id	sid	tid	token	lemma	pos
m-930	1	1	ijo	ijo	PROPN
m-930	1	2	international	international	PROPN
m-930	1	3	journal	journal	PROPN
m-930	1	4	of	of	ADP
m-930	1	5	mathematics	mathematics	PROPN
m-930	1	6	(	(	PUNCT
m-930	1	7	issn	issn	PROPN
m-930	1	8	:	:	PUNCT
m-930	1	9	2992	2992	NUM
m-930	1	10	-	-	SYM
m-930	1	11	4421	4421	NUM
m-930	1	12	)	)	PUNCT
m-930	2	1	*	*	PUNCT
m-930	2	2	1	1	NUM
m-930	2	3	obi	obi	NOUN
m-930	2	4	,	,	PUNCT
m-930	2	5	boniface	boniface	NOUN
m-930	2	6	inalu	inalu	NOUN
m-930	2	7	*	*	PUNCT
m-930	2	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	2	9	volume	volume	NOUN
m-930	2	10	07	07	NUM
m-930	2	11	||	||	NOUN
m-930	2	12	issue	issue	NOUN
m-930	2	13	09	09	NUM
m-930	2	14	||	||	NOUN
m-930	2	15	september	september	PROPN
m-930	2	16	,	,	PUNCT
m-930	2	17	2024	2024	NUM
m-930	2	18	||	||	NUM
m-930	2	19	“	"	PUNCT
m-930	2	20	analytical	analytical	ADJ
m-930	2	21	study	study	NOUN
m-930	2	22	of	of	ADP
m-930	2	23	incompressible	incompressible	ADJ
m-930	2	24	mhd	mhd	PROPN
m-930	2	25	non	non	ADJ
m-930	2	26	-	-	ADJ
m-930	2	27	newtonian	newtonian	ADJ
m-930	2	28	fluid	fluid	NOUN
m-930	2	29	in	in	ADP
m-930	2	30	cylindrical	cylindrical	ADJ
m-930	2	31	pipe	pipe	NOUN
m-930	2	32	with	with	ADP
m-930	2	33	isothermal	isothermal	ADJ
m-930	2	34	wall	wall	NOUN
m-930	2	35	and	and	CCONJ
m-930	2	36	temperature	temperature	NOUN
m-930	2	37	-	-	PUNCT
m-930	2	38	dependent	dependent	ADJ
m-930	2	39	viscosity	viscosity	NOUN
m-930	2	40	"	"	PUNCT
m-930	2	41	analytical	analytical	ADJ
m-930	2	42	study	study	NOUN
m-930	2	43	of	of	ADP
m-930	2	44	incompressible	incompressible	ADJ
m-930	2	45	mhd	mhd	PROPN
m-930	2	46	non	non	ADJ
m-930	2	47	-	-	ADJ
m-930	2	48	newtonian	newtonian	ADJ
m-930	2	49	fluid	fluid	NOUN
m-930	2	50	in	in	ADP
m-930	2	51	cylindrical	cylindrical	ADJ
m-930	2	52	pipe	pipe	NOUN
m-930	2	53	with	with	ADP
m-930	2	54	isothermal	isothermal	ADJ
m-930	2	55	wall	wall	NOUN
m-930	2	56	and	and	CCONJ
m-930	2	57	temperature	temperature	NOUN
m-930	2	58	-	-	PUNCT
m-930	2	59	dependent	dependent	ADJ
m-930	2	60	viscosity	viscosity	NOUN
m-930	2	61	*	*	SYM
m-930	2	62	1obi	1obi	NUM
m-930	2	63	,	,	PUNCT
m-930	2	64	boniface	boniface	NOUN
m-930	2	65	inalu	inalu	PROPN
m-930	2	66	2ohaegbulem	2ohaegbulem	PROPN
m-930	2	67	,	,	PUNCT
m-930	2	68	emmanuel	emmanuel	PROPN
m-930	2	69	uchenna	uchenna	PROPN
m-930	2	70	1department	1department	NUM
m-930	2	71	of	of	ADP
m-930	2	72	mathematics	mathematic	NOUN
m-930	2	73	,	,	PUNCT
m-930	2	74	faculty	faculty	NOUN
m-930	2	75	of	of	ADP
m-930	2	76	physical	physical	ADJ
m-930	2	77	sciences	science	NOUN
m-930	2	78	,	,	PUNCT
m-930	2	79	imo	imo	PROPN
m-930	2	80	state	state	PROPN
m-930	2	81	university	university	PROPN
m-930	2	82	,	,	PUNCT
m-930	2	83	owerri	owerri	PROPN
m-930	2	84	,	,	PUNCT
m-930	2	85	nigeria	nigeria	PROPN
m-930	2	86	.	.	PUNCT
m-930	3	1	2department	2department	NUM
m-930	3	2	of	of	ADP
m-930	3	3	statistics	statistic	NOUN
m-930	3	4	,	,	PUNCT
m-930	3	5	faculty	faculty	NOUN
m-930	3	6	of	of	ADP
m-930	3	7	physical	physical	ADJ
m-930	3	8	sciences	science	NOUN
m-930	3	9	,	,	PUNCT
m-930	3	10	imo	imo	PROPN
m-930	3	11	state	state	PROPN
m-930	3	12	university	university	PROPN
m-930	3	13	,	,	PUNCT
m-930	3	14	owerri	owerri	PROPN
m-930	3	15	,	,	PUNCT
m-930	3	16	nigeria	nigeria	PROPN
m-930	3	17	.	.	PUNCT
m-930	4	1	corresponding	corresponde	VERB
m-930	4	2	author	author	NOUN
m-930	4	3	*	*	NOUN
m-930	4	4	1obi	1obi	PROPN
m-930	4	5	,	,	PUNCT
m-930	4	6	boniface	boniface	NOUN
m-930	4	7	inalu	inalu	PROPN
m-930	4	8	abstract	abstract	PROPN
m-930	4	9	:	:	PUNCT
m-930	4	10	in	in	ADP
m-930	4	11	this	this	DET
m-930	4	12	research	research	NOUN
m-930	4	13	,	,	PUNCT
m-930	4	14	analytical	analytical	ADJ
m-930	4	15	study	study	NOUN
m-930	4	16	of	of	ADP
m-930	4	17	incompressible	incompressible	ADJ
m-930	4	18	mhd	mhd	PROPN
m-930	4	19	non	non	ADJ
m-930	4	20	-	-	ADJ
m-930	4	21	newtonian	newtonian	ADJ
m-930	4	22	fluid	fluid	NOUN
m-930	4	23	in	in	ADP
m-930	4	24	cylindrical	cylindrical	ADJ
m-930	4	25	pipe	pipe	NOUN
m-930	4	26	with	with	ADP
m-930	4	27	isothermal	isothermal	ADJ
m-930	4	28	wall	wall	NOUN
m-930	4	29	and	and	CCONJ
m-930	4	30	temperature	temperature	NOUN
m-930	4	31	-	-	PUNCT
m-930	4	32	dependent	dependent	ADJ
m-930	4	33	viscosity	viscosity	NOUN
m-930	4	34	is	be	AUX
m-930	4	35	examined	examine	VERB
m-930	4	36	.	.	PUNCT
m-930	5	1	the	the	DET
m-930	5	2	coupled	couple	VERB
m-930	5	3	nonlinear	nonlinear	ADJ
m-930	5	4	momentum	momentum	NOUN
m-930	5	5	and	and	CCONJ
m-930	5	6	energy	energy	NOUN
m-930	5	7	equations	equation	NOUN
m-930	5	8	were	be	AUX
m-930	5	9	solved	solve	VERB
m-930	5	10	using	use	VERB
m-930	5	11	the	the	DET
m-930	5	12	traditional	traditional	ADJ
m-930	5	13	regular	regular	ADJ
m-930	5	14	perturbation	perturbation	NOUN
m-930	5	15	technique	technique	NOUN
m-930	5	16	.	.	PUNCT
m-930	6	1	vogel	vogel	PROPN
m-930	6	2	’s	’s	PART
m-930	6	3	model	model	NOUN
m-930	6	4	viscosity	viscosity	NOUN
m-930	6	5	is	be	AUX
m-930	6	6	introduced	introduce	VERB
m-930	6	7	to	to	PART
m-930	6	8	account	account	VERB
m-930	6	9	for	for	ADP
m-930	6	10	the	the	DET
m-930	6	11	temperature	temperature	NOUN
m-930	6	12	-	-	PUNCT
m-930	6	13	dependent	dependent	ADJ
m-930	6	14	viscosity	viscosity	NOUN
m-930	6	15	,	,	PUNCT
m-930	6	16	while	while	SCONJ
m-930	6	17	the	the	DET
m-930	6	18	third	third	ADJ
m-930	6	19	grade	grade	NOUN
m-930	6	20	fluid	fluid	NOUN
m-930	6	21	is	be	AUX
m-930	6	22	accommodated	accommodate	VERB
m-930	6	23	to	to	PART
m-930	6	24	model	model	VERB
m-930	6	25	the	the	DET
m-930	6	26	non	non	ADJ
m-930	6	27	-	-	ADJ
m-930	6	28	newtonian	newtonian	ADJ
m-930	6	29	fluid	fluid	ADJ
m-930	6	30	feature	feature	NOUN
m-930	6	31	.	.	PUNCT
m-930	7	1	it	it	PRON
m-930	7	2	is	be	AUX
m-930	7	3	observed	observe	VERB
m-930	7	4	that	that	SCONJ
m-930	7	5	the	the	DET
m-930	7	6	third	third	ADJ
m-930	7	7	grade	grade	NOUN
m-930	7	8	and	and	CCONJ
m-930	7	9	the	the	DET
m-930	7	10	magnetic	magnetic	ADJ
m-930	7	11	field	field	NOUN
m-930	7	12	parameters	parameter	NOUN
m-930	7	13	reduces	reduce	VERB
m-930	7	14	the	the	DET
m-930	7	15	velocity	velocity	NOUN
m-930	7	16	profiles	profile	NOUN
m-930	7	17	and	and	CCONJ
m-930	7	18	increases	increase	VERB
m-930	7	19	the	the	DET
m-930	7	20	temperature	temperature	NOUN
m-930	7	21	profiles	profile	NOUN
m-930	7	22	when	when	SCONJ
m-930	7	23	increased	increase	VERB
m-930	7	24	at	at	ADP
m-930	7	25	a	a	DET
m-930	7	26	steady	steady	ADJ
m-930	7	27	rate	rate	NOUN
m-930	7	28	within	within	ADP
m-930	7	29	the	the	DET
m-930	7	30	constant	constant	ADJ
m-930	7	31	viscosity	viscosity	NOUN
m-930	7	32	index	index	NOUN
m-930	7	33	but	but	CCONJ
m-930	7	34	increases	increase	VERB
m-930	7	35	the	the	DET
m-930	7	36	velocity	velocity	NOUN
m-930	7	37	and	and	CCONJ
m-930	7	38	the	the	DET
m-930	7	39	temperature	temperature	NOUN
m-930	7	40	profiles	profile	NOUN
m-930	7	41	when	when	SCONJ
m-930	7	42	subjected	subject	VERB
m-930	7	43	to	to	ADP
m-930	7	44	the	the	DET
m-930	7	45	vogel	vogel	NOUN
m-930	7	46	model	model	NOUN
m-930	7	47	.	.	PUNCT
m-930	8	1	meanwhile	meanwhile	ADV
m-930	8	2	the	the	DET
m-930	8	3	eckert	eckert	PROPN
m-930	8	4	parameter	parameter	NOUN
m-930	8	5	is	be	AUX
m-930	8	6	observed	observe	VERB
m-930	8	7	to	to	PART
m-930	8	8	enhance	enhance	VERB
m-930	8	9	the	the	DET
m-930	8	10	temperature	temperature	NOUN
m-930	8	11	near	near	ADP
m-930	8	12	the	the	DET
m-930	8	13	walls	wall	NOUN
m-930	8	14	of	of	ADP
m-930	8	15	cylindrical	cylindrical	ADJ
m-930	8	16	pipe	pipe	NOUN
m-930	8	17	.	.	PUNCT
m-930	9	1	keywords	keyword	NOUN
m-930	9	2	:	:	PUNCT
m-930	9	3	viscosity	viscosity	NOUN
m-930	9	4	,	,	PUNCT
m-930	9	5	non	non	ADJ
m-930	9	6	-	-	ADJ
m-930	9	7	newtonian	newtonian	ADJ
m-930	9	8	,	,	PUNCT
m-930	9	9	mhd	mhd	NOUN
m-930	9	10	,	,	PUNCT
m-930	9	11	isothermal	isothermal	ADJ
m-930	9	12	,	,	PUNCT
m-930	9	13	incompressible	incompressible	ADJ
m-930	9	14	,	,	PUNCT
m-930	9	15	1.0	1.0	NUM
m-930	9	16	introduction	introduction	NOUN
m-930	9	17	:	:	PUNCT
m-930	9	18	flow	flow	NOUN
m-930	9	19	of	of	ADP
m-930	9	20	an	an	DET
m-930	9	21	incompressible	incompressible	ADJ
m-930	9	22	mhd	mhd	NOUN
m-930	9	23	non	non	ADJ
m-930	9	24	-	-	ADJ
m-930	9	25	newtonian	newtonian	ADJ
m-930	9	26	fluid	fluid	NOUN
m-930	9	27	in	in	ADP
m-930	9	28	cylindrical	cylindrical	ADJ
m-930	9	29	pipe	pipe	NOUN
m-930	9	30	finds	find	VERB
m-930	9	31	application	application	NOUN
m-930	9	32	in	in	ADP
m-930	9	33	polymer	polymer	NOUN
m-930	9	34	industry	industry	NOUN
m-930	9	35	,	,	PUNCT
m-930	9	36	petroleum	petroleum	NOUN
m-930	9	37	industries	industry	NOUN
m-930	9	38	and	and	CCONJ
m-930	9	39	other	other	ADJ
m-930	9	40	types	type	NOUN
m-930	9	41	of	of	ADP
m-930	9	42	pulp	pulp	NOUN
m-930	9	43	industries.in	industries.in	NOUN
m-930	9	44	recent	recent	ADJ
m-930	9	45	years	year	NOUN
m-930	9	46	,	,	PUNCT
m-930	9	47	the	the	DET
m-930	9	48	non	non	ADJ
m-930	9	49	-	-	ADJ
m-930	9	50	newtonian	newtonian	ADJ
m-930	9	51	fluids	fluid	NOUN
m-930	9	52	have	have	AUX
m-930	9	53	become	become	VERB
m-930	9	54	very	very	ADV
m-930	9	55	much	much	ADV
m-930	9	56	important	important	ADJ
m-930	9	57	.	.	PUNCT
m-930	10	1	however	however	ADV
m-930	10	2	with	with	ADP
m-930	10	3	its	its	PRON
m-930	10	4	complexity	complexity	NOUN
m-930	10	5	,	,	PUNCT
m-930	10	6	it	it	PRON
m-930	10	7	is	be	AUX
m-930	10	8	difficult	difficult	ADJ
m-930	10	9	to	to	PART
m-930	10	10	suggest	suggest	VERB
m-930	10	11	a	a	DET
m-930	10	12	single	single	ADJ
m-930	10	13	model	model	NOUN
m-930	10	14	which	which	PRON
m-930	10	15	will	will	AUX
m-930	10	16	exhibit	exhibit	VERB
m-930	10	17	all	all	DET
m-930	10	18	the	the	DET
m-930	10	19	properties	property	NOUN
m-930	10	20	of	of	ADP
m-930	10	21	non	non	ADJ
m-930	10	22	-	-	ADJ
m-930	10	23	newtonian	newtonian	ADJ
m-930	10	24	fluids	fluid	NOUN
m-930	10	25	,	,	PUNCT
m-930	10	26	as	as	SCONJ
m-930	10	27	such	such	DET
m-930	10	28	various	various	ADJ
m-930	10	29	empirical	empirical	ADJ
m-930	10	30	and	and	CCONJ
m-930	10	31	semi	semi	ADV
m-930	10	32	empirical	empirical	ADJ
m-930	10	33	models	model	NOUN
m-930	10	34	have	have	AUX
m-930	10	35	been	be	AUX
m-930	10	36	put	put	VERB
m-930	10	37	forward	forward	ADV
m-930	10	38	.	.	PUNCT
m-930	11	1	meanwhile	meanwhile	ADV
m-930	11	2	,	,	PUNCT
m-930	11	3	for	for	ADP
m-930	11	4	lubricating	lubricate	VERB
m-930	11	5	fluids	fluid	NOUN
m-930	11	6	,	,	PUNCT
m-930	11	7	heat	heat	NOUN
m-930	11	8	generated	generate	VERB
m-930	11	9	by	by	ADP
m-930	11	10	internal	internal	ADJ
m-930	11	11	friction	friction	NOUN
m-930	11	12	and	and	CCONJ
m-930	11	13	the	the	DET
m-930	11	14	corresponding	corresponding	ADJ
m-930	11	15	rise	rise	NOUN
m-930	11	16	in	in	ADP
m-930	11	17	temperature	temperature	NOUN
m-930	11	18	affects	affect	VERB
m-930	11	19	the	the	DET
m-930	11	20	viscosity	viscosity	NOUN
m-930	11	21	of	of	ADP
m-930	11	22	the	the	DET
m-930	11	23	fluid	fluid	NOUN
m-930	11	24	and	and	CCONJ
m-930	11	25	so	so	ADV
m-930	11	26	the	the	DET
m-930	11	27	fluid	fluid	ADJ
m-930	11	28	viscosity	viscosity	NOUN
m-930	11	29	can	can	AUX
m-930	11	30	no	no	ADV
m-930	11	31	longer	long	ADV
m-930	11	32	be	be	AUX
m-930	11	33	assumed	assume	VERB
m-930	11	34	constant	constant	ADJ
m-930	11	35	.	.	PUNCT
m-930	12	1	non	non	ADJ
m-930	12	2	-	-	ADJ
m-930	12	3	newtonian	newtonian	ADJ
m-930	12	4	fluid	fluid	NOUN
m-930	12	5	can	can	AUX
m-930	12	6	be	be	AUX
m-930	12	7	classified	classify	VERB
m-930	12	8	mainly	mainly	ADV
m-930	12	9	into	into	ADP
m-930	12	10	two	two	NUM
m-930	12	11	groups	group	NOUN
m-930	12	12	such	such	ADJ
m-930	12	13	as	as	ADP
m-930	12	14	differential	differential	ADJ
m-930	12	15	type	type	NOUN
m-930	12	16	fluids	fluid	NOUN
m-930	12	17	and	and	CCONJ
m-930	12	18	rate	rate	NOUN
m-930	12	19	type	type	NOUN
m-930	12	20	fluids	fluid	NOUN
m-930	12	21	.	.	PUNCT
m-930	13	1	many	many	ADJ
m-930	13	2	researchers	researcher	NOUN
m-930	13	3	have	have	AUX
m-930	13	4	done	do	VERB
m-930	13	5	some	some	DET
m-930	13	6	work	work	NOUN
m-930	13	7	in	in	ADP
m-930	13	8	this	this	DET
m-930	13	9	area	area	NOUN
m-930	13	10	amongst	amongst	ADP
m-930	13	11	whom	whom	PRON
m-930	13	12	are	be	AUX
m-930	13	13	fosdick	fosdick	NOUN
m-930	13	14	and	and	CCONJ
m-930	13	15	rajagopal	rajagopal	NOUN
m-930	13	16	[	[	X
m-930	13	17	5	5	NUM
m-930	13	18	]	]	PUNCT
m-930	13	19	,	,	PUNCT
m-930	13	20	who	who	PRON
m-930	13	21	examined	examine	VERB
m-930	13	22	the	the	DET
m-930	13	23	thermodynamics	thermodynamic	NOUN
m-930	13	24	and	and	CCONJ
m-930	13	25	stability	stability	NOUN
m-930	13	26	of	of	ADP
m-930	13	27	fluids	fluid	NOUN
m-930	13	28	of	of	ADP
m-930	13	29	third	third	ADJ
m-930	13	30	grade	grade	NOUN
m-930	13	31	.	.	PUNCT
m-930	14	1	they	they	PRON
m-930	14	2	showed	show	VERB
m-930	14	3	restrictions	restriction	NOUN
m-930	14	4	on	on	ADP
m-930	14	5	the	the	DET
m-930	14	6	stress	stress	NOUN
m-930	14	7	constitutive	constitutive	ADJ
m-930	14	8	equation	equation	NOUN
m-930	14	9	.	.	PUNCT
m-930	15	1	they	they	PRON
m-930	15	2	were	be	AUX
m-930	15	3	concerned	concern	VERB
m-930	15	4	with	with	ADP
m-930	15	5	ijo	ijo	PROPN
m-930	15	6	journals	journal	NOUN
m-930	15	7	volume	volume	NOUN
m-930	15	8	07	07	NUM
m-930	15	9	|	|	NOUN
m-930	15	10	issue	issue	NOUN
m-930	15	11	09	09	NUM
m-930	16	1	|	|	ADV
m-930	16	2	september	september	PROPN
m-930	16	3	2024	2024	NUM
m-930	17	1	|	|	ADV
m-930	17	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	17	3	1	1	NUM
m-930	17	4	ijo	ijo	PROPN
m-930	17	5	international	international	ADJ
m-930	17	6	journal	journal	PROPN
m-930	17	7	of	of	ADP
m-930	17	8	mathematics	mathematics	PROPN
m-930	17	9	(	(	PUNCT
m-930	17	10	issn	issn	PROPN
m-930	17	11	:	:	PUNCT
m-930	17	12	2992	2992	NUM
m-930	17	13	-	-	SYM
m-930	17	14	4421	4421	NUM
m-930	17	15	)	)	PUNCT
m-930	18	1	*	*	PUNCT
m-930	18	2	1	1	NUM
m-930	18	3	obi	obi	NOUN
m-930	18	4	,	,	PUNCT
m-930	18	5	boniface	boniface	NOUN
m-930	18	6	inalu	inalu	NOUN
m-930	18	7	*	*	PUNCT
m-930	18	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	18	9	volume	volume	NOUN
m-930	18	10	07	07	NUM
m-930	18	11	||	||	NOUN
m-930	18	12	issue	issue	NOUN
m-930	18	13	09	09	NUM
m-930	18	14	||	||	NOUN
m-930	18	15	september	september	PROPN
m-930	18	16	,	,	PUNCT
m-930	18	17	2024	2024	NUM
m-930	18	18	||	||	NUM
m-930	18	19	“	"	PUNCT
m-930	18	20	analytical	analytical	ADJ
m-930	18	21	study	study	NOUN
m-930	18	22	of	of	ADP
m-930	18	23	incompressible	incompressible	ADJ
m-930	18	24	mhd	mhd	PROPN
m-930	18	25	non	non	ADJ
m-930	18	26	-	-	ADJ
m-930	18	27	newtonian	newtonian	ADJ
m-930	18	28	fluid	fluid	NOUN
m-930	18	29	in	in	ADP
m-930	18	30	cylindrical	cylindrical	ADJ
m-930	18	31	pipe	pipe	NOUN
m-930	18	32	with	with	ADP
m-930	18	33	isothermal	isothermal	ADJ
m-930	18	34	wall	wall	NOUN
m-930	18	35	and	and	CCONJ
m-930	18	36	temperature	temperature	NOUN
m-930	18	37	-	-	PUNCT
m-930	18	38	dependent	dependent	ADJ
m-930	18	39	viscosity	viscosity	NOUN
m-930	18	40	"	"	PUNCT
m-930	18	41	the	the	DET
m-930	18	42	relation	relation	NOUN
m-930	18	43	between	between	ADP
m-930	18	44	thermodynamics	thermodynamic	NOUN
m-930	18	45	and	and	CCONJ
m-930	18	46	stability	stability	NOUN
m-930	18	47	for	for	ADP
m-930	18	48	a	a	DET
m-930	18	49	class	class	NOUN
m-930	18	50	of	of	ADP
m-930	18	51	non	non	ADJ
m-930	18	52	-	-	ADJ
m-930	18	53	newtonian	newtonian	ADJ
m-930	18	54	incompressible	incompressible	ADJ
m-930	18	55	fluids	fluid	NOUN
m-930	18	56	of	of	ADP
m-930	18	57	the	the	DET
m-930	18	58	differential	differential	ADJ
m-930	18	59	type	type	NOUN
m-930	18	60	.	.	PUNCT
m-930	19	1	they	they	PRON
m-930	19	2	gave	give	VERB
m-930	19	3	detailed	detailed	ADJ
m-930	19	4	attention	attention	NOUN
m-930	19	5	to	to	ADP
m-930	19	6	the	the	DET
m-930	19	7	special	special	ADJ
m-930	19	8	case	case	NOUN
m-930	19	9	of	of	ADP
m-930	19	10	fluids	fluid	NOUN
m-930	19	11	of	of	ADP
m-930	19	12	grade	grade	NOUN
m-930	19	13	3	3	NUM
m-930	19	14	and	and	CCONJ
m-930	19	15	arrived	arrive	VERB
m-930	19	16	at	at	ADP
m-930	19	17	fundamental	fundamental	ADJ
m-930	19	18	inequalities	inequality	NOUN
m-930	19	19	which	which	PRON
m-930	19	20	restricts	restrict	VERB
m-930	19	21	its	its	PRON
m-930	19	22	temperature	temperature	NOUN
m-930	19	23	dependent	dependent	ADJ
m-930	19	24	.	.	PUNCT
m-930	20	1	they	they	PRON
m-930	20	2	discovered	discover	VERB
m-930	20	3	that	that	SCONJ
m-930	20	4	these	these	DET
m-930	20	5	inequalities	inequality	NOUN
m-930	20	6	requires	require	VERB
m-930	20	7	that	that	SCONJ
m-930	20	8	a	a	DET
m-930	20	9	body	body	NOUN
m-930	20	10	of	of	ADP
m-930	20	11	such	such	ADJ
m-930	20	12	fluid	fluid	NOUN
m-930	20	13	be	be	AUX
m-930	20	14	stable	stable	ADJ
m-930	20	15	in	in	ADP
m-930	20	16	the	the	DET
m-930	20	17	sense	sense	NOUN
m-930	20	18	that	that	SCONJ
m-930	20	19	its	its	PRON
m-930	20	20	total	total	ADJ
m-930	20	21	kinetic	kinetic	ADJ
m-930	20	22	energy	energy	NOUN
m-930	20	23	must	must	AUX
m-930	20	24	tend	tend	VERB
m-930	20	25	to	to	PART
m-930	20	26	zero	zero	NUM
m-930	20	27	in	in	ADP
m-930	20	28	time	time	NOUN
m-930	20	29	,	,	PUNCT
m-930	20	30	no	no	ADV
m-930	20	31	matter	matter	ADV
m-930	20	32	what	what	PRON
m-930	20	33	its	its	PRON
m-930	20	34	previous	previous	ADJ
m-930	20	35	mechanical	mechanical	ADJ
m-930	20	36	and	and	CCONJ
m-930	20	37	thermal	thermal	ADJ
m-930	20	38	fields	field	NOUN
m-930	20	39	,	,	PUNCT
m-930	20	40	provided	provide	VERB
m-930	20	41	it	it	PRON
m-930	20	42	is	be	AUX
m-930	20	43	both	both	PRON
m-930	20	44	mechanically	mechanically	ADV
m-930	20	45	isolated	isolated	ADJ
m-930	20	46	and	and	CCONJ
m-930	20	47	immersed	immerse	VERB
m-930	20	48	in	in	ADP
m-930	20	49	a	a	DET
m-930	20	50	thermally	thermally	ADV
m-930	20	51	passive	passive	ADJ
m-930	20	52	environment	environment	NOUN
m-930	20	53	at	at	ADP
m-930	20	54	constant	constant	ADJ
m-930	20	55	temperature	temperature	NOUN
m-930	20	56	from	from	ADP
m-930	20	57	some	some	DET
m-930	20	58	finite	finite	ADJ
m-930	20	59	time	time	NOUN
m-930	20	60	onward	onward	ADV
m-930	20	61	.	.	PUNCT
m-930	21	1	massoudi	massoudi	PROPN
m-930	21	2	and	and	CCONJ
m-930	21	3	christie	christie	NOUN
m-930	22	1	[	[	X
m-930	22	2	7	7	X
m-930	22	3	]	]	PUNCT
m-930	22	4	dealt	deal	VERB
m-930	22	5	with	with	ADP
m-930	22	6	the	the	DET
m-930	22	7	effcts	effct	NOUN
m-930	22	8	of	of	ADP
m-930	22	9	variable	variable	ADJ
m-930	22	10	viscosity	viscosity	NOUN
m-930	22	11	and	and	CCONJ
m-930	22	12	viscous	viscous	ADJ
m-930	22	13	dissipation	dissipation	NOUN
m-930	22	14	on	on	ADP
m-930	22	15	the	the	DET
m-930	22	16	flow	flow	NOUN
m-930	22	17	of	of	ADP
m-930	22	18	third	third	ADJ
m-930	22	19	grade	grade	NOUN
m-930	22	20	fluid	fluid	NOUN
m-930	22	21	.	.	PUNCT
m-930	23	1	the	the	DET
m-930	23	2	boundary	boundary	ADJ
m-930	23	3	layer	layer	NOUN
m-930	23	4	equations	equation	NOUN
m-930	23	5	of	of	ADP
m-930	23	6	third	third	ADJ
m-930	23	7	grade	grade	NOUN
m-930	23	8	fluid	fluid	NOUN
m-930	23	9	was	be	AUX
m-930	23	10	treated	treat	VERB
m-930	23	11	by	by	ADP
m-930	23	12	pakdemirli	pakdemirli	ADJ
m-930	23	13	[	[	X
m-930	23	14	14	14	NUM
m-930	23	15	]	]	PUNCT
m-930	23	16	.	.	PUNCT
m-930	24	1	bejan	bejan	PROPN
m-930	24	2	[	[	X
m-930	24	3	4	4	NUM
m-930	24	4	]	]	PUNCT
m-930	24	5	studied	study	VERB
m-930	24	6	entropy	entropy	NOUN
m-930	24	7	generation	generation	NOUN
m-930	24	8	in	in	ADP
m-930	24	9	fundamentally	fundamentally	ADV
m-930	24	10	convective	convective	ADJ
m-930	24	11	heat	heat	NOUN
m-930	24	12	transfer	transfer	NOUN
m-930	24	13	.	.	PUNCT
m-930	25	1	johnson	johnson	PROPN
m-930	25	2	etal	etal	PROPN
m-930	25	3	[	[	X
m-930	25	4	6	6	NUM
m-930	25	5	]	]	PUNCT
m-930	25	6	investigated	investigate	VERB
m-930	25	7	a	a	DET
m-930	25	8	fluid	fluid	ADJ
m-930	25	9	flow	flow	NOUN
m-930	25	10	which	which	PRON
m-930	25	11	was	be	AUX
m-930	25	12	infused	infuse	VERB
m-930	25	13	with	with	ADP
m-930	25	14	solid	solid	ADJ
m-930	25	15	particles	particle	NOUN
m-930	25	16	in	in	ADP
m-930	25	17	a	a	DET
m-930	25	18	pipe	pipe	NOUN
m-930	25	19	,	,	PUNCT
m-930	25	20	while	while	SCONJ
m-930	25	21	approximate	approximate	ADJ
m-930	25	22	analytical	analytical	ADJ
m-930	25	23	solutions	solution	NOUN
m-930	25	24	for	for	ADP
m-930	25	25	flow	flow	NOUN
m-930	25	26	of	of	ADP
m-930	25	27	third	third	ADJ
m-930	25	28	grade	grade	NOUN
m-930	25	29	fluid	fluid	NOUN
m-930	25	30	was	be	AUX
m-930	25	31	examined	examine	VERB
m-930	25	32	by	by	ADP
m-930	25	33	yurusoy	yurusoy	ADJ
m-930	25	34	and	and	CCONJ
m-930	25	35	pakdemirli	pakdemirli	ADJ
m-930	26	1	[	[	X
m-930	26	2	15	15	NUM
m-930	26	3	]	]	PUNCT
m-930	26	4	.	.	PUNCT
m-930	27	1	okedayo	okedayo	PROPN
m-930	27	2	etal	etal	PROPN
m-930	28	1	[	[	X
m-930	28	2	12	12	NUM
m-930	28	3	]	]	PUNCT
m-930	28	4	studied	study	VERB
m-930	28	5	the	the	DET
m-930	28	6	effects	effect	NOUN
m-930	28	7	of	of	ADP
m-930	28	8	viscous	viscous	ADJ
m-930	28	9	dissipation	dissipation	NOUN
m-930	28	10	,	,	PUNCT
m-930	28	11	constant	constant	ADJ
m-930	28	12	wall	wall	NOUN
m-930	28	13	temperature	temperature	NOUN
m-930	28	14	and	and	CCONJ
m-930	28	15	a	a	DET
m-930	28	16	periodic	periodic	ADJ
m-930	28	17	field	field	NOUN
m-930	28	18	on	on	ADP
m-930	28	19	unsteady	unsteady	ADJ
m-930	28	20	flow	flow	NOUN
m-930	28	21	through	through	ADP
m-930	28	22	a	a	DET
m-930	28	23	horrizontal	horrizontal	ADJ
m-930	28	24	channel	channel	NOUN
m-930	28	25	.	.	PUNCT
m-930	29	1	okedayo	okedayo	PROPN
m-930	29	2	etal	etal	PROPN
m-930	30	1	[	[	X
m-930	30	2	13	13	NUM
m-930	30	3	]	]	PUNCT
m-930	30	4	analyzed	analyze	VERB
m-930	30	5	the	the	DET
m-930	30	6	magnetohydrdynamic	magnetohydrdynamic	ADJ
m-930	30	7	(	(	PUNCT
m-930	30	8	mhd	mhd	NOUN
m-930	30	9	)	)	PUNCT
m-930	30	10	flow	flow	NOUN
m-930	30	11	and	and	CCONJ
m-930	30	12	heat	heat	NOUN
m-930	30	13	transfer	transfer	NOUN
m-930	30	14	in	in	ADP
m-930	30	15	cylindrical	cylindrical	ADJ
m-930	30	16	pipe	pipe	NOUN
m-930	30	17	filled	fill	VERB
m-930	30	18	with	with	ADP
m-930	30	19	porous	porous	ADJ
m-930	30	20	media	medium	NOUN
m-930	30	21	.	.	PUNCT
m-930	31	1	they	they	PRON
m-930	31	2	applied	apply	VERB
m-930	31	3	the	the	DET
m-930	31	4	galerkin	galerkin	NOUN
m-930	31	5	weighted	weight	VERB
m-930	31	6	residual	residual	ADJ
m-930	31	7	method	method	NOUN
m-930	31	8	for	for	ADP
m-930	31	9	the	the	DET
m-930	31	10	solution	solution	NOUN
m-930	31	11	of	of	ADP
m-930	31	12	momentum	momentum	NOUN
m-930	31	13	equation	equation	NOUN
m-930	31	14	and	and	CCONJ
m-930	31	15	semiimplicit	semiimplicit	ADJ
m-930	31	16	finite	finite	PROPN
m-930	31	17	differece	differece	PROPN
m-930	31	18	method	method	PROPN
m-930	31	19	for	for	ADP
m-930	31	20	the	the	DET
m-930	31	21	energy	energy	NOUN
m-930	31	22	equation	equation	NOUN
m-930	31	23	.	.	PUNCT
m-930	32	1	they	they	PRON
m-930	32	2	found	find	VERB
m-930	32	3	that	that	SCONJ
m-930	32	4	an	an	DET
m-930	32	5	increase	increase	NOUN
m-930	32	6	in	in	ADP
m-930	32	7	darcy	darcy	PROPN
m-930	32	8	number	number	NOUN
m-930	32	9	leads	lead	VERB
m-930	32	10	to	to	ADP
m-930	32	11	an	an	DET
m-930	32	12	increase	increase	NOUN
m-930	32	13	in	in	ADP
m-930	32	14	the	the	DET
m-930	32	15	velocity	velocity	NOUN
m-930	32	16	profiles	profile	NOUN
m-930	32	17	,	,	PUNCT
m-930	32	18	while	while	SCONJ
m-930	32	19	increase	increase	NOUN
m-930	32	20	in	in	ADP
m-930	32	21	brinkman	brinkman	NOUN
m-930	32	22	number	number	NOUN
m-930	32	23	enhances	enhance	VERB
m-930	32	24	the	the	DET
m-930	32	25	temperature	temperature	NOUN
m-930	32	26	of	of	ADP
m-930	32	27	the	the	DET
m-930	32	28	system.nargis	system.nargis	PROPN
m-930	32	29	and	and	CCONJ
m-930	32	30	mahmood	mahmood	NOUN
m-930	33	1	[	[	X
m-930	33	2	8	8	NUM
m-930	33	3	]	]	PUNCT
m-930	33	4	studied	study	VERB
m-930	33	5	the	the	DET
m-930	33	6	influence	influence	NOUN
m-930	33	7	of	of	ADP
m-930	33	8	slip	slip	NOUN
m-930	33	9	condition	condition	NOUN
m-930	33	10	on	on	ADP
m-930	33	11	the	the	DET
m-930	33	12	thin	thin	ADJ
m-930	33	13	film	film	NOUN
m-930	33	14	flow	flow	NOUN
m-930	33	15	of	of	ADP
m-930	33	16	third	third	ADJ
m-930	33	17	order	order	NOUN
m-930	33	18	fluid	fluid	NOUN
m-930	33	19	.	.	PUNCT
m-930	34	1	obi	obi	PROPN
m-930	35	1	[	[	X
m-930	35	2	9	9	NUM
m-930	35	3	]	]	PUNCT
m-930	35	4	on	on	ADP
m-930	35	5	approximate	approximate	ADJ
m-930	35	6	analytical	analytical	ADJ
m-930	35	7	solution	solution	NOUN
m-930	35	8	of	of	ADP
m-930	35	9	natural	natural	ADJ
m-930	35	10	convection	convection	NOUN
m-930	35	11	flow	flow	NOUN
m-930	35	12	of	of	ADP
m-930	35	13	non	non	ADJ
m-930	35	14	-	-	ADJ
m-930	35	15	newtonian	newtonian	ADJ
m-930	35	16	fluid	fluid	NOUN
m-930	35	17	through	through	ADP
m-930	35	18	parallel	parallel	ADJ
m-930	35	19	plates	plate	NOUN
m-930	35	20	,	,	PUNCT
m-930	35	21	solved	solve	VERB
m-930	35	22	the	the	DET
m-930	35	23	coupled	couple	VERB
m-930	35	24	momentum	momentum	NOUN
m-930	35	25	and	and	CCONJ
m-930	35	26	energy	energy	NOUN
m-930	35	27	equations	equation	NOUN
m-930	35	28	using	use	VERB
m-930	35	29	the	the	DET
m-930	35	30	regular	regular	ADJ
m-930	35	31	perturbation	perturbation	NOUN
m-930	35	32	methd	methd	NOUN
m-930	35	33	.	.	PUNCT
m-930	36	1	he	he	PRON
m-930	36	2	treated	treat	VERB
m-930	36	3	cases	case	NOUN
m-930	36	4	of	of	ADP
m-930	36	5	constant	constant	ADJ
m-930	36	6	and	and	CCONJ
m-930	36	7	temperature	temperature	NOUN
m-930	36	8	-	-	PUNCT
m-930	36	9	dependent	dependent	ADJ
m-930	36	10	viscosities	viscosity	NOUN
m-930	36	11	in	in	ADP
m-930	36	12	which	which	PRON
m-930	36	13	reynold	reynold	PROPN
m-930	36	14	’s	’s	NOUN
m-930	36	15	and	and	CCONJ
m-930	36	16	vogel	vogel	NOUN
m-930	36	17	’s	’s	PART
m-930	36	18	models	model	NOUN
m-930	36	19	were	be	AUX
m-930	36	20	considered	consider	VERB
m-930	36	21	to	to	PART
m-930	36	22	account	account	VERB
m-930	36	23	for	for	ADP
m-930	36	24	the	the	DET
m-930	36	25	temperaturedependent	temperaturedependent	ADJ
m-930	36	26	viscosity	viscosity	NOUN
m-930	36	27	case	case	NOUN
m-930	36	28	,	,	PUNCT
m-930	36	29	while	while	SCONJ
m-930	36	30	third	third	ADJ
m-930	36	31	grade	grade	NOUN
m-930	36	32	fluid	fluid	NOUN
m-930	36	33	was	be	AUX
m-930	36	34	introduced	introduce	VERB
m-930	36	35	to	to	PART
m-930	36	36	account	account	VERB
m-930	36	37	for	for	ADP
m-930	36	38	the	the	DET
m-930	36	39	nonnewttonian	nonnewttonian	ADJ
m-930	36	40	effects	effect	NOUN
m-930	36	41	.	.	PUNCT
m-930	37	1	obi	obi	PROPN
m-930	37	2	[	[	X
m-930	37	3	10	10	NUM
m-930	37	4	]	]	PUNCT
m-930	37	5	numerically	numerically	ADV
m-930	37	6	analyzed	analyze	VERB
m-930	37	7	the	the	DET
m-930	37	8	reactive	reactive	ADJ
m-930	37	9	third	third	ADJ
m-930	37	10	grade	grade	NOUN
m-930	37	11	fluid	fluid	NOUN
m-930	37	12	in	in	ADP
m-930	37	13	cylindrical	cylindrical	ADJ
m-930	37	14	pipe	pipe	NOUN
m-930	37	15	.	.	PUNCT
m-930	38	1	he	he	PRON
m-930	38	2	observed	observe	VERB
m-930	38	3	that	that	SCONJ
m-930	38	4	the	the	DET
m-930	38	5	non	non	ADJ
m-930	38	6	-	-	ADJ
m-930	38	7	newtonian	newtonian	ADJ
m-930	38	8	parameters	parameter	NOUN
m-930	38	9	considered	consider	VERB
m-930	38	10	in	in	ADP
m-930	38	11	the	the	DET
m-930	38	12	analysis	analysis	NOUN
m-930	38	13	:	:	PUNCT
m-930	38	14	third	third	ADJ
m-930	38	15	grade	grade	NOUN
m-930	38	16	parameter	parameter	NOUN
m-930	38	17	(	(	PUNCT
m-930	38	18			PROPN
m-930	38	19	)	)	PUNCT
m-930	38	20	,	,	PUNCT
m-930	38	21	magnetic	magnetic	ADJ
m-930	38	22	field	field	NOUN
m-930	38	23	parameter	parameter	NOUN
m-930	38	24	(	(	PUNCT
m-930	38	25	m	m	PROPN
m-930	38	26	)	)	PUNCT
m-930	38	27	,	,	PUNCT
m-930	38	28	eckert	eckert	PROPN
m-930	38	29	number	number	PROPN
m-930	38	30	(	(	PUNCT
m-930	38	31	ec	ec	PROPN
m-930	38	32	)	)	PUNCT
m-930	38	33	and	and	CCONJ
m-930	38	34	the	the	DET
m-930	38	35	brinkman	brinkman	PROPN
m-930	38	36	number	number	NOUN
m-930	38	37	(	(	PUNCT
m-930	38	38	br	br	NOUN
m-930	38	39	)	)	PUNCT
m-930	38	40	had	have	VERB
m-930	38	41	psitive	psitive	ADJ
m-930	38	42	effects	effect	NOUN
m-930	38	43	on	on	ADP
m-930	38	44	the	the	DET
m-930	38	45	velocity	velocity	NOUN
m-930	38	46	and	and	CCONJ
m-930	38	47	temperature	temperature	NOUN
m-930	38	48	profiles.aksoy	profiles.aksoy	NOUN
m-930	38	49	and	and	CCONJ
m-930	38	50	pakdemirli	pakdemirli	ADJ
m-930	39	1	[	[	X
m-930	39	2	1	1	X
m-930	39	3	]	]	PUNCT
m-930	39	4	examined	examine	VERB
m-930	39	5	the	the	DET
m-930	39	6	flow	flow	NOUN
m-930	39	7	of	of	ADP
m-930	39	8	a	a	DET
m-930	39	9	non	non	ADJ
m-930	39	10	-	-	ADJ
m-930	39	11	newtonian	newtonian	ADJ
m-930	39	12	fluid	fluid	NOUN
m-930	39	13	through	through	ADP
m-930	39	14	a	a	DET
m-930	39	15	porous	porous	ADJ
m-930	39	16	medium	medium	NOUN
m-930	39	17	between	between	ADP
m-930	39	18	two	two	NUM
m-930	39	19	parallel	parallel	ADJ
m-930	39	20	plates	plate	NOUN
m-930	39	21	.	.	PUNCT
m-930	40	1	they	they	PRON
m-930	40	2	involed	invole	VERB
m-930	40	3	reynold	reynold	PROPN
m-930	40	4	’s	’s	PART
m-930	40	5	and	and	CCONJ
m-930	40	6	vogel	vogel	NOUN
m-930	40	7	’s	’s	PART
m-930	40	8	models	model	NOUN
m-930	40	9	viscosity	viscosity	NOUN
m-930	40	10	and	and	CCONJ
m-930	40	11	derived	derive	VERB
m-930	40	12	the	the	DET
m-930	40	13	criteria	criterion	NOUN
m-930	40	14	for	for	ADP
m-930	40	15	validity	validity	NOUN
m-930	40	16	for	for	ADP
m-930	40	17	the	the	DET
m-930	40	18	approximate	approximate	ADJ
m-930	40	19	solution	solution	NOUN
m-930	40	20	.	.	PUNCT
m-930	41	1	ijo	ijo	PROPN
m-930	41	2	journals	journal	NOUN
m-930	41	3	volume	volume	NOUN
m-930	41	4	07	07	NUM
m-930	41	5	|	|	NOUN
m-930	41	6	issue	issue	NOUN
m-930	41	7	09	09	NUM
m-930	42	1	|	|	ADV
m-930	42	2	september	september	PROPN
m-930	42	3	2024	2024	NUM
m-930	43	1	|	|	ADV
m-930	43	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	43	3	2	2	NUM
m-930	43	4	ijo	ijo	PROPN
m-930	43	5	international	international	ADJ
m-930	43	6	journal	journal	PROPN
m-930	43	7	of	of	ADP
m-930	43	8	mathematics	mathematics	PROPN
m-930	43	9	(	(	PUNCT
m-930	43	10	issn	issn	PROPN
m-930	43	11	:	:	PUNCT
m-930	43	12	2992	2992	NUM
m-930	43	13	-	-	SYM
m-930	43	14	4421	4421	NUM
m-930	43	15	)	)	PUNCT
m-930	44	1	*	*	PUNCT
m-930	44	2	1	1	NUM
m-930	44	3	obi	obi	NOUN
m-930	44	4	,	,	PUNCT
m-930	44	5	boniface	boniface	NOUN
m-930	44	6	inalu	inalu	NOUN
m-930	44	7	*	*	PUNCT
m-930	44	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	44	9	volume	volume	NOUN
m-930	44	10	07	07	NUM
m-930	44	11	||	||	NOUN
m-930	44	12	issue	issue	NOUN
m-930	44	13	09	09	NUM
m-930	44	14	||	||	NOUN
m-930	44	15	september	september	PROPN
m-930	44	16	,	,	PUNCT
m-930	44	17	2024	2024	NUM
m-930	44	18	||	||	NUM
m-930	44	19	“	"	PUNCT
m-930	44	20	analytical	analytical	ADJ
m-930	44	21	study	study	NOUN
m-930	44	22	of	of	ADP
m-930	44	23	incompressible	incompressible	ADJ
m-930	44	24	mhd	mhd	PROPN
m-930	44	25	non	non	ADJ
m-930	44	26	-	-	ADJ
m-930	44	27	newtonian	newtonian	ADJ
m-930	44	28	fluid	fluid	NOUN
m-930	44	29	in	in	ADP
m-930	44	30	cylindrical	cylindrical	ADJ
m-930	44	31	pipe	pipe	NOUN
m-930	44	32	with	with	ADP
m-930	44	33	isothermal	isothermal	ADJ
m-930	44	34	wall	wall	NOUN
m-930	44	35	and	and	CCONJ
m-930	44	36	temperature	temperature	NOUN
m-930	44	37	-	-	PUNCT
m-930	44	38	dependent	dependent	ADJ
m-930	44	39	viscosity	viscosity	NOUN
m-930	44	40	"	"	PUNCT
m-930	44	41	obi	obi	NOUN
m-930	44	42	etal	etal	NOUN
m-930	45	1	[	[	X
m-930	45	2	11	11	NUM
m-930	45	3	]	]	PUNCT
m-930	45	4	on	on	ADP
m-930	45	5	semi	semi	ADJ
m-930	45	6	-	-	ADJ
m-930	45	7	analytical	analytical	ADJ
m-930	45	8	solution	solution	NOUN
m-930	45	9	of	of	ADP
m-930	45	10	natural	natural	ADJ
m-930	45	11	convection	convection	NOUN
m-930	45	12	flow	flow	NOUN
m-930	45	13	of	of	ADP
m-930	45	14	non	non	ADJ
m-930	45	15	-	-	ADJ
m-930	45	16	newtonian	newtonian	ADJ
m-930	45	17	fluid	fluid	NOUN
m-930	45	18	with	with	ADP
m-930	45	19	temperature	temperature	NOUN
m-930	45	20	-	-	PUNCT
m-930	45	21	dependent	dependent	ADJ
m-930	45	22	viscosity	viscosity	NOUN
m-930	45	23	in	in	ADP
m-930	45	24	pipe	pipe	NOUN
m-930	45	25	.	.	PUNCT
m-930	46	1	they	they	PRON
m-930	46	2	solved	solve	VERB
m-930	46	3	the	the	DET
m-930	46	4	nonlinear	nonlinear	ADJ
m-930	46	5	momentum	momentum	NOUN
m-930	46	6	and	and	CCONJ
m-930	46	7	energy	energy	NOUN
m-930	46	8	equations	equation	NOUN
m-930	46	9	using	use	VERB
m-930	46	10	perturbation	perturbation	NOUN
m-930	46	11	technique	technique	NOUN
m-930	46	12	.	.	PUNCT
m-930	47	1	they	they	PRON
m-930	47	2	analyzed	analyze	VERB
m-930	47	3	various	various	ADJ
m-930	47	4	thermo	thermo	NOUN
m-930	47	5	-	-	PUNCT
m-930	47	6	solutal	solutal	ADJ
m-930	47	7	parameters	parameter	NOUN
m-930	47	8	involved	involve	VERB
m-930	47	9	in	in	ADP
m-930	47	10	the	the	DET
m-930	47	11	dimensionless	dimensionless	NOUN
m-930	47	12	equations	equation	NOUN
m-930	47	13	.	.	PUNCT
m-930	48	1	results	result	NOUN
m-930	48	2	within	within	ADP
m-930	48	3	the	the	DET
m-930	48	4	constant	constant	ADJ
m-930	48	5	viscosity	viscosity	NOUN
m-930	48	6	show	show	VERB
m-930	48	7	that	that	PRON
m-930	48	8	increase	increase	NOUN
m-930	48	9	in	in	ADP
m-930	48	10	these	these	DET
m-930	48	11	parameters	parameter	NOUN
m-930	48	12	increases	increase	VERB
m-930	48	13	the	the	DET
m-930	48	14	velocity	velocity	NOUN
m-930	48	15	of	of	ADP
m-930	48	16	the	the	DET
m-930	48	17	fluid	fluid	ADJ
m-930	48	18	flow	flow	NOUN
m-930	48	19	as	as	ADV
m-930	48	20	well	well	ADV
m-930	48	21	as	as	ADP
m-930	48	22	the	the	DET
m-930	48	23	temperature	temperature	NOUN
m-930	48	24	of	of	ADP
m-930	48	25	the	the	DET
m-930	48	26	cylindrical	cylindrical	ADJ
m-930	48	27	pipe	pipe	NOUN
m-930	48	28	.	.	PUNCT
m-930	49	1	it	it	PRON
m-930	49	2	is	be	AUX
m-930	49	3	observed	observe	VERB
m-930	49	4	that	that	PRON
m-930	49	5	increase	increase	NOUN
m-930	49	6	in	in	ADP
m-930	49	7	the	the	DET
m-930	49	8	reynold	reynold	NOUN
m-930	49	9	’s	’s	PART
m-930	49	10	viscosity	viscosity	NOUN
m-930	49	11	indices	index	NOUN
m-930	49	12	increases	increase	VERB
m-930	49	13	the	the	DET
m-930	49	14	temperature	temperature	NOUN
m-930	49	15	of	of	ADP
m-930	49	16	the	the	DET
m-930	49	17	cylindrical	cylindrical	ADJ
m-930	49	18	pipe	pipe	NOUN
m-930	49	19	greatly	greatly	ADV
m-930	49	20	.	.	PUNCT
m-930	50	1	2.0	2.0	NUM
m-930	50	2	mathematical	mathematical	ADJ
m-930	50	3	formulation	formulation	NOUN
m-930	50	4	considering	consider	VERB
m-930	50	5	aiyesimi	aiyesimi	NOUN
m-930	50	6	etal	etal	NOUN
m-930	50	7	[	[	X
m-930	50	8	2	2	NUM
m-930	50	9	]	]	PUNCT
m-930	50	10	,	,	PUNCT
m-930	50	11	the	the	DET
m-930	50	12	steady	steady	ADJ
m-930	50	13	flow	flow	NOUN
m-930	50	14	of	of	ADP
m-930	50	15	an	an	DET
m-930	50	16	incompressible	incompressible	ADJ
m-930	50	17	mhd	mhd	NOUN
m-930	50	18	third	third	ADJ
m-930	50	19	grade	grade	NOUN
m-930	50	20	fluid	fluid	NOUN
m-930	50	21	flow	flow	NOUN
m-930	50	22	in	in	ADP
m-930	50	23	a	a	DET
m-930	50	24	cylindrical	cylindrical	ADJ
m-930	50	25	pipe	pipe	NOUN
m-930	50	26	and	and	CCONJ
m-930	50	27	neglecting	neglect	VERB
m-930	50	28	the	the	DET
m-930	50	29	reacting	react	VERB
m-930	50	30	viscous	viscous	ADJ
m-930	50	31	fluid	fluid	NOUN
m-930	50	32	assumption	assumption	NOUN
m-930	50	33	,	,	PUNCT
m-930	50	34	the	the	DET
m-930	50	35	governing	govern	VERB
m-930	50	36	momentum	momentum	NOUN
m-930	50	37	and	and	CCONJ
m-930	50	38	energy	energy	NOUN
m-930	50	39	equations	equation	NOUN
m-930	50	40	with	with	ADP
m-930	50	41	the	the	DET
m-930	50	42	necessary	necessary	ADJ
m-930	50	43	boundary	boundary	ADJ
m-930	50	44	conditions	condition	NOUN
m-930	50	45	can	can	AUX
m-930	50	46	be	be	AUX
m-930	50	47	represented	represent	VERB
m-930	50	48	by	by	ADP
m-930	50	49			NOUN
m-930	50	50			PROPN
m-930	50	51	3	3	NUM
m-930	50	52	2	2	NUM
m-930	50	53	0	0	NUM
m-930	50	54	1	1	NUM
m-930	51	1	d	d	SYM
m-930	51	2	du	du	PROPN
m-930	51	3	d	d	X
m-930	51	4	du	du	X
m-930	51	5	dp	dp	NOUN
m-930	52	1	r	r	NOUN
m-930	52	2	r	r	NOUN
m-930	52	3	b	b	X
m-930	52	4	u	u	NOUN
m-930	52	5	r	r	PROPN
m-930	52	6	dr	dr	PROPN
m-930	52	7	dr	dr	PROPN
m-930	52	8	r	r	PROPN
m-930	52	9	dr	dr	PROPN
m-930	52	10	dr	dr	PROPN
m-930	52	11	dz	dz	PROPN
m-930	52	12			NOUN
m-930	52	13			NOUN
m-930	52	14			PROPN
m-930	52	15			NOUN
m-930	52	16			PROPN
m-930	52	17			PROPN
m-930	52	18			NOUN
m-930	52	19			PROPN
m-930	52	20			VERB
m-930	52	21			PROPN
m-930	52	22			NUM
m-930	52	23			PROPN
m-930	52	24			NOUN
m-930	53	1			PROPN
m-930	53	2			PROPN
m-930	53	3			VERB
m-930	54	1			PROPN
m-930	54	2			NOUN
m-930	54	3			PROPN
m-930	54	4			NOUN
m-930	54	5			NOUN
m-930	54	6			NOUN
m-930	54	7			SYM
m-930	54	8			NOUN
m-930	55	1			NOUN
m-930	55	2	2	2	NUM
m-930	55	3	2	2	NUM
m-930	55	4	2	2	NUM
m-930	55	5	3	3	NUM
m-930	55	6	0	0	NUM
m-930	55	7	0	0	NUM
m-930	55	8	2	2	NUM
m-930	55	9	k	k	NOUN
m-930	55	10	d	d	X
m-930	55	11	dt	dt	X
m-930	55	12	du	du	PROPN
m-930	55	13	du	du	PROPN
m-930	55	14	r	r	PROPN
m-930	55	15	b	b	PROPN
m-930	55	16	u	u	PROPN
m-930	55	17	r	r	PROPN
m-930	55	18	dr	dr	PROPN
m-930	55	19	dr	dr	PROPN
m-930	55	20	dr	dr	PROPN
m-930	55	21	dr	dr	PROPN
m-930	55	22			PROPN
m-930	55	23			NOUN
m-930	55	24			PROPN
m-930	55	25			NOUN
m-930	55	26			PROPN
m-930	55	27			PROPN
m-930	55	28			NOUN
m-930	55	29			PROPN
m-930	55	30			PROPN
m-930	55	31			PROPN
m-930	55	32			VERB
m-930	55	33			PUNCT
m-930	55	34			X
m-930	55	35			PUNCT
m-930	55	36			NOUN
m-930	56	1			PROPN
m-930	56	2			PROPN
m-930	56	3			INTJ
m-930	56	4			PROPN
m-930	56	5			VERB
m-930	57	1			VERB
m-930	57	2			NOUN
m-930	57	3			PROPN
m-930	57	4			NOUN
m-930	57	5			NOUN
m-930	57	6			NOUN
m-930	57	7			NOUN
m-930	57	8			NOUN
m-930	57	9			SYM
m-930	57	10			NOUN
m-930	57	11			SYM
m-930	57	12			NOUN
m-930	57	13			SYM
m-930	57	14			NOUN
m-930	57	15			SYM
m-930	57	16			NOUN
m-930	57	17	0	0	NOUN
m-930	57	18	0	0	NUM
m-930	57	19	0	0	NUM
m-930	57	20	,	,	PUNCT
m-930	57	21	0	0	NUM
m-930	57	22	,	,	PUNCT
m-930	57	23	0	0	NUM
m-930	57	24	3	3	NUM
m-930	57	25	du	du	NOUN
m-930	57	26	dt	dt	PROPN
m-930	57	27	u	u	PROPN
m-930	57	28	a	a	PROPN
m-930	57	29	t	t	NOUN
m-930	57	30	a	a	DET
m-930	57	31	dr	dr	PROPN
m-930	57	32	dr	dr	PROPN
m-930	57	33			PROPN
m-930	57	34			PROPN
m-930	58	1			PRON
m-930	58	2			ADJ
m-930	58	3	where	where	SCONJ
m-930	58	4	u	u	NOUN
m-930	58	5	is	be	AUX
m-930	58	6	the	the	DET
m-930	58	7	velocity	velocity	NOUN
m-930	58	8	of	of	ADP
m-930	58	9	the	the	DET
m-930	58	10	fluid	fluid	NOUN
m-930	58	11	,	,	PUNCT
m-930	58	12	t	t	PROPN
m-930	58	13	is	be	AUX
m-930	58	14	the	the	DET
m-930	58	15	temperature	temperature	NOUN
m-930	58	16	of	of	ADP
m-930	58	17	the	the	DET
m-930	58	18	cylindrical	cylindrical	ADJ
m-930	58	19	pipe	pipe	NOUN
m-930	58	20	,	,	PUNCT
m-930	58	21	t0	t0	PROPN
m-930	58	22	is	be	AUX
m-930	58	23	the	the	DET
m-930	58	24	plate	plate	NOUN
m-930	58	25	temperature	temperature	NOUN
m-930	58	26	,	,	PUNCT
m-930	58	27	b0	b0	NOUN
m-930	58	28	is	be	AUX
m-930	58	29	the	the	DET
m-930	58	30	magnetic	magnetic	ADJ
m-930	58	31	field	field	NOUN
m-930	58	32	,	,	PUNCT
m-930	58	33			NOUN
m-930	58	34	is	be	AUX
m-930	58	35	the	the	DET
m-930	58	36	coefficient	coefficient	NOUN
m-930	58	37	of	of	ADP
m-930	58	38	dynamic	dynamic	ADJ
m-930	58	39	viscosity	viscosity	NOUN
m-930	58	40	,	,	PUNCT
m-930	58	41	p	p	NOUN
m-930	58	42	is	be	AUX
m-930	58	43	the	the	DET
m-930	58	44	pressure	pressure	NOUN
m-930	58	45	and	and	CCONJ
m-930	58	46			NOUN
m-930	58	47	is	be	AUX
m-930	58	48	the	the	DET
m-930	58	49	material	material	ADJ
m-930	58	50	coefficient	coefficient	NOUN
m-930	58	51	relating	relate	VERB
m-930	58	52	to	to	ADP
m-930	58	53	third	third	ADJ
m-930	58	54	grade	grade	NOUN
m-930	58	55	fluid	fluid	NOUN
m-930	58	56	.	.	PUNCT
m-930	59	1	the	the	DET
m-930	59	2	following	follow	VERB
m-930	59	3	non	non	ADJ
m-930	59	4	-	-	ADJ
m-930	59	5	dimensional	dimensional	ADJ
m-930	59	6	variables	variable	NOUN
m-930	59	7	are	be	AUX
m-930	59	8	introduced	introduce	VERB
m-930	59	9	for	for	ADP
m-930	59	10	non	non	ADJ
m-930	59	11	-	-	NOUN
m-930	59	12	dimensionalization	dimensionalization	NOUN
m-930	59	13	.	.	PUNCT
m-930	60	1			NOUN
m-930	61	1			PUNCT
m-930	61	2	0	0	NUM
m-930	61	3	0	0	NUM
m-930	61	4	0	0	NUM
m-930	61	5	,	,	PUNCT
m-930	61	6	,	,	PUNCT
m-930	61	7	,	,	PUNCT
m-930	61	8	,	,	PUNCT
m-930	61	9	4	4	NUM
m-930	61	10	r	r	NOUN
m-930	61	11	t	t	NOUN
m-930	61	12	u	u	NOUN
m-930	61	13	r	r	NOUN
m-930	61	14	u	u	X
m-930	61	15	d	d	X
m-930	61	16	t	t	NOUN
m-930	61	17	u	u	NOUN
m-930	61	18			NOUN
m-930	61	19			NOUN
m-930	61	20			NOUN
m-930	61	21			NOUN
m-930	62	1			NOUN
m-930	62	2			PRON
m-930	63	1			PRON
m-930	63	2			PROPN
m-930	63	3	ijo	ijo	PROPN
m-930	63	4	journals	journal	NOUN
m-930	63	5	volume	volume	NOUN
m-930	63	6	07	07	NUM
m-930	64	1	|	|	NOUN
m-930	64	2	issue	issue	NOUN
m-930	64	3	09	09	NUM
m-930	64	4	|	|	ADV
m-930	64	5	september	september	PROPN
m-930	64	6	2024	2024	NUM
m-930	65	1	|	|	ADV
m-930	65	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	65	3	3	3	NUM
m-930	65	4	ijo	ijo	PROPN
m-930	65	5	international	international	PROPN
m-930	65	6	journal	journal	PROPN
m-930	65	7	of	of	ADP
m-930	65	8	mathematics	mathematics	PROPN
m-930	65	9	(	(	PUNCT
m-930	65	10	issn	issn	PROPN
m-930	65	11	:	:	PUNCT
m-930	65	12	2992	2992	NUM
m-930	65	13	-	-	SYM
m-930	65	14	4421	4421	NUM
m-930	65	15	)	)	PUNCT
m-930	66	1	*	*	PUNCT
m-930	66	2	1	1	NUM
m-930	66	3	obi	obi	NOUN
m-930	66	4	,	,	PUNCT
m-930	66	5	boniface	boniface	NOUN
m-930	66	6	inalu	inalu	NOUN
m-930	66	7	*	*	PUNCT
m-930	66	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	66	9	volume	volume	NOUN
m-930	66	10	07	07	NUM
m-930	66	11	||	||	NOUN
m-930	66	12	issue	issue	NOUN
m-930	66	13	09	09	NUM
m-930	66	14	||	||	NOUN
m-930	66	15	september	september	PROPN
m-930	66	16	,	,	PUNCT
m-930	66	17	2024	2024	NUM
m-930	66	18	||	||	NUM
m-930	66	19	“	"	PUNCT
m-930	66	20	analytical	analytical	ADJ
m-930	66	21	study	study	NOUN
m-930	66	22	of	of	ADP
m-930	66	23	incompressible	incompressible	ADJ
m-930	66	24	mhd	mhd	PROPN
m-930	66	25	non	non	ADJ
m-930	66	26	-	-	ADJ
m-930	66	27	newtonian	newtonian	ADJ
m-930	66	28	fluid	fluid	NOUN
m-930	66	29	in	in	ADP
m-930	66	30	cylindrical	cylindrical	ADJ
m-930	66	31	pipe	pipe	NOUN
m-930	66	32	with	with	ADP
m-930	66	33	isothermal	isothermal	ADJ
m-930	66	34	wall	wall	NOUN
m-930	66	35	and	and	CCONJ
m-930	66	36	temperature	temperature	NOUN
m-930	66	37	-	-	PUNCT
m-930	66	38	dependent	dependent	ADJ
m-930	66	39	viscosity	viscosity	NOUN
m-930	66	40	"	"	PUNCT
m-930	66	41	substituting	substitute	VERB
m-930	66	42	equation	equation	NOUN
m-930	66	43	(	(	PUNCT
m-930	66	44	4	4	NUM
m-930	66	45	)	)	PUNCT
m-930	66	46	into	into	ADP
m-930	66	47	equations	equation	NOUN
m-930	66	48	(	(	PUNCT
m-930	66	49	1	1	NUM
m-930	66	50	)	)	PUNCT
m-930	66	51	to	to	ADP
m-930	66	52	(	(	PUNCT
m-930	66	53	3	3	NUM
m-930	66	54	)	)	PUNCT
m-930	66	55	,	,	PUNCT
m-930	66	56	yields	yield	VERB
m-930	66	57			NOUN
m-930	66	58			PROPN
m-930	66	59	3	3	NUM
m-930	66	60	1	1	NUM
m-930	66	61	1	1	NUM
m-930	66	62	5	5	NUM
m-930	66	63	d	d	SYM
m-930	66	64	du	du	PROPN
m-930	66	65	d	d	X
m-930	66	66	du	du	PROPN
m-930	66	67	r	r	NOUN
m-930	66	68	r	r	NOUN
m-930	66	69	mu	mu	NOUN
m-930	66	70	r	r	PROPN
m-930	66	71	dr	dr	PROPN
m-930	66	72	dr	dr	PROPN
m-930	66	73	r	r	PROPN
m-930	66	74	dr	dr	PROPN
m-930	66	75	dr	dr	PROPN
m-930	66	76			PROPN
m-930	66	77			PROPN
m-930	66	78			NOUN
m-930	66	79			PROPN
m-930	66	80			VERB
m-930	66	81			PROPN
m-930	66	82			PROPN
m-930	66	83			PROPN
m-930	66	84			PROPN
m-930	67	1			PROPN
m-930	67	2			PROPN
m-930	68	1			ADJ
m-930	68	2			PROPN
m-930	68	3			PROPN
m-930	68	4			NOUN
m-930	68	5			NOUN
m-930	68	6			PROPN
m-930	68	7	2	2	NUM
m-930	68	8	4	4	NUM
m-930	68	9	21	21	NUM
m-930	68	10	0	0	NUM
m-930	68	11	6c	6c	NOUN
m-930	68	12	r	r	NOUN
m-930	69	1	d	d	X
m-930	69	2	d	d	X
m-930	69	3	du	du	X
m-930	69	4	du	du	PROPN
m-930	69	5	r	r	PROPN
m-930	69	6	e	e	PROPN
m-930	69	7	b	b	X
m-930	69	8	mu	mu	PROPN
m-930	69	9	r	r	PROPN
m-930	69	10	dr	dr	PROPN
m-930	69	11	dr	dr	PROPN
m-930	69	12	dr	dr	PROPN
m-930	69	13	dr	dr	PROPN
m-930	69	14			PROPN
m-930	69	15			PROPN
m-930	69	16			NOUN
m-930	69	17			PROPN
m-930	69	18			NOUN
m-930	69	19			PROPN
m-930	69	20			PROPN
m-930	69	21			PROPN
m-930	69	22			ADV
m-930	69	23			VERB
m-930	69	24			X
m-930	69	25			PUNCT
m-930	69	26			PROPN
m-930	69	27			PROPN
m-930	69	28			INTJ
m-930	70	1			PROPN
m-930	70	2			PROPN
m-930	71	1			ADJ
m-930	71	2			PROPN
m-930	71	3			PROPN
m-930	71	4			NOUN
m-930	71	5			PROPN
m-930	71	6			NOUN
m-930	71	7			NOUN
m-930	71	8			SYM
m-930	71	9			NOUN
m-930	71	10			SYM
m-930	71	11			NOUN
m-930	71	12			SYM
m-930	71	13			NOUN
m-930	71	14			SYM
m-930	71	15			NOUN
m-930	71	16	0	0	NOUN
m-930	71	17	0	0	NUM
m-930	71	18	0	0	NUM
m-930	71	19	,	,	PUNCT
m-930	71	20	0	0	NUM
m-930	71	21	0	0	NUM
m-930	71	22	,	,	PUNCT
m-930	71	23	1	1	NUM
m-930	71	24	0	0	NUM
m-930	71	25	7	7	NUM
m-930	71	26	du	du	PROPN
m-930	71	27	d	d	PROPN
m-930	71	28	u	u	PROPN
m-930	71	29	dr	dr	PROPN
m-930	71	30	dr	dr	PROPN
m-930	71	31			PROPN
m-930	71	32			PROPN
m-930	72	1			PROPN
m-930	73	1			PRON
m-930	73	2			NUM
m-930	73	3	3.0	3.0	NUM
m-930	73	4	method	method	NOUN
m-930	73	5	of	of	ADP
m-930	73	6	solution	solution	NOUN
m-930	73	7	the	the	DET
m-930	73	8	semi	semi	ADJ
m-930	73	9	-	-	ADJ
m-930	73	10	analytical	analytical	ADJ
m-930	73	11	solutions	solution	NOUN
m-930	73	12	for	for	ADP
m-930	73	13	velocity	velocity	NOUN
m-930	73	14	and	and	CCONJ
m-930	73	15	temperature	temperature	NOUN
m-930	73	16	profiles	profile	NOUN
m-930	73	17	can	can	AUX
m-930	73	18	be	be	AUX
m-930	73	19	of	of	ADP
m-930	73	20	the	the	DET
m-930	73	21	form	form	NOUN
m-930	73	22	:	:	PUNCT
m-930	73	23			NOUN
m-930	73	24			SYM
m-930	73	25			NOUN
m-930	73	26			SYM
m-930	73	27			NOUN
m-930	73	28			SYM
m-930	73	29			NOUN
m-930	73	30			SYM
m-930	73	31			NOUN
m-930	73	32			SYM
m-930	73	33			NOUN
m-930	73	34			SYM
m-930	73	35			NOUN
m-930	73	36			SYM
m-930	73	37			NOUN
m-930	74	1			SYM
m-930	74	2			NOUN
m-930	74	3	2	2	ADJ
m-930	74	4	2	2	NUM
m-930	74	5	0	0	NUM
m-930	74	6	1	1	NUM
m-930	74	7	0	0	NUM
m-930	74	8	1	1	NUM
m-930	74	9	,	,	PUNCT
m-930	74	10	,	,	PUNCT
m-930	74	11	m=	m=	X
m-930	74	12	m	m	VERB
m-930	74	13	8u	8u	NUM
m-930	74	14	r	r	NOUN
m-930	74	15	u	u	NOUN
m-930	74	16	r	r	NOUN
m-930	74	17	u	u	NOUN
m-930	74	18	r	r	NOUN
m-930	74	19	r	r	NOUN
m-930	74	20	r	r	NOUN
m-930	74	21	r	r	NOUN
m-930	74	22			NOUN
m-930	74	23			PROPN
m-930	74	24			PROPN
m-930	74	25			PROPN
m-930	75	1			PROPN
m-930	75	2			VERB
m-930	75	3			PUNCT
m-930	75	4			PROPN
m-930	75	5			PROPN
m-930	75	6			ADV
m-930	75	7			X
m-930	75	8	3.1	3.1	NUM
m-930	75	9	.	.	PUNCT
m-930	75	10	constant	constant	ADJ
m-930	75	11	viscosity	viscosity	NOUN
m-930	75	12	substituting	substitute	VERB
m-930	75	13	eqn	eqn	NOUN
m-930	75	14	(	(	PUNCT
m-930	75	15	8)	8)	NUM
m-930	75	16	into	into	ADP
m-930	75	17	eqns	eqns	PROPN
m-930	75	18	(	(	PUNCT
m-930	75	19	5	5	NUM
m-930	75	20	)	)	PUNCT
m-930	75	21	and	and	CCONJ
m-930	75	22	(	(	PUNCT
m-930	75	23	6	6	NUM
m-930	75	24	)	)	PUNCT
m-930	75	25	and	and	CCONJ
m-930	75	26	separating	separate	VERB
m-930	75	27	each	each	DET
m-930	75	28	order	order	NOUN
m-930	75	29	of	of	ADP
m-930	75	30			NOUN
m-930	75	31	,	,	PUNCT
m-930	75	32	yields	yield	VERB
m-930	75	33			PROPN
m-930	76	1	0	0	NOUN
m-930	76	2	01	01	NUM
m-930	76	3	:	:	PUNCT
m-930	76	4	1̀	1̀	NUM
m-930	76	5	9	9	NUM
m-930	76	6	dud	dud	NOUN
m-930	76	7	r	r	NOUN
m-930	76	8	r	r	PROPN
m-930	76	9	dr	dr	PROPN
m-930	76	10	dr	dr	PROPN
m-930	76	11			PROPN
m-930	76	12			NOUN
m-930	76	13			NOUN
m-930	76	14			PROPN
m-930	77	1			PROPN
m-930	77	2			PROPN
m-930	78	1			PROPN
m-930	78	2			PROPN
m-930	78	3			NOUN
m-930	78	4			PROPN
m-930	78	5	3	3	NUM
m-930	78	6	2	2	NUM
m-930	78	7	01	01	NUM
m-930	78	8	0	0	NUM
m-930	78	9	1	1	NUM
m-930	78	10	:	:	SYM
m-930	78	11	0	0	NUM
m-930	79	1	̀	̀	VERB
m-930	79	2	10	10	NUM
m-930	79	3	dudud	dudud	NOUN
m-930	79	4	r	r	NOUN
m-930	79	5	r	r	NOUN
m-930	79	6	mu	mu	NOUN
m-930	79	7	r	r	PROPN
m-930	79	8	dr	dr	PROPN
m-930	79	9	dr	dr	PROPN
m-930	79	10	dr	dr	PROPN
m-930	79	11			PROPN
m-930	79	12			NOUN
m-930	79	13			PROPN
m-930	79	14			PROPN
m-930	79	15			VERB
m-930	79	16			PROPN
m-930	79	17			PUNCT
m-930	79	18			PROPN
m-930	80	1			PROPN
m-930	80	2			PROPN
m-930	81	1			ADJ
m-930	81	2			PROPN
m-930	81	3			PROPN
m-930	81	4			NOUN
m-930	81	5			NOUN
m-930	81	6			PROPN
m-930	81	7	2	2	NUM
m-930	81	8	0	0	NUM
m-930	81	9	0	0	NUM
m-930	81	10	01	01	NUM
m-930	81	11	:	:	SYM
m-930	81	12	0	0	NUM
m-930	82	1	̀	̀	ADJ
m-930	82	2	11c	11c	NOUN
m-930	82	3	d	d	NOUN
m-930	82	4	dud	dud	NOUN
m-930	82	5	r	r	NOUN
m-930	82	6	e	e	NOUN
m-930	82	7	r	r	PROPN
m-930	82	8	dr	dr	PROPN
m-930	82	9	dr	dr	PROPN
m-930	82	10	dr	dr	PROPN
m-930	82	11			PROPN
m-930	82	12			PROPN
m-930	82	13			NOUN
m-930	82	14			PROPN
m-930	82	15			PROPN
m-930	82	16			PROPN
m-930	82	17			ADV
m-930	82	18			PUNCT
m-930	83	1			PROPN
m-930	83	2			PROPN
m-930	83	3			PROPN
m-930	84	1			ADJ
m-930	84	2			PROPN
m-930	84	3			PROPN
m-930	84	4			NOUN
m-930	84	5			NOUN
m-930	84	6			PROPN
m-930	84	7	4	4	NUM
m-930	84	8	20	20	NUM
m-930	84	9	01	01	NUM
m-930	84	10	1	1	NUM
m-930	84	11	0	0	NUM
m-930	84	12	1	1	NUM
m-930	84	13	:	:	SYM
m-930	84	14	2	2	NUM
m-930	84	15	2	2	NUM
m-930	84	16	0	0	NUM
m-930	84	17	̀	̀	VERB
m-930	84	18	12c	12c	NOUN
m-930	84	19	r	r	AUX
m-930	84	20	c	c	NOUN
m-930	84	21	du	du	NOUN
m-930	84	22	dud	dud	VERB
m-930	84	23	dud	dud	NOUN
m-930	84	24	r	r	NOUN
m-930	84	25	e	e	PROPN
m-930	84	26	b	b	PROPN
m-930	84	27	e	e	ADP
m-930	84	28	mu	mu	PROPN
m-930	84	29	r	r	PROPN
m-930	84	30	dr	dr	PROPN
m-930	84	31	dr	dr	PROPN
m-930	84	32	dr	dr	PROPN
m-930	84	33	dr	dr	PROPN
m-930	84	34	dr	dr	PROPN
m-930	84	35			PROPN
m-930	84	36			PROPN
m-930	84	37			NOUN
m-930	84	38			PROPN
m-930	84	39			PROPN
m-930	84	40			ADV
m-930	84	41			VERB
m-930	84	42			X
m-930	84	43			PUNCT
m-930	85	1			PROPN
m-930	85	2			PROPN
m-930	85	3			PROPN
m-930	86	1			ADJ
m-930	86	2			PROPN
m-930	86	3			PROPN
m-930	86	4			NOUN
m-930	86	5	solving	solve	VERB
m-930	86	6	eqns	eqns	NOUN
m-930	86	7	(	(	PUNCT
m-930	86	8	9)-(12	9)-(12	NUM
m-930	86	9	)	)	PUNCT
m-930	86	10	with	with	ADP
m-930	86	11	the	the	DET
m-930	86	12	condition	condition	NOUN
m-930	86	13	(	(	PUNCT
m-930	86	14	7	7	NUM
m-930	86	15	)	)	PUNCT
m-930	86	16	,	,	PUNCT
m-930	86	17	we	we	PRON
m-930	86	18	have	have	VERB
m-930	86	19	ijo	ijo	NOUN
m-930	86	20	journals	journal	NOUN
m-930	86	21	volume	volume	NOUN
m-930	86	22	07	07	NUM
m-930	86	23	|	|	NOUN
m-930	86	24	issue	issue	NOUN
m-930	86	25	09	09	NUM
m-930	87	1	|	|	ADV
m-930	87	2	september	september	PROPN
m-930	87	3	2024	2024	NUM
m-930	88	1	|	|	ADV
m-930	88	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	88	3	4	4	NUM
m-930	88	4	ijo	ijo	PROPN
m-930	88	5	international	international	ADJ
m-930	88	6	journal	journal	PROPN
m-930	88	7	of	of	ADP
m-930	88	8	mathematics	mathematics	PROPN
m-930	88	9	(	(	PUNCT
m-930	88	10	issn	issn	PROPN
m-930	88	11	:	:	PUNCT
m-930	88	12	2992	2992	NUM
m-930	88	13	-	-	SYM
m-930	88	14	4421	4421	NUM
m-930	88	15	)	)	PUNCT
m-930	89	1	*	*	PUNCT
m-930	89	2	1	1	NUM
m-930	89	3	obi	obi	NOUN
m-930	89	4	,	,	PUNCT
m-930	89	5	boniface	boniface	NOUN
m-930	89	6	inalu	inalu	NOUN
m-930	89	7	*	*	PUNCT
m-930	89	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	89	9	volume	volume	NOUN
m-930	89	10	07	07	NUM
m-930	89	11	||	||	NOUN
m-930	89	12	issue	issue	NOUN
m-930	89	13	09	09	NUM
m-930	89	14	||	||	NOUN
m-930	89	15	september	september	PROPN
m-930	89	16	,	,	PUNCT
m-930	89	17	2024	2024	NUM
m-930	89	18	||	||	NUM
m-930	89	19	“	"	PUNCT
m-930	89	20	analytical	analytical	ADJ
m-930	89	21	study	study	NOUN
m-930	89	22	of	of	ADP
m-930	89	23	incompressible	incompressible	ADJ
m-930	89	24	mhd	mhd	PROPN
m-930	89	25	non	non	ADJ
m-930	89	26	-	-	ADJ
m-930	89	27	newtonian	newtonian	ADJ
m-930	89	28	fluid	fluid	NOUN
m-930	89	29	in	in	ADP
m-930	89	30	cylindrical	cylindrical	ADJ
m-930	89	31	pipe	pipe	NOUN
m-930	89	32	with	with	ADP
m-930	89	33	isothermal	isothermal	ADJ
m-930	89	34	wall	wall	NOUN
m-930	89	35	and	and	CCONJ
m-930	89	36	temperature	temperature	NOUN
m-930	89	37	-	-	PUNCT
m-930	89	38	dependent	dependent	ADJ
m-930	89	39	viscosity	viscosity	NOUN
m-930	89	40	"	"	PUNCT
m-930	89	41			NOUN
m-930	89	42			PROPN
m-930	89	43			NOUN
m-930	89	44			SYM
m-930	89	45			NOUN
m-930	89	46			NOUN
m-930	89	47	2	2	NUM
m-930	89	48	2	2	NUM
m-930	89	49	2	2	NUM
m-930	89	50	4	4	NUM
m-930	89	51	4	4	NUM
m-930	89	52	4	4	NUM
m-930	89	53	4	4	NUM
m-930	89	54	6	6	NUM
m-930	89	55	6	6	NUM
m-930	89	56	2	2	NUM
m-930	89	57	4	4	NUM
m-930	89	58	1	1	NUM
m-930	89	59	1	1	NUM
m-930	89	60	1	1	NUM
m-930	89	61	1	1	NUM
m-930	89	62	1	1	NUM
m-930	89	63	1	1	NUM
m-930	89	64	1	1	NUM
m-930	89	65	13	13	NUM
m-930	89	66	4	4	NUM
m-930	89	67	4	4	NUM
m-930	89	68	392	392	NUM
m-930	89	69	16	16	NUM
m-930	89	70	48	48	NUM
m-930	89	71	392	392	NUM
m-930	89	72	24	24	NUM
m-930	89	73	1	1	NUM
m-930	89	74	1	1	NUM
m-930	89	75	1	1	NUM
m-930	89	76	1	1	NUM
m-930	89	77	1	1	NUM
m-930	89	78	1	1	NUM
m-930	89	79	16	16	NUM
m-930	89	80	16	16	NUM
m-930	89	81	4536	4536	NUM
m-930	89	82	128	128	NUM
m-930	89	83	432	432	NUM
m-930	89	84	128	128	NUM
m-930	89	85	1	1	NUM
m-930	89	86	1	1	NUM
m-930	89	87	1	1	NUM
m-930	89	88	19	19	NUM
m-930	89	89	16	16	NUM
m-930	89	90	64	64	NUM
m-930	89	91	4536	4536	NUM
m-930	89	92	3456	3456	NUM
m-930	89	93	c	c	NOUN
m-930	89	94	c	c	NOUN
m-930	89	95	r	r	NOUN
m-930	89	96	c	c	NOUN
m-930	89	97	c	c	NOUN
m-930	89	98	u	u	NOUN
m-930	90	1	r	r	NOUN
m-930	90	2	r	r	NOUN
m-930	90	3	r	r	NOUN
m-930	90	4	m	m	NOUN
m-930	90	5	r	r	NOUN
m-930	90	6	r	r	NOUN
m-930	90	7	m	m	NOUN
m-930	90	8	r	r	NOUN
m-930	90	9	e	e	NOUN
m-930	90	10	r	r	NOUN
m-930	90	11	e	e	NOUN
m-930	90	12	r	r	NOUN
m-930	90	13	m	m	VERB
m-930	90	14	r	r	NOUN
m-930	90	15	r	r	NOUN
m-930	90	16	r	r	NOUN
m-930	90	17	b	b	NOUN
m-930	90	18	e	e	NOUN
m-930	90	19	m	m	NOUN
m-930	90	20	r	r	NOUN
m-930	90	21	r	r	NOUN
m-930	90	22	e	e	PROPN
m-930	90	23			NOUN
m-930	90	24			PROPN
m-930	90	25			PROPN
m-930	90	26			NOUN
m-930	90	27			PROPN
m-930	90	28			PROPN
m-930	90	29			PROPN
m-930	90	30			PROPN
m-930	90	31			ADV
m-930	90	32			PUNCT
m-930	90	33			PROPN
m-930	90	34			NOUN
m-930	90	35			PROPN
m-930	90	36			X
m-930	90	37			PROPN
m-930	91	1			ADJ
m-930	91	2			NOUN
m-930	91	3			NOUN
m-930	91	4			NOUN
m-930	91	5			NOUN
m-930	91	6			PROPN
m-930	91	7			PROPN
m-930	91	8			NOUN
m-930	91	9			PROPN
m-930	92	1			PROPN
m-930	92	2			PROPN
m-930	92	3			PUNCT
m-930	92	4			PROPN
m-930	92	5			PROPN
m-930	92	6			PROPN
m-930	92	7			PROPN
m-930	92	8			PRON
m-930	92	9			PROPN
m-930	92	10			PROPN
m-930	92	11			NOUN
m-930	93	1			PROPN
m-930	93	2			PROPN
m-930	93	3			PROPN
m-930	93	4			PROPN
m-930	93	5			NOUN
m-930	93	6			NOUN
m-930	93	7			NOUN
m-930	93	8			PROPN
m-930	93	9			PROPN
m-930	93	10			PROPN
m-930	93	11			PUNCT
m-930	93	12			PROPN
m-930	93	13			PROPN
m-930	93	14			CCONJ
m-930	94	1			PROPN
m-930	94	2			PROPN
m-930	94	3			NOUN
m-930	94	4			SYM
m-930	94	5	1	1	NUM
m-930	94	6	3	3	NUM
m-930	94	7	14	14	NUM
m-930	94	8	288	288	NUM
m-930	94	9	64	64	NUM
m-930	94	10	r	r	NOUN
m-930	94	11	cm	cm	NOUN
m-930	94	12	b	b	NOUN
m-930	95	1	e	e	X
m-930	95	2	m	m	PROPN
m-930	95	3			NOUN
m-930	95	4			PROPN
m-930	95	5			PROPN
m-930	95	6			VERB
m-930	95	7			PROPN
m-930	95	8			PROPN
m-930	95	9			PROPN
m-930	96	1			PROPN
m-930	96	2			NOUN
m-930	96	3			NOUN
m-930	96	4	3.2	3.2	NUM
m-930	96	5	.	.	PUNCT
m-930	97	1	vogel	vogel	PROPN
m-930	97	2	’s	’s	PART
m-930	97	3	model	model	NOUN
m-930	97	4	viscosity	viscosity	NOUN
m-930	97	5	in	in	ADP
m-930	97	6	this	this	DET
m-930	97	7	section	section	NOUN
m-930	97	8	,	,	PUNCT
m-930	97	9	we	we	PRON
m-930	97	10	use	use	VERB
m-930	97	11	vogel	vogel	NOUN
m-930	97	12	’s	’s	PART
m-930	97	13	model	model	NOUN
m-930	97	14	to	to	PART
m-930	97	15	represent	represent	VERB
m-930	97	16	temperature	temperature	NOUN
m-930	97	17	–	–	PUNCT
m-930	97	18	dependent	dependent	ADJ
m-930	97	19	viscosity	viscosity	NOUN
m-930	97	20	and	and	CCONJ
m-930	97	21	we	we	PRON
m-930	97	22	apply	apply	VERB
m-930	97	23	the	the	DET
m-930	97	24	massaudi	massaudi	NOUN
m-930	97	25	and	and	CCONJ
m-930	97	26	chritie	chritie	NOUN
m-930	97	27	(	(	PUNCT
m-930	97	28	1995	1995	NUM
m-930	97	29	)	)	PUNCT
m-930	97	30	approach	approach	NOUN
m-930	97	31	.	.	PUNCT
m-930	98	1	the	the	DET
m-930	98	2	equations	equation	NOUN
m-930	98	3	for	for	ADP
m-930	98	4	momentum	momentum	NOUN
m-930	98	5	and	and	CCONJ
m-930	98	6	energy	energy	NOUN
m-930	98	7	for	for	ADP
m-930	98	8	this	this	DET
m-930	98	9	model	model	NOUN
m-930	98	10	are	be	AUX
m-930	98	11	:	:	PUNCT
m-930	98	12			NOUN
m-930	98	13			PROPN
m-930	98	14	3	3	NUM
m-930	98	15	1	1	NUM
m-930	98	16	1	1	NUM
m-930	98	17	15	15	NUM
m-930	98	18	d	d	SYM
m-930	98	19	du	du	PROPN
m-930	98	20	d	d	X
m-930	98	21	du	du	PROPN
m-930	98	22	d	d	X
m-930	98	23	du	du	PROPN
m-930	98	24	r	r	NOUN
m-930	98	25	r	r	NOUN
m-930	98	26	mu	mu	PROPN
m-930	98	27	dr	dr	PROPN
m-930	98	28	dr	dr	PROPN
m-930	98	29	r	r	PROPN
m-930	98	30	dr	dr	PROPN
m-930	98	31	dr	dr	PROPN
m-930	98	32	r	r	PROPN
m-930	98	33	dr	dr	PROPN
m-930	98	34	dr	dr	PROPN
m-930	98	35			NOUN
m-930	98	36			NOUN
m-930	98	37			NOUN
m-930	98	38			NOUN
m-930	98	39			PROPN
m-930	98	40			PROPN
m-930	98	41			PROPN
m-930	98	42			VERB
m-930	98	43			PROPN
m-930	98	44			PROPN
m-930	98	45			PROPN
m-930	98	46			PROPN
m-930	99	1			PROPN
m-930	99	2			PROPN
m-930	100	1			ADJ
m-930	100	2			PROPN
m-930	100	3			PROPN
m-930	100	4			NOUN
m-930	100	5			NOUN
m-930	100	6			PROPN
m-930	100	7	2	2	NUM
m-930	100	8	4	4	NUM
m-930	100	9	21	21	NUM
m-930	100	10	2	2	NUM
m-930	100	11	0	0	NUM
m-930	100	12	16c	16c	NOUN
m-930	100	13	r	r	NOUN
m-930	100	14	d	d	PROPN
m-930	100	15	d	d	X
m-930	100	16	du	du	X
m-930	100	17	du	du	PROPN
m-930	100	18	r	r	PROPN
m-930	100	19	e	e	PROPN
m-930	100	20	b	b	X
m-930	100	21	mu	mu	PROPN
m-930	100	22	r	r	PROPN
m-930	100	23	dr	dr	PROPN
m-930	100	24	dr	dr	PROPN
m-930	100	25	dr	dr	PROPN
m-930	100	26	dr	dr	PROPN
m-930	100	27			PROPN
m-930	100	28			PROPN
m-930	100	29			PROPN
m-930	100	30			NOUN
m-930	100	31			PROPN
m-930	100	32			NOUN
m-930	100	33			PROPN
m-930	100	34			PROPN
m-930	100	35			PROPN
m-930	100	36			ADV
m-930	100	37			VERB
m-930	100	38			X
m-930	100	39			PUNCT
m-930	101	1			PROPN
m-930	101	2			PROPN
m-930	101	3			INTJ
m-930	102	1			PROPN
m-930	102	2			PROPN
m-930	103	1			ADJ
m-930	103	2			PROPN
m-930	103	3			PROPN
m-930	103	4			NOUN
m-930	103	5			PROPN
m-930	103	6			NOUN
m-930	103	7			NOUN
m-930	103	8	exp	exp	PROPN
m-930	103	9	17w	17w	NOUN
m-930	103	10	q	q	VERB
m-930	103	11	a	a	DET
m-930	103	12			NOUN
m-930	103	13			NOUN
m-930	103	14			NOUN
m-930	104	1			PROPN
m-930	104	2			NOUN
m-930	104	3			PROPN
m-930	104	4			PROPN
m-930	104	5			PROPN
m-930	104	6			PROPN
m-930	104	7			NUM
m-930	104	8			NOUN
m-930	104	9	by	by	ADP
m-930	104	10	taylor	taylor	PROPN
m-930	104	11	series	series	PROPN
m-930	104	12	expansion	expansion	PROPN
m-930	104	13	of	of	ADP
m-930	104	14	(	(	PUNCT
m-930	104	15	17	17	NUM
m-930	104	16	)	)	PUNCT
m-930	105	1	,	,	PUNCT
m-930	105	2	we	we	PRON
m-930	105	3	have	have	VERB
m-930	105	4			NOUN
m-930	105	5	2	2	ADJ
m-930	105	6	1	1	NUM
m-930	105	7	18	18	NUM
m-930	105	8	q	q	NOUN
m-930	105	9	a	a	DET
m-930	105	10			NOUN
m-930	105	11			NOUN
m-930	105	12			NOUN
m-930	105	13			NOUN
m-930	105	14			NOUN
m-930	106	1			PROPN
m-930	107	1			PROPN
m-930	107	2			CCONJ
m-930	108	1			ADJ
m-930	108	2			NOUN
m-930	108	3	where	where	SCONJ
m-930	108	4			NOUN
m-930	108	5	exp	exp	PROPN
m-930	108	6	19w	19w	NOUN
m-930	108	7	q	q	X
m-930	108	8	a	a	DET
m-930	108	9			NOUN
m-930	108	10			NOUN
m-930	108	11			NOUN
m-930	108	12			NOUN
m-930	108	13			PROPN
m-930	108	14			PROPN
m-930	109	1			PROPN
m-930	109	2			CCONJ
m-930	110	1			ADJ
m-930	110	2			NOUN
m-930	110	3	and	and	CCONJ
m-930	110	4	aq	aq	AUX
m-930	110	5	being	be	AUX
m-930	110	6	parameters	parameter	NOUN
m-930	110	7	relating	relate	VERB
m-930	110	8	to	to	ADP
m-930	110	9	vogel	vogel	PROPN
m-930	110	10	’s	’s	PART
m-930	110	11	model	model	PROPN
m-930	110	12	ijo	ijo	PROPN
m-930	110	13	journals	journals	PROPN
m-930	110	14	volume	volume	NOUN
m-930	110	15	07	07	NUM
m-930	110	16	|	|	NOUN
m-930	110	17	issue	issue	NOUN
m-930	110	18	09	09	NUM
m-930	110	19	|	|	ADV
m-930	110	20	september	september	PROPN
m-930	110	21	2024	2024	NUM
m-930	111	1	|	|	ADV
m-930	111	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	111	3	5	5	NUM
m-930	111	4	ijo	ijo	PROPN
m-930	111	5	international	international	ADJ
m-930	111	6	journal	journal	PROPN
m-930	111	7	of	of	ADP
m-930	111	8	mathematics	mathematics	PROPN
m-930	111	9	(	(	PUNCT
m-930	111	10	issn	issn	PROPN
m-930	111	11	:	:	PUNCT
m-930	111	12	2992	2992	NUM
m-930	111	13	-	-	SYM
m-930	111	14	4421	4421	NUM
m-930	111	15	)	)	PUNCT
m-930	112	1	*	*	PUNCT
m-930	112	2	1	1	NUM
m-930	112	3	obi	obi	NOUN
m-930	112	4	,	,	PUNCT
m-930	112	5	boniface	boniface	NOUN
m-930	112	6	inalu	inalu	NOUN
m-930	112	7	*	*	PUNCT
m-930	112	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	112	9	volume	volume	NOUN
m-930	112	10	07	07	NUM
m-930	112	11	||	||	NOUN
m-930	112	12	issue	issue	NOUN
m-930	112	13	09	09	NUM
m-930	112	14	||	||	NOUN
m-930	112	15	september	september	PROPN
m-930	112	16	,	,	PUNCT
m-930	112	17	2024	2024	NUM
m-930	112	18	||	||	NUM
m-930	112	19	“	"	PUNCT
m-930	112	20	analytical	analytical	ADJ
m-930	112	21	study	study	NOUN
m-930	112	22	of	of	ADP
m-930	112	23	incompressible	incompressible	ADJ
m-930	112	24	mhd	mhd	PROPN
m-930	112	25	non	non	ADJ
m-930	112	26	-	-	ADJ
m-930	112	27	newtonian	newtonian	ADJ
m-930	112	28	fluid	fluid	NOUN
m-930	112	29	in	in	ADP
m-930	112	30	cylindrical	cylindrical	ADJ
m-930	112	31	pipe	pipe	NOUN
m-930	112	32	with	with	ADP
m-930	112	33	isothermal	isothermal	ADJ
m-930	112	34	wall	wall	NOUN
m-930	112	35	and	and	CCONJ
m-930	112	36	temperature	temperature	NOUN
m-930	112	37	-	-	PUNCT
m-930	112	38	dependent	dependent	ADJ
m-930	112	39	viscosity	viscosity	NOUN
m-930	112	40	"	"	PUNCT
m-930	112	41			PROPN
m-930	112	42	2	2	NOUN
m-930	112	43	,	,	PUNCT
m-930	112	44	20	20	NUM
m-930	112	45	d	d	NOUN
m-930	112	46	q	q	X
m-930	113	1	d	d	X
m-930	113	2	q	q	X
m-930	113	3	q	q	PROPN
m-930	113	4	dr	dr	PROPN
m-930	113	5	a	a	DET
m-930	113	6	dr	dr	PROPN
m-930	113	7			NOUN
m-930	113	8			NOUN
m-930	113	9			X
m-930	113	10			VERB
m-930	113	11			NUM
m-930	113	12	substituting	substituting	NOUN
m-930	113	13	eqns	eqns	PROPN
m-930	113	14	(	(	PUNCT
m-930	113	15	8)	8)	NUM
m-930	113	16	,	,	PUNCT
m-930	113	17	(	(	PUNCT
m-930	113	18	18	18	NUM
m-930	113	19	)	)	PUNCT
m-930	113	20	and	and	CCONJ
m-930	113	21	(	(	PUNCT
m-930	113	22	20	20	NUM
m-930	113	23	)	)	PUNCT
m-930	113	24	into	into	ADP
m-930	113	25	eqns	eqns	PROPN
m-930	113	26	(	(	PUNCT
m-930	113	27	15	15	NUM
m-930	113	28	)	)	PUNCT
m-930	113	29	and	and	CCONJ
m-930	113	30	(	(	PUNCT
m-930	113	31	16	16	NUM
m-930	113	32	)	)	PUNCT
m-930	113	33	,	,	PUNCT
m-930	113	34	we	we	PRON
m-930	113	35	have	have	VERB
m-930	113	36			NOUN
m-930	113	37	0	0	NOUN
m-930	113	38	01	01	NUM
m-930	114	1	:	:	PUNCT
m-930	115	1	1̀	1̀	NUM
m-930	115	2	21	21	NUM
m-930	115	3	dud	dud	NOUN
m-930	115	4	r	r	NOUN
m-930	115	5	r	r	PROPN
m-930	115	6	dr	dr	PROPN
m-930	115	7	dr	dr	PROPN
m-930	115	8			PROPN
m-930	115	9			PUNCT
m-930	115	10			NOUN
m-930	115	11			NOUN
m-930	115	12			PROPN
m-930	116	1			PROPN
m-930	116	2			PROPN
m-930	117	1			PROPN
m-930	117	2			PROPN
m-930	117	3			NOUN
m-930	117	4			PROPN
m-930	117	5	3	3	NUM
m-930	117	6	30	30	NUM
m-930	117	7	0	0	NUM
m-930	117	8	0	0	NUM
m-930	117	9	01	01	NUM
m-930	117	10	02	02	NUM
m-930	117	11	2	2	NUM
m-930	117	12	1	1	NUM
m-930	117	13	1	1	NUM
m-930	117	14	:	:	SYM
m-930	117	15	0	0	NUM
m-930	118	1	̀	̀	VERB
m-930	118	2	22	22	NUM
m-930	118	3	du	du	NOUN
m-930	118	4	d	d	PROPN
m-930	118	5	du	du	PROPN
m-930	118	6	dudud	dudud	PROPN
m-930	118	7	q	q	PROPN
m-930	118	8	q	q	PROPN
m-930	119	1	d	d	NOUN
m-930	119	2	r	r	NOUN
m-930	119	3	r	r	NOUN
m-930	119	4	r	r	NOUN
m-930	119	5	mu	mu	NOUN
m-930	119	6	r	r	PROPN
m-930	119	7	dr	dr	PROPN
m-930	119	8	dr	dr	PROPN
m-930	119	9	a	a	PROPN
m-930	119	10	dr	dr	PROPN
m-930	119	11	a	a	DET
m-930	119	12	dr	dr	PROPN
m-930	119	13	dr	dr	PROPN
m-930	119	14	r	r	PROPN
m-930	119	15	dr	dr	PROPN
m-930	119	16	dr	dr	PROPN
m-930	119	17			PROPN
m-930	119	18			PROPN
m-930	119	19			NOUN
m-930	119	20			X
m-930	119	21			X
m-930	119	22			NOUN
m-930	119	23			PROPN
m-930	119	24			PROPN
m-930	119	25			NOUN
m-930	119	26			PROPN
m-930	119	27			NOUN
m-930	119	28			PROPN
m-930	119	29			PROPN
m-930	119	30			ADV
m-930	119	31			PUNCT
m-930	119	32			X
m-930	119	33			PUNCT
m-930	119	34			NOUN
m-930	120	1			PROPN
m-930	120	2			PROPN
m-930	120	3			INTJ
m-930	120	4			PROPN
m-930	120	5			VERB
m-930	121	1			VERB
m-930	121	2			NOUN
m-930	121	3			PROPN
m-930	121	4			NOUN
m-930	121	5			NOUN
m-930	121	6			NOUN
m-930	121	7			NOUN
m-930	121	8			NOUN
m-930	121	9			PROPN
m-930	121	10	2	2	NUM
m-930	121	11	0	0	NUM
m-930	121	12	0	0	NUM
m-930	121	13	01	01	NUM
m-930	121	14	:	:	SYM
m-930	121	15	0	0	NUM
m-930	122	1	̀	̀	VERB
m-930	122	2	23c	23c	NOUN
m-930	122	3	d	d	NOUN
m-930	122	4	dud	dud	NOUN
m-930	122	5	r	r	NOUN
m-930	122	6	e	e	NOUN
m-930	122	7	r	r	PROPN
m-930	122	8	dr	dr	PROPN
m-930	122	9	dr	dr	PROPN
m-930	122	10	dr	dr	PROPN
m-930	122	11			PROPN
m-930	122	12			PROPN
m-930	122	13			PUNCT
m-930	122	14			NOUN
m-930	122	15			PROPN
m-930	122	16			PROPN
m-930	122	17			PROPN
m-930	122	18			ADV
m-930	122	19			PUNCT
m-930	123	1			PROPN
m-930	123	2			PROPN
m-930	123	3			PROPN
m-930	124	1			ADJ
m-930	124	2			PROPN
m-930	124	3			PROPN
m-930	124	4			NOUN
m-930	124	5			NOUN
m-930	124	6			PROPN
m-930	124	7	4	4	NUM
m-930	124	8	20	20	NUM
m-930	124	9	0	0	NUM
m-930	124	10	0	0	NUM
m-930	124	11	01	01	NUM
m-930	124	12	1	1	NUM
m-930	124	13	02	02	NUM
m-930	124	14	1	1	NUM
m-930	124	15	1	1	NUM
m-930	124	16	:	:	SYM
m-930	124	17	2	2	NUM
m-930	124	18	0	0	NUM
m-930	124	19	24c	24c	NOUN
m-930	125	1	r	r	NOUN
m-930	125	2	q	q	NOUN
m-930	125	3	d	d	NOUN
m-930	125	4	du	du	PROPN
m-930	125	5	dud	dud	NOUN
m-930	125	6	dud	dud	NOUN
m-930	126	1	d	d	NOUN
m-930	126	2	r	r	NOUN
m-930	126	3	r	r	NOUN
m-930	126	4	e	e	NOUN
m-930	126	5	b	b	X
m-930	126	6	mu	mu	PROPN
m-930	126	7	r	r	PROPN
m-930	126	8	dr	dr	PROPN
m-930	126	9	dr	dr	PROPN
m-930	126	10	r	r	PROPN
m-930	126	11	dr	dr	PROPN
m-930	127	1	a	a	PROPN
m-930	127	2	dr	dr	PROPN
m-930	127	3	dr	dr	PROPN
m-930	127	4	dr	dr	PROPN
m-930	127	5	dr	dr	PROPN
m-930	127	6			PROPN
m-930	127	7			PROPN
m-930	128	1			PROPN
m-930	128	2			NOUN
m-930	128	3			X
m-930	128	4			NOUN
m-930	128	5			NOUN
m-930	128	6			VERB
m-930	128	7			PROPN
m-930	129	1			PROPN
m-930	129	2			PROPN
m-930	129	3			ADV
m-930	129	4			CCONJ
m-930	129	5			X
m-930	129	6			PUNCT
m-930	130	1			PROPN
m-930	130	2			PROPN
m-930	130	3			INTJ
m-930	131	1			PROPN
m-930	131	2			PROPN
m-930	132	1			ADJ
m-930	132	2			PROPN
m-930	132	3			PROPN
m-930	132	4			NOUN
m-930	132	5			PROPN
m-930	132	6			NOUN
m-930	132	7	solving	solve	VERB
m-930	132	8	the	the	DET
m-930	132	9	second	second	ADJ
m-930	132	10	order	order	NOUN
m-930	132	11	nonlinear	nonlinear	ADJ
m-930	132	12	ordinary	ordinary	ADJ
m-930	132	13	differential	differential	NOUN
m-930	132	14	eqns	eqns	NOUN
m-930	132	15	(	(	PUNCT
m-930	132	16	21	21	NUM
m-930	132	17	-	-	SYM
m-930	132	18	24	24	NUM
m-930	132	19	)	)	PUNCT
m-930	132	20	with	with	ADP
m-930	132	21	the	the	DET
m-930	132	22	condition	condition	NOUN
m-930	132	23	(	(	PUNCT
m-930	132	24	7	7	X
m-930	132	25	)	)	PUNCT
m-930	132	26	yields	yield	VERB
m-930	132	27			NOUN
m-930	132	28			SYM
m-930	132	29			NOUN
m-930	132	30			NOUN
m-930	132	31	2	2	NUM
m-930	132	32	2	2	NUM
m-930	132	33	6	6	NUM
m-930	132	34	6	6	NUM
m-930	132	35	2	2	NUM
m-930	132	36	4	4	NUM
m-930	132	37	4	4	NUM
m-930	132	38	2	2	NUM
m-930	132	39	4	4	NUM
m-930	132	40	3	3	NUM
m-930	132	41	2	2	NUM
m-930	132	42	4	4	NUM
m-930	132	43	4	4	NUM
m-930	132	44	2	2	NUM
m-930	132	45	3	3	NUM
m-930	132	46	2	2	NUM
m-930	132	47	4	4	NUM
m-930	132	48	4	4	NUM
m-930	132	49	2	2	NUM
m-930	132	50	3	3	NUM
m-930	132	51	1	1	NUM
m-930	132	52	1	1	NUM
m-930	132	53	1	1	NUM
m-930	132	54	1	1	NUM
m-930	132	55	1	1	NUM
m-930	132	56	4	4	NUM
m-930	132	57	4	4	NUM
m-930	132	58	256	256	NUM
m-930	132	59	768	768	NUM
m-930	132	60	1152	1152	NUM
m-930	132	61	1	1	NUM
m-930	132	62	1	1	NUM
m-930	132	63	1	1	NUM
m-930	132	64	1	1	NUM
m-930	132	65	1	1	NUM
m-930	132	66	1	1	NUM
m-930	132	67	1	1	NUM
m-930	132	68	25	25	NUM
m-930	132	69	24	24	NUM
m-930	132	70	16	16	NUM
m-930	132	71	64	64	NUM
m-930	132	72	576	576	NUM
m-930	132	73	24	24	NUM
m-930	132	74	16	16	NUM
m-930	132	75	64	64	NUM
m-930	132	76	c	c	NOUN
m-930	132	77	c	c	NOUN
m-930	132	78	c	c	NOUN
m-930	132	79	c	c	NOUN
m-930	132	80	q	q	X
m-930	132	81	q	q	X
m-930	132	82	u	u	NOUN
m-930	133	1	r	r	NOUN
m-930	133	2	r	r	NOUN
m-930	133	3	r	r	NOUN
m-930	133	4	e	e	NOUN
m-930	133	5	r	r	NOUN
m-930	133	6	e	e	NOUN
m-930	133	7	r	r	NOUN
m-930	133	8	e	e	X
m-930	133	9	a	a	PRON
m-930	133	10	a	a	PRON
m-930	133	11	q	q	NOUN
m-930	133	12	r	r	NOUN
m-930	133	13	m	m	NOUN
m-930	133	14	r	r	NOUN
m-930	133	15	r	r	NOUN
m-930	133	16	e	e	NOUN
m-930	133	17	m	m	PROPN
m-930	133	18	a	a	DET
m-930	133	19			NOUN
m-930	133	20			NOUN
m-930	133	21			X
m-930	133	22			X
m-930	133	23			X
m-930	133	24			X
m-930	133	25			X
m-930	133	26			X
m-930	133	27			X
m-930	133	28			X
m-930	133	29			X
m-930	133	30			X
m-930	133	31			X
m-930	133	32			NOUN
m-930	133	33			NOUN
m-930	133	34			PROPN
m-930	133	35			NOUN
m-930	133	36			PROPN
m-930	134	1			PROPN
m-930	134	2			PROPN
m-930	134	3			PUNCT
m-930	134	4			PROPN
m-930	134	5			PROPN
m-930	134	6			ADV
m-930	134	7			PROPN
m-930	134	8			PROPN
m-930	135	1			PROPN
m-930	135	2			X
m-930	136	1			PROPN
m-930	136	2			PROPN
m-930	136	3			PROPN
m-930	136	4			NOUN
m-930	136	5			NOUN
m-930	136	6			PROPN
m-930	136	7			NOUN
m-930	136	8			PROPN
m-930	136	9			PROPN
m-930	136	10			PROPN
m-930	136	11			VERB
m-930	136	12			PUNCT
m-930	136	13			PROPN
m-930	136	14			PROPN
m-930	136	15			PROPN
m-930	136	16			PROPN
m-930	136	17			PROPN
m-930	136	18			PROPN
m-930	137	1			PROPN
m-930	138	1			INTJ
m-930	139	1			PROPN
m-930	139	2			PROPN
m-930	140	1			ADJ
m-930	140	2			PROPN
m-930	140	3			PROPN
m-930	140	4			NOUN
m-930	140	5			PROPN
m-930	140	6			NOUN
m-930	140	7			NOUN
m-930	140	8			SYM
m-930	140	9			NOUN
m-930	140	10			NOUN
m-930	140	11	2	2	NUM
m-930	140	12	4	4	NUM
m-930	140	13	4	4	NUM
m-930	140	14	8	8	NUM
m-930	140	15	3	3	NUM
m-930	140	16	2	2	NUM
m-930	140	17	6	6	NUM
m-930	140	18	6	6	NUM
m-930	140	19	2	2	NUM
m-930	140	20	4	4	NUM
m-930	140	21	8	8	NUM
m-930	140	22	3	3	NUM
m-930	140	23	2	2	NUM
m-930	140	24	4	4	NUM
m-930	140	25	2	2	NUM
m-930	140	26	6	6	NUM
m-930	140	27	6	6	NUM
m-930	140	28	2	2	NUM
m-930	140	29	2	2	NUM
m-930	140	30	2	2	NUM
m-930	140	31	2	2	NUM
m-930	140	32	6	6	NUM
m-930	140	33	2	2	NUM
m-930	140	34	2	2	NUM
m-930	140	35	2	2	NUM
m-930	140	36	1	1	NUM
m-930	140	37	1	1	NUM
m-930	140	38	1	1	NUM
m-930	140	39	1	1	NUM
m-930	140	40	64	64	NUM
m-930	140	41	4096	4096	NUM
m-930	140	42	8192	8192	NUM
m-930	140	43	1	1	NUM
m-930	140	44	1	1	NUM
m-930	140	45	1	1	NUM
m-930	140	46	1	1	NUM
m-930	140	47	1	1	NUM
m-930	140	48	4096	4096	NUM
m-930	140	49	16384	16384	NUM
m-930	140	50	9	9	NUM
m-930	140	51	16	16	NUM
m-930	140	52	64	64	NUM
m-930	140	53	2051	2051	NUM
m-930	140	54	1	1	NUM
m-930	140	55	3	3	NUM
m-930	140	56	33570816	33570816	NUM
m-930	140	57	9	9	NUM
m-930	140	58	64	64	NUM
m-930	140	59	c	c	NOUN
m-930	140	60	c	c	NOUN
m-930	140	61	c	c	NOUN
m-930	140	62	r	r	NOUN
m-930	140	63	c	c	NOUN
m-930	140	64	r	r	NOUN
m-930	140	65	qe	qe	NOUN
m-930	140	66	r	r	NOUN
m-930	140	67	e	e	NOUN
m-930	140	68	r	r	NOUN
m-930	140	69	r	r	NOUN
m-930	140	70	r	r	NOUN
m-930	140	71	a	a	DET
m-930	140	72	qe	qe	NOUN
m-930	140	73	r	r	NOUN
m-930	140	74	r	r	NOUN
m-930	140	75	r	r	NOUN
m-930	140	76	b	b	NOUN
m-930	140	77	m	m	NOUN
m-930	140	78	r	r	NOUN
m-930	140	79	r	r	NOUN
m-930	140	80	a	a	DET
m-930	140	81	qe	qe	PROPN
m-930	140	82	b	b	PROPN
m-930	140	83	m	m	VERB
m-930	140	84	a	a	DET
m-930	140	85			X
m-930	140	86			NOUN
m-930	140	87			NOUN
m-930	140	88			X
m-930	140	89			X
m-930	140	90			X
m-930	140	91			X
m-930	140	92			X
m-930	140	93			X
m-930	140	94			X
m-930	140	95			X
m-930	140	96			X
m-930	140	97			X
m-930	140	98			NOUN
m-930	140	99			NOUN
m-930	140	100			PROPN
m-930	141	1			PROPN
m-930	141	2			PROPN
m-930	141	3			VERB
m-930	141	4			NOUN
m-930	141	5			PROPN
m-930	141	6			PROPN
m-930	141	7			PROPN
m-930	142	1			PROPN
m-930	142	2			NOUN
m-930	142	3			NOUN
m-930	142	4			PROPN
m-930	142	5			NOUN
m-930	142	6			PROPN
m-930	142	7			PROPN
m-930	142	8			PROPN
m-930	142	9			ADV
m-930	142	10			PUNCT
m-930	142	11			PROPN
m-930	142	12			PROPN
m-930	142	13			PROPN
m-930	143	1			PROPN
m-930	143	2			PROPN
m-930	144	1			ADJ
m-930	144	2			PROPN
m-930	144	3			PROPN
m-930	144	4			NOUN
m-930	144	5			PRON
m-930	144	6			PROPN
m-930	144	7			PROPN
m-930	144	8			ADP
m-930	144	9			PROPN
m-930	144	10			NOUN
m-930	144	11			NOUN
m-930	144	12			SYM
m-930	144	13	26	26	NUM
m-930	144	14	ijo	ijo	PROPN
m-930	144	15	journals	journal	NOUN
m-930	144	16	volume	volume	NOUN
m-930	144	17	07	07	NUM
m-930	144	18	|	|	NOUN
m-930	144	19	issue	issue	NOUN
m-930	144	20	09	09	NUM
m-930	144	21	|	|	ADV
m-930	144	22	september	september	PROPN
m-930	144	23	2024	2024	NUM
m-930	145	1	|	|	ADV
m-930	145	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	145	3	6	6	NUM
m-930	145	4	ijo	ijo	PROPN
m-930	145	5	international	international	ADJ
m-930	145	6	journal	journal	PROPN
m-930	145	7	of	of	ADP
m-930	145	8	mathematics	mathematics	PROPN
m-930	145	9	(	(	PUNCT
m-930	145	10	issn	issn	PROPN
m-930	145	11	:	:	PUNCT
m-930	145	12	2992	2992	NUM
m-930	145	13	-	-	SYM
m-930	145	14	4421	4421	NUM
m-930	145	15	)	)	PUNCT
m-930	146	1	*	*	PUNCT
m-930	146	2	1	1	NUM
m-930	146	3	obi	obi	NOUN
m-930	146	4	,	,	PUNCT
m-930	146	5	boniface	boniface	NOUN
m-930	146	6	inalu	inalu	NOUN
m-930	146	7	*	*	PUNCT
m-930	146	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	146	9	volume	volume	NOUN
m-930	146	10	07	07	NUM
m-930	146	11	||	||	NOUN
m-930	146	12	issue	issue	NOUN
m-930	146	13	09	09	NUM
m-930	146	14	||	||	NOUN
m-930	146	15	september	september	PROPN
m-930	146	16	,	,	PUNCT
m-930	146	17	2024	2024	NUM
m-930	146	18	||	||	NUM
m-930	146	19	“	"	PUNCT
m-930	146	20	analytical	analytical	ADJ
m-930	146	21	study	study	NOUN
m-930	146	22	of	of	ADP
m-930	146	23	incompressible	incompressible	ADJ
m-930	146	24	mhd	mhd	PROPN
m-930	146	25	non	non	ADJ
m-930	146	26	-	-	ADJ
m-930	146	27	newtonian	newtonian	ADJ
m-930	146	28	fluid	fluid	NOUN
m-930	146	29	in	in	ADP
m-930	146	30	cylindrical	cylindrical	ADJ
m-930	146	31	pipe	pipe	NOUN
m-930	146	32	with	with	ADP
m-930	146	33	isothermal	isothermal	ADJ
m-930	146	34	wall	wall	NOUN
m-930	146	35	and	and	CCONJ
m-930	146	36	temperature	temperature	NOUN
m-930	146	37	-	-	PUNCT
m-930	146	38	dependent	dependent	ADJ
m-930	146	39	viscosity	viscosity	NOUN
m-930	146	40	"	"	PUNCT
m-930	146	41	ijo	ijo	PROPN
m-930	146	42	journals	journal	NOUN
m-930	146	43	volume	volume	NOUN
m-930	146	44	07	07	NUM
m-930	147	1	|	|	NOUN
m-930	147	2	issue	issue	NOUN
m-930	147	3	09	09	NUM
m-930	147	4	|	|	ADV
m-930	147	5	september	september	PROPN
m-930	147	6	2024	2024	NUM
m-930	148	1	|	|	ADV
m-930	148	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	148	3	7	7	NUM
m-930	148	4	ijo	ijo	PROPN
m-930	148	5	international	international	ADJ
m-930	148	6	journal	journal	PROPN
m-930	148	7	of	of	ADP
m-930	148	8	mathematics	mathematics	PROPN
m-930	148	9	(	(	PUNCT
m-930	148	10	issn	issn	PROPN
m-930	148	11	:	:	PUNCT
m-930	148	12	2992	2992	NUM
m-930	148	13	-	-	SYM
m-930	148	14	4421	4421	NUM
m-930	148	15	)	)	PUNCT
m-930	149	1	*	*	PUNCT
m-930	149	2	1	1	NUM
m-930	149	3	obi	obi	NOUN
m-930	149	4	,	,	PUNCT
m-930	149	5	boniface	boniface	NOUN
m-930	149	6	inalu	inalu	NOUN
m-930	149	7	*	*	PUNCT
m-930	149	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	149	9	volume	volume	NOUN
m-930	149	10	07	07	NUM
m-930	149	11	||	||	NOUN
m-930	149	12	issue	issue	NOUN
m-930	149	13	09	09	NUM
m-930	149	14	||	||	NOUN
m-930	149	15	september	september	PROPN
m-930	149	16	,	,	PUNCT
m-930	149	17	2024	2024	NUM
m-930	149	18	||	||	NUM
m-930	149	19	“	"	PUNCT
m-930	149	20	analytical	analytical	ADJ
m-930	149	21	study	study	NOUN
m-930	149	22	of	of	ADP
m-930	149	23	incompressible	incompressible	ADJ
m-930	149	24	mhd	mhd	PROPN
m-930	149	25	non	non	ADJ
m-930	149	26	-	-	ADJ
m-930	149	27	newtonian	newtonian	ADJ
m-930	149	28	fluid	fluid	NOUN
m-930	149	29	in	in	ADP
m-930	149	30	cylindrical	cylindrical	ADJ
m-930	149	31	pipe	pipe	NOUN
m-930	149	32	with	with	ADP
m-930	149	33	isothermal	isothermal	ADJ
m-930	149	34	wall	wall	NOUN
m-930	149	35	and	and	CCONJ
m-930	149	36	temperature	temperature	NOUN
m-930	149	37	-	-	PUNCT
m-930	149	38	dependent	dependent	ADJ
m-930	149	39	viscosity	viscosity	NOUN
m-930	149	40	"	"	PUNCT
m-930	149	41	4.0	4.0	NUM
m-930	149	42	results	result	NOUN
m-930	149	43	and	and	CCONJ
m-930	149	44	discussion	discussion	NOUN
m-930	149	45	in	in	ADP
m-930	149	46	order	order	NOUN
m-930	149	47	to	to	PART
m-930	149	48	study	study	VERB
m-930	149	49	the	the	DET
m-930	149	50	behaviour	behaviour	NOUN
m-930	149	51	of	of	ADP
m-930	149	52	some	some	DET
m-930	149	53	physical	physical	ADJ
m-930	149	54	parameters	parameter	NOUN
m-930	149	55	involved	involve	VERB
m-930	149	56	in	in	ADP
m-930	149	57	the	the	DET
m-930	149	58	analysis	analysis	NOUN
m-930	149	59	,	,	PUNCT
m-930	149	60	graphs	graph	NOUN
m-930	149	61	are	be	AUX
m-930	149	62	presented	present	VERB
m-930	149	63	in	in	ADP
m-930	149	64	figures	figure	NOUN
m-930	149	65	(	(	PUNCT
m-930	149	66	1	1	NUM
m-930	149	67	-	-	SYM
m-930	149	68	10	10	NUM
m-930	149	69	)	)	PUNCT
m-930	149	70	.	.	PUNCT
m-930	150	1	the	the	DET
m-930	150	2	solution	solution	NOUN
m-930	150	3	of	of	ADP
m-930	150	4	momentum	momentum	NOUN
m-930	150	5	and	and	CCONJ
m-930	150	6	energy	energy	NOUN
m-930	150	7	equations	equation	NOUN
m-930	150	8	(	(	PUNCT
m-930	150	9	1	1	NUM
m-930	150	10	)	)	PUNCT
m-930	150	11	and	and	CCONJ
m-930	150	12	(	(	PUNCT
m-930	150	13	2	2	X
m-930	150	14	)	)	PUNCT
m-930	150	15	with	with	ADP
m-930	150	16	the	the	DET
m-930	150	17	boundary	boundary	ADJ
m-930	150	18	condion	condion	NOUN
m-930	150	19	(	(	PUNCT
m-930	150	20	3	3	NUM
m-930	150	21	)	)	PUNCT
m-930	150	22	given	give	VERB
m-930	150	23	in	in	ADP
m-930	150	24	equations	equation	NOUN
m-930	150	25	(	(	PUNCT
m-930	150	26	13	13	NUM
m-930	150	27	)	)	PUNCT
m-930	150	28	and	and	CCONJ
m-930	150	29	(	(	PUNCT
m-930	150	30	14	14	NUM
m-930	150	31	)	)	PUNCT
m-930	150	32	.	.	PUNCT
m-930	151	1	figures	figure	NOUN
m-930	151	2	1	1	NUM
m-930	151	3	shows	show	VERB
m-930	151	4	the	the	DET
m-930	151	5	effects	effect	NOUN
m-930	151	6	of	of	ADP
m-930	151	7	third	third	ADJ
m-930	151	8	grade	grade	NOUN
m-930	151	9	parameter	parameter	NOUN
m-930	151	10	on	on	ADP
m-930	151	11	the	the	DET
m-930	151	12	velocity	velocity	NOUN
m-930	151	13	profiles	profile	NOUN
m-930	151	14	.	.	PUNCT
m-930	152	1	results	result	NOUN
m-930	152	2	indicate	indicate	VERB
m-930	152	3	that	that	DET
m-930	152	4	increase	increase	NOUN
m-930	152	5	in	in	ADP
m-930	152	6	third	third	ADJ
m-930	152	7	grade	grade	NOUN
m-930	152	8	parameter	parameter	NOUN
m-930	152	9	decreases	decrease	VERB
m-930	152	10	the	the	DET
m-930	152	11	flow	flow	NOUN
m-930	152	12	velocity	velocity	NOUN
m-930	152	13	.	.	PUNCT
m-930	153	1	this	this	PRON
m-930	153	2	is	be	AUX
m-930	153	3	because	because	SCONJ
m-930	153	4	the	the	DET
m-930	153	5	third	third	ADJ
m-930	153	6	grade	grade	NOUN
m-930	153	7	parameter	parameter	NOUN
m-930	153	8	introduces	introduce	VERB
m-930	153	9	a	a	DET
m-930	153	10	relationship	relationship	NOUN
m-930	153	11	between	between	ADP
m-930	153	12	the	the	DET
m-930	153	13	velocity	velocity	NOUN
m-930	153	14	and	and	CCONJ
m-930	153	15	the	the	DET
m-930	153	16	radial	radial	ADJ
m-930	153	17	distance	distance	NOUN
m-930	153	18	from	from	ADP
m-930	153	19	the	the	DET
m-930	153	20	boundary	boundary	NOUN
m-930	153	21	which	which	PRON
m-930	153	22	is	be	AUX
m-930	153	23	nonlinear	nonlinear	ADJ
m-930	153	24	and	and	CCONJ
m-930	153	25	leads	lead	VERB
m-930	153	26	to	to	PART
m-930	153	27	drop	drop	VERB
m-930	153	28	in	in	ADP
m-930	153	29	flow	flow	NOUN
m-930	153	30	velocity	velocity	NOUN
m-930	153	31	.	.	PUNCT
m-930	154	1	figure	figure	NOUN
m-930	154	2	2	2	NUM
m-930	154	3	is	be	AUX
m-930	154	4	the	the	DET
m-930	154	5	velocity	velocity	NOUN
m-930	154	6	profiles	profile	NOUN
m-930	154	7	for	for	ADP
m-930	154	8	various	various	ADJ
m-930	154	9	values	value	NOUN
m-930	154	10	of	of	ADP
m-930	154	11	the	the	DET
m-930	154	12	magnetic	magnetic	ADJ
m-930	154	13	field	field	NOUN
m-930	154	14	.	.	PUNCT
m-930	155	1	it	it	PRON
m-930	155	2	is	be	AUX
m-930	155	3	observed	observe	VERB
m-930	155	4	from	from	ADP
m-930	155	5	the	the	DET
m-930	155	6	results	result	NOUN
m-930	155	7	that	that	PRON
m-930	155	8	increase	increase	VERB
m-930	155	9	in	in	ADP
m-930	155	10	the	the	DET
m-930	155	11	magnetic	magnetic	ADJ
m-930	155	12	field	field	NOUN
m-930	155	13	decreases	decrease	VERB
m-930	155	14	the	the	DET
m-930	155	15	velocity	velocity	NOUN
m-930	155	16	because	because	SCONJ
m-930	155	17	the	the	DET
m-930	155	18	applied	apply	VERB
m-930	155	19	force	force	NOUN
m-930	155	20	set	set	VERB
m-930	155	21	in	in	ADP
m-930	155	22	by	by	ADP
m-930	155	23	the	the	DET
m-930	155	24	magnetic	magnetic	ADJ
m-930	155	25	field	field	NOUN
m-930	155	26	parameter	parameter	NOUN
m-930	155	27	is	be	AUX
m-930	155	28	perpendicular	perpendicular	ADJ
m-930	155	29	to	to	ADP
m-930	155	30	the	the	DET
m-930	155	31	flow	flow	NOUN
m-930	155	32	direction	direction	NOUN
m-930	155	33	.	.	PUNCT
m-930	156	1	figure	figure	NOUN
m-930	156	2	3shows	3shows	NUM
m-930	156	3	temperature	temperature	NOUN
m-930	156	4	profiles	profile	NOUN
m-930	156	5	for	for	ADP
m-930	156	6	different	different	ADJ
m-930	156	7	values	value	NOUN
m-930	156	8	of	of	ADP
m-930	156	9	third	third	ADJ
m-930	156	10	grade	grade	NOUN
m-930	156	11	parameter	parameter	NOUN
m-930	156	12	.	.	PUNCT
m-930	157	1	results	result	NOUN
m-930	157	2	show	show	VERB
m-930	157	3	that	that	SCONJ
m-930	157	4	as	as	ADP
m-930	157	5	the	the	DET
m-930	157	6	third	third	ADJ
m-930	157	7	grade	grade	NOUN
m-930	157	8	parameter	parameter	NOUN
m-930	157	9	increases	increase	NOUN
m-930	157	10	,	,	PUNCT
m-930	157	11	the	the	DET
m-930	157	12	temperature	temperature	NOUN
m-930	157	13	of	of	ADP
m-930	157	14	the	the	DET
m-930	157	15	cylindricxal	cylindricxal	NOUN
m-930	157	16	pipe	pipe	NOUN
m-930	157	17	increases	increase	VERB
m-930	157	18	as	as	ADV
m-930	157	19	well	well	ADV
m-930	157	20	owning	own	VERB
m-930	157	21	to	to	ADP
m-930	157	22	the	the	DET
m-930	157	23	thermal	thermal	ADJ
m-930	157	24	conductivity	conductivity	NOUN
m-930	157	25	of	of	ADP
m-930	157	26	the	the	DET
m-930	157	27	fluid	fluid	NOUN
m-930	157	28	which	which	PRON
m-930	157	29	influences	influence	VERB
m-930	157	30	the	the	DET
m-930	157	31	temperature	temperature	NOUN
m-930	157	32	distribution	distribution	NOUN
m-930	157	33	.	.	PUNCT
m-930	158	1	it	it	PRON
m-930	158	2	is	be	AUX
m-930	158	3	observed	observe	VERB
m-930	158	4	in	in	ADP
m-930	158	5	figures	figure	NOUN
m-930	158	6	4	4	NUM
m-930	158	7	and	and	CCONJ
m-930	158	8	5	5	NUM
m-930	158	9	that	that	SCONJ
m-930	158	10	the	the	DET
m-930	158	11	magnetic	magnetic	ADJ
m-930	158	12	field	field	NOUN
m-930	158	13	and	and	CCONJ
m-930	158	14	eckert	eckert	PROPN
m-930	158	15	parameters	parameter	NOUN
m-930	158	16	increases	increase	VERB
m-930	158	17	the	the	DET
m-930	158	18	temperature	temperature	NOUN
m-930	158	19	when	when	SCONJ
m-930	158	20	the	the	DET
m-930	158	21	parameters	parameter	NOUN
m-930	158	22	are	be	AUX
m-930	158	23	increased	increase	VERB
m-930	158	24	at	at	ADP
m-930	158	25	a	a	DET
m-930	158	26	ijo	ijo	PROPN
m-930	158	27	journals	journal	NOUN
m-930	158	28	volume	volume	NOUN
m-930	158	29	07	07	NUM
m-930	159	1	|	|	NOUN
m-930	159	2	issue	issue	NOUN
m-930	159	3	09	09	NUM
m-930	159	4	|	|	ADV
m-930	159	5	september	september	PROPN
m-930	159	6	2024	2024	NUM
m-930	160	1	|	|	ADV
m-930	160	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	160	3	8	8	NUM
m-930	160	4	ijo	ijo	PROPN
m-930	160	5	international	international	ADJ
m-930	160	6	journal	journal	PROPN
m-930	160	7	of	of	ADP
m-930	160	8	mathematics	mathematics	PROPN
m-930	160	9	(	(	PUNCT
m-930	160	10	issn	issn	PROPN
m-930	160	11	:	:	PUNCT
m-930	160	12	2992	2992	NUM
m-930	160	13	-	-	SYM
m-930	160	14	4421	4421	NUM
m-930	160	15	)	)	PUNCT
m-930	161	1	*	*	PUNCT
m-930	161	2	1	1	NUM
m-930	161	3	obi	obi	NOUN
m-930	161	4	,	,	PUNCT
m-930	161	5	boniface	boniface	NOUN
m-930	161	6	inalu	inalu	NOUN
m-930	161	7	*	*	PUNCT
m-930	161	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	161	9	volume	volume	NOUN
m-930	161	10	07	07	NUM
m-930	161	11	||	||	NOUN
m-930	161	12	issue	issue	NOUN
m-930	161	13	09	09	NUM
m-930	161	14	||	||	NOUN
m-930	161	15	september	september	PROPN
m-930	161	16	,	,	PUNCT
m-930	161	17	2024	2024	NUM
m-930	161	18	||	||	NUM
m-930	161	19	“	"	PUNCT
m-930	161	20	analytical	analytical	ADJ
m-930	161	21	study	study	NOUN
m-930	161	22	of	of	ADP
m-930	161	23	incompressible	incompressible	ADJ
m-930	161	24	mhd	mhd	PROPN
m-930	161	25	non	non	ADJ
m-930	161	26	-	-	ADJ
m-930	161	27	newtonian	newtonian	ADJ
m-930	161	28	fluid	fluid	NOUN
m-930	161	29	in	in	ADP
m-930	161	30	cylindrical	cylindrical	ADJ
m-930	161	31	pipe	pipe	NOUN
m-930	161	32	with	with	ADP
m-930	161	33	isothermal	isothermal	ADJ
m-930	161	34	wall	wall	NOUN
m-930	161	35	and	and	CCONJ
m-930	161	36	temperature	temperature	NOUN
m-930	161	37	-	-	PUNCT
m-930	161	38	dependent	dependent	ADJ
m-930	161	39	viscosity	viscosity	NOUN
m-930	161	40	"	"	PUNCT
m-930	161	41	regular	regular	ADJ
m-930	161	42	rate.reasults	rate.reasult	NOUN
m-930	161	43	further	far	ADV
m-930	161	44	show	show	VERB
m-930	161	45	that	that	SCONJ
m-930	161	46	the	the	DET
m-930	161	47	eckert	eckert	PROPN
m-930	161	48	parameter	parameter	PROPN
m-930	161	49	regulates	regulate	VERB
m-930	161	50	the	the	DET
m-930	161	51	rate	rate	NOUN
m-930	161	52	of	of	ADP
m-930	161	53	heat	heat	NOUN
m-930	161	54	transfer	transfer	NOUN
m-930	161	55	.	.	PUNCT
m-930	162	1	in	in	ADP
m-930	162	2	figures	figure	NOUN
m-930	162	3	6	6	NUM
m-930	162	4	and	and	CCONJ
m-930	162	5	7	7	NUM
m-930	162	6	show	show	VERB
m-930	162	7	the	the	DET
m-930	162	8	velocity	velocity	NOUN
m-930	162	9	and	and	CCONJ
m-930	162	10	temperature	temperature	NOUN
m-930	162	11	profiles	profile	NOUN
m-930	162	12	for	for	ADP
m-930	162	13	different	different	ADJ
m-930	162	14	values	value	NOUN
m-930	162	15	of	of	ADP
m-930	162	16	the	the	DET
m-930	162	17	the	the	DET
m-930	162	18	third	third	ADJ
m-930	162	19	grade	grade	NOUN
m-930	162	20	parameter	parameter	NOUN
m-930	162	21	within	within	ADP
m-930	162	22	the	the	DET
m-930	162	23	vogel	vogel	NOUN
m-930	162	24	model	model	NOUN
m-930	162	25	analysis	analysis	NOUN
m-930	162	26	respectively	respectively	ADV
m-930	162	27	.	.	PUNCT
m-930	163	1	results	result	NOUN
m-930	163	2	show	show	VERB
m-930	163	3	that	that	SCONJ
m-930	163	4	as	as	ADP
m-930	163	5	the	the	DET
m-930	163	6	third	third	ADJ
m-930	163	7	grade	grade	NOUN
m-930	163	8	parameter	parameter	NOUN
m-930	163	9	increases	increase	NOUN
m-930	163	10	,	,	PUNCT
m-930	163	11	both	both	CCONJ
m-930	163	12	the	the	DET
m-930	163	13	velocity	velocity	NOUN
m-930	163	14	and	and	CCONJ
m-930	163	15	temperature	temperature	NOUN
m-930	163	16	increases	increase	NOUN
m-930	163	17	at	at	ADP
m-930	163	18	the	the	DET
m-930	163	19	same	same	ADJ
m-930	163	20	rate	rate	NOUN
m-930	163	21	.	.	PUNCT
m-930	164	1	in	in	ADP
m-930	164	2	figure	figure	NOUN
m-930	164	3	8	8	NUM
m-930	164	4	,	,	PUNCT
m-930	164	5	the	the	DET
m-930	164	6	temperature	temperature	NOUN
m-930	164	7	profiles	profile	NOUN
m-930	164	8	for	for	ADP
m-930	164	9	various	various	ADJ
m-930	164	10	values	value	NOUN
m-930	164	11	of	of	ADP
m-930	164	12	the	the	DET
m-930	164	13	the	the	DET
m-930	164	14	magnetic	magnetic	ADJ
m-930	164	15	field	field	NOUN
m-930	164	16	parameter	parameter	NOUN
m-930	164	17	is	be	AUX
m-930	164	18	shown	show	VERB
m-930	164	19	.	.	PUNCT
m-930	165	1	it	it	PRON
m-930	165	2	is	be	AUX
m-930	165	3	seen	see	VERB
m-930	165	4	that	that	DET
m-930	165	5	increase	increase	NOUN
m-930	165	6	in	in	ADP
m-930	165	7	the	the	DET
m-930	165	8	magnetic	magnetic	ADJ
m-930	165	9	field	field	NOUN
m-930	165	10	parameter	parameter	NOUN
m-930	165	11	increases	increase	VERB
m-930	165	12	the	the	DET
m-930	165	13	temperature	temperature	NOUN
m-930	165	14	at	at	ADP
m-930	165	15	the	the	DET
m-930	165	16	walls	wall	NOUN
m-930	165	17	of	of	ADP
m-930	165	18	the	the	DET
m-930	165	19	cylinder	cylinder	NOUN
m-930	165	20	.	.	PUNCT
m-930	166	1	figure	figure	NOUN
m-930	166	2	9	9	NUM
m-930	166	3	shows	show	VERB
m-930	166	4	the	the	DET
m-930	166	5	temperature	temperature	NOUN
m-930	166	6	profiles	profile	NOUN
m-930	166	7	for	for	ADP
m-930	166	8	different	different	ADJ
m-930	166	9	values	value	NOUN
m-930	166	10	of	of	ADP
m-930	166	11	the	the	DET
m-930	166	12	vogel	vogel	NOUN
m-930	166	13	parameter	parameter	NOUN
m-930	166	14			X
m-930	166	15	.	.	PUNCT
m-930	167	1	it	it	PRON
m-930	167	2	is	be	AUX
m-930	167	3	observed	observe	VERB
m-930	167	4	that	that	SCONJ
m-930	167	5	the	the	DET
m-930	167	6	parameter	parameter	NOUN
m-930	167	7	has	have	VERB
m-930	167	8	the	the	DET
m-930	167	9	propensity	propensity	NOUN
m-930	167	10	to	to	PART
m-930	167	11	lower	lower	VERB
m-930	167	12	the	the	DET
m-930	167	13	temperature	temperature	NOUN
m-930	167	14	when	when	SCONJ
m-930	167	15	increased	increase	VERB
m-930	167	16	at	at	ADP
m-930	167	17	very	very	ADV
m-930	167	18	small	small	ADJ
m-930	167	19	rate	rate	NOUN
m-930	167	20	.	.	PUNCT
m-930	168	1	figure	figure	NOUN
m-930	168	2	10	10	NUM
m-930	168	3	shows	show	VERB
m-930	168	4	the	the	DET
m-930	168	5	second	second	ADJ
m-930	168	6	major	major	ADJ
m-930	168	7	parameter	parameter	NOUN
m-930	168	8	a	a	PRON
m-930	168	9	in	in	ADP
m-930	168	10	the	the	DET
m-930	168	11	vogel	vogel	NOUN
m-930	168	12	model	model	NOUN
m-930	168	13	structure	structure	NOUN
m-930	168	14	.	.	PUNCT
m-930	169	1	results	result	NOUN
m-930	169	2	indicate	indicate	VERB
m-930	169	3	that	that	DET
m-930	169	4	increase	increase	NOUN
m-930	169	5	in	in	ADP
m-930	169	6	the	the	DET
m-930	169	7	parameter	parameter	NOUN
m-930	169	8	a	a	PRON
m-930	169	9	,	,	PUNCT
m-930	169	10	increases	increase	VERB
m-930	169	11	the	the	DET
m-930	169	12	temperature	temperature	NOUN
m-930	169	13	of	of	ADP
m-930	169	14	the	the	DET
m-930	169	15	cylindrical	cylindrical	ADJ
m-930	169	16	walls	wall	NOUN
m-930	169	17	.	.	PUNCT
m-930	170	1	5.0	5.0	NUM
m-930	170	2	conclusions	conclusion	NOUN
m-930	170	3	analytical	analytical	ADJ
m-930	170	4	study	study	NOUN
m-930	170	5	of	of	ADP
m-930	170	6	incompressible	incompressible	ADJ
m-930	170	7	mhd	mhd	PROPN
m-930	170	8	non	non	ADJ
m-930	170	9	-	-	ADJ
m-930	170	10	newtonian	newtonian	ADJ
m-930	170	11	fluid	fluid	NOUN
m-930	170	12	in	in	ADP
m-930	170	13	cylindrical	cylindrical	ADJ
m-930	170	14	pipe	pipe	NOUN
m-930	170	15	with	with	ADP
m-930	170	16	isothermal	isothermal	ADJ
m-930	170	17	wall	wall	NOUN
m-930	170	18	and	and	CCONJ
m-930	170	19	temperature	temperature	NOUN
m-930	170	20	-	-	PUNCT
m-930	170	21	dependent	dependent	ADJ
m-930	170	22	viscosity	viscosity	NOUN
m-930	170	23	is	be	AUX
m-930	170	24	examined	examine	VERB
m-930	170	25	.	.	PUNCT
m-930	171	1	vogel	vogel	PROPN
m-930	171	2	’s	’s	PART
m-930	171	3	model	model	NOUN
m-930	171	4	viscosity	viscosity	NOUN
m-930	171	5	is	be	AUX
m-930	171	6	introduced	introduce	VERB
m-930	171	7	to	to	PART
m-930	171	8	account	account	VERB
m-930	171	9	for	for	ADP
m-930	171	10	the	the	DET
m-930	171	11	temperature	temperature	NOUN
m-930	171	12	-	-	PUNCT
m-930	171	13	dependent	dependent	ADJ
m-930	171	14	viscosity	viscosity	NOUN
m-930	171	15	,	,	PUNCT
m-930	171	16	while	while	SCONJ
m-930	171	17	the	the	DET
m-930	171	18	third	third	ADJ
m-930	171	19	grade	grade	NOUN
m-930	171	20	fluid	fluid	NOUN
m-930	171	21	is	be	AUX
m-930	171	22	accommodated	accommodate	VERB
m-930	171	23	to	to	PART
m-930	171	24	model	model	VERB
m-930	171	25	the	the	DET
m-930	171	26	non	non	ADJ
m-930	171	27	-	-	ADJ
m-930	171	28	newtonian	newtonian	ADJ
m-930	171	29	fluid	fluid	ADJ
m-930	171	30	feature	feature	NOUN
m-930	171	31	.	.	PUNCT
m-930	172	1	it	it	PRON
m-930	172	2	is	be	AUX
m-930	172	3	observed	observe	VERB
m-930	172	4	that	that	SCONJ
m-930	172	5	the	the	DET
m-930	172	6	third	third	ADJ
m-930	172	7	grade	grade	NOUN
m-930	172	8	and	and	CCONJ
m-930	172	9	the	the	DET
m-930	172	10	magnetic	magnetic	ADJ
m-930	172	11	field	field	NOUN
m-930	172	12	parameters	parameter	NOUN
m-930	172	13	reduces	reduce	VERB
m-930	172	14	the	the	DET
m-930	172	15	velocity	velocity	NOUN
m-930	172	16	profiles	profile	NOUN
m-930	172	17	and	and	CCONJ
m-930	172	18	increases	increase	VERB
m-930	172	19	the	the	DET
m-930	172	20	temperature	temperature	NOUN
m-930	172	21	profiles	profile	NOUN
m-930	172	22	when	when	SCONJ
m-930	172	23	increased	increase	VERB
m-930	172	24	at	at	ADP
m-930	172	25	a	a	DET
m-930	172	26	steady	steady	ADJ
m-930	172	27	rate	rate	NOUN
m-930	172	28	within	within	ADP
m-930	172	29	the	the	DET
m-930	172	30	constant	constant	ADJ
m-930	172	31	viscosity	viscosity	NOUN
m-930	172	32	index	index	NOUN
m-930	172	33	but	but	CCONJ
m-930	172	34	increases	increase	VERB
m-930	172	35	the	the	DET
m-930	172	36	velocity	velocity	NOUN
m-930	172	37	and	and	CCONJ
m-930	172	38	the	the	DET
m-930	172	39	temperature	temperature	NOUN
m-930	172	40	profiles	profile	NOUN
m-930	172	41	when	when	SCONJ
m-930	172	42	subjected	subject	VERB
m-930	172	43	to	to	ADP
m-930	172	44	the	the	DET
m-930	172	45	vogel	vogel	NOUN
m-930	172	46	model	model	NOUN
m-930	172	47	.	.	PUNCT
m-930	173	1	meanwhile	meanwhile	ADV
m-930	173	2	the	the	DET
m-930	173	3	eckert	eckert	PROPN
m-930	173	4	parameter	parameter	NOUN
m-930	173	5	is	be	AUX
m-930	173	6	observed	observe	VERB
m-930	173	7	to	to	PART
m-930	173	8	enhance	enhance	VERB
m-930	173	9	the	the	DET
m-930	173	10	temperature	temperature	NOUN
m-930	173	11	near	near	ADP
m-930	173	12	the	the	DET
m-930	173	13	walls	wall	NOUN
m-930	173	14	of	of	ADP
m-930	173	15	cylindrical	cylindrical	ADJ
m-930	173	16	pipe	pipe	NOUN
m-930	173	17	.	.	PUNCT
m-930	174	1	results	result	NOUN
m-930	174	2	further	far	ADV
m-930	174	3	show	show	VERB
m-930	174	4	that	that	SCONJ
m-930	174	5	increasing	increase	VERB
m-930	174	6	the	the	DET
m-930	174	7	two	two	NUM
m-930	174	8	vogel	vogel	NOUN
m-930	174	9	model	model	NOUN
m-930	174	10	indices	index	NOUN
m-930	174	11	and	and	CCONJ
m-930	174	12	a	a	ADJ
m-930	174	13	decreases	decrease	NOUN
m-930	174	14	and	and	CCONJ
m-930	174	15	increases	increase	VERB
m-930	174	16	the	the	DET
m-930	174	17	temperature	temperature	NOUN
m-930	174	18	profiles	profile	NOUN
m-930	174	19	respectively	respectively	ADV
m-930	174	20	.	.	PUNCT
m-930	175	1	declarations	declaration	NOUN
m-930	175	2	1	1	NUM
m-930	175	3	.	.	X
m-930	176	1	funding	funding	NOUN
m-930	176	2	:	:	PUNCT
m-930	176	3	not	not	PART
m-930	176	4	applicable	applicable	ADJ
m-930	176	5	2	2	NUM
m-930	176	6	.	.	PUNCT
m-930	176	7	informed	informed	ADJ
m-930	176	8	consent	consent	NOUN
m-930	176	9	statement	statement	NOUN
m-930	176	10	:	:	PUNCT
m-930	176	11	not	not	PART
m-930	176	12	applicable	applicable	ADJ
m-930	176	13	3	3	NUM
m-930	176	14	.	.	PUNCT
m-930	176	15	data	datum	NOUN
m-930	176	16	availability	availability	NOUN
m-930	176	17	:	:	PUNCT
m-930	176	18	not	not	PART
m-930	176	19	applicable	applicable	ADJ
m-930	176	20	4	4	NUM
m-930	176	21	.	.	PUNCT
m-930	177	1	conflict	conflict	NOUN
m-930	177	2	of	of	ADP
m-930	177	3	interest	interest	NOUN
m-930	177	4	statement	statement	NOUN
m-930	177	5	:	:	PUNCT
m-930	177	6	no	no	DET
m-930	177	7	conflict	conflict	NOUN
m-930	177	8	of	of	ADP
m-930	177	9	interest	interest	NOUN
m-930	177	10	6.0	6.0	NUM
m-930	177	11	reference	reference	NOUN
m-930	177	12	[	[	X
m-930	177	13	1	1	NUM
m-930	177	14	]	]	X
m-930	177	15	aksoy	aksoy	NOUN
m-930	177	16	,	,	PUNCT
m-930	177	17	y.	y.	PROPN
m-930	177	18	and	and	CCONJ
m-930	177	19	pakdemirli	pakdemirli	ADJ
m-930	177	20	,	,	PUNCT
m-930	177	21	m.	m.	NOUN
m-930	177	22	:	:	PUNCT
m-930	177	23	approximate	approximate	ADJ
m-930	177	24	analytical	analytical	ADJ
m-930	177	25	solution	solution	NOUN
m-930	177	26	for	for	ADP
m-930	177	27	flow	flow	NOUN
m-930	177	28	of	of	ADP
m-930	177	29	a	a	DET
m-930	177	30	third	third	ADJ
m-930	177	31	grade	grade	NOUN
m-930	177	32	fluid	fluid	NOUN
m-930	177	33	through	through	ADP
m-930	177	34	a	a	DET
m-930	177	35	parallel	parallel	ADJ
m-930	177	36	plate	plate	NOUN
m-930	177	37	channel	channel	NOUN
m-930	177	38	filled	fill	VERB
m-930	177	39	with	with	ADP
m-930	177	40	a	a	DET
m-930	177	41	porous	porous	ADJ
m-930	177	42	medium	medium	NOUN
m-930	177	43	.	.	PUNCT
m-930	178	1	transp	transp	PROPN
m-930	178	2	.	.	PUNCT
m-930	179	1	porous	porous	ADJ
m-930	179	2	.	.	PUNCT
m-930	180	1	med	med	PROPN
m-930	180	2	.	.	PUNCT
m-930	180	3	83,375395(2010	83,375395(2010	NUM
m-930	180	4	)	)	PUNCT
m-930	180	5	.	.	PUNCT
m-930	181	1	ijo	ijo	PROPN
m-930	181	2	journals	journal	NOUN
m-930	181	3	volume	volume	NOUN
m-930	181	4	07	07	NUM
m-930	181	5	|	|	NOUN
m-930	181	6	issue	issue	NOUN
m-930	181	7	09	09	NUM
m-930	182	1	|	|	ADV
m-930	182	2	september	september	PROPN
m-930	182	3	2024	2024	NUM
m-930	183	1	|	|	ADV
m-930	183	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	183	3	9	9	NUM
m-930	183	4	ijo	ijo	PROPN
m-930	183	5	international	international	ADJ
m-930	183	6	journal	journal	PROPN
m-930	183	7	of	of	ADP
m-930	183	8	mathematics	mathematics	PROPN
m-930	183	9	(	(	PUNCT
m-930	183	10	issn	issn	PROPN
m-930	183	11	:	:	PUNCT
m-930	183	12	2992	2992	NUM
m-930	183	13	-	-	SYM
m-930	183	14	4421	4421	NUM
m-930	183	15	)	)	PUNCT
m-930	184	1	*	*	PUNCT
m-930	184	2	1	1	NUM
m-930	184	3	obi	obi	NOUN
m-930	184	4	,	,	PUNCT
m-930	184	5	boniface	boniface	NOUN
m-930	184	6	inalu	inalu	NOUN
m-930	184	7	*	*	PUNCT
m-930	184	8	https://ijojournals.com/	https://ijojournals.com/	NOUN
m-930	184	9	volume	volume	NOUN
m-930	184	10	07	07	NUM
m-930	184	11	||	||	NOUN
m-930	184	12	issue	issue	NOUN
m-930	184	13	09	09	NUM
m-930	184	14	||	||	NOUN
m-930	184	15	september	september	PROPN
m-930	184	16	,	,	PUNCT
m-930	184	17	2024	2024	NUM
m-930	184	18	||	||	NUM
m-930	184	19	“	"	PUNCT
m-930	184	20	analytical	analytical	ADJ
m-930	184	21	study	study	NOUN
m-930	184	22	of	of	ADP
m-930	184	23	incompressible	incompressible	ADJ
m-930	184	24	mhd	mhd	PROPN
m-930	184	25	non	non	ADJ
m-930	184	26	-	-	ADJ
m-930	184	27	newtonian	newtonian	ADJ
m-930	184	28	fluid	fluid	NOUN
m-930	184	29	in	in	ADP
m-930	184	30	cylindrical	cylindrical	ADJ
m-930	184	31	pipe	pipe	NOUN
m-930	184	32	with	with	ADP
m-930	184	33	isothermal	isothermal	ADJ
m-930	184	34	wall	wall	NOUN
m-930	184	35	and	and	CCONJ
m-930	184	36	temperature	temperature	NOUN
m-930	184	37	-	-	PUNCT
m-930	184	38	dependent	dependent	ADJ
m-930	184	39	viscosity	viscosity	NOUN
m-930	184	40	"	"	PUNCT
m-930	184	41	[	[	X
m-930	184	42	2	2	NUM
m-930	184	43	]	]	SYM
m-930	184	44	aiyesimi	aiyesimi	NOUN
m-930	184	45	,	,	PUNCT
m-930	184	46	y.m	y.m	PROPN
m-930	184	47	.	.	PROPN
m-930	184	48	,	,	PUNCT
m-930	184	49	okedayo	okedayo	PROPN
m-930	184	50	,	,	PUNCT
m-930	184	51	g.t	g.t	PROPN
m-930	184	52	.	.	PROPN
m-930	184	53	,	,	PUNCT
m-930	184	54	and	and	CCONJ
m-930	184	55	obi	obi	PROPN
m-930	184	56	,	,	PUNCT
m-930	184	57	b.i	b.i	PROPN
m-930	184	58	.	.	PROPN
m-930	184	59	(	(	PUNCT
m-930	184	60	2015	2015	NUM
m-930	184	61	)	)	PUNCT
m-930	184	62	.	.	PUNCT
m-930	185	1	flow	flow	NOUN
m-930	185	2	of	of	ADP
m-930	185	3	an	an	DET
m-930	185	4	incompressible	incompressible	ADJ
m-930	185	5	mhd	mhd	NOUN
m-930	185	6	third	third	ADJ
m-930	185	7	grade	grade	NOUN
m-930	185	8	fluid	fluid	NOUN
m-930	185	9	through	through	ADP
m-930	185	10	cylindrical	cylindrical	ADJ
m-930	185	11	pipe	pipe	NOUN
m-930	185	12	with	with	ADP
m-930	185	13	isothermal	isothermal	ADJ
m-930	185	14	wall	wall	NOUN
m-930	185	15	and	and	CCONJ
m-930	185	16	joule	joule	PROPN
m-930	185	17	heating	heating	NOUN
m-930	185	18	:	:	PUNCT
m-930	185	19	nigerian	nigerian	ADJ
m-930	185	20	journal	journal	NOUN
m-930	185	21	of	of	ADP
m-930	185	22	mathematics	mathematic	NOUN
m-930	185	23	and	and	CCONJ
m-930	185	24	application	application	NOUN
m-930	185	25	[	[	X
m-930	185	26	3	3	NUM
m-930	185	27	]	]	X
m-930	185	28	ayub	ayub	NOUN
m-930	185	29	,	,	PUNCT
m-930	185	30	m.	m.	NOUN
m-930	185	31	,	,	PUNCT
m-930	185	32	rasheed	rasheed	NOUN
m-930	185	33	,	,	PUNCT
m-930	185	34	a.	a.	NOUN
m-930	185	35	and	and	CCONJ
m-930	185	36	hayat	hayat	PROPN
m-930	185	37	,	,	PUNCT
m-930	185	38	t.	t.	PROPN
m-930	185	39	,	,	PUNCT
m-930	185	40	:	:	PUNCT
m-930	185	41	exact	exact	ADJ
m-930	185	42	flow	flow	NOUN
m-930	185	43	of	of	ADP
m-930	185	44	third	third	ADJ
m-930	185	45	grade	grade	NOUN
m-930	185	46	fluid	fluid	NOUN
m-930	185	47	past	past	ADP
m-930	185	48	a	a	DET
m-930	185	49	porous	porous	ADJ
m-930	185	50	plate	plate	NOUN
m-930	185	51	using	use	VERB
m-930	185	52	homotopy	homotopy	NOUN
m-930	185	53	analysis	analysis	NOUN
m-930	185	54	method	method	NOUN
m-930	185	55	.	.	PUNCT
m-930	186	1	international	international	ADJ
m-930	186	2	journal	journal	NOUN
m-930	186	3	of	of	ADP
m-930	186	4	engineering	engineering	NOUN
m-930	186	5	and	and	CCONJ
m-930	186	6	sciences	sciences	PROPN
m-930	186	7	vol	vol	NOUN
m-930	186	8	41,2091(2003	41,2091(2003	NOUN
m-930	186	9	)	)	PUNCT
m-930	187	1	[	[	X
m-930	187	2	4	4	NUM
m-930	187	3	]	]	X
m-930	187	4	bejan	bejan	NOUN
m-930	187	5	,	,	PUNCT
m-930	187	6	a.	a.	NOUN
m-930	187	7	a	a	DET
m-930	187	8	study	study	NOUN
m-930	187	9	of	of	ADP
m-930	187	10	entropy	entropy	NOUN
m-930	187	11	generation	generation	NOUN
m-930	187	12	in	in	ADP
m-930	187	13	fundamental	fundamental	ADJ
m-930	187	14	convective	convective	ADJ
m-930	187	15	heat	heat	NOUN
m-930	187	16	transfer	transfer	NOUN
m-930	187	17	,	,	PUNCT
m-930	187	18	asme	asme	PROPN
m-930	187	19	j.	j.	PROPN
m-930	187	20	heat	heat	PROPN
m-930	187	21	transfer	transfer	NOUN
m-930	187	22	101	101	NUM
m-930	187	23	,	,	PUNCT
m-930	187	24	718	718	NUM
m-930	187	25	(	(	PUNCT
m-930	187	26	1979	1979	NUM
m-930	187	27	)	)	PUNCT
m-930	188	1	[	[	X
m-930	188	2	5	5	X
m-930	188	3	]	]	PUNCT
m-930	188	4	fosdick	fosdick	PROPN
m-930	188	5	r.l	r.l	PROPN
m-930	188	6	.	.	PROPN
m-930	188	7	and	and	CCONJ
m-930	188	8	rajagopal	rajagopal	PROPN
m-930	188	9	,	,	PUNCT
m-930	188	10	k.r	k.r	PROPN
m-930	188	11	.	.	PROPN
m-930	188	12	:	:	PUNCT
m-930	189	1	thermodynamics	thermodynamic	NOUN
m-930	189	2	and	and	CCONJ
m-930	189	3	stability	stability	NOUN
m-930	189	4	of	of	ADP
m-930	189	5	fluids	fluid	NOUN
m-930	189	6	of	of	ADP
m-930	189	7	third	third	ADJ
m-930	189	8	grade	grade	NOUN
m-930	189	9	.	.	PUNCT
m-930	190	1	proc	proc	PROPN
m-930	190	2	.	.	PUNCT
m-930	191	1	r.	r.	PROPN
m-930	191	2	soc	soc	PROPN
m-930	191	3	.	.	PUNCT
m-930	192	1	lond	lond	PROPN
m-930	192	2	.	.	PUNCT
m-930	193	1	339	339	NUM
m-930	193	2	,	,	PUNCT
m-930	193	3	351	351	NUM
m-930	193	4	-	-	SYM
m-930	193	5	377	377	NUM
m-930	193	6	,	,	PUNCT
m-930	193	7	(	(	PUNCT
m-930	193	8	1980	1980	NUM
m-930	193	9	)	)	PUNCT
m-930	193	10	.	.	PUNCT
m-930	194	1	[	[	X
m-930	194	2	6	6	NUM
m-930	194	3	]	]	X
m-930	194	4	johnson	johnson	PROPN
m-930	194	5	,	,	PUNCT
m-930	194	6	g.	g.	PROPN
m-930	194	7	,	,	PUNCT
m-930	194	8	massoudi	massoudi	NOUN
m-930	194	9	,	,	PUNCT
m-930	194	10	m.	m.	NOUN
m-930	194	11	,	,	PUNCT
m-930	194	12	rajagopal	rajagopal	PROPN
m-930	194	13	,	,	PUNCT
m-930	194	14	k.r	k.r	PROPN
m-930	194	15	.	.	PUNCT
m-930	194	16	:	:	PUNCT
m-930	194	17	flow	flow	NOUN
m-930	194	18	of	of	ADP
m-930	194	19	a	a	DET
m-930	194	20	fluid	fluid	NOUN
m-930	194	21	infused	infuse	VERB
m-930	194	22	with	with	ADP
m-930	194	23	solid	solid	ADJ
m-930	194	24	particles	particle	NOUN
m-930	194	25	through	through	ADP
m-930	194	26	a	a	DET
m-930	194	27	pipe	pipe	NOUN
m-930	194	28	.	.	PUNCT
m-930	195	1	international	international	ADJ
m-930	195	2	journal	journal	NOUN
m-930	195	3	of	of	ADP
m-930	195	4	engineering	engineering	NOUN
m-930	195	5	sciences	science	NOUN
m-930	195	6	29	29	NUM
m-930	195	7	,	,	PUNCT
m-930	195	8	649	649	NUM
m-930	195	9	-	-	SYM
m-930	195	10	661	661	NUM
m-930	195	11	(	(	PUNCT
m-930	195	12	1991	1991	NUM
m-930	195	13	)	)	PUNCT
m-930	195	14	.	.	PUNCT
m-930	196	1	[	[	X
m-930	196	2	7	7	NUM
m-930	196	3	]	]	X
m-930	196	4	massoudi	massoudi	NOUN
m-930	196	5	,	,	PUNCT
m-930	196	6	m.	m.	NOUN
m-930	196	7	and	and	CCONJ
m-930	196	8	christie	christie	PROPN
m-930	196	9	,	,	PUNCT
m-930	196	10	i.	i.	NOUN
m-930	196	11	:	:	PUNCT
m-930	196	12	effects	effect	NOUN
m-930	196	13	of	of	ADP
m-930	196	14	variable	variable	ADJ
m-930	196	15	viscosity	viscosity	NOUN
m-930	196	16	and	and	CCONJ
m-930	196	17	viscous	viscous	ADJ
m-930	196	18	dissipation	dissipation	NOUN
m-930	196	19	on	on	ADP
m-930	196	20	the	the	DET
m-930	196	21	flow	flow	NOUN
m-930	196	22	of	of	ADP
m-930	196	23	a	a	DET
m-930	196	24	third	third	ADJ
m-930	196	25	–	–	PUNCT
m-930	196	26	grade	grade	NOUN
m-930	196	27	fluid	fluid	NOUN
m-930	196	28	in	in	ADP
m-930	196	29	a	a	DET
m-930	196	30	pipe	pipe	NOUN
m-930	196	31	.	.	PUNCT
m-930	197	1	int	int	NOUN
m-930	197	2	.	.	PUNCT
m-930	198	1	j.	j.	PROPN
m-930	198	2	of	of	ADP
m-930	198	3	nonlinear	nonlinear	PROPN
m-930	198	4	mech	mech	PROPN
m-930	198	5	.	.	PUNCT
m-930	199	1	,30(5	,30(5	PROPN
m-930	199	2	):	):	PUNCT
m-930	199	3	687	687	NUM
m-930	199	4	-	-	SYM
m-930	199	5	699,(1995	699,(1995	NUM
m-930	199	6	)	)	PUNCT
m-930	199	7	.	.	PUNCT
m-930	200	1	[	[	X
m-930	200	2	8	8	NUM
m-930	200	3	]	]	X
m-930	200	4	nargis	nargis	X
m-930	200	5	,	,	PUNCT
m-930	200	6	k.	k.	PROPN
m-930	200	7	and	and	CCONJ
m-930	200	8	mamood	mamood	PROPN
m-930	200	9	,	,	PUNCT
m-930	200	10	t.	t.	PROPN
m-930	200	11	,:the	,:the	PRON
m-930	200	12	influence	influence	NOUN
m-930	200	13	of	of	ADP
m-930	200	14	slip	slip	NOUN
m-930	200	15	condition	condition	NOUN
m-930	200	16	on	on	ADP
m-930	200	17	the	the	DET
m-930	200	18	thin	thin	ADJ
m-930	200	19	film	film	NOUN
m-930	200	20	flow	flow	NOUN
m-930	200	21	of	of	ADP
m-930	200	22	a	a	DET
m-930	200	23	third	third	ADJ
m-930	200	24	grade	grade	NOUN
m-930	200	25	fluid	fluid	NOUN
m-930	200	26	.	.	PUNCT
m-930	201	1	international	international	ADJ
m-930	201	2	journal	journal	PROPN
m-930	201	3	of	of	ADP
m-930	201	4	nonlinear	nonlinear	PROPN
m-930	201	5	science,30(5	science,30(5	PROPN
m-930	201	6	)	)	PUNCT
m-930	201	7	,	,	PUNCT
m-930	201	8	687	687	NUM
m-930	201	9	-	-	PUNCT
m-930	201	10	699(2012	699(2012	NUM
m-930	201	11	)	)	PUNCT
m-930	201	12	.	.	PUNCT
m-930	202	1	[	[	X
m-930	202	2	9	9	NUM
m-930	202	3	]	]	X
m-930	202	4	obi	obi	PROPN
m-930	202	5	b.i	b.i	PROPN
m-930	202	6	.	.	PROPN
m-930	202	7	:	:	PUNCT
m-930	202	8	approximate	approximate	ADJ
m-930	202	9	analytical	analytical	ADJ
m-930	202	10	study	study	NOUN
m-930	202	11	of	of	ADP
m-930	202	12	natural	natural	ADJ
m-930	202	13	convection	convection	NOUN
m-930	202	14	flow	flow	NOUN
m-930	202	15	of	of	ADP
m-930	202	16	non	non	ADJ
m-930	202	17	-	-	ADJ
m-930	202	18	newtonian	newtonian	ADJ
m-930	202	19	fluid	fluid	NOUN
m-930	202	20	through	through	ADP
m-930	202	21	parallel	parallel	ADJ
m-930	202	22	plates	plate	NOUN
m-930	202	23	with	with	ADP
m-930	202	24	heat	heat	NOUN
m-930	202	25	generation	generation	NOUN
m-930	202	26	.	.	PUNCT
m-930	203	1	journal	journal	PROPN
m-930	203	2	of	of	ADP
m-930	203	3	mathematical	mathematical	ADJ
m-930	203	4	sciences	science	NOUN
m-930	203	5	and	and	CCONJ
m-930	203	6	computational	computational	ADJ
m-930	203	7	mathematics	mathematic	NOUN
m-930	203	8	vol.4	vol.4	PROPN
m-930	203	9	no.4	no.4	PROPN
m-930	203	10	(	(	PUNCT
m-930	203	11	2023	2023	NUM
m-930	203	12	)	)	PUNCT
m-930	204	1	[	[	X
m-930	204	2	10	10	NUM
m-930	204	3	]	]	X
m-930	204	4	obi	obi	PROPN
m-930	204	5	,	,	PUNCT
m-930	204	6	b.i	b.i	PROPN
m-930	204	7	.	.	PROPN
m-930	204	8	computational	computational	ADJ
m-930	204	9	analysis	analysis	NOUN
m-930	204	10	of	of	ADP
m-930	204	11	reactive	reactive	ADJ
m-930	204	12	third	third	ADJ
m-930	204	13	grade	grade	NOUN
m-930	204	14	fluid	fluid	NOUN
m-930	204	15	in	in	ADP
m-930	204	16	cylindrical	cylindrical	ADJ
m-930	204	17	pipe	pipe	NOUN
m-930	204	18	using	use	VERB
m-930	204	19	the	the	DET
m-930	204	20	collocation	collocation	NOUN
m-930	204	21	method	method	NOUN
m-930	204	22	.	.	PUNCT
m-930	205	1	journal	journal	PROPN
m-930	205	2	of	of	ADP
m-930	205	3	mathematical	mathematical	ADJ
m-930	205	4	sciences	science	NOUN
m-930	205	5	and	and	CCONJ
m-930	205	6	computational	computational	ADJ
m-930	205	7	mathematics	mathematic	NOUN
m-930	205	8	.	.	PUNCT
m-930	206	1	vol.4	vol.4	PROPN
m-930	206	2	,	,	PUNCT
m-930	206	3	no	no	INTJ
m-930	206	4	.	.	NOUN
m-930	206	5	4	4	NUM
m-930	206	6	(	(	PUNCT
m-930	206	7	2023	2023	NUM
m-930	206	8	)	)	PUNCT
m-930	207	1	[	[	X
m-930	207	2	11	11	NUM
m-930	207	3	]	]	X
m-930	207	4	obi	obi	PROPN
m-930	207	5	b.i	b.i	PROPN
m-930	207	6	.	.	PROPN
m-930	207	7	,	,	PUNCT
m-930	207	8	okorie	okorie	PROPN
m-930	207	9	s.i	s.i	PROPN
m-930	207	10	.	.	PROPN
m-930	207	11	&	&	CCONJ
m-930	207	12	nlemigwe	nlemigwe	PROPN
m-930	207	13	j.c	j.c	PROPN
m-930	207	14	.	.	PROPN
m-930	207	15	semi	semi	ADJ
m-930	207	16	-	-	ADJ
m-930	207	17	analytical	analytical	ADJ
m-930	207	18	solution	solution	NOUN
m-930	207	19	of	of	ADP
m-930	207	20	convection	convection	NOUN
m-930	207	21	flow	flow	NOUN
m-930	207	22	of	of	ADP
m-930	207	23	nonnewtonian	nonnewtonian	ADJ
m-930	207	24	fluid	fluid	NOUN
m-930	207	25	with	with	ADP
m-930	207	26	temperature	temperature	NOUN
m-930	207	27	-	-	PUNCT
m-930	207	28	dependent	dependent	ADJ
m-930	207	29	viscosity	viscosity	NOUN
m-930	207	30	in	in	ADP
m-930	207	31	pipe	pipe	NOUN
m-930	207	32	.	.	PUNCT
m-930	208	1	international	international	ADJ
m-930	208	2	journal	journal	NOUN
m-930	208	3	for	for	ADP
m-930	208	4	research	research	NOUN
m-930	208	5	in	in	ADP
m-930	208	6	applied	apply	VERB
m-930	208	7	science	science	NOUN
m-930	208	8	and	and	CCONJ
m-930	208	9	engineering	engineering	NOUN
m-930	208	10	technology	technology	NOUN
m-930	208	11	ijraset	ijraset	VERB
m-930	208	12	11(9	11(9	NUM
m-930	208	13	):	):	PUNCT
m-930	208	14	782	782	NUM
m-930	208	15	-	-	SYM
m-930	208	16	786	786	NUM
m-930	208	17	(	(	PUNCT
m-930	208	18	2023	2023	NUM
m-930	208	19	)	)	PUNCT
m-930	208	20	.	.	PUNCT
m-930	209	1	[	[	X
m-930	209	2	12	12	NUM
m-930	209	3	]	]	PUNCT
m-930	209	4	okedayo	okedayo	NOUN
m-930	209	5	g.	g.	PROPN
m-930	209	6	t.	t.	PROPN
m-930	209	7	,	,	PUNCT
m-930	209	8	abah	abah	VERB
m-930	209	9	s.	s.	PROPN
m-930	209	10	o	o	PROPN
m-930	209	11	and	and	CCONJ
m-930	209	12	abah	abah	VERB
m-930	209	13	r.	r.	PROPN
m-930	209	14	t.	t.	PROPN
m-930	209	15	:	:	PUNCT
m-930	209	16	viscous	viscous	ADJ
m-930	209	17	dissipation	dissipation	NOUN
m-930	209	18	effect	effect	NOUN
m-930	209	19	on	on	ADP
m-930	209	20	the	the	DET
m-930	209	21	reactive	reactive	ADJ
m-930	209	22	flow	flow	NOUN
m-930	209	23	of	of	ADP
m-930	209	24	a	a	DET
m-930	209	25	temperature	temperature	NOUN
m-930	209	26	dependent	dependent	ADJ
m-930	209	27	viscosity	viscosity	NOUN
m-930	209	28	and	and	CCONJ
m-930	209	29	thermal	thermal	ADJ
m-930	209	30	conductivity	conductivity	NOUN
m-930	209	31	through	through	ADP
m-930	209	32	a	a	DET
m-930	209	33	porous	porous	ADJ
m-930	209	34	channel	channel	NOUN
m-930	209	35	.	.	PUNCT
m-930	210	1	abacus	abacus	PROPN
m-930	210	2	:	:	PUNCT
m-930	210	3	journal	journal	PROPN
m-930	210	4	of	of	ADP
m-930	210	5	mathematical	mathematical	ADJ
m-930	210	6	association	association	PROPN
m-930	210	7	of	of	ADP
m-930	210	8	nigeria	nigeria	PROPN
m-930	210	9	41(2),74	41(2),74	PROPN
m-930	210	10	-	-	SYM
m-930	210	11	81	81	NUM
m-930	210	12	,	,	PUNCT
m-930	210	13	(	(	PUNCT
m-930	210	14	2014	2014	NUM
m-930	210	15	)	)	PUNCT
m-930	210	16	.	.	PUNCT
m-930	211	1	[	[	X
m-930	211	2	13	13	NUM
m-930	211	3	]	]	PUNCT
m-930	211	4	okedayo	okedayo	NOUN
m-930	211	5	,	,	PUNCT
m-930	211	6	t.g	t.g	PROPN
m-930	211	7	.	.	PROPN
m-930	211	8	,	,	PUNCT
m-930	211	9	enenche	enenche	PROPN
m-930	211	10	,	,	PUNCT
m-930	211	11	e.	e.	PROPN
m-930	211	12	and	and	CCONJ
m-930	211	13	obi	obi	PROPN
m-930	211	14	,	,	PUNCT
m-930	211	15	b.i	b.i	PROPN
m-930	211	16	.	.	PROPN
m-930	211	17	:	:	PUNCT
m-930	212	1	a	a	DET
m-930	212	2	computational	computational	ADJ
m-930	212	3	analysis	analysis	NOUN
m-930	212	4	of	of	ADP
m-930	212	5	magnetohydrodynamic	magnetohydrodynamic	ADJ
m-930	212	6	(	(	PUNCT
m-930	212	7	mhd	mhd	NOUN
m-930	212	8	)	)	PUNCT
m-930	212	9	flow	flow	NOUN
m-930	212	10	and	and	CCONJ
m-930	212	11	heat	heat	NOUN
m-930	212	12	transfer	transfer	NOUN
m-930	212	13	in	in	ADP
m-930	212	14	cylindrical	cylindrical	ADJ
m-930	212	15	pipe	pipe	NOUN
m-930	212	16	filled	fill	VERB
m-930	212	17	with	with	ADP
m-930	212	18	porous	porous	ADJ
m-930	212	19	media	medium	NOUN
m-930	212	20	.	.	PUNCT
m-930	213	1	international	international	ADJ
m-930	213	2	journal	journal	PROPN
m-930	213	3	of	of	ADP
m-930	213	4	scientific	scientific	ADJ
m-930	213	5	research	research	NOUN
m-930	213	6	and	and	CCONJ
m-930	213	7	innovative	innovative	ADJ
m-930	213	8	technology	technology	NOUN
m-930	213	9	,	,	PUNCT
m-930	213	10	vol	vol	NOUN
m-930	213	11	.	.	PROPN
m-930	213	12	4	4	NUM
m-930	214	1	no	no	NOUN
m-930	214	2	.	.	NOUN
m-930	214	3	7	7	NUM
m-930	214	4	(	(	PUNCT
m-930	214	5	2017	2017	NUM
m-930	214	6	)	)	PUNCT
m-930	215	1	[	[	X
m-930	215	2	14	14	NUM
m-930	215	3	]	]	X
m-930	215	4	pakdemirli	pakdemirli	ADJ
m-930	215	5	,	,	PUNCT
m-930	215	6	m.	m.	NOUN
m-930	215	7	:	:	PUNCT
m-930	215	8	the	the	DET
m-930	215	9	boundary	boundary	ADJ
m-930	215	10	layer	layer	NOUN
m-930	215	11	equations	equation	NOUN
m-930	215	12	of	of	ADP
m-930	215	13	third	third	ADJ
m-930	215	14	grade	grade	NOUN
m-930	215	15	fluids	fluid	NOUN
m-930	215	16	.	.	PUNCT
m-930	216	1	international	international	ADJ
m-930	216	2	journal	journal	PROPN
m-930	216	3	of	of	ADP
m-930	216	4	nonlinear	nonlinear	PROPN
m-930	216	5	mech	mech	NOUN
m-930	216	6	.	.	PUNCT
m-930	217	1	27	27	NUM
m-930	217	2	,	,	PUNCT
m-930	217	3	785	785	NUM
m-930	217	4	(	(	PUNCT
m-930	217	5	1992	1992	NUM
m-930	217	6	)	)	PUNCT
m-930	217	7	.	.	PUNCT
m-930	218	1	[	[	X
m-930	218	2	15	15	NUM
m-930	218	3	]	]	X
m-930	218	4	yurusoy	yurusoy	NOUN
m-930	218	5	,	,	PUNCT
m-930	218	6	m.	m.	NOUN
m-930	218	7	and	and	CCONJ
m-930	218	8	pakdemirli	pakdemirli	NOUN
m-930	218	9	,	,	PUNCT
m-930	218	10	m.	m.	NOUN
m-930	218	11	:	:	PUNCT
m-930	218	12	approximate	approximate	ADJ
m-930	218	13	analytical	analytical	ADJ
m-930	218	14	solutions	solution	NOUN
m-930	218	15	for	for	ADP
m-930	218	16	the	the	DET
m-930	218	17	flow	flow	NOUN
m-930	218	18	of	of	ADP
m-930	218	19	a	a	DET
m-930	218	20	third	third	ADJ
m-930	218	21	grade	grade	NOUN
m-930	218	22	fluid	fluid	NOUN
m-930	218	23	in	in	ADP
m-930	218	24	a	a	DET
m-930	218	25	pipe	pipe	NOUN
m-930	218	26	.	.	PUNCT
m-930	219	1	international	international	ADJ
m-930	219	2	journal	journal	PROPN
m-930	219	3	of	of	ADP
m-930	219	4	non	non	ADJ
m-930	219	5	-	-	ADJ
m-930	219	6	linear	linear	ADJ
m-930	219	7	mech	mech	NOUN
m-930	219	8	.	.	PUNCT
m-930	220	1	37,187	37,187	NUM
m-930	220	2	-	-	SYM
m-930	220	3	195	195	NUM
m-930	220	4	(	(	PUNCT
m-930	220	5	2002	2002	NUM
m-930	220	6	)	)	PUNCT
m-930	221	1	[	[	X
m-930	221	2	16	16	NUM
m-930	221	3	]	]	X
m-930	221	4	yurusoy	yurusoy	PROPN
m-930	221	5	,	,	PUNCT
m-930	221	6	m	m	NOUN
m-930	221	7	,	,	PUNCT
m-930	221	8	pakdemirli	pakdemirli	ADJ
m-930	221	9	,	,	PUNCT
m-930	221	10	m.	m.	NOUN
m-930	221	11	and	and	CCONJ
m-930	221	12	yilbas	yilba	NOUN
m-930	221	13	,	,	PUNCT
m-930	221	14	b.s	b.s	PROPN
m-930	221	15	.	.	NOUN
m-930	221	16	perturbation	perturbation	NOUN
m-930	221	17	solution	solution	NOUN
m-930	221	18	for	for	ADP
m-930	221	19	a	a	DET
m-930	221	20	third	third	ADJ
m-930	221	21	grade	grade	NOUN
m-930	221	22	fluid	fluid	NOUN
m-930	221	23	flowing	flow	VERB
m-930	221	24	between	between	ADP
m-930	221	25	parallel	parallel	ADJ
m-930	221	26	plates	plate	NOUN
m-930	221	27	.	.	PUNCT
m-930	222	1	journal	journal	NOUN
m-930	222	2	of	of	ADP
m-930	222	3	mechanical	mechanical	ADJ
m-930	222	4	engineering	engineering	NOUN
m-930	222	5	science	science	NOUN
m-930	222	6	.	.	PUNCT
m-930	223	1	vol	vol	NOUN
m-930	223	2	222	222	NUM
m-930	223	3	,	,	PUNCT
m-930	223	4	653	653	NUM
m-930	223	5	-	-	SYM
m-930	223	6	65	65	NUM
m-930	223	7	(	(	PUNCT
m-930	223	8	2008	2008	NUM
m-930	223	9	)	)	PUNCT
m-930	223	10	.	.	PUNCT
m-930	224	1	ijo	ijo	PROPN
m-930	224	2	journals	journal	NOUN
m-930	224	3	volume	volume	NOUN
m-930	224	4	07	07	NUM
m-930	224	5	|	|	NOUN
m-930	224	6	issue	issue	NOUN
m-930	224	7	09	09	NUM
m-930	225	1	|	|	ADV
m-930	225	2	september	september	PROPN
m-930	225	3	2024	2024	NUM
m-930	225	4	|	|	ADV
m-930	225	5	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-930	225	6	10	10	NUM