id	sid	tid	token	lemma	pos
ejpam-4245	1	1	european	european	PROPN
ejpam-4245	1	2	journal	journal	PROPN
ejpam-4245	1	3	of	of	ADP
ejpam-4245	1	4	pure	pure	ADJ
ejpam-4245	1	5	and	and	CCONJ
ejpam-4245	1	6	applied	apply	VERB
ejpam-4245	1	7	mathematics	mathematic	NOUN
ejpam-4245	1	8	vol	vol	NOUN
ejpam-4245	1	9	.	.	PROPN
ejpam-4245	2	1	15	15	NUM
ejpam-4245	2	2	,	,	PUNCT
ejpam-4245	2	3	no	no	INTJ
ejpam-4245	2	4	.	.	NOUN
ejpam-4245	2	5	1	1	NUM
ejpam-4245	2	6	,	,	PUNCT
ejpam-4245	2	7	2022	2022	NUM
ejpam-4245	2	8	,	,	PUNCT
ejpam-4245	2	9	314	314	NUM
ejpam-4245	2	10	-	-	SYM
ejpam-4245	2	11	327	327	NUM
ejpam-4245	2	12	issn	issn	PROPN
ejpam-4245	2	13	1307	1307	NUM
ejpam-4245	2	14	-	-	SYM
ejpam-4245	2	15	5543	5543	NUM
ejpam-4245	2	16	–	–	PUNCT
ejpam-4245	2	17	ejpam.com	ejpam.com	X
ejpam-4245	2	18	published	publish	VERB
ejpam-4245	2	19	by	by	ADP
ejpam-4245	2	20	new	new	PROPN
ejpam-4245	2	21	york	york	PROPN
ejpam-4245	2	22	business	business	PROPN
ejpam-4245	2	23	global	global	PROPN
ejpam-4245	2	24	numerical	numerical	PROPN
ejpam-4245	2	25	study	study	NOUN
ejpam-4245	2	26	of	of	ADP
ejpam-4245	2	27	two	two	NUM
ejpam-4245	2	28	dimensional	dimensional	ADJ
ejpam-4245	2	29	steady	steady	ADJ
ejpam-4245	2	30	incompressible	incompressible	ADJ
ejpam-4245	2	31	newtonian	newtonian	ADJ
ejpam-4245	2	32	laminar	laminar	ADJ
ejpam-4245	2	33	flow	flow	NOUN
ejpam-4245	2	34	of	of	ADP
ejpam-4245	2	35	blood	blood	NOUN
ejpam-4245	2	36	through	through	ADP
ejpam-4245	2	37	constricted	constrict	VERB
ejpam-4245	2	38	artery	artery	NOUN
ejpam-4245	2	39	jonathan	jonathan	PROPN
ejpam-4245	2	40	tsetimi1,∗	tsetimi1,∗	PROPN
ejpam-4245	2	41	,	,	PUNCT
ejpam-4245	2	42	ebimene	ebimene	ADJ
ejpam-4245	2	43	mamadu1	mamadu1	NOUN
ejpam-4245	2	44	1	1	NUM
ejpam-4245	2	45	department	department	NOUN
ejpam-4245	2	46	of	of	ADP
ejpam-4245	2	47	mathematics	mathematic	NOUN
ejpam-4245	2	48	,	,	PUNCT
ejpam-4245	2	49	faculty	faculty	NOUN
ejpam-4245	2	50	of	of	ADP
ejpam-4245	2	51	science	science	NOUN
ejpam-4245	2	52	,	,	PUNCT
ejpam-4245	2	53	delta	delta	PROPN
ejpam-4245	2	54	state	state	PROPN
ejpam-4245	2	55	university	university	PROPN
ejpam-4245	2	56	,	,	PUNCT
ejpam-4245	2	57	abraka	abraka	PROPN
ejpam-4245	2	58	,	,	PUNCT
ejpam-4245	2	59	delta	delta	PROPN
ejpam-4245	2	60	state	state	PROPN
ejpam-4245	2	61	,	,	PUNCT
ejpam-4245	2	62	nigeria	nigeria	PROPN
ejpam-4245	2	63	abstract	abstract	ADJ
ejpam-4245	2	64	.	.	PUNCT
ejpam-4245	3	1	in	in	ADP
ejpam-4245	3	2	this	this	DET
ejpam-4245	3	3	work	work	NOUN
ejpam-4245	3	4	,	,	PUNCT
ejpam-4245	3	5	a	a	DET
ejpam-4245	3	6	numerical	numerical	ADJ
ejpam-4245	3	7	study	study	NOUN
ejpam-4245	3	8	of	of	ADP
ejpam-4245	3	9	two	two	NUM
ejpam-4245	3	10	dimensional	dimensional	ADJ
ejpam-4245	3	11	steady	steady	ADJ
ejpam-4245	3	12	,	,	PUNCT
ejpam-4245	3	13	incompressible	incompressible	ADJ
ejpam-4245	3	14	newtonian	newtonian	ADJ
ejpam-4245	3	15	laminar	laminar	ADJ
ejpam-4245	3	16	flow	flow	NOUN
ejpam-4245	3	17	of	of	ADP
ejpam-4245	3	18	blood	blood	NOUN
ejpam-4245	3	19	through	through	ADP
ejpam-4245	3	20	a	a	DET
ejpam-4245	3	21	stenosed	stenosed	ADJ
ejpam-4245	3	22	(	(	PUNCT
ejpam-4245	3	23	constricted	constrict	VERB
ejpam-4245	3	24	)	)	PUNCT
ejpam-4245	3	25	artery	artery	NOUN
ejpam-4245	3	26	is	be	AUX
ejpam-4245	3	27	investigated	investigate	VERB
ejpam-4245	3	28	.	.	PUNCT
ejpam-4245	4	1	the	the	DET
ejpam-4245	4	2	variational	variational	ADJ
ejpam-4245	4	3	iteration	iteration	NOUN
ejpam-4245	4	4	method	method	NOUN
ejpam-4245	4	5	(	(	PUNCT
ejpam-4245	4	6	vim	vim	NOUN
ejpam-4245	4	7	)	)	PUNCT
ejpam-4245	4	8	is	be	AUX
ejpam-4245	4	9	employed	employ	VERB
ejpam-4245	4	10	to	to	PART
ejpam-4245	4	11	obtain	obtain	VERB
ejpam-4245	4	12	the	the	DET
ejpam-4245	4	13	analytic	analytic	ADJ
ejpam-4245	4	14	expressions	expression	NOUN
ejpam-4245	4	15	for	for	ADP
ejpam-4245	4	16	the	the	DET
ejpam-4245	4	17	velocity	velocity	NOUN
ejpam-4245	4	18	profile	profile	NOUN
ejpam-4245	4	19	and	and	CCONJ
ejpam-4245	4	20	pressure	pressure	NOUN
ejpam-4245	4	21	gradient	gradient	NOUN
ejpam-4245	4	22	.	.	PUNCT
ejpam-4245	5	1	the	the	DET
ejpam-4245	5	2	results	result	NOUN
ejpam-4245	5	3	obtained	obtain	VERB
ejpam-4245	5	4	are	be	AUX
ejpam-4245	5	5	graphically	graphically	ADV
ejpam-4245	5	6	discussed	discuss	VERB
ejpam-4245	5	7	for	for	ADP
ejpam-4245	5	8	mild	mild	ADJ
ejpam-4245	5	9	stenosis	stenosis	NOUN
ejpam-4245	5	10	(	(	PUNCT
ejpam-4245	5	11	25	25	NUM
ejpam-4245	5	12	%	%	NOUN
ejpam-4245	5	13	)	)	PUNCT
ejpam-4245	5	14	for	for	ADP
ejpam-4245	5	15	low	low	ADJ
ejpam-4245	5	16	reynolds	reynold	NOUN
ejpam-4245	5	17	number	number	NOUN
ejpam-4245	5	18	in	in	ADP
ejpam-4245	5	19	the	the	DET
ejpam-4245	5	20	range	range	NOUN
ejpam-4245	5	21	20–100	20–100	PROPN
ejpam-4245	5	22	.	.	PUNCT
ejpam-4245	6	1	the	the	DET
ejpam-4245	6	2	significance	significance	NOUN
ejpam-4245	6	3	of	of	ADP
ejpam-4245	6	4	the	the	DET
ejpam-4245	6	5	analysis	analysis	NOUN
ejpam-4245	6	6	is	be	AUX
ejpam-4245	6	7	identified	identify	VERB
ejpam-4245	6	8	by	by	ADP
ejpam-4245	6	9	comparing	compare	VERB
ejpam-4245	6	10	the	the	DET
ejpam-4245	6	11	results	result	NOUN
ejpam-4245	6	12	obtained	obtain	VERB
ejpam-4245	6	13	with	with	ADP
ejpam-4245	6	14	similar	similar	ADJ
ejpam-4245	6	15	studies	study	NOUN
ejpam-4245	6	16	in	in	ADP
ejpam-4245	6	17	existing	exist	VERB
ejpam-4245	6	18	literature	literature	NOUN
ejpam-4245	6	19	,	,	PUNCT
ejpam-4245	6	20	and	and	CCONJ
ejpam-4245	6	21	established	establish	VERB
ejpam-4245	6	22	a	a	DET
ejpam-4245	6	23	good	good	ADJ
ejpam-4245	6	24	agreement	agreement	NOUN
ejpam-4245	6	25	.	.	PUNCT
ejpam-4245	7	1	the	the	DET
ejpam-4245	7	2	results	result	NOUN
ejpam-4245	7	3	obtained	obtain	VERB
ejpam-4245	7	4	reveal	reveal	ADJ
ejpam-4245	7	5	alterations	alteration	NOUN
ejpam-4245	7	6	in	in	ADP
ejpam-4245	7	7	blood	blood	NOUN
ejpam-4245	7	8	flow	flow	NOUN
ejpam-4245	7	9	due	due	ADP
ejpam-4245	7	10	to	to	ADP
ejpam-4245	7	11	presence	presence	NOUN
ejpam-4245	7	12	of	of	ADP
ejpam-4245	7	13	stenosis	stenosis	NOUN
ejpam-4245	7	14	in	in	ADP
ejpam-4245	7	15	arterial	arterial	ADJ
ejpam-4245	7	16	wall	wall	NOUN
ejpam-4245	7	17	and	and	CCONJ
ejpam-4245	7	18	the	the	DET
ejpam-4245	7	19	implications	implication	NOUN
ejpam-4245	7	20	are	be	AUX
ejpam-4245	7	21	discussed	discuss	VERB
ejpam-4245	7	22	.	.	PUNCT
ejpam-4245	8	1	2020	2020	NUM
ejpam-4245	8	2	mathematics	mathematic	NOUN
ejpam-4245	8	3	subject	subject	NOUN
ejpam-4245	8	4	classifications	classification	NOUN
ejpam-4245	8	5	:	:	PUNCT
ejpam-4245	8	6	58j05	58j05	NUM
ejpam-4245	8	7	,	,	PUNCT
ejpam-4245	8	8	65b10	65b10	NUM
ejpam-4245	8	9	,	,	PUNCT
ejpam-4245	8	10	65k10	65k10	NUM
ejpam-4245	8	11	,	,	PUNCT
ejpam-4245	8	12	76d05	76d05	NUM
ejpam-4245	8	13	key	key	ADJ
ejpam-4245	8	14	words	word	NOUN
ejpam-4245	8	15	and	and	CCONJ
ejpam-4245	8	16	phrases	phrase	NOUN
ejpam-4245	8	17	:	:	PUNCT
ejpam-4245	8	18	hemodynamic	hemodynamic	ADJ
ejpam-4245	8	19	,	,	PUNCT
ejpam-4245	8	20	newtonian	newtonian	ADJ
ejpam-4245	8	21	fluid	fluid	NOUN
ejpam-4245	8	22	,	,	PUNCT
ejpam-4245	8	23	cardiovascular	cardiovascular	ADJ
ejpam-4245	8	24	disease	disease	NOUN
ejpam-4245	8	25	,	,	PUNCT
ejpam-4245	8	26	atherosclerosis	atherosclerosis	NOUN
ejpam-4245	8	27	,	,	PUNCT
ejpam-4245	8	28	stenosis	stenosis	NOUN
ejpam-4245	8	29	,	,	PUNCT
ejpam-4245	8	30	artery	artery	NOUN
ejpam-4245	8	31	,	,	PUNCT
ejpam-4245	8	32	laminar	laminar	ADJ
ejpam-4245	8	33	flow	flow	VERB
ejpam-4245	8	34	1	1	NUM
ejpam-4245	8	35	.	.	PUNCT
ejpam-4245	9	1	introduction	introduction	NOUN
ejpam-4245	9	2	the	the	DET
ejpam-4245	9	3	study	study	NOUN
ejpam-4245	9	4	of	of	ADP
ejpam-4245	9	5	flow	flow	NOUN
ejpam-4245	9	6	of	of	ADP
ejpam-4245	9	7	blood	blood	NOUN
ejpam-4245	9	8	through	through	ADP
ejpam-4245	9	9	the	the	DET
ejpam-4245	9	10	human	human	ADJ
ejpam-4245	9	11	circulatory	circulatory	ADJ
ejpam-4245	9	12	system	system	NOUN
ejpam-4245	9	13	has	have	AUX
ejpam-4245	9	14	been	be	AUX
ejpam-4245	9	15	a	a	DET
ejpam-4245	9	16	subject	subject	NOUN
ejpam-4245	9	17	of	of	ADP
ejpam-4245	9	18	attention	attention	NOUN
ejpam-4245	9	19	for	for	ADP
ejpam-4245	9	20	scientific	scientific	ADJ
ejpam-4245	9	21	research	research	NOUN
ejpam-4245	9	22	for	for	ADP
ejpam-4245	9	23	about	about	ADV
ejpam-4245	9	24	a	a	DET
ejpam-4245	9	25	couple	couple	NOUN
ejpam-4245	9	26	of	of	ADP
ejpam-4245	9	27	centuries	century	NOUN
ejpam-4245	9	28	.	.	PUNCT
ejpam-4245	10	1	like	like	INTJ
ejpam-4245	10	2	so	so	ADV
ejpam-4245	10	3	many	many	ADJ
ejpam-4245	10	4	problems	problem	NOUN
ejpam-4245	10	5	of	of	ADP
ejpam-4245	10	6	nature	nature	NOUN
ejpam-4245	10	7	including	include	VERB
ejpam-4245	10	8	life	life	NOUN
ejpam-4245	10	9	sciences	science	NOUN
ejpam-4245	10	10	,	,	PUNCT
ejpam-4245	10	11	hemodynamics	hemodynamic	NOUN
ejpam-4245	10	12	is	be	AUX
ejpam-4245	10	13	a	a	DET
ejpam-4245	10	14	rigorous	rigorous	ADJ
ejpam-4245	10	15	one	one	NOUN
ejpam-4245	10	16	due	due	ADP
ejpam-4245	10	17	to	to	ADP
ejpam-4245	10	18	complex	complex	ADJ
ejpam-4245	10	19	nature	nature	NOUN
ejpam-4245	10	20	of	of	ADP
ejpam-4245	10	21	blood	blood	NOUN
ejpam-4245	10	22	,	,	PUNCT
ejpam-4245	10	23	the	the	DET
ejpam-4245	10	24	circulatory	circulatory	ADJ
ejpam-4245	10	25	system	system	NOUN
ejpam-4245	10	26	and	and	CCONJ
ejpam-4245	10	27	their	their	PRON
ejpam-4245	10	28	constituent	constituent	ADJ
ejpam-4245	10	29	elements	element	NOUN
ejpam-4245	10	30	.	.	PUNCT
ejpam-4245	11	1	hemodynamics	hemodynamic	NOUN
ejpam-4245	11	2	is	be	AUX
ejpam-4245	11	3	the	the	DET
ejpam-4245	11	4	study	study	NOUN
ejpam-4245	11	5	of	of	ADP
ejpam-4245	11	6	blood	blood	NOUN
ejpam-4245	11	7	mechanical	mechanical	ADJ
ejpam-4245	11	8	and	and	CCONJ
ejpam-4245	11	9	physiological	physiological	ADJ
ejpam-4245	11	10	characteristics	characteristic	NOUN
ejpam-4245	11	11	and	and	CCONJ
ejpam-4245	11	12	how	how	SCONJ
ejpam-4245	11	13	it	it	PRON
ejpam-4245	11	14	flows	flow	VERB
ejpam-4245	11	15	in	in	ADP
ejpam-4245	11	16	the	the	DET
ejpam-4245	11	17	body	body	NOUN
ejpam-4245	11	18	,	,	PUNCT
ejpam-4245	11	19	as	as	ADV
ejpam-4245	11	20	well	well	ADV
ejpam-4245	11	21	as	as	ADP
ejpam-4245	11	22	the	the	DET
ejpam-4245	11	23	forces	force	NOUN
ejpam-4245	11	24	involved	involve	VERB
ejpam-4245	11	25	.	.	PUNCT
ejpam-4245	12	1	it	it	PRON
ejpam-4245	12	2	describes	describe	VERB
ejpam-4245	12	3	the	the	DET
ejpam-4245	12	4	physical	physical	ADJ
ejpam-4245	12	5	laws	law	NOUN
ejpam-4245	12	6	that	that	PRON
ejpam-4245	12	7	govern	govern	VERB
ejpam-4245	12	8	blood	blood	NOUN
ejpam-4245	12	9	flow	flow	NOUN
ejpam-4245	12	10	in	in	ADP
ejpam-4245	12	11	the	the	DET
ejpam-4245	12	12	blood	blood	NOUN
ejpam-4245	12	13	vessels	vessel	NOUN
ejpam-4245	12	14	.	.	PUNCT
ejpam-4245	13	1	proper	proper	ADJ
ejpam-4245	13	2	blood	blood	NOUN
ejpam-4245	13	3	circulation	circulation	NOUN
ejpam-4245	13	4	(	(	PUNCT
ejpam-4245	13	5	blood	blood	NOUN
ejpam-4245	13	6	flow	flow	NOUN
ejpam-4245	13	7	)	)	PUNCT
ejpam-4245	13	8	is	be	AUX
ejpam-4245	13	9	a	a	DET
ejpam-4245	13	10	condition	condition	NOUN
ejpam-4245	13	11	necessary	necessary	ADJ
ejpam-4245	13	12	for	for	ADP
ejpam-4245	13	13	adequate	adequate	ADJ
ejpam-4245	13	14	supply	supply	NOUN
ejpam-4245	13	15	of	of	ADP
ejpam-4245	13	16	oxygen	oxygen	NOUN
ejpam-4245	13	17	to	to	ADP
ejpam-4245	13	18	all	all	DET
ejpam-4245	13	19	body	body	NOUN
ejpam-4245	13	20	tissues	tissue	NOUN
ejpam-4245	13	21	,	,	PUNCT
ejpam-4245	13	22	which	which	PRON
ejpam-4245	13	23	thereafter	thereafter	ADV
ejpam-4245	13	24	support	support	VERB
ejpam-4245	13	25	cardiovascular	cardiovascular	ADJ
ejpam-4245	13	26	health	health	NOUN
ejpam-4245	13	27	,	,	PUNCT
ejpam-4245	13	28	longevity	longevity	NOUN
ejpam-4245	13	29	,	,	PUNCT
ejpam-4245	13	30	high	high	ADJ
ejpam-4245	13	31	quality	quality	NOUN
ejpam-4245	13	32	of	of	ADP
ejpam-4245	13	33	life	life	NOUN
ejpam-4245	13	34	and	and	CCONJ
ejpam-4245	13	35	survival	survival	NOUN
ejpam-4245	13	36	of	of	ADP
ejpam-4245	13	37	surgical	surgical	ADJ
ejpam-4245	13	38	patients	patient	NOUN
ejpam-4245	13	39	.	.	PUNCT
ejpam-4245	14	1	there	there	PRON
ejpam-4245	14	2	are	be	VERB
ejpam-4245	14	3	numerus	numerus	NOUN
ejpam-4245	14	4	factors	factor	NOUN
ejpam-4245	14	5	influencing	influence	VERB
ejpam-4245	14	6	hemodynamics	hemodynamic	NOUN
ejpam-4245	14	7	ranging	range	VERB
ejpam-4245	14	8	from	from	ADP
ejpam-4245	14	9	circulatory	circulatory	ADJ
ejpam-4245	14	10	volume	volume	NOUN
ejpam-4245	14	11	of	of	ADP
ejpam-4245	14	12	blood	blood	NOUN
ejpam-4245	14	13	,	,	PUNCT
ejpam-4245	14	14	viscosity	viscosity	NOUN
ejpam-4245	14	15	of	of	ADP
ejpam-4245	14	16	blood	blood	NOUN
ejpam-4245	14	17	,	,	PUNCT
ejpam-4245	14	18	resistance	resistance	NOUN
ejpam-4245	14	19	,	,	PUNCT
ejpam-4245	14	20	vascular	vascular	ADJ
ejpam-4245	14	21	diameter	diameter	NOUN
ejpam-4245	14	22	,	,	PUNCT
ejpam-4245	14	23	respiration	respiration	NOUN
ejpam-4245	14	24	,	,	PUNCT
ejpam-4245	14	25	density	density	NOUN
ejpam-4245	14	26	,	,	PUNCT
ejpam-4245	14	27	obstruction	obstruction	NOUN
ejpam-4245	14	28	and	and	CCONJ
ejpam-4245	14	29	so	so	ADV
ejpam-4245	14	30	on	on	ADV
ejpam-4245	14	31	.	.	PUNCT
ejpam-4245	15	1	there	there	PRON
ejpam-4245	15	2	are	be	VERB
ejpam-4245	15	3	∗corresponding	∗corresponde	VERB
ejpam-4245	15	4	author	author	NOUN
ejpam-4245	15	5	.	.	PUNCT
ejpam-4245	16	1	doi	doi	NOUN
ejpam-4245	16	2	:	:	PUNCT
ejpam-4245	16	3	https://doi.org/10.29020/nybg.ejpam.v15i1.4245	https://doi.org/10.29020/nybg.ejpam.v15i1.4245	PROPN
ejpam-4245	16	4	email	email	NOUN
ejpam-4245	16	5	addresses	address	NOUN
ejpam-4245	16	6	:	:	PUNCT
ejpam-4245	16	7	jtsetimi@delsu.edu.ng	jtsetimi@delsu.edu.ng	PROPN
ejpam-4245	16	8	(	(	PUNCT
ejpam-4245	16	9	j.	j.	PROPN
ejpam-4245	16	10	tsetimi	tsetimi	PROPN
ejpam-4245	16	11	)	)	PUNCT
ejpam-4245	16	12	,	,	PUNCT
ejpam-4245	16	13	emamadu@delsu.edu.ng	emamadu@delsu.edu.ng	NOUN
ejpam-4245	16	14	(	(	PUNCT
ejpam-4245	16	15	e.	e.	PROPN
ejpam-4245	16	16	j.	j.	PROPN
ejpam-4245	16	17	mamadu	mamadu	PROPN
ejpam-4245	16	18	)	)	PUNCT
ejpam-4245	16	19	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4245	17	1	314	314	NUM
ejpam-4245	17	2	©	©	PROPN
ejpam-4245	17	3	2022	2022	NUM
ejpam-4245	17	4	ejpam	ejpam	VERB
ejpam-4245	17	5	all	all	DET
ejpam-4245	17	6	rights	right	NOUN
ejpam-4245	17	7	reserved	reserve	VERB
ejpam-4245	17	8	.	.	PUNCT
ejpam-4245	18	1	j.	j.	PROPN
ejpam-4245	18	2	tsetimi	tsetimi	PROPN
ejpam-4245	18	3	,	,	PUNCT
ejpam-4245	18	4	e.	e.	PROPN
ejpam-4245	18	5	j.	j.	PROPN
ejpam-4245	18	6	mamadu	mamadu	PROPN
ejpam-4245	18	7	/	/	SYM
ejpam-4245	18	8	eur	eur	PROPN
ejpam-4245	18	9	.	.	PUNCT
ejpam-4245	19	1	j.	j.	PROPN
ejpam-4245	19	2	pure	pure	PROPN
ejpam-4245	19	3	appl	appl	PROPN
ejpam-4245	19	4	.	.	PROPN
ejpam-4245	19	5	math	math	PROPN
ejpam-4245	19	6	,	,	PUNCT
ejpam-4245	19	7	15	15	NUM
ejpam-4245	19	8	(	(	PUNCT
ejpam-4245	19	9	1	1	NUM
ejpam-4245	19	10	)	)	PUNCT
ejpam-4245	19	11	(	(	PUNCT
ejpam-4245	19	12	2022	2022	NUM
ejpam-4245	19	13	)	)	PUNCT
ejpam-4245	19	14	,	,	PUNCT
ejpam-4245	19	15	314	314	NUM
ejpam-4245	19	16	-	-	SYM
ejpam-4245	19	17	327	327	NUM
ejpam-4245	19	18	315	315	NUM
ejpam-4245	19	19	various	various	ADJ
ejpam-4245	19	20	diseases	disease	NOUN
ejpam-4245	19	21	and	and	CCONJ
ejpam-4245	19	22	disorders	disorder	NOUN
ejpam-4245	19	23	of	of	ADP
ejpam-4245	19	24	the	the	DET
ejpam-4245	19	25	cardiovascular	cardiovascular	ADJ
ejpam-4245	19	26	system	system	NOUN
ejpam-4245	19	27	associated	associate	VERB
ejpam-4245	19	28	with	with	ADP
ejpam-4245	19	29	hemodynamic	hemodynamic	ADJ
ejpam-4245	19	30	dysfunction	dysfunction	NOUN
ejpam-4245	19	31	,	,	PUNCT
ejpam-4245	19	32	due	due	ADP
ejpam-4245	19	33	to	to	ADP
ejpam-4245	19	34	mild	mild	ADJ
ejpam-4245	19	35	or	or	CCONJ
ejpam-4245	19	36	intense	intense	ADJ
ejpam-4245	19	37	narrowing	narrowing	NOUN
ejpam-4245	19	38	or	or	CCONJ
ejpam-4245	19	39	blockage	blockage	NOUN
ejpam-4245	19	40	of	of	ADP
ejpam-4245	19	41	arteries	artery	NOUN
ejpam-4245	19	42	.	.	PUNCT
ejpam-4245	20	1	some	some	DET
ejpam-4245	20	2	disease	disease	NOUN
ejpam-4245	20	3	of	of	ADP
ejpam-4245	20	4	the	the	DET
ejpam-4245	20	5	cardiovascular	cardiovascular	ADJ
ejpam-4245	20	6	system	system	NOUN
ejpam-4245	20	7	includes	include	VERB
ejpam-4245	20	8	atherosclerosis	atherosclerosis	NOUN
ejpam-4245	20	9	,	,	PUNCT
ejpam-4245	20	10	aneurysm	aneurysm	NOUN
ejpam-4245	20	11	,	,	PUNCT
ejpam-4245	20	12	thrombosis	thrombosis	NOUN
ejpam-4245	20	13	,	,	PUNCT
ejpam-4245	20	14	stenosis	stenosis	NOUN
ejpam-4245	20	15	,	,	PUNCT
ejpam-4245	20	16	etc	etc	X
ejpam-4245	20	17	.	.	X
ejpam-4245	20	18	majority	majority	NOUN
ejpam-4245	20	19	of	of	ADP
ejpam-4245	20	20	cardiovascular	cardiovascular	ADJ
ejpam-4245	20	21	diseases	disease	NOUN
ejpam-4245	20	22	and	and	CCONJ
ejpam-4245	20	23	disorders	disorder	NOUN
ejpam-4245	20	24	are	be	AUX
ejpam-4245	20	25	connected	connect	VERB
ejpam-4245	20	26	to	to	ADP
ejpam-4245	20	27	systemic	systemic	ADJ
ejpam-4245	20	28	dysfunction	dysfunction	NOUN
ejpam-4245	20	29	of	of	ADP
ejpam-4245	20	30	which	which	DET
ejpam-4245	20	31	heart	heart	NOUN
ejpam-4245	20	32	failure	failure	NOUN
ejpam-4245	20	33	,	,	PUNCT
ejpam-4245	20	34	stroke	stroke	NOUN
ejpam-4245	20	35	and	and	CCONJ
ejpam-4245	20	36	hypertension	hypertension	NOUN
ejpam-4245	20	37	are	be	AUX
ejpam-4245	20	38	prominent	prominent	ADJ
ejpam-4245	20	39	known	know	VERB
ejpam-4245	20	40	ones	one	NOUN
ejpam-4245	20	41	.	.	PUNCT
ejpam-4245	21	1	in	in	ADP
ejpam-4245	21	2	this	this	DET
ejpam-4245	21	3	work	work	NOUN
ejpam-4245	21	4	,	,	PUNCT
ejpam-4245	21	5	we	we	PRON
ejpam-4245	21	6	shall	shall	AUX
ejpam-4245	21	7	focus	focus	VERB
ejpam-4245	21	8	on	on	ADP
ejpam-4245	21	9	blood	blood	NOUN
ejpam-4245	21	10	flow	flow	NOUN
ejpam-4245	21	11	through	through	ADP
ejpam-4245	21	12	an	an	DET
ejpam-4245	21	13	artery	artery	NOUN
ejpam-4245	21	14	with	with	ADP
ejpam-4245	21	15	presence	presence	NOUN
ejpam-4245	21	16	of	of	ADP
ejpam-4245	21	17	stenosis	stenosis	NOUN
ejpam-4245	21	18	,	,	PUNCT
ejpam-4245	21	19	and	and	CCONJ
ejpam-4245	21	20	effect	effect	NOUN
ejpam-4245	21	21	on	on	ADP
ejpam-4245	21	22	flow	flow	NOUN
ejpam-4245	21	23	properties	property	NOUN
ejpam-4245	21	24	such	such	ADJ
ejpam-4245	21	25	as	as	ADP
ejpam-4245	21	26	velocity	velocity	NOUN
ejpam-4245	21	27	profile	profile	NOUN
ejpam-4245	21	28	and	and	CCONJ
ejpam-4245	21	29	pressure	pressure	NOUN
ejpam-4245	21	30	gradient	gradient	NOUN
ejpam-4245	21	31	.	.	PUNCT
ejpam-4245	22	1	blood	blood	NOUN
ejpam-4245	22	2	is	be	AUX
ejpam-4245	22	3	a	a	DET
ejpam-4245	22	4	fluid	fluid	NOUN
ejpam-4245	22	5	which	which	PRON
ejpam-4245	22	6	circulates	circulate	VERB
ejpam-4245	22	7	through	through	ADP
ejpam-4245	22	8	the	the	DET
ejpam-4245	22	9	hearts	heart	NOUN
ejpam-4245	22	10	,	,	PUNCT
ejpam-4245	22	11	arteries	artery	NOUN
ejpam-4245	22	12	,	,	PUNCT
ejpam-4245	22	13	veins	vein	NOUN
ejpam-4245	22	14	and	and	CCONJ
ejpam-4245	22	15	capillaries	capillary	NOUN
ejpam-4245	22	16	of	of	ADP
ejpam-4245	22	17	the	the	DET
ejpam-4245	22	18	circulatory	circulatory	ADJ
ejpam-4245	22	19	system	system	NOUN
ejpam-4245	22	20	.	.	PUNCT
ejpam-4245	23	1	blood	blood	NOUN
ejpam-4245	23	2	is	be	AUX
ejpam-4245	23	3	composed	compose	VERB
ejpam-4245	23	4	of	of	ADP
ejpam-4245	23	5	two	two	NUM
ejpam-4245	23	6	parts	part	NOUN
ejpam-4245	23	7	;	;	PUNCT
ejpam-4245	23	8	a	a	DET
ejpam-4245	23	9	solid	solid	ADJ
ejpam-4245	23	10	portion	portion	NOUN
ejpam-4245	23	11	which	which	PRON
ejpam-4245	23	12	is	be	AUX
ejpam-4245	23	13	about	about	ADP
ejpam-4245	23	14	(	(	PUNCT
ejpam-4245	23	15	40	40	NUM
ejpam-4245	23	16	−	−	NUM
ejpam-4245	23	17	45	45	NUM
ejpam-4245	23	18	%	%	NOUN
ejpam-4245	23	19	)	)	PUNCT
ejpam-4245	23	20	formed	form	VERB
ejpam-4245	23	21	element	element	NOUN
ejpam-4245	23	22	,	,	PUNCT
ejpam-4245	23	23	consisting	consist	VERB
ejpam-4245	23	24	of	of	ADP
ejpam-4245	23	25	the	the	DET
ejpam-4245	23	26	red	red	ADJ
ejpam-4245	23	27	blood	blood	NOUN
ejpam-4245	23	28	cells	cell	NOUN
ejpam-4245	23	29	(	(	PUNCT
ejpam-4245	23	30	for	for	ADP
ejpam-4245	23	31	oxygen	oxygen	NOUN
ejpam-4245	23	32	and	and	CCONJ
ejpam-4245	23	33	carbon	carbon	NOUN
ejpam-4245	23	34	dioxide	dioxide	NOUN
ejpam-4245	23	35	transportation	transportation	NOUN
ejpam-4245	23	36	)	)	PUNCT
ejpam-4245	23	37	,	,	PUNCT
ejpam-4245	23	38	the	the	DET
ejpam-4245	23	39	white	white	ADJ
ejpam-4245	23	40	blood	blood	NOUN
ejpam-4245	23	41	cells	cell	NOUN
ejpam-4245	23	42	(	(	PUNCT
ejpam-4245	23	43	for	for	ADP
ejpam-4245	23	44	defense	defense	NOUN
ejpam-4245	23	45	and	and	CCONJ
ejpam-4245	23	46	immunity	immunity	NOUN
ejpam-4245	23	47	)	)	PUNCT
ejpam-4245	23	48	and	and	CCONJ
ejpam-4245	23	49	platelets	platelet	NOUN
ejpam-4245	23	50	(	(	PUNCT
ejpam-4245	23	51	blood	blood	NOUN
ejpam-4245	23	52	clothing	clothing	NOUN
ejpam-4245	23	53	)	)	PUNCT
ejpam-4245	23	54	all	all	PRON
ejpam-4245	23	55	suspended	suspend	VERB
ejpam-4245	23	56	in	in	ADP
ejpam-4245	23	57	plasma	plasma	NOUN
ejpam-4245	23	58	.	.	PUNCT
ejpam-4245	24	1	the	the	DET
ejpam-4245	24	2	liquid	liquid	ADJ
ejpam-4245	24	3	portion	portion	NOUN
ejpam-4245	24	4	(	(	PUNCT
ejpam-4245	24	5	plasma	plasma	NOUN
ejpam-4245	24	6	)	)	PUNCT
ejpam-4245	24	7	makes	make	VERB
ejpam-4245	24	8	up	up	ADP
ejpam-4245	24	9	the	the	DET
ejpam-4245	24	10	majority	majority	NOUN
ejpam-4245	24	11	(	(	PUNCT
ejpam-4245	24	12	45	45	NUM
ejpam-4245	24	13	−	−	NUM
ejpam-4245	24	14	60	60	NUM
ejpam-4245	24	15	%	%	NOUN
ejpam-4245	24	16	)	)	PUNCT
ejpam-4245	24	17	of	of	ADP
ejpam-4245	24	18	the	the	DET
ejpam-4245	24	19	blood	blood	NOUN
ejpam-4245	24	20	volume	volume	NOUN
ejpam-4245	24	21	.	.	PUNCT
ejpam-4245	25	1	plasma	plasma	NOUN
ejpam-4245	25	2	is	be	AUX
ejpam-4245	25	3	mainly	mainly	ADV
ejpam-4245	25	4	made	make	VERB
ejpam-4245	25	5	up	up	ADP
ejpam-4245	25	6	of	of	ADP
ejpam-4245	25	7	(	(	PUNCT
ejpam-4245	25	8	about	about	ADV
ejpam-4245	25	9	90	90	NUM
ejpam-4245	25	10	%	%	NOUN
ejpam-4245	25	11	)	)	PUNCT
ejpam-4245	25	12	of	of	ADP
ejpam-4245	25	13	water	water	NOUN
ejpam-4245	25	14	.	.	PUNCT
ejpam-4245	26	1	the	the	DET
ejpam-4245	26	2	density	density	NOUN
ejpam-4245	26	3	of	of	ADP
ejpam-4245	26	4	blood	blood	NOUN
ejpam-4245	26	5	is	be	AUX
ejpam-4245	26	6	approximately	approximately	ADV
ejpam-4245	26	7	1060kg	1060kg	ADJ
ejpam-4245	26	8	/	/	SYM
ejpam-4245	26	9	m3	m3	PROPN
ejpam-4245	26	10	at	at	ADP
ejpam-4245	26	11	370c	370c	NUM
ejpam-4245	26	12	.	.	PUNCT
ejpam-4245	27	1	blood	blood	NOUN
ejpam-4245	27	2	plasma	plasma	NOUN
ejpam-4245	27	3	has	have	VERB
ejpam-4245	27	4	a	a	DET
ejpam-4245	27	5	density	density	NOUN
ejpam-4245	27	6	of	of	ADP
ejpam-4245	27	7	1025kg	1025kg	NOUN
ejpam-4245	27	8	/	/	SYM
ejpam-4245	27	9	m3	m3	PROPN
ejpam-4245	27	10	which	which	PRON
ejpam-4245	27	11	is	be	AUX
ejpam-4245	27	12	predominantly	predominantly	ADV
ejpam-4245	27	13	about	about	ADV
ejpam-4245	27	14	93	93	NUM
ejpam-4245	27	15	%	%	NOUN
ejpam-4245	27	16	by	by	ADP
ejpam-4245	27	17	volume	volume	NOUN
ejpam-4245	27	18	of	of	ADP
ejpam-4245	27	19	water	water	NOUN
ejpam-4245	27	20	.	.	PUNCT
ejpam-4245	28	1	the	the	DET
ejpam-4245	28	2	viscosity	viscosity	NOUN
ejpam-4245	28	3	of	of	ADP
ejpam-4245	28	4	a	a	DET
ejpam-4245	28	5	fluid	fluid	NOUN
ejpam-4245	28	6	describes	describe	VERB
ejpam-4245	28	7	the	the	DET
ejpam-4245	28	8	internal	internal	ADJ
ejpam-4245	28	9	friction	friction	NOUN
ejpam-4245	28	10	between	between	ADP
ejpam-4245	28	11	fluid	fluid	ADJ
ejpam-4245	28	12	particles	particle	NOUN
ejpam-4245	28	13	as	as	SCONJ
ejpam-4245	28	14	they	they	PRON
ejpam-4245	28	15	slide	slide	VERB
ejpam-4245	28	16	past	past	ADP
ejpam-4245	28	17	one	one	NUM
ejpam-4245	28	18	another	another	DET
ejpam-4245	28	19	.	.	PUNCT
ejpam-4245	29	1	generally	generally	ADV
ejpam-4245	29	2	,	,	PUNCT
ejpam-4245	29	3	the	the	DET
ejpam-4245	29	4	viscosity	viscosity	NOUN
ejpam-4245	29	5	of	of	ADP
ejpam-4245	29	6	blood	blood	NOUN
ejpam-4245	29	7	is	be	AUX
ejpam-4245	29	8	a	a	DET
ejpam-4245	29	9	function	function	NOUN
ejpam-4245	29	10	of	of	ADP
ejpam-4245	29	11	plasma	plasma	NOUN
ejpam-4245	29	12	viscosity	viscosity	NOUN
ejpam-4245	29	13	(	(	PUNCT
ejpam-4245	29	14	which	which	PRON
ejpam-4245	29	15	is	be	AUX
ejpam-4245	29	16	relatively	relatively	ADV
ejpam-4245	29	17	constant	constant	ADJ
ejpam-4245	29	18	)	)	PUNCT
ejpam-4245	29	19	.	.	PUNCT
ejpam-4245	30	1	when	when	SCONJ
ejpam-4245	30	2	the	the	DET
ejpam-4245	30	3	viscosity	viscosity	NOUN
ejpam-4245	30	4	is	be	AUX
ejpam-4245	30	5	constant	constant	ADJ
ejpam-4245	30	6	,	,	PUNCT
ejpam-4245	30	7	blood	blood	NOUN
ejpam-4245	30	8	behaves	behave	VERB
ejpam-4245	30	9	like	like	ADP
ejpam-4245	30	10	a	a	DET
ejpam-4245	30	11	newtonian	newtonian	ADJ
ejpam-4245	30	12	fluid	fluid	NOUN
ejpam-4245	30	13	since	since	SCONJ
ejpam-4245	30	14	the	the	DET
ejpam-4245	30	15	blood	blood	NOUN
ejpam-4245	30	16	cells	cell	NOUN
ejpam-4245	30	17	do	do	AUX
ejpam-4245	30	18	not	not	PART
ejpam-4245	30	19	deform	deform	VERB
ejpam-4245	30	20	.	.	PUNCT
ejpam-4245	31	1	the	the	DET
ejpam-4245	31	2	viscosity	viscosity	NOUN
ejpam-4245	31	3	of	of	ADP
ejpam-4245	31	4	plasma	plasma	NOUN
ejpam-4245	31	5	is	be	AUX
ejpam-4245	31	6	approximately	approximately	ADV
ejpam-4245	31	7	µ	µ	ADJ
ejpam-4245	31	8	=	=	SYM
ejpam-4245	31	9	3.2×	3.2×	NUM
ejpam-4245	31	10	10−1kg.m−1s−1	10−1kg.m−1s−1	NUM
ejpam-4245	31	11	[	[	X
ejpam-4245	31	12	1	1	NUM
ejpam-4245	31	13	]	]	PUNCT
ejpam-4245	31	14	.	.	PUNCT
ejpam-4245	32	1	the	the	DET
ejpam-4245	32	2	study	study	NOUN
ejpam-4245	32	3	of	of	ADP
ejpam-4245	32	4	blood	blood	NOUN
ejpam-4245	32	5	flow	flow	NOUN
ejpam-4245	32	6	through	through	ADP
ejpam-4245	32	7	the	the	DET
ejpam-4245	32	8	cardiovascular	cardiovascular	ADJ
ejpam-4245	32	9	system	system	NOUN
ejpam-4245	32	10	has	have	AUX
ejpam-4245	32	11	gained	gain	VERB
ejpam-4245	32	12	tremendous	tremendous	ADJ
ejpam-4245	32	13	interest	interest	NOUN
ejpam-4245	32	14	in	in	ADP
ejpam-4245	32	15	scientific	scientific	ADJ
ejpam-4245	32	16	research	research	NOUN
ejpam-4245	32	17	.	.	PUNCT
ejpam-4245	33	1	a	a	DET
ejpam-4245	33	2	number	number	NOUN
ejpam-4245	33	3	of	of	ADP
ejpam-4245	33	4	theoretical	theoretical	ADJ
ejpam-4245	33	5	and	and	CCONJ
ejpam-4245	33	6	scientific	scientific	ADJ
ejpam-4245	33	7	efforts	effort	NOUN
ejpam-4245	33	8	has	have	AUX
ejpam-4245	33	9	been	be	AUX
ejpam-4245	33	10	made	make	VERB
ejpam-4245	33	11	in	in	ADP
ejpam-4245	33	12	literature	literature	NOUN
ejpam-4245	33	13	to	to	PART
ejpam-4245	33	14	explain	explain	VERB
ejpam-4245	33	15	the	the	DET
ejpam-4245	33	16	behavior	behavior	NOUN
ejpam-4245	33	17	of	of	ADP
ejpam-4245	33	18	blood	blood	NOUN
ejpam-4245	33	19	when	when	SCONJ
ejpam-4245	33	20	it	it	PRON
ejpam-4245	33	21	flows	flow	VERB
ejpam-4245	33	22	through	through	ADP
ejpam-4245	33	23	the	the	DET
ejpam-4245	33	24	vessels	vessel	NOUN
ejpam-4245	33	25	of	of	ADP
ejpam-4245	33	26	circulatory	circulatory	ADJ
ejpam-4245	33	27	system	system	NOUN
ejpam-4245	33	28	of	of	ADP
ejpam-4245	33	29	living	live	VERB
ejpam-4245	33	30	beings	being	NOUN
ejpam-4245	33	31	.	.	PUNCT
ejpam-4245	34	1	several	several	ADJ
ejpam-4245	34	2	researchers	researcher	NOUN
ejpam-4245	34	3	such	such	ADJ
ejpam-4245	34	4	as	as	ADP
ejpam-4245	34	5	[	[	X
ejpam-4245	34	6	2	2	NUM
ejpam-4245	34	7	]	]	PUNCT
ejpam-4245	34	8	,	,	PUNCT
ejpam-4245	34	9	have	have	AUX
ejpam-4245	34	10	reported	report	VERB
ejpam-4245	34	11	that	that	SCONJ
ejpam-4245	34	12	the	the	DET
ejpam-4245	34	13	fluid	fluid	ADJ
ejpam-4245	34	14	dynamics	dynamic	NOUN
ejpam-4245	34	15	and	and	CCONJ
ejpam-4245	34	16	rheological	rheological	ADJ
ejpam-4245	34	17	properties	property	NOUN
ejpam-4245	34	18	of	of	ADP
ejpam-4245	34	19	blood	blood	NOUN
ejpam-4245	34	20	and	and	CCONJ
ejpam-4245	34	21	its	its	PRON
ejpam-4245	34	22	flow	flow	NOUN
ejpam-4245	34	23	could	could	AUX
ejpam-4245	34	24	play	play	VERB
ejpam-4245	34	25	an	an	DET
ejpam-4245	34	26	important	important	ADJ
ejpam-4245	34	27	role	role	NOUN
ejpam-4245	34	28	in	in	ADP
ejpam-4245	34	29	the	the	DET
ejpam-4245	34	30	fundamental	fundamental	ADJ
ejpam-4245	34	31	understanding	understanding	NOUN
ejpam-4245	34	32	,	,	PUNCT
ejpam-4245	34	33	treatment	treatment	NOUN
ejpam-4245	34	34	and	and	CCONJ
ejpam-4245	34	35	diagnosis	diagnosis	NOUN
ejpam-4245	34	36	of	of	ADP
ejpam-4245	34	37	many	many	ADJ
ejpam-4245	34	38	cerebrovascular	cerebrovascular	ADJ
ejpam-4245	34	39	,	,	PUNCT
ejpam-4245	34	40	cardiovascular	cardiovascular	ADJ
ejpam-4245	34	41	and	and	CCONJ
ejpam-4245	34	42	arterial	arterial	ADJ
ejpam-4245	34	43	diseases	disease	NOUN
ejpam-4245	34	44	.	.	PUNCT
ejpam-4245	35	1	yamaguchi	yamaguchi	PROPN
ejpam-4245	35	2	[	[	X
ejpam-4245	35	3	3	3	X
ejpam-4245	35	4	]	]	PUNCT
ejpam-4245	35	5	gave	give	VERB
ejpam-4245	35	6	an	an	DET
ejpam-4245	35	7	insight	insight	NOUN
ejpam-4245	35	8	to	to	ADP
ejpam-4245	35	9	the	the	DET
ejpam-4245	35	10	cardiovascular	cardiovascular	ADJ
ejpam-4245	35	11	system	system	NOUN
ejpam-4245	35	12	,	,	PUNCT
ejpam-4245	35	13	its	its	PRON
ejpam-4245	35	14	physical	physical	ADJ
ejpam-4245	35	15	nature	nature	NOUN
ejpam-4245	35	16	,	,	PUNCT
ejpam-4245	35	17	pathological	pathological	ADJ
ejpam-4245	35	18	role	role	NOUN
ejpam-4245	35	19	,	,	PUNCT
ejpam-4245	35	20	measurements	measurement	NOUN
ejpam-4245	35	21	and	and	CCONJ
ejpam-4245	35	22	analysis	analysis	NOUN
ejpam-4245	35	23	.	.	PUNCT
ejpam-4245	36	1	mark	mark	PROPN
ejpam-4245	37	1	[	[	X
ejpam-4245	37	2	5	5	NUM
ejpam-4245	37	3	]	]	PUNCT
ejpam-4245	37	4	have	have	AUX
ejpam-4245	37	5	used	use	VERB
ejpam-4245	37	6	the	the	DET
ejpam-4245	37	7	poiseuille	poiseuille	NOUN
ejpam-4245	37	8	’s	’s	PART
ejpam-4245	37	9	law	law	NOUN
ejpam-4245	37	10	and	and	CCONJ
ejpam-4245	37	11	bernoulli	bernoulli	PROPN
ejpam-4245	37	12	’s	’s	PART
ejpam-4245	37	13	equation	equation	NOUN
ejpam-4245	37	14	in	in	ADP
ejpam-4245	37	15	a	a	DET
ejpam-4245	37	16	flow	flow	NOUN
ejpam-4245	37	17	tube	tube	NOUN
ejpam-4245	37	18	with	with	ADP
ejpam-4245	37	19	changing	change	VERB
ejpam-4245	37	20	cross	cross	ADJ
ejpam-4245	37	21	sectional	sectional	ADJ
ejpam-4245	37	22	area	area	NOUN
ejpam-4245	37	23	to	to	PART
ejpam-4245	37	24	conclude	conclude	VERB
ejpam-4245	37	25	that	that	SCONJ
ejpam-4245	37	26	pressure	pressure	NOUN
ejpam-4245	37	27	drops	drop	NOUN
ejpam-4245	37	28	as	as	ADP
ejpam-4245	37	29	velocity	velocity	NOUN
ejpam-4245	37	30	increases	increase	NOUN
ejpam-4245	37	31	in	in	ADP
ejpam-4245	37	32	the	the	DET
ejpam-4245	37	33	narrowed	narrow	VERB
ejpam-4245	37	34	portion	portion	NOUN
ejpam-4245	37	35	of	of	ADP
ejpam-4245	37	36	the	the	DET
ejpam-4245	37	37	tube	tube	NOUN
ejpam-4245	37	38	.	.	PUNCT
ejpam-4245	38	1	several	several	ADJ
ejpam-4245	38	2	other	other	ADJ
ejpam-4245	38	3	investigators	investigator	NOUN
ejpam-4245	38	4	have	have	AUX
ejpam-4245	38	5	presented	present	VERB
ejpam-4245	38	6	some	some	DET
ejpam-4245	38	7	theoretical	theoretical	ADJ
ejpam-4245	38	8	and	and	CCONJ
ejpam-4245	38	9	numerical	numerical	ADJ
ejpam-4245	38	10	analysis	analysis	NOUN
ejpam-4245	38	11	to	to	PART
ejpam-4245	38	12	study	study	VERB
ejpam-4245	38	13	blood	blood	NOUN
ejpam-4245	38	14	flow	flow	NOUN
ejpam-4245	38	15	characteristics	characteristic	NOUN
ejpam-4245	38	16	due	due	ADP
ejpam-4245	38	17	to	to	ADP
ejpam-4245	38	18	the	the	DET
ejpam-4245	38	19	presence	presence	NOUN
ejpam-4245	38	20	of	of	ADP
ejpam-4245	38	21	stenosis	stenosis	NOUN
ejpam-4245	38	22	in	in	ADP
ejpam-4245	38	23	the	the	DET
ejpam-4245	38	24	arteries	artery	NOUN
ejpam-4245	38	25	.	.	PUNCT
ejpam-4245	39	1	young	young	ADJ
ejpam-4245	39	2	[	[	X
ejpam-4245	39	3	4	4	X
ejpam-4245	39	4	]	]	PUNCT
ejpam-4245	39	5	investigated	investigate	VERB
ejpam-4245	39	6	the	the	DET
ejpam-4245	39	7	effects	effect	NOUN
ejpam-4245	39	8	of	of	ADP
ejpam-4245	39	9	a	a	DET
ejpam-4245	39	10	time	time	NOUN
ejpam-4245	39	11	-	-	PUNCT
ejpam-4245	39	12	dependent	dependent	ADJ
ejpam-4245	39	13	stenosis	stenosis	NOUN
ejpam-4245	39	14	on	on	ADP
ejpam-4245	39	15	flow	flow	NOUN
ejpam-4245	39	16	passing	pass	VERB
ejpam-4245	39	17	through	through	ADP
ejpam-4245	39	18	a	a	DET
ejpam-4245	39	19	tube	tube	NOUN
ejpam-4245	39	20	and	and	CCONJ
ejpam-4245	39	21	analyzed	analyze	VERB
ejpam-4245	39	22	the	the	DET
ejpam-4245	39	23	effects	effect	NOUN
ejpam-4245	39	24	of	of	ADP
ejpam-4245	39	25	stenosis	stenosis	NOUN
ejpam-4245	39	26	on	on	ADP
ejpam-4245	39	27	flow	flow	NOUN
ejpam-4245	39	28	characteristics	characteristic	NOUN
ejpam-4245	39	29	of	of	ADP
ejpam-4245	39	30	blood	blood	NOUN
ejpam-4245	39	31	by	by	ADP
ejpam-4245	39	32	treating	treat	VERB
ejpam-4245	39	33	blood	blood	NOUN
ejpam-4245	39	34	as	as	ADP
ejpam-4245	39	35	a	a	DET
ejpam-4245	39	36	newtonian	newtonian	ADJ
ejpam-4245	39	37	fluid	fluid	NOUN
ejpam-4245	39	38	.	.	PUNCT
ejpam-4245	40	1	the	the	DET
ejpam-4245	40	2	work	work	NOUN
ejpam-4245	40	3	of	of	ADP
ejpam-4245	40	4	[	[	X
ejpam-4245	40	5	6	6	NUM
ejpam-4245	40	6	]	]	PUNCT
ejpam-4245	40	7	also	also	ADV
ejpam-4245	40	8	reports	report	VERB
ejpam-4245	40	9	that	that	SCONJ
ejpam-4245	40	10	,	,	PUNCT
ejpam-4245	40	11	an	an	DET
ejpam-4245	40	12	increase	increase	NOUN
ejpam-4245	40	13	in	in	ADP
ejpam-4245	40	14	the	the	DET
ejpam-4245	40	15	size	size	NOUN
ejpam-4245	40	16	of	of	ADP
ejpam-4245	40	17	stenosis	stenosis	NOUN
ejpam-4245	40	18	increases	increase	VERB
ejpam-4245	40	19	both	both	CCONJ
ejpam-4245	40	20	the	the	DET
ejpam-4245	40	21	wall	wall	PROPN
ejpam-4245	40	22	shear	shear	PROPN
ejpam-4245	40	23	stress	stress	NOUN
ejpam-4245	40	24	and	and	CCONJ
ejpam-4245	40	25	impedance	impedance	NOUN
ejpam-4245	40	26	.	.	PUNCT
ejpam-4245	41	1	an	an	DET
ejpam-4245	41	2	approximate	approximate	ADJ
ejpam-4245	41	3	solution	solution	NOUN
ejpam-4245	41	4	is	be	AUX
ejpam-4245	41	5	presented	present	VERB
ejpam-4245	41	6	in	in	ADP
ejpam-4245	41	7	[	[	X
ejpam-4245	41	8	5	5	NUM
ejpam-4245	41	9	]	]	PUNCT
ejpam-4245	41	10	to	to	ADP
ejpam-4245	41	11	the	the	DET
ejpam-4245	41	12	problem	problem	NOUN
ejpam-4245	41	13	of	of	ADP
ejpam-4245	41	14	incompressible	incompressible	ADJ
ejpam-4245	41	15	flow	flow	NOUN
ejpam-4245	41	16	passing	pass	VERB
ejpam-4245	41	17	through	through	ADP
ejpam-4245	41	18	an	an	DET
ejpam-4245	41	19	axisymmetric	axisymmetric	ADJ
ejpam-4245	41	20	constriction	constriction	NOUN
ejpam-4245	41	21	.	.	PUNCT
ejpam-4245	42	1	the	the	DET
ejpam-4245	42	2	study	study	NOUN
ejpam-4245	42	3	found	find	VERB
ejpam-4245	42	4	theoretical	theoretical	ADJ
ejpam-4245	42	5	results	result	NOUN
ejpam-4245	42	6	for	for	ADP
ejpam-4245	42	7	velocity	velocity	NOUN
ejpam-4245	42	8	distribution	distribution	NOUN
ejpam-4245	42	9	,	,	PUNCT
ejpam-4245	42	10	wall	wall	NOUN
ejpam-4245	42	11	shearing	shear	VERB
ejpam-4245	42	12	stress	stress	NOUN
ejpam-4245	42	13	,	,	PUNCT
ejpam-4245	42	14	pressure	pressure	NOUN
ejpam-4245	42	15	drop	drop	NOUN
ejpam-4245	42	16	and	and	CCONJ
ejpam-4245	42	17	separation	separation	NOUN
ejpam-4245	42	18	phenomena	phenomenon	NOUN
ejpam-4245	42	19	for	for	ADP
ejpam-4245	42	20	both	both	CCONJ
ejpam-4245	42	21	mild	mild	ADJ
ejpam-4245	42	22	and	and	CCONJ
ejpam-4245	42	23	severe	severe	ADJ
ejpam-4245	42	24	stenosis	stenosis	NOUN
ejpam-4245	42	25	for	for	ADP
ejpam-4245	42	26	reynolds	reynold	NOUN
ejpam-4245	42	27	numbers	number	NOUN
ejpam-4245	42	28	below	below	ADP
ejpam-4245	42	29	transition	transition	NOUN
ejpam-4245	42	30	.	.	PUNCT
ejpam-4245	43	1	the	the	DET
ejpam-4245	43	2	results	result	NOUN
ejpam-4245	43	3	reveal	reveal	VERB
ejpam-4245	43	4	significant	significant	ADJ
ejpam-4245	43	5	alterations	alteration	NOUN
ejpam-4245	43	6	in	in	ADP
ejpam-4245	43	7	flow	flow	NOUN
ejpam-4245	43	8	caused	cause	VERB
ejpam-4245	43	9	by	by	ADP
ejpam-4245	43	10	stenosis	stenosis	NOUN
ejpam-4245	43	11	.	.	PUNCT
ejpam-4245	44	1	a	a	DET
ejpam-4245	44	2	detailed	detailed	ADJ
ejpam-4245	44	3	description	description	NOUN
ejpam-4245	44	4	is	be	AUX
ejpam-4245	44	5	given	give	VERB
ejpam-4245	44	6	in	in	ADP
ejpam-4245	44	7	[	[	X
ejpam-4245	44	8	6	6	NUM
ejpam-4245	44	9	]	]	PUNCT
ejpam-4245	44	10	of	of	ADP
ejpam-4245	44	11	the	the	DET
ejpam-4245	44	12	effect	effect	NOUN
ejpam-4245	44	13	of	of	ADP
ejpam-4245	44	14	varying	vary	VERB
ejpam-4245	44	15	degrees	degree	NOUN
ejpam-4245	44	16	of	of	ADP
ejpam-4245	44	17	stenosis	stenosis	NOUN
ejpam-4245	44	18	on	on	ADP
ejpam-4245	44	19	arterial	arterial	ADJ
ejpam-4245	44	20	pulsatile	pulsatile	NOUN
ejpam-4245	44	21	waveforms	waveform	NOUN
ejpam-4245	44	22	.	.	PUNCT
ejpam-4245	45	1	blood	blood	NOUN
ejpam-4245	45	2	flow	flow	NOUN
ejpam-4245	45	3	measurements	measurement	NOUN
ejpam-4245	45	4	were	be	AUX
ejpam-4245	45	5	made	make	VERB
ejpam-4245	45	6	using	use	VERB
ejpam-4245	45	7	the	the	DET
ejpam-4245	45	8	electromagnetic	electromagnetic	ADJ
ejpam-4245	45	9	blood	blood	NOUN
ejpam-4245	45	10	flow	flow	NOUN
ejpam-4245	45	11	j.	j.	PROPN
ejpam-4245	45	12	tsetimi	tsetimi	PROPN
ejpam-4245	45	13	,	,	PUNCT
ejpam-4245	45	14	e.	e.	PROPN
ejpam-4245	45	15	j.	j.	PROPN
ejpam-4245	45	16	mamadu	mamadu	PROPN
ejpam-4245	45	17	/	/	SYM
ejpam-4245	45	18	eur	eur	PROPN
ejpam-4245	45	19	.	.	PUNCT
ejpam-4245	46	1	j.	j.	PROPN
ejpam-4245	46	2	pure	pure	PROPN
ejpam-4245	46	3	appl	appl	PROPN
ejpam-4245	46	4	.	.	PROPN
ejpam-4245	46	5	math	math	PROPN
ejpam-4245	46	6	,	,	PUNCT
ejpam-4245	46	7	15	15	NUM
ejpam-4245	46	8	(	(	PUNCT
ejpam-4245	46	9	1	1	NUM
ejpam-4245	46	10	)	)	PUNCT
ejpam-4245	46	11	(	(	PUNCT
ejpam-4245	46	12	2022	2022	NUM
ejpam-4245	46	13	)	)	PUNCT
ejpam-4245	46	14	,	,	PUNCT
ejpam-4245	46	15	314	314	NUM
ejpam-4245	46	16	-	-	SYM
ejpam-4245	46	17	327	327	NUM
ejpam-4245	46	18	316	316	NUM
ejpam-4245	46	19	meter	meter	NOUN
ejpam-4245	46	20	proximal	proximal	ADJ
ejpam-4245	46	21	and	and	CCONJ
ejpam-4245	46	22	distal	distal	ADJ
ejpam-4245	46	23	to	to	ADP
ejpam-4245	46	24	the	the	DET
ejpam-4245	46	25	stenosis	stenosis	NOUN
ejpam-4245	46	26	.	.	PUNCT
ejpam-4245	47	1	kapur	kapur	PROPN
ejpam-4245	48	1	[	[	X
ejpam-4245	48	2	7	7	X
ejpam-4245	48	3	]	]	PUNCT
ejpam-4245	48	4	gave	give	VERB
ejpam-4245	48	5	a	a	DET
ejpam-4245	48	6	survey	survey	NOUN
ejpam-4245	48	7	on	on	ADP
ejpam-4245	48	8	some	some	DET
ejpam-4245	48	9	mathematical	mathematical	ADJ
ejpam-4245	48	10	models	model	NOUN
ejpam-4245	48	11	for	for	ADP
ejpam-4245	48	12	the	the	DET
ejpam-4245	48	13	problems	problem	NOUN
ejpam-4245	48	14	–	–	PUNCT
ejpam-4245	48	15	pulsatile	pulsatile	VERB
ejpam-4245	48	16	blood	blood	NOUN
ejpam-4245	48	17	flows	flow	VERB
ejpam-4245	48	18	in	in	ADP
ejpam-4245	48	19	rigid	rigid	ADJ
ejpam-4245	48	20	and	and	CCONJ
ejpam-4245	48	21	elastic	elastic	ADJ
ejpam-4245	48	22	tubes	tube	NOUN
ejpam-4245	48	23	,	,	PUNCT
ejpam-4245	48	24	flow	flow	NOUN
ejpam-4245	48	25	of	of	ADP
ejpam-4245	48	26	blood	blood	NOUN
ejpam-4245	48	27	in	in	ADP
ejpam-4245	48	28	arteries	artery	NOUN
ejpam-4245	48	29	with	with	ADP
ejpam-4245	48	30	stenosis	stenosis	NOUN
ejpam-4245	48	31	etc	etc	X
ejpam-4245	48	32	.	.	X
ejpam-4245	49	1	pralhad	pralhad	VERB
ejpam-4245	49	2	and	and	CCONJ
ejpam-4245	49	3	schultz	schultz	PROPN
ejpam-4245	50	1	[	[	X
ejpam-4245	50	2	8	8	NUM
ejpam-4245	50	3	]	]	PUNCT
ejpam-4245	50	4	presented	present	VERB
ejpam-4245	50	5	a	a	DET
ejpam-4245	50	6	blood	blood	NOUN
ejpam-4245	50	7	flow	flow	NOUN
ejpam-4245	50	8	model	model	NOUN
ejpam-4245	50	9	in	in	ADP
ejpam-4245	50	10	a	a	DET
ejpam-4245	50	11	stenosed	stenose	VERB
ejpam-4245	50	12	tube	tube	NOUN
ejpam-4245	50	13	by	by	ADP
ejpam-4245	50	14	representing	represent	VERB
ejpam-4245	50	15	blood	blood	NOUN
ejpam-4245	50	16	flow	flow	NOUN
ejpam-4245	50	17	by	by	ADP
ejpam-4245	50	18	a	a	DET
ejpam-4245	50	19	couple	couple	NOUN
ejpam-4245	50	20	stress	stress	NOUN
ejpam-4245	50	21	fluid	fluid	NOUN
ejpam-4245	50	22	.	.	PUNCT
ejpam-4245	51	1	the	the	DET
ejpam-4245	51	2	study	study	NOUN
ejpam-4245	51	3	found	find	VERB
ejpam-4245	51	4	expressions	expression	NOUN
ejpam-4245	51	5	for	for	ADP
ejpam-4245	51	6	flow	flow	NOUN
ejpam-4245	51	7	parameters	parameter	NOUN
ejpam-4245	51	8	such	such	ADJ
ejpam-4245	51	9	as	as	ADP
ejpam-4245	51	10	velocity	velocity	NOUN
ejpam-4245	51	11	,	,	PUNCT
ejpam-4245	51	12	resistance	resistance	NOUN
ejpam-4245	51	13	to	to	PART
ejpam-4245	51	14	flow	flow	VERB
ejpam-4245	51	15	,	,	PUNCT
ejpam-4245	51	16	and	and	CCONJ
ejpam-4245	51	17	shear	shear	NOUN
ejpam-4245	51	18	stress	stress	NOUN
ejpam-4245	51	19	.	.	PUNCT
ejpam-4245	52	1	the	the	DET
ejpam-4245	52	2	results	result	NOUN
ejpam-4245	52	3	compared	compare	VERB
ejpam-4245	52	4	with	with	ADP
ejpam-4245	52	5	the	the	DET
ejpam-4245	52	6	case	case	NOUN
ejpam-4245	52	7	of	of	ADP
ejpam-4245	52	8	normal	normal	ADJ
ejpam-4245	52	9	blood	blood	NOUN
ejpam-4245	52	10	and	and	CCONJ
ejpam-4245	52	11	other	other	ADJ
ejpam-4245	52	12	models	model	NOUN
ejpam-4245	52	13	.	.	PUNCT
ejpam-4245	53	1	ponalgusam	ponalgusam	NOUN
ejpam-4245	54	1	[	[	X
ejpam-4245	54	2	9	9	NUM
ejpam-4245	54	3	]	]	PUNCT
ejpam-4245	54	4	presented	present	VERB
ejpam-4245	54	5	a	a	DET
ejpam-4245	54	6	study	study	NOUN
ejpam-4245	54	7	on	on	ADP
ejpam-4245	54	8	the	the	DET
ejpam-4245	54	9	effects	effect	NOUN
ejpam-4245	54	10	of	of	ADP
ejpam-4245	54	11	slip	slip	NOUN
ejpam-4245	54	12	(	(	PUNCT
ejpam-4245	54	13	at	at	ADP
ejpam-4245	54	14	the	the	DET
ejpam-4245	54	15	stenotic	stenotic	ADJ
ejpam-4245	54	16	wall	wall	NOUN
ejpam-4245	54	17	)	)	PUNCT
ejpam-4245	54	18	and	and	CCONJ
ejpam-4245	54	19	the	the	DET
ejpam-4245	54	20	influence	influence	NOUN
ejpam-4245	54	21	of	of	ADP
ejpam-4245	54	22	body	body	NOUN
ejpam-4245	54	23	acceleration	acceleration	NOUN
ejpam-4245	54	24	on	on	ADP
ejpam-4245	54	25	the	the	DET
ejpam-4245	54	26	flow	flow	NOUN
ejpam-4245	54	27	variables	variable	NOUN
ejpam-4245	54	28	such	such	ADJ
ejpam-4245	54	29	as	as	ADP
ejpam-4245	54	30	velocity	velocity	NOUN
ejpam-4245	54	31	profiles	profile	NOUN
ejpam-4245	54	32	,	,	PUNCT
ejpam-4245	54	33	shear	shear	NOUN
ejpam-4245	54	34	stress	stress	NOUN
ejpam-4245	54	35	,	,	PUNCT
ejpam-4245	54	36	flow	flow	NOUN
ejpam-4245	54	37	rate	rate	NOUN
ejpam-4245	54	38	and	and	CCONJ
ejpam-4245	54	39	effective	effective	ADJ
ejpam-4245	54	40	viscosity	viscosity	NOUN
ejpam-4245	54	41	for	for	ADP
ejpam-4245	54	42	pulsatile	pulsatile	NOUN
ejpam-4245	54	43	newtonian	newtonian	ADJ
ejpam-4245	54	44	blood	blood	NOUN
ejpam-4245	54	45	flow	flow	NOUN
ejpam-4245	54	46	through	through	ADP
ejpam-4245	54	47	a	a	DET
ejpam-4245	54	48	stenosed	stenosed	ADJ
ejpam-4245	54	49	vessel	vessel	NOUN
ejpam-4245	54	50	.	.	PUNCT
ejpam-4245	55	1	verma	verma	PROPN
ejpam-4245	56	1	[	[	X
ejpam-4245	56	2	10	10	NUM
ejpam-4245	56	3	]	]	PUNCT
ejpam-4245	56	4	has	have	AUX
ejpam-4245	56	5	proposed	propose	VERB
ejpam-4245	56	6	the	the	DET
ejpam-4245	56	7	study	study	NOUN
ejpam-4245	56	8	of	of	ADP
ejpam-4245	56	9	the	the	DET
ejpam-4245	56	10	effect	effect	NOUN
ejpam-4245	56	11	of	of	ADP
ejpam-4245	56	12	mild	mild	ADJ
ejpam-4245	56	13	stenosis	stenosis	NOUN
ejpam-4245	56	14	on	on	ADP
ejpam-4245	56	15	the	the	DET
ejpam-4245	56	16	flow	flow	NOUN
ejpam-4245	56	17	of	of	ADP
ejpam-4245	56	18	blood	blood	NOUN
ejpam-4245	56	19	represented	represent	VERB
ejpam-4245	56	20	as	as	ADP
ejpam-4245	56	21	a	a	DET
ejpam-4245	56	22	newtonian	newtonian	ADJ
ejpam-4245	56	23	fluid	fluid	NOUN
ejpam-4245	56	24	,	,	PUNCT
ejpam-4245	56	25	by	by	ADP
ejpam-4245	56	26	using	use	VERB
ejpam-4245	56	27	the	the	DET
ejpam-4245	56	28	momentum	momentum	NOUN
ejpam-4245	56	29	integral	integral	ADJ
ejpam-4245	56	30	techniques	technique	NOUN
ejpam-4245	56	31	to	to	PART
ejpam-4245	56	32	solve	solve	VERB
ejpam-4245	56	33	the	the	DET
ejpam-4245	56	34	equation	equation	NOUN
ejpam-4245	56	35	governing	govern	VERB
ejpam-4245	56	36	the	the	DET
ejpam-4245	56	37	flow	flow	NOUN
ejpam-4245	56	38	.	.	PUNCT
ejpam-4245	57	1	the	the	DET
ejpam-4245	57	2	study	study	NOUN
ejpam-4245	57	3	found	find	VERB
ejpam-4245	57	4	analytic	analytic	ADJ
ejpam-4245	57	5	expressions	expression	NOUN
ejpam-4245	57	6	for	for	ADP
ejpam-4245	57	7	the	the	DET
ejpam-4245	57	8	pressure	pressure	NOUN
ejpam-4245	57	9	gradient	gradient	NOUN
ejpam-4245	57	10	,	,	PUNCT
ejpam-4245	57	11	velocity	velocity	NOUN
ejpam-4245	57	12	profile	profile	NOUN
ejpam-4245	57	13	,	,	PUNCT
ejpam-4245	57	14	shearing	shear	VERB
ejpam-4245	57	15	stress	stress	NOUN
ejpam-4245	57	16	and	and	CCONJ
ejpam-4245	57	17	separation	separation	NOUN
ejpam-4245	57	18	phenomena	phenomenon	NOUN
ejpam-4245	57	19	at	at	ADP
ejpam-4245	57	20	varying	vary	VERB
ejpam-4245	57	21	reynolds	reynold	NOUN
ejpam-4245	57	22	number	number	NOUN
ejpam-4245	57	23	.	.	PUNCT
ejpam-4245	58	1	in	in	ADP
ejpam-4245	58	2	this	this	DET
ejpam-4245	58	3	work	work	NOUN
ejpam-4245	58	4	,	,	PUNCT
ejpam-4245	58	5	we	we	PRON
ejpam-4245	58	6	study	study	VERB
ejpam-4245	58	7	the	the	DET
ejpam-4245	58	8	two	two	NUM
ejpam-4245	58	9	dimensional	dimensional	ADJ
ejpam-4245	58	10	steady	steady	ADJ
ejpam-4245	58	11	,	,	PUNCT
ejpam-4245	58	12	incompressible	incompressible	ADJ
ejpam-4245	58	13	newtonian	newtonian	ADJ
ejpam-4245	58	14	laminar	laminar	ADJ
ejpam-4245	58	15	flow	flow	NOUN
ejpam-4245	58	16	of	of	ADP
ejpam-4245	58	17	blood	blood	NOUN
ejpam-4245	58	18	through	through	ADP
ejpam-4245	58	19	a	a	DET
ejpam-4245	58	20	stenosed	stenosed	ADJ
ejpam-4245	58	21	(	(	PUNCT
ejpam-4245	58	22	constricted	constrict	VERB
ejpam-4245	58	23	)	)	PUNCT
ejpam-4245	58	24	artery	artery	NOUN
ejpam-4245	58	25	using	use	VERB
ejpam-4245	58	26	the	the	DET
ejpam-4245	58	27	variational	variational	ADJ
ejpam-4245	58	28	iteration	iteration	NOUN
ejpam-4245	58	29	method	method	NOUN
ejpam-4245	58	30	(	(	PUNCT
ejpam-4245	58	31	vim	vim	NOUN
ejpam-4245	58	32	)	)	PUNCT
ejpam-4245	58	33	.	.	PUNCT
ejpam-4245	59	1	several	several	ADJ
ejpam-4245	59	2	methods	method	NOUN
ejpam-4245	59	3	have	have	AUX
ejpam-4245	59	4	recently	recently	ADV
ejpam-4245	59	5	been	be	AUX
ejpam-4245	59	6	introduced	introduce	VERB
ejpam-4245	59	7	to	to	PART
ejpam-4245	59	8	solve	solve	VERB
ejpam-4245	59	9	the	the	DET
ejpam-4245	59	10	governing	govern	VERB
ejpam-4245	59	11	equations	equation	NOUN
ejpam-4245	59	12	of	of	ADP
ejpam-4245	59	13	blood	blood	NOUN
ejpam-4245	59	14	flow	flow	NOUN
ejpam-4245	59	15	such	such	ADJ
ejpam-4245	59	16	as	as	ADP
ejpam-4245	59	17	the	the	DET
ejpam-4245	59	18	homotopy	homotopy	NOUN
ejpam-4245	59	19	analysis	analysis	NOUN
ejpam-4245	59	20	,	,	PUNCT
ejpam-4245	59	21	perturbation	perturbation	NOUN
ejpam-4245	59	22	analysis	analysis	NOUN
ejpam-4245	59	23	,	,	PUNCT
ejpam-4245	59	24	momentum	momentum	NOUN
ejpam-4245	59	25	integral	integral	ADJ
ejpam-4245	59	26	techniques	technique	NOUN
ejpam-4245	59	27	,	,	PUNCT
ejpam-4245	59	28	the	the	DET
ejpam-4245	59	29	galerkin	galerkin	ADJ
ejpam-4245	59	30	finite	finite	PROPN
ejpam-4245	59	31	element	element	PROPN
ejpam-4245	59	32	method	method	NOUN
ejpam-4245	59	33	etc	etc	X
ejpam-4245	59	34	.	.	PUNCT
ejpam-4245	60	1	the	the	DET
ejpam-4245	60	2	variational	variational	ADJ
ejpam-4245	60	3	iteration	iteration	NOUN
ejpam-4245	60	4	method	method	NOUN
ejpam-4245	60	5	(	(	PUNCT
ejpam-4245	60	6	as	as	SCONJ
ejpam-4245	60	7	proposed	propose	VERB
ejpam-4245	60	8	by	by	ADP
ejpam-4245	60	9	[	[	X
ejpam-4245	60	10	11	11	NUM
ejpam-4245	60	11	]	]	PUNCT
ejpam-4245	60	12	in	in	ADP
ejpam-4245	60	13	1999	1999	NUM
ejpam-4245	60	14	)	)	PUNCT
ejpam-4245	60	15	is	be	AUX
ejpam-4245	60	16	capable	capable	ADJ
ejpam-4245	60	17	of	of	ADP
ejpam-4245	60	18	solving	solve	VERB
ejpam-4245	60	19	the	the	DET
ejpam-4245	60	20	non	non	ADJ
ejpam-4245	60	21	-	-	ADJ
ejpam-4245	60	22	linear	linear	ADJ
ejpam-4245	60	23	governing	govern	VERB
ejpam-4245	60	24	equations	equation	NOUN
ejpam-4245	60	25	of	of	ADP
ejpam-4245	60	26	the	the	DET
ejpam-4245	60	27	newtonian	newtonian	ADJ
ejpam-4245	60	28	blood	blood	NOUN
ejpam-4245	60	29	flow	flow	NOUN
ejpam-4245	60	30	.	.	PUNCT
ejpam-4245	61	1	2	2	X
ejpam-4245	61	2	.	.	X
ejpam-4245	61	3	flow	flow	NOUN
ejpam-4245	61	4	geometry	geometry	NOUN
ejpam-4245	61	5	in	in	ADP
ejpam-4245	61	6	this	this	DET
ejpam-4245	61	7	section	section	NOUN
ejpam-4245	61	8	,	,	PUNCT
ejpam-4245	61	9	we	we	PRON
ejpam-4245	61	10	study	study	VERB
ejpam-4245	61	11	the	the	DET
ejpam-4245	61	12	axisymmetry	axisymmetry	NOUN
ejpam-4245	61	13	steady	steady	ADJ
ejpam-4245	61	14	flow	flow	NOUN
ejpam-4245	61	15	in	in	ADP
ejpam-4245	61	16	a	a	DET
ejpam-4245	61	17	stenotic	stenotic	ADJ
ejpam-4245	61	18	tube	tube	NOUN
ejpam-4245	61	19	.	.	PUNCT
ejpam-4245	62	1	for	for	ADP
ejpam-4245	62	2	clarity	clarity	NOUN
ejpam-4245	62	3	of	of	ADP
ejpam-4245	62	4	purpose	purpose	NOUN
ejpam-4245	62	5	,	,	PUNCT
ejpam-4245	62	6	we	we	PRON
ejpam-4245	62	7	assumed	assume	VERB
ejpam-4245	62	8	the	the	DET
ejpam-4245	62	9	blood	blood	NOUN
ejpam-4245	62	10	flow	flow	NOUN
ejpam-4245	62	11	to	to	PART
ejpam-4245	62	12	be	be	AUX
ejpam-4245	62	13	laminar	laminar	ADJ
ejpam-4245	62	14	,	,	PUNCT
ejpam-4245	62	15	two	two	NUM
ejpam-4245	62	16	dimensional	dimensional	ADJ
ejpam-4245	62	17	,	,	PUNCT
ejpam-4245	62	18	viscous	viscous	ADJ
ejpam-4245	62	19	,	,	PUNCT
ejpam-4245	62	20	fully	fully	ADV
ejpam-4245	62	21	developed	develop	VERB
ejpam-4245	62	22	,	,	PUNCT
ejpam-4245	62	23	incompressible	incompressible	ADJ
ejpam-4245	62	24	and	and	CCONJ
ejpam-4245	62	25	newtonian	newtonian	ADJ
ejpam-4245	62	26	flow	flow	NOUN
ejpam-4245	62	27	through	through	ADP
ejpam-4245	62	28	an	an	DET
ejpam-4245	62	29	artery	artery	NOUN
ejpam-4245	62	30	with	with	ADP
ejpam-4245	62	31	a	a	DET
ejpam-4245	62	32	mild	mild	ADJ
ejpam-4245	62	33	stenosis	stenosis	NOUN
ejpam-4245	62	34	(	(	PUNCT
ejpam-4245	62	35	constriction	constriction	NOUN
ejpam-4245	62	36	)	)	PUNCT
ejpam-4245	62	37	.	.	PUNCT
ejpam-4245	63	1	j.	j.	PROPN
ejpam-4245	63	2	tsetimi	tsetimi	PROPN
ejpam-4245	63	3	,	,	PUNCT
ejpam-4245	63	4	e.	e.	PROPN
ejpam-4245	63	5	j.	j.	PROPN
ejpam-4245	63	6	mamadu	mamadu	PROPN
ejpam-4245	63	7	/	/	SYM
ejpam-4245	63	8	eur	eur	PROPN
ejpam-4245	63	9	.	.	PUNCT
ejpam-4245	64	1	j.	j.	PROPN
ejpam-4245	64	2	pure	pure	PROPN
ejpam-4245	64	3	appl	appl	PROPN
ejpam-4245	64	4	.	.	PROPN
ejpam-4245	64	5	math	math	PROPN
ejpam-4245	64	6	,	,	PUNCT
ejpam-4245	64	7	15	15	NUM
ejpam-4245	64	8	(	(	PUNCT
ejpam-4245	64	9	1	1	NUM
ejpam-4245	64	10	)	)	PUNCT
ejpam-4245	64	11	(	(	PUNCT
ejpam-4245	64	12	2022	2022	NUM
ejpam-4245	64	13	)	)	PUNCT
ejpam-4245	64	14	,	,	PUNCT
ejpam-4245	64	15	314	314	NUM
ejpam-4245	64	16	-	-	SYM
ejpam-4245	64	17	327	327	NUM
ejpam-4245	64	18	317	317	NUM
ejpam-4245	64	19	3	3	NUM
ejpam-4245	64	20	.	.	PUNCT
ejpam-4245	64	21	flow	flow	NOUN
ejpam-4245	64	22	analysis	analysis	NOUN
ejpam-4245	64	23	and	and	CCONJ
ejpam-4245	64	24	co	co	NOUN
ejpam-4245	64	25	-	-	ADJ
ejpam-4245	64	26	ordinate	ordinate	ADJ
ejpam-4245	64	27	system	system	NOUN
ejpam-4245	64	28	the	the	DET
ejpam-4245	64	29	constricted	constrict	VERB
ejpam-4245	64	30	wall	wall	NOUN
ejpam-4245	64	31	of	of	ADP
ejpam-4245	64	32	this	this	DET
ejpam-4245	64	33	artery	artery	NOUN
ejpam-4245	64	34	is	be	AUX
ejpam-4245	64	35	assumed	assume	VERB
ejpam-4245	64	36	to	to	PART
ejpam-4245	64	37	be	be	AUX
ejpam-4245	64	38	rigid	rigid	ADJ
ejpam-4245	64	39	and	and	CCONJ
ejpam-4245	64	40	impermeable	impermeable	ADJ
ejpam-4245	64	41	.	.	PUNCT
ejpam-4245	65	1	the	the	DET
ejpam-4245	65	2	equation	equation	NOUN
ejpam-4245	65	3	of	of	ADP
ejpam-4245	65	4	the	the	DET
ejpam-4245	65	5	stenosis	stenosis	NOUN
ejpam-4245	65	6	surface	surface	NOUN
ejpam-4245	65	7	in	in	ADP
ejpam-4245	65	8	figure	figure	NOUN
ejpam-4245	65	9	1	1	NUM
ejpam-4245	65	10	is	be	AUX
ejpam-4245	65	11	mathematically	mathematically	ADV
ejpam-4245	65	12	modeled	model	VERB
ejpam-4245	65	13	[	[	PUNCT
ejpam-4245	65	14	4	4	NUM
ejpam-4245	65	15	]	]	PUNCT
ejpam-4245	65	16	as	as	ADP
ejpam-4245	65	17	r̃	r̃	ADJ
ejpam-4245	65	18	˜(z	˜(z	PROPN
ejpam-4245	65	19	)	)	PUNCT
ejpam-4245	66	1	=	=	SYM
ejpam-4245	66	2	r0	r0	NOUN
ejpam-4245	66	3	−	−	NOUN
ejpam-4245	66	4	δ̃	δ̃	PROPN
ejpam-4245	66	5	2	2	NUM
ejpam-4245	66	6	(	(	PUNCT
ejpam-4245	66	7	1	1	NUM
ejpam-4245	66	8	+	+	CCONJ
ejpam-4245	66	9	cos	cos	PROPN
ejpam-4245	66	10	2π	2π	PROPN
ejpam-4245	66	11	l0	l0	NOUN
ejpam-4245	66	12	z̃	z̃	PROPN
ejpam-4245	66	13	)	)	PUNCT
ejpam-4245	66	14	(	(	PUNCT
ejpam-4245	66	15	1	1	X
ejpam-4245	66	16	)	)	PUNCT
ejpam-4245	66	17	where	where	SCONJ
ejpam-4245	66	18	,	,	PUNCT
ejpam-4245	66	19	r̃(z	r̃(z	PROPN
ejpam-4245	66	20	):	):	PUNCT
ejpam-4245	66	21	the	the	DET
ejpam-4245	66	22	radius	radius	NOUN
ejpam-4245	66	23	of	of	ADP
ejpam-4245	66	24	the	the	DET
ejpam-4245	66	25	artery	artery	NOUN
ejpam-4245	66	26	in	in	ADP
ejpam-4245	66	27	the	the	DET
ejpam-4245	66	28	stenotic	stenotic	ADJ
ejpam-4245	66	29	region	region	NOUN
ejpam-4245	66	30	.	.	PUNCT
ejpam-4245	67	1	r0	r0	NOUN
ejpam-4245	67	2	:	:	PUNCT
ejpam-4245	67	3	the	the	DET
ejpam-4245	67	4	constant	constant	ADJ
ejpam-4245	67	5	radius	radius	NOUN
ejpam-4245	67	6	of	of	ADP
ejpam-4245	67	7	the	the	DET
ejpam-4245	67	8	normal	normal	ADJ
ejpam-4245	67	9	artery	artery	NOUN
ejpam-4245	67	10	in	in	ADP
ejpam-4245	67	11	the	the	DET
ejpam-4245	67	12	non	non	ADJ
ejpam-4245	67	13	-	-	ADJ
ejpam-4245	67	14	stenotic	stenotic	ADJ
ejpam-4245	67	15	region	region	NOUN
ejpam-4245	67	16	.	.	PUNCT
ejpam-4245	68	1	l	l	NOUN
ejpam-4245	68	2	:	:	PUNCT
ejpam-4245	68	3	the	the	DET
ejpam-4245	68	4	length	length	NOUN
ejpam-4245	68	5	of	of	ADP
ejpam-4245	68	6	the	the	DET
ejpam-4245	68	7	artery	artery	NOUN
ejpam-4245	68	8	.	.	PUNCT
ejpam-4245	69	1	l̃0	l̃0	NOUN
ejpam-4245	69	2	:	:	PUNCT
ejpam-4245	69	3	the	the	DET
ejpam-4245	69	4	length	length	NOUN
ejpam-4245	69	5	of	of	ADP
ejpam-4245	69	6	the	the	DET
ejpam-4245	69	7	stenosis	stenosis	NOUN
ejpam-4245	69	8	.	.	PUNCT
ejpam-4245	70	1	z̃	z̃	NOUN
ejpam-4245	70	2	:	:	PUNCT
ejpam-4245	70	3	the	the	DET
ejpam-4245	70	4	axial	axial	ADJ
ejpam-4245	70	5	coordinate	coordinate	NOUN
ejpam-4245	70	6	.	.	PUNCT
ejpam-4245	71	1	δ̃	δ̃	PROPN
ejpam-4245	71	2	:	:	PUNCT
ejpam-4245	71	3	the	the	DET
ejpam-4245	71	4	maximum	maximum	ADJ
ejpam-4245	71	5	height	height	NOUN
ejpam-4245	71	6	of	of	ADP
ejpam-4245	71	7	the	the	DET
ejpam-4245	71	8	stenosis	stenosis	NOUN
ejpam-4245	71	9	.	.	PUNCT
ejpam-4245	72	1	note	note	NOUN
ejpam-4245	72	2	:	:	PUNCT
ejpam-4245	72	3	(	(	PUNCT
ejpam-4245	72	4	∼	∼	NOUN
ejpam-4245	72	5	)	)	PUNCT
ejpam-4245	72	6	represents	represent	VERB
ejpam-4245	72	7	dimensional	dimensional	ADJ
ejpam-4245	72	8	variables	variable	NOUN
ejpam-4245	72	9	which	which	PRON
ejpam-4245	72	10	make	make	VERB
ejpam-4245	72	11	it	it	PRON
ejpam-4245	72	12	different	different	ADJ
ejpam-4245	72	13	from	from	ADP
ejpam-4245	72	14	the	the	DET
ejpam-4245	72	15	corresponding	corresponding	ADJ
ejpam-4245	72	16	dimensionless	dimensionless	NOUN
ejpam-4245	72	17	variables	variable	NOUN
ejpam-4245	72	18	.	.	PUNCT
ejpam-4245	73	1	blood	blood	NOUN
ejpam-4245	73	2	flow	flow	NOUN
ejpam-4245	73	3	has	have	AUX
ejpam-4245	73	4	been	be	AUX
ejpam-4245	73	5	assumed	assume	VERB
ejpam-4245	73	6	to	to	PART
ejpam-4245	73	7	be	be	AUX
ejpam-4245	73	8	a	a	DET
ejpam-4245	73	9	homogeneous	homogeneous	ADJ
ejpam-4245	73	10	newtonian	newtonian	ADJ
ejpam-4245	73	11	fluid	fluid	NOUN
ejpam-4245	73	12	and	and	CCONJ
ejpam-4245	73	13	the	the	DET
ejpam-4245	73	14	flow	flow	NOUN
ejpam-4245	73	15	is	be	AUX
ejpam-4245	73	16	in	in	ADP
ejpam-4245	73	17	two	two	NUM
ejpam-4245	73	18	dimensions	dimension	NOUN
ejpam-4245	73	19	,	,	PUNCT
ejpam-4245	73	20	in	in	ADP
ejpam-4245	73	21	axial	axial	ADJ
ejpam-4245	73	22	and	and	CCONJ
ejpam-4245	73	23	radial	radial	ADJ
ejpam-4245	73	24	directions	direction	NOUN
ejpam-4245	73	25	(	(	PUNCT
ejpam-4245	73	26	coordinates	coordinate	NOUN
ejpam-4245	73	27	)	)	PUNCT
ejpam-4245	73	28	.	.	PUNCT
ejpam-4245	74	1	the	the	DET
ejpam-4245	74	2	incompressible	incompressible	ADJ
ejpam-4245	74	3	navierstokes	navierstoke	NOUN
ejpam-4245	74	4	equations	equation	NOUN
ejpam-4245	74	5	along	along	ADP
ejpam-4245	74	6	with	with	ADP
ejpam-4245	74	7	the	the	DET
ejpam-4245	74	8	continuity	continuity	NOUN
ejpam-4245	74	9	equations	equation	NOUN
ejpam-4245	74	10	have	have	AUX
ejpam-4245	74	11	been	be	AUX
ejpam-4245	74	12	used	use	VERB
ejpam-4245	74	13	as	as	ADP
ejpam-4245	74	14	the	the	DET
ejpam-4245	74	15	governing	govern	VERB
ejpam-4245	74	16	equations	equation	NOUN
ejpam-4245	74	17	for	for	ADP
ejpam-4245	74	18	modeling	model	VERB
ejpam-4245	74	19	the	the	DET
ejpam-4245	74	20	fluid	fluid	ADJ
ejpam-4245	74	21	flow	flow	NOUN
ejpam-4245	74	22	.	.	PUNCT
ejpam-4245	75	1	since	since	SCONJ
ejpam-4245	75	2	the	the	DET
ejpam-4245	75	3	tube	tube	NOUN
ejpam-4245	75	4	carries	carry	VERB
ejpam-4245	75	5	blood	blood	NOUN
ejpam-4245	75	6	in	in	ADP
ejpam-4245	75	7	horizontal	horizontal	ADJ
ejpam-4245	75	8	direction	direction	NOUN
ejpam-4245	75	9	,	,	PUNCT
ejpam-4245	75	10	we	we	PRON
ejpam-4245	75	11	neglect	neglect	VERB
ejpam-4245	75	12	gravity	gravity	NOUN
ejpam-4245	75	13	and	and	CCONJ
ejpam-4245	75	14	the	the	DET
ejpam-4245	75	15	navierstokes	navierstoke	NOUN
ejpam-4245	75	16	equation	equation	NOUN
ejpam-4245	75	17	for	for	ADP
ejpam-4245	75	18	a	a	DET
ejpam-4245	75	19	2	2	NUM
ejpam-4245	75	20	-	-	PUNCT
ejpam-4245	75	21	dimensional	dimensional	ADJ
ejpam-4245	75	22	steady	steady	ADJ
ejpam-4245	75	23	,	,	PUNCT
ejpam-4245	75	24	incompressible	incompressible	ADJ
ejpam-4245	75	25	laminar	laminar	ADJ
ejpam-4245	75	26	flow	flow	NOUN
ejpam-4245	75	27	takes	take	VERB
ejpam-4245	75	28	the	the	DET
ejpam-4245	75	29	form	form	NOUN
ejpam-4245	75	30	ũ	ũ	PROPN
ejpam-4245	75	31	∂ũ	∂ũ	NOUN
ejpam-4245	75	32	∂z̃	∂z̃	ADJ
ejpam-4245	75	33	+	+	NUM
ejpam-4245	75	34	ṽ	ṽ	PROPN
ejpam-4245	75	35	∂ũ	∂ũ	NOUN
ejpam-4245	75	36	∂γ̃	∂γ̃	PROPN
ejpam-4245	75	37	=	=	PUNCT
ejpam-4245	75	38	−1	−1	NOUN
ejpam-4245	75	39	ρ	ρ	PROPN
ejpam-4245	75	40	(	(	PUNCT
ejpam-4245	75	41	∂p̃	∂p̃	PROPN
ejpam-4245	75	42	∂z̃	∂z̃	NOUN
ejpam-4245	75	43	)	)	PUNCT
ejpam-4245	75	44	+	+	NUM
ejpam-4245	75	45	µ	µ	PROPN
ejpam-4245	75	46	ρ	ρ	NOUN
ejpam-4245	75	47	(	(	PUNCT
ejpam-4245	75	48	∂2ũ	∂2ũ	X
ejpam-4245	75	49	∂γ̃2	∂γ̃2	PROPN
ejpam-4245	76	1	+	+	CCONJ
ejpam-4245	76	2	1	1	NUM
ejpam-4245	76	3	γ	γ	X
ejpam-4245	76	4	∂ũ	∂ũ	PROPN
ejpam-4245	76	5	∂γ̃	∂γ̃	PROPN
ejpam-4245	76	6	+	+	PROPN
ejpam-4245	76	7	∂2ũ	∂2ũ	X
ejpam-4245	76	8	∂z̃2	∂z̃2	ADV
ejpam-4245	76	9	)	)	PUNCT
ejpam-4245	76	10	(	(	PUNCT
ejpam-4245	76	11	2	2	X
ejpam-4245	76	12	)	)	PUNCT
ejpam-4245	76	13	and	and	CCONJ
ejpam-4245	76	14	ũ	ũ	PROPN
ejpam-4245	76	15	∂ṽ	∂ṽ	ADP
ejpam-4245	76	16	∂z̃	∂z̃	NOUN
ejpam-4245	76	17	+	+	X
ejpam-4245	76	18	ṽ	ṽ	PROPN
ejpam-4245	76	19	∂ṽ	∂ṽ	ADJ
ejpam-4245	76	20	∂γ̃	∂γ̃	NOUN
ejpam-4245	76	21	=	=	SYM
ejpam-4245	76	22	−1	−1	NOUN
ejpam-4245	76	23	ρ	ρ	PROPN
ejpam-4245	76	24	(	(	PUNCT
ejpam-4245	76	25	∂p̃	∂p̃	PROPN
ejpam-4245	76	26	∂	∂	NUM
ejpam-4245	76	27	γ	γ	NOUN
ejpam-4245	76	28	)	)	PUNCT
ejpam-4245	76	29	+	+	NUM
ejpam-4245	76	30	µ	µ	PROPN
ejpam-4245	76	31	ρ	ρ	NOUN
ejpam-4245	76	32	(	(	PUNCT
ejpam-4245	76	33	∂2ṽ	∂2ṽ	NOUN
ejpam-4245	76	34	∂γ̃2	∂γ̃2	NOUN
ejpam-4245	77	1	+	+	CCONJ
ejpam-4245	77	2	1	1	NUM
ejpam-4245	77	3	γ	γ	NOUN
ejpam-4245	77	4	∂ṽ	∂ṽ	ADP
ejpam-4245	77	5	∂γ̃	∂γ̃	PROPN
ejpam-4245	77	6	+	+	X
ejpam-4245	77	7	∂2ṽ	∂2ṽ	NOUN
ejpam-4245	77	8	∂z̃2	∂z̃2	NOUN
ejpam-4245	77	9	−	−	PROPN
ejpam-4245	77	10	ṽ	ṽ	PROPN
ejpam-4245	77	11	γ̃2	γ̃2	PROPN
ejpam-4245	77	12	)	)	PUNCT
ejpam-4245	77	13	(	(	PUNCT
ejpam-4245	77	14	3	3	X
ejpam-4245	77	15	)	)	PUNCT
ejpam-4245	77	16	where	where	SCONJ
ejpam-4245	77	17	equation	equation	NOUN
ejpam-4245	77	18	(	(	PUNCT
ejpam-4245	77	19	2	2	NUM
ejpam-4245	77	20	)	)	PUNCT
ejpam-4245	77	21	and	and	CCONJ
ejpam-4245	77	22	(	(	PUNCT
ejpam-4245	77	23	3	3	X
ejpam-4245	77	24	)	)	PUNCT
ejpam-4245	77	25	are	be	AUX
ejpam-4245	77	26	in	in	ADP
ejpam-4245	77	27	the	the	DET
ejpam-4245	77	28	axial	axial	ADJ
ejpam-4245	77	29	and	and	CCONJ
ejpam-4245	77	30	radial	radial	ADJ
ejpam-4245	77	31	directions	direction	NOUN
ejpam-4245	77	32	respectively	respectively	ADV
ejpam-4245	77	33	.	.	PUNCT
ejpam-4245	78	1	also	also	ADV
ejpam-4245	78	2	,	,	PUNCT
ejpam-4245	78	3	for	for	ADP
ejpam-4245	78	4	2	2	NUM
ejpam-4245	78	5	-	-	PUNCT
ejpam-4245	78	6	dimensional	dimensional	ADJ
ejpam-4245	78	7	axisymmetric	axisymmetric	ADJ
ejpam-4245	78	8	geometries	geometry	NOUN
ejpam-4245	78	9	,	,	PUNCT
ejpam-4245	78	10	the	the	DET
ejpam-4245	78	11	continuity	continuity	NOUN
ejpam-4245	78	12	equation	equation	NOUN
ejpam-4245	78	13	is	be	AUX
ejpam-4245	78	14	given	give	VERB
ejpam-4245	78	15	by	by	ADP
ejpam-4245	78	16	∂ũ	∂ũ	PROPN
ejpam-4245	78	17	∂z̃	∂z̃	PUNCT
ejpam-4245	78	18	+	+	CCONJ
ejpam-4245	78	19	∂ṽ	∂ṽ	ADJ
ejpam-4245	78	20	∂γ̃	∂γ̃	PROPN
ejpam-4245	78	21	+	+	CCONJ
ejpam-4245	78	22	ṽ	ṽ	PROPN
ejpam-4245	78	23	γ̃	γ̃	PROPN
ejpam-4245	78	24	=	=	SYM
ejpam-4245	78	25	0	0	NUM
ejpam-4245	79	1	(	(	PUNCT
ejpam-4245	79	2	4	4	NUM
ejpam-4245	79	3	)	)	PUNCT
ejpam-4245	79	4	where	where	SCONJ
ejpam-4245	79	5	,	,	PUNCT
ejpam-4245	79	6	ũ	ũ	PROPN
ejpam-4245	79	7	is	be	AUX
ejpam-4245	79	8	the	the	DET
ejpam-4245	79	9	axial	axial	ADJ
ejpam-4245	79	10	velocity	velocity	NOUN
ejpam-4245	79	11	,	,	PUNCT
ejpam-4245	79	12	ṽ	ṽ	PROPN
ejpam-4245	79	13	is	be	AUX
ejpam-4245	79	14	the	the	DET
ejpam-4245	79	15	radial	radial	ADJ
ejpam-4245	79	16	velocity	velocity	NOUN
ejpam-4245	79	17	,	,	PUNCT
ejpam-4245	79	18	γ̃	γ̃	PROPN
ejpam-4245	79	19	is	be	AUX
ejpam-4245	79	20	the	the	DET
ejpam-4245	79	21	radial	radial	ADJ
ejpam-4245	79	22	coordinate	coordinate	NOUN
ejpam-4245	79	23	,	,	PUNCT
ejpam-4245	79	24	z̃	z̃	PROPN
ejpam-4245	79	25	is	be	AUX
ejpam-4245	79	26	the	the	DET
ejpam-4245	79	27	axial	axial	ADJ
ejpam-4245	79	28	coordinate	coordinate	NOUN
ejpam-4245	79	29	,	,	PUNCT
ejpam-4245	79	30	ρ	ρ	PROPN
ejpam-4245	79	31	is	be	AUX
ejpam-4245	79	32	the	the	DET
ejpam-4245	79	33	density	density	NOUN
ejpam-4245	79	34	,	,	PUNCT
ejpam-4245	79	35	ρ̃	ρ̃	PROPN
ejpam-4245	79	36	is	be	AUX
ejpam-4245	79	37	the	the	DET
ejpam-4245	79	38	blood	blood	NOUN
ejpam-4245	79	39	pressure	pressure	NOUN
ejpam-4245	79	40	and	and	CCONJ
ejpam-4245	79	41	µ	µ	NOUN
ejpam-4245	79	42	is	be	AUX
ejpam-4245	79	43	the	the	DET
ejpam-4245	79	44	viscosity	viscosity	NOUN
ejpam-4245	79	45	coefficient	coefficient	NOUN
ejpam-4245	79	46	of	of	ADP
ejpam-4245	79	47	blood	blood	NOUN
ejpam-4245	79	48	.	.	PUNCT
ejpam-4245	80	1	4	4	X
ejpam-4245	80	2	.	.	X
ejpam-4245	80	3	non	non	ADJ
ejpam-4245	80	4	-	-	ADJ
ejpam-4245	80	5	dimensional	dimensional	ADJ
ejpam-4245	80	6	variable	variable	ADJ
ejpam-4245	80	7	transformation	transformation	NOUN
ejpam-4245	80	8	we	we	PRON
ejpam-4245	80	9	introduce	introduce	VERB
ejpam-4245	80	10	the	the	DET
ejpam-4245	80	11	following	follow	VERB
ejpam-4245	80	12	non	non	ADJ
ejpam-4245	80	13	-	-	ADJ
ejpam-4245	80	14	dimensional	dimensional	ADJ
ejpam-4245	80	15	variables	variable	NOUN
ejpam-4245	80	16	using	use	VERB
ejpam-4245	80	17	the	the	DET
ejpam-4245	80	18	transformations	transformation	NOUN
ejpam-4245	80	19	ũ	ũ	PROPN
ejpam-4245	80	20	=	=	SYM
ejpam-4245	80	21	uũ0	uũ0	PROPN
ejpam-4245	80	22	,	,	PUNCT
ejpam-4245	80	23	ũ	ũ	PROPN
ejpam-4245	80	24	=	=	SYM
ejpam-4245	80	25	vũ0	vũ0	PROPN
ejpam-4245	80	26	,	,	PUNCT
ejpam-4245	80	27	z̃	z̃	PROPN
ejpam-4245	80	28	=	=	SYM
ejpam-4245	80	29	zr0	zr0	PROPN
ejpam-4245	80	30	,	,	PUNCT
ejpam-4245	80	31	γ̃	γ̃	PROPN
ejpam-4245	80	32	=	=	PUNCT
ejpam-4245	80	33	γr0	γr0	NOUN
ejpam-4245	80	34	,	,	PUNCT
ejpam-4245	80	35	p̃	p̃	PROPN
ejpam-4245	80	36	=	=	PROPN
ejpam-4245	80	37	pρũ2	pρũ2	NOUN
ejpam-4245	80	38	0	0	NUM
ejpam-4245	80	39	,	,	PUNCT
ejpam-4245	80	40	ũ	ũ	PROPN
ejpam-4245	80	41	=	=	SYM
ejpam-4245	80	42	uũ0	uũ0	NOUN
ejpam-4245	80	43	,	,	PUNCT
ejpam-4245	80	44	δ̃	δ̃	PROPN
ejpam-4245	80	45	=	=	SYM
ejpam-4245	80	46	δr0	δr0	PROPN
ejpam-4245	80	47	,	,	PUNCT
ejpam-4245	80	48	l̃	l̃	PROPN
ejpam-4245	80	49	=	=	SYM
ejpam-4245	80	50	l0r0	l0r0	PROPN
ejpam-4245	80	51	,	,	PUNCT
ejpam-4245	80	52	j.	j.	PROPN
ejpam-4245	80	53	tsetimi	tsetimi	PROPN
ejpam-4245	80	54	,	,	PUNCT
ejpam-4245	80	55	e.	e.	PROPN
ejpam-4245	80	56	j.	j.	PROPN
ejpam-4245	80	57	mamadu	mamadu	PROPN
ejpam-4245	80	58	/	/	SYM
ejpam-4245	80	59	eur	eur	PROPN
ejpam-4245	80	60	.	.	PUNCT
ejpam-4245	81	1	j.	j.	PROPN
ejpam-4245	81	2	pure	pure	PROPN
ejpam-4245	81	3	appl	appl	PROPN
ejpam-4245	81	4	.	.	PROPN
ejpam-4245	81	5	math	math	PROPN
ejpam-4245	81	6	,	,	PUNCT
ejpam-4245	81	7	15	15	NUM
ejpam-4245	81	8	(	(	PUNCT
ejpam-4245	81	9	1	1	NUM
ejpam-4245	81	10	)	)	PUNCT
ejpam-4245	81	11	(	(	PUNCT
ejpam-4245	81	12	2022	2022	NUM
ejpam-4245	81	13	)	)	PUNCT
ejpam-4245	81	14	,	,	PUNCT
ejpam-4245	81	15	314	314	NUM
ejpam-4245	81	16	-	-	SYM
ejpam-4245	81	17	327	327	NUM
ejpam-4245	81	18	318	318	NUM
ejpam-4245	81	19	where	where	SCONJ
ejpam-4245	81	20	ũ0	ũ0	PROPN
ejpam-4245	81	21	denotes	denote	VERB
ejpam-4245	81	22	the	the	DET
ejpam-4245	81	23	average	average	ADJ
ejpam-4245	81	24	velocity	velocity	NOUN
ejpam-4245	81	25	in	in	ADP
ejpam-4245	81	26	the	the	DET
ejpam-4245	81	27	unobstructed	unobstructed	ADJ
ejpam-4245	81	28	artery	artery	NOUN
ejpam-4245	81	29	and	and	CCONJ
ejpam-4245	81	30	ũ	ũ	PROPN
ejpam-4245	81	31	is	be	AUX
ejpam-4245	81	32	the	the	DET
ejpam-4245	81	33	centerline	centerline	NOUN
ejpam-4245	81	34	velocity	velocity	NOUN
ejpam-4245	81	35	.	.	PUNCT
ejpam-4245	82	1	therefore	therefore	ADV
ejpam-4245	82	2	,	,	PUNCT
ejpam-4245	82	3	the	the	DET
ejpam-4245	82	4	geometry	geometry	NOUN
ejpam-4245	82	5	of	of	ADP
ejpam-4245	82	6	the	the	DET
ejpam-4245	82	7	obstruction	obstruction	NOUN
ejpam-4245	82	8	in	in	ADP
ejpam-4245	82	9	equation	equation	NOUN
ejpam-4245	82	10	(	(	PUNCT
ejpam-4245	82	11	1	1	NUM
ejpam-4245	82	12	)	)	PUNCT
ejpam-4245	82	13	in	in	ADP
ejpam-4245	82	14	dimensionless	dimensionless	NOUN
ejpam-4245	82	15	form	form	NOUN
ejpam-4245	82	16	becomes	become	VERB
ejpam-4245	82	17	r(zr0	r(zr0	PROPN
ejpam-4245	82	18	)	)	PUNCT
ejpam-4245	83	1	=	=	PUNCT
ejpam-4245	83	2	r0	r0	NOUN
ejpam-4245	83	3	−	−	PROPN
ejpam-4245	83	4	δr0	δr0	NOUN
ejpam-4245	83	5	2	2	NUM
ejpam-4245	83	6	(	(	PUNCT
ejpam-4245	83	7	1	1	NUM
ejpam-4245	83	8	+	+	CCONJ
ejpam-4245	83	9	cos	cos	PROPN
ejpam-4245	83	10	2π	2π	PROPN
ejpam-4245	83	11	l0	l0	PROPN
ejpam-4245	83	12	zr0	zr0	PROPN
ejpam-4245	83	13	)	)	PUNCT
ejpam-4245	84	1	this	this	PRON
ejpam-4245	84	2	implies	imply	VERB
ejpam-4245	84	3	that	that	SCONJ
ejpam-4245	84	4	rz	rz	NOUN
ejpam-4245	84	5	=	=	SYM
ejpam-4245	84	6	1−	1−	NUM
ejpam-4245	84	7	δ	δ	NOUN
ejpam-4245	84	8	2	2	NUM
ejpam-4245	84	9	(	(	PUNCT
ejpam-4245	84	10	1	1	NUM
ejpam-4245	84	11	+	+	CCONJ
ejpam-4245	84	12	cos	cos	PROPN
ejpam-4245	84	13	2π	2π	PROPN
ejpam-4245	84	14	l0	l0	PROPN
ejpam-4245	84	15	z	z	NOUN
ejpam-4245	84	16	)	)	PUNCT
ejpam-4245	84	17	(	(	PUNCT
ejpam-4245	84	18	5	5	X
ejpam-4245	84	19	)	)	PUNCT
ejpam-4245	84	20	substituting	substitute	VERB
ejpam-4245	84	21	the	the	DET
ejpam-4245	84	22	above	above	ADJ
ejpam-4245	84	23	non	non	ADJ
ejpam-4245	84	24	-	-	ADJ
ejpam-4245	84	25	dimensional	dimensional	ADJ
ejpam-4245	84	26	variables	variable	NOUN
ejpam-4245	84	27	into	into	ADP
ejpam-4245	84	28	equation	equation	NOUN
ejpam-4245	84	29	(	(	PUNCT
ejpam-4245	84	30	2	2	NUM
ejpam-4245	84	31	)	)	PUNCT
ejpam-4245	84	32	and	and	CCONJ
ejpam-4245	84	33	multiplying	multiply	VERB
ejpam-4245	84	34	through	through	ADP
ejpam-4245	84	35	by	by	ADP
ejpam-4245	84	36	r0	r0	NOUN
ejpam-4245	84	37	ũ2	ũ2	PROPN
ejpam-4245	84	38	0	0	NUM
ejpam-4245	84	39	,	,	PUNCT
ejpam-4245	84	40	we	we	PRON
ejpam-4245	84	41	obtain	obtain	VERB
ejpam-4245	84	42	,	,	PUNCT
ejpam-4245	84	43	uũ	uũ	PROPN
ejpam-4245	84	44	∂uũ0	∂uũ0	PROPN
ejpam-4245	84	45	∂zr0	∂zr0	NOUN
ejpam-4245	84	46	.	.	PUNCT
ejpam-4245	85	1	r0	r0	NOUN
ejpam-4245	85	2	ũ2	ũ2	PROPN
ejpam-4245	85	3	0	0	PUNCT
ejpam-4245	86	1	+	+	CCONJ
ejpam-4245	86	2	vũ	vũ	NOUN
ejpam-4245	86	3	∂uũ0	∂uũ0	ADJ
ejpam-4245	86	4	∂γr0	∂γr0	NOUN
ejpam-4245	86	5	.	.	PUNCT
ejpam-4245	87	1	r0	r0	NOUN
ejpam-4245	87	2	ũ2	ũ2	PROPN
ejpam-4245	87	3	0	0	PUNCT
ejpam-4245	87	4	=	=	PUNCT
ejpam-4245	87	5	−∂p	−∂p	PROPN
ejpam-4245	87	6	∂z	∂z	PROPN
ejpam-4245	87	7	ũ2	ũ2	PROPN
ejpam-4245	87	8	0	0	NUM
ejpam-4245	87	9	r0	r0	NOUN
ejpam-4245	87	10	.	.	PUNCT
ejpam-4245	88	1	r0	r0	VERB
ejpam-4245	88	2	ũ2	ũ2	PROPN
ejpam-4245	88	3	0	0	NUM
ejpam-4245	88	4	+	+	NUM
ejpam-4245	88	5	µ	µ	DET
ejpam-4245	88	6	ρu0	ρu0	NOUN
ejpam-4245	88	7	(	(	PUNCT
ejpam-4245	88	8	∂2u	∂2u	X
ejpam-4245	88	9	∂γ2r0	∂γ2r0	PROPN
ejpam-4245	88	10	+	+	CCONJ
ejpam-4245	88	11	1	1	NUM
ejpam-4245	88	12	γr0	γr0	NOUN
ejpam-4245	89	1	∂u	∂u	PROPN
ejpam-4245	89	2	∂γ	∂γ	PROPN
ejpam-4245	89	3	+	+	CCONJ
ejpam-4245	89	4	∂2u	∂2u	ADJ
ejpam-4245	89	5	∂z2r0	∂z2r0	PROPN
ejpam-4245	89	6	)	)	PUNCT
ejpam-4245	89	7	u	u	NOUN
ejpam-4245	89	8	∂u	∂u	PROPN
ejpam-4245	89	9	∂z	∂z	PROPN
ejpam-4245	89	10	+	+	CCONJ
ejpam-4245	89	11	v	v	NOUN
ejpam-4245	89	12	∂u	∂u	PROPN
ejpam-4245	89	13	∂γ	∂γ	PROPN
ejpam-4245	90	1	=	=	PUNCT
ejpam-4245	91	1	−∂p	−∂p	PROPN
ejpam-4245	92	1	∂z	∂z	PROPN
ejpam-4245	93	1	+	+	CCONJ
ejpam-4245	94	1	µ	µ	X
ejpam-4245	94	2	ρu0	ρu0	NOUN
ejpam-4245	94	3	(	(	PUNCT
ejpam-4245	94	4	∂2u	∂2u	X
ejpam-4245	94	5	∂γ2r0	∂γ2r0	PROPN
ejpam-4245	94	6	+	+	CCONJ
ejpam-4245	94	7	1	1	NUM
ejpam-4245	94	8	γr0	γr0	NOUN
ejpam-4245	94	9	∂u	∂u	PROPN
ejpam-4245	94	10	∂γ	∂γ	PROPN
ejpam-4245	94	11	+	+	CCONJ
ejpam-4245	94	12	∂2u	∂2u	ADJ
ejpam-4245	94	13	∂z2r0	∂z2r0	PROPN
ejpam-4245	94	14	)	)	PUNCT
ejpam-4245	94	15	for	for	ADP
ejpam-4245	94	16	re	re	VERB
ejpam-4245	94	17	=	=	SYM
ejpam-4245	94	18	2ρũ0r0	2ρũ0r0	NUM
ejpam-4245	94	19	µ	µ	X
ejpam-4245	94	20	⇒	⇒	X
ejpam-4245	94	21	µ	µ	X
ejpam-4245	94	22	=	=	SYM
ejpam-4245	94	23	2ρũ0r0	2ρũ0r0	NUM
ejpam-4245	94	24	re	re	VERB
ejpam-4245	94	25	.	.	PUNCT
ejpam-4245	95	1	then	then	ADV
ejpam-4245	95	2	,	,	PUNCT
ejpam-4245	95	3	u∂u	u∂u	NOUN
ejpam-4245	95	4	∂z	∂z	PROPN
ejpam-4245	96	1	+	+	CCONJ
ejpam-4245	96	2	v	v	NOUN
ejpam-4245	96	3	∂u	∂u	PROPN
ejpam-4245	96	4	∂γ	∂γ	PROPN
ejpam-4245	96	5	=	=	PUNCT
ejpam-4245	97	1	−∂p	−∂p	PROPN
ejpam-4245	97	2	∂z	∂z	PROPN
ejpam-4245	97	3	+	+	CCONJ
ejpam-4245	97	4	2ρũ0r0	2ρũ0r0	NUM
ejpam-4245	97	5	ρreu0	ρreu0	X
ejpam-4245	97	6	(	(	PUNCT
ejpam-4245	97	7	∂2u	∂2u	X
ejpam-4245	97	8	∂γ2r0	∂γ2r0	PROPN
ejpam-4245	97	9	+	+	CCONJ
ejpam-4245	97	10	1	1	NUM
ejpam-4245	97	11	γr0	γr0	NOUN
ejpam-4245	97	12	∂u	∂u	PROPN
ejpam-4245	97	13	∂γ	∂γ	PROPN
ejpam-4245	97	14	+	+	CCONJ
ejpam-4245	97	15	∂2u	∂2u	ADJ
ejpam-4245	97	16	∂z2r0	∂z2r0	PROPN
ejpam-4245	97	17	)	)	PUNCT
ejpam-4245	97	18	this	this	PRON
ejpam-4245	97	19	implies	imply	VERB
ejpam-4245	97	20	that	that	SCONJ
ejpam-4245	97	21	u	u	PROPN
ejpam-4245	97	22	∂u	∂u	PROPN
ejpam-4245	97	23	∂z	∂z	PROPN
ejpam-4245	97	24	+	+	CCONJ
ejpam-4245	97	25	v	v	NOUN
ejpam-4245	97	26	∂u	∂u	PROPN
ejpam-4245	97	27	∂γ	∂γ	PROPN
ejpam-4245	97	28	=	=	PUNCT
ejpam-4245	98	1	−∂p	−∂p	PROPN
ejpam-4245	98	2	∂z	∂z	PROPN
ejpam-4245	98	3	+	+	CCONJ
ejpam-4245	98	4	2	2	NUM
ejpam-4245	98	5	re	re	X
ejpam-4245	98	6	(	(	PUNCT
ejpam-4245	98	7	∂2u	∂2u	X
ejpam-4245	98	8	∂γ2r0	∂γ2r0	PROPN
ejpam-4245	98	9	+	+	CCONJ
ejpam-4245	98	10	1	1	NUM
ejpam-4245	98	11	γr0	γr0	NOUN
ejpam-4245	98	12	∂u	∂u	PROPN
ejpam-4245	98	13	∂γ	∂γ	PROPN
ejpam-4245	98	14	+	+	CCONJ
ejpam-4245	98	15	∂2u	∂2u	ADJ
ejpam-4245	98	16	∂z2r0	∂z2r0	PROPN
ejpam-4245	98	17	)	)	PUNCT
ejpam-4245	98	18	(	(	PUNCT
ejpam-4245	98	19	6	6	X
ejpam-4245	98	20	)	)	PUNCT
ejpam-4245	98	21	where	where	SCONJ
ejpam-4245	98	22	re	re	ADP
ejpam-4245	98	23	=	=	SYM
ejpam-4245	98	24	2ρũ0r0	2ρũ0r0	NUM
ejpam-4245	98	25	µ	µ	X
ejpam-4245	98	26	is	be	AUX
ejpam-4245	98	27	the	the	DET
ejpam-4245	98	28	reynolds	reynolds	PROPN
ejpam-4245	98	29	number	number	NOUN
ejpam-4245	98	30	.	.	PUNCT
ejpam-4245	99	1	equation	equation	NOUN
ejpam-4245	99	2	(	(	PUNCT
ejpam-4245	99	3	6	6	NUM
ejpam-4245	99	4	)	)	PUNCT
ejpam-4245	99	5	is	be	AUX
ejpam-4245	99	6	the	the	DET
ejpam-4245	99	7	navier	navier	NOUN
ejpam-4245	99	8	-	-	PUNCT
ejpam-4245	99	9	stoke	stoke	NOUN
ejpam-4245	99	10	equation	equation	NOUN
ejpam-4245	99	11	in	in	ADP
ejpam-4245	99	12	the	the	DET
ejpam-4245	99	13	axial	axial	ADJ
ejpam-4245	99	14	direction	direction	NOUN
ejpam-4245	99	15	.	.	PUNCT
ejpam-4245	100	1	also	also	ADV
ejpam-4245	100	2	,	,	PUNCT
ejpam-4245	100	3	substituting	substitute	VERB
ejpam-4245	100	4	the	the	DET
ejpam-4245	100	5	above	above	ADJ
ejpam-4245	100	6	non	non	ADJ
ejpam-4245	100	7	-	-	ADJ
ejpam-4245	100	8	dimensional	dimensional	ADJ
ejpam-4245	100	9	variables	variable	NOUN
ejpam-4245	100	10	into	into	ADP
ejpam-4245	100	11	equation	equation	NOUN
ejpam-4245	100	12	(	(	PUNCT
ejpam-4245	100	13	3	3	NUM
ejpam-4245	100	14	)	)	PUNCT
ejpam-4245	100	15	and	and	CCONJ
ejpam-4245	100	16	multiplying	multiply	VERB
ejpam-4245	100	17	through	through	ADP
ejpam-4245	100	18	by	by	ADP
ejpam-4245	100	19	r0	r0	NOUN
ejpam-4245	100	20	ũ2	ũ2	PROPN
ejpam-4245	100	21	0	0	NUM
ejpam-4245	100	22	we	we	PRON
ejpam-4245	100	23	obtain	obtain	VERB
ejpam-4245	100	24	,	,	PUNCT
ejpam-4245	100	25	uũ0	uũ0	NOUN
ejpam-4245	100	26	∂uũ0	∂uũ0	PROPN
ejpam-4245	100	27	∂zr0	∂zr0	NOUN
ejpam-4245	100	28	.	.	PUNCT
ejpam-4245	101	1	ũ0	ũ0	PROPN
ejpam-4245	101	2	r0	r0	NOUN
ejpam-4245	101	3	+	+	CCONJ
ejpam-4245	101	4	vũ0	vũ0	PROPN
ejpam-4245	101	5	∂vũ0	∂vũ0	PROPN
ejpam-4245	101	6	∂γr0	∂γr0	NOUN
ejpam-4245	101	7	.	.	PUNCT
ejpam-4245	102	1	ũ2	ũ2	PROPN
ejpam-4245	102	2	0	0	NUM
ejpam-4245	102	3	r0	r0	NOUN
ejpam-4245	102	4	=	=	PUNCT
ejpam-4245	102	5	−∂pũ2	−∂pũ2	NOUN
ejpam-4245	102	6	0	0	NUM
ejpam-4245	102	7	∂γr0	∂γr0	NOUN
ejpam-4245	102	8	.	.	PUNCT
ejpam-4245	103	1	ũ2	ũ2	PROPN
ejpam-4245	103	2	0	0	NUM
ejpam-4245	103	3	r0	r0	NOUN
ejpam-4245	103	4	+	+	CCONJ
ejpam-4245	103	5	µ	µ	PROPN
ejpam-4245	103	6	ρ	ρ	NOUN
ejpam-4245	103	7	.	.	PUNCT
ejpam-4245	104	1	ũ2	ũ2	PROPN
ejpam-4245	104	2	0	0	NUM
ejpam-4245	104	3	r0	r0	NOUN
ejpam-4245	104	4	(	(	PUNCT
ejpam-4245	104	5	∂2u	∂2u	X
ejpam-4245	104	6	∂γ2r0	∂γ2r0	PROPN
ejpam-4245	104	7	+	+	CCONJ
ejpam-4245	104	8	1	1	NUM
ejpam-4245	104	9	γr0	γr0	NOUN
ejpam-4245	104	10	∂u	∂u	PROPN
ejpam-4245	104	11	∂γ	∂γ	PROPN
ejpam-4245	104	12	+	+	CCONJ
ejpam-4245	104	13	∂2u	∂2u	ADJ
ejpam-4245	104	14	∂z2r0	∂z2r0	PROPN
ejpam-4245	104	15	)	)	PUNCT
ejpam-4245	104	16	u	u	NOUN
ejpam-4245	104	17	∂u	∂u	PROPN
ejpam-4245	104	18	∂z	∂z	PROPN
ejpam-4245	104	19	+	+	CCONJ
ejpam-4245	104	20	v	v	NOUN
ejpam-4245	104	21	∂u	∂u	PROPN
ejpam-4245	104	22	∂γ	∂γ	NOUN
ejpam-4245	104	23	=	=	PUNCT
ejpam-4245	105	1	−	−	PROPN
ejpam-4245	105	2	∂p	∂p	PROPN
ejpam-4245	105	3	∂γ	∂γ	PROPN
ejpam-4245	106	1	+	+	CCONJ
ejpam-4245	106	2	2ρu0r0	2ρu0r0	NUM
ejpam-4245	106	3	ρreu0	ρreu0	NOUN
ejpam-4245	106	4	(	(	PUNCT
ejpam-4245	106	5	∂2v	∂2v	X
ejpam-4245	106	6	∂γ2r0	∂γ2r0	NOUN
ejpam-4245	106	7	+	+	CCONJ
ejpam-4245	106	8	1	1	NUM
ejpam-4245	106	9	γr0	γr0	NOUN
ejpam-4245	106	10	∂v	∂v	PROPN
ejpam-4245	106	11	∂γ	∂γ	PROPN
ejpam-4245	106	12	+	+	CCONJ
ejpam-4245	106	13	∂2v	∂2v	PROPN
ejpam-4245	106	14	∂z2r0	∂z2r0	PROPN
ejpam-4245	106	15	−	−	PROPN
ejpam-4245	106	16	vu0	vu0	PROPN
ejpam-4245	106	17	γ2r0	γ2r0	PROPN
ejpam-4245	106	18	)	)	PUNCT
ejpam-4245	106	19	this	this	PRON
ejpam-4245	106	20	implies	imply	VERB
ejpam-4245	106	21	that	that	SCONJ
ejpam-4245	106	22	u	u	PROPN
ejpam-4245	106	23	∂v	∂v	PROPN
ejpam-4245	106	24	∂z	∂z	PROPN
ejpam-4245	106	25	+	+	CCONJ
ejpam-4245	106	26	v	v	NOUN
ejpam-4245	106	27	∂v	∂v	PROPN
ejpam-4245	106	28	∂γ	∂γ	PROPN
ejpam-4245	106	29	=	=	PUNCT
ejpam-4245	107	1	−	−	PROPN
ejpam-4245	107	2	∂p	∂p	PROPN
ejpam-4245	107	3	∂γ	∂γ	PROPN
ejpam-4245	107	4	=	=	SYM
ejpam-4245	107	5	2	2	NUM
ejpam-4245	107	6	re	re	X
ejpam-4245	107	7	(	(	PUNCT
ejpam-4245	107	8	∂2v	∂2v	X
ejpam-4245	107	9	∂γ2	∂γ2	PROPN
ejpam-4245	107	10	+	+	NUM
ejpam-4245	107	11	1	1	NUM
ejpam-4245	107	12	γ	γ	NOUN
ejpam-4245	107	13	∂v	∂v	PROPN
ejpam-4245	107	14	∂γ	∂γ	PROPN
ejpam-4245	107	15	+	+	CCONJ
ejpam-4245	107	16	∂2v	∂2v	PROPN
ejpam-4245	107	17	∂z2	∂z2	PROPN
ejpam-4245	107	18	−	−	PROPN
ejpam-4245	107	19	v	v	ADP
ejpam-4245	107	20	γ2	γ2	PROPN
ejpam-4245	107	21	)	)	PUNCT
ejpam-4245	107	22	(	(	PUNCT
ejpam-4245	107	23	7	7	X
ejpam-4245	107	24	)	)	PUNCT
ejpam-4245	107	25	where	where	SCONJ
ejpam-4245	107	26	re	re	ADP
ejpam-4245	107	27	=	=	SYM
ejpam-4245	107	28	2ρũ0r0	2ρũ0r0	NUM
ejpam-4245	107	29	µ	µ	X
ejpam-4245	107	30	is	be	AUX
ejpam-4245	107	31	the	the	DET
ejpam-4245	107	32	reynolds	reynolds	PROPN
ejpam-4245	107	33	number	number	NOUN
ejpam-4245	107	34	.	.	PUNCT
ejpam-4245	108	1	equation	equation	NOUN
ejpam-4245	108	2	(	(	PUNCT
ejpam-4245	108	3	7	7	X
ejpam-4245	108	4	)	)	PUNCT
ejpam-4245	108	5	is	be	AUX
ejpam-4245	108	6	the	the	DET
ejpam-4245	108	7	navier	navier	NOUN
ejpam-4245	108	8	-	-	PUNCT
ejpam-4245	108	9	stoke	stoke	NOUN
ejpam-4245	108	10	equation	equation	NOUN
ejpam-4245	108	11	in	in	ADP
ejpam-4245	108	12	the	the	DET
ejpam-4245	108	13	radial	radial	ADJ
ejpam-4245	108	14	direction	direction	NOUN
ejpam-4245	108	15	.	.	PUNCT
ejpam-4245	109	1	j.	j.	PROPN
ejpam-4245	109	2	tsetimi	tsetimi	PROPN
ejpam-4245	109	3	,	,	PUNCT
ejpam-4245	109	4	e.	e.	PROPN
ejpam-4245	109	5	j.	j.	PROPN
ejpam-4245	109	6	mamadu	mamadu	PROPN
ejpam-4245	109	7	/	/	SYM
ejpam-4245	109	8	eur	eur	PROPN
ejpam-4245	109	9	.	.	PUNCT
ejpam-4245	110	1	j.	j.	PROPN
ejpam-4245	110	2	pure	pure	PROPN
ejpam-4245	110	3	appl	appl	PROPN
ejpam-4245	110	4	.	.	PROPN
ejpam-4245	110	5	math	math	PROPN
ejpam-4245	110	6	,	,	PUNCT
ejpam-4245	110	7	15	15	NUM
ejpam-4245	110	8	(	(	PUNCT
ejpam-4245	110	9	1	1	NUM
ejpam-4245	110	10	)	)	PUNCT
ejpam-4245	110	11	(	(	PUNCT
ejpam-4245	110	12	2022	2022	NUM
ejpam-4245	110	13	)	)	PUNCT
ejpam-4245	110	14	,	,	PUNCT
ejpam-4245	110	15	314	314	NUM
ejpam-4245	110	16	-	-	SYM
ejpam-4245	110	17	327	327	NUM
ejpam-4245	110	18	319	319	NUM
ejpam-4245	110	19	now	now	ADV
ejpam-4245	110	20	,	,	PUNCT
ejpam-4245	110	21	we	we	PRON
ejpam-4245	110	22	consider	consider	VERB
ejpam-4245	110	23	the	the	DET
ejpam-4245	110	24	continuity	continuity	NOUN
ejpam-4245	110	25	equation	equation	NOUN
ejpam-4245	110	26	as	as	SCONJ
ejpam-4245	110	27	follows	follow	VERB
ejpam-4245	110	28	:	:	PUNCT
ejpam-4245	110	29	substituting	substitute	VERB
ejpam-4245	110	30	the	the	DET
ejpam-4245	110	31	above	above	ADJ
ejpam-4245	110	32	non	non	ADJ
ejpam-4245	110	33	-	-	ADJ
ejpam-4245	110	34	dimensional	dimensional	ADJ
ejpam-4245	110	35	variables	variable	NOUN
ejpam-4245	110	36	into	into	ADP
ejpam-4245	110	37	equation	equation	NOUN
ejpam-4245	110	38	(	(	PUNCT
ejpam-4245	110	39	4	4	NUM
ejpam-4245	110	40	)	)	PUNCT
ejpam-4245	110	41	and	and	CCONJ
ejpam-4245	110	42	multiplying	multiply	VERB
ejpam-4245	110	43	through	through	ADP
ejpam-4245	110	44	by	by	ADP
ejpam-4245	110	45	r0	r0	PROPN
ejpam-4245	110	46	ũ	ũ	PROPN
ejpam-4245	110	47	,	,	PUNCT
ejpam-4245	110	48	we	we	PRON
ejpam-4245	110	49	obtain	obtain	VERB
ejpam-4245	110	50	∂uũ0	∂uũ0	PROPN
ejpam-4245	110	51	∂zr0	∂zr0	NOUN
ejpam-4245	110	52	.	.	PUNCT
ejpam-4245	111	1	r0	r0	NOUN
ejpam-4245	111	2	ũ0	ũ0	PROPN
ejpam-4245	112	1	+	+	PROPN
ejpam-4245	112	2	∂vũ0	∂vũ0	PROPN
ejpam-4245	112	3	∂γr0	∂γr0	NOUN
ejpam-4245	112	4	.	.	PUNCT
ejpam-4245	113	1	r0	r0	VERB
ejpam-4245	113	2	ũ0	ũ0	PROPN
ejpam-4245	114	1	+	+	CCONJ
ejpam-4245	114	2	v	v	ADJ
ejpam-4245	114	3	ũ0	ũ0	PROPN
ejpam-4245	114	4	γr0	γr0	NOUN
ejpam-4245	114	5	.	.	PUNCT
ejpam-4245	115	1	r0	r0	VERB
ejpam-4245	115	2	ũ0	ũ0	PROPN
ejpam-4245	115	3	∂u	∂u	PROPN
ejpam-4245	115	4	∂z	∂z	PROPN
ejpam-4245	115	5	+	+	CCONJ
ejpam-4245	115	6	∂v	∂v	PROPN
ejpam-4245	115	7	∂γ	∂γ	PROPN
ejpam-4245	116	1	+	+	CCONJ
ejpam-4245	116	2	v	v	NUM
ejpam-4245	116	3	γ	γ	X
ejpam-4245	116	4	=	=	SYM
ejpam-4245	116	5	0	0	NUM
ejpam-4245	116	6	(	(	PUNCT
ejpam-4245	116	7	8)	8)	NUM
ejpam-4245	116	8	4.1	4.1	NUM
ejpam-4245	116	9	.	.	PUNCT
ejpam-4245	117	1	boundary	boundary	ADJ
ejpam-4245	117	2	conditions	condition	NOUN
ejpam-4245	117	3	the	the	DET
ejpam-4245	117	4	velocity	velocity	NOUN
ejpam-4245	117	5	profile	profile	NOUN
ejpam-4245	117	6	constrains	constrain	VERB
ejpam-4245	117	7	for	for	ADP
ejpam-4245	117	8	axisymmetric	axisymmetric	ADJ
ejpam-4245	117	9	tube	tube	NOUN
ejpam-4245	117	10	flow	flow	NOUN
ejpam-4245	117	11	are	be	AUX
ejpam-4245	117	12	given	give	VERB
ejpam-4245	117	13	as	as	ADP
ejpam-4245	117	14	i.	i.	NOUN
ejpam-4245	117	15	u	u	PROPN
ejpam-4245	117	16	=	=	PROPN
ejpam-4245	117	17	u	u	PROPN
ejpam-4245	117	18	at	at	ADP
ejpam-4245	117	19	r	r	NOUN
ejpam-4245	117	20	=	=	SYM
ejpam-4245	117	21	0	0	NUM
ejpam-4245	117	22	,	,	PUNCT
ejpam-4245	117	23	is	be	AUX
ejpam-4245	117	24	the	the	DET
ejpam-4245	117	25	centre	centre	NOUN
ejpam-4245	117	26	line	line	NOUN
ejpam-4245	117	27	velocity	velocity	NOUN
ejpam-4245	117	28	.	.	PUNCT
ejpam-4245	118	1	ii	ii	PROPN
ejpam-4245	118	2	.	.	PUNCT
ejpam-4245	119	1	within	within	ADP
ejpam-4245	119	2	the	the	DET
ejpam-4245	119	3	artery	artery	NOUN
ejpam-4245	119	4	:	:	PUNCT
ejpam-4245	119	5	a	a	DET
ejpam-4245	119	6	“	"	PUNCT
ejpam-4245	119	7	no	no	DET
ejpam-4245	119	8	slip	slip	NOUN
ejpam-4245	119	9	”	"	PUNCT
ejpam-4245	119	10	boundary	boundary	ADJ
ejpam-4245	119	11	condition	condition	NOUN
ejpam-4245	119	12	prevails	prevail	VERB
ejpam-4245	119	13	at	at	ADP
ejpam-4245	119	14	the	the	DET
ejpam-4245	119	15	walls	wall	NOUN
ejpam-4245	119	16	,	,	PUNCT
ejpam-4245	119	17	i.e	i.e	PRON
ejpam-4245	119	18	,	,	PUNCT
ejpam-4245	119	19	the	the	DET
ejpam-4245	119	20	speed	speed	NOUN
ejpam-4245	119	21	of	of	ADP
ejpam-4245	119	22	the	the	DET
ejpam-4245	119	23	blood	blood	NOUN
ejpam-4245	119	24	along	along	ADP
ejpam-4245	119	25	the	the	DET
ejpam-4245	119	26	walls	wall	NOUN
ejpam-4245	119	27	vessel	vessel	NOUN
ejpam-4245	119	28	is	be	AUX
ejpam-4245	119	29	zero	zero	NUM
ejpam-4245	119	30	,	,	PUNCT
ejpam-4245	119	31	in	in	ADP
ejpam-4245	119	32	other	other	ADJ
ejpam-4245	119	33	words	word	NOUN
ejpam-4245	119	34	,	,	PUNCT
ejpam-4245	119	35	u	u	NOUN
ejpam-4245	119	36	=	=	PROPN
ejpam-4245	119	37	0	0	NUM
ejpam-4245	119	38	,	,	PUNCT
ejpam-4245	119	39	at	at	ADP
ejpam-4245	119	40	r	r	NOUN
ejpam-4245	119	41	=	=	SYM
ejpam-4245	119	42	r	r	PROPN
ejpam-4245	119	43	,	,	PUNCT
ejpam-4245	119	44	iii	iii	NOUN
ejpam-4245	119	45	.	.	NOUN
ejpam-4245	120	1	for	for	ADP
ejpam-4245	120	2	a	a	DET
ejpam-4245	120	3	finite	finite	ADJ
ejpam-4245	120	4	pressure	pressure	NOUN
ejpam-4245	120	5	and	and	CCONJ
ejpam-4245	120	6	inertia	inertia	NOUN
ejpam-4245	120	7	forces	force	NOUN
ejpam-4245	120	8	,	,	PUNCT
ejpam-4245	120	9	as	as	SCONJ
ejpam-4245	120	10	the	the	DET
ejpam-4245	120	11	radius	radius	NOUN
ejpam-4245	120	12	of	of	ADP
ejpam-4245	120	13	the	the	DET
ejpam-4245	120	14	element	element	NOUN
ejpam-4245	120	15	tends	tend	VERB
ejpam-4245	120	16	to	to	ADP
ejpam-4245	120	17	zero	zero	NUM
ejpam-4245	120	18	,	,	PUNCT
ejpam-4245	120	19	the	the	DET
ejpam-4245	120	20	viscous	viscous	ADJ
ejpam-4245	120	21	forces	force	NOUN
ejpam-4245	120	22	proportional	proportional	ADJ
ejpam-4245	120	23	to	to	ADP
ejpam-4245	120	24	∂u	∂u	PROPN
ejpam-4245	120	25	∂γ	∂γ	PROPN
ejpam-4245	120	26	tends	tend	VERB
ejpam-4245	120	27	to	to	ADP
ejpam-4245	120	28	zero	zero	NUM
ejpam-4245	120	29	.	.	PUNCT
ejpam-4245	121	1	that	that	PRON
ejpam-4245	121	2	is	be	AUX
ejpam-4245	121	3	,	,	PUNCT
ejpam-4245	121	4	∂u	∂u	PROPN
ejpam-4245	121	5	∂γ	∂γ	PROPN
ejpam-4245	122	1	=	=	NOUN
ejpam-4245	122	2	0	0	NUM
ejpam-4245	123	1	at	at	ADP
ejpam-4245	123	2	r	r	NOUN
ejpam-4245	123	3	=	=	SYM
ejpam-4245	123	4	0	0	NUM
ejpam-4245	123	5	.	.	NUM
ejpam-4245	123	6	iv	iv	X
ejpam-4245	123	7	.	.	PUNCT
ejpam-4245	123	8	eliminating	eliminate	VERB
ejpam-4245	123	9	pressure	pressure	NOUN
ejpam-4245	123	10	term	term	NOUN
ejpam-4245	123	11	between	between	ADP
ejpam-4245	123	12	(	(	PUNCT
ejpam-4245	123	13	6	6	NUM
ejpam-4245	123	14	)	)	PUNCT
ejpam-4245	123	15	and	and	CCONJ
ejpam-4245	123	16	(	(	PUNCT
ejpam-4245	123	17	7	7	NUM
ejpam-4245	123	18	)	)	PUNCT
ejpam-4245	123	19	and	and	CCONJ
ejpam-4245	123	20	considering	consider	VERB
ejpam-4245	123	21	the	the	DET
ejpam-4245	123	22	resulting	result	VERB
ejpam-4245	123	23	equations	equation	NOUN
ejpam-4245	123	24	as	as	ADP
ejpam-4245	123	25	r	r	NOUN
ejpam-4245	123	26	→	→	SYM
ejpam-4245	123	27	0	0	NUM
ejpam-4245	123	28	∂3u	∂3u	NOUN
ejpam-4245	123	29	∂γ3	∂γ3	VERB
ejpam-4245	123	30	at	at	ADP
ejpam-4245	123	31	γ	γ	X
ejpam-4245	123	32	=	=	SYM
ejpam-4245	123	33	0	0	PROPN
ejpam-4245	123	34	.	.	PUNCT
ejpam-4245	124	1	v.	v.	ADP
ejpam-4245	124	2	neglecting	neglect	VERB
ejpam-4245	124	3	the	the	DET
ejpam-4245	124	4	viscous	viscous	ADJ
ejpam-4245	124	5	term	term	NOUN
ejpam-4245	124	6	of	of	ADP
ejpam-4245	124	7	the	the	DET
ejpam-4245	124	8	normal	normal	ADJ
ejpam-4245	124	9	stress	stress	NOUN
ejpam-4245	124	10	retarding	retard	VERB
ejpam-4245	124	11	the	the	DET
ejpam-4245	124	12	flow	flow	NOUN
ejpam-4245	124	13	in	in	ADP
ejpam-4245	124	14	the	the	DET
ejpam-4245	124	15	axial	axial	ADJ
ejpam-4245	124	16	direction	direction	NOUN
ejpam-4245	124	17	of	of	ADP
ejpam-4245	124	18	equation	equation	NOUN
ejpam-4245	124	19	(	(	PUNCT
ejpam-4245	124	20	6	6	NUM
ejpam-4245	124	21	)	)	PUNCT
ejpam-4245	124	22	∂2u	∂2u	PROPN
ejpam-4245	124	23	∂z2	∂z2	PROPN
ejpam-4245	124	24	,	,	PUNCT
ejpam-4245	124	25	which	which	PRON
ejpam-4245	124	26	is	be	AUX
ejpam-4245	124	27	an	an	DET
ejpam-4245	124	28	assumption	assumption	NOUN
ejpam-4245	124	29	used	use	VERB
ejpam-4245	124	30	in	in	ADP
ejpam-4245	124	31	the	the	DET
ejpam-4245	124	32	analysis	analysis	NOUN
ejpam-4245	124	33	of	of	ADP
ejpam-4245	124	34	nonuniform	nonuniform	ADJ
ejpam-4245	124	35	flow	flow	NOUN
ejpam-4245	124	36	and	and	CCONJ
ejpam-4245	124	37	with	with	ADP
ejpam-4245	124	38	u	u	NOUN
ejpam-4245	124	39	=	=	PUNCT
ejpam-4245	124	40	v=	v=	NOUN
ejpam-4245	124	41	0	0	NUM
ejpam-4245	124	42	at	at	ADP
ejpam-4245	124	43	the	the	DET
ejpam-4245	124	44	wall	wall	NOUN
ejpam-4245	124	45	,	,	PUNCT
ejpam-4245	124	46	we	we	PRON
ejpam-4245	124	47	have	have	VERB
ejpam-4245	124	48	∂p	∂p	NOUN
ejpam-4245	124	49	∂z	∂z	PROPN
ejpam-4245	124	50	=	=	SYM
ejpam-4245	124	51	2	2	NUM
ejpam-4245	124	52	re	re	NOUN
ejpam-4245	124	53	1	1	NUM
ejpam-4245	124	54	γ	γ	PROPN
ejpam-4245	124	55	∂	∂	NOUN
ejpam-4245	124	56	∂γ	∂γ	NOUN
ejpam-4245	124	57	(	(	PUNCT
ejpam-4245	124	58	r	r	NOUN
ejpam-4245	124	59	∂u	∂u	PROPN
ejpam-4245	124	60	∂γ	∂γ	PROPN
ejpam-4245	124	61	)	)	PUNCT
ejpam-4245	124	62	,	,	PUNCT
ejpam-4245	124	63	r	r	NOUN
ejpam-4245	124	64	=	=	SYM
ejpam-4245	124	65	r.	r.	PROPN
ejpam-4245	124	66	5	5	NUM
ejpam-4245	124	67	.	.	PUNCT
ejpam-4245	124	68	method	method	NOUN
ejpam-4245	124	69	of	of	ADP
ejpam-4245	124	70	solution	solution	NOUN
ejpam-4245	124	71	various	various	ADJ
ejpam-4245	124	72	numerical	numerical	ADJ
ejpam-4245	124	73	methods	method	NOUN
ejpam-4245	124	74	have	have	AUX
ejpam-4245	124	75	been	be	AUX
ejpam-4245	124	76	explored	explore	VERB
ejpam-4245	124	77	in	in	ADP
ejpam-4245	124	78	the	the	DET
ejpam-4245	124	79	course	course	NOUN
ejpam-4245	124	80	of	of	ADP
ejpam-4245	124	81	solving	solve	VERB
ejpam-4245	124	82	the	the	DET
ejpam-4245	124	83	governing	govern	VERB
ejpam-4245	124	84	equation	equation	NOUN
ejpam-4245	124	85	subject	subject	ADJ
ejpam-4245	124	86	to	to	ADP
ejpam-4245	124	87	the	the	DET
ejpam-4245	124	88	prescribed	prescribe	VERB
ejpam-4245	124	89	boundary	boundary	ADJ
ejpam-4245	124	90	conditions	condition	NOUN
ejpam-4245	124	91	for	for	ADP
ejpam-4245	124	92	the	the	DET
ejpam-4245	124	93	problem	problem	NOUN
ejpam-4245	124	94	considered	consider	VERB
ejpam-4245	124	95	.	.	PUNCT
ejpam-4245	125	1	for	for	ADP
ejpam-4245	125	2	example	example	NOUN
ejpam-4245	125	3	,	,	PUNCT
ejpam-4245	125	4	the	the	DET
ejpam-4245	125	5	galerkin	galerkin	ADJ
ejpam-4245	125	6	finite	finite	PROPN
ejpam-4245	125	7	element	element	NOUN
ejpam-4245	125	8	method	method	NOUN
ejpam-4245	125	9	was	be	AUX
ejpam-4245	125	10	adopted	adopt	VERB
ejpam-4245	125	11	by	by	ADP
ejpam-4245	125	12	[	[	X
ejpam-4245	125	13	12	12	NUM
ejpam-4245	125	14	]	]	PUNCT
ejpam-4245	125	15	to	to	PART
ejpam-4245	125	16	solve	solve	VERB
ejpam-4245	125	17	the	the	DET
ejpam-4245	125	18	considered	consider	VERB
ejpam-4245	125	19	problem	problem	NOUN
ejpam-4245	125	20	.	.	PUNCT
ejpam-4245	126	1	the	the	DET
ejpam-4245	126	2	variational	variational	ADJ
ejpam-4245	126	3	iteration	iteration	NOUN
ejpam-4245	126	4	method	method	NOUN
ejpam-4245	126	5	(	(	PUNCT
ejpam-4245	126	6	vim	vim	NOUN
ejpam-4245	126	7	)	)	PUNCT
ejpam-4245	126	8	is	be	AUX
ejpam-4245	126	9	a	a	DET
ejpam-4245	126	10	numerical	numerical	ADJ
ejpam-4245	126	11	scheme	scheme	NOUN
ejpam-4245	126	12	employed	employ	VERB
ejpam-4245	126	13	here	here	ADV
ejpam-4245	126	14	in	in	ADP
ejpam-4245	126	15	this	this	DET
ejpam-4245	126	16	research	research	NOUN
ejpam-4245	126	17	to	to	PART
ejpam-4245	126	18	solve	solve	VERB
ejpam-4245	126	19	the	the	DET
ejpam-4245	126	20	considered	consider	VERB
ejpam-4245	126	21	problem	problem	NOUN
ejpam-4245	126	22	.	.	PUNCT
ejpam-4245	127	1	this	this	DET
ejpam-4245	127	2	method	method	NOUN
ejpam-4245	127	3	was	be	AUX
ejpam-4245	127	4	first	first	ADV
ejpam-4245	127	5	conceived	conceive	VERB
ejpam-4245	127	6	by	by	ADP
ejpam-4245	127	7	a	a	DET
ejpam-4245	127	8	chinese	chinese	ADJ
ejpam-4245	127	9	mathematician	mathematician	NOUN
ejpam-4245	127	10	[	[	X
ejpam-4245	127	11	11	11	NUM
ejpam-4245	127	12	]	]	PUNCT
ejpam-4245	127	13	in	in	ADP
ejpam-4245	127	14	1999	1999	NUM
ejpam-4245	127	15	.	.	PUNCT
ejpam-4245	128	1	since	since	SCONJ
ejpam-4245	128	2	then	then	ADV
ejpam-4245	128	3	,	,	PUNCT
ejpam-4245	128	4	the	the	DET
ejpam-4245	128	5	method	method	NOUN
ejpam-4245	128	6	has	have	AUX
ejpam-4245	128	7	been	be	AUX
ejpam-4245	128	8	used	use	VERB
ejpam-4245	128	9	in	in	ADP
ejpam-4245	128	10	seeking	seek	VERB
ejpam-4245	128	11	approximate	approximate	ADJ
ejpam-4245	128	12	solutions	solution	NOUN
ejpam-4245	128	13	to	to	ADP
ejpam-4245	128	14	many	many	ADJ
ejpam-4245	128	15	problems	problem	NOUN
ejpam-4245	128	16	in	in	ADP
ejpam-4245	128	17	applied	applied	ADJ
ejpam-4245	128	18	mathematics	mathematic	NOUN
ejpam-4245	128	19	,	,	PUNCT
ejpam-4245	128	20	see	see	VERB
ejpam-4245	128	21	for	for	ADP
ejpam-4245	128	22	examples	example	NOUN
ejpam-4245	128	23	[	[	X
ejpam-4245	128	24	13	13	NUM
ejpam-4245	128	25	-	-	SYM
ejpam-4245	128	26	17	17	NUM
ejpam-4245	128	27	]	]	PUNCT
ejpam-4245	128	28	and	and	CCONJ
ejpam-4245	128	29	literature	literature	NOUN
ejpam-4245	128	30	cited	cite	VERB
ejpam-4245	128	31	therein	therein	ADV
ejpam-4245	128	32	.	.	PUNCT
ejpam-4245	129	1	the	the	DET
ejpam-4245	129	2	vim	vim	NOUN
ejpam-4245	129	3	is	be	AUX
ejpam-4245	129	4	applied	apply	VERB
ejpam-4245	129	5	to	to	PART
ejpam-4245	129	6	solve	solve	VERB
ejpam-4245	129	7	the	the	DET
ejpam-4245	129	8	equations	equation	NOUN
ejpam-4245	129	9	(	(	PUNCT
ejpam-4245	129	10	6	6	NUM
ejpam-4245	129	11	)	)	PUNCT
ejpam-4245	129	12	,	,	PUNCT
ejpam-4245	129	13	(	(	PUNCT
ejpam-4245	129	14	7	7	X
ejpam-4245	129	15	)	)	PUNCT
ejpam-4245	129	16	and	and	CCONJ
ejpam-4245	129	17	(	(	PUNCT
ejpam-4245	129	18	8)	8)	NUM
ejpam-4245	129	19	subject	subject	NOUN
ejpam-4245	129	20	to	to	ADP
ejpam-4245	129	21	the	the	DET
ejpam-4245	129	22	boundary	boundary	ADJ
ejpam-4245	129	23	conditions	condition	NOUN
ejpam-4245	129	24	in	in	ADP
ejpam-4245	129	25	section	section	NOUN
ejpam-4245	129	26	4.1	4.1	NUM
ejpam-4245	129	27	.	.	PUNCT
ejpam-4245	130	1	here	here	ADV
ejpam-4245	130	2	,	,	PUNCT
ejpam-4245	130	3	it	it	PRON
ejpam-4245	130	4	is	be	AUX
ejpam-4245	130	5	assumed	assume	VERB
ejpam-4245	130	6	that	that	SCONJ
ejpam-4245	130	7	the	the	DET
ejpam-4245	130	8	continuity	continuity	NOUN
ejpam-4245	130	9	equation	equation	NOUN
ejpam-4245	130	10	satisfies	satisfy	VERB
ejpam-4245	130	11	the	the	DET
ejpam-4245	130	12	velocity	velocity	NOUN
ejpam-4245	130	13	profile	profile	NOUN
ejpam-4245	130	14	conditions	condition	NOUN
ejpam-4245	130	15	.	.	PUNCT
ejpam-4245	131	1	the	the	DET
ejpam-4245	131	2	velocity	velocity	NOUN
ejpam-4245	131	3	profile	profile	NOUN
ejpam-4245	131	4	,	,	PUNCT
ejpam-4245	131	5	u	u	NOUN
ejpam-4245	131	6	and	and	CCONJ
ejpam-4245	131	7	the	the	DET
ejpam-4245	131	8	pressure	pressure	NOUN
ejpam-4245	131	9	gradients	gradient	NOUN
ejpam-4245	131	10	are	be	AUX
ejpam-4245	131	11	obtained	obtain	VERB
ejpam-4245	131	12	j.	j.	PROPN
ejpam-4245	131	13	tsetimi	tsetimi	PROPN
ejpam-4245	131	14	,	,	PUNCT
ejpam-4245	131	15	e.	e.	PROPN
ejpam-4245	131	16	j.	j.	PROPN
ejpam-4245	131	17	mamadu	mamadu	PROPN
ejpam-4245	131	18	/	/	SYM
ejpam-4245	131	19	eur	eur	PROPN
ejpam-4245	131	20	.	.	PUNCT
ejpam-4245	132	1	j.	j.	PROPN
ejpam-4245	132	2	pure	pure	PROPN
ejpam-4245	132	3	appl	appl	PROPN
ejpam-4245	132	4	.	.	PROPN
ejpam-4245	132	5	math	math	PROPN
ejpam-4245	132	6	,	,	PUNCT
ejpam-4245	132	7	15	15	NUM
ejpam-4245	132	8	(	(	PUNCT
ejpam-4245	132	9	1	1	NUM
ejpam-4245	132	10	)	)	PUNCT
ejpam-4245	132	11	(	(	PUNCT
ejpam-4245	132	12	2022	2022	NUM
ejpam-4245	132	13	)	)	PUNCT
ejpam-4245	132	14	,	,	PUNCT
ejpam-4245	132	15	314	314	NUM
ejpam-4245	132	16	-	-	SYM
ejpam-4245	132	17	327	327	NUM
ejpam-4245	132	18	320	320	NUM
ejpam-4245	132	19	recursively	recursively	NOUN
ejpam-4245	132	20	.	.	PUNCT
ejpam-4245	133	1	the	the	DET
ejpam-4245	133	2	vim	vim	PROPN
ejpam-4245	133	3	converges	converge	NOUN
ejpam-4245	133	4	with	with	ADP
ejpam-4245	133	5	high	high	ADJ
ejpam-4245	133	6	level	level	NOUN
ejpam-4245	133	7	precision	precision	NOUN
ejpam-4245	133	8	based	base	VERB
ejpam-4245	133	9	on	on	ADP
ejpam-4245	133	10	the	the	DET
ejpam-4245	133	11	reynold	reynold	ADJ
ejpam-4245	133	12	number	number	NOUN
ejpam-4245	133	13	,	,	PUNCT
ejpam-4245	133	14	re	re	NOUN
ejpam-4245	133	15	.	.	PUNCT
ejpam-4245	134	1	the	the	DET
ejpam-4245	134	2	convergence	convergence	NOUN
ejpam-4245	134	3	of	of	ADP
ejpam-4245	134	4	solution	solution	NOUN
ejpam-4245	134	5	is	be	AUX
ejpam-4245	134	6	obtained	obtain	VERB
ejpam-4245	134	7	when	when	SCONJ
ejpam-4245	134	8	the	the	DET
ejpam-4245	134	9	error	error	NOUN
ejpam-4245	134	10	recorded	record	VERB
ejpam-4245	134	11	for	for	ADP
ejpam-4245	134	12	each	each	DET
ejpam-4245	134	13	consecutive	consecutive	ADJ
ejpam-4245	134	14	iterations	iteration	NOUN
ejpam-4245	134	15	is	be	AUX
ejpam-4245	134	16	|un+1	|un+1	ADJ
ejpam-4245	134	17	−	−	NOUN
ejpam-4245	134	18	un|	un|	VERB
ejpam-4245	134	19	⩽	⩽	ADJ
ejpam-4245	134	20	10−5	10−5	NUM
ejpam-4245	134	21	,	,	PUNCT
ejpam-4245	134	22	n	n	X
ejpam-4245	134	23	is	be	AUX
ejpam-4245	134	24	the	the	DET
ejpam-4245	134	25	number	number	NOUN
ejpam-4245	134	26	of	of	ADP
ejpam-4245	134	27	iterations	iteration	NOUN
ejpam-4245	134	28	of	of	ADP
ejpam-4245	134	29	u.	u.	NOUN
ejpam-4245	134	30	applying	apply	VERB
ejpam-4245	134	31	the	the	DET
ejpam-4245	134	32	vim	vim	NOUN
ejpam-4245	134	33	to	to	ADP
ejpam-4245	134	34	equation	equation	NOUN
ejpam-4245	134	35	(	(	PUNCT
ejpam-4245	134	36	6	6	NUM
ejpam-4245	134	37	)	)	PUNCT
ejpam-4245	134	38	and	and	CCONJ
ejpam-4245	134	39	(	(	PUNCT
ejpam-4245	134	40	7	7	NUM
ejpam-4245	134	41	)	)	PUNCT
ejpam-4245	134	42	,	,	PUNCT
ejpam-4245	134	43	we	we	PRON
ejpam-4245	134	44	construct	construct	VERB
ejpam-4245	134	45	a	a	DET
ejpam-4245	134	46	correction	correction	NOUN
ejpam-4245	134	47	functional	functional	ADJ
ejpam-4245	134	48	for	for	ADP
ejpam-4245	134	49	the	the	DET
ejpam-4245	134	50	axial	axial	ADJ
ejpam-4245	134	51	and	and	CCONJ
ejpam-4245	134	52	radial	radial	ADJ
ejpam-4245	134	53	directions	direction	NOUN
ejpam-4245	134	54	as	as	SCONJ
ejpam-4245	134	55	follows	follow	VERB
ejpam-4245	134	56	:	:	PUNCT
ejpam-4245	134	57	u(n+1	u(n+1	ADJ
ejpam-4245	134	58	)	)	PUNCT
ejpam-4245	135	1	=	=	SYM
ejpam-4245	135	2	un+	un+	ADJ
ejpam-4245	135	3	∫	∫	PROPN
ejpam-4245	135	4	r	r	NOUN
ejpam-4245	135	5	0	0	NUM
ejpam-4245	135	6	λ(γ	λ(γ	PROPN
ejpam-4245	135	7	)	)	PUNCT
ejpam-4245	135	8	(	(	PUNCT
ejpam-4245	135	9	un	un	PROPN
ejpam-4245	135	10	∂un	∂un	PROPN
ejpam-4245	135	11	∂z	∂z	PROPN
ejpam-4245	136	1	+	+	CCONJ
ejpam-4245	136	2	vn	vn	PROPN
ejpam-4245	136	3	∂un	∂un	PROPN
ejpam-4245	136	4	∂γ	∂γ	PROPN
ejpam-4245	137	1	+	+	CCONJ
ejpam-4245	137	2	∂p	∂p	PROPN
ejpam-4245	137	3	∂z	∂z	PROPN
ejpam-4245	137	4	−	−	NOUN
ejpam-4245	137	5	2	2	NUM
ejpam-4245	137	6	re	re	X
ejpam-4245	137	7	(	(	PUNCT
ejpam-4245	137	8	∂2un	∂2un	ADP
ejpam-4245	137	9	∂γ2	∂γ2	PROPN
ejpam-4245	137	10	+	+	NUM
ejpam-4245	137	11	1	1	NUM
ejpam-4245	137	12	γ	γ	NOUN
ejpam-4245	137	13	∂un	∂un	PROPN
ejpam-4245	137	14	∂γ	∂γ	PROPN
ejpam-4245	137	15	+	+	CCONJ
ejpam-4245	137	16	∂2un	∂2un	ADJ
ejpam-4245	137	17	∂z2	∂z2	NOUN
ejpam-4245	137	18	)	)	PUNCT
ejpam-4245	137	19	)	)	PUNCT
ejpam-4245	137	20	ds	ds	PROPN
ejpam-4245	137	21	,	,	PUNCT
ejpam-4245	137	22	n	n	CCONJ
ejpam-4245	137	23	⩾	⩾	NOUN
ejpam-4245	137	24	0	0	PUNCT
ejpam-4245	138	1	(	(	PUNCT
ejpam-4245	138	2	9	9	NUM
ejpam-4245	138	3	)	)	PUNCT
ejpam-4245	138	4	v(n+1	v(n+1	PROPN
ejpam-4245	138	5	)	)	PUNCT
ejpam-4245	139	1	=	=	PRON
ejpam-4245	139	2	vn+	vn+	VERB
ejpam-4245	139	3	∫	∫	PROPN
ejpam-4245	139	4	r	r	NOUN
ejpam-4245	139	5	0	0	NUM
ejpam-4245	139	6	λ(γ	λ(γ	PROPN
ejpam-4245	139	7	)	)	PUNCT
ejpam-4245	139	8	(	(	PUNCT
ejpam-4245	139	9	un	un	PROPN
ejpam-4245	139	10	∂v	∂v	PROPN
ejpam-4245	139	11	∂z	∂z	PROPN
ejpam-4245	140	1	+	+	CCONJ
ejpam-4245	140	2	vn	vn	PROPN
ejpam-4245	140	3	∂vn	∂vn	PROPN
ejpam-4245	140	4	∂γ	∂γ	PROPN
ejpam-4245	141	1	+	+	CCONJ
ejpam-4245	141	2	∂p	∂p	PROPN
ejpam-4245	141	3	∂γ	∂γ	PROPN
ejpam-4245	142	1	−	−	NOUN
ejpam-4245	142	2	2	2	NUM
ejpam-4245	142	3	re	re	X
ejpam-4245	142	4	(	(	PUNCT
ejpam-4245	142	5	∂2vn	∂2vn	ADP
ejpam-4245	142	6	∂γ2	∂γ2	PROPN
ejpam-4245	142	7	+	+	SYM
ejpam-4245	142	8	1	1	NUM
ejpam-4245	142	9	γ	γ	PROPN
ejpam-4245	142	10	∂vn	∂vn	PROPN
ejpam-4245	142	11	∂γ	∂γ	PROPN
ejpam-4245	142	12	+	+	CCONJ
ejpam-4245	142	13	∂2vn	∂2vn	ADJ
ejpam-4245	142	14	∂z2	∂z2	PROPN
ejpam-4245	142	15	−	−	PROPN
ejpam-4245	142	16	vn	vn	PROPN
ejpam-4245	142	17	γ2	γ2	PROPN
ejpam-4245	142	18	)	)	PUNCT
ejpam-4245	142	19	)	)	PUNCT
ejpam-4245	143	1	dγ	dγ	PROPN
ejpam-4245	143	2	,	,	PUNCT
ejpam-4245	143	3	n	n	CCONJ
ejpam-4245	143	4	⩾	⩾	NOUN
ejpam-4245	143	5	0	0	PUNCT
ejpam-4245	143	6	(	(	PUNCT
ejpam-4245	143	7	10	10	NUM
ejpam-4245	143	8	)	)	PUNCT
ejpam-4245	143	9	where	where	SCONJ
ejpam-4245	143	10	λ(γ	λ(γ	PROPN
ejpam-4245	143	11	)	)	PUNCT
ejpam-4245	143	12	is	be	AUX
ejpam-4245	143	13	the	the	DET
ejpam-4245	143	14	general	general	ADJ
ejpam-4245	143	15	lagrange	lagrange	PROPN
ejpam-4245	143	16	multiplier	multiplier	ADV
ejpam-4245	143	17	,	,	PUNCT
ejpam-4245	143	18	which	which	PRON
ejpam-4245	143	19	can	can	AUX
ejpam-4245	143	20	be	be	AUX
ejpam-4245	143	21	obtained	obtain	VERB
ejpam-4245	143	22	using	use	VERB
ejpam-4245	143	23	the	the	DET
ejpam-4245	143	24	generalized	generalized	ADJ
ejpam-4245	143	25	formula	formula	NOUN
ejpam-4245	143	26	[	[	X
ejpam-4245	143	27	18	18	NUM
ejpam-4245	143	28	]	]	PUNCT
ejpam-4245	143	29	λn(γ	λn(γ	NUM
ejpam-4245	143	30	)	)	PUNCT
ejpam-4245	143	31	=	=	SYM
ejpam-4245	143	32	(	(	PUNCT
ejpam-4245	143	33	−1)n	−1)n	X
ejpam-4245	143	34	(	(	PUNCT
ejpam-4245	143	35	γ−	γ−	PROPN
ejpam-4245	143	36	z)(n−1	z)(n−1	PROPN
ejpam-4245	143	37	)	)	PUNCT
ejpam-4245	143	38	(	(	PUNCT
ejpam-4245	143	39	n−	n−	NOUN
ejpam-4245	143	40	1	1	NUM
ejpam-4245	143	41	)	)	PUNCT
ejpam-4245	143	42	!	!	PUNCT
ejpam-4245	144	1	(	(	PUNCT
ejpam-4245	144	2	11	11	NUM
ejpam-4245	144	3	)	)	PUNCT
ejpam-4245	144	4	where	where	SCONJ
ejpam-4245	144	5	n	n	PRON
ejpam-4245	144	6	is	be	AUX
ejpam-4245	144	7	the	the	DET
ejpam-4245	144	8	highest	high	ADJ
ejpam-4245	144	9	occurring	occur	VERB
ejpam-4245	144	10	derivative	derivative	NOUN
ejpam-4245	144	11	in	in	ADP
ejpam-4245	144	12	(	(	PUNCT
ejpam-4245	144	13	11	11	NUM
ejpam-4245	144	14	)	)	PUNCT
ejpam-4245	144	15	.	.	PUNCT
ejpam-4245	145	1	since	since	SCONJ
ejpam-4245	145	2	,	,	PUNCT
ejpam-4245	145	3	the	the	DET
ejpam-4245	145	4	equations	equation	NOUN
ejpam-4245	145	5	(	(	PUNCT
ejpam-4245	145	6	6	6	NUM
ejpam-4245	145	7	)	)	PUNCT
ejpam-4245	145	8	and	and	CCONJ
ejpam-4245	145	9	(	(	PUNCT
ejpam-4245	145	10	7	7	X
ejpam-4245	145	11	)	)	PUNCT
ejpam-4245	145	12	are	be	AUX
ejpam-4245	145	13	of	of	ADP
ejpam-4245	145	14	second	second	ADJ
ejpam-4245	145	15	order	order	NOUN
ejpam-4245	145	16	,	,	PUNCT
ejpam-4245	145	17	we	we	PRON
ejpam-4245	145	18	have	have	VERB
ejpam-4245	145	19	λ(γ	λ(γ	PROPN
ejpam-4245	145	20	)	)	PUNCT
ejpam-4245	146	1	=	=	PRON
ejpam-4245	146	2	(	(	PUNCT
ejpam-4245	146	3	γ	γ	PROPN
ejpam-4245	146	4	−	−	PROPN
ejpam-4245	146	5	z	z	PROPN
ejpam-4245	146	6	)	)	PUNCT
ejpam-4245	146	7	.	.	PUNCT
ejpam-4245	147	1	therefore	therefore	ADV
ejpam-4245	147	2	,	,	PUNCT
ejpam-4245	147	3	equation	equation	NOUN
ejpam-4245	147	4	(	(	PUNCT
ejpam-4245	147	5	9	9	X
ejpam-4245	147	6	)	)	PUNCT
ejpam-4245	147	7	becomes	become	VERB
ejpam-4245	147	8	u(n+1	u(n+1	ADJ
ejpam-4245	147	9	)	)	PUNCT
ejpam-4245	148	1	=	=	SYM
ejpam-4245	148	2	un+	un+	ADJ
ejpam-4245	148	3	∫	∫	PROPN
ejpam-4245	148	4	r	r	NOUN
ejpam-4245	148	5	0	0	NUM
ejpam-4245	148	6	(	(	PUNCT
ejpam-4245	148	7	γ−z	γ−z	NUM
ejpam-4245	148	8	)	)	PUNCT
ejpam-4245	148	9	(	(	PUNCT
ejpam-4245	148	10	un	un	PROPN
ejpam-4245	148	11	∂un	∂un	PROPN
ejpam-4245	148	12	∂z	∂z	PROPN
ejpam-4245	149	1	+	+	CCONJ
ejpam-4245	149	2	vn	vn	PROPN
ejpam-4245	149	3	∂un	∂un	PROPN
ejpam-4245	149	4	∂γ	∂γ	PROPN
ejpam-4245	150	1	+	+	CCONJ
ejpam-4245	150	2	∂p	∂p	PROPN
ejpam-4245	150	3	∂z	∂z	PROPN
ejpam-4245	150	4	−	−	NOUN
ejpam-4245	150	5	2	2	NUM
ejpam-4245	150	6	re	re	X
ejpam-4245	150	7	(	(	PUNCT
ejpam-4245	150	8	∂2un	∂2un	ADP
ejpam-4245	150	9	∂γ2	∂γ2	PROPN
ejpam-4245	150	10	+	+	NUM
ejpam-4245	150	11	1	1	NUM
ejpam-4245	150	12	γ	γ	NOUN
ejpam-4245	150	13	∂un	∂un	PROPN
ejpam-4245	150	14	∂γ	∂γ	PROPN
ejpam-4245	150	15	+	+	CCONJ
ejpam-4245	150	16	∂2un	∂2un	ADJ
ejpam-4245	150	17	∂z2	∂z2	NOUN
ejpam-4245	150	18	)	)	PUNCT
ejpam-4245	150	19	)	)	PUNCT
ejpam-4245	150	20	ds	ds	PROPN
ejpam-4245	150	21	,	,	PUNCT
ejpam-4245	150	22	n	n	CCONJ
ejpam-4245	150	23	⩾	⩾	NOUN
ejpam-4245	150	24	0	0	PUNCT
ejpam-4245	151	1	(	(	PUNCT
ejpam-4245	151	2	12	12	NUM
ejpam-4245	151	3	)	)	PUNCT
ejpam-4245	151	4	where	where	SCONJ
ejpam-4245	151	5	vn	vn	PROPN
ejpam-4245	151	6	is	be	AUX
ejpam-4245	151	7	obtained	obtain	VERB
ejpam-4245	151	8	from	from	ADP
ejpam-4245	151	9	the	the	DET
ejpam-4245	151	10	continuity	continuity	NOUN
ejpam-4245	151	11	equation	equation	NOUN
ejpam-4245	151	12	,	,	PUNCT
ejpam-4245	151	13	given	give	VERB
ejpam-4245	151	14	as	as	ADP
ejpam-4245	151	15	;	;	PUNCT
ejpam-4245	151	16	vn	vn	PROPN
ejpam-4245	151	17	=	=	SYM
ejpam-4245	151	18	r	r	PROPN
ejpam-4245	151	19	(	(	PUNCT
ejpam-4245	151	20	∂	∂	NUM
ejpam-4245	151	21	∂z	∂z	PROPN
ejpam-4245	151	22	un	un	PROPN
ejpam-4245	151	23	+	+	CCONJ
ejpam-4245	151	24	∂	∂	PROPN
ejpam-4245	151	25	∂γ	∂γ	PROPN
ejpam-4245	151	26	un	un	PROPN
ejpam-4245	151	27	)	)	PUNCT
ejpam-4245	151	28	equation	equation	NOUN
ejpam-4245	151	29	(	(	PUNCT
ejpam-4245	151	30	12	12	NUM
ejpam-4245	151	31	)	)	PUNCT
ejpam-4245	151	32	is	be	AUX
ejpam-4245	151	33	used	use	VERB
ejpam-4245	151	34	to	to	PART
ejpam-4245	151	35	derive	derive	VERB
ejpam-4245	151	36	its	its	PRON
ejpam-4245	151	37	component	component	NOUN
ejpam-4245	151	38	parts	part	NOUN
ejpam-4245	151	39	such	such	ADJ
ejpam-4245	151	40	as	as	ADP
ejpam-4245	151	41	un	un	PROPN
ejpam-4245	151	42	,	,	PUNCT
ejpam-4245	151	43	n	n	CCONJ
ejpam-4245	151	44	⩾	⩾	NOUN
ejpam-4245	151	45	0	0	NUM
ejpam-4245	151	46	.	.	X
ejpam-4245	152	1	5.1	5.1	NUM
ejpam-4245	152	2	.	.	PUNCT
ejpam-4245	153	1	determination	determination	NOUN
ejpam-4245	153	2	of	of	ADP
ejpam-4245	153	3	initial	initial	ADJ
ejpam-4245	153	4	approximation	approximation	NOUN
ejpam-4245	153	5	since	since	SCONJ
ejpam-4245	153	6	our	our	PRON
ejpam-4245	153	7	interest	interest	NOUN
ejpam-4245	153	8	is	be	AUX
ejpam-4245	153	9	only	only	ADV
ejpam-4245	153	10	in	in	ADP
ejpam-4245	153	11	the	the	DET
ejpam-4245	153	12	axial	axial	ADJ
ejpam-4245	153	13	flow	flow	NOUN
ejpam-4245	153	14	,	,	PUNCT
ejpam-4245	153	15	we	we	PRON
ejpam-4245	153	16	only	only	ADV
ejpam-4245	153	17	seek	seek	VERB
ejpam-4245	153	18	the	the	DET
ejpam-4245	153	19	initial	initial	ADJ
ejpam-4245	153	20	approximation	approximation	NOUN
ejpam-4245	153	21	to	to	PART
ejpam-4245	153	22	kick	kick	VERB
ejpam-4245	153	23	-	-	PUNCT
ejpam-4245	153	24	off	off	ADP
ejpam-4245	153	25	the	the	DET
ejpam-4245	153	26	iterative	iterative	ADJ
ejpam-4245	153	27	scheme	scheme	NOUN
ejpam-4245	153	28	in	in	ADP
ejpam-4245	153	29	equation	equation	NOUN
ejpam-4245	153	30	(	(	PUNCT
ejpam-4245	153	31	12	12	NUM
ejpam-4245	153	32	)	)	PUNCT
ejpam-4245	153	33	.	.	PUNCT
ejpam-4245	154	1	let	let	VERB
ejpam-4245	154	2	the	the	DET
ejpam-4245	154	3	initial	initial	ADJ
ejpam-4245	154	4	approximation	approximation	NOUN
ejpam-4245	154	5	be	be	AUX
ejpam-4245	154	6	given	give	VERB
ejpam-4245	154	7	as	as	ADP
ejpam-4245	154	8	a	a	DET
ejpam-4245	154	9	power	power	NOUN
ejpam-4245	154	10	series	series	NOUN
ejpam-4245	154	11	of	of	ADP
ejpam-4245	154	12	the	the	DET
ejpam-4245	154	13	form	form	NOUN
ejpam-4245	154	14	u0	u0	ADJ
ejpam-4245	154	15	=	=	PROPN
ejpam-4245	154	16	u	u	PROPN
ejpam-4245	154	17	[	[	PUNCT
ejpam-4245	154	18	n∑	n∑	NOUN
ejpam-4245	154	19	1=0	1=0	NUM
ejpam-4245	154	20	αix	αix	NOUN
ejpam-4245	154	21	i	i	X
ejpam-4245	154	22	]	]	X
ejpam-4245	154	23	(	(	PUNCT
ejpam-4245	154	24	13	13	NUM
ejpam-4245	154	25	)	)	PUNCT
ejpam-4245	154	26	where	where	SCONJ
ejpam-4245	154	27	x	x	X
ejpam-4245	154	28	=	=	PRON
ejpam-4245	154	29	(	(	PUNCT
ejpam-4245	154	30	γ	γ	NOUN
ejpam-4245	154	31	r	r	NOUN
ejpam-4245	154	32	)	)	PUNCT
ejpam-4245	154	33	defines	define	VERB
ejpam-4245	154	34	the	the	DET
ejpam-4245	154	35	velocity	velocity	NOUN
ejpam-4245	154	36	profile	profile	NOUN
ejpam-4245	154	37	in	in	ADP
ejpam-4245	154	38	the	the	DET
ejpam-4245	154	39	axial	axial	ADJ
ejpam-4245	154	40	direction	direction	NOUN
ejpam-4245	154	41	,	,	PUNCT
ejpam-4245	154	42	and	and	CCONJ
ejpam-4245	154	43	n	n	PRON
ejpam-4245	154	44	is	be	AUX
ejpam-4245	154	45	the	the	DET
ejpam-4245	154	46	degree	degree	NOUN
ejpam-4245	154	47	of	of	ADP
ejpam-4245	154	48	the	the	DET
ejpam-4245	154	49	velocity	velocity	NOUN
ejpam-4245	154	50	profile	profile	NOUN
ejpam-4245	154	51	polynomials	polynomial	NOUN
ejpam-4245	154	52	.	.	PUNCT
ejpam-4245	155	1	j.	j.	PROPN
ejpam-4245	155	2	tsetimi	tsetimi	PROPN
ejpam-4245	155	3	,	,	PUNCT
ejpam-4245	155	4	e.	e.	PROPN
ejpam-4245	155	5	j.	j.	PROPN
ejpam-4245	155	6	mamadu	mamadu	PROPN
ejpam-4245	155	7	/	/	SYM
ejpam-4245	155	8	eur	eur	PROPN
ejpam-4245	155	9	.	.	PUNCT
ejpam-4245	156	1	j.	j.	PROPN
ejpam-4245	156	2	pure	pure	PROPN
ejpam-4245	156	3	appl	appl	PROPN
ejpam-4245	156	4	.	.	PROPN
ejpam-4245	156	5	math	math	PROPN
ejpam-4245	156	6	,	,	PUNCT
ejpam-4245	156	7	15	15	NUM
ejpam-4245	156	8	(	(	PUNCT
ejpam-4245	156	9	1	1	NUM
ejpam-4245	156	10	)	)	PUNCT
ejpam-4245	156	11	(	(	PUNCT
ejpam-4245	156	12	2022	2022	NUM
ejpam-4245	156	13	)	)	PUNCT
ejpam-4245	156	14	,	,	PUNCT
ejpam-4245	156	15	314	314	NUM
ejpam-4245	156	16	-	-	SYM
ejpam-4245	156	17	327	327	NUM
ejpam-4245	156	18	321	321	NUM
ejpam-4245	156	19	if	if	SCONJ
ejpam-4245	156	20	we	we	PRON
ejpam-4245	156	21	choose	choose	VERB
ejpam-4245	156	22	n	n	NOUN
ejpam-4245	156	23	=	=	SYM
ejpam-4245	156	24	4	4	NUM
ejpam-4245	156	25	arbitrarily	arbitrarily	ADV
ejpam-4245	156	26	,	,	PUNCT
ejpam-4245	156	27	then	then	ADV
ejpam-4245	156	28	u0	u0	ADJ
ejpam-4245	156	29	=	=	PUNCT
ejpam-4245	156	30	(	(	PUNCT
ejpam-4245	156	31	α0	α0	PROPN
ejpam-4245	156	32	+	+	CCONJ
ejpam-4245	156	33	α1(x	α1(x	NUM
ejpam-4245	156	34	)	)	PUNCT
ejpam-4245	156	35	+	+	CCONJ
ejpam-4245	157	1	α2(x	α2(x	NOUN
ejpam-4245	157	2	)	)	PUNCT
ejpam-4245	157	3	2	2	NUM
ejpam-4245	157	4	+	+	SYM
ejpam-4245	157	5	α3(x	α3(x	PROPN
ejpam-4245	157	6	)	)	PUNCT
ejpam-4245	157	7	3	3	NUM
ejpam-4245	157	8	+	+	SYM
ejpam-4245	157	9	α4(x	α4(x	NUM
ejpam-4245	157	10	)	)	PUNCT
ejpam-4245	157	11	4	4	NUM
ejpam-4245	157	12	)	)	PUNCT
ejpam-4245	157	13	u	u	PROPN
ejpam-4245	157	14	⇒	⇒	X
ejpam-4245	157	15	u0	u0	PROPN
ejpam-4245	157	16	=	=	SYM
ejpam-4245	157	17	(	(	PUNCT
ejpam-4245	157	18	α0	α0	ADJ
ejpam-4245	157	19	+	+	NUM
ejpam-4245	157	20	α1	α1	PROPN
ejpam-4245	157	21	(	(	PUNCT
ejpam-4245	157	22	γ	γ	NOUN
ejpam-4245	157	23	r	r	NOUN
ejpam-4245	157	24	)	)	PUNCT
ejpam-4245	158	1	+	+	CCONJ
ejpam-4245	158	2	α2	α2	ADJ
ejpam-4245	158	3	(	(	PUNCT
ejpam-4245	158	4	γ	γ	NOUN
ejpam-4245	158	5	r	r	NOUN
ejpam-4245	158	6	)	)	PUNCT
ejpam-4245	158	7	2	2	NUM
ejpam-4245	158	8	+	+	CCONJ
ejpam-4245	158	9	α3	α3	NOUN
ejpam-4245	158	10	(	(	PUNCT
ejpam-4245	158	11	γ	γ	NOUN
ejpam-4245	158	12	r	r	NOUN
ejpam-4245	158	13	)	)	PUNCT
ejpam-4245	158	14	3	3	NUM
ejpam-4245	158	15	+	+	NUM
ejpam-4245	158	16	α4	α4	NOUN
ejpam-4245	158	17	(	(	PUNCT
ejpam-4245	158	18	γ	γ	NOUN
ejpam-4245	158	19	r	r	NOUN
ejpam-4245	158	20	)	)	PUNCT
ejpam-4245	158	21	4	4	NUM
ejpam-4245	158	22	)	)	PUNCT
ejpam-4245	158	23	u	u	NOUN
ejpam-4245	158	24	(	(	PUNCT
ejpam-4245	158	25	14	14	NUM
ejpam-4245	158	26	)	)	PUNCT
ejpam-4245	158	27	hence	hence	ADV
ejpam-4245	158	28	,	,	PUNCT
ejpam-4245	158	29	the	the	DET
ejpam-4245	158	30	iterative	iterative	NOUN
ejpam-4245	158	31	scheme	scheme	NOUN
ejpam-4245	158	32	(	(	PUNCT
ejpam-4245	158	33	vim	vim	NOUN
ejpam-4245	158	34	)	)	PUNCT
ejpam-4245	158	35	becomes	become	VERB
ejpam-4245	158	36	u0	u0	ADJ
ejpam-4245	158	37	=	=	PUNCT
ejpam-4245	158	38	(	(	PUNCT
ejpam-4245	158	39	α0	α0	ADJ
ejpam-4245	158	40	+	+	NUM
ejpam-4245	158	41	α1	α1	PROPN
ejpam-4245	158	42	(	(	PUNCT
ejpam-4245	158	43	γ	γ	NOUN
ejpam-4245	158	44	r	r	NOUN
ejpam-4245	158	45	)	)	PUNCT
ejpam-4245	159	1	+	+	CCONJ
ejpam-4245	159	2	α2	α2	ADJ
ejpam-4245	159	3	(	(	PUNCT
ejpam-4245	159	4	γ	γ	NOUN
ejpam-4245	159	5	r	r	NOUN
ejpam-4245	159	6	)	)	PUNCT
ejpam-4245	159	7	2	2	NUM
ejpam-4245	159	8	+	+	CCONJ
ejpam-4245	159	9	α3	α3	NOUN
ejpam-4245	159	10	(	(	PUNCT
ejpam-4245	159	11	γ	γ	NOUN
ejpam-4245	159	12	r	r	NOUN
ejpam-4245	159	13	)	)	PUNCT
ejpam-4245	159	14	3	3	NUM
ejpam-4245	159	15	+	+	NUM
ejpam-4245	159	16	α4	α4	NOUN
ejpam-4245	159	17	(	(	PUNCT
ejpam-4245	159	18	γ	γ	NOUN
ejpam-4245	159	19	r	r	NOUN
ejpam-4245	159	20	)	)	PUNCT
ejpam-4245	159	21	4	4	NUM
ejpam-4245	159	22	)	)	PUNCT
ejpam-4245	159	23	u	u	NOUN
ejpam-4245	159	24	,	,	PUNCT
ejpam-4245	159	25	u(n+	u(n+	NOUN
ejpam-4245	159	26	1	1	NUM
ejpam-4245	159	27	)	)	PUNCT
ejpam-4245	159	28	=	=	PRON
ejpam-4245	160	1	un	un	PROPN
ejpam-4245	160	2	∫	∫	PROPN
ejpam-4245	160	3	r	r	NOUN
ejpam-4245	160	4	0	0	PROPN
ejpam-4245	160	5	(	(	PUNCT
ejpam-4245	160	6	un	un	PROPN
ejpam-4245	160	7	∂un	∂un	PROPN
ejpam-4245	160	8	∂z	∂z	PROPN
ejpam-4245	161	1	+	+	CCONJ
ejpam-4245	161	2	γ	γ	PROPN
ejpam-4245	161	3	(	(	PUNCT
ejpam-4245	161	4	∂	∂	NUM
ejpam-4245	161	5	∂z	∂z	PROPN
ejpam-4245	161	6	un	un	PROPN
ejpam-4245	161	7	+	+	CCONJ
ejpam-4245	161	8	∂	∂	PROPN
ejpam-4245	161	9	∂γ	∂γ	PROPN
ejpam-4245	161	10	un	un	PROPN
ejpam-4245	161	11	)	)	PUNCT
ejpam-4245	161	12	∂un	∂un	VERB
ejpam-4245	161	13	∂γ	∂γ	PROPN
ejpam-4245	162	1	+	+	CCONJ
ejpam-4245	162	2	∂p	∂p	PROPN
ejpam-4245	162	3	∂z	∂z	PROPN
ejpam-4245	162	4	−	−	NOUN
ejpam-4245	162	5	2	2	NUM
ejpam-4245	162	6	re	re	X
ejpam-4245	162	7	(	(	PUNCT
ejpam-4245	162	8	∂2un	∂2un	ADP
ejpam-4245	162	9	∂γ2	∂γ2	PROPN
ejpam-4245	162	10	+	+	NUM
ejpam-4245	162	11	1	1	NUM
ejpam-4245	162	12	γ	γ	NOUN
ejpam-4245	162	13	∂un	∂un	PROPN
ejpam-4245	162	14	∂γ	∂γ	PROPN
ejpam-4245	162	15	+	+	CCONJ
ejpam-4245	162	16	∂2un	∂2un	ADJ
ejpam-4245	162	17	∂z2	∂z2	NOUN
ejpam-4245	162	18	)	)	PUNCT
ejpam-4245	162	19	)	)	PUNCT
ejpam-4245	163	1	dγ	dγ	PROPN
ejpam-4245	163	2	,	,	PUNCT
ejpam-4245	163	3	n	n	CCONJ
ejpam-4245	163	4	⩾	⩾	NOUN
ejpam-4245	163	5	0	0	PUNCT
ejpam-4245	163	6	(	(	PUNCT
ejpam-4245	163	7	15	15	NUM
ejpam-4245	163	8	)	)	PUNCT
ejpam-4245	163	9	since	since	SCONJ
ejpam-4245	163	10	our	our	PRON
ejpam-4245	163	11	interest	interest	NOUN
ejpam-4245	163	12	is	be	AUX
ejpam-4245	163	13	axial	axial	ADJ
ejpam-4245	163	14	direction	direction	NOUN
ejpam-4245	163	15	,	,	PUNCT
ejpam-4245	163	16	the	the	DET
ejpam-4245	163	17	flow	flow	NOUN
ejpam-4245	163	18	in	in	ADP
ejpam-4245	163	19	radial	radial	ADJ
ejpam-4245	163	20	direction	direction	NOUN
ejpam-4245	163	21	is	be	AUX
ejpam-4245	163	22	assumed	assume	VERB
ejpam-4245	163	23	constants	constant	NOUN
ejpam-4245	163	24	.	.	PUNCT
ejpam-4245	164	1	hence	hence	ADV
ejpam-4245	164	2	,	,	PUNCT
ejpam-4245	164	3	we	we	PRON
ejpam-4245	164	4	execute	execute	VERB
ejpam-4245	164	5	equation	equation	NOUN
ejpam-4245	164	6	(	(	PUNCT
ejpam-4245	164	7	15	15	NUM
ejpam-4245	164	8	)	)	PUNCT
ejpam-4245	164	9	with	with	ADP
ejpam-4245	164	10	the	the	DET
ejpam-4245	164	11	aid	aid	NOUN
ejpam-4245	164	12	of	of	ADP
ejpam-4245	164	13	maple	maple	NOUN
ejpam-4245	164	14	18	18	NUM
ejpam-4245	164	15	software	software	NOUN
ejpam-4245	164	16	for	for	ADP
ejpam-4245	164	17	n	n	NOUN
ejpam-4245	164	18	=	=	SYM
ejpam-4245	164	19	0	0	NUM
ejpam-4245	164	20	,	,	PUNCT
ejpam-4245	164	21	1	1	NUM
ejpam-4245	164	22	,	,	PUNCT
ejpam-4245	164	23	2	2	NUM
ejpam-4245	164	24	,	,	PUNCT
ejpam-4245	164	25	3	3	NUM
ejpam-4245	164	26	,	,	PUNCT
ejpam-4245	164	27	·	·	PUNCT
ejpam-4245	164	28	·	·	PUNCT
ejpam-4245	164	29	·	·	PUNCT
ejpam-4245	164	30	.	.	PUNCT
ejpam-4245	165	1	thus	thus	ADV
ejpam-4245	165	2	for	for	ADP
ejpam-4245	165	3	every	every	DET
ejpam-4245	165	4	value	value	NOUN
ejpam-4245	165	5	of	of	ADP
ejpam-4245	165	6	n	n	NOUN
ejpam-4245	165	7	⩾	⩾	NOUN
ejpam-4245	165	8	0	0	NUM
ejpam-4245	165	9	,	,	PUNCT
ejpam-4245	165	10	we	we	PRON
ejpam-4245	165	11	obtain	obtain	VERB
ejpam-4245	165	12	un+1	un+1	NOUN
ejpam-4245	165	13	=	=	SYM
ejpam-4245	165	14	un	un	PROPN
ejpam-4245	165	15	.	.	PROPN
ejpam-4245	166	1	that	that	ADV
ejpam-4245	166	2	is	be	AUX
ejpam-4245	166	3	,	,	PUNCT
ejpam-4245	166	4	u0	u0	ADJ
ejpam-4245	166	5	=	=	NOUN
ejpam-4245	166	6	u1	u1	NOUN
ejpam-4245	166	7	=	=	PROPN
ejpam-4245	166	8	u2	u2	PROPN
ejpam-4245	166	9	=	=	SYM
ejpam-4245	166	10	·	·	PUNCT
ejpam-4245	166	11	·	·	PUNCT
ejpam-4245	166	12	·	·	PUNCT
ejpam-4245	167	1	=	=	PUNCT
ejpam-4245	167	2	(	(	PUNCT
ejpam-4245	167	3	α0	α0	ADJ
ejpam-4245	167	4	+	+	NUM
ejpam-4245	167	5	α1	α1	PROPN
ejpam-4245	167	6	(	(	PUNCT
ejpam-4245	167	7	γ	γ	NOUN
ejpam-4245	167	8	r	r	NOUN
ejpam-4245	167	9	)	)	PUNCT
ejpam-4245	168	1	+	+	CCONJ
ejpam-4245	168	2	α2	α2	ADJ
ejpam-4245	168	3	(	(	PUNCT
ejpam-4245	168	4	γ	γ	NOUN
ejpam-4245	168	5	r	r	NOUN
ejpam-4245	168	6	)	)	PUNCT
ejpam-4245	168	7	2	2	NUM
ejpam-4245	168	8	+	+	CCONJ
ejpam-4245	168	9	α3	α3	NOUN
ejpam-4245	168	10	(	(	PUNCT
ejpam-4245	168	11	γ	γ	NOUN
ejpam-4245	168	12	r	r	NOUN
ejpam-4245	168	13	)	)	PUNCT
ejpam-4245	168	14	3	3	NUM
ejpam-4245	168	15	+	+	NUM
ejpam-4245	168	16	α4	α4	NOUN
ejpam-4245	168	17	(	(	PUNCT
ejpam-4245	168	18	γ	γ	NOUN
ejpam-4245	168	19	r	r	NOUN
ejpam-4245	168	20	)	)	PUNCT
ejpam-4245	168	21	4	4	NUM
ejpam-4245	168	22	)	)	PUNCT
ejpam-4245	168	23	u	u	NOUN
ejpam-4245	168	24	(	(	PUNCT
ejpam-4245	168	25	16	16	NUM
ejpam-4245	168	26	)	)	PUNCT
ejpam-4245	168	27	this	this	PRON
ejpam-4245	168	28	implies	imply	VERB
ejpam-4245	168	29	our	our	PRON
ejpam-4245	168	30	approximate	approximate	ADJ
ejpam-4245	168	31	solution	solution	NOUN
ejpam-4245	168	32	for	for	ADP
ejpam-4245	168	33	n	n	NOUN
ejpam-4245	168	34	⩾	⩾	NOUN
ejpam-4245	168	35	0	0	NUM
ejpam-4245	168	36	is	be	AUX
ejpam-4245	168	37	the	the	DET
ejpam-4245	168	38	velocity	velocity	NOUN
ejpam-4245	168	39	profile	profile	NOUN
ejpam-4245	168	40	polynomial	polynomial	NOUN
ejpam-4245	168	41	of	of	ADP
ejpam-4245	168	42	the	the	DET
ejpam-4245	168	43	fourth	fourth	ADJ
ejpam-4245	168	44	-	-	PUNCT
ejpam-4245	168	45	degree	degree	NOUN
ejpam-4245	168	46	,	,	PUNCT
ejpam-4245	168	47	that	that	ADV
ejpam-4245	168	48	is	is	ADV
ejpam-4245	168	49	,	,	PUNCT
ejpam-4245	168	50	u	u	NOUN
ejpam-4245	168	51	u	u	NOUN
ejpam-4245	168	52	=	=	PROPN
ejpam-4245	168	53	α0	α0	PROPN
ejpam-4245	168	54	+	+	NUM
ejpam-4245	168	55	α1	α1	PROPN
ejpam-4245	168	56	(	(	PUNCT
ejpam-4245	168	57	γ	γ	NOUN
ejpam-4245	168	58	r	r	NOUN
ejpam-4245	168	59	)	)	PUNCT
ejpam-4245	169	1	+	+	CCONJ
ejpam-4245	169	2	α2	α2	ADJ
ejpam-4245	169	3	(	(	PUNCT
ejpam-4245	169	4	γ	γ	NOUN
ejpam-4245	169	5	r	r	NOUN
ejpam-4245	169	6	)	)	PUNCT
ejpam-4245	169	7	2	2	NUM
ejpam-4245	169	8	+	+	CCONJ
ejpam-4245	169	9	α3	α3	NOUN
ejpam-4245	169	10	(	(	PUNCT
ejpam-4245	169	11	γ	γ	NOUN
ejpam-4245	169	12	r	r	NOUN
ejpam-4245	169	13	)	)	PUNCT
ejpam-4245	169	14	3	3	NUM
ejpam-4245	169	15	+	+	NUM
ejpam-4245	169	16	α4	α4	NOUN
ejpam-4245	169	17	(	(	PUNCT
ejpam-4245	169	18	γ	γ	NOUN
ejpam-4245	169	19	r	r	NOUN
ejpam-4245	169	20	)	)	PUNCT
ejpam-4245	169	21	4	4	NUM
ejpam-4245	169	22	(	(	PUNCT
ejpam-4245	169	23	17	17	NUM
ejpam-4245	169	24	)	)	PUNCT
ejpam-4245	169	25	now	now	ADV
ejpam-4245	169	26	,	,	PUNCT
ejpam-4245	169	27	applying	apply	VERB
ejpam-4245	169	28	the	the	DET
ejpam-4245	169	29	prescribed	prescribed	ADJ
ejpam-4245	169	30	boundary	boundary	ADJ
ejpam-4245	169	31	conditions	condition	NOUN
ejpam-4245	169	32	to	to	ADP
ejpam-4245	169	33	equation	equation	NOUN
ejpam-4245	169	34	(	(	PUNCT
ejpam-4245	169	35	17	17	NUM
ejpam-4245	169	36	)	)	PUNCT
ejpam-4245	169	37	to	to	PART
ejpam-4245	169	38	get	get	VERB
ejpam-4245	169	39	αi	αi	NOUN
ejpam-4245	169	40	,	,	PUNCT
ejpam-4245	169	41	i	i	PRON
ejpam-4245	169	42	=	=	NOUN
ejpam-4245	169	43	0	0	NUM
ejpam-4245	169	44	,	,	PUNCT
ejpam-4245	169	45	1	1	NUM
ejpam-4245	169	46	,	,	PUNCT
ejpam-4245	169	47	2	2	NUM
ejpam-4245	169	48	,	,	PUNCT
ejpam-4245	169	49	3	3	NUM
ejpam-4245	169	50	,	,	PUNCT
ejpam-4245	169	51	4	4	NUM
ejpam-4245	169	52	.	.	PUNCT
ejpam-4245	170	1	at	at	ADP
ejpam-4245	170	2	the	the	DET
ejpam-4245	170	3	boundary	boundary	ADJ
ejpam-4245	170	4	u	u	NOUN
ejpam-4245	170	5	=	=	PROPN
ejpam-4245	170	6	u	u	PROPN
ejpam-4245	170	7	,	,	PUNCT
ejpam-4245	170	8	γ	γ	X
ejpam-4245	170	9	=	=	SYM
ejpam-4245	170	10	0	0	NUM
ejpam-4245	170	11	,	,	PUNCT
ejpam-4245	170	12	we	we	PRON
ejpam-4245	170	13	have	have	VERB
ejpam-4245	170	14	α0	α0	ADJ
ejpam-4245	170	15	=	=	SYM
ejpam-4245	170	16	1	1	X
ejpam-4245	170	17	.	.	PUNCT
ejpam-4245	171	1	at	at	ADP
ejpam-4245	171	2	the	the	DET
ejpam-4245	171	3	boundary	boundary	ADJ
ejpam-4245	171	4	u	u	NOUN
ejpam-4245	171	5	=	=	NOUN
ejpam-4245	171	6	0,γ	0,γ	X
ejpam-4245	171	7	=	=	SYM
ejpam-4245	171	8	r	r	NOUN
ejpam-4245	171	9	,	,	PUNCT
ejpam-4245	171	10	we	we	PRON
ejpam-4245	171	11	have	have	VERB
ejpam-4245	171	12	1	1	NUM
ejpam-4245	171	13	+	+	NUM
ejpam-4245	171	14	α1	α1	PROPN
ejpam-4245	171	15	+	+	CCONJ
ejpam-4245	171	16	α2	α2	ADJ
ejpam-4245	171	17	+	+	CCONJ
ejpam-4245	171	18	α3	α3	ADJ
ejpam-4245	171	19	+	+	CCONJ
ejpam-4245	171	20	α4	α4	NOUN
ejpam-4245	171	21	=	=	SYM
ejpam-4245	171	22	0	0	NUM
ejpam-4245	171	23	(	(	PUNCT
ejpam-4245	171	24	18	18	NUM
ejpam-4245	171	25	)	)	PUNCT
ejpam-4245	171	26	at	at	ADP
ejpam-4245	171	27	the	the	DET
ejpam-4245	171	28	boundary	boundary	ADJ
ejpam-4245	171	29	∂u	∂u	PROPN
ejpam-4245	171	30	∂γ	∂γ	PROPN
ejpam-4245	172	1	=	=	SYM
ejpam-4245	172	2	0	0	PROPN
ejpam-4245	172	3	,	,	PUNCT
ejpam-4245	172	4	γ	γ	NOUN
ejpam-4245	172	5	=	=	SYM
ejpam-4245	172	6	0	0	NUM
ejpam-4245	172	7	,	,	PUNCT
ejpam-4245	172	8	we	we	PRON
ejpam-4245	172	9	have	have	VERB
ejpam-4245	172	10	α1	α1	PROPN
ejpam-4245	172	11	=	=	SYM
ejpam-4245	172	12	0	0	X
ejpam-4245	172	13	.	.	PUNCT
ejpam-4245	173	1	at	at	ADP
ejpam-4245	173	2	the	the	DET
ejpam-4245	173	3	boundary	boundary	ADJ
ejpam-4245	173	4	∂2u	∂2u	PROPN
ejpam-4245	173	5	∂γ2	∂γ2	PROPN
ejpam-4245	173	6	=	=	SYM
ejpam-4245	173	7	0	0	NUM
ejpam-4245	173	8	,	,	PUNCT
ejpam-4245	173	9	r	r	NOUN
ejpam-4245	173	10	=	=	SYM
ejpam-4245	173	11	0	0	NUM
ejpam-4245	173	12	,	,	PUNCT
ejpam-4245	173	13	we	we	PRON
ejpam-4245	173	14	have	have	VERB
ejpam-4245	173	15	∂3u	∂3u	ADJ
ejpam-4245	173	16	∂γ3	∂γ3	NOUN
ejpam-4245	173	17	=	=	SYM
ejpam-4245	173	18	6α3	6α3	NUM
ejpam-4245	173	19	r3	r3	PROPN
ejpam-4245	173	20	+	+	CCONJ
ejpam-4245	173	21	24γα4	24γα4	NUM
ejpam-4245	173	22	r4	r4	NOUN
ejpam-4245	173	23	=	=	NOUN
ejpam-4245	173	24	0	0	PROPN
ejpam-4245	173	25	.	.	PUNCT
ejpam-4245	174	1	but	but	CCONJ
ejpam-4245	174	2	r	r	NOUN
ejpam-4245	174	3	=	=	SYM
ejpam-4245	174	4	0	0	NUM
ejpam-4245	174	5	⇒	⇒	NOUN
ejpam-4245	174	6	6α3	6α3	NUM
ejpam-4245	174	7	r3	r3	PROPN
ejpam-4245	174	8	=	=	SYM
ejpam-4245	174	9	0	0	NUM
ejpam-4245	174	10	⇒	⇒	NOUN
ejpam-4245	174	11	α3	α3	NOUN
ejpam-4245	174	12	=	=	SYM
ejpam-4245	174	13	0	0	X
ejpam-4245	174	14	.	.	PUNCT
ejpam-4245	175	1	since	since	ADV
ejpam-4245	175	2	,	,	PUNCT
ejpam-4245	175	3	α0	α0	PROPN
ejpam-4245	175	4	=	=	SYM
ejpam-4245	175	5	1	1	NUM
ejpam-4245	175	6	,	,	PUNCT
ejpam-4245	175	7	α1	α1	PROPN
ejpam-4245	175	8	=	=	SYM
ejpam-4245	175	9	0	0	NUM
ejpam-4245	175	10	,	,	PUNCT
ejpam-4245	175	11	α3	α3	NOUN
ejpam-4245	175	12	=	=	SYM
ejpam-4245	175	13	0	0	NUM
ejpam-4245	175	14	,	,	PUNCT
ejpam-4245	175	15	then	then	ADV
ejpam-4245	175	16	we	we	PRON
ejpam-4245	175	17	have	have	VERB
ejpam-4245	175	18	from	from	ADP
ejpam-4245	175	19	equation	equation	NOUN
ejpam-4245	175	20	(	(	PUNCT
ejpam-4245	175	21	17	17	NUM
ejpam-4245	175	22	)	)	PUNCT
ejpam-4245	175	23	,	,	PUNCT
ejpam-4245	175	24	α2	α2	PROPN
ejpam-4245	175	25	=	=	SYM
ejpam-4245	175	26	−1−	−1−	PROPN
ejpam-4245	175	27	α4	α4	PROPN
ejpam-4245	175	28	(	(	PUNCT
ejpam-4245	175	29	19	19	NUM
ejpam-4245	175	30	)	)	PUNCT
ejpam-4245	175	31	j.	j.	PROPN
ejpam-4245	175	32	tsetimi	tsetimi	PROPN
ejpam-4245	175	33	,	,	PUNCT
ejpam-4245	175	34	e.	e.	PROPN
ejpam-4245	175	35	j.	j.	PROPN
ejpam-4245	175	36	mamadu	mamadu	PROPN
ejpam-4245	175	37	/	/	SYM
ejpam-4245	175	38	eur	eur	PROPN
ejpam-4245	175	39	.	.	PUNCT
ejpam-4245	176	1	j.	j.	PROPN
ejpam-4245	176	2	pure	pure	PROPN
ejpam-4245	176	3	appl	appl	PROPN
ejpam-4245	176	4	.	.	PROPN
ejpam-4245	176	5	math	math	PROPN
ejpam-4245	176	6	,	,	PUNCT
ejpam-4245	176	7	15	15	NUM
ejpam-4245	176	8	(	(	PUNCT
ejpam-4245	176	9	1	1	NUM
ejpam-4245	176	10	)	)	PUNCT
ejpam-4245	176	11	(	(	PUNCT
ejpam-4245	176	12	2022	2022	NUM
ejpam-4245	176	13	)	)	PUNCT
ejpam-4245	176	14	,	,	PUNCT
ejpam-4245	176	15	314	314	NUM
ejpam-4245	176	16	-	-	SYM
ejpam-4245	176	17	327	327	NUM
ejpam-4245	176	18	322	322	NUM
ejpam-4245	176	19	at	at	ADP
ejpam-4245	176	20	the	the	DET
ejpam-4245	176	21	boundary	boundary	ADJ
ejpam-4245	176	22	∂p	∂p	PROPN
ejpam-4245	176	23	∂z	∂z	PROPN
ejpam-4245	177	1	=	=	SYM
ejpam-4245	177	2	2	2	NUM
ejpam-4245	177	3	re	re	NOUN
ejpam-4245	177	4	1	1	NUM
ejpam-4245	177	5	γ	γ	PROPN
ejpam-4245	177	6	∂	∂	NOUN
ejpam-4245	177	7	∂γ	∂γ	PROPN
ejpam-4245	177	8	(	(	PUNCT
ejpam-4245	177	9	γ	γ	PROPN
ejpam-4245	177	10	∂u	∂u	PROPN
ejpam-4245	177	11	∂γ	∂γ	PROPN
ejpam-4245	177	12	)	)	PUNCT
ejpam-4245	177	13	,	,	PUNCT
ejpam-4245	177	14	γ	γ	X
ejpam-4245	177	15	=	=	SYM
ejpam-4245	177	16	r	r	NOUN
ejpam-4245	177	17	,	,	PUNCT
ejpam-4245	177	18	we	we	PRON
ejpam-4245	177	19	have	have	AUX
ejpam-4245	177	20	reγ∂p	reγ∂p	VERB
ejpam-4245	177	21	2∂z	2∂z	NUM
ejpam-4245	177	22	=	=	SYM
ejpam-4245	177	23	∂	∂	NUM
ejpam-4245	177	24	∂γ	∂γ	NOUN
ejpam-4245	177	25	(	(	PUNCT
ejpam-4245	177	26	γ	γ	X
ejpam-4245	177	27	∂u	∂u	PROPN
ejpam-4245	177	28	∂γ	∂γ	PROPN
ejpam-4245	177	29	)	)	PUNCT
ejpam-4245	178	1	=	=	PUNCT
ejpam-4245	178	2	γ	γ	X
ejpam-4245	178	3	∂2u	∂2u	NOUN
ejpam-4245	178	4	∂γ2	∂γ2	PROPN
ejpam-4245	178	5	+	+	CCONJ
ejpam-4245	178	6	γ	γ	X
ejpam-4245	178	7	∂u	∂u	PROPN
ejpam-4245	178	8	∂γ	∂γ	PROPN
ejpam-4245	178	9	,	,	PUNCT
ejpam-4245	178	10	r	r	NOUN
ejpam-4245	178	11	=	=	SYM
ejpam-4245	178	12	r	r	NOUN
ejpam-4245	178	13	⇒	⇒	NOUN
ejpam-4245	178	14	rerγ∂p	rerγ∂p	PROPN
ejpam-4245	178	15	2∂z	2∂z	NUM
ejpam-4245	178	16	=	=	SYM
ejpam-4245	178	17	∂	∂	NUM
ejpam-4245	178	18	∂γ	∂γ	NOUN
ejpam-4245	178	19	(	(	PUNCT
ejpam-4245	178	20	γ	γ	X
ejpam-4245	178	21	∂u	∂u	PROPN
ejpam-4245	178	22	∂γ	∂γ	PROPN
ejpam-4245	178	23	)	)	PUNCT
ejpam-4245	179	1	=	=	PUNCT
ejpam-4245	179	2	r	r	NOUN
ejpam-4245	179	3	(	(	PUNCT
ejpam-4245	179	4	2uα2	2uα2	NUM
ejpam-4245	179	5	r2	r2	X
ejpam-4245	179	6	+	+	PROPN
ejpam-4245	179	7	12α4	12α4	NUM
ejpam-4245	179	8	r2	r2	NOUN
ejpam-4245	179	9	+	+	CCONJ
ejpam-4245	179	10	2uα2	2uα2	NUM
ejpam-4245	179	11	r	r	NOUN
ejpam-4245	179	12	+	+	CCONJ
ejpam-4245	179	13	4uα2	4uα2	NUM
ejpam-4245	179	14	r	r	NOUN
ejpam-4245	179	15	)	)	PUNCT
ejpam-4245	179	16	⇒	⇒	NOUN
ejpam-4245	179	17	rerγ∂p	rerγ∂p	PROPN
ejpam-4245	180	1	2∂z	2∂z	NUM
ejpam-4245	181	1	=	=	NOUN
ejpam-4245	181	2	2uα2	2uα2	NUM
ejpam-4245	181	3	+	+	CCONJ
ejpam-4245	181	4	12α4	12α4	NUM
ejpam-4245	181	5	+	+	CCONJ
ejpam-4245	181	6	2uα2	2uα2	NUM
ejpam-4245	181	7	+	+	CCONJ
ejpam-4245	181	8	4uα4	4uα4	NUM
ejpam-4245	181	9	r	r	NOUN
ejpam-4245	181	10	⇒	⇒	X
ejpam-4245	181	11	rer	rer	X
ejpam-4245	181	12	2γ∂p	2γ∂p	NUM
ejpam-4245	181	13	2u∂z	2u∂z	NUM
ejpam-4245	181	14	=	=	SYM
ejpam-4245	181	15	2α2	2α2	NUM
ejpam-4245	182	1	+	+	CCONJ
ejpam-4245	182	2	16α4	16α4	NUM
ejpam-4245	182	3	⇒	⇒	NOUN
ejpam-4245	182	4	rer	rer	PROPN
ejpam-4245	182	5	2γ∂p	2γ∂p	PROPN
ejpam-4245	182	6	8u∂z	8u∂z	NUM
ejpam-4245	182	7	=	=	SYM
ejpam-4245	182	8	α2	α2	PROPN
ejpam-4245	182	9	+	+	CCONJ
ejpam-4245	182	10	4α4	4α4	NUM
ejpam-4245	182	11	(	(	PUNCT
ejpam-4245	182	12	20	20	NUM
ejpam-4245	182	13	)	)	PUNCT
ejpam-4245	182	14	since	since	SCONJ
ejpam-4245	182	15	,	,	PUNCT
ejpam-4245	182	16	α2	α2	PROPN
ejpam-4245	182	17	=	=	SYM
ejpam-4245	182	18	−1−	−1−	PROPN
ejpam-4245	182	19	α4	α4	PROPN
ejpam-4245	182	20	,	,	PUNCT
ejpam-4245	182	21	equation	equation	NOUN
ejpam-4245	182	22	(	(	PUNCT
ejpam-4245	182	23	20	20	NUM
ejpam-4245	182	24	)	)	PUNCT
ejpam-4245	182	25	becomes	become	VERB
ejpam-4245	182	26	rer	rer	PROPN
ejpam-4245	182	27	2γ∂p	2γ∂p	NUM
ejpam-4245	182	28	8u∂z	8u∂z	NUM
ejpam-4245	183	1	+	+	CCONJ
ejpam-4245	183	2	1	1	NUM
ejpam-4245	183	3	=	=	SYM
ejpam-4245	183	4	3α4	3α4	NUM
ejpam-4245	183	5	(	(	PUNCT
ejpam-4245	183	6	21	21	NUM
ejpam-4245	183	7	)	)	PUNCT
ejpam-4245	183	8	from	from	ADP
ejpam-4245	183	9	equation	equation	NOUN
ejpam-4245	183	10	(	(	PUNCT
ejpam-4245	183	11	21	21	NUM
ejpam-4245	183	12	)	)	PUNCT
ejpam-4245	183	13	,	,	PUNCT
ejpam-4245	183	14	we	we	PRON
ejpam-4245	183	15	have	have	VERB
ejpam-4245	183	16	that	that	DET
ejpam-4245	183	17	α4	α4	NOUN
ejpam-4245	183	18	=	=	SYM
ejpam-4245	183	19	reγr2∂p	reγr2∂p	NUM
ejpam-4245	184	1	8u∂z	8u∂z	NUM
ejpam-4245	185	1	+	+	CCONJ
ejpam-4245	185	2	1	1	NUM
ejpam-4245	185	3	3	3	NUM
ejpam-4245	185	4	(	(	PUNCT
ejpam-4245	185	5	22	22	NUM
ejpam-4245	185	6	)	)	PUNCT
ejpam-4245	185	7	similarly	similarly	ADV
ejpam-4245	185	8	,	,	PUNCT
ejpam-4245	185	9	α2	α2	PROPN
ejpam-4245	185	10	=	=	SYM
ejpam-4245	185	11	−4	−4	PROPN
ejpam-4245	186	1	3	3	NUM
ejpam-4245	186	2	−	−	NOUN
ejpam-4245	186	3	rer2γ∂p	rer2γ∂p	NUM
ejpam-4245	186	4	8u∂z	8u∂z	NUM
ejpam-4245	186	5	3	3	NUM
ejpam-4245	186	6	(	(	PUNCT
ejpam-4245	186	7	23	23	NUM
ejpam-4245	186	8	)	)	PUNCT
ejpam-4245	186	9	substituting	substitute	VERB
ejpam-4245	186	10	αn	αn	NOUN
ejpam-4245	186	11	,	,	PUNCT
ejpam-4245	186	12	n	n	PROPN
ejpam-4245	186	13	=	=	SYM
ejpam-4245	186	14	0(1)4	0(1)4	ADJ
ejpam-4245	186	15	,	,	PUNCT
ejpam-4245	186	16	into	into	ADP
ejpam-4245	186	17	equation	equation	NOUN
ejpam-4245	186	18	(	(	PUNCT
ejpam-4245	186	19	17	17	NUM
ejpam-4245	186	20	)	)	PUNCT
ejpam-4245	186	21	,	,	PUNCT
ejpam-4245	186	22	we	we	PRON
ejpam-4245	186	23	obtain	obtain	VERB
ejpam-4245	186	24	u	u	NOUN
ejpam-4245	186	25	u	u	NOUN
ejpam-4245	186	26	=	=	PROPN
ejpam-4245	186	27	1−	1−	NUM
ejpam-4245	186	28	4	4	NUM
ejpam-4245	186	29	3	3	NUM
ejpam-4245	186	30	−	−	NOUN
ejpam-4245	186	31	rer2γ∂p	rer2γ∂p	NUM
ejpam-4245	186	32	8u∂z	8u∂z	NUM
ejpam-4245	186	33	3	3	NUM
ejpam-4245	186	34	(	(	PUNCT
ejpam-4245	186	35	γ	γ	NOUN
ejpam-4245	186	36	r	r	NOUN
ejpam-4245	186	37	)	)	PUNCT
ejpam-4245	186	38	2	2	NUM
ejpam-4245	186	39	+	+	CCONJ
ejpam-4245	186	40	rer2γ∂p	rer2γ∂p	NUM
ejpam-4245	186	41	8u∂z	8u∂z	NUM
ejpam-4245	187	1	+	+	CCONJ
ejpam-4245	187	2	1	1	NUM
ejpam-4245	187	3	3	3	NUM
ejpam-4245	187	4	(	(	PUNCT
ejpam-4245	187	5	γ	γ	NOUN
ejpam-4245	187	6	r	r	NOUN
ejpam-4245	187	7	)	)	PUNCT
ejpam-4245	187	8	4	4	NUM
ejpam-4245	187	9	.	.	PUNCT
ejpam-4245	188	1	(	(	PUNCT
ejpam-4245	188	2	24	24	NUM
ejpam-4245	188	3	)	)	PUNCT
ejpam-4245	188	4	if	if	SCONJ
ejpam-4245	188	5	we	we	PRON
ejpam-4245	188	6	let	let	VERB
ejpam-4245	188	7	ψ	ψ	X
ejpam-4245	188	8	=	=	SYM
ejpam-4245	188	9	reγr2∂p	reγr2∂p	NUM
ejpam-4245	188	10	8u∂z	8u∂z	NUM
ejpam-4245	188	11	3	3	NUM
ejpam-4245	188	12	then	then	ADV
ejpam-4245	188	13	equation	equation	NOUN
ejpam-4245	188	14	(	(	PUNCT
ejpam-4245	188	15	24	24	NUM
ejpam-4245	188	16	)	)	PUNCT
ejpam-4245	188	17	can	can	AUX
ejpam-4245	188	18	be	be	AUX
ejpam-4245	188	19	written	write	VERB
ejpam-4245	188	20	as	as	ADP
ejpam-4245	188	21	u	u	NOUN
ejpam-4245	188	22	u	u	NOUN
ejpam-4245	188	23	=	=	PROPN
ejpam-4245	188	24	1−	1−	NUM
ejpam-4245	188	25	4	4	NUM
ejpam-4245	188	26	3	3	NUM
ejpam-4245	188	27	−	−	NOUN
ejpam-4245	188	28	ψ	ψ	SYM
ejpam-4245	188	29	3	3	NUM
ejpam-4245	188	30	(	(	PUNCT
ejpam-4245	188	31	γ	γ	NOUN
ejpam-4245	188	32	r	r	NOUN
ejpam-4245	188	33	)	)	PUNCT
ejpam-4245	188	34	2	2	NUM
ejpam-4245	188	35	+	+	CCONJ
ejpam-4245	188	36	(	(	PUNCT
ejpam-4245	188	37	−ψ−	−ψ−	NOUN
ejpam-4245	188	38	1	1	NUM
ejpam-4245	188	39	)	)	PUNCT
ejpam-4245	188	40	3	3	NUM
ejpam-4245	188	41	(	(	PUNCT
ejpam-4245	188	42	γ	γ	NOUN
ejpam-4245	188	43	r	r	NOUN
ejpam-4245	188	44	)	)	PUNCT
ejpam-4245	188	45	4	4	NUM
ejpam-4245	188	46	.	.	PUNCT
ejpam-4245	189	1	(	(	PUNCT
ejpam-4245	189	2	25	25	NUM
ejpam-4245	189	3	)	)	PUNCT
ejpam-4245	189	4	evidently	evidently	ADV
ejpam-4245	189	5	,	,	PUNCT
ejpam-4245	189	6	if	if	SCONJ
ejpam-4245	189	7	ψ	ψ	ADP
ejpam-4245	189	8	=	=	PUNCT
ejpam-4245	189	9	1[12	1[12	NUM
ejpam-4245	189	10	]	]	PUNCT
ejpam-4245	189	11	,	,	PUNCT
ejpam-4245	189	12	we	we	PRON
ejpam-4245	189	13	have	have	VERB
ejpam-4245	189	14	a	a	DET
ejpam-4245	189	15	parabolic	parabolic	ADJ
ejpam-4245	189	16	velocity	velocity	NOUN
ejpam-4245	189	17	profile	profile	NOUN
ejpam-4245	189	18	which	which	PRON
ejpam-4245	189	19	corresponds	correspond	VERB
ejpam-4245	189	20	to	to	ADP
ejpam-4245	189	21	the	the	DET
ejpam-4245	189	22	poiseuille	poiseuille	NOUN
ejpam-4245	189	23	profile	profile	VERB
ejpam-4245	189	24	u	u	NOUN
ejpam-4245	189	25	u	u	NOUN
ejpam-4245	189	26	=	=	PROPN
ejpam-4245	189	27	1−	1−	NUM
ejpam-4245	189	28	(	(	PUNCT
ejpam-4245	189	29	γ	γ	NOUN
ejpam-4245	189	30	r	r	NOUN
ejpam-4245	189	31	)	)	PUNCT
ejpam-4245	189	32	2	2	NUM
ejpam-4245	189	33	(	(	PUNCT
ejpam-4245	189	34	26	26	NUM
ejpam-4245	189	35	)	)	PUNCT
ejpam-4245	189	36	j.	j.	PROPN
ejpam-4245	189	37	tsetimi	tsetimi	PROPN
ejpam-4245	189	38	,	,	PUNCT
ejpam-4245	189	39	e.	e.	PROPN
ejpam-4245	189	40	j.	j.	PROPN
ejpam-4245	189	41	mamadu	mamadu	PROPN
ejpam-4245	189	42	/	/	SYM
ejpam-4245	189	43	eur	eur	PROPN
ejpam-4245	189	44	.	.	PUNCT
ejpam-4245	190	1	j.	j.	PROPN
ejpam-4245	190	2	pure	pure	PROPN
ejpam-4245	190	3	appl	appl	PROPN
ejpam-4245	190	4	.	.	PROPN
ejpam-4245	190	5	math	math	PROPN
ejpam-4245	190	6	,	,	PUNCT
ejpam-4245	190	7	15	15	NUM
ejpam-4245	190	8	(	(	PUNCT
ejpam-4245	190	9	1	1	NUM
ejpam-4245	190	10	)	)	PUNCT
ejpam-4245	190	11	(	(	PUNCT
ejpam-4245	190	12	2022	2022	NUM
ejpam-4245	190	13	)	)	PUNCT
ejpam-4245	190	14	,	,	PUNCT
ejpam-4245	190	15	314	314	NUM
ejpam-4245	190	16	-	-	SYM
ejpam-4245	190	17	327	327	NUM
ejpam-4245	190	18	323	323	NUM
ejpam-4245	190	19	5.2	5.2	NUM
ejpam-4245	190	20	.	.	PUNCT
ejpam-4245	191	1	the	the	DET
ejpam-4245	191	2	flow	flow	NOUN
ejpam-4245	191	3	flux	flux	NOUN
ejpam-4245	191	4	the	the	DET
ejpam-4245	191	5	flow	flow	NOUN
ejpam-4245	191	6	flux	flux	NOUN
ejpam-4245	191	7	denoted	denote	VERB
ejpam-4245	191	8	by	by	ADP
ejpam-4245	191	9	q	q	PROPN
ejpam-4245	191	10	is	be	AUX
ejpam-4245	191	11	defined	define	VERB
ejpam-4245	191	12	as	as	ADP
ejpam-4245	191	13	[	[	X
ejpam-4245	191	14	12	12	NUM
ejpam-4245	191	15	]	]	X
ejpam-4245	191	16	q	q	NOUN
ejpam-4245	192	1	=	=	PUNCT
ejpam-4245	192	2	2π	2π	NUM
ejpam-4245	192	3	∫	∫	NOUN
ejpam-4245	193	1	r	r	NOUN
ejpam-4245	193	2	0	0	NUM
ejpam-4245	193	3	γudγ	γudγ	NOUN
ejpam-4245	193	4	(	(	PUNCT
ejpam-4245	193	5	27	27	NUM
ejpam-4245	193	6	)	)	PUNCT
ejpam-4245	193	7	from	from	ADP
ejpam-4245	193	8	equation	equation	NOUN
ejpam-4245	193	9	(	(	PUNCT
ejpam-4245	193	10	25	25	NUM
ejpam-4245	193	11	)	)	PUNCT
ejpam-4245	193	12	,	,	PUNCT
ejpam-4245	193	13	we	we	PRON
ejpam-4245	193	14	have	have	VERB
ejpam-4245	193	15	u	u	NOUN
ejpam-4245	193	16	=	=	PROPN
ejpam-4245	193	17	u	u	X
ejpam-4245	193	18	(	(	PUNCT
ejpam-4245	193	19	1−	1−	NUM
ejpam-4245	193	20	4	4	NUM
ejpam-4245	193	21	3	3	NUM
ejpam-4245	193	22	−	−	NOUN
ejpam-4245	193	23	ψ	ψ	SYM
ejpam-4245	193	24	3	3	NUM
ejpam-4245	193	25	(	(	PUNCT
ejpam-4245	193	26	γ	γ	NOUN
ejpam-4245	193	27	r	r	NOUN
ejpam-4245	193	28	)	)	PUNCT
ejpam-4245	193	29	2	2	NUM
ejpam-4245	193	30	+	+	CCONJ
ejpam-4245	193	31	(	(	PUNCT
ejpam-4245	193	32	−ψ−	−ψ−	NOUN
ejpam-4245	193	33	1	1	NUM
ejpam-4245	193	34	)	)	PUNCT
ejpam-4245	193	35	3	3	NUM
ejpam-4245	193	36	(	(	PUNCT
ejpam-4245	193	37	γ	γ	NOUN
ejpam-4245	193	38	r	r	NOUN
ejpam-4245	193	39	)	)	PUNCT
ejpam-4245	193	40	4	4	NUM
ejpam-4245	193	41	)	)	PUNCT
ejpam-4245	193	42	thus	thus	ADV
ejpam-4245	193	43	,	,	PUNCT
ejpam-4245	193	44	equation	equation	NOUN
ejpam-4245	193	45	(	(	PUNCT
ejpam-4245	193	46	27	27	NUM
ejpam-4245	193	47	)	)	PUNCT
ejpam-4245	193	48	can	can	AUX
ejpam-4245	193	49	be	be	AUX
ejpam-4245	193	50	written	write	VERB
ejpam-4245	193	51	as	as	ADP
ejpam-4245	193	52	q	q	NOUN
ejpam-4245	193	53	=	=	PUNCT
ejpam-4245	194	1	2π	2π	NUM
ejpam-4245	194	2	∫	∫	NOUN
ejpam-4245	194	3	r	r	NOUN
ejpam-4245	194	4	0	0	NUM
ejpam-4245	194	5	γ	γ	X
ejpam-4245	194	6	(	(	PUNCT
ejpam-4245	194	7	1−	1−	NUM
ejpam-4245	194	8	4	4	NUM
ejpam-4245	194	9	3	3	NUM
ejpam-4245	194	10	−	−	NOUN
ejpam-4245	194	11	ψ	ψ	SYM
ejpam-4245	194	12	3	3	NUM
ejpam-4245	194	13	(	(	PUNCT
ejpam-4245	194	14	γ	γ	NOUN
ejpam-4245	194	15	r	r	NOUN
ejpam-4245	194	16	)	)	PUNCT
ejpam-4245	194	17	2	2	NUM
ejpam-4245	194	18	+	+	CCONJ
ejpam-4245	194	19	(	(	PUNCT
ejpam-4245	194	20	−ψ−	−ψ−	NOUN
ejpam-4245	194	21	1	1	NUM
ejpam-4245	194	22	)	)	PUNCT
ejpam-4245	194	23	3	3	NUM
ejpam-4245	194	24	(	(	PUNCT
ejpam-4245	194	25	γ	γ	NOUN
ejpam-4245	194	26	r	r	NOUN
ejpam-4245	194	27	)	)	PUNCT
ejpam-4245	194	28	4	4	NUM
ejpam-4245	194	29	)	)	PUNCT
ejpam-4245	194	30	dγ	dγ	ADP
ejpam-4245	194	31	(	(	PUNCT
ejpam-4245	194	32	28	28	NUM
ejpam-4245	194	33	)	)	PUNCT
ejpam-4245	194	34	q	q	NOUN
ejpam-4245	195	1	=	=	SYM
ejpam-4245	195	2	2πu	2πu	NOUN
ejpam-4245	195	3	[	[	PUNCT
ejpam-4245	195	4	r2	r2	PROPN
ejpam-4245	195	5	2	2	NUM
ejpam-4245	195	6	−	−	NOUN
ejpam-4245	195	7	1	1	NUM
ejpam-4245	195	8	12	12	NUM
ejpam-4245	195	9	(	(	PUNCT
ejpam-4245	195	10	4−ψ)r2	4−ψ)r2	NOUN
ejpam-4245	195	11	+	+	CCONJ
ejpam-4245	195	12	1	1	NUM
ejpam-4245	195	13	18	18	NUM
ejpam-4245	195	14	(	(	PUNCT
ejpam-4245	195	15	1−ψ)r2	1−ψ)r2	NUM
ejpam-4245	195	16	]	]	PUNCT
ejpam-4245	195	17	⇒	⇒	X
ejpam-4245	195	18	q	q	PROPN
ejpam-4245	196	1	=	=	SYM
ejpam-4245	196	2	2πur2[1−	2πur2[1−	NUM
ejpam-4245	196	3	1	1	NUM
ejpam-4245	196	4	12	12	NUM
ejpam-4245	196	5	(	(	PUNCT
ejpam-4245	196	6	4−ψ	4−ψ	NUM
ejpam-4245	196	7	)	)	PUNCT
ejpam-4245	197	1	+	+	CCONJ
ejpam-4245	197	2	1	1	NUM
ejpam-4245	197	3	18	18	NUM
ejpam-4245	197	4	(	(	PUNCT
ejpam-4245	197	5	1−ψ	1−ψ	NUM
ejpam-4245	197	6	)	)	PUNCT
ejpam-4245	197	7	]	]	PUNCT
ejpam-4245	197	8	⇒	⇒	VERB
ejpam-4245	197	9	q	q	NOUN
ejpam-4245	198	1	=	=	SYM
ejpam-4245	198	2	1	1	NUM
ejpam-4245	198	3	18	18	NUM
ejpam-4245	198	4	πur2[(8	πur2[(8	NOUN
ejpam-4245	198	5	+	+	CCONJ
ejpam-4245	198	6	ψ	ψ	X
ejpam-4245	198	7	)	)	PUNCT
ejpam-4245	198	8	]	]	X
ejpam-4245	198	9	(	(	PUNCT
ejpam-4245	198	10	29	29	NUM
ejpam-4245	198	11	)	)	PUNCT
ejpam-4245	198	12	since	since	SCONJ
ejpam-4245	198	13	ψ	ψ	X
ejpam-4245	198	14	=	=	PUNCT
ejpam-4245	198	15	−rer2γ∂p	−rer2γ∂p	PROPN
ejpam-4245	198	16	8u∂z	8u∂z	NUM
ejpam-4245	198	17	,	,	PUNCT
ejpam-4245	198	18	equation	equation	NOUN
ejpam-4245	198	19	(	(	PUNCT
ejpam-4245	198	20	29	29	NUM
ejpam-4245	198	21	)	)	PUNCT
ejpam-4245	198	22	becomes	become	VERB
ejpam-4245	198	23	q	q	NOUN
ejpam-4245	198	24	=	=	SYM
ejpam-4245	198	25	1	1	NUM
ejpam-4245	198	26	18	18	NUM
ejpam-4245	198	27	πur2[8−	πur2[8−	NOUN
ejpam-4245	198	28	(	(	PUNCT
ejpam-4245	198	29	rer	rer	PROPN
ejpam-4245	198	30	2∂p	2∂p	NUM
ejpam-4245	198	31	)	)	PUNCT
ejpam-4245	198	32	8u∂z	8u∂z	NUM
ejpam-4245	198	33	]	]	PUNCT
ejpam-4245	199	1	=	=	SYM
ejpam-4245	199	2	4	4	NUM
ejpam-4245	199	3	9	9	NUM
ejpam-4245	199	4	πur2	πur2	NOUN
ejpam-4245	199	5	−	−	PROPN
ejpam-4245	200	1	(	(	PUNCT
ejpam-4245	200	2	πrer	πrer	NOUN
ejpam-4245	200	3	4∂p	4∂p	NUM
ejpam-4245	200	4	)	)	PUNCT
ejpam-4245	200	5	144∂z	144∂z	PROPN
ejpam-4245	200	6	(	(	PUNCT
ejpam-4245	200	7	30	30	NUM
ejpam-4245	200	8	)	)	PUNCT
ejpam-4245	200	9	from	from	ADP
ejpam-4245	200	10	equation	equation	NOUN
ejpam-4245	200	11	(	(	PUNCT
ejpam-4245	200	12	26	26	NUM
ejpam-4245	200	13	)	)	PUNCT
ejpam-4245	200	14	,	,	PUNCT
ejpam-4245	200	15	we	we	PRON
ejpam-4245	200	16	have	have	VERB
ejpam-4245	200	17	that	that	DET
ejpam-4245	200	18	u	u	NOUN
ejpam-4245	200	19	=	=	NOUN
ejpam-4245	200	20	9	9	NUM
ejpam-4245	200	21	4	4	NUM
ejpam-4245	200	22	1	1	NUM
ejpam-4245	200	23	r2	r2	NOUN
ejpam-4245	201	1	[	[	X
ejpam-4245	201	2	q+	q+	X
ejpam-4245	201	3	(	(	PUNCT
ejpam-4245	201	4	πrer	πrer	NOUN
ejpam-4245	201	5	4∂p	4∂p	NUM
ejpam-4245	201	6	)	)	PUNCT
ejpam-4245	201	7	144∂z	144∂z	PROPN
ejpam-4245	201	8	]	]	PUNCT
ejpam-4245	201	9	(	(	PUNCT
ejpam-4245	201	10	31	31	NUM
ejpam-4245	201	11	)	)	PUNCT
ejpam-4245	201	12	equation	equation	NOUN
ejpam-4245	201	13	(	(	PUNCT
ejpam-4245	201	14	31	31	NUM
ejpam-4245	201	15	)	)	PUNCT
ejpam-4245	201	16	is	be	AUX
ejpam-4245	201	17	called	call	VERB
ejpam-4245	201	18	the	the	DET
ejpam-4245	201	19	centerline	centerline	NOUN
ejpam-4245	201	20	velocity	velocity	NOUN
ejpam-4245	201	21	.	.	PUNCT
ejpam-4245	202	1	now	now	ADV
ejpam-4245	202	2	,	,	PUNCT
ejpam-4245	202	3	using	use	VERB
ejpam-4245	202	4	u	u	NOUN
ejpam-4245	202	5	=	=	NOUN
ejpam-4245	202	6	9	9	NUM
ejpam-4245	202	7	4	4	NUM
ejpam-4245	202	8	1	1	NUM
ejpam-4245	202	9	r2	r2	NOUN
ejpam-4245	203	1	[	[	X
ejpam-4245	203	2	q+	q+	X
ejpam-4245	203	3	(	(	PUNCT
ejpam-4245	203	4	πrer4∂p	πrer4∂p	NUM
ejpam-4245	203	5	)	)	PUNCT
ejpam-4245	203	6	144	144	NUM
ejpam-4245	203	7	∂p	∂p	PROPN
ejpam-4245	203	8	∂z	∂z	PROPN
ejpam-4245	203	9	]	]	PUNCT
ejpam-4245	203	10	in	in	ADP
ejpam-4245	203	11	equation	equation	NOUN
ejpam-4245	203	12	(	(	PUNCT
ejpam-4245	203	13	25	25	NUM
ejpam-4245	203	14	)	)	PUNCT
ejpam-4245	203	15	,	,	PUNCT
ejpam-4245	203	16	we	we	PRON
ejpam-4245	203	17	have	have	VERB
ejpam-4245	203	18	,	,	PUNCT
ejpam-4245	203	19	u	u	NOUN
ejpam-4245	203	20	=	=	NOUN
ejpam-4245	203	21	9	9	NUM
ejpam-4245	203	22	4	4	NUM
ejpam-4245	203	23	1	1	NUM
ejpam-4245	203	24	r2	r2	NOUN
ejpam-4245	204	1	[	[	X
ejpam-4245	204	2	q+	q+	X
ejpam-4245	204	3	(	(	PUNCT
ejpam-4245	204	4	πrer	πrer	NOUN
ejpam-4245	204	5	4	4	NUM
ejpam-4245	204	6	)	)	PUNCT
ejpam-4245	204	7	144	144	NUM
ejpam-4245	204	8	∂p	∂p	NUM
ejpam-4245	204	9	∂z	∂z	PROPN
ejpam-4245	204	10	]	]	PUNCT
ejpam-4245	205	1	[	[	X
ejpam-4245	205	2	1−	1−	NUM
ejpam-4245	205	3	4	4	NUM
ejpam-4245	205	4	3	3	NUM
ejpam-4245	205	5	−	−	NOUN
ejpam-4245	205	6	ψ	ψ	SYM
ejpam-4245	205	7	3	3	NUM
ejpam-4245	205	8	(	(	PUNCT
ejpam-4245	205	9	γ	γ	NOUN
ejpam-4245	205	10	r	r	NOUN
ejpam-4245	205	11	)	)	PUNCT
ejpam-4245	205	12	2	2	NUM
ejpam-4245	205	13	+	+	CCONJ
ejpam-4245	205	14	(	(	PUNCT
ejpam-4245	205	15	−ψ−	−ψ−	NOUN
ejpam-4245	205	16	1	1	NUM
ejpam-4245	205	17	)	)	PUNCT
ejpam-4245	205	18	3	3	NUM
ejpam-4245	205	19	(	(	PUNCT
ejpam-4245	205	20	γ	γ	NOUN
ejpam-4245	205	21	r	r	NOUN
ejpam-4245	205	22	)	)	PUNCT
ejpam-4245	205	23	4	4	NUM
ejpam-4245	205	24	]	]	PUNCT
ejpam-4245	205	25	(	(	PUNCT
ejpam-4245	205	26	32	32	NUM
ejpam-4245	205	27	)	)	PUNCT
ejpam-4245	205	28	but	but	CCONJ
ejpam-4245	205	29	ψ	ψ	X
ejpam-4245	205	30	=	=	NOUN
ejpam-4245	205	31	−rer2γ∂p	−rer2γ∂p	PROPN
ejpam-4245	205	32	8u∂z	8u∂z	NUM
ejpam-4245	205	33	,	,	PUNCT
ejpam-4245	205	34	then	then	ADV
ejpam-4245	205	35	equation	equation	NOUN
ejpam-4245	205	36	(	(	PUNCT
ejpam-4245	205	37	32	32	NUM
ejpam-4245	205	38	)	)	PUNCT
ejpam-4245	205	39	becomes	become	VERB
ejpam-4245	205	40	u	u	NOUN
ejpam-4245	205	41	=	=	NOUN
ejpam-4245	205	42	9	9	NUM
ejpam-4245	205	43	4	4	NUM
ejpam-4245	205	44	1	1	NUM
ejpam-4245	205	45	r2	r2	NOUN
ejpam-4245	206	1	[	[	X
ejpam-4245	206	2	q+	q+	X
ejpam-4245	206	3	(	(	PUNCT
ejpam-4245	206	4	πrer	πrer	NOUN
ejpam-4245	206	5	4	4	NUM
ejpam-4245	206	6	)	)	PUNCT
ejpam-4245	206	7	144	144	NUM
ejpam-4245	206	8	∂p	∂p	NUM
ejpam-4245	206	9	∂z	∂z	PROPN
ejpam-4245	206	10	]	]	PUNCT
ejpam-4245	207	1	[	[	X
ejpam-4245	207	2	1−	1−	NUM
ejpam-4245	207	3	4	4	NUM
ejpam-4245	207	4	3	3	NUM
ejpam-4245	207	5	−	−	NOUN
ejpam-4245	207	6	1	1	NUM
ejpam-4245	207	7	3	3	NUM
ejpam-4245	207	8	(	(	PUNCT
ejpam-4245	207	9	−rer	−rer	NOUN
ejpam-4245	207	10	2γ∂p	2γ∂p	NUM
ejpam-4245	207	11	8u∂z	8u∂z	NUM
ejpam-4245	207	12	)	)	PUNCT
ejpam-4245	207	13	(	(	PUNCT
ejpam-4245	207	14	γ	γ	NOUN
ejpam-4245	207	15	r	r	NOUN
ejpam-4245	207	16	)	)	PUNCT
ejpam-4245	207	17	2	2	NUM
ejpam-4245	207	18	+	+	CCONJ
ejpam-4245	207	19	1	1	NUM
ejpam-4245	207	20	3	3	NUM
ejpam-4245	207	21	(	(	PUNCT
ejpam-4245	207	22	rer	rer	PROPN
ejpam-4245	207	23	2γ∂p	2γ∂p	PROPN
ejpam-4245	207	24	8u∂z	8u∂z	NUM
ejpam-4245	208	1	+	+	CCONJ
ejpam-4245	208	2	1	1	NUM
ejpam-4245	208	3	)	)	PUNCT
ejpam-4245	208	4	(	(	PUNCT
ejpam-4245	208	5	γ	γ	NOUN
ejpam-4245	208	6	r	r	NOUN
ejpam-4245	208	7	)	)	PUNCT
ejpam-4245	208	8	4	4	NUM
ejpam-4245	208	9	]	]	PUNCT
ejpam-4245	208	10	(	(	PUNCT
ejpam-4245	208	11	33	33	NUM
ejpam-4245	208	12	)	)	PUNCT
ejpam-4245	208	13	j.	j.	PROPN
ejpam-4245	208	14	tsetimi	tsetimi	PROPN
ejpam-4245	208	15	,	,	PUNCT
ejpam-4245	208	16	e.	e.	PROPN
ejpam-4245	208	17	j.	j.	PROPN
ejpam-4245	208	18	mamadu	mamadu	PROPN
ejpam-4245	208	19	/	/	SYM
ejpam-4245	208	20	eur	eur	PROPN
ejpam-4245	208	21	.	.	PUNCT
ejpam-4245	209	1	j.	j.	PROPN
ejpam-4245	209	2	pure	pure	PROPN
ejpam-4245	209	3	appl	appl	PROPN
ejpam-4245	209	4	.	.	PROPN
ejpam-4245	209	5	math	math	PROPN
ejpam-4245	209	6	,	,	PUNCT
ejpam-4245	209	7	15	15	NUM
ejpam-4245	209	8	(	(	PUNCT
ejpam-4245	209	9	1	1	NUM
ejpam-4245	209	10	)	)	PUNCT
ejpam-4245	209	11	(	(	PUNCT
ejpam-4245	209	12	2022	2022	NUM
ejpam-4245	209	13	)	)	PUNCT
ejpam-4245	209	14	,	,	PUNCT
ejpam-4245	209	15	314	314	NUM
ejpam-4245	209	16	-	-	SYM
ejpam-4245	209	17	327	327	NUM
ejpam-4245	209	18	324	324	NUM
ejpam-4245	209	19	equation	equation	NOUN
ejpam-4245	209	20	(	(	PUNCT
ejpam-4245	209	21	33	33	NUM
ejpam-4245	209	22	)	)	PUNCT
ejpam-4245	209	23	is	be	AUX
ejpam-4245	209	24	the	the	DET
ejpam-4245	209	25	velocity	velocity	NOUN
ejpam-4245	209	26	profile	profile	NOUN
ejpam-4245	209	27	equation	equation	NOUN
ejpam-4245	209	28	.	.	PUNCT
ejpam-4245	210	1	similarly	similarly	ADV
ejpam-4245	210	2	,	,	PUNCT
ejpam-4245	210	3	substituting	substitute	VERB
ejpam-4245	210	4	(	(	PUNCT
ejpam-4245	210	5	26	26	NUM
ejpam-4245	210	6	)	)	PUNCT
ejpam-4245	210	7	and	and	CCONJ
ejpam-4245	210	8	(	(	PUNCT
ejpam-4245	210	9	31	31	NUM
ejpam-4245	210	10	)	)	PUNCT
ejpam-4245	210	11	in	in	ADP
ejpam-4245	210	12	∂p	∂p	PROPN
ejpam-4245	210	13	∂z	∂z	PROPN
ejpam-4245	210	14	=	=	SYM
ejpam-4245	210	15	2	2	NUM
ejpam-4245	210	16	re	re	NOUN
ejpam-4245	210	17	1	1	NUM
ejpam-4245	210	18	γ	γ	PROPN
ejpam-4245	210	19	∂	∂	NOUN
ejpam-4245	210	20	∂γ	∂γ	PROPN
ejpam-4245	210	21	(	(	PUNCT
ejpam-4245	210	22	γ	γ	PROPN
ejpam-4245	210	23	∂u	∂u	PROPN
ejpam-4245	210	24	∂γ	∂γ	PROPN
ejpam-4245	210	25	)	)	PUNCT
ejpam-4245	210	26	,	,	PUNCT
ejpam-4245	210	27	γ	γ	X
ejpam-4245	210	28	⩾	⩾	NOUN
ejpam-4245	210	29	r	r	NOUN
ejpam-4245	210	30	,	,	PUNCT
ejpam-4245	210	31	we	we	PRON
ejpam-4245	210	32	have	have	VERB
ejpam-4245	210	33	∂p	∂p	NOUN
ejpam-4245	210	34	∂z	∂z	PROPN
ejpam-4245	210	35	=	=	SYM
ejpam-4245	210	36	2	2	NUM
ejpam-4245	210	37	re	re	NOUN
ejpam-4245	210	38	1	1	NUM
ejpam-4245	210	39	γ	γ	X
ejpam-4245	210	40	(	(	PUNCT
ejpam-4245	210	41	r	r	NOUN
ejpam-4245	210	42	∂2u	∂2u	X
ejpam-4245	210	43	∂γ2	∂γ2	PROPN
ejpam-4245	210	44	+	+	CCONJ
ejpam-4245	210	45	∂u	∂u	PROPN
ejpam-4245	210	46	∂γ	∂γ	PROPN
ejpam-4245	210	47	)	)	PUNCT
ejpam-4245	210	48	,	,	PUNCT
ejpam-4245	210	49	(	(	PUNCT
ejpam-4245	210	50	34	34	NUM
ejpam-4245	210	51	)	)	PUNCT
ejpam-4245	210	52	u	u	NOUN
ejpam-4245	210	53	=	=	PROPN
ejpam-4245	210	54	u	u	PROPN
ejpam-4245	210	55	(	(	PUNCT
ejpam-4245	210	56	1−	1−	NUM
ejpam-4245	210	57	(	(	PUNCT
ejpam-4245	210	58	γ	γ	NOUN
ejpam-4245	210	59	r	r	NOUN
ejpam-4245	210	60	)	)	PUNCT
ejpam-4245	210	61	2	2	NUM
ejpam-4245	210	62	)	)	PUNCT
ejpam-4245	210	63	=	=	SYM
ejpam-4245	210	64	9	9	NUM
ejpam-4245	210	65	4	4	NUM
ejpam-4245	210	66	1	1	NUM
ejpam-4245	210	67	r2	r2	NOUN
ejpam-4245	211	1	[	[	X
ejpam-4245	211	2	q+	q+	X
ejpam-4245	211	3	(	(	PUNCT
ejpam-4245	211	4	πrer	πrer	NOUN
ejpam-4245	211	5	4∂p	4∂p	NUM
ejpam-4245	211	6	)	)	PUNCT
ejpam-4245	211	7	144∂z	144∂z	NUM
ejpam-4245	211	8	]	]	X
ejpam-4245	211	9	[	[	X
ejpam-4245	211	10	1−	1−	NUM
ejpam-4245	211	11	(	(	PUNCT
ejpam-4245	211	12	γ	γ	NOUN
ejpam-4245	211	13	r	r	NOUN
ejpam-4245	211	14	)	)	PUNCT
ejpam-4245	211	15	2	2	NUM
ejpam-4245	211	16	]	]	PUNCT
ejpam-4245	211	17	(	(	PUNCT
ejpam-4245	211	18	35	35	NUM
ejpam-4245	211	19	)	)	PUNCT
ejpam-4245	211	20	evaluating	evaluate	VERB
ejpam-4245	211	21	∂u	∂u	PROPN
ejpam-4245	211	22	∂γ	∂γ	PROPN
ejpam-4245	211	23	and	and	CCONJ
ejpam-4245	211	24	∂2u	∂2u	PROPN
ejpam-4245	211	25	∂γ2using	∂γ2use	VERB
ejpam-4245	211	26	equation	equation	NOUN
ejpam-4245	211	27	(	(	PUNCT
ejpam-4245	211	28	35	35	NUM
ejpam-4245	211	29	)	)	PUNCT
ejpam-4245	211	30	with	with	ADP
ejpam-4245	211	31	the	the	DET
ejpam-4245	211	32	aid	aid	NOUN
ejpam-4245	211	33	of	of	ADP
ejpam-4245	211	34	maple	maple	NOUN
ejpam-4245	211	35	18	18	NUM
ejpam-4245	211	36	software	software	NOUN
ejpam-4245	211	37	at	at	ADP
ejpam-4245	211	38	,	,	PUNCT
ejpam-4245	211	39	r	r	NOUN
ejpam-4245	211	40	=	=	SYM
ejpam-4245	211	41	r	r	NOUN
ejpam-4245	211	42	,	,	PUNCT
ejpam-4245	211	43	and	and	CCONJ
ejpam-4245	211	44	substituting	substitute	VERB
ejpam-4245	211	45	in	in	ADP
ejpam-4245	211	46	equation	equation	NOUN
ejpam-4245	211	47	(	(	PUNCT
ejpam-4245	211	48	33	33	NUM
ejpam-4245	211	49	)	)	PUNCT
ejpam-4245	211	50	yield	yield	VERB
ejpam-4245	211	51	the	the	DET
ejpam-4245	211	52	result	result	NOUN
ejpam-4245	211	53	,	,	PUNCT
ejpam-4245	211	54	∂p	∂p	PROPN
ejpam-4245	211	55	∂z	∂z	PROPN
ejpam-4245	211	56	=	=	NOUN
ejpam-4245	212	1	39	39	NUM
ejpam-4245	212	2	9	9	NUM
ejpam-4245	212	3	q2	q2	NOUN
ejpam-4245	212	4	π2	π2	ADJ
ejpam-4245	212	5	1	1	NUM
ejpam-4245	212	6	r5	r5	PROPN
ejpam-4245	212	7	dr	dr	PROPN
ejpam-4245	212	8	dz	dz	PROPN
ejpam-4245	212	9	−	−	PROPN
ejpam-4245	212	10	16	16	NUM
ejpam-4245	212	11	π	π	PROPN
ejpam-4245	212	12	q	q	X
ejpam-4245	212	13	rer4	rer4	PROPN
ejpam-4245	212	14	.	.	PUNCT
ejpam-4245	213	1	(	(	PUNCT
ejpam-4245	213	2	36	36	NUM
ejpam-4245	213	3	)	)	PUNCT
ejpam-4245	213	4	equation	equation	NOUN
ejpam-4245	213	5	(	(	PUNCT
ejpam-4245	213	6	36	36	NUM
ejpam-4245	213	7	)	)	PUNCT
ejpam-4245	213	8	is	be	AUX
ejpam-4245	213	9	called	call	VERB
ejpam-4245	213	10	the	the	DET
ejpam-4245	213	11	pressure	pressure	NOUN
ejpam-4245	213	12	gradient	gradient	NOUN
ejpam-4245	213	13	and	and	CCONJ
ejpam-4245	213	14	|∂p∂z	|∂p∂z	NUM
ejpam-4245	213	15	|	|	ADV
ejpam-4245	213	16	is	be	AUX
ejpam-4245	213	17	the	the	DET
ejpam-4245	213	18	absolute	absolute	ADJ
ejpam-4245	213	19	pressure	pressure	NOUN
ejpam-4245	213	20	gradient	gradient	NOUN
ejpam-4245	213	21	.	.	PUNCT
ejpam-4245	214	1	5.3	5.3	NUM
ejpam-4245	214	2	.	.	PUNCT
ejpam-4245	214	3	results	result	NOUN
ejpam-4245	214	4	and	and	CCONJ
ejpam-4245	214	5	discussion	discussion	NOUN
ejpam-4245	214	6	in	in	ADP
ejpam-4245	214	7	order	order	NOUN
ejpam-4245	214	8	to	to	PART
ejpam-4245	214	9	demonstrate	demonstrate	VERB
ejpam-4245	214	10	the	the	DET
ejpam-4245	214	11	applicability	applicability	NOUN
ejpam-4245	214	12	of	of	ADP
ejpam-4245	214	13	the	the	DET
ejpam-4245	214	14	mathematical	mathematical	ADJ
ejpam-4245	214	15	model	model	NOUN
ejpam-4245	214	16	derived	derive	VERB
ejpam-4245	214	17	and	and	CCONJ
ejpam-4245	214	18	analyzed	analyze	VERB
ejpam-4245	214	19	in	in	ADP
ejpam-4245	214	20	the	the	DET
ejpam-4245	214	21	preceding	precede	VERB
ejpam-4245	214	22	sections	section	NOUN
ejpam-4245	214	23	,	,	PUNCT
ejpam-4245	214	24	expressions	expression	NOUN
ejpam-4245	214	25	for	for	ADP
ejpam-4245	214	26	pressure	pressure	NOUN
ejpam-4245	214	27	and	and	CCONJ
ejpam-4245	214	28	velocity	velocity	NOUN
ejpam-4245	214	29	profile	profile	NOUN
ejpam-4245	214	30	(	(	PUNCT
ejpam-4245	214	31	axial	axial	ADJ
ejpam-4245	214	32	direction	direction	NOUN
ejpam-4245	214	33	)	)	PUNCT
ejpam-4245	214	34	are	be	AUX
ejpam-4245	214	35	conditioned	condition	VERB
ejpam-4245	214	36	in	in	ADP
ejpam-4245	214	37	the	the	DET
ejpam-4245	214	38	no	no	DET
ejpam-4245	214	39	velocity	velocity	NOUN
ejpam-4245	214	40	-	-	PUNCT
ejpam-4245	214	41	slip	slip	NOUN
ejpam-4245	214	42	condition	condition	NOUN
ejpam-4245	214	43	at	at	ADP
ejpam-4245	214	44	the	the	DET
ejpam-4245	214	45	arterial	arterial	ADJ
ejpam-4245	214	46	wall	wall	NOUN
ejpam-4245	214	47	.	.	PUNCT
ejpam-4245	215	1	for	for	SCONJ
ejpam-4245	215	2	us	we	PRON
ejpam-4245	215	3	to	to	PART
ejpam-4245	215	4	have	have	VERB
ejpam-4245	215	5	a	a	DET
ejpam-4245	215	6	vivid	vivid	ADJ
ejpam-4245	215	7	insight	insight	NOUN
ejpam-4245	215	8	of	of	ADP
ejpam-4245	215	9	the	the	DET
ejpam-4245	215	10	axisymmetric	axisymmetric	ADJ
ejpam-4245	215	11	steady	steady	ADJ
ejpam-4245	215	12	flow	flow	NOUN
ejpam-4245	215	13	of	of	ADP
ejpam-4245	215	14	blood	blood	NOUN
ejpam-4245	215	15	in	in	ADP
ejpam-4245	215	16	an	an	DET
ejpam-4245	215	17	embolic	embolic	ADJ
ejpam-4245	215	18	table	table	NOUN
ejpam-4245	215	19	,	,	PUNCT
ejpam-4245	215	20	the	the	DET
ejpam-4245	215	21	variations	variation	NOUN
ejpam-4245	215	22	of	of	ADP
ejpam-4245	215	23	u	u	PROPN
ejpam-4245	215	24	,	,	PUNCT
ejpam-4245	215	25	ψ	ψ	PROPN
ejpam-4245	215	26	,	,	PUNCT
ejpam-4245	215	27	q	q	NOUN
ejpam-4245	215	28	and	and	CCONJ
ejpam-4245	215	29	∂p	∂p	PROPN
ejpam-4245	215	30	∂x	∂x	PROPN
ejpam-4245	215	31	have	have	AUX
ejpam-4245	215	32	been	be	AUX
ejpam-4245	215	33	derived	derive	VERB
ejpam-4245	215	34	and	and	CCONJ
ejpam-4245	215	35	the	the	DET
ejpam-4245	215	36	solutions	solution	NOUN
ejpam-4245	215	37	are	be	AUX
ejpam-4245	215	38	presented	present	VERB
ejpam-4245	215	39	graphically	graphically	ADV
ejpam-4245	215	40	with	with	ADP
ejpam-4245	215	41	the	the	DET
ejpam-4245	215	42	aid	aid	NOUN
ejpam-4245	215	43	of	of	ADP
ejpam-4245	215	44	the	the	DET
ejpam-4245	215	45	computer	computer	NOUN
ejpam-4245	215	46	application	application	NOUN
ejpam-4245	215	47	software	software	NOUN
ejpam-4245	215	48	maple	maple	NOUN
ejpam-4245	215	49	18	18	NUM
ejpam-4245	215	50	.	.	PUNCT
ejpam-4245	216	1	the	the	DET
ejpam-4245	216	2	axisymmetric	axisymmetric	ADJ
ejpam-4245	216	3	steady	steady	ADJ
ejpam-4245	216	4	flow	flow	NOUN
ejpam-4245	216	5	of	of	ADP
ejpam-4245	216	6	blood	blood	NOUN
ejpam-4245	216	7	is	be	AUX
ejpam-4245	216	8	modeled	model	VERB
ejpam-4245	216	9	as	as	ADP
ejpam-4245	216	10	newtonian	newtonian	ADJ
ejpam-4245	216	11	and	and	CCONJ
ejpam-4245	216	12	incompressible	incompressible	ADJ
ejpam-4245	216	13	through	through	ADP
ejpam-4245	216	14	an	an	DET
ejpam-4245	216	15	artery	artery	NOUN
ejpam-4245	216	16	with	with	ADP
ejpam-4245	216	17	a	a	DET
ejpam-4245	216	18	fixed	fix	VERB
ejpam-4245	216	19	solid	solid	ADJ
ejpam-4245	216	20	stenosis	stenosis	NOUN
ejpam-4245	216	21	.	.	PUNCT
ejpam-4245	217	1	the	the	DET
ejpam-4245	217	2	variation	variation	NOUN
ejpam-4245	217	3	iteration	iteration	NOUN
ejpam-4245	217	4	method	method	NOUN
ejpam-4245	217	5	was	be	AUX
ejpam-4245	217	6	used	use	VERB
ejpam-4245	217	7	to	to	PART
ejpam-4245	217	8	solve	solve	VERB
ejpam-4245	217	9	the	the	DET
ejpam-4245	217	10	governing	govern	VERB
ejpam-4245	217	11	equations	equation	NOUN
ejpam-4245	217	12	with	with	ADP
ejpam-4245	217	13	the	the	DET
ejpam-4245	217	14	assumption	assumption	NOUN
ejpam-4245	217	15	that	that	SCONJ
ejpam-4245	217	16	the	the	DET
ejpam-4245	217	17	initial	initial	ADJ
ejpam-4245	217	18	approximation	approximation	NOUN
ejpam-4245	217	19	is	be	AUX
ejpam-4245	217	20	defined	define	VERB
ejpam-4245	217	21	as	as	ADP
ejpam-4245	217	22	a	a	DET
ejpam-4245	217	23	polynomial	polynomial	NOUN
ejpam-4245	217	24	of	of	ADP
ejpam-4245	217	25	the	the	DET
ejpam-4245	217	26	velocity	velocity	NOUN
ejpam-4245	217	27	profile	profile	NOUN
ejpam-4245	217	28	of	of	ADP
ejpam-4245	217	29	fourth	fourth	ADJ
ejpam-4245	217	30	-	-	PUNCT
ejpam-4245	217	31	degree	degree	NOUN
ejpam-4245	217	32	.	.	PUNCT
ejpam-4245	218	1	implementing	implement	VERB
ejpam-4245	218	2	the	the	DET
ejpam-4245	218	3	vim	vim	NOUN
ejpam-4245	218	4	on	on	ADP
ejpam-4245	218	5	equation	equation	NOUN
ejpam-4245	218	6	(	(	PUNCT
ejpam-4245	218	7	17	17	NUM
ejpam-4245	218	8	)	)	PUNCT
ejpam-4245	218	9	for	for	ADP
ejpam-4245	218	10	n	n	NOUN
ejpam-4245	218	11	⩾	⩾	NOUN
ejpam-4245	218	12	0	0	NUM
ejpam-4245	218	13	with	with	ADP
ejpam-4245	218	14	maple	maple	NOUN
ejpam-4245	218	15	18	18	NUM
ejpam-4245	218	16	software	software	NOUN
ejpam-4245	218	17	,	,	PUNCT
ejpam-4245	218	18	we	we	PRON
ejpam-4245	218	19	observe	observe	VERB
ejpam-4245	218	20	that	that	SCONJ
ejpam-4245	218	21	u0	u0	ADJ
ejpam-4245	218	22	=	=	NOUN
ejpam-4245	218	23	u1	u1	NOUN
ejpam-4245	218	24	=	=	PROPN
ejpam-4245	218	25	u2	u2	PROPN
ejpam-4245	218	26	=	=	SYM
ejpam-4245	218	27	·	·	PUNCT
ejpam-4245	218	28	·	·	PUNCT
ejpam-4245	218	29	·	·	PUNCT
ejpam-4245	219	1	=	=	PUNCT
ejpam-4245	219	2	u.	u.	NOUN
ejpam-4245	219	3	in	in	ADP
ejpam-4245	219	4	our	our	PRON
ejpam-4245	219	5	analysis	analysis	NOUN
ejpam-4245	219	6	,	,	PUNCT
ejpam-4245	219	7	the	the	DET
ejpam-4245	219	8	maximum	maximum	ADJ
ejpam-4245	219	9	height	height	NOUN
ejpam-4245	219	10	of	of	ADP
ejpam-4245	219	11	the	the	DET
ejpam-4245	219	12	stenosis	stenosis	NOUN
ejpam-4245	219	13	is	be	AUX
ejpam-4245	219	14	taken	take	VERB
ejpam-4245	219	15	as	as	ADP
ejpam-4245	219	16	0.25	0.25	NUM
ejpam-4245	219	17	or	or	CCONJ
ejpam-4245	219	18	1	1	NUM
ejpam-4245	219	19	4	4	NUM
ejpam-4245	219	20	.	.	PUNCT
ejpam-4245	220	1	however	however	ADV
ejpam-4245	220	2	,	,	PUNCT
ejpam-4245	220	3	the	the	DET
ejpam-4245	220	4	maximum	maximum	ADJ
ejpam-4245	220	5	height	height	NOUN
ejpam-4245	220	6	of	of	ADP
ejpam-4245	220	7	the	the	DET
ejpam-4245	220	8	stenosis	stenosis	NOUN
ejpam-4245	220	9	is	be	AUX
ejpam-4245	220	10	defined	define	VERB
ejpam-4245	220	11	in	in	ADP
ejpam-4245	220	12	the	the	DET
ejpam-4245	220	13	range	range	NOUN
ejpam-4245	220	14	0	0	NUM
ejpam-4245	220	15	to	to	ADP
ejpam-4245	220	16	0.6	0.6	NUM
ejpam-4245	220	17	to	to	PART
ejpam-4245	220	18	enable	enable	VERB
ejpam-4245	220	19	us	we	PRON
ejpam-4245	220	20	analyze	analyze	VERB
ejpam-4245	220	21	the	the	DET
ejpam-4245	220	22	effect	effect	NOUN
ejpam-4245	220	23	pronounce	pronounce	VERB
ejpam-4245	220	24	.	.	PUNCT
ejpam-4245	221	1	the	the	DET
ejpam-4245	221	2	absolute	absolute	ADJ
ejpam-4245	221	3	pressure	pressure	NOUN
ejpam-4245	221	4	gradient	gradient	NOUN
ejpam-4245	221	5	parameter	parameter	NOUN
ejpam-4245	221	6	,	,	PUNCT
ejpam-4245	221	7	|∂p∂z	|∂p∂z	PUNCT
ejpam-4245	221	8	|	|	ADV
ejpam-4245	221	9	is	be	AUX
ejpam-4245	221	10	defined	define	VERB
ejpam-4245	221	11	in	in	ADP
ejpam-4245	221	12	the	the	DET
ejpam-4245	221	13	range	range	NOUN
ejpam-4245	221	14	in	in	ADP
ejpam-4245	221	15	0	0	NUM
ejpam-4245	221	16	to	to	PART
ejpam-4245	221	17	1	1	NUM
ejpam-4245	221	18	.	.	PUNCT
ejpam-4245	222	1	the	the	DET
ejpam-4245	222	2	velocity	velocity	NOUN
ejpam-4245	222	3	slip	slip	NOUN
ejpam-4245	222	4	parameter	parameter	NOUN
ejpam-4245	222	5	is	be	AUX
ejpam-4245	222	6	defined	define	VERB
ejpam-4245	222	7	in	in	ADP
ejpam-4245	222	8	the	the	DET
ejpam-4245	222	9	range	range	NOUN
ejpam-4245	222	10	0	0	NUM
ejpam-4245	222	11	to	to	ADP
ejpam-4245	222	12	0.6	0.6	NUM
ejpam-4245	222	13	.	.	PUNCT
ejpam-4245	223	1	in	in	ADP
ejpam-4245	223	2	this	this	DET
ejpam-4245	223	3	work	work	NOUN
ejpam-4245	223	4	,	,	PUNCT
ejpam-4245	223	5	the	the	DET
ejpam-4245	223	6	reynold	reynold	ADJ
ejpam-4245	223	7	number	number	NOUN
ejpam-4245	223	8	is	be	AUX
ejpam-4245	223	9	taken	take	VERB
ejpam-4245	223	10	in	in	ADP
ejpam-4245	223	11	the	the	DET
ejpam-4245	223	12	range	range	NOUN
ejpam-4245	223	13	20	20	NUM
ejpam-4245	223	14	,	,	PUNCT
ejpam-4245	223	15	60	60	NUM
ejpam-4245	223	16	and	and	CCONJ
ejpam-4245	223	17	100	100	NUM
ejpam-4245	223	18	for	for	ADP
ejpam-4245	223	19	δ	δ	PROPN
ejpam-4245	223	20	=	=	SYM
ejpam-4245	223	21	1	1	NUM
ejpam-4245	223	22	4	4	NUM
ejpam-4245	223	23	,	,	PUNCT
ejpam-4245	223	24	to	to	PART
ejpam-4245	223	25	enable	enable	VERB
ejpam-4245	223	26	us	we	PRON
ejpam-4245	223	27	analyze	analyze	VERB
ejpam-4245	223	28	the	the	DET
ejpam-4245	223	29	effect	effect	NOUN
ejpam-4245	223	30	pronounce	pronounce	VERB
ejpam-4245	223	31	.	.	PUNCT
ejpam-4245	224	1	the	the	DET
ejpam-4245	224	2	figures	figure	NOUN
ejpam-4245	224	3	2	2	NUM
ejpam-4245	224	4	-	-	SYM
ejpam-4245	224	5	3	3	NUM
ejpam-4245	224	6	illustrate	illustrate	VERB
ejpam-4245	224	7	the	the	DET
ejpam-4245	224	8	axial	axial	ADJ
ejpam-4245	224	9	velocity	velocity	NOUN
ejpam-4245	224	10	profile	profile	NOUN
ejpam-4245	224	11	for	for	ADP
ejpam-4245	224	12	different	different	ADJ
ejpam-4245	224	13	values	value	NOUN
ejpam-4245	224	14	of	of	ADP
ejpam-4245	224	15	reynold	reynold	ADJ
ejpam-4245	224	16	numbers	number	NOUN
ejpam-4245	224	17	for	for	ADP
ejpam-4245	224	18	δ	δ	PROPN
ejpam-4245	224	19	=	=	SYM
ejpam-4245	224	20	1	1	NUM
ejpam-4245	224	21	4	4	NUM
ejpam-4245	224	22	in	in	ADP
ejpam-4245	224	23	the	the	DET
ejpam-4245	224	24	analysis	analysis	NOUN
ejpam-4245	224	25	of	of	ADP
ejpam-4245	224	26	axisymmetric	axisymmetric	ADJ
ejpam-4245	224	27	steady	steady	ADJ
ejpam-4245	224	28	flow	flow	NOUN
ejpam-4245	224	29	of	of	ADP
ejpam-4245	224	30	blood	blood	NOUN
ejpam-4245	224	31	in	in	ADP
ejpam-4245	224	32	an	an	DET
ejpam-4245	224	33	embolus	embolus	ADJ
ejpam-4245	224	34	tube	tube	NOUN
ejpam-4245	224	35	.	.	PUNCT
ejpam-4245	225	1	it	it	PRON
ejpam-4245	225	2	is	be	AUX
ejpam-4245	225	3	observed	observe	VERB
ejpam-4245	225	4	in	in	ADP
ejpam-4245	225	5	figure	figure	NOUN
ejpam-4245	225	6	1	1	NUM
ejpam-4245	225	7	that	that	SCONJ
ejpam-4245	225	8	the	the	DET
ejpam-4245	225	9	no	no	DET
ejpam-4245	225	10	velocity	velocity	NOUN
ejpam-4245	225	11	slip	slip	NOUN
ejpam-4245	225	12	at	at	ADP
ejpam-4245	225	13	the	the	DET
ejpam-4245	225	14	walls	wall	NOUN
ejpam-4245	225	15	of	of	ADP
ejpam-4245	225	16	the	the	DET
ejpam-4245	225	17	arteries	artery	NOUN
ejpam-4245	225	18	perturbs	perturb	VERB
ejpam-4245	225	19	the	the	DET
ejpam-4245	225	20	velocity	velocity	NOUN
ejpam-4245	225	21	due	due	ADP
ejpam-4245	225	22	to	to	ADP
ejpam-4245	225	23	the	the	DET
ejpam-4245	225	24	obstructed	obstruct	VERB
ejpam-4245	225	25	arterial	arterial	ADJ
ejpam-4245	225	26	segments	segment	NOUN
ejpam-4245	225	27	of	of	ADP
ejpam-4245	225	28	the	the	DET
ejpam-4245	225	29	tube	tube	NOUN
ejpam-4245	225	30	.	.	PUNCT
ejpam-4245	226	1	it	it	PRON
ejpam-4245	226	2	is	be	AUX
ejpam-4245	226	3	also	also	ADV
ejpam-4245	226	4	observed	observe	VERB
ejpam-4245	226	5	at	at	ADP
ejpam-4245	226	6	the	the	DET
ejpam-4245	226	7	throat	throat	NOUN
ejpam-4245	226	8	of	of	ADP
ejpam-4245	226	9	the	the	DET
ejpam-4245	226	10	stenosis	stenosis	NOUN
ejpam-4245	226	11	(	(	PUNCT
ejpam-4245	226	12	u=1.6	u=1.6	X
ejpam-4245	226	13	)	)	PUNCT
ejpam-4245	226	14	,	,	PUNCT
ejpam-4245	226	15	the	the	DET
ejpam-4245	226	16	axial	axial	ADJ
ejpam-4245	226	17	velocity	velocity	NOUN
ejpam-4245	226	18	increases	increase	VERB
ejpam-4245	226	19	with	with	ADP
ejpam-4245	226	20	r=0.1	r=0.1	NOUN
ejpam-4245	226	21	and	and	CCONJ
ejpam-4245	226	22	0.2	0.2	NUM
ejpam-4245	226	23	with	with	ADP
ejpam-4245	226	24	increase	increase	NOUN
ejpam-4245	226	25	in	in	ADP
ejpam-4245	226	26	the	the	DET
ejpam-4245	226	27	radial	radial	ADJ
ejpam-4245	226	28	distance	distance	NOUN
ejpam-4245	226	29	.	.	PUNCT
ejpam-4245	227	1	however	however	ADV
ejpam-4245	227	2	,	,	PUNCT
ejpam-4245	227	3	for	for	ADP
ejpam-4245	227	4	r	r	NOUN
ejpam-4245	227	5	=	=	SYM
ejpam-4245	227	6	0.3	0.3	NUM
ejpam-4245	227	7	and	and	CCONJ
ejpam-4245	227	8	0.4	0.4	NUM
ejpam-4245	227	9	,	,	PUNCT
ejpam-4245	227	10	the	the	DET
ejpam-4245	227	11	trend	trend	NOUN
ejpam-4245	227	12	is	be	AUX
ejpam-4245	227	13	metamorphosed	metamorphose	VERB
ejpam-4245	227	14	.	.	PUNCT
ejpam-4245	228	1	similarly	similarly	ADV
ejpam-4245	228	2	,	,	PUNCT
ejpam-4245	228	3	at	at	ADP
ejpam-4245	228	4	u	u	NOUN
ejpam-4245	228	5	=	=	PROPN
ejpam-4245	228	6	1.8	1.8	NUM
ejpam-4245	228	7	and	and	CCONJ
ejpam-4245	228	8	1.9	1.9	NUM
ejpam-4245	228	9	(	(	PUNCT
ejpam-4245	228	10	the	the	DET
ejpam-4245	228	11	throat	throat	NOUN
ejpam-4245	228	12	of	of	ADP
ejpam-4245	228	13	the	the	DET
ejpam-4245	228	14	stenosis	stenosis	NOUN
ejpam-4245	228	15	)	)	PUNCT
ejpam-4245	228	16	the	the	DET
ejpam-4245	228	17	axial	axial	ADJ
ejpam-4245	228	18	velocity	velocity	NOUN
ejpam-4245	228	19	profile	profile	NOUN
ejpam-4245	228	20	drastically	drastically	ADV
ejpam-4245	228	21	increases	increase	VERB
ejpam-4245	228	22	as	as	SCONJ
ejpam-4245	228	23	shown	show	VERB
ejpam-4245	228	24	in	in	ADP
ejpam-4245	228	25	the	the	DET
ejpam-4245	228	26	figures	figure	NOUN
ejpam-4245	228	27	3	3	NUM
ejpam-4245	228	28	and	and	CCONJ
ejpam-4245	228	29	4	4	NUM
ejpam-4245	228	30	.	.	NUM
ejpam-4245	228	31	figures	figure	NOUN
ejpam-4245	228	32	5	5	NUM
ejpam-4245	228	33	-	-	SYM
ejpam-4245	228	34	7	7	NUM
ejpam-4245	228	35	illustrate	illustrate	VERB
ejpam-4245	228	36	the	the	DET
ejpam-4245	228	37	absolute	absolute	ADJ
ejpam-4245	228	38	values	value	NOUN
ejpam-4245	228	39	of	of	ADP
ejpam-4245	228	40	the	the	DET
ejpam-4245	228	41	dimensionless	dimensionless	NOUN
ejpam-4245	228	42	pressure	pressure	NOUN
ejpam-4245	228	43	gradient	gradient	NOUN
ejpam-4245	229	1	|	|	ADV
ejpam-4245	229	2	∂p∂x	∂p∂x	PROPN
ejpam-4245	229	3	|	|	ADV
ejpam-4245	229	4	defined	define	VERB
ejpam-4245	229	5	in	in	ADP
ejpam-4245	229	6	the	the	DET
ejpam-4245	229	7	range	range	NOUN
ejpam-4245	229	8	0	0	NUM
ejpam-4245	229	9	to	to	ADP
ejpam-4245	229	10	1	1	NUM
ejpam-4245	229	11	for	for	ADP
ejpam-4245	229	12	δ	δ	NOUN
ejpam-4245	229	13	=	=	SYM
ejpam-4245	229	14	1	1	NUM
ejpam-4245	229	15	4	4	NUM
ejpam-4245	229	16	for	for	ADP
ejpam-4245	229	17	the	the	DET
ejpam-4245	229	18	reynold	reynold	PROPN
ejpam-4245	229	19	j.	j.	PROPN
ejpam-4245	229	20	tsetimi	tsetimi	PROPN
ejpam-4245	229	21	,	,	PUNCT
ejpam-4245	229	22	e.	e.	PROPN
ejpam-4245	229	23	j.	j.	PROPN
ejpam-4245	229	24	mamadu	mamadu	PROPN
ejpam-4245	229	25	/	/	SYM
ejpam-4245	229	26	eur	eur	PROPN
ejpam-4245	229	27	.	.	PUNCT
ejpam-4245	230	1	j.	j.	PROPN
ejpam-4245	230	2	pure	pure	PROPN
ejpam-4245	230	3	appl	appl	PROPN
ejpam-4245	230	4	.	.	PROPN
ejpam-4245	230	5	math	math	PROPN
ejpam-4245	230	6	,	,	PUNCT
ejpam-4245	230	7	15	15	NUM
ejpam-4245	230	8	(	(	PUNCT
ejpam-4245	230	9	1	1	NUM
ejpam-4245	230	10	)	)	PUNCT
ejpam-4245	230	11	(	(	PUNCT
ejpam-4245	230	12	2022	2022	NUM
ejpam-4245	230	13	)	)	PUNCT
ejpam-4245	230	14	,	,	PUNCT
ejpam-4245	230	15	314	314	NUM
ejpam-4245	230	16	-	-	SYM
ejpam-4245	230	17	327	327	NUM
ejpam-4245	230	18	325	325	NUM
ejpam-4245	230	19	numbers	number	NOUN
ejpam-4245	230	20	20	20	NUM
ejpam-4245	230	21	,	,	PUNCT
ejpam-4245	230	22	30	30	NUM
ejpam-4245	230	23	and	and	CCONJ
ejpam-4245	230	24	50	50	NUM
ejpam-4245	230	25	.	.	PUNCT
ejpam-4245	231	1	it	it	PRON
ejpam-4245	231	2	is	be	AUX
ejpam-4245	231	3	observed	observe	VERB
ejpam-4245	231	4	that	that	SCONJ
ejpam-4245	231	5	the	the	DET
ejpam-4245	231	6	pressure	pressure	NOUN
ejpam-4245	231	7	gradient	gradient	NOUN
ejpam-4245	231	8	is	be	AUX
ejpam-4245	231	9	at	at	ADP
ejpam-4245	231	10	the	the	DET
ejpam-4245	231	11	throat	throat	NOUN
ejpam-4245	231	12	of	of	ADP
ejpam-4245	231	13	stenosis	stenosis	NOUN
ejpam-4245	231	14	as	as	ADP
ejpam-4245	231	15	the	the	DET
ejpam-4245	231	16	reynold	reynold	ADJ
ejpam-4245	231	17	number	number	NOUN
ejpam-4245	231	18	increases	increase	NOUN
ejpam-4245	231	19	.	.	PUNCT
ejpam-4245	232	1	however	however	ADV
ejpam-4245	232	2	,	,	PUNCT
ejpam-4245	232	3	the	the	DET
ejpam-4245	232	4	variation	variation	NOUN
ejpam-4245	232	5	of	of	ADP
ejpam-4245	232	6	the	the	DET
ejpam-4245	232	7	pressure	pressure	NOUN
ejpam-4245	232	8	gradient	gradient	NOUN
ejpam-4245	232	9	is	be	AUX
ejpam-4245	232	10	mostly	mostly	ADV
ejpam-4245	232	11	felt	feel	VERB
ejpam-4245	232	12	at	at	ADP
ejpam-4245	232	13	the	the	DET
ejpam-4245	232	14	downstream	downstream	NOUN
ejpam-4245	232	15	of	of	ADP
ejpam-4245	232	16	the	the	DET
ejpam-4245	232	17	tube	tube	NOUN
ejpam-4245	232	18	.	.	PUNCT
ejpam-4245	233	1	figure	figure	NOUN
ejpam-4245	233	2	2	2	NUM
ejpam-4245	233	3	.	.	PUNCT
ejpam-4245	233	4	velocity	velocity	NOUN
ejpam-4245	233	5	profile	profile	NOUN
ejpam-4245	233	6	for	for	ADP
ejpam-4245	233	7	𝑹𝒆	𝑹𝒆	PROPN
ejpam-4245	233	8	=	=	SYM
ejpam-4245	233	9	𝟐𝟎	𝟐𝟎	NUM
ejpam-4245	233	10	,	,	PUNCT
ejpam-4245	233	11	𝜹	𝜹	X
ejpam-4245	233	12	=	=	SYM
ejpam-4245	233	13	𝟏	𝟏	NUM
ejpam-4245	233	14	𝟒	𝟒	NUM
ejpam-4245	233	15	figure	figure	NOUN
ejpam-4245	233	16	3	3	NUM
ejpam-4245	233	17	.	.	PUNCT
ejpam-4245	233	18	velocity	velocity	NOUN
ejpam-4245	233	19	profile	profile	NOUN
ejpam-4245	233	20	for	for	ADP
ejpam-4245	233	21	𝑹𝒆	𝑹𝒆	PROPN
ejpam-4245	233	22	=	=	SYM
ejpam-4245	233	23	𝟔𝟎	𝟔𝟎	PROPN
ejpam-4245	233	24	,	,	PUNCT
ejpam-4245	233	25	𝜹	𝜹	X
ejpam-4245	233	26	=	=	SYM
ejpam-4245	233	27	𝟏	𝟏	NUM
ejpam-4245	233	28	𝟒	𝟒	NUM
ejpam-4245	233	29	figure	figure	NOUN
ejpam-4245	233	30	4	4	NUM
ejpam-4245	233	31	.	.	PUNCT
ejpam-4245	233	32	velocity	velocity	NOUN
ejpam-4245	233	33	profile	profile	NOUN
ejpam-4245	233	34	for	for	ADP
ejpam-4245	233	35	𝑹𝒆	𝑹𝒆	PROPN
ejpam-4245	233	36	=	=	SYM
ejpam-4245	233	37	𝟏𝟎𝟎𝟎	𝟏𝟎𝟎𝟎	PROPN
ejpam-4245	233	38	,	,	PUNCT
ejpam-4245	233	39	𝜹	𝜹	X
ejpam-4245	233	40	=	=	SYM
ejpam-4245	233	41	𝟏	𝟏	NUM
ejpam-4245	233	42	𝟒	𝟒	NUM
ejpam-4245	233	43	figure	figure	NOUN
ejpam-4245	233	44	5	5	NUM
ejpam-4245	233	45	.	.	PUNCT
ejpam-4245	233	46	absolute	absolute	ADJ
ejpam-4245	233	47	pressure	pressure	NOUN
ejpam-4245	233	48	gradient	gradient	NOUN
ejpam-4245	233	49	for	for	ADP
ejpam-4245	233	50	𝛅	𝛅	PROPN
ejpam-4245	233	51	=	=	SYM
ejpam-4245	233	52	𝟏	𝟏	NUM
ejpam-4245	233	53	𝟒	𝟒	X
ejpam-4245	233	54	.	.	PUNCT
ejpam-4245	234	1	figure	figure	VERB
ejpam-4245	234	2	6	6	NUM
ejpam-4245	234	3	.	.	PUNCT
ejpam-4245	235	1	absolute	absolute	ADJ
ejpam-4245	235	2	pressure	pressure	NOUN
ejpam-4245	235	3	gradient	gradient	NOUN
ejpam-4245	235	4	for	for	ADP
ejpam-4245	235	5	𝛅	𝛅	PROPN
ejpam-4245	235	6	=	=	SYM
ejpam-4245	235	7	𝟏	𝟏	NUM
ejpam-4245	235	8	𝟒	𝟒	X
ejpam-4245	235	9	.	.	PUNCT
ejpam-4245	236	1	figure	figure	VERB
ejpam-4245	236	2	7	7	NUM
ejpam-4245	236	3	.	.	PUNCT
ejpam-4245	237	1	absolute	absolute	ADJ
ejpam-4245	237	2	pressure	pressure	NOUN
ejpam-4245	237	3	gradient	gradient	NOUN
ejpam-4245	237	4	for	for	ADP
ejpam-4245	237	5	𝛅	𝛅	PROPN
ejpam-4245	237	6	=	=	SYM
ejpam-4245	237	7	𝟏	𝟏	PROPN
ejpam-4245	237	8	𝟒	𝟒	NUM
ejpam-4245	237	9	.	.	PUNCT
ejpam-4245	238	1	j.	j.	PROPN
ejpam-4245	238	2	tsetimi	tsetimi	PROPN
ejpam-4245	238	3	,	,	PUNCT
ejpam-4245	238	4	e.	e.	PROPN
ejpam-4245	238	5	j.	j.	PROPN
ejpam-4245	238	6	mamadu	mamadu	PROPN
ejpam-4245	238	7	/	/	SYM
ejpam-4245	238	8	eur	eur	PROPN
ejpam-4245	238	9	.	.	PUNCT
ejpam-4245	239	1	j.	j.	PROPN
ejpam-4245	239	2	pure	pure	PROPN
ejpam-4245	239	3	appl	appl	PROPN
ejpam-4245	239	4	.	.	PROPN
ejpam-4245	239	5	math	math	PROPN
ejpam-4245	239	6	,	,	PUNCT
ejpam-4245	239	7	15	15	NUM
ejpam-4245	239	8	(	(	PUNCT
ejpam-4245	239	9	1	1	NUM
ejpam-4245	239	10	)	)	PUNCT
ejpam-4245	239	11	(	(	PUNCT
ejpam-4245	239	12	2022	2022	NUM
ejpam-4245	239	13	)	)	PUNCT
ejpam-4245	239	14	,	,	PUNCT
ejpam-4245	239	15	314	314	NUM
ejpam-4245	239	16	-	-	SYM
ejpam-4245	239	17	327	327	NUM
ejpam-4245	239	18	326	326	NUM
ejpam-4245	239	19	6	6	NUM
ejpam-4245	239	20	.	.	PUNCT
ejpam-4245	240	1	conclusion	conclusion	NOUN
ejpam-4245	240	2	in	in	ADP
ejpam-4245	240	3	this	this	DET
ejpam-4245	240	4	research	research	NOUN
ejpam-4245	240	5	work	work	NOUN
ejpam-4245	241	1	,	,	PUNCT
ejpam-4245	241	2	we	we	PRON
ejpam-4245	241	3	presented	present	VERB
ejpam-4245	241	4	the	the	DET
ejpam-4245	241	5	numerical	numerical	ADJ
ejpam-4245	241	6	approach	approach	NOUN
ejpam-4245	241	7	for	for	ADP
ejpam-4245	241	8	modeling	model	VERB
ejpam-4245	241	9	the	the	DET
ejpam-4245	241	10	axisymmetric	axisymmetric	ADJ
ejpam-4245	241	11	flow	flow	NOUN
ejpam-4245	241	12	of	of	ADP
ejpam-4245	241	13	blood	blood	NOUN
ejpam-4245	241	14	in	in	ADP
ejpam-4245	241	15	an	an	DET
ejpam-4245	241	16	embolus	embolus	ADJ
ejpam-4245	241	17	tube	tube	NOUN
ejpam-4245	241	18	involving	involve	VERB
ejpam-4245	241	19	two	two	NUM
ejpam-4245	241	20	dimensional	dimensional	ADJ
ejpam-4245	241	21	navier	navier	NOUN
ejpam-4245	241	22	-	-	PUNCT
ejpam-4245	241	23	stoke	stoke	NOUN
ejpam-4245	241	24	equations	equation	NOUN
ejpam-4245	241	25	.	.	PUNCT
ejpam-4245	242	1	the	the	DET
ejpam-4245	242	2	vim	vim	PROPN
ejpam-4245	242	3	coincides	coincide	VERB
ejpam-4245	242	4	with	with	ADP
ejpam-4245	242	5	the	the	DET
ejpam-4245	242	6	integral	integral	ADJ
ejpam-4245	242	7	momentum	momentum	NOUN
ejpam-4245	242	8	equation	equation	NOUN
ejpam-4245	242	9	method	method	NOUN
ejpam-4245	242	10	[	[	X
ejpam-4245	242	11	12	12	NUM
ejpam-4245	242	12	]	]	PUNCT
ejpam-4245	242	13	,	,	PUNCT
ejpam-4245	242	14	which	which	PRON
ejpam-4245	242	15	yields	yield	VERB
ejpam-4245	242	16	the	the	DET
ejpam-4245	242	17	same	same	ADJ
ejpam-4245	242	18	sets	set	NOUN
ejpam-4245	242	19	of	of	ADP
ejpam-4245	242	20	equations	equation	NOUN
ejpam-4245	242	21	for	for	ADP
ejpam-4245	242	22	the	the	DET
ejpam-4245	242	23	velocity	velocity	NOUN
ejpam-4245	242	24	profile	profile	NOUN
ejpam-4245	242	25	and	and	CCONJ
ejpam-4245	242	26	pressure	pressure	NOUN
ejpam-4245	242	27	gradient	gradient	NOUN
ejpam-4245	242	28	equations	equation	NOUN
ejpam-4245	242	29	.	.	PUNCT
ejpam-4245	243	1	results	result	NOUN
ejpam-4245	243	2	from	from	ADP
ejpam-4245	243	3	this	this	DET
ejpam-4245	243	4	model	model	NOUN
ejpam-4245	243	5	corresponds	correspond	VERB
ejpam-4245	243	6	with	with	ADP
ejpam-4245	243	7	that	that	PRON
ejpam-4245	243	8	of	of	ADP
ejpam-4245	243	9	the	the	DET
ejpam-4245	243	10	most	most	ADV
ejpam-4245	243	11	resent	resent	ADJ
ejpam-4245	243	12	experimental	experimental	ADJ
ejpam-4245	243	13	data	datum	NOUN
ejpam-4245	243	14	that	that	PRON
ejpam-4245	243	15	explain	explain	VERB
ejpam-4245	243	16	how	how	SCONJ
ejpam-4245	243	17	the	the	DET
ejpam-4245	243	18	effect	effect	NOUN
ejpam-4245	243	19	of	of	ADP
ejpam-4245	243	20	obstruction	obstruction	NOUN
ejpam-4245	243	21	to	to	ADP
ejpam-4245	243	22	the	the	DET
ejpam-4245	243	23	flow	flow	NOUN
ejpam-4245	243	24	of	of	ADP
ejpam-4245	243	25	blood	blood	NOUN
ejpam-4245	243	26	in	in	ADP
ejpam-4245	243	27	the	the	DET
ejpam-4245	243	28	artery	artery	NOUN
ejpam-4245	243	29	of	of	ADP
ejpam-4245	243	30	the	the	DET
ejpam-4245	243	31	human	human	ADJ
ejpam-4245	243	32	body	body	NOUN
ejpam-4245	243	33	with	with	ADP
ejpam-4245	243	34	reference	reference	NOUN
ejpam-4245	243	35	to	to	ADP
ejpam-4245	243	36	pressure	pressure	NOUN
ejpam-4245	243	37	and	and	CCONJ
ejpam-4245	243	38	velocity	velocity	NOUN
ejpam-4245	243	39	of	of	ADP
ejpam-4245	243	40	the	the	DET
ejpam-4245	243	41	blood	blood	NOUN
ejpam-4245	243	42	flow	flow	NOUN
ejpam-4245	243	43	pass	pass	VERB
ejpam-4245	243	44	an	an	DET
ejpam-4245	243	45	embolus	embolus	NOUN
ejpam-4245	243	46	.	.	PUNCT
ejpam-4245	244	1	references	reference	NOUN
ejpam-4245	244	2	[	[	X
ejpam-4245	244	3	1	1	NUM
ejpam-4245	244	4	]	]	PUNCT
ejpam-4245	244	5	mark	mark	NOUN
ejpam-4245	244	6	,	,	PUNCT
ejpam-4245	244	7	r.	r.	PROPN
ejpam-4245	244	8	g.	g.	PROPN
ejpam-4245	244	9	(	(	PUNCT
ejpam-4245	244	10	2013	2013	NUM
ejpam-4245	244	11	)	)	PUNCT
ejpam-4245	244	12	.	.	PUNCT
ejpam-4245	245	1	physiological	physiological	ADJ
ejpam-4245	245	2	fluid	fluid	NOUN
ejpam-4245	245	3	dynamics	dynamic	NOUN
ejpam-4245	245	4	.	.	PUNCT
ejpam-4245	246	1	department	department	NOUN
ejpam-4245	246	2	of	of	ADP
ejpam-4245	246	3	electrical	electrical	ADJ
ejpam-4245	246	4	engineering	engineering	NOUN
ejpam-4245	246	5	,	,	PUNCT
ejpam-4245	246	6	mechanical	mechanical	ADJ
ejpam-4245	246	7	engineering	engineering	NOUN
ejpam-4245	246	8	and	and	CCONJ
ejpam-4245	246	9	the	the	DET
ejpam-4245	246	10	harvard	harvard	PROPN
ejpam-4245	246	11	-	-	PUNCT
ejpam-4245	246	12	mit	mit	NOUN
ejpam-4245	246	13	division	division	NOUN
ejpam-4245	246	14	of	of	ADP
ejpam-4245	246	15	health	health	NOUN
ejpam-4245	246	16	sciences	science	NOUN
ejpam-4245	246	17	and	and	CCONJ
ejpam-4245	246	18	technology	technology	NOUN
ejpam-4245	246	19	.	.	PUNCT
ejpam-4245	247	1	[	[	X
ejpam-4245	247	2	2	2	NUM
ejpam-4245	247	3	]	]	X
ejpam-4245	247	4	chien	chien	PROPN
ejpam-4245	247	5	,	,	PUNCT
ejpam-4245	247	6	s.	s.	PROPN
ejpam-4245	247	7	(	(	PUNCT
ejpam-4245	247	8	1981	1981	NUM
ejpam-4245	247	9	)	)	PUNCT
ejpam-4245	247	10	.	.	PUNCT
ejpam-4245	248	1	hemorheology	hemorheology	NOUN
ejpam-4245	248	2	in	in	ADP
ejpam-4245	248	3	clinical	clinical	ADJ
ejpam-4245	248	4	medicine	medicine	NOUN
ejpam-4245	248	5	,	,	PUNCT
ejpam-4245	248	6	recent	recent	ADJ
ejpam-4245	248	7	advances	advance	NOUN
ejpam-4245	248	8	in	in	ADP
ejpam-4245	248	9	cardiovascular	cardiovascular	ADJ
ejpam-4245	248	10	diseases	disease	NOUN
ejpam-4245	248	11	,	,	PUNCT
ejpam-4245	248	12	2:21	2:21	NUM
ejpam-4245	248	13	-26	-26	NOUN
ejpam-4245	248	14	.	.	PUNCT
ejpam-4245	249	1	[	[	X
ejpam-4245	249	2	3	3	NUM
ejpam-4245	249	3	]	]	X
ejpam-4245	249	4	yamaguchi	yamaguchi	PROPN
ejpam-4245	249	5	,	,	PUNCT
ejpam-4245	249	6	t.	t.	PROPN
ejpam-4245	249	7	(	(	PUNCT
ejpam-4245	249	8	1996	1996	NUM
ejpam-4245	249	9	)	)	PUNCT
ejpam-4245	249	10	.	.	PUNCT
ejpam-4245	250	1	advances	advance	NOUN
ejpam-4245	250	2	in	in	ADP
ejpam-4245	250	3	hemodynamics	hemodynamic	NOUN
ejpam-4245	250	4	and	and	CCONJ
ejpam-4245	250	5	hemorheology	hemorheology	NOUN
ejpam-4245	250	6	.	.	PUNCT
ejpam-4245	251	1	1:201	1:201	NUM
ejpam-4245	251	2	-	-	SYM
ejpam-4245	251	3	227	227	NUM
ejpam-4245	251	4	.	.	PUNCT
ejpam-4245	252	1	[	[	X
ejpam-4245	252	2	4	4	NUM
ejpam-4245	252	3	]	]	X
ejpam-4245	252	4	young	young	ADJ
ejpam-4245	252	5	,	,	PUNCT
ejpam-4245	252	6	d.	d.	PROPN
ejpam-4245	252	7	f.	f.	PROPN
ejpam-4245	252	8	(	(	PUNCT
ejpam-4245	252	9	1968	1968	NUM
ejpam-4245	252	10	)	)	PUNCT
ejpam-4245	252	11	.	.	PUNCT
ejpam-4245	253	1	effect	effect	NOUN
ejpam-4245	253	2	of	of	ADP
ejpam-4245	253	3	a	a	DET
ejpam-4245	253	4	time	time	NOUN
ejpam-4245	253	5	-	-	PUNCT
ejpam-4245	253	6	dependent	dependent	ADJ
ejpam-4245	253	7	stenosis	stenosis	NOUN
ejpam-4245	253	8	on	on	ADP
ejpam-4245	253	9	flow	flow	NOUN
ejpam-4245	253	10	through	through	ADP
ejpam-4245	253	11	a	a	DET
ejpam-4245	253	12	tube	tube	NOUN
ejpam-4245	253	13	.	.	PUNCT
ejpam-4245	254	1	trans	trans	PROPN
ejpam-4245	254	2	.	.	PUNCT
ejpam-4245	255	1	asme	asme	PROPN
ejpam-4245	255	2	,	,	PUNCT
ejpam-4245	255	3	j.	j.	PROPN
ejpam-4245	255	4	energy	energy	PROPN
ejpam-4245	255	5	ind	ind	PROPN
ejpam-4245	255	6	.	.	PUNCT
ejpam-4245	256	1	90	90	NUM
ejpam-4245	256	2	:	:	PUNCT
ejpam-4245	256	3	248	248	NUM
ejpam-4245	256	4	-	-	SYM
ejpam-4245	256	5	254	254	NUM
ejpam-4245	256	6	.	.	PUNCT
ejpam-4245	256	7	http	http	NOUN
ejpam-4245	256	8	:	:	PUNCT
ejpam-4245	256	9	//books.google.com.ng	//books.google.com.ng	SYM
ejpam-4245	256	10	/	/	SYM
ejpam-4245	256	11	books	book	NOUN
ejpam-4245	256	12	/	/	SYM
ejpam-4245	256	13	about	about	ADP
ejpam-4245	256	14	/	/	SYM
ejpam-4245	256	15	on−	on−	X
ejpam-4245	256	16	aortic	aortic	ADJ
ejpam-4245	256	17	blood	blood	NOUN
ejpam-4245	256	18	f	f	X
ejpam-4245	256	19	low	low	ADV
ejpam-4245	256	20	simulations.html?id	simulations.html?id	PROPN
ejpam-4245	256	21	=	=	SYM
ejpam-4245	256	22	j3e9daeacaaj&redir	j3e9daeacaaj&redir	PROPN
ejpam-4245	256	23	esc	esc	NOUN
ejpam-4245	256	24	=	=	SYM
ejpam-4245	256	25	y.	y.	PROPN
ejpam-4245	256	26	web11th	web11th	PROPN
ejpam-4245	256	27	july	july	PROPN
ejpam-4245	256	28	,	,	PUNCT
ejpam-4245	256	29	2017	2017	NUM
ejpam-4245	256	30	.	.	PUNCT
ejpam-4245	257	1	[	[	X
ejpam-4245	257	2	5	5	NUM
ejpam-4245	257	3	]	]	X
ejpam-4245	257	4	morgan	morgan	PROPN
ejpam-4245	257	5	,	,	PUNCT
ejpam-4245	257	6	b.	b.	PROPN
ejpam-4245	257	7	e.	e.	PROPN
ejpam-4245	257	8	and	and	CCONJ
ejpam-4245	257	9	young	young	PROPN
ejpam-4245	257	10	,	,	PUNCT
ejpam-4245	257	11	d.f	d.f	PROPN
ejpam-4245	257	12	.	.	PROPN
ejpam-4245	257	13	(	(	PUNCT
ejpam-4245	257	14	1974	1974	NUM
ejpam-4245	257	15	)	)	PUNCT
ejpam-4245	257	16	.	.	PUNCT
ejpam-4245	258	1	an	an	DET
ejpam-4245	258	2	integral	integral	ADJ
ejpam-4245	258	3	method	method	NOUN
ejpam-4245	258	4	for	for	ADP
ejpam-4245	258	5	analysis	analysis	NOUN
ejpam-4245	258	6	of	of	ADP
ejpam-4245	258	7	flow	flow	NOUN
ejpam-4245	258	8	in	in	ADP
ejpam-4245	258	9	arterial	arterial	ADJ
ejpam-4245	258	10	stenosis	stenosis	NOUN
ejpam-4245	258	11	.	.	PUNCT
ejpam-4245	259	1	bull	bull	NOUN
ejpam-4245	259	2	.	.	PUNCT
ejpam-4245	260	1	math	math	NOUN
ejpam-4245	260	2	.	.	PUNCT
ejpam-4245	261	1	biol	biol	PROPN
ejpam-4245	261	2	.	.	PUNCT
ejpam-4245	262	1	36	36	NUM
ejpam-4245	262	2	:	:	SYM
ejpam-4245	262	3	39	39	NUM
ejpam-4245	262	4	-	-	SYM
ejpam-4245	262	5	53	53	NUM
ejpam-4245	262	6	.	.	PUNCT
ejpam-4245	263	1	[	[	X
ejpam-4245	263	2	6	6	NUM
ejpam-4245	263	3	]	]	X
ejpam-4245	263	4	lee	lee	PROPN
ejpam-4245	263	5	,	,	PUNCT
ejpam-4245	263	6	b.	b.	PROPN
ejpam-4245	263	7	y.	y.	PROPN
ejpam-4245	263	8	,	,	PUNCT
ejpam-4245	263	9	assadi	assadi	NOUN
ejpam-4245	263	10	,	,	PUNCT
ejpam-4245	263	11	c.	c.	PROPN
ejpam-4245	263	12	,	,	PUNCT
ejpam-4245	263	13	madden	madden	PROPN
ejpam-4245	263	14	,	,	PUNCT
ejpam-4245	263	15	j.	j.	PROPN
ejpam-4245	263	16	l.	l.	PROPN
ejpam-4245	263	17	et	et	PROPN
ejpam-4245	263	18	al	al	PROPN
ejpam-4245	263	19	.	.	PROPN
ejpam-4245	263	20	world	world	PROPN
ejpam-4245	263	21	,	,	PUNCT
ejpam-4245	263	22	j.	j.	PROPN
ejpam-4245	263	23	surg	surg	PROPN
ejpam-4245	263	24	.	.	PUNCT
ejpam-4245	264	1	(	(	PUNCT
ejpam-4245	264	2	1978	1978	NUM
ejpam-4245	264	3	)	)	PUNCT
ejpam-4245	264	4	.	.	PUNCT
ejpam-4245	265	1	hemodynamics	hemodynamic	NOUN
ejpam-4245	265	2	of	of	ADP
ejpam-4245	265	3	arterial	arterial	ADJ
ejpam-4245	265	4	stenosis	stenosis	NOUN
ejpam-4245	265	5	.	.	PUNCT
ejpam-4245	266	1	world	world	NOUN
ejpam-4245	266	2	journal	journal	PROPN
ejpam-4245	266	3	of	of	ADP
ejpam-4245	266	4	surgery	surgery	NOUN
ejpam-4245	266	5	.	.	PUNCT
ejpam-4245	267	1	2(5	2(5	NOUN
ejpam-4245	267	2	):	):	PUNCT
ejpam-4245	267	3	621	621	NUM
ejpam-4245	267	4	-	-	SYM
ejpam-4245	267	5	627	627	NUM
ejpam-4245	267	6	.	.	PUNCT
ejpam-4245	268	1	[	[	X
ejpam-4245	268	2	7	7	NUM
ejpam-4245	268	3	]	]	SYM
ejpam-4245	268	4	kapur	kapur	PROPN
ejpam-4245	268	5	,	,	PUNCT
ejpam-4245	268	6	j.	j.	PROPN
ejpam-4245	268	7	n.	n.	PROPN
ejpam-4245	268	8	(	(	PUNCT
ejpam-4245	268	9	1984	1984	NUM
ejpam-4245	268	10	)	)	PUNCT
ejpam-4245	268	11	.	.	PUNCT
ejpam-4245	269	1	mathematical	mathematical	ADJ
ejpam-4245	269	2	models	model	NOUN
ejpam-4245	269	3	in	in	ADP
ejpam-4245	269	4	medical	medical	ADJ
ejpam-4245	269	5	sciences	science	NOUN
ejpam-4245	269	6	.	.	PUNCT
ejpam-4245	270	1	international	international	ADJ
ejpam-4245	270	2	journal	journal	PROPN
ejpam-4245	270	3	of	of	ADP
ejpam-4245	270	4	mathematical	mathematical	ADJ
ejpam-4245	270	5	education	education	NOUN
ejpam-4245	270	6	in	in	ADP
ejpam-4245	270	7	science	science	NOUN
ejpam-4245	270	8	and	and	CCONJ
ejpam-4245	270	9	technology	technology	NOUN
ejpam-4245	270	10	.	.	PUNCT
ejpam-4245	271	1	5(5):587	5(5):587	NUM
ejpam-4245	271	2	-	-	SYM
ejpam-4245	271	3	600	600	NUM
ejpam-4245	271	4	.	.	PUNCT
ejpam-4245	272	1	[	[	X
ejpam-4245	272	2	8	8	NUM
ejpam-4245	272	3	]	]	X
ejpam-4245	272	4	pralhad	pralhad	VERB
ejpam-4245	272	5	,	,	PUNCT
ejpam-4245	272	6	r.	r.	PROPN
ejpam-4245	272	7	n.	n.	PROPN
ejpam-4245	272	8	and	and	CCONJ
ejpam-4245	272	9	schultz	schultz	PROPN
ejpam-4245	272	10	,	,	PUNCT
ejpam-4245	272	11	d.	d.	PROPN
ejpam-4245	272	12	h.(2004	h.(2004	PROPN
ejpam-4245	272	13	)	)	PUNCT
ejpam-4245	272	14	.	.	PUNCT
ejpam-4245	273	1	modeling	modeling	NOUN
ejpam-4245	273	2	of	of	ADP
ejpam-4245	273	3	arterial	arterial	ADJ
ejpam-4245	273	4	stenosis	stenosis	NOUN
ejpam-4245	273	5	and	and	CCONJ
ejpam-4245	273	6	its	its	PRON
ejpam-4245	273	7	applications	application	NOUN
ejpam-4245	273	8	to	to	ADP
ejpam-4245	273	9	blood	blood	NOUN
ejpam-4245	273	10	diseases	disease	NOUN
ejpam-4245	273	11	.	.	PUNCT
ejpam-4245	274	1	mathematical	mathematical	ADJ
ejpam-4245	274	2	biosciences	bioscience	NOUN
ejpam-4245	274	3	190(2004	190(2004	NUM
ejpam-4245	274	4	)	)	PUNCT
ejpam-4245	274	5	,	,	PUNCT
ejpam-4245	274	6	203	203	NUM
ejpam-4245	274	7	-	-	SYM
ejpam-4245	274	8	220	220	NUM
ejpam-4245	274	9	.	.	PUNCT
ejpam-4245	275	1	[	[	X
ejpam-4245	275	2	9	9	NUM
ejpam-4245	275	3	]	]	PUNCT
ejpam-4245	275	4	ponalgusam	ponalgusam	NOUN
ejpam-4245	275	5	,	,	PUNCT
ejpam-4245	275	6	r.	r.	PROPN
ejpam-4245	275	7	(	(	PUNCT
ejpam-4245	275	8	2007	2007	NUM
ejpam-4245	275	9	)	)	PUNCT
ejpam-4245	275	10	.	.	PUNCT
ejpam-4245	276	1	blood	blood	NOUN
ejpam-4245	276	2	flow	flow	NOUN
ejpam-4245	276	3	through	through	ADP
ejpam-4245	276	4	an	an	DET
ejpam-4245	276	5	artery	artery	NOUN
ejpam-4245	276	6	with	with	ADP
ejpam-4245	276	7	mild	mild	ADJ
ejpam-4245	276	8	stenosis	stenosis	NOUN
ejpam-4245	276	9	:	:	PUNCT
ejpam-4245	276	10	a	a	DET
ejpam-4245	276	11	twolayered	twolayere	VERB
ejpam-4245	276	12	model	model	NOUN
ejpam-4245	276	13	,	,	PUNCT
ejpam-4245	276	14	different	different	ADJ
ejpam-4245	276	15	shapes	shape	NOUN
ejpam-4245	276	16	of	of	ADP
ejpam-4245	276	17	stenosis	stenosis	NOUN
ejpam-4245	276	18	and	and	CCONJ
ejpam-4245	276	19	slip	slip	VERB
ejpam-4245	276	20	velocity	velocity	NOUN
ejpam-4245	276	21	at	at	ADP
ejpam-4245	276	22	the	the	DET
ejpam-4245	276	23	wall	wall	NOUN
ejpam-4245	276	24	.	.	PUNCT
ejpam-4245	277	1	journal	journal	PROPN
ejpam-4245	277	2	of	of	ADP
ejpam-4245	277	3	applied	apply	VERB
ejpam-4245	277	4	sciences	science	NOUN
ejpam-4245	277	5	,	,	PUNCT
ejpam-4245	277	6	14	14	NUM
ejpam-4245	277	7	:	:	SYM
ejpam-4245	277	8	219	219	NUM
ejpam-4245	277	9	-	-	SYM
ejpam-4245	277	10	238	238	NUM
ejpam-4245	277	11	.	.	PUNCT
ejpam-4245	278	1	[	[	X
ejpam-4245	278	2	10	10	NUM
ejpam-4245	278	3	]	]	X
ejpam-4245	278	4	verma	verma	PROPN
ejpam-4245	278	5	,	,	PUNCT
ejpam-4245	278	6	s.	s.	PROPN
ejpam-4245	278	7	r.	r.	PROPN
ejpam-4245	278	8	(	(	PUNCT
ejpam-4245	278	9	2008	2008	NUM
ejpam-4245	278	10	)	)	PUNCT
ejpam-4245	278	11	.	.	PUNCT
ejpam-4245	279	1	study	study	NOUN
ejpam-4245	279	2	of	of	ADP
ejpam-4245	279	3	blood	blood	NOUN
ejpam-4245	279	4	flow	flow	NOUN
ejpam-4245	279	5	through	through	ADP
ejpam-4245	279	6	modeled	model	VERB
ejpam-4245	279	7	vascular	vascular	ADJ
ejpam-4245	279	8	stenosis	stenosis	NOUN
ejpam-4245	279	9	.	.	PUNCT
ejpam-4245	280	1	department	department	NOUN
ejpam-4245	280	2	of	of	ADP
ejpam-4245	280	3	mathematics	mathematics	PROPN
ejpam-4245	280	4	.	.	PUNCT
ejpam-4245	281	1	d.a	d.a	PROPN
ejpam-4245	281	2	-	-	PUNCT
ejpam-4245	281	3	v(p.g	v(p.g	NOUN
ejpam-4245	281	4	)	)	PUNCT
ejpam-4245	281	5	.	.	PUNCT
ejpam-4245	282	1	college	college	PROPN
ejpam-4245	282	2	,	,	PUNCT
ejpam-4245	282	3	kanpur	kanpur	PROPN
ejpam-4245	282	4	208001	208001	NUM
ejpam-4245	282	5	,	,	PUNCT
ejpam-4245	282	6	india	india	PROPN
ejpam-4245	282	7	.	.	PUNCT
ejpam-4245	283	1	j.	j.	PROPN
ejpam-4245	283	2	tsetimi	tsetimi	PROPN
ejpam-4245	283	3	,	,	PUNCT
ejpam-4245	283	4	e.	e.	PROPN
ejpam-4245	283	5	j.	j.	PROPN
ejpam-4245	283	6	mamadu	mamadu	PROPN
ejpam-4245	283	7	/	/	SYM
ejpam-4245	283	8	eur	eur	PROPN
ejpam-4245	283	9	.	.	PUNCT
ejpam-4245	284	1	j.	j.	PROPN
ejpam-4245	284	2	pure	pure	PROPN
ejpam-4245	284	3	appl	appl	PROPN
ejpam-4245	284	4	.	.	PROPN
ejpam-4245	284	5	math	math	PROPN
ejpam-4245	284	6	,	,	PUNCT
ejpam-4245	284	7	15	15	NUM
ejpam-4245	284	8	(	(	PUNCT
ejpam-4245	284	9	1	1	NUM
ejpam-4245	284	10	)	)	PUNCT
ejpam-4245	284	11	(	(	PUNCT
ejpam-4245	284	12	2022	2022	NUM
ejpam-4245	284	13	)	)	PUNCT
ejpam-4245	284	14	,	,	PUNCT
ejpam-4245	284	15	314	314	NUM
ejpam-4245	284	16	-	-	SYM
ejpam-4245	284	17	327	327	NUM
ejpam-4245	284	18	327	327	NUM
ejpam-4245	285	1	[	[	X
ejpam-4245	285	2	11	11	NUM
ejpam-4245	285	3	]	]	PUNCT
ejpam-4245	285	4	he	he	PRON
ejpam-4245	285	5	,	,	PUNCT
ejpam-4245	285	6	j.	j.	PROPN
ejpam-4245	285	7	h.	h.	PROPN
ejpam-4245	285	8	(	(	PUNCT
ejpam-4245	285	9	1999	1999	NUM
ejpam-4245	285	10	)	)	PUNCT
ejpam-4245	285	11	.	.	PUNCT
ejpam-4245	286	1	variational	variational	ADJ
ejpam-4245	286	2	iteration	iteration	NOUN
ejpam-4245	286	3	method	method	NOUN
ejpam-4245	286	4	–	–	PUNCT
ejpam-4245	286	5	a	a	DET
ejpam-4245	286	6	kind	kind	NOUN
ejpam-4245	286	7	of	of	ADP
ejpam-4245	286	8	non	non	ADJ
ejpam-4245	286	9	-	-	ADJ
ejpam-4245	286	10	linear	linear	ADJ
ejpam-4245	286	11	analytic	analytic	ADJ
ejpam-4245	286	12	technique	technique	NOUN
ejpam-4245	286	13	:	:	PUNCT
ejpam-4245	286	14	some	some	DET
ejpam-4245	286	15	examples	example	NOUN
ejpam-4245	286	16	.	.	PUNCT
ejpam-4245	287	1	international	international	ADJ
ejpam-4245	287	2	journal	journal	PROPN
ejpam-4245	287	3	of	of	ADP
ejpam-4245	287	4	non	non	ADJ
ejpam-4245	287	5	-	-	ADJ
ejpam-4245	287	6	linear	linear	ADJ
ejpam-4245	287	7	mechanics	mechanic	NOUN
ejpam-4245	287	8	.	.	PUNCT
ejpam-4245	288	1	vol	vol	NOUN
ejpam-4245	288	2	.	.	PUNCT
ejpam-4245	289	1	34	34	NUM
ejpam-4245	289	2	,	,	PUNCT
ejpam-4245	289	3	issue	issue	VERB
ejpam-4245	289	4	4	4	NUM
ejpam-4245	289	5	699	699	NUM
ejpam-4245	289	6	-	-	SYM
ejpam-4245	289	7	708	708	NUM
ejpam-4245	289	8	.	.	PUNCT
ejpam-4245	290	1	[	[	X
ejpam-4245	290	2	12	12	NUM
ejpam-4245	290	3	]	]	PUNCT
ejpam-4245	290	4	mohammed	mohammed	PROPN
ejpam-4245	290	5	,	,	PUNCT
ejpam-4245	290	6	m.	m.	NOUN
ejpam-4245	290	7	h.	h.	PROPN
ejpam-4245	290	8	(	(	PUNCT
ejpam-4245	290	9	2015	2015	NUM
ejpam-4245	290	10	)	)	PUNCT
ejpam-4245	290	11	.	.	PUNCT
ejpam-4245	291	1	study	study	NOUN
ejpam-4245	291	2	of	of	ADP
ejpam-4245	291	3	fluid	fluid	ADJ
ejpam-4245	291	4	flow	flow	NOUN
ejpam-4245	291	5	through	through	ADP
ejpam-4245	291	6	a	a	DET
ejpam-4245	291	7	tube	tube	NOUN
ejpam-4245	291	8	with	with	ADP
ejpam-4245	291	9	and	and	CCONJ
ejpam-4245	291	10	without	without	ADP
ejpam-4245	291	11	obstacle	obstacle	NOUN
ejpam-4245	291	12	.	.	PUNCT
ejpam-4245	292	1	department	department	NOUN
ejpam-4245	292	2	of	of	ADP
ejpam-4245	292	3	mathematics	mathematics	PROPN
ejpam-4245	292	4	,	,	PUNCT
ejpam-4245	292	5	bangladesh	bangladesh	PROPN
ejpam-4245	292	6	university	university	PROPN
ejpam-4245	292	7	of	of	ADP
ejpam-4245	292	8	engineering	engineering	NOUN
ejpam-4245	292	9	and	and	CCONJ
ejpam-4245	292	10	technology	technology	NOUN
ejpam-4245	292	11	.	.	PUNCT
ejpam-4245	293	1	dhaka-1000	dhaka-1000	ADJ
ejpam-4245	293	2	,	,	PUNCT
ejpam-4245	293	3	bangladesh	bangladesh	NOUN
ejpam-4245	293	4	.	.	PUNCT
ejpam-4245	294	1	pp.18	pp.18	PROPN
ejpam-4245	294	2	-	-	PUNCT
ejpam-4245	294	3	35	35	NUM
ejpam-4245	294	4	.	.	PUNCT
ejpam-4245	295	1	[	[	X
ejpam-4245	295	2	13	13	NUM
ejpam-4245	295	3	]	]	X
ejpam-4245	295	4	saberi	saberi	NOUN
ejpam-4245	295	5	-	-	PUNCT
ejpam-4245	295	6	nadjafi	nadjafi	PROPN
ejpam-4245	295	7	,	,	PUNCT
ejpam-4245	295	8	j.	j.	PROPN
ejpam-4245	295	9	and	and	CCONJ
ejpam-4245	295	10	tamamar	tamamar	PROPN
ejpam-4245	295	11	,	,	PUNCT
ejpam-4245	295	12	m.	m.	NOUN
ejpam-4245	295	13	(	(	PUNCT
ejpam-4245	295	14	2008	2008	NUM
ejpam-4245	295	15	)	)	PUNCT
ejpam-4245	295	16	.	.	PUNCT
ejpam-4245	296	1	the	the	DET
ejpam-4245	296	2	variational	variational	ADJ
ejpam-4245	296	3	iteration	iteration	NOUN
ejpam-4245	296	4	method	method	NOUN
ejpam-4245	296	5	.	.	PUNCT
ejpam-4245	297	1	a	a	DET
ejpam-4245	297	2	highly	highly	ADV
ejpam-4245	297	3	promising	promising	ADJ
ejpam-4245	297	4	method	method	NOUN
ejpam-4245	297	5	for	for	ADP
ejpam-4245	297	6	solving	solve	VERB
ejpam-4245	297	7	the	the	DET
ejpam-4245	297	8	system	system	NOUN
ejpam-4245	297	9	of	of	ADP
ejpam-4245	297	10	integro	integro	ADJ
ejpam-4245	297	11	-	-	PUNCT
ejpam-4245	297	12	differential	differential	NOUN
ejpam-4245	297	13	equations	equation	NOUN
ejpam-4245	297	14	.	.	PUNCT
ejpam-4245	298	1	computers	computer	NOUN
ejpam-4245	298	2	and	and	CCONJ
ejpam-4245	298	3	mathematics	mathematic	NOUN
ejpam-4245	298	4	with	with	ADP
ejpam-4245	298	5	applications	application	NOUN
ejpam-4245	298	6	.	.	PUNCT
ejpam-4245	299	1	56:346	56:346	NUM
ejpam-4245	299	2	-	-	SYM
ejpam-4245	299	3	351	351	NUM
ejpam-4245	299	4	.	.	PUNCT
ejpam-4245	300	1	[	[	X
ejpam-4245	300	2	14	14	NUM
ejpam-4245	300	3	]	]	SYM
ejpam-4245	300	4	mamadu	mamadu	NOUN
ejpam-4245	300	5	,	,	PUNCT
ejpam-4245	300	6	e.	e.	PROPN
ejpam-4245	300	7	j.	j.	PROPN
ejpam-4245	300	8	and	and	CCONJ
ejpam-4245	300	9	tsetimi	tsetimi	PROPN
ejpam-4245	300	10	,	,	PUNCT
ejpam-4245	300	11	j.	j.	PROPN
ejpam-4245	300	12	(	(	PUNCT
ejpam-4245	300	13	2017	2017	NUM
ejpam-4245	300	14	)	)	PUNCT
ejpam-4245	300	15	.	.	PUNCT
ejpam-4245	301	1	variational	variational	ADJ
ejpam-4245	301	2	iteration	iteration	NOUN
ejpam-4245	301	3	method	method	NOUN
ejpam-4245	301	4	for	for	ADP
ejpam-4245	301	5	solving	solve	VERB
ejpam-4245	301	6	schrodinger	schrodinger	ADJ
ejpam-4245	301	7	equations	equation	NOUN
ejpam-4245	301	8	using	use	VERB
ejpam-4245	301	9	adomian	adomian	NOUN
ejpam-4245	301	10	polynomials	polynomial	NOUN
ejpam-4245	301	11	.	.	PUNCT
ejpam-4245	302	1	journal	journal	NOUN
ejpam-4245	302	2	of	of	ADP
ejpam-4245	302	3	the	the	DET
ejpam-4245	302	4	nigerian	nigerian	PROPN
ejpam-4245	302	5	association	association	PROPN
ejpam-4245	302	6	of	of	ADP
ejpam-4245	302	7	mathematical	mathematical	ADJ
ejpam-4245	302	8	physics	physics	NOUN
ejpam-4245	302	9	,	,	PUNCT
ejpam-4245	302	10	vol	vol	NOUN
ejpam-4245	302	11	.	.	PROPN
ejpam-4245	302	12	40	40	NUM
ejpam-4245	302	13	,	,	PUNCT
ejpam-4245	302	14	pp	pp	ADV
ejpam-4245	302	15	11	11	NUM
ejpam-4245	302	16	-	-	SYM
ejpam-4245	302	17	14	14	NUM
ejpam-4245	302	18	.	.	PUNCT
ejpam-4245	303	1	[	[	X
ejpam-4245	303	2	15	15	NUM
ejpam-4245	303	3	]	]	SYM
ejpam-4245	303	4	tsetimi	tsetimi	PROPN
ejpam-4245	303	5	,	,	PUNCT
ejpam-4245	303	6	j.	j.	PROPN
ejpam-4245	303	7	and	and	CCONJ
ejpam-4245	303	8	mamadu	mamadu	ADJ
ejpam-4245	303	9	,	,	PUNCT
ejpam-4245	303	10	e.	e.	PROPN
ejpam-4245	303	11	j.	j.	PROPN
ejpam-4245	303	12	(	(	PUNCT
ejpam-4245	303	13	2017	2017	NUM
ejpam-4245	303	14	)	)	PUNCT
ejpam-4245	303	15	.	.	PUNCT
ejpam-4245	304	1	solutions	solution	NOUN
ejpam-4245	304	2	of	of	ADP
ejpam-4245	304	3	the	the	DET
ejpam-4245	304	4	fifth	fifth	ADJ
ejpam-4245	304	5	order	order	NOUN
ejpam-4245	304	6	boundary	boundary	ADJ
ejpam-4245	304	7	value	value	NOUN
ejpam-4245	304	8	problem	problem	NOUN
ejpam-4245	304	9	using	use	VERB
ejpam-4245	304	10	variational	variational	ADJ
ejpam-4245	304	11	iteration	iteration	NOUN
ejpam-4245	304	12	decomposition	decomposition	NOUN
ejpam-4245	304	13	method	method	NOUN
ejpam-4245	304	14	and	and	CCONJ
ejpam-4245	304	15	variational	variational	ADJ
ejpam-4245	304	16	iteration	iteration	NOUN
ejpam-4245	304	17	method	method	NOUN
ejpam-4245	304	18	with	with	ADP
ejpam-4245	304	19	chebychev	chebychev	NOUN
ejpam-4245	304	20	polynomials	polynomial	NOUN
ejpam-4245	304	21	.	.	PUNCT
ejpam-4245	305	1	journal	journal	NOUN
ejpam-4245	305	2	of	of	ADP
ejpam-4245	305	3	the	the	DET
ejpam-4245	305	4	nigerian	nigerian	PROPN
ejpam-4245	305	5	association	association	PROPN
ejpam-4245	305	6	of	of	ADP
ejpam-4245	305	7	mathematical	mathematical	ADJ
ejpam-4245	305	8	physics	physics	NOUN
ejpam-4245	305	9	,	,	PUNCT
ejpam-4245	305	10	vol	vol	NOUN
ejpam-4245	305	11	.	.	PROPN
ejpam-4245	305	12	40	40	NUM
ejpam-4245	305	13	,	,	PUNCT
ejpam-4245	305	14	pp	pp	ADV
ejpam-4245	305	15	39	39	NUM
ejpam-4245	305	16	-	-	SYM
ejpam-4245	305	17	42	42	NUM
ejpam-4245	305	18	.	.	PUNCT
ejpam-4245	306	1	[	[	X
ejpam-4245	306	2	16	16	NUM
ejpam-4245	306	3	]	]	X
ejpam-4245	306	4	abbasbandy	abbasbandy	PROPN
ejpam-4245	306	5	,	,	PUNCT
ejpam-4245	306	6	s.	s.	PROPN
ejpam-4245	306	7	and	and	CCONJ
ejpam-4245	306	8	shivanian	shivanian	PROPN
ejpam-4245	306	9	,	,	PUNCT
ejpam-4245	306	10	e.	e.	PROPN
ejpam-4245	306	11	(	(	PUNCT
ejpam-4245	306	12	2008).application	2008).application	NUM
ejpam-4245	306	13	of	of	ADP
ejpam-4245	306	14	the	the	DET
ejpam-4245	306	15	variational	variational	ADJ
ejpam-4245	306	16	iteration	iteration	NOUN
ejpam-4245	306	17	method	method	NOUN
ejpam-4245	306	18	for	for	ADP
ejpam-4245	306	19	system	system	NOUN
ejpam-4245	306	20	of	of	ADP
ejpam-4245	306	21	nonlinear	nonlinear	PROPN
ejpam-4245	306	22	volterra	volterra	PROPN
ejpam-4245	306	23	’s	’s	PART
ejpam-4245	306	24	integro	integro	ADJ
ejpam-4245	306	25	-	-	PUNCT
ejpam-4245	306	26	differential	differential	NOUN
ejpam-4245	306	27	equations	equation	NOUN
ejpam-4245	306	28	.	.	PUNCT
ejpam-4245	307	1	mathematics	mathematic	NOUN
ejpam-4245	307	2	and	and	CCONJ
ejpam-4245	307	3	computational	computational	ADJ
ejpam-4245	307	4	applications	application	NOUN
ejpam-4245	307	5	,	,	PUNCT
ejpam-4245	307	6	14(2):147	14(2):147	NUM
ejpam-4245	307	7	-	-	SYM
ejpam-4245	307	8	158	158	NUM
ejpam-4245	307	9	.	.	PUNCT
ejpam-4245	308	1	[	[	X
ejpam-4245	308	2	17	17	NUM
ejpam-4245	308	3	]	]	SYM
ejpam-4245	308	4	tsetimi	tsetimi	PROPN
ejpam-4245	308	5	,	,	PUNCT
ejpam-4245	308	6	j.	j.	PROPN
ejpam-4245	308	7	and	and	CCONJ
ejpam-4245	308	8	mamadu	mamadu	ADJ
ejpam-4245	308	9	,	,	PUNCT
ejpam-4245	308	10	e.	e.	PROPN
ejpam-4245	308	11	j.	j.	PROPN
ejpam-4245	308	12	(	(	PUNCT
ejpam-4245	308	13	2021	2021	NUM
ejpam-4245	308	14	)	)	PUNCT
ejpam-4245	308	15	.	.	PUNCT
ejpam-4245	309	1	a	a	DET
ejpam-4245	309	2	new	new	ADJ
ejpam-4245	309	3	numerical	numerical	ADJ
ejpam-4245	309	4	approach	approach	NOUN
ejpam-4245	309	5	for	for	ADP
ejpam-4245	309	6	solution	solution	NOUN
ejpam-4245	309	7	to	to	PART
ejpam-4245	309	8	cauchy	cauchy	VERB
ejpam-4245	309	9	partial	partial	ADJ
ejpam-4245	309	10	differential	differential	NOUN
ejpam-4245	309	11	equation	equation	NOUN
ejpam-4245	309	12	using	use	VERB
ejpam-4245	309	13	mamadu	mamadu	ADJ
ejpam-4245	309	14	-	-	PUNCT
ejpam-4245	309	15	njoseh	njoseh	NOUN
ejpam-4245	309	16	polynomials	polynomial	NOUN
ejpam-4245	309	17	.	.	PUNCT
ejpam-4245	310	1	ciencia	ciencia	PROPN
ejpam-4245	310	2	e	e	PROPN
ejpam-4245	310	3	technica	technica	PROPN
ejpam-4245	310	4	vitivinicola	vitivinicola	PROPN
ejpam-4245	310	5	.	.	PUNCT
ejpam-4245	311	1	vol	vol	NOUN
ejpam-4245	311	2	.	.	PUNCT
ejpam-4245	312	1	36(2	36(2	NUM
ejpam-4245	312	2	)	)	PUNCT
ejpam-4245	312	3	.	.	PUNCT
ejpam-4245	313	1	pp	pp	ADJ
ejpam-4245	313	2	.	.	PUNCT
ejpam-4245	314	1	1	1	NUM
ejpam-4245	314	2	-	-	SYM
ejpam-4245	314	3	8	8	NUM
ejpam-4245	314	4	.	.	PUNCT