id	sid	tid	token	lemma	pos
ap-2813	1	1	acta	acta	PROPN
ap-2813	1	2	polytechnica	polytechnica	PROPN
ap-2813	1	3	doi:10.14311	doi:10.14311	PROPN
ap-2813	1	4	/	/	SYM
ap-2813	1	5	ap.2015.55.0352	ap.2015.55.0352	PROPN
ap-2813	1	6	acta	acta	PROPN
ap-2813	1	7	polytechnica	polytechnica	PROPN
ap-2813	1	8	55(5):352–358	55(5):352–358	PROPN
ap-2813	1	9	,	,	PUNCT
ap-2813	1	10	2015	2015	NUM
ap-2813	1	11	©	©	PROPN
ap-2813	1	12	czech	czech	PROPN
ap-2813	1	13	technical	technical	PROPN
ap-2813	1	14	university	university	PROPN
ap-2813	1	15	in	in	ADP
ap-2813	1	16	prague	prague	PROPN
ap-2813	1	17	,	,	PUNCT
ap-2813	1	18	2015	2015	NUM
ap-2813	1	19	available	available	ADJ
ap-2813	1	20	online	online	ADV
ap-2813	1	21	at	at	ADP
ap-2813	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2813	1	23	unsteady	unsteady	ADJ
ap-2813	1	24	flow	flow	NOUN
ap-2813	1	25	of	of	ADP
ap-2813	1	26	thixotropic	thixotropic	NOUN
ap-2813	1	27	collagen	collagen	NOUN
ap-2813	1	28	substance	substance	NOUN
ap-2813	1	29	in	in	ADP
ap-2813	1	30	pipes	pipe	NOUN
ap-2813	1	31	rudolf	rudolf	NOUN
ap-2813	1	32	zitnya	zitnya	NOUN
ap-2813	1	33	,	,	PUNCT
ap-2813	1	34	ales	ales	PROPN
ap-2813	1	35	landfeldb	landfeldb	PROPN
ap-2813	1	36	,	,	PUNCT
ap-2813	1	37	jan	jan	PROPN
ap-2813	1	38	skocilasa	skocilasa	PROPN
ap-2813	1	39	,	,	PUNCT
ap-2813	1	40	jaromir	jaromir	PROPN
ap-2813	1	41	stancla,∗	stancla,∗	NOUN
ap-2813	1	42	,	,	PUNCT
ap-2813	1	43	vlastimil	vlastimil	ADJ
ap-2813	1	44	fleglc	fleglc	NOUN
ap-2813	1	45	,	,	PUNCT
ap-2813	1	46	milan	milan	PROPN
ap-2813	1	47	houskab	houskab	PROPN
ap-2813	1	48	a	a	DET
ap-2813	1	49	czech	czech	PROPN
ap-2813	1	50	technical	technical	PROPN
ap-2813	1	51	university	university	PROPN
ap-2813	1	52	in	in	ADP
ap-2813	1	53	prague	prague	PROPN
ap-2813	1	54	,	,	PUNCT
ap-2813	1	55	faculty	faculty	NOUN
ap-2813	1	56	of	of	ADP
ap-2813	1	57	mechanical	mechanical	ADJ
ap-2813	1	58	engineering	engineering	NOUN
ap-2813	1	59	,	,	PUNCT
ap-2813	1	60	department	department	NOUN
ap-2813	1	61	of	of	ADP
ap-2813	1	62	process	process	NOUN
ap-2813	1	63	engineering	engineering	NOUN
ap-2813	1	64	,	,	PUNCT
ap-2813	1	65	technicka	technicka	NOUN
ap-2813	1	66	4	4	NUM
ap-2813	1	67	,	,	PUNCT
ap-2813	1	68	prague	prague	NOUN
ap-2813	1	69	,	,	PUNCT
ap-2813	1	70	czech	czech	PROPN
ap-2813	1	71	republic	republic	PROPN
ap-2813	1	72	b	b	PROPN
ap-2813	1	73	food	food	PROPN
ap-2813	1	74	research	research	PROPN
ap-2813	1	75	institute	institute	PROPN
ap-2813	1	76	in	in	ADP
ap-2813	1	77	prague	prague	PROPN
ap-2813	1	78	,	,	PUNCT
ap-2813	1	79	radiova	radiova	VERB
ap-2813	1	80	7	7	NUM
ap-2813	1	81	,	,	PUNCT
ap-2813	1	82	prague	prague	NOUN
ap-2813	1	83	,	,	PUNCT
ap-2813	1	84	czech	czech	PROPN
ap-2813	1	85	republic	republic	NOUN
ap-2813	1	86	c	c	PROPN
ap-2813	1	87	devro	devro	PROPN
ap-2813	1	88	ltd	ltd	PROPN
ap-2813	1	89	.	.	PROPN
ap-2813	1	90	,	,	PUNCT
ap-2813	1	91	vichovska	vichovska	PROPN
ap-2813	1	92	830	830	NUM
ap-2813	1	93	,	,	PUNCT
ap-2813	1	94	jilemnice	jilemnice	NOUN
ap-2813	1	95	,	,	PUNCT
ap-2813	1	96	czech	czech	PROPN
ap-2813	1	97	republic	republic	NOUN
ap-2813	1	98	∗	∗	NOUN
ap-2813	1	99	corresponding	correspond	VERB
ap-2813	1	100	author	author	NOUN
ap-2813	1	101	:	:	PUNCT
ap-2813	1	102	jaromir.stancl@fs.cvut.cz	jaromir.stancl@fs.cvut.cz	VERB
ap-2813	1	103	abstract	abstract	ADJ
ap-2813	1	104	.	.	PUNCT
ap-2813	2	1	unsteady	unsteady	ADJ
ap-2813	2	2	flow	flow	NOUN
ap-2813	2	3	of	of	ADP
ap-2813	2	4	thixotropic	thixotropic	NOUN
ap-2813	2	5	liquid	liquid	NOUN
ap-2813	2	6	in	in	ADP
ap-2813	2	7	pipes	pipe	NOUN
ap-2813	2	8	is	be	AUX
ap-2813	2	9	solved	solve	VERB
ap-2813	2	10	by	by	ADP
ap-2813	2	11	1d	1d	NUM
ap-2813	2	12	and	and	CCONJ
ap-2813	2	13	2d	2d	NUM
ap-2813	2	14	numerical	numerical	ADJ
ap-2813	2	15	methods	method	NOUN
ap-2813	2	16	using	use	VERB
ap-2813	2	17	the	the	DET
ap-2813	2	18	same	same	ADJ
ap-2813	2	19	constitutive	constitutive	ADJ
ap-2813	2	20	equation	equation	NOUN
ap-2813	2	21	—	—	PUNCT
ap-2813	2	22	the	the	DET
ap-2813	2	23	only	only	ADJ
ap-2813	2	24	difference	difference	NOUN
ap-2813	2	25	is	be	AUX
ap-2813	2	26	in	in	ADP
ap-2813	2	27	the	the	DET
ap-2813	2	28	radial	radial	ADJ
ap-2813	2	29	diffusion	diffusion	NOUN
ap-2813	2	30	of	of	ADP
ap-2813	2	31	the	the	DET
ap-2813	2	32	structural	structural	ADJ
ap-2813	2	33	parameter	parameter	NOUN
ap-2813	2	34	.	.	PUNCT
ap-2813	3	1	comparison	comparison	NOUN
ap-2813	3	2	shows	show	VERB
ap-2813	3	3	that	that	SCONJ
ap-2813	3	4	the	the	DET
ap-2813	3	5	neglected	neglect	VERB
ap-2813	3	6	diffusion	diffusion	NOUN
ap-2813	3	7	of	of	ADP
ap-2813	3	8	structural	structural	ADJ
ap-2813	3	9	parameter	parameter	NOUN
ap-2813	3	10	implicates	implicate	VERB
ap-2813	3	11	a	a	DET
ap-2813	3	12	much	much	ADV
ap-2813	3	13	stronger	strong	ADJ
ap-2813	3	14	effect	effect	NOUN
ap-2813	3	15	of	of	ADP
ap-2813	3	16	thixotropy	thixotropy	NOUN
ap-2813	3	17	.	.	PUNCT
ap-2813	4	1	the	the	DET
ap-2813	4	2	models	model	NOUN
ap-2813	4	3	are	be	AUX
ap-2813	4	4	applied	apply	VERB
ap-2813	4	5	for	for	ADP
ap-2813	4	6	analysis	analysis	NOUN
ap-2813	4	7	of	of	ADP
ap-2813	4	8	the	the	DET
ap-2813	4	9	observed	observe	VERB
ap-2813	4	10	hysteresis	hysteresis	NOUN
ap-2813	4	11	of	of	ADP
ap-2813	4	12	hydraulic	hydraulic	ADJ
ap-2813	4	13	characteristic	characteristic	NOUN
ap-2813	4	14	of	of	ADP
ap-2813	4	15	collagen	collagen	NOUN
ap-2813	4	16	.	.	PUNCT
ap-2813	5	1	keywords	keyword	NOUN
ap-2813	5	2	:	:	PUNCT
ap-2813	5	3	thixotropy	thixotropy	NOUN
ap-2813	5	4	,	,	PUNCT
ap-2813	5	5	collagen	collagen	NOUN
ap-2813	5	6	,	,	PUNCT
ap-2813	5	7	unsteady	unsteady	ADJ
ap-2813	5	8	flow	flow	NOUN
ap-2813	5	9	in	in	ADP
ap-2813	5	10	pipe	pipe	NOUN
ap-2813	5	11	,	,	PUNCT
ap-2813	5	12	hydraulic	hydraulic	ADJ
ap-2813	5	13	characteristics	characteristic	NOUN
ap-2813	5	14	.	.	PUNCT
ap-2813	6	1	1	1	X
ap-2813	6	2	.	.	X
ap-2813	6	3	introduction	introduction	NOUN
ap-2813	6	4	thixotropy	thixotropy	NOUN
ap-2813	6	5	is	be	AUX
ap-2813	6	6	a	a	DET
ap-2813	6	7	property	property	NOUN
ap-2813	6	8	of	of	ADP
ap-2813	6	9	fluids	fluid	NOUN
ap-2813	6	10	having	have	VERB
ap-2813	6	11	viscous	viscous	ADJ
ap-2813	6	12	characteristics	characteristic	NOUN
ap-2813	6	13	that	that	PRON
ap-2813	6	14	depend	depend	VERB
ap-2813	6	15	on	on	ADP
ap-2813	6	16	their	their	PRON
ap-2813	6	17	deformation	deformation	NOUN
ap-2813	6	18	history	history	NOUN
ap-2813	6	19	,	,	PUNCT
ap-2813	6	20	see	see	VERB
ap-2813	6	21	review	review	NOUN
ap-2813	6	22	articles	article	NOUN
ap-2813	6	23	by	by	ADP
ap-2813	6	24	mewis	mewis	NOUN
ap-2813	6	25	[	[	X
ap-2813	6	26	1	1	NUM
ap-2813	6	27	]	]	PUNCT
ap-2813	6	28	and	and	CCONJ
ap-2813	6	29	barnes	barne	VERB
ap-2813	6	30	[	[	X
ap-2813	6	31	2	2	NUM
ap-2813	6	32	]	]	PUNCT
ap-2813	6	33	.	.	PUNCT
ap-2813	7	1	approximate	approximate	ADJ
ap-2813	7	2	solutions	solution	NOUN
ap-2813	7	3	of	of	ADP
ap-2813	7	4	steady	steady	ADJ
ap-2813	7	5	flow	flow	NOUN
ap-2813	7	6	of	of	ADP
ap-2813	7	7	thixotropic	thixotropic	ADJ
ap-2813	7	8	liquids	liquid	NOUN
ap-2813	7	9	in	in	ADP
ap-2813	7	10	a	a	DET
ap-2813	7	11	pipe	pipe	NOUN
ap-2813	7	12	based	base	VERB
ap-2813	7	13	upon	upon	SCONJ
ap-2813	7	14	a	a	DET
ap-2813	7	15	constant	constant	ADJ
ap-2813	7	16	power	power	NOUN
ap-2813	7	17	-	-	PUNCT
ap-2813	7	18	law	law	NOUN
ap-2813	7	19	radial	radial	ADJ
ap-2813	7	20	velocity	velocity	NOUN
ap-2813	7	21	profiles	profile	NOUN
ap-2813	7	22	were	be	AUX
ap-2813	7	23	presented	present	VERB
ap-2813	7	24	by	by	ADP
ap-2813	7	25	sestak	sestak	PROPN
ap-2813	7	26	and	and	CCONJ
ap-2813	7	27	zitny	zitny	NOUN
ap-2813	8	1	[	[	X
ap-2813	8	2	3	3	NUM
ap-2813	8	3	]	]	PUNCT
ap-2813	8	4	and	and	CCONJ
ap-2813	8	5	by	by	ADP
ap-2813	8	6	kemblowski	kemblowski	PROPN
ap-2813	8	7	and	and	CCONJ
ap-2813	8	8	petera	petera	NOUN
ap-2813	8	9	[	[	X
ap-2813	8	10	4	4	NUM
ap-2813	8	11	]	]	PUNCT
ap-2813	8	12	.	.	PUNCT
ap-2813	9	1	a	a	DET
ap-2813	9	2	steady	steady	ADJ
ap-2813	9	3	flow	flow	NOUN
ap-2813	9	4	and	and	CCONJ
ap-2813	9	5	variable	variable	ADJ
ap-2813	9	6	radial	radial	ADJ
ap-2813	9	7	velocity	velocity	NOUN
ap-2813	9	8	profile	profile	NOUN
ap-2813	9	9	were	be	AUX
ap-2813	9	10	considered	consider	VERB
ap-2813	9	11	in	in	ADP
ap-2813	9	12	the	the	DET
ap-2813	9	13	fem	fem	NOUN
ap-2813	9	14	solution	solution	NOUN
ap-2813	9	15	,	,	PUNCT
ap-2813	9	16	sestak	sestak	PROPN
ap-2813	9	17	et	et	PROPN
ap-2813	9	18	al	al	PROPN
ap-2813	9	19	.	.	PUNCT
ap-2813	10	1	[	[	X
ap-2813	10	2	5	5	NUM
ap-2813	10	3	]	]	PUNCT
ap-2813	10	4	,	,	PUNCT
ap-2813	10	5	using	use	VERB
ap-2813	10	6	houska	houska	NOUN
ap-2813	10	7	’s	’s	PART
ap-2813	10	8	constitutive	constitutive	ADJ
ap-2813	10	9	model	model	NOUN
ap-2813	10	10	[	[	X
ap-2813	10	11	6	6	NUM
ap-2813	10	12	]	]	PUNCT
ap-2813	10	13	that	that	PRON
ap-2813	10	14	takes	take	VERB
ap-2813	10	15	into	into	ADP
ap-2813	10	16	account	account	NOUN
ap-2813	10	17	yield	yield	NOUN
ap-2813	10	18	stresses	stress	NOUN
ap-2813	10	19	.	.	PUNCT
ap-2813	11	1	solutions	solution	NOUN
ap-2813	11	2	describing	describe	VERB
ap-2813	11	3	unsteady	unsteady	ADJ
ap-2813	11	4	flows	flow	NOUN
ap-2813	11	5	of	of	ADP
ap-2813	11	6	thixotropic	thixotropic	NOUN
ap-2813	11	7	fluids	fluid	NOUN
ap-2813	11	8	are	be	AUX
ap-2813	11	9	not	not	PART
ap-2813	11	10	so	so	ADV
ap-2813	11	11	frequent	frequent	ADJ
ap-2813	11	12	,	,	PUNCT
ap-2813	11	13	and	and	CCONJ
ap-2813	11	14	are	be	AUX
ap-2813	11	15	concerned	concern	VERB
ap-2813	11	16	mostly	mostly	ADV
ap-2813	11	17	with	with	ADP
ap-2813	11	18	the	the	DET
ap-2813	11	19	specific	specific	ADJ
ap-2813	11	20	problem	problem	NOUN
ap-2813	11	21	of	of	ADP
ap-2813	11	22	restarting	restart	VERB
ap-2813	11	23	waxy	waxy	ADJ
ap-2813	11	24	crude	crude	ADJ
ap-2813	11	25	oil	oil	NOUN
ap-2813	11	26	in	in	ADP
ap-2813	11	27	pipelines	pipeline	NOUN
ap-2813	11	28	,	,	PUNCT
ap-2813	11	29	starting	start	VERB
ap-2813	11	30	from	from	ADP
ap-2813	11	31	the	the	DET
ap-2813	11	32	crude	crude	ADJ
ap-2813	11	33	approximation	approximation	NOUN
ap-2813	11	34	by	by	ADP
ap-2813	11	35	zitny	zitny	NOUN
ap-2813	12	1	[	[	X
ap-2813	12	2	7	7	NUM
ap-2813	12	3	]	]	PUNCT
ap-2813	12	4	or	or	CCONJ
ap-2813	12	5	simulations	simulation	NOUN
ap-2813	12	6	presented	present	VERB
ap-2813	12	7	by	by	ADP
ap-2813	12	8	de	de	PROPN
ap-2813	12	9	oliveira	oliveira	PROPN
ap-2813	12	10	et	et	PROPN
ap-2813	12	11	al	al	PROPN
ap-2813	12	12	.	.	PUNCT
ap-2813	13	1	[	[	X
ap-2813	13	2	8	8	X
ap-2813	13	3	]	]	PUNCT
ap-2813	13	4	up	up	ADP
ap-2813	13	5	to	to	ADP
ap-2813	13	6	the	the	DET
ap-2813	13	7	most	most	ADV
ap-2813	13	8	complex	complex	ADJ
ap-2813	13	9	cfd	cfd	NOUN
ap-2813	13	10	methods	method	NOUN
ap-2813	13	11	published	publish	VERB
ap-2813	13	12	in	in	ADP
ap-2813	13	13	a	a	DET
ap-2813	13	14	series	series	NOUN
ap-2813	13	15	of	of	ADP
ap-2813	13	16	papers	paper	NOUN
ap-2813	13	17	by	by	ADP
ap-2813	13	18	wachs	wach	NOUN
ap-2813	13	19	et	et	PROPN
ap-2813	13	20	al	al	PROPN
ap-2813	13	21	.	.	PUNCT
ap-2813	14	1	[	[	X
ap-2813	14	2	9	9	NUM
ap-2813	14	3	]	]	PUNCT
ap-2813	14	4	and	and	CCONJ
ap-2813	14	5	negrao	negrao	PROPN
ap-2813	14	6	et	et	PROPN
ap-2813	14	7	al	al	PROPN
ap-2813	14	8	.	.	PUNCT
ap-2813	15	1	[	[	X
ap-2813	15	2	10	10	NUM
ap-2813	15	3	]	]	PUNCT
ap-2813	15	4	.	.	PUNCT
ap-2813	16	1	these	these	DET
ap-2813	16	2	cfd	cfd	NOUN
ap-2813	16	3	solutions	solution	NOUN
ap-2813	16	4	of	of	ADP
ap-2813	16	5	compressible	compressible	ADJ
ap-2813	16	6	fluids	fluid	NOUN
ap-2813	16	7	described	describe	VERB
ap-2813	16	8	by	by	ADP
ap-2813	16	9	houska	houska	NOUN
ap-2813	16	10	’s	’s	PART
ap-2813	16	11	model	model	NOUN
ap-2813	16	12	of	of	ADP
ap-2813	16	13	thixotropy	thixotropy	NOUN
ap-2813	16	14	are	be	AUX
ap-2813	16	15	based	base	VERB
ap-2813	16	16	upon	upon	SCONJ
ap-2813	16	17	techniques	technique	NOUN
ap-2813	16	18	developed	develop	VERB
ap-2813	16	19	by	by	ADP
ap-2813	16	20	vinay	vinay	PROPN
ap-2813	16	21	et	et	PROPN
ap-2813	16	22	al	al	PROPN
ap-2813	16	23	.	.	PUNCT
ap-2813	17	1	[	[	X
ap-2813	17	2	11	11	NUM
ap-2813	17	3	,	,	PUNCT
ap-2813	17	4	12	12	NUM
ap-2813	17	5	]	]	PUNCT
ap-2813	17	6	,	,	PUNCT
ap-2813	17	7	for	for	ADP
ap-2813	17	8	compressible	compressible	ADJ
ap-2813	17	9	bingham	bingham	PROPN
ap-2813	17	10	fluids	fluid	NOUN
ap-2813	17	11	.	.	PUNCT
ap-2813	18	1	the	the	DET
ap-2813	18	2	methods	method	NOUN
ap-2813	18	3	can	can	AUX
ap-2813	18	4	be	be	AUX
ap-2813	18	5	characterized	characterize	VERB
ap-2813	18	6	as	as	SCONJ
ap-2813	18	7	follows	follow	VERB
ap-2813	18	8	:	:	PUNCT
ap-2813	18	9	2d	2d	NUM
ap-2813	18	10	orthogonal	orthogonal	ADJ
ap-2813	18	11	staggered	stagger	VERB
ap-2813	18	12	grid	grid	NOUN
ap-2813	18	13	,	,	PUNCT
ap-2813	18	14	augmented	augment	VERB
ap-2813	18	15	lagrangian	lagrangian	ADJ
ap-2813	18	16	multiplier	multipli	ADJ
ap-2813	18	17	method	method	NOUN
ap-2813	18	18	for	for	ADP
ap-2813	18	19	pressures	pressure	NOUN
ap-2813	18	20	and	and	CCONJ
ap-2813	18	21	uzawa	uzawa	NOUN
ap-2813	18	22	algorithm	algorithm	NOUN
ap-2813	18	23	applied	apply	VERB
ap-2813	18	24	to	to	ADP
ap-2813	18	25	the	the	DET
ap-2813	18	26	resulting	result	VERB
ap-2813	18	27	saddle	saddle	NOUN
ap-2813	18	28	point	point	NOUN
ap-2813	18	29	problem	problem	NOUN
ap-2813	18	30	.	.	PUNCT
ap-2813	19	1	all	all	DET
ap-2813	19	2	the	the	DET
ap-2813	19	3	previous	previous	ADJ
ap-2813	19	4	models	model	NOUN
ap-2813	19	5	assume	assume	VERB
ap-2813	19	6	purely	purely	ADV
ap-2813	19	7	convective	convective	ADJ
ap-2813	19	8	transport	transport	NOUN
ap-2813	19	9	of	of	ADP
ap-2813	19	10	structural	structural	ADJ
ap-2813	19	11	parameter	parameter	PROPN
ap-2813	19	12	λ	λ	PROPN
ap-2813	19	13	.	.	PUNCT
ap-2813	20	1	the	the	DET
ap-2813	20	2	exception	exception	NOUN
ap-2813	20	3	is	be	AUX
ap-2813	20	4	a	a	DET
ap-2813	20	5	generalization	generalization	NOUN
ap-2813	20	6	of	of	ADP
ap-2813	20	7	the	the	DET
ap-2813	20	8	moore	moore	PROPN
ap-2813	20	9	’s	’s	PART
ap-2813	20	10	model	model	NOUN
ap-2813	20	11	of	of	ADP
ap-2813	20	12	thixotropy	thixotropy	NOUN
ap-2813	20	13	with	with	ADP
ap-2813	20	14	a	a	DET
ap-2813	20	15	molecular	molecular	ADJ
ap-2813	20	16	diffusion	diffusion	NOUN
ap-2813	20	17	term	term	NOUN
ap-2813	20	18	suggested	suggest	VERB
ap-2813	20	19	by	by	ADP
ap-2813	20	20	billingham	billingham	PROPN
ap-2813	20	21	and	and	CCONJ
ap-2813	20	22	fergusson	fergusson	PROPN
ap-2813	20	23	[	[	X
ap-2813	20	24	13	13	NUM
ap-2813	20	25	]	]	PUNCT
ap-2813	20	26	.	.	PUNCT
ap-2813	21	1	the	the	DET
ap-2813	21	2	1d	1d	NUM
ap-2813	21	3	and	and	CCONJ
ap-2813	21	4	2d	2d	NUM
ap-2813	21	5	models	model	NOUN
ap-2813	21	6	presented	present	VERB
ap-2813	21	7	in	in	ADP
ap-2813	21	8	this	this	DET
ap-2813	21	9	paper	paper	NOUN
ap-2813	21	10	introduce	introduce	VERB
ap-2813	21	11	a	a	DET
ap-2813	21	12	generalization	generalization	NOUN
ap-2813	21	13	of	of	ADP
ap-2813	21	14	houska	houska	NOUN
ap-2813	21	15	’s	’s	PART
ap-2813	21	16	model	model	NOUN
ap-2813	21	17	by	by	ADP
ap-2813	21	18	adding	add	VERB
ap-2813	21	19	a	a	DET
ap-2813	21	20	diffusion	diffusion	NOUN
ap-2813	21	21	term	term	NOUN
ap-2813	21	22	into	into	ADP
ap-2813	21	23	the	the	DET
ap-2813	21	24	transport	transport	NOUN
ap-2813	21	25	equation	equation	NOUN
ap-2813	21	26	for	for	ADP
ap-2813	21	27	λ	λ	PROPN
ap-2813	21	28	.	.	PUNCT
ap-2813	22	1	the	the	DET
ap-2813	22	2	1d	1d	NUM
ap-2813	22	3	model	model	NOUN
ap-2813	22	4	assumes	assume	VERB
ap-2813	22	5	infinite	infinite	VERB
ap-2813	22	6	radial	radial	ADJ
ap-2813	22	7	diffusion	diffusion	NOUN
ap-2813	22	8	and	and	CCONJ
ap-2813	22	9	uniform	uniform	ADJ
ap-2813	22	10	radial	radial	ADJ
ap-2813	22	11	profile	profile	NOUN
ap-2813	22	12	of	of	ADP
ap-2813	22	13	λ	λ	NOUN
ap-2813	22	14	,	,	PUNCT
ap-2813	22	15	while	while	SCONJ
ap-2813	22	16	the	the	DET
ap-2813	22	17	2d	2d	PROPN
ap-2813	22	18	model	model	NOUN
ap-2813	22	19	assumes	assume	VERB
ap-2813	22	20	zero	zero	NUM
ap-2813	22	21	diffusion	diffusion	NOUN
ap-2813	22	22	and	and	CCONJ
ap-2813	22	23	a	a	DET
ap-2813	22	24	strong	strong	ADJ
ap-2813	22	25	radial	radial	ADJ
ap-2813	22	26	variation	variation	NOUN
ap-2813	22	27	of	of	ADP
ap-2813	22	28	λ	λ	PROPN
ap-2813	22	29	.	.	PUNCT
ap-2813	23	1	the	the	DET
ap-2813	23	2	aim	aim	NOUN
ap-2813	23	3	of	of	ADP
ap-2813	23	4	the	the	DET
ap-2813	23	5	following	follow	VERB
ap-2813	23	6	analysis	analysis	NOUN
ap-2813	23	7	is	be	AUX
ap-2813	23	8	to	to	PART
ap-2813	23	9	compare	compare	VERB
ap-2813	23	10	predictions	prediction	NOUN
ap-2813	23	11	of	of	ADP
ap-2813	23	12	pressure	pressure	NOUN
ap-2813	23	13	drops	drop	NOUN
ap-2813	23	14	corresponding	correspond	VERB
ap-2813	23	15	to	to	ADP
ap-2813	23	16	the	the	DET
ap-2813	23	17	1d	1d	NUM
ap-2813	23	18	and	and	CCONJ
ap-2813	23	19	2d	2d	NUM
ap-2813	23	20	extremes	extreme	NOUN
ap-2813	23	21	.	.	PUNCT
ap-2813	24	1	2	2	X
ap-2813	24	2	.	.	X
ap-2813	24	3	motivation	motivation	VERB
ap-2813	24	4	the	the	DET
ap-2813	24	5	problem	problem	NOUN
ap-2813	24	6	of	of	ADP
ap-2813	24	7	unsteady	unsteady	ADJ
ap-2813	24	8	flow	flow	NOUN
ap-2813	24	9	of	of	ADP
ap-2813	24	10	thixotropic	thixotropic	NOUN
ap-2813	24	11	liquid	liquid	NOUN
ap-2813	24	12	in	in	ADP
ap-2813	24	13	a	a	DET
ap-2813	24	14	pipe	pipe	NOUN
ap-2813	24	15	was	be	AUX
ap-2813	24	16	initiated	initiate	VERB
ap-2813	24	17	by	by	ADP
ap-2813	24	18	the	the	DET
ap-2813	24	19	industry	industry	NOUN
ap-2813	24	20	and	and	CCONJ
ap-2813	24	21	by	by	ADP
ap-2813	24	22	the	the	DET
ap-2813	24	23	demand	demand	NOUN
ap-2813	24	24	for	for	ADP
ap-2813	24	25	an	an	DET
ap-2813	24	26	on	on	ADP
ap-2813	24	27	-	-	PUNCT
ap-2813	24	28	line	line	NOUN
ap-2813	24	29	recording	recording	NOUN
ap-2813	24	30	of	of	ADP
ap-2813	24	31	rheological	rheological	ADJ
ap-2813	24	32	properties	property	NOUN
ap-2813	24	33	of	of	ADP
ap-2813	24	34	collagenous	collagenous	ADJ
ap-2813	24	35	material	material	NOUN
ap-2813	24	36	used	use	VERB
ap-2813	24	37	for	for	ADP
ap-2813	24	38	the	the	DET
ap-2813	24	39	extrusion	extrusion	NOUN
ap-2813	24	40	of	of	ADP
ap-2813	24	41	collagen	collagen	NOUN
ap-2813	24	42	casings	casing	NOUN
ap-2813	24	43	.	.	PUNCT
ap-2813	25	1	the	the	DET
ap-2813	25	2	time	time	NOUN
ap-2813	25	3	independent	independent	PROPN
ap-2813	25	4	herschel	herschel	PROPN
ap-2813	25	5	bulkley	bulkley	PROPN
ap-2813	25	6	rheological	rheological	ADJ
ap-2813	25	7	model	model	NOUN
ap-2813	25	8	was	be	AUX
ap-2813	25	9	capable	capable	ADJ
ap-2813	25	10	of	of	ADP
ap-2813	25	11	describing	describe	VERB
ap-2813	25	12	rheograms	rheogram	NOUN
ap-2813	25	13	of	of	ADP
ap-2813	25	14	collagenous	collagenous	ADJ
ap-2813	25	15	material	material	NOUN
ap-2813	25	16	for	for	ADP
ap-2813	25	17	a	a	DET
ap-2813	25	18	wide	wide	ADJ
ap-2813	25	19	range	range	NOUN
ap-2813	25	20	of	of	ADP
ap-2813	25	21	deformation	deformation	NOUN
ap-2813	25	22	rates	rate	NOUN
ap-2813	25	23	;	;	PUNCT
ap-2813	25	24	however	however	ADV
ap-2813	25	25	it	it	PRON
ap-2813	25	26	was	be	AUX
ap-2813	25	27	not	not	PART
ap-2813	25	28	able	able	ADJ
ap-2813	25	29	to	to	PART
ap-2813	25	30	describe	describe	VERB
ap-2813	25	31	a	a	DET
ap-2813	25	32	slight	slight	ADJ
ap-2813	25	33	observed	observe	VERB
ap-2813	25	34	hysteresis	hysteresis	NOUN
ap-2813	25	35	of	of	ADP
ap-2813	25	36	hydraulic	hydraulic	ADJ
ap-2813	25	37	characteristic	characteristic	NOUN
ap-2813	25	38	(	(	PUNCT
ap-2813	25	39	pressure	pressure	NOUN
ap-2813	25	40	drop	drop	NOUN
ap-2813	25	41	versus	versus	ADP
ap-2813	25	42	flowrate	flowrate	ADJ
ap-2813	25	43	)	)	PUNCT
ap-2813	25	44	at	at	ADP
ap-2813	25	45	transient	transient	ADJ
ap-2813	25	46	flows	flow	NOUN
ap-2813	25	47	.	.	PUNCT
ap-2813	26	1	the	the	DET
ap-2813	26	2	thixotropic	thixotropic	ADJ
ap-2813	26	3	properties	property	NOUN
ap-2813	26	4	of	of	ADP
ap-2813	26	5	collagen	collagen	NOUN
ap-2813	26	6	were	be	AUX
ap-2813	26	7	identified	identify	VERB
ap-2813	26	8	as	as	ADP
ap-2813	26	9	a	a	DET
ap-2813	26	10	possible	possible	ADJ
ap-2813	26	11	reason	reason	NOUN
ap-2813	26	12	.	.	PUNCT
ap-2813	27	1	the	the	DET
ap-2813	27	2	suggested	suggest	VERB
ap-2813	27	3	thixotropic	thixotropic	NOUN
ap-2813	27	4	models	model	NOUN
ap-2813	27	5	can	can	AUX
ap-2813	27	6	be	be	AUX
ap-2813	27	7	used	use	VERB
ap-2813	27	8	not	not	PART
ap-2813	27	9	only	only	ADV
ap-2813	27	10	for	for	ADP
ap-2813	27	11	modeling	modeling	NOUN
ap-2813	27	12	of	of	ADP
ap-2813	27	13	the	the	DET
ap-2813	27	14	hysteresis	hysteresis	NOUN
ap-2813	27	15	,	,	PUNCT
ap-2813	27	16	but	but	CCONJ
ap-2813	27	17	also	also	ADV
ap-2813	27	18	for	for	ADP
ap-2813	27	19	simulation	simulation	NOUN
ap-2813	27	20	of	of	ADP
ap-2813	27	21	production	production	NOUN
ap-2813	27	22	lines	line	NOUN
ap-2813	27	23	(	(	PUNCT
ap-2813	27	24	collagenous	collagenous	ADJ
ap-2813	27	25	materials	material	NOUN
ap-2813	27	26	used	use	VERB
ap-2813	27	27	for	for	ADP
ap-2813	27	28	extrusion	extrusion	NOUN
ap-2813	27	29	of	of	ADP
ap-2813	27	30	vascular	vascular	ADJ
ap-2813	27	31	grafts	graft	NOUN
ap-2813	27	32	in	in	ADP
ap-2813	27	33	biomedicine	biomedicine	NOUN
ap-2813	27	34	(	(	PUNCT
ap-2813	27	35	kumar	kumar	PROPN
ap-2813	28	1	[	[	X
ap-2813	28	2	14	14	NUM
ap-2813	28	3	]	]	SYM
ap-2813	28	4	)	)	PUNCT
ap-2813	28	5	,	,	PUNCT
ap-2813	28	6	or	or	CCONJ
ap-2813	28	7	as	as	ADP
ap-2813	28	8	sausage	sausage	NOUN
ap-2813	28	9	casings	casing	NOUN
ap-2813	28	10	in	in	ADP
ap-2813	28	11	food	food	NOUN
ap-2813	28	12	industry	industry	NOUN
ap-2813	28	13	,	,	PUNCT
ap-2813	28	14	deiber	deiber	PROPN
ap-2813	28	15	et	et	PROPN
ap-2813	28	16	al	al	PROPN
ap-2813	29	1	.	.	PUNCT
ap-2813	30	1	[	[	X
ap-2813	30	2	15	15	NUM
ap-2813	30	3	]	]	NUM
ap-2813	30	4	)	)	PUNCT
ap-2813	30	5	.	.	PUNCT
ap-2813	31	1	nevertheless	nevertheless	ADV
ap-2813	31	2	,	,	PUNCT
ap-2813	31	3	information	information	NOUN
ap-2813	31	4	on	on	ADP
ap-2813	31	5	rheological	rheological	ADJ
ap-2813	31	6	properties	property	NOUN
ap-2813	31	7	of	of	ADP
ap-2813	31	8	collagen	collagen	NOUN
ap-2813	31	9	is	be	AUX
ap-2813	31	10	restricted	restrict	VERB
ap-2813	31	11	due	due	ADP
ap-2813	31	12	to	to	ADP
ap-2813	31	13	problems	problem	NOUN
ap-2813	31	14	with	with	ADP
ap-2813	31	15	the	the	DET
ap-2813	31	16	application	application	NOUN
ap-2813	31	17	of	of	ADP
ap-2813	31	18	rotational	rotational	ADJ
ap-2813	31	19	rheometers	rheometer	NOUN
ap-2813	31	20	.	.	PUNCT
ap-2813	32	1	usually	usually	ADV
ap-2813	32	2	only	only	ADV
ap-2813	32	3	rheograms	rheogram	NOUN
ap-2813	32	4	measured	measure	VERB
ap-2813	32	5	by	by	ADP
ap-2813	32	6	capillary	capillary	ADJ
ap-2813	32	7	rheometers	rheometer	NOUN
ap-2813	32	8	are	be	AUX
ap-2813	32	9	available	available	ADJ
ap-2813	32	10	,	,	PUNCT
ap-2813	32	11	giving	give	VERB
ap-2813	32	12	no	no	DET
ap-2813	32	13	information	information	NOUN
ap-2813	32	14	about	about	ADP
ap-2813	32	15	thixotropy	thixotropy	NOUN
ap-2813	32	16	.	.	PUNCT
ap-2813	33	1	the	the	DET
ap-2813	33	2	only	only	ADJ
ap-2813	33	3	exception	exception	NOUN
ap-2813	33	4	is	be	AUX
ap-2813	33	5	a	a	DET
ap-2813	33	6	paper	paper	NOUN
ap-2813	33	7	by	by	ADP
ap-2813	33	8	deiber	deiber	PROPN
ap-2813	33	9	et	et	PROPN
ap-2813	33	10	al	al	PROPN
ap-2813	33	11	.	.	PUNCT
ap-2813	34	1	[	[	X
ap-2813	34	2	15	15	NUM
ap-2813	34	3	]	]	PUNCT
ap-2813	34	4	,	,	PUNCT
ap-2813	34	5	reporting	report	VERB
ap-2813	34	6	thixotropy	thixotropy	NOUN
ap-2813	34	7	of	of	ADP
ap-2813	34	8	collagen	collagen	NOUN
ap-2813	34	9	suspensions	suspension	NOUN
ap-2813	34	10	at	at	ADP
ap-2813	34	11	low	low	ADJ
ap-2813	34	12	concentration	concentration	NOUN
ap-2813	34	13	(	(	PUNCT
ap-2813	34	14	0.5–3.7	0.5–3.7	NOUN
ap-2813	34	15	%	%	NOUN
ap-2813	34	16	)	)	PUNCT
ap-2813	34	17	,	,	PUNCT
ap-2813	34	18	using	use	VERB
ap-2813	34	19	a	a	DET
ap-2813	34	20	rotational	rotational	ADJ
ap-2813	34	21	rheometer	rheometer	NOUN
ap-2813	34	22	and	and	CCONJ
ap-2813	34	23	a	a	DET
ap-2813	34	24	cone	cone	NOUN
ap-2813	34	25	and	and	CCONJ
ap-2813	34	26	plate	plate	NOUN
ap-2813	34	27	configuration	configuration	NOUN
ap-2813	34	28	.	.	PUNCT
ap-2813	35	1	3	3	X
ap-2813	35	2	.	.	X
ap-2813	35	3	methods	method	NOUN
ap-2813	35	4	this	this	DET
ap-2813	35	5	paper	paper	NOUN
ap-2813	35	6	is	be	AUX
ap-2813	35	7	devoted	devote	VERB
ap-2813	35	8	to	to	ADP
ap-2813	35	9	numerical	numerical	ADJ
ap-2813	35	10	modelling	modelling	NOUN
ap-2813	35	11	of	of	ADP
ap-2813	35	12	unsteady	unsteady	ADJ
ap-2813	35	13	flow	flow	NOUN
ap-2813	35	14	of	of	ADP
ap-2813	35	15	thixotropic	thixotropic	ADJ
ap-2813	35	16	liquids	liquid	NOUN
ap-2813	35	17	in	in	ADP
ap-2813	35	18	circular	circular	ADJ
ap-2813	35	19	pipes	pipe	NOUN
ap-2813	35	20	.	.	PUNCT
ap-2813	36	1	as	as	ADP
ap-2813	36	2	a	a	DET
ap-2813	36	3	possible	possible	ADJ
ap-2813	36	4	application	application	NOUN
ap-2813	36	5	of	of	ADP
ap-2813	36	6	the	the	DET
ap-2813	36	7	suggested	suggest	VERB
ap-2813	36	8	methods	method	NOUN
ap-2813	36	9	the	the	DET
ap-2813	36	10	analysis	analysis	NOUN
ap-2813	36	11	of	of	ADP
ap-2813	36	12	hysteresis	hysteresis	NOUN
ap-2813	36	13	of	of	ADP
ap-2813	36	14	the	the	DET
ap-2813	36	15	hydraulic	hydraulic	ADJ
ap-2813	36	16	characteristics	characteristic	NOUN
ap-2813	36	17	observed	observe	VERB
ap-2813	36	18	at	at	ADP
ap-2813	36	19	a	a	DET
ap-2813	36	20	production	production	NOUN
ap-2813	36	21	line	line	NOUN
ap-2813	36	22	of	of	ADP
ap-2813	36	23	collagen	collagen	NOUN
ap-2813	36	24	casings	casing	NOUN
ap-2813	36	25	will	will	AUX
ap-2813	36	26	be	be	AUX
ap-2813	36	27	presented	present	VERB
ap-2813	36	28	.	.	PUNCT
ap-2813	37	1	352	352	NUM
ap-2813	37	2	http://dx.doi.org/10.14311/ap.2015.55.0352	http://dx.doi.org/10.14311/ap.2015.55.0352	NOUN
ap-2813	37	3	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-2813	37	4	vol	vol	NOUN
ap-2813	37	5	.	.	PUNCT
ap-2813	38	1	55	55	NUM
ap-2813	38	2	no	no	NOUN
ap-2813	38	3	.	.	PUNCT
ap-2813	39	1	5/2015	5/2015	NUM
ap-2813	39	2	unsteady	unsteady	ADJ
ap-2813	39	3	flow	flow	NOUN
ap-2813	39	4	of	of	ADP
ap-2813	39	5	thixotropic	thixotropic	NOUN
ap-2813	39	6	collagen	collagen	NOUN
ap-2813	39	7	substance	substance	NOUN
ap-2813	39	8	in	in	ADP
ap-2813	39	9	pipes	pipe	NOUN
ap-2813	39	10	figure	figure	NOUN
ap-2813	39	11	1	1	NUM
ap-2813	39	12	.	.	PUNCT
ap-2813	39	13	setup	setup	NOUN
ap-2813	39	14	of	of	ADP
ap-2813	39	15	experimental	experimental	ADJ
ap-2813	39	16	pipeline	pipeline	NOUN
ap-2813	39	17	.	.	PUNCT
ap-2813	40	1	3.1	3.1	NUM
ap-2813	40	2	.	.	PUNCT
ap-2813	40	3	experimental	experimental	ADJ
ap-2813	40	4	setup	setup	NOUN
ap-2813	40	5	and	and	CCONJ
ap-2813	40	6	procedure	procedure	NOUN
ap-2813	40	7	the	the	DET
ap-2813	40	8	experiments	experiment	NOUN
ap-2813	40	9	were	be	AUX
ap-2813	40	10	realized	realize	VERB
ap-2813	40	11	at	at	ADP
ap-2813	40	12	the	the	DET
ap-2813	40	13	production	production	NOUN
ap-2813	40	14	extrusion	extrusion	NOUN
ap-2813	40	15	line	line	NOUN
ap-2813	40	16	devro	devro	NOUN
ap-2813	40	17	jilemnice	jilemnice	NOUN
ap-2813	40	18	shown	show	VERB
ap-2813	40	19	schematically	schematically	NOUN
ap-2813	40	20	in	in	ADP
ap-2813	40	21	fig	fig	NOUN
ap-2813	40	22	.	.	PUNCT
ap-2813	41	1	1	1	X
ap-2813	41	2	.	.	X
ap-2813	41	3	the	the	DET
ap-2813	41	4	processed	process	VERB
ap-2813	41	5	material	material	NOUN
ap-2813	41	6	(	(	PUNCT
ap-2813	41	7	collagenous	collagenous	ADJ
ap-2813	41	8	matter	matter	NOUN
ap-2813	41	9	:	:	PUNCT
ap-2813	41	10	approximately	approximately	ADV
ap-2813	41	11	7	7	NUM
ap-2813	41	12	%	%	NOUN
ap-2813	41	13	mass	mass	NOUN
ap-2813	41	14	fraction	fraction	NOUN
ap-2813	41	15	of	of	ADP
ap-2813	41	16	bovine	bovine	ADJ
ap-2813	41	17	collagen	collagen	NOUN
ap-2813	41	18	and	and	CCONJ
ap-2813	41	19	water	water	NOUN
ap-2813	41	20	)	)	PUNCT
ap-2813	41	21	is	be	AUX
ap-2813	41	22	delivered	deliver	VERB
ap-2813	41	23	from	from	ADP
ap-2813	41	24	a	a	DET
ap-2813	41	25	storage	storage	NOUN
ap-2813	41	26	tank	tank	NOUN
ap-2813	41	27	by	by	ADP
ap-2813	41	28	an	an	DET
ap-2813	41	29	aqm	aqm	PROPN
ap-2813	41	30	57	57	NUM
ap-2813	41	31	-	-	SYM
ap-2813	41	32	20	20	NUM
ap-2813	41	33	/	/	SYM
ap-2813	41	34	s003	s003	PROPN
ap-2813	41	35	positive	positive	ADJ
ap-2813	41	36	displacement	displacement	NOUN
ap-2813	41	37	pump	pump	NOUN
ap-2813	41	38	,	,	PUNCT
ap-2813	41	39	through	through	ADP
ap-2813	41	40	a	a	DET
ap-2813	41	41	relatively	relatively	ADV
ap-2813	41	42	long	long	ADJ
ap-2813	41	43	pipe	pipe	NOUN
ap-2813	41	44	(	(	PUNCT
ap-2813	41	45	l	l	NOUN
ap-2813	41	46	=	=	PUNCT
ap-2813	41	47	4.287	4.287	NUM
ap-2813	41	48	m	m	NOUN
ap-2813	41	49	,	,	PUNCT
ap-2813	41	50	r	r	NOUN
ap-2813	41	51	=	=	SYM
ap-2813	41	52	0.0106	0.0106	NUM
ap-2813	41	53	m	m	NOUN
ap-2813	41	54	)	)	PUNCT
ap-2813	41	55	to	to	ADP
ap-2813	41	56	an	an	DET
ap-2813	41	57	extruder	extruder	NOUN
ap-2813	41	58	.	.	PUNCT
ap-2813	42	1	the	the	DET
ap-2813	42	2	flow	flow	NOUN
ap-2813	42	3	rate	rate	NOUN
ap-2813	42	4	is	be	AUX
ap-2813	42	5	controlled	control	VERB
ap-2813	42	6	by	by	ADP
ap-2813	42	7	varying	vary	VERB
ap-2813	42	8	the	the	DET
ap-2813	42	9	pumping	pumping	NOUN
ap-2813	42	10	speed	speed	NOUN
ap-2813	42	11	and	and	CCONJ
ap-2813	42	12	the	the	DET
ap-2813	42	13	pressure	pressure	NOUN
ap-2813	42	14	drops	drop	NOUN
ap-2813	42	15	(	(	PUNCT
ap-2813	42	16	changes	change	NOUN
ap-2813	42	17	)	)	PUNCT
ap-2813	42	18	are	be	AUX
ap-2813	42	19	recorded	record	VERB
ap-2813	42	20	by	by	ADP
ap-2813	42	21	dmp	dmp	PROPN
ap-2813	42	22	331p	331p	PROPN
ap-2813	42	23	(	(	PUNCT
ap-2813	42	24	bd	bd	PROPN
ap-2813	42	25	sensors	sensor	NOUN
ap-2813	42	26	)	)	PUNCT
ap-2813	42	27	pressure	pressure	NOUN
ap-2813	42	28	transducers	transducer	NOUN
ap-2813	42	29	.	.	PUNCT
ap-2813	43	1	special	special	ADJ
ap-2813	43	2	experiments	experiment	NOUN
ap-2813	43	3	characterized	characterize	VERB
ap-2813	43	4	by	by	ADP
ap-2813	43	5	a	a	DET
ap-2813	43	6	gradual	gradual	ADJ
ap-2813	43	7	increase	increase	NOUN
ap-2813	43	8	and	and	CCONJ
ap-2813	43	9	decrease	decrease	NOUN
ap-2813	43	10	of	of	ADP
ap-2813	43	11	mass	mass	ADJ
ap-2813	43	12	flow	flow	NOUN
ap-2813	43	13	rate	rate	NOUN
ap-2813	43	14	at	at	ADP
ap-2813	43	15	constant	constant	ADJ
ap-2813	43	16	temperature	temperature	NOUN
ap-2813	43	17	and	and	CCONJ
ap-2813	43	18	constant	constant	ADJ
ap-2813	43	19	composition	composition	NOUN
ap-2813	43	20	of	of	ADP
ap-2813	43	21	tested	test	VERB
ap-2813	43	22	matter	matter	NOUN
ap-2813	43	23	were	be	AUX
ap-2813	43	24	carried	carry	VERB
ap-2813	43	25	out	out	ADP
ap-2813	43	26	during	during	ADP
ap-2813	43	27	a	a	DET
ap-2813	43	28	break	break	NOUN
ap-2813	43	29	of	of	ADP
ap-2813	43	30	production	production	NOUN
ap-2813	43	31	in	in	ADP
ap-2813	43	32	the	the	DET
ap-2813	43	33	extrusion	extrusion	NOUN
ap-2813	43	34	processing	processing	NOUN
ap-2813	43	35	line	line	NOUN
ap-2813	43	36	with	with	ADP
ap-2813	43	37	the	the	DET
ap-2813	43	38	goal	goal	NOUN
ap-2813	43	39	of	of	ADP
ap-2813	43	40	identifying	identify	VERB
ap-2813	43	41	parameters	parameter	NOUN
ap-2813	43	42	for	for	ADP
ap-2813	43	43	the	the	DET
ap-2813	43	44	herschel	herschel	PROPN
ap-2813	43	45	-	-	PUNCT
ap-2813	43	46	bulkley	bulkley	NOUN
ap-2813	43	47	rheological	rheological	ADJ
ap-2813	43	48	model	model	NOUN
ap-2813	43	49	.	.	PUNCT
ap-2813	44	1	most	most	ADJ
ap-2813	44	2	details	detail	NOUN
ap-2813	44	3	concerning	concern	VERB
ap-2813	44	4	the	the	DET
ap-2813	44	5	technical	technical	ADJ
ap-2813	44	6	realization	realization	NOUN
ap-2813	44	7	and	and	CCONJ
ap-2813	44	8	the	the	DET
ap-2813	44	9	composition	composition	NOUN
ap-2813	44	10	of	of	ADP
ap-2813	44	11	the	the	DET
ap-2813	44	12	processed	process	VERB
ap-2813	44	13	collagenous	collagenous	ADJ
ap-2813	44	14	material	material	NOUN
ap-2813	44	15	are	be	AUX
ap-2813	44	16	confidential	confidential	ADJ
ap-2813	44	17	,	,	PUNCT
ap-2813	44	18	and	and	CCONJ
ap-2813	44	19	only	only	ADV
ap-2813	44	20	limited	limited	ADJ
ap-2813	44	21	data	data	NOUN
ap-2813	44	22	files	file	NOUN
ap-2813	44	23	(	(	PUNCT
ap-2813	44	24	time	time	NOUN
ap-2813	44	25	;	;	PUNCT
ap-2813	44	26	flow	flow	NOUN
ap-2813	44	27	rate	rate	NOUN
ap-2813	44	28	;	;	PUNCT
ap-2813	44	29	pressure	pressure	NOUN
ap-2813	44	30	drop	drop	NOUN
ap-2813	44	31	)	)	PUNCT
ap-2813	44	32	were	be	AUX
ap-2813	44	33	released	release	VERB
ap-2813	44	34	.	.	PUNCT
ap-2813	45	1	nevertheless	nevertheless	ADV
ap-2813	45	2	these	these	DET
ap-2813	45	3	experiments	experiment	NOUN
ap-2813	45	4	serve	serve	VERB
ap-2813	45	5	as	as	ADP
ap-2813	45	6	illustration	illustration	NOUN
ap-2813	45	7	and	and	CCONJ
ap-2813	45	8	as	as	ADP
ap-2813	45	9	a	a	DET
ap-2813	45	10	test	test	NOUN
ap-2813	45	11	of	of	ADP
ap-2813	45	12	the	the	DET
ap-2813	45	13	possibilities	possibility	NOUN
ap-2813	45	14	of	of	ADP
ap-2813	45	15	the	the	DET
ap-2813	45	16	suggested	suggest	VERB
ap-2813	45	17	methods	method	NOUN
ap-2813	45	18	in	in	ADP
ap-2813	45	19	real	real	ADJ
ap-2813	45	20	applications	application	NOUN
ap-2813	45	21	.	.	PUNCT
ap-2813	46	1	the	the	DET
ap-2813	46	2	processed	process	VERB
ap-2813	46	3	material	material	NOUN
ap-2813	46	4	,	,	PUNCT
ap-2813	46	5	at	at	ADP
ap-2813	46	6	relatively	relatively	ADV
ap-2813	46	7	high	high	ADJ
ap-2813	46	8	concentrations	concentration	NOUN
ap-2813	46	9	of	of	ADP
ap-2813	46	10	bovine	bovine	ADJ
ap-2813	46	11	collagen	collagen	NOUN
ap-2813	46	12	(	(	PUNCT
ap-2813	46	13	7	7	NUM
ap-2813	46	14	%	%	NOUN
ap-2813	46	15	)	)	PUNCT
ap-2813	46	16	,	,	PUNCT
ap-2813	46	17	is	be	AUX
ap-2813	46	18	a	a	DET
ap-2813	46	19	viscoelastic	viscoelastic	ADJ
ap-2813	46	20	paste	paste	NOUN
ap-2813	46	21	that	that	PRON
ap-2813	46	22	looks	look	VERB
ap-2813	46	23	like	like	ADP
ap-2813	46	24	“	"	PUNCT
ap-2813	46	25	silly	silly	ADJ
ap-2813	46	26	putty	putty	NOUN
ap-2813	46	27	”	"	PUNCT
ap-2813	46	28	.	.	PUNCT
ap-2813	47	1	our	our	PRON
ap-2813	47	2	preliminary	preliminary	ADJ
ap-2813	47	3	experiments	experiment	NOUN
ap-2813	47	4	in	in	ADP
ap-2813	47	5	the	the	DET
ap-2813	47	6	laboratory	laboratory	NOUN
ap-2813	47	7	confirmed	confirm	VERB
ap-2813	47	8	linear	linear	ADJ
ap-2813	47	9	viscoelasticity	viscoelasticity	NOUN
ap-2813	47	10	at	at	ADP
ap-2813	47	11	small	small	ADJ
ap-2813	47	12	deformations	deformation	NOUN
ap-2813	47	13	(	(	PUNCT
ap-2813	47	14	measured	measure	VERB
ap-2813	47	15	by	by	ADP
ap-2813	47	16	the	the	DET
ap-2813	47	17	cone	cone	NOUN
ap-2813	47	18	and	and	CCONJ
ap-2813	47	19	plate	plate	NOUN
ap-2813	47	20	oscillating	oscillate	VERB
ap-2813	47	21	rheometer	rheometer	NOUN
ap-2813	47	22	haake	haake	NOUN
ap-2813	47	23	giving	give	VERB
ap-2813	47	24	a	a	DET
ap-2813	47	25	module	module	NOUN
ap-2813	47	26	of	of	ADP
ap-2813	47	27	g′	g′	NOUN
ap-2813	47	28	of	of	ADP
ap-2813	47	29	5	5	NUM
ap-2813	47	30	kpa	kpa	PROPN
ap-2813	47	31	,	,	PUNCT
ap-2813	47	32	g′′	g′′	PROPN
ap-2813	47	33	of	of	ADP
ap-2813	47	34	2	2	NUM
ap-2813	47	35	kpa	kpa	NOUN
ap-2813	47	36	)	)	PUNCT
ap-2813	47	37	.	.	PUNCT
ap-2813	48	1	experiments	experiment	NOUN
ap-2813	48	2	with	with	ADP
ap-2813	48	3	rotational	rotational	ADJ
ap-2813	48	4	rheometers	rheometer	NOUN
ap-2813	48	5	at	at	ADP
ap-2813	48	6	constant	constant	ADJ
ap-2813	48	7	deformation	deformation	NOUN
ap-2813	48	8	rates	rate	NOUN
ap-2813	48	9	failed	fail	VERB
ap-2813	48	10	due	due	ADJ
ap-2813	48	11	to	to	ADP
ap-2813	48	12	very	very	ADV
ap-2813	48	13	high	high	ADJ
ap-2813	48	14	consistency	consistency	NOUN
ap-2813	48	15	.	.	PUNCT
ap-2813	49	1	therefore	therefore	ADV
ap-2813	49	2	,	,	PUNCT
ap-2813	49	3	no	no	DET
ap-2813	49	4	independent	independent	ADJ
ap-2813	49	5	evaluation	evaluation	NOUN
ap-2813	49	6	of	of	ADP
ap-2813	49	7	thixotropic	thixotropic	NOUN
ap-2813	49	8	time	time	NOUN
ap-2813	49	9	constants	constant	NOUN
ap-2813	49	10	was	be	AUX
ap-2813	49	11	realized	realize	VERB
ap-2813	49	12	.	.	PUNCT
ap-2813	50	1	laboratory	laboratory	NOUN
ap-2813	50	2	tests	test	NOUN
ap-2813	50	3	of	of	ADP
ap-2813	50	4	several	several	ADJ
ap-2813	50	5	collagen	collagen	NOUN
ap-2813	50	6	samples	sample	NOUN
ap-2813	50	7	,	,	PUNCT
ap-2813	50	8	carried	carry	VERB
ap-2813	50	9	out	out	ADP
ap-2813	50	10	by	by	ADP
ap-2813	50	11	using	use	VERB
ap-2813	50	12	size	size	NOUN
ap-2813	50	13	exclusion	exclusion	NOUN
ap-2813	50	14	chromatography	chromatography	NOUN
ap-2813	50	15	and	and	CCONJ
ap-2813	50	16	uv	uv	NOUN
ap-2813	50	17	detection	detection	NOUN
ap-2813	50	18	,	,	PUNCT
ap-2813	50	19	identified	identify	VERB
ap-2813	50	20	the	the	DET
ap-2813	50	21	existence	existence	NOUN
ap-2813	50	22	of	of	ADP
ap-2813	50	23	very	very	ADV
ap-2813	50	24	long	long	ADJ
ap-2813	50	25	collagen	collagen	NOUN
ap-2813	50	26	fibres	fibre	NOUN
ap-2813	50	27	(	(	PUNCT
ap-2813	50	28	19	19	NUM
ap-2813	50	29	%	%	NOUN
ap-2813	50	30	of	of	ADP
ap-2813	50	31	the	the	DET
ap-2813	50	32	longest	long	ADJ
ap-2813	50	33	fraction	fraction	NOUN
ap-2813	50	34	780	780	NUM
ap-2813	50	35	kda	kda	NOUN
ap-2813	50	36	)	)	PUNCT
ap-2813	50	37	.	.	PUNCT
ap-2813	51	1	3.2	3.2	NUM
ap-2813	51	2	.	.	PUNCT
ap-2813	52	1	constitutive	constitutive	ADJ
ap-2813	52	2	equation	equation	NOUN
ap-2813	52	3	the	the	DET
ap-2813	52	4	houska	houska	NOUN
ap-2813	52	5	’s	’s	PART
ap-2813	52	6	thixotropic	thixotropic	NOUN
ap-2813	52	7	model	model	NOUN
ap-2813	52	8	[	[	X
ap-2813	52	9	6	6	NUM
ap-2813	52	10	]	]	PUNCT
ap-2813	52	11	is	be	AUX
ap-2813	52	12	a	a	DET
ap-2813	52	13	generalization	generalization	NOUN
ap-2813	52	14	of	of	ADP
ap-2813	52	15	the	the	DET
ap-2813	52	16	routinely	routinely	ADV
ap-2813	52	17	used	use	VERB
ap-2813	52	18	herschel	herschel	PROPN
ap-2813	52	19	bulkley	bulkley	PROPN
ap-2813	52	20	constitutive	constitutive	ADJ
ap-2813	52	21	equation	equation	NOUN
ap-2813	52	22	,	,	PUNCT
ap-2813	52	23	simplified	simplify	VERB
ap-2813	52	24	for	for	ADP
ap-2813	52	25	the	the	DET
ap-2813	52	26	special	special	ADJ
ap-2813	52	27	case	case	NOUN
ap-2813	52	28	of	of	ADP
ap-2813	52	29	simple	simple	ADJ
ap-2813	52	30	shear	shear	NOUN
ap-2813	52	31	flow	flow	NOUN
ap-2813	52	32	to	to	ADP
ap-2813	52	33	the	the	DET
ap-2813	52	34	scalar	scalar	ADJ
ap-2813	52	35	equation	equation	NOUN
ap-2813	52	36	for	for	ADP
ap-2813	52	37	shear	shear	NOUN
ap-2813	52	38	stress	stress	NOUN
ap-2813	52	39	τ	τ	PROPN
ap-2813	52	40	:	:	PUNCT
ap-2813	52	41	τ	τ	X
ap-2813	52	42	=	=	PUNCT
ap-2813	52	43	τy	τy	X
ap-2813	52	44	+	+	NUM
ap-2813	52	45	∆τyλ+	∆τyλ+	PROPN
ap-2813	52	46	(	(	PUNCT
ap-2813	52	47	k	k	NOUN
ap-2813	52	48	+	+	PROPN
ap-2813	52	49	∆kλ)γ̇n	∆kλ)γ̇n	NOUN
ap-2813	52	50	;	;	PUNCT
ap-2813	53	1	γ̇	γ̇	PROPN
ap-2813	53	2	=	=	PUNCT
ap-2813	53	3	∂u	∂u	PROPN
ap-2813	54	1	∂r	∂r	INTJ
ap-2813	54	2	.	.	PUNCT
ap-2813	55	1	(	(	PUNCT
ap-2813	55	2	1	1	X
ap-2813	55	3	)	)	PUNCT
ap-2813	55	4	the	the	DET
ap-2813	55	5	structural	structural	ADJ
ap-2813	55	6	parameter	parameter	NOUN
ap-2813	55	7	λ=1	λ=1	X
ap-2813	55	8	describes	describe	VERB
ap-2813	55	9	a	a	DET
ap-2813	55	10	fully	fully	ADV
ap-2813	55	11	recovered	recover	VERB
ap-2813	55	12	internal	internal	ADJ
ap-2813	55	13	structure	structure	NOUN
ap-2813	55	14	,	,	PUNCT
ap-2813	55	15	while	while	SCONJ
ap-2813	55	16	λ=0	λ=0	PROPN
ap-2813	55	17	corresponds	correspond	VERB
ap-2813	55	18	to	to	ADP
ap-2813	55	19	a	a	DET
ap-2813	55	20	completely	completely	ADV
ap-2813	55	21	destroyed	destroy	VERB
ap-2813	55	22	structure	structure	NOUN
ap-2813	55	23	.	.	PUNCT
ap-2813	56	1	time	time	NOUN
ap-2813	56	2	changes	change	NOUN
ap-2813	56	3	for	for	ADP
ap-2813	56	4	structural	structural	ADJ
ap-2813	56	5	parameter	parameter	NOUN
ap-2813	56	6	λ	λ	NOUN
ap-2813	56	7	are	be	AUX
ap-2813	56	8	described	describe	VERB
ap-2813	56	9	by	by	ADP
ap-2813	56	10	the	the	DET
ap-2813	56	11	transport	transport	NOUN
ap-2813	56	12	equation	equation	NOUN
ap-2813	56	13	:	:	PUNCT
ap-2813	57	1	dλ	dλ	NOUN
ap-2813	57	2	dt	dt	NOUN
ap-2813	58	1	=	=	SYM
ap-2813	58	2	dλ∇2λ+	dλ∇2λ+	ADJ
ap-2813	58	3	a(1−	a(1−	NOUN
ap-2813	59	1	λ)−	λ)−	X
ap-2813	59	2	bλγ̇m	bλγ̇m	NUM
ap-2813	59	3	.	.	PUNCT
ap-2813	60	1	(	(	PUNCT
ap-2813	60	2	2	2	X
ap-2813	60	3	)	)	PUNCT
ap-2813	60	4	the	the	DET
ap-2813	60	5	diffusion	diffusion	NOUN
ap-2813	60	6	term	term	NOUN
ap-2813	60	7	on	on	ADP
ap-2813	60	8	the	the	DET
ap-2813	60	9	right	right	ADJ
ap-2813	60	10	side	side	NOUN
ap-2813	60	11	is	be	AUX
ap-2813	60	12	usually	usually	ADV
ap-2813	60	13	neglected	neglect	VERB
ap-2813	60	14	and	and	CCONJ
ap-2813	60	15	only	only	ADV
ap-2813	60	16	the	the	DET
ap-2813	60	17	terms	term	NOUN
ap-2813	60	18	for	for	ADP
ap-2813	60	19	regeneration	regeneration	NOUN
ap-2813	60	20	(	(	PUNCT
ap-2813	60	21	a	a	NOUN
ap-2813	60	22	)	)	PUNCT
ap-2813	60	23	and	and	CCONJ
ap-2813	60	24	structure	structure	NOUN
ap-2813	60	25	destruction	destruction	NOUN
ap-2813	60	26	(	(	PUNCT
ap-2813	60	27	b	b	NOUN
ap-2813	60	28	)	)	PUNCT
ap-2813	60	29	are	be	AUX
ap-2813	60	30	considered	consider	VERB
ap-2813	60	31	.	.	PUNCT
ap-2813	61	1	3.3	3.3	NUM
ap-2813	61	2	.	.	PUNCT
ap-2813	61	3	radially	radially	ADV
ap-2813	61	4	independent	independent	ADJ
ap-2813	61	5	structural	structural	ADJ
ap-2813	61	6	parameter	parameter	NOUN
ap-2813	61	7	(	(	PUNCT
ap-2813	61	8	1d	1d	NUM
ap-2813	61	9	model	model	NOUN
ap-2813	61	10	)	)	PUNCT
ap-2813	61	11	the	the	DET
ap-2813	61	12	assumption	assumption	NOUN
ap-2813	61	13	that	that	SCONJ
ap-2813	61	14	the	the	DET
ap-2813	61	15	structural	structural	ADJ
ap-2813	61	16	parameter	parameter	NOUN
ap-2813	61	17	λ	λ	PROPN
ap-2813	61	18	depends	depend	VERB
ap-2813	61	19	only	only	ADV
ap-2813	61	20	on	on	ADP
ap-2813	61	21	the	the	DET
ap-2813	61	22	axial	axial	ADJ
ap-2813	61	23	coordinate	coordinate	NOUN
ap-2813	61	24	and	and	CCONJ
ap-2813	61	25	on	on	ADP
ap-2813	61	26	time	time	NOUN
ap-2813	61	27	λ(t	λ(t	NOUN
ap-2813	61	28	,	,	PUNCT
ap-2813	61	29	x	x	PRON
ap-2813	61	30	)	)	PUNCT
ap-2813	61	31	would	would	AUX
ap-2813	61	32	represent	represent	VERB
ap-2813	61	33	a	a	DET
ap-2813	61	34	great	great	ADJ
ap-2813	61	35	simplification	simplification	NOUN
ap-2813	61	36	.	.	PUNCT
ap-2813	62	1	this	this	DET
ap-2813	62	2	case	case	NOUN
ap-2813	62	3	is	be	AUX
ap-2813	62	4	probably	probably	ADV
ap-2813	62	5	more	more	ADV
ap-2813	62	6	relevant	relevant	ADJ
ap-2813	62	7	for	for	ADP
ap-2813	62	8	polymeric	polymeric	ADJ
ap-2813	62	9	chains	chain	NOUN
ap-2813	62	10	with	with	ADP
ap-2813	62	11	clusters	cluster	NOUN
ap-2813	62	12	of	of	ADP
ap-2813	62	13	a	a	DET
ap-2813	62	14	size	size	NOUN
ap-2813	62	15	comparable	comparable	ADJ
ap-2813	62	16	with	with	ADP
ap-2813	62	17	the	the	DET
ap-2813	62	18	pipe	pipe	NOUN
ap-2813	62	19	radius	radius	NOUN
ap-2813	62	20	(	(	PUNCT
ap-2813	62	21	the	the	DET
ap-2813	62	22	tested	test	VERB
ap-2813	62	23	collagen	collagen	NOUN
ap-2813	62	24	is	be	AUX
ap-2813	62	25	characterized	characterize	VERB
ap-2813	62	26	by	by	ADP
ap-2813	62	27	extremely	extremely	ADV
ap-2813	62	28	long	long	ADJ
ap-2813	62	29	chains	chain	NOUN
ap-2813	62	30	with	with	ADP
ap-2813	62	31	molecular	molecular	ADJ
ap-2813	62	32	mass	mass	NOUN
ap-2813	62	33	780	780	NUM
ap-2813	62	34	kda	kda	NOUN
ap-2813	62	35	)	)	PUNCT
ap-2813	62	36	.	.	PUNCT
ap-2813	63	1	3.3.1	3.3.1	X
ap-2813	63	2	.	.	PUNCT
ap-2813	63	3	flow	flow	NOUN
ap-2813	63	4	of	of	ADP
ap-2813	63	5	a	a	DET
ap-2813	63	6	herschel	herschel	NOUN
ap-2813	63	7	-	-	PUNCT
ap-2813	63	8	bulkley	bulkley	NOUN
ap-2813	63	9	fluid	fluid	NOUN
ap-2813	63	10	in	in	ADP
ap-2813	63	11	a	a	DET
ap-2813	63	12	pipe	pipe	NOUN
ap-2813	63	13	if	if	SCONJ
ap-2813	63	14	λ	λ	PROPN
ap-2813	63	15	is	be	AUX
ap-2813	63	16	independent	independent	ADJ
ap-2813	63	17	from	from	ADP
ap-2813	63	18	the	the	DET
ap-2813	63	19	radial	radial	ADJ
ap-2813	63	20	coordinate	coordinate	NOUN
ap-2813	63	21	,	,	PUNCT
ap-2813	63	22	then	then	ADV
ap-2813	63	23	the	the	DET
ap-2813	63	24	effective	effective	ADJ
ap-2813	63	25	consistency	consistency	NOUN
ap-2813	63	26	k	k	NOUN
ap-2813	63	27	?	?	PUNCT
ap-2813	64	1	and	and	CCONJ
ap-2813	64	2	the	the	DET
ap-2813	64	3	yield	yield	NOUN
ap-2813	64	4	stress	stress	NOUN
ap-2813	64	5	τ?y	τ?y	PROPN
ap-2813	64	6	depend	depend	VERB
ap-2813	64	7	only	only	ADV
ap-2813	64	8	upon	upon	SCONJ
ap-2813	64	9	time	time	NOUN
ap-2813	64	10	and	and	CCONJ
ap-2813	64	11	the	the	DET
ap-2813	64	12	axial	axial	ADJ
ap-2813	64	13	coordinate	coordinate	NOUN
ap-2813	64	14	:	:	PUNCT
ap-2813	64	15	k	k	X
ap-2813	64	16	?	?	PUNCT
ap-2813	65	1	=	=	PUNCT
ap-2813	66	1	k	k	PROPN
ap-2813	67	1	+	+	CCONJ
ap-2813	67	2	λ∆k	λ∆k	ADV
ap-2813	67	3	;	;	PUNCT
ap-2813	67	4	τ?y	τ?y	PROPN
ap-2813	67	5	=	=	PUNCT
ap-2813	67	6	τy	τy	X
ap-2813	67	7	+	+	NUM
ap-2813	67	8	λ∆τy	λ∆τy	NOUN
ap-2813	67	9	.	.	PUNCT
ap-2813	68	1	(	(	PUNCT
ap-2813	68	2	3	3	X
ap-2813	68	3	)	)	PUNCT
ap-2813	68	4	353	353	NUM
ap-2813	68	5	r.	r.	PROPN
ap-2813	68	6	zitny	zitny	PROPN
ap-2813	68	7	,	,	PUNCT
ap-2813	68	8	a.	a.	NOUN
ap-2813	68	9	landfeld	landfeld	PROPN
ap-2813	68	10	,	,	PUNCT
ap-2813	68	11	j.	j.	PROPN
ap-2813	68	12	skocilas	skocilas	PROPN
ap-2813	68	13	et	et	PROPN
ap-2813	68	14	al	al	PROPN
ap-2813	68	15	.	.	PROPN
ap-2813	68	16	acta	acta	PROPN
ap-2813	68	17	polytechnica	polytechnica	PROPN
ap-2813	68	18	figure	figure	NOUN
ap-2813	68	19	2	2	NUM
ap-2813	68	20	.	.	NOUN
ap-2813	68	21	time	time	NOUN
ap-2813	68	22	course	course	NOUN
ap-2813	68	23	of	of	ADP
ap-2813	68	24	flow	flow	NOUN
ap-2813	68	25	rate	rate	NOUN
ap-2813	68	26	for	for	ADP
ap-2813	68	27	tested	test	VERB
ap-2813	68	28	cases	case	NOUN
ap-2813	68	29	.	.	PUNCT
ap-2813	69	1	therefore	therefore	ADV
ap-2813	69	2	,	,	PUNCT
ap-2813	69	3	it	it	PRON
ap-2813	69	4	is	be	AUX
ap-2813	69	5	possible	possible	ADJ
ap-2813	69	6	to	to	PART
ap-2813	69	7	use	use	VERB
ap-2813	69	8	the	the	DET
ap-2813	69	9	rmw	rmw	PROPN
ap-2813	69	10	(	(	PUNCT
ap-2813	69	11	rabinowitsch	rabinowitsch	PROPN
ap-2813	69	12	,	,	PUNCT
ap-2813	69	13	mooney	mooney	PROPN
ap-2813	69	14	,	,	PUNCT
ap-2813	69	15	weissenberg	weissenberg	NOUN
ap-2813	69	16	)	)	PUNCT
ap-2813	69	17	equation	equation	NOUN
ap-2813	69	18	for	for	ADP
ap-2813	69	19	volumetric	volumetric	NOUN
ap-2813	69	20	flow	flow	NOUN
ap-2813	69	21	rate	rate	NOUN
ap-2813	69	22	expressed	express	VERB
ap-2813	69	23	as	as	ADP
ap-2813	69	24	a	a	DET
ap-2813	69	25	function	function	NOUN
ap-2813	69	26	of	of	ADP
ap-2813	69	27	wall	wall	PROPN
ap-2813	69	28	shear	shear	PROPN
ap-2813	69	29	stress	stress	NOUN
ap-2813	69	30	(	(	PUNCT
ap-2813	69	31	or	or	CCONJ
ap-2813	69	32	gradient	gradient	NOUN
ap-2813	69	33	of	of	ADP
ap-2813	69	34	pressure	pressure	NOUN
ap-2813	69	35	):	):	PUNCT
ap-2813	69	36	v̇	v̇	NOUN
ap-2813	69	37	πr3	πr3	NOUN
ap-2813	69	38	=	=	PUNCT
ap-2813	69	39	(	(	PUNCT
ap-2813	69	40	τw	τw	INTJ
ap-2813	69	41	k	k	NOUN
ap-2813	69	42	?	?	PUNCT
ap-2813	69	43	)	)	PUNCT
ap-2813	69	44	1	1	NUM
ap-2813	69	45	n	n	CCONJ
ap-2813	69	46	(	(	PUNCT
ap-2813	69	47	n	n	CCONJ
ap-2813	69	48	3n+	3n+	NUM
ap-2813	69	49	1	1	NUM
ap-2813	69	50	(	(	PUNCT
ap-2813	69	51	1−	1−	NUM
ap-2813	69	52	τ?y	τ?y	PROPN
ap-2813	69	53	τw	τw	NOUN
ap-2813	69	54	)	)	PUNCT
ap-2813	69	55	3n+1	3n+1	PROPN
ap-2813	69	56	n	n	NOUN
ap-2813	69	57	+	+	CCONJ
ap-2813	69	58	2n	2n	NUM
ap-2813	69	59	2n+	2n+	NUM
ap-2813	69	60	1	1	NUM
ap-2813	69	61	τ?y	τ?y	PROPN
ap-2813	69	62	τw	τw	NOUN
ap-2813	69	63	(	(	PUNCT
ap-2813	69	64	1−	1−	NUM
ap-2813	69	65	τ?y	τ?y	PROPN
ap-2813	69	66	τw	τw	NOUN
ap-2813	69	67	)	)	PUNCT
ap-2813	69	68	2n+1	2n+1	PROPN
ap-2813	69	69	n	n	NOUN
ap-2813	69	70	+	+	CCONJ
ap-2813	69	71	n	n	CCONJ
ap-2813	69	72	n+	n+	NUM
ap-2813	69	73	1	1	NUM
ap-2813	69	74	(	(	PUNCT
ap-2813	69	75	τ?y	τ?y	PROPN
ap-2813	69	76	τw	τw	NOUN
ap-2813	69	77	)	)	PUNCT
ap-2813	69	78	2	2	NUM
ap-2813	69	79	(	(	PUNCT
ap-2813	69	80	1−	1−	NUM
ap-2813	69	81	τ?y	τ?y	PROPN
ap-2813	69	82	τw	τw	NOUN
ap-2813	69	83	)	)	PUNCT
ap-2813	69	84	n+1	n+1	PROPN
ap-2813	69	85	n	n	PROPN
ap-2813	69	86	)	)	PUNCT
ap-2813	69	87	.	.	PUNCT
ap-2813	70	1	(	(	PUNCT
ap-2813	70	2	4	4	NUM
ap-2813	70	3	)	)	PUNCT
ap-2813	70	4	because	because	SCONJ
ap-2813	70	5	we	we	PRON
ap-2813	70	6	need	need	VERB
ap-2813	70	7	to	to	PART
ap-2813	70	8	calculate	calculate	VERB
ap-2813	70	9	the	the	DET
ap-2813	70	10	wall	wall	NOUN
ap-2813	70	11	shear	shear	PROPN
ap-2813	70	12	stress	stress	NOUN
ap-2813	70	13	for	for	ADP
ap-2813	70	14	a	a	DET
ap-2813	70	15	given	give	VERB
ap-2813	70	16	flow	flow	NOUN
ap-2813	70	17	rate	rate	NOUN
ap-2813	70	18	,	,	PUNCT
ap-2813	70	19	it	it	PRON
ap-2813	70	20	is	be	AUX
ap-2813	70	21	necessary	necessary	ADJ
ap-2813	70	22	to	to	PART
ap-2813	70	23	iterate	iterate	VERB
ap-2813	70	24	the	the	DET
ap-2813	70	25	inverse	inverse	NOUN
ap-2813	70	26	relationship	relationship	NOUN
ap-2813	70	27	:	:	PUNCT
ap-2813	70	28	τw	τw	PUNCT
ap-2813	71	1	=	=	PUNCT
ap-2813	71	2	τ?y	τ?y	PROPN
ap-2813	71	3	+	+	PROPN
ap-2813	71	4	k	k	NOUN
ap-2813	71	5	?	?	PUNCT
ap-2813	72	1	(	(	PUNCT
ap-2813	72	2	v̇	v̇	NOUN
ap-2813	72	3	κ(τw)πr3	κ(τw)πr3	PROPN
ap-2813	72	4	)	)	PUNCT
ap-2813	72	5	n	n	CCONJ
ap-2813	72	6	,	,	PUNCT
ap-2813	72	7	(	(	PUNCT
ap-2813	72	8	5	5	X
ap-2813	72	9	)	)	PUNCT
ap-2813	72	10	κ(τw	κ(τw	NOUN
ap-2813	72	11	)	)	PUNCT
ap-2813	72	12	=	=	SYM
ap-2813	72	13	n	n	CCONJ
ap-2813	72	14	3n+	3n+	NUM
ap-2813	72	15	1	1	NUM
ap-2813	72	16	(	(	PUNCT
ap-2813	72	17	1−	1−	NUM
ap-2813	72	18	1	1	NUM
ap-2813	72	19	2n+	2n+	NUM
ap-2813	72	20	1	1	NUM
ap-2813	72	21	τ?y	τ?y	PROPN
ap-2813	72	22	τw	τw	NOUN
ap-2813	72	23	−	−	PROPN
ap-2813	72	24	2n	2n	NUM
ap-2813	72	25	(	(	PUNCT
ap-2813	72	26	2n+	2n+	NUM
ap-2813	72	27	1)(n+	1)(n+	NUM
ap-2813	72	28	1	1	NUM
ap-2813	72	29	)	)	PUNCT
ap-2813	72	30	(	(	PUNCT
ap-2813	72	31	(	(	PUNCT
ap-2813	72	32	τ?y	τ?y	PROPN
ap-2813	72	33	τw	τw	NOUN
ap-2813	72	34	)	)	PUNCT
ap-2813	72	35	2	2	NUM
ap-2813	72	36	+	+	SYM
ap-2813	72	37	n	n	X
ap-2813	72	38	(	(	PUNCT
ap-2813	72	39	τ?y	τ?y	PROPN
ap-2813	72	40	τw	τw	NOUN
ap-2813	72	41	)	)	PUNCT
ap-2813	72	42	3	3	NUM
ap-2813	72	43	)	)	PUNCT
ap-2813	72	44	)	)	PUNCT
ap-2813	72	45	.	.	PUNCT
ap-2813	73	1	(	(	PUNCT
ap-2813	73	2	6	6	NUM
ap-2813	73	3	)	)	PUNCT
ap-2813	73	4	after	after	ADP
ap-2813	73	5	just	just	ADV
ap-2813	73	6	a	a	DET
ap-2813	73	7	few	few	ADJ
ap-2813	73	8	iterations	iteration	NOUN
ap-2813	73	9	,	,	PUNCT
ap-2813	73	10	the	the	DET
ap-2813	73	11	process	process	NOUN
ap-2813	73	12	converges	converge	VERB
ap-2813	73	13	for	for	ADP
ap-2813	73	14	arbitrary	arbitrary	ADJ
ap-2813	73	15	model	model	NOUN
ap-2813	73	16	parameters	parameter	NOUN
ap-2813	73	17	.	.	PUNCT
ap-2813	74	1	equations	equation	NOUN
ap-2813	74	2	(	(	PUNCT
ap-2813	74	3	3)–(6	3)–(6	X
ap-2813	74	4	)	)	PUNCT
ap-2813	74	5	were	be	AUX
ap-2813	74	6	presented	present	VERB
ap-2813	74	7	recently	recently	ADV
ap-2813	74	8	by	by	ADP
ap-2813	74	9	zitny	zitny	PROPN
ap-2813	74	10	et	et	PROPN
ap-2813	74	11	al	al	PROPN
ap-2813	74	12	.	.	PUNCT
ap-2813	75	1	[	[	X
ap-2813	75	2	16	16	NUM
ap-2813	75	3	]	]	PUNCT
ap-2813	75	4	in	in	ADP
ap-2813	75	5	a	a	DET
ap-2813	75	6	simplified	simplified	ADJ
ap-2813	75	7	1d	1d	NUM
ap-2813	75	8	model	model	NOUN
ap-2813	75	9	.	.	PUNCT
ap-2813	76	1	3.3.2	3.3.2	X
ap-2813	76	2	.	.	PUNCT
ap-2813	77	1	flow	flow	NOUN
ap-2813	77	2	of	of	ADP
ap-2813	77	3	a	a	DET
ap-2813	77	4	herschel	herschel	NOUN
ap-2813	77	5	-	-	PUNCT
ap-2813	77	6	bulkley	bulkley	NOUN
ap-2813	77	7	fluid	fluid	NOUN
ap-2813	77	8	in	in	ADP
ap-2813	77	9	a	a	DET
ap-2813	77	10	pipe	pipe	NOUN
ap-2813	77	11	the	the	DET
ap-2813	77	12	transport	transport	NOUN
ap-2813	77	13	equation	equation	NOUN
ap-2813	77	14	(	(	PUNCT
ap-2813	77	15	2	2	X
ap-2813	77	16	)	)	PUNCT
ap-2813	77	17	can	can	AUX
ap-2813	77	18	be	be	AUX
ap-2813	77	19	integrated	integrate	VERB
ap-2813	77	20	across	across	ADP
ap-2813	77	21	the	the	DET
ap-2813	77	22	cross	cross	NOUN
ap-2813	77	23	section	section	NOUN
ap-2813	77	24	of	of	ADP
ap-2813	77	25	the	the	DET
ap-2813	77	26	pipe	pipe	NOUN
ap-2813	77	27	and	and	CCONJ
ap-2813	77	28	the	the	DET
ap-2813	77	29	last	last	ADJ
ap-2813	77	30	term	term	NOUN
ap-2813	77	31	describing	describe	VERB
ap-2813	77	32	the	the	DET
ap-2813	77	33	averaged	average	VERB
ap-2813	77	34	decomposition	decomposition	NOUN
ap-2813	77	35	of	of	ADP
ap-2813	77	36	the	the	DET
ap-2813	77	37	structure	structure	NOUN
ap-2813	77	38	can	can	AUX
ap-2813	77	39	be	be	AUX
ap-2813	77	40	expressed	express	VERB
ap-2813	77	41	in	in	ADP
ap-2813	77	42	an	an	DET
ap-2813	77	43	analytical	analytical	ADJ
ap-2813	77	44	form	form	NOUN
ap-2813	77	45	,	,	PUNCT
ap-2813	77	46	because	because	SCONJ
ap-2813	77	47	the	the	DET
ap-2813	77	48	radial	radial	ADJ
ap-2813	77	49	velocity	velocity	NOUN
ap-2813	77	50	profile	profile	NOUN
ap-2813	77	51	is	be	AUX
ap-2813	77	52	known	know	VERB
ap-2813	77	53	(	(	PUNCT
ap-2813	77	54	the	the	DET
ap-2813	77	55	mentioned	mention	VERB
ap-2813	77	56	model	model	NOUN
ap-2813	77	57	in	in	ADP
ap-2813	77	58	zitny	zitny	PROPN
ap-2813	77	59	et	et	PROPN
ap-2813	77	60	al.[16	al.[16	PROPN
ap-2813	77	61	]	]	PUNCT
ap-2813	77	62	assumed	assume	VERB
ap-2813	77	63	a	a	DET
ap-2813	77	64	constant	constant	ADJ
ap-2813	77	65	shear	shear	NOUN
ap-2813	77	66	rate	rate	NOUN
ap-2813	77	67	corresponding	correspond	VERB
ap-2813	77	68	to	to	ADP
ap-2813	77	69	newtonian	newtonian	ADJ
ap-2813	77	70	velocity	velocity	NOUN
ap-2813	77	71	profile	profile	NOUN
ap-2813	77	72	):	):	PUNCT
ap-2813	77	73	γ̇m	γ̇m	PROPN
ap-2813	78	1	=	=	SYM
ap-2813	78	2	2	2	NUM
ap-2813	78	3	r2	r2	PROPN
ap-2813	78	4	∫	∫	PROPN
ap-2813	78	5	r	r	NOUN
ap-2813	78	6	ry	ry	NOUN
ap-2813	78	7	r	r	NOUN
ap-2813	78	8	(	(	PUNCT
ap-2813	78	9	τw	τw	ADP
ap-2813	78	10	r	r	NOUN
ap-2813	78	11	r	r	NOUN
ap-2813	78	12	−	−	PROPN
ap-2813	78	13	τ	τ	PROPN
ap-2813	78	14	?	?	PUNCT
ap-2813	79	1	y	y	PROPN
ap-2813	79	2	k	k	PROPN
ap-2813	79	3	?	?	PUNCT
ap-2813	79	4	)	)	PUNCT
ap-2813	80	1	m	m	VERB
ap-2813	80	2	n	n	PRON
ap-2813	80	3	dr	dr	PROPN
ap-2813	80	4	=	=	SYM
ap-2813	80	5	=	=	SYM
ap-2813	80	6	2n(τw	2n(τw	NUM
ap-2813	80	7	−	−	PROPN
ap-2813	80	8	τ?y	τ?y	PROPN
ap-2813	80	9	)	)	PUNCT
ap-2813	80	10	m	m	VERB
ap-2813	80	11	n	n	PRON
ap-2813	80	12	+1	+1	PROPN
ap-2813	80	13	τ2	τ2	NOUN
ap-2813	81	1	wk	wk	INTJ
ap-2813	81	2	?	?	PUNCT
ap-2813	81	3	m	m	VERB
ap-2813	81	4	n	n	PRON
ap-2813	81	5	(	(	PUNCT
ap-2813	81	6	m+	m+	NUM
ap-2813	81	7	n)τw	n)τw	PROPN
ap-2813	81	8	+	+	PROPN
ap-2813	81	9	nτ?y	nτ?y	ADP
ap-2813	81	10	(	(	PUNCT
ap-2813	81	11	m+	m+	NOUN
ap-2813	81	12	2n)(m+	2n)(m+	NUM
ap-2813	81	13	n	n	CCONJ
ap-2813	81	14	)	)	PUNCT
ap-2813	81	15	.	.	PUNCT
ap-2813	82	1	(	(	PUNCT
ap-2813	82	2	7	7	X
ap-2813	82	3	)	)	PUNCT
ap-2813	82	4	for	for	ADP
ap-2813	82	5	dλ	dλ	NOUN
ap-2813	82	6	=	=	SYM
ap-2813	82	7	0	0	NUM
ap-2813	82	8	,	,	PUNCT
ap-2813	82	9	equation	equation	NOUN
ap-2813	82	10	(	(	PUNCT
ap-2813	82	11	2	2	X
ap-2813	82	12	)	)	PUNCT
ap-2813	82	13	reduces	reduce	VERB
ap-2813	82	14	to	to	ADP
ap-2813	82	15	a	a	DET
ap-2813	82	16	hyperbolic	hyperbolic	ADJ
ap-2813	82	17	equation	equation	NOUN
ap-2813	82	18	that	that	PRON
ap-2813	82	19	can	can	AUX
ap-2813	82	20	be	be	AUX
ap-2813	82	21	integrated	integrate	VERB
ap-2813	82	22	analytically	analytically	ADV
ap-2813	82	23	along	along	ADP
ap-2813	82	24	its	its	PRON
ap-2813	82	25	characteristic	characteristic	ADJ
ap-2813	82	26	dx	dx	PROPN
ap-2813	83	1	=	=	SYM
ap-2813	83	2	u	u	PROPN
ap-2813	83	3	dt	dt	X
ap-2813	83	4	giving	give	VERB
ap-2813	83	5	:	:	PUNCT
ap-2813	83	6	λ(t	λ(t	NOUN
ap-2813	83	7	)	)	PUNCT
ap-2813	84	1	=	=	SYM
ap-2813	84	2	a−	a−	X
ap-2813	84	3	(	(	PUNCT
ap-2813	84	4	a−	a−	PROPN
ap-2813	84	5	(	(	PUNCT
ap-2813	84	6	a+	a+	X
ap-2813	84	7	bγ̇m)λ0)e−(a+bγ̇m)(t−t0	bγ̇m)λ0)e−(a+bγ̇m)(t−t0	NOUN
ap-2813	84	8	)	)	PUNCT
ap-2813	84	9	a+	a+	PUNCT
ap-2813	84	10	bγ̇m	bγ̇m	X
ap-2813	84	11	,	,	PUNCT
ap-2813	84	12	(	(	PUNCT
ap-2813	84	13	8)	8)	NUM
ap-2813	84	14	where	where	SCONJ
ap-2813	84	15	λ(t	λ(t	NOUN
ap-2813	84	16	)	)	PUNCT
ap-2813	84	17	is	be	AUX
ap-2813	84	18	the	the	DET
ap-2813	84	19	value	value	NOUN
ap-2813	84	20	of	of	ADP
ap-2813	84	21	the	the	DET
ap-2813	84	22	structural	structural	ADJ
ap-2813	84	23	parameter	parameter	NOUN
ap-2813	84	24	of	of	ADP
ap-2813	84	25	a	a	DET
ap-2813	84	26	fluid	fluid	ADJ
ap-2813	84	27	particle	particle	NOUN
ap-2813	84	28	having	have	VERB
ap-2813	84	29	a	a	DET
ap-2813	84	30	value	value	NOUN
ap-2813	84	31	of	of	ADP
ap-2813	84	32	λ0	λ0	NOUN
ap-2813	84	33	at	at	ADP
ap-2813	84	34	time	time	NOUN
ap-2813	84	35	t0	t0	PROPN
ap-2813	84	36	,	,	PUNCT
ap-2813	84	37	assuming	assume	VERB
ap-2813	84	38	that	that	SCONJ
ap-2813	84	39	the	the	DET
ap-2813	84	40	particle	particle	NOUN
ap-2813	84	41	is	be	AUX
ap-2813	84	42	under	under	ADP
ap-2813	84	43	the	the	DET
ap-2813	84	44	influence	influence	NOUN
ap-2813	84	45	of	of	ADP
ap-2813	84	46	a	a	DET
ap-2813	84	47	constant	constant	ADJ
ap-2813	84	48	shear	shear	NOUN
ap-2813	84	49	rate	rate	NOUN
ap-2813	84	50	(	(	PUNCT
ap-2813	84	51	constant	constant	ADJ
ap-2813	84	52	flow	flow	NOUN
ap-2813	84	53	rate	rate	NOUN
ap-2813	84	54	)	)	PUNCT
ap-2813	84	55	within	within	ADP
ap-2813	84	56	the	the	DET
ap-2813	84	57	time	time	NOUN
ap-2813	84	58	interval	interval	NOUN
ap-2813	84	59	(	(	PUNCT
ap-2813	84	60	t0	t0	PROPN
ap-2813	84	61	,	,	PUNCT
ap-2813	84	62	t	t	PROPN
ap-2813	84	63	)	)	PUNCT
ap-2813	84	64	.	.	PUNCT
ap-2813	85	1	in	in	ADP
ap-2813	85	2	cases	case	NOUN
ap-2813	85	3	with	with	ADP
ap-2813	85	4	variable	variable	ADJ
ap-2813	85	5	flow	flow	NOUN
ap-2813	85	6	rates	rate	NOUN
ap-2813	85	7	,	,	PUNCT
ap-2813	85	8	it	it	PRON
ap-2813	85	9	is	be	AUX
ap-2813	85	10	necessary	necessary	ADJ
ap-2813	85	11	to	to	PART
ap-2813	85	12	apply	apply	VERB
ap-2813	85	13	(	(	PUNCT
ap-2813	85	14	8)	8)	NUM
ap-2813	85	15	using	use	VERB
ap-2813	85	16	shorter	short	ADJ
ap-2813	85	17	time	time	NOUN
ap-2813	85	18	steps	step	NOUN
ap-2813	85	19	during	during	ADP
ap-2813	85	20	the	the	DET
ap-2813	85	21	integration	integration	NOUN
ap-2813	85	22	.	.	PUNCT
ap-2813	86	1	the	the	DET
ap-2813	86	2	1d	1d	NUM
ap-2813	86	3	numerical	numerical	ADJ
ap-2813	86	4	solution	solution	NOUN
ap-2813	86	5	by	by	ADP
ap-2813	86	6	method	method	NOUN
ap-2813	86	7	of	of	ADP
ap-2813	86	8	characteristics	characteristic	NOUN
ap-2813	86	9	calculates	calculate	VERB
ap-2813	86	10	nodal	nodal	NOUN
ap-2813	86	11	values	value	NOUN
ap-2813	86	12	of	of	ADP
ap-2813	86	13	structural	structural	ADJ
ap-2813	86	14	parameters	parameter	NOUN
ap-2813	86	15	at	at	ADP
ap-2813	86	16	a	a	DET
ap-2813	86	17	new	new	ADJ
ap-2813	86	18	time	time	NOUN
ap-2813	86	19	t(k+1	t(k+1	NOUN
ap-2813	86	20	)	)	PUNCT
ap-2813	86	21	from	from	ADP
ap-2813	86	22	the	the	DET
ap-2813	86	23	values	value	NOUN
ap-2813	86	24	of	of	ADP
ap-2813	86	25	the	the	DET
ap-2813	86	26	structural	structural	ADJ
ap-2813	86	27	parameter	parameter	NOUN
ap-2813	86	28	λ(k	λ(k	PROPN
ap-2813	86	29	)	)	PUNCT
ap-2813	86	30	1	1	NUM
ap-2813	86	31	,	,	PUNCT
ap-2813	86	32	λ	λ	PROPN
ap-2813	86	33	(	(	PUNCT
ap-2813	86	34	k	k	NOUN
ap-2813	86	35	)	)	PUNCT
ap-2813	86	36	2	2	NUM
ap-2813	86	37	,	,	PUNCT
ap-2813	86	38	.	.	PUNCT
ap-2813	86	39	.	.	PUNCT
ap-2813	86	40	.	.	PUNCT
ap-2813	87	1	at	at	ADP
ap-2813	87	2	equidistant	equidistant	ADJ
ap-2813	87	3	nodes	node	NOUN
ap-2813	87	4	(	(	PUNCT
ap-2813	87	5	x1	x1	PROPN
ap-2813	87	6	=	=	SYM
ap-2813	87	7	0	0	PROPN
ap-2813	87	8	,	,	PUNCT
ap-2813	87	9	x2	x2	PROPN
ap-2813	87	10	=	=	SYM
ap-2813	87	11	∆x	∆x	PROPN
ap-2813	87	12	,	,	PUNCT
ap-2813	87	13	x3	x3	NOUN
ap-2813	87	14	=	=	NOUN
ap-2813	87	15	2∆x	2∆x	NUM
ap-2813	87	16	,	,	PUNCT
ap-2813	87	17	.	.	PUNCT
ap-2813	87	18	.	.	PUNCT
ap-2813	87	19	.	.	PUNCT
ap-2813	87	20	)	)	PUNCT
ap-2813	88	1	and	and	CCONJ
ap-2813	88	2	previous	previous	ADJ
ap-2813	88	3	time	time	NOUN
ap-2813	88	4	t(k	t(k	PROPN
ap-2813	88	5	)	)	PUNCT
ap-2813	88	6	.	.	PUNCT
ap-2813	89	1	the	the	DET
ap-2813	89	2	time	time	NOUN
ap-2813	89	3	step	step	NOUN
ap-2813	89	4	∆t(k	∆t(k	NOUN
ap-2813	89	5	)	)	PUNCT
ap-2813	89	6	=	=	SYM
ap-2813	89	7	t(k+1	t(k+1	X
ap-2813	89	8	)	)	PUNCT
ap-2813	89	9	−	−	PROPN
ap-2813	89	10	t(k	t(k	PROPN
ap-2813	89	11	)	)	PUNCT
ap-2813	89	12	is	be	AUX
ap-2813	89	13	not	not	PART
ap-2813	89	14	a	a	DET
ap-2813	89	15	constant	constant	ADJ
ap-2813	89	16	and	and	CCONJ
ap-2813	89	17	is	be	AUX
ap-2813	89	18	determined	determine	VERB
ap-2813	89	19	by	by	ADP
ap-2813	89	20	the	the	DET
ap-2813	89	21	volumetric	volumetric	NOUN
ap-2813	89	22	flow	flow	NOUN
ap-2813	89	23	rate	rate	NOUN
ap-2813	89	24	so	so	SCONJ
ap-2813	89	25	that	that	SCONJ
ap-2813	89	26	the	the	DET
ap-2813	89	27	fluid	fluid	ADJ
ap-2813	89	28	particle	particle	NOUN
ap-2813	89	29	moves	move	VERB
ap-2813	89	30	a	a	DET
ap-2813	89	31	distance	distance	NOUN
ap-2813	89	32	of	of	ADP
ap-2813	89	33	∆x	∆x	PROPN
ap-2813	89	34	:	:	PUNCT
ap-2813	89	35	∆t(k	∆t(k	PROPN
ap-2813	89	36	)	)	PUNCT
ap-2813	89	37	=	=	SYM
ap-2813	89	38	t(k+1	t(k+1	X
ap-2813	89	39	)	)	PUNCT
ap-2813	89	40	−	−	PROPN
ap-2813	89	41	t(k	t(k	NOUN
ap-2813	89	42	)	)	PUNCT
ap-2813	89	43	=	=	SYM
ap-2813	89	44	∆x	∆x	PROPN
ap-2813	89	45	u(k	u(k	PROPN
ap-2813	89	46	)	)	PUNCT
ap-2813	90	1	=	=	PUNCT
ap-2813	91	1	∆xπr2	∆xπr2	X
ap-2813	91	2	v̇	v̇	NOUN
ap-2813	91	3	(	(	PUNCT
ap-2813	91	4	k	k	NOUN
ap-2813	91	5	)	)	PUNCT
ap-2813	91	6	(	(	PUNCT
ap-2813	91	7	9	9	NUM
ap-2813	91	8	)	)	PUNCT
ap-2813	91	9	(	(	PUNCT
ap-2813	91	10	courant	courant	PROPN
ap-2813	91	11	friedrichs	friedrichs	PROPN
ap-2813	91	12	lewy	lewy	PROPN
ap-2813	91	13	criterion	criterion	NOUN
ap-2813	91	14	cfl	cfl	NOUN
ap-2813	91	15	u∆t/∆x	u∆t/∆x	NOUN
ap-2813	91	16	=	=	SYM
ap-2813	91	17	1	1	NUM
ap-2813	91	18	)	)	PUNCT
ap-2813	91	19	.	.	PUNCT
ap-2813	92	1	the	the	DET
ap-2813	92	2	new	new	ADJ
ap-2813	92	3	value	value	NOUN
ap-2813	92	4	of	of	ADP
ap-2813	92	5	λ(k+1	λ(k+1	PROPN
ap-2813	92	6	)	)	PUNCT
ap-2813	93	1	i	i	PRON
ap-2813	93	2	is	be	AUX
ap-2813	93	3	calculated	calculate	VERB
ap-2813	93	4	by	by	ADP
ap-2813	93	5	integration	integration	NOUN
ap-2813	93	6	of	of	ADP
ap-2813	93	7	a	a	DET
ap-2813	93	8	fluid	fluid	ADJ
ap-2813	93	9	particle	particle	NOUN
ap-2813	93	10	along	along	ADP
ap-2813	93	11	the	the	DET
ap-2813	93	12	characteristic	characteristic	NOUN
ap-2813	93	13	from	from	ADP
ap-2813	93	14	the	the	DET
ap-2813	93	15	old	old	ADJ
ap-2813	93	16	value	value	NOUN
ap-2813	93	17	λ(k	λ(k	PROPN
ap-2813	93	18	)	)	PUNCT
ap-2813	93	19	i−1	i−1	PROPN
ap-2813	93	20	using	use	VERB
ap-2813	93	21	(	(	PUNCT
ap-2813	93	22	8)	8)	NUM
ap-2813	93	23	.	.	PUNCT
ap-2813	94	1	after	after	SCONJ
ap-2813	94	2	the	the	DET
ap-2813	94	3	new	new	ADJ
ap-2813	94	4	values	value	NOUN
ap-2813	94	5	for	for	ADP
ap-2813	94	6	structural	structural	ADJ
ap-2813	94	7	parameters	parameter	NOUN
ap-2813	94	8	are	be	AUX
ap-2813	94	9	updated	update	VERB
ap-2813	94	10	,	,	PUNCT
ap-2813	94	11	wall	wall	PROPN
ap-2813	94	12	shear	shear	PROPN
ap-2813	94	13	stress	stress	NOUN
ap-2813	94	14	,	,	PUNCT
ap-2813	94	15	pressure	pressure	NOUN
ap-2813	94	16	gradient	gradient	NOUN
ap-2813	94	17	and	and	CCONJ
ap-2813	94	18	overall	overall	ADJ
ap-2813	94	19	pressure	pressure	NOUN
ap-2813	94	20	profile	profile	NOUN
ap-2813	94	21	can	can	AUX
ap-2813	94	22	be	be	AUX
ap-2813	94	23	calculated	calculate	VERB
ap-2813	94	24	from	from	ADP
ap-2813	94	25	(	(	PUNCT
ap-2813	94	26	6	6	NUM
ap-2813	94	27	)	)	PUNCT
ap-2813	94	28	.	.	PUNCT
ap-2813	95	1	354	354	NUM
ap-2813	95	2	vol	vol	NOUN
ap-2813	95	3	.	.	PUNCT
ap-2813	95	4	55	55	NUM
ap-2813	95	5	no	no	NOUN
ap-2813	95	6	.	.	PUNCT
ap-2813	96	1	5/2015	5/2015	NUM
ap-2813	96	2	unsteady	unsteady	ADJ
ap-2813	96	3	flow	flow	NOUN
ap-2813	96	4	of	of	ADP
ap-2813	96	5	thixotropic	thixotropic	NOUN
ap-2813	96	6	collagen	collagen	NOUN
ap-2813	96	7	substance	substance	NOUN
ap-2813	96	8	in	in	ADP
ap-2813	96	9	pipes	pipe	NOUN
ap-2813	96	10	figure	figure	NOUN
ap-2813	96	11	3	3	NUM
ap-2813	96	12	.	.	PUNCT
ap-2813	96	13	integral	integral	ADJ
ap-2813	96	14	1d	1d	NUM
ap-2813	96	15	model	model	NOUN
ap-2813	96	16	and	and	CCONJ
ap-2813	96	17	2d	2d	NUM
ap-2813	96	18	model	model	NOUN
ap-2813	96	19	calculated	calculate	VERB
ap-2813	96	20	for	for	ADP
ap-2813	96	21	time	time	NOUN
ap-2813	96	22	course	course	NOUN
ap-2813	96	23	of	of	ADP
ap-2813	96	24	flow	flow	NOUN
ap-2813	96	25	rate	rate	NOUN
ap-2813	96	26	shown	show	VERB
ap-2813	96	27	in	in	ADP
ap-2813	96	28	fig	fig	NOUN
ap-2813	96	29	.	.	PUNCT
ap-2813	97	1	2	2	X
ap-2813	97	2	.	.	X
ap-2813	97	3	herschel	herschel	PROPN
ap-2813	97	4	-	-	PUNCT
ap-2813	97	5	bulkley	bulkley	PROPN
ap-2813	97	6	model	model	NOUN
ap-2813	97	7	τy	τy	ADP
ap-2813	97	8	=	=	PROPN
ap-2813	97	9	100pa	100pa	PROPN
ap-2813	97	10	,	,	PUNCT
ap-2813	97	11	∆τy	∆τy	X
ap-2813	97	12	=	=	SYM
ap-2813	97	13	100pa	100pa	PROPN
ap-2813	97	14	,	,	PUNCT
ap-2813	97	15	k	k	PROPN
ap-2813	97	16	=	=	SYM
ap-2813	97	17	200pa	200pa	PROPN
ap-2813	97	18	sn	sn	PROPN
ap-2813	97	19	,	,	PUNCT
ap-2813	97	20	∆k	∆k	PROPN
ap-2813	97	21	=	=	SYM
ap-2813	97	22	250pa	250pa	PROPN
ap-2813	97	23	sn	sn	PROPN
ap-2813	97	24	,	,	PUNCT
ap-2813	97	25	n	n	PROPN
ap-2813	97	26	=	=	NOUN
ap-2813	97	27	0.38	0.38	NUM
ap-2813	97	28	.	.	PUNCT
ap-2813	98	1	transport	transport	NOUN
ap-2813	98	2	equation	equation	NOUN
ap-2813	98	3	a	a	DET
ap-2813	98	4	=	=	SYM
ap-2813	98	5	0.001	0.001	NUM
ap-2813	98	6	s−1	s−1	PROPN
ap-2813	98	7	,	,	PUNCT
ap-2813	98	8	b	b	NOUN
ap-2813	98	9	=	=	SYM
ap-2813	98	10	0.002	0.002	NUM
ap-2813	98	11	sm−1	sm−1	NOUN
ap-2813	98	12	,	,	PUNCT
ap-2813	98	13	m	m	VERB
ap-2813	98	14	=	=	NOUN
ap-2813	98	15	0.9	0.9	NUM
ap-2813	98	16	.	.	PUNCT
ap-2813	99	1	3.4	3.4	NUM
ap-2813	99	2	.	.	PUNCT
ap-2813	100	1	2d	2d	NUM
ap-2813	100	2	model	model	NOUN
ap-2813	100	3	of	of	ADP
ap-2813	100	4	velocities	velocity	NOUN
ap-2813	100	5	and	and	CCONJ
ap-2813	100	6	structural	structural	ADJ
ap-2813	100	7	parameter	parameter	NOUN
ap-2813	100	8	profiles	profile	NOUN
ap-2813	100	9	(	(	PUNCT
ap-2813	100	10	finite	finite	PROPN
ap-2813	100	11	differences	difference	NOUN
ap-2813	100	12	)	)	PUNCT
ap-2813	100	13	results	result	NOUN
ap-2813	100	14	that	that	PRON
ap-2813	100	15	are	be	AUX
ap-2813	100	16	probably	probably	ADV
ap-2813	100	17	more	more	ADV
ap-2813	100	18	realistic	realistic	ADJ
ap-2813	100	19	can	can	AUX
ap-2813	100	20	be	be	AUX
ap-2813	100	21	obtained	obtain	VERB
ap-2813	100	22	by	by	ADP
ap-2813	100	23	taking	take	VERB
ap-2813	100	24	into	into	ADP
ap-2813	100	25	account	account	NOUN
ap-2813	100	26	non	non	ADJ
ap-2813	100	27	-	-	ADJ
ap-2813	100	28	uniform	uniform	ADJ
ap-2813	100	29	structural	structural	ADJ
ap-2813	100	30	parameter	parameter	NOUN
ap-2813	100	31	profiles	profile	NOUN
ap-2813	100	32	.	.	PUNCT
ap-2813	101	1	values	value	NOUN
ap-2813	101	2	of	of	ADP
ap-2813	101	3	axial	axial	ADJ
ap-2813	101	4	uij	uij	NOUN
ap-2813	101	5	and	and	CCONJ
ap-2813	101	6	radial	radial	ADJ
ap-2813	101	7	vij	vij	NOUN
ap-2813	101	8	velocities	velocity	NOUN
ap-2813	101	9	and	and	CCONJ
ap-2813	101	10	structural	structural	ADJ
ap-2813	101	11	parameter	parameter	NOUN
ap-2813	101	12	λij	λij	NOUN
ap-2813	101	13	are	be	AUX
ap-2813	101	14	calculated	calculate	VERB
ap-2813	101	15	at	at	ADP
ap-2813	101	16	grid	grid	NOUN
ap-2813	101	17	points	point	NOUN
ap-2813	101	18	xi	xi	PROPN
ap-2813	101	19	,	,	PUNCT
ap-2813	101	20	rj	rj	PROPN
ap-2813	101	21	of	of	ADP
ap-2813	101	22	orthogonal	orthogonal	ADJ
ap-2813	101	23	nonuniform	nonuniform	ADJ
ap-2813	101	24	collocated	collocate	VERB
ap-2813	101	25	mesh	mesh	NOUN
ap-2813	101	26	using	use	VERB
ap-2813	101	27	the	the	DET
ap-2813	101	28	finite	finite	ADJ
ap-2813	101	29	differences	difference	NOUN
ap-2813	101	30	method	method	NOUN
ap-2813	101	31	.	.	PUNCT
ap-2813	102	1	radial	radial	ADJ
ap-2813	102	2	profiles	profile	NOUN
ap-2813	102	3	of	of	ADP
ap-2813	102	4	axial	axial	ADJ
ap-2813	102	5	velocities	velocity	NOUN
ap-2813	102	6	are	be	AUX
ap-2813	102	7	evaluated	evaluate	VERB
ap-2813	102	8	from	from	ADP
ap-2813	102	9	axial	axial	ADJ
ap-2813	102	10	momentum	momentum	NOUN
ap-2813	102	11	balance	balance	NOUN
ap-2813	102	12	(	(	PUNCT
ap-2813	102	13	assuming	assume	VERB
ap-2813	102	14	linear	linear	ADJ
ap-2813	102	15	radial	radial	ADJ
ap-2813	102	16	shear	shear	NOUN
ap-2813	102	17	stress	stress	NOUN
ap-2813	102	18	profile	profile	NOUN
ap-2813	102	19	and	and	CCONJ
ap-2813	102	20	a	a	DET
ap-2813	102	21	constant	constant	ADJ
ap-2813	102	22	value	value	NOUN
ap-2813	102	23	of	of	ADP
ap-2813	102	24	structural	structural	ADJ
ap-2813	102	25	parameter	parameter	NOUN
ap-2813	102	26	in	in	ADP
ap-2813	102	27	the	the	DET
ap-2813	102	28	annular	annular	ADJ
ap-2813	102	29	sections	section	NOUN
ap-2813	102	30	rj	rj	PROPN
ap-2813	102	31	,	,	PUNCT
ap-2813	102	32	rj+1	rj+1	NOUN
ap-2813	102	33	for	for	ADP
ap-2813	102	34	j	j	PROPN
ap-2813	102	35	=	=	SYM
ap-2813	102	36	1	1	NUM
ap-2813	102	37	,	,	PUNCT
ap-2813	102	38	2	2	NUM
ap-2813	102	39	,	,	PUNCT
ap-2813	102	40	.	.	PUNCT
ap-2813	102	41	.	.	PUNCT
ap-2813	102	42	.	.	PUNCT
ap-2813	103	1	nr−1	nr−1	INTJ
ap-2813	103	2	)	)	PUNCT
ap-2813	103	3	.	.	PUNCT
ap-2813	104	1	radial	radial	ADJ
ap-2813	104	2	velocities	velocity	NOUN
ap-2813	104	3	follow	follow	VERB
ap-2813	104	4	from	from	ADP
ap-2813	104	5	the	the	DET
ap-2813	104	6	continuity	continuity	NOUN
ap-2813	104	7	equation	equation	NOUN
ap-2813	104	8	and	and	CCONJ
ap-2813	104	9	the	the	DET
ap-2813	104	10	profiles	profile	NOUN
ap-2813	104	11	of	of	ADP
ap-2813	104	12	structural	structural	ADJ
ap-2813	104	13	parameters	parameter	NOUN
ap-2813	104	14	are	be	AUX
ap-2813	104	15	calculated	calculate	VERB
ap-2813	104	16	from	from	ADP
ap-2813	104	17	discretized	discretized	ADJ
ap-2813	104	18	transport	transport	NOUN
ap-2813	104	19	equation	equation	NOUN
ap-2813	104	20	(	(	PUNCT
ap-2813	104	21	2	2	X
ap-2813	104	22	)	)	PUNCT
ap-2813	104	23	assuming	assume	VERB
ap-2813	104	24	purely	purely	ADV
ap-2813	104	25	convective	convective	ADJ
ap-2813	104	26	transport	transport	NOUN
ap-2813	104	27	(	(	PUNCT
ap-2813	104	28	therefore	therefore	ADV
ap-2813	104	29	dλ	dλ	VERB
ap-2813	104	30	=	=	NOUN
ap-2813	104	31	0	0	NUM
ap-2813	104	32	)	)	PUNCT
ap-2813	104	33	.	.	PUNCT
ap-2813	105	1	more	more	ADJ
ap-2813	105	2	details	detail	NOUN
ap-2813	105	3	of	of	ADP
ap-2813	105	4	this	this	DET
ap-2813	105	5	numerical	numerical	ADJ
ap-2813	105	6	solution	solution	NOUN
ap-2813	105	7	are	be	AUX
ap-2813	105	8	presented	present	VERB
ap-2813	105	9	in	in	ADP
ap-2813	105	10	the	the	DET
ap-2813	105	11	appendix	appendix	NOUN
ap-2813	105	12	.	.	PUNCT
ap-2813	106	1	4	4	X
ap-2813	106	2	.	.	NOUN
ap-2813	106	3	results	result	NOUN
ap-2813	106	4	and	and	CCONJ
ap-2813	106	5	discussion	discussion	NOUN
ap-2813	106	6	the	the	DET
ap-2813	106	7	numerical	numerical	ADJ
ap-2813	106	8	methods	method	NOUN
ap-2813	106	9	described	describe	VERB
ap-2813	106	10	in	in	ADP
ap-2813	106	11	section	section	NOUN
ap-2813	106	12	3	3	NUM
ap-2813	106	13	were	be	AUX
ap-2813	106	14	implemented	implement	VERB
ap-2813	106	15	in	in	ADP
ap-2813	106	16	several	several	ADJ
ap-2813	106	17	matlab	matlab	PROPN
ap-2813	106	18	programs	program	NOUN
ap-2813	106	19	and	and	CCONJ
ap-2813	106	20	tested	test	VERB
ap-2813	106	21	with	with	ADP
ap-2813	106	22	the	the	DET
ap-2813	106	23	goal	goal	NOUN
ap-2813	106	24	of	of	ADP
ap-2813	106	25	evaluating	evaluate	VERB
ap-2813	106	26	the	the	DET
ap-2813	106	27	differences	difference	NOUN
ap-2813	106	28	between	between	ADP
ap-2813	106	29	the	the	DET
ap-2813	106	30	predictions	prediction	NOUN
ap-2813	106	31	made	make	VERB
ap-2813	106	32	using	use	VERB
ap-2813	106	33	the	the	DET
ap-2813	106	34	1d	1d	NUM
ap-2813	106	35	and	and	CCONJ
ap-2813	106	36	2d	2d	NUM
ap-2813	106	37	model	model	NOUN
ap-2813	106	38	.	.	PUNCT
ap-2813	107	1	operational	operational	ADJ
ap-2813	107	2	parameters	parameter	NOUN
ap-2813	107	3	were	be	AUX
ap-2813	107	4	selected	select	VERB
ap-2813	107	5	according	accord	VERB
ap-2813	107	6	to	to	ADP
ap-2813	107	7	the	the	DET
ap-2813	107	8	geometry	geometry	NOUN
ap-2813	107	9	of	of	ADP
ap-2813	107	10	the	the	DET
ap-2813	107	11	test	test	NOUN
ap-2813	107	12	setup	setup	NOUN
ap-2813	107	13	(	(	PUNCT
ap-2813	107	14	pipe	pipe	NOUN
ap-2813	107	15	l	l	NOUN
ap-2813	108	1	=	=	PUNCT
ap-2813	109	1	4.2	4.2	NUM
ap-2813	109	2	m	m	NOUN
ap-2813	109	3	,	,	PUNCT
ap-2813	110	1	r	r	NOUN
ap-2813	110	2	=	=	PUNCT
ap-2813	110	3	0.01	0.01	NUM
ap-2813	110	4	m	m	NOUN
ap-2813	110	5	)	)	PUNCT
ap-2813	110	6	.	.	PUNCT
ap-2813	111	1	the	the	DET
ap-2813	111	2	flow	flow	NOUN
ap-2813	111	3	rate	rate	NOUN
ap-2813	111	4	was	be	AUX
ap-2813	111	5	progressively	progressively	ADV
ap-2813	111	6	increased	increase	VERB
ap-2813	111	7	from	from	ADP
ap-2813	111	8	5×10−7	5×10−7	NUM
ap-2813	111	9	to	to	ADP
ap-2813	111	10	2×	2×	NUM
ap-2813	111	11	10−5	10−5	NUM
ap-2813	112	1	m3	m3	PROPN
ap-2813	113	1	s−1	s−1	PROPN
ap-2813	113	2	and	and	CCONJ
ap-2813	113	3	then	then	ADV
ap-2813	113	4	progressively	progressively	ADV
ap-2813	113	5	decreased	decrease	VERB
ap-2813	113	6	as	as	SCONJ
ap-2813	113	7	shown	show	VERB
ap-2813	113	8	in	in	ADP
ap-2813	113	9	fig	fig	NOUN
ap-2813	113	10	.	.	PUNCT
ap-2813	114	1	2	2	X
ap-2813	114	2	.	.	X
ap-2813	114	3	a	a	DET
ap-2813	114	4	comparison	comparison	NOUN
ap-2813	114	5	of	of	ADP
ap-2813	114	6	the	the	DET
ap-2813	114	7	predicted	predict	VERB
ap-2813	114	8	hydraulic	hydraulic	ADJ
ap-2813	114	9	characteristic	characteristic	NOUN
ap-2813	114	10	using	use	VERB
ap-2813	114	11	the	the	DET
ap-2813	114	12	1d	1d	NUM
ap-2813	114	13	and	and	CCONJ
ap-2813	114	14	2d	2d	NUM
ap-2813	114	15	model	model	NOUN
ap-2813	114	16	for	for	ADP
ap-2813	114	17	selected	select	VERB
ap-2813	114	18	rheological	rheological	ADJ
ap-2813	114	19	parameters	parameter	NOUN
ap-2813	114	20	is	be	AUX
ap-2813	114	21	shown	show	VERB
ap-2813	114	22	in	in	ADP
ap-2813	114	23	fig	fig	NOUN
ap-2813	114	24	.	.	PUNCT
ap-2813	115	1	3	3	X
ap-2813	115	2	.	.	X
ap-2813	116	1	the	the	DET
ap-2813	116	2	1d	1d	NUM
ap-2813	116	3	model	model	NOUN
ap-2813	116	4	,	,	PUNCT
ap-2813	116	5	with	with	ADP
ap-2813	116	6	a	a	DET
ap-2813	116	7	constant	constant	ADJ
ap-2813	116	8	radial	radial	ADJ
ap-2813	116	9	profile	profile	NOUN
ap-2813	116	10	of	of	ADP
ap-2813	116	11	structural	structural	ADJ
ap-2813	116	12	parameter	parameter	NOUN
ap-2813	116	13	,	,	PUNCT
ap-2813	116	14	predicts	predict	VERB
ap-2813	116	15	pressure	pressure	NOUN
ap-2813	116	16	drops	drop	VERB
ap-2813	116	17	approximately	approximately	ADV
ap-2813	116	18	10	10	NUM
ap-2813	116	19	to	to	PART
ap-2813	116	20	20	20	NUM
ap-2813	116	21	%	%	NOUN
ap-2813	116	22	higher	high	ADJ
ap-2813	116	23	than	than	ADP
ap-2813	116	24	the	the	DET
ap-2813	116	25	2d	2d	NUM
ap-2813	116	26	model	model	NOUN
ap-2813	116	27	with	with	ADP
ap-2813	116	28	a	a	DET
ap-2813	116	29	varying	vary	VERB
ap-2813	116	30	radial	radial	ADJ
ap-2813	116	31	profile	profile	NOUN
ap-2813	116	32	of	of	ADP
ap-2813	116	33	structure	structure	NOUN
ap-2813	116	34	.	.	PUNCT
ap-2813	117	1	as	as	SCONJ
ap-2813	117	2	expected	expect	VERB
ap-2813	117	3	,	,	PUNCT
ap-2813	117	4	the	the	DET
ap-2813	117	5	2d	2d	NUM
ap-2813	117	6	model	model	NOUN
ap-2813	117	7	predicts	predict	VERB
ap-2813	117	8	a	a	DET
ap-2813	117	9	more	more	ADV
ap-2813	117	10	intensive	intensive	ADJ
ap-2813	117	11	breakup	breakup	NOUN
ap-2813	117	12	of	of	ADP
ap-2813	117	13	the	the	DET
ap-2813	117	14	thixotropic	thixotropic	NOUN
ap-2813	117	15	structure	structure	NOUN
ap-2813	117	16	;	;	PUNCT
ap-2813	117	17	particularly	particularly	ADV
ap-2813	117	18	in	in	ADP
ap-2813	117	19	the	the	DET
ap-2813	117	20	vicinity	vicinity	NOUN
ap-2813	117	21	of	of	ADP
ap-2813	117	22	the	the	DET
ap-2813	117	23	wall	wall	NOUN
ap-2813	117	24	(	(	PUNCT
ap-2813	117	25	the	the	DET
ap-2813	117	26	uniform	uniform	ADJ
ap-2813	117	27	distribution	distribution	NOUN
ap-2813	117	28	of	of	ADP
ap-2813	117	29	the	the	DET
ap-2813	117	30	structure	structure	NOUN
ap-2813	117	31	decay	decay	NOUN
ap-2813	117	32	obviously	obviously	ADV
ap-2813	117	33	underestimates	underestimate	VERB
ap-2813	117	34	the	the	DET
ap-2813	117	35	significant	significant	ADJ
ap-2813	117	36	effect	effect	NOUN
ap-2813	117	37	of	of	ADP
ap-2813	117	38	the	the	DET
ap-2813	117	39	wall	wall	NOUN
ap-2813	117	40	layer	layer	NOUN
ap-2813	117	41	in	in	ADP
ap-2813	117	42	the	the	DET
ap-2813	117	43	1d	1d	NUM
ap-2813	117	44	model	model	NOUN
ap-2813	117	45	)	)	PUNCT
ap-2813	117	46	.	.	PUNCT
ap-2813	118	1	the	the	DET
ap-2813	118	2	simulations	simulation	NOUN
ap-2813	118	3	were	be	AUX
ap-2813	118	4	carried	carry	VERB
ap-2813	118	5	out	out	ADP
ap-2813	118	6	for	for	ADP
ap-2813	118	7	different	different	ADJ
ap-2813	118	8	meshes	mesh	NOUN
ap-2813	118	9	(	(	PUNCT
ap-2813	118	10	spatial	spatial	ADJ
ap-2813	118	11	discretization	discretization	NOUN
ap-2813	118	12	using	use	VERB
ap-2813	118	13	21	21	NUM
ap-2813	118	14	,	,	PUNCT
ap-2813	118	15	51	51	NUM
ap-2813	118	16	,	,	PUNCT
ap-2813	118	17	101	101	NUM
ap-2813	118	18	,	,	PUNCT
ap-2813	118	19	and	and	CCONJ
ap-2813	118	20	451	451	NUM
ap-2813	118	21	nodes	node	NOUN
ap-2813	118	22	in	in	ADP
ap-2813	118	23	the	the	DET
ap-2813	118	24	axial	axial	ADJ
ap-2813	118	25	direction	direction	NOUN
ap-2813	118	26	,	,	PUNCT
ap-2813	118	27	and	and	CCONJ
ap-2813	118	28	11	11	NUM
ap-2813	118	29	,	,	PUNCT
ap-2813	118	30	21	21	NUM
ap-2813	118	31	,	,	PUNCT
ap-2813	118	32	and	and	CCONJ
ap-2813	118	33	31	31	NUM
ap-2813	118	34	nodes	node	NOUN
ap-2813	118	35	in	in	ADP
ap-2813	118	36	radial	radial	ADJ
ap-2813	118	37	direction	direction	NOUN
ap-2813	118	38	when	when	SCONJ
ap-2813	118	39	testing	test	VERB
ap-2813	118	40	the	the	DET
ap-2813	118	41	2d	2d	NUM
ap-2813	118	42	method	method	NOUN
ap-2813	118	43	)	)	PUNCT
ap-2813	118	44	.	.	PUNCT
ap-2813	119	1	the	the	DET
ap-2813	119	2	times	time	NOUN
ap-2813	119	3	steps	step	NOUN
ap-2813	119	4	were	be	AUX
ap-2813	119	5	fully	fully	ADV
ap-2813	119	6	determined	determine	VERB
ap-2813	119	7	by	by	ADP
ap-2813	119	8	spatial	spatial	ADJ
ap-2813	119	9	steps	step	NOUN
ap-2813	119	10	in	in	ADP
ap-2813	119	11	the	the	DET
ap-2813	119	12	method	method	NOUN
ap-2813	119	13	of	of	ADP
ap-2813	119	14	characteristics	characteristic	NOUN
ap-2813	119	15	(	(	PUNCT
ap-2813	119	16	1d	1d	NUM
ap-2813	119	17	)	)	PUNCT
ap-2813	119	18	,	,	PUNCT
ap-2813	119	19	while	while	SCONJ
ap-2813	119	20	in	in	ADP
ap-2813	119	21	the	the	DET
ap-2813	119	22	2d	2d	NUM
ap-2813	119	23	method	method	NOUN
ap-2813	119	24	,	,	PUNCT
ap-2813	119	25	time	time	NOUN
ap-2813	119	26	steps	step	NOUN
ap-2813	119	27	were	be	AUX
ap-2813	119	28	not	not	PART
ap-2813	119	29	restricted	restrict	VERB
ap-2813	119	30	.	.	PUNCT
ap-2813	120	1	nevertheless	nevertheless	ADV
ap-2813	120	2	,	,	PUNCT
ap-2813	120	3	in	in	ADP
ap-2813	120	4	the	the	DET
ap-2813	120	5	simulations	simulation	NOUN
ap-2813	120	6	the	the	DET
ap-2813	120	7	time	time	NOUN
ap-2813	120	8	steps	step	NOUN
ap-2813	120	9	were	be	AUX
ap-2813	120	10	selected	select	VERB
ap-2813	120	11	to	to	PART
ap-2813	120	12	be	be	AUX
ap-2813	120	13	identical	identical	ADJ
ap-2813	120	14	with	with	ADP
ap-2813	120	15	the	the	DET
ap-2813	120	16	1d	1d	NUM
ap-2813	120	17	method	method	NOUN
ap-2813	120	18	.	.	PUNCT
ap-2813	121	1	tests	test	NOUN
ap-2813	121	2	confirmed	confirm	VERB
ap-2813	121	3	that	that	SCONJ
ap-2813	121	4	both	both	CCONJ
ap-2813	121	5	the	the	DET
ap-2813	121	6	1d	1d	NUM
ap-2813	121	7	and	and	CCONJ
ap-2813	121	8	2d	2d	NOUN
ap-2813	121	9	method	method	NOUN
ap-2813	121	10	were	be	AUX
ap-2813	121	11	stable	stable	ADJ
ap-2813	121	12	and	and	CCONJ
ap-2813	121	13	consistent	consistent	ADJ
ap-2813	121	14	in	in	ADP
ap-2813	121	15	all	all	DET
ap-2813	121	16	tested	test	VERB
ap-2813	121	17	cases	case	NOUN
ap-2813	121	18	.	.	PUNCT
ap-2813	122	1	fig	fig	NOUN
ap-2813	122	2	.	.	PUNCT
ap-2813	123	1	4	4	NUM
ap-2813	123	2	presents	present	VERB
ap-2813	123	3	the	the	DET
ap-2813	123	4	numerical	numerical	ADJ
ap-2813	123	5	prediction	prediction	NOUN
ap-2813	123	6	of	of	ADP
ap-2813	123	7	the	the	DET
ap-2813	123	8	2d	2d	PROPN
ap-2813	123	9	model	model	NOUN
ap-2813	123	10	and	and	CCONJ
ap-2813	123	11	the	the	DET
ap-2813	123	12	data	datum	NOUN
ap-2813	123	13	obtained	obtain	VERB
ap-2813	123	14	experimentally	experimentally	ADV
ap-2813	123	15	with	with	ADP
ap-2813	123	16	the	the	DET
ap-2813	123	17	collagen	collagen	NOUN
ap-2813	123	18	material	material	NOUN
ap-2813	123	19	used	use	VERB
ap-2813	123	20	in	in	ADP
ap-2813	123	21	the	the	DET
ap-2813	123	22	experimental	experimental	ADJ
ap-2813	123	23	setup	setup	NOUN
ap-2813	123	24	described	describe	VERB
ap-2813	123	25	in	in	ADP
ap-2813	123	26	paragraph	paragraph	NOUN
ap-2813	123	27	3.1	3.1	NUM
ap-2813	123	28	.	.	PUNCT
ap-2813	124	1	the	the	DET
ap-2813	124	2	volumetric	volumetric	NOUN
ap-2813	124	3	flow	flow	NOUN
ap-2813	124	4	rate	rate	NOUN
ap-2813	124	5	was	be	AUX
ap-2813	124	6	gradually	gradually	ADV
ap-2813	124	7	increased	increase	VERB
ap-2813	124	8	from	from	ADP
ap-2813	124	9	7×	7×	NUM
ap-2813	124	10	10−7	10−7	NUM
ap-2813	124	11	m3	m3	PROPN
ap-2813	124	12	s−1	s−1	PROPN
ap-2813	124	13	to	to	ADP
ap-2813	124	14	5.1×	5.1×	NUM
ap-2813	124	15	10−5	10−5	NUM
ap-2813	124	16	m3	m3	PROPN
ap-2813	124	17	s−1	s−1	PROPN
ap-2813	124	18	.	.	PUNCT
ap-2813	125	1	the	the	DET
ap-2813	125	2	rate	rate	NOUN
ap-2813	125	3	of	of	ADP
ap-2813	125	4	volumetric	volumetric	NOUN
ap-2813	125	5	change	change	NOUN
ap-2813	125	6	was	be	AUX
ap-2813	125	7	much	much	ADV
ap-2813	125	8	slower	slow	ADJ
ap-2813	125	9	than	than	ADP
ap-2813	125	10	in	in	ADP
ap-2813	125	11	previous	previous	ADJ
ap-2813	125	12	tests	test	NOUN
ap-2813	125	13	(	(	PUNCT
ap-2813	125	14	more	more	ADJ
ap-2813	125	15	than	than	ADP
ap-2813	125	16	20	20	NUM
ap-2813	125	17	minutes	minute	NOUN
ap-2813	125	18	up	up	ADV
ap-2813	125	19	and	and	CCONJ
ap-2813	125	20	20	20	NUM
ap-2813	125	21	minutes	minute	NOUN
ap-2813	125	22	down	down	ADV
ap-2813	125	23	)	)	PUNCT
ap-2813	125	24	.	.	PUNCT
ap-2813	126	1	such	such	DET
ap-2813	126	2	a	a	DET
ap-2813	126	3	slow	slow	ADJ
ap-2813	126	4	variation	variation	NOUN
ap-2813	126	5	of	of	ADP
ap-2813	126	6	flow	flow	NOUN
ap-2813	126	7	rate	rate	NOUN
ap-2813	126	8	increases	increase	VERB
ap-2813	126	9	the	the	DET
ap-2813	126	10	number	number	NOUN
ap-2813	126	11	of	of	ADP
ap-2813	126	12	time	time	NOUN
ap-2813	126	13	steps	step	NOUN
ap-2813	126	14	(	(	PUNCT
ap-2813	126	15	4100	4100	NUM
ap-2813	126	16	time	time	NOUN
ap-2813	126	17	steps	step	NOUN
ap-2813	126	18	for	for	ADP
ap-2813	126	19	151	151	NUM
ap-2813	126	20	grid	grid	NOUN
ap-2813	126	21	points	point	NOUN
ap-2813	126	22	in	in	ADP
ap-2813	126	23	the	the	DET
ap-2813	126	24	axial	axial	ADJ
ap-2813	126	25	direction	direction	NOUN
ap-2813	126	26	)	)	PUNCT
ap-2813	126	27	and	and	CCONJ
ap-2813	126	28	increases	increase	VERB
ap-2813	126	29	the	the	DET
ap-2813	126	30	run	run	NOUN
ap-2813	126	31	-	-	PUNCT
ap-2813	126	32	time	time	NOUN
ap-2813	126	33	necessary	necessary	ADJ
ap-2813	126	34	for	for	ADP
ap-2813	126	35	preliminary	preliminary	ADJ
ap-2813	126	36	identification	identification	NOUN
ap-2813	126	37	of	of	ADP
ap-2813	126	38	thixotropic	thixotropic	ADJ
ap-2813	126	39	model	model	NOUN
ap-2813	126	40	parameters	parameter	NOUN
ap-2813	126	41	.	.	PUNCT
ap-2813	127	1	the	the	DET
ap-2813	127	2	parameters	parameter	NOUN
ap-2813	127	3	(	(	PUNCT
ap-2813	127	4	a	a	PRON
ap-2813	127	5	,	,	PUNCT
ap-2813	127	6	b	b	NOUN
ap-2813	127	7	,	,	PUNCT
ap-2813	127	8	n	n	CCONJ
ap-2813	127	9	,	,	PUNCT
ap-2813	127	10	m	m	PROPN
ap-2813	127	11	,	,	PUNCT
ap-2813	127	12	k	k	PROPN
ap-2813	127	13	,	,	PUNCT
ap-2813	127	14	∆k	∆k	PROPN
ap-2813	127	15	,	,	PUNCT
ap-2813	127	16	τy	τy	X
ap-2813	127	17	,	,	PUNCT
ap-2813	127	18	∆τy	∆τy	NUM
ap-2813	127	19	)	)	PUNCT
ap-2813	127	20	were	be	AUX
ap-2813	127	21	identified	identify	VERB
ap-2813	127	22	(	(	PUNCT
ap-2813	127	23	approximately	approximately	ADV
ap-2813	127	24	)	)	PUNCT
ap-2813	127	25	by	by	ADP
ap-2813	127	26	linear	linear	ADJ
ap-2813	127	27	search	search	NOUN
ap-2813	127	28	using	use	VERB
ap-2813	127	29	the	the	DET
ap-2813	127	30	least	least	ADJ
ap-2813	127	31	square	square	ADJ
ap-2813	127	32	criterion	criterion	NOUN
ap-2813	127	33	(	(	PUNCT
ap-2813	127	34	the	the	DET
ap-2813	127	35	sum	sum	NOUN
ap-2813	127	36	of	of	ADP
ap-2813	127	37	the	the	DET
ap-2813	127	38	squares	square	NOUN
ap-2813	127	39	of	of	ADP
ap-2813	127	40	the	the	DET
ap-2813	127	41	deviations	deviation	NOUN
ap-2813	127	42	between	between	ADP
ap-2813	127	43	measured	measure	VERB
ap-2813	127	44	and	and	CCONJ
ap-2813	127	45	predicted	predict	VERB
ap-2813	127	46	pressures	pressure	NOUN
ap-2813	127	47	during	during	ADP
ap-2813	127	48	up	up	ADP
ap-2813	127	49	and	and	CCONJ
ap-2813	127	50	down	down	ADP
ap-2813	127	51	phases	phase	NOUN
ap-2813	127	52	)	)	PUNCT
ap-2813	127	53	.	.	PUNCT
ap-2813	128	1	it	it	PRON
ap-2813	128	2	is	be	AUX
ap-2813	128	3	obvious	obvious	ADJ
ap-2813	128	4	that	that	SCONJ
ap-2813	128	5	the	the	DET
ap-2813	128	6	models	model	NOUN
ap-2813	128	7	of	of	ADP
ap-2813	128	8	thixotropy	thixotropy	NOUN
ap-2813	128	9	(	(	PUNCT
ap-2813	128	10	regardless	regardless	ADV
ap-2813	128	11	of	of	ADP
ap-2813	128	12	whether	whether	SCONJ
ap-2813	128	13	it	it	PRON
ap-2813	128	14	was	be	AUX
ap-2813	128	15	the	the	DET
ap-2813	128	16	1d	1d	NUM
ap-2813	128	17	or	or	CCONJ
ap-2813	128	18	2d	2d	NUM
ap-2813	128	19	model	model	NOUN
ap-2813	128	20	)	)	PUNCT
ap-2813	128	21	were	be	AUX
ap-2813	128	22	not	not	PART
ap-2813	128	23	able	able	ADJ
ap-2813	128	24	to	to	PART
ap-2813	128	25	describe	describe	VERB
ap-2813	128	26	the	the	DET
ap-2813	128	27	hysteresis	hysteresis	NOUN
ap-2813	128	28	355	355	NUM
ap-2813	128	29	r.	r.	PROPN
ap-2813	128	30	zitny	zitny	PROPN
ap-2813	128	31	,	,	PUNCT
ap-2813	128	32	a.	a.	NOUN
ap-2813	128	33	landfeld	landfeld	PROPN
ap-2813	128	34	,	,	PUNCT
ap-2813	128	35	j.	j.	PROPN
ap-2813	128	36	skocilas	skocilas	PROPN
ap-2813	128	37	et	et	PROPN
ap-2813	128	38	al	al	PROPN
ap-2813	128	39	.	.	PROPN
ap-2813	129	1	acta	acta	PROPN
ap-2813	129	2	polytechnica	polytechnica	PROPN
ap-2813	129	3	figure	figure	NOUN
ap-2813	129	4	4	4	NUM
ap-2813	129	5	.	.	PUNCT
ap-2813	129	6	hydraulic	hydraulic	ADJ
ap-2813	129	7	characteristic	characteristic	NOUN
ap-2813	129	8	of	of	ADP
ap-2813	129	9	collagen	collagen	NOUN
ap-2813	129	10	(	(	PUNCT
ap-2813	129	11	2d	2d	NUM
ap-2813	129	12	model	model	NOUN
ap-2813	129	13	)	)	PUNCT
ap-2813	129	14	.	.	PUNCT
ap-2813	130	1	upward	upward	ADJ
ap-2813	130	2	pointing	pointing	NOUN
ap-2813	130	3	triangles	triangle	NOUN
ap-2813	130	4	represent	represent	VERB
ap-2813	130	5	increasing	increase	VERB
ap-2813	130	6	flow	flow	NOUN
ap-2813	130	7	rate	rate	NOUN
ap-2813	130	8	;	;	PUNCT
ap-2813	130	9	while	while	SCONJ
ap-2813	130	10	diamonds	diamond	NOUN
ap-2813	130	11	represent	represent	VERB
ap-2813	130	12	decreasing	decrease	VERB
ap-2813	130	13	flowrate	flowrate	ADJ
ap-2813	130	14	.	.	PUNCT
ap-2813	131	1	continuous	continuous	ADJ
ap-2813	131	2	line	line	NOUN
ap-2813	131	3	integral	integral	ADJ
ap-2813	131	4	model	model	NOUN
ap-2813	131	5	for	for	ADP
ap-2813	131	6	k	k	PROPN
ap-2813	131	7	=	=	SYM
ap-2813	131	8	150pa	150pa	PROPN
ap-2813	131	9	sn	sn	PROPN
ap-2813	131	10	,	,	PUNCT
ap-2813	131	11	∆k=350pa	∆k=350pa	PROPN
ap-2813	131	12	sn	sn	PROPN
ap-2813	131	13	,	,	PUNCT
ap-2813	131	14	τy	τy	ADV
ap-2813	132	1	=	=	SYM
ap-2813	132	2	1350pa	1350pa	PROPN
ap-2813	132	3	,	,	PUNCT
ap-2813	132	4	∆τy	∆τy	X
ap-2813	132	5	=	=	SYM
ap-2813	132	6	250pa	250pa	PROPN
ap-2813	132	7	,	,	PUNCT
ap-2813	132	8	n	n	PROPN
ap-2813	132	9	=	=	SYM
ap-2813	132	10	0.35	0.35	NUM
ap-2813	132	11	,	,	PUNCT
ap-2813	132	12	a	a	DET
ap-2813	132	13	=	=	NOUN
ap-2813	132	14	0.002	0.002	NUM
ap-2813	132	15	s−1	s−1	PROPN
ap-2813	132	16	,	,	PUNCT
ap-2813	132	17	b	b	NOUN
ap-2813	132	18	=	=	SYM
ap-2813	132	19	0.004	0.004	NUM
ap-2813	132	20	sm−1	sm−1	NOUN
ap-2813	132	21	,	,	PUNCT
ap-2813	132	22	m	m	VERB
ap-2813	132	23	=	=	NOUN
ap-2813	132	24	1	1	NUM
ap-2813	132	25	,	,	PUNCT
ap-2813	132	26	r	r	NOUN
ap-2813	132	27	=	=	PUNCT
ap-2813	132	28	0.01	0.01	NUM
ap-2813	132	29	m	m	NOUN
ap-2813	132	30	,	,	PUNCT
ap-2813	132	31	l	l	NOUN
ap-2813	132	32	=	=	PUNCT
ap-2813	132	33	4.2	4.2	NUM
ap-2813	132	34	m	m	NOUN
ap-2813	132	35	,	,	PUNCT
ap-2813	132	36	time	time	NOUN
ap-2813	132	37	up	up	ADP
ap-2813	132	38	:	:	PUNCT
ap-2813	132	39	1200	1200	NUM
ap-2813	132	40	s.	s.	PROPN
ap-2813	132	41	at	at	ADP
ap-2813	132	42	high	high	ADJ
ap-2813	132	43	flow	flow	NOUN
ap-2813	132	44	rates	rate	NOUN
ap-2813	132	45	,	,	PUNCT
ap-2813	132	46	a	a	DET
ap-2813	132	47	trend	trend	NOUN
ap-2813	132	48	that	that	PRON
ap-2813	132	49	was	be	AUX
ap-2813	132	50	also	also	ADV
ap-2813	132	51	observed	observe	VERB
ap-2813	132	52	in	in	ADP
ap-2813	132	53	previous	previous	ADJ
ap-2813	132	54	simulations	simulation	NOUN
ap-2813	132	55	(	(	PUNCT
ap-2813	132	56	fig	fig	NOUN
ap-2813	132	57	.	.	PUNCT
ap-2813	133	1	3	3	NUM
ap-2813	133	2	)	)	PUNCT
ap-2813	133	3	.	.	PUNCT
ap-2813	134	1	the	the	DET
ap-2813	134	2	fact	fact	NOUN
ap-2813	134	3	that	that	SCONJ
ap-2813	134	4	the	the	DET
ap-2813	134	5	hydraulic	hydraulic	ADJ
ap-2813	134	6	hysteresis	hysteresis	NOUN
ap-2813	134	7	of	of	ADP
ap-2813	134	8	thixotropic	thixotropic	NOUN
ap-2813	134	9	liquid	liquid	NOUN
ap-2813	134	10	is	be	AUX
ap-2813	134	11	significant	significant	ADJ
ap-2813	134	12	only	only	ADV
ap-2813	134	13	at	at	ADP
ap-2813	134	14	low	low	ADJ
ap-2813	134	15	flow	flow	NOUN
ap-2813	134	16	rates	rate	NOUN
ap-2813	134	17	is	be	AUX
ap-2813	134	18	closely	closely	ADV
ap-2813	134	19	related	relate	VERB
ap-2813	134	20	to	to	ADP
ap-2813	134	21	the	the	DET
ap-2813	134	22	residence	residence	NOUN
ap-2813	134	23	time	time	NOUN
ap-2813	134	24	trtd	trtd	NOUN
ap-2813	134	25	=	=	SYM
ap-2813	134	26	l	l	NOUN
ap-2813	134	27	/	/	SYM
ap-2813	134	28	ū	ū	NOUN
ap-2813	134	29	of	of	ADP
ap-2813	134	30	fluid	fluid	ADJ
ap-2813	134	31	particles	particle	NOUN
ap-2813	134	32	.	.	PUNCT
ap-2813	135	1	the	the	DET
ap-2813	135	2	relative	relative	ADJ
ap-2813	135	3	change	change	NOUN
ap-2813	135	4	of	of	ADP
ap-2813	135	5	structural	structural	ADJ
ap-2813	135	6	parameter	parameter	NOUN
ap-2813	135	7	(	(	PUNCT
ap-2813	135	8	and	and	CCONJ
ap-2813	135	9	hysteresis	hysteresis	NOUN
ap-2813	135	10	)	)	PUNCT
ap-2813	135	11	can	can	AUX
ap-2813	135	12	be	be	AUX
ap-2813	135	13	quantified	quantify	VERB
ap-2813	135	14	as	as	ADP
ap-2813	135	15	∆λ	∆λ	PROPN
ap-2813	135	16	λ	λ	NOUN
ap-2813	135	17	=	=	SYM
ap-2813	135	18	1	1	NUM
ap-2813	135	19	λ	λ	PROPN
ap-2813	135	20	∂λ	∂λ	PROPN
ap-2813	135	21	∂v̇	∂v̇	PROPN
ap-2813	135	22	v̇max	v̇max	ADP
ap-2813	135	23	−	−	PROPN
ap-2813	135	24	v̇min	v̇min	PUNCT
ap-2813	135	25	∆tup	∆tup	NUM
ap-2813	135	26	trtd	trtd	NOUN
ap-2813	135	27	.	.	PUNCT
ap-2813	136	1	(	(	PUNCT
ap-2813	136	2	10	10	NUM
ap-2813	136	3	)	)	PUNCT
ap-2813	136	4	for	for	ADP
ap-2813	136	5	the	the	DET
ap-2813	136	6	analyzed	analyze	VERB
ap-2813	136	7	case	case	NOUN
ap-2813	136	8	(	(	PUNCT
ap-2813	136	9	and	and	CCONJ
ap-2813	136	10	for	for	ADP
ap-2813	136	11	the	the	DET
ap-2813	136	12	model	model	NOUN
ap-2813	136	13	parameters	parameter	NOUN
ap-2813	136	14	shown	show	VERB
ap-2813	136	15	in	in	ADP
ap-2813	136	16	fig	fig	NOUN
ap-2813	136	17	.	.	PUNCT
ap-2813	137	1	4	4	NUM
ap-2813	137	2	)	)	PUNCT
ap-2813	137	3	the	the	DET
ap-2813	137	4	∆λ	∆λ	PROPN
ap-2813	137	5	/	/	SYM
ap-2813	137	6	λ	λ	PROPN
ap-2813	137	7	ratio	ratio	NOUN
ap-2813	137	8	≈	≈	PROPN
ap-2813	137	9	100	100	NUM
ap-2813	137	10	at	at	ADP
ap-2813	137	11	the	the	DET
ap-2813	137	12	minimum	minimum	ADJ
ap-2813	137	13	flow	flow	NOUN
ap-2813	137	14	rate	rate	NOUN
ap-2813	137	15	,	,	PUNCT
ap-2813	137	16	and	and	CCONJ
ap-2813	137	17	only	only	ADV
ap-2813	137	18	≈	≈	PROPN
ap-2813	137	19	0.01	0.01	NUM
ap-2813	137	20	at	at	ADP
ap-2813	137	21	the	the	DET
ap-2813	137	22	maximum	maximum	ADJ
ap-2813	137	23	flow	flow	NOUN
ap-2813	137	24	rate	rate	NOUN
ap-2813	137	25	.	.	PUNCT
ap-2813	138	1	5	5	X
ap-2813	138	2	.	.	X
ap-2813	138	3	conclusions	conclusion	NOUN
ap-2813	138	4	the	the	DET
ap-2813	138	5	1d	1d	NUM
ap-2813	138	6	method	method	NOUN
ap-2813	138	7	of	of	ADP
ap-2813	138	8	characteristic	characteristic	ADJ
ap-2813	138	9	and	and	CCONJ
ap-2813	138	10	the	the	DET
ap-2813	138	11	2d	2d	NOUN
ap-2813	138	12	finite	finite	NOUN
ap-2813	138	13	differences	difference	NOUN
ap-2813	138	14	method	method	NOUN
ap-2813	138	15	were	be	AUX
ap-2813	138	16	designed	design	VERB
ap-2813	138	17	to	to	PART
ap-2813	138	18	simulate	simulate	VERB
ap-2813	138	19	transient	transient	ADJ
ap-2813	138	20	flow	flow	NOUN
ap-2813	138	21	of	of	ADP
ap-2813	138	22	thixotropic	thixotropic	ADJ
ap-2813	138	23	incompressible	incompressible	ADJ
ap-2813	138	24	liquids	liquid	NOUN
ap-2813	138	25	in	in	ADP
ap-2813	138	26	pipes	pipe	NOUN
ap-2813	138	27	using	use	VERB
ap-2813	138	28	houska	houska	NOUN
ap-2813	138	29	’s	’s	PART
ap-2813	138	30	model	model	NOUN
ap-2813	138	31	with	with	ADP
ap-2813	138	32	variable	variable	ADJ
ap-2813	138	33	yield	yield	NOUN
ap-2813	138	34	stress	stress	NOUN
ap-2813	138	35	.	.	PUNCT
ap-2813	139	1	the	the	DET
ap-2813	139	2	1d	1d	NUM
ap-2813	139	3	model	model	NOUN
ap-2813	139	4	assumes	assume	VERB
ap-2813	139	5	that	that	SCONJ
ap-2813	139	6	the	the	DET
ap-2813	139	7	radial	radial	ADJ
ap-2813	139	8	diffusion	diffusion	NOUN
ap-2813	139	9	mitigates	mitigate	VERB
ap-2813	139	10	non	non	NOUN
ap-2813	139	11	-	-	NOUN
ap-2813	139	12	uniformities	uniformity	NOUN
ap-2813	139	13	and	and	CCONJ
ap-2813	139	14	large	large	ADJ
ap-2813	139	15	gradients	gradient	NOUN
ap-2813	139	16	of	of	ADP
ap-2813	139	17	structural	structural	ADJ
ap-2813	139	18	parameter	parameter	NOUN
ap-2813	139	19	at	at	ADP
ap-2813	139	20	the	the	DET
ap-2813	139	21	wall	wall	NOUN
ap-2813	139	22	.	.	PUNCT
ap-2813	140	1	the	the	DET
ap-2813	140	2	2d	2d	PROPN
ap-2813	140	3	model	model	NOUN
ap-2813	140	4	assumes	assume	VERB
ap-2813	140	5	only	only	ADV
ap-2813	140	6	convective	convective	ADJ
ap-2813	140	7	transport	transport	NOUN
ap-2813	140	8	of	of	ADP
ap-2813	140	9	structure	structure	NOUN
ap-2813	140	10	and	and	CCONJ
ap-2813	140	11	predicts	predict	VERB
ap-2813	140	12	large	large	ADJ
ap-2813	140	13	changes	change	NOUN
ap-2813	140	14	of	of	ADP
ap-2813	140	15	structure	structure	NOUN
ap-2813	140	16	at	at	ADP
ap-2813	140	17	the	the	DET
ap-2813	140	18	wall	wall	NOUN
ap-2813	140	19	where	where	SCONJ
ap-2813	140	20	local	local	ADJ
ap-2813	140	21	residence	residence	NOUN
ap-2813	140	22	times	time	NOUN
ap-2813	140	23	go	go	VERB
ap-2813	140	24	up	up	ADP
ap-2813	140	25	to	to	ADP
ap-2813	140	26	infinity	infinity	NOUN
ap-2813	140	27	.	.	PUNCT
ap-2813	141	1	the	the	DET
ap-2813	141	2	two	two	NUM
ap-2813	141	3	suggested	suggest	VERB
ap-2813	141	4	methods	method	NOUN
ap-2813	141	5	represent	represent	VERB
ap-2813	141	6	,	,	PUNCT
ap-2813	141	7	in	in	ADP
ap-2813	141	8	fact	fact	NOUN
ap-2813	141	9	,	,	PUNCT
ap-2813	141	10	the	the	DET
ap-2813	141	11	lower	low	ADJ
ap-2813	141	12	and	and	CCONJ
ap-2813	141	13	upper	upper	ADJ
ap-2813	141	14	bound	bind	VERB
ap-2813	141	15	of	of	ADP
ap-2813	141	16	the	the	DET
ap-2813	141	17	pressure	pressure	NOUN
ap-2813	141	18	drop	drop	NOUN
ap-2813	141	19	(	(	PUNCT
ap-2813	141	20	the	the	DET
ap-2813	141	21	1d	1d	NUM
ap-2813	141	22	method	method	NOUN
ap-2813	141	23	underpredicts	underpredict	NOUN
ap-2813	141	24	and	and	CCONJ
ap-2813	141	25	the	the	DET
ap-2813	141	26	2d	2d	NUM
ap-2813	141	27	method	method	NOUN
ap-2813	141	28	overpredicts	overpredict	VERB
ap-2813	141	29	the	the	DET
ap-2813	141	30	effect	effect	NOUN
ap-2813	141	31	of	of	ADP
ap-2813	141	32	thixotropic	thixotropic	NOUN
ap-2813	141	33	structure	structure	NOUN
ap-2813	141	34	decay	decay	NOUN
ap-2813	141	35	)	)	PUNCT
ap-2813	141	36	.	.	PUNCT
ap-2813	142	1	the	the	DET
ap-2813	142	2	developed	develop	VERB
ap-2813	142	3	models	model	NOUN
ap-2813	142	4	were	be	AUX
ap-2813	142	5	used	use	VERB
ap-2813	142	6	to	to	PART
ap-2813	142	7	evaluate	evaluate	VERB
ap-2813	142	8	rheological	rheological	ADJ
ap-2813	142	9	properties	property	NOUN
ap-2813	142	10	of	of	ADP
ap-2813	142	11	bovine	bovine	ADJ
ap-2813	142	12	collagenous	collagenous	ADJ
ap-2813	142	13	matter	matter	NOUN
ap-2813	142	14	.	.	PUNCT
ap-2813	143	1	we	we	PRON
ap-2813	143	2	observed	observe	VERB
ap-2813	143	3	a	a	DET
ap-2813	143	4	phenomenon	phenomenon	NOUN
ap-2813	143	5	resembling	resemble	VERB
ap-2813	143	6	hydraulic	hydraulic	ADJ
ap-2813	143	7	hysteresis	hysteresis	NOUN
ap-2813	143	8	in	in	ADP
ap-2813	143	9	a	a	DET
ap-2813	143	10	production	production	NOUN
ap-2813	143	11	line	line	NOUN
ap-2813	143	12	facility	facility	NOUN
ap-2813	143	13	and	and	CCONJ
ap-2813	143	14	this	this	DET
ap-2813	143	15	paper	paper	NOUN
ap-2813	143	16	is	be	AUX
ap-2813	143	17	an	an	DET
ap-2813	143	18	attempt	attempt	NOUN
ap-2813	143	19	to	to	PART
ap-2813	143	20	explain	explain	VERB
ap-2813	143	21	this	this	DET
ap-2813	143	22	behaviour	behaviour	NOUN
ap-2813	143	23	by	by	ADP
ap-2813	143	24	thixotropy	thixotropy	NOUN
ap-2813	143	25	.	.	PUNCT
ap-2813	144	1	however	however	ADV
ap-2813	144	2	,	,	PUNCT
ap-2813	144	3	the	the	DET
ap-2813	144	4	hysteresis	hysteresis	NOUN
ap-2813	144	5	can	can	AUX
ap-2813	144	6	only	only	ADV
ap-2813	144	7	be	be	AUX
ap-2813	144	8	explained	explain	VERB
ap-2813	144	9	by	by	ADP
ap-2813	144	10	thixotropy	thixotropy	NOUN
ap-2813	144	11	at	at	ADP
ap-2813	144	12	low	low	ADJ
ap-2813	144	13	flow	flow	NOUN
ap-2813	144	14	rates	rate	NOUN
ap-2813	144	15	and	and	CCONJ
ap-2813	144	16	the	the	DET
ap-2813	144	17	hysteresis	hysteresis	NOUN
ap-2813	144	18	observed	observe	VERB
ap-2813	144	19	at	at	ADP
ap-2813	144	20	high	high	ADJ
ap-2813	144	21	flow	flow	NOUN
ap-2813	144	22	rates	rate	NOUN
ap-2813	144	23	would	would	AUX
ap-2813	144	24	need	need	VERB
ap-2813	144	25	a	a	DET
ap-2813	144	26	different	different	ADJ
ap-2813	144	27	explanation	explanation	NOUN
ap-2813	144	28	.	.	PUNCT
ap-2813	145	1	6	6	X
ap-2813	145	2	.	.	X
ap-2813	145	3	appendix	appendix	ADJ
ap-2813	145	4	axial	axial	ADJ
ap-2813	145	5	velocities	velocity	NOUN
ap-2813	145	6	uij	uij	PRON
ap-2813	145	7	,	,	PUNCT
ap-2813	145	8	radial	radial	ADJ
ap-2813	145	9	velocities	velocity	NOUN
ap-2813	145	10	vij	vij	NOUN
ap-2813	145	11	and	and	CCONJ
ap-2813	145	12	structural	structural	ADJ
ap-2813	145	13	parameter	parameter	NOUN
ap-2813	145	14	λij	λij	NOUN
ap-2813	145	15	are	be	AUX
ap-2813	145	16	calculated	calculate	VERB
ap-2813	145	17	in	in	ADP
ap-2813	145	18	each	each	DET
ap-2813	145	19	time	time	NOUN
ap-2813	145	20	step	step	NOUN
ap-2813	145	21	in	in	ADP
ap-2813	145	22	nodes	node	NOUN
ap-2813	145	23	of	of	ADP
ap-2813	145	24	2d	2d	NUM
ap-2813	145	25	rectangular	rectangular	ADJ
ap-2813	145	26	mesh	mesh	NOUN
ap-2813	145	27	(	(	PUNCT
ap-2813	145	28	i	i	NOUN
ap-2813	145	29	=	=	NOUN
ap-2813	145	30	index	index	NOUN
ap-2813	145	31	in	in	ADP
ap-2813	145	32	the	the	DET
ap-2813	145	33	axial	axial	NOUN
ap-2813	145	34	,	,	PUNCT
ap-2813	145	35	j	j	PROPN
ap-2813	145	36	in	in	ADP
ap-2813	145	37	the	the	DET
ap-2813	145	38	radial	radial	ADJ
ap-2813	145	39	direction	direction	NOUN
ap-2813	145	40	)	)	PUNCT
ap-2813	145	41	.	.	PUNCT
ap-2813	146	1	the	the	DET
ap-2813	146	2	radial	radial	ADJ
ap-2813	146	3	profiles	profile	NOUN
ap-2813	146	4	of	of	ADP
ap-2813	146	5	axial	axial	ADJ
ap-2813	146	6	velocities	velocity	NOUN
ap-2813	146	7	are	be	AUX
ap-2813	146	8	evaluated	evaluate	VERB
ap-2813	146	9	from	from	ADP
ap-2813	146	10	the	the	DET
ap-2813	146	11	axial	axial	ADJ
ap-2813	146	12	momentum	momentum	NOUN
ap-2813	146	13	balance	balance	NOUN
ap-2813	146	14	(	(	PUNCT
ap-2813	146	15	assuming	assume	VERB
ap-2813	146	16	a	a	DET
ap-2813	146	17	linear	linear	ADJ
ap-2813	146	18	radial	radial	ADJ
ap-2813	146	19	shear	shear	NOUN
ap-2813	146	20	stress	stress	NOUN
ap-2813	146	21	profile	profile	NOUN
ap-2813	146	22	and	and	CCONJ
ap-2813	146	23	a	a	DET
ap-2813	146	24	constant	constant	ADJ
ap-2813	146	25	value	value	NOUN
ap-2813	146	26	of	of	ADP
ap-2813	146	27	structural	structural	ADJ
ap-2813	146	28	parameter	parameter	NOUN
ap-2813	146	29	in	in	ADP
ap-2813	146	30	the	the	DET
ap-2813	146	31	annular	annular	ADJ
ap-2813	146	32	sections	section	NOUN
ap-2813	146	33	rj	rj	PROPN
ap-2813	146	34	,	,	PUNCT
ap-2813	146	35	rj+1	rj+1	NOUN
ap-2813	146	36	for	for	ADP
ap-2813	146	37	j	j	PROPN
ap-2813	146	38	=	=	SYM
ap-2813	146	39	1	1	NUM
ap-2813	146	40	,	,	PUNCT
ap-2813	146	41	2	2	NUM
ap-2813	146	42	,	,	PUNCT
ap-2813	146	43	.	.	PUNCT
ap-2813	146	44	.	.	PUNCT
ap-2813	146	45	.	.	PUNCT
ap-2813	147	1	nr−1	nr−1	ADJ
ap-2813	147	2	)	)	PUNCT
ap-2813	147	3	,	,	PUNCT
ap-2813	147	4	τw(t	τw(t	PUNCT
ap-2813	147	5	,	,	PUNCT
ap-2813	147	6	xi	xi	ADJ
ap-2813	147	7	)	)	PUNCT
ap-2813	147	8	r	r	NOUN
ap-2813	147	9	r	r	NOUN
ap-2813	147	10	=	=	PUNCT
ap-2813	147	11	τy	τy	NOUN
ap-2813	148	1	+	+	NUM
ap-2813	148	2	∆τy	∆τy	X
ap-2813	149	1	λij	λij	X
ap-2813	149	2	+	+	CCONJ
ap-2813	149	3	λij+1	λij+1	NOUN
ap-2813	149	4	2︸	2︸	NUM
ap-2813	149	5	︷︷	︷︷	PROPN
ap-2813	149	6	︸	︸	X
ap-2813	150	1	τ	τ	PROPN
ap-2813	150	2	?	?	PUNCT
ap-2813	151	1	y	y	PROPN
ap-2813	151	2	+	+	CCONJ
ap-2813	152	1	(	(	PUNCT
ap-2813	152	2	k	k	X
ap-2813	152	3	+	+	CCONJ
ap-2813	152	4	∆kλij	∆kλij	PROPN
ap-2813	152	5	+	+	CCONJ
ap-2813	152	6	λij+1	λij+1	NOUN
ap-2813	152	7	2	2	NUM
ap-2813	152	8	)	)	PUNCT
ap-2813	152	9	︸	︸	X
ap-2813	152	10	︷︷	︷︷	PROPN
ap-2813	152	11	︸	︸	X
ap-2813	153	1	k	k	NOUN
ap-2813	153	2	?	?	PUNCT
ap-2813	154	1	(	(	PUNCT
ap-2813	154	2	−∂u	−∂u	NUM
ap-2813	154	3	∂r	∂r	PROPN
ap-2813	154	4	)	)	PUNCT
ap-2813	154	5	n	n	CCONJ
ap-2813	154	6	,	,	PUNCT
ap-2813	154	7	(	(	PUNCT
ap-2813	154	8	11	11	X
ap-2813	154	9	)	)	PUNCT
ap-2813	154	10	giving	give	VERB
ap-2813	154	11	u(t	u(t	NOUN
ap-2813	154	12	,	,	PUNCT
ap-2813	154	13	xi	xi	PROPN
ap-2813	154	14	,	,	PUNCT
ap-2813	154	15	rj	rj	PROPN
ap-2813	154	16	)	)	PUNCT
ap-2813	154	17	=	=	SYM
ap-2813	154	18	u(t	u(t	NOUN
ap-2813	154	19	,	,	PUNCT
ap-2813	154	20	xi	xi	NOUN
ap-2813	154	21	,	,	PUNCT
ap-2813	154	22	rj+1	rj+1	NOUN
ap-2813	154	23	)	)	PUNCT
ap-2813	154	24	+	+	NUM
ap-2813	154	25	rn	rn	PROPN
ap-2813	154	26	τwk	τwk	PROPN
ap-2813	154	27	?	?	PROPN
ap-2813	154	28	1	1	NUM
ap-2813	154	29	n	n	PROPN
ap-2813	154	30	(	(	PUNCT
ap-2813	154	31	n+	n+	NOUN
ap-2813	154	32	1	1	NUM
ap-2813	154	33	)	)	PUNCT
ap-2813	154	34	(	(	PUNCT
ap-2813	154	35	(	(	PUNCT
ap-2813	154	36	τw	τw	PUNCT
ap-2813	154	37	rj+1	rj+1	PRON
ap-2813	154	38	r	r	NOUN
ap-2813	154	39	−	−	PROPN
ap-2813	154	40	τ?y	τ?y	PROPN
ap-2813	154	41	)	)	PUNCT
ap-2813	154	42	n+1	n+1	PROPN
ap-2813	154	43	n	n	PRON
ap-2813	154	44	−	−	PROPN
ap-2813	154	45	(	(	PUNCT
ap-2813	154	46	τw	τw	INTJ
ap-2813	154	47	rj	rj	PROPN
ap-2813	154	48	r	r	NOUN
ap-2813	154	49	−	−	PROPN
ap-2813	154	50	τ?y	τ?y	PROPN
ap-2813	154	51	)	)	PUNCT
ap-2813	154	52	n+1	n+1	PROPN
ap-2813	154	53	n	n	PROPN
ap-2813	154	54	)	)	PUNCT
ap-2813	154	55	.	.	PUNCT
ap-2813	155	1	(	(	PUNCT
ap-2813	155	2	12	12	NUM
ap-2813	155	3	)	)	PUNCT
ap-2813	155	4	the	the	DET
ap-2813	155	5	nodal	nodal	ADJ
ap-2813	155	6	velocities	velocity	NOUN
ap-2813	155	7	were	be	AUX
ap-2813	155	8	evaluated	evaluate	VERB
ap-2813	155	9	recursively	recursively	ADV
ap-2813	155	10	from	from	ADP
ap-2813	155	11	(	(	PUNCT
ap-2813	155	12	12	12	NUM
ap-2813	155	13	)	)	PUNCT
ap-2813	155	14	starting	start	VERB
ap-2813	155	15	from	from	ADP
ap-2813	155	16	zero	zero	NUM
ap-2813	155	17	velocity	velocity	NOUN
ap-2813	155	18	at	at	ADP
ap-2813	155	19	the	the	DET
ap-2813	155	20	wall	wall	NOUN
ap-2813	155	21	.	.	PUNCT
ap-2813	156	1	the	the	DET
ap-2813	156	2	356	356	NUM
ap-2813	156	3	vol	vol	NOUN
ap-2813	156	4	.	.	PUNCT
ap-2813	157	1	55	55	NUM
ap-2813	157	2	no	no	NOUN
ap-2813	157	3	.	.	PUNCT
ap-2813	158	1	5/2015	5/2015	NUM
ap-2813	158	2	unsteady	unsteady	ADJ
ap-2813	158	3	flow	flow	NOUN
ap-2813	158	4	of	of	ADP
ap-2813	158	5	thixotropic	thixotropic	NOUN
ap-2813	158	6	collagen	collagen	NOUN
ap-2813	158	7	substance	substance	NOUN
ap-2813	158	8	in	in	ADP
ap-2813	158	9	pipes	pipe	NOUN
ap-2813	158	10	figure	figure	NOUN
ap-2813	158	11	5	5	NUM
ap-2813	158	12	.	.	PUNCT
ap-2813	158	13	2d	2d	PROPN
ap-2813	158	14	mesh	mesh	NOUN
ap-2813	158	15	and	and	CCONJ
ap-2813	158	16	interpolation	interpolation	NOUN
ap-2813	158	17	of	of	ADP
ap-2813	158	18	structural	structural	ADJ
ap-2813	158	19	parameter	parameter	NOUN
ap-2813	158	20	at	at	ADP
ap-2813	158	21	a	a	DET
ap-2813	158	22	“	"	PUNCT
ap-2813	158	23	previous	previous	ADJ
ap-2813	158	24	”	"	PUNCT
ap-2813	158	25	time	time	NOUN
ap-2813	158	26	step	step	NOUN
ap-2813	158	27	.	.	PUNCT
ap-2813	159	1	corresponding	correspond	VERB
ap-2813	159	2	flow	flow	NOUN
ap-2813	159	3	rates	rate	NOUN
ap-2813	159	4	in	in	ADP
ap-2813	159	5	annular	annular	ADJ
ap-2813	159	6	sections	section	NOUN
ap-2813	159	7	between	between	ADP
ap-2813	159	8	the	the	DET
ap-2813	159	9	wall	wall	NOUN
ap-2813	159	10	and	and	CCONJ
ap-2813	159	11	radius	radius	PROPN
ap-2813	159	12	rj	rj	PROPN
ap-2813	159	13	are	be	AUX
ap-2813	159	14	v̇	v̇	PROPN
ap-2813	159	15	(	(	PUNCT
ap-2813	159	16	t	t	PROPN
ap-2813	159	17	,	,	PUNCT
ap-2813	159	18	xi	xi	PROPN
ap-2813	159	19	,	,	PUNCT
ap-2813	159	20	rj	rj	PROPN
ap-2813	159	21	)	)	PUNCT
ap-2813	160	1	=	=	VERB
ap-2813	160	2	v̇	v̇	NOUN
ap-2813	160	3	(	(	PUNCT
ap-2813	160	4	t	t	PROPN
ap-2813	160	5	,	,	PUNCT
ap-2813	160	6	xi	xi	PROPN
ap-2813	160	7	,	,	PUNCT
ap-2813	160	8	rj+1	rj+1	NOUN
ap-2813	160	9	)	)	PUNCT
ap-2813	161	1	+	+	NUM
ap-2813	161	2	π	π	X
ap-2813	161	3	(	(	PUNCT
ap-2813	161	4	(	(	PUNCT
ap-2813	161	5	r2u)j+1	r2u)j+1	X
ap-2813	161	6	j	j	PROPN
ap-2813	161	7	+	+	NUM
ap-2813	161	8	r3	r3	PROPN
ap-2813	161	9	τ3	τ3	NOUN
ap-2813	161	10	wk	wk	INTJ
ap-2813	161	11	?	?	SYM
ap-2813	161	12	1	1	NUM
ap-2813	161	13	n	n	PRON
ap-2813	161	14	τw	τw	NOUN
ap-2813	161	15	rj+1	rj+1	DET
ap-2813	161	16	r∫	r∫	PROPN
ap-2813	161	17	τw	τw	X
ap-2813	161	18	rj	rj	PROPN
ap-2813	161	19	r	r	PROPN
ap-2813	161	20	τ2	τ2	PROPN
ap-2813	161	21	(	(	PUNCT
ap-2813	161	22	τ	τ	PROPN
ap-2813	161	23	−	−	PROPN
ap-2813	161	24	τ?y	τ?y	PROPN
ap-2813	161	25	)	)	PUNCT
ap-2813	161	26	1	1	NUM
ap-2813	161	27	n	n	X
ap-2813	161	28	dτ	dτ	NOUN
ap-2813	161	29	)	)	PUNCT
ap-2813	161	30	.	.	PUNCT
ap-2813	162	1	(	(	PUNCT
ap-2813	162	2	13	13	NUM
ap-2813	162	3	)	)	PUNCT
ap-2813	162	4	the	the	DET
ap-2813	162	5	velocities	velocity	NOUN
ap-2813	162	6	and	and	CCONJ
ap-2813	162	7	flow	flow	NOUN
ap-2813	162	8	rates	rate	NOUN
ap-2813	162	9	in	in	ADP
ap-2813	162	10	(	(	PUNCT
ap-2813	162	11	12	12	NUM
ap-2813	162	12	)	)	PUNCT
ap-2813	162	13	,	,	PUNCT
ap-2813	162	14	(	(	PUNCT
ap-2813	162	15	13	13	NUM
ap-2813	162	16	)	)	PUNCT
ap-2813	162	17	are	be	AUX
ap-2813	162	18	expressed	express	VERB
ap-2813	162	19	as	as	ADP
ap-2813	162	20	analytical	analytical	ADJ
ap-2813	162	21	functions	function	NOUN
ap-2813	162	22	of	of	ADP
ap-2813	162	23	wall	wall	PROPN
ap-2813	162	24	shear	shear	PROPN
ap-2813	162	25	stress	stress	NOUN
ap-2813	162	26	τw	τw	NOUN
ap-2813	162	27	and	and	CCONJ
ap-2813	162	28	the	the	DET
ap-2813	162	29	wall	wall	PROPN
ap-2813	162	30	shear	shear	PROPN
ap-2813	162	31	stress	stress	NOUN
ap-2813	162	32	is	be	AUX
ap-2813	162	33	determined	determine	VERB
ap-2813	162	34	by	by	ADP
ap-2813	162	35	the	the	DET
ap-2813	162	36	prescribed	prescribed	ADJ
ap-2813	162	37	flowrate	flowrate	NOUN
ap-2813	162	38	.	.	PUNCT
ap-2813	163	1	this	this	DET
ap-2813	163	2	constraint	constraint	NOUN
ap-2813	163	3	is	be	AUX
ap-2813	163	4	in	in	ADP
ap-2813	163	5	fact	fact	NOUN
ap-2813	163	6	the	the	DET
ap-2813	163	7	algebraic	algebraic	ADJ
ap-2813	163	8	equation	equation	NOUN
ap-2813	163	9	v̇	v̇	NOUN
ap-2813	163	10	(	(	PUNCT
ap-2813	163	11	t	t	NOUN
ap-2813	163	12	)	)	PUNCT
ap-2813	163	13	=	=	VERB
ap-2813	164	1	v̇	v̇	NOUN
ap-2813	164	2	(	(	PUNCT
ap-2813	164	3	t	t	PROPN
ap-2813	164	4	,	,	PUNCT
ap-2813	164	5	xi	xi	PROPN
ap-2813	164	6	,	,	PUNCT
ap-2813	164	7	rj	rj	PROPN
ap-2813	164	8	)	)	PUNCT
ap-2813	164	9	,	,	PUNCT
ap-2813	164	10	which	which	PRON
ap-2813	164	11	has	have	VERB
ap-2813	164	12	to	to	PART
ap-2813	164	13	be	be	AUX
ap-2813	164	14	solved	solve	VERB
ap-2813	164	15	iteratively	iteratively	ADV
ap-2813	164	16	at	at	ADP
ap-2813	164	17	each	each	DET
ap-2813	164	18	time	time	NOUN
ap-2813	164	19	step	step	NOUN
ap-2813	164	20	and	and	CCONJ
ap-2813	164	21	at	at	ADP
ap-2813	164	22	all	all	DET
ap-2813	164	23	cross	cross	NOUN
ap-2813	164	24	sections	section	NOUN
ap-2813	164	25	xi	xi	INTJ
ap-2813	164	26	.	.	PUNCT
ap-2813	165	1	the	the	DET
ap-2813	165	2	radial	radial	ADJ
ap-2813	165	3	velocity	velocity	NOUN
ap-2813	165	4	can	can	AUX
ap-2813	165	5	be	be	AUX
ap-2813	165	6	calculated	calculate	VERB
ap-2813	165	7	from	from	ADP
ap-2813	165	8	the	the	DET
ap-2813	165	9	mass	mass	NOUN
ap-2813	165	10	balance	balance	NOUN
ap-2813	165	11	expressed	express	VERB
ap-2813	165	12	in	in	ADP
ap-2813	165	13	terms	term	NOUN
ap-2813	165	14	of	of	ADP
ap-2813	165	15	the	the	DET
ap-2813	165	16	radial	radial	ADJ
ap-2813	165	17	profiles	profile	NOUN
ap-2813	165	18	of	of	ADP
ap-2813	165	19	flow	flow	NOUN
ap-2813	165	20	rates	rate	NOUN
ap-2813	165	21	v(t	v(t	PROPN
ap-2813	165	22	,	,	PUNCT
ap-2813	165	23	xi	xi	PROPN
ap-2813	165	24	,	,	PUNCT
ap-2813	165	25	rj	rj	PROPN
ap-2813	165	26	)	)	PUNCT
ap-2813	166	1	=	=	VERB
ap-2813	166	2	v̇	v̇	NOUN
ap-2813	166	3	(	(	PUNCT
ap-2813	166	4	t	t	PROPN
ap-2813	166	5	,	,	PUNCT
ap-2813	166	6	xi+1	xi+1	PROPN
ap-2813	166	7	,	,	PUNCT
ap-2813	166	8	rj)−	rj)−	NOUN
ap-2813	166	9	v̇	v̇	PROPN
ap-2813	166	10	(	(	PUNCT
ap-2813	166	11	t	t	PROPN
ap-2813	166	12	,	,	PUNCT
ap-2813	166	13	xi	xi	PROPN
ap-2813	166	14	,	,	PUNCT
ap-2813	166	15	rj	rj	PROPN
ap-2813	166	16	)	)	PUNCT
ap-2813	166	17	2πrj(xi+1	2πrj(xi+1	NUM
ap-2813	167	1	−	−	NOUN
ap-2813	167	2	xi	xi	NOUN
ap-2813	167	3	)	)	PUNCT
ap-2813	167	4	.	.	PUNCT
ap-2813	168	1	(	(	PUNCT
ap-2813	168	2	14	14	NUM
ap-2813	168	3	)	)	PUNCT
ap-2813	168	4	let	let	VERB
ap-2813	168	5	us	we	PRON
ap-2813	168	6	assume	assume	VERB
ap-2813	168	7	that	that	SCONJ
ap-2813	168	8	the	the	DET
ap-2813	168	9	nodal	nodal	ADJ
ap-2813	168	10	values	value	NOUN
ap-2813	168	11	of	of	ADP
ap-2813	168	12	structural	structural	ADJ
ap-2813	168	13	parameter	parameter	NOUN
ap-2813	168	14	λ(k	λ(k	PROPN
ap-2813	168	15	)	)	PUNCT
ap-2813	168	16	ij	ij	NOUN
ap-2813	168	17	are	be	AUX
ap-2813	168	18	known	know	VERB
ap-2813	168	19	at	at	ADP
ap-2813	168	20	time	time	NOUN
ap-2813	168	21	t(k	t(k	PROPN
ap-2813	168	22	)	)	PUNCT
ap-2813	168	23	and	and	CCONJ
ap-2813	168	24	the	the	DET
ap-2813	168	25	values	value	NOUN
ap-2813	168	26	λ(k+1	λ(k+1	NOUN
ap-2813	168	27	)	)	PUNCT
ap-2813	168	28	ij	ij	NOUN
ap-2813	168	29	at	at	ADP
ap-2813	168	30	time	time	NOUN
ap-2813	168	31	t(k+1	t(k+1	NUM
ap-2813	168	32	)	)	PUNCT
ap-2813	168	33	and	and	CCONJ
ap-2813	168	34	node	node	NOUN
ap-2813	168	35	xi	xi	PROPN
ap-2813	168	36	,	,	PUNCT
ap-2813	168	37	rj	rj	PROPN
ap-2813	168	38	we	we	PRON
ap-2813	168	39	want	want	VERB
ap-2813	168	40	to	to	PART
ap-2813	168	41	calculate	calculate	VERB
ap-2813	168	42	.	.	PUNCT
ap-2813	169	1	it	it	PRON
ap-2813	169	2	is	be	AUX
ap-2813	169	3	first	first	ADV
ap-2813	169	4	necessary	necessary	ADJ
ap-2813	169	5	to	to	PART
ap-2813	169	6	calculate	calculate	VERB
ap-2813	169	7	the	the	DET
ap-2813	169	8	trajectory	trajectory	NOUN
ap-2813	169	9	of	of	ADP
ap-2813	169	10	the	the	DET
ap-2813	169	11	particles	particle	NOUN
ap-2813	169	12	,	,	PUNCT
ap-2813	169	13	or	or	CCONJ
ap-2813	169	14	more	more	ADV
ap-2813	169	15	precisely	precisely	ADV
ap-2813	169	16	,	,	PUNCT
ap-2813	169	17	to	to	PART
ap-2813	169	18	calculate	calculate	VERB
ap-2813	169	19	the	the	DET
ap-2813	169	20	initial	initial	ADJ
ap-2813	169	21	position	position	NOUN
ap-2813	169	22	of	of	ADP
ap-2813	169	23	the	the	DET
ap-2813	169	24	fluid	fluid	ADJ
ap-2813	169	25	particles	particle	NOUN
ap-2813	169	26	(	(	PUNCT
ap-2813	169	27	coordinates	coordinate	NOUN
ap-2813	169	28	ξ	ξ	PROPN
ap-2813	169	29	,	,	PUNCT
ap-2813	169	30	η	η	PROPN
ap-2813	169	31	shown	show	VERB
ap-2813	169	32	in	in	ADP
ap-2813	169	33	fig	fig	NOUN
ap-2813	169	34	.	.	PUNCT
ap-2813	170	1	4	4	NUM
ap-2813	170	2	)	)	PUNCT
ap-2813	170	3	that	that	PRON
ap-2813	170	4	ends	end	VERB
ap-2813	170	5	at	at	ADP
ap-2813	170	6	node	node	PROPN
ap-2813	170	7	xi	xi	PROPN
ap-2813	170	8	,	,	PUNCT
ap-2813	170	9	rj	rj	PROPN
ap-2813	170	10	.	.	PUNCT
ap-2813	171	1	assuming	assume	VERB
ap-2813	171	2	that	that	SCONJ
ap-2813	171	3	the	the	DET
ap-2813	171	4	change	change	NOUN
ap-2813	171	5	in	in	ADP
ap-2813	171	6	the	the	DET
ap-2813	171	7	next	next	ADJ
ap-2813	171	8	time	time	NOUN
ap-2813	171	9	step	step	NOUN
ap-2813	171	10	∆t(k	∆t(k	PROPN
ap-2813	171	11	)	)	PUNCT
ap-2813	171	12	=	=	SYM
ap-2813	171	13	t(k+1	t(k+1	X
ap-2813	171	14	)	)	PUNCT
ap-2813	171	15	−	−	PROPN
ap-2813	171	16	t(k	t(k	PROPN
ap-2813	171	17	)	)	PUNCT
ap-2813	171	18	is	be	AUX
ap-2813	171	19	small	small	ADJ
ap-2813	171	20	,	,	PUNCT
ap-2813	171	21	the	the	DET
ap-2813	171	22	trajectory	trajectory	NOUN
ap-2813	171	23	remains	remain	VERB
ap-2813	171	24	inside	inside	ADP
ap-2813	171	25	the	the	DET
ap-2813	171	26	cell	cell	NOUN
ap-2813	171	27	formed	form	VERB
ap-2813	171	28	by	by	ADP
ap-2813	171	29	cross	cross	NOUN
ap-2813	171	30	sections	section	NOUN
ap-2813	171	31	xi−1	xi−1	PROPN
ap-2813	171	32	and	and	CCONJ
ap-2813	171	33	xi	xi	PROPN
ap-2813	171	34	,	,	PUNCT
ap-2813	171	35	and	and	CCONJ
ap-2813	171	36	the	the	DET
ap-2813	171	37	increments	increment	NOUN
ap-2813	171	38	ξ	ξ	PROPN
ap-2813	171	39	,	,	PUNCT
ap-2813	171	40	η	η	PROPN
ap-2813	171	41	are	be	AUX
ap-2813	171	42	given	give	VERB
ap-2813	171	43	by	by	ADP
ap-2813	171	44	velocities	velocity	NOUN
ap-2813	171	45	evaluated	evaluate	VERB
ap-2813	171	46	at	at	ADP
ap-2813	171	47	node	node	PROPN
ap-2813	171	48	i	i	PROPN
ap-2813	171	49	,	,	PUNCT
ap-2813	171	50	j	j	PROPN
ap-2813	171	51	from	from	ADP
ap-2813	171	52	(	(	PUNCT
ap-2813	171	53	12	12	NUM
ap-2813	171	54	)	)	PUNCT
ap-2813	171	55	and	and	CCONJ
ap-2813	171	56	(	(	PUNCT
ap-2813	171	57	14	14	NUM
ap-2813	171	58	):	):	PUNCT
ap-2813	171	59	ξ	ξ	PROPN
ap-2813	171	60	=	=	SYM
ap-2813	171	61	u	u	PROPN
ap-2813	171	62	(	(	PUNCT
ap-2813	171	63	k	k	NOUN
ap-2813	171	64	)	)	PUNCT
ap-2813	171	65	ij	ij	NOUN
ap-2813	171	66	∆t(k	∆t(k	PROPN
ap-2813	171	67	)	)	PUNCT
ap-2813	171	68	∆x	∆x	PROPN
ap-2813	171	69	;	;	PUNCT
ap-2813	171	70	η	η	PROPN
ap-2813	171	71	=	=	PROPN
ap-2813	171	72	v	v	PROPN
ap-2813	171	73	(	(	PUNCT
ap-2813	171	74	k	k	NOUN
ap-2813	171	75	)	)	PUNCT
ap-2813	171	76	ij	ij	NOUN
ap-2813	171	77	∆t(k	∆t(k	PROPN
ap-2813	171	78	)	)	PUNCT
ap-2813	171	79	rj	rj	PROPN
ap-2813	171	80	−	−	PROPN
ap-2813	171	81	rj−1	rj−1	NOUN
ap-2813	171	82	.	.	PUNCT
ap-2813	172	1	(	(	PUNCT
ap-2813	172	2	15	15	NUM
ap-2813	172	3	)	)	PUNCT
ap-2813	172	4	the	the	DET
ap-2813	172	5	value	value	NOUN
ap-2813	172	6	of	of	ADP
ap-2813	172	7	the	the	DET
ap-2813	172	8	structural	structural	ADJ
ap-2813	172	9	parameters	parameter	NOUN
ap-2813	172	10	of	of	ADP
ap-2813	172	11	a	a	DET
ap-2813	172	12	fluid	fluid	ADJ
ap-2813	172	13	particle	particle	NOUN
ap-2813	172	14	at	at	ADP
ap-2813	172	15	a	a	DET
ap-2813	172	16	“	"	PUNCT
ap-2813	172	17	previous	previous	ADJ
ap-2813	172	18	”	"	PUNCT
ap-2813	172	19	time	time	NOUN
ap-2813	172	20	t(k	t(k	PROPN
ap-2813	172	21	)	)	PUNCT
ap-2813	172	22	at	at	ADP
ap-2813	172	23	position	position	NOUN
ap-2813	172	24	ξ	ξ	PROPN
ap-2813	172	25	,	,	PUNCT
ap-2813	172	26	η	η	PROPN
ap-2813	172	27	can	can	AUX
ap-2813	172	28	be	be	AUX
ap-2813	172	29	interpolated	interpolate	VERB
ap-2813	172	30	from	from	ADP
ap-2813	172	31	the	the	DET
ap-2813	172	32	nodal	nodal	ADJ
ap-2813	172	33	values	value	NOUN
ap-2813	172	34	(	(	PUNCT
ap-2813	172	35	using	use	VERB
ap-2813	172	36	bilinear	bilinear	ADJ
ap-2813	172	37	interpolation	interpolation	NOUN
ap-2813	172	38	):	):	PUNCT
ap-2813	172	39	λ(k)(ξ	λ(k)(ξ	X
ap-2813	172	40	,	,	PUNCT
ap-2813	172	41	η	η	NOUN
ap-2813	172	42	)	)	PUNCT
ap-2813	172	43	=	=	SYM
ap-2813	172	44	λ	λ	PROPN
ap-2813	172	45	(	(	PUNCT
ap-2813	172	46	k	k	NOUN
ap-2813	172	47	)	)	PUNCT
ap-2813	172	48	ij	ij	NOUN
ap-2813	172	49	(	(	PUNCT
ap-2813	172	50	1−	1−	NUM
ap-2813	172	51	ξ)(1−	ξ)(1−	NUM
ap-2813	172	52	η	η	PROPN
ap-2813	172	53	)	)	PUNCT
ap-2813	173	1	+	+	NUM
ap-2813	173	2	λ	λ	PROPN
ap-2813	173	3	(	(	PUNCT
ap-2813	173	4	k	k	NOUN
ap-2813	173	5	)	)	PUNCT
ap-2813	173	6	i−1,jξ(1−	i−1,jξ(1−	ADJ
ap-2813	173	7	η	η	PROPN
ap-2813	173	8	)	)	PUNCT
ap-2813	173	9	+	+	NUM
ap-2813	173	10	λ	λ	PROPN
ap-2813	173	11	(	(	PUNCT
ap-2813	173	12	k	k	NOUN
ap-2813	173	13	)	)	PUNCT
ap-2813	173	14	i	i	PRON
ap-2813	173	15	,	,	PUNCT
ap-2813	173	16	j−1(1−	j−1(1−	PROPN
ap-2813	173	17	ξ)η	ξ)η	X
ap-2813	174	1	+	+	NUM
ap-2813	174	2	λ	λ	PROPN
ap-2813	174	3	(	(	PUNCT
ap-2813	174	4	k	k	NOUN
ap-2813	174	5	)	)	PUNCT
ap-2813	174	6	i−1,j−1ξη	i−1,j−1ξη	PROPN
ap-2813	174	7	for	for	ADP
ap-2813	174	8	ξ	ξ	PROPN
ap-2813	174	9	>	>	SYM
ap-2813	174	10	0	0	PROPN
ap-2813	174	11	,	,	PUNCT
ap-2813	174	12	η	η	PROPN
ap-2813	174	13	>	>	X
ap-2813	174	14	0	0	NUM
ap-2813	174	15	;	;	PUNCT
ap-2813	174	16	(	(	PUNCT
ap-2813	174	17	16	16	NUM
ap-2813	174	18	)	)	PUNCT
ap-2813	174	19	λ(k)(ξ	λ(k)(ξ	X
ap-2813	174	20	,	,	PUNCT
ap-2813	174	21	η	η	NOUN
ap-2813	174	22	)	)	PUNCT
ap-2813	174	23	=	=	SYM
ap-2813	174	24	λ	λ	PROPN
ap-2813	174	25	(	(	PUNCT
ap-2813	174	26	k	k	NOUN
ap-2813	174	27	)	)	PUNCT
ap-2813	174	28	ij	ij	NOUN
ap-2813	174	29	(	(	PUNCT
ap-2813	174	30	1−	1−	NUM
ap-2813	174	31	ξ)(1	ξ)(1	X
ap-2813	174	32	+	+	CCONJ
ap-2813	174	33	η	η	PROPN
ap-2813	174	34	)	)	PUNCT
ap-2813	174	35	+	+	NUM
ap-2813	174	36	λ	λ	PROPN
ap-2813	174	37	(	(	PUNCT
ap-2813	174	38	k	k	NOUN
ap-2813	174	39	)	)	PUNCT
ap-2813	174	40	i−1,jξ(1	i−1,jξ(1	PROPN
ap-2813	175	1	+	+	CCONJ
ap-2813	175	2	η)−	η)−	PROPN
ap-2813	175	3	λ(k	λ(k	PROPN
ap-2813	175	4	)	)	PUNCT
ap-2813	175	5	i	i	PRON
ap-2813	175	6	,	,	PUNCT
ap-2813	175	7	j+1(1−	j+1(1−	X
ap-2813	175	8	ξ)η	ξ)η	NOUN
ap-2813	175	9	−	−	NOUN
ap-2813	176	1	λ(k	λ(k	X
ap-2813	176	2	)	)	PUNCT
ap-2813	176	3	i−1,j+1ξη	i−1,j+1ξη	PROPN
ap-2813	176	4	for	for	ADP
ap-2813	176	5	ξ	ξ	PROPN
ap-2813	176	6	>	>	SYM
ap-2813	176	7	0	0	PROPN
ap-2813	176	8	,	,	PUNCT
ap-2813	176	9	η	η	X
ap-2813	176	10	<	<	X
ap-2813	176	11	0	0	NUM
ap-2813	176	12	.	.	PUNCT
ap-2813	177	1	(	(	PUNCT
ap-2813	177	2	17	17	NUM
ap-2813	177	3	)	)	PUNCT
ap-2813	177	4	the	the	DET
ap-2813	177	5	values	value	NOUN
ap-2813	177	6	of	of	ADP
ap-2813	177	7	the	the	DET
ap-2813	177	8	structural	structural	ADJ
ap-2813	177	9	parameters	parameter	NOUN
ap-2813	177	10	at	at	ADP
ap-2813	177	11	a	a	DET
ap-2813	177	12	“	"	PUNCT
ap-2813	177	13	new	new	ADJ
ap-2813	177	14	”	"	PUNCT
ap-2813	177	15	time	time	NOUN
ap-2813	177	16	are	be	AUX
ap-2813	177	17	obtained	obtain	VERB
ap-2813	177	18	by	by	ADP
ap-2813	177	19	integration	integration	NOUN
ap-2813	177	20	of	of	ADP
ap-2813	177	21	transport	transport	NOUN
ap-2813	177	22	equation	equation	NOUN
ap-2813	177	23	(	(	PUNCT
ap-2813	177	24	2	2	NUM
ap-2813	177	25	)	)	PUNCT
ap-2813	177	26	along	along	ADP
ap-2813	177	27	the	the	DET
ap-2813	177	28	particle	particle	NOUN
ap-2813	177	29	trajectory	trajectory	NOUN
ap-2813	177	30	(	(	PUNCT
ap-2813	177	31	i.e.	i.e.	X
ap-2813	177	32	,	,	PUNCT
ap-2813	177	33	along	along	ADP
ap-2813	177	34	the	the	DET
ap-2813	177	35	characteristic	characteristic	NOUN
ap-2813	177	36	):	):	PUNCT
ap-2813	177	37	λ	λ	PROPN
ap-2813	177	38	(	(	PUNCT
ap-2813	177	39	k+1	k+1	NOUN
ap-2813	177	40	)	)	PUNCT
ap-2813	177	41	ij	ij	NOUN
ap-2813	177	42	=	=	SYM
ap-2813	177	43	1	1	NUM
ap-2813	177	44	a+	a+	PRON
ap-2813	177	45	b(γ̇(k	b(γ̇(k	PROPN
ap-2813	177	46	)	)	PUNCT
ap-2813	177	47	ij	ij	NOUN
ap-2813	177	48	)	)	PUNCT
ap-2813	178	1	m	m	PROPN
ap-2813	178	2	(	(	PUNCT
ap-2813	178	3	a−	a−	PROPN
ap-2813	178	4	(	(	PUNCT
ap-2813	178	5	a−	a−	PROPN
ap-2813	178	6	(	(	PUNCT
ap-2813	178	7	a+	a+	PUNCT
ap-2813	178	8	b(γ̇(k	b(γ̇(k	PROPN
ap-2813	178	9	)	)	PUNCT
ap-2813	178	10	ij	ij	NOUN
ap-2813	178	11	)	)	PUNCT
ap-2813	178	12	m	m	NOUN
ap-2813	178	13	)	)	PUNCT
ap-2813	178	14	·	·	PUNCT
ap-2813	179	1	λ(k)(ξ	λ(k)(ξ	X
ap-2813	179	2	,	,	PUNCT
ap-2813	179	3	η	η	NOUN
ap-2813	179	4	)	)	PUNCT
ap-2813	179	5	)	)	PUNCT
ap-2813	179	6	e−(a+b(γ̇(k	e−(a+b(γ̇(k	NOUN
ap-2813	179	7	)	)	PUNCT
ap-2813	179	8	ij	ij	NOUN
ap-2813	179	9	)	)	PUNCT
ap-2813	179	10	m)∆t(k	m)∆t(k	NUM
ap-2813	179	11	)	)	PUNCT
ap-2813	179	12	)	)	PUNCT
ap-2813	179	13	.	.	PUNCT
ap-2813	180	1	(	(	PUNCT
ap-2813	180	2	18	18	NUM
ap-2813	180	3	)	)	PUNCT
ap-2813	180	4	this	this	DET
ap-2813	180	5	relationship	relationship	NOUN
ap-2813	180	6	can	can	AUX
ap-2813	180	7	be	be	AUX
ap-2813	180	8	applied	apply	VERB
ap-2813	180	9	to	to	ADP
ap-2813	180	10	all	all	DET
ap-2813	180	11	internal	internal	ADJ
ap-2813	180	12	points	point	NOUN
ap-2813	180	13	;	;	PUNCT
ap-2813	180	14	the	the	DET
ap-2813	180	15	value	value	NOUN
ap-2813	180	16	of	of	ADP
ap-2813	180	17	structural	structural	ADJ
ap-2813	180	18	parameters	parameter	NOUN
ap-2813	180	19	at	at	ADP
ap-2813	180	20	the	the	DET
ap-2813	180	21	wall	wall	NOUN
ap-2813	180	22	can	can	AUX
ap-2813	180	23	be	be	AUX
ap-2813	180	24	calculated	calculate	VERB
ap-2813	180	25	directly	directly	ADV
ap-2813	180	26	from	from	ADP
ap-2813	180	27	equilibrium	equilibrium	NOUN
ap-2813	180	28	λ	λ	PROPN
ap-2813	180	29	(	(	PUNCT
ap-2813	180	30	k+1	k+1	NOUN
ap-2813	180	31	)	)	PUNCT
ap-2813	180	32	wi	wi	PROPN
ap-2813	180	33	∼=	∼=	PROPN
ap-2813	180	34	a	a	DET
ap-2813	180	35	a+	a+	PRON
ap-2813	180	36	bγ̇mi	bγ̇mi	ADJ
ap-2813	180	37	.	.	PUNCT
ap-2813	181	1	(	(	PUNCT
ap-2813	181	2	19	19	NUM
ap-2813	181	3	)	)	PUNCT
ap-2813	181	4	the	the	DET
ap-2813	181	5	method	method	NOUN
ap-2813	181	6	described	describe	VERB
ap-2813	181	7	is	be	AUX
ap-2813	181	8	explicit	explicit	ADJ
ap-2813	181	9	because	because	SCONJ
ap-2813	181	10	the	the	DET
ap-2813	181	11	velocities	velocity	NOUN
ap-2813	181	12	in	in	ADP
ap-2813	181	13	(	(	PUNCT
ap-2813	181	14	15	15	NUM
ap-2813	181	15	)	)	PUNCT
ap-2813	181	16	,	,	PUNCT
ap-2813	181	17	the	the	DET
ap-2813	181	18	associated	associated	ADJ
ap-2813	181	19	trajectories	trajectory	NOUN
ap-2813	181	20	and	and	CCONJ
ap-2813	181	21	rate	rate	NOUN
ap-2813	181	22	of	of	ADP
ap-2813	181	23	deformation	deformation	NOUN
ap-2813	181	24	are	be	AUX
ap-2813	181	25	evaluated	evaluate	VERB
ap-2813	181	26	at	at	ADP
ap-2813	181	27	the	the	DET
ap-2813	181	28	“	"	PUNCT
ap-2813	181	29	previous	previous	ADJ
ap-2813	181	30	”	"	PUNCT
ap-2813	181	31	time	time	NOUN
ap-2813	181	32	.	.	PUNCT
ap-2813	182	1	acknowledgements	acknowledgement	NOUN
ap-2813	182	2	this	this	DET
ap-2813	182	3	research	research	NOUN
ap-2813	182	4	was	be	AUX
ap-2813	182	5	supported	support	VERB
ap-2813	182	6	by	by	ADP
ap-2813	182	7	the	the	DET
ap-2813	182	8	research	research	NOUN
ap-2813	182	9	project	project	NOUN
ap-2813	182	10	gacr	gacr	NOUN
ap-2813	182	11	14	14	NUM
ap-2813	182	12	-	-	PUNCT
ap-2813	182	13	23482s	23482s	NUM
ap-2813	182	14	“	"	PUNCT
ap-2813	182	15	thermal	thermal	ADJ
ap-2813	182	16	,	,	PUNCT
ap-2813	182	17	electrical	electrical	ADJ
ap-2813	182	18	and	and	CCONJ
ap-2813	182	19	rheological	rheological	ADJ
ap-2813	182	20	properties	property	NOUN
ap-2813	182	21	of	of	ADP
ap-2813	182	22	collagen	collagen	NOUN
ap-2813	182	23	matter	matter	NOUN
ap-2813	182	24	”	"	PUNCT
ap-2813	182	25	.	.	PUNCT
ap-2813	183	1	list	list	NOUN
ap-2813	183	2	of	of	ADP
ap-2813	183	3	symbols	symbol	NOUN
ap-2813	183	4	a	a	DET
ap-2813	183	5	coefficient	coefficient	NOUN
ap-2813	183	6	of	of	ADP
ap-2813	183	7	structure	structure	NOUN
ap-2813	183	8	regeneration	regeneration	NOUN
ap-2813	183	9	[	[	X
ap-2813	183	10	s−1	s−1	X
ap-2813	183	11	]	]	X
ap-2813	183	12	b	b	NOUN
ap-2813	183	13	coefficient	coefficient	NOUN
ap-2813	183	14	of	of	ADP
ap-2813	183	15	structure	structure	NOUN
ap-2813	183	16	breakdown	breakdown	NOUN
ap-2813	184	1	[	[	X
ap-2813	184	2	sm−1	sm−1	NOUN
ap-2813	184	3	]	]	PUNCT
ap-2813	184	4	dλ	dλ	NOUN
ap-2813	184	5	diffusion	diffusion	NOUN
ap-2813	184	6	coefficient	coefficient	NOUN
ap-2813	184	7	[	[	X
ap-2813	184	8	m2	m2	PROPN
ap-2813	184	9	s−1	s−1	PROPN
ap-2813	184	10	]	]	X
ap-2813	184	11	k	k	PROPN
ap-2813	184	12	consistency	consistency	NOUN
ap-2813	184	13	coefficient	coefficient	NOUN
ap-2813	185	1	[	[	X
ap-2813	185	2	pa	pa	PROPN
ap-2813	185	3	sn	sn	X
ap-2813	185	4	]	]	X
ap-2813	185	5	∆k	∆k	PROPN
ap-2813	185	6	increment	increment	NOUN
ap-2813	185	7	of	of	ADP
ap-2813	185	8	consistency	consistency	NOUN
ap-2813	185	9	coefficient	coefficient	NOUN
ap-2813	185	10	[	[	X
ap-2813	185	11	pa	pa	PROPN
ap-2813	185	12	sn	sn	PROPN
ap-2813	185	13	]	]	X
ap-2813	185	14	l	l	NOUN
ap-2813	185	15	length	length	NOUN
ap-2813	185	16	of	of	ADP
ap-2813	185	17	pipe	pipe	NOUN
ap-2813	186	1	[	[	X
ap-2813	186	2	m	m	X
ap-2813	186	3	]	]	X
ap-2813	186	4	m	m	VERB
ap-2813	186	5	breakdown	breakdown	ADJ
ap-2813	186	6	index	index	NOUN
ap-2813	186	7	[	[	X
ap-2813	186	8	–	–	PUNCT
ap-2813	186	9	]	]	PUNCT
ap-2813	186	10	357	357	NUM
ap-2813	186	11	r.	r.	PROPN
ap-2813	186	12	zitny	zitny	PROPN
ap-2813	186	13	,	,	PUNCT
ap-2813	186	14	a.	a.	NOUN
ap-2813	186	15	landfeld	landfeld	PROPN
ap-2813	186	16	,	,	PUNCT
ap-2813	186	17	j.	j.	PROPN
ap-2813	186	18	skocilas	skocilas	PROPN
ap-2813	186	19	et	et	PROPN
ap-2813	186	20	al	al	PROPN
ap-2813	186	21	.	.	PROPN
ap-2813	187	1	acta	acta	PROPN
ap-2813	187	2	polytechnica	polytechnica	PROPN
ap-2813	187	3	n	n	CCONJ
ap-2813	187	4	flow	flow	NOUN
ap-2813	187	5	behaviour	behaviour	NOUN
ap-2813	187	6	index	index	NOUN
ap-2813	187	7	[	[	X
ap-2813	187	8	–	–	PUNCT
ap-2813	187	9	]	]	X
ap-2813	187	10	p	p	X
ap-2813	187	11	pressure	pressure	NOUN
ap-2813	187	12	[	[	X
ap-2813	187	13	pa	pa	X
ap-2813	187	14	]	]	X
ap-2813	187	15	r	r	NOUN
ap-2813	187	16	radial	radial	ADJ
ap-2813	187	17	coordinate	coordinate	NOUN
ap-2813	187	18	[	[	X
ap-2813	187	19	m	m	X
ap-2813	187	20	]	]	X
ap-2813	187	21	r	r	NOUN
ap-2813	187	22	radius	radius	NOUN
ap-2813	187	23	of	of	ADP
ap-2813	187	24	outer	outer	ADJ
ap-2813	187	25	pipe	pipe	NOUN
ap-2813	188	1	[	[	X
ap-2813	188	2	m	m	X
ap-2813	188	3	]	]	X
ap-2813	188	4	t	t	NOUN
ap-2813	188	5	time	time	NOUN
ap-2813	188	6	[	[	X
ap-2813	188	7	s	s	X
ap-2813	188	8	]	]	X
ap-2813	188	9	trtd	trtd	NOUN
ap-2813	188	10	mean	mean	VERB
ap-2813	188	11	residence	residence	NOUN
ap-2813	188	12	time	time	NOUN
ap-2813	188	13	[	[	X
ap-2813	188	14	s	s	X
ap-2813	188	15	]	]	X
ap-2813	188	16	u	u	NOUN
ap-2813	188	17	axial	axial	ADJ
ap-2813	188	18	velocity	velocity	NOUN
ap-2813	188	19	[	[	X
ap-2813	188	20	m	m	NOUN
ap-2813	188	21	s−1	s−1	PROPN
ap-2813	188	22	]	]	PUNCT
ap-2813	188	23	ū	ū	NOUN
ap-2813	188	24	mean	mean	VERB
ap-2813	188	25	axial	axial	ADJ
ap-2813	188	26	velocity	velocity	NOUN
ap-2813	188	27	[	[	X
ap-2813	188	28	m	m	NOUN
ap-2813	188	29	s−1	s−1	PROPN
ap-2813	188	30	]	]	PUNCT
ap-2813	188	31	v	v	ADP
ap-2813	188	32	radial	radial	ADJ
ap-2813	188	33	velocity	velocity	NOUN
ap-2813	188	34	[	[	X
ap-2813	188	35	m	m	NOUN
ap-2813	188	36	s−1	s−1	PROPN
ap-2813	188	37	]	]	X
ap-2813	188	38	v̇	v̇	NOUN
ap-2813	188	39	volumetric	volumetric	NOUN
ap-2813	188	40	flow	flow	NOUN
ap-2813	188	41	rate	rate	NOUN
ap-2813	189	1	[	[	X
ap-2813	189	2	m3	m3	PROPN
ap-2813	189	3	s−1	s−1	PROPN
ap-2813	189	4	]	]	PUNCT
ap-2813	189	5	x	x	SYM
ap-2813	189	6	axial	axial	ADJ
ap-2813	189	7	coordinate	coordinate	NOUN
ap-2813	190	1	[	[	X
ap-2813	190	2	m	m	X
ap-2813	190	3	]	]	X
ap-2813	190	4	γ̇	γ̇	ADJ
ap-2813	190	5	shear	shear	NOUN
ap-2813	190	6	rate	rate	NOUN
ap-2813	190	7	[	[	X
ap-2813	190	8	s−1	s−1	X
ap-2813	190	9	]	]	X
ap-2813	190	10	λ	λ	X
ap-2813	190	11	structural	structural	ADJ
ap-2813	190	12	parameter	parameter	NOUN
ap-2813	191	1	[	[	X
ap-2813	191	2	–	–	PUNCT
ap-2813	191	3	]	]	PUNCT
ap-2813	191	4	τw	τw	NOUN
ap-2813	191	5	wall	wall	PROPN
ap-2813	191	6	shear	shear	PROPN
ap-2813	191	7	stress	stress	NOUN
ap-2813	192	1	[	[	AUX
ap-2813	192	2	pa	pa	X
ap-2813	192	3	]	]	X
ap-2813	192	4	τy	τy	PRON
ap-2813	192	5	yield	yield	VERB
ap-2813	192	6	stress	stress	NOUN
ap-2813	192	7	[	[	X
ap-2813	192	8	pa	pa	X
ap-2813	192	9	]	]	PUNCT
ap-2813	192	10	∆τy	∆τy	X
ap-2813	192	11	increment	increment	NOUN
ap-2813	192	12	of	of	ADP
ap-2813	192	13	yield	yield	NOUN
ap-2813	192	14	stress	stress	NOUN
ap-2813	192	15	[	[	X
ap-2813	192	16	pa	pa	X
ap-2813	192	17	]	]	X
ap-2813	192	18	i	i	PROPN
ap-2813	192	19	index	index	NOUN
ap-2813	192	20	of	of	ADP
ap-2813	192	21	cross	cross	NOUN
ap-2813	192	22	-	-	NOUN
ap-2813	192	23	section	section	ADJ
ap-2813	192	24	(	(	PUNCT
ap-2813	192	25	axial	axial	ADJ
ap-2813	192	26	coordinate	coordinate	NOUN
ap-2813	192	27	)	)	PUNCT
ap-2813	192	28	j	j	PROPN
ap-2813	192	29	index	index	NOUN
ap-2813	192	30	of	of	ADP
ap-2813	192	31	node	node	NOUN
ap-2813	192	32	in	in	ADP
ap-2813	192	33	radial	radial	ADJ
ap-2813	192	34	direction	direction	NOUN
ap-2813	192	35	w	w	PROPN
ap-2813	192	36	subscript	subscript	NOUN
ap-2813	192	37	referring	refer	VERB
ap-2813	192	38	to	to	ADP
ap-2813	192	39	the	the	DET
ap-2813	192	40	wall	wall	NOUN
ap-2813	192	41	references	reference	NOUN
ap-2813	192	42	[	[	X
ap-2813	192	43	1	1	NUM
ap-2813	192	44	]	]	PUNCT
ap-2813	192	45	j.	j.	PROPN
ap-2813	192	46	mewis	mewis	PROPN
ap-2813	192	47	.	.	PUNCT
ap-2813	193	1	thixotropy	thixotropy	VERB
ap-2813	193	2	a	a	DET
ap-2813	193	3	general	general	ADJ
ap-2813	193	4	review	review	NOUN
ap-2813	193	5	.	.	PUNCT
ap-2813	194	1	journal	journal	PROPN
ap-2813	194	2	of	of	ADP
ap-2813	194	3	non	non	ADJ
ap-2813	194	4	-	-	ADJ
ap-2813	194	5	newtonian	newtonian	ADJ
ap-2813	194	6	fluid	fluid	ADJ
ap-2813	194	7	mechanics	mechanic	NOUN
ap-2813	194	8	6(1):1–20	6(1):1–20	NUM
ap-2813	194	9	,	,	PUNCT
ap-2813	194	10	1979	1979	NUM
ap-2813	194	11	.	.	PUNCT
ap-2813	195	1	doi:10.1016/0377	doi:10.1016/0377	NOUN
ap-2813	195	2	-	-	PUNCT
ap-2813	195	3	0257(79)87001	0257(79)87001	NOUN
ap-2813	195	4	-	-	PUNCT
ap-2813	195	5	9	9	NUM
ap-2813	195	6	.	.	PUNCT
ap-2813	196	1	[	[	X
ap-2813	196	2	2	2	X
ap-2813	196	3	]	]	PUNCT
ap-2813	196	4	h.	h.	PROPN
ap-2813	196	5	a.	a.	PROPN
ap-2813	196	6	barnes	barnes	PROPN
ap-2813	196	7	.	.	PUNCT
ap-2813	197	1	tixotropy	tixotropy	VERB
ap-2813	197	2	a	a	DET
ap-2813	197	3	review	review	NOUN
ap-2813	197	4	.	.	PUNCT
ap-2813	198	1	journal	journal	PROPN
ap-2813	198	2	of	of	ADP
ap-2813	198	3	non	non	ADJ
ap-2813	198	4	-	-	ADJ
ap-2813	198	5	newtonian	newtonian	ADJ
ap-2813	198	6	fluid	fluid	ADJ
ap-2813	198	7	mechanics	mechanic	NOUN
ap-2813	198	8	70:1–33	70:1–33	NUM
ap-2813	198	9	,	,	PUNCT
ap-2813	198	10	1997	1997	NUM
ap-2813	198	11	.	.	PUNCT
ap-2813	199	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	199	2	/	/	SYM
ap-2813	199	3	s0377	s0377	NOUN
ap-2813	199	4	-	-	PUNCT
ap-2813	199	5	0257(97)00004	0257(97)00004	NOUN
ap-2813	199	6	-	-	PUNCT
ap-2813	199	7	9	9	NUM
ap-2813	199	8	.	.	PUNCT
ap-2813	200	1	[	[	X
ap-2813	200	2	3	3	X
ap-2813	200	3	]	]	PUNCT
ap-2813	200	4	j.	j.	PROPN
ap-2813	200	5	sestak	sestak	PROPN
ap-2813	200	6	,	,	PUNCT
ap-2813	200	7	r.	r.	PROPN
ap-2813	200	8	zitny	zitny	PROPN
ap-2813	200	9	.	.	PUNCT
ap-2813	200	10	tok	tok	PROPN
ap-2813	200	11	tixotropni	tixotropni	PROPN
ap-2813	200	12	kapaliny	kapaliny	NOUN
ap-2813	200	13	v	v	ADP
ap-2813	200	14	trubce	trubce	NOUN
ap-2813	200	15	.	.	PUNCT
ap-2813	201	1	acta	acta	PROPN
ap-2813	201	2	polytechnica	polytechnica	PROPN
ap-2813	201	3	4:45	4:45	PROPN
ap-2813	201	4	,	,	PUNCT
ap-2813	201	5	1976	1976	NUM
ap-2813	201	6	.	.	PUNCT
ap-2813	202	1	[	[	X
ap-2813	202	2	4	4	X
ap-2813	202	3	]	]	PUNCT
ap-2813	202	4	z.	z.	PROPN
ap-2813	202	5	kemblowski	kemblowski	PROPN
ap-2813	202	6	,	,	PUNCT
ap-2813	202	7	j.	j.	PROPN
ap-2813	202	8	petera	petera	PROPN
ap-2813	202	9	.	.	PUNCT
ap-2813	203	1	memory	memory	NOUN
ap-2813	203	2	effects	effect	NOUN
ap-2813	203	3	during	during	ADP
ap-2813	203	4	the	the	DET
ap-2813	203	5	flow	flow	NOUN
ap-2813	203	6	of	of	ADP
ap-2813	203	7	thixotropic	thixotropic	NOUN
ap-2813	203	8	fluids	fluid	NOUN
ap-2813	203	9	in	in	ADP
ap-2813	203	10	pipes	pipe	NOUN
ap-2813	203	11	.	.	PUNCT
ap-2813	204	1	rheologica	rheologica	PROPN
ap-2813	204	2	acta	acta	PROPN
ap-2813	204	3	20(4):311–323	20(4):311–323	PROPN
ap-2813	204	4	,	,	PUNCT
ap-2813	204	5	1981	1981	NUM
ap-2813	204	6	.	.	PUNCT
ap-2813	205	1	doi:10.1007	doi:10.1007	VERB
ap-2813	205	2	/	/	SYM
ap-2813	205	3	bf01547661	bf01547661	ADJ
ap-2813	205	4	.	.	PUNCT
ap-2813	206	1	[	[	X
ap-2813	206	2	5	5	X
ap-2813	206	3	]	]	PUNCT
ap-2813	206	4	j.	j.	PROPN
ap-2813	206	5	sestak	sestak	PROPN
ap-2813	206	6	,	,	PUNCT
ap-2813	206	7	r.	r.	PROPN
ap-2813	206	8	zitny	zitny	PROPN
ap-2813	206	9	,	,	PUNCT
ap-2813	206	10	m.	m.	NOUN
ap-2813	206	11	houska	houska	NOUN
ap-2813	206	12	.	.	PUNCT
ap-2813	206	13	dynamika	dynamika	PROPN
ap-2813	206	14	tixotropnich	tixotropnich	PROPN
ap-2813	206	15	kapalin	kapalin	PROPN
ap-2813	206	16	.	.	PROPN
ap-2813	206	17	rozpravy	rozpravy	PROPN
ap-2813	206	18	csav	csav	PROPN
ap-2813	206	19	praha	praha	PROPN
ap-2813	206	20	1990	1990	NUM
ap-2813	206	21	.	.	PUNCT
ap-2813	207	1	[	[	X
ap-2813	207	2	6	6	NUM
ap-2813	207	3	]	]	PUNCT
ap-2813	207	4	j.	j.	PROPN
ap-2813	207	5	sestak	sestak	PROPN
ap-2813	207	6	,	,	PUNCT
ap-2813	207	7	r.	r.	PROPN
ap-2813	207	8	zitny	zitny	PROPN
ap-2813	207	9	,	,	PUNCT
ap-2813	207	10	m.	m.	NOUN
ap-2813	207	11	houska	houska	NOUN
ap-2813	207	12	.	.	PUNCT
ap-2813	208	1	simple	simple	ADJ
ap-2813	208	2	rheological	rheological	ADJ
ap-2813	208	3	models	model	NOUN
ap-2813	208	4	of	of	ADP
ap-2813	208	5	food	food	NOUN
ap-2813	208	6	liquids	liquid	NOUN
ap-2813	208	7	for	for	ADP
ap-2813	208	8	process	process	NOUN
ap-2813	208	9	design	design	NOUN
ap-2813	208	10	and	and	CCONJ
ap-2813	208	11	quality	quality	NOUN
ap-2813	208	12	assessment	assessment	NOUN
ap-2813	208	13	.	.	PUNCT
ap-2813	209	1	journal	journal	NOUN
ap-2813	209	2	of	of	ADP
ap-2813	209	3	food	food	NOUN
ap-2813	209	4	engineering	engineering	NOUN
ap-2813	209	5	2(1):35–49	2(1):35–49	NUM
ap-2813	209	6	,	,	PUNCT
ap-2813	209	7	1983	1983	NUM
ap-2813	209	8	.	.	PUNCT
ap-2813	210	1	doi:10.1016/0260	doi:10.1016/0260	NOUN
ap-2813	210	2	-	-	PUNCT
ap-2813	210	3	8774(83)90005	8774(83)90005	NUM
ap-2813	210	4	-	-	SYM
ap-2813	210	5	5	5	NUM
ap-2813	210	6	.	.	PUNCT
ap-2813	211	1	[	[	X
ap-2813	211	2	7	7	X
ap-2813	211	3	]	]	X
ap-2813	211	4	r.	r.	PROPN
ap-2813	211	5	zitny	zitny	PROPN
ap-2813	211	6	.	.	PUNCT
ap-2813	211	7	nestacionarni	nestacionarni	PROPN
ap-2813	211	8	tok	tok	PROPN
ap-2813	212	1	tixotropni	tixotropni	PROPN
ap-2813	212	2	kapaliny	kapaliny	NOUN
ap-2813	212	3	v	v	ADP
ap-2813	212	4	trubce	trubce	NOUN
ap-2813	212	5	.	.	PUNCT
ap-2813	213	1	acta	acta	PROPN
ap-2813	213	2	polytechnica	polytechnica	PROPN
ap-2813	213	3	3(iv):95	3(iv):95	NUM
ap-2813	213	4	,	,	PUNCT
ap-2813	213	5	1977	1977	NUM
ap-2813	213	6	.	.	PUNCT
ap-2813	214	1	[	[	X
ap-2813	214	2	8	8	NUM
ap-2813	214	3	]	]	X
ap-2813	214	4	g.	g.	PROPN
ap-2813	214	5	m.	m.	PROPN
ap-2813	214	6	de	de	PROPN
ap-2813	214	7	oliveira	oliveira	PROPN
ap-2813	214	8	,	,	PUNCT
ap-2813	214	9	l.	l.	PROPN
ap-2813	214	10	l.	l.	PROPN
ap-2813	214	11	v.	v.	PROPN
ap-2813	214	12	da	da	PROPN
ap-2813	214	13	rocha	rocha	PROPN
ap-2813	214	14	,	,	PUNCT
ap-2813	214	15	a.	a.	PROPN
ap-2813	214	16	t.	t.	PROPN
ap-2813	214	17	franco	franco	PROPN
ap-2813	214	18	,	,	PUNCT
ap-2813	214	19	c.	c.	PROPN
ap-2813	214	20	o.	o.	PROPN
ap-2813	214	21	r.	r.	PROPN
ap-2813	214	22	negrao	negrao	PROPN
ap-2813	214	23	.	.	PUNCT
ap-2813	215	1	numerical	numerical	PROPN
ap-2813	215	2	simulation	simulation	PROPN
ap-2813	215	3	of	of	ADP
ap-2813	215	4	the	the	DET
ap-2813	215	5	start	start	NOUN
ap-2813	215	6	-	-	PUNCT
ap-2813	215	7	up	up	NOUN
ap-2813	215	8	of	of	ADP
ap-2813	215	9	bingham	bingham	PROPN
ap-2813	215	10	fluid	fluid	NOUN
ap-2813	215	11	flows	flow	NOUN
ap-2813	215	12	in	in	ADP
ap-2813	215	13	pipelines	pipeline	NOUN
ap-2813	215	14	.	.	PUNCT
ap-2813	216	1	journal	journal	PROPN
ap-2813	216	2	of	of	ADP
ap-2813	216	3	non	non	ADJ
ap-2813	216	4	-	-	ADJ
ap-2813	216	5	newtonian	newtonian	ADJ
ap-2813	216	6	fluid	fluid	ADJ
ap-2813	216	7	mechanics	mechanic	NOUN
ap-2813	216	8	165(19):1114–1128	165(19):1114–1128	NUM
ap-2813	216	9	,	,	PUNCT
ap-2813	216	10	2010	2010	NUM
ap-2813	216	11	.	.	PUNCT
ap-2813	217	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	217	2	/	/	SYM
ap-2813	217	3	j.jnnfm.2010.05.009	j.jnnfm.2010.05.009	PROPN
ap-2813	217	4	.	.	PUNCT
ap-2813	218	1	[	[	X
ap-2813	218	2	9	9	NUM
ap-2813	218	3	]	]	PUNCT
ap-2813	218	4	a.	a.	NOUN
ap-2813	218	5	wachs	wach	NOUN
ap-2813	218	6	,	,	PUNCT
ap-2813	218	7	g.	g.	PROPN
ap-2813	218	8	vinay	vinay	PROPN
ap-2813	218	9	,	,	PUNCT
ap-2813	218	10	i.	i.	PROPN
ap-2813	218	11	frigaard	frigaard	PROPN
ap-2813	218	12	.	.	PUNCT
ap-2813	219	1	a	a	DET
ap-2813	219	2	1.5d	1.5d	NUM
ap-2813	219	3	numerical	numerical	ADJ
ap-2813	219	4	model	model	NOUN
ap-2813	219	5	for	for	ADP
ap-2813	219	6	the	the	DET
ap-2813	219	7	start	start	NOUN
ap-2813	219	8	up	up	ADP
ap-2813	219	9	of	of	ADP
ap-2813	219	10	weakly	weakly	ADJ
ap-2813	219	11	compressible	compressible	ADJ
ap-2813	219	12	flow	flow	NOUN
ap-2813	219	13	of	of	ADP
ap-2813	219	14	a	a	DET
ap-2813	219	15	viscoplastic	viscoplastic	ADJ
ap-2813	219	16	and	and	CCONJ
ap-2813	219	17	thixotropic	thixotropic	ADJ
ap-2813	219	18	fluid	fluid	NOUN
ap-2813	219	19	in	in	ADP
ap-2813	219	20	pipelines	pipeline	NOUN
ap-2813	219	21	.	.	PUNCT
ap-2813	220	1	journal	journal	PROPN
ap-2813	220	2	of	of	ADP
ap-2813	220	3	non	non	ADJ
ap-2813	220	4	-	-	ADJ
ap-2813	220	5	newtonian	newtonian	ADJ
ap-2813	220	6	fluid	fluid	ADJ
ap-2813	220	7	mechanics	mechanic	NOUN
ap-2813	220	8	159(1	159(1	NUM
ap-2813	220	9	-	-	SYM
ap-2813	220	10	3):81–94	3):81–94	NUM
ap-2813	220	11	,	,	PUNCT
ap-2813	220	12	2009	2009	NUM
ap-2813	220	13	.	.	PUNCT
ap-2813	221	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	221	2	/	/	SYM
ap-2813	221	3	j.jnnfm.2009.02.002	j.jnnfm.2009.02.002	PROPN
ap-2813	221	4	.	.	PUNCT
ap-2813	222	1	[	[	X
ap-2813	222	2	10	10	NUM
ap-2813	222	3	]	]	X
ap-2813	222	4	c.	c.	PROPN
ap-2813	222	5	o.	o.	PROPN
ap-2813	222	6	r.	r.	PROPN
ap-2813	222	7	negrao	negrao	PROPN
ap-2813	222	8	,	,	PUNCT
ap-2813	222	9	a.	a.	PROPN
ap-2813	222	10	t.	t.	PROPN
ap-2813	222	11	franco	franco	PROPN
ap-2813	222	12	,	,	PUNCT
ap-2813	222	13	l.	l.	PROPN
ap-2813	222	14	l.	l.	PROPN
ap-2813	222	15	v.	v.	PROPN
ap-2813	222	16	rocha	rocha	PROPN
ap-2813	222	17	.	.	PUNCT
ap-2813	223	1	a	a	DET
ap-2813	223	2	weakly	weakly	ADJ
ap-2813	223	3	compressible	compressible	ADJ
ap-2813	223	4	flow	flow	NOUN
ap-2813	223	5	model	model	NOUN
ap-2813	223	6	for	for	ADP
ap-2813	223	7	the	the	DET
ap-2813	223	8	restart	restart	NOUN
ap-2813	223	9	of	of	ADP
ap-2813	223	10	thixotropic	thixotropic	NOUN
ap-2813	223	11	drilling	drilling	NOUN
ap-2813	223	12	fluids	fluid	NOUN
ap-2813	223	13	.	.	PUNCT
ap-2813	224	1	journal	journal	PROPN
ap-2813	224	2	of	of	ADP
ap-2813	224	3	non	non	ADJ
ap-2813	224	4	-	-	ADJ
ap-2813	224	5	newtonian	newtonian	ADJ
ap-2813	224	6	fluid	fluid	ADJ
ap-2813	224	7	mechanics	mechanic	NOUN
ap-2813	224	8	166(23	166(23	NOUN
ap-2813	224	9	-	-	NOUN
ap-2813	224	10	24):1369–1381	24):1369–1381	ADJ
ap-2813	224	11	,	,	PUNCT
ap-2813	224	12	2011	2011	NUM
ap-2813	224	13	.	.	PUNCT
ap-2813	225	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	225	2	/	/	SYM
ap-2813	225	3	j.jnnfm.2011.09.001	j.jnnfm.2011.09.001	PROPN
ap-2813	225	4	.	.	PUNCT
ap-2813	226	1	[	[	X
ap-2813	226	2	11	11	NUM
ap-2813	226	3	]	]	X
ap-2813	226	4	g.	g.	PROPN
ap-2813	226	5	vinay	vinay	PROPN
ap-2813	226	6	,	,	PUNCT
ap-2813	226	7	a.	a.	NOUN
ap-2813	226	8	wachs	wachs	PROPN
ap-2813	226	9	,	,	PUNCT
ap-2813	226	10	j.	j.	PROPN
ap-2813	226	11	f.	f.	PROPN
ap-2813	226	12	agassant	agassant	PROPN
ap-2813	226	13	.	.	PUNCT
ap-2813	227	1	numerical	numerical	PROPN
ap-2813	227	2	simulation	simulation	PROPN
ap-2813	227	3	of	of	ADP
ap-2813	227	4	weakly	weakly	ADJ
ap-2813	227	5	compressible	compressible	ADJ
ap-2813	227	6	bingham	bingham	PROPN
ap-2813	227	7	flows	flow	VERB
ap-2813	227	8	:	:	PUNCT
ap-2813	227	9	the	the	DET
ap-2813	227	10	restart	restart	NOUN
ap-2813	227	11	of	of	ADP
ap-2813	227	12	pipeline	pipeline	NOUN
ap-2813	227	13	flows	flow	NOUN
ap-2813	227	14	of	of	ADP
ap-2813	227	15	waxy	waxy	ADJ
ap-2813	227	16	crude	crude	ADJ
ap-2813	227	17	oils	oil	NOUN
ap-2813	227	18	.	.	PUNCT
ap-2813	228	1	journal	journal	NOUN
ap-2813	228	2	of	of	ADP
ap-2813	228	3	non	non	ADJ
ap-2813	228	4	-	-	ADJ
ap-2813	228	5	newtonian	newtonian	ADJ
ap-2813	228	6	fluid	fluid	ADJ
ap-2813	228	7	mechanics	mechanic	NOUN
ap-2813	228	8	136(2	136(2	NUM
ap-2813	228	9	-	-	SYM
ap-2813	228	10	3):93–105	3):93–105	NUM
ap-2813	228	11	,	,	PUNCT
ap-2813	228	12	2006	2006	NUM
ap-2813	228	13	.	.	PUNCT
ap-2813	229	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	229	2	/	/	SYM
ap-2813	229	3	j.jnnfm.2006.03.003	j.jnnfm.2006.03.003	PROPN
ap-2813	229	4	.	.	PUNCT
ap-2813	230	1	[	[	X
ap-2813	230	2	12	12	NUM
ap-2813	230	3	]	]	X
ap-2813	230	4	g.	g.	PROPN
ap-2813	230	5	vinay	vinay	PROPN
ap-2813	230	6	,	,	PUNCT
ap-2813	230	7	a.	a.	NOUN
ap-2813	230	8	wachs	wachs	PROPN
ap-2813	230	9	,	,	PUNCT
ap-2813	230	10	i.	i.	PROPN
ap-2813	230	11	frigaard	frigaard	PROPN
ap-2813	230	12	.	.	PUNCT
ap-2813	231	1	start	start	VERB
ap-2813	231	2	-	-	PUNCT
ap-2813	231	3	up	up	ADP
ap-2813	231	4	transients	transient	NOUN
ap-2813	231	5	and	and	CCONJ
ap-2813	231	6	efficient	efficient	ADJ
ap-2813	231	7	computation	computation	NOUN
ap-2813	231	8	of	of	ADP
ap-2813	231	9	isothermal	isothermal	ADJ
ap-2813	231	10	waxy	waxy	NOUN
ap-2813	231	11	crude	crude	ADJ
ap-2813	231	12	oil	oil	NOUN
ap-2813	231	13	flows	flow	NOUN
ap-2813	231	14	.	.	PUNCT
ap-2813	232	1	journal	journal	PROPN
ap-2813	232	2	of	of	ADP
ap-2813	232	3	non	non	ADJ
ap-2813	232	4	-	-	ADJ
ap-2813	232	5	newtonian	newtonian	ADJ
ap-2813	232	6	fluid	fluid	ADJ
ap-2813	232	7	mechanics	mechanic	NOUN
ap-2813	232	8	143(2	143(2	NUM
ap-2813	232	9	-	-	SYM
ap-2813	232	10	3):141–156	3):141–156	NUM
ap-2813	232	11	,	,	PUNCT
ap-2813	232	12	2007	2007	NUM
ap-2813	232	13	.	.	PUNCT
ap-2813	233	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	233	2	/	/	SYM
ap-2813	233	3	j.jnnfm.2007.02.008	j.jnnfm.2007.02.008	PROPN
ap-2813	233	4	.	.	PUNCT
ap-2813	234	1	[	[	X
ap-2813	234	2	13	13	NUM
ap-2813	234	3	]	]	PUNCT
ap-2813	234	4	j.	j.	PROPN
ap-2813	234	5	billingham	billingham	PROPN
ap-2813	234	6	,	,	PUNCT
ap-2813	234	7	j.	j.	PROPN
ap-2813	234	8	w.	w.	PROPN
ap-2813	234	9	j.	j.	PROPN
ap-2813	234	10	ferguson	ferguson	PROPN
ap-2813	234	11	.	.	PUNCT
ap-2813	235	1	laminar	laminar	ADJ
ap-2813	235	2	unidirectional	unidirectional	ADJ
ap-2813	235	3	flow	flow	NOUN
ap-2813	235	4	of	of	ADP
ap-2813	235	5	a	a	DET
ap-2813	235	6	tixotropic	tixotropic	ADJ
ap-2813	235	7	fluid	fluid	NOUN
ap-2813	235	8	in	in	ADP
ap-2813	235	9	a	a	DET
ap-2813	235	10	circular	circular	ADJ
ap-2813	235	11	pipe	pipe	NOUN
ap-2813	235	12	.	.	PUNCT
ap-2813	236	1	journal	journal	PROPN
ap-2813	236	2	of	of	ADP
ap-2813	236	3	non	non	ADJ
ap-2813	236	4	-	-	ADJ
ap-2813	236	5	newtonian	newtonian	ADJ
ap-2813	236	6	fluid	fluid	ADJ
ap-2813	236	7	mechanics	mechanic	NOUN
ap-2813	236	8	47:21–55	47:21–55	NUM
ap-2813	236	9	,	,	PUNCT
ap-2813	236	10	1993	1993	NUM
ap-2813	236	11	.	.	PUNCT
ap-2813	237	1	doi:10.1016/0377	doi:10.1016/0377	NOUN
ap-2813	237	2	-	-	PUNCT
ap-2813	237	3	0257(93)80043	0257(93)80043	NOUN
ap-2813	237	4	-	-	PUNCT
ap-2813	237	5	b.	b.	NOUN
ap-2813	238	1	[	[	X
ap-2813	238	2	14	14	NUM
ap-2813	238	3	]	]	X
ap-2813	238	4	v.	v.	ADP
ap-2813	238	5	a.	a.	PROPN
ap-2813	238	6	kumar	kumar	PROPN
ap-2813	238	7	,	,	PUNCT
ap-2813	238	8	j.	j.	PROPN
ap-2813	238	9	m.	m.	PROPN
ap-2813	238	10	caves	caves	PROPN
ap-2813	238	11	,	,	PUNCT
ap-2813	238	12	c.	c.	PROPN
ap-2813	238	13	a.	a.	PROPN
ap-2813	238	14	haller	haller	PROPN
ap-2813	238	15	,	,	PUNCT
ap-2813	238	16	et	et	PROPN
ap-2813	238	17	al	al	PROPN
ap-2813	238	18	.	.	PUNCT
ap-2813	239	1	acellular	acellular	ADJ
ap-2813	239	2	vascular	vascular	ADJ
ap-2813	239	3	grafts	graft	NOUN
ap-2813	239	4	generated	generate	VERB
ap-2813	239	5	from	from	ADP
ap-2813	239	6	collagen	collagen	NOUN
ap-2813	239	7	and	and	CCONJ
ap-2813	239	8	elastin	elastin	NOUN
ap-2813	239	9	analogs	analog	NOUN
ap-2813	239	10	.	.	PUNCT
ap-2813	240	1	acta	acta	PROPN
ap-2813	240	2	biomaterialia	biomaterialia	PROPN
ap-2813	240	3	9(9):8067–8074	9(9):8067–8074	PROPN
ap-2813	240	4	,	,	PUNCT
ap-2813	240	5	2013	2013	NUM
ap-2813	240	6	.	.	PUNCT
ap-2813	241	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	241	2	/	/	SYM
ap-2813	241	3	j.actbio.2013.05.024	j.actbio.2013.05.024	PROPN
ap-2813	241	4	.	.	PUNCT
ap-2813	242	1	[	[	X
ap-2813	242	2	15	15	NUM
ap-2813	242	3	]	]	X
ap-2813	242	4	j.	j.	PROPN
ap-2813	242	5	a.	a.	PROPN
ap-2813	242	6	deiber	deiber	PROPN
ap-2813	242	7	,	,	PUNCT
ap-2813	242	8	m.	m.	PROPN
ap-2813	242	9	b.	b.	PROPN
ap-2813	242	10	peirotti	peirotti	PROPN
ap-2813	242	11	,	,	PUNCT
ap-2813	242	12	m.	m.	NOUN
ap-2813	242	13	l.	l.	NOUN
ap-2813	242	14	ottone	ottone	NOUN
ap-2813	242	15	.	.	PUNCT
ap-2813	243	1	rheological	rheological	ADJ
ap-2813	243	2	characterization	characterization	NOUN
ap-2813	243	3	of	of	ADP
ap-2813	243	4	edible	edible	ADJ
ap-2813	243	5	films	film	NOUN
ap-2813	243	6	made	make	VERB
ap-2813	243	7	from	from	ADP
ap-2813	243	8	collagen	collagen	NOUN
ap-2813	243	9	colloidal	colloidal	NOUN
ap-2813	243	10	particle	particle	NOUN
ap-2813	243	11	suspensions	suspension	NOUN
ap-2813	243	12	.	.	PUNCT
ap-2813	244	1	food	food	NOUN
ap-2813	244	2	hydrocolloids	hydrocolloid	VERB
ap-2813	244	3	25(5):1382–1392	25(5):1382–1392	NUM
ap-2813	244	4	,	,	PUNCT
ap-2813	244	5	2011	2011	NUM
ap-2813	244	6	.	.	PUNCT
ap-2813	245	1	doi:10.1016	doi:10.1016	PROPN
ap-2813	245	2	/	/	SYM
ap-2813	245	3	j.foodhyd.2011.01.002	j.foodhyd.2011.01.002	PROPN
ap-2813	245	4	.	.	PUNCT
ap-2813	246	1	[	[	X
ap-2813	246	2	16	16	NUM
ap-2813	246	3	]	]	PUNCT
ap-2813	246	4	r.	r.	PROPN
ap-2813	246	5	zitny	zitny	PROPN
ap-2813	246	6	,	,	PUNCT
ap-2813	246	7	m.	m.	NOUN
ap-2813	246	8	houska	houska	NOUN
ap-2813	246	9	,	,	PUNCT
ap-2813	246	10	a.	a.	NOUN
ap-2813	246	11	landfeld	landfeld	PROPN
ap-2813	246	12	,	,	PUNCT
ap-2813	246	13	et	et	PROPN
ap-2813	246	14	al	al	PROPN
ap-2813	246	15	.	.	PROPN
ap-2813	246	16	possible	possible	ADJ
ap-2813	246	17	explanations	explanation	NOUN
ap-2813	246	18	of	of	ADP
ap-2813	246	19	hysteresis	hysteresis	NOUN
ap-2813	246	20	at	at	ADP
ap-2813	246	21	hydraulic	hydraulic	ADJ
ap-2813	246	22	characteristics	characteristic	NOUN
ap-2813	246	23	in	in	ADP
ap-2813	246	24	pipes	pipe	NOUN
ap-2813	246	25	.	.	PUNCT
ap-2813	247	1	in	in	ADP
ap-2813	247	2	proceedings	proceeding	NOUN
ap-2813	247	3	of	of	ADP
ap-2813	247	4	21st	21st	ADJ
ap-2813	247	5	international	international	ADJ
ap-2813	247	6	congress	congress	PROPN
ap-2813	247	7	of	of	ADP
ap-2813	247	8	chemical	chemical	NOUN
ap-2813	247	9	and	and	CCONJ
ap-2813	247	10	process	process	NOUN
ap-2813	247	11	engineering	engineering	NOUN
ap-2813	247	12	chisa	chisa	NOUN
ap-2813	247	13	23	23	NUM
ap-2813	247	14	-	-	SYM
ap-2813	247	15	27	27	NUM
ap-2813	247	16	august	august	PROPN
ap-2813	247	17	2014	2014	NUM
ap-2813	247	18	prague	prague	NOUN
ap-2813	247	19	.	.	PUNCT
ap-2813	247	20	2014	2014	NUM
ap-2813	247	21	.	.	PUNCT
ap-2813	248	1	358	358	NUM
ap-2813	248	2	http://dx.doi.org/10.1016/0377-0257(79)87001-9	http://dx.doi.org/10.1016/0377-0257(79)87001-9	NOUN
ap-2813	248	3	http://dx.doi.org/10.1016/s0377-0257(97)00004-9	http://dx.doi.org/10.1016/s0377-0257(97)00004-9	PROPN
ap-2813	248	4	http://dx.doi.org/10.1007/bf01547661	http://dx.doi.org/10.1007/bf01547661	PROPN
ap-2813	248	5	http://dx.doi.org/10.1016/0260-8774(83)90005-5	http://dx.doi.org/10.1016/0260-8774(83)90005-5	VERB
ap-2813	248	6	http://dx.doi.org/10.1016/j.jnnfm.2010.05.009	http://dx.doi.org/10.1016/j.jnnfm.2010.05.009	NOUN
ap-2813	248	7	http://dx.doi.org/10.1016/j.jnnfm.2009.02.002	http://dx.doi.org/10.1016/j.jnnfm.2009.02.002	NOUN
ap-2813	248	8	http://dx.doi.org/10.1016/j.jnnfm.2011.09.001	http://dx.doi.org/10.1016/j.jnnfm.2011.09.001	PROPN
ap-2813	248	9	http://dx.doi.org/10.1016/j.jnnfm.2006.03.003	http://dx.doi.org/10.1016/j.jnnfm.2006.03.003	PROPN
ap-2813	248	10	http://dx.doi.org/10.1016/j.jnnfm.2007.02.008	http://dx.doi.org/10.1016/j.jnnfm.2007.02.008	NOUN
ap-2813	248	11	http://dx.doi.org/10.1016/0377-0257(93)80043-b	http://dx.doi.org/10.1016/0377-0257(93)80043-b	PUNCT
ap-2813	248	12	http://dx.doi.org/10.1016/j.actbio.2013.05.024	http://dx.doi.org/10.1016/j.actbio.2013.05.024	PROPN
ap-2813	248	13	http://dx.doi.org/10.1016/j.foodhyd.2011.01.002	http://dx.doi.org/10.1016/j.foodhyd.2011.01.002	PROPN
ap-2813	248	14	acta	acta	PROPN
ap-2813	248	15	polytechnica	polytechnica	PROPN
ap-2813	248	16	55(5):352–358	55(5):352–358	PROPN
ap-2813	248	17	,	,	PUNCT
ap-2813	248	18	2015	2015	NUM
ap-2813	248	19	1	1	NUM
ap-2813	248	20	introduction	introduction	NOUN
ap-2813	248	21	2	2	NUM
ap-2813	248	22	motivation	motivation	NOUN
ap-2813	248	23	3	3	NUM
ap-2813	248	24	methods	method	NOUN
ap-2813	248	25	3.1	3.1	NUM
ap-2813	248	26	experimental	experimental	ADJ
ap-2813	248	27	setup	setup	NOUN
ap-2813	248	28	and	and	CCONJ
ap-2813	248	29	procedure	procedure	NOUN
ap-2813	248	30	3.2	3.2	NUM
ap-2813	248	31	constitutive	constitutive	ADJ
ap-2813	248	32	equation	equation	NOUN
ap-2813	248	33	3.3	3.3	NUM
ap-2813	248	34	radially	radially	ADV
ap-2813	248	35	independent	independent	ADJ
ap-2813	248	36	structural	structural	ADJ
ap-2813	248	37	parameter	parameter	NOUN
ap-2813	248	38	(	(	PUNCT
ap-2813	248	39	1d	1d	NUM
ap-2813	248	40	model	model	NOUN
ap-2813	248	41	)	)	PUNCT
ap-2813	248	42	3.3.1	3.3.1	NUM
ap-2813	248	43	flow	flow	NOUN
ap-2813	248	44	of	of	ADP
ap-2813	248	45	a	a	DET
ap-2813	248	46	herschel	herschel	NOUN
ap-2813	248	47	-	-	PUNCT
ap-2813	248	48	bulkley	bulkley	NOUN
ap-2813	248	49	fluid	fluid	NOUN
ap-2813	248	50	in	in	ADP
ap-2813	248	51	a	a	DET
ap-2813	248	52	pipe	pipe	NOUN
ap-2813	248	53	3.3.2	3.3.2	NUM
ap-2813	248	54	flow	flow	NOUN
ap-2813	248	55	of	of	ADP
ap-2813	248	56	a	a	DET
ap-2813	248	57	herschel	herschel	NOUN
ap-2813	248	58	-	-	PUNCT
ap-2813	248	59	bulkley	bulkley	NOUN
ap-2813	248	60	fluid	fluid	NOUN
ap-2813	248	61	in	in	ADP
ap-2813	248	62	a	a	DET
ap-2813	248	63	pipe	pipe	NOUN
ap-2813	248	64	3.4	3.4	NUM
ap-2813	248	65	2d	2d	NUM
ap-2813	248	66	model	model	NOUN
ap-2813	248	67	of	of	ADP
ap-2813	248	68	velocities	velocity	NOUN
ap-2813	248	69	and	and	CCONJ
ap-2813	248	70	structural	structural	ADJ
ap-2813	248	71	parameter	parameter	NOUN
ap-2813	248	72	profiles	profile	NOUN
ap-2813	248	73	(	(	PUNCT
ap-2813	248	74	finite	finite	PROPN
ap-2813	248	75	differences	difference	NOUN
ap-2813	248	76	)	)	PUNCT
ap-2813	248	77	4	4	NUM
ap-2813	248	78	results	result	NOUN
ap-2813	248	79	and	and	CCONJ
ap-2813	248	80	discussion	discussion	NOUN
ap-2813	248	81	5	5	NUM
ap-2813	248	82	conclusions	conclusion	NOUN
ap-2813	248	83	6	6	NUM
ap-2813	248	84	appendix	appendix	VERB
ap-2813	248	85	acknowledgements	acknowledgement	NOUN
ap-2813	248	86	list	list	NOUN
ap-2813	248	87	of	of	ADP
ap-2813	248	88	symbols	symbol	NOUN
ap-2813	248	89	references	reference	NOUN