id	sid	tid	token	lemma	pos
ap-8601	1	1	acta	acta	PROPN
ap-8601	1	2	polytechnica	polytechnica	PROPN
ap-8601	1	3	https://doi.org/10.14311/ap.2023.63.0439	https://doi.org/10.14311/ap.2023.63.0439	PROPN
ap-8601	1	4	acta	acta	PROPN
ap-8601	1	5	polytechnica	polytechnica	PROPN
ap-8601	1	6	63(6):439–450	63(6):439–450	PROPN
ap-8601	1	7	,	,	PUNCT
ap-8601	1	8	2023	2023	NUM
ap-8601	1	9	©	©	ADP
ap-8601	1	10	2023	2023	NUM
ap-8601	1	11	the	the	DET
ap-8601	1	12	author(s	author(s	NOUN
ap-8601	1	13	)	)	PUNCT
ap-8601	1	14	.	.	PUNCT
ap-8601	2	1	licensed	license	VERB
ap-8601	2	2	under	under	ADP
ap-8601	2	3	a	a	DET
ap-8601	2	4	cc	cc	NOUN
ap-8601	2	5	-	-	PUNCT
ap-8601	2	6	by	by	ADP
ap-8601	2	7	4.0	4.0	NUM
ap-8601	2	8	licence	licence	NOUN
ap-8601	2	9	published	publish	VERB
ap-8601	2	10	by	by	ADP
ap-8601	2	11	the	the	DET
ap-8601	2	12	czech	czech	PROPN
ap-8601	2	13	technical	technical	PROPN
ap-8601	2	14	university	university	PROPN
ap-8601	2	15	in	in	ADP
ap-8601	2	16	prague	prague	PROPN
ap-8601	2	17	semi	semi	ADJ
ap-8601	2	18	-	-	ADJ
ap-8601	2	19	analytical	analytical	ADJ
ap-8601	2	20	approach	approach	NOUN
ap-8601	2	21	-	-	PUNCT
ap-8601	2	22	based	base	VERB
ap-8601	2	23	studies	study	NOUN
ap-8601	2	24	of	of	ADP
ap-8601	2	25	the	the	DET
ap-8601	2	26	squeeze	squeeze	NOUN
ap-8601	2	27	film	film	NOUN
ap-8601	2	28	lubrication	lubrication	NOUN
ap-8601	2	29	between	between	ADP
ap-8601	2	30	rough	rough	ADJ
ap-8601	2	31	porous	porous	ADJ
ap-8601	2	32	annular	annular	ADJ
ap-8601	2	33	discs	disc	NOUN
ap-8601	2	34	:	:	PUNCT
ap-8601	2	35	rabinowitsch	rabinowitsch	ADJ
ap-8601	2	36	fluid	fluid	PROPN
ap-8601	2	37	model	model	NOUN
ap-8601	2	38	amit	amit	PROPN
ap-8601	2	39	kumar	kumar	PROPN
ap-8601	2	40	rahula,∗	rahula,∗	PROPN
ap-8601	2	41	,	,	PUNCT
ap-8601	2	42	manoj	manoj	PROPN
ap-8601	2	43	kumar	kumar	PROPN
ap-8601	2	44	singha	singha	PROPN
ap-8601	2	45	,	,	PUNCT
ap-8601	2	46	ravi	ravi	PROPN
ap-8601	2	47	tiwarib	tiwarib	PROPN
ap-8601	2	48	,	,	PUNCT
ap-8601	2	49	sourabh	sourabh	NOUN
ap-8601	2	50	paulb	paulb	NOUN
ap-8601	2	51	,	,	PUNCT
ap-8601	2	52	pentyala	pentyala	PROPN
ap-8601	2	53	srinivasa	srinivasa	PROPN
ap-8601	2	54	raoc	raoc	PROPN
ap-8601	2	55	,	,	PUNCT
ap-8601	2	56	rohahn	rohahn	VERB
ap-8601	2	57	biswasd	biswasd	NOUN
ap-8601	2	58	a	a	DET
ap-8601	2	59	vellore	vellore	PROPN
ap-8601	2	60	institute	institute	NOUN
ap-8601	2	61	of	of	ADP
ap-8601	2	62	technology	technology	NOUN
ap-8601	2	63	,	,	PUNCT
ap-8601	2	64	school	school	NOUN
ap-8601	2	65	of	of	ADP
ap-8601	2	66	advanced	advanced	ADJ
ap-8601	2	67	sciences	science	NOUN
ap-8601	2	68	(	(	PUNCT
ap-8601	2	69	sas	sas	PROPN
ap-8601	2	70	)	)	PUNCT
ap-8601	2	71	,	,	PUNCT
ap-8601	2	72	division	division	NOUN
ap-8601	2	73	of	of	ADP
ap-8601	2	74	mathematics	mathematic	NOUN
ap-8601	2	75	,	,	PUNCT
ap-8601	2	76	chennai	chennai	PROPN
ap-8601	2	77	600127	600127	NUM
ap-8601	2	78	,	,	PUNCT
ap-8601	2	79	tamil	tamil	PROPN
ap-8601	2	80	nadu	nadu	PROPN
ap-8601	2	81	,	,	PUNCT
ap-8601	2	82	india	india	PROPN
ap-8601	2	83	b	b	PROPN
ap-8601	2	84	vellore	vellore	PROPN
ap-8601	2	85	institute	institute	PROPN
ap-8601	2	86	of	of	ADP
ap-8601	2	87	technology	technology	NOUN
ap-8601	2	88	,	,	PUNCT
ap-8601	2	89	school	school	NOUN
ap-8601	2	90	of	of	ADP
ap-8601	2	91	electronics	electronics	NOUN
ap-8601	2	92	engineering	engineering	NOUN
ap-8601	2	93	(	(	PUNCT
ap-8601	2	94	sense	sense	NOUN
ap-8601	2	95	)	)	PUNCT
ap-8601	2	96	,	,	PUNCT
ap-8601	2	97	chennai	chennai	PROPN
ap-8601	2	98	600127	600127	NUM
ap-8601	2	99	,	,	PUNCT
ap-8601	2	100	tamil	tamil	PROPN
ap-8601	2	101	nadu	nadu	PROPN
ap-8601	2	102	,	,	PUNCT
ap-8601	2	103	india	india	PROPN
ap-8601	2	104	c	c	PROPN
ap-8601	2	105	indian	indian	PROPN
ap-8601	2	106	institute	institute	PROPN
ap-8601	2	107	of	of	ADP
ap-8601	2	108	technology	technology	PROPN
ap-8601	2	109	,	,	PUNCT
ap-8601	2	110	department	department	NOUN
ap-8601	2	111	of	of	ADP
ap-8601	2	112	mathematics	mathematics	PROPN
ap-8601	2	113	&	&	CCONJ
ap-8601	2	114	computing	computing	PROPN
ap-8601	2	115	,	,	PUNCT
ap-8601	2	116	dhanbad	dhanbad	PROPN
ap-8601	2	117	,	,	PUNCT
ap-8601	2	118	826004	826004	NUM
ap-8601	2	119	,	,	PUNCT
ap-8601	2	120	india	india	PROPN
ap-8601	2	121	d	d	PROPN
ap-8601	2	122	vellore	vellore	PROPN
ap-8601	2	123	institute	institute	PROPN
ap-8601	2	124	of	of	ADP
ap-8601	2	125	technology	technology	NOUN
ap-8601	2	126	,	,	PUNCT
ap-8601	2	127	school	school	NOUN
ap-8601	2	128	of	of	ADP
ap-8601	2	129	electrical	electrical	ADJ
ap-8601	2	130	engineering	engineering	NOUN
ap-8601	2	131	(	(	PUNCT
ap-8601	2	132	select	select	ADJ
ap-8601	2	133	)	)	PUNCT
ap-8601	2	134	,	,	PUNCT
ap-8601	2	135	chennai	chennai	PROPN
ap-8601	2	136	600127	600127	NUM
ap-8601	2	137	,	,	PUNCT
ap-8601	2	138	tamil	tamil	PROPN
ap-8601	2	139	nadu	nadu	PROPN
ap-8601	2	140	,	,	PUNCT
ap-8601	2	141	india	india	PROPN
ap-8601	2	142	∗	∗	NOUN
ap-8601	2	143	corresponding	correspond	VERB
ap-8601	2	144	author	author	NOUN
ap-8601	2	145	:	:	PUNCT
ap-8601	2	146	akrahulism@gmail.com	akrahulism@gmail.com	X
ap-8601	3	1	abstract	abstract	ADJ
ap-8601	3	2	.	.	PUNCT
ap-8601	4	1	in	in	ADP
ap-8601	4	2	recent	recent	ADJ
ap-8601	4	3	years	year	NOUN
ap-8601	4	4	,	,	PUNCT
ap-8601	4	5	there	there	PRON
ap-8601	4	6	has	have	AUX
ap-8601	4	7	been	be	AUX
ap-8601	4	8	much	much	ADJ
ap-8601	4	9	interest	interest	NOUN
ap-8601	4	10	in	in	ADP
ap-8601	4	11	the	the	DET
ap-8601	4	12	effects	effect	NOUN
ap-8601	4	13	of	of	ADP
ap-8601	4	14	porosity	porosity	NOUN
ap-8601	4	15	and	and	CCONJ
ap-8601	4	16	surface	surface	NOUN
ap-8601	4	17	roughness	roughness	NOUN
ap-8601	4	18	(	(	PUNCT
ap-8601	4	19	sr	sr	PROPN
ap-8601	4	20	)	)	PUNCT
ap-8601	4	21	or	or	CCONJ
ap-8601	4	22	geometric	geometric	ADJ
ap-8601	4	23	irregularities	irregularity	NOUN
ap-8601	4	24	between	between	ADP
ap-8601	4	25	two	two	NUM
ap-8601	4	26	moving	move	VERB
ap-8601	4	27	plates	plate	NOUN
ap-8601	4	28	under	under	ADP
ap-8601	4	29	hydrodynamic	hydrodynamic	ADJ
ap-8601	4	30	lubrication	lubrication	NOUN
ap-8601	4	31	.	.	PUNCT
ap-8601	5	1	porous	porous	ADJ
ap-8601	5	2	bearings	bearing	NOUN
ap-8601	5	3	are	be	AUX
ap-8601	5	4	used	use	VERB
ap-8601	5	5	extensively	extensively	ADV
ap-8601	5	6	in	in	ADP
ap-8601	5	7	wide	wide	ADJ
ap-8601	5	8	range	range	NOUN
ap-8601	5	9	of	of	ADP
ap-8601	5	10	equipment	equipment	NOUN
ap-8601	5	11	,	,	PUNCT
ap-8601	5	12	including	include	VERB
ap-8601	5	13	computers	computer	NOUN
ap-8601	5	14	,	,	PUNCT
ap-8601	5	15	office	office	NOUN
ap-8601	5	16	equipment	equipment	NOUN
ap-8601	5	17	,	,	PUNCT
ap-8601	5	18	home	home	NOUN
ap-8601	5	19	appliances	appliance	NOUN
ap-8601	5	20	,	,	PUNCT
ap-8601	5	21	electric	electric	ADJ
ap-8601	5	22	motors	motor	NOUN
ap-8601	5	23	,	,	PUNCT
ap-8601	5	24	and	and	CCONJ
ap-8601	5	25	vehicles	vehicle	NOUN
ap-8601	5	26	.	.	PUNCT
ap-8601	6	1	in	in	ADP
ap-8601	6	2	light	light	NOUN
ap-8601	6	3	of	of	ADP
ap-8601	6	4	the	the	DET
ap-8601	6	5	importance	importance	NOUN
ap-8601	6	6	of	of	ADP
ap-8601	6	7	the	the	DET
ap-8601	6	8	aforementioned	aforementioned	ADJ
ap-8601	6	9	applications	application	NOUN
ap-8601	6	10	,	,	PUNCT
ap-8601	6	11	we	we	PRON
ap-8601	6	12	explored	explore	VERB
ap-8601	6	13	how	how	SCONJ
ap-8601	6	14	sr	sr	PROPN
ap-8601	6	15	and	and	CCONJ
ap-8601	6	16	porous	porous	ADJ
ap-8601	6	17	materials	material	NOUN
ap-8601	6	18	affect	affect	VERB
ap-8601	6	19	annular	annular	ADJ
ap-8601	6	20	discs	disc	NOUN
ap-8601	6	21	under	under	ADP
ap-8601	6	22	the	the	DET
ap-8601	6	23	condition	condition	NOUN
ap-8601	6	24	of	of	ADP
ap-8601	6	25	a	a	DET
ap-8601	6	26	squeeze	squeeze	NOUN
ap-8601	6	27	film	film	NOUN
ap-8601	6	28	.	.	PUNCT
ap-8601	7	1	a	a	DET
ap-8601	7	2	five	five	NUM
ap-8601	7	3	-	-	PUNCT
ap-8601	7	4	point	point	NOUN
ap-8601	7	5	gauss	gauss	ADJ
ap-8601	7	6	quadrature	quadrature	NOUN
ap-8601	7	7	integral	integral	ADJ
ap-8601	7	8	formula	formula	NOUN
ap-8601	7	9	has	have	AUX
ap-8601	7	10	been	be	AUX
ap-8601	7	11	used	use	VERB
ap-8601	7	12	to	to	PART
ap-8601	7	13	examine	examine	VERB
ap-8601	7	14	the	the	DET
ap-8601	7	15	characteristics	characteristic	NOUN
ap-8601	7	16	of	of	ADP
ap-8601	7	17	annular	annular	ADJ
ap-8601	7	18	discs	disc	NOUN
ap-8601	7	19	and	and	CCONJ
ap-8601	7	20	a	a	DET
ap-8601	7	21	small	small	ADJ
ap-8601	7	22	perturbation	perturbation	NOUN
ap-8601	7	23	method	method	NOUN
ap-8601	7	24	has	have	AUX
ap-8601	7	25	been	be	AUX
ap-8601	7	26	used	use	VERB
ap-8601	7	27	to	to	PART
ap-8601	7	28	discretise	discretise	VERB
ap-8601	7	29	the	the	DET
ap-8601	7	30	governing	govern	VERB
ap-8601	7	31	rabinowitsch	rabinowitsch	ADJ
ap-8601	7	32	fluid	fluid	NOUN
ap-8601	7	33	flow	flow	NOUN
ap-8601	7	34	(	(	PUNCT
ap-8601	7	35	rff	rff	NOUN
ap-8601	7	36	)	)	PUNCT
ap-8601	7	37	equations	equation	NOUN
ap-8601	7	38	.	.	PUNCT
ap-8601	8	1	the	the	DET
ap-8601	8	2	impact	impact	NOUN
ap-8601	8	3	of	of	ADP
ap-8601	8	4	nonlinear	nonlinear	ADJ
ap-8601	8	5	parameters	parameter	NOUN
ap-8601	8	6	on	on	ADP
ap-8601	8	7	the	the	DET
ap-8601	8	8	behaviour	behaviour	NOUN
ap-8601	8	9	of	of	ADP
ap-8601	8	10	porosity	porosity	NOUN
ap-8601	8	11	and	and	CCONJ
ap-8601	8	12	sr	sr	PROPN
ap-8601	8	13	have	have	AUX
ap-8601	8	14	been	be	AUX
ap-8601	8	15	visualised	visualise	VERB
ap-8601	8	16	in	in	ADP
ap-8601	8	17	terms	term	NOUN
ap-8601	8	18	of	of	ADP
ap-8601	8	19	film	film	NOUN
ap-8601	8	20	pressure	pressure	NOUN
ap-8601	8	21	(	(	PUNCT
ap-8601	8	22	fp	fp	NOUN
ap-8601	8	23	)	)	PUNCT
ap-8601	8	24	,	,	PUNCT
ap-8601	8	25	load	load	NOUN
ap-8601	8	26	carrying	carry	VERB
ap-8601	8	27	capacity	capacity	NOUN
ap-8601	8	28	(	(	PUNCT
ap-8601	8	29	lcc	lcc	PROPN
ap-8601	8	30	)	)	PUNCT
ap-8601	8	31	,	,	PUNCT
ap-8601	8	32	and	and	CCONJ
ap-8601	8	33	squeeze	squeeze	VERB
ap-8601	8	34	response	response	NOUN
ap-8601	8	35	time	time	NOUN
ap-8601	8	36	(	(	PUNCT
ap-8601	8	37	srt	srt	NOUN
ap-8601	8	38	)	)	PUNCT
ap-8601	8	39	of	of	ADP
ap-8601	8	40	annular	annular	ADJ
ap-8601	8	41	discs	disc	NOUN
ap-8601	8	42	.	.	PUNCT
ap-8601	9	1	under	under	ADP
ap-8601	9	2	the	the	DET
ap-8601	9	3	conditions	condition	NOUN
ap-8601	9	4	of	of	ADP
ap-8601	9	5	pseudoplastic	pseudoplastic	ADJ
ap-8601	9	6	and	and	CCONJ
ap-8601	9	7	dilatant	dilatant	ADJ
ap-8601	9	8	fluids	fluid	NOUN
ap-8601	9	9	,	,	PUNCT
ap-8601	9	10	the	the	DET
ap-8601	9	11	effects	effect	NOUN
ap-8601	9	12	of	of	ADP
ap-8601	9	13	sr	sr	PROPN
ap-8601	9	14	and	and	CCONJ
ap-8601	9	15	porous	porous	ADJ
ap-8601	9	16	materials	material	NOUN
ap-8601	9	17	between	between	ADP
ap-8601	9	18	annular	annular	ADJ
ap-8601	9	19	discs	disc	NOUN
ap-8601	9	20	have	have	AUX
ap-8601	9	21	been	be	AUX
ap-8601	9	22	estimated	estimate	VERB
ap-8601	9	23	in	in	ADP
ap-8601	9	24	the	the	DET
ap-8601	9	25	form	form	NOUN
ap-8601	9	26	of	of	ADP
ap-8601	9	27	the	the	DET
ap-8601	9	28	film	film	NOUN
ap-8601	9	29	pressure	pressure	NOUN
ap-8601	9	30	,	,	PUNCT
ap-8601	9	31	lcc	lcc	PROPN
ap-8601	9	32	,	,	PUNCT
ap-8601	9	33	and	and	CCONJ
ap-8601	9	34	srt	srt	NOUN
ap-8601	9	35	and	and	CCONJ
ap-8601	9	36	are	be	AUX
ap-8601	9	37	presented	present	VERB
ap-8601	9	38	in	in	ADP
ap-8601	9	39	this	this	DET
ap-8601	9	40	manuscript	manuscript	NOUN
ap-8601	9	41	as	as	ADP
ap-8601	9	42	tables	table	NOUN
ap-8601	9	43	and	and	CCONJ
ap-8601	9	44	graphs	graph	NOUN
ap-8601	9	45	.	.	PUNCT
ap-8601	10	1	according	accord	VERB
ap-8601	10	2	to	to	ADP
ap-8601	10	3	the	the	DET
ap-8601	10	4	findings	finding	NOUN
ap-8601	10	5	,	,	PUNCT
ap-8601	10	6	the	the	DET
ap-8601	10	7	performance	performance	NOUN
ap-8601	10	8	of	of	ADP
ap-8601	10	9	an	an	DET
ap-8601	10	10	annular	annular	ADJ
ap-8601	10	11	disc	disc	NOUN
ap-8601	10	12	is	be	AUX
ap-8601	10	13	significantly	significantly	ADV
ap-8601	10	14	affected	affect	VERB
ap-8601	10	15	by	by	ADP
ap-8601	10	16	porous	porous	ADJ
ap-8601	10	17	material	material	NOUN
ap-8601	10	18	and	and	CCONJ
ap-8601	10	19	radial	radial	ADJ
ap-8601	10	20	roughness	roughness	NOUN
ap-8601	10	21	patterns	pattern	NOUN
ap-8601	10	22	.	.	PUNCT
ap-8601	11	1	in	in	ADP
ap-8601	11	2	addition	addition	NOUN
ap-8601	11	3	,	,	PUNCT
ap-8601	11	4	when	when	SCONJ
ap-8601	11	5	rff	rff	NOUN
ap-8601	11	6	is	be	AUX
ap-8601	11	7	carried	carry	VERB
ap-8601	11	8	through	through	ADP
ap-8601	11	9	a	a	DET
ap-8601	11	10	rough	rough	ADJ
ap-8601	11	11	surface	surface	NOUN
ap-8601	11	12	and	and	CCONJ
ap-8601	11	13	porous	porous	ADJ
ap-8601	11	14	media	medium	NOUN
ap-8601	11	15	,	,	PUNCT
ap-8601	11	16	the	the	DET
ap-8601	11	17	performance	performance	NOUN
ap-8601	11	18	is	be	AUX
ap-8601	11	19	found	find	VERB
ap-8601	11	20	to	to	PART
ap-8601	11	21	improve	improve	VERB
ap-8601	11	22	for	for	ADP
ap-8601	11	23	dilatant	dilatant	ADJ
ap-8601	11	24	fluids	fluid	NOUN
ap-8601	11	25	but	but	CCONJ
ap-8601	11	26	suffer	suffer	VERB
ap-8601	11	27	for	for	ADP
ap-8601	11	28	pseudoplastic	pseudoplastic	ADJ
ap-8601	11	29	fluids	fluid	NOUN
ap-8601	11	30	.	.	PUNCT
ap-8601	12	1	keywords	keyword	NOUN
ap-8601	12	2	:	:	PUNCT
ap-8601	12	3	annular	annular	ADJ
ap-8601	12	4	discs	disc	NOUN
ap-8601	12	5	,	,	PUNCT
ap-8601	12	6	squeeze	squeeze	NOUN
ap-8601	12	7	film	film	NOUN
ap-8601	12	8	,	,	PUNCT
ap-8601	12	9	rabinowitsch	rabinowitsch	ADJ
ap-8601	12	10	fluid	fluid	ADJ
ap-8601	12	11	model	model	NOUN
ap-8601	12	12	,	,	PUNCT
ap-8601	12	13	surface	surface	NOUN
ap-8601	12	14	roughness	roughness	NOUN
ap-8601	12	15	,	,	PUNCT
ap-8601	12	16	porous	porous	ADJ
ap-8601	12	17	wall	wall	NOUN
ap-8601	12	18	.	.	PUNCT
ap-8601	13	1	1	1	X
ap-8601	13	2	.	.	X
ap-8601	13	3	introduction	introduction	NOUN
ap-8601	13	4	squeeze	squeeze	NOUN
ap-8601	13	5	film	film	NOUN
ap-8601	13	6	(	(	PUNCT
ap-8601	13	7	sf	sf	NOUN
ap-8601	13	8	)	)	PUNCT
ap-8601	13	9	is	be	AUX
ap-8601	13	10	used	use	VERB
ap-8601	13	11	in	in	ADP
ap-8601	13	12	a	a	DET
ap-8601	13	13	variety	variety	NOUN
ap-8601	13	14	of	of	ADP
ap-8601	13	15	applications	application	NOUN
ap-8601	13	16	,	,	PUNCT
ap-8601	13	17	such	such	ADJ
ap-8601	13	18	as	as	ADP
ap-8601	13	19	turbomachinery	turbomachinery	NOUN
ap-8601	13	20	,	,	PUNCT
ap-8601	13	21	disc	disc	NOUN
ap-8601	13	22	clutches	clutch	NOUN
ap-8601	13	23	,	,	PUNCT
ap-8601	13	24	and	and	CCONJ
ap-8601	13	25	viscouslock	viscouslock	NOUN
ap-8601	13	26	systems	system	NOUN
ap-8601	13	27	.	.	PUNCT
ap-8601	14	1	recently	recently	ADV
ap-8601	14	2	,	,	PUNCT
ap-8601	14	3	there	there	PRON
ap-8601	14	4	has	have	AUX
ap-8601	14	5	been	be	AUX
ap-8601	14	6	a	a	DET
ap-8601	14	7	significant	significant	ADJ
ap-8601	14	8	increase	increase	NOUN
ap-8601	14	9	in	in	ADP
ap-8601	14	10	interest	interest	NOUN
ap-8601	14	11	in	in	ADP
ap-8601	14	12	this	this	DET
ap-8601	14	13	area	area	NOUN
ap-8601	14	14	.	.	PUNCT
ap-8601	15	1	the	the	DET
ap-8601	15	2	performance	performance	NOUN
ap-8601	15	3	of	of	ADP
ap-8601	15	4	annular	annular	ADJ
ap-8601	15	5	plates	plate	NOUN
ap-8601	15	6	under	under	ADP
ap-8601	15	7	sf	sf	PROPN
ap-8601	15	8	has	have	AUX
ap-8601	15	9	been	be	AUX
ap-8601	15	10	studied	study	VERB
ap-8601	15	11	under	under	ADP
ap-8601	15	12	newtonian	newtonian	ADJ
ap-8601	15	13	fluids	fluid	NOUN
ap-8601	15	14	(	(	PUNCT
ap-8601	15	15	nf	nf	ADJ
ap-8601	15	16	)	)	PUNCT
ap-8601	15	17	and	and	CCONJ
ap-8601	15	18	non	non	ADJ
ap-8601	15	19	-	-	ADJ
ap-8601	15	20	newtonian	newtonian	ADJ
ap-8601	15	21	fluids	fluid	NOUN
ap-8601	15	22	(	(	PUNCT
ap-8601	15	23	nnf	nnf	NOUN
ap-8601	15	24	)	)	PUNCT
ap-8601	15	25	by	by	ADP
ap-8601	15	26	allen	allen	PROPN
ap-8601	15	27	and	and	CCONJ
ap-8601	15	28	mckillop	mckillop	PROPN
ap-8601	16	1	[	[	X
ap-8601	16	2	1	1	NUM
ap-8601	16	3	]	]	PUNCT
ap-8601	16	4	,	,	PUNCT
ap-8601	16	5	and	and	CCONJ
ap-8601	16	6	naduvinamani	naduvinamani	PROPN
ap-8601	16	7	et	et	PROPN
ap-8601	16	8	al	al	PROPN
ap-8601	16	9	.	.	PUNCT
ap-8601	17	1	[	[	X
ap-8601	17	2	2	2	NUM
ap-8601	17	3	]	]	PUNCT
ap-8601	17	4	.	.	PUNCT
ap-8601	18	1	it	it	PRON
ap-8601	18	2	has	have	AUX
ap-8601	18	3	been	be	AUX
ap-8601	18	4	discovered	discover	VERB
ap-8601	18	5	that	that	SCONJ
ap-8601	18	6	squeeze	squeeze	NOUN
ap-8601	18	7	film	film	NOUN
ap-8601	18	8	(	(	PUNCT
ap-8601	18	9	sf	sf	NOUN
ap-8601	18	10	)	)	PUNCT
ap-8601	18	11	increases	increase	VERB
ap-8601	18	12	the	the	DET
ap-8601	18	13	efficiency	efficiency	NOUN
ap-8601	18	14	and	and	CCONJ
ap-8601	18	15	reliability	reliability	NOUN
ap-8601	18	16	of	of	ADP
ap-8601	18	17	bearings	bearing	NOUN
ap-8601	18	18	while	while	SCONJ
ap-8601	18	19	also	also	ADV
ap-8601	18	20	prolonging	prolong	VERB
ap-8601	18	21	their	their	PRON
ap-8601	18	22	lifespan	lifespan	NOUN
ap-8601	18	23	.	.	PUNCT
ap-8601	19	1	the	the	DET
ap-8601	19	2	nf	nf	NOUN
ap-8601	19	3	is	be	AUX
ap-8601	19	4	a	a	DET
ap-8601	19	5	broad	broad	ADJ
ap-8601	19	6	term	term	NOUN
ap-8601	19	7	for	for	ADP
ap-8601	19	8	the	the	DET
ap-8601	19	9	linear	linear	ADJ
ap-8601	19	10	relationship	relationship	NOUN
ap-8601	19	11	between	between	ADP
ap-8601	19	12	shear	shear	NOUN
ap-8601	19	13	strain	strain	NOUN
ap-8601	19	14	and	and	CCONJ
ap-8601	19	15	the	the	DET
ap-8601	19	16	rate	rate	NOUN
ap-8601	19	17	of	of	ADP
ap-8601	19	18	change	change	NOUN
ap-8601	19	19	.	.	PUNCT
ap-8601	20	1	experimental	experimental	ADJ
ap-8601	20	2	research	research	NOUN
ap-8601	20	3	has	have	AUX
ap-8601	20	4	shown	show	VERB
ap-8601	20	5	that	that	SCONJ
ap-8601	20	6	novel	novel	ADJ
ap-8601	20	7	fluids	fluid	NOUN
ap-8601	20	8	can	can	AUX
ap-8601	20	9	be	be	AUX
ap-8601	20	10	constructed	construct	VERB
ap-8601	20	11	from	from	ADP
ap-8601	20	12	an	an	DET
ap-8601	20	13	nf	nf	NOUN
ap-8601	20	14	to	to	PART
ap-8601	20	15	include	include	VERB
ap-8601	20	16	some	some	DET
ap-8601	20	17	additional	additional	ADJ
ap-8601	20	18	components	component	NOUN
ap-8601	20	19	that	that	PRON
ap-8601	20	20	behave	behave	VERB
ap-8601	20	21	as	as	ADP
ap-8601	20	22	an	an	DET
ap-8601	20	23	nnf	nnf	NOUN
ap-8601	20	24	.	.	PUNCT
ap-8601	21	1	they	they	PRON
ap-8601	21	2	consist	consist	VERB
ap-8601	21	3	of	of	ADP
ap-8601	21	4	high	high	ADJ
ap-8601	21	5	-	-	PUNCT
ap-8601	21	6	molecular	molecular	ADJ
ap-8601	21	7	-	-	PUNCT
ap-8601	21	8	weight	weight	NOUN
ap-8601	21	9	polymers	polymer	NOUN
ap-8601	21	10	,	,	PUNCT
ap-8601	21	11	viscosity	viscosity	NOUN
ap-8601	21	12	index	index	NOUN
ap-8601	21	13	improvers	improver	NOUN
ap-8601	21	14	,	,	PUNCT
ap-8601	21	15	polyisobutylene	polyisobutylene	NOUN
ap-8601	21	16	,	,	PUNCT
ap-8601	21	17	etc	etc	X
ap-8601	21	18	.	.	X
ap-8601	21	19	(	(	PUNCT
ap-8601	21	20	spike	spike	X
ap-8601	22	1	[	[	X
ap-8601	22	2	3	3	NUM
ap-8601	22	3	]	]	NUM
ap-8601	22	4	)	)	PUNCT
ap-8601	22	5	.	.	PUNCT
ap-8601	23	1	the	the	DET
ap-8601	23	2	non	non	ADJ
ap-8601	23	3	-	-	ADJ
ap-8601	23	4	newtonian	newtonian	ADJ
ap-8601	23	5	fluids	fluid	NOUN
ap-8601	23	6	(	(	PUNCT
ap-8601	23	7	nnf	nnf	NOUN
ap-8601	23	8	)	)	PUNCT
ap-8601	23	9	have	have	VERB
ap-8601	23	10	a	a	DET
ap-8601	23	11	non	non	ADJ
ap-8601	23	12	-	-	ADJ
ap-8601	23	13	linear	linear	ADJ
ap-8601	23	14	relationship	relationship	NOUN
ap-8601	23	15	with	with	ADP
ap-8601	23	16	both	both	CCONJ
ap-8601	23	17	the	the	DET
ap-8601	23	18	rate	rate	NOUN
ap-8601	23	19	of	of	ADP
ap-8601	23	20	shear	shear	NOUN
ap-8601	23	21	strain	strain	NOUN
ap-8601	23	22	and	and	CCONJ
ap-8601	23	23	the	the	DET
ap-8601	23	24	shear	shear	NOUN
ap-8601	23	25	stress	stress	NOUN
ap-8601	23	26	.	.	PUNCT
ap-8601	24	1	different	different	ADJ
ap-8601	24	2	nnf	nnf	NOUN
ap-8601	24	3	models	model	NOUN
ap-8601	24	4	,	,	PUNCT
ap-8601	24	5	such	such	ADJ
ap-8601	24	6	as	as	ADP
ap-8601	24	7	the	the	DET
ap-8601	24	8	powerlaw	powerlaw	NOUN
ap-8601	24	9	fluid	fluid	NOUN
ap-8601	24	10	model	model	NOUN
ap-8601	24	11	,	,	PUNCT
ap-8601	24	12	rabinowitsch	rabinowitsch	ADJ
ap-8601	24	13	fluid	fluid	ADJ
ap-8601	24	14	model	model	NOUN
ap-8601	24	15	(	(	PUNCT
ap-8601	24	16	rfm	rfm	PROPN
ap-8601	24	17	)	)	PUNCT
ap-8601	24	18	,	,	PUNCT
ap-8601	24	19	and	and	CCONJ
ap-8601	24	20	couple	couple	NOUN
ap-8601	24	21	-	-	PUNCT
ap-8601	24	22	stress	stress	NOUN
ap-8601	24	23	fluid	fluid	NOUN
ap-8601	24	24	model	model	NOUN
ap-8601	24	25	,	,	PUNCT
ap-8601	24	26	have	have	AUX
ap-8601	24	27	been	be	AUX
ap-8601	24	28	tested	test	VERB
ap-8601	24	29	by	by	ADP
ap-8601	24	30	a	a	DET
ap-8601	24	31	number	number	NOUN
ap-8601	24	32	of	of	ADP
ap-8601	24	33	tribologists	tribologist	NOUN
ap-8601	24	34	to	to	PART
ap-8601	24	35	investigate	investigate	VERB
ap-8601	24	36	the	the	DET
ap-8601	24	37	performance	performance	NOUN
ap-8601	24	38	of	of	ADP
ap-8601	24	39	bearings	bearing	NOUN
ap-8601	24	40	.	.	PUNCT
ap-8601	25	1	lin	lin	PROPN
ap-8601	25	2	and	and	CCONJ
ap-8601	25	3	hung	hang	VERB
ap-8601	25	4	[	[	X
ap-8601	25	5	4	4	X
ap-8601	25	6	]	]	PUNCT
ap-8601	25	7	have	have	AUX
ap-8601	25	8	investigated	investigate	VERB
ap-8601	25	9	the	the	DET
ap-8601	25	10	performance	performance	NOUN
ap-8601	25	11	of	of	ADP
ap-8601	25	12	circular	circular	ADJ
ap-8601	25	13	plates	plate	NOUN
ap-8601	25	14	lubricated	lubricate	VERB
ap-8601	25	15	with	with	ADP
ap-8601	25	16	a	a	DET
ap-8601	25	17	couple	couple	NOUN
ap-8601	25	18	stress	stress	NOUN
ap-8601	25	19	fluid	fluid	NOUN
ap-8601	25	20	model	model	NOUN
ap-8601	25	21	and	and	CCONJ
ap-8601	25	22	a	a	DET
ap-8601	25	23	power	power	NOUN
ap-8601	25	24	-	-	PUNCT
ap-8601	25	25	law	law	NOUN
ap-8601	25	26	fluid	fluid	NOUN
ap-8601	25	27	model	model	NOUN
ap-8601	25	28	by	by	ADP
ap-8601	25	29	wang	wang	PROPN
ap-8601	25	30	et	et	PROPN
ap-8601	25	31	al	al	PROPN
ap-8601	25	32	.	.	PUNCT
ap-8601	26	1	[	[	X
ap-8601	26	2	5	5	NUM
ap-8601	26	3	]	]	PUNCT
ap-8601	26	4	.	.	PUNCT
ap-8601	27	1	several	several	ADJ
ap-8601	27	2	researchers	researcher	NOUN
ap-8601	27	3	have	have	AUX
ap-8601	27	4	studied	study	VERB
ap-8601	27	5	the	the	DET
ap-8601	27	6	demonstration	demonstration	NOUN
ap-8601	27	7	of	of	ADP
ap-8601	27	8	the	the	DET
ap-8601	27	9	rfm	rfm	PROPN
ap-8601	27	10	for	for	ADP
ap-8601	27	11	different	different	ADJ
ap-8601	27	12	types	type	NOUN
ap-8601	27	13	of	of	ADP
ap-8601	27	14	bearings	bearing	NOUN
ap-8601	27	15	.	.	PUNCT
ap-8601	28	1	wada	wada	PROPN
ap-8601	28	2	and	and	CCONJ
ap-8601	28	3	hayashi	hayashi	PROPN
ap-8601	29	1	[	[	X
ap-8601	29	2	6	6	NUM
ap-8601	29	3	,	,	PUNCT
ap-8601	29	4	7	7	NUM
ap-8601	29	5	]	]	PUNCT
ap-8601	29	6	were	be	AUX
ap-8601	29	7	the	the	DET
ap-8601	29	8	first	first	ADJ
ap-8601	29	9	to	to	PART
ap-8601	29	10	study	study	VERB
ap-8601	29	11	theoretically	theoretically	ADV
ap-8601	29	12	and	and	CCONJ
ap-8601	29	13	experimentally	experimentally	ADV
ap-8601	29	14	the	the	DET
ap-8601	29	15	mechanism	mechanism	NOUN
ap-8601	29	16	of	of	ADP
ap-8601	29	17	journal	journal	NOUN
ap-8601	29	18	bearing	bear	VERB
ap-8601	29	19	in	in	ADP
ap-8601	29	20	the	the	DET
ap-8601	29	21	presence	presence	NOUN
ap-8601	29	22	of	of	ADP
ap-8601	29	23	pseudoplastic	pseudoplastic	ADJ
ap-8601	29	24	fluids	fluid	NOUN
ap-8601	29	25	.	.	PUNCT
ap-8601	30	1	furthermore	furthermore	ADV
ap-8601	30	2	,	,	PUNCT
ap-8601	30	3	lin	lin	PROPN
ap-8601	31	1	[	[	X
ap-8601	31	2	8	8	NUM
ap-8601	31	3	]	]	PUNCT
ap-8601	31	4	and	and	CCONJ
ap-8601	31	5	siddangouda	siddangouda	NOUN
ap-8601	31	6	et	et	PROPN
ap-8601	31	7	al	al	PROPN
ap-8601	31	8	.	.	PUNCT
ap-8601	32	1	[	[	X
ap-8601	32	2	9	9	NUM
ap-8601	32	3	]	]	PUNCT
ap-8601	32	4	investigated	investigate	VERB
ap-8601	32	5	the	the	DET
ap-8601	32	6	performance	performance	NOUN
ap-8601	32	7	of	of	ADP
ap-8601	32	8	parallel	parallel	ADJ
ap-8601	32	9	annular	annular	ADJ
ap-8601	32	10	discs	disc	NOUN
ap-8601	32	11	and	and	CCONJ
ap-8601	32	12	static	static	ADJ
ap-8601	32	13	characteristics	characteristic	NOUN
ap-8601	32	14	of	of	ADP
ap-8601	32	15	an	an	DET
ap-8601	32	16	inclined	inclined	ADJ
ap-8601	32	17	plane	plane	NOUN
ap-8601	32	18	slider	slider	NOUN
ap-8601	32	19	bearing	bear	VERB
ap-8601	32	20	under	under	ADP
ap-8601	32	21	the	the	DET
ap-8601	32	22	condition	condition	NOUN
ap-8601	32	23	of	of	ADP
ap-8601	32	24	rfm	rfm	PROPN
ap-8601	32	25	.	.	PUNCT
ap-8601	33	1	these	these	DET
ap-8601	33	2	studies	study	NOUN
ap-8601	33	3	suggest	suggest	VERB
ap-8601	33	4	that	that	SCONJ
ap-8601	33	5	under	under	ADP
ap-8601	33	6	rfm	rfm	PROPN
ap-8601	33	7	the	the	DET
ap-8601	33	8	bearing	bearing	NOUN
ap-8601	33	9	performance	performance	NOUN
ap-8601	33	10	is	be	AUX
ap-8601	33	11	influenced	influence	VERB
ap-8601	33	12	by	by	ADP
ap-8601	33	13	the	the	DET
ap-8601	33	14	characteristics	characteristic	NOUN
ap-8601	33	15	of	of	ADP
ap-8601	33	16	the	the	DET
ap-8601	33	17	dilatant	dilatant	ADJ
ap-8601	33	18	fluids	fluid	NOUN
ap-8601	33	19	,	,	PUNCT
ap-8601	33	20	whereas	whereas	SCONJ
ap-8601	33	21	the	the	DET
ap-8601	33	22	pseudo	pseudo	NOUN
ap-8601	33	23	-	-	ADJ
ap-8601	33	24	plastic	plastic	ADJ
ap-8601	33	25	behaviour	behaviour	NOUN
ap-8601	33	26	results	result	NOUN
ap-8601	33	27	in	in	ADP
ap-8601	33	28	a	a	DET
ap-8601	33	29	lower	low	ADJ
ap-8601	33	30	concentration	concentration	NOUN
ap-8601	33	31	of	of	ADP
ap-8601	33	32	bearing	bear	VERB
ap-8601	33	33	stability	stability	NOUN
ap-8601	33	34	compared	compare	VERB
ap-8601	33	35	to	to	AUX
ap-8601	33	36	nf	nf	INTJ
ap-8601	33	37	.	.	PUNCT
ap-8601	34	1	for	for	ADP
ap-8601	34	2	five	five	NUM
ap-8601	34	3	decades	decade	NOUN
ap-8601	34	4	,	,	PUNCT
ap-8601	34	5	permeable	permeable	ADJ
ap-8601	34	6	materials	material	NOUN
ap-8601	34	7	have	have	AUX
ap-8601	34	8	been	be	AUX
ap-8601	34	9	widely	widely	ADV
ap-8601	34	10	used	use	VERB
ap-8601	34	11	in	in	ADP
ap-8601	34	12	industry	industry	NOUN
ap-8601	34	13	to	to	PART
ap-8601	34	14	improve	improve	VERB
ap-8601	34	15	bearing	bear	VERB
ap-8601	34	16	performance	performance	NOUN
ap-8601	34	17	(	(	PUNCT
ap-8601	34	18	bujurke	bujurke	NOUN
ap-8601	34	19	et	et	PROPN
ap-8601	34	20	al	al	PROPN
ap-8601	34	21	.	.	PUNCT
ap-8601	35	1	[	[	X
ap-8601	35	2	10	10	NUM
ap-8601	35	3	]	]	PUNCT
ap-8601	35	4	,	,	PUNCT
ap-8601	35	5	morgan	morgan	PROPN
ap-8601	35	6	and	and	CCONJ
ap-8601	35	7	cameron	cameron	PROPN
ap-8601	36	1	[	[	X
ap-8601	36	2	11	11	NUM
ap-8601	36	3	]	]	PUNCT
ap-8601	36	4	)	)	PUNCT
ap-8601	36	5	.	.	PUNCT
ap-8601	37	1	with	with	ADP
ap-8601	37	2	the	the	DET
ap-8601	37	3	use	use	NOUN
ap-8601	37	4	of	of	ADP
ap-8601	37	5	darcy	darcy	PROPN
ap-8601	37	6	’s	’s	PART
ap-8601	37	7	model	model	PROPN
ap-8601	37	8	,	,	PUNCT
ap-8601	37	9	morgan	morgan	PROPN
ap-8601	37	10	and	and	CCONJ
ap-8601	37	11	cameron	cameron	PROPN
ap-8601	37	12	[	[	X
ap-8601	37	13	10	10	NUM
ap-8601	37	14	]	]	PUNCT
ap-8601	37	15	were	be	AUX
ap-8601	37	16	the	the	DET
ap-8601	37	17	first	first	ADJ
ap-8601	37	18	researchers	researcher	NOUN
ap-8601	37	19	who	who	PRON
ap-8601	37	20	inves439	inves439	PROPN
ap-8601	37	21	https://doi.org/10.14311/ap.2023.63.0439	https://doi.org/10.14311/ap.2023.63.0439	PROPN
ap-8601	37	22	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-8601	37	23	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-8601	37	24	a.	a.	PROPN
ap-8601	37	25	k.	k.	PROPN
ap-8601	37	26	rahul	rahul	PROPN
ap-8601	37	27	,	,	PUNCT
ap-8601	37	28	m.	m.	PROPN
ap-8601	37	29	k.	k.	PROPN
ap-8601	37	30	singh	singh	PROPN
ap-8601	37	31	,	,	PUNCT
ap-8601	37	32	r.	r.	PROPN
ap-8601	37	33	tiwari	tiwari	PROPN
ap-8601	37	34	et	et	PROPN
ap-8601	37	35	al	al	PROPN
ap-8601	37	36	.	.	PROPN
ap-8601	37	37	acta	acta	PROPN
ap-8601	37	38	polytechnica	polytechnica	PROPN
ap-8601	37	39	tigated	tigate	VERB
ap-8601	37	40	the	the	DET
ap-8601	37	41	porous	porous	ADJ
ap-8601	37	42	effect	effect	NOUN
ap-8601	37	43	on	on	ADP
ap-8601	37	44	bearing	bear	VERB
ap-8601	37	45	surfaces	surface	NOUN
ap-8601	37	46	.	.	PUNCT
ap-8601	38	1	patel	patel	PROPN
ap-8601	38	2	et	et	PROPN
ap-8601	38	3	al	al	PROPN
ap-8601	38	4	.	.	PUNCT
ap-8601	39	1	[	[	X
ap-8601	39	2	12	12	NUM
ap-8601	39	3	]	]	PUNCT
ap-8601	39	4	have	have	AUX
ap-8601	39	5	considered	consider	VERB
ap-8601	39	6	double	double	ADJ
ap-8601	39	7	-	-	PUNCT
ap-8601	39	8	layer	layer	NOUN
ap-8601	39	9	porous	porous	ADJ
ap-8601	39	10	surface	surface	NOUN
ap-8601	39	11	with	with	ADP
ap-8601	39	12	a	a	DET
ap-8601	39	13	curved	curved	ADJ
ap-8601	39	14	squeeze	squeeze	NOUN
ap-8601	39	15	film	film	NOUN
ap-8601	39	16	.	.	PUNCT
ap-8601	40	1	bhat	bhat	PROPN
ap-8601	40	2	and	and	CCONJ
ap-8601	40	3	deheri	deheri	VERB
ap-8601	40	4	[	[	X
ap-8601	40	5	13	13	NUM
ap-8601	40	6	]	]	PUNCT
ap-8601	40	7	conducted	conduct	VERB
ap-8601	40	8	a	a	DET
ap-8601	40	9	study	study	NOUN
ap-8601	40	10	on	on	ADP
ap-8601	40	11	squeeze	squeeze	NOUN
ap-8601	40	12	film	film	NOUN
ap-8601	40	13	behaviour	behaviour	NOUN
ap-8601	40	14	in	in	ADP
ap-8601	40	15	porous	porous	ADJ
ap-8601	40	16	annular	annular	ADJ
ap-8601	40	17	discs	disc	NOUN
ap-8601	40	18	that	that	PRON
ap-8601	40	19	are	be	AUX
ap-8601	40	20	lubricated	lubricate	VERB
ap-8601	40	21	with	with	ADP
ap-8601	40	22	magnetic	magnetic	ADJ
ap-8601	40	23	fluid	fluid	NOUN
ap-8601	40	24	.	.	PUNCT
ap-8601	41	1	recently	recently	ADV
ap-8601	41	2	,	,	PUNCT
ap-8601	41	3	walicka	walicka	PRON
ap-8601	41	4	et	et	NOUN
ap-8601	41	5	al	al	PROPN
ap-8601	41	6	.	.	PUNCT
ap-8601	42	1	[	[	X
ap-8601	42	2	14	14	NUM
ap-8601	42	3	]	]	PUNCT
ap-8601	42	4	,	,	PUNCT
ap-8601	42	5	rao	rao	NOUN
ap-8601	42	6	and	and	CCONJ
ap-8601	42	7	rahul	rahul	PROPN
ap-8601	43	1	[	[	X
ap-8601	43	2	15	15	NUM
ap-8601	43	3	–	–	PUNCT
ap-8601	43	4	17	17	NUM
ap-8601	43	5	]	]	PUNCT
ap-8601	43	6	,	,	PUNCT
ap-8601	43	7	and	and	CCONJ
ap-8601	43	8	rahul	rahul	PROPN
ap-8601	43	9	et	et	PROPN
ap-8601	43	10	al	al	PROPN
ap-8601	43	11	.	.	PUNCT
ap-8601	44	1	[	[	X
ap-8601	44	2	18	18	NUM
ap-8601	44	3	]	]	PUNCT
ap-8601	44	4	have	have	AUX
ap-8601	44	5	applied	apply	VERB
ap-8601	44	6	the	the	DET
ap-8601	44	7	rfm	rfm	PROPN
ap-8601	44	8	on	on	ADP
ap-8601	44	9	a	a	DET
ap-8601	44	10	curvilinear	curvilinear	NOUN
ap-8601	44	11	and	and	CCONJ
ap-8601	44	12	sf	sf	NOUN
ap-8601	44	13	bearing	bear	VERB
ap-8601	44	14	to	to	PART
ap-8601	44	15	study	study	VERB
ap-8601	44	16	the	the	DET
ap-8601	44	17	characteristics	characteristic	NOUN
ap-8601	44	18	of	of	ADP
ap-8601	44	19	the	the	DET
ap-8601	44	20	dilatant	dilatant	ADJ
ap-8601	44	21	fluid	fluid	NOUN
ap-8601	44	22	between	between	ADP
ap-8601	44	23	the	the	DET
ap-8601	44	24	porous	porous	ADJ
ap-8601	44	25	media	medium	NOUN
ap-8601	44	26	.	.	PUNCT
ap-8601	45	1	these	these	DET
ap-8601	45	2	researchers	researcher	NOUN
ap-8601	45	3	were	be	AUX
ap-8601	45	4	concerned	concern	VERB
ap-8601	45	5	with	with	ADP
ap-8601	45	6	how	how	SCONJ
ap-8601	45	7	the	the	DET
ap-8601	45	8	porous	porous	ADJ
ap-8601	45	9	wall	wall	NOUN
ap-8601	45	10	affected	affect	VERB
ap-8601	45	11	the	the	DET
ap-8601	45	12	performance	performance	NOUN
ap-8601	45	13	of	of	ADP
ap-8601	45	14	the	the	DET
ap-8601	45	15	bearings	bearing	NOUN
ap-8601	45	16	.	.	PUNCT
ap-8601	46	1	it	it	PRON
ap-8601	46	2	was	be	AUX
ap-8601	46	3	concluded	conclude	VERB
ap-8601	46	4	that	that	SCONJ
ap-8601	46	5	the	the	DET
ap-8601	46	6	rabinowitsch	rabinowitsch	ADJ
ap-8601	46	7	fluid	fluid	ADJ
ap-8601	46	8	property	property	NOUN
ap-8601	46	9	,	,	PUNCT
ap-8601	46	10	which	which	PRON
ap-8601	46	11	exists	exist	VERB
ap-8601	46	12	in	in	ADP
ap-8601	46	13	porous	porous	ADJ
ap-8601	46	14	media	medium	NOUN
ap-8601	46	15	,	,	PUNCT
ap-8601	46	16	has	have	VERB
ap-8601	46	17	a	a	DET
ap-8601	46	18	substantial	substantial	ADJ
ap-8601	46	19	impact	impact	NOUN
ap-8601	46	20	on	on	ADP
ap-8601	46	21	the	the	DET
ap-8601	46	22	bearings	bearing	NOUN
ap-8601	46	23	’	’	PART
ap-8601	46	24	characteristics	characteristic	NOUN
ap-8601	46	25	and	and	CCONJ
ap-8601	46	26	lengthens	lengthen	VERB
ap-8601	46	27	their	their	PRON
ap-8601	46	28	lifespan	lifespan	NOUN
ap-8601	46	29	.	.	PUNCT
ap-8601	47	1	the	the	DET
ap-8601	47	2	goal	goal	NOUN
ap-8601	47	3	of	of	ADP
ap-8601	47	4	many	many	ADJ
ap-8601	47	5	researchers	researcher	NOUN
ap-8601	47	6	is	be	AUX
ap-8601	47	7	to	to	PART
ap-8601	47	8	show	show	VERB
ap-8601	47	9	how	how	SCONJ
ap-8601	47	10	sr	sr	PROPN
ap-8601	47	11	affects	affect	VERB
ap-8601	47	12	the	the	DET
ap-8601	47	13	thin	thin	ADJ
ap-8601	47	14	film	film	NOUN
ap-8601	47	15	lubrication	lubrication	NOUN
ap-8601	47	16	bearing	bearing	NOUN
ap-8601	47	17	.	.	PUNCT
ap-8601	48	1	the	the	DET
ap-8601	48	2	bearing	bearing	NOUN
ap-8601	48	3	performance	performance	NOUN
ap-8601	48	4	,	,	PUNCT
ap-8601	48	5	including	include	VERB
ap-8601	48	6	pressure	pressure	NOUN
ap-8601	48	7	,	,	PUNCT
ap-8601	48	8	load	load	NOUN
ap-8601	48	9	,	,	PUNCT
ap-8601	48	10	friction	friction	NOUN
ap-8601	48	11	,	,	PUNCT
ap-8601	48	12	drags	drag	NOUN
ap-8601	48	13	,	,	PUNCT
ap-8601	48	14	and	and	CCONJ
ap-8601	48	15	other	other	ADJ
ap-8601	48	16	factors	factor	NOUN
ap-8601	48	17	,	,	PUNCT
ap-8601	48	18	is	be	AUX
ap-8601	48	19	influenced	influence	VERB
ap-8601	48	20	by	by	ADP
ap-8601	48	21	this	this	DET
ap-8601	48	22	condition	condition	NOUN
ap-8601	48	23	’s	’s	PART
ap-8601	48	24	surface	surface	NOUN
ap-8601	48	25	roughness	roughness	NOUN
ap-8601	48	26	.	.	PUNCT
ap-8601	49	1	various	various	ADJ
ap-8601	49	2	methodologies	methodology	NOUN
ap-8601	49	3	have	have	AUX
ap-8601	49	4	been	be	AUX
ap-8601	49	5	introduced	introduce	VERB
ap-8601	49	6	to	to	PART
ap-8601	49	7	examine	examine	VERB
ap-8601	49	8	the	the	DET
ap-8601	49	9	impact	impact	NOUN
ap-8601	49	10	of	of	ADP
ap-8601	49	11	sr	sr	PROPN
ap-8601	49	12	on	on	ADP
ap-8601	49	13	the	the	DET
ap-8601	49	14	performance	performance	NOUN
ap-8601	49	15	of	of	ADP
ap-8601	49	16	bearings	bearing	NOUN
ap-8601	49	17	.	.	PUNCT
ap-8601	50	1	christensen	christensen	PROPN
ap-8601	51	1	[	[	X
ap-8601	51	2	19	19	NUM
ap-8601	51	3	,	,	PUNCT
ap-8601	51	4	20	20	NUM
ap-8601	51	5	]	]	PUNCT
ap-8601	51	6	first	first	ADV
ap-8601	51	7	established	establish	VERB
ap-8601	51	8	the	the	DET
ap-8601	51	9	stochastic	stochastic	ADJ
ap-8601	51	10	theory	theory	NOUN
ap-8601	51	11	of	of	ADP
ap-8601	51	12	thin	thin	ADJ
ap-8601	51	13	film	film	NOUN
ap-8601	51	14	lubrication	lubrication	NOUN
ap-8601	51	15	of	of	ADP
ap-8601	51	16	rough	rough	ADJ
ap-8601	51	17	bearing	bearing	NOUN
ap-8601	51	18	surfaces	surface	NOUN
ap-8601	51	19	.	.	PUNCT
ap-8601	52	1	the	the	DET
ap-8601	52	2	combined	combine	VERB
ap-8601	52	3	effects	effect	NOUN
ap-8601	52	4	of	of	ADP
ap-8601	52	5	sr	sr	PROPN
ap-8601	52	6	and	and	CCONJ
ap-8601	52	7	porosity	porosity	NOUN
ap-8601	52	8	with	with	ADP
ap-8601	52	9	mhd	mhd	NOUN
ap-8601	52	10	between	between	ADP
ap-8601	52	11	annular	annular	ADJ
ap-8601	52	12	discs	disc	NOUN
ap-8601	52	13	have	have	AUX
ap-8601	52	14	been	be	AUX
ap-8601	52	15	taken	take	VERB
ap-8601	52	16	into	into	ADP
ap-8601	52	17	consideration	consideration	NOUN
ap-8601	52	18	by	by	ADP
ap-8601	52	19	baksh	baksh	NOUN
ap-8601	52	20	and	and	CCONJ
ap-8601	52	21	naganagowda	naganagowda	ADJ
ap-8601	52	22	[	[	X
ap-8601	52	23	21	21	NUM
ap-8601	52	24	]	]	PUNCT
ap-8601	52	25	.	.	PUNCT
ap-8601	53	1	by	by	ADP
ap-8601	53	2	analysing	analyse	VERB
ap-8601	53	3	the	the	DET
ap-8601	53	4	permeability	permeability	NOUN
ap-8601	53	5	influence	influence	NOUN
ap-8601	53	6	on	on	ADP
ap-8601	53	7	the	the	DET
ap-8601	53	8	rotor	rotor	NOUN
ap-8601	53	9	linear	linear	PROPN
ap-8601	53	10	stability	stability	NOUN
ap-8601	53	11	,	,	PUNCT
ap-8601	53	12	d’agostino	d’agostino	PROPN
ap-8601	53	13	et	et	PROPN
ap-8601	53	14	al	al	PROPN
ap-8601	53	15	.	.	PUNCT
ap-8601	54	1	[	[	X
ap-8601	54	2	22	22	NUM
ap-8601	54	3	]	]	PUNCT
ap-8601	54	4	examined	examine	VERB
ap-8601	54	5	the	the	DET
ap-8601	54	6	unstable	unstable	ADJ
ap-8601	54	7	oil	oil	NOUN
ap-8601	54	8	film	film	NOUN
ap-8601	54	9	forces	force	NOUN
ap-8601	54	10	in	in	ADP
ap-8601	54	11	porous	porous	ADJ
ap-8601	54	12	bearings	bearing	NOUN
ap-8601	54	13	.	.	PUNCT
ap-8601	55	1	vashi	vashi	PROPN
ap-8601	55	2	et	et	PROPN
ap-8601	55	3	al	al	PROPN
ap-8601	55	4	.	.	PUNCT
ap-8601	56	1	[	[	X
ap-8601	56	2	23	23	NUM
ap-8601	56	3	]	]	PUNCT
ap-8601	56	4	,	,	PUNCT
ap-8601	56	5	have	have	AUX
ap-8601	56	6	considered	consider	VERB
ap-8601	56	7	the	the	DET
ap-8601	56	8	neuringer	neuringer	NOUN
ap-8601	56	9	-	-	PUNCT
ap-8601	56	10	rosenzweig	rosenzweig	NOUN
ap-8601	56	11	model	model	NOUN
ap-8601	56	12	to	to	PART
ap-8601	56	13	investigate	investigate	VERB
ap-8601	56	14	the	the	DET
ap-8601	56	15	performance	performance	NOUN
ap-8601	56	16	of	of	ADP
ap-8601	56	17	circular	circular	ADJ
ap-8601	56	18	stepped	step	VERB
ap-8601	56	19	plates	plate	NOUN
ap-8601	56	20	in	in	ADP
ap-8601	56	21	the	the	DET
ap-8601	56	22	existence	existence	NOUN
ap-8601	56	23	of	of	ADP
ap-8601	56	24	couple	couple	NOUN
ap-8601	56	25	stress	stress	NOUN
ap-8601	56	26	,	,	PUNCT
ap-8601	56	27	porosity	porosity	NOUN
ap-8601	56	28	,	,	PUNCT
ap-8601	56	29	and	and	CCONJ
ap-8601	56	30	sr	sr	PROPN
ap-8601	56	31	siddangouda	siddangouda	NOUN
ap-8601	56	32	et	et	PROPN
ap-8601	56	33	al	al	PROPN
ap-8601	56	34	.	.	PUNCT
ap-8601	57	1	[	[	X
ap-8601	57	2	24	24	NUM
ap-8601	57	3	]	]	PUNCT
ap-8601	57	4	investigated	investigate	VERB
ap-8601	57	5	the	the	DET
ap-8601	57	6	combined	combine	VERB
ap-8601	57	7	impact	impact	NOUN
ap-8601	57	8	of	of	ADP
ap-8601	57	9	sr	sr	PROPN
ap-8601	57	10	and	and	CCONJ
ap-8601	57	11	viscosity	viscosity	NOUN
ap-8601	57	12	change	change	NOUN
ap-8601	57	13	brought	bring	VERB
ap-8601	57	14	on	on	ADP
ap-8601	57	15	by	by	ADP
ap-8601	57	16	additives	additive	NOUN
ap-8601	57	17	on	on	ADP
ap-8601	57	18	long	long	ADJ
ap-8601	57	19	journal	journal	NOUN
ap-8601	57	20	bearing	bearing	NOUN
ap-8601	57	21	.	.	PUNCT
ap-8601	58	1	according	accord	VERB
ap-8601	58	2	to	to	ADP
ap-8601	58	3	munshi	munshi	PROPN
ap-8601	58	4	et	et	PROPN
ap-8601	58	5	al	al	PROPN
ap-8601	58	6	.	.	PUNCT
ap-8601	59	1	[	[	X
ap-8601	59	2	25	25	NUM
ap-8601	59	3	]	]	PUNCT
ap-8601	59	4	,	,	PUNCT
ap-8601	59	5	a	a	DET
ap-8601	59	6	rough	rough	ADJ
ap-8601	59	7	porous	porous	ADJ
ap-8601	59	8	sine	sine	ADJ
ap-8601	59	9	film	film	NOUN
ap-8601	59	10	slider	slider	NOUN
ap-8601	59	11	bearing	bear	VERB
ap-8601	59	12	with	with	ADP
ap-8601	59	13	ferrofluid	ferrofluid	ADJ
ap-8601	59	14	lubrication	lubrication	NOUN
ap-8601	59	15	was	be	AUX
ap-8601	59	16	subjected	subject	VERB
ap-8601	59	17	to	to	ADP
ap-8601	59	18	a	a	DET
ap-8601	59	19	sinusoidal	sinusoidal	ADJ
ap-8601	59	20	magnetic	magnetic	ADJ
ap-8601	59	21	field	field	NOUN
ap-8601	59	22	.	.	PUNCT
ap-8601	60	1	shimpi	shimpi	NOUN
ap-8601	60	2	and	and	CCONJ
ap-8601	60	3	deheri	deheri	NOUN
ap-8601	60	4	[	[	X
ap-8601	60	5	26	26	NUM
ap-8601	60	6	]	]	PUNCT
ap-8601	60	7	investigated	investigate	VERB
ap-8601	60	8	the	the	DET
ap-8601	60	9	deformation	deformation	NOUN
ap-8601	60	10	effect	effect	NOUN
ap-8601	60	11	of	of	ADP
ap-8601	60	12	a	a	DET
ap-8601	60	13	magnetic	magnetic	ADJ
ap-8601	60	14	fluid	fluid	NOUN
ap-8601	60	15	-	-	PUNCT
ap-8601	60	16	based	base	VERB
ap-8601	60	17	squeeze	squeeze	NOUN
ap-8601	60	18	film	film	NOUN
ap-8601	60	19	in	in	ADP
ap-8601	60	20	rough	rough	ADJ
ap-8601	60	21	rotating	rotate	VERB
ap-8601	60	22	curved	curve	VERB
ap-8601	60	23	porous	porous	ADJ
ap-8601	60	24	annular	annular	ADJ
ap-8601	60	25	plates	plate	NOUN
ap-8601	60	26	.	.	PUNCT
ap-8601	61	1	patel	patel	PROPN
ap-8601	61	2	et	et	PROPN
ap-8601	61	3	al	al	PROPN
ap-8601	61	4	.	.	PUNCT
ap-8601	62	1	[	[	X
ap-8601	62	2	27	27	NUM
ap-8601	62	3	]	]	PUNCT
ap-8601	62	4	investigated	investigate	VERB
ap-8601	62	5	the	the	DET
ap-8601	62	6	lubrication	lubrication	NOUN
ap-8601	62	7	of	of	ADP
ap-8601	62	8	a	a	DET
ap-8601	62	9	rough	rough	ADJ
ap-8601	62	10	porous	porous	ADJ
ap-8601	62	11	hyperbolic	hyperbolic	ADJ
ap-8601	62	12	slider	slider	NOUN
ap-8601	62	13	bearing	bear	VERB
ap-8601	62	14	with	with	ADP
ap-8601	62	15	slip	slip	NOUN
ap-8601	62	16	velocity	velocity	NOUN
ap-8601	62	17	using	use	VERB
ap-8601	62	18	ferrofluid	ferrofluid	NOUN
ap-8601	62	19	.	.	PUNCT
ap-8601	63	1	patel	patel	PROPN
ap-8601	63	2	and	and	CCONJ
ap-8601	63	3	deheri	deheri	VERB
ap-8601	64	1	[	[	X
ap-8601	64	2	28	28	NUM
ap-8601	64	3	]	]	PUNCT
ap-8601	64	4	studied	study	VERB
ap-8601	64	5	the	the	DET
ap-8601	64	6	joint	joint	ADJ
ap-8601	64	7	effect	effect	NOUN
ap-8601	64	8	of	of	ADP
ap-8601	64	9	slip	slip	NOUN
ap-8601	64	10	velocity	velocity	NOUN
ap-8601	64	11	and	and	CCONJ
ap-8601	64	12	roughness	roughness	NOUN
ap-8601	64	13	on	on	ADP
ap-8601	64	14	the	the	DET
ap-8601	64	15	ferrofluid	ferrofluid	ADJ
ap-8601	64	16	lubrication	lubrication	NOUN
ap-8601	64	17	of	of	ADP
ap-8601	64	18	a	a	DET
ap-8601	64	19	curved	curved	ADJ
ap-8601	64	20	rough	rough	ADJ
ap-8601	64	21	annular	annular	ADJ
ap-8601	64	22	squeeze	squeeze	NOUN
ap-8601	64	23	film	film	NOUN
ap-8601	64	24	using	use	VERB
ap-8601	64	25	the	the	DET
ap-8601	64	26	jenkins	jenkins	PROPN
ap-8601	64	27	model	model	PROPN
ap-8601	64	28	.	.	PUNCT
ap-8601	65	1	vashi	vashi	PROPN
ap-8601	65	2	et	et	PROPN
ap-8601	65	3	al	al	PROPN
ap-8601	65	4	.	.	PUNCT
ap-8601	66	1	[	[	X
ap-8601	66	2	29	29	NUM
ap-8601	66	3	]	]	PUNCT
ap-8601	66	4	studied	study	VERB
ap-8601	66	5	the	the	DET
ap-8601	66	6	longitudinally	longitudinally	ADV
ap-8601	66	7	rough	rough	ADJ
ap-8601	66	8	porous	porous	ADJ
ap-8601	66	9	circular	circular	ADJ
ap-8601	66	10	stepping	step	VERB
ap-8601	66	11	plates	plate	NOUN
ap-8601	66	12	based	base	VERB
ap-8601	66	13	on	on	ADP
ap-8601	66	14	the	the	DET
ap-8601	66	15	neuringer	neuringer	NOUN
ap-8601	66	16	-	-	PUNCT
ap-8601	66	17	roseinweig	roseinweig	PROPN
ap-8601	66	18	model	model	NOUN
ap-8601	66	19	in	in	ADP
ap-8601	66	20	the	the	DET
ap-8601	66	21	presence	presence	NOUN
ap-8601	66	22	of	of	ADP
ap-8601	66	23	couple	couple	NOUN
ap-8601	66	24	stress	stress	NOUN
ap-8601	66	25	.	.	PUNCT
ap-8601	67	1	the	the	DET
ap-8601	67	2	influence	influence	NOUN
ap-8601	67	3	of	of	ADP
ap-8601	67	4	a	a	DET
ap-8601	67	5	porous	porous	ADJ
ap-8601	67	6	structure	structure	NOUN
ap-8601	67	7	,	,	PUNCT
ap-8601	67	8	slip	slip	VERB
ap-8601	67	9	velocity	velocity	NOUN
ap-8601	67	10	,	,	PUNCT
ap-8601	67	11	and	and	CCONJ
ap-8601	67	12	rosensweig	rosensweig	VERB
ap-8601	67	13	’s	’s	PART
ap-8601	67	14	viscosity	viscosity	NOUN
ap-8601	67	15	on	on	ADP
ap-8601	67	16	the	the	DET
ap-8601	67	17	ferrofluidbased	ferrofluidbase	VERB
ap-8601	67	18	squeeze	squeeze	NOUN
ap-8601	67	19	film	film	NOUN
ap-8601	67	20	on	on	ADP
ap-8601	67	21	porous	porous	ADJ
ap-8601	67	22	curved	curved	ADJ
ap-8601	67	23	annular	annular	ADJ
ap-8601	67	24	plates	plate	NOUN
ap-8601	67	25	was	be	AUX
ap-8601	67	26	explored	explore	VERB
ap-8601	67	27	by	by	ADP
ap-8601	67	28	patel	patel	PROPN
ap-8601	67	29	et	et	PROPN
ap-8601	67	30	al	al	PROPN
ap-8601	67	31	.	.	PUNCT
ap-8601	68	1	[	[	X
ap-8601	68	2	30	30	NUM
ap-8601	68	3	]	]	PUNCT
ap-8601	68	4	.	.	PUNCT
ap-8601	69	1	pressure	pressure	NOUN
ap-8601	69	2	generations	generation	NOUN
ap-8601	69	3	in	in	ADP
ap-8601	69	4	a	a	DET
ap-8601	69	5	rough	rough	ADJ
ap-8601	69	6	conical	conical	NOUN
ap-8601	69	7	bearing	bearing	NOUN
ap-8601	69	8	using	use	VERB
ap-8601	69	9	non	non	ADJ
ap-8601	69	10	-	-	ADJ
ap-8601	69	11	newtonian	newtonian	ADJ
ap-8601	69	12	rabinowitsch	rabinowitsch	ADJ
ap-8601	69	13	fluid	fluid	NOUN
ap-8601	69	14	with	with	ADP
ap-8601	69	15	variable	variable	ADJ
ap-8601	69	16	viscosity	viscosity	NOUN
ap-8601	69	17	have	have	AUX
ap-8601	69	18	been	be	AUX
ap-8601	69	19	investigated	investigate	VERB
ap-8601	69	20	by	by	ADP
ap-8601	69	21	rao	rao	NOUN
ap-8601	69	22	and	and	CCONJ
ap-8601	69	23	rahul	rahul	PROPN
ap-8601	70	1	[	[	X
ap-8601	70	2	31	31	NUM
ap-8601	70	3	]	]	PUNCT
ap-8601	70	4	.	.	PUNCT
ap-8601	71	1	a	a	DET
ap-8601	71	2	hydrostatic	hydrostatic	ADJ
ap-8601	71	3	conical	conical	NOUN
ap-8601	71	4	bearing	bearing	NOUN
ap-8601	71	5	that	that	PRON
ap-8601	71	6	is	be	AUX
ap-8601	71	7	externally	externally	ADV
ap-8601	71	8	pressured	pressure	VERB
ap-8601	71	9	and	and	CCONJ
ap-8601	71	10	lubricated	lubricate	VERB
ap-8601	71	11	with	with	ADP
ap-8601	71	12	rfm	rfm	PROPN
ap-8601	71	13	has	have	AUX
ap-8601	71	14	been	be	AUX
ap-8601	71	15	studied	study	VERB
ap-8601	71	16	by	by	ADP
ap-8601	71	17	walicka	walicka	PRON
ap-8601	71	18	et	et	PROPN
ap-8601	71	19	al	al	PROPN
ap-8601	71	20	.	.	PUNCT
ap-8601	72	1	[	[	X
ap-8601	72	2	32	32	NUM
ap-8601	72	3	]	]	PUNCT
ap-8601	72	4	for	for	ADP
ap-8601	72	5	how	how	SCONJ
ap-8601	72	6	wall	wall	NOUN
ap-8601	72	7	porosity	porosity	NOUN
ap-8601	72	8	and	and	CCONJ
ap-8601	72	9	surface	surface	NOUN
ap-8601	72	10	roughness	roughness	NOUN
ap-8601	72	11	affect	affect	VERB
ap-8601	72	12	steady	steady	ADJ
ap-8601	72	13	performance	performance	NOUN
ap-8601	72	14	.	.	PUNCT
ap-8601	73	1	recently	recently	ADV
ap-8601	73	2	,	,	PUNCT
ap-8601	73	3	rahul	rahul	PROPN
ap-8601	73	4	and	and	CCONJ
ap-8601	73	5	rao	rao	NOUN
ap-8601	74	1	[	[	X
ap-8601	74	2	33	33	NUM
ap-8601	74	3	,	,	PUNCT
ap-8601	74	4	34	34	NUM
ap-8601	74	5	]	]	PUNCT
ap-8601	74	6	investigated	investigate	VERB
ap-8601	74	7	the	the	DET
ap-8601	74	8	behaviour	behaviour	NOUN
ap-8601	74	9	of	of	ADP
ap-8601	74	10	annular	annular	ADJ
ap-8601	74	11	discs	disc	NOUN
ap-8601	74	12	and	and	CCONJ
ap-8601	74	13	circular	circular	ADJ
ap-8601	74	14	stepping	step	VERB
ap-8601	74	15	plates	plate	NOUN
ap-8601	74	16	in	in	ADP
ap-8601	74	17	the	the	DET
ap-8601	74	18	presence	presence	NOUN
ap-8601	74	19	of	of	ADP
ap-8601	74	20	a	a	DET
ap-8601	74	21	viscosity	viscosity	NOUN
ap-8601	74	22	variable	variable	NOUN
ap-8601	74	23	of	of	ADP
ap-8601	74	24	rabinowitsch	rabinowitsch	ADJ
ap-8601	74	25	fluid	fluid	NOUN
ap-8601	74	26	with	with	ADP
ap-8601	74	27	a	a	DET
ap-8601	74	28	rough	rough	ADJ
ap-8601	74	29	and	and	CCONJ
ap-8601	74	30	porous	porous	ADJ
ap-8601	74	31	surface	surface	NOUN
ap-8601	74	32	.	.	PUNCT
ap-8601	75	1	they	they	PRON
ap-8601	75	2	have	have	AUX
ap-8601	75	3	discussed	discuss	VERB
ap-8601	75	4	that	that	SCONJ
ap-8601	75	5	a	a	DET
ap-8601	75	6	one	one	NUM
ap-8601	75	7	-	-	PUNCT
ap-8601	75	8	dimensional	dimensional	ADJ
ap-8601	75	9	azimuthal	azimuthal	NOUN
ap-8601	75	10	(	(	PUNCT
ap-8601	75	11	radial	radial	ADJ
ap-8601	75	12	)	)	PUNCT
ap-8601	75	13	roughness	roughness	NOUN
ap-8601	75	14	pattern	pattern	NOUN
ap-8601	75	15	on	on	ADP
ap-8601	75	16	the	the	DET
ap-8601	75	17	rough	rough	ADJ
ap-8601	75	18	porous	porous	ADJ
ap-8601	75	19	circular	circular	ADJ
ap-8601	75	20	plate	plate	NOUN
ap-8601	75	21	increases	increase	NOUN
ap-8601	75	22	(	(	PUNCT
ap-8601	75	23	decreases	decrease	NOUN
ap-8601	75	24	)	)	PUNCT
ap-8601	75	25	the	the	DET
ap-8601	75	26	load	load	NOUN
ap-8601	75	27	-	-	PUNCT
ap-8601	75	28	carrying	carry	VERB
ap-8601	75	29	capacity	capacity	NOUN
ap-8601	75	30	and	and	CCONJ
ap-8601	75	31	the	the	DET
ap-8601	75	32	squeeze	squeeze	NOUN
ap-8601	75	33	film	film	NOUN
ap-8601	75	34	time	time	NOUN
ap-8601	75	35	as	as	SCONJ
ap-8601	75	36	compared	compare	VERB
ap-8601	75	37	to	to	ADP
ap-8601	75	38	the	the	DET
ap-8601	75	39	corresponding	corresponding	ADJ
ap-8601	75	40	smooth	smooth	ADJ
ap-8601	75	41	case	case	NOUN
ap-8601	75	42	.	.	PUNCT
ap-8601	76	1	moreover	moreover	ADV
ap-8601	76	2	,	,	PUNCT
ap-8601	76	3	in	in	ADP
ap-8601	76	4	circular	circular	ADJ
ap-8601	76	5	stepped	step	VERB
ap-8601	76	6	plates	plate	NOUN
ap-8601	76	7	with	with	ADP
ap-8601	76	8	the	the	DET
ap-8601	76	9	presence	presence	NOUN
ap-8601	76	10	of	of	ADP
ap-8601	76	11	the	the	DET
ap-8601	76	12	porous	porous	ADJ
ap-8601	76	13	wall	wall	NOUN
ap-8601	76	14	,	,	PUNCT
ap-8601	76	15	the	the	DET
ap-8601	76	16	load	load	NOUN
ap-8601	76	17	capacity	capacity	NOUN
ap-8601	76	18	,	,	PUNCT
ap-8601	76	19	and	and	CCONJ
ap-8601	76	20	squeeze	squeeze	VERB
ap-8601	76	21	time	time	NOUN
ap-8601	76	22	decreases	decrease	NOUN
ap-8601	76	23	compared	compare	VERB
ap-8601	76	24	to	to	ADP
ap-8601	76	25	non	non	ADJ
ap-8601	76	26	-	-	ADJ
ap-8601	76	27	porous	porous	ADJ
ap-8601	76	28	case	case	NOUN
ap-8601	76	29	.	.	PUNCT
ap-8601	77	1	1.1	1.1	NUM
ap-8601	77	2	.	.	PUNCT
ap-8601	77	3	research	research	NOUN
ap-8601	77	4	gap	gap	NOUN
ap-8601	77	5	the	the	DET
ap-8601	77	6	above	above	ADJ
ap-8601	77	7	researchers	researcher	NOUN
ap-8601	77	8	concluded	conclude	VERB
ap-8601	77	9	that	that	SCONJ
ap-8601	77	10	transverse	transverse	NOUN
ap-8601	77	11	roughness	roughness	NOUN
ap-8601	77	12	patterns	pattern	NOUN
ap-8601	77	13	on	on	ADP
ap-8601	77	14	the	the	DET
ap-8601	77	15	bearing	bear	VERB
ap-8601	77	16	surface	surface	NOUN
ap-8601	77	17	increase	increase	NOUN
ap-8601	77	18	fp	fp	INTJ
ap-8601	77	19	and	and	CCONJ
ap-8601	77	20	lcc	lcc	PROPN
ap-8601	77	21	.	.	PUNCT
ap-8601	78	1	despite	despite	SCONJ
ap-8601	78	2	the	the	DET
ap-8601	78	3	much	much	ADV
ap-8601	78	4	anticipated	anticipate	VERB
ap-8601	78	5	future	future	NOUN
ap-8601	78	6	of	of	ADP
ap-8601	78	7	squeeze	squeeze	NOUN
ap-8601	78	8	film	film	NOUN
ap-8601	78	9	bearings	bearing	NOUN
ap-8601	78	10	,	,	PUNCT
ap-8601	78	11	not	not	PART
ap-8601	78	12	enough	enough	ADJ
ap-8601	78	13	research	research	NOUN
ap-8601	78	14	has	have	AUX
ap-8601	78	15	been	be	AUX
ap-8601	78	16	done	do	VERB
ap-8601	78	17	.	.	PUNCT
ap-8601	79	1	the	the	DET
ap-8601	79	2	majority	majority	NOUN
ap-8601	79	3	of	of	ADP
ap-8601	79	4	the	the	DET
ap-8601	79	5	work	work	NOUN
ap-8601	79	6	has	have	AUX
ap-8601	79	7	been	be	AUX
ap-8601	79	8	performed	perform	VERB
ap-8601	79	9	without	without	ADP
ap-8601	79	10	taking	take	VERB
ap-8601	79	11	into	into	ADP
ap-8601	79	12	account	account	NOUN
ap-8601	79	13	the	the	DET
ap-8601	79	14	impacts	impact	NOUN
ap-8601	79	15	of	of	ADP
ap-8601	79	16	porous	porous	ADJ
ap-8601	79	17	discs	disc	NOUN
ap-8601	79	18	,	,	PUNCT
ap-8601	79	19	the	the	DET
ap-8601	79	20	rabinowsitch	rabinowsitch	NOUN
ap-8601	79	21	fluid	fluid	NOUN
ap-8601	79	22	model	model	NOUN
ap-8601	79	23	,	,	PUNCT
ap-8601	79	24	and	and	CCONJ
ap-8601	79	25	surface	surface	NOUN
ap-8601	79	26	roughness	roughness	NOUN
ap-8601	79	27	,	,	PUNCT
ap-8601	79	28	according	accord	VERB
ap-8601	79	29	to	to	ADP
ap-8601	79	30	the	the	DET
ap-8601	79	31	literature	literature	PROPN
ap-8601	79	32	review	review	PROPN
ap-8601	79	33	.	.	PUNCT
ap-8601	80	1	the	the	DET
ap-8601	80	2	following	follow	VERB
ap-8601	80	3	issues	issue	NOUN
ap-8601	80	4	were	be	AUX
ap-8601	80	5	n’t	not	PART
ap-8601	80	6	covered	cover	VERB
ap-8601	80	7	in	in	ADP
ap-8601	80	8	the	the	DET
ap-8601	80	9	papers	paper	NOUN
ap-8601	80	10	that	that	PRON
ap-8601	80	11	were	be	AUX
ap-8601	80	12	previously	previously	ADV
ap-8601	80	13	published	publish	VERB
ap-8601	80	14	.	.	PUNCT
ap-8601	81	1	a	a	DET
ap-8601	81	2	)	)	PUNCT
ap-8601	81	3	analysis	analysis	NOUN
ap-8601	81	4	of	of	ADP
ap-8601	81	5	the	the	DET
ap-8601	81	6	characteristics	characteristic	NOUN
ap-8601	81	7	of	of	ADP
ap-8601	81	8	a	a	DET
ap-8601	81	9	squeeze	squeeze	NOUN
ap-8601	81	10	-	-	PUNCT
ap-8601	81	11	film	film	NOUN
ap-8601	81	12	of	of	ADP
ap-8601	81	13	annular	annular	ADJ
ap-8601	81	14	discs	disc	NOUN
ap-8601	81	15	using	use	VERB
ap-8601	81	16	the	the	DET
ap-8601	81	17	rf	rf	ADJ
ap-8601	81	18	model	model	NOUN
ap-8601	81	19	to	to	PART
ap-8601	81	20	determine	determine	VERB
ap-8601	81	21	the	the	DET
ap-8601	81	22	effectiveness	effectiveness	NOUN
ap-8601	81	23	of	of	ADP
ap-8601	81	24	the	the	DET
ap-8601	81	25	porosity	porosity	NOUN
ap-8601	81	26	and	and	CCONJ
ap-8601	81	27	surface	surface	NOUN
ap-8601	81	28	roughness	roughness	NOUN
ap-8601	81	29	.	.	PUNCT
ap-8601	82	1	b	b	X
ap-8601	82	2	)	)	PUNCT
ap-8601	82	3	investigation	investigation	NOUN
ap-8601	82	4	of	of	ADP
ap-8601	82	5	the	the	DET
ap-8601	82	6	effect	effect	NOUN
ap-8601	82	7	ω	ω	X
ap-8601	82	8	,	,	PUNCT
ap-8601	82	9	h∗	h∗	PROPN
ap-8601	82	10	0	0	NUM
ap-8601	82	11	,	,	PUNCT
ap-8601	82	12	r∗	r∗	PROPN
ap-8601	82	13	0	0	NUM
ap-8601	82	14	,	,	PUNCT
ap-8601	82	15	c∗	c∗	NOUN
ap-8601	82	16	on	on	ADP
ap-8601	82	17	the	the	DET
ap-8601	82	18	trend	trend	NOUN
ap-8601	82	19	p	p	NOUN
ap-8601	82	20	∗	∗	NOUN
ap-8601	82	21	for	for	ADP
ap-8601	82	22	a	a	DET
ap-8601	82	23	constant	constant	ADJ
ap-8601	82	24	ω	ω	NOUN
ap-8601	82	25	.	.	PUNCT
ap-8601	82	26	determining	determine	VERB
ap-8601	82	27	the	the	DET
ap-8601	82	28	influence	influence	NOUN
ap-8601	82	29	of	of	ADP
ap-8601	82	30	ω	ω	PROPN
ap-8601	82	31	,	,	PUNCT
ap-8601	82	32	h∗	h∗	PROPN
ap-8601	82	33	0	0	NUM
ap-8601	82	34	,	,	PUNCT
ap-8601	82	35	r∗	r∗	PROPN
ap-8601	82	36	0	0	NUM
ap-8601	82	37	,	,	PUNCT
ap-8601	82	38	c∗	c∗	NOUN
ap-8601	82	39	on	on	ADP
ap-8601	82	40	the	the	DET
ap-8601	82	41	trend	trend	NOUN
ap-8601	82	42	w	w	NOUN
ap-8601	82	43	∗	∗	NOUN
ap-8601	82	44	for	for	ADP
ap-8601	82	45	a	a	DET
ap-8601	82	46	constant	constant	ADJ
ap-8601	82	47	h∗	h∗	NOUN
ap-8601	82	48	and	and	CCONJ
ap-8601	82	49	ω	ω	NOUN
ap-8601	82	50	.	.	PUNCT
ap-8601	83	1	c	c	X
ap-8601	83	2	)	)	PUNCT
ap-8601	83	3	the	the	DET
ap-8601	83	4	impact	impact	NOUN
ap-8601	83	5	of	of	ADP
ap-8601	83	6	ω	ω	PROPN
ap-8601	83	7	,	,	PUNCT
ap-8601	83	8	h∗	h∗	PROPN
ap-8601	83	9	0	0	NUM
ap-8601	83	10	,	,	PUNCT
ap-8601	83	11	r∗	r∗	PROPN
ap-8601	83	12	0	0	NUM
ap-8601	83	13	,	,	PUNCT
ap-8601	83	14	c∗	c∗	NOUN
ap-8601	83	15	on	on	ADP
ap-8601	83	16	t∗	t∗	NOUN
ap-8601	83	17	for	for	ADP
ap-8601	83	18	a	a	DET
ap-8601	83	19	constant	constant	ADJ
ap-8601	83	20	h∗	h∗	NOUN
ap-8601	83	21	and	and	CCONJ
ap-8601	83	22	ω	ω	PROPN
ap-8601	83	23	.	.	PUNCT
ap-8601	84	1	evaluation	evaluation	NOUN
ap-8601	84	2	of	of	ADP
ap-8601	84	3	the	the	DET
ap-8601	84	4	disc	disc	NOUN
ap-8601	84	5	’s	’s	PART
ap-8601	84	6	performance	performance	NOUN
ap-8601	84	7	in	in	ADP
ap-8601	84	8	various	various	ADJ
ap-8601	84	9	values	value	NOUN
ap-8601	84	10	of	of	ADP
ap-8601	84	11	ω	ω	PROPN
ap-8601	84	12	and	and	CCONJ
ap-8601	84	13	ω	ω	NOUN
ap-8601	84	14	.	.	PUNCT
ap-8601	85	1	we	we	PRON
ap-8601	85	2	highlighted	highlight	VERB
ap-8601	85	3	the	the	DET
ap-8601	85	4	below	below	ADJ
ap-8601	85	5	interesting	interesting	ADJ
ap-8601	85	6	points	point	NOUN
ap-8601	85	7	,	,	PUNCT
ap-8601	85	8	which	which	PRON
ap-8601	85	9	have	have	AUX
ap-8601	85	10	not	not	PART
ap-8601	85	11	been	be	AUX
ap-8601	85	12	addressed	address	VERB
ap-8601	85	13	in	in	ADP
ap-8601	85	14	the	the	DET
ap-8601	85	15	study	study	NOUN
ap-8601	85	16	of	of	ADP
ap-8601	85	17	lin	lin	PROPN
ap-8601	86	1	[	[	X
ap-8601	86	2	8	8	NUM
ap-8601	86	3	]	]	PUNCT
ap-8601	86	4	.	.	PUNCT
ap-8601	87	1	a	a	X
ap-8601	87	2	)	)	PUNCT
ap-8601	87	3	it	it	PRON
ap-8601	87	4	has	have	AUX
ap-8601	87	5	been	be	AUX
ap-8601	87	6	considered	consider	VERB
ap-8601	87	7	to	to	PART
ap-8601	87	8	apply	apply	VERB
ap-8601	87	9	the	the	DET
ap-8601	87	10	idea	idea	NOUN
ap-8601	87	11	of	of	ADP
ap-8601	87	12	a	a	DET
ap-8601	87	13	stochastic	stochastic	ADJ
ap-8601	87	14	process	process	NOUN
ap-8601	87	15	to	to	ADP
ap-8601	87	16	the	the	DET
ap-8601	87	17	problem	problem	NOUN
ap-8601	87	18	of	of	ADP
ap-8601	87	19	sr	sr	PROPN
ap-8601	87	20	in	in	ADP
ap-8601	87	21	annular	annular	ADJ
ap-8601	87	22	discs	disc	NOUN
ap-8601	87	23	.	.	PUNCT
ap-8601	88	1	in	in	ADP
ap-8601	88	2	conjunction	conjunction	NOUN
ap-8601	88	3	with	with	ADP
ap-8601	88	4	abrasive	abrasive	ADJ
ap-8601	88	5	bearing	bearing	NOUN
ap-8601	88	6	surfaces	surface	NOUN
ap-8601	88	7	,	,	PUNCT
ap-8601	88	8	two	two	NUM
ap-8601	88	9	distinct	distinct	ADJ
ap-8601	88	10	models	model	NOUN
ap-8601	88	11	of	of	ADP
ap-8601	88	12	hydrodynamic	hydrodynamic	ADJ
ap-8601	88	13	lubrication	lubrication	NOUN
ap-8601	88	14	are	be	AUX
ap-8601	88	15	created	create	VERB
ap-8601	88	16	.	.	PUNCT
ap-8601	89	1	the	the	DET
ap-8601	89	2	first	first	ADJ
ap-8601	89	3	of	of	ADP
ap-8601	89	4	these	these	DET
ap-8601	89	5	models	model	NOUN
ap-8601	89	6	is	be	AUX
ap-8601	89	7	associated	associate	VERB
ap-8601	89	8	with	with	ADP
ap-8601	89	9	a	a	DET
ap-8601	89	10	1	1	NUM
ap-8601	89	11	-	-	SYM
ap-8601	89	12	d	d	NOUN
ap-8601	89	13	,	,	PUNCT
ap-8601	89	14	azimuthal	azimuthal	ADJ
ap-8601	89	15	roughness	roughness	NOUN
ap-8601	89	16	,	,	PUNCT
ap-8601	89	17	and	and	CCONJ
ap-8601	89	18	the	the	DET
ap-8601	89	19	second	second	ADJ
ap-8601	89	20	model	model	NOUN
ap-8601	89	21	applies	apply	VERB
ap-8601	89	22	to	to	ADP
ap-8601	89	23	a	a	DET
ap-8601	89	24	1	1	NUM
ap-8601	89	25	-	-	PUNCT
ap-8601	89	26	d	d	NOUN
ap-8601	89	27	radial	radial	ADJ
ap-8601	89	28	roughness	roughness	NOUN
ap-8601	89	29	.	.	PUNCT
ap-8601	90	1	b	b	X
ap-8601	90	2	)	)	PUNCT
ap-8601	90	3	it	it	PRON
ap-8601	90	4	has	have	AUX
ap-8601	90	5	been	be	AUX
ap-8601	90	6	proposed	propose	VERB
ap-8601	90	7	that	that	SCONJ
ap-8601	90	8	disc	disc	NOUN
ap-8601	90	9	coating	coating	NOUN
ap-8601	90	10	has	have	VERB
ap-8601	90	11	a	a	DET
ap-8601	90	12	twopart	twopart	NOUN
ap-8601	90	13	geometry	geometry	NOUN
ap-8601	90	14	.	.	PUNCT
ap-8601	91	1	the	the	DET
ap-8601	91	2	large	large	ADJ
ap-8601	91	3	-	-	PUNCT
ap-8601	91	4	scale	scale	NOUN
ap-8601	91	5	portion	portion	NOUN
ap-8601	91	6	of	of	ADP
ap-8601	91	7	the	the	DET
ap-8601	91	8	film	film	NOUN
ap-8601	91	9	geometry	geometry	NOUN
ap-8601	91	10	,	,	PUNCT
ap-8601	91	11	including	include	VERB
ap-8601	91	12	any	any	DET
ap-8601	91	13	long	long	ADJ
ap-8601	91	14	wavelength	wavelength	NOUN
ap-8601	91	15	disturbances	disturbance	NOUN
ap-8601	91	16	,	,	PUNCT
ap-8601	91	17	is	be	AUX
ap-8601	91	18	measured	measure	VERB
ap-8601	91	19	in	in	ADP
ap-8601	91	20	the	the	DET
ap-8601	91	21	first	first	ADJ
ap-8601	91	22	component	component	NOUN
ap-8601	91	23	,	,	PUNCT
ap-8601	91	24	which	which	PRON
ap-8601	91	25	will	will	AUX
ap-8601	91	26	be	be	AUX
ap-8601	91	27	referred	refer	VERB
ap-8601	91	28	to	to	ADP
ap-8601	91	29	as	as	ADP
ap-8601	91	30	the	the	DET
ap-8601	91	31	thickness	thickness	NOUN
ap-8601	91	32	of	of	ADP
ap-8601	91	33	the	the	DET
ap-8601	91	34	nominal	nominal	ADJ
ap-8601	91	35	film	film	NOUN
ap-8601	91	36	.	.	PUNCT
ap-8601	92	1	the	the	DET
ap-8601	92	2	second	second	ADJ
ap-8601	92	3	component	component	NOUN
ap-8601	92	4	of	of	ADP
ap-8601	92	5	the	the	DET
ap-8601	92	6	film	film	NOUN
ap-8601	92	7	geometry	geometry	NOUN
ap-8601	92	8	is	be	AUX
ap-8601	92	9	the	the	DET
ap-8601	92	10	part	part	NOUN
ap-8601	92	11	caused	cause	VERB
ap-8601	92	12	by	by	ADP
ap-8601	92	13	sr	sr	PROPN
ap-8601	92	14	,	,	PUNCT
ap-8601	92	15	which	which	PRON
ap-8601	92	16	is	be	AUX
ap-8601	92	17	calculated	calculate	VERB
ap-8601	92	18	from	from	ADP
ap-8601	92	19	the	the	DET
ap-8601	92	20	nominal	nominal	ADJ
ap-8601	92	21	level	level	NOUN
ap-8601	92	22	and	and	CCONJ
ap-8601	92	23	is	be	AUX
ap-8601	92	24	thought	think	VERB
ap-8601	92	25	to	to	PART
ap-8601	92	26	change	change	VERB
ap-8601	92	27	at	at	ADP
ap-8601	92	28	random	random	ADJ
ap-8601	92	29	.	.	PUNCT
ap-8601	93	1	c	c	X
ap-8601	93	2	)	)	PUNCT
ap-8601	93	3	by	by	ADP
ap-8601	93	4	using	use	VERB
ap-8601	93	5	christensens	christensen	NOUN
ap-8601	93	6	stochastic	stochastic	ADJ
ap-8601	93	7	theory	theory	NOUN
ap-8601	93	8	,	,	PUNCT
ap-8601	93	9	an	an	DET
ap-8601	93	10	averaged	average	VERB
ap-8601	93	11	non	non	ADJ
ap-8601	93	12	-	-	ADJ
ap-8601	93	13	linear	linear	ADJ
ap-8601	93	14	modified	modified	ADJ
ap-8601	93	15	re	re	NOUN
ap-8601	93	16	equation	equation	NOUN
ap-8601	93	17	has	have	AUX
ap-8601	93	18	been	be	AUX
ap-8601	93	19	derived	derive	VERB
ap-8601	93	20	.	.	PUNCT
ap-8601	94	1	d	d	X
ap-8601	94	2	)	)	PUNCT
ap-8601	94	3	probability	probability	NOUN
ap-8601	94	4	density	density	NOUN
ap-8601	94	5	function	function	NOUN
ap-8601	94	6	,	,	PUNCT
ap-8601	94	7	expectation	expectation	NOUN
ap-8601	94	8	,	,	PUNCT
ap-8601	94	9	average	average	ADJ
ap-8601	94	10	,	,	PUNCT
ap-8601	94	11	and	and	CCONJ
ap-8601	94	12	variance	variance	NOUN
ap-8601	94	13	are	be	AUX
ap-8601	94	14	employed	employ	VERB
ap-8601	94	15	to	to	PART
ap-8601	94	16	reveal	reveal	VERB
ap-8601	94	17	the	the	DET
ap-8601	94	18	impacts	impact	NOUN
ap-8601	94	19	of	of	ADP
ap-8601	94	20	c∗	c∗	NOUN
ap-8601	94	21	for	for	ADP
ap-8601	94	22	p	p	PROPN
ap-8601	94	23	∗	∗	NOUN
ap-8601	94	24	,	,	PUNCT
ap-8601	94	25	w	w	NOUN
ap-8601	94	26	∗	∗	NOUN
ap-8601	94	27	and	and	CCONJ
ap-8601	94	28	t∗.	t∗.	PROPN
ap-8601	94	29	440	440	NUM
ap-8601	94	30	vol	vol	NOUN
ap-8601	94	31	.	.	PUNCT
ap-8601	95	1	63	63	NUM
ap-8601	96	1	no	no	NOUN
ap-8601	96	2	.	.	PUNCT
ap-8601	97	1	6/2023	6/2023	NUM
ap-8601	97	2	squeeze	squeeze	NOUN
ap-8601	97	3	film	film	NOUN
ap-8601	97	4	lubrication	lubrication	NOUN
ap-8601	97	5	between	between	ADP
ap-8601	97	6	rough	rough	ADJ
ap-8601	97	7	porous	porous	ADJ
ap-8601	97	8	annular	annular	ADJ
ap-8601	97	9	discs	disc	NOUN
ap-8601	97	10	(	(	PUNCT
ap-8601	97	11	a	a	NOUN
ap-8601	97	12	)	)	PUNCT
ap-8601	97	13	.	.	PUNCT
ap-8601	98	1	1detail	1detail	NUM
ap-8601	98	2			NUM
ap-8601	98	3	2radial	2radial	NUM
ap-8601	98	4	roughness	roughness	NOUN
ap-8601	98	5	azimuthal	azimuthal	VERB
ap-8601	98	6	roughnessdetail	roughnessdetail	ADJ
ap-8601	98	7	(	(	PUNCT
ap-8601	98	8	b	b	NOUN
ap-8601	98	9	)	)	PUNCT
ap-8601	98	10	.	.	PUNCT
ap-8601	99	1	figure	figure	NOUN
ap-8601	99	2	1	1	NUM
ap-8601	99	3	.	.	PUNCT
ap-8601	100	1	an	an	DET
ap-8601	100	2	illustrative	illustrative	ADJ
ap-8601	100	3	picture	picture	NOUN
ap-8601	100	4	showing	show	VERB
ap-8601	100	5	the	the	DET
ap-8601	100	6	physical	physical	ADJ
ap-8601	100	7	characteristics	characteristic	NOUN
ap-8601	100	8	of	of	ADP
ap-8601	100	9	a	a	DET
ap-8601	100	10	squeeze	squeeze	NOUN
ap-8601	100	11	film	film	NOUN
ap-8601	100	12	design	design	NOUN
ap-8601	100	13	(	(	PUNCT
ap-8601	100	14	a	a	NOUN
ap-8601	100	15	)	)	PUNCT
ap-8601	100	16	,	,	PUNCT
ap-8601	100	17	with	with	ADP
ap-8601	100	18	details	detail	NOUN
ap-8601	100	19	of	of	ADP
ap-8601	100	20	surface	surface	NOUN
ap-8601	100	21	roughness	roughness	NOUN
ap-8601	100	22	of	of	ADP
ap-8601	100	23	porous	porous	ADJ
ap-8601	100	24	rough	rough	ADJ
ap-8601	100	25	annular	annular	ADJ
ap-8601	100	26	disks	disk	NOUN
ap-8601	100	27	(	(	PUNCT
ap-8601	100	28	b	b	NOUN
ap-8601	100	29	)	)	PUNCT
ap-8601	100	30	.	.	PUNCT
ap-8601	101	1	in	in	ADP
ap-8601	101	2	the	the	DET
ap-8601	101	3	world	world	NOUN
ap-8601	101	4	of	of	ADP
ap-8601	101	5	engineering	engineering	NOUN
ap-8601	101	6	and	and	CCONJ
ap-8601	101	7	material	material	NOUN
ap-8601	101	8	science	science	NOUN
ap-8601	101	9	,	,	PUNCT
ap-8601	101	10	the	the	DET
ap-8601	101	11	investigation	investigation	NOUN
ap-8601	101	12	of	of	ADP
ap-8601	101	13	porous	porous	ADJ
ap-8601	101	14	surfaces	surface	NOUN
ap-8601	101	15	with	with	ADP
ap-8601	101	16	particular	particular	ADJ
ap-8601	101	17	roughness	roughness	NOUN
ap-8601	101	18	effects	effect	NOUN
ap-8601	101	19	on	on	ADP
ap-8601	101	20	annular	annular	ADJ
ap-8601	101	21	discs	disc	NOUN
ap-8601	101	22	is	be	AUX
ap-8601	101	23	a	a	DET
ap-8601	101	24	fresh	fresh	ADJ
ap-8601	101	25	and	and	CCONJ
ap-8601	101	26	fascinating	fascinating	ADJ
ap-8601	101	27	topic	topic	NOUN
ap-8601	101	28	of	of	ADP
ap-8601	101	29	study	study	NOUN
ap-8601	101	30	.	.	PUNCT
ap-8601	102	1	in	in	ADP
ap-8601	102	2	annular	annular	ADJ
ap-8601	102	3	discs	disc	NOUN
ap-8601	102	4	,	,	PUNCT
ap-8601	102	5	the	the	DET
ap-8601	102	6	combination	combination	NOUN
ap-8601	102	7	of	of	ADP
ap-8601	102	8	the	the	DET
ap-8601	102	9	notions	notion	NOUN
ap-8601	102	10	of	of	ADP
ap-8601	102	11	surface	surface	NOUN
ap-8601	102	12	porosity	porosity	NOUN
ap-8601	102	13	and	and	CCONJ
ap-8601	102	14	roughness	roughness	NOUN
ap-8601	102	15	is	be	AUX
ap-8601	102	16	new	new	ADJ
ap-8601	102	17	and	and	CCONJ
ap-8601	102	18	has	have	VERB
ap-8601	102	19	significant	significant	ADJ
ap-8601	102	20	implications	implication	NOUN
ap-8601	102	21	for	for	ADP
ap-8601	102	22	numerous	numerous	ADJ
ap-8601	102	23	applications	application	NOUN
ap-8601	102	24	.	.	PUNCT
ap-8601	103	1	here	here	ADV
ap-8601	103	2	,	,	PUNCT
ap-8601	103	3	we	we	PRON
ap-8601	103	4	describe	describe	VERB
ap-8601	103	5	the	the	DET
ap-8601	103	6	novelty	novelty	NOUN
ap-8601	103	7	and	and	CCONJ
ap-8601	103	8	possible	possible	ADJ
ap-8601	103	9	objectives	objective	NOUN
ap-8601	103	10	of	of	ADP
ap-8601	103	11	this	this	DET
ap-8601	103	12	research	research	NOUN
ap-8601	103	13	work	work	NOUN
ap-8601	103	14	in	in	ADP
ap-8601	103	15	this	this	DET
ap-8601	103	16	area	area	NOUN
ap-8601	103	17	.	.	PUNCT
ap-8601	104	1	1.2	1.2	NUM
ap-8601	104	2	.	.	PUNCT
ap-8601	104	3	novelty	novelty	NOUN
ap-8601	104	4	exploring	explore	VERB
ap-8601	104	5	the	the	DET
ap-8601	104	6	interactions	interaction	NOUN
ap-8601	104	7	between	between	ADP
ap-8601	104	8	surface	surface	NOUN
ap-8601	104	9	porosity	porosity	NOUN
ap-8601	104	10	and	and	CCONJ
ap-8601	104	11	roughness	roughness	NOUN
ap-8601	104	12	within	within	ADP
ap-8601	104	13	annular	annular	ADJ
ap-8601	104	14	discs	disc	NOUN
ap-8601	104	15	is	be	AUX
ap-8601	104	16	exclusive	exclusive	ADJ
ap-8601	104	17	.	.	PUNCT
ap-8601	105	1	investigators	investigator	NOUN
ap-8601	105	2	can	can	AUX
ap-8601	105	3	produce	produce	VERB
ap-8601	105	4	materials	material	NOUN
ap-8601	105	5	and	and	CCONJ
ap-8601	105	6	structures	structure	NOUN
ap-8601	105	7	with	with	ADP
ap-8601	105	8	different	different	ADJ
ap-8601	105	9	characteristics	characteristic	NOUN
ap-8601	105	10	and	and	CCONJ
ap-8601	105	11	capacities	capacity	NOUN
ap-8601	105	12	by	by	ADP
ap-8601	105	13	combining	combine	VERB
ap-8601	105	14	these	these	DET
ap-8601	105	15	two	two	NUM
ap-8601	105	16	features	feature	NOUN
ap-8601	105	17	,	,	PUNCT
ap-8601	105	18	which	which	PRON
ap-8601	105	19	is	be	AUX
ap-8601	105	20	not	not	PART
ap-8601	105	21	possible	possible	ADJ
ap-8601	105	22	by	by	ADP
ap-8601	105	23	researching	research	VERB
ap-8601	105	24	them	they	PRON
ap-8601	105	25	separately	separately	ADV
ap-8601	105	26	.	.	PUNCT
ap-8601	106	1	incorporating	incorporate	VERB
ap-8601	106	2	porous	porous	ADJ
ap-8601	106	3	and	and	CCONJ
ap-8601	106	4	rough	rough	ADJ
ap-8601	106	5	surfaces	surface	NOUN
ap-8601	106	6	into	into	ADP
ap-8601	106	7	circular	circular	ADJ
ap-8601	106	8	discs	disc	NOUN
ap-8601	106	9	can	can	AUX
ap-8601	106	10	increase	increase	VERB
ap-8601	106	11	the	the	DET
ap-8601	106	12	effectiveness	effectiveness	NOUN
ap-8601	106	13	of	of	ADP
ap-8601	106	14	heat	heat	NOUN
ap-8601	106	15	transfer	transfer	NOUN
ap-8601	106	16	.	.	PUNCT
ap-8601	107	1	applications	application	NOUN
ap-8601	107	2	like	like	ADP
ap-8601	107	3	heat	heat	NOUN
ap-8601	107	4	exchangers	exchanger	NOUN
ap-8601	107	5	,	,	PUNCT
ap-8601	107	6	where	where	SCONJ
ap-8601	107	7	an	an	DET
ap-8601	107	8	improved	improved	ADJ
ap-8601	107	9	thermal	thermal	ADJ
ap-8601	107	10	performance	performance	NOUN
ap-8601	107	11	can	can	AUX
ap-8601	107	12	result	result	VERB
ap-8601	107	13	in	in	ADP
ap-8601	107	14	energy	energy	NOUN
ap-8601	107	15	savings	saving	NOUN
ap-8601	107	16	,	,	PUNCT
ap-8601	107	17	are	be	AUX
ap-8601	107	18	particularly	particularly	ADV
ap-8601	107	19	interesting	interesting	ADJ
ap-8601	107	20	in	in	ADP
ap-8601	107	21	this	this	DET
ap-8601	107	22	area	area	NOUN
ap-8601	107	23	.	.	PUNCT
ap-8601	108	1	it	it	PRON
ap-8601	108	2	is	be	AUX
ap-8601	108	3	novel	novel	ADJ
ap-8601	108	4	to	to	PART
ap-8601	108	5	understand	understand	VERB
ap-8601	108	6	how	how	SCONJ
ap-8601	108	7	the	the	DET
ap-8601	108	8	interaction	interaction	NOUN
ap-8601	108	9	of	of	ADP
ap-8601	108	10	porosity	porosity	NOUN
ap-8601	108	11	and	and	CCONJ
ap-8601	108	12	roughness	roughness	NOUN
ap-8601	108	13	affects	affect	VERB
ap-8601	108	14	fluid	fluid	ADJ
ap-8601	108	15	flow	flow	NOUN
ap-8601	108	16	within	within	ADP
ap-8601	108	17	annular	annular	ADJ
ap-8601	108	18	discs	disc	NOUN
ap-8601	108	19	.	.	PUNCT
ap-8601	109	1	the	the	DET
ap-8601	109	2	knowledge	knowledge	NOUN
ap-8601	109	3	gained	gain	VERB
ap-8601	109	4	from	from	ADP
ap-8601	109	5	this	this	PRON
ap-8601	109	6	may	may	AUX
ap-8601	109	7	be	be	AUX
ap-8601	109	8	useful	useful	ADJ
ap-8601	109	9	for	for	ADP
ap-8601	109	10	fluidic	fluidic	ADJ
ap-8601	109	11	devices	device	NOUN
ap-8601	109	12	,	,	PUNCT
ap-8601	109	13	pumps	pump	NOUN
ap-8601	109	14	,	,	PUNCT
ap-8601	109	15	and	and	CCONJ
ap-8601	109	16	turbines	turbine	NOUN
ap-8601	109	17	.	.	PUNCT
ap-8601	110	1	to	to	PART
ap-8601	110	2	create	create	VERB
ap-8601	110	3	specific	specific	ADJ
ap-8601	110	4	porous	porous	ADJ
ap-8601	110	5	and	and	CCONJ
ap-8601	110	6	rough	rough	ADJ
ap-8601	110	7	structures	structure	NOUN
ap-8601	110	8	in	in	ADP
ap-8601	110	9	annular	annular	ADJ
ap-8601	110	10	discs	disc	NOUN
ap-8601	110	11	for	for	ADP
ap-8601	110	12	specialised	specialised	ADJ
ap-8601	110	13	purposes	purpose	NOUN
ap-8601	110	14	,	,	PUNCT
ap-8601	110	15	such	such	ADJ
ap-8601	110	16	as	as	ADP
ap-8601	110	17	biomedical	biomedical	ADJ
ap-8601	110	18	devices	device	NOUN
ap-8601	110	19	,	,	PUNCT
ap-8601	110	20	aircraft	aircraft	NOUN
ap-8601	110	21	components	component	NOUN
ap-8601	110	22	,	,	PUNCT
ap-8601	110	23	or	or	CCONJ
ap-8601	110	24	filtration	filtration	NOUN
ap-8601	110	25	systems	system	NOUN
ap-8601	110	26	,	,	PUNCT
ap-8601	110	27	novel	novel	ADJ
ap-8601	110	28	surface	surface	NOUN
ap-8601	110	29	modification	modification	NOUN
ap-8601	110	30	techniques	technique	NOUN
ap-8601	110	31	can	can	AUX
ap-8601	110	32	be	be	AUX
ap-8601	110	33	created	create	VERB
ap-8601	110	34	.	.	PUNCT
ap-8601	111	1	1.3	1.3	NUM
ap-8601	111	2	.	.	PUNCT
ap-8601	112	1	objective	objective	ADJ
ap-8601	112	2	one	one	NUM
ap-8601	112	3	of	of	ADP
ap-8601	112	4	the	the	DET
ap-8601	112	5	primary	primary	ADJ
ap-8601	112	6	objectives	objective	NOUN
ap-8601	112	7	is	be	AUX
ap-8601	112	8	to	to	PART
ap-8601	112	9	optimise	optimise	VERB
ap-8601	112	10	the	the	DET
ap-8601	112	11	design	design	NOUN
ap-8601	112	12	of	of	ADP
ap-8601	112	13	porous	porous	ADJ
ap-8601	112	14	and	and	CCONJ
ap-8601	112	15	rough	rough	ADJ
ap-8601	112	16	annular	annular	ADJ
ap-8601	112	17	discs	disc	NOUN
ap-8601	112	18	for	for	ADP
ap-8601	112	19	specific	specific	ADJ
ap-8601	112	20	applications	application	NOUN
ap-8601	112	21	.	.	PUNCT
ap-8601	113	1	researchers	researcher	NOUN
ap-8601	113	2	can	can	AUX
ap-8601	113	3	aim	aim	VERB
ap-8601	113	4	to	to	PART
ap-8601	113	5	maximise	maximise	VERB
ap-8601	113	6	heat	heat	NOUN
ap-8601	113	7	transfer	transfer	NOUN
ap-8601	113	8	efficiency	efficiency	NOUN
ap-8601	113	9	,	,	PUNCT
ap-8601	113	10	minimise	minimise	NOUN
ap-8601	113	11	pressure	pressure	NOUN
ap-8601	113	12	drop	drop	NOUN
ap-8601	113	13	,	,	PUNCT
ap-8601	113	14	or	or	CCONJ
ap-8601	113	15	enhance	enhance	VERB
ap-8601	113	16	filtration	filtration	NOUN
ap-8601	113	17	performance	performance	NOUN
ap-8601	113	18	,	,	PUNCT
ap-8601	113	19	depending	depend	VERB
ap-8601	113	20	on	on	ADP
ap-8601	113	21	the	the	DET
ap-8601	113	22	application	application	NOUN
ap-8601	113	23	requirements	requirement	NOUN
ap-8601	113	24	.	.	PUNCT
ap-8601	114	1	simulations	simulation	NOUN
ap-8601	114	2	can	can	AUX
ap-8601	114	3	be	be	AUX
ap-8601	114	4	done	do	VERB
ap-8601	114	5	by	by	ADP
ap-8601	114	6	developing	develop	VERB
ap-8601	114	7	an	an	DET
ap-8601	114	8	analytical	analytical	ADJ
ap-8601	114	9	model	model	NOUN
ap-8601	114	10	to	to	PART
ap-8601	114	11	predict	predict	VERB
ap-8601	114	12	how	how	SCONJ
ap-8601	114	13	different	different	ADJ
ap-8601	114	14	combinations	combination	NOUN
ap-8601	114	15	of	of	ADP
ap-8601	114	16	porosity	porosity	NOUN
ap-8601	114	17	and	and	CCONJ
ap-8601	114	18	roughness	roughness	NOUN
ap-8601	114	19	affect	affect	VERB
ap-8601	114	20	fluid	fluid	ADJ
ap-8601	114	21	flow	flow	NOUN
ap-8601	114	22	patterns	pattern	NOUN
ap-8601	114	23	and	and	CCONJ
ap-8601	114	24	structural	structural	ADJ
ap-8601	114	25	integrity	integrity	NOUN
ap-8601	114	26	within	within	ADP
ap-8601	114	27	annular	annular	ADJ
ap-8601	114	28	discs	disc	NOUN
ap-8601	114	29	.	.	PUNCT
ap-8601	115	1	overall	overall	ADV
ap-8601	115	2	,	,	PUNCT
ap-8601	115	3	the	the	DET
ap-8601	115	4	objectives	objective	NOUN
ap-8601	115	5	of	of	ADP
ap-8601	115	6	the	the	DET
ap-8601	115	7	research	research	NOUN
ap-8601	115	8	in	in	ADP
ap-8601	115	9	this	this	DET
ap-8601	115	10	area	area	NOUN
ap-8601	115	11	revolve	revolve	NOUN
ap-8601	115	12	around	around	ADP
ap-8601	115	13	optimising	optimise	VERB
ap-8601	115	14	the	the	DET
ap-8601	115	15	design	design	NOUN
ap-8601	115	16	,	,	PUNCT
ap-8601	115	17	understanding	understand	VERB
ap-8601	115	18	the	the	DET
ap-8601	115	19	behaviour	behaviour	NOUN
ap-8601	115	20	,	,	PUNCT
ap-8601	115	21	and	and	CCONJ
ap-8601	115	22	exploring	explore	VERB
ap-8601	115	23	the	the	DET
ap-8601	115	24	applications	application	NOUN
ap-8601	115	25	of	of	ADP
ap-8601	115	26	annular	annular	ADJ
ap-8601	115	27	discs	disc	NOUN
ap-8601	115	28	with	with	ADP
ap-8601	115	29	integrated	integrated	ADJ
ap-8601	115	30	porous	porous	ADJ
ap-8601	115	31	and	and	CCONJ
ap-8601	115	32	rough	rough	ADJ
ap-8601	115	33	surfaces	surface	NOUN
ap-8601	115	34	to	to	PART
ap-8601	115	35	meet	meet	VERB
ap-8601	115	36	the	the	DET
ap-8601	115	37	specific	specific	ADJ
ap-8601	115	38	needs	need	NOUN
ap-8601	115	39	of	of	ADP
ap-8601	115	40	various	various	ADJ
ap-8601	115	41	industries	industry	NOUN
ap-8601	115	42	and	and	CCONJ
ap-8601	115	43	technologies	technology	NOUN
ap-8601	115	44	.	.	PUNCT
ap-8601	116	1	2	2	X
ap-8601	116	2	.	.	X
ap-8601	116	3	problem	problem	NOUN
ap-8601	116	4	formulation	formulation	NOUN
ap-8601	116	5	the	the	DET
ap-8601	116	6	squeeze	squeeze	NOUN
ap-8601	116	7	film	film	NOUN
ap-8601	116	8	,	,	PUNCT
ap-8601	116	9	produced	produce	VERB
ap-8601	116	10	by	by	ADP
ap-8601	116	11	two	two	NUM
ap-8601	116	12	porous	porous	ADJ
ap-8601	116	13	annular	annular	ADJ
ap-8601	116	14	discs	disc	NOUN
ap-8601	116	15	with	with	ADP
ap-8601	116	16	inner	inner	ADJ
ap-8601	116	17	and	and	CCONJ
ap-8601	116	18	outer	outer	ADJ
ap-8601	116	19	radii	radius	NOUN
ap-8601	116	20	r̂1	r̂1	NOUN
ap-8601	116	21	and	and	CCONJ
ap-8601	116	22	r̂2	r̂2	PROPN
ap-8601	116	23	,	,	PUNCT
ap-8601	116	24	moving	move	VERB
ap-8601	116	25	toward	toward	ADP
ap-8601	116	26	one	one	NUM
ap-8601	116	27	another	another	DET
ap-8601	116	28	at	at	ADP
ap-8601	116	29	a	a	DET
ap-8601	116	30	squeeze	squeeze	NOUN
ap-8601	116	31	velocity	velocity	NOUN
ap-8601	116	32	(	(	PUNCT
ap-8601	116	33	−∂ĥ/∂t	−∂ĥ/∂t	PROPN
ap-8601	116	34	)	)	PUNCT
ap-8601	116	35	,	,	PUNCT
ap-8601	116	36	is	be	AUX
ap-8601	116	37	shown	show	VERB
ap-8601	116	38	in	in	ADP
ap-8601	116	39	figure	figure	NOUN
ap-8601	116	40	1	1	NUM
ap-8601	116	41	.	.	PUNCT
ap-8601	116	42	porous	porous	ADJ
ap-8601	116	43	media	medium	NOUN
ap-8601	116	44	with	with	ADP
ap-8601	116	45	thickness	thickness	NOUN
ap-8601	116	46	ĥ0	ĥ0	PROPN
ap-8601	116	47	and	and	CCONJ
ap-8601	116	48	capillary	capillary	ADJ
ap-8601	116	49	radii	radius	NOUN
ap-8601	116	50	r̂0	r̂0	NOUN
ap-8601	116	51	are	be	AUX
ap-8601	116	52	present	present	ADJ
ap-8601	116	53	in	in	ADP
ap-8601	116	54	the	the	DET
ap-8601	116	55	upper	upper	ADJ
ap-8601	116	56	disc	disc	NOUN
ap-8601	116	57	.	.	PUNCT
ap-8601	117	1	441	441	NUM
ap-8601	117	2	a.	a.	PROPN
ap-8601	117	3	k.	k.	PROPN
ap-8601	117	4	rahul	rahul	PROPN
ap-8601	117	5	,	,	PUNCT
ap-8601	117	6	m.	m.	PROPN
ap-8601	117	7	k.	k.	PROPN
ap-8601	117	8	singh	singh	PROPN
ap-8601	117	9	,	,	PUNCT
ap-8601	117	10	r.	r.	PROPN
ap-8601	117	11	tiwari	tiwari	PROPN
ap-8601	117	12	et	et	PROPN
ap-8601	117	13	al	al	PROPN
ap-8601	117	14	.	.	PROPN
ap-8601	117	15	acta	acta	PROPN
ap-8601	117	16	polytechnica	polytechnica	PROPN
ap-8601	117	17	3	3	NUM
ap-8601	117	18	.	.	PUNCT
ap-8601	117	19	mathematical	mathematical	ADJ
ap-8601	117	20	formulations	formulation	NOUN
ap-8601	117	21	and	and	CCONJ
ap-8601	117	22	solutions	solution	NOUN
ap-8601	117	23	the	the	DET
ap-8601	117	24	rfm	rfm	PROPN
ap-8601	117	25	is	be	AUX
ap-8601	117	26	also	also	ADV
ap-8601	117	27	known	know	VERB
ap-8601	117	28	as	as	ADP
ap-8601	117	29	the	the	DET
ap-8601	117	30	non	non	ADJ
ap-8601	117	31	-	-	ADJ
ap-8601	117	32	linear	linear	ADJ
ap-8601	117	33	cubic	cubic	ADJ
ap-8601	117	34	power	power	NOUN
ap-8601	117	35	that	that	PRON
ap-8601	117	36	correlates	correlate	VERB
ap-8601	117	37	the	the	DET
ap-8601	117	38	shear	shear	NOUN
ap-8601	117	39	stress	stress	NOUN
ap-8601	117	40	τr̂ẑ	τr̂ẑ	PUNCT
ap-8601	117	41	and	and	CCONJ
ap-8601	117	42	strain	strain	NOUN
ap-8601	117	43	rate	rate	NOUN
ap-8601	117	44	(	(	PUNCT
ap-8601	117	45	∂û/∂ẑ	∂û/∂ẑ	NOUN
ap-8601	117	46	)	)	PUNCT
ap-8601	117	47	.	.	PUNCT
ap-8601	118	1	it	it	PRON
ap-8601	118	2	is	be	AUX
ap-8601	118	3	described	describe	VERB
ap-8601	118	4	mathematically	mathematically	ADV
ap-8601	118	5	as	as	ADP
ap-8601	118	6	τr̂ẑ	τr̂ẑ	PROPN
ap-8601	118	7	=	=	PRON
ap-8601	118	8	µ̂	µ̂	X
ap-8601	118	9	∂û	∂û	NOUN
ap-8601	118	10	∂ẑ	∂ẑ	NOUN
ap-8601	118	11	−	−	PROPN
ap-8601	118	12	κτ3	κτ3	NOUN
ap-8601	118	13	r̂ẑ	r̂ẑ	NOUN
ap-8601	118	14	,	,	PUNCT
ap-8601	118	15	(	(	PUNCT
ap-8601	118	16	1	1	X
ap-8601	118	17	)	)	PUNCT
ap-8601	118	18	where	where	SCONJ
ap-8601	118	19	µ̂	µ̂	PRON
ap-8601	118	20	is	be	AUX
ap-8601	118	21	the	the	DET
ap-8601	118	22	dynamic	dynamic	ADJ
ap-8601	118	23	viscosity	viscosity	NOUN
ap-8601	118	24	of	of	ADP
ap-8601	118	25	the	the	DET
ap-8601	118	26	nnf	nnf	NOUN
ap-8601	118	27	.	.	PUNCT
ap-8601	119	1	the	the	DET
ap-8601	119	2	non	non	ADJ
ap-8601	119	3	-	-	ADJ
ap-8601	119	4	linear	linear	ADJ
ap-8601	119	5	component	component	NOUN
ap-8601	119	6	κ	κ	NOUN
ap-8601	119	7	,	,	PUNCT
ap-8601	119	8	which	which	PRON
ap-8601	119	9	defines	define	VERB
ap-8601	119	10	the	the	DET
ap-8601	119	11	feature	feature	NOUN
ap-8601	119	12	of	of	ADP
ap-8601	119	13	rfm	rfm	PROPN
ap-8601	119	14	,	,	PUNCT
ap-8601	119	15	can	can	AUX
ap-8601	119	16	be	be	AUX
ap-8601	119	17	used	use	VERB
ap-8601	119	18	to	to	PART
ap-8601	119	19	discriminate	discriminate	VERB
ap-8601	119	20	between	between	ADP
ap-8601	119	21	three	three	NUM
ap-8601	119	22	different	different	ADJ
ap-8601	119	23	types	type	NOUN
ap-8601	119	24	of	of	ADP
ap-8601	119	25	fluids	fluid	NOUN
ap-8601	119	26	.	.	PUNCT
ap-8601	120	1	•	•	NUM
ap-8601	120	2	the	the	DET
ap-8601	120	3	fluids	fluid	NOUN
ap-8601	120	4	are	be	AUX
ap-8601	120	5	referred	refer	VERB
ap-8601	120	6	to	to	ADP
ap-8601	120	7	as	as	ADP
ap-8601	120	8	pseudo	pseudo	NOUN
ap-8601	120	9	-	-	NOUN
ap-8601	120	10	plastic	plastic	NOUN
ap-8601	120	11	if	if	SCONJ
ap-8601	120	12	κ	κ	PROPN
ap-8601	120	13	>	>	X
ap-8601	120	14	0	0	NUM
ap-8601	120	15	,	,	PUNCT
ap-8601	120	16	•	•	ADP
ap-8601	120	17	the	the	DET
ap-8601	120	18	fluids	fluid	NOUN
ap-8601	120	19	are	be	AUX
ap-8601	120	20	referred	refer	VERB
ap-8601	120	21	to	to	ADP
ap-8601	120	22	as	as	ADV
ap-8601	120	23	newtonian	newtonian	ADJ
ap-8601	120	24	if	if	SCONJ
ap-8601	120	25	κ	κ	NOUN
ap-8601	120	26	=	=	SYM
ap-8601	120	27	0	0	NUM
ap-8601	120	28	,	,	PUNCT
ap-8601	120	29	•	•	ADP
ap-8601	120	30	the	the	DET
ap-8601	120	31	fluids	fluid	NOUN
ap-8601	120	32	are	be	AUX
ap-8601	120	33	referred	refer	VERB
ap-8601	120	34	to	to	ADP
ap-8601	120	35	as	as	ADP
ap-8601	120	36	dilatant	dilatant	PROPN
ap-8601	120	37	if	if	SCONJ
ap-8601	120	38	κ	κ	X
ap-8601	120	39	<	<	X
ap-8601	120	40	0	0	NUM
ap-8601	120	41	.	.	PUNCT
ap-8601	121	1	the	the	DET
ap-8601	121	2	following	follow	VERB
ap-8601	121	3	continuity	continuity	NOUN
ap-8601	121	4	and	and	CCONJ
ap-8601	121	5	momentum	momentum	NOUN
ap-8601	121	6	equations	equation	NOUN
ap-8601	121	7	have	have	AUX
ap-8601	121	8	been	be	AUX
ap-8601	121	9	used	use	VERB
ap-8601	121	10	to	to	PART
ap-8601	121	11	govern	govern	VERB
ap-8601	121	12	the	the	DET
ap-8601	121	13	governing	govern	VERB
ap-8601	121	14	equations	equation	NOUN
ap-8601	121	15	for	for	ADP
ap-8601	121	16	the	the	DET
ap-8601	121	17	rfm	rfm	PROPN
ap-8601	121	18	(	(	PUNCT
ap-8601	121	19	lin	lin	PROPN
ap-8601	122	1	[	[	X
ap-8601	122	2	8	8	NUM
ap-8601	122	3	]	]	PUNCT
ap-8601	122	4	;	;	PUNCT
ap-8601	122	5	rahul	rahul	PROPN
ap-8601	122	6	et	et	PROPN
ap-8601	122	7	al	al	PROPN
ap-8601	122	8	.	.	PUNCT
ap-8601	123	1	[	[	X
ap-8601	123	2	14	14	NUM
ap-8601	123	3	,	,	PUNCT
ap-8601	123	4	15	15	NUM
ap-8601	123	5	]	]	NUM
ap-8601	123	6	)	)	PUNCT
ap-8601	123	7	.	.	PUNCT
ap-8601	123	8	1	1	NUM
ap-8601	123	9	r̂	r̂	NOUN
ap-8601	123	10	∂(r̂û	∂(r̂û	PROPN
ap-8601	123	11	)	)	PUNCT
ap-8601	123	12	∂r̂	∂r̂	NOUN
ap-8601	124	1	+	+	CCONJ
ap-8601	124	2	∂ŵ	∂ŵ	NOUN
ap-8601	124	3	∂z	∂z	X
ap-8601	124	4	=	=	SYM
ap-8601	124	5	0	0	PROPN
ap-8601	124	6	,	,	PUNCT
ap-8601	124	7	(	(	PUNCT
ap-8601	124	8	2	2	X
ap-8601	124	9	)	)	PUNCT
ap-8601	124	10	∂p	∂p	ADJ
ap-8601	124	11	∂r̂	∂r̂	NOUN
ap-8601	125	1	−	−	PROPN
ap-8601	125	2	∂τr̂ẑ	∂τr̂ẑ	NOUN
ap-8601	125	3	∂ẑ	∂ẑ	X
ap-8601	126	1	=	=	PUNCT
ap-8601	126	2	0	0	NUM
ap-8601	126	3	,	,	PUNCT
ap-8601	126	4	(	(	PUNCT
ap-8601	126	5	3	3	X
ap-8601	126	6	)	)	PUNCT
ap-8601	126	7	∂p	∂p	NOUN
ap-8601	126	8	∂ẑ	∂ẑ	NOUN
ap-8601	127	1	=	=	PUNCT
ap-8601	127	2	0	0	X
ap-8601	127	3	.	.	PUNCT
ap-8601	128	1	(	(	PUNCT
ap-8601	128	2	4	4	X
ap-8601	128	3	)	)	PUNCT
ap-8601	128	4	rough	rough	ADJ
ap-8601	128	5	porous	porous	ADJ
ap-8601	128	6	annular	annular	ADJ
ap-8601	128	7	disc	disc	NOUN
ap-8601	128	8	boundary	boundary	ADJ
ap-8601	128	9	conditions	condition	NOUN
ap-8601	128	10	are	be	AUX
ap-8601	128	11	described	describe	VERB
ap-8601	128	12	by	by	ADP
ap-8601	128	13	equations	equation	NOUN
ap-8601	128	14	5	5	NUM
ap-8601	128	15	and	and	CCONJ
ap-8601	128	16	6	6	NUM
ap-8601	128	17	.	.	X
ap-8601	129	1	a	a	X
ap-8601	129	2	)	)	PUNCT
ap-8601	129	3	at	at	ADP
ap-8601	129	4	the	the	DET
ap-8601	129	5	upper	upper	ADJ
ap-8601	129	6	surface	surface	NOUN
ap-8601	129	7	:	:	PUNCT
ap-8601	130	1	ẑ	ẑ	X
ap-8601	130	2	=	=	SYM
ap-8601	130	3	0	0	NUM
ap-8601	130	4	:	:	PUNCT
ap-8601	131	1	û(r̂	û(r̂	ADJ
ap-8601	131	2	,	,	PUNCT
ap-8601	131	3	0	0	NUM
ap-8601	131	4	,	,	PUNCT
ap-8601	131	5	t̂	t̂	NUM
ap-8601	131	6	)	)	PUNCT
ap-8601	131	7	=	=	SYM
ap-8601	131	8	0	0	NUM
ap-8601	131	9	,	,	PUNCT
ap-8601	131	10	ŵ(r̂	ŵ(r̂	ADJ
ap-8601	131	11	,	,	PUNCT
ap-8601	131	12	0	0	NUM
ap-8601	131	13	,	,	PUNCT
ap-8601	131	14	t̂	t̂	NUM
ap-8601	131	15	)	)	PUNCT
ap-8601	131	16	=	=	PUNCT
ap-8601	132	1	ŵprs	ŵprs	ADP
ap-8601	132	2	(	(	PUNCT
ap-8601	132	3	5	5	NUM
ap-8601	132	4	)	)	PUNCT
ap-8601	132	5	b	b	NOUN
ap-8601	132	6	)	)	PUNCT
ap-8601	132	7	at	at	ADP
ap-8601	132	8	the	the	DET
ap-8601	132	9	lower	low	ADJ
ap-8601	132	10	surface	surface	NOUN
ap-8601	132	11	:	:	PUNCT
ap-8601	132	12	ẑ	ẑ	X
ap-8601	132	13	=	=	SYM
ap-8601	132	14	ĥ	ĥ	X
ap-8601	132	15	:	:	PUNCT
ap-8601	132	16	û(r̂	û(r̂	ADJ
ap-8601	132	17	,	,	PUNCT
ap-8601	132	18	ĥ	ĥ	PROPN
ap-8601	132	19	,	,	PUNCT
ap-8601	132	20	t̂	t̂	NUM
ap-8601	132	21	)	)	PUNCT
ap-8601	132	22	=	=	SYM
ap-8601	132	23	0	0	NUM
ap-8601	132	24	,	,	PUNCT
ap-8601	132	25	ŵ(r̂	ŵ(r̂	ADJ
ap-8601	132	26	,	,	PUNCT
ap-8601	132	27	ĥ	ĥ	PROPN
ap-8601	132	28	,	,	PUNCT
ap-8601	132	29	t̂	t̂	NUM
ap-8601	132	30	)	)	PUNCT
ap-8601	132	31	=	=	PUNCT
ap-8601	132	32	−∂ĥ	−∂ĥ	ADJ
ap-8601	132	33	∂t̂	∂t̂	NOUN
ap-8601	132	34	,	,	PUNCT
ap-8601	132	35	(	(	PUNCT
ap-8601	132	36	6	6	NUM
ap-8601	132	37	)	)	PUNCT
ap-8601	132	38	where	where	SCONJ
ap-8601	132	39	û(r̂	û(r̂	ADJ
ap-8601	132	40	,	,	PUNCT
ap-8601	132	41	ĥ	ĥ	PROPN
ap-8601	132	42	,	,	PUNCT
ap-8601	132	43	t̂	t̂	NUM
ap-8601	132	44	)	)	PUNCT
ap-8601	132	45	and	and	CCONJ
ap-8601	132	46	ŵ(r̂	ŵ(r̂	ADJ
ap-8601	132	47	,	,	PUNCT
ap-8601	132	48	ĥ	ĥ	PROPN
ap-8601	132	49	,	,	PUNCT
ap-8601	132	50	t̂	t̂	NUM
ap-8601	132	51	)	)	PUNCT
ap-8601	132	52	are	be	AUX
ap-8601	132	53	the	the	DET
ap-8601	132	54	components	component	NOUN
ap-8601	132	55	of	of	ADP
ap-8601	132	56	velocity	velocity	NOUN
ap-8601	132	57	in	in	ADP
ap-8601	132	58	r̂	r̂	NOUN
ap-8601	132	59	and	and	CCONJ
ap-8601	132	60	ẑ	ẑ	NUM
ap-8601	132	61	directions	direction	NOUN
ap-8601	132	62	,	,	PUNCT
ap-8601	132	63	respectively	respectively	ADV
ap-8601	132	64	.	.	PUNCT
ap-8601	133	1	ŵprs	ŵprs	ADV
ap-8601	133	2	is	be	AUX
ap-8601	133	3	the	the	DET
ap-8601	133	4	velocity	velocity	NOUN
ap-8601	133	5	of	of	ADP
ap-8601	133	6	a	a	DET
ap-8601	133	7	through	through	NOUN
ap-8601	133	8	-	-	PUNCT
ap-8601	133	9	flow	flow	NOUN
ap-8601	133	10	on	on	ADP
ap-8601	133	11	the	the	DET
ap-8601	133	12	upper	upper	ADJ
ap-8601	133	13	boundary	boundary	NOUN
ap-8601	133	14	of	of	ADP
ap-8601	133	15	the	the	DET
ap-8601	133	16	porous	porous	ADJ
ap-8601	133	17	layer	layer	NOUN
ap-8601	133	18	.	.	PUNCT
ap-8601	134	1	the	the	DET
ap-8601	134	2	velocity	velocity	NOUN
ap-8601	134	3	component	component	NOUN
ap-8601	134	4	û	û	PRON
ap-8601	134	5	is	be	AUX
ap-8601	134	6	determined	determine	VERB
ap-8601	134	7	by	by	ADP
ap-8601	134	8	substituting	substitute	VERB
ap-8601	134	9	equation	equation	NOUN
ap-8601	134	10	1	1	NUM
ap-8601	134	11	by	by	ADP
ap-8601	134	12	the	the	DET
ap-8601	134	13	above	above	ADJ
ap-8601	134	14	equation	equation	NOUN
ap-8601	134	15	3	3	NUM
ap-8601	134	16	and	and	CCONJ
ap-8601	134	17	integrating	integrate	VERB
ap-8601	134	18	while	while	SCONJ
ap-8601	134	19	taking	take	VERB
ap-8601	134	20	boundary	boundary	ADJ
ap-8601	134	21	conditions	condition	NOUN
ap-8601	134	22	equations	equation	NOUN
ap-8601	134	23	5	5	NUM
ap-8601	134	24	and	and	CCONJ
ap-8601	134	25	6	6	NUM
ap-8601	134	26	into	into	ADP
ap-8601	134	27	consideration	consideration	NOUN
ap-8601	134	28	.	.	PUNCT
ap-8601	135	1	û(r̂	û(r̂	ADJ
ap-8601	135	2	,	,	PUNCT
ap-8601	135	3	ẑ	ẑ	NUM
ap-8601	135	4	)	)	PUNCT
ap-8601	135	5	=	=	PUNCT
ap-8601	136	1	1	1	NUM
ap-8601	136	2	2µ̂	2µ̂	NUM
ap-8601	136	3	[	[	PUNCT
ap-8601	136	4	g(0)(ĥ	g(0)(ĥ	PROPN
ap-8601	136	5	,	,	PUNCT
ap-8601	136	6	ẑ)∂p	ẑ)∂p	NUM
ap-8601	136	7	∂r̂	∂r̂	X
ap-8601	137	1	+	+	CCONJ
ap-8601	137	2	κ	κ	X
ap-8601	137	3	(	(	PUNCT
ap-8601	137	4	∂p	∂p	ADJ
ap-8601	137	5	∂r̂	∂r̂	NOUN
ap-8601	137	6	)	)	PUNCT
ap-8601	137	7	3	3	NUM
ap-8601	137	8	g(1)(ĥ	g(1)(ĥ	NOUN
ap-8601	137	9	,	,	PUNCT
ap-8601	137	10	ẑ	ẑ	NUM
ap-8601	137	11	)	)	PUNCT
ap-8601	137	12	]	]	PUNCT
ap-8601	137	13	,	,	PUNCT
ap-8601	137	14	(	(	PUNCT
ap-8601	137	15	7	7	X
ap-8601	137	16	)	)	PUNCT
ap-8601	137	17	by	by	ADP
ap-8601	137	18	substituting	substitute	VERB
ap-8601	137	19	equation	equation	NOUN
ap-8601	137	20	7	7	NUM
ap-8601	137	21	into	into	ADP
ap-8601	137	22	equation	equation	NOUN
ap-8601	137	23	2	2	NUM
ap-8601	137	24	and	and	CCONJ
ap-8601	137	25	integrating	integrate	VERB
ap-8601	137	26	with	with	ADP
ap-8601	137	27	respect	respect	NOUN
ap-8601	137	28	to	to	ADP
ap-8601	137	29	ẑ	ẑ	NUM
ap-8601	137	30	,	,	PUNCT
ap-8601	137	31	we	we	PRON
ap-8601	137	32	obtained	obtain	VERB
ap-8601	137	33	1	1	NUM
ap-8601	137	34	r̂	r̂	NOUN
ap-8601	137	35	∂	∂	NUM
ap-8601	137	36	∂r̂	∂r̂	NOUN
ap-8601	137	37	{	{	PUNCT
ap-8601	137	38	r̂	r̂	NOUN
ap-8601	137	39	ẑ=ĥ∫	ẑ=ĥ∫	PROPN
ap-8601	137	40	ẑ=0	ẑ=0	NUM
ap-8601	137	41	1	1	NUM
ap-8601	137	42	2µ̂	2µ̂	NUM
ap-8601	137	43	[	[	PUNCT
ap-8601	137	44	g(0)(ĥ	g(0)(ĥ	PROPN
ap-8601	137	45	,	,	PUNCT
ap-8601	137	46	ẑ)∂p	ẑ)∂p	NUM
ap-8601	137	47	∂r̂	∂r̂	X
ap-8601	138	1	+	+	CCONJ
ap-8601	138	2	κ	κ	X
ap-8601	138	3	(	(	PUNCT
ap-8601	138	4	∂p	∂p	ADJ
ap-8601	138	5	∂r̂	∂r̂	NOUN
ap-8601	138	6	)	)	PUNCT
ap-8601	138	7	3	3	NUM
ap-8601	138	8	g(1)(ĥ	g(1)(ĥ	NOUN
ap-8601	138	9	,	,	PUNCT
ap-8601	138	10	ẑ	ẑ	NUM
ap-8601	138	11	)	)	PUNCT
ap-8601	138	12	]	]	PUNCT
ap-8601	139	1	dẑ	dẑ	PROPN
ap-8601	139	2	}	}	PUNCT
ap-8601	139	3	=	=	PUNCT
ap-8601	140	1	−	−	PRON
ap-8601	140	2	ẑ=ĥ∫	ẑ=ĥ∫	PROPN
ap-8601	140	3	ẑ=0	ẑ=0	PROPN
ap-8601	140	4	∂ŵ	∂ŵ	NOUN
ap-8601	140	5	∂ẑ	∂ẑ	PROPN
ap-8601	140	6	dẑ.	dẑ.	NOUN
ap-8601	140	7	(	(	PUNCT
ap-8601	140	8	8)	8)	NUM
ap-8601	140	9	the	the	DET
ap-8601	140	10	modified	modify	VERB
ap-8601	140	11	nlre	nlre	NOUN
ap-8601	140	12	for	for	ADP
ap-8601	140	13	the	the	DET
ap-8601	140	14	rough	rough	ADJ
ap-8601	140	15	porous	porous	ADJ
ap-8601	140	16	annular	annular	ADJ
ap-8601	140	17	discs	disc	NOUN
ap-8601	140	18	is	be	AUX
ap-8601	140	19	given	give	VERB
ap-8601	140	20	by	by	ADP
ap-8601	140	21	applying	apply	VERB
ap-8601	140	22	the	the	DET
ap-8601	140	23	boundary	boundary	ADJ
ap-8601	140	24	conditions	condition	NOUN
ap-8601	140	25	(	(	PUNCT
ap-8601	140	26	5	5	NUM
ap-8601	140	27	)	)	PUNCT
ap-8601	140	28	and	and	CCONJ
ap-8601	140	29	(	(	PUNCT
ap-8601	140	30	6	6	NUM
ap-8601	140	31	)	)	PUNCT
ap-8601	140	32	into	into	ADP
ap-8601	140	33	equation	equation	NOUN
ap-8601	140	34	8	8	NUM
ap-8601	140	35	as	as	SCONJ
ap-8601	140	36	follows	follow	VERB
ap-8601	140	37	:	:	PUNCT
ap-8601	140	38	1	1	NUM
ap-8601	140	39	r̂	r̂	NOUN
ap-8601	140	40	∂	∂	NUM
ap-8601	140	41	∂r̂	∂r̂	NOUN
ap-8601	140	42	[	[	PUNCT
ap-8601	140	43	r̂ĥ3	r̂ĥ3	X
ap-8601	140	44	{	{	PUNCT
ap-8601	140	45	(	(	PUNCT
ap-8601	140	46	∂p	∂p	ADJ
ap-8601	140	47	∂r̂	∂r̂	NOUN
ap-8601	140	48	)	)	PUNCT
ap-8601	141	1	+	+	CCONJ
ap-8601	141	2	3	3	NUM
ap-8601	141	3	20κĥ	20κĥ	NUM
ap-8601	141	4	2	2	NUM
ap-8601	141	5	(	(	PUNCT
ap-8601	141	6	∂p	∂p	PROPN
ap-8601	141	7	∂r̂	∂r̂	NOUN
ap-8601	141	8	)	)	PUNCT
ap-8601	141	9	3	3	X
ap-8601	141	10	}	}	PUNCT
ap-8601	141	11	]	]	PUNCT
ap-8601	142	1	=	=	SYM
ap-8601	142	2	12µ	12µ	NOUN
ap-8601	142	3	[	[	PUNCT
ap-8601	142	4	∂ĥ	∂ĥ	NOUN
ap-8601	142	5	∂t̂	∂t̂	X
ap-8601	142	6	−	−	PROPN
ap-8601	142	7	ŵprs	ŵprs	ADP
ap-8601	142	8	]	]	PUNCT
ap-8601	142	9	.	.	PUNCT
ap-8601	143	1	(	(	PUNCT
ap-8601	143	2	9	9	NUM
ap-8601	143	3	)	)	PUNCT
ap-8601	143	4	3.1	3.1	NUM
ap-8601	143	5	.	.	PUNCT
ap-8601	144	1	porous	porous	ADJ
ap-8601	144	2	wall	wall	NOUN
ap-8601	144	3	let	let	VERB
ap-8601	144	4	the	the	DET
ap-8601	144	5	non	non	ADJ
ap-8601	144	6	-	-	ADJ
ap-8601	144	7	newtonian	newtonian	ADJ
ap-8601	144	8	rf	rf	ADJ
ap-8601	144	9	flow	flow	NOUN
ap-8601	144	10	within	within	ADP
ap-8601	144	11	the	the	DET
ap-8601	144	12	porous	porous	ADJ
ap-8601	144	13	layer	layer	NOUN
ap-8601	144	14	follow	follow	VERB
ap-8601	144	15	the	the	DET
ap-8601	144	16	modified	modify	VERB
ap-8601	144	17	darcy	darcy	PROPN
ap-8601	144	18	’s	’s	PART
ap-8601	144	19	law	law	NOUN
ap-8601	144	20	and	and	CCONJ
ap-8601	144	21	the	the	DET
ap-8601	144	22	layer	layer	NOUN
ap-8601	144	23	be	be	AUX
ap-8601	144	24	isotropic	isotropic	ADJ
ap-8601	144	25	and	and	CCONJ
ap-8601	144	26	homogeneously	homogeneously	ADV
ap-8601	144	27	distributed	distribute	VERB
ap-8601	144	28	.	.	PUNCT
ap-8601	145	1	the	the	DET
ap-8601	145	2	capillary	capillary	ADJ
ap-8601	145	3	network	network	NOUN
ap-8601	145	4	that	that	PRON
ap-8601	145	5	makes	make	VERB
ap-8601	145	6	up	up	ADP
ap-8601	145	7	these	these	DET
ap-8601	145	8	homogeneous	homogeneous	ADJ
ap-8601	145	9	,	,	PUNCT
ap-8601	145	10	isotropic	isotropic	ADJ
ap-8601	145	11	porous	porous	ADJ
ap-8601	145	12	layers	layer	NOUN
ap-8601	145	13	has	have	VERB
ap-8601	145	14	an	an	DET
ap-8601	145	15	average	average	ADJ
ap-8601	145	16	radius	radius	NOUN
ap-8601	145	17	of	of	ADP
ap-8601	145	18	r̂0	r̂0	PROPN
ap-8601	145	19	and	and	CCONJ
ap-8601	145	20	porosity	porosity	NOUN
ap-8601	145	21	ψ̂.	ψ̂.	VERB
ap-8601	145	22	the	the	DET
ap-8601	145	23	axial	axial	ADJ
ap-8601	145	24	and	and	CCONJ
ap-8601	145	25	radial	radial	ADJ
ap-8601	145	26	components	component	NOUN
ap-8601	145	27	of	of	ADP
ap-8601	145	28	the	the	DET
ap-8601	145	29	velocity	velocity	NOUN
ap-8601	145	30	through	through	ADP
ap-8601	145	31	the	the	DET
ap-8601	145	32	porous	porous	ADJ
ap-8601	145	33	wall	wall	NOUN
ap-8601	145	34	transform	transform	NOUN
ap-8601	145	35	into	into	ADP
ap-8601	145	36	ûp	ûp	ADP
ap-8601	145	37	=	=	PRON
ap-8601	145	38	ψ̂	ψ̂	ADJ
ap-8601	145	39	µ̂	µ̂	X
ap-8601	145	40	(	(	PUNCT
ap-8601	145	41	−∂p	−∂p	X
ap-8601	145	42	∂r̂	∂r̂	NOUN
ap-8601	145	43	)	)	PUNCT
ap-8601	146	1	+	+	CCONJ
ap-8601	146	2	ψ̂	ψ̂	PUNCT
ap-8601	146	3	µ̂	µ̂	PRON
ap-8601	146	4	κr̂2	κr̂2	PROPN
ap-8601	146	5	0	0	PROPN
ap-8601	146	6	6	6	NUM
ap-8601	146	7	(	(	PUNCT
ap-8601	146	8	−∂p	−∂p	X
ap-8601	146	9	∂r̂	∂r̂	NOUN
ap-8601	146	10	)	)	PUNCT
ap-8601	146	11	3	3	NUM
ap-8601	146	12	,	,	PUNCT
ap-8601	146	13	(	(	PUNCT
ap-8601	146	14	10	10	NUM
ap-8601	146	15	)	)	PUNCT
ap-8601	146	16	ŵp	ŵp	PROPN
ap-8601	146	17	=	=	PUNCT
ap-8601	146	18	ψ̂	ψ̂	X
ap-8601	146	19	µ̂	µ̂	X
ap-8601	146	20	(	(	PUNCT
ap-8601	146	21	−∂p	−∂p	NOUN
ap-8601	146	22	∂ẑ	∂ẑ	NOUN
ap-8601	146	23	)	)	PUNCT
ap-8601	147	1	+	+	CCONJ
ap-8601	147	2	ψ̂	ψ̂	PUNCT
ap-8601	147	3	µ̂	µ̂	PRON
ap-8601	147	4	κr̂2	κr̂2	PROPN
ap-8601	147	5	0	0	PROPN
ap-8601	147	6	6	6	NUM
ap-8601	147	7	(	(	PUNCT
ap-8601	147	8	−∂p	−∂p	NOUN
ap-8601	147	9	∂ẑ	∂ẑ	NOUN
ap-8601	147	10	)	)	PUNCT
ap-8601	147	11	3	3	NUM
ap-8601	147	12	,	,	PUNCT
ap-8601	147	13	(	(	PUNCT
ap-8601	147	14	11	11	NUM
ap-8601	147	15	)	)	PUNCT
ap-8601	147	16	where	where	SCONJ
ap-8601	147	17	ϕ̂	ϕ̂	PROPN
ap-8601	147	18	is	be	AUX
ap-8601	147	19	the	the	DET
ap-8601	147	20	coefficient	coefficient	NOUN
ap-8601	147	21	of	of	ADP
ap-8601	147	22	porosity	porosity	NOUN
ap-8601	147	23	,	,	PUNCT
ap-8601	147	24	ûp	ûp	NOUN
ap-8601	147	25	,	,	PUNCT
ap-8601	147	26	ŵp	ŵp	VERB
ap-8601	147	27	and	and	CCONJ
ap-8601	147	28	ψ̂	ψ̂	PUNCT
ap-8601	147	29	=	=	SYM
ap-8601	147	30	ϕ̂r̂2	ϕ̂r̂2	PROPN
ap-8601	147	31	0/8	0/8	ADJ
ap-8601	147	32	stand	stand	NOUN
ap-8601	147	33	for	for	ADP
ap-8601	147	34	the	the	DET
ap-8601	147	35	velocity	velocity	NOUN
ap-8601	147	36	components	component	NOUN
ap-8601	147	37	and	and	CCONJ
ap-8601	147	38	permeability	permeability	NOUN
ap-8601	147	39	of	of	ADP
ap-8601	147	40	porous	porous	ADJ
ap-8601	147	41	layer	layer	NOUN
ap-8601	147	42	,	,	PUNCT
ap-8601	147	43	respectively	respectively	ADV
ap-8601	147	44	.	.	PUNCT
ap-8601	148	1	at	at	ADP
ap-8601	148	2	the	the	DET
ap-8601	148	3	porous	porous	ADJ
ap-8601	148	4	-	-	PUNCT
ap-8601	148	5	fluids	fluid	NOUN
ap-8601	148	6	functionality	functionality	NOUN
ap-8601	148	7	,	,	PUNCT
ap-8601	148	8	the	the	DET
ap-8601	148	9	cross	cross	ADJ
ap-8601	148	10	-	-	ADJ
ap-8601	148	11	velocity	velocity	ADJ
ap-8601	148	12	component	component	NOUN
ap-8601	148	13	ŵprs	ŵprs	PUNCT
ap-8601	148	14	is	be	AUX
ap-8601	148	15	always	always	ADV
ap-8601	148	16	continuous	continuous	ADJ
ap-8601	148	17	and	and	CCONJ
ap-8601	148	18	equals	equal	VERB
ap-8601	148	19	ŵp	ŵp	PROPN
ap-8601	148	20	.	.	PUNCT
ap-8601	149	1	i.e.	i.e.	X
ap-8601	149	2	(	(	PUNCT
ap-8601	149	3	ŵp)at	ŵp)at	NUM
ap-8601	149	4	ẑ=0	ẑ=0	NUM
ap-8601	149	5	=	=	SYM
ap-8601	149	6	(	(	PUNCT
ap-8601	149	7	ŵprs)at	ŵprs)at	PROPN
ap-8601	149	8	ẑ=0	ẑ=0	NUM
ap-8601	149	9	.	.	PUNCT
ap-8601	150	1	(	(	PUNCT
ap-8601	150	2	12	12	NUM
ap-8601	150	3	)	)	PUNCT
ap-8601	150	4	substituting	substitute	VERB
ap-8601	150	5	equation	equation	NOUN
ap-8601	150	6	12	12	NUM
ap-8601	150	7	into	into	ADP
ap-8601	150	8	equation	equation	NOUN
ap-8601	150	9	9	9	NUM
ap-8601	150	10	,	,	PUNCT
ap-8601	150	11	the	the	DET
ap-8601	150	12	result	result	NOUN
ap-8601	150	13	obtained	obtain	VERB
ap-8601	150	14	is	be	AUX
ap-8601	150	15	known	know	VERB
ap-8601	150	16	as	as	ADP
ap-8601	150	17	the	the	DET
ap-8601	150	18	modified	modified	ADJ
ap-8601	150	19	nlre	nlre	NOUN
ap-8601	150	20	which	which	PRON
ap-8601	150	21	is	be	AUX
ap-8601	150	22	expressed	express	VERB
ap-8601	150	23	as	as	ADP
ap-8601	150	24	:	:	PUNCT
ap-8601	150	25	1	1	NUM
ap-8601	150	26	r̂	r̂	NOUN
ap-8601	150	27	∂	∂	NUM
ap-8601	150	28	∂r̂	∂r̂	NOUN
ap-8601	150	29	[	[	PUNCT
ap-8601	150	30	r̂ĥ3	r̂ĥ3	X
ap-8601	150	31	{	{	PUNCT
ap-8601	150	32	(	(	PUNCT
ap-8601	150	33	∂p	∂p	ADJ
ap-8601	150	34	∂r̂	∂r̂	NOUN
ap-8601	150	35	)	)	PUNCT
ap-8601	151	1	+	+	CCONJ
ap-8601	151	2	3	3	NUM
ap-8601	151	3	20κĥ	20κĥ	NUM
ap-8601	151	4	2	2	NUM
ap-8601	151	5	(	(	PUNCT
ap-8601	151	6	∂p	∂p	PROPN
ap-8601	151	7	∂r̂	∂r̂	NOUN
ap-8601	151	8	)	)	PUNCT
ap-8601	151	9	3	3	X
ap-8601	151	10	}	}	PUNCT
ap-8601	151	11	]	]	PUNCT
ap-8601	152	1	=	=	SYM
ap-8601	152	2	12µ̂	12µ̂	NUM
ap-8601	152	3	[	[	PUNCT
ap-8601	152	4	dĥ	dĥ	PROPN
ap-8601	152	5	dt̂	dt̂	NOUN
ap-8601	152	6	−	−	PROPN
ap-8601	152	7	ψ̂	ψ̂	PUNCT
ap-8601	152	8	µ̂	µ̂	X
ap-8601	152	9	(	(	PUNCT
ap-8601	152	10	−∂p	−∂p	NOUN
ap-8601	152	11	∂ẑ	∂ẑ	NOUN
ap-8601	152	12	)	)	PUNCT
ap-8601	153	1	+	+	CCONJ
ap-8601	153	2	κr̂2	κr̂2	NOUN
ap-8601	153	3	0	0	NUM
ap-8601	153	4	6	6	NUM
ap-8601	153	5	(	(	PUNCT
ap-8601	153	6	−∂p	−∂p	NOUN
ap-8601	153	7	∂ẑ	∂ẑ	NOUN
ap-8601	153	8	)	)	PUNCT
ap-8601	153	9	3	3	X
ap-8601	153	10	]	]	PUNCT
ap-8601	153	11	ẑ=0	ẑ=0	PROPN
ap-8601	153	12	.	.	PUNCT
ap-8601	154	1	(	(	PUNCT
ap-8601	154	2	13	13	NUM
ap-8601	154	3	)	)	PUNCT
ap-8601	154	4	the	the	DET
ap-8601	154	5	modified	modify	VERB
ap-8601	154	6	version	version	NOUN
ap-8601	154	7	of	of	ADP
ap-8601	154	8	darcy	darcy	PROPN
ap-8601	154	9	’s	’s	PART
ap-8601	154	10	law	law	NOUN
ap-8601	154	11	satisfied	satisfy	VERB
ap-8601	154	12	equation	equation	NOUN
ap-8601	154	13	2	2	NUM
ap-8601	154	14	for	for	ADP
ap-8601	154	15	the	the	DET
ap-8601	154	16	porous	porous	ADJ
ap-8601	154	17	layer	layer	NOUN
ap-8601	154	18	(	(	PUNCT
ap-8601	154	19	walicka	walicka	NOUN
ap-8601	154	20	et	et	NOUN
ap-8601	154	21	al	al	PROPN
ap-8601	154	22	.	.	PUNCT
ap-8601	155	1	[	[	X
ap-8601	155	2	13	13	NUM
ap-8601	155	3	]	]	PUNCT
ap-8601	155	4	,	,	PUNCT
ap-8601	155	5	rao	rao	NOUN
ap-8601	155	6	and	and	CCONJ
ap-8601	155	7	rahul	rahul	PROPN
ap-8601	156	1	[	[	X
ap-8601	156	2	14	14	NUM
ap-8601	156	3	,	,	PUNCT
ap-8601	156	4	15	15	NUM
ap-8601	156	5	]	]	PUNCT
ap-8601	156	6	)	)	PUNCT
ap-8601	156	7	1	1	NUM
ap-8601	156	8	r̂	r̂	NOUN
ap-8601	156	9	∂(r̂ûp	∂(r̂ûp	NOUN
ap-8601	156	10	)	)	PUNCT
ap-8601	156	11	∂r̂	∂r̂	NOUN
ap-8601	157	1	+	+	CCONJ
ap-8601	157	2	∂ŵp	∂ŵp	PROPN
ap-8601	157	3	∂ẑ	∂ẑ	NOUN
ap-8601	157	4	=	=	PUNCT
ap-8601	157	5	0	0	X
ap-8601	157	6	.	.	PUNCT
ap-8601	157	7	(	(	PUNCT
ap-8601	157	8	14	14	NUM
ap-8601	157	9	)	)	PUNCT
ap-8601	157	10	by	by	ADP
ap-8601	157	11	substituting	substitute	VERB
ap-8601	157	12	equation	equation	NOUN
ap-8601	157	13	10	10	NUM
ap-8601	157	14	and	and	CCONJ
ap-8601	157	15	equation	equation	NOUN
ap-8601	157	16	11	11	NUM
ap-8601	157	17	into	into	ADP
ap-8601	157	18	equation	equation	NOUN
ap-8601	157	19	14	14	NUM
ap-8601	157	20	,	,	PUNCT
ap-8601	157	21	we	we	PRON
ap-8601	157	22	obtain	obtain	VERB
ap-8601	157	23	∂	∂	NUM
ap-8601	157	24	∂ẑ	∂ẑ	NOUN
ap-8601	158	1	[	[	X
ap-8601	158	2	(	(	PUNCT
ap-8601	158	3	−∂p	−∂p	NOUN
ap-8601	158	4	∂ẑ	∂ẑ	NOUN
ap-8601	158	5	)	)	PUNCT
ap-8601	159	1	+	+	CCONJ
ap-8601	159	2	κr̂2	κr̂2	NOUN
ap-8601	159	3	0	0	NUM
ap-8601	159	4	6	6	NUM
ap-8601	159	5	(	(	PUNCT
ap-8601	159	6	−∂p	−∂p	NOUN
ap-8601	159	7	∂ẑ	∂ẑ	NOUN
ap-8601	159	8	)	)	PUNCT
ap-8601	159	9	3	3	NUM
ap-8601	159	10	]	]	PUNCT
ap-8601	159	11	=	=	PUNCT
ap-8601	159	12	−1	−1	NOUN
ap-8601	159	13	r̂	r̂	NOUN
ap-8601	159	14	∂	∂	NOUN
ap-8601	159	15	∂r̂	∂r̂	NOUN
ap-8601	159	16	[	[	PUNCT
ap-8601	159	17	r̂	r̂	NOUN
ap-8601	159	18	{	{	PUNCT
ap-8601	159	19	(	(	PUNCT
ap-8601	159	20	−∂p	−∂p	X
ap-8601	159	21	∂r̂	∂r̂	NOUN
ap-8601	159	22	)	)	PUNCT
ap-8601	160	1	+	+	CCONJ
ap-8601	160	2	κr̂2	κr̂2	NOUN
ap-8601	160	3	0	0	NUM
ap-8601	160	4	6	6	NUM
ap-8601	160	5	(	(	PUNCT
ap-8601	160	6	−∂p	−∂p	X
ap-8601	160	7	∂r̂	∂r̂	NOUN
ap-8601	160	8	)	)	PUNCT
ap-8601	160	9	3	3	X
ap-8601	160	10	}	}	PUNCT
ap-8601	160	11	]	]	PUNCT
ap-8601	160	12	,	,	PUNCT
ap-8601	160	13	(	(	PUNCT
ap-8601	160	14	15	15	NUM
ap-8601	160	15	)	)	PUNCT
ap-8601	160	16	442	442	NUM
ap-8601	160	17	vol	vol	NOUN
ap-8601	160	18	.	.	PUNCT
ap-8601	161	1	63	63	NUM
ap-8601	161	2	no	no	NOUN
ap-8601	161	3	.	.	PUNCT
ap-8601	162	1	6/2023	6/2023	NUM
ap-8601	162	2	squeeze	squeeze	NOUN
ap-8601	162	3	film	film	NOUN
ap-8601	162	4	lubrication	lubrication	NOUN
ap-8601	162	5	between	between	ADP
ap-8601	162	6	rough	rough	ADJ
ap-8601	162	7	porous	porous	ADJ
ap-8601	162	8	annular	annular	ADJ
ap-8601	162	9	discs	disc	NOUN
ap-8601	162	10	integrating	integrate	VERB
ap-8601	162	11	equation	equation	NOUN
ap-8601	162	12	15	15	NUM
ap-8601	162	13	with	with	ADP
ap-8601	162	14	respect	respect	NOUN
ap-8601	162	15	to	to	ADP
ap-8601	162	16	ẑ	ẑ	NUM
ap-8601	162	17	over	over	ADP
ap-8601	162	18	the	the	DET
ap-8601	162	19	porous	porous	ADJ
ap-8601	162	20	layer	layer	NOUN
ap-8601	162	21	region	region	NOUN
ap-8601	162	22	[	[	X
ap-8601	162	23	−ĥ0	−ĥ0	NOUN
ap-8601	162	24	,	,	PUNCT
ap-8601	162	25	0	0	NUM
ap-8601	162	26	]	]	PUNCT
ap-8601	162	27	,	,	PUNCT
ap-8601	162	28	[	[	X
ap-8601	162	29	(	(	PUNCT
ap-8601	162	30	−∂p	−∂p	NOUN
ap-8601	162	31	∂ẑ	∂ẑ	NOUN
ap-8601	162	32	)	)	PUNCT
ap-8601	163	1	+	+	CCONJ
ap-8601	163	2	κr̂2	κr̂2	NOUN
ap-8601	163	3	0	0	NUM
ap-8601	163	4	6	6	NUM
ap-8601	163	5	(	(	PUNCT
ap-8601	163	6	−∂p	−∂p	NOUN
ap-8601	163	7	∂ẑ	∂ẑ	NOUN
ap-8601	163	8	)	)	PUNCT
ap-8601	163	9	3	3	X
ap-8601	163	10	]	]	PUNCT
ap-8601	163	11	ẑ=0	ẑ=0	PROPN
ap-8601	163	12	=	=	SYM
ap-8601	163	13	−1	−1	NOUN
ap-8601	163	14	r̂	r̂	PROPN
ap-8601	163	15	∂	∂	NUM
ap-8601	163	16	∂r̂	∂r̂	NOUN
ap-8601	163	17	r̂	r̂	NOUN
ap-8601	164	1	0∫	0∫	NUM
ap-8601	164	2	−ĥ0	−ĥ0	PROPN
ap-8601	164	3	[	[	X
ap-8601	164	4	(	(	PUNCT
ap-8601	164	5	−∂p	−∂p	X
ap-8601	164	6	∂r̂	∂r̂	NOUN
ap-8601	164	7	)	)	PUNCT
ap-8601	165	1	+	+	CCONJ
ap-8601	165	2	κr̂2	κr̂2	NOUN
ap-8601	165	3	0	0	NUM
ap-8601	165	4	6	6	NUM
ap-8601	165	5	(	(	PUNCT
ap-8601	165	6	−∂p	−∂p	X
ap-8601	165	7	∂r̂	∂r̂	NOUN
ap-8601	165	8	)	)	PUNCT
ap-8601	165	9	3	3	X
ap-8601	165	10	]	]	PUNCT
ap-8601	165	11	dẑ	dẑ	PROPN
ap-8601	165	12	,	,	PUNCT
ap-8601	165	13	(	(	PUNCT
ap-8601	165	14	16	16	NUM
ap-8601	165	15	)	)	PUNCT
ap-8601	165	16	since	since	SCONJ
ap-8601	165	17	[	[	X
ap-8601	165	18	(	(	PUNCT
ap-8601	165	19	−∂p	−∂p	NOUN
ap-8601	165	20	∂ẑ	∂ẑ	NOUN
ap-8601	165	21	)	)	PUNCT
ap-8601	166	1	+	+	CCONJ
ap-8601	166	2	κr̂2	κr̂2	NOUN
ap-8601	166	3	0	0	NUM
ap-8601	166	4	6	6	NUM
ap-8601	166	5	(	(	PUNCT
ap-8601	166	6	−∂p	−∂p	NOUN
ap-8601	166	7	∂ẑ	∂ẑ	NOUN
ap-8601	166	8	)	)	PUNCT
ap-8601	166	9	3	3	X
ap-8601	166	10	]	]	PUNCT
ap-8601	166	11	ẑ=−ĥ0	ẑ=−ĥ0	NOUN
ap-8601	166	12	=	=	SYM
ap-8601	166	13	0	0	NUM
ap-8601	166	14	,	,	PUNCT
ap-8601	166	15	(	(	PUNCT
ap-8601	166	16	17	17	NUM
ap-8601	166	17	)	)	PUNCT
ap-8601	166	18	for	for	ADP
ap-8601	166	19	small	small	ADJ
ap-8601	166	20	ĥ0	ĥ0	NOUN
ap-8601	166	21	,	,	PUNCT
ap-8601	166	22	we	we	PRON
ap-8601	166	23	obtain	obtain	VERB
ap-8601	166	24	[	[	PUNCT
ap-8601	166	25	(	(	PUNCT
ap-8601	166	26	−∂p	−∂p	NOUN
ap-8601	166	27	∂ẑ	∂ẑ	NOUN
ap-8601	166	28	)	)	PUNCT
ap-8601	167	1	+	+	CCONJ
ap-8601	167	2	κr̂2	κr̂2	NOUN
ap-8601	167	3	0	0	NUM
ap-8601	167	4	6	6	NUM
ap-8601	167	5	(	(	PUNCT
ap-8601	167	6	−∂p	−∂p	NOUN
ap-8601	167	7	∂ẑ	∂ẑ	NOUN
ap-8601	167	8	)	)	PUNCT
ap-8601	167	9	3	3	X
ap-8601	167	10	]	]	PUNCT
ap-8601	167	11	ẑ=0	ẑ=0	PROPN
ap-8601	167	12	≈	≈	PROPN
ap-8601	167	13	−ĥ0	−ĥ0	PROPN
ap-8601	167	14	r̂	r̂	NOUN
ap-8601	167	15	∂	∂	NUM
ap-8601	167	16	∂r̂	∂r̂	NOUN
ap-8601	167	17	[	[	PUNCT
ap-8601	167	18	r̂	r̂	NOUN
ap-8601	167	19	{	{	PUNCT
ap-8601	167	20	(	(	PUNCT
ap-8601	167	21	−∂p	−∂p	X
ap-8601	167	22	∂r̂	∂r̂	NOUN
ap-8601	167	23	)	)	PUNCT
ap-8601	168	1	+	+	CCONJ
ap-8601	168	2	κr̂2	κr̂2	NOUN
ap-8601	168	3	0	0	NUM
ap-8601	168	4	6	6	NUM
ap-8601	168	5	(	(	PUNCT
ap-8601	168	6	−∂p	−∂p	X
ap-8601	168	7	∂r̂	∂r̂	NOUN
ap-8601	168	8	)	)	PUNCT
ap-8601	168	9	3	3	X
ap-8601	168	10	}	}	PUNCT
ap-8601	168	11	]	]	PUNCT
ap-8601	169	1	ẑ=0	ẑ=0	PROPN
ap-8601	169	2	.	.	PUNCT
ap-8601	170	1	(	(	PUNCT
ap-8601	170	2	18	18	NUM
ap-8601	170	3	)	)	PUNCT
ap-8601	170	4	using	use	VERB
ap-8601	170	5	the	the	DET
ap-8601	170	6	morgan	morgan	PROPN
ap-8601	170	7	-	-	PUNCT
ap-8601	170	8	cameron	cameron	PROPN
ap-8601	170	9	approximation	approximation	NOUN
ap-8601	170	10	[	[	X
ap-8601	170	11	11	11	NUM
ap-8601	170	12	]	]	PUNCT
ap-8601	170	13	,	,	PUNCT
ap-8601	170	14	the	the	DET
ap-8601	170	15	equation	equation	NOUN
ap-8601	170	16	18	18	NUM
ap-8601	170	17	is	be	AUX
ap-8601	170	18	used	use	VERB
ap-8601	170	19	in	in	ADP
ap-8601	170	20	equation	equation	NOUN
ap-8601	170	21	13	13	NUM
ap-8601	170	22	,	,	PUNCT
ap-8601	170	23	the	the	DET
ap-8601	170	24	modified	modified	ADJ
ap-8601	170	25	nlre	nlre	NOUN
ap-8601	170	26	,	,	PUNCT
ap-8601	170	27	which	which	PRON
ap-8601	170	28	is	be	AUX
ap-8601	170	29	defined	define	VERB
ap-8601	170	30	as	as	ADP
ap-8601	170	31	1	1	NUM
ap-8601	170	32	r̂	r̂	NOUN
ap-8601	170	33	∂	∂	NUM
ap-8601	170	34	∂r̂	∂r̂	NOUN
ap-8601	170	35	[	[	PUNCT
ap-8601	170	36	r̂	r̂	X
ap-8601	170	37	{	{	PUNCT
ap-8601	170	38	f1(ĥ	f1(ĥ	PROPN
ap-8601	170	39	,	,	PUNCT
ap-8601	170	40	ϕ̂	ϕ̂	NUM
ap-8601	170	41	,	,	PUNCT
ap-8601	170	42	r̂0	r̂0	PROPN
ap-8601	170	43	,	,	PUNCT
ap-8601	170	44	ĥ0)∂p	ĥ0)∂p	NUM
ap-8601	170	45	∂r̂	∂r̂	NOUN
ap-8601	170	46	+	+	CCONJ
ap-8601	170	47	3	3	NUM
ap-8601	170	48	20κf2(ĥ	20κf2(ĥ	NUM
ap-8601	170	49	,	,	PUNCT
ap-8601	170	50	ϕ̂	ϕ̂	NUM
ap-8601	170	51	,	,	PUNCT
ap-8601	170	52	r̂0	r̂0	PROPN
ap-8601	170	53	,	,	PUNCT
ap-8601	170	54	ĥ0	ĥ0	PROPN
ap-8601	170	55	)	)	PUNCT
ap-8601	171	1	(	(	PUNCT
ap-8601	171	2	∂p	∂p	ADV
ap-8601	171	3	∂r̂	∂r̂	NOUN
ap-8601	171	4	)	)	PUNCT
ap-8601	172	1	3	3	X
ap-8601	172	2	}	}	PUNCT
ap-8601	172	3	]	]	PUNCT
ap-8601	172	4	=	=	SYM
ap-8601	173	1	12µ̂	12µ̂	NUM
ap-8601	173	2	(	(	PUNCT
ap-8601	173	3	dĥ	dĥ	PROPN
ap-8601	173	4	dt̂	dt̂	PROPN
ap-8601	173	5	)	)	PUNCT
ap-8601	173	6	,	,	PUNCT
ap-8601	173	7	(	(	PUNCT
ap-8601	173	8	19	19	NUM
ap-8601	173	9	)	)	PUNCT
ap-8601	173	10	where	where	SCONJ
ap-8601	173	11	f1(ĥ	f1(ĥ	PROPN
ap-8601	173	12	,	,	PUNCT
ap-8601	173	13	ϕ̂	ϕ̂	NUM
ap-8601	173	14	,	,	PUNCT
ap-8601	173	15	r̂0	r̂0	PROPN
ap-8601	173	16	,	,	PUNCT
ap-8601	173	17	ĥ0	ĥ0	PROPN
ap-8601	173	18	)	)	PUNCT
ap-8601	174	1	=	=	PRON
ap-8601	174	2	ĥ3	ĥ3	NOUN
ap-8601	175	1	−	−	NOUN
ap-8601	175	2	3	3	NUM
ap-8601	175	3	2	2	NUM
ap-8601	175	4	ϕ̂r̂	ϕ̂r̂	NOUN
ap-8601	175	5	2	2	NUM
ap-8601	175	6	0ĥ0	0ĥ0	PROPN
ap-8601	175	7	,	,	PUNCT
ap-8601	175	8	f2(ĥ	f2(ĥ	PROPN
ap-8601	175	9	,	,	PUNCT
ap-8601	175	10	ϕ̂	ϕ̂	NUM
ap-8601	175	11	,	,	PUNCT
ap-8601	175	12	r̂0	r̂0	PROPN
ap-8601	175	13	,	,	PUNCT
ap-8601	175	14	ĥ0	ĥ0	PROPN
ap-8601	175	15	)	)	PUNCT
ap-8601	176	1	=	=	PUNCT
ap-8601	177	1	ĥ5	ĥ5	NOUN
ap-8601	178	1	+	+	CCONJ
ap-8601	178	2	5	5	NUM
ap-8601	178	3	3	3	NUM
ap-8601	178	4	ϕ̂r̂	ϕ̂r̂	NOUN
ap-8601	178	5	4	4	NUM
ap-8601	178	6	0ĥ0	0ĥ0	NOUN
ap-8601	178	7	.	.	PUNCT
ap-8601	179	1	3.2	3.2	NUM
ap-8601	179	2	.	.	PUNCT
ap-8601	180	1	surface	surface	NOUN
ap-8601	180	2	roughness	roughness	NOUN
ap-8601	180	3	in	in	ADP
ap-8601	180	4	the	the	DET
ap-8601	180	5	case	case	NOUN
ap-8601	180	6	of	of	ADP
ap-8601	180	7	surface	surface	NOUN
ap-8601	180	8	roughness	roughness	NOUN
ap-8601	180	9	,	,	PUNCT
ap-8601	180	10	the	the	DET
ap-8601	180	11	concept	concept	NOUN
ap-8601	180	12	of	of	ADP
ap-8601	180	13	film	film	NOUN
ap-8601	180	14	thickness	thickness	NOUN
ap-8601	180	15	is	be	AUX
ap-8601	180	16	divided	divide	VERB
ap-8601	180	17	into	into	ADP
ap-8601	180	18	two	two	NUM
ap-8601	180	19	parts	part	NOUN
ap-8601	180	20	.	.	PUNCT
ap-8601	181	1	ĥ	ĥ	PUNCT
ap-8601	182	1	=	=	SYM
ap-8601	182	2	ĥ(r̂	ĥ(r̂	PROPN
ap-8601	182	3	)	)	PUNCT
ap-8601	183	1	+	+	CCONJ
ap-8601	184	1	ĥs(r̂	ĥs(r̂	ADJ
ap-8601	184	2	,	,	PUNCT
ap-8601	184	3	θ	θ	PROPN
ap-8601	184	4	,	,	PUNCT
ap-8601	184	5	ξ	ξ	NOUN
ap-8601	184	6	)	)	PUNCT
ap-8601	184	7	,	,	PUNCT
ap-8601	184	8	(	(	PUNCT
ap-8601	184	9	20	20	NUM
ap-8601	184	10	)	)	PUNCT
ap-8601	184	11	where	where	SCONJ
ap-8601	184	12	ĥ(r̂	ĥ(r̂	NOUN
ap-8601	184	13	)	)	PUNCT
ap-8601	184	14	represents	represent	VERB
ap-8601	184	15	the	the	DET
ap-8601	184	16	apparent	apparent	ADJ
ap-8601	184	17	smooth	smooth	ADJ
ap-8601	184	18	part	part	NOUN
ap-8601	184	19	of	of	ADP
ap-8601	184	20	the	the	DET
ap-8601	184	21	film	film	NOUN
ap-8601	184	22	geometry	geometry	NOUN
ap-8601	184	23	,	,	PUNCT
ap-8601	184	24	ĥs	ĥs	PROPN
ap-8601	184	25	=	=	NOUN
ap-8601	184	26	δ1	δ1	NOUN
ap-8601	184	27	+	+	CCONJ
ap-8601	184	28	δ2	δ2	VERB
ap-8601	184	29	provides	provide	VERB
ap-8601	184	30	the	the	DET
ap-8601	184	31	arbitrary	arbitrary	ADJ
ap-8601	184	32	region	region	NOUN
ap-8601	184	33	resulting	result	VERB
ap-8601	184	34	from	from	ADP
ap-8601	184	35	sr	sr	PROPN
ap-8601	184	36	irregularities	irregularity	NOUN
ap-8601	184	37	measured	measure	VERB
ap-8601	184	38	from	from	ADP
ap-8601	184	39	the	the	DET
ap-8601	184	40	apparent	apparent	ADJ
ap-8601	184	41	level	level	NOUN
ap-8601	184	42	,	,	PUNCT
ap-8601	184	43	and	and	CCONJ
ap-8601	184	44	ξ	ξ	PROPN
ap-8601	184	45	represents	represent	VERB
ap-8601	184	46	the	the	DET
ap-8601	184	47	irregular	irregular	ADJ
ap-8601	184	48	variable	variable	NOUN
ap-8601	184	49	that	that	PRON
ap-8601	184	50	represents	represent	VERB
ap-8601	184	51	the	the	DET
ap-8601	184	52	apparent	apparent	ADJ
ap-8601	184	53	positive	positive	ADJ
ap-8601	184	54	definite	definite	ADJ
ap-8601	184	55	roughness	roughness	NOUN
ap-8601	184	56	arrangement	arrangement	NOUN
ap-8601	184	57	.	.	PUNCT
ap-8601	185	1	the	the	DET
ap-8601	185	2	gaussian	gaussian	ADJ
ap-8601	185	3	distribution	distribution	NOUN
ap-8601	185	4	is	be	AUX
ap-8601	185	5	used	use	VERB
ap-8601	185	6	to	to	PART
ap-8601	185	7	calculate	calculate	VERB
ap-8601	185	8	the	the	DET
ap-8601	185	9	roughness	roughness	NOUN
ap-8601	185	10	profile	profile	NOUN
ap-8601	185	11	heights	height	NOUN
ap-8601	185	12	that	that	PRON
ap-8601	185	13	are	be	AUX
ap-8601	185	14	valid	valid	ADJ
ap-8601	185	15	up	up	ADP
ap-8601	185	16	to	to	PART
ap-8601	185	17	three	three	NUM
ap-8601	185	18	standard	standard	ADJ
ap-8601	185	19	deviations	deviation	NOUN
ap-8601	185	20	or	or	CCONJ
ap-8601	185	21	more	more	ADJ
ap-8601	185	22	for	for	ADP
ap-8601	185	23	a	a	DET
ap-8601	185	24	range	range	NOUN
ap-8601	185	25	of	of	ADP
ap-8601	185	26	lubricated	lubricate	VERB
ap-8601	185	27	rough	rough	ADJ
ap-8601	185	28	surfaces	surface	NOUN
ap-8601	185	29	.	.	PUNCT
ap-8601	186	1	a	a	DET
ap-8601	186	2	likelihood	likelihood	NOUN
ap-8601	186	3	rough	rough	ADJ
ap-8601	186	4	distribution	distribution	NOUN
ap-8601	186	5	function	function	NOUN
ap-8601	186	6	is	be	AUX
ap-8601	186	7	defined	define	VERB
ap-8601	186	8	by	by	ADP
ap-8601	186	9	christensen	christensen	PROPN
ap-8601	186	10	[	[	X
ap-8601	186	11	16	16	NUM
ap-8601	186	12	]	]	X
ap-8601	186	13	:	:	PUNCT
ap-8601	186	14	f(ĥs	f(ĥs	NOUN
ap-8601	186	15	)	)	PUNCT
ap-8601	187	1	=	=	PRON
ap-8601	187	2	{	{	PUNCT
ap-8601	187	3	35	35	NUM
ap-8601	187	4	32c7	32c7	NUM
ap-8601	187	5	(	(	PUNCT
ap-8601	187	6	c2	c2	PROPN
ap-8601	187	7	−	−	PROPN
ap-8601	187	8	ĥ2	ĥ2	ADV
ap-8601	187	9	s)3	s)3	PROPN
ap-8601	187	10	,	,	PUNCT
ap-8601	187	11	−c	−c	ADJ
ap-8601	187	12	≤	≤	NOUN
ap-8601	187	13	ĥs	ĥs	X
ap-8601	187	14	≤	≤	X
ap-8601	188	1	+	+	ADP
ap-8601	188	2	c	c	NOUN
ap-8601	188	3	0	0	NUM
ap-8601	188	4	,	,	PUNCT
ap-8601	188	5	elsewhere	elsewhere	ADV
ap-8601	188	6	(	(	PUNCT
ap-8601	188	7	21	21	NUM
ap-8601	188	8	)	)	PUNCT
ap-8601	188	9	where	where	SCONJ
ap-8601	188	10	c	c	PROPN
ap-8601	188	11	denotes	denote	VERB
ap-8601	188	12	the	the	DET
ap-8601	188	13	maximum	maximum	ADJ
ap-8601	188	14	deviation	deviation	NOUN
ap-8601	188	15	from	from	ADP
ap-8601	188	16	the	the	DET
ap-8601	188	17	mean	mean	ADJ
ap-8601	188	18	film	film	NOUN
ap-8601	188	19	thickness	thickness	NOUN
ap-8601	188	20	,	,	PUNCT
ap-8601	188	21	i.e.	i.e.	X
ap-8601	188	22	,	,	PUNCT
ap-8601	188	23	c	c	NOUN
ap-8601	188	24	=	=	SYM
ap-8601	188	25	±3σ	±3σ	NOUN
ap-8601	188	26	,	,	PUNCT
ap-8601	188	27	where	where	SCONJ
ap-8601	188	28	σ	σ	PROPN
ap-8601	188	29	is	be	AUX
ap-8601	188	30	the	the	DET
ap-8601	188	31	standard	standard	ADJ
ap-8601	188	32	deviation	deviation	NOUN
ap-8601	188	33	.	.	PUNCT
ap-8601	189	1	using	use	VERB
ap-8601	189	2	expected	expect	VERB
ap-8601	189	3	values	value	NOUN
ap-8601	189	4	in	in	ADP
ap-8601	189	5	equation	equation	NOUN
ap-8601	189	6	21	21	NUM
ap-8601	189	7	,	,	PUNCT
ap-8601	189	8	we	we	PRON
ap-8601	189	9	obtain	obtain	VERB
ap-8601	189	10	the	the	DET
ap-8601	189	11	following	follow	VERB
ap-8601	189	12	equation	equation	NOUN
ap-8601	189	13	of	of	ADP
ap-8601	189	14	the	the	DET
ap-8601	189	15	averaged	average	VERB
ap-8601	189	16	nlre	nlre	NOUN
ap-8601	189	17	:	:	PUNCT
ap-8601	189	18	1	1	NUM
ap-8601	189	19	r̂	r̂	NOUN
ap-8601	189	20	∂	∂	NUM
ap-8601	189	21	∂r̂	∂r̂	NOUN
ap-8601	189	22	[	[	PUNCT
ap-8601	189	23	r̂	r̂	NOUN
ap-8601	189	24	(	(	PUNCT
ap-8601	189	25	e	e	X
ap-8601	189	26	{	{	PUNCT
ap-8601	189	27	f1(ĥ	f1(ĥ	PROPN
ap-8601	189	28	,	,	PUNCT
ap-8601	189	29	ϕ̂	ϕ̂	NUM
ap-8601	189	30	,	,	PUNCT
ap-8601	189	31	r̂0	r̂0	PROPN
ap-8601	189	32	,	,	PUNCT
ap-8601	189	33	ĥ0	ĥ0	PROPN
ap-8601	189	34	)	)	PUNCT
ap-8601	189	35	}	}	PUNCT
ap-8601	189	36	∂e(p	∂e(p	PROPN
ap-8601	189	37	)	)	PUNCT
ap-8601	189	38	∂r̂	∂r̂	NOUN
ap-8601	190	1	+	+	CCONJ
ap-8601	190	2	3	3	NUM
ap-8601	190	3	20κe	20κe	NOUN
ap-8601	190	4	{	{	PUNCT
ap-8601	190	5	f2(ĥ	f2(ĥ	PROPN
ap-8601	190	6	,	,	PUNCT
ap-8601	190	7	ϕ̂	ϕ̂	NUM
ap-8601	190	8	,	,	PUNCT
ap-8601	190	9	r̂0	r̂0	PROPN
ap-8601	190	10	,	,	PUNCT
ap-8601	190	11	ĥ0	ĥ0	PROPN
ap-8601	190	12	)	)	PUNCT
ap-8601	190	13	}	}	PUNCT
ap-8601	190	14	(	(	PUNCT
ap-8601	190	15	∂e(p	∂e(p	PROPN
ap-8601	190	16	)	)	PUNCT
ap-8601	190	17	∂r̂	∂r̂	NOUN
ap-8601	190	18	)	)	PUNCT
ap-8601	190	19	3	3	X
ap-8601	190	20	]	]	PUNCT
ap-8601	190	21	=	=	SYM
ap-8601	190	22	12µ̂de(ĥ	12µ̂de(ĥ	X
ap-8601	190	23	)	)	PUNCT
ap-8601	190	24	dt̂	dt̂	NOUN
ap-8601	190	25	.	.	PUNCT
ap-8601	191	1	(	(	PUNCT
ap-8601	191	2	22	22	NUM
ap-8601	191	3	)	)	PUNCT
ap-8601	191	4	the	the	DET
ap-8601	191	5	expectation	expectation	NOUN
ap-8601	191	6	operator	operator	NOUN
ap-8601	191	7	e	e	NOUN
ap-8601	191	8	(	(	PUNCT
ap-8601	191	9	·	·	PUNCT
ap-8601	191	10	)	)	PUNCT
ap-8601	191	11	is	be	AUX
ap-8601	191	12	expressed	express	VERB
ap-8601	191	13	as	as	SCONJ
ap-8601	191	14	follows	follow	VERB
ap-8601	191	15	:	:	PUNCT
ap-8601	191	16	e	e	X
ap-8601	191	17	(	(	PUNCT
ap-8601	191	18	·	·	PUNCT
ap-8601	191	19	)	)	PUNCT
ap-8601	191	20	=	=	PUNCT
ap-8601	192	1	+	+	NOUN
ap-8601	192	2	c∫	c∫	ADJ
ap-8601	192	3	−c	−c	NOUN
ap-8601	192	4	(	(	PUNCT
ap-8601	192	5	·	·	PUNCT
ap-8601	192	6	)	)	PUNCT
ap-8601	192	7	f(hs)dhs	f(hs)dhs	PROPN
ap-8601	192	8	.	.	PUNCT
ap-8601	193	1	(	(	PUNCT
ap-8601	193	2	23	23	NUM
ap-8601	193	3	)	)	PUNCT
ap-8601	193	4	by	by	ADP
ap-8601	193	5	using	use	VERB
ap-8601	193	6	stochastic	stochastic	ADJ
ap-8601	193	7	theory	theory	NOUN
ap-8601	193	8	,	,	PUNCT
ap-8601	193	9	christensen	christensen	PROPN
ap-8601	194	1	[	[	X
ap-8601	194	2	16	16	NUM
ap-8601	194	3	]	]	PUNCT
ap-8601	194	4	has	have	AUX
ap-8601	194	5	proposed	propose	VERB
ap-8601	194	6	two	two	NUM
ap-8601	194	7	different	different	ADJ
ap-8601	194	8	types	type	NOUN
ap-8601	194	9	of	of	ADP
ap-8601	194	10	1	1	NUM
ap-8601	194	11	-	-	PUNCT
ap-8601	194	12	d	d	NOUN
ap-8601	194	13	roughness	roughness	NOUN
ap-8601	194	14	patterns	pattern	NOUN
ap-8601	194	15	:	:	PUNCT
ap-8601	194	16	azimuthal	azimuthal	NOUN
ap-8601	194	17	and	and	CCONJ
ap-8601	194	18	radial	radial	ADJ
ap-8601	194	19	patterns	pattern	NOUN
ap-8601	194	20	.	.	PUNCT
ap-8601	195	1	the	the	DET
ap-8601	195	2	patterns	pattern	NOUN
ap-8601	195	3	of	of	ADP
ap-8601	195	4	roughness	roughness	NOUN
ap-8601	195	5	are	be	AUX
ap-8601	195	6	confined	confine	VERB
ap-8601	195	7	edges	edge	NOUN
ap-8601	195	8	and	and	CCONJ
ap-8601	195	9	valleys	valley	NOUN
ap-8601	195	10	flowing	flow	VERB
ap-8601	195	11	in	in	ADP
ap-8601	195	12	the	the	DET
ap-8601	195	13	same	same	ADJ
ap-8601	195	14	direction	direction	NOUN
ap-8601	195	15	.	.	PUNCT
ap-8601	196	1	the	the	DET
ap-8601	196	2	film	film	NOUN
ap-8601	196	3	thickness	thickness	NOUN
ap-8601	196	4	region	region	NOUN
ap-8601	196	5	for	for	ADP
ap-8601	196	6	the	the	DET
ap-8601	196	7	one	one	NUM
ap-8601	196	8	-	-	PUNCT
ap-8601	196	9	dimensional	dimensional	ADJ
ap-8601	196	10	radial	radial	ADJ
ap-8601	196	11	and	and	CCONJ
ap-8601	196	12	azimuthal	azimuthal	NOUN
ap-8601	196	13	roughness	roughness	NOUN
ap-8601	196	14	is	be	AUX
ap-8601	196	15	represented	represent	VERB
ap-8601	196	16	as	as	SCONJ
ap-8601	196	17	follows	follow	VERB
ap-8601	196	18	:	:	PUNCT
ap-8601	196	19	ĥ	ĥ	X
ap-8601	196	20	=	=	PUNCT
ap-8601	196	21	{	{	PUNCT
ap-8601	196	22	ĥ(r̂	ĥ(r̂	PROPN
ap-8601	196	23	)	)	PUNCT
ap-8601	197	1	+	+	CCONJ
ap-8601	197	2	ĥs(θ	ĥs(θ	NUM
ap-8601	197	3	,	,	PUNCT
ap-8601	197	4	ξ	ξ	NOUN
ap-8601	197	5	)	)	PUNCT
ap-8601	197	6	,	,	PUNCT
ap-8601	197	7	radial	radial	ADJ
ap-8601	197	8	roughness	roughness	NOUN
ap-8601	197	9	ĥ(r̂	ĥ(r̂	NOUN
ap-8601	197	10	)	)	PUNCT
ap-8601	198	1	+	+	CCONJ
ap-8601	198	2	ĥs(r̂	ĥs(r̂	ADJ
ap-8601	198	3	,	,	PUNCT
ap-8601	198	4	ξ	ξ	NOUN
ap-8601	198	5	)	)	PUNCT
ap-8601	198	6	,	,	PUNCT
ap-8601	198	7	azimuthal	azimuthal	ADJ
ap-8601	198	8	roughness	roughness	NOUN
ap-8601	198	9	.	.	PUNCT
ap-8601	199	1	(	(	PUNCT
ap-8601	199	2	24	24	NUM
ap-8601	199	3	)	)	PUNCT
ap-8601	199	4	for	for	ADP
ap-8601	199	5	these	these	DET
ap-8601	199	6	roughness	roughness	NOUN
ap-8601	199	7	patterns	pattern	NOUN
ap-8601	199	8	,	,	PUNCT
ap-8601	199	9	the	the	DET
ap-8601	199	10	modified	modify	VERB
ap-8601	199	11	stochastic	stochastic	NOUN
ap-8601	199	12	nlre	nlre	NOUN
ap-8601	199	13	is	be	AUX
ap-8601	199	14	given	give	VERB
ap-8601	199	15	by	by	ADP
ap-8601	199	16	1	1	NUM
ap-8601	199	17	r̂	r̂	NOUN
ap-8601	199	18	∂	∂	NUM
ap-8601	199	19	∂r̂	∂r̂	NOUN
ap-8601	199	20	[	[	PUNCT
ap-8601	199	21	r̂	r̂	NOUN
ap-8601	199	22	{	{	PUNCT
ap-8601	199	23	g1(ĥ	g1(ĥ	PROPN
ap-8601	199	24	,	,	PUNCT
ap-8601	199	25	ϕ̂	ϕ̂	NUM
ap-8601	199	26	,	,	PUNCT
ap-8601	199	27	r̂0	r̂0	PROPN
ap-8601	199	28	,	,	PUNCT
ap-8601	199	29	ĥ0)∂e(p	ĥ0)∂e(p	NOUN
ap-8601	199	30	)	)	PUNCT
ap-8601	199	31	∂r̂	∂r̂	NOUN
ap-8601	200	1	+	+	CCONJ
ap-8601	200	2	3	3	NUM
ap-8601	200	3	20κg2(ĥ	20κg2(ĥ	NUM
ap-8601	200	4	,	,	PUNCT
ap-8601	200	5	ϕ̂	ϕ̂	NUM
ap-8601	200	6	,	,	PUNCT
ap-8601	200	7	r̂0	r̂0	PROPN
ap-8601	200	8	,	,	PUNCT
ap-8601	200	9	ĥ0	ĥ0	PROPN
ap-8601	200	10	)	)	PUNCT
ap-8601	200	11	(	(	PUNCT
ap-8601	200	12	∂e(p	∂e(p	PROPN
ap-8601	200	13	)	)	PUNCT
ap-8601	200	14	∂r̂	∂r̂	NOUN
ap-8601	200	15	)	)	PUNCT
ap-8601	201	1	3	3	X
ap-8601	201	2	}	}	PUNCT
ap-8601	201	3	]	]	PUNCT
ap-8601	201	4	=	=	SYM
ap-8601	201	5	12µ̂de(ĥ	12µ̂de(ĥ	X
ap-8601	201	6	)	)	PUNCT
ap-8601	201	7	dt̂	dt̂	NOUN
ap-8601	201	8	.	.	PUNCT
ap-8601	202	1	(	(	PUNCT
ap-8601	202	2	25	25	NUM
ap-8601	202	3	)	)	PUNCT
ap-8601	202	4	where	where	SCONJ
ap-8601	202	5	g1(ĥ	g1(ĥ	PROPN
ap-8601	202	6	,	,	PUNCT
ap-8601	202	7	ϕ̂	ϕ̂	NUM
ap-8601	202	8	,	,	PUNCT
ap-8601	202	9	r̂0	r̂0	PROPN
ap-8601	202	10	,	,	PUNCT
ap-8601	202	11	ĥ0	ĥ0	PROPN
ap-8601	202	12	,	,	PUNCT
ap-8601	202	13	c	c	X
ap-8601	202	14	)	)	PUNCT
ap-8601	202	15	=	=	NOUN
ap-8601	202	16	{	{	PUNCT
ap-8601	202	17	e{f1(ĥ	e{f1(ĥ	PROPN
ap-8601	202	18	,	,	PUNCT
ap-8601	202	19	ϕ̂	ϕ̂	NUM
ap-8601	202	20	,	,	PUNCT
ap-8601	202	21	r̂0	r̂0	PROPN
ap-8601	202	22	,	,	PUNCT
ap-8601	202	23	ĥ0	ĥ0	PROPN
ap-8601	202	24	)	)	PUNCT
ap-8601	202	25	}	}	PUNCT
ap-8601	202	26	,	,	PUNCT
ap-8601	202	27	radial	radial	ADJ
ap-8601	202	28	roughness	roughness	NOUN
ap-8601	202	29	[	[	PUNCT
ap-8601	202	30	e	e	X
ap-8601	202	31	{	{	PUNCT
ap-8601	202	32	1	1	NUM
ap-8601	202	33	/	/	SYM
ap-8601	202	34	f1(ĥ	f1(ĥ	PROPN
ap-8601	202	35	,	,	PUNCT
ap-8601	202	36	ϕ̂	ϕ̂	NUM
ap-8601	202	37	,	,	PUNCT
ap-8601	202	38	r̂0	r̂0	PROPN
ap-8601	202	39	,	,	PUNCT
ap-8601	202	40	ĥ0	ĥ0	PROPN
ap-8601	202	41	)	)	PUNCT
ap-8601	202	42	}	}	PUNCT
ap-8601	202	43	]	]	X
ap-8601	202	44	−1	−1	NOUN
ap-8601	202	45	,	,	PUNCT
ap-8601	202	46	azimuthal	azimuthal	ADJ
ap-8601	202	47	roughness	roughness	NOUN
ap-8601	202	48	.	.	PUNCT
ap-8601	203	1	g2(ĥ	g2(ĥ	PROPN
ap-8601	203	2	,	,	PUNCT
ap-8601	203	3	ϕ̂	ϕ̂	NUM
ap-8601	203	4	,	,	PUNCT
ap-8601	203	5	r̂0	r̂0	PROPN
ap-8601	203	6	,	,	PUNCT
ap-8601	203	7	ĥ0	ĥ0	PROPN
ap-8601	203	8	,	,	PUNCT
ap-8601	203	9	c	c	X
ap-8601	203	10	)	)	PUNCT
ap-8601	204	1	=	=	NOUN
ap-8601	204	2	{	{	PUNCT
ap-8601	204	3	e{f2(ĥ	e{f2(ĥ	PROPN
ap-8601	204	4	,	,	PUNCT
ap-8601	204	5	ϕ̂	ϕ̂	NUM
ap-8601	204	6	,	,	PUNCT
ap-8601	204	7	r̂0	r̂0	PROPN
ap-8601	204	8	,	,	PUNCT
ap-8601	204	9	ĥ0	ĥ0	PROPN
ap-8601	204	10	)	)	PUNCT
ap-8601	204	11	}	}	PUNCT
ap-8601	204	12	,	,	PUNCT
ap-8601	204	13	radial	radial	ADJ
ap-8601	204	14	roughness	roughness	NOUN
ap-8601	204	15	[	[	PUNCT
ap-8601	204	16	e	e	X
ap-8601	204	17	{	{	PUNCT
ap-8601	204	18	1	1	NUM
ap-8601	204	19	/	/	SYM
ap-8601	204	20	f2(ĥ	f2(ĥ	PROPN
ap-8601	204	21	,	,	PUNCT
ap-8601	204	22	ϕ̂	ϕ̂	NUM
ap-8601	204	23	,	,	PUNCT
ap-8601	204	24	r̂0	r̂0	PROPN
ap-8601	204	25	,	,	PUNCT
ap-8601	204	26	ĥ0	ĥ0	PROPN
ap-8601	204	27	)	)	PUNCT
ap-8601	204	28	}	}	PUNCT
ap-8601	204	29	]	]	X
ap-8601	204	30	−1	−1	NOUN
ap-8601	204	31	,	,	PUNCT
ap-8601	204	32	azimuthal	azimuthal	ADJ
ap-8601	204	33	roughness	roughness	NOUN
ap-8601	204	34	.	.	PUNCT
ap-8601	205	1	(	(	PUNCT
ap-8601	205	2	26	26	NUM
ap-8601	205	3	)	)	PUNCT
ap-8601	205	4	443	443	NUM
ap-8601	205	5	a.	a.	NOUN
ap-8601	205	6	k.	k.	PROPN
ap-8601	205	7	rahul	rahul	PROPN
ap-8601	205	8	,	,	PUNCT
ap-8601	205	9	m.	m.	PROPN
ap-8601	205	10	k.	k.	PROPN
ap-8601	205	11	singh	singh	PROPN
ap-8601	205	12	,	,	PUNCT
ap-8601	205	13	r.	r.	PROPN
ap-8601	205	14	tiwari	tiwari	PROPN
ap-8601	205	15	et	et	PROPN
ap-8601	205	16	al	al	PROPN
ap-8601	205	17	.	.	PROPN
ap-8601	205	18	acta	acta	PROPN
ap-8601	205	19	polytechnica	polytechnica	PROPN
ap-8601	205	20	currently	currently	ADV
ap-8601	205	21	,	,	PUNCT
ap-8601	205	22	the	the	DET
ap-8601	205	23	problem	problem	NOUN
ap-8601	205	24	is	be	AUX
ap-8601	205	25	minimising	minimise	VERB
ap-8601	205	26	the	the	DET
ap-8601	205	27	constructing	construct	VERB
ap-8601	205	28	methods	method	NOUN
ap-8601	205	29	for	for	ADP
ap-8601	205	30	estimating	estimate	VERB
ap-8601	205	31	the	the	DET
ap-8601	205	32	left	left	ADJ
ap-8601	205	33	side	side	NOUN
ap-8601	205	34	of	of	ADP
ap-8601	205	35	equation	equation	NOUN
ap-8601	205	36	25	25	NUM
ap-8601	205	37	according	accord	VERB
ap-8601	205	38	to	to	ADP
ap-8601	205	39	a	a	DET
ap-8601	205	40	specified	specified	ADJ
ap-8601	205	41	roughness	roughness	NOUN
ap-8601	205	42	pattern	pattern	NOUN
ap-8601	205	43	.	.	PUNCT
ap-8601	206	1	the	the	DET
ap-8601	206	2	measurement	measurement	NOUN
ap-8601	206	3	of	of	ADP
ap-8601	206	4	mean	mean	PROPN
ap-8601	206	5	fp	fp	X
ap-8601	206	6	involves	involve	VERB
ap-8601	206	7	the	the	DET
ap-8601	206	8	evaluation	evaluation	NOUN
ap-8601	206	9	of	of	ADP
ap-8601	206	10	the	the	DET
ap-8601	206	11	standard	standard	ADJ
ap-8601	206	12	estimate	estimate	NOUN
ap-8601	206	13	of	of	ADP
ap-8601	206	14	distinct	distinct	ADJ
ap-8601	206	15	film	film	NOUN
ap-8601	206	16	thicknesses	thickness	NOUN
ap-8601	206	17	.	.	PUNCT
ap-8601	207	1	the	the	DET
ap-8601	207	2	probability	probability	NOUN
ap-8601	207	3	density	density	NOUN
ap-8601	207	4	function	function	NOUN
ap-8601	207	5	is	be	AUX
ap-8601	207	6	incorporated	incorporate	VERB
ap-8601	207	7	by	by	ADP
ap-8601	207	8	equation	equation	NOUN
ap-8601	207	9	21	21	NUM
ap-8601	207	10	.	.	PUNCT
ap-8601	208	1	the	the	DET
ap-8601	208	2	accompanying	accompanying	ADJ
ap-8601	208	3	expected	expect	VERB
ap-8601	208	4	estimations	estimation	NOUN
ap-8601	208	5	of	of	ADP
ap-8601	208	6	film	film	NOUN
ap-8601	208	7	thickness	thickness	NOUN
ap-8601	208	8	is	be	AUX
ap-8601	208	9	discussed	discuss	VERB
ap-8601	208	10	in	in	ADP
ap-8601	208	11	the	the	DET
ap-8601	208	12	work	work	NOUN
ap-8601	208	13	by	by	ADP
ap-8601	208	14	walicka	walicka	PRON
ap-8601	208	15	et	et	PROPN
ap-8601	208	16	al	al	PROPN
ap-8601	208	17	.	.	PUNCT
ap-8601	209	1	[	[	X
ap-8601	209	2	23	23	NUM
ap-8601	209	3	]	]	PUNCT
ap-8601	209	4	.	.	PUNCT
ap-8601	210	1	e(ĥ	e(ĥ	PROPN
ap-8601	210	2	)	)	PUNCT
ap-8601	211	1	=	=	SYM
ap-8601	211	2	ĥ	ĥ	X
ap-8601	211	3	,	,	PUNCT
ap-8601	211	4	e(ĥ2	e(ĥ2	PROPN
ap-8601	211	5	)	)	PUNCT
ap-8601	211	6	=	=	PUNCT
ap-8601	212	1	ĥ2	ĥ2	NOUN
ap-8601	212	2	(	(	PUNCT
ap-8601	212	3	1	1	NUM
ap-8601	212	4	+	+	NUM
ap-8601	212	5	∆2	∆2	PROPN
ap-8601	212	6	9	9	NUM
ap-8601	212	7	)	)	PUNCT
ap-8601	212	8	,	,	PUNCT
ap-8601	212	9	e(ĥ3	e(ĥ3	NOUN
ap-8601	212	10	)	)	PUNCT
ap-8601	212	11	=	=	PRON
ap-8601	213	1	ĥ3	ĥ3	X
ap-8601	213	2	(	(	PUNCT
ap-8601	213	3	1	1	NUM
ap-8601	213	4	+	+	NUM
ap-8601	213	5	∆2	∆2	PROPN
ap-8601	213	6	3	3	NUM
ap-8601	213	7	)	)	PUNCT
ap-8601	213	8	,	,	PUNCT
ap-8601	213	9	e(ĥ4	e(ĥ4	PROPN
ap-8601	213	10	)	)	PUNCT
ap-8601	214	1	=	=	SYM
ap-8601	215	1	ĥ4	ĥ4	NOUN
ap-8601	215	2	(	(	PUNCT
ap-8601	215	3	1	1	NUM
ap-8601	215	4	+	+	NUM
ap-8601	215	5	2∆2	2∆2	NUM
ap-8601	215	6	3	3	NUM
ap-8601	215	7	+	+	CCONJ
ap-8601	215	8	∆4	∆4	NOUN
ap-8601	215	9	33	33	NUM
ap-8601	215	10	)	)	PUNCT
ap-8601	215	11	,	,	PUNCT
ap-8601	215	12	e(ĥ5	e(ĥ5	PROPN
ap-8601	215	13	)	)	PUNCT
ap-8601	216	1	=	=	SYM
ap-8601	216	2	5ĥ5	5ĥ5	NUM
ap-8601	216	3	(	(	PUNCT
ap-8601	216	4	1	1	NUM
ap-8601	216	5	+	+	CCONJ
ap-8601	216	6	2∆2	2∆2	NUM
ap-8601	216	7	5	5	NUM
ap-8601	216	8	+	+	CCONJ
ap-8601	216	9	∆4	∆4	NOUN
ap-8601	216	10	33	33	NUM
ap-8601	216	11	)	)	PUNCT
ap-8601	216	12	,	,	PUNCT
ap-8601	216	13	e(ĥ6	e(ĥ6	PROPN
ap-8601	216	14	)	)	PUNCT
ap-8601	217	1	=	=	SYM
ap-8601	218	1	5ĥ6	5ĥ6	NUM
ap-8601	218	2	(	(	PUNCT
ap-8601	218	3	1	1	NUM
ap-8601	218	4	5	5	NUM
ap-8601	218	5	+	+	CCONJ
ap-8601	218	6	∆2	∆2	PROPN
ap-8601	218	7	93	93	NUM
ap-8601	218	8	+	+	CCONJ
ap-8601	218	9	∆4	∆4	NOUN
ap-8601	218	10	11	11	NUM
ap-8601	218	11	+	+	CCONJ
ap-8601	218	12	∆6	∆6	PROPN
ap-8601	218	13	429	429	NUM
ap-8601	218	14	)	)	PUNCT
ap-8601	218	15	,	,	PUNCT
ap-8601	218	16	e(ĥ−1	e(ĥ−1	PROPN
ap-8601	218	17	)	)	PUNCT
ap-8601	218	18	=	=	SYM
ap-8601	218	19	1	1	NUM
ap-8601	218	20	ĥ	ĥ	X
ap-8601	218	21	[	[	PUNCT
ap-8601	218	22	35	35	NUM
ap-8601	218	23	32	32	NUM
ap-8601	218	24	1	1	NUM
ap-8601	218	25	∆7	∆7	PROPN
ap-8601	218	26	{	{	PUNCT
ap-8601	218	27	(	(	PUNCT
ap-8601	218	28	∆2	∆2	PROPN
ap-8601	218	29	−	−	PROPN
ap-8601	218	30	1	1	NUM
ap-8601	218	31	)	)	PUNCT
ap-8601	218	32	ln	ln	NOUN
ap-8601	218	33	(	(	PUNCT
ap-8601	218	34	1	1	NUM
ap-8601	218	35	+	+	NUM
ap-8601	218	36	∆	∆	PROPN
ap-8601	218	37	1	1	NUM
ap-8601	218	38	−	−	PROPN
ap-8601	218	39	∆	∆	PROPN
ap-8601	218	40	)	)	PUNCT
ap-8601	219	1	−	−	PROPN
ap-8601	220	1	2∆	2∆	NUM
ap-8601	220	2	15	15	NUM
ap-8601	220	3	(	(	PUNCT
ap-8601	220	4	15	15	NUM
ap-8601	220	5	−	−	PROPN
ap-8601	220	6	40∆2	40∆2	PROPN
ap-8601	220	7	+	+	CCONJ
ap-8601	220	8	33∆4	33∆4	NUM
ap-8601	220	9	)	)	PUNCT
ap-8601	220	10	}	}	PUNCT
ap-8601	220	11	]	]	PUNCT
ap-8601	220	12	,	,	PUNCT
ap-8601	220	13	e(ĥ−2	e(ĥ−2	PROPN
ap-8601	220	14	)	)	PUNCT
ap-8601	220	15	=	=	SYM
ap-8601	220	16	1	1	NUM
ap-8601	220	17	ĥ2	ĥ2	NOUN
ap-8601	220	18	[	[	PUNCT
ap-8601	220	19	35	35	NUM
ap-8601	220	20	32	32	NUM
ap-8601	220	21	1	1	NUM
ap-8601	220	22	∆7	∆7	ADP
ap-8601	220	23	{	{	PUNCT
ap-8601	220	24	6(∆2	6(∆2	NUM
ap-8601	220	25	−	−	NUM
ap-8601	220	26	1	1	NUM
ap-8601	220	27	)	)	PUNCT
ap-8601	220	28	ln	ln	NOUN
ap-8601	220	29	(	(	PUNCT
ap-8601	220	30	1	1	NUM
ap-8601	220	31	+	+	NUM
ap-8601	220	32	∆	∆	PROPN
ap-8601	220	33	1	1	NUM
ap-8601	220	34	−	−	PROPN
ap-8601	220	35	∆	∆	PROPN
ap-8601	220	36	)	)	PUNCT
ap-8601	221	1	−	−	PROPN
ap-8601	221	2	4∆	4∆	NUM
ap-8601	221	3	5	5	NUM
ap-8601	221	4	(	(	PUNCT
ap-8601	221	5	15	15	NUM
ap-8601	221	6	−	−	NUM
ap-8601	221	7	25∆2	25∆2	NUM
ap-8601	222	1	+	+	CCONJ
ap-8601	222	2	8∆4	8∆4	NUM
ap-8601	222	3	)	)	PUNCT
ap-8601	222	4	}	}	PUNCT
ap-8601	222	5	]	]	PUNCT
ap-8601	222	6	,	,	PUNCT
ap-8601	222	7	e(ĥ−3	e(ĥ−3	PROPN
ap-8601	222	8	)	)	PUNCT
ap-8601	222	9	=	=	SYM
ap-8601	222	10	1	1	NUM
ap-8601	222	11	ĥ3	ĥ3	NOUN
ap-8601	222	12	[	[	PUNCT
ap-8601	222	13	35	35	NUM
ap-8601	222	14	32	32	NUM
ap-8601	222	15	1	1	NUM
ap-8601	222	16	∆7	∆7	PROPN
ap-8601	222	17	{	{	PUNCT
ap-8601	222	18	3(5	3(5	NUM
ap-8601	222	19	−	−	NOUN
ap-8601	222	20	∆2)(∆2	∆2)(∆2	ADJ
ap-8601	222	21	−	−	NOUN
ap-8601	222	22	1	1	X
ap-8601	222	23	)	)	PUNCT
ap-8601	223	1	ln	ln	NOUN
ap-8601	223	2	(	(	PUNCT
ap-8601	223	3	1	1	NUM
ap-8601	223	4	+	+	NUM
ap-8601	223	5	∆	∆	PROPN
ap-8601	223	6	1	1	NUM
ap-8601	223	7	−	−	PROPN
ap-8601	223	8	∆	∆	PROPN
ap-8601	223	9	)	)	PUNCT
ap-8601	224	1	+2∆	+2∆	NOUN
ap-8601	224	2	(	(	PUNCT
ap-8601	224	3	15	15	NUM
ap-8601	224	4	−	−	PROPN
ap-8601	224	5	13∆2	13∆2	NUM
ap-8601	224	6	)	)	PUNCT
ap-8601	224	7	}	}	PUNCT
ap-8601	224	8	]	]	PUNCT
ap-8601	224	9	,	,	PUNCT
ap-8601	224	10	e(ĥ−4	e(ĥ−4	NOUN
ap-8601	224	11	)	)	PUNCT
ap-8601	224	12	=	=	SYM
ap-8601	224	13	1	1	NUM
ap-8601	224	14	ĥ4	ĥ4	NOUN
ap-8601	224	15	[	[	PUNCT
ap-8601	224	16	35	35	NUM
ap-8601	224	17	32	32	NUM
ap-8601	224	18	1	1	NUM
ap-8601	224	19	∆7	∆7	PROPN
ap-8601	224	20	{	{	PUNCT
ap-8601	224	21	4(5	4(5	NUM
ap-8601	224	22	−	−	PROPN
ap-8601	224	23	3∆2	3∆2	NUM
ap-8601	224	24	)	)	PUNCT
ap-8601	224	25	ln	ln	NOUN
ap-8601	224	26	(	(	PUNCT
ap-8601	224	27	1	1	NUM
ap-8601	224	28	+	+	NUM
ap-8601	224	29	∆	∆	PROPN
ap-8601	224	30	1	1	NUM
ap-8601	224	31	−	−	PROPN
ap-8601	224	32	∆	∆	PROPN
ap-8601	224	33	)	)	PUNCT
ap-8601	225	1	−	−	PROPN
ap-8601	225	2	8∆	8∆	NUM
ap-8601	225	3	3	3	NUM
ap-8601	225	4	(	(	PUNCT
ap-8601	225	5	15	15	NUM
ap-8601	225	6	−	−	PROPN
ap-8601	225	7	4∆2	4∆2	NUM
ap-8601	225	8	)	)	PUNCT
ap-8601	225	9	}	}	PUNCT
ap-8601	225	10	]	]	PUNCT
ap-8601	225	11	,	,	PUNCT
ap-8601	225	12	e(ĥ−5	e(ĥ−5	X
ap-8601	225	13	)	)	PUNCT
ap-8601	226	1	=	=	SYM
ap-8601	226	2	1	1	NUM
ap-8601	226	3	ĥ5	ĥ5	NOUN
ap-8601	226	4	[	[	PUNCT
ap-8601	226	5	35	35	NUM
ap-8601	226	6	32	32	NUM
ap-8601	226	7	1	1	NUM
ap-8601	226	8	∆7	∆7	PROPN
ap-8601	226	9	{	{	PUNCT
ap-8601	226	10	3(∆2	3(∆2	NUM
ap-8601	226	11	−	−	NUM
ap-8601	226	12	5	5	NUM
ap-8601	226	13	)	)	PUNCT
ap-8601	226	14	ln	ln	NOUN
ap-8601	226	15	(	(	PUNCT
ap-8601	226	16	1	1	NUM
ap-8601	226	17	+	+	NUM
ap-8601	226	18	∆	∆	PROPN
ap-8601	226	19	1	1	NUM
ap-8601	226	20	−	−	PROPN
ap-8601	226	21	∆	∆	PROPN
ap-8601	226	22	)	)	PUNCT
ap-8601	227	1	+	+	CCONJ
ap-8601	227	2	2∆	2∆	NUM
ap-8601	227	3	1	1	NUM
ap-8601	227	4	+	+	NOUN
ap-8601	227	5	∆2	∆2	NOUN
ap-8601	227	6	(	(	PUNCT
ap-8601	227	7	15	15	NUM
ap-8601	227	8	−	−	PROPN
ap-8601	227	9	13∆2	13∆2	NUM
ap-8601	227	10	)	)	PUNCT
ap-8601	227	11	}	}	PUNCT
ap-8601	227	12	]	]	PUNCT
ap-8601	227	13	,	,	PUNCT
ap-8601	227	14	e(ĥ−6	e(ĥ−6	PROPN
ap-8601	227	15	)	)	PUNCT
ap-8601	227	16	=	=	SYM
ap-8601	227	17	1	1	NUM
ap-8601	227	18	ĥ6	ĥ6	NOUN
ap-8601	227	19	[	[	PUNCT
ap-8601	227	20	35	35	NUM
ap-8601	227	21	32	32	NUM
ap-8601	227	22	1	1	NUM
ap-8601	227	23	∆7	∆7	PROPN
ap-8601	227	24	{	{	PUNCT
ap-8601	227	25	3	3	NUM
ap-8601	227	26	ln	ln	NOUN
ap-8601	227	27	(	(	PUNCT
ap-8601	227	28	1	1	NUM
ap-8601	227	29	+	+	NUM
ap-8601	227	30	∆	∆	PROPN
ap-8601	227	31	1	1	NUM
ap-8601	227	32	−	−	PROPN
ap-8601	227	33	∆	∆	PROPN
ap-8601	227	34	)	)	PUNCT
ap-8601	228	1	+	+	CCONJ
ap-8601	229	1	2∆	2∆	NUM
ap-8601	229	2	5(1	5(1	NUM
ap-8601	229	3	−	−	PROPN
ap-8601	229	4	∆2	∆2	NOUN
ap-8601	229	5	)	)	PUNCT
ap-8601	229	6	(	(	PUNCT
ap-8601	229	7	15	15	NUM
ap-8601	229	8	−	−	NUM
ap-8601	229	9	25∆2	25∆2	NUM
ap-8601	229	10	+	+	CCONJ
ap-8601	229	11	8∆4	8∆4	NUM
ap-8601	229	12	)	)	PUNCT
ap-8601	229	13	}	}	PUNCT
ap-8601	229	14	]	]	PUNCT
ap-8601	229	15	.	.	PUNCT
ap-8601	230	1	(	(	PUNCT
ap-8601	230	2	27	27	NUM
ap-8601	230	3	)	)	PUNCT
ap-8601	230	4	where	where	SCONJ
ap-8601	230	5	∆	∆	VERB
ap-8601	230	6	=	=	SYM
ap-8601	230	7	c	c	X
ap-8601	230	8	ĥ	ĥ	X
ap-8601	230	9	.	.	PUNCT
ap-8601	231	1	(	(	PUNCT
ap-8601	231	2	28	28	NUM
ap-8601	231	3	)	)	PUNCT
ap-8601	231	4	the	the	DET
ap-8601	231	5	predicted	predict	VERB
ap-8601	231	6	values	value	NOUN
ap-8601	231	7	of	of	ADP
ap-8601	231	8	film	film	NOUN
ap-8601	231	9	thickness	thickness	NOUN
ap-8601	231	10	feature	feature	NOUN
ap-8601	231	11	e	e	NOUN
ap-8601	231	12	(	(	PUNCT
ap-8601	231	13	ĥ−i	ĥ−i	ADP
ap-8601	231	14	)	)	PUNCT
ap-8601	231	15	,	,	PUNCT
ap-8601	231	16	i	i	PRON
ap-8601	231	17	=	=	NOUN
ap-8601	231	18	1	1	NUM
ap-8601	231	19	,	,	PUNCT
ap-8601	231	20	2	2	NUM
ap-8601	231	21	,	,	PUNCT
ap-8601	231	22	.	.	PUNCT
ap-8601	231	23	.	.	PUNCT
ap-8601	231	24	.	.	PUNCT
ap-8601	232	1	,	,	PUNCT
ap-8601	232	2	6	6	NUM
ap-8601	232	3	,	,	PUNCT
ap-8601	232	4	are	be	AUX
ap-8601	232	5	not	not	PART
ap-8601	232	6	suitable	suitable	ADJ
ap-8601	232	7	for	for	ADP
ap-8601	232	8	numerical	numerical	ADJ
ap-8601	232	9	purposes	purpose	NOUN
ap-8601	232	10	for	for	ADP
ap-8601	232	11	small	small	ADJ
ap-8601	232	12	∆	∆	PROPN
ap-8601	232	13	values	value	NOUN
ap-8601	232	14	,	,	PUNCT
ap-8601	232	15	as	as	SCONJ
ap-8601	232	16	there	there	PRON
ap-8601	232	17	are	be	VERB
ap-8601	232	18	variations	variation	NOUN
ap-8601	232	19	when	when	SCONJ
ap-8601	232	20	small	small	ADJ
ap-8601	232	21	amounts	amount	NOUN
ap-8601	232	22	are	be	AUX
ap-8601	232	23	involved	involve	VERB
ap-8601	232	24	,	,	PUNCT
ap-8601	232	25	resulting	result	VERB
ap-8601	232	26	in	in	ADP
ap-8601	232	27	a	a	DET
ap-8601	232	28	loss	loss	NOUN
ap-8601	232	29	in	in	ADP
ap-8601	232	30	large	large	ADJ
ap-8601	232	31	digits	digit	NOUN
ap-8601	232	32	.	.	PUNCT
ap-8601	233	1	hence	hence	ADV
ap-8601	233	2	,	,	PUNCT
ap-8601	233	3	expansions	expansion	NOUN
ap-8601	233	4	of	of	ADP
ap-8601	233	5	taylors	taylor	NOUN
ap-8601	233	6	powers	power	NOUN
ap-8601	233	7	∆	∆	PROPN
ap-8601	233	8	are	be	AUX
ap-8601	233	9	proposed	propose	VERB
ap-8601	233	10	.	.	PUNCT
ap-8601	234	1	the	the	DET
ap-8601	234	2	expansion	expansion	NOUN
ap-8601	234	3	of	of	ADP
ap-8601	234	4	these	these	DET
ap-8601	234	5	film	film	NOUN
ap-8601	234	6	thickness	thickness	NOUN
ap-8601	234	7	functions	function	NOUN
ap-8601	234	8	in	in	ADP
ap-8601	234	9	series	series	PROPN
ap-8601	234	10	e(ĥ−1	e(ĥ−1	PROPN
ap-8601	234	11	)	)	PUNCT
ap-8601	234	12	=	=	SYM
ap-8601	234	13	1	1	NUM
ap-8601	234	14	ĥ	ĥ	X
ap-8601	234	15	[	[	PUNCT
ap-8601	234	16	1	1	NUM
ap-8601	234	17	+	+	NUM
ap-8601	234	18	∞∑	∞∑	NUM
ap-8601	234	19	n=1	n=1	PROPN
ap-8601	234	20	105∆2n	105∆2n	PROPN
ap-8601	234	21	(	(	PUNCT
ap-8601	234	22	2n	2n	NUM
ap-8601	234	23	+	+	CCONJ
ap-8601	234	24	1)(2n	1)(2n	NUM
ap-8601	234	25	+	+	NUM
ap-8601	234	26	3)(2n	3)(2n	NUM
ap-8601	234	27	+	+	CCONJ
ap-8601	234	28	5)(2n	5)(2n	NUM
ap-8601	234	29	+	+	SYM
ap-8601	234	30	7	7	NUM
ap-8601	234	31	)	)	PUNCT
ap-8601	234	32	]	]	PUNCT
ap-8601	234	33	,	,	PUNCT
ap-8601	234	34	e(ĥ−2	e(ĥ−2	PROPN
ap-8601	234	35	)	)	PUNCT
ap-8601	234	36	=	=	SYM
ap-8601	234	37	1	1	NUM
ap-8601	234	38	ĥ2	ĥ2	NOUN
ap-8601	234	39	[	[	PUNCT
ap-8601	234	40	1	1	NUM
ap-8601	234	41	+	+	NUM
ap-8601	234	42	∞∑	∞∑	NUM
ap-8601	234	43	n=1	n=1	PROPN
ap-8601	234	44	105∆2n	105∆2n	PROPN
ap-8601	234	45	(	(	PUNCT
ap-8601	234	46	2n	2n	NUM
ap-8601	234	47	+	+	CCONJ
ap-8601	234	48	3)(2n	3)(2n	NUM
ap-8601	234	49	+	+	CCONJ
ap-8601	234	50	5)(2n	5)(2n	NUM
ap-8601	234	51	+	+	SYM
ap-8601	234	52	7	7	NUM
ap-8601	234	53	)	)	PUNCT
ap-8601	234	54	]	]	PUNCT
ap-8601	234	55	,	,	PUNCT
ap-8601	234	56	e(ĥ−3	e(ĥ−3	PROPN
ap-8601	234	57	)	)	PUNCT
ap-8601	234	58	=	=	SYM
ap-8601	234	59	1	1	NUM
ap-8601	234	60	ĥ3	ĥ3	NOUN
ap-8601	234	61	[	[	PUNCT
ap-8601	234	62	1	1	NUM
ap-8601	234	63	+	+	NUM
ap-8601	234	64	∞∑	∞∑	NUM
ap-8601	234	65	n=1	n=1	ADP
ap-8601	234	66	105(n	105(n	PROPN
ap-8601	234	67	+	+	SYM
ap-8601	234	68	1)∆2n	1)∆2n	NUM
ap-8601	234	69	(	(	PUNCT
ap-8601	234	70	2n	2n	NUM
ap-8601	234	71	+	+	CCONJ
ap-8601	234	72	3)(2n	3)(2n	NUM
ap-8601	234	73	+	+	CCONJ
ap-8601	234	74	5)(2n	5)(2n	NUM
ap-8601	234	75	+	+	SYM
ap-8601	234	76	7	7	NUM
ap-8601	234	77	)	)	PUNCT
ap-8601	234	78	]	]	PUNCT
ap-8601	234	79	,	,	PUNCT
ap-8601	234	80	e(ĥ−4	e(ĥ−4	NOUN
ap-8601	234	81	)	)	PUNCT
ap-8601	234	82	=	=	SYM
ap-8601	234	83	1	1	NUM
ap-8601	234	84	ĥ4	ĥ4	NOUN
ap-8601	234	85	[	[	PUNCT
ap-8601	234	86	1	1	NUM
ap-8601	234	87	+	+	NUM
ap-8601	234	88	∞∑	∞∑	NUM
ap-8601	234	89	n=1	n=1	ADP
ap-8601	234	90	35(n	35(n	PROPN
ap-8601	234	91	+	+	SYM
ap-8601	234	92	1)∆2n	1)∆2n	NUM
ap-8601	234	93	(	(	PUNCT
ap-8601	234	94	2n	2n	NUM
ap-8601	234	95	+	+	CCONJ
ap-8601	234	96	5)(2n	5)(2n	NUM
ap-8601	234	97	+	+	SYM
ap-8601	234	98	7	7	NUM
ap-8601	234	99	)	)	PUNCT
ap-8601	234	100	]	]	PUNCT
ap-8601	234	101	,	,	PUNCT
ap-8601	234	102	e(ĥ−5	e(ĥ−5	X
ap-8601	234	103	)	)	PUNCT
ap-8601	234	104	=	=	SYM
ap-8601	234	105	1	1	NUM
ap-8601	234	106	ĥ5	ĥ5	NOUN
ap-8601	234	107	[	[	PUNCT
ap-8601	234	108	1	1	NUM
ap-8601	234	109	+	+	NUM
ap-8601	234	110	∞∑	∞∑	NUM
ap-8601	234	111	n=1	n=1	ADP
ap-8601	234	112	35(n	35(n	PROPN
ap-8601	234	113	+	+	SYM
ap-8601	234	114	1)(n	1)(n	NUM
ap-8601	234	115	+	+	SYM
ap-8601	234	116	2)∆2n	2)∆2n	NUM
ap-8601	234	117	2(2n	2(2n	NUM
ap-8601	234	118	+	+	CCONJ
ap-8601	234	119	5)(2n	5)(2n	NUM
ap-8601	234	120	+	+	SYM
ap-8601	234	121	7	7	NUM
ap-8601	234	122	)	)	PUNCT
ap-8601	234	123	]	]	PUNCT
ap-8601	234	124	,	,	PUNCT
ap-8601	234	125	e(ĥ−6	e(ĥ−6	PROPN
ap-8601	234	126	)	)	PUNCT
ap-8601	234	127	=	=	SYM
ap-8601	234	128	1	1	NUM
ap-8601	234	129	ĥ6	ĥ6	NOUN
ap-8601	234	130	[	[	PUNCT
ap-8601	234	131	1	1	NUM
ap-8601	234	132	+	+	NUM
ap-8601	234	133	∞∑	∞∑	NUM
ap-8601	234	134	n=1	n=1	NOUN
ap-8601	234	135	7(n	7(n	PROPN
ap-8601	234	136	+	+	SYM
ap-8601	234	137	1)(n	1)(n	NUM
ap-8601	234	138	+	+	SYM
ap-8601	234	139	2)∆2n	2)∆2n	NUM
ap-8601	234	140	2(2n	2(2n	NUM
ap-8601	234	141	+	+	CCONJ
ap-8601	234	142	7	7	NUM
ap-8601	234	143	)	)	PUNCT
ap-8601	234	144	]	]	PUNCT
ap-8601	234	145	.	.	PUNCT
ap-8601	235	1	(	(	PUNCT
ap-8601	235	2	29	29	NUM
ap-8601	235	3	)	)	PUNCT
ap-8601	235	4	the	the	DET
ap-8601	235	5	pressure	pressure	NOUN
ap-8601	235	6	boundary	boundary	ADJ
ap-8601	235	7	conditions	condition	NOUN
ap-8601	235	8	for	for	ADP
ap-8601	235	9	the	the	DET
ap-8601	235	10	nlre	nlre	NOUN
ap-8601	235	11	are	be	AUX
ap-8601	235	12	given	give	VERB
ap-8601	235	13	by	by	ADP
ap-8601	235	14	equation	equation	NOUN
ap-8601	235	15	30p̂	30p̂	NUM
ap-8601	235	16	=	=	NOUN
ap-8601	235	17	0	0	NUM
ap-8601	236	1	at	at	ADP
ap-8601	236	2	r̂	r̂	NOUN
ap-8601	236	3	=	=	SYM
ap-8601	236	4	r̂1	r̂1	PROPN
ap-8601	236	5	r̂2	r̂2	NOUN
ap-8601	236	6	,	,	PUNCT
ap-8601	236	7	p̂	p̂	X
ap-8601	236	8	=	=	SYM
ap-8601	236	9	0	0	NUM
ap-8601	237	1	at	at	ADP
ap-8601	237	2	r̂	r̂	NOUN
ap-8601	237	3	=	=	SYM
ap-8601	237	4	1	1	X
ap-8601	237	5	.	.	PUNCT
ap-8601	237	6	(	(	PUNCT
ap-8601	237	7	30	30	X
ap-8601	237	8	)	)	PUNCT
ap-8601	237	9	introducing	introduce	VERB
ap-8601	237	10	the	the	DET
ap-8601	237	11	dimensionless	dimensionless	NOUN
ap-8601	237	12	variables	variable	NOUN
ap-8601	237	13	and	and	CCONJ
ap-8601	237	14	parameters	parameter	NOUN
ap-8601	237	15	:	:	PUNCT
ap-8601	237	16	r∗	r∗	PROPN
ap-8601	237	17	=	=	SYM
ap-8601	237	18	r̂	r̂	PROPN
ap-8601	237	19	r̂2	r̂2	NOUN
ap-8601	237	20	,	,	PUNCT
ap-8601	237	21	h∗	h∗	PROPN
ap-8601	237	22	=	=	X
ap-8601	237	23	ĥ	ĥ	PROPN
ap-8601	237	24	ĥ0	ĥ0	PROPN
ap-8601	237	25	,	,	PUNCT
ap-8601	237	26	h∗	h∗	PROPN
ap-8601	237	27	=	=	X
ap-8601	237	28	ĥ	ĥ	PROPN
ap-8601	237	29	ĥ0	ĥ0	PROPN
ap-8601	237	30	,	,	PUNCT
ap-8601	237	31	r∗	r∗	PROPN
ap-8601	237	32	=	=	SYM
ap-8601	237	33	r̂	r̂	PROPN
ap-8601	237	34	ĥ0	ĥ0	PROPN
ap-8601	237	35	,	,	PUNCT
ap-8601	237	36	ω	ω	PROPN
ap-8601	237	37	=	=	SYM
ap-8601	237	38	r̂1	r̂1	PROPN
ap-8601	237	39	r̂2	r̂2	PROPN
ap-8601	237	40	,	,	PUNCT
ap-8601	237	41	c∗	c∗	PROPN
ap-8601	237	42	=	=	SYM
ap-8601	237	43	c	c	PROPN
ap-8601	237	44	ĥ0	ĥ0	PROPN
ap-8601	237	45	,	,	PUNCT
ap-8601	237	46	p	p	NOUN
ap-8601	237	47	∗	∗	NOUN
ap-8601	237	48	=	=	SYM
ap-8601	237	49	pĥ0	pĥ0	NOUN
ap-8601	237	50	3	3	NUM
ap-8601	237	51	µ̂0r̂2	µ̂0r̂2	PROPN
ap-8601	237	52	2(−dĥ/dt̂	2(−dĥ/dt̂	NUM
ap-8601	237	53	)	)	PUNCT
ap-8601	237	54	,	,	PUNCT
ap-8601	237	55	ω	ω	X
ap-8601	237	56	=	=	PUNCT
ap-8601	237	57	κµ̂2	κµ̂2	ADJ
ap-8601	237	58	0r̂	0r̂	NUM
ap-8601	237	59	2	2	NUM
ap-8601	237	60	2(−dĥ/dt̂	2(−dĥ/dt̂	NUM
ap-8601	237	61	)	)	PUNCT
ap-8601	237	62	ĥ4	ĥ4	NOUN
ap-8601	237	63	0	0	PROPN
ap-8601	237	64	.	.	PUNCT
ap-8601	238	1	(	(	PUNCT
ap-8601	238	2	31	31	NUM
ap-8601	238	3	)	)	PUNCT
ap-8601	238	4	under	under	ADP
ap-8601	238	5	the	the	DET
ap-8601	238	6	above	above	ADJ
ap-8601	238	7	mentioned	mention	VERB
ap-8601	238	8	dimensionless	dimensionless	NOUN
ap-8601	238	9	variables	variable	NOUN
ap-8601	238	10	and	and	CCONJ
ap-8601	238	11	parameters	parameter	NOUN
ap-8601	238	12	,	,	PUNCT
ap-8601	238	13	the	the	DET
ap-8601	238	14	nlre	nlre	ADJ
ap-8601	238	15	equation	equation	NOUN
ap-8601	238	16	25	25	NUM
ap-8601	238	17	is	be	AUX
ap-8601	238	18	expressed	express	VERB
ap-8601	238	19	as	as	ADP
ap-8601	238	20	:	:	PUNCT
ap-8601	238	21	∂	∂	NUM
ap-8601	238	22	∂r∗	∂r∗	NOUN
ap-8601	238	23	[	[	PUNCT
ap-8601	238	24	r∗g∗	r∗g∗	NOUN
ap-8601	238	25	1(h∗	1(h∗	NUM
ap-8601	238	26	,	,	PUNCT
ap-8601	238	27	r∗	r∗	NOUN
ap-8601	238	28	0	0	NUM
ap-8601	238	29	,	,	PUNCT
ap-8601	238	30	h	h	NOUN
ap-8601	238	31	∗	∗	NOUN
ap-8601	238	32	0	0	NUM
ap-8601	238	33	,	,	PUNCT
ap-8601	238	34	c	c	NOUN
ap-8601	238	35	∗	∗	NOUN
ap-8601	238	36	)	)	PUNCT
ap-8601	238	37	(	(	PUNCT
ap-8601	238	38	∂p	∂p	NOUN
ap-8601	238	39	∗	∗	NUM
ap-8601	238	40	∂r∗	∂r∗	NOUN
ap-8601	238	41	)	)	PUNCT
ap-8601	239	1	+	+	CCONJ
ap-8601	239	2	3	3	NUM
ap-8601	239	3	20ωg	20ωg	ADJ
ap-8601	239	4	∗	∗	NOUN
ap-8601	239	5	2(h∗	2(h∗	NUM
ap-8601	239	6	,	,	PUNCT
ap-8601	239	7	r∗	r∗	NOUN
ap-8601	239	8	0	0	NUM
ap-8601	239	9	,	,	PUNCT
ap-8601	239	10	h	h	NOUN
ap-8601	239	11	∗	∗	NOUN
ap-8601	239	12	0	0	NUM
ap-8601	239	13	,	,	PUNCT
ap-8601	239	14	c	c	NOUN
ap-8601	239	15	∗	∗	NOUN
ap-8601	239	16	)	)	PUNCT
ap-8601	239	17	(	(	PUNCT
ap-8601	239	18	∂p	∂p	NOUN
ap-8601	239	19	∗	∗	X
ap-8601	239	20	∂r∗	∂r∗	NOUN
ap-8601	239	21	)	)	PUNCT
ap-8601	239	22	3	3	NUM
ap-8601	239	23	]	]	PUNCT
ap-8601	239	24	=	=	SYM
ap-8601	239	25	−12r∗	−12r∗	PROPN
ap-8601	239	26	,	,	PUNCT
ap-8601	239	27	(	(	PUNCT
ap-8601	239	28	32	32	NUM
ap-8601	239	29	)	)	PUNCT
ap-8601	239	30	where	where	SCONJ
ap-8601	239	31	g1(h∗	g1(h∗	PROPN
ap-8601	239	32	,	,	PUNCT
ap-8601	239	33	r∗	r∗	PROPN
ap-8601	239	34	,	,	PUNCT
ap-8601	239	35	h∗	h∗	PROPN
ap-8601	239	36	,	,	PUNCT
ap-8601	239	37	c∗	c∗	PROPN
ap-8601	239	38	)	)	PUNCT
ap-8601	239	39	=	=	NOUN
ap-8601	239	40	{	{	PUNCT
ap-8601	239	41	e{f1(h∗	e{f1(h∗	NOUN
ap-8601	239	42	,	,	PUNCT
ap-8601	239	43	r∗	r∗	PROPN
ap-8601	239	44	0	0	NUM
ap-8601	239	45	,	,	PUNCT
ap-8601	239	46	h	h	NOUN
ap-8601	239	47	∗	∗	NOUN
ap-8601	239	48	0	0	NUM
ap-8601	239	49	)	)	PUNCT
ap-8601	239	50	}	}	PUNCT
ap-8601	239	51	,	,	PUNCT
ap-8601	239	52	radial	radial	ADJ
ap-8601	239	53	roughness	roughness	NOUN
ap-8601	239	54	[	[	X
ap-8601	239	55	e	e	X
ap-8601	239	56	{	{	PUNCT
ap-8601	239	57	1	1	NUM
ap-8601	239	58	/	/	SYM
ap-8601	239	59	f∗	f∗	NOUN
ap-8601	239	60	1	1	NUM
ap-8601	239	61	(	(	PUNCT
ap-8601	239	62	h∗	h∗	PROPN
ap-8601	239	63	,	,	PUNCT
ap-8601	239	64	r∗	r∗	PROPN
ap-8601	239	65	0	0	NUM
ap-8601	239	66	,	,	PUNCT
ap-8601	239	67	h	h	NOUN
ap-8601	239	68	∗	∗	NOUN
ap-8601	239	69	0	0	NUM
ap-8601	239	70	)	)	PUNCT
ap-8601	239	71	}	}	PUNCT
ap-8601	239	72	]	]	SYM
ap-8601	239	73	−1	−1	NOUN
ap-8601	239	74	,	,	PUNCT
ap-8601	239	75	azimuthal	azimuthal	ADJ
ap-8601	239	76	roughness	roughness	NOUN
ap-8601	239	77	(	(	PUNCT
ap-8601	239	78	33	33	NUM
ap-8601	239	79	)	)	PUNCT
ap-8601	239	80	444	444	NUM
ap-8601	239	81	vol	vol	NOUN
ap-8601	239	82	.	.	PUNCT
ap-8601	240	1	63	63	NUM
ap-8601	241	1	no	no	NOUN
ap-8601	241	2	.	.	PUNCT
ap-8601	242	1	6/2023	6/2023	NUM
ap-8601	242	2	squeeze	squeeze	NOUN
ap-8601	242	3	film	film	NOUN
ap-8601	242	4	lubrication	lubrication	NOUN
ap-8601	242	5	between	between	ADP
ap-8601	242	6	rough	rough	ADJ
ap-8601	242	7	porous	porous	ADJ
ap-8601	242	8	annular	annular	ADJ
ap-8601	242	9	discs	disc	NOUN
ap-8601	242	10	g2(h∗	g2(h∗	PROPN
ap-8601	242	11	,	,	PUNCT
ap-8601	242	12	r∗	r∗	PROPN
ap-8601	242	13	,	,	PUNCT
ap-8601	242	14	h∗	h∗	PROPN
ap-8601	242	15	,	,	PUNCT
ap-8601	242	16	c∗	c∗	PROPN
ap-8601	242	17	)	)	PUNCT
ap-8601	243	1	=	=	NOUN
ap-8601	243	2	{	{	PUNCT
ap-8601	243	3	e{f2(h∗	e{f2(h∗	PROPN
ap-8601	243	4	,	,	PUNCT
ap-8601	243	5	r∗	r∗	NOUN
ap-8601	243	6	0	0	NUM
ap-8601	243	7	,	,	PUNCT
ap-8601	243	8	h	h	NOUN
ap-8601	243	9	∗	∗	NOUN
ap-8601	243	10	0	0	NUM
ap-8601	243	11	)	)	PUNCT
ap-8601	243	12	}	}	PUNCT
ap-8601	243	13	,	,	PUNCT
ap-8601	243	14	radial	radial	ADJ
ap-8601	243	15	roughness	roughness	NOUN
ap-8601	243	16	[	[	X
ap-8601	243	17	e	e	X
ap-8601	243	18	{	{	PUNCT
ap-8601	243	19	1	1	NUM
ap-8601	243	20	/	/	SYM
ap-8601	243	21	f∗	f∗	NOUN
ap-8601	243	22	2	2	NUM
ap-8601	243	23	(	(	PUNCT
ap-8601	243	24	h∗	h∗	PROPN
ap-8601	243	25	,	,	PUNCT
ap-8601	243	26	r∗	r∗	PROPN
ap-8601	243	27	0	0	NUM
ap-8601	243	28	,	,	PUNCT
ap-8601	243	29	h	h	NOUN
ap-8601	243	30	∗	∗	NOUN
ap-8601	243	31	0	0	NUM
ap-8601	243	32	)	)	PUNCT
ap-8601	243	33	}	}	PUNCT
ap-8601	243	34	]	]	SYM
ap-8601	243	35	−1	−1	NOUN
ap-8601	243	36	,	,	PUNCT
ap-8601	243	37	azimuthal	azimuthal	ADJ
ap-8601	243	38	roughness	roughness	NOUN
ap-8601	243	39	(	(	PUNCT
ap-8601	243	40	34	34	NUM
ap-8601	243	41	)	)	PUNCT
ap-8601	243	42	where	where	SCONJ
ap-8601	243	43	ω	ω	PROPN
ap-8601	243	44	represents	represent	VERB
ap-8601	243	45	the	the	DET
ap-8601	243	46	non	non	ADJ
ap-8601	243	47	-	-	ADJ
ap-8601	243	48	dimensional	dimensional	ADJ
ap-8601	243	49	non	non	ADJ
ap-8601	243	50	-	-	ADJ
ap-8601	243	51	linear	linear	ADJ
ap-8601	243	52	factor	factor	NOUN
ap-8601	243	53	that	that	PRON
ap-8601	243	54	specifies	specify	VERB
ap-8601	243	55	the	the	DET
ap-8601	243	56	rf	rf	ADJ
ap-8601	243	57	behaviour	behaviour	NOUN
ap-8601	243	58	.	.	PUNCT
ap-8601	244	1	if	if	SCONJ
ap-8601	244	2	,	,	PUNCT
ap-8601	244	3	ω	ω	PROPN
ap-8601	244	4	=	=	SYM
ap-8601	244	5	0	0	PUNCT
ap-8601	244	6	the	the	DET
ap-8601	244	7	fluids	fluid	NOUN
ap-8601	244	8	will	will	AUX
ap-8601	244	9	behave	behave	VERB
ap-8601	244	10	like	like	ADP
ap-8601	244	11	nf	nf	INTJ
ap-8601	244	12	;	;	PUNCT
ap-8601	244	13	ω	ω	X
ap-8601	244	14	>	>	X
ap-8601	244	15	0	0	PROPN
ap-8601	244	16	,	,	PUNCT
ap-8601	244	17	the	the	DET
ap-8601	244	18	fluids	fluid	NOUN
ap-8601	244	19	will	will	AUX
ap-8601	244	20	decompose	decompose	VERB
ap-8601	244	21	as	as	ADP
ap-8601	244	22	pseudoplastic	pseudoplastic	ADJ
ap-8601	244	23	fluids	fluid	NOUN
ap-8601	244	24	and	and	CCONJ
ap-8601	244	25	ω	ω	NOUN
ap-8601	244	26	<	<	X
ap-8601	244	27	0	0	PROPN
ap-8601	244	28	,	,	PUNCT
ap-8601	244	29	the	the	DET
ap-8601	244	30	fluids	fluid	NOUN
ap-8601	244	31	will	will	AUX
ap-8601	244	32	be	be	AUX
ap-8601	244	33	dilatant	dilatant	ADJ
ap-8601	244	34	fluids	fluid	NOUN
ap-8601	244	35	.	.	PUNCT
ap-8601	245	1	the	the	DET
ap-8601	245	2	boundary	boundary	ADJ
ap-8601	245	3	condition	condition	NOUN
ap-8601	245	4	in	in	ADP
ap-8601	245	5	terms	term	NOUN
ap-8601	245	6	of	of	ADP
ap-8601	245	7	dimensionless	dimensionless	NOUN
ap-8601	245	8	form	form	NOUN
ap-8601	245	9	is	be	AUX
ap-8601	245	10	:	:	PUNCT
ap-8601	245	11	p	p	NOUN
ap-8601	245	12	∗	∗	NOUN
ap-8601	245	13	=	=	SYM
ap-8601	245	14	0	0	NUM
ap-8601	245	15	at	at	ADP
ap-8601	245	16	r∗	r∗	PROPN
ap-8601	245	17	=	=	SYM
ap-8601	245	18	ω	ω	PROPN
ap-8601	245	19	,	,	PUNCT
ap-8601	245	20	p	p	NOUN
ap-8601	245	21	∗	∗	NOUN
ap-8601	245	22	=	=	SYM
ap-8601	245	23	0	0	NUM
ap-8601	245	24	at	at	ADP
ap-8601	245	25	r∗	r∗	PROPN
ap-8601	245	26	=	=	SYM
ap-8601	245	27	1	1	X
ap-8601	245	28	.	.	NUM
ap-8601	245	29	}	}	PUNCT
ap-8601	245	30	(	(	PUNCT
ap-8601	245	31	35	35	NUM
ap-8601	245	32	)	)	PUNCT
ap-8601	245	33	the	the	DET
ap-8601	245	34	value	value	NOUN
ap-8601	245	35	of	of	ADP
ap-8601	245	36	the	the	DET
ap-8601	245	37	pseudoplastic	pseudoplastic	ADJ
ap-8601	245	38	coefficient	coefficient	NOUN
ap-8601	245	39	κ	κ	NOUN
ap-8601	245	40	depends	depend	VERB
ap-8601	245	41	on	on	ADP
ap-8601	245	42	the	the	DET
ap-8601	245	43	type	type	NOUN
ap-8601	245	44	and	and	CCONJ
ap-8601	245	45	quantity	quantity	NOUN
ap-8601	245	46	of	of	ADP
ap-8601	245	47	additives	additive	NOUN
ap-8601	245	48	which	which	PRON
ap-8601	245	49	can	can	AUX
ap-8601	245	50	be	be	AUX
ap-8601	245	51	determined	determine	VERB
ap-8601	245	52	experimentally	experimentally	ADV
ap-8601	245	53	[	[	X
ap-8601	245	54	7	7	NUM
ap-8601	245	55	]	]	PUNCT
ap-8601	245	56	.	.	PUNCT
ap-8601	246	1	thus	thus	ADV
ap-8601	246	2	,	,	PUNCT
ap-8601	246	3	the	the	DET
ap-8601	246	4	values	value	NOUN
ap-8601	246	5	of	of	ADP
ap-8601	246	6	ω	ω	PROPN
ap-8601	246	7	can	can	AUX
ap-8601	246	8	be	be	AUX
ap-8601	246	9	calculated	calculate	VERB
ap-8601	246	10	with	with	ADP
ap-8601	246	11	the	the	DET
ap-8601	246	12	appropriate	appropriate	ADJ
ap-8601	246	13	value	value	NOUN
ap-8601	246	14	of	of	ADP
ap-8601	246	15	κ	κ	NOUN
ap-8601	246	16	.	.	PUNCT
ap-8601	247	1	however	however	ADV
ap-8601	247	2	,	,	PUNCT
ap-8601	247	3	for	for	ADP
ap-8601	247	4	the	the	DET
ap-8601	247	5	validity	validity	NOUN
ap-8601	247	6	of	of	ADP
ap-8601	247	7	the	the	DET
ap-8601	247	8	present	present	ADJ
ap-8601	247	9	analysis	analysis	NOUN
ap-8601	247	10	,	,	PUNCT
ap-8601	247	11	the	the	DET
ap-8601	247	12	value	value	NOUN
ap-8601	247	13	of	of	ADP
ap-8601	247	14	ω	ω	PROPN
ap-8601	247	15	is	be	AUX
ap-8601	247	16	restricted	restrict	VERB
ap-8601	247	17	to	to	PART
ap-8601	247	18	|ω|	|ω|	VERB
ap-8601	247	19	<	<	X
ap-8601	247	20	0.01	0.01	NUM
ap-8601	247	21	.	.	PUNCT
ap-8601	248	1	it	it	PRON
ap-8601	248	2	is	be	AUX
ap-8601	248	3	discovered	discover	VERB
ap-8601	248	4	that	that	SCONJ
ap-8601	248	5	the	the	DET
ap-8601	248	6	dimensionless	dimensionless	ADJ
ap-8601	248	7	non	non	ADJ
ap-8601	248	8	-	-	ADJ
ap-8601	248	9	newtonian	newtonian	ADJ
ap-8601	248	10	averaged	average	VERB
ap-8601	248	11	modified	modify	VERB
ap-8601	248	12	nlre	nlre	NOUN
ap-8601	248	13	is	be	AUX
ap-8601	248	14	nonlinear	nonlinear	ADJ
ap-8601	248	15	in	in	ADP
ap-8601	248	16	terms	term	NOUN
ap-8601	248	17	of	of	ADP
ap-8601	248	18	p	p	NOUN
ap-8601	248	19	∗.	∗.	PROPN
ap-8601	248	20	a	a	DET
ap-8601	248	21	small	small	ADJ
ap-8601	248	22	perturbation	perturbation	NOUN
ap-8601	248	23	method	method	NOUN
ap-8601	248	24	based	base	VERB
ap-8601	248	25	on	on	ADP
ap-8601	248	26	lin	lin	PROPN
ap-8601	249	1	[	[	X
ap-8601	249	2	8	8	NUM
ap-8601	249	3	]	]	PUNCT
ap-8601	249	4	,	,	PUNCT
ap-8601	249	5	rahul	rahul	NOUN
ap-8601	249	6	and	and	CCONJ
ap-8601	249	7	rao	rao	NOUN
ap-8601	250	1	[	[	X
ap-8601	250	2	14	14	NUM
ap-8601	250	3	,	,	PUNCT
ap-8601	250	4	15	15	NUM
ap-8601	250	5	,	,	PUNCT
ap-8601	250	6	24	24	NUM
ap-8601	250	7	]	]	PUNCT
ap-8601	250	8	is	be	AUX
ap-8601	250	9	used	use	VERB
ap-8601	250	10	to	to	PART
ap-8601	250	11	get	get	VERB
ap-8601	250	12	approximate	approximate	ADJ
ap-8601	250	13	analytical	analytical	ADJ
ap-8601	250	14	solutions	solution	NOUN
ap-8601	250	15	.	.	PUNCT
ap-8601	251	1	therefore	therefore	ADV
ap-8601	251	2	,	,	PUNCT
ap-8601	251	3	the	the	DET
ap-8601	251	4	classical	classical	ADJ
ap-8601	251	5	perturbation	perturbation	NOUN
ap-8601	251	6	method	method	NOUN
ap-8601	251	7	is	be	AUX
ap-8601	251	8	used	use	VERB
ap-8601	251	9	to	to	PART
ap-8601	251	10	solve	solve	VERB
ap-8601	251	11	it	it	PRON
ap-8601	251	12	.	.	PUNCT
ap-8601	252	1	the	the	DET
ap-8601	252	2	perturbation	perturbation	NOUN
ap-8601	252	3	series	series	NOUN
ap-8601	252	4	for	for	ADP
ap-8601	252	5	p	p	PROPN
ap-8601	252	6	can	can	AUX
ap-8601	252	7	be	be	AUX
ap-8601	252	8	expressed	express	VERB
ap-8601	252	9	in	in	ADP
ap-8601	252	10	the	the	DET
ap-8601	252	11	form	form	NOUN
ap-8601	252	12	:	:	PUNCT
ap-8601	252	13	p	p	NOUN
ap-8601	252	14	∗	∗	NOUN
ap-8601	252	15	=	=	PUNCT
ap-8601	252	16	p	p	NOUN
ap-8601	252	17	∗	∗	NOUN
ap-8601	252	18	0	0	NUM
ap-8601	253	1	+	+	CCONJ
ap-8601	253	2	ωp	ωp	PRON
ap-8601	253	3	∗	∗	NOUN
ap-8601	253	4	1	1	NUM
ap-8601	253	5	+	+	NUM
ap-8601	253	6	ω2p	ω2p	NOUN
ap-8601	253	7	∗	∗	NOUN
ap-8601	253	8	2	2	NUM
ap-8601	253	9	+	+	CCONJ
ap-8601	253	10	.	.	PUNCT
ap-8601	253	11	.	.	PUNCT
ap-8601	253	12	.	.	PUNCT
ap-8601	254	1	(	(	PUNCT
ap-8601	254	2	36	36	NUM
ap-8601	254	3	)	)	PUNCT
ap-8601	254	4	for	for	ADP
ap-8601	254	5	ω	ω	NUM
ap-8601	254	6	≪	≪	ADJ
ap-8601	254	7	1	1	NUM
ap-8601	254	8	,	,	PUNCT
ap-8601	254	9	it	it	PRON
ap-8601	254	10	is	be	AUX
ap-8601	254	11	sufficient	sufficient	ADJ
ap-8601	254	12	,	,	PUNCT
ap-8601	254	13	for	for	ADP
ap-8601	254	14	the	the	DET
ap-8601	254	15	analysis	analysis	NOUN
ap-8601	254	16	,	,	PUNCT
ap-8601	254	17	to	to	PART
ap-8601	254	18	consider	consider	VERB
ap-8601	254	19	the	the	DET
ap-8601	254	20	first	first	ADJ
ap-8601	254	21	order	order	NOUN
ap-8601	254	22	term	term	NOUN
ap-8601	254	23	in	in	ADP
ap-8601	254	24	ω	ω	PROPN
ap-8601	254	25	as	as	SCONJ
ap-8601	254	26	follows	follow	VERB
ap-8601	254	27	:	:	PUNCT
ap-8601	254	28	for	for	ADP
ap-8601	254	29	small	small	ADJ
ap-8601	254	30	values	value	NOUN
ap-8601	254	31	of	of	ADP
ap-8601	254	32	the	the	DET
ap-8601	254	33	nonlinear	nonlinear	PROPN
ap-8601	254	34	parameter	parameter	PROPN
ap-8601	254	35	ω	ω	PROPN
ap-8601	254	36	,	,	PUNCT
ap-8601	254	37	the	the	DET
ap-8601	254	38	fp	fp	PROPN
ap-8601	254	39	is	be	AUX
ap-8601	254	40	perturbed	perturb	VERB
ap-8601	254	41	:	:	PUNCT
ap-8601	254	42	p	p	NOUN
ap-8601	254	43	∗	∗	NOUN
ap-8601	254	44	=	=	PUNCT
ap-8601	254	45	p	p	NOUN
ap-8601	254	46	∗	∗	NOUN
ap-8601	254	47	0	0	NUM
ap-8601	255	1	+	+	CCONJ
ap-8601	255	2	ωp	ωp	PRON
ap-8601	255	3	∗	∗	NOUN
ap-8601	255	4	1	1	NUM
ap-8601	255	5	,	,	PUNCT
ap-8601	255	6	(	(	PUNCT
ap-8601	255	7	37	37	NUM
ap-8601	255	8	)	)	PUNCT
ap-8601	255	9	for	for	ADP
ap-8601	255	10	the	the	DET
ap-8601	255	11	higher	high	ADJ
ap-8601	255	12	values	value	NOUN
ap-8601	255	13	of	of	ADP
ap-8601	255	14	ω	ω	PROPN
ap-8601	255	15	,	,	PUNCT
ap-8601	255	16	second	second	ADJ
ap-8601	255	17	and	and	CCONJ
ap-8601	255	18	higher	high	ADJ
ap-8601	255	19	-	-	PUNCT
ap-8601	255	20	order	order	NOUN
ap-8601	255	21	terms	term	NOUN
ap-8601	255	22	can	can	AUX
ap-8601	255	23	be	be	AUX
ap-8601	255	24	considered	consider	VERB
ap-8601	255	25	to	to	PART
ap-8601	255	26	increase	increase	VERB
ap-8601	255	27	the	the	DET
ap-8601	255	28	accuracy	accuracy	NOUN
ap-8601	255	29	of	of	ADP
ap-8601	255	30	the	the	DET
ap-8601	255	31	results	result	NOUN
ap-8601	255	32	.	.	PUNCT
ap-8601	256	1	however	however	ADV
ap-8601	256	2	,	,	PUNCT
ap-8601	256	3	for	for	ADP
ap-8601	256	4	the	the	DET
ap-8601	256	5	higher	high	ADJ
ap-8601	256	6	values	value	NOUN
ap-8601	256	7	of	of	ADP
ap-8601	256	8	ω	ω	NUM
ap-8601	256	9	,	,	PUNCT
ap-8601	256	10	it	it	PRON
ap-8601	256	11	is	be	AUX
ap-8601	256	12	more	more	ADV
ap-8601	256	13	appropriate	appropriate	ADJ
ap-8601	256	14	to	to	PART
ap-8601	256	15	adopt	adopt	VERB
ap-8601	256	16	a	a	DET
ap-8601	256	17	numerical	numerical	ADJ
ap-8601	256	18	solution	solution	NOUN
ap-8601	256	19	procedure	procedure	NOUN
ap-8601	256	20	such	such	ADJ
ap-8601	256	21	as	as	ADP
ap-8601	256	22	the	the	DET
ap-8601	256	23	finite	finite	ADJ
ap-8601	256	24	element	element	NOUN
ap-8601	256	25	method	method	NOUN
ap-8601	256	26	to	to	PART
ap-8601	256	27	solve	solve	VERB
ap-8601	256	28	the	the	DET
ap-8601	256	29	reynolds	reynolds	PROPN
ap-8601	256	30	equation	equation	NOUN
ap-8601	256	31	.	.	PUNCT
ap-8601	257	1	to	to	PART
ap-8601	257	2	obtain	obtain	VERB
ap-8601	257	3	the	the	DET
ap-8601	257	4	fp	fp	X
ap-8601	257	5	p	p	PROPN
ap-8601	257	6	∗	∗	NOUN
ap-8601	257	7	0	0	PUNCT
ap-8601	258	1	and	and	CCONJ
ap-8601	258	2	p	p	NOUN
ap-8601	258	3	∗	∗	NOUN
ap-8601	258	4	1	1	NUM
ap-8601	258	5	,	,	PUNCT
ap-8601	258	6	we	we	PRON
ap-8601	258	7	substitute	substitute	VERB
ap-8601	258	8	equation	equation	NOUN
ap-8601	258	9	37	37	NUM
ap-8601	258	10	into	into	ADP
ap-8601	258	11	the	the	DET
ap-8601	258	12	modified	modify	VERB
ap-8601	258	13	nlre	nlre	ADJ
ap-8601	258	14	equation	equation	NOUN
ap-8601	258	15	32	32	NUM
ap-8601	258	16	∂	∂	NUM
ap-8601	258	17	∂r∗	∂r∗	NOUN
ap-8601	258	18	[	[	PUNCT
ap-8601	258	19	r∗g∗	r∗g∗	NOUN
ap-8601	258	20	1(h∗	1(h∗	NUM
ap-8601	258	21	,	,	PUNCT
ap-8601	258	22	r∗	r∗	NOUN
ap-8601	258	23	0	0	NUM
ap-8601	258	24	,	,	PUNCT
ap-8601	258	25	h	h	NOUN
ap-8601	258	26	∗	∗	NOUN
ap-8601	258	27	0	0	NUM
ap-8601	258	28	,	,	PUNCT
ap-8601	258	29	c	c	NOUN
ap-8601	258	30	∗	∗	NOUN
ap-8601	258	31	)	)	PUNCT
ap-8601	259	1	(	(	PUNCT
ap-8601	259	2	∂p	∂p	NOUN
ap-8601	259	3	∗	∗	NOUN
ap-8601	259	4	∂r∗	∂r∗	NOUN
ap-8601	259	5	)	)	PUNCT
ap-8601	259	6	]	]	PUNCT
ap-8601	260	1	+	+	CCONJ
ap-8601	260	2	12r∗	12r∗	NUM
ap-8601	260	3	=	=	SYM
ap-8601	260	4	0	0	NUM
ap-8601	260	5	,	,	PUNCT
ap-8601	260	6	(	(	PUNCT
ap-8601	260	7	38	38	NUM
ap-8601	260	8	)	)	PUNCT
ap-8601	260	9	∂	∂	NOUN
ap-8601	260	10	∂r∗	∂r∗	NOUN
ap-8601	260	11	[	[	PUNCT
ap-8601	260	12	r∗g∗	r∗g∗	NOUN
ap-8601	260	13	1(h∗	1(h∗	NUM
ap-8601	260	14	,	,	PUNCT
ap-8601	260	15	r∗	r∗	NOUN
ap-8601	260	16	0	0	NUM
ap-8601	260	17	,	,	PUNCT
ap-8601	260	18	h	h	NOUN
ap-8601	260	19	∗	∗	NOUN
ap-8601	260	20	0	0	NUM
ap-8601	260	21	,	,	PUNCT
ap-8601	260	22	c	c	NOUN
ap-8601	260	23	∗	∗	NOUN
ap-8601	260	24	)	)	PUNCT
ap-8601	260	25	(	(	PUNCT
ap-8601	260	26	∂p	∂p	NOUN
ap-8601	260	27	∗	∗	NOUN
ap-8601	260	28	∂r∗	∂r∗	NOUN
ap-8601	260	29	)	)	PUNCT
ap-8601	260	30	]	]	PUNCT
ap-8601	261	1	=	=	PUNCT
ap-8601	261	2	−	−	PROPN
ap-8601	261	3	3	3	NUM
ap-8601	261	4	20	20	NUM
ap-8601	261	5	g	g	NOUN
ap-8601	261	6	∗	∗	NOUN
ap-8601	261	7	2(h∗	2(h∗	NUM
ap-8601	261	8	,	,	PUNCT
ap-8601	261	9	r∗	r∗	NOUN
ap-8601	261	10	0	0	NUM
ap-8601	261	11	,	,	PUNCT
ap-8601	261	12	h	h	NOUN
ap-8601	261	13	∗	∗	NOUN
ap-8601	261	14	0	0	NUM
ap-8601	261	15	,	,	PUNCT
ap-8601	261	16	c	c	NOUN
ap-8601	261	17	∗	∗	NOUN
ap-8601	261	18	)	)	PUNCT
ap-8601	261	19	∂	∂	NOUN
ap-8601	261	20	∂r∗	∂r∗	NOUN
ap-8601	261	21	[	[	PUNCT
ap-8601	261	22	r	r	NOUN
ap-8601	261	23	(	(	PUNCT
ap-8601	261	24	∂p	∂p	NOUN
ap-8601	261	25	∗	∗	NOUN
ap-8601	261	26	0	0	NUM
ap-8601	261	27	∂r∗	∂r∗	NOUN
ap-8601	261	28	)	)	PUNCT
ap-8601	261	29	3	3	NUM
ap-8601	261	30	]	]	PUNCT
ap-8601	261	31	.	.	PUNCT
ap-8601	262	1	(	(	PUNCT
ap-8601	262	2	39	39	NUM
ap-8601	262	3	)	)	PUNCT
ap-8601	262	4	after	after	ADP
ap-8601	262	5	solving	solve	VERB
ap-8601	262	6	equation	equation	NOUN
ap-8601	262	7	38	38	NUM
ap-8601	262	8	and	and	CCONJ
ap-8601	262	9	equation	equation	NOUN
ap-8601	262	10	39	39	NUM
ap-8601	262	11	,	,	PUNCT
ap-8601	262	12	the	the	DET
ap-8601	262	13	perturbed	perturb	VERB
ap-8601	262	14	dimensionless	dimensionless	ADJ
ap-8601	262	15	film	film	NOUN
ap-8601	262	16	pressures	pressure	NOUN
ap-8601	262	17	p	p	NOUN
ap-8601	262	18	∗	∗	NOUN
ap-8601	262	19	0	0	PUNCT
ap-8601	263	1	and	and	CCONJ
ap-8601	263	2	p	p	NOUN
ap-8601	263	3	∗	∗	NOUN
ap-8601	263	4	1	1	NUM
ap-8601	263	5	are	be	AUX
ap-8601	263	6	:	:	PUNCT
ap-8601	263	7	p	p	NOUN
ap-8601	263	8	∗	∗	NOUN
ap-8601	263	9	0	0	NUM
ap-8601	263	10	=	=	SYM
ap-8601	263	11	3	3	NUM
ap-8601	263	12	g∗	g∗	NOUN
ap-8601	263	13	1(h∗	1(h∗	NUM
ap-8601	263	14	,	,	PUNCT
ap-8601	263	15	r∗	r∗	NOUN
ap-8601	263	16	0	0	NUM
ap-8601	263	17	,	,	PUNCT
ap-8601	263	18	h	h	NOUN
ap-8601	263	19	∗	∗	NOUN
ap-8601	263	20	0	0	NUM
ap-8601	263	21	,	,	PUNCT
ap-8601	263	22	c	c	NOUN
ap-8601	263	23	∗	∗	NOUN
ap-8601	263	24	)	)	PUNCT
ap-8601	263	25	[	[	PUNCT
ap-8601	263	26	1	1	NUM
ap-8601	263	27	−	−	NOUN
ap-8601	263	28	r∗2	r∗2	ADJ
ap-8601	264	1	+	+	CCONJ
ap-8601	264	2	(	(	PUNCT
ap-8601	264	3	ω2	ω2	ADV
ap-8601	264	4	−	−	PROPN
ap-8601	264	5	1	1	NUM
ap-8601	264	6	log	log	NOUN
ap-8601	264	7	ω	ω	NUM
ap-8601	264	8	)	)	PUNCT
ap-8601	264	9	log	log	NOUN
ap-8601	264	10	r∗	r∗	PROPN
ap-8601	264	11	]	]	PUNCT
ap-8601	264	12	,	,	PUNCT
ap-8601	264	13	(	(	PUNCT
ap-8601	264	14	40	40	NUM
ap-8601	264	15	)	)	PUNCT
ap-8601	264	16	p	p	NOUN
ap-8601	264	17	∗	∗	NOUN
ap-8601	264	18	1	1	NUM
ap-8601	264	19	=	=	SYM
ap-8601	264	20	−	−	NOUN
ap-8601	264	21	a4	a4	NOUN
ap-8601	264	22	g∗	g∗	NOUN
ap-8601	264	23	1(h∗	1(h∗	NUM
ap-8601	264	24	,	,	PUNCT
ap-8601	264	25	r∗	r∗	NOUN
ap-8601	264	26	0	0	NUM
ap-8601	264	27	,	,	PUNCT
ap-8601	264	28	h	h	NOUN
ap-8601	264	29	∗	∗	NOUN
ap-8601	264	30	0	0	NUM
ap-8601	264	31	,	,	PUNCT
ap-8601	264	32	c	c	NOUN
ap-8601	264	33	∗	∗	NOUN
ap-8601	264	34	)	)	PUNCT
ap-8601	264	35	log	log	NOUN
ap-8601	264	36	r∗	r∗	NOUN
ap-8601	264	37	−	−	PROPN
ap-8601	264	38	3	3	NUM
ap-8601	264	39	20	20	NUM
ap-8601	264	40	g∗	g∗	PROPN
ap-8601	264	41	2(h∗	2(h∗	NUM
ap-8601	264	42	,	,	PUNCT
ap-8601	264	43	r∗	r∗	NOUN
ap-8601	264	44	0	0	NUM
ap-8601	264	45	,	,	PUNCT
ap-8601	264	46	h	h	NOUN
ap-8601	264	47	∗	∗	NOUN
ap-8601	264	48	0	0	NUM
ap-8601	264	49	,	,	PUNCT
ap-8601	264	50	c	c	NOUN
ap-8601	264	51	∗	∗	NOUN
ap-8601	264	52	)	)	PUNCT
ap-8601	264	53	g∗	g∗	PROPN
ap-8601	264	54	1(h∗	1(h∗	NUM
ap-8601	264	55	,	,	PUNCT
ap-8601	264	56	r∗	r∗	NOUN
ap-8601	264	57	0	0	NUM
ap-8601	264	58	,	,	PUNCT
ap-8601	264	59	h	h	NOUN
ap-8601	264	60	∗	∗	NOUN
ap-8601	264	61	0	0	NUM
ap-8601	264	62	,	,	PUNCT
ap-8601	264	63	c	c	NOUN
ap-8601	264	64	∗	∗	NOUN
ap-8601	264	65	)	)	PUNCT
ap-8601	264	66	{	{	PUNCT
ap-8601	264	67	[	[	PUNCT
ap-8601	264	68	54(1	54(1	NUM
ap-8601	264	69	−	−	PROPN
ap-8601	264	70	r∗4	r∗4	NOUN
ap-8601	264	71	)	)	PUNCT
ap-8601	264	72	−	−	PROPN
ap-8601	265	1	54a4(1	54a4(1	NUM
ap-8601	265	2	−	−	NOUN
ap-8601	265	3	r∗2	r∗2	NOUN
ap-8601	265	4	)	)	PUNCT
ap-8601	265	5	−	−	PROPN
ap-8601	266	1	18a2	18a2	NUM
ap-8601	266	2	4	4	NUM
ap-8601	266	3	log	log	NOUN
ap-8601	266	4	r∗	r∗	PROPN
ap-8601	266	5	]	]	X
ap-8601	267	1	+1	+1	X
ap-8601	267	2	2a	2a	NUM
ap-8601	267	3	3	3	NUM
ap-8601	267	4	4	4	NUM
ap-8601	267	5	(	(	PUNCT
ap-8601	267	6	1	1	NUM
ap-8601	267	7	r∗2	r∗2	ADJ
ap-8601	267	8	−	−	PROPN
ap-8601	267	9	1	1	NUM
ap-8601	267	10	)	)	PUNCT
ap-8601	267	11	}	}	PUNCT
ap-8601	267	12	,	,	PUNCT
ap-8601	267	13	(	(	PUNCT
ap-8601	267	14	41	41	NUM
ap-8601	267	15	)	)	PUNCT
ap-8601	267	16	where	where	SCONJ
ap-8601	267	17	a4	a4	NOUN
ap-8601	267	18	=	=	SYM
ap-8601	267	19	−3(1	−3(1	NOUN
ap-8601	267	20	−	−	PROPN
ap-8601	267	21	ω2	ω2	ADJ
ap-8601	267	22	)	)	PUNCT
ap-8601	267	23	log	log	NOUN
ap-8601	267	24	ω	ω	NUM
ap-8601	267	25	a2	a2	PROPN
ap-8601	267	26	=	=	SYM
ap-8601	267	27	3	3	NUM
ap-8601	267	28	20	20	NUM
ap-8601	267	29	g∗	g∗	PROPN
ap-8601	267	30	2(h∗	2(h∗	NUM
ap-8601	267	31	,	,	PUNCT
ap-8601	267	32	r∗	r∗	NOUN
ap-8601	267	33	0	0	NUM
ap-8601	267	34	,	,	PUNCT
ap-8601	267	35	h	h	NOUN
ap-8601	267	36	∗	∗	NOUN
ap-8601	267	37	0	0	NUM
ap-8601	267	38	,	,	PUNCT
ap-8601	267	39	c	c	NOUN
ap-8601	267	40	∗	∗	NOUN
ap-8601	267	41	)	)	PUNCT
ap-8601	267	42	g∗4	g∗4	NOUN
ap-8601	267	43	1	1	NUM
ap-8601	267	44	(	(	PUNCT
ap-8601	267	45	h∗	h∗	PROPN
ap-8601	267	46	,	,	PUNCT
ap-8601	267	47	r∗	r∗	PROPN
ap-8601	267	48	0	0	NUM
ap-8601	267	49	,	,	PUNCT
ap-8601	267	50	h	h	NOUN
ap-8601	267	51	∗	∗	NOUN
ap-8601	267	52	0	0	NUM
ap-8601	267	53	,	,	PUNCT
ap-8601	267	54	c	c	NOUN
ap-8601	267	55	∗	∗	NOUN
ap-8601	267	56	)	)	PUNCT
ap-8601	267	57	1	1	NUM
ap-8601	267	58	log	log	NOUN
ap-8601	267	59	ω	ω	NUM
ap-8601	267	60	{	{	PUNCT
ap-8601	267	61	54(1	54(1	NUM
ap-8601	267	62	−	−	PROPN
ap-8601	267	63	r∗4	r∗4	NOUN
ap-8601	267	64	)	)	PUNCT
ap-8601	267	65	−	−	PROPN
ap-8601	268	1	54a4(1	54a4(1	NUM
ap-8601	268	2	−	−	PROPN
ap-8601	268	3	ω2	ω2	ADJ
ap-8601	268	4	)	)	PUNCT
ap-8601	268	5	−18a2	−18a2	X
ap-8601	268	6	4	4	NUM
ap-8601	268	7	logs	log	NOUN
ap-8601	268	8	+	+	X
ap-8601	268	9	1	1	NUM
ap-8601	268	10	2a	2a	NUM
ap-8601	268	11	3	3	NUM
ap-8601	268	12	4	4	NUM
ap-8601	268	13	(	(	PUNCT
ap-8601	268	14	1	1	NUM
ap-8601	268	15	ω2	ω2	ADV
ap-8601	268	16	−	−	PROPN
ap-8601	268	17	1	1	NUM
ap-8601	268	18	)	)	PUNCT
ap-8601	268	19	}	}	PUNCT
ap-8601	268	20	.	.	PUNCT
ap-8601	269	1	(	(	PUNCT
ap-8601	269	2	42	42	NUM
ap-8601	269	3	)	)	PUNCT
ap-8601	269	4	the	the	DET
ap-8601	269	5	fp	fp	PROPN
ap-8601	269	6	is	be	AUX
ap-8601	269	7	integrated	integrate	VERB
ap-8601	269	8	into	into	ADP
ap-8601	269	9	the	the	DET
ap-8601	269	10	domain	domain	NOUN
ap-8601	270	1	[	[	X
ap-8601	270	2	r̂1	r̂1	PROPN
ap-8601	270	3	,	,	PUNCT
ap-8601	270	4	r̂2	r̂2	PROPN
ap-8601	270	5	]	]	PUNCT
ap-8601	270	6	to	to	PART
ap-8601	270	7	get	get	VERB
ap-8601	270	8	the	the	DET
ap-8601	270	9	lcc	lcc	NOUN
ap-8601	270	10	of	of	ADP
ap-8601	270	11	annular	annular	ADJ
ap-8601	270	12	discs	disc	NOUN
ap-8601	270	13	.	.	PUNCT
ap-8601	271	1	w	w	NOUN
ap-8601	271	2	=	=	PUNCT
ap-8601	271	3	2π	2π	PROPN
ap-8601	271	4	r̂2∫	r̂2∫	DET
ap-8601	271	5	r̂1	r̂1	PROPN
ap-8601	272	1	pr̂dr̂.	pr̂dr̂.	PROPN
ap-8601	272	2	(	(	PUNCT
ap-8601	272	3	43	43	NUM
ap-8601	272	4	)	)	PUNCT
ap-8601	272	5	the	the	DET
ap-8601	272	6	dimensionless	dimensionless	NOUN
ap-8601	272	7	form	form	NOUN
ap-8601	272	8	of	of	ADP
ap-8601	272	9	equation	equation	NOUN
ap-8601	272	10	43	43	NUM
ap-8601	272	11	is	be	AUX
ap-8601	272	12	given	give	VERB
ap-8601	272	13	below	below	ADP
ap-8601	272	14	:	:	PUNCT
ap-8601	272	15	w	w	NOUN
ap-8601	272	16	∗	∗	NOUN
ap-8601	272	17	=	=	SYM
ap-8601	272	18	ŵ	ŵ	X
ap-8601	272	19	ĥ3	ĥ3	NOUN
ap-8601	272	20	0	0	NUM
ap-8601	272	21	µ̂0r̂4	µ̂0r̂4	PRON
ap-8601	272	22	2(−dĥ/dt	2(−dĥ/dt	NOUN
ap-8601	272	23	)	)	PUNCT
ap-8601	272	24	=	=	PUNCT
ap-8601	273	1	2π	2π	NOUN
ap-8601	273	2	1∫	1∫	NUM
ap-8601	273	3	ω	ω	NUM
ap-8601	273	4	p	p	X
ap-8601	273	5	∗r∗dr∗.	∗r∗dr∗.	PROPN
ap-8601	273	6	(	(	PUNCT
ap-8601	273	7	44	44	NUM
ap-8601	273	8	)	)	PUNCT
ap-8601	273	9	introducing	introduce	VERB
ap-8601	273	10	the	the	DET
ap-8601	273	11	dimensionless	dimensionless	NOUN
ap-8601	273	12	srt	srt	NOUN
ap-8601	273	13	as	as	ADP
ap-8601	273	14	:	:	PUNCT
ap-8601	273	15	t∗	t∗	NOUN
ap-8601	273	16	=	=	SYM
ap-8601	273	17	wĥ2	wĥ2	PROPN
ap-8601	273	18	0	0	PUNCT
ap-8601	274	1	µ̂0r̂4	µ̂0r̂4	DET
ap-8601	274	2	2	2	NUM
ap-8601	274	3	t̂	t̂	NOUN
ap-8601	274	4	,	,	PUNCT
ap-8601	274	5	(	(	PUNCT
ap-8601	274	6	45	45	NUM
ap-8601	274	7	)	)	PUNCT
ap-8601	274	8	substituting	substitute	VERB
ap-8601	274	9	equation	equation	NOUN
ap-8601	274	10	45	45	NUM
ap-8601	274	11	into	into	ADP
ap-8601	274	12	equation	equation	NOUN
ap-8601	274	13	44	44	NUM
ap-8601	274	14	yields	yield	NOUN
ap-8601	274	15	the	the	DET
ap-8601	274	16	ordinary	ordinary	ADJ
ap-8601	274	17	differential	differential	ADJ
ap-8601	274	18	equation	equation	NOUN
ap-8601	274	19	that	that	PRON
ap-8601	274	20	incorporates	incorporate	VERB
ap-8601	274	21	the	the	DET
ap-8601	274	22	film	film	NOUN
ap-8601	274	23	height	height	NOUN
ap-8601	274	24	,	,	PUNCT
ap-8601	274	25	which	which	PRON
ap-8601	274	26	varies	vary	VERB
ap-8601	274	27	with	with	ADP
ap-8601	274	28	srt	srt	PROPN
ap-8601	274	29	.	.	PROPN
ap-8601	274	30	dh∗	dh∗	PROPN
ap-8601	274	31	dt∗	dt∗	PROPN
ap-8601	275	1	=	=	PUNCT
ap-8601	275	2	−	−	PROPN
ap-8601	275	3	1	1	NUM
ap-8601	275	4	w	w	NOUN
ap-8601	275	5	∗	∗	NOUN
ap-8601	275	6	.	.	PUNCT
ap-8601	276	1	(	(	PUNCT
ap-8601	276	2	46	46	NUM
ap-8601	276	3	)	)	PUNCT
ap-8601	276	4	445	445	NUM
ap-8601	276	5	a.	a.	NOUN
ap-8601	276	6	k.	k.	PROPN
ap-8601	276	7	rahul	rahul	PROPN
ap-8601	276	8	,	,	PUNCT
ap-8601	276	9	m.	m.	PROPN
ap-8601	276	10	k.	k.	PROPN
ap-8601	276	11	singh	singh	PROPN
ap-8601	276	12	,	,	PUNCT
ap-8601	276	13	r.	r.	PROPN
ap-8601	276	14	tiwari	tiwari	PROPN
ap-8601	276	15	et	et	PROPN
ap-8601	277	1	al	al	PROPN
ap-8601	277	2	.	.	PROPN
ap-8601	277	3	acta	acta	PROPN
ap-8601	277	4	polytechnica	polytechnica	PROPN
ap-8601	277	5	0.62	0.62	NUM
ap-8601	277	6	0.64	0.64	NUM
ap-8601	277	7	0.66	0.66	NUM
ap-8601	277	8	0.68	0.68	NUM
ap-8601	277	9	0.70	0.70	NUM
ap-8601	277	10	0.72	0.72	NUM
ap-8601	277	11	13.0	13.0	NUM
ap-8601	277	12	13.5	13.5	NUM
ap-8601	277	13	14.0	14.0	NUM
ap-8601	277	14	14.5	14.5	NUM
ap-8601	277	15	15.0	15.0	NUM
ap-8601	277	16	r	r	NOUN
ap-8601	277	17	*	*	PUNCT
ap-8601	277	18	p	p	NOUN
ap-8601	277	19	*	*	PUNCT
ap-8601	277	20	ω	ω	X
ap-8601	277	21	=	=	SYM
ap-8601	277	22	0.0	0.0	NUM
ap-8601	277	23	hnewtonianl	hnewtonianl	PROPN
ap-8601	277	24	ω	ω	PROPN
ap-8601	277	25	=	=	PROPN
ap-8601	277	26	0.0002	0.0002	NUM
ap-8601	277	27	ω	ω	NUM
ap-8601	277	28	=	=	SYM
ap-8601	277	29	-0.0002h0	-0.0002h0	PUNCT
ap-8601	278	1	*	*	PUNCT
ap-8601	278	2	=	=	PUNCT
ap-8601	278	3	r0	r0	NOUN
ap-8601	278	4	*	*	PUNCT
ap-8601	279	1	=	=	PUNCT
ap-8601	279	2	c	c	X
ap-8601	279	3	*	*	PUNCT
ap-8601	279	4	=	=	SYM
ap-8601	279	5	0.0	0.0	NUM
ap-8601	279	6	hredl	hredl	NOUN
ap-8601	279	7	lin@8d	lin@8d	PROPN
ap-8601	279	8	h0	h0	NOUN
ap-8601	279	9	*	*	PUNCT
ap-8601	279	10	=	=	PUNCT
ap-8601	279	11	r0	r0	NOUN
ap-8601	279	12	*	*	PUNCT
ap-8601	280	1	=	=	PUNCT
ap-8601	280	2	0.2	0.2	NUM
ap-8601	280	3	hgreen	hgreen	ADJ
ap-8601	280	4	,	,	PUNCT
ap-8601	280	5	azimuthall	azimuthall	NOUN
ap-8601	280	6	h0	h0	NOUN
ap-8601	280	7	*	*	PUNCT
ap-8601	281	1	=	=	PUNCT
ap-8601	281	2	r0	r0	NOUN
ap-8601	281	3	*	*	PUNCT
ap-8601	282	1	=	=	NOUN
ap-8601	282	2	0.2	0.2	NUM
ap-8601	282	3	hblue	hblue	NOUN
ap-8601	282	4	,	,	PUNCT
ap-8601	282	5	radiall	radiall	NOUN
ap-8601	282	6	red	red	ADJ
ap-8601	282	7	,	,	PUNCT
ap-8601	282	8	green	green	ADJ
ap-8601	282	9	,	,	PUNCT
ap-8601	282	10	blue	blue	ADJ
ap-8601	282	11	0.4	0.4	NUM
ap-8601	282	12	0.5	0.5	NUM
ap-8601	282	13	0.6	0.6	NUM
ap-8601	282	14	0.7	0.7	NUM
ap-8601	282	15	0.8	0.8	NUM
ap-8601	282	16	0.9	0.9	NUM
ap-8601	282	17	1.0	1.0	NUM
ap-8601	282	18	0	0	NUM
ap-8601	282	19	5	5	NUM
ap-8601	282	20	10	10	NUM
ap-8601	282	21	15	15	NUM
ap-8601	282	22	20	20	NUM
ap-8601	282	23	25	25	NUM
ap-8601	282	24	r	r	NOUN
ap-8601	282	25	*	*	PUNCT
ap-8601	282	26	p	p	NOUN
ap-8601	282	27	*	*	PUNCT
ap-8601	282	28	figure	figure	NOUN
ap-8601	282	29	2	2	NUM
ap-8601	282	30	.	.	PUNCT
ap-8601	282	31	variations	variation	NOUN
ap-8601	282	32	in	in	ADP
ap-8601	282	33	fp	fp	X
ap-8601	282	34	(	(	PUNCT
ap-8601	282	35	p	p	NOUN
ap-8601	282	36	∗	∗	NOUN
ap-8601	282	37	)	)	PUNCT
ap-8601	282	38	with	with	ADP
ap-8601	282	39	a	a	DET
ap-8601	282	40	coordinate	coordinate	NOUN
ap-8601	282	41	axis	axis	NOUN
ap-8601	282	42	(	(	PUNCT
ap-8601	282	43	r∗	r∗	PROPN
ap-8601	282	44	)	)	PUNCT
ap-8601	282	45	for	for	ADP
ap-8601	282	46	different	different	ADJ
ap-8601	282	47	values	value	NOUN
ap-8601	282	48	of	of	ADP
ap-8601	282	49	ω	ω	PROPN
ap-8601	282	50	,	,	PUNCT
ap-8601	282	51	h∗	h∗	PROPN
ap-8601	282	52	0	0	PUNCT
ap-8601	282	53	and	and	CCONJ
ap-8601	282	54	r∗	r∗	VERB
ap-8601	282	55	0	0	PUNCT
ap-8601	282	56	with	with	ADP
ap-8601	282	57	ω	ω	PROPN
ap-8601	282	58	=	=	SYM
ap-8601	282	59	0.4	0.4	NUM
ap-8601	282	60	and	and	CCONJ
ap-8601	282	61	c∗	c∗	PROPN
ap-8601	282	62	=	=	SYM
ap-8601	282	63	0.1	0.1	NUM
ap-8601	282	64	and	and	CCONJ
ap-8601	282	65	h∗	h∗	PROPN
ap-8601	282	66	=	=	NOUN
ap-8601	282	67	0.3	0.3	NUM
ap-8601	282	68	.	.	PUNCT
ap-8601	283	1	the	the	DET
ap-8601	283	2	non	non	ADJ
ap-8601	283	3	-	-	ADJ
ap-8601	283	4	dimensional	dimensional	ADJ
ap-8601	283	5	film	film	NOUN
ap-8601	283	6	thickness	thickness	NOUN
ap-8601	283	7	t∗	t∗	NOUN
ap-8601	283	8	=	=	SYM
ap-8601	283	9	0	0	NUM
ap-8601	283	10	is	be	AUX
ap-8601	283	11	initially	initially	ADV
ap-8601	283	12	under	under	ADP
ap-8601	283	13	the	the	DET
ap-8601	283	14	condition	condition	NOUN
ap-8601	283	15	of	of	ADP
ap-8601	283	16	h∗	h∗	PROPN
ap-8601	283	17	=	=	NOUN
ap-8601	283	18	1	1	X
ap-8601	283	19	.	.	X
ap-8601	283	20	integrate	integrate	VERB
ap-8601	283	21	this	this	DET
ap-8601	283	22	equation	equation	NOUN
ap-8601	283	23	while	while	SCONJ
ap-8601	283	24	using	use	VERB
ap-8601	283	25	the	the	DET
ap-8601	283	26	initial	initial	ADJ
ap-8601	283	27	condition	condition	NOUN
ap-8601	283	28	:	:	PUNCT
ap-8601	284	1	t∗	t∗	NOUN
ap-8601	284	2	=	=	SYM
ap-8601	284	3	1∫	1∫	NUM
ap-8601	284	4	h∗	h∗	NOUN
ap-8601	284	5	1	1	NUM
ap-8601	284	6	w	w	PROPN
ap-8601	284	7	∗	∗	NOUN
ap-8601	284	8	dh	dh	NOUN
ap-8601	284	9	∗.	∗.	PROPN
ap-8601	284	10	(	(	PUNCT
ap-8601	284	11	47	47	NUM
ap-8601	284	12	)	)	PUNCT
ap-8601	284	13	with	with	ADP
ap-8601	284	14	the	the	DET
ap-8601	284	15	use	use	NOUN
ap-8601	284	16	of	of	ADP
ap-8601	284	17	the	the	DET
ap-8601	284	18	gaussian	gaussian	ADJ
ap-8601	284	19	quadrature	quadrature	NOUN
ap-8601	284	20	integration	integration	NOUN
ap-8601	284	21	algorithm	algorithm	NOUN
ap-8601	284	22	,	,	PUNCT
ap-8601	284	23	we	we	PRON
ap-8601	284	24	were	be	AUX
ap-8601	284	25	able	able	ADJ
ap-8601	284	26	to	to	PART
ap-8601	284	27	determine	determine	VERB
ap-8601	284	28	the	the	DET
ap-8601	284	29	properties	property	NOUN
ap-8601	284	30	of	of	ADP
ap-8601	284	31	the	the	DET
ap-8601	284	32	discs	disc	NOUN
ap-8601	284	33	by	by	ADP
ap-8601	284	34	applying	apply	VERB
ap-8601	284	35	the	the	DET
ap-8601	284	36	boundary	boundary	ADJ
ap-8601	284	37	conditions	condition	NOUN
ap-8601	284	38	and	and	CCONJ
ap-8601	284	39	including	include	VERB
ap-8601	284	40	the	the	DET
ap-8601	284	41	variable	variable	NOUN
ap-8601	284	42	.	.	PUNCT
ap-8601	285	1	4	4	X
ap-8601	285	2	.	.	NOUN
ap-8601	285	3	results	result	NOUN
ap-8601	285	4	and	and	CCONJ
ap-8601	285	5	discussion	discussion	VERB
ap-8601	285	6	the	the	DET
ap-8601	285	7	characteristics	characteristic	NOUN
ap-8601	285	8	of	of	ADP
ap-8601	285	9	a	a	DET
ap-8601	285	10	squeeze	squeeze	NOUN
ap-8601	285	11	film	film	NOUN
ap-8601	285	12	between	between	ADP
ap-8601	285	13	porous	porous	ADJ
ap-8601	285	14	rough	rough	ADJ
ap-8601	285	15	annular	annular	ADJ
ap-8601	285	16	discs	disc	NOUN
ap-8601	285	17	under	under	ADP
ap-8601	285	18	rfm	rfm	PROPN
ap-8601	285	19	are	be	AUX
ap-8601	285	20	investigated	investigate	VERB
ap-8601	285	21	and	and	CCONJ
ap-8601	285	22	the	the	DET
ap-8601	285	23	results	result	NOUN
ap-8601	285	24	of	of	ADP
ap-8601	285	25	this	this	DET
ap-8601	285	26	study	study	NOUN
ap-8601	285	27	are	be	AUX
ap-8601	285	28	represented	represent	VERB
ap-8601	285	29	in	in	ADP
ap-8601	285	30	the	the	DET
ap-8601	285	31	form	form	NOUN
ap-8601	285	32	of	of	ADP
ap-8601	285	33	graphs	graph	NOUN
ap-8601	285	34	and	and	CCONJ
ap-8601	285	35	tables	table	NOUN
ap-8601	285	36	.	.	PUNCT
ap-8601	286	1	in	in	ADP
ap-8601	286	2	the	the	DET
ap-8601	286	3	beginning	beginning	NOUN
ap-8601	286	4	of	of	ADP
ap-8601	286	5	this	this	DET
ap-8601	286	6	study	study	NOUN
ap-8601	286	7	,	,	PUNCT
ap-8601	286	8	darcy	darcy	PROPN
ap-8601	286	9	’s	’s	PART
ap-8601	286	10	law	law	PROPN
ap-8601	286	11	and	and	CCONJ
ap-8601	286	12	morgan	morgan	PROPN
ap-8601	286	13	-	-	PUNCT
ap-8601	286	14	cameron	cameron	PROPN
ap-8601	286	15	approximation	approximation	NOUN
ap-8601	286	16	are	be	AUX
ap-8601	286	17	chosen	choose	VERB
ap-8601	286	18	for	for	ADP
ap-8601	286	19	nnf	nnf	NOUN
ap-8601	286	20	in	in	ADP
ap-8601	286	21	the	the	DET
ap-8601	286	22	porous	porous	ADJ
ap-8601	286	23	matrix	matrix	NOUN
ap-8601	286	24	condition	condition	NOUN
ap-8601	286	25	with	with	ADP
ap-8601	286	26	homogeneous	homogeneous	ADJ
ap-8601	286	27	capillary	capillary	ADJ
ap-8601	286	28	tubes	tube	NOUN
ap-8601	286	29	and	and	CCONJ
ap-8601	286	30	the	the	DET
ap-8601	286	31	christensen	christensen	PROPN
ap-8601	286	32	stochastic	stochastic	ADJ
ap-8601	286	33	theory	theory	NOUN
ap-8601	286	34	for	for	ADP
ap-8601	286	35	surface	surface	NOUN
ap-8601	286	36	roughness	roughness	NOUN
ap-8601	286	37	(	(	PUNCT
ap-8601	286	38	sr	sr	PROPN
ap-8601	286	39	)	)	PUNCT
ap-8601	286	40	on	on	ADP
ap-8601	286	41	annular	annular	ADJ
ap-8601	286	42	discs	disc	NOUN
ap-8601	286	43	.	.	PUNCT
ap-8601	287	1	for	for	ADP
ap-8601	287	2	this	this	DET
ap-8601	287	3	given	give	VERB
ap-8601	287	4	special	special	ADJ
ap-8601	287	5	case	case	NOUN
ap-8601	287	6	,	,	PUNCT
ap-8601	287	7	the	the	DET
ap-8601	287	8	value	value	NOUN
ap-8601	287	9	of	of	ADP
ap-8601	287	10	ω	ω	PROPN
ap-8601	287	11	→	→	SYM
ap-8601	287	12	0	0	NUM
ap-8601	287	13	.	.	PUNCT
ap-8601	287	14	∂	∂	NOUN
ap-8601	288	1	∂r∗	∂r∗	NOUN
ap-8601	288	2	[	[	PUNCT
ap-8601	288	3	r∗	r∗	PROPN
ap-8601	288	4	{	{	PUNCT
ap-8601	288	5	g∗	g∗	PROPN
ap-8601	288	6	1(h∗	1(h∗	PROPN
ap-8601	288	7	,	,	PUNCT
ap-8601	288	8	r∗	r∗	NOUN
ap-8601	288	9	0	0	NUM
ap-8601	288	10	,	,	PUNCT
ap-8601	288	11	h	h	NOUN
ap-8601	288	12	∗	∗	NOUN
ap-8601	288	13	0	0	NUM
ap-8601	288	14	,	,	PUNCT
ap-8601	288	15	c	c	NOUN
ap-8601	288	16	∗	∗	NOUN
ap-8601	288	17	)	)	PUNCT
ap-8601	288	18	(	(	PUNCT
ap-8601	288	19	∂p	∂p	NOUN
ap-8601	288	20	∗	∗	NOUN
ap-8601	288	21	∂r∗	∂r∗	NOUN
ap-8601	288	22	)	)	PUNCT
ap-8601	288	23	}	}	PUNCT
ap-8601	288	24	]	]	PUNCT
ap-8601	289	1	=	=	PUNCT
ap-8601	289	2	−12r∗.	−12r∗.	NOUN
ap-8601	289	3	(	(	PUNCT
ap-8601	289	4	48	48	NUM
ap-8601	289	5	)	)	PUNCT
ap-8601	289	6	as	as	ADP
ap-8601	289	7	the	the	DET
ap-8601	289	8	porous	porous	ADJ
ap-8601	289	9	,	,	PUNCT
ap-8601	289	10	roughness	roughness	NOUN
ap-8601	289	11	,	,	PUNCT
ap-8601	289	12	and	and	CCONJ
ap-8601	289	13	viscosity	viscosity	NOUN
ap-8601	289	14	variation	variation	NOUN
ap-8601	289	15	parameters	parameter	NOUN
ap-8601	289	16	tend	tend	VERB
ap-8601	289	17	to	to	ADP
ap-8601	289	18	zero	zero	NUM
ap-8601	289	19	(	(	PUNCT
ap-8601	289	20	h∗	h∗	NOUN
ap-8601	289	21	0	0	NUM
ap-8601	289	22	→	→	SYM
ap-8601	289	23	0	0	NUM
ap-8601	289	24	,	,	PUNCT
ap-8601	289	25	r∗	r∗	NOUN
ap-8601	289	26	0	0	NUM
ap-8601	289	27	→	→	SYM
ap-8601	289	28	0	0	NUM
ap-8601	289	29	,	,	PUNCT
ap-8601	289	30	c∗	c∗	NOUN
ap-8601	289	31	→	→	SYM
ap-8601	289	32	0	0	NUM
ap-8601	289	33	)	)	PUNCT
ap-8601	289	34	,	,	PUNCT
ap-8601	289	35	the	the	DET
ap-8601	289	36	results	result	NOUN
ap-8601	289	37	are	be	AUX
ap-8601	289	38	obtained	obtain	VERB
ap-8601	289	39	,	,	PUNCT
ap-8601	289	40	as	as	SCONJ
ap-8601	289	41	was	be	AUX
ap-8601	289	42	also	also	ADV
ap-8601	289	43	in	in	ADP
ap-8601	289	44	the	the	DET
ap-8601	289	45	case	case	NOUN
ap-8601	289	46	of	of	ADP
ap-8601	289	47	lin	lin	PROPN
ap-8601	290	1	[	[	X
ap-8601	290	2	8	8	NUM
ap-8601	290	3	]	]	PUNCT
ap-8601	290	4	.	.	PUNCT
ap-8601	291	1	also	also	ADV
ap-8601	291	2	,	,	PUNCT
ap-8601	291	3	one	one	PRON
ap-8601	291	4	can	can	AUX
ap-8601	291	5	obtain	obtain	VERB
ap-8601	291	6	the	the	DET
ap-8601	291	7	corresponding	corresponding	ADJ
ap-8601	291	8	cases	case	NOUN
ap-8601	291	9	from	from	ADP
ap-8601	291	10	the	the	DET
ap-8601	291	11	specific	specific	ADJ
ap-8601	291	12	values	value	NOUN
ap-8601	291	13	of	of	ADP
ap-8601	291	14	the	the	DET
ap-8601	291	15	parameters	parameter	NOUN
ap-8601	291	16	.	.	PUNCT
ap-8601	292	1	•	•	NUM
ap-8601	292	2	h∗	h∗	PROPN
ap-8601	292	3	0	0	NUM
ap-8601	293	1	=	=	PUNCT
ap-8601	293	2	r∗	r∗	NOUN
ap-8601	293	3	0	0	NUM
ap-8601	294	1	=	=	SYM
ap-8601	294	2	0	0	NUM
ap-8601	294	3	:	:	PUNCT
ap-8601	294	4	the	the	DET
ap-8601	294	5	non	non	ADJ
ap-8601	294	6	-	-	ADJ
ap-8601	294	7	porous	porous	ADJ
ap-8601	294	8	case	case	NOUN
ap-8601	294	9	;	;	PUNCT
ap-8601	294	10	•	•	NUM
ap-8601	294	11	c∗	c∗	NOUN
ap-8601	294	12	=	=	SYM
ap-8601	294	13	0	0	NUM
ap-8601	294	14	:	:	PUNCT
ap-8601	294	15	smooth	smooth	ADJ
ap-8601	294	16	surface	surface	NOUN
ap-8601	294	17	;	;	PUNCT
ap-8601	294	18	•	•	NUM
ap-8601	294	19	ω	ω	X
ap-8601	294	20	=	=	SYM
ap-8601	294	21	0	0	NUM
ap-8601	294	22	:	:	PUNCT
ap-8601	294	23	the	the	DET
ap-8601	294	24	nf	nf	NOUN
ap-8601	294	25	case	case	NOUN
ap-8601	294	26	;	;	PUNCT
ap-8601	294	27	and	and	CCONJ
ap-8601	294	28	some	some	DET
ap-8601	294	29	representative	representative	ADJ
ap-8601	294	30	values	value	NOUN
ap-8601	294	31	being	be	AUX
ap-8601	294	32	used	use	VERB
ap-8601	294	33	for	for	ADP
ap-8601	294	34	rf	rf	NOUN
ap-8601	294	35	,	,	PUNCT
ap-8601	294	36	porosity	porosity	NOUN
ap-8601	294	37	,	,	PUNCT
ap-8601	294	38	and	and	CCONJ
ap-8601	294	39	sr	sr	PROPN
ap-8601	294	40	can	can	AUX
ap-8601	294	41	be	be	AUX
ap-8601	294	42	observed	observe	VERB
ap-8601	294	43	in	in	ADP
ap-8601	294	44	many	many	ADJ
ap-8601	294	45	articles	article	NOUN
ap-8601	294	46	such	such	ADJ
ap-8601	294	47	as	as	ADP
ap-8601	294	48	lin	lin	PROPN
ap-8601	294	49	[	[	X
ap-8601	294	50	8	8	NUM
ap-8601	294	51	]	]	PUNCT
ap-8601	294	52	,	,	PUNCT
ap-8601	294	53	walicka	walicka	PRON
ap-8601	294	54	et	et	NOUN
ap-8601	294	55	al	al	PROPN
ap-8601	294	56	.	.	PUNCT
ap-8601	295	1	[	[	X
ap-8601	295	2	32	32	NUM
ap-8601	295	3	]	]	PUNCT
ap-8601	295	4	,	,	PUNCT
ap-8601	295	5	and	and	CCONJ
ap-8601	295	6	siddangouda	siddangouda	NOUN
ap-8601	295	7	et	et	PROPN
ap-8601	295	8	al	al	PROPN
ap-8601	295	9	.	.	PUNCT
ap-8601	296	1	[	[	X
ap-8601	296	2	9	9	NUM
ap-8601	296	3	]	]	PUNCT
ap-8601	296	4	.	.	PUNCT
ap-8601	297	1	ω	ω	NOUN
ap-8601	297	2	=	=	SYM
ap-8601	298	1	0.0	0.0	NUM
ap-8601	298	2	hnewtonianl	hnewtonianl	PROPN
ap-8601	298	3	ω	ω	PROPN
ap-8601	298	4	=	=	PROPN
ap-8601	298	5	0.0002	0.0002	NUM
ap-8601	298	6	ω	ω	NUM
ap-8601	298	7	=	=	NOUN
ap-8601	298	8	-0.0002	-0.0002	NOUN
ap-8601	298	9	c	c	X
ap-8601	298	10	*	*	PUNCT
ap-8601	298	11	=	=	NOUN
ap-8601	298	12	0.2	0.2	NUM
ap-8601	298	13	hgreen	hgreen	ADJ
ap-8601	298	14	,	,	PUNCT
ap-8601	298	15	azimuthall	azimuthall	ADV
ap-8601	298	16	c	c	AUX
ap-8601	298	17	*	*	PUNCT
ap-8601	298	18	=	=	NOUN
ap-8601	298	19	0.2	0.2	NUM
ap-8601	298	20	hblue	hblue	NOUN
ap-8601	298	21	,	,	PUNCT
ap-8601	298	22	radiall	radiall	NOUN
ap-8601	298	23	c	c	NOUN
ap-8601	298	24	*	*	PUNCT
ap-8601	298	25	=	=	SYM
ap-8601	298	26	h0	h0	NOUN
ap-8601	298	27	*	*	PUNCT
ap-8601	299	1	=	=	PUNCT
ap-8601	299	2	r0	r0	NOUN
ap-8601	299	3	*	*	PUNCT
ap-8601	299	4	=	=	SYM
ap-8601	299	5	0	0	NUM
ap-8601	299	6	hredl	hredl	PROPN
ap-8601	299	7	lin@8d	lin@8d	NOUN
ap-8601	299	8	green	green	ADJ
ap-8601	299	9	,	,	PUNCT
ap-8601	299	10	red	red	ADJ
ap-8601	299	11	,	,	PUNCT
ap-8601	299	12	blue	blue	ADJ
ap-8601	299	13	0.4	0.4	NUM
ap-8601	299	14	0.5	0.5	NUM
ap-8601	299	15	0.6	0.6	NUM
ap-8601	299	16	0.7	0.7	NUM
ap-8601	299	17	0.8	0.8	NUM
ap-8601	299	18	0.9	0.9	NUM
ap-8601	299	19	1.0	1.0	NUM
ap-8601	299	20	0	0	NUM
ap-8601	299	21	5	5	NUM
ap-8601	299	22	10	10	NUM
ap-8601	299	23	15	15	NUM
ap-8601	299	24	20	20	NUM
ap-8601	299	25	25	25	NUM
ap-8601	299	26	r	r	NOUN
ap-8601	299	27	*	*	PUNCT
ap-8601	299	28	p	p	NOUN
ap-8601	299	29	*	*	PUNCT
ap-8601	299	30	figure	figure	NOUN
ap-8601	299	31	3	3	NUM
ap-8601	299	32	.	.	PUNCT
ap-8601	299	33	variations	variation	NOUN
ap-8601	299	34	in	in	ADP
ap-8601	299	35	fp	fp	X
ap-8601	299	36	(	(	PUNCT
ap-8601	299	37	p	p	NOUN
ap-8601	299	38	∗	∗	NOUN
ap-8601	299	39	)	)	PUNCT
ap-8601	299	40	with	with	ADP
ap-8601	299	41	a	a	DET
ap-8601	299	42	coordinate	coordinate	NOUN
ap-8601	299	43	axis	axis	NOUN
ap-8601	299	44	(	(	PUNCT
ap-8601	299	45	r∗	r∗	PROPN
ap-8601	299	46	)	)	PUNCT
ap-8601	299	47	for	for	ADP
ap-8601	299	48	different	different	ADJ
ap-8601	299	49	values	value	NOUN
ap-8601	299	50	of	of	ADP
ap-8601	299	51	ω	ω	PROPN
ap-8601	299	52	and	and	CCONJ
ap-8601	299	53	c∗	c∗	NOUN
ap-8601	299	54	with	with	ADP
ap-8601	299	55	ω	ω	PROPN
ap-8601	299	56	=	=	SYM
ap-8601	299	57	0.4	0.4	NUM
ap-8601	299	58	,	,	PUNCT
ap-8601	299	59	h∗	h∗	PROPN
ap-8601	299	60	=	=	NOUN
ap-8601	299	61	0.3	0.3	NUM
ap-8601	299	62	and	and	CCONJ
ap-8601	299	63	h∗	h∗	PROPN
ap-8601	299	64	0	0	NUM
ap-8601	299	65	=	=	SYM
ap-8601	299	66	0.1	0.1	NUM
ap-8601	299	67	and	and	CCONJ
ap-8601	299	68	r∗	r∗	VERB
ap-8601	299	69	0	0	NUM
ap-8601	300	1	=	=	SYM
ap-8601	300	2	0.1	0.1	NUM
ap-8601	300	3	.	.	PUNCT
ap-8601	301	1	radial	radial	ADJ
ap-8601	301	2	roughness	roughness	NOUN
ap-8601	301	3	h0	h0	NOUN
ap-8601	301	4	*	*	PUNCT
ap-8601	302	1	=	=	PUNCT
ap-8601	302	2	r0	r0	NOUN
ap-8601	302	3	*	*	PUNCT
ap-8601	303	1	=	=	SYM
ap-8601	303	2	0.0	0.0	NUM
ap-8601	303	3	hbluel	hbluel	NOUN
ap-8601	303	4	hnon	hnon	NOUN
ap-8601	303	5	porousl	porousl	PROPN
ap-8601	303	6	h0	h0	PROPN
ap-8601	303	7	*	*	PUNCT
ap-8601	303	8	=	=	PUNCT
ap-8601	303	9	r0	r0	NOUN
ap-8601	303	10	*	*	PUNCT
ap-8601	304	1	=	=	PUNCT
ap-8601	304	2	0.15	0.15	NUM
ap-8601	304	3	hmagental	hmagental	ADJ
ap-8601	304	4	h0	h0	NOUN
ap-8601	304	5	*	*	PUNCT
ap-8601	305	1	=	=	PUNCT
ap-8601	305	2	r0	r0	NOUN
ap-8601	305	3	*	*	PUNCT
ap-8601	306	1	=	=	SYM
ap-8601	306	2	0.0	0.0	NUM
ap-8601	306	3	hredl	hredl	PROPN
ap-8601	306	4	hnon	hnon	NOUN
ap-8601	306	5	porousl	porousl	NOUN
ap-8601	306	6	h0	h0	NOUN
ap-8601	306	7	*	*	PUNCT
ap-8601	306	8	=	=	PUNCT
ap-8601	306	9	r0	r0	NOUN
ap-8601	306	10	*	*	PUNCT
ap-8601	307	1	=	=	PUNCT
ap-8601	307	2	0.15	0.15	NUM
ap-8601	307	3	hgreenl	hgreenl	NOUN
ap-8601	307	4	azimuthal	azimuthal	NOUN
ap-8601	307	5	roughness	roughness	NOUN
ap-8601	307	6	ω	ω	NOUN
ap-8601	307	7	=	=	SYM
ap-8601	307	8	0.0	0.0	NUM
ap-8601	307	9	hnewtonianl	hnewtonianl	PROPN
ap-8601	307	10	ω	ω	PROPN
ap-8601	307	11	=	=	PROPN
ap-8601	307	12	0.0002	0.0002	NUM
ap-8601	307	13	ω	ω	NUM
ap-8601	307	14	=	=	SYM
ap-8601	307	15	-0.0002	-0.0002	NOUN
ap-8601	307	16	red	red	ADJ
ap-8601	307	17	,	,	PUNCT
ap-8601	307	18	blue	blue	ADJ
ap-8601	307	19	,	,	PUNCT
ap-8601	307	20	green	green	ADJ
ap-8601	307	21	,	,	PUNCT
ap-8601	307	22	magenta	magenta	NOUN
ap-8601	307	23	w	w	NOUN
ap-8601	307	24	=	=	NOUN
ap-8601	308	1	0.4	0.4	NUM
ap-8601	308	2	0.20	0.20	NUM
ap-8601	308	3	0.25	0.25	NUM
ap-8601	308	4	0.30	0.30	NUM
ap-8601	308	5	0.35	0.35	NUM
ap-8601	308	6	0.40	0.40	NUM
ap-8601	308	7	0.45	0.45	NUM
ap-8601	308	8	0.50	0.50	NUM
ap-8601	308	9	0	0	NUM
ap-8601	308	10	50	50	NUM
ap-8601	308	11	100	100	NUM
ap-8601	308	12	150	150	NUM
ap-8601	308	13	h	h	NOUN
ap-8601	308	14	*	*	PROPN
ap-8601	308	15	w	w	PROPN
ap-8601	308	16	*	*	PUNCT
ap-8601	308	17	figure	figure	NOUN
ap-8601	308	18	4	4	NUM
ap-8601	308	19	.	.	PUNCT
ap-8601	309	1	variations	variation	NOUN
ap-8601	309	2	in	in	ADP
ap-8601	309	3	lcc	lcc	PROPN
ap-8601	309	4	(	(	PUNCT
ap-8601	309	5	w	w	NOUN
ap-8601	309	6	∗	∗	NOUN
ap-8601	309	7	)	)	PUNCT
ap-8601	309	8	with	with	ADP
ap-8601	309	9	h∗	h∗	PROPN
ap-8601	309	10	for	for	ADP
ap-8601	309	11	different	different	ADJ
ap-8601	309	12	values	value	NOUN
ap-8601	309	13	of	of	ADP
ap-8601	309	14	ω	ω	PROPN
ap-8601	309	15	,	,	PUNCT
ap-8601	309	16	h∗	h∗	PROPN
ap-8601	309	17	0	0	PUNCT
ap-8601	309	18	and	and	CCONJ
ap-8601	309	19	r∗	r∗	VERB
ap-8601	309	20	0	0	NUM
ap-8601	309	21	with	with	ADP
ap-8601	309	22	c∗	c∗	PROPN
ap-8601	309	23	=	=	PROPN
ap-8601	309	24	0.1	0.1	NUM
ap-8601	309	25	and	and	CCONJ
ap-8601	309	26	ω	ω	NUM
ap-8601	309	27	=	=	SYM
ap-8601	309	28	0.4	0.4	NUM
ap-8601	309	29	.	.	PUNCT
ap-8601	310	1	in	in	ADP
ap-8601	310	2	addition	addition	NOUN
ap-8601	310	3	,	,	PUNCT
ap-8601	310	4	the	the	DET
ap-8601	310	5	following	follow	VERB
ap-8601	310	6	set	set	NOUN
ap-8601	310	7	of	of	ADP
ap-8601	310	8	parameters	parameter	NOUN
ap-8601	310	9	is	be	AUX
ap-8601	310	10	used	use	VERB
ap-8601	310	11	when	when	SCONJ
ap-8601	310	12	performing	perform	VERB
ap-8601	310	13	numerical	numerical	ADJ
ap-8601	310	14	calculations	calculation	NOUN
ap-8601	310	15	:	:	PUNCT
ap-8601	310	16	rf	rf	NUM
ap-8601	310	17	nonlinear	nonlinear	ADJ
ap-8601	310	18	parameter	parameter	NOUN
ap-8601	310	19	:	:	PUNCT
ap-8601	310	20	ω	ω	PROPN
ap-8601	310	21	∈	∈	PROPN
ap-8601	311	1	[	[	X
ap-8601	311	2	−0.0002	−0.0002	NOUN
ap-8601	311	3	,	,	PUNCT
ap-8601	311	4	0.0002	0.0002	NUM
ap-8601	311	5	]	]	PUNCT
ap-8601	311	6	,	,	PUNCT
ap-8601	311	7	roughness	roughness	NOUN
ap-8601	311	8	parameter	parameter	NOUN
ap-8601	311	9	:	:	PUNCT
ap-8601	311	10	c∗	c∗	PROPN
ap-8601	311	11	=	=	SYM
ap-8601	311	12	0	0	NUM
ap-8601	311	13	,	,	PUNCT
ap-8601	311	14	0.1	0.1	NUM
ap-8601	311	15	,	,	PUNCT
ap-8601	311	16	0.2	0.2	NUM
ap-8601	311	17	,	,	PUNCT
ap-8601	311	18	0.3	0.3	NUM
ap-8601	311	19	,	,	PUNCT
ap-8601	311	20	0.4	0.4	NUM
ap-8601	311	21	relative	relative	ADJ
ap-8601	311	22	porous	porous	ADJ
ap-8601	311	23	parameter	parameter	NOUN
ap-8601	311	24	:	:	PUNCT
ap-8601	311	25	h∗	h∗	NOUN
ap-8601	311	26	0	0	NUM
ap-8601	312	1	=	=	SYM
ap-8601	312	2	0.0	0.0	NUM
ap-8601	312	3	,	,	PUNCT
ap-8601	312	4	0.1	0.1	NUM
ap-8601	312	5	,	,	PUNCT
ap-8601	312	6	0.2	0.2	NUM
ap-8601	312	7	and	and	CCONJ
ap-8601	312	8	r∗	r∗	VERB
ap-8601	312	9	=	=	PUNCT
ap-8601	312	10	0.0	0.0	NUM
ap-8601	312	11	,	,	PUNCT
ap-8601	312	12	0.1	0.1	NUM
ap-8601	312	13	,	,	PUNCT
ap-8601	312	14	0.2	0.2	NUM
ap-8601	312	15	.	.	PUNCT
ap-8601	313	1	in	in	ADP
ap-8601	313	2	this	this	DET
ap-8601	313	3	section	section	NOUN
ap-8601	313	4	,	,	PUNCT
ap-8601	313	5	the	the	DET
ap-8601	313	6	solid	solid	ADJ
ap-8601	313	7	lines	line	NOUN
ap-8601	313	8	demonstrate	demonstrate	VERB
ap-8601	313	9	the	the	DET
ap-8601	313	10	dilatant	dilatant	PROPN
ap-8601	313	11	fluids	fluid	NOUN
ap-8601	313	12	,	,	PUNCT
ap-8601	313	13	dot	dot	NOUN
ap-8601	313	14	-	-	PUNCT
ap-8601	313	15	dashed	dash	VERB
ap-8601	313	16	lines	line	NOUN
ap-8601	313	17	represent	represent	VERB
ap-8601	313	18	the	the	DET
ap-8601	313	19	pseudoplastic	pseudoplastic	ADJ
ap-8601	313	20	fluids	fluid	NOUN
ap-8601	313	21	,	,	PUNCT
ap-8601	313	22	and	and	CCONJ
ap-8601	313	23	the	the	DET
ap-8601	313	24	solid	solid	ADJ
ap-8601	313	25	lines	line	NOUN
ap-8601	313	26	with	with	ADP
ap-8601	313	27	a	a	DET
ap-8601	313	28	solid	solid	ADJ
ap-8601	313	29	circle	circle	NOUN
ap-8601	313	30	marker	marker	NOUN
ap-8601	313	31	represent	represent	VERB
ap-8601	313	32	the	the	DET
ap-8601	313	33	newtonian	newtonian	ADJ
ap-8601	313	34	fluids	fluid	NOUN
ap-8601	313	35	.	.	PUNCT
ap-8601	314	1	figure	figure	NOUN
ap-8601	314	2	2	2	NUM
ap-8601	314	3	describes	describe	VERB
ap-8601	314	4	how	how	SCONJ
ap-8601	314	5	the	the	DET
ap-8601	314	6	fp	fp	ADJ
ap-8601	314	7	distribution	distribution	NOUN
ap-8601	314	8	over	over	ADP
ap-8601	314	9	the	the	DET
ap-8601	314	10	porous	porous	ADJ
ap-8601	314	11	hydrodynamic	hydrodynamic	ADJ
ap-8601	314	12	annular	annular	ADJ
ap-8601	314	13	discs	disc	NOUN
ap-8601	314	14	varies	vary	VERB
ap-8601	314	15	along	along	ADP
ap-8601	314	16	with	with	ADP
ap-8601	314	17	different	different	ADJ
ap-8601	314	18	r∗	r∗	ADJ
ap-8601	314	19	values	value	NOUN
ap-8601	314	20	of	of	ADP
ap-8601	314	21	the	the	DET
ap-8601	314	22	porous	porous	ADJ
ap-8601	314	23	and	and	CCONJ
ap-8601	314	24	rf	rf	ADJ
ap-8601	314	25	parameters	parameter	NOUN
ap-8601	314	26	under	under	ADP
ap-8601	314	27	fixed	fix	VERB
ap-8601	314	28	ω	ω	PROPN
ap-8601	314	29	=	=	SYM
ap-8601	314	30	0.4	0.4	NUM
ap-8601	314	31	,	,	PUNCT
ap-8601	314	32	h∗	h∗	PROPN
ap-8601	314	33	=	=	NOUN
ap-8601	314	34	0.3	0.3	NUM
ap-8601	314	35	and	and	CCONJ
ap-8601	314	36	c∗	c∗	PROPN
ap-8601	314	37	=	=	ADJ
ap-8601	314	38	0.1	0.1	NUM
ap-8601	314	39	.	.	PUNCT
ap-8601	315	1	it	it	PRON
ap-8601	315	2	is	be	AUX
ap-8601	315	3	observed	observe	VERB
ap-8601	315	4	that	that	SCONJ
ap-8601	315	5	fp	fp	PROPN
ap-8601	315	6	decreases	decrease	VERB
ap-8601	315	7	with	with	ADP
ap-8601	315	8	respect	respect	NOUN
ap-8601	315	9	to	to	ADP
ap-8601	315	10	increasing	increase	VERB
ap-8601	315	11	porosity	porosity	NOUN
ap-8601	315	12	,	,	PUNCT
ap-8601	315	13	which	which	PRON
ap-8601	315	14	is	be	AUX
ap-8601	315	15	a	a	DET
ap-8601	315	16	similar	similar	ADJ
ap-8601	315	17	trend	trend	NOUN
ap-8601	315	18	to	to	ADP
ap-8601	315	19	that	that	PRON
ap-8601	315	20	observed	observe	VERB
ap-8601	315	21	by	by	ADP
ap-8601	315	22	lin	lin	PROPN
ap-8601	316	1	[	[	X
ap-8601	316	2	8	8	NUM
ap-8601	316	3	]	]	PUNCT
ap-8601	316	4	.	.	PUNCT
ap-8601	317	1	in	in	ADP
ap-8601	317	2	addition	addition	NOUN
ap-8601	317	3	,	,	PUNCT
ap-8601	317	4	the	the	DET
ap-8601	317	5	effect	effect	NOUN
ap-8601	317	6	of	of	ADP
ap-8601	317	7	rf	rf	NOUN
ap-8601	317	8	on	on	ADP
ap-8601	317	9	porous	porous	ADJ
ap-8601	317	10	wall	wall	NOUN
ap-8601	317	11	increases	increase	VERB
ap-8601	317	12	the	the	DET
ap-8601	317	13	fp	fp	NOUN
ap-8601	317	14	for	for	ADP
ap-8601	317	15	dilatant	dilatant	ADJ
ap-8601	317	16	fluids	fluid	NOUN
ap-8601	317	17	whereas	whereas	SCONJ
ap-8601	317	18	pseudoplastic	pseudoplastic	ADJ
ap-8601	317	19	fluids	fluid	NOUN
ap-8601	317	20	behaviour	behaviour	NOUN
ap-8601	317	21	shows	show	VERB
ap-8601	317	22	a	a	DET
ap-8601	317	23	reverse	reverse	ADJ
ap-8601	317	24	trend	trend	NOUN
ap-8601	317	25	as	as	SCONJ
ap-8601	317	26	compared	compare	VERB
ap-8601	317	27	to	to	AUX
ap-8601	317	28	nf	nf	INTJ
ap-8601	317	29	.	.	PUNCT
ap-8601	318	1	figure	figure	NOUN
ap-8601	318	2	3	3	NUM
ap-8601	318	3	shows	show	VERB
ap-8601	318	4	the	the	DET
ap-8601	318	5	effect	effect	NOUN
ap-8601	318	6	of	of	ADP
ap-8601	318	7	squeeze	squeeze	NOUN
ap-8601	318	8	fp	fp	X
ap-8601	318	9	(	(	PUNCT
ap-8601	318	10	p	p	NOUN
ap-8601	318	11	∗	∗	NOUN
ap-8601	318	12	)	)	PUNCT
ap-8601	318	13	along	along	ADP
ap-8601	318	14	with	with	ADP
ap-8601	318	15	the	the	DET
ap-8601	318	16	coordinate	coordinate	NOUN
ap-8601	318	17	axis	axis	NOUN
ap-8601	318	18	(	(	PUNCT
ap-8601	318	19	r∗	r∗	PROPN
ap-8601	318	20	)	)	PUNCT
ap-8601	318	21	for	for	ADP
ap-8601	318	22	different	different	ADJ
ap-8601	318	23	values	value	NOUN
ap-8601	318	24	of	of	ADP
ap-8601	318	25	ω	ω	PROPN
ap-8601	318	26	and	and	CCONJ
ap-8601	318	27	c∗	c∗	NOUN
ap-8601	318	28	with	with	ADP
ap-8601	318	29	ω	ω	PROPN
ap-8601	318	30	=	=	SYM
ap-8601	318	31	0.4	0.4	NUM
ap-8601	318	32	,	,	PUNCT
ap-8601	318	33	h∗	h∗	PROPN
ap-8601	318	34	=	=	NOUN
ap-8601	318	35	0.3	0.3	NUM
ap-8601	318	36	,	,	PUNCT
ap-8601	318	37	h∗	h∗	NOUN
ap-8601	318	38	0	0	NUM
ap-8601	319	1	=	=	SYM
ap-8601	319	2	0.1	0.1	NUM
ap-8601	319	3	and	and	CCONJ
ap-8601	319	4	r∗	r∗	VERB
ap-8601	319	5	=	=	NOUN
ap-8601	319	6	0.1	0.1	NUM
ap-8601	319	7	.	.	PUNCT
ap-8601	320	1	it	it	PRON
ap-8601	320	2	is	be	AUX
ap-8601	320	3	shown	show	VERB
ap-8601	320	4	that	that	SCONJ
ap-8601	320	5	fp	fp	PROPN
ap-8601	320	6	decreases	decrease	NOUN
ap-8601	320	7	with	with	ADP
ap-8601	320	8	c∗	c∗	NOUN
ap-8601	320	9	for	for	ADP
ap-8601	320	10	both	both	DET
ap-8601	320	11	types	type	NOUN
ap-8601	320	12	of	of	ADP
ap-8601	320	13	roughness	roughness	NOUN
ap-8601	320	14	and	and	CCONJ
ap-8601	320	15	finds	find	VERB
ap-8601	320	16	a	a	DET
ap-8601	320	17	similar	similar	ADJ
ap-8601	320	18	trend	trend	NOUN
ap-8601	320	19	for	for	ADP
ap-8601	320	20	rf	rf	VERB
ap-8601	320	21	with	with	ADP
ap-8601	320	22	the	the	DET
ap-8601	320	23	smooth	smooth	ADJ
ap-8601	320	24	surface	surface	NOUN
ap-8601	320	25	case	case	NOUN
ap-8601	320	26	of	of	ADP
ap-8601	320	27	lin	lin	PROPN
ap-8601	321	1	[	[	X
ap-8601	321	2	8	8	NUM
ap-8601	321	3	]	]	PUNCT
ap-8601	321	4	.	.	PUNCT
ap-8601	322	1	figures	figure	NOUN
ap-8601	322	2	4	4	NUM
ap-8601	322	3	and	and	CCONJ
ap-8601	322	4	5	5	NUM
ap-8601	322	5	illustrate	illustrate	VERB
ap-8601	322	6	the	the	DET
ap-8601	322	7	variation	variation	NOUN
ap-8601	322	8	of	of	ADP
ap-8601	322	9	lcc	lcc	PROPN
ap-8601	322	10	446	446	NUM
ap-8601	322	11	vol	vol	NOUN
ap-8601	322	12	.	.	PUNCT
ap-8601	323	1	63	63	NUM
ap-8601	323	2	no	no	NOUN
ap-8601	323	3	.	.	PUNCT
ap-8601	324	1	6/2023	6/2023	NUM
ap-8601	324	2	squeeze	squeeze	NOUN
ap-8601	324	3	film	film	NOUN
ap-8601	324	4	lubrication	lubrication	NOUN
ap-8601	324	5	between	between	ADP
ap-8601	324	6	rough	rough	ADJ
ap-8601	324	7	porous	porous	ADJ
ap-8601	324	8	annular	annular	ADJ
ap-8601	324	9	discs	disc	NOUN
ap-8601	324	10	c	c	NOUN
ap-8601	324	11	*	*	PUNCT
ap-8601	324	12	=	=	SYM
ap-8601	324	13	0.0	0.0	NUM
ap-8601	324	14	hbluel	hbluel	NOUN
ap-8601	324	15	smooth	smooth	NOUN
ap-8601	325	1	c	c	NOUN
ap-8601	325	2	*	*	PUNCT
ap-8601	325	3	=	=	SYM
ap-8601	325	4	0.2	0.2	NUM
ap-8601	325	5	hgreenl	hgreenl	NOUN
ap-8601	325	6	azmuthal	azmuthal	VERB
ap-8601	325	7	roughness	roughness	NOUN
ap-8601	325	8	c	c	NOUN
ap-8601	325	9	*	*	PUNCT
ap-8601	325	10	=	=	SYM
ap-8601	325	11	0.2	0.2	NUM
ap-8601	325	12	hmagental	hmagental	ADJ
ap-8601	325	13	radial	radial	ADJ
ap-8601	325	14	roughness	roughness	NOUN
ap-8601	325	15	ω	ω	NOUN
ap-8601	325	16	=	=	SYM
ap-8601	325	17	-0.0002	-0.0002	PROPN
ap-8601	325	18	ω	ω	NOUN
ap-8601	326	1	=	=	SYM
ap-8601	326	2	0.0	0.0	NUM
ap-8601	326	3	hnewtonianl	hnewtonianl	PROPN
ap-8601	326	4	ω	ω	PROPN
ap-8601	326	5	=	=	PROPN
ap-8601	327	1	0.0002	0.0002	NUM
ap-8601	327	2	green	green	ADJ
ap-8601	327	3	,	,	PUNCT
ap-8601	327	4	blue	blue	ADJ
ap-8601	327	5	,	,	PUNCT
ap-8601	327	6	magenta	magenta	NOUN
ap-8601	327	7	w	w	NOUN
ap-8601	327	8	=	=	NOUN
ap-8601	327	9	0.4	0.4	NUM
ap-8601	327	10	0.20	0.20	NUM
ap-8601	327	11	0.25	0.25	NUM
ap-8601	327	12	0.30	0.30	NUM
ap-8601	327	13	0.35	0.35	NUM
ap-8601	327	14	0.40	0.40	NUM
ap-8601	327	15	0.45	0.45	NUM
ap-8601	327	16	0.50	0.50	NUM
ap-8601	327	17	0	0	NUM
ap-8601	327	18	50	50	NUM
ap-8601	327	19	100	100	NUM
ap-8601	327	20	150	150	NUM
ap-8601	327	21	h	h	NOUN
ap-8601	327	22	*	*	PROPN
ap-8601	327	23	w	w	PROPN
ap-8601	327	24	*	*	PUNCT
ap-8601	327	25	figure	figure	NOUN
ap-8601	327	26	5	5	NUM
ap-8601	327	27	.	.	PUNCT
ap-8601	327	28	variations	variation	NOUN
ap-8601	327	29	in	in	ADP
ap-8601	327	30	lcc	lcc	PROPN
ap-8601	327	31	(	(	PUNCT
ap-8601	327	32	w	w	NOUN
ap-8601	327	33	∗	∗	NOUN
ap-8601	327	34	)	)	PUNCT
ap-8601	327	35	with	with	ADP
ap-8601	327	36	h∗	h∗	PROPN
ap-8601	327	37	for	for	ADP
ap-8601	327	38	different	different	ADJ
ap-8601	327	39	values	value	NOUN
ap-8601	327	40	of	of	ADP
ap-8601	327	41	ω	ω	PROPN
ap-8601	327	42	and	and	CCONJ
ap-8601	327	43	c∗	c∗	PROPN
ap-8601	327	44	with	with	ADP
ap-8601	327	45	h∗	h∗	PROPN
ap-8601	327	46	0	0	NUM
ap-8601	327	47	=	=	PUNCT
ap-8601	327	48	r∗	r∗	NOUN
ap-8601	327	49	0	0	NUM
ap-8601	328	1	=	=	SYM
ap-8601	328	2	0.1	0.1	NUM
ap-8601	328	3	and	and	CCONJ
ap-8601	328	4	ω	ω	NUM
ap-8601	328	5	=	=	SYM
ap-8601	328	6	0.4	0.4	NUM
ap-8601	328	7	.	.	PUNCT
ap-8601	329	1	azimuthal	azimuthal	NOUN
ap-8601	329	2	roughness	roughness	NOUN
ap-8601	329	3	h0	h0	NOUN
ap-8601	329	4	*	*	PUNCT
ap-8601	330	1	=	=	PUNCT
ap-8601	330	2	r0	r0	NOUN
ap-8601	330	3	*	*	PUNCT
ap-8601	331	1	=	=	SYM
ap-8601	331	2	0.0	0.0	NUM
ap-8601	331	3	hredl	hredl	PROPN
ap-8601	331	4	hnon	hnon	NOUN
ap-8601	331	5	porousl	porousl	NOUN
ap-8601	331	6	h0	h0	NOUN
ap-8601	331	7	*	*	PUNCT
ap-8601	331	8	=	=	PUNCT
ap-8601	331	9	r0	r0	NOUN
ap-8601	331	10	*	*	PUNCT
ap-8601	332	1	=	=	PUNCT
ap-8601	332	2	0.15	0.15	NUM
ap-8601	332	3	hgreenl	hgreenl	NOUN
ap-8601	332	4	radial	radial	ADJ
ap-8601	332	5	roughness	roughness	NOUN
ap-8601	332	6	h0	h0	NOUN
ap-8601	332	7	*	*	PUNCT
ap-8601	333	1	=	=	PUNCT
ap-8601	333	2	r0	r0	NOUN
ap-8601	333	3	*	*	PUNCT
ap-8601	334	1	=	=	SYM
ap-8601	334	2	0.0	0.0	NUM
ap-8601	334	3	hbluel	hbluel	NOUN
ap-8601	334	4	hnon	hnon	NOUN
ap-8601	334	5	porousl	porousl	PROPN
ap-8601	334	6	h0	h0	PROPN
ap-8601	334	7	*	*	PUNCT
ap-8601	334	8	=	=	PUNCT
ap-8601	334	9	r0	r0	NOUN
ap-8601	334	10	*	*	PUNCT
ap-8601	335	1	=	=	PUNCT
ap-8601	335	2	0.15	0.15	NUM
ap-8601	335	3	hmagental	hmagental	ADJ
ap-8601	335	4	ω	ω	NOUN
ap-8601	335	5	=	=	SYM
ap-8601	335	6	0.0	0.0	NUM
ap-8601	335	7	hnewtonianl	hnewtonianl	PROPN
ap-8601	335	8	ω	ω	PROPN
ap-8601	335	9	=	=	PROPN
ap-8601	335	10	0.0002	0.0002	NUM
ap-8601	335	11	ω	ω	NUM
ap-8601	335	12	=	=	SYM
ap-8601	335	13	-0.0002	-0.0002	NOUN
ap-8601	335	14	red	red	ADJ
ap-8601	335	15	,	,	PUNCT
ap-8601	335	16	blue	blue	ADJ
ap-8601	335	17	,	,	PUNCT
ap-8601	335	18	green	green	ADJ
ap-8601	335	19	,	,	PUNCT
ap-8601	335	20	magenta	magenta	NOUN
ap-8601	335	21	w	w	NOUN
ap-8601	335	22	=	=	NOUN
ap-8601	335	23	0.4	0.4	NUM
ap-8601	335	24	0.20	0.20	NUM
ap-8601	335	25	0.25	0.25	NUM
ap-8601	335	26	0.30	0.30	NUM
ap-8601	335	27	0.35	0.35	NUM
ap-8601	335	28	0.40	0.40	NUM
ap-8601	335	29	0.45	0.45	NUM
ap-8601	335	30	0.50	0.50	NUM
ap-8601	335	31	0	0	NUM
ap-8601	335	32	20	20	NUM
ap-8601	335	33	40	40	NUM
ap-8601	335	34	60	60	NUM
ap-8601	335	35	80	80	NUM
ap-8601	335	36	100	100	NUM
ap-8601	335	37	120	120	NUM
ap-8601	335	38	140	140	NUM
ap-8601	335	39	h	h	PROPN
ap-8601	335	40	*	*	PROPN
ap-8601	335	41	t	t	PROPN
ap-8601	335	42	*	*	NOUN
ap-8601	335	43	figure	figure	NOUN
ap-8601	335	44	6	6	NUM
ap-8601	335	45	.	.	PUNCT
ap-8601	336	1	variations	variation	NOUN
ap-8601	336	2	in	in	ADP
ap-8601	336	3	srt	srt	NOUN
ap-8601	336	4	(	(	PUNCT
ap-8601	336	5	t∗	t∗	PROPN
ap-8601	336	6	)	)	PUNCT
ap-8601	336	7	with	with	ADP
ap-8601	336	8	h∗	h∗	PROPN
ap-8601	336	9	for	for	ADP
ap-8601	336	10	different	different	ADJ
ap-8601	336	11	values	value	NOUN
ap-8601	336	12	of	of	ADP
ap-8601	336	13	ω	ω	PROPN
ap-8601	336	14	,	,	PUNCT
ap-8601	336	15	h∗	h∗	PROPN
ap-8601	336	16	0	0	PUNCT
ap-8601	336	17	r∗	r∗	PROPN
ap-8601	336	18	0	0	NUM
ap-8601	336	19	with	with	ADP
ap-8601	336	20	c∗	c∗	PROPN
ap-8601	336	21	=	=	PROPN
ap-8601	336	22	0.1	0.1	NUM
ap-8601	336	23	and	and	CCONJ
ap-8601	336	24	ω	ω	NUM
ap-8601	336	25	=	=	SYM
ap-8601	336	26	0.4	0.4	NUM
ap-8601	336	27	.	.	PUNCT
ap-8601	337	1	(	(	PUNCT
ap-8601	337	2	w	w	NOUN
ap-8601	337	3	∗	∗	NOUN
ap-8601	337	4	)	)	PUNCT
ap-8601	337	5	as	as	ADP
ap-8601	337	6	a	a	DET
ap-8601	337	7	function	function	NOUN
ap-8601	337	8	of	of	ADP
ap-8601	337	9	film	film	NOUN
ap-8601	337	10	thickness	thickness	NOUN
ap-8601	337	11	(	(	PUNCT
ap-8601	337	12	h∗	h∗	PROPN
ap-8601	337	13	)	)	PUNCT
ap-8601	337	14	,	,	PUNCT
ap-8601	337	15	influenced	influence	VERB
ap-8601	337	16	by	by	ADP
ap-8601	337	17	the	the	DET
ap-8601	337	18	presence	presence	NOUN
ap-8601	337	19	of	of	ADP
ap-8601	337	20	porosity	porosity	NOUN
ap-8601	337	21	(	(	PUNCT
ap-8601	337	22	h∗	h∗	NOUN
ap-8601	337	23	0	0	NUM
ap-8601	337	24	and	and	CCONJ
ap-8601	337	25	r∗	r∗	VERB
ap-8601	337	26	0	0	NUM
ap-8601	337	27	)	)	PUNCT
ap-8601	337	28	and	and	CCONJ
ap-8601	337	29	surface	surface	NOUN
ap-8601	337	30	roughness	roughness	NOUN
ap-8601	337	31	(	(	PUNCT
ap-8601	337	32	c∗	c∗	NOUN
ap-8601	337	33	)	)	PUNCT
ap-8601	337	34	between	between	ADP
ap-8601	337	35	annular	annular	ADJ
ap-8601	337	36	discs	disc	NOUN
ap-8601	337	37	.	.	PUNCT
ap-8601	338	1	these	these	DET
ap-8601	338	2	variations	variation	NOUN
ap-8601	338	3	are	be	AUX
ap-8601	338	4	observed	observe	VERB
ap-8601	338	5	using	use	VERB
ap-8601	338	6	the	the	DET
ap-8601	338	7	rabinowitsch	rabinowitsch	ADJ
ap-8601	338	8	fluid	fluid	ADJ
ap-8601	338	9	model	model	NOUN
ap-8601	338	10	parameter	parameter	NOUN
ap-8601	338	11	(	(	PUNCT
ap-8601	338	12	ω	ω	NOUN
ap-8601	338	13	)	)	PUNCT
ap-8601	338	14	,	,	PUNCT
ap-8601	338	15	while	while	SCONJ
ap-8601	338	16	maintaining	maintain	VERB
ap-8601	338	17	a	a	DET
ap-8601	338	18	constant	constant	ADJ
ap-8601	338	19	radius	radius	NOUN
ap-8601	338	20	ratio	ratio	NOUN
ap-8601	338	21	ω	ω	PROPN
ap-8601	338	22	=	=	PROPN
ap-8601	338	23	0.4	0.4	NUM
ap-8601	338	24	.	.	PUNCT
ap-8601	339	1	from	from	ADP
ap-8601	339	2	these	these	DET
ap-8601	339	3	figures	figure	NOUN
ap-8601	339	4	4	4	NUM
ap-8601	339	5	and	and	CCONJ
ap-8601	339	6	5	5	NUM
ap-8601	339	7	,	,	PUNCT
ap-8601	339	8	it	it	PRON
ap-8601	339	9	is	be	AUX
ap-8601	339	10	concluded	conclude	VERB
ap-8601	339	11	that	that	SCONJ
ap-8601	339	12	the	the	DET
ap-8601	339	13	effect	effect	NOUN
ap-8601	339	14	of	of	ADP
ap-8601	339	15	roughness	roughness	NOUN
ap-8601	339	16	plays	play	VERB
ap-8601	339	17	a	a	DET
ap-8601	339	18	vital	vital	ADJ
ap-8601	339	19	role	role	NOUN
ap-8601	339	20	in	in	ADP
ap-8601	339	21	the	the	DET
ap-8601	339	22	lcc	lcc	NOUN
ap-8601	339	23	of	of	ADP
ap-8601	339	24	the	the	DET
ap-8601	339	25	annular	annular	ADJ
ap-8601	339	26	discs	disc	NOUN
ap-8601	339	27	.	.	PUNCT
ap-8601	340	1	compared	compare	VERB
ap-8601	340	2	to	to	ADP
ap-8601	340	3	the	the	DET
ap-8601	340	4	cases	case	NOUN
ap-8601	340	5	of	of	ADP
ap-8601	340	6	the	the	DET
ap-8601	340	7	non	non	ADJ
ap-8601	340	8	-	-	ADJ
ap-8601	340	9	porous	porous	ADJ
ap-8601	340	10	and	and	CCONJ
ap-8601	340	11	smooth	smooth	ADJ
ap-8601	340	12	surface	surface	NOUN
ap-8601	340	13	of	of	ADP
ap-8601	340	14	discs	disc	NOUN
ap-8601	340	15	,	,	PUNCT
ap-8601	340	16	it	it	PRON
ap-8601	340	17	is	be	AUX
ap-8601	340	18	concluded	conclude	VERB
ap-8601	340	19	that	that	SCONJ
ap-8601	340	20	the	the	DET
ap-8601	340	21	impact	impact	NOUN
ap-8601	340	22	of	of	ADP
ap-8601	340	23	porosity	porosity	NOUN
ap-8601	340	24	and	and	CCONJ
ap-8601	340	25	roughness	roughness	NOUN
ap-8601	340	26	reduces	reduce	VERB
ap-8601	340	27	the	the	DET
ap-8601	340	28	lcc	lcc	NOUN
ap-8601	340	29	with	with	ADP
ap-8601	340	30	increased	increase	VERB
ap-8601	340	31	film	film	NOUN
ap-8601	340	32	thickness	thickness	NOUN
ap-8601	340	33	.	.	PUNCT
ap-8601	341	1	lcc	lcc	PROPN
ap-8601	341	2	also	also	ADV
ap-8601	341	3	considerably	considerably	ADV
ap-8601	341	4	decreases	decrease	VERB
ap-8601	341	5	with	with	ADP
ap-8601	341	6	the	the	DET
ap-8601	341	7	increasing	increase	VERB
ap-8601	341	8	porous	porous	ADJ
ap-8601	341	9	parameter	parameter	NOUN
ap-8601	341	10	.	.	PUNCT
ap-8601	342	1	mostly	mostly	ADV
ap-8601	342	2	in	in	ADP
ap-8601	342	3	the	the	DET
ap-8601	342	4	case	case	NOUN
ap-8601	342	5	of	of	ADP
ap-8601	342	6	roughness	roughness	NOUN
ap-8601	342	7	patterns	pattern	NOUN
ap-8601	342	8	,	,	PUNCT
ap-8601	342	9	lcc	lcc	PROPN
ap-8601	342	10	is	be	AUX
ap-8601	342	11	much	much	ADV
ap-8601	342	12	more	more	ADV
ap-8601	342	13	prominent	prominent	ADJ
ap-8601	342	14	as	as	ADP
ap-8601	342	15	compared	compare	VERB
ap-8601	342	16	to	to	ADP
ap-8601	342	17	a	a	DET
ap-8601	342	18	smooth	smooth	ADJ
ap-8601	342	19	surface	surface	NOUN
ap-8601	342	20	for	for	ADP
ap-8601	342	21	the	the	DET
ap-8601	342	22	azimuthal	azimuthal	ADJ
ap-8601	342	23	roughness	roughness	NOUN
ap-8601	342	24	.	.	PUNCT
ap-8601	343	1	for	for	ADP
ap-8601	343	2	lower	low	ADJ
ap-8601	343	3	and	and	CCONJ
ap-8601	343	4	higher	high	ADJ
ap-8601	343	5	values	value	NOUN
ap-8601	343	6	of	of	ADP
ap-8601	343	7	radius	radius	NOUN
ap-8601	343	8	ratio	ratio	NOUN
ap-8601	343	9	,	,	PUNCT
ap-8601	343	10	moreover	moreover	ADV
ap-8601	343	11	,	,	PUNCT
ap-8601	343	12	the	the	DET
ap-8601	343	13	effect	effect	NOUN
ap-8601	343	14	of	of	ADP
ap-8601	343	15	the	the	DET
ap-8601	343	16	dilatant	dilatant	PROPN
ap-8601	343	17	fluids	fluid	NOUN
ap-8601	343	18	provides	provide	VERB
ap-8601	343	19	a	a	DET
ap-8601	343	20	larger	large	ADJ
ap-8601	343	21	lcc	lcc	PROPN
ap-8601	343	22	influence	influence	NOUN
ap-8601	343	23	on	on	ADP
ap-8601	343	24	the	the	DET
ap-8601	343	25	pseudoplastic	pseudoplastic	ADJ
ap-8601	343	26	fluids	fluid	NOUN
ap-8601	343	27	and	and	CCONJ
ap-8601	343	28	is	be	AUX
ap-8601	343	29	expected	expect	VERB
ap-8601	343	30	to	to	PART
ap-8601	343	31	yield	yield	VERB
ap-8601	343	32	inverse	inverse	NOUN
ap-8601	343	33	outcomes	outcome	NOUN
ap-8601	343	34	as	as	SCONJ
ap-8601	343	35	compared	compare	VERB
ap-8601	343	36	to	to	PART
ap-8601	343	37	nf	nf	INTJ
ap-8601	343	38	.	.	PUNCT
ap-8601	343	39	figures	figure	NOUN
ap-8601	343	40	6	6	NUM
ap-8601	343	41	demonstrates	demonstrate	VERB
ap-8601	343	42	the	the	DET
ap-8601	343	43	the	the	DET
ap-8601	343	44	disparity	disparity	NOUN
ap-8601	343	45	of	of	ADP
ap-8601	343	46	dimensionless	dimensionless	NOUN
ap-8601	343	47	srt	srt	NOUN
ap-8601	343	48	(	(	PUNCT
ap-8601	343	49	t∗	t∗	PROPN
ap-8601	343	50	)	)	PUNCT
ap-8601	343	51	concerning	concern	VERB
ap-8601	343	52	dimensionless	dimensionless	NOUN
ap-8601	343	53	film	film	NOUN
ap-8601	343	54	thickness	thickness	NOUN
ap-8601	343	55	(	(	PUNCT
ap-8601	343	56	h∗	h∗	PROPN
ap-8601	343	57	)	)	PUNCT
ap-8601	343	58	for	for	ADP
ap-8601	343	59	distinct	distinct	ADJ
ap-8601	343	60	values	value	NOUN
ap-8601	343	61	of	of	ADP
ap-8601	343	62	the	the	DET
ap-8601	343	63	non	non	ADJ
ap-8601	343	64	-	-	ADJ
ap-8601	343	65	linear	linear	ADJ
ap-8601	343	66	parameter	parameter	NOUN
ap-8601	343	67	(	(	PUNCT
ap-8601	343	68	ω	ω	NOUN
ap-8601	343	69	)	)	PUNCT
ap-8601	343	70	,	,	PUNCT
ap-8601	343	71	porous	porous	ADJ
ap-8601	343	72	parameters	parameter	NOUN
ap-8601	343	73	(	(	PUNCT
ap-8601	343	74	h∗	h∗	PROPN
ap-8601	343	75	0	0	NUM
ap-8601	343	76	,	,	PUNCT
ap-8601	343	77	and	and	CCONJ
ap-8601	343	78	r∗	r∗	VERB
ap-8601	343	79	0	0	NUM
ap-8601	343	80	)	)	PUNCT
ap-8601	343	81	under	under	ADP
ap-8601	343	82	the	the	DET
ap-8601	343	83	radius	radius	NOUN
ap-8601	343	84	ratio	ratio	NOUN
ap-8601	343	85	ω	ω	PROPN
ap-8601	343	86	=	=	SYM
ap-8601	343	87	0.4	0.4	NUM
ap-8601	343	88	.	.	PUNCT
ap-8601	344	1	the	the	DET
ap-8601	344	2	impact	impact	NOUN
ap-8601	344	3	of	of	ADP
ap-8601	344	4	the	the	DET
ap-8601	344	5	porous	porous	ADJ
ap-8601	344	6	media	medium	NOUN
ap-8601	344	7	on	on	ADP
ap-8601	344	8	discs	disc	NOUN
ap-8601	344	9	,	,	PUNCT
ap-8601	344	10	srt	srt	NOUN
ap-8601	344	11	is	be	AUX
ap-8601	344	12	hugely	hugely	ADV
ap-8601	344	13	prominent	prominent	ADJ
ap-8601	344	14	for	for	ADP
ap-8601	344	15	the	the	DET
ap-8601	344	16	non	non	ADJ
ap-8601	344	17	-	-	ADJ
ap-8601	344	18	porous	porous	ADJ
ap-8601	344	19	(	(	PUNCT
ap-8601	344	20	h∗	h∗	NOUN
ap-8601	344	21	0	0	NUM
ap-8601	345	1	=	=	SYM
ap-8601	345	2	0.0	0.0	NUM
ap-8601	345	3	,	,	PUNCT
ap-8601	345	4	r∗	r∗	VERB
ap-8601	345	5	0	0	NUM
ap-8601	346	1	=	=	SYM
ap-8601	346	2	0.0	0.0	NUM
ap-8601	346	3	)	)	PUNCT
ap-8601	346	4	as	as	SCONJ
ap-8601	346	5	compared	compare	VERB
ap-8601	346	6	to	to	ADP
ap-8601	346	7	the	the	DET
ap-8601	346	8	porous	porous	ADJ
ap-8601	346	9	c	c	NOUN
ap-8601	346	10	*	*	SYM
ap-8601	346	11	=	=	SYM
ap-8601	346	12	0.2	0.2	NUM
ap-8601	346	13	hgreenl	hgreenl	NOUN
ap-8601	346	14	azimuthal	azimuthal	NOUN
ap-8601	346	15	roughness	roughness	NOUN
ap-8601	347	1	c	c	NOUN
ap-8601	347	2	*	*	PUNCT
ap-8601	347	3	=	=	SYM
ap-8601	347	4	0.0	0.0	NUM
ap-8601	347	5	hbluel	hbluel	NOUN
ap-8601	347	6	smooth	smooth	NOUN
ap-8601	347	7	c	c	NOUN
ap-8601	347	8	*	*	PUNCT
ap-8601	347	9	=	=	SYM
ap-8601	347	10	0.2	0.2	NUM
ap-8601	347	11	hmagental	hmagental	ADJ
ap-8601	347	12	radial	radial	ADJ
ap-8601	347	13	roughness	roughness	NOUN
ap-8601	347	14	ω	ω	NOUN
ap-8601	347	15	=	=	SYM
ap-8601	347	16	-0.0002	-0.0002	PROPN
ap-8601	347	17	ω	ω	NOUN
ap-8601	347	18	=	=	SYM
ap-8601	347	19	0.0	0.0	NUM
ap-8601	347	20	hnewtonianl	hnewtonianl	PROPN
ap-8601	347	21	ω	ω	PROPN
ap-8601	347	22	=	=	PROPN
ap-8601	348	1	0.0002	0.0002	NUM
ap-8601	348	2	green	green	ADJ
ap-8601	348	3	,	,	PUNCT
ap-8601	348	4	blue	blue	ADJ
ap-8601	348	5	,	,	PUNCT
ap-8601	348	6	magenta	magenta	NOUN
ap-8601	348	7	w	w	NOUN
ap-8601	348	8	=	=	NOUN
ap-8601	348	9	0.4	0.4	NUM
ap-8601	348	10	0.20	0.20	NUM
ap-8601	348	11	0.25	0.25	NUM
ap-8601	348	12	0.30	0.30	NUM
ap-8601	348	13	0.35	0.35	NUM
ap-8601	348	14	0.40	0.40	NUM
ap-8601	348	15	0.45	0.45	NUM
ap-8601	348	16	0.50	0.50	NUM
ap-8601	348	17	0	0	NUM
ap-8601	348	18	20	20	NUM
ap-8601	348	19	40	40	NUM
ap-8601	348	20	60	60	NUM
ap-8601	348	21	80	80	NUM
ap-8601	348	22	100	100	NUM
ap-8601	348	23	120	120	NUM
ap-8601	348	24	140	140	NUM
ap-8601	348	25	h	h	PROPN
ap-8601	348	26	*	*	PROPN
ap-8601	348	27	t	t	PROPN
ap-8601	348	28	*	*	NOUN
ap-8601	348	29	figure	figure	NOUN
ap-8601	348	30	7	7	NUM
ap-8601	348	31	.	.	PUNCT
ap-8601	348	32	variations	variation	NOUN
ap-8601	348	33	in	in	ADP
ap-8601	348	34	srt	srt	NOUN
ap-8601	348	35	(	(	PUNCT
ap-8601	348	36	t∗	t∗	PROPN
ap-8601	348	37	)	)	PUNCT
ap-8601	348	38	with	with	ADP
ap-8601	348	39	h∗	h∗	PROPN
ap-8601	348	40	for	for	ADP
ap-8601	348	41	different	different	ADJ
ap-8601	348	42	values	value	NOUN
ap-8601	348	43	of	of	ADP
ap-8601	348	44	ω	ω	NUM
ap-8601	348	45	,	,	PUNCT
ap-8601	348	46	and	and	CCONJ
ap-8601	348	47	c∗	c∗	NOUN
ap-8601	348	48	with	with	ADP
ap-8601	348	49	h∗	h∗	PROPN
ap-8601	348	50	0	0	NUM
ap-8601	348	51	=	=	PUNCT
ap-8601	348	52	r∗	r∗	NOUN
ap-8601	348	53	0	0	NUM
ap-8601	349	1	=	=	SYM
ap-8601	349	2	0.1	0.1	NUM
ap-8601	349	3	and	and	CCONJ
ap-8601	349	4	ω	ω	NUM
ap-8601	349	5	=	=	SYM
ap-8601	349	6	0.4	0.4	NUM
ap-8601	349	7	.	.	PUNCT
ap-8601	350	1	case	case	NOUN
ap-8601	350	2	of	of	ADP
ap-8601	350	3	discs	disc	NOUN
ap-8601	350	4	.	.	PUNCT
ap-8601	351	1	influence	influence	NOUN
ap-8601	351	2	of	of	ADP
ap-8601	351	3	rf	rf	NOUN
ap-8601	351	4	in	in	ADP
ap-8601	351	5	the	the	DET
ap-8601	351	6	porous	porous	ADJ
ap-8601	351	7	medium	medium	NOUN
ap-8601	351	8	between	between	ADP
ap-8601	351	9	annular	annular	ADJ
ap-8601	351	10	discs	disc	NOUN
ap-8601	351	11	,	,	PUNCT
ap-8601	351	12	the	the	DET
ap-8601	351	13	srt	srt	NOUN
ap-8601	351	14	is	be	AUX
ap-8601	351	15	lower	low	ADJ
ap-8601	351	16	for	for	ADP
ap-8601	351	17	pseudoplastic	pseudoplastic	ADJ
ap-8601	351	18	and	and	CCONJ
ap-8601	351	19	higher	high	ADJ
ap-8601	351	20	for	for	ADP
ap-8601	351	21	dilatant	dilatant	ADJ
ap-8601	351	22	fluids	fluid	NOUN
ap-8601	351	23	as	as	SCONJ
ap-8601	351	24	compared	compare	VERB
ap-8601	351	25	to	to	PART
ap-8601	351	26	nf	nf	INTJ
ap-8601	351	27	.	.	PUNCT
ap-8601	352	1	figures	figure	NOUN
ap-8601	352	2	7	7	NUM
ap-8601	352	3	shows	show	VERB
ap-8601	352	4	the	the	DET
ap-8601	352	5	behaviour	behaviour	NOUN
ap-8601	352	6	of	of	ADP
ap-8601	352	7	srt	srt	ADJ
ap-8601	352	8	t∗	t∗	NOUN
ap-8601	352	9	against	against	ADP
ap-8601	352	10	h∗	h∗	PROPN
ap-8601	352	11	with	with	ADP
ap-8601	352	12	ω	ω	PROPN
ap-8601	352	13	and	and	CCONJ
ap-8601	352	14	c∗	c∗	PROPN
ap-8601	352	15	under	under	ADP
ap-8601	352	16	the	the	DET
ap-8601	352	17	radius	radius	NOUN
ap-8601	352	18	ratio	ratio	NOUN
ap-8601	352	19	ω	ω	PROPN
ap-8601	352	20	=	=	SYM
ap-8601	352	21	0.4	0.4	NUM
ap-8601	352	22	.	.	PUNCT
ap-8601	353	1	it	it	PRON
ap-8601	353	2	is	be	AUX
ap-8601	353	3	found	find	VERB
ap-8601	353	4	that	that	SCONJ
ap-8601	353	5	t∗	t∗	NOUN
ap-8601	353	6	increases	increase	NOUN
ap-8601	353	7	(	(	PUNCT
ap-8601	353	8	decreases	decrease	NOUN
ap-8601	353	9	)	)	PUNCT
ap-8601	353	10	for	for	ADP
ap-8601	353	11	the	the	DET
ap-8601	353	12	azimuthal	azimuthal	ADJ
ap-8601	353	13	(	(	PUNCT
ap-8601	353	14	radial	radial	ADJ
ap-8601	353	15	)	)	PUNCT
ap-8601	353	16	roughness	roughness	NOUN
ap-8601	353	17	patterns	pattern	NOUN
ap-8601	353	18	.	.	PUNCT
ap-8601	354	1	the	the	DET
ap-8601	354	2	sr	sr	PROPN
ap-8601	354	3	accounted	account	VERB
ap-8601	354	4	for	for	ADP
ap-8601	354	5	more	more	ADJ
ap-8601	354	6	srt	srt	NOUN
ap-8601	354	7	with	with	ADP
ap-8601	354	8	the	the	DET
ap-8601	354	9	lower	low	ADJ
ap-8601	354	10	radius	radius	NOUN
ap-8601	354	11	ratio	ratio	NOUN
ap-8601	354	12	with	with	ADP
ap-8601	354	13	respect	respect	NOUN
ap-8601	354	14	to	to	ADP
ap-8601	354	15	higher	high	ADJ
ap-8601	354	16	values	value	NOUN
ap-8601	354	17	of	of	ADP
ap-8601	354	18	the	the	DET
ap-8601	354	19	radius	radius	NOUN
ap-8601	354	20	ratio	ratio	NOUN
ap-8601	354	21	.	.	PUNCT
ap-8601	355	1	tables	table	NOUN
ap-8601	355	2	1	1	NUM
ap-8601	355	3	and	and	CCONJ
ap-8601	355	4	2	2	NUM
ap-8601	355	5	illustrate	illustrate	VERB
ap-8601	355	6	the	the	DET
ap-8601	355	7	numerical	numerical	ADJ
ap-8601	355	8	comparison	comparison	NOUN
ap-8601	355	9	of	of	ADP
ap-8601	355	10	lcc	lcc	PROPN
ap-8601	355	11	with	with	ADP
ap-8601	355	12	the	the	DET
ap-8601	355	13	results	result	NOUN
ap-8601	355	14	of	of	ADP
ap-8601	355	15	lin	lin	PROPN
ap-8601	356	1	[	[	X
ap-8601	356	2	8	8	NUM
ap-8601	356	3	]	]	PUNCT
ap-8601	356	4	(	(	PUNCT
ap-8601	356	5	with	with	ADP
ap-8601	356	6	h∗	h∗	PROPN
ap-8601	356	7	0	0	NUM
ap-8601	356	8	=	=	PUNCT
ap-8601	356	9	r∗	r∗	NOUN
ap-8601	356	10	0	0	NUM
ap-8601	357	1	=	=	SYM
ap-8601	357	2	0.0	0.0	NUM
ap-8601	357	3	,	,	PUNCT
ap-8601	357	4	h∗	h∗	PROPN
ap-8601	357	5	=	=	NOUN
ap-8601	357	6	0.2	0.2	NUM
ap-8601	357	7	)	)	PUNCT
ap-8601	357	8	and	and	CCONJ
ap-8601	357	9	the	the	DET
ap-8601	357	10	present	present	ADJ
ap-8601	357	11	analysis	analysis	NOUN
ap-8601	357	12	for	for	ADP
ap-8601	357	13	different	different	ADJ
ap-8601	357	14	values	value	NOUN
ap-8601	357	15	of	of	ADP
ap-8601	357	16	ω	ω	PROPN
ap-8601	357	17	,	,	PUNCT
ap-8601	357	18	c∗	c∗	PROPN
ap-8601	357	19	and	and	CCONJ
ap-8601	357	20	ω	ω	NOUN
ap-8601	357	21	.	.	PUNCT
ap-8601	358	1	it	it	PRON
ap-8601	358	2	can	can	AUX
ap-8601	358	3	be	be	AUX
ap-8601	358	4	concluded	conclude	VERB
ap-8601	358	5	that	that	SCONJ
ap-8601	358	6	increasing	increase	VERB
ap-8601	358	7	the	the	DET
ap-8601	358	8	roughness	roughness	NOUN
ap-8601	358	9	and	and	CCONJ
ap-8601	358	10	porous	porous	ADJ
ap-8601	358	11	parameters	parameter	NOUN
ap-8601	358	12	leads	lead	VERB
ap-8601	358	13	to	to	ADP
ap-8601	358	14	a	a	DET
ap-8601	358	15	decrease	decrease	NOUN
ap-8601	358	16	in	in	ADP
ap-8601	358	17	lcc	lcc	PROPN
ap-8601	358	18	.	.	PUNCT
ap-8601	359	1	moreover	moreover	ADV
ap-8601	359	2	,	,	PUNCT
ap-8601	359	3	dilatant	dilatant	ADJ
ap-8601	359	4	fluids	fluid	NOUN
ap-8601	359	5	(	(	PUNCT
ap-8601	359	6	−0.0002	−0.0002	NOUN
ap-8601	359	7	)	)	PUNCT
ap-8601	359	8	showed	show	VERB
ap-8601	359	9	a	a	DET
ap-8601	359	10	higher	high	ADJ
ap-8601	359	11	lcc	lcc	NOUN
ap-8601	359	12	as	as	SCONJ
ap-8601	359	13	compared	compare	VERB
ap-8601	359	14	to	to	ADP
ap-8601	359	15	pseudoplastic	pseudoplastic	ADJ
ap-8601	359	16	fluids	fluid	NOUN
ap-8601	359	17	(	(	PUNCT
ap-8601	359	18	+0.0002	+0.0002	NOUN
ap-8601	359	19	)	)	PUNCT
ap-8601	359	20	.	.	PUNCT
ap-8601	360	1	5	5	X
ap-8601	360	2	.	.	X
ap-8601	360	3	conclusions	conclusion	NOUN
ap-8601	360	4	based	base	VERB
ap-8601	360	5	on	on	ADP
ap-8601	360	6	the	the	DET
ap-8601	360	7	rfm	rfm	PROPN
ap-8601	360	8	,	,	PUNCT
ap-8601	360	9	the	the	DET
ap-8601	360	10	performance	performance	NOUN
ap-8601	360	11	of	of	ADP
ap-8601	360	12	annular	annular	ADJ
ap-8601	360	13	discs	disc	NOUN
ap-8601	360	14	under	under	ADP
ap-8601	360	15	the	the	DET
ap-8601	360	16	condition	condition	NOUN
ap-8601	360	17	of	of	ADP
ap-8601	360	18	sr	sr	PROPN
ap-8601	360	19	and	and	CCONJ
ap-8601	360	20	the	the	DET
ap-8601	360	21	porous	porous	ADJ
ap-8601	360	22	wall	wall	NOUN
ap-8601	360	23	is	be	AUX
ap-8601	360	24	studied	study	VERB
ap-8601	360	25	in	in	ADP
ap-8601	360	26	the	the	DET
ap-8601	360	27	present	present	ADJ
ap-8601	360	28	work	work	NOUN
ap-8601	360	29	proposing	propose	VERB
ap-8601	360	30	two	two	NUM
ap-8601	360	31	different	different	ADJ
ap-8601	360	32	theories	theory	NOUN
ap-8601	360	33	.	.	PUNCT
ap-8601	361	1	•	•	NUM
ap-8601	361	2	the	the	DET
ap-8601	361	3	modified	modify	VERB
ap-8601	361	4	darcy	darcy	PROPN
ap-8601	361	5	’s	’s	PART
ap-8601	361	6	law	law	PROPN
ap-8601	361	7	and	and	CCONJ
ap-8601	361	8	morgan	morgan	PROPN
ap-8601	361	9	-	-	PUNCT
ap-8601	361	10	cameron	cameron	PROPN
ap-8601	361	11	approximation	approximation	NOUN
ap-8601	361	12	for	for	ADP
ap-8601	361	13	porous	porous	ADJ
ap-8601	361	14	wall	wall	NOUN
ap-8601	361	15	;	;	PUNCT
ap-8601	361	16	•	•	NUM
ap-8601	361	17	christensen	christensen	PROPN
ap-8601	361	18	’s	’s	PART
ap-8601	361	19	stochastic	stochastic	ADJ
ap-8601	361	20	theory	theory	NOUN
ap-8601	361	21	for	for	ADP
ap-8601	361	22	sr	sr	PROPN
ap-8601	361	23	.	.	PUNCT
ap-8601	362	1	the	the	DET
ap-8601	362	2	non	non	ADJ
ap-8601	362	3	-	-	ADJ
ap-8601	362	4	linear	linear	ADJ
ap-8601	362	5	reynolds	reynold	NOUN
ap-8601	362	6	equation	equation	NOUN
ap-8601	362	7	(	(	PUNCT
ap-8601	362	8	nlre	nlre	PROPN
ap-8601	362	9	)	)	PUNCT
ap-8601	362	10	is	be	AUX
ap-8601	362	11	constructed	construct	VERB
ap-8601	362	12	using	use	VERB
ap-8601	362	13	the	the	DET
ap-8601	362	14	above	above	ADJ
ap-8601	362	15	theories	theory	NOUN
ap-8601	362	16	.	.	PUNCT
ap-8601	363	1	to	to	PART
ap-8601	363	2	solve	solve	VERB
ap-8601	363	3	the	the	DET
ap-8601	363	4	nlre	nlre	NOUN
ap-8601	363	5	,	,	PUNCT
ap-8601	363	6	we	we	PRON
ap-8601	363	7	used	use	VERB
ap-8601	363	8	the	the	DET
ap-8601	363	9	techniques	technique	NOUN
ap-8601	363	10	listed	list	VERB
ap-8601	363	11	below	below	ADP
ap-8601	363	12	:	:	PUNCT
ap-8601	363	13	•	•	ADJ
ap-8601	363	14	small	small	ADJ
ap-8601	363	15	perturbation	perturbation	NOUN
ap-8601	363	16	techniques	technique	NOUN
ap-8601	363	17	;	;	PUNCT
ap-8601	363	18	•	•	NUM
ap-8601	363	19	five	five	NUM
ap-8601	363	20	-	-	PUNCT
ap-8601	363	21	point	point	NOUN
ap-8601	363	22	gauss	gauss	ADJ
ap-8601	363	23	quadrature	quadrature	NOUN
ap-8601	363	24	integral	integral	ADJ
ap-8601	363	25	formula	formula	NOUN
ap-8601	363	26	.	.	PUNCT
ap-8601	364	1	the	the	DET
ap-8601	364	2	annular	annular	ADJ
ap-8601	364	3	discs	disc	NOUN
ap-8601	364	4	are	be	AUX
ap-8601	364	5	studied	study	VERB
ap-8601	364	6	in	in	ADP
ap-8601	364	7	two	two	NUM
ap-8601	364	8	physical	physical	ADJ
ap-8601	364	9	situations	situation	NOUN
ap-8601	364	10	with	with	ADP
ap-8601	364	11	surfaces	surface	NOUN
ap-8601	364	12	:	:	PUNCT
ap-8601	364	13	one	one	NUM
ap-8601	364	14	with	with	ADP
ap-8601	364	15	porous	porous	ADJ
ap-8601	364	16	walls	wall	NOUN
ap-8601	364	17	of	of	ADP
ap-8601	364	18	equal	equal	ADJ
ap-8601	364	19	thickness	thickness	NOUN
ap-8601	364	20	and	and	CCONJ
ap-8601	364	21	radius	radius	NOUN
ap-8601	364	22	of	of	ADP
ap-8601	364	23	the	the	DET
ap-8601	364	24	capillarity	capillarity	NOUN
ap-8601	364	25	tube	tube	NOUN
ap-8601	364	26	,	,	PUNCT
ap-8601	364	27	another	another	PRON
ap-8601	364	28	with	with	ADP
ap-8601	364	29	sr	sr	PROPN
ap-8601	364	30	.	.	PUNCT
ap-8601	365	1	fp	fp	PROPN
ap-8601	365	2	,	,	PUNCT
ap-8601	365	3	lcc	lcc	PROPN
ap-8601	365	4	,	,	PUNCT
ap-8601	365	5	and	and	CCONJ
ap-8601	365	6	srt	srt	NOUN
ap-8601	365	7	are	be	AUX
ap-8601	365	8	calculated	calculate	VERB
ap-8601	365	9	for	for	ADP
ap-8601	365	10	different	different	ADJ
ap-8601	365	11	parameters	parameter	NOUN
ap-8601	365	12	of	of	ADP
ap-8601	365	13	porous	porous	ADJ
ap-8601	365	14	and	and	CCONJ
ap-8601	365	15	sr	sr	PROPN
ap-8601	365	16	.	.	PUNCT
ap-8601	366	1	in	in	ADP
ap-8601	366	2	the	the	DET
ap-8601	366	3	case	case	NOUN
ap-8601	366	4	of	of	ADP
ap-8601	366	5	non	non	ADJ
ap-8601	366	6	-	-	ADJ
ap-8601	366	7	porous	porous	ADJ
ap-8601	366	8	and	and	CCONJ
ap-8601	366	9	smooth	smooth	ADJ
ap-8601	366	10	surfaces	surface	NOUN
ap-8601	366	11	,	,	PUNCT
ap-8601	366	12	the	the	DET
ap-8601	366	13	fp	fp	ADJ
ap-8601	366	14	distribution	distribution	NOUN
ap-8601	366	15	,	,	PUNCT
ap-8601	366	16	lcc	lcc	PROPN
ap-8601	366	17	,	,	PUNCT
ap-8601	366	18	and	and	CCONJ
ap-8601	366	19	sf	sf	PROPN
ap-8601	366	20	are	be	AUX
ap-8601	366	21	identical	identical	ADJ
ap-8601	366	22	to	to	ADP
ap-8601	366	23	the	the	DET
ap-8601	366	24	literature	literature	NOUN
ap-8601	366	25	lin	lin	PROPN
ap-8601	367	1	[	[	X
ap-8601	367	2	8	8	NUM
ap-8601	367	3	]	]	PUNCT
ap-8601	367	4	.	.	PUNCT
ap-8601	368	1	the	the	DET
ap-8601	368	2	conclusions	conclusion	NOUN
ap-8601	368	3	are	be	AUX
ap-8601	368	4	as	as	SCONJ
ap-8601	368	5	follows	follow	VERB
ap-8601	368	6	:	:	PUNCT
ap-8601	369	1	447	447	NUM
ap-8601	369	2	a.	a.	PROPN
ap-8601	369	3	k.	k.	PROPN
ap-8601	369	4	rahul	rahul	PROPN
ap-8601	369	5	,	,	PUNCT
ap-8601	369	6	m.	m.	PROPN
ap-8601	369	7	k.	k.	PROPN
ap-8601	369	8	singh	singh	PROPN
ap-8601	369	9	,	,	PUNCT
ap-8601	369	10	r.	r.	PROPN
ap-8601	369	11	tiwari	tiwari	PROPN
ap-8601	369	12	et	et	PROPN
ap-8601	369	13	al	al	PROPN
ap-8601	369	14	.	.	PROPN
ap-8601	369	15	acta	acta	PROPN
ap-8601	369	16	polytechnica	polytechnica	PROPN
ap-8601	369	17	ω	ω	PROPN
ap-8601	369	18	=	=	PUNCT
ap-8601	369	19	0.2	0.2	NUM
ap-8601	369	20	ω	ω	NUM
ap-8601	369	21	=	=	SYM
ap-8601	369	22	0.4	0.4	NUM
ap-8601	369	23	ω	ω	NUM
ap-8601	369	24	lin	lin	PROPN
ap-8601	370	1	[	[	X
ap-8601	370	2	8	8	NUM
ap-8601	370	3	]	]	X
ap-8601	370	4	present	present	ADJ
ap-8601	370	5	analysis	analysis	NOUN
ap-8601	370	6	lin	lin	PROPN
ap-8601	371	1	[	[	X
ap-8601	371	2	8	8	NUM
ap-8601	371	3	]	]	X
ap-8601	371	4	present	present	ADJ
ap-8601	371	5	analysis	analysis	NOUN
ap-8601	371	6	c∗	c∗	NOUN
ap-8601	371	7	=	=	SYM
ap-8601	371	8	0.0	0.0	NUM
ap-8601	371	9	c∗	c∗	NOUN
ap-8601	371	10	=	=	PUNCT
ap-8601	371	11	0.0	0.0	NUM
ap-8601	371	12	c∗	c∗	NOUN
ap-8601	371	13	=	=	SYM
ap-8601	371	14	0.4	0.4	NUM
ap-8601	371	15	c∗	c∗	NOUN
ap-8601	371	16	=	=	PROPN
ap-8601	371	17	0.4	0.4	NUM
ap-8601	371	18	c∗	c∗	NOUN
ap-8601	371	19	=	=	PUNCT
ap-8601	371	20	0.0	0.0	NUM
ap-8601	371	21	c∗	c∗	NOUN
ap-8601	371	22	=	=	PUNCT
ap-8601	371	23	0.0	0.0	NUM
ap-8601	371	24	c∗	c∗	NOUN
ap-8601	371	25	=	=	SYM
ap-8601	371	26	0.4	0.4	NUM
ap-8601	371	27	c∗	c∗	NOUN
ap-8601	371	28	=	=	SYM
ap-8601	371	29	0.4	0.4	NUM
ap-8601	371	30	(	(	PUNCT
ap-8601	371	31	radial	radial	NOUN
ap-8601	371	32	)	)	PUNCT
ap-8601	371	33	(	(	PUNCT
ap-8601	371	34	azimuthal	azimuthal	NOUN
ap-8601	371	35	)	)	PUNCT
ap-8601	371	36	(	(	PUNCT
ap-8601	371	37	radial	radial	NOUN
ap-8601	371	38	)	)	PUNCT
ap-8601	371	39	(	(	PUNCT
ap-8601	371	40	azimuthal	azimuthal	NOUN
ap-8601	371	41	)	)	PUNCT
ap-8601	371	42	(	(	PUNCT
ap-8601	371	43	radial	radial	NOUN
ap-8601	371	44	)	)	PUNCT
ap-8601	371	45	(	(	PUNCT
ap-8601	371	46	azimuthal	azimuthal	NOUN
ap-8601	371	47	)	)	PUNCT
ap-8601	371	48	(	(	PUNCT
ap-8601	371	49	radial	radial	NOUN
ap-8601	371	50	)	)	PUNCT
ap-8601	371	51	(	(	PUNCT
ap-8601	371	52	azimuthal	azimuthal	NOUN
ap-8601	371	53	)	)	PUNCT
ap-8601	371	54	−0.0002	−0.0002	NUM
ap-8601	371	55	329.088	329.088	NUM
ap-8601	371	56	329.088	329.088	NUM
ap-8601	371	57	69.7214	69.7214	NUM
ap-8601	371	58	459.684	459.684	NUM
ap-8601	371	59	138.991	138.991	NUM
ap-8601	371	60	138.991	138.991	NUM
ap-8601	371	61	32.6894	32.6894	NUM
ap-8601	371	62	197.561	197.561	NUM
ap-8601	371	63	0	0	NUM
ap-8601	372	1	250.804	250.804	NUM
ap-8601	372	2	250.804	250.804	NUM
ap-8601	372	3	66.5346	66.5346	NUM
ap-8601	372	4	364.434	364.434	NUM
ap-8601	372	5	120.365	120.365	NUM
ap-8601	372	6	120.365	120.365	NUM
ap-8601	372	7	31.9312	31.9312	NUM
ap-8601	372	8	174.899	174.899	NUM
ap-8601	372	9	+0.0002	+0.0002	NUM
ap-8601	372	10	172.519	172.519	NUM
ap-8601	372	11	172.519	172.519	NUM
ap-8601	372	12	63.3478	63.3478	NUM
ap-8601	372	13	269.185	269.185	NUM
ap-8601	372	14	101.74	101.74	NUM
ap-8601	372	15	101.74	101.74	NUM
ap-8601	372	16	31.173	31.173	NUM
ap-8601	372	17	152.237	152.237	NUM
ap-8601	372	18	table	table	NOUN
ap-8601	372	19	1	1	NUM
ap-8601	372	20	.	.	PUNCT
ap-8601	372	21	numerical	numerical	ADJ
ap-8601	372	22	comparison	comparison	NOUN
ap-8601	372	23	of	of	ADP
ap-8601	372	24	lcc	lcc	PROPN
ap-8601	372	25	(	(	PUNCT
ap-8601	372	26	w	w	NOUN
ap-8601	372	27	∗	∗	NOUN
ap-8601	372	28	)	)	PUNCT
ap-8601	372	29	of	of	ADP
ap-8601	372	30	lin	lin	PROPN
ap-8601	373	1	[	[	X
ap-8601	373	2	8	8	NUM
ap-8601	373	3	]	]	PUNCT
ap-8601	373	4	(	(	PUNCT
ap-8601	373	5	with	with	ADP
ap-8601	373	6	h∗	h∗	PROPN
ap-8601	373	7	0	0	NUM
ap-8601	373	8	=	=	PUNCT
ap-8601	373	9	r∗	r∗	NOUN
ap-8601	373	10	0	0	NUM
ap-8601	374	1	=	=	SYM
ap-8601	374	2	0.0	0.0	NUM
ap-8601	374	3	,	,	PUNCT
ap-8601	374	4	h∗	h∗	PROPN
ap-8601	374	5	=	=	NOUN
ap-8601	374	6	0.2	0.2	NUM
ap-8601	374	7	)	)	PUNCT
ap-8601	374	8	and	and	CCONJ
ap-8601	374	9	present	present	ADJ
ap-8601	374	10	analysis	analysis	NOUN
ap-8601	374	11	(	(	PUNCT
ap-8601	374	12	with	with	ADP
ap-8601	374	13	h∗	h∗	PROPN
ap-8601	374	14	0	0	NUM
ap-8601	375	1	=	=	PUNCT
ap-8601	375	2	r∗	r∗	NOUN
ap-8601	375	3	0	0	NUM
ap-8601	376	1	=	=	SYM
ap-8601	376	2	0.1	0.1	NUM
ap-8601	376	3	,	,	PUNCT
ap-8601	376	4	h∗	h∗	NOUN
ap-8601	376	5	=	=	NOUN
ap-8601	376	6	0.2	0.2	NUM
ap-8601	376	7	)	)	PUNCT
ap-8601	376	8	for	for	ADP
ap-8601	376	9	different	different	ADJ
ap-8601	376	10	values	value	NOUN
ap-8601	376	11	of	of	ADP
ap-8601	376	12	ω	ω	PROPN
ap-8601	376	13	,	,	PUNCT
ap-8601	376	14	c∗	c∗	PROPN
ap-8601	376	15	and	and	CCONJ
ap-8601	376	16	ω	ω	NUM
ap-8601	376	17	.	.	PUNCT
ap-8601	377	1	ω	ω	PROPN
ap-8601	377	2	=	=	SYM
ap-8601	378	1	0.2	0.2	NUM
ap-8601	378	2	present	present	ADJ
ap-8601	378	3	analysis	analysis	NOUN
ap-8601	378	4	ω	ω	NOUN
ap-8601	378	5	=	=	SYM
ap-8601	378	6	0.4	0.4	NUM
ap-8601	378	7	present	present	ADJ
ap-8601	378	8	analysis	analysis	NOUN
ap-8601	378	9	ω	ω	NOUN
ap-8601	378	10	lin[8	lin[8	NOUN
ap-8601	378	11	]	]	X
ap-8601	378	12	h∗	h∗	NOUN
ap-8601	378	13	0	0	NUM
ap-8601	379	1	=	=	PUNCT
ap-8601	379	2	r∗	r∗	NOUN
ap-8601	379	3	0	0	NUM
ap-8601	380	1	=	=	SYM
ap-8601	380	2	0.2	0.2	NUM
ap-8601	380	3	lin[8	lin[8	NOUN
ap-8601	380	4	]	]	PUNCT
ap-8601	380	5	h∗	h∗	NOUN
ap-8601	380	6	0	0	NUM
ap-8601	381	1	=	=	PUNCT
ap-8601	381	2	r∗	r∗	NOUN
ap-8601	381	3	0	0	NUM
ap-8601	382	1	=	=	SYM
ap-8601	382	2	0.2	0.2	NUM
ap-8601	382	3	h∗	h∗	NOUN
ap-8601	382	4	0	0	NUM
ap-8601	382	5	=	=	SYM
ap-8601	382	6	0.0	0.0	NUM
ap-8601	382	7	h∗	h∗	NOUN
ap-8601	382	8	0	0	NUM
ap-8601	382	9	=	=	SYM
ap-8601	382	10	0.0	0.0	NUM
ap-8601	382	11	h∗	h∗	NOUN
ap-8601	382	12	0	0	NUM
ap-8601	383	1	=	=	SYM
ap-8601	383	2	0.2	0.2	NUM
ap-8601	383	3	h∗	h∗	NOUN
ap-8601	383	4	0	0	NUM
ap-8601	383	5	=	=	SYM
ap-8601	383	6	0.2	0.2	NUM
ap-8601	383	7	h∗	h∗	NOUN
ap-8601	383	8	0	0	NUM
ap-8601	384	1	=	=	SYM
ap-8601	384	2	0.0	0.0	NUM
ap-8601	384	3	h∗	h∗	NOUN
ap-8601	384	4	0	0	NUM
ap-8601	384	5	=	=	SYM
ap-8601	384	6	0.0	0.0	NUM
ap-8601	384	7	h∗	h∗	NOUN
ap-8601	384	8	0	0	NUM
ap-8601	384	9	=	=	SYM
ap-8601	384	10	0.2	0.2	NUM
ap-8601	384	11	h∗	h∗	NOUN
ap-8601	384	12	0	0	NUM
ap-8601	385	1	=	=	SYM
ap-8601	385	2	0.2	0.2	NUM
ap-8601	385	3	r∗	r∗	NOUN
ap-8601	385	4	0	0	NUM
ap-8601	386	1	=	=	SYM
ap-8601	386	2	0.0	0.0	NUM
ap-8601	386	3	r∗	r∗	NOUN
ap-8601	386	4	0	0	NUM
ap-8601	387	1	=	=	SYM
ap-8601	387	2	0.0	0.0	NUM
ap-8601	387	3	r∗	r∗	NOUN
ap-8601	387	4	0	0	NUM
ap-8601	388	1	=	=	SYM
ap-8601	388	2	0.2	0.2	NUM
ap-8601	388	3	r∗	r∗	NOUN
ap-8601	388	4	0	0	NUM
ap-8601	389	1	=	=	SYM
ap-8601	389	2	0.2	0.2	NUM
ap-8601	389	3	r∗	r∗	NOUN
ap-8601	389	4	0	0	NUM
ap-8601	390	1	=	=	SYM
ap-8601	390	2	0.0	0.0	NUM
ap-8601	390	3	r∗	r∗	NOUN
ap-8601	390	4	0	0	NUM
ap-8601	391	1	=	=	SYM
ap-8601	391	2	0.0	0.0	NUM
ap-8601	391	3	r∗	r∗	NOUN
ap-8601	391	4	0	0	NUM
ap-8601	392	1	=	=	SYM
ap-8601	392	2	0.2	0.2	NUM
ap-8601	392	3	r∗	r∗	NOUN
ap-8601	392	4	0	0	NUM
ap-8601	393	1	=	=	SYM
ap-8601	393	2	0.2	0.2	NUM
ap-8601	393	3	(	(	PUNCT
ap-8601	393	4	radial	radial	NOUN
ap-8601	393	5	)	)	PUNCT
ap-8601	393	6	(	(	PUNCT
ap-8601	393	7	azimuthal	azimuthal	NOUN
ap-8601	393	8	)	)	PUNCT
ap-8601	393	9	(	(	PUNCT
ap-8601	393	10	radial	radial	NOUN
ap-8601	393	11	)	)	PUNCT
ap-8601	393	12	(	(	PUNCT
ap-8601	393	13	azimuthal	azimuthal	NOUN
ap-8601	393	14	)	)	PUNCT
ap-8601	393	15	(	(	PUNCT
ap-8601	393	16	radial	radial	NOUN
ap-8601	393	17	)	)	PUNCT
ap-8601	393	18	(	(	PUNCT
ap-8601	393	19	azimuthal	azimuthal	NOUN
ap-8601	393	20	)	)	PUNCT
ap-8601	393	21	(	(	PUNCT
ap-8601	393	22	radial	radial	NOUN
ap-8601	393	23	)	)	PUNCT
ap-8601	393	24	(	(	PUNCT
ap-8601	393	25	azimuthal	azimuthal	NOUN
ap-8601	393	26	)	)	PUNCT
ap-8601	393	27	−0.0002	−0.0002	NUM
ap-8601	394	1	329.088	329.088	NUM
ap-8601	394	2	329.088	329.088	NUM
ap-8601	394	3	66.4727	66.4727	NUM
ap-8601	394	4	72.9544	72.9544	NUM
ap-8601	394	5	138.991	138.991	NUM
ap-8601	394	6	138.991	138.991	NUM
ap-8601	394	7	31.5269	31.5269	NUM
ap-8601	394	8	34.5767	34.5767	NUM
ap-8601	394	9	0	0	NUM
ap-8601	394	10	250.804	250.804	NUM
ap-8601	394	11	250.804	250.804	NUM
ap-8601	394	12	64.9249	64.9249	NUM
ap-8601	394	13	71.155	71.155	NUM
ap-8601	394	14	120.365	120.365	NUM
ap-8601	394	15	120.365	120.365	NUM
ap-8601	394	16	31.1587	31.1587	NUM
ap-8601	394	17	34.1486	34.1486	NUM
ap-8601	394	18	+0.0002	+0.0002	NUM
ap-8601	394	19	172.519	172.519	NUM
ap-8601	394	20	172.519	172.519	NUM
ap-8601	394	21	63.377	63.377	NUM
ap-8601	394	22	69.3557	69.3557	NUM
ap-8601	394	23	101.74	101.74	NUM
ap-8601	394	24	101.74	101.74	NUM
ap-8601	394	25	30.7904	30.7904	NUM
ap-8601	394	26	33.7205	33.7205	NUM
ap-8601	394	27	table	table	NOUN
ap-8601	394	28	2	2	NUM
ap-8601	394	29	.	.	PUNCT
ap-8601	394	30	numerical	numerical	ADJ
ap-8601	394	31	comparison	comparison	NOUN
ap-8601	394	32	of	of	ADP
ap-8601	394	33	lcc	lcc	PROPN
ap-8601	394	34	(	(	PUNCT
ap-8601	394	35	w	w	NOUN
ap-8601	394	36	∗	∗	NOUN
ap-8601	394	37	)	)	PUNCT
ap-8601	394	38	of	of	ADP
ap-8601	394	39	lin	lin	PROPN
ap-8601	395	1	[	[	X
ap-8601	395	2	8	8	NUM
ap-8601	395	3	]	]	PUNCT
ap-8601	395	4	(	(	PUNCT
ap-8601	395	5	with	with	ADP
ap-8601	395	6	h∗	h∗	PROPN
ap-8601	395	7	=	=	NOUN
ap-8601	395	8	0.2	0.2	NUM
ap-8601	395	9	,	,	PUNCT
ap-8601	395	10	c∗	c∗	NOUN
ap-8601	395	11	=	=	SYM
ap-8601	395	12	0.0	0.0	NUM
ap-8601	395	13	)	)	PUNCT
ap-8601	395	14	and	and	CCONJ
ap-8601	395	15	present	present	ADJ
ap-8601	395	16	analysis	analysis	NOUN
ap-8601	395	17	(	(	PUNCT
ap-8601	395	18	with	with	ADP
ap-8601	395	19	h∗	h∗	PROPN
ap-8601	395	20	=	=	NOUN
ap-8601	395	21	0.2	0.2	NUM
ap-8601	395	22	,	,	PUNCT
ap-8601	395	23	c∗	c∗	NOUN
ap-8601	395	24	=	=	NOUN
ap-8601	395	25	0.1	0.1	NUM
ap-8601	395	26	)	)	PUNCT
ap-8601	395	27	for	for	ADP
ap-8601	395	28	different	different	ADJ
ap-8601	395	29	values	value	NOUN
ap-8601	395	30	of	of	ADP
ap-8601	395	31	ω	ω	PROPN
ap-8601	395	32	,	,	PUNCT
ap-8601	395	33	h∗	h∗	PROPN
ap-8601	395	34	0	0	NUM
ap-8601	395	35	,	,	PUNCT
ap-8601	395	36	r∗	r∗	VERB
ap-8601	395	37	0	0	NUM
ap-8601	395	38	,	,	PUNCT
ap-8601	395	39	and	and	CCONJ
ap-8601	396	1	ω	ω	X
ap-8601	396	2	.	.	PUNCT
ap-8601	396	3	a	a	DET
ap-8601	396	4	)	)	PUNCT
ap-8601	396	5	annular	annular	ADJ
ap-8601	396	6	discs	disc	NOUN
ap-8601	396	7	with	with	ADP
ap-8601	396	8	the	the	DET
ap-8601	396	9	presence	presence	NOUN
ap-8601	396	10	of	of	ADP
ap-8601	396	11	a	a	DET
ap-8601	396	12	porous	porous	ADJ
ap-8601	396	13	wall	wall	NOUN
ap-8601	396	14	:	:	PUNCT
ap-8601	396	15	the	the	DET
ap-8601	396	16	fp	fp	NOUN
ap-8601	396	17	,	,	PUNCT
ap-8601	396	18	lcc	lcc	PROPN
ap-8601	396	19	,	,	PUNCT
ap-8601	396	20	and	and	CCONJ
ap-8601	396	21	srt	srt	NOUN
ap-8601	396	22	decrease	decrease	NOUN
ap-8601	396	23	as	as	SCONJ
ap-8601	396	24	compared	compare	VERB
ap-8601	396	25	to	to	ADP
ap-8601	396	26	non	non	ADJ
ap-8601	396	27	-	-	ADJ
ap-8601	396	28	porous	porous	ADJ
ap-8601	396	29	discs	disc	NOUN
ap-8601	396	30	,	,	PUNCT
ap-8601	396	31	as	as	ADP
ap-8601	396	32	in	in	ADP
ap-8601	396	33	the	the	DET
ap-8601	396	34	case	case	NOUN
ap-8601	396	35	of	of	ADP
ap-8601	396	36	lin	lin	PROPN
ap-8601	396	37	[	[	X
ap-8601	396	38	8	8	NUM
ap-8601	396	39	]	]	PUNCT
ap-8601	396	40	.	.	PUNCT
ap-8601	397	1	b	b	X
ap-8601	397	2	)	)	PUNCT
ap-8601	397	3	annular	annular	ADJ
ap-8601	397	4	discs	disc	NOUN
ap-8601	397	5	with	with	ADP
ap-8601	397	6	the	the	DET
ap-8601	397	7	presence	presence	NOUN
ap-8601	397	8	of	of	ADP
ap-8601	397	9	sr	sr	PROPN
ap-8601	397	10	:	:	PUNCT
ap-8601	397	11	the	the	DET
ap-8601	397	12	fp	fp	PROPN
ap-8601	397	13	,	,	PUNCT
ap-8601	397	14	lcc	lcc	PROPN
ap-8601	397	15	,	,	PUNCT
ap-8601	397	16	and	and	CCONJ
ap-8601	397	17	srt	srt	NOUN
ap-8601	397	18	decrease	decrease	NOUN
ap-8601	397	19	as	as	ADP
ap-8601	397	20	compared	compare	VERB
ap-8601	397	21	with	with	ADP
ap-8601	397	22	smooth	smooth	ADJ
ap-8601	397	23	discs	disc	NOUN
ap-8601	397	24	,	,	PUNCT
ap-8601	397	25	as	as	ADP
ap-8601	397	26	in	in	ADP
ap-8601	397	27	the	the	DET
ap-8601	397	28	case	case	NOUN
ap-8601	397	29	of	of	ADP
ap-8601	397	30	lin	lin	PROPN
ap-8601	398	1	[	[	X
ap-8601	398	2	8	8	NUM
ap-8601	398	3	]	]	PUNCT
ap-8601	398	4	.	.	PUNCT
ap-8601	399	1	all	all	DET
ap-8601	399	2	these	these	DET
ap-8601	399	3	characteristics	characteristic	NOUN
ap-8601	399	4	show	show	VERB
ap-8601	399	5	a	a	DET
ap-8601	399	6	lower	low	ADJ
ap-8601	399	7	value	value	NOUN
ap-8601	399	8	for	for	ADP
ap-8601	399	9	radial	radial	ADJ
ap-8601	399	10	surface	surface	NOUN
ap-8601	399	11	roughness	roughness	NOUN
ap-8601	399	12	(	(	PUNCT
ap-8601	399	13	sr	sr	PROPN
ap-8601	399	14	)	)	PUNCT
ap-8601	399	15	.	.	PUNCT
ap-8601	400	1	c	c	X
ap-8601	400	2	)	)	PUNCT
ap-8601	400	3	annular	annular	ADJ
ap-8601	400	4	discs	disc	NOUN
ap-8601	400	5	with	with	ADP
ap-8601	400	6	rfm	rfm	PROPN
ap-8601	400	7	:	:	PUNCT
ap-8601	400	8	the	the	DET
ap-8601	400	9	performance	performance	NOUN
ap-8601	400	10	of	of	ADP
ap-8601	400	11	annular	annular	ADJ
ap-8601	400	12	discs	disc	NOUN
ap-8601	400	13	is	be	AUX
ap-8601	400	14	better	well	ADJ
ap-8601	400	15	for	for	ADP
ap-8601	400	16	dilatant	dilatant	ADJ
ap-8601	400	17	fluids	fluid	NOUN
ap-8601	400	18	and	and	CCONJ
ap-8601	400	19	lower	low	ADJ
ap-8601	400	20	for	for	ADP
ap-8601	400	21	pseudoplastic	pseudoplastic	ADJ
ap-8601	400	22	fluids	fluid	NOUN
ap-8601	400	23	as	as	SCONJ
ap-8601	400	24	compared	compare	VERB
ap-8601	400	25	to	to	ADP
ap-8601	400	26	nf	nf	INTJ
ap-8601	400	27	.	.	PUNCT
ap-8601	401	1	d	d	X
ap-8601	401	2	)	)	PUNCT
ap-8601	401	3	a	a	DET
ap-8601	401	4	radial	radial	ADJ
ap-8601	401	5	roughness	roughness	NOUN
ap-8601	401	6	pattern	pattern	NOUN
ap-8601	401	7	on	on	ADP
ap-8601	401	8	the	the	DET
ap-8601	401	9	porous	porous	ADJ
ap-8601	401	10	surface	surface	NOUN
ap-8601	401	11	of	of	ADP
ap-8601	401	12	an	an	DET
ap-8601	401	13	annular	annular	ADJ
ap-8601	401	14	disc	disc	NOUN
ap-8601	401	15	can	can	AUX
ap-8601	401	16	promote	promote	VERB
ap-8601	401	17	better	well	ADJ
ap-8601	401	18	fluid	fluid	ADJ
ap-8601	401	19	mixing	mixing	NOUN
ap-8601	401	20	and	and	CCONJ
ap-8601	401	21	increase	increase	VERB
ap-8601	401	22	heat	heat	NOUN
ap-8601	401	23	transfer	transfer	NOUN
ap-8601	401	24	efficiency	efficiency	NOUN
ap-8601	401	25	.	.	PUNCT
ap-8601	402	1	radial	radial	ADJ
ap-8601	402	2	roughness	roughness	NOUN
ap-8601	402	3	,	,	PUNCT
ap-8601	402	4	on	on	ADP
ap-8601	402	5	the	the	DET
ap-8601	402	6	other	other	ADJ
ap-8601	402	7	hand	hand	NOUN
ap-8601	402	8	,	,	PUNCT
ap-8601	402	9	can	can	AUX
ap-8601	402	10	cause	cause	VERB
ap-8601	402	11	higher	high	ADJ
ap-8601	402	12	pressure	pressure	NOUN
ap-8601	402	13	drop	drop	NOUN
ap-8601	402	14	and	and	CCONJ
ap-8601	402	15	increased	increase	VERB
ap-8601	402	16	flow	flow	NOUN
ap-8601	402	17	resistance	resistance	NOUN
ap-8601	402	18	,	,	PUNCT
ap-8601	402	19	which	which	PRON
ap-8601	402	20	can	can	AUX
ap-8601	402	21	be	be	AUX
ap-8601	402	22	a	a	DET
ap-8601	402	23	disadvantage	disadvantage	NOUN
ap-8601	402	24	in	in	ADP
ap-8601	402	25	certain	certain	ADJ
ap-8601	402	26	applications	application	NOUN
ap-8601	402	27	where	where	SCONJ
ap-8601	402	28	energy	energy	NOUN
ap-8601	402	29	efficiency	efficiency	NOUN
ap-8601	402	30	and	and	CCONJ
ap-8601	402	31	low	low	ADJ
ap-8601	402	32	-	-	PUNCT
ap-8601	402	33	pressure	pressure	NOUN
ap-8601	402	34	losses	loss	NOUN
ap-8601	402	35	are	be	AUX
ap-8601	402	36	critical	critical	ADJ
ap-8601	402	37	.	.	PUNCT
ap-8601	403	1	e	e	X
ap-8601	403	2	)	)	PUNCT
ap-8601	403	3	an	an	DET
ap-8601	403	4	annular	annular	ADJ
ap-8601	403	5	disc	disc	NOUN
ap-8601	403	6	’s	’s	PART
ap-8601	403	7	circumferential	circumferential	ADJ
ap-8601	403	8	azimuthal	azimuthal	NOUN
ap-8601	403	9	roughness	roughness	NOUN
ap-8601	403	10	pattern	pattern	NOUN
ap-8601	403	11	can	can	AUX
ap-8601	403	12	influence	influence	VERB
ap-8601	403	13	the	the	DET
ap-8601	403	14	flow	flow	NOUN
ap-8601	403	15	of	of	ADP
ap-8601	403	16	fluid	fluid	NOUN
ap-8601	403	17	in	in	ADP
ap-8601	403	18	one	one	NUM
ap-8601	403	19	direction	direction	NOUN
ap-8601	403	20	,	,	PUNCT
ap-8601	403	21	the	the	DET
ap-8601	403	22	amount	amount	NOUN
ap-8601	403	23	of	of	ADP
ap-8601	403	24	turbulence	turbulence	NOUN
ap-8601	403	25	present	present	ADJ
ap-8601	403	26	inside	inside	ADP
ap-8601	403	27	the	the	DET
ap-8601	403	28	disc	disc	NOUN
ap-8601	403	29	,	,	PUNCT
ap-8601	403	30	and	and	CCONJ
ap-8601	403	31	the	the	DET
ap-8601	403	32	flow	flow	NOUN
ap-8601	403	33	velocity	velocity	NOUN
ap-8601	403	34	in	in	ADP
ap-8601	403	35	various	various	ADJ
ap-8601	403	36	annular	annular	ADJ
ap-8601	403	37	disc	disc	NOUN
ap-8601	403	38	sections	section	NOUN
ap-8601	403	39	.	.	PUNCT
ap-8601	404	1	6	6	X
ap-8601	404	2	.	.	X
ap-8601	404	3	future	future	ADJ
ap-8601	404	4	research	research	NOUN
ap-8601	404	5	in	in	ADP
ap-8601	404	6	conclusion	conclusion	NOUN
ap-8601	404	7	,	,	PUNCT
ap-8601	404	8	the	the	DET
ap-8601	404	9	study	study	NOUN
ap-8601	404	10	of	of	ADP
ap-8601	404	11	porous	porous	ADJ
ap-8601	404	12	roughness	roughness	NOUN
ap-8601	404	13	annular	annular	ADJ
ap-8601	404	14	discs	disc	NOUN
ap-8601	404	15	is	be	AUX
ap-8601	404	16	an	an	DET
ap-8601	404	17	important	important	ADJ
ap-8601	404	18	are	be	AUX
ap-8601	404	19	of	of	ADP
ap-8601	404	20	research	research	NOUN
ap-8601	404	21	with	with	ADP
ap-8601	404	22	several	several	ADJ
ap-8601	404	23	applications	application	NOUN
ap-8601	404	24	in	in	ADP
ap-8601	404	25	fluid	fluid	ADJ
ap-8601	404	26	dynamics	dynamic	NOUN
ap-8601	404	27	,	,	PUNCT
ap-8601	404	28	materials	material	NOUN
ap-8601	404	29	science	science	NOUN
ap-8601	404	30	,	,	PUNCT
ap-8601	404	31	and	and	CCONJ
ap-8601	404	32	engineering	engineering	NOUN
ap-8601	404	33	.	.	PUNCT
ap-8601	405	1	several	several	ADJ
ap-8601	405	2	promising	promising	ADJ
ap-8601	405	3	directions	direction	NOUN
ap-8601	405	4	stand	stand	VERB
ap-8601	405	5	out	out	ADP
ap-8601	405	6	as	as	ADP
ap-8601	405	7	having	have	VERB
ap-8601	405	8	high	high	ADJ
ap-8601	405	9	potential	potential	NOUN
ap-8601	405	10	for	for	ADP
ap-8601	405	11	future	future	ADJ
ap-8601	405	12	research	research	NOUN
ap-8601	405	13	in	in	ADP
ap-8601	405	14	this	this	DET
ap-8601	405	15	area	area	NOUN
ap-8601	405	16	,	,	PUNCT
ap-8601	405	17	including	include	VERB
ap-8601	405	18	advanced	advanced	ADJ
ap-8601	405	19	materials	material	NOUN
ap-8601	405	20	and	and	CCONJ
ap-8601	405	21	fabrication	fabrication	NOUN
ap-8601	405	22	techniques	technique	NOUN
ap-8601	405	23	,	,	PUNCT
ap-8601	405	24	optimisation	optimisation	NOUN
ap-8601	405	25	of	of	ADP
ap-8601	405	26	porous	porous	ADJ
ap-8601	405	27	structure	structure	NOUN
ap-8601	405	28	,	,	PUNCT
ap-8601	405	29	numerical	numerical	ADJ
ap-8601	405	30	modelling	modelling	NOUN
ap-8601	405	31	,	,	PUNCT
ap-8601	405	32	and	and	CCONJ
ap-8601	405	33	simulation	simulation	NOUN
ap-8601	405	34	,	,	PUNCT
ap-8601	405	35	applications	application	NOUN
ap-8601	405	36	in	in	ADP
ap-8601	405	37	energy	energy	NOUN
ap-8601	405	38	and	and	CCONJ
ap-8601	405	39	environmental	environmental	ADJ
ap-8601	405	40	engineering	engineering	NOUN
ap-8601	405	41	,	,	PUNCT
ap-8601	405	42	surface	surface	NOUN
ap-8601	405	43	modification	modification	NOUN
ap-8601	405	44	techniques	technique	NOUN
ap-8601	405	45	,	,	PUNCT
ap-8601	405	46	data	data	NOUN
ap-8601	405	47	-	-	PUNCT
ap-8601	405	48	driven	drive	VERB
ap-8601	405	49	approaches	approach	NOUN
ap-8601	405	50	,	,	PUNCT
ap-8601	405	51	etc	etc	X
ap-8601	405	52	.	.	X
ap-8601	406	1	we	we	PRON
ap-8601	406	2	can	can	AUX
ap-8601	406	3	learn	learn	VERB
ap-8601	406	4	much	much	ADV
ap-8601	406	5	more	more	ADJ
ap-8601	406	6	about	about	ADP
ap-8601	406	7	porous	porous	ADJ
ap-8601	406	8	roughness	roughness	NOUN
ap-8601	406	9	annular	annular	ADJ
ap-8601	406	10	discs	disc	NOUN
ap-8601	406	11	and	and	CCONJ
ap-8601	406	12	unlock	unlock	VERB
ap-8601	406	13	their	their	PRON
ap-8601	406	14	potential	potential	NOUN
ap-8601	406	15	to	to	PART
ap-8601	406	16	solve	solve	VERB
ap-8601	406	17	challenging	challenging	ADJ
ap-8601	406	18	problems	problem	NOUN
ap-8601	406	19	across	across	ADP
ap-8601	406	20	a	a	DET
ap-8601	406	21	range	range	NOUN
ap-8601	406	22	of	of	ADP
ap-8601	406	23	industries	industry	NOUN
ap-8601	406	24	by	by	ADP
ap-8601	406	25	incorporating	incorporate	VERB
ap-8601	406	26	these	these	DET
ap-8601	406	27	research	research	NOUN
ap-8601	406	28	directions	direction	NOUN
ap-8601	406	29	.	.	PUNCT
ap-8601	407	1	researchers	researcher	NOUN
ap-8601	407	2	can	can	AUX
ap-8601	407	3	help	help	VERB
ap-8601	407	4	make	make	VERB
ap-8601	407	5	future	future	ADJ
ap-8601	407	6	engineering	engineering	NOUN
ap-8601	407	7	solutions	solution	NOUN
ap-8601	407	8	more	more	ADV
ap-8601	407	9	effective	effective	ADJ
ap-8601	407	10	and	and	CCONJ
ap-8601	407	11	sustainable	sustainable	ADJ
ap-8601	407	12	by	by	ADP
ap-8601	407	13	improving	improve	VERB
ap-8601	407	14	their	their	PRON
ap-8601	407	15	design	design	NOUN
ap-8601	407	16	,	,	PUNCT
ap-8601	407	17	performance	performance	NOUN
ap-8601	407	18	,	,	PUNCT
ap-8601	407	19	and	and	CCONJ
ap-8601	407	20	applications	application	NOUN
ap-8601	407	21	.	.	PUNCT
ap-8601	408	1	list	list	NOUN
ap-8601	408	2	of	of	ADP
ap-8601	408	3	symbols	symbol	NOUN
ap-8601	408	4	acronyms	acronym	VERB
ap-8601	408	5	fp	fp	X
ap-8601	408	6	film	film	NOUN
ap-8601	408	7	pressure	pressure	NOUN
ap-8601	408	8	nf	nf	X
ap-8601	408	9	newtonian	newtonian	ADJ
ap-8601	408	10	fluids	fluid	NOUN
ap-8601	408	11	nlre	nlre	DET
ap-8601	408	12	non	non	ADJ
ap-8601	408	13	-	-	ADJ
ap-8601	408	14	linear	linear	ADJ
ap-8601	408	15	reynolds	reynold	NOUN
ap-8601	408	16	equation	equation	NOUN
ap-8601	408	17	nnf	nnf	PRON
ap-8601	408	18	non	non	ADJ
ap-8601	408	19	-	-	ADJ
ap-8601	408	20	newtonian	newtonian	ADJ
ap-8601	408	21	fluids	fluid	NOUN
ap-8601	408	22	rfm	rfm	PROPN
ap-8601	408	23	rabinowitsch	rabinowitsch	PROPN
ap-8601	408	24	fluid	fluid	PROPN
ap-8601	408	25	model	model	NOUN
ap-8601	408	26	sf	sf	PROPN
ap-8601	408	27	squeeze	squeeze	NOUN
ap-8601	408	28	film	film	NOUN
ap-8601	408	29	sr	sr	PROPN
ap-8601	408	30	surface	surface	PROPN
ap-8601	408	31	roughness	roughness	PROPN
ap-8601	408	32	srt	srt	NOUN
ap-8601	408	33	squeeze	squeeze	NOUN
ap-8601	408	34	response	response	NOUN
ap-8601	408	35	time	time	NOUN
ap-8601	408	36	symbols	symbols	PROPN
ap-8601	408	37	r̂1	r̂1	PROPN
ap-8601	408	38	,	,	PUNCT
ap-8601	408	39	r̂2	r̂2	NOUN
ap-8601	408	40	the	the	DET
ap-8601	408	41	outer	outer	ADJ
ap-8601	408	42	/	/	SYM
ap-8601	408	43	inner	inner	ADJ
ap-8601	408	44	radius	radius	NOUN
ap-8601	408	45	of	of	ADP
ap-8601	408	46	annular	annular	ADJ
ap-8601	408	47	discs	disc	NOUN
ap-8601	409	1	[	[	X
ap-8601	409	2	m	m	X
ap-8601	409	3	]	]	X
ap-8601	409	4	ω	ω	NUM
ap-8601	409	5	the	the	DET
ap-8601	409	6	ratio	ratio	NOUN
ap-8601	409	7	of	of	ADP
ap-8601	409	8	inner	inner	ADJ
ap-8601	409	9	and	and	CCONJ
ap-8601	409	10	outer	outer	ADJ
ap-8601	409	11	radius	radius	NOUN
ap-8601	409	12	,	,	PUNCT
ap-8601	409	13	ω	ω	PROPN
ap-8601	409	14	=	=	SYM
ap-8601	409	15	r̂1	r̂1	PROPN
ap-8601	409	16	/	/	SYM
ap-8601	409	17	r̂2	r̂2	PRON
ap-8601	410	1	[	[	X
ap-8601	410	2	–	–	X
ap-8601	410	3	]	]	X
ap-8601	410	4	ĥ0	ĥ0	NOUN
ap-8601	410	5	,	,	PUNCT
ap-8601	410	6	ĥ1	ĥ1	PRON
ap-8601	410	7	inlet	inlet	NOUN
ap-8601	410	8	/	/	SYM
ap-8601	410	9	outlet	outlet	NOUN
ap-8601	410	10	film	film	NOUN
ap-8601	410	11	thickness	thickness	NOUN
ap-8601	411	1	[	[	X
ap-8601	411	2	m	m	X
ap-8601	411	3	]	]	X
ap-8601	411	4	h	h	NOUN
ap-8601	411	5	nominal	nominal	ADJ
ap-8601	411	6	film	film	NOUN
ap-8601	411	7	height	height	NOUN
ap-8601	412	1	[	[	X
ap-8601	412	2	m	m	X
ap-8601	412	3	]	]	X
ap-8601	412	4	ĥ	ĥ	PROPN
ap-8601	412	5	,	,	PUNCT
ap-8601	412	6	h∗	h∗	NOUN
ap-8601	412	7	film	film	NOUN
ap-8601	412	8	thickness	thickness	NOUN
ap-8601	412	9	(	(	PUNCT
ap-8601	412	10	ĥ	ĥ	PROPN
ap-8601	412	11	=	=	SYM
ap-8601	412	12	h+	h+	X
ap-8601	412	13	hs	hs	PROPN
ap-8601	412	14	)	)	PUNCT
ap-8601	412	15	,	,	PUNCT
ap-8601	412	16	h∗	h∗	PROPN
ap-8601	412	17	=	=	SYM
ap-8601	412	18	ĥ/ĥ0	ĥ/ĥ0	X
ap-8601	413	1	[	[	X
ap-8601	413	2	m	m	X
ap-8601	413	3	]	]	X
ap-8601	413	4	hs	hs	X
ap-8601	413	5	film	film	NOUN
ap-8601	413	6	height	height	NOUN
ap-8601	413	7	deviation	deviation	NOUN
ap-8601	413	8	from	from	ADP
ap-8601	413	9	the	the	DET
ap-8601	413	10	nominal	nominal	ADJ
ap-8601	413	11	level	level	NOUN
ap-8601	413	12	[	[	X
ap-8601	413	13	m	m	X
ap-8601	413	14	]	]	X
ap-8601	413	15	e	e	X
ap-8601	413	16	(	(	PUNCT
ap-8601	413	17	·	·	PUNCT
ap-8601	413	18	)	)	PUNCT
ap-8601	413	19	expected	expect	VERB
ap-8601	413	20	value	value	NOUN
ap-8601	413	21	[	[	X
ap-8601	413	22	–	–	PUNCT
ap-8601	413	23	]	]	X
ap-8601	413	24	c	c	X
ap-8601	413	25	,	,	PUNCT
ap-8601	413	26	c∗	c∗	VERB
ap-8601	413	27	the	the	DET
ap-8601	413	28	greatest	great	ADJ
ap-8601	413	29	asperity	asperity	NOUN
ap-8601	413	30	variation	variation	NOUN
ap-8601	413	31	from	from	ADP
ap-8601	413	32	the	the	DET
ap-8601	413	33	nominal	nominal	ADJ
ap-8601	413	34	height	height	NOUN
ap-8601	413	35	,	,	PUNCT
ap-8601	413	36	c∗	c∗	NOUN
ap-8601	413	37	=	=	SYM
ap-8601	413	38	c	c	X
ap-8601	413	39	/	/	SYM
ap-8601	413	40	ĥ0	ĥ0	PUNCT
ap-8601	414	1	[	[	X
ap-8601	414	2	–	–	PUNCT
ap-8601	414	3	]	]	X
ap-8601	414	4	dĥ/dt̂	dĥ/dt̂	NOUN
ap-8601	414	5	squeeze	squeeze	NOUN
ap-8601	414	6	velocity	velocity	NOUN
ap-8601	415	1	[	[	X
ap-8601	415	2	m	m	NOUN
ap-8601	415	3	s−1	s−1	PROPN
ap-8601	415	4	]	]	X
ap-8601	415	5	448	448	NUM
ap-8601	415	6	vol	vol	NOUN
ap-8601	415	7	.	.	PUNCT
ap-8601	416	1	63	63	NUM
ap-8601	416	2	no	no	NOUN
ap-8601	416	3	.	.	PUNCT
ap-8601	417	1	6/2023	6/2023	NUM
ap-8601	417	2	squeeze	squeeze	NOUN
ap-8601	417	3	film	film	NOUN
ap-8601	417	4	lubrication	lubrication	NOUN
ap-8601	417	5	between	between	ADP
ap-8601	417	6	rough	rough	ADJ
ap-8601	417	7	porous	porous	ADJ
ap-8601	417	8	annular	annular	ADJ
ap-8601	417	9	discs	disc	NOUN
ap-8601	417	10	r̂	r̂	NOUN
ap-8601	417	11	,	,	PUNCT
ap-8601	417	12	ẑ	ẑ	NUM
ap-8601	417	13	,	,	PUNCT
ap-8601	417	14	r∗	r∗	PROPN
ap-8601	417	15	coordinates	coordinate	NOUN
ap-8601	417	16	of	of	ADP
ap-8601	417	17	discs	disc	NOUN
ap-8601	417	18	,	,	PUNCT
ap-8601	417	19	r∗	r∗	NOUN
ap-8601	417	20	=	=	PUNCT
ap-8601	417	21	r̂/r̂2	r̂/r̂2	X
ap-8601	418	1	[	[	X
ap-8601	418	2	–	–	PUNCT
ap-8601	418	3	]	]	PUNCT
ap-8601	418	4	ŵprs	ŵprs	ADP
ap-8601	418	5	through	through	NOUN
ap-8601	418	6	-	-	PUNCT
ap-8601	418	7	flow	flow	NOUN
ap-8601	418	8	velocity	velocity	NOUN
ap-8601	418	9	on	on	ADP
ap-8601	418	10	the	the	DET
ap-8601	418	11	upper	upper	ADJ
ap-8601	418	12	boundary	boundary	NOUN
ap-8601	418	13	of	of	ADP
ap-8601	418	14	the	the	DET
ap-8601	418	15	porous	porous	ADJ
ap-8601	418	16	layer	layer	NOUN
ap-8601	419	1	[	[	X
ap-8601	419	2	m	m	NOUN
ap-8601	419	3	s−1	s−1	PROPN
ap-8601	419	4	]	]	PUNCT
ap-8601	419	5	û	û	NUM
ap-8601	419	6	,	,	PUNCT
ap-8601	419	7	ŵ	ŵ	NUM
ap-8601	419	8	velocity	velocity	NOUN
ap-8601	419	9	components	component	NOUN
ap-8601	419	10	in	in	ADP
ap-8601	419	11	r̂	r̂	NOUN
ap-8601	419	12	and	and	CCONJ
ap-8601	419	13	ẑ	ẑ	NUM
ap-8601	419	14	directions	direction	NOUN
ap-8601	419	15	[	[	X
ap-8601	419	16	m	m	NOUN
ap-8601	419	17	s−1	s−1	NOUN
ap-8601	419	18	]	]	PUNCT
ap-8601	419	19	ûp	ûp	NOUN
ap-8601	419	20	,	,	PUNCT
ap-8601	419	21	ŵp	ŵp	VERB
ap-8601	419	22	axial	axial	ADJ
ap-8601	419	23	and	and	CCONJ
ap-8601	419	24	radial	radial	ADJ
ap-8601	419	25	velocity	velocity	NOUN
ap-8601	419	26	component	component	NOUN
ap-8601	419	27	of	of	ADP
ap-8601	419	28	the	the	DET
ap-8601	419	29	porous	porous	ADJ
ap-8601	419	30	region	region	NOUN
ap-8601	419	31	.	.	PUNCT
ap-8601	420	1	[	[	X
ap-8601	420	2	m	m	NOUN
ap-8601	420	3	s−1	s−1	PROPN
ap-8601	420	4	]	]	PUNCT
ap-8601	420	5	ĥ0	ĥ0	PROPN
ap-8601	420	6	,	,	PUNCT
ap-8601	420	7	h	h	NOUN
ap-8601	420	8	∗	∗	NOUN
ap-8601	420	9	0	0	NUM
ap-8601	420	10	porous	porous	ADJ
ap-8601	420	11	pad	pad	NOUN
ap-8601	420	12	thickness	thickness	NOUN
ap-8601	420	13	,	,	PUNCT
ap-8601	420	14	h∗	h∗	NOUN
ap-8601	420	15	0	0	NUM
ap-8601	420	16	=	=	SYM
ap-8601	420	17	ϕ̂ĥ0	ϕ̂ĥ0	PROPN
ap-8601	420	18	/	/	SYM
ap-8601	420	19	ĥ0	ĥ0	PROPN
ap-8601	421	1	[	[	X
ap-8601	421	2	m	m	X
ap-8601	421	3	]	]	X
ap-8601	421	4	r̂0	r̂0	NOUN
ap-8601	421	5	,	,	PUNCT
ap-8601	421	6	r	r	NOUN
ap-8601	421	7	∗	∗	NOUN
ap-8601	421	8	0	0	NUM
ap-8601	421	9	porous	porous	ADJ
ap-8601	421	10	pad	pad	NOUN
ap-8601	421	11	thickness	thickness	NOUN
ap-8601	421	12	,	,	PUNCT
ap-8601	421	13	h∗	h∗	NOUN
ap-8601	421	14	0	0	NUM
ap-8601	421	15	=	=	SYM
ap-8601	421	16	ϕ̂r̂0	ϕ̂r̂0	PROPN
ap-8601	421	17	/	/	SYM
ap-8601	421	18	ĥ0	ĥ0	NOUN
ap-8601	422	1	[	[	X
ap-8601	422	2	m	m	X
ap-8601	422	3	]	]	X
ap-8601	422	4	p	p	X
ap-8601	422	5	film	film	NOUN
ap-8601	422	6	pressure	pressure	NOUN
ap-8601	422	7	in	in	ADP
ap-8601	422	8	the	the	DET
ap-8601	422	9	porous	porous	ADJ
ap-8601	422	10	region	region	NOUN
ap-8601	422	11	[	[	X
ap-8601	422	12	pa	pa	X
ap-8601	422	13	]	]	X
ap-8601	422	14	p	p	X
ap-8601	422	15	,	,	PUNCT
ap-8601	422	16	p	p	NOUN
ap-8601	422	17	∗	∗	NOUN
ap-8601	422	18	squeeze	squeeze	NOUN
ap-8601	422	19	film	film	NOUN
ap-8601	422	20	pressure	pressure	NOUN
ap-8601	422	21	,	,	PUNCT
ap-8601	422	22	p	p	NOUN
ap-8601	422	23	∗	∗	NOUN
ap-8601	422	24	=	=	PUNCT
ap-8601	422	25	pĥ3	pĥ3	NOUN
ap-8601	422	26	0/µ̂0r̂2	0/µ̂0r̂2	NUM
ap-8601	422	27	2(−∂ĥ/∂t̂	2(−∂ĥ/∂t̂	NUM
ap-8601	422	28	)	)	PUNCT
ap-8601	423	1	[	[	X
ap-8601	423	2	pa	pa	X
ap-8601	423	3	]	]	X
ap-8601	423	4	w	w	PROPN
ap-8601	423	5	,	,	PUNCT
ap-8601	423	6	w	w	PROPN
ap-8601	423	7	∗	∗	NOUN
ap-8601	423	8	load	load	NOUN
ap-8601	423	9	-	-	PUNCT
ap-8601	423	10	carrying	carry	VERB
ap-8601	423	11	capacity	capacity	NOUN
ap-8601	423	12	,	,	PUNCT
ap-8601	423	13	w	w	NOUN
ap-8601	423	14	∗	∗	NOUN
ap-8601	423	15	=	=	SYM
ap-8601	423	16	w	w	PROPN
ap-8601	423	17	ĥ3	ĥ3	NOUN
ap-8601	423	18	0/µ̂0r̂4	0/µ̂0r̂4	NUM
ap-8601	423	19	2(−∂ĥ/∂t̂	2(−∂ĥ/∂t̂	NUM
ap-8601	423	20	)	)	PUNCT
ap-8601	424	1	[	[	X
ap-8601	424	2	n	n	X
ap-8601	424	3	]	]	X
ap-8601	424	4	w	w	NOUN
ap-8601	424	5	,	,	PUNCT
ap-8601	424	6	w	w	NOUN
ap-8601	424	7	∗	∗	NOUN
ap-8601	424	8	squeeze	squeeze	NOUN
ap-8601	424	9	response	response	NOUN
ap-8601	424	10	time	time	NOUN
ap-8601	424	11	,	,	PUNCT
ap-8601	424	12	t∗	t∗	NOUN
ap-8601	424	13	=	=	SYM
ap-8601	424	14	wĥ2	wĥ2	PROPN
ap-8601	424	15	0t̂/µ̂0r̂	0t̂/µ̂0r̂	NOUN
ap-8601	424	16	4	4	NUM
ap-8601	424	17	2	2	NUM
ap-8601	425	1	[	[	X
ap-8601	425	2	s	s	X
ap-8601	425	3	]	]	X
ap-8601	425	4	µ̂	µ̂	DET
ap-8601	425	5	dynamic	dynamic	ADJ
ap-8601	425	6	viscosity	viscosity	NOUN
ap-8601	425	7	of	of	ADP
ap-8601	425	8	the	the	DET
ap-8601	425	9	nnf	nnf	NOUN
ap-8601	425	10	[	[	X
ap-8601	425	11	po	po	X
ap-8601	425	12	]	]	X
ap-8601	425	13	τr̂ẑ	τr̂ẑ	PROPN
ap-8601	425	14	element	element	NOUN
ap-8601	425	15	of	of	ADP
ap-8601	425	16	the	the	DET
ap-8601	425	17	stress	stress	NOUN
ap-8601	425	18	tensor	tensor	NOUN
ap-8601	425	19	[	[	X
ap-8601	425	20	pa	pa	X
ap-8601	425	21	]	]	PUNCT
ap-8601	425	22	ψ̂	ψ̂	ADP
ap-8601	425	23	permeability	permeability	NOUN
ap-8601	425	24	of	of	ADP
ap-8601	425	25	the	the	DET
ap-8601	425	26	porous	porous	ADJ
ap-8601	425	27	region	region	NOUN
ap-8601	426	1	[	[	X
ap-8601	426	2	m2	m2	X
ap-8601	426	3	]	]	PUNCT
ap-8601	426	4	µ̂	µ̂	DET
ap-8601	426	5	coefficient	coefficient	NOUN
ap-8601	426	6	of	of	ADP
ap-8601	426	7	porosity	porosity	NOUN
ap-8601	426	8	[	[	X
ap-8601	426	9	pu	pu	X
ap-8601	426	10	]	]	X
ap-8601	426	11	ϕ̂	ϕ̂	X
ap-8601	426	12	dynamic	dynamic	ADJ
ap-8601	426	13	viscosity	viscosity	NOUN
ap-8601	426	14	of	of	ADP
ap-8601	426	15	the	the	DET
ap-8601	426	16	nnf	nnf	NOUN
ap-8601	426	17	[	[	X
ap-8601	426	18	po	po	X
ap-8601	426	19	]	]	X
ap-8601	426	20	κ	κ	X
ap-8601	426	21	nonlinear	nonlinear	ADJ
ap-8601	426	22	factor	factor	NOUN
ap-8601	426	23	accounting	account	VERB
ap-8601	426	24	for	for	ADP
ap-8601	426	25	the	the	DET
ap-8601	426	26	rabinowitsch	rabinowitsch	ADJ
ap-8601	426	27	fluid	fluid	ADJ
ap-8601	426	28	model	model	NOUN
ap-8601	426	29	[	[	X
ap-8601	426	30	–	–	PUNCT
ap-8601	426	31	]	]	X
ap-8601	426	32	ω	ω	NUM
ap-8601	426	33	dimensionless	dimensionless	ADJ
ap-8601	426	34	non	non	ADJ
ap-8601	426	35	-	-	ADJ
ap-8601	426	36	linear	linear	ADJ
ap-8601	426	37	factor	factor	NOUN
ap-8601	426	38	,	,	PUNCT
ap-8601	426	39	ω	ω	PROPN
ap-8601	426	40	=	=	SYM
ap-8601	426	41	κµ̂2	κµ̂2	PROPN
ap-8601	426	42	0r̂2	0r̂2	NUM
ap-8601	426	43	2(−∂ĥ/∂t̂)/ĥ4	2(−∂ĥ/∂t̂)/ĥ4	NOUN
ap-8601	426	44	0	0	PUNCT
ap-8601	427	1	[	[	X
ap-8601	427	2	–	–	PUNCT
ap-8601	427	3	]	]	PUNCT
ap-8601	427	4	θ	θ	PROPN
ap-8601	427	5	circumferential	circumferential	ADJ
ap-8601	427	6	co	co	NOUN
ap-8601	427	7	-	-	NOUN
ap-8601	427	8	ordinate	ordinate	NOUN
ap-8601	427	9	[	[	X
ap-8601	427	10	°	°	X
ap-8601	427	11	]	]	X
ap-8601	427	12	ξ	ξ	PRON
ap-8601	427	13	random	random	ADJ
ap-8601	427	14	variable	variable	NOUN
ap-8601	427	15	for	for	ADP
ap-8601	427	16	surface	surface	NOUN
ap-8601	427	17	roughness	roughness	NOUN
ap-8601	427	18	[	[	X
ap-8601	427	19	–	–	PUNCT
ap-8601	427	20	]	]	PUNCT
ap-8601	427	21	references	reference	NOUN
ap-8601	427	22	[	[	X
ap-8601	427	23	1	1	NUM
ap-8601	427	24	]	]	PUNCT
ap-8601	427	25	c.	c.	PROPN
ap-8601	427	26	allen	allen	PROPN
ap-8601	427	27	,	,	PUNCT
ap-8601	427	28	a.	a.	PROPN
ap-8601	427	29	mckillop	mckillop	PROPN
ap-8601	427	30	.	.	PUNCT
ap-8601	428	1	an	an	DET
ap-8601	428	2	investigation	investigation	NOUN
ap-8601	428	3	of	of	ADP
ap-8601	428	4	the	the	DET
ap-8601	428	5	squeeze	squeeze	NOUN
ap-8601	428	6	film	film	NOUN
ap-8601	428	7	between	between	ADP
ap-8601	428	8	rotating	rotate	VERB
ap-8601	428	9	annuli	annulus	NOUN
ap-8601	428	10	.	.	PUNCT
ap-8601	429	1	asme	asme	PROPN
ap-8601	429	2	journal	journal	PROPN
ap-8601	429	3	of	of	ADP
ap-8601	429	4	lubrication	lubrication	NOUN
ap-8601	429	5	technology	technology	NOUN
ap-8601	429	6	92(3):435–441	92(3):435–441	NOUN
ap-8601	429	7	,	,	PUNCT
ap-8601	429	8	1970	1970	NUM
ap-8601	429	9	.	.	PUNCT
ap-8601	430	1	https://doi.org/10.1115/1.3451435	https://doi.org/10.1115/1.3451435	X
ap-8601	431	1	[	[	X
ap-8601	431	2	2	2	NUM
ap-8601	431	3	]	]	X
ap-8601	431	4	n.	n.	PROPN
ap-8601	431	5	naduvinamani	naduvinamani	PROPN
ap-8601	431	6	,	,	PUNCT
ap-8601	431	7	a.	a.	NOUN
ap-8601	431	8	siddangouda	siddangouda	PROPN
ap-8601	431	9	,	,	PUNCT
ap-8601	431	10	a.	a.	NOUN
ap-8601	431	11	kadadi	kadadi	PROPN
ap-8601	431	12	,	,	PUNCT
ap-8601	431	13	s.	s.	PROPN
ap-8601	431	14	biradar	biradar	PROPN
ap-8601	431	15	.	.	PUNCT
ap-8601	432	1	effect	effect	NOUN
ap-8601	432	2	of	of	ADP
ap-8601	432	3	pressure	pressure	NOUN
ap-8601	432	4	dependent	dependent	ADJ
ap-8601	432	5	viscosity	viscosity	NOUN
ap-8601	432	6	on	on	ADP
ap-8601	432	7	squeeze	squeeze	NOUN
ap-8601	432	8	film	film	NOUN
ap-8601	432	9	characteristics	characteristic	NOUN
ap-8601	432	10	of	of	ADP
ap-8601	432	11	micropolar	micropolar	ADJ
ap-8601	432	12	fluid	fluid	NOUN
ap-8601	432	13	in	in	ADP
ap-8601	432	14	convex	convex	ADJ
ap-8601	432	15	curved	curved	ADJ
ap-8601	432	16	plates	plate	NOUN
ap-8601	432	17	.	.	PUNCT
ap-8601	433	1	tribology	tribology	NOUN
ap-8601	433	2	-	-	PUNCT
ap-8601	433	3	materials	material	NOUN
ap-8601	433	4	,	,	PUNCT
ap-8601	433	5	surfaces	surface	NOUN
ap-8601	433	6	&	&	CCONJ
ap-8601	433	7	interfaces	interface	NOUN
ap-8601	433	8	9(3):154–158	9(3):154–158	NUM
ap-8601	433	9	,	,	PUNCT
ap-8601	433	10	2015	2015	NUM
ap-8601	433	11	.	.	PUNCT
ap-8601	434	1	https://doi.org/10.1080/17515831.2015.1107239	https://doi.org/10.1080/17515831.2015.1107239	NOUN
ap-8601	435	1	[	[	X
ap-8601	435	2	3	3	X
ap-8601	435	3	]	]	X
ap-8601	435	4	h.	h.	PROPN
ap-8601	435	5	spikes	spike	VERB
ap-8601	435	6	.	.	PUNCT
ap-8601	436	1	the	the	DET
ap-8601	436	2	behaviour	behaviour	NOUN
ap-8601	436	3	of	of	ADP
ap-8601	436	4	lubricants	lubricant	NOUN
ap-8601	436	5	in	in	ADP
ap-8601	436	6	contacts	contact	NOUN
ap-8601	436	7	:	:	PUNCT
ap-8601	436	8	current	current	ADJ
ap-8601	436	9	understanding	understanding	NOUN
ap-8601	436	10	and	and	CCONJ
ap-8601	436	11	future	future	ADJ
ap-8601	436	12	possibilities	possibility	NOUN
ap-8601	436	13	.	.	PUNCT
ap-8601	437	1	proceedings	proceeding	NOUN
ap-8601	437	2	of	of	ADP
ap-8601	437	3	the	the	DET
ap-8601	437	4	institution	institution	NOUN
ap-8601	437	5	of	of	ADP
ap-8601	437	6	mechanical	mechanical	ADJ
ap-8601	437	7	engineers	engineer	NOUN
ap-8601	437	8	,	,	PUNCT
ap-8601	437	9	part	part	NOUN
ap-8601	437	10	j	j	PROPN
ap-8601	437	11	:	:	PUNCT
ap-8601	437	12	journal	journal	PROPN
ap-8601	437	13	of	of	ADP
ap-8601	437	14	engineering	engineering	PROPN
ap-8601	437	15	tribology	tribology	PROPN
ap-8601	437	16	208(1):3–15	208(1):3–15	NUM
ap-8601	437	17	,	,	PUNCT
ap-8601	437	18	1994	1994	NUM
ap-8601	437	19	.	.	PUNCT
ap-8601	438	1	https	https	NOUN
ap-8601	438	2	:	:	PUNCT
ap-8601	439	1	//doi.org/10.1243	//doi.org/10.1243	PUNCT
ap-8601	439	2	/	/	SYM
ap-8601	439	3	pime_proc_1994_208_345_02	pime_proc_1994_208_345_02	PROPN
ap-8601	439	4	[	[	X
ap-8601	439	5	4	4	NUM
ap-8601	439	6	]	]	PUNCT
ap-8601	439	7	j.	j.	PROPN
ap-8601	439	8	lin	lin	PROPN
ap-8601	439	9	,	,	PUNCT
ap-8601	439	10	c.	c.	PROPN
ap-8601	439	11	hung	hung	PROPN
ap-8601	439	12	.	.	PUNCT
ap-8601	440	1	combined	combine	VERB
ap-8601	440	2	effects	effect	NOUN
ap-8601	440	3	of	of	ADP
ap-8601	440	4	non	non	ADJ
ap-8601	440	5	-	-	ADJ
ap-8601	440	6	newtonian	newtonian	ADJ
ap-8601	440	7	rheology	rheology	NOUN
ap-8601	440	8	and	and	CCONJ
ap-8601	440	9	rotational	rotational	ADJ
ap-8601	440	10	inertia	inertia	NOUN
ap-8601	440	11	on	on	ADP
ap-8601	440	12	the	the	DET
ap-8601	440	13	squeeze	squeeze	NOUN
ap-8601	440	14	film	film	NOUN
ap-8601	440	15	characteristics	characteristic	NOUN
ap-8601	440	16	of	of	ADP
ap-8601	440	17	parallel	parallel	ADJ
ap-8601	440	18	circular	circular	ADJ
ap-8601	440	19	discs	disc	NOUN
ap-8601	440	20	.	.	PUNCT
ap-8601	441	1	proceedings	proceeding	NOUN
ap-8601	441	2	of	of	ADP
ap-8601	441	3	the	the	DET
ap-8601	441	4	institution	institution	NOUN
ap-8601	441	5	of	of	ADP
ap-8601	441	6	mechanical	mechanical	ADJ
ap-8601	441	7	engineers	engineer	NOUN
ap-8601	441	8	,	,	PUNCT
ap-8601	441	9	part	part	NOUN
ap-8601	441	10	j	j	PROPN
ap-8601	441	11	:	:	PUNCT
ap-8601	441	12	journal	journal	PROPN
ap-8601	441	13	of	of	ADP
ap-8601	441	14	engineering	engineering	PROPN
ap-8601	441	15	tribology	tribology	PROPN
ap-8601	441	16	222(4):629–636	222(4):629–636	PROPN
ap-8601	441	17	,	,	PUNCT
ap-8601	441	18	2008	2008	NUM
ap-8601	441	19	.	.	PUNCT
ap-8601	442	1	https://doi.org/10.1243/13506501jet39	https://doi.org/10.1243/13506501jet39	X
ap-8601	443	1	[	[	X
ap-8601	443	2	5	5	NUM
ap-8601	443	3	]	]	X
ap-8601	443	4	y.	y.	PROPN
ap-8601	443	5	wang	wang	PROPN
ap-8601	443	6	,	,	PUNCT
ap-8601	443	7	j.	j.	PROPN
ap-8601	443	8	h.	h.	PROPN
ap-8601	443	9	wu	wu	PROPN
ap-8601	443	10	,	,	PUNCT
ap-8601	443	11	l.	l.	PROPN
ap-8601	443	12	xu	xu	PROPN
ap-8601	443	13	.	.	PUNCT
ap-8601	444	1	influence	influence	NOUN
ap-8601	444	2	of	of	ADP
ap-8601	444	3	power	power	NOUN
ap-8601	444	4	-	-	PUNCT
ap-8601	444	5	law	law	NOUN
ap-8601	444	6	fluid	fluid	NOUN
ap-8601	444	7	on	on	ADP
ap-8601	444	8	transient	transient	ADJ
ap-8601	444	9	performance	performance	NOUN
ap-8601	444	10	of	of	ADP
ap-8601	444	11	liquid	liquid	ADJ
ap-8601	444	12	film	film	NOUN
ap-8601	444	13	seal	seal	NOUN
ap-8601	444	14	based	base	VERB
ap-8601	444	15	on	on	ADP
ap-8601	444	16	the	the	DET
ap-8601	444	17	time	time	NOUN
ap-8601	444	18	-	-	PUNCT
ap-8601	444	19	dependent	dependent	ADJ
ap-8601	444	20	non	non	ADJ
ap-8601	444	21	-	-	ADJ
ap-8601	444	22	newtonian	newtonian	ADJ
ap-8601	444	23	dynamic	dynamic	ADJ
ap-8601	444	24	reynolds	reynold	NOUN
ap-8601	444	25	equation	equation	NOUN
ap-8601	444	26	.	.	PUNCT
ap-8601	445	1	tribology	tribology	PROPN
ap-8601	445	2	international	international	PROPN
ap-8601	445	3	159:106984	159:106984	NUM
ap-8601	445	4	,	,	PUNCT
ap-8601	445	5	2021	2021	NUM
ap-8601	445	6	.	.	PUNCT
ap-8601	446	1	https://doi.org/10.1016/j.triboint.2021.106984	https://doi.org/10.1016/j.triboint.2021.106984	PROPN
ap-8601	446	2	[	[	X
ap-8601	446	3	6	6	X
ap-8601	446	4	]	]	PUNCT
ap-8601	446	5	s.	s.	PROPN
ap-8601	446	6	wada	wada	PROPN
ap-8601	446	7	,	,	PUNCT
ap-8601	446	8	h.	h.	PROPN
ap-8601	446	9	hayashi	hayashi	PROPN
ap-8601	446	10	.	.	PUNCT
ap-8601	447	1	hydrodynamic	hydrodynamic	ADJ
ap-8601	447	2	lubrication	lubrication	NOUN
ap-8601	447	3	of	of	ADP
ap-8601	447	4	journal	journal	ADJ
ap-8601	447	5	bearings	bearing	NOUN
ap-8601	447	6	by	by	ADP
ap-8601	447	7	pseudo	pseudo	NOUN
ap-8601	447	8	-	-	ADJ
ap-8601	447	9	plastic	plastic	ADJ
ap-8601	447	10	lubricants	lubricant	NOUN
ap-8601	447	11	:	:	PUNCT
ap-8601	447	12	part	part	NOUN
ap-8601	447	13	1	1	NUM
ap-8601	447	14	,	,	PUNCT
ap-8601	447	15	theoretical	theoretical	ADJ
ap-8601	447	16	studies	study	NOUN
ap-8601	447	17	.	.	PUNCT
ap-8601	448	1	bulletin	bulletin	NOUN
ap-8601	448	2	of	of	ADP
ap-8601	448	3	jsme	jsme	PROPN
ap-8601	448	4	14(69):268–278	14(69):268–278	NUM
ap-8601	448	5	,	,	PUNCT
ap-8601	448	6	1971	1971	NUM
ap-8601	448	7	.	.	PUNCT
ap-8601	449	1	https://doi.org/10.1299/jsme1958.14.268	https://doi.org/10.1299/jsme1958.14.268	PRON
ap-8601	450	1	[	[	X
ap-8601	450	2	7	7	X
ap-8601	450	3	]	]	PUNCT
ap-8601	450	4	s.	s.	PROPN
ap-8601	450	5	wada	wada	PROPN
ap-8601	450	6	,	,	PUNCT
ap-8601	450	7	h.	h.	PROPN
ap-8601	450	8	hayashi	hayashi	PROPN
ap-8601	450	9	.	.	PUNCT
ap-8601	451	1	hydrodynamic	hydrodynamic	ADJ
ap-8601	451	2	lubrication	lubrication	NOUN
ap-8601	451	3	of	of	ADP
ap-8601	451	4	journal	journal	ADJ
ap-8601	451	5	bearings	bearing	NOUN
ap-8601	451	6	by	by	ADP
ap-8601	451	7	pseudo	pseudo	NOUN
ap-8601	451	8	-	-	ADJ
ap-8601	451	9	plastic	plastic	ADJ
ap-8601	451	10	lubricants	lubricant	NOUN
ap-8601	451	11	:	:	PUNCT
ap-8601	451	12	part	part	NOUN
ap-8601	451	13	2	2	NUM
ap-8601	451	14	,	,	PUNCT
ap-8601	451	15	experimental	experimental	ADJ
ap-8601	451	16	studies	study	NOUN
ap-8601	451	17	.	.	PUNCT
ap-8601	452	1	bulletin	bulletin	NOUN
ap-8601	452	2	of	of	ADP
ap-8601	452	3	jsme	jsme	PROPN
ap-8601	452	4	14(69):279–286	14(69):279–286	NUM
ap-8601	452	5	,	,	PUNCT
ap-8601	452	6	1971	1971	NUM
ap-8601	452	7	.	.	PUNCT
ap-8601	453	1	https://doi.org/10.1299/jsme1958.14.279	https://doi.org/10.1299/jsme1958.14.279	NOUN
ap-8601	453	2	[	[	NOUN
ap-8601	453	3	8	8	NUM
ap-8601	453	4	]	]	X
ap-8601	453	5	j.-r	j.-r	PROPN
ap-8601	453	6	.	.	PUNCT
ap-8601	454	1	lin	lin	PROPN
ap-8601	454	2	.	.	PUNCT
ap-8601	455	1	non	non	ADJ
ap-8601	455	2	-	-	ADJ
ap-8601	455	3	newtonian	newtonian	ADJ
ap-8601	455	4	squeeze	squeeze	NOUN
ap-8601	455	5	film	film	NOUN
ap-8601	455	6	characteristics	characteristic	NOUN
ap-8601	455	7	between	between	ADP
ap-8601	455	8	parallel	parallel	ADJ
ap-8601	455	9	annular	annular	ADJ
ap-8601	455	10	disks	disk	NOUN
ap-8601	455	11	:	:	PUNCT
ap-8601	455	12	rabinowitsch	rabinowitsch	PROPN
ap-8601	455	13	fluid	fluid	ADJ
ap-8601	455	14	model	model	NOUN
ap-8601	455	15	.	.	PUNCT
ap-8601	456	1	tribology	tribology	PROPN
ap-8601	456	2	international	international	PROPN
ap-8601	456	3	52:190–194	52:190–194	NUM
ap-8601	456	4	,	,	PUNCT
ap-8601	456	5	2012	2012	NUM
ap-8601	456	6	.	.	PUNCT
ap-8601	457	1	https://doi.org/10.1016/j.triboint.2012.02.017	https://doi.org/10.1016/j.triboint.2012.02.017	NUM
ap-8601	457	2	[	[	X
ap-8601	457	3	9	9	NUM
ap-8601	457	4	]	]	PUNCT
ap-8601	457	5	a.	a.	NOUN
ap-8601	457	6	siddangouda	siddangouda	PROPN
ap-8601	457	7	,	,	PUNCT
ap-8601	457	8	n.	n.	PROPN
ap-8601	457	9	naduvinamani	naduvinamani	PROPN
ap-8601	457	10	,	,	PUNCT
ap-8601	457	11	s.	s.	PROPN
ap-8601	457	12	siddapur	siddapur	PROPN
ap-8601	457	13	.	.	PUNCT
ap-8601	458	1	effect	effect	NOUN
ap-8601	458	2	of	of	ADP
ap-8601	458	3	surface	surface	NOUN
ap-8601	458	4	roughness	roughness	NOUN
ap-8601	458	5	on	on	ADP
ap-8601	458	6	the	the	DET
ap-8601	458	7	static	static	ADJ
ap-8601	458	8	characteristics	characteristic	NOUN
ap-8601	458	9	of	of	ADP
ap-8601	458	10	inclined	inclined	ADJ
ap-8601	458	11	plane	plane	NOUN
ap-8601	458	12	slider	slider	NOUN
ap-8601	458	13	bearing	bearing	NOUN
ap-8601	458	14	:	:	PUNCT
ap-8601	458	15	rabinowitsch	rabinowitsch	ADJ
ap-8601	458	16	fluid	fluid	ADJ
ap-8601	458	17	model	model	NOUN
ap-8601	458	18	.	.	PUNCT
ap-8601	459	1	tribology	tribology	NOUN
ap-8601	459	2	-	-	PUNCT
ap-8601	459	3	materials	material	NOUN
ap-8601	459	4	,	,	PUNCT
ap-8601	459	5	surfaces	surface	NOUN
ap-8601	459	6	&	&	CCONJ
ap-8601	459	7	interfaces	interface	NOUN
ap-8601	459	8	11(3):125–135	11(3):125–135	NUM
ap-8601	459	9	,	,	PUNCT
ap-8601	459	10	2017	2017	NUM
ap-8601	459	11	.	.	PUNCT
ap-8601	460	1	https://doi.org/10.1080/17515831.2017.1347745	https://doi.org/10.1080/17515831.2017.1347745	PROPN
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ap-8601	461	2	10	10	NUM
ap-8601	461	3	]	]	X
ap-8601	461	4	n.	n.	PROPN
ap-8601	461	5	bujurke	bujurke	PROPN
ap-8601	461	6	,	,	PUNCT
ap-8601	461	7	m.	m.	NOUN
ap-8601	461	8	jagadeeswar	jagadeeswar	PROPN
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ap-8601	461	10	p.	p.	PROPN
ap-8601	461	11	hiremath	hiremath	PROPN
ap-8601	461	12	.	.	PUNCT
ap-8601	462	1	analysis	analysis	NOUN
ap-8601	462	2	of	of	ADP
ap-8601	462	3	normal	normal	ADJ
ap-8601	462	4	stress	stress	NOUN
ap-8601	462	5	effects	effect	NOUN
ap-8601	462	6	in	in	ADP
ap-8601	462	7	a	a	DET
ap-8601	462	8	squeeze	squeeze	NOUN
ap-8601	462	9	film	film	NOUN
ap-8601	462	10	porous	porous	ADJ
ap-8601	462	11	bearing	bearing	NOUN
ap-8601	462	12	.	.	PUNCT
ap-8601	463	1	wear	wear	VERB
ap-8601	463	2	116(2):237–248	116(2):237–248	NUM
ap-8601	463	3	,	,	PUNCT
ap-8601	463	4	1987	1987	NUM
ap-8601	463	5	.	.	PUNCT
ap-8601	464	1	https://doi.org/10.1016/0043-1648(87)90236-5	https://doi.org/10.1016/0043-1648(87)90236-5	PUNCT
ap-8601	464	2	[	[	X
ap-8601	464	3	11	11	NUM
ap-8601	464	4	]	]	X
ap-8601	464	5	v.	v.	CCONJ
ap-8601	464	6	morgan	morgan	PROPN
ap-8601	464	7	,	,	PUNCT
ap-8601	464	8	a.	a.	PROPN
ap-8601	464	9	cameron	cameron	PROPN
ap-8601	464	10	.	.	PUNCT
ap-8601	465	1	mechanism	mechanism	NOUN
ap-8601	465	2	of	of	ADP
ap-8601	465	3	lubrication	lubrication	NOUN
ap-8601	465	4	in	in	ADP
ap-8601	465	5	porous	porous	ADJ
ap-8601	465	6	metal	metal	NOUN
ap-8601	465	7	bearings	bearing	NOUN
ap-8601	465	8	.	.	PUNCT
ap-8601	466	1	in	in	ADP
ap-8601	466	2	international	international	ADJ
ap-8601	466	3	proceeding	proceeding	NOUN
ap-8601	466	4	conference	conference	NOUN
ap-8601	466	5	lubrication	lubrication	NOUN
ap-8601	466	6	and	and	CCONJ
ap-8601	466	7	wear	wear	NOUN
ap-8601	466	8	,	,	PUNCT
ap-8601	466	9	institute	institute	NOUN
ap-8601	466	10	of	of	ADP
ap-8601	466	11	mechanical	mechanical	ADJ
ap-8601	466	12	engineering	engineering	NOUN
ap-8601	466	13	,	,	PUNCT
ap-8601	466	14	vol	vol	NOUN
ap-8601	466	15	.	.	PROPN
ap-8601	466	16	89	89	NUM
ap-8601	466	17	,	,	PUNCT
ap-8601	466	18	pp	pp	ADV
ap-8601	466	19	.	.	PUNCT
ap-8601	467	1	151–157	151–157	NUM
ap-8601	467	2	.	.	PUNCT
ap-8601	467	3	inst	inst	PROPN
ap-8601	467	4	.	.	PROPN
ap-8601	467	5	mech	mech	PROPN
ap-8601	467	6	.	.	PUNCT
ap-8601	468	1	eng	eng	PROPN
ap-8601	468	2	london	london	PROPN
ap-8601	468	3	,	,	PUNCT
ap-8601	468	4	1957	1957	NUM
ap-8601	468	5	.	.	PUNCT
ap-8601	469	1	[	[	X
ap-8601	469	2	12	12	NUM
ap-8601	469	3	]	]	X
ap-8601	469	4	n.	n.	PROPN
ap-8601	469	5	c.	c.	PROPN
ap-8601	469	6	patel	patel	PROPN
ap-8601	469	7	,	,	PUNCT
ap-8601	469	8	j.	j.	PROPN
ap-8601	469	9	r.	r.	PROPN
ap-8601	469	10	patel	patel	PROPN
ap-8601	469	11	,	,	PUNCT
ap-8601	469	12	g.	g.	PROPN
ap-8601	469	13	m.	m.	PROPN
ap-8601	469	14	deheri	deheri	PROPN
ap-8601	469	15	.	.	PUNCT
ap-8601	470	1	a	a	DET
ap-8601	470	2	comparative	comparative	ADJ
ap-8601	470	3	study	study	NOUN
ap-8601	470	4	of	of	ADP
ap-8601	470	5	ferrofluid	ferrofluid	ADJ
ap-8601	470	6	lubrication	lubrication	NOUN
ap-8601	470	7	on	on	ADP
ap-8601	470	8	double	double	ADJ
ap-8601	470	9	-	-	PUNCT
ap-8601	470	10	layer	layer	NOUN
ap-8601	470	11	porous	porous	ADJ
ap-8601	470	12	squeeze	squeeze	NOUN
ap-8601	470	13	curved	curve	VERB
ap-8601	470	14	annular	annular	ADJ
ap-8601	470	15	plates	plate	NOUN
ap-8601	470	16	with	with	ADP
ap-8601	470	17	slip	slip	NOUN
ap-8601	470	18	velocity	velocity	NOUN
ap-8601	470	19	.	.	PUNCT
ap-8601	471	1	acta	acta	PROPN
ap-8601	471	2	polytechnica	polytechnica	PROPN
ap-8601	471	3	62(4):488–497	62(4):488–497	PROPN
ap-8601	471	4	,	,	PUNCT
ap-8601	471	5	2022	2022	NUM
ap-8601	471	6	.	.	PUNCT
ap-8601	472	1	https://doi.org/10.14311/ap.2022.62.0488	https://doi.org/10.14311/ap.2022.62.0488	PUNCT
ap-8601	473	1	[	[	X
ap-8601	473	2	13	13	NUM
ap-8601	473	3	]	]	PUNCT
ap-8601	473	4	m.	m.	NOUN
ap-8601	473	5	bhat	bhat	PROPN
ap-8601	473	6	,	,	PUNCT
ap-8601	473	7	g.	g.	PROPN
ap-8601	473	8	deberi	deberi	PROPN
ap-8601	473	9	.	.	PUNCT
ap-8601	474	1	squeeze	squeeze	NOUN
ap-8601	474	2	film	film	NOUN
ap-8601	474	3	behaviour	behaviour	NOUN
ap-8601	474	4	in	in	ADP
ap-8601	474	5	porous	porous	ADJ
ap-8601	474	6	annular	annular	ADJ
ap-8601	474	7	discs	disc	NOUN
ap-8601	474	8	lubricated	lubricate	VERB
ap-8601	474	9	with	with	ADP
ap-8601	474	10	magnetic	magnetic	ADJ
ap-8601	474	11	fluid	fluid	NOUN
ap-8601	474	12	.	.	PUNCT
ap-8601	475	1	wear	wear	VERB
ap-8601	475	2	151(1):123–128	151(1):123–128	NUM
ap-8601	475	3	,	,	PUNCT
ap-8601	475	4	1991	1991	NUM
ap-8601	475	5	.	.	PUNCT
ap-8601	476	1	https://doi.org/10.1016/0043-1648(91)90352-u	https://doi.org/10.1016/0043-1648(91)90352-u	PROPN
ap-8601	477	1	[	[	X
ap-8601	477	2	14	14	NUM
ap-8601	477	3	]	]	PUNCT
ap-8601	477	4	a.	a.	NOUN
ap-8601	477	5	walicka	walicka	PROPN
ap-8601	477	6	,	,	PUNCT
ap-8601	477	7	e.	e.	PROPN
ap-8601	477	8	walicki	walicki	PROPN
ap-8601	477	9	,	,	PUNCT
ap-8601	477	10	p.	p.	NOUN
ap-8601	477	11	jurczak	jurczak	PROPN
ap-8601	477	12	,	,	PUNCT
ap-8601	477	13	j.	j.	PROPN
ap-8601	477	14	falicki	falicki	PROPN
ap-8601	477	15	.	.	PUNCT
ap-8601	478	1	curvilinear	curvilinear	PROPN
ap-8601	478	2	squeeze	squeeze	NOUN
ap-8601	478	3	film	film	NOUN
ap-8601	478	4	bearing	bear	VERB
ap-8601	478	5	with	with	ADP
ap-8601	478	6	rough	rough	ADJ
ap-8601	478	7	surfaces	surface	NOUN
ap-8601	478	8	lubricated	lubricate	VERB
ap-8601	478	9	by	by	ADP
ap-8601	478	10	a	a	DET
ap-8601	478	11	rabinowitsch	rabinowitsch	ADJ
ap-8601	478	12	–	–	PUNCT
ap-8601	478	13	rotem	rotem	NOUN
ap-8601	478	14	–	–	PUNCT
ap-8601	478	15	shinnar	shinnar	ADJ
ap-8601	478	16	fluid	fluid	NOUN
ap-8601	478	17	.	.	PUNCT
ap-8601	479	1	applied	apply	VERB
ap-8601	479	2	mathematical	mathematical	ADJ
ap-8601	479	3	modelling	model	VERB
ap-8601	479	4	40(17	40(17	NUM
ap-8601	479	5	-	-	PUNCT
ap-8601	479	6	18):7916–7927	18):7916–7927	PROPN
ap-8601	479	7	,	,	PUNCT
ap-8601	479	8	2016	2016	NUM
ap-8601	479	9	.	.	PUNCT
ap-8601	480	1	https://doi.org/10.1016/j.apm.2016.03.048	https://doi.org/10.1016/j.apm.2016.03.048	PROPN
ap-8601	481	1	[	[	X
ap-8601	481	2	15	15	NUM
ap-8601	481	3	]	]	X
ap-8601	481	4	p.	p.	NOUN
ap-8601	481	5	rao	rao	PROPN
ap-8601	481	6	,	,	PUNCT
ap-8601	481	7	a.	a.	NOUN
ap-8601	481	8	rahul	rahul	PROPN
ap-8601	481	9	,	,	PUNCT
ap-8601	481	10	s.	s.	PROPN
ap-8601	481	11	agarwal	agarwal	PROPN
ap-8601	481	12	.	.	PUNCT
ap-8601	482	1	effect	effect	NOUN
ap-8601	482	2	of	of	ADP
ap-8601	482	3	non	non	ADJ
ap-8601	482	4	-	-	ADJ
ap-8601	482	5	newtonian	newtonian	ADJ
ap-8601	482	6	lubrication	lubrication	NOUN
ap-8601	482	7	of	of	ADP
ap-8601	482	8	squeeze	squeeze	NOUN
ap-8601	482	9	film	film	NOUN
ap-8601	482	10	conical	conical	NOUN
ap-8601	482	11	bearing	bear	VERB
ap-8601	482	12	with	with	ADP
ap-8601	482	13	the	the	DET
ap-8601	482	14	porous	porous	ADJ
ap-8601	482	15	wall	wall	NOUN
ap-8601	482	16	operating	operate	VERB
ap-8601	482	17	with	with	ADP
ap-8601	482	18	rabinowitsch	rabinowitsch	ADJ
ap-8601	482	19	fluid	fluid	ADJ
ap-8601	482	20	model	model	NOUN
ap-8601	482	21	.	.	PUNCT
ap-8601	483	1	proceedings	proceeding	NOUN
ap-8601	483	2	of	of	ADP
ap-8601	483	3	the	the	DET
ap-8601	483	4	institution	institution	NOUN
ap-8601	483	5	of	of	ADP
ap-8601	483	6	mechanical	mechanical	ADJ
ap-8601	483	7	engineers	engineer	NOUN
ap-8601	483	8	,	,	PUNCT
ap-8601	483	9	part	part	NOUN
ap-8601	483	10	j	j	PROPN
ap-8601	483	11	:	:	PUNCT
ap-8601	483	12	journal	journal	PROPN
ap-8601	483	13	of	of	ADP
ap-8601	483	14	engineering	engineering	PROPN
ap-8601	483	15	tribology	tribology	PROPN
ap-8601	483	16	232(10):1293–1303	232(10):1293–1303	NUM
ap-8601	483	17	,	,	PUNCT
ap-8601	483	18	2018	2018	NUM
ap-8601	483	19	.	.	PUNCT
ap-8601	484	1	https://doi.org/10.1177/1350650117749735	https://doi.org/10.1177/1350650117749735	NOUN
ap-8601	485	1	[	[	X
ap-8601	485	2	16	16	NUM
ap-8601	485	3	]	]	X
ap-8601	485	4	p.	p.	PROPN
ap-8601	485	5	rao	rao	PROPN
ap-8601	485	6	,	,	PUNCT
ap-8601	485	7	a.	a.	NOUN
ap-8601	485	8	rahul	rahul	PROPN
ap-8601	485	9	.	.	PUNCT
ap-8601	486	1	combined	combined	ADJ
ap-8601	486	2	effect	effect	NOUN
ap-8601	486	3	of	of	ADP
ap-8601	486	4	viscosity	viscosity	NOUN
ap-8601	486	5	variation	variation	NOUN
ap-8601	486	6	and	and	CCONJ
ap-8601	486	7	non	non	ADJ
ap-8601	486	8	-	-	ADJ
ap-8601	486	9	newtonian	newtonian	ADJ
ap-8601	486	10	rabinowitsch	rabinowitsch	ADJ
ap-8601	486	11	fluid	fluid	NOUN
ap-8601	486	12	in	in	ADP
ap-8601	486	13	wide	wide	ADJ
ap-8601	486	14	parallel	parallel	ADJ
ap-8601	486	15	rectangular	rectangular	ADJ
ap-8601	486	16	-	-	ADJ
ap-8601	486	17	porous	porous	ADJ
ap-8601	486	18	plate	plate	NOUN
ap-8601	486	19	with	with	ADP
ap-8601	486	20	squeeze	squeeze	NOUN
ap-8601	486	21	-	-	PUNCT
ap-8601	486	22	film	film	NOUN
ap-8601	486	23	characteristics	characteristic	NOUN
ap-8601	486	24	.	.	PUNCT
ap-8601	487	1	meccanica	meccanica	PROPN
ap-8601	487	2	54(15):2399–2409	54(15):2399–2409	NUM
ap-8601	487	3	,	,	PUNCT
ap-8601	487	4	2019	2019	NUM
ap-8601	487	5	.	.	PUNCT
ap-8601	488	1	https://doi.org/10.1007/s11012-019-01092-2	https://doi.org/10.1007/s11012-019-01092-2	PROPN
ap-8601	489	1	[	[	X
ap-8601	489	2	17	17	NUM
ap-8601	489	3	]	]	PUNCT
ap-8601	489	4	p.	p.	PROPN
ap-8601	489	5	s.	s.	PROPN
ap-8601	489	6	rao	rao	PROPN
ap-8601	489	7	,	,	PUNCT
ap-8601	489	8	a.	a.	PROPN
ap-8601	489	9	kumar	kumar	PROPN
ap-8601	489	10	rahul	rahul	PROPN
ap-8601	489	11	.	.	PUNCT
ap-8601	490	1	effect	effect	NOUN
ap-8601	490	2	of	of	ADP
ap-8601	490	3	viscosity	viscosity	NOUN
ap-8601	490	4	variation	variation	NOUN
ap-8601	490	5	on	on	ADP
ap-8601	490	6	non	non	ADJ
ap-8601	490	7	-	-	ADJ
ap-8601	490	8	newtonian	newtonian	ADJ
ap-8601	490	9	lubrication	lubrication	NOUN
ap-8601	490	10	of	of	ADP
ap-8601	490	11	squeeze	squeeze	NOUN
ap-8601	490	12	film	film	NOUN
ap-8601	490	13	conical	conical	NOUN
ap-8601	490	14	bearing	bearing	NOUN
ap-8601	490	15	having	have	VERB
ap-8601	490	16	porous	porous	ADJ
ap-8601	490	17	wall	wall	NOUN
ap-8601	490	18	operating	operate	VERB
ap-8601	490	19	with	with	ADP
ap-8601	490	20	rabinowitsch	rabinowitsch	ADJ
ap-8601	490	21	fluid	fluid	ADJ
ap-8601	490	22	model	model	NOUN
ap-8601	490	23	.	.	PUNCT
ap-8601	491	1	proceedings	proceeding	NOUN
ap-8601	491	2	of	of	ADP
ap-8601	491	3	the	the	DET
ap-8601	491	4	institution	institution	NOUN
ap-8601	491	5	of	of	ADP
ap-8601	491	6	mechanical	mechanical	ADJ
ap-8601	491	7	engineers	engineer	NOUN
ap-8601	491	8	,	,	PUNCT
ap-8601	491	9	part	part	NOUN
ap-8601	491	10	c	c	NOUN
ap-8601	491	11	:	:	PUNCT
ap-8601	491	12	journal	journal	NOUN
ap-8601	491	13	of	of	ADP
ap-8601	491	14	mechanical	mechanical	ADJ
ap-8601	491	15	engineering	engineering	NOUN
ap-8601	491	16	science	science	NOUN
ap-8601	491	17	233(7):2538–2551	233(7):2538–2551	PROPN
ap-8601	491	18	,	,	PUNCT
ap-8601	491	19	2019	2019	NUM
ap-8601	491	20	.	.	PUNCT
ap-8601	492	1	https://doi.org/10.1177/0954406218790	https://doi.org/10.1177/0954406218790	NOUN
ap-8601	493	1	[	[	X
ap-8601	493	2	18	18	NUM
ap-8601	493	3	]	]	PUNCT
ap-8601	493	4	a.	a.	PROPN
ap-8601	493	5	k.	k.	PROPN
ap-8601	493	6	rahul	rahul	PROPN
ap-8601	493	7	,	,	PUNCT
ap-8601	493	8	m.	m.	PROPN
ap-8601	493	9	k.	k.	PROPN
ap-8601	493	10	singh	singh	PROPN
ap-8601	493	11	,	,	PUNCT
ap-8601	493	12	s.	s.	PROPN
ap-8601	493	13	saha	saha	PROPN
ap-8601	493	14	.	.	PUNCT
ap-8601	494	1	squeeze	squeeze	NOUN
ap-8601	494	2	film	film	NOUN
ap-8601	494	3	lubrication	lubrication	NOUN
ap-8601	494	4	analysis	analysis	NOUN
ap-8601	494	5	and	and	CCONJ
ap-8601	494	6	optimization	optimization	NOUN
ap-8601	494	7	of	of	ADP
ap-8601	494	8	porous	porous	ADJ
ap-8601	494	9	annular	annular	ADJ
ap-8601	494	10	disk	disk	NOUN
ap-8601	494	11	with	with	ADP
ap-8601	494	12	viscosity	viscosity	NOUN
ap-8601	494	13	variation	variation	NOUN
ap-8601	494	14	of	of	ADP
ap-8601	494	15	non	non	ADJ
ap-8601	494	16	-	-	ADJ
ap-8601	494	17	newtonian	newtonian	ADJ
ap-8601	494	18	fluid	fluid	NOUN
ap-8601	494	19	:	:	PUNCT
ap-8601	494	20	rabinowitsch	rabinowitsch	ADJ
ap-8601	494	21	fluid	fluid	ADJ
ap-8601	494	22	model	model	NOUN
ap-8601	494	23	.	.	PUNCT
ap-8601	495	1	tribology	tribology	PROPN
ap-8601	495	2	international	international	PROPN
ap-8601	495	3	179:108060	179:108060	PROPN
ap-8601	495	4	,	,	PUNCT
ap-8601	495	5	2023	2023	NUM
ap-8601	495	6	.	.	PUNCT
ap-8601	496	1	https://doi.org/10.1016/j.triboint.2022.108060	https://doi.org/10.1016/j.triboint.2022.108060	NOUN
ap-8601	496	2	449	449	NUM
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ap-8601	496	21	a.	a.	PROPN
ap-8601	496	22	k.	k.	PROPN
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ap-8601	496	24	,	,	PUNCT
ap-8601	496	25	m.	m.	PROPN
ap-8601	496	26	k.	k.	PROPN
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ap-8601	496	29	r.	r.	PROPN
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ap-8601	496	31	et	et	PROPN
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ap-8601	496	33	.	.	PROPN
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ap-8601	496	35	polytechnica	polytechnica	PROPN
ap-8601	497	1	[	[	X
ap-8601	497	2	19	19	NUM
ap-8601	497	3	]	]	PUNCT
ap-8601	497	4	h.	h.	PROPN
ap-8601	497	5	christensen	christensen	PROPN
ap-8601	497	6	.	.	PUNCT
ap-8601	498	1	stochastic	stochastic	ADJ
ap-8601	498	2	models	model	NOUN
ap-8601	498	3	for	for	ADP
ap-8601	498	4	hydrodynamic	hydrodynamic	ADJ
ap-8601	498	5	lubrication	lubrication	NOUN
ap-8601	498	6	of	of	ADP
ap-8601	498	7	rough	rough	ADJ
ap-8601	498	8	surfaces	surface	NOUN
ap-8601	498	9	.	.	PUNCT
ap-8601	499	1	proceedings	proceeding	NOUN
ap-8601	499	2	of	of	ADP
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ap-8601	499	4	institution	institution	NOUN
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ap-8601	499	6	mechanical	mechanical	ADJ
ap-8601	499	7	engineers	engineer	NOUN
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ap-8601	499	9	,	,	PUNCT
ap-8601	499	10	1969	1969	NUM
ap-8601	499	11	.	.	PUNCT
ap-8601	500	1	https	https	NOUN
ap-8601	500	2	:	:	PUNCT
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ap-8601	500	4	/	/	SYM
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ap-8601	501	1	[	[	X
ap-8601	501	2	20	20	NUM
ap-8601	501	3	]	]	PUNCT
ap-8601	501	4	h.	h.	PROPN
ap-8601	501	5	christensen	christensen	PROPN
ap-8601	501	6	.	.	PUNCT
ap-8601	502	1	some	some	DET
ap-8601	502	2	aspects	aspect	NOUN
ap-8601	502	3	of	of	ADP
ap-8601	502	4	the	the	DET
ap-8601	502	5	functional	functional	ADJ
ap-8601	502	6	influence	influence	NOUN
ap-8601	502	7	of	of	ADP
ap-8601	502	8	surface	surface	NOUN
ap-8601	502	9	roughness	roughness	NOUN
ap-8601	502	10	in	in	ADP
ap-8601	502	11	lubrication	lubrication	NOUN
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ap-8601	503	3	,	,	PUNCT
ap-8601	503	4	1971	1971	NUM
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ap-8601	505	2	21	21	NUM
ap-8601	505	3	]	]	X
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ap-8601	505	6	baksh	baksh	PROPN
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ap-8601	505	8	h.	h.	PROPN
ap-8601	505	9	bannihalli	bannihalli	PROPN
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ap-8601	505	11	.	.	PUNCT
ap-8601	506	1	study	study	NOUN
ap-8601	506	2	of	of	ADP
ap-8601	506	3	surface	surface	NOUN
ap-8601	506	4	roughness	roughness	NOUN
ap-8601	506	5	with	with	ADP
ap-8601	506	6	mhd	mhd	NOUN
ap-8601	506	7	and	and	CCONJ
ap-8601	506	8	couple	couple	NOUN
ap-8601	506	9	stress	stress	NOUN
ap-8601	506	10	fluid	fluid	NOUN
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ap-8601	506	12	porous	porous	ADJ
ap-8601	506	13	curved	curved	ADJ
ap-8601	506	14	annular	annular	ADJ
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ap-8601	506	19	.	.	PUNCT
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ap-8601	507	3	22	22	NUM
ap-8601	507	4	]	]	PUNCT
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ap-8601	507	6	d’agostino	d’agostino	PROPN
ap-8601	507	7	,	,	PUNCT
ap-8601	507	8	a.	a.	NOUN
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ap-8601	507	10	,	,	PUNCT
ap-8601	507	11	a.	a.	NOUN
ap-8601	507	12	senatore	senatore	NOUN
ap-8601	507	13	.	.	PUNCT
ap-8601	508	1	unsteady	unsteady	ADJ
ap-8601	508	2	oil	oil	NOUN
ap-8601	508	3	film	film	NOUN
ap-8601	508	4	forces	force	NOUN
ap-8601	508	5	in	in	ADP
ap-8601	508	6	porous	porous	ADJ
ap-8601	508	7	bearings	bearing	NOUN
ap-8601	508	8	:	:	PUNCT
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ap-8601	508	10	of	of	ADP
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ap-8601	508	13	on	on	ADP
ap-8601	508	14	the	the	DET
ap-8601	508	15	rotor	rotor	NOUN
ap-8601	508	16	linear	linear	PROPN
ap-8601	508	17	stability	stability	NOUN
ap-8601	508	18	.	.	PUNCT
ap-8601	509	1	meccanica	meccanica	PROPN
ap-8601	509	2	44(2):207–214	44(2):207–214	NUM
ap-8601	509	3	,	,	PUNCT
ap-8601	509	4	2009	2009	NUM
ap-8601	509	5	.	.	PUNCT
ap-8601	510	1	https://doi.org/10.1007/s11012-008-9180-0	https://doi.org/10.1007/s11012-008-9180-0	NUM
ap-8601	511	1	[	[	X
ap-8601	511	2	23	23	NUM
ap-8601	511	3	]	]	X
ap-8601	511	4	y.	y.	PROPN
ap-8601	511	5	d.	d.	PROPN
ap-8601	511	6	vashi	vashi	PROPN
ap-8601	511	7	,	,	PUNCT
ap-8601	511	8	r.	r.	PROPN
ap-8601	511	9	m.	m.	PROPN
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ap-8601	511	13	b.	b.	PROPN
ap-8601	511	14	deheri	deheri	PROPN
ap-8601	511	15	.	.	PUNCT
ap-8601	512	1	neuringer	neuringer	NOUN
ap-8601	512	2	-	-	PUNCT
ap-8601	512	3	roseinweig	roseinweig	PROPN
ap-8601	512	4	model	model	NOUN
ap-8601	512	5	based	base	VERB
ap-8601	512	6	longitudinally	longitudinally	ADV
ap-8601	512	7	rough	rough	ADJ
ap-8601	512	8	porous	porous	ADJ
ap-8601	512	9	circular	circular	ADJ
ap-8601	512	10	stepped	step	VERB
ap-8601	512	11	plates	plate	NOUN
ap-8601	512	12	in	in	ADP
ap-8601	512	13	the	the	DET
ap-8601	512	14	existence	existence	NOUN
ap-8601	512	15	of	of	ADP
ap-8601	512	16	couple	couple	NOUN
ap-8601	512	17	stress	stress	NOUN
ap-8601	512	18	.	.	PUNCT
ap-8601	513	1	acta	acta	PROPN
ap-8601	513	2	polytechnica	polytechnica	PROPN
ap-8601	513	3	60(3):259–267	60(3):259–267	PROPN
ap-8601	513	4	,	,	PUNCT
ap-8601	513	5	2020	2020	NUM
ap-8601	513	6	.	.	PUNCT
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ap-8601	514	2	[	[	X
ap-8601	514	3	24	24	NUM
ap-8601	514	4	]	]	PUNCT
ap-8601	514	5	a.	a.	NOUN
ap-8601	514	6	siddangouda	siddangouda	PROPN
ap-8601	514	7	,	,	PUNCT
ap-8601	514	8	t.	t.	NOUN
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ap-8601	514	11	n.	n.	PROPN
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ap-8601	514	13	.	.	PUNCT
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ap-8601	515	2	effects	effect	NOUN
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ap-8601	515	4	surface	surface	NOUN
ap-8601	515	5	roughness	roughness	NOUN
ap-8601	515	6	and	and	CCONJ
ap-8601	515	7	viscosity	viscosity	NOUN
ap-8601	515	8	variation	variation	NOUN
ap-8601	515	9	due	due	ADP
ap-8601	515	10	to	to	ADP
ap-8601	515	11	additives	additive	NOUN
ap-8601	515	12	on	on	ADP
ap-8601	515	13	long	long	ADJ
ap-8601	515	14	journal	journal	NOUN
ap-8601	515	15	bearing	bearing	NOUN
ap-8601	515	16	.	.	PUNCT
ap-8601	516	1	tribology	tribology	NOUN
ap-8601	516	2	-	-	PUNCT
ap-8601	516	3	materials	material	NOUN
ap-8601	516	4	,	,	PUNCT
ap-8601	516	5	surfaces	surface	NOUN
ap-8601	516	6	&	&	CCONJ
ap-8601	516	7	interfaces	interface	NOUN
ap-8601	516	8	7(1):21–35	7(1):21–35	NUM
ap-8601	516	9	,	,	PUNCT
ap-8601	516	10	2013	2013	NUM
ap-8601	516	11	.	.	PUNCT
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ap-8601	517	2	[	[	X
ap-8601	517	3	25	25	NUM
ap-8601	517	4	]	]	PUNCT
ap-8601	517	5	m.	m.	NOUN
ap-8601	517	6	m.	m.	PROPN
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ap-8601	517	8	,	,	PUNCT
ap-8601	517	9	a.	a.	PROPN
ap-8601	517	10	r.	r.	PROPN
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ap-8601	517	12	,	,	PUNCT
ap-8601	517	13	g.	g.	PROPN
ap-8601	517	14	b.	b.	PROPN
ap-8601	517	15	deheri	deheri	PROPN
ap-8601	517	16	.	.	PUNCT
ap-8601	518	1	a	a	DET
ap-8601	518	2	study	study	NOUN
ap-8601	518	3	of	of	ADP
ap-8601	518	4	ferrofluid	ferrofluid	ADJ
ap-8601	518	5	lubrication	lubrication	NOUN
ap-8601	518	6	based	base	VERB
ap-8601	518	7	rough	rough	ADJ
ap-8601	518	8	sine	sine	ADJ
ap-8601	518	9	film	film	NOUN
ap-8601	518	10	slider	slider	NOUN
ap-8601	518	11	bearing	bear	VERB
ap-8601	518	12	with	with	ADP
ap-8601	518	13	assorted	assorted	ADJ
ap-8601	518	14	porous	porous	ADJ
ap-8601	518	15	structure	structure	NOUN
ap-8601	518	16	.	.	PUNCT
ap-8601	519	1	acta	acta	PROPN
ap-8601	519	2	polytechnica	polytechnica	PROPN
ap-8601	519	3	59(2):144–152	59(2):144–152	PROPN
ap-8601	519	4	,	,	PUNCT
ap-8601	519	5	2019	2019	NUM
ap-8601	519	6	.	.	PUNCT
ap-8601	520	1	https://doi.org/10.14311/ap.2019.59.0144	https://doi.org/10.14311/ap.2019.59.0144	PROPN
ap-8601	521	1	[	[	X
ap-8601	521	2	26	26	NUM
ap-8601	521	3	]	]	PUNCT
ap-8601	521	4	m.	m.	NOUN
ap-8601	521	5	shimpi	shimpi	PROPN
ap-8601	521	6	,	,	PUNCT
ap-8601	521	7	g.	g.	PROPN
ap-8601	521	8	deheri	deheri	PROPN
ap-8601	521	9	.	.	PUNCT
ap-8601	522	1	magnetic	magnetic	ADJ
ap-8601	522	2	fluid	fluid	NOUN
ap-8601	522	3	based	base	VERB
ap-8601	522	4	squeeze	squeeze	NOUN
ap-8601	522	5	film	film	NOUN
ap-8601	522	6	in	in	ADP
ap-8601	522	7	rough	rough	ADJ
ap-8601	522	8	rotating	rotate	VERB
ap-8601	522	9	curved	curve	VERB
ap-8601	522	10	porous	porous	ADJ
ap-8601	522	11	annular	annular	ADJ
ap-8601	522	12	plates	plate	NOUN
ap-8601	522	13	:	:	PUNCT
ap-8601	522	14	deformation	deformation	NOUN
ap-8601	522	15	effect	effect	NOUN
ap-8601	522	16	.	.	PUNCT
ap-8601	523	1	international	international	ADJ
ap-8601	523	2	journal	journal	PROPN
ap-8601	523	3	of	of	ADP
ap-8601	523	4	mathematical	mathematical	ADJ
ap-8601	523	5	and	and	CCONJ
ap-8601	523	6	computational	computational	ADJ
ap-8601	523	7	sciences	science	NOUN
ap-8601	523	8	7(8):1370	7(8):1370	NUM
ap-8601	523	9	–	–	PUNCT
ap-8601	523	10	1380	1380	NUM
ap-8601	523	11	,	,	PUNCT
ap-8601	523	12	2013	2013	NUM
ap-8601	523	13	.	.	PUNCT
ap-8601	524	1	https://doi.org/10.1155/2012/148281	https://doi.org/10.1155/2012/148281	PROPN
ap-8601	525	1	[	[	X
ap-8601	525	2	27	27	NUM
ap-8601	525	3	]	]	X
ap-8601	525	4	s.	s.	PROPN
ap-8601	525	5	patel	patel	PROPN
ap-8601	525	6	,	,	PUNCT
ap-8601	525	7	g.	g.	PROPN
ap-8601	525	8	deheri	deheri	PROPN
ap-8601	525	9	,	,	PUNCT
ap-8601	525	10	j.	j.	PROPN
ap-8601	525	11	patel	patel	PROPN
ap-8601	525	12	.	.	PUNCT
ap-8601	526	1	ferrofluid	ferrofluid	ADJ
ap-8601	526	2	lubrication	lubrication	NOUN
ap-8601	526	3	of	of	ADP
ap-8601	526	4	a	a	DET
ap-8601	526	5	rough	rough	ADJ
ap-8601	526	6	porous	porous	ADJ
ap-8601	526	7	hyperbolic	hyperbolic	ADJ
ap-8601	526	8	slider	slider	NOUN
ap-8601	526	9	bearing	bear	VERB
ap-8601	526	10	with	with	ADP
ap-8601	526	11	slip	slip	NOUN
ap-8601	526	12	velocity	velocity	NOUN
ap-8601	526	13	.	.	PUNCT
ap-8601	527	1	tribology	tribology	NOUN
ap-8601	527	2	in	in	ADP
ap-8601	527	3	industry	industry	NOUN
ap-8601	527	4	36(3):259–268	36(3):259–268	PROPN
ap-8601	527	5	,	,	PUNCT
ap-8601	527	6	2014	2014	NUM
ap-8601	527	7	.	.	PUNCT
ap-8601	528	1	[	[	X
ap-8601	528	2	28	28	NUM
ap-8601	528	3	]	]	X
ap-8601	528	4	j.	j.	PROPN
ap-8601	528	5	patel	patel	PROPN
ap-8601	528	6	,	,	PUNCT
ap-8601	528	7	g.	g.	PROPN
ap-8601	528	8	deheri	deheri	PROPN
ap-8601	528	9	.	.	PUNCT
ap-8601	529	1	combined	combined	ADJ
ap-8601	529	2	effect	effect	NOUN
ap-8601	529	3	of	of	ADP
ap-8601	529	4	slip	slip	NOUN
ap-8601	529	5	velocity	velocity	NOUN
ap-8601	529	6	and	and	CCONJ
ap-8601	529	7	roughness	roughness	NOUN
ap-8601	529	8	on	on	ADP
ap-8601	529	9	the	the	DET
ap-8601	529	10	jenkins	jenkins	PROPN
ap-8601	529	11	model	model	PROPN
ap-8601	529	12	based	base	VERB
ap-8601	529	13	ferrofluid	ferrofluid	ADJ
ap-8601	529	14	lubrication	lubrication	NOUN
ap-8601	529	15	of	of	ADP
ap-8601	529	16	a	a	DET
ap-8601	529	17	curved	curved	ADJ
ap-8601	529	18	rough	rough	ADJ
ap-8601	529	19	annular	annular	ADJ
ap-8601	529	20	squeeze	squeeze	NOUN
ap-8601	529	21	film	film	NOUN
ap-8601	529	22	.	.	PUNCT
ap-8601	530	1	journal	journal	PROPN
ap-8601	530	2	of	of	ADP
ap-8601	530	3	applied	apply	VERB
ap-8601	530	4	fluid	fluid	ADJ
ap-8601	530	5	mechanics	mechanic	NOUN
ap-8601	530	6	9(2):855–865	9(2):855–865	NUM
ap-8601	530	7	,	,	PUNCT
ap-8601	530	8	2016	2016	NUM
ap-8601	530	9	.	.	PUNCT
ap-8601	531	1	https	https	NOUN
ap-8601	531	2	:	:	PUNCT
ap-8601	531	3	//doi.org/10.18869	//doi.org/10.18869	ADJ
ap-8601	531	4	/	/	SYM
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ap-8601	532	2	29	29	NUM
ap-8601	532	3	]	]	X
ap-8601	532	4	y.	y.	PROPN
ap-8601	532	5	d.	d.	PROPN
ap-8601	532	6	vashi	vashi	PROPN
ap-8601	532	7	,	,	PUNCT
ap-8601	532	8	r.	r.	PROPN
ap-8601	532	9	m.	m.	PROPN
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ap-8601	532	13	b.	b.	PROPN
ap-8601	532	14	deheri	deheri	PROPN
ap-8601	532	15	.	.	PUNCT
ap-8601	533	1	neuringer	neuringer	NOUN
ap-8601	533	2	-	-	PUNCT
ap-8601	533	3	roseinweig	roseinweig	PROPN
ap-8601	533	4	model	model	NOUN
ap-8601	533	5	based	base	VERB
ap-8601	533	6	longitudinally	longitudinally	ADV
ap-8601	533	7	rough	rough	ADJ
ap-8601	533	8	porous	porous	ADJ
ap-8601	533	9	circular	circular	ADJ
ap-8601	533	10	stepped	step	VERB
ap-8601	533	11	plates	plate	NOUN
ap-8601	533	12	in	in	ADP
ap-8601	533	13	the	the	DET
ap-8601	533	14	existence	existence	NOUN
ap-8601	533	15	of	of	ADP
ap-8601	533	16	couple	couple	NOUN
ap-8601	533	17	stress	stress	NOUN
ap-8601	533	18	.	.	PUNCT
ap-8601	534	1	acta	acta	PROPN
ap-8601	534	2	polytechnica	polytechnica	PROPN
ap-8601	534	3	60(3):259–267	60(3):259–267	PROPN
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ap-8601	534	5	2020	2020	NUM
ap-8601	534	6	.	.	PUNCT
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ap-8601	535	6	c.	c.	PROPN
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ap-8601	535	8	,	,	PUNCT
ap-8601	535	9	j.	j.	PROPN
ap-8601	535	10	r.	r.	PROPN
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ap-8601	536	2	effect	effect	NOUN
ap-8601	536	3	of	of	ADP
ap-8601	536	4	a	a	DET
ap-8601	536	5	porous	porous	ADJ
ap-8601	536	6	structure	structure	NOUN
ap-8601	536	7	,	,	PUNCT
ap-8601	536	8	slip	slip	VERB
ap-8601	536	9	velocity	velocity	NOUN
ap-8601	536	10	and	and	CCONJ
ap-8601	536	11	rosensweig	rosensweig	VERB
ap-8601	536	12	’s	’s	PART
ap-8601	536	13	viscosity	viscosity	NOUN
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ap-8601	536	15	the	the	DET
ap-8601	536	16	ferrofluid	ferrofluid	NOUN
ap-8601	536	17	based	base	VERB
ap-8601	536	18	squeeze	squeeze	NOUN
ap-8601	536	19	film	film	NOUN
ap-8601	536	20	in	in	ADP
ap-8601	536	21	porous	porous	ADJ
ap-8601	536	22	curved	curved	ADJ
ap-8601	536	23	annular	annular	ADJ
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ap-8601	536	25	.	.	PUNCT
ap-8601	537	1	journal	journal	PROPN
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ap-8601	537	3	nanofluids	nanofluids	PROPN
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ap-8601	537	5	–	–	PUNCT
ap-8601	537	6	505	505	NUM
ap-8601	537	7	,	,	PUNCT
ap-8601	537	8	2023	2023	NUM
ap-8601	537	9	.	.	PUNCT
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ap-8601	539	2	31	31	NUM
ap-8601	539	3	]	]	PUNCT
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ap-8601	539	5	s.	s.	PROPN
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ap-8601	539	9	k.	k.	PROPN
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ap-8601	540	1	pressure	pressure	NOUN
ap-8601	540	2	generation	generation	NOUN
ap-8601	540	3	in	in	ADP
ap-8601	540	4	rough	rough	ADJ
ap-8601	540	5	conical	conical	NOUN
ap-8601	540	6	bearing	bearing	NOUN
ap-8601	540	7	using	use	VERB
ap-8601	540	8	non	non	ADJ
ap-8601	540	9	-	-	ADJ
ap-8601	540	10	newtonian	newtonian	ADJ
ap-8601	540	11	rabinowitsch	rabinowitsch	ADJ
ap-8601	540	12	fluid	fluid	NOUN
ap-8601	540	13	with	with	ADP
ap-8601	540	14	variable	variable	ADJ
ap-8601	540	15	viscosity	viscosity	NOUN
ap-8601	540	16	.	.	PUNCT
ap-8601	541	1	industrial	industrial	ADJ
ap-8601	541	2	lubrication	lubrication	NOUN
ap-8601	541	3	and	and	CCONJ
ap-8601	541	4	tribology	tribology	NOUN
ap-8601	541	5	71(3):357–365	71(3):357–365	PROPN
ap-8601	541	6	,	,	PUNCT
ap-8601	541	7	2019	2019	NUM
ap-8601	541	8	.	.	PUNCT
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ap-8601	543	1	[	[	X
ap-8601	543	2	32	32	NUM
ap-8601	543	3	]	]	PUNCT
ap-8601	543	4	a.	a.	NOUN
ap-8601	543	5	walicka	walicka	PROPN
ap-8601	543	6	,	,	PUNCT
ap-8601	543	7	e.	e.	PROPN
ap-8601	543	8	walicki	walicki	PROPN
ap-8601	543	9	,	,	PUNCT
ap-8601	543	10	p.	p.	NOUN
ap-8601	543	11	jurczak	jurczak	PROPN
ap-8601	543	12	,	,	PUNCT
ap-8601	543	13	j.	j.	PROPN
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ap-8601	543	15	.	.	PUNCT
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ap-8601	544	2	of	of	ADP
ap-8601	544	3	wall	wall	PROPN
ap-8601	544	4	porosity	porosity	NOUN
ap-8601	544	5	and	and	CCONJ
ap-8601	544	6	surfaces	surface	VERB
ap-8601	544	7	roughness	roughness	NOUN
ap-8601	544	8	on	on	ADP
ap-8601	544	9	the	the	DET
ap-8601	544	10	steady	steady	ADJ
ap-8601	544	11	performance	performance	NOUN
ap-8601	544	12	of	of	ADP
ap-8601	544	13	an	an	DET
ap-8601	544	14	externally	externally	ADV
ap-8601	544	15	pressurized	pressurize	VERB
ap-8601	544	16	hydrostatic	hydrostatic	ADJ
ap-8601	544	17	conical	conical	NOUN
ap-8601	544	18	bearing	bearing	NOUN
ap-8601	544	19	lubricated	lubricate	VERB
ap-8601	544	20	by	by	ADP
ap-8601	544	21	a	a	DET
ap-8601	544	22	rabinowitsch	rabinowitsch	ADJ
ap-8601	544	23	fluid	fluid	NOUN
ap-8601	544	24	.	.	PUNCT
ap-8601	545	1	international	international	ADJ
ap-8601	545	2	journal	journal	NOUN
ap-8601	545	3	of	of	ADP
ap-8601	545	4	applied	apply	VERB
ap-8601	545	5	mechanics	mechanic	NOUN
ap-8601	545	6	and	and	CCONJ
ap-8601	545	7	engineering	engineering	NOUN
ap-8601	545	8	22(3):717–737	22(3):717–737	NUM
ap-8601	545	9	,	,	PUNCT
ap-8601	545	10	2017	2017	NUM
ap-8601	545	11	.	.	PUNCT
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ap-8601	546	4	]	]	PUNCT
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ap-8601	546	6	k.	k.	PROPN
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ap-8601	546	8	,	,	PUNCT
ap-8601	546	9	p.	p.	PROPN
ap-8601	546	10	s.	s.	PROPN
ap-8601	546	11	rao	rao	PROPN
ap-8601	546	12	.	.	PROPN
ap-8601	547	1	rabinowitsch	rabinowitsch	PROPN
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ap-8601	547	3	flow	flow	NOUN
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ap-8601	547	5	viscosity	viscosity	NOUN
ap-8601	547	6	variation	variation	NOUN
ap-8601	547	7	:	:	PUNCT
ap-8601	547	8	application	application	NOUN
ap-8601	547	9	of	of	ADP
ap-8601	547	10	porous	porous	ADJ
ap-8601	547	11	rough	rough	ADJ
ap-8601	547	12	circular	circular	ADJ
ap-8601	547	13	stepped	step	VERB
ap-8601	547	14	plates	plate	NOUN
ap-8601	547	15	.	.	PUNCT
ap-8601	548	1	tribology	tribology	PROPN
ap-8601	548	2	international	international	PROPN
ap-8601	548	3	154:106635	154:106635	PROPN
ap-8601	548	4	,	,	PUNCT
ap-8601	548	5	2021	2021	NUM
ap-8601	548	6	.	.	PUNCT
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ap-8601	550	2	34	34	NUM
ap-8601	550	3	]	]	PUNCT
ap-8601	550	4	a.	a.	PROPN
ap-8601	550	5	k.	k.	PROPN
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ap-8601	550	8	m.	m.	PROPN
ap-8601	550	9	k.	k.	PROPN
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ap-8601	550	12	s.	s.	PROPN
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ap-8601	550	14	,	,	PUNCT
ap-8601	550	15	et	et	PROPN
ap-8601	550	16	al	al	PROPN
ap-8601	550	17	.	.	PROPN
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ap-8601	550	23	with	with	ADP
ap-8601	550	24	non	non	ADJ
ap-8601	550	25	-	-	ADJ
ap-8601	550	26	newtonian	newtonian	ADJ
ap-8601	550	27	rabinowitsch	rabinowitsch	ADJ
ap-8601	550	28	fluid	fluid	ADJ
ap-8601	550	29	model	model	NOUN
ap-8601	550	30	:	:	PUNCT
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ap-8601	550	33	squeeze	squeeze	NOUN
ap-8601	550	34	film	film	NOUN
ap-8601	550	35	pressure	pressure	NOUN
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ap-8601	550	37	surface	surface	NOUN
ap-8601	550	38	roughness	roughness	NOUN
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ap-8601	550	42	viscosity	viscosity	NOUN
ap-8601	550	43	variation	variation	NOUN
ap-8601	550	44	.	.	PUNCT
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ap-8601	551	2	journal	journal	NOUN
ap-8601	551	3	of	of	ADP
ap-8601	551	4	modern	modern	ADJ
ap-8601	551	5	physics	physics	PROPN
ap-8601	551	6	b	b	PROPN
ap-8601	551	7	p.	p.	NOUN
ap-8601	551	8	2450268	2450268	NUM
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ap-8601	551	10	2023	2023	NUM
ap-8601	551	11	.	.	PUNCT
ap-8601	552	1	[	[	X
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ap-8601	552	3	ready	ready	ADJ
ap-8601	552	4	]	]	PUNCT
ap-8601	552	5	.	.	PUNCT
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ap-8601	553	25	1	1	NUM
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ap-8601	553	34	2	2	NUM
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ap-8601	553	36	formulation	formulation	NOUN
ap-8601	553	37	3	3	NUM
ap-8601	553	38	mathematical	mathematical	ADJ
ap-8601	553	39	formulations	formulation	NOUN
ap-8601	553	40	and	and	CCONJ
ap-8601	553	41	solutions	solution	NOUN
ap-8601	553	42	3.1	3.1	NUM
ap-8601	553	43	porous	porous	ADJ
ap-8601	553	44	wall	wall	NOUN
ap-8601	553	45	3.2	3.2	NUM
ap-8601	553	46	surface	surface	NOUN
ap-8601	553	47	roughness	roughness	NOUN
ap-8601	553	48	4	4	NUM
ap-8601	553	49	results	result	NOUN
ap-8601	553	50	and	and	CCONJ
ap-8601	553	51	discussion	discussion	NOUN
ap-8601	553	52	5	5	NUM
ap-8601	553	53	conclusions	conclusion	NOUN
ap-8601	553	54	6	6	NUM
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ap-8601	553	59	symbols	symbol	NOUN
ap-8601	553	60	references	reference	NOUN