id	sid	tid	token	lemma	pos
m-832	1	1	ijo	ijo	PROPN
m-832	1	2	international	international	PROPN
m-832	1	3	journal	journal	PROPN
m-832	1	4	of	of	ADP
m-832	1	5	mathematics	mathematics	PROPN
m-832	1	6	(	(	PUNCT
m-832	1	7	issn	issn	PROPN
m-832	1	8	:	:	PUNCT
m-832	1	9	2992	2992	NUM
m-832	1	10	-	-	SYM
m-832	1	11	4421	4421	NUM
m-832	1	12	)	)	PUNCT
m-832	2	1	prakasha.p1	prakasha.p1	PROPN
m-832	2	2	*	*	PUNCT
m-832	2	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	2	4	volume	volume	NOUN
m-832	2	5	07	07	NUM
m-832	2	6	issue	issue	NOUN
m-832	2	7	04	04	NUM
m-832	2	8	||	||	NOUN
m-832	2	9	april	april	PROPN
m-832	2	10	,	,	PUNCT
m-832	2	11	2024	2024	NUM
m-832	2	12	||	||	NOUN
m-832	2	13	mathematical	mathematical	ADJ
m-832	2	14	analysis	analysis	NOUN
m-832	2	15	of	of	ADP
m-832	2	16	effect	effect	NOUN
m-832	2	17	of	of	ADP
m-832	2	18	viscous	viscous	ADJ
m-832	2	19	dissipation	dissipation	NOUN
m-832	2	20	on	on	ADP
m-832	2	21	transient	transient	ADJ
m-832	2	22	mhd	mhd	PROPN
m-832	2	23	convective	convective	ADJ
m-832	2	24	heat	heat	NOUN
m-832	2	25	transfer	transfer	NOUN
m-832	2	26	through	through	ADP
m-832	2	27	a	a	DET
m-832	2	28	porous	porous	ADJ
m-832	2	29	medium	medium	NOUN
m-832	2	30	in	in	ADP
m-832	2	31	a	a	DET
m-832	2	32	vertical	vertical	ADJ
m-832	2	33	channel	channel	NOUN
m-832	2	34	mathematical	mathematical	ADJ
m-832	2	35	analysis	analysis	NOUN
m-832	2	36	of	of	ADP
m-832	2	37	effect	effect	NOUN
m-832	2	38	of	of	ADP
m-832	2	39	viscous	viscous	ADJ
m-832	2	40	dissipation	dissipation	NOUN
m-832	2	41	on	on	ADP
m-832	2	42	transient	transient	ADJ
m-832	2	43	mhd	mhd	PROPN
m-832	2	44	convective	convective	ADJ
m-832	2	45	heat	heat	NOUN
m-832	2	46	transfer	transfer	NOUN
m-832	2	47	through	through	ADP
m-832	2	48	a	a	DET
m-832	2	49	porous	porous	ADJ
m-832	2	50	medium	medium	NOUN
m-832	2	51	in	in	ADP
m-832	2	52	a	a	DET
m-832	2	53	vertical	vertical	ADJ
m-832	2	54	channel	channel	NOUN
m-832	2	55	prakasha.p1	prakasha.p1	PROPN
m-832	2	56	,	,	PUNCT
m-832	2	57	prof	prof	PROPN
m-832	2	58	.	.	PUNCT
m-832	3	1	k.	k.	PROPN
m-832	3	2	shivashankara2	shivashankara2	PROPN
m-832	3	3	,	,	PUNCT
m-832	3	4	venuprasad	venuprasad	PROPN
m-832	3	5	k.	k.	PROPN
m-832	3	6	k.3	k.3	PROPN
m-832	3	7	,	,	PUNCT
m-832	3	8	dhananjaiah	dhananjaiah	PROPN
m-832	3	9	d.	d.	PROPN
m-832	3	10	s4	s4	PROPN
m-832	3	11	.	.	PUNCT
m-832	4	1	1department	1department	NUM
m-832	4	2	of	of	ADP
m-832	4	3	mathematics	mathematic	NOUN
m-832	4	4	,	,	PUNCT
m-832	4	5	government	government	NOUN
m-832	4	6	first	first	ADJ
m-832	4	7	grade	grade	NOUN
m-832	4	8	college	college	NOUN
m-832	4	9	,	,	PUNCT
m-832	4	10	magadi	magadi	NOUN
m-832	4	11	,	,	PUNCT
m-832	4	12	ramanagar	ramanagar	NOUN
m-832	4	13	,	,	PUNCT
m-832	4	14	india	india	PROPN
m-832	4	15	e	e	PROPN
m-832	4	16	-	-	NOUN
m-832	4	17	mail	mail	NOUN
m-832	4	18	i	i	NOUN
m-832	4	19	d	d	NOUN
m-832	4	20	:	:	PUNCT
m-832	5	1	profprakasha@gmail.com	profprakasha@gmail.com	X
m-832	6	1	2department	2department	NUM
m-832	6	2	of	of	ADP
m-832	6	3	mathematics	mathematic	NOUN
m-832	6	4	,	,	PUNCT
m-832	6	5	yuvaraja	yuvaraja	PROPN
m-832	6	6	’s	’s	PART
m-832	6	7	college	college	NOUN
m-832	6	8	,	,	PUNCT
m-832	6	9	university	university	NOUN
m-832	6	10	of	of	ADP
m-832	6	11	mysore	mysore	NOUN
m-832	6	12	,	,	PUNCT
m-832	6	13	mysore	mysore	PROPN
m-832	6	14	,	,	PUNCT
m-832	6	15	india	india	PROPN
m-832	6	16	e	e	PROPN
m-832	6	17	-	-	NOUN
m-832	6	18	mail	mail	NOUN
m-832	6	19	i	i	NOUN
m-832	6	20	d	d	PROPN
m-832	6	21	:	:	PUNCT
m-832	7	1	drksshankara@gmail.com	drksshankara@gmail.com	X
m-832	7	2	3department	3department	NUM
m-832	7	3	of	of	ADP
m-832	7	4	mathematics	mathematic	NOUN
m-832	7	5	,	,	PUNCT
m-832	7	6	government	government	NOUN
m-832	7	7	first	first	ADJ
m-832	7	8	grade	grade	NOUN
m-832	7	9	college	college	NOUN
m-832	7	10	k.r.pete	k.r.pete	NOUN
m-832	7	11	,	,	PUNCT
m-832	7	12	mandya	mandya	PROPN
m-832	7	13	,	,	PUNCT
m-832	7	14	india	india	PROPN
m-832	7	15	e	e	PROPN
m-832	7	16	-	-	NOUN
m-832	7	17	mail	mail	NOUN
m-832	7	18	i	i	NOUN
m-832	7	19	d	d	NOUN
m-832	7	20	:	:	PUNCT
m-832	8	1	kkvpmaths@gmail.com	kkvpmaths@gmail.com	X
m-832	8	2	4department	4department	NUM
m-832	8	3	of	of	ADP
m-832	8	4	mathematics	mathematic	NOUN
m-832	8	5	,	,	PUNCT
m-832	8	6	government	government	NOUN
m-832	8	7	first	first	ADJ
m-832	8	8	grade	grade	NOUN
m-832	8	9	college	college	NOUN
m-832	8	10	k.r.nagar	k.r.nagar	NOUN
m-832	8	11	,	,	PUNCT
m-832	8	12	mysuru	mysuru	PROPN
m-832	8	13	,	,	PUNCT
m-832	8	14	india	india	PROPN
m-832	8	15	e	e	PROPN
m-832	8	16	-	-	NOUN
m-832	8	17	mail	mail	NOUN
m-832	8	18	i	i	NOUN
m-832	8	19	d	d	NOUN
m-832	8	20	:	:	PUNCT
m-832	8	21	dhanu2614@gmail.com	dhanu2614@gmail.com	X
m-832	9	1	abstract	abstract	ADJ
m-832	9	2	:	:	PUNCT
m-832	9	3	we	we	PRON
m-832	9	4	analysed	analyse	VERB
m-832	9	5	the	the	DET
m-832	9	6	unsteady	unsteady	ADJ
m-832	9	7	mhd	mhd	NOUN
m-832	9	8	free	free	ADJ
m-832	9	9	connective	connective	ADJ
m-832	9	10	flow	flow	NOUN
m-832	9	11	through	through	ADP
m-832	9	12	a	a	DET
m-832	9	13	porous	porous	ADJ
m-832	9	14	medium	medium	NOUN
m-832	9	15	in	in	ADP
m-832	9	16	a	a	DET
m-832	9	17	vertical	vertical	ADJ
m-832	9	18	channel	channel	NOUN
m-832	9	19	with	with	ADP
m-832	9	20	the	the	DET
m-832	9	21	unsteadiness	unsteadiness	NOUN
m-832	9	22	in	in	ADP
m-832	9	23	the	the	DET
m-832	9	24	flow	flow	NOUN
m-832	9	25	is	be	AUX
m-832	9	26	due	due	ADJ
m-832	9	27	to	to	ADP
m-832	9	28	the	the	DET
m-832	9	29	travelling	travel	VERB
m-832	9	30	thermal	thermal	ADJ
m-832	9	31	wave	wave	NOUN
m-832	9	32	imposed	impose	VERB
m-832	9	33	on	on	ADP
m-832	9	34	the	the	DET
m-832	9	35	wall	wall	NOUN
m-832	9	36	y	y	PROPN
m-832	9	37	=	=	PROPN
m-832	9	38	l.	l.	PROPN
m-832	9	39	the	the	DET
m-832	9	40	coupled	couple	VERB
m-832	9	41	mhd	mhd	PROPN
m-832	9	42	equations	equation	NOUN
m-832	9	43	governing	govern	VERB
m-832	9	44	the	the	DET
m-832	9	45	flow	flow	NOUN
m-832	9	46	and	and	CCONJ
m-832	9	47	heat	heat	NOUN
m-832	9	48	transfer	transfer	NOUN
m-832	9	49	have	have	AUX
m-832	9	50	been	be	AUX
m-832	9	51	solved	solve	VERB
m-832	9	52	by	by	ADP
m-832	9	53	using	use	VERB
m-832	9	54	a	a	DET
m-832	9	55	perturbation	perturbation	NOUN
m-832	9	56	technique	technique	NOUN
m-832	9	57	with	with	ADP
m-832	9	58	the	the	DET
m-832	9	59	aspect	aspect	NOUN
m-832	9	60	ratio	ratio	NOUN
m-832	9	61	as	as	ADP
m-832	9	62	perturbation	perturbation	NOUN
m-832	9	63	parameter	parameter	NOUN
m-832	9	64	.	.	PUNCT
m-832	10	1	the	the	DET
m-832	10	2	expression	expression	NOUN
m-832	10	3	for	for	ADP
m-832	10	4	the	the	DET
m-832	10	5	velocity	velocity	NOUN
m-832	10	6	,	,	PUNCT
m-832	10	7	the	the	DET
m-832	10	8	temperature	temperature	NOUN
m-832	10	9	,	,	PUNCT
m-832	10	10	the	the	DET
m-832	10	11	shear	shear	NOUN
m-832	10	12	stress	stress	NOUN
m-832	10	13	and	and	CCONJ
m-832	10	14	the	the	DET
m-832	10	15	rate	rate	NOUN
m-832	10	16	of	of	ADP
m-832	10	17	heat	heat	NOUN
m-832	10	18	transfer	transfer	NOUN
m-832	10	19	are	be	AUX
m-832	10	20	derived	derive	VERB
m-832	10	21	and	and	CCONJ
m-832	10	22	are	be	AUX
m-832	10	23	analysed	analyse	VERB
m-832	10	24	for	for	ADP
m-832	10	25	different	different	ADJ
m-832	10	26	variations	variation	NOUN
m-832	10	27	of	of	ADP
m-832	10	28	the	the	DET
m-832	10	29	governing	govern	VERB
m-832	10	30	parameters	parameter	NOUN
m-832	10	31	g	g	PROPN
m-832	10	32	,	,	PUNCT
m-832	10	33	r,	r,	PROPN
m-832	10	34	and	and	CCONJ
m-832	10	35	.	.	ADJ
m-832	10	36	key	key	ADJ
m-832	10	37	words	word	NOUN
m-832	10	38	:	:	PUNCT
m-832	10	39	convection	convection	NOUN
m-832	10	40	,	,	PUNCT
m-832	10	41	porous	porous	ADJ
m-832	10	42	medium	medium	NOUN
m-832	10	43	,	,	PUNCT
m-832	10	44	magneticfield	magneticfield	NOUN
m-832	10	45	and	and	CCONJ
m-832	10	46	dissipation	dissipation	NOUN
m-832	10	47	.	.	PUNCT
m-832	11	1	1	1	X
m-832	11	2	.	.	X
m-832	11	3	introduction	introduction	NOUN
m-832	11	4	:	:	PUNCT
m-832	11	5	the	the	DET
m-832	11	6	energy	energy	NOUN
m-832	11	7	crisis	crisis	NOUN
m-832	11	8	has	have	AUX
m-832	11	9	been	be	AUX
m-832	11	10	a	a	DET
m-832	11	11	topic	topic	NOUN
m-832	11	12	of	of	ADP
m-832	11	13	great	great	ADJ
m-832	11	14	importance	importance	NOUN
m-832	11	15	in	in	ADP
m-832	11	16	recent	recent	ADJ
m-832	11	17	years	year	NOUN
m-832	11	18	all	all	ADV
m-832	11	19	over	over	ADP
m-832	11	20	the	the	DET
m-832	11	21	world	world	NOUN
m-832	11	22	.this	.this	PRON
m-832	11	23	has	have	AUX
m-832	11	24	resulted	result	VERB
m-832	11	25	in	in	ADP
m-832	11	26	an	an	DET
m-832	11	27	unabated	unabated	ADJ
m-832	11	28	exploration	exploration	NOUN
m-832	11	29	for	for	ADP
m-832	11	30	new	new	ADJ
m-832	11	31	ideas	idea	NOUN
m-832	11	32	and	and	CCONJ
m-832	11	33	avenues	avenue	NOUN
m-832	11	34	in	in	ADP
m-832	11	35	harnessing	harness	VERB
m-832	11	36	various	various	ADJ
m-832	11	37	conventional	conventional	ADJ
m-832	11	38	energy	energy	NOUN
m-832	11	39	sources	source	NOUN
m-832	11	40	like	like	ADP
m-832	11	41	tidal	tidal	ADJ
m-832	11	42	waves	wave	NOUN
m-832	11	43	,	,	PUNCT
m-832	11	44	wind	wind	NOUN
m-832	11	45	power	power	NOUN
m-832	11	46	and	and	CCONJ
m-832	11	47	geothermal	geothermal	ADJ
m-832	11	48	energy	energy	NOUN
m-832	11	49	.	.	PUNCT
m-832	12	1	it	it	PRON
m-832	12	2	is	be	AUX
m-832	12	3	well	well	ADV
m-832	12	4	known	know	VERB
m-832	12	5	that	that	SCONJ
m-832	12	6	in	in	ADP
m-832	12	7	order	order	NOUN
m-832	12	8	to	to	ADP
m-832	12	9	harness	harness	ADJ
m-832	12	10	maximal	maximal	ADJ
m-832	12	11	geothermal	geothermal	ADJ
m-832	12	12	energy	energy	NOUN
m-832	12	13	one	one	PRON
m-832	12	14	should	should	AUX
m-832	12	15	have	have	VERB
m-832	12	16	complete	complete	ADJ
m-832	12	17	and	and	CCONJ
m-832	12	18	precise	precise	ADJ
m-832	12	19	knowledge	knowledge	NOUN
m-832	12	20	of	of	ADP
m-832	12	21	quanta	quanta	PROPN
m-832	12	22	of	of	ADP
m-832	12	23	perturbation	perturbation	NOUN
m-832	12	24	needed	need	VERB
m-832	12	25	to	to	PART
m-832	12	26	initiate	initiate	VERB
m-832	12	27	convection	convection	NOUN
m-832	12	28	currents	current	NOUN
m-832	12	29	in	in	ADP
m-832	12	30	mineral	mineral	NOUN
m-832	12	31	fluids	fluid	NOUN
m-832	12	32	embedded	embed	VERB
m-832	12	33	in	in	ADP
m-832	12	34	the	the	DET
m-832	12	35	earth	earth	NOUN
m-832	12	36	’s	’s	PART
m-832	12	37	crest	crest	NOUN
m-832	12	38	enables	enable	VERB
m-832	12	39	one	one	NUM
m-832	12	40	to	to	PART
m-832	12	41	use	use	VERB
m-832	12	42	mineral	mineral	NOUN
m-832	12	43	energy	energy	NOUN
m-832	12	44	to	to	PART
m-832	12	45	extract	extract	VERB
m-832	12	46	the	the	DET
m-832	12	47	minerals	mineral	NOUN
m-832	12	48	.convection	.convection	NOUN
m-832	12	49	fluid	fluid	NOUN
m-832	12	50	flows	flow	NOUN
m-832	12	51	generated	generate	VERB
m-832	12	52	by	by	ADP
m-832	12	53	travelling	travel	VERB
m-832	12	54	thermal	thermal	ADJ
m-832	12	55	waves	wave	NOUN
m-832	12	56	have	have	AUX
m-832	12	57	also	also	ADV
m-832	12	58	received	receive	VERB
m-832	12	59	attention	attention	NOUN
m-832	12	60	due	due	ADP
m-832	12	61	to	to	ADP
m-832	12	62	applications	application	NOUN
m-832	12	63	in	in	ADP
m-832	12	64	physical	physical	ADJ
m-832	12	65	problems	problem	NOUN
m-832	12	66	.	.	PUNCT
m-832	13	1	the	the	DET
m-832	13	2	linearised	linearise	VERB
m-832	13	3	analysis	analysis	NOUN
m-832	13	4	of	of	ADP
m-832	13	5	these	these	DET
m-832	13	6	flows	flow	NOUN
m-832	13	7	has	have	AUX
m-832	13	8	shown	show	VERB
m-832	13	9	that	that	SCONJ
m-832	13	10	a	a	DET
m-832	13	11	travelling	travel	VERB
m-832	13	12	thermal	thermal	ADJ
m-832	13	13	wave	wave	NOUN
m-832	13	14	cal	cal	PROPN
m-832	13	15	generate	generate	VERB
m-832	13	16	a	a	DET
m-832	13	17	mean	mean	ADJ
m-832	13	18	shear	shear	NOUN
m-832	13	19	flow	flow	NOUN
m-832	13	20	within	within	ADP
m-832	13	21	a	a	DET
m-832	13	22	layer	layer	NOUN
m-832	13	23	of	of	ADP
m-832	13	24	fluid	fluid	NOUN
m-832	13	25	,	,	PUNCT
m-832	13	26	and	and	CCONJ
m-832	13	27	the	the	DET
m-832	13	28	induced	induced	ADJ
m-832	13	29	mean	mean	NOUN
m-832	13	30	flow	flow	NOUN
m-832	13	31	is	be	AUX
m-832	13	32	proportional	proportional	ADJ
m-832	13	33	to	to	ADP
m-832	13	34	the	the	DET
m-832	13	35	square	square	NOUN
m-832	13	36	of	of	ADP
m-832	13	37	the	the	DET
m-832	13	38	amplitude	amplitude	NOUN
m-832	13	39	of	of	ADP
m-832	13	40	the	the	DET
m-832	13	41	wave	wave	NOUN
m-832	13	42	.	.	PUNCT
m-832	14	1	from	from	ADP
m-832	14	2	a	a	DET
m-832	14	3	physical	physical	ADJ
m-832	14	4	point	point	NOUN
m-832	14	5	of	of	ADP
m-832	14	6	view	view	NOUN
m-832	14	7	,	,	PUNCT
m-832	14	8	the	the	DET
m-832	14	9	motion	motion	NOUN
m-832	14	10	induced	induce	VERB
m-832	14	11	by	by	ADP
m-832	14	12	travelling	travel	VERB
m-832	14	13	thermal	thermal	ADJ
m-832	14	14	waves	wave	NOUN
m-832	14	15	is	be	AUX
m-832	14	16	quite	quite	ADV
m-832	14	17	interesting	interesting	ADJ
m-832	14	18	as	as	ADP
m-832	14	19	a	a	DET
m-832	14	20	purely	purely	ADV
m-832	14	21	fluiddynamical	fluiddynamical	ADJ
m-832	14	22	problem	problem	NOUN
m-832	14	23	and	and	CCONJ
m-832	14	24	can	can	AUX
m-832	14	25	be	be	AUX
m-832	14	26	used	use	VERB
m-832	14	27	as	as	ADP
m-832	14	28	a	a	DET
m-832	14	29	possible	possible	ADJ
m-832	14	30	explanation	explanation	NOUN
m-832	14	31	for	for	ADP
m-832	14	32	the	the	DET
m-832	14	33	observed	observed	ADJ
m-832	14	34	four	four	NUM
m-832	14	35	-	-	PUNCT
m-832	14	36	day	day	NOUN
m-832	14	37	retrograde	retrograde	ADJ
m-832	14	38	zonal	zonal	ADJ
m-832	14	39	motion	motion	NOUN
m-832	14	40	of	of	ADP
m-832	14	41	the	the	DET
m-832	14	42	upper	upper	ADJ
m-832	14	43	atmosphere	atmosphere	NOUN
m-832	14	44	of	of	ADP
m-832	14	45	venus	venus	PROPN
m-832	14	46	.	.	PUNCT
m-832	15	1	all	all	DET
m-832	15	2	the	the	DET
m-832	15	3	above	above	ADV
m-832	15	4	mentioned	mention	VERB
m-832	15	5	studies	study	NOUN
m-832	15	6	are	be	AUX
m-832	15	7	based	base	VERB
m-832	15	8	on	on	ADP
m-832	15	9	the	the	DET
m-832	15	10	hypothesis	hypothesis	NOUN
m-832	15	11	that	that	SCONJ
m-832	15	12	the	the	DET
m-832	15	13	effect	effect	NOUN
m-832	15	14	of	of	ADP
m-832	15	15	dissipation	dissipation	NOUN
m-832	15	16	is	be	AUX
m-832	15	17	neglected	neglect	VERB
m-832	15	18	.	.	PUNCT
m-832	16	1	this	this	PRON
m-832	16	2	is	be	AUX
m-832	16	3	possible	possible	ADJ
m-832	16	4	in	in	ADP
m-832	16	5	case	case	NOUN
m-832	16	6	of	of	ADP
m-832	16	7	ordinary	ordinary	ADJ
m-832	16	8	fluid	fluid	ADJ
m-832	16	9	flow	flow	NOUN
m-832	16	10	like	like	ADP
m-832	16	11	air	air	NOUN
m-832	16	12	and	and	CCONJ
m-832	16	13	water	water	NOUN
m-832	16	14	under	under	ADP
m-832	16	15	gravitational	gravitational	ADJ
m-832	16	16	force	force	NOUN
m-832	16	17	.but	.but	PUNCT
m-832	17	1	this	this	DET
m-832	17	2	effect	effect	NOUN
m-832	17	3	is	be	AUX
m-832	17	4	excepted	except	VERB
m-832	17	5	to	to	PART
m-832	17	6	be	be	AUX
m-832	17	7	relevant	relevant	ADJ
m-832	17	8	for	for	ADP
m-832	17	9	fluids	fluid	NOUN
m-832	17	10	with	with	ADP
m-832	17	11	high	high	ADJ
m-832	17	12	values	value	NOUN
m-832	17	13	of	of	ADP
m-832	17	14	the	the	DET
m-832	17	15	dynamic	dynamic	ADJ
m-832	17	16	viscosity	viscosity	NOUN
m-832	17	17	flows	flow	VERB
m-832	17	18	.	.	PUNCT
m-832	18	1	in	in	ADP
m-832	18	2	view	view	NOUN
m-832	18	3	if	if	SCONJ
m-832	18	4	this	this	PRON
m-832	18	5	,	,	PUNCT
m-832	18	6	several	several	ADJ
m-832	18	7	authors	author	NOUN
m-832	18	8	notably	notably	ADV
m-832	18	9	barletta	barletta	PROPN
m-832	19	1	[	[	X
m-832	19	2	1,2	1,2	NUM
m-832	19	3	]	]	PUNCT
m-832	19	4	,	,	PUNCT
m-832	19	5	bulent	bulent	NOUN
m-832	19	6	yesilata	yesilata	NOUN
m-832	20	1	[	[	X
m-832	20	2	3	3	X
m-832	20	3	]	]	PUNCT
m-832	20	4	,	,	PUNCT
m-832	20	5	elhakein	elhakein	NOUN
m-832	21	1	[	[	X
m-832	21	2	4	4	NUM
m-832	21	3	]	]	PUNCT
m-832	21	4	,	,	PUNCT
m-832	21	5	israel	israel	PROPN
m-832	21	6	et	et	PROPN
m-832	21	7	al[5	al[5	PROPN
m-832	21	8	]	]	PUNCT
m-832	21	9	and	and	CCONJ
m-832	21	10	rossidischio	rossidischio	VERB
m-832	21	11	[	[	X
m-832	21	12	6	6	NUM
m-832	21	13	]	]	PUNCT
m-832	21	14	have	have	AUX
m-832	21	15	studied	study	VERB
m-832	21	16	the	the	DET
m-832	21	17	effect	effect	NOUN
m-832	21	18	of	of	ADP
m-832	21	19	viscous	viscous	ADJ
m-832	21	20	dissipation	dissipation	NOUN
m-832	21	21	on	on	ADP
m-832	21	22	the	the	DET
m-832	21	23	convective	convective	NOUN
m-832	21	24	flows	flow	NOUN
m-832	21	25	past	past	ADP
m-832	21	26	an	an	DET
m-832	21	27	infinite	infinite	ADJ
m-832	21	28	vertical	vertical	ADJ
m-832	21	29	plate	plate	NOUN
m-832	21	30	and	and	CCONJ
m-832	21	31	through	through	ADP
m-832	21	32	vertical	vertical	ADJ
m-832	21	33	channels	channel	NOUN
m-832	21	34	and	and	CCONJ
m-832	21	35	ducts	duct	NOUN
m-832	21	36	.	.	PUNCT
m-832	22	1	in	in	ADP
m-832	22	2	recent	recent	ADJ
m-832	22	3	years	year	NOUN
m-832	22	4	,	,	PUNCT
m-832	22	5	a	a	DET
m-832	22	6	great	great	ADJ
m-832	22	7	deal	deal	NOUN
m-832	22	8	of	of	ADP
m-832	22	9	interest	interest	NOUN
m-832	22	10	has	have	AUX
m-832	22	11	been	be	AUX
m-832	22	12	generated	generate	VERB
m-832	22	13	in	in	ADP
m-832	22	14	the	the	DET
m-832	22	15	area	area	NOUN
m-832	22	16	of	of	ADP
m-832	22	17	boundary	boundary	ADJ
m-832	22	18	layer	layer	NOUN
m-832	22	19	flow	flow	NOUN
m-832	22	20	and	and	CCONJ
m-832	22	21	heat	heat	NOUN
m-832	22	22	transfer	transfer	NOUN
m-832	22	23	of	of	ADP
m-832	22	24	a	a	DET
m-832	22	25	fluid	fluid	NOUN
m-832	22	26	over	over	ADP
m-832	22	27	a	a	DET
m-832	22	28	stretching	stretch	VERB
m-832	22	29	sheet	sheet	NOUN
m-832	22	30	in	in	ADP
m-832	22	31	view	view	NOUN
m-832	22	32	of	of	ADP
m-832	22	33	its	its	PRON
m-832	22	34	numerous	numerous	ADJ
m-832	22	35	and	and	CCONJ
m-832	22	36	wide	wide	ADJ
m-832	22	37	range	range	NOUN
m-832	22	38	of	of	ADP
m-832	22	39	applications	application	NOUN
m-832	22	40	in	in	ADP
m-832	22	41	various	various	ADJ
m-832	22	42	fields	field	NOUN
m-832	22	43	such	such	ADJ
m-832	22	44	as	as	ADP
m-832	22	45	polymer	polymer	NOUN
m-832	22	46	processing	processing	NOUN
m-832	22	47	industry	industry	NOUN
m-832	22	48	in	in	ADP
m-832	22	49	particular	particular	ADJ
m-832	22	50	manufacturing	manufacturing	NOUN
m-832	22	51	ijo	ijo	PROPN
m-832	22	52	journals	journal	NOUN
m-832	22	53	volume	volume	NOUN
m-832	22	54	07	07	NUM
m-832	22	55	|	|	ADV
m-832	22	56	issue	issue	NOUN
m-832	22	57	04	04	NUM
m-832	23	1	|	|	CCONJ
m-832	23	2	april	april	PROPN
m-832	23	3	2024	2024	NUM
m-832	24	1	|	|	ADV
m-832	24	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	24	3	1	1	NUM
m-832	24	4	mailto:profprakasha@gmail.com	mailto:profprakasha@gmail.com	NOUN
m-832	24	5	mailto:drksshankara@gmail.com	mailto:drksshankara@gmail.com	PROPN
m-832	24	6	mailto:kkvpmaths@gmail.com	mailto:kkvpmaths@gmail.com	X
m-832	25	1	mailto:dhanu2614@gmail.com	mailto:dhanu2614@gmail.com	PROPN
m-832	25	2	ijo	ijo	PROPN
m-832	25	3	international	international	PROPN
m-832	25	4	journal	journal	PROPN
m-832	25	5	of	of	ADP
m-832	25	6	mathematics	mathematics	PROPN
m-832	25	7	(	(	PUNCT
m-832	25	8	issn	issn	PROPN
m-832	25	9	:	:	PUNCT
m-832	25	10	2992	2992	NUM
m-832	25	11	-	-	SYM
m-832	25	12	4421	4421	NUM
m-832	25	13	)	)	PUNCT
m-832	26	1	prakasha.p1	prakasha.p1	PROPN
m-832	26	2	*	*	PUNCT
m-832	26	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	26	4	volume	volume	NOUN
m-832	26	5	07	07	NUM
m-832	26	6	issue	issue	NOUN
m-832	26	7	04	04	NUM
m-832	26	8	||	||	NOUN
m-832	26	9	april	april	PROPN
m-832	26	10	,	,	PUNCT
m-832	26	11	2024	2024	NUM
m-832	26	12	||	||	NOUN
m-832	26	13	mathematical	mathematical	ADJ
m-832	26	14	analysis	analysis	NOUN
m-832	26	15	of	of	ADP
m-832	26	16	effect	effect	NOUN
m-832	26	17	of	of	ADP
m-832	26	18	viscous	viscous	ADJ
m-832	26	19	dissipation	dissipation	NOUN
m-832	26	20	on	on	ADP
m-832	26	21	transient	transient	ADJ
m-832	26	22	mhd	mhd	PROPN
m-832	26	23	convective	convective	ADJ
m-832	26	24	heat	heat	NOUN
m-832	26	25	transfer	transfer	NOUN
m-832	26	26	through	through	ADP
m-832	26	27	a	a	DET
m-832	26	28	porous	porous	ADJ
m-832	26	29	medium	medium	NOUN
m-832	26	30	in	in	ADP
m-832	26	31	a	a	DET
m-832	26	32	vertical	vertical	ADJ
m-832	26	33	channel	channel	NOUN
m-832	26	34	process	process	NOUN
m-832	26	35	of	of	ADP
m-832	26	36	artificial	artificial	ADJ
m-832	26	37	films	film	NOUN
m-832	26	38	,	,	PUNCT
m-832	26	39	artificial	artificial	ADJ
m-832	26	40	fibers	fiber	NOUN
m-832	26	41	,	,	PUNCT
m-832	26	42	and	and	CCONJ
m-832	26	43	dilute	dilute	VERB
m-832	26	44	polymer	polymer	NOUN
m-832	26	45	solutions	solution	NOUN
m-832	26	46	.	.	PUNCT
m-832	27	1	to	to	PART
m-832	27	2	be	be	AUX
m-832	27	3	more	more	ADV
m-832	27	4	specific	specific	ADJ
m-832	27	5	,	,	PUNCT
m-832	27	6	it	it	PRON
m-832	27	7	may	may	AUX
m-832	27	8	be	be	AUX
m-832	27	9	pointed	point	VERB
m-832	27	10	out	out	ADP
m-832	27	11	that	that	SCONJ
m-832	27	12	many	many	ADJ
m-832	27	13	metallurgical	metallurgical	ADJ
m-832	27	14	processes	process	NOUN
m-832	27	15	involve	involve	VERB
m-832	27	16	the	the	DET
m-832	27	17	cooling	cooling	NOUN
m-832	27	18	of	of	ADP
m-832	27	19	continuous	continuous	ADJ
m-832	27	20	strips	strip	NOUN
m-832	27	21	or	or	CCONJ
m-832	27	22	filaments	filament	NOUN
m-832	27	23	by	by	ADP
m-832	27	24	drawing	draw	VERB
m-832	27	25	them	they	PRON
m-832	27	26	through	through	ADP
m-832	27	27	a	a	DET
m-832	27	28	quiescent	quiescent	ADJ
m-832	27	29	fluid	fluid	NOUN
m-832	27	30	,	,	PUNCT
m-832	27	31	and	and	CCONJ
m-832	27	32	in	in	ADP
m-832	27	33	the	the	DET
m-832	27	34	process	process	NOUN
m-832	27	35	of	of	ADP
m-832	27	36	drawing	drawing	NOUN
m-832	27	37	,	,	PUNCT
m-832	27	38	these	these	DET
m-832	27	39	strips	strip	NOUN
m-832	27	40	are	be	AUX
m-832	27	41	sometimes	sometimes	ADV
m-832	27	42	stretched	stretch	VERB
m-832	27	43	.	.	PUNCT
m-832	28	1	the	the	DET
m-832	28	2	heat	heat	NOUN
m-832	28	3	transfer	transfer	NOUN
m-832	28	4	analysis	analysis	NOUN
m-832	28	5	over	over	ADP
m-832	28	6	a	a	DET
m-832	28	7	stretching	stretch	VERB
m-832	28	8	surface	surface	NOUN
m-832	28	9	is	be	AUX
m-832	28	10	of	of	ADP
m-832	28	11	much	much	ADJ
m-832	28	12	practical	practical	ADJ
m-832	28	13	interest	interest	NOUN
m-832	28	14	due	due	ADP
m-832	28	15	to	to	ADP
m-832	28	16	its	its	PRON
m-832	28	17	abundant	abundant	ADJ
m-832	28	18	applications	application	NOUN
m-832	28	19	such	such	ADJ
m-832	28	20	as	as	ADP
m-832	28	21	heat	heat	NOUN
m-832	28	22	-	-	PUNCT
m-832	28	23	treated	treat	VERB
m-832	28	24	materials	material	NOUN
m-832	28	25	travelling	travel	VERB
m-832	28	26	between	between	ADP
m-832	28	27	a	a	DET
m-832	28	28	feed	feed	NOUN
m-832	28	29	roll	roll	NOUN
m-832	28	30	and	and	CCONJ
m-832	28	31	wind	wind	NOUN
m-832	28	32	-	-	PUNCT
m-832	28	33	up	up	ADP
m-832	28	34	roll	roll	NOUN
m-832	28	35	or	or	CCONJ
m-832	28	36	materials	material	NOUN
m-832	28	37	manufactured	manufacture	VERB
m-832	28	38	by	by	ADP
m-832	28	39	extrusion	extrusion	NOUN
m-832	28	40	,	,	PUNCT
m-832	28	41	glass	glass	NOUN
m-832	28	42	-	-	PUNCT
m-832	28	43	fiber	fiber	NOUN
m-832	28	44	,	,	PUNCT
m-832	28	45	and	and	CCONJ
m-832	28	46	paper	paper	NOUN
m-832	28	47	production	production	NOUN
m-832	28	48	,	,	PUNCT
m-832	28	49	cooling	cool	VERB
m-832	28	50	of	of	ADP
m-832	28	51	metallic	metallic	ADJ
m-832	28	52	sheets	sheet	NOUN
m-832	28	53	or	or	CCONJ
m-832	28	54	electronic	electronic	ADJ
m-832	28	55	chips	chip	NOUN
m-832	28	56	,	,	PUNCT
m-832	28	57	drawing	draw	VERB
m-832	28	58	of	of	ADP
m-832	28	59	plastic	plastic	NOUN
m-832	28	60	films	film	NOUN
m-832	28	61	,	,	PUNCT
m-832	28	62	liquid	liquid	ADJ
m-832	28	63	films	film	NOUN
m-832	28	64	in	in	ADP
m-832	28	65	condensation	condensation	NOUN
m-832	28	66	processes	process	NOUN
m-832	28	67	.	.	PUNCT
m-832	29	1	due	due	ADP
m-832	29	2	to	to	ADP
m-832	29	3	the	the	DET
m-832	29	4	high	high	ADJ
m-832	29	5	applicability	applicability	NOUN
m-832	29	6	of	of	ADP
m-832	29	7	this	this	DET
m-832	29	8	problem	problem	NOUN
m-832	29	9	in	in	ADP
m-832	29	10	the	the	DET
m-832	29	11	industrial	industrial	ADJ
m-832	29	12	phenomena	phenomenon	NOUN
m-832	29	13	,	,	PUNCT
m-832	29	14	it	it	PRON
m-832	29	15	has	have	AUX
m-832	29	16	attracted	attract	VERB
m-832	29	17	attention	attention	NOUN
m-832	29	18	of	of	ADP
m-832	29	19	many	many	ADJ
m-832	29	20	researchers	researcher	NOUN
m-832	29	21	.	.	PUNCT
m-832	30	1	the	the	DET
m-832	30	2	effects	effect	NOUN
m-832	30	3	of	of	ADP
m-832	30	4	the	the	DET
m-832	30	5	buoyancy	buoyancy	NOUN
m-832	30	6	force	force	NOUN
m-832	30	7	on	on	ADP
m-832	30	8	the	the	DET
m-832	30	9	development	development	NOUN
m-832	30	10	of	of	ADP
m-832	30	11	the	the	DET
m-832	30	12	velocity	velocity	NOUN
m-832	30	13	and	and	CCONJ
m-832	30	14	thermal	thermal	ADJ
m-832	30	15	boundary	boundary	ADJ
m-832	30	16	layer	layer	NOUN
m-832	30	17	flows	flow	VERB
m-832	30	18	over	over	ADP
m-832	30	19	a	a	DET
m-832	30	20	stretching	stretch	VERB
m-832	30	21	sheet	sheet	NOUN
m-832	30	22	were	be	AUX
m-832	30	23	first	first	ADV
m-832	30	24	studied	study	VERB
m-832	30	25	by	by	ADP
m-832	30	26	chen[7	chen[7	PROPN
m-832	30	27	]	]	PUNCT
m-832	30	28	.	.	PUNCT
m-832	31	1	elbashbeshy	elbashbeshy	ADJ
m-832	31	2	and	and	CCONJ
m-832	31	3	bazid[8	bazid[8	NUM
m-832	31	4	]	]	PUNCT
m-832	31	5	,	,	PUNCT
m-832	31	6	sharidan	sharidan	PROPN
m-832	31	7	et	et	PROPN
m-832	31	8	al.[9	al.[9	PROPN
m-832	31	9	]	]	PUNCT
m-832	31	10	,	,	PUNCT
m-832	31	11	and	and	CCONJ
m-832	31	12	tsai	tsai	PROPN
m-832	31	13	et	et	PROPN
m-832	31	14	al.[10	al.[10	PROPN
m-832	31	15	]	]	PUNCT
m-832	31	16	obtained	obtain	VERB
m-832	31	17	a	a	DET
m-832	31	18	similarity	similarity	NOUN
m-832	31	19	solution	solution	NOUN
m-832	31	20	for	for	ADP
m-832	31	21	the	the	DET
m-832	31	22	flow	flow	NOUN
m-832	31	23	and	and	CCONJ
m-832	31	24	heat	heat	NOUN
m-832	31	25	transfer	transfer	NOUN
m-832	31	26	of	of	ADP
m-832	31	27	a	a	DET
m-832	31	28	fluid	fluid	NOUN
m-832	31	29	over	over	ADP
m-832	31	30	an	an	DET
m-832	31	31	unsteady	unsteady	ADJ
m-832	31	32	stretching	stretch	VERB
m-832	31	33	surface	surface	NOUN
m-832	31	34	.	.	PUNCT
m-832	32	1	the	the	DET
m-832	32	2	problem	problem	NOUN
m-832	32	3	of	of	ADP
m-832	32	4	mixedconvection	mixedconvection	NOUN
m-832	32	5	adjacent	adjacent	ADJ
m-832	32	6	to	to	ADP
m-832	32	7	a	a	DET
m-832	32	8	vertical	vertical	ADJ
m-832	32	9	continuously	continuously	ADV
m-832	32	10	stretching	stretch	VERB
m-832	32	11	sheet	sheet	NOUN
m-832	32	12	in	in	ADP
m-832	32	13	the	the	DET
m-832	32	14	presence	presence	NOUN
m-832	32	15	of	of	ADP
m-832	32	16	a	a	DET
m-832	32	17	variable	variable	ADJ
m-832	32	18	magnetic	magnetic	ADJ
m-832	32	19	field	field	NOUN
m-832	32	20	was	be	AUX
m-832	32	21	studied	study	VERB
m-832	32	22	by	by	ADP
m-832	32	23	ishak	ishak	NOUN
m-832	32	24	et	et	PROPN
m-832	32	25	al.[11	al.[11	PROPN
m-832	32	26	]	]	PUNCT
m-832	32	27	.	.	PUNCT
m-832	33	1	aziz[12	aziz[12	PROPN
m-832	33	2	]	]	PUNCT
m-832	33	3	obtained	obtain	VERB
m-832	33	4	the	the	DET
m-832	33	5	numerical	numerical	ADJ
m-832	33	6	solution	solution	NOUN
m-832	33	7	for	for	ADP
m-832	33	8	the	the	DET
m-832	33	9	laminar	laminar	ADJ
m-832	33	10	thermal	thermal	ADJ
m-832	33	11	boundary	boundary	NOUN
m-832	33	12	over	over	ADP
m-832	33	13	a	a	DET
m-832	33	14	flat	flat	ADJ
m-832	33	15	plate	plate	NOUN
m-832	33	16	with	with	ADP
m-832	33	17	a	a	DET
m-832	33	18	convective	convective	ADJ
m-832	33	19	surface	surface	NOUN
m-832	33	20	boundary	boundary	ADJ
m-832	33	21	conditions	condition	NOUN
m-832	33	22	.	.	PUNCT
m-832	34	1	the	the	DET
m-832	34	2	effect	effect	NOUN
m-832	34	3	of	of	ADP
m-832	34	4	viscous	viscous	ADJ
m-832	34	5	dissipation	dissipation	NOUN
m-832	34	6	changes	change	VERB
m-832	34	7	the	the	DET
m-832	34	8	temperature	temperature	NOUN
m-832	34	9	distributions	distribution	NOUN
m-832	34	10	by	by	ADP
m-832	34	11	playing	play	VERB
m-832	34	12	a	a	DET
m-832	34	13	role	role	NOUN
m-832	34	14	as	as	ADP
m-832	34	15	an	an	DET
m-832	34	16	energy	energy	NOUN
m-832	34	17	source	source	NOUN
m-832	34	18	,	,	PUNCT
m-832	34	19	which	which	PRON
m-832	34	20	affects	affect	VERB
m-832	34	21	the	the	DET
m-832	34	22	heat	heat	NOUN
m-832	34	23	transfer	transfer	NOUN
m-832	34	24	rates	rate	NOUN
m-832	34	25	.	.	PUNCT
m-832	35	1	the	the	DET
m-832	35	2	merit	merit	NOUN
m-832	35	3	of	of	ADP
m-832	35	4	the	the	DET
m-832	35	5	effect	effect	NOUN
m-832	35	6	of	of	ADP
m-832	35	7	viscous	viscous	ADJ
m-832	35	8	dissipation	dissipation	NOUN
m-832	35	9	depends	depend	VERB
m-832	35	10	on	on	ADP
m-832	35	11	whether	whether	SCONJ
m-832	35	12	the	the	DET
m-832	35	13	plate	plate	NOUN
m-832	35	14	is	be	AUX
m-832	35	15	being	be	AUX
m-832	35	16	cooled	cool	VERB
m-832	35	17	or	or	CCONJ
m-832	35	18	heated	heat	VERB
m-832	35	19	.	.	PUNCT
m-832	36	1	chen[13	chen[13	X
m-832	36	2	]	]	PUNCT
m-832	36	3	examined	examine	VERB
m-832	36	4	the	the	DET
m-832	36	5	effect	effect	NOUN
m-832	36	6	of	of	ADP
m-832	36	7	combined	combined	ADJ
m-832	36	8	heat	heat	NOUN
m-832	36	9	and	and	CCONJ
m-832	36	10	mass	mass	NOUN
m-832	36	11	transfer	transfer	NOUN
m-832	36	12	on	on	ADP
m-832	36	13	magnetohydrodynamic	magnetohydrodynamic	ADJ
m-832	36	14	(	(	PUNCT
m-832	36	15	mhd	mhd	NOUN
m-832	36	16	)	)	PUNCT
m-832	36	17	free	free	ADJ
m-832	36	18	convection	convection	NOUN
m-832	36	19	from	from	ADP
m-832	36	20	a	a	DET
m-832	36	21	vertical	vertical	ADJ
m-832	36	22	surface	surface	NOUN
m-832	36	23	with	with	ADP
m-832	36	24	the	the	DET
m-832	36	25	ohmic	ohmic	ADJ
m-832	36	26	heating	heating	NOUN
m-832	36	27	and	and	CCONJ
m-832	36	28	viscous	viscous	ADJ
m-832	36	29	dissipation	dissipation	NOUN
m-832	36	30	.	.	PUNCT
m-832	37	1	pal	pal	NOUN
m-832	37	2	and	and	CCONJ
m-832	37	3	hiremath[14	hiremath[14	PROPN
m-832	37	4	]	]	PUNCT
m-832	37	5	determined	determine	VERB
m-832	37	6	the	the	DET
m-832	37	7	heat	heat	NOUN
m-832	37	8	transfer	transfer	NOUN
m-832	37	9	characteristics	characteristic	NOUN
m-832	37	10	in	in	ADP
m-832	37	11	the	the	DET
m-832	37	12	laminar	laminar	ADJ
m-832	37	13	boundary	boundary	ADJ
m-832	37	14	layer	layer	NOUN
m-832	37	15	flow	flow	NOUN
m-832	37	16	over	over	ADP
m-832	37	17	an	an	DET
m-832	37	18	unsteady	unsteady	ADJ
m-832	37	19	stretching	stretch	VERB
m-832	37	20	sheet	sheet	NOUN
m-832	37	21	placed	place	VERB
m-832	37	22	in	in	ADP
m-832	37	23	a	a	DET
m-832	37	24	porous	porous	ADJ
m-832	37	25	medium	medium	NOUN
m-832	37	26	in	in	ADP
m-832	37	27	the	the	DET
m-832	37	28	presence	presence	NOUN
m-832	37	29	of	of	ADP
m-832	37	30	viscous	viscous	ADJ
m-832	37	31	dissipation	dissipation	NOUN
m-832	37	32	and	and	CCONJ
m-832	37	33	internal	internal	ADJ
m-832	37	34	absorption	absorption	NOUN
m-832	37	35	or	or	CCONJ
m-832	37	36	generation	generation	NOUN
m-832	37	37	.	.	PUNCT
m-832	38	1	veena	veena	PROPN
m-832	38	2	et	et	PROPN
m-832	38	3	al.[15	al.[15	PROPN
m-832	38	4	]	]	PUNCT
m-832	38	5	obtained	obtain	VERB
m-832	38	6	the	the	DET
m-832	38	7	solutions	solution	NOUN
m-832	38	8	of	of	ADP
m-832	38	9	heat	heat	NOUN
m-832	38	10	transfer	transfer	NOUN
m-832	38	11	in	in	ADP
m-832	38	12	a	a	DET
m-832	38	13	visco	visco	ADJ
m-832	38	14	-	-	ADJ
m-832	38	15	elastic	elastic	ADJ
m-832	38	16	fluid	fluid	NOUN
m-832	38	17	past	past	ADP
m-832	38	18	a	a	DET
m-832	38	19	stretching	stretch	VERB
m-832	38	20	sheet	sheet	NOUN
m-832	38	21	with	with	ADP
m-832	38	22	viscous	viscous	ADJ
m-832	38	23	dissipation	dissipation	NOUN
m-832	38	24	and	and	CCONJ
m-832	38	25	internal	internal	ADJ
m-832	38	26	heat	heat	NOUN
m-832	38	27	generation.in	generation.in	NOUN
m-832	38	28	light	light	NOUN
m-832	38	29	of	of	ADP
m-832	38	30	the	the	DET
m-832	38	31	above	above	ADJ
m-832	38	32	investigations	investigation	NOUN
m-832	38	33	,	,	PUNCT
m-832	38	34	it	it	PRON
m-832	38	35	is	be	AUX
m-832	38	36	found	find	VERB
m-832	38	37	that	that	SCONJ
m-832	38	38	these	these	DET
m-832	38	39	studies	study	NOUN
m-832	38	40	are	be	AUX
m-832	38	41	restricted	restrict	VERB
m-832	38	42	to	to	ADP
m-832	38	43	the	the	DET
m-832	38	44	fluid	fluid	ADJ
m-832	38	45	flow	flow	NOUN
m-832	38	46	and	and	CCONJ
m-832	38	47	heat	heat	NOUN
m-832	38	48	transfer	transfer	NOUN
m-832	38	49	problems	problem	NOUN
m-832	38	50	.	.	PUNCT
m-832	39	1	however	however	ADV
m-832	39	2	,	,	PUNCT
m-832	39	3	the	the	DET
m-832	39	4	fluid	fluid	ADJ
m-832	39	5	flow	flow	NOUN
m-832	39	6	embedded	embed	VERB
m-832	39	7	with	with	ADP
m-832	39	8	dust	dust	NOUN
m-832	39	9	particles	particle	NOUN
m-832	39	10	is	be	AUX
m-832	39	11	encountered	encounter	VERB
m-832	39	12	in	in	ADP
m-832	39	13	different	different	ADJ
m-832	39	14	engineering	engineering	NOUN
m-832	39	15	problems	problem	NOUN
m-832	39	16	concerned	concern	VERB
m-832	39	17	with	with	ADP
m-832	39	18	nuclear	nuclear	ADJ
m-832	39	19	reactor	reactor	NOUN
m-832	39	20	cooling	cooling	NOUN
m-832	39	21	,	,	PUNCT
m-832	39	22	powder	powder	NOUN
m-832	39	23	technology	technology	NOUN
m-832	39	24	,	,	PUNCT
m-832	39	25	rain	rain	NOUN
m-832	39	26	erosion	erosion	NOUN
m-832	39	27	,	,	PUNCT
m-832	39	28	paint	paint	NOUN
m-832	39	29	spraying	spraying	NOUN
m-832	39	30	,	,	PUNCT
m-832	39	31	etc	etc	X
m-832	39	32	.	.	X
m-832	40	1	the	the	DET
m-832	40	2	important	important	ADJ
m-832	40	3	applications	application	NOUN
m-832	40	4	of	of	ADP
m-832	40	5	dust	dust	NOUN
m-832	40	6	particles	particle	NOUN
m-832	40	7	in	in	ADP
m-832	40	8	the	the	DET
m-832	40	9	boundary	boundary	ADJ
m-832	40	10	layer	layer	NOUN
m-832	40	11	include	include	VERB
m-832	40	12	soil	soil	NOUN
m-832	40	13	erosion	erosion	NOUN
m-832	40	14	by	by	ADP
m-832	40	15	natural	natural	ADJ
m-832	40	16	winds	wind	NOUN
m-832	40	17	and	and	CCONJ
m-832	40	18	dust	dust	NOUN
m-832	40	19	entrainment	entrainment	NOUN
m-832	40	20	in	in	ADP
m-832	40	21	a	a	DET
m-832	40	22	cloud	cloud	NOUN
m-832	40	23	during	during	ADP
m-832	40	24	a	a	DET
m-832	40	25	nuclear	nuclear	ADJ
m-832	40	26	explosion	explosion	NOUN
m-832	40	27	.	.	PUNCT
m-832	41	1	it	it	PRON
m-832	41	2	also	also	ADV
m-832	41	3	occurs	occur	VERB
m-832	41	4	in	in	ADP
m-832	41	5	awide	awide	ADJ
m-832	41	6	range	range	NOUN
m-832	41	7	of	of	ADP
m-832	41	8	technical	technical	ADJ
m-832	41	9	processes	process	NOUN
m-832	41	10	like	like	ADP
m-832	41	11	fluidization	fluidization	NOUN
m-832	41	12	,	,	PUNCT
m-832	41	13	flow	flow	NOUN
m-832	41	14	in	in	ADP
m-832	41	15	rocket	rocket	NOUN
m-832	41	16	tubes	tube	NOUN
m-832	41	17	,	,	PUNCT
m-832	41	18	combustion	combustion	NOUN
m-832	41	19	,	,	PUNCT
m-832	41	20	and	and	CCONJ
m-832	41	21	purification	purification	NOUN
m-832	41	22	of	of	ADP
m-832	41	23	crude	crude	ADJ
m-832	41	24	oil	oil	NOUN
m-832	41	25	.	.	PUNCT
m-832	42	1	palani	palani	PROPN
m-832	42	2	and	and	CCONJ
m-832	42	3	ganesan[16	ganesan[16	PROPN
m-832	42	4	]	]	PUNCT
m-832	42	5	investigated	investigate	VERB
m-832	42	6	the	the	DET
m-832	42	7	flow	flow	NOUN
m-832	42	8	of	of	ADP
m-832	42	9	dusty	dusty	ADJ
m-832	42	10	gas	gas	NOUN
m-832	42	11	past	past	ADP
m-832	42	12	a	a	DET
m-832	42	13	semi	semi	ADJ
m-832	42	14	-	-	ADJ
m-832	42	15	infinite	infinite	ADJ
m-832	42	16	isothermal	isothermal	ADJ
m-832	42	17	inclined	inclined	ADJ
m-832	42	18	plate	plate	NOUN
m-832	42	19	.	.	PUNCT
m-832	43	1	2	2	X
m-832	43	2	.	.	X
m-832	43	3	mathematical	mathematical	ADJ
m-832	43	4	formulation	formulation	NOUN
m-832	43	5	:	:	PUNCT
m-832	43	6	we	we	PRON
m-832	43	7	consider	consider	VERB
m-832	43	8	the	the	DET
m-832	43	9	motion	motion	NOUN
m-832	43	10	of	of	ADP
m-832	43	11	viscous	viscous	ADJ
m-832	43	12	,	,	PUNCT
m-832	43	13	incompressible	incompressible	ADJ
m-832	43	14	fluid	fluid	NOUN
m-832	43	15	through	through	ADP
m-832	43	16	a	a	DET
m-832	43	17	porous	porous	ADJ
m-832	43	18	medium	medium	NOUN
m-832	43	19	in	in	ADP
m-832	43	20	a	a	DET
m-832	43	21	vertical	vertical	ADJ
m-832	43	22	channel	channel	NOUN
m-832	43	23	bounded	bound	VERB
m-832	43	24	by	by	ADP
m-832	43	25	flat	flat	ADJ
m-832	43	26	walls	wall	NOUN
m-832	43	27	.	.	PUNCT
m-832	44	1	the	the	DET
m-832	44	2	thermal	thermal	ADJ
m-832	44	3	buoyancy	buoyancy	NOUN
m-832	44	4	in	in	ADP
m-832	44	5	the	the	DET
m-832	44	6	flow	flow	NOUN
m-832	44	7	field	field	NOUN
m-832	44	8	is	be	AUX
m-832	44	9	created	create	VERB
m-832	44	10	by	by	ADP
m-832	44	11	a	a	DET
m-832	44	12	travelling	travel	VERB
m-832	44	13	thermal	thermal	ADJ
m-832	44	14	wave	wave	NOUN
m-832	44	15	imposed	impose	VERB
m-832	44	16	on	on	ADP
m-832	44	17	the	the	DET
m-832	44	18	boundary	boundary	ADJ
m-832	44	19	wall	wall	NOUN
m-832	44	20	at	at	ADP
m-832	44	21	y	y	PROPN
m-832	44	22	=	=	PUNCT
m-832	44	23	l	l	NOUN
m-832	44	24	while	while	SCONJ
m-832	44	25	the	the	DET
m-832	44	26	boundary	boundary	NOUN
m-832	44	27	at	at	ADP
m-832	44	28	y	y	PROPN
m-832	44	29	=	=	PUNCT
m-832	44	30	-l	-l	PROPN
m-832	44	31	is	be	AUX
m-832	44	32	maintained	maintain	VERB
m-832	44	33	at	at	ADP
m-832	44	34	constant	constant	ADJ
m-832	44	35	temperature	temperature	NOUN
m-832	44	36	t1	t1	NOUN
m-832	44	37	.	.	PUNCT
m-832	45	1	the	the	DET
m-832	45	2	viscous	viscous	ADJ
m-832	45	3	and	and	CCONJ
m-832	45	4	darcy	darcy	PROPN
m-832	45	5	dissipations	dissipation	NOUN
m-832	45	6	are	be	AUX
m-832	45	7	taken	take	VERB
m-832	45	8	into	into	ADP
m-832	45	9	account	account	NOUN
m-832	45	10	to	to	ADP
m-832	45	11	the	the	DET
m-832	45	12	transport	transport	NOUN
m-832	45	13	of	of	ADP
m-832	45	14	heat	heat	NOUN
m-832	45	15	by	by	ADP
m-832	45	16	conduction	conduction	NOUN
m-832	45	17	and	and	CCONJ
m-832	45	18	convection	convection	NOUN
m-832	45	19	in	in	ADP
m-832	45	20	the	the	DET
m-832	45	21	energy	energy	NOUN
m-832	45	22	equation	equation	NOUN
m-832	45	23	.	.	PUNCT
m-832	46	1	also	also	ADV
m-832	46	2	the	the	DET
m-832	46	3	kinematic	kinematic	ADJ
m-832	46	4	viscosity	viscosity	NOUN
m-832	46	5	,the	,the	DET
m-832	46	6	thermal	thermal	ADJ
m-832	46	7	conducting	conduct	VERB
m-832	46	8	k	k	PROPN
m-832	46	9	are	be	AUX
m-832	46	10	treated	treat	VERB
m-832	46	11	as	as	ADP
m-832	46	12	constants	constant	NOUN
m-832	46	13	.	.	PUNCT
m-832	47	1	we	we	PRON
m-832	47	2	choose	choose	VERB
m-832	47	3	a	a	DET
m-832	47	4	rectangular	rectangular	ADJ
m-832	47	5	cartesian	cartesian	ADJ
m-832	47	6	system	system	NOUN
m-832	47	7	0	0	PUNCT
m-832	48	1	(	(	PUNCT
m-832	48	2	x	x	X
m-832	48	3	,	,	PUNCT
m-832	48	4	y	y	PROPN
m-832	48	5	)	)	PUNCT
m-832	48	6	with	with	ADP
m-832	48	7	x	x	X
m-832	48	8	-	-	NOUN
m-832	48	9	axis	axis	NOUN
m-832	48	10	in	in	ADP
m-832	48	11	the	the	DET
m-832	48	12	vertical	vertical	ADJ
m-832	48	13	direction	direction	NOUN
m-832	48	14	and	and	CCONJ
m-832	48	15	y	y	NOUN
m-832	48	16	-	-	PUNCT
m-832	48	17	axis	axis	NOUN
m-832	48	18	normal	normal	ADJ
m-832	48	19	to	to	ADP
m-832	48	20	the	the	DET
m-832	48	21	walls	wall	NOUN
m-832	48	22	.	.	PUNCT
m-832	49	1	the	the	DET
m-832	49	2	equations	equation	NOUN
m-832	49	3	governing	govern	VERB
m-832	49	4	the	the	DET
m-832	49	5	unsteady	unsteady	ADJ
m-832	49	6	flow	flow	NOUN
m-832	49	7	and	and	CCONJ
m-832	49	8	heat	heat	NOUN
m-832	49	9	transfer	transfer	NOUN
m-832	49	10	under	under	ADP
m-832	49	11	boundary	boundary	ADJ
m-832	49	12	conditions	condition	NOUN
m-832	49	13	in	in	ADP
m-832	49	14	terms	term	NOUN
m-832	49	15	of	of	ADP
m-832	49	16	stream	stream	NOUN
m-832	49	17	function	function	NOUN
m-832	49	18			NOUN
m-832	49	19	are	be	AUX
m-832	49	20	ijo	ijo	PROPN
m-832	49	21	journals	journal	NOUN
m-832	49	22	volume	volume	NOUN
m-832	49	23	07	07	NUM
m-832	49	24	|	|	ADV
m-832	49	25	issue	issue	NOUN
m-832	49	26	04	04	NUM
m-832	50	1	|	|	CCONJ
m-832	50	2	april	april	PROPN
m-832	50	3	2024	2024	NUM
m-832	51	1	|	|	ADV
m-832	51	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	51	3	2	2	NUM
m-832	51	4	ijo	ijo	PROPN
m-832	51	5	international	international	ADJ
m-832	51	6	journal	journal	PROPN
m-832	51	7	of	of	ADP
m-832	51	8	mathematics	mathematics	PROPN
m-832	51	9	(	(	PUNCT
m-832	51	10	issn	issn	PROPN
m-832	51	11	:	:	PUNCT
m-832	51	12	2992	2992	NUM
m-832	51	13	-	-	SYM
m-832	51	14	4421	4421	NUM
m-832	51	15	)	)	PUNCT
m-832	52	1	prakasha.p1	prakasha.p1	PROPN
m-832	52	2	*	*	PUNCT
m-832	52	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	52	4	volume	volume	NOUN
m-832	52	5	07	07	NUM
m-832	52	6	issue	issue	NOUN
m-832	52	7	04	04	NUM
m-832	52	8	||	||	NOUN
m-832	52	9	april	april	PROPN
m-832	52	10	,	,	PUNCT
m-832	52	11	2024	2024	NUM
m-832	52	12	||	||	NOUN
m-832	52	13	mathematical	mathematical	ADJ
m-832	52	14	analysis	analysis	NOUN
m-832	52	15	of	of	ADP
m-832	52	16	effect	effect	NOUN
m-832	52	17	of	of	ADP
m-832	52	18	viscous	viscous	ADJ
m-832	52	19	dissipation	dissipation	NOUN
m-832	52	20	on	on	ADP
m-832	52	21	transient	transient	ADJ
m-832	52	22	mhd	mhd	PROPN
m-832	52	23	convective	convective	ADJ
m-832	52	24	heat	heat	NOUN
m-832	52	25	transfer	transfer	NOUN
m-832	52	26	through	through	ADP
m-832	52	27	a	a	DET
m-832	52	28	porous	porous	ADJ
m-832	52	29	medium	medium	NOUN
m-832	52	30	in	in	ADP
m-832	52	31	a	a	DET
m-832	52	32	vertical	vertical	ADJ
m-832	52	33	channel	channel	NOUN
m-832	52	34			NOUN
m-832	52	35			NOUN
m-832	52	36			X
m-832	52	37			PROPN
m-832	53	1			PROPN
m-832	53	2	2	2	NUM
m-832	53	3	2	2	NUM
m-832	53	4	2	2	NUM
m-832	53	5	0	0	NUM
m-832	53	6	2	2	NUM
m-832	53	7	0	0	NUM
m-832	53	8	2	2	NUM
m-832	53	9	0	0	NUM
m-832	53	10	4222	4222	NUM
m-832	53	11	)	)	PUNCT
m-832	53	12	(	(	PUNCT
m-832	53	13	]	]	X
m-832	53	14	)	)	PUNCT
m-832	53	15	(	(	PUNCT
m-832	53	16	)	)	PUNCT
m-832	53	17	(	(	PUNCT
m-832	53	18	)	)	PUNCT
m-832	54	1	[	[	X
m-832	54	2	(	(	PUNCT
m-832	54	3			PROPN
m-832	54	4			NOUN
m-832	54	5			PRON
m-832	54	6			PROPN
m-832	54	7			PROPN
m-832	54	8			PROPN
m-832	54	9			PROPN
m-832	54	10			PROPN
m-832	54	11			PROPN
m-832	54	12			PROPN
m-832	54	13			PROPN
m-832	54	14			NOUN
m-832	55	1			PROPN
m-832	55	2			PROPN
m-832	55	3			PROPN
m-832	56	1			PROPN
m-832	56	2			NOUN
m-832	57	1			PROPN
m-832	57	2	ky	ky	PROPN
m-832	57	3	h	h	NOUN
m-832	57	4	ttg	ttg	PROPN
m-832	57	5	e	e	PROPN
m-832	57	6	yxyyxt	yxyyxt	NOUN
m-832	57	7	(	(	PUNCT
m-832	57	8	2.1	2.1	NUM
m-832	57	9	)	)	PUNCT
m-832	57	10			NOUN
m-832	57	11			NOUN
m-832	57	12			PROPN
m-832	57	13			PROPN
m-832	57	14			PROPN
m-832	57	15			NOUN
m-832	57	16			PROPN
m-832	57	17			PROPN
m-832	57	18			PROPN
m-832	57	19			PROPN
m-832	57	20			PROPN
m-832	57	21			PROPN
m-832	57	22			PROPN
m-832	57	23			PRON
m-832	57	24			PROPN
m-832	57	25			PROPN
m-832	57	26			NOUN
m-832	57	27			ADJ
m-832	57	28			NOUN
m-832	57	29			VERB
m-832	57	30			PROPN
m-832	57	31			PROPN
m-832	57	32			PROPN
m-832	57	33			NOUN
m-832	57	34			PROPN
m-832	57	35			PROPN
m-832	57	36			PROPN
m-832	57	37			PROPN
m-832	57	38			PROPN
m-832	57	39			PROPN
m-832	57	40			ADJ
m-832	57	41			ADJ
m-832	57	42			ADJ
m-832	57	43			ADJ
m-832	57	44			PROPN
m-832	57	45			PROPN
m-832	57	46			ADJ
m-832	57	47			PROPN
m-832	57	48			PROPN
m-832	57	49			PROPN
m-832	57	50			PROPN
m-832	57	51			ADJ
m-832	57	52	222	222	NUM
m-832	57	53	0	0	NUM
m-832	57	54	2	2	NUM
m-832	57	55	2	2	NUM
m-832	57	56	2	2	NUM
m-832	57	57	2	2	NUM
m-832	57	58	2	2	NUM
m-832	57	59	2	2	NUM
m-832	57	60	2	2	NUM
m-832	57	61	2	2	NUM
m-832	57	62	)	)	PUNCT
m-832	57	63	(	(	PUNCT
m-832	57	64	)	)	PUNCT
m-832	57	65	(	(	PUNCT
m-832	57	66	)	)	PUNCT
m-832	57	67	(	(	PUNCT
m-832	57	68	)	)	PUNCT
m-832	57	69	(	(	PUNCT
m-832	57	70	)	)	PUNCT
m-832	57	71	(	(	PUNCT
m-832	57	72	yx	yx	NUM
m-832	57	73	h	h	PROPN
m-832	58	1	k	k	PROPN
m-832	58	2	xy	xy	PROPN
m-832	58	3	q	q	PROPN
m-832	59	1	yxxyt	yxxyt	PROPN
m-832	59	2	c	c	PROPN
m-832	59	3	e	e	PROPN
m-832	59	4	pe	pe	PROPN
m-832	59	5			PROPN
m-832	59	6			PROPN
m-832	59	7			NOUN
m-832	59	8			NOUN
m-832	59	9			PROPN
m-832	59	10			NOUN
m-832	59	11			NOUN
m-832	59	12	(	(	PUNCT
m-832	59	13	2.2	2.2	NUM
m-832	59	14	)	)	PUNCT
m-832	59	15	the	the	DET
m-832	59	16	flow	flow	NOUN
m-832	59	17	is	be	AUX
m-832	59	18	maintained	maintain	VERB
m-832	59	19	by	by	ADP
m-832	59	20	a	a	DET
m-832	59	21	constant	constant	ADJ
m-832	59	22	volume	volume	NOUN
m-832	59	23	flux	flux	NOUN
m-832	59	24	for	for	ADP
m-832	59	25	which	which	PRON
m-832	59	26	a	a	DET
m-832	59	27	characteristic	characteristic	ADJ
m-832	59	28	velocity	velocity	NOUN
m-832	59	29	is	be	AUX
m-832	59	30	defined	define	VERB
m-832	59	31	as	as	ADP
m-832	59	32			PROPN
m-832	59	33			PROPN
m-832	59	34	l	l	PROPN
m-832	59	35	l	l	NOUN
m-832	59	36	ydu	ydu	NOUN
m-832	60	1	l	l	NOUN
m-832	60	2	q	q	NOUN
m-832	60	3	2	2	NUM
m-832	60	4	1	1	NUM
m-832	60	5	.	.	PUNCT
m-832	61	1	(	(	PUNCT
m-832	61	2	2.3	2.3	NUM
m-832	61	3	)	)	PUNCT
m-832	61	4	the	the	DET
m-832	61	5	boundary	boundary	ADJ
m-832	61	6	conditions	condition	NOUN
m-832	61	7	for	for	ADP
m-832	61	8	the	the	DET
m-832	61	9	velocity	velocity	NOUN
m-832	61	10	and	and	CCONJ
m-832	61	11	temperature	temperature	NOUN
m-832	61	12	fields	field	NOUN
m-832	61	13	are	be	AUX
m-832	61	14	u	u	NOUN
m-832	61	15	=	=	NOUN
m-832	61	16	0	0	NUM
m-832	61	17	,	,	PUNCT
m-832	61	18	v	v	NOUN
m-832	61	19	=	=	SYM
m-832	61	20	0	0	NUM
m-832	61	21	,	,	PUNCT
m-832	61	22	t	t	PROPN
m-832	61	23	=	=	NOUN
m-832	61	24	t1	t1	NOUN
m-832	61	25	on	on	ADP
m-832	61	26	y	y	PROPN
m-832	61	27	=	=	SYM
m-832	61	28	-l	-l	PROPN
m-832	61	29	)	)	PUNCT
m-832	61	30	(	(	PUNCT
m-832	61	31	,	,	PUNCT
m-832	61	32	0,0	0,0	NUM
m-832	61	33	2	2	NUM
m-832	61	34	ntmxsintttvu	ntmxsintttvu	NOUN
m-832	61	35	e	e	AUX
m-832	61	36			NOUN
m-832	61	37	on	on	ADP
m-832	61	38	y	y	PROPN
m-832	61	39	=	=	PUNCT
m-832	61	40	l	l	PROPN
m-832	61	41	(	(	PUNCT
m-832	61	42	2.4	2.4	NUM
m-832	61	43	)	)	PUNCT
m-832	61	44	where	where	SCONJ
m-832	61	45	u	u	NOUN
m-832	61	46	=	=	NOUN
m-832	61	47	-	-	PROPN
m-832	61	48	y	y	PROPN
m-832	61	49	,	,	PUNCT
m-832	61	50	v	v	NOUN
m-832	61	51	=	=	SYM
m-832	61	52			NOUN
m-832	61	53	x	x	SYM
m-832	61	54	(	(	PUNCT
m-832	61	55	2.5	2.5	NUM
m-832	61	56	)	)	PUNCT
m-832	61	57	introducing	introduce	VERB
m-832	61	58	the	the	DET
m-832	61	59	non	non	ADJ
m-832	61	60	-	-	ADJ
m-832	61	61	dimensional	dimensional	ADJ
m-832	61	62	variables	variable	NOUN
m-832	61	63	in	in	ADP
m-832	61	64	(	(	PUNCT
m-832	61	65	2	2	NUM
m-832	61	66	.10	.10	NUM
m-832	61	67	)	)	PUNCT
m-832	61	68	(	(	PUNCT
m-832	61	69	2.12	2.12	NUM
m-832	61	70	)	)	PUNCT
m-832	61	71	as	as	ADP
m-832	61	72	e	e	X
m-832	61	73	e	e	PROPN
m-832	61	74	t	t	PROPN
m-832	61	75	tt	tt	PROPN
m-832	61	76	mttlyymxx	mttlyymxx	PROPN
m-832	61	77			PUNCT
m-832	61	78			PROPN
m-832	61	79			NOUN
m-832	61	80			PROPN
m-832	61	81	,	,	PUNCT
m-832	61	82	/,,/	/,,/	PROPN
m-832	61	83	,	,	PUNCT
m-832	61	84	12	12	NUM
m-832	61	85	(	(	PUNCT
m-832	61	86	2.6	2.6	NUM
m-832	61	87	)	)	PUNCT
m-832	61	88	(	(	PUNCT
m-832	61	89	under	under	ADP
m-832	61	90	the	the	DET
m-832	61	91	equilibrium	equilibrium	NOUN
m-832	61	92	state	state	NOUN
m-832	61	93	)	)	PUNCT
m-832	61	94	)	)	PUNCT
m-832	61	95	(	(	PUNCT
m-832	61	96	)	)	PUNCT
m-832	61	97	(	(	PUNCT
m-832	61	98	2	2	NUM
m-832	61	99			X
m-832	61	100	ql	ql	X
m-832	61	101	ltltt	ltltt	PROPN
m-832	61	102	eee	eee	NOUN
m-832	61	103			VERB
m-832	61	104	the	the	DET
m-832	61	105	governing	govern	VERB
m-832	61	106	equations	equation	NOUN
m-832	61	107	(	(	PUNCT
m-832	61	108	2.1	2.1	NUM
m-832	61	109	)	)	PUNCT
m-832	61	110	&	&	CCONJ
m-832	61	111	(	(	PUNCT
m-832	61	112	2.2	2.2	NUM
m-832	61	113	)	)	PUNCT
m-832	61	114	in	in	ADP
m-832	61	115	the	the	DET
m-832	61	116	non	non	ADJ
m-832	61	117	-	-	ADJ
m-832	61	118	dimensional	dimensional	ADJ
m-832	61	119	form	form	NOUN
m-832	61	120	(	(	PUNCT
m-832	61	121	after	after	ADP
m-832	61	122	dropping	drop	VERB
m-832	61	123	the	the	DET
m-832	61	124	dashes	dash	NOUN
m-832	61	125	)	)	PUNCT
m-832	61	126	are	be	AUX
m-832	61	127	2	2	NUM
m-832	61	128	2	2	NUM
m-832	61	129	22	22	NUM
m-832	61	130	1	1	NUM
m-832	61	131	14	14	NUM
m-832	61	132	1	1	NUM
m-832	61	133	2	2	NUM
m-832	61	134	12	12	NUM
m-832	61	135	1	1	NUM
m-832	61	136	)	)	PUNCT
m-832	61	137	,	,	PUNCT
m-832	61	138	(	(	PUNCT
m-832	61	139	)	)	PUNCT
m-832	61	140	,	,	PUNCT
m-832	61	141	(	(	PUNCT
m-832	61	142	)	)	PUNCT
m-832	61	143	(	(	PUNCT
m-832	61	144	y	y	PROPN
m-832	61	145	md	md	PROPN
m-832	61	146	r	r	NOUN
m-832	61	147	g	g	PROPN
m-832	61	148	yx	yx	NOUN
m-832	61	149	r	r	NOUN
m-832	61	150	yt	yt	PRON
m-832	61	151			ADJ
m-832	61	152			PROPN
m-832	61	153			PROPN
m-832	61	154			NOUN
m-832	62	1			PRON
m-832	62	2			PROPN
m-832	62	3			PROPN
m-832	62	4			NOUN
m-832	62	5			NOUN
m-832	62	6			NOUN
m-832	62	7			PROPN
m-832	62	8			PROPN
m-832	62	9			PROPN
m-832	62	10			NOUN
m-832	62	11			PROPN
m-832	62	12			PROPN
m-832	62	13			PRON
m-832	62	14			PROPN
m-832	62	15			NOUN
m-832	62	16			PROPN
m-832	62	17			NOUN
m-832	62	18			X
m-832	62	19	(	(	PUNCT
m-832	62	20	2.7	2.7	NUM
m-832	62	21	)	)	PUNCT
m-832	62	22	and	and	CCONJ
m-832	62	23	the	the	DET
m-832	62	24	energy	energy	NOUN
m-832	62	25	equation	equation	NOUN
m-832	62	26	in	in	ADP
m-832	62	27	the	the	DET
m-832	62	28	non	non	ADJ
m-832	62	29	-	-	ADJ
m-832	62	30	dimensional	dimensional	ADJ
m-832	62	31	form	form	NOUN
m-832	62	32	is	be	AUX
m-832	62	33			NOUN
m-832	62	34			PROPN
m-832	62	35			NOUN
m-832	62	36			NOUN
m-832	62	37			PROPN
m-832	62	38			PROPN
m-832	62	39			PROPN
m-832	62	40			NOUN
m-832	62	41			PROPN
m-832	62	42			PROPN
m-832	62	43			PROPN
m-832	62	44			ADJ
m-832	62	45			ADJ
m-832	62	46			ADJ
m-832	62	47			NOUN
m-832	62	48			VERB
m-832	62	49			PROPN
m-832	62	50			PROPN
m-832	62	51			PROPN
m-832	62	52			NOUN
m-832	62	53			PROPN
m-832	62	54			PROPN
m-832	62	55			PROPN
m-832	62	56			ADJ
m-832	62	57			PROPN
m-832	62	58			NOUN
m-832	62	59			PROPN
m-832	63	1			PROPN
m-832	63	2			PROPN
m-832	63	3			PROPN
m-832	63	4			NOUN
m-832	63	5			ADP
m-832	63	6			NOUN
m-832	63	7			PROPN
m-832	63	8			PROPN
m-832	63	9			PROPN
m-832	63	10			NOUN
m-832	63	11			ADJ
m-832	63	12			ADJ
m-832	63	13			ADJ
m-832	63	14			ADJ
m-832	63	15			PROPN
m-832	63	16			PROPN
m-832	63	17			ADJ
m-832	63	18			PROPN
m-832	63	19			PROPN
m-832	63	20			PROPN
m-832	63	21			ADJ
m-832	63	22			ADJ
m-832	63	23			NOUN
m-832	63	24	)	)	PUNCT
m-832	63	25	)	)	PUNCT
m-832	63	26	(	(	PUNCT
m-832	63	27	)	)	PUNCT
m-832	63	28	(	(	PUNCT
m-832	63	29	)	)	PUNCT
m-832	63	30	(	(	PUNCT
m-832	63	31	)	)	PUNCT
m-832	63	32	(	(	PUNCT
m-832	63	33	22221	22221	NUM
m-832	63	34	2	2	NUM
m-832	63	35	2	2	NUM
m-832	63	36	2	2	NUM
m-832	63	37	22	22	NUM
m-832	63	38	2	2	NUM
m-832	63	39	22	22	NUM
m-832	63	40	2	2	NUM
m-832	63	41	1	1	NUM
m-832	63	42	yx	yx	PROPN
m-832	63	43	md	md	PROPN
m-832	63	44	xyg	xyg	PROPN
m-832	63	45	epr	epr	PROPN
m-832	63	46	yxxyt	yxxyt	VERB
m-832	63	47	p	p	PROPN
m-832	63	48	c	c	PROPN
m-832	63	49			NOUN
m-832	64	1			NUM
m-832	64	2			NUM
m-832	64	3			NUM
m-832	64	4			NOUN
m-832	64	5			X
m-832	64	6			X
m-832	64	7			X
m-832	64	8	(	(	PUNCT
m-832	64	9	2.8	2.8	NUM
m-832	64	10	)	)	PUNCT
m-832	64	11	where	where	SCONJ
m-832	64	12			INTJ
m-832	64	13	ul	ul	INTJ
m-832	64	14	r	r	NOUN
m-832	64	15			PROPN
m-832	64	16	(	(	PUNCT
m-832	64	17	reynolds	reynolds	PROPN
m-832	64	18	number	number	PROPN
m-832	64	19	)	)	PUNCT
m-832	64	20	,	,	PUNCT
m-832	64	21	2	2	NUM
m-832	64	22	3	3	NUM
m-832	64	23			NOUN
m-832	64	24			PROPN
m-832	64	25	ltg	ltg	PROPN
m-832	64	26	g	g	PROPN
m-832	64	27	e	e	PROPN
m-832	64	28			PROPN
m-832	64	29	(	(	PUNCT
m-832	64	30	grashof	grashof	ADJ
m-832	64	31	number	number	NOUN
m-832	64	32	)	)	PUNCT
m-832	64	33	1k	1k	NUM
m-832	64	34	c	c	NOUN
m-832	64	35	p	p	NUM
m-832	64	36			ADJ
m-832	64	37	(	(	PUNCT
m-832	64	38	prandtl	prandtl	NOUN
m-832	64	39	number	number	NOUN
m-832	64	40	)	)	PUNCT
m-832	64	41	,	,	PUNCT
m-832	64	42	k	k	PROPN
m-832	64	43	l	l	NOUN
m-832	64	44	d	d	NOUN
m-832	64	45	2	2	NUM
m-832	64	46	1	1	NUM
m-832	64	47			NOUN
m-832	64	48	(	(	PUNCT
m-832	64	49	darcy	darcy	PROPN
m-832	64	50	parameter	parameter	PROPN
m-832	64	51	)	)	PUNCT
m-832	64	52	,	,	PUNCT
m-832	64	53	p	p	NOUN
m-832	64	54	c	c	NOUN
m-832	64	55	c	c	NOUN
m-832	64	56	gl	gl	PROPN
m-832	64	57	e	e	PROPN
m-832	64	58	3	3	PROPN
m-832	64	59			PROPN
m-832	64	60	(	(	PUNCT
m-832	64	61	eckert	eckert	PROPN
m-832	64	62	number	number	PROPN
m-832	64	63	)	)	PUNCT
m-832	64	64	,	,	PUNCT
m-832	64	65	ijo	ijo	PROPN
m-832	64	66	journals	journal	NOUN
m-832	64	67	volume	volume	NOUN
m-832	64	68	07	07	NUM
m-832	64	69	|	|	ADV
m-832	64	70	issue	issue	NOUN
m-832	64	71	04	04	NUM
m-832	65	1	|	|	CCONJ
m-832	65	2	april	april	PROPN
m-832	65	3	2024	2024	NUM
m-832	66	1	|	|	ADV
m-832	66	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	66	3	3	3	NUM
m-832	66	4	ijo	ijo	PROPN
m-832	66	5	international	international	PROPN
m-832	66	6	journal	journal	PROPN
m-832	66	7	of	of	ADP
m-832	66	8	mathematics	mathematics	PROPN
m-832	66	9	(	(	PUNCT
m-832	66	10	issn	issn	PROPN
m-832	66	11	:	:	PUNCT
m-832	66	12	2992	2992	NUM
m-832	66	13	-	-	SYM
m-832	66	14	4421	4421	NUM
m-832	66	15	)	)	PUNCT
m-832	67	1	prakasha.p1	prakasha.p1	PROPN
m-832	67	2	*	*	PUNCT
m-832	67	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	67	4	volume	volume	NOUN
m-832	67	5	07	07	NUM
m-832	67	6	issue	issue	NOUN
m-832	67	7	04	04	NUM
m-832	67	8	||	||	NOUN
m-832	67	9	april	april	PROPN
m-832	67	10	,	,	PUNCT
m-832	67	11	2024	2024	NUM
m-832	67	12	||	||	NOUN
m-832	67	13	mathematical	mathematical	ADJ
m-832	67	14	analysis	analysis	NOUN
m-832	67	15	of	of	ADP
m-832	67	16	effect	effect	NOUN
m-832	67	17	of	of	ADP
m-832	67	18	viscous	viscous	ADJ
m-832	67	19	dissipation	dissipation	NOUN
m-832	67	20	on	on	ADP
m-832	67	21	transient	transient	ADJ
m-832	67	22	mhd	mhd	PROPN
m-832	67	23	convective	convective	ADJ
m-832	67	24	heat	heat	NOUN
m-832	67	25	transfer	transfer	NOUN
m-832	67	26	through	through	ADP
m-832	67	27	a	a	DET
m-832	67	28	porous	porous	ADJ
m-832	67	29	medium	medium	NOUN
m-832	67	30	in	in	ADP
m-832	67	31	a	a	DET
m-832	67	32	vertical	vertical	ADJ
m-832	67	33	channel	channel	NOUN
m-832	67	34	lm	lm	INTJ
m-832	67	35	(	(	PUNCT
m-832	67	36	aspect	aspect	NOUN
m-832	67	37	ratio	ratio	NOUN
m-832	67	38	)	)	PUNCT
m-832	67	39	2	2	NUM
m-832	67	40	m	m	NOUN
m-832	67	41	n	n	NUM
m-832	67	42			NOUN
m-832	67	43			NUM
m-832	67	44			NUM
m-832	67	45	(	(	PUNCT
m-832	67	46	non	non	ADJ
m-832	67	47	-	-	ADJ
m-832	67	48	dimensional	dimensional	ADJ
m-832	67	49	thermal	thermal	ADJ
m-832	67	50	wave	wave	NOUN
m-832	67	51	velocity	velocity	NOUN
m-832	67	52	)	)	PUNCT
m-832	67	53	,	,	PUNCT
m-832	67	54	)	)	PUNCT
m-832	67	55	(	(	PUNCT
m-832	67	56	2	2	NUM
m-832	67	57	222	222	NUM
m-832	67	58	2	2	NUM
m-832	67	59			NOUN
m-832	67	60			PROPN
m-832	68	1	lh	lh	NOUN
m-832	68	2	m	m	VERB
m-832	68	3	oe	oe	ADJ
m-832	68	4	)	)	PUNCT
m-832	68	5	(	(	PUNCT
m-832	68	6	numberhartmann	numberhartmann	NOUN
m-832	68	7	2	2	NUM
m-832	68	8	2	2	NUM
m-832	68	9	2	2	NUM
m-832	68	10	2	2	NUM
m-832	68	11	22	22	NUM
m-832	68	12	1	1	NUM
m-832	68	13	yx	yx	ADP
m-832	68	14			PROPN
m-832	68	15			PROPN
m-832	68	16			PROPN
m-832	68	17			PROPN
m-832	68	18			PROPN
m-832	68	19			NOUN
m-832	69	1			NUM
m-832	69	2	the	the	DET
m-832	69	3	corresponding	corresponding	ADJ
m-832	69	4	boundary	boundary	ADJ
m-832	69	5	conditions	condition	NOUN
m-832	69	6	are	be	AUX
m-832	69	7	1)1()1	1)1()1	NUM
m-832	69	8	(	(	PUNCT
m-832	69	9			PROPN
m-832	69	10			PROPN
m-832	69	11	10,0	10,0	NUM
m-832	70	1			PROPN
m-832	70	2			ADJ
m-832	70	3			ADJ
m-832	70	4			PROPN
m-832	70	5			PROPN
m-832	70	6			PROPN
m-832	70	7	yat	yat	PROPN
m-832	70	8	yx	yx	PROPN
m-832	70	9			PROPN
m-832	70	10	(	(	PUNCT
m-832	70	11	2.9	2.9	NUM
m-832	70	12	)	)	PUNCT
m-832	70	13	1	1	NUM
m-832	70	14	)	)	PUNCT
m-832	70	15	,	,	PUNCT
m-832	70	16	(	(	PUNCT
m-832	70	17	yx	yx	NUM
m-832	70	18	on	on	ADP
m-832	70	19	y	y	PROPN
m-832	70	20	=	=	PUNCT
m-832	70	21	-1	-1	PROPN
m-832	70	22	)	)	PUNCT
m-832	70	23	(	(	PUNCT
m-832	70	24	)	)	PUNCT
m-832	70	25	,	,	PUNCT
m-832	70	26	(	(	PUNCT
m-832	70	27	txsinyx	txsinyx	PROPN
m-832	70	28			ADV
m-832	70	29			ADV
m-832	70	30	on	on	ADP
m-832	70	31	y	y	PROPN
m-832	70	32	=	=	SYM
m-832	70	33	1	1	NUM
m-832	70	34	00	00	NUM
m-832	70	35			NUM
m-832	70	36			PROPN
m-832	70	37			PROPN
m-832	70	38	yat	yat	PROPN
m-832	70	39	y	y	PROPN
m-832	70	40			PROPN
m-832	70	41	(	(	PUNCT
m-832	70	42	2.10	2.10	NUM
m-832	70	43	)	)	PUNCT
m-832	70	44	the	the	DET
m-832	70	45	value	value	NOUN
m-832	70	46	of	of	ADP
m-832	70	47			NOUN
m-832	70	48	on	on	ADP
m-832	70	49	the	the	DET
m-832	70	50	boundary	boundary	NOUN
m-832	70	51	assumes	assume	VERB
m-832	70	52	the	the	DET
m-832	70	53	constant	constant	ADJ
m-832	70	54	volumetric	volumetric	NOUN
m-832	70	55	flow	flow	NOUN
m-832	70	56	in	in	ADP
m-832	70	57	consistent	consistent	ADJ
m-832	70	58	with	with	ADP
m-832	70	59	the	the	DET
m-832	70	60	hypothesis(2.9	hypothesis(2.9	NOUN
m-832	70	61	)	)	PUNCT
m-832	70	62	.also	.also	PUNCT
m-832	70	63	the	the	DET
m-832	70	64	wall	wall	PROPN
m-832	70	65	temperature	temperature	NOUN
m-832	70	66	varies	vary	VERB
m-832	70	67	in	in	ADP
m-832	70	68	the	the	DET
m-832	70	69	axial	axial	ADJ
m-832	70	70	direction	direction	NOUN
m-832	70	71	in	in	ADP
m-832	70	72	accordance	accordance	NOUN
m-832	70	73	with	with	ADP
m-832	70	74	the	the	DET
m-832	70	75	prescribed	prescribe	VERB
m-832	70	76	arbitrary	arbitrary	ADJ
m-832	70	77	function	function	NOUN
m-832	70	78	t	t	NOUN
m-832	70	79	.	.	PUNCT
m-832	71	1	3.analysis	3.analysis	NUM
m-832	71	2	of	of	ADP
m-832	71	3	the	the	DET
m-832	71	4	flow	flow	NOUN
m-832	71	5	:	:	PUNCT
m-832	71	6	the	the	DET
m-832	71	7	perturbation	perturbation	NOUN
m-832	71	8	analysis	analysis	NOUN
m-832	71	9	is	be	AUX
m-832	71	10	carried	carry	VERB
m-832	71	11	out	out	ADP
m-832	71	12	by	by	ADP
m-832	71	13	assuming	assume	VERB
m-832	71	14	that	that	SCONJ
m-832	71	15	the	the	DET
m-832	71	16	aspect	aspect	NOUN
m-832	71	17	ratio	ratio	NOUN
m-832	71	18			NUM
m-832	71	19	to	to	PART
m-832	71	20	be	be	AUX
m-832	71	21	small	small	ADJ
m-832	71	22	.	.	PUNCT
m-832	72	1	we	we	PRON
m-832	72	2	adopt	adopt	VERB
m-832	72	3	the	the	DET
m-832	72	4	perturbation	perturbation	NOUN
m-832	72	5	scheme	scheme	NOUN
m-832	72	6	and	and	CCONJ
m-832	72	7	write	write	VERB
m-832	72	8			NOUN
m-832	72	9	)	)	PUNCT
m-832	72	10	,	,	PUNCT
m-832	72	11	(	(	PUNCT
m-832	72	12	)	)	PUNCT
m-832	72	13	,	,	PUNCT
m-832	72	14	(	(	PUNCT
m-832	72	15	)	)	PUNCT
m-832	72	16	,	,	PUNCT
m-832	72	17	(	(	PUNCT
m-832	72	18	)	)	PUNCT
m-832	72	19	,	,	PUNCT
m-832	72	20	(	(	PUNCT
m-832	72	21	2	2	NUM
m-832	72	22	2	2	NUM
m-832	72	23	10	10	NUM
m-832	72	24	yxyxyxyx	yxyxyxyx	NOUN
m-832	72	25			PRON
m-832	72	26	…	…	SYM
m-832	72	27	…	…	PUNCT
m-832	72	28	…	…	SYM
m-832	72	29	……	……	NOUN
m-832	72	30	.	.	PUNCT
m-832	73	1			NOUN
m-832	73	2	)	)	PUNCT
m-832	73	3	,	,	PUNCT
m-832	73	4	(	(	PUNCT
m-832	73	5	)	)	PUNCT
m-832	73	6	,	,	PUNCT
m-832	73	7	(	(	PUNCT
m-832	73	8	)	)	PUNCT
m-832	73	9	,	,	PUNCT
m-832	73	10	(	(	PUNCT
m-832	73	11	)	)	PUNCT
m-832	73	12	,	,	PUNCT
m-832	73	13	(	(	PUNCT
m-832	73	14	2	2	NUM
m-832	73	15	2	2	NUM
m-832	73	16	10	10	NUM
m-832	73	17	yxyxyxyx	yxyxyxyx	ADJ
m-832	73	18			X
m-832	73	19	…	…	PUNCT
m-832	73	20	…	…	PUNCT
m-832	73	21	…	…	PUNCT
m-832	73	22	……	……	NOUN
m-832	73	23	……	……	NOUN
m-832	73	24	(	(	PUNCT
m-832	73	25	3.1	3.1	NUM
m-832	73	26	)	)	PUNCT
m-832	73	27	on	on	ADP
m-832	73	28	substituting	substitute	VERB
m-832	73	29	(	(	PUNCT
m-832	73	30	3.1	3.1	NUM
m-832	73	31	)	)	PUNCT
m-832	73	32	in	in	ADP
m-832	73	33	(	(	PUNCT
m-832	73	34	2.13	2.13	NUM
m-832	73	35	)	)	PUNCT
m-832	73	36	(	(	PUNCT
m-832	73	37	2.15	2.15	NUM
m-832	73	38	)	)	PUNCT
m-832	73	39	and	and	CCONJ
m-832	73	40	separating	separate	VERB
m-832	73	41	the	the	DET
m-832	73	42	like	like	ADJ
m-832	73	43	powers	power	NOUN
m-832	73	44	of	of	ADP
m-832	73	45			NUM
m-832	73	46	the	the	DET
m-832	73	47	equations	equation	NOUN
m-832	73	48	and	and	CCONJ
m-832	73	49	respective	respective	ADJ
m-832	73	50	conditions	condition	NOUN
m-832	73	51	to	to	ADP
m-832	73	52	the	the	DET
m-832	73	53	zeroth	zeroth	ADJ
m-832	73	54	order	order	NOUN
m-832	73	55	are	be	AUX
m-832	73	56	)	)	PUNCT
m-832	73	57	(	(	PUNCT
m-832	73	58	,	,	PUNCT
m-832	73	59	0,0,0	0,0,0	NUM
m-832	73	60	2	2	NUM
m-832	73	61	1,0	1,0	NUM
m-832	73	62	yyyyyyyyy	yyyyyyyyy	NOUN
m-832	73	63	ncgm	ncgm	NOUN
m-832	73	64			PROPN
m-832	73	65			NOUN
m-832	73	66	(	(	PUNCT
m-832	73	67	3.2	3.2	NUM
m-832	73	68	)	)	PUNCT
m-832	73	69	0	0	NUM
m-832	73	70	)	)	PUNCT
m-832	73	71	(	(	PUNCT
m-832	73	72	)	)	PUNCT
m-832	73	73	(	(	PUNCT
m-832	73	74	)	)	PUNCT
m-832	73	75	(	(	PUNCT
m-832	73	76	2	2	NUM
m-832	73	77	,	,	PUNCT
m-832	73	78	21	21	NUM
m-832	73	79	2	2	NUM
m-832	73	80	,	,	PUNCT
m-832	73	81	2	2	NUM
m-832	73	82	,	,	PUNCT
m-832	73	83			NUM
m-832	73	84			PUNCT
m-832	73	85			ADV
m-832	73	86			VERB
m-832	73	87	yo	yo	PROPN
m-832	73	88	c	c	PROPN
m-832	73	89	yyo	yyo	PROPN
m-832	73	90	c	c	PROPN
m-832	73	91	yyo	yyo	PROPN
m-832	73	92	g	g	PROPN
m-832	73	93	mdpe	mdpe	PROPN
m-832	73	94	g	g	PROPN
m-832	73	95	rpe	rpe	PROPN
m-832	73	96			PROPN
m-832	73	97	(	(	PUNCT
m-832	73	98	3.3	3.3	NUM
m-832	73	99	)	)	PUNCT
m-832	73	100	with	with	ADP
m-832	73	101	1)1()1(0	1)1()1(0	PROPN
m-832	73	102			PROPN
m-832	73	103			PROPN
m-832	73	104			PROPN
m-832	73	105	0	0	NUM
m-832	73	106	,	,	PUNCT
m-832	73	107	y	y	PROPN
m-832	73	108	=	=	SYM
m-832	73	109	0	0	PROPN
m-832	73	110	,	,	PUNCT
m-832	73	111			NOUN
m-832	73	112	0	0	PUNCT
m-832	73	113	,	,	PUNCT
m-832	73	114	x	x	PUNCT
m-832	74	1	=	=	X
m-832	74	2	0	0	NUM
m-832	74	3	at	at	ADP
m-832	74	4	y	y	PROPN
m-832	74	5	=	=	SYM
m-832	74	6	1	1	PROPN
m-832	74	7	(	(	PUNCT
m-832	74	8	3.4	3.4	NUM
m-832	74	9	)	)	PUNCT
m-832	74	10	1	1	NUM
m-832	74	11	)	)	PUNCT
m-832	74	12	(	(	PUNCT
m-832	74	13	11	11	NUM
m-832	74	14			NOUN
m-832	74	15			NUM
m-832	74	16	yontxsin	yontxsin	NOUN
m-832	74	17	yon	yon	NOUN
m-832	75	1	o	o	NOUN
m-832	75	2	o	o	INTJ
m-832	75	3			INTJ
m-832	75	4			X
m-832	75	5	(	(	PUNCT
m-832	75	6	3.5	3.5	NUM
m-832	75	7	)	)	PUNCT
m-832	75	8	and	and	CCONJ
m-832	75	9	to	to	ADP
m-832	75	10	the	the	DET
m-832	75	11	first	first	ADJ
m-832	75	12	order	order	NOUN
m-832	75	13	are	be	AUX
m-832	75	14	ijo	ijo	PROPN
m-832	75	15	journals	journal	NOUN
m-832	75	16	volume	volume	NOUN
m-832	75	17	07	07	NUM
m-832	75	18	|	|	ADV
m-832	75	19	issue	issue	NOUN
m-832	75	20	04	04	NUM
m-832	76	1	|	|	CCONJ
m-832	76	2	april	april	PROPN
m-832	76	3	2024	2024	NUM
m-832	77	1	|	|	ADV
m-832	77	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	77	3	4	4	NUM
m-832	77	4	ijo	ijo	PROPN
m-832	77	5	international	international	ADJ
m-832	77	6	journal	journal	PROPN
m-832	77	7	of	of	ADP
m-832	77	8	mathematics	mathematics	PROPN
m-832	77	9	(	(	PUNCT
m-832	77	10	issn	issn	PROPN
m-832	77	11	:	:	PUNCT
m-832	77	12	2992	2992	NUM
m-832	77	13	-	-	SYM
m-832	77	14	4421	4421	NUM
m-832	77	15	)	)	PUNCT
m-832	78	1	prakasha.p1	prakasha.p1	PROPN
m-832	78	2	*	*	PUNCT
m-832	78	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	78	4	volume	volume	NOUN
m-832	78	5	07	07	NUM
m-832	78	6	issue	issue	NOUN
m-832	78	7	04	04	NUM
m-832	78	8	||	||	NOUN
m-832	78	9	april	april	PROPN
m-832	78	10	,	,	PUNCT
m-832	78	11	2024	2024	NUM
m-832	78	12	||	||	NOUN
m-832	78	13	mathematical	mathematical	ADJ
m-832	78	14	analysis	analysis	NOUN
m-832	78	15	of	of	ADP
m-832	78	16	effect	effect	NOUN
m-832	78	17	of	of	ADP
m-832	78	18	viscous	viscous	ADJ
m-832	78	19	dissipation	dissipation	NOUN
m-832	78	20	on	on	ADP
m-832	78	21	transient	transient	ADJ
m-832	78	22	mhd	mhd	PROPN
m-832	78	23	convective	convective	ADJ
m-832	78	24	heat	heat	NOUN
m-832	78	25	transfer	transfer	NOUN
m-832	78	26	through	through	ADP
m-832	78	27	a	a	DET
m-832	78	28	porous	porous	ADJ
m-832	78	29	medium	medium	NOUN
m-832	78	30	in	in	ADP
m-832	78	31	a	a	DET
m-832	78	32	vertical	vertical	ADJ
m-832	78	33	channel	channel	NOUN
m-832	78	34	)	)	PUNCT
m-832	78	35	(	(	PUNCT
m-832	78	36	,	,	PUNCT
m-832	78	37	0,0,0,0,1	0,0,0,0,1	NOUN
m-832	78	38	2	2	NUM
m-832	78	39	1,1	1,1	NUM
m-832	78	40	yyyxyyxyyyyyyyyy	yyyxyyxyyyyyyyyy	ADJ
m-832	78	41	gm	gm	PROPN
m-832	79	1			PROPN
m-832	79	2			NOUN
m-832	79	3	(	(	PUNCT
m-832	79	4	3.6	3.6	NUM
m-832	79	5	)	)	PUNCT
m-832	79	6	)	)	PUNCT
m-832	79	7	.	.	PUNCT
m-832	80	1	(	(	PUNCT
m-832	80	2	2	2	NUM
m-832	80	3	)	)	PUNCT
m-832	80	4	.	.	PUNCT
m-832	81	1	(	(	PUNCT
m-832	81	2	2	2	X
m-832	81	3	)	)	PUNCT
m-832	81	4	(	(	PUNCT
m-832	81	5	,	,	PUNCT
m-832	81	6	1,0	1,0	NUM
m-832	81	7	1	1	NUM
m-832	81	8	,	,	PUNCT
m-832	81	9	1,0	1,0	NUM
m-832	81	10	2	2	NUM
m-832	81	11	,	,	PUNCT
m-832	81	12	0,,0,1	0,,0,1	PROPN
m-832	82	1	yy	yy	INTJ
m-832	82	2	c	c	PROPN
m-832	82	3	yyyy	yyyy	PROPN
m-832	82	4	c	c	PROPN
m-832	82	5	oxyyox	oxyyox	PROPN
m-832	82	6	g	g	PROPN
m-832	82	7	dpe	dpe	PROPN
m-832	83	1	g	g	PROPN
m-832	83	2	rpe	rpe	PROPN
m-832	83	3	yy	yy	PROPN
m-832	83	4			PROPN
m-832	83	5			PROPN
m-832	83	6			PROPN
m-832	83	7	(	(	PUNCT
m-832	83	8	3.7	3.7	NUM
m-832	83	9	)	)	PUNCT
m-832	83	10	with	with	ADP
m-832	83	11			NOUN
m-832	83	12	1(+1	1(+1	NUM
m-832	83	13	)	)	PUNCT
m-832	83	14			NOUN
m-832	83	15	1(-1	1(-1	NUM
m-832	83	16	)	)	PUNCT
m-832	84	1	=	=	SYM
m-832	84	2	0	0	PUNCT
m-832	85	1			NUM
m-832	85	2	1	1	NUM
m-832	85	3	,	,	PUNCT
m-832	85	4	y	y	PROPN
m-832	85	5	=	=	SYM
m-832	85	6	0	0	PROPN
m-832	85	7	,	,	PUNCT
m-832	85	8			NOUN
m-832	85	9	1	1	NUM
m-832	85	10	,	,	PUNCT
m-832	85	11	x	x	PUNCT
m-832	85	12	=	=	SYM
m-832	85	13	0	0	NUM
m-832	85	14	at	at	ADP
m-832	85	15	y	y	PROPN
m-832	85	16	=	=	SYM
m-832	85	17	1	1	PROPN
m-832	85	18	(	(	PUNCT
m-832	85	19	3.8	3.8	NUM
m-832	85	20	)	)	PUNCT
m-832	85	21	1(1	1(1	PROPN
m-832	85	22	)	)	PUNCT
m-832	86	1	=	=	SYM
m-832	86	2	0	0	NUM
m-832	87	1	at	at	ADP
m-832	87	2	y	y	PROPN
m-832	87	3	=	=	SYM
m-832	87	4			PROPN
m-832	87	5	1	1	NUM
m-832	87	6	(	(	PUNCT
m-832	87	7	3.9	3.9	NUM
m-832	87	8	)	)	PUNCT
m-832	87	9	assuming	assume	VERB
m-832	87	10	ec<<1	ec<<1	PROPN
m-832	87	11	to	to	PART
m-832	87	12	be	be	AUX
m-832	87	13	small	small	ADJ
m-832	87	14	we	we	PRON
m-832	87	15	take	take	VERB
m-832	87	16	the	the	DET
m-832	87	17	asymptotic	asymptotic	ADJ
m-832	87	18	expansions	expansion	NOUN
m-832	87	19	as	as	ADP
m-832	87	20	...............	...............	PUNCT
m-832	87	21	)	)	PUNCT
m-832	87	22	,	,	PUNCT
m-832	87	23	(	(	PUNCT
m-832	87	24	)	)	PUNCT
m-832	87	25	,	,	PUNCT
m-832	87	26	(	(	PUNCT
m-832	87	27	)	)	PUNCT
m-832	87	28	,	,	PUNCT
m-832	87	29	(	(	PUNCT
m-832	87	30	...............	...............	PUNCT
m-832	87	31	)	)	PUNCT
m-832	87	32	,	,	PUNCT
m-832	87	33	(	(	PUNCT
m-832	87	34	)	)	PUNCT
m-832	87	35	,	,	PUNCT
m-832	87	36	(	(	PUNCT
m-832	87	37	)	)	PUNCT
m-832	87	38	,	,	PUNCT
m-832	87	39	(	(	PUNCT
m-832	87	40	............	............	PUNCT
m-832	87	41	)	)	PUNCT
m-832	87	42	,	,	PUNCT
m-832	87	43	(	(	PUNCT
m-832	87	44	)	)	PUNCT
m-832	87	45	,	,	PUNCT
m-832	87	46	(	(	PUNCT
m-832	87	47	)	)	PUNCT
m-832	87	48	,	,	PUNCT
m-832	87	49	(	(	PUNCT
m-832	87	50	...........	...........	PUNCT
m-832	87	51	)	)	PUNCT
m-832	87	52	,	,	PUNCT
m-832	87	53	(	(	PUNCT
m-832	87	54	)	)	PUNCT
m-832	87	55	,	,	PUNCT
m-832	87	56	(	(	PUNCT
m-832	87	57	)	)	PUNCT
m-832	87	58	,	,	PUNCT
m-832	87	59	(	(	PUNCT
m-832	87	60	11101	11101	NUM
m-832	87	61	01000	01000	NUM
m-832	87	62	11101	11101	NUM
m-832	87	63	01000	01000	NUM
m-832	87	64			PROPN
m-832	87	65			PUNCT
m-832	87	66			VERB
m-832	87	67			PUNCT
m-832	87	68	yxyxyx	yxyxyx	PROPN
m-832	87	69	yxyxyx	yxyxyx	PROPN
m-832	87	70	yxecyxyx	yxecyxyx	PROPN
m-832	87	71	yxecyxyx	yxecyxyx	PROPN
m-832	87	72			SYM
m-832	87	73			PUNCT
m-832	88	1			PUNCT
m-832	88	2			INTJ
m-832	88	3	(	(	PUNCT
m-832	88	4	3.10	3.10	NUM
m-832	88	5	)	)	PUNCT
m-832	88	6	substituting	substitute	VERB
m-832	88	7	the	the	DET
m-832	88	8	expansions(3.10	expansions(3.10	NUM
m-832	88	9	)	)	PUNCT
m-832	88	10	in	in	ADP
m-832	88	11	equations	equation	NOUN
m-832	88	12	(	(	PUNCT
m-832	88	13	3.2)-(3.9	3.2)-(3.9	NUM
m-832	88	14	)	)	PUNCT
m-832	88	15	and	and	CCONJ
m-832	88	16	separating	separate	VERB
m-832	88	17	the	the	DET
m-832	88	18	like	like	ADJ
m-832	88	19	powersof	powersof	NOUN
m-832	88	20	ec	ec	PROPN
m-832	88	21	we	we	PRON
m-832	88	22	get	get	VERB
m-832	88	23	the	the	DET
m-832	88	24	following	follow	VERB
m-832	88	25	10000,00	10000,00	PROPN
m-832	88	26	)	)	PUNCT
m-832	89	1	1(,1)1	1(,1)1	NUM
m-832	89	2	(	(	PUNCT
m-832	89	3	,	,	PUNCT
m-832	89	4	sindyy	sindyy	CCONJ
m-832	89	5			NUM
m-832	89	6			PROPN
m-832	89	7	(	(	PUNCT
m-832	89	8	3.11	3.11	NUM
m-832	89	9	)	)	PUNCT
m-832	89	10	10,0	10,0	NOUN
m-832	89	11	1)1()1	1)1()1	NUM
m-832	89	12	(	(	PUNCT
m-832	89	13	,	,	PUNCT
m-832	89	14	,	,	PUNCT
m-832	89	15	00,00	00,00	NUM
m-832	89	16	0000,00,00	0000,00,00	NUM
m-832	89	17	2	2	NUM
m-832	89	18	1,00	1,00	NUM
m-832	89	19			NOUN
m-832	89	20			PUNCT
m-832	89	21	yat	yat	PROPN
m-832	89	22	gm	gm	PROPN
m-832	89	23	xy	xy	PROPN
m-832	89	24	yyyyyyy	yyyyyyy	NOUN
m-832	89	25			NOUN
m-832	89	26			X
m-832	89	27	(	(	PUNCT
m-832	89	28	3.12	3.12	NUM
m-832	89	29	)	)	PUNCT
m-832	89	30	0)1	0)1	PROPN
m-832	89	31	(	(	PUNCT
m-832	89	32	,	,	PUNCT
m-832	89	33	01	01	NUM
m-832	89	34	2	2	NUM
m-832	89	35	,	,	PUNCT
m-832	89	36	00	00	NUM
m-832	89	37	1	1	NUM
m-832	89	38	,	,	PUNCT
m-832	89	39	00	00	NUM
m-832	89	40	2	2	NUM
m-832	89	41	,	,	PUNCT
m-832	89	42	01	01	NUM
m-832	89	43			PROPN
m-832	89	44			PROPN
m-832	89	45			PROPN
m-832	89	46	yyyyy	yyyyy	PROPN
m-832	89	47	g	g	PROPN
m-832	89	48	pd	pd	PROPN
m-832	89	49	g	g	PROPN
m-832	89	50	pr	pr	X
m-832	89	51	(	(	PUNCT
m-832	89	52	3.13	3.13	NUM
m-832	89	53	)	)	PUNCT
m-832	89	54	10,0	10,0	NOUN
m-832	89	55	,	,	PUNCT
m-832	89	56	0)1()1	0)1()1	NUM
m-832	89	57	(	(	PUNCT
m-832	89	58	,	,	PUNCT
m-832	89	59	,	,	PUNCT
m-832	89	60	01,01	01,01	NOUN
m-832	89	61	0101,01,01	0101,01,01	NUM
m-832	89	62	2	2	NUM
m-832	89	63	1,01	1,01	NUM
m-832	89	64			NOUN
m-832	89	65			NUM
m-832	89	66	yat	yat	PROPN
m-832	89	67	gm	gm	PROPN
m-832	89	68	xy	xy	PROPN
m-832	89	69	yyyyyyy	yyyyyyy	NOUN
m-832	89	70			NOUN
m-832	89	71			X
m-832	89	72	(	(	PUNCT
m-832	89	73	3.14	3.14	NUM
m-832	89	74	)	)	PUNCT
m-832	89	75	0)1	0)1	PROPN
m-832	89	76	(	(	PUNCT
m-832	89	77	)	)	PUNCT
m-832	89	78	(	(	PUNCT
m-832	89	79	10,00,00,00,00,10	10,00,00,00,00,10	NUM
m-832	89	80			ADV
m-832	89	81			NOUN
m-832	89	82	yxxyyy	yxxyyy	NOUN
m-832	89	83	(	(	PUNCT
m-832	89	84	3.15	3.15	NUM
m-832	89	85	)	)	PUNCT
m-832	89	86	10,0,0)1()1	10,0,0)1()1	NUM
m-832	89	87	(	(	PUNCT
m-832	89	88	,	,	PUNCT
m-832	89	89	)	)	PUNCT
m-832	89	90	(	(	PUNCT
m-832	89	91	,	,	PUNCT
m-832	89	92	10,101010	10,101010	NUM
m-832	89	93	,	,	PUNCT
m-832	89	94	00,00,00,00,10,10	00,00,00,00,10,10	PROPN
m-832	89	95	2	2	NUM
m-832	89	96	1,10	1,10	NUM
m-832	89	97			NOUN
m-832	89	98			PROPN
m-832	89	99	yat	yat	PROPN
m-832	89	100	gm	gm	PROPN
m-832	89	101	xy	xy	PROPN
m-832	89	102	yyyxxyyyyyyyyyy	yyyxxyyyyyyyyyy	NOUN
m-832	90	1			PROPN
m-832	90	2			PROPN
m-832	90	3	(	(	PUNCT
m-832	90	4	3.16	3.16	NUM
m-832	90	5	)	)	PUNCT
m-832	90	6	0)1	0)1	PROPN
m-832	90	7	(	(	PUNCT
m-832	90	8	,	,	PUNCT
m-832	90	9	2	2	NUM
m-832	90	10	2	2	NUM
m-832	90	11	)	)	PUNCT
m-832	90	12	(	(	PUNCT
m-832	90	13	1,10,00	1,10,00	NUM
m-832	90	14	1	1	NUM
m-832	90	15	,	,	PUNCT
m-832	90	16	10,00	10,00	NOUN
m-832	90	17	2	2	NUM
m-832	90	18	,	,	PUNCT
m-832	90	19	0,01,01,00,00,01,01,00,11	0,01,01,00,00,01,01,00,11	NUM
m-832	90	20			PROPN
m-832	90	21			PROPN
m-832	90	22			PROPN
m-832	90	23			NOUN
m-832	90	24			NOUN
m-832	90	25	yy	yy	PROPN
m-832	90	26	yyyyxyyxyxxyyy	yyyyxyyxyxxyyy	PROPN
m-832	90	27	g	g	PROPN
m-832	90	28	pd	pd	PROPN
m-832	90	29	g	g	PROPN
m-832	90	30	pr	pr	X
m-832	90	31	(	(	PUNCT
m-832	90	32	3.17	3.17	NUM
m-832	90	33	)	)	PUNCT
m-832	90	34	10,0,0)1()1	10,0,0)1()1	NUM
m-832	90	35	(	(	PUNCT
m-832	90	36	,	,	PUNCT
m-832	90	37	)	)	PUNCT
m-832	90	38	(	(	PUNCT
m-832	90	39	,	,	PUNCT
m-832	90	40	11,111111	11,111111	NUM
m-832	90	41	,	,	PUNCT
m-832	90	42	00.01,00,01	00.01,00,01	NUM
m-832	90	43	,	,	PUNCT
m-832	90	44	01,00,11,00,1,1	01,00,11,00,1,1	NOUN
m-832	90	45	2	2	NUM
m-832	90	46	1,11	1,11	NOUN
m-832	90	47			NOUN
m-832	90	48			PROPN
m-832	90	49			NOUN
m-832	90	50	yat	yat	PROPN
m-832	90	51	gm	gm	PROPN
m-832	90	52	xy	xy	PROPN
m-832	90	53	yyyxxyyy	yyyxxyyy	NOUN
m-832	90	54	yyyxxyyyyyyyyyy	yyyxxyyyyyyyyyy	NOUN
m-832	91	1			PROPN
m-832	92	1			PROPN
m-832	93	1			PROPN
m-832	93	2	(	(	PUNCT
m-832	93	3	3.18	3.18	NUM
m-832	93	4	)	)	PUNCT
m-832	93	5	4	4	NUM
m-832	93	6	.	.	PUNCT
m-832	93	7	shear	shear	NOUN
m-832	93	8	stress	stress	NOUN
m-832	93	9	and	and	CCONJ
m-832	93	10	nusselt	nusselt	NOUN
m-832	93	11	number	number	NOUN
m-832	93	12	the	the	DET
m-832	93	13	shear	shear	NOUN
m-832	93	14	stress	stress	NOUN
m-832	93	15	on	on	ADP
m-832	93	16	the	the	DET
m-832	93	17	channel	channel	NOUN
m-832	93	18	walls	wall	NOUN
m-832	93	19	is	be	AUX
m-832	93	20	given	give	VERB
m-832	93	21	by	by	ADP
m-832	93	22	ly	ly	ADP
m-832	93	23	x	x	SYM
m-832	93	24	v	v	ADP
m-832	93	25	y	y	PROPN
m-832	93	26	u	u	NOUN
m-832	93	27			PROPN
m-832	93	28			NOUN
m-832	93	29			PROPN
m-832	93	30			PROPN
m-832	93	31			PROPN
m-832	93	32			NOUN
m-832	93	33			PROPN
m-832	93	34			PROPN
m-832	93	35			PROPN
m-832	93	36			PROPN
m-832	93	37			PROPN
m-832	93	38			PROPN
m-832	93	39			PROPN
m-832	93	40	ijo	ijo	PROPN
m-832	93	41	journals	journal	NOUN
m-832	93	42	volume	volume	NOUN
m-832	93	43	07	07	NUM
m-832	93	44	|	|	ADV
m-832	93	45	issue	issue	NOUN
m-832	93	46	04	04	NUM
m-832	94	1	|	|	CCONJ
m-832	94	2	april	april	PROPN
m-832	94	3	2024	2024	NUM
m-832	95	1	|	|	ADV
m-832	95	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	95	3	5	5	NUM
m-832	95	4	ijo	ijo	PROPN
m-832	95	5	international	international	ADJ
m-832	95	6	journal	journal	PROPN
m-832	95	7	of	of	ADP
m-832	95	8	mathematics	mathematics	PROPN
m-832	95	9	(	(	PUNCT
m-832	95	10	issn	issn	PROPN
m-832	95	11	:	:	PUNCT
m-832	95	12	2992	2992	NUM
m-832	95	13	-	-	SYM
m-832	95	14	4421	4421	NUM
m-832	95	15	)	)	PUNCT
m-832	96	1	prakasha.p1	prakasha.p1	PROPN
m-832	96	2	*	*	PUNCT
m-832	96	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	96	4	volume	volume	NOUN
m-832	96	5	07	07	NUM
m-832	96	6	issue	issue	NOUN
m-832	96	7	04	04	NUM
m-832	96	8	||	||	NOUN
m-832	96	9	april	april	PROPN
m-832	96	10	,	,	PUNCT
m-832	96	11	2024	2024	NUM
m-832	96	12	||	||	NOUN
m-832	96	13	mathematical	mathematical	ADJ
m-832	96	14	analysis	analysis	NOUN
m-832	96	15	of	of	ADP
m-832	96	16	effect	effect	NOUN
m-832	96	17	of	of	ADP
m-832	96	18	viscous	viscous	ADJ
m-832	96	19	dissipation	dissipation	NOUN
m-832	96	20	on	on	ADP
m-832	96	21	transient	transient	ADJ
m-832	96	22	mhd	mhd	PROPN
m-832	96	23	convective	convective	ADJ
m-832	96	24	heat	heat	NOUN
m-832	96	25	transfer	transfer	NOUN
m-832	96	26	through	through	ADP
m-832	96	27	a	a	DET
m-832	96	28	porous	porous	ADJ
m-832	96	29	medium	medium	NOUN
m-832	96	30	in	in	ADP
m-832	96	31	a	a	DET
m-832	96	32	vertical	vertical	ADJ
m-832	96	33	channel	channel	NOUN
m-832	96	34	which	which	PRON
m-832	96	35	in	in	ADP
m-832	96	36	the	the	DET
m-832	96	37	nondimensional	nondimensional	ADJ
m-832	96	38	form	form	NOUN
m-832	96	39	reduces	reduce	VERB
m-832	96	40	to	to	ADP
m-832	96	41	1	1	NUM
m-832	96	42	2	2	NUM
m-832	96	43	,	,	PUNCT
m-832	96	44	11,10,01,00	11,10,01,00	NUM
m-832	96	45	2	2	NUM
m-832	96	46	)	)	PUNCT
m-832	96	47	]	]	PUNCT
m-832	96	48	(	(	PUNCT
m-832	96	49	(	(	PUNCT
m-832	96	50	[	[	X
m-832	96	51	)	)	PUNCT
m-832	96	52	(	(	PUNCT
m-832	96	53			NOUN
m-832	96	54			PROPN
m-832	96	55			PROPN
m-832	96	56			PROPN
m-832	96	57			PROPN
m-832	97	1			PROPN
m-832	97	2			NOUN
m-832	98	1			PROPN
m-832	99	1			PROPN
m-832	100	1			PROPN
m-832	101	1			PROPN
m-832	102	1			PROPN
m-832	103	1			PROPN
m-832	103	2			NOUN
m-832	103	3			NUM
m-832	103	4	yyyyyyyyy	yyyyyyyyy	PROPN
m-832	103	5	xxyy	xxyy	PROPN
m-832	103	6	oecec	oecec	PROPN
m-832	103	7	a	a	DET
m-832	103	8	u	u	NOUN
m-832	103	9			NOUN
m-832	103	10			NOUN
m-832	103	11			NOUN
m-832	103	12			NOUN
m-832	103	13			NOUN
m-832	103	14	and	and	CCONJ
m-832	103	15	the	the	DET
m-832	103	16	corresponding	corresponding	ADJ
m-832	103	17	expressions	expression	NOUN
m-832	103	18	are	be	AUX
m-832	103	19	)	)	PUNCT
m-832	103	20	(	(	PUNCT
m-832	103	21	)	)	PUNCT
m-832	103	22	(	(	PUNCT
m-832	103	23	2	2	NUM
m-832	103	24	5431	5431	NUM
m-832	103	25			NOUN
m-832	103	26	odecddy	odecddy	NOUN
m-832	103	27			NUM
m-832	103	28	)	)	PUNCT
m-832	103	29	(	(	PUNCT
m-832	103	30	)	)	PUNCT
m-832	103	31	(	(	PUNCT
m-832	103	32	2	2	NUM
m-832	103	33	8761	8761	NUM
m-832	103	34			NOUN
m-832	103	35	odecddy	odecddy	NOUN
m-832	103	36			PROPN
m-832	103	37	the	the	DET
m-832	103	38	local	local	ADJ
m-832	103	39	rate	rate	NOUN
m-832	103	40	of	of	ADP
m-832	103	41	heat	heat	NOUN
m-832	103	42	transfer	transfer	NOUN
m-832	103	43	coefficient	coefficient	NOUN
m-832	103	44	(	(	PUNCT
m-832	103	45	nusselt	nusselt	PROPN
m-832	103	46	number	number	NOUN
m-832	103	47	nu	nu	PROPN
m-832	103	48	)	)	PUNCT
m-832	103	49	on	on	ADP
m-832	103	50	the	the	DET
m-832	103	51	walls	wall	NOUN
m-832	103	52	has	have	AUX
m-832	103	53	been	be	AUX
m-832	103	54	calculated	calculate	VERB
m-832	103	55	using	use	VERB
m-832	103	56	the	the	DET
m-832	103	57	formula	formula	NOUN
m-832	103	58	1	1	NUM
m-832	103	59	)	)	PUNCT
m-832	104	1	(	(	PUNCT
m-832	104	2	1	1	NUM
m-832	104	3			PROPN
m-832	104	4			ADJ
m-832	104	5			ADJ
m-832	104	6			VERB
m-832	104	7			NOUN
m-832	104	8	y	y	PROPN
m-832	104	9	wm	wm	PROPN
m-832	104	10	y	y	PROPN
m-832	104	11	nu	nu	PROPN
m-832	104	12			PROPN
m-832	105	1			PROPN
m-832	105	2	where	where	SCONJ
m-832	105	3			PUNCT
m-832	105	4			NOUN
m-832	105	5			NOUN
m-832	105	6	1	1	NUM
m-832	105	7	1	1	NUM
m-832	105	8	5.0	5.0	NUM
m-832	105	9	dym	dym	ADJ
m-832	105	10			PROPN
m-832	105	11	and	and	CCONJ
m-832	105	12	the	the	DET
m-832	105	13	corresponding	corresponding	ADJ
m-832	105	14	expressions	expression	NOUN
m-832	105	15	are	be	AUX
m-832	105	16	)	)	PUNCT
m-832	105	17	(	(	PUNCT
m-832	105	18	)	)	PUNCT
m-832	105	19	(	(	PUNCT
m-832	105	20	)	)	PUNCT
m-832	105	21	(	(	PUNCT
m-832	105	22	,	,	PUNCT
m-832	105	23	)	)	PUNCT
m-832	105	24	(	(	PUNCT
m-832	105	25	)	)	PUNCT
m-832	105	26	(	(	PUNCT
m-832	105	27	)	)	PUNCT
m-832	105	28	(	(	PUNCT
m-832	105	29	6510	6510	NUM
m-832	105	30	987	987	NUM
m-832	105	31	1	1	NUM
m-832	105	32	654	654	NUM
m-832	105	33	321	321	NUM
m-832	105	34	1	1	NUM
m-832	105	35	mecmm	mecmm	NOUN
m-832	105	36	mmecm	mmecm	PROPN
m-832	105	37	un	un	PROPN
m-832	105	38	mmecm	mmecm	PROPN
m-832	105	39	mecmm	mecmm	PROPN
m-832	105	40	un	un	PROPN
m-832	106	1	yy	yy	PROPN
m-832	107	1			NUM
m-832	107	2			NUM
m-832	107	3			NUM
m-832	107	4			NUM
m-832	107	5			PROPN
m-832	107	6			PROPN
m-832	107	7			ADJ
m-832	107	8			PROPN
m-832	107	9			PROPN
m-832	107	10			PROPN
m-832	107	11			NOUN
m-832	107	12	5	5	NUM
m-832	107	13	.	.	PUNCT
m-832	107	14	discussion	discussion	NOUN
m-832	107	15	of	of	ADP
m-832	107	16	the	the	DET
m-832	107	17	numerical	numerical	ADJ
m-832	107	18	results	result	NOUN
m-832	107	19	:	:	PUNCT
m-832	107	20	the	the	DET
m-832	107	21	aim	aim	NOUN
m-832	107	22	of	of	ADP
m-832	107	23	this	this	DET
m-832	107	24	analysis	analysis	NOUN
m-832	107	25	is	be	AUX
m-832	107	26	to	to	PART
m-832	107	27	discuss	discuss	VERB
m-832	107	28	the	the	DET
m-832	107	29	effect	effect	NOUN
m-832	107	30	of	of	ADP
m-832	107	31	the	the	DET
m-832	107	32	dissipation	dissipation	NOUN
m-832	107	33	on	on	ADP
m-832	107	34	the	the	DET
m-832	107	35	convective	convective	ADJ
m-832	107	36	flow	flow	NOUN
m-832	107	37	and	and	CCONJ
m-832	107	38	heat	heat	NOUN
m-832	107	39	transfer	transfer	NOUN
m-832	107	40	of	of	ADP
m-832	107	41	a	a	DET
m-832	107	42	viscous	viscous	ADJ
m-832	107	43	fluid	fluid	NOUN
m-832	107	44	through	through	ADP
m-832	107	45	a	a	DET
m-832	107	46	porous	porous	ADJ
m-832	107	47	medium	medium	NOUN
m-832	107	48	confined	confine	VERB
m-832	107	49	in	in	ADP
m-832	107	50	a	a	DET
m-832	107	51	vertical	vertical	ADJ
m-832	107	52	channel	channel	NOUN
m-832	107	53	whose	whose	DET
m-832	107	54	walls	wall	NOUN
m-832	107	55	a	a	DET
m-832	107	56	travelling	travel	VERB
m-832	107	57	thermal	thermal	ADJ
m-832	107	58	wave	wave	NOUN
m-832	107	59	is	be	AUX
m-832	107	60	imposed	impose	VERB
m-832	107	61	.	.	PUNCT
m-832	108	1	assuming	assume	VERB
m-832	108	2	the	the	DET
m-832	108	3	eckert	eckert	PROPN
m-832	108	4	number	number	NOUN
m-832	108	5	ec	ec	PROPN
m-832	108	6	<	<	X
m-832	108	7	<	<	X
m-832	108	8	1	1	NUM
m-832	108	9	the	the	DET
m-832	108	10	coupled	couple	VERB
m-832	108	11	momentum	momentum	NOUN
m-832	108	12	and	and	CCONJ
m-832	108	13	energy	energy	NOUN
m-832	108	14	equations	equation	NOUN
m-832	108	15	have	have	AUX
m-832	108	16	been	be	AUX
m-832	108	17	solved	solve	VERB
m-832	108	18	.	.	PUNCT
m-832	109	1	the	the	DET
m-832	109	2	velocity	velocity	NOUN
m-832	109	3	and	and	CCONJ
m-832	109	4	temperature	temperature	NOUN
m-832	109	5	distributions	distribution	NOUN
m-832	109	6	are	be	AUX
m-832	109	7	analysed	analyse	VERB
m-832	109	8	for	for	ADP
m-832	109	9	different	different	ADJ
m-832	109	10	sets	set	NOUN
m-832	109	11	of	of	ADP
m-832	109	12	the	the	DET
m-832	109	13	governing	govern	VERB
m-832	109	14	parameters	parameter	NOUN
m-832	109	15	.	.	PUNCT
m-832	110	1	fig	fig	NOUN
m-832	110	2	(	(	PUNCT
m-832	110	3	1	1	NUM
m-832	110	4	)	)	PUNCT
m-832	110	5	variation	variation	NOUN
m-832	110	6	of	of	ADP
m-832	110	7	u	u	NOUN
m-832	110	8	with	with	ADP
m-832	110	9	g	g	PROPN
m-832	110	10	fig	fig	NOUN
m-832	110	11	(	(	PUNCT
m-832	110	12	2	2	NUM
m-832	110	13	)	)	PUNCT
m-832	110	14	variation	variation	NOUN
m-832	110	15	of	of	ADP
m-832	110	16	u	u	NOUN
m-832	110	17	with	with	ADP
m-832	110	18	m	m	PROPN
m-832	110	19	r=35	r=35	ADJ
m-832	110	20	,	,	PUNCT
m-832	110	21	m=2	m=2	X
m-832	110	22	,	,	PUNCT
m-832	110	23	β=0.5	β=0.5	NOUN
m-832	110	24	,	,	PUNCT
m-832	110	25	γ=2	γ=2	NOUN
m-832	110	26	,	,	PUNCT
m-832	110	27	x	x	NOUN
m-832	110	28	=	=	NOUN
m-832	110	29	π/4	π/4	PROPN
m-832	110	30	,	,	PUNCT
m-832	110	31	n1=4	n1=4	PROPN
m-832	110	32	,	,	PUNCT
m-832	110	33	t	t	PROPN
m-832	110	34	=	=	SYM
m-832	110	35	π/4	π/4	PUNCT
m-832	110	36	g=2x103	g=2x103	NOUN
m-832	110	37	,	,	PUNCT
m-832	110	38	r=35	r=35	ADJ
m-832	110	39	,	,	PUNCT
m-832	110	40	β=0.5	β=0.5	NOUN
m-832	110	41	,	,	PUNCT
m-832	110	42	γ=2	γ=2	NOUN
m-832	110	43	,	,	PUNCT
m-832	110	44	x	x	NOUN
m-832	110	45	=	=	NOUN
m-832	110	46	π/4	π/4	PROPN
m-832	110	47	,	,	PUNCT
m-832	110	48	n1=4	n1=4	PROPN
m-832	110	49	,	,	PUNCT
m-832	110	50	t	t	PROPN
m-832	110	51	=	=	PROPN
m-832	110	52	π/4	π/4	PUNCT
m-832	110	53	-1	-1	PUNCT
m-832	110	54	.0	.0	NUM
m-832	111	1	-0	-0	X
m-832	112	1	.5	.5	NUM
m-832	112	2	0	0	NUM
m-832	113	1	.0	.0	NUM
m-832	113	2	0	0	NUM
m-832	114	1	.5	.5	NUM
m-832	114	2	1	1	NUM
m-832	114	3	.0	.0	NUM
m-832	114	4	-0	-0	X
m-832	114	5	.3	.3	NUM
m-832	114	6	5	5	NUM
m-832	114	7	-0	-0	SYM
m-832	114	8	.3	.3	NUM
m-832	114	9	0	0	NUM
m-832	115	1	-0	-0	X
m-832	115	2	.2	.2	NUM
m-832	115	3	5	5	NUM
m-832	115	4	-0	-0	SYM
m-832	115	5	.2	.2	NUM
m-832	115	6	0	0	NUM
m-832	116	1	-0	-0	SYM
m-832	116	2	.1	.1	NUM
m-832	116	3	5	5	NUM
m-832	116	4	-0	-0	SYM
m-832	116	5	.1	.1	NUM
m-832	116	6	0	0	NUM
m-832	117	1	-0	-0	SYM
m-832	117	2	.0	.0	NUM
m-832	117	3	5	5	NUM
m-832	117	4	0	0	NUM
m-832	117	5	.0	.0	NUM
m-832	117	6	0	0	NUM
m-832	118	1	g	g	NOUN
m-832	118	2	=	=	SYM
m-832	118	3	1	1	NUM
m-832	118	4	0	0	NUM
m-832	118	5	3	3	NUM
m-832	118	6	g	g	NOUN
m-832	118	7	=	=	SYM
m-832	118	8	3	3	NUM
m-832	118	9	x	x	SYM
m-832	118	10	1	1	NUM
m-832	118	11	0	0	NUM
m-832	118	12	3	3	NUM
m-832	118	13	g	g	NOUN
m-832	118	14	=	=	SYM
m-832	118	15	5	5	NUM
m-832	118	16	x	x	SYM
m-832	118	17	1	1	NUM
m-832	118	18	0	0	NUM
m-832	118	19	3	3	NUM
m-832	118	20	g	g	NOUN
m-832	118	21	=	=	PUNCT
m-832	118	22	-1	-1	NOUN
m-832	118	23	0	0	NUM
m-832	118	24	3	3	NUM
m-832	118	25	g	g	NOUN
m-832	118	26	=	=	SYM
m-832	118	27	-3	-3	PUNCT
m-832	118	28	x1	x1	PROPN
m-832	118	29	0	0	NUM
m-832	118	30	3	3	NUM
m-832	118	31	g	g	NOUN
m-832	118	32	=	=	PUNCT
m-832	118	33	-5	-5	PUNCT
m-832	118	34	x1	x1	NOUN
m-832	118	35	0	0	NUM
m-832	118	36	3	3	NUM
m-832	118	37	u	u	NOUN
m-832	118	38			NUM
m-832	118	39	-1.0	-1.0	PROPN
m-832	118	40	-0.5	-0.5	PROPN
m-832	118	41	0.0	0.0	NUM
m-832	118	42	0.5	0.5	NUM
m-832	118	43	1.0	1.0	NUM
m-832	118	44	-0.55	-0.55	NOUN
m-832	118	45	-0.50	-0.50	PROPN
m-832	118	46	-0.45	-0.45	NUM
m-832	118	47	-0.40	-0.40	NOUN
m-832	118	48	-0.35	-0.35	NUM
m-832	118	49	-0.30	-0.30	PROPN
m-832	118	50	-0.25	-0.25	NUM
m-832	118	51	-0.20	-0.20	NUM
m-832	118	52	-0.15	-0.15	NUM
m-832	118	53	-0.10	-0.10	NUM
m-832	118	54	-0.05	-0.05	NUM
m-832	118	55	0.00	0.00	NUM
m-832	118	56	0.05	0.05	NUM
m-832	118	57	0.10	0.10	NUM
m-832	118	58	0.15	0.15	NUM
m-832	118	59	0.20	0.20	NUM
m-832	118	60	0.25	0.25	NUM
m-832	118	61	0.30	0.30	NUM
m-832	118	62	m=1.5	m=1.5	NOUN
m-832	118	63	m=2.5	m=2.5	VERB
m-832	118	64	m=3	m=3	ADJ
m-832	118	65	u	u	NOUN
m-832	118	66			NUM
m-832	118	67	ijo	ijo	PROPN
m-832	118	68	journals	journal	NOUN
m-832	118	69	volume	volume	NOUN
m-832	118	70	07	07	NUM
m-832	118	71	|	|	ADV
m-832	118	72	issue	issue	NOUN
m-832	118	73	04	04	NUM
m-832	119	1	|	|	CCONJ
m-832	119	2	april	april	PROPN
m-832	119	3	2024	2024	NUM
m-832	120	1	|	|	ADV
m-832	120	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	120	3	6	6	NUM
m-832	120	4	ijo	ijo	PROPN
m-832	120	5	international	international	ADJ
m-832	120	6	journal	journal	PROPN
m-832	120	7	of	of	ADP
m-832	120	8	mathematics	mathematics	PROPN
m-832	120	9	(	(	PUNCT
m-832	120	10	issn	issn	PROPN
m-832	120	11	:	:	PUNCT
m-832	120	12	2992	2992	NUM
m-832	120	13	-	-	SYM
m-832	120	14	4421	4421	NUM
m-832	120	15	)	)	PUNCT
m-832	121	1	prakasha.p1	prakasha.p1	PROPN
m-832	121	2	*	*	PUNCT
m-832	121	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	121	4	volume	volume	NOUN
m-832	121	5	07	07	NUM
m-832	121	6	issue	issue	NOUN
m-832	121	7	04	04	NUM
m-832	121	8	||	||	NOUN
m-832	121	9	april	april	PROPN
m-832	121	10	,	,	PUNCT
m-832	121	11	2024	2024	NUM
m-832	121	12	||	||	NOUN
m-832	121	13	mathematical	mathematical	ADJ
m-832	121	14	analysis	analysis	NOUN
m-832	121	15	of	of	ADP
m-832	121	16	effect	effect	NOUN
m-832	121	17	of	of	ADP
m-832	121	18	viscous	viscous	ADJ
m-832	121	19	dissipation	dissipation	NOUN
m-832	121	20	on	on	ADP
m-832	121	21	transient	transient	ADJ
m-832	121	22	mhd	mhd	PROPN
m-832	121	23	convective	convective	ADJ
m-832	121	24	heat	heat	NOUN
m-832	121	25	transfer	transfer	NOUN
m-832	121	26	through	through	ADP
m-832	121	27	a	a	DET
m-832	121	28	porous	porous	ADJ
m-832	121	29	medium	medium	NOUN
m-832	121	30	in	in	ADP
m-832	121	31	a	a	DET
m-832	121	32	vertical	vertical	ADJ
m-832	121	33	channel	channel	NOUN
m-832	121	34	-1	-1	PUNCT
m-832	121	35	.0	.0	NUM
m-832	122	1	-0	-0	X
m-832	123	1	.5	.5	NUM
m-832	123	2	0	0	NUM
m-832	124	1	.0	.0	NUM
m-832	124	2	0	0	NUM
m-832	125	1	.5	.5	NUM
m-832	125	2	1	1	NUM
m-832	125	3	.0	.0	NUM
m-832	125	4	-0	-0	INTJ
m-832	126	1	.4	.4	NUM
m-832	126	2	0	0	NUM
m-832	126	3	-0	-0	SYM
m-832	126	4	.3	.3	NUM
m-832	126	5	5	5	NUM
m-832	126	6	-0	-0	SYM
m-832	126	7	.3	.3	NUM
m-832	126	8	0	0	NUM
m-832	126	9	-0	-0	X
m-832	126	10	.2	.2	NUM
m-832	126	11	5	5	NUM
m-832	126	12	-0	-0	SYM
m-832	126	13	.2	.2	NUM
m-832	126	14	0	0	NUM
m-832	127	1	-0	-0	SYM
m-832	127	2	.1	.1	NUM
m-832	127	3	5	5	NUM
m-832	127	4	-0	-0	SYM
m-832	127	5	.1	.1	NUM
m-832	127	6	0	0	NUM
m-832	128	1	-0	-0	SYM
m-832	128	2	.0	.0	NUM
m-832	129	1	5	5	NUM
m-832	129	2	0	0	NUM
m-832	129	3	.0	.0	NUM
m-832	129	4	0	0	PUNCT
m-832	130	1			PROPN
m-832	130	2			PROPN
m-832	130	3			NOUN
m-832	130	4			PUNCT
m-832	130	5			PROPN
m-832	130	6			PROPN
m-832	130	7			NOUN
m-832	130	8			PROPN
m-832	130	9			PROPN
m-832	130	10			PROPN
m-832	130	11			NOUN
m-832	130	12			PROPN
m-832	130	13			PROPN
m-832	130	14			NUM
m-832	130	15			NOUN
m-832	130	16			PROPN
m-832	130	17			PROPN
m-832	130	18			PROPN
m-832	130	19			VERB
m-832	130	20			PROPN
m-832	130	21	u	u	NOUN
m-832	130	22			NUM
m-832	130	23	fig	fig	NOUN
m-832	130	24	(	(	PUNCT
m-832	130	25	3	3	NUM
m-832	130	26	)	)	PUNCT
m-832	130	27	variation	variation	NOUN
m-832	130	28	of	of	ADP
m-832	130	29	u	u	NOUN
m-832	130	30	with	with	ADP
m-832	130	31	β	β	X
m-832	130	32	fig	fig	NOUN
m-832	130	33	(	(	PUNCT
m-832	130	34	4	4	NUM
m-832	130	35	)	)	PUNCT
m-832	130	36	variation	variation	NOUN
m-832	130	37	of	of	ADP
m-832	130	38	u	u	NOUN
m-832	130	39	with	with	ADP
m-832	130	40	r	r	NOUN
m-832	130	41	&	&	CCONJ
m-832	130	42	γ	γ	X
m-832	130	43	g=2x103	g=2x103	PROPN
m-832	130	44	,	,	PUNCT
m-832	130	45	r=35	r=35	ADJ
m-832	130	46	,	,	PUNCT
m-832	130	47	m=2,γ=2	m=2,γ=2	NOUN
m-832	130	48	,	,	PUNCT
m-832	130	49	x	x	NOUN
m-832	130	50	=	=	NOUN
m-832	130	51	π/4	π/4	PROPN
m-832	130	52	,	,	PUNCT
m-832	130	53	n1=4	n1=4	PROPN
m-832	130	54	,	,	PUNCT
m-832	130	55	t	t	PROPN
m-832	130	56	=	=	SYM
m-832	130	57	π/4	π/4	PUNCT
m-832	130	58	g=2x103	g=2x103	NOUN
m-832	130	59	,	,	PUNCT
m-832	130	60	m=2	m=2	PROPN
m-832	130	61	,	,	PUNCT
m-832	130	62	β=0.5	β=0.5	NOUN
m-832	130	63	,	,	PUNCT
m-832	130	64	x	x	NOUN
m-832	130	65	=	=	NOUN
m-832	130	66	π/4	π/4	PROPN
m-832	130	67	,	,	PUNCT
m-832	130	68	n1=4	n1=4	PROPN
m-832	130	69	,	,	PUNCT
m-832	130	70	t	t	PROPN
m-832	130	71	=	=	SYM
m-832	130	72	π/4	π/4	NOUN
m-832	130	73	fig	fig	NOUN
m-832	130	74	(	(	PUNCT
m-832	130	75	5	5	NUM
m-832	130	76	)	)	PUNCT
m-832	130	77	variation	variation	NOUN
m-832	130	78	of	of	ADP
m-832	130	79	u	u	NOUN
m-832	130	80	with	with	ADP
m-832	130	81	n1	n1	PROPN
m-832	130	82	fig	fig	NOUN
m-832	130	83	(	(	PUNCT
m-832	130	84	6	6	NUM
m-832	130	85	)	)	PUNCT
m-832	130	86	variation	variation	NOUN
m-832	130	87	of	of	ADP
m-832	130	88	u	u	NOUN
m-832	130	89	with	with	ADP
m-832	130	90	x+	x+	PROPN
m-832	130	91	γ	γ	PROPN
m-832	130	92	t	t	PROPN
m-832	130	93	g=2x103	g=2x103	PROPN
m-832	130	94	,	,	PUNCT
m-832	130	95	r=35	r=35	ADJ
m-832	130	96	,	,	PUNCT
m-832	130	97	m=2	m=2	PROPN
m-832	130	98	,	,	PUNCT
m-832	130	99	β=0.5	β=0.5	NOUN
m-832	130	100	,	,	PUNCT
m-832	130	101	γ=2	γ=2	NOUN
m-832	130	102	,	,	PUNCT
m-832	130	103	x	x	NOUN
m-832	130	104	=	=	NOUN
m-832	130	105	π/4	π/4	NUM
m-832	130	106	,	,	PUNCT
m-832	130	107	t	t	NOUN
m-832	130	108	=	=	SYM
m-832	130	109	π/4	π/4	PUNCT
m-832	130	110	g=2x103	g=2x103	NOUN
m-832	130	111	,	,	PUNCT
m-832	130	112	r=35	r=35	ADJ
m-832	130	113	,	,	PUNCT
m-832	130	114	m=2	m=2	PROPN
m-832	130	115	,	,	PUNCT
m-832	130	116	β=0.5	β=0.5	NOUN
m-832	130	117	,	,	PUNCT
m-832	130	118	γ=5	γ=5	PROPN
m-832	130	119	,	,	PUNCT
m-832	130	120	n1=4	n1=4	PROPN
m-832	130	121	,	,	PUNCT
m-832	130	122	t	t	PROPN
m-832	130	123	=	=	SYM
m-832	130	124	π/4	π/4	NOUN
m-832	130	125	fig	fig	NOUN
m-832	130	126	.	.	PUNCT
m-832	131	1	(	(	PUNCT
m-832	131	2	1	1	X
m-832	131	3	)	)	PUNCT
m-832	131	4	exhibits	exhibit	VERB
m-832	131	5	the	the	DET
m-832	131	6	variation	variation	NOUN
m-832	131	7	of	of	ADP
m-832	131	8	u	u	NOUN
m-832	131	9	with	with	ADP
m-832	131	10	grashof	grashof	ADJ
m-832	131	11	number	number	NOUN
m-832	131	12	g.	g.	NOUN
m-832	131	13	it	it	PRON
m-832	131	14	is	be	AUX
m-832	131	15	found	find	VERB
m-832	131	16	that	that	SCONJ
m-832	131	17	the	the	DET
m-832	131	18	axial	axial	ADJ
m-832	131	19	velocity	velocity	NOUN
m-832	131	20	u	u	NOUN
m-832	131	21	is	be	AUX
m-832	131	22	completely	completely	ADV
m-832	131	23	negative	negative	ADJ
m-832	131	24	for	for	ADP
m-832	131	25	all	all	DET
m-832	131	26	values	value	NOUN
m-832	131	27	of	of	ADP
m-832	131	28	g	g	NOUN
m-832	131	29	with	with	ADP
m-832	131	30	maximum	maximum	ADJ
m-832	131	31	occurring	occurring	NOUN
m-832	131	32	at	at	ADP
m-832	131	33	the	the	DET
m-832	131	34	mid	mid	ADJ
m-832	131	35	plane	plane	NOUN
m-832	131	36	y=0	y=0	NOUN
m-832	131	37	which	which	PRON
m-832	131	38	drifts	drift	VERB
m-832	131	39	towards	towards	ADP
m-832	131	40	the	the	DET
m-832	131	41	upper	upper	ADJ
m-832	131	42	plate	plate	NOUN
m-832	131	43	for	for	ADP
m-832	131	44	higher	high	ADJ
m-832	131	45	g(>0	g(>0	NOUN
m-832	131	46	)	)	PUNCT
m-832	131	47	and	and	CCONJ
m-832	131	48	it	it	PRON
m-832	131	49	drifts	drift	VERB
m-832	131	50	towards	towards	ADP
m-832	131	51	the	the	DET
m-832	131	52	lower	low	ADJ
m-832	131	53	boundary	boundary	NOUN
m-832	131	54	for	for	ADP
m-832	131	55	|g|(<0	|g|(<0	NOUN
m-832	131	56	)	)	PUNCT
m-832	131	57	.	.	PUNCT
m-832	132	1	the	the	DET
m-832	132	2	magnitude	magnitude	NOUN
m-832	132	3	of	of	ADP
m-832	132	4	‘	'	PUNCT
m-832	132	5	u	u	NOUN
m-832	132	6	’	'	PUNCT
m-832	132	7	reduces	reduce	VERB
m-832	132	8	in	in	ADP
m-832	132	9	the	the	DET
m-832	132	10	lower	low	ADJ
m-832	132	11	half	half	NOUN
m-832	132	12	and	and	CCONJ
m-832	132	13	enhances	enhance	VERB
m-832	132	14	in	in	ADP
m-832	132	15	the	the	DET
m-832	132	16	upper	upper	ADJ
m-832	132	17	half	half	NOUN
m-832	132	18	with	with	ADP
m-832	132	19	an	an	DET
m-832	132	20	increase	increase	NOUN
m-832	132	21	in	in	ADP
m-832	132	22	g	g	NOUN
m-832	132	23	,	,	PUNCT
m-832	132	24	while	while	SCONJ
m-832	132	25	a	a	DET
m-832	132	26	reversed	reversed	ADJ
m-832	132	27	effect	effect	NOUN
m-832	132	28	is	be	AUX
m-832	132	29	observed	observe	VERB
m-832	132	30	with	with	ADP
m-832	132	31	increase	increase	NOUN
m-832	132	32	in	in	ADP
m-832	132	33	|g|(<0	|g|(<0	NOUN
m-832	132	34	)	)	PUNCT
m-832	132	35	.	.	PUNCT
m-832	133	1	the	the	DET
m-832	133	2	variation	variation	NOUN
m-832	133	3	of	of	ADP
m-832	133	4	‘	'	PUNCT
m-832	133	5	u	u	NOUN
m-832	133	6	’	'	PUNCT
m-832	133	7	with	with	ADP
m-832	133	8	m	m	PROPN
m-832	133	9	shows	show	VERB
m-832	133	10	that	that	SCONJ
m-832	133	11	for	for	ADP
m-832	133	12	lower	low	ADJ
m-832	133	13	values	value	NOUN
m-832	133	14	of	of	ADP
m-832	133	15	the	the	DET
m-832	133	16	hartman	hartman	PROPN
m-832	133	17	number	number	NOUN
m-832	133	18	m	m	VERB
m-832	133	19	we	we	PRON
m-832	133	20	find	find	VERB
m-832	133	21	reversed	reversed	ADJ
m-832	133	22	flow	flow	NOUN
m-832	133	23	in	in	ADP
m-832	133	24	the	the	DET
m-832	133	25	vicinity	vicinity	NOUN
m-832	133	26	of	of	ADP
m-832	133	27	both	both	CCONJ
m-832	133	28	the	the	DET
m-832	133	29	boundaries	boundary	NOUN
m-832	133	30	and	and	CCONJ
m-832	133	31	for	for	ADP
m-832	133	32	higher	high	ADJ
m-832	133	33	m	m	NOUN
m-832	133	34	~	~	NOUN
m-832	133	35	o(1.5	o(1.5	NOUN
m-832	133	36	)	)	PUNCT
m-832	133	37	the	the	DET
m-832	133	38	reversed	reverse	VERB
m-832	133	39	flow	flow	NOUN
m-832	133	40	in	in	ADP
m-832	133	41	the	the	DET
m-832	133	42	vicinity	vicinity	NOUN
m-832	133	43	of	of	ADP
m-832	133	44	upper	upper	ADJ
m-832	133	45	boundary	boundary	NOUN
m-832	133	46	disappears	disappear	VERB
m-832	133	47	and	and	CCONJ
m-832	133	48	reversal	reversal	NOUN
m-832	133	49	flow	flow	NOUN
m-832	133	50	continues	continue	VERB
m-832	133	51	in	in	ADP
m-832	133	52	the	the	DET
m-832	133	53	vicinity	vicinity	NOUN
m-832	133	54	of	of	ADP
m-832	133	55	lower	low	ADJ
m-832	133	56	boundary	boundary	ADJ
m-832	133	57	and	and	CCONJ
m-832	133	58	for	for	ADP
m-832	133	59	still	still	ADV
m-832	133	60	higher	high	ADJ
m-832	133	61	values	value	NOUN
m-832	133	62	of	of	ADP
m-832	133	63	m≤3	m≤3	PROPN
m-832	133	64	the	the	DET
m-832	133	65	reversal	reversal	NOUN
m-832	133	66	flow	flow	NOUN
m-832	133	67	disappears	disappear	VERB
m-832	133	68	in	in	ADP
m-832	133	69	the	the	DET
m-832	133	70	entire	entire	ADJ
m-832	133	71	flow	flow	NOUN
m-832	133	72	region	region	NOUN
m-832	133	73	.	.	PUNCT
m-832	134	1	for	for	ADP
m-832	134	2	m=5.0	m=5.0	NOUN
m-832	134	3	the	the	DET
m-832	134	4	reversal	reversal	NOUN
m-832	134	5	flow	flow	NOUN
m-832	134	6	reappears	reappear	VERB
m-832	134	7	in	in	ADP
m-832	134	8	the	the	DET
m-832	134	9	vicinity	vicinity	NOUN
m-832	134	10	of	of	ADP
m-832	134	11	upper	upper	ADJ
m-832	134	12	boundary	boundary	NOUN
m-832	134	13	.	.	PUNCT
m-832	135	1	this	this	PRON
m-832	135	2	shows	show	VERB
m-832	135	3	that	that	SCONJ
m-832	135	4	under	under	ADP
m-832	135	5	the	the	DET
m-832	135	6	influence	influence	NOUN
m-832	135	7	of	of	ADP
m-832	135	8	strong	strong	ADJ
m-832	135	9	magnetic	magnetic	ADJ
m-832	135	10	field	field	NOUN
m-832	135	11	the	the	DET
m-832	135	12	free	free	ADJ
m-832	135	13	convection	convection	NOUN
m-832	135	14	effect	effect	NOUN
m-832	135	15	do	do	AUX
m-832	135	16	not	not	PART
m-832	135	17	dominate	dominate	VERB
m-832	135	18	over	over	ADP
m-832	135	19	others	other	NOUN
m-832	135	20	.	.	PUNCT
m-832	136	1	an	an	DET
m-832	136	2	increase	increase	NOUN
m-832	136	3	in	in	ADP
m-832	136	4	m	m	NOUN
m-832	136	5	~	~	NOUN
m-832	136	6	o(1.5	o(1.5	NOUN
m-832	136	7	)	)	PUNCT
m-832	136	8	enhances	enhance	VERB
m-832	136	9	‘	'	PUNCT
m-832	136	10	u	u	NOUN
m-832	136	11	’	'	PUNCT
m-832	136	12	in	in	ADP
m-832	136	13	entire	entire	ADJ
m-832	136	14	fluid	fluid	ADJ
m-832	136	15	region	region	NOUN
m-832	136	16	and	and	CCONJ
m-832	136	17	for	for	ADP
m-832	136	18	further	further	ADJ
m-832	136	19	increase	increase	NOUN
m-832	136	20	in	in	ADP
m-832	136	21	m(≥2.5	m(≥2.5	PROPN
m-832	136	22	)	)	PUNCT
m-832	136	23	we	we	PRON
m-832	136	24	find	find	VERB
m-832	136	25	depreciation	depreciation	NOUN
m-832	136	26	in	in	ADP
m-832	136	27	|u|	|u|	PROPN
m-832	136	28	in	in	ADP
m-832	136	29	the	the	DET
m-832	136	30	flow	flow	NOUN
m-832	136	31	region	region	NOUN
m-832	136	32	.	.	PUNCT
m-832	137	1	from	from	ADP
m-832	137	2	fig	fig	NOUN
m-832	137	3	.	.	PUNCT
m-832	138	1	(	(	PUNCT
m-832	138	2	3	3	X
m-832	138	3	)	)	PUNCT
m-832	138	4	we	we	PRON
m-832	138	5	find	find	VERB
m-832	138	6	that	that	SCONJ
m-832	138	7	greater	great	ADJ
m-832	138	8	the	the	DET
m-832	138	9	dilation	dilation	NOUN
m-832	138	10	lesser	less	ADJ
m-832	138	11	the	the	PRON
m-832	138	12	-1	-1	ADJ
m-832	138	13	.0	.0	NUM
m-832	139	1	-0	-0	X
m-832	140	1	.5	.5	NUM
m-832	140	2	0	0	NUM
m-832	141	1	.0	.0	NUM
m-832	141	2	0	0	NUM
m-832	142	1	.5	.5	NUM
m-832	142	2	1	1	NUM
m-832	142	3	.0	.0	NUM
m-832	142	4	-0	-0	X
m-832	142	5	.3	.3	NUM
m-832	142	6	5	5	NUM
m-832	142	7	-0	-0	SYM
m-832	142	8	.3	.3	NUM
m-832	142	9	0	0	NUM
m-832	143	1	-0	-0	X
m-832	143	2	.2	.2	NUM
m-832	143	3	5	5	NUM
m-832	143	4	-0	-0	SYM
m-832	143	5	.2	.2	NUM
m-832	143	6	0	0	NUM
m-832	144	1	-0	-0	SYM
m-832	144	2	.1	.1	NUM
m-832	144	3	5	5	NUM
m-832	144	4	-0	-0	SYM
m-832	144	5	.1	.1	NUM
m-832	144	6	0	0	NUM
m-832	145	1	-0	-0	SYM
m-832	145	2	.0	.0	NUM
m-832	145	3	5	5	NUM
m-832	145	4	0	0	NUM
m-832	146	1	.0	.0	NUM
m-832	146	2	0	0	PUNCT
m-832	147	1	r	r	NOUN
m-832	147	2	=	=	SYM
m-832	147	3	3	3	NUM
m-832	147	4	5	5	NUM
m-832	147	5	,	,	PUNCT
m-832	147	6			PROPN
m-832	147	7			NOUN
m-832	147	8	r	r	NOUN
m-832	147	9	=	=	SYM
m-832	147	10	7	7	NUM
m-832	147	11	0	0	NUM
m-832	147	12	r	r	NOUN
m-832	147	13	=	=	SYM
m-832	147	14	1	1	NUM
m-832	148	1	4	4	NUM
m-832	148	2	0	0	NUM
m-832	148	3			NUM
m-832	148	4			ADJ
m-832	148	5			PROPN
m-832	148	6			NUM
m-832	148	7			PROPN
m-832	148	8			VERB
m-832	148	9			NUM
m-832	148	10			ADJ
m-832	148	11	u	u	PROPN
m-832	148	12			NUM
m-832	148	13	-1	-1	ADP
m-832	148	14	.0	.0	NUM
m-832	149	1	-0	-0	X
m-832	150	1	.5	.5	NUM
m-832	150	2	0	0	NUM
m-832	151	1	.0	.0	NUM
m-832	151	2	0	0	NUM
m-832	152	1	.5	.5	NUM
m-832	152	2	1	1	NUM
m-832	152	3	.0	.0	NUM
m-832	152	4	-0	-0	INTJ
m-832	153	1	.4	.4	NUM
m-832	153	2	0	0	NUM
m-832	153	3	-0	-0	SYM
m-832	153	4	.3	.3	NUM
m-832	153	5	5	5	NUM
m-832	153	6	-0	-0	SYM
m-832	153	7	.3	.3	NUM
m-832	153	8	0	0	NUM
m-832	153	9	-0	-0	X
m-832	153	10	.2	.2	NUM
m-832	153	11	5	5	NUM
m-832	153	12	-0	-0	SYM
m-832	153	13	.2	.2	NUM
m-832	153	14	0	0	NUM
m-832	154	1	-0	-0	SYM
m-832	154	2	.1	.1	NUM
m-832	154	3	5	5	NUM
m-832	154	4	-0	-0	SYM
m-832	154	5	.1	.1	NUM
m-832	154	6	0	0	NUM
m-832	155	1	-0	-0	SYM
m-832	155	2	.0	.0	NUM
m-832	155	3	5	5	NUM
m-832	155	4	0	0	NUM
m-832	155	5	.0	.0	NUM
m-832	155	6	0	0	NUM
m-832	156	1	x	x	SYM
m-832	157	1	+	+	NUM
m-832	157	2			NUM
m-832	157	3	t=	t=	NUM
m-832	157	4			ADJ
m-832	157	5			NOUN
m-832	157	6	x	x	X
m-832	157	7	+	+	NUM
m-832	157	8			NUM
m-832	157	9	t=	t=	NOUN
m-832	157	10			ADJ
m-832	157	11			NOUN
m-832	157	12	x	x	PUNCT
m-832	157	13	+	+	NUM
m-832	157	14			NUM
m-832	157	15	t=	t=	NUM
m-832	157	16	3	3	NUM
m-832	157	17			NOUN
m-832	157	18			NOUN
m-832	157	19	u	u	NOUN
m-832	157	20			NUM
m-832	157	21	-1.0	-1.0	PROPN
m-832	157	22	-0.5	-0.5	PROPN
m-832	157	23	0.0	0.0	NUM
m-832	157	24	0.5	0.5	NUM
m-832	157	25	1.0	1.0	NUM
m-832	157	26	-0.35	-0.35	NUM
m-832	157	27	-0.30	-0.30	NUM
m-832	157	28	-0.25	-0.25	NUM
m-832	157	29	-0.20	-0.20	NUM
m-832	157	30	-0.15	-0.15	NUM
m-832	157	31	-0.10	-0.10	NUM
m-832	157	32	-0.05	-0.05	NUM
m-832	157	33	0.00	0.00	NUM
m-832	157	34	n	n	NOUN
m-832	157	35	1	1	NUM
m-832	157	36	=	=	SYM
m-832	157	37	1	1	NUM
m-832	157	38	n	n	NUM
m-832	157	39	1	1	NUM
m-832	157	40	=	=	SYM
m-832	157	41	5	5	NUM
m-832	157	42	n	n	NOUN
m-832	157	43	1	1	NUM
m-832	157	44	=	=	SYM
m-832	157	45	10	10	NUM
m-832	157	46	n	n	NOUN
m-832	157	47	1	1	NUM
m-832	157	48	=	=	SYM
m-832	157	49	100	100	NUM
m-832	157	50	u	u	NOUN
m-832	157	51			NUM
m-832	157	52	ijo	ijo	PROPN
m-832	157	53	journals	journal	NOUN
m-832	157	54	volume	volume	NOUN
m-832	157	55	07	07	NUM
m-832	157	56	|	|	ADV
m-832	157	57	issue	issue	NOUN
m-832	157	58	04	04	NUM
m-832	158	1	|	|	CCONJ
m-832	158	2	april	april	PROPN
m-832	158	3	2024	2024	NUM
m-832	159	1	|	|	ADV
m-832	159	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	159	3	7	7	NUM
m-832	159	4	ijo	ijo	PROPN
m-832	159	5	international	international	ADJ
m-832	159	6	journal	journal	PROPN
m-832	159	7	of	of	ADP
m-832	159	8	mathematics	mathematics	PROPN
m-832	159	9	(	(	PUNCT
m-832	159	10	issn	issn	PROPN
m-832	159	11	:	:	PUNCT
m-832	159	12	2992	2992	NUM
m-832	159	13	-	-	SYM
m-832	159	14	4421	4421	NUM
m-832	159	15	)	)	PUNCT
m-832	160	1	prakasha.p1	prakasha.p1	PROPN
m-832	160	2	*	*	PUNCT
m-832	160	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	160	4	volume	volume	NOUN
m-832	160	5	07	07	NUM
m-832	160	6	issue	issue	NOUN
m-832	160	7	04	04	NUM
m-832	160	8	||	||	NOUN
m-832	160	9	april	april	PROPN
m-832	160	10	,	,	PUNCT
m-832	160	11	2024	2024	NUM
m-832	160	12	||	||	NOUN
m-832	160	13	mathematical	mathematical	ADJ
m-832	160	14	analysis	analysis	NOUN
m-832	160	15	of	of	ADP
m-832	160	16	effect	effect	NOUN
m-832	160	17	of	of	ADP
m-832	160	18	viscous	viscous	ADJ
m-832	160	19	dissipation	dissipation	NOUN
m-832	160	20	on	on	ADP
m-832	160	21	transient	transient	ADJ
m-832	160	22	mhd	mhd	PROPN
m-832	160	23	convective	convective	ADJ
m-832	160	24	heat	heat	NOUN
m-832	160	25	transfer	transfer	NOUN
m-832	160	26	through	through	ADP
m-832	160	27	a	a	DET
m-832	160	28	porous	porous	ADJ
m-832	160	29	medium	medium	NOUN
m-832	160	30	in	in	ADP
m-832	160	31	a	a	DET
m-832	160	32	vertical	vertical	ADJ
m-832	160	33	channel	channel	NOUN
m-832	160	34	magnitude	magnitude	NOUN
m-832	160	35	of	of	ADP
m-832	160	36	u.	u.	PROPN
m-832	160	37	an	an	DET
m-832	160	38	increase	increase	NOUN
m-832	160	39	in	in	ADP
m-832	160	40	the	the	DET
m-832	160	41	reynolds	reynold	NOUN
m-832	160	42	number	number	NOUN
m-832	160	43	r	r	NOUN
m-832	160	44	leads	lead	VERB
m-832	160	45	to	to	ADP
m-832	160	46	an	an	DET
m-832	160	47	enhancement	enhancement	NOUN
m-832	160	48	|u|	|u|	NUM
m-832	160	49	in	in	ADP
m-832	160	50	the	the	DET
m-832	160	51	lower	low	ADJ
m-832	160	52	half	half	NOUN
m-832	160	53	and	and	CCONJ
m-832	160	54	depreciation	depreciation	NOUN
m-832	160	55	in	in	ADP
m-832	160	56	the	the	DET
m-832	160	57	upper	upper	ADJ
m-832	160	58	half	half	NOUN
m-832	160	59	.	.	PUNCT
m-832	161	1	also	also	ADV
m-832	161	2	an	an	DET
m-832	161	3	increase	increase	NOUN
m-832	161	4	in	in	ADP
m-832	161	5	the	the	DET
m-832	161	6	thermal	thermal	ADJ
m-832	161	7	wave	wave	NOUN
m-832	161	8	velocity	velocity	NOUN
m-832	161	9	γ(≤10	γ(≤10	ADJ
m-832	161	10	)	)	PUNCT
m-832	161	11	depreciates	depreciate	VERB
m-832	161	12	|u|	|u|	ADV
m-832	161	13	in	in	ADP
m-832	161	14	the	the	DET
m-832	161	15	lower	low	ADJ
m-832	161	16	half	half	NOUN
m-832	161	17	and	and	CCONJ
m-832	161	18	enhances	enhance	VERB
m-832	161	19	in	in	ADP
m-832	161	20	the	the	DET
m-832	161	21	upper	upper	ADJ
m-832	161	22	half	half	NOUN
m-832	161	23	and	and	CCONJ
m-832	161	24	for	for	ADP
m-832	161	25	higher	high	ADJ
m-832	161	26	γ(≥15	γ(≥15	NOUN
m-832	161	27	)	)	PUNCT
m-832	161	28	a	a	DET
m-832	161	29	reversed	reverse	VERB
m-832	161	30	effect	effect	NOUN
m-832	161	31	is	be	AUX
m-832	161	32	observed	observe	VERB
m-832	161	33	in	in	ADP
m-832	161	34	the	the	DET
m-832	161	35	flow	flow	NOUN
m-832	161	36	region	region	NOUN
m-832	161	37	(	(	PUNCT
m-832	161	38	fig	fig	NOUN
m-832	161	39	.	.	PUNCT
m-832	162	1	(	(	PUNCT
m-832	162	2	4	4	NUM
m-832	162	3	)	)	PUNCT
m-832	162	4	)	)	PUNCT
m-832	162	5	.	.	PUNCT
m-832	163	1	the	the	DET
m-832	163	2	variation	variation	NOUN
m-832	163	3	of	of	ADP
m-832	163	4	‘	'	PUNCT
m-832	163	5	u	u	NOUN
m-832	163	6	’	'	PUNCT
m-832	163	7	with	with	ADP
m-832	163	8	radiation	radiation	NOUN
m-832	163	9	parameter	parameter	NOUN
m-832	163	10	n1	n1	PROPN
m-832	163	11	shows	show	VERB
m-832	163	12	a	a	DET
m-832	163	13	reversal	reversal	NOUN
m-832	163	14	flow	flow	NOUN
m-832	163	15	in	in	ADP
m-832	163	16	the	the	DET
m-832	163	17	mid	mid	ADJ
m-832	163	18	region	region	NOUN
m-832	163	19	for	for	ADP
m-832	163	20	smaller	small	ADJ
m-832	163	21	values	value	NOUN
m-832	163	22	of	of	ADP
m-832	163	23	n1	n1	NOUN
m-832	163	24	and	and	CCONJ
m-832	163	25	this	this	DET
m-832	163	26	reversal	reversal	NOUN
m-832	163	27	flow	flow	NOUN
m-832	163	28	disappears	disappear	VERB
m-832	163	29	for	for	ADP
m-832	163	30	higher	high	ADJ
m-832	163	31	values	value	NOUN
m-832	163	32	of	of	ADP
m-832	163	33	n1	n1	NOUN
m-832	163	34	.	.	PUNCT
m-832	164	1	|u|	|u|	PROPN
m-832	164	2	reduces	reduce	VERB
m-832	164	3	in	in	ADP
m-832	164	4	the	the	DET
m-832	164	5	lower	low	ADJ
m-832	164	6	half	half	NOUN
m-832	164	7	and	and	CCONJ
m-832	164	8	enhances	enhance	VERB
m-832	164	9	in	in	ADP
m-832	164	10	the	the	DET
m-832	164	11	upper	upper	ADJ
m-832	164	12	half	half	NOUN
m-832	164	13	with	with	ADP
m-832	164	14	n1(≤1.0	n1(≤1.0	PROPN
m-832	164	15	)	)	PUNCT
m-832	164	16	and	and	CCONJ
m-832	164	17	for	for	ADP
m-832	164	18	higher	high	ADJ
m-832	164	19	n1(≥5	n1(≥5	NOUN
m-832	164	20	)	)	PUNCT
m-832	164	21	we	we	PRON
m-832	164	22	notice	notice	VERB
m-832	164	23	a	a	DET
m-832	164	24	depreciation	depreciation	NOUN
m-832	164	25	in	in	ADP
m-832	164	26	|u|	|u|	PROPN
m-832	164	27	in	in	ADP
m-832	164	28	the	the	DET
m-832	164	29	region	region	NOUN
m-832	164	30	abutting	abut	VERB
m-832	164	31	the	the	DET
m-832	164	32	boundaries	boundary	NOUN
m-832	164	33	and	and	CCONJ
m-832	164	34	an	an	DET
m-832	164	35	enhancement	enhancement	NOUN
m-832	164	36	in	in	ADP
m-832	164	37	the	the	DET
m-832	164	38	mid	mid	ADJ
m-832	164	39	region	region	NOUN
m-832	164	40	(	(	PUNCT
m-832	164	41	fig.(5	fig.(5	PROPN
m-832	164	42	)	)	PUNCT
m-832	164	43	)	)	PUNCT
m-832	164	44	.	.	PUNCT
m-832	165	1	the	the	DET
m-832	165	2	variation	variation	NOUN
m-832	165	3	of	of	ADP
m-832	165	4	u	u	NOUN
m-832	165	5	with	with	ADP
m-832	165	6	the	the	DET
m-832	165	7	phase	phase	NOUN
m-832	165	8	x+γt	x+γt	NOUN
m-832	165	9	of	of	ADP
m-832	165	10	the	the	DET
m-832	165	11	boundary	boundary	ADJ
m-832	165	12	temperature	temperature	NOUN
m-832	165	13	curve	curve	NOUN
m-832	165	14	,	,	PUNCT
m-832	165	15	shows	show	VERB
m-832	165	16	that	that	SCONJ
m-832	165	17	|u|	|u|	PROPN
m-832	165	18	enhances	enhance	VERB
m-832	165	19	with	with	ADP
m-832	165	20	4	4	NUM
m-832	165	21	7	7	NUM
m-832	165	22	x	x	SYM
m-832	165	23			PROPN
m-832	165	24			NUM
m-832	165	25			PROPN
m-832	165	26	t	t	PROPN
m-832	165	27	and	and	CCONJ
m-832	165	28	for	for	ADP
m-832	165	29	higher	high	ADJ
m-832	165	30	values	value	NOUN
m-832	165	31	of	of	ADP
m-832	165	32	x+γt	x+γt	NOUN
m-832	165	33	we	we	PRON
m-832	165	34	notice	notice	VERB
m-832	165	35	an	an	DET
m-832	165	36	enhancement	enhancement	NOUN
m-832	165	37	in	in	ADP
m-832	165	38	the	the	DET
m-832	165	39	vicinity	vicinity	NOUN
m-832	165	40	of	of	ADP
m-832	165	41	the	the	DET
m-832	165	42	boundary	boundary	ADJ
m-832	165	43	and	and	CCONJ
m-832	165	44	depreciation	depreciation	NOUN
m-832	165	45	in	in	ADP
m-832	165	46	the	the	DET
m-832	165	47	mid	mid	ADJ
m-832	165	48	region	region	NOUN
m-832	165	49	.	.	PUNCT
m-832	166	1	(	(	PUNCT
m-832	166	2	fig.6	fig.6	PROPN
m-832	166	3	)	)	PUNCT
m-832	166	4	fig	fig	NOUN
m-832	166	5	(	(	PUNCT
m-832	166	6	7	7	NUM
m-832	166	7	)	)	PUNCT
m-832	166	8	variation	variation	NOUN
m-832	166	9	of	of	ADP
m-832	166	10	v	v	NOUN
m-832	166	11	with	with	ADP
m-832	166	12	g	g	PROPN
m-832	166	13	fig	fig	NOUN
m-832	166	14	(	(	PUNCT
m-832	166	15	8)	8)	NUM
m-832	166	16	variation	variation	NOUN
m-832	166	17	of	of	ADP
m-832	166	18	v	v	NOUN
m-832	166	19	with	with	ADP
m-832	166	20	m	m	PROPN
m-832	166	21	r=35	r=35	ADJ
m-832	166	22	,	,	PUNCT
m-832	166	23	m=2	m=2	X
m-832	166	24	,	,	PUNCT
m-832	166	25	β=0.5	β=0.5	NOUN
m-832	166	26	,	,	PUNCT
m-832	166	27	γ=2	γ=2	NOUN
m-832	166	28	,	,	PUNCT
m-832	166	29	x	x	NOUN
m-832	166	30	=	=	NOUN
m-832	166	31	π/4	π/4	PROPN
m-832	166	32	,	,	PUNCT
m-832	166	33	n1=4	n1=4	PROPN
m-832	166	34	,	,	PUNCT
m-832	166	35	t	t	PROPN
m-832	166	36	=	=	SYM
m-832	166	37	π/4	π/4	PUNCT
m-832	166	38	g=2x103	g=2x103	NOUN
m-832	166	39	,	,	PUNCT
m-832	166	40	r=35	r=35	ADJ
m-832	166	41	,	,	PUNCT
m-832	166	42	β=0.5	β=0.5	NOUN
m-832	166	43	,	,	PUNCT
m-832	166	44	γ=2	γ=2	NOUN
m-832	166	45	,	,	PUNCT
m-832	166	46	x	x	NOUN
m-832	166	47	=	=	NOUN
m-832	166	48	π/4	π/4	PROPN
m-832	166	49	,	,	PUNCT
m-832	166	50	n1=4	n1=4	PROPN
m-832	166	51	,	,	PUNCT
m-832	166	52	t	t	PROPN
m-832	166	53	=	=	PROPN
m-832	166	54	π/4	π/4	PUNCT
m-832	166	55	-1.0	-1.0	PROPN
m-832	166	56	-0.5	-0.5	PROPN
m-832	166	57	0.0	0.0	NUM
m-832	166	58	0.5	0.5	NUM
m-832	166	59	1.0	1.0	NUM
m-832	166	60	-0.35	-0.35	NUM
m-832	166	61	-0.30	-0.30	NUM
m-832	166	62	-0.25	-0.25	NUM
m-832	166	63	-0.20	-0.20	NUM
m-832	166	64	-0.15	-0.15	NUM
m-832	166	65	-0.10	-0.10	NUM
m-832	166	66	-0.05	-0.05	NUM
m-832	166	67	0.00	0.00	NUM
m-832	166	68	0.05	0.05	NUM
m-832	166	69	0.10	0.10	NUM
m-832	166	70	0.15	0.15	NUM
m-832	166	71	0.20	0.20	NUM
m-832	166	72	0.25	0.25	NUM
m-832	166	73	0.30	0.30	NUM
m-832	166	74	0.35	0.35	NUM
m-832	166	75	0.40	0.40	NUM
m-832	166	76	0.45	0.45	NUM
m-832	166	77	0.50	0.50	NUM
m-832	166	78	g=10	g=10	PUNCT
m-832	166	79	3	3	NUM
m-832	166	80	g=3x10	g=3x10	NOUN
m-832	166	81	3	3	NUM
m-832	166	82	g=5x10	g=5x10	NOUN
m-832	166	83	3	3	NUM
m-832	166	84	g=-10	g=-10	PROPN
m-832	166	85	3	3	NUM
m-832	166	86	g=-3x10	g=-3x10	NOUN
m-832	166	87	3	3	NUM
m-832	166	88	g=-5x10	g=-5x10	PROPN
m-832	166	89	3	3	NUM
m-832	166	90	v	v	NOUN
m-832	166	91			NUM
m-832	166	92	-1.0	-1.0	PROPN
m-832	166	93	-0.5	-0.5	PROPN
m-832	166	94	0.0	0.0	NUM
m-832	166	95	0.5	0.5	NUM
m-832	166	96	1.0	1.0	NUM
m-832	166	97	-0	-0	SYM
m-832	166	98	.20	.20	NUM
m-832	166	99	-0	-0	SYM
m-832	166	100	.15	.15	NUM
m-832	166	101	-0	-0	X
m-832	166	102	.10	.10	NUM
m-832	166	103	-0	-0	SYM
m-832	166	104	.05	.05	NUM
m-832	166	105	0.00	0.00	NUM
m-832	166	106	0.05	0.05	NUM
m-832	166	107	0.10	0.10	NUM
m-832	166	108	0.15	0.15	NUM
m-832	166	109	0.20	0.20	NUM
m-832	166	110	0.25	0.25	NUM
m-832	166	111	r	r	NOUN
m-832	166	112	=	=	NOUN
m-832	166	113	35	35	NUM
m-832	166	114	,	,	PUNCT
m-832	166	115			VERB
m-832	166	116	r	r	NOUN
m-832	166	117	=	=	SYM
m-832	166	118	70	70	NUM
m-832	166	119	r	r	NOUN
m-832	166	120	=	=	SYM
m-832	166	121	140	140	NUM
m-832	166	122			NUM
m-832	166	123			PROPN
m-832	166	124			NUM
m-832	166	125	v	v	ADP
m-832	166	126			NUM
m-832	166	127	-1.0	-1.0	PROPN
m-832	166	128	-0.5	-0.5	PROPN
m-832	166	129	0.0	0.0	NUM
m-832	166	130	0.5	0.5	NUM
m-832	166	131	1.0	1.0	NUM
m-832	166	132	-0.7	-0.7	PROPN
m-832	166	133	-0.6	-0.6	X
m-832	166	134	-0.5	-0.5	PROPN
m-832	166	135	-0.4	-0.4	PROPN
m-832	166	136	-0.3	-0.3	PROPN
m-832	166	137	-0.2	-0.2	PROPN
m-832	166	138	-0.1	-0.1	PROPN
m-832	166	139	0.0	0.0	NUM
m-832	166	140	0.1	0.1	NUM
m-832	166	141	0.2	0.2	NUM
m-832	166	142	m=2	m=2	PROPN
m-832	166	143	m=5	m=5	PROPN
m-832	167	1	m=10	m=10	NOUN
m-832	167	2	v	v	ADP
m-832	167	3			NUM
m-832	167	4	-1	-1	ADP
m-832	167	5	.0	.0	NUM
m-832	168	1	-0	-0	INTJ
m-832	169	1	.5	.5	NUM
m-832	169	2	0	0	NUM
m-832	170	1	.0	.0	NUM
m-832	170	2	0	0	NUM
m-832	171	1	.5	.5	NUM
m-832	171	2	1	1	NUM
m-832	171	3	.0	.0	NUM
m-832	171	4	-0	-0	INTJ
m-832	172	1	.6	.6	NUM
m-832	172	2	-0	-0	INTJ
m-832	172	3	.4	.4	NUM
m-832	173	1	-0	-0	PUNCT
m-832	174	1	.2	.2	NUM
m-832	174	2	0	0	NUM
m-832	175	1	.0	.0	NUM
m-832	175	2	0	0	NUM
m-832	176	1	.2	.2	NUM
m-832	176	2	0	0	NUM
m-832	177	1	.4	.4	NUM
m-832	177	2	0	0	NUM
m-832	178	1	.6	.6	NUM
m-832	178	2			NOUN
m-832	178	3			PUNCT
m-832	178	4			VERB
m-832	178	5			ADJ
m-832	178	6			PROPN
m-832	178	7			PROPN
m-832	178	8	v	v	ADP
m-832	178	9			NUM
m-832	178	10	ijo	ijo	PROPN
m-832	178	11	journals	journal	NOUN
m-832	178	12	volume	volume	NOUN
m-832	178	13	07	07	NUM
m-832	179	1	|	|	ADV
m-832	179	2	issue	issue	NOUN
m-832	179	3	04	04	NUM
m-832	180	1	|	|	CCONJ
m-832	180	2	april	april	PROPN
m-832	180	3	2024	2024	NUM
m-832	181	1	|	|	ADV
m-832	181	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	181	3	8	8	NUM
m-832	181	4	ijo	ijo	PROPN
m-832	181	5	international	international	ADJ
m-832	181	6	journal	journal	PROPN
m-832	181	7	of	of	ADP
m-832	181	8	mathematics	mathematics	PROPN
m-832	181	9	(	(	PUNCT
m-832	181	10	issn	issn	PROPN
m-832	181	11	:	:	PUNCT
m-832	181	12	2992	2992	NUM
m-832	181	13	-	-	SYM
m-832	181	14	4421	4421	NUM
m-832	181	15	)	)	PUNCT
m-832	182	1	prakasha.p1	prakasha.p1	PROPN
m-832	182	2	*	*	PUNCT
m-832	182	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	182	4	volume	volume	NOUN
m-832	182	5	07	07	NUM
m-832	182	6	issue	issue	NOUN
m-832	182	7	04	04	NUM
m-832	182	8	||	||	NOUN
m-832	182	9	april	april	PROPN
m-832	182	10	,	,	PUNCT
m-832	182	11	2024	2024	NUM
m-832	182	12	||	||	NOUN
m-832	182	13	mathematical	mathematical	ADJ
m-832	182	14	analysis	analysis	NOUN
m-832	182	15	of	of	ADP
m-832	182	16	effect	effect	NOUN
m-832	182	17	of	of	ADP
m-832	182	18	viscous	viscous	ADJ
m-832	182	19	dissipation	dissipation	NOUN
m-832	182	20	on	on	ADP
m-832	182	21	transient	transient	ADJ
m-832	182	22	mhd	mhd	PROPN
m-832	182	23	convective	convective	ADJ
m-832	182	24	heat	heat	NOUN
m-832	182	25	transfer	transfer	NOUN
m-832	182	26	through	through	ADP
m-832	182	27	a	a	DET
m-832	182	28	porous	porous	ADJ
m-832	182	29	medium	medium	NOUN
m-832	182	30	in	in	ADP
m-832	182	31	a	a	DET
m-832	182	32	vertical	vertical	ADJ
m-832	182	33	channel	channel	NOUN
m-832	182	34	fig	fig	NOUN
m-832	182	35	(	(	PUNCT
m-832	182	36	9	9	NUM
m-832	182	37	)	)	PUNCT
m-832	182	38	variation	variation	NOUN
m-832	182	39	of	of	ADP
m-832	182	40	v	v	NOUN
m-832	182	41	with	with	ADP
m-832	182	42	β	β	X
m-832	182	43	fig	fig	NOUN
m-832	182	44	(	(	PUNCT
m-832	182	45	10	10	NUM
m-832	182	46	)	)	PUNCT
m-832	182	47	variation	variation	NOUN
m-832	182	48	of	of	ADP
m-832	182	49	v	v	NOUN
m-832	182	50	with	with	ADP
m-832	182	51	r	r	NOUN
m-832	182	52	&	&	CCONJ
m-832	182	53	γ	γ	X
m-832	182	54	g=2x103	g=2x103	PROPN
m-832	182	55	,	,	PUNCT
m-832	182	56	r=35	r=35	ADJ
m-832	182	57	,	,	PUNCT
m-832	182	58	m=2	m=2	PROPN
m-832	182	59	,	,	PUNCT
m-832	182	60	γ=2	γ=2	NOUN
m-832	182	61	,	,	PUNCT
m-832	182	62	x	x	NOUN
m-832	182	63	=	=	NOUN
m-832	182	64	π/4	π/4	PROPN
m-832	182	65	,	,	PUNCT
m-832	182	66	n1=4	n1=4	PROPN
m-832	182	67	,	,	PUNCT
m-832	182	68	t	t	PROPN
m-832	182	69	=	=	SYM
m-832	182	70	π/4	π/4	PUNCT
m-832	182	71	g=2x103	g=2x103	NOUN
m-832	182	72	,	,	PUNCT
m-832	182	73	m=2	m=2	PROPN
m-832	182	74	,	,	PUNCT
m-832	182	75	β=0.5	β=0.5	NOUN
m-832	182	76	,	,	PUNCT
m-832	182	77	x	x	NOUN
m-832	182	78	=	=	NOUN
m-832	182	79	π/4	π/4	PROPN
m-832	182	80	,	,	PUNCT
m-832	182	81	n1=4	n1=4	PROPN
m-832	182	82	,	,	PUNCT
m-832	182	83	t	t	PROPN
m-832	182	84	=	=	SYM
m-832	182	85	π/4	π/4	NOUN
m-832	182	86	fig	fig	NOUN
m-832	182	87	(	(	PUNCT
m-832	182	88	11	11	NUM
m-832	182	89	)	)	PUNCT
m-832	182	90	variation	variation	NOUN
m-832	182	91	of	of	ADP
m-832	182	92	v	v	NOUN
m-832	182	93	with	with	ADP
m-832	182	94	n1	n1	ADJ
m-832	182	95	fig	fig	NOUN
m-832	182	96	(	(	PUNCT
m-832	182	97	12	12	NUM
m-832	182	98	)	)	PUNCT
m-832	182	99	variation	variation	NOUN
m-832	182	100	of	of	ADP
m-832	182	101	v	v	NOUN
m-832	182	102	with	with	ADP
m-832	182	103	x+	x+	X
m-832	182	104	γ	γ	PROPN
m-832	182	105	t	t	PROPN
m-832	182	106	g=2x103	g=2x103	PROPN
m-832	182	107	,	,	PUNCT
m-832	182	108	r=35	r=35	ADJ
m-832	182	109	,	,	PUNCT
m-832	182	110	m=2	m=2	PROPN
m-832	182	111	,	,	PUNCT
m-832	182	112	β=0.5	β=0.5	NOUN
m-832	182	113	,	,	PUNCT
m-832	182	114	γ=2	γ=2	NOUN
m-832	182	115	,	,	PUNCT
m-832	182	116	x	x	NOUN
m-832	182	117	=	=	NOUN
m-832	182	118	π/4	π/4	NUM
m-832	182	119	,	,	PUNCT
m-832	182	120	t	t	NOUN
m-832	182	121	=	=	SYM
m-832	182	122	π/4	π/4	PUNCT
m-832	182	123	g=2x103	g=2x103	NOUN
m-832	182	124	,	,	PUNCT
m-832	182	125	r=35	r=35	ADJ
m-832	182	126	,	,	PUNCT
m-832	182	127	m=2	m=2	PROPN
m-832	182	128	,	,	PUNCT
m-832	182	129	β=0.5	β=0.5	NOUN
m-832	182	130	,	,	PUNCT
m-832	182	131	γ=5	γ=5	PROPN
m-832	182	132	,	,	PUNCT
m-832	182	133	n1=4	n1=4	PROPN
m-832	182	134	,	,	PUNCT
m-832	182	135	t	t	PROPN
m-832	182	136	=	=	PROPN
m-832	182	137	π/4	π/4	PUNCT
m-832	182	138	the	the	DET
m-832	182	139	secondary	secondary	ADJ
m-832	182	140	velocity	velocity	NOUN
m-832	182	141	‘	'	PUNCT
m-832	182	142	v	v	NOUN
m-832	182	143	’	'	PUNCT
m-832	182	144	which	which	PRON
m-832	182	145	arises	arise	VERB
m-832	182	146	due	due	ADP
m-832	182	147	to	to	ADP
m-832	182	148	the	the	DET
m-832	182	149	non	non	ADJ
m-832	182	150	-	-	NOUN
m-832	182	151	uniformity	uniformity	NOUN
m-832	182	152	in	in	ADP
m-832	182	153	the	the	DET
m-832	182	154	boundary	boundary	NOUN
m-832	182	155	has	have	AUX
m-832	182	156	been	be	AUX
m-832	182	157	depicted	depict	VERB
m-832	182	158	in	in	ADP
m-832	182	159	figs	fig	NOUN
m-832	182	160	.	.	PUNCT
m-832	183	1	(	(	PUNCT
m-832	183	2	7	7	NUM
m-832	183	3	)	)	PUNCT
m-832	183	4	(	(	PUNCT
m-832	183	5	12	12	NUM
m-832	183	6	)	)	PUNCT
m-832	183	7	for	for	ADP
m-832	183	8	different	different	ADJ
m-832	183	9	g	g	NOUN
m-832	183	10	,	,	PUNCT
m-832	183	11	r	r	NOUN
m-832	183	12	,	,	PUNCT
m-832	183	13	m	m	PROPN
m-832	183	14	,	,	PUNCT
m-832	183	15	γ	γ	X
m-832	183	16	,	,	PUNCT
m-832	183	17	β	β	NOUN
m-832	183	18	,	,	PUNCT
m-832	183	19	n1	n1	NOUN
m-832	183	20	and	and	CCONJ
m-832	183	21	x+γt	x+γt	NOUN
m-832	183	22	.	.	PUNCT
m-832	184	1	we	we	PRON
m-832	184	2	notice	notice	VERB
m-832	184	3	that	that	SCONJ
m-832	184	4	for	for	ADP
m-832	184	5	smaller	small	ADJ
m-832	184	6	g(≤103	g(≤103	NOUN
m-832	184	7	)	)	PUNCT
m-832	184	8	the	the	DET
m-832	184	9	secondary	secondary	ADJ
m-832	184	10	velocity	velocity	NOUN
m-832	184	11	in	in	ADP
m-832	184	12	the	the	DET
m-832	184	13	left	left	ADJ
m-832	184	14	half	half	NOUN
m-832	184	15	and	and	CCONJ
m-832	184	16	in	in	ADP
m-832	184	17	the	the	DET
m-832	184	18	upper	upper	ADJ
m-832	184	19	region	region	NOUN
m-832	184	20	it	it	PRON
m-832	184	21	is	be	AUX
m-832	184	22	directed	direct	VERB
m-832	184	23	towards	towards	ADP
m-832	184	24	the	the	DET
m-832	184	25	boundary	boundary	NOUN
m-832	184	26	.	.	PUNCT
m-832	185	1	for	for	ADP
m-832	185	2	higher	high	ADJ
m-832	185	3	g(≥3x103	g(≥3x103	NOUN
m-832	185	4	)	)	PUNCT
m-832	185	5	the	the	DET
m-832	185	6	fluid	fluid	NOUN
m-832	185	7	in	in	ADP
m-832	185	8	the	the	DET
m-832	185	9	left	left	ADJ
m-832	185	10	half	half	NOUN
m-832	185	11	is	be	AUX
m-832	185	12	directed	direct	VERB
m-832	185	13	towards	towards	ADP
m-832	185	14	the	the	DET
m-832	185	15	boundary	boundary	NOUN
m-832	185	16	and	and	CCONJ
m-832	185	17	the	the	DET
m-832	185	18	fluid	fluid	NOUN
m-832	185	19	in	in	ADP
m-832	185	20	the	the	DET
m-832	185	21	upper	upper	ADJ
m-832	185	22	half	half	NOUN
m-832	185	23	is	be	AUX
m-832	185	24	directed	direct	VERB
m-832	185	25	towards	towards	ADP
m-832	185	26	the	the	DET
m-832	185	27	mid	mid	ADJ
m-832	185	28	region	region	NOUN
m-832	185	29	,	,	PUNCT
m-832	185	30	while	while	SCONJ
m-832	185	31	for	for	ADP
m-832	185	32	|g|	|g|	PROPN
m-832	185	33	(	(	PUNCT
m-832	185	34	<	<	NOUN
m-832	185	35	0	0	NUM
m-832	185	36	)	)	PUNCT
m-832	185	37	the	the	DET
m-832	185	38	fluid	fluid	NOUN
m-832	185	39	in	in	ADP
m-832	185	40	the	the	DET
m-832	185	41	left	left	ADJ
m-832	185	42	half	half	NOUN
m-832	185	43	is	be	AUX
m-832	185	44	directed	direct	VERB
m-832	185	45	towards	towards	ADP
m-832	185	46	the	the	DET
m-832	185	47	mid	mid	ADJ
m-832	185	48	region	region	NOUN
m-832	185	49	and	and	CCONJ
m-832	185	50	the	the	DET
m-832	185	51	fluid	fluid	NOUN
m-832	185	52	in	in	ADP
m-832	185	53	the	the	DET
m-832	185	54	upper	upper	ADJ
m-832	185	55	half	half	NOUN
m-832	185	56	is	be	AUX
m-832	185	57	directed	direct	VERB
m-832	185	58	towards	towards	ADP
m-832	185	59	boundary	boundary	NOUN
m-832	185	60	,	,	PUNCT
m-832	185	61	for	for	ADP
m-832	185	62	all	all	DET
m-832	185	63	|g|	|g|	ADJ
m-832	185	64	.	.	PUNCT
m-832	186	1	the	the	DET
m-832	186	2	variation	variation	NOUN
m-832	186	3	of	of	ADP
m-832	186	4	‘	'	PUNCT
m-832	186	5	v	v	NOUN
m-832	186	6	’	'	PUNCT
m-832	186	7	with	with	ADP
m-832	186	8	m	m	PROPN
m-832	186	9	shows	show	VERB
m-832	186	10	that	that	SCONJ
m-832	186	11	for	for	ADP
m-832	186	12	smaller	small	ADJ
m-832	186	13	values	value	NOUN
m-832	186	14	of	of	ADP
m-832	186	15	m	m	PROPN
m-832	186	16	~	~	SYM
m-832	186	17	o(0.5	o(0.5	NOUN
m-832	186	18	)	)	PUNCT
m-832	186	19	the	the	DET
m-832	186	20	fluid	fluid	NOUN
m-832	186	21	in	in	ADP
m-832	186	22	entire	entire	ADJ
m-832	186	23	flow	flow	NOUN
m-832	186	24	region	region	NOUN
m-832	186	25	is	be	AUX
m-832	186	26	directed	direct	VERB
m-832	186	27	towards	towards	ADP
m-832	186	28	the	the	DET
m-832	186	29	mid	mid	ADJ
m-832	186	30	region	region	NOUN
m-832	186	31	,	,	PUNCT
m-832	186	32	while	while	SCONJ
m-832	186	33	for	for	ADP
m-832	186	34	higher	high	ADJ
m-832	186	35	m(≥1.5	m(≥1.5	NOUN
m-832	186	36	)	)	PUNCT
m-832	186	37	the	the	DET
m-832	186	38	fluid	fluid	NOUN
m-832	186	39	in	in	ADP
m-832	186	40	the	the	DET
m-832	186	41	flow	flow	NOUN
m-832	186	42	region	region	NOUN
m-832	186	43	is	be	AUX
m-832	186	44	towards	towards	ADP
m-832	186	45	the	the	DET
m-832	186	46	boundary	boundary	NOUN
m-832	186	47	except	except	SCONJ
m-832	186	48	in	in	ADP
m-832	186	49	the	the	DET
m-832	186	50	vicinity	vicinity	NOUN
m-832	186	51	of	of	ADP
m-832	186	52	the	the	DET
m-832	186	53	left	left	ADJ
m-832	186	54	boundary	boundary	NOUN
m-832	186	55	is	be	AUX
m-832	186	56	directed	direct	VERB
m-832	186	57	towards	towards	ADP
m-832	186	58	the	the	DET
m-832	186	59	mid	mid	ADJ
m-832	186	60	region	region	NOUN
m-832	186	61	.	.	PUNCT
m-832	187	1	the	the	DET
m-832	187	2	region	region	NOUN
m-832	187	3	where	where	SCONJ
m-832	187	4	the	the	DET
m-832	187	5	transition	transition	NOUN
m-832	187	6	takes	take	VERB
m-832	187	7	place	place	NOUN
m-832	187	8	enhances	enhance	VERB
m-832	187	9	its	its	PRON
m-832	187	10	size	size	NOUN
m-832	187	11	with	with	ADP
m-832	187	12	increase	increase	NOUN
m-832	187	13	in	in	ADP
m-832	187	14	m.	m.	NOUN
m-832	187	15	an	an	DET
m-832	187	16	increase	increase	NOUN
m-832	187	17	in	in	ADP
m-832	187	18	m	m	NOUN
m-832	187	19	~	~	NOUN
m-832	187	20	o(3.5	o(3.5	NOUN
m-832	187	21	)	)	PUNCT
m-832	187	22	we	we	PRON
m-832	187	23	find	find	VERB
m-832	187	24	a	a	DET
m-832	187	25	retardation	retardation	NOUN
m-832	187	26	in	in	ADP
m-832	187	27	|v|	|v|	INTJ
m-832	187	28	and	and	CCONJ
m-832	187	29	for	for	ADP
m-832	187	30	further	further	ADJ
m-832	187	31	increase	increase	NOUN
m-832	187	32	in	in	ADP
m-832	187	33	m	m	PRON
m-832	187	34	the	the	DET
m-832	187	35	velocity	velocity	NOUN
m-832	187	36	v	v	NOUN
m-832	187	37	in	in	ADP
m-832	187	38	the	the	DET
m-832	187	39	left	left	ADJ
m-832	187	40	region	region	NOUN
m-832	187	41	experiences	experience	VERB
m-832	187	42	a	a	DET
m-832	187	43	depreciation	depreciation	NOUN
m-832	187	44	and	and	CCONJ
m-832	187	45	that	that	SCONJ
m-832	187	46	in	in	ADP
m-832	187	47	the	the	DET
m-832	187	48	right	right	ADJ
m-832	187	49	region	region	NOUN
m-832	187	50	experiences	experience	VERB
m-832	187	51	an	an	DET
m-832	187	52	enhancement	enhancement	NOUN
m-832	187	53	and	and	CCONJ
m-832	187	54	for	for	ADP
m-832	187	55	still	still	ADV
m-832	187	56	higher	high	ADJ
m-832	187	57	m(≥5	m(≥5	NOUN
m-832	187	58	)	)	PUNCT
m-832	187	59	we	we	PRON
m-832	187	60	find	find	VERB
m-832	187	61	an	an	DET
m-832	187	62	enhancement	enhancement	NOUN
m-832	187	63	in	in	ADP
m-832	187	64	|v|	|v|	NOUN
m-832	187	65	in	in	ADP
m-832	187	66	the	the	DET
m-832	187	67	entire	entire	ADJ
m-832	187	68	flow	flow	NOUN
m-832	187	69	region	region	NOUN
m-832	187	70	(	(	PUNCT
m-832	187	71	fig	fig	NOUN
m-832	187	72	.	.	PUNCT
m-832	188	1	(	(	PUNCT
m-832	188	2	8)	8)	NUM
m-832	188	3	)	)	PUNCT
m-832	188	4	.	.	PUNCT
m-832	189	1	from	from	ADP
m-832	189	2	fig	fig	NOUN
m-832	189	3	.	.	PUNCT
m-832	190	1	(	(	PUNCT
m-832	190	2	9	9	NUM
m-832	190	3	)	)	PUNCT
m-832	190	4	,	,	PUNCT
m-832	190	5	it	it	PRON
m-832	190	6	is	be	AUX
m-832	190	7	found	find	VERB
m-832	190	8	that	that	SCONJ
m-832	190	9	greater	great	ADJ
m-832	190	10	the	the	DET
m-832	190	11	dilation	dilation	NOUN
m-832	190	12	β	β	NUM
m-832	190	13	~	~	NOUN
m-832	190	14	o(3.5	o(3.5	NOUN
m-832	190	15	)	)	PUNCT
m-832	190	16	larger	large	ADJ
m-832	190	17	the	the	DET
m-832	190	18	|v|	|v|	NOUN
m-832	190	19	and	and	CCONJ
m-832	190	20	for	for	ADP
m-832	190	21	higher	high	ADJ
m-832	190	22	β	β	NOUN
m-832	190	23	~	~	SYM
m-832	190	24	o(0.5	o(0.5	NOUN
m-832	190	25	)	)	PUNCT
m-832	190	26	we	we	PRON
m-832	190	27	notice	notice	VERB
m-832	190	28	a	a	DET
m-832	190	29	depreciation	depreciation	NOUN
m-832	190	30	in	in	ADP
m-832	190	31	|v|	|v|	NOUN
m-832	190	32	in	in	ADP
m-832	190	33	the	the	DET
m-832	190	34	left	left	ADJ
m-832	190	35	half	half	NOUN
m-832	190	36	and	and	CCONJ
m-832	190	37	enhancement	enhancement	NOUN
m-832	190	38	in	in	ADP
m-832	190	39	|v|	|v|	NOUN
m-832	190	40	in	in	ADP
m-832	190	41	the	the	DET
m-832	190	42	right	right	ADJ
m-832	190	43	half	half	NOUN
m-832	190	44	and	and	CCONJ
m-832	190	45	for	for	ADP
m-832	190	46	still	still	ADV
m-832	190	47	higher	high	ADJ
m-832	190	48	β	β	NOUN
m-832	190	49	,	,	PUNCT
m-832	190	50	larger	large	ADJ
m-832	190	51	|v|	|v|	VERB
m-832	190	52	in	in	ADP
m-832	190	53	entire	entire	ADJ
m-832	190	54	flow	flow	NOUN
m-832	190	55	region	region	NOUN
m-832	190	56	.	.	PUNCT
m-832	191	1	an	an	DET
m-832	191	2	increase	increase	NOUN
m-832	191	3	in	in	ADP
m-832	191	4	r	r	NOUN
m-832	191	5	enhances	enhance	NOUN
m-832	191	6	|v|	|v|	NOUN
m-832	191	7	.	.	PUNCT
m-832	192	1	also	also	ADV
m-832	192	2	an	an	DET
m-832	192	3	increase	increase	NOUN
m-832	192	4	in	in	ADP
m-832	192	5	the	the	DET
m-832	192	6	thermal	thermal	ADJ
m-832	192	7	wave	wave	NOUN
m-832	192	8	velocity	velocity	NOUN
m-832	192	9	γ	γ	PROPN
m-832	192	10	enhances	enhance	VERB
m-832	192	11	|v|	|v|	VERB
m-832	192	12	in	in	ADP
m-832	192	13	the	the	DET
m-832	192	14	upper	upper	ADJ
m-832	192	15	half	half	NOUN
m-832	192	16	and	and	CCONJ
m-832	192	17	reduces	reduce	VERB
m-832	192	18	it	it	PRON
m-832	192	19	in	in	ADP
m-832	192	20	the	the	DET
m-832	192	21	lower	low	ADJ
m-832	192	22	half	half	NOUN
m-832	192	23	,	,	PUNCT
m-832	192	24	and	and	CCONJ
m-832	192	25	for	for	ADP
m-832	192	26	further	further	ADJ
m-832	192	27	increase	increase	NOUN
m-832	192	28	in	in	ADP
m-832	192	29	γ	γ	NOUN
m-832	192	30	we	we	PRON
m-832	192	31	find	find	VERB
m-832	192	32	an	an	DET
m-832	192	33	enhancement	enhancement	NOUN
m-832	192	34	in	in	ADP
m-832	192	35	|v|	|v|	PROPN
m-832	192	36	(	(	PUNCT
m-832	192	37	fig	fig	NOUN
m-832	192	38	.	.	PUNCT
m-832	193	1	(	(	PUNCT
m-832	193	2	10	10	NUM
m-832	193	3	)	)	PUNCT
m-832	193	4	)	)	PUNCT
m-832	193	5	.	.	PUNCT
m-832	194	1	the	the	DET
m-832	194	2	variation	variation	NOUN
m-832	194	3	‘	'	PUNCT
m-832	194	4	v	v	NOUN
m-832	194	5	’	'	PUNCT
m-832	194	6	with	with	ADP
m-832	194	7	n1	n1	PROPN
m-832	194	8	shows	show	VERB
m-832	194	9	that	that	SCONJ
m-832	194	10	for	for	ADP
m-832	194	11	small	small	ADJ
m-832	194	12	values	value	NOUN
m-832	194	13	of	of	ADP
m-832	194	14	n1	n1	NOUN
m-832	194	15	the	the	DET
m-832	194	16	secondary	secondary	ADJ
m-832	194	17	velocity	velocity	NOUN
m-832	194	18	is	be	AUX
m-832	194	19	directed	direct	VERB
m-832	194	20	towards	towards	ADP
m-832	194	21	the	the	DET
m-832	194	22	boundary	boundary	NOUN
m-832	194	23	and	and	CCONJ
m-832	194	24	for	for	ADP
m-832	194	25	higher	high	ADJ
m-832	194	26	values	value	NOUN
m-832	194	27	of	of	ADP
m-832	194	28	n1	n1	NOUN
m-832	194	29	we	we	PRON
m-832	194	30	find	find	VERB
m-832	194	31	that	that	SCONJ
m-832	194	32	v	v	NOUN
m-832	194	33	is	be	AUX
m-832	194	34	towards	towards	ADP
m-832	194	35	the	the	DET
m-832	194	36	mid	mid	ADJ
m-832	194	37	region	region	NOUN
m-832	194	38	for	for	ADP
m-832	194	39	all	all	DET
m-832	194	40	n1	n1	NOUN
m-832	194	41	.	.	PUNCT
m-832	195	1	|v|	|v|	NOUN
m-832	195	2	enhances	enhance	NOUN
m-832	195	3	with	with	ADP
m-832	195	4	increase	increase	NOUN
m-832	195	5	in	in	ADP
m-832	195	6	n1	n1	NOUN
m-832	195	7	.	.	PUNCT
m-832	196	1	(	(	PUNCT
m-832	196	2	fig	fig	NOUN
m-832	196	3	.	.	PUNCT
m-832	197	1	(	(	PUNCT
m-832	197	2	11	11	NUM
m-832	197	3	)	)	PUNCT
m-832	197	4	)	)	PUNCT
m-832	197	5	.	.	PUNCT
m-832	198	1	the	the	DET
m-832	198	2	variation	variation	NOUN
m-832	198	3	‘	'	PUNCT
m-832	198	4	v	v	NOUN
m-832	198	5	’	'	PUNCT
m-832	198	6	with	with	ADP
m-832	198	7	phase	phase	NOUN
m-832	198	8	x+γt	x+γt	NOUN
m-832	198	9	of	of	ADP
m-832	198	10	the	the	DET
m-832	198	11	boundary	boundary	ADJ
m-832	198	12	curve	curve	NOUN
m-832	198	13	shows	show	VERB
m-832	198	14	that	that	SCONJ
m-832	198	15	for	for	ADP
m-832	198	16	increasing	increase	VERB
m-832	198	17	4	4	NUM
m-832	198	18	7	7	NUM
m-832	198	19	x	x	SYM
m-832	198	20			PROPN
m-832	198	21			NUM
m-832	198	22			PROPN
m-832	198	23	t	t	NOUN
m-832	198	24	the	the	DET
m-832	198	25	velocity	velocity	NOUN
m-832	198	26	in	in	ADP
m-832	198	27	the	the	DET
m-832	198	28	left	left	ADJ
m-832	198	29	half	half	NOUN
m-832	198	30	reduces	reduce	VERB
m-832	198	31	and	and	CCONJ
m-832	198	32	that	that	SCONJ
m-832	198	33	in	in	ADP
m-832	198	34	the	the	DET
m-832	198	35	right	right	ADJ
m-832	198	36	region	region	NOUN
m-832	198	37	enhances	enhance	VERB
m-832	198	38	with	with	ADP
m-832	198	39	x+γt	x+γt	NOUN
m-832	198	40	and	and	CCONJ
m-832	198	41	for	for	ADP
m-832	198	42	higher	high	ADJ
m-832	198	43	values	value	NOUN
m-832	198	44	of	of	ADP
m-832	198	45	4	4	NUM
m-832	198	46	11	11	NUM
m-832	198	47	x	x	SYM
m-832	198	48			PROPN
m-832	198	49			PRON
m-832	198	50			NOUN
m-832	198	51	t	t	X
m-832	198	52	we	we	PRON
m-832	198	53	find	find	VERB
m-832	198	54	an	an	DET
m-832	198	55	increase	increase	NOUN
m-832	198	56	in	in	ADP
m-832	198	57	|v|	|v|	PROPN
m-832	198	58	.	.	PUNCT
m-832	199	1	(	(	PUNCT
m-832	199	2	fig.12	fig.12	NOUN
m-832	199	3	)	)	PUNCT
m-832	199	4	.	.	PUNCT
m-832	200	1	-1.0	-1.0	PROPN
m-832	200	2	-0.5	-0.5	PROPN
m-832	200	3	0.0	0.0	NUM
m-832	200	4	0.5	0.5	NUM
m-832	200	5	1.0	1.0	NUM
m-832	200	6	-0.040	-0.040	NUM
m-832	200	7	-0.035	-0.035	NOUN
m-832	200	8	-0.030	-0.030	PUNCT
m-832	200	9	-0.025	-0.025	PUNCT
m-832	200	10	-0.020	-0.020	PUNCT
m-832	200	11	-0.015	-0.015	PUNCT
m-832	200	12	-0.010	-0.010	PUNCT
m-832	200	13	-0.005	-0.005	PUNCT
m-832	201	1	0.000	0.000	NUM
m-832	201	2	0.005	0.005	NUM
m-832	201	3	0.010	0.010	NUM
m-832	201	4	0.015	0.015	NUM
m-832	201	5	0.020	0.020	NUM
m-832	201	6	0.025	0.025	NUM
m-832	201	7	0.030	0.030	NUM
m-832	201	8	n	n	PRON
m-832	201	9	1	1	NUM
m-832	201	10	=	=	SYM
m-832	201	11	0.5	0.5	NUM
m-832	201	12	n	n	NOUN
m-832	201	13	1	1	NUM
m-832	201	14	=	=	SYM
m-832	201	15	1	1	NUM
m-832	201	16	n	n	NUM
m-832	201	17	1	1	NUM
m-832	201	18	=	=	SYM
m-832	201	19	5	5	NUM
m-832	201	20	n	n	NOUN
m-832	201	21	1	1	NUM
m-832	201	22	=	=	SYM
m-832	201	23	10	10	NUM
m-832	201	24	n	n	NOUN
m-832	201	25	1	1	NUM
m-832	201	26	=	=	SYM
m-832	201	27	100	100	NUM
m-832	201	28	v	v	DET
m-832	201	29			NUM
m-832	201	30	-1.0	-1.0	PROPN
m-832	201	31	-0.5	-0.5	PROPN
m-832	201	32	0.0	0.0	NUM
m-832	201	33	0.5	0.5	NUM
m-832	201	34	1.0	1.0	NUM
m-832	201	35	-0.10	-0.10	NUM
m-832	201	36	-0.08	-0.08	NUM
m-832	201	37	-0.06	-0.06	NUM
m-832	201	38	-0.04	-0.04	NUM
m-832	201	39	-0.02	-0.02	NUM
m-832	201	40	0.00	0.00	NUM
m-832	201	41	0.02	0.02	NUM
m-832	201	42	0.04	0.04	NUM
m-832	201	43	0.06	0.06	NUM
m-832	201	44	0.08	0.08	NUM
m-832	201	45	x+	x+	VERB
m-832	201	46	t=	t=	ADJ
m-832	201	47	x+	x+	ADJ
m-832	201	48	t=	t=	NOUN
m-832	201	49	x+	x+	NUM
m-832	201	50	t=3	t=3	NOUN
m-832	201	51	v	v	NOUN
m-832	201	52			NUM
m-832	201	53	ijo	ijo	PROPN
m-832	201	54	journals	journal	NOUN
m-832	201	55	volume	volume	NOUN
m-832	201	56	07	07	NUM
m-832	202	1	|	|	ADV
m-832	202	2	issue	issue	NOUN
m-832	202	3	04	04	NUM
m-832	203	1	|	|	CCONJ
m-832	203	2	april	april	PROPN
m-832	203	3	2024	2024	NUM
m-832	204	1	|	|	ADV
m-832	204	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	204	3	9	9	NUM
m-832	204	4	ijo	ijo	PROPN
m-832	204	5	international	international	ADJ
m-832	204	6	journal	journal	PROPN
m-832	204	7	of	of	ADP
m-832	204	8	mathematics	mathematics	PROPN
m-832	204	9	(	(	PUNCT
m-832	204	10	issn	issn	PROPN
m-832	204	11	:	:	PUNCT
m-832	204	12	2992	2992	NUM
m-832	204	13	-	-	SYM
m-832	204	14	4421	4421	NUM
m-832	204	15	)	)	PUNCT
m-832	205	1	prakasha.p1	prakasha.p1	PROPN
m-832	205	2	*	*	PUNCT
m-832	205	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	205	4	volume	volume	NOUN
m-832	205	5	07	07	NUM
m-832	205	6	issue	issue	NOUN
m-832	205	7	04	04	NUM
m-832	205	8	||	||	NOUN
m-832	205	9	april	april	PROPN
m-832	205	10	,	,	PUNCT
m-832	205	11	2024	2024	NUM
m-832	205	12	||	||	NOUN
m-832	205	13	mathematical	mathematical	ADJ
m-832	205	14	analysis	analysis	NOUN
m-832	205	15	of	of	ADP
m-832	205	16	effect	effect	NOUN
m-832	205	17	of	of	ADP
m-832	205	18	viscous	viscous	ADJ
m-832	205	19	dissipation	dissipation	NOUN
m-832	205	20	on	on	ADP
m-832	205	21	transient	transient	ADJ
m-832	205	22	mhd	mhd	PROPN
m-832	205	23	convective	convective	ADJ
m-832	205	24	heat	heat	NOUN
m-832	205	25	transfer	transfer	NOUN
m-832	205	26	through	through	ADP
m-832	205	27	a	a	DET
m-832	205	28	porous	porous	ADJ
m-832	205	29	medium	medium	NOUN
m-832	205	30	in	in	ADP
m-832	205	31	a	a	DET
m-832	205	32	vertical	vertical	ADJ
m-832	205	33	channel	channel	NOUN
m-832	205	34	fig	fig	NOUN
m-832	205	35	(	(	PUNCT
m-832	205	36	13	13	NUM
m-832	205	37	)	)	PUNCT
m-832	205	38	variation	variation	NOUN
m-832	205	39	of	of	ADP
m-832	205	40	θ	θ	PROPN
m-832	205	41	with	with	ADP
m-832	205	42	g	g	PROPN
m-832	205	43	fig	fig	NOUN
m-832	205	44	(	(	PUNCT
m-832	205	45	14	14	NUM
m-832	205	46	)	)	PUNCT
m-832	205	47	variation	variation	NOUN
m-832	205	48	of	of	ADP
m-832	205	49	θ	θ	PROPN
m-832	205	50	with	with	ADP
m-832	205	51	m	m	PROPN
m-832	205	52	r=35	r=35	ADJ
m-832	205	53	,	,	PUNCT
m-832	205	54	m=2	m=2	X
m-832	205	55	,	,	PUNCT
m-832	205	56	β=0.5	β=0.5	NOUN
m-832	205	57	,	,	PUNCT
m-832	205	58	γ=2	γ=2	NOUN
m-832	205	59	,	,	PUNCT
m-832	205	60	x	x	NOUN
m-832	205	61	=	=	NOUN
m-832	205	62	π/4	π/4	PROPN
m-832	205	63	,	,	PUNCT
m-832	205	64	n1=4	n1=4	PROPN
m-832	205	65	,	,	PUNCT
m-832	205	66	t	t	PROPN
m-832	205	67	=	=	SYM
m-832	205	68	π/4	π/4	PUNCT
m-832	205	69	g=2x103	g=2x103	NOUN
m-832	205	70	,	,	PUNCT
m-832	205	71	r=35	r=35	ADJ
m-832	205	72	,	,	PUNCT
m-832	205	73	β=0.5	β=0.5	NOUN
m-832	205	74	,	,	PUNCT
m-832	205	75	γ=2	γ=2	NOUN
m-832	205	76	,	,	PUNCT
m-832	205	77	x	x	NOUN
m-832	205	78	=	=	NOUN
m-832	205	79	π/4	π/4	PROPN
m-832	205	80	,	,	PUNCT
m-832	205	81	n1=4	n1=4	PROPN
m-832	205	82	,	,	PUNCT
m-832	205	83	t	t	PROPN
m-832	205	84	=	=	AUX
m-832	205	85	π//4	π//4	NOUN
m-832	205	86	fig	fig	NOUN
m-832	205	87	(	(	PUNCT
m-832	205	88	15	15	NUM
m-832	205	89	)	)	PUNCT
m-832	205	90	variation	variation	NOUN
m-832	205	91	of	of	ADP
m-832	205	92	θ	θ	PROPN
m-832	205	93	with	with	ADP
m-832	205	94	β	β	X
m-832	205	95	fig	fig	NOUN
m-832	205	96	(	(	PUNCT
m-832	205	97	16	16	NUM
m-832	205	98	)	)	PUNCT
m-832	205	99	variation	variation	NOUN
m-832	205	100	of	of	ADP
m-832	205	101	θ	θ	PROPN
m-832	205	102	with	with	ADP
m-832	205	103	r	r	NOUN
m-832	205	104	&	&	CCONJ
m-832	205	105	γ	γ	X
m-832	205	106	g=2x103	g=2x103	PROPN
m-832	205	107	,	,	PUNCT
m-832	205	108	r=35	r=35	ADJ
m-832	205	109	,	,	PUNCT
m-832	205	110	m=2	m=2	PROPN
m-832	205	111	,	,	PUNCT
m-832	205	112	γ=2	γ=2	NOUN
m-832	205	113	,	,	PUNCT
m-832	205	114	x	x	NOUN
m-832	205	115	=	=	NOUN
m-832	205	116	π/4	π/4	PROPN
m-832	205	117	,	,	PUNCT
m-832	205	118	n1=4	n1=4	PROPN
m-832	205	119	,	,	PUNCT
m-832	205	120	t	t	PROPN
m-832	205	121	=	=	SYM
m-832	205	122	π/4	π/4	PUNCT
m-832	205	123	g=2x103	g=2x103	NOUN
m-832	205	124	,	,	PUNCT
m-832	205	125	m=2	m=2	PROPN
m-832	205	126	,	,	PUNCT
m-832	205	127	β=0.5	β=0.5	NOUN
m-832	205	128	,	,	PUNCT
m-832	205	129	x	x	NOUN
m-832	205	130	=	=	NOUN
m-832	205	131	π/4	π/4	PROPN
m-832	205	132	,	,	PUNCT
m-832	205	133	n1=4	n1=4	PROPN
m-832	205	134	,	,	PUNCT
m-832	205	135	t	t	PROPN
m-832	205	136	=	=	PROPN
m-832	205	137	π/4	π/4	PUNCT
m-832	205	138	-1	-1	PUNCT
m-832	205	139	.0	.0	NUM
m-832	206	1	-0	-0	X
m-832	207	1	.5	.5	NUM
m-832	207	2	0	0	NUM
m-832	208	1	.0	.0	NUM
m-832	208	2	0	0	NUM
m-832	209	1	.5	.5	NUM
m-832	209	2	1	1	NUM
m-832	209	3	.0	.0	NUM
m-832	209	4	-0	-0	INTJ
m-832	210	1	.2	.2	NUM
m-832	210	2	0	0	NUM
m-832	211	1	.0	.0	NUM
m-832	211	2	0	0	NUM
m-832	212	1	.2	.2	NUM
m-832	212	2	0	0	NUM
m-832	213	1	.4	.4	NUM
m-832	213	2	0	0	NUM
m-832	214	1	.6	.6	NUM
m-832	214	2	0	0	NUM
m-832	214	3	.8	.8	NUM
m-832	214	4	1	1	NUM
m-832	214	5	.0	.0	NUM
m-832	214	6	1	1	NUM
m-832	214	7	.2	.2	NUM
m-832	214	8	1	1	NUM
m-832	214	9	.4	.4	NUM
m-832	214	10	1	1	NUM
m-832	214	11	.6	.6	NUM
m-832	214	12	1	1	NUM
m-832	214	13	.8	.8	NUM
m-832	214	14	2	2	NUM
m-832	214	15	.0	.0	NUM
m-832	214	16	2	2	NUM
m-832	214	17	.2	.2	NUM
m-832	214	18	2	2	NUM
m-832	214	19	.4	.4	NUM
m-832	214	20	2	2	NUM
m-832	214	21	.6	.6	NUM
m-832	214	22	2	2	NUM
m-832	214	23	.8	.8	NUM
m-832	214	24	m	m	NOUN
m-832	214	25	=	=	NOUN
m-832	214	26	0	0	NUM
m-832	214	27	.5	.5	NUM
m-832	214	28	m	m	VERB
m-832	214	29	=	=	NOUN
m-832	214	30	1	1	NUM
m-832	214	31	.5	.5	NUM
m-832	214	32	m	m	VERB
m-832	214	33	=	=	NOUN
m-832	214	34	2	2	NUM
m-832	214	35	.5	.5	NUM
m-832	214	36	m	m	VERB
m-832	214	37	=3	=3	VERB
m-832	214	38	m	m	VERB
m-832	214	39	=	=	NOUN
m-832	214	40	5	5	NUM
m-832	214	41			SYM
m-832	214	42			NUM
m-832	214	43	-1	-1	SYM
m-832	214	44	.0	.0	NUM
m-832	214	45	-0	-0	X
m-832	214	46	.5	.5	NUM
m-832	214	47	0.0	0.0	NUM
m-832	214	48	0.5	0.5	NUM
m-832	214	49	1.0	1.0	NUM
m-832	214	50	-1	-1	SYM
m-832	214	51	.0	.0	NUM
m-832	214	52	-0	-0	PUNCT
m-832	214	53	.8	.8	PUNCT
m-832	214	54	-0	-0	INTJ
m-832	215	1	.6	.6	NUM
m-832	215	2	-0	-0	INTJ
m-832	216	1	.4	.4	NUM
m-832	217	1	-0	-0	PUNCT
m-832	218	1	.2	.2	NUM
m-832	218	2	0.0	0.0	NUM
m-832	218	3	0.2	0.2	NUM
m-832	218	4	0.4	0.4	NUM
m-832	218	5	0.6	0.6	NUM
m-832	218	6	0.8	0.8	NUM
m-832	218	7	1.0	1.0	NUM
m-832	218	8	1.2	1.2	NUM
m-832	218	9	1.4	1.4	NUM
m-832	218	10	1.6	1.6	NUM
m-832	218	11	1.8	1.8	NUM
m-832	218	12	r	r	NOUN
m-832	218	13	=	=	SYM
m-832	218	14	35,	35,	NUM
m-832	218	15	r	r	NOUN
m-832	218	16	=	=	SYM
m-832	218	17	70	70	NUM
m-832	218	18	r	r	NOUN
m-832	218	19	=	=	SYM
m-832	218	20	140	140	NUM
m-832	218	21			NUM
m-832	218	22			NUM
m-832	218	23			NUM
m-832	218	24			X
m-832	218	25			NUM
m-832	218	26	-1	-1	SYM
m-832	218	27	.0	.0	NUM
m-832	219	1	-0	-0	X
m-832	220	1	.5	.5	NUM
m-832	220	2	0	0	NUM
m-832	221	1	.0	.0	NUM
m-832	221	2	0	0	NUM
m-832	222	1	.5	.5	NUM
m-832	222	2	1	1	NUM
m-832	222	3	.0	.0	NUM
m-832	222	4	-1	-1	NOUN
m-832	222	5	.0	.0	NUM
m-832	223	1	-0	-0	X
m-832	224	1	.5	.5	NUM
m-832	224	2	0	0	NUM
m-832	225	1	.0	.0	NUM
m-832	225	2	0	0	NUM
m-832	226	1	.5	.5	NUM
m-832	226	2	1	1	NUM
m-832	226	3	.0	.0	NUM
m-832	226	4	1	1	NUM
m-832	226	5	.5	.5	NUM
m-832	226	6	x+	x+	X
m-832	226	7			NUM
m-832	226	8	t=	t=	PROPN
m-832	226	9			ADV
m-832	226	10	x+	x+	PUNCT
m-832	226	11			NUM
m-832	226	12	t=	t=	PROPN
m-832	226	13			NOUN
m-832	226	14	x+	x+	PUNCT
m-832	226	15			NUM
m-832	226	16	t=	t=	ADJ
m-832	226	17	3	3	NUM
m-832	226	18			NOUN
m-832	226	19			NOUN
m-832	226	20			NOUN
m-832	226	21			CCONJ
m-832	226	22	-1.0	-1.0	PROPN
m-832	226	23	-0.5	-0.5	PROPN
m-832	226	24	0.0	0.0	NUM
m-832	226	25	0.5	0.5	NUM
m-832	226	26	1.0	1.0	NUM
m-832	226	27	0.0	0.0	NUM
m-832	226	28	0.2	0.2	NUM
m-832	226	29	0.4	0.4	NUM
m-832	226	30	0.6	0.6	NUM
m-832	226	31	0.8	0.8	NUM
m-832	226	32	1.0	1.0	NUM
m-832	226	33	1.2	1.2	NUM
m-832	226	34	1.4	1.4	NUM
m-832	226	35	1.6	1.6	NUM
m-832	226	36	1.8	1.8	NUM
m-832	226	37	g=10	g=10	NOUN
m-832	226	38	3	3	NUM
m-832	226	39	g=3x10	g=3x10	NOUN
m-832	226	40	3	3	NUM
m-832	226	41	g=5x10	g=5x10	NOUN
m-832	226	42	3	3	NUM
m-832	226	43	g=-10	g=-10	PROPN
m-832	226	44	3	3	NUM
m-832	226	45	g=-3x10	g=-3x10	NOUN
m-832	226	46	3	3	NUM
m-832	226	47	g=-5x10	g=-5x10	PROPN
m-832	226	48	3	3	NUM
m-832	226	49			NOUN
m-832	226	50			CCONJ
m-832	226	51	-1.0	-1.0	PROPN
m-832	226	52	-0.5	-0.5	PROPN
m-832	226	53	0.0	0.0	NUM
m-832	226	54	0.5	0.5	NUM
m-832	226	55	1.0	1.0	NUM
m-832	226	56	-0.2	-0.2	NUM
m-832	226	57	0.0	0.0	NUM
m-832	226	58	0.2	0.2	NUM
m-832	226	59	0.4	0.4	NUM
m-832	226	60	0.6	0.6	NUM
m-832	226	61	0.8	0.8	NUM
m-832	226	62	1.0	1.0	NUM
m-832	226	63	1.2	1.2	NUM
m-832	226	64	1.4	1.4	NUM
m-832	226	65	1.6	1.6	NUM
m-832	226	66	1.8	1.8	NUM
m-832	226	67	=0.1	=0.1	NOUN
m-832	226	68	=0.3	=0.3	PROPN
m-832	226	69	=0.5	=0.5	NOUN
m-832	226	70	=0.7	=0.7	VERB
m-832	226	71	=0.9	=0.9	PROPN
m-832	226	72			NOUN
m-832	226	73			CCONJ
m-832	226	74	-1.0	-1.0	PROPN
m-832	226	75	-0.5	-0.5	PROPN
m-832	226	76	0.0	0.0	NUM
m-832	226	77	0.5	0.5	NUM
m-832	226	78	1.0	1.0	NUM
m-832	226	79	0.0	0.0	NUM
m-832	226	80	0.2	0.2	NUM
m-832	226	81	0.4	0.4	NUM
m-832	226	82	0.6	0.6	NUM
m-832	226	83	0.8	0.8	NUM
m-832	226	84	1.0	1.0	NUM
m-832	226	85	1.2	1.2	NUM
m-832	226	86	1.4	1.4	NUM
m-832	226	87	1.6	1.6	NUM
m-832	226	88	1.8	1.8	NUM
m-832	226	89	n	n	PRON
m-832	226	90	1	1	NUM
m-832	226	91	=	=	SYM
m-832	226	92	0.5	0.5	NUM
m-832	226	93	n	n	NOUN
m-832	226	94	1	1	NUM
m-832	226	95	=	=	SYM
m-832	226	96	1	1	NUM
m-832	226	97	n	n	NUM
m-832	226	98	1	1	NUM
m-832	226	99	=	=	SYM
m-832	226	100	5	5	NUM
m-832	226	101	n	n	NOUN
m-832	226	102	1	1	NUM
m-832	226	103	=	=	SYM
m-832	226	104	10	10	NUM
m-832	226	105	n	n	NOUN
m-832	226	106	1	1	NUM
m-832	227	1	=	=	SYM
m-832	227	2	100	100	NUM
m-832	227	3			SYM
m-832	227	4			NUM
m-832	227	5	ijo	ijo	PROPN
m-832	227	6	journals	journal	NOUN
m-832	227	7	volume	volume	NOUN
m-832	227	8	07	07	NUM
m-832	228	1	|	|	ADV
m-832	228	2	issue	issue	NOUN
m-832	228	3	04	04	NUM
m-832	229	1	|	|	CCONJ
m-832	229	2	april	april	PROPN
m-832	229	3	2024	2024	NUM
m-832	230	1	|	|	ADV
m-832	230	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	230	3	10	10	NUM
m-832	230	4	ijo	ijo	PROPN
m-832	230	5	international	international	ADJ
m-832	230	6	journal	journal	PROPN
m-832	230	7	of	of	ADP
m-832	230	8	mathematics	mathematics	PROPN
m-832	230	9	(	(	PUNCT
m-832	230	10	issn	issn	PROPN
m-832	230	11	:	:	PUNCT
m-832	230	12	2992	2992	NUM
m-832	230	13	-	-	SYM
m-832	230	14	4421	4421	NUM
m-832	230	15	)	)	PUNCT
m-832	231	1	prakasha.p1	prakasha.p1	PROPN
m-832	231	2	*	*	PUNCT
m-832	231	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	231	4	volume	volume	NOUN
m-832	231	5	07	07	NUM
m-832	231	6	issue	issue	NOUN
m-832	231	7	04	04	NUM
m-832	231	8	||	||	NOUN
m-832	231	9	april	april	PROPN
m-832	231	10	,	,	PUNCT
m-832	231	11	2024	2024	NUM
m-832	231	12	||	||	NOUN
m-832	231	13	mathematical	mathematical	ADJ
m-832	231	14	analysis	analysis	NOUN
m-832	231	15	of	of	ADP
m-832	231	16	effect	effect	NOUN
m-832	231	17	of	of	ADP
m-832	231	18	viscous	viscous	ADJ
m-832	231	19	dissipation	dissipation	NOUN
m-832	231	20	on	on	ADP
m-832	231	21	transient	transient	ADJ
m-832	231	22	mhd	mhd	PROPN
m-832	231	23	convective	convective	ADJ
m-832	231	24	heat	heat	NOUN
m-832	231	25	transfer	transfer	NOUN
m-832	231	26	through	through	ADP
m-832	231	27	a	a	DET
m-832	231	28	porous	porous	ADJ
m-832	231	29	medium	medium	NOUN
m-832	231	30	in	in	ADP
m-832	231	31	a	a	DET
m-832	231	32	vertical	vertical	ADJ
m-832	231	33	channel	channel	NOUN
m-832	231	34	fig	fig	NOUN
m-832	231	35	(	(	PUNCT
m-832	231	36	17	17	NUM
m-832	231	37	)	)	PUNCT
m-832	231	38	variation	variation	NOUN
m-832	231	39	of	of	ADP
m-832	231	40	θ	θ	PROPN
m-832	231	41	with	with	ADP
m-832	231	42	n1	n1	PROPN
m-832	231	43	fig	fig	NOUN
m-832	231	44	(	(	PUNCT
m-832	231	45	18	18	NUM
m-832	231	46	)	)	PUNCT
m-832	231	47	variation	variation	NOUN
m-832	231	48	of	of	ADP
m-832	231	49	θ	θ	PROPN
m-832	231	50	with	with	ADP
m-832	231	51	x+	x+	ADJ
m-832	231	52	γ	γ	PROPN
m-832	231	53	t	t	PROPN
m-832	231	54	g=2x103	g=2x103	PROPN
m-832	231	55	,	,	PUNCT
m-832	231	56	r=35	r=35	ADJ
m-832	231	57	,	,	PUNCT
m-832	231	58	m=2	m=2	PROPN
m-832	231	59	,	,	PUNCT
m-832	231	60	β=0.5	β=0.5	NOUN
m-832	231	61	,	,	PUNCT
m-832	231	62	γ=2	γ=2	NOUN
m-832	231	63	,	,	PUNCT
m-832	231	64	x	x	NOUN
m-832	231	65	=	=	NOUN
m-832	231	66	π/4	π/4	NUM
m-832	231	67	,	,	PUNCT
m-832	231	68	t	t	NOUN
m-832	231	69	=	=	SYM
m-832	231	70	π/4	π/4	PUNCT
m-832	231	71	g=2x103	g=2x103	NOUN
m-832	231	72	,	,	PUNCT
m-832	231	73	r=35	r=35	ADJ
m-832	231	74	,	,	PUNCT
m-832	231	75	m=2	m=2	PROPN
m-832	231	76	,	,	PUNCT
m-832	231	77	β=0.5	β=0.5	NOUN
m-832	231	78	,	,	PUNCT
m-832	231	79	γ=5	γ=5	PROPN
m-832	231	80	,	,	PUNCT
m-832	231	81	n1=4	n1=4	PROPN
m-832	231	82	,	,	PUNCT
m-832	231	83	t	t	PROPN
m-832	231	84	=	=	PROPN
m-832	231	85	π/4	π/4	PUNCT
m-832	231	86	the	the	DET
m-832	231	87	temperature	temperature	NOUN
m-832	231	88	distribution	distribution	NOUN
m-832	231	89	(	(	PUNCT
m-832	231	90	θ	θ	NOUN
m-832	231	91	)	)	PUNCT
m-832	231	92	for	for	ADP
m-832	231	93	different	different	ADJ
m-832	231	94	values	value	NOUN
m-832	231	95	of	of	ADP
m-832	231	96	g	g	NOUN
m-832	231	97	,	,	PUNCT
m-832	231	98	r	r	NOUN
m-832	231	99	,	,	PUNCT
m-832	231	100	m	m	PROPN
m-832	231	101	,	,	PUNCT
m-832	231	102	β	β	NOUN
m-832	231	103	,	,	PUNCT
m-832	231	104	n1	n1	NOUN
m-832	231	105	and	and	CCONJ
m-832	231	106	x+γt	x+γt	PROPN
m-832	231	107	is	be	AUX
m-832	231	108	shown	show	VERB
m-832	231	109	in	in	ADP
m-832	231	110	figs	fig	NOUN
m-832	231	111	.	.	PUNCT
m-832	232	1	(	(	PUNCT
m-832	232	2	13	13	NUM
m-832	232	3	)	)	PUNCT
m-832	232	4	(	(	PUNCT
m-832	232	5	18	18	NUM
m-832	232	6	)	)	PUNCT
m-832	232	7	.	.	PUNCT
m-832	233	1	the	the	DET
m-832	233	2	perturbation	perturbation	NOUN
m-832	233	3	temperature	temperature	NOUN
m-832	233	4	in	in	ADP
m-832	233	5	general	general	ADJ
m-832	233	6	is	be	AUX
m-832	233	7	positive	positive	ADJ
m-832	233	8	and	and	CCONJ
m-832	233	9	hence	hence	ADV
m-832	233	10	contributes	contribute	VERB
m-832	233	11	to	to	ADP
m-832	233	12	the	the	DET
m-832	233	13	enhancement	enhancement	NOUN
m-832	233	14	of	of	ADP
m-832	233	15	actual	actual	ADJ
m-832	233	16	temperature	temperature	NOUN
m-832	233	17	in	in	ADP
m-832	233	18	the	the	DET
m-832	233	19	fluid	fluid	ADJ
m-832	233	20	region	region	NOUN
m-832	233	21	.	.	PUNCT
m-832	234	1	fig	fig	NOUN
m-832	234	2	(	(	PUNCT
m-832	234	3	13	13	NUM
m-832	234	4	)	)	PUNCT
m-832	234	5	depicts	depict	VERB
m-832	234	6	behavior	behavior	NOUN
m-832	234	7	of	of	ADP
m-832	234	8	θ	θ	PROPN
m-832	234	9	for	for	ADP
m-832	234	10	different	different	ADJ
m-832	234	11	|g|(><0	|g|(><0	NUM
m-832	234	12	)	)	PUNCT
m-832	234	13	.	.	PUNCT
m-832	235	1	we	we	PRON
m-832	235	2	notice	notice	VERB
m-832	235	3	that	that	SCONJ
m-832	235	4	in	in	ADP
m-832	235	5	a	a	DET
m-832	235	6	dilated	dilated	ADJ
m-832	235	7	channel	channel	NOUN
m-832	235	8	the	the	DET
m-832	235	9	temperature	temperature	NOUN
m-832	235	10	increases	increase	NOUN
m-832	235	11	/	/	SYM
m-832	235	12	decreases	decrease	NOUN
m-832	235	13	with	with	ADP
m-832	235	14	|g|	|g|	PROPN
m-832	235	15	according	accord	VERB
m-832	235	16	as	as	ADP
m-832	235	17	with	with	ADP
m-832	235	18	g(>0	g(>0	NOUN
m-832	235	19	)	)	PUNCT
m-832	235	20	or	or	CCONJ
m-832	235	21	g(<0	g(<0	PROPN
m-832	235	22	)	)	PUNCT
m-832	235	23	.	.	PUNCT
m-832	236	1	an	an	DET
m-832	236	2	increase	increase	NOUN
m-832	236	3	in	in	ADP
m-832	236	4	m	m	NOUN
m-832	236	5	~	~	NOUN
m-832	236	6	o(2.5	o(2.5	NOUN
m-832	236	7	)	)	PUNCT
m-832	236	8	we	we	PRON
m-832	236	9	find	find	VERB
m-832	236	10	an	an	DET
m-832	236	11	enhancement	enhancement	NOUN
m-832	236	12	in	in	ADP
m-832	236	13	θ	θ	PROPN
m-832	236	14	.	.	PUNCT
m-832	236	15	for	for	ADP
m-832	236	16	higher	high	ADJ
m-832	236	17	m(≥3.0	m(≥3.0	PROPN
m-832	236	18	)	)	PUNCT
m-832	236	19	the	the	DET
m-832	236	20	temperature	temperature	NOUN
m-832	236	21	in	in	ADP
m-832	236	22	the	the	DET
m-832	236	23	left	left	ADJ
m-832	236	24	half	half	NOUN
m-832	236	25	enhances	enhance	NOUN
m-832	236	26	and	and	CCONJ
m-832	236	27	that	that	SCONJ
m-832	236	28	in	in	ADP
m-832	236	29	the	the	DET
m-832	236	30	right	right	ADJ
m-832	236	31	half	half	NOUN
m-832	236	32	depreciates	depreciate	VERB
m-832	236	33	with	with	ADP
m-832	236	34	increase	increase	NOUN
m-832	236	35	in	in	ADP
m-832	236	36	m.	m.	NOUN
m-832	236	37	also	also	ADV
m-832	236	38	higher	high	ADJ
m-832	236	39	the	the	DET
m-832	236	40	dilation	dilation	NOUN
m-832	236	41	larger	large	ADJ
m-832	236	42	the	the	DET
m-832	236	43	temperature	temperature	NOUN
m-832	236	44	in	in	ADP
m-832	236	45	the	the	DET
m-832	236	46	left	left	ADJ
m-832	236	47	region	region	NOUN
m-832	236	48	and	and	CCONJ
m-832	236	49	smaller	small	ADJ
m-832	236	50	the	the	DET
m-832	236	51	temperature	temperature	NOUN
m-832	236	52	in	in	ADP
m-832	236	53	the	the	DET
m-832	236	54	upper	upper	ADJ
m-832	236	55	region	region	NOUN
m-832	236	56	(	(	PUNCT
m-832	236	57	fig.(15	fig.(15	PROPN
m-832	236	58	)	)	PUNCT
m-832	236	59	)	)	PUNCT
m-832	236	60	.	.	PUNCT
m-832	237	1	an	an	DET
m-832	237	2	increase	increase	NOUN
m-832	237	3	in	in	ADP
m-832	237	4	r	r	NOUN
m-832	237	5	decreases	decrease	NOUN
m-832	237	6	θ	θ	PROPN
m-832	237	7	.	.	PUNCT
m-832	238	1	the	the	DET
m-832	238	2	variation	variation	NOUN
m-832	238	3	of	of	ADP
m-832	238	4	‘	'	PUNCT
m-832	238	5	θ	θ	NOUN
m-832	238	6	’	'	PUNCT
m-832	238	7	with	with	ADP
m-832	238	8	γ	γ	PROPN
m-832	238	9	shows	show	VERB
m-832	238	10	that	that	SCONJ
m-832	238	11	for	for	ADP
m-832	238	12	γ≤5	γ≤5	NOUN
m-832	238	13	the	the	DET
m-832	238	14	temperature	temperature	NOUN
m-832	238	15	is	be	AUX
m-832	238	16	negative	negative	ADJ
m-832	238	17	and	and	CCONJ
m-832	238	18	for	for	ADP
m-832	238	19	higher	high	ADJ
m-832	238	20	γ≤10	γ≤10	NOUN
m-832	238	21	,	,	PUNCT
m-832	238	22	θ	θ	PROPN
m-832	238	23	is	be	AUX
m-832	238	24	positive	positive	ADJ
m-832	238	25	.	.	PUNCT
m-832	239	1	also	also	ADV
m-832	239	2	an	an	DET
m-832	239	3	increase	increase	NOUN
m-832	239	4	in	in	ADP
m-832	239	5	γ≥10	γ≥10	PROPN
m-832	239	6	leads	lead	VERB
m-832	239	7	to	to	ADP
m-832	239	8	an	an	DET
m-832	239	9	enhancement	enhancement	NOUN
m-832	239	10	in	in	ADP
m-832	239	11	‘	'	PUNCT
m-832	239	12	θ	θ	NOUN
m-832	239	13	’	'	PUNCT
m-832	239	14	and	and	CCONJ
m-832	239	15	for	for	ADP
m-832	239	16	further	further	ADJ
m-832	239	17	higher	high	ADJ
m-832	239	18	values	value	NOUN
m-832	239	19	of	of	ADP
m-832	239	20	γ	γ	NOUN
m-832	239	21	we	we	PRON
m-832	239	22	notice	notice	VERB
m-832	239	23	a	a	DET
m-832	239	24	depreciation	depreciation	NOUN
m-832	239	25	in	in	ADP
m-832	239	26	θ	θ	PROPN
m-832	239	27	.	.	PUNCT
m-832	240	1	the	the	DET
m-832	240	2	effect	effect	NOUN
m-832	240	3	of	of	ADP
m-832	240	4	radiation	radiation	NOUN
m-832	240	5	on	on	ADP
m-832	240	6	‘	'	PUNCT
m-832	240	7	θ	θ	NOUN
m-832	240	8	’	'	PUNCT
m-832	240	9	is	be	AUX
m-832	240	10	shown	show	VERB
m-832	240	11	in	in	ADP
m-832	240	12	fig	fig	NOUN
m-832	240	13	.	.	PUNCT
m-832	241	1	(	(	PUNCT
m-832	241	2	17	17	NUM
m-832	241	3	)	)	PUNCT
m-832	241	4	.	.	PUNCT
m-832	242	1	an	an	DET
m-832	242	2	enhancement	enhancement	NOUN
m-832	242	3	in	in	ADP
m-832	242	4	the	the	DET
m-832	242	5	radiation	radiation	NOUN
m-832	242	6	parameter	parameter	NOUN
m-832	242	7	n1	n1	PROPN
m-832	242	8	results	result	NOUN
m-832	242	9	in	in	ADP
m-832	242	10	an	an	DET
m-832	242	11	increase	increase	NOUN
m-832	242	12	in	in	ADP
m-832	242	13	the	the	DET
m-832	242	14	temperature	temperature	NOUN
m-832	242	15	in	in	ADP
m-832	242	16	entire	entire	ADJ
m-832	242	17	flow	flow	NOUN
m-832	242	18	region	region	NOUN
m-832	242	19	.	.	PUNCT
m-832	243	1	the	the	DET
m-832	243	2	variation	variation	NOUN
m-832	243	3	of	of	ADP
m-832	243	4	θ	θ	PROPN
m-832	243	5	with	with	ADP
m-832	243	6	phase	phase	NOUN
m-832	243	7	x+γt	x+γt	NOUN
m-832	243	8	of	of	ADP
m-832	243	9	the	the	DET
m-832	243	10	boundary	boundary	ADJ
m-832	243	11	temperature	temperature	NOUN
m-832	243	12	curve	curve	NOUN
m-832	243	13	shows	show	VERB
m-832	243	14	that	that	SCONJ
m-832	243	15	for	for	ADP
m-832	243	16	2	2	NUM
m-832	243	17	x	x	SYM
m-832	243	18			PROPN
m-832	243	19			PRON
m-832	243	20			NOUN
m-832	243	21	t	t	VERB
m-832	243	22	the	the	DET
m-832	243	23	temperature	temperature	NOUN
m-832	243	24	is	be	AUX
m-832	243	25	negative	negative	ADJ
m-832	243	26	and	and	CCONJ
m-832	243	27	for	for	ADP
m-832	243	28	higher	high	ADJ
m-832	243	29	values	value	NOUN
m-832	243	30	of	of	ADP
m-832	243	31	x+γt	x+γt	NOUN
m-832	243	32	,	,	PUNCT
m-832	243	33	θ	θ	PROPN
m-832	243	34	is	be	AUX
m-832	243	35	positive	positive	ADJ
m-832	243	36	.	.	PUNCT
m-832	244	1	for	for	ADP
m-832	244	2	an	an	DET
m-832	244	3	increase	increase	NOUN
m-832	244	4	2	2	NUM
m-832	244	5	x	x	SYM
m-832	244	6			PROPN
m-832	244	7			NUM
m-832	244	8			PROPN
m-832	244	9	t	t	NOUN
m-832	244	10	we	we	PRON
m-832	244	11	find	find	VERB
m-832	244	12	depreciation	depreciation	NOUN
m-832	244	13	in	in	ADP
m-832	244	14	θ	θ	PROPN
m-832	244	15	and	and	CCONJ
m-832	244	16	for	for	ADP
m-832	244	17	higher	high	ADJ
m-832	244	18	2	2	NUM
m-832	244	19	3	3	NUM
m-832	244	20	x	x	SYM
m-832	244	21			PROPN
m-832	244	22			PRON
m-832	244	23			NOUN
m-832	244	24	t	t	PROPN
m-832	244	25	,	,	PUNCT
m-832	244	26	θ	θ	PROPN
m-832	244	27	enhances	enhance	VERB
m-832	244	28	in	in	ADP
m-832	244	29	entire	entire	ADJ
m-832	244	30	flow	flow	NOUN
m-832	244	31	field(fig.18	field(fig.18	VERB
m-832	244	32	)	)	PUNCT
m-832	244	33	.	.	PUNCT
m-832	245	1	table.1	table.1	VERB
m-832	245	2	shear	shear	NOUN
m-832	245	3	stress(	stress(	INTJ
m-832	245	4	)	)	PUNCT
m-832	245	5	at	at	ADP
m-832	245	6	y	y	PROPN
m-832	245	7	=	=	SYM
m-832	245	8	1	1	NUM
m-832	245	9	,	,	PUNCT
m-832	245	10	p=0.71	p=0.71	VERB
m-832	245	11	g	g	NOUN
m-832	245	12	i	i	PRON
m-832	245	13	ii	ii	PROPN
m-832	245	14	iii	iii	NUM
m-832	245	15	iv	iv	NUM
m-832	245	16	v	v	PROPN
m-832	245	17	vi	vi	PROPN
m-832	245	18	vii	vii	PROPN
m-832	245	19	viii	viii	PROPN
m-832	245	20	10	10	NUM
m-832	245	21	3	3	NUM
m-832	245	22	-27.32	-27.32	PROPN
m-832	245	23	-54.318	-54.318	PROPN
m-832	245	24	-86.19	-86.19	PROPN
m-832	246	1	-38.688	-38.688	NOUN
m-832	247	1	-49.176	-49.176	INTJ
m-832	247	2	-27.303	-27.303	INTJ
m-832	248	1	-49.182	-49.182	PROPN
m-832	248	2	-59.912	-59.912	PROPN
m-832	249	1	3x10	3x10	NUM
m-832	249	2	3	3	NUM
m-832	249	3	53.5904	53.5904	NUM
m-832	249	4	-83.733	-83.733	X
m-832	249	5	-106.441	-106.441	NUM
m-832	249	6	-75.856	-75.856	PROPN
m-832	250	1	-88.87	-88.87	PRON
m-832	250	2	53.501	53.501	NUM
m-832	250	3	-108.481	-108.481	NUM
m-832	250	4	-127.611	-127.611	NUM
m-832	250	5	5x10	5x10	NOUN
m-832	250	6	3	3	NUM
m-832	250	7	84.3505	84.3505	NUM
m-832	250	8	-122.711	-122.711	NOUN
m-832	250	9	-176.981	-176.981	NUM
m-832	250	10	-100.541	-100.541	PROPN
m-832	250	11	-123.291	-123.291	PROPN
m-832	250	12	93.685	93.685	NUM
m-832	250	13	-236.881	-236.881	NOUN
m-832	250	14	-168.051	-168.051	NOUN
m-832	250	15	-10	-10	PUNCT
m-832	250	16	3	3	NUM
m-832	250	17	-54.375	-54.375	PROPN
m-832	250	18	-62.796	-62.796	PROPN
m-832	250	19	-89.806	-89.806	PUNCT
m-832	250	20	-43.128	-43.128	PUNCT
m-832	250	21	-59.124	-59.124	NOUN
m-832	250	22	-54.393	-54.393	PROPN
m-832	250	23	-71.123	-71.123	PUNCT
m-832	250	24	-66.969	-66.969	PUNCT
m-832	250	25	-3x10	-3x10	X
m-832	250	26	3	3	NUM
m-832	250	27	-76.578	-76.578	PROPN
m-832	250	28	-97.488	-97.488	PROPN
m-832	250	29	-102.951	-102.951	PROPN
m-832	250	30	-83.242	-83.242	PROPN
m-832	250	31	-108.591	-108.591	PROPN
m-832	250	32	-76.647	-76.647	NOUN
m-832	250	33	-177.041	-177.041	NUM
m-832	251	1	-87.759	-87.759	NOUN
m-832	251	2	-5x10	-5x10	PROPN
m-832	251	3	3	3	NUM
m-832	251	4	-144.941	-144.941	NUM
m-832	251	5	-167.721	-167.721	PROPN
m-832	251	6	-251.611	-251.611	NOUN
m-832	251	7	-159.061	-159.061	NOUN
m-832	251	8	-168.491	-168.491	NOUN
m-832	251	9	-128.711	-128.711	SYM
m-832	251	10	-281.771	-281.771	NUM
m-832	251	11	-196.321	-196.321	NUM
m-832	251	12	table.2	table.2	ADJ
m-832	251	13	shear	shear	NOUN
m-832	251	14	stress(	stress(	INTJ
m-832	251	15	)	)	PUNCT
m-832	252	1	at	at	ADP
m-832	252	2	y	y	PROPN
m-832	252	3	=	=	PUNCT
m-832	252	4	-1	-1	NOUN
m-832	252	5	p=0.71	p=0.71	NOUN
m-832	252	6	g	g	NOUN
m-832	252	7	i	i	PRON
m-832	252	8	ii	ii	PROPN
m-832	252	9	iii	iii	NUM
m-832	252	10	iv	iv	NUM
m-832	252	11	v	v	PROPN
m-832	252	12	vi	vi	PROPN
m-832	252	13	vii	vii	PROPN
m-832	252	14	viii	viii	PROPN
m-832	252	15	10	10	NUM
m-832	252	16	3	3	NUM
m-832	252	17	0.0857	0.0857	NUM
m-832	252	18	0.5203	0.5203	NUM
m-832	252	19	0.8311	0.8311	NUM
m-832	252	20	0.6351	0.6351	NUM
m-832	252	21	-1.1167	-1.1167	NOUN
m-832	252	22	0.0494	0.0494	NUM
m-832	252	23	-1.2606	-1.2606	NOUN
m-832	252	24	0.5973	0.5973	NUM
m-832	252	25	3x10	3x10	NUM
m-832	252	26	3	3	NUM
m-832	252	27	3.6351	3.6351	NUM
m-832	252	28	-2.3797	-2.3797	NOUN
m-832	252	29	-6.0387	-6.0387	NOUN
m-832	252	30	-2.9492	-2.9492	PROPN
m-832	252	31	-6.9704	-6.9704	PROPN
m-832	253	1	3.2407	3.2407	NUM
m-832	253	2	-9.6896	-9.6896	NOUN
m-832	253	3	-3.1505	-3.1505	PROPN
m-832	253	4	5x10	5x10	NUM
m-832	253	5	3	3	NUM
m-832	253	6	33.614	33.614	NUM
m-832	253	7	4.6238	4.6238	NUM
m-832	253	8	-10.804	-10.804	NOUN
m-832	253	9	-3.5669	-3.5669	VERB
m-832	253	10	4.9161	4.9161	NUM
m-832	253	11	32.0035	32.0035	NUM
m-832	253	12	-7.2413	-7.2413	NOUN
m-832	253	13	1.1336	1.1336	NUM
m-832	253	14	-10	-10	SYM
m-832	253	15	3	3	NUM
m-832	253	16	3.1566	3.1566	NUM
m-832	253	17	3.6622	3.6622	NUM
m-832	253	18	3.8092	3.8092	NUM
m-832	253	19	2.3599	2.3599	NUM
m-832	253	20	1.8977	1.8977	NUM
m-832	253	21	3.1929	3.1929	NUM
m-832	253	22	2.0418	2.0418	NUM
m-832	253	23	3.7117	3.7117	NUM
m-832	253	24	-3x10	-3x10	SYM
m-832	253	25	3	3	NUM
m-832	253	26	-6.9607	-6.9607	NOUN
m-832	253	27	-2.6153	-2.6153	NOUN
m-832	253	28	-3.0992	-3.0992	PROPN
m-832	253	29	-2.6016	-2.6016	PROPN
m-832	254	1	-18.506	-18.506	X
m-832	255	1	-6.5656	-6.5656	NOUN
m-832	256	1	-15.785	-15.785	X
m-832	256	2	-2.4721	-2.4721	NOUN
m-832	257	1	-5x10	-5x10	PROPN
m-832	257	2	3	3	NUM
m-832	257	3	-50.075	-50.075	PROPN
m-832	257	4	-27.973	-27.973	PROPN
m-832	257	5	-25.889	-25.889	PROPN
m-832	258	1	-19.076	-19.076	ADJ
m-832	259	1	-82.909	-82.909	NOUN
m-832	259	2	-48.462	-48.462	PROPN
m-832	259	3	-70.746	-70.746	NOUN
m-832	259	4	-26.619	-26.619	NUM
m-832	260	1	ijo	ijo	PROPN
m-832	260	2	journals	journal	NOUN
m-832	260	3	volume	volume	NOUN
m-832	260	4	07	07	NUM
m-832	260	5	|	|	ADV
m-832	260	6	issue	issue	NOUN
m-832	260	7	04	04	NUM
m-832	261	1	|	|	CCONJ
m-832	261	2	april	april	PROPN
m-832	261	3	2024	2024	NUM
m-832	262	1	|	|	ADV
m-832	262	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	262	3	11	11	NUM
m-832	262	4	ijo	ijo	PROPN
m-832	262	5	international	international	PROPN
m-832	262	6	journal	journal	PROPN
m-832	262	7	of	of	ADP
m-832	262	8	mathematics	mathematics	PROPN
m-832	262	9	(	(	PUNCT
m-832	262	10	issn	issn	PROPN
m-832	262	11	:	:	PUNCT
m-832	262	12	2992	2992	NUM
m-832	262	13	-	-	SYM
m-832	262	14	4421	4421	NUM
m-832	262	15	)	)	PUNCT
m-832	263	1	prakasha.p1	prakasha.p1	PROPN
m-832	263	2	*	*	PUNCT
m-832	263	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	263	4	volume	volume	NOUN
m-832	263	5	07	07	NUM
m-832	263	6	issue	issue	NOUN
m-832	263	7	04	04	NUM
m-832	263	8	||	||	NOUN
m-832	263	9	april	april	PROPN
m-832	263	10	,	,	PUNCT
m-832	263	11	2024	2024	NUM
m-832	263	12	||	||	NOUN
m-832	263	13	mathematical	mathematical	ADJ
m-832	263	14	analysis	analysis	NOUN
m-832	263	15	of	of	ADP
m-832	263	16	effect	effect	NOUN
m-832	263	17	of	of	ADP
m-832	263	18	viscous	viscous	ADJ
m-832	263	19	dissipation	dissipation	NOUN
m-832	263	20	on	on	ADP
m-832	263	21	transient	transient	ADJ
m-832	263	22	mhd	mhd	PROPN
m-832	263	23	convective	convective	ADJ
m-832	263	24	heat	heat	NOUN
m-832	263	25	transfer	transfer	NOUN
m-832	263	26	through	through	ADP
m-832	263	27	a	a	DET
m-832	263	28	porous	porous	ADJ
m-832	263	29	medium	medium	NOUN
m-832	263	30	in	in	ADP
m-832	263	31	a	a	DET
m-832	263	32	vertical	vertical	ADJ
m-832	263	33	channel	channel	NOUN
m-832	263	34	table.3	table.3	ADP
m-832	263	35	average	average	ADJ
m-832	263	36	nusselt	nusselt	NOUN
m-832	263	37	number(nu	number(nu	NOUN
m-832	263	38	)	)	PUNCT
m-832	263	39	at	at	ADP
m-832	263	40	y	y	NOUN
m-832	263	41	=	=	SYM
m-832	263	42	1	1	NUM
m-832	263	43	p=0.71	p=0.71	NOUN
m-832	263	44	table	table	NOUN
m-832	263	45	..	..	PUNCT
m-832	263	46	4	4	NUM
m-832	263	47	average	average	ADJ
m-832	263	48	nusselt	nusselt	NOUN
m-832	263	49	number	number	NOUN
m-832	263	50	(	(	PUNCT
m-832	263	51	nu	nu	NOUN
m-832	263	52	)	)	PUNCT
m-832	263	53	at	at	ADP
m-832	263	54	y	y	PROPN
m-832	263	55	=	=	PUNCT
m-832	263	56	-1	-1	NOUN
m-832	263	57	p=0.71	p=0.71	NOUN
m-832	263	58	g	g	NOUN
m-832	263	59	i	i	PRON
m-832	263	60	ii	ii	PROPN
m-832	263	61	iii	iii	NUM
m-832	263	62	iv	iv	NUM
m-832	263	63	v	v	PROPN
m-832	263	64	vi	vi	PROPN
m-832	263	65	vii	vii	PROPN
m-832	263	66	viii	viii	PROPN
m-832	263	67	10	10	NUM
m-832	263	68	3	3	NUM
m-832	263	69	4.1254	4.1254	NUM
m-832	263	70	3.7439	3.7439	NUM
m-832	263	71	3.6133	3.6133	NUM
m-832	263	72	1.8222	1.8222	NUM
m-832	263	73	2.2733	2.2733	NUM
m-832	263	74	1.1622	1.1622	NUM
m-832	263	75	1.4049	1.4049	NUM
m-832	263	76	3.6995	3.6995	NUM
m-832	263	77	3x10	3x10	NUM
m-832	263	78	3	3	NUM
m-832	263	79	5.7579	5.7579	NUM
m-832	263	80	3.9748	3.9748	NUM
m-832	263	81	3.9277	3.9277	NUM
m-832	263	82	1.6329	1.6329	NUM
m-832	263	83	1.7193	1.7193	NUM
m-832	263	84	1.4569	1.4569	NUM
m-832	263	85	1.6775	1.6775	NUM
m-832	263	86	3.9398	3.9398	NUM
m-832	263	87	5x10	5x10	NUM
m-832	263	88	3	3	NUM
m-832	263	89	2.6433	2.6433	NUM
m-832	263	90	3.9312	3.9312	NUM
m-832	263	91	3.8872	3.8872	NUM
m-832	263	92	1.2358	1.2358	NUM
m-832	263	93	-9.867	-9.867	PUNCT
m-832	263	94	1.8127	1.8127	NUM
m-832	263	95	2.0487	2.0487	NUM
m-832	263	96	3.8663	3.8663	NUM
m-832	263	97	-10	-10	SYM
m-832	263	98	3	3	NUM
m-832	263	99	4.1209	4.1209	NUM
m-832	263	100	3.7371	3.7371	NUM
m-832	263	101	3.6112	3.6112	NUM
m-832	263	102	1.7882	1.7882	NUM
m-832	263	103	2.2721	2.2721	NUM
m-832	263	104	1.1636	1.1636	NUM
m-832	263	105	1.4041	1.4041	NUM
m-832	263	106	3.6961	3.6961	NUM
m-832	263	107	-3x10	-3x10	SYM
m-832	263	108	3	3	NUM
m-832	263	109	5.7866	5.7866	NUM
m-832	263	110	3.9729	3.9729	NUM
m-832	263	111	3.9265	3.9265	NUM
m-832	263	112	1.5031	1.5031	NUM
m-832	263	113	1.7107	1.7107	NUM
m-832	263	114	1.4549	1.4549	NUM
m-832	263	115	1.6752	1.6752	NUM
m-832	263	116	3.9381	3.9381	NUM
m-832	263	117	-5x10	-5x10	SYM
m-832	263	118	3	3	NUM
m-832	263	119	2.6557	2.6557	NUM
m-832	263	120	3.9271	3.9271	NUM
m-832	263	121	3.8852	3.8852	NUM
m-832	263	122	0.8944	0.8944	NUM
m-832	263	123	-10.557	-10.557	PUNCT
m-832	263	124	1.8103	1.8103	NUM
m-832	263	125	2.0461	2.0461	NUM
m-832	263	126	3.8624	3.8624	NUM
m-832	263	127	i	i	NOUN
m-832	263	128	ii	ii	PROPN
m-832	263	129	iii	iii	NUM
m-832	263	130	iv	iv	NUM
m-832	263	131	v	v	PROPN
m-832	263	132	vi	vi	PROPN
m-832	263	133	vii	vii	PROPN
m-832	263	134	viii	viii	PROPN
m-832	264	1	d	d	PROPN
m-832	264	2	1	1	NUM
m-832	264	3	10	10	NUM
m-832	264	4	3	3	NUM
m-832	264	5	2x10	2x10	NUM
m-832	264	6	3	3	NUM
m-832	264	7	3x10	3x10	NUM
m-832	264	8	3	3	NUM
m-832	264	9	10	10	NUM
m-832	264	10	3	3	NUM
m-832	264	11	10	10	NUM
m-832	264	12	3	3	NUM
m-832	264	13	10	10	NUM
m-832	264	14	3	3	NUM
m-832	264	15	10	10	NUM
m-832	264	16	3	3	NUM
m-832	264	17	10	10	NUM
m-832	264	18	3	3	NUM
m-832	264	19			NUM
m-832	264	20	5	5	NUM
m-832	264	21	5	5	NUM
m-832	264	22	5	5	NUM
m-832	264	23	15	15	NUM
m-832	264	24	5	5	NUM
m-832	264	25	5	5	NUM
m-832	264	26	5	5	NUM
m-832	264	27	5	5	NUM
m-832	264	28			NOUN
m-832	264	29	2	2	NUM
m-832	264	30	2	2	NUM
m-832	264	31	2	2	NUM
m-832	264	32	2	2	NUM
m-832	264	33	5	5	NUM
m-832	264	34	-2	-2	NOUN
m-832	264	35	-5	-5	NOUN
m-832	264	36	2	2	NUM
m-832	264	37	m	m	NOUN
m-832	264	38	2	2	NUM
m-832	264	39	2	2	NUM
m-832	264	40	2	2	NUM
m-832	264	41	2	2	NUM
m-832	264	42	2	2	NUM
m-832	264	43	2	2	NUM
m-832	264	44	2	2	NUM
m-832	264	45	4	4	NUM
m-832	264	46	the	the	DET
m-832	264	47	shear	shear	NOUN
m-832	264	48	stress	stress	NOUN
m-832	264	49	(	(	PUNCT
m-832	264	50			PROPN
m-832	264	51	)	)	PUNCT
m-832	264	52	and	and	CCONJ
m-832	264	53	the	the	DET
m-832	264	54	average	average	ADJ
m-832	264	55	nusselt	nusselt	NOUN
m-832	264	56	number	number	NOUN
m-832	264	57	(	(	PUNCT
m-832	264	58	nu	nu	NOUN
m-832	264	59	)	)	PUNCT
m-832	264	60	on	on	ADP
m-832	264	61	the	the	DET
m-832	264	62	boundaries	boundary	NOUN
m-832	264	63	(	(	PUNCT
m-832	264	64	y=	y=	NUM
m-832	264	65	1	1	NUM
m-832	264	66	)	)	PUNCT
m-832	264	67	have	have	AUX
m-832	264	68	been	be	AUX
m-832	264	69	evaluated	evaluate	VERB
m-832	264	70	for	for	ADP
m-832	264	71	different	different	ADJ
m-832	264	72	parameters	parameter	NOUN
m-832	264	73	and	and	CCONJ
m-832	264	74	are	be	AUX
m-832	264	75	given	give	VERB
m-832	264	76	in	in	ADP
m-832	264	77	tables	table	NOUN
m-832	264	78	(	(	PUNCT
m-832	264	79	1)-(4	1)-(4	NUM
m-832	264	80	)	)	PUNCT
m-832	264	81	.	.	PUNCT
m-832	265	1	the	the	DET
m-832	265	2	shear	shear	NOUN
m-832	265	3	stress	stress	NOUN
m-832	265	4	is	be	AUX
m-832	265	5	positive	positive	ADJ
m-832	265	6	at	at	ADP
m-832	265	7	y	y	PROPN
m-832	265	8	=	=	PUNCT
m-832	265	9	-1	-1	PUNCT
m-832	265	10	and	and	CCONJ
m-832	265	11	negative	negative	ADJ
m-832	265	12	at	at	ADP
m-832	265	13	y	y	PROPN
m-832	265	14	=	=	SYM
m-832	265	15	1	1	X
m-832	265	16	.	.	PUNCT
m-832	266	1	it	it	PRON
m-832	266	2	is	be	AUX
m-832	266	3	found	find	VERB
m-832	266	4	that	that	SCONJ
m-832	266	5			NOUN
m-832	266	6	is	be	AUX
m-832	266	7	observed	observe	VERB
m-832	266	8	to	to	PART
m-832	266	9	increase	increase	VERB
m-832	266	10	with	with	ADP
m-832	266	11	an	an	DET
m-832	266	12	increase	increase	NOUN
m-832	266	13	in	in	ADP
m-832	266	14	g	g	NOUN
m-832	266	15	fixing	fix	VERB
m-832	266	16	the	the	DET
m-832	266	17	other	other	ADJ
m-832	266	18	parameters	parameter	NOUN
m-832	266	19	.	.	PUNCT
m-832	267	1	higher	high	ADJ
m-832	267	2	the	the	DET
m-832	267	3	permeability	permeability	NOUN
m-832	267	4	of	of	ADP
m-832	267	5	the	the	DET
m-832	267	6	medium	medium	NOUN
m-832	267	7	larger	large	ADJ
m-832	267	8	the	the	DET
m-832	267	9	shear	shear	NOUN
m-832	267	10	stress	stress	NOUN
m-832	267	11	at	at	ADP
m-832	267	12	both	both	CCONJ
m-832	267	13	the	the	DET
m-832	267	14	boundaries	boundary	NOUN
m-832	267	15	.	.	PUNCT
m-832	268	1	with	with	ADP
m-832	268	2	reference	reference	NOUN
m-832	268	3	to	to	ADP
m-832	268	4			NOUN
m-832	268	5	we	we	PRON
m-832	268	6	find	find	VERB
m-832	268	7	that	that	SCONJ
m-832	268	8			NOUN
m-832	268	9	increases	increase	VERB
m-832	268	10	for	for	ADP
m-832	268	11	an	an	DET
m-832	268	12	increase	increase	NOUN
m-832	268	13	in	in	ADP
m-832	268	14			NOUN
m-832	268	15	for	for	ADP
m-832	268	16	all	all	DET
m-832	268	17	g	g	NOUN
m-832	268	18	(	(	PUNCT
m-832	268	19	tables	table	NOUN
m-832	268	20	1	1	NUM
m-832	268	21	&	&	CCONJ
m-832	268	22	2	2	NUM
m-832	268	23	)	)	PUNCT
m-832	268	24	.	.	PUNCT
m-832	269	1	the	the	DET
m-832	269	2	average	average	ADJ
m-832	269	3	nusselt	nusselt	NOUN
m-832	269	4	number	number	NOUN
m-832	269	5	measures	measure	VERB
m-832	269	6	the	the	DET
m-832	269	7	local	local	ADJ
m-832	269	8	rate	rate	NOUN
m-832	269	9	of	of	ADP
m-832	269	10	heat	heat	NOUN
m-832	269	11	transfer	transfer	NOUN
m-832	269	12	across	across	ADP
m-832	269	13	the	the	DET
m-832	269	14	boundary	boundary	NOUN
m-832	269	15	.	.	PUNCT
m-832	270	1	we	we	PRON
m-832	270	2	find	find	VERB
m-832	270	3	from	from	ADP
m-832	270	4	(	(	PUNCT
m-832	270	5	tables.3	tables.3	PROPN
m-832	270	6	&	&	CCONJ
m-832	270	7	4	4	NUM
m-832	270	8	)	)	PUNCT
m-832	270	9	that	that	SCONJ
m-832	270	10	the	the	DET
m-832	270	11	average	average	ADJ
m-832	270	12	nusselt	nusselt	NOUN
m-832	270	13	number	number	NOUN
m-832	270	14	is	be	AUX
m-832	270	15	positive	positive	ADJ
m-832	270	16	at	at	ADP
m-832	270	17	y	y	PROPN
m-832	270	18	=	=	SYM
m-832	270	19	1	1	NUM
m-832	270	20	and	and	CCONJ
m-832	270	21	negative	negative	ADJ
m-832	270	22	at	at	ADP
m-832	270	23	y	y	PROPN
m-832	270	24	=	=	PUNCT
m-832	270	25	-1	-1	ADP
m-832	270	26	for	for	ADP
m-832	270	27	all	all	DET
m-832	270	28	variations	variation	NOUN
m-832	270	29	.	.	PUNCT
m-832	271	1	the	the	DET
m-832	271	2	magnitude	magnitude	NOUN
m-832	271	3	of	of	ADP
m-832	271	4	nu	nu	PROPN
m-832	271	5	at	at	ADP
m-832	271	6	y=	y=	NUM
m-832	271	7			PROPN
m-832	271	8	1	1	NUM
m-832	271	9	increases	increase	NOUN
m-832	271	10	with	with	ADP
m-832	271	11	an	an	DET
m-832	271	12	increase	increase	NOUN
m-832	271	13	in	in	ADP
m-832	271	14	g	g	PROPN
m-832	271	15	>	>	X
m-832	271	16	0	0	PUNCT
m-832	271	17	and	and	CCONJ
m-832	271	18	decreases	decrease	VERB
m-832	271	19	with	with	ADP
m-832	271	20	g<0	g<0	NOUN
m-832	271	21	fixing	fix	VERB
m-832	271	22	the	the	DET
m-832	271	23	other	other	ADJ
m-832	271	24	paramerters	paramerter	NOUN
m-832	271	25	.	.	PUNCT
m-832	272	1	in	in	ADP
m-832	272	2	axial	axial	ADJ
m-832	272	3	heating	heating	NOUN
m-832	272	4	case	case	NOUN
m-832	272	5	nu	nu	INTJ
m-832	272	6	decreases	decrease	VERB
m-832	272	7	with	with	ADP
m-832	272	8	r	r	NOUN
m-832	272	9	and	and	CCONJ
m-832	272	10	enhances	enhance	NOUN
m-832	272	11	with	with	ADP
m-832	272	12	d-1	d-1	NOUN
m-832	272	13	while	while	SCONJ
m-832	272	14	a	a	DET
m-832	272	15	reversed	reversed	ADJ
m-832	272	16	effect	effect	NOUN
m-832	272	17	is	be	AUX
m-832	272	18	observed	observe	VERB
m-832	272	19	in	in	ADP
m-832	272	20	the	the	DET
m-832	272	21	case	case	NOUN
m-832	272	22	of	of	ADP
m-832	272	23	axial	axial	ADJ
m-832	272	24	cooling	cooling	NOUN
m-832	272	25	.	.	PUNCT
m-832	273	1	the	the	DET
m-832	273	2	rate	rate	NOUN
m-832	273	3	of	of	ADP
m-832	273	4	heat	heat	NOUN
m-832	273	5	transfer	transfer	NOUN
m-832	273	6	(	(	PUNCT
m-832	273	7	nu	nu	NOUN
m-832	273	8	)	)	PUNCT
m-832	273	9	declines	decline	VERB
m-832	273	10	with	with	ADP
m-832	273	11	an	an	DET
m-832	273	12	increase	increase	NOUN
m-832	273	13	in	in	ADP
m-832	273	14	the	the	DET
m-832	273	15	amplitude	amplitude	NOUN
m-832	273	16			NOUN
m-832	273	17	of	of	ADP
m-832	273	18	the	the	DET
m-832	273	19	boundary	boundary	ADJ
m-832	273	20	temperature	temperature	NOUN
m-832	273	21	(	(	PUNCT
m-832	273	22	tables.3&4	tables.3&4	NUM
m-832	273	23	)	)	PUNCT
m-832	273	24	.	.	PUNCT
m-832	274	1	i	i	PRON
m-832	274	2	ii	ii	VERB
m-832	274	3	iii	iii	NUM
m-832	274	4	iv	iv	NUM
m-832	274	5	v	v	PROPN
m-832	274	6	vi	vi	PROPN
m-832	274	7	vii	vii	PROPN
m-832	274	8	viii	viii	PROPN
m-832	275	1	d	d	PROPN
m-832	275	2	1	1	NUM
m-832	275	3	10	10	NUM
m-832	275	4	3	3	NUM
m-832	275	5	2x10	2x10	NUM
m-832	275	6	3	3	NUM
m-832	275	7	3x10	3x10	NUM
m-832	275	8	3	3	NUM
m-832	275	9	10	10	NUM
m-832	275	10	3	3	NUM
m-832	275	11	10	10	NUM
m-832	275	12	3	3	NUM
m-832	275	13	10	10	NUM
m-832	275	14	3	3	NUM
m-832	275	15	10	10	NUM
m-832	275	16	3	3	NUM
m-832	275	17	10	10	NUM
m-832	275	18	3	3	NUM
m-832	275	19			NUM
m-832	275	20	5	5	NUM
m-832	275	21	5	5	NUM
m-832	275	22	5	5	NUM
m-832	275	23	15	15	NUM
m-832	275	24	5	5	NUM
m-832	275	25	5	5	NUM
m-832	275	26	5	5	NUM
m-832	275	27	5	5	NUM
m-832	275	28			NOUN
m-832	275	29	2	2	NUM
m-832	275	30	2	2	NUM
m-832	275	31	2	2	NUM
m-832	275	32	2	2	NUM
m-832	275	33	5	5	NUM
m-832	275	34	-2	-2	NOUN
m-832	275	35	-5	-5	NOUN
m-832	275	36	2	2	NUM
m-832	275	37	m	m	NOUN
m-832	275	38	2	2	NUM
m-832	275	39	2	2	NUM
m-832	275	40	2	2	NUM
m-832	275	41	2	2	NUM
m-832	275	42	2	2	NUM
m-832	275	43	2	2	NUM
m-832	275	44	2	2	NUM
m-832	275	45	4	4	NUM
m-832	275	46	g	g	NOUN
m-832	275	47	i	i	PRON
m-832	275	48	ii	ii	PROPN
m-832	275	49	iii	iii	NUM
m-832	275	50	iv	iv	NUM
m-832	275	51	v	v	PROPN
m-832	275	52	vi	vi	PROPN
m-832	275	53	vii	vii	PROPN
m-832	275	54	viii	viii	PROPN
m-832	275	55	10	10	NUM
m-832	275	56	3	3	NUM
m-832	275	57	-0.9304	-0.9304	NOUN
m-832	275	58	-1.2347	-1.2347	ADJ
m-832	275	59	-1.6751	-1.6751	PUNCT
m-832	276	1	-0.7476	-0.7476	PROPN
m-832	276	2	-1.0113	-1.0113	PROPN
m-832	276	3	-5.6211	-5.6211	PROPN
m-832	277	1	-1.6412	-1.6412	PROPN
m-832	277	2	-1.3149	-1.3149	VERB
m-832	277	3	3x10	3x10	NUM
m-832	277	4	3	3	NUM
m-832	277	5	-0.6146	-0.6146	NOUN
m-832	277	6	-0.9777	-0.9777	NOUN
m-832	277	7	-1.3334	-1.3334	PUNCT
m-832	278	1	-0.5734	-0.5734	PROPN
m-832	279	1	-0.6634	-0.6634	PROPN
m-832	279	2	-3.9777	-3.9777	PROPN
m-832	280	1	-3.0481	-3.0481	ADJ
m-832	280	2	-1.0412	-1.0412	PROPN
m-832	280	3	5x10	5x10	NUM
m-832	280	4	3	3	NUM
m-832	280	5	0.2125	0.2125	NUM
m-832	280	6	-0.7692	-0.7692	NOUN
m-832	280	7	-1.2206	-1.2206	NOUN
m-832	280	8	-0.2668	-0.2668	VERB
m-832	280	9	0.5107	0.5107	NUM
m-832	280	10	-3.5075	-3.5075	NOUN
m-832	281	1	-2.7442	-2.7442	NOUN
m-832	281	2	-0.8637	-0.8637	NUM
m-832	281	3	-10	-10	PUNCT
m-832	282	1	3	3	NUM
m-832	282	2	-0.9312	-0.9312	NOUN
m-832	282	3	-1.2373	-1.2373	NOUN
m-832	282	4	-1.6772	-1.6772	NOUN
m-832	282	5	-0.7435	-0.7435	PROPN
m-832	282	6	-1.0099	-1.0099	PROPN
m-832	282	7	-3.1893	-3.1893	PROPN
m-832	282	8	-1.6391	-1.6391	PROPN
m-832	283	1	-1.3176	-1.3176	PROPN
m-832	283	2	-3x10	-3x10	PRON
m-832	283	3	3	3	NUM
m-832	283	4	-0.6105	-0.6105	NOUN
m-832	283	5	-0.9761	-0.9761	PROPN
m-832	283	6	-1.3324	-1.3324	X
m-832	284	1	-0.5467	-0.5467	PROPN
m-832	284	2	-0.6578	-0.6578	PUNCT
m-832	284	3	-5.5872	-5.5872	PROPN
m-832	285	1	-2.0022	-2.0022	PROPN
m-832	285	2	-1.0398	-1.0398	PROPN
m-832	286	1	-5x10	-5x10	PUNCT
m-832	286	2	3	3	NUM
m-832	286	3	0.2239	0.2239	NUM
m-832	286	4	-0.7658	-0.7658	NOUN
m-832	286	5	-1.2185	-1.2185	X
m-832	286	6	-0.1927	-0.1927	PUNCT
m-832	287	1	0.5286	0.5286	NUM
m-832	287	2	-3.9744	-3.9744	ADJ
m-832	287	3	-2.3682	-2.3682	NOUN
m-832	287	4	-0.8607	-0.8607	PROPN
m-832	287	5	ijo	ijo	PROPN
m-832	287	6	journals	journal	NOUN
m-832	287	7	volume	volume	NOUN
m-832	287	8	07	07	NUM
m-832	287	9	|	|	ADV
m-832	287	10	issue	issue	NOUN
m-832	287	11	04	04	NUM
m-832	288	1	|	|	CCONJ
m-832	288	2	april	april	PROPN
m-832	288	3	2024	2024	NUM
m-832	289	1	|	|	ADV
m-832	289	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	289	3	12	12	NUM
m-832	289	4	ijo	ijo	PROPN
m-832	289	5	international	international	PROPN
m-832	289	6	journal	journal	PROPN
m-832	289	7	of	of	ADP
m-832	289	8	mathematics	mathematics	PROPN
m-832	289	9	(	(	PUNCT
m-832	289	10	issn	issn	PROPN
m-832	289	11	:	:	PUNCT
m-832	289	12	2992	2992	NUM
m-832	289	13	-	-	SYM
m-832	289	14	4421	4421	NUM
m-832	289	15	)	)	PUNCT
m-832	290	1	prakasha.p1	prakasha.p1	PROPN
m-832	290	2	*	*	PUNCT
m-832	290	3	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-832	290	4	volume	volume	NOUN
m-832	290	5	07	07	NUM
m-832	290	6	issue	issue	NOUN
m-832	290	7	04	04	NUM
m-832	290	8	||	||	NOUN
m-832	290	9	april	april	PROPN
m-832	290	10	,	,	PUNCT
m-832	290	11	2024	2024	NUM
m-832	290	12	||	||	NOUN
m-832	290	13	mathematical	mathematical	ADJ
m-832	290	14	analysis	analysis	NOUN
m-832	290	15	of	of	ADP
m-832	290	16	effect	effect	NOUN
m-832	290	17	of	of	ADP
m-832	290	18	viscous	viscous	ADJ
m-832	290	19	dissipation	dissipation	NOUN
m-832	290	20	on	on	ADP
m-832	290	21	transient	transient	ADJ
m-832	290	22	mhd	mhd	PROPN
m-832	290	23	convective	convective	ADJ
m-832	290	24	heat	heat	NOUN
m-832	290	25	transfer	transfer	NOUN
m-832	290	26	through	through	ADP
m-832	290	27	a	a	DET
m-832	290	28	porous	porous	ADJ
m-832	290	29	medium	medium	NOUN
m-832	290	30	in	in	ADP
m-832	290	31	a	a	DET
m-832	290	32	vertical	vertical	ADJ
m-832	290	33	channel	channel	NOUN
m-832	290	34	6.references	6.references	NUM
m-832	290	35	[	[	X
m-832	290	36	1	1	NUM
m-832	290	37	]	]	X
m-832	290	38	barletta	barletta	PROPN
m-832	290	39	,	,	PUNCT
m-832	290	40	antonio	antonio	PROPN
m-832	290	41	,	,	PUNCT
m-832	290	42	laminar	laminar	ADJ
m-832	290	43	mixed	mixed	ADJ
m-832	290	44	convection	convection	NOUN
m-832	290	45	with	with	ADP
m-832	290	46	viscous	viscous	ADJ
m-832	290	47	dissipation	dissipation	NOUN
m-832	290	48	in	in	ADP
m-832	290	49	a	a	DET
m-832	290	50	vertical	vertical	ADJ
m-832	290	51	channel	channel	NOUN
m-832	290	52	.	.	PUNCT
m-832	290	53	,	,	PUNCT
m-832	290	54	int.j.heat	int.j.heat	NOUN
m-832	290	55	and	and	CCONJ
m-832	290	56	mass	mass	ADJ
m-832	290	57	transfer,41,no.22,pp.3501	transfer,41,no.22,pp.3501	NOUN
m-832	290	58	-	-	PUNCT
m-832	290	59	3513,(1998	3513,(1998	NUM
m-832	290	60	)	)	PUNCT
m-832	290	61	.	.	PUNCT
m-832	291	1	[	[	X
m-832	291	2	2	2	NUM
m-832	291	3	]	]	X
m-832	291	4	barletta	barletta	PROPN
m-832	291	5	,	,	PUNCT
m-832	291	6	antonio	antonio	PROPN
m-832	291	7	,	,	PUNCT
m-832	291	8	combined	combine	VERB
m-832	291	9	forced	force	VERB
m-832	291	10	and	and	CCONJ
m-832	291	11	free	free	ADJ
m-832	291	12	convection	convection	NOUN
m-832	291	13	with	with	ADP
m-832	291	14	viscous	viscous	ADJ
m-832	291	15	dissipation	dissipation	NOUN
m-832	291	16	in	in	ADP
m-832	291	17	a	a	DET
m-832	291	18	vertical	vertical	ADJ
m-832	291	19	circular	circular	ADJ
m-832	291	20	duct	duct	NOUN
m-832	291	21	.	.	PUNCT
m-832	291	22	,	,	PUNCT
m-832	291	23	int.j.heat	int.j.heat	NOUN
m-832	291	24	and	and	CCONJ
m-832	291	25	mass	mass	ADJ
m-832	291	26	transfer,42,no.12,pp.2243	transfer,42,no.12,pp.2243	NOUN
m-832	291	27	-	-	PUNCT
m-832	291	28	2253,(1999	2253,(1999	NUM
m-832	291	29	)	)	PUNCT
m-832	291	30	.	.	PUNCT
m-832	292	1	[	[	X
m-832	292	2	3	3	X
m-832	292	3	]	]	PUNCT
m-832	292	4	bulent	bulent	NOUN
m-832	292	5	yesilata	yesilata	NOUN
m-832	292	6	,	,	PUNCT
m-832	292	7	effect	effect	NOUN
m-832	292	8	of	of	ADP
m-832	292	9	viscous	viscous	ADJ
m-832	292	10	dissipation	dissipation	NOUN
m-832	292	11	on	on	ADP
m-832	292	12	polymeric	polymeric	ADJ
m-832	292	13	flows	flow	NOUN
m-832	292	14	between	between	ADP
m-832	292	15	two	two	NUM
m-832	292	16	rotating	rotate	VERB
m-832	292	17	coaxial	coaxial	ADJ
m-832	292	18	parallel	parallel	ADJ
m-832	292	19	discs	disc	NOUN
m-832	292	20	.	.	PUNCT
m-832	292	21	,	,	PUNCT
m-832	292	22	int.comm	int.comm	PROPN
m-832	292	23	.	.	PUNCT
m-832	292	24	heat	heat	NOUN
m-832	292	25	and	and	CCONJ
m-832	292	26	mass	mass	NOUN
m-832	292	27	transfer	transfer	NOUN
m-832	292	28	,	,	PUNCT
m-832	292	29	29	29	NUM
m-832	292	30	,	,	PUNCT
m-832	292	31	no.29	no.29	PRON
m-832	292	32	,	,	PUNCT
m-832	292	33	no.5	no.5	PROPN
m-832	292	34	,	,	PUNCT
m-832	292	35	pp.589600,(2002	pp.589600,(2002	NOUN
m-832	292	36	)	)	PUNCT
m-832	292	37	.	.	PUNCT
m-832	293	1	[	[	X
m-832	293	2	4	4	NUM
m-832	293	3	]	]	X
m-832	293	4	el	el	PROPN
m-832	293	5	-	-	PUNCT
m-832	293	6	hakein	hakein	PROPN
m-832	293	7	,	,	PUNCT
m-832	293	8	m.a	m.a	PROPN
m-832	293	9	.	.	PROPN
m-832	293	10	,	,	PUNCT
m-832	293	11	viscous	viscous	ADJ
m-832	293	12	dissipation	dissipation	NOUN
m-832	293	13	effects	effect	NOUN
m-832	293	14	on	on	ADP
m-832	293	15	mhd	mhd	NOUN
m-832	293	16	free	free	ADJ
m-832	293	17	convection	convection	NOUN
m-832	293	18	flow	flow	NOUN
m-832	293	19	over	over	ADP
m-832	293	20	a	a	DET
m-832	293	21	nonisothermal	nonisothermal	NOUN
m-832	293	22	surface	surface	NOUN
m-832	293	23	in	in	ADP
m-832	293	24	a	a	DET
m-832	293	25	micropolar	micropolar	ADJ
m-832	293	26	fluid	fluid	NOUN
m-832	293	27	.	.	PUNCT
m-832	294	1	int.comm.heat	int.comm.heat	NOUN
m-832	294	2	and	and	CCONJ
m-832	294	3	mass	mass	ADJ
m-832	294	4	transfer	transfer	NOUN
m-832	294	5	,	,	PUNCT
m-832	294	6	27	27	NUM
m-832	294	7	,	,	PUNCT
m-832	294	8	no,4	no,4	PROPN
m-832	294	9	pp.581590,(2000	pp.581590,(2000	PROPN
m-832	294	10	)	)	PUNCT
m-832	294	11	.	.	PUNCT
m-832	295	1	[	[	X
m-832	295	2	5	5	X
m-832	295	3	]	]	X
m-832	295	4	israel	israel	PROPN
m-832	295	5	-	-	PUNCT
m-832	295	6	cookey	cookey	PROPN
m-832	295	7	,	,	PUNCT
m-832	295	8	c.	c.	NOUN
m-832	295	9	,	,	PUNCT
m-832	295	10	influence	influence	NOUN
m-832	295	11	of	of	ADP
m-832	295	12	viscous	viscous	ADJ
m-832	295	13	dissipation	dissipation	NOUN
m-832	295	14	and	and	CCONJ
m-832	295	15	radiation	radiation	NOUN
m-832	295	16	on	on	ADP
m-832	295	17	unsteady	unsteady	ADJ
m-832	295	18	mhd	mhd	NOUN
m-832	295	19	free	free	ADJ
m-832	295	20	convection	convection	NOUN
m-832	295	21	flow	flow	NOUN
m-832	295	22	past	past	ADP
m-832	295	23	an	an	DET
m-832	295	24	infinite	infinite	ADJ
m-832	295	25	heated	heat	VERB
m-832	295	26	vertical	vertical	ADJ
m-832	295	27	plate	plate	NOUN
m-832	295	28	in	in	ADP
m-832	295	29	a	a	DET
m-832	295	30	porous	porous	ADJ
m-832	295	31	medium	medium	NOUN
m-832	295	32	with	with	ADP
m-832	295	33	time	time	NOUN
m-832	295	34	-	-	PUNCT
m-832	295	35	dependent	dependent	ADJ
m-832	295	36	suction	suction	NOUN
m-832	295	37	.	.	PUNCT
m-832	296	1	,int.j.heat	,int.j.heat	NOUN
m-832	296	2	and	and	CCONJ
m-832	296	3	mass	mass	NOUN
m-832	296	4	transfer,46,no.13,pp.2305	transfer,46,no.13,pp.2305	NOUN
m-832	296	5	-	-	PUNCT
m-832	296	6	2311,(2003	2311,(2003	NUM
m-832	296	7	)	)	PUNCT
m-832	296	8	.	.	PUNCT
m-832	297	1	[	[	X
m-832	297	2	6	6	NUM
m-832	297	3	]	]	X
m-832	297	4	rossie	rossie	PROPN
m-832	297	5	di	di	PROPN
m-832	297	6	schio	schio	PROPN
m-832	297	7	,	,	PUNCT
m-832	297	8	baletta	baletta	NUM
m-832	297	9	,	,	PUNCT
m-832	297	10	a	a	PRON
m-832	297	11	,	,	PUNCT
m-832	297	12	hahne	hahne	PROPN
m-832	297	13	,	,	PUNCT
m-832	297	14	e	e	NOUN
m-832	297	15	and	and	CCONJ
m-832	297	16	spindler	spindler	PROPN
m-832	297	17	,	,	PUNCT
m-832	297	18	k	k	PROPN
m-832	297	19	,	,	PUNCT
m-832	297	20	analysis	analysis	NOUN
m-832	297	21	of	of	ADP
m-832	297	22	the	the	DET
m-832	297	23	effect	effect	NOUN
m-832	297	24	of	of	ADP
m-832	297	25	viscous	viscous	ADJ
m-832	297	26	dissipation	dissipation	NOUN
m-832	297	27	for	for	ADP
m-832	297	28	laminar	laminar	ADJ
m-832	297	29	flow	flow	NOUN
m-832	297	30	in	in	ADP
m-832	297	31	stadium	stadium	ADJ
m-832	297	32	–	–	PUNCT
m-832	297	33	shaped	shape	VERB
m-832	297	34	ducts	duct	NOUN
m-832	297	35	,	,	PUNCT
m-832	297	36	int.comm.heat	int.comm.heat	DET
m-832	297	37	mass	mass	NOUN
m-832	297	38	transfer,28	transfer,28	NOUN
m-832	297	39	,	,	PUNCT
m-832	297	40	no.4	no.4	PROPN
m-832	297	41	,	,	PUNCT
m-832	297	42	pp.449	pp.449	PROPN
m-832	297	43	-	-	PUNCT
m-832	297	44	459,(2001	459,(2001	PROPN
m-832	297	45	)	)	PUNCT
m-832	297	46	.	.	PUNCT
m-832	298	1	[	[	X
m-832	298	2	7	7	NUM
m-832	298	3	]	]	X
m-832	298	4	chen	chen	PROPN
m-832	298	5	,	,	PUNCT
m-832	298	6	c.	c.	PROPN
m-832	298	7	h.	h.	PROPN
m-832	298	8	laminar	laminar	PROPN
m-832	298	9	mixed	mixed	ADJ
m-832	298	10	convection	convection	NOUN
m-832	298	11	adjacent	adjacent	ADJ
m-832	298	12	to	to	AUX
m-832	298	13	vertical	vertical	ADJ
m-832	298	14	,	,	PUNCT
m-832	298	15	continuously	continuously	ADV
m-832	298	16	stretching	stretch	VERB
m-832	298	17	sheets	sheet	NOUN
m-832	298	18	.	.	PUNCT
m-832	299	1	heat	heat	NOUN
m-832	299	2	and	and	CCONJ
m-832	299	3	mass	mass	NOUN
m-832	299	4	transfer	transfer	NOUN
m-832	299	5	,	,	PUNCT
m-832	299	6	33(5	33(5	NOUN
m-832	299	7	-	-	SYM
m-832	299	8	6	6	NUM
m-832	299	9	)	)	PUNCT
m-832	299	10	,	,	PUNCT
m-832	299	11	471–476	471–476	PROPN
m-832	299	12	(	(	PUNCT
m-832	299	13	1998	1998	NUM
m-832	299	14	)	)	PUNCT
m-832	300	1	[	[	X
m-832	300	2	8	8	NUM
m-832	300	3	]	]	X
m-832	300	4	elbashbeshy	elbashbeshy	NOUN
m-832	300	5	,	,	PUNCT
m-832	300	6	e.	e.	PROPN
m-832	300	7	m.	m.	PROPN
m-832	300	8	a.	a.	PROPN
m-832	300	9	and	and	CCONJ
m-832	300	10	bazid	bazid	PROPN
m-832	300	11	,	,	PUNCT
m-832	300	12	m.	m.	PROPN
m-832	300	13	a.	a.	NOUN
m-832	300	14	a.	a.	NOUN
m-832	300	15	heat	heat	NOUN
m-832	300	16	transfer	transfer	NOUN
m-832	300	17	over	over	ADP
m-832	300	18	an	an	DET
m-832	300	19	unsteady	unsteady	ADJ
m-832	300	20	stretching	stretch	VERB
m-832	300	21	surface.heat	surface.heat	NUM
m-832	300	22	and	and	CCONJ
m-832	300	23	mass	mass	NOUN
m-832	300	24	transfer	transfer	NOUN
m-832	300	25	,	,	PUNCT
m-832	300	26	41(1	41(1	NUM
m-832	300	27	)	)	PUNCT
m-832	300	28	,	,	PUNCT
m-832	300	29	1–4	1–4	PROPN
m-832	300	30	(	(	PUNCT
m-832	300	31	2004	2004	NUM
m-832	300	32	)	)	PUNCT
m-832	301	1	[	[	X
m-832	301	2	9	9	NUM
m-832	301	3	]	]	SYM
m-832	301	4	sharidan	sharidan	PROPN
m-832	301	5	,	,	PUNCT
m-832	301	6	s.	s.	PROPN
m-832	301	7	,	,	PUNCT
m-832	301	8	mahmood	mahmood	PROPN
m-832	301	9	,	,	PUNCT
m-832	301	10	t.	t.	PROPN
m-832	301	11	,	,	PUNCT
m-832	301	12	and	and	CCONJ
m-832	301	13	pop	pop	NOUN
m-832	301	14	,	,	PUNCT
m-832	301	15	i.	i.	NOUN
m-832	301	16	similarity	similarity	NOUN
m-832	301	17	solutions	solution	NOUN
m-832	301	18	for	for	ADP
m-832	301	19	the	the	DET
m-832	301	20	unsteady	unsteady	ADJ
m-832	301	21	boundary	boundary	ADJ
m-832	301	22	layer	layer	NOUN
m-832	301	23	flow	flow	NOUN
m-832	301	24	and	and	CCONJ
m-832	301	25	heat	heat	NOUN
m-832	301	26	transfer	transfer	NOUN
m-832	301	27	due	due	ADP
m-832	301	28	to	to	ADP
m-832	301	29	a	a	DET
m-832	301	30	stretching	stretch	VERB
m-832	301	31	sheet	sheet	NOUN
m-832	301	32	.	.	PUNCT
m-832	302	1	international	international	ADJ
m-832	302	2	journal	journal	PROPN
m-832	302	3	of	of	ADP
m-832	302	4	applied	apply	VERB
m-832	302	5	mechanics	mechanic	NOUN
m-832	302	6	and	and	CCONJ
m-832	302	7	engineering	engineering	NOUN
m-832	302	8	,	,	PUNCT
m-832	302	9	11(3	11(3	NUM
m-832	302	10	)	)	PUNCT
m-832	302	11	,	,	PUNCT
m-832	302	12	647–654	647–654	NUM
m-832	302	13	(	(	PUNCT
m-832	302	14	2006	2006	NUM
m-832	302	15	)	)	PUNCT
m-832	303	1	[	[	X
m-832	303	2	10	10	NUM
m-832	303	3	]	]	X
m-832	303	4	tsai	tsai	PROPN
m-832	303	5	,	,	PUNCT
m-832	303	6	r.	r.	PROPN
m-832	303	7	,	,	PUNCT
m-832	303	8	huang	huang	PROPN
m-832	303	9	,	,	PUNCT
m-832	303	10	k.	k.	PROPN
m-832	303	11	h.	h.	PROPN
m-832	303	12	,	,	PUNCT
m-832	303	13	and	and	CCONJ
m-832	303	14	huang	huang	PROPN
m-832	303	15	,	,	PUNCT
m-832	303	16	j.	j.	PROPN
m-832	303	17	s.	s.	PROPN
m-832	303	18	flow	flow	PROPN
m-832	303	19	and	and	CCONJ
m-832	303	20	heat	heat	NOUN
m-832	303	21	transfer	transfer	NOUN
m-832	303	22	over	over	ADP
m-832	303	23	an	an	DET
m-832	303	24	unsteady	unsteady	ADJ
m-832	303	25	stretching	stretch	VERB
m-832	303	26	surface	surface	NOUN
m-832	303	27	with	with	ADP
m-832	303	28	a	a	DET
m-832	303	29	non	non	ADJ
m-832	303	30	-	-	ADJ
m-832	303	31	uniform	uniform	ADJ
m-832	303	32	heat	heat	NOUN
m-832	303	33	source	source	NOUN
m-832	303	34	.	.	PUNCT
m-832	304	1	international	international	ADJ
m-832	304	2	communications	communication	NOUN
m-832	304	3	in	in	ADP
m-832	304	4	heat	heat	NOUN
m-832	304	5	and	and	CCONJ
m-832	304	6	mass	mass	ADJ
m-832	304	7	transfer,35(10	transfer,35(10	NOUN
m-832	304	8	)	)	PUNCT
m-832	304	9	,	,	PUNCT
m-832	304	10	1340–1343	1340–1343	NUM
m-832	304	11	(	(	PUNCT
m-832	304	12	2008	2008	NUM
m-832	304	13	)	)	PUNCT
m-832	305	1	[	[	X
m-832	305	2	11	11	NUM
m-832	305	3	]	]	X
m-832	305	4	ishak	ishak	NOUN
m-832	305	5	,	,	PUNCT
m-832	305	6	a.	a.	PROPN
m-832	305	7	,	,	PUNCT
m-832	305	8	nazar	nazar	PROPN
m-832	305	9	,	,	PUNCT
m-832	305	10	r.	r.	PROPN
m-832	305	11	,	,	PUNCT
m-832	305	12	and	and	CCONJ
m-832	305	13	pop	pop	NOUN
m-832	305	14	,	,	PUNCT
m-832	305	15	i.	i.	NOUN
m-832	305	16	hydromagnetic	hydromagnetic	ADJ
m-832	305	17	flow	flow	NOUN
m-832	305	18	and	and	CCONJ
m-832	305	19	heat	heat	NOUN
m-832	305	20	transfer	transfer	NOUN
m-832	305	21	adjacent	adjacent	ADJ
m-832	305	22	to	to	ADP
m-832	305	23	a	a	DET
m-832	305	24	stretching	stretch	VERB
m-832	305	25	vertical	vertical	ADJ
m-832	305	26	sheet	sheet	NOUN
m-832	305	27	.	.	PUNCT
m-832	306	1	heat	heat	NOUN
m-832	306	2	and	and	CCONJ
m-832	306	3	mass	mass	NOUN
m-832	306	4	transfer	transfer	NOUN
m-832	306	5	,	,	PUNCT
m-832	306	6	44(8	44(8	NOUN
m-832	306	7	)	)	PUNCT
m-832	306	8	,	,	PUNCT
m-832	306	9	921–927	921–927	NUM
m-832	306	10	(	(	PUNCT
m-832	306	11	2008	2008	NUM
m-832	306	12	)	)	PUNCT
m-832	307	1	[	[	X
m-832	307	2	12	12	NUM
m-832	307	3	]	]	X
m-832	307	4	aziz	aziz	PROPN
m-832	307	5	,	,	PUNCT
m-832	307	6	a.	a.	NOUN
m-832	307	7	a	a	DET
m-832	307	8	similarity	similarity	NOUN
m-832	307	9	solution	solution	NOUN
m-832	307	10	for	for	ADP
m-832	307	11	laminar	laminar	ADJ
m-832	307	12	thermal	thermal	ADJ
m-832	307	13	boundary	boundary	ADJ
m-832	307	14	layer	layer	NOUN
m-832	307	15	over	over	ADP
m-832	307	16	a	a	DET
m-832	307	17	flat	flat	ADJ
m-832	307	18	plate	plate	NOUN
m-832	307	19	with	with	ADP
m-832	307	20	a	a	DET
m-832	307	21	convective	convective	ADJ
m-832	307	22	surface	surface	NOUN
m-832	307	23	boundary	boundary	ADJ
m-832	307	24	condition	condition	NOUN
m-832	307	25	.	.	PUNCT
m-832	308	1	communications	communication	NOUN
m-832	308	2	in	in	ADP
m-832	308	3	nonlinear	nonlinear	ADJ
m-832	308	4	science	science	NOUN
m-832	308	5	and	and	CCONJ
m-832	308	6	numerical	numerical	PROPN
m-832	308	7	simulation,14(4	simulation,14(4	PROPN
m-832	308	8	)	)	PUNCT
m-832	308	9	,	,	PUNCT
m-832	308	10	1064–1068	1064–1068	NUM
m-832	308	11	(	(	PUNCT
m-832	308	12	2009	2009	NUM
m-832	308	13	)	)	PUNCT
m-832	309	1	[	[	X
m-832	309	2	13	13	NUM
m-832	309	3	]	]	X
m-832	309	4	chen	chen	PROPN
m-832	309	5	,	,	PUNCT
m-832	309	6	c.	c.	PROPN
m-832	309	7	h.	h.	PROPN
m-832	309	8	combined	combine	VERB
m-832	309	9	heat	heat	NOUN
m-832	309	10	and	and	CCONJ
m-832	309	11	mass	mass	NOUN
m-832	309	12	transfer	transfer	NOUN
m-832	309	13	in	in	ADP
m-832	309	14	mhd	mhd	NOUN
m-832	309	15	free	free	ADJ
m-832	309	16	convection	convection	NOUN
m-832	309	17	from	from	ADP
m-832	309	18	a	a	DET
m-832	309	19	vertical	vertical	ADJ
m-832	309	20	surface	surface	NOUN
m-832	309	21	with	with	ADP
m-832	309	22	ohmic	ohmic	ADJ
m-832	309	23	heating	heating	NOUN
m-832	309	24	and	and	CCONJ
m-832	309	25	viscous	viscous	ADJ
m-832	309	26	dissipation	dissipation	NOUN
m-832	309	27	.	.	PUNCT
m-832	310	1	international	international	ADJ
m-832	310	2	journal	journal	NOUN
m-832	310	3	of	of	ADP
m-832	310	4	engineering	engineering	NOUN
m-832	310	5	science	science	NOUN
m-832	310	6	,	,	PUNCT
m-832	310	7	42(7),699–713	42(7),699–713	PROPN
m-832	310	8	(	(	PUNCT
m-832	310	9	2004	2004	NUM
m-832	310	10	)	)	PUNCT
m-832	311	1	[	[	X
m-832	311	2	14	14	NUM
m-832	311	3	]	]	X
m-832	311	4	pal	pal	NOUN
m-832	311	5	,	,	PUNCT
m-832	311	6	d.	d.	PROPN
m-832	311	7	and	and	CCONJ
m-832	311	8	hiremath	hiremath	PROPN
m-832	311	9	,	,	PUNCT
m-832	311	10	p.	p.	PROPN
m-832	311	11	s.	s.	PROPN
m-832	312	1	computational	computational	ADJ
m-832	312	2	modelling	modelling	NOUN
m-832	312	3	of	of	ADP
m-832	312	4	heat	heat	NOUN
m-832	312	5	transfer	transfer	NOUN
m-832	312	6	over	over	ADP
m-832	312	7	an	an	DET
m-832	312	8	unsteady	unsteady	ADJ
m-832	312	9	stretching	stretch	VERB
m-832	312	10	surface	surface	NOUN
m-832	312	11	embedded	embed	VERB
m-832	312	12	in	in	ADP
m-832	312	13	a	a	DET
m-832	312	14	porous	porous	ADJ
m-832	312	15	medium	medium	NOUN
m-832	312	16	.	.	PUNCT
m-832	313	1	meccanica	meccanica	PROPN
m-832	313	2	,	,	PUNCT
m-832	313	3	45(3	45(3	NUM
m-832	313	4	)	)	PUNCT
m-832	313	5	,	,	PUNCT
m-832	313	6	415–424	415–424	NUM
m-832	313	7	(	(	PUNCT
m-832	313	8	2010	2010	NUM
m-832	313	9	)	)	PUNCT
m-832	314	1	[	[	X
m-832	314	2	15	15	NUM
m-832	314	3	]	]	X
m-832	314	4	veena	veena	NOUN
m-832	314	5	,	,	PUNCT
m-832	314	6	p.	p.	PROPN
m-832	314	7	h.	h.	PROPN
m-832	314	8	,	,	PUNCT
m-832	314	9	subhas	subha	NOUN
m-832	314	10	-	-	PUNCT
m-832	314	11	abel	abel	PROPN
m-832	314	12	,	,	PUNCT
m-832	314	13	m.	m.	NOUN
m-832	314	14	,	,	PUNCT
m-832	314	15	rajagopal	rajagopal	NOUN
m-832	314	16	,	,	PUNCT
m-832	314	17	k.	k.	PROPN
m-832	314	18	,	,	PUNCT
m-832	314	19	and	and	CCONJ
m-832	314	20	pravin	pravin	PROPN
m-832	314	21	,	,	PUNCT
m-832	314	22	v.	v.	PROPN
m-832	314	23	k.	k.	PROPN
m-832	314	24	heat	heat	NOUN
m-832	314	25	transfer	transfer	NOUN
m-832	314	26	in	in	ADP
m-832	314	27	a	a	DET
m-832	314	28	viscoelastic	viscoelastic	ADJ
m-832	314	29	,	,	PUNCT
m-832	314	30	fluid	fluid	NOUN
m-832	314	31	past	past	ADP
m-832	314	32	a	a	DET
m-832	314	33	stretching	stretch	VERB
m-832	314	34	sheet	sheet	NOUN
m-832	314	35	with	with	ADP
m-832	314	36	viscous	viscous	ADJ
m-832	314	37	dissipation	dissipation	NOUN
m-832	314	38	and	and	CCONJ
m-832	314	39	internal	internal	ADJ
m-832	314	40	heat	heat	NOUN
m-832	314	41	generation	generation	NOUN
m-832	314	42	.	.	PUNCT
m-832	315	1	zeitschrift	zeitschrift	PROPN
m-832	315	2	f¨ur	f¨ur	PROPN
m-832	315	3	,	,	PUNCT
m-832	315	4	angewandte	angewandte	PROPN
m-832	315	5	mathematik	mathematik	PROPN
m-832	315	6	und	und	PROPN
m-832	315	7	physik	physik	PROPN
m-832	315	8	(	(	PUNCT
m-832	315	9	zamp	zamp	NOUN
m-832	315	10	)	)	PUNCT
m-832	315	11	,	,	PUNCT
m-832	315	12	57(3	57(3	NUM
m-832	315	13	)	)	PUNCT
m-832	315	14	,	,	PUNCT
m-832	315	15	447–463	447–463	NUM
m-832	315	16	(	(	PUNCT
m-832	315	17	2006	2006	NUM
m-832	315	18	)	)	PUNCT
m-832	316	1	[	[	X
m-832	316	2	16	16	NUM
m-832	316	3	]	]	X
m-832	316	4	palani	palani	PROPN
m-832	316	5	,	,	PUNCT
m-832	316	6	g.	g.	PROPN
m-832	316	7	and	and	CCONJ
m-832	316	8	ganesan	ganesan	PROPN
m-832	316	9	,	,	PUNCT
m-832	316	10	p.	p.	NOUN
m-832	316	11	heat	heat	NOUN
m-832	316	12	transfer	transfer	NOUN
m-832	316	13	effects	effect	NOUN
m-832	316	14	on	on	ADP
m-832	316	15	dusty	dusty	ADJ
m-832	316	16	gas	gas	NOUN
m-832	316	17	flow	flow	NOUN
m-832	316	18	past	past	ADP
m-832	316	19	a	a	DET
m-832	316	20	semi	semi	ADJ
m-832	316	21	-	-	ADJ
m-832	316	22	infinite	infinite	ADJ
m-832	316	23	inclined	inclined	ADJ
m-832	316	24	,	,	PUNCT
m-832	316	25	plate	plate	NOUN
m-832	316	26	.	.	PUNCT
m-832	317	1	forsch	forsch	PROPN
m-832	317	2	ingenieurwes	ingenieurwe	NOUN
m-832	317	3	,	,	PUNCT
m-832	317	4	71	71	NUM
m-832	317	5	,	,	PUNCT
m-832	317	6	223–230	223–230	NUM
m-832	317	7	(	(	PUNCT
m-832	317	8	2007	2007	NUM
m-832	317	9	)	)	PUNCT
m-832	317	10	ijo	ijo	PROPN
m-832	317	11	journals	journal	NOUN
m-832	317	12	volume	volume	NOUN
m-832	317	13	07	07	NUM
m-832	317	14	|	|	ADV
m-832	317	15	issue	issue	NOUN
m-832	317	16	04	04	NUM
m-832	318	1	|	|	CCONJ
m-832	318	2	april	april	PROPN
m-832	318	3	2024	2024	NUM
m-832	319	1	|	|	ADV
m-832	319	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-832	319	3	13	13	NUM