id	sid	tid	token	lemma	pos
m-1151	1	1	ijo	ijo	PROPN
m-1151	1	2	international	international	PROPN
m-1151	1	3	journal	journal	PROPN
m-1151	1	4	of	of	ADP
m-1151	1	5	mathematics	mathematics	PROPN
m-1151	1	6	(	(	PUNCT
m-1151	1	7	issn	issn	PROPN
m-1151	1	8	:	:	PUNCT
m-1151	1	9	2992	2992	NUM
m-1151	1	10	-	-	SYM
m-1151	1	11	4421	4421	NUM
m-1151	1	12	)	)	PUNCT
m-1151	2	1	*	*	PUNCT
m-1151	2	2	1	1	NUM
m-1151	2	3	boniface	boniface	NOUN
m-1151	2	4	inalu	inalu	NOUN
m-1151	2	5	obi	obi	PROPN
m-1151	2	6	*	*	PUNCT
m-1151	2	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	2	8	volume	volume	NOUN
m-1151	2	9	08	08	NUM
m-1151	3	1	||	||	PROPN
m-1151	3	2	issue	issue	NOUN
m-1151	3	3	09	09	NUM
m-1151	3	4	||	||	NOUN
m-1151	3	5	september	september	PROPN
m-1151	3	6	,	,	PUNCT
m-1151	3	7	2025	2025	NUM
m-1151	3	8	||	||	PUNCT
m-1151	4	1	“	"	PUNCT
m-1151	4	2	numerical	numerical	ADJ
m-1151	4	3	computation	computation	NOUN
m-1151	4	4	of	of	ADP
m-1151	4	5	reactive	reactive	ADJ
m-1151	4	6	flow	flow	NOUN
m-1151	4	7	of	of	ADP
m-1151	4	8	third	third	ADJ
m-1151	4	9	grade	grade	NOUN
m-1151	4	10	fluid	fluid	NOUN
m-1151	4	11	with	with	ADP
m-1151	4	12	heat	heat	NOUN
m-1151	4	13	generation	generation	NOUN
m-1151	4	14	"	"	PUNCT
m-1151	4	15	numerical	numerical	ADJ
m-1151	4	16	computation	computation	NOUN
m-1151	4	17	of	of	ADP
m-1151	4	18	reactive	reactive	ADJ
m-1151	4	19	flow	flow	NOUN
m-1151	4	20	of	of	ADP
m-1151	4	21	third	third	ADJ
m-1151	4	22	grade	grade	NOUN
m-1151	4	23	fluid	fluid	NOUN
m-1151	4	24	with	with	ADP
m-1151	4	25	heat	heat	NOUN
m-1151	4	26	generation	generation	NOUN
m-1151	4	27	*	*	SYM
m-1151	4	28	1	1	NUM
m-1151	4	29	boniface	boniface	NOUN
m-1151	4	30	inalu	inalu	NOUN
m-1151	4	31	obi,2	obi,2	PROPN
m-1151	4	32	edwin	edwin	PROPN
m-1151	4	33	esekhaigbe	esekhaigbe	PROPN
m-1151	4	34	,	,	PUNCT
m-1151	4	35	3uchenna	3uchenna	NUM
m-1151	4	36	awucha	awucha	PROPN
m-1151	4	37	uka	uka	PROPN
m-1151	4	38	1department	1department	NUM
m-1151	4	39	of	of	ADP
m-1151	4	40	mathematics	mathematic	NOUN
m-1151	4	41	,	,	PUNCT
m-1151	4	42	imo	imo	PROPN
m-1151	4	43	state	state	PROPN
m-1151	4	44	university	university	PROPN
m-1151	4	45	,	,	PUNCT
m-1151	4	46	owerri	owerri	PROPN
m-1151	4	47	,	,	PUNCT
m-1151	4	48	nigeria	nigeria	PROPN
m-1151	4	49	2mathematics	2mathematics	NUM
m-1151	4	50	and	and	CCONJ
m-1151	4	51	computer	computer	NOUN
m-1151	4	52	science	science	PROPN
m-1151	4	53	department	department	PROPN
m-1151	4	54	,	,	PUNCT
m-1151	4	55	university	university	PROPN
m-1151	4	56	of	of	ADP
m-1151	4	57	africa	africa	PROPN
m-1151	4	58	,	,	PUNCT
m-1151	4	59	bayelsa	bayelsa	PROPN
m-1151	4	60	state	state	NOUN
m-1151	4	61	,	,	PUNCT
m-1151	4	62	nigeria	nigeria	PROPN
m-1151	4	63	3basic	3basic	NUM
m-1151	4	64	science	science	NOUN
m-1151	4	65	department	department	NOUN
m-1151	4	66	,	,	PUNCT
m-1151	4	67	school	school	NOUN
m-1151	4	68	of	of	ADP
m-1151	4	69	science	science	NOUN
m-1151	4	70	and	and	CCONJ
m-1151	4	71	technology	technology	NOUN
m-1151	4	72	,	,	PUNCT
m-1151	4	73	babcock	babcock	PROPN
m-1151	4	74	university	university	PROPN
m-1151	4	75	,	,	PUNCT
m-1151	4	76	ogun	ogun	PROPN
m-1151	4	77	state	state	PROPN
m-1151	4	78	,	,	PUNCT
m-1151	4	79	nigeria	nigeria	PROPN
m-1151	4	80	corresponding	correspond	VERB
m-1151	4	81	author	author	NOUN
m-1151	4	82	*	*	PROPN
m-1151	4	83	1	1	NUM
m-1151	4	84	boniface	boniface	NOUN
m-1151	4	85	inalu	inalu	PROPN
m-1151	4	86	obi	obi	PROPN
m-1151	4	87	,	,	PUNCT
m-1151	4	88	abstract	abstract	ADJ
m-1151	4	89	computation	computation	NOUN
m-1151	4	90	of	of	ADP
m-1151	4	91	reactive	reactive	ADJ
m-1151	4	92	flow	flow	NOUN
m-1151	4	93	of	of	ADP
m-1151	4	94	third	third	ADJ
m-1151	4	95	grade	grade	NOUN
m-1151	4	96	fluid	fluid	NOUN
m-1151	4	97	in	in	ADP
m-1151	4	98	cylindrical	cylindrical	ADJ
m-1151	4	99	pipe	pipe	NOUN
m-1151	4	100	with	with	ADP
m-1151	4	101	heat	heat	NOUN
m-1151	4	102	generation	generation	NOUN
m-1151	4	103	is	be	AUX
m-1151	4	104	considered	consider	VERB
m-1151	4	105	.	.	PUNCT
m-1151	5	1	the	the	DET
m-1151	5	2	resulting	result	VERB
m-1151	5	3	governing	govern	VERB
m-1151	5	4	equations	equation	NOUN
m-1151	5	5	of	of	ADP
m-1151	5	6	motion	motion	NOUN
m-1151	5	7	are	be	AUX
m-1151	5	8	highly	highly	ADV
m-1151	5	9	nonlinear	nonlinear	ADJ
m-1151	5	10	and	and	CCONJ
m-1151	5	11	are	be	AUX
m-1151	5	12	solved	solve	VERB
m-1151	5	13	using	use	VERB
m-1151	5	14	collocation	collocation	NOUN
m-1151	5	15	method	method	NOUN
m-1151	5	16	in	in	ADP
m-1151	5	17	verifying	verify	VERB
m-1151	5	18	the	the	DET
m-1151	5	19	impacts	impact	NOUN
m-1151	5	20	of	of	ADP
m-1151	5	21	some	some	DET
m-1151	5	22	material	material	NOUN
m-1151	5	23	variables	variable	NOUN
m-1151	5	24	involved	involve	VERB
m-1151	5	25	.	.	PUNCT
m-1151	6	1	results	result	NOUN
m-1151	6	2	indicate	indicate	VERB
m-1151	6	3	that	that	DET
m-1151	6	4	increase	increase	NOUN
m-1151	6	5	in	in	ADP
m-1151	6	6	the	the	DET
m-1151	6	7	non	non	ADJ
m-1151	6	8	-	-	ADJ
m-1151	6	9	newtonian	newtonian	ADJ
m-1151	6	10	variable	variable	NOUN
m-1151	6	11	increases	increase	VERB
m-1151	6	12	the	the	DET
m-1151	6	13	flow	flow	NOUN
m-1151	6	14	velocity	velocity	NOUN
m-1151	6	15	and	and	CCONJ
m-1151	6	16	decreases	decrease	VERB
m-1151	6	17	the	the	DET
m-1151	6	18	temperature	temperature	NOUN
m-1151	6	19	of	of	ADP
m-1151	6	20	the	the	DET
m-1151	6	21	walls	wall	NOUN
m-1151	6	22	of	of	ADP
m-1151	6	23	the	the	DET
m-1151	6	24	cylindrical	cylindrical	ADJ
m-1151	6	25	pipe	pipe	NOUN
m-1151	6	26	.	.	PUNCT
m-1151	7	1	it	it	PRON
m-1151	7	2	is	be	AUX
m-1151	7	3	observed	observe	VERB
m-1151	7	4	that	that	SCONJ
m-1151	7	5	the	the	DET
m-1151	7	6	critical	critical	ADJ
m-1151	7	7	frankkamenetskii	frankkamenetskii	ADJ
m-1151	7	8	variable	variable	NOUN
m-1151	7	9	exist	exist	VERB
m-1151	7	10	for	for	ADP
m-1151	7	11	which	which	PRON
m-1151	7	12	the	the	DET
m-1151	7	13	solution	solution	NOUN
m-1151	7	14	fails	fail	VERB
m-1151	7	15	to	to	PART
m-1151	7	16	be	be	AUX
m-1151	7	17	distinct	distinct	ADJ
m-1151	7	18	.	.	PUNCT
m-1151	8	1	it	it	PRON
m-1151	8	2	is	be	AUX
m-1151	8	3	further	far	ADV
m-1151	8	4	observed	observe	VERB
m-1151	8	5	that	that	SCONJ
m-1151	8	6	for	for	ADP
m-1151	8	7	c	c	X
m-1151	8	8			X
m-1151	8	9	,	,	PUNCT
m-1151	8	10	a	a	DET
m-1151	8	11	steady	steady	ADJ
m-1151	8	12	state	state	NOUN
m-1151	8	13	solution	solution	NOUN
m-1151	8	14	does	do	AUX
m-1151	8	15	not	not	PART
m-1151	8	16	exist	exist	VERB
m-1151	8	17	suggesting	suggest	VERB
m-1151	8	18	a	a	DET
m-1151	8	19	thermal	thermal	ADJ
m-1151	8	20	runaway	runaway	NOUN
m-1151	8	21	which	which	PRON
m-1151	8	22	could	could	AUX
m-1151	8	23	be	be	AUX
m-1151	8	24	avoided	avoid	VERB
m-1151	8	25	by	by	ADP
m-1151	8	26	setting	set	VERB
m-1151	8	27	1.8879565	1.8879565	NUM
m-1151	8	28			NOUN
m-1151	8	29	.	.	PUNCT
m-1151	9	1	keywords	keyword	NOUN
m-1151	9	2	:	:	PUNCT
m-1151	9	3	numerical	numerical	ADJ
m-1151	9	4	,	,	PUNCT
m-1151	9	5	third	third	ADJ
m-1151	9	6	grade	grade	NOUN
m-1151	9	7	,	,	PUNCT
m-1151	9	8	heat	heat	NOUN
m-1151	9	9	generation	generation	NOUN
m-1151	9	10	,	,	PUNCT
m-1151	9	11	reactive	reactive	NOUN
m-1151	9	12	,	,	PUNCT
m-1151	9	13	computation	computation	NOUN
m-1151	9	14	.	.	PUNCT
m-1151	10	1	1	1	X
m-1151	10	2	.	.	X
m-1151	10	3	introduction	introduction	NOUN
m-1151	10	4	third	third	ADJ
m-1151	10	5	grade	grade	NOUN
m-1151	10	6	fluid	fluid	NOUN
m-1151	10	7	is	be	AUX
m-1151	10	8	in	in	ADP
m-1151	10	9	the	the	DET
m-1151	10	10	class	class	NOUN
m-1151	10	11	of	of	ADP
m-1151	10	12	nonnewtonian	nonnewtonian	NOUN
m-1151	10	13	fluids	fluid	NOUN
m-1151	10	14	of	of	ADP
m-1151	10	15	the	the	DET
m-1151	10	16	differential	differential	ADJ
m-1151	10	17	type	type	NOUN
m-1151	10	18	.	.	PUNCT
m-1151	11	1	it	it	PRON
m-1151	11	2	is	be	AUX
m-1151	11	3	a	a	DET
m-1151	11	4	class	class	NOUN
m-1151	11	5	of	of	ADP
m-1151	11	6	nonnewtonian	nonnewtonian	ADJ
m-1151	11	7	fluid	fluid	NOUN
m-1151	11	8	where	where	SCONJ
m-1151	11	9	the	the	DET
m-1151	11	10	stress	stress	NOUN
m-1151	11	11	tensor	tensor	NOUN
m-1151	11	12	is	be	AUX
m-1151	11	13	the	the	DET
m-1151	11	14	addition	addition	NOUN
m-1151	11	15	of	of	ADP
m-1151	11	16	all	all	DET
m-1151	11	17	the	the	DET
m-1151	11	18	tensors	tensor	NOUN
m-1151	11	19	that	that	PRON
m-1151	11	20	can	can	AUX
m-1151	11	21	be	be	AUX
m-1151	11	22	developed	develop	VERB
m-1151	11	23	from	from	ADP
m-1151	11	24	the	the	DET
m-1151	11	25	velocity	velocity	NOUN
m-1151	11	26	field	field	NOUN
m-1151	11	27	with	with	ADP
m-1151	11	28	up	up	ADP
m-1151	11	29	to	to	PART
m-1151	11	30	three	three	NUM
m-1151	11	31	derivatives	derivative	NOUN
m-1151	11	32	.	.	PUNCT
m-1151	12	1	example	example	NOUN
m-1151	12	2	of	of	ADP
m-1151	12	3	this	this	DET
m-1151	12	4	class	class	NOUN
m-1151	12	5	of	of	ADP
m-1151	12	6	fluid	fluid	NOUN
m-1151	12	7	include	include	VERB
m-1151	12	8	ketchup	ketchup	NOUN
m-1151	12	9	,	,	PUNCT
m-1151	12	10	paints	paint	NOUN
m-1151	12	11	,	,	PUNCT
m-1151	12	12	blood	blood	NOUN
m-1151	12	13	etc	etc	X
m-1151	12	14	.	.	PUNCT
m-1151	13	1	chemical	chemical	NOUN
m-1151	13	2	reactions	reaction	NOUN
m-1151	13	3	involved	involve	VERB
m-1151	13	4	in	in	ADP
m-1151	13	5	fluid	fluid	NOUN
m-1151	13	6	which	which	PRON
m-1151	13	7	is	be	AUX
m-1151	13	8	capable	capable	ADJ
m-1151	13	9	of	of	ADP
m-1151	13	10	altering	alter	VERB
m-1151	13	11	the	the	DET
m-1151	13	12	fluids	fluid	NOUN
m-1151	13	13	properties	property	NOUN
m-1151	13	14	and	and	CCONJ
m-1151	13	15	composition	composition	NOUN
m-1151	13	16	in	in	ADP
m-1151	13	17	flow	flow	NOUN
m-1151	13	18	process	process	NOUN
m-1151	13	19	is	be	AUX
m-1151	13	20	referred	refer	VERB
m-1151	13	21	to	to	ADP
m-1151	13	22	as	as	ADP
m-1151	13	23	reactive	reactive	ADJ
m-1151	13	24	flow	flow	NOUN
m-1151	13	25	.	.	PUNCT
m-1151	14	1	there	there	PRON
m-1151	14	2	are	be	VERB
m-1151	14	3	some	some	DET
m-1151	14	4	studies	study	NOUN
m-1151	14	5	now	now	ADV
m-1151	14	6	available	available	ADJ
m-1151	14	7	in	in	ADP
m-1151	14	8	literature	literature	NOUN
m-1151	14	9	.	.	PUNCT
m-1151	15	1	some	some	PRON
m-1151	15	2	of	of	ADP
m-1151	15	3	the	the	DET
m-1151	15	4	earliest	early	ADJ
m-1151	15	5	work	work	NOUN
m-1151	15	6	on	on	ADP
m-1151	15	7	third	third	ADJ
m-1151	15	8	grade	grade	NOUN
m-1151	15	9	fluid	fluid	NOUN
m-1151	15	10	are	be	AUX
m-1151	15	11	fosdick	fosdick	NOUN
m-1151	15	12	and	and	CCONJ
m-1151	15	13	rajagopal	rajagopal	NOUN
m-1151	15	14	[	[	X
m-1151	15	15	3	3	NUM
m-1151	15	16	]	]	PUNCT
m-1151	15	17	analyzed	analyze	VERB
m-1151	15	18	the	the	DET
m-1151	15	19	thermodynamic	thermodynamic	ADJ
m-1151	15	20	third	third	ADJ
m-1151	15	21	grade	grade	NOUN
m-1151	15	22	fluid	fluid	NOUN
m-1151	15	23	and	and	CCONJ
m-1151	15	24	showed	show	VERB
m-1151	15	25	the	the	DET
m-1151	15	26	restrictions	restriction	NOUN
m-1151	15	27	on	on	ADP
m-1151	15	28	the	the	DET
m-1151	15	29	stress	stress	NOUN
m-1151	15	30	constitutive	constitutive	ADJ
m-1151	15	31	model	model	NOUN
m-1151	15	32	.	.	PUNCT
m-1151	16	1	rajagopal	rajagopal	PROPN
m-1151	17	1	[	[	X
m-1151	17	2	10	10	NUM
m-1151	17	3	]	]	PUNCT
m-1151	17	4	examined	examine	VERB
m-1151	17	5	the	the	DET
m-1151	17	6	stability	stability	NOUN
m-1151	17	7	properties	property	NOUN
m-1151	17	8	of	of	ADP
m-1151	17	9	third	third	ADJ
m-1151	17	10	grade	grade	NOUN
m-1151	17	11	fluids	fluid	NOUN
m-1151	17	12	.	.	PUNCT
m-1151	18	1	szeri	szeri	NOUN
m-1151	18	2	and	and	CCONJ
m-1151	18	3	rajagopal	rajagopal	NOUN
m-1151	19	1	[	[	X
m-1151	19	2	13	13	NUM
m-1151	19	3	]	]	PUNCT
m-1151	19	4	investigated	investigate	VERB
m-1151	19	5	the	the	DET
m-1151	19	6	flow	flow	NOUN
m-1151	19	7	of	of	ADP
m-1151	19	8	third	third	ADJ
m-1151	19	9	grade	grade	NOUN
m-1151	19	10	fluids	fluid	NOUN
m-1151	19	11	between	between	ADP
m-1151	19	12	heated	heated	ADJ
m-1151	19	13	parallel	parallel	ADJ
m-1151	19	14	plates	plate	NOUN
m-1151	19	15	.	.	PUNCT
m-1151	20	1	ellahi	ellahi	PROPN
m-1151	20	2	et	et	PROPN
m-1151	20	3	al	al	PROPN
m-1151	21	1	[	[	X
m-1151	21	2	1	1	X
m-1151	21	3	]	]	PUNCT
m-1151	21	4	examined	examine	VERB
m-1151	21	5	the	the	DET
m-1151	21	6	impacts	impact	NOUN
m-1151	21	7	of	of	ADP
m-1151	21	8	slip	slip	NOUN
m-1151	21	9	on	on	ADP
m-1151	21	10	the	the	DET
m-1151	21	11	nonlinear	nonlinear	ADJ
m-1151	21	12	flows	flow	NOUN
m-1151	21	13	of	of	ADP
m-1151	21	14	a	a	DET
m-1151	21	15	third	third	ADJ
m-1151	21	16	grade	grade	NOUN
m-1151	21	17	fluid	fluid	NOUN
m-1151	21	18	.	.	PUNCT
m-1151	22	1	in	in	ADP
m-1151	22	2	the	the	DET
m-1151	22	3	investigation	investigation	NOUN
m-1151	22	4	,	,	PUNCT
m-1151	22	5	the	the	DET
m-1151	22	6	results	result	NOUN
m-1151	22	7	of	of	ADP
m-1151	22	8	no	no	DET
m-1151	22	9	-	-	PUNCT
m-1151	22	10	slip	slip	NOUN
m-1151	22	11	condition	condition	NOUN
m-1151	22	12	were	be	AUX
m-1151	22	13	inferred	infer	VERB
m-1151	22	14	as	as	ADP
m-1151	22	15	a	a	DET
m-1151	22	16	restricting	restrict	VERB
m-1151	22	17	case	case	NOUN
m-1151	22	18	when	when	SCONJ
m-1151	22	19	the	the	DET
m-1151	22	20	slip	slip	NOUN
m-1151	22	21	variable	variable	NOUN
m-1151	22	22	is	be	AUX
m-1151	22	23	equal	equal	ADJ
m-1151	22	24	to	to	ADP
m-1151	22	25	zero	zero	NUM
m-1151	22	26	.	.	PUNCT
m-1151	23	1	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	23	2	ijo	ijo	PROPN
m-1151	23	3	journals	journal	NOUN
m-1151	23	4	volume	volume	NOUN
m-1151	23	5	08	08	NUM
m-1151	24	1	|	|	ADV
m-1151	24	2	issue	issue	NOUN
m-1151	24	3	09	09	NUM
m-1151	24	4	|	|	ADV
m-1151	24	5	september	september	PROPN
m-1151	24	6	2025	2025	NUM
m-1151	24	7	|	|	ADV
m-1151	24	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1151	24	9	66	66	NUM
m-1151	24	10	ijo	ijo	PROPN
m-1151	24	11	international	international	ADJ
m-1151	24	12	journal	journal	PROPN
m-1151	24	13	of	of	ADP
m-1151	24	14	mathematics	mathematics	PROPN
m-1151	24	15	(	(	PUNCT
m-1151	24	16	issn	issn	PROPN
m-1151	24	17	:	:	PUNCT
m-1151	24	18	2992	2992	NUM
m-1151	24	19	-	-	SYM
m-1151	24	20	4421	4421	NUM
m-1151	24	21	)	)	PUNCT
m-1151	25	1	*	*	PUNCT
m-1151	25	2	1	1	NUM
m-1151	25	3	boniface	boniface	NOUN
m-1151	25	4	inalu	inalu	NOUN
m-1151	25	5	obi	obi	PROPN
m-1151	25	6	*	*	PUNCT
m-1151	25	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	25	8	volume	volume	NOUN
m-1151	25	9	08	08	NUM
m-1151	26	1	||	||	PROPN
m-1151	26	2	issue	issue	NOUN
m-1151	26	3	09	09	NUM
m-1151	26	4	||	||	NOUN
m-1151	26	5	september	september	PROPN
m-1151	26	6	,	,	PUNCT
m-1151	26	7	2025	2025	NUM
m-1151	26	8	||	||	PUNCT
m-1151	27	1	“	"	PUNCT
m-1151	27	2	numerical	numerical	ADJ
m-1151	27	3	computation	computation	NOUN
m-1151	27	4	of	of	ADP
m-1151	27	5	reactive	reactive	ADJ
m-1151	27	6	flow	flow	NOUN
m-1151	27	7	of	of	ADP
m-1151	27	8	third	third	ADJ
m-1151	27	9	grade	grade	NOUN
m-1151	27	10	fluid	fluid	NOUN
m-1151	27	11	with	with	ADP
m-1151	27	12	heat	heat	NOUN
m-1151	27	13	generation	generation	NOUN
m-1151	27	14	"	"	PUNCT
m-1151	27	15	makinde	makinde	NOUN
m-1151	27	16	[	[	X
m-1151	27	17	4	4	NUM
m-1151	27	18	]	]	PUNCT
m-1151	27	19	investigated	investigate	VERB
m-1151	27	20	a	a	DET
m-1151	27	21	steady	steady	ADJ
m-1151	27	22	flow	flow	NOUN
m-1151	27	23	of	of	ADP
m-1151	27	24	a	a	DET
m-1151	27	25	reactive	reactive	ADJ
m-1151	27	26	variable	variable	ADJ
m-1151	27	27	viscosity	viscosity	NOUN
m-1151	27	28	fluid	fluid	NOUN
m-1151	27	29	in	in	ADP
m-1151	27	30	a	a	DET
m-1151	27	31	cylindrical	cylindrical	ADJ
m-1151	27	32	pipe	pipe	NOUN
m-1151	27	33	with	with	ADP
m-1151	27	34	an	an	DET
m-1151	27	35	isothermal	isothermal	ADJ
m-1151	27	36	wall	wall	NOUN
m-1151	27	37	.	.	PUNCT
m-1151	28	1	makinde	makinde	PROPN
m-1151	29	1	[	[	X
m-1151	29	2	5	5	NUM
m-1151	29	3	]	]	PUNCT
m-1151	29	4	studied	study	VERB
m-1151	29	5	the	the	DET
m-1151	29	6	thermal	thermal	ADJ
m-1151	29	7	criticality	criticality	NOUN
m-1151	29	8	for	for	ADP
m-1151	29	9	reactive	reactive	ADJ
m-1151	29	10	gravity	gravity	NOUN
m-1151	29	11	-	-	PUNCT
m-1151	29	12	driven	drive	VERB
m-1151	29	13	thin	thin	ADJ
m-1151	29	14	film	film	NOUN
m-1151	29	15	flow	flow	NOUN
m-1151	29	16	of	of	ADP
m-1151	29	17	a	a	DET
m-1151	29	18	third	third	ADJ
m-1151	29	19	grade	grade	NOUN
m-1151	29	20	fluid	fluid	NOUN
m-1151	29	21	with	with	ADP
m-1151	29	22	adiabatic	adiabatic	ADJ
m-1151	29	23	free	free	ADJ
m-1151	29	24	surface	surface	NOUN
m-1151	29	25	down	down	ADP
m-1151	29	26	an	an	DET
m-1151	29	27	inclined	inclined	ADJ
m-1151	29	28	plane	plane	NOUN
m-1151	29	29	.	.	PUNCT
m-1151	30	1	salawuland	salawuland	NOUN
m-1151	30	2	fatumbi	fatumbi	NOUN
m-1151	31	1	[	[	X
m-1151	31	2	11	11	NUM
m-1151	31	3	]	]	PUNCT
m-1151	31	4	examination	examination	NOUN
m-1151	31	5	the	the	DET
m-1151	31	6	inherent	inherent	ADJ
m-1151	31	7	irreversibility	irreversibility	NOUN
m-1151	31	8	of	of	ADP
m-1151	31	9	hydromagnetic	hydromagnetic	ADJ
m-1151	31	10	third	third	ADJ
m-1151	31	11	grade	grade	NOUN
m-1151	31	12	reactive	reactive	ADJ
m-1151	31	13	poiseuille	poiseuille	NOUN
m-1151	31	14	flow	flow	NOUN
m-1151	31	15	with	with	ADP
m-1151	31	16	variable	variable	ADJ
m-1151	31	17	viscosity	viscosity	NOUN
m-1151	31	18	.	.	PUNCT
m-1151	32	1	the	the	PRON
m-1151	32	2	employed	employ	VERB
m-1151	32	3	the	the	DET
m-1151	32	4	weighted	weighted	ADJ
m-1151	32	5	residual	residual	ADJ
m-1151	32	6	method	method	NOUN
m-1151	32	7	for	for	ADP
m-1151	32	8	the	the	DET
m-1151	32	9	solution	solution	NOUN
m-1151	32	10	.	.	PUNCT
m-1151	33	1	the	the	DET
m-1151	33	2	study	study	NOUN
m-1151	33	3	shows	show	VERB
m-1151	33	4	that	that	SCONJ
m-1151	33	5	the	the	DET
m-1151	33	6	heat	heat	NOUN
m-1151	33	7	dissipation	dissipation	NOUN
m-1151	33	8	of	of	ADP
m-1151	33	9	reactive	reactive	ADJ
m-1151	33	10	exothermic	exothermic	ADJ
m-1151	33	11	chemical	chemical	NOUN
m-1151	33	12	in	in	ADP
m-1151	33	13	a	a	DET
m-1151	33	14	uniform	uniform	ADJ
m-1151	33	15	magnetic	magnetic	ADJ
m-1151	33	16	field	field	NOUN
m-1151	33	17	moved	move	VERB
m-1151	33	18	past	past	ADJ
m-1151	33	19	fluid	fluid	NOUN
m-1151	33	20	in	in	ADP
m-1151	33	21	a	a	DET
m-1151	33	22	porous	porous	ADJ
m-1151	33	23	medium	medium	NOUN
m-1151	33	24	in	in	ADP
m-1151	33	25	an	an	DET
m-1151	33	26	irreversible	irreversible	ADJ
m-1151	33	27	mode	mode	NOUN
m-1151	33	28	.	.	PUNCT
m-1151	34	1	the	the	DET
m-1151	34	2	study	study	NOUN
m-1151	34	3	on	on	ADP
m-1151	34	4	steady	steady	ADJ
m-1151	34	5	flow	flow	NOUN
m-1151	34	6	of	of	ADP
m-1151	34	7	a	a	DET
m-1151	34	8	reactive	reactive	ADJ
m-1151	34	9	viscous	viscous	ADJ
m-1151	34	10	fluid	fluid	NOUN
m-1151	34	11	in	in	ADP
m-1151	34	12	porous	porous	ADJ
m-1151	34	13	cylindrical	cylindrical	ADJ
m-1151	34	14	pipe	pipe	NOUN
m-1151	34	15	was	be	AUX
m-1151	34	16	carried	carry	VERB
m-1151	34	17	out	out	ADP
m-1151	34	18	byfarayola	byfarayola	PROPN
m-1151	35	1	[	[	X
m-1151	35	2	2	2	NUM
m-1151	35	3	]	]	PUNCT
m-1151	35	4	.	.	PUNCT
m-1151	36	1	the	the	DET
m-1151	36	2	investigation	investigation	NOUN
m-1151	36	3	was	be	AUX
m-1151	36	4	done	do	VERB
m-1151	36	5	using	use	VERB
m-1151	36	6	regular	regular	ADJ
m-1151	36	7	perturbation	perturbation	NOUN
m-1151	36	8	for	for	ADP
m-1151	36	9	the	the	DET
m-1151	36	10	solution	solution	NOUN
m-1151	36	11	of	of	ADP
m-1151	36	12	the	the	DET
m-1151	36	13	nonlinear	nonlinear	ADJ
m-1151	36	14	equation	equation	NOUN
m-1151	36	15	.	.	PUNCT
m-1151	37	1	okedayo	okedayo	PROPN
m-1151	37	2	et	et	PROPN
m-1151	37	3	al	al	PROPN
m-1151	38	1	[	[	X
m-1151	38	2	9	9	NUM
m-1151	38	3	]	]	PUNCT
m-1151	38	4	numerically	numerically	ADV
m-1151	38	5	investigated	investigate	VERB
m-1151	38	6	the	the	DET
m-1151	38	7	reactive	reactive	NOUN
m-1151	38	8	mhd	mhd	NOUN
m-1151	38	9	flow	flow	NOUN
m-1151	38	10	of	of	ADP
m-1151	38	11	thrd	thrd	ADJ
m-1151	38	12	grade	grade	NOUN
m-1151	38	13	fluid	fluid	NOUN
m-1151	38	14	in	in	ADP
m-1151	38	15	pipe.the	pipe.the	DET
m-1151	38	16	study	study	NOUN
m-1151	38	17	involved	involve	VERB
m-1151	38	18	the	the	DET
m-1151	38	19	weighted	weighted	ADJ
m-1151	38	20	residual	residual	ADJ
m-1151	38	21	collocation	collocation	NOUN
m-1151	38	22	method	method	NOUN
m-1151	38	23	which	which	PRON
m-1151	38	24	was	be	AUX
m-1151	38	25	use	use	NOUN
m-1151	38	26	as	as	ADP
m-1151	38	27	a	a	DET
m-1151	38	28	computational	computational	ADJ
m-1151	38	29	means	mean	NOUN
m-1151	38	30	of	of	ADP
m-1151	38	31	solution	solution	NOUN
m-1151	38	32	and	and	CCONJ
m-1151	38	33	were	be	AUX
m-1151	38	34	able	able	ADJ
m-1151	38	35	to	to	PART
m-1151	38	36	display	display	VERB
m-1151	38	37	the	the	DET
m-1151	38	38	influence	influence	NOUN
m-1151	38	39	of	of	ADP
m-1151	38	40	various	various	ADJ
m-1151	38	41	thermophysical	thermophysical	ADJ
m-1151	38	42	parameter	parameter	NOUN
m-1151	38	43	.	.	PUNCT
m-1151	39	1	it	it	PRON
m-1151	39	2	was	be	AUX
m-1151	39	3	observed	observe	VERB
m-1151	39	4	that	that	SCONJ
m-1151	39	5	the	the	DET
m-1151	39	6	critical	critical	ADJ
m-1151	39	7	value	value	NOUN
m-1151	39	8	of	of	ADP
m-1151	39	9	the	the	DET
m-1151	39	10	frank	frank	PROPN
m-1151	39	11	-	-	PUNCT
m-1151	39	12	kamenetskii	kamenetskii	PROPN
m-1151	39	13	and	and	CCONJ
m-1151	39	14	third	third	ADJ
m-1151	39	15	grade	grade	NOUN
m-1151	39	16	parameters	parameter	NOUN
m-1151	39	17	exists	exist	VERB
m-1151	39	18	for	for	ADP
m-1151	39	19	which	which	PRON
m-1151	39	20	the	the	DET
m-1151	39	21	solution	solution	NOUN
m-1151	39	22	sizes	size	VERB
m-1151	39	23	to	to	PART
m-1151	39	24	be	be	AUX
m-1151	39	25	unique	unique	ADJ
m-1151	39	26	.	.	PUNCT
m-1151	40	1	obi	obi	NOUN
m-1151	40	2	et	et	PROPN
m-1151	40	3	al	al	PROPN
m-1151	41	1	[	[	X
m-1151	41	2	7	7	NUM
m-1151	41	3	]	]	PUNCT
m-1151	41	4	analyzed	analyze	VERB
m-1151	41	5	the	the	DET
m-1151	41	6	incompressible	incompressible	ADJ
m-1151	41	7	flow	flow	NOUN
m-1151	41	8	of	of	ADP
m-1151	41	9	third	third	ADJ
m-1151	41	10	grade	grade	NOUN
m-1151	41	11	fluid	fluid	NOUN
m-1151	41	12	in	in	ADP
m-1151	41	13	an	an	DET
m-1151	41	14	inclined	inclined	ADJ
m-1151	41	15	rotating	rotate	VERB
m-1151	41	16	cylindrical	cylindrical	ADJ
m-1151	41	17	pipe	pipe	NOUN
m-1151	41	18	with	with	ADP
m-1151	41	19	isothermal	isothermal	ADJ
m-1151	41	20	wall	wall	NOUN
m-1151	41	21	and	and	CCONJ
m-1151	41	22	joule	joule	PROPN
m-1151	41	23	heating	heating	NOUN
m-1151	41	24	.	.	PUNCT
m-1151	42	1	they	they	PRON
m-1151	42	2	solved	solve	VERB
m-1151	42	3	the	the	DET
m-1151	42	4	nonlinear	nonlinear	ADJ
m-1151	42	5	equations	equation	NOUN
m-1151	42	6	by	by	ADP
m-1151	42	7	perturbation	perturbation	NOUN
m-1151	42	8	method	method	NOUN
m-1151	42	9	and	and	CCONJ
m-1151	42	10	the	the	DET
m-1151	42	11	effect	effect	NOUN
m-1151	42	12	of	of	ADP
m-1151	42	13	some	some	DET
m-1151	42	14	parameter	parameter	NOUN
m-1151	42	15	on	on	ADP
m-1151	42	16	the	the	DET
m-1151	42	17	flow	flow	NOUN
m-1151	42	18	presented	present	VERB
m-1151	42	19	graphically	graphically	ADV
m-1151	42	20	.	.	PUNCT
m-1151	43	1	yurusoyand	yurusoyand	PROPN
m-1151	43	2	pakdemirli	pakdemirli	PROPN
m-1151	44	1	[	[	X
m-1151	44	2	14	14	NUM
m-1151	44	3	]	]	PUNCT
m-1151	44	4	investigated	investigate	VERB
m-1151	44	5	the	the	DET
m-1151	44	6	fluid	fluid	ADJ
m-1151	44	7	flow	flow	NOUN
m-1151	44	8	of	of	ADP
m-1151	44	9	third	third	ADJ
m-1151	44	10	grade	grade	NOUN
m-1151	44	11	fluid	fluid	NOUN
m-1151	44	12	in	in	ADP
m-1151	44	13	pipe	pipe	NOUN
m-1151	44	14	with	with	ADP
m-1151	44	15	heat	heat	NOUN
m-1151	44	16	transfer	transfer	NOUN
m-1151	44	17	with	with	ADP
m-1151	44	18	a	a	DET
m-1151	44	19	case	case	NOUN
m-1151	44	20	of	of	ADP
m-1151	44	21	constant	constant	ADJ
m-1151	44	22	viscosity	viscosity	NOUN
m-1151	44	23	.	.	PUNCT
m-1151	45	1	reynold’sand	reynold’sand	PROPN
m-1151	45	2	vogel	vogel	NOUN
m-1151	45	3	’s	’s	PART
m-1151	45	4	models	model	NOUN
m-1151	45	5	were	be	AUX
m-1151	45	6	introduced	introduce	VERB
m-1151	45	7	to	to	PART
m-1151	45	8	account	account	VERB
m-1151	45	9	for	for	ADP
m-1151	45	10	temperature	temperature	NOUN
m-1151	45	11	-	-	PUNCT
m-1151	45	12	dependent	dependent	ADJ
m-1151	45	13	viscosity	viscosity	NOUN
m-1151	45	14	.	.	PUNCT
m-1151	46	1	they	they	PRON
m-1151	46	2	analytically	analytically	ADV
m-1151	46	3	examined	examine	VERB
m-1151	46	4	the	the	DET
m-1151	46	5	flow	flow	NOUN
m-1151	46	6	and	and	CCONJ
m-1151	46	7	compared	compare	VERB
m-1151	46	8	the	the	DET
m-1151	46	9	result	result	NOUN
m-1151	46	10	with	with	ADP
m-1151	46	11	the	the	DET
m-1151	46	12	finite	finite	ADJ
m-1151	46	13	difference	difference	NOUN
m-1151	46	14	procedure	procedure	NOUN
m-1151	46	15	earlier	early	ADV
m-1151	46	16	given	give	VERB
m-1151	46	17	by	by	ADP
m-1151	46	18	massaudi	massaudi	PROPN
m-1151	46	19	and	and	CCONJ
m-1151	46	20	christie	christie	NOUN
m-1151	47	1	[	[	X
m-1151	47	2	6	6	NUM
m-1151	47	3	]	]	PUNCT
m-1151	47	4	.	.	PUNCT
m-1151	48	1	okedayo	okedayo	PROPN
m-1151	48	2	et	et	PROPN
m-1151	48	3	al	al	PROPN
m-1151	49	1	[	[	X
m-1151	49	2	8	8	NUM
m-1151	49	3	]	]	PUNCT
m-1151	49	4	focuses	focus	VERB
m-1151	49	5	on	on	ADP
m-1151	49	6	gaterkinweighted	gaterkinweighte	VERB
m-1151	49	7	residual	residual	ADJ
m-1151	49	8	method	method	NOUN
m-1151	49	9	for	for	ADP
m-1151	49	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
m-1151	49	11	mixed	mixed	ADJ
m-1151	49	12	convection	convection	NOUN
m-1151	49	13	flow	flow	NOUN
m-1151	49	14	in	in	ADP
m-1151	49	15	a	a	DET
m-1151	49	16	vertical	vertical	ADJ
m-1151	49	17	channel	channel	NOUN
m-1151	49	18	filled	fill	VERB
m-1151	49	19	with	with	ADP
m-1151	49	20	porous	porous	ADJ
m-1151	49	21	media	medium	NOUN
m-1151	49	22	.	.	PUNCT
m-1151	50	1	results	result	NOUN
m-1151	50	2	obtained	obtain	VERB
m-1151	50	3	were	be	AUX
m-1151	50	4	analyzed	analyze	VERB
m-1151	50	5	using	use	VERB
m-1151	50	6	tables	table	NOUN
m-1151	50	7	and	and	CCONJ
m-1151	50	8	graphs	graph	NOUN
m-1151	50	9	.	.	PUNCT
m-1151	51	1	siddiqui	siddiqui	NOUN
m-1151	51	2	et	et	PROPN
m-1151	51	3	al	al	PROPN
m-1151	52	1	[	[	X
m-1151	52	2	12	12	NUM
m-1151	52	3	]	]	PUNCT
m-1151	52	4	analyzed	analyze	VERB
m-1151	52	5	the	the	DET
m-1151	52	6	thin	thin	ADJ
m-1151	52	7	film	film	NOUN
m-1151	52	8	flow	flow	NOUN
m-1151	52	9	of	of	ADP
m-1151	52	10	third	third	ADJ
m-1151	52	11	grade	grade	NOUN
m-1151	52	12	fluid	fluid	NOUN
m-1151	52	13	down	down	ADP
m-1151	52	14	an	an	DET
m-1151	52	15	inclined	inclined	ADJ
m-1151	52	16	plane	plane	NOUN
m-1151	52	17	using	use	VERB
m-1151	52	18	the	the	DET
m-1151	52	19	combined	combined	ADJ
m-1151	52	20	traditional	traditional	ADJ
m-1151	52	21	perturbation	perturbation	NOUN
m-1151	52	22	as	as	ADV
m-1151	52	23	well	well	ADV
m-1151	52	24	as	as	ADP
m-1151	52	25	the	the	DET
m-1151	52	26	homotopy	homotopy	NOUN
m-1151	52	27	perturbation	perturbation	NOUN
m-1151	52	28	methods	method	NOUN
m-1151	52	29	and	and	CCONJ
m-1151	52	30	comparison	comparison	NOUN
m-1151	52	31	made	make	VERB
m-1151	52	32	of	of	ADP
m-1151	52	33	the	the	DET
m-1151	52	34	two	two	NUM
m-1151	52	35	results	result	NOUN
m-1151	52	36	obtained	obtain	VERB
m-1151	52	37	from	from	ADP
m-1151	52	38	the	the	DET
m-1151	52	39	two	two	NUM
m-1151	52	40	techniques	technique	NOUN
m-1151	52	41	.	.	PUNCT
m-1151	53	1	this	this	DET
m-1151	53	2	research	research	NOUN
m-1151	53	3	seeks	seek	VERB
m-1151	53	4	to	to	PART
m-1151	53	5	examine	examine	VERB
m-1151	53	6	the	the	DET
m-1151	53	7	consequences	consequence	NOUN
m-1151	53	8	of	of	ADP
m-1151	53	9	the	the	DET
m-1151	53	10	frank	frank	PROPN
m-1151	53	11	-	-	PUNCT
m-1151	53	12	kamenetskii	kamenetskii	PROPN
m-1151	53	13	parameter	parameter	NOUN
m-1151	53	14	on	on	ADP
m-1151	53	15	the	the	DET
m-1151	53	16	reactive	reactive	ADJ
m-1151	53	17	flow	flow	NOUN
m-1151	53	18	of	of	ADP
m-1151	53	19	third	third	ADJ
m-1151	53	20	grade	grade	NOUN
m-1151	53	21	fluid	fluid	NOUN
m-1151	53	22	in	in	ADP
m-1151	53	23	cylindrical	cylindrical	ADJ
m-1151	53	24	pipe	pipe	NOUN
m-1151	53	25	.	.	PUNCT
m-1151	54	1	2	2	X
m-1151	54	2	.	.	X
m-1151	54	3	formulation	formulation	NOUN
m-1151	54	4	of	of	ADP
m-1151	54	5	the	the	DET
m-1151	54	6	problem	problem	NOUN
m-1151	54	7	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	54	8	ijo	ijo	PROPN
m-1151	54	9	journals	journal	NOUN
m-1151	54	10	volume	volume	NOUN
m-1151	54	11	08	08	NUM
m-1151	55	1	|	|	ADV
m-1151	55	2	issue	issue	NOUN
m-1151	55	3	09	09	NUM
m-1151	55	4	|	|	ADV
m-1151	55	5	september	september	PROPN
m-1151	55	6	2025	2025	NUM
m-1151	56	1	|	|	ADV
m-1151	56	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	56	3	67	67	NUM
m-1151	56	4	ijo	ijo	PROPN
m-1151	56	5	international	international	PROPN
m-1151	56	6	journal	journal	PROPN
m-1151	56	7	of	of	ADP
m-1151	56	8	mathematics	mathematics	PROPN
m-1151	56	9	(	(	PUNCT
m-1151	56	10	issn	issn	PROPN
m-1151	56	11	:	:	PUNCT
m-1151	56	12	2992	2992	NUM
m-1151	56	13	-	-	SYM
m-1151	56	14	4421	4421	NUM
m-1151	56	15	)	)	PUNCT
m-1151	57	1	*	*	PUNCT
m-1151	57	2	1	1	NUM
m-1151	57	3	boniface	boniface	NOUN
m-1151	57	4	inalu	inalu	NOUN
m-1151	57	5	obi	obi	PROPN
m-1151	57	6	*	*	PUNCT
m-1151	57	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	57	8	volume	volume	NOUN
m-1151	57	9	08	08	NUM
m-1151	58	1	||	||	PROPN
m-1151	58	2	issue	issue	NOUN
m-1151	58	3	09	09	NUM
m-1151	58	4	||	||	NOUN
m-1151	58	5	september	september	PROPN
m-1151	58	6	,	,	PUNCT
m-1151	58	7	2025	2025	NUM
m-1151	58	8	||	||	PUNCT
m-1151	59	1	“	"	PUNCT
m-1151	59	2	numerical	numerical	ADJ
m-1151	59	3	computation	computation	NOUN
m-1151	59	4	of	of	ADP
m-1151	59	5	reactive	reactive	ADJ
m-1151	59	6	flow	flow	NOUN
m-1151	59	7	of	of	ADP
m-1151	59	8	third	third	ADJ
m-1151	59	9	grade	grade	NOUN
m-1151	59	10	fluid	fluid	NOUN
m-1151	59	11	with	with	ADP
m-1151	59	12	heat	heat	NOUN
m-1151	59	13	generation	generation	NOUN
m-1151	59	14	"	"	PUNCT
m-1151	59	15	the	the	DET
m-1151	59	16	fundamental	fundamental	ADJ
m-1151	59	17	models	model	NOUN
m-1151	59	18	of	of	ADP
m-1151	59	19	an	an	DET
m-1151	59	20	incompressible	incompressible	ADJ
m-1151	59	21	viscous	viscous	ADJ
m-1151	59	22	flow	flow	NOUN
m-1151	59	23	are	be	AUX
m-1151	59	24	the	the	DET
m-1151	59	25	mass	mass	ADJ
m-1151	59	26	and	and	CCONJ
m-1151	59	27	momentum	momentum	NOUN
m-1151	59	28	conservation	conservation	NOUN
m-1151	59	29	laws	law	NOUN
m-1151	59	30	which	which	PRON
m-1151	59	31	in	in	ADP
m-1151	59	32	the	the	DET
m-1151	59	33	absence	absence	NOUN
m-1151	59	34	of	of	ADP
m-1151	59	35	heat	heat	NOUN
m-1151	59	36	transfer	transfer	NOUN
m-1151	59	37	process	process	NOUN
m-1151	59	38	,	,	PUNCT
m-1151	59	39	such	such	ADJ
m-1151	59	40	laws	law	NOUN
m-1151	59	41	are	be	AUX
m-1151	59	42	defined	define	VERB
m-1151	59	43	through	through	ADP
m-1151	59	44	continuity	continuity	NOUN
m-1151	59	45	and	and	CCONJ
m-1151	59	46	momentum	momentum	NOUN
m-1151	59	47	equations	equation	NOUN
m-1151	59	48	.	.	PUNCT
m-1151	60	1	in	in	ADP
m-1151	60	2	vector	vector	NOUN
m-1151	60	3	form	form	NOUN
m-1151	60	4	,	,	PUNCT
m-1151	60	5			PROPN
m-1151	60	6	.	.	NOUN
m-1151	60	7	0	0	NUM
m-1151	60	8	1	1	NUM
m-1151	60	9	f+div	f+div	X
m-1151	60	10	u	u	NOUN
m-1151	60	11	du	du	PROPN
m-1151	60	12	u	u	NOUN
m-1151	60	13	p	p	PROPN
m-1151	60	14	dt	dt	X
m-1151	60	15	k	k	PROPN
m-1151	60	16			PROPN
m-1151	60	17			ADP
m-1151	60	18			ADP
m-1151	60	19			PROPN
m-1151	60	20			NOUN
m-1151	60	21			NUM
m-1151	60	22			PROPN
m-1151	60	23			NOUN
m-1151	60	24			ADV
m-1151	60	25			NOUN
m-1151	60	26			PROPN
m-1151	60	27	2	2	NUM
m-1151	60	28	where	where	SCONJ
m-1151	60	29	=	=	NOUN
m-1151	60	30	density	density	NOUN
m-1151	60	31	,	,	PUNCT
m-1151	60	32	u	u	NOUN
m-1151	60	33	=	=	NOUN
m-1151	60	34	velocity	velocity	NOUN
m-1151	60	35	,	,	PUNCT
m-1151	60	36	p	p	NOUN
m-1151	60	37	=	=	NOUN
m-1151	60	38	pressure	pressure	NOUN
m-1151	60	39	,	,	PUNCT
m-1151	60	40	=	=	NOUN
m-1151	60	41	stress	stress	NOUN
m-1151	60	42	tensor	tensor	NOUN
m-1151	60	43	,	,	PUNCT
m-1151	60	44	f	f	PROPN
m-1151	60	45	=	=	PUNCT
m-1151	60	46	body	body	NOUN
m-1151	60	47	force	force	NOUN
m-1151	60	48	and	and	CCONJ
m-1151	60	49	=	=	NOUN
m-1151	60	50	material	material	NOUN
m-1151	60	51	derivative	derivative	ADJ
m-1151	60	52	d	d	PROPN
m-1151	60	53	dt	dt	NOUN
m-1151	60	54			ADP
m-1151	60	55			PROPN
m-1151	60	56	stress	stress	NOUN
m-1151	60	57	tensor	tensor	NOUN
m-1151	60	58	defining	define	VERB
m-1151	60	59	a	a	DET
m-1151	60	60	third	third	ADJ
m-1151	60	61	grade	grade	NOUN
m-1151	60	62	fluid	fluid	NOUN
m-1151	60	63	is	be	AUX
m-1151	60	64	given	give	VERB
m-1151	60	65	by	by	ADP
m-1151	60	66			NOUN
m-1151	60	67			PROPN
m-1151	60	68			NOUN
m-1151	60	69			NOUN
m-1151	60	70	3	3	NUM
m-1151	60	71	1	1	NUM
m-1151	60	72	1	1	NUM
m-1151	60	73	1	1	NUM
m-1151	60	74	2	2	NUM
m-1151	60	75	2	2	NUM
m-1151	60	76	1	1	NUM
m-1151	60	77	1	1	NUM
m-1151	60	78	2	2	NUM
m-1151	60	79	1	1	NUM
m-1151	60	80	2	2	NUM
m-1151	60	81	2	2	NUM
m-1151	60	82	1	1	NUM
m-1151	60	83	2	2	NUM
m-1151	60	84	2	2	NUM
m-1151	60	85	1	1	NUM
m-1151	60	86	1	1	NUM
m-1151	60	87	3	3	NUM
m-1151	60	88	where	where	SCONJ
m-1151	60	89	tr	tr	VERB
m-1151	60	90	i	i	PRON
m-1151	60	91	i	i	PRON
m-1151	60	92	a	a	PRON
m-1151	60	93	a	a	DET
m-1151	60	94	a	a	DET
m-1151	60	95	a	a	DET
m-1151	60	96	a	a	DET
m-1151	60	97	a	a	DET
m-1151	60	98			NOUN
m-1151	60	99			NOUN
m-1151	60	100			NOUN
m-1151	60	101			X
m-1151	60	102			PROPN
m-1151	60	103			PROPN
m-1151	60	104			PROPN
m-1151	60	105			PROPN
m-1151	60	106			NOUN
m-1151	60	107			PROPN
m-1151	60	108			PROPN
m-1151	60	109			PROPN
m-1151	60	110			PROPN
m-1151	60	111			PROPN
m-1151	60	112			PROPN
m-1151	60	113			PROPN
m-1151	60	114			PUNCT
m-1151	60	115			X
m-1151	60	116			PROPN
m-1151	60	117			PROPN
m-1151	60	118	4	4	NUM
m-1151	60	119			NOUN
m-1151	60	120	is	be	AUX
m-1151	60	121	the	the	DET
m-1151	60	122	coefficient	coefficient	NOUN
m-1151	60	123	of	of	ADP
m-1151	60	124	dynamic	dynamic	ADJ
m-1151	60	125	viscosity	viscosity	NOUN
m-1151	60	126	,	,	PUNCT
m-1151	60	127	1	1	NUM
m-1151	60	128	1	1	NUM
m-1151	60	129	1	1	NUM
m-1151	60	130	1	1	NUM
m-1151	60	131	,	,	PUNCT
m-1151	60	132	,	,	PUNCT
m-1151	60	133	,	,	PUNCT
m-1151	60	134			X
m-1151	60	135			X
m-1151	60	136			PROPN
m-1151	60	137			PROPN
m-1151	60	138	are	be	AUX
m-1151	60	139	constants	constant	NOUN
m-1151	60	140	.	.	PUNCT
m-1151	61	1	the	the	DET
m-1151	61	2	rivlin	rivlin	PROPN
m-1151	61	3	-	-	PUNCT
m-1151	61	4	ericksen	ericksen	ADJ
m-1151	61	5	tensors	tensor	NOUN
m-1151	61	6	na	na	PART
m-1151	61	7	are	be	AUX
m-1151	61	8	defined	define	VERB
m-1151	61	9	by	by	ADP
m-1151	61	10	0	0	NUM
m-1151	61	11	1a	1a	PROPN
m-1151	61	12			NOUN
m-1151	61	13	,	,	PUNCT
m-1151	61	14	being	be	AUX
m-1151	61	15	the	the	DET
m-1151	61	16	identity	identity	NOUN
m-1151	61	17	tensor	tensor	NOUN
m-1151	61	18	.	.	PUNCT
m-1151	62	1			NOUN
m-1151	63	1			PUNCT
m-1151	63	2			NOUN
m-1151	63	3			SYM
m-1151	63	4			NOUN
m-1151	63	5	1	1	VERB
m-1151	63	6	1	1	NUM
m-1151	63	7	1	1	NUM
m-1151	63	8	,	,	PUNCT
m-1151	63	9	1	1	NUM
m-1151	63	10	5	5	NUM
m-1151	63	11	tn	tn	NOUN
m-1151	63	12	n	n	ADP
m-1151	63	13	n	n	CCONJ
m-1151	63	14	n	n	ADV
m-1151	63	15	da	da	X
m-1151	63	16	a	a	DET
m-1151	63	17	a	a	DET
m-1151	63	18	u	u	NOUN
m-1151	63	19	u	u	NOUN
m-1151	63	20	a	a	DET
m-1151	63	21	n	n	ADJ
m-1151	63	22	dt	dt	ADP
m-1151	63	23			PROPN
m-1151	63	24			PROPN
m-1151	63	25			PROPN
m-1151	63	26			PUNCT
m-1151	63	27			PROPN
m-1151	63	28			PUNCT
m-1151	63	29			NOUN
m-1151	63	30			NUM
m-1151	63	31	assuming	assume	VERB
m-1151	63	32	the	the	DET
m-1151	63	33	surface	surface	NOUN
m-1151	63	34	tension	tension	NOUN
m-1151	63	35	to	to	PART
m-1151	63	36	be	be	AUX
m-1151	63	37	negligible	negligible	ADJ
m-1151	63	38	,	,	PUNCT
m-1151	63	39	we	we	PRON
m-1151	63	40	have	have	VERB
m-1151	63	41	the	the	DET
m-1151	63	42	velocity	velocity	NOUN
m-1151	63	43	field	field	NOUN
m-1151	63	44	in	in	ADP
m-1151	63	45	t	t	PROPN
m-1151	63	46	he	he	PRON
m-1151	63	47			VERB
m-1151	64	1			PROPN
m-1151	65	1			PUNCT
m-1151	65	2			PROPN
m-1151	65	3			PROPN
m-1151	65	4	,	,	PUNCT
m-1151	65	5	0,0	0,0	NUM
m-1151	65	6	6u	6u	NUM
m-1151	65	7	u	u	NOUN
m-1151	65	8	r	r	PART
m-1151	65	9	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	65	10	ijo	ijo	PROPN
m-1151	65	11	journals	journal	NOUN
m-1151	65	12	volume	volume	NOUN
m-1151	65	13	08	08	NUM
m-1151	66	1	|	|	ADV
m-1151	66	2	issue	issue	NOUN
m-1151	66	3	09	09	NUM
m-1151	66	4	|	|	ADV
m-1151	66	5	september	september	PROPN
m-1151	66	6	2025	2025	NUM
m-1151	67	1	|	|	ADV
m-1151	67	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	67	3	68	68	NUM
m-1151	67	4	ijo	ijo	PROPN
m-1151	67	5	international	international	ADJ
m-1151	67	6	journal	journal	PROPN
m-1151	67	7	of	of	ADP
m-1151	67	8	mathematics	mathematics	PROPN
m-1151	67	9	(	(	PUNCT
m-1151	67	10	issn	issn	PROPN
m-1151	67	11	:	:	PUNCT
m-1151	67	12	2992	2992	NUM
m-1151	67	13	-	-	SYM
m-1151	67	14	4421	4421	NUM
m-1151	67	15	)	)	PUNCT
m-1151	68	1	*	*	PUNCT
m-1151	68	2	1	1	NUM
m-1151	68	3	boniface	boniface	NOUN
m-1151	68	4	inalu	inalu	NOUN
m-1151	68	5	obi	obi	PROPN
m-1151	68	6	*	*	PUNCT
m-1151	68	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	68	8	volume	volume	NOUN
m-1151	68	9	08	08	NUM
m-1151	69	1	||	||	PROPN
m-1151	69	2	issue	issue	NOUN
m-1151	69	3	09	09	NUM
m-1151	69	4	||	||	NOUN
m-1151	69	5	september	september	PROPN
m-1151	69	6	,	,	PUNCT
m-1151	69	7	2025	2025	NUM
m-1151	69	8	||	||	PUNCT
m-1151	70	1	“	"	PUNCT
m-1151	70	2	numerical	numerical	ADJ
m-1151	70	3	computation	computation	NOUN
m-1151	70	4	of	of	ADP
m-1151	70	5	reactive	reactive	ADJ
m-1151	70	6	flow	flow	NOUN
m-1151	70	7	of	of	ADP
m-1151	70	8	third	third	ADJ
m-1151	70	9	grade	grade	NOUN
m-1151	70	10	fluid	fluid	NOUN
m-1151	70	11	with	with	ADP
m-1151	70	12	heat	heat	NOUN
m-1151	70	13	generation	generation	NOUN
m-1151	70	14	"	"	PUNCT
m-1151	70	15	substituting	substitute	VERB
m-1151	70	16	the	the	DET
m-1151	70	17	values	value	NOUN
m-1151	70	18	of	of	ADP
m-1151	70	19	.	.	PUNCT
m-1151	71	1	and	and	CCONJ
m-1151	71	2	v	v	PROPN
m-1151	71	3	in	in	ADP
m-1151	71	4	equation	equation	NOUN
m-1151	71	5	(	(	PUNCT
m-1151	71	6	2	2	NUM
m-1151	71	7	)	)	PUNCT
m-1151	71	8	,	,	PUNCT
m-1151	71	9	yields	yield	VERB
m-1151	71	10			PROPN
m-1151	71	11	2	2	NOUN
m-1151	71	12	0	0	NUM
m-1151	71	13	1	1	NUM
m-1151	71	14	7	7	NUM
m-1151	71	15	d	d	SYM
m-1151	71	16	du	du	NOUN
m-1151	71	17	dp	dp	NOUN
m-1151	71	18	r	r	NOUN
m-1151	71	19	u	u	PROPN
m-1151	71	20	b	b	PROPN
m-1151	71	21	u	u	NOUN
m-1151	71	22	r	r	PROPN
m-1151	71	23	dr	dr	PROPN
m-1151	71	24	dr	dr	PROPN
m-1151	71	25	k	k	PROPN
m-1151	71	26	dz	dz	PROPN
m-1151	71	27			NOUN
m-1151	71	28			NOUN
m-1151	71	29			PROPN
m-1151	71	30			NOUN
m-1151	71	31			NOUN
m-1151	71	32			VERB
m-1151	71	33			PROPN
m-1151	71	34			PUNCT
m-1151	71	35			PROPN
m-1151	72	1			PROPN
m-1151	72	2			PROPN
m-1151	72	3			NOUN
m-1151	72	4			PROPN
m-1151	72	5	2	2	NUM
m-1151	72	6	2	2	NUM
m-1151	72	7	0	0	NUM
m-1151	72	8	0	0	NUM
m-1151	72	9	1	1	NUM
m-1151	72	10	exp	exp	NOUN
m-1151	72	11	0	0	NUM
m-1151	72	12	8	8	NUM
m-1151	72	13	d	d	NOUN
m-1151	72	14	dt	dt	X
m-1151	72	15	du	du	PROPN
m-1151	72	16	e	e	PROPN
m-1151	72	17	r	r	PROPN
m-1151	72	18	b	b	PROPN
m-1151	72	19	u	u	X
m-1151	72	20	qc	qc	PROPN
m-1151	72	21	a	a	DET
m-1151	72	22	r	r	NOUN
m-1151	72	23	dr	dr	PROPN
m-1151	72	24	dr	dr	PROPN
m-1151	72	25	k	k	PROPN
m-1151	72	26	dr	dr	PROPN
m-1151	72	27	rt	rt	PROPN
m-1151	72	28			NOUN
m-1151	72	29			PROPN
m-1151	72	30			NOUN
m-1151	72	31			NOUN
m-1151	72	32			NOUN
m-1151	72	33			PROPN
m-1151	72	34			PROPN
m-1151	72	35			PROPN
m-1151	72	36			ADV
m-1151	72	37			PUNCT
m-1151	72	38			PUNCT
m-1151	72	39			X
m-1151	72	40			PUNCT
m-1151	72	41			PROPN
m-1151	73	1			PROPN
m-1151	74	1			INTJ
m-1151	75	1			PROPN
m-1151	75	2			PROPN
m-1151	76	1			ADJ
m-1151	76	2			PROPN
m-1151	76	3			PROPN
m-1151	76	4			NOUN
m-1151	76	5			PROPN
m-1151	76	6			NOUN
m-1151	76	7			NOUN
m-1151	76	8			SYM
m-1151	76	9			NOUN
m-1151	76	10			SYM
m-1151	76	11			NOUN
m-1151	76	12			SYM
m-1151	76	13			NOUN
m-1151	76	14			SYM
m-1151	76	15			NOUN
m-1151	76	16	00	00	PUNCT
m-1151	77	1	0	0	NUM
m-1151	77	2	0	0	NUM
m-1151	77	3	,	,	PUNCT
m-1151	77	4	0	0	NUM
m-1151	77	5	,	,	PUNCT
m-1151	77	6	9	9	NUM
m-1151	77	7	du	du	NOUN
m-1151	77	8	dt	dt	PROPN
m-1151	77	9	u	u	PROPN
m-1151	77	10	a	a	PROPN
m-1151	77	11	t	t	NOUN
m-1151	77	12	a	a	DET
m-1151	77	13	t	t	PROPN
m-1151	77	14	dr	dr	PROPN
m-1151	77	15	dr	dr	PROPN
m-1151	77	16			PROPN
m-1151	77	17			PROPN
m-1151	78	1			PRON
m-1151	78	2			ADJ
m-1151	78	3	where	where	SCONJ
m-1151	78	4	u	u	NOUN
m-1151	78	5	is	be	AUX
m-1151	78	6	fluid	fluid	ADJ
m-1151	78	7	velocity	velocity	NOUN
m-1151	78	8	,	,	PUNCT
m-1151	78	9	t	t	PROPN
m-1151	78	10	is	be	AUX
m-1151	78	11	absolute	absolute	ADJ
m-1151	78	12	temperature	temperature	NOUN
m-1151	78	13	,	,	PUNCT
m-1151	78	14			NOUN
m-1151	78	15	is	be	AUX
m-1151	78	16	dynamic	dynamic	ADJ
m-1151	78	17	viscosity	viscosity	NOUN
m-1151	78	18	,	,	PUNCT
m-1151	78	19			PROPN
m-1151	78	20	ius	ius	PROPN
m-1151	78	21	electricalconductivity	electricalconductivity	NOUN
m-1151	78	22	,	,	PUNCT
m-1151	78	23	0	0	NUM
m-1151	78	24	t	t	PROPN
m-1151	78	25	is	be	AUX
m-1151	78	26	reference	reference	NOUN
m-1151	78	27	temperature	temperature	NOUN
m-1151	78	28	,	,	PUNCT
m-1151	78	29	a	a	PRON
m-1151	78	30	is	be	AUX
m-1151	78	31	radius	radius	NOUN
m-1151	78	32	of	of	ADP
m-1151	78	33	the	the	DET
m-1151	78	34	pipe	pipe	NOUN
m-1151	78	35	,	,	PUNCT
m-1151	78	36	r	r	NOUN
m-1151	78	37	is	be	AUX
m-1151	78	38	radial	radial	ADJ
m-1151	78	39	distance	distance	NOUN
m-1151	78	40	,	,	PUNCT
m-1151	78	41	e	e	X
m-1151	78	42	is	be	AUX
m-1151	78	43	the	the	DET
m-1151	78	44	activation	activation	NOUN
m-1151	78	45	energy	energy	NOUN
m-1151	78	46	,	,	PUNCT
m-1151	78	47	r	r	NOUN
m-1151	78	48	is	be	AUX
m-1151	78	49	the	the	DET
m-1151	78	50	universal	universal	ADJ
m-1151	78	51	gas	gas	NOUN
m-1151	78	52	constant	constant	ADJ
m-1151	78	53	,	,	PUNCT
m-1151	78	54	0c	0c	PROPN
m-1151	78	55	is	be	AUX
m-1151	78	56	concentration	concentration	NOUN
m-1151	78	57	,	,	PUNCT
m-1151	78	58	q	q	PUNCT
m-1151	78	59	is	be	AUX
m-1151	78	60	heat	heat	NOUN
m-1151	78	61	activationand	activationand	ADP
m-1151	78	62	a	a	PRON
m-1151	78	63	is	be	AUX
m-1151	78	64	the	the	DET
m-1151	78	65	rate	rate	NOUN
m-1151	78	66	constant	constant	ADJ
m-1151	78	67	.	.	PUNCT
m-1151	79	1	introducing	introduce	VERB
m-1151	79	2	the	the	DET
m-1151	79	3	following	follow	VERB
m-1151	79	4	dimensionless	dimensionless	NOUN
m-1151	79	5	parameters	parameter	NOUN
m-1151	79	6	:	:	PUNCT
m-1151	79	7			NOUN
m-1151	79	8			SYM
m-1151	79	9			NOUN
m-1151	79	10			NUM
m-1151	79	11	02	02	NUM
m-1151	79	12	0	0	NUM
m-1151	79	13	0	0	NUM
m-1151	79	14	0	0	NUM
m-1151	79	15	0	0	NUM
m-1151	79	16	2	2	NUM
m-1151	79	17	0	0	NUM
m-1151	79	18	0	0	NUM
m-1151	79	19	,	,	PUNCT
m-1151	79	20	,	,	PUNCT
m-1151	79	21	,	,	PUNCT
m-1151	79	22	,	,	PUNCT
m-1151	79	23	10	10	NUM
m-1151	79	24	e	e	NOUN
m-1151	79	25	rtrt	rtrt	PROPN
m-1151	79	26	ea	ea	PROPN
m-1151	79	27	qc	qc	PROPN
m-1151	79	28	ae	ae	PROPN
m-1151	79	29	r	r	PROPN
m-1151	79	30	ar	ar	PROPN
m-1151	79	31	u	u	PROPN
m-1151	79	32	u	u	NOUN
m-1151	79	33	u	u	NOUN
m-1151	79	34	t	t	NOUN
m-1151	79	35	t	t	X
m-1151	79	36	rt	rt	PROPN
m-1151	79	37	e	e	PROPN
m-1151	79	38	rt	rt	PROPN
m-1151	79	39	k	k	PROPN
m-1151	79	40			PROPN
m-1151	79	41			PROPN
m-1151	79	42			PROPN
m-1151	79	43			PROPN
m-1151	79	44			NUM
m-1151	79	45			PROPN
m-1151	79	46			PROPN
m-1151	79	47			X
m-1151	79	48			PROPN
m-1151	79	49			ADV
m-1151	79	50	using	use	VERB
m-1151	79	51	eqn	eqn	NOUN
m-1151	79	52	(	(	PUNCT
m-1151	79	53	10	10	NUM
m-1151	79	54	)	)	PUNCT
m-1151	79	55	in	in	ADP
m-1151	79	56	eqns	eqns	PROPN
m-1151	79	57	(	(	PUNCT
m-1151	79	58	7	7	NUM
m-1151	79	59	-	-	SYM
m-1151	79	60	9	9	NUM
m-1151	79	61	)	)	PUNCT
m-1151	79	62	,	,	PUNCT
m-1151	79	63	yields	yield	VERB
m-1151	79	64			NOUN
m-1151	79	65			PUNCT
m-1151	79	66	1	1	NUM
m-1151	79	67	1	1	NUM
m-1151	79	68	11	11	NUM
m-1151	79	69	d	d	NOUN
m-1151	79	70	du	du	PROPN
m-1151	79	71	r	r	NOUN
m-1151	79	72	u	u	NOUN
m-1151	79	73	mu	mu	PROPN
m-1151	79	74	r	r	PROPN
m-1151	79	75	dr	dr	PROPN
m-1151	79	76	dr	dr	PROPN
m-1151	79	77			PROPN
m-1151	79	78			NOUN
m-1151	79	79			PROPN
m-1151	79	80			PUNCT
m-1151	79	81			PROPN
m-1151	79	82			PROPN
m-1151	79	83			PROPN
m-1151	79	84			PROPN
m-1151	79	85			ADJ
m-1151	79	86			PROPN
m-1151	79	87			NOUN
m-1151	79	88	1	1	ADJ
m-1151	79	89	2	2	NUM
m-1151	79	90	21	21	NUM
m-1151	79	91	0	0	NUM
m-1151	79	92	12r	12r	NUM
m-1151	79	93	d	d	X
m-1151	79	94	d	d	X
m-1151	79	95	du	du	PROPN
m-1151	79	96	r	r	NOUN
m-1151	79	97	b	b	PROPN
m-1151	79	98	mu	mu	NOUN
m-1151	79	99	e	e	PROPN
m-1151	79	100	r	r	PROPN
m-1151	79	101	dr	dr	PROPN
m-1151	79	102	dr	dr	PROPN
m-1151	79	103	dr	dr	PROPN
m-1151	79	104			PROPN
m-1151	79	105			PROPN
m-1151	79	106			PROPN
m-1151	79	107			PROPN
m-1151	79	108			PROPN
m-1151	79	109			VERB
m-1151	79	110			PROPN
m-1151	79	111			NOUN
m-1151	79	112			PROPN
m-1151	79	113			ADV
m-1151	79	114			VERB
m-1151	79	115			X
m-1151	79	116			PUNCT
m-1151	80	1			PROPN
m-1151	80	2			PROPN
m-1151	80	3			PROPN
m-1151	81	1			ADJ
m-1151	81	2			PROPN
m-1151	81	3			PROPN
m-1151	81	4			NOUN
m-1151	81	5			NOUN
m-1151	82	1			SYM
m-1151	82	2			NOUN
m-1151	82	3			SYM
m-1151	82	4			NOUN
m-1151	82	5			SYM
m-1151	82	6			NOUN
m-1151	82	7			SYM
m-1151	82	8			NOUN
m-1151	82	9	0	0	NOUN
m-1151	82	10	0	0	NUM
m-1151	82	11	0	0	NUM
m-1151	82	12	,	,	PUNCT
m-1151	82	13	1	1	NUM
m-1151	82	14	0	0	NUM
m-1151	82	15	,	,	PUNCT
m-1151	82	16	0	0	NUM
m-1151	82	17	0	0	NUM
m-1151	82	18	13	13	NUM
m-1151	82	19	du	du	PROPN
m-1151	82	20	d	d	PROPN
m-1151	82	21	u	u	PROPN
m-1151	82	22	dr	dr	PROPN
m-1151	82	23	dr	dr	PROPN
m-1151	82	24			PROPN
m-1151	82	25			PROPN
m-1151	83	1			PROPN
m-1151	84	1			NUM
m-1151	84	2			NUM
m-1151	85	1	3	3	NUM
m-1151	85	2	.	.	NOUN
m-1151	85	3	method	method	NOUN
m-1151	85	4	of	of	ADP
m-1151	85	5	solution	solution	NOUN
m-1151	85	6	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	85	7	ijo	ijo	PROPN
m-1151	85	8	journals	journal	NOUN
m-1151	85	9	volume	volume	NOUN
m-1151	85	10	08	08	NUM
m-1151	86	1	|	|	ADV
m-1151	86	2	issue	issue	NOUN
m-1151	86	3	09	09	NUM
m-1151	86	4	|	|	ADV
m-1151	86	5	september	september	PROPN
m-1151	86	6	2025	2025	NUM
m-1151	87	1	|	|	ADV
m-1151	87	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	87	3	69	69	NUM
m-1151	87	4	ijo	ijo	PROPN
m-1151	87	5	international	international	PROPN
m-1151	87	6	journal	journal	PROPN
m-1151	87	7	of	of	ADP
m-1151	87	8	mathematics	mathematics	PROPN
m-1151	87	9	(	(	PUNCT
m-1151	87	10	issn	issn	PROPN
m-1151	87	11	:	:	PUNCT
m-1151	87	12	2992	2992	NUM
m-1151	87	13	-	-	SYM
m-1151	87	14	4421	4421	NUM
m-1151	87	15	)	)	PUNCT
m-1151	88	1	*	*	PUNCT
m-1151	88	2	1	1	NUM
m-1151	88	3	boniface	boniface	NOUN
m-1151	88	4	inalu	inalu	NOUN
m-1151	88	5	obi	obi	PROPN
m-1151	88	6	*	*	PUNCT
m-1151	88	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	88	8	volume	volume	NOUN
m-1151	88	9	08	08	NUM
m-1151	89	1	||	||	PROPN
m-1151	89	2	issue	issue	NOUN
m-1151	89	3	09	09	NUM
m-1151	89	4	||	||	NOUN
m-1151	89	5	september	september	PROPN
m-1151	89	6	,	,	PUNCT
m-1151	89	7	2025	2025	NUM
m-1151	89	8	||	||	PUNCT
m-1151	90	1	“	"	PUNCT
m-1151	90	2	numerical	numerical	ADJ
m-1151	90	3	computation	computation	NOUN
m-1151	90	4	of	of	ADP
m-1151	90	5	reactive	reactive	ADJ
m-1151	90	6	flow	flow	NOUN
m-1151	90	7	of	of	ADP
m-1151	90	8	third	third	ADJ
m-1151	90	9	grade	grade	NOUN
m-1151	90	10	fluid	fluid	NOUN
m-1151	90	11	with	with	ADP
m-1151	90	12	heat	heat	NOUN
m-1151	90	13	generation	generation	NOUN
m-1151	90	14	"	"	PUNCT
m-1151	90	15	in	in	ADP
m-1151	90	16	order	order	NOUN
m-1151	90	17	to	to	PART
m-1151	90	18	solve	solve	VERB
m-1151	90	19	the	the	DET
m-1151	90	20	nonlinear	nonlinear	ADJ
m-1151	90	21	momentum	momentum	NOUN
m-1151	90	22	and	and	CCONJ
m-1151	90	23	energy	energy	NOUN
m-1151	90	24	equation	equation	NOUN
m-1151	90	25	of	of	ADP
m-1151	90	26	(	(	PUNCT
m-1151	90	27	11	11	NUM
m-1151	90	28	)	)	PUNCT
m-1151	90	29	and	and	CCONJ
m-1151	90	30	(	(	PUNCT
m-1151	90	31	12	12	NUM
m-1151	90	32	)	)	PUNCT
m-1151	90	33	with	with	ADP
m-1151	90	34	the	the	DET
m-1151	90	35	condition	condition	NOUN
m-1151	90	36	(	(	PUNCT
m-1151	90	37	13	13	NUM
m-1151	90	38	)	)	PUNCT
m-1151	90	39	,	,	PUNCT
m-1151	90	40	we	we	PRON
m-1151	90	41	employ	employ	VERB
m-1151	90	42	collocation	collocation	NOUN
m-1151	90	43	method	method	NOUN
m-1151	90	44	for	for	ADP
m-1151	90	45	the	the	DET
m-1151	90	46	solution	solution	NOUN
m-1151	90	47	.	.	PUNCT
m-1151	91	1	this	this	DET
m-1151	91	2	technique	technique	NOUN
m-1151	91	3	is	be	AUX
m-1151	91	4	a	a	DET
m-1151	91	5	function	function	NOUN
m-1151	91	6	approximation	approximation	NOUN
m-1151	91	7	method	method	NOUN
m-1151	91	8	which	which	PRON
m-1151	91	9	reduces	reduce	VERB
m-1151	91	10	the	the	DET
m-1151	91	11	nonlinear	nonlinear	ADJ
m-1151	91	12	ordinary	ordinary	ADJ
m-1151	91	13	differential	differential	ADJ
m-1151	91	14	equations	equation	NOUN
m-1151	91	15	to	to	ADP
m-1151	91	16	algebraic	algebraic	ADJ
m-1151	91	17	equations	equation	NOUN
m-1151	91	18	which	which	PRON
m-1151	91	19	can	can	AUX
m-1151	91	20	be	be	AUX
m-1151	91	21	solved	solve	VERB
m-1151	91	22	byany	byany	NOUN
m-1151	91	23	iterative	iterative	NOUN
m-1151	91	24	fixed	fix	VERB
m-1151	91	25	point	point	NOUN
m-1151	91	26	technique	technique	NOUN
m-1151	91	27	.	.	PUNCT
m-1151	92	1	the	the	DET
m-1151	92	2	approximate	approximate	ADJ
m-1151	92	3	solution	solution	NOUN
m-1151	92	4	is	be	AUX
m-1151	92	5	of	of	ADP
m-1151	92	6	the	the	DET
m-1151	92	7	form	form	NOUN
m-1151	92	8			NOUN
m-1151	92	9			SYM
m-1151	92	10			NOUN
m-1151	92	11			SYM
m-1151	92	12			NOUN
m-1151	93	1			PROPN
m-1151	93	2	0	0	NUM
m-1151	93	3	14	14	NUM
m-1151	93	4	n	n	NUM
m-1151	93	5	j	j	PROPN
m-1151	94	1	j	j	PROPN
m-1151	94	2	j	j	PROPN
m-1151	94	3	u	u	PROPN
m-1151	94	4	r	r	VERB
m-1151	94	5	a	a	DET
m-1151	94	6	r	r	NOUN
m-1151	94	7			NUM
m-1151	94	8			PROPN
m-1151	94	9	equation	equation	NOUN
m-1151	94	10	(	(	PUNCT
m-1151	94	11	14	14	NUM
m-1151	94	12	)	)	PUNCT
m-1151	94	13	is	be	AUX
m-1151	94	14	the	the	DET
m-1151	94	15	trial	trial	NOUN
m-1151	94	16	function	function	NOUN
m-1151	94	17	over	over	ADP
m-1151	94	18	the	the	DET
m-1151	94	19	region	region	NOUN
m-1151	94	20	which	which	PRON
m-1151	94	21	must	must	AUX
m-1151	94	22	satisfy	satisfy	VERB
m-1151	94	23	the	the	DET
m-1151	94	24	given	give	VERB
m-1151	94	25	boundary	boundary	ADJ
m-1151	94	26	conditions	condition	NOUN
m-1151	94	27	.	.	PUNCT
m-1151	95	1	in	in	ADP
m-1151	95	2	this	this	DET
m-1151	95	3	technique	technique	NOUN
m-1151	95	4	,	,	PUNCT
m-1151	95	5	the	the	DET
m-1151	95	6	one	one	NUM
m-1151	95	7	,	,	PUNCT
m-1151	95	8	two	two	NUM
m-1151	95	9	and	and	CCONJ
m-1151	95	10	three	three	NUM
m-1151	95	11	term	term	NOUN
m-1151	95	12	coefficients	coefficient	NOUN
m-1151	95	13	are	be	AUX
m-1151	95	14	employed	employ	VERB
m-1151	95	15	and	and	CCONJ
m-1151	95	16	the	the	DET
m-1151	95	17	maximum	maximum	ADJ
m-1151	95	18	velocity	velocity	NOUN
m-1151	95	19	and	and	CCONJ
m-1151	95	20	temperature	temperature	NOUN
m-1151	95	21	ascertained	ascertain	VERB
m-1151	95	22	.	.	PUNCT
m-1151	96	1			NOUN
m-1151	96	2			PUNCT
m-1151	96	3			NOUN
m-1151	96	4			SYM
m-1151	96	5			NOUN
m-1151	96	6	3	3	ADJ
m-1151	96	7	3	3	NUM
m-1151	96	8	2	2	NUM
m-1151	96	9	3	3	NUM
m-1151	96	10	0	0	NUM
m-1151	96	11	0	0	NUM
m-1151	96	12	1	1	NUM
m-1151	96	13	0	0	NUM
m-1151	96	14	1(1	1(1	NUM
m-1151	96	15	)	)	PUNCT
m-1151	96	16	,	,	PUNCT
m-1151	96	17	(	(	PUNCT
m-1151	96	18	1	1	X
m-1151	96	19	)	)	PUNCT
m-1151	96	20	(	(	PUNCT
m-1151	96	21	)	)	PUNCT
m-1151	96	22	15u	15u	NOUN
m-1151	96	23	r	r	NOUN
m-1151	96	24	a	a	DET
m-1151	96	25	r	r	NOUN
m-1151	96	26	u	u	NOUN
m-1151	96	27	r	r	NOUN
m-1151	96	28	a	a	DET
m-1151	96	29	r	r	NOUN
m-1151	96	30	a	a	DET
m-1151	96	31	r	r	NOUN
m-1151	96	32	r	r	NOUN
m-1151	96	33			PROPN
m-1151	96	34			PROPN
m-1151	96	35			PROPN
m-1151	96	36			VERB
m-1151	96	37			NOUN
m-1151	96	38	similarly	similarly	ADV
m-1151	96	39	,	,	PUNCT
m-1151	96	40			PROPN
m-1151	96	41			SYM
m-1151	96	42			NOUN
m-1151	96	43			SYM
m-1151	96	44			NOUN
m-1151	96	45	3	3	ADJ
m-1151	96	46	3	3	NUM
m-1151	96	47	2	2	NUM
m-1151	96	48	3	3	NUM
m-1151	96	49	0	0	NUM
m-1151	96	50	2	2	NUM
m-1151	96	51	1	1	NUM
m-1151	96	52	2	2	NUM
m-1151	96	53	3(1	3(1	NUM
m-1151	96	54	)	)	PUNCT
m-1151	96	55	,	,	PUNCT
m-1151	96	56	(	(	PUNCT
m-1151	96	57	1	1	X
m-1151	96	58	)	)	PUNCT
m-1151	96	59	(	(	PUNCT
m-1151	96	60	)	)	PUNCT
m-1151	96	61	16r	16r	X
m-1151	97	1	a	a	DET
m-1151	97	2	r	r	NOUN
m-1151	97	3	r	r	NOUN
m-1151	97	4	a	a	DET
m-1151	97	5	r	r	NOUN
m-1151	97	6	a	a	DET
m-1151	97	7	r	r	NOUN
m-1151	97	8	r	r	PROPN
m-1151	97	9			PROPN
m-1151	97	10			PROPN
m-1151	97	11			PROPN
m-1151	97	12			PROPN
m-1151	97	13			VERB
m-1151	97	14			NOUN
m-1151	97	15			NOUN
m-1151	97	16			PROPN
m-1151	97	17	max	max	PROPN
m-1151	97	18	max	max	PROPN
m-1151	97	19	max	max	PROPN
m-1151	97	20	1	1	NUM
m-1151	97	21	0.000875	0.000875	NUM
m-1151	97	22	0.875	0.875	NUM
m-1151	97	23	4.500000000	4.500000000	NUM
m-1151	97	24	0.05321635176	0.05321635176	NUM
m-1151	97	25	17	17	NUM
m-1151	97	26	e	e	NOUN
m-1151	97	27			X
m-1151	97	28			PROPN
m-1151	97	29			PROPN
m-1151	97	30			PROPN
m-1151	97	31			PROPN
m-1151	97	32			PROPN
m-1151	97	33			PROPN
m-1151	97	34			ADV
m-1151	97	35			PROPN
m-1151	97	36	0	0	PROPN
m-1151	97	37	0.2222222222	0.2222222222	NUM
m-1151	97	38	18a	18a	NOUN
m-1151	97	39			PRON
m-1151	97	40	the	the	DET
m-1151	97	41	thermalcritical	thermalcritical	ADJ
m-1151	97	42	property	property	NOUN
m-1151	97	43	is	be	AUX
m-1151	97	44	determined	determine	VERB
m-1151	97	45	bythe	bythe	ADP
m-1151	97	46	relationship	relationship	NOUN
m-1151	97	47	between	between	ADP
m-1151	97	48	maximum	maximum	ADJ
m-1151	97	49	temperature	temperature	NOUN
m-1151	97	50	and	and	CCONJ
m-1151	97	51	the	the	DET
m-1151	97	52	frank	frank	PROPN
m-1151	97	53	-	-	PUNCT
m-1151	97	54	kamenetskii	kamenetskii	PROPN
m-1151	97	55	variable	variable	NOUN
m-1151	97	56	and	and	CCONJ
m-1151	97	57	achieved	achieve	VERB
m-1151	97	58	from	from	ADP
m-1151	97	59	equations	equation	NOUN
m-1151	97	60	(	(	PUNCT
m-1151	97	61	17)and	17)and	NUM
m-1151	97	62	(	(	PUNCT
m-1151	97	63	18	18	NUM
m-1151	97	64	)	)	PUNCT
m-1151	97	65	with	with	ADP
m-1151	97	66	other	other	ADJ
m-1151	97	67	thermo	thermo	NOUN
m-1151	97	68	-	-	PUNCT
m-1151	97	69	solutal	solutal	ADJ
m-1151	97	70	parameters	parameter	NOUN
m-1151	97	71	.	.	PUNCT
m-1151	98	1	plotting	plot	VERB
m-1151	98	2	equation	equation	NOUN
m-1151	98	3	(	(	PUNCT
m-1151	98	4	17	17	NUM
m-1151	98	5	)	)	PUNCT
m-1151	98	6	results	result	NOUN
m-1151	98	7	in	in	ADP
m-1151	98	8	figure	figure	NOUN
m-1151	98	9	5	5	NUM
m-1151	98	10	.	.	PUNCT
m-1151	99	1	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	99	2	ijo	ijo	PROPN
m-1151	99	3	journals	journal	NOUN
m-1151	99	4	volume	volume	NOUN
m-1151	99	5	08	08	NUM
m-1151	100	1	|	|	ADV
m-1151	100	2	issue	issue	NOUN
m-1151	100	3	09	09	NUM
m-1151	100	4	|	|	ADV
m-1151	100	5	september	september	PROPN
m-1151	100	6	2025	2025	NUM
m-1151	100	7	|	|	ADV
m-1151	100	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	PROPN
m-1151	100	9	70	70	NUM
m-1151	100	10	ijo	ijo	PROPN
m-1151	100	11	international	international	ADJ
m-1151	100	12	journal	journal	PROPN
m-1151	100	13	of	of	ADP
m-1151	100	14	mathematics	mathematics	PROPN
m-1151	100	15	(	(	PUNCT
m-1151	100	16	issn	issn	PROPN
m-1151	100	17	:	:	PUNCT
m-1151	100	18	2992	2992	NUM
m-1151	100	19	-	-	SYM
m-1151	100	20	4421	4421	NUM
m-1151	100	21	)	)	PUNCT
m-1151	101	1	*	*	PUNCT
m-1151	101	2	1	1	NUM
m-1151	101	3	boniface	boniface	NOUN
m-1151	101	4	inalu	inalu	NOUN
m-1151	101	5	obi	obi	PROPN
m-1151	101	6	*	*	PUNCT
m-1151	101	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	101	8	volume	volume	NOUN
m-1151	101	9	08	08	NUM
m-1151	102	1	||	||	PROPN
m-1151	102	2	issue	issue	NOUN
m-1151	102	3	09	09	NUM
m-1151	102	4	||	||	NOUN
m-1151	102	5	september	september	PROPN
m-1151	102	6	,	,	PUNCT
m-1151	102	7	2025	2025	NUM
m-1151	102	8	||	||	PUNCT
m-1151	103	1	“	"	PUNCT
m-1151	103	2	numerical	numerical	ADJ
m-1151	103	3	computation	computation	NOUN
m-1151	103	4	of	of	ADP
m-1151	103	5	reactive	reactive	ADJ
m-1151	103	6	flow	flow	NOUN
m-1151	103	7	of	of	ADP
m-1151	103	8	third	third	ADJ
m-1151	103	9	grade	grade	NOUN
m-1151	103	10	fluid	fluid	NOUN
m-1151	103	11	with	with	ADP
m-1151	103	12	heat	heat	NOUN
m-1151	103	13	generation	generation	NOUN
m-1151	103	14	"	"	PUNCT
m-1151	103	15	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	103	16	ijo	ijo	PROPN
m-1151	103	17	journals	journal	NOUN
m-1151	103	18	volume	volume	NOUN
m-1151	103	19	08	08	NUM
m-1151	104	1	|	|	ADV
m-1151	104	2	issue	issue	NOUN
m-1151	104	3	09	09	NUM
m-1151	104	4	|	|	ADV
m-1151	104	5	september	september	PROPN
m-1151	104	6	2025	2025	NUM
m-1151	105	1	|	|	ADV
m-1151	105	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	105	3	71	71	NUM
m-1151	105	4	ijo	ijo	PROPN
m-1151	105	5	international	international	ADJ
m-1151	105	6	journal	journal	PROPN
m-1151	105	7	of	of	ADP
m-1151	105	8	mathematics	mathematics	PROPN
m-1151	105	9	(	(	PUNCT
m-1151	105	10	issn	issn	PROPN
m-1151	105	11	:	:	PUNCT
m-1151	105	12	2992	2992	NUM
m-1151	105	13	-	-	SYM
m-1151	105	14	4421	4421	NUM
m-1151	105	15	)	)	PUNCT
m-1151	106	1	*	*	PUNCT
m-1151	106	2	1	1	NUM
m-1151	106	3	boniface	boniface	NOUN
m-1151	106	4	inalu	inalu	NOUN
m-1151	106	5	obi	obi	PROPN
m-1151	106	6	*	*	PUNCT
m-1151	106	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	106	8	volume	volume	NOUN
m-1151	106	9	08	08	NUM
m-1151	107	1	||	||	PROPN
m-1151	107	2	issue	issue	NOUN
m-1151	107	3	09	09	NUM
m-1151	107	4	||	||	NOUN
m-1151	107	5	september	september	PROPN
m-1151	107	6	,	,	PUNCT
m-1151	107	7	2025	2025	NUM
m-1151	107	8	||	||	PUNCT
m-1151	108	1	“	"	PUNCT
m-1151	108	2	numerical	numerical	ADJ
m-1151	108	3	computation	computation	NOUN
m-1151	108	4	of	of	ADP
m-1151	108	5	reactive	reactive	ADJ
m-1151	108	6	flow	flow	NOUN
m-1151	108	7	of	of	ADP
m-1151	108	8	third	third	ADJ
m-1151	108	9	grade	grade	NOUN
m-1151	108	10	fluid	fluid	NOUN
m-1151	108	11	with	with	ADP
m-1151	108	12	heat	heat	NOUN
m-1151	108	13	generation	generation	NOUN
m-1151	108	14	"	"	PUNCT
m-1151	108	15	4	4	NUM
m-1151	108	16	.	.	NOUN
m-1151	108	17	results	result	NOUN
m-1151	108	18	and	and	CCONJ
m-1151	108	19	discussions	discussion	NOUN
m-1151	108	20	in	in	ADP
m-1151	108	21	this	this	DET
m-1151	108	22	section	section	NOUN
m-1151	108	23	,	,	PUNCT
m-1151	108	24	the	the	DET
m-1151	108	25	impacts	impact	NOUN
m-1151	108	26	of	of	ADP
m-1151	108	27	some	some	DET
m-1151	108	28	variables	variable	NOUN
m-1151	108	29	that	that	PRON
m-1151	108	30	are	be	AUX
m-1151	108	31	of	of	ADP
m-1151	108	32	great	great	ADJ
m-1151	108	33	importance	importance	NOUN
m-1151	108	34	to	to	ADP
m-1151	108	35	the	the	DET
m-1151	108	36	study	study	NOUN
m-1151	108	37	are	be	AUX
m-1151	108	38	discussed	discuss	VERB
m-1151	108	39	.	.	PUNCT
m-1151	109	1	these	these	DET
m-1151	109	2	effects	effect	NOUN
m-1151	109	3	come	come	VERB
m-1151	109	4	from	from	ADP
m-1151	109	5	the	the	DET
m-1151	109	6	graphs	graph	NOUN
m-1151	109	7	presented	present	VERB
m-1151	109	8	in	in	ADP
m-1151	109	9	earlier	early	ADJ
m-1151	109	10	section	section	NOUN
m-1151	109	11	.	.	PUNCT
m-1151	110	1	in	in	ADP
m-1151	110	2	figures	figure	NOUN
m-1151	110	3	1	1	NUM
m-1151	110	4	and	and	CCONJ
m-1151	110	5	2	2	NUM
m-1151	110	6	,	,	PUNCT
m-1151	110	7	the	the	DET
m-1151	110	8	influence	influence	NOUN
m-1151	110	9	of	of	ADP
m-1151	110	10	non	non	ADJ
m-1151	110	11	-	-	ADJ
m-1151	110	12	newtonian	newtonian	ADJ
m-1151	110	13	and	and	CCONJ
m-1151	110	14	magnetic	magnetic	ADJ
m-1151	110	15	field	field	NOUN
m-1151	110	16	variables	variable	NOUN
m-1151	110	17	are	be	AUX
m-1151	110	18	respectively	respectively	ADV
m-1151	110	19	shown	show	VERB
m-1151	110	20	.	.	PUNCT
m-1151	111	1	it	it	PRON
m-1151	111	2	is	be	AUX
m-1151	111	3	seen	see	VERB
m-1151	111	4	from	from	ADP
m-1151	111	5	the	the	DET
m-1151	111	6	results	result	NOUN
m-1151	111	7	that	that	PRON
m-1151	111	8	increase	increase	VERB
m-1151	111	9	in	in	ADP
m-1151	111	10	both	both	DET
m-1151	111	11	parameters	parameter	NOUN
m-1151	111	12	enhance	enhance	VERB
m-1151	111	13	the	the	DET
m-1151	111	14	flow	flow	NOUN
m-1151	111	15	velocity	velocity	NOUN
m-1151	111	16	.	.	PUNCT
m-1151	112	1	figure	figure	NOUN
m-1151	112	2	3	3	NUM
m-1151	112	3	shows	show	VERB
m-1151	112	4	the	the	DET
m-1151	112	5	temperature	temperature	NOUN
m-1151	112	6	profiles	profile	NOUN
m-1151	112	7	for	for	ADP
m-1151	112	8	values	value	NOUN
m-1151	112	9	of	of	ADP
m-1151	112	10	the	the	DET
m-1151	112	11	non	non	ADJ
m-1151	112	12	-	-	ADJ
m-1151	112	13	newtonian	newtonian	ADJ
m-1151	112	14	variable	variable	NOUN
m-1151	112	15	.	.	PUNCT
m-1151	113	1	result	result	NOUN
m-1151	113	2	shows	show	VERB
m-1151	113	3	that	that	SCONJ
m-1151	113	4	increase	increase	NOUN
m-1151	113	5	in	in	ADP
m-1151	113	6	the	the	DET
m-1151	113	7	parameter	parameter	NOUN
m-1151	113	8	,	,	PUNCT
m-1151	113	9	decreases	decrease	VERB
m-1151	113	10	the	the	DET
m-1151	113	11	temperature	temperature	NOUN
m-1151	113	12	of	of	ADP
m-1151	113	13	the	the	DET
m-1151	113	14	cylindrical	cylindrical	ADJ
m-1151	113	15	pipe	pipe	NOUN
m-1151	113	16	at	at	ADP
m-1151	113	17	the	the	DET
m-1151	113	18	walls	wall	NOUN
m-1151	113	19	.	.	PUNCT
m-1151	114	1	figure	figure	NOUN
m-1151	114	2	4	4	NUM
m-1151	114	3	is	be	AUX
m-1151	114	4	the	the	DET
m-1151	114	5	temperature	temperature	NOUN
m-1151	114	6	profiles	profile	NOUN
m-1151	114	7	for	for	ADP
m-1151	114	8	various	various	ADJ
m-1151	114	9	values	value	NOUN
m-1151	114	10	of	of	ADP
m-1151	114	11	the	the	DET
m-1151	114	12	magnetic	magnetic	ADJ
m-1151	114	13	field	field	NOUN
m-1151	114	14	parameter	parameter	NOUN
m-1151	114	15	.	.	PUNCT
m-1151	115	1	results	result	NOUN
m-1151	115	2	indicate	indicate	VERB
m-1151	115	3	that	that	DET
m-1151	115	4	increase	increase	NOUN
m-1151	115	5	in	in	ADP
m-1151	115	6	the	the	DET
m-1151	115	7	magnetic	magnetic	ADJ
m-1151	115	8	field	field	NOUN
m-1151	115	9	parameter	parameter	NOUN
m-1151	115	10	increases	increase	VERB
m-1151	115	11	the	the	DET
m-1151	115	12	temperature	temperature	NOUN
m-1151	115	13	of	of	ADP
m-1151	115	14	the	the	DET
m-1151	115	15	system	system	NOUN
m-1151	115	16	.	.	PUNCT
m-1151	116	1	this	this	PRON
m-1151	116	2	is	be	AUX
m-1151	116	3	because	because	SCONJ
m-1151	116	4	magnetic	magnetic	ADJ
m-1151	116	5	field	field	NOUN
m-1151	116	6	can	can	AUX
m-1151	116	7	generate	generate	VERB
m-1151	116	8	heat	heat	NOUN
m-1151	116	9	through	through	ADP
m-1151	116	10	electrical	electrical	ADJ
m-1151	116	11	resistance	resistance	NOUN
m-1151	116	12	,	,	PUNCT
m-1151	116	13	thereby	thereby	ADV
m-1151	116	14	leads	lead	VERB
m-1151	116	15	to	to	ADP
m-1151	116	16	a	a	DET
m-1151	116	17	rise	rise	NOUN
m-1151	116	18	in	in	ADP
m-1151	116	19	temperature	temperature	NOUN
m-1151	116	20	.	.	PUNCT
m-1151	117	1	figure	figure	NOUN
m-1151	117	2	5	5	NUM
m-1151	117	3	shows	show	VERB
m-1151	117	4	the	the	DET
m-1151	117	5	critical	critical	ADJ
m-1151	117	6	value	value	NOUN
m-1151	117	7	of	of	ADP
m-1151	117	8	the	the	DET
m-1151	117	9	frank	frank	PROPN
m-1151	117	10	-	-	PUNCT
m-1151	117	11	kamenetskii	kamenetskii	PROPN
m-1151	117	12	parameter	parameter	NOUN
m-1151	117	13	1.8879565c	1.8879565c	X
m-1151	118	1			NOUN
m-1151	118	2	.	.	PUNCT
m-1151	119	1	5	5	X
m-1151	119	2	.	.	X
m-1151	119	3	conclusion	conclusion	NOUN
m-1151	119	4	computation	computation	NOUN
m-1151	119	5	of	of	ADP
m-1151	119	6	reactive	reactive	ADJ
m-1151	119	7	flow	flow	NOUN
m-1151	119	8	of	of	ADP
m-1151	119	9	third	third	ADJ
m-1151	119	10	grade	grade	NOUN
m-1151	119	11	fluid	fluid	NOUN
m-1151	119	12	in	in	ADP
m-1151	119	13	cylindrical	cylindrical	ADJ
m-1151	119	14	pipe	pipe	NOUN
m-1151	119	15	with	with	ADP
m-1151	119	16	heat	heat	NOUN
m-1151	119	17	generation	generation	NOUN
m-1151	119	18	is	be	AUX
m-1151	119	19	considered	consider	VERB
m-1151	119	20	.	.	PUNCT
m-1151	120	1	the	the	DET
m-1151	120	2	resulting	result	VERB
m-1151	120	3	governing	govern	VERB
m-1151	120	4	equations	equation	NOUN
m-1151	120	5	of	of	ADP
m-1151	120	6	motion	motion	NOUN
m-1151	120	7	are	be	AUX
m-1151	120	8	highly	highly	ADV
m-1151	120	9	nonlinear	nonlinear	ADJ
m-1151	120	10	and	and	CCONJ
m-1151	120	11	are	be	AUX
m-1151	120	12	solved	solve	VERB
m-1151	120	13	using	use	VERB
m-1151	120	14	collocation	collocation	NOUN
m-1151	120	15	method	method	NOUN
m-1151	120	16	in	in	ADP
m-1151	120	17	verifying	verify	VERB
m-1151	120	18	the	the	DET
m-1151	120	19	impacts	impact	NOUN
m-1151	120	20	of	of	ADP
m-1151	120	21	some	some	DET
m-1151	120	22	material	material	NOUN
m-1151	120	23	variables	variable	NOUN
m-1151	120	24	involved	involve	VERB
m-1151	120	25	.	.	PUNCT
m-1151	121	1	results	result	NOUN
m-1151	121	2	indicate	indicate	VERB
m-1151	121	3	that	that	DET
m-1151	121	4	increase	increase	NOUN
m-1151	121	5	in	in	ADP
m-1151	121	6	the	the	DET
m-1151	121	7	non	non	ADJ
m-1151	121	8	-	-	ADJ
m-1151	121	9	newtonian	newtonian	ADJ
m-1151	121	10	variable	variable	NOUN
m-1151	121	11	increases	increase	VERB
m-1151	121	12	the	the	DET
m-1151	121	13	flow	flow	NOUN
m-1151	121	14	velocity	velocity	NOUN
m-1151	121	15	and	and	CCONJ
m-1151	121	16	decreases	decrease	VERB
m-1151	121	17	the	the	DET
m-1151	121	18	temperature	temperature	NOUN
m-1151	121	19	of	of	ADP
m-1151	121	20	walls	wall	NOUN
m-1151	121	21	of	of	ADP
m-1151	121	22	the	the	DET
m-1151	121	23	cylindrical	cylindrical	ADJ
m-1151	121	24	pipe	pipe	NOUN
m-1151	121	25	.	.	PUNCT
m-1151	122	1	it	it	PRON
m-1151	122	2	is	be	AUX
m-1151	122	3	observed	observe	VERB
m-1151	122	4	that	that	SCONJ
m-1151	122	5	the	the	DET
m-1151	122	6	critical	critical	ADJ
m-1151	122	7	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	122	8	ijo	ijo	PROPN
m-1151	122	9	journals	journal	NOUN
m-1151	122	10	volume	volume	NOUN
m-1151	122	11	08	08	NUM
m-1151	123	1	|	|	ADV
m-1151	123	2	issue	issue	NOUN
m-1151	123	3	09	09	NUM
m-1151	123	4	|	|	ADV
m-1151	123	5	september	september	PROPN
m-1151	123	6	2025	2025	NUM
m-1151	123	7	|	|	ADV
m-1151	123	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	123	9	72	72	NUM
m-1151	123	10	ijo	ijo	PROPN
m-1151	123	11	international	international	ADJ
m-1151	123	12	journal	journal	PROPN
m-1151	123	13	of	of	ADP
m-1151	123	14	mathematics	mathematics	PROPN
m-1151	123	15	(	(	PUNCT
m-1151	123	16	issn	issn	PROPN
m-1151	123	17	:	:	PUNCT
m-1151	123	18	2992	2992	NUM
m-1151	123	19	-	-	SYM
m-1151	123	20	4421	4421	NUM
m-1151	123	21	)	)	PUNCT
m-1151	124	1	*	*	PUNCT
m-1151	124	2	1	1	NUM
m-1151	124	3	boniface	boniface	NOUN
m-1151	124	4	inalu	inalu	NOUN
m-1151	124	5	obi	obi	PROPN
m-1151	124	6	*	*	PUNCT
m-1151	124	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	124	8	volume	volume	NOUN
m-1151	124	9	08	08	NUM
m-1151	125	1	||	||	PROPN
m-1151	125	2	issue	issue	NOUN
m-1151	125	3	09	09	NUM
m-1151	125	4	||	||	NOUN
m-1151	125	5	september	september	PROPN
m-1151	125	6	,	,	PUNCT
m-1151	125	7	2025	2025	NUM
m-1151	125	8	||	||	PUNCT
m-1151	126	1	“	"	PUNCT
m-1151	126	2	numerical	numerical	ADJ
m-1151	126	3	computation	computation	NOUN
m-1151	126	4	of	of	ADP
m-1151	126	5	reactive	reactive	ADJ
m-1151	126	6	flow	flow	NOUN
m-1151	126	7	of	of	ADP
m-1151	126	8	third	third	ADJ
m-1151	126	9	grade	grade	NOUN
m-1151	126	10	fluid	fluid	NOUN
m-1151	126	11	with	with	ADP
m-1151	126	12	heat	heat	NOUN
m-1151	126	13	generation	generation	NOUN
m-1151	126	14	"	"	PUNCT
m-1151	126	15	frank	frank	PROPN
m-1151	126	16	-	-	PUNCT
m-1151	126	17	kamenetskii	kamenetskii	PROPN
m-1151	126	18	variable	variable	NOUN
m-1151	126	19	exist	exist	VERB
m-1151	126	20	for	for	ADP
m-1151	126	21	which	which	PRON
m-1151	126	22	the	the	DET
m-1151	126	23	solution	solution	NOUN
m-1151	126	24	fails	fail	VERB
m-1151	126	25	to	to	PART
m-1151	126	26	be	be	AUX
m-1151	126	27	distinct	distinct	ADJ
m-1151	126	28	.	.	PUNCT
m-1151	127	1	it	it	PRON
m-1151	127	2	is	be	AUX
m-1151	127	3	further	far	ADV
m-1151	127	4	observed	observe	VERB
m-1151	127	5	that	that	SCONJ
m-1151	127	6	for	for	ADP
m-1151	127	7	c	c	X
m-1151	127	8			X
m-1151	127	9	,	,	PUNCT
m-1151	127	10	a	a	DET
m-1151	127	11	steady	steady	ADJ
m-1151	127	12	state	state	NOUN
m-1151	127	13	solution	solution	NOUN
m-1151	127	14	does	do	AUX
m-1151	127	15	not	not	PART
m-1151	127	16	exist	exist	VERB
m-1151	127	17	suggesting	suggest	VERB
m-1151	127	18	a	a	DET
m-1151	127	19	thermal	thermal	ADJ
m-1151	127	20	runaway	runaway	NOUN
m-1151	127	21	which	which	PRON
m-1151	127	22	could	could	AUX
m-1151	127	23	be	be	AUX
m-1151	127	24	avoided	avoid	VERB
m-1151	127	25	by	by	ADP
m-1151	127	26	setting	set	VERB
m-1151	127	27	1.8879565	1.8879565	NUM
m-1151	127	28			NUM
m-1151	127	29	.	.	PUNCT
m-1151	128	1	declarations	declaration	NOUN
m-1151	128	2	1	1	NUM
m-1151	128	3	.	.	X
m-1151	129	1	funding	funding	NOUN
m-1151	129	2	:	:	PUNCT
m-1151	129	3	not	not	PART
m-1151	129	4	applicable	applicable	ADJ
m-1151	129	5	2	2	NUM
m-1151	129	6	.	.	PUNCT
m-1151	129	7	informed	informed	ADJ
m-1151	129	8	consent	consent	NOUN
m-1151	129	9	statement	statement	NOUN
m-1151	129	10	:	:	PUNCT
m-1151	129	11	not	not	PART
m-1151	129	12	applicable	applicable	ADJ
m-1151	129	13	3	3	NUM
m-1151	129	14	.	.	PUNCT
m-1151	129	15	data	datum	NOUN
m-1151	129	16	availability	availability	NOUN
m-1151	129	17	:	:	PUNCT
m-1151	129	18	not	not	PART
m-1151	129	19	applicable	applicable	ADJ
m-1151	129	20	4	4	NUM
m-1151	129	21	.	.	PUNCT
m-1151	130	1	conflict	conflict	NOUN
m-1151	130	2	of	of	ADP
m-1151	130	3	interest	interest	NOUN
m-1151	130	4	statement	statement	NOUN
m-1151	130	5	:	:	PUNCT
m-1151	130	6	no	no	DET
m-1151	130	7	conflict	conflict	NOUN
m-1151	130	8	of	of	ADP
m-1151	130	9	interest	interest	NOUN
m-1151	130	10	6	6	NUM
m-1151	130	11	.	.	PUNCT
m-1151	131	1	references	reference	NOUN
m-1151	131	2	[	[	X
m-1151	131	3	1	1	NUM
m-1151	131	4	]	]	X
m-1151	131	5	ellahi	ellahi	PROPN
m-1151	131	6	r.	r.	PROPN
m-1151	131	7	,	,	PUNCT
m-1151	131	8	hayat	hayat	PROPN
m-1151	131	9	t.	t.	PROPN
m-1151	131	10	,	,	PUNCT
m-1151	131	11	mahomed	mahome	VERB
m-1151	131	12	f.m	f.m	PROPN
m-1151	131	13	.	.	PROPN
m-1151	131	14	and	and	CCONJ
m-1151	131	15	asghar	asghar	PROPN
m-1151	131	16	s.	s.	PROPN
m-1151	131	17	effects	effect	NOUN
m-1151	131	18	of	of	ADP
m-1151	131	19	slip	slip	NOUN
m-1151	131	20	on	on	ADP
m-1151	131	21	the	the	DET
m-1151	131	22	non	non	ADJ
m-1151	131	23	-	-	ADJ
m-1151	131	24	linear	linear	ADJ
m-1151	131	25	flow	flow	NOUN
m-1151	131	26	of	of	ADP
m-1151	131	27	a	a	DET
m-1151	131	28	third	third	ADJ
m-1151	131	29	grade	grade	NOUN
m-1151	131	30	fluid	fluid	NOUN
m-1151	131	31	.	.	PUNCT
m-1151	132	1	nonlinear	nonlinear	ADJ
m-1151	132	2	analysis	analysis	NOUN
m-1151	132	3	:	:	PUNCT
m-1151	132	4	real	real	ADJ
m-1151	132	5	world	world	NOUN
m-1151	132	6	applications	application	NOUN
m-1151	132	7	11(2010),139	11(2010),139	NUM
m-1151	132	8	-	-	SYM
m-1151	132	9	146	146	NUM
m-1151	132	10	.	.	PUNCT
m-1151	133	1	[	[	X
m-1151	133	2	2	2	X
m-1151	133	3	]	]	X
m-1151	133	4	farayola	farayola	PROPN
m-1151	133	5	p.i	p.i	PROPN
m-1151	133	6	.	.	PROPN
m-1151	134	1	on	on	ADP
m-1151	134	2	steady	steady	ADJ
m-1151	134	3	flow	flow	NOUN
m-1151	134	4	of	of	ADP
m-1151	134	5	a	a	DET
m-1151	134	6	reactive	reactive	ADJ
m-1151	134	7	viscous	viscous	ADJ
m-1151	134	8	fluid	fluid	NOUN
m-1151	134	9	in	in	ADP
m-1151	134	10	a	a	DET
m-1151	134	11	porous	porous	ADJ
m-1151	134	12	cylindrical	cylindrical	ADJ
m-1151	134	13	pipe	pipe	NOUN
m-1151	134	14	.	.	PUNCT
m-1151	135	1	open	open	ADJ
m-1151	135	2	journal	journal	PROPN
m-1151	135	3	of	of	ADP
m-1151	135	4	fluid	fluid	ADJ
m-1151	135	5	dynamics	dynamic	NOUN
m-1151	135	6	7(2017),359	7(2017),359	NUM
m-1151	135	7	-	-	SYM
m-1151	135	8	370	370	NUM
m-1151	136	1	[	[	X
m-1151	136	2	3	3	X
m-1151	136	3	]	]	PUNCT
m-1151	136	4	fosdick	fosdick	PROPN
m-1151	136	5	r.l	r.l	PROPN
m-1151	136	6	.	.	PROPN
m-1151	136	7	and	and	CCONJ
m-1151	136	8	rajagopal	rajagopal	PROPN
m-1151	136	9	,	,	PUNCT
m-1151	136	10	k.r	k.r	PROPN
m-1151	136	11	.	.	PROPN
m-1151	136	12	thermodynamics	thermodynamic	NOUN
m-1151	136	13	and	and	CCONJ
m-1151	136	14	stability	stability	NOUN
m-1151	136	15	of	of	ADP
m-1151	136	16	fluids	fluid	NOUN
m-1151	136	17	ofthird	ofthird	PROPN
m-1151	136	18	grade	grade	NOUN
m-1151	136	19	.	.	PUNCT
m-1151	137	1	proc	proc	PROPN
m-1151	137	2	.	.	PUNCT
m-1151	138	1	r.	r.	PROPN
m-1151	138	2	soc	soc	PROPN
m-1151	138	3	.	.	PUNCT
m-1151	139	1	lond	lond	PROPN
m-1151	139	2	.	.	PUNCT
m-1151	140	1	339(1980	339(1980	NUM
m-1151	140	2	)	)	PUNCT
m-1151	140	3	,	,	PUNCT
m-1151	140	4	351	351	NUM
m-1151	140	5	-	-	SYM
m-1151	140	6	377	377	NUM
m-1151	140	7	.	.	PUNCT
m-1151	141	1	[	[	X
m-1151	141	2	4	4	X
m-1151	141	3	]	]	X
m-1151	141	4	makinde	makinde	NOUN
m-1151	141	5	o.d	o.d	PROPN
m-1151	141	6	.	.	PROPN
m-1151	141	7	on	on	ADP
m-1151	141	8	steady	steady	ADJ
m-1151	141	9	flow	flow	NOUN
m-1151	141	10	of	of	ADP
m-1151	141	11	a	a	DET
m-1151	141	12	reactive	reactive	ADJ
m-1151	141	13	variable	variable	ADJ
m-1151	141	14	viscosity	viscosity	NOUN
m-1151	141	15	fluid	fluid	NOUN
m-1151	141	16	in	in	ADP
m-1151	141	17	a	a	DET
m-1151	141	18	cylindrical	cylindrical	ADJ
m-1151	141	19	pipe	pipe	NOUN
m-1151	141	20	with	with	ADP
m-1151	141	21	an	an	DET
m-1151	141	22	isothermal	isothermal	ADJ
m-1151	141	23	wall	wall	NOUN
m-1151	141	24	.	.	PUNCT
m-1151	142	1	international	international	ADJ
m-1151	142	2	journal	journal	PROPN
m-1151	142	3	of	of	ADP
m-1151	142	4	numerical	numerical	ADJ
m-1151	142	5	methods	method	NOUN
m-1151	142	6	for	for	ADP
m-1151	142	7	heat	heat	NOUN
m-1151	142	8	and	and	CCONJ
m-1151	142	9	fluid	fluid	ADJ
m-1151	142	10	flow	flow	NOUN
m-1151	142	11	,	,	PUNCT
m-1151	142	12	17(2007).187	17(2007).187	NUM
m-1151	142	13	-	-	SYM
m-1151	142	14	194	194	NUM
m-1151	142	15	.	.	PUNCT
m-1151	143	1	[	[	X
m-1151	143	2	5	5	X
m-1151	143	3	]	]	PUNCT
m-1151	143	4	makinde	makinde	PROPN
m-1151	143	5	o.d	o.d	PROPN
m-1151	143	6	.	.	PROPN
m-1151	143	7	thermal	thermal	ADJ
m-1151	143	8	criticality	criticality	NOUN
m-1151	143	9	for	for	ADP
m-1151	143	10	a	a	DET
m-1151	143	11	reactive	reactive	ADJ
m-1151	143	12	gravity	gravity	NOUN
m-1151	143	13	driven	drive	VERB
m-1151	143	14	thin	thin	ADJ
m-1151	143	15	film	film	NOUN
m-1151	143	16	flow	flow	NOUN
m-1151	143	17	of	of	ADP
m-1151	143	18	a	a	DET
m-1151	143	19	third	third	ADJ
m-1151	143	20	grade	grade	NOUN
m-1151	143	21	fluid	fluid	NOUN
m-1151	143	22	with	with	ADP
m-1151	143	23	adiabatic	adiabatic	ADJ
m-1151	143	24	free	free	ADJ
m-1151	143	25	surface	surface	NOUN
m-1151	143	26	down	down	ADP
m-1151	143	27	an	an	DET
m-1151	143	28	inclined	inclined	ADJ
m-1151	143	29	plane.applied	plane.applie	VERB
m-1151	143	30	mathematics	mathematic	NOUN
m-1151	143	31	and	and	CCONJ
m-1151	143	32	mechanics	mechanic	NOUN
m-1151	143	33	,	,	PUNCT
m-1151	143	34	30(2009	30(2009	NUM
m-1151	143	35	)	)	PUNCT
m-1151	143	36	,	,	PUNCT
m-1151	143	37	373	373	NUM
m-1151	143	38	-	-	SYM
m-1151	143	39	380	380	NUM
m-1151	143	40	.	.	PUNCT
m-1151	144	1	[	[	X
m-1151	144	2	6	6	NUM
m-1151	144	3	]	]	PUNCT
m-1151	144	4	massoudi	massoudi	NOUN
m-1151	144	5	,	,	PUNCT
m-1151	144	6	m.	m.	NOUN
m-1151	144	7	and	and	CCONJ
m-1151	144	8	christie	christie	NOUN
m-1151	144	9	,	,	PUNCT
m-1151	144	10	i.	i.	NOUN
m-1151	144	11	effects	effect	NOUN
m-1151	144	12	of	of	ADP
m-1151	144	13	variable	variable	ADJ
m-1151	144	14	viscosity	viscosity	NOUN
m-1151	144	15	and	and	CCONJ
m-1151	144	16	viscous	viscous	ADJ
m-1151	144	17	dissipation	dissipation	NOUN
m-1151	144	18	on	on	ADP
m-1151	144	19	theflow	theflow	NOUN
m-1151	144	20	of	of	ADP
m-1151	144	21	a	a	DET
m-1151	144	22	third	third	ADJ
m-1151	144	23	–	–	PUNCT
m-1151	144	24	grade	grade	NOUN
m-1151	144	25	fluid	fluid	NOUN
m-1151	144	26	in	in	ADP
m-1151	144	27	a	a	DET
m-1151	144	28	pipe	pipe	NOUN
m-1151	144	29	.	.	PUNCT
m-1151	145	1	int	int	NOUN
m-1151	145	2	.	.	PUNCT
m-1151	146	1	j.	j.	PROPN
m-1151	146	2	of	of	ADP
m-1151	146	3	nonlinear	nonlinear	PROPN
m-1151	146	4	mech	mech	PROPN
m-1151	146	5	.	.	PUNCT
m-1151	146	6	,	,	PUNCT
m-1151	146	7	30(5)(1995	30(5)(1995	NUM
m-1151	146	8	)	)	PUNCT
m-1151	146	9	687	687	NUM
m-1151	146	10	-	-	SYM
m-1151	146	11	699	699	NUM
m-1151	146	12	.	.	PUNCT
m-1151	147	1	[	[	X
m-1151	147	2	7	7	X
m-1151	147	3	]	]	X
m-1151	147	4	obi	obi	PROPN
m-1151	147	5	b.i	b.i	PROPN
m-1151	147	6	.	.	PROPN
m-1151	147	7	,okedayo	,okedayo	PROPN
m-1151	147	8	,	,	PUNCT
m-1151	147	9	g.t	g.t	PROPN
m-1151	147	10	.	.	PROPN
m-1151	147	11	,	,	PUNCT
m-1151	147	12	jiya	jiya	PROPN
m-1151	147	13	,	,	PUNCT
m-1151	147	14	m.	m.	NOUN
m-1151	147	15	and	and	CCONJ
m-1151	147	16	aiyesimi	aiyesimi	PROPN
m-1151	147	17	,	,	PUNCT
m-1151	147	18	y.m	y.m	PROPN
m-1151	147	19	.	.	PROPN
m-1151	147	20	analysis	analysis	NOUN
m-1151	147	21	of	of	ADP
m-1151	147	22	flow	flow	NOUN
m-1151	147	23	of	of	ADP
m-1151	147	24	an	an	DET
m-1151	147	25	incompressiblemhd	incompressiblemhd	ADJ
m-1151	147	26	third	third	ADJ
m-1151	147	27	grade	grade	NOUN
m-1151	147	28	fluid	fluid	NOUN
m-1151	147	29	in	in	ADP
m-1151	147	30	an	an	DET
m-1151	147	31	inclined	inclined	ADJ
m-1151	147	32	rotating	rotate	VERB
m-1151	147	33	cylindrical	cylindrical	ADJ
m-1151	147	34	pipe	pipe	NOUN
m-1151	147	35	with	with	ADP
m-1151	147	36	isothermal	isothermal	ADJ
m-1151	147	37	wall	wall	NOUN
m-1151	147	38	and	and	CCONJ
m-1151	147	39	joule	joule	PROPN
m-1151	147	40	heating	heating	NOUN
m-1151	147	41	.	.	PUNCT
m-1151	148	1	international	international	ADJ
m-1151	148	2	journal	journal	NOUN
m-1151	148	3	for	for	ADP
m-1151	148	4	research	research	NOUN
m-1151	148	5	in	in	ADP
m-1151	148	6	mathematics	mathematic	NOUN
m-1151	148	7	and	and	CCONJ
m-1151	148	8	statistics	statistic	NOUN
m-1151	148	9	.	.	PUNCT
m-1151	149	1	(	(	PUNCT
m-1151	149	2	2021	2021	NUM
m-1151	149	3	)	)	PUNCT
m-1151	149	4	;	;	PUNCT
m-1151	149	5	7	7	NUM
m-1151	149	6	(	(	PUNCT
m-1151	149	7	6	6	NUM
m-1151	149	8	)	)	PUNCT
m-1151	149	9	.	.	PUNCT
m-1151	150	1	[	[	X
m-1151	150	2	8	8	NUM
m-1151	150	3	]	]	PUNCT
m-1151	150	4	okedayo	okedayo	PROPN
m-1151	150	5	g.t	g.t	PROPN
m-1151	150	6	.	.	PROPN
m-1151	150	7	,	,	PUNCT
m-1151	150	8	amumeji	amumeji	PROPN
m-1151	150	9	o.t	o.t	PROPN
m-1151	150	10	.	.	PROPN
m-1151	151	1	and	and	CCONJ
m-1151	151	2	obi	obi	PROPN
m-1151	151	3	b.i	b.i	PROPN
m-1151	151	4	.	.	PROPN
m-1151	151	5	galerkin	galerkin	PROPN
m-1151	151	6	weighted	weight	VERB
m-1151	151	7	residual	residual	ADJ
m-1151	151	8	method	method	NOUN
m-1151	151	9	for	for	ADP
m-1151	151	10	magnetohydrodynamic	magnetohydrodynamic	ADJ
m-1151	151	11	(	(	PUNCT
m-1151	151	12	mhd	mhd	NOUN
m-1151	151	13	)	)	PUNCT
m-1151	151	14	mixed	mixed	ADJ
m-1151	151	15	convectionflow	convectionflow	NOUN
m-1151	151	16	in	in	ADP
m-1151	151	17	a	a	DET
m-1151	151	18	vertical	vertical	ADJ
m-1151	151	19	channel	channel	NOUN
m-1151	151	20	filled	fill	VERB
m-1151	151	21	with	with	ADP
m-1151	151	22	porous	porous	ADJ
m-1151	151	23	media	medium	NOUN
m-1151	151	24	.	.	PUNCT
m-1151	152	1	international	international	ADJ
m-1151	152	2	journal	journal	NOUN
m-1151	152	3	for	for	ADP
m-1151	152	4	research	research	NOUN
m-1151	152	5	in	in	ADP
m-1151	152	6	mathematics	mathematic	NOUN
m-1151	152	7	and	and	CCONJ
m-1151	152	8	statistics	statistic	NOUN
m-1151	152	9	,	,	PUNCT
m-1151	152	10	4(5	4(5	PROPN
m-1151	152	11	)	)	PUNCT
m-1151	152	12	,	,	PUNCT
m-1151	152	13	(	(	PUNCT
m-1151	152	14	2018	2018	NUM
m-1151	152	15	)	)	PUNCT
m-1151	153	1	[	[	X
m-1151	153	2	9	9	NUM
m-1151	153	3	]	]	PUNCT
m-1151	153	4	okedayo	okedayo	NOUN
m-1151	153	5	,	,	PUNCT
m-1151	153	6	g.t	g.t	PROPN
m-1151	153	7	.	.	PROPN
m-1151	153	8	,	,	PUNCT
m-1151	153	9	obi	obi	PROPN
m-1151	153	10	,	,	PUNCT
m-1151	153	11	b.i	b.i	PROPN
m-1151	153	12	.	.	PROPN
m-1151	153	13	&	&	CCONJ
m-1151	153	14	olawuyi	olawuyi	PROPN
m-1151	153	15	,	,	PUNCT
m-1151	153	16	o.m	o.m	PROPN
m-1151	153	17	.	.	PUNCT
m-1151	154	1	a	a	DET
m-1151	154	2	numerical	numerical	ADJ
m-1151	154	3	study	study	NOUN
m-1151	154	4	of	of	ADP
m-1151	154	5	reactive	reactive	ADJ
m-1151	154	6	mhd	mhd	NOUN
m-1151	154	7	flow	flow	NOUN
m-1151	154	8	of	of	ADP
m-1151	154	9	thirdgrade	thirdgrade	NOUN
m-1151	154	10	fluid	fluid	NOUN
m-1151	154	11	.	.	PUNCT
m-1151	155	1	journal	journal	PROPN
m-1151	155	2	of	of	ADP
m-1151	155	3	mathematical	mathematical	ADJ
m-1151	155	4	science	science	NOUN
m-1151	155	5	and	and	CCONJ
m-1151	155	6	computational	computational	ADJ
m-1151	155	7	mathematics	mathematic	NOUN
m-1151	155	8	(	(	PUNCT
m-1151	155	9	jmscm	jmscm	PROPN
m-1151	155	10	)	)	PUNCT
m-1151	155	11	,	,	PUNCT
m-1151	155	12	1(1	1(1	NUM
m-1151	155	13	)	)	PUNCT
m-1151	155	14	,	,	PUNCT
m-1151	155	15	(	(	PUNCT
m-1151	155	16	2019	2019	NUM
m-1151	155	17	)	)	PUNCT
m-1151	155	18	.	.	PUNCT
m-1151	156	1	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	156	2	ijo	ijo	PROPN
m-1151	156	3	journals	journal	NOUN
m-1151	156	4	volume	volume	NOUN
m-1151	156	5	08	08	NUM
m-1151	157	1	|	|	ADV
m-1151	157	2	issue	issue	NOUN
m-1151	157	3	09	09	NUM
m-1151	157	4	|	|	ADV
m-1151	157	5	september	september	PROPN
m-1151	157	6	2025	2025	NUM
m-1151	158	1	|	|	ADV
m-1151	158	2	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	158	3	73	73	NUM
m-1151	158	4	ijo	ijo	PROPN
m-1151	158	5	international	international	ADJ
m-1151	158	6	journal	journal	PROPN
m-1151	158	7	of	of	ADP
m-1151	158	8	mathematics	mathematics	PROPN
m-1151	158	9	(	(	PUNCT
m-1151	158	10	issn	issn	PROPN
m-1151	158	11	:	:	PUNCT
m-1151	158	12	2992	2992	NUM
m-1151	158	13	-	-	SYM
m-1151	158	14	4421	4421	NUM
m-1151	158	15	)	)	PUNCT
m-1151	159	1	*	*	PUNCT
m-1151	159	2	1	1	NUM
m-1151	159	3	boniface	boniface	NOUN
m-1151	159	4	inalu	inalu	NOUN
m-1151	159	5	obi	obi	PROPN
m-1151	159	6	*	*	PUNCT
m-1151	159	7	https://ijojournals.com/	https://ijojournals.com/	PROPN
m-1151	159	8	volume	volume	NOUN
m-1151	159	9	08	08	NUM
m-1151	160	1	||	||	PROPN
m-1151	160	2	issue	issue	NOUN
m-1151	160	3	09	09	NUM
m-1151	160	4	||	||	NOUN
m-1151	160	5	september	september	PROPN
m-1151	160	6	,	,	PUNCT
m-1151	160	7	2025	2025	NUM
m-1151	160	8	||	||	PUNCT
m-1151	161	1	“	"	PUNCT
m-1151	161	2	numerical	numerical	ADJ
m-1151	161	3	computation	computation	NOUN
m-1151	161	4	of	of	ADP
m-1151	161	5	reactive	reactive	ADJ
m-1151	161	6	flow	flow	NOUN
m-1151	161	7	of	of	ADP
m-1151	161	8	third	third	ADJ
m-1151	161	9	grade	grade	NOUN
m-1151	161	10	fluid	fluid	NOUN
m-1151	161	11	with	with	ADP
m-1151	161	12	heat	heat	NOUN
m-1151	161	13	generation	generation	NOUN
m-1151	161	14	"	"	PUNCT
m-1151	162	1	[	[	X
m-1151	162	2	10]rajagopal	10]rajagopal	NUM
m-1151	162	3	k.r	k.r	PROPN
m-1151	162	4	.	.	PROPN
m-1151	163	1	on	on	ADP
m-1151	163	2	the	the	DET
m-1151	163	3	stability	stability	NOUN
m-1151	163	4	of	of	ADP
m-1151	163	5	third	third	ADJ
m-1151	163	6	grade	grade	NOUN
m-1151	163	7	fluids	fluid	NOUN
m-1151	163	8	.	.	PUNCT
m-1151	164	1	arch	arch	NOUN
m-1151	164	2	.	.	PUNCT
m-1151	165	1	mech	mech	PROPN
m-1151	165	2	.	.	PUNCT
m-1151	166	1	32(1980	32(1980	NUM
m-1151	166	2	)	)	PUNCT
m-1151	166	3	867	867	NUM
m-1151	166	4	-	-	SYM
m-1151	166	5	875	875	NUM
m-1151	166	6	.	.	PUNCT
m-1151	167	1	[	[	X
m-1151	167	2	11	11	NUM
m-1151	167	3	]	]	PUNCT
m-1151	167	4	salawul	salawul	PROPN
m-1151	167	5	s.o	s.o	PROPN
m-1151	167	6	.	.	PROPN
m-1151	167	7	and	and	CCONJ
m-1151	167	8	fatunmbi	fatunmbi	PROPN
m-1151	167	9	e.o	e.o	PROPN
m-1151	167	10	.	.	PROPN
m-1151	167	11	inherent	inherent	ADJ
m-1151	167	12	irreversibility	irreversibility	NOUN
m-1151	167	13	of	of	ADP
m-1151	167	14	hydromagnetic	hydromagnetic	ADJ
m-1151	167	15	third	third	ADJ
m-1151	167	16	grade	grade	NOUN
m-1151	167	17	reactivepoiseuille	reactivepoiseuille	NOUN
m-1151	167	18	flow	flow	NOUN
m-1151	167	19	of	of	ADP
m-1151	167	20	a	a	DET
m-1151	167	21	variable	variable	ADJ
m-1151	167	22	viscosity	viscosity	NOUN
m-1151	167	23	in	in	ADP
m-1151	167	24	porous	porous	ADJ
m-1151	167	25	media	medium	NOUN
m-1151	167	26	with	with	ADP
m-1151	167	27	convective	convective	ADJ
m-1151	167	28	cooling	cooling	NOUN
m-1151	167	29	.	.	PUNCT
m-1151	168	1	journal	journal	NOUN
m-1151	168	2	of	of	ADP
m-1151	168	3	the	the	DET
m-1151	168	4	serbian	serbian	ADJ
m-1151	168	5	society	society	NOUN
m-1151	168	6	for	for	ADP
m-1151	168	7	computational	computational	ADJ
m-1151	168	8	mechanics	mechanic	NOUN
m-1151	168	9	11(1)(2017	11(1)(2017	NUM
m-1151	168	10	)	)	PUNCT
m-1151	168	11	,	,	PUNCT
m-1151	168	12	46	46	NUM
m-1151	168	13	-	-	SYM
m-1151	168	14	58	58	NUM
m-1151	168	15	.	.	PUNCT
m-1151	169	1	[	[	X
m-1151	169	2	12	12	NUM
m-1151	169	3	]	]	X
m-1151	169	4	siddiqui	siddiqui	NOUN
m-1151	169	5	a.m.	a.m.	PROPN
m-1151	169	6	,	,	PUNCT
m-1151	169	7	mahmood	mahmood	PROPN
m-1151	169	8	r	r	PROPN
m-1151	169	9	,	,	PUNCT
m-1151	169	10	and	and	CCONJ
m-1151	169	11	ghori	ghori	PROPN
m-1151	169	12	q.k	q.k	PROPN
m-1151	169	13	.	.	PROPN
m-1151	169	14	homotopy	homotopy	PROPN
m-1151	169	15	perturbation	perturbation	NOUN
m-1151	169	16	method	method	NOUN
m-1151	169	17	for	for	ADP
m-1151	169	18	thin	thin	ADJ
m-1151	169	19	film	film	NOUN
m-1151	169	20	flow	flow	NOUN
m-1151	169	21	of	of	ADP
m-1151	169	22	a	a	DET
m-1151	169	23	third	third	ADJ
m-1151	169	24	grade	grade	NOUN
m-1151	169	25	fluid	fluid	NOUN
m-1151	169	26	down	down	ADP
m-1151	169	27	an	an	DET
m-1151	169	28	inclined	inclined	ADJ
m-1151	169	29	plane	plane	NOUN
m-1151	169	30	.	.	PUNCT
m-1151	170	1	chaos	chaos	NOUN
m-1151	170	2	,	,	PUNCT
m-1151	170	3	soliton	soliton	NOUN
m-1151	170	4	and	and	CCONJ
m-1151	170	5	fractals	fractal	NOUN
m-1151	170	6	35(2008	35(2008	NOUN
m-1151	170	7	)	)	PUNCT
m-1151	170	8	,	,	PUNCT
m-1151	170	9	140	140	NUM
m-1151	170	10	-	-	SYM
m-1151	170	11	147	147	NUM
m-1151	170	12	.	.	PUNCT
m-1151	171	1	[	[	X
m-1151	171	2	13	13	NUM
m-1151	171	3	]	]	X
m-1151	171	4	szeri	szeri	PROPN
m-1151	171	5	a.z	a.z	PROPN
m-1151	171	6	.	.	PROPN
m-1151	171	7	rajagopal	rajagopal	PROPN
m-1151	171	8	k.r	k.r	PROPN
m-1151	171	9	.	.	PROPN
m-1151	171	10	flow	flow	NOUN
m-1151	171	11	of	of	ADP
m-1151	171	12	a	a	DET
m-1151	171	13	non	non	ADJ
m-1151	171	14	-	-	ADJ
m-1151	171	15	newtonian	newtonian	ADJ
m-1151	171	16	fluid	fluid	NOUN
m-1151	171	17	between	between	ADP
m-1151	171	18	heated	heated	ADJ
m-1151	171	19	parallel	parallel	ADJ
m-1151	171	20	plates	plate	NOUN
m-1151	171	21	.	.	PUNCT
m-1151	172	1	int	int	NOUN
m-1151	172	2	.	.	PUNCT
m-1151	173	1	j.	j.	PROPN
m-1151	173	2	non	non	ADJ
m-1151	173	3	-	-	ADJ
m-1151	173	4	linear	linear	ADJ
m-1151	173	5	mech	mech	NOUN
m-1151	173	6	.	.	PUNCT
m-1151	174	1	20(1985	20(1985	NUM
m-1151	174	2	)	)	PUNCT
m-1151	174	3	,	,	PUNCT
m-1151	174	4	91	91	NUM
m-1151	174	5	-	-	SYM
m-1151	174	6	101	101	NUM
m-1151	174	7	.	.	PUNCT
m-1151	175	1	[	[	X
m-1151	175	2	14	14	NUM
m-1151	175	3	]	]	X
m-1151	175	4	yurusoy	yurusoy	NOUN
m-1151	175	5	,	,	PUNCT
m-1151	175	6	m.	m.	NOUN
m-1151	175	7	and	and	CCONJ
m-1151	175	8	pakdemirli	pakdemirli	NOUN
m-1151	175	9	,	,	PUNCT
m-1151	175	10	m.	m.	NOUN
m-1151	175	11	:	:	PUNCT
m-1151	175	12	approximate	approximate	ADJ
m-1151	175	13	analytical	analytical	ADJ
m-1151	175	14	solutions	solution	NOUN
m-1151	175	15	for	for	ADP
m-1151	175	16	the	the	DET
m-1151	175	17	flow	flow	NOUN
m-1151	175	18	of	of	ADP
m-1151	175	19	a	a	DET
m-1151	175	20	third	third	ADJ
m-1151	175	21	grade	grade	NOUN
m-1151	175	22	fluid	fluid	NOUN
m-1151	175	23	in	in	ADP
m-1151	175	24	a	a	DET
m-1151	175	25	pipe	pipe	NOUN
m-1151	175	26	.	.	PUNCT
m-1151	176	1	international	international	ADJ
m-1151	176	2	journal	journal	PROPN
m-1151	176	3	of	of	ADP
m-1151	176	4	non	non	ADJ
m-1151	176	5	-	-	ADJ
m-1151	176	6	linear	linear	ADJ
m-1151	176	7	mech	mech	NOUN
m-1151	176	8	.	.	PUNCT
m-1151	177	1	37(2002),187	37(2002),187	NUM
m-1151	177	2	-	-	SYM
m-1151	177	3	195	195	NUM
m-1151	177	4	.	.	PUNCT
m-1151	178	1	https://doi.org/10.5281/zenodo.17510312	https://doi.org/10.5281/zenodo.17510312	PROPN
m-1151	178	2	ijo	ijo	PROPN
m-1151	178	3	journals	journal	NOUN
m-1151	178	4	volume	volume	NOUN
m-1151	178	5	08	08	NUM
m-1151	179	1	|	|	ADV
m-1151	179	2	issue	issue	NOUN
m-1151	179	3	09	09	NUM
m-1151	179	4	|	|	ADV
m-1151	179	5	september	september	PROPN
m-1151	179	6	2025	2025	NUM
m-1151	179	7	|	|	ADV
m-1151	179	8	https://ijojournals.com/index.php/m/index	https://ijojournals.com/index.php/m/index	NOUN
m-1151	179	9	74	74	NUM