id	sid	tid	token	lemma	pos
m-817	1	1	ijo	ijo	PROPN
m-817	1	2	international	international	PROPN
m-817	1	3	journal	journal	PROPN
m-817	1	4	of	of	ADP
m-817	1	5	mathematics	mathematics	PROPN
m-817	1	6	(	(	PUNCT
m-817	1	7	issn	issn	PROPN
m-817	1	8	:	:	PUNCT
m-817	1	9	2992	2992	NUM
m-817	1	10	-	-	SYM
m-817	1	11	4421	4421	NUM
m-817	1	12	)	)	PUNCT
m-817	1	13	dhananjaiah	dhananjaiah	PROPN
m-817	1	14	d.	d.	PROPN
m-817	1	15	s1	s1	PROPN
m-817	1	16	*	*	PUNCT
m-817	1	17	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	1	18	volume	volume	NOUN
m-817	1	19	07	07	NUM
m-817	1	20	issue	issue	NOUN
m-817	1	21	03	03	NUM
m-817	1	22	||	||	NUM
m-817	1	23	march	march	NOUN
m-817	1	24	,	,	PUNCT
m-817	1	25	2024	2024	NUM
m-817	1	26	||	||	NOUN
m-817	2	1	a	a	DET
m-817	2	2	mathematical	mathematical	ADJ
m-817	2	3	analysis	analysis	NOUN
m-817	2	4	of	of	ADP
m-817	2	5	oscillatory	oscillatory	ADJ
m-817	2	6	free	free	ADJ
m-817	2	7	convection	convection	NOUN
m-817	2	8	in	in	ADP
m-817	2	9	a	a	DET
m-817	2	10	vertical	vertical	ADJ
m-817	2	11	wavy	wavy	ADJ
m-817	2	12	channel	channel	NOUN
m-817	2	13	with	with	ADP
m-817	2	14	chemical	chemical	ADJ
m-817	2	15	reaction	reaction	NOUN
m-817	2	16	a	a	DET
m-817	2	17	mathematical	mathematical	ADJ
m-817	2	18	analysis	analysis	NOUN
m-817	2	19	of	of	ADP
m-817	2	20	oscillatory	oscillatory	ADJ
m-817	2	21	free	free	ADJ
m-817	2	22	convection	convection	NOUN
m-817	2	23	in	in	ADP
m-817	2	24	a	a	DET
m-817	2	25	vertical	vertical	ADJ
m-817	2	26	wavy	wavy	ADJ
m-817	2	27	channel	channel	NOUN
m-817	2	28	with	with	ADP
m-817	2	29	chemical	chemical	ADJ
m-817	2	30	reaction	reaction	NOUN
m-817	2	31	dhananjaiah	dhananjaiah	PROPN
m-817	2	32	d.	d.	PROPN
m-817	2	33	s1	s1	PROPN
m-817	2	34	,	,	PUNCT
m-817	2	35	prof	prof	PROPN
m-817	2	36	.	.	PUNCT
m-817	3	1	k.	k.	PROPN
m-817	3	2	shivashankara2	shivashankara2	PROPN
m-817	3	3	,	,	PUNCT
m-817	3	4	venuprasad	venuprasad	PROPN
m-817	3	5	k.	k.	PROPN
m-817	3	6	k3	k3	PROPN
m-817	3	7	,	,	PUNCT
m-817	3	8	prakasha.p4	prakasha.p4	PROPN
m-817	3	9	1department	1department	NUM
m-817	3	10	of	of	ADP
m-817	3	11	mathematics	mathematic	NOUN
m-817	3	12	,	,	PUNCT
m-817	3	13	government	government	NOUN
m-817	3	14	first	first	ADJ
m-817	3	15	grade	grade	NOUN
m-817	3	16	college	college	NOUN
m-817	3	17	k.r.nagar	k.r.nagar	NOUN
m-817	3	18	,	,	PUNCT
m-817	3	19	mysuru	mysuru	PROPN
m-817	3	20	,	,	PUNCT
m-817	3	21	india	india	PROPN
m-817	3	22	e	e	PROPN
m-817	3	23	-	-	NOUN
m-817	3	24	mail	mail	NOUN
m-817	3	25	i	i	NOUN
m-817	3	26	d	d	NOUN
m-817	3	27	:	:	PUNCT
m-817	3	28	dhanu2614@gmail.com	dhanu2614@gmail.com	X
m-817	4	1	2department	2department	NUM
m-817	4	2	of	of	ADP
m-817	4	3	mathematics	mathematic	NOUN
m-817	4	4	,	,	PUNCT
m-817	4	5	yuvaraja	yuvaraja	PROPN
m-817	4	6	’s	’s	PART
m-817	4	7	college	college	NOUN
m-817	4	8	,	,	PUNCT
m-817	4	9	university	university	NOUN
m-817	4	10	of	of	ADP
m-817	4	11	mysore	mysore	NOUN
m-817	4	12	,	,	PUNCT
m-817	4	13	mysore	mysore	PROPN
m-817	4	14	,	,	PUNCT
m-817	4	15	india	india	PROPN
m-817	4	16	e	e	PROPN
m-817	4	17	-	-	NOUN
m-817	4	18	mail	mail	NOUN
m-817	4	19	i	i	NOUN
m-817	4	20	d	d	PROPN
m-817	4	21	:	:	PUNCT
m-817	5	1	drksshankara@gmail.com	drksshankara@gmail.com	X
m-817	5	2	3department	3department	NUM
m-817	5	3	of	of	ADP
m-817	5	4	mathematics	mathematic	NOUN
m-817	5	5	,	,	PUNCT
m-817	5	6	government	government	NOUN
m-817	5	7	first	first	ADJ
m-817	5	8	grade	grade	NOUN
m-817	5	9	college	college	NOUN
m-817	5	10	k.r.pete	k.r.pete	NOUN
m-817	5	11	,	,	PUNCT
m-817	5	12	mandya	mandya	PROPN
m-817	5	13	,	,	PUNCT
m-817	5	14	india	india	PROPN
m-817	5	15	e	e	PROPN
m-817	5	16	-	-	NOUN
m-817	5	17	mail	mail	NOUN
m-817	5	18	i	i	NOUN
m-817	5	19	d	d	NOUN
m-817	5	20	:	:	PUNCT
m-817	6	1	kkvpmaths@gmail.com	kkvpmaths@gmail.com	X
m-817	6	2	4department	4department	NUM
m-817	6	3	of	of	ADP
m-817	6	4	mathematics	mathematic	NOUN
m-817	6	5	,	,	PUNCT
m-817	6	6	government	government	NOUN
m-817	6	7	first	first	ADJ
m-817	6	8	grade	grade	NOUN
m-817	6	9	college	college	NOUN
m-817	6	10	,	,	PUNCT
m-817	6	11	madagi	madagi	NOUN
m-817	6	12	,	,	PUNCT
m-817	6	13	ramnagar	ramnagar	NOUN
m-817	6	14	,	,	PUNCT
m-817	6	15	india	india	PROPN
m-817	6	16	e	e	PROPN
m-817	6	17	-	-	NOUN
m-817	6	18	mail	mail	NOUN
m-817	6	19	i	i	NOUN
m-817	6	20	d	d	NOUN
m-817	6	21	:	:	PUNCT
m-817	6	22	profprakasha@gmail.com	profprakasha@gmail.com	NOUN
m-817	7	1	abstract	abstract	ADJ
m-817	7	2	the	the	DET
m-817	7	3	effect	effect	NOUN
m-817	7	4	of	of	ADP
m-817	7	5	chemical	chemical	ADJ
m-817	7	6	reaction	reaction	NOUN
m-817	7	7	on	on	ADP
m-817	7	8	unsteady	unsteady	ADJ
m-817	7	9	combined	combined	ADJ
m-817	7	10	heat	heat	NOUN
m-817	7	11	and	and	CCONJ
m-817	7	12	mass	mass	NOUN
m-817	7	13	transfer	transfer	NOUN
m-817	7	14	flow	flow	NOUN
m-817	7	15	of	of	ADP
m-817	7	16	a	a	DET
m-817	7	17	viscous	viscous	ADJ
m-817	7	18	electrically	electrically	ADV
m-817	7	19	conducting	conduct	VERB
m-817	7	20	fluid	fluid	NOUN
m-817	7	21	in	in	ADP
m-817	7	22	a	a	DET
m-817	7	23	vertical	vertical	ADJ
m-817	7	24	wavy	wavy	ADJ
m-817	7	25	channel	channel	NOUN
m-817	7	26	with	with	ADP
m-817	7	27	oscillatory	oscillatory	ADJ
m-817	7	28	flux	flux	NOUN
m-817	7	29	.	.	PUNCT
m-817	8	1	the	the	DET
m-817	8	2	nonlinear	nonlinear	ADJ
m-817	8	3	governing	govern	VERB
m-817	8	4	equations	equation	NOUN
m-817	8	5	are	be	AUX
m-817	8	6	solved	solve	VERB
m-817	8	7	by	by	ADP
m-817	8	8	employing	employ	VERB
m-817	8	9	a	a	DET
m-817	8	10	regular	regular	ADJ
m-817	8	11	perturbation	perturbation	NOUN
m-817	8	12	technique	technique	NOUN
m-817	8	13	with	with	ADP
m-817	8	14	the	the	DET
m-817	8	15	slope	slope	NOUN
m-817	8	16			NUM
m-817	8	17	of	of	ADP
m-817	8	18	the	the	DET
m-817	8	19	wavy	wavy	NOUN
m-817	8	20	wall	wall	NOUN
m-817	8	21	as	as	ADP
m-817	8	22	a	a	DET
m-817	8	23	perturbation	perturbation	NOUN
m-817	8	24	parameter	parameter	NOUN
m-817	8	25	.	.	PUNCT
m-817	9	1	the	the	DET
m-817	9	2	velocity	velocity	NOUN
m-817	9	3	,	,	PUNCT
m-817	9	4	the	the	DET
m-817	9	5	temperature	temperature	NOUN
m-817	9	6	and	and	CCONJ
m-817	9	7	the	the	DET
m-817	9	8	concentration	concentration	NOUN
m-817	9	9	are	be	AUX
m-817	9	10	analyzed	analyze	VERB
m-817	9	11	for	for	ADP
m-817	9	12	different	different	ADJ
m-817	9	13	variations	variation	NOUN
m-817	9	14	of	of	ADP
m-817	9	15	the	the	DET
m-817	9	16	governing	govern	VERB
m-817	9	17	parameters	parameter	NOUN
m-817	9	18	.	.	PUNCT
m-817	10	1	the	the	DET
m-817	10	2	rate	rate	NOUN
m-817	10	3	heat	heat	NOUN
m-817	10	4	and	and	CCONJ
m-817	10	5	mass	mass	NOUN
m-817	10	6	transfer	transfer	NOUN
m-817	10	7	are	be	AUX
m-817	10	8	evaluated	evaluate	VERB
m-817	10	9	for	for	ADP
m-817	10	10	different	different	ADJ
m-817	10	11	variations	variation	NOUN
m-817	10	12	.	.	PUNCT
m-817	11	1	keywords	keyword	NOUN
m-817	11	2	:	:	PUNCT
m-817	11	3	heat	heat	NOUN
m-817	11	4	transfer	transfer	NOUN
m-817	11	5	,	,	PUNCT
m-817	11	6	mass	mass	NOUN
m-817	11	7	transfer	transfer	NOUN
m-817	11	8	,	,	PUNCT
m-817	11	9	chemical	chemical	NOUN
m-817	11	10	reaction	reaction	NOUN
m-817	11	11	,	,	PUNCT
m-817	11	12	wavy	wavy	ADJ
m-817	11	13	channel	channel	NOUN
m-817	11	14	,	,	PUNCT
m-817	11	15	1	1	NUM
m-817	11	16	.	.	X
m-817	11	17	introduction	introduction	NOUN
m-817	11	18	due	due	ADP
m-817	11	19	to	to	ADP
m-817	11	20	growing	grow	VERB
m-817	11	21	significances	significance	NOUN
m-817	11	22	,	,	PUNCT
m-817	11	23	the	the	DET
m-817	11	24	application	application	NOUN
m-817	11	25	of	of	ADP
m-817	11	26	non	non	ADJ
m-817	11	27	-	-	ADJ
m-817	11	28	newtonian	newtonian	ADJ
m-817	11	29	liquid	liquid	NOUN
m-817	11	30	is	be	AUX
m-817	11	31	mandatory	mandatory	ADJ
m-817	11	32	in	in	ADP
m-817	11	33	the	the	DET
m-817	11	34	engineering	engineering	NOUN
m-817	11	35	and	and	CCONJ
m-817	11	36	industry	industry	NOUN
m-817	11	37	.	.	PUNCT
m-817	12	1	it	it	PRON
m-817	12	2	is	be	AUX
m-817	12	3	outstanding	outstanding	ADJ
m-817	12	4	to	to	ADP
m-817	12	5	those	those	DET
m-817	12	6	plentiful	plentiful	ADJ
m-817	12	7	applications	application	NOUN
m-817	12	8	in	in	ADP
m-817	12	9	more	more	ADJ
m-817	12	10	than	than	ADP
m-817	12	11	a	a	DET
m-817	12	12	few	few	ADJ
m-817	12	13	regions	region	NOUN
m-817	12	14	,	,	PUNCT
m-817	12	15	they	they	PRON
m-817	12	16	are	be	AUX
m-817	12	17	,	,	PUNCT
m-817	12	18	the	the	DET
m-817	12	19	plastic	plastic	NOUN
m-817	12	20	manufacturing	manufacturing	NOUN
m-817	12	21	,	,	PUNCT
m-817	12	22	performance	performance	NOUN
m-817	12	23	of	of	ADP
m-817	12	24	lubricant	lubricant	NOUN
m-817	12	25	,	,	PUNCT
m-817	12	26	food	food	NOUN
m-817	12	27	processing	processing	NOUN
m-817	12	28	,	,	PUNCT
m-817	12	29	and/	and/	NOUN
m-817	12	30	or	or	CCONJ
m-817	12	31	movement	movement	NOUN
m-817	12	32	of	of	ADP
m-817	12	33	biological	biological	ADJ
m-817	12	34	liquids	liquid	NOUN
m-817	12	35	.	.	PUNCT
m-817	13	1	the	the	DET
m-817	13	2	second	second	ADJ
m-817	13	3	graded	grade	VERB
m-817	13	4	fluid	fluid	NOUN
m-817	13	5	preserve	preserve	VERB
m-817	13	6	many	many	ADJ
m-817	13	7	fluids	fluid	NOUN
m-817	13	8	these	these	PRON
m-817	13	9	are	be	AUX
m-817	13	10	diluted	dilute	VERB
m-817	13	11	polymer	polymer	NOUN
m-817	13	12	solution	solution	NOUN
m-817	13	13	,	,	PUNCT
m-817	13	14	slurry	slurry	NOUN
m-817	13	15	flow	flow	NOUN
m-817	13	16	,	,	PUNCT
m-817	13	17	as	as	ADV
m-817	13	18	well	well	ADV
m-817	13	19	as	as	ADP
m-817	13	20	industrial	industrial	ADJ
m-817	13	21	oil	oil	NOUN
m-817	13	22	,	,	PUNCT
m-817	13	23	in	in	ADP
m-817	13	24	addition	addition	NOUN
m-817	13	25	to	to	ADP
m-817	13	26	a	a	DET
m-817	13	27	lot	lot	NOUN
m-817	13	28	of	of	ADP
m-817	13	29	flow	flow	NOUN
m-817	13	30	problems	problem	NOUN
m-817	13	31	by	by	ADP
m-817	13	32	a	a	DET
m-817	13	33	choice	choice	NOUN
m-817	13	34	of	of	ADP
m-817	13	35	geometry	geometry	NOUN
m-817	13	36	as	as	ADV
m-817	13	37	well	well	ADV
m-817	13	38	as	as	ADP
m-817	13	39	dissimilar	dissimilar	ADJ
m-817	13	40	mechanical	mechanical	ADJ
m-817	13	41	and/or	and/or	CCONJ
m-817	13	42	thermal	thermal	ADJ
m-817	13	43	boundary	boundary	ADJ
m-817	13	44	circumstances	circumstance	NOUN
m-817	13	45	have	have	AUX
m-817	13	46	been	be	AUX
m-817	13	47	deliberated	deliberate	VERB
m-817	13	48	.	.	PUNCT
m-817	14	1	tan	tan	PROPN
m-817	14	2	and	and	CCONJ
m-817	14	3	masuoka	masuoka	NOUN
m-817	15	1	[	[	X
m-817	15	2	1	1	X
m-817	15	3	]	]	PUNCT
m-817	15	4	found	find	VERB
m-817	15	5	the	the	DET
m-817	15	6	stokes	stoke	NOUN
m-817	15	7	first	first	ADJ
m-817	15	8	problems	problem	NOUN
m-817	15	9	for	for	ADP
m-817	15	10	the	the	DET
m-817	15	11	second	second	ADJ
m-817	15	12	graded	grade	VERB
m-817	15	13	fluids	fluid	NOUN
m-817	15	14	and	and	CCONJ
m-817	15	15	rashidi	rashidi	NOUN
m-817	15	16	et	et	PROPN
m-817	15	17	al	al	PROPN
m-817	15	18	.	.	PUNCT
m-817	16	1	[	[	X
m-817	16	2	2	2	X
m-817	16	3	]	]	PUNCT
m-817	16	4	discussed	discuss	VERB
m-817	16	5	by	by	ADP
m-817	16	6	the	the	DET
m-817	16	7	unsteady	unsteady	ADJ
m-817	16	8	compressible	compressible	ADJ
m-817	16	9	flows	flow	NOUN
m-817	16	10	of	of	ADP
m-817	16	11	the	the	DET
m-817	16	12	second	second	ADJ
m-817	16	13	order	order	NOUN
m-817	16	14	fluids	fluid	NOUN
m-817	16	15	.	.	PUNCT
m-817	17	1	hayat	hayat	PROPN
m-817	17	2	et	et	PROPN
m-817	17	3	al	al	PROPN
m-817	17	4	.	.	PUNCT
m-817	18	1	[	[	X
m-817	18	2	3	3	X
m-817	18	3	]	]	PUNCT
m-817	18	4	explored	explore	VERB
m-817	18	5	by	by	ADP
m-817	18	6	the	the	DET
m-817	18	7	unsteady	unsteady	ADJ
m-817	18	8	stagnation	stagnation	NOUN
m-817	18	9	point	point	NOUN
m-817	18	10	flow	flow	NOUN
m-817	18	11	of	of	ADP
m-817	18	12	second	second	ADJ
m-817	18	13	grade	grade	NOUN
m-817	18	14	fluids	fluid	NOUN
m-817	18	15	with	with	ADP
m-817	18	16	changeable	changeable	ADJ
m-817	18	17	free	free	ADJ
m-817	18	18	stream.due	stream.due	PROPN
m-817	18	19	to	to	ADP
m-817	18	20	complicated	complicated	ADJ
m-817	18	21	relation	relation	NOUN
m-817	18	22	between	between	ADP
m-817	18	23	stress	stress	NOUN
m-817	18	24	and	and	CCONJ
m-817	18	25	strain	strain	NOUN
m-817	18	26	in	in	ADP
m-817	18	27	nonnewtonian	nonnewtonian	NOUN
m-817	18	28	fluids	fluid	NOUN
m-817	18	29	and	and	CCONJ
m-817	18	30	their	their	PRON
m-817	18	31	technological	technological	ADJ
m-817	18	32	application	application	NOUN
m-817	18	33	,	,	PUNCT
m-817	18	34	their	their	PRON
m-817	18	35	study	study	NOUN
m-817	18	36	in	in	ADP
m-817	18	37	fluid	fluid	ADJ
m-817	18	38	dynamics	dynamic	NOUN
m-817	18	39	is	be	AUX
m-817	18	40	more	more	ADV
m-817	18	41	valuable	valuable	ADJ
m-817	18	42	than	than	ADP
m-817	18	43	newtonian	newtonian	ADJ
m-817	18	44	fluids	fluid	NOUN
m-817	18	45	.	.	PUNCT
m-817	19	1	viscous	viscous	ADJ
m-817	19	2	fluids	fluid	NOUN
m-817	19	3	flow	flow	NOUN
m-817	19	4	has	have	AUX
m-817	19	5	attracted	attract	VERB
m-817	19	6	the	the	DET
m-817	19	7	attention	attention	NOUN
m-817	19	8	of	of	ADP
m-817	19	9	scientists	scientist	NOUN
m-817	19	10	and	and	CCONJ
m-817	19	11	engineers	engineer	NOUN
m-817	19	12	because	because	SCONJ
m-817	19	13	of	of	ADP
m-817	19	14	its	its	PRON
m-817	19	15	important	important	ADJ
m-817	19	16	applications	application	NOUN
m-817	19	17	notably	notably	ADV
m-817	19	18	in	in	ADP
m-817	19	19	the	the	DET
m-817	19	20	flow	flow	NOUN
m-817	19	21	of	of	ADP
m-817	19	22	oil	oil	NOUN
m-817	19	23	through	through	ADP
m-817	19	24	porous	porous	ADJ
m-817	19	25	rocks	rock	NOUN
m-817	19	26	,	,	PUNCT
m-817	19	27	the	the	DET
m-817	19	28	extraction	extraction	NOUN
m-817	19	29	of	of	ADP
m-817	19	30	energy	energy	NOUN
m-817	19	31	from	from	ADP
m-817	19	32	geothermal	geothermal	ADJ
m-817	19	33	regions	region	NOUN
m-817	19	34	,	,	PUNCT
m-817	19	35	the	the	DET
m-817	19	36	filtration	filtration	NOUN
m-817	19	37	of	of	ADP
m-817	19	38	solids	solid	NOUN
m-817	19	39	from	from	ADP
m-817	19	40	liquids	liquid	NOUN
m-817	19	41	and	and	CCONJ
m-817	19	42	drug	drug	NOUN
m-817	19	43	penetration	penetration	NOUN
m-817	19	44	through	through	ADP
m-817	19	45	human	human	ADJ
m-817	19	46	skin	skin	NOUN
m-817	19	47	.	.	PUNCT
m-817	20	1	second	second	ADJ
m-817	20	2	grade	grade	NOUN
m-817	20	3	fluid	fluid	NOUN
m-817	20	4	is	be	AUX
m-817	20	5	a	a	DET
m-817	20	6	subclass	subclass	NOUN
m-817	20	7	of	of	ADP
m-817	20	8	non	non	ADJ
m-817	20	9	-	-	ADJ
m-817	20	10	newtonian	newtonian	ADJ
m-817	20	11	fluid	fluid	NOUN
m-817	20	12	in	in	ADP
m-817	20	13	which	which	PRON
m-817	20	14	velocity	velocity	NOUN
m-817	20	15	field	field	NOUN
m-817	20	16	has	have	VERB
m-817	20	17	up	up	ADP
m-817	20	18	to	to	PART
m-817	20	19	two	two	NUM
m-817	20	20	derivatives	derivative	NOUN
m-817	20	21	in	in	ADP
m-817	20	22	stress	stress	NOUN
m-817	20	23	strain	strain	NOUN
m-817	20	24	tensor	tensor	NOUN
m-817	20	25	relationship	relationship	NOUN
m-817	20	26	where	where	SCONJ
m-817	20	27	as	as	ADP
m-817	20	28	in	in	ADP
m-817	20	29	new	new	ADJ
m-817	20	30	tonian	tonian	ADJ
m-817	20	31	fluid	fluid	NOUN
m-817	20	32	it	it	PRON
m-817	20	33	has	have	VERB
m-817	20	34	derivatives	derivative	NOUN
m-817	20	35	up	up	ADP
m-817	20	36	to	to	ADP
m-817	20	37	first	first	ADJ
m-817	20	38	order	order	NOUN
m-817	20	39	.	.	PUNCT
m-817	21	1	flow	flow	NOUN
m-817	21	2	of	of	ADP
m-817	21	3	second	second	ADJ
m-817	21	4	grade	grade	NOUN
m-817	21	5	fluid	fluid	NOUN
m-817	21	6	gains	gain	NOUN
m-817	21	7	attention	attention	NOUN
m-817	21	8	of	of	ADP
m-817	21	9	the	the	DET
m-817	21	10	researchers	researcher	NOUN
m-817	21	11	in	in	ADP
m-817	21	12	many	many	ADJ
m-817	21	13	boundary	boundary	ADJ
m-817	21	14	layer	layer	NOUN
m-817	21	15	flows	flow	NOUN
m-817	21	16	and	and	CCONJ
m-817	21	17	have	have	AUX
m-817	21	18	been	be	AUX
m-817	21	19	successfully	successfully	ADV
m-817	21	20	studied	study	VERB
m-817	21	21	in	in	ADP
m-817	21	22	various	various	ADJ
m-817	21	23	kinds	kind	NOUN
m-817	21	24	of	of	ADP
m-817	21	25	flows	flow	NOUN
m-817	21	26	.	.	PUNCT
m-817	22	1	study	study	NOUN
m-817	22	2	of	of	ADP
m-817	22	3	heat	heat	NOUN
m-817	22	4	transfer	transfer	NOUN
m-817	22	5	in	in	ADP
m-817	22	6	non	non	ADJ
m-817	22	7	-	-	ADJ
m-817	22	8	newtonian	newtonian	ADJ
m-817	22	9	fluids	fluid	NOUN
m-817	22	10	is	be	AUX
m-817	22	11	much	much	ADV
m-817	22	12	interesting	interesting	ADJ
m-817	22	13	for	for	ADP
m-817	22	14	researchers	researcher	NOUN
m-817	22	15	now	now	ADV
m-817	22	16	-	-	PUNCT
m-817	22	17	adays	aday	NOUN
m-817	22	18	.	.	PUNCT
m-817	23	1	ijo	ijo	PROPN
m-817	23	2	journals	journal	NOUN
m-817	23	3	volume	volume	NOUN
m-817	23	4	07	07	NUM
m-817	23	5	|	|	NOUN
m-817	23	6	issue	issue	NOUN
m-817	23	7	03	03	NUM
m-817	24	1	|	|	ADV
m-817	24	2	march	march	PROPN
m-817	24	3	2024	2024	NUM
m-817	25	1	|	|	ADV
m-817	25	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	25	3	15	15	NUM
m-817	25	4	mailto:dhanu2614@gmail.com	mailto:dhanu2614@gmail.com	PROPN
m-817	25	5	mailto:drksshankara@gmail.com	mailto:drksshankara@gmail.com	PROPN
m-817	25	6	mailto:kkvpmaths@gmail.com	mailto:kkvpmaths@gmail.com	X
m-817	25	7	mailto:profprakasha@gmail.com	mailto:profprakasha@gmail.com	PROPN
m-817	25	8	ijo	ijo	PROPN
m-817	25	9	international	international	PROPN
m-817	25	10	journal	journal	PROPN
m-817	25	11	of	of	ADP
m-817	25	12	mathematics	mathematics	PROPN
m-817	25	13	(	(	PUNCT
m-817	25	14	issn	issn	PROPN
m-817	25	15	:	:	PUNCT
m-817	25	16	2992	2992	NUM
m-817	25	17	-	-	SYM
m-817	25	18	4421	4421	NUM
m-817	25	19	)	)	PUNCT
m-817	25	20	dhananjaiah	dhananjaiah	PROPN
m-817	25	21	d.	d.	PROPN
m-817	25	22	s1	s1	PROPN
m-817	25	23	*	*	PUNCT
m-817	25	24	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	25	25	volume	volume	NOUN
m-817	25	26	07	07	NUM
m-817	25	27	issue	issue	NOUN
m-817	25	28	03	03	NUM
m-817	25	29	||	||	NUM
m-817	25	30	march	march	NOUN
m-817	25	31	,	,	PUNCT
m-817	25	32	2024	2024	NUM
m-817	25	33	||	||	NOUN
m-817	26	1	a	a	DET
m-817	26	2	mathematical	mathematical	ADJ
m-817	26	3	analysis	analysis	NOUN
m-817	26	4	of	of	ADP
m-817	26	5	oscillatory	oscillatory	ADJ
m-817	26	6	free	free	ADJ
m-817	26	7	convection	convection	NOUN
m-817	26	8	in	in	ADP
m-817	26	9	a	a	DET
m-817	26	10	vertical	vertical	ADJ
m-817	26	11	wavy	wavy	ADJ
m-817	26	12	channel	channel	NOUN
m-817	26	13	with	with	ADP
m-817	26	14	chemical	chemical	ADJ
m-817	26	15	reaction	reaction	NOUN
m-817	26	16	the	the	DET
m-817	26	17	combined	combined	ADJ
m-817	26	18	heat	heat	NOUN
m-817	26	19	and	and	CCONJ
m-817	26	20	mass	mass	NOUN
m-817	26	21	transport	transport	NOUN
m-817	26	22	problems	problem	NOUN
m-817	26	23	through	through	ADP
m-817	26	24	the	the	DET
m-817	26	25	chemical	chemical	NOUN
m-817	26	26	reaction	reaction	NOUN
m-817	26	27	are	be	AUX
m-817	26	28	of	of	ADP
m-817	26	29	significance	significance	NOUN
m-817	26	30	in	in	ADP
m-817	26	31	a	a	DET
m-817	26	32	lot	lot	NOUN
m-817	26	33	of	of	ADP
m-817	26	34	processes	process	NOUN
m-817	26	35	and	and	CCONJ
m-817	26	36	have	have	AUX
m-817	26	37	obtained	obtain	VERB
m-817	26	38	an	an	DET
m-817	26	39	extensive	extensive	ADJ
m-817	26	40	value	value	NOUN
m-817	26	41	of	of	ADP
m-817	26	42	concentration	concentration	NOUN
m-817	26	43	in	in	ADP
m-817	26	44	current	current	ADJ
m-817	26	45	years	year	NOUN
m-817	26	46	.	.	PUNCT
m-817	27	1	in	in	ADP
m-817	27	2	developments	development	NOUN
m-817	27	3	such	such	ADJ
m-817	27	4	as	as	ADP
m-817	27	5	drying	dry	VERB
m-817	27	6	,	,	PUNCT
m-817	27	7	disappearance	disappearance	NOUN
m-817	27	8	at	at	ADP
m-817	27	9	the	the	DET
m-817	27	10	external	external	NOUN
m-817	27	11	of	of	ADP
m-817	27	12	a	a	DET
m-817	27	13	fluid	fluid	ADJ
m-817	27	14	body	body	NOUN
m-817	27	15	,	,	PUNCT
m-817	27	16	energy	energy	NOUN
m-817	27	17	transportation	transportation	NOUN
m-817	27	18	in	in	ADP
m-817	27	19	a	a	DET
m-817	27	20	drenched	drenched	ADJ
m-817	27	21	cooling	cool	VERB
m-817	27	22	increase	increase	NOUN
m-817	27	23	and	and	CCONJ
m-817	27	24	the	the	DET
m-817	27	25	flow	flow	NOUN
m-817	27	26	in	in	ADP
m-817	27	27	a	a	DET
m-817	27	28	desert	desert	NOUN
m-817	27	29	cooler	cooler	NOUN
m-817	27	30	,	,	PUNCT
m-817	27	31	heat	heat	NOUN
m-817	27	32	and	and	CCONJ
m-817	27	33	mass	mass	NOUN
m-817	27	34	transport	transport	NOUN
m-817	27	35	happen	happen	VERB
m-817	27	36	simultaneously	simultaneously	ADV
m-817	27	37	.	.	PUNCT
m-817	28	1	possible	possible	ADJ
m-817	28	2	applications	application	NOUN
m-817	28	3	of	of	ADP
m-817	28	4	that	that	DET
m-817	28	5	category	category	NOUN
m-817	28	6	of	of	ADP
m-817	28	7	flow	flow	NOUN
m-817	28	8	can	can	AUX
m-817	28	9	be	be	AUX
m-817	28	10	established	establish	VERB
m-817	28	11	in	in	ADP
m-817	28	12	numerous	numerous	ADJ
m-817	28	13	industries	industry	NOUN
m-817	28	14	.	.	PUNCT
m-817	29	1	some	some	DET
m-817	29	2	examples	example	NOUN
m-817	29	3	,	,	PUNCT
m-817	29	4	in	in	ADP
m-817	29	5	the	the	DET
m-817	29	6	power	power	NOUN
m-817	29	7	industries	industry	NOUN
m-817	29	8	,	,	PUNCT
m-817	29	9	between	between	ADP
m-817	29	10	the	the	DET
m-817	29	11	techniques	technique	NOUN
m-817	29	12	of	of	ADP
m-817	29	13	generating	generate	VERB
m-817	29	14	electric	electric	ADJ
m-817	29	15	energy	energy	NOUN
m-817	29	16	is	be	AUX
m-817	29	17	solitary	solitary	ADJ
m-817	29	18	in	in	ADP
m-817	29	19	this	this	DET
m-817	29	20	electrical	electrical	ADJ
m-817	29	21	energy	energy	NOUN
m-817	29	22	are	be	AUX
m-817	29	23	extracted	extract	VERB
m-817	29	24	directly	directly	ADV
m-817	29	25	exciting	exciting	ADJ
m-817	29	26	from	from	ADP
m-817	29	27	a	a	DET
m-817	29	28	conducting	conducting	NOUN
m-817	29	29	fluid	fluid	NOUN
m-817	29	30	.	.	PUNCT
m-817	30	1	it	it	PRON
m-817	30	2	is	be	AUX
m-817	30	3	predominantly	predominantly	ADV
m-817	30	4	attracted	attract	VERB
m-817	30	5	in	in	ADP
m-817	30	6	cases	case	NOUN
m-817	30	7	of	of	ADP
m-817	30	8	diffusion	diffusion	NOUN
m-817	30	9	and	and	CCONJ
m-817	30	10	chemical	chemical	NOUN
m-817	30	11	reaction	reaction	NOUN
m-817	30	12	occurs	occur	VERB
m-817	30	13	at	at	ADP
m-817	30	14	approximately	approximately	ADV
m-817	30	15	the	the	DET
m-817	30	16	identical	identical	ADJ
m-817	30	17	speediness	speediness	NOUN
m-817	30	18	.	.	PUNCT
m-817	31	1	once	once	ADV
m-817	31	2	diffusion	diffusion	NOUN
m-817	31	3	is	be	AUX
m-817	31	4	to	to	ADP
m-817	31	5	a	a	DET
m-817	31	6	great	great	ADJ
m-817	31	7	extent	extent	NOUN
m-817	31	8	faster	fast	ADV
m-817	31	9	than	than	ADP
m-817	31	10	chemical	chemical	ADJ
m-817	31	11	reaction	reaction	NOUN
m-817	31	12	,	,	PUNCT
m-817	31	13	then	then	ADV
m-817	31	14	merely	merely	ADV
m-817	31	15	chemical	chemical	ADJ
m-817	31	16	reaction	reaction	NOUN
m-817	31	17	influences	influence	VERB
m-817	31	18	the	the	DET
m-817	31	19	rate	rate	NOUN
m-817	31	20	of	of	ADP
m-817	31	21	chemical	chemical	ADJ
m-817	31	22	reaction	reaction	NOUN
m-817	31	23	;	;	PUNCT
m-817	31	24	when	when	SCONJ
m-817	31	25	diffusion	diffusion	NOUN
m-817	31	26	is	be	AUX
m-817	31	27	not	not	PART
m-817	31	28	much	much	ADV
m-817	31	29	quicker	quick	ADJ
m-817	31	30	than	than	ADP
m-817	31	31	chemical	chemical	ADJ
m-817	31	32	reaction	reaction	NOUN
m-817	31	33	,	,	PUNCT
m-817	31	34	the	the	DET
m-817	31	35	diffusion	diffusion	NOUN
m-817	31	36	as	as	ADV
m-817	31	37	well	well	ADV
m-817	31	38	as	as	ADP
m-817	31	39	kinetics	kinetic	NOUN
m-817	31	40	interacts	interact	VERB
m-817	31	41	to	to	PART
m-817	31	42	construct	construct	VERB
m-817	31	43	very	very	ADV
m-817	31	44	dissimilar	dissimilar	ADJ
m-817	31	45	consequences	consequence	NOUN
m-817	31	46	.	.	PUNCT
m-817	32	1	the	the	DET
m-817	32	2	investigation	investigation	NOUN
m-817	32	3	of	of	ADP
m-817	32	4	heat	heat	NOUN
m-817	32	5	generation	generation	NOUN
m-817	32	6	or	or	CCONJ
m-817	32	7	absorption	absorption	NOUN
m-817	32	8	consequences	consequence	NOUN
m-817	32	9	in	in	ADP
m-817	32	10	moving	move	VERB
m-817	32	11	fluids	fluid	NOUN
m-817	32	12	is	be	AUX
m-817	32	13	significant	significant	ADJ
m-817	32	14	in	in	ADP
m-817	32	15	sight	sight	NOUN
m-817	32	16	of	of	ADP
m-817	32	17	quite	quite	DET
m-817	32	18	a	a	DET
m-817	32	19	few	few	ADJ
m-817	32	20	substantial	substantial	ADJ
m-817	32	21	problems	problem	NOUN
m-817	32	22	,	,	PUNCT
m-817	32	23	they	they	PRON
m-817	32	24	are	be	AUX
m-817	32	25	,	,	PUNCT
m-817	32	26	and	and	CCONJ
m-817	32	27	fluids	fluid	NOUN
m-817	32	28	undergo	undergo	VERB
m-817	32	29	exothermic	exothermic	NOUN
m-817	32	30	or	or	CCONJ
m-817	32	31	else	else	ADV
m-817	32	32	endothermic	endothermic	PROPN
m-817	32	33	chemical	chemical	NOUN
m-817	32	34	reaction	reaction	NOUN
m-817	32	35	.	.	PUNCT
m-817	33	1	outstanding	outstanding	ADJ
m-817	33	2	to	to	ADP
m-817	33	3	the	the	DET
m-817	33	4	quick	quick	ADJ
m-817	33	5	development	development	NOUN
m-817	33	6	of	of	ADP
m-817	33	7	electronic	electronic	ADJ
m-817	33	8	technology	technology	NOUN
m-817	33	9	,	,	PUNCT
m-817	33	10	effectual	effectual	ADJ
m-817	33	11	freezing	freezing	NOUN
m-817	33	12	of	of	ADP
m-817	33	13	electronic	electronic	ADJ
m-817	33	14	apparatus	apparatus	NOUN
m-817	33	15	has	have	AUX
m-817	33	16	become	become	VERB
m-817	33	17	certified	certified	ADJ
m-817	33	18	and	and	CCONJ
m-817	33	19	freezing	freezing	NOUN
m-817	33	20	of	of	ADP
m-817	33	21	electronic	electronic	ADJ
m-817	33	22	apparatus	apparatus	NOUN
m-817	33	23	ranges	range	VERB
m-817	33	24	from	from	ADP
m-817	33	25	own	own	ADJ
m-817	33	26	transistors	transistor	NOUN
m-817	33	27	to	to	PART
m-817	33	28	foremost	foremost	ADJ
m-817	33	29	structure	structure	NOUN
m-817	33	30	computers	computer	NOUN
m-817	33	31	and	and	CCONJ
m-817	33	32	from	from	ADP
m-817	33	33	energy	energy	NOUN
m-817	33	34	providers	provider	NOUN
m-817	33	35	to	to	ADP
m-817	33	36	telephone	telephone	NOUN
m-817	33	37	switch	switch	NOUN
m-817	33	38	panels	panel	NOUN
m-817	33	39	and	and	CCONJ
m-817	33	40	thermal	thermal	ADJ
m-817	33	41	diffusion	diffusion	NOUN
m-817	33	42	impacts	impact	NOUN
m-817	33	43	has	have	AUX
m-817	33	44	been	be	AUX
m-817	33	45	exploited	exploit	VERB
m-817	33	46	for	for	ADP
m-817	33	47	isotopes	isotope	NOUN
m-817	33	48	separation	separation	NOUN
m-817	33	49	in	in	ADP
m-817	33	50	the	the	DET
m-817	33	51	combination	combination	NOUN
m-817	33	52	among	among	ADP
m-817	33	53	gases	gas	NOUN
m-817	33	54	with	with	ADP
m-817	33	55	extremely	extremely	ADV
m-817	33	56	low	low	ADJ
m-817	33	57	molecular	molecular	ADJ
m-817	33	58	weight	weight	NOUN
m-817	33	59	(	(	PUNCT
m-817	33	60	h2	h2	NOUN
m-817	33	61	and	and	CCONJ
m-817	33	62	he	he	PRON
m-817	33	63	)	)	PUNCT
m-817	33	64	and	and	CCONJ
m-817	33	65	average	average	ADJ
m-817	33	66	molecular	molecular	ADJ
m-817	33	67	weight	weight	NOUN
m-817	33	68	.	.	PUNCT
m-817	34	1	bestman	bestman	NOUN
m-817	35	1	[	[	X
m-817	35	2	4	4	NUM
m-817	35	3	]	]	PUNCT
m-817	35	4	investigated	investigate	VERB
m-817	35	5	the	the	DET
m-817	35	6	free	free	ADJ
m-817	35	7	convection	convection	NOUN
m-817	35	8	boundary	boundary	ADJ
m-817	35	9	layer	layer	NOUN
m-817	35	10	flow	flow	NOUN
m-817	35	11	with	with	ADP
m-817	35	12	simultaneous	simultaneous	ADJ
m-817	35	13	heat	heat	NOUN
m-817	35	14	and	and	CCONJ
m-817	35	15	mass	mass	NOUN
m-817	35	16	transfer	transfer	NOUN
m-817	35	17	in	in	ADP
m-817	35	18	a	a	DET
m-817	35	19	porous	porous	ADJ
m-817	35	20	medium	medium	NOUN
m-817	35	21	when	when	SCONJ
m-817	35	22	the	the	DET
m-817	35	23	boundary	boundary	ADJ
m-817	35	24	walls	wall	NOUN
m-817	35	25	move	move	VERB
m-817	35	26	in	in	ADP
m-817	35	27	its	its	PRON
m-817	35	28	own	own	ADJ
m-817	35	29	plane	plane	NOUN
m-817	35	30	with	with	ADP
m-817	35	31	suction	suction	NOUN
m-817	35	32	.	.	PUNCT
m-817	36	1	abdus	abdus	PROPN
m-817	37	1	sattar	sattar	PROPN
m-817	37	2	and	and	CCONJ
m-817	37	3	hamid	hamid	PROPN
m-817	37	4	kalim	kalim	PROPN
m-817	38	1	[	[	X
m-817	38	2	5	5	NUM
m-817	38	3	]	]	PUNCT
m-817	38	4	studied	study	VERB
m-817	38	5	the	the	DET
m-817	38	6	unsteady	unsteady	ADJ
m-817	38	7	free	free	ADJ
m-817	38	8	convection	convection	NOUN
m-817	38	9	interaction	interaction	NOUN
m-817	38	10	with	with	ADP
m-817	38	11	thermal	thermal	ADJ
m-817	38	12	radiation	radiation	NOUN
m-817	38	13	in	in	ADP
m-817	38	14	a	a	DET
m-817	38	15	boundary	boundary	ADJ
m-817	38	16	layer	layer	NOUN
m-817	38	17	flow	flow	NOUN
m-817	38	18	past	past	ADP
m-817	38	19	a	a	DET
m-817	38	20	vertical	vertical	ADJ
m-817	38	21	porous	porous	ADJ
m-817	38	22	plate	plate	NOUN
m-817	38	23	.	.	PUNCT
m-817	39	1	makinde	makinde	NOUN
m-817	40	1	[	[	X
m-817	40	2	6	6	NUM
m-817	40	3	]	]	PUNCT
m-817	40	4	explored	explore	VERB
m-817	40	5	the	the	DET
m-817	40	6	combined	combine	VERB
m-817	40	7	free	free	ADJ
m-817	40	8	convection	convection	NOUN
m-817	40	9	boundary	boundary	ADJ
m-817	40	10	layer	layer	NOUN
m-817	40	11	flow	flow	NOUN
m-817	40	12	with	with	ADP
m-817	40	13	thermal	thermal	ADJ
m-817	40	14	radiation	radiation	NOUN
m-817	40	15	and	and	CCONJ
m-817	40	16	mass	mass	NOUN
m-817	40	17	transfer	transfer	NOUN
m-817	40	18	past	past	ADP
m-817	40	19	a	a	DET
m-817	40	20	permeable	permeable	ADJ
m-817	40	21	vertical	vertical	ADJ
m-817	40	22	plate	plate	NOUN
m-817	40	23	.	.	PUNCT
m-817	41	1	makinde	makinde	NOUN
m-817	41	2	et	et	PROPN
m-817	41	3	al	al	PROPN
m-817	41	4	.	.	PUNCT
m-817	42	1	[	[	X
m-817	42	2	7	7	NUM
m-817	42	3	]	]	PUNCT
m-817	42	4	investigated	investigate	VERB
m-817	42	5	the	the	DET
m-817	42	6	problem	problem	NOUN
m-817	42	7	of	of	ADP
m-817	42	8	unsteady	unsteady	ADJ
m-817	42	9	convection	convection	NOUN
m-817	42	10	with	with	ADP
m-817	42	11	chemical	chemical	ADJ
m-817	42	12	reaction	reaction	NOUN
m-817	42	13	and	and	CCONJ
m-817	42	14	radiative	radiative	ADJ
m-817	42	15	heat	heat	NOUN
m-817	42	16	transfer	transfer	NOUN
m-817	42	17	past	past	ADP
m-817	42	18	a	a	DET
m-817	42	19	flat	flat	ADJ
m-817	42	20	porous	porous	ADJ
m-817	42	21	plate	plate	NOUN
m-817	42	22	moving	move	VERB
m-817	42	23	through	through	ADP
m-817	42	24	a	a	DET
m-817	42	25	binary	binary	ADJ
m-817	42	26	mixture	mixture	NOUN
m-817	42	27	in	in	ADP
m-817	42	28	an	an	DET
m-817	42	29	optically	optically	ADV
m-817	42	30	thin	thin	ADJ
m-817	42	31	environment	environment	NOUN
m-817	42	32	.	.	PUNCT
m-817	43	1	muthucumaraswamy	muthucumaraswamy	NOUN
m-817	43	2	and	and	CCONJ
m-817	43	3	ganesan	ganesan	PROPN
m-817	43	4	[	[	X
m-817	43	5	8	8	NUM
m-817	43	6	]	]	PUNCT
m-817	43	7	explored	explore	VERB
m-817	43	8	the	the	DET
m-817	43	9	impact	impact	NOUN
m-817	43	10	of	of	ADP
m-817	43	11	the	the	DET
m-817	43	12	chemical	chemical	NOUN
m-817	43	13	reaction	reaction	NOUN
m-817	43	14	and	and	CCONJ
m-817	43	15	injection	injection	NOUN
m-817	43	16	on	on	ADP
m-817	43	17	flow	flow	NOUN
m-817	43	18	characteristics	characteristic	NOUN
m-817	43	19	in	in	ADP
m-817	43	20	an	an	DET
m-817	43	21	unsteady	unsteady	ADJ
m-817	43	22	upward	upward	ADJ
m-817	43	23	motion	motion	NOUN
m-817	43	24	of	of	ADP
m-817	43	25	an	an	DET
m-817	43	26	isothermal	isothermal	ADJ
m-817	43	27	plate	plate	NOUN
m-817	43	28	.	.	PUNCT
m-817	44	1	in	in	ADP
m-817	44	2	many	many	ADJ
m-817	44	3	chemical	chemical	ADJ
m-817	44	4	engineering	engineering	NOUN
m-817	44	5	processes	process	NOUN
m-817	44	6	,	,	PUNCT
m-817	44	7	there	there	PRON
m-817	44	8	does	do	AUX
m-817	44	9	occur	occur	VERB
m-817	44	10	the	the	DET
m-817	44	11	chemical	chemical	NOUN
m-817	44	12	reaction	reaction	NOUN
m-817	44	13	between	between	ADP
m-817	44	14	a	a	DET
m-817	44	15	foreign	foreign	ADJ
m-817	44	16	mass	mass	NOUN
m-817	44	17	and	and	CCONJ
m-817	44	18	the	the	DET
m-817	44	19	fluid	fluid	NOUN
m-817	44	20	in	in	ADP
m-817	44	21	which	which	PRON
m-817	44	22	the	the	DET
m-817	44	23	plate	plate	NOUN
m-817	44	24	is	be	AUX
m-817	44	25	moving	move	VERB
m-817	44	26	.	.	PUNCT
m-817	45	1	these	these	DET
m-817	45	2	processes	process	NOUN
m-817	45	3	take	take	VERB
m-817	45	4	place	place	NOUN
m-817	45	5	in	in	ADP
m-817	45	6	numerous	numerous	ADJ
m-817	45	7	industrial	industrial	ADJ
m-817	45	8	applications	application	NOUN
m-817	45	9	viz	viz	PROPN
m-817	45	10	.	.	PROPN
m-817	45	11	,	,	PUNCT
m-817	45	12	polymer	polymer	NOUN
m-817	45	13	production	production	NOUN
m-817	45	14	,	,	PUNCT
m-817	45	15	manufacturing	manufacturing	NOUN
m-817	45	16	of	of	ADP
m-817	45	17	ceramics	ceramic	NOUN
m-817	45	18	or	or	CCONJ
m-817	45	19	glassware	glassware	NOUN
m-817	45	20	and	and	CCONJ
m-817	45	21	food	food	NOUN
m-817	45	22	processing	processing	NOUN
m-817	45	23	.	.	PUNCT
m-817	46	1	das	das	PROPN
m-817	46	2	et	et	PROPN
m-817	46	3	al[9	al[9	PROPN
m-817	46	4	]	]	PUNCT
m-817	46	5	have	have	AUX
m-817	46	6	studied	study	VERB
m-817	46	7	the	the	DET
m-817	46	8	effects	effect	NOUN
m-817	46	9	of	of	ADP
m-817	46	10	mass	mass	ADJ
m-817	46	11	transfer	transfer	NOUN
m-817	46	12	on	on	ADP
m-817	46	13	flow	flow	NOUN
m-817	46	14	past	past	ADP
m-817	46	15	an	an	DET
m-817	46	16	impulsively	impulsively	ADV
m-817	46	17	started	start	VERB
m-817	46	18	infinite	infinite	ADJ
m-817	46	19	vertical	vertical	ADJ
m-817	46	20	plate	plate	NOUN
m-817	46	21	with	with	ADP
m-817	46	22	constant	constant	ADJ
m-817	46	23	heat	heat	NOUN
m-817	46	24	flux	flux	NOUN
m-817	46	25	and	and	CCONJ
m-817	46	26	chemical	chemical	NOUN
m-817	46	27	reaction	reaction	NOUN
m-817	46	28	.	.	PUNCT
m-817	47	1	muthukumaraswamy[10	muthukumaraswamy[10	NOUN
m-817	47	2	]	]	PUNCT
m-817	47	3	has	have	AUX
m-817	47	4	studied	study	VERB
m-817	47	5	the	the	DET
m-817	47	6	effects	effect	NOUN
m-817	47	7	of	of	ADP
m-817	47	8	reaction	reaction	NOUN
m-817	47	9	on	on	ADP
m-817	47	10	a	a	DET
m-817	47	11	long	long	ADJ
m-817	47	12	surface	surface	NOUN
m-817	47	13	with	with	ADP
m-817	47	14	suction	suction	NOUN
m-817	47	15	.	.	PUNCT
m-817	48	1	radiation	radiation	NOUN
m-817	48	2	and	and	CCONJ
m-817	48	3	mass	mass	NOUN
m-817	48	4	transfer	transfer	NOUN
m-817	48	5	on	on	ADP
m-817	48	6	an	an	DET
m-817	48	7	unsteady	unsteady	ADJ
m-817	48	8	two	two	NUM
m-817	48	9	-	-	PUNCT
m-817	48	10	dimensional	dimensional	ADJ
m-817	48	11	laminar	laminar	ADJ
m-817	48	12	convective	convective	ADJ
m-817	48	13	boundary	boundary	ADJ
m-817	48	14	layer	layer	NOUN
m-817	48	15	flow	flow	NOUN
m-817	48	16	of	of	ADP
m-817	48	17	a	a	DET
m-817	48	18	viscous	viscous	ADJ
m-817	48	19	incompressible	incompressible	ADJ
m-817	48	20	chemically	chemically	ADV
m-817	48	21	reacting	react	VERB
m-817	48	22	fluid	fluid	NOUN
m-817	48	23	along	along	ADP
m-817	48	24	a	a	DET
m-817	48	25	semi	semi	ADJ
m-817	48	26	-	-	ADJ
m-817	48	27	infinite	infinite	ADJ
m-817	48	28	vertical	vertical	ADJ
m-817	48	29	plate	plate	NOUN
m-817	48	30	with	with	ADP
m-817	48	31	suction	suction	NOUN
m-817	48	32	by	by	ADP
m-817	48	33	taking	take	VERB
m-817	48	34	into	into	ADP
m-817	48	35	account	account	NOUN
m-817	48	36	the	the	DET
m-817	48	37	effects	effect	NOUN
m-817	48	38	of	of	ADP
m-817	48	39	viscous	viscous	ADJ
m-817	48	40	dissipation	dissipation	NOUN
m-817	48	41	.	.	PUNCT
m-817	49	1	kandaswamy	kandaswamy	PROPN
m-817	49	2	et	et	PROPN
m-817	49	3	al[11	al[11	PROPN
m-817	49	4	]	]	PUNCT
m-817	49	5	have	have	AUX
m-817	49	6	discussed	discuss	VERB
m-817	49	7	the	the	DET
m-817	49	8	effects	effect	NOUN
m-817	49	9	of	of	ADP
m-817	49	10	chemical	chemical	NOUN
m-817	49	11	reaction	reaction	NOUN
m-817	49	12	,	,	PUNCT
m-817	49	13	heat	heat	NOUN
m-817	49	14	and	and	CCONJ
m-817	49	15	mass	mass	NOUN
m-817	49	16	transfer	transfer	NOUN
m-817	49	17	on	on	ADP
m-817	49	18	boundary	boundary	ADJ
m-817	49	19	layer	layer	NOUN
m-817	49	20	flow	flow	NOUN
m-817	49	21	over	over	ADP
m-817	49	22	a	a	DET
m-817	49	23	porous	porous	ADJ
m-817	49	24	wedge	wedge	NOUN
m-817	49	25	with	with	ADP
m-817	49	26	heat	heat	NOUN
m-817	49	27	radiation	radiation	NOUN
m-817	49	28	in	in	ADP
m-817	49	29	the	the	DET
m-817	49	30	presence	presence	NOUN
m-817	49	31	of	of	ADP
m-817	49	32	suction	suction	NOUN
m-817	49	33	or	or	CCONJ
m-817	49	34	injection	injection	NOUN
m-817	49	35	.	.	PUNCT
m-817	50	1	the	the	DET
m-817	50	2	study	study	NOUN
m-817	50	3	of	of	ADP
m-817	50	4	heat	heat	NOUN
m-817	50	5	transfers	transfer	NOUN
m-817	50	6	and	and	CCONJ
m-817	50	7	mixed	mixed	ADJ
m-817	50	8	convection	convection	NOUN
m-817	50	9	flow	flow	NOUN
m-817	50	10	in	in	ADP
m-817	50	11	enclosures	enclosure	NOUN
m-817	50	12	of	of	ADP
m-817	50	13	various	various	ADJ
m-817	50	14	shapes	shape	NOUN
m-817	50	15	has	have	AUX
m-817	50	16	received	receive	VERB
m-817	50	17	attention	attention	NOUN
m-817	50	18	[	[	X
m-817	50	19	12	12	NUM
m-817	50	20	]	]	PUNCT
m-817	50	21	due	due	ADP
m-817	50	22	to	to	ADP
m-817	50	23	its	its	PRON
m-817	50	24	practical	practical	ADJ
m-817	50	25	applications	application	NOUN
m-817	50	26	.	.	PUNCT
m-817	51	1	interest	interest	NOUN
m-817	51	2	in	in	ADP
m-817	51	3	these	these	DET
m-817	51	4	convection	convection	NOUN
m-817	51	5	flow	flow	NOUN
m-817	51	6	and	and	CCONJ
m-817	51	7	heat	heat	NOUN
m-817	51	8	transfer	transfer	NOUN
m-817	51	9	in	in	ADP
m-817	51	10	porous	porous	ADJ
m-817	51	11	medium	medium	NOUN
m-817	51	12	has	have	AUX
m-817	51	13	been	be	AUX
m-817	51	14	motivated	motivate	VERB
m-817	51	15	by	by	ADP
m-817	51	16	a	a	DET
m-817	51	17	broad	broad	ADJ
m-817	51	18	range	range	NOUN
m-817	51	19	of	of	ADP
m-817	51	20	applications	application	NOUN
m-817	51	21	to	to	ADP
m-817	51	22	geothermal	geothermal	ADJ
m-817	51	23	systems	system	NOUN
m-817	51	24	,	,	PUNCT
m-817	51	25	crude	crude	ADJ
m-817	51	26	oil	oil	NOUN
m-817	51	27	production	production	NOUN
m-817	51	28	,	,	PUNCT
m-817	51	29	storage	storage	NOUN
m-817	51	30	of	of	ADP
m-817	51	31	nuclear	nuclear	ADJ
m-817	51	32	waste	waste	NOUN
m-817	51	33	materials	material	NOUN
m-817	51	34	,	,	PUNCT
m-817	51	35	ground	ground	NOUN
m-817	51	36	water	water	NOUN
m-817	51	37	pollution	pollution	NOUN
m-817	51	38	,	,	PUNCT
m-817	51	39	fiber	fiber	NOUN
m-817	51	40	and	and	CCONJ
m-817	51	41	granular	granular	ADJ
m-817	51	42	insulations	insulation	NOUN
m-817	51	43	solidification	solidification	NOUN
m-817	51	44	of	of	ADP
m-817	51	45	castings	casting	NOUN
m-817	51	46	.	.	PUNCT
m-817	52	1	in	in	ADP
m-817	52	2	a	a	DET
m-817	52	3	wide	wide	ADJ
m-817	52	4	range	range	NOUN
m-817	52	5	of	of	ADP
m-817	52	6	such	such	ADJ
m-817	52	7	problems	problem	NOUN
m-817	52	8	,	,	PUNCT
m-817	52	9	the	the	DET
m-817	52	10	physical	physical	ADJ
m-817	52	11	ijo	ijo	PROPN
m-817	52	12	journals	journal	NOUN
m-817	52	13	volume	volume	NOUN
m-817	52	14	07	07	NUM
m-817	52	15	|	|	NOUN
m-817	52	16	issue	issue	NOUN
m-817	52	17	03	03	NUM
m-817	53	1	|	|	ADV
m-817	53	2	march	march	PROPN
m-817	53	3	2024	2024	NUM
m-817	54	1	|	|	ADV
m-817	54	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	54	3	16	16	NUM
m-817	54	4	ijo	ijo	PROPN
m-817	54	5	international	international	PROPN
m-817	54	6	journal	journal	PROPN
m-817	54	7	of	of	ADP
m-817	54	8	mathematics	mathematics	PROPN
m-817	54	9	(	(	PUNCT
m-817	54	10	issn	issn	PROPN
m-817	54	11	:	:	PUNCT
m-817	54	12	2992	2992	NUM
m-817	54	13	-	-	SYM
m-817	54	14	4421	4421	NUM
m-817	54	15	)	)	PUNCT
m-817	54	16	dhananjaiah	dhananjaiah	PROPN
m-817	54	17	d.	d.	PROPN
m-817	54	18	s1	s1	PROPN
m-817	54	19	*	*	PUNCT
m-817	54	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	54	21	volume	volume	NOUN
m-817	54	22	07	07	NUM
m-817	54	23	issue	issue	NOUN
m-817	54	24	03	03	NUM
m-817	54	25	||	||	NUM
m-817	54	26	march	march	NOUN
m-817	54	27	,	,	PUNCT
m-817	54	28	2024	2024	NUM
m-817	54	29	||	||	NOUN
m-817	55	1	a	a	DET
m-817	55	2	mathematical	mathematical	ADJ
m-817	55	3	analysis	analysis	NOUN
m-817	55	4	of	of	ADP
m-817	55	5	oscillatory	oscillatory	ADJ
m-817	55	6	free	free	ADJ
m-817	55	7	convection	convection	NOUN
m-817	55	8	in	in	ADP
m-817	55	9	a	a	DET
m-817	55	10	vertical	vertical	ADJ
m-817	55	11	wavy	wavy	ADJ
m-817	55	12	channel	channel	NOUN
m-817	55	13	with	with	ADP
m-817	55	14	chemical	chemical	ADJ
m-817	55	15	reaction	reaction	NOUN
m-817	55	16	system	system	NOUN
m-817	55	17	can	can	AUX
m-817	55	18	be	be	AUX
m-817	55	19	modeled	model	VERB
m-817	55	20	as	as	ADP
m-817	55	21	a	a	DET
m-817	55	22	two	two	NUM
m-817	55	23	-	-	PUNCT
m-817	55	24	dimensional	dimensional	ADJ
m-817	55	25	rectangular	rectangular	ADJ
m-817	55	26	enclosure	enclosure	NOUN
m-817	55	27	with	with	ADP
m-817	55	28	vertical	vertical	ADJ
m-817	55	29	walls	wall	NOUN
m-817	55	30	held	hold	VERB
m-817	55	31	at	at	ADP
m-817	55	32	different	different	ADJ
m-817	55	33	temperatures	temperature	NOUN
m-817	55	34	and	and	CCONJ
m-817	55	35	the	the	DET
m-817	55	36	connecting	connect	VERB
m-817	55	37	adiabatic	adiabatic	ADJ
m-817	55	38	horizontal	horizontal	ADJ
m-817	55	39	walls	wall	NOUN
m-817	55	40	.	.	PUNCT
m-817	56	1	convective	convective	ADJ
m-817	56	2	heat	heat	NOUN
m-817	56	3	transfers	transfer	NOUN
m-817	56	4	in	in	ADP
m-817	56	5	a	a	DET
m-817	56	6	rectangular	rectangular	ADJ
m-817	56	7	porous	porous	ADJ
m-817	56	8	duct	duct	NOUN
m-817	56	9	whose	whose	DET
m-817	56	10	vertical	vertical	ADJ
m-817	56	11	walls	wall	NOUN
m-817	56	12	are	be	AUX
m-817	56	13	maintained	maintain	VERB
m-817	56	14	at	at	ADP
m-817	56	15	two	two	NUM
m-817	56	16	different	different	ADJ
m-817	56	17	temperatures	temperature	NOUN
m-817	56	18	and	and	CCONJ
m-817	56	19	horizontal	horizontal	ADJ
m-817	56	20	walls	wall	NOUN
m-817	56	21	insulated	insulate	VERB
m-817	56	22	received	receive	VERB
m-817	56	23	attention	attention	NOUN
m-817	56	24	by	by	ADP
m-817	56	25	several	several	ADJ
m-817	56	26	investigators	investigator	NOUN
m-817	56	27	[	[	X
m-817	56	28	13	13	NUM
m-817	56	29	]	]	PUNCT
m-817	56	30	.	.	PUNCT
m-817	57	1	furthermore	furthermore	ADV
m-817	57	2	,	,	PUNCT
m-817	57	3	in	in	ADP
m-817	57	4	references	reference	NOUN
m-817	57	5	[	[	X
m-817	57	6	14	14	NUM
m-817	57	7	and	and	CCONJ
m-817	57	8	15	15	NUM
m-817	57	9	]	]	X
m-817	57	10	numerical	numerical	ADJ
m-817	57	11	results	result	NOUN
m-817	57	12	are	be	AUX
m-817	57	13	being	be	AUX
m-817	57	14	presented	present	VERB
m-817	57	15	.	.	PUNCT
m-817	58	1	coupled	couple	VERB
m-817	58	2	heat	heat	NOUN
m-817	58	3	and	and	CCONJ
m-817	58	4	mass	mass	NOUN
m-817	58	5	transfer	transfer	NOUN
m-817	58	6	phenomenon	phenomenon	NOUN
m-817	58	7	in	in	ADP
m-817	58	8	porous	porous	ADJ
m-817	58	9	media	medium	NOUN
m-817	58	10	is	be	AUX
m-817	58	11	gaining	gain	VERB
m-817	58	12	attention	attention	NOUN
m-817	58	13	due	due	ADP
m-817	58	14	to	to	ADP
m-817	58	15	its	its	PRON
m-817	58	16	interesting	interesting	ADJ
m-817	58	17	applications	application	NOUN
m-817	58	18	.	.	PUNCT
m-817	59	1	the	the	DET
m-817	59	2	flow	flow	NOUN
m-817	59	3	phenomenon	phenomenon	NOUN
m-817	59	4	is	be	AUX
m-817	59	5	relatively	relatively	ADV
m-817	59	6	complex	complex	ADJ
m-817	59	7	rather	rather	ADV
m-817	59	8	than	than	ADP
m-817	59	9	that	that	PRON
m-817	59	10	of	of	ADP
m-817	59	11	the	the	DET
m-817	59	12	pure	pure	ADJ
m-817	59	13	thermal	thermal	ADJ
m-817	59	14	convection	convection	NOUN
m-817	59	15	process	process	NOUN
m-817	59	16	.	.	PUNCT
m-817	60	1	underground	underground	ADJ
m-817	60	2	spreading	spread	VERB
m-817	60	3	chemical	chemical	NOUN
m-817	60	4	wastes	waste	NOUN
m-817	60	5	and	and	CCONJ
m-817	60	6	other	other	ADJ
m-817	60	7	pollutants	pollutant	NOUN
m-817	60	8	,	,	PUNCT
m-817	60	9	grain	grain	NOUN
m-817	60	10	storage	storage	NOUN
m-817	60	11	,	,	PUNCT
m-817	60	12	evaporation	evaporation	NOUN
m-817	60	13	cooling	cooling	NOUN
m-817	60	14	and	and	CCONJ
m-817	60	15	solidification	solidification	NOUN
m-817	60	16	are	be	AUX
m-817	60	17	the	the	DET
m-817	60	18	few	few	ADJ
m-817	60	19	other	other	ADJ
m-817	60	20	application	application	NOUN
m-817	60	21	areas	area	NOUN
m-817	60	22	where	where	SCONJ
m-817	60	23	the	the	DET
m-817	60	24	combined	combined	ADJ
m-817	60	25	thermo	thermo	NOUN
m-817	60	26	-	-	PUNCT
m-817	60	27	solutal	solutal	ADJ
m-817	60	28	natural	natural	ADJ
m-817	60	29	convection	convection	NOUN
m-817	60	30	in	in	ADP
m-817	60	31	porous	porous	ADJ
m-817	60	32	media	medium	NOUN
m-817	60	33	are	be	AUX
m-817	60	34	observed	observe	VERB
m-817	60	35	.	.	PUNCT
m-817	61	1	combined	combine	VERB
m-817	61	2	heat	heat	NOUN
m-817	61	3	and	and	CCONJ
m-817	61	4	mass	mass	NOUN
m-817	61	5	transfer	transfer	NOUN
m-817	61	6	by	by	ADP
m-817	61	7	free	free	ADJ
m-817	61	8	convection	convection	NOUN
m-817	61	9	under	under	ADP
m-817	61	10	boundary	boundary	ADJ
m-817	61	11	layer	layer	NOUN
m-817	61	12	approximations	approximation	NOUN
m-817	61	13	has	have	AUX
m-817	61	14	been	be	AUX
m-817	61	15	studied	study	VERB
m-817	61	16	by	by	ADP
m-817	61	17	bejan	bejan	NOUN
m-817	61	18	and	and	CCONJ
m-817	61	19	khair[16],lai	khair[16],lai	PROPN
m-817	61	20	and	and	CCONJ
m-817	61	21	kulacki[17].the	kulacki[17].the	DET
m-817	61	22	free	free	ADJ
m-817	61	23	convection	convection	NOUN
m-817	61	24	heat	heat	NOUN
m-817	61	25	and	and	CCONJ
m-817	61	26	mass	mass	NOUN
m-817	61	27	transfer	transfer	NOUN
m-817	61	28	in	in	ADP
m-817	61	29	a	a	DET
m-817	61	30	porous	porous	ADJ
m-817	61	31	enclosure	enclosure	NOUN
m-817	61	32	has	have	AUX
m-817	61	33	been	be	AUX
m-817	61	34	studied	study	VERB
m-817	61	35	recently	recently	ADV
m-817	61	36	by	by	ADP
m-817	61	37	angirasa	angirasa	PROPN
m-817	61	38	et	et	NOUN
m-817	61	39	al[18	al[18	PROPN
m-817	61	40	]	]	PUNCT
m-817	61	41	.	.	PUNCT
m-817	62	1	the	the	DET
m-817	62	2	combined	combine	VERB
m-817	62	3	effects	effect	NOUN
m-817	62	4	of	of	ADP
m-817	62	5	thermal	thermal	ADJ
m-817	62	6	and	and	CCONJ
m-817	62	7	mass	mass	ADJ
m-817	62	8	diffusion	diffusion	NOUN
m-817	62	9	in	in	ADP
m-817	62	10	channel	channel	NOUN
m-817	62	11	flows	flow	NOUN
m-817	62	12	has	have	AUX
m-817	62	13	been	be	AUX
m-817	62	14	studied	study	VERB
m-817	62	15	in	in	ADP
m-817	62	16	recent	recent	ADJ
m-817	62	17	times	time	NOUN
m-817	62	18	by	by	ADP
m-817	62	19	a	a	DET
m-817	62	20	few	few	ADJ
m-817	62	21	authors	author	NOUN
m-817	62	22	,	,	PUNCT
m-817	62	23	notably	notably	ADV
m-817	62	24	,	,	PUNCT
m-817	62	25	nelson	nelson	PROPN
m-817	62	26	and	and	CCONJ
m-817	62	27	wood	wood	NOUN
m-817	62	28	[	[	X
m-817	62	29	19	19	NUM
m-817	62	30	]	]	PUNCT
m-817	62	31	.	.	PUNCT
m-817	63	1	theoretical	theoretical	ADJ
m-817	63	2	and	and	CCONJ
m-817	63	3	experimental	experimental	ADJ
m-817	63	4	investigations	investigation	NOUN
m-817	63	5	of	of	ADP
m-817	63	6	natural	natural	ADJ
m-817	63	7	convection	convection	NOUN
m-817	63	8	mhd	mhd	NOUN
m-817	63	9	flow	flow	NOUN
m-817	63	10	over	over	ADP
m-817	63	11	a	a	DET
m-817	63	12	vertical	vertical	ADJ
m-817	63	13	porous	porous	ADJ
m-817	63	14	plate	plate	NOUN
m-817	63	15	in	in	ADP
m-817	63	16	presence	presence	NOUN
m-817	63	17	of	of	ADP
m-817	63	18	chemical	chemical	NOUN
m-817	63	19	reaction	reaction	NOUN
m-817	63	20	plays	play	VERB
m-817	63	21	an	an	DET
m-817	63	22	important	important	ADJ
m-817	63	23	role	role	NOUN
m-817	63	24	in	in	ADP
m-817	63	25	agriculture	agriculture	NOUN
m-817	63	26	,	,	PUNCT
m-817	63	27	geophysics	geophysic	NOUN
m-817	63	28	and	and	CCONJ
m-817	63	29	astrophysics	astrophysic	NOUN
m-817	63	30	.	.	PUNCT
m-817	64	1	to	to	PART
m-817	64	2	study	study	VERB
m-817	64	3	the	the	DET
m-817	64	4	underground	underground	ADJ
m-817	64	5	water	water	NOUN
m-817	64	6	resources	resource	NOUN
m-817	64	7	,	,	PUNCT
m-817	64	8	filtration	filtration	NOUN
m-817	64	9	and	and	CCONJ
m-817	64	10	water	water	NOUN
m-817	64	11	purification	purification	NOUN
m-817	64	12	process	process	NOUN
m-817	64	13	in	in	ADP
m-817	64	14	chemical	chemical	ADJ
m-817	64	15	engineering	engineering	NOUN
m-817	64	16	one	one	PRON
m-817	64	17	must	must	AUX
m-817	64	18	know	know	VERB
m-817	64	19	the	the	DET
m-817	64	20	concepts	concept	NOUN
m-817	64	21	of	of	ADP
m-817	64	22	the	the	DET
m-817	64	23	fluid	fluid	ADJ
m-817	64	24	flow	flow	NOUN
m-817	64	25	through	through	ADP
m-817	64	26	porous	porous	ADJ
m-817	64	27	medium	medium	NOUN
m-817	64	28	.	.	PUNCT
m-817	65	1	the	the	DET
m-817	65	2	porous	porous	ADJ
m-817	65	3	medium	medium	NOUN
m-817	65	4	is	be	AUX
m-817	65	5	like	like	ADP
m-817	65	6	a	a	DET
m-817	65	7	non	non	ADJ
m-817	65	8	homogeneous	homogeneous	ADJ
m-817	65	9	medium	medium	NOUN
m-817	65	10	but	but	CCONJ
m-817	65	11	for	for	ADP
m-817	65	12	the	the	DET
m-817	65	13	sake	sake	NOUN
m-817	65	14	of	of	ADP
m-817	65	15	analysis	analysis	NOUN
m-817	65	16	,	,	PUNCT
m-817	65	17	it	it	PRON
m-817	65	18	may	may	AUX
m-817	65	19	be	be	AUX
m-817	65	20	possible	possible	ADJ
m-817	65	21	to	to	PART
m-817	65	22	replace	replace	VERB
m-817	65	23	it	it	PRON
m-817	65	24	with	with	ADP
m-817	65	25	a	a	DET
m-817	65	26	homogeneous	homogeneous	ADJ
m-817	65	27	fluid	fluid	NOUN
m-817	65	28	.	.	PUNCT
m-817	66	1	oscillatory	oscillatory	ADJ
m-817	66	2	flows	flow	NOUN
m-817	66	3	are	be	AUX
m-817	66	4	associated	associate	VERB
m-817	66	5	with	with	ADP
m-817	66	6	high	high	ADJ
m-817	66	7	rates	rate	NOUN
m-817	66	8	of	of	ADP
m-817	66	9	heat	heat	NOUN
m-817	66	10	and	and	CCONJ
m-817	66	11	mass	mass	NOUN
m-817	66	12	transfer	transfer	NOUN
m-817	66	13	.	.	PUNCT
m-817	67	1	many	many	ADJ
m-817	67	2	studies	study	NOUN
m-817	67	3	have	have	AUX
m-817	67	4	been	be	AUX
m-817	67	5	done	do	VERB
m-817	67	6	to	to	PART
m-817	67	7	understand	understand	VERB
m-817	67	8	its	its	PRON
m-817	67	9	characteristics	characteristic	NOUN
m-817	67	10	in	in	ADP
m-817	67	11	different	different	ADJ
m-817	67	12	systems	system	NOUN
m-817	67	13	such	such	ADJ
m-817	67	14	as	as	ADP
m-817	67	15	pulse	pulse	NOUN
m-817	67	16	combustors	combustor	NOUN
m-817	67	17	and	and	CCONJ
m-817	67	18	reciprocating	reciprocating	NOUN
m-817	67	19	engines	engine	NOUN
m-817	67	20	.	.	PUNCT
m-817	68	1	many	many	ADJ
m-817	68	2	investigators	investigator	NOUN
m-817	68	3	reported	report	VERB
m-817	68	4	oscillatory	oscillatory	ADJ
m-817	68	5	flows	flow	NOUN
m-817	68	6	by	by	ADP
m-817	68	7	involving	involve	VERB
m-817	68	8	various	various	ADJ
m-817	68	9	physical	physical	ADJ
m-817	68	10	situations	situation	NOUN
m-817	68	11	.	.	PUNCT
m-817	69	1	2.mathematical	2.mathematical	NUM
m-817	69	2	model	model	NOUN
m-817	69	3	we	we	PRON
m-817	69	4	consider	consider	VERB
m-817	69	5	the	the	DET
m-817	69	6	motion	motion	NOUN
m-817	69	7	of	of	ADP
m-817	69	8	viscous	viscous	ADJ
m-817	69	9	,	,	PUNCT
m-817	69	10	incompressible	incompressible	ADJ
m-817	69	11	fluid	fluid	NOUN
m-817	69	12	through	through	ADP
m-817	69	13	a	a	DET
m-817	69	14	porous	porous	ADJ
m-817	69	15	medium	medium	NOUN
m-817	69	16	in	in	ADP
m-817	69	17	a	a	DET
m-817	69	18	vertical	vertical	ADJ
m-817	69	19	channel	channel	NOUN
m-817	69	20	bounded	bound	VERB
m-817	69	21	by	by	ADP
m-817	69	22	flat	flat	ADJ
m-817	69	23	walls	wall	NOUN
m-817	69	24	.	.	PUNCT
m-817	70	1	the	the	DET
m-817	70	2	thermal	thermal	ADJ
m-817	70	3	buoyancy	buoyancy	NOUN
m-817	70	4	in	in	ADP
m-817	70	5	the	the	DET
m-817	70	6	flow	flow	NOUN
m-817	70	7	field	field	NOUN
m-817	70	8	is	be	AUX
m-817	70	9	created	create	VERB
m-817	70	10	by	by	ADP
m-817	70	11	a	a	DET
m-817	70	12	traveling	travel	VERB
m-817	70	13	thermal	thermal	ADJ
m-817	70	14	wave	wave	NOUN
m-817	70	15	imposed	impose	VERB
m-817	70	16	on	on	ADP
m-817	70	17	the	the	DET
m-817	70	18	boundary	boundary	ADJ
m-817	70	19	wall	wall	NOUN
m-817	70	20	at	at	ADP
m-817	70	21	y	y	PROPN
m-817	70	22	=	=	PROPN
m-817	70	23	l	l	NOUN
m-817	70	24	while	while	SCONJ
m-817	70	25	the	the	DET
m-817	70	26	boundary	boundary	NOUN
m-817	70	27	at	at	ADP
m-817	70	28	y	y	PROPN
m-817	70	29	=	=	PUNCT
m-817	70	30	-l	-l	PROPN
m-817	70	31	is	be	AUX
m-817	70	32	maintained	maintain	VERB
m-817	70	33	at	at	ADP
m-817	70	34	constant	constant	ADJ
m-817	70	35	temperature	temperature	NOUN
m-817	70	36	t1	t1	NOUN
m-817	70	37	while	while	SCONJ
m-817	70	38	both	both	CCONJ
m-817	70	39	the	the	DET
m-817	70	40	walls	wall	NOUN
m-817	70	41	are	be	AUX
m-817	70	42	maintained	maintain	VERB
m-817	70	43	at	at	ADP
m-817	70	44	uniform	uniform	ADJ
m-817	70	45	concentration	concentration	NOUN
m-817	70	46	.	.	PUNCT
m-817	71	1	the	the	DET
m-817	71	2	boussinesq	boussinesq	ADJ
m-817	71	3	approximation	approximation	NOUN
m-817	71	4	is	be	AUX
m-817	71	5	used	use	VERB
m-817	71	6	so	so	SCONJ
m-817	71	7	that	that	SCONJ
m-817	71	8	the	the	DET
m-817	71	9	density	density	NOUN
m-817	71	10	variation	variation	NOUN
m-817	71	11	will	will	AUX
m-817	71	12	be	be	AUX
m-817	71	13	considered	consider	VERB
m-817	71	14	only	only	ADV
m-817	71	15	in	in	ADP
m-817	71	16	the	the	DET
m-817	71	17	buoyancy	buoyancy	NOUN
m-817	71	18	force	force	NOUN
m-817	71	19	.	.	PUNCT
m-817	72	1	we	we	PRON
m-817	72	2	choose	choose	VERB
m-817	72	3	a	a	DET
m-817	72	4	rectangular	rectangular	ADJ
m-817	72	5	cartesian	cartesian	ADJ
m-817	72	6	system	system	NOUN
m-817	72	7	0	0	NUM
m-817	73	1	(	(	PUNCT
m-817	73	2	x	x	NOUN
m-817	73	3	,	,	PUNCT
m-817	73	4	y	y	PROPN
m-817	73	5	)	)	PUNCT
m-817	73	6	with	with	ADP
m-817	73	7	xaxis	xaxis	PROPN
m-817	73	8	in	in	ADP
m-817	73	9	the	the	DET
m-817	73	10	vertical	vertical	ADJ
m-817	73	11	direction	direction	NOUN
m-817	73	12	and	and	CCONJ
m-817	73	13	y	y	NOUN
m-817	73	14	-	-	PUNCT
m-817	73	15	axis	axis	NOUN
m-817	73	16	normal	normal	ADJ
m-817	73	17	to	to	ADP
m-817	73	18	the	the	DET
m-817	73	19	walls	wall	NOUN
m-817	73	20	.	.	PUNCT
m-817	74	1	the	the	DET
m-817	74	2	walls	wall	NOUN
m-817	74	3	of	of	ADP
m-817	74	4	the	the	DET
m-817	74	5	channel	channel	NOUN
m-817	74	6	are	be	AUX
m-817	74	7	at	at	ADP
m-817	74	8	y=l	y=l	NOUN
m-817	74	9	.	.	PUNCT
m-817	75	1	the	the	DET
m-817	75	2	equations	equation	NOUN
m-817	75	3	governing	govern	VERB
m-817	75	4	the	the	DET
m-817	75	5	unsteady	unsteady	ADJ
m-817	75	6	flow	flow	NOUN
m-817	75	7	,	,	PUNCT
m-817	75	8	heat	heat	NOUN
m-817	75	9	and	and	CCONJ
m-817	75	10	mass	mass	NOUN
m-817	75	11	transfer	transfer	NOUN
m-817	75	12	in	in	ADP
m-817	75	13	terms	term	NOUN
m-817	75	14	of	of	ADP
m-817	75	15	stream	stream	NOUN
m-817	75	16	function	function	NOUN
m-817	75	17	.	.	X
m-817	75	18			PROPN
m-817	75	19			ADJ
m-817	75	20			NOUN
m-817	75	21			PROPN
m-817	75	22	2	2	NUM
m-817	75	23	0	0	NUM
m-817	75	24	0	0	NUM
m-817	75	25	4222	4222	NUM
m-817	75	26	)	)	PUNCT
m-817	75	27	(	(	PUNCT
m-817	75	28	)	)	PUNCT
m-817	75	29	(	(	PUNCT
m-817	75	30	)	)	PUNCT
m-817	75	31	(	(	PUNCT
m-817	75	32	]	]	X
m-817	75	33	)	)	PUNCT
m-817	75	34	(	(	PUNCT
m-817	75	35	)	)	PUNCT
m-817	75	36	(	(	PUNCT
m-817	75	37	)	)	PUNCT
m-817	76	1	[	[	X
m-817	76	2	(	(	PUNCT
m-817	76	3			PROPN
m-817	76	4			PROPN
m-817	76	5			PROPN
m-817	76	6	k	k	PROPN
m-817	76	7	ccg	ccg	PROPN
m-817	76	8	ttg	ttg	PROPN
m-817	76	9	y	y	PROPN
m-817	76	10	yxyyxt	yxyyxt	PROPN
m-817	76	11	(	(	PUNCT
m-817	76	12	2.1	2.1	NUM
m-817	76	13	)	)	PUNCT
m-817	76	14	)	)	PUNCT
m-817	76	15	(	(	PUNCT
m-817	76	16	)	)	PUNCT
m-817	76	17	(	(	PUNCT
m-817	76	18	)	)	PUNCT
m-817	76	19	(	(	PUNCT
m-817	76	20	1	1	NUM
m-817	76	21	2	2	NUM
m-817	76	22	oope	oope	NOUN
m-817	76	23	ccqttq	ccqttq	PROPN
m-817	76	24	yxxyt	yxxyt	PROPN
m-817	76	25	c	c	PROPN
m-817	76	26			PROPN
m-817	76	27			ADJ
m-817	76	28			ADJ
m-817	76	29			ADJ
m-817	76	30			ADJ
m-817	76	31			PROPN
m-817	76	32			PROPN
m-817	76	33			ADJ
m-817	76	34			PROPN
m-817	76	35			PROPN
m-817	76	36			PROPN
m-817	76	37			ADJ
m-817	76	38			ADJ
m-817	76	39			ADJ
m-817	76	40			NOUN
m-817	76	41			NOUN
m-817	76	42	(	(	PUNCT
m-817	76	43	2.2	2.2	NUM
m-817	76	44	)	)	PUNCT
m-817	76	45	)	)	PUNCT
m-817	76	46	(	(	PUNCT
m-817	76	47	)	)	PUNCT
m-817	76	48	(	(	PUNCT
m-817	76	49	1	1	NUM
m-817	76	50	2	2	NUM
m-817	76	51	occkd	occkd	NOUN
m-817	76	52	yxxyt	yxxyt	ADJ
m-817	76	53			NOUN
m-817	76	54			ADJ
m-817	76	55			ADJ
m-817	76	56			ADJ
m-817	76	57			ADJ
m-817	76	58			PROPN
m-817	76	59			PROPN
m-817	76	60			ADJ
m-817	76	61			PROPN
m-817	76	62			PROPN
m-817	76	63			VERB
m-817	76	64			ADJ
m-817	76	65			ADJ
m-817	76	66			NOUN
m-817	76	67			PROPN
m-817	76	68	(	(	PUNCT
m-817	76	69	2.3	2.3	NUM
m-817	76	70	)	)	PUNCT
m-817	76	71	ijo	ijo	PROPN
m-817	76	72	journals	journal	NOUN
m-817	76	73	volume	volume	NOUN
m-817	76	74	07	07	NUM
m-817	76	75	|	|	NOUN
m-817	76	76	issue	issue	NOUN
m-817	76	77	03	03	NUM
m-817	77	1	|	|	ADV
m-817	77	2	march	march	PROPN
m-817	77	3	2024	2024	NUM
m-817	78	1	|	|	ADV
m-817	78	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	78	3	17	17	NUM
m-817	78	4	ijo	ijo	PROPN
m-817	78	5	international	international	PROPN
m-817	78	6	journal	journal	PROPN
m-817	78	7	of	of	ADP
m-817	78	8	mathematics	mathematics	PROPN
m-817	78	9	(	(	PUNCT
m-817	78	10	issn	issn	PROPN
m-817	78	11	:	:	PUNCT
m-817	78	12	2992	2992	NUM
m-817	78	13	-	-	SYM
m-817	78	14	4421	4421	NUM
m-817	78	15	)	)	PUNCT
m-817	78	16	dhananjaiah	dhananjaiah	PROPN
m-817	78	17	d.	d.	PROPN
m-817	78	18	s1	s1	PROPN
m-817	78	19	*	*	PUNCT
m-817	78	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	78	21	volume	volume	NOUN
m-817	78	22	07	07	NUM
m-817	78	23	issue	issue	NOUN
m-817	78	24	03	03	NUM
m-817	78	25	||	||	NUM
m-817	78	26	march	march	NOUN
m-817	78	27	,	,	PUNCT
m-817	78	28	2024	2024	NUM
m-817	78	29	||	||	NOUN
m-817	79	1	a	a	DET
m-817	79	2	mathematical	mathematical	ADJ
m-817	79	3	analysis	analysis	NOUN
m-817	79	4	of	of	ADP
m-817	79	5	oscillatory	oscillatory	ADJ
m-817	79	6	free	free	ADJ
m-817	79	7	convection	convection	NOUN
m-817	79	8	in	in	ADP
m-817	79	9	a	a	DET
m-817	79	10	vertical	vertical	ADJ
m-817	79	11	wavy	wavy	ADJ
m-817	79	12	channel	channel	NOUN
m-817	79	13	with	with	ADP
m-817	79	14	chemical	chemical	ADJ
m-817	79	15	reaction	reaction	NOUN
m-817	79	16	the	the	DET
m-817	79	17	boundary	boundary	ADJ
m-817	79	18	conditions	condition	NOUN
m-817	79	19	for	for	ADP
m-817	79	20	the	the	DET
m-817	79	21	velocity	velocity	NOUN
m-817	79	22	and	and	CCONJ
m-817	79	23	temperature	temperature	NOUN
m-817	79	24	fields	field	NOUN
m-817	79	25	are	be	AUX
m-817	79	26	11	11	NUM
m-817	79	27	,	,	PUNCT
m-817	79	28	,	,	PUNCT
m-817	79	29	0	0	NUM
m-817	79	30	,	,	PUNCT
m-817	79	31	0	0	NUM
m-817	79	32	cctt	cctt	PROPN
m-817	79	33	xy	xy	PROPN
m-817	79	34			VERB
m-817	79	35			ADJ
m-817	79	36			ADJ
m-817	79	37			PROPN
m-817	79	38			ADJ
m-817	79	39			PROPN
m-817	79	40			PROPN
m-817	79	41	on	on	ADP
m-817	79	42	y	y	PROPN
m-817	79	43	=	=	SYM
m-817	80	1	-l	-l	PROPN
m-817	80	2	22	22	NUM
m-817	80	3	)	)	PUNCT
m-817	80	4	,	,	PUNCT
m-817	80	5	(	(	PUNCT
m-817	80	6	,	,	PUNCT
m-817	80	7	0	0	NUM
m-817	80	8	,	,	PUNCT
m-817	80	9	0	0	NUM
m-817	81	1	ccntmxsinttt	ccntmxsinttt	NOUN
m-817	81	2	xy	xy	X
m-817	82	1	e	e	PROPN
m-817	82	2			PROPN
m-817	82	3			ADJ
m-817	82	4			ADJ
m-817	82	5			PROPN
m-817	82	6			ADJ
m-817	82	7			PROPN
m-817	82	8			PROPN
m-817	82	9	on	on	ADP
m-817	82	10	y	y	PROPN
m-817	82	11	=	=	SYM
m-817	82	12	l	l	PROPN
m-817	82	13	(	(	PUNCT
m-817	82	14	2.4	2.4	NUM
m-817	82	15	)	)	PUNCT
m-817	82	16	introducing	introduce	VERB
m-817	82	17	the	the	DET
m-817	82	18	non	non	ADJ
m-817	82	19	-	-	ADJ
m-817	82	20	dimensional	dimensional	ADJ
m-817	82	21	variables	variable	NOUN
m-817	82	22	as	as	ADP
m-817	82	23	21	21	NUM
m-817	82	24	2	2	NUM
m-817	82	25	21	21	NUM
m-817	82	26	22	22	NUM
m-817	82	27	,	,	PUNCT
m-817	82	28	,	,	PUNCT
m-817	82	29	/,,/	/,,/	PROPN
m-817	82	30	,	,	PUNCT
m-817	82	31	cc	cc	ADP
m-817	82	32	cc	cc	ADP
m-817	82	33	tt	tt	PROPN
m-817	82	34	tt	tt	PROPN
m-817	82	35	mttlyymxx	mttlyymxx	PROPN
m-817	82	36			PROPN
m-817	82	37			PROPN
m-817	82	38			PROPN
m-817	82	39			PROPN
m-817	82	40			NOUN
m-817	82	41			NOUN
m-817	82	42			PROPN
m-817	82	43	(	(	PUNCT
m-817	82	44	2.5	2.5	NUM
m-817	82	45	)	)	PUNCT
m-817	82	46	the	the	DET
m-817	82	47	governing	govern	VERB
m-817	82	48	equations	equation	NOUN
m-817	82	49	in	in	ADP
m-817	82	50	the	the	DET
m-817	82	51	non	non	ADJ
m-817	82	52	-	-	ADJ
m-817	82	53	dimensional	dimensional	ADJ
m-817	82	54	form	form	NOUN
m-817	82	55	(	(	PUNCT
m-817	82	56	after	after	ADP
m-817	82	57	dropping	drop	VERB
m-817	82	58	the	the	DET
m-817	82	59	dashes	dash	NOUN
m-817	82	60	)	)	PUNCT
m-817	82	61	are	be	AUX
m-817	82	62	2	2	NUM
m-817	82	63	2	2	NUM
m-817	82	64	22	22	NUM
m-817	82	65	1	1	NUM
m-817	82	66	14	14	NUM
m-817	82	67	1	1	NUM
m-817	82	68	2	2	NUM
m-817	82	69	12	12	NUM
m-817	82	70	1	1	NUM
m-817	82	71	)	)	PUNCT
m-817	82	72	)	)	PUNCT
m-817	82	73	(	(	PUNCT
m-817	82	74	(	(	PUNCT
m-817	82	75	)	)	PUNCT
m-817	82	76	)	)	PUNCT
m-817	82	77	,	,	PUNCT
m-817	82	78	(	(	PUNCT
m-817	82	79	)	)	PUNCT
m-817	82	80	,	,	PUNCT
m-817	82	81	(	(	PUNCT
m-817	82	82	)	)	PUNCT
m-817	82	83	(	(	PUNCT
m-817	82	84	(	(	PUNCT
m-817	82	85	y	y	PROPN
m-817	82	86	mdn	mdn	PROPN
m-817	82	87	r	r	NOUN
m-817	82	88	g	g	NOUN
m-817	82	89	yx	yx	NOUN
m-817	82	90	r	r	NOUN
m-817	82	91	yyt	yyt	NOUN
m-817	82	92			ADJ
m-817	82	93			ADJ
m-817	82	94			ADJ
m-817	82	95			PROPN
m-817	82	96			PROPN
m-817	82	97			PRON
m-817	82	98			PROPN
m-817	82	99			NUM
m-817	82	100			PROPN
m-817	82	101			X
m-817	83	1			X
m-817	83	2	(	(	PUNCT
m-817	83	3	2.6	2.6	NUM
m-817	83	4	)	)	PUNCT
m-817	83	5			NUM
m-817	83	6			X
m-817	83	7			ADJ
m-817	83	8	2	2	NUM
m-817	83	9	2	2	NUM
m-817	83	10	1	1	NUM
m-817	83	11	)	)	PUNCT
m-817	83	12	(	(	PUNCT
m-817	83	13	q	q	PROPN
m-817	83	14	yxxyt	yxxyt	VERB
m-817	83	15	p	p	NOUN
m-817	83	16			NOUN
m-817	83	17			ADJ
m-817	83	18			ADJ
m-817	83	19			ADJ
m-817	83	20			ADJ
m-817	83	21			PROPN
m-817	83	22			PROPN
m-817	83	23			ADJ
m-817	83	24			PROPN
m-817	83	25			PROPN
m-817	83	26			PROPN
m-817	83	27			ADJ
m-817	83	28			PROPN
m-817	83	29	(	(	PUNCT
m-817	83	30	2.7	2.7	NUM
m-817	83	31	)	)	PUNCT
m-817	83	32			NOUN
m-817	83	33			NUM
m-817	83	34			PROPN
m-817	83	35			PROPN
m-817	83	36			ADJ
m-817	83	37			ADJ
m-817	83	38			ADJ
m-817	83	39			ADJ
m-817	83	40			PROPN
m-817	83	41			PROPN
m-817	83	42			ADJ
m-817	83	43			PROPN
m-817	83	44			PROPN
m-817	83	45			VERB
m-817	83	46			PROPN
m-817	83	47			ADJ
m-817	83	48	2	2	NUM
m-817	83	49	1	1	NUM
m-817	83	50	)	)	PUNCT
m-817	83	51	(	(	PUNCT
m-817	83	52	yxxyt	yxxyt	PROPN
m-817	83	53	sc	sc	PROPN
m-817	83	54	(	(	PUNCT
m-817	83	55	2.8	2.8	NUM
m-817	83	56	)	)	PUNCT
m-817	83	57	where	where	SCONJ
m-817	83	58			INTJ
m-817	83	59	ul	ul	INTJ
m-817	83	60	r	r	NOUN
m-817	83	61			PROPN
m-817	83	62	(	(	PUNCT
m-817	83	63	reynolds	reynolds	PROPN
m-817	83	64	number	number	PROPN
m-817	83	65	)	)	PUNCT
m-817	83	66	2	2	NUM
m-817	83	67	3	3	NUM
m-817	83	68			NOUN
m-817	83	69			PROPN
m-817	83	70	ltg	ltg	PROPN
m-817	83	71	g	g	PROPN
m-817	83	72	e	e	PROPN
m-817	83	73			PROPN
m-817	83	74	(	(	PUNCT
m-817	83	75	grashof	grashof	ADJ
m-817	83	76	number	number	NOUN
m-817	83	77	)	)	PUNCT
m-817	83	78	1k	1k	NUM
m-817	83	79	c	c	NOUN
m-817	83	80	p	p	NUM
m-817	83	81			ADJ
m-817	83	82	(	(	PUNCT
m-817	83	83	prandtl	prandtl	NOUN
m-817	83	84	number	number	NOUN
m-817	83	85	)	)	PUNCT
m-817	83	86	,	,	PUNCT
m-817	83	87	k	k	PROPN
m-817	83	88	l	l	NOUN
m-817	83	89	d	d	NOUN
m-817	83	90	2	2	NUM
m-817	83	91	1	1	NUM
m-817	83	92			NOUN
m-817	83	93	(	(	PUNCT
m-817	83	94	darcy	darcy	PROPN
m-817	83	95	parameter	parameter	PROPN
m-817	83	96	)	)	PUNCT
m-817	83	97	,	,	PUNCT
m-817	83	98	1d	1d	NUM
m-817	83	99	sc	sc	PROPN
m-817	83	100			NOUN
m-817	83	101			PROPN
m-817	83	102	(	(	PUNCT
m-817	83	103	schmidt	schmidt	ADJ
m-817	83	104	number	number	NOUN
m-817	83	105	)	)	PUNCT
m-817	83	106	2	2	NUM
m-817	83	107	222	222	NUM
m-817	83	108	2	2	NUM
m-817	83	109			NOUN
m-817	83	110			PROPN
m-817	84	1	lh	lh	PROPN
m-817	84	2	m	m	VERB
m-817	84	3	oe	oe	PROPN
m-817	84	4	(	(	PUNCT
m-817	84	5	hartmann	hartmann	PROPN
m-817	84	6	number	number	NOUN
m-817	84	7	)	)	PUNCT
m-817	84	8			ADJ
m-817	84	9			NUM
m-817	84	10	2ql	2ql	ADJ
m-817	84	11			PROPN
m-817	84	12	(	(	PUNCT
m-817	84	13	heat	heat	NOUN
m-817	84	14	source	source	NOUN
m-817	84	15	parameter	parameter	NOUN
m-817	84	16	)	)	PUNCT
m-817	84	17	(	(	PUNCT
m-817	84	18	radiation	radiation	NOUN
m-817	84	19	absorption	absorption	NOUN
m-817	84	20	parameter	parameter	NOUN
m-817	84	21	)	)	PUNCT
m-817	84	22	1	1	NUM
m-817	84	23	2	2	NUM
m-817	84	24	1	1	NUM
m-817	84	25	1	1	NUM
m-817	84	26	d	d	NOUN
m-817	84	27	lk	lk	PROPN
m-817	84	28			PROPN
m-817	84	29	(	(	PUNCT
m-817	84	30	chemical	chemical	NOUN
m-817	84	31	reaction	reaction	NOUN
m-817	84	32	parameter	parameter	NOUN
m-817	84	33	)	)	PUNCT
m-817	84	34	lm	lm	PROPN
m-817	84	35	(	(	PUNCT
m-817	84	36	aspect	aspect	NOUN
m-817	84	37	ratio	ratio	NOUN
m-817	84	38	)	)	PUNCT
m-817	84	39	2	2	NUM
m-817	84	40	m	m	NOUN
m-817	84	41	n	n	NUM
m-817	84	42			NOUN
m-817	84	43			NUM
m-817	84	44			NUM
m-817	84	45	(	(	PUNCT
m-817	84	46	non	non	ADJ
m-817	84	47	-	-	ADJ
m-817	84	48	dimensional	dimensional	ADJ
m-817	84	49	thermal	thermal	ADJ
m-817	84	50	wave	wave	NOUN
m-817	84	51	velocity	velocity	NOUN
m-817	84	52	)	)	PUNCT
m-817	85	1	the	the	DET
m-817	85	2	corresponding	corresponding	ADJ
m-817	85	3	boundary	boundary	ADJ
m-817	85	4	conditions	condition	NOUN
m-817	85	5	are	be	AUX
m-817	85	6	1)1()1	1)1()1	NUM
m-817	85	7	(	(	PUNCT
m-817	85	8			PROPN
m-817	85	9			NOUN
m-817	85	10	10,0	10,0	NUM
m-817	85	11			PROPN
m-817	85	12			ADJ
m-817	85	13			ADJ
m-817	85	14			PROPN
m-817	85	15			PROPN
m-817	85	16			PROPN
m-817	85	17	yat	yat	PROPN
m-817	85	18	yx	yx	PROPN
m-817	85	19			PROPN
m-817	85	20	(	(	PUNCT
m-817	85	21	2.9	2.9	NUM
m-817	85	22	)	)	SYM
m-817	85	23	2	2	NUM
m-817	85	24	2	2	NUM
m-817	85	25	2	2	NUM
m-817	85	26	2	2	NUM
m-817	85	27	22	22	NUM
m-817	85	28	1	1	NUM
m-817	85	29	yx	yx	ADP
m-817	85	30			PROPN
m-817	85	31			PROPN
m-817	85	32			PROPN
m-817	85	33			PROPN
m-817	85	34			PROPN
m-817	85	35			X
m-817	86	1			PROPN
m-817	86	2	ijo	ijo	PROPN
m-817	86	3	journals	journal	NOUN
m-817	86	4	volume	volume	NOUN
m-817	86	5	07	07	NUM
m-817	86	6	|	|	NOUN
m-817	86	7	issue	issue	NOUN
m-817	86	8	03	03	NUM
m-817	87	1	|	|	ADV
m-817	87	2	march	march	PROPN
m-817	87	3	2024	2024	NUM
m-817	88	1	|	|	ADV
m-817	88	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	88	3	18	18	NUM
m-817	88	4	ijo	ijo	PROPN
m-817	88	5	international	international	ADJ
m-817	88	6	journal	journal	PROPN
m-817	88	7	of	of	ADP
m-817	88	8	mathematics	mathematics	PROPN
m-817	88	9	(	(	PUNCT
m-817	88	10	issn	issn	PROPN
m-817	88	11	:	:	PUNCT
m-817	88	12	2992	2992	NUM
m-817	88	13	-	-	SYM
m-817	88	14	4421	4421	NUM
m-817	88	15	)	)	PUNCT
m-817	88	16	dhananjaiah	dhananjaiah	PROPN
m-817	88	17	d.	d.	PROPN
m-817	88	18	s1	s1	PROPN
m-817	88	19	*	*	PUNCT
m-817	88	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	88	21	volume	volume	NOUN
m-817	88	22	07	07	NUM
m-817	88	23	issue	issue	NOUN
m-817	88	24	03	03	NUM
m-817	88	25	||	||	NUM
m-817	88	26	march	march	NOUN
m-817	88	27	,	,	PUNCT
m-817	88	28	2024	2024	NUM
m-817	88	29	||	||	NOUN
m-817	88	30	a	a	DET
m-817	88	31	mathematical	mathematical	ADJ
m-817	88	32	analysis	analysis	NOUN
m-817	88	33	of	of	ADP
m-817	88	34	oscillatory	oscillatory	ADJ
m-817	88	35	free	free	ADJ
m-817	88	36	convection	convection	NOUN
m-817	88	37	in	in	ADP
m-817	88	38	a	a	DET
m-817	88	39	vertical	vertical	ADJ
m-817	88	40	wavy	wavy	ADJ
m-817	88	41	channel	channel	NOUN
m-817	88	42	with	with	ADP
m-817	88	43	chemical	chemical	ADJ
m-817	88	44	reaction	reaction	NOUN
m-817	88	45	2.5	2.5	NUM
m-817	88	46	2.0	2.0	NUM
m-817	88	47	1.5	1.5	NUM
m-817	88	48	1.0	1.0	NUM
m-817	88	49	0.5	0.5	NUM
m-817	88	50	---u	---u	PROPN
m-817	88	51	r=5	r=5	PROPN
m-817	88	52	w	w	ADP
m-817	88	53	r=6	r=6	NOUN
m-817	88	54	r=7	r=7	NOUN
m-817	88	55	r=8	r=8	NOUN
m-817	88	56	r=9	r=9	VERB
m-817	88	57	0.2	0.2	NUM
m-817	88	58	0.4	0.4	NUM
m-817	88	59	0.6	0.6	NUM
m-817	88	60	0.8	0.8	NUM
m-817	88	61	1.0	1.0	NUM
m-817	88	62	2.5	2.5	NUM
m-817	88	63	2.0	2.0	NUM
m-817	88	64	1.5	1.5	NUM
m-817	88	65	1.0	1.0	NUM
m-817	88	66	0.5	0.5	NUM
m-817	88	67	----u	----u	PROPN
m-817	88	68	gm=	gm=	PROPN
m-817	88	69	10	10	NUM
m-817	88	70	gm=	gm=	PROPN
m-817	88	71	8	8	NUM
m-817	88	72	w	w	NOUN
m-817	88	73	gm=	gm=	PROPN
m-817	88	74	6	6	NUM
m-817	88	75	gm=	gm=	PROPN
m-817	88	76	4	4	NUM
m-817	88	77	gm=	gm=	PROPN
m-817	88	78	2	2	NUM
m-817	88	79	0.2	0.2	NUM
m-817	88	80	0.4	0.4	NUM
m-817	88	81	0.6	0.6	NUM
m-817	88	82	0.8	0.8	NUM
m-817	88	83	1.0	1.0	NUM
m-817	88	84	10	10	NUM
m-817	88	85	,	,	PUNCT
m-817	88	86	)	)	PUNCT
m-817	88	87	(	(	PUNCT
m-817	88	88	)	)	PUNCT
m-817	88	89	,	,	PUNCT
m-817	88	90	(	(	PUNCT
m-817	88	91	11,1	11,1	NUM
m-817	88	92	)	)	PUNCT
m-817	88	93	,	,	PUNCT
m-817	88	94	(	(	PUNCT
m-817	88	95			X
m-817	88	96			NUM
m-817	88	97	yonctxsinyx	yonctxsinyx	PROPN
m-817	88	98	yoncyx	yoncyx	PROPN
m-817	88	99			ADV
m-817	88	100			PROPN
m-817	88	101	1	1	NUM
m-817	88	102	,	,	PUNCT
m-817	88	103	)	)	PUNCT
m-817	88	104	(	(	PUNCT
m-817	88	105	)	)	PUNCT
m-817	88	106	,	,	PUNCT
m-817	88	107	(	(	PUNCT
m-817	88	108			NOUN
m-817	88	109	ctxsinyx	ctxsinyx	PROPN
m-817	88	110			NOUN
m-817	88	111	00,0	00,0	NOUN
m-817	88	112			NUM
m-817	88	113			ADJ
m-817	88	114			ADJ
m-817	88	115			PROPN
m-817	88	116			PROPN
m-817	88	117			PROPN
m-817	88	118	yat	yat	PROPN
m-817	88	119	y	y	PROPN
m-817	88	120	c	c	PROPN
m-817	88	121	y	y	PROPN
m-817	88	122			PROPN
m-817	88	123	(	(	PUNCT
m-817	88	124	2.10	2.10	NUM
m-817	88	125	)	)	PUNCT
m-817	88	126	the	the	DET
m-817	88	127	value	value	NOUN
m-817	88	128	of	of	ADP
m-817	88	129			NOUN
m-817	88	130	on	on	ADP
m-817	88	131	the	the	DET
m-817	88	132	boundary	boundary	NOUN
m-817	88	133	assumes	assume	VERB
m-817	88	134	the	the	DET
m-817	88	135	constant	constant	ADJ
m-817	88	136	volumetric	volumetric	NOUN
m-817	88	137	flow	flow	NOUN
m-817	88	138	in	in	ADP
m-817	88	139	consistent	consistent	ADJ
m-817	88	140	with	with	ADP
m-817	88	141	the	the	DET
m-817	88	142	hypothesis	hypothesis	NOUN
m-817	88	143	.	.	PUNCT
m-817	89	1	also	also	ADV
m-817	89	2	the	the	DET
m-817	89	3	wall	wall	NOUN
m-817	89	4	temperature	temperature	NOUN
m-817	89	5	varies	vary	VERB
m-817	89	6	in	in	ADP
m-817	89	7	the	the	DET
m-817	89	8	axial	axial	ADJ
m-817	89	9	direction	direction	NOUN
m-817	89	10	in	in	ADP
m-817	89	11	accordance	accordance	NOUN
m-817	89	12	with	with	ADP
m-817	89	13	the	the	DET
m-817	89	14	prescribed	prescribe	VERB
m-817	89	15	arbitrary	arbitrary	ADJ
m-817	89	16	function	function	NOUN
m-817	89	17	t.	t.	NOUN
m-817	89	18	3	3	NUM
m-817	89	19	.	.	PUNCT
m-817	89	20	nusselt	nusselt	NOUN
m-817	89	21	number	number	NOUN
m-817	89	22	and	and	CCONJ
m-817	89	23	sherwood	sherwood	PROPN
m-817	89	24	number	number	NOUN
m-817	89	25	knowing	know	VERB
m-817	89	26	the	the	DET
m-817	89	27	temperature	temperature	NOUN
m-817	89	28	&	&	CCONJ
m-817	89	29	concentration	concentration	NOUN
m-817	89	30	the	the	DET
m-817	89	31	local	local	ADJ
m-817	89	32	rate	rate	NOUN
m-817	89	33	of	of	ADP
m-817	89	34	heat	heat	NOUN
m-817	89	35	and	and	CCONJ
m-817	89	36	mass	mass	NOUN
m-817	89	37	transfer	transfer	NOUN
m-817	89	38	on	on	ADP
m-817	89	39	the	the	DET
m-817	89	40	walls	wall	NOUN
m-817	89	41	have	have	AUX
m-817	89	42	been	be	AUX
m-817	89	43	calculated	calculate	VERB
m-817	89	44	using	use	VERB
m-817	89	45	the	the	DET
m-817	89	46	formula	formula	NOUN
m-817	89	47	1	1	NUM
m-817	89	48	)	)	PUNCT
m-817	89	49	(	(	PUNCT
m-817	89	50	1	1	NUM
m-817	89	51			PROPN
m-817	89	52			ADJ
m-817	89	53			ADJ
m-817	89	54			VERB
m-817	89	55			NOUN
m-817	89	56	y	y	PROPN
m-817	89	57	wm	wm	PROPN
m-817	89	58	y	y	PROPN
m-817	89	59	nu	nu	PROPN
m-817	89	60			PROPN
m-817	90	1			PROPN
m-817	90	2	where	where	SCONJ
m-817	90	3			PUNCT
m-817	90	4			NOUN
m-817	90	5			NOUN
m-817	90	6	1	1	NUM
m-817	90	7	1	1	NUM
m-817	90	8	5.0	5.0	NUM
m-817	90	9	dym	dym	NOUN
m-817	90	10			PROPN
m-817	90	11	and	and	CCONJ
m-817	90	12	1	1	X
m-817	90	13	)	)	PUNCT
m-817	90	14	(	(	PUNCT
m-817	90	15	1	1	NUM
m-817	90	16			PROPN
m-817	90	17			ADJ
m-817	90	18			ADJ
m-817	90	19			VERB
m-817	90	20			NOUN
m-817	91	1	y	y	PROPN
m-817	91	2	wm	wm	PROPN
m-817	92	1	y	y	PROPN
m-817	92	2	c	c	PROPN
m-817	92	3	cc	cc	NOUN
m-817	92	4	sh	sh	INTJ
m-817	92	5	where	where	SCONJ
m-817	92	6			PUNCT
m-817	92	7			VERB
m-817	92	8			NOUN
m-817	92	9	1	1	NUM
m-817	92	10	1	1	NUM
m-817	92	11	5.0	5.0	NUM
m-817	92	12	dyccm	dyccm	NOUN
m-817	92	13	where	where	SCONJ
m-817	92	14	1421	1421	NUM
m-817	92	15	.......	.......	PUNCT
m-817	92	16	,	,	PUNCT
m-817	92	17	..........	..........	PUNCT
m-817	92	18	,	,	PUNCT
m-817	92	19	..........	..........	PUNCT
m-817	92	20	ddd	ddd	NOUN
m-817	92	21	are	be	AUX
m-817	92	22	constants	constant	NOUN
m-817	92	23	.	.	PUNCT
m-817	93	1	4	4	X
m-817	93	2	.	.	X
m-817	93	3	discussion	discussion	NOUN
m-817	93	4	of	of	ADP
m-817	93	5	the	the	DET
m-817	93	6	numerical	numerical	ADJ
m-817	93	7	results	result	NOUN
m-817	93	8	in	in	ADP
m-817	93	9	this	this	DET
m-817	93	10	analysis	analysis	NOUN
m-817	93	11	we	we	PRON
m-817	93	12	investigate	investigate	VERB
m-817	93	13	the	the	DET
m-817	93	14	effect	effect	NOUN
m-817	93	15	of	of	ADP
m-817	93	16	chemical	chemical	ADJ
m-817	93	17	reaction	reaction	NOUN
m-817	93	18	on	on	ADP
m-817	93	19	convective	convective	ADJ
m-817	93	20	heat	heat	NOUN
m-817	93	21	and	and	CCONJ
m-817	93	22	mass	mass	NOUN
m-817	93	23	transfer	transfer	NOUN
m-817	93	24	flow	flow	NOUN
m-817	93	25	of	of	ADP
m-817	93	26	a	a	DET
m-817	93	27	viscous	viscous	ADJ
m-817	93	28	fluid	fluid	NOUN
m-817	93	29	in	in	ADP
m-817	93	30	a	a	DET
m-817	93	31	vertical	vertical	ADJ
m-817	93	32	wavy	wavy	ADJ
m-817	93	33	channel	channel	NOUN
m-817	93	34	.	.	PUNCT
m-817	94	1	fig.1	fig.1	ADJ
m-817	94	2	velocity	velocity	NOUN
m-817	94	3	profile	profile	NOUN
m-817	94	4	for	for	ADP
m-817	94	5	various	various	ADJ
m-817	94	6	values	value	NOUN
m-817	94	7	of	of	ADP
m-817	94	8	chemical	chemical	ADJ
m-817	94	9	reaction	reaction	NOUN
m-817	94	10	fig.2	fig.2	VERB
m-817	94	11	velocity	velocity	NOUN
m-817	94	12	profile	profile	NOUN
m-817	94	13	for	for	ADP
m-817	94	14	various	various	ADJ
m-817	94	15	values	value	NOUN
m-817	94	16	of	of	ADP
m-817	94	17	grashof	grashof	ADJ
m-817	94	18	number	number	NOUN
m-817	94	19	increase	increase	NOUN
m-817	94	20	of	of	ADP
m-817	94	21	�	�	NOUN
m-817	94	22	2	2	NUM
m-817	94	23	(	(	PUNCT
m-817	94	24	rotation	rotation	NOUN
m-817	94	25	parameter	parameter	NOUN
m-817	94	26	)	)	PUNCT
m-817	94	27	increase	increase	VERB
m-817	94	28	the	the	DET
m-817	94	29	primary	primary	ADJ
m-817	94	30	velocity	velocity	NOUN
m-817	94	31	but	but	CCONJ
m-817	94	32	the	the	DET
m-817	94	33	reverse	reverse	ADJ
m-817	94	34	process	process	NOUN
m-817	94	35	exists	exist	VERB
m-817	94	36	for	for	ADP
m-817	94	37	the	the	DET
m-817	94	38	secondary	secondary	ADJ
m-817	94	39	velocity	velocity	NOUN
m-817	94	40	.	.	PUNCT
m-817	95	1	at	at	ADP
m-817	95	2	the	the	DET
m-817	95	3	same	same	ADJ
m-817	95	4	time	time	NOUN
m-817	95	5	in	in	ADP
m-817	95	6	certain	certain	ADJ
m-817	95	7	stage	stage	NOUN
m-817	95	8	after	after	SCONJ
m-817	95	9	that	that	DET
m-817	95	10	reverse	reverse	NOUN
m-817	95	11	processes	process	NOUN
m-817	95	12	exists	exist	VERB
m-817	95	13	for	for	ADP
m-817	95	14	the	the	DET
m-817	95	15	secondary	secondary	ADJ
m-817	95	16	velocity	velocity	NOUN
m-817	95	17	in	in	ADP
m-817	95	18	the	the	DET
m-817	95	19	fluid	fluid	NOUN
m-817	95	20	flow.the	flow.the	DET
m-817	95	21	increasing	increasing	NOUN
m-817	95	22	of	of	ADP
m-817	95	23	permeability	permeability	NOUN
m-817	95	24	parameter	parameter	PROPN
m-817	95	25	k.	k.	PROPN
m-817	95	26	,	,	PUNCT
m-817	95	27	grashof	grashof	ADJ
m-817	95	28	number	number	NOUN
m-817	95	29	for	for	ADP
m-817	95	30	heat	heat	NOUN
m-817	95	31	transfer	transfer	NOUN
m-817	95	32	gr(figs.1&2	gr(figs.1&2	PROPN
m-817	95	33	)	)	PUNCT
m-817	95	34	ijo	ijo	PROPN
m-817	95	35	journals	journal	NOUN
m-817	95	36	volume	volume	NOUN
m-817	95	37	07	07	NUM
m-817	95	38	|	|	NOUN
m-817	95	39	issue	issue	NOUN
m-817	95	40	03	03	NUM
m-817	96	1	|	|	ADV
m-817	96	2	march	march	PROPN
m-817	96	3	2024	2024	NUM
m-817	97	1	|	|	ADV
m-817	97	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	97	3	19	19	NUM
m-817	97	4	ijo	ijo	PROPN
m-817	97	5	international	international	PROPN
m-817	97	6	journal	journal	PROPN
m-817	97	7	of	of	ADP
m-817	97	8	mathematics	mathematics	PROPN
m-817	97	9	(	(	PUNCT
m-817	97	10	issn	issn	PROPN
m-817	97	11	:	:	PUNCT
m-817	97	12	2992	2992	NUM
m-817	97	13	-	-	SYM
m-817	97	14	4421	4421	NUM
m-817	97	15	)	)	PUNCT
m-817	97	16	dhananjaiah	dhananjaiah	PROPN
m-817	97	17	d.	d.	PROPN
m-817	97	18	s1	s1	PROPN
m-817	97	19	*	*	PUNCT
m-817	97	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	97	21	volume	volume	NOUN
m-817	97	22	07	07	NUM
m-817	97	23	issue	issue	NOUN
m-817	97	24	03	03	NUM
m-817	97	25	||	||	NUM
m-817	97	26	march	march	NOUN
m-817	97	27	,	,	PUNCT
m-817	97	28	2024	2024	NUM
m-817	97	29	||	||	NOUN
m-817	98	1	a	a	DET
m-817	98	2	mathematical	mathematical	ADJ
m-817	98	3	analysis	analysis	NOUN
m-817	98	4	of	of	ADP
m-817	98	5	oscillatory	oscillatory	ADJ
m-817	98	6	free	free	ADJ
m-817	98	7	convection	convection	NOUN
m-817	98	8	in	in	ADP
m-817	98	9	a	a	DET
m-817	98	10	vertical	vertical	ADJ
m-817	98	11	wavy	wavy	ADJ
m-817	98	12	channel	channel	NOUN
m-817	98	13	with	with	ADP
m-817	98	14	chemical	chemical	ADJ
m-817	98	15	reaction	reaction	NOUN
m-817	98	16	1.0	1.0	NUM
m-817	98	17	0.8	0.8	NUM
m-817	98	18	0.6	0.6	NUM
m-817	98	19	0.4	0.4	NUM
m-817	98	20	0.2	0.2	NUM
m-817	98	21	r=1.25	r=1.25	PROPN
m-817	98	22	r=2.25	r=2.25	PROPN
m-817	98	23	r=3.25	r=3.25	PROPN
m-817	99	1	r=4.25	r=4.25	PROPN
m-817	99	2	r=5.25	r=5.25	NOUN
m-817	99	3	0.2	0.2	NUM
m-817	99	4	0.4	0.4	NUM
m-817	99	5	0.6	0.6	NUM
m-817	99	6	0.8	0.8	NUM
m-817	99	7	1.0	1.0	NUM
m-817	99	8	1.0	1.0	NUM
m-817	99	9	0.8	0.8	NUM
m-817	99	10	0.6	0.6	NUM
m-817	99	11	0.4	0.4	NUM
m-817	99	12	0.2	0.2	NUM
m-817	99	13	pe=1.25	pe=1.25	ADJ
m-817	99	14	pe=2.25	pe=2.25	ADJ
m-817	99	15	pe=3.25	pe=3.25	NOUN
m-817	99	16	pe=4.25	pe=4.25	NOUN
m-817	99	17	pe=5.25	pe=5.25	VERB
m-817	99	18	1.0	1.0	NUM
m-817	99	19	0.8	0.8	NUM
m-817	99	20	0.6	0.6	NUM
m-817	99	21	0.4	0.4	NUM
m-817	99	22	0.2	0.2	NUM
m-817	99	23	r=1.0	r=1.0	NOUN
m-817	99	24	0.18	0.18	NUM
m-817	99	25	5	5	NUM
m-817	99	26	10	10	NUM
m-817	99	27	15	15	NUM
m-817	99	28	20	20	NUM
m-817	99	29	2	2	NUM
m-817	99	30	4	4	NUM
m-817	99	31	pe=5	pe=5	NOUN
m-817	99	32	6	6	NUM
m-817	99	33	8	8	NUM
m-817	99	34	10	10	NUM
m-817	99	35	12	12	NUM
m-817	99	36	14	14	NUM
m-817	99	37	r=1.25	r=1.25	PROPN
m-817	99	38	3.0	3.0	NUM
m-817	99	39	0.16	0.16	NUM
m-817	99	40	pe=4	pe=4	NOUN
m-817	99	41	0.14	0.14	NUM
m-817	99	42	2.5	2.5	NUM
m-817	99	43	pe=3	pe=3	NOUN
m-817	99	44	0.12	0.12	NUM
m-817	99	45	r=1.85	r=1.85	ADP
m-817	99	46	0.10	0.10	NUM
m-817	99	47	2.0	2.0	NUM
m-817	99	48	r=2.00	r=2.00	NOUN
m-817	99	49	pe=2	pe=2	VERB
m-817	99	50	0.08	0.08	NUM
m-817	99	51	1.5	1.5	NUM
m-817	99	52	0.06	0.06	NUM
m-817	99	53	r=2.25	r=2.25	ADJ
m-817	99	54	pe=1	pe=1	NOUN
m-817	99	55	fig.3	fig.3	PROPN
m-817	99	56	temperature	temperature	NOUN
m-817	99	57	profile	profile	NOUN
m-817	99	58	for	for	ADP
m-817	99	59	various	various	ADJ
m-817	99	60	values	value	NOUN
m-817	99	61	of	of	ADP
m-817	99	62	chemical	chemical	ADJ
m-817	99	63	reaction	reaction	NOUN
m-817	100	1	fig.4	fig.4	PRON
m-817	100	2	concentration	concentration	NOUN
m-817	100	3	profile	profile	NOUN
m-817	100	4	for	for	ADP
m-817	100	5	various	various	ADJ
m-817	100	6	values	value	NOUN
m-817	100	7	of	of	ADP
m-817	100	8	peclet	peclet	NOUN
m-817	100	9	number	number	NOUN
m-817	100	10	fig.3	fig.3	PROPN
m-817	100	11	shows	show	VERB
m-817	100	12	that	that	SCONJ
m-817	100	13	,	,	PUNCT
m-817	100	14	the	the	DET
m-817	100	15	increase	increase	NOUN
m-817	100	16	effects	effect	NOUN
m-817	100	17	of	of	ADP
m-817	100	18	temperature	temperature	NOUN
m-817	100	19	exists	exist	VERB
m-817	100	20	,	,	PUNCT
m-817	100	21	the	the	DET
m-817	100	22	reverse	reverse	NOUN
m-817	100	23	processes	process	NOUN
m-817	100	24	exists	exist	VERB
m-817	100	25	if	if	SCONJ
m-817	100	26	increase	increase	NOUN
m-817	100	27	of	of	ADP
m-817	100	28	chemical	chemical	ADJ
m-817	100	29	reaction	reaction	NOUN
m-817	100	30	parameter.concentration	parameter.concentration	NOUN
m-817	100	31	profile	profile	NOUN
m-817	100	32	shows	show	VERB
m-817	100	33	the	the	DET
m-817	100	34	decrease	decrease	NOUN
m-817	100	35	effects	effect	NOUN
m-817	100	36	while	while	SCONJ
m-817	100	37	increasing	increase	VERB
m-817	100	38	of	of	ADP
m-817	100	39	peclet	peclet	NOUN
m-817	100	40	number(fig.4	number(fig.4	NOUN
m-817	100	41	)	)	PUNCT
m-817	100	42	.	.	PUNCT
m-817	101	1	fig.5	fig.5	VERB
m-817	101	2	mass	mass	NOUN
m-817	101	3	flux	flux	NOUN
m-817	101	4	for	for	ADP
m-817	101	5	various	various	ADJ
m-817	101	6	value	value	NOUN
m-817	101	7	of	of	ADP
m-817	101	8	chemical	chemical	ADJ
m-817	101	9	reaction	reaction	NOUN
m-817	101	10	fig.6	fig.6	PROPN
m-817	101	11	heat	heat	NOUN
m-817	101	12	flux	flux	NOUN
m-817	101	13	for	for	ADP
m-817	101	14	various	various	ADJ
m-817	101	15	value	value	NOUN
m-817	101	16	of	of	ADP
m-817	101	17	peclet	peclet	NOUN
m-817	101	18	number	number	NOUN
m-817	101	19	mass	mass	PROPN
m-817	101	20	flux	flux	NOUN
m-817	101	21	shows	show	VERB
m-817	101	22	decrease	decrease	VERB
m-817	101	23	effects	effect	NOUN
m-817	101	24	while	while	SCONJ
m-817	101	25	increasing	increase	VERB
m-817	101	26	of	of	ADP
m-817	101	27	chemical	chemical	ADJ
m-817	101	28	reaction	reaction	NOUN
m-817	101	29	(	(	PUNCT
m-817	101	30	fig.5)	fig.5)	PROPN
m-817	101	31	..	..	SYM
m-817	101	32	heat	heat	NOUN
m-817	101	33	flux	flux	NOUN
m-817	101	34	shows	show	VERB
m-817	101	35	increasing	increase	VERB
m-817	101	36	effects	effect	NOUN
m-817	101	37	while	while	SCONJ
m-817	101	38	increase	increase	NOUN
m-817	101	39	of	of	ADP
m-817	101	40	peclet	peclet	NOUN
m-817	101	41	number(fig.6	number(fig.6	PROPN
m-817	101	42	)	)	PUNCT
m-817	101	43	.	.	PUNCT
m-817	102	1	the	the	DET
m-817	102	2	tables	table	NOUN
m-817	102	3	1–3	1–3	PROPN
m-817	102	4	symbolize	symbolize	NOUN
m-817	102	5	the	the	DET
m-817	102	6	skin	skin	NOUN
m-817	102	7	friction	friction	NOUN
m-817	102	8	,	,	PUNCT
m-817	102	9	nusselt	nusselt	NOUN
m-817	102	10	number	number	NOUN
m-817	102	11	and	and	CCONJ
m-817	102	12	sherwood	sherwood	NOUN
m-817	102	13	number	number	NOUN
m-817	102	14	for	for	ADP
m-817	102	15	dissimilar	dissimilar	ADJ
m-817	102	16	deviations	deviation	NOUN
m-817	102	17	in	in	ADP
m-817	102	18	the	the	DET
m-817	102	19	pertinent	pertinent	ADJ
m-817	102	20	parameters	parameter	NOUN
m-817	102	21	.	.	PUNCT
m-817	103	1	when	when	SCONJ
m-817	103	2	the	the	DET
m-817	103	3	magnetic	magnetic	ADJ
m-817	103	4	field	field	NOUN
m-817	103	5	is	be	AUX
m-817	103	6	large	large	ADJ
m-817	103	7	,	,	PUNCT
m-817	103	8	then	then	ADV
m-817	103	9	the	the	DET
m-817	103	10	hall	hall	PROPN
m-817	103	11	current	current	NOUN
m-817	103	12	will	will	AUX
m-817	103	13	be	be	AUX
m-817	103	14	developed	develop	VERB
m-817	103	15	in	in	ADP
m-817	103	16	the	the	DET
m-817	103	17	flow	flow	NOUN
m-817	103	18	field	field	NOUN
m-817	103	19	.	.	PUNCT
m-817	104	1	ijo	ijo	PROPN
m-817	104	2	journals	journal	NOUN
m-817	104	3	volume	volume	NOUN
m-817	104	4	07	07	NUM
m-817	104	5	|	|	NOUN
m-817	104	6	issue	issue	NOUN
m-817	104	7	03	03	NUM
m-817	105	1	|	|	ADV
m-817	105	2	march	march	PROPN
m-817	105	3	2024	2024	NUM
m-817	106	1	|	|	ADV
m-817	106	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	106	3	20	20	NUM
m-817	106	4	ijo	ijo	PROPN
m-817	106	5	international	international	ADJ
m-817	106	6	journal	journal	PROPN
m-817	106	7	of	of	ADP
m-817	106	8	mathematics	mathematics	PROPN
m-817	106	9	(	(	PUNCT
m-817	106	10	issn	issn	PROPN
m-817	106	11	:	:	PUNCT
m-817	106	12	2992	2992	NUM
m-817	106	13	-	-	SYM
m-817	106	14	4421	4421	NUM
m-817	106	15	)	)	PUNCT
m-817	106	16	dhananjaiah	dhananjaiah	PROPN
m-817	106	17	d.	d.	PROPN
m-817	106	18	s1	s1	PROPN
m-817	106	19	*	*	PUNCT
m-817	106	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	106	21	volume	volume	NOUN
m-817	106	22	07	07	NUM
m-817	106	23	issue	issue	NOUN
m-817	106	24	03	03	NUM
m-817	106	25	||	||	NUM
m-817	106	26	march	march	NOUN
m-817	106	27	,	,	PUNCT
m-817	106	28	2024	2024	NUM
m-817	106	29	||	||	NOUN
m-817	107	1	a	a	DET
m-817	107	2	mathematical	mathematical	ADJ
m-817	107	3	analysis	analysis	NOUN
m-817	107	4	of	of	ADP
m-817	107	5	oscillatory	oscillatory	ADJ
m-817	107	6	free	free	ADJ
m-817	107	7	convection	convection	NOUN
m-817	107	8	in	in	ADP
m-817	107	9	a	a	DET
m-817	107	10	vertical	vertical	ADJ
m-817	107	11	wavy	wavy	ADJ
m-817	107	12	channel	channel	NOUN
m-817	107	13	with	with	ADP
m-817	107	14	chemical	chemical	ADJ
m-817	107	15	reaction	reaction	NOUN
m-817	107	16	table.1	table.1	VERB
m-817	107	17	the	the	DET
m-817	107	18	shear	shear	NOUN
m-817	107	19	stresses	stress	VERB
m-817	107	20	m	m	VERB
m-817	107	21	k	k	NOUN
m-817	108	1	r	r	NOUN
m-817	109	1	pr	pr	NOUN
m-817	110	1	gr	gr	INTJ
m-817	110	2	gm	gm	PROPN
m-817	110	3	sc	sc	PROPN
m-817	110	4	kc	kc	PROPN
m-817	110	5	h	h	PROPN
m-817	110	6	q1	q1	PROPN
m-817	110	7	be	be	VERB
m-817	110	8	bi	bi	PROPN
m-817	110	9	s	s	PART
m-817	110	10	2	2	NUM
m-817	110	11	1	1	NUM
m-817	110	12	1	1	NUM
m-817	110	13	0.7	0.7	NUM
m-817	110	14	5	5	NUM
m-817	110	15	3	3	NUM
m-817	110	16	0.2	0.2	NUM
m-817	110	17	1	1	NUM
m-817	110	18	1	1	NUM
m-817	110	19	1	1	NUM
m-817	110	20	1	1	NUM
m-817	110	21	0	0	NUM
m-817	110	22	2.532394	2.532394	NUM
m-817	110	23	3	3	NUM
m-817	110	24	1.884042	1.884042	NUM
m-817	110	25	4	4	NUM
m-817	110	26	1.618128	1.618128	NUM
m-817	110	27	1	1	NUM
m-817	110	28	2.913229	2.913229	NUM
m-817	110	29	2	2	NUM
m-817	110	30	3.049695	3.049695	NUM
m-817	110	31	2	2	NUM
m-817	110	32	2.464944	2.464944	NUM
m-817	110	33	3	3	NUM
m-817	110	34	2.451027	2.451027	NUM
m-817	110	35	3	3	NUM
m-817	110	36	1.313291	1.313291	NUM
m-817	110	37	7	7	NUM
m-817	110	38	1.280852	1.280852	NUM
m-817	110	39	10	10	NUM
m-817	110	40	4.461883	4.461883	NUM
m-817	110	41	15	15	NUM
m-817	110	42	6.441776	6.441776	NUM
m-817	110	43	6	6	NUM
m-817	110	44	3.706505	3.706505	NUM
m-817	110	45	9	9	NUM
m-817	110	46	4.90861	4.90861	NUM
m-817	110	47	0.3	0.3	NUM
m-817	110	48	3.081731	3.081731	NUM
m-817	110	49	0.6	0.6	NUM
m-817	110	50	13.56434	13.56434	NUM
m-817	110	51	2	2	NUM
m-817	110	52	3.501852	3.501852	NUM
m-817	110	53	3	3	NUM
m-817	110	54	5.160271	5.160271	NUM
m-817	110	55	2	2	NUM
m-817	110	56	1.271224	1.271224	NUM
m-817	110	57	3	3	NUM
m-817	110	58	1.219895	1.219895	NUM
m-817	110	59	2	2	NUM
m-817	110	60	6.037402	6.037402	NUM
m-817	110	61	3	3	NUM
m-817	110	62	9.631637	9.631637	NUM
m-817	110	63	2	2	NUM
m-817	110	64	2.960489	2.960489	NUM
m-817	110	65	3	3	NUM
m-817	110	66	3.181527	3.181527	NUM
m-817	110	67	0	0	NUM
m-817	110	68	2.57465	2.57465	NUM
m-817	110	69	1	1	NUM
m-817	110	70	2.624382	2.624382	NUM
m-817	110	71	ijo	ijo	NOUN
m-817	110	72	journals	journal	NOUN
m-817	110	73	volume	volume	NOUN
m-817	110	74	07	07	NUM
m-817	111	1	|	|	NOUN
m-817	111	2	issue	issue	NOUN
m-817	111	3	03	03	NUM
m-817	112	1	|	|	ADV
m-817	112	2	march	march	PROPN
m-817	112	3	2024	2024	NUM
m-817	112	4	|	|	ADV
m-817	112	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	112	6	21	21	NUM
m-817	112	7	ijo	ijo	PROPN
m-817	112	8	international	international	ADJ
m-817	112	9	journal	journal	PROPN
m-817	112	10	of	of	ADP
m-817	112	11	mathematics	mathematics	PROPN
m-817	112	12	(	(	PUNCT
m-817	112	13	issn	issn	PROPN
m-817	112	14	:	:	PUNCT
m-817	112	15	2992	2992	NUM
m-817	112	16	-	-	SYM
m-817	112	17	4421	4421	NUM
m-817	112	18	)	)	PUNCT
m-817	112	19	dhananjaiah	dhananjaiah	PROPN
m-817	112	20	d.	d.	PROPN
m-817	112	21	s1	s1	PROPN
m-817	112	22	*	*	PUNCT
m-817	112	23	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	112	24	volume	volume	NOUN
m-817	112	25	07	07	NUM
m-817	112	26	issue	issue	NOUN
m-817	112	27	03	03	NUM
m-817	112	28	||	||	NUM
m-817	112	29	march	march	NOUN
m-817	112	30	,	,	PUNCT
m-817	112	31	2024	2024	NUM
m-817	112	32	||	||	NOUN
m-817	113	1	a	a	DET
m-817	113	2	mathematical	mathematical	ADJ
m-817	113	3	analysis	analysis	NOUN
m-817	113	4	of	of	ADP
m-817	113	5	oscillatory	oscillatory	ADJ
m-817	113	6	free	free	ADJ
m-817	113	7	convection	convection	NOUN
m-817	113	8	in	in	ADP
m-817	113	9	a	a	DET
m-817	113	10	vertical	vertical	ADJ
m-817	113	11	wavy	wavy	ADJ
m-817	113	12	channel	channel	NOUN
m-817	113	13	with	with	ADP
m-817	113	14	chemical	chemical	ADJ
m-817	113	15	reaction	reaction	NOUN
m-817	113	16	table.2	table.2	ADP
m-817	113	17	the	the	DET
m-817	113	18	nusselt	nusselt	NOUN
m-817	113	19	number	number	NOUN
m-817	113	20	kc	kc	PROPN
m-817	113	21	ql	ql	PROPN
m-817	113	22	sc	sc	PROPN
m-817	113	23	h	h	NOUN
m-817	113	24	pr	pr	NOUN
m-817	114	1	n	n	ADV
m-817	114	2	t	t	X
m-817	114	3	nu	nu	NOUN
m-817	114	4	1	1	NUM
m-817	114	5	1	1	NUM
m-817	114	6	0.22	0.22	NUM
m-817	114	7	1	1	NUM
m-817	114	8	0.71	0.71	NUM
m-817	114	9	0.5	0.5	NUM
m-817	114	10	0.5	0.5	NUM
m-817	114	11	0.727227	0.727227	NUM
m-817	114	12	2	2	NUM
m-817	114	13	0.850651	0.850651	NUM
m-817	114	14	3	3	NUM
m-817	114	15	0.924433	0.924433	NUM
m-817	114	16	2	2	NUM
m-817	114	17	-0.14204	-0.14204	NOUN
m-817	114	18	3	3	NUM
m-817	114	19	-0.0117	-0.0117	VERB
m-817	114	20	0.3	0.3	NUM
m-817	114	21	0.813039	0.813039	NUM
m-817	114	22	0.6	0.6	NUM
m-817	114	23	1.004183	1.004183	NUM
m-817	114	24	2	2	NUM
m-817	114	25	1.249786	1.249786	NUM
m-817	114	26	3	3	NUM
m-817	114	27	1.60923	1.60923	NUM
m-817	114	28	3	3	NUM
m-817	114	29	3.39786	3.39786	NUM
m-817	114	30	7	7	NUM
m-817	114	31	7.54639	7.54639	NUM
m-817	114	32	1	1	NUM
m-817	114	33	0.72799	0.72799	NUM
m-817	114	34	1.5	1.5	NUM
m-817	114	35	0.728996	0.728996	NUM
m-817	114	36	1	1	NUM
m-817	114	37	0.727683	0.727683	NUM
m-817	114	38	1.5	1.5	NUM
m-817	114	39	0.72827	0.72827	NUM
m-817	114	40	table.3	table.3	PROPN
m-817	114	41	.	.	PUNCT
m-817	115	1	the	the	DET
m-817	115	2	sherwood	sherwood	PROPN
m-817	115	3	number	number	NOUN
m-817	115	4	kc	kc	PROPN
m-817	115	5	sc	sc	PROPN
m-817	115	6	n	n	ADV
m-817	115	7	t	t	NOUN
m-817	115	8	sh	sh	INTJ
m-817	115	9	1	1	NUM
m-817	115	10	0.22	0.22	NUM
m-817	115	11	0.5	0.5	NUM
m-817	115	12	0.5	0.5	NUM
m-817	115	13	0.715581	0.715581	NUM
m-817	115	14	2	2	NUM
m-817	115	15	0.90641	0.90641	NUM
m-817	115	16	3	3	NUM
m-817	115	17	1.054072	1.054072	NUM
m-817	115	18	0.3	0.3	NUM
m-817	115	19	0.841856	0.841856	NUM
m-817	115	20	0.6	0.6	NUM
m-817	115	21	1.25509	1.25509	NUM
m-817	115	22	1	1	NUM
m-817	115	23	0.715965	0.715965	NUM
m-817	115	24	1.5	1.5	NUM
m-817	115	25	0.716476	0.716476	NUM
m-817	115	26	1	1	NUM
m-817	115	27	0.715813	0.715813	NUM
m-817	115	28	1.5	1.5	NUM
m-817	115	29	0.716109	0.716109	NUM
m-817	116	1	the	the	DET
m-817	116	2	skin	skin	NOUN
m-817	116	3	friction	friction	NOUN
m-817	116	4	magnitudes	magnitude	NOUN
m-817	116	5	are	be	AUX
m-817	116	6	described	describe	VERB
m-817	116	7	in	in	ADP
m-817	116	8	table	table	NOUN
m-817	116	9	1	1	NUM
m-817	116	10	.	.	PUNCT
m-817	117	1	an	an	DET
m-817	117	2	increases	increase	NOUN
m-817	117	3	in	in	ADP
m-817	117	4	the	the	DET
m-817	117	5	hartmann	hartmann	PROPN
m-817	117	6	number	number	NOUN
m-817	117	7	precede	precede	VERB
m-817	117	8	decreases	decrease	NOUN
m-817	117	9	in	in	ADP
m-817	117	10	skin	skin	NOUN
m-817	117	11	friction	friction	NOUN
m-817	117	12	.	.	PUNCT
m-817	118	1	because	because	SCONJ
m-817	118	2	the	the	DET
m-817	118	3	frictional	frictional	ADJ
m-817	118	4	drag	drag	NOUN
m-817	118	5	was	be	AUX
m-817	118	6	decreased	decrease	VERB
m-817	118	7	by	by	ADP
m-817	118	8	the	the	DET
m-817	118	9	lorentz	lorentz	PROPN
m-817	118	10	effect	effect	NOUN
m-817	118	11	on	on	ADP
m-817	118	12	a	a	DET
m-817	118	13	viscous	viscous	ADJ
m-817	118	14	fluid	fluid	NOUN
m-817	118	15	.	.	PUNCT
m-817	119	1	an	an	DET
m-817	119	2	increase	increase	NOUN
m-817	119	3	in	in	ADP
m-817	119	4	the	the	DET
m-817	119	5	rotation	rotation	NOUN
m-817	119	6	parameter	parameter	NOUN
m-817	119	7	,	,	PUNCT
m-817	119	8	prandtl	prandtl	NOUN
m-817	119	9	number	number	NOUN
m-817	119	10	,	,	PUNCT
m-817	119	11	and	and	CCONJ
m-817	119	12	heat	heat	NOUN
m-817	119	13	source	source	NOUN
m-817	119	14	parameter	parameter	NOUN
m-817	119	15	is	be	AUX
m-817	119	16	used	use	VERB
m-817	119	17	to	to	PART
m-817	119	18	examine	examine	VERB
m-817	119	19	the	the	DET
m-817	119	20	comparable	comparable	ADJ
m-817	119	21	behavior	behavior	NOUN
m-817	119	22	.	.	PUNCT
m-817	120	1	furthermore	furthermore	ADV
m-817	120	2	,	,	PUNCT
m-817	120	3	an	an	DET
m-817	120	4	increase	increase	NOUN
m-817	120	5	in	in	ADP
m-817	120	6	the	the	DET
m-817	120	7	permeability	permeability	NOUN
m-817	120	8	parameter	parameter	NOUN
m-817	120	9	k	k	PROPN
m-817	120	10	leads	lead	VERB
m-817	120	11	to	to	ADP
m-817	120	12	increased	increase	VERB
m-817	120	13	skin	skin	NOUN
m-817	120	14	friction	friction	NOUN
m-817	120	15	in	in	ADP
m-817	120	16	significant	significant	ADJ
m-817	120	17	ways	way	NOUN
m-817	120	18	on	on	ADP
m-817	120	19	the	the	DET
m-817	120	20	surface	surface	NOUN
m-817	120	21	boundary	boundary	NOUN
m-817	120	22	.	.	PUNCT
m-817	121	1	similarly	similarly	ADV
m-817	121	2	,	,	PUNCT
m-817	121	3	increases	increase	NOUN
m-817	121	4	in	in	ADP
m-817	121	5	the	the	DET
m-817	121	6	radiation	radiation	NOUN
m-817	121	7	-	-	PUNCT
m-817	121	8	absorption	absorption	NOUN
m-817	121	9	parameter	parameter	NOUN
m-817	121	10	,	,	PUNCT
m-817	121	11	schmidt	schmidt	ADJ
m-817	121	12	number	number	NOUN
m-817	121	13	,	,	PUNCT
m-817	121	14	chemical	chemical	NOUN
m-817	121	15	reaction	reaction	NOUN
m-817	121	16	parameter	parameter	NOUN
m-817	121	17	,	,	PUNCT
m-817	121	18	thermal	thermal	ADJ
m-817	121	19	grashof	grashof	ADJ
m-817	121	20	number	number	NOUN
m-817	121	21	,	,	PUNCT
m-817	121	22	mass	mass	ADJ
m-817	121	23	grashof	grashof	ADJ
m-817	121	24	number	number	NOUN
m-817	121	25	,	,	PUNCT
m-817	121	26	hall	hall	NOUN
m-817	121	27	,	,	PUNCT
m-817	121	28	and	and	CCONJ
m-817	121	29	ion	ion	NOUN
m-817	121	30	slip	slip	NOUN
m-817	121	31	parameters	parameter	NOUN
m-817	121	32	ijo	ijo	PROPN
m-817	121	33	journals	journals	PROPN
m-817	121	34	volume	volume	NOUN
m-817	121	35	07	07	NUM
m-817	121	36	|	|	NOUN
m-817	121	37	issue	issue	NOUN
m-817	121	38	03	03	NUM
m-817	122	1	|	|	ADV
m-817	122	2	march	march	PROPN
m-817	122	3	2024	2024	NUM
m-817	123	1	|	|	ADV
m-817	123	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	123	3	22	22	NUM
m-817	123	4	ijo	ijo	PROPN
m-817	123	5	international	international	PROPN
m-817	123	6	journal	journal	PROPN
m-817	123	7	of	of	ADP
m-817	123	8	mathematics	mathematics	PROPN
m-817	123	9	(	(	PUNCT
m-817	123	10	issn	issn	PROPN
m-817	123	11	:	:	PUNCT
m-817	123	12	2992	2992	NUM
m-817	123	13	-	-	SYM
m-817	123	14	4421	4421	NUM
m-817	123	15	)	)	PUNCT
m-817	123	16	dhananjaiah	dhananjaiah	PROPN
m-817	123	17	d.	d.	PROPN
m-817	123	18	s1	s1	PROPN
m-817	123	19	*	*	PUNCT
m-817	123	20	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	123	21	volume	volume	NOUN
m-817	123	22	07	07	NUM
m-817	123	23	issue	issue	NOUN
m-817	123	24	03	03	NUM
m-817	123	25	||	||	NUM
m-817	123	26	march	march	NOUN
m-817	123	27	,	,	PUNCT
m-817	123	28	2024	2024	NUM
m-817	123	29	||	||	NOUN
m-817	123	30	a	a	DET
m-817	123	31	mathematical	mathematical	ADJ
m-817	123	32	analysis	analysis	NOUN
m-817	123	33	of	of	ADP
m-817	123	34	oscillatory	oscillatory	ADJ
m-817	123	35	free	free	ADJ
m-817	123	36	convection	convection	NOUN
m-817	123	37	in	in	ADP
m-817	123	38	a	a	DET
m-817	123	39	vertical	vertical	ADJ
m-817	123	40	wavy	wavy	ADJ
m-817	123	41	channel	channel	NOUN
m-817	123	42	with	with	ADP
m-817	123	43	chemical	chemical	ADJ
m-817	123	44	reaction	reaction	NOUN
m-817	123	45	near	near	ADP
m-817	123	46	the	the	DET
m-817	123	47	surface	surface	NOUN
m-817	123	48	boundary	boundary	NOUN
m-817	123	49	are	be	AUX
m-817	123	50	examined	examine	VERB
m-817	123	51	for	for	ADP
m-817	123	52	the	the	DET
m-817	123	53	same	same	ADJ
m-817	123	54	effect	effect	NOUN
m-817	123	55	.	.	PUNCT
m-817	124	1	table	table	NOUN
m-817	124	2	2	2	NUM
m-817	124	3	indicates	indicate	VERB
m-817	124	4	that	that	SCONJ
m-817	124	5	an	an	DET
m-817	124	6	increase	increase	NOUN
m-817	124	7	in	in	ADP
m-817	124	8	the	the	DET
m-817	124	9	chemical	chemical	NOUN
m-817	124	10	reaction	reaction	NOUN
m-817	124	11	parameter	parameter	NOUN
m-817	124	12	,	,	PUNCT
m-817	124	13	schmidt	schmidt	ADJ
m-817	124	14	number	number	NOUN
m-817	124	15	,	,	PUNCT
m-817	124	16	prandtl	prandtl	NOUN
m-817	124	17	number	number	NOUN
m-817	124	18	,	,	PUNCT
m-817	124	19	heat	heat	NOUN
m-817	124	20	source	source	NOUN
m-817	124	21	parameter	parameter	NOUN
m-817	124	22	,	,	PUNCT
m-817	124	23	oscillation	oscillation	NOUN
m-817	124	24	frequency	frequency	NOUN
m-817	124	25	,	,	PUNCT
m-817	124	26	and	and	CCONJ
m-817	124	27	time	time	NOUN
m-817	124	28	all	all	PRON
m-817	124	29	contribute	contribute	VERB
m-817	124	30	to	to	ADP
m-817	124	31	an	an	DET
m-817	124	32	increase	increase	NOUN
m-817	124	33	in	in	ADP
m-817	124	34	the	the	DET
m-817	124	35	nusselt	nusselt	NOUN
m-817	124	36	number	number	NOUN
m-817	124	37	.	.	PUNCT
m-817	125	1	it	it	PRON
m-817	125	2	decreases	decrease	VERB
m-817	125	3	as	as	ADP
m-817	125	4	the	the	DET
m-817	125	5	radiation	radiation	NOUN
m-817	125	6	-	-	PUNCT
m-817	125	7	absorption	absorption	NOUN
m-817	125	8	parameter	parameter	NOUN
m-817	125	9	increases	increase	NOUN
m-817	125	10	.	.	PUNCT
m-817	126	1	according	accord	VERB
m-817	126	2	to	to	ADP
m-817	126	3	table	table	NOUN
m-817	126	4	3	3	NUM
m-817	126	5	,	,	PUNCT
m-817	126	6	a	a	DET
m-817	126	7	stronger	strong	ADJ
m-817	126	8	sherwood	sherwood	NOUN
m-817	126	9	number	number	NOUN
m-817	126	10	is	be	AUX
m-817	126	11	preceded	precede	VERB
m-817	126	12	by	by	ADP
m-817	126	13	an	an	DET
m-817	126	14	increase	increase	NOUN
m-817	126	15	in	in	ADP
m-817	126	16	the	the	DET
m-817	126	17	schmidt	schmidt	ADJ
m-817	126	18	number	number	NOUN
m-817	126	19	,	,	PUNCT
m-817	126	20	chemical	chemical	NOUN
m-817	126	21	reaction	reaction	NOUN
m-817	126	22	parameter	parameter	NOUN
m-817	126	23	,	,	PUNCT
m-817	126	24	oscillation	oscillation	NOUN
m-817	126	25	frequency	frequency	NOUN
m-817	126	26	,	,	PUNCT
m-817	126	27	or	or	CCONJ
m-817	126	28	time	time	NOUN
m-817	126	29	.	.	PUNCT
m-817	127	1	5.references	5.references	X
m-817	127	2	.	.	PUNCT
m-817	128	1	[	[	X
m-817	128	2	1	1	X
m-817	128	3	]	]	PUNCT
m-817	128	4	w.	w.	PROPN
m-817	128	5	tan	tan	PROPN
m-817	128	6	,	,	PUNCT
m-817	128	7	t.	t.	PROPN
m-817	128	8	masuoka	masuoka	NOUN
m-817	128	9	,	,	PUNCT
m-817	128	10	stokes	stokes	PROPN
m-817	128	11	’	'	PUNCT
m-817	128	12	first	first	ADJ
m-817	128	13	problem	problem	NOUN
m-817	128	14	for	for	ADP
m-817	128	15	a	a	DET
m-817	128	16	second	second	ADJ
m-817	128	17	grade	grade	NOUN
m-817	128	18	fluid	fluid	NOUN
m-817	128	19	in	in	ADP
m-817	128	20	a	a	DET
m-817	128	21	porous	porous	ADJ
m-817	128	22	halfspace	halfspace	NOUN
m-817	128	23	with	with	ADP
m-817	128	24	heated	heated	ADJ
m-817	128	25	boundary	boundary	NOUN
m-817	128	26	,	,	PUNCT
m-817	128	27	int	int	NOUN
m-817	128	28	.	.	PUNCT
m-817	129	1	j.	j.	PROPN
m-817	129	2	nonlinear	nonlinear	PROPN
m-817	129	3	mech	mech	PROPN
m-817	129	4	.	.	PUNCT
m-817	130	1	40	40	NUM
m-817	130	2	(	(	PUNCT
m-817	130	3	2005	2005	NUM
m-817	130	4	)	)	PUNCT
m-817	130	5	515–522	515–522	NUM
m-817	130	6	.	.	PUNCT
m-817	131	1	[	[	X
m-817	131	2	2	2	NUM
m-817	131	3	]	]	X
m-817	131	4	m.m	m.m	PROPN
m-817	131	5	.	.	PROPN
m-817	131	6	rashidi	rashidi	PROPN
m-817	131	7	,	,	PUNCT
m-817	131	8	s.a	s.a	PROPN
m-817	131	9	.	.	PROPN
m-817	131	10	majid	majid	PROPN
m-817	131	11	,	,	PUNCT
m-817	131	12	a.	a.	PROPN
m-817	131	13	mostafa	mostafa	PROPN
m-817	131	14	,	,	PUNCT
m-817	131	15	application	application	NOUN
m-817	131	16	of	of	ADP
m-817	131	17	homotopy	homotopy	NOUN
m-817	131	18	analysis	analysis	NOUN
m-817	131	19	method	method	NOUN
m-817	131	20	to	to	ADP
m-817	131	21	the	the	DET
m-817	131	22	unsteady	unsteady	ADJ
m-817	131	23	squeezing	squeeze	VERB
m-817	131	24	flow	flow	NOUN
m-817	131	25	of	of	ADP
m-817	131	26	a	a	DET
m-817	131	27	second	second	ADJ
m-817	131	28	-	-	PUNCT
m-817	131	29	grade	grade	NOUN
m-817	131	30	fluid	fluid	NOUN
m-817	131	31	between	between	ADP
m-817	131	32	circular	circular	ADJ
m-817	131	33	plates	plate	NOUN
m-817	131	34	,	,	PUNCT
m-817	131	35	math	math	NOUN
m-817	131	36	.	.	PUNCT
m-817	132	1	probl	probl	PROPN
m-817	132	2	.	.	PUNCT
m-817	133	1	eng	eng	PROPN
m-817	133	2	.	.	PROPN
m-817	133	3	18	18	NUM
m-817	133	4	(	(	PUNCT
m-817	133	5	2010	2010	NUM
m-817	133	6	)	)	PUNCT
m-817	133	7	,	,	PUNCT
m-817	133	8	706840	706840	NUM
m-817	133	9	.	.	PUNCT
m-817	134	1	[	[	X
m-817	134	2	3	3	X
m-817	134	3	]	]	PUNCT
m-817	134	4	t.	t.	PROPN
m-817	134	5	hayat	hayat	PROPN
m-817	134	6	,	,	PUNCT
m-817	134	7	m.	m.	NOUN
m-817	134	8	qasim	qasim	PROPN
m-817	134	9	,	,	PUNCT
m-817	134	10	s.a	s.a	PROPN
m-817	134	11	.	.	PROPN
m-817	134	12	shehzad	shehzad	PROPN
m-817	134	13	,	,	PUNCT
m-817	134	14	a.	a.	PROPN
m-817	134	15	alsaedi	alsaedi	PROPN
m-817	134	16	,	,	PUNCT
m-817	134	17	unsteady	unsteady	ADJ
m-817	134	18	stagnation	stagnation	NOUN
m-817	134	19	point	point	NOUN
m-817	134	20	flow	flow	NOUN
m-817	134	21	of	of	ADP
m-817	134	22	second	second	ADJ
m-817	134	23	grade	grade	NOUN
m-817	134	24	fluid	fluid	NOUN
m-817	134	25	with	with	ADP
m-817	134	26	variable	variable	ADJ
m-817	134	27	free	free	ADJ
m-817	134	28	stream	stream	NOUN
m-817	134	29	,	,	PUNCT
m-817	134	30	alexandria	alexandria	PROPN
m-817	134	31	eng	eng	PROPN
m-817	134	32	.	.	PUNCT
m-817	135	1	j.	j.	PROPN
m-817	135	2	53	53	NUM
m-817	135	3	(	(	PUNCT
m-817	135	4	2014	2014	NUM
m-817	135	5	)	)	PUNCT
m-817	135	6	455–461	455–461	NUM
m-817	135	7	.	.	PUNCT
m-817	136	1	[	[	X
m-817	136	2	4	4	NUM
m-817	136	3	]	]	X
m-817	136	4	a.r	a.r	PROPN
m-817	136	5	.	.	PROPN
m-817	136	6	bestman	bestman	PROPN
m-817	136	7	,	,	PUNCT
m-817	136	8	natural	natural	ADJ
m-817	136	9	convection	convection	NOUN
m-817	136	10	boundary	boundary	ADJ
m-817	136	11	layer	layer	NOUN
m-817	136	12	with	with	ADP
m-817	136	13	suction	suction	NOUN
m-817	136	14	and	and	CCONJ
m-817	136	15	mass	mass	NOUN
m-817	136	16	transfer	transfer	NOUN
m-817	136	17	in	in	ADP
m-817	136	18	a	a	DET
m-817	136	19	porous	porous	ADJ
m-817	136	20	medium	medium	NOUN
m-817	136	21	,	,	PUNCT
m-817	136	22	int	int	NOUN
m-817	136	23	.	.	PUNCT
m-817	137	1	j.	j.	PROPN
m-817	137	2	energy	energy	PROPN
m-817	137	3	res	re	NOUN
m-817	137	4	.	.	PUNCT
m-817	138	1	14	14	NUM
m-817	138	2	(	(	PUNCT
m-817	138	3	1990	1990	NUM
m-817	138	4	)	)	PUNCT
m-817	139	1	389–396	389–396	NUM
m-817	139	2	.	.	PUNCT
m-817	140	1	[	[	X
m-817	140	2	5	5	NUM
m-817	140	3	]	]	X
m-817	140	4	m.d	m.d	PROPN
m-817	140	5	.	.	PROPN
m-817	140	6	abdus	abdus	PROPN
m-817	140	7	sattar	sattar	PROPN
m-817	140	8	,	,	PUNCT
m-817	140	9	m.d	m.d	PROPN
m-817	140	10	.	.	PROPN
m-817	140	11	hamid	hamid	PROPN
m-817	140	12	kalim	kalim	PROPN
m-817	140	13	,	,	PUNCT
m-817	140	14	unsteady	unsteady	ADJ
m-817	140	15	free	free	ADJ
m-817	140	16	-	-	PUNCT
m-817	140	17	convection	convection	NOUN
m-817	140	18	interaction	interaction	NOUN
m-817	140	19	with	with	ADP
m-817	140	20	thermal	thermal	ADJ
m-817	140	21	radiation	radiation	NOUN
m-817	140	22	in	in	ADP
m-817	140	23	a	a	DET
m-817	140	24	boundary	boundary	ADJ
m-817	140	25	layer	layer	NOUN
m-817	140	26	flow	flow	NOUN
m-817	140	27	past	past	ADP
m-817	140	28	a	a	DET
m-817	140	29	vertical	vertical	ADJ
m-817	140	30	porous	porous	ADJ
m-817	140	31	plate	plate	NOUN
m-817	140	32	,	,	PUNCT
m-817	140	33	j.	j.	PROPN
m-817	140	34	math	math	PROPN
m-817	140	35	.	.	PUNCT
m-817	141	1	phys	phy	NOUN
m-817	141	2	.	.	PUNCT
m-817	142	1	sci	sci	PROPN
m-817	142	2	.	.	PROPN
m-817	142	3	30	30	NUM
m-817	142	4	(	(	PUNCT
m-817	142	5	1996	1996	NUM
m-817	142	6	)	)	PUNCT
m-817	142	7	25–37	25–37	NUM
m-817	142	8	.	.	PUNCT
m-817	143	1	[	[	X
m-817	143	2	6	6	NUM
m-817	143	3	]	]	X
m-817	143	4	o.d	o.d	PROPN
m-817	143	5	.	.	PROPN
m-817	143	6	makinde	makinde	PROPN
m-817	143	7	,	,	PUNCT
m-817	143	8	free	free	ADJ
m-817	143	9	convection	convection	NOUN
m-817	143	10	flow	flow	NOUN
m-817	143	11	with	with	ADP
m-817	143	12	thermal	thermal	ADJ
m-817	143	13	radiation	radiation	NOUN
m-817	143	14	and	and	CCONJ
m-817	143	15	mass	mass	NOUN
m-817	143	16	transfer	transfer	NOUN
m-817	143	17	past	past	ADP
m-817	143	18	a	a	DET
m-817	143	19	moving	move	VERB
m-817	143	20	vertical	vertical	ADJ
m-817	143	21	porous	porous	ADJ
m-817	143	22	plate	plate	NOUN
m-817	143	23	,	,	PUNCT
m-817	143	24	int	int	NOUN
m-817	143	25	.	.	PUNCT
m-817	144	1	commn	commn	PROPN
m-817	144	2	.	.	PUNCT
m-817	145	1	heat	heat	PROPN
m-817	145	2	mass	mass	PROPN
m-817	145	3	transf	transf	NOUN
m-817	145	4	.	.	PUNCT
m-817	146	1	32	32	NUM
m-817	146	2	(	(	PUNCT
m-817	146	3	10	10	NUM
m-817	146	4	)	)	PUNCT
m-817	146	5	(	(	PUNCT
m-817	146	6	2005	2005	NUM
m-817	146	7	)	)	PUNCT
m-817	146	8	1411–1419	1411–1419	NUM
m-817	146	9	.	.	PUNCT
m-817	147	1	[	[	X
m-817	147	2	7	7	X
m-817	147	3	]	]	X
m-817	147	4	o.d	o.d	PROPN
m-817	147	5	.	.	PROPN
m-817	147	6	makinde	makinde	PROPN
m-817	147	7	,	,	PUNCT
m-817	147	8	p.o	p.o	PROPN
m-817	147	9	.	.	PROPN
m-817	147	10	olanrewaju	olanrewaju	PROPN
m-817	147	11	,	,	PUNCT
m-817	147	12	w.m	w.m	PROPN
m-817	147	13	.	.	PROPN
m-817	147	14	charles	charles	PROPN
m-817	147	15	,	,	PUNCT
m-817	147	16	unsteady	unsteady	ADJ
m-817	147	17	convection	convection	NOUN
m-817	147	18	with	with	ADP
m-817	147	19	chemical	chemical	ADJ
m-817	147	20	reaction	reaction	NOUN
m-817	147	21	and	and	CCONJ
m-817	147	22	radiative	radiative	ADJ
m-817	147	23	heat	heat	NOUN
m-817	147	24	transfer	transfer	NOUN
m-817	147	25	past	past	ADP
m-817	147	26	a	a	DET
m-817	147	27	flat	flat	ADJ
m-817	147	28	porous	porous	ADJ
m-817	147	29	plate	plate	NOUN
m-817	147	30	moving	move	VERB
m-817	147	31	through	through	ADP
m-817	147	32	a	a	DET
m-817	147	33	binary	binary	ADJ
m-817	147	34	mixture	mixture	NOUN
m-817	147	35	,	,	PUNCT
m-817	147	36	afr	afr	PROPN
m-817	147	37	.	.	PUNCT
m-817	148	1	mat	mat	PROPN
m-817	148	2	.	.	PROPN
m-817	148	3	22	22	NUM
m-817	148	4	(	(	PUNCT
m-817	148	5	2011	2011	NUM
m-817	148	6	)	)	PUNCT
m-817	148	7	65–78	65–78	NOUN
m-817	148	8	.	.	PUNCT
m-817	149	1	[	[	X
m-817	149	2	8	8	NUM
m-817	149	3	]	]	X
m-817	149	4	r.	r.	NOUN
m-817	149	5	muthucumaraswamy	muthucumaraswamy	NOUN
m-817	149	6	,	,	PUNCT
m-817	149	7	p.	p.	PROPN
m-817	149	8	ganesan	ganesan	NOUN
m-817	149	9	,	,	PUNCT
m-817	149	10	effect	effect	NOUN
m-817	149	11	of	of	ADP
m-817	149	12	the	the	DET
m-817	149	13	chemical	chemical	NOUN
m-817	149	14	reaction	reaction	NOUN
m-817	149	15	and	and	CCONJ
m-817	149	16	injection	injection	NOUN
m-817	149	17	on	on	ADP
m-817	149	18	flow	flow	NOUN
m-817	149	19	characteristics	characteristic	NOUN
m-817	149	20	in	in	ADP
m-817	149	21	an	an	DET
m-817	149	22	unsteady	unsteady	ADJ
m-817	149	23	upward	upward	ADJ
m-817	149	24	motion	motion	NOUN
m-817	149	25	of	of	ADP
m-817	149	26	an	an	DET
m-817	149	27	isothermal	isothermal	ADJ
m-817	149	28	plate	plate	NOUN
m-817	149	29	,	,	PUNCT
m-817	149	30	j.	j.	PROPN
m-817	149	31	appl	appl	PROPN
m-817	149	32	.	.	PROPN
m-817	149	33	mech	mech	PROPN
m-817	149	34	.	.	PUNCT
m-817	150	1	tech	tech	NOUN
m-817	150	2	.	.	PUNCT
m-817	151	1	phys	phy	NOUN
m-817	151	2	.	.	PUNCT
m-817	152	1	42	42	NUM
m-817	152	2	(	(	PUNCT
m-817	152	3	2001	2001	NUM
m-817	152	4	)	)	PUNCT
m-817	153	1	665–671	665–671	NUM
m-817	153	2	.	.	PUNCT
m-817	154	1	[	[	X
m-817	154	2	9	9	NUM
m-817	154	3	]	]	X
m-817	154	4	u.n	u.n	PROPN
m-817	154	5	.	.	PROPN
m-817	154	6	das	das	PROPN
m-817	154	7	,	,	PUNCT
m-817	154	8	r.	r.	PROPN
m-817	154	9	deka	deka	PROPN
m-817	154	10	,	,	PUNCT
m-817	154	11	v.m	v.m	PROPN
m-817	154	12	.	.	PROPN
m-817	154	13	soundalgekar	soundalgekar	NOUN
m-817	154	14	,	,	PUNCT
m-817	154	15	effects	effect	NOUN
m-817	154	16	of	of	ADP
m-817	154	17	mass	mass	ADJ
m-817	154	18	transfer	transfer	NOUN
m-817	154	19	on	on	ADP
m-817	154	20	flow	flow	NOUN
m-817	154	21	past	past	ADP
m-817	154	22	an	an	DET
m-817	154	23	impulsively	impulsively	ADV
m-817	154	24	started	start	VERB
m-817	154	25	infinite	infinite	ADJ
m-817	154	26	vertical	vertical	ADJ
m-817	154	27	plate	plate	NOUN
m-817	154	28	with	with	ADP
m-817	154	29	constant	constant	ADJ
m-817	154	30	heat	heat	NOUN
m-817	154	31	flux	flux	NOUN
m-817	154	32	and	and	CCONJ
m-817	154	33	chemical	chemical	NOUN
m-817	154	34	reaction	reaction	NOUN
m-817	154	35	,	,	PUNCT
m-817	154	36	forsch	forsch	PROPN
m-817	154	37	ing	ing	PROPN
m-817	154	38	-	-	PUNCT
m-817	154	39	wes	wes	PROPN
m-817	154	40	.	.	PUNCT
m-817	155	1	60	60	NUM
m-817	155	2	(	(	PUNCT
m-817	155	3	1994	1994	NUM
m-817	155	4	)	)	PUNCT
m-817	156	1	284–287	284–287	NUM
m-817	156	2	.	.	PUNCT
m-817	157	1	[	[	X
m-817	157	2	10	10	NUM
m-817	157	3	]	]	X
m-817	157	4	r.	r.	PROPN
m-817	157	5	muthukumaraswamy	muthukumaraswamy	PROPN
m-817	157	6	,	,	PUNCT
m-817	157	7	effects	effect	NOUN
m-817	157	8	of	of	ADP
m-817	157	9	a	a	DET
m-817	157	10	chemical	chemical	NOUN
m-817	157	11	reaction	reaction	NOUN
m-817	157	12	on	on	ADP
m-817	157	13	a	a	DET
m-817	157	14	moving	move	VERB
m-817	157	15	isothermal	isothermal	ADJ
m-817	157	16	surface	surface	NOUN
m-817	157	17	with	with	ADP
m-817	157	18	suction	suction	NOUN
m-817	157	19	.	.	PUNCT
m-817	157	20	,	,	PUNCT
m-817	157	21	acta	acta	PROPN
m-817	157	22	mechnica	mechnica	PROPN
m-817	157	23	,	,	PUNCT
m-817	157	24	v.155,p.65	v.155,p.65	PROPN
m-817	157	25	,	,	PUNCT
m-817	157	26	2002	2002	NUM
m-817	158	1	[	[	X
m-817	158	2	11	11	NUM
m-817	158	3	]	]	X
m-817	158	4	p.	p.	PROPN
m-817	158	5	kandaswamy	kandaswamy	PROPN
m-817	158	6	,	,	PUNCT
m-817	158	7	wahid	wahid	PROPN
m-817	158	8	abd	abd	PROPN
m-817	158	9	,	,	PUNCT
m-817	158	10	b.md.raj	b.md.raj	PROPN
m-817	158	11	,	,	PUNCT
m-817	158	12	b.	b.	PROPN
m-817	158	13	azme	azme	PROPN
m-817	158	14	khamis	khamis	PROPN
m-817	158	15	,	,	PUNCT
m-817	158	16	effects	effect	NOUN
m-817	158	17	of	of	ADP
m-817	158	18	chemical	chemical	NOUN
m-817	158	19	reaction	reaction	NOUN
m-817	158	20	,	,	PUNCT
m-817	158	21	heat	heat	NOUN
m-817	158	22	and	and	CCONJ
m-817	158	23	mass	mass	NOUN
m-817	158	24	transfer	transfer	NOUN
m-817	158	25	on	on	ADP
m-817	158	26	boundary	boundary	ADJ
m-817	158	27	layer	layer	NOUN
m-817	158	28	flow	flow	NOUN
m-817	158	29	over	over	ADP
m-817	158	30	a	a	DET
m-817	158	31	porous	porous	ADJ
m-817	158	32	wedge	wedge	NOUN
m-817	158	33	with	with	ADP
m-817	158	34	heat	heat	NOUN
m-817	158	35	radiation	radiation	NOUN
m-817	158	36	in	in	ADP
m-817	158	37	the	the	DET
m-817	158	38	presence	presence	NOUN
m-817	158	39	of	of	ADP
m-817	158	40	suction	suction	NOUN
m-817	158	41	or	or	CCONJ
m-817	158	42	injection	injection	NOUN
m-817	158	43	,	,	PUNCT
m-817	158	44	theoret	theoret	ADJ
m-817	158	45	.	.	PUNCT
m-817	159	1	appl	appl	PROPN
m-817	159	2	.	.	PROPN
m-817	159	3	mech	mech	PROPN
m-817	159	4	.	.	PROPN
m-817	159	5	,	,	PUNCT
m-817	159	6	v.33	v.33	X
m-817	159	7	.	.	X
m-817	159	8	no.2	no.2	PROPN
m-817	159	9	,	,	PUNCT
m-817	159	10	pp.123	pp.123	NOUN
m-817	159	11	-	-	PUNCT
m-817	159	12	148	148	NUM
m-817	159	13	,	,	PUNCT
m-817	159	14	2006	2006	NUM
m-817	159	15	[	[	X
m-817	159	16	12	12	NUM
m-817	159	17	]	]	PUNCT
m-817	159	18	hiroxhi	hiroxhi	NOUN
m-817	159	19	iwai	iwai	PROPN
m-817	159	20	,	,	PUNCT
m-817	159	21	kazuyoshi	kazuyoshi	PROPN
m-817	159	22	nakabe	nakabe	PROPN
m-817	159	23	,	,	PUNCT
m-817	159	24	kenjiro	kenjiro	PROPN
m-817	159	25	suzuki	suzuki	PROPN
m-817	159	26	:	:	PUNCT
m-817	159	27	flow	flow	NOUN
m-817	159	28	and	and	CCONJ
m-817	159	29	heat	heat	NOUN
m-817	159	30	transfer	transfer	NOUN
m-817	159	31	characteristics	characteristic	NOUN
m-817	159	32	of	of	ADP
m-817	159	33	backward	backward	ADV
m-817	159	34	-	-	PUNCT
m-817	159	35	facing	face	VERB
m-817	159	36	step	step	NOUN
m-817	159	37	laminar	laminar	ADJ
m-817	159	38	flow	flow	NOUN
m-817	159	39	in	in	ADP
m-817	159	40	a	a	DET
m-817	159	41	rectangular	rectangular	ADJ
m-817	159	42	duct	duct	NOUN
m-817	159	43	.	.	PUNCT
m-817	159	44	,	,	PUNCT
m-817	159	45	int.j.heat	int.j.heat	NOUN
m-817	159	46	and	and	CCONJ
m-817	159	47	mass	mass	ADJ
m-817	159	48	transfer	transfer	NOUN
m-817	159	49	,	,	PUNCT
m-817	159	50	v.43	v.43	NOUN
m-817	159	51	,	,	PUNCT
m-817	159	52	pp.457471(2000	pp.457471(2000	NUM
m-817	159	53	)	)	PUNCT
m-817	160	1	[	[	X
m-817	160	2	13	13	NUM
m-817	160	3	]	]	X
m-817	160	4	teoman	teoman	NOUN
m-817	160	5	ayhan	ayhan	NOUN
m-817	160	6	,	,	PUNCT
m-817	160	7	hayati	hayati	NOUN
m-817	160	8	olgum	olgum	NOUN
m-817	160	9	:	:	PUNCT
m-817	160	10	betul	betul	PROPN
m-817	160	11	ayhan	ayhan	PROPN
m-817	160	12	:	:	PUNCT
m-817	160	13	heat	heat	NOUN
m-817	160	14	transfer	transfer	NOUN
m-817	160	15	and	and	CCONJ
m-817	160	16	flow	flow	NOUN
m-817	160	17	structure	structure	NOUN
m-817	160	18	in	in	ADP
m-817	160	19	a	a	DET
m-817	160	20	rectangualr	rectangualr	ADJ
m-817	160	21	channel	channel	NOUN
m-817	160	22	withwing	withwing	NOUN
m-817	160	23	-1	-1	NOUN
m-817	160	24	,	,	PUNCT
m-817	160	25	type	type	NOUN
m-817	160	26	vortex	vortex	NOUN
m-817	160	27	generator	generator	NOUN
m-817	160	28	.	.	PUNCT
m-817	161	1	tr	tr	VERB
m-817	161	2	.	.	PROPN
m-817	161	3	j.	j.	PROPN
m-817	161	4	of	of	ADP
m-817	161	5	engineering	engineering	NOUN
m-817	161	6	and	and	CCONJ
m-817	161	7	environmental	environmental	ADJ
m-817	161	8	science	science	NOUN
m-817	161	9	,	,	PUNCT
m-817	161	10	pp	pp	CCONJ
m-817	161	11	,	,	PUNCT
m-817	161	12	85	85	NUM
m-817	161	13	-	-	SYM
m-817	161	14	195	195	NUM
m-817	161	15	,	,	PUNCT
m-817	161	16	22	22	NUM
m-817	161	17	(	(	PUNCT
m-817	161	18	1998	1998	NUM
m-817	161	19	)	)	PUNCT
m-817	161	20	.	.	PUNCT
m-817	162	1	[	[	X
m-817	162	2	14	14	NUM
m-817	162	3	]	]	X
m-817	162	4	cheng	cheng	PROPN
m-817	162	5	k.s	k.s	PROPN
m-817	162	6	.	.	PROPN
m-817	162	7	and	and	CCONJ
m-817	162	8	j.r	j.r	PROPN
m-817	162	9	.	.	PROPN
m-817	162	10	hi	hi	PROPN
m-817	162	11	.	.	PUNCT
m-817	162	12	:	:	PUNCT
m-817	163	1	steady	steady	ADJ
m-817	163	2	,	,	PUNCT
m-817	163	3	two	two	NUM
m-817	163	4	-	-	PUNCT
m-817	163	5	dimensional	dimensional	ADJ
m-817	163	6	,	,	PUNCT
m-817	163	7	natural	natural	ADJ
m-817	163	8	convection	convection	NOUN
m-817	163	9	in	in	ADP
m-817	163	10	rectangular	rectangular	ADJ
m-817	163	11	enclosures	enclosure	NOUN
m-817	163	12	with	with	ADP
m-817	163	13	differently	differently	ADV
m-817	163	14	heated	heated	ADJ
m-817	163	15	walls	wall	NOUN
m-817	163	16	transaction	transaction	NOUN
m-817	163	17	of	of	ADP
m-817	163	18	the	the	DET
m-817	163	19	asme	asme	PROPN
m-817	163	20	,	,	PUNCT
m-817	163	21	v.	v.	ADP
m-817	163	22	109	109	NUM
m-817	163	23	,	,	PUNCT
m-817	163	24	p	p	X
m-817	163	25	,	,	PUNCT
m-817	163	26	400	400	NUM
m-817	163	27	,	,	PUNCT
m-817	163	28	(	(	PUNCT
m-817	163	29	1987	1987	NUM
m-817	163	30	)	)	PUNCT
m-817	163	31	.	.	PUNCT
m-817	164	1	[	[	X
m-817	164	2	15	15	NUM
m-817	164	3	]	]	X
m-817	164	4	chan	chan	PROPN
m-817	164	5	,	,	PUNCT
m-817	164	6	b.k.c	b.k.c	NOUN
m-817	164	7	,	,	PUNCT
m-817	164	8	ivey	ivey	PROPN
m-817	164	9	,	,	PUNCT
m-817	164	10	u.m	u.m	PROPN
m-817	164	11	and	and	CCONJ
m-817	164	12	barry	barry	PROPN
m-817	164	13	,	,	PUNCT
m-817	164	14	j.m	j.m	PROPN
m-817	164	15	:	:	PUNCT
m-817	164	16	natural	natural	ADJ
m-817	164	17	convection	convection	NOUN
m-817	164	18	in	in	ADP
m-817	164	19	enclosed	enclose	VERB
m-817	164	20	porous	porous	ADJ
m-817	164	21	medium	medium	NOUN
m-817	164	22	with	with	ADP
m-817	164	23	rectangular	rectangular	ADJ
m-817	164	24	boundaries	boundary	NOUN
m-817	164	25	asme	asme	PROPN
m-817	164	26	journal	journal	PROPN
m-817	164	27	of	of	ADP
m-817	164	28	heat	heat	NOUN
m-817	164	29	transfer	transfer	NOUN
m-817	164	30	,	,	PUNCT
m-817	164	31	v.	v.	ADP
m-817	164	32	92	92	NUM
m-817	164	33	,	,	PUNCT
m-817	164	34	pp	pp	CCONJ
m-817	164	35	,	,	PUNCT
m-817	164	36	21	21	NUM
m-817	164	37	-	-	SYM
m-817	164	38	27	27	NUM
m-817	164	39	(	(	PUNCT
m-817	164	40	1970	1970	NUM
m-817	164	41	)	)	PUNCT
m-817	164	42	.	.	PUNCT
m-817	165	1	[	[	X
m-817	165	2	16	16	NUM
m-817	165	3	]	]	PUNCT
m-817	165	4	bejan	bejan	NOUN
m-817	165	5	,	,	PUNCT
m-817	165	6	a	a	PRON
m-817	165	7	and	and	CCONJ
m-817	165	8	khair	khair	NOUN
m-817	165	9	,	,	PUNCT
m-817	165	10	k.r	k.r	PROPN
m-817	165	11	:	:	PUNCT
m-817	165	12	heat	heat	NOUN
m-817	165	13	and	and	CCONJ
m-817	165	14	mass	mass	NOUN
m-817	165	15	transfer	transfer	NOUN
m-817	165	16	by	by	ADP
m-817	165	17	natural	natural	ADJ
m-817	165	18	convection	convection	NOUN
m-817	165	19	in	in	ADP
m-817	165	20	a	a	DET
m-817	165	21	porous	porous	ADJ
m-817	165	22	medium	medium	NOUN
m-817	165	23	,	,	PUNCT
m-817	165	24	int	int	NOUN
m-817	165	25	.	.	PUNCT
m-817	166	1	j.	j.	PROPN
m-817	166	2	heat	heat	PROPN
m-817	166	3	mass	mass	PROPN
m-817	166	4	transfrt	transfrt	NOUN
m-817	166	5	,	,	PUNCT
m-817	166	6	v.28,pp.908	v.28,pp.908	NOUN
m-817	166	7	-	-	PUNCT
m-817	166	8	918(1985	918(1985	NOUN
m-817	166	9	)	)	PUNCT
m-817	166	10	.	.	PUNCT
m-817	167	1	[	[	X
m-817	167	2	17	17	NUM
m-817	167	3	]	]	X
m-817	167	4	lai	lai	PROPN
m-817	167	5	,	,	PUNCT
m-817	167	6	f.c	f.c	PROPN
m-817	167	7	and	and	CCONJ
m-817	167	8	kulacki	kulacki	PROPN
m-817	167	9	,	,	PUNCT
m-817	167	10	f.a	f.a	PROPN
m-817	167	11	:	:	PUNCT
m-817	167	12	coupled	couple	VERB
m-817	167	13	heat	heat	NOUN
m-817	167	14	and	and	CCONJ
m-817	167	15	mass	mass	NOUN
m-817	167	16	transfer	transfer	NOUN
m-817	167	17	by	by	ADP
m-817	167	18	natural	natural	ADJ
m-817	167	19	convection	convection	NOUN
m-817	167	20	from	from	ADP
m-817	167	21	ijo	ijo	PROPN
m-817	167	22	journals	journal	NOUN
m-817	167	23	volume	volume	NOUN
m-817	167	24	07	07	NUM
m-817	167	25	|	|	NOUN
m-817	167	26	issue	issue	NOUN
m-817	167	27	03	03	NUM
m-817	168	1	|	|	ADV
m-817	168	2	march	march	PROPN
m-817	168	3	2024	2024	NUM
m-817	169	1	|	|	ADV
m-817	169	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	169	3	23	23	NUM
m-817	169	4	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	PROPN
m-817	169	5	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	PROPN
m-817	169	6	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref1	PROPN
m-817	169	7	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	8	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	9	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	10	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	11	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	12	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref2	PROPN
m-817	169	13	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	PRON
m-817	169	14	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	PRON
m-817	169	15	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	http://refhub.elsevier.com/s0019-4522(22)00480-0/sref3	PROPN
m-817	169	16	ijo	ijo	PROPN
m-817	169	17	international	international	PROPN
m-817	169	18	journal	journal	PROPN
m-817	169	19	of	of	ADP
m-817	169	20	mathematics	mathematics	PROPN
m-817	169	21	(	(	PUNCT
m-817	169	22	issn	issn	PROPN
m-817	169	23	:	:	PUNCT
m-817	169	24	2992	2992	NUM
m-817	169	25	-	-	SYM
m-817	169	26	4421	4421	NUM
m-817	169	27	)	)	PUNCT
m-817	169	28	dhananjaiah	dhananjaiah	PROPN
m-817	169	29	d.	d.	PROPN
m-817	169	30	s1	s1	PROPN
m-817	169	31	*	*	PUNCT
m-817	169	32	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-817	169	33	volume	volume	NOUN
m-817	169	34	07	07	NUM
m-817	169	35	issue	issue	NOUN
m-817	169	36	03	03	NUM
m-817	169	37	||	||	NUM
m-817	169	38	march	march	NOUN
m-817	169	39	,	,	PUNCT
m-817	169	40	2024	2024	NUM
m-817	169	41	||	||	NOUN
m-817	170	1	a	a	DET
m-817	170	2	mathematical	mathematical	ADJ
m-817	170	3	analysis	analysis	NOUN
m-817	170	4	of	of	ADP
m-817	170	5	oscillatory	oscillatory	ADJ
m-817	170	6	free	free	ADJ
m-817	170	7	convection	convection	NOUN
m-817	170	8	in	in	ADP
m-817	170	9	a	a	DET
m-817	170	10	vertical	vertical	ADJ
m-817	170	11	wavy	wavy	ADJ
m-817	170	12	channel	channel	NOUN
m-817	170	13	with	with	ADP
m-817	170	14	chemical	chemical	ADJ
m-817	170	15	reaction	reaction	NOUN
m-817	170	16	vertical	vertical	ADJ
m-817	170	17	surfaces	surface	NOUN
m-817	170	18	in	in	ADP
m-817	170	19	porous	porous	ADJ
m-817	170	20	medium	medium	NOUN
m-817	170	21	.	.	PUNCT
m-817	171	1	,int.j.heat	,int.j.heat	PUNCT
m-817	171	2	mass	mass	NOUN
m-817	171	3	transfer	transfer	NOUN
m-817	171	4	,	,	PUNCT
m-817	171	5	v.34	v.34	PROPN
m-817	171	6	,	,	PUNCT
m-817	171	7	pp.1189	pp.1189	PROPN
m-817	171	8	-	-	PUNCT
m-817	171	9	1194(1991	1194(1991	NUM
m-817	171	10	)	)	PUNCT
m-817	171	11	.	.	PUNCT
m-817	172	1	[	[	X
m-817	172	2	18	18	NUM
m-817	172	3	]	]	PUNCT
m-817	172	4	angirasaa	angirasaa	ADV
m-817	172	5	,	,	PUNCT
m-817	172	6	d	d	PROPN
m-817	172	7	,	,	PUNCT
m-817	172	8	peterson	peterson	NOUN
m-817	172	9	,	,	PUNCT
m-817	172	10	g.p	g.p	PROPN
m-817	172	11	and	and	CCONJ
m-817	172	12	pop	pop	NOUN
m-817	172	13	,	,	PUNCT
m-817	172	14	i	i	PRON
m-817	172	15	:	:	PUNCT
m-817	172	16	combined	combined	ADJ
m-817	172	17	heat	heat	NOUN
m-817	172	18	and	and	CCONJ
m-817	172	19	mass	mass	NOUN
m-817	172	20	transfer	transfer	NOUN
m-817	172	21	by	by	ADP
m-817	172	22	natural	natural	ADJ
m-817	172	23	convection	convection	NOUN
m-817	172	24	with	with	ADP
m-817	172	25	opposing	oppose	VERB
m-817	172	26	buoyancy	buoyancy	NOUN
m-817	172	27	effects	effect	NOUN
m-817	172	28	in	in	ADP
m-817	172	29	a	a	DET
m-817	172	30	fluid	fluid	ADJ
m-817	172	31	saturated	saturate	VERB
m-817	172	32	porous	porous	ADJ
m-817	172	33	medium	medium	NOUN
m-817	172	34	,	,	PUNCT
m-817	172	35	int	int	NOUN
m-817	172	36	.	.	PUNCT
m-817	173	1	j.	j.	PROPN
m-817	173	2	heat	heat	PROPN
m-817	173	3	mass	mass	NOUN
m-817	173	4	transfer	transfer	NOUN
m-817	173	5	,	,	PUNCT
m-817	173	6	v.40,pp.2755	v.40,pp.2755	NOUN
m-817	173	7	-	-	PUNCT
m-817	173	8	2773(1997	2773(1997	NUM
m-817	173	9	)	)	PUNCT
m-817	173	10	.	.	PUNCT
m-817	174	1	[	[	X
m-817	174	2	19	19	NUM
m-817	174	3	]	]	X
m-817	174	4	nelson	nelson	PROPN
m-817	174	5	,	,	PUNCT
m-817	174	6	d.j	d.j	PROPN
m-817	174	7	and	and	CCONJ
m-817	174	8	wood	wood	NOUN
m-817	174	9	,	,	PUNCT
m-817	174	10	b.d	b.d	PROPN
m-817	174	11	:	:	PUNCT
m-817	174	12	combined	combined	ADJ
m-817	174	13	heat	heat	NOUN
m-817	174	14	and	and	CCONJ
m-817	174	15	mass	mass	NOUN
m-817	174	16	transfer	transfer	NOUN
m-817	174	17	by	by	ADP
m-817	174	18	natural	natural	ADJ
m-817	174	19	convection	convection	NOUN
m-817	174	20	between	between	ADP
m-817	174	21	vertical	vertical	ADJ
m-817	174	22	plates	plate	NOUN
m-817	174	23	,	,	PUNCT
m-817	174	24	int.j	int.j	PROPN
m-817	174	25	.	.	PROPN
m-817	174	26	,heat	,heat	PUNCT
m-817	174	27	mass	mass	NOUN
m-817	174	28	transfer	transfer	NOUN
m-817	174	29	,	,	PUNCT
m-817	174	30	v.82,pp.1789	v.82,pp.1789	NOUN
m-817	174	31	-	-	PUNCT
m-817	174	32	1792(1989	1792(1989	NUM
m-817	174	33	)	)	PUNCT
m-817	174	34	.	.	PUNCT
m-817	175	1	ijo	ijo	PROPN
m-817	175	2	journals	journal	NOUN
m-817	175	3	volume	volume	NOUN
m-817	175	4	07	07	NUM
m-817	175	5	|	|	NOUN
m-817	175	6	issue	issue	NOUN
m-817	175	7	03	03	NUM
m-817	176	1	|	|	ADV
m-817	176	2	march	march	PROPN
m-817	176	3	2024	2024	NUM
m-817	177	1	|	|	ADV
m-817	177	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-817	177	3	24	24	NUM
m-817	177	4	a	a	DET
m-817	177	5	mathematical	mathematical	ADJ
m-817	177	6	analysis	analysis	NOUN
m-817	177	7	of	of	ADP
m-817	177	8	oscillatory	oscillatory	ADJ
m-817	177	9	free	free	ADJ
m-817	177	10	convection	convection	NOUN
m-817	177	11	in	in	ADP
m-817	177	12	a	a	DET
m-817	177	13	vertical	vertical	ADJ
m-817	177	14	wavy	wavy	ADJ
m-817	177	15	channel	channel	NOUN
m-817	177	16	with	with	ADP
m-817	177	17	chemical	chemical	ADJ
m-817	177	18	reaction	reaction	NOUN
m-817	177	19	dhananjaiah	dhananjaiah	PROPN
m-817	177	20	d.	d.	PROPN
m-817	177	21	s1	s1	PROPN
m-817	177	22	,	,	PUNCT
m-817	177	23	prof	prof	PROPN
m-817	177	24	.	.	PUNCT
m-817	178	1	k.	k.	PROPN
m-817	178	2	shivashankara2	shivashankara2	PROPN
m-817	178	3	,	,	PUNCT
m-817	178	4	venuprasad	venuprasad	PROPN
m-817	178	5	k.	k.	PROPN
m-817	178	6	k3	k3	PROPN
m-817	178	7	,	,	PUNCT
m-817	178	8	prakasha.p4	prakasha.p4	PROPN