id	sid	tid	token	lemma	pos
m-815	1	1	ijo	ijo	PROPN
m-815	1	2	international	international	PROPN
m-815	1	3	journal	journal	PROPN
m-815	1	4	of	of	ADP
m-815	1	5	mathematics	mathematics	PROPN
m-815	1	6	(	(	PUNCT
m-815	1	7	issn	issn	PROPN
m-815	1	8	:	:	PUNCT
m-815	1	9	2992	2992	NUM
m-815	1	10	-	-	SYM
m-815	1	11	4421	4421	NUM
m-815	1	12	)	)	PUNCT
m-815	2	1	venuprasad	venuprasad	PROPN
m-815	3	1	k.	k.	X
m-815	4	1	k.1	k.1	PROPN
m-815	5	1	*	*	PUNCT
m-815	5	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	5	3	volume	volume	NOUN
m-815	5	4	07	07	NUM
m-815	5	5	issue	issue	NOUN
m-815	5	6	03	03	NUM
m-815	5	7	||	||	NUM
m-815	5	8	march	march	NOUN
m-815	5	9	,	,	PUNCT
m-815	5	10	2024	2024	NUM
m-815	5	11	||	||	NOUN
m-815	5	12	mathematical	mathematical	ADJ
m-815	5	13	study	study	NOUN
m-815	5	14	of	of	ADP
m-815	5	15	mhd	mhd	PROPN
m-815	5	16	convective	convective	ADJ
m-815	5	17	flow	flow	NOUN
m-815	5	18	with	with	ADP
m-815	5	19	chemical	chemical	ADJ
m-815	5	20	reaction	reaction	NOUN
m-815	5	21	through	through	ADP
m-815	5	22	a	a	DET
m-815	5	23	porous	porous	ADJ
m-815	5	24	medium	medium	NOUN
m-815	5	25	in	in	ADP
m-815	5	26	a	a	DET
m-815	5	27	vertical	vertical	ADJ
m-815	5	28	wavy	wavy	ADJ
m-815	5	29	channel	channel	NOUN
m-815	5	30	mathematical	mathematical	ADJ
m-815	5	31	study	study	NOUN
m-815	5	32	of	of	ADP
m-815	5	33	mhd	mhd	PROPN
m-815	5	34	convective	convective	ADJ
m-815	5	35	flow	flow	NOUN
m-815	5	36	with	with	ADP
m-815	5	37	chemical	chemical	ADJ
m-815	5	38	reaction	reaction	NOUN
m-815	5	39	through	through	ADP
m-815	5	40	a	a	DET
m-815	5	41	porous	porous	ADJ
m-815	5	42	medium	medium	NOUN
m-815	5	43	in	in	ADP
m-815	5	44	a	a	DET
m-815	5	45	vertical	vertical	ADJ
m-815	5	46	wavy	wavy	ADJ
m-815	5	47	channel	channel	NOUN
m-815	5	48	venuprasad	venuprasad	PROPN
m-815	5	49	k.	k.	PROPN
m-815	6	1	k.1	k.1	PROPN
m-815	6	2	,	,	PUNCT
m-815	6	3	prof	prof	PROPN
m-815	6	4	.	.	PUNCT
m-815	7	1	k.	k.	PROPN
m-815	7	2	shivashankara2	shivashankara2	PROPN
m-815	7	3	,	,	PUNCT
m-815	7	4	dhananjaiah	dhananjaiah	PROPN
m-815	7	5	d.	d.	PROPN
m-815	7	6	s3	s3	PROPN
m-815	7	7	,	,	PUNCT
m-815	7	8	prakasha.p4	prakasha.p4	PROPN
m-815	7	9	1department	1department	NUM
m-815	7	10	of	of	ADP
m-815	7	11	mathematics	mathematic	NOUN
m-815	7	12	,	,	PUNCT
m-815	7	13	government	government	NOUN
m-815	7	14	first	first	ADJ
m-815	7	15	grade	grade	NOUN
m-815	7	16	college	college	NOUN
m-815	7	17	k.r.pete	k.r.pete	NOUN
m-815	7	18	,	,	PUNCT
m-815	7	19	mandya	mandya	PROPN
m-815	7	20	,	,	PUNCT
m-815	7	21	india	india	PROPN
m-815	7	22	e	e	PROPN
m-815	7	23	-	-	NOUN
m-815	7	24	mail	mail	NOUN
m-815	7	25	i	i	NOUN
m-815	7	26	d	d	NOUN
m-815	7	27	:	:	PUNCT
m-815	8	1	kkvpmaths@gmail.com	kkvpmaths@gmail.com	X
m-815	8	2	2department	2department	NUM
m-815	8	3	of	of	ADP
m-815	8	4	mathematics	mathematic	NOUN
m-815	8	5	,	,	PUNCT
m-815	8	6	yuvaraja	yuvaraja	PROPN
m-815	8	7	’s	’s	PART
m-815	8	8	college	college	NOUN
m-815	8	9	,	,	PUNCT
m-815	8	10	university	university	NOUN
m-815	8	11	of	of	ADP
m-815	8	12	mysore	mysore	NOUN
m-815	8	13	,	,	PUNCT
m-815	8	14	mysore	mysore	PROPN
m-815	8	15	,	,	PUNCT
m-815	8	16	india	india	PROPN
m-815	8	17	e	e	PROPN
m-815	8	18	-	-	NOUN
m-815	8	19	mail	mail	NOUN
m-815	8	20	i	i	NOUN
m-815	8	21	d	d	PROPN
m-815	8	22	:	:	PUNCT
m-815	9	1	drksshankara@gmail.com	drksshankara@gmail.com	X
m-815	9	2	3department	3department	NUM
m-815	9	3	of	of	ADP
m-815	9	4	mathematics	mathematic	NOUN
m-815	9	5	,	,	PUNCT
m-815	9	6	government	government	NOUN
m-815	9	7	first	first	ADJ
m-815	9	8	grade	grade	NOUN
m-815	9	9	college	college	NOUN
m-815	9	10	k.r.nagar	k.r.nagar	NOUN
m-815	9	11	,	,	PUNCT
m-815	9	12	mysuru	mysuru	PROPN
m-815	9	13	,	,	PUNCT
m-815	9	14	india	india	PROPN
m-815	9	15	e	e	PROPN
m-815	9	16	-	-	NOUN
m-815	9	17	mail	mail	NOUN
m-815	10	1	i	i	NOUN
m-815	10	2	d	d	NOUN
m-815	10	3	:	:	PUNCT
m-815	10	4	dhanu2614@gmail.com	dhanu2614@gmail.com	X
m-815	11	1	4department	4department	NUM
m-815	11	2	of	of	ADP
m-815	11	3	mathematics	mathematic	NOUN
m-815	11	4	,	,	PUNCT
m-815	11	5	government	government	NOUN
m-815	11	6	first	first	ADJ
m-815	11	7	grade	grade	NOUN
m-815	11	8	college	college	NOUN
m-815	11	9	,	,	PUNCT
m-815	11	10	madagi	madagi	NOUN
m-815	11	11	,	,	PUNCT
m-815	11	12	ramnagar	ramnagar	NOUN
m-815	11	13	,	,	PUNCT
m-815	11	14	india	india	PROPN
m-815	11	15	e	e	PROPN
m-815	11	16	-	-	NOUN
m-815	11	17	mail	mail	NOUN
m-815	11	18	i	i	NOUN
m-815	11	19	d	d	NOUN
m-815	11	20	:	:	PUNCT
m-815	12	1	profprakasha@gmail.com	profprakasha@gmail.com	X
m-815	12	2	abstract	abstract	ADJ
m-815	12	3	:	:	PUNCT
m-815	12	4	in	in	ADP
m-815	12	5	this	this	DET
m-815	12	6	work	work	NOUN
m-815	12	7	,	,	PUNCT
m-815	12	8	we	we	PRON
m-815	12	9	examine	examine	VERB
m-815	12	10	how	how	SCONJ
m-815	12	11	transitory	transitory	ADJ
m-815	12	12	free	free	ADJ
m-815	12	13	connective	connective	ADJ
m-815	12	14	heat	heat	NOUN
m-815	12	15	and	and	CCONJ
m-815	12	16	mass	mass	NOUN
m-815	12	17	transfer	transfer	NOUN
m-815	12	18	flow	flow	NOUN
m-815	12	19	over	over	ADP
m-815	12	20	a	a	DET
m-815	12	21	porous	porous	ADJ
m-815	12	22	media	medium	NOUN
m-815	12	23	in	in	ADP
m-815	12	24	a	a	DET
m-815	12	25	vertical	vertical	ADJ
m-815	12	26	wavy	wavy	ADJ
m-815	12	27	channel	channel	NOUN
m-815	12	28	is	be	AUX
m-815	12	29	impacted	impact	VERB
m-815	12	30	by	by	ADP
m-815	12	31	chemical	chemical	ADJ
m-815	12	32	reactions	reaction	NOUN
m-815	12	33	and	and	CCONJ
m-815	12	34	radiation	radiation	NOUN
m-815	12	35	absorption	absorption	NOUN
m-815	12	36	.	.	PUNCT
m-815	13	1	the	the	DET
m-815	13	2	oscillatory	oscillatory	ADJ
m-815	13	3	flux	flux	NOUN
m-815	13	4	in	in	ADP
m-815	13	5	the	the	DET
m-815	13	6	flow	flow	NOUN
m-815	13	7	zone	zone	NOUN
m-815	13	8	is	be	AUX
m-815	13	9	the	the	DET
m-815	13	10	cause	cause	NOUN
m-815	13	11	of	of	ADP
m-815	13	12	the	the	DET
m-815	13	13	unsteadiness	unsteadiness	NOUN
m-815	13	14	in	in	ADP
m-815	13	15	the	the	DET
m-815	13	16	flow	flow	NOUN
m-815	13	17	.	.	PUNCT
m-815	14	1	the	the	DET
m-815	14	2	laplace	laplace	NOUN
m-815	14	3	transformation	transformation	NOUN
m-815	14	4	approach	approach	NOUN
m-815	14	5	is	be	AUX
m-815	14	6	used	use	VERB
m-815	14	7	to	to	PART
m-815	14	8	get	get	VERB
m-815	14	9	the	the	DET
m-815	14	10	analytical	analytical	ADJ
m-815	14	11	solutions	solution	NOUN
m-815	14	12	for	for	ADP
m-815	14	13	the	the	DET
m-815	14	14	governing	govern	VERB
m-815	14	15	equations	equation	NOUN
m-815	14	16	.	.	PUNCT
m-815	15	1	analysis	analysis	NOUN
m-815	15	2	is	be	AUX
m-815	15	3	done	do	VERB
m-815	15	4	on	on	ADP
m-815	15	5	the	the	DET
m-815	15	6	profiles	profile	NOUN
m-815	15	7	of	of	ADP
m-815	15	8	temperature	temperature	NOUN
m-815	15	9	,	,	PUNCT
m-815	15	10	concentration	concentration	NOUN
m-815	15	11	,	,	PUNCT
m-815	15	12	and	and	CCONJ
m-815	15	13	velocity	velocity	NOUN
m-815	15	14	.	.	PUNCT
m-815	16	1	the	the	DET
m-815	16	2	governing	govern	VERB
m-815	16	3	parameters	parameter	NOUN
m-815	16	4	are	be	AUX
m-815	16	5	varied	varied	ADJ
m-815	16	6	,	,	PUNCT
m-815	16	7	and	and	CCONJ
m-815	16	8	the	the	DET
m-815	16	9	resulting	result	VERB
m-815	16	10	expressions	expression	NOUN
m-815	16	11	for	for	ADP
m-815	16	12	the	the	DET
m-815	16	13	velocity	velocity	NOUN
m-815	16	14	,	,	PUNCT
m-815	16	15	concentration	concentration	NOUN
m-815	16	16	,	,	PUNCT
m-815	16	17	shear	shear	NOUN
m-815	16	18	stress	stress	NOUN
m-815	16	19	,	,	PUNCT
m-815	16	20	and	and	CCONJ
m-815	16	21	rate	rate	NOUN
m-815	16	22	of	of	ADP
m-815	16	23	heat	heat	NOUN
m-815	16	24	and	and	CCONJ
m-815	16	25	mass	mass	NOUN
m-815	16	26	transfer	transfer	NOUN
m-815	16	27	are	be	AUX
m-815	16	28	examined	examine	VERB
m-815	16	29	.	.	PUNCT
m-815	17	1	key	key	ADJ
m-815	17	2	words	word	NOUN
m-815	17	3	:	:	PUNCT
m-815	17	4	mhd	mhd	NOUN
m-815	17	5	,	,	PUNCT
m-815	17	6	wavy	wavy	ADJ
m-815	17	7	channel	channel	NOUN
m-815	17	8	,	,	PUNCT
m-815	17	9	chemical	chemical	NOUN
m-815	17	10	reaction	reaction	NOUN
m-815	17	11	.	.	PUNCT
m-815	18	1	1	1	X
m-815	18	2	.	.	X
m-815	18	3	introduction	introduction	NOUN
m-815	18	4	the	the	DET
m-815	18	5	use	use	NOUN
m-815	18	6	of	of	ADP
m-815	18	7	non	non	ADJ
m-815	18	8	-	-	ADJ
m-815	18	9	newtonian	newtonian	ADJ
m-815	18	10	liquids	liquid	NOUN
m-815	18	11	in	in	ADP
m-815	18	12	engineering	engineering	NOUN
m-815	18	13	and	and	CCONJ
m-815	18	14	industry	industry	NOUN
m-815	18	15	is	be	AUX
m-815	18	16	required	require	VERB
m-815	18	17	due	due	ADP
m-815	18	18	to	to	ADP
m-815	18	19	their	their	PRON
m-815	18	20	increasing	increase	VERB
m-815	18	21	significance	significance	NOUN
m-815	18	22	.	.	PUNCT
m-815	19	1	it	it	PRON
m-815	19	2	is	be	AUX
m-815	19	3	remarkable	remarkable	ADJ
m-815	19	4	for	for	ADP
m-815	19	5	its	its	PRON
m-815	19	6	many	many	ADJ
m-815	19	7	applications	application	NOUN
m-815	19	8	in	in	ADP
m-815	19	9	numerous	numerous	ADJ
m-815	19	10	areas	area	NOUN
m-815	19	11	,	,	PUNCT
m-815	19	12	which	which	PRON
m-815	19	13	include	include	VERB
m-815	19	14	food	food	NOUN
m-815	19	15	processing	processing	NOUN
m-815	19	16	,	,	PUNCT
m-815	19	17	lubricant	lubricant	NOUN
m-815	19	18	performance	performance	NOUN
m-815	19	19	,	,	PUNCT
m-815	19	20	plastic	plastic	NOUN
m-815	19	21	manufacture	manufacture	NOUN
m-815	19	22	,	,	PUNCT
m-815	19	23	and/or	and/or	CCONJ
m-815	19	24	biological	biological	ADJ
m-815	19	25	liquid	liquid	ADJ
m-815	19	26	transportation	transportation	NOUN
m-815	19	27	.	.	PUNCT
m-815	20	1	numerous	numerous	ADJ
m-815	20	2	fluids	fluid	NOUN
m-815	20	3	,	,	PUNCT
m-815	20	4	including	include	VERB
m-815	20	5	diluted	dilute	VERB
m-815	20	6	polymer	polymer	NOUN
m-815	20	7	solutions	solution	NOUN
m-815	20	8	,	,	PUNCT
m-815	20	9	slurry	slurry	NOUN
m-815	20	10	flows	flow	NOUN
m-815	20	11	,	,	PUNCT
m-815	20	12	industrial	industrial	ADJ
m-815	20	13	oil	oil	NOUN
m-815	20	14	,	,	PUNCT
m-815	20	15	and	and	CCONJ
m-815	20	16	numerous	numerous	ADJ
m-815	20	17	flow	flow	NOUN
m-815	20	18	issues	issue	NOUN
m-815	20	19	caused	cause	VERB
m-815	20	20	by	by	ADP
m-815	20	21	different	different	ADJ
m-815	20	22	mechanical	mechanical	ADJ
m-815	20	23	and/or	and/or	CCONJ
m-815	20	24	thermal	thermal	ADJ
m-815	20	25	boundary	boundary	ADJ
m-815	20	26	conditions	condition	NOUN
m-815	20	27	have	have	AUX
m-815	20	28	been	be	AUX
m-815	20	29	discussed	discuss	VERB
m-815	20	30	,	,	PUNCT
m-815	20	31	as	as	ADV
m-815	20	32	well	well	ADV
m-815	20	33	as	as	ADP
m-815	20	34	the	the	DET
m-815	20	35	second	second	ADJ
m-815	20	36	graded	grade	VERB
m-815	20	37	fluid	fluid	NOUN
m-815	20	38	preserves	preserve	VERB
m-815	20	39	these	these	DET
m-815	20	40	fluids	fluid	NOUN
m-815	20	41	.	.	PUNCT
m-815	21	1	for	for	ADP
m-815	21	2	the	the	DET
m-815	21	3	second	second	ADV
m-815	21	4	-	-	PUNCT
m-815	21	5	graded	grade	VERB
m-815	21	6	fluids	fluid	NOUN
m-815	21	7	,	,	PUNCT
m-815	21	8	tan	tan	NOUN
m-815	21	9	and	and	CCONJ
m-815	21	10	masuoka	masuoka	NOUN
m-815	21	11	[	[	X
m-815	21	12	1	1	X
m-815	21	13	]	]	PUNCT
m-815	21	14	discovered	discover	VERB
m-815	21	15	the	the	DET
m-815	21	16	stokes	stoke	NOUN
m-815	21	17	first	first	ADJ
m-815	21	18	difficulties	difficulty	NOUN
m-815	21	19	,	,	PUNCT
m-815	21	20	whereas	whereas	SCONJ
m-815	21	21	rashidi	rashidi	PROPN
m-815	21	22	et	et	PROPN
m-815	21	23	al	al	PROPN
m-815	21	24	.	.	PUNCT
m-815	22	1	[	[	X
m-815	22	2	2	2	X
m-815	22	3	]	]	PUNCT
m-815	22	4	addressed	address	VERB
m-815	22	5	the	the	DET
m-815	22	6	second	second	ADJ
m-815	22	7	-	-	PUNCT
m-815	22	8	order	order	NOUN
m-815	22	9	fluids	fluid	NOUN
m-815	22	10	'	'	PART
m-815	22	11	unstable	unstable	ADJ
m-815	22	12	compressible	compressible	ADJ
m-815	22	13	flows	flow	NOUN
m-815	22	14	.	.	PUNCT
m-815	23	1	hayat	hayat	PROPN
m-815	23	2	and	and	CCONJ
m-815	23	3	associates	associate	NOUN
m-815	23	4	.	.	PUNCT
m-815	24	1	[	[	X
m-815	24	2	3	3	NUM
m-815	24	3	]	]	PUNCT
m-815	24	4	investigated	investigate	VERB
m-815	24	5	by	by	ADP
m-815	24	6	the	the	DET
m-815	24	7	fluids	fluid	NOUN
m-815	24	8	of	of	ADP
m-815	24	9	second	second	ADJ
m-815	24	10	grade	grade	NOUN
m-815	24	11	with	with	ADP
m-815	24	12	variable	variable	ADJ
m-815	24	13	free	free	ADJ
m-815	24	14	stream	stream	NOUN
m-815	24	15	and	and	CCONJ
m-815	24	16	unstable	unstable	ADJ
m-815	24	17	stagnation	stagnation	NOUN
m-815	24	18	point	point	NOUN
m-815	24	19	flow	flow	NOUN
m-815	24	20	.	.	PUNCT
m-815	25	1	a	a	DET
m-815	25	2	branch	branch	NOUN
m-815	25	3	of	of	ADP
m-815	25	4	fluid	fluid	ADJ
m-815	25	5	dynamics	dynamic	NOUN
m-815	25	6	called	call	VERB
m-815	25	7	magnetohydrodynamics	magnetohydrodynamic	NOUN
m-815	25	8	(	(	PUNCT
m-815	25	9	mhd	mhd	NOUN
m-815	25	10	)	)	PUNCT
m-815	25	11	examined	examine	VERB
m-815	25	12	how	how	SCONJ
m-815	25	13	electrically	electrically	ADV
m-815	25	14	conducting	conduct	VERB
m-815	25	15	fluids	fluid	NOUN
m-815	25	16	interact	interact	VERB
m-815	25	17	with	with	ADP
m-815	25	18	one	one	NUM
m-815	25	19	another	another	DET
m-815	25	20	in	in	ADP
m-815	25	21	a	a	DET
m-815	25	22	magnetic	magnetic	ADJ
m-815	25	23	field	field	NOUN
m-815	25	24	.	.	PUNCT
m-815	26	1	many	many	ADJ
m-815	26	2	research	research	NOUN
m-815	26	3	projects	project	NOUN
m-815	26	4	in	in	ADP
m-815	26	5	the	the	DET
m-815	26	6	field	field	NOUN
m-815	26	7	of	of	ADP
m-815	26	8	mhd	mhd	NOUN
m-815	26	9	have	have	AUX
m-815	26	10	been	be	AUX
m-815	26	11	carried	carry	VERB
m-815	26	12	out	out	ADP
m-815	26	13	during	during	ADP
m-815	26	14	the	the	DET
m-815	26	15	course	course	NOUN
m-815	26	16	of	of	ADP
m-815	26	17	the	the	DET
m-815	26	18	few	few	ADJ
m-815	26	19	decades	decade	NOUN
m-815	26	20	that	that	PRON
m-815	26	21	have	have	AUX
m-815	26	22	preceded	precede	VERB
m-815	26	23	them	they	PRON
m-815	26	24	,	,	PUNCT
m-815	26	25	following	follow	VERB
m-815	26	26	hartmann	hartmann	PROPN
m-815	26	27	's	's	PART
m-815	26	28	well	well	ADV
m-815	26	29	-	-	PUNCT
m-815	26	30	established	establish	VERB
m-815	26	31	work	work	NOUN
m-815	26	32	[	[	X
m-815	26	33	4	4	NUM
m-815	26	34	]	]	PUNCT
m-815	26	35	.	.	PUNCT
m-815	27	1	flow	flow	NOUN
m-815	27	2	in	in	ADP
m-815	27	3	metalized	metalized	ADJ
m-815	27	4	fluid	fluid	ADJ
m-815	27	5	channels	channel	NOUN
m-815	27	6	subjected	subject	VERB
m-815	27	7	ijo	ijo	PROPN
m-815	27	8	journals	journal	NOUN
m-815	27	9	volume	volume	NOUN
m-815	27	10	07	07	NUM
m-815	28	1	|	|	NOUN
m-815	28	2	issue	issue	NOUN
m-815	28	3	03	03	NUM
m-815	29	1	|	|	ADV
m-815	29	2	march	march	PROPN
m-815	29	3	2024	2024	NUM
m-815	30	1	|	|	ADV
m-815	30	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	30	3	1	1	NUM
m-815	30	4	mailto:kkvpmaths@gmail.com	mailto:kkvpmaths@gmail.com	NOUN
m-815	30	5	mailto:drksshankara@gmail.com	mailto:drksshankara@gmail.com	X
m-815	30	6	mailto:dhanu2614@gmail.com	mailto:dhanu2614@gmail.com	PROPN
m-815	30	7	mailto:profprakasha@gmail.com	mailto:profprakasha@gmail.com	PROPN
m-815	30	8	ijo	ijo	PROPN
m-815	30	9	international	international	PROPN
m-815	30	10	journal	journal	PROPN
m-815	30	11	of	of	ADP
m-815	30	12	mathematics	mathematics	PROPN
m-815	30	13	(	(	PUNCT
m-815	30	14	issn	issn	PROPN
m-815	30	15	:	:	PUNCT
m-815	30	16	2992	2992	NUM
m-815	30	17	-	-	SYM
m-815	30	18	4421	4421	NUM
m-815	30	19	)	)	PUNCT
m-815	31	1	venuprasad	venuprasad	PROPN
m-815	32	1	k.	k.	X
m-815	33	1	k.1	k.1	PROPN
m-815	34	1	*	*	PUNCT
m-815	34	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	34	3	volume	volume	NOUN
m-815	34	4	07	07	NUM
m-815	34	5	issue	issue	NOUN
m-815	34	6	03	03	NUM
m-815	34	7	||	||	NUM
m-815	34	8	march	march	NOUN
m-815	34	9	,	,	PUNCT
m-815	34	10	2024	2024	NUM
m-815	34	11	||	||	NOUN
m-815	34	12	mathematical	mathematical	ADJ
m-815	34	13	study	study	NOUN
m-815	34	14	of	of	ADP
m-815	34	15	mhd	mhd	PROPN
m-815	34	16	convective	convective	ADJ
m-815	34	17	flow	flow	NOUN
m-815	34	18	with	with	ADP
m-815	34	19	chemical	chemical	ADJ
m-815	34	20	reaction	reaction	NOUN
m-815	34	21	through	through	ADP
m-815	34	22	a	a	DET
m-815	34	23	porous	porous	ADJ
m-815	34	24	medium	medium	NOUN
m-815	34	25	in	in	ADP
m-815	34	26	a	a	DET
m-815	34	27	vertical	vertical	ADJ
m-815	34	28	wavy	wavy	ADJ
m-815	34	29	channel	channel	NOUN
m-815	34	30	to	to	ADP
m-815	34	31	an	an	DET
m-815	34	32	external	external	ADJ
m-815	34	33	magnetic	magnetic	ADJ
m-815	34	34	field	field	NOUN
m-815	34	35	.	.	PUNCT
m-815	35	1	the	the	DET
m-815	35	2	parabolic	parabolic	PROPN
m-815	35	3	movement	movement	NOUN
m-815	35	4	has	have	VERB
m-815	35	5	several	several	ADJ
m-815	35	6	uses	use	NOUN
m-815	35	7	,	,	PUNCT
m-815	35	8	such	such	ADJ
m-815	35	9	as	as	ADP
m-815	35	10	solar	solar	ADJ
m-815	35	11	cookers	cooker	NOUN
m-815	35	12	,	,	PUNCT
m-815	35	13	solar	solar	ADJ
m-815	35	14	concentrators	concentrator	NOUN
m-815	35	15	,	,	PUNCT
m-815	35	16	and	and	CCONJ
m-815	35	17	parabolic	parabolic	VERB
m-815	35	18	through	through	ADP
m-815	35	19	star	star	NOUN
m-815	35	20	collectors	collector	NOUN
m-815	35	21	.	.	PUNCT
m-815	36	1	there	there	PRON
m-815	36	2	are	be	VERB
m-815	36	3	several	several	ADJ
m-815	36	4	uses	use	NOUN
m-815	36	5	for	for	ADP
m-815	36	6	solar	solar	ADJ
m-815	36	7	cookers	cooker	NOUN
m-815	36	8	with	with	ADP
m-815	36	9	parabolic	parabolic	ADJ
m-815	36	10	concentrator	concentrator	NOUN
m-815	36	11	models	model	NOUN
m-815	36	12	,	,	PUNCT
m-815	36	13	including	include	VERB
m-815	36	14	roasting	roast	VERB
m-815	36	15	,	,	PUNCT
m-815	36	16	baking	baking	NOUN
m-815	36	17	,	,	PUNCT
m-815	36	18	and	and	CCONJ
m-815	36	19	distilling	distilling	NOUN
m-815	36	20	.	.	PUNCT
m-815	37	1	applications	application	NOUN
m-815	37	2	for	for	ADP
m-815	37	3	the	the	DET
m-815	37	4	solar	solar	ADJ
m-815	37	5	concentrator	concentrator	NOUN
m-815	37	6	model	model	NOUN
m-815	37	7	included	include	VERB
m-815	37	8	increasing	increase	VERB
m-815	37	9	evaporation	evaporation	NOUN
m-815	37	10	rates	rate	NOUN
m-815	37	11	in	in	ADP
m-815	37	12	dissipation	dissipation	NOUN
m-815	37	13	streams	stream	NOUN
m-815	37	14	,	,	PUNCT
m-815	37	15	food	food	NOUN
m-815	37	16	dispensing	dispensing	NOUN
m-815	37	17	,	,	PUNCT
m-815	37	18	and	and	CCONJ
m-815	37	19	generating	generate	VERB
m-815	37	20	drinking	drinking	NOUN
m-815	37	21	water	water	NOUN
m-815	37	22	from	from	ADP
m-815	37	23	both	both	CCONJ
m-815	37	24	seawater	seawater	NOUN
m-815	37	25	and	and	CCONJ
m-815	37	26	saltwater	saltwater	NOUN
m-815	37	27	.	.	PUNCT
m-815	38	1	murthy	murthy	ADJ
m-815	38	2	et	et	PROPN
m-815	38	3	al	al	PROPN
m-815	38	4	.	.	PUNCT
m-815	39	1	[	[	X
m-815	39	2	5	5	NUM
m-815	39	3	]	]	PUNCT
m-815	39	4	examined	examine	VERB
m-815	39	5	through	through	ADP
m-815	39	6	the	the	DET
m-815	39	7	assessments	assessment	NOUN
m-815	39	8	of	of	ADP
m-815	39	9	temperature	temperature	NOUN
m-815	39	10	exchanger	exchanger	NOUN
m-815	39	11	units	unit	NOUN
m-815	39	12	'	'	PART
m-815	39	13	thermal	thermal	ADJ
m-815	39	14	characteristics	characteristic	NOUN
m-815	39	15	for	for	ADP
m-815	39	16	parabolic	parabolic	ADJ
m-815	39	17	diffusion	diffusion	NOUN
m-815	39	18	-	-	PUNCT
m-815	39	19	thermo	thermo	NOUN
m-815	39	20	effect	effect	NOUN
m-815	39	21	,	,	PUNCT
m-815	39	22	radiating	radiating	NOUN
m-815	39	23	-	-	PUNCT
m-815	39	24	absorptions	absorption	NOUN
m-815	39	25	,	,	PUNCT
m-815	39	26	hall	hall	NOUN
m-815	39	27	,	,	PUNCT
m-815	39	28	and	and	CCONJ
m-815	39	29	ion	ion	NOUN
m-815	39	30	slip	slip	NOUN
m-815	39	31	influences	influence	NOUN
m-815	39	32	on	on	ADP
m-815	39	33	the	the	DET
m-815	39	34	mhd	mhd	NOUN
m-815	39	35	liberated	liberate	VERB
m-815	39	36	convection	convection	NOUN
m-815	39	37	gyratory	gyratory	NOUN
m-815	39	38	flows	flow	NOUN
m-815	39	39	of	of	ADP
m-815	39	40	the	the	DET
m-815	39	41	nanofluids	nanofluid	NOUN
m-815	39	42	passing	pass	VERB
m-815	39	43	the	the	DET
m-815	39	44	semi	semi	ADJ
m-815	39	45	-	-	ADJ
m-815	39	46	infinite	infinite	ADJ
m-815	39	47	permeable	permeable	ADJ
m-815	39	48	inspiring	inspiring	ADJ
m-815	39	49	plate	plate	NOUN
m-815	39	50	with	with	ADP
m-815	39	51	the	the	DET
m-815	39	52	constant	constant	ADJ
m-815	39	53	temperature	temperature	NOUN
m-815	39	54	sources	source	NOUN
m-815	39	55	were	be	AUX
m-815	39	56	recently	recently	ADV
m-815	39	57	investigated	investigate	VERB
m-815	39	58	by	by	ADP
m-815	39	59	krishna	krishna	PROPN
m-815	39	60	and	and	CCONJ
m-815	39	61	chamkha	chamkha	ADJ
m-815	40	1	[	[	X
m-815	40	2	6	6	NUM
m-815	40	3	]	]	PUNCT
m-815	40	4	.	.	PUNCT
m-815	41	1	krishna	krishna	PROPN
m-815	41	2	et	et	PROPN
m-815	41	3	al	al	PROPN
m-815	41	4	.	.	PUNCT
m-815	42	1	[	[	X
m-815	42	2	7	7	NUM
m-815	42	3	]	]	PUNCT
m-815	42	4	investigated	investigate	VERB
m-815	42	5	the	the	DET
m-815	42	6	effects	effect	NOUN
m-815	42	7	of	of	ADP
m-815	42	8	radiating	radiating	NOUN
m-815	42	9	and	and	CCONJ
m-815	42	10	hall	hall	NOUN
m-815	42	11	currents	current	NOUN
m-815	42	12	on	on	ADP
m-815	42	13	the	the	DET
m-815	42	14	unstable	unstable	ADJ
m-815	42	15	mhd	mhd	NOUN
m-815	42	16	freed	free	VERB
m-815	42	17	central	central	ADJ
m-815	42	18	heating	heating	NOUN
m-815	42	19	flows	flow	NOUN
m-815	42	20	into	into	ADP
m-815	42	21	the	the	DET
m-815	42	22	perpendicular	perpendicular	ADJ
m-815	42	23	channel	channel	NOUN
m-815	42	24	/	/	SYM
m-815	42	25	duct	duct	NOUN
m-815	42	26	packed	pack	VERB
m-815	42	27	by	by	ADP
m-815	42	28	the	the	DET
m-815	42	29	absorbent	absorbent	ADJ
m-815	42	30	media	medium	NOUN
m-815	42	31	.	.	PUNCT
m-815	43	1	krishna	krishna	PROPN
m-815	43	2	and	and	CCONJ
m-815	43	3	chamkha	chamkha	ADJ
m-815	43	4	[	[	X
m-815	43	5	8	8	NUM
m-815	43	6	]	]	PUNCT
m-815	43	7	took	take	VERB
m-815	43	8	into	into	ADP
m-815	43	9	consideration	consideration	NOUN
m-815	43	10	the	the	DET
m-815	43	11	temperature	temperature	NOUN
m-815	43	12	generating	generating	NOUN
m-815	43	13	/	/	SYM
m-815	43	14	absorption	absorption	NOUN
m-815	43	15	,	,	PUNCT
m-815	43	16	thermodiffusions	thermodiffusion	NOUN
m-815	43	17	on	on	ADP
m-815	43	18	the	the	DET
m-815	43	19	unsteady	unsteady	ADJ
m-815	43	20	complimentary	complimentary	ADJ
m-815	43	21	convection	convection	NOUN
m-815	43	22	mhd	mhd	NOUN
m-815	43	23	flows	flow	NOUN
m-815	43	24	of	of	ADP
m-815	43	25	radiation	radiation	NOUN
m-815	43	26	,	,	PUNCT
m-815	43	27	and	and	CCONJ
m-815	43	28	the	the	DET
m-815	43	29	chemically	chemically	ADV
m-815	43	30	reactive	reactive	ADJ
m-815	43	31	second	second	ADJ
m-815	43	32	-	-	PUNCT
m-815	43	33	grade	grade	NOUN
m-815	43	34	liquid	liquid	NOUN
m-815	43	35	passing	pass	VERB
m-815	43	36	past	past	ADP
m-815	43	37	an	an	DET
m-815	43	38	unbounded	unbounded	ADJ
m-815	43	39	perpendicular	perpendicular	ADJ
m-815	43	40	plate	plate	NOUN
m-815	43	41	during	during	ADP
m-815	43	42	the	the	DET
m-815	43	43	absorbent	absorbent	ADJ
m-815	43	44	media	medium	NOUN
m-815	43	45	in	in	ADP
m-815	43	46	addition	addition	NOUN
m-815	43	47	to	to	ADP
m-815	43	48	taking	take	VERB
m-815	43	49	the	the	DET
m-815	43	50	hall	hall	NOUN
m-815	43	51	current	current	NOUN
m-815	43	52	into	into	ADP
m-815	43	53	account	account	NOUN
m-815	43	54	.	.	PUNCT
m-815	44	1	for	for	ADP
m-815	44	2	the	the	DET
m-815	44	3	few	few	ADJ
m-815	44	4	decades	decade	NOUN
m-815	44	5	prior	prior	ADV
m-815	44	6	,	,	PUNCT
m-815	44	7	convective	convective	ADJ
m-815	44	8	heat	heat	NOUN
m-815	44	9	transportations	transportation	NOUN
m-815	44	10	in	in	ADP
m-815	44	11	a	a	DET
m-815	44	12	permeable	permeable	ADJ
m-815	44	13	medium	medium	NOUN
m-815	44	14	have	have	AUX
m-815	44	15	piqued	pique	VERB
m-815	44	16	intense	intense	ADJ
m-815	44	17	curiosity	curiosity	NOUN
m-815	44	18	.	.	PUNCT
m-815	45	1	numerous	numerous	ADJ
m-815	45	2	thermal	thermal	ADJ
m-815	45	3	engineering	engineering	NOUN
m-815	45	4	functions	function	NOUN
m-815	45	5	in	in	ADP
m-815	45	6	a	a	DET
m-815	45	7	range	range	NOUN
m-815	45	8	of	of	ADP
m-815	45	9	constraints	constraint	NOUN
m-815	45	10	,	,	PUNCT
m-815	45	11	such	such	ADJ
m-815	45	12	as	as	ADP
m-815	45	13	geophysics	geophysic	NOUN
m-815	45	14	,	,	PUNCT
m-815	45	15	thermal	thermal	ADJ
m-815	45	16	and	and	CCONJ
m-815	45	17	insulation	insulation	NOUN
m-815	45	18	engineering	engineering	NOUN
m-815	45	19	,	,	PUNCT
m-815	45	20	the	the	DET
m-815	45	21	model	model	NOUN
m-815	45	22	of	of	ADP
m-815	45	23	crowded	crowded	ADJ
m-815	45	24	sphere	sphere	NOUN
m-815	45	25	beds	bed	NOUN
m-815	45	26	,	,	PUNCT
m-815	45	27	electronic	electronic	ADJ
m-815	45	28	system	system	NOUN
m-815	45	29	cooling	cooling	NOUN
m-815	45	30	,	,	PUNCT
m-815	45	31	chemical	chemical	ADJ
m-815	45	32	catalytic	catalytic	ADJ
m-815	45	33	reactor	reactor	NOUN
m-815	45	34	,	,	PUNCT
m-815	45	35	ceramic	ceramic	ADJ
m-815	45	36	processes	process	NOUN
m-815	45	37	,	,	PUNCT
m-815	45	38	granular	granular	ADJ
m-815	45	39	insulations	insulation	NOUN
m-815	45	40	and	and	CCONJ
m-815	45	41	grains	grain	NOUN
m-815	45	42	storage	storage	NOUN
m-815	45	43	device	device	NOUN
m-815	45	44	fibers	fiber	NOUN
m-815	45	45	,	,	PUNCT
m-815	45	46	gasoline	gasoline	NOUN
m-815	45	47	reservoirs	reservoir	NOUN
m-815	45	48	,	,	PUNCT
m-815	45	49	coal	coal	NOUN
m-815	45	50	combustion	combustion	NOUN
m-815	45	51	engines	engine	NOUN
m-815	45	52	,	,	PUNCT
m-815	45	53	groundwater	groundwater	NOUN
m-815	45	54	pollution	pollution	NOUN
m-815	45	55	,	,	PUNCT
m-815	45	56	and	and	CCONJ
m-815	45	57	filtration	filtration	NOUN
m-815	45	58	processes	process	NOUN
m-815	45	59	,	,	PUNCT
m-815	45	60	all	all	PRON
m-815	45	61	stimulate	stimulate	VERB
m-815	45	62	its	its	PRON
m-815	45	63	interests	interest	NOUN
m-815	45	64	.	.	PUNCT
m-815	46	1	the	the	DET
m-815	46	2	partial	partial	ADJ
m-815	46	3	differential	differential	NOUN
m-815	46	4	equations	equation	NOUN
m-815	46	5	recurrently	recurrently	ADV
m-815	46	6	appear	appear	VERB
m-815	46	7	in	in	ADP
m-815	46	8	the	the	DET
m-815	46	9	lot	lot	NOUN
m-815	46	10	of	of	ADP
m-815	46	11	areas	area	NOUN
m-815	46	12	of	of	ADP
m-815	46	13	the	the	DET
m-815	46	14	natural	natural	ADJ
m-815	46	15	and	and	CCONJ
m-815	46	16	physical	physical	ADJ
m-815	46	17	disciplines	discipline	NOUN
m-815	46	18	.	.	PUNCT
m-815	47	1	they	they	PRON
m-815	47	2	described	describe	VERB
m-815	47	3	dissimilar	dissimilar	ADJ
m-815	47	4	physical	physical	ADJ
m-815	47	5	organisms	organism	NOUN
m-815	47	6	,	,	PUNCT
m-815	47	7	ranges	range	VERB
m-815	47	8	from	from	ADP
m-815	47	9	gravitational	gravitational	ADJ
m-815	47	10	to	to	ADP
m-815	47	11	fluid	fluid	ADJ
m-815	47	12	dynamics	dynamic	NOUN
m-815	47	13	and	and	CCONJ
m-815	47	14	had	have	AUX
m-815	47	15	been	be	AUX
m-815	47	16	utilized	utilize	VERB
m-815	47	17	to	to	PART
m-815	47	18	solve	solve	VERB
m-815	47	19	the	the	DET
m-815	47	20	problem	problem	NOUN
m-815	47	21	by	by	ADP
m-815	47	22	the	the	DET
m-815	47	23	physical	physical	ADJ
m-815	47	24	and	and	CCONJ
m-815	47	25	chemical	chemical	NOUN
m-815	47	26	sciences	sciences	PROPN
m-815	47	27	,	,	PUNCT
m-815	47	28	mathematical	mathematical	ADJ
m-815	47	29	bio	bio	PROPN
m-815	47	30	-	-	NOUN
m-815	47	31	sciences	science	NOUN
m-815	47	32	,	,	PUNCT
m-815	47	33	solid	solid	ADJ
m-815	47	34	mechanical	mechanical	ADJ
m-815	47	35	engineering	engineering	NOUN
m-815	47	36	knowledge	knowledge	NOUN
m-815	47	37	,	,	PUNCT
m-815	47	38	etc	etc	X
m-815	47	39	.	.	X
m-815	47	40	soundalgekar	soundalgekar	PROPN
m-815	47	41	and	and	CCONJ
m-815	47	42	takhar	takhar	PROPN
m-815	47	43	initially	initially	ADV
m-815	47	44	,	,	PUNCT
m-815	47	45	deliberated	deliberate	VERB
m-815	47	46	the	the	DET
m-815	47	47	consequence	consequence	NOUN
m-815	47	48	of	of	ADP
m-815	47	49	radiation	radiation	NOUN
m-815	47	50	for	for	ADP
m-815	47	51	the	the	DET
m-815	47	52	natural	natural	ADJ
m-815	47	53	convective	convective	ADJ
m-815	47	54	flow	flow	NOUN
m-815	47	55	of	of	ADP
m-815	47	56	the	the	DET
m-815	47	57	gasses	gas	NOUN
m-815	47	58	over	over	ADP
m-815	47	59	a	a	DET
m-815	47	60	semi	semi	ADJ
m-815	47	61	infinite	infinite	ADJ
m-815	47	62	plate	plate	NOUN
m-815	47	63	with	with	ADP
m-815	47	64	numerical	numerical	ADJ
m-815	47	65	modeling	modeling	NOUN
m-815	47	66	.	.	PUNCT
m-815	48	1	takhar	takhar	PROPN
m-815	48	2	et	et	PROPN
m-815	48	3	al.[9	al.[9	PROPN
m-815	48	4	]	]	PUNCT
m-815	48	5	explored	explore	VERB
m-815	48	6	the	the	DET
m-815	48	7	impact	impact	NOUN
m-815	48	8	of	of	ADP
m-815	48	9	radiation	radiation	NOUN
m-815	48	10	on	on	ADP
m-815	48	11	mhd	mhd	NOUN
m-815	48	12	free	free	ADJ
m-815	48	13	convective	convective	ADJ
m-815	48	14	flow	flow	NOUN
m-815	48	15	past	past	ADP
m-815	48	16	semi	semi	ADJ
m-815	48	17	-	-	ADJ
m-815	48	18	infinite	infinite	ADJ
m-815	48	19	vertical	vertical	ADJ
m-815	48	20	plate	plate	NOUN
m-815	48	21	.	.	PUNCT
m-815	49	1	currently	currently	ADV
m-815	49	2	,	,	PUNCT
m-815	49	3	hossain	hossain	PROPN
m-815	49	4	et	et	PROPN
m-815	49	5	al.[10	al.[10	PROPN
m-815	49	6	]	]	PUNCT
m-815	49	7	exposed	expose	VERB
m-815	49	8	the	the	DET
m-815	49	9	effects	effect	NOUN
m-815	49	10	of	of	ADP
m-815	49	11	radiation	radiation	NOUN
m-815	49	12	on	on	ADP
m-815	49	13	combined	combine	VERB
m-815	49	14	convective	convective	ADJ
m-815	49	15	flow	flow	NOUN
m-815	49	16	during	during	ADP
m-815	49	17	an	an	DET
m-815	49	18	absorbent	absorbent	ADJ
m-815	49	19	plate	plate	NOUN
m-815	49	20	.	.	PUNCT
m-815	50	1	muthucumarswamy	muthucumarswamy	NOUN
m-815	50	2	and	and	CCONJ
m-815	50	3	kumar[11	kumar[11	NOUN
m-815	50	4	]	]	PUNCT
m-815	50	5	explored	explore	VERB
m-815	50	6	the	the	DET
m-815	50	7	heat	heat	NOUN
m-815	50	8	radiation	radiation	NOUN
m-815	50	9	influences	influence	NOUN
m-815	50	10	on	on	ADP
m-815	50	11	affecting	affect	VERB
m-815	50	12	never	never	ADV
m-815	50	13	-	-	PUNCT
m-815	50	14	ending	end	VERB
m-815	50	15	vertical	vertical	ADJ
m-815	50	16	plate	plate	NOUN
m-815	50	17	with	with	ADP
m-815	50	18	variable	variable	ADJ
m-815	50	19	heat	heat	NOUN
m-815	50	20	and	and	CCONJ
m-815	50	21	mass	mass	NOUN
m-815	50	22	diffusions	diffusion	NOUN
m-815	50	23	.	.	PUNCT
m-815	51	1	2.formulation	2.formulation	NUM
m-815	51	2	of	of	ADP
m-815	51	3	the	the	DET
m-815	51	4	problem	problem	NOUN
m-815	51	5	we	we	PRON
m-815	51	6	consider	consider	VERB
m-815	51	7	the	the	DET
m-815	51	8	effect	effect	NOUN
m-815	51	9	of	of	ADP
m-815	51	10	chemical	chemical	ADJ
m-815	51	11	reaction	reaction	NOUN
m-815	51	12	on	on	ADP
m-815	51	13	the	the	DET
m-815	51	14	unsteady	unsteady	ADJ
m-815	51	15	motion	motion	NOUN
m-815	51	16	of	of	ADP
m-815	51	17	viscous	viscous	ADJ
m-815	51	18	,	,	PUNCT
m-815	51	19	fluid	fluid	NOUN
m-815	51	20	through	through	ADP
m-815	51	21	a	a	DET
m-815	51	22	porous	porous	ADJ
m-815	51	23	medium	medium	NOUN
m-815	51	24	in	in	ADP
m-815	51	25	a	a	DET
m-815	51	26	vertical	vertical	ADJ
m-815	51	27	channel	channel	NOUN
m-815	51	28	bounded	bound	VERB
m-815	51	29	by	by	ADP
m-815	51	30	wavy	wavy	ADJ
m-815	51	31	walls	wall	NOUN
m-815	51	32	.	.	PUNCT
m-815	52	1	the	the	DET
m-815	52	2	thermal	thermal	ADJ
m-815	52	3	buoyancy	buoyancy	NOUN
m-815	52	4	in	in	ADP
m-815	52	5	the	the	DET
m-815	52	6	flow	flow	NOUN
m-815	52	7	field	field	NOUN
m-815	52	8	is	be	AUX
m-815	52	9	created	create	VERB
m-815	52	10	by	by	ADP
m-815	52	11	an	an	DET
m-815	52	12	oscillatory	oscillatory	ADJ
m-815	52	13	flux	flux	NOUN
m-815	52	14	in	in	ADP
m-815	52	15	the	the	DET
m-815	52	16	fluid	fluid	ADJ
m-815	52	17	region	region	NOUN
m-815	52	18	.	.	PUNCT
m-815	53	1	the	the	DET
m-815	53	2	walls	wall	NOUN
m-815	53	3	are	be	AUX
m-815	53	4	maintained	maintain	VERB
m-815	53	5	at	at	ADP
m-815	53	6	constant	constant	ADJ
m-815	53	7	temperature	temperature	NOUN
m-815	53	8	and	and	CCONJ
m-815	53	9	concentration	concentration	NOUN
m-815	53	10	.	.	PUNCT
m-815	54	1	the	the	DET
m-815	54	2	boussinesq	boussinesq	ADJ
m-815	54	3	approximation	approximation	NOUN
m-815	54	4	is	be	AUX
m-815	54	5	used	use	VERB
m-815	54	6	so	so	SCONJ
m-815	54	7	that	that	SCONJ
m-815	54	8	the	the	DET
m-815	54	9	density	density	NOUN
m-815	54	10	variation	variation	NOUN
m-815	54	11	ijo	ijo	PROPN
m-815	54	12	journals	journal	NOUN
m-815	54	13	volume	volume	NOUN
m-815	54	14	07	07	NUM
m-815	54	15	|	|	NOUN
m-815	54	16	issue	issue	NOUN
m-815	54	17	03	03	NUM
m-815	55	1	|	|	ADV
m-815	55	2	march	march	PROPN
m-815	55	3	2024	2024	NUM
m-815	56	1	|	|	ADV
m-815	56	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	56	3	2	2	NUM
m-815	56	4	ijo	ijo	PROPN
m-815	56	5	international	international	ADJ
m-815	56	6	journal	journal	PROPN
m-815	56	7	of	of	ADP
m-815	56	8	mathematics	mathematics	PROPN
m-815	56	9	(	(	PUNCT
m-815	56	10	issn	issn	PROPN
m-815	56	11	:	:	PUNCT
m-815	56	12	2992	2992	NUM
m-815	56	13	-	-	SYM
m-815	56	14	4421	4421	NUM
m-815	56	15	)	)	PUNCT
m-815	56	16	venuprasad	venuprasad	PROPN
m-815	56	17	k.	k.	X
m-815	57	1	k.1	k.1	PROPN
m-815	58	1	*	*	PUNCT
m-815	58	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	58	3	volume	volume	NOUN
m-815	58	4	07	07	NUM
m-815	58	5	issue	issue	NOUN
m-815	58	6	03	03	NUM
m-815	58	7	||	||	NUM
m-815	58	8	march	march	NOUN
m-815	58	9	,	,	PUNCT
m-815	58	10	2024	2024	NUM
m-815	58	11	||	||	NOUN
m-815	58	12	mathematical	mathematical	ADJ
m-815	58	13	study	study	NOUN
m-815	58	14	of	of	ADP
m-815	58	15	mhd	mhd	PROPN
m-815	58	16	convective	convective	ADJ
m-815	58	17	flow	flow	NOUN
m-815	58	18	with	with	ADP
m-815	58	19	chemical	chemical	ADJ
m-815	58	20	reaction	reaction	NOUN
m-815	58	21	through	through	ADP
m-815	58	22	a	a	DET
m-815	58	23	porous	porous	ADJ
m-815	58	24	medium	medium	NOUN
m-815	58	25	in	in	ADP
m-815	58	26	a	a	DET
m-815	58	27	vertical	vertical	ADJ
m-815	58	28	wavy	wavy	ADJ
m-815	58	29	channel	channel	NOUN
m-815	58	30	will	will	AUX
m-815	58	31	be	be	AUX
m-815	58	32	considered	consider	VERB
m-815	58	33	only	only	ADV
m-815	58	34	in	in	ADP
m-815	58	35	the	the	DET
m-815	58	36	buoyancy	buoyancy	NOUN
m-815	58	37	force	force	NOUN
m-815	58	38	.	.	PUNCT
m-815	59	1	the	the	DET
m-815	59	2	viscous	viscous	ADJ
m-815	59	3	and	and	CCONJ
m-815	59	4	darcy	darcy	PROPN
m-815	59	5	dissipations	dissipation	NOUN
m-815	59	6	are	be	AUX
m-815	59	7	neglected	neglect	VERB
m-815	59	8	in	in	ADP
m-815	59	9	comparison	comparison	NOUN
m-815	59	10	with	with	ADP
m-815	59	11	heat	heat	NOUN
m-815	59	12	by	by	ADP
m-815	59	13	conduction	conduction	NOUN
m-815	59	14	and	and	CCONJ
m-815	59	15	convection	convection	NOUN
m-815	59	16	in	in	ADP
m-815	59	17	the	the	DET
m-815	59	18	energy	energy	NOUN
m-815	59	19	equation	equation	NOUN
m-815	59	20	.	.	PUNCT
m-815	60	1	also	also	ADV
m-815	60	2	the	the	DET
m-815	60	3	kinematic	kinematic	ADJ
m-815	60	4	viscosity	viscosity	NOUN
m-815	60	5	,the	,the	DET
m-815	60	6	thermal	thermal	ADJ
m-815	60	7	conducting	conduct	VERB
m-815	60	8	k	k	PROPN
m-815	60	9	are	be	AUX
m-815	60	10	treated	treat	VERB
m-815	60	11	as	as	ADP
m-815	60	12	constants	constant	NOUN
m-815	60	13	.	.	PUNCT
m-815	61	1	we	we	PRON
m-815	61	2	choose	choose	VERB
m-815	61	3	a	a	DET
m-815	61	4	rectangular	rectangular	ADJ
m-815	61	5	cartesian	cartesian	ADJ
m-815	61	6	system	system	NOUN
m-815	61	7	0	0	PUNCT
m-815	62	1	(	(	PUNCT
m-815	62	2	x	x	X
m-815	62	3	,	,	PUNCT
m-815	62	4	y	y	PROPN
m-815	62	5	)	)	PUNCT
m-815	62	6	with	with	ADP
m-815	62	7	x	x	X
m-815	62	8	-	-	NOUN
m-815	62	9	axis	axis	NOUN
m-815	62	10	in	in	ADP
m-815	62	11	the	the	DET
m-815	62	12	vertical	vertical	ADJ
m-815	62	13	direction	direction	NOUN
m-815	62	14	and	and	CCONJ
m-815	62	15	y	y	NOUN
m-815	62	16	-	-	PUNCT
m-815	62	17	axis	axis	NOUN
m-815	62	18	normal	normal	ADJ
m-815	62	19	to	to	ADP
m-815	62	20	the	the	DET
m-815	62	21	walls	wall	NOUN
m-815	62	22	.	.	PUNCT
m-815	63	1	the	the	DET
m-815	63	2	walls	wall	NOUN
m-815	63	3	of	of	ADP
m-815	63	4	the	the	DET
m-815	63	5	channel	channel	NOUN
m-815	63	6	are	be	AUX
m-815	63	7	at	at	ADP
m-815	63	8	)	)	PUNCT
m-815	63	9	(	(	PUNCT
m-815	63	10	l	l	NOUN
m-815	63	11	x	x	PUNCT
m-815	63	12	lfy	lfy	VERB
m-815	63	13			NUM
m-815	63	14			PROPN
m-815	63	15	.	.	PUNCT
m-815	64	1	the	the	DET
m-815	64	2	flow	flow	NOUN
m-815	64	3	is	be	AUX
m-815	64	4	maintained	maintain	VERB
m-815	64	5	by	by	ADP
m-815	64	6	an	an	DET
m-815	64	7	oscillatory	oscillatory	ADJ
m-815	64	8	volume	volume	NOUN
m-815	64	9	flux	flux	NOUN
m-815	64	10	for	for	ADP
m-815	64	11	which	which	PRON
m-815	64	12	a	a	DET
m-815	64	13	characteristic	characteristic	ADJ
m-815	64	14	velocity	velocity	NOUN
m-815	64	15	is	be	AUX
m-815	64	16	defined	define	VERB
m-815	64	17	as	as	ADP
m-815	64	18			PUNCT
m-815	64	19			X
m-815	64	20			NOUN
m-815	65	1	fl	fl	ADV
m-815	66	1	fl	fl	NOUN
m-815	67	1	ti	ti	NOUN
m-815	68	1	dyu	dyu	ADV
m-815	69	1	l	l	NOUN
m-815	70	1	ekq	ekq	NOUN
m-815	70	2	1	1	NUM
m-815	70	3	)	)	PUNCT
m-815	70	4	1	1	NUM
m-815	70	5	(	(	PUNCT
m-815	70	6			X
m-815	70	7	.	.	PUNCT
m-815	71	1	(	(	PUNCT
m-815	71	2	1	1	X
m-815	71	3	)	)	PUNCT
m-815	71	4	the	the	DET
m-815	71	5	boundary	boundary	ADJ
m-815	71	6	conditions	condition	NOUN
m-815	71	7	for	for	ADP
m-815	71	8	the	the	DET
m-815	71	9	velocity	velocity	NOUN
m-815	71	10	and	and	CCONJ
m-815	71	11	temperature	temperature	NOUN
m-815	71	12	fields	field	NOUN
m-815	71	13	are	be	AUX
m-815	71	14	u	u	NOUN
m-815	71	15	=	=	NOUN
m-815	71	16	0	0	NUM
m-815	71	17	,	,	PUNCT
m-815	71	18	v	v	NOUN
m-815	71	19	=	=	SYM
m-815	71	20	0	0	NUM
m-815	71	21	,	,	PUNCT
m-815	71	22	t	t	PROPN
m-815	71	23	=	=	PROPN
m-815	71	24	t1	t1	NOUN
m-815	71	25	,	,	PUNCT
m-815	71	26	c	c	X
m-815	71	27	=	=	NOUN
m-815	71	28	c1	c1	NOUN
m-815	71	29	on	on	ADP
m-815	71	30	)	)	PUNCT
m-815	71	31	(	(	PUNCT
m-815	71	32	l	l	NOUN
m-815	71	33	x	x	PUNCT
m-815	71	34	lfy	lfy	VERB
m-815	71	35			VERB
m-815	71	36			ADJ
m-815	71	37	22,0,0	22,0,0	NUM
m-815	71	38	ccttvu	ccttvu	NOUN
m-815	71	39			PROPN
m-815	71	40	on	on	ADP
m-815	71	41	)	)	PUNCT
m-815	71	42	(	(	PUNCT
m-815	71	43	l	l	NOUN
m-815	71	44	x	x	PUNCT
m-815	71	45	lfy	lfy	VERB
m-815	71	46			PROPN
m-815	71	47			ADJ
m-815	71	48	(	(	PUNCT
m-815	71	49	2	2	NUM
m-815	71	50	)	)	PUNCT
m-815	71	51	in	in	ADP
m-815	71	52	view	view	NOUN
m-815	71	53	of	of	ADP
m-815	71	54	the	the	DET
m-815	71	55	continuity	continuity	NOUN
m-815	71	56	equation	equation	NOUN
m-815	71	57	we	we	PRON
m-815	71	58	define	define	VERB
m-815	71	59	the	the	DET
m-815	71	60	stream	stream	NOUN
m-815	71	61	function	function	NOUN
m-815	71	62			NOUN
m-815	71	63	as	as	ADP
m-815	71	64	u	u	NOUN
m-815	71	65	=	=	PROPN
m-815	71	66	-	-	PROPN
m-815	71	67	y	y	PROPN
m-815	71	68	,	,	PUNCT
m-815	71	69	v	v	NOUN
m-815	71	70	=	=	SYM
m-815	71	71			NOUN
m-815	71	72	x	x	SYM
m-815	71	73	(	(	PUNCT
m-815	71	74	3	3	X
m-815	71	75	)	)	PUNCT
m-815	71	76	the	the	DET
m-815	71	77	equations	equation	NOUN
m-815	71	78	governing	govern	VERB
m-815	71	79	the	the	DET
m-815	71	80	flow	flow	NOUN
m-815	71	81	,	,	PUNCT
m-815	71	82	heat	heat	NOUN
m-815	71	83	and	and	CCONJ
m-815	71	84	mass	mass	NOUN
m-815	71	85	transfer	transfer	NOUN
m-815	71	86	in	in	ADP
m-815	71	87	terms	term	NOUN
m-815	71	88	of	of	ADP
m-815	71	89	the	the	DET
m-815	71	90	stokes	stoke	NOUN
m-815	71	91	steam	steam	NOUN
m-815	71	92	function	function	NOUN
m-815	71	93			NOUN
m-815	71	94	are	be	AUX
m-815	71	95			NUM
m-815	71	96			NOUN
m-815	71	97			NOUN
m-815	71	98			PROPN
m-815	71	99	2	2	NUM
m-815	71	100	0	0	NUM
m-815	71	101	0	0	NUM
m-815	71	102	4222	4222	NUM
m-815	71	103	)	)	PUNCT
m-815	71	104	(	(	PUNCT
m-815	71	105	)	)	PUNCT
m-815	71	106	(	(	PUNCT
m-815	71	107	)	)	PUNCT
m-815	71	108	(	(	PUNCT
m-815	71	109	]	]	X
m-815	71	110	)	)	PUNCT
m-815	71	111	(	(	PUNCT
m-815	71	112	)	)	PUNCT
m-815	71	113	(	(	PUNCT
m-815	71	114	)	)	PUNCT
m-815	72	1	[	[	X
m-815	72	2	(	(	PUNCT
m-815	72	3			PROPN
m-815	72	4			PROPN
m-815	72	5			PROPN
m-815	72	6	k	k	PROPN
m-815	72	7	ccg	ccg	PROPN
m-815	72	8	ttg	ttg	PROPN
m-815	72	9	y	y	PROPN
m-815	72	10	yxyyxt	yxyyxt	PROPN
m-815	72	11	(	(	PUNCT
m-815	72	12	4	4	NUM
m-815	72	13	)	)	PUNCT
m-815	72	14	)	)	PUNCT
m-815	72	15	(	(	PUNCT
m-815	72	16	)	)	PUNCT
m-815	72	17	(	(	PUNCT
m-815	72	18	)	)	PUNCT
m-815	72	19	(	(	PUNCT
m-815	72	20	1	1	NUM
m-815	72	21	2	2	NUM
m-815	72	22	eofpe	eofpe	NOUN
m-815	72	23	ccqttqtk	ccqttqtk	NOUN
m-815	72	24	y	y	PROPN
m-815	72	25	t	t	PROPN
m-815	73	1	xx	xx	NUM
m-815	73	2	t	t	PROPN
m-815	73	3	yt	yt	PROPN
m-815	73	4	t	t	PROPN
m-815	73	5	c	c	PROPN
m-815	73	6			NOUN
m-815	73	7			ADJ
m-815	73	8			ADJ
m-815	73	9			ADJ
m-815	73	10			ADJ
m-815	73	11			PROPN
m-815	73	12			PROPN
m-815	73	13			ADJ
m-815	73	14			PROPN
m-815	73	15			PROPN
m-815	73	16			PROPN
m-815	73	17			PROPN
m-815	73	18			PROPN
m-815	73	19			PROPN
m-815	73	20			NOUN
m-815	73	21	(	(	PUNCT
m-815	73	22	5	5	NUM
m-815	73	23	)	)	PUNCT
m-815	73	24	)	)	PUNCT
m-815	74	1	(	(	PUNCT
m-815	74	2	)	)	PUNCT
m-815	74	3	(	(	PUNCT
m-815	74	4	1	1	NUM
m-815	74	5	2	2	NUM
m-815	74	6	1	1	NUM
m-815	74	7	occkcd	occkcd	NOUN
m-815	74	8	y	y	PROPN
m-815	74	9	c	c	NOUN
m-815	75	1	xx	xx	PUNCT
m-815	75	2	c	c	NOUN
m-815	75	3	yt	yt	NOUN
m-815	75	4	c	c	PROPN
m-815	75	5			NOUN
m-815	75	6			ADJ
m-815	75	7			ADJ
m-815	75	8			ADJ
m-815	75	9			ADJ
m-815	75	10			PROPN
m-815	75	11			PROPN
m-815	75	12			ADJ
m-815	75	13			PROPN
m-815	75	14			PROPN
m-815	75	15			PROPN
m-815	75	16			PROPN
m-815	75	17			PROPN
m-815	75	18			NOUN
m-815	75	19	(	(	PUNCT
m-815	75	20	6	6	X
m-815	75	21	)	)	PUNCT
m-815	75	22	introducing	introduce	VERB
m-815	75	23	the	the	DET
m-815	75	24	non	non	ADJ
m-815	75	25	-	-	ADJ
m-815	75	26	dimensional	dimensional	ADJ
m-815	75	27	variables	variable	NOUN
m-815	75	28	in	in	ADP
m-815	75	29	(	(	PUNCT
m-815	75	30	4	4	NUM
m-815	75	31	)	)	PUNCT
m-815	75	32	-(6	-(6	PROPN
m-815	75	33	)	)	PUNCT
m-815	75	34	as	as	ADP
m-815	75	35	21	21	NUM
m-815	75	36	2	2	NUM
m-815	75	37	21	21	NUM
m-815	75	38	2	2	NUM
m-815	75	39	,	,	PUNCT
m-815	75	40	,	,	PUNCT
m-815	75	41	/,,/,/	/,,/,/	PUNCT
m-815	75	42	cc	cc	ADP
m-815	75	43	cc	cc	PROPN
m-815	75	44	c	c	PROPN
m-815	75	45	tt	tt	PROPN
m-815	75	46	tt	tt	PROPN
m-815	75	47	ttlyylxx	ttlyylxx	PROPN
m-815	75	48			PROPN
m-815	75	49			PROPN
m-815	75	50			PROPN
m-815	75	51			PROPN
m-815	75	52			NOUN
m-815	75	53			NOUN
m-815	75	54			X
m-815	75	55	(	(	PUNCT
m-815	75	56	7	7	X
m-815	75	57	)	)	PUNCT
m-815	76	1	the	the	DET
m-815	76	2	governing	govern	VERB
m-815	76	3	equations	equation	NOUN
m-815	76	4	in	in	ADP
m-815	76	5	the	the	DET
m-815	76	6	non	non	ADJ
m-815	76	7	-	-	ADJ
m-815	76	8	dimensional	dimensional	ADJ
m-815	76	9	form	form	NOUN
m-815	76	10	(	(	PUNCT
m-815	76	11	after	after	ADP
m-815	76	12	dropping	drop	VERB
m-815	76	13	the	the	DET
m-815	76	14	dashes	dash	NOUN
m-815	76	15	)	)	PUNCT
m-815	76	16	are	be	AUX
m-815	76	17			PROPN
m-815	76	18			NOUN
m-815	76	19			NOUN
m-815	77	1	214	214	NUM
m-815	77	2	2	2	NUM
m-815	77	3	22	22	NUM
m-815	77	4	)	)	PUNCT
m-815	77	5	)	)	PUNCT
m-815	77	6	(	(	PUNCT
m-815	77	7	(	(	PUNCT
m-815	77	8	)	)	PUNCT
m-815	77	9	)	)	PUNCT
m-815	77	10	,	,	PUNCT
m-815	77	11	(	(	PUNCT
m-815	77	12	)	)	PUNCT
m-815	77	13	,	,	PUNCT
m-815	77	14	(	(	PUNCT
m-815	77	15	)	)	PUNCT
m-815	77	16	(	(	PUNCT
m-815	77	17	(	(	PUNCT
m-815	77	18			PROPN
m-815	77	19			PROPN
m-815	77	20			NOUN
m-815	77	21			PUNCT
m-815	77	22	dnc	dnc	NOUN
m-815	77	23	r	r	NOUN
m-815	77	24	g	g	NOUN
m-815	77	25	yx	yx	NOUN
m-815	77	26	r	r	NOUN
m-815	77	27	yyt	yyt	NOUN
m-815	77	28	(	(	PUNCT
m-815	77	29	8)	8)	NUM
m-815	77	30	cq	cq	NOUN
m-815	77	31	yxxyt	yxxyt	PROPN
m-815	77	32	p	p	PROPN
m-815	77	33	1	1	NUM
m-815	77	34	22	22	NUM
m-815	77	35	)	)	PUNCT
m-815	77	36	(	(	PUNCT
m-815	77	37			NOUN
m-815	77	38			ADJ
m-815	77	39			ADJ
m-815	77	40			ADJ
m-815	77	41			ADJ
m-815	77	42			PROPN
m-815	77	43			PROPN
m-815	77	44			ADJ
m-815	77	45			PROPN
m-815	77	46			PROPN
m-815	77	47			PROPN
m-815	77	48			PROPN
m-815	77	49			PROPN
m-815	77	50			ADV
m-815	77	51			SYM
m-815	77	52			NUM
m-815	77	53	(	(	PUNCT
m-815	77	54	9	9	NUM
m-815	77	55	)	)	PUNCT
m-815	77	56	ijo	ijo	PROPN
m-815	77	57	journals	journal	NOUN
m-815	77	58	volume	volume	NOUN
m-815	77	59	07	07	NUM
m-815	78	1	|	|	NOUN
m-815	78	2	issue	issue	NOUN
m-815	78	3	03	03	NUM
m-815	79	1	|	|	ADV
m-815	79	2	march	march	PROPN
m-815	79	3	2024	2024	NUM
m-815	80	1	|	|	ADV
m-815	80	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	80	3	3	3	NUM
m-815	80	4	ijo	ijo	PROPN
m-815	80	5	international	international	PROPN
m-815	80	6	journal	journal	PROPN
m-815	80	7	of	of	ADP
m-815	80	8	mathematics	mathematics	PROPN
m-815	80	9	(	(	PUNCT
m-815	80	10	issn	issn	PROPN
m-815	80	11	:	:	PUNCT
m-815	80	12	2992	2992	NUM
m-815	80	13	-	-	SYM
m-815	80	14	4421	4421	NUM
m-815	80	15	)	)	PUNCT
m-815	80	16	venuprasad	venuprasad	PROPN
m-815	80	17	k.	k.	X
m-815	81	1	k.1	k.1	PROPN
m-815	82	1	*	*	PUNCT
m-815	82	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	82	3	volume	volume	NOUN
m-815	82	4	07	07	NUM
m-815	82	5	issue	issue	NOUN
m-815	82	6	03	03	NUM
m-815	82	7	||	||	NUM
m-815	82	8	march	march	NOUN
m-815	82	9	,	,	PUNCT
m-815	82	10	2024	2024	NUM
m-815	82	11	||	||	NOUN
m-815	82	12	mathematical	mathematical	ADJ
m-815	82	13	study	study	NOUN
m-815	82	14	of	of	ADP
m-815	82	15	mhd	mhd	PROPN
m-815	82	16	convective	convective	ADJ
m-815	82	17	flow	flow	NOUN
m-815	82	18	with	with	ADP
m-815	82	19	chemical	chemical	ADJ
m-815	82	20	reaction	reaction	NOUN
m-815	82	21	through	through	ADP
m-815	82	22	a	a	DET
m-815	82	23	porous	porous	ADJ
m-815	82	24	medium	medium	NOUN
m-815	82	25	in	in	ADP
m-815	82	26	a	a	DET
m-815	82	27	vertical	vertical	ADJ
m-815	82	28	wavy	wavy	ADJ
m-815	82	29	channel	channel	NOUN
m-815	82	30	kcc	kcc	PROPN
m-815	82	31	y	y	PROPN
m-815	83	1	c	c	NOUN
m-815	83	2	xx	xx	PUNCT
m-815	84	1	c	c	NOUN
m-815	84	2	yt	yt	PROPN
m-815	84	3	c	c	PROPN
m-815	84	4	sc	sc	PROPN
m-815	84	5			PROPN
m-815	84	6			ADJ
m-815	84	7			ADJ
m-815	84	8			ADJ
m-815	84	9			ADJ
m-815	84	10			PROPN
m-815	84	11			PROPN
m-815	84	12			ADJ
m-815	84	13			PROPN
m-815	84	14			PROPN
m-815	84	15			PROPN
m-815	84	16			PROPN
m-815	84	17			PROPN
m-815	84	18	22	22	NUM
m-815	84	19	)	)	PUNCT
m-815	84	20	(	(	PUNCT
m-815	84	21			NOUN
m-815	84	22			NUM
m-815	84	23	(	(	PUNCT
m-815	84	24	10	10	NUM
m-815	84	25	)	)	PUNCT
m-815	84	26	where	where	SCONJ
m-815	84	27			INTJ
m-815	85	1	ul	ul	INTJ
m-815	85	2	r	r	NOUN
m-815	85	3			PROPN
m-815	85	4	(	(	PUNCT
m-815	85	5	reynolds	reynolds	PROPN
m-815	85	6	number	number	PROPN
m-815	85	7	)	)	PUNCT
m-815	85	8	,	,	PUNCT
m-815	85	9	2	2	NUM
m-815	85	10	3	3	NUM
m-815	85	11			NOUN
m-815	85	12			PROPN
m-815	85	13	ltg	ltg	PROPN
m-815	86	1	g	g	PROPN
m-815	86	2	e	e	PROPN
m-815	86	3			PROPN
m-815	86	4	(	(	PUNCT
m-815	86	5	grashof	grashof	ADJ
m-815	86	6	number	number	NOUN
m-815	86	7	)	)	PUNCT
m-815	87	1	f	f	PROPN
m-815	88	1	p	p	X
m-815	88	2	k	k	PROPN
m-815	89	1	c	c	NUM
m-815	89	2			ADJ
m-815	89	3	(	(	PUNCT
m-815	89	4	prandtl	prandtl	NOUN
m-815	89	5	number	number	NOUN
m-815	89	6	)	)	PUNCT
m-815	89	7	,	,	PUNCT
m-815	89	8	1d	1d	NUM
m-815	89	9	sc	sc	PROPN
m-815	89	10			NOUN
m-815	89	11			PROPN
m-815	89	12	(	(	PUNCT
m-815	89	13	schmidt	schmidt	ADJ
m-815	89	14	number	number	NOUN
m-815	89	15	)	)	PUNCT
m-815	89	16	,	,	PUNCT
m-815	89	17	pf	pf	NOUN
m-815	89	18	ck	ck	PROPN
m-815	89	19	ql2	ql2	NOUN
m-815	89	20			NOUN
m-815	89	21	(	(	PUNCT
m-815	89	22	heat	heat	NOUN
m-815	89	23	source	source	NOUN
m-815	89	24	parameter	parameter	NOUN
m-815	89	25	)	)	PUNCT
m-815	89	26	,	,	PUNCT
m-815	89	27	1	1	NUM
m-815	89	28	2	2	NUM
m-815	89	29	1	1	NUM
m-815	89	30	d	d	NOUN
m-815	89	31	lk	lk	PROPN
m-815	90	1	k	k	PROPN
m-815	90	2			PROPN
m-815	90	3	(	(	PUNCT
m-815	90	4	chemical	chemical	NOUN
m-815	90	5	reaction	reaction	NOUN
m-815	90	6	parameter	parameter	NOUN
m-815	90	7	)	)	PUNCT
m-815	90	8	,	,	PUNCT
m-815	90	9			INTJ
m-815	90	10			X
m-815	90	11			NUM
m-815	90	12	2	2	NUM
m-815	90	13	2	2	NUM
m-815	90	14	l	l	NOUN
m-815	90	15			NOUN
m-815	90	16	(	(	PUNCT
m-815	90	17	wormsely	wormsely	ADV
m-815	90	18	number	number	NOUN
m-815	90	19	)	)	PUNCT
m-815	90	20	,	,	PUNCT
m-815	90	21	k	k	PROPN
m-815	90	22	l	l	NOUN
m-815	90	23	d	d	NOUN
m-815	90	24	2	2	NUM
m-815	90	25	1	1	NUM
m-815	90	26			NOUN
m-815	90	27	(	(	PUNCT
m-815	90	28	darcy	darcy	PROPN
m-815	90	29	parameter	parameter	PROPN
m-815	90	30	)	)	PUNCT
m-815	90	31	,	,	PUNCT
m-815	90	32	)	)	PUNCT
m-815	90	33	(	(	PUNCT
m-815	90	34	)	)	PUNCT
m-815	90	35	(	(	PUNCT
m-815	90	36	21	21	NUM
m-815	90	37	2	2	NUM
m-815	90	38	211	211	NUM
m-815	90	39	1	1	NUM
m-815	90	40	ttk	ttk	NOUN
m-815	90	41	lccq	lccq	NOUN
m-815	90	42	q	q	PROPN
m-815	91	1	f	f	PROPN
m-815	91	2			PROPN
m-815	91	3			VERB
m-815	91	4			PRON
m-815	91	5	(	(	PUNCT
m-815	91	6	radiation	radiation	NOUN
m-815	91	7	absorption	absorption	NOUN
m-815	91	8	parameter	parameter	NOUN
m-815	91	9	)	)	PUNCT
m-815	91	10	the	the	DET
m-815	91	11	corresponding	corresponding	ADJ
m-815	91	12	boundary	boundary	ADJ
m-815	91	13	conditions	condition	NOUN
m-815	91	14	are	be	AUX
m-815	91	15	1)1()1	1)1()1	NUM
m-815	91	16	(	(	PUNCT
m-815	91	17			PROPN
m-815	91	18			PROPN
m-815	91	19	10,0	10,0	NUM
m-815	92	1			PROPN
m-815	92	2			ADJ
m-815	92	3			ADJ
m-815	93	1			PROPN
m-815	93	2			ADJ
m-815	93	3			PROPN
m-815	93	4			NUM
m-815	93	5			NOUN
m-815	93	6	at	at	ADP
m-815	93	7	yx	yx	PROPN
m-815	93	8	(	(	PUNCT
m-815	93	9	11	11	NUM
m-815	93	10	)	)	PUNCT
m-815	93	11	10,0	10,0	NOUN
m-815	93	12	)	)	PUNCT
m-815	93	13	,	,	PUNCT
m-815	93	14	(	(	PUNCT
m-815	93	15	11,1	11,1	NUM
m-815	93	16	)	)	PUNCT
m-815	93	17	,	,	PUNCT
m-815	93	18	(	(	PUNCT
m-815	93	19			VERB
m-815	93	20			X
m-815	93	21			NOUN
m-815	93	22			NOUN
m-815	93	23	oncyx	oncyx	NOUN
m-815	93	24	oncyx	oncyx	NOUN
m-815	93	25	00,0	00,0	NOUN
m-815	93	26			NUM
m-815	93	27			ADJ
m-815	93	28			ADJ
m-815	93	29			PROPN
m-815	93	30			ADJ
m-815	93	31			ADJ
m-815	93	32			NUM
m-815	93	33			X
m-815	93	34	at	at	ADP
m-815	93	35	y	y	PROPN
m-815	93	36	c	c	PROPN
m-815	93	37	y	y	PROPN
m-815	93	38	(	(	PUNCT
m-815	93	39	12	12	NUM
m-815	93	40	)	)	PUNCT
m-815	93	41	the	the	DET
m-815	93	42	value	value	NOUN
m-815	93	43	of	of	ADP
m-815	93	44			NOUN
m-815	93	45	on	on	ADP
m-815	93	46	the	the	DET
m-815	93	47	boundary	boundary	NOUN
m-815	93	48	assumes	assume	VERB
m-815	93	49	the	the	DET
m-815	93	50	constant	constant	ADJ
m-815	93	51	volumetric	volumetric	NOUN
m-815	93	52	flow	flow	NOUN
m-815	93	53	in	in	ADP
m-815	93	54	consistent	consistent	ADJ
m-815	93	55	with	with	ADP
m-815	93	56	the	the	DET
m-815	93	57	hyphothesis	hyphothesis	NOUN
m-815	93	58	(	(	PUNCT
m-815	93	59	1	1	NUM
m-815	93	60	)	)	PUNCT
m-815	93	61	.also	.also	VERB
m-815	93	62	the	the	DET
m-815	93	63	wall	wall	PROPN
m-815	93	64	temperature	temperature	NOUN
m-815	93	65	varies	vary	VERB
m-815	93	66	in	in	ADP
m-815	93	67	the	the	DET
m-815	93	68	axial	axial	ADJ
m-815	93	69	direction	direction	NOUN
m-815	93	70	in	in	ADP
m-815	93	71	accordance	accordance	NOUN
m-815	93	72	with	with	ADP
m-815	93	73	the	the	DET
m-815	93	74	prescribed	prescribe	VERB
m-815	93	75	arbitrary	arbitrary	ADJ
m-815	93	76	function	function	NOUN
m-815	93	77	t	t	NOUN
m-815	93	78	.	.	PUNCT
m-815	94	1	3	3	X
m-815	94	2	.	.	X
m-815	94	3	method	method	NOUN
m-815	94	4	of	of	ADP
m-815	94	5	solution	solution	NOUN
m-815	94	6	the	the	DET
m-815	94	7	main	main	ADJ
m-815	94	8	aim	aim	NOUN
m-815	94	9	of	of	ADP
m-815	94	10	the	the	DET
m-815	94	11	analysis	analysis	NOUN
m-815	94	12	is	be	AUX
m-815	94	13	to	to	PART
m-815	94	14	discuss	discuss	VERB
m-815	94	15	the	the	DET
m-815	94	16	perturbations	perturbation	NOUN
m-815	94	17	created	create	VERB
m-815	94	18	over	over	ADP
m-815	94	19	a	a	DET
m-815	94	20	combined	combine	VERB
m-815	94	21	free	free	ADJ
m-815	94	22	and	and	CCONJ
m-815	94	23	forced	force	VERB
m-815	94	24	convection	convection	NOUN
m-815	94	25	flow	flow	NOUN
m-815	94	26	due	due	ADJ
m-815	94	27	to	to	ADP
m-815	94	28	traveling	travel	VERB
m-815	94	29	thermal	thermal	ADJ
m-815	94	30	wave	wave	NOUN
m-815	94	31	imposed	impose	VERB
m-815	94	32	on	on	ADP
m-815	94	33	the	the	DET
m-815	94	34	boundaries	boundary	NOUN
m-815	94	35	.	.	PUNCT
m-815	95	1	the	the	DET
m-815	95	2	perturbation	perturbation	NOUN
m-815	95	3	analysis	analysis	NOUN
m-815	95	4	is	be	AUX
m-815	95	5	carried	carry	VERB
m-815	95	6	out	out	ADP
m-815	95	7	by	by	ADP
m-815	95	8	assuming	assume	VERB
m-815	95	9	that	that	SCONJ
m-815	95	10	the	the	DET
m-815	95	11	aspect	aspect	NOUN
m-815	95	12	ratio	ratio	NOUN
m-815	95	13			NUM
m-815	95	14	to	to	PART
m-815	95	15	be	be	AUX
m-815	95	16	small	small	ADJ
m-815	95	17	.	.	PUNCT
m-815	96	1	introduce	introduce	VERB
m-815	96	2	the	the	DET
m-815	96	3	transformation	transformation	NOUN
m-815	96	4	such	such	ADJ
m-815	96	5	that	that	SCONJ
m-815	96	6	xx	xx	NUM
m-815	96	7	xx	xx	NUM
m-815	96	8			ADJ
m-815	96	9			PROPN
m-815	96	10			PROPN
m-815	96	11			ADJ
m-815	96	12			PROPN
m-815	96	13			NUM
m-815	96	14			NOUN
m-815	96	15	,	,	PUNCT
m-815	96	16	then	then	ADV
m-815	96	17	)	)	PUNCT
m-815	96	18	1	1	NUM
m-815	96	19	(	(	PUNCT
m-815	96	20	)	)	PUNCT
m-815	96	21	(	(	PUNCT
m-815	96	22	o	o	NOUN
m-815	96	23	x	x	X
m-815	96	24	o	o	NOUN
m-815	96	25	x	x	SYM
m-815	96	26			X
m-815	96	27			ADJ
m-815	96	28			ADJ
m-815	96	29			PUNCT
m-815	96	30			ADJ
m-815	96	31			PROPN
m-815	96	32			PROPN
m-815	96	33	for	for	ADP
m-815	96	34	small	small	ADJ
m-815	96	35	values	value	NOUN
m-815	96	36	of	of	ADP
m-815	96	37	<<1	<<1	NUM
m-815	96	38	,	,	PUNCT
m-815	96	39	the	the	DET
m-815	96	40	flow	flow	NOUN
m-815	96	41	develops	develop	VERB
m-815	96	42	slowly	slowly	ADV
m-815	96	43	with	with	ADP
m-815	96	44	axial	axial	ADJ
m-815	96	45	gradient	gradient	NOUN
m-815	96	46	of	of	ADP
m-815	96	47	order	order	NOUN
m-815	96	48			NUM
m-815	96	49	and	and	CCONJ
m-815	96	50	hence	hence	ADV
m-815	96	51	we	we	PRON
m-815	96	52	take	take	VERB
m-815	96	53	)	)	PUNCT
m-815	96	54	1(o	1(o	NUM
m-815	96	55	x	x	SYM
m-815	96	56			X
m-815	96	57			ADJ
m-815	96	58			PROPN
m-815	96	59	ijo	ijo	PROPN
m-815	96	60	journals	journal	NOUN
m-815	96	61	volume	volume	NOUN
m-815	96	62	07	07	NUM
m-815	97	1	|	|	NOUN
m-815	97	2	issue	issue	NOUN
m-815	97	3	03	03	NUM
m-815	98	1	|	|	ADV
m-815	98	2	march	march	PROPN
m-815	98	3	2024	2024	NUM
m-815	99	1	|	|	ADV
m-815	99	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	99	3	4	4	NUM
m-815	99	4	ijo	ijo	PROPN
m-815	99	5	international	international	ADJ
m-815	99	6	journal	journal	PROPN
m-815	99	7	of	of	ADP
m-815	99	8	mathematics	mathematics	PROPN
m-815	99	9	(	(	PUNCT
m-815	99	10	issn	issn	PROPN
m-815	99	11	:	:	PUNCT
m-815	99	12	2992	2992	NUM
m-815	99	13	-	-	SYM
m-815	99	14	4421	4421	NUM
m-815	99	15	)	)	PUNCT
m-815	99	16	venuprasad	venuprasad	PROPN
m-815	99	17	k.	k.	X
m-815	100	1	k.1	k.1	PROPN
m-815	101	1	*	*	PUNCT
m-815	101	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	101	3	volume	volume	NOUN
m-815	101	4	07	07	NUM
m-815	101	5	issue	issue	NOUN
m-815	101	6	03	03	NUM
m-815	101	7	||	||	NUM
m-815	101	8	march	march	NOUN
m-815	101	9	,	,	PUNCT
m-815	101	10	2024	2024	NUM
m-815	101	11	||	||	NOUN
m-815	101	12	mathematical	mathematical	ADJ
m-815	101	13	study	study	NOUN
m-815	101	14	of	of	ADP
m-815	101	15	mhd	mhd	PROPN
m-815	101	16	convective	convective	ADJ
m-815	101	17	flow	flow	NOUN
m-815	101	18	with	with	ADP
m-815	101	19	chemical	chemical	ADJ
m-815	101	20	reaction	reaction	NOUN
m-815	101	21	through	through	ADP
m-815	101	22	a	a	DET
m-815	101	23	porous	porous	ADJ
m-815	101	24	medium	medium	NOUN
m-815	101	25	in	in	ADP
m-815	101	26	a	a	DET
m-815	101	27	vertical	vertical	ADJ
m-815	101	28	wavy	wavy	ADJ
m-815	101	29	channel	channel	NOUN
m-815	101	30	using	use	VERB
m-815	101	31	the	the	DET
m-815	101	32	above	above	ADJ
m-815	101	33	transformation	transformation	NOUN
m-815	101	34	the	the	DET
m-815	101	35	equations(8	equations(8	PROPN
m-815	101	36	10	10	NUM
m-815	101	37	)	)	PUNCT
m-815	101	38	reduces	reduce	VERB
m-815	101	39	to	to	ADP
m-815	101	40			PROPN
m-815	101	41			NOUN
m-815	101	42			X
m-815	101	43	214	214	NUM
m-815	101	44	1	1	NUM
m-815	101	45	2	2	NUM
m-815	101	46	12	12	NUM
m-815	101	47	1	1	NUM
m-815	101	48	2	2	NUM
m-815	101	49	)	)	PUNCT
m-815	101	50	)	)	PUNCT
m-815	101	51	(	(	PUNCT
m-815	101	52	(	(	PUNCT
m-815	101	53	)	)	PUNCT
m-815	101	54	)	)	PUNCT
m-815	101	55	,	,	PUNCT
m-815	101	56	(	(	PUNCT
m-815	101	57	)	)	PUNCT
m-815	101	58	,	,	PUNCT
m-815	101	59	(	(	PUNCT
m-815	101	60	)	)	PUNCT
m-815	101	61	(	(	PUNCT
m-815	101	62	(	(	PUNCT
m-815	101	63			PROPN
m-815	101	64			PROPN
m-815	101	65			NOUN
m-815	101	66			PUNCT
m-815	101	67	dnc	dnc	NOUN
m-815	101	68	r	r	NOUN
m-815	101	69	g	g	NOUN
m-815	101	70	yx	yx	NOUN
m-815	101	71	r	r	NOUN
m-815	101	72	yyt	yyt	NOUN
m-815	101	73	(	(	PUNCT
m-815	101	74	13	13	NUM
m-815	101	75	)	)	PUNCT
m-815	101	76	cq	cq	NOUN
m-815	101	77	x	x	PUNCT
m-815	101	78	n	n	CCONJ
m-815	101	79	yyxxyt	yyxxyt	ADJ
m-815	101	80	p	p	NOUN
m-815	101	81	12	12	NUM
m-815	101	82	2	2	NUM
m-815	101	83	2	2	NUM
m-815	101	84	2	2	NUM
m-815	101	85	2	2	NUM
m-815	101	86	2	2	NUM
m-815	101	87	2	2	NUM
m-815	101	88	1	1	NUM
m-815	101	89	)	)	PUNCT
m-815	101	90	(	(	PUNCT
m-815	101	91	)	)	PUNCT
m-815	101	92	(	(	PUNCT
m-815	101	93			PROPN
m-815	101	94			PROPN
m-815	101	95			PROPN
m-815	101	96			ADJ
m-815	101	97			PROPN
m-815	101	98			PROPN
m-815	101	99			PROPN
m-815	101	100			ADJ
m-815	101	101			ADJ
m-815	101	102			ADJ
m-815	101	103			ADJ
m-815	101	104			PROPN
m-815	101	105			PROPN
m-815	101	106			ADJ
m-815	101	107			PROPN
m-815	101	108			PROPN
m-815	101	109			VERB
m-815	101	110			PROPN
m-815	101	111			PROPN
m-815	101	112			VERB
m-815	101	113			X
m-815	102	1			ADJ
m-815	102	2			PROPN
m-815	102	3			PUNCT
m-815	102	4	(	(	PUNCT
m-815	102	5	14	14	NUM
m-815	102	6	)	)	PUNCT
m-815	102	7	kcc	kcc	PROPN
m-815	102	8	y	y	PROPN
m-815	102	9	c	c	NOUN
m-815	102	10	xx	xx	PUNCT
m-815	103	1	c	c	NOUN
m-815	103	2	yt	yt	PROPN
m-815	103	3	c	c	PROPN
m-815	103	4	sc	sc	PROPN
m-815	103	5			PROPN
m-815	103	6			ADJ
m-815	103	7			ADJ
m-815	103	8			ADJ
m-815	103	9			ADJ
m-815	103	10			PROPN
m-815	103	11			PROPN
m-815	103	12			ADJ
m-815	103	13			PROPN
m-815	103	14			PROPN
m-815	103	15			VERB
m-815	103	16			PROPN
m-815	103	17			ADJ
m-815	103	18	2	2	NUM
m-815	103	19	1	1	NUM
m-815	103	20	2	2	NUM
m-815	103	21	)	)	PUNCT
m-815	103	22	(	(	PUNCT
m-815	103	23			NOUN
m-815	103	24			PUNCT
m-815	103	25	(	(	PUNCT
m-815	103	26	15	15	NUM
m-815	103	27	)	)	PUNCT
m-815	103	28	where	where	SCONJ
m-815	103	29	2	2	NUM
m-815	103	30	2	2	NUM
m-815	103	31	2	2	NUM
m-815	103	32	2	2	NUM
m-815	103	33	22	22	NUM
m-815	103	34	1	1	NUM
m-815	103	35	yx	yx	ADP
m-815	103	36			PROPN
m-815	103	37			PROPN
m-815	103	38			PROPN
m-815	103	39			PROPN
m-815	103	40			PROPN
m-815	103	41			X
m-815	104	1			NUM
m-815	104	2	introducing	introduce	VERB
m-815	104	3	the	the	DET
m-815	104	4	transformation	transformation	NOUN
m-815	104	5	)	)	PUNCT
m-815	104	6	(	(	PUNCT
m-815	104	7	xf	xf	PROPN
m-815	104	8	y	y	PROPN
m-815	104	9			VERB
m-815	104	10	the	the	DET
m-815	104	11	equations(13	equations(13	NOUN
m-815	104	12	-	-	PUNCT
m-815	104	13	15	15	NUM
m-815	104	14	)	)	PUNCT
m-815	104	15	reduce	reduce	VERB
m-815	104	16	to	to	ADP
m-815	104	17			NOUN
m-815	104	18			PUNCT
m-815	104	19			NUM
m-815	104	20			NOUN
m-815	104	21			NOUN
m-815	104	22			NOUN
m-815	104	23	221	221	NUM
m-815	104	24	3	3	NUM
m-815	104	25	4	4	NUM
m-815	104	26	2	2	NUM
m-815	104	27	22	22	NUM
m-815	104	28	)	)	PUNCT
m-815	104	29	(	(	PUNCT
m-815	104	30	)	)	PUNCT
m-815	104	31	)	)	PUNCT
m-815	104	32	(	(	PUNCT
m-815	104	33	(	(	PUNCT
m-815	104	34	)	)	PUNCT
m-815	104	35	)	)	PUNCT
m-815	104	36	,	,	PUNCT
m-815	104	37	(	(	PUNCT
m-815	104	38	)	)	PUNCT
m-815	104	39	,	,	PUNCT
m-815	104	40	(	(	PUNCT
m-815	104	41	)	)	PUNCT
m-815	104	42	(	(	PUNCT
m-815	104	43	(	(	PUNCT
m-815	104	44	ffd	ffd	PROPN
m-815	104	45	nc	nc	PROPN
m-815	104	46	r	r	PROPN
m-815	104	47	gf	gf	NOUN
m-815	104	48	f	f	PROPN
m-815	104	49	x	x	PROPN
m-815	104	50	f	f	PROPN
m-815	104	51	frf	frf	PROPN
m-815	104	52	t	t	PROPN
m-815	104	53			PROPN
m-815	104	54			PROPN
m-815	104	55			PROPN
m-815	104	56			PROPN
m-815	104	57			X
m-815	104	58	(	(	PUNCT
m-815	104	59	16	16	NUM
m-815	104	60	)	)	PUNCT
m-815	104	61	cqf	cqf	PROPN
m-815	105	1	xx	xx	NUM
m-815	105	2	f	f	PROPN
m-815	105	3	t	t	PROPN
m-815	106	1	p	p	NOUN
m-815	107	1	1	1	NUM
m-815	107	2	22	22	NUM
m-815	107	3	)	)	PUNCT
m-815	107	4	(	(	PUNCT
m-815	107	5	(	(	PUNCT
m-815	107	6			X
m-815	107	7			ADJ
m-815	107	8			ADJ
m-815	107	9			ADJ
m-815	107	10			ADJ
m-815	107	11			PROPN
m-815	107	12			PROPN
m-815	107	13			ADJ
m-815	107	14			PROPN
m-815	107	15			PROPN
m-815	107	16			PROPN
m-815	107	17			PROPN
m-815	107	18			PROPN
m-815	107	19			ADV
m-815	107	20			NUM
m-815	107	21			NOUN
m-815	107	22			NUM
m-815	107	23			NUM
m-815	107	24			PROPN
m-815	107	25	(	(	PUNCT
m-815	107	26	17	17	NUM
m-815	107	27	)	)	PUNCT
m-815	107	28	kccf	kccf	NOUN
m-815	107	29	c	c	NOUN
m-815	107	30	xx	xx	NUM
m-815	108	1	c	c	NOUN
m-815	108	2	f	f	PROPN
m-815	109	1	t	t	PROPN
m-815	109	2	c	c	PROPN
m-815	109	3	sc	sc	PROPN
m-815	109	4			ADJ
m-815	109	5			ADJ
m-815	109	6			ADJ
m-815	109	7			ADJ
m-815	109	8			ADJ
m-815	109	9			PROPN
m-815	109	10			PROPN
m-815	109	11			ADJ
m-815	109	12			PROPN
m-815	109	13			PROPN
m-815	109	14			PROPN
m-815	109	15			PROPN
m-815	109	16			PROPN
m-815	109	17	22	22	NUM
m-815	109	18	)	)	PUNCT
m-815	109	19	(	(	PUNCT
m-815	109	20	(	(	PUNCT
m-815	109	21			NUM
m-815	109	22			PRON
m-815	109	23			NUM
m-815	109	24			NOUN
m-815	109	25			PROPN
m-815	109	26	(	(	PUNCT
m-815	109	27	18	18	NUM
m-815	109	28	)	)	PUNCT
m-815	109	29	where	where	SCONJ
m-815	109	30	2	2	NUM
m-815	109	31	2	2	NUM
m-815	109	32	2	2	NUM
m-815	109	33	2	2	NUM
m-815	109	34	22	22	NUM
m-815	109	35			NUM
m-815	109	36			NUM
m-815	109	37			ADJ
m-815	109	38			PROPN
m-815	109	39			PUNCT
m-815	109	40			ADJ
m-815	109	41			PROPN
m-815	110	1			NUM
m-815	110	2	x	x	SYM
m-815	110	3	f	f	X
m-815	110	4	we	we	PRON
m-815	110	5	adopt	adopt	VERB
m-815	110	6	the	the	DET
m-815	110	7	perturbation	perturbation	NOUN
m-815	110	8	scheme	scheme	NOUN
m-815	110	9	and	and	CCONJ
m-815	110	10	write	write	VERB
m-815	110	11	.	.	PUNCT
m-815	110	12	..............	..............	PUNCT
m-815	110	13	)	)	PUNCT
m-815	110	14	)	)	PUNCT
m-815	110	15	,	,	PUNCT
m-815	110	16	,	,	PUNCT
m-815	110	17	(	(	PUNCT
m-815	110	18	.	.	PUNCT
m-815	110	19	)	)	PUNCT
m-815	110	20	,	,	PUNCT
m-815	110	21	,	,	PUNCT
m-815	110	22	(	(	PUNCT
m-815	110	23	(	(	PUNCT
m-815	110	24	)	)	PUNCT
m-815	110	25	,	,	PUNCT
m-815	110	26	,	,	PUNCT
m-815	110	27	(	(	PUNCT
m-815	110	28	)	)	PUNCT
m-815	110	29	,	,	PUNCT
m-815	110	30	,	,	PUNCT
m-815	110	31	(	(	PUNCT
m-815	110	32	)	)	PUNCT
m-815	110	33	,	,	PUNCT
m-815	110	34	,	,	PUNCT
m-815	110	35	(	(	PUNCT
m-815	110	36	1100	1100	NUM
m-815	110	37			NOUN
m-815	110	38	txketxtxketxtx	txketxtxketxtx	PROPN
m-815	110	39	itit	itit	PROPN
m-815	110	40			PROPN
m-815	110	41	.	.	PUNCT
m-815	110	42	..............	..............	PUNCT
m-815	110	43	)	)	PUNCT
m-815	110	44	)	)	PUNCT
m-815	110	45	,	,	PUNCT
m-815	110	46	,	,	PUNCT
m-815	110	47	(	(	PUNCT
m-815	110	48	.	.	PUNCT
m-815	110	49	)	)	PUNCT
m-815	110	50	,	,	PUNCT
m-815	110	51	,	,	PUNCT
m-815	110	52	(	(	PUNCT
m-815	110	53	(	(	PUNCT
m-815	110	54	)	)	PUNCT
m-815	110	55	,	,	PUNCT
m-815	110	56	,	,	PUNCT
m-815	110	57	(	(	PUNCT
m-815	110	58	)	)	PUNCT
m-815	110	59	,	,	PUNCT
m-815	110	60	,	,	PUNCT
m-815	110	61	(	(	PUNCT
m-815	110	62	)	)	PUNCT
m-815	110	63	,	,	PUNCT
m-815	110	64	,	,	PUNCT
m-815	110	65	(	(	PUNCT
m-815	110	66	1100	1100	NUM
m-815	110	67			NOUN
m-815	110	68	txketxtxketxtx	txketxtxketxtx	NOUN
m-815	110	69	itit	itit	PROPN
m-815	110	70			NOUN
m-815	110	71	.	.	PUNCT
m-815	110	72	..............	..............	PUNCT
m-815	110	73	)	)	PUNCT
m-815	110	74	)	)	PUNCT
m-815	110	75	,	,	PUNCT
m-815	110	76	,	,	PUNCT
m-815	110	77	(	(	PUNCT
m-815	110	78	.	.	PUNCT
m-815	110	79	)	)	PUNCT
m-815	110	80	,	,	PUNCT
m-815	110	81	,	,	PUNCT
m-815	110	82	(	(	PUNCT
m-815	110	83	(	(	PUNCT
m-815	110	84	)	)	PUNCT
m-815	110	85	,	,	PUNCT
m-815	110	86	,	,	PUNCT
m-815	110	87	(	(	PUNCT
m-815	110	88	)	)	PUNCT
m-815	110	89	,	,	PUNCT
m-815	110	90	,	,	PUNCT
m-815	110	91	(	(	PUNCT
m-815	110	92	)	)	PUNCT
m-815	110	93	,	,	PUNCT
m-815	110	94	,	,	PUNCT
m-815	110	95	(	(	PUNCT
m-815	110	96	1100	1100	NUM
m-815	110	97			NOUN
m-815	110	98	txcketxctxcketxctxc	txcketxctxcketxctxc	PROPN
m-815	110	99	itit	itit	PROPN
m-815	110	100			PROPN
m-815	110	101	(	(	PUNCT
m-815	110	102	19	19	NUM
m-815	110	103	)	)	PUNCT
m-815	110	104	on	on	ADP
m-815	110	105	substituting	substitute	VERB
m-815	110	106	(	(	PUNCT
m-815	110	107	19	19	NUM
m-815	110	108	)	)	PUNCT
m-815	110	109	in	in	ADP
m-815	110	110	(	(	PUNCT
m-815	110	111	16	16	NUM
m-815	110	112	)	)	PUNCT
m-815	110	113	(	(	PUNCT
m-815	110	114	18	18	NUM
m-815	110	115	)	)	PUNCT
m-815	110	116	and	and	CCONJ
m-815	110	117	separating	separate	VERB
m-815	110	118	the	the	DET
m-815	110	119	like	like	ADJ
m-815	110	120	powers	power	NOUN
m-815	110	121	of	of	ADP
m-815	110	122			NUM
m-815	110	123	the	the	DET
m-815	110	124	equations	equation	NOUN
m-815	110	125	and	and	CCONJ
m-815	110	126	respective	respective	ADJ
m-815	110	127	conditions	condition	NOUN
m-815	110	128	to	to	ADP
m-815	110	129	the	the	DET
m-815	110	130	zeroth	zeroth	ADJ
m-815	110	131	order	order	NOUN
m-815	110	132	are	be	AUX
m-815	110	133	)	)	PUNCT
m-815	110	134	(	(	PUNCT
m-815	110	135	)	)	PUNCT
m-815	110	136	(	(	PUNCT
m-815	110	137	)	)	PUNCT
m-815	110	138	(	(	PUNCT
m-815	110	139	,	,	PUNCT
m-815	110	140	0,0	0,0	NUM
m-815	110	141	3	3	NUM
m-815	110	142	,	,	PUNCT
m-815	110	143	0	0	NUM
m-815	110	144	22	22	NUM
m-815	110	145	1,0	1,0	NUM
m-815	110	146			ADP
m-815	110	147			PROPN
m-815	110	148	nc	nc	PROPN
m-815	110	149	r	r	NOUN
m-815	110	150	gf	gf	PROPN
m-815	110	151	fm	fm	PROPN
m-815	110	152	y	y	PROPN
m-815	110	153			PROPN
m-815	110	154	(	(	PUNCT
m-815	110	155	20	20	NUM
m-815	110	156	)	)	PUNCT
m-815	110	157	010	010	NUM
m-815	110	158	2	2	NUM
m-815	110	159	,	,	PUNCT
m-815	110	160	)	)	PUNCT
m-815	110	161	(	(	PUNCT
m-815	110	162	cqfo	cqfo	VERB
m-815	110	163			PROPN
m-815	110	164			NOUN
m-815	110	165			NOUN
m-815	110	166	(	(	PUNCT
m-815	110	167	21	21	NUM
m-815	110	168	)	)	PUNCT
m-815	110	169	ijo	ijo	PROPN
m-815	110	170	journals	journal	NOUN
m-815	110	171	volume	volume	NOUN
m-815	110	172	07	07	NUM
m-815	110	173	|	|	NOUN
m-815	110	174	issue	issue	NOUN
m-815	110	175	03	03	NUM
m-815	111	1	|	|	ADV
m-815	111	2	march	march	PROPN
m-815	111	3	2024	2024	NUM
m-815	112	1	|	|	ADV
m-815	112	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	112	3	5	5	NUM
m-815	112	4	ijo	ijo	PROPN
m-815	112	5	international	international	ADJ
m-815	112	6	journal	journal	PROPN
m-815	112	7	of	of	ADP
m-815	112	8	mathematics	mathematics	PROPN
m-815	112	9	(	(	PUNCT
m-815	112	10	issn	issn	PROPN
m-815	112	11	:	:	PUNCT
m-815	112	12	2992	2992	NUM
m-815	112	13	-	-	SYM
m-815	112	14	4421	4421	NUM
m-815	112	15	)	)	PUNCT
m-815	112	16	venuprasad	venuprasad	PROPN
m-815	112	17	k.	k.	X
m-815	113	1	k.1	k.1	PROPN
m-815	114	1	*	*	PUNCT
m-815	114	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	114	3	volume	volume	NOUN
m-815	114	4	07	07	NUM
m-815	114	5	issue	issue	NOUN
m-815	114	6	03	03	NUM
m-815	114	7	||	||	NUM
m-815	114	8	march	march	NOUN
m-815	114	9	,	,	PUNCT
m-815	114	10	2024	2024	NUM
m-815	114	11	||	||	NOUN
m-815	114	12	mathematical	mathematical	ADJ
m-815	114	13	study	study	NOUN
m-815	114	14	of	of	ADP
m-815	114	15	mhd	mhd	PROPN
m-815	114	16	convective	convective	ADJ
m-815	114	17	flow	flow	NOUN
m-815	114	18	with	with	ADP
m-815	114	19	chemical	chemical	ADJ
m-815	114	20	reaction	reaction	NOUN
m-815	114	21	through	through	ADP
m-815	114	22	a	a	DET
m-815	114	23	porous	porous	ADJ
m-815	114	24	medium	medium	NOUN
m-815	114	25	in	in	ADP
m-815	114	26	a	a	DET
m-815	114	27	vertical	vertical	ADJ
m-815	114	28	wavy	wavy	ADJ
m-815	114	29	channel	channel	NOUN
m-815	114	30	0	0	NUM
m-815	114	31	)	)	PUNCT
m-815	114	32	(	(	PUNCT
m-815	114	33	0	0	NUM
m-815	114	34	2	2	NUM
m-815	114	35	,	,	PUNCT
m-815	114	36			PROPN
m-815	114	37	ckscfco	ckscfco	PROPN
m-815	114	38			NOUN
m-815	114	39	(	(	PUNCT
m-815	114	40	22	22	NUM
m-815	114	41	)	)	PUNCT
m-815	114	42	with	with	ADP
m-815	114	43			NOUN
m-815	114	44	0(+1)-0(-1	0(+1)-0(-1	NUM
m-815	114	45	)	)	PUNCT
m-815	114	46	=	=	SYM
m-815	114	47	1	1	NUM
m-815	114	48	,	,	PUNCT
m-815	114	49			NOUN
m-815	114	50	0	0	NUM
m-815	114	51	,	,	PUNCT
m-815	114	52			PROPN
m-815	114	53	=	=	SYM
m-815	114	54	0	0	NUM
m-815	114	55	,	,	PUNCT
m-815	114	56			NOUN
m-815	114	57	0	0	PUNCT
m-815	114	58	,	,	PUNCT
m-815	114	59	x	x	PUNCT
m-815	115	1	=	=	SYM
m-815	115	2	0	0	NUM
m-815	115	3	at	at	ADP
m-815	115	4			PROPN
m-815	115	5	=	=	SYM
m-815	115	6	1	1	PROPN
m-815	115	7	(	(	PUNCT
m-815	115	8	23	23	NUM
m-815	115	9	)	)	PUNCT
m-815	115	10	10,0	10,0	NOUN
m-815	115	11	11,1	11,1	NUM
m-815	115	12	0	0	NUM
m-815	115	13	0	0	NUM
m-815	115	14			VERB
m-815	115	15			X
m-815	115	16			NOUN
m-815	115	17			NOUN
m-815	115	18	onc	onc	NOUN
m-815	115	19	onc	onc	ADJ
m-815	115	20	o	o	NOUN
m-815	115	21	o	o	X
m-815	115	22	(	(	PUNCT
m-815	115	23	24	24	NUM
m-815	115	24	)	)	PUNCT
m-815	115	25	010	010	NUM
m-815	115	26	22	22	NUM
m-815	115	27	,	,	PUNCT
m-815	115	28	0	0	NUM
m-815	115	29	)	)	PUNCT
m-815	115	30	(	(	PUNCT
m-815	115	31	cqfip	cqfip	PROPN
m-815	115	32			PROPN
m-815	115	33			NOUN
m-815	115	34			ADV
m-815	115	35	(	(	PUNCT
m-815	115	36	25	25	NUM
m-815	115	37	)	)	PUNCT
m-815	115	38	0	0	NUM
m-815	115	39	)	)	PUNCT
m-815	115	40	(	(	PUNCT
m-815	115	41	22	22	NUM
m-815	115	42	,	,	PUNCT
m-815	115	43	0	0	NUM
m-815	115	44			NOUN
m-815	115	45	ocfkscc	ocfkscc	NOUN
m-815	115	46			NUM
m-815	115	47	(	(	PUNCT
m-815	115	48	26	26	NUM
m-815	115	49	)	)	PUNCT
m-815	115	50	)	)	PUNCT
m-815	115	51	)	)	PUNCT
m-815	115	52	(	(	PUNCT
m-815	115	53	(	(	PUNCT
m-815	115	54	)	)	PUNCT
m-815	115	55	)	)	PUNCT
m-815	115	56	(	(	PUNCT
m-815	115	57	(	(	PUNCT
m-815	115	58	.0,0	.0,0	NOUN
m-815	115	59	3	3	NUM
m-815	115	60	,	,	PUNCT
m-815	115	61	0	0	NUM
m-815	115	62	222	222	NUM
m-815	115	63	1,0	1,0	NUM
m-815	115	64			ADP
m-815	115	65			ADV
m-815	115	66	cn	cn	X
m-815	115	67	r	r	NOUN
m-815	115	68	gf	gf	PROPN
m-815	115	69	fim	fim	PROPN
m-815	115	70			PROPN
m-815	115	71	(	(	PUNCT
m-815	115	72	27	27	NUM
m-815	115	73	)	)	PUNCT
m-815	115	74	0)1(0)1	0)1(0)1	NOUN
m-815	115	75	(	(	PUNCT
m-815	115	76			NUM
m-815	115	77	oo	oo	INTJ
m-815	115	78	c	c	NOUN
m-815	115	79	0)1(,0)1(1)1()1	0)1(,0)1(1)1()1	NOUN
m-815	115	80	(	(	PUNCT
m-815	115	81	,	,	PUNCT
m-815	115	82	,	,	PUNCT
m-815	115	83			X
m-815	115	84	xoooo	xoooo	X
m-815	115	85			PROPN
m-815	115	86			NUM
m-815	115	87	(	(	PUNCT
m-815	115	88	28	28	NUM
m-815	115	89	)	)	PUNCT
m-815	115	90	the	the	DET
m-815	115	91	first	first	ADJ
m-815	115	92	order	order	NOUN
m-815	115	93	equations	equation	NOUN
m-815	115	94	are	be	AUX
m-815	115	95	)	)	PUNCT
m-815	115	96	)	)	PUNCT
m-815	115	97	(	(	PUNCT
m-815	115	98	(	(	PUNCT
m-815	115	99	)	)	PUNCT
m-815	115	100	)	)	PUNCT
m-815	115	101	(	(	PUNCT
m-815	115	102	(	(	PUNCT
m-815	115	103	)	)	PUNCT
m-815	115	104	(	(	PUNCT
m-815	115	105	,	,	PUNCT
m-815	115	106	0,0,0,0,1,1	0,0,0,0,1,1	NUM
m-815	115	107	3	3	NUM
m-815	115	108	,	,	PUNCT
m-815	115	109	1	1	NUM
m-815	115	110	22	22	NUM
m-815	115	111	1,1	1,1	NUM
m-815	115	112			PUNCT
m-815	115	113			ADJ
m-815	115	114	xxrfcn	xxrfcn	NOUN
m-815	115	115	r	r	NOUN
m-815	115	116	gf	gf	NOUN
m-815	115	117	fm	fm	PROPN
m-815	115	118			PROPN
m-815	115	119	(	(	PUNCT
m-815	115	120	29	29	NUM
m-815	115	121	)	)	PUNCT
m-815	115	122	11,0,,01	11,0,,01	NUM
m-815	115	123	2	2	NUM
m-815	115	124	)	)	PUNCT
m-815	115	125	(	(	PUNCT
m-815	115	126	)	)	PUNCT
m-815	115	127	(	(	PUNCT
m-815	115	128	)	)	PUNCT
m-815	115	129	(	(	PUNCT
m-815	115	130	,	,	PUNCT
m-815	115	131	1	1	NUM
m-815	115	132	cqprff	cqprff	NOUN
m-815	115	133	oxox	oxox	ADJ
m-815	115	134			PROPN
m-815	115	135			PROPN
m-815	115	136			INTJ
m-815	115	137	(	(	PUNCT
m-815	115	138	30	30	NUM
m-815	115	139	)	)	PUNCT
m-815	115	140	)	)	PUNCT
m-815	115	141	(	(	PUNCT
m-815	115	142	)	)	PUNCT
m-815	115	143	(	(	PUNCT
m-815	115	144	)	)	PUNCT
m-815	115	145	(	(	PUNCT
m-815	115	146	,	,	PUNCT
m-815	115	147	0,,01	0,,01	NUM
m-815	115	148	2	2	NUM
m-815	115	149	,	,	PUNCT
m-815	115	150	1	1	NUM
m-815	115	151	oxox	oxox	ADJ
m-815	115	152	ccscfckscfc	ccscfckscfc	NOUN
m-815	115	153	y	y	PROPN
m-815	115	154			NOUN
m-815	115	155			NOUN
m-815	115	156			PROPN
m-815	115	157			PROPN
m-815	115	158	(	(	PUNCT
m-815	115	159	31	31	NUM
m-815	115	160	)	)	PUNCT
m-815	115	161	)	)	PUNCT
m-815	115	162	)	)	PUNCT
m-815	115	163	(	(	PUNCT
m-815	115	164	(	(	PUNCT
m-815	115	165	)	)	PUNCT
m-815	115	166	)	)	PUNCT
m-815	115	167	(	(	PUNCT
m-815	115	168	(	(	PUNCT
m-815	115	169	)	)	PUNCT
m-815	115	170	)	)	PUNCT
m-815	115	171	(	(	PUNCT
m-815	115	172	(	(	PUNCT
m-815	115	173	,	,	PUNCT
m-815	115	174	0,0,0,0,0,0	0,0,0,0,0,0	NOUN
m-815	115	175	,	,	PUNCT
m-815	115	176	0,0,1,1	0,0,1,1	NUM
m-815	115	177	3	3	NUM
m-815	115	178	,	,	PUNCT
m-815	115	179	1	1	NUM
m-815	115	180	222	222	NUM
m-815	115	181	1,1	1,1	NUM
m-815	115	182			NUM
m-815	115	183			NOUN
m-815	116	1			PROPN
m-815	117	1			INTJ
m-815	117	2	xxx	xxx	INTJ
m-815	118	1	xrfcn	xrfcn	NOUN
m-815	118	2	r	r	NOUN
m-815	118	3	gf	gf	NOUN
m-815	118	4	fim	fim	VERB
m-815	118	5			PROPN
m-815	118	6			X
m-815	118	7	(	(	PUNCT
m-815	118	8	32	32	NUM
m-815	118	9	)	)	PUNCT
m-815	118	10	11,0,,0	11,0,,0	NUM
m-815	118	11	,	,	PUNCT
m-815	118	12	0,,01	0,,01	NUM
m-815	118	13	22	22	NUM
m-815	118	14	)	)	PUNCT
m-815	118	15	(	(	PUNCT
m-815	118	16	)	)	PUNCT
m-815	118	17	(	(	PUNCT
m-815	118	18	)	)	PUNCT
m-815	118	19	)	)	PUNCT
m-815	118	20	(	(	PUNCT
m-815	118	21	(	(	PUNCT
m-815	118	22	,	,	PUNCT
m-815	118	23	1	1	NUM
m-815	118	24	cq	cq	NOUN
m-815	118	25	prffip	prffip	PROPN
m-815	118	26	oxox	oxox	PROPN
m-815	118	27	oxxo	oxxo	PROPN
m-815	118	28			NOUN
m-815	118	29			VERB
m-815	118	30			NOUN
m-815	118	31			NOUN
m-815	118	32			PROPN
m-815	118	33			PROPN
m-815	118	34			NOUN
m-815	118	35	(	(	PUNCT
m-815	118	36	33	33	NUM
m-815	118	37	)	)	PUNCT
m-815	118	38	)	)	PUNCT
m-815	118	39	(	(	PUNCT
m-815	118	40	)	)	PUNCT
m-815	118	41	(	(	PUNCT
m-815	118	42	)	)	PUNCT
m-815	118	43	)	)	PUNCT
m-815	118	44	(	(	PUNCT
m-815	118	45	(	(	PUNCT
m-815	118	46	,	,	PUNCT
m-815	118	47	0,,0	0,,0	NUM
m-815	118	48	,	,	PUNCT
m-815	118	49	0,,01	0,,01	NUM
m-815	118	50	22	22	NUM
m-815	118	51	,	,	PUNCT
m-815	118	52	1	1	NUM
m-815	118	53			NOUN
m-815	118	54			NOUN
m-815	118	55			NOUN
m-815	118	56			NOUN
m-815	118	57			NOUN
m-815	118	58	oxox	oxox	ADJ
m-815	118	59	oxxo	oxxo	NUM
m-815	118	60	cc	cc	NOUN
m-815	118	61	ccscfcscfikc	ccscfcscfikc	NOUN
m-815	118	62			PROPN
m-815	118	63			ADV
m-815	118	64	(	(	PUNCT
m-815	118	65	34	34	NUM
m-815	118	66	)	)	PUNCT
m-815	118	67	with	with	ADP
m-815	118	68			NOUN
m-815	118	69	1(+1	1(+1	NUM
m-815	118	70	)	)	PUNCT
m-815	118	71			NOUN
m-815	118	72	1(-1	1(-1	NUM
m-815	118	73	)	)	PUNCT
m-815	119	1	=	=	SYM
m-815	119	2	0	0	PUNCT
m-815	120	1			NOUN
m-815	120	2	1,	1,	PROPN
m-815	120	3	=	=	NOUN
m-815	120	4	0	0	PROPN
m-815	120	5	,	,	PUNCT
m-815	120	6			NOUN
m-815	120	7	1	1	NUM
m-815	120	8	,	,	PUNCT
m-815	120	9	x	x	PUNCT
m-815	120	10	=	=	SYM
m-815	120	11	0	0	NUM
m-815	120	12	at	at	ADP
m-815	120	13			NUM
m-815	120	14	=	=	SYM
m-815	120	15	1	1	PROPN
m-815	120	16	(	(	PUNCT
m-815	120	17	35	35	NUM
m-815	120	18	)	)	PUNCT
m-815	120	19	1(1	1(1	PROPN
m-815	120	20	)	)	PUNCT
m-815	120	21	=	=	SYM
m-815	120	22	0	0	NUM
m-815	120	23	c1(1	c1(1	NOUN
m-815	120	24	)	)	PUNCT
m-815	120	25	=	=	SYM
m-815	120	26	0	0	NUM
m-815	120	27	0)1(0)1	0)1(0)1	NOUN
m-815	120	28	(	(	PUNCT
m-815	120	29	11	11	NUM
m-815	120	30			NUM
m-815	120	31	c	c	NOUN
m-815	120	32	0)1(,0)1(1)1()1	0)1(,0)1(1)1()1	NUM
m-815	120	33	(	(	PUNCT
m-815	120	34	,	,	PUNCT
m-815	120	35	1,111	1,111	NUM
m-815	120	36			NOUN
m-815	120	37	x	x	PROPN
m-815	120	38			NUM
m-815	120	39	(	(	PUNCT
m-815	120	40	36	36	NUM
m-815	120	41	)	)	PUNCT
m-815	120	42	ijo	ijo	PROPN
m-815	120	43	journals	journal	NOUN
m-815	120	44	volume	volume	NOUN
m-815	120	45	07	07	NUM
m-815	120	46	|	|	NOUN
m-815	120	47	issue	issue	NOUN
m-815	120	48	03	03	NUM
m-815	121	1	|	|	ADV
m-815	121	2	march	march	PROPN
m-815	121	3	2024	2024	NUM
m-815	122	1	|	|	ADV
m-815	122	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	122	3	6	6	NUM
m-815	122	4	ijo	ijo	PROPN
m-815	122	5	international	international	ADJ
m-815	122	6	journal	journal	PROPN
m-815	122	7	of	of	ADP
m-815	122	8	mathematics	mathematics	PROPN
m-815	122	9	(	(	PUNCT
m-815	122	10	issn	issn	PROPN
m-815	122	11	:	:	PUNCT
m-815	122	12	2992	2992	NUM
m-815	122	13	-	-	SYM
m-815	122	14	4421	4421	NUM
m-815	122	15	)	)	PUNCT
m-815	122	16	venuprasad	venuprasad	PROPN
m-815	122	17	k.	k.	X
m-815	123	1	k.1	k.1	PROPN
m-815	124	1	*	*	PUNCT
m-815	124	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	124	3	volume	volume	NOUN
m-815	124	4	07	07	NUM
m-815	124	5	issue	issue	NOUN
m-815	124	6	03	03	NUM
m-815	124	7	||	||	NUM
m-815	124	8	march	march	NOUN
m-815	124	9	,	,	PUNCT
m-815	124	10	2024	2024	NUM
m-815	124	11	||	||	NOUN
m-815	124	12	mathematical	mathematical	ADJ
m-815	124	13	study	study	NOUN
m-815	124	14	of	of	ADP
m-815	124	15	mhd	mhd	PROPN
m-815	124	16	convective	convective	ADJ
m-815	124	17	flow	flow	NOUN
m-815	124	18	with	with	ADP
m-815	124	19	chemical	chemical	ADJ
m-815	124	20	reaction	reaction	NOUN
m-815	124	21	through	through	ADP
m-815	124	22	a	a	DET
m-815	124	23	porous	porous	ADJ
m-815	124	24	medium	medium	NOUN
m-815	124	25	in	in	ADP
m-815	124	26	a	a	DET
m-815	124	27	vertical	vertical	ADJ
m-815	124	28	wavy	wavy	ADJ
m-815	124	29	channel	channel	NOUN
m-815	124	30	the	the	DET
m-815	124	31	equations	equation	NOUN
m-815	124	32	(	(	PUNCT
m-815	124	33	20)(22	20)(22	NUM
m-815	124	34	)	)	PUNCT
m-815	124	35	,	,	PUNCT
m-815	124	36	(	(	PUNCT
m-815	124	37	25)-(27)&(29)-(34	25)-(27)&(29)-(34	NOUN
m-815	124	38	)	)	PUNCT
m-815	124	39	are	be	AUX
m-815	124	40	solved	solve	VERB
m-815	124	41	analytically	analytically	ADV
m-815	124	42	subject	subject	ADJ
m-815	124	43	to	to	ADP
m-815	124	44	the	the	DET
m-815	124	45	relevant	relevant	ADJ
m-815	124	46	boundary	boundary	ADJ
m-815	124	47	conditions	condition	NOUN
m-815	124	48	.	.	PUNCT
m-815	125	1	for	for	ADP
m-815	125	2	sake	sake	NOUN
m-815	125	3	brevity	brevity	NOUN
m-815	125	4	we	we	PRON
m-815	125	5	are	be	AUX
m-815	125	6	not	not	PART
m-815	125	7	presenting	present	VERB
m-815	125	8	the	the	DET
m-815	125	9	solutions	solution	NOUN
m-815	125	10	.	.	PUNCT
m-815	126	1	4.nusselt	4.nusselt	NUM
m-815	126	2	number	number	NOUN
m-815	126	3	and	and	CCONJ
m-815	126	4	sherwood	sherwood	PROPN
m-815	126	5	number	number	NOUN
m-815	126	6	)	)	PUNCT
m-815	126	7	(	(	PUNCT
m-815	126	8	)	)	PUNCT
m-815	126	9	(	(	PUNCT
m-815	126	10	2	2	NUM
m-815	126	11	8761	8761	NUM
m-815	126	12			NOUN
m-815	126	13	odecddy	odecddy	NOUN
m-815	126	14			PROPN
m-815	126	15	the	the	DET
m-815	126	16	local	local	ADJ
m-815	126	17	rate	rate	NOUN
m-815	126	18	of	of	ADP
m-815	126	19	heat	heat	NOUN
m-815	126	20	transfer	transfer	NOUN
m-815	126	21	coefficient	coefficient	NOUN
m-815	126	22	nusselt	nusselt	NOUN
m-815	126	23	number	number	NOUN
m-815	126	24	(	(	PUNCT
m-815	126	25	nu	nu	NOUN
m-815	126	26	)	)	PUNCT
m-815	126	27	on	on	ADP
m-815	126	28	the	the	DET
m-815	126	29	walls	wall	NOUN
m-815	126	30	has	have	AUX
m-815	126	31	been	be	AUX
m-815	126	32	calculated	calculate	VERB
m-815	126	33	using	use	VERB
m-815	126	34	the	the	DET
m-815	126	35	formula	formula	NOUN
m-815	126	36	1	1	NUM
m-815	126	37	)	)	PUNCT
m-815	126	38	(	(	PUNCT
m-815	126	39	1	1	NUM
m-815	126	40			PROPN
m-815	126	41			ADJ
m-815	126	42			ADJ
m-815	126	43			NOUN
m-815	126	44			PRON
m-815	126	45			NUM
m-815	126	46			X
m-815	126	47			PROPN
m-815	127	1	y	y	PROPN
m-815	127	2	nu	nu	INTJ
m-815	127	3	wm	wm	PROPN
m-815	127	4	where	where	SCONJ
m-815	127	5			PUNCT
m-815	127	6			NOUN
m-815	127	7			NOUN
m-815	127	8	1	1	NUM
m-815	127	9	1	1	NUM
m-815	127	10	5.0	5.0	NUM
m-815	127	11			NOUN
m-815	127	12	dm	dm	NOUN
m-815	127	13	and	and	CCONJ
m-815	127	14	the	the	DET
m-815	127	15	corresponding	corresponding	ADJ
m-815	127	16	expressions	expression	NOUN
m-815	127	17	are	be	AUX
m-815	127	18	)	)	PUNCT
m-815	127	19	1	1	NUM
m-815	127	20	(	(	PUNCT
m-815	127	21	)	)	PUNCT
m-815	127	22	(	(	PUNCT
m-815	127	23	)	)	PUNCT
m-815	127	24	(	(	PUNCT
m-815	127	25	)	)	PUNCT
m-815	127	26	)	)	PUNCT
m-815	127	27	(	(	PUNCT
m-815	127	28	(	(	PUNCT
m-815	127	29	)	)	PUNCT
m-815	127	30	(	(	PUNCT
m-815	127	31	)	)	PUNCT
m-815	127	32	(	(	PUNCT
m-815	127	33	108	108	NUM
m-815	127	34	1	1	NUM
m-815	127	35	119	119	NUM
m-815	127	36	1	1	NUM
m-815	127	37			NOUN
m-815	127	38			VERB
m-815	127	39			PROPN
m-815	127	40			PROPN
m-815	127	41			PUNCT
m-815	128	1			ADJ
m-815	128	2			VERB
m-815	128	3	mm	mm	INTJ
m-815	128	4	dd	dd	INTJ
m-815	128	5	un	un	PROPN
m-815	128	6	txsin	txsin	PROPN
m-815	128	7	dd	dd	PROPN
m-815	128	8	un	un	PROPN
m-815	128	9			PROPN
m-815	128	10			PROPN
m-815	128	11			ADJ
m-815	128	12			NUM
m-815	128	13			NOUN
m-815	128	14	,	,	PUNCT
m-815	128	15	where	where	SCONJ
m-815	128	16	1514	1514	NUM
m-815	128	17	ddm	ddm	NOUN
m-815	128	18			NOUN
m-815	128	19			VERB
m-815	128	20	the	the	DET
m-815	128	21	local	local	ADJ
m-815	128	22	rate	rate	NOUN
m-815	128	23	of	of	ADP
m-815	128	24	mass	mass	ADJ
m-815	128	25	transfer	transfer	NOUN
m-815	128	26	coefficient	coefficient	NOUN
m-815	128	27	sherwood	sherwood	PROPN
m-815	128	28	number	number	NOUN
m-815	128	29	(	(	PUNCT
m-815	128	30	sh	sh	PROPN
m-815	128	31	)	)	PUNCT
m-815	128	32	on	on	ADP
m-815	128	33	the	the	DET
m-815	128	34	walls	wall	NOUN
m-815	128	35	has	have	AUX
m-815	128	36	been	be	AUX
m-815	128	37	calculated	calculate	VERB
m-815	128	38	using	use	VERB
m-815	128	39	the	the	DET
m-815	128	40	formula	formula	NOUN
m-815	128	41	1	1	NUM
m-815	128	42	)	)	PUNCT
m-815	128	43	(	(	PUNCT
m-815	128	44	1	1	NUM
m-815	128	45			PROPN
m-815	128	46			ADJ
m-815	128	47			ADJ
m-815	128	48			VERB
m-815	128	49			NOUN
m-815	128	50	y	y	PROPN
m-815	128	51	wm	wm	PROPN
m-815	129	1	y	y	PROPN
m-815	129	2	c	c	PROPN
m-815	129	3	cc	cc	NOUN
m-815	129	4	sh	sh	INTJ
m-815	129	5	where	where	SCONJ
m-815	129	6			PUNCT
m-815	129	7			VERB
m-815	129	8			NOUN
m-815	129	9	1	1	NUM
m-815	129	10	1	1	NUM
m-815	129	11	5.0	5.0	NUM
m-815	129	12	dyccm	dyccm	NOUN
m-815	129	13	and	and	CCONJ
m-815	129	14	the	the	DET
m-815	129	15	corresponding	corresponding	ADJ
m-815	129	16	expressions	expression	NOUN
m-815	129	17	are	be	AUX
m-815	129	18	)	)	PUNCT
m-815	129	19	1	1	NUM
m-815	129	20	(	(	PUNCT
m-815	129	21	)	)	PUNCT
m-815	129	22	(	(	PUNCT
m-815	129	23	)	)	PUNCT
m-815	129	24	(	(	PUNCT
m-815	129	25	)	)	PUNCT
m-815	129	26	(	(	PUNCT
m-815	129	27	)	)	PUNCT
m-815	129	28	(	(	PUNCT
m-815	129	29	)	)	PUNCT
m-815	129	30	(	(	PUNCT
m-815	129	31	75	75	NUM
m-815	129	32	1	1	NUM
m-815	129	33	64	64	NUM
m-815	129	34	1	1	NUM
m-815	129	35			NOUN
m-815	129	36			VERB
m-815	129	37			NUM
m-815	129	38			SCONJ
m-815	129	39			ADJ
m-815	129	40			VERB
m-815	129	41	mm	mm	INTJ
m-815	129	42	c	c	INTJ
m-815	129	43	dd	dd	VERB
m-815	130	1	sh	sh	INTJ
m-815	130	2	c	c	NOUN
m-815	130	3	dd	dd	VERB
m-815	131	1	sh	sh	PROPN
m-815	131	2			NOUN
m-815	131	3			NOUN
m-815	131	4	5.results	5.results	NUM
m-815	131	5	and	and	CCONJ
m-815	131	6	discussion	discussion	NOUN
m-815	131	7	this	this	DET
m-815	131	8	investigation	investigation	NOUN
m-815	131	9	focuses	focus	VERB
m-815	131	10	on	on	ADP
m-815	131	11	the	the	DET
m-815	131	12	impact	impact	NOUN
m-815	131	13	of	of	ADP
m-815	131	14	heat	heat	NOUN
m-815	131	15	generation	generation	NOUN
m-815	131	16	and	and	CCONJ
m-815	131	17	thermo	thermo	NOUN
m-815	131	18	-	-	PUNCT
m-815	131	19	diffusion	diffusion	NOUN
m-815	131	20	on	on	ADP
m-815	131	21	the	the	DET
m-815	131	22	unstable	unstable	ADJ
m-815	131	23	free	free	ADJ
m-815	131	24	convection	convection	NOUN
m-815	131	25	mhd	mhd	NOUN
m-815	131	26	gyrated	gyrate	VERB
m-815	131	27	flow	flow	NOUN
m-815	131	28	of	of	ADP
m-815	131	29	radiation	radiation	NOUN
m-815	131	30	and	and	CCONJ
m-815	131	31	chemical	chemical	NOUN
m-815	131	32	reactive	reactive	ADJ
m-815	131	33	second	second	ADJ
m-815	131	34	order	order	NOUN
m-815	131	35	fluid	fluid	NOUN
m-815	131	36	across	across	ADP
m-815	131	37	an	an	DET
m-815	131	38	unbounded	unbounded	ADJ
m-815	131	39	perpendicular	perpendicular	ADJ
m-815	131	40	plate	plate	NOUN
m-815	131	41	during	during	ADP
m-815	131	42	absorbent	absorbent	ADJ
m-815	131	43	medium	medium	NOUN
m-815	131	44	.	.	PUNCT
m-815	132	1	the	the	DET
m-815	132	2	analytical	analytical	ADJ
m-815	132	3	solutions	solution	NOUN
m-815	132	4	for	for	ADP
m-815	132	5	the	the	DET
m-815	132	6	governing	govern	VERB
m-815	132	7	equations	equation	NOUN
m-815	132	8	are	be	AUX
m-815	132	9	obtained	obtain	VERB
m-815	132	10	by	by	ADP
m-815	132	11	the	the	DET
m-815	132	12	application	application	NOUN
m-815	132	13	of	of	ADP
m-815	132	14	the	the	DET
m-815	132	15	laplace	laplace	NOUN
m-815	132	16	transformation	transformation	NOUN
m-815	132	17	procedure	procedure	NOUN
m-815	132	18	.	.	PUNCT
m-815	133	1	the	the	DET
m-815	133	2	profiles	profile	NOUN
m-815	133	3	of	of	ADP
m-815	133	4	concentration	concentration	NOUN
m-815	133	5	,	,	PUNCT
m-815	133	6	temperature	temperature	NOUN
m-815	133	7	,	,	PUNCT
m-815	133	8	and	and	CCONJ
m-815	133	9	velocity	velocity	NOUN
m-815	133	10	are	be	AUX
m-815	133	11	analyzed	analyze	VERB
m-815	133	12	graphically	graphically	ADV
m-815	133	13	.	.	PUNCT
m-815	134	1	for	for	ADP
m-815	134	2	quite	quite	DET
m-815	134	3	a	a	DET
m-815	134	4	few	few	ADJ
m-815	134	5	quantities	quantity	NOUN
m-815	134	6	of	of	ADP
m-815	134	7	the	the	DET
m-815	134	8	magnetic	magnetic	ADJ
m-815	134	9	field	field	NOUN
m-815	134	10	parameter	parameter	PROPN
m-815	134	11	m	m	PROPN
m-815	134	12	,	,	PUNCT
m-815	134	13	chemical	chemical	ADJ
m-815	134	14	reaction	reaction	NOUN
m-815	134	15	parameter	parameter	PROPN
m-815	134	16	kr	kr	PROPN
m-815	134	17	,	,	PUNCT
m-815	134	18	temperature	temperature	NOUN
m-815	134	19	generating	generating	NOUN
m-815	134	20	and/or	and/or	CCONJ
m-815	134	21	absorbing	absorb	VERB
m-815	134	22	parameters	parameter	NOUN
m-815	134	23	,	,	PUNCT
m-815	134	24	it	it	PRON
m-815	134	25	is	be	AUX
m-815	134	26	represented	represent	VERB
m-815	134	27	the	the	DET
m-815	134	28	second	second	ADJ
m-815	134	29	-	-	PUNCT
m-815	134	30	grade	grade	NOUN
m-815	134	31	fluid	fluid	ADJ
m-815	134	32	velocity	velocity	NOUN
m-815	134	33	,	,	PUNCT
m-815	134	34	and	and	CCONJ
m-815	134	35	concentration	concentration	NOUN
m-815	134	36	distributions	distribution	NOUN
m-815	134	37	.	.	PUNCT
m-815	135	1	magnetic	magnetic	ADJ
m-815	135	2	field	field	NOUN
m-815	135	3	parameter	parameter	PROPN
m-815	135	4	m	m	PROPN
m-815	135	5	,	,	PUNCT
m-815	135	6	chemical	chemical	ADJ
m-815	135	7	reaction	reaction	NOUN
m-815	135	8	parameter	parameter	PROPN
m-815	135	9	kr	kr	PROPN
m-815	135	10	,	,	PUNCT
m-815	135	11	.	.	PUNCT
m-815	136	1	we	we	PRON
m-815	136	2	fixed	fix	VERB
m-815	136	3	m	m	PROPN
m-815	136	4	=	=	NOUN
m-815	136	5	0.5	0.5	NUM
m-815	136	6	,	,	PUNCT
m-815	136	7	k	k	NOUN
m-815	136	8	=	=	SYM
m-815	136	9	0.5	0.5	NUM
m-815	136	10	,	,	PUNCT
m-815	136	11	pr	pr	NOUN
m-815	136	12	=	=	NOUN
m-815	136	13	0.71	0.71	NUM
m-815	136	14	,	,	PUNCT
m-815	136	15	r	r	NOUN
m-815	136	16	=	=	SYM
m-815	136	17	2	2	NUM
m-815	136	18	,	,	PUNCT
m-815	136	19	gr	gr	NOUN
m-815	136	20	=	=	SYM
m-815	136	21	10	10	NUM
m-815	136	22	,	,	PUNCT
m-815	136	23	gm	gm	PROPN
m-815	136	24	=	=	SYM
m-815	136	25	5	5	NUM
m-815	136	26	,	,	PUNCT
m-815	136	27	sr	sr	PROPN
m-815	136	28	=	=	NOUN
m-815	136	29	0.1	0.1	NUM
m-815	136	30	,	,	PUNCT
m-815	136	31	h	h	NOUN
m-815	136	32	=	=	SYM
m-815	136	33	2	2	NUM
m-815	136	34	,	,	PUNCT
m-815	136	35	=	=	NOUN
m-815	136	36	0.5	0.5	NUM
m-815	136	37	,	,	PUNCT
m-815	136	38	and	and	CCONJ
m-815	136	39	t	t	X
m-815	136	40	=	=	NUM
m-815	136	41	0.5	0.5	NUM
m-815	136	42	for	for	ADP
m-815	136	43	computational	computational	ADJ
m-815	136	44	purposes	purpose	NOUN
m-815	136	45	and	and	CCONJ
m-815	136	46	drew	draw	VERB
m-815	136	47	the	the	DET
m-815	136	48	profiles	profile	NOUN
m-815	136	49	with	with	ADP
m-815	136	50	each	each	DET
m-815	136	51	parameter	parameter	NOUN
m-815	136	52	adjusted	adjust	VERB
m-815	136	53	across	across	ADP
m-815	136	54	the	the	DET
m-815	136	55	range	range	NOUN
m-815	136	56	.	.	PUNCT
m-815	137	1	the	the	DET
m-815	137	2	concentration	concentration	NOUN
m-815	137	3	,	,	PUNCT
m-815	137	4	temperature	temperature	NOUN
m-815	137	5	,	,	PUNCT
m-815	137	6	and	and	CCONJ
m-815	137	7	velocity	velocity	NOUN
m-815	137	8	profiles	profile	NOUN
m-815	137	9	are	be	AUX
m-815	137	10	shown	show	VERB
m-815	137	11	in	in	ADP
m-815	137	12	figs	fig	NOUN
m-815	137	13	.	.	PUNCT
m-815	138	1	1	1	NUM
m-815	138	2	-	-	SYM
m-815	138	3	4	4	NUM
m-815	138	4	to	to	PART
m-815	138	5	be	be	AUX
m-815	138	6	less	less	ADJ
m-815	138	7	than	than	ADP
m-815	138	8	those	those	PRON
m-815	138	9	for	for	ADP
m-815	138	10	isothermal	isothermal	ADJ
m-815	138	11	temperature	temperature	NOUN
m-815	138	12	and	and	CCONJ
m-815	138	13	ramped	ramp	VERB
m-815	138	14	surface	surface	NOUN
m-815	138	15	concentration	concentration	NOUN
m-815	138	16	in	in	ADP
m-815	138	17	the	the	DET
m-815	138	18	case	case	NOUN
m-815	138	19	of	of	ADP
m-815	138	20	ramped	ramp	VERB
m-815	138	21	wall	wall	NOUN
m-815	138	22	temperature	temperature	NOUN
m-815	138	23	.	.	PUNCT
m-815	139	1	the	the	DET
m-815	139	2	magnetic	magnetic	ADJ
m-815	139	3	domain	domain	NOUN
m-815	139	4	parameter	parameter	NOUN
m-815	139	5	in	in	ADP
m-815	139	6	the	the	DET
m-815	139	7	liquid	liquid	ADJ
m-815	139	8	flow	flow	NOUN
m-815	139	9	generates	generate	VERB
m-815	139	10	an	an	DET
m-815	139	11	electrical	electrical	ADJ
m-815	139	12	field	field	NOUN
m-815	139	13	.	.	PUNCT
m-815	140	1	consequently	consequently	ADV
m-815	140	2	,	,	PUNCT
m-815	140	3	it	it	PRON
m-815	140	4	ijo	ijo	PROPN
m-815	140	5	journals	journal	NOUN
m-815	140	6	volume	volume	NOUN
m-815	140	7	07	07	NUM
m-815	140	8	|	|	NOUN
m-815	140	9	issue	issue	NOUN
m-815	140	10	03	03	NUM
m-815	141	1	|	|	ADV
m-815	141	2	march	march	PROPN
m-815	141	3	2024	2024	NUM
m-815	142	1	|	|	ADV
m-815	142	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	142	3	7	7	NUM
m-815	142	4	ijo	ijo	PROPN
m-815	142	5	international	international	ADJ
m-815	142	6	journal	journal	PROPN
m-815	142	7	of	of	ADP
m-815	142	8	mathematics	mathematics	PROPN
m-815	142	9	(	(	PUNCT
m-815	142	10	issn	issn	PROPN
m-815	142	11	:	:	PUNCT
m-815	142	12	2992	2992	NUM
m-815	142	13	-	-	SYM
m-815	142	14	4421	4421	NUM
m-815	142	15	)	)	PUNCT
m-815	142	16	venuprasad	venuprasad	PROPN
m-815	142	17	k.	k.	X
m-815	143	1	k.1	k.1	PROPN
m-815	144	1	*	*	PUNCT
m-815	144	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	144	3	volume	volume	NOUN
m-815	144	4	07	07	NUM
m-815	144	5	issue	issue	NOUN
m-815	144	6	03	03	NUM
m-815	144	7	||	||	NUM
m-815	144	8	march	march	NOUN
m-815	144	9	,	,	PUNCT
m-815	144	10	2024	2024	NUM
m-815	144	11	||	||	NOUN
m-815	144	12	mathematical	mathematical	ADJ
m-815	144	13	study	study	NOUN
m-815	144	14	of	of	ADP
m-815	144	15	mhd	mhd	PROPN
m-815	144	16	convective	convective	ADJ
m-815	144	17	flow	flow	NOUN
m-815	144	18	with	with	ADP
m-815	144	19	chemical	chemical	ADJ
m-815	144	20	reaction	reaction	NOUN
m-815	144	21	through	through	ADP
m-815	144	22	a	a	DET
m-815	144	23	porous	porous	ADJ
m-815	144	24	medium	medium	NOUN
m-815	144	25	in	in	ADP
m-815	144	26	a	a	DET
m-815	144	27	vertical	vertical	ADJ
m-815	144	28	wavy	wavy	ADJ
m-815	144	29	channel	channel	NOUN
m-815	144	30	was	be	AUX
m-815	144	31	deduced	deduce	VERB
m-815	144	32	that	that	SCONJ
m-815	144	33	when	when	SCONJ
m-815	144	34	isothermal	isothermal	ADJ
m-815	144	35	temperature	temperature	NOUN
m-815	144	36	and	and	CCONJ
m-815	144	37	ramping	ramp	VERB
m-815	144	38	surface	surface	NOUN
m-815	144	39	concentration	concentration	NOUN
m-815	144	40	are	be	AUX
m-815	144	41	present	present	ADJ
m-815	144	42	simultaneously	simultaneously	ADV
m-815	144	43	,	,	PUNCT
m-815	144	44	the	the	DET
m-815	144	45	magnetic	magnetic	ADJ
m-815	144	46	field	field	NOUN
m-815	144	47	lowers	lower	VERB
m-815	144	48	both	both	PRON
m-815	144	49	of	of	ADP
m-815	144	50	them	they	PRON
m-815	144	51	.	.	PUNCT
m-815	145	1	a	a	DET
m-815	145	2	fluid	fluid	NOUN
m-815	145	3	's	's	PART
m-815	145	4	velocity	velocity	NOUN
m-815	145	5	is	be	AUX
m-815	145	6	expected	expect	VERB
m-815	145	7	to	to	PART
m-815	145	8	be	be	AUX
m-815	145	9	slowed	slow	VERB
m-815	145	10	down	down	ADP
m-815	145	11	by	by	ADP
m-815	145	12	the	the	DET
m-815	145	13	addition	addition	NOUN
m-815	145	14	of	of	ADP
m-815	145	15	a	a	DET
m-815	145	16	magnetic	magnetic	ADJ
m-815	145	17	field	field	NOUN
m-815	145	18	,	,	PUNCT
m-815	145	19	which	which	PRON
m-815	145	20	will	will	AUX
m-815	145	21	increase	increase	VERB
m-815	145	22	the	the	DET
m-815	145	23	resistive	resistive	ADJ
m-815	145	24	model	model	NOUN
m-815	145	25	forces	force	NOUN
m-815	145	26	(	(	PUNCT
m-815	145	27	lorentz	lorentz	PROPN
m-815	145	28	forces	force	NOUN
m-815	145	29	)	)	PUNCT
m-815	145	30	acting	act	VERB
m-815	145	31	on	on	ADP
m-815	145	32	the	the	DET
m-815	145	33	fluid	fluid	NOUN
m-815	145	34	in	in	ADP
m-815	145	35	the	the	DET
m-815	145	36	boundary	boundary	ADJ
m-815	145	37	layers	layer	NOUN
m-815	145	38	.	.	PUNCT
m-815	146	1	fig.1.the	fig.1.the	DET
m-815	146	2	velocity	velocity	NOUN
m-815	146	3	profile	profile	NOUN
m-815	146	4	for	for	ADP
m-815	146	5	u	u	NOUN
m-815	146	6	against	against	ADP
m-815	146	7	m	m	PROPN
m-815	146	8	fig	fig	NOUN
m-815	146	9	.	.	PUNCT
m-815	147	1	2	2	X
m-815	147	2	.	.	X
m-815	147	3	the	the	DET
m-815	147	4	velocity	velocity	NOUN
m-815	147	5	profile	profile	NOUN
m-815	147	6	for	for	ADP
m-815	147	7	v	v	NOUN
m-815	147	8	against	against	ADP
m-815	147	9	m	m	PRON
m-815	147	10	figs.1	figs.1	NOUN
m-815	147	11	and	and	CCONJ
m-815	147	12	2	2	NUM
m-815	147	13	has	have	AUX
m-815	147	14	been	be	AUX
m-815	147	15	shown	show	VERB
m-815	147	16	that	that	SCONJ
m-815	147	17	,	,	PUNCT
m-815	147	18	the	the	DET
m-815	147	19	intensity	intensity	NOUN
m-815	147	20	of	of	ADP
m-815	147	21	the	the	DET
m-815	147	22	magnetic	magnetic	ADJ
m-815	147	23	field	field	NOUN
m-815	147	24	has	have	AUX
m-815	147	25	reducing	reduce	VERB
m-815	147	26	effects	effect	NOUN
m-815	147	27	on	on	ADP
m-815	147	28	velocity	velocity	NOUN
m-815	147	29	profiles	profile	NOUN
m-815	147	30	for	for	ADP
m-815	147	31	together	together	ADV
m-815	147	32	heated	heated	ADJ
m-815	147	33	circumstances	circumstance	NOUN
m-815	147	34	.	.	PUNCT
m-815	148	1	it	it	PRON
m-815	148	2	is	be	AUX
m-815	148	3	anticipated	anticipate	VERB
m-815	148	4	to	to	ADP
m-815	148	5	the	the	DET
m-815	148	6	information	information	NOUN
m-815	148	7	that	that	PRON
m-815	148	8	,	,	PUNCT
m-815	148	9	the	the	DET
m-815	148	10	representing	representing	NOUN
m-815	148	11	of	of	ADP
m-815	148	12	magnetic	magnetic	ADJ
m-815	148	13	domain	domain	NOUN
m-815	148	14	parameter	parameter	NOUN
m-815	148	15	produces	produce	VERB
m-815	148	16	electrical	electrical	ADJ
m-815	148	17	field	field	NOUN
m-815	148	18	in	in	ADP
m-815	148	19	the	the	DET
m-815	148	20	liquid	liquid	ADJ
m-815	148	21	flow	flow	NOUN
m-815	148	22	.	.	PUNCT
m-815	149	1	this	this	DET
m-815	149	2	implied	imply	VERB
m-815	149	3	ijo	ijo	PROPN
m-815	149	4	journals	journal	NOUN
m-815	149	5	volume	volume	NOUN
m-815	149	6	07	07	NUM
m-815	149	7	|	|	NOUN
m-815	149	8	issue	issue	NOUN
m-815	149	9	03	03	NUM
m-815	150	1	|	|	ADV
m-815	150	2	march	march	PROPN
m-815	150	3	2024	2024	NUM
m-815	151	1	|	|	ADV
m-815	151	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	151	3	8	8	NUM
m-815	151	4	ijo	ijo	PROPN
m-815	151	5	international	international	ADJ
m-815	151	6	journal	journal	PROPN
m-815	151	7	of	of	ADP
m-815	151	8	mathematics	mathematics	PROPN
m-815	151	9	(	(	PUNCT
m-815	151	10	issn	issn	PROPN
m-815	151	11	:	:	PUNCT
m-815	151	12	2992	2992	NUM
m-815	151	13	-	-	SYM
m-815	151	14	4421	4421	NUM
m-815	151	15	)	)	PUNCT
m-815	151	16	venuprasad	venuprasad	PROPN
m-815	151	17	k.	k.	X
m-815	152	1	k.1	k.1	PROPN
m-815	153	1	*	*	PUNCT
m-815	153	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	153	3	volume	volume	NOUN
m-815	153	4	07	07	NUM
m-815	153	5	issue	issue	NOUN
m-815	153	6	03	03	NUM
m-815	153	7	||	||	NUM
m-815	153	8	march	march	NOUN
m-815	153	9	,	,	PUNCT
m-815	153	10	2024	2024	NUM
m-815	153	11	||	||	NOUN
m-815	153	12	mathematical	mathematical	ADJ
m-815	153	13	study	study	NOUN
m-815	153	14	of	of	ADP
m-815	153	15	mhd	mhd	PROPN
m-815	153	16	convective	convective	ADJ
m-815	153	17	flow	flow	NOUN
m-815	153	18	with	with	ADP
m-815	153	19	chemical	chemical	ADJ
m-815	153	20	reaction	reaction	NOUN
m-815	153	21	through	through	ADP
m-815	153	22	a	a	DET
m-815	153	23	porous	porous	ADJ
m-815	153	24	medium	medium	NOUN
m-815	153	25	in	in	ADP
m-815	153	26	a	a	DET
m-815	153	27	vertical	vertical	ADJ
m-815	153	28	wavy	wavy	ADJ
m-815	153	29	channel	channel	NOUN
m-815	153	30	that	that	PRON
m-815	153	31	,	,	PUNCT
m-815	153	32	the	the	DET
m-815	153	33	magnetic	magnetic	ADJ
m-815	153	34	field	field	NOUN
m-815	153	35	has	have	AUX
m-815	153	36	reducing	reduce	VERB
m-815	153	37	effect	effect	NOUN
m-815	153	38	for	for	ADP
m-815	153	39	together	together	ADV
m-815	153	40	ramped	ramp	VERB
m-815	153	41	wall	wall	NOUN
m-815	153	42	temperature	temperature	NOUN
m-815	153	43	with	with	ADP
m-815	153	44	ramped	ramped	ADJ
m-815	153	45	surface	surface	NOUN
m-815	153	46	concentration	concentration	NOUN
m-815	153	47	as	as	ADV
m-815	153	48	well	well	ADV
m-815	153	49	as	as	ADP
m-815	153	50	isothermal	isothermal	ADJ
m-815	153	51	temperature	temperature	NOUN
m-815	153	52	with	with	ADP
m-815	153	53	ramped	ramped	ADJ
m-815	153	54	surface	surface	NOUN
m-815	153	55	concentration	concentration	NOUN
m-815	153	56	.	.	PUNCT
m-815	154	1	it	it	PRON
m-815	154	2	is	be	AUX
m-815	154	3	ex	ex	PRON
m-815	154	4	pected	pecte	VERB
m-815	154	5	to	to	ADP
m-815	154	6	the	the	DET
m-815	154	7	information	information	NOUN
m-815	154	8	that	that	PRON
m-815	154	9	,	,	PUNCT
m-815	154	10	the	the	DET
m-815	154	11	application	application	NOUN
m-815	154	12	of	of	ADP
m-815	154	13	the	the	DET
m-815	154	14	magnetic	magnetic	ADJ
m-815	154	15	field	field	NOUN
m-815	154	16	to	to	ADP
m-815	154	17	fluid	fluid	ADJ
m-815	154	18	give	give	VERB
m-815	154	19	augment	augment	NOUN
m-815	154	20	to	to	ADP
m-815	154	21	the	the	DET
m-815	154	22	resistive	resistive	ADJ
m-815	154	23	model	model	NOUN
m-815	154	24	forces	force	NOUN
m-815	154	25	(	(	PUNCT
m-815	154	26	lorentz	lorentz	PROPN
m-815	154	27	forces	force	NOUN
m-815	154	28	)	)	PUNCT
m-815	154	29	on	on	ADP
m-815	154	30	the	the	DET
m-815	154	31	fluid	fluid	NOUN
m-815	154	32	in	in	ADP
m-815	154	33	the	the	DET
m-815	154	34	boundary	boundary	ADJ
m-815	154	35	layers	layer	NOUN
m-815	154	36	,	,	PUNCT
m-815	154	37	this	this	PRON
m-815	154	38	slow	slow	VERB
m-815	154	39	down	down	ADP
m-815	154	40	the	the	DET
m-815	154	41	movement	movement	NOUN
m-815	154	42	of	of	ADP
m-815	154	43	the	the	DET
m-815	154	44	fluid	fluid	NOUN
m-815	154	45	.	.	PUNCT
m-815	155	1	fig.3	fig.3	PROPN
m-815	155	2	the	the	DET
m-815	155	3	velocity	velocity	NOUN
m-815	155	4	profile	profile	NOUN
m-815	155	5	for	for	ADP
m-815	155	6	u	u	NOUN
m-815	155	7	against	against	ADP
m-815	155	8	kr	kr	PROPN
m-815	155	9	.	.	PROPN
m-815	156	1	fig.4	fig.4	VERB
m-815	156	2	the	the	DET
m-815	156	3	velocity	velocity	NOUN
m-815	156	4	profile	profile	NOUN
m-815	156	5	for	for	ADP
m-815	156	6	v	v	NOUN
m-815	156	7	against	against	ADP
m-815	156	8	kr	kr	PROPN
m-815	156	9	.	.	PUNCT
m-815	156	10	ijo	ijo	PROPN
m-815	156	11	journals	journal	NOUN
m-815	156	12	volume	volume	NOUN
m-815	156	13	07	07	NUM
m-815	156	14	|	|	NOUN
m-815	156	15	issue	issue	NOUN
m-815	156	16	03	03	NUM
m-815	157	1	|	|	ADV
m-815	157	2	march	march	PROPN
m-815	157	3	2024	2024	NUM
m-815	158	1	|	|	ADV
m-815	158	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	158	3	9	9	NUM
m-815	158	4	ijo	ijo	PROPN
m-815	158	5	international	international	ADJ
m-815	158	6	journal	journal	PROPN
m-815	158	7	of	of	ADP
m-815	158	8	mathematics	mathematics	PROPN
m-815	158	9	(	(	PUNCT
m-815	158	10	issn	issn	PROPN
m-815	158	11	:	:	PUNCT
m-815	158	12	2992	2992	NUM
m-815	158	13	-	-	SYM
m-815	158	14	4421	4421	NUM
m-815	158	15	)	)	PUNCT
m-815	158	16	venuprasad	venuprasad	PROPN
m-815	158	17	k.	k.	X
m-815	159	1	k.1	k.1	PROPN
m-815	160	1	*	*	PUNCT
m-815	160	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	160	3	volume	volume	NOUN
m-815	160	4	07	07	NUM
m-815	160	5	issue	issue	NOUN
m-815	160	6	03	03	NUM
m-815	160	7	||	||	NUM
m-815	160	8	march	march	NOUN
m-815	160	9	,	,	PUNCT
m-815	160	10	2024	2024	NUM
m-815	160	11	||	||	NOUN
m-815	160	12	mathematical	mathematical	ADJ
m-815	160	13	study	study	NOUN
m-815	160	14	of	of	ADP
m-815	160	15	mhd	mhd	PROPN
m-815	160	16	convective	convective	ADJ
m-815	160	17	flow	flow	NOUN
m-815	160	18	with	with	ADP
m-815	160	19	chemical	chemical	ADJ
m-815	160	20	reaction	reaction	NOUN
m-815	160	21	through	through	ADP
m-815	160	22	a	a	DET
m-815	160	23	porous	porous	ADJ
m-815	160	24	medium	medium	NOUN
m-815	160	25	in	in	ADP
m-815	160	26	a	a	DET
m-815	160	27	vertical	vertical	ADJ
m-815	160	28	wavy	wavy	ADJ
m-815	160	29	channel	channel	NOUN
m-815	160	30	additionally	additionally	ADV
m-815	160	31	,	,	PUNCT
m-815	160	32	it	it	PRON
m-815	160	33	is	be	AUX
m-815	160	34	noted	note	VERB
m-815	160	35	that	that	SCONJ
m-815	160	36	as	as	SCONJ
m-815	160	37	the	the	DET
m-815	160	38	second	second	ADJ
m-815	160	39	grade	grade	NOUN
m-815	160	40	parameter	parameter	NOUN
m-815	160	41	rises	rise	NOUN
m-815	160	42	,	,	PUNCT
m-815	160	43	the	the	DET
m-815	160	44	border	border	NOUN
m-815	160	45	layer	layer	NOUN
m-815	160	46	widths	width	NOUN
m-815	160	47	decrease	decrease	NOUN
m-815	160	48	.	.	PUNCT
m-815	161	1	as	as	SCONJ
m-815	161	2	seen	see	VERB
m-815	161	3	in	in	ADP
m-815	161	4	figs	fig	NOUN
m-815	161	5	.	.	PUNCT
m-815	162	1	3	3	NUM
m-815	162	2	and	and	CCONJ
m-815	162	3	4	4	NUM
m-815	162	4	,	,	PUNCT
m-815	162	5	chemical	chemical	ADJ
m-815	162	6	reactions	reaction	NOUN
m-815	162	7	have	have	VERB
m-815	162	8	a	a	DET
m-815	162	9	slowing	slow	VERB
m-815	162	10	effect	effect	NOUN
m-815	162	11	on	on	ADP
m-815	162	12	the	the	DET
m-815	162	13	velocity	velocity	NOUN
m-815	162	14	of	of	ADP
m-815	162	15	liquid	liquid	ADJ
m-815	162	16	flows	flow	NOUN
m-815	162	17	in	in	ADP
m-815	162	18	combined	combined	ADJ
m-815	162	19	thermal	thermal	ADJ
m-815	162	20	cases	case	NOUN
m-815	162	21	.	.	PUNCT
m-815	163	1	fig.5	fig.5	VERB
m-815	163	2	the	the	DET
m-815	163	3	concentrationprofile	concentrationprofile	ADJ
m-815	163	4	for	for	ADP
m-815	163	5	kr	kr	PROPN
m-815	163	6	.	.	PROPN
m-815	164	1	as	as	SCONJ
m-815	164	2	shown	show	VERB
m-815	164	3	in	in	ADP
m-815	164	4	fig	fig	NOUN
m-815	164	5	.	.	PUNCT
m-815	165	1	5	5	NUM
m-815	165	2	,	,	PUNCT
m-815	165	3	the	the	DET
m-815	165	4	chemical	chemical	NOUN
m-815	165	5	reactions	reaction	NOUN
m-815	165	6	have	have	VERB
m-815	165	7	a	a	DET
m-815	165	8	decreasing	decrease	VERB
m-815	165	9	effect	effect	NOUN
m-815	165	10	on	on	ADP
m-815	165	11	the	the	DET
m-815	165	12	concentration	concentration	NOUN
m-815	165	13	profiles	profile	NOUN
m-815	165	14	and	and	CCONJ
m-815	165	15	liquid	liquid	ADJ
m-815	165	16	flow	flow	NOUN
m-815	165	17	velocity	velocity	NOUN
m-815	165	18	for	for	ADP
m-815	165	19	the	the	DET
m-815	165	20	combined	combined	ADJ
m-815	165	21	thermal	thermal	ADJ
m-815	165	22	case	case	NOUN
m-815	165	23	.	.	PUNCT
m-815	166	1	the	the	DET
m-815	166	2	destructive	destructive	ADJ
m-815	166	3	reactions	reaction	NOUN
m-815	166	4	kr	kr	PROPN
m-815	166	5	>	>	X
m-815	166	6	0	0	NUM
m-815	166	7	have	have	AUX
m-815	166	8	been	be	AUX
m-815	166	9	demonstrated	demonstrate	VERB
m-815	166	10	to	to	PART
m-815	166	11	cause	cause	VERB
m-815	166	12	falls	fall	NOUN
m-815	166	13	into	into	ADP
m-815	166	14	the	the	DET
m-815	166	15	concentration	concentration	NOUN
m-815	166	16	field	field	NOUN
m-815	166	17	,	,	PUNCT
m-815	166	18	which	which	PRON
m-815	166	19	worsens	worsen	VERB
m-815	166	20	the	the	DET
m-815	166	21	effects	effect	NOUN
m-815	166	22	of	of	ADP
m-815	166	23	buoyant	buoyant	ADJ
m-815	166	24	forces	force	NOUN
m-815	166	25	because	because	SCONJ
m-815	166	26	of	of	ADP
m-815	166	27	the	the	DET
m-815	166	28	concentration	concentration	NOUN
m-815	166	29	gradient	gradient	NOUN
m-815	166	30	.	.	PUNCT
m-815	167	1	the	the	DET
m-815	167	2	flows	flow	NOUN
m-815	167	3	domain	domain	NOUN
m-815	167	4	is	be	AUX
m-815	167	5	then	then	ADV
m-815	167	6	narrowed	narrow	VERB
m-815	167	7	down.depending	down.depende	VERB
m-815	167	8	on	on	ADP
m-815	167	9	the	the	DET
m-815	167	10	nusselt	nusselt	NOUN
m-815	167	11	number	number	NOUN
m-815	167	12	,	,	PUNCT
m-815	167	13	producing	produce	VERB
m-815	167	14	,	,	PUNCT
m-815	167	15	absorbing	absorbing	ADJ
m-815	167	16	,	,	PUNCT
m-815	167	17	and/or	and/or	CCONJ
m-815	167	18	radiating	radiate	VERB
m-815	167	19	parameters	parameter	NOUN
m-815	167	20	h	h	NOUN
m-815	167	21	and	and	CCONJ
m-815	167	22	r.	r.	PROPN
m-815	167	23	when	when	SCONJ
m-815	167	24	the	the	DET
m-815	167	25	temperature	temperature	NOUN
m-815	167	26	producing	produce	VERB
m-815	167	27	and/or	and/or	CCONJ
m-815	167	28	absorbing	absorb	VERB
m-815	167	29	parameter	parameter	NOUN
m-815	167	30	h	h	NOUN
m-815	167	31	and	and	CCONJ
m-815	167	32	the	the	DET
m-815	167	33	prandtl	prandtl	NOUN
m-815	167	34	number	number	NOUN
m-815	167	35	pr	pr	NOUN
m-815	167	36	increase	increase	NOUN
m-815	167	37	,	,	PUNCT
m-815	167	38	the	the	DET
m-815	167	39	nusselt	nusselt	NOUN
m-815	167	40	number	number	NOUN
m-815	167	41	nu	nu	NOUN
m-815	167	42	increases	increase	NOUN
m-815	167	43	.	.	PUNCT
m-815	168	1	conversely	conversely	ADV
m-815	168	2	,	,	PUNCT
m-815	168	3	when	when	SCONJ
m-815	168	4	the	the	DET
m-815	168	5	radiating	radiating	NOUN
m-815	168	6	parameter	parameter	NOUN
m-815	168	7	r	r	NOUN
m-815	168	8	increases	increase	NOUN
m-815	168	9	,	,	PUNCT
m-815	168	10	the	the	DET
m-815	168	11	nusselt	nusselt	NOUN
m-815	168	12	number	number	NOUN
m-815	168	13	nu	nu	NOUN
m-815	168	14	decreases	decrease	VERB
m-815	168	15	for	for	ADP
m-815	168	16	both	both	PRON
m-815	168	17	ramping	ramp	VERB
m-815	168	18	wall	wall	NOUN
m-815	168	19	temperature	temperature	NOUN
m-815	168	20	and	and	CCONJ
m-815	168	21	isothermal	isothermal	ADJ
m-815	168	22	plate	plate	NOUN
m-815	168	23	.	.	PUNCT
m-815	169	1	the	the	DET
m-815	169	2	nusselt	nusselt	NOUN
m-815	169	3	number	number	NOUN
m-815	169	4	decreases	decrease	VERB
m-815	169	5	with	with	ADP
m-815	169	6	increasing	increase	VERB
m-815	169	7	time	time	NOUN
m-815	169	8	for	for	ADP
m-815	169	9	an	an	DET
m-815	169	10	isothermal	isothermal	ADJ
m-815	169	11	plate	plate	NOUN
m-815	169	12	and	and	CCONJ
m-815	169	13	increases	increase	NOUN
m-815	169	14	with	with	ADP
m-815	169	15	ramping	ramp	VERB
m-815	169	16	wall	wall	NOUN
m-815	169	17	temperature	temperature	NOUN
m-815	169	18	.	.	PUNCT
m-815	170	1	ijo	ijo	PROPN
m-815	170	2	journals	journal	NOUN
m-815	170	3	volume	volume	NOUN
m-815	170	4	07	07	NUM
m-815	170	5	|	|	NOUN
m-815	170	6	issue	issue	NOUN
m-815	170	7	03	03	NUM
m-815	171	1	|	|	ADV
m-815	171	2	march	march	PROPN
m-815	171	3	2024	2024	NUM
m-815	172	1	|	|	ADV
m-815	172	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	172	3	10	10	NUM
m-815	172	4	ijo	ijo	PROPN
m-815	172	5	international	international	ADJ
m-815	172	6	journal	journal	PROPN
m-815	172	7	of	of	ADP
m-815	172	8	mathematics	mathematics	PROPN
m-815	172	9	(	(	PUNCT
m-815	172	10	issn	issn	PROPN
m-815	172	11	:	:	PUNCT
m-815	172	12	2992	2992	NUM
m-815	172	13	-	-	SYM
m-815	172	14	4421	4421	NUM
m-815	172	15	)	)	PUNCT
m-815	172	16	venuprasad	venuprasad	PROPN
m-815	172	17	k.	k.	X
m-815	173	1	k.1	k.1	PROPN
m-815	174	1	*	*	PUNCT
m-815	174	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	174	3	volume	volume	NOUN
m-815	174	4	07	07	NUM
m-815	174	5	issue	issue	NOUN
m-815	174	6	03	03	NUM
m-815	174	7	||	||	NUM
m-815	174	8	march	march	NOUN
m-815	174	9	,	,	PUNCT
m-815	174	10	2024	2024	NUM
m-815	174	11	||	||	NOUN
m-815	174	12	mathematical	mathematical	ADJ
m-815	174	13	study	study	NOUN
m-815	174	14	of	of	ADP
m-815	174	15	mhd	mhd	PROPN
m-815	174	16	convective	convective	ADJ
m-815	174	17	flow	flow	NOUN
m-815	174	18	with	with	ADP
m-815	174	19	chemical	chemical	ADJ
m-815	174	20	reaction	reaction	NOUN
m-815	174	21	through	through	ADP
m-815	174	22	a	a	DET
m-815	174	23	porous	porous	ADJ
m-815	174	24	medium	medium	NOUN
m-815	174	25	in	in	ADP
m-815	174	26	a	a	DET
m-815	174	27	vertical	vertical	ADJ
m-815	174	28	wavy	wavy	ADJ
m-815	174	29	channel	channel	NOUN
m-815	174	30	table.1	table.1	VERB
m-815	174	31	the	the	DET
m-815	174	32	nusselt	nusselt	NOUN
m-815	174	33	number	number	NOUN
m-815	174	34	pr	pr	NOUN
m-815	174	35	r	r	NOUN
m-815	174	36	h	h	NOUN
m-815	174	37	t	t	NOUN
m-815	174	38	ramped	ramp	VERB
m-815	174	39	temperature	temperature	NOUN
m-815	174	40	isothermal	isothermal	ADJ
m-815	174	41	temperature	temperature	NOUN
m-815	174	42	0.71	0.71	NUM
m-815	174	43	2	2	NUM
m-815	174	44	2	2	NUM
m-815	174	45	0.2	0.2	NUM
m-815	174	46	0.732255	0.732255	NUM
m-815	174	47	1.779785	1.779785	NUM
m-815	174	48	3	3	NUM
m-815	174	49	0.846796	0.846796	NUM
m-815	174	50	2.077621	2.077621	NUM
m-815	174	51	7	7	NUM
m-815	174	52	1.247212	1.247212	NUM
m-815	174	53	2.379774	2.379774	NUM
m-815	174	54	5	5	NUM
m-815	174	55	0.694214	0.694214	NUM
m-815	174	56	1.510547	1.510547	NUM
m-815	174	57	8	8	NUM
m-815	174	58	0.657995	0.657995	NUM
m-815	174	59	1.227544	1.227544	NUM
m-815	174	60	-2	-2	NOUN
m-815	174	61	0.647895	0.647895	NUM
m-815	174	62	1.513705	1.513705	NUM
m-815	174	63	5	5	NUM
m-815	174	64	0.846778	0.846778	NUM
m-815	174	65	1.950562	1.950562	NUM
m-815	174	66	0.5	0.5	NUM
m-815	174	67	0.874546	0.874546	NUM
m-815	174	68	1.469785	1.469785	NUM
m-815	174	69	0.8	0.8	NUM
m-815	174	70	0.958589	0.958589	NUM
m-815	174	71	1.394958	1.394958	NUM
m-815	174	72	the	the	DET
m-815	174	73	effects	effect	NOUN
m-815	174	74	of	of	ADP
m-815	174	75	temperature	temperature	NOUN
m-815	174	76	producing	produce	VERB
m-815	174	77	and/or	and/or	CCONJ
m-815	174	78	absorbing	absorb	VERB
m-815	174	79	parameter	parameter	NOUN
m-815	174	80	h	h	NOUN
m-815	174	81	,	,	PUNCT
m-815	174	82	radiating	radiate	VERB
m-815	174	83	parameter	parameter	NOUN
m-815	174	84	r	r	NOUN
m-815	174	85	,	,	PUNCT
m-815	174	86	and	and	CCONJ
m-815	174	87	pr	pr	X
m-815	174	88	on	on	ADP
m-815	174	89	the	the	DET
m-815	174	90	nusselt	nusselt	NOUN
m-815	174	91	number	number	NOUN
m-815	174	92	were	be	AUX
m-815	174	93	shown	show	VERB
m-815	174	94	in	in	ADP
m-815	174	95	table.1	table.1	PROPN
m-815	174	96	.	.	PUNCT
m-815	175	1	when	when	SCONJ
m-815	175	2	the	the	DET
m-815	175	3	temperature	temperature	NOUN
m-815	175	4	producing	produce	VERB
m-815	175	5	and/or	and/or	CCONJ
m-815	175	6	absorbing	absorb	VERB
m-815	175	7	parameter	parameter	NOUN
m-815	175	8	h	h	NOUN
m-815	175	9	and	and	CCONJ
m-815	175	10	the	the	DET
m-815	175	11	prandtl	prandtl	NOUN
m-815	175	12	number	number	NOUN
m-815	175	13	pr	pr	NOUN
m-815	175	14	increase	increase	NOUN
m-815	175	15	,	,	PUNCT
m-815	175	16	the	the	DET
m-815	175	17	nusselt	nusselt	NOUN
m-815	175	18	number	number	NOUN
m-815	175	19	nu	nu	NOUN
m-815	175	20	increases	increase	NOUN
m-815	175	21	.	.	PUNCT
m-815	176	1	conversely	conversely	ADV
m-815	176	2	,	,	PUNCT
m-815	176	3	when	when	SCONJ
m-815	176	4	the	the	DET
m-815	176	5	radiating	radiating	NOUN
m-815	176	6	parameter	parameter	NOUN
m-815	176	7	r	r	NOUN
m-815	176	8	increases	increase	NOUN
m-815	176	9	,	,	PUNCT
m-815	176	10	the	the	DET
m-815	176	11	nusselt	nusselt	NOUN
m-815	176	12	number	number	NOUN
m-815	176	13	nu	nu	NOUN
m-815	176	14	decreases	decrease	VERB
m-815	176	15	for	for	ADP
m-815	176	16	both	both	PRON
m-815	176	17	ramping	ramp	VERB
m-815	176	18	wall	wall	NOUN
m-815	176	19	temperature	temperature	NOUN
m-815	176	20	and	and	CCONJ
m-815	176	21	isothermal	isothermal	ADJ
m-815	176	22	plate	plate	NOUN
m-815	176	23	.	.	PUNCT
m-815	177	1	the	the	DET
m-815	177	2	nusselt	nusselt	NOUN
m-815	177	3	number	number	NOUN
m-815	177	4	decreases	decrease	VERB
m-815	177	5	with	with	ADP
m-815	177	6	increasing	increase	VERB
m-815	177	7	time	time	NOUN
m-815	177	8	for	for	ADP
m-815	177	9	an	an	DET
m-815	177	10	isothermal	isothermal	ADJ
m-815	177	11	plate	plate	NOUN
m-815	177	12	and	and	CCONJ
m-815	177	13	increases	increase	NOUN
m-815	177	14	with	with	ADP
m-815	177	15	ramping	ramp	VERB
m-815	177	16	wall	wall	NOUN
m-815	177	17	temperature	temperature	NOUN
m-815	177	18	.	.	PUNCT
m-815	178	1	ijo	ijo	PROPN
m-815	178	2	journals	journal	NOUN
m-815	178	3	volume	volume	NOUN
m-815	178	4	07	07	NUM
m-815	178	5	|	|	NOUN
m-815	178	6	issue	issue	NOUN
m-815	178	7	03	03	NUM
m-815	179	1	|	|	ADV
m-815	179	2	march	march	PROPN
m-815	179	3	2024	2024	NUM
m-815	180	1	|	|	ADV
m-815	180	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	180	3	11	11	NUM
m-815	180	4	ijo	ijo	PROPN
m-815	180	5	international	international	PROPN
m-815	180	6	journal	journal	PROPN
m-815	180	7	of	of	ADP
m-815	180	8	mathematics	mathematics	PROPN
m-815	180	9	(	(	PUNCT
m-815	180	10	issn	issn	PROPN
m-815	180	11	:	:	PUNCT
m-815	180	12	2992	2992	NUM
m-815	180	13	-	-	SYM
m-815	180	14	4421	4421	NUM
m-815	180	15	)	)	PUNCT
m-815	180	16	venuprasad	venuprasad	PROPN
m-815	180	17	k.	k.	X
m-815	181	1	k.1	k.1	PROPN
m-815	182	1	*	*	PUNCT
m-815	182	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	182	3	volume	volume	NOUN
m-815	182	4	07	07	NUM
m-815	182	5	issue	issue	NOUN
m-815	182	6	03	03	NUM
m-815	182	7	||	||	NUM
m-815	182	8	march	march	NOUN
m-815	182	9	,	,	PUNCT
m-815	182	10	2024	2024	NUM
m-815	182	11	||	||	NOUN
m-815	182	12	mathematical	mathematical	ADJ
m-815	182	13	study	study	NOUN
m-815	182	14	of	of	ADP
m-815	182	15	mhd	mhd	PROPN
m-815	182	16	convective	convective	ADJ
m-815	182	17	flow	flow	NOUN
m-815	182	18	with	with	ADP
m-815	182	19	chemical	chemical	ADJ
m-815	182	20	reaction	reaction	NOUN
m-815	182	21	through	through	ADP
m-815	182	22	a	a	DET
m-815	182	23	porous	porous	ADJ
m-815	182	24	medium	medium	NOUN
m-815	182	25	in	in	ADP
m-815	182	26	a	a	DET
m-815	182	27	vertical	vertical	ADJ
m-815	182	28	wavy	wavy	ADJ
m-815	182	29	channel	channel	NOUN
m-815	182	30	table.2	table.2	DET
m-815	182	31	the	the	DET
m-815	182	32	shear	shear	NOUN
m-815	182	33	stresses	stress	VERB
m-815	182	34	m	m	VERB
m-815	182	35	k	k	PROPN
m-815	182	36	α	α	PROPN
m-815	182	37	kr	kr	PROPN
m-815	182	38	sr	sr	PROPN
m-815	182	39	gr	gr	INTJ
m-815	182	40	gm	gm	PROPN
m-815	182	41	h	h	NOUN
m-815	182	42	r	r	NOUN
m-815	182	43	ramped	ramp	VERB
m-815	182	44	temperature	temperature	NOUN
m-815	182	45	isothermal	isothermal	ADJ
m-815	182	46	plate	plate	NOUN
m-815	182	47	0.5	0.5	NUM
m-815	182	48	0.5	0.5	NUM
m-815	182	49	0.1	0.1	NUM
m-815	182	50	2	2	NUM
m-815	182	51	0.1	0.1	NUM
m-815	182	52	5	5	NUM
m-815	182	53	2	2	NUM
m-815	182	54	2	2	NUM
m-815	182	55	2	2	NUM
m-815	182	56	x	x	PROPN
m-815	182	57	y	y	PROPN
m-815	182	58	x	x	PROPN
m-815	183	1	y	y	PROPN
m-815	184	1	0.8	0.8	NUM
m-815	184	2	2.032214	2.032214	NUM
m-815	184	3	0.075785	0.075785	NUM
m-815	184	4	1.624789	1.624789	NUM
m-815	184	5	0.79889	0.79889	NUM
m-815	184	6	1	1	NUM
m-815	184	7	1.613058	1.613058	NUM
m-815	184	8	0.086898	0.086898	NUM
m-815	184	9	1.335469	1.335469	NUM
m-815	184	10	0.828547	0.828547	NUM
m-815	184	11	1	1	NUM
m-815	184	12	1.269592	1.269592	NUM
m-815	184	13	0.093578	0.093578	NUM
m-815	184	14	1.105014	1.105014	NUM
m-815	184	15	0.932554	0.932554	NUM
m-815	184	16	1.5	1.5	NUM
m-815	184	17	1.934796	1.934796	NUM
m-815	184	18	0.053478	0.053478	NUM
m-815	184	19	1.449635	1.449635	NUM
m-815	184	20	0.732969	0.732969	NUM
m-815	184	21	1	1	NUM
m-815	184	22	1.705478	1.705478	NUM
m-815	184	23	0.042502	0.042502	NUM
m-815	184	24	1.304789	1.304789	NUM
m-815	184	25	0.621559	0.621559	NUM
m-815	184	26	1.5	1.5	NUM
m-815	184	27	2.602466	2.602466	NUM
m-815	184	28	0.086895	0.086895	NUM
m-815	184	29	1.738966	1.738966	NUM
m-815	184	30	0.931748	0.931748	NUM
m-815	184	31	3	3	NUM
m-815	184	32	3.735896	3.735896	NUM
m-815	184	33	0.113547	0.113547	NUM
m-815	184	34	1.880254	1.880254	NUM
m-815	184	35	1.109589	1.109589	NUM
m-815	184	36	4	4	NUM
m-815	184	37	2.335895	2.335895	NUM
m-815	184	38	0.083874	0.083874	NUM
m-815	184	39	1.978801	1.978801	NUM
m-815	184	40	0.998478	0.998478	NUM
m-815	184	41	0.5	0.5	NUM
m-815	184	42	2.968747	2.968747	NUM
m-815	184	43	0.115748	0.115748	NUM
m-815	184	44	2.965479	2.965479	NUM
m-815	184	45	1.398041	1.398041	NUM
m-815	184	46	1	1	NUM
m-815	184	47	1.939745	1.939745	NUM
m-815	184	48	0.049411	0.049411	NUM
m-815	184	49	1.075884	1.075884	NUM
m-815	184	50	0.479952	0.479952	NUM
m-815	184	51	8	8	NUM
m-815	184	52	1.749985	1.749985	NUM
m-815	184	53	0.042115	0.042115	NUM
m-815	184	54	0.330856	0.330856	NUM
m-815	184	55	0.239658	0.239658	NUM
m-815	184	56	10	10	NUM
m-815	184	57	1.93211	1.93211	NUM
m-815	184	58	0.053041	0.053041	NUM
m-815	184	59	1.602147	1.602147	NUM
m-815	184	60	0.767587	0.767587	NUM
m-815	184	61	5	5	NUM
m-815	184	62	1.703522	1.703522	NUM
m-815	184	63	0.046874	0.046874	NUM
m-815	184	64	1.580145	1.580145	NUM
m-815	184	65	0.741847	0.741847	NUM
m-815	184	66	8	8	NUM
m-815	184	67	1.976547	1.976547	NUM
m-815	184	68	0.064306	0.064306	NUM
m-815	184	69	1.612265	1.612265	NUM
m-815	184	70	0.790895	0.790895	NUM
m-815	184	71	-5	-5	NUM
m-815	184	72	1.869954	1.869954	NUM
m-815	184	73	0.049447	0.049447	NUM
m-815	184	74	1.601458	1.601458	NUM
m-815	184	75	0.767014	0.767014	NUM
m-815	184	76	5	5	NUM
m-815	184	77	1.939665	1.939665	NUM
m-815	184	78	0.060256	0.060256	NUM
m-815	184	79	1.565595	1.565595	NUM
m-815	184	80	0.701748	0.701748	NUM
m-815	184	81	5	5	NUM
m-815	184	82	2.33565	2.33565	NUM
m-815	184	83	0.086874	0.086874	NUM
m-815	184	84	1.749854	1.749854	NUM
m-815	184	85	0.901849	0.901849	NUM
m-815	184	86	8	8	NUM
m-815	184	87	2.105452	2.105452	NUM
m-815	184	88	0.083289	0.083289	NUM
m-815	184	89	1.738859	1.738859	NUM
m-815	184	90	0.998954	0.998954	NUM
m-815	184	91	ijo	ijo	NOUN
m-815	184	92	journals	journal	NOUN
m-815	184	93	volume	volume	NOUN
m-815	184	94	07	07	NUM
m-815	184	95	|	|	NOUN
m-815	184	96	issue	issue	NOUN
m-815	184	97	03	03	NUM
m-815	185	1	|	|	ADV
m-815	185	2	march	march	PROPN
m-815	185	3	2024	2024	NUM
m-815	186	1	|	|	ADV
m-815	186	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	186	3	12	12	NUM
m-815	186	4	ijo	ijo	PROPN
m-815	186	5	international	international	PROPN
m-815	186	6	journal	journal	PROPN
m-815	186	7	of	of	ADP
m-815	186	8	mathematics	mathematics	PROPN
m-815	186	9	(	(	PUNCT
m-815	186	10	issn	issn	PROPN
m-815	186	11	:	:	PUNCT
m-815	186	12	2992	2992	NUM
m-815	186	13	-	-	SYM
m-815	186	14	4421	4421	NUM
m-815	186	15	)	)	PUNCT
m-815	186	16	venuprasad	venuprasad	PROPN
m-815	186	17	k.	k.	X
m-815	187	1	k.1	k.1	PROPN
m-815	188	1	*	*	PUNCT
m-815	188	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	188	3	volume	volume	NOUN
m-815	188	4	07	07	NUM
m-815	188	5	issue	issue	NOUN
m-815	188	6	03	03	NUM
m-815	188	7	||	||	NUM
m-815	188	8	march	march	NOUN
m-815	188	9	,	,	PUNCT
m-815	188	10	2024	2024	NUM
m-815	188	11	||	||	NOUN
m-815	188	12	mathematical	mathematical	ADJ
m-815	188	13	study	study	NOUN
m-815	188	14	of	of	ADP
m-815	188	15	mhd	mhd	PROPN
m-815	188	16	convective	convective	ADJ
m-815	188	17	flow	flow	NOUN
m-815	188	18	with	with	ADP
m-815	188	19	chemical	chemical	ADJ
m-815	188	20	reaction	reaction	NOUN
m-815	188	21	through	through	ADP
m-815	188	22	a	a	DET
m-815	188	23	porous	porous	ADJ
m-815	188	24	medium	medium	NOUN
m-815	188	25	in	in	ADP
m-815	188	26	a	a	DET
m-815	188	27	vertical	vertical	ADJ
m-815	188	28	wavy	wavy	ADJ
m-815	188	29	channel	channel	NOUN
m-815	188	30	table.3	table.3	SCONJ
m-815	188	31	the	the	DET
m-815	188	32	sherwood	sherwood	PROPN
m-815	188	33	number(pr=0.710,r=2.0,h=-2.0	number(pr=0.710,r=2.0,h=-2.0	PROPN
m-815	188	34	)	)	PUNCT
m-815	188	35	sr	sr	PROPN
m-815	188	36	kr	kr	PROPN
m-815	188	37	sc	sc	PROPN
m-815	188	38	t	t	PROPN
m-815	188	39	ramped	ramp	VERB
m-815	188	40	temperature	temperature	NOUN
m-815	188	41	isothermal	isothermal	ADJ
m-815	188	42	temperature	temperature	NOUN
m-815	188	43	0.1	0.1	NUM
m-815	188	44	2	2	NUM
m-815	188	45	0.22	0.22	NUM
m-815	188	46	0.2	0.2	NUM
m-815	188	47	0.430478	0.430478	NUM
m-815	188	48	0.545478	0.545478	NUM
m-815	188	49	0.5	0.5	NUM
m-815	188	50	0.347254	0.347254	NUM
m-815	188	51	0.462254	0.462254	NUM
m-815	188	52	1	1	NUM
m-815	188	53	0.292854	0.292854	NUM
m-815	188	54	0.407854	0.407854	NUM
m-815	188	55	3	3	NUM
m-815	188	56	0.492785	0.492785	NUM
m-815	188	57	0.607785	0.607785	NUM
m-815	188	58	4	4	NUM
m-815	188	59	0.570699	0.570699	NUM
m-815	188	60	0.685699	0.685699	NUM
m-815	188	61	0.3	0.3	NUM
m-815	188	62	0.403895	0.403895	NUM
m-815	188	63	0.518895	0.518895	NUM
m-815	188	64	0.6	0.6	NUM
m-815	188	65	0.370548	0.370548	NUM
m-815	188	66	0.485548	0.485548	NUM
m-815	188	67	0.5	0.5	NUM
m-815	188	68	0.500897	0.500897	NUM
m-815	188	69	0.615897	0.615897	NUM
m-815	188	70	this	this	PRON
m-815	188	71	is	be	AUX
m-815	188	72	scrutinized	scrutinize	VERB
m-815	188	73	from	from	ADP
m-815	188	74	table	table	NOUN
m-815	188	75	2	2	NUM
m-815	188	76	that	that	PRON
m-815	188	77	,	,	PUNCT
m-815	188	78	it	it	PRON
m-815	188	79	is	be	AUX
m-815	188	80	notified	notify	VERB
m-815	188	81	that	that	SCONJ
m-815	188	82	,	,	PUNCT
m-815	188	83	for	for	ADP
m-815	188	84	together	together	ADV
m-815	188	85	ramped	ramp	VERB
m-815	188	86	wall	wall	NOUN
m-815	188	87	temperature	temperature	NOUN
m-815	188	88	and	and	CCONJ
m-815	188	89	isothermal	isothermal	ADJ
m-815	188	90	plate	plate	NOUN
m-815	188	91	,	,	PUNCT
m-815	188	92	the	the	DET
m-815	188	93	stress	stress	NOUN
m-815	188	94	components	component	NOUN
m-815	188	95	τx	τx	INTJ
m-815	188	96	as	as	ADV
m-815	188	97	well	well	ADV
m-815	188	98	as	as	ADP
m-815	188	99	τy	τy	ADV
m-815	188	100	enhances	enhance	NOUN
m-815	188	101	by	by	ADP
m-815	188	102	an	an	DET
m-815	188	103	increasing	increasing	NOUN
m-815	188	104	in	in	ADP
m-815	188	105	second	second	ADJ
m-815	188	106	graded	grade	VERB
m-815	188	107	fluid	fluid	ADJ
m-815	188	108	parameter	parameter	NOUN
m-815	188	109	α	α	NOUN
m-815	188	110	,	,	PUNCT
m-815	188	111	chemical	chemical	NOUN
m-815	188	112	reacting	react	VERB
m-815	188	113	parameter	parameter	NOUN
m-815	188	114	kr	kr	PROPN
m-815	188	115	,	,	PUNCT
m-815	188	116	temperature	temperature	NOUN
m-815	188	117	generations	generation	NOUN
m-815	188	118	and/or	and/or	CCONJ
m-815	188	119	absorptions	absorption	NOUN
m-815	188	120	h	h	NOUN
m-815	188	121	and	and	CCONJ
m-815	188	122	thermal	thermal	ADJ
m-815	188	123	radiation	radiation	NOUN
m-815	188	124	parameter	parameter	NOUN
m-815	188	125	r	r	NOUN
m-815	188	126	,	,	PUNCT
m-815	188	127	as	as	ADV
m-815	188	128	well	well	ADV
m-815	188	129	as	as	SCONJ
m-815	188	130	it	it	PRON
m-815	188	131	reduces	reduce	VERB
m-815	188	132	by	by	ADP
m-815	188	133	an	an	DET
m-815	188	134	increasing	increasing	NOUN
m-815	188	135	in	in	ADP
m-815	188	136	the	the	DET
m-815	188	137	permeability	permeability	NOUN
m-815	188	138	parameter	parameter	NOUN
m-815	188	139	k	k	PROPN
m-815	188	140	,	,	PUNCT
m-815	188	141	thermal	thermal	ADJ
m-815	188	142	-	-	PUNCT
m-815	188	143	diffusion	diffusion	NOUN
m-815	188	144	(	(	PUNCT
m-815	188	145	soret	soret	PROPN
m-815	188	146	)	)	PUNCT
m-815	188	147	parameters	parameter	NOUN
m-815	188	148	sr	sr	PROPN
m-815	188	149	,	,	PUNCT
m-815	188	150	thermal	thermal	ADJ
m-815	188	151	grashof	grashof	ADJ
m-815	188	152	numbers	number	NOUN
m-815	188	153	gr	gr	ADP
m-815	188	154	and	and	CCONJ
m-815	188	155	mass	mass	ADJ
m-815	188	156	grashof	grashof	ADJ
m-815	188	157	quantity	quantity	NOUN
m-815	188	158	gm	gm	PROPN
m-815	188	159	.	.	PUNCT
m-815	189	1	this	this	PRON
m-815	189	2	is	be	AUX
m-815	189	3	also	also	ADV
m-815	189	4	found	find	VERB
m-815	189	5	that	that	SCONJ
m-815	189	6	by	by	ADP
m-815	189	7	an	an	DET
m-815	189	8	increasing	increasing	NOUN
m-815	189	9	in	in	ADP
m-815	189	10	the	the	DET
m-815	189	11	intensity	intensity	NOUN
m-815	189	12	of	of	ADP
m-815	189	13	the	the	DET
m-815	189	14	magnetic	magnetic	ADJ
m-815	189	15	fields	field	NOUN
m-815	189	16	then	then	ADV
m-815	189	17	the	the	DET
m-815	189	18	stress	stress	NOUN
m-815	189	19	components	component	NOUN
m-815	189	20	τx	τx	ADP
m-815	189	21	retards	retard	NOUN
m-815	189	22	and	and	CCONJ
m-815	189	23	the	the	DET
m-815	189	24	component	component	NOUN
m-815	189	25	τy	τy	ADP
m-815	189	26	boosting	boost	VERB
m-815	189	27	up	up	ADP
m-815	189	28	for	for	ADP
m-815	189	29	together	together	ADV
m-815	189	30	ramped	ramp	VERB
m-815	189	31	wall	wall	NOUN
m-815	189	32	and	and	CCONJ
m-815	189	33	isothermal	isothermal	ADJ
m-815	189	34	plate	plate	NOUN
m-815	189	35	.	.	PUNCT
m-815	190	1	finally	finally	ADV
m-815	190	2	,	,	PUNCT
m-815	190	3	the	the	DET
m-815	190	4	sherwood	sherwood	PROPN
m-815	190	5	number	number	NOUN
m-815	190	6	sh	sh	PROPN
m-815	190	7	is	be	AUX
m-815	190	8	reduced	reduce	VERB
m-815	190	9	with	with	ADP
m-815	190	10	an	an	DET
m-815	190	11	increasing	increasing	NOUN
m-815	190	12	in	in	ADP
m-815	190	13	the	the	DET
m-815	190	14	soret	soret	NOUN
m-815	190	15	number	number	NOUN
m-815	190	16	sr	sr	PROPN
m-815	190	17	as	as	ADV
m-815	190	18	well	well	ADV
m-815	190	19	as	as	ADP
m-815	190	20	schmidt	schmidt	ADJ
m-815	190	21	number	number	NOUN
m-815	190	22	,	,	PUNCT
m-815	190	23	and	and	CCONJ
m-815	190	24	it	it	PRON
m-815	190	25	is	be	AUX
m-815	190	26	increasing	increase	VERB
m-815	190	27	with	with	ADP
m-815	190	28	an	an	DET
m-815	190	29	increasing	increasing	NOUN
m-815	190	30	in	in	ADP
m-815	190	31	chemically	chemically	ADV
m-815	190	32	reacting	react	VERB
m-815	190	33	parameter	parameter	NOUN
m-815	190	34	kr	kr	PROPN
m-815	190	35	and	and	CCONJ
m-815	190	36	certain	certain	ADJ
m-815	190	37	instant	instant	NOUN
m-815	190	38	of	of	ADP
m-815	190	39	time	time	NOUN
m-815	190	40	for	for	ADP
m-815	190	41	together	together	ADV
m-815	190	42	ramped	ramp	VERB
m-815	190	43	wall	wall	NOUN
m-815	190	44	temperature	temperature	NOUN
m-815	190	45	and	and	CCONJ
m-815	190	46	an	an	DET
m-815	190	47	isothermal	isothermal	ADJ
m-815	190	48	plate	plate	NOUN
m-815	190	49	(	(	PUNCT
m-815	190	50	table	table	NOUN
m-815	190	51	3	3	NUM
m-815	190	52	)	)	PUNCT
m-815	190	53	.	.	PUNCT
m-815	191	1	6.references	6.references	NUM
m-815	192	1	[	[	X
m-815	192	2	1]w	1]w	NUM
m-815	192	3	.	.	PUNCT
m-815	193	1	tan	tan	PROPN
m-815	193	2	,	,	PUNCT
m-815	193	3	t.	t.	NOUN
m-815	193	4	masuoka	masuoka	NOUN
m-815	193	5	,	,	PUNCT
m-815	193	6	stokes	stokes	PROPN
m-815	193	7	’	'	PUNCT
m-815	193	8	first	first	ADJ
m-815	193	9	problem	problem	NOUN
m-815	193	10	for	for	ADP
m-815	193	11	a	a	DET
m-815	193	12	second	second	ADJ
m-815	193	13	grade	grade	NOUN
m-815	193	14	fluid	fluid	NOUN
m-815	193	15	in	in	ADP
m-815	193	16	a	a	DET
m-815	193	17	porous	porous	ADJ
m-815	193	18	halfspace	halfspace	NOUN
m-815	193	19	with	with	ADP
m-815	193	20	heated	heated	ADJ
m-815	193	21	boundary	boundary	NOUN
m-815	193	22	,	,	PUNCT
m-815	193	23	int	int	NOUN
m-815	193	24	.	.	PUNCT
m-815	194	1	j.	j.	PROPN
m-815	194	2	nonlinear	nonlinear	PROPN
m-815	194	3	mech	mech	PROPN
m-815	194	4	.	.	PUNCT
m-815	195	1	40	40	NUM
m-815	195	2	(	(	PUNCT
m-815	195	3	2005	2005	NUM
m-815	195	4	)	)	PUNCT
m-815	195	5	515–522	515–522	NUM
m-815	195	6	.	.	PUNCT
m-815	196	1	[	[	X
m-815	196	2	2	2	NUM
m-815	196	3	]	]	X
m-815	196	4	m.m	m.m	PROPN
m-815	196	5	.	.	PROPN
m-815	196	6	rashidi	rashidi	PROPN
m-815	196	7	,	,	PUNCT
m-815	196	8	s.a	s.a	PROPN
m-815	196	9	.	.	PROPN
m-815	196	10	majid	majid	PROPN
m-815	196	11	,	,	PUNCT
m-815	196	12	a.	a.	PROPN
m-815	196	13	mostafa	mostafa	PROPN
m-815	196	14	,	,	PUNCT
m-815	196	15	application	application	NOUN
m-815	196	16	of	of	ADP
m-815	196	17	homotopy	homotopy	NOUN
m-815	196	18	analysis	analysis	NOUN
m-815	196	19	method	method	NOUN
m-815	196	20	to	to	ADP
m-815	196	21	the	the	DET
m-815	196	22	unsteady	unsteady	ADJ
m-815	196	23	squeezing	squeeze	VERB
m-815	196	24	flow	flow	NOUN
m-815	196	25	of	of	ADP
m-815	196	26	a	a	DET
m-815	196	27	second	second	ADJ
m-815	196	28	-	-	PUNCT
m-815	196	29	grade	grade	NOUN
m-815	196	30	fluid	fluid	NOUN
m-815	196	31	between	between	ADP
m-815	196	32	circular	circular	ADJ
m-815	196	33	plates	plate	NOUN
m-815	196	34	,	,	PUNCT
m-815	196	35	math	math	NOUN
m-815	196	36	.	.	PUNCT
m-815	197	1	probl	probl	PROPN
m-815	197	2	.	.	PUNCT
m-815	198	1	eng	eng	PROPN
m-815	198	2	.	.	PROPN
m-815	198	3	18	18	NUM
m-815	198	4	(	(	PUNCT
m-815	198	5	2010	2010	NUM
m-815	198	6	)	)	PUNCT
m-815	198	7	,	,	PUNCT
m-815	198	8	706840	706840	NUM
m-815	198	9	.	.	PUNCT
m-815	199	1	ijo	ijo	PROPN
m-815	199	2	journals	journal	NOUN
m-815	199	3	volume	volume	NOUN
m-815	199	4	07	07	NUM
m-815	199	5	|	|	NOUN
m-815	199	6	issue	issue	NOUN
m-815	199	7	03	03	NUM
m-815	200	1	|	|	ADV
m-815	200	2	march	march	PROPN
m-815	200	3	2024	2024	NUM
m-815	201	1	|	|	ADV
m-815	201	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-815	201	3	13	13	NUM
m-815	201	4	ijo	ijo	PROPN
m-815	201	5	international	international	PROPN
m-815	201	6	journal	journal	PROPN
m-815	201	7	of	of	ADP
m-815	201	8	mathematics	mathematics	PROPN
m-815	201	9	(	(	PUNCT
m-815	201	10	issn	issn	PROPN
m-815	201	11	:	:	PUNCT
m-815	201	12	2992	2992	NUM
m-815	201	13	-	-	SYM
m-815	201	14	4421	4421	NUM
m-815	201	15	)	)	PUNCT
m-815	201	16	venuprasad	venuprasad	PROPN
m-815	201	17	k.	k.	X
m-815	202	1	k.1	k.1	PROPN
m-815	203	1	*	*	PUNCT
m-815	203	2	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-815	203	3	volume	volume	NOUN
m-815	203	4	07	07	NUM
m-815	203	5	issue	issue	NOUN
m-815	203	6	03	03	NUM
m-815	203	7	||	||	NUM
m-815	203	8	march	march	NOUN
m-815	203	9	,	,	PUNCT
m-815	203	10	2024	2024	NUM
m-815	203	11	||	||	NOUN
m-815	203	12	mathematical	mathematical	ADJ
m-815	203	13	study	study	NOUN
m-815	203	14	of	of	ADP
m-815	203	15	mhd	mhd	PROPN
m-815	203	16	convective	convective	ADJ
m-815	203	17	flow	flow	NOUN
m-815	203	18	with	with	ADP
m-815	203	19	chemical	chemical	ADJ
m-815	203	20	reaction	reaction	NOUN
m-815	203	21	through	through	ADP
m-815	203	22	a	a	DET
m-815	203	23	porous	porous	ADJ
m-815	203	24	medium	medium	NOUN
m-815	203	25	in	in	ADP
m-815	203	26	a	a	DET
m-815	203	27	vertical	vertical	ADJ
m-815	203	28	wavy	wavy	ADJ
m-815	203	29	channel	channel	NOUN
m-815	204	1	[	[	X
m-815	204	2	3	3	NUM
m-815	204	3	]	]	PUNCT
m-815	204	4	.	.	PUNCT
m-815	205	1	hayat	hayat	PROPN
m-815	205	2	,	,	PUNCT
m-815	205	3	m.	m.	NOUN
m-815	205	4	qasim	qasim	PROPN
m-815	205	5	,	,	PUNCT
m-815	205	6	s.a	s.a	PROPN
m-815	205	7	.	.	PROPN
m-815	205	8	shehzad	shehzad	PROPN
m-815	205	9	,	,	PUNCT
m-815	205	10	a.	a.	PROPN
m-815	205	11	alsaedi	alsaedi	PROPN
m-815	205	12	,	,	PUNCT
m-815	205	13	unsteady	unsteady	ADJ
m-815	205	14	stagnation	stagnation	NOUN
m-815	205	15	point	point	NOUN
m-815	205	16	flow	flow	NOUN
m-815	205	17	of	of	ADP
m-815	205	18	second	second	ADJ
m-815	205	19	grade	grade	NOUN
m-815	205	20	fluid	fluid	NOUN
m-815	205	21	with	with	ADP
m-815	205	22	variable	variable	ADJ
m-815	205	23	free	free	ADJ
m-815	205	24	stream	stream	NOUN
m-815	205	25	,	,	PUNCT
m-815	205	26	alexandria	alexandria	PROPN
m-815	205	27	eng	eng	PROPN
m-815	205	28	.	.	PUNCT
m-815	206	1	j.	j.	PROPN
m-815	206	2	53	53	NUM
m-815	206	3	(	(	PUNCT
m-815	206	4	2014	2014	NUM
m-815	206	5	)	)	PUNCT
m-815	206	6	455–461	455–461	NUM
m-815	206	7	.	.	PUNCT
m-815	207	1	[	[	X
m-815	207	2	4].j	4].j	NUM
m-815	207	3	.	.	PUNCT
m-815	208	1	hartmann	hartmann	PROPN
m-815	208	2	,	,	PUNCT
m-815	208	3	hg	hg	NOUN
m-815	208	4	-	-	NOUN
m-815	208	5	dynamics	dynamic	NOUN
m-815	208	6	i	i	PRON
m-815	208	7	theory	theory	NOUN
m-815	208	8	of	of	ADP
m-815	208	9	the	the	DET
m-815	208	10	laminar	laminar	ADJ
m-815	208	11	flow	flow	NOUN
m-815	208	12	of	of	ADP
m-815	208	13	an	an	DET
m-815	208	14	electrically	electrically	ADV
m-815	208	15	conductive	conductive	ADJ
m-815	208	16	liquid	liquid	NOUN
m-815	208	17	in	in	ADP
m-815	208	18	a	a	DET
m-815	208	19	homogenous	homogenous	ADJ
m-815	208	20	magnetic	magnetic	ADJ
m-815	208	21	field	field	NOUN
m-815	208	22	,	,	PUNCT
m-815	208	23	det	det	PROPN
m-815	208	24	kongelige	kongelige	PROPN
m-815	208	25	danske	danske	PROPN
m-815	208	26	videnskabernes	videnskaberne	NOUN
m-815	208	27	selskab	selskab	NOUN
m-815	208	28	mathematisk	mathematisk	NOUN
m-815	208	29	-	-	PUNCT
m-815	208	30	fysiske	fysiske	NOUN
m-815	208	31	meddelser	meddelser	NOUN
m-815	208	32	15	15	NUM
m-815	208	33	(	(	PUNCT
m-815	208	34	1937	1937	NUM
m-815	208	35	)	)	PUNCT
m-815	208	36	1–27	1–27	NUM
m-815	208	37	.	.	PUNCT
m-815	209	1	[	[	X
m-815	209	2	5	5	NUM
m-815	209	3	]	]	SYM
m-815	209	4	v.v.s	v.v.s	NOUN
m-815	209	5	.	.	PUNCT
m-815	209	6	murty	murty	PROPN
m-815	209	7	,	,	PUNCT
m-815	209	8	a.	a.	NOUN
m-815	209	9	gupta	gupta	PROPN
m-815	209	10	,	,	PUNCT
m-815	209	11	n.	n.	NOUN
m-815	209	12	mandloi	mandloi	PROPN
m-815	209	13	,	,	PUNCT
m-815	209	14	a.	a.	NOUN
m-815	209	15	shukla	shukla	NOUN
m-815	209	16	,	,	PUNCT
m-815	209	17	evaluation	evaluation	NOUN
m-815	209	18	of	of	ADP
m-815	209	19	thermal	thermal	ADJ
m-815	209	20	performance	performance	NOUN
m-815	209	21	of	of	ADP
m-815	209	22	heat	heat	NOUN
m-815	209	23	exchanger	exchanger	NOUN
m-815	209	24	unit	unit	NOUN
m-815	209	25	for	for	ADP
m-815	209	26	parabolic	parabolic	ADJ
m-815	209	27	solar	solar	ADJ
m-815	209	28	cooker	cooker	NOUN
m-815	209	29	for	for	ADP
m-815	209	30	off	off	ADP
m-815	209	31	-	-	PUNCT
m-815	209	32	place	place	NOUN
m-815	209	33	cooking	cooking	NOUN
m-815	209	34	,	,	PUNCT
m-815	209	35	indian	indian	ADJ
m-815	209	36	j.	j.	PROPN
m-815	209	37	pure	pure	PROPN
m-815	209	38	appl	appl	PROPN
m-815	209	39	.	.	PUNCT
m-815	210	1	phys	phy	NOUN
m-815	210	2	.	.	PUNCT
m-815	211	1	45	45	NUM
m-815	211	2	(	(	PUNCT
m-815	211	3	2007	2007	NUM
m-815	211	4	)	)	PUNCT
m-815	211	5	745–748	745–748	NUM
m-815	211	6	.	.	PUNCT
m-815	212	1	[	[	X
m-815	212	2	6]m.v	6]m.v	NUM
m-815	212	3	.	.	PUNCT
m-815	213	1	krishna	krishna	PROPN
m-815	213	2	,	,	PUNCT
m-815	213	3	a.j	a.j	PROPN
m-815	213	4	.	.	PROPN
m-815	213	5	chamkha	chamkha	PROPN
m-815	213	6	,	,	PUNCT
m-815	213	7	hall	hall	NOUN
m-815	213	8	and	and	CCONJ
m-815	213	9	ion	ion	NOUN
m-815	213	10	slip	slip	NOUN
m-815	213	11	effects	effect	NOUN
m-815	213	12	on	on	ADP
m-815	213	13	mhd	mhd	NOUN
m-815	213	14	rotating	rotate	VERB
m-815	213	15	boundary	boundary	ADJ
m-815	213	16	layer	layer	NOUN
m-815	213	17	flow	flow	NOUN
m-815	213	18	of	of	ADP
m-815	213	19	nanofluid	nanofluid	PROPN
m-815	213	20	past	past	ADP
m-815	213	21	an	an	DET
m-815	213	22	infinite	infinite	ADJ
m-815	213	23	vertical	vertical	ADJ
m-815	213	24	plate	plate	NOUN
m-815	213	25	embedded	embed	VERB
m-815	213	26	in	in	ADP
m-815	213	27	a	a	DET
m-815	213	28	porous	porous	ADJ
m-815	213	29	medium	medium	NOUN
m-815	213	30	,	,	PUNCT
m-815	213	31	results	result	NOUN
m-815	213	32	in	in	ADP
m-815	213	33	physics	physics	NOUN
m-815	213	34	15	15	NUM
m-815	213	35	(	(	PUNCT
m-815	213	36	2019	2019	NUM
m-815	213	37	)	)	PUNCT
m-815	213	38	,	,	PUNCT
m-815	213	39	102652	102652	NUM
m-815	213	40	,	,	PUNCT
m-815	213	41	https://doi.org/10.1016/j	https://doi.org/10.1016/j	NOUN
m-815	213	42	.	.	PUNCT
m-815	214	1	rinp.2019.102652	rinp.2019.102652	VERB
m-815	214	2	.	.	PUNCT
m-815	215	1	[	[	X
m-815	215	2	7	7	X
m-815	215	3	]	]	X
m-815	215	4	m.v	m.v	PROPN
m-815	215	5	.	.	PROPN
m-815	215	6	krishna	krishna	PROPN
m-815	215	7	,	,	PUNCT
m-815	215	8	g.s	g.s	PROPN
m-815	215	9	.	.	PROPN
m-815	215	10	reddy	reddy	PROPN
m-815	215	11	,	,	PUNCT
m-815	215	12	a.j	a.j	PROPN
m-815	215	13	.	.	PROPN
m-815	215	14	chamkha	chamkha	PROPN
m-815	215	15	,	,	PUNCT
m-815	215	16	hall	hall	NOUN
m-815	215	17	effects	effect	NOUN
m-815	215	18	on	on	ADP
m-815	215	19	unsteady	unsteady	ADJ
m-815	215	20	mhd	mhd	NOUN
m-815	215	21	oscillatory	oscillatory	ADJ
m-815	215	22	free	free	ADJ
m-815	215	23	convective	convective	ADJ
m-815	215	24	flow	flow	NOUN
m-815	215	25	of	of	ADP
m-815	215	26	second	second	ADJ
m-815	215	27	grade	grade	NOUN
m-815	215	28	fluid	fluid	NOUN
m-815	215	29	through	through	ADP
m-815	215	30	porous	porous	ADJ
m-815	215	31	medium	medium	NOUN
m-815	215	32	between	between	ADP
m-815	215	33	two	two	NUM
m-815	215	34	vertical	vertical	ADJ
m-815	215	35	plates	plate	NOUN
m-815	215	36	,	,	PUNCT
m-815	215	37	physics	physics	NOUN
m-815	215	38	of	of	ADP
m-815	215	39	fluids	fluid	NOUN
m-815	215	40	30	30	NUM
m-815	215	41	(	(	PUNCT
m-815	215	42	2018	2018	NUM
m-815	215	43	)	)	PUNCT
m-815	215	44	,	,	PUNCT
m-815	215	45	023106	023106	NUM
m-815	215	46	,	,	PUNCT
m-815	215	47	https://doi.org/10.1063/	https://doi.org/10.1063/	PROPN
m-815	215	48	1.5010863	1.5010863	NUM
m-815	215	49	.	.	PUNCT
m-815	216	1	[	[	X
m-815	216	2	8	8	NUM
m-815	216	3	]	]	X
m-815	216	4	m.v	m.v	PROPN
m-815	216	5	.	.	PROPN
m-815	216	6	krishna	krishna	PROPN
m-815	216	7	,	,	PUNCT
m-815	216	8	m.v	m.v	PROPN
m-815	216	9	.	.	PROPN
m-815	216	10	chamkha	chamkha	PROPN
m-815	216	11	,	,	PUNCT
m-815	216	12	hall	hall	NOUN
m-815	216	13	effects	effect	NOUN
m-815	216	14	on	on	ADP
m-815	216	15	unsteady	unsteady	ADJ
m-815	216	16	mhd	mhd	NOUN
m-815	216	17	flow	flow	NOUN
m-815	216	18	of	of	ADP
m-815	216	19	second	second	ADJ
m-815	216	20	grade	grade	NOUN
m-815	216	21	fluid	fluid	NOUN
m-815	216	22	through	through	ADP
m-815	216	23	porous	porous	ADJ
m-815	216	24	medium	medium	NOUN
m-815	216	25	with	with	ADP
m-815	216	26	ramped	ramp	VERB
m-815	216	27	wall	wall	NOUN
m-815	216	28	temperature	temperature	NOUN
m-815	216	29	and	and	CCONJ
m-815	216	30	ramped	ramp	VERB
m-815	216	31	surface	surface	NOUN
m-815	216	32	concentration	concentration	NOUN
m-815	216	33	,	,	PUNCT
m-815	216	34	physics	physics	NOUN
m-815	216	35	of	of	ADP
m-815	216	36	fluids	fluid	NOUN
m-815	216	37	30	30	NUM
m-815	216	38	(	(	PUNCT
m-815	216	39	2018	2018	NUM
m-815	216	40	)	)	PUNCT
m-815	216	41	,	,	PUNCT
m-815	216	42	053101	053101	NUM
m-815	216	43	,	,	PUNCT
m-815	216	44	https://doi.org/10.1063/	https://doi.org/10.1063/	PROPN
m-815	216	45	1.5025542	1.5025542	NUM
m-815	216	46	.	.	PUNCT
m-815	217	1	[	[	X
m-815	217	2	9	9	NUM
m-815	217	3	]	]	X
m-815	217	4	tahkar	tahkar	PROPN
m-815	217	5	hs	hs	PROPN
m-815	217	6	,	,	PUNCT
m-815	217	7	gorla	gorla	PROPN
m-815	217	8	sr	sr	PROPN
m-815	217	9	and	and	CCONJ
m-815	217	10	soundalgekar	soundalgekar	PROPN
m-815	217	11	vm	vm	PROPN
m-815	217	12	.	.	PROPN
m-815	217	13	short	short	PROPN
m-815	217	14	commu	commu	PROPN
m-815	217	15	-	-	PUNCT
m-815	217	16	nication	nication	NOUN
m-815	217	17	radiation	radiation	NOUN
m-815	217	18	effects	effect	NOUN
m-815	217	19	on	on	ADP
m-815	217	20	mhd	mhd	NOUN
m-815	217	21	free	free	ADJ
m-815	217	22	convection	convection	NOUN
m-815	217	23	flow	flow	NOUN
m-815	217	24	of	of	ADP
m-815	217	25	a	a	DET
m-815	217	26	gas	gas	NOUN
m-815	217	27	past	past	ADP
m-815	217	28	a	a	DET
m-815	217	29	semi	semi	ADJ
m-815	217	30	-	-	ADJ
m-815	217	31	infinite	infinite	ADJ
m-815	217	32	vertical	vertical	ADJ
m-815	217	33	plate	plate	NOUN
m-815	217	34	.	.	PUNCT
m-815	218	1	int	int	PROPN
m-815	219	1	j	j	PROPN
m-815	219	2	numer	numer	PROPN
m-815	219	3	methods	method	NOUN
m-815	219	4	heat	heat	NOUN
m-815	219	5	fluid	fluid	NOUN
m-815	219	6	flow	flow	NOUN
m-815	219	7	1996	1996	NUM
m-815	219	8	;	;	PUNCT
m-815	219	9	6	6	NUM
m-815	219	10	:	:	SYM
m-815	219	11	77–83	77–83	NUM
m-815	219	12	.	.	PUNCT
m-815	220	1	[	[	X
m-815	220	2	10]hossain	10]hossain	NUM
m-815	220	3	am	be	AUX
m-815	220	4	,	,	PUNCT
m-815	220	5	alim	alim	PROPN
m-815	220	6	ma	ma	PROPN
m-815	220	7	and	and	CCONJ
m-815	220	8	rees	rees	PROPN
m-815	220	9	das	das	PROPN
m-815	220	10	.	.	PUNCT
m-815	221	1	the	the	DET
m-815	221	2	effect	effect	NOUN
m-815	221	3	of	of	ADP
m-815	221	4	radi	radi	NOUN
m-815	221	5	ation	ation	NOUN
m-815	221	6	on	on	ADP
m-815	221	7	free	free	ADJ
m-815	221	8	convection	convection	NOUN
m-815	221	9	from	from	ADP
m-815	221	10	a	a	DET
m-815	221	11	porous	porous	ADJ
m-815	221	12	vertical	vertical	ADJ
m-815	221	13	plate	plate	NOUN
m-815	221	14	.	.	PUNCT
m-815	222	1	int	int	NOUN
m-815	222	2	j	j	PROPN
m-815	222	3	heat	heat	PROPN
m-815	222	4	mass	mass	PROPN
m-815	222	5	transf	transf	PROPN
m-815	222	6	1999	1999	NUM
m-815	222	7	;	;	PUNCT
m-815	222	8	42	42	NUM
m-815	222	9	:	:	PUNCT
m-815	222	10	181–191	181–191	NUM
m-815	222	11	.	.	PUNCT
m-815	223	1	[	[	X
m-815	223	2	11	11	NUM
m-815	223	3	]	]	SYM
m-815	223	4	muthucumarswamy	muthucumarswamy	NOUN
m-815	223	5	r	r	NOUN
m-815	223	6	and	and	CCONJ
m-815	223	7	kumar	kumar	PROPN
m-815	223	8	gs	gs	PROPN
m-815	223	9	.	.	PROPN
m-815	223	10	heat	heat	PROPN
m-815	223	11	and	and	CCONJ
m-815	223	12	mass	mass	NOUN
m-815	223	13	transfer	transfer	NOUN
m-815	223	14	effects	effect	NOUN
m-815	223	15	on	on	ADP
m-815	223	16	moving	move	VERB
m-815	223	17	vertical	vertical	ADJ
m-815	223	18	plate	plate	NOUN
m-815	223	19	in	in	ADP
m-815	223	20	the	the	DET
m-815	223	21	presence	presence	NOUN
m-815	223	22	of	of	ADP
m-815	223	23	thermal	thermal	ADJ
m-815	223	24	radiation	radiation	NOUN
m-815	223	25	.	.	PUNCT
m-815	224	1	theoret	theoret	VERB
m-815	224	2	appl	appl	PROPN
m-815	224	3	mach	mach	PROPN
m-815	224	4	2004	2004	NUM
m-815	224	5	;	;	PUNCT
m-815	224	6	31	31	NUM
m-815	224	7	:	:	PUNCT
m-815	224	8	35–46	35–46	NUM
m-815	224	9	.	.	PUNCT
m-815	225	1	ijo	ijo	PROPN
m-815	225	2	journals	journal	NOUN
m-815	225	3	volume	volume	NOUN
m-815	225	4	07	07	NUM
m-815	225	5	|	|	NOUN
m-815	225	6	issue	issue	NOUN
m-815	225	7	03	03	NUM
m-815	226	1	|	|	ADV
m-815	226	2	march	march	PROPN
m-815	226	3	2024	2024	NUM
m-815	227	1	|	|	ADV
m-815	227	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-815	227	3	14	14	NUM