id	sid	tid	token	lemma	pos
ap-3033	1	1	acta	acta	PROPN
ap-3033	1	2	polytechnica	polytechnica	PROPN
ap-3033	1	3	doi:10.14311	doi:10.14311	PROPN
ap-3033	1	4	/	/	SYM
ap-3033	1	5	ap.2016.56.0099	ap.2016.56.0099	PROPN
ap-3033	1	6	acta	acta	PROPN
ap-3033	1	7	polytechnica	polytechnica	PROPN
ap-3033	1	8	56(2):99–105	56(2):99–105	NUM
ap-3033	1	9	,	,	PUNCT
ap-3033	1	10	2016	2016	NUM
ap-3033	1	11	©	©	PROPN
ap-3033	1	12	czech	czech	PROPN
ap-3033	1	13	technical	technical	PROPN
ap-3033	1	14	university	university	PROPN
ap-3033	1	15	in	in	ADP
ap-3033	1	16	prague	prague	PROPN
ap-3033	1	17	,	,	PUNCT
ap-3033	1	18	2016	2016	NUM
ap-3033	1	19	available	available	ADJ
ap-3033	1	20	online	online	ADV
ap-3033	1	21	at	at	ADP
ap-3033	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-3033	1	23	integral	integral	ADJ
ap-3033	1	24	methods	method	NOUN
ap-3033	1	25	for	for	ADP
ap-3033	1	26	describing	describe	VERB
ap-3033	1	27	pulsatile	pulsatile	NOUN
ap-3033	1	28	flow	flow	NOUN
ap-3033	1	29	david	david	PROPN
ap-3033	1	30	hromádkaa,∗	hromádkaa,∗	PROPN
ap-3033	1	31	,	,	PUNCT
ap-3033	1	32	hynek	hynek	PROPN
ap-3033	1	33	chlupa	chlupa	NOUN
ap-3033	1	34	,	,	PUNCT
ap-3033	1	35	rudolf	rudolf	PROPN
ap-3033	1	36	žitnýb	žitnýb	PROPN
ap-3033	1	37	a	a	DET
ap-3033	1	38	department	department	NOUN
ap-3033	1	39	of	of	ADP
ap-3033	1	40	mechanics	mechanic	NOUN
ap-3033	1	41	biomechanics	biomechanic	NOUN
ap-3033	1	42	and	and	CCONJ
ap-3033	1	43	mechatronics	mechatronic	NOUN
ap-3033	1	44	,	,	PUNCT
ap-3033	1	45	czech	czech	PROPN
ap-3033	1	46	technical	technical	PROPN
ap-3033	1	47	university	university	PROPN
ap-3033	1	48	in	in	ADP
ap-3033	1	49	prague	prague	PROPN
ap-3033	1	50	,	,	PUNCT
ap-3033	1	51	technická	technická	NOUN
ap-3033	1	52	4	4	NUM
ap-3033	1	53	,	,	PUNCT
ap-3033	1	54	166	166	NUM
ap-3033	1	55	07	07	NUM
ap-3033	1	56	praha	praha	PROPN
ap-3033	1	57	6	6	NUM
ap-3033	1	58	,	,	PUNCT
ap-3033	1	59	czech	czech	PROPN
ap-3033	1	60	republic	republic	PROPN
ap-3033	1	61	b	b	PROPN
ap-3033	1	62	department	department	PROPN
ap-3033	1	63	of	of	ADP
ap-3033	1	64	process	process	NOUN
ap-3033	1	65	engineering	engineering	NOUN
ap-3033	1	66	,	,	PUNCT
ap-3033	1	67	czech	czech	PROPN
ap-3033	1	68	technical	technical	PROPN
ap-3033	1	69	university	university	PROPN
ap-3033	1	70	in	in	ADP
ap-3033	1	71	prague	prague	PROPN
ap-3033	1	72	technická	technická	PROPN
ap-3033	1	73	4	4	NUM
ap-3033	1	74	,	,	PUNCT
ap-3033	1	75	166	166	NUM
ap-3033	1	76	07	07	NUM
ap-3033	1	77	praha	praha	PROPN
ap-3033	1	78	6	6	NUM
ap-3033	1	79	,	,	PUNCT
ap-3033	1	80	czech	czech	PROPN
ap-3033	1	81	republic	republic	NOUN
ap-3033	1	82	∗	∗	NOUN
ap-3033	1	83	corresponding	correspond	VERB
ap-3033	1	84	author	author	NOUN
ap-3033	1	85	:	:	PUNCT
ap-3033	1	86	david.hromadka@fs.cvut.cz	david.hromadka@fs.cvut.cz	NOUN
ap-3033	1	87	abstract	abstract	NOUN
ap-3033	1	88	.	.	PUNCT
ap-3033	2	1	this	this	DET
ap-3033	2	2	paper	paper	NOUN
ap-3033	2	3	presents	present	VERB
ap-3033	2	4	an	an	DET
ap-3033	2	5	approximate	approximate	ADJ
ap-3033	2	6	solution	solution	NOUN
ap-3033	2	7	of	of	ADP
ap-3033	2	8	the	the	DET
ap-3033	2	9	pulsatile	pulsatile	NOUN
ap-3033	2	10	flow	flow	NOUN
ap-3033	2	11	of	of	ADP
ap-3033	2	12	a	a	DET
ap-3033	2	13	newtonian	newtonian	ADJ
ap-3033	2	14	fluid	fluid	NOUN
ap-3033	2	15	in	in	ADP
ap-3033	2	16	the	the	DET
ap-3033	2	17	laminar	laminar	ADJ
ap-3033	2	18	flow	flow	NOUN
ap-3033	2	19	regime	regime	NOUN
ap-3033	2	20	in	in	ADP
ap-3033	2	21	a	a	DET
ap-3033	2	22	rigid	rigid	ADJ
ap-3033	2	23	tube	tube	NOUN
ap-3033	2	24	of	of	ADP
ap-3033	2	25	constant	constant	ADJ
ap-3033	2	26	diameter	diameter	NOUN
ap-3033	2	27	.	.	PUNCT
ap-3033	3	1	the	the	DET
ap-3033	3	2	model	model	NOUN
ap-3033	3	3	is	be	AUX
ap-3033	3	4	represented	represent	VERB
ap-3033	3	5	by	by	ADP
ap-3033	3	6	two	two	NUM
ap-3033	3	7	ordinary	ordinary	ADJ
ap-3033	3	8	differential	differential	ADJ
ap-3033	3	9	equations	equation	NOUN
ap-3033	3	10	.	.	PUNCT
ap-3033	4	1	the	the	DET
ap-3033	4	2	first	first	ADJ
ap-3033	4	3	equation	equation	NOUN
ap-3033	4	4	describes	describe	VERB
ap-3033	4	5	the	the	DET
ap-3033	4	6	time	time	NOUN
ap-3033	4	7	evolution	evolution	NOUN
ap-3033	4	8	of	of	ADP
ap-3033	4	9	the	the	DET
ap-3033	4	10	total	total	ADJ
ap-3033	4	11	flow	flow	NOUN
ap-3033	4	12	rate	rate	NOUN
ap-3033	4	13	,	,	PUNCT
ap-3033	4	14	and	and	CCONJ
ap-3033	4	15	the	the	DET
ap-3033	4	16	second	second	ADJ
ap-3033	4	17	equation	equation	NOUN
ap-3033	4	18	characterizes	characterize	VERB
ap-3033	4	19	the	the	DET
ap-3033	4	20	reverse	reverse	ADJ
ap-3033	4	21	flow	flow	NOUN
ap-3033	4	22	near	near	ADP
ap-3033	4	23	the	the	DET
ap-3033	4	24	wall	wall	NOUN
ap-3033	4	25	.	.	PUNCT
ap-3033	5	1	these	these	DET
ap-3033	5	2	equations	equation	NOUN
ap-3033	5	3	are	be	AUX
ap-3033	5	4	derived	derive	VERB
ap-3033	5	5	from	from	ADP
ap-3033	5	6	the	the	DET
ap-3033	5	7	momentum	momentum	NOUN
ap-3033	5	8	balance	balance	NOUN
ap-3033	5	9	equation	equation	NOUN
ap-3033	5	10	and	and	CCONJ
ap-3033	5	11	from	from	ADP
ap-3033	5	12	the	the	DET
ap-3033	5	13	kinetic	kinetic	ADJ
ap-3033	5	14	energy	energy	NOUN
ap-3033	5	15	equation	equation	NOUN
ap-3033	5	16	,	,	PUNCT
ap-3033	5	17	respectively	respectively	ADV
ap-3033	5	18	.	.	PUNCT
ap-3033	6	1	the	the	DET
ap-3033	6	2	accuracy	accuracy	NOUN
ap-3033	6	3	of	of	ADP
ap-3033	6	4	the	the	DET
ap-3033	6	5	derived	derive	VERB
ap-3033	6	6	equations	equation	NOUN
ap-3033	6	7	is	be	AUX
ap-3033	6	8	compared	compare	VERB
ap-3033	6	9	with	with	ADP
ap-3033	6	10	a	a	DET
ap-3033	6	11	solution	solution	NOUN
ap-3033	6	12	in	in	ADP
ap-3033	6	13	which	which	PRON
ap-3033	6	14	the	the	DET
ap-3033	6	15	finite	finite	ADJ
ap-3033	6	16	difference	difference	NOUN
ap-3033	6	17	method	method	NOUN
ap-3033	6	18	is	be	AUX
ap-3033	6	19	applied	apply	VERB
ap-3033	6	20	to	to	ADP
ap-3033	6	21	a	a	DET
ap-3033	6	22	partial	partial	ADJ
ap-3033	6	23	differential	differential	NOUN
ap-3033	6	24	equation	equation	NOUN
ap-3033	6	25	.	.	PUNCT
ap-3033	7	1	keywords	keyword	NOUN
ap-3033	7	2	:	:	PUNCT
ap-3033	7	3	pulsatile	pulsatile	NOUN
ap-3033	7	4	flow	flow	NOUN
ap-3033	7	5	,	,	PUNCT
ap-3033	7	6	integral	integral	ADJ
ap-3033	7	7	energy	energy	NOUN
ap-3033	7	8	,	,	PUNCT
ap-3033	7	9	integral	integral	ADJ
ap-3033	7	10	momentum	momentum	NOUN
ap-3033	7	11	,	,	PUNCT
ap-3033	7	12	rigid	rigid	ADJ
ap-3033	7	13	pipe	pipe	NOUN
ap-3033	7	14	.	.	PUNCT
ap-3033	8	1	1	1	X
ap-3033	8	2	.	.	X
ap-3033	8	3	introduction	introduction	NOUN
ap-3033	8	4	pulsatile	pulsatile	NOUN
ap-3033	8	5	flow	flow	NOUN
ap-3033	8	6	is	be	AUX
ap-3033	8	7	a	a	DET
ap-3033	8	8	time	time	NOUN
ap-3033	8	9	-	-	PUNCT
ap-3033	8	10	dependent	dependent	ADJ
ap-3033	8	11	flow	flow	NOUN
ap-3033	8	12	that	that	PRON
ap-3033	8	13	consists	consist	VERB
ap-3033	8	14	of	of	ADP
ap-3033	8	15	a	a	DET
ap-3033	8	16	constant	constant	ADJ
ap-3033	8	17	part	part	NOUN
ap-3033	8	18	(	(	PUNCT
ap-3033	8	19	hagen	hagen	NOUN
ap-3033	8	20	-	-	PUNCT
ap-3033	8	21	poiseuille	poiseuille	NOUN
ap-3033	8	22	flow	flow	NOUN
ap-3033	8	23	,	,	PUNCT
ap-3033	8	24	with	with	ADP
ap-3033	8	25	a	a	DET
ap-3033	8	26	parabolic	parabolic	ADJ
ap-3033	8	27	velocity	velocity	NOUN
ap-3033	8	28	profile	profile	NOUN
ap-3033	8	29	,	,	PUNCT
ap-3033	8	30	fully	fully	ADV
ap-3033	8	31	controlled	control	VERB
ap-3033	8	32	by	by	ADP
ap-3033	8	33	the	the	DET
ap-3033	8	34	viscous	viscous	ADJ
ap-3033	8	35	forces	force	NOUN
ap-3033	8	36	)	)	PUNCT
ap-3033	8	37	and	and	CCONJ
ap-3033	8	38	an	an	DET
ap-3033	8	39	oscillatory	oscillatory	ADJ
ap-3033	8	40	part	part	NOUN
ap-3033	8	41	,	,	PUNCT
ap-3033	8	42	which	which	PRON
ap-3033	8	43	is	be	AUX
ap-3033	8	44	controlled	control	VERB
ap-3033	8	45	by	by	ADP
ap-3033	8	46	the	the	DET
ap-3033	8	47	viscous	viscous	ADJ
ap-3033	8	48	forces	force	NOUN
ap-3033	8	49	at	at	ADP
ap-3033	8	50	the	the	DET
ap-3033	8	51	wall	wall	NOUN
ap-3033	8	52	and	and	CCONJ
ap-3033	8	53	by	by	ADP
ap-3033	8	54	the	the	DET
ap-3033	8	55	inertial	inertial	ADJ
ap-3033	8	56	forces	force	NOUN
ap-3033	8	57	at	at	ADP
ap-3033	8	58	the	the	DET
ap-3033	8	59	core	core	NOUN
ap-3033	8	60	[	[	X
ap-3033	8	61	1	1	NUM
ap-3033	8	62	]	]	PUNCT
ap-3033	8	63	.	.	PUNCT
ap-3033	9	1	pilot	pilot	NOUN
ap-3033	9	2	studies	study	NOUN
ap-3033	9	3	of	of	ADP
ap-3033	9	4	time	time	NOUN
ap-3033	9	5	-	-	PUNCT
ap-3033	9	6	dependent	dependent	ADJ
ap-3033	9	7	laminar	laminar	ADJ
ap-3033	9	8	flow	flow	NOUN
ap-3033	9	9	were	be	AUX
ap-3033	9	10	reported	report	VERB
ap-3033	9	11	by	by	ADP
ap-3033	9	12	[	[	X
ap-3033	9	13	2	2	NUM
ap-3033	9	14	]	]	PUNCT
ap-3033	9	15	,	,	PUNCT
ap-3033	9	16	and	and	CCONJ
ap-3033	9	17	were	be	AUX
ap-3033	9	18	followed	follow	VERB
ap-3033	9	19	by	by	ADP
ap-3033	9	20	[	[	X
ap-3033	9	21	3	3	NUM
ap-3033	9	22	]	]	PUNCT
ap-3033	9	23	and	and	CCONJ
ap-3033	9	24	[	[	X
ap-3033	9	25	4	4	NUM
ap-3033	9	26	]	]	PUNCT
ap-3033	9	27	.	.	PUNCT
ap-3033	10	1	sexl	sexl	PROPN
ap-3033	11	1	[	[	X
ap-3033	11	2	2	2	NUM
ap-3033	11	3	]	]	PUNCT
ap-3033	11	4	developed	develop	VERB
ap-3033	11	5	an	an	DET
ap-3033	11	6	analytical	analytical	ADJ
ap-3033	11	7	solution	solution	NOUN
ap-3033	11	8	to	to	ADP
ap-3033	11	9	the	the	DET
ap-3033	11	10	momentum	momentum	NOUN
ap-3033	11	11	equation	equation	NOUN
ap-3033	11	12	of	of	ADP
ap-3033	11	13	newtonian	newtonian	ADJ
ap-3033	11	14	fluid	fluid	ADJ
ap-3033	11	15	flow	flow	NOUN
ap-3033	11	16	subjected	subject	VERB
ap-3033	11	17	to	to	ADP
ap-3033	11	18	a	a	DET
ap-3033	11	19	pressure	pressure	NOUN
ap-3033	11	20	gradient	gradient	NOUN
ap-3033	11	21	dp	dp	PROPN
ap-3033	11	22	/	/	SYM
ap-3033	11	23	dx	dx	PROPN
ap-3033	11	24	=	=	SYM
ap-3033	11	25	ceiωt	ceiωt	PROPN
ap-3033	11	26	.	.	PUNCT
ap-3033	12	1	szymanski	szymanski	VERB
ap-3033	13	1	[	[	X
ap-3033	13	2	3	3	X
ap-3033	13	3	]	]	PUNCT
ap-3033	13	4	employed	employ	VERB
ap-3033	13	5	a	a	DET
ap-3033	13	6	similar	similar	ADJ
ap-3033	13	7	technique	technique	NOUN
ap-3033	13	8	,	,	PUNCT
ap-3033	13	9	and	and	CCONJ
ap-3033	13	10	obtained	obtain	VERB
ap-3033	13	11	an	an	DET
ap-3033	13	12	analytical	analytical	ADJ
ap-3033	13	13	solution	solution	NOUN
ap-3033	13	14	to	to	ADP
ap-3033	13	15	the	the	DET
ap-3033	13	16	momentum	momentum	NOUN
ap-3033	13	17	equation	equation	NOUN
ap-3033	13	18	for	for	ADP
ap-3033	13	19	the	the	DET
ap-3033	13	20	flow	flow	NOUN
ap-3033	13	21	driven	drive	VERB
ap-3033	13	22	by	by	ADP
ap-3033	13	23	a	a	DET
ap-3033	13	24	pressure	pressure	NOUN
ap-3033	13	25	gradient	gradient	NOUN
ap-3033	13	26	dp	dp	PROPN
ap-3033	13	27	/	/	SYM
ap-3033	13	28	dx	dx	PROPN
ap-3033	13	29	=	=	SYM
ap-3033	13	30	0	0	NUM
ap-3033	13	31	for	for	ADP
ap-3033	13	32	t	t	PROPN
ap-3033	13	33	≤	≤	NUM
ap-3033	13	34	0	0	NUM
ap-3033	14	1	and	and	CCONJ
ap-3033	14	2	dp	dp	PROPN
ap-3033	14	3	/	/	SYM
ap-3033	14	4	dx	dx	PROPN
ap-3033	14	5	=	=	SYM
ap-3033	14	6	c	c	PROPN
ap-3033	14	7	for	for	ADP
ap-3033	14	8	t	t	PROPN
ap-3033	14	9	>	>	X
ap-3033	14	10	0	0	PROPN
ap-3033	14	11	,	,	PUNCT
ap-3033	14	12	where	where	SCONJ
ap-3033	14	13	c	c	PROPN
ap-3033	14	14	was	be	AUX
ap-3033	14	15	constant	constant	ADJ
ap-3033	14	16	.	.	PUNCT
ap-3033	15	1	an	an	DET
ap-3033	15	2	extended	extended	ADJ
ap-3033	15	3	review	review	NOUN
ap-3033	15	4	of	of	ADP
ap-3033	15	5	the	the	DET
ap-3033	15	6	literature	literature	NOUN
ap-3033	15	7	dealing	deal	VERB
ap-3033	15	8	with	with	ADP
ap-3033	15	9	laminar	laminar	ADJ
ap-3033	15	10	pulsatile	pulsatile	NOUN
ap-3033	15	11	flow	flow	NOUN
ap-3033	15	12	,	,	PUNCT
ap-3033	15	13	which	which	PRON
ap-3033	15	14	presents	present	VERB
ap-3033	15	15	the	the	DET
ap-3033	15	16	current	current	ADJ
ap-3033	15	17	state	state	NOUN
ap-3033	15	18	of	of	ADP
ap-3033	15	19	theoretical	theoretical	ADJ
ap-3033	15	20	and	and	CCONJ
ap-3033	15	21	experimental	experimental	ADJ
ap-3033	15	22	knowledge	knowledge	NOUN
ap-3033	15	23	was	be	AUX
ap-3033	15	24	thoroughly	thoroughly	ADV
ap-3033	15	25	drafted	draft	VERB
ap-3033	15	26	by	by	ADP
ap-3033	15	27	[	[	X
ap-3033	15	28	5	5	NUM
ap-3033	15	29	]	]	PUNCT
ap-3033	15	30	and	and	CCONJ
ap-3033	15	31	supplemented	supplement	VERB
ap-3033	15	32	in	in	ADP
ap-3033	15	33	[	[	X
ap-3033	15	34	6	6	NUM
ap-3033	15	35	]	]	PUNCT
ap-3033	15	36	.	.	PUNCT
ap-3033	16	1	the	the	DET
ap-3033	16	2	most	most	ADV
ap-3033	16	3	cited	cite	VERB
ap-3033	16	4	work	work	NOUN
ap-3033	16	5	on	on	ADP
ap-3033	16	6	linearization	linearization	NOUN
ap-3033	16	7	of	of	ADP
ap-3033	16	8	the	the	DET
ap-3033	16	9	basic	basic	ADJ
ap-3033	16	10	equations	equation	NOUN
ap-3033	16	11	[	[	X
ap-3033	16	12	7	7	X
ap-3033	16	13	]	]	PUNCT
ap-3033	16	14	was	be	AUX
ap-3033	16	15	carried	carry	VERB
ap-3033	16	16	out	out	ADP
ap-3033	16	17	by	by	ADP
ap-3033	16	18	womersley	womersley	NOUN
ap-3033	16	19	in	in	ADP
ap-3033	16	20	the	the	DET
ap-3033	16	21	late	late	ADJ
ap-3033	16	22	1950	1950	NUM
ap-3033	16	23	’s	’s	NOUN
ap-3033	16	24	,	,	PUNCT
ap-3033	16	25	and	and	CCONJ
ap-3033	16	26	was	be	AUX
ap-3033	16	27	published	publish	VERB
ap-3033	16	28	in	in	ADP
ap-3033	16	29	a	a	DET
ap-3033	16	30	series	series	NOUN
ap-3033	16	31	of	of	ADP
ap-3033	16	32	papers	paper	NOUN
ap-3033	16	33	[	[	X
ap-3033	16	34	4	4	NUM
ap-3033	16	35	]	]	PUNCT
ap-3033	16	36	,	,	PUNCT
ap-3033	17	1	[	[	X
ap-3033	17	2	8	8	NUM
ap-3033	17	3	]	]	PUNCT
ap-3033	17	4	and	and	CCONJ
ap-3033	17	5	[	[	X
ap-3033	17	6	9	9	NUM
ap-3033	17	7	]	]	PUNCT
ap-3033	17	8	,	,	PUNCT
ap-3033	17	9	[	[	X
ap-3033	17	10	10	10	NUM
ap-3033	17	11	]	]	PUNCT
ap-3033	17	12	.	.	PUNCT
ap-3033	18	1	most	most	ADJ
ap-3033	18	2	of	of	ADP
ap-3033	18	3	these	these	DET
ap-3033	18	4	materials	material	NOUN
ap-3033	18	5	appear	appear	VERB
ap-3033	18	6	in	in	ADP
ap-3033	18	7	a	a	DET
ap-3033	18	8	comprehensive	comprehensive	ADJ
ap-3033	18	9	report	report	NOUN
ap-3033	18	10	[	[	X
ap-3033	18	11	11	11	NUM
ap-3033	18	12	]	]	PUNCT
ap-3033	18	13	.	.	PUNCT
ap-3033	19	1	another	another	DET
ap-3033	19	2	option	option	NOUN
ap-3033	19	3	for	for	ADP
ap-3033	19	4	solving	solve	VERB
ap-3033	19	5	non	non	ADJ
ap-3033	19	6	-	-	ADJ
ap-3033	19	7	stationary	stationary	ADJ
ap-3033	19	8	flow	flow	NOUN
ap-3033	19	9	is	be	AUX
ap-3033	19	10	to	to	PART
ap-3033	19	11	employ	employ	VERB
ap-3033	19	12	the	the	DET
ap-3033	19	13	integral	integral	ADJ
ap-3033	19	14	momentum	momentum	NOUN
ap-3033	19	15	and	and	CCONJ
ap-3033	19	16	integral	integral	ADJ
ap-3033	19	17	energy	energy	NOUN
ap-3033	19	18	method	method	NOUN
ap-3033	19	19	,	,	PUNCT
ap-3033	19	20	which	which	PRON
ap-3033	19	21	leads	lead	VERB
ap-3033	19	22	to	to	ADP
ap-3033	19	23	a	a	DET
ap-3033	19	24	different	different	ADJ
ap-3033	19	25	form	form	NOUN
ap-3033	19	26	of	of	ADP
ap-3033	19	27	equations	equation	NOUN
ap-3033	19	28	.	.	PUNCT
ap-3033	20	1	in	in	ADP
ap-3033	20	2	this	this	DET
ap-3033	20	3	method	method	NOUN
ap-3033	20	4	,	,	PUNCT
ap-3033	20	5	it	it	PRON
ap-3033	20	6	is	be	AUX
ap-3033	20	7	not	not	PART
ap-3033	20	8	the	the	DET
ap-3033	20	9	navier	navier	NOUN
ap-3033	20	10	-	-	PUNCT
ap-3033	20	11	stokes	stoke	NOUN
ap-3033	20	12	equations	equation	NOUN
ap-3033	20	13	themselves	themselves	PRON
ap-3033	20	14	that	that	PRON
ap-3033	20	15	are	be	AUX
ap-3033	20	16	solved	solve	VERB
ap-3033	20	17	,	,	PUNCT
ap-3033	20	18	but	but	CCONJ
ap-3033	20	19	the	the	DET
ap-3033	20	20	integrated	integrate	VERB
ap-3033	20	21	form	form	NOUN
ap-3033	20	22	of	of	ADP
ap-3033	20	23	the	the	DET
ap-3033	20	24	stream	stream	NOUN
ap-3033	20	25	wise	wise	ADJ
ap-3033	20	26	momentum	momentum	NOUN
ap-3033	20	27	or	or	CCONJ
ap-3033	20	28	energy	energy	NOUN
ap-3033	20	29	equation	equation	NOUN
ap-3033	20	30	.	.	PUNCT
ap-3033	21	1	the	the	DET
ap-3033	21	2	form	form	NOUN
ap-3033	21	3	of	of	ADP
ap-3033	21	4	the	the	DET
ap-3033	21	5	velocity	velocity	NOUN
ap-3033	21	6	profiles	profile	NOUN
ap-3033	21	7	is	be	AUX
ap-3033	21	8	assumed	assume	VERB
ap-3033	21	9	a	a	DET
ap-3033	21	10	priori	priori	NOUN
ap-3033	21	11	with	with	ADP
ap-3033	21	12	unknown	unknown	ADJ
ap-3033	21	13	coefficients	coefficient	NOUN
ap-3033	21	14	characterizing	characterize	VERB
ap-3033	21	15	the	the	DET
ap-3033	21	16	profile	profile	NOUN
ap-3033	21	17	[	[	X
ap-3033	21	18	12	12	NUM
ap-3033	21	19	]	]	PUNCT
ap-3033	21	20	.	.	PUNCT
ap-3033	22	1	a	a	DET
ap-3033	22	2	list	list	NOUN
ap-3033	22	3	of	of	ADP
ap-3033	22	4	integral	integral	ADJ
ap-3033	22	5	methods	method	NOUN
ap-3033	22	6	that	that	PRON
ap-3033	22	7	are	be	AUX
ap-3033	22	8	used	use	VERB
ap-3033	22	9	,	,	PUNCT
ap-3033	22	10	variants	variant	NOUN
ap-3033	22	11	of	of	ADP
ap-3033	22	12	velocity	velocity	NOUN
ap-3033	22	13	profiles	profile	NOUN
ap-3033	22	14	,	,	PUNCT
ap-3033	22	15	the	the	DET
ap-3033	22	16	ability	ability	NOUN
ap-3033	22	17	to	to	PART
ap-3033	22	18	capture	capture	VERB
ap-3033	22	19	the	the	DET
ap-3033	22	20	reverse	reverse	ADJ
ap-3033	22	21	flow	flow	NOUN
ap-3033	22	22	and	and	CCONJ
ap-3033	22	23	specific	specific	ADJ
ap-3033	22	24	features	feature	NOUN
ap-3033	22	25	of	of	ADP
ap-3033	22	26	the	the	DET
ap-3033	22	27	method	method	NOUN
ap-3033	22	28	are	be	AUX
ap-3033	22	29	presented	present	VERB
ap-3033	22	30	in	in	ADP
ap-3033	22	31	(	(	PUNCT
ap-3033	22	32	tab	tab	NOUN
ap-3033	22	33	.	.	NOUN
ap-3033	22	34	1	1	NUM
ap-3033	22	35	)	)	PUNCT
ap-3033	22	36	.	.	PUNCT
ap-3033	23	1	the	the	DET
ap-3033	23	2	methods	method	NOUN
ap-3033	23	3	in	in	ADP
ap-3033	23	4	the	the	DET
ap-3033	23	5	list	list	NOUN
ap-3033	23	6	describe	describe	VERB
ap-3033	23	7	unidirectional	unidirectional	ADJ
ap-3033	23	8	the	the	DET
ap-3033	23	9	pulsatile	pulsatile	NOUN
ap-3033	23	10	flow	flow	NOUN
ap-3033	23	11	and	and	CCONJ
ap-3033	23	12	the	the	DET
ap-3033	23	13	impulsively	impulsively	ADV
ap-3033	23	14	-	-	PUNCT
ap-3033	23	15	initiated	initiate	VERB
ap-3033	23	16	flow	flow	NOUN
ap-3033	23	17	of	of	ADP
ap-3033	23	18	a	a	DET
ap-3033	23	19	newtonian	newtonian	ADJ
ap-3033	23	20	fluid	fluid	NOUN
ap-3033	23	21	within	within	ADP
ap-3033	23	22	a	a	DET
ap-3033	23	23	rigid	rigid	ADJ
ap-3033	23	24	tube	tube	NOUN
ap-3033	23	25	of	of	ADP
ap-3033	23	26	constant	constant	ADJ
ap-3033	23	27	diameter	diameter	NOUN
ap-3033	23	28	,	,	PUNCT
ap-3033	23	29	unless	unless	SCONJ
ap-3033	23	30	otherwise	otherwise	ADV
ap-3033	23	31	stated	state	VERB
ap-3033	23	32	in	in	ADP
ap-3033	23	33	the	the	DET
ap-3033	23	34	column	column	NOUN
ap-3033	23	35	“	"	PUNCT
ap-3033	23	36	specific	specific	ADJ
ap-3033	23	37	”	"	PUNCT
ap-3033	23	38	.	.	PUNCT
ap-3033	24	1	to	to	ADP
ap-3033	24	2	the	the	DET
ap-3033	24	3	best	good	ADJ
ap-3033	24	4	of	of	ADP
ap-3033	24	5	the	the	DET
ap-3033	24	6	author	author	NOUN
ap-3033	24	7	’s	’s	PART
ap-3033	24	8	knowledge	knowledge	NOUN
ap-3033	24	9	,	,	PUNCT
ap-3033	24	10	there	there	PRON
ap-3033	24	11	is	be	VERB
ap-3033	24	12	no	no	DET
ap-3033	24	13	integral	integral	ADJ
ap-3033	24	14	energy	energy	NOUN
ap-3033	24	15	solution	solution	NOUN
ap-3033	24	16	for	for	ADP
ap-3033	24	17	pulsatile	pulsatile	NOUN
ap-3033	24	18	flow	flow	NOUN
ap-3033	24	19	that	that	PRON
ap-3033	24	20	takes	take	VERB
ap-3033	24	21	into	into	ADP
ap-3033	24	22	account	account	NOUN
ap-3033	24	23	the	the	DET
ap-3033	24	24	reverse	reverse	ADJ
ap-3033	24	25	flow	flow	NOUN
ap-3033	24	26	.	.	PUNCT
ap-3033	25	1	only	only	ADV
ap-3033	25	2	some	some	PRON
ap-3033	25	3	of	of	ADP
ap-3033	25	4	the	the	DET
ap-3033	25	5	listed	list	VERB
ap-3033	25	6	methods	method	NOUN
ap-3033	25	7	are	be	AUX
ap-3033	25	8	able	able	ADJ
ap-3033	25	9	to	to	PART
ap-3033	25	10	solve	solve	VERB
ap-3033	25	11	both	both	PRON
ap-3033	25	12	,	,	PUNCT
ap-3033	25	13	the	the	DET
ap-3033	25	14	periodic	periodic	ADJ
ap-3033	25	15	flow	flow	NOUN
ap-3033	25	16	and	and	CCONJ
ap-3033	25	17	the	the	DET
ap-3033	25	18	impulsively	impulsively	ADV
ap-3033	25	19	-	-	PUNCT
ap-3033	25	20	initiated	initiate	VERB
ap-3033	25	21	flows	flow	NOUN
ap-3033	25	22	for	for	ADP
ap-3033	25	23	arbitrary	arbitrary	ADJ
ap-3033	25	24	initial	initial	ADJ
ap-3033	25	25	conditions	condition	NOUN
ap-3033	25	26	(	(	PUNCT
ap-3033	25	27	using	use	VERB
ap-3033	25	28	time	time	NOUN
ap-3033	25	29	marching	marching	NOUN
ap-3033	25	30	algorithms	algorithm	NOUN
ap-3033	25	31	)	)	PUNCT
ap-3033	25	32	.	.	PUNCT
ap-3033	26	1	additionally	additionally	ADV
ap-3033	26	2	,	,	PUNCT
ap-3033	26	3	there	there	PRON
ap-3033	26	4	is	be	VERB
ap-3033	26	5	a	a	DET
ap-3033	26	6	controversy	controversy	NOUN
ap-3033	26	7	over	over	ADP
ap-3033	26	8	the	the	DET
ap-3033	26	9	comparative	comparative	ADJ
ap-3033	26	10	accuracy	accuracy	NOUN
ap-3033	26	11	of	of	ADP
ap-3033	26	12	the	the	DET
ap-3033	26	13	energy	energy	NOUN
ap-3033	26	14	method	method	NOUN
ap-3033	26	15	and	and	CCONJ
ap-3033	26	16	momentum	momentum	NOUN
ap-3033	26	17	integral	integral	ADJ
ap-3033	26	18	methods	method	NOUN
ap-3033	26	19	;	;	PUNCT
ap-3033	26	20	the	the	DET
ap-3033	26	21	results	result	NOUN
ap-3033	26	22	depend	depend	VERB
ap-3033	26	23	on	on	ADP
ap-3033	26	24	the	the	DET
ap-3033	26	25	specific	specific	ADJ
ap-3033	26	26	test	test	NOUN
ap-3033	26	27	and	and	CCONJ
ap-3033	26	28	on	on	ADP
ap-3033	26	29	the	the	DET
ap-3033	26	30	selected	select	VERB
ap-3033	26	31	accuracy	accuracy	NOUN
ap-3033	26	32	criterion	criterion	NOUN
ap-3033	26	33	.	.	PUNCT
ap-3033	27	1	for	for	ADP
ap-3033	27	2	example	example	NOUN
ap-3033	27	3	,	,	PUNCT
ap-3033	27	4	elkouh	elkouh	NOUN
ap-3033	28	1	[	[	X
ap-3033	28	2	21	21	NUM
ap-3033	28	3	]	]	PUNCT
ap-3033	28	4	tested	test	VERB
ap-3033	28	5	his	his	PRON
ap-3033	28	6	method	method	NOUN
ap-3033	28	7	in	in	ADP
ap-3033	28	8	the	the	DET
ap-3033	28	9	special	special	ADJ
ap-3033	28	10	case	case	NOUN
ap-3033	28	11	of	of	ADP
ap-3033	28	12	a	a	DET
ap-3033	28	13	sinusoidally	sinusoidally	ADV
ap-3033	28	14	oscillating	oscillate	VERB
ap-3033	28	15	newtonian	newtonian	ADJ
ap-3033	28	16	fluid	fluid	NOUN
ap-3033	28	17	(	(	PUNCT
ap-3033	28	18	the	the	DET
ap-3033	28	19	method	method	NOUN
ap-3033	28	20	did	do	AUX
ap-3033	28	21	not	not	PART
ap-3033	28	22	take	take	VERB
ap-3033	28	23	into	into	ADP
ap-3033	28	24	account	account	NOUN
ap-3033	28	25	the	the	DET
ap-3033	28	26	reverse	reverse	ADJ
ap-3033	28	27	flow	flow	NOUN
ap-3033	28	28	near	near	ADP
ap-3033	28	29	the	the	DET
ap-3033	28	30	wall	wall	NOUN
ap-3033	28	31	)	)	PUNCT
ap-3033	28	32	.	.	PUNCT
ap-3033	29	1	a	a	DET
ap-3033	29	2	comparison	comparison	NOUN
ap-3033	29	3	with	with	ADP
ap-3033	29	4	the	the	DET
ap-3033	29	5	exact	exact	ADJ
ap-3033	29	6	solution	solution	NOUN
ap-3033	29	7	[	[	X
ap-3033	29	8	22	22	NUM
ap-3033	29	9	]	]	PUNCT
ap-3033	29	10	showed	show	VERB
ap-3033	29	11	,	,	PUNCT
ap-3033	29	12	that	that	SCONJ
ap-3033	29	13	the	the	DET
ap-3033	29	14	integral	integral	ADJ
ap-3033	29	15	energy	energy	NOUN
ap-3033	29	16	method	method	NOUN
ap-3033	29	17	is	be	AUX
ap-3033	29	18	more	more	ADV
ap-3033	29	19	accurate	accurate	ADJ
ap-3033	29	20	than	than	ADP
ap-3033	29	21	the	the	DET
ap-3033	29	22	integral	integral	ADJ
ap-3033	29	23	momentum	momentum	NOUN
ap-3033	29	24	method	method	NOUN
ap-3033	29	25	.	.	PUNCT
ap-3033	30	1	the	the	DET
ap-3033	30	2	methods	method	NOUN
ap-3033	30	3	described	describe	VERB
ap-3033	30	4	in	in	ADP
ap-3033	30	5	this	this	DET
ap-3033	30	6	paper	paper	NOUN
ap-3033	30	7	anticipate	anticipate	VERB
ap-3033	30	8	quite	quite	ADV
ap-3033	30	9	opposite	opposite	ADJ
ap-3033	30	10	conclusions	conclusion	NOUN
ap-3033	30	11	.	.	PUNCT
ap-3033	31	1	the	the	DET
ap-3033	31	2	method	method	NOUN
ap-3033	31	3	proposed	propose	VERB
ap-3033	31	4	in	in	ADP
ap-3033	31	5	our	our	PRON
ap-3033	31	6	paper	paper	NOUN
ap-3033	31	7	was	be	AUX
ap-3033	31	8	applied	apply	VERB
ap-3033	31	9	in	in	ADP
ap-3033	31	10	the	the	DET
ap-3033	31	11	newly	newly	ADV
ap-3033	31	12	developed	develop	VERB
ap-3033	31	13	experimental	experimental	ADJ
ap-3033	31	14	method	method	NOUN
ap-3033	31	15	for	for	ADP
ap-3033	31	16	identifying	identify	VERB
ap-3033	31	17	viscoelastic	viscoelastic	ADJ
ap-3033	31	18	properties	property	NOUN
ap-3033	31	19	of	of	ADP
ap-3033	31	20	blood	blood	NOUN
ap-3033	31	21	vessels	vessel	NOUN
ap-3033	31	22	and	and	CCONJ
ap-3033	31	23	grafts	graft	NOUN
ap-3033	31	24	using	use	VERB
ap-3033	31	25	a	a	DET
ap-3033	31	26	transient	transient	ADJ
ap-3033	31	27	water	water	NOUN
ap-3033	31	28	hammer	hammer	NOUN
ap-3033	31	29	experiment	experiment	NOUN
ap-3033	31	30	[	[	X
ap-3033	31	31	24	24	NUM
ap-3033	31	32	]	]	PUNCT
ap-3033	31	33	.	.	PUNCT
ap-3033	32	1	the	the	DET
ap-3033	32	2	experimental	experimental	ADJ
ap-3033	32	3	setup	setup	NOUN
ap-3033	32	4	consists	consist	VERB
ap-3033	32	5	of	of	ADP
ap-3033	32	6	the	the	DET
ap-3033	32	7	tested	test	VERB
ap-3033	32	8	elastic	elastic	ADJ
ap-3033	32	9	tubular	tubular	ADJ
ap-3033	32	10	sample	sample	NOUN
ap-3033	32	11	connected	connect	VERB
ap-3033	32	12	to	to	ADP
ap-3033	32	13	a	a	DET
ap-3033	32	14	long	long	ADJ
ap-3033	32	15	glass	glass	NOUN
ap-3033	32	16	capillary	capillary	NOUN
ap-3033	32	17	filled	fill	VERB
ap-3033	32	18	with	with	ADP
ap-3033	32	19	an	an	DET
ap-3033	32	20	oscillating	oscillate	VERB
ap-3033	32	21	column	column	NOUN
ap-3033	32	22	of	of	ADP
ap-3033	32	23	water	water	NOUN
ap-3033	32	24	.	.	PUNCT
ap-3033	33	1	when	when	SCONJ
ap-3033	33	2	the	the	DET
ap-3033	33	3	standard	standard	ADJ
ap-3033	33	4	balance	balance	NOUN
ap-3033	33	5	momentum	momentum	NOUN
ap-3033	33	6	equation	equation	NOUN
ap-3033	33	7	with	with	ADP
ap-3033	33	8	a	a	DET
ap-3033	33	9	parabolic	parabolic	ADJ
ap-3033	33	10	velocity	velocity	NOUN
ap-3033	33	11	profile	profile	NOUN
ap-3033	33	12	[	[	X
ap-3033	33	13	25	25	NUM
ap-3033	33	14	]	]	PUNCT
ap-3033	33	15	,	,	PUNCT
ap-3033	33	16	[	[	X
ap-3033	33	17	26	26	NUM
ap-3033	33	18	]	]	PUNCT
ap-3033	33	19	is	be	AUX
ap-3033	33	20	used	use	VERB
ap-3033	33	21	to	to	PART
ap-3033	33	22	describe	describe	VERB
ap-3033	33	23	the	the	DET
ap-3033	33	24	pulsation	pulsation	NOUN
ap-3033	33	25	of	of	ADP
ap-3033	33	26	the	the	DET
ap-3033	33	27	column	column	NOUN
ap-3033	33	28	of	of	ADP
ap-3033	33	29	water	water	NOUN
ap-3033	33	30	,	,	PUNCT
ap-3033	33	31	there	there	PRON
ap-3033	33	32	is	be	VERB
ap-3033	33	33	an	an	DET
ap-3033	33	34	error	error	NOUN
ap-3033	33	35	in	in	ADP
ap-3033	33	36	the	the	DET
ap-3033	33	37	predicted	predict	VERB
ap-3033	33	38	frequency	frequency	NOUN
ap-3033	33	39	.	.	PUNCT
ap-3033	34	1	the	the	DET
ap-3033	34	2	error	error	NOUN
ap-3033	34	3	is	be	AUX
ap-3033	34	4	reduced	reduce	VERB
ap-3033	34	5	by	by	ADP
ap-3033	34	6	using	use	VERB
ap-3033	34	7	a	a	DET
ap-3033	34	8	new	new	ADJ
ap-3033	34	9	model	model	NOUN
ap-3033	34	10	,	,	PUNCT
ap-3033	34	11	which	which	PRON
ap-3033	34	12	replaces	replace	VERB
ap-3033	34	13	the	the	DET
ap-3033	34	14	standard	standard	ADJ
ap-3033	34	15	balance	balance	NOUN
ap-3033	34	16	momentum	momentum	NOUN
ap-3033	34	17	equation	equation	NOUN
ap-3033	34	18	by	by	ADP
ap-3033	34	19	two	two	NUM
ap-3033	34	20	ordinary	ordinary	ADJ
ap-3033	34	21	differential	differential	ADJ
ap-3033	34	22	equations	equation	NOUN
ap-3033	34	23	:	:	PUNCT
ap-3033	34	24	one	one	NUM
ap-3033	34	25	for	for	ADP
ap-3033	34	26	the	the	DET
ap-3033	34	27	total	total	ADJ
ap-3033	34	28	flow	flow	NOUN
ap-3033	34	29	rate	rate	NOUN
ap-3033	34	30	and	and	CCONJ
ap-3033	34	31	one	one	NUM
ap-3033	34	32	for	for	ADP
ap-3033	34	33	the	the	DET
ap-3033	34	34	reverse	reverse	ADJ
ap-3033	34	35	flow	flow	NOUN
ap-3033	34	36	rate	rate	NOUN
ap-3033	34	37	.	.	PUNCT
ap-3033	35	1	the	the	DET
ap-3033	35	2	model	model	NOUN
ap-3033	35	3	is	be	AUX
ap-3033	35	4	derived	derive	VERB
ap-3033	35	5	from	from	ADP
ap-3033	35	6	the	the	DET
ap-3033	35	7	momentum	momentum	NOUN
ap-3033	35	8	balance	balance	NOUN
ap-3033	35	9	and	and	CCONJ
ap-3033	35	10	from	from	ADP
ap-3033	35	11	the	the	DET
ap-3033	35	12	macroscopic	macroscopic	ADJ
ap-3033	35	13	kinetic	kinetic	ADJ
ap-3033	35	14	energy	energy	NOUN
ap-3033	35	15	balance	balance	NOUN
ap-3033	35	16	.	.	PUNCT
ap-3033	36	1	99	99	NUM
ap-3033	36	2	http://dx.doi.org/10.14311/ap.2016.56.0099	http://dx.doi.org/10.14311/ap.2016.56.0099	X
ap-3033	36	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-3033	36	4	d.	d.	PROPN
ap-3033	36	5	hromádka	hromádka	PROPN
ap-3033	36	6	,	,	PUNCT
ap-3033	36	7	h.	h.	PROPN
ap-3033	36	8	chlup	chlup	PROPN
ap-3033	36	9	,	,	PUNCT
ap-3033	36	10	r.	r.	PROPN
ap-3033	36	11	žitný	žitný	PROPN
ap-3033	36	12	acta	acta	PROPN
ap-3033	36	13	polytechnica	polytechnica	PROPN
ap-3033	36	14	author	author	NOUN
ap-3033	36	15	solution	solution	NOUN
ap-3033	36	16	method	method	NOUN
ap-3033	36	17	velocity	velocity	NOUN
ap-3033	36	18	profile	profile	NOUN
ap-3033	36	19	form	form	VERB
ap-3033	36	20	reverse	reverse	ADJ
ap-3033	36	21	flow	flow	NOUN
ap-3033	36	22	specific	specific	ADJ
ap-3033	36	23	[	[	X
ap-3033	36	24	12	12	NUM
ap-3033	36	25	]	]	X
ap-3033	36	26	integral	integral	ADJ
ap-3033	36	27	momentum	momentum	NOUN
ap-3033	36	28	u(r	u(r	NOUN
ap-3033	36	29	,	,	PUNCT
ap-3033	36	30	t	t	PROPN
ap-3033	36	31	)	)	PUNCT
ap-3033	36	32	=	=	SYM
ap-3033	36	33	u(t	u(t	NOUN
ap-3033	36	34	)	)	PUNCT
ap-3033	36	35	4∑	4∑	NOUN
ap-3033	36	36	i=0	i=0	PROPN
ap-3033	36	37	ai	ai	VERB
ap-3033	36	38	ri	ri	PROPN
ap-3033	36	39	ri	ri	NOUN
ap-3033	36	40	for	for	ADP
ap-3033	36	41	a1	a1	NOUN
ap-3033	36	42	=	=	SYM
ap-3033	36	43	0	0	NUM
ap-3033	37	1	yes	yes	INTJ
ap-3033	37	2	flow	flow	NOUN
ap-3033	37	3	in	in	ADP
ap-3033	37	4	a	a	DET
ap-3033	37	5	tube	tube	NOUN
ap-3033	37	6	with	with	ADP
ap-3033	37	7	and	and	CCONJ
ap-3033	37	8	without	without	ADP
ap-3033	37	9	longitudinal	longitudinal	ADJ
ap-3033	37	10	vibration	vibration	NOUN
ap-3033	37	11	of	of	ADP
ap-3033	37	12	the	the	DET
ap-3033	37	13	wall	wall	NOUN
ap-3033	37	14	compared	compare	VERB
ap-3033	37	15	with	with	ADP
ap-3033	37	16	[	[	X
ap-3033	37	17	11	11	NUM
ap-3033	37	18	]	]	SYM
ap-3033	37	19	exact	exact	ADJ
ap-3033	37	20	solution	solution	NOUN
ap-3033	37	21	for	for	ADP
ap-3033	37	22	α	α	NOUN
ap-3033	37	23	=	=	SYM
ap-3033	37	24	0–10	0–10	PROPN
ap-3033	38	1	[	[	X
ap-3033	38	2	13	13	NUM
ap-3033	38	3	]	]	X
ap-3033	38	4	integral	integral	ADJ
ap-3033	38	5	momentum	momentum	NOUN
ap-3033	38	6	u(r	u(r	NOUN
ap-3033	38	7	,	,	PUNCT
ap-3033	38	8	t	t	PROPN
ap-3033	38	9	)	)	PUNCT
ap-3033	38	10	=	=	SYM
ap-3033	38	11	u(t	u(t	NOUN
ap-3033	38	12	)	)	PUNCT
ap-3033	38	13	4∑	4∑	NOUN
ap-3033	38	14	i=0	i=0	PROPN
ap-3033	38	15	ai	ai	VERB
ap-3033	38	16	ri	ri	PROPN
ap-3033	38	17	ri	ri	NOUN
ap-3033	38	18	for	for	ADP
ap-3033	38	19	a1	a1	NOUN
ap-3033	38	20	=	=	NOUN
ap-3033	38	21	a3	a3	NOUN
ap-3033	38	22	=	=	SYM
ap-3033	38	23	0	0	NUM
ap-3033	39	1	yes	yes	INTJ
ap-3033	39	2	flow	flow	NOUN
ap-3033	39	3	of	of	ADP
ap-3033	39	4	non	non	ADJ
ap-3033	39	5	-	-	ADJ
ap-3033	39	6	newtonian	newtonian	ADJ
ap-3033	39	7	fluid	fluid	NOUN
ap-3033	39	8	with	with	ADP
ap-3033	39	9	vibrating	vibrate	VERB
ap-3033	39	10	wall	wall	NOUN
ap-3033	39	11	[	[	X
ap-3033	39	12	14	14	NUM
ap-3033	39	13	]	]	X
ap-3033	39	14	integral	integral	ADJ
ap-3033	39	15	momentum	momentum	NOUN
ap-3033	39	16	u(r	u(r	NOUN
ap-3033	39	17	,	,	PUNCT
ap-3033	39	18	t	t	PROPN
ap-3033	39	19	)	)	PUNCT
ap-3033	39	20	=	=	SYM
ap-3033	39	21	u(t	u(t	NOUN
ap-3033	39	22	)	)	PUNCT
ap-3033	39	23	4∑	4∑	NOUN
ap-3033	39	24	i=0	i=0	PROPN
ap-3033	39	25	ai	ai	VERB
ap-3033	39	26	ri	ri	PROPN
ap-3033	39	27	ri	ri	NOUN
ap-3033	39	28	for	for	ADP
ap-3033	39	29	a1	a1	NOUN
ap-3033	39	30	=	=	SYM
ap-3033	39	31	0	0	NUM
ap-3033	40	1	yes	yes	INTJ
ap-3033	40	2	flow	flow	NOUN
ap-3033	40	3	of	of	ADP
ap-3033	40	4	micropolar	micropolar	ADJ
ap-3033	40	5	fluid	fluid	NOUN
ap-3033	40	6	with	with	ADP
ap-3033	40	7	and	and	CCONJ
ap-3033	40	8	without	without	ADP
ap-3033	40	9	longitudinal	longitudinal	ADJ
ap-3033	40	10	vibration	vibration	NOUN
ap-3033	40	11	of	of	ADP
ap-3033	40	12	the	the	DET
ap-3033	40	13	wall	wall	NOUN
ap-3033	40	14	[	[	X
ap-3033	40	15	15	15	NUM
ap-3033	40	16	]	]	PUNCT
ap-3033	40	17	combination	combination	NOUN
ap-3033	40	18	of	of	ADP
ap-3033	40	19	integral	integral	ADJ
ap-3033	40	20	energy	energy	NOUN
ap-3033	40	21	and	and	CCONJ
ap-3033	40	22	integral	integral	ADJ
ap-3033	40	23	momentum	momentum	NOUN
ap-3033	40	24	u(r	u(r	NOUN
ap-3033	40	25	)	)	PUNCT
ap-3033	41	1	=	=	SYM
ap-3033	41	2	u	u	NOUN
ap-3033	41	3	4∑	4∑	NOUN
ap-3033	41	4	i=0	i=0	PROPN
ap-3033	41	5	ai	ai	VERB
ap-3033	41	6	ri	ri	PROPN
ap-3033	41	7	ri	ri	NOUN
ap-3033	41	8	for	for	ADP
ap-3033	41	9	a1	a1	NOUN
ap-3033	41	10	=	=	NOUN
ap-3033	41	11	a3	a3	NOUN
ap-3033	41	12	=	=	SYM
ap-3033	41	13	0	0	NUM
ap-3033	42	1	and	and	CCONJ
ap-3033	42	2	flat	flat	ADJ
ap-3033	42	3	profile	profile	NOUN
ap-3033	42	4	yes	yes	INTJ
ap-3033	42	5	steady	steady	ADJ
ap-3033	42	6	flow	flow	NOUN
ap-3033	42	7	through	through	ADP
ap-3033	42	8	rigid	rigid	ADJ
ap-3033	42	9	stenosis	stenosis	NOUN
ap-3033	42	10	,	,	PUNCT
ap-3033	42	11	results	result	NOUN
ap-3033	42	12	were	be	AUX
ap-3033	42	13	compared	compare	VERB
ap-3033	42	14	with	with	ADP
ap-3033	42	15	an	an	DET
ap-3033	42	16	experiment	experiment	NOUN
ap-3033	42	17	[	[	X
ap-3033	42	18	16	16	NUM
ap-3033	42	19	]	]	X
ap-3033	42	20	integral	integral	ADJ
ap-3033	42	21	momentum	momentum	NOUN
ap-3033	42	22	u(r	u(r	NOUN
ap-3033	42	23	)	)	PUNCT
ap-3033	43	1	=	=	SYM
ap-3033	43	2	u	u	NOUN
ap-3033	43	3	4∑	4∑	NOUN
ap-3033	43	4	i=0	i=0	PROPN
ap-3033	43	5	ai	ai	VERB
ap-3033	43	6	ri	ri	PROPN
ap-3033	43	7	ri	ri	NOUN
ap-3033	43	8	for	for	ADP
ap-3033	43	9	a0	a0	PROPN
ap-3033	43	10	=	=	SYM
ap-3033	43	11	0	0	NUM
ap-3033	44	1	yes	yes	INTJ
ap-3033	44	2	steady	steady	ADJ
ap-3033	44	3	flow	flow	NOUN
ap-3033	44	4	through	through	ADP
ap-3033	44	5	rigid	rigid	ADJ
ap-3033	44	6	stenosis	stenosis	NOUN
ap-3033	44	7	,	,	PUNCT
ap-3033	44	8	results	result	NOUN
ap-3033	44	9	were	be	AUX
ap-3033	44	10	compared	compare	VERB
ap-3033	44	11	with	with	ADP
ap-3033	44	12	experiment	experiment	NOUN
ap-3033	44	13	[	[	X
ap-3033	44	14	17	17	NUM
ap-3033	44	15	]	]	X
ap-3033	45	1	[	[	X
ap-3033	45	2	18	18	NUM
ap-3033	45	3	]	]	X
ap-3033	45	4	integral	integral	ADJ
ap-3033	45	5	momentum	momentum	NOUN
ap-3033	45	6	u∗(r∗	u∗(r∗	NOUN
ap-3033	45	7	,	,	PUNCT
ap-3033	45	8	x∗	x∗	PROPN
ap-3033	45	9	,	,	PUNCT
ap-3033	45	10	t∗	t∗	NOUN
ap-3033	45	11	)	)	PUNCT
ap-3033	45	12	=	=	SYM
ap-3033	45	13	3∑	3∑	NUM
ap-3033	45	14	i=0	i=0	PROPN
ap-3033	45	15	ui(x∗	ui(x∗	PROPN
ap-3033	45	16	,	,	PUNCT
ap-3033	45	17	t∗)r∗i	t∗)r∗i	PROPN
ap-3033	45	18	for	for	ADP
ap-3033	45	19	u0	u0	ADJ
ap-3033	45	20	=	=	NOUN
ap-3033	45	21	u1	u1	NOUN
ap-3033	45	22	=	=	SYM
ap-3033	45	23	0	0	NUM
ap-3033	45	24	yes	yes	INTJ
ap-3033	45	25	flow	flow	NOUN
ap-3033	45	26	through	through	ADP
ap-3033	45	27	compliant	compliant	ADJ
ap-3033	45	28	and	and	CCONJ
ap-3033	45	29	rigid	rigid	ADJ
ap-3033	45	30	tube	tube	NOUN
ap-3033	45	31	.	.	PUNCT
ap-3033	46	1	solution	solution	NOUN
ap-3033	46	2	in	in	ADP
ap-3033	46	3	rigid	rigid	ADJ
ap-3033	46	4	tube	tube	NOUN
ap-3033	46	5	was	be	AUX
ap-3033	46	6	compared	compare	VERB
ap-3033	46	7	with	with	ADP
ap-3033	46	8	[	[	X
ap-3033	46	9	11	11	NUM
ap-3033	46	10	]	]	PUNCT
ap-3033	46	11	for	for	ADP
ap-3033	46	12	α	α	NOUN
ap-3033	46	13	=	=	SYM
ap-3033	46	14	1	1	NUM
ap-3033	46	15	,	,	PUNCT
ap-3033	46	16	3	3	NUM
ap-3033	46	17	,	,	PUNCT
ap-3033	46	18	4.72	4.72	NUM
ap-3033	46	19	,	,	PUNCT
ap-3033	46	20	6.67	6.67	NUM
ap-3033	46	21	,	,	PUNCT
ap-3033	46	22	15	15	NUM
ap-3033	46	23	[	[	SYM
ap-3033	46	24	19	19	NUM
ap-3033	46	25	]	]	X
ap-3033	46	26	integral	integral	ADJ
ap-3033	46	27	momentum	momentum	NOUN
ap-3033	46	28	u(r	u(r	NOUN
ap-3033	46	29	,	,	PUNCT
ap-3033	46	30	t	t	PROPN
ap-3033	46	31	)	)	PUNCT
ap-3033	46	32	=	=	SYM
ap-3033	46	33	eiωta0	eiωta0	PROPN
ap-3033	46	34	(	(	PUNCT
ap-3033	46	35	1−	1−	NUM
ap-3033	46	36	r2	r2	NOUN
ap-3033	46	37	r2	r2	PROPN
ap-3033	46	38	)	)	PUNCT
ap-3033	46	39	(	(	PUNCT
ap-3033	46	40	a1−	a1−	DET
ap-3033	46	41	r2	r2	NOUN
ap-3033	46	42	r2	r2	PROPN
ap-3033	46	43	)	)	PUNCT
ap-3033	47	1	yes	yes	INTJ
ap-3033	47	2	solution	solution	NOUN
ap-3033	47	3	only	only	ADV
ap-3033	47	4	for	for	ADP
ap-3033	47	5	harmonic	harmonic	ADJ
ap-3033	47	6	p	p	NOUN
ap-3033	47	7	,	,	PUNCT
ap-3033	47	8	compared	compare	VERB
ap-3033	47	9	with	with	ADP
ap-3033	47	10	[	[	X
ap-3033	47	11	20	20	NUM
ap-3033	47	12	]	]	ADJ
ap-3033	47	13	exact	exact	ADJ
ap-3033	47	14	solution	solution	NOUN
ap-3033	47	15	for	for	ADP
ap-3033	47	16	α=2	α=2	NOUN
ap-3033	47	17	,	,	PUNCT
ap-3033	47	18	4	4	NUM
ap-3033	47	19	,	,	PUNCT
ap-3033	47	20	6	6	NUM
ap-3033	47	21	[	[	SYM
ap-3033	47	22	21	21	NUM
ap-3033	47	23	]	]	X
ap-3033	47	24	integral	integral	ADJ
ap-3033	47	25	momentum	momentum	NOUN
ap-3033	47	26	,	,	PUNCT
ap-3033	47	27	integral	integral	ADJ
ap-3033	47	28	energy	energy	NOUN
ap-3033	47	29	u(r	u(r	NOUN
ap-3033	47	30	,	,	PUNCT
ap-3033	47	31	t	t	PROPN
ap-3033	47	32	)	)	PUNCT
ap-3033	47	33	=	=	SYM
ap-3033	48	1	2ū(t	2ū(t	X
ap-3033	48	2	)	)	PUNCT
ap-3033	48	3	3n+1	3n+1	NOUN
ap-3033	48	4	n+1	n+1	PROPN
ap-3033	48	5	(	(	PUNCT
ap-3033	48	6	1	1	NUM
ap-3033	48	7	−	−	NOUN
ap-3033	48	8	r	r	NOUN
ap-3033	48	9	n+1	n+1	PROPN
ap-3033	48	10	n	n	NOUN
ap-3033	48	11	r	r	NOUN
ap-3033	48	12	n+1	n+1	PROPN
ap-3033	48	13	n	n	X
ap-3033	48	14	)	)	PUNCT
ap-3033	48	15	tested	test	VERB
ap-3033	48	16	only	only	ADV
ap-3033	48	17	for	for	ADP
ap-3033	48	18	the	the	DET
ap-3033	48	19	special	special	ADJ
ap-3033	48	20	case	case	NOUN
ap-3033	48	21	n	n	NOUN
ap-3033	48	22	=	=	SYM
ap-3033	48	23	1	1	NUM
ap-3033	48	24	no	no	DET
ap-3033	48	25	flow	flow	NOUN
ap-3033	48	26	of	of	ADP
ap-3033	48	27	power	power	NOUN
ap-3033	48	28	law	law	NOUN
ap-3033	48	29	and	and	CCONJ
ap-3033	48	30	newtonian	newtonian	ADJ
ap-3033	48	31	fluid	fluid	NOUN
ap-3033	48	32	compared	compare	VERB
ap-3033	48	33	with	with	ADP
ap-3033	48	34	[	[	X
ap-3033	48	35	22	22	NUM
ap-3033	48	36	]	]	X
ap-3033	48	37	exact	exact	ADJ
ap-3033	48	38	solution	solution	NOUN
ap-3033	48	39	for	for	ADP
ap-3033	48	40	α	α	NOUN
ap-3033	48	41	=	=	SYM
ap-3033	48	42	0–10	0–10	PROPN
ap-3033	49	1	[	[	X
ap-3033	49	2	23	23	NUM
ap-3033	49	3	]	]	X
ap-3033	49	4	integral	integral	ADJ
ap-3033	49	5	momentum	momentum	NOUN
ap-3033	49	6	u(r	u(r	NOUN
ap-3033	49	7	,	,	PUNCT
ap-3033	49	8	t	t	PROPN
ap-3033	49	9	)	)	PUNCT
ap-3033	49	10	=	=	SYM
ap-3033	49	11	2u(t	2u(t	NUM
ap-3033	49	12	)	)	PUNCT
ap-3033	49	13	(	(	PUNCT
ap-3033	49	14	1	1	NUM
ap-3033	49	15	−	−	PROPN
ap-3033	49	16	r2	r2	PROPN
ap-3033	49	17	r2	r2	PROPN
ap-3033	49	18	)	)	PUNCT
ap-3033	50	1	no	no	DET
ap-3033	50	2	method	method	NOUN
ap-3033	50	3	proposed	propose	VERB
ap-3033	50	4	compared	compare	VERB
ap-3033	50	5	with	with	ADP
ap-3033	50	6	[	[	X
ap-3033	50	7	22	22	NUM
ap-3033	50	8	]	]	X
ap-3033	50	9	exact	exact	ADJ
ap-3033	50	10	solution	solution	NOUN
ap-3033	50	11	for	for	ADP
ap-3033	50	12	α	α	NOUN
ap-3033	50	13	=	=	SYM
ap-3033	50	14	0–9	0–9	NOUN
ap-3033	50	15	table	table	NOUN
ap-3033	50	16	1	1	NUM
ap-3033	50	17	.	.	X
ap-3033	50	18	list	list	NOUN
ap-3033	50	19	of	of	ADP
ap-3033	50	20	integral	integral	ADJ
ap-3033	50	21	methods	method	NOUN
ap-3033	50	22	used	use	VERB
ap-3033	50	23	for	for	ADP
ap-3033	50	24	describing	describe	VERB
ap-3033	50	25	pulsatile	pulsatile	NOUN
ap-3033	50	26	flow	flow	NOUN
ap-3033	50	27	.	.	PUNCT
ap-3033	51	1	2	2	X
ap-3033	51	2	.	.	X
ap-3033	51	3	methods	method	NOUN
ap-3033	51	4	2.1	2.1	NUM
ap-3033	51	5	.	.	PUNCT
ap-3033	51	6	mathematical	mathematical	ADJ
ap-3033	51	7	model	model	NOUN
ap-3033	51	8	–	–	PUNCT
ap-3033	51	9	weak	weak	ADJ
ap-3033	51	10	formulation	formulation	NOUN
ap-3033	51	11	the	the	DET
ap-3033	51	12	exact	exact	ADJ
ap-3033	51	13	solution	solution	NOUN
ap-3033	51	14	of	of	ADP
ap-3033	51	15	pulsatile	pulsatile	NOUN
ap-3033	51	16	flow	flow	NOUN
ap-3033	51	17	in	in	ADP
ap-3033	51	18	a	a	DET
ap-3033	51	19	rigid	rigid	ADJ
ap-3033	51	20	tube	tube	NOUN
ap-3033	51	21	of	of	ADP
ap-3033	51	22	constant	constant	ADJ
ap-3033	51	23	radius	radius	NOUN
ap-3033	51	24	r	r	NOUN
ap-3033	51	25	is	be	AUX
ap-3033	51	26	fully	fully	ADV
ap-3033	51	27	described	describe	VERB
ap-3033	51	28	by	by	ADP
ap-3033	51	29	the	the	DET
ap-3033	51	30	momentum	momentum	NOUN
ap-3033	51	31	balance	balance	NOUN
ap-3033	51	32	in	in	ADP
ap-3033	51	33	the	the	DET
ap-3033	51	34	x	x	PROPN
ap-3033	51	35	axial	axial	ADJ
ap-3033	51	36	direction	direction	NOUN
ap-3033	51	37	,	,	PUNCT
ap-3033	51	38	assuming	assume	VERB
ap-3033	51	39	rotational	rotational	ADJ
ap-3033	51	40	symmetry	symmetry	NOUN
ap-3033	51	41	and	and	CCONJ
ap-3033	51	42	spatially	spatially	ADV
ap-3033	51	43	fully	fully	ADV
ap-3033	51	44	-	-	PUNCT
ap-3033	51	45	developed	develop	VERB
ap-3033	51	46	flow	flow	NOUN
ap-3033	51	47	of	of	ADP
ap-3033	51	48	a	a	DET
ap-3033	51	49	noncompressible	noncompressible	ADJ
ap-3033	51	50	fluid	fluid	ADJ
ap-3033	51	51	ρ	ρ	NOUN
ap-3033	52	1	∂u	∂u	PROPN
ap-3033	52	2	∂t	∂t	PROPN
ap-3033	52	3	=	=	SYM
ap-3033	52	4	−∂p	−∂p	PROPN
ap-3033	52	5	∂x	∂x	PROPN
ap-3033	52	6	+	+	CCONJ
ap-3033	52	7	µ	µ	NUM
ap-3033	52	8	1	1	NUM
ap-3033	52	9	r	r	NOUN
ap-3033	52	10	∂	∂	NOUN
ap-3033	52	11	∂r	∂r	NOUN
ap-3033	52	12	(	(	PUNCT
ap-3033	52	13	r	r	NOUN
ap-3033	52	14	∂u	∂u	PROPN
ap-3033	52	15	∂r	∂r	NUM
ap-3033	52	16	)	)	PUNCT
ap-3033	52	17	,	,	PUNCT
ap-3033	52	18	(	(	PUNCT
ap-3033	52	19	1	1	X
ap-3033	52	20	)	)	PUNCT
ap-3033	52	21	where	where	SCONJ
ap-3033	52	22	ρ	ρ	PROPN
ap-3033	52	23	is	be	AUX
ap-3033	52	24	constant	constant	ADJ
ap-3033	52	25	density	density	NOUN
ap-3033	52	26	and	and	CCONJ
ap-3033	52	27	µ	µ	NOUN
ap-3033	52	28	is	be	AUX
ap-3033	52	29	dynamic	dynamic	ADJ
ap-3033	52	30	viscosity	viscosity	NOUN
ap-3033	52	31	.	.	PUNCT
ap-3033	53	1	pressure	pressure	NOUN
ap-3033	53	2	p	p	NOUN
ap-3033	53	3	is	be	AUX
ap-3033	53	4	independent	independent	ADJ
ap-3033	53	5	of	of	ADP
ap-3033	53	6	the	the	DET
ap-3033	53	7	radial	radial	ADJ
ap-3033	53	8	coordinate	coordinate	NOUN
ap-3033	53	9	,	,	PUNCT
ap-3033	53	10	as	as	SCONJ
ap-3033	53	11	follows	follow	VERB
ap-3033	53	12	from	from	ADP
ap-3033	53	13	the	the	DET
ap-3033	53	14	momentum	momentum	NOUN
ap-3033	53	15	balance	balance	NOUN
ap-3033	53	16	in	in	ADP
ap-3033	53	17	the	the	DET
ap-3033	53	18	radial	radial	ADJ
ap-3033	53	19	direction	direction	NOUN
ap-3033	53	20	.	.	PUNCT
ap-3033	54	1	the	the	DET
ap-3033	54	2	pressure	pressure	NOUN
ap-3033	54	3	gradient	gradient	NOUN
ap-3033	54	4	can	can	AUX
ap-3033	54	5	be	be	AUX
ap-3033	54	6	considered	consider	VERB
ap-3033	54	7	as	as	ADP
ap-3033	54	8	a	a	DET
ap-3033	54	9	known	know	VERB
ap-3033	54	10	(	(	PUNCT
ap-3033	54	11	and	and	CCONJ
ap-3033	54	12	arbitrary	arbitrary	ADJ
ap-3033	54	13	)	)	PUNCT
ap-3033	54	14	function	function	NOUN
ap-3033	54	15	p	p	NOUN
ap-3033	54	16	(	(	PUNCT
ap-3033	54	17	t	t	NOUN
ap-3033	54	18	)	)	PUNCT
ap-3033	54	19	p	p	NOUN
ap-3033	54	20	(	(	PUNCT
ap-3033	54	21	t	t	NOUN
ap-3033	54	22	)	)	PUNCT
ap-3033	54	23	=	=	PUNCT
ap-3033	54	24	∂p	∂p	PROPN
ap-3033	54	25	∂x	∂x	PROPN
ap-3033	54	26	.	.	PUNCT
ap-3033	55	1	(	(	PUNCT
ap-3033	55	2	2	2	X
ap-3033	55	3	)	)	PUNCT
ap-3033	55	4	the	the	DET
ap-3033	55	5	equation	equation	NOUN
ap-3033	55	6	(	(	PUNCT
ap-3033	55	7	1	1	X
ap-3033	55	8	)	)	PUNCT
ap-3033	55	9	multiplied	multiply	VERB
ap-3033	55	10	by	by	ADP
ap-3033	55	11	velocity	velocity	NOUN
ap-3033	55	12	u	u	NOUN
ap-3033	55	13	represents	represent	VERB
ap-3033	55	14	the	the	DET
ap-3033	55	15	kinetic	kinetic	ADJ
ap-3033	55	16	energy	energy	NOUN
ap-3033	55	17	balance	balance	NOUN
ap-3033	55	18	,	,	PUNCT
ap-3033	55	19	which	which	PRON
ap-3033	55	20	forms	form	VERB
ap-3033	55	21	the	the	DET
ap-3033	55	22	basis	basis	NOUN
ap-3033	55	23	of	of	ADP
ap-3033	55	24	the	the	DET
ap-3033	55	25	mechanical	mechanical	ADJ
ap-3033	55	26	energy	energy	NOUN
ap-3033	55	27	equation	equation	NOUN
ap-3033	55	28	ρ	ρ	NOUN
ap-3033	55	29	1	1	NUM
ap-3033	55	30	2	2	NUM
ap-3033	55	31	∂u2	∂u2	PROPN
ap-3033	55	32	∂t	∂t	PROPN
ap-3033	55	33	=	=	PUNCT
ap-3033	55	34	−up	−up	PROPN
ap-3033	56	1	+	+	X
ap-3033	56	2	uµ	uµ	ADJ
ap-3033	56	3	1	1	NUM
ap-3033	56	4	r	r	NOUN
ap-3033	56	5	∂	∂	NOUN
ap-3033	56	6	∂r	∂r	NOUN
ap-3033	56	7	(	(	PUNCT
ap-3033	56	8	r	r	NOUN
ap-3033	56	9	∂u	∂u	PROPN
ap-3033	56	10	∂r	∂r	NUM
ap-3033	56	11	)	)	PUNCT
ap-3033	56	12	.	.	PUNCT
ap-3033	57	1	(	(	PUNCT
ap-3033	57	2	3	3	X
ap-3033	57	3	)	)	PUNCT
ap-3033	57	4	an	an	DET
ap-3033	57	5	exact	exact	ADJ
ap-3033	57	6	solution	solution	NOUN
ap-3033	57	7	of	of	ADP
ap-3033	57	8	(	(	PUNCT
ap-3033	57	9	1	1	NUM
ap-3033	57	10	)	)	PUNCT
ap-3033	57	11	,	,	PUNCT
ap-3033	57	12	(	(	PUNCT
ap-3033	57	13	3	3	X
ap-3033	57	14	)	)	PUNCT
ap-3033	57	15	has	have	VERB
ap-3033	57	16	to	to	PART
ap-3033	57	17	provide	provide	VERB
ap-3033	57	18	the	the	DET
ap-3033	57	19	same	same	ADJ
ap-3033	57	20	results	result	NOUN
ap-3033	57	21	,	,	PUNCT
ap-3033	57	22	but	but	CCONJ
ap-3033	57	23	the	the	DET
ap-3033	57	24	results	result	NOUN
ap-3033	57	25	of	of	ADP
ap-3033	57	26	an	an	DET
ap-3033	57	27	approximate	approximate	ADJ
ap-3033	57	28	solution	solution	NOUN
ap-3033	57	29	may	may	AUX
ap-3033	57	30	differ	differ	VERB
ap-3033	57	31	slightly	slightly	ADV
ap-3033	57	32	.	.	PUNCT
ap-3033	58	1	an	an	DET
ap-3033	58	2	approximation	approximation	NOUN
ap-3033	58	3	of	of	ADP
ap-3033	58	4	the	the	DET
ap-3033	58	5	velocity	velocity	NOUN
ap-3033	58	6	profile	profile	NOUN
ap-3033	58	7	u(r	u(r	PROPN
ap-3033	58	8	,	,	PUNCT
ap-3033	58	9	t	t	PROPN
ap-3033	58	10	)	)	PUNCT
ap-3033	58	11	can	can	AUX
ap-3033	58	12	be	be	AUX
ap-3033	58	13	represented	represent	VERB
ap-3033	58	14	as	as	ADP
ap-3033	58	15	a	a	DET
ap-3033	58	16	linear	linear	ADJ
ap-3033	58	17	combination	combination	NOUN
ap-3033	58	18	of	of	ADP
ap-3033	58	19	polynomial	polynomial	ADJ
ap-3033	58	20	basis	basis	NOUN
ap-3033	58	21	functions	function	NOUN
ap-3033	58	22	u(r	u(r	PROPN
ap-3033	58	23	,	,	PUNCT
ap-3033	58	24	t	t	PROPN
ap-3033	58	25	)	)	PUNCT
ap-3033	59	1	=	=	SYM
ap-3033	60	1	n∑	n∑	PROPN
ap-3033	60	2	i=1	i=1	NUM
ap-3033	60	3	ui(t)ni(r	ui(t)ni(r	PROPN
ap-3033	60	4	)	)	PUNCT
ap-3033	61	1	=	=	PUNCT
ap-3033	62	1	n∑	n∑	PROPN
ap-3033	62	2	i=1	i=1	PROPN
ap-3033	62	3	ui(t	ui(t	NOUN
ap-3033	62	4	)	)	PUNCT
ap-3033	62	5	(	(	PUNCT
ap-3033	62	6	r2(i−1	r2(i−1	NOUN
ap-3033	62	7	)	)	PUNCT
ap-3033	62	8	r2(i−1	r2(i−1	NOUN
ap-3033	62	9	)	)	PUNCT
ap-3033	62	10	−	−	NOUN
ap-3033	62	11	r2i	r2i	VERB
ap-3033	62	12	r2i	r2i	NUM
ap-3033	62	13	)	)	PUNCT
ap-3033	62	14	.	.	PUNCT
ap-3033	63	1	(	(	PUNCT
ap-3033	63	2	4	4	X
ap-3033	63	3	)	)	PUNCT
ap-3033	63	4	the	the	DET
ap-3033	63	5	term	term	NOUN
ap-3033	63	6	ui(t	ui(t	NOUN
ap-3033	63	7	)	)	PUNCT
ap-3033	63	8	is	be	AUX
ap-3033	63	9	the	the	DET
ap-3033	63	10	amplitude	amplitude	NOUN
ap-3033	63	11	of	of	ADP
ap-3033	63	12	the	the	DET
ap-3033	63	13	velocity	velocity	NOUN
ap-3033	63	14	profile	profile	NOUN
ap-3033	63	15	,	,	PUNCT
ap-3033	63	16	and	and	CCONJ
ap-3033	63	17	the	the	DET
ap-3033	63	18	symmetric	symmetric	ADJ
ap-3033	63	19	basis	basis	NOUN
ap-3033	63	20	functions	function	NOUN
ap-3033	63	21	ni(r	ni(r	PRON
ap-3033	63	22	)	)	PUNCT
ap-3033	63	23	satisfy	satisfy	VERB
ap-3033	63	24	the	the	DET
ap-3033	63	25	boundary	boundary	ADJ
ap-3033	63	26	conditions	condition	NOUN
ap-3033	63	27	(	(	PUNCT
ap-3033	63	28	u(r	u(r	PROPN
ap-3033	63	29	,	,	PUNCT
ap-3033	63	30	t	t	PROPN
ap-3033	63	31	)	)	PUNCT
ap-3033	63	32	=	=	SYM
ap-3033	63	33	0	0	NUM
ap-3033	63	34	,	,	PUNCT
ap-3033	63	35	∂u(0	∂u(0	NOUN
ap-3033	63	36	,	,	PUNCT
ap-3033	63	37	t)/∂r	t)/∂r	PROPN
ap-3033	63	38	=	=	SYM
ap-3033	63	39	0	0	NUM
ap-3033	63	40	)	)	PUNCT
ap-3033	63	41	.	.	PUNCT
ap-3033	64	1	100	100	NUM
ap-3033	64	2	vol	vol	NOUN
ap-3033	64	3	.	.	PUNCT
ap-3033	65	1	56	56	NUM
ap-3033	65	2	no	no	NOUN
ap-3033	65	3	.	.	PUNCT
ap-3033	66	1	2/2016	2/2016	NUM
ap-3033	66	2	integral	integral	ADJ
ap-3033	66	3	methods	method	NOUN
ap-3033	66	4	for	for	ADP
ap-3033	66	5	describing	describe	VERB
ap-3033	66	6	pulsatile	pulsatile	NOUN
ap-3033	66	7	flow	flow	VERB
ap-3033	66	8	an	an	DET
ap-3033	66	9	approximation	approximation	NOUN
ap-3033	66	10	of	of	ADP
ap-3033	66	11	the	the	DET
ap-3033	66	12	velocity	velocity	NOUN
ap-3033	66	13	profile	profile	NOUN
ap-3033	66	14	for	for	ADP
ap-3033	66	15	n	n	NOUN
ap-3033	66	16	=	=	SYM
ap-3033	66	17	1	1	NUM
ap-3033	66	18	corresponds	correspond	VERB
ap-3033	66	19	to	to	ADP
ap-3033	66	20	a	a	DET
ap-3033	66	21	parabolic	parabolic	ADJ
ap-3033	66	22	function	function	NOUN
ap-3033	66	23	(	(	PUNCT
ap-3033	66	24	hagen	hagen	PROPN
ap-3033	66	25	poiseuille	poiseuille	PROPN
ap-3033	66	26	)	)	PUNCT
ap-3033	66	27	and	and	CCONJ
ap-3033	66	28	further	further	ADJ
ap-3033	66	29	terms	term	NOUN
ap-3033	66	30	with	with	ADP
ap-3033	66	31	a	a	DET
ap-3033	66	32	higher	high	ADJ
ap-3033	66	33	power	power	NOUN
ap-3033	66	34	exponent	exponent	NOUN
ap-3033	66	35	can	can	AUX
ap-3033	66	36	be	be	AUX
ap-3033	66	37	called	call	VERB
ap-3033	66	38	corrective	corrective	ADJ
ap-3033	66	39	functions	function	NOUN
ap-3033	66	40	that	that	PRON
ap-3033	66	41	provide	provide	VERB
ap-3033	66	42	a	a	DET
ap-3033	66	43	description	description	NOUN
ap-3033	66	44	of	of	ADP
ap-3033	66	45	more	more	ADJ
ap-3033	66	46	extrema	extrema	NOUN
ap-3033	66	47	(	(	PUNCT
ap-3033	66	48	for	for	ADP
ap-3033	66	49	example	example	NOUN
ap-3033	66	50	the	the	DET
ap-3033	66	51	second	second	ADJ
ap-3033	66	52	basis	basis	NOUN
ap-3033	66	53	function	function	NOUN
ap-3033	66	54	n2(r	n2(r	NOUN
ap-3033	66	55	)	)	PUNCT
ap-3033	66	56	represents	represent	VERB
ap-3033	66	57	a	a	DET
ap-3033	66	58	typical	typical	ADJ
ap-3033	66	59	radial	radial	ADJ
ap-3033	66	60	velocity	velocity	NOUN
ap-3033	66	61	profile	profile	NOUN
ap-3033	66	62	with	with	ADP
ap-3033	66	63	backflow	backflow	NOUN
ap-3033	66	64	at	at	ADP
ap-3033	66	65	the	the	DET
ap-3033	66	66	wall	wall	NOUN
ap-3033	66	67	)	)	PUNCT
ap-3033	66	68	.	.	PUNCT
ap-3033	67	1	first	first	ADV
ap-3033	67	2	,	,	PUNCT
ap-3033	67	3	we	we	PRON
ap-3033	67	4	derive	derive	VERB
ap-3033	67	5	approximate	approximate	ADJ
ap-3033	67	6	solutions	solution	NOUN
ap-3033	67	7	(	(	PUNCT
ap-3033	67	8	5	5	NUM
ap-3033	67	9	)	)	PUNCT
ap-3033	67	10	,	,	PUNCT
ap-3033	67	11	(	(	PUNCT
ap-3033	67	12	6	6	NUM
ap-3033	67	13	)	)	PUNCT
ap-3033	67	14	from	from	ADP
ap-3033	67	15	the	the	DET
ap-3033	67	16	balance	balance	NOUN
ap-3033	67	17	momentum	momentum	NOUN
ap-3033	67	18	equation	equation	NOUN
ap-3033	67	19	(	(	PUNCT
ap-3033	67	20	1	1	NUM
ap-3033	67	21	)	)	PUNCT
ap-3033	67	22	and	and	CCONJ
ap-3033	67	23	from	from	ADP
ap-3033	67	24	the	the	DET
ap-3033	67	25	kinetic	kinetic	ADJ
ap-3033	67	26	energy	energy	NOUN
ap-3033	67	27	equation	equation	NOUN
ap-3033	67	28	(	(	PUNCT
ap-3033	67	29	3	3	NUM
ap-3033	67	30	)	)	PUNCT
ap-3033	67	31	respectively	respectively	ADV
ap-3033	67	32	.	.	PUNCT
ap-3033	68	1	the	the	DET
ap-3033	68	2	galerkin	galerkin	PROPN
ap-3033	68	3	weighted	weight	VERB
ap-3033	68	4	residual	residual	ADJ
ap-3033	68	5	method	method	NOUN
ap-3033	68	6	is	be	AUX
ap-3033	68	7	applied	apply	VERB
ap-3033	68	8	.	.	PUNCT
ap-3033	69	1	the	the	DET
ap-3033	69	2	integration	integration	NOUN
ap-3033	69	3	of	of	ADP
ap-3033	69	4	the	the	DET
ap-3033	69	5	residual	residual	ADJ
ap-3033	69	6	res	re	NOUN
ap-3033	69	7	and	and	CCONJ
ap-3033	69	8	the	the	DET
ap-3033	69	9	weight	weight	NOUN
ap-3033	69	10	function	function	NOUN
ap-3033	69	11	wj	wj	PROPN
ap-3033	69	12	is	be	AUX
ap-3033	69	13	over	over	ADP
ap-3033	69	14	area	area	PROPN
ap-3033	69	15	2πr	2πr	PROPN
ap-3033	69	16	dr	dr	PROPN
ap-3033	69	17	,	,	PUNCT
ap-3033	69	18	and	and	CCONJ
ap-3033	69	19	for	for	ADP
ap-3033	69	20	the	the	DET
ap-3033	69	21	momentum	momentum	NOUN
ap-3033	69	22	balance	balance	NOUN
ap-3033	69	23	results	result	NOUN
ap-3033	69	24	in	in	ADP
ap-3033	69	25	r∫	r∫	PROPN
ap-3033	69	26	0	0	NUM
ap-3033	69	27	res	re	NOUN
ap-3033	69	28	·	·	PUNCT
ap-3033	69	29	wj	wj	PROPN
ap-3033	69	30	dr	dr	PROPN
ap-3033	69	31	=	=	PROPN
ap-3033	69	32	r∫	r∫	PROPN
ap-3033	69	33	0	0	PUNCT
ap-3033	70	1	[	[	PUNCT
ap-3033	70	2	ρ	ρ	NOUN
ap-3033	70	3	∂u	∂u	PROPN
ap-3033	70	4	∂t	∂t	PROPN
ap-3033	70	5	+	+	CCONJ
ap-3033	71	1	p	p	PROPN
ap-3033	71	2	−	−	PROPN
ap-3033	71	3	µ	µ	NUM
ap-3033	71	4	1	1	NUM
ap-3033	71	5	r	r	NOUN
ap-3033	71	6	∂	∂	NOUN
ap-3033	71	7	∂r	∂r	NOUN
ap-3033	71	8	(	(	PUNCT
ap-3033	71	9	r	r	NOUN
ap-3033	71	10	∂u	∂u	PROPN
ap-3033	71	11	∂r	∂r	NUM
ap-3033	71	12	)	)	PUNCT
ap-3033	71	13	]	]	PUNCT
ap-3033	72	1	nj(r)2πr	nj(r)2πr	PROPN
ap-3033	72	2	dr	dr	PROPN
ap-3033	72	3	=	=	PROPN
ap-3033	72	4	ρ	ρ	PROPN
ap-3033	72	5	n∑	n∑	PROPN
ap-3033	72	6	i=1	i=1	PROPN
ap-3033	72	7	∂ui	∂ui	PROPN
ap-3033	72	8	(	(	PUNCT
ap-3033	72	9	t	t	PROPN
ap-3033	72	10	)	)	PUNCT
ap-3033	72	11	∂t	∂t	PROPN
ap-3033	72	12	r∫	r∫	PROPN
ap-3033	72	13	0	0	PUNCT
ap-3033	73	1	ni(r)nj(r)2πr	ni(r)nj(r)2πr	PROPN
ap-3033	73	2	dr	dr	PROPN
ap-3033	73	3	︸	︸	PROPN
ap-3033	73	4	︷︷	︷︷	PROPN
ap-3033	73	5	︸	︸	X
ap-3033	74	1	mb	mb	ADP
ap-3033	74	2	−	−	PROPN
ap-3033	74	3	µ	µ	PROPN
ap-3033	74	4	n∑	n∑	NOUN
ap-3033	74	5	i=1	i=1	PROPN
ap-3033	74	6	ui(t	ui(t	NOUN
ap-3033	74	7	)	)	PUNCT
ap-3033	75	1	r∫	r∫	PROPN
ap-3033	75	2	0	0	NUM
ap-3033	75	3	nj(r)1	nj(r)1	PROPN
ap-3033	75	4	r	r	NOUN
ap-3033	75	5	∂	∂	NOUN
ap-3033	75	6	∂r	∂r	NOUN
ap-3033	75	7	(	(	PUNCT
ap-3033	75	8	r	r	NOUN
ap-3033	75	9	∂ni(r	∂ni(r	PROPN
ap-3033	75	10	)	)	PUNCT
ap-3033	76	1	∂r	∂r	ADJ
ap-3033	76	2	)	)	PUNCT
ap-3033	76	3	2πr	2πr	PROPN
ap-3033	76	4	dr	dr	PROPN
ap-3033	76	5	︸	︸	PROPN
ap-3033	76	6	︷︷	︷︷	PROPN
ap-3033	76	7	︸	︸	NOUN
ap-3033	77	1	kb	kb	PROPN
ap-3033	78	1	+	+	PROPN
ap-3033	78	2	p	p	PROPN
ap-3033	78	3	r∫	r∫	PROPN
ap-3033	78	4	0	0	PUNCT
ap-3033	79	1	nj(r)2πr	nj(r)2πr	PROPN
ap-3033	79	2	dr	dr	PROPN
ap-3033	79	3	︸	︸	X
ap-3033	79	4	︷︷	︷︷	PROPN
ap-3033	79	5	︸	︸	X
ap-3033	80	1	nb	nb	PROPN
ap-3033	81	1	=	=	SYM
ap-3033	82	1	0	0	PROPN
ap-3033	82	2	,	,	PUNCT
ap-3033	82	3	(	(	PUNCT
ap-3033	82	4	5	5	X
ap-3033	82	5	)	)	PUNCT
ap-3033	82	6	r∫	r∫	NOUN
ap-3033	82	7	0	0	PUNCT
ap-3033	83	1	[	[	PUNCT
ap-3033	83	2	ρ	ρ	NUM
ap-3033	83	3	1	1	NUM
ap-3033	83	4	2	2	NUM
ap-3033	83	5	∂u2	∂u2	PROPN
ap-3033	83	6	∂t	∂t	PROPN
ap-3033	84	1	+	+	CCONJ
ap-3033	84	2	up	up	ADV
ap-3033	84	3	−	−	PROPN
ap-3033	84	4	uµ	uµ	NOUN
ap-3033	84	5	1	1	NUM
ap-3033	84	6	r	r	NOUN
ap-3033	84	7	∂	∂	NOUN
ap-3033	84	8	∂r	∂r	NOUN
ap-3033	84	9	(	(	PUNCT
ap-3033	84	10	r	r	NOUN
ap-3033	84	11	∂u	∂u	PROPN
ap-3033	85	1	∂r	∂r	NUM
ap-3033	85	2	)	)	PUNCT
ap-3033	85	3	]	]	PUNCT
ap-3033	86	1	nj(r)2πr	nj(r)2πr	PROPN
ap-3033	86	2	dr	dr	PROPN
ap-3033	86	3	=	=	PROPN
ap-3033	86	4	ρ	ρ	PROPN
ap-3033	86	5	n∑	n∑	PROPN
ap-3033	86	6	i=1	i=1	PROPN
ap-3033	87	1	∂u2	∂u2	NOUN
ap-3033	87	2	i	i	PRON
ap-3033	87	3	(	(	PUNCT
ap-3033	87	4	t	t	PROPN
ap-3033	87	5	)	)	PUNCT
ap-3033	87	6	∂t	∂t	PROPN
ap-3033	87	7	r∫	r∫	PROPN
ap-3033	87	8	0	0	NUM
ap-3033	87	9	1	1	NUM
ap-3033	87	10	2n	2n	NUM
ap-3033	88	1	2	2	NUM
ap-3033	88	2	i	i	NOUN
ap-3033	88	3	(	(	PUNCT
ap-3033	88	4	r)nj(r)2πr	r)nj(r)2πr	PROPN
ap-3033	88	5	dr	dr	PROPN
ap-3033	88	6	︸	︸	SYM
ap-3033	88	7	︷︷	︷︷	PROPN
ap-3033	88	8	︸	︸	ADP
ap-3033	88	9	mk	mk	PROPN
ap-3033	88	10	−	−	PROPN
ap-3033	88	11	µ	µ	PROPN
ap-3033	88	12	n∑	n∑	NOUN
ap-3033	88	13	i=1	i=1	PROPN
ap-3033	88	14	u2	u2	PROPN
ap-3033	89	1	i	i	PROPN
ap-3033	89	2	(	(	PUNCT
ap-3033	89	3	t	t	PROPN
ap-3033	89	4	)	)	PUNCT
ap-3033	89	5	r∫	r∫	PROPN
ap-3033	89	6	0	0	NUM
ap-3033	90	1	ni(r)nj(r)1	ni(r)nj(r)1	NOUN
ap-3033	91	1	r	r	NOUN
ap-3033	91	2	∂	∂	NOUN
ap-3033	91	3	∂r	∂r	NOUN
ap-3033	91	4	(	(	PUNCT
ap-3033	91	5	r	r	NOUN
ap-3033	91	6	∂ni(r	∂ni(r	PROPN
ap-3033	91	7	)	)	PUNCT
ap-3033	92	1	∂r	∂r	ADJ
ap-3033	92	2	)	)	PUNCT
ap-3033	92	3	2πr	2πr	PROPN
ap-3033	92	4	dr	dr	PROPN
ap-3033	92	5	︸	︸	X
ap-3033	92	6	︷︷	︷︷	PROPN
ap-3033	92	7	︸	︸	X
ap-3033	92	8	kk	kk	PROPN
ap-3033	93	1	+	+	CCONJ
ap-3033	94	1	n∑	n∑	ADJ
ap-3033	94	2	i=1	i=1	PROPN
ap-3033	94	3	ui(t)p	ui(t)p	PROPN
ap-3033	94	4	r∫	r∫	PROPN
ap-3033	94	5	0	0	PUNCT
ap-3033	95	1	ni(r)nj(r)2πr	ni(r)nj(r)2πr	PROPN
ap-3033	95	2	dr	dr	PROPN
ap-3033	95	3	︸	︸	PROPN
ap-3033	95	4	︷︷	︷︷	PROPN
ap-3033	95	5	︸	︸	X
ap-3033	96	1	nk	nk	PROPN
ap-3033	96	2	=	=	PROPN
ap-3033	96	3	0	0	PROPN
ap-3033	96	4	.	.	PUNCT
ap-3033	97	1	(	(	PUNCT
ap-3033	97	2	6	6	X
ap-3033	97	3	)	)	PUNCT
ap-3033	97	4	subscript	subscript	NOUN
ap-3033	97	5	i	i	PRON
ap-3033	97	6	is	be	AUX
ap-3033	97	7	the	the	DET
ap-3033	97	8	summation	summation	NOUN
ap-3033	97	9	index	index	NOUN
ap-3033	97	10	,	,	PUNCT
ap-3033	97	11	and	and	CCONJ
ap-3033	97	12	index	index	NOUN
ap-3033	97	13	j	j	PROPN
ap-3033	97	14	corresponds	correspond	VERB
ap-3033	97	15	to	to	ADP
ap-3033	97	16	the	the	DET
ap-3033	97	17	j	j	PROPN
ap-3033	97	18	-	-	PUNCT
ap-3033	97	19	th	th	VERB
ap-3033	97	20	weight	weight	NOUN
ap-3033	97	21	function	function	NOUN
ap-3033	97	22	(	(	PUNCT
ap-3033	97	23	corresponding	correspond	VERB
ap-3033	97	24	to	to	ADP
ap-3033	97	25	the	the	DET
ap-3033	97	26	j	j	PROPN
ap-3033	97	27	-	-	PUNCT
ap-3033	97	28	th	th	VERB
ap-3033	97	29	equation	equation	NOUN
ap-3033	97	30	)	)	PUNCT
ap-3033	97	31	.	.	PUNCT
ap-3033	98	1	it	it	PRON
ap-3033	98	2	is	be	AUX
ap-3033	98	3	more	more	ADV
ap-3033	98	4	convenient	convenient	ADJ
ap-3033	98	5	to	to	PART
ap-3033	98	6	work	work	VERB
ap-3033	98	7	with	with	ADP
ap-3033	98	8	flow	flow	NOUN
ap-3033	98	9	rates	rate	NOUN
ap-3033	98	10	.	.	PUNCT
ap-3033	99	1	we	we	PRON
ap-3033	99	2	therefore	therefore	ADV
ap-3033	99	3	define	define	VERB
ap-3033	99	4	the	the	DET
ap-3033	99	5	total	total	ADJ
ap-3033	99	6	flow	flow	NOUN
ap-3033	99	7	rate	rate	NOUN
ap-3033	99	8	within	within	ADP
ap-3033	99	9	the	the	DET
ap-3033	99	10	tube	tube	NOUN
ap-3033	99	11	q(t	q(t	PROPN
ap-3033	99	12	)	)	PUNCT
ap-3033	99	13	=	=	SYM
ap-3033	100	1	2π	2π	PROPN
ap-3033	100	2	n∑	n∑	NOUN
ap-3033	100	3	i=1	i=1	PROPN
ap-3033	100	4	ui(t	ui(t	NOUN
ap-3033	100	5	)	)	PUNCT
ap-3033	101	1	r∫	r∫	PROPN
ap-3033	101	2	0	0	NUM
ap-3033	101	3	rni(r	rni(r	PROPN
ap-3033	101	4	)	)	PUNCT
ap-3033	101	5	dr	dr	PROPN
ap-3033	101	6	=	=	PUNCT
ap-3033	101	7	πr2	πr2	NOUN
ap-3033	101	8	n∑	n∑	PROPN
ap-3033	101	9	i=1	i=1	PROPN
ap-3033	101	10	ui(t	ui(t	NOUN
ap-3033	101	11	)	)	PUNCT
ap-3033	101	12	i(i+	i(i+	ADP
ap-3033	101	13	1	1	NUM
ap-3033	101	14	)	)	PUNCT
ap-3033	101	15	=	=	SYM
ap-3033	101	16	q1(t)+q2(t	q1(t)+q2(t	PROPN
ap-3033	101	17	)	)	PUNCT
ap-3033	101	18	+	+	X
ap-3033	101	19	·	·	PUNCT
ap-3033	101	20	·	·	PUNCT
ap-3033	101	21	·	·	PUNCT
ap-3033	102	1	+	+	NUM
ap-3033	102	2	qn(t).res	qn(t).re	NOUN
ap-3033	102	3	.	.	PUNCT
ap-3033	103	1	(	(	PUNCT
ap-3033	103	2	7	7	X
ap-3033	103	3	)	)	PUNCT
ap-3033	103	4	subscript	subscript	NOUN
ap-3033	103	5	i	i	NOUN
ap-3033	103	6	=	=	NOUN
ap-3033	103	7	1	1	NUM
ap-3033	103	8	corresponds	correspond	VERB
ap-3033	103	9	to	to	ADP
ap-3033	103	10	the	the	DET
ap-3033	103	11	poiseuille	poiseuille	NOUN
ap-3033	103	12	flow	flow	NOUN
ap-3033	103	13	,	,	PUNCT
ap-3033	103	14	while	while	SCONJ
ap-3033	103	15	indices	index	NOUN
ap-3033	103	16	i	i	PRON
ap-3033	103	17	≥	≥	NUM
ap-3033	103	18	2	2	NUM
ap-3033	103	19	to	to	ADP
ap-3033	103	20	n	n	NUM
ap-3033	103	21	denote	denote	NOUN
ap-3033	103	22	correction	correction	NOUN
ap-3033	103	23	functions	function	NOUN
ap-3033	103	24	that	that	PRON
ap-3033	103	25	are	be	AUX
ap-3033	103	26	able	able	ADJ
ap-3033	103	27	to	to	PART
ap-3033	103	28	describe	describe	VERB
ap-3033	103	29	more	more	ADJ
ap-3033	103	30	extrema	extrema	NOUN
ap-3033	103	31	of	of	ADP
ap-3033	103	32	the	the	DET
ap-3033	103	33	velocity	velocity	NOUN
ap-3033	103	34	profile	profile	NOUN
ap-3033	103	35	qi(t	qi(t	NOUN
ap-3033	103	36	)	)	PUNCT
ap-3033	103	37	=	=	SYM
ap-3033	103	38	2πui(t	2πui(t	X
ap-3033	103	39	)	)	PUNCT
ap-3033	103	40	r∫	r∫	NOUN
ap-3033	103	41	0	0	NUM
ap-3033	103	42	rni(r	rni(r	PROPN
ap-3033	103	43	)	)	PUNCT
ap-3033	103	44	dr	dr	PROPN
ap-3033	103	45	=	=	PUNCT
ap-3033	103	46	πr2	πr2	NOUN
ap-3033	103	47	ui(t	ui(t	NOUN
ap-3033	103	48	)	)	PUNCT
ap-3033	103	49	i(i+	i(i+	ADP
ap-3033	103	50	1	1	NUM
ap-3033	103	51	)	)	PUNCT
ap-3033	103	52	.	.	PUNCT
ap-3033	104	1	(	(	PUNCT
ap-3033	104	2	8)	8)	NUM
ap-3033	104	3	it	it	PRON
ap-3033	104	4	is	be	AUX
ap-3033	104	5	now	now	ADV
ap-3033	104	6	simple	simple	ADJ
ap-3033	104	7	to	to	PART
ap-3033	104	8	express	express	VERB
ap-3033	104	9	the	the	DET
ap-3033	104	10	velocity	velocity	NOUN
ap-3033	104	11	ui	ui	PROPN
ap-3033	104	12	(	(	PUNCT
ap-3033	104	13	t	t	PROPN
ap-3033	104	14	)	)	PUNCT
ap-3033	104	15	as	as	ADP
ap-3033	104	16	a	a	DET
ap-3033	104	17	function	function	NOUN
ap-3033	104	18	of	of	ADP
ap-3033	104	19	the	the	DET
ap-3033	104	20	flow	flow	NOUN
ap-3033	104	21	rate	rate	NOUN
ap-3033	104	22	u1	u1	NOUN
ap-3033	104	23	(	(	PUNCT
ap-3033	104	24	t	t	PROPN
ap-3033	104	25	)	)	PUNCT
ap-3033	104	26	ui	ui	NOUN
ap-3033	104	27	(	(	PUNCT
ap-3033	104	28	t	t	PROPN
ap-3033	104	29	)	)	PUNCT
ap-3033	104	30	...	...	PUNCT
ap-3033	105	1	un	un	PROPN
ap-3033	105	2	(	(	PUNCT
ap-3033	105	3	t	t	PROPN
ap-3033	105	4	)	)	PUNCT
ap-3033	105	5			PROPN
ap-3033	105	6	︸	︸	X
ap-3033	105	7	︷︷	︷︷	VERB
ap-3033	105	8	︸	︸	ADP
ap-3033	105	9	u	u	NOUN
ap-3033	105	10	=	=	SYM
ap-3033	105	11	1	1	NUM
ap-3033	105	12	πr2	πr2	NOUN
ap-3033	105	13			NOUN
ap-3033	105	14	2	2	NUM
ap-3033	105	15	−2	−2	NOUN
ap-3033	105	16	−2	−2	NOUN
ap-3033	105	17	−2	−2	NOUN
ap-3033	105	18	0	0	NUM
ap-3033	105	19	i(i+1	i(i+1	NOUN
ap-3033	105	20	)	)	PUNCT
ap-3033	105	21	·	·	PUNCT
ap-3033	105	22	·	·	PUNCT
ap-3033	105	23	·	·	PUNCT
ap-3033	105	24	0	0	NUM
ap-3033	106	1	...	...	PUNCT
ap-3033	106	2	0	0	NUM
ap-3033	106	3	.	.	PUNCT
ap-3033	106	4	.	.	PUNCT
ap-3033	107	1	.	.	PUNCT
ap-3033	108	1	0	0	NUM
ap-3033	109	1	0	0	NUM
ap-3033	109	2	0	0	NUM
ap-3033	109	3	0	0	NUM
ap-3033	109	4	n(n+1	n(n+1	NUM
ap-3033	109	5	)	)	PUNCT
ap-3033	110	1			PROPN
ap-3033	110	2	︸	︸	X
ap-3033	110	3	︷︷	︷︷	VERB
ap-3033	110	4	︸	︸	ADP
ap-3033	110	5	a	a	DET
ap-3033	110	6			PROPN
ap-3033	110	7	q	q	X
ap-3033	110	8	(	(	PUNCT
ap-3033	110	9	t	t	NOUN
ap-3033	110	10	)	)	PUNCT
ap-3033	110	11	qi	qi	PROPN
ap-3033	110	12	(	(	PUNCT
ap-3033	110	13	t	t	PROPN
ap-3033	110	14	)	)	PUNCT
ap-3033	110	15	...	...	PUNCT
ap-3033	111	1	qn	qn	INTJ
ap-3033	111	2	(	(	PUNCT
ap-3033	111	3	t	t	PROPN
ap-3033	111	4	)	)	PUNCT
ap-3033	111	5			PROPN
ap-3033	111	6	︸	︸	X
ap-3033	112	1	︷︷	︷︷	NOUN
ap-3033	112	2	︸	︸	X
ap-3033	112	3	q	q	PROPN
ap-3033	112	4	.	.	PUNCT
ap-3033	113	1	(	(	PUNCT
ap-3033	113	2	9	9	X
ap-3033	113	3	)	)	PUNCT
ap-3033	113	4	equations	equation	NOUN
ap-3033	113	5	(	(	PUNCT
ap-3033	113	6	5	5	NUM
ap-3033	113	7	)	)	PUNCT
ap-3033	113	8	and	and	CCONJ
ap-3033	113	9	(	(	PUNCT
ap-3033	113	10	6	6	X
ap-3033	113	11	)	)	PUNCT
ap-3033	113	12	can	can	AUX
ap-3033	113	13	be	be	AUX
ap-3033	113	14	rewritten	rewrite	VERB
ap-3033	113	15	in	in	ADP
ap-3033	113	16	terms	term	NOUN
ap-3033	113	17	of	of	ADP
ap-3033	113	18	the	the	DET
ap-3033	113	19	flow	flow	NOUN
ap-3033	113	20	rate	rate	NOUN
ap-3033	113	21	in	in	ADP
ap-3033	113	22	matrix	matrix	NOUN
ap-3033	113	23	notation	notation	NOUN
ap-3033	113	24	as	as	ADP
ap-3033	113	25	ρ	ρ	NUM
ap-3033	113	26	dq	dq	NOUN
ap-3033	113	27	dt	dt	NOUN
ap-3033	114	1	+	+	CCONJ
ap-3033	114	2	m−1	m−1	PROPN
ap-3033	114	3	b	b	PROPN
ap-3033	114	4	a−1nbp	a−1nbp	PROPN
ap-3033	114	5	−µm−1	−µm−1	X
ap-3033	114	6	b	b	NOUN
ap-3033	114	7	a−1kbaq	a−1kbaq	NOUN
ap-3033	114	8	=	=	SYM
ap-3033	114	9	0	0	NUM
ap-3033	114	10	,	,	PUNCT
ap-3033	114	11	(	(	PUNCT
ap-3033	114	12	10	10	NUM
ap-3033	114	13	)	)	PUNCT
ap-3033	114	14	ρ	ρ	PROPN
ap-3033	114	15	d	d	NOUN
ap-3033	114	16	dt	dt	X
ap-3033	114	17	(	(	PUNCT
ap-3033	114	18	q	q	PROPN
ap-3033	114	19	2)+m−1	2)+m−1	PROPN
ap-3033	115	1	k	k	NOUN
ap-3033	115	2	a−2nkaqp−µa−2m−1	a−2nkaqp−µa−2m−1	PROPN
ap-3033	115	3	k	k	PROPN
ap-3033	115	4	kka2q2	kka2q2	X
ap-3033	115	5	=	=	NOUN
ap-3033	115	6	0	0	NUM
ap-3033	115	7	.	.	PUNCT
ap-3033	116	1	(	(	PUNCT
ap-3033	116	2	11	11	NUM
ap-3033	116	3	)	)	PUNCT
ap-3033	116	4	let	let	VERB
ap-3033	116	5	us	we	PRON
ap-3033	116	6	restrict	restrict	VERB
ap-3033	116	7	the	the	DET
ap-3033	116	8	approximation	approximation	NOUN
ap-3033	116	9	to	to	ADP
ap-3033	116	10	the	the	DET
ap-3033	116	11	first	first	ADJ
ap-3033	116	12	term	term	NOUN
ap-3033	116	13	in	in	ADP
ap-3033	116	14	the	the	DET
ap-3033	116	15	polynomial	polynomial	ADJ
ap-3033	116	16	series	series	NOUN
ap-3033	116	17	(	(	PUNCT
ap-3033	116	18	4	4	NUM
ap-3033	116	19	)	)	PUNCT
ap-3033	116	20	(	(	PUNCT
ap-3033	116	21	parabolic	parabolic	ADJ
ap-3033	116	22	velocity	velocity	NOUN
ap-3033	116	23	profile	profile	NOUN
ap-3033	116	24	)	)	PUNCT
ap-3033	116	25	.	.	PUNCT
ap-3033	117	1	the	the	DET
ap-3033	117	2	momentum	momentum	NOUN
ap-3033	117	3	balance	balance	NOUN
ap-3033	117	4	reduces	reduce	VERB
ap-3033	117	5	into	into	ADP
ap-3033	117	6	the	the	DET
ap-3033	117	7	equation	equation	NOUN
ap-3033	117	8	ρ	ρ	NOUN
ap-3033	117	9	dq	dq	NOUN
ap-3033	117	10	dt	dt	NOUN
ap-3033	117	11	+	+	CCONJ
ap-3033	117	12	3	3	NUM
ap-3033	117	13	4pr	4pr	ADJ
ap-3033	117	14	2π	2π	NOUN
ap-3033	117	15	+	+	CCONJ
ap-3033	117	16	24	24	NUM
ap-3033	117	17	4	4	NUM
ap-3033	117	18	µ	µ	NOUN
ap-3033	117	19	r2	r2	NOUN
ap-3033	117	20	q	q	NOUN
ap-3033	118	1	=	=	SYM
ap-3033	118	2	0	0	NUM
ap-3033	118	3	(	(	PUNCT
ap-3033	118	4	12	12	NUM
ap-3033	118	5	)	)	PUNCT
ap-3033	118	6	and	and	CCONJ
ap-3033	118	7	the	the	DET
ap-3033	118	8	mechanical	mechanical	ADJ
ap-3033	118	9	energy	energy	NOUN
ap-3033	118	10	equation	equation	NOUN
ap-3033	118	11	formulated	formulate	VERB
ap-3033	118	12	from	from	ADP
ap-3033	118	13	(	(	PUNCT
ap-3033	118	14	3	3	X
ap-3033	118	15	)	)	PUNCT
ap-3033	118	16	ρ	ρ	NOUN
ap-3033	118	17	dq	dq	NOUN
ap-3033	118	18	dt	dt	NOUN
ap-3033	118	19	+	+	CCONJ
ap-3033	118	20	2	2	NUM
ap-3033	118	21	3pr	3pr	ADJ
ap-3033	118	22	2π	2π	NOUN
ap-3033	118	23	+	+	CCONJ
ap-3033	118	24	16	16	NUM
ap-3033	118	25	3	3	NUM
ap-3033	118	26	µ	µ	NOUN
ap-3033	118	27	r2	r2	NOUN
ap-3033	118	28	q	q	NOUN
ap-3033	118	29	=	=	NOUN
ap-3033	118	30	0	0	PROPN
ap-3033	118	31	.	.	PUNCT
ap-3033	119	1	(	(	PUNCT
ap-3033	119	2	13	13	NUM
ap-3033	119	3	)	)	PUNCT
ap-3033	119	4	these	these	DET
ap-3033	119	5	two	two	NUM
ap-3033	119	6	equations	equation	NOUN
ap-3033	119	7	describe	describe	VERB
ap-3033	119	8	the	the	DET
ap-3033	119	9	same	same	ADJ
ap-3033	119	10	physical	physical	ADJ
ap-3033	119	11	problem	problem	NOUN
ap-3033	119	12	.	.	PUNCT
ap-3033	120	1	however	however	ADV
ap-3033	120	2	,	,	PUNCT
ap-3033	120	3	they	they	PRON
ap-3033	120	4	are	be	AUX
ap-3033	120	5	not	not	PART
ap-3033	120	6	identical	identical	ADJ
ap-3033	120	7	as	as	SCONJ
ap-3033	120	8	they	they	PRON
ap-3033	120	9	differ	differ	VERB
ap-3033	120	10	from	from	ADP
ap-3033	120	11	each	each	DET
ap-3033	120	12	other	other	ADJ
ap-3033	120	13	by	by	ADP
ap-3033	120	14	the	the	DET
ap-3033	120	15	coefficients	coefficient	NOUN
ap-3033	120	16	.	.	PUNCT
ap-3033	121	1	the	the	DET
ap-3033	121	2	equations	equation	NOUN
ap-3033	121	3	are	be	AUX
ap-3033	121	4	identical	identical	ADJ
ap-3033	121	5	only	only	ADV
ap-3033	121	6	for	for	ADP
ap-3033	121	7	stationary	stationary	ADJ
ap-3033	121	8	flow	flow	NOUN
ap-3033	121	9	,	,	PUNCT
ap-3033	121	10	and	and	CCONJ
ap-3033	121	11	both	both	PRON
ap-3033	121	12	lead	lead	VERB
ap-3033	121	13	to	to	ADP
ap-3033	121	14	hagen	hagen	NOUN
ap-3033	121	15	-	-	PUNCT
ap-3033	121	16	poiseuille	poiseuille	NOUN
ap-3033	121	17	flow	flow	NOUN
ap-3033	121	18	.	.	PUNCT
ap-3033	122	1	the	the	DET
ap-3033	122	2	reader	reader	NOUN
ap-3033	122	3	has	have	VERB
ap-3033	122	4	to	to	PART
ap-3033	122	5	ask	ask	VERB
ap-3033	122	6	himself	himself	PRON
ap-3033	122	7	which	which	PRON
ap-3033	122	8	of	of	ADP
ap-3033	122	9	the	the	DET
ap-3033	122	10	equations	equation	NOUN
ap-3033	122	11	–	–	PUNCT
ap-3033	122	12	(	(	PUNCT
ap-3033	122	13	12	12	NUM
ap-3033	122	14	)	)	PUNCT
ap-3033	122	15	or	or	CCONJ
ap-3033	122	16	(	(	PUNCT
ap-3033	122	17	13	13	NUM
ap-3033	122	18	)	)	PUNCT
ap-3033	122	19	–	–	PUNCT
ap-3033	122	20	provides	provide	VERB
ap-3033	122	21	a	a	DET
ap-3033	122	22	better	well	ADJ
ap-3033	122	23	description	description	NOUN
ap-3033	122	24	of	of	ADP
ap-3033	122	25	the	the	DET
ap-3033	122	26	real	real	ADJ
ap-3033	122	27	movement	movement	NOUN
ap-3033	122	28	of	of	ADP
ap-3033	122	29	a	a	DET
ap-3033	122	30	fluid	fluid	NOUN
ap-3033	122	31	.	.	PUNCT
ap-3033	123	1	however	however	ADV
ap-3033	123	2	,	,	PUNCT
ap-3033	123	3	the	the	DET
ap-3033	123	4	answer	answer	NOUN
ap-3033	123	5	to	to	ADP
ap-3033	123	6	this	this	DET
ap-3033	123	7	question	question	NOUN
ap-3033	123	8	is	be	AUX
ap-3033	123	9	left	leave	VERB
ap-3033	123	10	until	until	SCONJ
ap-3033	123	11	an	an	DET
ap-3033	123	12	analysis	analysis	NOUN
ap-3033	123	13	of	of	ADP
ap-3033	123	14	the	the	DET
ap-3033	123	15	test	test	NOUN
ap-3033	123	16	examples	example	NOUN
ap-3033	123	17	has	have	AUX
ap-3033	123	18	been	be	AUX
ap-3033	123	19	made	make	VERB
ap-3033	123	20	.	.	PUNCT
ap-3033	124	1	we	we	PRON
ap-3033	124	2	consider	consider	VERB
ap-3033	124	3	the	the	DET
ap-3033	124	4	velocity	velocity	NOUN
ap-3033	124	5	profile	profile	NOUN
ap-3033	124	6	as	as	ADP
ap-3033	124	7	the	the	DET
ap-3033	124	8	fourth	fourth	ADJ
ap-3033	124	9	order	order	NOUN
ap-3033	124	10	polynomial	polynomial	ADJ
ap-3033	124	11	function	function	NOUN
ap-3033	124	12	(	(	PUNCT
ap-3033	124	13	the	the	DET
ap-3033	124	14	first	first	ADJ
ap-3033	124	15	basis	basis	NOUN
ap-3033	124	16	function	function	NOUN
ap-3033	124	17	describes	describe	VERB
ap-3033	124	18	the	the	DET
ap-3033	124	19	poiseuille	poiseuille	NOUN
ap-3033	124	20	flow	flow	NOUN
ap-3033	124	21	,	,	PUNCT
ap-3033	124	22	and	and	CCONJ
ap-3033	124	23	the	the	DET
ap-3033	124	24	second	second	ADJ
ap-3033	124	25	basis	basis	NOUN
ap-3033	124	26	function	function	NOUN
ap-3033	124	27	describes	describe	VERB
ap-3033	124	28	101	101	NUM
ap-3033	124	29	d.	d.	PROPN
ap-3033	124	30	hromádka	hromádka	PROPN
ap-3033	124	31	,	,	PUNCT
ap-3033	124	32	h.	h.	PROPN
ap-3033	124	33	chlup	chlup	PROPN
ap-3033	124	34	,	,	PUNCT
ap-3033	124	35	r.	r.	PROPN
ap-3033	124	36	žitný	žitný	PROPN
ap-3033	124	37	acta	acta	PROPN
ap-3033	124	38	polytechnica	polytechnica	PROPN
ap-3033	124	39	the	the	DET
ap-3033	124	40	reverse	reverse	ADJ
ap-3033	124	41	flow	flow	NOUN
ap-3033	124	42	,	,	PUNCT
ap-3033	124	43	the	the	DET
ap-3033	124	44	backflow	backflow	NOUN
ap-3033	124	45	in	in	ADP
ap-3033	124	46	the	the	DET
ap-3033	124	47	vicinity	vicinity	NOUN
ap-3033	124	48	of	of	ADP
ap-3033	124	49	the	the	DET
ap-3033	124	50	wall	wall	NOUN
ap-3033	124	51	)	)	PUNCT
ap-3033	125	1	u(r	u(r	PROPN
ap-3033	125	2	,	,	PUNCT
ap-3033	125	3	t	t	PROPN
ap-3033	125	4	)	)	PUNCT
ap-3033	125	5	=	=	SYM
ap-3033	126	1	u1(t	u1(t	PROPN
ap-3033	126	2	)	)	PUNCT
ap-3033	126	3	(	(	PUNCT
ap-3033	126	4	1	1	NUM
ap-3033	126	5	−	−	PROPN
ap-3033	126	6	r2	r2	NOUN
ap-3033	126	7	r2	r2	PROPN
ap-3033	126	8	)	)	PUNCT
ap-3033	126	9	+	+	PUNCT
ap-3033	126	10	u2(t	u2(t	NOUN
ap-3033	126	11	)	)	PUNCT
ap-3033	126	12	(	(	PUNCT
ap-3033	126	13	r2	r2	PROPN
ap-3033	126	14	r2	r2	PROPN
ap-3033	126	15	−	−	PROPN
ap-3033	126	16	r4	r4	PROPN
ap-3033	126	17	r4	r4	PROPN
ap-3033	126	18	)	)	PUNCT
ap-3033	126	19	.	.	PUNCT
ap-3033	127	1	(	(	PUNCT
ap-3033	127	2	14	14	NUM
ap-3033	127	3	)	)	PUNCT
ap-3033	127	4	equations	equation	NOUN
ap-3033	127	5	(	(	PUNCT
ap-3033	127	6	9	9	NUM
ap-3033	127	7	)	)	PUNCT
ap-3033	127	8	,	,	PUNCT
ap-3033	127	9	(	(	PUNCT
ap-3033	127	10	10	10	NUM
ap-3033	127	11	)	)	PUNCT
ap-3033	127	12	were	be	AUX
ap-3033	127	13	applied	apply	VERB
ap-3033	127	14	to	to	ADP
ap-3033	127	15	(	(	PUNCT
ap-3033	127	16	14	14	NUM
ap-3033	127	17	)	)	PUNCT
ap-3033	127	18	,	,	PUNCT
ap-3033	127	19	and	and	CCONJ
ap-3033	127	20	this	this	PRON
ap-3033	127	21	leads	lead	VERB
ap-3033	127	22	to	to	ADP
ap-3033	127	23	a	a	DET
ap-3033	127	24	system	system	NOUN
ap-3033	127	25	of	of	ADP
ap-3033	127	26	ode	ode	PROPN
ap-3033	127	27	’s	’s	NOUN
ap-3033	127	28	.	.	PUNCT
ap-3033	128	1	after	after	ADP
ap-3033	128	2	a	a	DET
ap-3033	128	3	simple	simple	ADJ
ap-3033	128	4	manipulation	manipulation	NOUN
ap-3033	128	5	we	we	PRON
ap-3033	128	6	obtain	obtain	VERB
ap-3033	128	7	a	a	DET
ap-3033	128	8	standard	standard	ADJ
ap-3033	128	9	formulation	formulation	NOUN
ap-3033	128	10	of	of	ADP
ap-3033	128	11	the	the	DET
ap-3033	128	12	momentum	momentum	NOUN
ap-3033	128	13	balance	balance	NOUN
ap-3033	128	14	for	for	ADP
ap-3033	128	15	the	the	DET
ap-3033	128	16	flow	flow	NOUN
ap-3033	128	17	rates	rate	NOUN
ap-3033	128	18	ρ	ρ	NOUN
ap-3033	128	19			NOUN
ap-3033	129	1	dq	dq	NUM
ap-3033	129	2	dt	dt	X
ap-3033	129	3	dq2	dq2	NOUN
ap-3033	129	4	dt	dt	X
ap-3033	129	5	+	+	NOUN
ap-3033	130	1	πr2	πr2	NOUN
ap-3033	130	2	8	8	PROPN
ap-3033	130	3	9	9	NUM
ap-3033	130	4	5	5	NUM
ap-3033	130	5	9	9	NUM
ap-3033	130	6	p	p	X
ap-3033	130	7	+	+	CCONJ
ap-3033	130	8	µ	µ	PRON
ap-3033	130	9	r2	r2	PROPN
ap-3033	130	10	64	64	NOUN
ap-3033	130	11	9	9	NUM
ap-3033	130	12	80	80	NUM
ap-3033	130	13	9	9	NUM
ap-3033	130	14	40	40	NUM
ap-3033	130	15	9	9	NUM
ap-3033	130	16	320	320	NUM
ap-3033	130	17	9	9	NUM
ap-3033	130	18			NOUN
ap-3033	130	19	(	(	PUNCT
ap-3033	130	20	q	q	NOUN
ap-3033	130	21	q2	q2	NOUN
ap-3033	130	22	)	)	PUNCT
ap-3033	131	1	=	=	PUNCT
ap-3033	131	2	0	0	X
ap-3033	131	3	.	.	PUNCT
ap-3033	131	4	(	(	PUNCT
ap-3033	131	5	15	15	NUM
ap-3033	131	6	)	)	PUNCT
ap-3033	131	7	and	and	CCONJ
ap-3033	131	8	by	by	ADP
ap-3033	131	9	applying	apply	VERB
ap-3033	131	10	(	(	PUNCT
ap-3033	131	11	9	9	NUM
ap-3033	131	12	)	)	PUNCT
ap-3033	131	13	,	,	PUNCT
ap-3033	131	14	(	(	PUNCT
ap-3033	131	15	11	11	NUM
ap-3033	131	16	)	)	PUNCT
ap-3033	131	17	,	,	PUNCT
ap-3033	131	18	respectively	respectively	ADV
ap-3033	131	19	,	,	PUNCT
ap-3033	131	20	to	to	ADP
ap-3033	131	21	the	the	DET
ap-3033	131	22	velocity	velocity	NOUN
ap-3033	131	23	profile	profile	NOUN
ap-3033	131	24	mentioned	mention	VERB
ap-3033	131	25	above	above	ADV
ap-3033	131	26	,	,	PUNCT
ap-3033	131	27	we	we	PRON
ap-3033	131	28	obtain	obtain	VERB
ap-3033	131	29	the	the	DET
ap-3033	131	30	formulation	formulation	NOUN
ap-3033	131	31	of	of	ADP
ap-3033	131	32	kinetic	kinetic	ADJ
ap-3033	131	33	energy	energy	NOUN
ap-3033	131	34	for	for	ADP
ap-3033	131	35	the	the	DET
ap-3033	131	36	flow	flow	NOUN
ap-3033	131	37	rates	rate	NOUN
ap-3033	131	38	ρ	ρ	NOUN
ap-3033	131	39			NOUN
ap-3033	132	1	dq	dq	NUM
ap-3033	132	2	dt	dt	X
ap-3033	132	3	dq2	dq2	NOUN
ap-3033	132	4	dt	dt	X
ap-3033	132	5	+	+	NOUN
ap-3033	132	6	πr2	πr2	VERB
ap-3033	132	7			NOUN
ap-3033	132	8	1	1	NUM
ap-3033	132	9	6	6	NUM
ap-3033	132	10	8q2q	8q2q	NOUN
ap-3033	132	11	+	+	CCONJ
ap-3033	133	1	12q2	12q2	NUM
ap-3033	133	2	2	2	NUM
ap-3033	133	3	−	−	PROPN
ap-3033	133	4	35q2	35q2	NUM
ap-3033	133	5	2q2	2q2	NUM
ap-3033	133	6	2	2	NUM
ap-3033	133	7	+	+	CCONJ
ap-3033	133	8	2q2q	2q2q	NUM
ap-3033	134	1	−	−	NOUN
ap-3033	134	2	7q2	7q2	NUM
ap-3033	134	3	7	7	NUM
ap-3033	134	4	12	12	NUM
ap-3033	134	5	−5q2	−5q2	PUNCT
ap-3033	135	1	+	+	NUM
ap-3033	135	2	2q2	2q2	NUM
ap-3033	135	3	2	2	NUM
ap-3033	135	4	2q2	2q2	NUM
ap-3033	135	5	2	2	NUM
ap-3033	136	1	+	+	CCONJ
ap-3033	136	2	2q2q	2q2q	NUM
ap-3033	137	1	−	−	NOUN
ap-3033	137	2	7q2	7q2	NUM
ap-3033	137	3	p+	p+	NUM
ap-3033	137	4	µ	µ	PRON
ap-3033	137	5	r2	r2	NOUN
ap-3033	137	6			ADJ
ap-3033	137	7	4	4	NUM
ap-3033	137	8	3	3	NUM
ap-3033	137	9	−20q2q	−20q2q	PROPN
ap-3033	137	10	2	2	NUM
ap-3033	137	11	+	+	NOUN
ap-3033	137	12	24q3	24q3	NUM
ap-3033	137	13	2	2	NUM
ap-3033	137	14	+4q2	+4q2	NOUN
ap-3033	137	15	2q−35q3	2q−35q3	NUM
ap-3033	137	16	2q2	2q2	NUM
ap-3033	137	17	2	2	NUM
ap-3033	137	18	+2q2q−7q2	+2q2q−7q2	NOUN
ap-3033	137	19	14	14	NUM
ap-3033	137	20	3	3	NUM
ap-3033	137	21	−5q3	−5q3	PUNCT
ap-3033	137	22	+	+	NOUN
ap-3033	137	23	2q2	2q2	NUM
ap-3033	137	24	2q−40q2q	2q−40q2q	NUM
ap-3033	137	25	2	2	NUM
ap-3033	137	26	+	+	NOUN
ap-3033	137	27	16q3	16q3	NUM
ap-3033	137	28	2	2	NUM
ap-3033	137	29	2q2	2q2	NUM
ap-3033	137	30	2	2	NUM
ap-3033	137	31	+2q2q−7q2	+2q2q−7q2	NOUN
ap-3033	137	32			NOUN
ap-3033	137	33	=	=	SYM
ap-3033	137	34	0	0	X
ap-3033	137	35	.	.	PUNCT
ap-3033	138	1	(	(	PUNCT
ap-3033	138	2	16	16	NUM
ap-3033	138	3	)	)	PUNCT
ap-3033	138	4	the	the	DET
ap-3033	138	5	reader	reader	NOUN
ap-3033	138	6	will	will	AUX
ap-3033	138	7	notice	notice	VERB
ap-3033	138	8	that	that	SCONJ
ap-3033	138	9	the	the	DET
ap-3033	138	10	system	system	NOUN
ap-3033	138	11	of	of	ADP
ap-3033	138	12	equations	equation	NOUN
ap-3033	138	13	(	(	PUNCT
ap-3033	138	14	15	15	NUM
ap-3033	138	15	)	)	PUNCT
ap-3033	138	16	and	and	CCONJ
ap-3033	138	17	(	(	PUNCT
ap-3033	138	18	16	16	NUM
ap-3033	138	19	)	)	PUNCT
ap-3033	138	20	deals	deal	NOUN
ap-3033	138	21	with	with	ADP
ap-3033	138	22	greater	great	ADJ
ap-3033	138	23	differences	difference	NOUN
ap-3033	138	24	than	than	ADP
ap-3033	138	25	for	for	ADP
ap-3033	138	26	(	(	PUNCT
ap-3033	138	27	12	12	NUM
ap-3033	138	28	)	)	PUNCT
ap-3033	138	29	and	and	CCONJ
ap-3033	138	30	(	(	PUNCT
ap-3033	138	31	13	13	NUM
ap-3033	138	32	)	)	PUNCT
ap-3033	138	33	.	.	PUNCT
ap-3033	139	1	ordinary	ordinary	ADJ
ap-3033	139	2	differential	differential	ADJ
ap-3033	139	3	equations	equation	NOUN
ap-3033	139	4	(	(	PUNCT
ap-3033	139	5	15	15	NUM
ap-3033	139	6	)	)	PUNCT
ap-3033	139	7	are	be	AUX
ap-3033	139	8	linear	linear	ADJ
ap-3033	139	9	,	,	PUNCT
ap-3033	139	10	while	while	SCONJ
ap-3033	139	11	(	(	PUNCT
ap-3033	139	12	16	16	NUM
ap-3033	139	13	)	)	PUNCT
ap-3033	139	14	is	be	AUX
ap-3033	139	15	a	a	DET
ap-3033	139	16	system	system	NOUN
ap-3033	139	17	of	of	ADP
ap-3033	139	18	nonlinear	nonlinear	ADJ
ap-3033	139	19	differential	differential	ADJ
ap-3033	139	20	equations	equation	NOUN
ap-3033	139	21	.	.	PUNCT
ap-3033	140	1	systems	system	NOUN
ap-3033	140	2	(	(	PUNCT
ap-3033	140	3	12	12	NUM
ap-3033	140	4	)	)	PUNCT
ap-3033	140	5	,	,	PUNCT
ap-3033	140	6	(	(	PUNCT
ap-3033	140	7	13	13	NUM
ap-3033	140	8	)	)	PUNCT
ap-3033	140	9	,	,	PUNCT
ap-3033	140	10	or	or	CCONJ
ap-3033	140	11	(	(	PUNCT
ap-3033	140	12	15	15	NUM
ap-3033	140	13	)	)	PUNCT
ap-3033	140	14	,	,	PUNCT
ap-3033	140	15	(	(	PUNCT
ap-3033	140	16	16	16	NUM
ap-3033	140	17	)	)	PUNCT
ap-3033	140	18	can	can	AUX
ap-3033	140	19	be	be	AUX
ap-3033	140	20	solved	solve	VERB
ap-3033	140	21	with	with	ADP
ap-3033	140	22	the	the	DET
ap-3033	140	23	matlab	matlab	PROPN
ap-3033	140	24	ode	ode	PROPN
ap-3033	140	25	toolbox	toolbox	NOUN
ap-3033	140	26	for	for	ADP
ap-3033	140	27	an	an	DET
ap-3033	140	28	arbitrary	arbitrary	ADJ
ap-3033	140	29	time	time	NOUN
ap-3033	140	30	course	course	NOUN
ap-3033	140	31	of	of	ADP
ap-3033	140	32	p	p	PROPN
ap-3033	140	33	(	(	PUNCT
ap-3033	140	34	t	t	PROPN
ap-3033	140	35	)	)	PUNCT
ap-3033	140	36	(	(	PUNCT
ap-3033	140	37	continuous	continuous	ADJ
ap-3033	140	38	as	as	ADV
ap-3033	140	39	well	well	ADV
ap-3033	140	40	as	as	ADP
ap-3033	140	41	discontinuous	discontinuous	ADJ
ap-3033	140	42	pressure	pressure	NOUN
ap-3033	140	43	gradients	gradient	NOUN
ap-3033	140	44	)	)	PUNCT
ap-3033	140	45	and	and	CCONJ
ap-3033	140	46	for	for	ADP
ap-3033	140	47	arbitrary	arbitrary	ADJ
ap-3033	140	48	initial	initial	ADJ
ap-3033	140	49	conditions	condition	NOUN
ap-3033	140	50	prescribed	prescribe	VERB
ap-3033	140	51	in	in	ADP
ap-3033	140	52	the	the	DET
ap-3033	140	53	form	form	NOUN
ap-3033	140	54	of	of	ADP
ap-3033	140	55	the	the	DET
ap-3033	140	56	total	total	ADJ
ap-3033	140	57	flow	flow	NOUN
ap-3033	140	58	rate	rate	NOUN
ap-3033	140	59	q	q	NOUN
ap-3033	140	60	and	and	CCONJ
ap-3033	140	61	the	the	DET
ap-3033	140	62	reverse	reverse	ADJ
ap-3033	140	63	flow	flow	NOUN
ap-3033	140	64	rate	rate	NOUN
ap-3033	140	65	q2	q2	NOUN
ap-3033	140	66	at	at	ADP
ap-3033	140	67	time	time	NOUN
ap-3033	140	68	zero	zero	NUM
ap-3033	140	69	.	.	PUNCT
ap-3033	141	1	2.2	2.2	NUM
ap-3033	141	2	.	.	PUNCT
ap-3033	142	1	test	test	NOUN
ap-3033	142	2	example	example	NOUN
ap-3033	142	3	differences	difference	NOUN
ap-3033	142	4	between	between	ADP
ap-3033	142	5	the	the	DET
ap-3033	142	6	solution	solution	NOUN
ap-3033	142	7	of	of	ADP
ap-3033	142	8	the	the	DET
ap-3033	142	9	flow	flow	NOUN
ap-3033	142	10	rate	rate	NOUN
ap-3033	142	11	realized	realize	VERB
ap-3033	142	12	by	by	ADP
ap-3033	142	13	the	the	DET
ap-3033	142	14	finite	finite	ADJ
ap-3033	142	15	difference	difference	NOUN
ap-3033	142	16	method	method	NOUN
ap-3033	142	17	qfd	qfd	NOUN
ap-3033	142	18	with	with	ADP
ap-3033	142	19	a	a	DET
ap-3033	142	20	very	very	ADV
ap-3033	142	21	fine	fine	ADJ
ap-3033	142	22	mesh	mesh	NOUN
ap-3033	142	23	(	(	PUNCT
ap-3033	142	24	an	an	DET
ap-3033	142	25	implicit	implicit	ADJ
ap-3033	142	26	method	method	NOUN
ap-3033	142	27	with	with	ADP
ap-3033	142	28	a	a	DET
ap-3033	142	29	central	central	ADJ
ap-3033	142	30	difference	difference	NOUN
ap-3033	142	31	scheme	scheme	NOUN
ap-3033	142	32	)	)	PUNCT
ap-3033	142	33	,	,	PUNCT
ap-3033	142	34	the	the	DET
ap-3033	142	35	standard	standard	ADJ
ap-3033	142	36	balance	balance	NOUN
ap-3033	142	37	momentum	momentum	NOUN
ap-3033	142	38	(	(	PUNCT
ap-3033	142	39	12	12	NUM
ap-3033	142	40	)	)	PUNCT
ap-3033	142	41	,	,	PUNCT
ap-3033	142	42	the	the	DET
ap-3033	142	43	mechanical	mechanical	ADJ
ap-3033	142	44	energy	energy	NOUN
ap-3033	142	45	equation	equation	NOUN
ap-3033	142	46	(	(	PUNCT
ap-3033	142	47	13	13	NUM
ap-3033	142	48	)	)	PUNCT
ap-3033	142	49	and	and	CCONJ
ap-3033	142	50	the	the	DET
ap-3033	142	51	proposed	propose	VERB
ap-3033	142	52	two	two	NUM
ap-3033	142	53	-	-	PUNCT
ap-3033	142	54	equation	equation	NOUN
ap-3033	142	55	approximations	approximation	NOUN
ap-3033	142	56	(	(	PUNCT
ap-3033	142	57	15	15	NUM
ap-3033	142	58	)	)	PUNCT
ap-3033	142	59	,	,	PUNCT
ap-3033	142	60	(	(	PUNCT
ap-3033	142	61	16	16	NUM
ap-3033	142	62	)	)	PUNCT
ap-3033	142	63	were	be	AUX
ap-3033	142	64	tested	test	VERB
ap-3033	142	65	using	use	VERB
ap-3033	142	66	the	the	DET
ap-3033	142	67	model	model	NOUN
ap-3033	142	68	with	with	ADP
ap-3033	142	69	harmonic	harmonic	ADJ
ap-3033	142	70	driving	driving	NOUN
ap-3033	142	71	force	force	NOUN
ap-3033	142	72	(	(	PUNCT
ap-3033	142	73	pressure	pressure	NOUN
ap-3033	142	74	gradient	gradient	NOUN
ap-3033	142	75	p	p	PROPN
ap-3033	142	76	(	(	PUNCT
ap-3033	142	77	t	t	PROPN
ap-3033	142	78	)	)	PUNCT
ap-3033	142	79	)	)	PUNCT
ap-3033	142	80	,	,	PUNCT
ap-3033	142	81	consisting	consist	VERB
ap-3033	142	82	of	of	ADP
ap-3033	142	83	a	a	DET
ap-3033	142	84	stationary	stationary	ADJ
ap-3033	142	85	part	part	NOUN
ap-3033	142	86	pstat	pstat	NOUN
ap-3033	142	87	=	=	X
ap-3033	142	88	−100	−100	NOUN
ap-3033	142	89	pa	pa	PROPN
ap-3033	142	90	m−1	m−1	PROPN
ap-3033	142	91	and	and	CCONJ
ap-3033	142	92	an	an	DET
ap-3033	142	93	oscillatory	oscillatory	ADJ
ap-3033	142	94	part	part	NOUN
ap-3033	142	95	pamp	pamp	NOUN
ap-3033	142	96	=	=	NOUN
ap-3033	143	1	−500	−500	NOUN
ap-3033	143	2	pa	pa	PROPN
ap-3033	143	3	m−1	m−1	PROPN
ap-3033	143	4	in	in	ADP
ap-3033	143	5	a	a	DET
ap-3033	143	6	rigid	rigid	ADJ
ap-3033	143	7	tube	tube	NOUN
ap-3033	143	8	of	of	ADP
ap-3033	143	9	constant	constant	ADJ
ap-3033	143	10	radius	radius	NOUN
ap-3033	143	11	r	r	NOUN
ap-3033	143	12	=	=	SYM
ap-3033	143	13	2	2	NUM
ap-3033	143	14	mm	mm	NOUN
ap-3033	143	15	p	p	PROPN
ap-3033	143	16	(	(	PUNCT
ap-3033	143	17	t	t	NOUN
ap-3033	143	18	)	)	PUNCT
ap-3033	143	19	=	=	NOUN
ap-3033	144	1	pstat	pstat	PROPN
ap-3033	144	2	+	+	CCONJ
ap-3033	144	3	pamp	pamp	NOUN
ap-3033	144	4	sin(ωt	sin(ωt	NOUN
ap-3033	144	5	)	)	PUNCT
ap-3033	144	6	.	.	PUNCT
ap-3033	145	1	(	(	PUNCT
ap-3033	145	2	17	17	NUM
ap-3033	145	3	)	)	PUNCT
ap-3033	145	4	stationary	stationary	ADJ
ap-3033	145	5	flow	flow	NOUN
ap-3033	145	6	is	be	AUX
ap-3033	145	7	assumed	assume	VERB
ap-3033	145	8	at	at	ADP
ap-3033	145	9	time	time	NOUN
ap-3033	145	10	t	t	PROPN
ap-3033	145	11	=	=	SYM
ap-3033	145	12	0	0	PUNCT
ap-3033	145	13	as	as	ADP
ap-3033	145	14	initial	initial	ADJ
ap-3033	145	15	conditions	condition	NOUN
ap-3033	145	16	,	,	PUNCT
ap-3033	145	17	therefore	therefore	ADV
ap-3033	145	18	q(0	q(0	PROPN
ap-3033	145	19	)	)	PUNCT
ap-3033	146	1	=	=	PUNCT
ap-3033	147	1	−πr4	−πr4	X
ap-3033	147	2	8µ	8µ	NUM
ap-3033	147	3	p	p	NOUN
ap-3033	147	4	(	(	PUNCT
ap-3033	147	5	0	0	NUM
ap-3033	147	6	)	)	PUNCT
ap-3033	147	7	,	,	PUNCT
ap-3033	147	8	q2	q2	NOUN
ap-3033	147	9	(	(	PUNCT
ap-3033	147	10	0	0	NUM
ap-3033	147	11	)	)	PUNCT
ap-3033	147	12	=	=	SYM
ap-3033	147	13	0	0	X
ap-3033	147	14	.	.	PUNCT
ap-3033	147	15	(	(	PUNCT
ap-3033	147	16	18	18	NUM
ap-3033	147	17	)	)	PUNCT
ap-3033	147	18	the	the	DET
ap-3033	147	19	frequency	frequency	NOUN
ap-3033	147	20	ω	ω	PROPN
ap-3033	147	21	can	can	AUX
ap-3033	147	22	be	be	AUX
ap-3033	147	23	expressed	express	VERB
ap-3033	147	24	in	in	ADP
ap-3033	147	25	a	a	DET
ap-3033	147	26	dimensionless	dimensionless	NOUN
ap-3033	147	27	form	form	NOUN
ap-3033	147	28	either	either	CCONJ
ap-3033	147	29	strouhal	strouhal	NOUN
ap-3033	147	30	or	or	CCONJ
ap-3033	147	31	womersley	womersley	ADJ
ap-3033	147	32	number	number	NOUN
ap-3033	147	33	α	α	NOUN
ap-3033	147	34	α	α	NOUN
ap-3033	148	1	=	=	SYM
ap-3033	148	2	r	r	NOUN
ap-3033	148	3	√	√	NUM
ap-3033	148	4	ωρ	ωρ	NUM
ap-3033	148	5	µ	µ	PROPN
ap-3033	148	6	.	.	PUNCT
ap-3033	149	1	(	(	PUNCT
ap-3033	149	2	19	19	NUM
ap-3033	149	3	)	)	PUNCT
ap-3033	149	4	2.3	2.3	NUM
ap-3033	149	5	.	.	PUNCT
ap-3033	150	1	determining	determine	VERB
ap-3033	150	2	the	the	DET
ap-3033	150	3	deviation	deviation	NOUN
ap-3033	150	4	the	the	DET
ap-3033	150	5	deviation	deviation	NOUN
ap-3033	150	6	(	(	PUNCT
ap-3033	150	7	20	20	NUM
ap-3033	150	8	)	)	PUNCT
ap-3033	150	9	is	be	AUX
ap-3033	150	10	computed	compute	VERB
ap-3033	150	11	as	as	ADP
ap-3033	150	12	the	the	DET
ap-3033	150	13	standard	standard	ADJ
ap-3033	150	14	euclidean	euclidean	ADJ
ap-3033	150	15	norm	norm	NOUN
ap-3033	150	16	of	of	ADP
ap-3033	150	17	two	two	NUM
ap-3033	150	18	flow	flow	NOUN
ap-3033	150	19	functions	function	NOUN
ap-3033	150	20	,	,	PUNCT
ap-3033	150	21	which	which	PRON
ap-3033	150	22	is	be	AUX
ap-3033	150	23	calculated	calculate	VERB
ap-3033	150	24	from	from	ADP
ap-3033	150	25	the	the	DET
ap-3033	150	26	finite	finite	ADJ
ap-3033	150	27	difference	difference	NOUN
ap-3033	150	28	method	method	NOUN
ap-3033	150	29	and	and	CCONJ
ap-3033	150	30	from	from	ADP
ap-3033	150	31	the	the	DET
ap-3033	150	32	flow	flow	NOUN
ap-3033	150	33	rate	rate	NOUN
ap-3033	150	34	using	use	VERB
ap-3033	150	35	the	the	DET
ap-3033	150	36	equation	equation	NOUN
ap-3033	150	37	(	(	PUNCT
ap-3033	150	38	12	12	NUM
ap-3033	150	39	)	)	PUNCT
ap-3033	150	40	,	,	PUNCT
ap-3033	150	41	(	(	PUNCT
ap-3033	150	42	15	15	NUM
ap-3033	150	43	)	)	PUNCT
ap-3033	150	44	,	,	PUNCT
ap-3033	150	45	(	(	PUNCT
ap-3033	150	46	13	13	NUM
ap-3033	150	47	)	)	PUNCT
ap-3033	150	48	,	,	PUNCT
ap-3033	150	49	(	(	PUNCT
ap-3033	150	50	16	16	NUM
ap-3033	150	51	)	)	PUNCT
ap-3033	150	52	,	,	PUNCT
ap-3033	150	53	respectively	respectively	ADV
ap-3033	150	54	,	,	PUNCT
ap-3033	150	55	and	and	CCONJ
ap-3033	150	56	which	which	PRON
ap-3033	150	57	are	be	AUX
ap-3033	150	58	integrated	integrate	VERB
ap-3033	150	59	over	over	ADP
ap-3033	150	60	time	time	NOUN
ap-3033	150	61	with	with	ADP
ap-3033	150	62	the	the	DET
ap-3033	150	63	period	period	NOUN
ap-3033	150	64	t	t	NOUN
ap-3033	150	65	=	=	PUNCT
ap-3033	150	66	2π	2π	NOUN
ap-3033	150	67	/	/	SYM
ap-3033	150	68	ω	ω	NUM
ap-3033	150	69	error	error	NOUN
ap-3033	150	70	=	=	SYM
ap-3033	150	71			PROPN
ap-3033	150	72	1	1	NUM
ap-3033	150	73	t	t	NOUN
ap-3033	150	74	t∫	t∫	NOUN
ap-3033	150	75	0	0	PUNCT
ap-3033	151	1	(	(	PUNCT
ap-3033	151	2	q(t	q(t	ADJ
ap-3033	151	3	)	)	PUNCT
ap-3033	151	4	−	−	PROPN
ap-3033	151	5	q(t)fd)2	q(t)fd)2	PROPN
ap-3033	151	6	max	max	PROPN
ap-3033	151	7	(	(	PUNCT
ap-3033	151	8	q(t)2	q(t)2	NOUN
ap-3033	151	9	fd	fd	PROPN
ap-3033	151	10	)	)	PUNCT
ap-3033	151	11	dt	dt	ADP
ap-3033	151	12			NOUN
ap-3033	151	13	1	1	NUM
ap-3033	151	14	2	2	NUM
ap-3033	151	15	.	.	PUNCT
ap-3033	152	1	(	(	PUNCT
ap-3033	152	2	20	20	NUM
ap-3033	152	3	)	)	PUNCT
ap-3033	152	4	the	the	DET
ap-3033	152	5	error	error	NOUN
ap-3033	152	6	defined	define	VERB
ap-3033	152	7	in	in	ADP
ap-3033	152	8	this	this	DET
ap-3033	152	9	way	way	NOUN
ap-3033	152	10	is	be	AUX
ap-3033	152	11	dimensionless	dimensionless	NOUN
ap-3033	152	12	,	,	PUNCT
ap-3033	152	13	and	and	CCONJ
ap-3033	152	14	it	it	PRON
ap-3033	152	15	is	be	AUX
ap-3033	152	16	a	a	DET
ap-3033	152	17	suitable	suitable	ADJ
ap-3033	152	18	measure	measure	NOUN
ap-3033	152	19	for	for	ADP
ap-3033	152	20	deviations	deviation	NOUN
ap-3033	152	21	in	in	ADP
ap-3033	152	22	the	the	DET
ap-3033	152	23	total	total	ADJ
ap-3033	152	24	calculated	calculate	VERB
ap-3033	152	25	flow	flow	NOUN
ap-3033	152	26	rates	rate	NOUN
ap-3033	152	27	and	and	CCONJ
ap-3033	152	28	also	also	ADV
ap-3033	152	29	in	in	ADP
ap-3033	152	30	the	the	DET
ap-3033	152	31	back	back	ADJ
ap-3033	152	32	flow	flow	NOUN
ap-3033	152	33	rates	rate	NOUN
ap-3033	152	34	.	.	PUNCT
ap-3033	153	1	2.4	2.4	NUM
ap-3033	153	2	.	.	PUNCT
ap-3033	153	3	wall	wall	PROPN
ap-3033	153	4	shear	shear	PROPN
ap-3033	153	5	stress	stress	VERB
ap-3033	153	6	the	the	DET
ap-3033	153	7	wall	wall	PROPN
ap-3033	153	8	shear	shear	PROPN
ap-3033	153	9	stress	stress	NOUN
ap-3033	153	10	is	be	AUX
ap-3033	153	11	calculated	calculate	VERB
ap-3033	153	12	from	from	ADP
ap-3033	153	13	the	the	DET
ap-3033	153	14	following	follow	VERB
ap-3033	153	15	equation	equation	NOUN
ap-3033	153	16	τ	τ	X
ap-3033	153	17	=	=	SYM
ap-3033	153	18	µ	µ	PROPN
ap-3033	153	19	∂u	∂u	PROPN
ap-3033	154	1	∂r	∂r	INTJ
ap-3033	154	2	.	.	PUNCT
ap-3033	155	1	(	(	PUNCT
ap-3033	155	2	21	21	NUM
ap-3033	155	3	)	)	PUNCT
ap-3033	155	4	3	3	NUM
ap-3033	155	5	.	.	PUNCT
ap-3033	155	6	results	result	VERB
ap-3033	155	7	the	the	DET
ap-3033	155	8	deviation	deviation	NOUN
ap-3033	155	9	of	of	ADP
ap-3033	155	10	the	the	DET
ap-3033	155	11	suggested	suggest	VERB
ap-3033	155	12	balance	balance	NOUN
ap-3033	155	13	momentum	momentum	NOUN
ap-3033	155	14	(	(	PUNCT
ap-3033	155	15	12),(15	12),(15	NUM
ap-3033	155	16	)	)	PUNCT
ap-3033	155	17	,	,	PUNCT
ap-3033	155	18	the	the	DET
ap-3033	155	19	energy	energy	NOUN
ap-3033	155	20	equations	equation	NOUN
ap-3033	155	21	(	(	PUNCT
ap-3033	155	22	13	13	NUM
ap-3033	155	23	)	)	PUNCT
ap-3033	155	24	,	,	PUNCT
ap-3033	155	25	(	(	PUNCT
ap-3033	155	26	16	16	NUM
ap-3033	155	27	)	)	PUNCT
ap-3033	155	28	is	be	AUX
ap-3033	155	29	demonstrated	demonstrate	VERB
ap-3033	155	30	by	by	ADP
ap-3033	155	31	(	(	PUNCT
ap-3033	155	32	fig	fig	NOUN
ap-3033	155	33	.	.	NOUN
ap-3033	156	1	1	1	NUM
ap-3033	156	2	)	)	PUNCT
ap-3033	156	3	,	,	PUNCT
ap-3033	157	1	which	which	PRON
ap-3033	157	2	illustrates	illustrate	VERB
ap-3033	157	3	the	the	DET
ap-3033	157	4	deviation	deviation	NOUN
ap-3033	157	5	from	from	ADP
ap-3033	157	6	the	the	DET
ap-3033	157	7	exact	exact	ADJ
ap-3033	157	8	solution	solution	NOUN
ap-3033	157	9	computed	compute	VERB
ap-3033	157	10	by	by	ADP
ap-3033	157	11	the	the	DET
ap-3033	157	12	equation	equation	NOUN
ap-3033	157	13	(	(	PUNCT
ap-3033	157	14	20	20	NUM
ap-3033	157	15	)	)	PUNCT
ap-3033	157	16	.	.	PUNCT
ap-3033	158	1	0	0	NUM
ap-3033	159	1	0.01	0.01	NUM
ap-3033	159	2	0.02	0.02	NUM
ap-3033	159	3	0.03	0.03	NUM
ap-3033	159	4	0.04	0.04	NUM
ap-3033	159	5	0.05	0.05	NUM
ap-3033	159	6	0.06	0.06	NUM
ap-3033	159	7	0	0	NUM
ap-3033	159	8	2	2	NUM
ap-3033	159	9	4	4	NUM
ap-3033	159	10	6	6	NUM
ap-3033	159	11	8	8	NUM
ap-3033	159	12	10	10	NUM
ap-3033	159	13	12	12	NUM
ap-3033	159	14	14	14	NUM
ap-3033	159	15	16	16	NUM
ap-3033	159	16	18	18	NUM
ap-3033	159	17	20	20	NUM
ap-3033	159	18	e	e	NOUN
ap-3033	159	19	rr	rr	NOUN
ap-3033	159	20	or	or	CCONJ
ap-3033	159	21	[	[	X
ap-3033	159	22	−	−	X
ap-3033	159	23	]	]	X
ap-3033	159	24	α[−	α[−	NOUN
ap-3033	159	25	]	]	PUNCT
ap-3033	159	26	figure	figure	NOUN
ap-3033	159	27	1	1	NUM
ap-3033	159	28	.	.	PUNCT
ap-3033	160	1	the	the	DET
ap-3033	160	2	graph	graph	NOUN
ap-3033	160	3	presents	present	VERB
ap-3033	160	4	the	the	DET
ap-3033	160	5	deviation	deviation	NOUN
ap-3033	160	6	of	of	ADP
ap-3033	160	7	flow	flow	NOUN
ap-3033	160	8	rate	rate	NOUN
ap-3033	160	9	q	q	PUNCT
ap-3033	160	10	from	from	ADP
ap-3033	160	11	qfd	qfd	NOUN
ap-3033	160	12	.	.	PUNCT
ap-3033	161	1	the	the	DET
ap-3033	161	2	black	black	ADJ
ap-3033	161	3	curves	curve	NOUN
ap-3033	161	4	correspond	correspond	VERB
ap-3033	161	5	to	to	ADP
ap-3033	161	6	the	the	DET
ap-3033	161	7	formulation	formulation	NOUN
ap-3033	161	8	from	from	ADP
ap-3033	161	9	the	the	DET
ap-3033	161	10	kinetic	kinetic	ADJ
ap-3033	161	11	energy	energy	NOUN
ap-3033	161	12	balance	balance	NOUN
ap-3033	161	13	(	(	PUNCT
ap-3033	161	14	13	13	NUM
ap-3033	161	15	)	)	PUNCT
ap-3033	161	16	,	,	PUNCT
ap-3033	161	17	(	(	PUNCT
ap-3033	161	18	16	16	NUM
ap-3033	161	19	)	)	PUNCT
ap-3033	161	20	while	while	SCONJ
ap-3033	161	21	the	the	DET
ap-3033	161	22	grey	grey	PROPN
ap-3033	161	23	curves	curve	NOUN
ap-3033	161	24	correlate	correlate	VERB
ap-3033	161	25	with	with	ADP
ap-3033	161	26	the	the	DET
ap-3033	161	27	weak	weak	ADJ
ap-3033	161	28	solution	solution	NOUN
ap-3033	161	29	of	of	ADP
ap-3033	161	30	the	the	DET
ap-3033	161	31	balance	balance	NOUN
ap-3033	161	32	momentum	momentum	NOUN
ap-3033	161	33	(	(	PUNCT
ap-3033	161	34	12	12	NUM
ap-3033	161	35	)	)	PUNCT
ap-3033	161	36	,	,	PUNCT
ap-3033	161	37	(	(	PUNCT
ap-3033	161	38	15	15	NUM
ap-3033	161	39	)	)	PUNCT
ap-3033	161	40	.	.	PUNCT
ap-3033	162	1	the	the	DET
ap-3033	162	2	solid	solid	ADJ
ap-3033	162	3	curves	curve	NOUN
ap-3033	162	4	are	be	AUX
ap-3033	162	5	consistent	consistent	ADJ
ap-3033	162	6	with	with	ADP
ap-3033	162	7	the	the	DET
ap-3033	162	8	parabolic	parabolic	ADJ
ap-3033	162	9	velocity	velocity	NOUN
ap-3033	162	10	profile	profile	NOUN
ap-3033	162	11	approximation	approximation	NOUN
ap-3033	162	12	and	and	CCONJ
ap-3033	162	13	the	the	DET
ap-3033	162	14	dashed	dash	VERB
ap-3033	162	15	curves	curve	NOUN
ap-3033	162	16	are	be	AUX
ap-3033	162	17	equivalent	equivalent	ADJ
ap-3033	162	18	to	to	ADP
ap-3033	162	19	the	the	DET
ap-3033	162	20	approximation	approximation	NOUN
ap-3033	162	21	of	of	ADP
ap-3033	162	22	the	the	DET
ap-3033	162	23	velocity	velocity	NOUN
ap-3033	162	24	profile	profile	NOUN
ap-3033	162	25	with	with	ADP
ap-3033	162	26	a	a	DET
ap-3033	162	27	fourth	fourth	ADJ
ap-3033	162	28	order	order	NOUN
ap-3033	162	29	polynomial	polynomial	ADJ
ap-3033	162	30	function	function	NOUN
ap-3033	162	31	.	.	PUNCT
ap-3033	163	1	three	three	NUM
ap-3033	163	2	representative	representative	ADJ
ap-3033	163	3	samples	sample	NOUN
ap-3033	163	4	of	of	ADP
ap-3033	163	5	the	the	DET
ap-3033	163	6	evolution	evolution	NOUN
ap-3033	163	7	of	of	ADP
ap-3033	163	8	the	the	DET
ap-3033	163	9	velocity	velocity	NOUN
ap-3033	163	10	profile	profile	NOUN
ap-3033	163	11	and	and	CCONJ
ap-3033	163	12	the	the	DET
ap-3033	163	13	course	course	NOUN
ap-3033	163	14	of	of	ADP
ap-3033	163	15	the	the	DET
ap-3033	163	16	wall	wall	NOUN
ap-3033	163	17	shear	shear	PROPN
ap-3033	163	18	102	102	NUM
ap-3033	163	19	vol	vol	NOUN
ap-3033	163	20	.	.	PUNCT
ap-3033	164	1	56	56	NUM
ap-3033	164	2	no	no	NOUN
ap-3033	164	3	.	.	PUNCT
ap-3033	165	1	2/2016	2/2016	NUM
ap-3033	165	2	integral	integral	ADJ
ap-3033	165	3	methods	method	NOUN
ap-3033	165	4	for	for	ADP
ap-3033	165	5	describing	describe	VERB
ap-3033	165	6	pulsatile	pulsatile	NOUN
ap-3033	165	7	flow	flow	NOUN
ap-3033	165	8	stress	stress	NOUN
ap-3033	165	9	are	be	AUX
ap-3033	165	10	shown	show	VERB
ap-3033	165	11	in	in	ADP
ap-3033	165	12	the	the	DET
ap-3033	165	13	figures	figure	NOUN
ap-3033	165	14	bellow	bellow	ADJ
ap-3033	165	15	.	.	PUNCT
ap-3033	166	1	pairs	pair	NOUN
ap-3033	166	2	of	of	ADP
ap-3033	166	3	velocity	velocity	NOUN
ap-3033	166	4	profiles	profile	NOUN
ap-3033	166	5	are	be	AUX
ap-3033	166	6	presented	present	VERB
ap-3033	166	7	in	in	ADP
ap-3033	166	8	(	(	PUNCT
ap-3033	166	9	fig	fig	NOUN
ap-3033	166	10	.	.	PUNCT
ap-3033	167	1	2	2	NUM
ap-3033	167	2	)	)	PUNCT
ap-3033	167	3	.	.	PUNCT
ap-3033	168	1	a	a	DET
ap-3033	168	2	womersley	womersley	ADJ
ap-3033	168	3	number	number	NOUN
ap-3033	168	4	is	be	AUX
ap-3033	168	5	assigned	assign	VERB
ap-3033	168	6	to	to	ADP
ap-3033	168	7	each	each	DET
ap-3033	168	8	pair	pair	NOUN
ap-3033	168	9	of	of	ADP
ap-3033	168	10	velocity	velocity	NOUN
ap-3033	168	11	profiles	profile	NOUN
ap-3033	168	12	in	in	ADP
ap-3033	168	13	two	two	NUM
ap-3033	168	14	different	different	ADJ
ap-3033	168	15	time	time	NOUN
ap-3033	168	16	points	point	NOUN
ap-3033	168	17	t1	t1	PROPN
ap-3033	168	18	,	,	PUNCT
ap-3033	168	19	t2	t2	NOUN
ap-3033	168	20	and	and	CCONJ
ap-3033	168	21	also	also	ADV
ap-3033	168	22	for	for	ADP
ap-3033	168	23	the	the	DET
ap-3033	168	24	wall	wall	PROPN
ap-3033	168	25	shear	shear	PROPN
ap-3033	168	26	stress	stress	NOUN
ap-3033	168	27	.	.	PUNCT
ap-3033	169	1	the	the	DET
ap-3033	169	2	results	result	NOUN
ap-3033	169	3	of	of	ADP
ap-3033	169	4	the	the	DET
ap-3033	169	5	wall	wall	PROPN
ap-3033	169	6	shear	shear	PROPN
ap-3033	169	7	stress	stress	NOUN
ap-3033	169	8	can	can	AUX
ap-3033	169	9	be	be	AUX
ap-3033	169	10	found	find	VERB
ap-3033	169	11	in	in	ADP
ap-3033	169	12	(	(	PUNCT
ap-3033	169	13	fig	fig	NOUN
ap-3033	169	14	.	.	PUNCT
ap-3033	170	1	3	3	NUM
ap-3033	170	2	)	)	PUNCT
ap-3033	170	3	below	below	ADV
ap-3033	170	4	.	.	PUNCT
ap-3033	171	1	-0.15	-0.15	NUM
ap-3033	171	2	-0.1	-0.1	PROPN
ap-3033	171	3	-0.05	-0.05	NOUN
ap-3033	171	4	0	0	NUM
ap-3033	171	5	0.05	0.05	NUM
ap-3033	171	6	-2	-2	NUM
ap-3033	171	7	-	-	PUNCT
ap-3033	171	8	1.5	1.5	NUM
ap-3033	171	9	-	-	PUNCT
ap-3033	171	10	1	1	NUM
ap-3033	171	11	-	-	SYM
ap-3033	171	12	0.5	0.5	NUM
ap-3033	171	13	0	0	NUM
ap-3033	171	14	0.5	0.5	NUM
ap-3033	171	15	1	1	NUM
ap-3033	171	16	1.5	1.5	NUM
ap-3033	171	17	2	2	NUM
ap-3033	171	18	u	u	NOUN
ap-3033	171	19	[	[	X
ap-3033	171	20	m	m	NOUN
ap-3033	171	21	s−	s−	NOUN
ap-3033	171	22	1	1	NUM
ap-3033	171	23	]	]	PUNCT
ap-3033	171	24	r[mm	r[mm	NOUN
ap-3033	171	25	]	]	PUNCT
ap-3033	171	26	α	α	NOUN
ap-3033	171	27	=	=	SYM
ap-3033	171	28	3	3	NUM
ap-3033	171	29	t1	t1	NOUN
ap-3033	171	30	=	=	NOUN
ap-3033	171	31	0.7	0.7	NUM
ap-3033	171	32	t	t	NOUN
ap-3033	171	33	t2	t2	NOUN
ap-3033	171	34	=	=	PUNCT
ap-3033	171	35	0.9	0.9	NUM
ap-3033	171	36	t	t	NOUN
ap-3033	171	37	0	0	NUM
ap-3033	171	38	0.05	0.05	NUM
ap-3033	171	39	0.1	0.1	NUM
ap-3033	171	40	0.15	0.15	NUM
ap-3033	171	41	-2	-2	NOUN
ap-3033	171	42	-	-	PUNCT
ap-3033	171	43	1.5	1.5	NUM
ap-3033	171	44	-	-	PUNCT
ap-3033	171	45	1	1	NUM
ap-3033	171	46	-	-	SYM
ap-3033	171	47	0.5	0.5	NUM
ap-3033	171	48	0	0	NUM
ap-3033	171	49	0.5	0.5	NUM
ap-3033	171	50	1	1	NUM
ap-3033	171	51	1.5	1.5	NUM
ap-3033	171	52	2	2	NUM
ap-3033	171	53	u	u	NOUN
ap-3033	171	54	[	[	X
ap-3033	171	55	m	m	NOUN
ap-3033	171	56	s−	s−	NOUN
ap-3033	171	57	1	1	NUM
ap-3033	171	58	]	]	PUNCT
ap-3033	171	59	r[mm	r[mm	NOUN
ap-3033	171	60	]	]	PUNCT
ap-3033	171	61	α	α	NOUN
ap-3033	171	62	=	=	SYM
ap-3033	171	63	5	5	NUM
ap-3033	171	64	t1	t1	NOUN
ap-3033	171	65	=	=	NOUN
ap-3033	171	66	0.7	0.7	NUM
ap-3033	171	67	t	t	NOUN
ap-3033	171	68	t2	t2	NOUN
ap-3033	171	69	=	=	PUNCT
ap-3033	171	70	0.9	0.9	NUM
ap-3033	171	71	t	t	NOUN
ap-3033	171	72	0	0	NUM
ap-3033	171	73	0.05	0.05	NUM
ap-3033	171	74	0.1	0.1	NUM
ap-3033	171	75	0.15	0.15	NUM
ap-3033	171	76	-2	-2	NOUN
ap-3033	171	77	-	-	PUNCT
ap-3033	171	78	1.5	1.5	NUM
ap-3033	171	79	-	-	PUNCT
ap-3033	171	80	1	1	NUM
ap-3033	171	81	-	-	SYM
ap-3033	171	82	0.5	0.5	NUM
ap-3033	171	83	0	0	NUM
ap-3033	171	84	0.5	0.5	NUM
ap-3033	171	85	1	1	NUM
ap-3033	171	86	1.5	1.5	NUM
ap-3033	171	87	2	2	NUM
ap-3033	171	88	u	u	NOUN
ap-3033	171	89	[	[	X
ap-3033	171	90	m	m	NOUN
ap-3033	171	91	s−	s−	NOUN
ap-3033	171	92	1	1	NUM
ap-3033	171	93	]	]	PUNCT
ap-3033	171	94	r[mm	r[mm	NOUN
ap-3033	171	95	]	]	PUNCT
ap-3033	171	96	α	α	NOUN
ap-3033	171	97	=	=	SYM
ap-3033	171	98	7	7	NUM
ap-3033	171	99	t1	t1	NOUN
ap-3033	171	100	=	=	PUNCT
ap-3033	171	101	0.7	0.7	NUM
ap-3033	171	102	t	t	NOUN
ap-3033	171	103	t2	t2	NOUN
ap-3033	171	104	=	=	PUNCT
ap-3033	171	105	0.9	0.9	NUM
ap-3033	171	106	t	t	NOUN
ap-3033	171	107	figure	figure	NOUN
ap-3033	171	108	2	2	NUM
ap-3033	171	109	.	.	PUNCT
ap-3033	172	1	the	the	DET
ap-3033	172	2	black	black	ADJ
ap-3033	172	3	lines	line	NOUN
ap-3033	172	4	are	be	AUX
ap-3033	172	5	representatives	representative	NOUN
ap-3033	172	6	of	of	ADP
ap-3033	172	7	the	the	DET
ap-3033	172	8	velocity	velocity	NOUN
ap-3033	172	9	profiles	profile	NOUN
ap-3033	172	10	obtained	obtain	VERB
ap-3033	172	11	from	from	ADP
ap-3033	172	12	the	the	DET
ap-3033	172	13	finite	finite	ADJ
ap-3033	172	14	difference	difference	NOUN
ap-3033	172	15	method	method	NOUN
ap-3033	172	16	on	on	ADP
ap-3033	172	17	the	the	DET
ap-3033	172	18	right	right	ADJ
ap-3033	172	19	side	side	NOUN
ap-3033	172	20	of	of	ADP
ap-3033	172	21	the	the	DET
ap-3033	172	22	figures	figure	NOUN
ap-3033	172	23	.	.	PUNCT
ap-3033	173	1	the	the	DET
ap-3033	173	2	dashed	dash	VERB
ap-3033	173	3	lines	line	NOUN
ap-3033	173	4	were	be	AUX
ap-3033	173	5	obtained	obtain	VERB
ap-3033	173	6	by	by	ADP
ap-3033	173	7	calculating	calculate	VERB
ap-3033	173	8	(	(	PUNCT
ap-3033	173	9	16	16	NUM
ap-3033	173	10	)	)	PUNCT
ap-3033	173	11	(	(	PUNCT
ap-3033	173	12	black	black	ADJ
ap-3033	173	13	color	color	NOUN
ap-3033	173	14	)	)	PUNCT
ap-3033	173	15	,	,	PUNCT
ap-3033	173	16	(	(	PUNCT
ap-3033	173	17	15	15	NUM
ap-3033	173	18	)	)	PUNCT
ap-3033	173	19	(	(	PUNCT
ap-3033	173	20	grey	grey	PROPN
ap-3033	173	21	color	color	PROPN
ap-3033	173	22	)	)	PUNCT
ap-3033	173	23	.	.	PUNCT
ap-3033	174	1	4	4	X
ap-3033	174	2	.	.	X
ap-3033	174	3	conclusion	conclusion	NOUN
ap-3033	174	4	the	the	DET
ap-3033	174	5	method	method	NOUN
ap-3033	174	6	proposed	propose	VERB
ap-3033	174	7	here	here	ADV
ap-3033	174	8	is	be	AUX
ap-3033	174	9	suitable	suitable	ADJ
ap-3033	174	10	especially	especially	ADV
ap-3033	174	11	for	for	ADP
ap-3033	174	12	the	the	DET
ap-3033	174	13	situation	situation	NOUN
ap-3033	174	14	where	where	SCONJ
ap-3033	174	15	the	the	DET
ap-3033	174	16	pressure	pressure	NOUN
ap-3033	174	17	gradient	gradient	NOUN
ap-3033	174	18	can	can	AUX
ap-3033	174	19	not	not	PART
ap-3033	174	20	be	be	AUX
ap-3033	174	21	decomposed	decompose	VERB
ap-3033	174	22	into	into	ADP
ap-3033	174	23	fourier	fourier	ADJ
ap-3033	174	24	series	series	NOUN
ap-3033	174	25	,	,	PUNCT
ap-3033	174	26	which	which	PRON
ap-3033	174	27	corresponds	correspond	VERB
ap-3033	174	28	to	to	ADP
ap-3033	174	29	[	[	X
ap-3033	174	30	24	24	NUM
ap-3033	174	31	]	]	PUNCT
ap-3033	174	32	.	.	PUNCT
ap-3033	175	1	the	the	DET
ap-3033	175	2	exact	exact	ADJ
ap-3033	175	3	solution	solution	NOUN
ap-3033	175	4	through	through	ADP
ap-3033	175	5	the	the	DET
ap-3033	175	6	bessel	bessel	NOUN
ap-3033	175	7	function	function	NOUN
ap-3033	175	8	is	be	AUX
ap-3033	175	9	therefore	therefore	ADV
ap-3033	175	10	not	not	PART
ap-3033	175	11	applicable	applicable	ADJ
ap-3033	175	12	.	.	PUNCT
ap-3033	176	1	the	the	DET
ap-3033	176	2	effect	effect	NOUN
ap-3033	176	3	of	of	ADP
ap-3033	176	4	assuming	assume	VERB
ap-3033	176	5	a	a	DET
ap-3033	176	6	parabolic	parabolic	ADJ
ap-3033	176	7	profile	profile	NOUN
ap-3033	176	8	and	and	CCONJ
ap-3033	176	9	applying	apply	VERB
ap-3033	176	10	the	the	DET
ap-3033	176	11	galerkin	galerkin	ADJ
ap-3033	176	12	method	method	NOUN
ap-3033	176	13	is	be	AUX
ap-3033	176	14	shown	show	VERB
ap-3033	176	15	in	in	ADP
ap-3033	176	16	(	(	PUNCT
ap-3033	176	17	fig	fig	NOUN
ap-3033	176	18	.	.	PUNCT
ap-3033	177	1	1	1	NUM
ap-3033	177	2	)	)	PUNCT
ap-3033	177	3	.	.	PUNCT
ap-3033	178	1	the	the	DET
ap-3033	178	2	maximum	maximum	ADJ
ap-3033	178	3	error	error	NOUN
ap-3033	178	4	when	when	SCONJ
ap-3033	178	5	using	use	VERB
ap-3033	178	6	the	the	DET
ap-3033	178	7	momentum	momentum	NOUN
ap-3033	178	8	integral	integral	ADJ
ap-3033	178	9	method	method	NOUN
ap-3033	178	10	is	be	AUX
ap-3033	178	11	2.8	2.8	NUM
ap-3033	178	12	percent	percent	NOUN
ap-3033	178	13	.	.	PUNCT
ap-3033	179	1	the	the	DET
ap-3033	179	2	maximum	maximum	ADJ
ap-3033	179	3	error	error	NOUN
ap-3033	179	4	when	when	SCONJ
ap-3033	179	5	using	use	VERB
ap-3033	179	6	the	the	DET
ap-3033	179	7	energy	energy	NOUN
ap-3033	179	8	integral	integral	ADJ
ap-3033	179	9	method	method	NOUN
ap-3033	179	10	is	be	AUX
ap-3033	179	11	5.5	5.5	NUM
ap-3033	179	12	percent	percent	NOUN
ap-3033	179	13	.	.	PUNCT
ap-3033	180	1	the	the	DET
ap-3033	180	2	discrepancy	discrepancy	NOUN
ap-3033	180	3	between	between	ADP
ap-3033	180	4	elkouh	elkouh	NOUN
ap-3033	180	5	’s	’s	PART
ap-3033	180	6	results	result	NOUN
ap-3033	180	7	,	,	PUNCT
ap-3033	180	8	which	which	PRON
ap-3033	180	9	assume	assume	VERB
ap-3033	180	10	the	the	DET
ap-3033	180	11	steady	steady	ADJ
ap-3033	180	12	state	state	NOUN
ap-3033	180	13	of	of	ADP
ap-3033	180	14	the	the	DET
ap-3033	180	15	velocity	velocity	NOUN
ap-3033	180	16	profile	profile	NOUN
ap-3033	180	17	,	,	PUNCT
ap-3033	180	18	and	and	CCONJ
ap-3033	180	19	our	our	PRON
ap-3033	180	20	results	result	NOUN
ap-3033	180	21	is	be	AUX
ap-3033	180	22	caused	cause	VERB
ap-3033	180	23	by	by	ADP
ap-3033	180	24	the	the	DET
ap-3033	180	25	use	use	NOUN
ap-3033	180	26	a	a	DET
ap-3033	180	27	different	different	ADJ
ap-3033	180	28	method	method	NOUN
ap-3033	180	29	for	for	ADP
ap-3033	180	30	finding	find	VERB
ap-3033	180	31	the	the	DET
ap-3033	180	32	solution	solution	NOUN
ap-3033	180	33	(	(	PUNCT
ap-3033	180	34	in	in	ADP
ap-3033	180	35	our	our	PRON
ap-3033	180	36	case	case	NOUN
ap-3033	180	37	,	,	PUNCT
ap-3033	180	38	the	the	DET
ap-3033	180	39	galerkin	galerkin	ADJ
ap-3033	180	40	method	method	NOUN
ap-3033	180	41	)	)	PUNCT
ap-3033	180	42	,	,	PUNCT
ap-3033	180	43	by	by	ADP
ap-3033	180	44	the	the	DET
ap-3033	180	45	specific	specific	ADJ
ap-3033	180	46	test	test	NOUN
ap-3033	180	47	,	,	PUNCT
ap-3033	180	48	and	and	CCONJ
ap-3033	180	49	by	by	ADP
ap-3033	180	50	the	the	DET
ap-3033	180	51	selected	select	VERB
ap-3033	180	52	accuracy	accuracy	NOUN
ap-3033	180	53	criterion	criterion	NOUN
ap-3033	180	54	.	.	PUNCT
ap-3033	181	1	elkouh	elkouh	NOUN
ap-3033	181	2	reported	report	VERB
ap-3033	181	3	that	that	SCONJ
ap-3033	181	4	better	well	ADJ
ap-3033	181	5	results	result	NOUN
ap-3033	181	6	were	be	AUX
ap-3033	181	7	obtained	obtain	VERB
ap-3033	181	8	from	from	ADP
ap-3033	181	9	the	the	DET
ap-3033	181	10	integral	integral	ADJ
ap-3033	181	11	energy	energy	NOUN
ap-3033	181	12	method	method	NOUN
ap-3033	181	13	with	with	ADP
ap-3033	181	14	the	the	DET
ap-3033	181	15	well	well	ADV
ap-3033	181	16	-	-	PUNCT
ap-3033	181	17	known	know	VERB
ap-3033	181	18	steady	steady	ADJ
ap-3033	181	19	state	state	NOUN
ap-3033	181	20	velocity	velocity	NOUN
ap-3033	181	21	profile	profile	NOUN
ap-3033	181	22	(	(	PUNCT
ap-3033	181	23	without	without	ADP
ap-3033	181	24	reverse	reverse	ADJ
ap-3033	181	25	flow	flow	NOUN
ap-3033	181	26	)	)	PUNCT
ap-3033	181	27	for	for	ADP
ap-3033	181	28	α	α	NOUN
ap-3033	181	29	=	=	SYM
ap-3033	181	30	0–10	0–10	PROPN
ap-3033	182	1	[	[	X
ap-3033	182	2	21	21	NUM
ap-3033	182	3	]	]	PUNCT
ap-3033	182	4	.	.	PUNCT
ap-3033	183	1	the	the	DET
ap-3033	183	2	method	method	NOUN
ap-3033	183	3	proposed	propose	VERB
ap-3033	183	4	here	here	ADV
ap-3033	183	5	is	be	AUX
ap-3033	183	6	-2	-2	X
ap-3033	183	7	0	0	NUM
ap-3033	183	8	2	2	NUM
ap-3033	183	9	4	4	NUM
ap-3033	183	10	0	0	NUM
ap-3033	183	11	0.5	0.5	NUM
ap-3033	183	12	1	1	NUM
ap-3033	183	13	1.5	1.5	NUM
ap-3033	183	14	2	2	NUM
ap-3033	183	15	2.5	2.5	NUM
ap-3033	183	16	τ	τ	X
ap-3033	183	17	(	(	PUNCT
ap-3033	183	18	t	t	PROPN
ap-3033	183	19	)	)	PUNCT
ap-3033	183	20	τ	τ	PROPN
ap-3033	183	21	(	(	PUNCT
ap-3033	183	22	0	0	NUM
ap-3033	183	23	)	)	PUNCT
ap-3033	184	1	[	[	X
ap-3033	184	2	−	−	X
ap-3033	184	3	]	]	PUNCT
ap-3033	184	4	t[s	t[s	NUM
ap-3033	184	5	]	]	X
ap-3033	184	6	α	α	NOUN
ap-3033	184	7	=	=	SYM
ap-3033	184	8	3	3	NUM
ap-3033	184	9	0	0	NUM
ap-3033	184	10	1	1	NUM
ap-3033	184	11	2	2	NUM
ap-3033	184	12	3	3	NUM
ap-3033	184	13	0	0	NUM
ap-3033	184	14	0.2	0.2	NUM
ap-3033	184	15	0.4	0.4	NUM
ap-3033	184	16	0.6	0.6	NUM
ap-3033	184	17	0.8	0.8	NUM
ap-3033	184	18	1	1	NUM
ap-3033	184	19	τ	τ	X
ap-3033	184	20	(	(	PUNCT
ap-3033	184	21	t	t	PROPN
ap-3033	184	22	)	)	PUNCT
ap-3033	184	23	τ	τ	PROPN
ap-3033	184	24	(	(	PUNCT
ap-3033	184	25	0	0	NUM
ap-3033	184	26	)	)	PUNCT
ap-3033	185	1	[	[	X
ap-3033	185	2	−	−	X
ap-3033	185	3	]	]	PUNCT
ap-3033	185	4	t[s	t[s	NUM
ap-3033	185	5	]	]	X
ap-3033	185	6	α	α	NOUN
ap-3033	185	7	=	=	SYM
ap-3033	185	8	5	5	NUM
ap-3033	185	9	0	0	NUM
ap-3033	185	10	1	1	NUM
ap-3033	185	11	2	2	NUM
ap-3033	185	12	0	0	NUM
ap-3033	185	13	0.1	0.1	NUM
ap-3033	185	14	0.2	0.2	NUM
ap-3033	185	15	0.3	0.3	NUM
ap-3033	185	16	0.4	0.4	NUM
ap-3033	185	17	0.5	0.5	NUM
ap-3033	185	18	τ	τ	X
ap-3033	185	19	(	(	PUNCT
ap-3033	185	20	t	t	PROPN
ap-3033	185	21	)	)	PUNCT
ap-3033	185	22	τ	τ	PROPN
ap-3033	185	23	(	(	PUNCT
ap-3033	185	24	0	0	NUM
ap-3033	185	25	)	)	PUNCT
ap-3033	186	1	[	[	X
ap-3033	186	2	−	−	X
ap-3033	186	3	]	]	PUNCT
ap-3033	186	4	t[s	t[s	NUM
ap-3033	186	5	]	]	X
ap-3033	186	6	α	α	NOUN
ap-3033	186	7	=	=	SYM
ap-3033	186	8	7	7	NUM
ap-3033	186	9	figure	figure	NOUN
ap-3033	186	10	3	3	NUM
ap-3033	186	11	.	.	PUNCT
ap-3033	187	1	the	the	DET
ap-3033	187	2	black	black	ADJ
ap-3033	187	3	lines	line	NOUN
ap-3033	187	4	correspond	correspond	VERB
ap-3033	187	5	to	to	ADP
ap-3033	187	6	the	the	DET
ap-3033	187	7	shear	shear	NOUN
ap-3033	187	8	stress	stress	NOUN
ap-3033	187	9	at	at	ADP
ap-3033	187	10	the	the	DET
ap-3033	187	11	wall	wall	NOUN
ap-3033	187	12	calculated	calculate	VERB
ap-3033	187	13	using	use	VERB
ap-3033	187	14	the	the	DET
ap-3033	187	15	finite	finite	ADJ
ap-3033	187	16	difference	difference	NOUN
ap-3033	187	17	method	method	NOUN
ap-3033	187	18	.	.	PUNCT
ap-3033	188	1	the	the	DET
ap-3033	188	2	dashed	dash	VERB
ap-3033	188	3	lines	line	NOUN
ap-3033	188	4	mark	mark	VERB
ap-3033	188	5	the	the	DET
ap-3033	188	6	wall	wall	PROPN
ap-3033	188	7	shear	shear	PROPN
ap-3033	188	8	stress	stress	NOUN
ap-3033	188	9	of	of	ADP
ap-3033	188	10	the	the	DET
ap-3033	188	11	approximate	approximate	ADJ
ap-3033	188	12	solution	solution	NOUN
ap-3033	188	13	.	.	PUNCT
ap-3033	189	1	the	the	DET
ap-3033	189	2	color	color	NOUN
ap-3033	189	3	designation	designation	NOUN
ap-3033	189	4	for	for	ADP
ap-3033	189	5	the	the	DET
ap-3033	189	6	approximate	approximate	ADJ
ap-3033	189	7	solution	solution	NOUN
ap-3033	189	8	is	be	AUX
ap-3033	189	9	the	the	DET
ap-3033	189	10	same	same	ADJ
ap-3033	189	11	as	as	ADP
ap-3033	189	12	in	in	ADP
ap-3033	189	13	previous	previous	ADJ
ap-3033	189	14	figures	figure	NOUN
ap-3033	189	15	.	.	PUNCT
ap-3033	190	1	designed	design	VERB
ap-3033	190	2	to	to	PART
ap-3033	190	3	take	take	VERB
ap-3033	190	4	the	the	DET
ap-3033	190	5	reverse	reverse	ADJ
ap-3033	190	6	flow	flow	NOUN
ap-3033	190	7	into	into	ADP
ap-3033	190	8	account	account	NOUN
ap-3033	190	9	,	,	PUNCT
ap-3033	190	10	and	and	CCONJ
ap-3033	190	11	it	it	PRON
ap-3033	190	12	investigates	investigate	VERB
ap-3033	190	13	the	the	DET
ap-3033	190	14	error	error	NOUN
ap-3033	190	15	of	of	ADP
ap-3033	190	16	the	the	DET
ap-3033	190	17	integral	integral	ADJ
ap-3033	190	18	energy	energy	NOUN
ap-3033	190	19	method	method	NOUN
ap-3033	190	20	and	and	CCONJ
ap-3033	190	21	the	the	DET
ap-3033	190	22	integral	integral	ADJ
ap-3033	190	23	momentum	momentum	NOUN
ap-3033	190	24	method	method	NOUN
ap-3033	190	25	.	.	PUNCT
ap-3033	191	1	the	the	DET
ap-3033	191	2	maximum	maximum	ADJ
ap-3033	191	3	error	error	NOUN
ap-3033	191	4	over	over	ADP
ap-3033	191	5	a	a	DET
ap-3033	191	6	cycle	cycle	NOUN
ap-3033	191	7	was	be	AUX
ap-3033	191	8	0.3	0.3	NUM
ap-3033	191	9	percent	percent	NOUN
ap-3033	191	10	for	for	ADP
ap-3033	191	11	the	the	DET
ap-3033	191	12	integral	integral	ADJ
ap-3033	191	13	momentum	momentum	NOUN
ap-3033	191	14	solution	solution	NOUN
ap-3033	191	15	while	while	SCONJ
ap-3033	191	16	the	the	DET
ap-3033	191	17	maximum	maximum	ADJ
ap-3033	191	18	error	error	NOUN
ap-3033	191	19	caused	cause	VERB
ap-3033	191	20	using	use	VERB
ap-3033	191	21	the	the	DET
ap-3033	191	22	integral	integral	ADJ
ap-3033	191	23	energy	energy	NOUN
ap-3033	191	24	method	method	NOUN
ap-3033	191	25	was	be	AUX
ap-3033	191	26	1.3	1.3	NUM
ap-3033	191	27	percent	percent	NOUN
ap-3033	191	28	.	.	PUNCT
ap-3033	192	1	the	the	DET
ap-3033	192	2	higher	high	ADJ
ap-3033	192	3	error	error	NOUN
ap-3033	192	4	of	of	ADP
ap-3033	192	5	the	the	DET
ap-3033	192	6	system	system	NOUN
ap-3033	192	7	of	of	ADP
ap-3033	192	8	mechanical	mechanical	ADJ
ap-3033	192	9	energy	energy	NOUN
ap-3033	192	10	equations	equation	NOUN
ap-3033	192	11	derived	derive	VERB
ap-3033	192	12	from	from	ADP
ap-3033	192	13	the	the	DET
ap-3033	192	14	integral	integral	ADJ
ap-3033	192	15	energy	energy	NOUN
ap-3033	192	16	(	(	PUNCT
ap-3033	192	17	16	16	NUM
ap-3033	192	18	)	)	PUNCT
ap-3033	192	19	is	be	AUX
ap-3033	192	20	caused	cause	VERB
ap-3033	192	21	by	by	ADP
ap-3033	192	22	nonlinearities	nonlinearitie	NOUN
ap-3033	192	23	.	.	PUNCT
ap-3033	193	1	the	the	DET
ap-3033	193	2	integral	integral	ADJ
ap-3033	193	3	solution	solution	NOUN
ap-3033	193	4	(	(	PUNCT
ap-3033	193	5	15	15	NUM
ap-3033	193	6	)	)	PUNCT
ap-3033	193	7	is	be	AUX
ap-3033	193	8	in	in	ADP
ap-3033	193	9	excellent	excellent	ADJ
ap-3033	193	10	agreement	agreement	NOUN
ap-3033	193	11	with	with	ADP
ap-3033	193	12	the	the	DET
ap-3033	193	13	finite	finite	ADJ
ap-3033	193	14	difference	difference	NOUN
ap-3033	193	15	solution	solution	NOUN
ap-3033	193	16	in	in	ADP
ap-3033	193	17	the	the	DET
ap-3033	193	18	region	region	NOUN
ap-3033	193	19	α	α	NOUN
ap-3033	193	20	=	=	SYM
ap-3033	193	21	1–20	1–20	PROPN
ap-3033	193	22	which	which	PRON
ap-3033	193	23	is	be	AUX
ap-3033	193	24	a	a	DET
ap-3033	193	25	part	part	NOUN
ap-3033	193	26	of	of	ADP
ap-3033	193	27	the	the	DET
ap-3033	193	28	intermediate	intermediate	ADJ
ap-3033	193	29	region	region	NOUN
ap-3033	193	30	of	of	ADP
ap-3033	193	31	pulsatile	pulsatile	ADJ
ap-3033	193	32	flow	flow	NOUN
ap-3033	193	33	[	[	X
ap-3033	193	34	5	5	NUM
ap-3033	193	35	]	]	PUNCT
ap-3033	193	36	,	,	PUNCT
ap-3033	193	37	[	[	X
ap-3033	193	38	6	6	NUM
ap-3033	193	39	]	]	PUNCT
ap-3033	193	40	.	.	PUNCT
ap-3033	194	1	another	another	DET
ap-3033	194	2	type	type	NOUN
ap-3033	194	3	of	of	ADP
ap-3033	194	4	gradient	gradient	NOUN
ap-3033	194	5	p	p	NOUN
ap-3033	194	6	(	(	PUNCT
ap-3033	194	7	a	a	DET
ap-3033	194	8	symmetric	symmetric	ADJ
ap-3033	194	9	triangular	triangular	NOUN
ap-3033	194	10	wave	wave	NOUN
ap-3033	194	11	)	)	PUNCT
ap-3033	194	12	was	be	AUX
ap-3033	194	13	applied	apply	VERB
ap-3033	194	14	to	to	ADP
ap-3033	194	15	the	the	DET
ap-3033	194	16	system	system	NOUN
ap-3033	194	17	of	of	ADP
ap-3033	194	18	equations	equation	NOUN
ap-3033	194	19	(	(	PUNCT
ap-3033	194	20	15	15	NUM
ap-3033	194	21	)	)	PUNCT
ap-3033	194	22	,	,	PUNCT
ap-3033	194	23	(	(	PUNCT
ap-3033	194	24	16	16	NUM
ap-3033	194	25	)	)	PUNCT
ap-3033	194	26	and	and	CCONJ
ap-3033	194	27	also	also	ADV
ap-3033	194	28	to	to	ADP
ap-3033	194	29	the	the	DET
ap-3033	194	30	finite	finite	ADJ
ap-3033	194	31	difference	difference	NOUN
ap-3033	194	32	method	method	NOUN
ap-3033	194	33	.	.	PUNCT
ap-3033	195	1	the	the	DET
ap-3033	195	2	same	same	ADJ
ap-3033	195	3	amplitude	amplitude	NOUN
ap-3033	195	4	of	of	ADP
ap-3033	195	5	the	the	DET
ap-3033	195	6	stationary	stationary	ADJ
ap-3033	195	7	and	and	CCONJ
ap-3033	195	8	nonstationary	nonstationary	ADJ
ap-3033	195	9	part	part	NOUN
ap-3033	195	10	of	of	ADP
ap-3033	195	11	the	the	DET
ap-3033	195	12	pressure	pressure	NOUN
ap-3033	195	13	gradient	gradient	NOUN
ap-3033	195	14	was	be	AUX
ap-3033	195	15	used	use	VERB
ap-3033	195	16	as	as	ADP
ap-3033	195	17	in	in	ADP
ap-3033	195	18	the	the	DET
ap-3033	195	19	test	test	NOUN
ap-3033	195	20	example	example	NOUN
ap-3033	195	21	(	(	PUNCT
ap-3033	195	22	17	17	NUM
ap-3033	195	23	)	)	PUNCT
ap-3033	195	24	.	.	PUNCT
ap-3033	196	1	similar	similar	ADJ
ap-3033	196	2	error	error	NOUN
ap-3033	196	3	was	be	AUX
ap-3033	196	4	calculated	calculate	VERB
ap-3033	196	5	as	as	ADP
ap-3033	196	6	in	in	ADP
ap-3033	196	7	(	(	PUNCT
ap-3033	196	8	fig	fig	NOUN
ap-3033	196	9	.	.	NOUN
ap-3033	197	1	1	1	NUM
ap-3033	197	2	)	)	PUNCT
ap-3033	197	3	based	base	VERB
ap-3033	197	4	on	on	ADP
ap-3033	197	5	(	(	PUNCT
ap-3033	197	6	20	20	NUM
ap-3033	197	7	)	)	PUNCT
ap-3033	197	8	.	.	PUNCT
ap-3033	198	1	the	the	DET
ap-3033	198	2	maximum	maximum	ADJ
ap-3033	198	3	error	error	NOUN
ap-3033	198	4	from	from	ADP
ap-3033	198	5	the	the	DET
ap-3033	198	6	flow	flow	NOUN
ap-3033	198	7	calculation	calculation	NOUN
ap-3033	198	8	(	(	PUNCT
ap-3033	198	9	15	15	NUM
ap-3033	198	10	)	)	PUNCT
ap-3033	198	11	,	,	PUNCT
ap-3033	198	12	(	(	PUNCT
ap-3033	198	13	16	16	NUM
ap-3033	198	14	)	)	PUNCT
ap-3033	198	15	in	in	ADP
ap-3033	198	16	comparison	comparison	NOUN
ap-3033	198	17	with	with	ADP
ap-3033	198	18	the	the	DET
ap-3033	198	19	finite	finite	ADJ
ap-3033	198	20	difference	difference	NOUN
ap-3033	198	21	solution	solution	NOUN
ap-3033	198	22	,	,	PUNCT
ap-3033	198	23	was	be	AUX
ap-3033	198	24	1.4	1.4	NUM
ap-3033	198	25	,	,	PUNCT
ap-3033	198	26	2.4	2.4	NUM
ap-3033	198	27	percent	percent	NOUN
ap-3033	198	28	,	,	PUNCT
ap-3033	198	29	respectively	respectively	ADV
ap-3033	198	30	.	.	PUNCT
ap-3033	199	1	the	the	DET
ap-3033	199	2	evolution	evolution	NOUN
ap-3033	199	3	of	of	ADP
ap-3033	199	4	the	the	DET
ap-3033	199	5	approximate	approximate	ADJ
ap-3033	199	6	velocity	velocity	NOUN
ap-3033	199	7	profiles	profile	NOUN
ap-3033	199	8	is	be	AUX
ap-3033	199	9	in	in	ADP
ap-3033	199	10	good	good	ADJ
ap-3033	199	11	agreement	agreement	NOUN
ap-3033	199	12	with	with	ADP
ap-3033	199	13	the	the	DET
ap-3033	199	14	velocity	velocity	NOUN
ap-3033	199	15	profile	profile	NOUN
ap-3033	199	16	calculated	calculate	VERB
ap-3033	199	17	from	from	ADP
ap-3033	199	18	the	the	DET
ap-3033	199	19	finite	finite	ADJ
ap-3033	199	20	difference	difference	NOUN
ap-3033	199	21	method	method	NOUN
ap-3033	199	22	(	(	PUNCT
ap-3033	199	23	fig	fig	NOUN
ap-3033	199	24	.	.	PUNCT
ap-3033	200	1	2	2	NUM
ap-3033	200	2	)	)	PUNCT
ap-3033	200	3	.	.	PUNCT
ap-3033	201	1	the	the	DET
ap-3033	201	2	wall	wall	PROPN
ap-3033	201	3	shear	shear	PROPN
ap-3033	201	4	stress	stress	NOUN
ap-3033	201	5	calculated	calculate	VERB
ap-3033	201	6	from	from	ADP
ap-3033	201	7	the	the	DET
ap-3033	201	8	momentum	momentum	NOUN
ap-3033	201	9	balance	balance	NOUN
ap-3033	201	10	(	(	PUNCT
ap-3033	201	11	15	15	NUM
ap-3033	201	12	)	)	PUNCT
ap-3033	201	13	describes	describe	VERB
ap-3033	201	14	the	the	DET
ap-3033	201	15	shear	shear	NOUN
ap-3033	201	16	stress	stress	NOUN
ap-3033	201	17	at	at	ADP
ap-3033	201	18	the	the	DET
ap-3033	201	19	103	103	NUM
ap-3033	201	20	d.	d.	PROPN
ap-3033	201	21	hromádka	hromádka	PROPN
ap-3033	201	22	,	,	PUNCT
ap-3033	201	23	h.	h.	PROPN
ap-3033	201	24	chlup	chlup	PROPN
ap-3033	201	25	,	,	PUNCT
ap-3033	201	26	r.	r.	PROPN
ap-3033	201	27	žitný	žitný	PROPN
ap-3033	201	28	acta	acta	PROPN
ap-3033	201	29	polytechnica	polytechnica	PROPN
ap-3033	201	30	wall	wall	PROPN
ap-3033	201	31	more	more	ADV
ap-3033	201	32	precisely	precisely	ADV
ap-3033	201	33	than	than	ADP
ap-3033	201	34	the	the	DET
ap-3033	201	35	shear	shear	NOUN
ap-3033	201	36	stress	stress	NOUN
ap-3033	201	37	that	that	PRON
ap-3033	201	38	was	be	AUX
ap-3033	201	39	evaluated	evaluate	VERB
ap-3033	201	40	from	from	ADP
ap-3033	201	41	the	the	DET
ap-3033	201	42	mechanical	mechanical	ADJ
ap-3033	201	43	energy	energy	NOUN
ap-3033	201	44	equation	equation	NOUN
ap-3033	201	45	(	(	PUNCT
ap-3033	201	46	16	16	NUM
ap-3033	201	47	)	)	PUNCT
ap-3033	201	48	.	.	PUNCT
ap-3033	202	1	other	other	ADJ
ap-3033	202	2	variational	variational	ADJ
ap-3033	202	3	methods	method	NOUN
ap-3033	202	4	were	be	AUX
ap-3033	202	5	tested	test	VERB
ap-3033	202	6	(	(	PUNCT
ap-3033	202	7	least	least	ADJ
ap-3033	202	8	square	square	ADJ
ap-3033	202	9	integral	integral	ADJ
ap-3033	202	10	energy	energy	NOUN
ap-3033	202	11	and	and	CCONJ
ap-3033	202	12	momentum	momentum	NOUN
ap-3033	202	13	,	,	PUNCT
ap-3033	202	14	an	an	DET
ap-3033	202	15	expert	expert	ADJ
ap-3033	202	16	estimate	estimate	NOUN
ap-3033	202	17	of	of	ADP
ap-3033	202	18	the	the	DET
ap-3033	202	19	weight	weight	NOUN
ap-3033	202	20	function	function	NOUN
ap-3033	202	21	with	with	ADP
ap-3033	202	22	integration	integration	NOUN
ap-3033	202	23	of	of	ADP
ap-3033	202	24	momentum	momentum	NOUN
ap-3033	202	25	,	,	PUNCT
ap-3033	202	26	and	and	CCONJ
ap-3033	202	27	also	also	ADV
ap-3033	202	28	the	the	DET
ap-3033	202	29	energy	energy	NOUN
ap-3033	202	30	equation	equation	NOUN
ap-3033	202	31	)	)	PUNCT
ap-3033	202	32	together	together	ADV
ap-3033	202	33	with	with	ADP
ap-3033	202	34	various	various	ADJ
ap-3033	202	35	integrations	integration	NOUN
ap-3033	202	36	of	of	ADP
ap-3033	202	37	differential	differential	ADJ
ap-3033	202	38	equations	equation	NOUN
ap-3033	202	39	(	(	PUNCT
ap-3033	202	40	over	over	ADP
ap-3033	202	41	the	the	DET
ap-3033	202	42	radius	radius	NOUN
ap-3033	202	43	and	and	CCONJ
ap-3033	202	44	over	over	ADP
ap-3033	202	45	the	the	DET
ap-3033	202	46	area	area	NOUN
ap-3033	202	47	)	)	PUNCT
ap-3033	202	48	.	.	PUNCT
ap-3033	203	1	the	the	DET
ap-3033	203	2	lowest	low	ADJ
ap-3033	203	3	error	error	NOUN
ap-3033	203	4	found	find	VERB
ap-3033	203	5	was	be	AUX
ap-3033	203	6	using	use	VERB
ap-3033	203	7	the	the	DET
ap-3033	203	8	galerkin	galerkin	ADJ
ap-3033	203	9	integral	integral	ADJ
ap-3033	203	10	momentum	momentum	NOUN
ap-3033	203	11	method	method	NOUN
ap-3033	203	12	with	with	ADP
ap-3033	203	13	integration	integration	NOUN
ap-3033	203	14	over	over	ADP
ap-3033	203	15	the	the	DET
ap-3033	203	16	area	area	NOUN
ap-3033	203	17	of	of	ADP
ap-3033	203	18	rigid	rigid	ADJ
ap-3033	203	19	pipe	pipe	NOUN
ap-3033	203	20	.	.	PUNCT
ap-3033	204	1	this	this	DET
ap-3033	204	2	method	method	NOUN
ap-3033	204	3	has	have	AUX
ap-3033	204	4	therefore	therefore	ADV
ap-3033	204	5	been	be	AUX
ap-3033	204	6	presented	present	VERB
ap-3033	204	7	in	in	ADP
ap-3033	204	8	this	this	DET
ap-3033	204	9	paper	paper	NOUN
ap-3033	204	10	.	.	PUNCT
ap-3033	205	1	5	5	X
ap-3033	205	2	.	.	X
ap-3033	205	3	appendix	appendix	VERB
ap-3033	205	4	for	for	ADP
ap-3033	205	5	illustration	illustration	NOUN
ap-3033	205	6	,	,	PUNCT
ap-3033	205	7	let	let	VERB
ap-3033	205	8	us	we	PRON
ap-3033	205	9	derive	derive	VERB
ap-3033	205	10	the	the	DET
ap-3033	205	11	balance	balance	NOUN
ap-3033	205	12	momentum	momentum	NOUN
ap-3033	205	13	with	with	ADP
ap-3033	205	14	the	the	DET
ap-3033	205	15	backflow	backflow	NOUN
ap-3033	205	16	(	(	PUNCT
ap-3033	205	17	15	15	NUM
ap-3033	205	18	)	)	PUNCT
ap-3033	205	19	.	.	PUNCT
ap-3033	206	1	we	we	PRON
ap-3033	206	2	recall	recall	VERB
ap-3033	206	3	equations	equation	NOUN
ap-3033	206	4	(	(	PUNCT
ap-3033	206	5	1	1	NUM
ap-3033	206	6	)	)	PUNCT
ap-3033	206	7	,	,	PUNCT
ap-3033	206	8	(	(	PUNCT
ap-3033	206	9	5	5	NUM
ap-3033	206	10	)	)	PUNCT
ap-3033	206	11	,	,	PUNCT
ap-3033	206	12	(	(	PUNCT
ap-3033	206	13	14	14	NUM
ap-3033	206	14	)	)	PUNCT
ap-3033	206	15	and	and	CCONJ
ap-3033	206	16	we	we	PRON
ap-3033	206	17	obtain	obtain	VERB
ap-3033	206	18	a	a	DET
ap-3033	206	19	set	set	NOUN
ap-3033	206	20	of	of	ADP
ap-3033	206	21	integral	integral	ADJ
ap-3033	206	22	equations	equation	NOUN
ap-3033	206	23	(	(	PUNCT
ap-3033	206	24	22	22	NUM
ap-3033	206	25	)	)	PUNCT
ap-3033	206	26	,	,	PUNCT
ap-3033	206	27	(	(	PUNCT
ap-3033	206	28	23	23	X
ap-3033	206	29	)	)	PUNCT
ap-3033	206	30	r∫	r∫	PROPN
ap-3033	206	31	0	0	NUM
ap-3033	206	32	{	{	PUNCT
ap-3033	206	33	ρ	ρ	X
ap-3033	206	34	[	[	PUNCT
ap-3033	206	35	du1(t	du1(t	PROPN
ap-3033	206	36	)	)	PUNCT
ap-3033	206	37	dt	dt	PUNCT
ap-3033	207	1	(	(	PUNCT
ap-3033	207	2	1	1	NUM
ap-3033	207	3	−	−	PROPN
ap-3033	207	4	r2	r2	NOUN
ap-3033	207	5	r2	r2	PROPN
ap-3033	207	6	)	)	PUNCT
ap-3033	208	1	+	+	CCONJ
ap-3033	208	2	du2(t	du2(t	PROPN
ap-3033	208	3	)	)	PUNCT
ap-3033	208	4	dt	dt	PUNCT
ap-3033	209	1	(	(	PUNCT
ap-3033	209	2	r2	r2	PROPN
ap-3033	209	3	r2	r2	PROPN
ap-3033	209	4	−	−	PROPN
ap-3033	209	5	r4	r4	PROPN
ap-3033	209	6	r4	r4	PROPN
ap-3033	209	7	)	)	PUNCT
ap-3033	209	8	]	]	PUNCT
ap-3033	210	1	+	+	CCONJ
ap-3033	210	2	p	p	X
ap-3033	210	3	−	−	PROPN
ap-3033	210	4	µ	µ	PRON
ap-3033	210	5	r	r	NOUN
ap-3033	210	6	[	[	PUNCT
ap-3033	210	7	−u1(t	−u1(t	ADJ
ap-3033	210	8	)	)	PUNCT
ap-3033	210	9	2r	2r	NUM
ap-3033	210	10	r2	r2	NOUN
ap-3033	210	11	+	+	CCONJ
ap-3033	210	12	u2(t	u2(t	NOUN
ap-3033	210	13	)	)	PUNCT
ap-3033	210	14	(	(	PUNCT
ap-3033	210	15	2r	2r	NUM
ap-3033	210	16	r2	r2	PROPN
ap-3033	210	17	−	−	PROPN
ap-3033	210	18	4r3	4r3	PROPN
ap-3033	210	19	r3	r3	PROPN
ap-3033	210	20	)	)	PUNCT
ap-3033	210	21	]	]	PUNCT
ap-3033	211	1	−	−	PROPN
ap-3033	211	2	µ	µ	X
ap-3033	211	3	[	[	PUNCT
ap-3033	211	4	−u1(t	−u1(t	ADJ
ap-3033	211	5	)	)	PUNCT
ap-3033	211	6	2	2	NUM
ap-3033	211	7	r2	r2	NOUN
ap-3033	211	8	+	+	CCONJ
ap-3033	211	9	u2(t	u2(t	NOUN
ap-3033	211	10	)	)	PUNCT
ap-3033	211	11	(	(	PUNCT
ap-3033	211	12	2	2	NUM
ap-3033	211	13	r2	r2	NOUN
ap-3033	211	14	−	−	PROPN
ap-3033	211	15	12r2	12r2	NUM
ap-3033	211	16	r4	r4	NOUN
ap-3033	211	17	)	)	PUNCT
ap-3033	211	18	]	]	PUNCT
ap-3033	211	19	}	}	PUNCT
ap-3033	211	20	(	(	PUNCT
ap-3033	211	21	1	1	NUM
ap-3033	211	22	−	−	PROPN
ap-3033	211	23	r2	r2	PROPN
ap-3033	211	24	r2	r2	PROPN
ap-3033	211	25	)	)	PUNCT
ap-3033	211	26	2πr	2πr	PROPN
ap-3033	212	1	dr	dr	PROPN
ap-3033	212	2	=	=	PROPN
ap-3033	212	3	0	0	PROPN
ap-3033	212	4	,	,	PUNCT
ap-3033	212	5	(	(	PUNCT
ap-3033	212	6	22	22	NUM
ap-3033	212	7	)	)	PUNCT
ap-3033	212	8	r∫	r∫	NOUN
ap-3033	212	9	0	0	NUM
ap-3033	212	10	{	{	PUNCT
ap-3033	212	11	ρ	ρ	X
ap-3033	212	12	[	[	PUNCT
ap-3033	212	13	du1(t	du1(t	PROPN
ap-3033	212	14	)	)	PUNCT
ap-3033	212	15	dt	dt	PUNCT
ap-3033	213	1	(	(	PUNCT
ap-3033	213	2	1	1	NUM
ap-3033	213	3	−	−	PROPN
ap-3033	213	4	r2	r2	NOUN
ap-3033	213	5	r2	r2	PROPN
ap-3033	213	6	)	)	PUNCT
ap-3033	214	1	+	+	CCONJ
ap-3033	214	2	du2(t	du2(t	PROPN
ap-3033	214	3	)	)	PUNCT
ap-3033	214	4	dt	dt	PUNCT
ap-3033	215	1	(	(	PUNCT
ap-3033	215	2	r2	r2	PROPN
ap-3033	215	3	r2	r2	PROPN
ap-3033	215	4	−	−	PROPN
ap-3033	215	5	r4	r4	PROPN
ap-3033	215	6	r4	r4	PROPN
ap-3033	215	7	)	)	PUNCT
ap-3033	215	8	]	]	PUNCT
ap-3033	216	1	+	+	CCONJ
ap-3033	216	2	p	p	X
ap-3033	216	3	−	−	PROPN
ap-3033	216	4	µ	µ	PRON
ap-3033	216	5	r	r	NOUN
ap-3033	216	6	[	[	PUNCT
ap-3033	216	7	−u1(t	−u1(t	ADJ
ap-3033	216	8	)	)	PUNCT
ap-3033	216	9	2r	2r	NUM
ap-3033	216	10	r2	r2	NOUN
ap-3033	216	11	+	+	CCONJ
ap-3033	216	12	u2(t	u2(t	NOUN
ap-3033	216	13	)	)	PUNCT
ap-3033	216	14	(	(	PUNCT
ap-3033	216	15	2r	2r	NUM
ap-3033	216	16	r2	r2	PROPN
ap-3033	216	17	−	−	PROPN
ap-3033	216	18	4r3	4r3	PROPN
ap-3033	216	19	r3	r3	PROPN
ap-3033	216	20	)	)	PUNCT
ap-3033	216	21	]	]	PUNCT
ap-3033	217	1	−	−	PROPN
ap-3033	217	2	µ	µ	X
ap-3033	217	3	[	[	PUNCT
ap-3033	217	4	−u1(t	−u1(t	ADJ
ap-3033	217	5	)	)	PUNCT
ap-3033	217	6	2	2	NUM
ap-3033	217	7	r2	r2	NOUN
ap-3033	217	8	+	+	CCONJ
ap-3033	217	9	u2(t	u2(t	NOUN
ap-3033	217	10	)	)	PUNCT
ap-3033	217	11	(	(	PUNCT
ap-3033	217	12	2	2	NUM
ap-3033	217	13	r2	r2	NOUN
ap-3033	217	14	−	−	PROPN
ap-3033	217	15	12r2	12r2	NUM
ap-3033	217	16	r4	r4	NOUN
ap-3033	217	17	)	)	PUNCT
ap-3033	217	18	]	]	PUNCT
ap-3033	217	19	}	}	PUNCT
ap-3033	217	20	(	(	PUNCT
ap-3033	217	21	r2	r2	PROPN
ap-3033	217	22	r2	r2	PROPN
ap-3033	217	23	−	−	PROPN
ap-3033	217	24	r4	r4	PROPN
ap-3033	217	25	r4	r4	PROPN
ap-3033	217	26	)	)	PUNCT
ap-3033	217	27	2πr	2πr	PROPN
ap-3033	218	1	dr	dr	PROPN
ap-3033	218	2	=	=	PROPN
ap-3033	218	3	0	0	PROPN
ap-3033	218	4	.	.	PUNCT
ap-3033	219	1	(	(	PUNCT
ap-3033	219	2	23	23	NUM
ap-3033	219	3	)	)	PUNCT
ap-3033	219	4	the	the	DET
ap-3033	219	5	inner	inner	ADJ
ap-3033	219	6	product	product	NOUN
ap-3033	219	7	of	of	ADP
ap-3033	219	8	differential	differential	ADJ
ap-3033	219	9	equations	equation	NOUN
ap-3033	219	10	and	and	CCONJ
ap-3033	219	11	weighted	weight	VERB
ap-3033	219	12	basis	basis	NOUN
ap-3033	219	13	functions	function	NOUN
ap-3033	219	14	integrated	integrate	VERB
ap-3033	219	15	over	over	ADP
ap-3033	219	16	the	the	DET
ap-3033	219	17	area	area	NOUN
ap-3033	219	18	yield	yield	VERB
ap-3033	219	19	two	two	NUM
ap-3033	219	20	ordinary	ordinary	ADJ
ap-3033	219	21	differential	differential	ADJ
ap-3033	219	22	equations	equation	NOUN
ap-3033	219	23	(	(	PUNCT
ap-3033	219	24	24	24	NUM
ap-3033	219	25	)	)	PUNCT
ap-3033	219	26	,	,	PUNCT
ap-3033	219	27	(	(	PUNCT
ap-3033	219	28	25	25	NUM
ap-3033	219	29	)	)	PUNCT
ap-3033	219	30	for	for	ADP
ap-3033	219	31	unknown	unknown	ADJ
ap-3033	219	32	center	center	ADJ
ap-3033	219	33	-	-	PUNCT
ap-3033	219	34	line	line	NOUN
ap-3033	219	35	velocity	velocity	NOUN
ap-3033	219	36	u1(t	u1(t	ADP
ap-3033	219	37	)	)	PUNCT
ap-3033	219	38	,	,	PUNCT
ap-3033	219	39	u2(t	u2(t	NOUN
ap-3033	219	40	)	)	PUNCT
ap-3033	219	41	1	1	NUM
ap-3033	219	42	3r	3r	NUM
ap-3033	219	43	2ρ	2ρ	NOUN
ap-3033	219	44	du1(t	du1(t	PROPN
ap-3033	219	45	)	)	PUNCT
ap-3033	219	46	dt	dt	X
ap-3033	220	1	+	+	NOUN
ap-3033	220	2	1	1	NUM
ap-3033	220	3	12r	12r	NUM
ap-3033	220	4	2ρ	2ρ	NUM
ap-3033	220	5	du2(t	du2(t	PROPN
ap-3033	220	6	)	)	PUNCT
ap-3033	220	7	dt	dt	PUNCT
ap-3033	221	1	+	+	CCONJ
ap-3033	221	2	2µu1	2µu1	NUM
ap-3033	221	3	(	(	PUNCT
ap-3033	221	4	t	t	NOUN
ap-3033	221	5	)	)	PUNCT
ap-3033	221	6	+	+	CCONJ
ap-3033	221	7	2	2	NUM
ap-3033	221	8	3µu2(t	3µu2(t	NUM
ap-3033	221	9	)	)	PUNCT
ap-3033	222	1	+	+	CCONJ
ap-3033	222	2	1	1	NUM
ap-3033	222	3	2r	2r	NUM
ap-3033	222	4	2p	2p	NUM
ap-3033	222	5	=	=	SYM
ap-3033	222	6	0	0	NUM
ap-3033	222	7	,	,	PUNCT
ap-3033	222	8	(	(	PUNCT
ap-3033	222	9	24	24	NUM
ap-3033	222	10	)	)	SYM
ap-3033	222	11	1	1	NUM
ap-3033	222	12	12r	12r	NOUN
ap-3033	222	13	2ρ	2ρ	NUM
ap-3033	222	14	du1(t	du1(t	PROPN
ap-3033	222	15	)	)	PUNCT
ap-3033	222	16	dt	dt	VERB
ap-3033	223	1	+	+	NOUN
ap-3033	223	2	1	1	NUM
ap-3033	223	3	30r	30r	NUM
ap-3033	223	4	2ρ	2ρ	NOUN
ap-3033	223	5	du2(t	du2(t	PROPN
ap-3033	223	6	)	)	PUNCT
ap-3033	223	7	dt	dt	PUNCT
ap-3033	224	1	+	+	CCONJ
ap-3033	224	2	2	2	NUM
ap-3033	224	3	3µu1(t	3µu1(t	NUM
ap-3033	224	4	)	)	PUNCT
ap-3033	225	1	+	+	CCONJ
ap-3033	225	2	2	2	NUM
ap-3033	225	3	3µu2(t	3µu2(t	NUM
ap-3033	225	4	)	)	PUNCT
ap-3033	226	1	+	+	CCONJ
ap-3033	226	2	1	1	NUM
ap-3033	226	3	6r	6r	NUM
ap-3033	226	4	2p	2p	NUM
ap-3033	226	5	=	=	SYM
ap-3033	226	6	0	0	NUM
ap-3033	226	7	.	.	PUNCT
ap-3033	227	1	(	(	PUNCT
ap-3033	227	2	25	25	NUM
ap-3033	227	3	)	)	PUNCT
ap-3033	227	4	we	we	PRON
ap-3033	227	5	can	can	AUX
ap-3033	227	6	formulate	formulate	VERB
ap-3033	227	7	the	the	DET
ap-3033	227	8	center	center	ADJ
ap-3033	227	9	-	-	PUNCT
ap-3033	227	10	line	line	NOUN
ap-3033	227	11	velocity	velocity	NOUN
ap-3033	227	12	in	in	ADP
ap-3033	227	13	terms	term	NOUN
ap-3033	227	14	of	of	ADP
ap-3033	227	15	flowrates	flowrate	NOUN
ap-3033	227	16	.	.	PUNCT
ap-3033	228	1	this	this	PRON
ap-3033	228	2	can	can	AUX
ap-3033	228	3	be	be	AUX
ap-3033	228	4	done	do	VERB
ap-3033	228	5	easily	easily	ADV
ap-3033	228	6	through	through	ADP
ap-3033	228	7	(	(	PUNCT
ap-3033	228	8	9	9	NUM
ap-3033	228	9	)	)	PUNCT
ap-3033	228	10	u1(t	u1(t	PRON
ap-3033	228	11	)	)	PUNCT
ap-3033	228	12	=	=	SYM
ap-3033	228	13	1	1	NUM
ap-3033	228	14	πr2	πr2	NOUN
ap-3033	228	15	(	(	PUNCT
ap-3033	228	16	2q(t	2q(t	NUM
ap-3033	228	17	)	)	PUNCT
ap-3033	229	1	−	−	ADP
ap-3033	229	2	2q2(t	2q2(t	NOUN
ap-3033	229	3	)	)	PUNCT
ap-3033	229	4	)	)	PUNCT
ap-3033	229	5	,	,	PUNCT
ap-3033	229	6	(	(	PUNCT
ap-3033	229	7	26	26	NUM
ap-3033	229	8	)	)	PUNCT
ap-3033	229	9	u2(t	u2(t	NOUN
ap-3033	229	10	)	)	PUNCT
ap-3033	229	11	=	=	SYM
ap-3033	229	12	1	1	NUM
ap-3033	229	13	πr2	πr2	NOUN
ap-3033	229	14	(	(	PUNCT
ap-3033	229	15	6q2(t	6q2(t	NOUN
ap-3033	229	16	)	)	PUNCT
ap-3033	229	17	)	)	PUNCT
ap-3033	229	18	.	.	PUNCT
ap-3033	230	1	(	(	PUNCT
ap-3033	230	2	27	27	X
ap-3033	230	3	)	)	PUNCT
ap-3033	230	4	combining	combine	VERB
ap-3033	230	5	(	(	PUNCT
ap-3033	230	6	24),(25	24),(25	NOUN
ap-3033	230	7	)	)	PUNCT
ap-3033	230	8	with	with	ADP
ap-3033	230	9	(	(	PUNCT
ap-3033	230	10	26	26	NUM
ap-3033	230	11	)	)	PUNCT
ap-3033	230	12	,	,	PUNCT
ap-3033	230	13	(	(	PUNCT
ap-3033	230	14	27	27	NUM
ap-3033	230	15	)	)	PUNCT
ap-3033	230	16	leads	lead	VERB
ap-3033	230	17	to	to	ADP
ap-3033	230	18	a	a	DET
ap-3033	230	19	set	set	NOUN
ap-3033	230	20	of	of	ADP
ap-3033	230	21	a	a	DET
ap-3033	230	22	differential	differential	ADJ
ap-3033	230	23	equations	equation	NOUN
ap-3033	230	24	for	for	ADP
ap-3033	230	25	describing	describe	VERB
ap-3033	230	26	the	the	DET
ap-3033	230	27	non	non	ADJ
ap-3033	230	28	-	-	ADJ
ap-3033	230	29	stationary	stationary	ADJ
ap-3033	230	30	flowrates	flowrate	NOUN
ap-3033	230	31	within	within	ADP
ap-3033	230	32	a	a	DET
ap-3033	230	33	rigid	rigid	ADJ
ap-3033	230	34	pipe	pipe	NOUN
ap-3033	230	35	of	of	ADP
ap-3033	230	36	constant	constant	ADJ
ap-3033	230	37	diameter	diameter	NOUN
ap-3033	230	38	ρr2	ρr2	NOUN
ap-3033	230	39	(	(	PUNCT
ap-3033	230	40	4	4	NUM
ap-3033	230	41	−1	−1	NOUN
ap-3033	230	42	5	5	NUM
ap-3033	230	43	1	1	NUM
ap-3033	230	44	)	)	PUNCT
ap-3033	230	45	dq	dq	PROPN
ap-3033	230	46	dt	dt	NOUN
ap-3033	230	47	dq2	dq2	NOUN
ap-3033	230	48	dt	dt	PROPN
ap-3033	230	49	+πr4	+πr4	PROPN
ap-3033	230	50	(	(	PUNCT
ap-3033	230	51	3	3	NUM
ap-3033	230	52	5	5	NUM
ap-3033	230	53	)	)	PUNCT
ap-3033	230	54	p+µ	p+µ	PROPN
ap-3033	230	55	(	(	PUNCT
ap-3033	230	56	24	24	NUM
ap-3033	230	57	0	0	NUM
ap-3033	230	58	40	40	NUM
ap-3033	230	59	80	80	NUM
ap-3033	230	60	)	)	PUNCT
ap-3033	230	61	(	(	PUNCT
ap-3033	230	62	q	q	NOUN
ap-3033	230	63	q2	q2	NOUN
ap-3033	230	64	)	)	PUNCT
ap-3033	230	65	=	=	PUNCT
ap-3033	231	1	0	0	X
ap-3033	231	2	.	.	PUNCT
ap-3033	232	1	(	(	PUNCT
ap-3033	232	2	28	28	NUM
ap-3033	232	3	)	)	PUNCT
ap-3033	232	4	simple	simple	ADJ
ap-3033	232	5	manipulation	manipulation	NOUN
ap-3033	232	6	of	of	ADP
ap-3033	232	7	(	(	PUNCT
ap-3033	232	8	28	28	NUM
ap-3033	232	9	)	)	PUNCT
ap-3033	232	10	yields	yield	VERB
ap-3033	232	11	the	the	DET
ap-3033	232	12	standard	standard	ADJ
ap-3033	232	13	set	set	NOUN
ap-3033	232	14	of	of	ADP
ap-3033	232	15	equations	equation	NOUN
ap-3033	232	16	(	(	PUNCT
ap-3033	232	17	15	15	NUM
ap-3033	232	18	)	)	PUNCT
ap-3033	232	19	.	.	PUNCT
ap-3033	233	1	equations	equation	NOUN
ap-3033	233	2	(	(	PUNCT
ap-3033	233	3	16	16	NUM
ap-3033	233	4	)	)	PUNCT
ap-3033	233	5	are	be	AUX
ap-3033	233	6	derived	derive	VERB
ap-3033	233	7	in	in	ADP
ap-3033	233	8	a	a	DET
ap-3033	233	9	similar	similar	ADJ
ap-3033	233	10	manner	manner	NOUN
ap-3033	233	11	.	.	PUNCT
ap-3033	234	1	list	list	NOUN
ap-3033	234	2	of	of	ADP
ap-3033	234	3	symbols	symbol	NOUN
ap-3033	234	4	α	α	PROPN
ap-3033	234	5	womersley	womersley	PROPN
ap-3033	234	6	number	number	NOUN
ap-3033	234	7	[	[	X
ap-3033	234	8	–	–	PUNCT
ap-3033	234	9	]	]	PUNCT
ap-3033	234	10	ρ	ρ	NUM
ap-3033	234	11	water	water	NOUN
ap-3033	234	12	density	density	NOUN
ap-3033	235	1	[	[	X
ap-3033	235	2	kg	kg	X
ap-3033	235	3	m−3	m−3	PROPN
ap-3033	235	4	]	]	X
ap-3033	235	5	τ	τ	PROPN
ap-3033	235	6	wall	wall	PROPN
ap-3033	235	7	shear	shear	PROPN
ap-3033	235	8	stress	stress	NOUN
ap-3033	236	1	[	[	X
ap-3033	236	2	pa	pa	X
ap-3033	236	3	]	]	X
ap-3033	236	4	µ	µ	PRON
ap-3033	236	5	dynamic	dynamic	ADJ
ap-3033	236	6	viscosity	viscosity	NOUN
ap-3033	236	7	[	[	X
ap-3033	236	8	pa	pa	PROPN
ap-3033	236	9	s	s	X
ap-3033	236	10	]	]	X
ap-3033	236	11	ω	ω	NUM
ap-3033	236	12	angular	angular	ADJ
ap-3033	236	13	frequency	frequency	NOUN
ap-3033	236	14	[	[	X
ap-3033	236	15	rad	rad	NOUN
ap-3033	236	16	s−1	s−1	PROPN
ap-3033	236	17	]	]	X
ap-3033	236	18	i	i	PROPN
ap-3033	236	19	i	i	PROPN
ap-3033	236	20	-	-	PUNCT
ap-3033	236	21	th	th	X
ap-3033	236	22	index	index	NOUN
ap-3033	236	23	[	[	X
ap-3033	236	24	–	–	PUNCT
ap-3033	236	25	]	]	PUNCT
ap-3033	236	26	i	i	PRON
ap-3033	236	27	imaginary	imaginary	ADJ
ap-3033	236	28	unit	unit	NOUN
ap-3033	237	1	[	[	X
ap-3033	237	2	–	–	PUNCT
ap-3033	237	3	]	]	PUNCT
ap-3033	237	4	n	n	CCONJ
ap-3033	237	5	n	n	CCONJ
ap-3033	237	6	-	-	PUNCT
ap-3033	237	7	th	th	X
ap-3033	237	8	index	index	NOUN
ap-3033	237	9	[	[	X
ap-3033	237	10	–	–	PUNCT
ap-3033	237	11	]	]	PUNCT
ap-3033	237	12	ni	ni	ADJ
ap-3033	237	13	basis	basis	NOUN
ap-3033	237	14	function	function	NOUN
ap-3033	238	1	[	[	X
ap-3033	238	2	–	–	PUNCT
ap-3033	238	3	]	]	X
ap-3033	238	4	p	p	X
ap-3033	238	5	pressure	pressure	NOUN
ap-3033	238	6	[	[	X
ap-3033	238	7	pa	pa	X
ap-3033	238	8	]	]	X
ap-3033	238	9	p	p	X
ap-3033	238	10	pressure	pressure	NOUN
ap-3033	238	11	gradient	gradient	NOUN
ap-3033	239	1	[	[	X
ap-3033	239	2	pa	pa	PROPN
ap-3033	239	3	m−1	m−1	PROPN
ap-3033	239	4	]	]	PUNCT
ap-3033	239	5	pamp	pamp	NOUN
ap-3033	239	6	amplitude	amplitude	NOUN
ap-3033	239	7	of	of	ADP
ap-3033	239	8	the	the	DET
ap-3033	239	9	nonstationary	nonstationary	ADJ
ap-3033	239	10	part	part	NOUN
ap-3033	239	11	of	of	ADP
ap-3033	239	12	gradient	gradient	ADJ
ap-3033	239	13	pressure	pressure	NOUN
ap-3033	239	14	[	[	X
ap-3033	239	15	pa	pa	PROPN
ap-3033	239	16	m−1	m−1	PROPN
ap-3033	239	17	]	]	PUNCT
ap-3033	239	18	q	q	PROPN
ap-3033	239	19	total	total	ADJ
ap-3033	239	20	flowrate	flowrate	NOUN
ap-3033	239	21	[	[	X
ap-3033	239	22	m3	m3	PROPN
ap-3033	239	23	s−1	s−1	PROPN
ap-3033	239	24	]	]	PUNCT
ap-3033	239	25	qi	qi	X
ap-3033	239	26	corrective	corrective	ADJ
ap-3033	239	27	flowrate	flowrate	NOUN
ap-3033	240	1	[	[	X
ap-3033	240	2	m3	m3	PROPN
ap-3033	240	3	s−1	s−1	PROPN
ap-3033	240	4	]	]	PUNCT
ap-3033	240	5	qfd	qfd	NOUN
ap-3033	240	6	total	total	ADJ
ap-3033	240	7	flowrate	flowrate	NOUN
ap-3033	240	8	calculated	calculate	VERB
ap-3033	240	9	from	from	ADP
ap-3033	240	10	finite	finite	ADJ
ap-3033	240	11	difference	difference	NOUN
ap-3033	240	12	method	method	NOUN
ap-3033	240	13	[	[	X
ap-3033	240	14	m3	m3	PROPN
ap-3033	240	15	s−1	s−1	PROPN
ap-3033	240	16	]	]	PUNCT
ap-3033	240	17	r	r	NOUN
ap-3033	240	18	radial	radial	ADJ
ap-3033	240	19	coordinate	coordinate	NOUN
ap-3033	240	20	[	[	X
ap-3033	240	21	m	m	X
ap-3033	240	22	]	]	X
ap-3033	240	23	r∗	r∗	ADJ
ap-3033	240	24	dimensionless	dimensionless	NOUN
ap-3033	240	25	radial	radial	ADJ
ap-3033	240	26	coordinate	coordinate	NOUN
ap-3033	241	1	[	[	X
ap-3033	241	2	–	–	PUNCT
ap-3033	241	3	]	]	X
ap-3033	241	4	r	r	NOUN
ap-3033	241	5	radius	radius	NOUN
ap-3033	241	6	of	of	ADP
ap-3033	241	7	the	the	DET
ap-3033	241	8	tube	tube	NOUN
ap-3033	242	1	[	[	X
ap-3033	242	2	m	m	X
ap-3033	242	3	]	]	X
ap-3033	242	4	t	t	NOUN
ap-3033	242	5	time	time	NOUN
ap-3033	242	6	[	[	X
ap-3033	242	7	s	s	X
ap-3033	242	8	]	]	X
ap-3033	242	9	t∗	t∗	NOUN
ap-3033	242	10	dimensionless	dimensionless	NOUN
ap-3033	242	11	time	time	NOUN
ap-3033	242	12	[	[	X
ap-3033	242	13	–	–	PUNCT
ap-3033	242	14	]	]	X
ap-3033	242	15	u	u	NOUN
ap-3033	242	16	fluid	fluid	ADJ
ap-3033	242	17	velocity	velocity	NOUN
ap-3033	243	1	[	[	X
ap-3033	243	2	m	m	NOUN
ap-3033	243	3	s−1	s−1	PROPN
ap-3033	243	4	]	]	PUNCT
ap-3033	243	5	u∗	u∗	ADJ
ap-3033	243	6	dimensionless	dimensionless	NOUN
ap-3033	243	7	velocity	velocity	NOUN
ap-3033	243	8	[	[	X
ap-3033	243	9	–	–	PUNCT
ap-3033	243	10	]	]	PUNCT
ap-3033	243	11	ui	ui	NOUN
ap-3033	243	12	velocity	velocity	NOUN
ap-3033	243	13	amplitude	amplitude	NOUN
ap-3033	243	14	[	[	X
ap-3033	243	15	m	m	NOUN
ap-3033	243	16	s−1	s−1	PROPN
ap-3033	243	17	]	]	PUNCT
ap-3033	243	18	ū	ū	NOUN
ap-3033	243	19	average	average	ADJ
ap-3033	243	20	velocity	velocity	NOUN
ap-3033	243	21	amplitude	amplitude	NOUN
ap-3033	243	22	[	[	X
ap-3033	243	23	m	m	NOUN
ap-3033	243	24	s−1	s−1	PROPN
ap-3033	243	25	]	]	PUNCT
ap-3033	243	26	wj	wj	PROPN
ap-3033	243	27	j	j	PROPN
ap-3033	243	28	-	-	PUNCT
ap-3033	243	29	th	th	VERB
ap-3033	243	30	weight	weight	NOUN
ap-3033	243	31	function	function	NOUN
ap-3033	244	1	[	[	X
ap-3033	244	2	m	m	X
ap-3033	244	3	]	]	X
ap-3033	244	4	x	x	SYM
ap-3033	244	5	axial	axial	ADJ
ap-3033	244	6	coordinate	coordinate	NOUN
ap-3033	244	7	[	[	X
ap-3033	244	8	m	m	X
ap-3033	244	9	]	]	X
ap-3033	244	10	x∗	x∗	PROPN
ap-3033	244	11	dimensionless	dimensionless	ADJ
ap-3033	244	12	axial	axial	ADJ
ap-3033	244	13	coordinate	coordinate	NOUN
ap-3033	244	14	[	[	X
ap-3033	244	15	–	–	PUNCT
ap-3033	244	16	]	]	PUNCT
ap-3033	244	17	res	re	NOUN
ap-3033	244	18	residual	residual	ADJ
ap-3033	244	19	[	[	X
ap-3033	244	20	pa	pa	PROPN
ap-3033	244	21	m	m	PROPN
ap-3033	244	22	]	]	PUNCT
ap-3033	244	23	error	error	NOUN
ap-3033	244	24	deviation	deviation	NOUN
ap-3033	244	25	of	of	ADP
ap-3033	244	26	the	the	DET
ap-3033	244	27	flowrate	flowrate	ADJ
ap-3033	244	28	[	[	X
ap-3033	244	29	–	–	PUNCT
ap-3033	244	30	]	]	PUNCT
ap-3033	244	31	a	a	DET
ap-3033	244	32	matrix	matrix	NOUN
ap-3033	244	33	flowrate	flowrate	ADJ
ap-3033	244	34	coefficients	coefficient	NOUN
ap-3033	244	35	[	[	X
ap-3033	244	36	–	–	PUNCT
ap-3033	244	37	]	]	X
ap-3033	244	38	kb	kb	PROPN
ap-3033	244	39	stiffnes	stiffne	NOUN
ap-3033	244	40	matrix	matrix	NOUN
ap-3033	244	41	of	of	ADP
ap-3033	244	42	the	the	DET
ap-3033	244	43	momentum	momentum	NOUN
ap-3033	244	44	balance	balance	NOUN
ap-3033	244	45	[	[	X
ap-3033	244	46	–	–	PUNCT
ap-3033	244	47	]	]	X
ap-3033	244	48	kk	kk	PROPN
ap-3033	244	49	stiffnes	stiffne	NOUN
ap-3033	244	50	matrix	matrix	NOUN
ap-3033	244	51	of	of	ADP
ap-3033	244	52	the	the	DET
ap-3033	244	53	kinetic	kinetic	ADJ
ap-3033	244	54	balance	balance	NOUN
ap-3033	244	55	[	[	X
ap-3033	244	56	–	–	PUNCT
ap-3033	244	57	]	]	X
ap-3033	244	58	mb	mb	ADP
ap-3033	244	59	mass	mass	NOUN
ap-3033	244	60	matrix	matrix	NOUN
ap-3033	244	61	of	of	ADP
ap-3033	244	62	the	the	DET
ap-3033	244	63	momentum	momentum	NOUN
ap-3033	244	64	balance	balance	NOUN
ap-3033	244	65	[	[	X
ap-3033	244	66	m2	m2	PROPN
ap-3033	244	67	]	]	SYM
ap-3033	244	68	mk	mk	PROPN
ap-3033	244	69	mass	mass	NOUN
ap-3033	244	70	matrix	matrix	NOUN
ap-3033	244	71	of	of	ADP
ap-3033	244	72	the	the	DET
ap-3033	244	73	kinetic	kinetic	ADJ
ap-3033	244	74	balance	balance	NOUN
ap-3033	244	75	[	[	X
ap-3033	244	76	m2	m2	X
ap-3033	244	77	]	]	X
ap-3033	244	78	nb	nb	PROPN
ap-3033	244	79	coefficients	coefficient	NOUN
ap-3033	244	80	of	of	ADP
ap-3033	244	81	driving	drive	VERB
ap-3033	244	82	force	force	NOUN
ap-3033	244	83	[	[	X
ap-3033	244	84	m2	m2	PROPN
ap-3033	244	85	]	]	X
ap-3033	244	86	nk	nk	PROPN
ap-3033	244	87	coefficients	coefficient	NOUN
ap-3033	244	88	of	of	ADP
ap-3033	244	89	driving	drive	VERB
ap-3033	244	90	force	force	NOUN
ap-3033	244	91	[	[	X
ap-3033	244	92	m2	m2	X
ap-3033	244	93	]	]	X
ap-3033	244	94	q	q	X
ap-3033	244	95	flowrate	flowrate	ADJ
ap-3033	244	96	vector	vector	NOUN
ap-3033	244	97	[	[	X
ap-3033	244	98	m3	m3	PROPN
ap-3033	244	99	s−1	s−1	PROPN
ap-3033	244	100	]	]	PUNCT
ap-3033	244	101	104	104	NUM
ap-3033	244	102	vol	vol	NOUN
ap-3033	244	103	.	.	PUNCT
ap-3033	245	1	56	56	NUM
ap-3033	245	2	no	no	NOUN
ap-3033	245	3	.	.	PUNCT
ap-3033	246	1	2/2016	2/2016	NUM
ap-3033	246	2	integral	integral	ADJ
ap-3033	246	3	methods	method	NOUN
ap-3033	246	4	for	for	ADP
ap-3033	246	5	describing	describe	VERB
ap-3033	246	6	pulsatile	pulsatile	NOUN
ap-3033	246	7	flow	flow	NOUN
ap-3033	246	8	acknowledgements	acknowledgement	NOUN
ap-3033	246	9	this	this	DET
ap-3033	246	10	work	work	NOUN
ap-3033	246	11	has	have	AUX
ap-3033	246	12	been	be	AUX
ap-3033	246	13	supported	support	VERB
ap-3033	246	14	by	by	ADP
ap-3033	246	15	czech	czech	PROPN
ap-3033	246	16	technical	technical	PROPN
ap-3033	246	17	university	university	PROPN
ap-3033	246	18	in	in	ADP
ap-3033	246	19	prague	prague	PROPN
ap-3033	246	20	grant	grant	VERB
ap-3033	246	21	no	no	INTJ
ap-3033	246	22	.	.	PUNCT
ap-3033	247	1	sgs13/176	sgs13/176	NOUN
ap-3033	247	2	/	/	SYM
ap-3033	247	3	ohk2/3t/12	ohk2/3t/12	PROPN
ap-3033	247	4	and	and	CCONJ
ap-3033	247	5	by	by	ADP
ap-3033	247	6	ministry	ministry	PROPN
ap-3033	247	7	of	of	ADP
ap-3033	247	8	health	health	PROPN
ap-3033	247	9	project	project	PROPN
ap-3033	247	10	nos	nos	PROPN
ap-3033	247	11	.	.	PUNCT
ap-3033	248	1	cr	cr	PROPN
ap-3033	248	2	nt	not	PART
ap-3033	248	3	13302	13302	NUM
ap-3033	248	4	and	and	CCONJ
ap-3033	248	5	15	15	NUM
ap-3033	248	6	-	-	NOUN
ap-3033	248	7	27941a	27941a	NUM
ap-3033	248	8	.	.	PUNCT
ap-3033	249	1	references	reference	NOUN
ap-3033	249	2	[	[	X
ap-3033	249	3	1	1	NUM
ap-3033	249	4	]	]	PUNCT
ap-3033	249	5	m.	m.	NOUN
ap-3033	249	6	zamir	zamir	PROPN
ap-3033	249	7	.	.	PUNCT
ap-3033	250	1	the	the	DET
ap-3033	250	2	physics	physics	PROPN
ap-3033	250	3	of	of	ADP
ap-3033	250	4	pulsatile	pulsatile	NOUN
ap-3033	250	5	flow	flow	NOUN
ap-3033	250	6	.	.	PUNCT
ap-3033	251	1	springer	springer	NOUN
ap-3033	251	2	science	science	PROPN
ap-3033	251	3	business	business	NOUN
ap-3033	251	4	media	medium	NOUN
ap-3033	251	5	,	,	PUNCT
ap-3033	251	6	2000	2000	NUM
ap-3033	251	7	.	.	PUNCT
ap-3033	252	1	doi:10.1007/978	doi:10.1007/978	NOUN
ap-3033	252	2	-	-	PUNCT
ap-3033	252	3	1	1	NUM
ap-3033	252	4	-	-	PUNCT
ap-3033	252	5	4612	4612	NUM
ap-3033	252	6	-	-	PUNCT
ap-3033	252	7	1282	1282	NUM
ap-3033	252	8	-	-	SYM
ap-3033	252	9	9	9	NUM
ap-3033	252	10	.	.	PUNCT
ap-3033	253	1	[	[	X
ap-3033	253	2	2	2	X
ap-3033	253	3	]	]	PUNCT
ap-3033	253	4	t.	t.	PROPN
ap-3033	253	5	sexl	sexl	PROPN
ap-3033	253	6	.	.	PUNCT
ap-3033	254	1	über	über	PROPN
ap-3033	254	2	den	den	PROPN
ap-3033	254	3	von	von	PROPN
ap-3033	254	4	e.	e.	PROPN
ap-3033	254	5	g.	g.	PROPN
ap-3033	254	6	richardson	richardson	PROPN
ap-3033	254	7	entdeckten	entdeckten	PROPN
ap-3033	254	8	annulareffekt	annulareffekt	PROPN
ap-3033	254	9	.	.	PUNCT
ap-3033	255	1	zeitschrift	zeitschrift	PROPN
ap-3033	255	2	für	für	PROPN
ap-3033	255	3	physik	physik	PROPN
ap-3033	255	4	61(5	61(5	PROPN
ap-3033	255	5	-	-	PUNCT
ap-3033	255	6	6):349–362	6):349–362	NUM
ap-3033	255	7	,	,	PUNCT
ap-3033	255	8	1930	1930	NUM
ap-3033	255	9	.	.	PUNCT
ap-3033	256	1	doi:10.1007	doi:10.1007	PROPN
ap-3033	256	2	/	/	SYM
ap-3033	256	3	bf01340631	bf01340631	NOUN
ap-3033	256	4	.	.	PUNCT
ap-3033	257	1	[	[	X
ap-3033	257	2	3	3	X
ap-3033	257	3	]	]	PUNCT
ap-3033	257	4	p.	p.	PROPN
ap-3033	257	5	j.	j.	PROPN
ap-3033	257	6	szymanski	szymanski	PROPN
ap-3033	257	7	.	.	PUNCT
ap-3033	258	1	quelques	quelque	NOUN
ap-3033	258	2	solutions	solution	NOUN
ap-3033	258	3	exactes	exact	VERB
ap-3033	258	4	des	des	PROPN
ap-3033	258	5	équations	équations	PROPN
ap-3033	258	6	de	de	X
ap-3033	258	7	l’hydrodynamique	l’hydrodynamique	X
ap-3033	258	8	du	du	PROPN
ap-3033	258	9	fluide	fluide	PROPN
ap-3033	258	10	visqueux	visqueux	PROPN
ap-3033	258	11	dans	dans	PROPN
ap-3033	258	12	le	le	X
ap-3033	258	13	cas	cas	PROPN
ap-3033	258	14	d’un	d’un	PROPN
ap-3033	258	15	tube	tube	NOUN
ap-3033	258	16	cylindrique	cylindrique	NOUN
ap-3033	258	17	.	.	PUNCT
ap-3033	259	1	j	j	PROPN
ap-3033	259	2	math	math	PROPN
ap-3033	259	3	pures	pure	VERB
ap-3033	259	4	appl	appl	PROPN
ap-3033	259	5	9(11):67–107	9(11):67–107	PROPN
ap-3033	259	6	,	,	PUNCT
ap-3033	259	7	1932	1932	NUM
ap-3033	259	8	.	.	PUNCT
ap-3033	260	1	[	[	X
ap-3033	260	2	4	4	X
ap-3033	260	3	]	]	PUNCT
ap-3033	260	4	j.	j.	PROPN
ap-3033	260	5	r.	r.	PROPN
ap-3033	260	6	womersley	womersley	PROPN
ap-3033	260	7	.	.	PUNCT
ap-3033	260	8	method	method	NOUN
ap-3033	260	9	for	for	ADP
ap-3033	260	10	the	the	DET
ap-3033	260	11	calculation	calculation	NOUN
ap-3033	260	12	of	of	ADP
ap-3033	260	13	velocity	velocity	NOUN
ap-3033	260	14	,	,	PUNCT
ap-3033	260	15	rate	rate	NOUN
ap-3033	260	16	of	of	ADP
ap-3033	260	17	flow	flow	NOUN
ap-3033	260	18	and	and	CCONJ
ap-3033	260	19	viscous	viscous	ADJ
ap-3033	260	20	drag	drag	NOUN
ap-3033	260	21	in	in	ADP
ap-3033	260	22	arteries	artery	NOUN
ap-3033	260	23	when	when	SCONJ
ap-3033	260	24	the	the	DET
ap-3033	260	25	pressure	pressure	NOUN
ap-3033	260	26	gradient	gradient	NOUN
ap-3033	260	27	is	be	AUX
ap-3033	260	28	known	know	VERB
ap-3033	260	29	.	.	PUNCT
ap-3033	261	1	the	the	DET
ap-3033	261	2	journal	journal	NOUN
ap-3033	261	3	of	of	ADP
ap-3033	261	4	physiology	physiology	NOUN
ap-3033	261	5	127(3):553	127(3):553	NOUN
ap-3033	261	6	–	–	PUNCT
ap-3033	261	7	563	563	NUM
ap-3033	261	8	,	,	PUNCT
ap-3033	261	9	1955	1955	NUM
ap-3033	261	10	.	.	PUNCT
ap-3033	262	1	doi:10.1113	doi:10.1113	PROPN
ap-3033	262	2	/	/	SYM
ap-3033	262	3	jphysiol.1955.sp005276	jphysiol.1955.sp005276	NOUN
ap-3033	262	4	.	.	PUNCT
ap-3033	263	1	[	[	X
ap-3033	263	2	5	5	X
ap-3033	263	3	]	]	PUNCT
ap-3033	263	4	m.	m.	NOUN
ap-3033	263	5	y.	y.	PROPN
ap-3033	263	6	gundogdu	gundogdu	PROPN
ap-3033	263	7	,	,	PUNCT
ap-3033	263	8	m.	m.	NOUN
ap-3033	263	9	o.	o.	PROPN
ap-3033	263	10	carpinlioglu	carpinlioglu	PROPN
ap-3033	263	11	.	.	PUNCT
ap-3033	264	1	present	present	ADJ
ap-3033	264	2	state	state	NOUN
ap-3033	264	3	of	of	ADP
ap-3033	264	4	art	art	NOUN
ap-3033	264	5	on	on	ADP
ap-3033	264	6	pulsatile	pulsatile	NOUN
ap-3033	264	7	flow	flow	NOUN
ap-3033	264	8	theory	theory	NOUN
ap-3033	264	9	.	.	PUNCT
ap-3033	265	1	part	part	NOUN
ap-3033	265	2	1	1	NUM
ap-3033	265	3	.	.	PUNCT
ap-3033	266	1	laminar	laminar	ADJ
ap-3033	266	2	and	and	CCONJ
ap-3033	266	3	transitional	transitional	ADJ
ap-3033	266	4	flow	flow	NOUN
ap-3033	266	5	regimes	regime	NOUN
ap-3033	266	6	.	.	PUNCT
ap-3033	267	1	jsme	jsme	PROPN
ap-3033	267	2	international	international	PROPN
ap-3033	267	3	journal	journal	PROPN
ap-3033	267	4	series	series	PROPN
ap-3033	267	5	b	b	PROPN
ap-3033	267	6	42(3):384–397	42(3):384–397	PROPN
ap-3033	267	7	,	,	PUNCT
ap-3033	267	8	1999	1999	NUM
ap-3033	267	9	.	.	PUNCT
ap-3033	268	1	doi:10.1299	doi:10.1299	PROPN
ap-3033	268	2	/	/	SYM
ap-3033	268	3	jsmeb.42.384	jsmeb.42.384	PROPN
ap-3033	268	4	.	.	PUNCT
ap-3033	269	1	[	[	X
ap-3033	269	2	6	6	NUM
ap-3033	269	3	]	]	PUNCT
ap-3033	269	4	m.	m.	NOUN
ap-3033	269	5	o.	o.	PROPN
ap-3033	269	6	carpinlioglu	carpinlioglu	PROPN
ap-3033	269	7	,	,	PUNCT
ap-3033	269	8	m.	m.	NOUN
ap-3033	269	9	y.	y.	PROPN
ap-3033	269	10	gundogdu	gundogdu	PROPN
ap-3033	269	11	.	.	PUNCT
ap-3033	270	1	a	a	DET
ap-3033	270	2	critical	critical	ADJ
ap-3033	270	3	review	review	NOUN
ap-3033	270	4	on	on	ADP
ap-3033	270	5	pulsatile	pulsatile	ADJ
ap-3033	270	6	pipe	pipe	NOUN
ap-3033	270	7	flow	flow	NOUN
ap-3033	270	8	studies	study	NOUN
ap-3033	270	9	directing	direct	VERB
ap-3033	270	10	towards	towards	ADP
ap-3033	270	11	future	future	ADJ
ap-3033	270	12	research	research	NOUN
ap-3033	270	13	topics	topic	NOUN
ap-3033	270	14	.	.	PUNCT
ap-3033	271	1	flow	flow	NOUN
ap-3033	271	2	measurement	measurement	NOUN
ap-3033	271	3	and	and	CCONJ
ap-3033	271	4	instrumentation	instrumentation	NOUN
ap-3033	271	5	12(3):163–174	12(3):163–174	PROPN
ap-3033	271	6	,	,	PUNCT
ap-3033	271	7	2001	2001	NUM
ap-3033	271	8	.	.	PUNCT
ap-3033	272	1	doi:10.1016	doi:10.1016	PROPN
ap-3033	272	2	/	/	SYM
ap-3033	272	3	s0955	s0955	NUM
ap-3033	272	4	-	-	PUNCT
ap-3033	272	5	5986(01)00020	5986(01)00020	NUM
ap-3033	272	6	-	-	PUNCT
ap-3033	272	7	6	6	NUM
ap-3033	272	8	.	.	PUNCT
ap-3033	273	1	[	[	X
ap-3033	273	2	7	7	X
ap-3033	273	3	]	]	X
ap-3033	273	4	g.	g.	NOUN
ap-3033	273	5	rudinger	rudinger	NOUN
ap-3033	273	6	.	.	PUNCT
ap-3033	274	1	review	review	NOUN
ap-3033	274	2	of	of	ADP
ap-3033	274	3	current	current	ADJ
ap-3033	274	4	mathematical	mathematical	ADJ
ap-3033	274	5	methods	method	NOUN
ap-3033	274	6	for	for	ADP
ap-3033	274	7	the	the	DET
ap-3033	274	8	analysis	analysis	NOUN
ap-3033	274	9	of	of	ADP
ap-3033	274	10	blood	blood	NOUN
ap-3033	274	11	flow	flow	NOUN
ap-3033	274	12	.	.	PUNCT
ap-3033	275	1	asme	asme	PROPN
ap-3033	275	2	biomedical	biomedical	ADJ
ap-3033	275	3	fluid	fluid	ADJ
ap-3033	275	4	mechanics	mechanic	NOUN
ap-3033	275	5	symposium	symposium	NOUN
ap-3033	275	6	pp	pp	X
ap-3033	275	7	.	.	PUNCT
ap-3033	276	1	1–33	1–33	NOUN
ap-3033	276	2	,	,	PUNCT
ap-3033	276	3	1966	1966	NUM
ap-3033	276	4	.	.	PUNCT
ap-3033	277	1	[	[	X
ap-3033	277	2	8	8	X
ap-3033	277	3	]	]	X
ap-3033	277	4	j.	j.	PROPN
ap-3033	277	5	r.	r.	PROPN
ap-3033	277	6	womersley	womersley	PROPN
ap-3033	277	7	.	.	PUNCT
ap-3033	278	1	oscillatory	oscillatory	ADJ
ap-3033	278	2	flow	flow	NOUN
ap-3033	278	3	in	in	ADP
ap-3033	278	4	arteries	artery	NOUN
ap-3033	278	5	:	:	PUNCT
ap-3033	278	6	the	the	DET
ap-3033	278	7	constrained	constrain	VERB
ap-3033	278	8	elastic	elastic	ADJ
ap-3033	278	9	tube	tube	NOUN
ap-3033	278	10	as	as	ADP
ap-3033	278	11	a	a	DET
ap-3033	278	12	model	model	NOUN
ap-3033	278	13	of	of	ADP
ap-3033	278	14	arterial	arterial	ADJ
ap-3033	278	15	flow	flow	NOUN
ap-3033	278	16	and	and	CCONJ
ap-3033	278	17	pulse	pulse	NOUN
ap-3033	278	18	transmission	transmission	NOUN
ap-3033	278	19	.	.	PUNCT
ap-3033	279	1	physics	physics	NOUN
ap-3033	279	2	in	in	ADP
ap-3033	279	3	medicine	medicine	NOUN
ap-3033	279	4	and	and	CCONJ
ap-3033	279	5	biology	biology	NOUN
ap-3033	279	6	2(2):178–187	2(2):178–187	NUM
ap-3033	279	7	,	,	PUNCT
ap-3033	279	8	1957	1957	NUM
ap-3033	279	9	.	.	PUNCT
ap-3033	280	1	doi:10.1088/0031	doi:10.1088/0031	NOUN
ap-3033	280	2	-	-	PUNCT
ap-3033	280	3	9155/2/2/305	9155/2/2/305	NOUN
ap-3033	280	4	.	.	PUNCT
ap-3033	281	1	[	[	X
ap-3033	281	2	9	9	X
ap-3033	281	3	]	]	PUNCT
ap-3033	281	4	j.	j.	PROPN
ap-3033	281	5	r.	r.	PROPN
ap-3033	281	6	womersley	womersley	PROPN
ap-3033	281	7	.	.	PUNCT
ap-3033	282	1	oscillatory	oscillatory	ADJ
ap-3033	282	2	flow	flow	NOUN
ap-3033	282	3	in	in	ADP
ap-3033	282	4	arteries	artery	NOUN
ap-3033	282	5	.	.	PUNCT
ap-3033	283	1	iii	iii	X
ap-3033	283	2	:	:	PUNCT
ap-3033	283	3	flow	flow	NOUN
ap-3033	283	4	and	and	CCONJ
ap-3033	283	5	pulse	pulse	NOUN
ap-3033	283	6	-	-	PUNCT
ap-3033	283	7	velocity	velocity	NOUN
ap-3033	283	8	formulae	formulae	NOUN
ap-3033	283	9	for	for	ADP
ap-3033	283	10	a	a	DET
ap-3033	283	11	liquid	liquid	NOUN
ap-3033	283	12	whose	whose	DET
ap-3033	283	13	viscosity	viscosity	NOUN
ap-3033	283	14	varies	vary	VERB
ap-3033	283	15	with	with	ADP
ap-3033	283	16	frequency	frequency	NOUN
ap-3033	283	17	.	.	PUNCT
ap-3033	284	1	physics	physics	NOUN
ap-3033	284	2	in	in	ADP
ap-3033	284	3	medicine	medicine	NOUN
ap-3033	284	4	and	and	CCONJ
ap-3033	284	5	biology	biology	NOUN
ap-3033	284	6	2(4):374–382	2(4):374–382	NOUN
ap-3033	284	7	,	,	PUNCT
ap-3033	284	8	1958	1958	NUM
ap-3033	284	9	.	.	PUNCT
ap-3033	285	1	doi:10.1088/0031	doi:10.1088/0031	NOUN
ap-3033	285	2	-	-	PUNCT
ap-3033	285	3	9155/2/4/307	9155/2/4/307	NUM
ap-3033	285	4	.	.	PUNCT
ap-3033	286	1	[	[	X
ap-3033	286	2	10	10	NUM
ap-3033	286	3	]	]	X
ap-3033	286	4	j.	j.	PROPN
ap-3033	286	5	r.	r.	PROPN
ap-3033	286	6	womersley	womersley	PROPN
ap-3033	286	7	.	.	PUNCT
ap-3033	287	1	oscillatory	oscillatory	ADJ
ap-3033	287	2	flow	flow	NOUN
ap-3033	287	3	in	in	ADP
ap-3033	287	4	arteries	artery	NOUN
ap-3033	287	5	.	.	PUNCT
ap-3033	288	1	ii	ii	NOUN
ap-3033	288	2	:	:	PUNCT
ap-3033	288	3	the	the	DET
ap-3033	288	4	reflection	reflection	NOUN
ap-3033	288	5	of	of	ADP
ap-3033	288	6	the	the	DET
ap-3033	288	7	pulse	pulse	NOUN
ap-3033	288	8	wave	wave	NOUN
ap-3033	288	9	at	at	ADP
ap-3033	288	10	junctions	junction	NOUN
ap-3033	288	11	and	and	CCONJ
ap-3033	288	12	rigid	rigid	ADJ
ap-3033	288	13	inserts	insert	NOUN
ap-3033	288	14	in	in	ADP
ap-3033	288	15	the	the	DET
ap-3033	288	16	arterial	arterial	ADJ
ap-3033	288	17	system	system	NOUN
ap-3033	288	18	.	.	PUNCT
ap-3033	289	1	physics	physics	NOUN
ap-3033	289	2	in	in	ADP
ap-3033	289	3	medicine	medicine	NOUN
ap-3033	289	4	and	and	CCONJ
ap-3033	289	5	biology	biology	NOUN
ap-3033	289	6	2(4):313–323	2(4):313–323	NOUN
ap-3033	289	7	,	,	PUNCT
ap-3033	289	8	1958	1958	NUM
ap-3033	289	9	.	.	PUNCT
ap-3033	290	1	doi:10.1088/0031	doi:10.1088/0031	NOUN
ap-3033	290	2	-	-	PUNCT
ap-3033	290	3	9155/2/4/301	9155/2/4/301	NUM
ap-3033	290	4	.	.	PUNCT
ap-3033	291	1	[	[	X
ap-3033	291	2	11	11	NUM
ap-3033	291	3	]	]	PUNCT
ap-3033	291	4	j.	j.	PROPN
ap-3033	291	5	r.	r.	PROPN
ap-3033	291	6	womersley	womersley	PROPN
ap-3033	291	7	.	.	PUNCT
ap-3033	292	1	an	an	DET
ap-3033	292	2	elastic	elastic	ADJ
ap-3033	292	3	tube	tube	NOUN
ap-3033	292	4	theory	theory	NOUN
ap-3033	292	5	of	of	ADP
ap-3033	292	6	pulse	pulse	NOUN
ap-3033	292	7	transmission	transmission	NOUN
ap-3033	292	8	and	and	CCONJ
ap-3033	292	9	oscillatory	oscillatory	ADJ
ap-3033	292	10	flow	flow	NOUN
ap-3033	292	11	in	in	ADP
ap-3033	292	12	mammalian	mammalian	ADJ
ap-3033	292	13	arteries	artery	NOUN
ap-3033	292	14	.	.	PUNCT
ap-3033	293	1	tech	tech	NOUN
ap-3033	293	2	.	.	PUNCT
ap-3033	294	1	rep	rep	PROPN
ap-3033	294	2	.	.	PROPN
ap-3033	294	3	tr56–614	tr56–614	PROPN
ap-3033	294	4	,	,	PUNCT
ap-3033	294	5	wadg	wadg	NOUN
ap-3033	294	6	technical	technical	ADJ
ap-3033	294	7	report	report	PROPN
ap-3033	294	8	,	,	PUNCT
ap-3033	294	9	1957	1957	NUM
ap-3033	294	10	.	.	PUNCT
ap-3033	295	1	[	[	X
ap-3033	295	2	12	12	NUM
ap-3033	295	3	]	]	PUNCT
ap-3033	295	4	l.	l.	PROPN
ap-3033	295	5	e.	e.	PROPN
ap-3033	295	6	hooks	hooks	PROPN
ap-3033	295	7	,	,	PUNCT
ap-3033	295	8	r.	r.	PROPN
ap-3033	295	9	m.	m.	PROPN
ap-3033	295	10	nerem	nerem	PROPN
ap-3033	295	11	,	,	PUNCT
ap-3033	295	12	t.	t.	PROPN
ap-3033	295	13	j.	j.	PROPN
ap-3033	295	14	benson	benson	PROPN
ap-3033	295	15	.	.	PUNCT
ap-3033	296	1	a	a	DET
ap-3033	296	2	momentum	momentum	NOUN
ap-3033	296	3	integral	integral	ADJ
ap-3033	296	4	solution	solution	NOUN
ap-3033	296	5	for	for	ADP
ap-3033	296	6	pulsatile	pulsatile	NOUN
ap-3033	296	7	flow	flow	NOUN
ap-3033	296	8	in	in	ADP
ap-3033	296	9	a	a	DET
ap-3033	296	10	rigid	rigid	ADJ
ap-3033	296	11	tube	tube	NOUN
ap-3033	296	12	with	with	ADP
ap-3033	296	13	and	and	CCONJ
ap-3033	296	14	without	without	ADP
ap-3033	296	15	longitudinal	longitudinal	ADJ
ap-3033	296	16	vibration	vibration	NOUN
ap-3033	296	17	.	.	PUNCT
ap-3033	297	1	international	international	ADJ
ap-3033	297	2	journal	journal	NOUN
ap-3033	297	3	of	of	ADP
ap-3033	297	4	engineering	engineering	NOUN
ap-3033	297	5	science	science	NOUN
ap-3033	297	6	10(12):989	10(12):989	NUM
ap-3033	297	7	–	–	PUNCT
ap-3033	297	8	1007	1007	NUM
ap-3033	297	9	,	,	PUNCT
ap-3033	297	10	1972	1972	NUM
ap-3033	297	11	.	.	PUNCT
ap-3033	298	1	doi:10.1016/0020	doi:10.1016/0020	PROPN
ap-3033	298	2	-	-	PUNCT
ap-3033	298	3	7225(72)90021	7225(72)90021	NUM
ap-3033	298	4	-	-	PUNCT
ap-3033	298	5	3	3	NUM
ap-3033	298	6	.	.	PUNCT
ap-3033	299	1	[	[	X
ap-3033	299	2	13	13	NUM
ap-3033	299	3	]	]	PUNCT
ap-3033	299	4	j.	j.	PROPN
ap-3033	299	5	misra	misra	PROPN
ap-3033	299	6	,	,	PUNCT
ap-3033	299	7	b.	b.	PROPN
ap-3033	299	8	kar	kar	PROPN
ap-3033	299	9	.	.	PUNCT
ap-3033	300	1	unsteady	unsteady	ADJ
ap-3033	300	2	flow	flow	NOUN
ap-3033	300	3	of	of	ADP
ap-3033	300	4	blood	blood	NOUN
ap-3033	300	5	through	through	ADP
ap-3033	300	6	arteries	artery	NOUN
ap-3033	300	7	in	in	ADP
ap-3033	300	8	vibration	vibration	NOUN
ap-3033	300	9	environments	environment	NOUN
ap-3033	300	10	.	.	PUNCT
ap-3033	301	1	mathematical	mathematical	ADJ
ap-3033	301	2	and	and	CCONJ
ap-3033	301	3	computer	computer	NOUN
ap-3033	301	4	modelling	model	VERB
ap-3033	301	5	13(4):7–17	13(4):7–17	NUM
ap-3033	301	6	,	,	PUNCT
ap-3033	301	7	1990	1990	NUM
ap-3033	301	8	.	.	PUNCT
ap-3033	302	1	doi:10.1016/0895	doi:10.1016/0895	NOUN
ap-3033	302	2	-	-	PUNCT
ap-3033	302	3	7177(90)90049	7177(90)90049	PROPN
ap-3033	302	4	-	-	PUNCT
ap-3033	302	5	s.	s.	PROPN
ap-3033	303	1	[	[	X
ap-3033	303	2	14	14	NUM
ap-3033	303	3	]	]	X
ap-3033	303	4	s.	s.	PROPN
ap-3033	303	5	parvathamma	parvathamma	PROPN
ap-3033	303	6	,	,	PUNCT
ap-3033	303	7	r.	r.	PROPN
ap-3033	303	8	devanathan	devanathan	PROPN
ap-3033	303	9	.	.	PUNCT
ap-3033	304	1	microcontinuum	microcontinuum	PROPN
ap-3033	304	2	approach	approach	NOUN
ap-3033	304	3	to	to	ADP
ap-3033	304	4	the	the	DET
ap-3033	304	5	pulsatile	pulsatile	NOUN
ap-3033	304	6	flow	flow	NOUN
ap-3033	304	7	in	in	ADP
ap-3033	304	8	tubes	tube	NOUN
ap-3033	304	9	with	with	ADP
ap-3033	304	10	and	and	CCONJ
ap-3033	304	11	without	without	ADP
ap-3033	304	12	longitudinal	longitudinal	ADJ
ap-3033	304	13	vibration	vibration	NOUN
ap-3033	304	14	.	.	PUNCT
ap-3033	305	1	bulletin	bulletin	NOUN
ap-3033	305	2	of	of	ADP
ap-3033	305	3	mathematical	mathematical	ADJ
ap-3033	305	4	biology	biology	NOUN
ap-3033	305	5	45(5):721–737	45(5):721–737	PROPN
ap-3033	305	6	,	,	PUNCT
ap-3033	305	7	1983	1983	NUM
ap-3033	305	8	.	.	PUNCT
ap-3033	306	1	doi:10.1007	doi:10.1007	VERB
ap-3033	306	2	/	/	SYM
ap-3033	306	3	bf02460045	bf02460045	NOUN
ap-3033	306	4	.	.	PUNCT
ap-3033	307	1	[	[	X
ap-3033	307	2	15	15	NUM
ap-3033	307	3	]	]	X
ap-3033	307	4	b.	b.	PROPN
ap-3033	307	5	e.	e.	PROPN
ap-3033	307	6	morgan	morgan	PROPN
ap-3033	307	7	,	,	PUNCT
ap-3033	307	8	d.	d.	PROPN
ap-3033	307	9	f.	f.	PROPN
ap-3033	307	10	young	young	PROPN
ap-3033	307	11	.	.	PUNCT
ap-3033	308	1	an	an	DET
ap-3033	308	2	intergral	intergral	ADJ
ap-3033	308	3	method	method	NOUN
ap-3033	308	4	for	for	ADP
ap-3033	308	5	the	the	DET
ap-3033	308	6	analysis	analysis	NOUN
ap-3033	308	7	of	of	ADP
ap-3033	308	8	flow	flow	NOUN
ap-3033	308	9	in	in	ADP
ap-3033	308	10	arterial	arterial	ADJ
ap-3033	308	11	stenoses	stenosis	NOUN
ap-3033	308	12	.	.	PUNCT
ap-3033	309	1	bulletin	bulletin	NOUN
ap-3033	309	2	of	of	ADP
ap-3033	309	3	mathematical	mathematical	ADJ
ap-3033	309	4	biology	biology	NOUN
ap-3033	309	5	36(1):39–53	36(1):39–53	NUM
ap-3033	309	6	,	,	PUNCT
ap-3033	309	7	1974	1974	NUM
ap-3033	309	8	.	.	PUNCT
ap-3033	310	1	doi:10.1007	doi:10.1007	VERB
ap-3033	310	2	/	/	SYM
ap-3033	310	3	bf02461189	bf02461189	NOUN
ap-3033	310	4	.	.	PUNCT
ap-3033	311	1	[	[	X
ap-3033	311	2	16	16	NUM
ap-3033	311	3	]	]	PUNCT
ap-3033	311	4	j.	j.	PROPN
ap-3033	311	5	h.	h.	PROPN
ap-3033	311	6	forrester	forrester	PROPN
ap-3033	311	7	,	,	PUNCT
ap-3033	311	8	d.	d.	PROPN
ap-3033	311	9	f.	f.	PROPN
ap-3033	311	10	young	young	PROPN
ap-3033	311	11	.	.	PUNCT
ap-3033	312	1	flow	flow	VERB
ap-3033	312	2	through	through	ADP
ap-3033	312	3	a	a	DET
ap-3033	312	4	converging	converge	VERB
ap-3033	312	5	-	-	PUNCT
ap-3033	312	6	diverging	diverge	VERB
ap-3033	312	7	tube	tube	NOUN
ap-3033	312	8	and	and	CCONJ
ap-3033	312	9	its	its	PRON
ap-3033	312	10	implications	implication	NOUN
ap-3033	312	11	in	in	ADP
ap-3033	312	12	occlusive	occlusive	ADJ
ap-3033	312	13	vascular	vascular	ADJ
ap-3033	312	14	disease	disease	NOUN
ap-3033	312	15	—	—	PUNCT
ap-3033	312	16	i.	i.	PROPN
ap-3033	312	17	journal	journal	PROPN
ap-3033	312	18	of	of	ADP
ap-3033	312	19	biomechanics	biomechanic	NOUN
ap-3033	312	20	3(3):297–305	3(3):297–305	NUM
ap-3033	312	21	,	,	PUNCT
ap-3033	312	22	1970	1970	NUM
ap-3033	312	23	.	.	PUNCT
ap-3033	313	1	doi:10.1016/0021	doi:10.1016/0021	VERB
ap-3033	313	2	-	-	PUNCT
ap-3033	313	3	9290(70)90031	9290(70)90031	NOUN
ap-3033	313	4	-	-	PUNCT
ap-3033	313	5	x.	x.	NOUN
ap-3033	314	1	[	[	X
ap-3033	314	2	17	17	NUM
ap-3033	314	3	]	]	PUNCT
ap-3033	314	4	j.	j.	PROPN
ap-3033	314	5	h.	h.	PROPN
ap-3033	314	6	forrester	forrester	PROPN
ap-3033	314	7	,	,	PUNCT
ap-3033	314	8	d.	d.	PROPN
ap-3033	314	9	f.	f.	PROPN
ap-3033	314	10	young	young	PROPN
ap-3033	314	11	.	.	PUNCT
ap-3033	315	1	flow	flow	VERB
ap-3033	315	2	through	through	ADP
ap-3033	315	3	a	a	DET
ap-3033	315	4	converging	converge	VERB
ap-3033	315	5	-	-	PUNCT
ap-3033	315	6	diverging	diverge	VERB
ap-3033	315	7	tube	tube	NOUN
ap-3033	315	8	and	and	CCONJ
ap-3033	315	9	its	its	PRON
ap-3033	315	10	implications	implication	NOUN
ap-3033	315	11	in	in	ADP
ap-3033	315	12	occlusive	occlusive	ADJ
ap-3033	315	13	vascular	vascular	ADJ
ap-3033	315	14	disease	disease	NOUN
ap-3033	315	15	—	—	PUNCT
ap-3033	315	16	ii	ii	PROPN
ap-3033	315	17	.	.	PROPN
ap-3033	315	18	journal	journal	PROPN
ap-3033	315	19	of	of	ADP
ap-3033	315	20	biomechanics	biomechanic	NOUN
ap-3033	315	21	3(3):307–316	3(3):307–316	NUM
ap-3033	315	22	,	,	PUNCT
ap-3033	315	23	1970	1970	NUM
ap-3033	315	24	.	.	PUNCT
ap-3033	316	1	doi:10.1016/0021	doi:10.1016/0021	VERB
ap-3033	316	2	-	-	PUNCT
ap-3033	316	3	9290(70)90032	9290(70)90032	NUM
ap-3033	316	4	-	-	PUNCT
ap-3033	316	5	1	1	NUM
ap-3033	316	6	.	.	PUNCT
ap-3033	317	1	[	[	X
ap-3033	317	2	18	18	NUM
ap-3033	317	3	]	]	X
ap-3033	317	4	f.	f.	PROPN
ap-3033	317	5	k.	k.	PROPN
ap-3033	317	6	tsou	tsou	PROPN
ap-3033	317	7	,	,	PUNCT
ap-3033	317	8	p.	p.	PROPN
ap-3033	317	9	c.	c.	PROPN
ap-3033	317	10	chou	chou	PROPN
ap-3033	317	11	,	,	PUNCT
ap-3033	317	12	s.	s.	PROPN
ap-3033	317	13	n.	n.	PROPN
ap-3033	317	14	frankel	frankel	PROPN
ap-3033	317	15	,	,	PUNCT
ap-3033	317	16	a.	a.	PROPN
ap-3033	317	17	w.	w.	PROPN
ap-3033	317	18	hahn	hahn	PROPN
ap-3033	317	19	.	.	PUNCT
ap-3033	318	1	an	an	DET
ap-3033	318	2	integral	integral	ADJ
ap-3033	318	3	method	method	NOUN
ap-3033	318	4	for	for	ADP
ap-3033	318	5	the	the	DET
ap-3033	318	6	analysis	analysis	NOUN
ap-3033	318	7	of	of	ADP
ap-3033	318	8	blood	blood	NOUN
ap-3033	318	9	flow	flow	NOUN
ap-3033	318	10	.	.	PUNCT
ap-3033	319	1	the	the	DET
ap-3033	319	2	bulletin	bulletin	NOUN
ap-3033	319	3	of	of	ADP
ap-3033	319	4	mathematical	mathematical	ADJ
ap-3033	319	5	biophysics	biophysic	NOUN
ap-3033	319	6	33(1):117–128	33(1):117–128	NUM
ap-3033	319	7	,	,	PUNCT
ap-3033	319	8	1971	1971	NUM
ap-3033	319	9	.	.	PUNCT
ap-3033	320	1	doi:10.1007	doi:10.1007	PROPN
ap-3033	320	2	/	/	SYM
ap-3033	320	3	bf02476669	bf02476669	PROPN
ap-3033	320	4	.	.	PUNCT
ap-3033	321	1	[	[	X
ap-3033	321	2	19	19	NUM
ap-3033	321	3	]	]	X
ap-3033	321	4	e.	e.	PROPN
ap-3033	321	5	f.	f.	PROPN
ap-3033	321	6	blick	blick	PROPN
ap-3033	321	7	,	,	PUNCT
ap-3033	321	8	p.	p.	PROPN
ap-3033	321	9	d.	d.	PROPN
ap-3033	321	10	stein	stein	PROPN
ap-3033	321	11	.	.	PUNCT
ap-3033	322	1	variational	variational	ADJ
ap-3033	322	2	solution	solution	NOUN
ap-3033	322	3	for	for	ADP
ap-3033	322	4	pulsatile	pulsatile	NOUN
ap-3033	322	5	flow	flow	NOUN
ap-3033	322	6	in	in	ADP
ap-3033	322	7	rigid	rigid	ADJ
ap-3033	322	8	tubes	tube	NOUN
ap-3033	322	9	.	.	PUNCT
ap-3033	323	1	journal	journal	PROPN
ap-3033	323	2	of	of	ADP
ap-3033	323	3	biomechanical	biomechanical	ADJ
ap-3033	323	4	engineering	engineering	NOUN
ap-3033	323	5	106(1):89	106(1):89	NUM
ap-3033	323	6	,	,	PUNCT
ap-3033	323	7	1984	1984	NUM
ap-3033	323	8	.	.	PUNCT
ap-3033	324	1	doi:10.1115/1.3138464	doi:10.1115/1.3138464	PROPN
ap-3033	324	2	.	.	PUNCT
ap-3033	325	1	[	[	X
ap-3033	325	2	20	20	NUM
ap-3033	325	3	]	]	PUNCT
ap-3033	325	4	p.	p.	NOUN
ap-3033	325	5	lambossy	lambossy	PROPN
ap-3033	325	6	.	.	PUNCT
ap-3033	326	1	oscillations	oscillation	NOUN
ap-3033	326	2	forcées	forcées	VERB
ap-3033	326	3	d’un	d’un	PROPN
ap-3033	326	4	liquide	liquide	PROPN
ap-3033	326	5	imcompressible	imcompressible	ADJ
ap-3033	326	6	et	et	PROPN
ap-3033	326	7	visqueux	visqueux	PROPN
ap-3033	326	8	dans	dans	PROPN
ap-3033	326	9	un	un	PROPN
ap-3033	326	10	tube	tube	PROPN
ap-3033	326	11	rigide	rigide	PROPN
ap-3033	326	12	et	et	PROPN
ap-3033	326	13	horizontal	horizontal	PROPN
ap-3033	326	14	.	.	PUNCT
ap-3033	327	1	calcul	calcul	PROPN
ap-3033	327	2	de	de	PROPN
ap-3033	327	3	la	la	PROPN
ap-3033	327	4	force	force	PROPN
ap-3033	327	5	de	de	X
ap-3033	327	6	trottement	trottement	NOUN
ap-3033	327	7	.	.	PUNCT
ap-3033	328	1	helv	helv	PROPN
ap-3033	328	2	physica	physica	PROPN
ap-3033	328	3	acta	acta	PROPN
ap-3033	328	4	25	25	NUM
ap-3033	328	5	,	,	PUNCT
ap-3033	328	6	1957	1957	NUM
ap-3033	328	7	.	.	PUNCT
ap-3033	329	1	[	[	X
ap-3033	329	2	21	21	NUM
ap-3033	329	3	]	]	PUNCT
ap-3033	329	4	a.	a.	PROPN
ap-3033	329	5	f.	f.	PROPN
ap-3033	329	6	elkouh	elkouh	PROPN
ap-3033	329	7	.	.	PUNCT
ap-3033	330	1	approximate	approximate	ADJ
ap-3033	330	2	solution	solution	NOUN
ap-3033	330	3	for	for	ADP
ap-3033	330	4	pulsatile	pulsatile	ADJ
ap-3033	330	5	laminar	laminar	ADJ
ap-3033	330	6	flow	flow	NOUN
ap-3033	330	7	in	in	ADP
ap-3033	330	8	a	a	DET
ap-3033	330	9	circular	circular	ADJ
ap-3033	330	10	rigid	rigid	ADJ
ap-3033	330	11	tube	tube	NOUN
ap-3033	330	12	.	.	PUNCT
ap-3033	331	1	journal	journal	NOUN
ap-3033	331	2	of	of	ADP
ap-3033	331	3	fluids	fluid	NOUN
ap-3033	331	4	engineering	engineering	NOUN
ap-3033	331	5	100(1):131	100(1):131	NUM
ap-3033	331	6	,	,	PUNCT
ap-3033	331	7	1978	1978	NUM
ap-3033	331	8	.	.	PUNCT
ap-3033	332	1	doi:10.1115/1.3448588	doi:10.1115/1.3448588	NOUN
ap-3033	332	2	.	.	PUNCT
ap-3033	333	1	[	[	X
ap-3033	333	2	22	22	NUM
ap-3033	333	3	]	]	PUNCT
ap-3033	333	4	s.	s.	PROPN
ap-3033	333	5	uchida	uchida	PROPN
ap-3033	333	6	.	.	PUNCT
ap-3033	334	1	the	the	DET
ap-3033	334	2	pulsating	pulsate	VERB
ap-3033	334	3	viscous	viscous	ADJ
ap-3033	334	4	flow	flow	NOUN
ap-3033	334	5	superposed	superpose	VERB
ap-3033	334	6	on	on	ADP
ap-3033	334	7	the	the	DET
ap-3033	334	8	steady	steady	ADJ
ap-3033	334	9	laminar	laminar	ADJ
ap-3033	334	10	motion	motion	NOUN
ap-3033	334	11	of	of	ADP
ap-3033	334	12	incompressible	incompressible	ADJ
ap-3033	334	13	fluid	fluid	NOUN
ap-3033	334	14	in	in	ADP
ap-3033	334	15	a	a	DET
ap-3033	334	16	circular	circular	ADJ
ap-3033	334	17	pipe	pipe	NOUN
ap-3033	334	18	.	.	PUNCT
ap-3033	335	1	journal	journal	NOUN
ap-3033	335	2	of	of	ADP
ap-3033	335	3	applied	apply	VERB
ap-3033	335	4	mathematics	mathematic	NOUN
ap-3033	335	5	and	and	CCONJ
ap-3033	335	6	physics	physics	PROPN
ap-3033	335	7	(	(	PUNCT
ap-3033	335	8	zamp	zamp	NOUN
ap-3033	335	9	)	)	PUNCT
ap-3033	335	10	7(5):403–422	7(5):403–422	NUM
ap-3033	335	11	,	,	PUNCT
ap-3033	335	12	1956	1956	NUM
ap-3033	335	13	.	.	PUNCT
ap-3033	336	1	doi:10.1007	doi:10.1007	PROPN
ap-3033	336	2	/	/	SYM
ap-3033	336	3	bf01606327	bf01606327	NOUN
ap-3033	336	4	.	.	PUNCT
ap-3033	337	1	[	[	X
ap-3033	337	2	23	23	NUM
ap-3033	337	3	]	]	PUNCT
ap-3033	337	4	j.	j.	PROPN
ap-3033	337	5	mcfeeley	mcfeeley	PROPN
ap-3033	337	6	,	,	PUNCT
ap-3033	337	7	r.	r.	PROPN
ap-3033	337	8	patel	patel	PROPN
ap-3033	337	9	,	,	PUNCT
ap-3033	337	10	k.	k.	PROPN
ap-3033	337	11	jolls	jolls	PROPN
ap-3033	337	12	.	.	PUNCT
ap-3033	337	13	approximate	approximate	ADJ
ap-3033	337	14	low	low	ADJ
ap-3033	337	15	-	-	PUNCT
ap-3033	337	16	frequency	frequency	NOUN
ap-3033	337	17	solution	solution	NOUN
ap-3033	337	18	for	for	ADP
ap-3033	337	19	pulsatile	pulsatile	ADJ
ap-3033	337	20	laminar	laminar	ADJ
ap-3033	337	21	flow	flow	NOUN
ap-3033	337	22	in	in	ADP
ap-3033	337	23	a	a	DET
ap-3033	337	24	tube	tube	NOUN
ap-3033	337	25	.	.	PUNCT
ap-3033	338	1	chemical	chemical	NOUN
ap-3033	338	2	engineering	engineering	PROPN
ap-3033	338	3	science	science	PROPN
ap-3033	338	4	28(11):2105–2107	28(11):2105–2107	PROPN
ap-3033	338	5	,	,	PUNCT
ap-3033	338	6	1973	1973	NUM
ap-3033	338	7	.	.	PUNCT
ap-3033	339	1	doi:10.1016/0009	doi:10.1016/0009	NOUN
ap-3033	339	2	-	-	PUNCT
ap-3033	339	3	2509(73)85058	2509(73)85058	NUM
ap-3033	339	4	-	-	SYM
ap-3033	339	5	4	4	NUM
ap-3033	339	6	.	.	PUNCT
ap-3033	340	1	[	[	X
ap-3033	340	2	24	24	NUM
ap-3033	340	3	]	]	PUNCT
ap-3033	340	4	d.	d.	PROPN
ap-3033	340	5	hromádka	hromádka	PROPN
ap-3033	340	6	,	,	PUNCT
ap-3033	340	7	h.	h.	PROPN
ap-3033	340	8	chlup	chlup	PROPN
ap-3033	340	9	,	,	PUNCT
ap-3033	340	10	r.	r.	PROPN
ap-3033	340	11	žitný	žitný	PROPN
ap-3033	340	12	.	.	PUNCT
ap-3033	341	1	identification	identification	NOUN
ap-3033	341	2	of	of	ADP
ap-3033	341	3	relaxation	relaxation	NOUN
ap-3033	341	4	parameter	parameter	NOUN
ap-3033	341	5	of	of	ADP
ap-3033	341	6	a	a	DET
ap-3033	341	7	physical	physical	ADJ
ap-3033	341	8	model	model	NOUN
ap-3033	341	9	of	of	ADP
ap-3033	341	10	vein	vein	NOUN
ap-3033	341	11	from	from	ADP
ap-3033	341	12	fluid	fluid	ADJ
ap-3033	341	13	transient	transient	ADJ
ap-3033	341	14	experiment	experiment	NOUN
ap-3033	341	15	.	.	PUNCT
ap-3033	342	1	epj	epj	NOUN
ap-3033	342	2	web	web	NOUN
ap-3033	342	3	of	of	ADP
ap-3033	342	4	conferences	conference	NOUN
ap-3033	342	5	67:02039	67:02039	NUM
ap-3033	342	6	,	,	PUNCT
ap-3033	342	7	2014	2014	NUM
ap-3033	342	8	.	.	PUNCT
ap-3033	343	1	doi:10.1051	doi:10.1051	NOUN
ap-3033	343	2	/	/	SYM
ap-3033	343	3	epjconf/20146702039	epjconf/20146702039	NOUN
ap-3033	343	4	.	.	PUNCT
ap-3033	344	1	[	[	X
ap-3033	344	2	25	25	NUM
ap-3033	344	3	]	]	X
ap-3033	344	4	r.	r.	PROPN
ap-3033	344	5	bird	bird	PROPN
ap-3033	344	6	,	,	PUNCT
ap-3033	344	7	w.	w.	PROPN
ap-3033	344	8	stewart	stewart	PROPN
ap-3033	344	9	,	,	PUNCT
ap-3033	344	10	e.	e.	PROPN
ap-3033	344	11	lightfoot	lightfoot	PROPN
ap-3033	344	12	.	.	PUNCT
ap-3033	345	1	transport	transport	NOUN
ap-3033	345	2	phenomena	phenomena	PROPN
ap-3033	345	3	.	.	PUNCT
ap-3033	346	1	wiley	wiley	PROPN
ap-3033	346	2	international	international	PROPN
ap-3033	346	3	edition	edition	PROPN
ap-3033	346	4	.	.	PUNCT
ap-3033	347	1	wiley	wiley	PROPN
ap-3033	347	2	,	,	PUNCT
ap-3033	347	3	2007	2007	NUM
ap-3033	347	4	.	.	PUNCT
ap-3033	348	1	[	[	X
ap-3033	348	2	26	26	NUM
ap-3033	348	3	]	]	X
ap-3033	348	4	i.	i.	NOUN
ap-3033	348	5	idelchik	idelchik	PROPN
ap-3033	348	6	.	.	PUNCT
ap-3033	349	1	handbook	handbook	NOUN
ap-3033	349	2	of	of	ADP
ap-3033	349	3	hydraulic	hydraulic	ADJ
ap-3033	349	4	resistance	resistance	NOUN
ap-3033	349	5	.	.	PUNCT
ap-3033	350	1	jaico	jaico	PROPN
ap-3033	350	2	publishing	publishing	PROPN
ap-3033	350	3	house	house	PROPN
ap-3033	350	4	,	,	PUNCT
ap-3033	350	5	2005	2005	NUM
ap-3033	350	6	.	.	PUNCT
ap-3033	351	1	105	105	NUM
ap-3033	351	2	http://dx.doi.org/10.1007/978-1-4612-1282-9	http://dx.doi.org/10.1007/978-1-4612-1282-9	NOUN
ap-3033	351	3	http://dx.doi.org/10.1007/bf01340631	http://dx.doi.org/10.1007/bf01340631	NOUN
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ap-3033	351	7	http://dx.doi.org/10.1088/0031-9155/2/2/305	http://dx.doi.org/10.1088/0031-9155/2/2/305	PROPN
ap-3033	351	8	http://dx.doi.org/10.1088/0031-9155/2/4/307	http://dx.doi.org/10.1088/0031-9155/2/4/307	PROPN
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ap-3033	351	13	http://dx.doi.org/10.1007/bf02461189	http://dx.doi.org/10.1007/bf02461189	PROPN
ap-3033	351	14	http://dx.doi.org/10.1016/0021-9290(70)90031-x	http://dx.doi.org/10.1016/0021-9290(70)90031-x	PROPN
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ap-3033	351	16	http://dx.doi.org/10.1007/bf02476669	http://dx.doi.org/10.1007/bf02476669	NOUN
ap-3033	351	17	http://dx.doi.org/10.1115/1.3138464	http://dx.doi.org/10.1115/1.3138464	PROPN
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ap-3033	351	19	http://dx.doi.org/10.1007/bf01606327	http://dx.doi.org/10.1007/bf01606327	NOUN
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ap-3033	351	27	1	1	NUM
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ap-3033	351	29	2	2	NUM
ap-3033	351	30	methods	method	NOUN
ap-3033	351	31	2.1	2.1	NUM
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ap-3033	351	40	2.3	2.3	NUM
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ap-3033	351	50	4	4	NUM
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ap-3033	351	52	5	5	NUM
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ap-3033	351	54	list	list	NOUN
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ap-3033	351	56	symbols	symbol	NOUN
ap-3033	351	57	acknowledgements	acknowledgement	NOUN
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