	102	3	3	NUM
cana-3673	111	103	4	4	NUM
cana-3673	111	104	11	11	NUM
cana-3673	111	105	4	4	NUM
cana-3673	111	106	re2	re2	PROPN
cana-3673	111	107	1	1	NUM
cana-3673	111	108	re	re	ADP
cana-3673	111	109	k	k	PROPN
cana-3673	111	110	v	v	PROPN
cana-3673	111	111	kdy	kdy	PROPN
cana-3673	112	1	dv	dv	PROPN
cana-3673	112	2	dy	dy	PROPN
cana-3673	112	3	vd	vd	PROPN
cana-3673	113	1	k	k	PROPN
cana-3673	113	2	m	m	VERB
cana-3673	113	3	dy	dy	NOUN
cana-3673	113	4	vd	vd	X
cana-3673	113	5	dy	dy	X
cana-3673	113	6	vd	vd	NOUN
cana-3673	113	7			PROPN
cana-3673	113	8			NOUN
cana-3673	113	9	−=	−=	PROPN
cana-3673	113	10			PROPN
cana-3673	113	11			PROPN
cana-3673	114	1			PROPN
cana-3673	114	2			PROPN
cana-3673	114	3			PROPN
cana-3673	115	1			PROPN
cana-3673	115	2			NOUN
cana-3673	116	1	+	+	NOUN
cana-3673	116	2	+	+	NOUN
cana-3673	116	3	−	−	ADJ
cana-3673	116	4			PRON
cana-3673	116	5			NOUN
cana-3673	117	1			PROPN
cana-3673	117	2			PROPN
cana-3673	117	3			PROPN
cana-3673	118	1			PROPN
cana-3673	118	2			NOUN
cana-3673	119	1	+	+	PROPN
cana-3673	119	2	+	+	ADJ
cana-3673	119	3	−+	−+	PROPN
cana-3673	119	4	(	(	PUNCT
cana-3673	119	5	25	25	NUM
cana-3673	119	6	)	)	PUNCT
cana-3673	119	7	communications	communication	NOUN
cana-3673	119	8	on	on	ADP
cana-3673	119	9	applied	apply	VERB
cana-3673	119	10	nonlinear	nonlinear	ADJ
cana-3673	119	11	analysis	analysis	NOUN
cana-3673	119	12	issn	issn	NOUN
cana-3673	119	13	:	:	PUNCT
cana-3673	119	14	1074	1074	NUM
cana-3673	119	15	-	-	PUNCT
cana-3673	119	16	133x	133x	NUM
cana-3673	119	17	vol	vol	NOUN
cana-3673	119	18	32	32	NUM
cana-3673	119	19	no	no	NOUN
cana-3673	119	20	.	.	PUNCT
cana-3673	120	1	8s	8s	PROPN
cana-3673	120	2	(	(	PUNCT
cana-3673	120	3	2025	2025	NUM
cana-3673	120	4	)	)	PUNCT
cana-3673	120	5	315	315	NUM
cana-3673	120	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	120	7	the	the	DET
cana-3673	120	8	corresponding	corresponding	ADJ
cana-3673	120	9	boundary	boundary	ADJ
cana-3673	120	10	conditions	condition	NOUN
cana-3673	120	11	are	be	AUX
cana-3673	120	12	0	0	NUM
cana-3673	120	13	:	:	PUNCT
cana-3673	120	14	0,0:0	0,0:0	NUM
cana-3673	120	15	11	11	NUM
cana-3673	120	16	1111	1111	NUM
cana-3673	120	17	=	=	SYM
cana-3673	120	18	→	→	PUNCT
cana-3673	120	19	=	=	VERB
cana-3673	120	20	==	==	NOUN
cana-3673	120	21	vy	vy	X
cana-3673	120	22	vvy	vvy	NOUN
cana-3673	120	23	.	.	PUNCT
cana-3673	121	1	(	(	PUNCT
cana-3673	121	2	26	26	NUM
cana-3673	121	3	)	)	PUNCT
cana-3673	121	4	in	in	ADP
cana-3673	121	5	order	order	NOUN
cana-3673	121	6	to	to	PART
cana-3673	121	7	solve	solve	VERB
cana-3673	121	8	the	the	DET
cana-3673	121	9	differential	differential	ADJ
cana-3673	121	10	equations	equation	NOUN
cana-3673	121	11	(	(	PUNCT
cana-3673	121	12	16	16	NUM
cana-3673	121	13	)	)	PUNCT
cana-3673	121	14	,	,	PUNCT
cana-3673	121	15	(	(	PUNCT
cana-3673	121	16	19	19	NUM
cana-3673	121	17	)	)	PUNCT
cana-3673	121	18	,	,	PUNCT
cana-3673	121	19	and	and	CCONJ
cana-3673	121	20	(	(	PUNCT
cana-3673	121	21	20	20	NUM
cana-3673	121	22	)	)	PUNCT
cana-3673	121	23	for	for	ADP
cana-3673	121	24	u	u	NOUN
cana-3673	121	25	and	and	CCONJ
cana-3673	121	26	v	v	NOUN
cana-3673	121	27	,	,	PUNCT
cana-3673	121	28	respectively	respectively	ADV
cana-3673	121	29	,	,	PUNCT
cana-3673	121	30	the	the	DET
cana-3673	121	31	following	follow	VERB
cana-3673	121	32	assumptions	assumption	NOUN
cana-3673	121	33	are	be	AUX
cana-3673	121	34	made	make	VERB
cana-3673	121	35	:	:	PUNCT
cana-3673	121	36	zyuzyu	zyuzyu	PROPN
cana-3673	121	37	cos	co	NOUN
cana-3673	121	38	)	)	PUNCT
cana-3673	121	39	(	(	PUNCT
cana-3673	121	40	)	)	PUNCT
cana-3673	121	41	,	,	PUNCT
cana-3673	121	42	(	(	PUNCT
cana-3673	121	43	111	111	NUM
cana-3673	121	44	=	=	SYM
cana-3673	121	45	(	(	PUNCT
cana-3673	121	46	27	27	NUM
cana-3673	121	47	)	)	PUNCT
cana-3673	121	48	zyzy	zyzy	PROPN
cana-3673	121	49			PROPN
cana-3673	121	50	cos	cos	PROPN
cana-3673	121	51	)	)	PUNCT
cana-3673	121	52	(	(	PUNCT
cana-3673	121	53	)	)	PUNCT
cana-3673	121	54	,	,	PUNCT
cana-3673	121	55	(	(	PUNCT
cana-3673	121	56	111	111	NUM
cana-3673	121	57	=	=	SYM
cana-3673	121	58	(	(	PUNCT
cana-3673	121	59	28	28	NUM
cana-3673	121	60	)	)	PUNCT
cana-3673	121	61	zyzy	zyzy	NOUN
cana-3673	121	62			PUNCT
cana-3673	121	63	cos	cos	PROPN
cana-3673	121	64	)	)	PUNCT
cana-3673	121	65	(	(	PUNCT
cana-3673	121	66	)	)	PUNCT
cana-3673	121	67	,	,	PUNCT
cana-3673	121	68	(	(	PUNCT
cana-3673	121	69	111	111	NUM
cana-3673	121	70	=	=	NOUN
cana-3673	121	71	.	.	PUNCT
cana-3673	122	1	(	(	PUNCT
cana-3673	122	2	29	29	NUM
cana-3673	122	3	)	)	PUNCT
cana-3673	122	4	substituting	substitute	VERB
cana-3673	122	5	the	the	DET
cana-3673	122	6	above	above	ADJ
cana-3673	122	7	equations	equation	NOUN
cana-3673	122	8	in	in	ADP
cana-3673	122	9	(	(	PUNCT
cana-3673	122	10	16	16	NUM
cana-3673	122	11	)	)	PUNCT
cana-3673	122	12	,	,	PUNCT
cana-3673	122	13	(	(	PUNCT
cana-3673	122	14	19	19	NUM
cana-3673	122	15	)	)	PUNCT
cana-3673	122	16	and	and	CCONJ
cana-3673	122	17	(	(	PUNCT
cana-3673	122	18	20	20	NUM
cana-3673	122	19	)	)	PUNCT
cana-3673	122	20	,	,	PUNCT
cana-3673	122	21	the	the	DET
cana-3673	122	22	following	follow	VERB
cana-3673	122	23	equations	equation	NOUN
cana-3673	122	24	are	be	AUX
cana-3673	122	25	obtained	obtain	VERB
cana-3673	122	26	:	:	PUNCT
cana-3673	122	27	0	0	NUM
cana-3673	122	28	0	0	NUM
cana-3673	122	29	11	11	NUM
cana-3673	122	30	2	2	NUM
cana-3673	122	31	11	11	NUM
cana-3673	122	32	2	2	NUM
cana-3673	122	33	01111	01111	NUM
cana-3673	122	34	2	2	NUM
cana-3673	122	35	0	0	NUM
cana-3673	122	36	2	2	NUM
cana-3673	122	37	1111	1111	NUM
cana-3673	122	38	1	1	NUM
cana-3673	122	39	rerere	rerere	NOUN
cana-3673	122	40	1	1	NUM
cana-3673	122	41	re	re	ADP
cana-3673	122	42	k	k	PROPN
cana-3673	122	43	u	u	PROPN
cana-3673	122	44	gmgruvu	gmgruvu	VERB
cana-3673	122	45	k	k	PROPN
cana-3673	122	46	muu	muu	PROPN
cana-3673	123	1	−	−	PROPN
cana-3673	124	1	+	+	NOUN
cana-3673	124	2	−−−=	−−−=	PROPN
cana-3673	124	3			NOUN
cana-3673	124	4			NOUN
cana-3673	125	1			PROPN
cana-3673	125	2			PROPN
cana-3673	125	3			PROPN
cana-3673	126	1			PROPN
cana-3673	126	2			NOUN
cana-3673	127	1	+	+	PUNCT
cana-3673	127	2	+	+	PROPN
cana-3673	127	3	−+	−+	PART
cana-3673	127	4			NUM
cana-3673	127	5	(	(	PUNCT
cana-3673	127	6	30	30	NUM
cana-3673	127	7	)	)	PUNCT
cana-3673	127	8	01111	01111	NUM
cana-3673	127	9	2	2	NUM
cana-3673	127	10	1111	1111	NUM
cana-3673	127	11	prre)(prre	prre)(prre	NOUN
cana-3673	127	12			NOUN
cana-3673	127	13	−=−−+	−=−−+	ADV
cana-3673	127	14	vs	vs	ADP
cana-3673	127	15	(	(	PUNCT
cana-3673	127	16	31	31	NUM
cana-3673	127	17	)	)	PUNCT
cana-3673	127	18	01111	01111	NUM
cana-3673	127	19	2	2	NUM
cana-3673	127	20	1111	1111	NUM
cana-3673	127	21	re)re(re	re)re(re	PROPN
cana-3673	127	22			PROPN
cana-3673	127	23	−=+−+	−=+−+	NOUN
cana-3673	127	24	vscscchsc	vscscchsc	NOUN
cana-3673	127	25	(	(	PUNCT
cana-3673	127	26	32	32	NUM
cana-3673	127	27	)	)	PUNCT
cana-3673	127	28	with	with	ADP
cana-3673	127	29	corresponding	correspond	VERB
cana-3673	127	30	boundary	boundary	ADJ
cana-3673	127	31	conditions	condition	NOUN
cana-3673	128	1	0,0,0:0	0,0,0:0	ADP
cana-3673	128	2	111111	111111	NUM
cana-3673	128	3	=	=	SYM
cana-3673	128	4	=	=	SYM
cana-3673	128	5	=	=	SYM
cana-3673	128	6	=	=	SYM
cana-3673	128	7	uy	uy	PROPN
cana-3673	128	8	(	(	PUNCT
cana-3673	128	9	33	33	NUM
cana-3673	128	10	)	)	PUNCT
cana-3673	128	11	0,0,0	0,0,0	NOUN
cana-3673	128	12	:	:	PUNCT
cana-3673	128	13	111111	111111	NUM
cana-3673	128	14	→→→→	→→→→	PUNCT
cana-3673	128	15	uy	uy	PROPN
cana-3673	128	16	.	.	PUNCT
cana-3673	129	1	by	by	ADP
cana-3673	129	2	employing	employ	VERB
cana-3673	129	3	finite	finite	ADJ
cana-3673	129	4	difference	difference	NOUN
cana-3673	129	5	schemes	scheme	NOUN
cana-3673	129	6	in	in	ADP
cana-3673	129	7	equation	equation	NOUN
cana-3673	129	8	(	(	PUNCT
cana-3673	129	9	25	25	NUM
cana-3673	129	10	)	)	PUNCT
cana-3673	129	11	,	,	PUNCT
cana-3673	129	12	we	we	PRON
cana-3673	129	13	obtain	obtain	VERB
cana-3673	129	14	:	:	PUNCT
cana-3673	129	15	02)2()1()()1()2	02)2()1()()1()2	NUM
cana-3673	129	16	(	(	PUNCT
cana-3673	129	17	0	0	NUM
cana-3673	129	18	42	42	NUM
cana-3673	129	19	115114113112111	115114113112111	NUM
cana-3673	129	20	=	=	SYM
cana-3673	130	1	+	+	NOUN
cana-3673	130	2	−+−−++−+	−+−−++−+	NOUN
cana-3673	130	3	k	k	NOUN
cana-3673	130	4	h	h	NOUN
cana-3673	130	5	ivaivaivaivaiva	ivaivaivaivaiva	PROPN
cana-3673	130	6			PROPN
cana-3673	130	7	(	(	PUNCT
cana-3673	130	8	34	34	NUM
cana-3673	130	9	)	)	PUNCT
cana-3673	130	10	where	where	SCONJ
cana-3673	130	11	ha	ha	INTJ
cana-3673	130	12	re21	re21	PROPN
cana-3673	130	13	+	+	PROPN
cana-3673	130	14	=	=	SYM
cana-3673	130	15	,	,	PUNCT
cana-3673	130	16	232	232	NUM
cana-3673	130	17	0	0	NUM
cana-3673	130	18	22	22	NUM
cana-3673	130	19	2	2	NUM
cana-3673	130	20	re2	re2	PROPN
cana-3673	130	21	1	1	NUM
cana-3673	130	22	2re28	2re28	PROPN
cana-3673	130	23	+	+	SYM
cana-3673	130	24			PROPN
cana-3673	130	25			NOUN
cana-3673	130	26			PROPN
cana-3673	130	27			PROPN
cana-3673	130	28			PROPN
cana-3673	131	1			PROPN
cana-3673	131	2			NOUN
cana-3673	131	3	++++=	++++=	NUM
cana-3673	131	4	h	h	NOUN
cana-3673	131	5	k	k	PROPN
cana-3673	131	6	mhha	mhha	PROPN
cana-3673	131	7			PROPN
cana-3673	132	1			PROPN
cana-3673	132	2			NOUN
cana-3673	133	1			PROPN
cana-3673	133	2			PROPN
cana-3673	133	3			PROPN
cana-3673	134	1			PROPN
cana-3673	134	2			NOUN
cana-3673	134	3			PROPN
cana-3673	134	4	+	+	NOUN
cana-3673	134	5	+	+	SYM
cana-3673	134	6			PRON
cana-3673	134	7			NOUN
cana-3673	135	1			PROPN
cana-3673	135	2			PROPN
cana-3673	135	3			PROPN
cana-3673	136	1			PROPN
cana-3673	136	2			NOUN
cana-3673	136	3	+++=	+++=	NOUN
cana-3673	136	4	0	0	NUM
cana-3673	136	5	2	2	NUM
cana-3673	136	6	442	442	NUM
cana-3673	136	7	0	0	NUM
cana-3673	136	8	22	22	NUM
cana-3673	136	9	3	3	NUM
cana-3673	136	10	22	22	NUM
cana-3673	136	11	1	1	NUM
cana-3673	136	12	412	412	NUM
cana-3673	136	13	k	k	NOUN
cana-3673	136	14	h	h	NOUN
cana-3673	137	1	k	k	PROPN
cana-3673	137	2	mha	mha	PROPN
cana-3673	137	3	232	232	NUM
cana-3673	137	4	0	0	NUM
cana-3673	137	5	22	22	NUM
cana-3673	137	6	4	4	NUM
cana-3673	137	7	re2	re2	PROPN
cana-3673	137	8	1	1	NUM
cana-3673	137	9	2re28	2re28	PROPN
cana-3673	137	10	−	−	NOUN
cana-3673	137	11			PROPN
cana-3673	137	12			NOUN
cana-3673	137	13			PROPN
cana-3673	137	14			PROPN
cana-3673	137	15			PROPN
cana-3673	138	1			PROPN
cana-3673	138	2			NOUN
cana-3673	138	3	+++−=	+++−=	PUNCT
cana-3673	139	1	h	h	NOUN
cana-3673	140	1	k	k	PROPN
cana-3673	140	2	mhha	mhha	PROPN
cana-3673	140	3	,	,	PUNCT
cana-3673	140	4	ha	ha	INTJ
cana-3673	140	5	re25	re25	PROPN
cana-3673	140	6	−=	−=	VERB
cana-3673	140	7	.	.	PUNCT
cana-3673	141	1	by	by	ADP
cana-3673	141	2	applying	apply	VERB
cana-3673	141	3	finite	finite	ADJ
cana-3673	141	4	difference	difference	NOUN
cana-3673	141	5	schemes	scheme	NOUN
cana-3673	141	6	to	to	ADP
cana-3673	141	7	equations	equation	NOUN
cana-3673	141	8	(	(	PUNCT
cana-3673	141	9	30	30	NUM
cana-3673	141	10	)	)	PUNCT
cana-3673	141	11	to	to	ADP
cana-3673	141	12	(	(	PUNCT
cana-3673	141	13	32	32	NUM
cana-3673	141	14	)	)	PUNCT
cana-3673	141	15	,	,	PUNCT
cana-3673	141	16	we	we	PRON
cana-3673	141	17	obtain	obtain	VERB
cana-3673	141	18	the	the	DET
cana-3673	141	19	following	follow	VERB
cana-3673	141	20	equations	equation	NOUN
cana-3673	141	21	)	)	PUNCT
cana-3673	141	22	(	(	PUNCT
cana-3673	141	23	)	)	PUNCT
cana-3673	141	24	1()()1	1()()1	PROPN
cana-3673	141	25	(	(	PUNCT
cana-3673	141	26	115111111	115111111	NUM
cana-3673	141	27	ibiuaiubiua	ibiuaiubiua	NOUN
cana-3673	141	28	=	=	SYM
cana-3673	141	29	−+−+	−+−+	X
cana-3673	141	30	(	(	PUNCT
cana-3673	141	31	35	35	NUM
cana-3673	141	32	)	)	PUNCT
cana-3673	141	33	)	)	PUNCT
cana-3673	141	34	(	(	PUNCT
cana-3673	141	35	)	)	PUNCT
cana-3673	141	36	1()()1	1()()1	PROPN
cana-3673	141	37	(	(	PUNCT
cana-3673	141	38	113112111	113112111	NUM
cana-3673	141	39	idididid	idididid	VERB
cana-3673	141	40	=	=	SYM
cana-3673	141	41	−+−+	−+−+	X
cana-3673	141	42			X
cana-3673	141	43	(	(	PUNCT
cana-3673	141	44	36	36	NUM
cana-3673	141	45	)	)	PUNCT
cana-3673	141	46	)	)	PUNCT
cana-3673	141	47	(	(	PUNCT
cana-3673	141	48	)	)	PUNCT
cana-3673	141	49	1()()1	1()()1	PROPN
cana-3673	141	50	(	(	PUNCT
cana-3673	141	51	321	321	NUM
cana-3673	141	52	ieieieie	ieieieie	NOUN
cana-3673	141	53	=	=	NOUN
cana-3673	141	54	−+−+	−+−+	X
cana-3673	141	55			ADJ
cana-3673	141	56	(	(	PUNCT
cana-3673	141	57	37	37	NUM
cana-3673	141	58	)	)	PUNCT
cana-3673	141	59	where	where	SCONJ
cana-3673	141	60	randaa	randaa	NOUN
cana-3673	141	61	1051	1051	NUM
cana-3673	141	62	,	,	PUNCT
cana-3673	141	63	,	,	PUNCT
cana-3673	141	64	,	,	PUNCT
cana-3673	141	65			NOUN
cana-3673	141	66	have	have	AUX
cana-3673	141	67	already	already	ADV
cana-3673	141	68	been	be	AUX
cana-3673	141	69	defined	define	VERB
cana-3673	141	70	and	and	CCONJ
cana-3673	141	71	communications	communication	NOUN
cana-3673	141	72	on	on	ADP
cana-3673	141	73	applied	apply	VERB
cana-3673	141	74	nonlinear	nonlinear	ADJ
cana-3673	141	75	analysis	analysis	NOUN
cana-3673	141	76	issn	issn	NOUN
cana-3673	141	77	:	:	PUNCT
cana-3673	141	78	1074	1074	NUM
cana-3673	141	79	-	-	PUNCT
cana-3673	141	80	133x	133x	NUM
cana-3673	141	81	vol	vol	NOUN
cana-3673	141	82	32	32	NUM
cana-3673	141	83	no	no	NOUN
cana-3673	141	84	.	.	PUNCT
cana-3673	142	1	8s	8s	PROPN
cana-3673	142	2	(	(	PUNCT
cana-3673	142	3	2025	2025	NUM
cana-3673	142	4	)	)	PUNCT
cana-3673	142	5	316	316	NUM
cana-3673	142	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	142	7	hd	hd	NOUN
cana-3673	142	8	prre21	prre21	VERB
cana-3673	142	9	+	+	PROPN
cana-3673	143	1	=	=	SYM
cana-3673	143	2	,	,	PUNCT
cana-3673	143	3	22	22	NUM
cana-3673	143	4	2	2	NUM
cana-3673	143	5	)	)	PUNCT
cana-3673	143	6	(	(	PUNCT
cana-3673	143	7	24	24	NUM
cana-3673	143	8	hsd	hsd	NOUN
cana-3673	143	9	−+=	−+=	X
cana-3673	143	10			PROPN
cana-3673	143	11	,	,	PUNCT
cana-3673	143	12	hd	hd	NOUN
cana-3673	143	13	prre23	prre23	NOUN
cana-3673	143	14	−=	−=	PUNCT
cana-3673	143	15	)	)	PUNCT
cana-3673	143	16	,	,	PUNCT
cana-3673	143	17	re(24	re(24	PROPN
cana-3673	143	18	22	22	NUM
cana-3673	143	19	2	2	NUM
cana-3673	143	20	scchhe	scchhe	VERB
cana-3673	143	21	+	+	PROPN
cana-3673	143	22	+	+	NOUN
cana-3673	143	23	=	=	ADJ
cana-3673	143	24			ADJ
cana-3673	143	25	ih	ih	NOUN
cana-3673	143	26	r	r	NOUN
cana-3673	143	27	eivphid	eivphid	NOUN
cana-3673	143	28	prre	prre	PROPN
cana-3673	143	29	11	11	NUM
cana-3673	143	30	2	2	NUM
cana-3673	143	31	)	)	PUNCT
cana-3673	143	32	(	(	PUNCT
cana-3673	143	33	)	)	PUNCT
cana-3673	143	34	re(2	re(2	NOUN
cana-3673	143	35	)	)	PUNCT
cana-3673	143	36	(	(	PUNCT
cana-3673	143	37	−=	−=	NOUN
cana-3673	143	38	,	,	PUNCT
cana-3673	143	39	sche	sche	NOUN
cana-3673	144	1	re21	re21	PROPN
cana-3673	144	2	+	+	PROPN
cana-3673	145	1	=	=	NOUN
cana-3673	145	2	,	,	PUNCT
cana-3673	145	3	hsce	hsce	ADP
cana-3673	145	4	re23	re23	PROPN
cana-3673	145	5	−=	−=	VERB
cana-3673	145	6	ihsceivschie	ihsceivschie	ADP
cana-3673	145	7	re	re	NUM
cana-3673	145	8	11	11	NUM
cana-3673	145	9	2	2	NUM
cana-3673	145	10	)	)	PUNCT
cana-3673	145	11	(	(	PUNCT
cana-3673	145	12	)	)	PUNCT
cana-3673	145	13	re(2	re(2	NOUN
cana-3673	145	14	)	)	PUNCT
cana-3673	145	15	(	(	PUNCT
cana-3673	145	16	−=	−=	NOUN
cana-3673	145	17	,	,	PUNCT
cana-3673	145	18			PROPN
cana-3673	145	19			PROPN
cana-3673	145	20			NOUN
cana-3673	146	1			NOUN
cana-3673	146	2			PROPN
cana-3673	146	3			PROPN
cana-3673	147	1			PROPN
cana-3673	147	2			NOUN
cana-3673	148	1	+	+	PROPN
cana-3673	148	2	+	+	ADJ
cana-3673	148	3	+	+	NOUN
cana-3673	148	4	=	=	SYM
cana-3673	148	5	2	2	NUM
cana-3673	148	6	0	0	NUM
cana-3673	148	7	22	22	NUM
cana-3673	148	8	1	1	NUM
cana-3673	148	9	1	1	NUM
cana-3673	148	10	24	24	NUM
cana-3673	148	11			PROPN
cana-3673	148	12	k	k	PROPN
cana-3673	148	13	mhb	mhb	PROPN
cana-3673	148	14	(	(	PUNCT
cana-3673	148	15	)	)	PUNCT
cana-3673	148	16	)	)	PUNCT
cana-3673	148	17	(	(	PUNCT
cana-3673	148	18	2	2	X
cana-3673	148	19	)	)	PUNCT
cana-3673	148	20	(	(	PUNCT
cana-3673	148	21	)	)	PUNCT
cana-3673	148	22	(	(	PUNCT
cana-3673	148	23	re)(2	re)(2	NOUN
cana-3673	148	24	)	)	PUNCT
cana-3673	148	25	(	(	PUNCT
cana-3673	148	26	)	)	PUNCT
cana-3673	148	27	(	(	PUNCT
cana-3673	148	28	)	)	PUNCT
cana-3673	148	29	(	(	PUNCT
cana-3673	148	30	3	3	NUM
cana-3673	148	31	0	0	NUM
cana-3673	148	32	2	2	NUM
cana-3673	148	33	2	2	NUM
cana-3673	148	34	211	211	NUM
cana-3673	148	35	ib	ib	NOUN
cana-3673	148	36	k	k	PROPN
cana-3673	148	37	h	h	PROPN
cana-3673	148	38	igmigrhibivrib	igmigrhibivrib	PROPN
cana-3673	149	1	e	e	PROPN
cana-3673	149	2	+	+	PROPN
cana-3673	149	3	+	+	ADJ
cana-3673	149	4	−−=	−−=	NOUN
cana-3673	149	5			NOUN
cana-3673	149	6	(	(	PUNCT
cana-3673	149	7	)	)	PUNCT
cana-3673	149	8	ihrihscih	ihrihscih	NOUN
cana-3673	149	9	egmgrrscegmegrib	egmgrrscegmegrib	NOUN
cana-3673	149	10	−−−	−−−	NOUN
cana-3673	150	1	−+−+=	−+−+=	NUM
cana-3673	150	2	1reprre	1reprre	NUM
cana-3673	150	3	)	)	PUNCT
cana-3673	150	4	(	(	PUNCT
cana-3673	150	5	10	10	NUM
cana-3673	150	6	re	re	NOUN
cana-3673	150	7	1	1	NUM
cana-3673	150	8	prre	prre	PROPN
cana-3673	150	9	02	02	NUM
cana-3673	150	10			PROPN
cana-3673	150	11	(	(	PUNCT
cana-3673	150	12	)	)	PUNCT
cana-3673	150	13	ihrihscih	ihrihscih	NOUN
cana-3673	150	14	egmgregmegrib	egmgregmegrib	PROPN
cana-3673	150	15	−−−	−−−	PUNCT
cana-3673	150	16	−++−−=	−++−−=	PROPN
cana-3673	150	17	1	1	NUM
cana-3673	150	18	)	)	PUNCT
cana-3673	150	19	(	(	PUNCT
cana-3673	150	20	10	10	NUM
cana-3673	150	21	re	re	NOUN
cana-3673	150	22	1	1	NUM
cana-3673	150	23	prre	prre	NOUN
cana-3673	150	24	03	03	NUM
cana-3673	150	25			PROPN
cana-3673	150	26	.	.	PUNCT
cana-3673	151	1	equations	equation	NOUN
cana-3673	151	2	(	(	PUNCT
cana-3673	151	3	34	34	NUM
cana-3673	151	4	)	)	PUNCT
cana-3673	151	5	,	,	PUNCT
cana-3673	151	6	(	(	PUNCT
cana-3673	151	7	35	35	NUM
cana-3673	151	8	)	)	PUNCT
cana-3673	151	9	,	,	PUNCT
cana-3673	151	10	(	(	PUNCT
cana-3673	151	11	36	36	NUM
cana-3673	151	12	)	)	PUNCT
cana-3673	151	13	,	,	PUNCT
cana-3673	151	14	and	and	CCONJ
cana-3673	151	15	(	(	PUNCT
cana-3673	151	16	37	37	NUM
cana-3673	151	17	)	)	PUNCT
cana-3673	151	18	have	have	AUX
cana-3673	151	19	been	be	AUX
cana-3673	151	20	solved	solve	VERB
cana-3673	151	21	using	use	VERB
cana-3673	151	22	the	the	DET
cana-3673	151	23	gauss	gauss	ADJ
cana-3673	151	24	-	-	PUNCT
cana-3673	151	25	seidel	seidel	PROPN
cana-3673	151	26	iteration	iteration	NOUN
cana-3673	151	27	method	method	NOUN
cana-3673	151	28	,	,	PUNCT
cana-3673	151	29	with	with	ADP
cana-3673	151	30	the	the	DET
cana-3673	151	31	numerical	numerical	PROPN
cana-3673	151	32	code	code	PROPN
cana-3673	151	33	implemented	implement	VERB
cana-3673	151	34	in	in	ADP
cana-3673	151	35	c.	c.	NOUN
cana-3673	151	36	to	to	PART
cana-3673	151	37	verify	verify	VERB
cana-3673	151	38	the	the	DET
cana-3673	151	39	convergence	convergence	NOUN
cana-3673	151	40	of	of	ADP
cana-3673	151	41	the	the	DET
cana-3673	151	42	finite	finite	ADJ
cana-3673	151	43	difference	difference	NOUN
cana-3673	151	44	scheme	scheme	NOUN
cana-3673	151	45	,	,	PUNCT
cana-3673	151	46	computations	computation	NOUN
cana-3673	151	47	were	be	AUX
cana-3673	151	48	carried	carry	VERB
cana-3673	151	49	out	out	ADP
cana-3673	151	50	for	for	ADP
cana-3673	151	51	a	a	DET
cana-3673	151	52	slightly	slightly	ADV
cana-3673	151	53	altered	alter	VERB
cana-3673	151	54	value	value	NOUN
cana-3673	151	55	of	of	ADP
cana-3673	151	56	h	h	NOUN
cana-3673	151	57	,	,	PUNCT
cana-3673	151	58	and	and	CCONJ
cana-3673	151	59	the	the	DET
cana-3673	151	60	iterations	iteration	NOUN
cana-3673	151	61	continued	continue	VERB
cana-3673	151	62	until	until	SCONJ
cana-3673	151	63	a	a	DET
cana-3673	151	64	specified	specified	ADJ
cana-3673	151	65	tolerance	tolerance	NOUN
cana-3673	151	66	810−	810−	NOUN
cana-3673	151	67	was	be	AUX
cana-3673	151	68	reached	reach	VERB
cana-3673	151	69	.	.	PUNCT
cana-3673	152	1	no	no	DET
cana-3673	152	2	significant	significant	ADJ
cana-3673	152	3	changes	change	NOUN
cana-3673	152	4	were	be	AUX
cana-3673	152	5	observed	observe	VERB
cana-3673	152	6	in	in	ADP
cana-3673	152	7	the	the	DET
cana-3673	152	8	numerical	numerical	ADJ
cana-3673	152	9	values	value	NOUN
cana-3673	152	10	of	of	ADP
cana-3673	152	11	the	the	DET
cana-3673	152	12	velocity	velocity	NOUN
cana-3673	152	13	and	and	CCONJ
cana-3673	152	14	temperature	temperature	NOUN
cana-3673	152	15	profiles	profile	NOUN
cana-3673	152	16	.	.	PUNCT
cana-3673	153	1	therefore	therefore	ADV
cana-3673	153	2	,	,	PUNCT
cana-3673	153	3	it	it	PRON
cana-3673	153	4	is	be	AUX
cana-3673	153	5	concluded	conclude	VERB
cana-3673	153	6	that	that	SCONJ
cana-3673	153	7	the	the	DET
cana-3673	153	8	finite	finite	ADJ
cana-3673	153	9	difference	difference	NOUN
cana-3673	153	10	scheme	scheme	NOUN
cana-3673	153	11	is	be	AUX
cana-3673	153	12	both	both	PRON
cana-3673	153	13	convergent	convergent	ADJ
cana-3673	153	14	and	and	CCONJ
cana-3673	153	15	stable	stable	ADJ
cana-3673	153	16	.	.	PUNCT
cana-3673	154	1	results	result	NOUN
cana-3673	154	2	and	and	CCONJ
cana-3673	154	3	discussion	discussion	NOUN
cana-3673	154	4	:	:	PUNCT
cana-3673	154	5	to	to	PART
cana-3673	154	6	gain	gain	VERB
cana-3673	154	7	physical	physical	ADJ
cana-3673	154	8	insight	insight	NOUN
cana-3673	154	9	into	into	ADP
cana-3673	154	10	the	the	DET
cana-3673	154	11	problem	problem	NOUN
cana-3673	154	12	,	,	PUNCT
cana-3673	154	13	the	the	DET
cana-3673	154	14	three	three	NUM
cana-3673	154	15	-	-	PUNCT
cana-3673	154	16	dimensional	dimensional	ADJ
cana-3673	154	17	free	free	ADJ
cana-3673	154	18	-	-	PUNCT
cana-3673	154	19	convection	convection	NOUN
cana-3673	154	20	flow	flow	NOUN
cana-3673	154	21	of	of	ADP
cana-3673	154	22	a	a	DET
cana-3673	154	23	viscous	viscous	ADJ
cana-3673	154	24	incompressible	incompressible	ADJ
cana-3673	154	25	fluid	fluid	NOUN
cana-3673	154	26	between	between	ADP
cana-3673	154	27	two	two	NUM
cana-3673	154	28	infinite	infinite	ADJ
cana-3673	154	29	horizontal	horizontal	ADJ
cana-3673	154	30	parallel	parallel	ADJ
cana-3673	154	31	porous	porous	ADJ
cana-3673	154	32	flat	flat	ADJ
cana-3673	154	33	plates	plate	NOUN
cana-3673	154	34	with	with	ADP
cana-3673	154	35	a	a	DET
cana-3673	154	36	heat	heat	NOUN
cana-3673	154	37	source	source	NOUN
cana-3673	154	38	is	be	AUX
cana-3673	154	39	solved	solve	VERB
cana-3673	154	40	approximately	approximately	ADV
cana-3673	154	41	using	use	VERB
cana-3673	154	42	finite	finite	ADJ
cana-3673	154	43	difference	difference	NOUN
cana-3673	154	44	and	and	CCONJ
cana-3673	154	45	perturbation	perturbation	NOUN
cana-3673	154	46	methods	method	NOUN
cana-3673	154	47	.	.	PUNCT
cana-3673	155	1	the	the	DET
cana-3673	155	2	effects	effect	NOUN
cana-3673	155	3	of	of	ADP
cana-3673	155	4	the	the	DET
cana-3673	155	5	key	key	ADJ
cana-3673	155	6	controlling	control	VERB
cana-3673	155	7	parameters	parameter	NOUN
cana-3673	155	8	,	,	PUNCT
cana-3673	155	9	which	which	PRON
cana-3673	155	10	appear	appear	VERB
cana-3673	155	11	in	in	ADP
cana-3673	155	12	the	the	DET
cana-3673	155	13	governing	govern	VERB
cana-3673	155	14	equations	equation	NOUN
cana-3673	155	15	,	,	PUNCT
cana-3673	155	16	are	be	AUX
cana-3673	155	17	discussed	discuss	VERB
cana-3673	155	18	graphically	graphically	ADV
cana-3673	155	19	in	in	ADP
cana-3673	155	20	the	the	DET
cana-3673	155	21	context	context	NOUN
cana-3673	155	22	of	of	ADP
cana-3673	155	23	the	the	DET
cana-3673	155	24	heat	heat	NOUN
cana-3673	155	25	source	source	NOUN
cana-3673	155	26	.	.	PUNCT
cana-3673	156	1	figure	figure	NOUN
cana-3673	156	2	(	(	PUNCT
cana-3673	156	3	1	1	X
cana-3673	156	4	)	)	PUNCT
cana-3673	156	5	illustrates	illustrate	VERB
cana-3673	156	6	the	the	DET
cana-3673	156	7	effect	effect	NOUN
cana-3673	156	8	of	of	ADP
cana-3673	156	9	the	the	DET
cana-3673	156	10	magnetic	magnetic	ADJ
cana-3673	156	11	parameter	parameter	NOUN
cana-3673	156	12	m	m	PROPN
cana-3673	156	13	on	on	ADP
cana-3673	156	14	the	the	DET
cana-3673	156	15	velocity	velocity	NOUN
cana-3673	156	16	field	field	NOUN
cana-3673	156	17	u	u	NOUN
cana-3673	156	18	in	in	ADP
cana-3673	156	19	the	the	DET
cana-3673	156	20	presence	presence	NOUN
cana-3673	156	21	of	of	ADP
cana-3673	156	22	a	a	DET
cana-3673	156	23	heat	heat	NOUN
cana-3673	156	24	source	source	NOUN
cana-3673	156	25	.	.	PUNCT
cana-3673	157	1	from	from	ADP
cana-3673	157	2	the	the	DET
cana-3673	157	3	figure	figure	NOUN
cana-3673	157	4	,	,	PUNCT
cana-3673	157	5	it	it	PRON
cana-3673	157	6	is	be	AUX
cana-3673	157	7	observed	observe	VERB
cana-3673	157	8	that	that	SCONJ
cana-3673	157	9	increasing	increase	VERB
cana-3673	157	10	values	value	NOUN
cana-3673	157	11	of	of	ADP
cana-3673	157	12	the	the	DET
cana-3673	157	13	magnetic	magnetic	ADJ
cana-3673	157	14	parameter	parameter	NOUN
cana-3673	157	15	lead	lead	VERB
cana-3673	157	16	to	to	ADP
cana-3673	157	17	a	a	DET
cana-3673	157	18	decrease	decrease	NOUN
cana-3673	157	19	in	in	ADP
cana-3673	157	20	the	the	DET
cana-3673	157	21	flow	flow	NOUN
cana-3673	157	22	velocity	velocity	NOUN
cana-3673	157	23	due	due	ADP
cana-3673	157	24	to	to	ADP
cana-3673	157	25	the	the	DET
cana-3673	157	26	lorentz	lorentz	PROPN
cana-3673	157	27	force	force	NOUN
cana-3673	157	28	,	,	PUNCT
cana-3673	157	29	which	which	PRON
cana-3673	157	30	acts	act	VERB
cana-3673	157	31	in	in	ADP
cana-3673	157	32	opposition	opposition	NOUN
cana-3673	157	33	to	to	ADP
cana-3673	157	34	the	the	DET
cana-3673	157	35	flow	flow	NOUN
cana-3673	157	36	when	when	SCONJ
cana-3673	157	37	the	the	DET
cana-3673	157	38	magnetic	magnetic	ADJ
cana-3673	157	39	field	field	NOUN
cana-3673	157	40	is	be	AUX
cana-3673	157	41	applied	apply	VERB
cana-3673	157	42	perpendicular	perpendicular	ADJ
cana-3673	157	43	to	to	ADP
cana-3673	157	44	the	the	DET
cana-3673	157	45	fluid	fluid	ADJ
cana-3673	157	46	flow	flow	NOUN
cana-3673	157	47	.	.	PUNCT
cana-3673	158	1	this	this	DET
cana-3673	158	2	resistive	resistive	ADJ
cana-3673	158	3	force	force	NOUN
cana-3673	158	4	slows	slow	VERB
cana-3673	158	5	down	down	ADP
cana-3673	158	6	the	the	DET
cana-3673	158	7	flow	flow	NOUN
cana-3673	158	8	,	,	PUNCT
cana-3673	158	9	thereby	thereby	ADV
cana-3673	158	10	reducing	reduce	VERB
cana-3673	158	11	the	the	DET
cana-3673	158	12	velocity	velocity	NOUN
cana-3673	158	13	in	in	ADP
cana-3673	158	14	the	the	DET
cana-3673	158	15	field	field	NOUN
cana-3673	158	16	.	.	PUNCT
cana-3673	159	1	figure	figure	NOUN
cana-3673	159	2	(	(	PUNCT
cana-3673	159	3	2	2	NUM
cana-3673	159	4	)	)	PUNCT
cana-3673	159	5	shows	show	VERB
cana-3673	159	6	that	that	SCONJ
cana-3673	159	7	an	an	DET
cana-3673	159	8	increase	increase	NOUN
cana-3673	159	9	in	in	ADP
cana-3673	159	10	the	the	DET
cana-3673	159	11	cross	cross	ADJ
cana-3673	159	12	-	-	ADJ
cana-3673	159	13	flow	flow	ADJ
cana-3673	159	14	reynolds	reynold	NOUN
cana-3673	159	15	number	number	NOUN
cana-3673	159	16	results	result	VERB
cana-3673	159	17	in	in	ADP
cana-3673	159	18	an	an	DET
cana-3673	159	19	increase	increase	NOUN
cana-3673	159	20	in	in	ADP
cana-3673	159	21	the	the	DET
cana-3673	159	22	velocity	velocity	NOUN
cana-3673	159	23	of	of	ADP
cana-3673	159	24	the	the	DET
cana-3673	159	25	flow	flow	NOUN
cana-3673	159	26	.	.	PUNCT
cana-3673	160	1	additionally	additionally	ADV
cana-3673	160	2	,	,	PUNCT
cana-3673	160	3	it	it	PRON
cana-3673	160	4	is	be	AUX
cana-3673	160	5	observed	observe	VERB
cana-3673	160	6	that	that	SCONJ
cana-3673	160	7	in	in	ADP
cana-3673	160	8	the	the	DET
cana-3673	160	9	presence	presence	NOUN
cana-3673	160	10	of	of	ADP
cana-3673	160	11	a	a	DET
cana-3673	160	12	heat	heat	NOUN
cana-3673	160	13	source	source	NOUN
cana-3673	160	14	,	,	PUNCT
cana-3673	160	15	the	the	DET
cana-3673	160	16	fluid	fluid	ADJ
cana-3673	160	17	velocity	velocity	NOUN
cana-3673	160	18	increases	increase	NOUN
cana-3673	160	19	because	because	SCONJ
cana-3673	160	20	the	the	DET
cana-3673	160	21	heat	heat	NOUN
cana-3673	160	22	source	source	NOUN
cana-3673	160	23	in	in	ADP
cana-3673	160	24	an	an	DET
cana-3673	160	25	electrically	electrically	ADV
cana-3673	160	26	conducting	conduct	VERB
cana-3673	160	27	fluid	fluid	NOUN
cana-3673	160	28	generates	generate	VERB
cana-3673	160	29	internal	internal	ADJ
cana-3673	160	30	heat	heat	NOUN
cana-3673	160	31	.	.	PUNCT
cana-3673	161	1	in	in	ADP
cana-3673	161	2	figure	figure	NOUN
cana-3673	161	3	(	(	PUNCT
cana-3673	161	4	4	4	NUM
cana-3673	161	5	)	)	PUNCT
cana-3673	161	6	,	,	PUNCT
cana-3673	161	7	the	the	DET
cana-3673	161	8	effect	effect	NOUN
cana-3673	161	9	of	of	ADP
cana-3673	161	10	the	the	DET
cana-3673	161	11	free	free	ADJ
cana-3673	161	12	convection	convection	NOUN
cana-3673	161	13	parameter	parameter	NOUN
cana-3673	161	14	gr	gr	NOUN
cana-3673	161	15	on	on	ADP
cana-3673	161	16	the	the	DET
cana-3673	161	17	velocity	velocity	NOUN
cana-3673	161	18	field	field	NOUN
cana-3673	161	19	u	u	NOUN
cana-3673	161	20	is	be	AUX
cana-3673	161	21	displayed	display	VERB
cana-3673	161	22	by	by	ADP
cana-3673	161	23	the	the	DET
cana-3673	161	24	curves	curve	NOUN
cana-3673	161	25	,	,	PUNCT
cana-3673	161	26	both	both	CCONJ
cana-3673	161	27	with	with	ADP
cana-3673	161	28	and	and	CCONJ
cana-3673	161	29	without	without	ADP
cana-3673	161	30	the	the	DET
cana-3673	161	31	heat	heat	NOUN
cana-3673	161	32	source	source	NOUN
cana-3673	161	33	.	.	PUNCT
cana-3673	162	1	it	it	PRON
cana-3673	162	2	is	be	AUX
cana-3673	162	3	observed	observe	VERB
cana-3673	162	4	that	that	SCONJ
cana-3673	162	5	an	an	DET
cana-3673	162	6	increase	increase	NOUN
cana-3673	162	7	in	in	ADP
cana-3673	162	8	the	the	DET
cana-3673	162	9	grashof	grashof	ADJ
cana-3673	162	10	number	number	NOUN
cana-3673	162	11	gr	gr	NOUN
cana-3673	162	12	leads	lead	VERB
cana-3673	162	13	to	to	ADP
cana-3673	162	14	an	an	DET
cana-3673	162	15	increase	increase	NOUN
cana-3673	162	16	in	in	ADP
cana-3673	162	17	velocity	velocity	NOUN
cana-3673	162	18	.	.	PUNCT
cana-3673	163	1	this	this	PRON
cana-3673	163	2	is	be	AUX
cana-3673	163	3	because	because	SCONJ
cana-3673	163	4	a	a	DET
cana-3673	163	5	higher	high	ADJ
cana-3673	163	6	thermal	thermal	ADJ
cana-3673	163	7	grashof	grashof	ADJ
cana-3673	163	8	number	number	NOUN
cana-3673	163	9	enhances	enhance	VERB
cana-3673	163	10	the	the	DET
cana-3673	163	11	thermal	thermal	ADJ
cana-3673	163	12	buoyancy	buoyancy	NOUN
cana-3673	163	13	effect	effect	NOUN
cana-3673	163	14	,	,	PUNCT
cana-3673	163	15	which	which	PRON
cana-3673	163	16	in	in	ADP
cana-3673	163	17	turn	turn	NOUN
cana-3673	163	18	raises	raise	VERB
cana-3673	163	19	the	the	DET
cana-3673	163	20	flow	flow	NOUN
cana-3673	163	21	velocity	velocity	NOUN
cana-3673	163	22	.	.	PUNCT
cana-3673	164	1	furthermore	furthermore	ADV
cana-3673	164	2	,	,	PUNCT
cana-3673	164	3	it	it	PRON
cana-3673	164	4	is	be	AUX
cana-3673	164	5	noteworthy	noteworthy	ADJ
cana-3673	164	6	that	that	SCONJ
cana-3673	164	7	the	the	DET
cana-3673	164	8	fluid	fluid	ADJ
cana-3673	164	9	velocity	velocity	NOUN
cana-3673	164	10	increases	increase	NOUN
cana-3673	164	11	when	when	SCONJ
cana-3673	164	12	the	the	DET
cana-3673	164	13	heat	heat	NOUN
cana-3673	164	14	source	source	NOUN
cana-3673	164	15	parameter	parameter	NOUN
cana-3673	164	16	is	be	AUX
cana-3673	164	17	present	present	ADJ
cana-3673	164	18	.	.	PUNCT
cana-3673	165	1	figure	figure	NOUN
cana-3673	165	2	(	(	PUNCT
cana-3673	165	3	3	3	NUM
cana-3673	165	4	)	)	PUNCT
cana-3673	165	5	illustrates	illustrate	VERB
cana-3673	165	6	the	the	DET
cana-3673	165	7	effect	effect	NOUN
cana-3673	165	8	of	of	ADP
cana-3673	165	9	the	the	DET
cana-3673	165	10	heat	heat	NOUN
cana-3673	165	11	source	source	NOUN
cana-3673	165	12	parameter	parameter	NOUN
cana-3673	165	13	s	s	PROPN
cana-3673	165	14	on	on	ADP
cana-3673	165	15	the	the	DET
cana-3673	165	16	velocity	velocity	NOUN
cana-3673	165	17	field	field	NOUN
cana-3673	165	18	u	u	NOUN
cana-3673	165	19	,	,	PUNCT
cana-3673	165	20	while	while	SCONJ
cana-3673	165	21	figure	figure	NOUN
cana-3673	165	22	(	(	PUNCT
cana-3673	165	23	6	6	NUM
cana-3673	165	24	)	)	PUNCT
cana-3673	165	25	shows	show	VERB
cana-3673	165	26	the	the	DET
cana-3673	165	27	temperature	temperature	NOUN
cana-3673	165	28	profile	profile	NOUN
cana-3673	165	29	(	(	PUNCT
cana-3673	165	30	𝝷	𝝷	X
cana-3673	165	31	)	)	PUNCT
cana-3673	165	32	for	for	ADP
cana-3673	165	33	different	different	ADJ
cana-3673	165	34	values	value	NOUN
cana-3673	165	35	of	of	ADP
cana-3673	165	36	reynolds	reynolds	PROPN
cana-3673	165	37	number	number	NOUN
cana-3673	165	38	(	(	PUNCT
cana-3673	165	39	re	re	NOUN
cana-3673	165	40	)	)	PUNCT
cana-3673	165	41	in	in	ADP
cana-3673	165	42	the	the	DET
cana-3673	165	43	presence	presence	NOUN
cana-3673	165	44	of	of	ADP
cana-3673	165	45	a	a	DET
cana-3673	165	46	heat	heat	NOUN
cana-3673	165	47	source	source	NOUN
cana-3673	165	48	.	.	PUNCT
cana-3673	166	1	it	it	PRON
cana-3673	166	2	is	be	AUX
cana-3673	166	3	evident	evident	ADJ
cana-3673	166	4	that	that	SCONJ
cana-3673	166	5	both	both	CCONJ
cana-3673	166	6	the	the	DET
cana-3673	166	7	temperature	temperature	NOUN
cana-3673	166	8	and	and	CCONJ
cana-3673	166	9	velocity	velocity	NOUN
cana-3673	166	10	of	of	ADP
cana-3673	166	11	the	the	DET
cana-3673	166	12	fluid	fluid	ADJ
cana-3673	166	13	increase	increase	NOUN
cana-3673	166	14	with	with	ADP
cana-3673	166	15	increasing	increase	VERB
cana-3673	166	16	values	value	NOUN
cana-3673	166	17	of	of	ADP
cana-3673	166	18	the	the	DET
cana-3673	166	19	heat	heat	NOUN
cana-3673	166	20	source	source	NOUN
cana-3673	166	21	parameter	parameter	NOUN
cana-3673	166	22	.	.	PUNCT
cana-3673	167	1	this	this	PRON
cana-3673	167	2	is	be	AUX
cana-3673	167	3	because	because	SCONJ
cana-3673	167	4	internal	internal	ADJ
cana-3673	167	5	heat	heat	NOUN
cana-3673	167	6	generation	generation	NOUN
cana-3673	167	7	increases	increase	VERB
cana-3673	167	8	the	the	DET
cana-3673	167	9	rate	rate	NOUN
cana-3673	167	10	of	of	ADP
cana-3673	167	11	heat	heat	NOUN
cana-3673	167	12	transfer	transfer	NOUN
cana-3673	167	13	to	to	ADP
cana-3673	167	14	the	the	DET
cana-3673	167	15	fluid	fluid	NOUN
cana-3673	167	16	,	,	PUNCT
cana-3673	167	17	which	which	PRON
cana-3673	167	18	in	in	ADP
cana-3673	167	19	turn	turn	NOUN
cana-3673	167	20	raises	raise	VERB
cana-3673	167	21	the	the	DET
cana-3673	167	22	velocity	velocity	NOUN
cana-3673	167	23	of	of	ADP
cana-3673	167	24	the	the	DET
cana-3673	167	25	flow	flow	NOUN
cana-3673	167	26	particles	particle	NOUN
cana-3673	167	27	.	.	PUNCT
cana-3673	168	1	furthermore	furthermore	ADV
cana-3673	168	2	,	,	PUNCT
cana-3673	168	3	figure	figure	NOUN
cana-3673	168	4	(	(	PUNCT
cana-3673	168	5	6	6	NUM
cana-3673	168	6	)	)	PUNCT
cana-3673	168	7	indicates	indicate	VERB
cana-3673	168	8	that	that	SCONJ
cana-3673	168	9	the	the	DET
cana-3673	168	10	temperature	temperature	NOUN
cana-3673	168	11	decreases	decrease	VERB
cana-3673	168	12	as	as	ADP
cana-3673	168	13	the	the	DET
cana-3673	168	14	cross	cross	ADJ
cana-3673	168	15	-	-	ADJ
cana-3673	168	16	flow	flow	ADJ
cana-3673	168	17	reynolds	reynold	NOUN
cana-3673	168	18	number	number	NOUN
cana-3673	168	19	increases	increase	NOUN
cana-3673	168	20	.	.	PUNCT
cana-3673	169	1	communications	communication	NOUN
cana-3673	169	2	on	on	ADP
cana-3673	169	3	applied	apply	VERB
cana-3673	169	4	nonlinear	nonlinear	ADJ
cana-3673	169	5	analysis	analysis	NOUN
cana-3673	169	6	issn	issn	NOUN
cana-3673	169	7	:	:	PUNCT
cana-3673	169	8	1074	1074	NUM
cana-3673	169	9	-	-	PUNCT
cana-3673	169	10	133x	133x	NUM
cana-3673	169	11	vol	vol	NOUN
cana-3673	169	12	32	32	NUM
cana-3673	169	13	no	no	NOUN
cana-3673	169	14	.	.	PUNCT
cana-3673	170	1	8s	8s	PROPN
cana-3673	170	2	(	(	PUNCT
cana-3673	170	3	2025	2025	NUM
cana-3673	170	4	)	)	PUNCT
cana-3673	170	5	317	317	NUM
cana-3673	170	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3673	170	7	figure	figure	NOUN
cana-3673	170	8	(	(	PUNCT
cana-3673	170	9	5	5	NUM
cana-3673	170	10	)	)	PUNCT
cana-3673	170	11	depicts	depict	VERB
cana-3673	170	12	the	the	DET
cana-3673	170	13	temperature	temperature	NOUN
cana-3673	170	14	profile	profile	NOUN
cana-3673	170	15	(	(	PUNCT
cana-3673	170	16	𝝷	𝝷	X
cana-3673	170	17	)	)	PUNCT
cana-3673	170	18	for	for	ADP
cana-3673	170	19	different	different	ADJ
cana-3673	170	20	values	value	NOUN
cana-3673	170	21	of	of	ADP
cana-3673	170	22	the	the	DET
cana-3673	170	23	prandtl	prandtl	NOUN
cana-3673	170	24	number	number	NOUN
cana-3673	170	25	(	(	PUNCT
cana-3673	170	26	pr	pr	NOUN
cana-3673	170	27	)	)	PUNCT
cana-3673	170	28	in	in	ADP
cana-3673	170	29	the	the	DET
cana-3673	170	30	presence	presence	NOUN
cana-3673	170	31	of	of	ADP
cana-3673	170	32	a	a	DET
cana-3673	170	33	heat	heat	NOUN
cana-3673	170	34	source	source	NOUN
cana-3673	170	35	.	.	PUNCT
cana-3673	171	1	a	a	DET
cana-3673	171	2	comparative	comparative	ADJ
cana-3673	171	3	analysis	analysis	NOUN
cana-3673	171	4	of	of	ADP
cana-3673	171	5	the	the	DET
cana-3673	171	6	graph	graph	NOUN
cana-3673	171	7	shows	show	VERB
cana-3673	171	8	that	that	SCONJ
cana-3673	171	9	increasing	increase	VERB
cana-3673	171	10	values	value	NOUN
cana-3673	171	11	of	of	ADP
cana-3673	171	12	the	the	DET
cana-3673	171	13	prandtl	prandtl	NOUN
cana-3673	171	14	number	number	NOUN
cana-3673	171	15	lead	lead	VERB
cana-3673	171	16	to	to	ADP
cana-3673	171	17	a	a	DET
cana-3673	171	18	decrease	decrease	NOUN
cana-3673	171	19	in	in	ADP
cana-3673	171	20	the	the	DET
cana-3673	171	21	temperature	temperature	NOUN
cana-3673	171	22	of	of	ADP
cana-3673	171	23	the	the	DET
cana-3673	171	24	fluid	fluid	NOUN
cana-3673	171	25	,	,	PUNCT
cana-3673	171	26	as	as	SCONJ
cana-3673	171	27	fluids	fluid	NOUN
cana-3673	171	28	with	with	ADP
cana-3673	171	29	higher	high	ADJ
cana-3673	171	30	prandtl	prandtl	NOUN
cana-3673	171	31	numbers	number	NOUN
cana-3673	171	32	have	have	VERB
cana-3673	171	33	relatively	relatively	ADV
cana-3673	171	34	lower	low	ADJ
cana-3673	171	35	thermal	thermal	ADJ
cana-3673	171	36	conductivity	conductivity	NOUN
cana-3673	171	37	.	.	PUNCT
cana-3673	172	1	additionally	additionally	ADV
cana-3673	172	2	,	,	PUNCT
cana-3673	172	3	this	this	DET
cana-3673	172	4	figure	figure	NOUN
cana-3673	172	5	highlights	highlight	VERB
cana-3673	172	6	a	a	DET
cana-3673	172	7	significant	significant	ADJ
cana-3673	172	8	increase	increase	NOUN
cana-3673	172	9	in	in	ADP
cana-3673	172	10	the	the	DET
cana-3673	172	11	main	main	ADJ
cana-3673	172	12	flow	flow	NOUN
cana-3673	172	13	velocity	velocity	NOUN
cana-3673	172	14	of	of	ADP
cana-3673	172	15	the	the	DET
cana-3673	172	16	fluid	fluid	NOUN
cana-3673	172	17	with	with	ADP
cana-3673	172	18	rising	rise	VERB
cana-3673	172	19	values	value	NOUN
cana-3673	172	20	of	of	ADP
cana-3673	172	21	the	the	DET
cana-3673	172	22	heat	heat	NOUN
cana-3673	172	23	source	source	NOUN
cana-3673	172	24	parameter	parameter	NOUN
cana-3673	172	25	.	.	PUNCT
cana-3673	173	1	from	from	ADP
cana-3673	173	2	equation	equation	NOUN
cana-3673	173	3	(	(	PUNCT
cana-3673	173	4	7	7	NUM
cana-3673	173	5	)	)	PUNCT
cana-3673	173	6	,	,	PUNCT
cana-3673	173	7	it	it	PRON
cana-3673	173	8	is	be	AUX
cana-3673	173	9	observed	observe	VERB
cana-3673	173	10	that	that	SCONJ
cana-3673	173	11	the	the	DET
cana-3673	173	12	concentration	concentration	NOUN
cana-3673	173	13	of	of	ADP
cana-3673	173	14	the	the	DET
cana-3673	173	15	fluid	fluid	NOUN
cana-3673	173	16	decreases	decrease	NOUN
cana-3673	173	17	with	with	ADP
cana-3673	173	18	increasing	increase	VERB
cana-3673	173	19	values	value	NOUN
cana-3673	173	20	of	of	ADP
cana-3673	173	21	the	the	DET
cana-3673	173	22	chemical	chemical	NOUN
cana-3673	173	23	reaction	reaction	NOUN
cana-3673	173	24	parameter	parameter	PROPN
cana-3673	173	25	ch	ch	PROPN
cana-3673	173	26	.	.	PUNCT
cana-3673	174	1	this	this	PRON
cana-3673	174	2	is	be	AUX
cana-3673	174	3	because	because	SCONJ
cana-3673	174	4	the	the	DET
cana-3673	174	5	contribution	contribution	NOUN
cana-3673	174	6	from	from	ADP
cana-3673	174	7	the	the	DET
cana-3673	174	8	chemical	chemical	NOUN
cana-3673	174	9	reaction	reaction	NOUN
cana-3673	174	10	parameter	parameter	NOUN
cana-3673	174	11	is	be	AUX
cana-3673	174	12	directly	directly	ADV
cana-3673	174	13	dependent	dependent	ADJ
cana-3673	174	14	on	on	ADP
cana-3673	174	15	the	the	DET
cana-3673	174	16	strength	strength	NOUN
cana-3673	174	17	of	of	ADP
cana-3673	174	18	the	the	DET
cana-3673	174	19	electrolytes	electrolyte	NOUN
cana-3673	174	20	,	,	PUNCT
cana-3673	174	21	which	which	PRON
cana-3673	174	22	in	in	ADP
cana-3673	174	23	turn	turn	NOUN
cana-3673	174	24	affects	affect	VERB
cana-3673	174	25	the	the	DET
cana-3673	174	26	absorption	absorption	NOUN
cana-3673	174	27	or	or	CCONJ
cana-3673	174	28	adsorption	adsorption	NOUN
cana-3673	174	29	effects.figures	effects.figure	NOUN
cana-3673	174	30	(	(	PUNCT
cana-3673	174	31	8)	8)	NUM
cana-3673	174	32	reveal	reveal	VERB
cana-3673	174	33	that	that	SCONJ
cana-3673	174	34	the	the	DET
cana-3673	174	35	velocity	velocity	NOUN
cana-3673	174	36	of	of	ADP
cana-3673	174	37	the	the	DET
cana-3673	174	38	flow	flow	NOUN
cana-3673	174	39	increases	increase	NOUN
cana-3673	174	40	with	with	ADP
cana-3673	174	41	an	an	DET
cana-3673	174	42	increase	increase	NOUN
cana-3673	174	43	in	in	ADP
cana-3673	174	44	gm	gm	PROPN
cana-3673	174	45	.	.	PUNCT
cana-3673	175	1	this	this	PRON
cana-3673	175	2	is	be	AUX
cana-3673	175	3	due	due	ADJ
cana-3673	175	4	to	to	ADP
cana-3673	175	5	the	the	DET
cana-3673	175	6	reality	reality	NOUN
cana-3673	175	7	that	that	SCONJ
cana-3673	175	8	with	with	ADP
cana-3673	175	9	the	the	DET
cana-3673	175	10	increasing	increase	VERB
cana-3673	175	11	values	value	NOUN
cana-3673	175	12	mass	mass	VERB
cana-3673	175	13	grashof	grashof	ADJ
cana-3673	175	14	number	number	NOUN
cana-3673	175	15	has	have	VERB
cana-3673	175	16	the	the	DET
cana-3673	175	17	tendency	tendency	NOUN
cana-3673	175	18	to	to	PART
cana-3673	175	19	increase	increase	VERB
cana-3673	175	20	the	the	DET
cana-3673	175	21	thermal	thermal	ADJ
cana-3673	175	22	and	and	CCONJ
cana-3673	175	23	mass	mass	ADJ
cana-3673	175	24	buoyancy	buoyancy	NOUN
cana-3673	175	25	effect	effect	NOUN
cana-3673	175	26	conclusions	conclusion	NOUN
cana-3673	175	27	the	the	DET
cana-3673	175	28	following	following	ADJ
cana-3673	175	29	conclusions	conclusion	NOUN
cana-3673	175	30	have	have	AUX
cana-3673	175	31	been	be	AUX
cana-3673	175	32	drawn	draw	VERB
cana-3673	175	33	from	from	ADP
cana-3673	175	34	the	the	DET
cana-3673	175	35	above	above	ADJ
cana-3673	175	36	results	result	NOUN
cana-3673	175	37	:	:	PUNCT
cana-3673	176	1	1	1	X
cana-3673	176	2	.	.	X
cana-3673	176	3	the	the	DET
cana-3673	176	4	temperature	temperature	NOUN
cana-3673	176	5	of	of	ADP
cana-3673	176	6	the	the	DET
cana-3673	176	7	fluid	fluid	ADJ
cana-3673	176	8	increases	increase	NOUN
cana-3673	176	9	due	due	ADJ
cana-3673	176	10	to	to	ADP
cana-3673	176	11	the	the	DET
cana-3673	176	12	heat	heat	NOUN
cana-3673	176	13	source	source	NOUN
cana-3673	176	14	parameter	parameter	NOUN
cana-3673	176	15	,	,	PUNCT
cana-3673	176	16	which	which	PRON
cana-3673	176	17	consequently	consequently	ADV
cana-3673	176	18	leads	lead	VERB
cana-3673	176	19	to	to	ADP
cana-3673	176	20	an	an	DET
cana-3673	176	21	increase	increase	NOUN
cana-3673	176	22	in	in	ADP
cana-3673	176	23	the	the	DET
cana-3673	176	24	main	main	ADJ
cana-3673	176	25	flow	flow	NOUN
cana-3673	176	26	velocity	velocity	NOUN
cana-3673	176	27	of	of	ADP
cana-3673	176	28	the	the	DET
cana-3673	176	29	fluid	fluid	ADJ
cana-3673	176	30	particles	particle	NOUN
cana-3673	176	31	.	.	PUNCT
cana-3673	177	1	for	for	ADP
cana-3673	177	2	the	the	DET
cana-3673	177	3	case	case	NOUN
cana-3673	177	4	of	of	ADP
cana-3673	177	5	re	re	PROPN
cana-3673	177	6	=	=	PROPN
cana-3673	177	7	2.0	2.0	NUM
cana-3673	177	8	,	,	PUNCT
cana-3673	177	9	the	the	DET
cana-3673	177	10	effect	effect	NOUN
cana-3673	177	11	of	of	ADP
cana-3673	177	12	the	the	DET
cana-3673	177	13	heat	heat	NOUN
cana-3673	177	14	source	source	NOUN
cana-3673	177	15	on	on	ADP
cana-3673	177	16	both	both	DET
cana-3673	177	17	velocity	velocity	NOUN
cana-3673	177	18	and	and	CCONJ
cana-3673	177	19	temperature	temperature	NOUN
cana-3673	177	20	is	be	AUX
cana-3673	177	21	more	more	ADV
cana-3673	177	22	significant	significant	ADJ
cana-3673	177	23	compared	compare	VERB
cana-3673	177	24	to	to	ADP
cana-3673	177	25	the	the	DET
cana-3673	177	26	case	case	NOUN
cana-3673	177	27	of	of	ADP
cana-3673	177	28	re	re	PROPN
cana-3673	177	29	=	=	NOUN
cana-3673	177	30	5.0	5.0	NUM
cana-3673	177	31	..	..	PUNCT
cana-3673	177	32	nomenclature	nomenclature	ADJ
cana-3673	177	33	gacceleration	gacceleration	NOUN
cana-3673	177	34	due	due	ADP
cana-3673	177	35	to	to	ADP
cana-3673	177	36	gravity	gravity	NOUN
cana-3673	177	37	,	,	PUNCT
cana-3673	177	38			PROPN
cana-3673	177	39	coefficient	coefficient	NOUN
cana-3673	177	40	of	of	ADP
cana-3673	177	41	volumetric	volumetric	ADJ
cana-3673	177	42	thermal	thermal	ADJ
cana-3673	177	43	expansion	expansion	NOUN
cana-3673	177	44	,	,	PUNCT
cana-3673	177	45	*	*	PUNCT
cana-3673	177	46			NOUN
cana-3673	177	47	coefficient	coefficient	NOUN
cana-3673	177	48	of	of	ADP
cana-3673	177	49	mass	mass	ADJ
cana-3673	177	50	expansion	expansion	NOUN
cana-3673	177	51	,	,	PUNCT
cana-3673	177	52	*	*	PUNCT
cana-3673	177	53	p	p	NOUN
cana-3673	177	54	pressure	pressure	NOUN
cana-3673	177	55	,	,	PUNCT
cana-3673	177	56			ADP
cana-3673	177	57	-density	-density	NOUN
cana-3673	177	58	,	,	PUNCT
cana-3673	177	59			NUM
cana-3673	177	60	kinematics	kinematic	NOUN
cana-3673	177	61	viscosity	viscosity	NOUN
cana-3673	177	62	,	,	PUNCT
cana-3673	177	63			NOUN
cana-3673	177	64	-viscosity	-viscosity	NOUN
cana-3673	177	65	,	,	PUNCT
cana-3673	177	66	kthermal	kthermal	ADJ
cana-3673	177	67	conductivity	conductivity	NOUN
cana-3673	177	68	,	,	PUNCT
cana-3673	177	69	cp	cp	NUM
cana-3673	177	70	-specific	-specific	PROPN
cana-3673	177	71	heat	heat	NOUN
cana-3673	177	72	at	at	ADP
cana-3673	177	73	constant	constant	ADJ
cana-3673	177	74	pressure	pressure	NOUN
cana-3673	177	75	,	,	PUNCT
cana-3673	177	76	d	d	PROPN
cana-3673	177	77	-concentration	-concentration	NOUN
cana-3673	177	78	diffusivity	diffusivity	NOUN
cana-3673	177	79	,	,	PUNCT
cana-3673	177	80	*	*	PROPN
cana-3673	177	81	wc	wc	PROPN
cana-3673	177	82	-concentration	-concentration	PROPN
cana-3673	177	83	of	of	ADP
cana-3673	177	84	the	the	DET
cana-3673	177	85	plate	plate	NOUN
cana-3673	177	86	,	,	PUNCT
cana-3673	177	87	*	*	PUNCT
cana-3673	177	88	wt	wt	NOUN
cana-3673	177	89	-temperature	-temperature	NOUN
cana-3673	177	90	of	of	ADP
cana-3673	177	91	the	the	DET
cana-3673	177	92	plate	plate	NOUN
cana-3673	177	93	,	,	PUNCT
cana-3673	177	94	*	*	PUNCT
cana-3673	177	95	t	t	ADJ
cana-3673	177	96	-temperature	-temperature	NOUN
cana-3673	177	97	of	of	ADP
cana-3673	177	98	the	the	DET
cana-3673	177	99	fluid	fluid	NOUN
cana-3673	177	100	far	far	ADV
cana-3673	177	101	away	away	ADV
cana-3673	177	102	from	from	ADP
cana-3673	177	103	the	the	DET
cana-3673	177	104	plate	plate	NOUN
cana-3673	177	105	*	*	PUNCT
cana-3673	177	106	c	c	NOUN
cana-3673	177	107	concentration	concentration	NOUN
cana-3673	177	108	of	of	ADP
cana-3673	177	109	the	the	DET
cana-3673	177	110	fluid	fluid	NOUN
cana-3673	177	111	far	far	ADV
cana-3673	177	112	away	away	ADV
cana-3673	177	113	from	from	ADP
cana-3673	177	114	the	the	DET
cana-3673	177	115	plate	plate	NOUN
cana-3673	177	116	b0	b0	NOUN
cana-3673	177	117	-	-	PUNCT
cana-3673	177	118	magnetic	magnetic	ADJ
cana-3673	177	119	field	field	NOUN
cana-3673	177	120	component	component	NOUN
cana-3673	177	121	v	v	ADP
cana-3673	177	122	q	q	X
cana-3673	177	123	olumetric	olumetric	ADJ
cana-3673	177	124	rate	rate	NOUN
cana-3673	177	125	of	of	ADP
cana-3673	177	126	heat	heat	NOUN
cana-3673	177	127	absorption	absorption	NOUN
cana-3673	177	128	constant	constant	ADJ
cana-3673	177	129	p	p	ADJ
cana-3673	177	130	-pressure	-pressure	NOUN
cana-3673	177	131	in	in	ADP
cana-3673	177	132	stream	stream	NOUN
cana-3673	177	133	fig.1	fig.1	PROPN
cana-3673	177	134	:	:	PUNCT
cana-3673	177	135	effect	effect	NOUN
cana-3673	177	136	of	of	ADP
cana-3673	177	137	m	m	PROPN
cana-3673	177	138	in	in	ADP
cana-3673	177	139	the	the	DET
cana-3673	177	140	presence	presence	NOUN
cana-3673	177	141	of	of	ADP
cana-3673	177	142	heat	heat	NOUN
cana-3673	177	143	source	source	NOUN
cana-3673	177	144	on	on	ADP
cana-3673	177	145	velocity	velocity	NOUN
cana-3673	177	146	field	field	NOUN
cana-3673	177	147	u	u	PROPN
cana-3673	177	148	(	(	PUNCT
cana-3673	177	149	gr=1.0	gr=1.0	NOUN
cana-3673	177	150	,	,	PUNCT
cana-3673	177	151	gm=1.0	gm=1.0	NOUN
cana-3673	177	152	,	,	PUNCT
cana-3673	177	153	re=5.0	re=5.0	NOUN
cana-3673	177	154	,	,	PUNCT
cana-3673	177	155	k0	k0	PROPN
cana-3673	177	156	=	=	PROPN
cana-3673	177	157	1.0	1.0	NUM
cana-3673	177	158	,	,	PUNCT
cana-3673	177	159	pr=0.71	pr=0.71	NOUN
cana-3673	177	160	,	,	PUNCT
cana-3673	177	161	ch=0.5,sc=0.66	ch=0.5,sc=0.66	PROPN
cana-3673	177	162	,	,	PUNCT
cana-3673	177	163	ε	ε	PROPN
cana-3673	177	164	=	=	SYM
cana-3673	177	165	0.1	0.1	NUM
cana-3673	177	166	and	and	CCONJ
cana-3673	177	167	z=0.0	z=0.0	NOUN
cana-3673	177	168	)	)	PUNCT
cana-3673	177	169	fig.2	fig.2	PROPN
cana-3673	177	170	:	:	PUNCT
cana-3673	177	171	effect	effect	NOUN
cana-3673	177	172	of	of	ADP
cana-3673	177	173	‘	'	PUNCT
cana-3673	177	174	re	re	NOUN
cana-3673	177	175	’	'	PUNCT
cana-3673	177	176	on	on	ADP
cana-3673	177	177	velocity	velocity	NOUN
cana-3673	177	178	field	field	NOUN
cana-3673	177	179	u	u	NOUN
cana-3673	177	180	in	in	ADP
cana-3673	177	181	the	the	DET
cana-3673	177	182	presence	presence	NOUN
cana-3673	177	183	of	of	ADP
cana-3673	177	184	heat	heat	NOUN
cana-3673	177	185	source	source	NOUN
cana-3673	177	186	(	(	PUNCT
cana-3673	177	187	gr=1.0	gr=1.0	NOUN
cana-3673	177	188	,	,	PUNCT
cana-3673	177	189	gm=1.0	gm=1.0	PROPN
cana-3673	177	190	,	,	PUNCT
cana-3673	177	191	ch=0.5	ch=0.5	NOUN
cana-3673	177	192	,	,	PUNCT
cana-3673	177	193	m=1.0	m=1.0	NOUN
cana-3673	177	194	,	,	PUNCT
cana-3673	177	195	k0	k0	PROPN
cana-3673	177	196	=	=	PROPN
cana-3673	177	197	1.0	1.0	NUM
cana-3673	177	198	,	,	PUNCT
cana-3673	177	199	pr=0.71	pr=0.71	NOUN
cana-3673	177	200	,	,	PUNCT
cana-3673	177	201	sc=0.66	sc=0.66	NOUN
cana-3673	177	202	,	,	PUNCT
cana-3673	177	203	ε	ε	PROPN
cana-3673	177	204	=	=	SYM
cana-3673	177	205	0.1	0.1	NUM
cana-3673	177	206	and	and	CCONJ
cana-3673	177	207	z=0.0	z=0.0	NOUN
cana-3673	177	208	)	)	PUNCT
cana-3673	177	209	communications	communication	NOUN
cana-3673	177	210	on	on	ADP
cana-3673	177	211	applied	apply	VERB
cana-3673	177	212	nonlinear	nonlinear	ADJ
cana-3673	177	213	analysis	analysis	NOUN
cana-3673	177	214	issn	issn	NOUN
cana-3673	177	215	:	:	PUNCT
cana-3673	177	216	1074	1074	NUM
cana-3673	177	217	-	-	PUNCT
cana-3673	177	218	133x	133x	NUM
cana-3673	177	219	vol	vol	NOUN
cana-3673	177	220	32	32	NUM
cana-3673	177	221	no	no	NOUN
cana-3673	177	222	.	.	PUNCT
cana-3673	178	1	8s	8s	PROPN
cana-3673	178	2	(	(	PUNCT
cana-3673	178	3	2025	2025	NUM
cana-3673	178	4	)	)	PUNCT
cana-3673	178	5	318	318	NUM
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cana-3673	178	7	fig.3	fig.3	ADJ
cana-3673	178	8	:	:	PUNCT
cana-3673	178	9	effect	effect	NOUN
cana-3673	178	10	of	of	ADP
cana-3673	178	11	heat	heat	NOUN
cana-3673	178	12	source	source	NOUN
cana-3673	178	13	on	on	ADP
cana-3673	178	14	velocity	velocity	NOUN
cana-3673	178	15	field	field	NOUN
cana-3673	178	16	u	u	PROPN
cana-3673	178	17	(	(	PUNCT
cana-3673	178	18	gr=1.0	gr=1.0	NOUN
cana-3673	178	19	,	,	PUNCT
cana-3673	178	20	gm=1.0	gm=1.0	NOUN
cana-3673	178	21	,	,	PUNCT
cana-3673	178	22	m=1.0	m=1.0	NOUN
cana-3673	178	23	,	,	PUNCT
cana-3673	178	24	ch=0.5,re=5.0	ch=0.5,re=5.0	PROPN
cana-3673	178	25	,	,	PUNCT
cana-3673	178	26	k0	k0	PROPN
cana-3673	178	27	=	=	PROPN
cana-3673	178	28	1.0	1.0	NUM
cana-3673	178	29	,	,	PUNCT
cana-3673	178	30	pr=0.71	pr=0.71	NOUN
cana-3673	178	31	,	,	PUNCT
cana-3673	178	32	sc=0.66	sc=0.66	NOUN
cana-3673	178	33	,	,	PUNCT
cana-3673	178	34	ε	ε	PROPN
cana-3673	178	35	=	=	SYM
cana-3673	178	36	0.1	0.1	NUM
cana-3673	178	37	and	and	CCONJ
cana-3673	178	38	z=0.0	z=0.0	NOUN
cana-3673	178	39	)	)	PUNCT
cana-3673	178	40	fig.4	fig.4	PROPN
cana-3673	178	41	-	-	PUNCT
cana-3673	178	42	effect	effect	NOUN
cana-3673	178	43	of	of	ADP
cana-3673	178	44	gr	gr	NOUN
cana-3673	178	45	on	on	ADP
cana-3673	178	46	velocity	velocity	NOUN
cana-3673	178	47	field	field	NOUN
cana-3673	178	48	u	u	NOUN
cana-3673	178	49	in	in	ADP
cana-3673	178	50	the	the	DET
cana-3673	178	51	presence	presence	NOUN
cana-3673	178	52	of	of	ADP
cana-3673	178	53	heat	heat	NOUN
cana-3673	178	54	source	source	NOUN
cana-3673	178	55	(	(	PUNCT
cana-3673	178	56	gm=1.0	gm=1.0	NOUN
cana-3673	178	57	,	,	PUNCT
cana-3673	178	58	re=5.0	re=5.0	NOUN
cana-3673	178	59	,	,	PUNCT
cana-3673	178	60	m=1.0	m=1.0	NOUN
cana-3673	178	61	,	,	PUNCT
cana-3673	178	62	ko=1.0	ko=1.0	NOUN
cana-3673	178	63	,	,	PUNCT
cana-3673	178	64	pr=0.71	pr=0.71	PROPN
cana-3673	178	65	,	,	PUNCT
cana-3673	178	66	sc=0.66	sc=0.66	NOUN
cana-3673	178	67	,	,	PUNCT
cana-3673	178	68	ε=0.1	ε=0.1	PROPN
cana-3673	178	69	,	,	PUNCT
cana-3673	178	70	ch=0.5and	ch=0.5and	PROPN
cana-3673	178	71	z=0.0	z=0.0	NOUN
cana-3673	178	72	)	)	PUNCT
cana-3673	178	73	fig.5	fig.5	NOUN
cana-3673	178	74	-	-	PUNCT
cana-3673	178	75	effects	effect	NOUN
cana-3673	178	76	of	of	ADP
cana-3673	178	77	pr	pr	NOUN
cana-3673	178	78	on	on	ADP
cana-3673	178	79	temperature	temperature	NOUN
cana-3673	178	80	profile	profile	NOUN
cana-3673	178	81	𝝷	𝝷	NOUN
cana-3673	178	82	in	in	ADP
cana-3673	178	83	the	the	DET
cana-3673	178	84	presence	presence	NOUN
cana-3673	178	85	of	of	ADP
cana-3673	178	86	heat	heat	NOUN
cana-3673	178	87	source	source	NOUN
cana-3673	178	88	(	(	PUNCT
cana-3673	178	89	m=1.0	m=1.0	NOUN
cana-3673	178	90	,	,	PUNCT
cana-3673	178	91	k0=1.0	k0=1.0	PROPN
cana-3673	178	92	,	,	PUNCT
cana-3673	178	93	ε=0.1	ε=0.1	NOUN
cana-3673	178	94	and	and	CCONJ
cana-3673	178	95	z=0.0	z=0.0	NOUN
cana-3673	178	96	)	)	PUNCT
cana-3673	178	97	fig.6	fig.6	PROPN
cana-3673	178	98	:	:	PUNCT
cana-3673	178	99	effect	effect	NOUN
cana-3673	178	100	of	of	ADP
cana-3673	178	101	‘	'	PUNCT
cana-3673	178	102	re	re	NOUN
cana-3673	178	103	’	'	PUNCT
cana-3673	178	104	on	on	ADP
cana-3673	178	105	temperature	temperature	NOUN
cana-3673	178	106	profile	profile	NOUN
cana-3673	178	107	𝝷	𝝷	NOUN
cana-3673	178	108	in	in	ADP
cana-3673	178	109	the	the	DET
cana-3673	178	110	presence	presence	NOUN
cana-3673	178	111	of	of	ADP
cana-3673	178	112	heat	heat	NOUN
cana-3673	178	113	source	source	NOUN
cana-3673	178	114	(	(	PUNCT
cana-3673	178	115	m=1.0	m=1.0	NOUN
cana-3673	178	116	,	,	PUNCT
cana-3673	178	117	k0=1.0	k0=1.0	PROPN
cana-3673	178	118	,	,	PUNCT
cana-3673	178	119	ε=0.1	ε=0.1	NOUN
cana-3673	178	120	and	and	CCONJ
cana-3673	178	121	z=0.0	z=0.0	NOUN
cana-3673	178	122	)	)	PUNCT
cana-3673	178	123	fig	fig	NOUN
cana-3673	178	124	7chemical	7chemical	NUM
cana-3673	178	125	reaction	reaction	NOUN
cana-3673	178	126	effect	effect	NOUN
cana-3673	178	127	on	on	ADP
cana-3673	178	128	concentration	concentration	NOUN
cana-3673	178	129	field	field	NOUN
cana-3673	178	130	(	(	PUNCT
cana-3673	178	131	re=3.0	re=3.0	NOUN
cana-3673	178	132	,	,	PUNCT
cana-3673	178	133	sc=0.66	sc=0.66	NOUN
cana-3673	178	134	,	,	PUNCT
cana-3673	178	135	ε=0.1and	ε=0.1and	PROPN
cana-3673	178	136	z=0.0	z=0.0	NOUN
cana-3673	178	137	)	)	PUNCT
cana-3673	178	138	fig	fig	NOUN
cana-3673	178	139	8	8	NUM
cana-3673	178	140	-	-	PUNCT
cana-3673	178	141	effect	effect	NOUN
cana-3673	178	142	of	of	ADP
cana-3673	178	143	gm	gm	PROPN
cana-3673	178	144	on	on	ADP
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cana-3673	178	146	field	field	NOUN
cana-3673	178	147	u	u	NOUN
cana-3673	178	148	in	in	ADP
cana-3673	178	149	the	the	DET
cana-3673	178	150	presence	presence	NOUN
cana-3673	178	151	of	of	ADP
cana-3673	178	152	magnetic	magnetic	ADJ
cana-3673	178	153	field	field	NOUN
cana-3673	178	154	(	(	PUNCT
cana-3673	178	155	gr=1.0	gr=1.0	NOUN
cana-3673	178	156	,	,	PUNCT
cana-3673	178	157	re=5.0	re=5.0	NOUN
cana-3673	178	158	,	,	PUNCT
cana-3673	178	159	m=1.0	m=1.0	NOUN
cana-3673	178	160	,	,	PUNCT
cana-3673	178	161	ko=1.0	ko=1.0	NOUN
cana-3673	178	162	,	,	PUNCT
cana-3673	178	163	pr=0.71	pr=0.71	PROPN
cana-3673	178	164	,	,	PUNCT
cana-3673	178	165	sc=0.66	sc=0.66	NOUN
cana-3673	178	166	,	,	PUNCT
cana-3673	178	167	ε=0.1	ε=0.1	PROPN
cana-3673	178	168	,	,	PUNCT
cana-3673	178	169	ch=0.5and	ch=0.5and	PROPN
cana-3673	178	170	z=0.0	z=0.0	NOUN
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cana-3673	178	173	[	[	X
cana-3673	178	174	1	1	NUM
cana-3673	178	175	]	]	PUNCT
cana-3673	178	176	a.	a.	NOUN
cana-3673	178	177	raptis	raptis	PROPN
cana-3673	178	178	,	,	PUNCT
cana-3673	178	179	g.	g.	PROPN
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cana-3673	178	181	and	and	CCONJ
cana-3673	178	182	g.	g.	PROPN
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cana-3673	178	184	,	,	PUNCT
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cana-3673	178	187	convection	convection	NOUN
cana-3673	178	188	flow	flow	NOUN
cana-3673	178	189	through	through	ADP
cana-3673	178	190	a	a	DET
cana-3673	178	191	porous	porous	ADJ
cana-3673	178	192	medium	medium	NOUN
cana-3673	178	193	bounded	bound	VERB
cana-3673	178	194	by	by	ADP
cana-3673	178	195	a	a	DET
cana-3673	178	196	vertical	vertical	ADJ
cana-3673	178	197	surface	surface	NOUN
cana-3673	178	198	,	,	PUNCT
cana-3673	178	199	j.	j.	PROPN
cana-3673	178	200	phys	phys	PROPN
cana-3673	178	201	.	.	PUNCT
cana-3673	179	1	d.	d.	PROPN
cana-3673	179	2	appl	appl	PROPN
cana-3673	179	3	.	.	PUNCT
cana-3673	180	1	phys	phy	NOUN
cana-3673	180	2	.	.	PUNCT
cana-3673	181	1	141,(981a	141,(981a	NUM
cana-3673	181	2	)	)	PUNCT
cana-3673	181	3	,	,	PUNCT
cana-3673	181	4	pp	pp	PROPN
cana-3673	181	5	.	.	PUNCT
cana-3673	182	1	99	99	NUM
cana-3673	182	2	-	-	SYM
cana-3673	182	3	102	102	NUM
cana-3673	182	4	.	.	PUNCT
cana-3673	183	1	[	[	X
cana-3673	183	2	2	2	NUM
cana-3673	183	3	]	]	PUNCT
cana-3673	183	4	a.	a.	NOUN
cana-3673	183	5	raptis	raptis	PROPN
cana-3673	183	6	,	,	PUNCT
cana-3673	183	7	g.	g.	PROPN
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cana-3673	183	9	and	and	CCONJ
cana-3673	183	10	n.	n.	PROPN
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cana-3673	183	12	,	,	PUNCT
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cana-3673	183	15	and	and	CCONJ
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cana-3673	183	17	transfer	transfer	NOUN
cana-3673	183	18	flow	flow	NOUN
cana-3673	183	19	through	through	ADP
cana-3673	183	20	a	a	DET
cana-3673	183	21	porous	porous	ADJ
cana-3673	183	22	medium	medium	NOUN
cana-3673	183	23	bounded	bound	VERB
cana-3673	183	24	by	by	ADP
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cana-3673	183	27	vertical	vertical	ADJ
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cana-3673	183	29	surface	surface	NOUN
cana-3673	183	30	with	with	ADP
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cana-3673	183	32	suction	suction	NOUN
cana-3673	183	33	,	,	PUNCT
cana-3673	183	34	”	"	PUNCT
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cana-3673	183	39	,	,	PUNCT
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cana-3673	183	42	(	(	PUNCT
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cana-3673	183	44	)	)	PUNCT
cana-3673	183	45	,	,	PUNCT
cana-3673	183	46	pp	pp	ADP
cana-3673	183	47	.	.	PUNCT
cana-3673	184	1	417	417	NUM
cana-3673	184	2	-	-	SYM
cana-3673	184	3	24	24	NUM
cana-3673	184	4	.	.	PUNCT
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cana-3673	185	2	on	on	ADP
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cana-3673	185	6	issn	issn	NOUN
cana-3673	185	7	:	:	PUNCT
cana-3673	185	8	1074	1074	NUM
cana-3673	185	9	-	-	PUNCT
cana-3673	185	10	133x	133x	NUM
cana-3673	185	11	vol	vol	NOUN
cana-3673	185	12	32	32	NUM
cana-3673	185	13	no	no	NOUN
cana-3673	185	14	.	.	PUNCT
cana-3673	186	1	8s	8s	PROPN
cana-3673	186	2	(	(	PUNCT
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cana-3673	186	4	)	)	PUNCT
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cana-3673	187	1	[	[	X
cana-3673	187	2	3	3	NUM
cana-3673	187	3	]	]	PUNCT
cana-3673	187	4	a.	a.	NOUN
cana-3673	187	5	raptis	raptis	NOUN
cana-3673	187	6	,	,	PUNCT
cana-3673	187	7	n.	n.	NOUN
cana-3673	187	8	kafousis	kafousis	NOUN
cana-3673	187	9	and	and	CCONJ
cana-3673	187	10	c.	c.	PROPN
cana-3673	187	11	massalas	massalas	PROPN
cana-3673	187	12	,	,	PUNCT
cana-3673	187	13	free	free	ADJ
cana-3673	187	14	convection	convection	NOUN
cana-3673	187	15	and	and	CCONJ
cana-3673	187	16	mass	mass	NOUN
cana-3673	187	17	transfer	transfer	NOUN
cana-3673	187	18	flow	flow	NOUN
cana-3673	187	19	through	through	ADP
cana-3673	187	20	a	a	DET
cana-3673	187	21	porous	porous	ADJ
cana-3673	187	22	medium	medium	NOUN
cana-3673	187	23	bounded	bound	VERB
cana-3673	187	24	by	by	ADP
cana-3673	187	25	an	an	DET
cana-3673	187	26	infinite	infinite	ADJ
cana-3673	187	27	vertical	vertical	ADJ
cana-3673	187	28	porous	porous	ADJ
cana-3673	187	29	plate	plate	NOUN
cana-3673	187	30	with	with	ADP
cana-3673	187	31	constant	constant	ADJ
cana-3673	187	32	heat	heat	NOUN
cana-3673	187	33	flux	flux	NOUN
cana-3673	187	34	,	,	PUNCT
cana-3673	187	35	zamm	zamm	PROPN
cana-3673	187	36	,	,	PUNCT
cana-3673	187	37	62	62	NUM
cana-3673	187	38	,	,	PUNCT
cana-3673	187	39	(	(	PUNCT
cana-3673	187	40	1982	1982	NUM
cana-3673	187	41	)	)	PUNCT
cana-3673	187	42	,	,	PUNCT
cana-3673	187	43	pp	pp	PROPN
cana-3673	187	44	.	.	PUNCT
cana-3673	188	1	489	489	NUM
cana-3673	188	2	-	-	SYM
cana-3673	188	3	91	91	NUM
cana-3673	188	4	.	.	PUNCT
cana-3673	189	1	[	[	X
cana-3673	189	2	4	4	NUM
cana-3673	189	3	]	]	PUNCT
cana-3673	189	4	a.raptis	a.raptis	ADJ
cana-3673	189	5	,	,	PUNCT
cana-3673	189	6	unsteady	unsteady	ADJ
cana-3673	189	7	free	free	ADJ
cana-3673	189	8	convective	convective	ADJ
cana-3673	189	9	flow	flow	NOUN
cana-3673	189	10	through	through	ADP
cana-3673	189	11	a	a	DET
cana-3673	189	12	porous	porous	ADJ
cana-3673	189	13	medium	medium	NOUN
cana-3673	189	14	,	,	PUNCT
cana-3673	189	15	int.j	int.j	PROPN
cana-3673	189	16	.	.	PUNCT
cana-3673	190	1	engng.sci	engng.sci	PROPN
cana-3673	190	2	.	.	PROPN
cana-3673	190	3	21	21	NUM
cana-3673	190	4	,	,	PUNCT
cana-3673	190	5	(	(	PUNCT
cana-3673	190	6	1983	1983	NUM
cana-3673	190	7	)	)	PUNCT
cana-3673	190	8	,	,	PUNCT
cana-3673	190	9	pp.345	pp.345	PROPN
cana-3673	190	10	-	-	SYM
cana-3673	190	11	48	48	NUM
cana-3673	190	12	.	.	PUNCT
cana-3673	191	1	[	[	X
cana-3673	191	2	5	5	NUM
cana-3673	191	3	]	]	PUNCT
cana-3673	191	4	a.raptis	a.raptis	NOUN
cana-3673	191	5	and	and	CCONJ
cana-3673	191	6	c.p.perdikis	c.p.perdiki	NOUN
cana-3673	191	7	,	,	PUNCT
cana-3673	191	8	oscillatory	oscillatory	ADJ
cana-3673	191	9	flow	flow	NOUN
cana-3673	191	10	through	through	ADP
cana-3673	191	11	a	a	DET
cana-3673	191	12	porous	porous	ADJ
cana-3673	191	13	medium	medium	NOUN
cana-3673	191	14	by	by	ADP
cana-3673	191	15	the	the	DET
cana-3673	191	16	presence	presence	NOUN
cana-3673	191	17	of	of	ADP
cana-3673	191	18	free	free	ADJ
cana-3673	191	19	convective	convective	ADJ
cana-3673	191	20	flow	flow	NOUN
cana-3673	191	21	,	,	PUNCT
cana-3673	191	22	int	int	NOUN
cana-3673	191	23	.	.	PUNCT
cana-3673	192	1	j.	j.	PROPN
cana-3673	192	2	engng	engng	PROPN
cana-3673	192	3	sci.23	sci.23	PROPN
cana-3673	192	4	,	,	PUNCT
cana-3673	192	5	(	(	PUNCT
cana-3673	192	6	1985	1985	NUM
cana-3673	192	7	)	)	PUNCT
cana-3673	192	8	,	,	PUNCT
cana-3673	192	9	pp	pp	ADP
cana-3673	192	10	.	.	PUNCT
cana-3673	193	1	51	51	NUM
cana-3673	193	2	-	-	SYM
cana-3673	193	3	55	55	NUM
cana-3673	193	4	.	.	PUNCT
cana-3673	194	1	[	[	X
cana-3673	194	2	6	6	NUM
cana-3673	194	3	]	]	X
cana-3673	194	4	k.d	k.d	PROPN
cana-3673	194	5	.	.	PROPN
cana-3673	194	6	singh	singh	PROPN
cana-3673	194	7	and	and	CCONJ
cana-3673	194	8	suresh	suresh	PROPN
cana-3673	194	9	kumar	kumar	PROPN
cana-3673	194	10	,	,	PUNCT
cana-3673	194	11	two	two	NUM
cana-3673	194	12	dimensional	dimensional	ADJ
cana-3673	194	13	unsteady	unsteady	ADJ
cana-3673	194	14	free	free	ADJ
cana-3673	194	15	convective	convective	ADJ
cana-3673	194	16	flow	flow	NOUN
cana-3673	194	17	through	through	ADP
cana-3673	194	18	a	a	DET
cana-3673	194	19	porous	porous	ADJ
cana-3673	194	20	medium	medium	NOUN
cana-3673	194	21	bounded	bound	VERB
cana-3673	194	22	by	by	ADP
cana-3673	194	23	an	an	DET
cana-3673	194	24	infinite	infinite	ADJ
cana-3673	194	25	vertical	vertical	ADJ
cana-3673	194	26	porous	porous	ADJ
cana-3673	194	27	plate	plate	NOUN
cana-3673	194	28	with	with	ADP
cana-3673	194	29	periodic	periodic	ADJ
cana-3673	194	30	permeability	permeability	NOUN
cana-3673	194	31	,	,	PUNCT
cana-3673	194	32	zamm	zamm	PROPN
cana-3673	194	33	75	75	NUM
cana-3673	194	34	(	(	PUNCT
cana-3673	194	35	1995	1995	NUM
cana-3673	194	36	)	)	PUNCT
cana-3673	194	37	,	,	PUNCT
cana-3673	194	38	pp	pp	ADV
cana-3673	194	39	599	599	NUM
cana-3673	194	40	-	-	SYM
cana-3673	194	41	604	604	NUM
cana-3673	194	42	.	.	PUNCT
cana-3673	195	1	[	[	X
cana-3673	195	2	7	7	X
cana-3673	195	3	]	]	X
cana-3673	195	4	k.d	k.d	PROPN
cana-3673	195	5	.	.	PROPN
cana-3673	195	6	singh	singh	PROPN
cana-3673	195	7	and	and	CCONJ
cana-3673	195	8	g.n	g.n	PROPN
cana-3673	195	9	.	.	PROPN
cana-3673	195	10	verma	verma	PROPN
cana-3673	195	11	,	,	PUNCT
cana-3673	195	12	three	three	NUM
cana-3673	195	13	dimensional	dimensional	ADJ
cana-3673	195	14	oscillatory	oscillatory	ADJ
cana-3673	195	15	flow	flow	NOUN
cana-3673	195	16	thorough	thorough	NOUN
cana-3673	195	17	a	a	DET
cana-3673	195	18	porous	porous	ADJ
cana-3673	195	19	medium	medium	NOUN
cana-3673	195	20	with	with	ADP
cana-3673	195	21	periodic	periodic	ADJ
cana-3673	195	22	permeability	permeability	NOUN
cana-3673	195	23	,	,	PUNCT
cana-3673	195	24	zamm	zamm	NOUN
cana-3673	195	25	75	75	NUM
cana-3673	195	26	,	,	PUNCT
cana-3673	195	27	(	(	PUNCT
cana-3673	195	28	1995),pp	1995),pp	NUM
cana-3673	195	29	.	.	PUNCT
cana-3673	196	1	599	599	NUM
cana-3673	196	2	-	-	SYM
cana-3673	196	3	604	604	NUM
cana-3673	196	4	.	.	PUNCT
cana-3673	197	1	[	[	X
cana-3673	197	2	8	8	NUM
cana-3673	197	3	]	]	X
cana-3673	197	4	k.d	k.d	PROPN
cana-3673	197	5	.	.	PROPN
cana-3673	197	6	singh	singh	PROPN
cana-3673	197	7	,	,	PUNCT
cana-3673	197	8	khem	khem	PROPN
cana-3673	197	9	chand	chand	PROPN
cana-3673	197	10	and	and	CCONJ
cana-3673	197	11	g.n	g.n	PROPN
cana-3673	197	12	.	.	PROPN
cana-3673	197	13	verma	verma	PROPN
cana-3673	197	14	,	,	PUNCT
cana-3673	197	15	heat	heat	NOUN
cana-3673	197	16	transfer	transfer	NOUN
cana-3673	197	17	in	in	ADP
cana-3673	197	18	a	a	DET
cana-3673	197	19	three	three	NUM
cana-3673	197	20	-	-	PUNCT
cana-3673	197	21	dimensional	dimensional	ADJ
cana-3673	197	22	flow	flow	NOUN
cana-3673	197	23	through	through	ADP
cana-3673	197	24	a	a	DET
cana-3673	197	25	porous	porous	ADJ
cana-3673	197	26	medium	medium	NOUN
cana-3673	197	27	with	with	ADP
cana-3673	197	28	periodic	periodic	ADJ
cana-3673	197	29	permeability	permeability	NOUN
cana-3673	197	30	,	,	PUNCT
cana-3673	197	31	zamm	zamm	PROPN
cana-3673	197	32	75	75	NUM
cana-3673	197	33	(	(	PUNCT
cana-3673	197	34	1995	1995	NUM
cana-3673	197	35	)	)	PUNCT
cana-3673	197	36	950	950	NUM
cana-3673	197	37	-	-	SYM
cana-3673	197	38	52	52	NUM
cana-3673	197	39	.	.	PUNCT
cana-3673	198	1	[	[	X
cana-3673	198	2	9	9	NUM
cana-3673	198	3	]	]	X
cana-3673	198	4	k.d	k.d	PROPN
cana-3673	198	5	.	.	PROPN
cana-3673	198	6	singh	singh	PROPN
cana-3673	198	7	and	and	CCONJ
cana-3673	198	8	rakesh	rakesh	PROPN
cana-3673	198	9	sharma	sharma	PROPN
cana-3673	198	10	,	,	PUNCT
cana-3673	198	11	three	three	NUM
cana-3673	198	12	dimensional	dimensional	ADJ
cana-3673	198	13	free	free	ADJ
cana-3673	198	14	convective	convective	ADJ
cana-3673	198	15	flow	flow	NOUN
cana-3673	198	16	and	and	CCONJ
cana-3673	198	17	heat	heat	NOUN
cana-3673	198	18	transfer	transfer	NOUN
cana-3673	198	19	through	through	ADP
cana-3673	198	20	a	a	DET
cana-3673	198	21	porous	porous	ADJ
cana-3673	198	22	medium	medium	NOUN
cana-3673	198	23	with	with	ADP
cana-3673	198	24	periodic	periodic	ADJ
cana-3673	198	25	permeability	permeability	NOUN
cana-3673	198	26	,	,	PUNCT
cana-3673	198	27	indian	indian	ADJ
cana-3673	198	28	j.	j.	PROPN
cana-3673	198	29	pure	pure	PROPN
cana-3673	198	30	appl	appl	PROPN
cana-3673	198	31	math	math	PROPN
cana-3673	198	32	.	.	PUNCT
cana-3673	199	1	33	33	NUM
cana-3673	199	2	(	(	PUNCT
cana-3673	199	3	6	6	NUM
cana-3673	199	4	)	)	PUNCT
cana-3673	199	5	(	(	PUNCT
cana-3673	199	6	2002	2002	NUM
cana-3673	199	7	)	)	PUNCT
cana-3673	199	8	,	,	PUNCT
cana-3673	199	9	pp	pp	ADP
cana-3673	199	10	941	941	NUM
cana-3673	199	11	-	-	SYM
cana-3673	199	12	949	949	NUM
cana-3673	199	13	.	.	PUNCT
cana-3673	200	1	[	[	X
cana-3673	200	2	10	10	NUM
cana-3673	200	3	]	]	X
cana-3673	200	4	n.k.vershney	n.k.vershney	NOUN
cana-3673	200	5	and	and	CCONJ
cana-3673	200	6	dharmvir	dharmvir	PROPN
cana-3673	200	7	singh	singh	PROPN
cana-3673	200	8	,	,	PUNCT
cana-3673	200	9	three	three	NUM
cana-3673	200	10	dimensional	dimensional	ADJ
cana-3673	200	11	free	free	ADJ
cana-3673	200	12	convective	convective	ADJ
cana-3673	200	13	flow	flow	NOUN
cana-3673	200	14	and	and	CCONJ
cana-3673	200	15	heat	heat	NOUN
cana-3673	200	16	and	and	CCONJ
cana-3673	200	17	mass	mass	NOUN
cana-3673	200	18	transfer	transfer	NOUN
cana-3673	200	19	through	through	ADP
cana-3673	200	20	a	a	DET
cana-3673	200	21	porous	porous	ADJ
cana-3673	200	22	medium	medium	NOUN
cana-3673	200	23	with	with	ADP
cana-3673	200	24	periodic	periodic	ADJ
cana-3673	200	25	permeability	permeability	NOUN
cana-3673	200	26	,	,	PUNCT
cana-3673	200	27	bull.cal.math.soc	bull.cal.math.soc	NOUN
cana-3673	200	28	,	,	PUNCT
cana-3673	200	29	97(2	97(2	NUM
cana-3673	200	30	)	)	PUNCT
cana-3673	200	31	(	(	PUNCT
cana-3673	200	32	2005	2005	NUM
cana-3673	200	33	)	)	PUNCT
cana-3673	200	34	,	,	PUNCT
cana-3673	200	35	pp	pp	ADP
cana-3673	200	36	95	95	NUM
cana-3673	200	37	-	-	SYM
cana-3673	200	38	106	106	NUM
cana-3673	200	39	.	.	PUNCT
cana-3673	201	1	[	[	X
cana-3673	201	2	11	11	NUM
cana-3673	201	3	]	]	PUNCT
cana-3673	201	4	n.c.jain	n.c.jain	ADJ
cana-3673	201	5	,	,	PUNCT
cana-3673	201	6	b.	b.	PROPN
cana-3673	201	7	sharma	sharma	PROPN
cana-3673	201	8	and	and	CCONJ
cana-3673	201	9	d.k	d.k	PROPN
cana-3673	201	10	.	.	PROPN
cana-3673	201	11	vijay	vijay	PROPN
cana-3673	201	12	,	,	PUNCT
cana-3673	201	13	“	"	PUNCT
cana-3673	201	14	three	three	NUM
cana-3673	201	15	dimensional	dimensional	ADJ
cana-3673	201	16	free	free	ADJ
cana-3673	201	17	convective	convective	ADJ
cana-3673	201	18	flow	flow	NOUN
cana-3673	201	19	heat	heat	NOUN
cana-3673	201	20	transfer	transfer	NOUN
cana-3673	201	21	flow	flow	NOUN
cana-3673	201	22	through	through	ADP
cana-3673	201	23	a	a	DET
cana-3673	201	24	porous	porous	ADJ
cana-3673	201	25	medium	medium	NOUN
cana-3673	201	26	with	with	ADP
cana-3673	201	27	periodic	periodic	ADJ
cana-3673	201	28	permeability	permeability	NOUN
cana-3673	201	29	in	in	ADP
cana-3673	201	30	slip	slip	NOUN
cana-3673	201	31	flow	flow	NOUN
cana-3673	201	32	regime	regime	NOUN
cana-3673	201	33	,	,	PUNCT
cana-3673	201	34	”	"	PUNCT
cana-3673	201	35	j.	j.	PROPN
cana-3673	201	36	energy	energy	PROPN
cana-3673	201	37	,	,	PUNCT
cana-3673	201	38	heat	heat	NOUN
cana-3673	201	39	&	&	CCONJ
cana-3673	201	40	mass	mass	NOUN
cana-3673	201	41	transfer	transfer	NOUN
cana-3673	201	42	,	,	PUNCT
cana-3673	201	43	28(1	28(1	NOUN
cana-3673	201	44	)	)	PUNCT
cana-3673	201	45	(	(	PUNCT
cana-3673	201	46	2006	2006	NUM
cana-3673	201	47	)	)	PUNCT
cana-3673	201	48	,	,	PUNCT
cana-3673	201	49	pp	pp	PROPN
cana-3673	201	50	.	.	PUNCT
cana-3673	202	1	29	29	NUM
cana-3673	202	2	-	-	SYM
cana-3673	202	3	44	44	NUM
cana-3673	202	4	.	.	PUNCT
cana-3673	203	1	[	[	X
cana-3673	203	2	12	12	NUM
cana-3673	203	3	]	]	PUNCT
cana-3673	203	4	k.srihari	k.srihari	X
cana-3673	203	5	,	,	PUNCT
cana-3673	203	6	j.anand	j.anand	NOUN
cana-3673	203	7	rao	rao	PROPN
cana-3673	203	8	,	,	PUNCT
cana-3673	203	9	mhd	mhd	VERB
cana-3673	203	10	three	three	NUM
cana-3673	203	11	dimensional	dimensional	ADJ
cana-3673	203	12	free	free	ADJ
cana-3673	203	13	convective	convective	ADJ
cana-3673	203	14	flow	flow	NOUN
cana-3673	203	15	with	with	ADP
cana-3673	203	16	heat	heat	NOUN
cana-3673	203	17	and	and	CCONJ
cana-3673	203	18	mass	mass	NOUN
cana-3673	203	19	transfer	transfer	NOUN
cana-3673	203	20	through	through	ADP
cana-3673	203	21	a	a	DET
cana-3673	203	22	porous	porous	ADJ
cana-3673	203	23	medium	medium	NOUN
cana-3673	203	24	with	with	ADP
cana-3673	203	25	periodic	periodic	ADJ
cana-3673	203	26	permeability	permeability	NOUN
cana-3673	203	27	,	,	PUNCT
cana-3673	203	28	journal	journal	NOUN
cana-3673	203	29	of	of	ADP
cana-3673	203	30	the	the	DET
cana-3673	203	31	institution	institution	NOUN
cana-3673	203	32	of	of	ADP
cana-3673	203	33	engineers(india	engineers(india	PROPN
cana-3673	203	34	)	)	PUNCT
cana-3673	203	35	,	,	PUNCT
cana-3673	203	36	(	(	PUNCT
cana-3673	203	37	2008).89	2008).89	NUM
cana-3673	203	38	,	,	PUNCT
cana-3673	203	39	pp	pp	ADV
cana-3673	203	40	23	23	NUM
cana-3673	203	41	-	-	SYM
cana-3673	203	42	30	30	NUM
cana-3673	203	43	.	.	PUNCT