id	sid	tid	token	lemma	pos
ap-7758	1	1	acta	acta	PROPN
ap-7758	1	2	polytechnica	polytechnica	PROPN
ap-7758	1	3	https://doi.org/10.14311/ap.2022.62.0574	https://doi.org/10.14311/ap.2022.62.0574	NOUN
ap-7758	1	4	acta	acta	PROPN
ap-7758	1	5	polytechnica	polytechnica	PROPN
ap-7758	1	6	62(6):574–588	62(6):574–588	PROPN
ap-7758	1	7	,	,	PUNCT
ap-7758	1	8	2022	2022	NUM
ap-7758	1	9	©	©	ADP
ap-7758	1	10	2022	2022	NUM
ap-7758	1	11	the	the	DET
ap-7758	1	12	author(s	author(s	NOUN
ap-7758	1	13	)	)	PUNCT
ap-7758	1	14	.	.	PUNCT
ap-7758	2	1	licensed	license	VERB
ap-7758	2	2	under	under	ADP
ap-7758	2	3	a	a	DET
ap-7758	2	4	cc	cc	NOUN
ap-7758	2	5	-	-	PUNCT
ap-7758	2	6	by	by	ADP
ap-7758	2	7	4.0	4.0	NUM
ap-7758	2	8	licence	licence	NOUN
ap-7758	2	9	published	publish	VERB
ap-7758	2	10	by	by	ADP
ap-7758	2	11	the	the	DET
ap-7758	2	12	czech	czech	PROPN
ap-7758	2	13	technical	technical	PROPN
ap-7758	2	14	university	university	PROPN
ap-7758	2	15	in	in	ADP
ap-7758	2	16	prague	prague	PROPN
ap-7758	2	17	study	study	NOUN
ap-7758	2	18	of	of	ADP
ap-7758	2	19	surface	surface	NOUN
ap-7758	2	20	roughness	roughness	NOUN
ap-7758	2	21	with	with	ADP
ap-7758	2	22	mhd	mhd	NOUN
ap-7758	2	23	and	and	CCONJ
ap-7758	2	24	couple	couple	NOUN
ap-7758	2	25	stress	stress	NOUN
ap-7758	2	26	fluid	fluid	NOUN
ap-7758	2	27	on	on	ADP
ap-7758	2	28	porous	porous	ADJ
ap-7758	2	29	curved	curved	ADJ
ap-7758	2	30	annular	annular	ADJ
ap-7758	2	31	plates	plate	NOUN
ap-7758	2	32	salma	salma	PROPN
ap-7758	2	33	alla	alla	NOUN
ap-7758	2	34	baksh∗	baksh∗	NOUN
ap-7758	2	35	,	,	PUNCT
ap-7758	2	36	hanumagowda	hanumagowda	PROPN
ap-7758	2	37	bannihalli	bannihalli	PROPN
ap-7758	2	38	naganagowda	naganagowda	PROPN
ap-7758	2	39	reva	reva	PROPN
ap-7758	2	40	university	university	PROPN
ap-7758	2	41	,	,	PUNCT
ap-7758	2	42	school	school	NOUN
ap-7758	2	43	of	of	ADP
ap-7758	2	44	applied	apply	VERB
ap-7758	2	45	sciences	science	NOUN
ap-7758	2	46	,	,	PUNCT
ap-7758	2	47	department	department	NOUN
ap-7758	2	48	of	of	ADP
ap-7758	2	49	mathematics	mathematic	NOUN
ap-7758	2	50	,	,	PUNCT
ap-7758	2	51	bangalore-560064	bangalore-560064	ADV
ap-7758	2	52	,	,	PUNCT
ap-7758	2	53	india	india	PROPN
ap-7758	2	54	∗	∗	NOUN
ap-7758	2	55	corresponding	correspond	VERB
ap-7758	2	56	author	author	NOUN
ap-7758	2	57	:	:	PUNCT
ap-7758	2	58	salma.alla@gmail.com	salma.alla@gmail.com	X
ap-7758	2	59	abstract	abstract	NOUN
ap-7758	2	60	.	.	PUNCT
ap-7758	3	1	the	the	DET
ap-7758	3	2	purpose	purpose	NOUN
ap-7758	3	3	of	of	ADP
ap-7758	3	4	this	this	DET
ap-7758	3	5	article	article	NOUN
ap-7758	3	6	is	be	AUX
ap-7758	3	7	to	to	PART
ap-7758	3	8	examine	examine	VERB
ap-7758	3	9	the	the	DET
ap-7758	3	10	effect	effect	NOUN
ap-7758	3	11	of	of	ADP
ap-7758	3	12	surface	surface	NOUN
ap-7758	3	13	roughness	roughness	NOUN
ap-7758	3	14	on	on	ADP
ap-7758	3	15	porous	porous	ADJ
ap-7758	3	16	curved	curved	ADJ
ap-7758	3	17	annular	annular	ADJ
ap-7758	3	18	plates	plate	NOUN
ap-7758	3	19	lubricated	lubricate	VERB
ap-7758	3	20	with	with	ADP
ap-7758	3	21	couple	couple	NOUN
ap-7758	3	22	stress	stress	NOUN
ap-7758	3	23	fluid	fluid	NOUN
ap-7758	3	24	in	in	ADP
ap-7758	3	25	the	the	DET
ap-7758	3	26	presence	presence	NOUN
ap-7758	3	27	of	of	ADP
ap-7758	3	28	magnetic	magnetic	ADJ
ap-7758	3	29	field	field	NOUN
ap-7758	3	30	.	.	PUNCT
ap-7758	4	1	the	the	DET
ap-7758	4	2	mhd	mhd	NOUN
ap-7758	4	3	-	-	PUNCT
ap-7758	4	4	stochastic	stochastic	NOUN
ap-7758	4	5	reynolds	reynold	NOUN
ap-7758	4	6	equation	equation	NOUN
ap-7758	4	7	is	be	AUX
ap-7758	4	8	derived	derive	VERB
ap-7758	4	9	using	use	VERB
ap-7758	4	10	christensen	christensen	PROPN
ap-7758	4	11	’s	’s	PART
ap-7758	4	12	stochastic	stochastic	ADJ
ap-7758	4	13	model	model	NOUN
ap-7758	4	14	and	and	CCONJ
ap-7758	4	15	applied	apply	VERB
ap-7758	4	16	to	to	PART
ap-7758	4	17	predict	predict	VERB
ap-7758	4	18	the	the	DET
ap-7758	4	19	squeeze	squeeze	NOUN
ap-7758	4	20	film	film	NOUN
ap-7758	4	21	characteristics	characteristic	NOUN
ap-7758	4	22	of	of	ADP
ap-7758	4	23	porous	porous	ADJ
ap-7758	4	24	curved	curved	ADJ
ap-7758	4	25	annular	annular	ADJ
ap-7758	4	26	plates	plate	NOUN
ap-7758	4	27	.	.	PUNCT
ap-7758	5	1	the	the	DET
ap-7758	5	2	expressions	expression	NOUN
ap-7758	5	3	for	for	ADP
ap-7758	5	4	squeeze	squeeze	NOUN
ap-7758	5	5	film	film	NOUN
ap-7758	5	6	pressure	pressure	NOUN
ap-7758	5	7	,	,	PUNCT
ap-7758	5	8	load	load	NOUN
ap-7758	5	9	-	-	PUNCT
ap-7758	5	10	carrying	carry	VERB
ap-7758	5	11	capacity	capacity	NOUN
ap-7758	5	12	,	,	PUNCT
ap-7758	5	13	and	and	CCONJ
ap-7758	5	14	squeeze	squeeze	VERB
ap-7758	5	15	film	film	NOUN
ap-7758	5	16	time	time	NOUN
ap-7758	5	17	are	be	AUX
ap-7758	5	18	obtained	obtain	VERB
ap-7758	5	19	analytically	analytically	ADV
ap-7758	5	20	,	,	PUNCT
ap-7758	5	21	the	the	DET
ap-7758	5	22	results	result	NOUN
ap-7758	5	23	are	be	AUX
ap-7758	5	24	discussed	discuss	VERB
ap-7758	5	25	for	for	ADP
ap-7758	5	26	various	various	ADJ
ap-7758	5	27	values	value	NOUN
ap-7758	5	28	of	of	ADP
ap-7758	5	29	operating	operating	NOUN
ap-7758	5	30	parameters	parameter	NOUN
ap-7758	5	31	,	,	PUNCT
ap-7758	5	32	and	and	CCONJ
ap-7758	5	33	are	be	AUX
ap-7758	5	34	plotted	plot	VERB
ap-7758	5	35	graphically	graphically	ADV
ap-7758	5	36	.	.	PUNCT
ap-7758	6	1	it	it	PRON
ap-7758	6	2	is	be	AUX
ap-7758	6	3	found	find	VERB
ap-7758	6	4	that	that	SCONJ
ap-7758	6	5	the	the	DET
ap-7758	6	6	squeeze	squeeze	NOUN
ap-7758	6	7	film	film	NOUN
ap-7758	6	8	characteristics	characteristic	NOUN
ap-7758	6	9	of	of	ADP
ap-7758	6	10	porous	porous	ADJ
ap-7758	6	11	curved	curved	ADJ
ap-7758	6	12	annular	annular	ADJ
ap-7758	6	13	plates	plate	NOUN
ap-7758	6	14	are	be	AUX
ap-7758	6	15	improved	improve	VERB
ap-7758	6	16	using	use	VERB
ap-7758	6	17	a	a	DET
ap-7758	6	18	non	non	ADJ
ap-7758	6	19	-	-	ADJ
ap-7758	6	20	newtonian	newtonian	ADJ
ap-7758	6	21	fluid	fluid	NOUN
ap-7758	6	22	in	in	ADP
ap-7758	6	23	the	the	DET
ap-7758	6	24	presence	presence	NOUN
ap-7758	6	25	of	of	ADP
ap-7758	6	26	an	an	DET
ap-7758	6	27	external	external	ADJ
ap-7758	6	28	magnetic	magnetic	ADJ
ap-7758	6	29	field	field	NOUN
ap-7758	6	30	.	.	PUNCT
ap-7758	7	1	the	the	DET
ap-7758	7	2	effect	effect	NOUN
ap-7758	7	3	of	of	ADP
ap-7758	7	4	roughness	roughness	NOUN
ap-7758	7	5	parameter	parameter	NOUN
ap-7758	7	6	is	be	AUX
ap-7758	7	7	to	to	PART
ap-7758	7	8	increase	increase	VERB
ap-7758	7	9	(	(	PUNCT
ap-7758	7	10	decrease	decrease	NOUN
ap-7758	7	11	)	)	PUNCT
ap-7758	7	12	the	the	DET
ap-7758	7	13	squeeze	squeeze	NOUN
ap-7758	7	14	film	film	NOUN
ap-7758	7	15	attributes	attribute	VERB
ap-7758	7	16	for	for	ADP
ap-7758	7	17	azimuthal	azimuthal	NOUN
ap-7758	7	18	(	(	PUNCT
ap-7758	7	19	radial	radial	ADJ
ap-7758	7	20	)	)	PUNCT
ap-7758	7	21	roughness	roughness	NOUN
ap-7758	7	22	configuration	configuration	NOUN
ap-7758	7	23	as	as	SCONJ
ap-7758	7	24	compared	compare	VERB
ap-7758	7	25	to	to	ADP
ap-7758	7	26	the	the	DET
ap-7758	7	27	smooth	smooth	ADJ
ap-7758	7	28	case	case	NOUN
ap-7758	7	29	.	.	PUNCT
ap-7758	8	1	furthermore	furthermore	ADV
ap-7758	8	2	,	,	PUNCT
ap-7758	8	3	the	the	DET
ap-7758	8	4	effect	effect	NOUN
ap-7758	8	5	of	of	ADP
ap-7758	8	6	permeability	permeability	NOUN
ap-7758	8	7	parameter	parameter	NOUN
ap-7758	8	8	is	be	AUX
ap-7758	8	9	to	to	PART
ap-7758	8	10	decrease	decrease	VERB
ap-7758	8	11	the	the	DET
ap-7758	8	12	pressure	pressure	NOUN
ap-7758	8	13	,	,	PUNCT
ap-7758	8	14	load	load	NOUN
ap-7758	8	15	-	-	PUNCT
ap-7758	8	16	carrying	carry	VERB
ap-7758	8	17	capacity	capacity	NOUN
ap-7758	8	18	,	,	PUNCT
ap-7758	8	19	and	and	CCONJ
ap-7758	8	20	squeeze	squeeze	NOUN
ap-7758	8	21	-	-	PUNCT
ap-7758	8	22	film	film	NOUN
ap-7758	8	23	time	time	NOUN
ap-7758	8	24	as	as	ADP
ap-7758	8	25	compared	compare	VERB
ap-7758	8	26	to	to	ADP
ap-7758	8	27	the	the	DET
ap-7758	8	28	non	non	ADJ
ap-7758	8	29	-	-	ADJ
ap-7758	8	30	porous	porous	ADJ
ap-7758	8	31	case	case	NOUN
ap-7758	8	32	.	.	PUNCT
ap-7758	9	1	keywords	keyword	NOUN
ap-7758	9	2	:	:	PUNCT
ap-7758	9	3	couple	couple	NOUN
ap-7758	9	4	stress	stress	NOUN
ap-7758	9	5	fluid	fluid	NOUN
ap-7758	9	6	,	,	PUNCT
ap-7758	9	7	mhd	mhd	NOUN
ap-7758	9	8	,	,	PUNCT
ap-7758	9	9	surface	surface	NOUN
ap-7758	9	10	roughness	roughness	NOUN
ap-7758	9	11	,	,	PUNCT
ap-7758	9	12	porous	porous	ADJ
ap-7758	9	13	medium	medium	NOUN
ap-7758	9	14	,	,	PUNCT
ap-7758	9	15	curved	curved	ADJ
ap-7758	9	16	annular	annular	ADJ
ap-7758	9	17	plates	plate	NOUN
ap-7758	9	18	.	.	PUNCT
ap-7758	10	1	1	1	X
ap-7758	10	2	.	.	X
ap-7758	10	3	introduction	introduction	NOUN
ap-7758	10	4	in	in	ADP
ap-7758	10	5	development	development	NOUN
ap-7758	10	6	of	of	ADP
ap-7758	10	7	modernised	modernised	ADJ
ap-7758	10	8	machine	machine	NOUN
ap-7758	10	9	equipment	equipment	NOUN
ap-7758	10	10	,	,	PUNCT
ap-7758	10	11	a	a	DET
ap-7758	10	12	great	great	ADJ
ap-7758	10	13	attention	attention	NOUN
ap-7758	10	14	is	be	AUX
ap-7758	10	15	being	be	AUX
ap-7758	10	16	paid	pay	VERB
ap-7758	10	17	to	to	ADP
ap-7758	10	18	fluids	fluid	NOUN
ap-7758	10	19	which	which	PRON
ap-7758	10	20	contain	contain	VERB
ap-7758	10	21	microstructures	microstructure	NOUN
ap-7758	10	22	,	,	PUNCT
ap-7758	10	23	such	such	ADJ
ap-7758	10	24	as	as	ADP
ap-7758	10	25	suspensions	suspension	NOUN
ap-7758	10	26	,	,	PUNCT
ap-7758	10	27	long	long	ADV
ap-7758	10	28	-	-	PUNCT
ap-7758	10	29	chained	chain	VERB
ap-7758	10	30	polymers	polymer	NOUN
ap-7758	10	31	,	,	PUNCT
ap-7758	10	32	and	and	CCONJ
ap-7758	10	33	additives	additive	NOUN
ap-7758	10	34	.	.	PUNCT
ap-7758	11	1	newtonian	newtonian	ADJ
ap-7758	11	2	fluid	fluid	NOUN
ap-7758	11	3	is	be	AUX
ap-7758	11	4	one	one	NUM
ap-7758	11	5	which	which	PRON
ap-7758	11	6	does	do	AUX
ap-7758	11	7	not	not	PART
ap-7758	11	8	depend	depend	VERB
ap-7758	11	9	on	on	ADP
ap-7758	11	10	the	the	DET
ap-7758	11	11	dimension	dimension	NOUN
ap-7758	11	12	of	of	ADP
ap-7758	11	13	fluid	fluid	ADJ
ap-7758	11	14	particles	particle	NOUN
ap-7758	11	15	and	and	CCONJ
ap-7758	11	16	hence	hence	ADV
ap-7758	11	17	such	such	ADJ
ap-7758	11	18	fluids	fluid	NOUN
ap-7758	11	19	are	be	AUX
ap-7758	11	20	not	not	PART
ap-7758	11	21	a	a	DET
ap-7758	11	22	suitable	suitable	ADJ
ap-7758	11	23	engineering	engineering	NOUN
ap-7758	11	24	concept	concept	NOUN
ap-7758	11	25	.	.	PUNCT
ap-7758	12	1	since	since	SCONJ
ap-7758	12	2	non	non	ADJ
ap-7758	12	3	-	-	ADJ
ap-7758	12	4	newtonian	newtonian	ADJ
ap-7758	12	5	fluid	fluid	ADJ
ap-7758	12	6	flow	flow	NOUN
ap-7758	12	7	can	can	AUX
ap-7758	12	8	not	not	PART
ap-7758	12	9	be	be	AUX
ap-7758	12	10	precisely	precisely	ADV
ap-7758	12	11	explained	explain	VERB
ap-7758	12	12	by	by	ADP
ap-7758	12	13	the	the	DET
ap-7758	12	14	classical	classical	ADJ
ap-7758	12	15	theory	theory	NOUN
ap-7758	12	16	of	of	ADP
ap-7758	12	17	continuum	continuum	PROPN
ap-7758	12	18	,	,	PUNCT
ap-7758	12	19	numerous	numerous	ADJ
ap-7758	12	20	micro	micro	ADJ
ap-7758	12	21	continuum	continuum	ADJ
ap-7758	12	22	theories	theory	NOUN
ap-7758	12	23	have	have	AUX
ap-7758	12	24	been	be	AUX
ap-7758	12	25	constructed	construct	VERB
ap-7758	12	26	[	[	PUNCT
ap-7758	12	27	1	1	NUM
ap-7758	12	28	,	,	PUNCT
ap-7758	12	29	2	2	NUM
ap-7758	12	30	]	]	PUNCT
ap-7758	12	31	for	for	ADP
ap-7758	12	32	explaining	explain	VERB
ap-7758	12	33	the	the	DET
ap-7758	12	34	particular	particular	ADJ
ap-7758	12	35	behaviour	behaviour	NOUN
ap-7758	12	36	of	of	ADP
ap-7758	12	37	fluids	fluid	NOUN
ap-7758	12	38	featuring	feature	VERB
ap-7758	12	39	substructures	substructure	NOUN
ap-7758	12	40	that	that	PRON
ap-7758	12	41	have	have	VERB
ap-7758	12	42	the	the	DET
ap-7758	12	43	ability	ability	NOUN
ap-7758	12	44	to	to	PART
ap-7758	12	45	interpret	interpret	VERB
ap-7758	12	46	,	,	PUNCT
ap-7758	12	47	pivot	pivot	NOUN
ap-7758	12	48	,	,	PUNCT
ap-7758	12	49	or	or	CCONJ
ap-7758	12	50	even	even	ADV
ap-7758	12	51	distort	distort	VERB
ap-7758	12	52	on	on	ADP
ap-7758	12	53	their	their	PRON
ap-7758	12	54	own	own	ADJ
ap-7758	12	55	.	.	PUNCT
ap-7758	13	1	among	among	ADP
ap-7758	13	2	them	they	PRON
ap-7758	13	3	,	,	PUNCT
ap-7758	13	4	stoke	stoke	PROPN
ap-7758	13	5	’s	’s	PART
ap-7758	13	6	theory	theory	NOUN
ap-7758	13	7	[	[	X
ap-7758	13	8	3	3	NUM
ap-7758	13	9	]	]	PUNCT
ap-7758	13	10	is	be	AUX
ap-7758	13	11	the	the	DET
ap-7758	13	12	simplest	simple	ADJ
ap-7758	13	13	theory	theory	NOUN
ap-7758	13	14	.	.	PUNCT
ap-7758	14	1	numerous	numerous	ADJ
ap-7758	14	2	authors	author	NOUN
ap-7758	14	3	have	have	AUX
ap-7758	14	4	considered	consider	VERB
ap-7758	14	5	this	this	DET
ap-7758	14	6	theory	theory	NOUN
ap-7758	14	7	to	to	PART
ap-7758	14	8	examine	examine	VERB
ap-7758	14	9	the	the	DET
ap-7758	14	10	impact	impact	NOUN
ap-7758	14	11	of	of	ADP
ap-7758	14	12	couple	couple	NOUN
ap-7758	14	13	stresses	stress	NOUN
ap-7758	14	14	for	for	ADP
ap-7758	14	15	several	several	ADJ
ap-7758	14	16	kinds	kind	NOUN
ap-7758	14	17	of	of	ADP
ap-7758	14	18	fluid	fluid	ADJ
ap-7758	14	19	film	film	NOUN
ap-7758	14	20	bearings	bearing	NOUN
ap-7758	14	21	,	,	PUNCT
ap-7758	14	22	for	for	ADP
ap-7758	14	23	example	example	NOUN
ap-7758	14	24	,	,	PUNCT
ap-7758	14	25	lin	lin	PROPN
ap-7758	15	1	[	[	X
ap-7758	15	2	4	4	X
ap-7758	15	3	]	]	PUNCT
ap-7758	15	4	presented	present	VERB
ap-7758	15	5	the	the	DET
ap-7758	15	6	sphere	sphere	NOUN
ap-7758	15	7	-	-	PUNCT
ap-7758	15	8	flat	flat	ADJ
ap-7758	15	9	plate	plate	NOUN
ap-7758	15	10	,	,	PUNCT
ap-7758	15	11	kashinath	kashinath	NOUN
ap-7758	16	1	[	[	X
ap-7758	16	2	5	5	NUM
ap-7758	16	3	]	]	PUNCT
ap-7758	16	4	presented	present	VERB
ap-7758	16	5	the	the	DET
ap-7758	16	6	parallel	parallel	ADJ
ap-7758	16	7	stepped	step	VERB
ap-7758	16	8	squeeze	squeeze	NOUN
ap-7758	16	9	films	film	NOUN
ap-7758	16	10	plates	plate	NOUN
ap-7758	16	11	and	and	CCONJ
ap-7758	16	12	naduvinamani	naduvinamani	ADJ
ap-7758	16	13	et	et	PROPN
ap-7758	16	14	al	al	PROPN
ap-7758	16	15	.	.	PUNCT
ap-7758	17	1	[	[	X
ap-7758	17	2	6	6	NUM
ap-7758	17	3	]	]	PUNCT
ap-7758	17	4	presented	present	VERB
ap-7758	17	5	circular	circular	ADJ
ap-7758	17	6	stepped	step	VERB
ap-7758	17	7	plates	plate	NOUN
ap-7758	17	8	.	.	PUNCT
ap-7758	18	1	these	these	DET
ap-7758	18	2	authors	author	NOUN
ap-7758	18	3	have	have	AUX
ap-7758	18	4	concluded	conclude	VERB
ap-7758	18	5	that	that	DET
ap-7758	18	6	presence	presence	NOUN
ap-7758	18	7	of	of	ADP
ap-7758	18	8	couple	couple	NOUN
ap-7758	18	9	stress	stress	NOUN
ap-7758	18	10	fluid	fluid	NOUN
ap-7758	18	11	increases	increase	NOUN
ap-7758	18	12	load	load	VERB
ap-7758	18	13	and	and	CCONJ
ap-7758	18	14	film	film	NOUN
ap-7758	18	15	time	time	NOUN
ap-7758	18	16	as	as	SCONJ
ap-7758	18	17	compared	compare	VERB
ap-7758	18	18	to	to	ADP
ap-7758	18	19	classical	classical	ADJ
ap-7758	18	20	case	case	NOUN
ap-7758	18	21	.	.	PUNCT
ap-7758	19	1	recently	recently	ADV
ap-7758	19	2	,	,	PUNCT
ap-7758	19	3	the	the	DET
ap-7758	19	4	concepts	concept	NOUN
ap-7758	19	5	of	of	ADP
ap-7758	19	6	magnetohydrodynamics	magnetohydrodynamic	NOUN
ap-7758	19	7	(	(	PUNCT
ap-7758	19	8	mhd	mhd	NOUN
ap-7758	19	9	)	)	PUNCT
ap-7758	19	10	in	in	ADP
ap-7758	19	11	lubrication	lubrication	NOUN
ap-7758	19	12	theory	theory	NOUN
ap-7758	19	13	have	have	AUX
ap-7758	19	14	caught	catch	VERB
ap-7758	19	15	the	the	DET
ap-7758	19	16	attention	attention	NOUN
ap-7758	19	17	of	of	ADP
ap-7758	19	18	numerous	numerous	ADJ
ap-7758	19	19	researchers	researcher	NOUN
ap-7758	19	20	.	.	PUNCT
ap-7758	20	1	since	since	SCONJ
ap-7758	20	2	it	it	PRON
ap-7758	20	3	is	be	AUX
ap-7758	20	4	found	find	VERB
ap-7758	20	5	that	that	SCONJ
ap-7758	20	6	by	by	ADP
ap-7758	20	7	using	use	VERB
ap-7758	20	8	an	an	DET
ap-7758	20	9	electrically	electrically	ADV
ap-7758	20	10	conducting	conduct	VERB
ap-7758	20	11	fluid	fluid	NOUN
ap-7758	20	12	,	,	PUNCT
ap-7758	20	13	the	the	DET
ap-7758	20	14	load	load	NOUN
ap-7758	20	15	-	-	PUNCT
ap-7758	20	16	carrying	carry	VERB
ap-7758	20	17	capacity	capacity	NOUN
ap-7758	20	18	in	in	ADP
ap-7758	20	19	a	a	DET
ap-7758	20	20	bearing	bearing	NOUN
ap-7758	20	21	can	can	AUX
ap-7758	20	22	be	be	AUX
ap-7758	20	23	increased	increase	VERB
ap-7758	20	24	.	.	PUNCT
ap-7758	21	1	many	many	ADJ
ap-7758	21	2	theoretical	theoretical	ADJ
ap-7758	21	3	studies	study	NOUN
ap-7758	21	4	have	have	AUX
ap-7758	21	5	carried	carry	VERB
ap-7758	21	6	out	out	ADP
ap-7758	21	7	and	and	CCONJ
ap-7758	21	8	detected	detect	VERB
ap-7758	21	9	that	that	SCONJ
ap-7758	21	10	the	the	DET
ap-7758	21	11	impact	impact	NOUN
ap-7758	21	12	of	of	ADP
ap-7758	21	13	electromagnetic	electromagnetic	ADJ
ap-7758	21	14	fields	field	NOUN
ap-7758	21	15	on	on	ADP
ap-7758	21	16	squeeze	squeeze	NOUN
ap-7758	21	17	films	film	NOUN
ap-7758	21	18	is	be	AUX
ap-7758	21	19	beneficial	beneficial	ADJ
ap-7758	21	20	particularly	particularly	ADV
ap-7758	21	21	in	in	ADP
ap-7758	21	22	the	the	DET
ap-7758	21	23	devices	device	NOUN
ap-7758	21	24	which	which	PRON
ap-7758	21	25	involve	involve	VERB
ap-7758	21	26	high	high	ADJ
ap-7758	21	27	speeds	speed	NOUN
ap-7758	21	28	and	and	CCONJ
ap-7758	21	29	high	high	ADJ
ap-7758	21	30	external	external	ADJ
ap-7758	21	31	temperature	temperature	NOUN
ap-7758	21	32	.	.	PUNCT
ap-7758	22	1	the	the	DET
ap-7758	22	2	hydromagnetic	hydromagnetic	ADJ
ap-7758	22	3	bearings	bearing	NOUN
ap-7758	22	4	,	,	PUNCT
ap-7758	22	5	when	when	SCONJ
ap-7758	22	6	compared	compare	VERB
ap-7758	22	7	to	to	ADP
ap-7758	22	8	solid	solid	ADJ
ap-7758	22	9	bearings	bearing	NOUN
ap-7758	22	10	,	,	PUNCT
ap-7758	22	11	possess	possess	VERB
ap-7758	22	12	many	many	ADJ
ap-7758	22	13	advantages	advantage	NOUN
ap-7758	22	14	with	with	ADP
ap-7758	22	15	couple	couple	NOUN
ap-7758	22	16	stress	stress	NOUN
ap-7758	22	17	fluid	fluid	NOUN
ap-7758	22	18	as	as	ADP
ap-7758	22	19	lubricant	lubricant	NOUN
ap-7758	22	20	.	.	PUNCT
ap-7758	23	1	they	they	PRON
ap-7758	23	2	are	be	AUX
ap-7758	23	3	capable	capable	ADJ
ap-7758	23	4	to	to	PART
ap-7758	23	5	function	function	VERB
ap-7758	23	6	at	at	ADP
ap-7758	23	7	high	high	ADJ
ap-7758	23	8	temperatures	temperature	NOUN
ap-7758	23	9	,	,	PUNCT
ap-7758	23	10	and	and	CCONJ
ap-7758	23	11	they	they	PRON
ap-7758	23	12	offer	offer	VERB
ap-7758	23	13	a	a	DET
ap-7758	23	14	significant	significant	ADJ
ap-7758	23	15	resistance	resistance	NOUN
ap-7758	23	16	to	to	ADP
ap-7758	23	17	radioactive	radioactive	ADJ
ap-7758	23	18	radiation	radiation	NOUN
ap-7758	23	19	.	.	PUNCT
ap-7758	24	1	to	to	PART
ap-7758	24	2	protect	protect	VERB
ap-7758	24	3	undesirable	undesirable	ADJ
ap-7758	24	4	variation	variation	NOUN
ap-7758	24	5	in	in	ADP
ap-7758	24	6	viscosity	viscosity	NOUN
ap-7758	24	7	with	with	ADP
ap-7758	24	8	temperature	temperature	NOUN
ap-7758	24	9	,	,	PUNCT
ap-7758	24	10	the	the	DET
ap-7758	24	11	use	use	NOUN
ap-7758	24	12	of	of	ADP
ap-7758	24	13	electrically	electrically	ADV
ap-7758	24	14	conducting	conduct	VERB
ap-7758	24	15	liquid	liquid	NOUN
ap-7758	24	16	-	-	PUNCT
ap-7758	24	17	metal	metal	NOUN
ap-7758	24	18	as	as	SCONJ
ap-7758	24	19	lubricant	lubricant	NOUN
ap-7758	24	20	is	be	AUX
ap-7758	24	21	emphasized	emphasize	VERB
ap-7758	24	22	.	.	PUNCT
ap-7758	25	1	in	in	ADP
ap-7758	25	2	the	the	DET
ap-7758	25	3	occurrence	occurrence	NOUN
ap-7758	25	4	of	of	ADP
ap-7758	25	5	a	a	DET
ap-7758	25	6	magnetic	magnetic	ADJ
ap-7758	25	7	field	field	NOUN
ap-7758	25	8	,	,	PUNCT
ap-7758	25	9	many	many	ADJ
ap-7758	25	10	authors	author	NOUN
ap-7758	25	11	presented	present	VERB
ap-7758	25	12	mhd	mhd	NOUN
ap-7758	25	13	performance	performance	NOUN
ap-7758	25	14	of	of	ADP
ap-7758	25	15	bearings	bearing	NOUN
ap-7758	25	16	lubricated	lubricate	VERB
ap-7758	25	17	with	with	ADP
ap-7758	25	18	an	an	DET
ap-7758	25	19	electrically	electrically	ADV
ap-7758	25	20	conducting	conduct	VERB
ap-7758	25	21	fluid	fluid	NOUN
ap-7758	25	22	for	for	ADP
ap-7758	25	23	smoothness	smoothness	NOUN
ap-7758	25	24	,	,	PUNCT
ap-7758	25	25	such	such	ADJ
ap-7758	25	26	as	as	ADP
ap-7758	25	27	slider	slider	NOUN
ap-7758	25	28	bearing	bearing	NOUN
ap-7758	25	29	by	by	ADP
ap-7758	25	30	snyder	snyder	PROPN
ap-7758	26	1	[	[	X
ap-7758	26	2	7	7	NUM
ap-7758	26	3	]	]	PUNCT
ap-7758	26	4	,	,	PUNCT
ap-7758	26	5	inclined	inclined	ADJ
ap-7758	26	6	slider	slider	NOUN
ap-7758	26	7	bearing	bearing	NOUN
ap-7758	26	8	and	and	CCONJ
ap-7758	26	9	finite	finite	ADJ
ap-7758	26	10	step	step	NOUN
ap-7758	26	11	slider	slider	NOUN
ap-7758	26	12	bearing	bear	VERB
ap-7758	26	13	by	by	ADP
ap-7758	26	14	hughes	hughe	NOUN
ap-7758	27	1	[	[	X
ap-7758	27	2	8	8	NUM
ap-7758	27	3	,	,	PUNCT
ap-7758	27	4	9	9	NUM
ap-7758	27	5	]	]	PUNCT
ap-7758	27	6	,	,	PUNCT
ap-7758	27	7	parallel	parallel	ADJ
ap-7758	27	8	plate	plate	NOUN
ap-7758	27	9	slider	slider	NOUN
ap-7758	27	10	bearing	bear	VERB
ap-7758	27	11	by	by	ADP
ap-7758	27	12	kuzma	kuzma	PROPN
ap-7758	28	1	[	[	X
ap-7758	28	2	10	10	NUM
ap-7758	28	3	]	]	PUNCT
ap-7758	28	4	,	,	PUNCT
ap-7758	28	5	lin	lin	PROPN
ap-7758	29	1	[	[	X
ap-7758	29	2	11	11	NUM
ap-7758	29	3	]	]	PUNCT
ap-7758	29	4	for	for	ADP
ap-7758	29	5	annular	annular	ADJ
ap-7758	29	6	disks	disk	NOUN
ap-7758	29	7	,	,	PUNCT
ap-7758	29	8	and	and	CCONJ
ap-7758	29	9	lin	lin	PROPN
ap-7758	29	10	et	et	PROPN
ap-7758	29	11	al	al	PROPN
ap-7758	29	12	.	.	PUNCT
ap-7758	30	1	[	[	X
ap-7758	30	2	12	12	NUM
ap-7758	30	3	]	]	PUNCT
ap-7758	30	4	for	for	ADP
ap-7758	30	5	curved	curved	ADJ
ap-7758	30	6	annular	annular	ADV
ap-7758	30	7	if	if	SCONJ
ap-7758	30	8	we	we	PRON
ap-7758	30	9	compare	compare	VERB
ap-7758	30	10	the	the	DET
ap-7758	30	11	results	result	NOUN
ap-7758	30	12	with	with	ADP
ap-7758	30	13	a	a	DET
ap-7758	30	14	non	non	ADJ
ap-7758	30	15	-	-	ADJ
ap-7758	30	16	magnetic	magnetic	ADJ
ap-7758	30	17	case	case	NOUN
ap-7758	30	18	there	there	PRON
ap-7758	30	19	is	be	VERB
ap-7758	30	20	an	an	DET
ap-7758	30	21	enhancement	enhancement	NOUN
ap-7758	30	22	in	in	ADP
ap-7758	30	23	film	film	NOUN
ap-7758	30	24	pressure	pressure	NOUN
ap-7758	30	25	,	,	PUNCT
ap-7758	30	26	load	load	NOUN
ap-7758	30	27	and	and	CCONJ
ap-7758	30	28	the	the	DET
ap-7758	30	29	length	length	NOUN
ap-7758	30	30	of	of	ADP
ap-7758	30	31	the	the	DET
ap-7758	30	32	squeeze	squeeze	NOUN
ap-7758	30	33	film	film	NOUN
ap-7758	30	34	time	time	NOUN
ap-7758	30	35	in	in	ADP
ap-7758	30	36	presence	presence	NOUN
ap-7758	30	37	of	of	ADP
ap-7758	30	38	a	a	DET
ap-7758	30	39	magnetic	magnetic	ADJ
ap-7758	30	40	field	field	NOUN
ap-7758	30	41	.	.	PUNCT
ap-7758	31	1	in	in	ADP
ap-7758	31	2	all	all	DET
ap-7758	31	3	the	the	DET
ap-7758	31	4	above	above	ADV
ap-7758	31	5	-	-	PUNCT
ap-7758	31	6	mentioned	mention	VERB
ap-7758	31	7	papers	paper	NOUN
ap-7758	31	8	,	,	PUNCT
ap-7758	31	9	it	it	PRON
ap-7758	31	10	has	have	AUX
ap-7758	31	11	been	be	AUX
ap-7758	31	12	observed	observe	VERB
ap-7758	31	13	that	that	SCONJ
ap-7758	31	14	the	the	DET
ap-7758	31	15	work	work	NOUN
ap-7758	31	16	is	be	AUX
ap-7758	31	17	limited	limit	VERB
ap-7758	31	18	only	only	ADV
ap-7758	31	19	for	for	ADP
ap-7758	31	20	smooth	smooth	ADJ
ap-7758	31	21	surfaces	surface	NOUN
ap-7758	31	22	.	.	PUNCT
ap-7758	32	1	but	but	CCONJ
ap-7758	32	2	practically	practically	ADV
ap-7758	32	3	,	,	PUNCT
ap-7758	32	4	even	even	ADV
ap-7758	32	5	the	the	DET
ap-7758	32	6	rough	rough	ADJ
ap-7758	32	7	surface	surface	NOUN
ap-7758	32	8	is	be	AUX
ap-7758	32	9	very	very	ADV
ap-7758	32	10	crucial	crucial	ADJ
ap-7758	32	11	.	.	PUNCT
ap-7758	33	1	keeping	keep	VERB
ap-7758	33	2	this	this	PRON
ap-7758	33	3	in	in	ADP
ap-7758	33	4	mind	mind	NOUN
ap-7758	33	5	,	,	PUNCT
ap-7758	33	6	few	few	ADJ
ap-7758	33	7	investigators	investigator	NOUN
ap-7758	33	8	have	have	AUX
ap-7758	33	9	tried	try	VERB
ap-7758	33	10	to	to	PART
ap-7758	33	11	study	study	VERB
ap-7758	33	12	the	the	DET
ap-7758	33	13	effect	effect	NOUN
ap-7758	33	14	of	of	ADP
ap-7758	33	15	porous	porous	ADJ
ap-7758	33	16	medium	medium	NOUN
ap-7758	33	17	on	on	ADP
ap-7758	33	18	the	the	DET
ap-7758	33	19	rough	rough	ADJ
ap-7758	33	20	surfaces	surface	NOUN
ap-7758	33	21	.	.	PUNCT
ap-7758	34	1	nowadays	nowadays	ADV
ap-7758	34	2	,	,	PUNCT
ap-7758	34	3	porous	porous	ADJ
ap-7758	34	4	medium	medium	NOUN
ap-7758	34	5	is	be	AUX
ap-7758	34	6	one	one	NUM
ap-7758	34	7	of	of	ADP
ap-7758	34	8	areas	area	NOUN
ap-7758	34	9	of	of	ADP
ap-7758	34	10	interest	interest	NOUN
ap-7758	34	11	for	for	ADP
ap-7758	34	12	many	many	ADJ
ap-7758	34	13	authors	author	NOUN
ap-7758	34	14	in	in	ADP
ap-7758	34	15	various	various	ADJ
ap-7758	34	16	fields	field	NOUN
ap-7758	34	17	of	of	ADP
ap-7758	34	18	science	science	NOUN
ap-7758	34	19	and	and	CCONJ
ap-7758	34	20	engineering	engineering	NOUN
ap-7758	34	21	.	.	PUNCT
ap-7758	35	1	porous	porous	ADJ
ap-7758	35	2	bearings	bearing	NOUN
ap-7758	35	3	are	be	AUX
ap-7758	35	4	found	find	VERB
ap-7758	35	5	to	to	PART
ap-7758	35	6	be	be	AUX
ap-7758	35	7	advantageous	advantageous	ADJ
ap-7758	35	8	due	due	ADP
ap-7758	35	9	to	to	ADP
ap-7758	35	10	its	its	PRON
ap-7758	35	11	self	self	NOUN
ap-7758	35	12	-	-	PUNCT
ap-7758	35	13	lubricating	lubricate	VERB
ap-7758	35	14	properties	property	NOUN
ap-7758	35	15	,	,	PUNCT
ap-7758	35	16	lower	low	ADJ
ap-7758	35	17	costs	cost	NOUN
ap-7758	35	18	,	,	PUNCT
ap-7758	35	19	and	and	CCONJ
ap-7758	35	20	design	design	NOUN
ap-7758	35	21	ease	ease	NOUN
ap-7758	35	22	.	.	PUNCT
ap-7758	36	1	thus	thus	ADV
ap-7758	36	2	,	,	PUNCT
ap-7758	36	3	the	the	DET
ap-7758	36	4	study	study	NOUN
ap-7758	36	5	of	of	ADP
ap-7758	36	6	porous	porous	ADJ
ap-7758	36	7	squeeze	squeeze	NOUN
ap-7758	36	8	-	-	PUNCT
ap-7758	36	9	film	film	NOUN
ap-7758	36	10	bearings	bearing	NOUN
ap-7758	36	11	was	be	AUX
ap-7758	36	12	based	base	VERB
ap-7758	36	13	on	on	ADP
ap-7758	36	14	darcy	darcy	PROPN
ap-7758	36	15	model	model	PROPN
ap-7758	36	16	,	,	PUNCT
ap-7758	36	17	in	in	ADP
ap-7758	36	18	which	which	PRON
ap-7758	36	19	fluid	fluid	ADJ
ap-7758	36	20	flow	flow	NOUN
ap-7758	36	21	through	through	ADP
ap-7758	36	22	porous	porous	ADJ
ap-7758	36	23	matrix	matrix	NOUN
ap-7758	36	24	obeys	obey	NOUN
ap-7758	36	25	darcy	darcy	PROPN
ap-7758	36	26	’s	’s	PART
ap-7758	36	27	law	law	NOUN
ap-7758	36	28	and	and	CCONJ
ap-7758	36	29	no	no	DET
ap-7758	36	30	-	-	PUNCT
ap-7758	36	31	slip	slip	NOUN
ap-7758	36	32	condition	condition	NOUN
ap-7758	36	33	was	be	AUX
ap-7758	36	34	expected	expect	VERB
ap-7758	36	35	on	on	ADP
ap-7758	36	36	the	the	DET
ap-7758	36	37	film	film	NOUN
ap-7758	36	38	interface	interface	NOUN
ap-7758	36	39	.	.	PUNCT
ap-7758	37	1	several	several	ADJ
ap-7758	37	2	authors	author	NOUN
ap-7758	37	3	have	have	AUX
ap-7758	37	4	examined	examine	VERB
ap-7758	37	5	rough	rough	ADJ
ap-7758	37	6	surface	surface	NOUN
ap-7758	37	7	for	for	ADP
ap-7758	37	8	hydrodynamic	hydrodynamic	ADJ
ap-7758	37	9	lubrication	lubrication	NOUN
ap-7758	37	10	using	use	VERB
ap-7758	37	11	stochastic	stochastic	ADJ
ap-7758	37	12	approaches	approach	NOUN
ap-7758	37	13	.	.	PUNCT
ap-7758	38	1	for	for	ADP
ap-7758	38	2	example	example	NOUN
ap-7758	38	3	,	,	PUNCT
ap-7758	38	4	the	the	DET
ap-7758	38	5	stochastic	stochastic	ADJ
ap-7758	38	6	model	model	NOUN
ap-7758	38	7	for	for	ADP
ap-7758	38	8	rough	rough	ADJ
ap-7758	38	9	surfaces	surface	NOUN
ap-7758	38	10	have	have	AUX
ap-7758	38	11	been	be	AUX
ap-7758	38	12	recognised	recognise	VERB
ap-7758	38	13	by	by	ADP
ap-7758	38	14	christensen	christensen	PROPN
ap-7758	38	15	[	[	X
ap-7758	38	16	13	13	NUM
ap-7758	38	17	]	]	PUNCT
ap-7758	38	18	.	.	PUNCT
ap-7758	39	1	numerous	numerous	ADJ
ap-7758	39	2	investigators	investigator	NOUN
ap-7758	39	3	have	have	AUX
ap-7758	39	4	considered	consider	VERB
ap-7758	39	5	this	this	DET
ap-7758	39	6	model	model	NOUN
ap-7758	39	7	to	to	PART
ap-7758	39	8	examine	examine	VERB
ap-7758	39	9	the	the	DET
ap-7758	39	10	impact	impact	NOUN
ap-7758	39	11	of	of	ADP
ap-7758	39	12	roughness	roughness	NOUN
ap-7758	39	13	for	for	ADP
ap-7758	39	14	distinctive	distinctive	ADJ
ap-7758	39	15	bearings	bearing	NOUN
ap-7758	39	16	along	along	ADP
ap-7758	39	17	with	with	ADP
ap-7758	39	18	porous	porous	ADJ
ap-7758	39	19	medium	medium	NOUN
ap-7758	39	20	,	,	PUNCT
ap-7758	39	21	such	such	ADJ
ap-7758	39	22	as	as	ADP
ap-7758	39	23	bhat	bhat	PROPN
ap-7758	39	24	et	et	PROPN
ap-7758	39	25	al	al	PROPN
ap-7758	39	26	.	.	PUNCT
ap-7758	40	1	[	[	X
ap-7758	40	2	14	14	NUM
ap-7758	40	3	]	]	PUNCT
ap-7758	40	4	for	for	ADP
ap-7758	40	5	annular	annular	ADJ
ap-7758	40	6	discs	disc	NOUN
ap-7758	40	7	,	,	PUNCT
ap-7758	40	8	naduvinamani	naduvinamani	ADJ
ap-7758	40	9	et	et	NOUN
ap-7758	40	10	574	574	NUM
ap-7758	40	11	https://doi.org/10.14311/ap.2022.62.0574	https://doi.org/10.14311/ap.2022.62.0574	NOUN
ap-7758	40	12	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-7758	40	13	https://www.cvut.cz/en	https://www.cvut.cz/en	NUM
ap-7758	40	14	vol	vol	NOUN
ap-7758	40	15	.	.	PROPN
ap-7758	41	1	62	62	NUM
ap-7758	41	2	no	no	INTJ
ap-7758	41	3	.	.	PUNCT
ap-7758	42	1	6/2022	6/2022	NUM
ap-7758	42	2	study	study	NOUN
ap-7758	42	3	of	of	ADP
ap-7758	42	4	surface	surface	NOUN
ap-7758	42	5	roughness	roughness	NOUN
ap-7758	42	6	with	with	ADP
ap-7758	42	7	mhd	mhd	NOUN
ap-7758	42	8	and	and	CCONJ
ap-7758	42	9	couple	couple	NOUN
ap-7758	42	10	stress	stress	NOUN
ap-7758	42	11	fluid	fluid	NOUN
ap-7758	42	12	.	.	PUNCT
ap-7758	42	13	.	.	PUNCT
ap-7758	42	14	.	.	PUNCT
ap-7758	43	1	figure	figure	VERB
ap-7758	43	2	1	1	NUM
ap-7758	43	3	.	.	PUNCT
ap-7758	44	1	geometry	geometry	NOUN
ap-7758	44	2	of	of	ADP
ap-7758	44	3	rough	rough	ADJ
ap-7758	44	4	porous	porous	ADJ
ap-7758	44	5	curved	curved	ADJ
ap-7758	44	6	annular	annular	ADJ
ap-7758	44	7	plates	plate	NOUN
ap-7758	44	8	.	.	PUNCT
ap-7758	45	1	al	al	PROPN
ap-7758	45	2	.	.	PUNCT
ap-7758	46	1	[	[	X
ap-7758	46	2	15	15	NUM
ap-7758	46	3	]	]	X
ap-7758	46	4	for	for	ADP
ap-7758	46	5	circular	circular	ADJ
ap-7758	46	6	stepped	step	VERB
ap-7758	46	7	plates	plate	NOUN
ap-7758	46	8	,	,	PUNCT
ap-7758	46	9	syeda	syeda	PROPN
ap-7758	46	10	et	et	PROPN
ap-7758	46	11	al	al	PROPN
ap-7758	46	12	.	.	PUNCT
ap-7758	47	1	[	[	X
ap-7758	47	2	16	16	NUM
ap-7758	47	3	]	]	PUNCT
ap-7758	47	4	for	for	ADP
ap-7758	47	5	elliptical	elliptical	ADJ
ap-7758	47	6	plates	plate	NOUN
ap-7758	47	7	,	,	PUNCT
ap-7758	47	8	hanumagowda	hanumagowda	X
ap-7758	47	9	et	et	PROPN
ap-7758	47	10	al	al	PROPN
ap-7758	47	11	.	.	PUNCT
ap-7758	48	1	[	[	X
ap-7758	48	2	17	17	NUM
ap-7758	48	3	]	]	PUNCT
ap-7758	48	4	for	for	ADP
ap-7758	48	5	circular	circular	ADJ
ap-7758	48	6	stepped	step	VERB
ap-7758	48	7	plates	plate	NOUN
ap-7758	48	8	,	,	PUNCT
ap-7758	48	9	biradar	biradar	NOUN
ap-7758	48	10	et	et	NOUN
ap-7758	48	11	al	al	PROPN
ap-7758	48	12	.	.	PUNCT
ap-7758	49	1	[	[	X
ap-7758	49	2	18	18	NUM
ap-7758	49	3	]	]	PUNCT
ap-7758	49	4	for	for	ADP
ap-7758	49	5	curved	curved	ADJ
ap-7758	49	6	annular	annular	ADJ
ap-7758	49	7	circular	circular	ADJ
ap-7758	49	8	plates	plate	NOUN
ap-7758	49	9	,	,	PUNCT
ap-7758	49	10	hanumagowda	hanumagowda	X
ap-7758	49	11	et	et	PROPN
ap-7758	49	12	al	al	PROPN
ap-7758	49	13	.	.	PUNCT
ap-7758	50	1	[	[	X
ap-7758	50	2	19	19	NUM
ap-7758	50	3	]	]	PUNCT
ap-7758	50	4	for	for	ADP
ap-7758	50	5	conical	conical	ADJ
ap-7758	50	6	bearing	bearing	NOUN
ap-7758	50	7	,	,	PUNCT
ap-7758	50	8	patel	patel	PROPN
ap-7758	50	9	et	et	PROPN
ap-7758	50	10	al	al	PROPN
ap-7758	50	11	.	.	PUNCT
ap-7758	51	1	[	[	X
ap-7758	51	2	20	20	NUM
ap-7758	51	3	]	]	PUNCT
ap-7758	51	4	for	for	ADP
ap-7758	51	5	long	long	ADJ
ap-7758	51	6	bearings	bearing	NOUN
ap-7758	51	7	,	,	PUNCT
ap-7758	51	8	sankar	sankar	NOUN
ap-7758	51	9	et	et	PROPN
ap-7758	51	10	al	al	PROPN
ap-7758	51	11	.	.	PUNCT
ap-7758	52	1	[	[	X
ap-7758	52	2	21	21	NUM
ap-7758	52	3	]	]	PUNCT
ap-7758	52	4	for	for	ADP
ap-7758	52	5	vertical	vertical	ADJ
ap-7758	52	6	annulus	annulus	NOUN
ap-7758	52	7	,	,	PUNCT
ap-7758	52	8	kiran	kiran	PROPN
ap-7758	52	9	et	et	PROPN
ap-7758	52	10	al	al	PROPN
ap-7758	52	11	.	.	PUNCT
ap-7758	53	1	[	[	X
ap-7758	53	2	22	22	NUM
ap-7758	53	3	]	]	PUNCT
ap-7758	53	4	for	for	ADP
ap-7758	53	5	porous	porous	ADJ
ap-7758	53	6	annulus	annulus	NOUN
ap-7758	53	7	,	,	PUNCT
ap-7758	53	8	shimpi	shimpi	NOUN
ap-7758	53	9	et	et	PROPN
ap-7758	53	10	al	al	PROPN
ap-7758	53	11	.	.	PUNCT
ap-7758	54	1	[	[	X
ap-7758	54	2	23	23	NUM
ap-7758	54	3	]	]	PUNCT
ap-7758	54	4	for	for	ADP
ap-7758	54	5	curved	curved	ADJ
ap-7758	54	6	porous	porous	ADJ
ap-7758	54	7	annular	annular	ADJ
ap-7758	54	8	plates	plate	NOUN
ap-7758	54	9	,	,	PUNCT
ap-7758	54	10	and	and	CCONJ
ap-7758	54	11	niru	niru	VERB
ap-7758	54	12	et	et	PROPN
ap-7758	54	13	al	al	PROPN
ap-7758	54	14	.	.	PUNCT
ap-7758	55	1	[	[	X
ap-7758	55	2	24	24	NUM
ap-7758	55	3	]	]	PUNCT
ap-7758	55	4	for	for	ADP
ap-7758	55	5	curved	curved	ADJ
ap-7758	55	6	porous	porous	ADJ
ap-7758	55	7	annular	annular	ADJ
ap-7758	55	8	plates	plate	NOUN
ap-7758	55	9	considering	consider	VERB
ap-7758	55	10	the	the	DET
ap-7758	55	11	rotation	rotation	NOUN
ap-7758	55	12	of	of	ADP
ap-7758	55	13	magnetic	magnetic	ADJ
ap-7758	55	14	particles	particle	NOUN
ap-7758	55	15	and	and	CCONJ
ap-7758	55	16	slip	slip	VERB
ap-7758	55	17	velocity	velocity	NOUN
ap-7758	55	18	.	.	PUNCT
ap-7758	56	1	all	all	DET
ap-7758	56	2	these	these	DET
ap-7758	56	3	authors	author	NOUN
ap-7758	56	4	studied	study	VERB
ap-7758	56	5	the	the	DET
ap-7758	56	6	effect	effect	NOUN
ap-7758	56	7	of	of	ADP
ap-7758	56	8	roughness	roughness	NOUN
ap-7758	56	9	in	in	ADP
ap-7758	56	10	presence	presence	NOUN
ap-7758	56	11	of	of	ADP
ap-7758	56	12	porous	porous	ADJ
ap-7758	56	13	medium	medium	NOUN
ap-7758	56	14	and	and	CCONJ
ap-7758	56	15	concluded	conclude	VERB
ap-7758	56	16	that	that	SCONJ
ap-7758	56	17	the	the	DET
ap-7758	56	18	effect	effect	NOUN
ap-7758	56	19	of	of	ADP
ap-7758	56	20	radial	radial	ADJ
ap-7758	56	21	(	(	PUNCT
ap-7758	56	22	azimuthal	azimuthal	NOUN
ap-7758	56	23	)	)	PUNCT
ap-7758	56	24	roughness	roughness	NOUN
ap-7758	56	25	pattern	pattern	NOUN
ap-7758	56	26	on	on	ADP
ap-7758	56	27	the	the	DET
ap-7758	56	28	bearing	bear	VERB
ap-7758	56	29	surface	surface	NOUN
ap-7758	56	30	decrease	decrease	NOUN
ap-7758	56	31	(	(	PUNCT
ap-7758	56	32	increase	increase	VERB
ap-7758	56	33	)	)	PUNCT
ap-7758	56	34	the	the	DET
ap-7758	56	35	pressure	pressure	NOUN
ap-7758	56	36	,	,	PUNCT
ap-7758	56	37	load	load	NOUN
ap-7758	56	38	carrying	carry	VERB
ap-7758	56	39	capacity	capacity	NOUN
ap-7758	56	40	,	,	PUNCT
ap-7758	56	41	and	and	CCONJ
ap-7758	56	42	approach	approach	NOUN
ap-7758	56	43	of	of	ADP
ap-7758	56	44	squeeze	squeeze	NOUN
ap-7758	56	45	film	film	NOUN
ap-7758	56	46	time	time	NOUN
ap-7758	56	47	whereas	whereas	SCONJ
ap-7758	56	48	the	the	DET
ap-7758	56	49	permeability	permeability	NOUN
ap-7758	56	50	parameter	parameter	NOUN
ap-7758	56	51	decreases	decrease	VERB
ap-7758	56	52	these	these	DET
ap-7758	56	53	squeeze	squeeze	NOUN
ap-7758	56	54	film	film	NOUN
ap-7758	56	55	attributes	attribute	NOUN
ap-7758	56	56	as	as	ADP
ap-7758	56	57	compared	compare	VERB
ap-7758	56	58	to	to	ADP
ap-7758	56	59	a	a	DET
ap-7758	56	60	non	non	ADJ
ap-7758	56	61	-	-	ADJ
ap-7758	56	62	porous	porous	ADJ
ap-7758	56	63	case	case	NOUN
ap-7758	56	64	.	.	PUNCT
ap-7758	57	1	motivated	motivate	VERB
ap-7758	57	2	by	by	ADP
ap-7758	57	3	these	these	DET
ap-7758	57	4	investigations	investigation	NOUN
ap-7758	57	5	and	and	CCONJ
ap-7758	57	6	their	their	PRON
ap-7758	57	7	applications	application	NOUN
ap-7758	57	8	,	,	PUNCT
ap-7758	57	9	in	in	ADP
ap-7758	57	10	the	the	DET
ap-7758	57	11	present	present	ADJ
ap-7758	57	12	article	article	NOUN
ap-7758	57	13	,	,	PUNCT
ap-7758	57	14	the	the	DET
ap-7758	57	15	authors	author	NOUN
ap-7758	57	16	examine	examine	VERB
ap-7758	57	17	the	the	DET
ap-7758	57	18	combined	combine	VERB
ap-7758	57	19	impact	impact	NOUN
ap-7758	57	20	of	of	ADP
ap-7758	57	21	mhd	mhd	NOUN
ap-7758	57	22	and	and	CCONJ
ap-7758	57	23	surface	surface	NOUN
ap-7758	57	24	roughness	roughness	NOUN
ap-7758	57	25	on	on	ADP
ap-7758	57	26	the	the	DET
ap-7758	57	27	couple	couple	NOUN
ap-7758	57	28	stress	stress	NOUN
ap-7758	57	29	squeeze	squeeze	NOUN
ap-7758	57	30	film	film	NOUN
ap-7758	57	31	lubrication	lubrication	NOUN
ap-7758	57	32	between	between	ADP
ap-7758	57	33	curved	curved	ADJ
ap-7758	57	34	annular	annular	ADJ
ap-7758	57	35	plates	plate	NOUN
ap-7758	57	36	by	by	ADP
ap-7758	57	37	considering	consider	VERB
ap-7758	57	38	the	the	DET
ap-7758	57	39	porous	porous	ADJ
ap-7758	57	40	medium	medium	NOUN
ap-7758	57	41	.	.	PUNCT
ap-7758	58	1	the	the	DET
ap-7758	58	2	results	result	NOUN
ap-7758	58	3	are	be	AUX
ap-7758	58	4	analysed	analyse	VERB
ap-7758	58	5	for	for	ADP
ap-7758	58	6	different	different	ADJ
ap-7758	58	7	values	value	NOUN
ap-7758	58	8	of	of	ADP
ap-7758	58	9	the	the	DET
ap-7758	58	10	physical	physical	ADJ
ap-7758	58	11	parameters	parameter	NOUN
ap-7758	58	12	–	–	PUNCT
ap-7758	58	13	the	the	DET
ap-7758	58	14	pressure	pressure	NOUN
ap-7758	58	15	,	,	PUNCT
ap-7758	58	16	load	load	NOUN
ap-7758	58	17	bearing	bear	VERB
ap-7758	58	18	capacity	capacity	NOUN
ap-7758	58	19	and	and	CCONJ
ap-7758	58	20	squeeze	squeeze	VERB
ap-7758	58	21	film	film	NOUN
ap-7758	58	22	time	time	NOUN
ap-7758	58	23	.	.	PUNCT
ap-7758	59	1	the	the	DET
ap-7758	59	2	obtained	obtain	VERB
ap-7758	59	3	numerical	numerical	ADJ
ap-7758	59	4	results	result	NOUN
ap-7758	59	5	for	for	ADP
ap-7758	59	6	a	a	DET
ap-7758	59	7	special	special	ADJ
ap-7758	59	8	case	case	NOUN
ap-7758	59	9	are	be	AUX
ap-7758	59	10	found	find	VERB
ap-7758	59	11	to	to	PART
ap-7758	59	12	be	be	AUX
ap-7758	59	13	in	in	ADP
ap-7758	59	14	good	good	ADJ
ap-7758	59	15	agreement	agreement	NOUN
ap-7758	59	16	with	with	ADP
ap-7758	59	17	those	those	PRON
ap-7758	59	18	of	of	ADP
ap-7758	59	19	the	the	DET
ap-7758	59	20	results	result	NOUN
ap-7758	59	21	available	available	ADJ
ap-7758	59	22	in	in	ADP
ap-7758	59	23	the	the	DET
ap-7758	59	24	literature	literature	NOUN
ap-7758	59	25	.	.	PUNCT
ap-7758	60	1	furthermore	furthermore	ADV
ap-7758	60	2	,	,	PUNCT
ap-7758	60	3	the	the	DET
ap-7758	60	4	results	result	NOUN
ap-7758	60	5	obtained	obtain	VERB
ap-7758	60	6	reveal	reveal	VERB
ap-7758	60	7	many	many	ADJ
ap-7758	60	8	interesting	interesting	ADJ
ap-7758	60	9	behaviours	behaviour	NOUN
ap-7758	60	10	that	that	PRON
ap-7758	60	11	warrant	warrant	VERB
ap-7758	60	12	a	a	DET
ap-7758	60	13	further	further	ADJ
ap-7758	60	14	study	study	NOUN
ap-7758	60	15	of	of	ADP
ap-7758	60	16	the	the	DET
ap-7758	60	17	equations	equation	NOUN
ap-7758	60	18	related	relate	VERB
ap-7758	60	19	to	to	ADP
ap-7758	60	20	non	non	ADJ
ap-7758	60	21	-	-	ADJ
ap-7758	60	22	newtonian	newtonian	ADJ
ap-7758	60	23	couple	couple	NOUN
ap-7758	60	24	stress	stress	NOUN
ap-7758	60	25	fluid	fluid	NOUN
ap-7758	60	26	phenomena	phenomenon	NOUN
ap-7758	60	27	in	in	ADP
ap-7758	60	28	the	the	DET
ap-7758	60	29	presence	presence	NOUN
ap-7758	60	30	of	of	ADP
ap-7758	60	31	pressure	pressure	NOUN
ap-7758	60	32	dependent	dependent	ADJ
ap-7758	60	33	viscosity	viscosity	NOUN
ap-7758	60	34	and	and	CCONJ
ap-7758	60	35	slip	slip	VERB
ap-7758	60	36	velocity	velocity	NOUN
ap-7758	60	37	.	.	PUNCT
ap-7758	61	1	2	2	X
ap-7758	61	2	.	.	X
ap-7758	61	3	mathematical	mathematical	ADJ
ap-7758	61	4	formulation	formulation	NOUN
ap-7758	61	5	and	and	CCONJ
ap-7758	61	6	solution	solution	NOUN
ap-7758	61	7	the	the	DET
ap-7758	61	8	geometry	geometry	NOUN
ap-7758	61	9	of	of	ADP
ap-7758	61	10	rough	rough	ADJ
ap-7758	61	11	-	-	PUNCT
ap-7758	61	12	porous	porous	ADJ
ap-7758	61	13	curved	curved	ADJ
ap-7758	61	14	annular	annular	ADJ
ap-7758	61	15	plates	plate	NOUN
ap-7758	61	16	is	be	AUX
ap-7758	61	17	displayed	display	VERB
ap-7758	61	18	in	in	ADP
ap-7758	61	19	figure	figure	NOUN
ap-7758	61	20	1	1	NUM
ap-7758	61	21	,	,	PUNCT
ap-7758	61	22	having	have	VERB
ap-7758	61	23	internal	internal	ADJ
ap-7758	61	24	radius	radius	PROPN
ap-7758	61	25	b	b	PROPN
ap-7758	61	26	and	and	CCONJ
ap-7758	61	27	external	external	ADJ
ap-7758	61	28	radius	radius	NOUN
ap-7758	61	29	a.	a.	NOUN
ap-7758	61	30	the	the	DET
ap-7758	61	31	lower	low	ADJ
ap-7758	61	32	plate	plate	NOUN
ap-7758	61	33	with	with	ADP
ap-7758	61	34	permeable	permeable	ADJ
ap-7758	61	35	facing	facing	NOUN
ap-7758	61	36	of	of	ADP
ap-7758	61	37	thickness	thickness	NOUN
ap-7758	61	38	δ	δ	PROPN
ap-7758	61	39	is	be	AUX
ap-7758	61	40	fixed	fix	VERB
ap-7758	61	41	while	while	SCONJ
ap-7758	61	42	the	the	DET
ap-7758	61	43	upper	upper	ADJ
ap-7758	61	44	smooth	smooth	ADJ
ap-7758	61	45	plate	plate	NOUN
ap-7758	61	46	is	be	AUX
ap-7758	61	47	moving	move	VERB
ap-7758	61	48	with	with	ADP
ap-7758	61	49	a	a	DET
ap-7758	61	50	velocity	velocity	NOUN
ap-7758	61	51	v	v	X
ap-7758	61	52	=	=	SYM
ap-7758	61	53	−dh1	−dh1	PROPN
ap-7758	61	54	/	/	SYM
ap-7758	61	55	dt	dt	NOUN
ap-7758	61	56	towards	towards	ADP
ap-7758	61	57	it	it	PRON
ap-7758	61	58	.	.	PUNCT
ap-7758	62	1	a	a	DET
ap-7758	62	2	transverse	transverse	NOUN
ap-7758	62	3	magnetic	magnetic	ADJ
ap-7758	62	4	field	field	NOUN
ap-7758	62	5	b0	b0	NOUN
ap-7758	62	6	is	be	AUX
ap-7758	62	7	applied	apply	VERB
ap-7758	62	8	vertical	vertical	ADJ
ap-7758	62	9	to	to	ADP
ap-7758	62	10	the	the	DET
ap-7758	62	11	plates	plate	NOUN
ap-7758	62	12	.	.	PUNCT
ap-7758	63	1	the	the	DET
ap-7758	63	2	shape	shape	NOUN
ap-7758	63	3	of	of	ADP
ap-7758	63	4	the	the	DET
ap-7758	63	5	film	film	NOUN
ap-7758	63	6	thickness	thickness	NOUN
ap-7758	63	7	h	h	NOUN
ap-7758	63	8	is	be	AUX
ap-7758	63	9	an	an	DET
ap-7758	63	10	exponential	exponential	ADJ
ap-7758	63	11	type	type	NOUN
ap-7758	63	12	as	as	ADP
ap-7758	63	13	in	in	ADP
ap-7758	63	14	jaw	jaw	NOUN
ap-7758	63	15	-	-	PUNCT
ap-7758	63	16	rein	rein	NOUN
ap-7758	63	17	lin	lin	PROPN
ap-7758	63	18	et	et	PROPN
ap-7758	63	19	al	al	PROPN
ap-7758	63	20	.	.	PUNCT
ap-7758	64	1	[	[	X
ap-7758	64	2	25	25	NUM
ap-7758	64	3	]	]	X
ap-7758	64	4	h	h	NOUN
ap-7758	64	5	=	=	PUNCT
ap-7758	64	6	h1	h1	PROPN
ap-7758	64	7	exp(−βr2	exp(−βr2	PROPN
ap-7758	64	8	/	/	SYM
ap-7758	64	9	a2	a2	PROPN
ap-7758	64	10	)	)	PUNCT
ap-7758	64	11	,	,	PUNCT
ap-7758	64	12	b	b	X
ap-7758	64	13	≤	≤	NUM
ap-7758	64	14	r	r	NOUN
ap-7758	64	15	≤	≤	NOUN
ap-7758	64	16	a	a	PRON
ap-7758	64	17	,	,	PUNCT
ap-7758	64	18	(	(	PUNCT
ap-7758	64	19	1	1	X
ap-7758	64	20	)	)	PUNCT
ap-7758	64	21	where	where	SCONJ
ap-7758	64	22	β	β	PROPN
ap-7758	64	23	is	be	AUX
ap-7758	64	24	the	the	DET
ap-7758	64	25	curvature	curvature	NOUN
ap-7758	64	26	parameter	parameter	NOUN
ap-7758	64	27	and	and	CCONJ
ap-7758	64	28	h1	h1	NOUN
ap-7758	64	29	is	be	AUX
ap-7758	64	30	the	the	DET
ap-7758	64	31	initial	initial	ADJ
ap-7758	64	32	minimum	minimum	ADJ
ap-7758	64	33	film	film	NOUN
ap-7758	64	34	thickness	thickness	NOUN
ap-7758	64	35	.	.	PUNCT
ap-7758	65	1	in	in	ADP
ap-7758	65	2	view	view	NOUN
ap-7758	65	3	of	of	ADP
ap-7758	65	4	hydrodynamic	hydrodynamic	ADJ
ap-7758	65	5	and	and	CCONJ
ap-7758	65	6	hydro	hydro	NOUN
ap-7758	65	7	-	-	PUNCT
ap-7758	65	8	magnetic	magnetic	ADJ
ap-7758	65	9	lubrication	lubrication	NOUN
ap-7758	65	10	,	,	PUNCT
ap-7758	65	11	the	the	DET
ap-7758	65	12	governing	govern	VERB
ap-7758	65	13	equations	equation	NOUN
ap-7758	65	14	,	,	PUNCT
ap-7758	65	15	which	which	PRON
ap-7758	65	16	satisfies	satisfy	VERB
ap-7758	65	17	stokes	stoke	NOUN
ap-7758	65	18	[	[	X
ap-7758	65	19	3	3	NUM
ap-7758	65	20	]	]	PUNCT
ap-7758	65	21	model	model	NOUN
ap-7758	65	22	,	,	PUNCT
ap-7758	65	23	are	be	AUX
ap-7758	65	24	considered	consider	VERB
ap-7758	65	25	as	as	ADP
ap-7758	65	26	µ	µ	X
ap-7758	65	27	∂2u	∂2u	PROPN
ap-7758	65	28	∂z2	∂z2	PROPN
ap-7758	65	29	−	−	PROPN
ap-7758	65	30	η	η	PROPN
ap-7758	65	31	∂4u	∂4u	PROPN
ap-7758	65	32	∂z4	∂z4	ADP
ap-7758	65	33	−	−	PROPN
ap-7758	65	34	σb2	σb2	NOUN
ap-7758	65	35	0u	0u	NOUN
ap-7758	65	36	=	=	PUNCT
ap-7758	66	1	∂p	∂p	PROPN
ap-7758	66	2	∂r	∂r	INTJ
ap-7758	66	3	,	,	PUNCT
ap-7758	66	4	(	(	PUNCT
ap-7758	66	5	2	2	X
ap-7758	66	6	)	)	PUNCT
ap-7758	66	7	∂p	∂p	PROPN
ap-7758	66	8	∂z	∂z	PROPN
ap-7758	66	9	=	=	NOUN
ap-7758	66	10	0	0	PROPN
ap-7758	66	11	,	,	PUNCT
ap-7758	66	12	(	(	PUNCT
ap-7758	66	13	3	3	X
ap-7758	66	14	)	)	SYM
ap-7758	66	15	1	1	NUM
ap-7758	66	16	r	r	NOUN
ap-7758	66	17	∂	∂	NOUN
ap-7758	66	18	∂r	∂r	PROPN
ap-7758	66	19	(	(	PUNCT
ap-7758	66	20	ru	ru	PROPN
ap-7758	66	21	)	)	PUNCT
ap-7758	66	22	+	+	NOUN
ap-7758	67	1	∂w	∂w	PROPN
ap-7758	67	2	∂z	∂z	PROPN
ap-7758	67	3	=	=	SYM
ap-7758	67	4	0	0	PROPN
ap-7758	67	5	,	,	PUNCT
ap-7758	67	6	(	(	PUNCT
ap-7758	67	7	4	4	NUM
ap-7758	67	8	)	)	PUNCT
ap-7758	67	9	in	in	ADP
ap-7758	67	10	which	which	PRON
ap-7758	67	11	the	the	DET
ap-7758	67	12	components	component	NOUN
ap-7758	67	13	of	of	ADP
ap-7758	67	14	velocities	velocity	NOUN
ap-7758	67	15	are	be	AUX
ap-7758	67	16	u	u	NOUN
ap-7758	67	17	and	and	CCONJ
ap-7758	67	18	w	w	NOUN
ap-7758	67	19	in	in	ADP
ap-7758	67	20	r	r	NOUN
ap-7758	67	21	and	and	CCONJ
ap-7758	67	22	z	z	NOUN
ap-7758	67	23	direction	direction	NOUN
ap-7758	67	24	,	,	PUNCT
ap-7758	67	25	respectively	respectively	ADV
ap-7758	67	26	,	,	PUNCT
ap-7758	67	27	p	p	PRON
ap-7758	67	28	represents	represent	VERB
ap-7758	67	29	the	the	DET
ap-7758	67	30	pressure	pressure	NOUN
ap-7758	67	31	in	in	ADP
ap-7758	67	32	the	the	DET
ap-7758	67	33	region	region	NOUN
ap-7758	67	34	,	,	PUNCT
ap-7758	67	35	η	η	PROPN
ap-7758	67	36	is	be	AUX
ap-7758	67	37	the	the	DET
ap-7758	67	38	materialistic	materialistic	ADJ
ap-7758	67	39	constant	constant	ADJ
ap-7758	67	40	,	,	PUNCT
ap-7758	67	41	σ	σ	PROPN
ap-7758	67	42	is	be	AUX
ap-7758	67	43	the	the	DET
ap-7758	67	44	electrical	electrical	ADJ
ap-7758	67	45	conductivity	conductivity	NOUN
ap-7758	67	46	and	and	CCONJ
ap-7758	67	47	b0	b0	NOUN
ap-7758	67	48	is	be	AUX
ap-7758	67	49	the	the	DET
ap-7758	67	50	applied	apply	VERB
ap-7758	67	51	magnetic	magnetic	ADJ
ap-7758	67	52	field	field	NOUN
ap-7758	67	53	.	.	PUNCT
ap-7758	68	1	575	575	NUM
ap-7758	68	2	salma	salma	PROPN
ap-7758	68	3	alla	alla	PUNCT
ap-7758	68	4	baksh	baksh	PROPN
ap-7758	68	5	,	,	PUNCT
ap-7758	68	6	hanumagowda	hanumagowda	PROPN
ap-7758	68	7	bannihalli	bannihalli	PROPN
ap-7758	68	8	naganagowda	naganagowda	PROPN
ap-7758	68	9	acta	acta	PROPN
ap-7758	68	10	polytechnica	polytechnica	PROPN
ap-7758	68	11	for	for	ADP
ap-7758	68	12	the	the	DET
ap-7758	68	13	porous	porous	ADJ
ap-7758	68	14	region	region	NOUN
ap-7758	68	15	1	1	NUM
ap-7758	68	16	r	r	NOUN
ap-7758	68	17	∂	∂	NOUN
ap-7758	68	18	∂r	∂r	PROPN
ap-7758	68	19	(	(	PUNCT
ap-7758	68	20	ru∗	ru∗	PROPN
ap-7758	68	21	)	)	PUNCT
ap-7758	68	22	+	+	NUM
ap-7758	68	23	∂w∗	∂w∗	NOUN
ap-7758	68	24	∂z	∂z	PROPN
ap-7758	69	1	=	=	NOUN
ap-7758	69	2	0	0	PROPN
ap-7758	69	3	.	.	PUNCT
ap-7758	70	1	(	(	PUNCT
ap-7758	70	2	5	5	X
ap-7758	70	3	)	)	PUNCT
ap-7758	70	4	governing	govern	VERB
ap-7758	70	5	modified	modify	VERB
ap-7758	70	6	darcy	darcy	PROPN
ap-7758	70	7	’s	’s	PART
ap-7758	70	8	equation	equation	NOUN
ap-7758	70	9	given	give	VERB
ap-7758	70	10	by	by	ADP
ap-7758	70	11	biradar	biradar	NOUN
ap-7758	70	12	et	et	NOUN
ap-7758	70	13	al	al	PROPN
ap-7758	70	14	.	.	PUNCT
ap-7758	71	1	[	[	X
ap-7758	71	2	26	26	NUM
ap-7758	71	3	]	]	PUNCT
ap-7758	71	4	,	,	PUNCT
ap-7758	71	5	the	the	DET
ap-7758	71	6	velocity	velocity	NOUN
ap-7758	71	7	components	component	NOUN
ap-7758	71	8	u∗	u∗	VERB
ap-7758	71	9	and	and	CCONJ
ap-7758	71	10	w∗	w∗	NOUN
ap-7758	71	11	in	in	ADP
ap-7758	71	12	porous	porous	ADJ
ap-7758	71	13	region	region	NOUN
ap-7758	71	14	are	be	AUX
ap-7758	71	15	u∗	u∗	ADJ
ap-7758	71	16	=	=	PUNCT
ap-7758	71	17	−k	−k	PROPN
ap-7758	71	18	µ	µ	X
ap-7758	71	19	(	(	PUNCT
ap-7758	71	20	1	1	NUM
ap-7758	71	21	−	−	PROPN
ap-7758	71	22	φ	φ	PROPN
ap-7758	72	1	+	+	CCONJ
ap-7758	72	2	km2	km2	PROPN
ap-7758	72	3	mh2	mh2	PROPN
ap-7758	72	4	0	0	NUM
ap-7758	72	5	)	)	PUNCT
ap-7758	73	1	∂p∗	∂p∗	INTJ
ap-7758	74	1	∂r	∂r	INTJ
ap-7758	74	2	,	,	PUNCT
ap-7758	74	3	(	(	PUNCT
ap-7758	74	4	6	6	NUM
ap-7758	74	5	)	)	PUNCT
ap-7758	74	6	w∗	w∗	NOUN
ap-7758	74	7	=	=	SYM
ap-7758	74	8	−k	−k	PROPN
ap-7758	74	9	µ(1	µ(1	PROPN
ap-7758	75	1	−	−	PROPN
ap-7758	75	2	φ	φ	PROPN
ap-7758	75	3	)	)	PUNCT
ap-7758	75	4	∂p∗	∂p∗	PROPN
ap-7758	75	5	∂z	∂z	PROPN
ap-7758	75	6	,	,	PUNCT
ap-7758	75	7	(	(	PUNCT
ap-7758	75	8	7	7	X
ap-7758	75	9	)	)	PUNCT
ap-7758	75	10	where	where	SCONJ
ap-7758	75	11	p∗	p∗	NOUN
ap-7758	75	12	is	be	AUX
ap-7758	75	13	the	the	DET
ap-7758	75	14	pressure	pressure	NOUN
ap-7758	75	15	in	in	ADP
ap-7758	75	16	the	the	DET
ap-7758	75	17	porous	porous	ADJ
ap-7758	75	18	region	region	NOUN
ap-7758	75	19	,	,	PUNCT
ap-7758	75	20	k	k	PROPN
ap-7758	75	21	is	be	AUX
ap-7758	75	22	the	the	DET
ap-7758	75	23	permeability	permeability	NOUN
ap-7758	75	24	parameter	parameter	NOUN
ap-7758	75	25	,	,	PUNCT
ap-7758	75	26	φ	φ	PROPN
ap-7758	75	27	is	be	AUX
ap-7758	75	28	the	the	DET
ap-7758	75	29	ratio	ratio	NOUN
ap-7758	75	30	of	of	ADP
ap-7758	75	31	the	the	DET
ap-7758	75	32	microstructure	microstructure	ADJ
ap-7758	75	33	size	size	NOUN
ap-7758	75	34	to	to	PART
ap-7758	75	35	pore	pore	ADJ
ap-7758	75	36	size	size	NOUN
ap-7758	75	37	,	,	PUNCT
ap-7758	75	38	m	m	PROPN
ap-7758	75	39	=	=	SYM
ap-7758	75	40	b0h0	b0h0	PROPN
ap-7758	75	41	(	(	PUNCT
ap-7758	75	42	σ	σ	PROPN
ap-7758	75	43	µ	µ	X
ap-7758	75	44	)	)	PUNCT
ap-7758	75	45	1/2	1/2	NUM
ap-7758	75	46	is	be	AUX
ap-7758	75	47	the	the	DET
ap-7758	75	48	hartmann	hartmann	PROPN
ap-7758	75	49	number	number	NOUN
ap-7758	75	50	.	.	PUNCT
ap-7758	76	1	the	the	DET
ap-7758	76	2	velocity	velocity	NOUN
ap-7758	76	3	boundary	boundary	ADJ
ap-7758	76	4	conditions	condition	NOUN
ap-7758	76	5	are	be	AUX
ap-7758	76	6	:	:	PUNCT
ap-7758	76	7	•	•	ADJ
ap-7758	76	8	for	for	ADP
ap-7758	76	9	lower	low	ADJ
ap-7758	76	10	rough	rough	ADJ
ap-7758	76	11	-	-	PUNCT
ap-7758	76	12	porous	porous	ADJ
ap-7758	76	13	curved	curved	ADJ
ap-7758	76	14	annular	annular	ADJ
ap-7758	76	15	surface	surface	NOUN
ap-7758	76	16	at	at	ADP
ap-7758	76	17	z	z	NOUN
ap-7758	76	18	=	=	SYM
ap-7758	76	19	0	0	NUM
ap-7758	76	20	u	u	NOUN
ap-7758	76	21	=	=	NOUN
ap-7758	76	22	0	0	PROPN
ap-7758	76	23	,	,	PUNCT
ap-7758	76	24	∂2u	∂2u	PROPN
ap-7758	76	25	∂z2	∂z2	PROPN
ap-7758	76	26	=	=	SYM
ap-7758	76	27	0	0	PROPN
ap-7758	76	28	,	,	PUNCT
ap-7758	76	29	(	(	PUNCT
ap-7758	76	30	vanishing	vanish	VERB
ap-7758	76	31	of	of	ADP
ap-7758	76	32	couple	couple	NOUN
ap-7758	76	33	stresses	stress	NOUN
ap-7758	76	34	)	)	PUNCT
ap-7758	76	35	(	(	PUNCT
ap-7758	76	36	8a	8a	NUM
ap-7758	76	37	)	)	PUNCT
ap-7758	76	38	w	w	NOUN
ap-7758	77	1	=	=	NOUN
ap-7758	77	2	0	0	PROPN
ap-7758	77	3	.	.	PUNCT
ap-7758	78	1	(	(	PUNCT
ap-7758	78	2	8b	8b	NUM
ap-7758	78	3	)	)	PUNCT
ap-7758	78	4	•	•	NOUN
ap-7758	78	5	for	for	ADP
ap-7758	78	6	upper	upper	ADJ
ap-7758	78	7	curved	curved	ADJ
ap-7758	78	8	annular	annular	ADJ
ap-7758	78	9	surface	surface	NOUN
ap-7758	78	10	at	at	ADP
ap-7758	78	11	z	z	NOUN
ap-7758	78	12	=	=	SYM
ap-7758	78	13	h	h	NOUN
ap-7758	78	14	u	u	NOUN
ap-7758	78	15	=	=	PROPN
ap-7758	78	16	0	0	PROPN
ap-7758	78	17	,	,	PUNCT
ap-7758	78	18	∂2u	∂2u	PROPN
ap-7758	78	19	∂z2	∂z2	PROPN
ap-7758	78	20	=	=	SYM
ap-7758	78	21	0	0	PROPN
ap-7758	78	22	,	,	PUNCT
ap-7758	78	23	(	(	PUNCT
ap-7758	78	24	vanishing	vanish	VERB
ap-7758	78	25	of	of	ADP
ap-7758	78	26	couple	couple	NOUN
ap-7758	78	27	stresses	stress	NOUN
ap-7758	78	28	)	)	PUNCT
ap-7758	78	29	(	(	PUNCT
ap-7758	78	30	9a	9a	NOUN
ap-7758	78	31	)	)	PUNCT
ap-7758	78	32	w	w	NOUN
ap-7758	78	33	=	=	SYM
ap-7758	78	34	v	v	NOUN
ap-7758	78	35	=	=	NOUN
ap-7758	78	36	−∂h1	−∂h1	PROPN
ap-7758	78	37	∂t	∂t	PROPN
ap-7758	78	38	.	.	PUNCT
ap-7758	79	1	(	(	PUNCT
ap-7758	79	2	9b	9b	NOUN
ap-7758	79	3	)	)	PUNCT
ap-7758	79	4	solving	solve	VERB
ap-7758	79	5	equation	equation	NOUN
ap-7758	79	6	(	(	PUNCT
ap-7758	79	7	1	1	NUM
ap-7758	79	8	)	)	PUNCT
ap-7758	79	9	subject	subject	NOUN
ap-7758	79	10	to	to	ADP
ap-7758	79	11	boundary	boundary	ADJ
ap-7758	79	12	conditions	condition	NOUN
ap-7758	79	13	(	(	PUNCT
ap-7758	79	14	8a	8a	NUM
ap-7758	79	15	)	)	PUNCT
ap-7758	79	16	and	and	CCONJ
ap-7758	79	17	(	(	PUNCT
ap-7758	79	18	8b	8b	NUM
ap-7758	79	19	)	)	PUNCT
ap-7758	79	20	,	,	PUNCT
ap-7758	79	21	the	the	DET
ap-7758	79	22	expression	expression	NOUN
ap-7758	79	23	for	for	ADP
ap-7758	79	24	the	the	DET
ap-7758	79	25	velocity	velocity	NOUN
ap-7758	79	26	component	component	NOUN
ap-7758	79	27	is	be	AUX
ap-7758	79	28	u	u	NOUN
ap-7758	79	29	=	=	PUNCT
ap-7758	79	30	{	{	PUNCT
ap-7758	79	31	(	(	PUNCT
ap-7758	79	32	g1	g1	PROPN
ap-7758	79	33	−	−	PROPN
ap-7758	79	34	g2	g2	PROPN
ap-7758	79	35	)	)	PUNCT
ap-7758	79	36	−	−	ADP
ap-7758	79	37	1	1	NUM
ap-7758	79	38	}	}	PUNCT
ap-7758	79	39	h2	h2	NOUN
ap-7758	79	40	0	0	NUM
ap-7758	80	1	µm2	µm2	NOUN
ap-7758	80	2	∂p	∂p	PROPN
ap-7758	80	3	∂r	∂r	INTJ
ap-7758	80	4	.	.	PUNCT
ap-7758	81	1	(	(	PUNCT
ap-7758	81	2	10	10	NUM
ap-7758	81	3	)	)	PUNCT
ap-7758	81	4	here	here	ADV
ap-7758	81	5	,	,	PUNCT
ap-7758	81	6	g1	g1	PROPN
ap-7758	81	7	=	=	SYM
ap-7758	81	8	g11	g11	PROPN
ap-7758	81	9	,	,	PUNCT
ap-7758	81	10	g2	g2	PROPN
ap-7758	81	11	=	=	PUNCT
ap-7758	81	12	g12	g12	PROPN
ap-7758	81	13	,	,	PUNCT
ap-7758	81	14	for	for	ADP
ap-7758	81	15	4m2l2	4m2l2	PROPN
ap-7758	81	16	/	/	SYM
ap-7758	81	17	h2	h2	NOUN
ap-7758	81	18	0	0	PUNCT
ap-7758	81	19	<	<	X
ap-7758	81	20	1	1	NUM
ap-7758	81	21	(	(	PUNCT
ap-7758	81	22	11a	11a	NOUN
ap-7758	81	23	)	)	PUNCT
ap-7758	81	24	g1	g1	PROPN
ap-7758	81	25	=	=	SYM
ap-7758	81	26	g21	g21	PROPN
ap-7758	81	27	,	,	PUNCT
ap-7758	81	28	g2	g2	PROPN
ap-7758	81	29	=	=	SYM
ap-7758	81	30	g22	g22	PROPN
ap-7758	81	31	,	,	PUNCT
ap-7758	81	32	for	for	ADP
ap-7758	81	33	4m2l2	4m2l2	PROPN
ap-7758	81	34	/	/	SYM
ap-7758	81	35	h2	h2	NOUN
ap-7758	81	36	0	0	NUM
ap-7758	82	1	=	=	SYM
ap-7758	82	2	1	1	NUM
ap-7758	82	3	(	(	PUNCT
ap-7758	82	4	11b	11b	NOUN
ap-7758	82	5	)	)	PUNCT
ap-7758	82	6	g1	g1	NOUN
ap-7758	82	7	=	=	SYM
ap-7758	82	8	g31	g31	PROPN
ap-7758	82	9	,	,	PUNCT
ap-7758	82	10	g2	g2	PROPN
ap-7758	82	11	=	=	PUNCT
ap-7758	82	12	g32	g32	NOUN
ap-7758	82	13	,	,	PUNCT
ap-7758	82	14	for	for	ADP
ap-7758	82	15	4m2l2	4m2l2	PROPN
ap-7758	82	16	/	/	SYM
ap-7758	82	17	h2	h2	PROPN
ap-7758	82	18	0	0	PUNCT
ap-7758	82	19	>	>	SYM
ap-7758	82	20	1	1	NUM
ap-7758	82	21	(	(	PUNCT
ap-7758	82	22	11c	11c	NOUN
ap-7758	82	23	)	)	PUNCT
ap-7758	82	24	the	the	DET
ap-7758	82	25	associated	associated	ADJ
ap-7758	82	26	relations	relation	NOUN
ap-7758	82	27	in	in	ADP
ap-7758	82	28	equations	equation	NOUN
ap-7758	82	29	(	(	PUNCT
ap-7758	82	30	11a	11a	NOUN
ap-7758	82	31	)	)	PUNCT
ap-7758	82	32	,	,	PUNCT
ap-7758	82	33	(	(	PUNCT
ap-7758	82	34	11b	11b	NOUN
ap-7758	82	35	)	)	PUNCT
ap-7758	82	36	and	and	CCONJ
ap-7758	82	37	(	(	PUNCT
ap-7758	82	38	11c	11c	NOUN
ap-7758	82	39	)	)	PUNCT
ap-7758	82	40	are	be	AUX
ap-7758	82	41	given	give	VERB
ap-7758	82	42	in	in	ADP
ap-7758	82	43	appendix	appendix	ADJ
ap-7758	82	44	a.	a.	NOUN
ap-7758	82	45	the	the	DET
ap-7758	82	46	continuity	continuity	NOUN
ap-7758	82	47	equation	equation	NOUN
ap-7758	82	48	in	in	ADP
ap-7758	82	49	polar	polar	ADJ
ap-7758	82	50	form	form	NOUN
ap-7758	82	51	is	be	AUX
ap-7758	82	52	obtained	obtain	VERB
ap-7758	82	53	by	by	ADP
ap-7758	82	54	integrating	integrate	VERB
ap-7758	82	55	equation	equation	NOUN
ap-7758	82	56	(	(	PUNCT
ap-7758	82	57	3	3	NUM
ap-7758	82	58	)	)	PUNCT
ap-7758	82	59	over	over	ADP
ap-7758	82	60	film	film	NOUN
ap-7758	82	61	thickness	thickness	NOUN
ap-7758	82	62	using	use	VERB
ap-7758	82	63	the	the	DET
ap-7758	82	64	boundary	boundary	ADJ
ap-7758	82	65	conditions	condition	NOUN
ap-7758	82	66	(	(	PUNCT
ap-7758	82	67	8b	8b	NUM
ap-7758	82	68	)	)	PUNCT
ap-7758	82	69	and	and	CCONJ
ap-7758	82	70	(	(	PUNCT
ap-7758	82	71	9b	9b	NUM
ap-7758	82	72	)	)	PUNCT
ap-7758	82	73	,	,	PUNCT
ap-7758	82	74	resulting	result	VERB
ap-7758	82	75	in	in	ADP
ap-7758	82	76	1	1	NUM
ap-7758	82	77	rµ	rµ	NOUN
ap-7758	82	78	∂	∂	NOUN
ap-7758	82	79	∂r	∂r	PROPN
ap-7758	82	80	{	{	PUNCT
ap-7758	82	81	rs(h	rs(h	PROPN
ap-7758	82	82	,	,	PUNCT
ap-7758	82	83	l	l	NOUN
ap-7758	82	84	,	,	PUNCT
ap-7758	82	85	m)∂p	m)∂p	PROPN
ap-7758	82	86	∂r	∂r	PROPN
ap-7758	82	87	}	}	PUNCT
ap-7758	82	88	=	=	PUNCT
ap-7758	82	89	wh	wh	NOUN
ap-7758	82	90	−	−	PROPN
ap-7758	82	91	w0	w0	PROPN
ap-7758	82	92	,	,	PUNCT
ap-7758	82	93	(	(	PUNCT
ap-7758	82	94	12	12	NUM
ap-7758	82	95	)	)	PUNCT
ap-7758	82	96	but	but	CCONJ
ap-7758	82	97	upper	upper	ADJ
ap-7758	82	98	surface	surface	NOUN
ap-7758	82	99	is	be	AUX
ap-7758	82	100	not	not	PART
ap-7758	82	101	porous	porous	ADJ
ap-7758	82	102	wh	wh	NOUN
ap-7758	82	103	=	=	SYM
ap-7758	82	104	0	0	X
ap-7758	82	105	.	.	PUNCT
ap-7758	83	1	the	the	DET
ap-7758	83	2	velocity	velocity	NOUN
ap-7758	83	3	component	component	NOUN
ap-7758	83	4	in	in	ADP
ap-7758	83	5	z	z	NOUN
ap-7758	83	6	-	-	PUNCT
ap-7758	83	7	direction	direction	NOUN
ap-7758	83	8	is	be	AUX
ap-7758	83	9	continuous	continuous	ADJ
ap-7758	83	10	at	at	ADP
ap-7758	83	11	the	the	DET
ap-7758	83	12	interface	interface	NOUN
ap-7758	83	13	between	between	ADP
ap-7758	83	14	the	the	DET
ap-7758	83	15	lower	low	ADJ
ap-7758	83	16	plate	plate	NOUN
ap-7758	83	17	and	and	CCONJ
ap-7758	83	18	film	film	NOUN
ap-7758	83	19	so	so	SCONJ
ap-7758	83	20	that	that	SCONJ
ap-7758	83	21	w0	w0	PROPN
ap-7758	83	22	=	=	SYM
ap-7758	84	1	−	−	PROPN
ap-7758	84	2	{	{	PUNCT
ap-7758	84	3	dh	dh	NOUN
ap-7758	84	4	dt	dt	X
ap-7758	85	1	+	+	CCONJ
ap-7758	85	2	k	k	PROPN
ap-7758	85	3	µ(1	µ(1	PROPN
ap-7758	85	4	−	−	PROPN
ap-7758	85	5	φ	φ	NUM
ap-7758	85	6	)	)	PUNCT
ap-7758	85	7	(	(	PUNCT
ap-7758	85	8	∂p∗	∂p∗	PROPN
ap-7758	85	9	∂z	∂z	PROPN
ap-7758	85	10	)	)	PUNCT
ap-7758	85	11	z=0	z=0	PROPN
ap-7758	85	12	}	}	PUNCT
ap-7758	85	13	.	.	PUNCT
ap-7758	86	1	(	(	PUNCT
ap-7758	86	2	13	13	NUM
ap-7758	86	3	)	)	PUNCT
ap-7758	86	4	by	by	ADP
ap-7758	86	5	substituting	substitute	VERB
ap-7758	86	6	equation	equation	NOUN
ap-7758	86	7	(	(	PUNCT
ap-7758	86	8	13	13	NUM
ap-7758	86	9	)	)	PUNCT
ap-7758	86	10	in	in	ADP
ap-7758	86	11	(	(	PUNCT
ap-7758	86	12	12	12	NUM
ap-7758	86	13	)	)	PUNCT
ap-7758	86	14	,	,	PUNCT
ap-7758	86	15	we	we	PRON
ap-7758	86	16	obtain	obtain	VERB
ap-7758	86	17	1	1	NUM
ap-7758	86	18	rµ	rµ	NOUN
ap-7758	86	19	∂	∂	NOUN
ap-7758	86	20	∂r	∂r	PROPN
ap-7758	86	21	{	{	PUNCT
ap-7758	86	22	rs(h	rs(h	PROPN
ap-7758	86	23	,	,	PUNCT
ap-7758	86	24	l	l	NOUN
ap-7758	86	25	,	,	PUNCT
ap-7758	87	1	m)∂p	m)∂p	PROPN
ap-7758	87	2	∂r	∂r	PROPN
ap-7758	87	3	}	}	PUNCT
ap-7758	87	4	=	=	PUNCT
ap-7758	87	5	dh	dh	NOUN
ap-7758	87	6	dt	dt	X
ap-7758	88	1	+	+	CCONJ
ap-7758	88	2	k	k	PROPN
ap-7758	88	3	µ(1	µ(1	PROPN
ap-7758	88	4	−	−	PROPN
ap-7758	88	5	φ	φ	NUM
ap-7758	88	6	)	)	PUNCT
ap-7758	88	7	(	(	PUNCT
ap-7758	88	8	∂p∗	∂p∗	PROPN
ap-7758	88	9	∂z	∂z	PROPN
ap-7758	88	10	)	)	PUNCT
ap-7758	88	11	z=0	z=0	PROPN
ap-7758	89	1	,	,	PUNCT
ap-7758	89	2	(	(	PUNCT
ap-7758	89	3	14	14	NUM
ap-7758	89	4	)	)	PUNCT
ap-7758	89	5	where	where	SCONJ
ap-7758	89	6	s(h	s(h	PROPN
ap-7758	89	7	,	,	PUNCT
ap-7758	89	8	l	l	NOUN
ap-7758	89	9	,	,	PUNCT
ap-7758	89	10	m	m	NOUN
ap-7758	89	11	)	)	PUNCT
ap-7758	89	12	=	=	PUNCT
ap-7758	90	1			NUM
ap-7758	90	2	h2	h2	NOUN
ap-7758	90	3	0	0	NUM
ap-7758	90	4	m2	m2	PROPN
ap-7758	90	5	{	{	PUNCT
ap-7758	90	6	2l	2l	X
ap-7758	90	7	(	(	PUNCT
ap-7758	90	8	a2−b2	a2−b2	NUM
ap-7758	90	9	)	)	PUNCT
ap-7758	90	10	(	(	PUNCT
ap-7758	90	11	b2	b2	VERB
ap-7758	90	12	a	a	DET
ap-7758	90	13	tanh	tanh	PROPN
ap-7758	90	14	ah	ah	INTJ
ap-7758	90	15	2l	2l	NUM
ap-7758	90	16	−	−	PROPN
ap-7758	90	17	a2	a2	PROPN
ap-7758	90	18	b	b	PROPN
ap-7758	90	19	tanh	tanh	PROPN
ap-7758	90	20	bh	bh	PROPN
ap-7758	90	21	2l	2l	PROPN
ap-7758	90	22	)	)	PUNCT
ap-7758	91	1	+	+	NUM
ap-7758	91	2	h	h	NOUN
ap-7758	91	3	}	}	PUNCT
ap-7758	91	4	for	for	ADP
ap-7758	91	5	m2l2	m2l2	PROPN
ap-7758	91	6	/	/	SYM
ap-7758	91	7	h2	h2	NOUN
ap-7758	91	8	0	0	PUNCT
ap-7758	91	9	<	<	X
ap-7758	91	10	1	1	NUM
ap-7758	91	11	,	,	PUNCT
ap-7758	91	12	h2	h2	NOUN
ap-7758	91	13	0	0	NUM
ap-7758	91	14	m2	m2	PROPN
ap-7758	91	15	{	{	PUNCT
ap-7758	91	16	h	h	NOUN
ap-7758	91	17	2	2	NUM
ap-7758	91	18	sec	sec	PROPN
ap-7758	91	19	h2	h2	NOUN
ap-7758	91	20	(	(	PUNCT
ap-7758	91	21	h	h	NOUN
ap-7758	91	22	2	2	NUM
ap-7758	91	23	√	√	NUM
ap-7758	91	24	2l	2l	NOUN
ap-7758	91	25	)	)	PUNCT
ap-7758	91	26	−	−	PROPN
ap-7758	91	27	3	3	NUM
ap-7758	91	28	√	√	NUM
ap-7758	91	29	2l	2l	NUM
ap-7758	91	30	tanh	tanh	NOUN
ap-7758	91	31	(	(	PUNCT
ap-7758	91	32	h	h	NOUN
ap-7758	91	33	2	2	NUM
ap-7758	91	34	√	√	NUM
ap-7758	91	35	2l	2l	NOUN
ap-7758	91	36	)	)	PUNCT
ap-7758	92	1	+	+	NUM
ap-7758	92	2	h	h	NOUN
ap-7758	92	3	}	}	PUNCT
ap-7758	92	4	for	for	ADP
ap-7758	92	5	m2l2	m2l2	PROPN
ap-7758	92	6	/	/	SYM
ap-7758	92	7	h2	h2	NOUN
ap-7758	92	8	0	0	NUM
ap-7758	92	9	=	=	SYM
ap-7758	92	10	1	1	NUM
ap-7758	92	11	,	,	PUNCT
ap-7758	92	12	h2	h2	NOUN
ap-7758	92	13	0	0	NUM
ap-7758	92	14	m2	m2	PROPN
ap-7758	92	15	{	{	PUNCT
ap-7758	92	16	2lh0	2lh0	NUM
ap-7758	92	17	m	m	VERB
ap-7758	92	18	(	(	PUNCT
ap-7758	92	19	(	(	PUNCT
ap-7758	92	20	a2	a2	NOUN
ap-7758	92	21	cot	cot	NOUN
ap-7758	92	22	θ−b2	θ−b2	NOUN
ap-7758	92	23	)	)	PUNCT
ap-7758	92	24	sin	sin	NOUN
ap-7758	92	25	b2h−(b2	b2h−(b2	PROPN
ap-7758	92	26	cot	cot	NOUN
ap-7758	92	27	θ+a2	θ+a2	NOUN
ap-7758	92	28	)	)	PUNCT
ap-7758	92	29	sin	sin	NOUN
ap-7758	92	30	a2h	a2h	ADV
ap-7758	92	31	cos	cos	ADP
ap-7758	92	32	b2h+cosh	b2h+cosh	ADV
ap-7758	92	33	a2h	a2h	ADV
ap-7758	92	34	)	)	PUNCT
ap-7758	93	1	+	+	CCONJ
ap-7758	93	2	h	h	NOUN
ap-7758	93	3	}	}	PUNCT
ap-7758	93	4	for	for	ADP
ap-7758	93	5	m2l2	m2l2	PROPN
ap-7758	93	6	/	/	SYM
ap-7758	93	7	h2	h2	NOUN
ap-7758	93	8	0	0	PUNCT
ap-7758	93	9	>	>	X
ap-7758	93	10	1	1	NUM
ap-7758	93	11	.	.	X
ap-7758	93	12	576	576	NUM
ap-7758	93	13	vol	vol	NOUN
ap-7758	93	14	.	.	PUNCT
ap-7758	94	1	62	62	NUM
ap-7758	94	2	no	no	INTJ
ap-7758	94	3	.	.	PUNCT
ap-7758	95	1	6/2022	6/2022	NUM
ap-7758	95	2	study	study	NOUN
ap-7758	95	3	of	of	ADP
ap-7758	95	4	surface	surface	NOUN
ap-7758	95	5	roughness	roughness	NOUN
ap-7758	95	6	with	with	ADP
ap-7758	95	7	mhd	mhd	NOUN
ap-7758	95	8	and	and	CCONJ
ap-7758	95	9	couple	couple	NOUN
ap-7758	95	10	stress	stress	NOUN
ap-7758	95	11	fluid	fluid	NOUN
ap-7758	95	12	.	.	PUNCT
ap-7758	95	13	.	.	PUNCT
ap-7758	95	14	.	.	PUNCT
ap-7758	96	1	in	in	ADP
ap-7758	96	2	porous	porous	ADJ
ap-7758	96	3	region	region	NOUN
ap-7758	96	4	,	,	PUNCT
ap-7758	96	5	fluid	fluid	ADJ
ap-7758	96	6	pressure	pressure	NOUN
ap-7758	96	7	satisfies	satisfy	VERB
ap-7758	96	8	the	the	DET
ap-7758	96	9	equation	equation	NOUN
ap-7758	96	10	1	1	NUM
ap-7758	96	11	r	r	NOUN
ap-7758	96	12	∂	∂	NOUN
ap-7758	96	13	∂r	∂r	NOUN
ap-7758	96	14	(	(	PUNCT
ap-7758	96	15	r	r	AUX
ap-7758	96	16	∂p∗	∂p∗	NOUN
ap-7758	97	1	∂r	∂r	PROPN
ap-7758	97	2	)	)	PUNCT
ap-7758	98	1	+	+	CCONJ
ap-7758	98	2	(	(	PUNCT
ap-7758	98	3	d	d	SYM
ap-7758	98	4	1	1	NUM
ap-7758	98	5	−	−	PROPN
ap-7758	98	6	φ	φ	PROPN
ap-7758	98	7	)	)	PUNCT
ap-7758	99	1	∂p∗	∂p∗	PROPN
ap-7758	99	2	∂z	∂z	X
ap-7758	100	1	=	=	SYM
ap-7758	100	2	0	0	PROPN
ap-7758	100	3	,	,	PUNCT
ap-7758	100	4	(	(	PUNCT
ap-7758	100	5	15	15	NUM
ap-7758	100	6	)	)	PUNCT
ap-7758	100	7	where	where	SCONJ
ap-7758	100	8	d	d	NOUN
ap-7758	100	9	=	=	SYM
ap-7758	100	10	(	(	PUNCT
ap-7758	100	11	1	1	NUM
ap-7758	100	12	−	−	PROPN
ap-7758	100	13	φ	φ	PROPN
ap-7758	100	14	+	+	CCONJ
ap-7758	101	1	km2	km2	PROPN
ap-7758	101	2	mh2	mh2	PROPN
ap-7758	101	3	0	0	NUM
ap-7758	101	4	)	)	PUNCT
ap-7758	101	5	.	.	PUNCT
ap-7758	102	1	let	let	VERB
ap-7758	102	2	us	we	PRON
ap-7758	102	3	integrate	integrate	VERB
ap-7758	102	4	the	the	DET
ap-7758	102	5	above	above	ADJ
ap-7758	102	6	equation	equation	NOUN
ap-7758	102	7	using	use	VERB
ap-7758	102	8	morgan	morgan	PROPN
ap-7758	102	9	-	-	PUNCT
ap-7758	102	10	cameron	cameron	PROPN
ap-7758	102	11	approximation	approximation	NOUN
ap-7758	102	12	[	[	X
ap-7758	102	13	27	27	NUM
ap-7758	102	14	]	]	PUNCT
ap-7758	102	15	that	that	PRON
ap-7758	102	16	is	be	AUX
ap-7758	102	17	∂p∗	∂p∗	PRON
ap-7758	103	1	∂r	∂r	ADJ
ap-7758	103	2	at	at	ADP
ap-7758	103	3	z	z	NOUN
ap-7758	103	4	=	=	PUNCT
ap-7758	104	1	−δ	−δ	ADJ
ap-7758	104	2	yields	yield	NOUN
ap-7758	104	3	,	,	PUNCT
ap-7758	104	4	(	(	PUNCT
ap-7758	104	5	∂p∗	∂p∗	PROPN
ap-7758	104	6	∂z	∂z	PROPN
ap-7758	104	7	)	)	PUNCT
ap-7758	104	8	z=0	z=0	PROPN
ap-7758	105	1	=	=	PUNCT
ap-7758	105	2	−	−	PROPN
ap-7758	105	3	(	(	PUNCT
ap-7758	105	4	1	1	NUM
ap-7758	105	5	−	−	PROPN
ap-7758	105	6	φ	φ	PROPN
ap-7758	105	7	d	d	PROPN
ap-7758	105	8	)	)	PUNCT
ap-7758	105	9	∫	∫	PROPN
ap-7758	105	10	0	0	NUM
ap-7758	105	11	−δ	−δ	ADJ
ap-7758	105	12	1	1	NUM
ap-7758	105	13	r	r	NOUN
ap-7758	105	14	∂	∂	NOUN
ap-7758	105	15	∂r	∂r	NOUN
ap-7758	105	16	(	(	PUNCT
ap-7758	105	17	r	r	NOUN
ap-7758	105	18	∂p∗	∂p∗	NOUN
ap-7758	105	19	∂r	∂r	NOUN
ap-7758	105	20	)	)	PUNCT
ap-7758	105	21	dz	dz	PROPN
ap-7758	105	22	.	.	PUNCT
ap-7758	106	1	since	since	SCONJ
ap-7758	106	2	porous	porous	ADJ
ap-7758	106	3	thickness	thickness	NOUN
ap-7758	106	4	layer	layer	NOUN
ap-7758	106	5	δ	δ	PROPN
ap-7758	106	6	is	be	AUX
ap-7758	106	7	exceedingly	exceedingly	ADV
ap-7758	106	8	small	small	ADJ
ap-7758	106	9	,	,	PUNCT
ap-7758	106	10	morgan	morgan	PROPN
ap-7758	106	11	-	-	PUNCT
ap-7758	106	12	cameron	cameron	PROPN
ap-7758	106	13	approximation	approximation	NOUN
ap-7758	106	14	[	[	X
ap-7758	106	15	27	27	NUM
ap-7758	106	16	]	]	PUNCT
ap-7758	106	17	is	be	AUX
ap-7758	106	18	considered	consider	VERB
ap-7758	106	19	and	and	CCONJ
ap-7758	106	20	equation	equation	NOUN
ap-7758	106	21	(	(	PUNCT
ap-7758	106	22	15	15	NUM
ap-7758	106	23	)	)	PUNCT
ap-7758	106	24	yields	yield	NOUN
ap-7758	106	25	(	(	PUNCT
ap-7758	106	26	∂p∗	∂p∗	PROPN
ap-7758	106	27	∂z	∂z	PROPN
ap-7758	106	28	)	)	PUNCT
ap-7758	106	29	z=0	z=0	PROPN
ap-7758	107	1	=	=	PUNCT
ap-7758	107	2	−δ	−δ	ADJ
ap-7758	107	3	(	(	PUNCT
ap-7758	107	4	1	1	NUM
ap-7758	107	5	−	−	PROPN
ap-7758	107	6	φ	φ	PROPN
ap-7758	107	7	d	d	NOUN
ap-7758	107	8	)	)	PUNCT
ap-7758	107	9	1	1	NUM
ap-7758	107	10	r	r	NOUN
ap-7758	107	11	∂	∂	NOUN
ap-7758	107	12	∂r	∂r	NOUN
ap-7758	107	13	(	(	PUNCT
ap-7758	107	14	r	r	NOUN
ap-7758	107	15	∂p	∂p	PROPN
ap-7758	107	16	∂r	∂r	PROPN
ap-7758	107	17	)	)	PUNCT
ap-7758	107	18	,	,	PUNCT
ap-7758	107	19	(	(	PUNCT
ap-7758	107	20	16	16	NUM
ap-7758	107	21	)	)	PUNCT
ap-7758	107	22	where	where	SCONJ
ap-7758	107	23	∂p∗	∂p∗	VERB
ap-7758	107	24	∂z	∂z	PROPN
ap-7758	108	1	=	=	PUNCT
ap-7758	108	2	0	0	PROPN
ap-7758	109	1	at	at	ADP
ap-7758	109	2	z	z	NOUN
ap-7758	109	3	=	=	PUNCT
ap-7758	109	4	−δ	−δ	ADJ
ap-7758	109	5	has	have	AUX
ap-7758	109	6	been	be	AUX
ap-7758	109	7	used	use	VERB
ap-7758	109	8	.	.	PUNCT
ap-7758	110	1	using	use	VERB
ap-7758	110	2	equation	equation	NOUN
ap-7758	110	3	(	(	PUNCT
ap-7758	110	4	16	16	NUM
ap-7758	110	5	)	)	PUNCT
ap-7758	110	6	in	in	ADP
ap-7758	110	7	(	(	PUNCT
ap-7758	110	8	14	14	NUM
ap-7758	110	9	)	)	PUNCT
ap-7758	110	10	the	the	DET
ap-7758	110	11	reynold	reynold	PROPN
ap-7758	110	12	’s	’s	PART
ap-7758	110	13	modified	modify	VERB
ap-7758	110	14	equation	equation	NOUN
ap-7758	110	15	results	result	NOUN
ap-7758	110	16	in	in	ADP
ap-7758	110	17	1	1	NUM
ap-7758	110	18	rµ	rµ	NOUN
ap-7758	110	19	∂	∂	NOUN
ap-7758	110	20	∂r	∂r	X
ap-7758	110	21	{	{	PUNCT
ap-7758	110	22	(	(	PUNCT
ap-7758	110	23	s(h	s(h	PROPN
ap-7758	110	24	,	,	PUNCT
ap-7758	110	25	l	l	NOUN
ap-7758	110	26	,	,	PUNCT
ap-7758	110	27	m	m	NOUN
ap-7758	110	28	)	)	PUNCT
ap-7758	111	1	+	+	CCONJ
ap-7758	112	1	δk	δk	PROPN
ap-7758	112	2	d	d	NOUN
ap-7758	112	3	)	)	PUNCT
ap-7758	113	1	r	r	NOUN
ap-7758	113	2	∂p	∂p	NOUN
ap-7758	113	3	∂r	∂r	INTJ
ap-7758	113	4	}	}	PUNCT
ap-7758	114	1	=	=	PUNCT
ap-7758	114	2	v.	v.	PROPN
ap-7758	114	3	(	(	PUNCT
ap-7758	114	4	17	17	NUM
ap-7758	114	5	)	)	PUNCT
ap-7758	114	6	according	accord	VERB
ap-7758	114	7	to	to	ADP
ap-7758	114	8	the	the	DET
ap-7758	114	9	stochastic	stochastic	ADJ
ap-7758	114	10	model	model	NOUN
ap-7758	114	11	of	of	ADP
ap-7758	114	12	christensen	christensen	PROPN
ap-7758	114	13	[	[	X
ap-7758	114	14	13	13	NUM
ap-7758	114	15	]	]	PUNCT
ap-7758	114	16	,	,	PUNCT
ap-7758	114	17	the	the	DET
ap-7758	114	18	film	film	NOUN
ap-7758	114	19	thickness	thickness	NOUN
ap-7758	114	20	h	h	NOUN
ap-7758	114	21	is	be	AUX
ap-7758	114	22	h	h	NOUN
ap-7758	114	23	=	=	PUNCT
ap-7758	114	24	h	h	PROPN
ap-7758	114	25	+	+	CCONJ
ap-7758	114	26	hs(r	hs(r	NUM
ap-7758	114	27	,	,	PUNCT
ap-7758	114	28	θ	θ	PROPN
ap-7758	114	29	,	,	PUNCT
ap-7758	114	30	ξ	ξ	NOUN
ap-7758	114	31	)	)	PUNCT
ap-7758	114	32	,	,	PUNCT
ap-7758	114	33	(	(	PUNCT
ap-7758	114	34	18	18	NUM
ap-7758	114	35	)	)	PUNCT
ap-7758	114	36	where	where	SCONJ
ap-7758	114	37	h	h	NOUN
ap-7758	114	38	is	be	AUX
ap-7758	114	39	the	the	DET
ap-7758	114	40	nominal	nominal	ADJ
ap-7758	114	41	thickness	thickness	NOUN
ap-7758	114	42	,	,	PUNCT
ap-7758	114	43	hs	hs	PROPN
ap-7758	114	44	is	be	AUX
ap-7758	114	45	the	the	DET
ap-7758	114	46	part	part	NOUN
ap-7758	114	47	owing	owe	VERB
ap-7758	114	48	to	to	ADP
ap-7758	114	49	surface	surface	NOUN
ap-7758	114	50	roughness	roughness	NOUN
ap-7758	114	51	as	as	SCONJ
ap-7758	114	52	measured	measure	VERB
ap-7758	114	53	from	from	ADP
ap-7758	114	54	nominal	nominal	ADJ
ap-7758	114	55	level	level	NOUN
ap-7758	114	56	and	and	CCONJ
ap-7758	114	57	ξ	ξ	PROPN
ap-7758	114	58	is	be	AUX
ap-7758	114	59	a	a	DET
ap-7758	114	60	stochastic	stochastic	ADJ
ap-7758	114	61	variable	variable	NOUN
ap-7758	114	62	which	which	PRON
ap-7758	114	63	describes	describe	VERB
ap-7758	114	64	roughness	roughness	NOUN
ap-7758	114	65	geometry	geometry	NOUN
ap-7758	114	66	.	.	PUNCT
ap-7758	115	1	2.1	2.1	NUM
ap-7758	115	2	.	.	PUNCT
ap-7758	116	1	stochastic	stochastic	ADJ
ap-7758	116	2	reynolds	reynold	NOUN
ap-7758	116	3	equation	equation	NOUN
ap-7758	116	4	let	let	VERB
ap-7758	116	5	us	we	PRON
ap-7758	116	6	take	take	VERB
ap-7758	116	7	the	the	DET
ap-7758	116	8	stochastic	stochastic	ADJ
ap-7758	116	9	mean	mean	NOUN
ap-7758	116	10	of	of	ADP
ap-7758	116	11	equation	equation	NOUN
ap-7758	116	12	(	(	PUNCT
ap-7758	116	13	17	17	NUM
ap-7758	116	14	)	)	PUNCT
ap-7758	116	15	with	with	ADP
ap-7758	116	16	respect	respect	NOUN
ap-7758	116	17	to	to	ADP
ap-7758	116	18	probability	probability	NOUN
ap-7758	116	19	density	density	NOUN
ap-7758	116	20	function	function	NOUN
ap-7758	116	21	g(hs	g(hs	NOUN
ap-7758	116	22	)	)	PUNCT
ap-7758	116	23	,	,	PUNCT
ap-7758	116	24	we	we	PRON
ap-7758	116	25	get	get	VERB
ap-7758	116	26	1	1	NUM
ap-7758	116	27	rµ	rµ	NOUN
ap-7758	116	28	∂	∂	NOUN
ap-7758	116	29	∂r	∂r	X
ap-7758	116	30	{	{	PUNCT
ap-7758	116	31	(	(	PUNCT
ap-7758	116	32	e	e	X
ap-7758	116	33	(	(	PUNCT
ap-7758	116	34	s(h	s(h	PROPN
ap-7758	116	35	,	,	PUNCT
ap-7758	116	36	l	l	NOUN
ap-7758	116	37	,	,	PUNCT
ap-7758	116	38	m	m	NOUN
ap-7758	116	39	)	)	PUNCT
ap-7758	117	1	+	+	CCONJ
ap-7758	117	2	δk	δk	PROPN
ap-7758	117	3	d	d	NOUN
ap-7758	117	4	)	)	PUNCT
ap-7758	117	5	)	)	PUNCT
ap-7758	117	6	r	r	NOUN
ap-7758	117	7	∂e(p	∂e(p	PROPN
ap-7758	117	8	)	)	PUNCT
ap-7758	117	9	∂r	∂r	NOUN
ap-7758	117	10	}	}	PUNCT
ap-7758	117	11	=	=	SYM
ap-7758	117	12	v	v	NOUN
ap-7758	117	13	,	,	PUNCT
ap-7758	117	14	(	(	PUNCT
ap-7758	117	15	19	19	NUM
ap-7758	117	16	)	)	PUNCT
ap-7758	117	17	where	where	SCONJ
ap-7758	117	18	e(•	e(•	PROPN
ap-7758	117	19	)	)	PUNCT
ap-7758	117	20	=	=	SYM
ap-7758	118	1	∫∞	∫∞	NOUN
ap-7758	118	2	−∞(•)g(hs)dhs	−∞(•)g(hs)dhs	PROPN
ap-7758	118	3	.	.	PUNCT
ap-7758	119	1	the	the	DET
ap-7758	119	2	roughness	roughness	NOUN
ap-7758	119	3	distribution	distribution	NOUN
ap-7758	119	4	function	function	NOUN
ap-7758	119	5	based	base	VERB
ap-7758	119	6	on	on	ADP
ap-7758	119	7	christensen	christensen	PROPN
ap-7758	119	8	’s	’s	PART
ap-7758	119	9	theory	theory	NOUN
ap-7758	119	10	is	be	AUX
ap-7758	119	11	in	in	ADP
ap-7758	119	12	form	form	NOUN
ap-7758	119	13	g(hs	g(hs	NOUN
ap-7758	119	14	)	)	PUNCT
ap-7758	119	15	=	=	PRON
ap-7758	119	16	{	{	PUNCT
ap-7758	119	17	35	35	NUM
ap-7758	119	18	32n7	32n7	NUM
ap-7758	119	19	(	(	PUNCT
ap-7758	119	20	n2	n2	ADJ
ap-7758	119	21	−	−	PROPN
ap-7758	119	22	h2	h2	PROPN
ap-7758	119	23	s)3	s)3	PROPN
ap-7758	119	24	,	,	PUNCT
ap-7758	120	1	−n	−n	ADV
ap-7758	120	2	<	<	X
ap-7758	120	3	hs	hs	X
ap-7758	120	4	<	<	X
ap-7758	120	5	n	n	PROPN
ap-7758	120	6	0	0	NUM
ap-7758	120	7	,	,	PUNCT
ap-7758	120	8	otherwise	otherwise	ADV
ap-7758	120	9	(	(	PUNCT
ap-7758	120	10	20	20	NUM
ap-7758	120	11	)	)	PUNCT
ap-7758	121	1	where	where	SCONJ
ap-7758	121	2	n	n	NOUN
ap-7758	121	3	=	=	SYM
ap-7758	121	4	3σ	3σ	NUM
ap-7758	121	5	and	and	CCONJ
ap-7758	121	6	σ	σ	PROPN
ap-7758	121	7	is	be	AUX
ap-7758	121	8	the	the	DET
ap-7758	121	9	standard	standard	ADJ
ap-7758	121	10	deviation	deviation	NOUN
ap-7758	121	11	.	.	PUNCT
ap-7758	122	1	generally	generally	ADV
ap-7758	122	2	,	,	PUNCT
ap-7758	122	3	there	there	PRON
ap-7758	122	4	are	be	VERB
ap-7758	122	5	two	two	NUM
ap-7758	122	6	kinds	kind	NOUN
ap-7758	122	7	of	of	ADP
ap-7758	122	8	roughness	roughness	NOUN
ap-7758	122	9	configuration	configuration	NOUN
ap-7758	122	10	,	,	PUNCT
ap-7758	122	11	namely	namely	ADV
ap-7758	122	12	:	:	PUNCT
ap-7758	122	13	•	•	NOUN
ap-7758	122	14	radial	radial	ADJ
ap-7758	122	15	roughness	roughness	NOUN
ap-7758	122	16	configuration	configuration	NOUN
ap-7758	122	17	:	:	PUNCT
ap-7758	122	18	it	it	PRON
ap-7758	122	19	is	be	AUX
ap-7758	122	20	one	one	NUM
ap-7758	122	21	-	-	PUNCT
ap-7758	122	22	dimensional	dimensional	ADJ
ap-7758	122	23	roughness	roughness	NOUN
ap-7758	122	24	in	in	ADP
ap-7758	122	25	the	the	DET
ap-7758	122	26	form	form	NOUN
ap-7758	122	27	of	of	ADP
ap-7758	122	28	long	long	ADJ
ap-7758	122	29	,	,	PUNCT
ap-7758	122	30	narrow	narrow	ADJ
ap-7758	122	31	ridges	ridge	NOUN
ap-7758	122	32	and	and	CCONJ
ap-7758	122	33	valleys	valley	NOUN
ap-7758	122	34	running	run	VERB
ap-7758	122	35	in	in	ADP
ap-7758	122	36	r	r	NOUN
ap-7758	122	37	-	-	PUNCT
ap-7758	122	38	direction	direction	NOUN
ap-7758	122	39	.	.	PUNCT
ap-7758	123	1	film	film	NOUN
ap-7758	123	2	thickness	thickness	NOUN
ap-7758	123	3	and	and	CCONJ
ap-7758	123	4	average	average	ADJ
ap-7758	123	5	modified	modify	VERB
ap-7758	123	6	reynold	reynold	NOUN
ap-7758	123	7	’s	’s	PART
ap-7758	123	8	equation	equation	NOUN
ap-7758	123	9	is	be	AUX
ap-7758	123	10	h	h	NOUN
ap-7758	123	11	=	=	NOUN
ap-7758	123	12	h	h	PROPN
ap-7758	124	1	+	+	CCONJ
ap-7758	124	2	hs(θ	hs(θ	NUM
ap-7758	124	3	,	,	PUNCT
ap-7758	124	4	ξ	ξ	X
ap-7758	124	5	)	)	PUNCT
ap-7758	124	6	,	,	PUNCT
ap-7758	124	7	(	(	PUNCT
ap-7758	124	8	21	21	NUM
ap-7758	124	9	)	)	SYM
ap-7758	124	10	1	1	NUM
ap-7758	124	11	rµ	rµ	NOUN
ap-7758	124	12	∂	∂	NOUN
ap-7758	124	13	∂r	∂r	PROPN
ap-7758	124	14	〈	〈	PROPN
ap-7758	124	15	[	[	PUNCT
ap-7758	124	16	es(h	es(h	PROPN
ap-7758	124	17	,	,	PUNCT
ap-7758	124	18	l	l	NOUN
ap-7758	124	19	,	,	PUNCT
ap-7758	124	20	m	m	NOUN
ap-7758	124	21	)	)	PUNCT
ap-7758	125	1	+	+	CCONJ
ap-7758	125	2	δk	δk	X
ap-7758	125	3	d	d	X
ap-7758	125	4	]	]	X
ap-7758	125	5	r	r	NOUN
ap-7758	125	6	∂e(p	∂e(p	PROPN
ap-7758	125	7	)	)	PUNCT
ap-7758	125	8	∂r	∂r	ADJ
ap-7758	125	9	〉	〉	NOUN
ap-7758	125	10	=	=	SYM
ap-7758	125	11	v	v	NOUN
ap-7758	125	12	,	,	PUNCT
ap-7758	125	13	(	(	PUNCT
ap-7758	125	14	22	22	NUM
ap-7758	125	15	)	)	PUNCT
ap-7758	125	16	where	where	SCONJ
ap-7758	125	17	e(s(h	e(s(h	PROPN
ap-7758	125	18	,	,	PUNCT
ap-7758	125	19	l	l	NOUN
ap-7758	125	20	,	,	PUNCT
ap-7758	125	21	m	m	NOUN
ap-7758	125	22	)	)	PUNCT
ap-7758	125	23	)	)	PUNCT
ap-7758	125	24	=	=	SYM
ap-7758	126	1	35	35	NUM
ap-7758	126	2	37n7	37n7	NUM
ap-7758	126	3	∫	∫	NOUN
ap-7758	126	4	n	n	CCONJ
ap-7758	126	5	−n	−n	ADV
ap-7758	126	6	s(h	s(h	PROPN
ap-7758	126	7	,	,	PUNCT
ap-7758	126	8	l	l	NOUN
ap-7758	126	9	,	,	PUNCT
ap-7758	126	10	m)(n2	m)(n2	PROPN
ap-7758	126	11	−	−	PROPN
ap-7758	126	12	h2	h2	PROPN
ap-7758	126	13	s)3dhs	s)3dhs	PROPN
ap-7758	126	14	.	.	PUNCT
ap-7758	127	1	•	•	NUM
ap-7758	127	2	azimuthal	azimuthal	NOUN
ap-7758	127	3	roughness	roughness	NOUN
ap-7758	127	4	configuration	configuration	NOUN
ap-7758	127	5	:	:	PUNCT
ap-7758	127	6	it	it	PRON
ap-7758	127	7	is	be	AUX
ap-7758	127	8	one	one	NUM
ap-7758	127	9	-	-	PUNCT
ap-7758	127	10	dimensional	dimensional	ADJ
ap-7758	127	11	roughness	roughness	NOUN
ap-7758	127	12	in	in	ADP
ap-7758	127	13	the	the	DET
ap-7758	127	14	form	form	NOUN
ap-7758	127	15	of	of	ADP
ap-7758	127	16	long	long	ADJ
ap-7758	127	17	,	,	PUNCT
ap-7758	127	18	narrow	narrow	ADJ
ap-7758	127	19	ridges	ridge	NOUN
ap-7758	127	20	and	and	CCONJ
ap-7758	127	21	valleys	valley	NOUN
ap-7758	127	22	running	run	VERB
ap-7758	127	23	in	in	ADP
ap-7758	127	24	θ	θ	NOUN
ap-7758	127	25	-	-	NOUN
ap-7758	127	26	direction	direction	NOUN
ap-7758	127	27	.	.	PUNCT
ap-7758	128	1	film	film	NOUN
ap-7758	128	2	thickness	thickness	NOUN
ap-7758	128	3	and	and	CCONJ
ap-7758	128	4	average	average	ADJ
ap-7758	128	5	modified	modify	VERB
ap-7758	128	6	reynold	reynold	NOUN
ap-7758	128	7	’s	’s	PART
ap-7758	128	8	equation	equation	NOUN
ap-7758	128	9	is	be	AUX
ap-7758	128	10	h	h	NOUN
ap-7758	128	11	=	=	PUNCT
ap-7758	128	12	h	h	PROPN
ap-7758	128	13	+	+	CCONJ
ap-7758	128	14	hs(r	hs(r	NUM
ap-7758	128	15	,	,	PUNCT
ap-7758	128	16	ξ	ξ	NOUN
ap-7758	128	17	)	)	PUNCT
ap-7758	128	18	,	,	PUNCT
ap-7758	128	19	(	(	PUNCT
ap-7758	128	20	23	23	NUM
ap-7758	128	21	)	)	SYM
ap-7758	128	22	1	1	NUM
ap-7758	128	23	rµ	rµ	NOUN
ap-7758	128	24	∂	∂	NOUN
ap-7758	128	25	∂r	∂r	PROPN
ap-7758	128	26	〈	〈	PROPN
ap-7758	128	27	(	(	PUNCT
ap-7758	128	28	[	[	NOUN
ap-7758	128	29	e1	e1	NOUN
ap-7758	128	30	/	/	SYM
ap-7758	128	31	s(h	s(h	PROPN
ap-7758	128	32	,	,	PUNCT
ap-7758	128	33	l	l	NOUN
ap-7758	128	34	,	,	PUNCT
ap-7758	128	35	m)]−1	m)]−1	PROPN
ap-7758	129	1	+	+	CCONJ
ap-7758	129	2	δk	δk	PROPN
ap-7758	129	3	d	d	NOUN
ap-7758	129	4	)	)	PUNCT
ap-7758	129	5	r	r	NOUN
ap-7758	129	6	∂e(p	∂e(p	NOUN
ap-7758	129	7	)	)	PUNCT
ap-7758	129	8	∂r	∂r	ADJ
ap-7758	129	9	〉	〉	NOUN
ap-7758	129	10	=	=	SYM
ap-7758	129	11	v	v	NOUN
ap-7758	129	12	,	,	PUNCT
ap-7758	129	13	(	(	PUNCT
ap-7758	129	14	24	24	NUM
ap-7758	129	15	)	)	PUNCT
ap-7758	129	16	where	where	SCONJ
ap-7758	129	17	e	e	X
ap-7758	129	18	(	(	PUNCT
ap-7758	129	19	1	1	NUM
ap-7758	129	20	s(h	s(h	PROPN
ap-7758	129	21	,	,	PUNCT
ap-7758	129	22	l	l	NOUN
ap-7758	129	23	,	,	PUNCT
ap-7758	129	24	m	m	NOUN
ap-7758	129	25	)	)	PUNCT
ap-7758	129	26	)	)	PUNCT
ap-7758	130	1	=	=	SYM
ap-7758	130	2	35	35	NUM
ap-7758	131	1	32n7	32n7	NUM
ap-7758	131	2	∫	∫	NOUN
ap-7758	131	3	n	n	CCONJ
ap-7758	132	1	−n	−n	ADV
ap-7758	132	2	(	(	PUNCT
ap-7758	132	3	n2	n2	ADJ
ap-7758	132	4	−	−	PROPN
ap-7758	132	5	h2	h2	NOUN
ap-7758	132	6	s)3	s)3	ADJ
ap-7758	132	7	s(h	s(h	PROPN
ap-7758	132	8	,	,	PUNCT
ap-7758	132	9	l	l	NOUN
ap-7758	132	10	,	,	PUNCT
ap-7758	132	11	m	m	NOUN
ap-7758	132	12	)	)	PUNCT
ap-7758	132	13	dhs	dhs	PROPN
ap-7758	132	14	.	.	PUNCT
ap-7758	133	1	577	577	NUM
ap-7758	133	2	salma	salma	PROPN
ap-7758	133	3	alla	alla	PUNCT
ap-7758	133	4	baksh	baksh	PROPN
ap-7758	133	5	,	,	PUNCT
ap-7758	133	6	hanumagowda	hanumagowda	PROPN
ap-7758	133	7	bannihalli	bannihalli	PROPN
ap-7758	133	8	naganagowda	naganagowda	PROPN
ap-7758	133	9	acta	acta	PROPN
ap-7758	133	10	polytechnica	polytechnica	PROPN
ap-7758	133	11	introducing	introduce	VERB
ap-7758	133	12	the	the	DET
ap-7758	133	13	following	follow	VERB
ap-7758	133	14	non	non	ADJ
ap-7758	133	15	-	-	ADJ
ap-7758	133	16	dimensional	dimensional	ADJ
ap-7758	133	17	quantities	quantity	NOUN
ap-7758	133	18	in	in	ADP
ap-7758	133	19	equation	equation	NOUN
ap-7758	133	20	(	(	PUNCT
ap-7758	133	21	19	19	NUM
ap-7758	133	22	)	)	PUNCT
ap-7758	133	23	,	,	PUNCT
ap-7758	133	24	r∗	r∗	PROPN
ap-7758	134	1	=	=	PUNCT
ap-7758	134	2	r	r	NOUN
ap-7758	134	3	a	a	PRON
ap-7758	134	4	,	,	PUNCT
ap-7758	134	5	h∗	h∗	PROPN
ap-7758	134	6	1	1	NUM
ap-7758	134	7	=	=	SYM
ap-7758	134	8	h1	h1	PROPN
ap-7758	134	9	h0	h0	PROPN
ap-7758	134	10	,	,	PUNCT
ap-7758	134	11	h∗	h∗	PROPN
ap-7758	134	12	=	=	PROPN
ap-7758	134	13	h	h	PROPN
ap-7758	134	14	h0	h0	NOUN
ap-7758	134	15	,	,	PUNCT
ap-7758	134	16	l∗	l∗	PROPN
ap-7758	134	17	=	=	SYM
ap-7758	134	18	2l	2l	PROPN
ap-7758	134	19	h0	h0	NOUN
ap-7758	134	20	,	,	PUNCT
ap-7758	135	1	p	p	X
ap-7758	135	2	=	=	NOUN
ap-7758	135	3	−	−	NOUN
ap-7758	135	4	h3	h3	NOUN
ap-7758	135	5	1p	1p	ADJ
ap-7758	135	6	µa2v	µa2v	NOUN
ap-7758	135	7	,	,	PUNCT
ap-7758	135	8	δ∗	δ∗	PROPN
ap-7758	135	9	=	=	SYM
ap-7758	135	10	δ	δ	PROPN
ap-7758	135	11	h0	h0	NOUN
ap-7758	135	12	,	,	PUNCT
ap-7758	135	13	ψ	ψ	X
ap-7758	135	14	=	=	X
ap-7758	135	15	kδ	kδ	NOUN
ap-7758	135	16	h3	h3	NOUN
ap-7758	135	17	0	0	NUM
ap-7758	135	18	,	,	PUNCT
ap-7758	135	19	d1	d1	PROPN
ap-7758	135	20	=	=	PUNCT
ap-7758	135	21	(	(	PUNCT
ap-7758	135	22	1	1	NUM
ap-7758	135	23	−	−	PROPN
ap-7758	135	24	φ	φ	PROPN
ap-7758	135	25	+	+	CCONJ
ap-7758	136	1	ψm2	ψm2	PROPN
ap-7758	136	2	mδ∗	mδ∗	NOUN
ap-7758	136	3	)	)	PUNCT
ap-7758	136	4	,	,	PUNCT
ap-7758	136	5	c	c	NOUN
ap-7758	136	6	=	=	SYM
ap-7758	136	7	n	n	PRON
ap-7758	136	8	h0	h0	NOUN
ap-7758	136	9	.	.	PUNCT
ap-7758	137	1	here	here	ADV
ap-7758	137	2	,	,	PUNCT
ap-7758	137	3	h0	h0	PROPN
ap-7758	137	4	is	be	AUX
ap-7758	137	5	the	the	DET
ap-7758	137	6	minimum	minimum	ADJ
ap-7758	137	7	film	film	NOUN
ap-7758	137	8	thickness	thickness	NOUN
ap-7758	137	9	.	.	PUNCT
ap-7758	138	1	the	the	DET
ap-7758	138	2	modified	modify	VERB
ap-7758	138	3	-	-	PUNCT
ap-7758	138	4	stochastic	stochastic	NOUN
ap-7758	138	5	reynold	reynold	NOUN
ap-7758	138	6	’s	’s	PART
ap-7758	138	7	equation	equation	NOUN
ap-7758	138	8	for	for	ADP
ap-7758	138	9	film	film	NOUN
ap-7758	138	10	pressure	pressure	NOUN
ap-7758	138	11	is	be	AUX
ap-7758	138	12	given	give	VERB
ap-7758	138	13	by	by	ADP
ap-7758	138	14	1	1	NUM
ap-7758	138	15	r∗	r∗	PROPN
ap-7758	138	16	∂	∂	NUM
ap-7758	138	17	∂r∗	∂r∗	NOUN
ap-7758	138	18	{	{	PUNCT
ap-7758	138	19	j(h	j(h	PROPN
ap-7758	138	20	,	,	PUNCT
ap-7758	138	21	l∗	l∗	PROPN
ap-7758	138	22	,	,	PUNCT
ap-7758	138	23	m	m	PROPN
ap-7758	138	24	,	,	PUNCT
ap-7758	138	25	ψ	ψ	X
ap-7758	138	26	,	,	PUNCT
ap-7758	138	27	c)r∗	c)r∗	NOUN
ap-7758	138	28	∂p	∂p	NOUN
ap-7758	138	29	∂r∗	∂r∗	NOUN
ap-7758	138	30	}	}	PUNCT
ap-7758	138	31	=	=	SYM
ap-7758	138	32	−1	−1	NOUN
ap-7758	138	33	,	,	PUNCT
ap-7758	138	34	(	(	PUNCT
ap-7758	138	35	25	25	NUM
ap-7758	138	36	)	)	PUNCT
ap-7758	138	37	where	where	SCONJ
ap-7758	138	38	j(h	j(h	PROPN
ap-7758	138	39	,	,	PUNCT
ap-7758	138	40	l∗	l∗	PROPN
ap-7758	138	41	,	,	PUNCT
ap-7758	138	42	m	m	PROPN
ap-7758	138	43	,	,	PUNCT
ap-7758	138	44	ψ	ψ	X
ap-7758	138	45	,	,	PUNCT
ap-7758	138	46	c	c	NOUN
ap-7758	138	47	)	)	PUNCT
ap-7758	138	48	=	=	NOUN
ap-7758	138	49	{	{	PUNCT
ap-7758	138	50	e	e	NOUN
ap-7758	138	51	⟨s(h∗	⟨s(h∗	PROPN
ap-7758	138	52	1	1	NUM
ap-7758	138	53	,	,	PUNCT
ap-7758	138	54	l∗	l∗	NOUN
ap-7758	138	55	,	,	PUNCT
ap-7758	138	56	m)⟩	m)⟩	PROPN
ap-7758	138	57	+	+	CCONJ
ap-7758	138	58	φ	φ	PROPN
ap-7758	138	59	d1	d1	PROPN
ap-7758	138	60	for	for	ADP
ap-7758	138	61	radial	radial	ADJ
ap-7758	138	62	roughness	roughness	NOUN
ap-7758	138	63	,	,	PUNCT
ap-7758	138	64	⟨e	⟨e	X
ap-7758	138	65	(	(	PUNCT
ap-7758	138	66	1	1	NUM
ap-7758	138	67	/	/	SYM
ap-7758	138	68	s(h∗	s(h∗	NOUN
ap-7758	138	69	1	1	NUM
ap-7758	138	70	,	,	PUNCT
ap-7758	138	71	l∗	l∗	PROPN
ap-7758	138	72	,	,	PUNCT
ap-7758	138	73	m))⟩−1	m))⟩−1	PROPN
ap-7758	138	74	+	+	CCONJ
ap-7758	138	75	φ	φ	PROPN
ap-7758	138	76	d1	d1	PROPN
ap-7758	138	77	for	for	ADP
ap-7758	138	78	azimuthal	azimuthal	ADJ
ap-7758	138	79	roughness	roughness	NOUN
ap-7758	138	80	.	.	PUNCT
ap-7758	139	1	the	the	DET
ap-7758	139	2	relevant	relevant	ADJ
ap-7758	139	3	boundary	boundary	ADJ
ap-7758	139	4	conditions	condition	NOUN
ap-7758	139	5	to	to	PART
ap-7758	139	6	present	present	VERB
ap-7758	139	7	the	the	DET
ap-7758	139	8	squeeze	squeeze	NOUN
ap-7758	139	9	problem	problem	NOUN
ap-7758	139	10	is	be	AUX
ap-7758	139	11	p	p	NOUN
ap-7758	139	12	=	=	NOUN
ap-7758	139	13	0	0	NUM
ap-7758	139	14	for	for	ADP
ap-7758	139	15	r∗	r∗	NOUN
ap-7758	139	16	=	=	PUNCT
ap-7758	139	17	α	α	NOUN
ap-7758	139	18	=	=	SYM
ap-7758	139	19	b	b	PROPN
ap-7758	139	20	/	/	SYM
ap-7758	139	21	a	a	PRON
ap-7758	139	22	,	,	PUNCT
ap-7758	139	23	(	(	PUNCT
ap-7758	139	24	26a	26a	NOUN
ap-7758	139	25	)	)	PUNCT
ap-7758	139	26	p	p	NOUN
ap-7758	139	27	=	=	NOUN
ap-7758	139	28	0	0	NUM
ap-7758	139	29	for	for	ADP
ap-7758	139	30	r∗	r∗	NOUN
ap-7758	139	31	=	=	SYM
ap-7758	139	32	1	1	X
ap-7758	139	33	.	.	PUNCT
ap-7758	139	34	(	(	PUNCT
ap-7758	139	35	26b	26b	NOUN
ap-7758	139	36	)	)	PUNCT
ap-7758	139	37	the	the	DET
ap-7758	139	38	non	non	ADJ
ap-7758	139	39	-	-	ADJ
ap-7758	139	40	dimensional	dimensional	ADJ
ap-7758	139	41	stochastic	stochastic	ADJ
ap-7758	139	42	reynold	reynold	ADJ
ap-7758	139	43	equation	equation	NOUN
ap-7758	139	44	(	(	PUNCT
ap-7758	139	45	25	25	NUM
ap-7758	139	46	)	)	PUNCT
ap-7758	139	47	is	be	AUX
ap-7758	139	48	integrated	integrate	VERB
ap-7758	139	49	using	use	VERB
ap-7758	139	50	the	the	DET
ap-7758	139	51	boundary	boundary	ADJ
ap-7758	139	52	conditions	condition	NOUN
ap-7758	139	53	(	(	PUNCT
ap-7758	139	54	26a	26a	NOUN
ap-7758	139	55	)	)	PUNCT
ap-7758	139	56	and	and	CCONJ
ap-7758	139	57	(	(	PUNCT
ap-7758	139	58	26b	26b	NOUN
ap-7758	139	59	)	)	PUNCT
ap-7758	139	60	,	,	PUNCT
ap-7758	139	61	which	which	PRON
ap-7758	139	62	results	result	VERB
ap-7758	139	63	in	in	ADP
ap-7758	139	64	the	the	DET
ap-7758	139	65	expression	expression	NOUN
ap-7758	139	66	for	for	ADP
ap-7758	139	67	non	non	ADJ
ap-7758	139	68	-	-	ADJ
ap-7758	139	69	dimensional	dimensional	ADJ
ap-7758	139	70	mhd	mhd	NOUN
ap-7758	139	71	mean	mean	NOUN
ap-7758	139	72	squeezing	squeeze	VERB
ap-7758	139	73	film	film	NOUN
ap-7758	139	74	pressure	pressure	NOUN
ap-7758	139	75	:	:	PUNCT
ap-7758	139	76	p	p	X
ap-7758	139	77	=	=	NOUN
ap-7758	139	78	f2(r∗)f1(1	f2(r∗)f1(1	X
ap-7758	139	79	)	)	PUNCT
ap-7758	140	1	−	−	NOUN
ap-7758	140	2	f1(r∗)f2(1	f1(r∗)f2(1	NOUN
ap-7758	140	3	)	)	PUNCT
ap-7758	140	4	2f2(1	2f2(1	NUM
ap-7758	140	5	)	)	PUNCT
ap-7758	140	6	,	,	PUNCT
ap-7758	140	7	(	(	PUNCT
ap-7758	140	8	27	27	NUM
ap-7758	140	9	)	)	PUNCT
ap-7758	140	10	where	where	SCONJ
ap-7758	140	11	f1(1	f1(1	ADJ
ap-7758	140	12	)	)	PUNCT
ap-7758	140	13	=	=	SYM
ap-7758	140	14	∫	∫	PROPN
ap-7758	140	15	1	1	NUM
ap-7758	140	16	r∗=α	r∗=α	ADP
ap-7758	140	17	r∗	r∗	PROPN
ap-7758	140	18	j(h	j(h	PROPN
ap-7758	140	19	,	,	PUNCT
ap-7758	140	20	l∗	l∗	PROPN
ap-7758	140	21	,	,	PUNCT
ap-7758	140	22	m	m	PROPN
ap-7758	140	23	,	,	PUNCT
ap-7758	140	24	ψ	ψ	NOUN
ap-7758	140	25	,	,	PUNCT
ap-7758	140	26	c)dr∗	c)dr∗	NOUN
ap-7758	140	27	,	,	PUNCT
ap-7758	140	28	f2(1	f2(1	NOUN
ap-7758	140	29	)	)	PUNCT
ap-7758	140	30	=	=	PUNCT
ap-7758	141	1	∫	∫	PROPN
ap-7758	141	2	1	1	NUM
ap-7758	142	1	r∗=α	r∗=α	ADP
ap-7758	142	2	1	1	NUM
ap-7758	142	3	r∗j(h	r∗j(h	PROPN
ap-7758	142	4	,	,	PUNCT
ap-7758	142	5	l∗	l∗	PROPN
ap-7758	142	6	,	,	PUNCT
ap-7758	142	7	m	m	PROPN
ap-7758	142	8	,	,	PUNCT
ap-7758	142	9	ψ	ψ	X
ap-7758	142	10	,	,	PUNCT
ap-7758	142	11	c)dr∗.	c)dr∗.	PROPN
ap-7758	142	12	the	the	DET
ap-7758	142	13	pressure	pressure	NOUN
ap-7758	142	14	field	field	NOUN
ap-7758	142	15	over	over	ADP
ap-7758	142	16	the	the	DET
ap-7758	142	17	plate	plate	NOUN
ap-7758	142	18	surface	surface	NOUN
ap-7758	142	19	is	be	AUX
ap-7758	142	20	integrated	integrate	VERB
ap-7758	142	21	to	to	PART
ap-7758	142	22	find	find	VERB
ap-7758	142	23	the	the	DET
ap-7758	142	24	load	load	NOUN
ap-7758	142	25	supporting	support	VERB
ap-7758	142	26	capacity	capacity	NOUN
ap-7758	142	27	and	and	CCONJ
ap-7758	142	28	is	be	AUX
ap-7758	142	29	w	w	NOUN
ap-7758	142	30	=	=	SYM
ap-7758	142	31	∫	∫	PROPN
ap-7758	142	32	a	a	DET
ap-7758	142	33	r	r	NOUN
ap-7758	142	34	=	=	SYM
ap-7758	142	35	b	b	PROPN
ap-7758	142	36	2πrp	2πrp	PROPN
ap-7758	142	37	dr	dr	PROPN
ap-7758	142	38	.	.	PROPN
ap-7758	143	1	(	(	PUNCT
ap-7758	143	2	28	28	NUM
ap-7758	143	3	)	)	PUNCT
ap-7758	143	4	the	the	DET
ap-7758	143	5	non	non	ADJ
ap-7758	143	6	-	-	ADJ
ap-7758	143	7	dimensional	dimensional	ADJ
ap-7758	143	8	mhd	mhd	NOUN
ap-7758	143	9	mean	mean	NOUN
ap-7758	143	10	load	load	NOUN
ap-7758	143	11	-	-	PUNCT
ap-7758	143	12	supporting	support	VERB
ap-7758	143	13	capacity	capacity	NOUN
ap-7758	143	14	w	w	NOUN
ap-7758	143	15	is	be	AUX
ap-7758	143	16	w	w	NOUN
ap-7758	143	17	=	=	PUNCT
ap-7758	143	18	e(w	e(w	ADJ
ap-7758	143	19	)	)	PUNCT
ap-7758	143	20	h3	h3	VERB
ap-7758	143	21	1	1	NUM
ap-7758	143	22	2πµa4(−dh1	2πµa4(−dh1	NUM
ap-7758	143	23	/	/	SYM
ap-7758	143	24	dt	dt	NOUN
ap-7758	143	25	)	)	PUNCT
ap-7758	144	1	=	=	SYM
ap-7758	144	2	−1	−1	NOUN
ap-7758	144	3	2	2	NUM
ap-7758	144	4	∫	∫	NOUN
ap-7758	144	5	1	1	NUM
ap-7758	144	6	r∗=α	r∗=α	ADP
ap-7758	144	7	f1(r∗)r∗dr∗	f1(r∗)r∗dr∗	PROPN
ap-7758	144	8	+	+	CCONJ
ap-7758	144	9	1	1	NUM
ap-7758	144	10	2	2	NUM
ap-7758	144	11	f1(1	f1(1	ADJ
ap-7758	144	12	)	)	PUNCT
ap-7758	144	13	f2(1	f2(1	NOUN
ap-7758	144	14	)	)	PUNCT
ap-7758	144	15	∫	∫	PROPN
ap-7758	144	16	1	1	NUM
ap-7758	144	17	r∗	r∗	PROPN
ap-7758	144	18	f2(r∗)r∗dr∗.	f2(r∗)r∗dr∗.	PROPN
ap-7758	144	19	(	(	PUNCT
ap-7758	144	20	29	29	NUM
ap-7758	144	21	)	)	PUNCT
ap-7758	144	22	the	the	DET
ap-7758	144	23	non	non	ADJ
ap-7758	144	24	-	-	ADJ
ap-7758	144	25	dimensional	dimensional	ADJ
ap-7758	144	26	squeeze	squeeze	NOUN
ap-7758	144	27	film	film	NOUN
ap-7758	144	28	time	time	NOUN
ap-7758	144	29	for	for	ADP
ap-7758	144	30	film	film	NOUN
ap-7758	144	31	thickness	thickness	NOUN
ap-7758	144	32	is	be	AUX
ap-7758	144	33	t	t	NOUN
ap-7758	144	34	=	=	PUNCT
ap-7758	144	35	e(w	e(w	PROPN
ap-7758	144	36	)	)	PUNCT
ap-7758	144	37	h2	h2	NOUN
ap-7758	144	38	1	1	NUM
ap-7758	144	39	πµa4	πµa4	PROPN
ap-7758	144	40	t	t	PROPN
ap-7758	144	41	=	=	SYM
ap-7758	144	42	∫	∫	PROPN
ap-7758	144	43	1	1	NUM
ap-7758	144	44	h∗	h∗	PROPN
ap-7758	144	45	1	1	NUM
ap-7758	144	46	(	(	PUNCT
ap-7758	144	47	2f2(1	2f2(1	NUM
ap-7758	144	48	)	)	PUNCT
ap-7758	144	49	f2(1	f2(1	NOUN
ap-7758	144	50	)	)	PUNCT
ap-7758	144	51	∫	∫	PROPN
ap-7758	145	1	1	1	NUM
ap-7758	146	1	r∗=α	r∗=α	ADP
ap-7758	146	2	f1(r∗)r∗dr∗	f1(r∗)r∗dr∗	PROPN
ap-7758	146	3	−	−	PROPN
ap-7758	146	4	f1(1	f1(1	PROPN
ap-7758	146	5	)	)	PUNCT
ap-7758	146	6	∫	∫	NOUN
ap-7758	146	7	1	1	NUM
ap-7758	146	8	r∗=α	r∗=α	ADP
ap-7758	146	9	f2(r∗)r∗dr∗	f2(r∗)r∗dr∗	PROPN
ap-7758	146	10	)	)	PUNCT
ap-7758	146	11	dh∗	dh∗	NOUN
ap-7758	146	12	1	1	NUM
ap-7758	146	13	.	.	PUNCT
ap-7758	146	14	(	(	PUNCT
ap-7758	146	15	30	30	NUM
ap-7758	146	16	)	)	PUNCT
ap-7758	146	17	3	3	NUM
ap-7758	146	18	.	.	X
ap-7758	146	19	result	result	NOUN
ap-7758	146	20	and	and	CCONJ
ap-7758	146	21	discussions	discussion	NOUN
ap-7758	146	22	in	in	ADP
ap-7758	146	23	the	the	DET
ap-7758	146	24	present	present	ADJ
ap-7758	146	25	article	article	NOUN
ap-7758	146	26	,	,	PUNCT
ap-7758	146	27	the	the	DET
ap-7758	146	28	impact	impact	NOUN
ap-7758	146	29	of	of	ADP
ap-7758	146	30	roughness	roughness	NOUN
ap-7758	146	31	,	,	PUNCT
ap-7758	146	32	mhd	mhd	NOUN
ap-7758	146	33	,	,	PUNCT
ap-7758	146	34	and	and	CCONJ
ap-7758	146	35	couple	couple	NOUN
ap-7758	146	36	stress	stress	NOUN
ap-7758	146	37	fluid	fluid	NOUN
ap-7758	146	38	is	be	AUX
ap-7758	146	39	investigated	investigate	VERB
ap-7758	146	40	.	.	PUNCT
ap-7758	147	1	the	the	DET
ap-7758	147	2	mhd	mhd	NOUN
ap-7758	147	3	-	-	PUNCT
ap-7758	147	4	stochastic	stochastic	NOUN
ap-7758	147	5	reynolds	reynold	NOUN
ap-7758	147	6	-	-	PUNCT
ap-7758	147	7	type	type	NOUN
ap-7758	147	8	equation	equation	NOUN
ap-7758	147	9	is	be	AUX
ap-7758	147	10	derived	derive	VERB
ap-7758	147	11	using	use	VERB
ap-7758	147	12	christensen	christensen	PROPN
ap-7758	147	13	’s	’s	PART
ap-7758	147	14	stochastic	stochastic	ADJ
ap-7758	147	15	model	model	NOUN
ap-7758	147	16	and	and	CCONJ
ap-7758	147	17	applied	apply	VERB
ap-7758	147	18	to	to	PART
ap-7758	147	19	predict	predict	VERB
ap-7758	147	20	the	the	DET
ap-7758	147	21	squeeze	squeeze	NOUN
ap-7758	147	22	film	film	NOUN
ap-7758	147	23	characteristics	characteristic	NOUN
ap-7758	147	24	of	of	ADP
ap-7758	147	25	porous	porous	ADJ
ap-7758	147	26	curved	curved	ADJ
ap-7758	147	27	annular	annular	ADJ
ap-7758	147	28	plates	plate	NOUN
ap-7758	147	29	.	.	PUNCT
ap-7758	148	1	the	the	DET
ap-7758	148	2	results	result	NOUN
ap-7758	148	3	are	be	AUX
ap-7758	148	4	discussed	discuss	VERB
ap-7758	148	5	for	for	ADP
ap-7758	148	6	various	various	ADJ
ap-7758	148	7	values	value	NOUN
ap-7758	148	8	of	of	ADP
ap-7758	148	9	non	non	ADJ
ap-7758	148	10	-	-	ADJ
ap-7758	148	11	dimensional	dimensional	ADJ
ap-7758	148	12	quantities	quantity	NOUN
ap-7758	148	13	,	,	PUNCT
ap-7758	148	14	such	such	ADJ
ap-7758	148	15	as	as	ADP
ap-7758	148	16	hartmann	hartmann	PROPN
ap-7758	148	17	number	number	NOUN
ap-7758	148	18	m	m	PROPN
ap-7758	148	19	,	,	PUNCT
ap-7758	148	20	couple	couple	NOUN
ap-7758	148	21	stress	stress	NOUN
ap-7758	148	22	parameter	parameter	PROPN
ap-7758	148	23	l∗	l∗	PROPN
ap-7758	148	24	,	,	PUNCT
ap-7758	148	25	roughness	roughness	NOUN
ap-7758	148	26	parameter	parameter	NOUN
ap-7758	148	27	c	c	NOUN
ap-7758	148	28	,	,	PUNCT
ap-7758	148	29	permeability	permeability	NOUN
ap-7758	148	30	parameter	parameter	NOUN
ap-7758	148	31	ψ	ψ	NOUN
ap-7758	148	32	,	,	PUNCT
ap-7758	148	33	curvature	curvature	NOUN
ap-7758	148	34	parameter	parameter	NOUN
ap-7758	148	35	β	β	NOUN
ap-7758	148	36	,	,	PUNCT
ap-7758	148	37	and	and	CCONJ
ap-7758	148	38	radius	radius	NOUN
ap-7758	148	39	ratio	ratio	NOUN
ap-7758	148	40	α	α	NOUN
ap-7758	148	41	.	.	PUNCT
ap-7758	149	1	to	to	PART
ap-7758	149	2	discuss	discuss	VERB
ap-7758	149	3	the	the	DET
ap-7758	149	4	squeeze	squeeze	NOUN
ap-7758	149	5	film	film	NOUN
ap-7758	149	6	characteristics	characteristic	NOUN
ap-7758	149	7	,	,	PUNCT
ap-7758	149	8	the	the	DET
ap-7758	149	9	following	follow	VERB
ap-7758	149	10	parameters	parameter	NOUN
ap-7758	149	11	range	range	VERB
ap-7758	149	12	is	be	AUX
ap-7758	149	13	considered	consider	VERB
ap-7758	149	14	:	:	PUNCT
ap-7758	149	15	m	m	VERB
ap-7758	149	16	=	=	SYM
ap-7758	149	17	0	0	NUM
ap-7758	149	18	,	,	PUNCT
ap-7758	149	19	2	2	NUM
ap-7758	149	20	,	,	PUNCT
ap-7758	149	21	4	4	NUM
ap-7758	149	22	;	;	PUNCT
ap-7758	149	23	l∗	l∗	PROPN
ap-7758	149	24	=	=	PUNCT
ap-7758	149	25	0.0	0.0	NUM
ap-7758	149	26	,	,	PUNCT
ap-7758	149	27	0.2	0.2	NUM
ap-7758	149	28	,	,	PUNCT
ap-7758	149	29	0.4	0.4	NUM
ap-7758	149	30	;	;	PUNCT
ap-7758	149	31	c	c	NOUN
ap-7758	149	32	=	=	SYM
ap-7758	149	33	0.0	0.0	NUM
ap-7758	149	34	,	,	PUNCT
ap-7758	149	35	0.2	0.2	NUM
ap-7758	149	36	,	,	PUNCT
ap-7758	149	37	0.4	0.4	NUM
ap-7758	149	38	;	;	PUNCT
ap-7758	149	39	β	β	X
ap-7758	149	40	=	=	SYM
ap-7758	149	41	−0.5	−0.5	PROPN
ap-7758	149	42	,	,	PUNCT
ap-7758	149	43	0	0	NUM
ap-7758	149	44	,	,	PUNCT
ap-7758	149	45	0.5	0.5	NUM
ap-7758	149	46	;	;	PUNCT
ap-7758	149	47	ψ	ψ	X
ap-7758	149	48	=	=	SYM
ap-7758	149	49	0	0	NUM
ap-7758	149	50	,	,	PUNCT
ap-7758	149	51	0.001	0.001	NUM
ap-7758	149	52	,	,	PUNCT
ap-7758	149	53	0.1	0.1	NUM
ap-7758	149	54	;	;	PUNCT
ap-7758	149	55	α	α	NOUN
ap-7758	149	56	=	=	NOUN
ap-7758	149	57	0.2	0.2	NUM
ap-7758	149	58	,	,	PUNCT
ap-7758	149	59	0.4	0.4	NUM
ap-7758	149	60	,	,	PUNCT
ap-7758	149	61	0.6	0.6	NUM
ap-7758	149	62	and	and	CCONJ
ap-7758	149	63	m	m	VERB
ap-7758	149	64	=	=	ADJ
ap-7758	149	65	0.6	0.6	NUM
ap-7758	149	66	;	;	PUNCT
ap-7758	149	67	δ∗	δ∗	X
ap-7758	149	68	=	=	NOUN
ap-7758	149	69	0.01	0.01	NUM
ap-7758	149	70	;	;	PUNCT
ap-7758	149	71	φ	φ	PROPN
ap-7758	149	72	=	=	SYM
ap-7758	149	73	0.2	0.2	NUM
ap-7758	149	74	are	be	AUX
ap-7758	149	75	fixed	fix	VERB
ap-7758	149	76	.	.	PUNCT
ap-7758	150	1	limiting	limit	VERB
ap-7758	150	2	cases	case	NOUN
ap-7758	150	3	:	:	PUNCT
ap-7758	150	4	(	(	PUNCT
ap-7758	150	5	i	i	NOUN
ap-7758	150	6	)	)	PUNCT
ap-7758	150	7	as	as	ADP
ap-7758	150	8	c	c	PROPN
ap-7758	150	9	→	→	SYM
ap-7758	150	10	0	0	NUM
ap-7758	150	11	,	,	PUNCT
ap-7758	150	12	corresponds	correspond	VERB
ap-7758	150	13	to	to	ADP
ap-7758	150	14	the	the	DET
ap-7758	150	15	smooth	smooth	ADJ
ap-7758	150	16	case	case	NOUN
ap-7758	150	17	discussed	discuss	VERB
ap-7758	150	18	by	by	ADP
ap-7758	150	19	hanumagowda	hanumagowda	PROPN
ap-7758	150	20	et	et	PROPN
ap-7758	150	21	al	al	PROPN
ap-7758	150	22	.	.	PUNCT
ap-7758	151	1	[	[	X
ap-7758	151	2	28	28	NUM
ap-7758	151	3	]	]	PUNCT
ap-7758	151	4	,	,	PUNCT
ap-7758	151	5	(	(	PUNCT
ap-7758	151	6	ii	ii	NOUN
ap-7758	151	7	)	)	PUNCT
ap-7758	151	8	as	as	ADP
ap-7758	151	9	c	c	PROPN
ap-7758	151	10	→	→	SYM
ap-7758	151	11	0	0	NUM
ap-7758	151	12	,	,	PUNCT
ap-7758	151	13	m	m	VERB
ap-7758	151	14	→	→	SYM
ap-7758	151	15	0	0	NUM
ap-7758	151	16	,	,	PUNCT
ap-7758	151	17	corresponds	correspond	VERB
ap-7758	151	18	to	to	ADP
ap-7758	151	19	the	the	DET
ap-7758	151	20	non	non	ADJ
ap-7758	151	21	-	-	ADJ
ap-7758	151	22	magnetic	magnetic	ADJ
ap-7758	151	23	case	case	NOUN
ap-7758	151	24	discussed	discuss	VERB
ap-7758	151	25	by	by	ADP
ap-7758	151	26	gupta	gupta	PROPN
ap-7758	151	27	et	et	PROPN
ap-7758	151	28	al	al	PROPN
ap-7758	151	29	.	.	PUNCT
ap-7758	152	1	[	[	X
ap-7758	152	2	29	29	NUM
ap-7758	152	3	]	]	NUM
ap-7758	152	4	,	,	PUNCT
ap-7758	152	5	(	(	PUNCT
ap-7758	152	6	iii	iii	NOUN
ap-7758	152	7	)	)	PUNCT
ap-7758	152	8	as	as	ADP
ap-7758	152	9	c	c	PROPN
ap-7758	152	10	→	→	SYM
ap-7758	152	11	0	0	NUM
ap-7758	152	12	,	,	PUNCT
ap-7758	152	13	m	m	VERB
ap-7758	152	14	→	→	SYM
ap-7758	152	15	0	0	NUM
ap-7758	152	16	,	,	PUNCT
ap-7758	152	17	l∗	l∗	PROPN
ap-7758	152	18	→	→	SYM
ap-7758	152	19	0	0	NUM
ap-7758	152	20	,	,	PUNCT
ap-7758	152	21	corresponds	correspond	VERB
ap-7758	152	22	to	to	ADP
ap-7758	152	23	the	the	DET
ap-7758	152	24	newtonian	newtonian	ADJ
ap-7758	152	25	case	case	NOUN
ap-7758	152	26	studied	study	VERB
ap-7758	152	27	by	by	ADP
ap-7758	152	28	jaw	jaw	PROPN
ap-7758	152	29	et	et	PROPN
ap-7758	152	30	al	al	PROPN
ap-7758	152	31	.	.	PUNCT
ap-7758	153	1	[	[	X
ap-7758	153	2	25	25	NUM
ap-7758	153	3	]	]	PUNCT
ap-7758	153	4	,	,	PUNCT
ap-7758	153	5	(	(	PUNCT
ap-7758	153	6	iv	iv	X
ap-7758	153	7	)	)	PUNCT
ap-7758	153	8	as	as	ADP
ap-7758	153	9	ψ	ψ	X
ap-7758	153	10	→	→	SYM
ap-7758	153	11	0	0	NUM
ap-7758	153	12	,	,	PUNCT
ap-7758	153	13	corresponds	correspond	VERB
ap-7758	153	14	to	to	ADP
ap-7758	153	15	the	the	DET
ap-7758	153	16	non	non	ADJ
ap-7758	153	17	-	-	ADJ
ap-7758	153	18	porous	porous	ADJ
ap-7758	153	19	case	case	NOUN
ap-7758	153	20	discussed	discuss	VERB
ap-7758	153	21	by	by	ADP
ap-7758	153	22	hanumagowda	hanumagowda	PROPN
ap-7758	153	23	et	et	PROPN
ap-7758	153	24	al	al	PROPN
ap-7758	153	25	.	.	PUNCT
ap-7758	154	1	[	[	X
ap-7758	154	2	28	28	NUM
ap-7758	154	3	]	]	PUNCT
ap-7758	154	4	,	,	PUNCT
ap-7758	154	5	(	(	PUNCT
ap-7758	154	6	v	v	NOUN
ap-7758	154	7	)	)	PUNCT
ap-7758	154	8	as	as	ADP
ap-7758	154	9	β	β	PROPN
ap-7758	154	10	=	=	SYM
ap-7758	154	11	0	0	NUM
ap-7758	154	12	,	,	PUNCT
ap-7758	154	13	corresponds	correspond	VERB
ap-7758	154	14	to	to	ADP
ap-7758	154	15	the	the	DET
ap-7758	154	16	annular	annular	ADJ
ap-7758	154	17	plates	plate	NOUN
ap-7758	154	18	discussed	discuss	VERB
ap-7758	154	19	by	by	ADP
ap-7758	154	20	syeda	syeda	PROPN
ap-7758	154	21	et	et	PROPN
ap-7758	154	22	al	al	PROPN
ap-7758	154	23	.	.	PUNCT
ap-7758	155	1	[	[	X
ap-7758	155	2	30	30	NUM
ap-7758	155	3	]	]	PUNCT
ap-7758	155	4	.	.	PUNCT
ap-7758	156	1	578	578	NUM
ap-7758	156	2	vol	vol	NOUN
ap-7758	156	3	.	.	PUNCT
ap-7758	157	1	62	62	NUM
ap-7758	157	2	no	no	INTJ
ap-7758	157	3	.	.	PUNCT
ap-7758	158	1	6/2022	6/2022	NUM
ap-7758	158	2	study	study	NOUN
ap-7758	158	3	of	of	ADP
ap-7758	158	4	surface	surface	NOUN
ap-7758	158	5	roughness	roughness	NOUN
ap-7758	158	6	with	with	ADP
ap-7758	158	7	mhd	mhd	NOUN
ap-7758	158	8	and	and	CCONJ
ap-7758	158	9	couple	couple	NOUN
ap-7758	158	10	stress	stress	NOUN
ap-7758	158	11	fluid	fluid	NOUN
ap-7758	158	12	.	.	PUNCT
ap-7758	158	13	.	.	PUNCT
ap-7758	158	14	.	.	PUNCT
ap-7758	159	1	3.1	3.1	NUM
ap-7758	159	2	.	.	PUNCT
ap-7758	160	1	mean	mean	ADJ
ap-7758	160	2	film	film	NOUN
ap-7758	160	3	pressure	pressure	NOUN
ap-7758	160	4	figure	figure	NOUN
ap-7758	160	5	2	2	NUM
ap-7758	160	6	presents	present	VERB
ap-7758	160	7	the	the	DET
ap-7758	160	8	profile	profile	NOUN
ap-7758	160	9	of	of	ADP
ap-7758	160	10	mean	mean	ADJ
ap-7758	160	11	pressure	pressure	NOUN
ap-7758	160	12	p	p	NOUN
ap-7758	160	13	along	along	ADP
ap-7758	160	14	dimensionless	dimensionless	NOUN
ap-7758	160	15	co	co	ADJ
ap-7758	160	16	-	-	ADJ
ap-7758	160	17	ordinate	ordinate	ADJ
ap-7758	160	18	axial	axial	ADJ
ap-7758	160	19	r∗	r∗	NOUN
ap-7758	160	20	as	as	ADP
ap-7758	160	21	a	a	DET
ap-7758	160	22	function	function	NOUN
ap-7758	160	23	of	of	ADP
ap-7758	160	24	c	c	PROPN
ap-7758	160	25	for	for	ADP
ap-7758	160	26	both	both	DET
ap-7758	160	27	roughness	roughness	NOUN
ap-7758	160	28	configurations	configuration	NOUN
ap-7758	160	29	and	and	CCONJ
ap-7758	160	30	clearly	clearly	ADV
ap-7758	160	31	shows	show	VERB
ap-7758	160	32	that	that	SCONJ
ap-7758	160	33	for	for	ADP
ap-7758	160	34	larger	large	ADJ
ap-7758	160	35	c	c	NOUN
ap-7758	160	36	values	value	NOUN
ap-7758	160	37	,	,	PUNCT
ap-7758	160	38	the	the	DET
ap-7758	160	39	mean	mean	ADJ
ap-7758	160	40	pressure	pressure	NOUN
ap-7758	160	41	inclines	incline	VERB
ap-7758	160	42	(	(	PUNCT
ap-7758	160	43	declines	decline	NOUN
ap-7758	160	44	)	)	PUNCT
ap-7758	160	45	for	for	ADP
ap-7758	160	46	azimuthal	azimuthal	NOUN
ap-7758	160	47	(	(	PUNCT
ap-7758	160	48	radial	radial	ADJ
ap-7758	160	49	)	)	PUNCT
ap-7758	160	50	roughness	roughness	NOUN
ap-7758	160	51	structures	structure	NOUN
ap-7758	160	52	,	,	PUNCT
ap-7758	160	53	and	and	CCONJ
ap-7758	160	54	also	also	ADV
ap-7758	160	55	,	,	PUNCT
ap-7758	160	56	when	when	SCONJ
ap-7758	160	57	c	c	NOUN
ap-7758	160	58	→	→	SYM
ap-7758	160	59	0	0	NUM
ap-7758	160	60	,	,	PUNCT
ap-7758	160	61	it	it	PRON
ap-7758	160	62	reduces	reduce	VERB
ap-7758	160	63	to	to	PART
ap-7758	160	64	smooth	smooth	ADJ
ap-7758	160	65	case	case	NOUN
ap-7758	160	66	.	.	PUNCT
ap-7758	161	1	in	in	ADP
ap-7758	161	2	figure	figure	NOUN
ap-7758	161	3	3	3	NUM
ap-7758	161	4	,	,	PUNCT
ap-7758	161	5	a	a	DET
ap-7758	161	6	graph	graph	NOUN
ap-7758	161	7	of	of	ADP
ap-7758	161	8	p	p	NOUN
ap-7758	161	9	against	against	ADP
ap-7758	161	10	r∗	r∗	PROPN
ap-7758	161	11	as	as	ADP
ap-7758	161	12	a	a	DET
ap-7758	161	13	function	function	NOUN
ap-7758	161	14	of	of	ADP
ap-7758	161	15	ψ	ψ	NOUN
ap-7758	161	16	is	be	AUX
ap-7758	161	17	presented	present	VERB
ap-7758	161	18	and	and	CCONJ
ap-7758	161	19	can	can	AUX
ap-7758	161	20	clearly	clearly	ADV
ap-7758	161	21	be	be	AUX
ap-7758	161	22	seen	see	VERB
ap-7758	161	23	that	that	SCONJ
ap-7758	161	24	for	for	ADP
ap-7758	161	25	increasing	increase	VERB
ap-7758	161	26	ψ	ψ	ADP
ap-7758	161	27	values	value	NOUN
ap-7758	161	28	,	,	PUNCT
ap-7758	161	29	the	the	DET
ap-7758	161	30	mean	mean	ADJ
ap-7758	161	31	pressure	pressure	NOUN
ap-7758	161	32	decreases	decrease	VERB
ap-7758	161	33	for	for	ADP
ap-7758	161	34	azimuthal	azimuthal	ADJ
ap-7758	161	35	roughness	roughness	NOUN
ap-7758	161	36	rather	rather	ADV
ap-7758	161	37	than	than	ADP
ap-7758	161	38	radial	radial	ADJ
ap-7758	161	39	roughness	roughness	NOUN
ap-7758	161	40	structure	structure	NOUN
ap-7758	161	41	.	.	PUNCT
ap-7758	162	1	figure	figure	NOUN
ap-7758	162	2	4	4	NUM
ap-7758	162	3	shows	show	VERB
ap-7758	162	4	the	the	DET
ap-7758	162	5	distinctive	distinctive	ADJ
ap-7758	162	6	values	value	NOUN
ap-7758	162	7	of	of	ADP
ap-7758	162	8	hartmann	hartmann	PROPN
ap-7758	162	9	number	number	NOUN
ap-7758	162	10	,	,	PUNCT
ap-7758	162	11	the	the	DET
ap-7758	162	12	graph	graph	NOUN
ap-7758	162	13	p	p	NOUN
ap-7758	162	14	against	against	ADP
ap-7758	162	15	r∗	r∗	PROPN
ap-7758	162	16	is	be	AUX
ap-7758	162	17	presented	present	VERB
ap-7758	162	18	and	and	CCONJ
ap-7758	162	19	shows	show	VERB
ap-7758	162	20	that	that	SCONJ
ap-7758	162	21	for	for	ADP
ap-7758	162	22	increasing	increase	VERB
ap-7758	162	23	m	m	NOUN
ap-7758	162	24	values	value	NOUN
ap-7758	162	25	,	,	PUNCT
ap-7758	162	26	the	the	DET
ap-7758	162	27	pressure	pressure	NOUN
ap-7758	162	28	increases	increase	VERB
ap-7758	162	29	.	.	PUNCT
ap-7758	163	1	the	the	DET
ap-7758	163	2	profile	profile	NOUN
ap-7758	163	3	of	of	ADP
ap-7758	163	4	p	p	NOUN
ap-7758	163	5	against	against	ADP
ap-7758	163	6	r∗	r∗	NOUN
ap-7758	163	7	for	for	ADP
ap-7758	163	8	various	various	ADJ
ap-7758	163	9	l∗	l∗	NOUN
ap-7758	163	10	values	value	NOUN
ap-7758	163	11	is	be	AUX
ap-7758	163	12	described	describe	VERB
ap-7758	163	13	in	in	ADP
ap-7758	163	14	figure	figure	NOUN
ap-7758	163	15	5	5	NUM
ap-7758	163	16	and	and	CCONJ
ap-7758	163	17	it	it	PRON
ap-7758	163	18	can	can	AUX
ap-7758	163	19	be	be	AUX
ap-7758	163	20	seen	see	VERB
ap-7758	163	21	that	that	SCONJ
ap-7758	163	22	the	the	DET
ap-7758	163	23	impact	impact	NOUN
ap-7758	163	24	of	of	ADP
ap-7758	163	25	l∗	l∗	PROPN
ap-7758	163	26	is	be	AUX
ap-7758	163	27	to	to	PART
ap-7758	163	28	enhance	enhance	VERB
ap-7758	163	29	p	p	NOUN
ap-7758	163	30	.	.	PUNCT
ap-7758	164	1	figure	figure	NOUN
ap-7758	164	2	6	6	NUM
ap-7758	164	3	displays	display	VERB
ap-7758	164	4	the	the	DET
ap-7758	164	5	graph	graph	NOUN
ap-7758	164	6	of	of	ADP
ap-7758	164	7	p	p	NOUN
ap-7758	164	8	against	against	ADP
ap-7758	164	9	r∗	r∗	NOUN
ap-7758	164	10	for	for	ADP
ap-7758	164	11	distinctive	distinctive	ADJ
ap-7758	164	12	values	value	NOUN
ap-7758	164	13	of	of	ADP
ap-7758	164	14	β	β	PRON
ap-7758	164	15	and	and	CCONJ
ap-7758	164	16	it	it	PRON
ap-7758	164	17	can	can	AUX
ap-7758	164	18	be	be	AUX
ap-7758	164	19	seen	see	VERB
ap-7758	164	20	that	that	SCONJ
ap-7758	164	21	the	the	DET
ap-7758	164	22	pressure	pressure	NOUN
ap-7758	164	23	is	be	AUX
ap-7758	164	24	a	a	DET
ap-7758	164	25	significant	significant	ADJ
ap-7758	164	26	factor	factor	NOUN
ap-7758	164	27	for	for	ADP
ap-7758	164	28	increasing	increase	VERB
ap-7758	164	29	β	β	PROPN
ap-7758	164	30	values	value	NOUN
ap-7758	164	31	.	.	PUNCT
ap-7758	165	1	3.2	3.2	NUM
ap-7758	165	2	.	.	PUNCT
ap-7758	166	1	mean	mean	VERB
ap-7758	166	2	load	load	NOUN
ap-7758	166	3	supporting	support	VERB
ap-7758	166	4	capacity	capacity	NOUN
ap-7758	166	5	the	the	DET
ap-7758	166	6	deviation	deviation	NOUN
ap-7758	166	7	of	of	ADP
ap-7758	166	8	mean	mean	ADJ
ap-7758	166	9	load	load	NOUN
ap-7758	166	10	supporting	support	VERB
ap-7758	166	11	capacity	capacity	NOUN
ap-7758	166	12	w	w	NOUN
ap-7758	166	13	against	against	ADP
ap-7758	166	14	curvature	curvature	NOUN
ap-7758	166	15	parameter	parameter	NOUN
ap-7758	166	16	β	β	PROPN
ap-7758	166	17	as	as	ADP
ap-7758	166	18	a	a	DET
ap-7758	166	19	function	function	NOUN
ap-7758	166	20	of	of	ADP
ap-7758	166	21	c	c	PROPN
ap-7758	166	22	is	be	AUX
ap-7758	166	23	displayed	display	VERB
ap-7758	166	24	in	in	ADP
ap-7758	166	25	figure	figure	NOUN
ap-7758	166	26	7	7	NUM
ap-7758	166	27	for	for	ADP
ap-7758	166	28	both	both	DET
ap-7758	166	29	roughness	roughness	NOUN
ap-7758	166	30	configurations	configuration	NOUN
ap-7758	166	31	and	and	CCONJ
ap-7758	166	32	it	it	PRON
ap-7758	166	33	can	can	AUX
ap-7758	166	34	be	be	AUX
ap-7758	166	35	seen	see	VERB
ap-7758	166	36	that	that	SCONJ
ap-7758	166	37	when	when	SCONJ
ap-7758	166	38	c	c	NOUN
ap-7758	166	39	=	=	SYM
ap-7758	166	40	0	0	PROPN
ap-7758	166	41	,	,	PUNCT
ap-7758	166	42	an	an	DET
ap-7758	166	43	azimuthal	azimuthal	ADJ
ap-7758	166	44	and	and	CCONJ
ap-7758	166	45	radial	radial	ADJ
ap-7758	166	46	roughness	roughness	NOUN
ap-7758	166	47	configurations	configuration	NOUN
ap-7758	166	48	coincide	coincide	VERB
ap-7758	166	49	and	and	CCONJ
ap-7758	166	50	reduce	reduce	VERB
ap-7758	166	51	to	to	ADP
ap-7758	166	52	a	a	DET
ap-7758	166	53	smooth	smooth	ADJ
ap-7758	166	54	case	case	NOUN
ap-7758	166	55	.	.	PUNCT
ap-7758	167	1	in	in	ADP
ap-7758	167	2	figure	figure	NOUN
ap-7758	167	3	8	8	NUM
ap-7758	167	4	the	the	DET
ap-7758	167	5	profile	profile	NOUN
ap-7758	167	6	of	of	ADP
ap-7758	167	7	w	w	NOUN
ap-7758	167	8	against	against	ADP
ap-7758	167	9	β	β	PRON
ap-7758	167	10	as	as	ADP
ap-7758	167	11	a	a	DET
ap-7758	167	12	function	function	NOUN
ap-7758	167	13	of	of	ADP
ap-7758	167	14	permeability	permeability	NOUN
ap-7758	167	15	parameter	parameter	NOUN
ap-7758	167	16	ψ	ψ	PROPN
ap-7758	167	17	is	be	AUX
ap-7758	167	18	depicted	depict	VERB
ap-7758	167	19	and	and	CCONJ
ap-7758	167	20	shows	show	VERB
ap-7758	167	21	that	that	SCONJ
ap-7758	167	22	the	the	DET
ap-7758	167	23	mean	mean	ADJ
ap-7758	167	24	load	load	NOUN
ap-7758	167	25	declines	decline	VERB
ap-7758	167	26	for	for	ADP
ap-7758	167	27	larger	large	ADJ
ap-7758	167	28	ψ	ψ	NOUN
ap-7758	167	29	values	value	NOUN
ap-7758	167	30	.	.	PUNCT
ap-7758	168	1	the	the	DET
ap-7758	168	2	graph	graph	NOUN
ap-7758	168	3	w	w	NOUN
ap-7758	168	4	along	along	ADP
ap-7758	168	5	β	β	X
ap-7758	168	6	for	for	ADP
ap-7758	168	7	several	several	ADJ
ap-7758	168	8	values	value	NOUN
ap-7758	168	9	of	of	ADP
ap-7758	168	10	hartmann	hartmann	PROPN
ap-7758	168	11	number	number	NOUN
ap-7758	168	12	is	be	AUX
ap-7758	168	13	illustrated	illustrate	VERB
ap-7758	168	14	in	in	ADP
ap-7758	168	15	figure	figure	NOUN
ap-7758	168	16	9	9	NUM
ap-7758	168	17	and	and	CCONJ
ap-7758	168	18	for	for	ADP
ap-7758	168	19	distinct	distinct	ADJ
ap-7758	168	20	values	value	NOUN
ap-7758	168	21	of	of	ADP
ap-7758	168	22	l∗	l∗	PROPN
ap-7758	168	23	in	in	ADP
ap-7758	168	24	figure	figure	NOUN
ap-7758	168	25	10	10	NUM
ap-7758	168	26	.	.	PUNCT
ap-7758	169	1	it	it	PRON
ap-7758	169	2	is	be	AUX
ap-7758	169	3	found	find	VERB
ap-7758	169	4	that	that	SCONJ
ap-7758	169	5	the	the	DET
ap-7758	169	6	impact	impact	NOUN
ap-7758	169	7	of	of	ADP
ap-7758	169	8	couple	couple	NOUN
ap-7758	169	9	stress	stress	NOUN
ap-7758	169	10	fluid	fluid	NOUN
ap-7758	169	11	in	in	ADP
ap-7758	169	12	the	the	DET
ap-7758	169	13	existence	existence	NOUN
ap-7758	169	14	of	of	ADP
ap-7758	169	15	applied	apply	VERB
ap-7758	169	16	magnetic	magnetic	ADJ
ap-7758	169	17	field	field	NOUN
ap-7758	169	18	is	be	AUX
ap-7758	169	19	to	to	PART
ap-7758	169	20	substantially	substantially	ADV
ap-7758	169	21	enhance	enhance	VERB
ap-7758	169	22	the	the	DET
ap-7758	169	23	load	load	NOUN
ap-7758	169	24	supporting	support	VERB
ap-7758	169	25	capacity	capacity	NOUN
ap-7758	169	26	as	as	SCONJ
ap-7758	169	27	compared	compare	VERB
ap-7758	169	28	to	to	ADP
ap-7758	169	29	newtonian	newtonian	ADJ
ap-7758	169	30	fluids	fluid	NOUN
ap-7758	169	31	.	.	PUNCT
ap-7758	170	1	this	this	PRON
ap-7758	170	2	is	be	AUX
ap-7758	170	3	due	due	ADJ
ap-7758	170	4	to	to	ADP
ap-7758	170	5	the	the	DET
ap-7758	170	6	use	use	NOUN
ap-7758	170	7	of	of	ADP
ap-7758	170	8	magnetic	magnetic	ADJ
ap-7758	170	9	field	field	NOUN
ap-7758	170	10	normal	normal	ADJ
ap-7758	170	11	to	to	ADP
ap-7758	170	12	the	the	DET
ap-7758	170	13	flow	flow	NOUN
ap-7758	170	14	,	,	PUNCT
ap-7758	170	15	which	which	PRON
ap-7758	170	16	results	result	VERB
ap-7758	170	17	in	in	ADP
ap-7758	170	18	a	a	DET
ap-7758	170	19	lower	low	ADJ
ap-7758	170	20	velocity	velocity	NOUN
ap-7758	170	21	of	of	ADP
ap-7758	170	22	the	the	DET
ap-7758	170	23	lubricant	lubricant	NOUN
ap-7758	170	24	in	in	ADP
ap-7758	170	25	the	the	DET
ap-7758	170	26	fluid	fluid	ADJ
ap-7758	170	27	film	film	NOUN
ap-7758	170	28	region	region	NOUN
ap-7758	170	29	.	.	PUNCT
ap-7758	171	1	thus	thus	ADV
ap-7758	171	2	,	,	PUNCT
ap-7758	171	3	a	a	DET
ap-7758	171	4	large	large	ADJ
ap-7758	171	5	amount	amount	NOUN
ap-7758	171	6	of	of	ADP
ap-7758	171	7	the	the	DET
ap-7758	171	8	fluid	fluid	NOUN
ap-7758	171	9	is	be	AUX
ap-7758	171	10	retained	retain	VERB
ap-7758	171	11	in	in	ADP
ap-7758	171	12	the	the	DET
ap-7758	171	13	film	film	NOUN
ap-7758	171	14	region	region	NOUN
ap-7758	171	15	,	,	PUNCT
ap-7758	171	16	and	and	CCONJ
ap-7758	171	17	this	this	PRON
ap-7758	171	18	yields	yield	VERB
ap-7758	171	19	a	a	DET
ap-7758	171	20	rise	rise	NOUN
ap-7758	171	21	in	in	ADP
ap-7758	171	22	pressure	pressure	NOUN
ap-7758	171	23	.	.	PUNCT
ap-7758	172	1	figure	figure	NOUN
ap-7758	172	2	11	11	NUM
ap-7758	172	3	represents	represent	VERB
ap-7758	172	4	the	the	DET
ap-7758	172	5	load	load	NOUN
ap-7758	172	6	profile	profile	NOUN
ap-7758	172	7	w	w	NOUN
ap-7758	172	8	along	along	ADP
ap-7758	172	9	β	β	X
ap-7758	172	10	for	for	ADP
ap-7758	172	11	distinct	distinct	ADJ
ap-7758	172	12	values	value	NOUN
ap-7758	172	13	of	of	ADP
ap-7758	172	14	radius	radius	NOUN
ap-7758	172	15	ratio	ratio	NOUN
ap-7758	172	16	α	α	PROPN
ap-7758	172	17	for	for	ADP
ap-7758	172	18	both	both	DET
ap-7758	172	19	roughness	roughness	NOUN
ap-7758	172	20	configurations	configuration	NOUN
ap-7758	172	21	and	and	CCONJ
ap-7758	172	22	it	it	PRON
ap-7758	172	23	shows	show	VERB
ap-7758	172	24	that	that	SCONJ
ap-7758	172	25	the	the	DET
ap-7758	172	26	mean	mean	ADJ
ap-7758	172	27	load	load	NOUN
ap-7758	172	28	decreases	decrease	VERB
ap-7758	172	29	for	for	ADP
ap-7758	172	30	rising	rise	VERB
ap-7758	172	31	values	value	NOUN
ap-7758	172	32	of	of	ADP
ap-7758	172	33	α	α	NOUN
ap-7758	172	34	.	.	PUNCT
ap-7758	173	1	furthermore	furthermore	ADV
ap-7758	173	2	,	,	PUNCT
ap-7758	173	3	the	the	DET
ap-7758	173	4	mean	mean	ADJ
ap-7758	173	5	load	load	NOUN
ap-7758	173	6	increases	increase	NOUN
ap-7758	173	7	for	for	ADP
ap-7758	173	8	larger	large	ADJ
ap-7758	173	9	β	β	NOUN
ap-7758	173	10	values	value	NOUN
ap-7758	173	11	.	.	PUNCT
ap-7758	174	1	3.3	3.3	NUM
ap-7758	174	2	.	.	PUNCT
ap-7758	175	1	squeeze	squeeze	NOUN
ap-7758	175	2	film	film	NOUN
ap-7758	175	3	time	time	NOUN
ap-7758	175	4	figure	figure	NOUN
ap-7758	175	5	12	12	NUM
ap-7758	175	6	shows	show	VERB
ap-7758	175	7	the	the	DET
ap-7758	175	8	deviation	deviation	NOUN
ap-7758	175	9	of	of	ADP
ap-7758	175	10	dimensionless	dimensionless	NOUN
ap-7758	175	11	squeeze	squeeze	NOUN
ap-7758	175	12	film	film	NOUN
ap-7758	175	13	t	t	NOUN
ap-7758	175	14	against	against	ADP
ap-7758	175	15	dimensionless	dimensionless	NOUN
ap-7758	175	16	film	film	NOUN
ap-7758	175	17	height	height	NOUN
ap-7758	175	18	h∗	h∗	PROPN
ap-7758	175	19	1	1	NUM
ap-7758	175	20	for	for	ADP
ap-7758	175	21	distinct	distinct	ADJ
ap-7758	175	22	values	value	NOUN
ap-7758	175	23	of	of	ADP
ap-7758	175	24	c	c	NOUN
ap-7758	175	25	,	,	PUNCT
ap-7758	175	26	illustrated	illustrate	VERB
ap-7758	175	27	for	for	ADP
ap-7758	175	28	both	both	DET
ap-7758	175	29	roughness	roughness	NOUN
ap-7758	175	30	configurations	configuration	NOUN
ap-7758	175	31	.	.	PUNCT
ap-7758	176	1	from	from	ADP
ap-7758	176	2	the	the	DET
ap-7758	176	3	results	result	NOUN
ap-7758	176	4	obtained	obtain	VERB
ap-7758	176	5	,	,	PUNCT
ap-7758	176	6	squeeze	squeeze	VERB
ap-7758	176	7	film	film	NOUN
ap-7758	176	8	time	time	NOUN
ap-7758	176	9	t	t	PROPN
ap-7758	176	10	is	be	AUX
ap-7758	176	11	predicted	predict	VERB
ap-7758	176	12	to	to	PART
ap-7758	176	13	increase	increase	VERB
ap-7758	176	14	(	(	PUNCT
ap-7758	176	15	decreases	decrease	NOUN
ap-7758	176	16	)	)	PUNCT
ap-7758	176	17	for	for	ADP
ap-7758	176	18	azimuthal	azimuthal	NOUN
ap-7758	176	19	(	(	PUNCT
ap-7758	176	20	radial	radial	ADJ
ap-7758	176	21	)	)	PUNCT
ap-7758	176	22	roughness	roughness	NOUN
ap-7758	176	23	configurations	configuration	NOUN
ap-7758	176	24	as	as	SCONJ
ap-7758	176	25	compared	compare	VERB
ap-7758	176	26	to	to	ADP
ap-7758	176	27	the	the	DET
ap-7758	176	28	solid	solid	ADJ
ap-7758	176	29	case	case	NOUN
ap-7758	176	30	.	.	PUNCT
ap-7758	177	1	the	the	DET
ap-7758	177	2	time	time	NOUN
ap-7758	177	3	profile	profile	PROPN
ap-7758	177	4	t	t	PROPN
ap-7758	177	5	against	against	ADP
ap-7758	177	6	h∗	h∗	PROPN
ap-7758	177	7	1	1	NUM
ap-7758	177	8	for	for	ADP
ap-7758	177	9	distinct	distinct	ADJ
ap-7758	177	10	values	value	NOUN
ap-7758	177	11	of	of	ADP
ap-7758	177	12	ψ	ψ	NOUN
ap-7758	177	13	is	be	AUX
ap-7758	177	14	presented	present	VERB
ap-7758	177	15	in	in	ADP
ap-7758	177	16	figure	figure	NOUN
ap-7758	177	17	13	13	NUM
ap-7758	177	18	and	and	CCONJ
ap-7758	177	19	it	it	PRON
ap-7758	177	20	clearly	clearly	ADV
ap-7758	177	21	shows	show	VERB
ap-7758	177	22	that	that	SCONJ
ap-7758	177	23	t	t	PROPN
ap-7758	177	24	increases	increase	VERB
ap-7758	177	25	for	for	ADP
ap-7758	177	26	decreasing	decrease	VERB
ap-7758	177	27	ψ	ψ	PRON
ap-7758	177	28	values	value	NOUN
ap-7758	177	29	,	,	PUNCT
ap-7758	177	30	even	even	ADV
ap-7758	177	31	more	more	ADV
ap-7758	177	32	significantly	significantly	ADV
ap-7758	177	33	for	for	ADP
ap-7758	177	34	the	the	DET
ap-7758	177	35	azimuthal	azimuthal	NOUN
ap-7758	177	36	roughness	roughness	NOUN
ap-7758	177	37	structure	structure	NOUN
ap-7758	177	38	.	.	PUNCT
ap-7758	178	1	figure	figure	VERB
ap-7758	178	2	14	14	NUM
ap-7758	178	3	depict	depict	NOUN
ap-7758	178	4	the	the	DET
ap-7758	178	5	time	time	NOUN
ap-7758	178	6	variation	variation	NOUN
ap-7758	178	7	t	t	PROPN
ap-7758	178	8	against	against	ADP
ap-7758	178	9	h∗	h∗	PROPN
ap-7758	178	10	1	1	NUM
ap-7758	178	11	as	as	ADP
ap-7758	178	12	a	a	DET
ap-7758	178	13	function	function	NOUN
ap-7758	178	14	of	of	ADP
ap-7758	178	15	hartmann	hartmann	PROPN
ap-7758	178	16	number	number	NOUN
ap-7758	178	17	m	m	PROPN
ap-7758	178	18	and	and	CCONJ
ap-7758	178	19	shows	show	VERB
ap-7758	178	20	that	that	SCONJ
ap-7758	178	21	t	t	PROPN
ap-7758	178	22	increases	increase	VERB
ap-7758	178	23	for	for	ADP
ap-7758	178	24	larger	large	ADJ
ap-7758	178	25	m	m	NOUN
ap-7758	178	26	values	value	NOUN
ap-7758	178	27	.	.	PUNCT
ap-7758	179	1	the	the	DET
ap-7758	179	2	graph	graph	NOUN
ap-7758	179	3	of	of	ADP
ap-7758	179	4	t	t	PROPN
ap-7758	179	5	against	against	ADP
ap-7758	179	6	h∗	h∗	PROPN
ap-7758	179	7	1	1	NUM
ap-7758	179	8	for	for	ADP
ap-7758	179	9	various	various	ADJ
ap-7758	179	10	values	value	NOUN
ap-7758	179	11	of	of	ADP
ap-7758	179	12	couple	couple	NOUN
ap-7758	179	13	stress	stress	NOUN
ap-7758	179	14	parameter	parameter	PROPN
ap-7758	179	15	l∗	l∗	PROPN
ap-7758	179	16	is	be	AUX
ap-7758	179	17	shown	show	VERB
ap-7758	179	18	in	in	ADP
ap-7758	179	19	figure	figure	NOUN
ap-7758	179	20	15	15	NUM
ap-7758	179	21	and	and	CCONJ
ap-7758	179	22	it	it	PRON
ap-7758	179	23	can	can	AUX
ap-7758	179	24	clearly	clearly	ADV
ap-7758	179	25	be	be	AUX
ap-7758	179	26	seen	see	VERB
ap-7758	179	27	that	that	SCONJ
ap-7758	179	28	the	the	DET
ap-7758	179	29	impact	impact	NOUN
ap-7758	179	30	of	of	ADP
ap-7758	179	31	l∗	l∗	PROPN
ap-7758	179	32	enhances	enhance	VERB
ap-7758	179	33	the	the	DET
ap-7758	179	34	squeeze	squeeze	NOUN
ap-7758	179	35	film	film	NOUN
ap-7758	179	36	time	time	NOUN
ap-7758	179	37	.	.	PUNCT
ap-7758	180	1	figure	figure	NOUN
ap-7758	180	2	16	16	NUM
ap-7758	180	3	represents	represent	VERB
ap-7758	180	4	the	the	DET
ap-7758	180	5	deviation	deviation	NOUN
ap-7758	180	6	of	of	ADP
ap-7758	180	7	t	t	PROPN
ap-7758	180	8	against	against	ADP
ap-7758	180	9	h∗	h∗	PROPN
ap-7758	180	10	1	1	NUM
ap-7758	180	11	for	for	ADP
ap-7758	180	12	distinct	distinct	ADJ
ap-7758	180	13	values	value	NOUN
ap-7758	180	14	of	of	ADP
ap-7758	180	15	radius	radius	NOUN
ap-7758	180	16	ratio	ratio	NOUN
ap-7758	180	17	α	α	PROPN
ap-7758	180	18	and	and	CCONJ
ap-7758	180	19	shows	show	VERB
ap-7758	180	20	that	that	SCONJ
ap-7758	180	21	t	t	PROPN
ap-7758	180	22	decreases	decrease	VERB
ap-7758	180	23	for	for	ADP
ap-7758	180	24	larger	large	ADJ
ap-7758	180	25	values	value	NOUN
ap-7758	180	26	of	of	ADP
ap-7758	180	27	radius	radius	NOUN
ap-7758	180	28	ratio	ratio	NOUN
ap-7758	180	29	.	.	PUNCT
ap-7758	181	1	the	the	DET
ap-7758	181	2	time	time	NOUN
ap-7758	181	3	profile	profile	PROPN
ap-7758	181	4	t	t	PROPN
ap-7758	181	5	along	along	ADP
ap-7758	181	6	h∗	h∗	PROPN
ap-7758	181	7	1	1	NUM
ap-7758	181	8	as	as	ADP
ap-7758	181	9	a	a	DET
ap-7758	181	10	function	function	NOUN
ap-7758	181	11	of	of	ADP
ap-7758	181	12	curvature	curvature	NOUN
ap-7758	181	13	parameter	parameter	NOUN
ap-7758	181	14	β	β	PROPN
ap-7758	181	15	is	be	AUX
ap-7758	181	16	illustrated	illustrate	VERB
ap-7758	181	17	in	in	ADP
ap-7758	181	18	figure	figure	NOUN
ap-7758	181	19	17	17	NUM
ap-7758	181	20	and	and	CCONJ
ap-7758	181	21	shows	show	VERB
ap-7758	181	22	that	that	SCONJ
ap-7758	181	23	for	for	ADP
ap-7758	181	24	increasing	increase	VERB
ap-7758	181	25	β	β	PROPN
ap-7758	181	26	values	value	NOUN
ap-7758	181	27	,	,	PUNCT
ap-7758	181	28	t	t	PROPN
ap-7758	181	29	also	also	ADV
ap-7758	181	30	increases	increase	VERB
ap-7758	181	31	.	.	PUNCT
ap-7758	182	1	4	4	X
ap-7758	182	2	.	.	X
ap-7758	182	3	conclusion	conclusion	NOUN
ap-7758	182	4	using	use	VERB
ap-7758	182	5	a	a	DET
ap-7758	182	6	stochastic	stochastic	ADJ
ap-7758	182	7	model	model	NOUN
ap-7758	182	8	of	of	ADP
ap-7758	182	9	christensen	christensen	PROPN
ap-7758	182	10	for	for	ADP
ap-7758	182	11	rough	rough	ADJ
ap-7758	182	12	surfaces	surface	NOUN
ap-7758	182	13	,	,	PUNCT
ap-7758	182	14	the	the	DET
ap-7758	182	15	present	present	ADJ
ap-7758	182	16	analysis	analysis	NOUN
ap-7758	182	17	predicts	predict	VERB
ap-7758	182	18	the	the	DET
ap-7758	182	19	influence	influence	NOUN
ap-7758	182	20	of	of	ADP
ap-7758	182	21	roughness	roughness	NOUN
ap-7758	182	22	on	on	ADP
ap-7758	182	23	squeeze	squeeze	NOUN
ap-7758	182	24	film	film	NOUN
ap-7758	182	25	attributes	attribute	VERB
ap-7758	182	26	for	for	ADP
ap-7758	182	27	porous	porous	ADJ
ap-7758	182	28	annular	annular	ADJ
ap-7758	182	29	plates	plate	NOUN
ap-7758	182	30	with	with	ADP
ap-7758	182	31	mhd	mhd	NOUN
ap-7758	182	32	and	and	CCONJ
ap-7758	182	33	couple	couple	NOUN
ap-7758	182	34	stress	stress	NOUN
ap-7758	182	35	fluid	fluid	NOUN
ap-7758	182	36	.	.	PUNCT
ap-7758	183	1	through	through	ADP
ap-7758	183	2	the	the	DET
ap-7758	183	3	above	above	ADJ
ap-7758	183	4	discussions	discussion	NOUN
ap-7758	183	5	,	,	PUNCT
ap-7758	183	6	conclusions	conclusion	NOUN
ap-7758	183	7	are	be	AUX
ap-7758	183	8	drawn	draw	VERB
ap-7758	183	9	as	as	SCONJ
ap-7758	183	10	follows	follow	VERB
ap-7758	183	11	:	:	PUNCT
ap-7758	183	12	•	•	SCONJ
ap-7758	183	13	the	the	DET
ap-7758	183	14	surface	surface	NOUN
ap-7758	183	15	roughness	roughness	NOUN
ap-7758	183	16	impact	impact	NOUN
ap-7758	183	17	increases	increase	VERB
ap-7758	183	18	the	the	DET
ap-7758	183	19	pressure	pressure	NOUN
ap-7758	183	20	,	,	PUNCT
ap-7758	183	21	load	load	NOUN
ap-7758	183	22	supporting	support	VERB
ap-7758	183	23	capacity	capacity	NOUN
ap-7758	183	24	and	and	CCONJ
ap-7758	183	25	prolongs	prolong	VERB
ap-7758	183	26	film	film	NOUN
ap-7758	183	27	time	time	NOUN
ap-7758	183	28	in	in	ADP
ap-7758	183	29	comparison	comparison	NOUN
ap-7758	183	30	with	with	ADP
ap-7758	183	31	the	the	DET
ap-7758	183	32	smooth	smooth	ADJ
ap-7758	183	33	case	case	NOUN
ap-7758	183	34	.	.	PUNCT
ap-7758	184	1	this	this	DET
ap-7758	184	2	impact	impact	NOUN
ap-7758	184	3	is	be	AUX
ap-7758	184	4	greater	great	ADJ
ap-7758	184	5	for	for	ADP
ap-7758	184	6	the	the	DET
ap-7758	184	7	azimuthal	azimuthal	NOUN
ap-7758	184	8	roughness	roughness	NOUN
ap-7758	184	9	than	than	ADP
ap-7758	184	10	the	the	DET
ap-7758	184	11	radial	radial	ADJ
ap-7758	184	12	roughness	roughness	NOUN
ap-7758	184	13	structure	structure	NOUN
ap-7758	184	14	.	.	PUNCT
ap-7758	185	1	•	•	NOUN
ap-7758	185	2	in	in	ADP
ap-7758	185	3	a	a	DET
ap-7758	185	4	comparison	comparison	NOUN
ap-7758	185	5	with	with	ADP
ap-7758	185	6	non	non	ADJ
ap-7758	185	7	-	-	ADJ
ap-7758	185	8	magnetic	magnetic	ADJ
ap-7758	185	9	case	case	NOUN
ap-7758	185	10	,	,	PUNCT
ap-7758	185	11	the	the	DET
ap-7758	185	12	impact	impact	NOUN
ap-7758	185	13	of	of	ADP
ap-7758	185	14	hartmann	hartmann	PROPN
ap-7758	185	15	number	number	NOUN
ap-7758	185	16	enhances	enhance	VERB
ap-7758	185	17	the	the	DET
ap-7758	185	18	squeezing	squeeze	VERB
ap-7758	185	19	attributes	attribute	NOUN
ap-7758	185	20	for	for	ADP
ap-7758	185	21	both	both	DET
ap-7758	185	22	roughness	roughness	NOUN
ap-7758	185	23	structures	structure	NOUN
ap-7758	185	24	.	.	PUNCT
ap-7758	186	1	•	•	NUM
ap-7758	186	2	the	the	DET
ap-7758	186	3	couple	couple	NOUN
ap-7758	186	4	stress	stress	NOUN
ap-7758	186	5	effects	effect	NOUN
ap-7758	186	6	for	for	ADP
ap-7758	186	7	azimuthal	azimuthal	ADJ
ap-7758	186	8	roughness	roughness	NOUN
ap-7758	186	9	are	be	AUX
ap-7758	186	10	more	more	ADV
ap-7758	186	11	pronounced	pronounced	ADJ
ap-7758	186	12	than	than	ADP
ap-7758	186	13	for	for	ADP
ap-7758	186	14	the	the	DET
ap-7758	186	15	radial	radial	NOUN
ap-7758	186	16	.	.	PUNCT
ap-7758	187	1	also	also	ADV
ap-7758	187	2	,	,	PUNCT
ap-7758	187	3	the	the	DET
ap-7758	187	4	squeeze	squeeze	NOUN
ap-7758	187	5	film	film	NOUN
ap-7758	187	6	attributes	attribute	NOUN
ap-7758	187	7	are	be	AUX
ap-7758	187	8	very	very	ADV
ap-7758	187	9	significant	significant	ADJ
ap-7758	187	10	for	for	ADP
ap-7758	187	11	non	non	ADJ
ap-7758	187	12	-	-	ADJ
ap-7758	187	13	newtonian	newtonian	ADJ
ap-7758	187	14	case	case	NOUN
ap-7758	187	15	.	.	PUNCT
ap-7758	188	1	•	•	NUM
ap-7758	188	2	the	the	DET
ap-7758	188	3	permeability	permeability	NOUN
ap-7758	188	4	parameter	parameter	NOUN
ap-7758	188	5	effect	effect	NOUN
ap-7758	188	6	reduces	reduce	VERB
ap-7758	188	7	the	the	DET
ap-7758	188	8	performance	performance	NOUN
ap-7758	188	9	of	of	ADP
ap-7758	188	10	squeeze	squeeze	NOUN
ap-7758	188	11	-	-	PUNCT
ap-7758	188	12	film	film	NOUN
ap-7758	188	13	characteristics	characteristic	NOUN
ap-7758	188	14	as	as	SCONJ
ap-7758	188	15	compared	compare	VERB
ap-7758	188	16	to	to	ADP
ap-7758	188	17	the	the	DET
ap-7758	188	18	solid	solid	ADJ
ap-7758	188	19	case	case	NOUN
ap-7758	188	20	.	.	PUNCT
ap-7758	189	1	•	•	NUM
ap-7758	189	2	the	the	DET
ap-7758	189	3	load	load	NOUN
ap-7758	189	4	and	and	CCONJ
ap-7758	189	5	film	film	NOUN
ap-7758	189	6	time	time	NOUN
ap-7758	189	7	are	be	AUX
ap-7758	189	8	reduced	reduce	VERB
ap-7758	189	9	due	due	ADP
ap-7758	189	10	to	to	ADP
ap-7758	189	11	an	an	DET
ap-7758	189	12	increase	increase	NOUN
ap-7758	189	13	in	in	ADP
ap-7758	189	14	radius	radius	NOUN
ap-7758	189	15	ratio	ratio	NOUN
ap-7758	189	16	.	.	PUNCT
ap-7758	190	1	•	•	NUM
ap-7758	190	2	obtained	obtain	VERB
ap-7758	190	3	results	result	NOUN
ap-7758	190	4	are	be	AUX
ap-7758	190	5	compared	compare	VERB
ap-7758	190	6	with	with	ADP
ap-7758	190	7	previous	previous	ADJ
ap-7758	190	8	analysis	analysis	NOUN
ap-7758	190	9	carried	carry	VERB
ap-7758	190	10	out	out	ADP
ap-7758	190	11	by	by	ADP
ap-7758	190	12	hanumagowda	hanumagowda	PROPN
ap-7758	190	13	et	et	PROPN
ap-7758	190	14	al	al	PROPN
ap-7758	190	15	.	.	PUNCT
ap-7758	191	1	[	[	X
ap-7758	191	2	28	28	NUM
ap-7758	191	3	]	]	PUNCT
ap-7758	191	4	and	and	CCONJ
ap-7758	191	5	shown	show	VERB
ap-7758	191	6	in	in	ADP
ap-7758	191	7	the	the	DET
ap-7758	191	8	table	table	NOUN
ap-7758	191	9	1	1	X
ap-7758	191	10	.	.	PUNCT
ap-7758	192	1	it	it	PRON
ap-7758	192	2	is	be	AUX
ap-7758	192	3	observed	observe	VERB
ap-7758	192	4	that	that	SCONJ
ap-7758	192	5	there	there	PRON
ap-7758	192	6	is	be	VERB
ap-7758	192	7	a	a	DET
ap-7758	192	8	substantial	substantial	ADJ
ap-7758	192	9	increase	increase	NOUN
ap-7758	192	10	in	in	ADP
ap-7758	192	11	load	load	NOUN
ap-7758	192	12	and	and	CCONJ
ap-7758	192	13	time	time	NOUN
ap-7758	192	14	for	for	ADP
ap-7758	192	15	both	both	DET
ap-7758	192	16	roughness	roughness	NOUN
ap-7758	192	17	configurations	configuration	NOUN
ap-7758	192	18	in	in	ADP
ap-7758	192	19	the	the	DET
ap-7758	192	20	porous	porous	ADJ
ap-7758	192	21	region	region	NOUN
ap-7758	192	22	.	.	PUNCT
ap-7758	193	1	an	an	DET
ap-7758	193	2	increase	increase	NOUN
ap-7758	193	3	of	of	ADP
ap-7758	193	4	14	14	NUM
ap-7758	193	5	%	%	NOUN
ap-7758	193	6	(	(	PUNCT
ap-7758	193	7	15	15	NUM
ap-7758	193	8	%	%	NOUN
ap-7758	193	9	)	)	PUNCT
ap-7758	193	10	in	in	ADP
ap-7758	193	11	radial	radial	ADJ
ap-7758	193	12	(	(	PUNCT
ap-7758	193	13	azimuthal	azimuthal	NOUN
ap-7758	193	14	)	)	PUNCT
ap-7758	193	15	roughness	roughness	NOUN
ap-7758	193	16	configuration	configuration	NOUN
ap-7758	193	17	is	be	AUX
ap-7758	193	18	observed	observe	VERB
ap-7758	193	19	when	when	SCONJ
ap-7758	193	20	m	m	VERB
ap-7758	193	21	=	=	SYM
ap-7758	193	22	6	6	NUM
ap-7758	193	23	,	,	PUNCT
ap-7758	193	24	c	c	NOUN
ap-7758	193	25	=	=	SYM
ap-7758	193	26	0.2	0.2	NUM
ap-7758	193	27	and	and	CCONJ
ap-7758	193	28	ψ	ψ	X
ap-7758	193	29	=	=	NOUN
ap-7758	193	30	0.001	0.001	NUM
ap-7758	193	31	.	.	NOUN
ap-7758	194	1	•	•	NOUN
ap-7758	194	2	it	it	PRON
ap-7758	194	3	is	be	AUX
ap-7758	194	4	anticipated	anticipate	VERB
ap-7758	194	5	that	that	SCONJ
ap-7758	194	6	these	these	DET
ap-7758	194	7	results	result	NOUN
ap-7758	194	8	will	will	AUX
ap-7758	194	9	help	help	VERB
ap-7758	194	10	the	the	DET
ap-7758	194	11	design	design	NOUN
ap-7758	194	12	engineers	engineer	NOUN
ap-7758	194	13	in	in	ADP
ap-7758	194	14	choosing	choose	VERB
ap-7758	194	15	the	the	DET
ap-7758	194	16	most	most	ADV
ap-7758	194	17	suitable	suitable	ADJ
ap-7758	194	18	structure	structure	NOUN
ap-7758	194	19	,	,	PUNCT
ap-7758	194	20	magnetic	magnetic	ADJ
ap-7758	194	21	field	field	NOUN
ap-7758	194	22	,	,	PUNCT
ap-7758	194	23	and	and	CCONJ
ap-7758	194	24	lubricant	lubricant	NOUN
ap-7758	194	25	additives	additive	NOUN
ap-7758	194	26	to	to	PART
ap-7758	194	27	prolong	prolong	VERB
ap-7758	194	28	the	the	DET
ap-7758	194	29	bearing	bearing	NOUN
ap-7758	194	30	’s	’s	PART
ap-7758	194	31	life	life	NOUN
ap-7758	194	32	.	.	PUNCT
ap-7758	195	1	these	these	DET
ap-7758	195	2	results	result	NOUN
ap-7758	195	3	are	be	AUX
ap-7758	195	4	in	in	ADP
ap-7758	195	5	agreement	agreement	NOUN
ap-7758	195	6	with	with	ADP
ap-7758	195	7	the	the	DET
ap-7758	195	8	experimental	experimental	ADJ
ap-7758	195	9	study	study	NOUN
ap-7758	195	10	by	by	ADP
ap-7758	195	11	artur	artur	PROPN
ap-7758	195	12	et	et	PROPN
ap-7758	195	13	al	al	PROPN
ap-7758	195	14	.	.	PUNCT
ap-7758	196	1	[	[	X
ap-7758	196	2	31	31	NUM
ap-7758	196	3	]	]	PUNCT
ap-7758	196	4	that	that	SCONJ
ap-7758	196	5	the	the	DET
ap-7758	196	6	final	final	ADJ
ap-7758	196	7	composition	composition	NOUN
ap-7758	196	8	of	of	ADP
ap-7758	196	9	the	the	DET
ap-7758	196	10	lubricant	lubricant	NOUN
ap-7758	196	11	should	should	AUX
ap-7758	196	12	be	be	AUX
ap-7758	196	13	supplemented	supplement	VERB
ap-7758	196	14	with	with	ADP
ap-7758	196	15	suitably	suitably	ADV
ap-7758	196	16	selected	select	VERB
ap-7758	196	17	additives	additive	NOUN
ap-7758	196	18	.	.	PUNCT
ap-7758	197	1	579	579	NUM
ap-7758	197	2	salma	salma	PROPN
ap-7758	197	3	alla	alla	PUNCT
ap-7758	197	4	baksh	baksh	PROPN
ap-7758	197	5	,	,	PUNCT
ap-7758	197	6	hanumagowda	hanumagowda	PROPN
ap-7758	197	7	bannihalli	bannihalli	PROPN
ap-7758	197	8	naganagowda	naganagowda	PROPN
ap-7758	197	9	acta	acta	PROPN
ap-7758	197	10	polytechnica	polytechnica	PROPN
ap-7758	197	11	figure	figure	NOUN
ap-7758	197	12	2	2	NUM
ap-7758	197	13	.	.	PUNCT
ap-7758	197	14	variation	variation	NOUN
ap-7758	197	15	of	of	ADP
ap-7758	197	16	p	p	NOUN
ap-7758	197	17	against	against	ADP
ap-7758	197	18	r∗	r∗	NOUN
ap-7758	197	19	for	for	ADP
ap-7758	197	20	distinct	distinct	ADJ
ap-7758	197	21	values	value	NOUN
ap-7758	197	22	of	of	ADP
ap-7758	197	23	c	c	PROPN
ap-7758	197	24	with	with	ADP
ap-7758	197	25	m	m	PROPN
ap-7758	197	26	=	=	SYM
ap-7758	197	27	3	3	NUM
ap-7758	197	28	,	,	PUNCT
ap-7758	197	29	l∗	l∗	PROPN
ap-7758	197	30	=	=	NOUN
ap-7758	197	31	0.3	0.3	NUM
ap-7758	197	32	,	,	PUNCT
ap-7758	197	33	α	α	NOUN
ap-7758	197	34	=	=	SYM
ap-7758	197	35	0.4	0.4	NUM
ap-7758	197	36	,	,	PUNCT
ap-7758	197	37	β	β	X
ap-7758	197	38	=	=	SYM
ap-7758	197	39	0.5	0.5	NUM
ap-7758	197	40	,	,	PUNCT
ap-7758	197	41	ψ	ψ	X
ap-7758	197	42	=	=	NOUN
ap-7758	197	43	0.001	0.001	NUM
ap-7758	197	44	,	,	PUNCT
ap-7758	197	45	m	m	VERB
ap-7758	197	46	=	=	NOUN
ap-7758	197	47	0.6	0.6	NUM
ap-7758	197	48	,	,	PUNCT
ap-7758	197	49	δ∗	δ∗	X
ap-7758	197	50	=	=	NOUN
ap-7758	197	51	0.01	0.01	NUM
ap-7758	197	52	,	,	PUNCT
ap-7758	197	53	φ	φ	NOUN
ap-7758	197	54	=	=	SYM
ap-7758	197	55	0.2	0.2	NUM
ap-7758	197	56	.	.	PUNCT
ap-7758	198	1	figure	figure	NOUN
ap-7758	198	2	3	3	NUM
ap-7758	198	3	.	.	PUNCT
ap-7758	198	4	variation	variation	NOUN
ap-7758	198	5	of	of	ADP
ap-7758	198	6	p	p	NOUN
ap-7758	198	7	against	against	ADP
ap-7758	198	8	r∗	r∗	NOUN
ap-7758	198	9	for	for	ADP
ap-7758	198	10	distinct	distinct	ADJ
ap-7758	198	11	values	value	NOUN
ap-7758	198	12	of	of	ADP
ap-7758	198	13	ψ	ψ	NOUN
ap-7758	198	14	with	with	ADP
ap-7758	198	15	m	m	PROPN
ap-7758	198	16	=	=	SYM
ap-7758	198	17	3	3	NUM
ap-7758	198	18	,	,	PUNCT
ap-7758	198	19	l∗	l∗	PROPN
ap-7758	198	20	=	=	PUNCT
ap-7758	198	21	0.3	0.3	NUM
ap-7758	198	22	,	,	PUNCT
ap-7758	198	23	c	c	X
ap-7758	198	24	=	=	SYM
ap-7758	198	25	0.3	0.3	NUM
ap-7758	198	26	,	,	PUNCT
ap-7758	198	27	α	α	NOUN
ap-7758	198	28	=	=	SYM
ap-7758	198	29	0.4	0.4	NUM
ap-7758	198	30	,	,	PUNCT
ap-7758	198	31	β	β	X
ap-7758	198	32	=	=	SYM
ap-7758	198	33	0.5	0.5	NUM
ap-7758	198	34	,	,	PUNCT
ap-7758	198	35	,	,	PUNCT
ap-7758	198	36	m	m	VERB
ap-7758	198	37	=	=	ADJ
ap-7758	198	38	0.6	0.6	NUM
ap-7758	198	39	,	,	PUNCT
ap-7758	198	40	δ∗	δ∗	X
ap-7758	198	41	=	=	NOUN
ap-7758	198	42	0.01	0.01	NUM
ap-7758	198	43	,	,	PUNCT
ap-7758	198	44	φ	φ	NOUN
ap-7758	198	45	=	=	SYM
ap-7758	198	46	0.2	0.2	NUM
ap-7758	198	47	.	.	PUNCT
ap-7758	199	1	figure	figure	VERB
ap-7758	199	2	4	4	NUM
ap-7758	199	3	.	.	PUNCT
ap-7758	200	1	variation	variation	NOUN
ap-7758	200	2	of	of	ADP
ap-7758	200	3	p	p	NOUN
ap-7758	200	4	against	against	ADP
ap-7758	200	5	r∗	r∗	NOUN
ap-7758	200	6	for	for	ADP
ap-7758	200	7	distinct	distinct	ADJ
ap-7758	200	8	values	value	NOUN
ap-7758	200	9	of	of	ADP
ap-7758	200	10	m	m	PROPN
ap-7758	200	11	with	with	ADP
ap-7758	200	12	c	c	NOUN
ap-7758	200	13	=	=	SYM
ap-7758	200	14	0.3	0.3	NUM
ap-7758	200	15	,	,	PUNCT
ap-7758	200	16	l∗	l∗	PROPN
ap-7758	200	17	=	=	PUNCT
ap-7758	200	18	0.3	0.3	NUM
ap-7758	200	19	,	,	PUNCT
ap-7758	200	20	α	α	NOUN
ap-7758	200	21	=	=	SYM
ap-7758	200	22	0.4	0.4	NUM
ap-7758	200	23	,	,	PUNCT
ap-7758	200	24	β	β	X
ap-7758	200	25	=	=	SYM
ap-7758	200	26	0.5	0.5	NUM
ap-7758	200	27	,	,	PUNCT
ap-7758	200	28	ψ	ψ	X
ap-7758	200	29	=	=	NOUN
ap-7758	200	30	0.001	0.001	NUM
ap-7758	200	31	,	,	PUNCT
ap-7758	200	32	m	m	VERB
ap-7758	200	33	=	=	NOUN
ap-7758	200	34	0.6	0.6	NUM
ap-7758	200	35	,	,	PUNCT
ap-7758	200	36	δ∗	δ∗	X
ap-7758	200	37	=	=	NOUN
ap-7758	200	38	0.01	0.01	NUM
ap-7758	200	39	,	,	PUNCT
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ap-7758	200	41	=	=	PUNCT
ap-7758	200	42	0.2	0.2	NUM
ap-7758	200	43	.	.	PUNCT
ap-7758	201	1	580	580	NUM
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ap-7758	201	3	.	.	PUNCT
ap-7758	202	1	62	62	NUM
ap-7758	202	2	no	no	INTJ
ap-7758	202	3	.	.	PUNCT
ap-7758	203	1	6/2022	6/2022	NUM
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ap-7758	203	3	of	of	ADP
ap-7758	203	4	surface	surface	NOUN
ap-7758	203	5	roughness	roughness	NOUN
ap-7758	203	6	with	with	ADP
ap-7758	203	7	mhd	mhd	NOUN
ap-7758	203	8	and	and	CCONJ
ap-7758	203	9	couple	couple	NOUN
ap-7758	203	10	stress	stress	NOUN
ap-7758	203	11	fluid	fluid	NOUN
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ap-7758	203	13	.	.	PUNCT
ap-7758	203	14	.	.	PUNCT
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ap-7758	204	3	.	.	PUNCT
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ap-7758	205	5	r∗	r∗	NOUN
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ap-7758	205	7	distinct	distinct	ADJ
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ap-7758	205	9	of	of	ADP
ap-7758	205	10	l∗	l∗	PROPN
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ap-7758	205	12	c	c	NOUN
ap-7758	205	13	=	=	SYM
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ap-7758	205	15	,	,	PUNCT
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ap-7758	205	17	=	=	NOUN
ap-7758	205	18	3	3	NUM
ap-7758	205	19	,	,	PUNCT
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ap-7758	205	21	=	=	SYM
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ap-7758	205	23	,	,	PUNCT
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ap-7758	205	25	=	=	SYM
ap-7758	205	26	0.5	0.5	NUM
ap-7758	205	27	,	,	PUNCT
ap-7758	205	28	ψ	ψ	X
ap-7758	205	29	=	=	NOUN
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ap-7758	205	31	,	,	PUNCT
ap-7758	205	32	m	m	VERB
ap-7758	205	33	=	=	NOUN
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ap-7758	205	35	,	,	PUNCT
ap-7758	205	36	δ∗	δ∗	X
ap-7758	205	37	=	=	NOUN
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ap-7758	205	39	,	,	PUNCT
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ap-7758	205	41	=	=	SYM
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ap-7758	205	43	.	.	PUNCT
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ap-7758	206	2	6	6	NUM
ap-7758	206	3	.	.	PUNCT
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ap-7758	207	3	p	p	NOUN
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ap-7758	207	5	r∗	r∗	NOUN
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ap-7758	207	7	distinct	distinct	ADJ
ap-7758	207	8	values	value	NOUN
ap-7758	207	9	of	of	ADP
ap-7758	207	10	β	β	PRON
ap-7758	207	11	with	with	ADP
ap-7758	207	12	c	c	NOUN
ap-7758	207	13	=	=	SYM
ap-7758	207	14	0.3	0.3	NUM
ap-7758	207	15	,	,	PUNCT
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ap-7758	207	17	=	=	NOUN
ap-7758	207	18	3	3	NUM
ap-7758	207	19	,	,	PUNCT
ap-7758	207	20	α	α	NOUN
ap-7758	207	21	=	=	SYM
ap-7758	207	22	0.4	0.4	NUM
ap-7758	207	23	,	,	PUNCT
ap-7758	207	24	l∗	l∗	PROPN
ap-7758	207	25	=	=	PUNCT
ap-7758	207	26	0.3	0.3	NUM
ap-7758	207	27	,	,	PUNCT
ap-7758	207	28	ψ	ψ	X
ap-7758	207	29	=	=	NOUN
ap-7758	207	30	0.001	0.001	NUM
ap-7758	207	31	,	,	PUNCT
ap-7758	207	32	m	m	VERB
ap-7758	207	33	=	=	NOUN
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ap-7758	207	35	,	,	PUNCT
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ap-7758	207	37	=	=	NOUN
ap-7758	207	38	0.01	0.01	NUM
ap-7758	207	39	,	,	PUNCT
ap-7758	207	40	φ	φ	NOUN
ap-7758	207	41	=	=	SYM
ap-7758	207	42	0.2	0.2	NUM
ap-7758	207	43	.	.	PUNCT
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ap-7758	208	2	7	7	NUM
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ap-7758	208	5	of	of	ADP
ap-7758	208	6	w	w	NOUN
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ap-7758	208	8	β	β	PRON
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ap-7758	208	10	various	various	ADJ
ap-7758	208	11	values	value	NOUN
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ap-7758	208	13	c	c	PROPN
ap-7758	208	14	with	with	ADP
ap-7758	208	15	m	m	PROPN
ap-7758	208	16	=	=	SYM
ap-7758	208	17	3	3	NUM
ap-7758	208	18	,	,	PUNCT
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ap-7758	208	20	=	=	NOUN
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ap-7758	208	22	,	,	PUNCT
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ap-7758	208	24	=	=	SYM
ap-7758	208	25	0.4	0.4	NUM
ap-7758	208	26	,	,	PUNCT
ap-7758	208	27	ψ	ψ	X
ap-7758	208	28	=	=	NOUN
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ap-7758	208	30	,	,	PUNCT
ap-7758	208	31	m	m	VERB
ap-7758	208	32	=	=	NOUN
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ap-7758	208	34	,	,	PUNCT
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ap-7758	208	36	=	=	NOUN
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ap-7758	208	38	,	,	PUNCT
ap-7758	208	39	φ	φ	NOUN
ap-7758	208	40	=	=	PUNCT
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ap-7758	208	42	.	.	PUNCT
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ap-7758	209	5	,	,	PUNCT
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ap-7758	209	9	acta	acta	PROPN
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ap-7758	209	12	8	8	NUM
ap-7758	209	13	.	.	PUNCT
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ap-7758	210	5	β	β	PRON
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ap-7758	210	10	ψ	ψ	NOUN
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ap-7758	210	12	m	m	PROPN
ap-7758	210	13	=	=	SYM
ap-7758	210	14	3	3	NUM
ap-7758	210	15	,	,	PUNCT
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ap-7758	210	17	=	=	PUNCT
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ap-7758	210	19	,	,	PUNCT
ap-7758	210	20	c	c	NOUN
ap-7758	210	21	=	=	PUNCT
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ap-7758	210	23	α	α	NOUN
ap-7758	210	24	=	=	PUNCT
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ap-7758	210	26	,	,	PUNCT
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ap-7758	210	28	=	=	NOUN
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ap-7758	210	32	=	=	NOUN
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ap-7758	210	36	=	=	SYM
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ap-7758	212	10	m	m	PROPN
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ap-7758	212	12	c	c	NOUN
ap-7758	212	13	=	=	SYM
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ap-7758	212	15	,	,	PUNCT
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ap-7758	212	17	=	=	PUNCT
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ap-7758	212	19	,	,	PUNCT
ap-7758	212	20	α	α	NOUN
ap-7758	212	21	=	=	SYM
ap-7758	212	22	0.4	0.4	NUM
ap-7758	212	23	,	,	PUNCT
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ap-7758	212	25	=	=	NOUN
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ap-7758	212	29	=	=	NOUN
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ap-7758	212	33	=	=	NOUN
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ap-7758	212	37	=	=	SYM
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ap-7758	212	39	.	.	PUNCT
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ap-7758	213	2	10	10	NUM
ap-7758	213	3	.	.	PUNCT
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ap-7758	214	5	β	β	PRON
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ap-7758	214	10	l∗	l∗	PROPN
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ap-7758	214	13	=	=	SYM
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ap-7758	214	17	=	=	NOUN
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ap-7758	214	19	,	,	PUNCT
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ap-7758	214	21	=	=	SYM
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ap-7758	214	25	=	=	NOUN
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ap-7758	214	33	=	=	NOUN
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ap-7758	214	37	=	=	PUNCT
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ap-7758	214	39	.	.	PUNCT
ap-7758	215	1	582	582	NUM
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ap-7758	219	23	,	,	PUNCT
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ap-7758	219	25	=	=	NOUN
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ap-7758	223	26	=	=	SYM
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ap-7758	223	44	.	.	PUNCT
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ap-7758	224	8	naganagowda	naganagowda	PROPN
ap-7758	224	9	acta	acta	PROPN
ap-7758	224	10	polytechnica	polytechnica	PROPN
ap-7758	224	11	figure	figure	NOUN
ap-7758	224	12	14	14	NUM
ap-7758	224	13	.	.	PUNCT
ap-7758	225	1	variation	variation	NOUN
ap-7758	225	2	of	of	ADP
ap-7758	225	3	t	t	PROPN
ap-7758	225	4	against	against	ADP
ap-7758	225	5	h∗	h∗	PROPN
ap-7758	225	6	1	1	NUM
ap-7758	225	7	for	for	ADP
ap-7758	225	8	different	different	ADJ
ap-7758	225	9	values	value	NOUN
ap-7758	225	10	of	of	ADP
ap-7758	225	11	m	m	PROPN
ap-7758	225	12	with	with	ADP
ap-7758	225	13	c	c	NOUN
ap-7758	225	14	=	=	SYM
ap-7758	225	15	0.3	0.3	NUM
ap-7758	225	16	,	,	PUNCT
ap-7758	225	17	l∗	l∗	PROPN
ap-7758	225	18	=	=	PUNCT
ap-7758	225	19	0.3	0.3	NUM
ap-7758	225	20	,	,	PUNCT
ap-7758	225	21	α	α	NOUN
ap-7758	225	22	=	=	SYM
ap-7758	225	23	0.4	0.4	NUM
ap-7758	225	24	,	,	PUNCT
ap-7758	225	25	β	β	X
ap-7758	225	26	=	=	SYM
ap-7758	225	27	0.5	0.5	NUM
ap-7758	225	28	,	,	PUNCT
ap-7758	225	29	ψ	ψ	X
ap-7758	225	30	=	=	NOUN
ap-7758	225	31	0.001	0.001	NUM
ap-7758	225	32	,	,	PUNCT
ap-7758	225	33	m	m	VERB
ap-7758	225	34	=	=	NOUN
ap-7758	225	35	0.6	0.6	NUM
ap-7758	225	36	,	,	PUNCT
ap-7758	225	37	δ∗	δ∗	X
ap-7758	225	38	=	=	NOUN
ap-7758	225	39	0.01	0.01	NUM
ap-7758	225	40	,	,	PUNCT
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ap-7758	225	42	=	=	SYM
ap-7758	225	43	0.2	0.2	NUM
ap-7758	225	44	.	.	PUNCT
ap-7758	226	1	figure	figure	NOUN
ap-7758	226	2	15	15	NUM
ap-7758	226	3	.	.	PUNCT
ap-7758	227	1	variation	variation	NOUN
ap-7758	227	2	of	of	ADP
ap-7758	227	3	t	t	PROPN
ap-7758	227	4	against	against	ADP
ap-7758	227	5	h∗	h∗	PROPN
ap-7758	227	6	1	1	NUM
ap-7758	227	7	for	for	ADP
ap-7758	227	8	different	different	ADJ
ap-7758	227	9	values	value	NOUN
ap-7758	227	10	of	of	ADP
ap-7758	227	11	l∗	l∗	PROPN
ap-7758	227	12	with	with	ADP
ap-7758	227	13	c	c	NOUN
ap-7758	227	14	=	=	SYM
ap-7758	227	15	0.3	0.3	NUM
ap-7758	227	16	,	,	PUNCT
ap-7758	227	17	m	m	VERB
ap-7758	227	18	=	=	NOUN
ap-7758	227	19	3	3	NUM
ap-7758	227	20	,	,	PUNCT
ap-7758	227	21	α	α	NOUN
ap-7758	227	22	=	=	SYM
ap-7758	227	23	0.4	0.4	NUM
ap-7758	227	24	,	,	PUNCT
ap-7758	227	25	β	β	X
ap-7758	227	26	=	=	SYM
ap-7758	227	27	0.5	0.5	NUM
ap-7758	227	28	,	,	PUNCT
ap-7758	227	29	ψ	ψ	X
ap-7758	227	30	=	=	NOUN
ap-7758	227	31	0.001	0.001	NUM
ap-7758	227	32	,	,	PUNCT
ap-7758	227	33	m	m	VERB
ap-7758	227	34	=	=	NOUN
ap-7758	227	35	0.6	0.6	NUM
ap-7758	227	36	,	,	PUNCT
ap-7758	227	37	δ∗	δ∗	X
ap-7758	227	38	=	=	NOUN
ap-7758	227	39	0.01	0.01	NUM
ap-7758	227	40	,	,	PUNCT
ap-7758	227	41	φ	φ	NOUN
ap-7758	227	42	=	=	SYM
ap-7758	227	43	0.2	0.2	NUM
ap-7758	227	44	.	.	PUNCT
ap-7758	228	1	figure	figure	NOUN
ap-7758	228	2	16	16	NUM
ap-7758	228	3	.	.	PUNCT
ap-7758	229	1	variation	variation	NOUN
ap-7758	229	2	of	of	ADP
ap-7758	229	3	t	t	PROPN
ap-7758	229	4	against	against	ADP
ap-7758	229	5	h∗	h∗	PROPN
ap-7758	229	6	1	1	NUM
ap-7758	229	7	for	for	ADP
ap-7758	229	8	different	different	ADJ
ap-7758	229	9	values	value	NOUN
ap-7758	229	10	of	of	ADP
ap-7758	229	11	α	α	NOUN
ap-7758	229	12	with	with	ADP
ap-7758	229	13	c	c	NOUN
ap-7758	229	14	=	=	SYM
ap-7758	229	15	0.3	0.3	NUM
ap-7758	229	16	,	,	PUNCT
ap-7758	229	17	m	m	VERB
ap-7758	229	18	=	=	NOUN
ap-7758	229	19	3	3	NUM
ap-7758	229	20	,	,	PUNCT
ap-7758	229	21	l∗	l∗	PROPN
ap-7758	229	22	=	=	NOUN
ap-7758	229	23	0.3	0.3	NUM
ap-7758	229	24	,	,	PUNCT
ap-7758	229	25	β	β	X
ap-7758	229	26	=	=	SYM
ap-7758	229	27	0.5	0.5	NUM
ap-7758	229	28	,	,	PUNCT
ap-7758	229	29	ψ	ψ	X
ap-7758	229	30	=	=	NOUN
ap-7758	229	31	0.001	0.001	NUM
ap-7758	229	32	,	,	PUNCT
ap-7758	229	33	m	m	VERB
ap-7758	229	34	=	=	NOUN
ap-7758	229	35	0.6	0.6	NUM
ap-7758	229	36	,	,	PUNCT
ap-7758	229	37	δ∗	δ∗	X
ap-7758	229	38	=	=	NOUN
ap-7758	229	39	0.01	0.01	NUM
ap-7758	229	40	,	,	PUNCT
ap-7758	229	41	φ	φ	NOUN
ap-7758	229	42	=	=	PUNCT
ap-7758	229	43	0.2	0.2	NUM
ap-7758	229	44	.	.	PUNCT
ap-7758	230	1	584	584	NUM
ap-7758	230	2	vol	vol	NOUN
ap-7758	230	3	.	.	PUNCT
ap-7758	231	1	62	62	NUM
ap-7758	231	2	no	no	INTJ
ap-7758	231	3	.	.	PUNCT
ap-7758	232	1	6/2022	6/2022	NUM
ap-7758	232	2	study	study	NOUN
ap-7758	232	3	of	of	ADP
ap-7758	232	4	surface	surface	NOUN
ap-7758	232	5	roughness	roughness	NOUN
ap-7758	232	6	with	with	ADP
ap-7758	232	7	mhd	mhd	NOUN
ap-7758	232	8	and	and	CCONJ
ap-7758	232	9	couple	couple	NOUN
ap-7758	232	10	stress	stress	NOUN
ap-7758	232	11	fluid	fluid	NOUN
ap-7758	232	12	.	.	PUNCT
ap-7758	232	13	.	.	PUNCT
ap-7758	233	1	.	.	PUNCT
ap-7758	234	1	figure	figure	VERB
ap-7758	234	2	17	17	NUM
ap-7758	234	3	.	.	PUNCT
ap-7758	235	1	variation	variation	NOUN
ap-7758	235	2	of	of	ADP
ap-7758	235	3	t	t	PROPN
ap-7758	235	4	against	against	ADP
ap-7758	235	5	h∗	h∗	PROPN
ap-7758	235	6	1	1	NUM
ap-7758	235	7	for	for	ADP
ap-7758	235	8	different	different	ADJ
ap-7758	235	9	values	value	NOUN
ap-7758	235	10	of	of	ADP
ap-7758	235	11	β	β	PRON
ap-7758	235	12	with	with	ADP
ap-7758	235	13	c	c	NOUN
ap-7758	235	14	=	=	SYM
ap-7758	235	15	0.3	0.3	NUM
ap-7758	235	16	,	,	PUNCT
ap-7758	235	17	m	m	VERB
ap-7758	235	18	=	=	NOUN
ap-7758	235	19	3	3	NUM
ap-7758	235	20	,	,	PUNCT
ap-7758	235	21	l∗	l∗	PROPN
ap-7758	235	22	=	=	NOUN
ap-7758	235	23	0.3	0.3	NUM
ap-7758	235	24	,	,	PUNCT
ap-7758	235	25	α	α	NOUN
ap-7758	235	26	=	=	SYM
ap-7758	235	27	0.4	0.4	NUM
ap-7758	235	28	,	,	PUNCT
ap-7758	235	29	ψ	ψ	X
ap-7758	235	30	=	=	NOUN
ap-7758	235	31	0.001	0.001	NUM
ap-7758	235	32	,	,	PUNCT
ap-7758	235	33	m	m	VERB
ap-7758	235	34	=	=	NOUN
ap-7758	235	35	0.6	0.6	NUM
ap-7758	235	36	,	,	PUNCT
ap-7758	235	37	δ∗	δ∗	X
ap-7758	235	38	=	=	NOUN
ap-7758	235	39	0.01	0.01	NUM
ap-7758	235	40	,	,	PUNCT
ap-7758	235	41	φ	φ	NOUN
ap-7758	235	42	=	=	SYM
ap-7758	235	43	0.2	0.2	NUM
ap-7758	235	44	.	.	PUNCT
ap-7758	236	1	m	m	PROPN
ap-7758	236	2	hanumagowda	hanumagowda	NOUN
ap-7758	236	3	et	et	PROPN
ap-7758	236	4	al	al	PROPN
ap-7758	236	5	.	.	PUNCT
ap-7758	237	1	[	[	X
ap-7758	237	2	28	28	NUM
ap-7758	237	3	]	]	X
ap-7758	237	4	present	present	ADJ
ap-7758	237	5	analysis	analysis	NOUN
ap-7758	237	6	c	c	NOUN
ap-7758	237	7	=	=	SYM
ap-7758	237	8	0	0	NUM
ap-7758	237	9	,	,	PUNCT
ap-7758	237	10	ψ	ψ	X
ap-7758	237	11	=	=	SYM
ap-7758	237	12	0	0	NUM
ap-7758	237	13	c	c	NOUN
ap-7758	237	14	=	=	SYM
ap-7758	237	15	0.2	0.2	NUM
ap-7758	237	16	,	,	PUNCT
ap-7758	237	17	l∗	l∗	PROPN
ap-7758	237	18	=	=	PROPN
ap-7758	237	19	0.4	0.4	NUM
ap-7758	237	20	,	,	PUNCT
ap-7758	237	21	c	c	NOUN
ap-7758	237	22	=	=	SYM
ap-7758	237	23	0.2	0.2	NUM
ap-7758	237	24	,	,	PUNCT
ap-7758	237	25	l∗	l∗	PROPN
ap-7758	237	26	=	=	PROPN
ap-7758	237	27	0.4	0.4	NUM
ap-7758	237	28	,	,	PUNCT
ap-7758	238	1	ψ	ψ	X
ap-7758	238	2	=	=	NOUN
ap-7758	238	3	0.001	0.001	NUM
ap-7758	238	4	ψ	ψ	NOUN
ap-7758	238	5	=	=	SYM
ap-7758	238	6	0.01	0.01	NUM
ap-7758	238	7	l∗	l∗	NOUN
ap-7758	238	8	=	=	SYM
ap-7758	238	9	0	0	NUM
ap-7758	238	10	l∗	l∗	NOUN
ap-7758	238	11	=	=	NUM
ap-7758	238	12	0.2	0.2	NUM
ap-7758	238	13	l∗	l∗	NOUN
ap-7758	238	14	=	=	SYM
ap-7758	238	15	0	0	NUM
ap-7758	238	16	l∗	l∗	NOUN
ap-7758	238	17	=	=	NOUN
ap-7758	238	18	0.2	0.2	NUM
ap-7758	238	19	radial	radial	ADJ
ap-7758	238	20	azimuthal	azimuthal	NOUN
ap-7758	238	21	radial	radial	ADJ
ap-7758	238	22	azimuthal	azimuthal	NOUN
ap-7758	238	23	w	w	NOUN
ap-7758	238	24	0	0	NUM
ap-7758	238	25	0.3740	0.3740	NUM
ap-7758	238	26	0.4471	0.4471	NUM
ap-7758	238	27	0.3740	0.3740	NUM
ap-7758	238	28	0.4471	0.4471	NUM
ap-7758	238	29	0.5854	0.5854	NUM
ap-7758	238	30	0.6588	0.6588	NUM
ap-7758	238	31	0.3743	0.3743	NUM
ap-7758	238	32	0.4016	0.4016	NUM
ap-7758	238	33	2	2	NUM
ap-7758	238	34	0.4610	0.4610	NUM
ap-7758	238	35	0.5371	0.5371	NUM
ap-7758	238	36	0.4610	0.4610	NUM
ap-7758	238	37	0.5371	0.5371	NUM
ap-7758	238	38	0.6946	0.6946	NUM
ap-7758	238	39	0.7713	0.7713	NUM
ap-7758	238	40	0.6678	0.6678	NUM
ap-7758	238	41	0.7378	0.7378	NUM
ap-7758	238	42	4	4	NUM
ap-7758	238	43	0.7128	0.7128	NUM
ap-7758	238	44	0.7980	0.7980	NUM
ap-7758	238	45	0.7128	0.7128	NUM
ap-7758	238	46	0.7980	0.7980	NUM
ap-7758	238	47	0.9802	0.9802	NUM
ap-7758	238	48	1.0591	1.0591	NUM
ap-7758	238	49	0.9740	0.9740	NUM
ap-7758	238	50	1.0518	1.0518	NUM
ap-7758	238	51	6	6	NUM
ap-7758	238	52	1.1194	1.1194	NUM
ap-7758	238	53	1.2200	1.2200	NUM
ap-7758	238	54	1.1194	1.1194	NUM
ap-7758	238	55	1.2200	1.2200	NUM
ap-7758	238	56	1.4230	1.4230	NUM
ap-7758	238	57	1.5033	1.5033	NUM
ap-7758	238	58	1.4201	1.4201	NUM
ap-7758	238	59	1.5000	1.5000	NUM
ap-7758	238	60	t	t	NOUN
ap-7758	238	61	0	0	NUM
ap-7758	238	62	0.1496	0.1496	NUM
ap-7758	238	63	0.1788	0.1788	NUM
ap-7758	238	64	0.1496	0.1496	NUM
ap-7758	238	65	0.1788	0.1788	NUM
ap-7758	238	66	0.2341	0.2341	NUM
ap-7758	238	67	0.2635	0.2635	NUM
ap-7758	238	68	0.1497	0.1497	NUM
ap-7758	238	69	0.1606	0.1606	NUM
ap-7758	238	70	2	2	NUM
ap-7758	238	71	0.1844	0.1844	NUM
ap-7758	238	72	0.2148	0.2148	NUM
ap-7758	238	73	0.1844	0.1844	NUM
ap-7758	238	74	0.2148	0.2148	NUM
ap-7758	238	75	0.2778	0.2778	NUM
ap-7758	238	76	0.3085	0.3085	NUM
ap-7758	238	77	0.2671	0.2671	NUM
ap-7758	238	78	0.2951	0.2951	NUM
ap-7758	238	79	4	4	NUM
ap-7758	238	80	0.2851	0.2851	NUM
ap-7758	238	81	0.3192	0.3192	NUM
ap-7758	238	82	0.2851	0.2851	NUM
ap-7758	238	83	0.3192	0.3192	NUM
ap-7758	238	84	0.3920	0.3920	NUM
ap-7758	238	85	0.4236	0.4236	NUM
ap-7758	238	86	0.3896	0.3896	NUM
ap-7758	238	87	0.4207	0.4207	NUM
ap-7758	238	88	6	6	NUM
ap-7758	238	89	0.4477	0.4477	NUM
ap-7758	238	90	0.4880	0.4880	NUM
ap-7758	238	91	0.4477	0.4477	NUM
ap-7758	238	92	0.4880	0.4880	NUM
ap-7758	238	93	0.5692	0.5692	NUM
ap-7758	238	94	0.6013	0.6013	NUM
ap-7758	238	95	0.5680	0.5680	NUM
ap-7758	238	96	0.6000	0.6000	NUM
ap-7758	238	97	table	table	NOUN
ap-7758	238	98	1	1	NUM
ap-7758	238	99	.	.	PUNCT
ap-7758	238	100	numerical	numerical	ADJ
ap-7758	238	101	comparison	comparison	NOUN
ap-7758	238	102	of	of	ADP
ap-7758	238	103	the	the	DET
ap-7758	238	104	non	non	ADJ
ap-7758	238	105	-	-	ADJ
ap-7758	238	106	dimensional	dimensional	ADJ
ap-7758	238	107	load	load	NOUN
ap-7758	238	108	carrying	carry	VERB
ap-7758	238	109	capacity	capacity	NOUN
ap-7758	238	110	w	w	PROPN
ap-7758	238	111	and	and	CCONJ
ap-7758	238	112	non	non	ADJ
ap-7758	238	113	-	-	ADJ
ap-7758	238	114	dimensional	dimensional	ADJ
ap-7758	238	115	squeeze	squeeze	NOUN
ap-7758	238	116	film	film	NOUN
ap-7758	238	117	time	time	NOUN
ap-7758	238	118	t	t	PROPN
ap-7758	238	119	between	between	ADP
ap-7758	238	120	hanumagowda	hanumagowda	PROPN
ap-7758	238	121	et	et	PROPN
ap-7758	238	122	al	al	PROPN
ap-7758	238	123	.	.	PUNCT
ap-7758	239	1	[	[	X
ap-7758	239	2	28	28	NUM
ap-7758	239	3	]	]	PUNCT
ap-7758	239	4	and	and	CCONJ
ap-7758	239	5	the	the	DET
ap-7758	239	6	present	present	ADJ
ap-7758	239	7	analysis	analysis	NOUN
ap-7758	239	8	with	with	ADP
ap-7758	239	9	h∗	h∗	PROPN
ap-7758	239	10	=	=	PROPN
ap-7758	239	11	0.5	0.5	NUM
ap-7758	239	12	,	,	PUNCT
ap-7758	239	13	β	β	X
ap-7758	239	14	=	=	SYM
ap-7758	239	15	0.5	0.5	NUM
ap-7758	239	16	,	,	PUNCT
ap-7758	239	17	α	α	NOUN
ap-7758	239	18	=	=	SYM
ap-7758	239	19	0.4	0.4	NUM
ap-7758	239	20	,	,	PUNCT
ap-7758	239	21	m	m	VERB
ap-7758	239	22	=	=	NOUN
ap-7758	239	23	0.6	0.6	NUM
ap-7758	239	24	,	,	PUNCT
ap-7758	239	25	δ∗	δ∗	X
ap-7758	239	26	=	=	NOUN
ap-7758	239	27	0.01	0.01	NUM
ap-7758	239	28	,	,	PUNCT
ap-7758	239	29	φ	φ	NOUN
ap-7758	239	30	=	=	NUM
ap-7758	239	31	0.2	0.2	NUM
ap-7758	239	32	as	as	SCONJ
ap-7758	239	33	fixed	fix	VERB
ap-7758	239	34	.	.	PUNCT
ap-7758	240	1	acknowledgements	acknowledgement	NOUN
ap-7758	240	2	authors	author	NOUN
ap-7758	240	3	acknowledge	acknowledge	VERB
ap-7758	240	4	the	the	DET
ap-7758	240	5	support	support	NOUN
ap-7758	240	6	from	from	ADP
ap-7758	240	7	reva	reva	PROPN
ap-7758	240	8	university	university	PROPN
ap-7758	240	9	for	for	ADP
ap-7758	240	10	the	the	DET
ap-7758	240	11	facilities	facility	NOUN
ap-7758	240	12	provided	provide	VERB
ap-7758	240	13	to	to	PART
ap-7758	240	14	carry	carry	VERB
ap-7758	240	15	out	out	ADP
ap-7758	240	16	the	the	DET
ap-7758	240	17	research	research	NOUN
ap-7758	240	18	.	.	PUNCT
ap-7758	241	1	the	the	DET
ap-7758	241	2	authors	author	NOUN
ap-7758	241	3	wish	wish	VERB
ap-7758	241	4	to	to	PART
ap-7758	241	5	express	express	VERB
ap-7758	241	6	their	their	PRON
ap-7758	241	7	deep	deep	ADJ
ap-7758	241	8	gratitude	gratitude	NOUN
ap-7758	241	9	to	to	ADP
ap-7758	241	10	the	the	DET
ap-7758	241	11	reviewers	reviewer	NOUN
ap-7758	241	12	of	of	ADP
ap-7758	241	13	the	the	DET
ap-7758	241	14	original	original	ADJ
ap-7758	241	15	manuscript	manuscript	NOUN
ap-7758	241	16	for	for	ADP
ap-7758	241	17	their	their	PRON
ap-7758	241	18	kind	kind	ADJ
ap-7758	241	19	suggestions	suggestion	NOUN
ap-7758	241	20	based	base	VERB
ap-7758	241	21	upon	upon	SCONJ
ap-7758	241	22	which	which	PRON
ap-7758	241	23	the	the	DET
ap-7758	241	24	present	present	ADJ
ap-7758	241	25	version	version	NOUN
ap-7758	241	26	of	of	ADP
ap-7758	241	27	the	the	DET
ap-7758	241	28	paper	paper	NOUN
ap-7758	241	29	has	have	AUX
ap-7758	241	30	been	be	AUX
ap-7758	241	31	prepared	prepare	VERB
ap-7758	241	32	.	.	PUNCT
ap-7758	242	1	references	reference	NOUN
ap-7758	242	2	[	[	X
ap-7758	242	3	1	1	X
ap-7758	242	4	]	]	PUNCT
ap-7758	242	5	t.	t.	NOUN
ap-7758	242	6	ariman	ariman	NOUN
ap-7758	242	7	,	,	PUNCT
ap-7758	242	8	m.	m.	NOUN
ap-7758	242	9	a.	a.	PROPN
ap-7758	242	10	turk	turk	PROPN
ap-7758	242	11	,	,	PUNCT
ap-7758	242	12	n.	n.	PROPN
ap-7758	242	13	d.	d.	PROPN
ap-7758	242	14	sylvester	sylvester	PROPN
ap-7758	242	15	.	.	PUNCT
ap-7758	243	1	microcontinuum	microcontinuum	PROPN
ap-7758	243	2	fluid	fluid	ADJ
ap-7758	243	3	mechanics	mechanic	NOUN
ap-7758	243	4	–	–	PUNCT
ap-7758	243	5	a	a	DET
ap-7758	243	6	review	review	NOUN
ap-7758	243	7	.	.	PUNCT
ap-7758	244	1	international	international	ADJ
ap-7758	244	2	journal	journal	PROPN
ap-7758	244	3	of	of	ADP
ap-7758	244	4	engineering	engineering	NOUN
ap-7758	244	5	science	science	NOUN
ap-7758	244	6	11(8):905–930	11(8):905–930	NUM
ap-7758	244	7	,	,	PUNCT
ap-7758	244	8	1973	1973	NUM
ap-7758	244	9	.	.	PUNCT
ap-7758	245	1	https://doi.org/10.1016/0020-7225(73)90038-4	https://doi.org/10.1016/0020-7225(73)90038-4	NOUN
ap-7758	245	2	.	.	PUNCT
ap-7758	246	1	[	[	X
ap-7758	246	2	2	2	X
ap-7758	246	3	]	]	X
ap-7758	246	4	t.	t.	NOUN
ap-7758	246	5	ariman	ariman	NOUN
ap-7758	246	6	,	,	PUNCT
ap-7758	246	7	m.	m.	NOUN
ap-7758	246	8	a.	a.	PROPN
ap-7758	246	9	turk	turk	PROPN
ap-7758	246	10	,	,	PUNCT
ap-7758	246	11	n.	n.	PROPN
ap-7758	246	12	d.	d.	PROPN
ap-7758	246	13	sylvester	sylvester	PROPN
ap-7758	246	14	.	.	PUNCT
ap-7758	247	1	applications	application	NOUN
ap-7758	247	2	of	of	ADP
ap-7758	247	3	microcontinuum	microcontinuum	PROPN
ap-7758	247	4	fluid	fluid	ADJ
ap-7758	247	5	mechanics	mechanic	NOUN
ap-7758	247	6	.	.	PUNCT
ap-7758	248	1	international	international	ADJ
ap-7758	248	2	journal	journal	PROPN
ap-7758	248	3	of	of	ADP
ap-7758	248	4	engineering	engineering	NOUN
ap-7758	248	5	science	science	NOUN
ap-7758	248	6	12(4):273–293	12(4):273–293	NUM
ap-7758	248	7	,	,	PUNCT
ap-7758	248	8	1974	1974	NUM
ap-7758	248	9	.	.	PUNCT
ap-7758	249	1	https://doi.org/10.1016/0020-7225(74)90059-7	https://doi.org/10.1016/0020-7225(74)90059-7	NOUN
ap-7758	249	2	.	.	PUNCT
ap-7758	250	1	[	[	X
ap-7758	250	2	3	3	X
ap-7758	250	3	]	]	PUNCT
ap-7758	250	4	v.	v.	PROPN
ap-7758	250	5	k.	k.	PROPN
ap-7758	250	6	stokes	stokes	PROPN
ap-7758	250	7	.	.	PUNCT
ap-7758	251	1	couple	couple	NOUN
ap-7758	251	2	stresses	stress	NOUN
ap-7758	251	3	in	in	ADP
ap-7758	251	4	fluids	fluid	NOUN
ap-7758	251	5	.	.	PUNCT
ap-7758	252	1	the	the	DET
ap-7758	252	2	physics	physics	PROPN
ap-7758	252	3	of	of	ADP
ap-7758	252	4	fluids	fluid	NOUN
ap-7758	252	5	9(9):1709–1715	9(9):1709–1715	PROPN
ap-7758	252	6	,	,	PUNCT
ap-7758	252	7	1966	1966	NUM
ap-7758	252	8	.	.	PUNCT
ap-7758	253	1	https://doi.org/10.1063/1.1761925	https://doi.org/10.1063/1.1761925	PROPN
ap-7758	253	2	.	.	PUNCT
ap-7758	254	1	[	[	X
ap-7758	254	2	4	4	NUM
ap-7758	254	3	]	]	X
ap-7758	254	4	j.-r	j.-r	PROPN
ap-7758	254	5	.	.	PUNCT
ap-7758	255	1	lin	lin	PROPN
ap-7758	255	2	.	.	PUNCT
ap-7758	256	1	squeeze	squeeze	NOUN
ap-7758	256	2	film	film	NOUN
ap-7758	256	3	characteristics	characteristic	NOUN
ap-7758	256	4	between	between	ADP
ap-7758	256	5	a	a	DET
ap-7758	256	6	sphere	sphere	NOUN
ap-7758	256	7	and	and	CCONJ
ap-7758	256	8	a	a	DET
ap-7758	256	9	flat	flat	ADJ
ap-7758	256	10	plate	plate	NOUN
ap-7758	256	11	:	:	PUNCT
ap-7758	256	12	couple	couple	NOUN
ap-7758	256	13	stress	stress	ADJ
ap-7758	256	14	fluid	fluid	NOUN
ap-7758	256	15	model	model	NOUN
ap-7758	256	16	.	.	PUNCT
ap-7758	257	1	computers	computer	NOUN
ap-7758	257	2	&	&	CCONJ
ap-7758	257	3	structures	structure	NOUN
ap-7758	257	4	75(1):73–80	75(1):73–80	NUM
ap-7758	257	5	,	,	PUNCT
ap-7758	257	6	2000	2000	NUM
ap-7758	257	7	.	.	PUNCT
ap-7758	258	1	https://doi.org/10.1016/s0045-7949(99)00080-2	https://doi.org/10.1016/s0045-7949(99)00080-2	PROPN
ap-7758	258	2	.	.	PUNCT
ap-7758	259	1	[	[	X
ap-7758	259	2	5	5	X
ap-7758	259	3	]	]	PUNCT
ap-7758	259	4	b.	b.	PROPN
ap-7758	259	5	kashinath	kashinath	PROPN
ap-7758	259	6	.	.	PUNCT
ap-7758	260	1	squeeze	squeeze	NOUN
ap-7758	260	2	film	film	NOUN
ap-7758	260	3	lubrication	lubrication	NOUN
ap-7758	260	4	between	between	ADP
ap-7758	260	5	parallel	parallel	ADJ
ap-7758	260	6	stepped	step	VERB
ap-7758	260	7	plates	plate	NOUN
ap-7758	260	8	with	with	ADP
ap-7758	260	9	couplestress	couplestress	NOUN
ap-7758	260	10	fluids	fluid	NOUN
ap-7758	260	11	.	.	PUNCT
ap-7758	261	1	international	international	ADJ
ap-7758	261	2	journal	journal	PROPN
ap-7758	261	3	of	of	ADP
ap-7758	261	4	statistika	statistika	NOUN
ap-7758	261	5	and	and	CCONJ
ap-7758	261	6	mathematika	mathematika	NOUN
ap-7758	261	7	3(2):65–69	3(2):65–69	NUM
ap-7758	261	8	,	,	PUNCT
ap-7758	261	9	2012	2012	NUM
ap-7758	261	10	.	.	PUNCT
ap-7758	262	1	[	[	X
ap-7758	262	2	6	6	NUM
ap-7758	262	3	]	]	X
ap-7758	262	4	n.	n.	PROPN
ap-7758	262	5	b.	b.	PROPN
ap-7758	262	6	naduvinamani	naduvinamani	PROPN
ap-7758	262	7	,	,	PUNCT
ap-7758	262	8	a.	a.	NOUN
ap-7758	262	9	siddangouda	siddangouda	PROPN
ap-7758	262	10	.	.	PUNCT
ap-7758	263	1	squeeze	squeeze	NOUN
ap-7758	263	2	film	film	NOUN
ap-7758	263	3	lubrication	lubrication	NOUN
ap-7758	263	4	between	between	ADP
ap-7758	263	5	circular	circular	ADJ
ap-7758	263	6	stepped	step	VERB
ap-7758	263	7	plates	plate	NOUN
ap-7758	263	8	of	of	ADP
ap-7758	263	9	couple	couple	NOUN
ap-7758	263	10	stress	stress	NOUN
ap-7758	263	11	fluids	fluid	NOUN
ap-7758	263	12	.	.	PUNCT
ap-7758	264	1	journal	journal	NOUN
ap-7758	264	2	of	of	ADP
ap-7758	264	3	the	the	DET
ap-7758	264	4	brazilian	brazilian	ADJ
ap-7758	264	5	society	society	NOUN
ap-7758	264	6	of	of	ADP
ap-7758	264	7	mechanical	mechanical	ADJ
ap-7758	264	8	sciences	science	NOUN
ap-7758	264	9	and	and	CCONJ
ap-7758	264	10	engineering	engineering	NOUN
ap-7758	264	11	31(1):21–26	31(1):21–26	NUM
ap-7758	264	12	,	,	PUNCT
ap-7758	264	13	2009	2009	NUM
ap-7758	264	14	.	.	PUNCT
ap-7758	265	1	https://doi.org/10.1590/s1678-58782009000100004	https://doi.org/10.1590/s1678-58782009000100004	PROPN
ap-7758	265	2	.	.	PUNCT
ap-7758	266	1	585	585	NUM
ap-7758	266	2	https://doi.org/10.1016/0020-7225(73)90038-4	https://doi.org/10.1016/0020-7225(73)90038-4	PROPN
ap-7758	266	3	https://doi.org/10.1016/0020-7225(74)90059-7	https://doi.org/10.1016/0020-7225(74)90059-7	NOUN
ap-7758	266	4	https://doi.org/10.1063/1.1761925	https://doi.org/10.1063/1.1761925	VERB
ap-7758	266	5	https://doi.org/10.1016/s0045-7949(99)00080-2	https://doi.org/10.1016/s0045-7949(99)00080-2	PROPN
ap-7758	266	6	https://doi.org/10.1590/s1678-58782009000100004	https://doi.org/10.1590/s1678-58782009000100004	PROPN
ap-7758	266	7	salma	salma	PROPN
ap-7758	266	8	alla	alla	PUNCT
ap-7758	266	9	baksh	baksh	PROPN
ap-7758	266	10	,	,	PUNCT
ap-7758	266	11	hanumagowda	hanumagowda	PROPN
ap-7758	266	12	bannihalli	bannihalli	PROPN
ap-7758	266	13	naganagowda	naganagowda	PROPN
ap-7758	266	14	acta	acta	PROPN
ap-7758	266	15	polytechnica	polytechnica	PROPN
ap-7758	267	1	[	[	X
ap-7758	267	2	7	7	X
ap-7758	267	3	]	]	X
ap-7758	267	4	w.	w.	PROPN
ap-7758	267	5	t.	t.	PROPN
ap-7758	267	6	snyder	snyder	PROPN
ap-7758	267	7	.	.	PUNCT
ap-7758	268	1	the	the	DET
ap-7758	268	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
ap-7758	268	3	slider	slider	NOUN
ap-7758	268	4	bearing	bearing	NOUN
ap-7758	268	5	.	.	PUNCT
ap-7758	269	1	journal	journal	NOUN
ap-7758	269	2	of	of	ADP
ap-7758	269	3	basic	basic	ADJ
ap-7758	269	4	engineering	engineering	NOUN
ap-7758	269	5	84(1):197–202	84(1):197–202	PROPN
ap-7758	269	6	,	,	PUNCT
ap-7758	269	7	1962	1962	NUM
ap-7758	269	8	.	.	PUNCT
ap-7758	270	1	https://doi.org/10.1115/1.3657252	https://doi.org/10.1115/1.3657252	NOUN
ap-7758	270	2	.	.	PUNCT
ap-7758	271	1	[	[	X
ap-7758	271	2	8	8	X
ap-7758	271	3	]	]	X
ap-7758	271	4	w.	w.	PROPN
ap-7758	271	5	f.	f.	PROPN
ap-7758	271	6	hughes	hughes	PROPN
ap-7758	271	7	.	.	PUNCT
ap-7758	272	1	the	the	DET
ap-7758	272	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
ap-7758	272	3	inclined	inclined	ADJ
ap-7758	272	4	slider	slider	NOUN
ap-7758	272	5	bearing	bear	VERB
ap-7758	272	6	with	with	ADP
ap-7758	272	7	a	a	DET
ap-7758	272	8	transverse	transverse	NOUN
ap-7758	272	9	magnetic	magnetic	ADJ
ap-7758	272	10	field	field	NOUN
ap-7758	272	11	.	.	PUNCT
ap-7758	273	1	wear	wear	VERB
ap-7758	273	2	6(4):315–324	6(4):315–324	NUM
ap-7758	273	3	,	,	PUNCT
ap-7758	273	4	1963	1963	NUM
ap-7758	273	5	.	.	PUNCT
ap-7758	274	1	https://doi.org/10.1016/0043-1648(63)90164-9	https://doi.org/10.1016/0043-1648(63)90164-9	ADJ
ap-7758	274	2	.	.	PUNCT
ap-7758	275	1	[	[	X
ap-7758	275	2	9	9	NUM
ap-7758	275	3	]	]	PUNCT
ap-7758	275	4	w.	w.	PROPN
ap-7758	275	5	f.	f.	PROPN
ap-7758	275	6	hughes	hughes	PROPN
ap-7758	275	7	.	.	PUNCT
ap-7758	276	1	the	the	DET
ap-7758	276	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
ap-7758	276	3	finite	finite	ADJ
ap-7758	276	4	step	step	NOUN
ap-7758	276	5	slider	slider	NOUN
ap-7758	276	6	bearing	bearing	NOUN
ap-7758	276	7	.	.	PUNCT
ap-7758	277	1	journal	journal	NOUN
ap-7758	277	2	of	of	ADP
ap-7758	277	3	basic	basic	ADJ
ap-7758	277	4	engineering	engineering	NOUN
ap-7758	277	5	85(1):129–135	85(1):129–135	NOUN
ap-7758	277	6	,	,	PUNCT
ap-7758	277	7	1963	1963	NUM
ap-7758	277	8	.	.	PUNCT
ap-7758	278	1	https://doi.org/10.1115/1.3656508	https://doi.org/10.1115/1.3656508	X
ap-7758	278	2	.	.	PUNCT
ap-7758	279	1	[	[	X
ap-7758	279	2	10	10	NUM
ap-7758	279	3	]	]	X
ap-7758	279	4	d.	d.	PROPN
ap-7758	279	5	c.	c.	PROPN
ap-7758	279	6	kuzma	kuzma	PROPN
ap-7758	279	7	.	.	PUNCT
ap-7758	280	1	the	the	DET
ap-7758	280	2	magnetohydrodynamic	magnetohydrodynamic	ADJ
ap-7758	280	3	parallel	parallel	ADJ
ap-7758	280	4	plate	plate	NOUN
ap-7758	280	5	slider	slider	NOUN
ap-7758	280	6	bearing	bearing	NOUN
ap-7758	280	7	.	.	PUNCT
ap-7758	281	1	journal	journal	NOUN
ap-7758	281	2	of	of	ADP
ap-7758	281	3	basic	basic	ADJ
ap-7758	281	4	engineering	engineering	NOUN
ap-7758	281	5	87(3):778–780	87(3):778–780	PROPN
ap-7758	281	6	,	,	PUNCT
ap-7758	281	7	1965	1965	NUM
ap-7758	281	8	.	.	PUNCT
ap-7758	282	1	https://doi.org/10.1115/1.3650685	https://doi.org/10.1115/1.3650685	PROPN
ap-7758	282	2	.	.	PUNCT
ap-7758	283	1	[	[	X
ap-7758	283	2	11	11	NUM
ap-7758	283	3	]	]	X
ap-7758	283	4	j.-r	j.-r	PROPN
ap-7758	283	5	.	.	PUNCT
ap-7758	284	1	lin	lin	PROPN
ap-7758	284	2	.	.	PUNCT
ap-7758	285	1	magneto	magneto	VERB
ap-7758	285	2	-	-	PUNCT
ap-7758	285	3	hydrodynamic	hydrodynamic	ADJ
ap-7758	285	4	squeeze	squeeze	NOUN
ap-7758	285	5	film	film	NOUN
ap-7758	285	6	characteristics	characteristic	NOUN
ap-7758	285	7	between	between	ADP
ap-7758	285	8	annular	annular	ADJ
ap-7758	285	9	disks	disk	NOUN
ap-7758	285	10	.	.	PUNCT
ap-7758	286	1	industrial	industrial	ADJ
ap-7758	286	2	lubrication	lubrication	NOUN
ap-7758	286	3	and	and	CCONJ
ap-7758	286	4	tribology	tribology	NOUN
ap-7758	286	5	53(2):66–71	53(2):66–71	NUM
ap-7758	286	6	,	,	PUNCT
ap-7758	286	7	2001	2001	NUM
ap-7758	286	8	.	.	PUNCT
ap-7758	287	1	https://doi.org/10.1108/00368790110384028	https://doi.org/10.1108/00368790110384028	NOUN
ap-7758	287	2	.	.	PUNCT
ap-7758	288	1	[	[	X
ap-7758	288	2	12	12	NUM
ap-7758	288	3	]	]	PUNCT
ap-7758	288	4	j.	j.	PROPN
ap-7758	288	5	r.	r.	PROPN
ap-7758	288	6	lin	lin	PROPN
ap-7758	288	7	,	,	PUNCT
ap-7758	288	8	r.	r.	PROPN
ap-7758	288	9	f.	f.	PROPN
ap-7758	288	10	lu	lu	PROPN
ap-7758	288	11	,	,	PUNCT
ap-7758	288	12	w.	w.	PROPN
ap-7758	288	13	h.	h.	PROPN
ap-7758	288	14	liao	liao	PROPN
ap-7758	288	15	.	.	PUNCT
ap-7758	289	1	analysis	analysis	NOUN
ap-7758	289	2	of	of	ADP
ap-7758	289	3	magnetohydrodynamic	magnetohydrodynamic	ADJ
ap-7758	289	4	squeeze	squeeze	NOUN
ap-7758	289	5	film	film	NOUN
ap-7758	289	6	characteristics	characteristic	NOUN
ap-7758	289	7	between	between	ADP
ap-7758	289	8	curved	curved	ADJ
ap-7758	289	9	annular	annular	ADJ
ap-7758	289	10	plates	plate	NOUN
ap-7758	289	11	.	.	PUNCT
ap-7758	290	1	industrial	industrial	ADJ
ap-7758	290	2	lubrication	lubrication	NOUN
ap-7758	290	3	and	and	CCONJ
ap-7758	290	4	tribology	tribology	NOUN
ap-7758	290	5	56(5):300–305	56(5):300–305	PROPN
ap-7758	290	6	,	,	PUNCT
ap-7758	290	7	2004	2004	NUM
ap-7758	290	8	.	.	PUNCT
ap-7758	291	1	https://doi.org/10.1108/00368790410550714	https://doi.org/10.1108/00368790410550714	NOUN
ap-7758	291	2	.	.	PUNCT
ap-7758	292	1	[	[	X
ap-7758	292	2	13	13	NUM
ap-7758	292	3	]	]	PUNCT
ap-7758	292	4	h.	h.	PROPN
ap-7758	292	5	christensen	christensen	PROPN
ap-7758	292	6	.	.	PUNCT
ap-7758	293	1	stochastic	stochastic	ADJ
ap-7758	293	2	models	model	NOUN
ap-7758	293	3	for	for	ADP
ap-7758	293	4	hydrodynamic	hydrodynamic	ADJ
ap-7758	293	5	lubrication	lubrication	NOUN
ap-7758	293	6	of	of	ADP
ap-7758	293	7	rough	rough	ADJ
ap-7758	293	8	surfaces	surface	NOUN
ap-7758	293	9	.	.	PUNCT
ap-7758	294	1	proceedings	proceeding	NOUN
ap-7758	294	2	of	of	ADP
ap-7758	294	3	the	the	DET
ap-7758	294	4	institution	institution	NOUN
ap-7758	294	5	of	of	ADP
ap-7758	294	6	mechanical	mechanical	ADJ
ap-7758	294	7	engineers	engineer	NOUN
ap-7758	294	8	184(1):1013–1026	184(1):1013–1026	PROPN
ap-7758	294	9	,	,	PUNCT
ap-7758	294	10	1969	1969	NUM
ap-7758	294	11	.	.	PUNCT
ap-7758	295	1	https://doi.org/10.1243/pime_proc_1969_184_074_02	https://doi.org/10.1243/pime_proc_1969_184_074_02	NOUN
ap-7758	295	2	.	.	PUNCT
ap-7758	296	1	[	[	X
ap-7758	296	2	14	14	NUM
ap-7758	296	3	]	]	PUNCT
ap-7758	296	4	m.	m.	NOUN
ap-7758	296	5	v.	v.	ADP
ap-7758	296	6	bhat	bhat	PROPN
ap-7758	296	7	,	,	PUNCT
ap-7758	296	8	g.	g.	PROPN
ap-7758	296	9	m.	m.	PROPN
ap-7758	296	10	deberi	deberi	PROPN
ap-7758	296	11	.	.	PUNCT
ap-7758	297	1	squeeze	squeeze	NOUN
ap-7758	297	2	film	film	NOUN
ap-7758	297	3	behaviour	behaviour	NOUN
ap-7758	297	4	in	in	ADP
ap-7758	297	5	porous	porous	ADJ
ap-7758	297	6	annular	annular	ADJ
ap-7758	297	7	discs	disc	NOUN
ap-7758	297	8	lubricated	lubricate	VERB
ap-7758	297	9	with	with	ADP
ap-7758	297	10	magnetic	magnetic	ADJ
ap-7758	297	11	fluid	fluid	NOUN
ap-7758	297	12	.	.	PUNCT
ap-7758	298	1	wear	wear	VERB
ap-7758	298	2	151(1):123–128	151(1):123–128	NUM
ap-7758	298	3	,	,	PUNCT
ap-7758	298	4	1991	1991	NUM
ap-7758	298	5	.	.	PUNCT
ap-7758	299	1	https://doi.org/10.1016/0043-1648(91)90352-u	https://doi.org/10.1016/0043-1648(91)90352-u	NOUN
ap-7758	299	2	.	.	PUNCT
ap-7758	300	1	[	[	X
ap-7758	300	2	15	15	NUM
ap-7758	300	3	]	]	X
ap-7758	300	4	n.	n.	PROPN
ap-7758	300	5	b.	b.	PROPN
ap-7758	300	6	naduvinamani	naduvinamani	PROPN
ap-7758	300	7	,	,	PUNCT
ap-7758	300	8	b.	b.	PROPN
ap-7758	300	9	n.	n.	PROPN
ap-7758	300	10	hanumagowda	hanumagowda	PROPN
ap-7758	300	11	,	,	PUNCT
ap-7758	300	12	s.	s.	PROPN
ap-7758	300	13	tasneem	tasneem	PROPN
ap-7758	300	14	fathima	fathima	PROPN
ap-7758	300	15	.	.	PUNCT
ap-7758	300	16	combined	combine	VERB
ap-7758	300	17	effects	effect	NOUN
ap-7758	300	18	of	of	ADP
ap-7758	300	19	mhd	mhd	NOUN
ap-7758	300	20	and	and	CCONJ
ap-7758	300	21	surface	surface	NOUN
ap-7758	300	22	roughness	roughness	NOUN
ap-7758	300	23	on	on	ADP
ap-7758	300	24	couple	couple	NOUN
ap-7758	300	25	-	-	PUNCT
ap-7758	300	26	stress	stress	NOUN
ap-7758	300	27	squeeze	squeeze	NOUN
ap-7758	300	28	film	film	NOUN
ap-7758	300	29	lubrication	lubrication	NOUN
ap-7758	300	30	between	between	ADP
ap-7758	300	31	porous	porous	ADJ
ap-7758	300	32	circular	circular	ADJ
ap-7758	300	33	stepped	step	VERB
ap-7758	300	34	plates	plate	NOUN
ap-7758	300	35	.	.	PUNCT
ap-7758	301	1	tribology	tribology	PROPN
ap-7758	301	2	international	international	PROPN
ap-7758	301	3	56:19–29	56:19–29	NUM
ap-7758	301	4	,	,	PUNCT
ap-7758	301	5	2012	2012	NUM
ap-7758	301	6	.	.	PUNCT
ap-7758	302	1	https://doi.org/10.1016/j.triboint.2012.06.012	https://doi.org/10.1016/j.triboint.2012.06.012	NOUN
ap-7758	302	2	.	.	PUNCT
ap-7758	303	1	[	[	X
ap-7758	303	2	16	16	NUM
ap-7758	303	3	]	]	PUNCT
ap-7758	303	4	s.	s.	PROPN
ap-7758	303	5	t.	t.	PROPN
ap-7758	303	6	fathima	fathima	PROPN
ap-7758	303	7	,	,	PUNCT
ap-7758	303	8	n.	n.	PROPN
ap-7758	303	9	b.	b.	PROPN
ap-7758	303	10	naduvinamani	naduvinamani	PROPN
ap-7758	303	11	,	,	PUNCT
ap-7758	303	12	j.	j.	PROPN
ap-7758	303	13	s.	s.	PROPN
ap-7758	303	14	kumar	kumar	PROPN
ap-7758	303	15	,	,	PUNCT
ap-7758	303	16	b.	b.	PROPN
ap-7758	303	17	n.	n.	PROPN
ap-7758	303	18	hanumagowda	hanumagowda	PROPN
ap-7758	303	19	.	.	PUNCT
ap-7758	303	20	derivation	derivation	NOUN
ap-7758	303	21	of	of	ADP
ap-7758	303	22	modified	modify	VERB
ap-7758	303	23	mhd	mhd	NOUN
ap-7758	303	24	-	-	PUNCT
ap-7758	303	25	stochastic	stochastic	NOUN
ap-7758	303	26	reynolds	reynold	NOUN
ap-7758	303	27	equation	equation	NOUN
ap-7758	303	28	with	with	ADP
ap-7758	303	29	conducting	conduct	VERB
ap-7758	303	30	couple	couple	NOUN
ap-7758	303	31	stress	stress	NOUN
ap-7758	303	32	fluid	fluid	NOUN
ap-7758	303	33	on	on	ADP
ap-7758	303	34	the	the	DET
ap-7758	303	35	squeeze	squeeze	NOUN
ap-7758	303	36	film	film	NOUN
ap-7758	303	37	lubrication	lubrication	NOUN
ap-7758	303	38	of	of	ADP
ap-7758	303	39	porous	porous	ADJ
ap-7758	303	40	rough	rough	ADJ
ap-7758	303	41	elliptical	elliptical	ADJ
ap-7758	303	42	plates	plate	NOUN
ap-7758	303	43	.	.	PUNCT
ap-7758	304	1	international	international	ADJ
ap-7758	304	2	journal	journal	PROPN
ap-7758	304	3	of	of	ADP
ap-7758	304	4	mathematical	mathematical	ADJ
ap-7758	304	5	archive	archive	NOUN
ap-7758	304	6	5(8):135–145	5(8):135–145	NOUN
ap-7758	304	7	,	,	PUNCT
ap-7758	304	8	2014	2014	NUM
ap-7758	304	9	.	.	PUNCT
ap-7758	305	1	[	[	X
ap-7758	305	2	17	17	NUM
ap-7758	305	3	]	]	X
ap-7758	305	4	b.	b.	PROPN
ap-7758	305	5	n.	n.	PROPN
ap-7758	305	6	hanumagowda	hanumagowda	PROPN
ap-7758	305	7	,	,	PUNCT
ap-7758	305	8	b.	b.	PROPN
ap-7758	305	9	t.	t.	PROPN
ap-7758	305	10	raju	raju	PROPN
ap-7758	305	11	,	,	PUNCT
ap-7758	305	12	j.	j.	PROPN
ap-7758	305	13	santhosh	santhosh	PROPN
ap-7758	305	14	kumar	kumar	PROPN
ap-7758	305	15	,	,	PUNCT
ap-7758	305	16	k.	k.	PROPN
ap-7758	305	17	r.	r.	PROPN
ap-7758	305	18	vasanth	vasanth	PROPN
ap-7758	305	19	.	.	PUNCT
ap-7758	306	1	combined	combined	ADJ
ap-7758	306	2	effect	effect	NOUN
ap-7758	306	3	of	of	ADP
ap-7758	306	4	surface	surface	NOUN
ap-7758	306	5	roughness	roughness	NOUN
ap-7758	306	6	and	and	CCONJ
ap-7758	306	7	pressure	pressure	NOUN
ap-7758	306	8	-	-	PUNCT
ap-7758	306	9	dependent	dependent	ADJ
ap-7758	306	10	viscosity	viscosity	NOUN
ap-7758	306	11	over	over	ADP
ap-7758	306	12	couple	couple	NOUN
ap-7758	306	13	-	-	PUNCT
ap-7758	306	14	stress	stress	NOUN
ap-7758	306	15	squeeze	squeeze	NOUN
ap-7758	306	16	film	film	NOUN
ap-7758	306	17	lubrication	lubrication	NOUN
ap-7758	306	18	between	between	ADP
ap-7758	306	19	circular	circular	ADJ
ap-7758	306	20	stepped	step	VERB
ap-7758	306	21	plates	plate	NOUN
ap-7758	306	22	.	.	PUNCT
ap-7758	307	1	proceedings	proceeding	NOUN
ap-7758	307	2	of	of	ADP
ap-7758	307	3	the	the	DET
ap-7758	307	4	institution	institution	NOUN
ap-7758	307	5	of	of	ADP
ap-7758	307	6	mechanical	mechanical	ADJ
ap-7758	307	7	engineers	engineer	NOUN
ap-7758	307	8	,	,	PUNCT
ap-7758	307	9	part	part	NOUN
ap-7758	307	10	j	j	PROPN
ap-7758	307	11	:	:	PUNCT
ap-7758	307	12	journal	journal	PROPN
ap-7758	307	13	of	of	ADP
ap-7758	307	14	engineering	engineering	NOUN
ap-7758	307	15	tribology	tribology	NOUN
ap-7758	307	16	232(5):525–534	232(5):525–534	NUM
ap-7758	307	17	,	,	PUNCT
ap-7758	307	18	2018	2018	NUM
ap-7758	307	19	.	.	PUNCT
ap-7758	308	1	https://doi.org/10.1177/1350650117721432	https://doi.org/10.1177/1350650117721432	X
ap-7758	308	2	.	.	PUNCT
ap-7758	309	1	[	[	X
ap-7758	309	2	18	18	NUM
ap-7758	309	3	]	]	PUNCT
ap-7758	309	4	t.	t.	NOUN
ap-7758	309	5	biradar	biradar	NOUN
ap-7758	309	6	,	,	PUNCT
ap-7758	309	7	b.	b.	PROPN
ap-7758	309	8	n.	n.	PROPN
ap-7758	309	9	hanumagowda	hanumagowda	PROPN
ap-7758	309	10	,	,	PUNCT
ap-7758	309	11	s.	s.	PROPN
ap-7758	309	12	biradar	biradar	PROPN
ap-7758	309	13	,	,	PUNCT
ap-7758	309	14	et	et	PROPN
ap-7758	309	15	al	al	PROPN
ap-7758	309	16	.	.	PROPN
ap-7758	309	17	effect	effect	NOUN
ap-7758	309	18	of	of	ADP
ap-7758	309	19	mhd	mhd	NOUN
ap-7758	309	20	and	and	CCONJ
ap-7758	309	21	couple	couple	NOUN
ap-7758	309	22	stress	stress	NOUN
ap-7758	309	23	on	on	ADP
ap-7758	309	24	squeeze	squeeze	NOUN
ap-7758	309	25	film	film	NOUN
ap-7758	309	26	characteristics	characteristic	NOUN
ap-7758	309	27	between	between	ADP
ap-7758	309	28	porous	porous	ADJ
ap-7758	309	29	curved	curved	ADJ
ap-7758	309	30	annular	annular	ADJ
ap-7758	309	31	circular	circular	ADJ
ap-7758	309	32	plates	plate	NOUN
ap-7758	309	33	.	.	PUNCT
ap-7758	310	1	international	international	ADJ
ap-7758	310	2	journal	journal	PROPN
ap-7758	310	3	of	of	ADP
ap-7758	310	4	mechanical	mechanical	ADJ
ap-7758	310	5	and	and	CCONJ
ap-7758	310	6	production	production	NOUN
ap-7758	310	7	engineering	engineering	NOUN
ap-7758	310	8	research	research	NOUN
ap-7758	310	9	and	and	CCONJ
ap-7758	310	10	development	development	NOUN
ap-7758	310	11	10(3):8535–8546	10(3):8535–8546	NUM
ap-7758	310	12	,	,	PUNCT
ap-7758	310	13	2020	2020	NUM
ap-7758	310	14	.	.	PUNCT
ap-7758	311	1	[	[	X
ap-7758	311	2	19	19	NUM
ap-7758	311	3	]	]	PUNCT
ap-7758	311	4	b.	b.	PROPN
ap-7758	311	5	n.	n.	PROPN
ap-7758	311	6	hanumagowda	hanumagowda	PROPN
ap-7758	311	7	,	,	PUNCT
ap-7758	311	8	a.	a.	PROPN
ap-7758	311	9	salma	salma	PROPN
ap-7758	311	10	,	,	PUNCT
ap-7758	311	11	s.	s.	PROPN
ap-7758	311	12	s.	s.	PROPN
ap-7758	311	13	nair	nair	PROPN
ap-7758	311	14	.	.	PUNCT
ap-7758	312	1	combined	combined	ADJ
ap-7758	312	2	effect	effect	NOUN
ap-7758	312	3	of	of	ADP
ap-7758	312	4	rough	rough	ADJ
ap-7758	312	5	surface	surface	NOUN
ap-7758	312	6	with	with	ADP
ap-7758	312	7	mhd	mhd	NOUN
ap-7758	312	8	on	on	ADP
ap-7758	312	9	porous	porous	ADJ
ap-7758	312	10	conical	conical	NOUN
ap-7758	312	11	bearing	bear	VERB
ap-7758	312	12	with	with	ADP
ap-7758	312	13	conducting	conduct	VERB
ap-7758	312	14	couple	couple	NOUN
ap-7758	312	15	-	-	PUNCT
ap-7758	312	16	stress	stress	NOUN
ap-7758	312	17	fluid	fluid	NOUN
ap-7758	312	18	.	.	PUNCT
ap-7758	313	1	palestine	palestine	PROPN
ap-7758	313	2	journal	journal	PROPN
ap-7758	313	3	of	of	ADP
ap-7758	313	4	mathematics	mathematics	PROPN
ap-7758	313	5	10(1):59–68	10(1):59–68	NUM
ap-7758	313	6	,	,	PUNCT
ap-7758	313	7	2021	2021	NUM
ap-7758	313	8	.	.	PUNCT
ap-7758	314	1	https://doi.org/https://pjm.ppu.edu/vol/828	https://doi.org/https://pjm.ppu.edu/vol/828	PROPN
ap-7758	314	2	.	.	PUNCT
ap-7758	315	1	[	[	X
ap-7758	315	2	20	20	NUM
ap-7758	315	3	]	]	PUNCT
ap-7758	315	4	j.	j.	PROPN
ap-7758	315	5	patel	patel	PROPN
ap-7758	315	6	,	,	PUNCT
ap-7758	315	7	g.	g.	PROPN
ap-7758	315	8	m.	m.	PROPN
ap-7758	315	9	deheri	deheri	PROPN
ap-7758	315	10	.	.	PUNCT
ap-7758	316	1	influence	influence	NOUN
ap-7758	316	2	of	of	ADP
ap-7758	316	3	viscosity	viscosity	NOUN
ap-7758	316	4	variation	variation	NOUN
ap-7758	316	5	on	on	ADP
ap-7758	316	6	ferrofluid	ferrofluid	ADJ
ap-7758	316	7	based	base	VERB
ap-7758	316	8	long	long	ADJ
ap-7758	316	9	bearing	bearing	NOUN
ap-7758	316	10	.	.	PUNCT
ap-7758	317	1	reports	report	NOUN
ap-7758	317	2	in	in	ADP
ap-7758	317	3	mechanical	mechanical	ADJ
ap-7758	317	4	engineering	engineering	NOUN
ap-7758	317	5	3(1):37–45	3(1):37–45	NUM
ap-7758	317	6	,	,	PUNCT
ap-7758	317	7	2021	2021	NUM
ap-7758	317	8	.	.	PUNCT
ap-7758	318	1	https://doi.org/10.31181/rme200103037j	https://doi.org/10.31181/rme200103037j	INTJ
ap-7758	318	2	.	.	PUNCT
ap-7758	319	1	[	[	X
ap-7758	319	2	21	21	NUM
ap-7758	319	3	]	]	PUNCT
ap-7758	319	4	m.	m.	NOUN
ap-7758	319	5	sankar	sankar	NOUN
ap-7758	319	6	,	,	PUNCT
ap-7758	319	7	s.	s.	PROPN
ap-7758	319	8	kemparaju	kemparaju	PROPN
ap-7758	319	9	,	,	PUNCT
ap-7758	319	10	b.	b.	PROPN
ap-7758	319	11	m.	m.	PROPN
ap-7758	319	12	r.	r.	PROPN
ap-7758	319	13	prasanna	prasanna	PROPN
ap-7758	319	14	,	,	PUNCT
ap-7758	319	15	s.	s.	PROPN
ap-7758	319	16	eswaramoorthi	eswaramoorthi	PROPN
ap-7758	319	17	.	.	PUNCT
ap-7758	320	1	buoyant	buoyant	ADJ
ap-7758	320	2	convection	convection	NOUN
ap-7758	320	3	in	in	ADP
ap-7758	320	4	porous	porous	ADJ
ap-7758	320	5	annulus	annulus	NOUN
ap-7758	320	6	with	with	ADP
ap-7758	320	7	discrete	discrete	ADJ
ap-7758	320	8	sources	source	NOUN
ap-7758	320	9	-	-	PUNCT
ap-7758	320	10	sink	sink	NOUN
ap-7758	320	11	pairs	pair	NOUN
ap-7758	320	12	and	and	CCONJ
ap-7758	320	13	internal	internal	ADJ
ap-7758	320	14	heat	heat	NOUN
ap-7758	320	15	generation	generation	NOUN
ap-7758	320	16	.	.	PUNCT
ap-7758	321	1	journal	journal	PROPN
ap-7758	321	2	of	of	ADP
ap-7758	321	3	physics	physics	PROPN
ap-7758	321	4	:	:	PUNCT
ap-7758	321	5	conference	conference	NOUN
ap-7758	321	6	series	series	PROPN
ap-7758	321	7	1139(1):012026	1139(1):012026	PROPN
ap-7758	321	8	,	,	PUNCT
ap-7758	321	9	2018	2018	NUM
ap-7758	321	10	.	.	PUNCT
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ap-7758	322	2	.	.	PUNCT
ap-7758	323	1	[	[	X
ap-7758	323	2	22	22	NUM
ap-7758	323	3	]	]	X
ap-7758	323	4	s.	s.	PROPN
ap-7758	323	5	kiran	kiran	PROPN
ap-7758	323	6	,	,	PUNCT
ap-7758	323	7	m.	m.	NOUN
ap-7758	323	8	sankar	sankar	NOUN
ap-7758	323	9	,	,	PUNCT
ap-7758	323	10	y.	y.	PROPN
ap-7758	323	11	h.	h.	PROPN
ap-7758	323	12	gangadharaiah	gangadharaiah	PROPN
ap-7758	323	13	,	,	PUNCT
ap-7758	323	14	b.	b.	PROPN
ap-7758	324	1	v.	v.	ADP
ap-7758	324	2	dhananjayamurthy	dhananjayamurthy	ADJ
ap-7758	324	3	.	.	PUNCT
ap-7758	324	4	natural	natural	ADJ
ap-7758	324	5	convection	convection	NOUN
ap-7758	324	6	in	in	ADP
ap-7758	324	7	a	a	DET
ap-7758	324	8	linearly	linearly	ADV
ap-7758	324	9	heated	heated	ADJ
ap-7758	324	10	vertical	vertical	ADJ
ap-7758	324	11	porous	porous	ADJ
ap-7758	324	12	annulus	annulus	NOUN
ap-7758	324	13	under	under	ADP
ap-7758	324	14	the	the	DET
ap-7758	324	15	effect	effect	NOUN
ap-7758	324	16	of	of	ADP
ap-7758	324	17	magnetic	magnetic	ADJ
ap-7758	324	18	field	field	NOUN
ap-7758	324	19	.	.	PUNCT
ap-7758	325	1	in	in	ADP
ap-7758	325	2	g.	g.	PROPN
ap-7758	325	3	manik	manik	PROPN
ap-7758	325	4	,	,	PUNCT
ap-7758	325	5	s.	s.	PROPN
ap-7758	325	6	kalia	kalia	PROPN
ap-7758	325	7	,	,	PUNCT
ap-7758	325	8	s.	s.	PROPN
ap-7758	325	9	k.	k.	PROPN
ap-7758	325	10	sahoo	sahoo	PROPN
ap-7758	325	11	,	,	PUNCT
ap-7758	325	12	et	et	PROPN
ap-7758	325	13	al	al	PROPN
ap-7758	325	14	.	.	PUNCT
ap-7758	326	1	(	(	PUNCT
ap-7758	326	2	eds	ed	NOUN
ap-7758	326	3	.	.	PUNCT
ap-7758	326	4	)	)	PUNCT
ap-7758	327	1	,	,	PUNCT
ap-7758	327	2	advances	advance	VERB
ap-7758	327	3	in	in	ADP
ap-7758	327	4	mechanical	mechanical	ADJ
ap-7758	327	5	engineering	engineering	NOUN
ap-7758	327	6	,	,	PUNCT
ap-7758	327	7	pp	pp	ADJ
ap-7758	327	8	.	.	PUNCT
ap-7758	328	1	537–546	537–546	NUM
ap-7758	328	2	.	.	PUNCT
ap-7758	328	3	springer	springer	PROPN
ap-7758	328	4	singapore	singapore	PROPN
ap-7758	328	5	,	,	PUNCT
ap-7758	328	6	singapore	singapore	PROPN
ap-7758	328	7	,	,	PUNCT
ap-7758	328	8	2021	2021	NUM
ap-7758	328	9	.	.	PUNCT
ap-7758	329	1	isbn	isbn	ADJ
ap-7758	329	2	978	978	NUM
ap-7758	329	3	-	-	SYM
ap-7758	329	4	981	981	NUM
ap-7758	329	5	-	-	PUNCT
ap-7758	329	6	16	16	NUM
ap-7758	329	7	-	-	PUNCT
ap-7758	329	8	0942	0942	NUM
ap-7758	329	9	-	-	SYM
ap-7758	329	10	8	8	NUM
ap-7758	329	11	,	,	PUNCT
ap-7758	329	12	https://doi.org/10.1007/978-981-16-0942-8_50	https://doi.org/10.1007/978-981-16-0942-8_50	NUM
ap-7758	329	13	.	.	PUNCT
ap-7758	330	1	[	[	X
ap-7758	330	2	23	23	NUM
ap-7758	330	3	]	]	PUNCT
ap-7758	330	4	m.	m.	PROPN
ap-7758	330	5	e.	e.	PROPN
ap-7758	330	6	shimpi	shimpi	PROPN
ap-7758	330	7	,	,	PUNCT
ap-7758	330	8	g.	g.	PROPN
ap-7758	330	9	m.	m.	PROPN
ap-7758	330	10	deheri	deheri	PROPN
ap-7758	330	11	.	.	PUNCT
ap-7758	331	1	magnetic	magnetic	ADJ
ap-7758	331	2	fluid	fluid	NOUN
ap-7758	331	3	based	base	VERB
ap-7758	331	4	squeeze	squeeze	NOUN
ap-7758	331	5	film	film	NOUN
ap-7758	331	6	in	in	ADP
ap-7758	331	7	rough	rough	ADJ
ap-7758	331	8	rotating	rotate	VERB
ap-7758	331	9	curved	curve	VERB
ap-7758	331	10	porous	porous	ADJ
ap-7758	331	11	annular	annular	ADJ
ap-7758	331	12	plates	plate	NOUN
ap-7758	331	13	:	:	PUNCT
ap-7758	331	14	deformation	deformation	NOUN
ap-7758	331	15	effect	effect	NOUN
ap-7758	331	16	.	.	PUNCT
ap-7758	332	1	international	international	ADJ
ap-7758	332	2	journal	journal	PROPN
ap-7758	332	3	of	of	ADP
ap-7758	332	4	mathematical	mathematical	ADJ
ap-7758	332	5	and	and	CCONJ
ap-7758	332	6	computational	computational	ADJ
ap-7758	332	7	sciences	science	NOUN
ap-7758	332	8	7(8):1370–1380	7(8):1370–1380	PROPN
ap-7758	332	9	,	,	PUNCT
ap-7758	332	10	2013	2013	NUM
ap-7758	332	11	.	.	PUNCT
ap-7758	333	1	https://doi.org/10.5281/zenodo.1088604	https://doi.org/10.5281/zenodo.1088604	VERB
ap-7758	333	2	.	.	PUNCT
ap-7758	334	1	[	[	X
ap-7758	334	2	24	24	NUM
ap-7758	334	3	]	]	X
ap-7758	334	4	n.	n.	PROPN
ap-7758	334	5	c.	c.	PROPN
ap-7758	334	6	patel	patel	PROPN
ap-7758	334	7	,	,	PUNCT
ap-7758	334	8	j.	j.	PROPN
ap-7758	334	9	r.	r.	PROPN
ap-7758	334	10	patel	patel	PROPN
ap-7758	334	11	.	.	PUNCT
ap-7758	335	1	magnetic	magnetic	ADJ
ap-7758	335	2	fluid	fluid	NOUN
ap-7758	335	3	-	-	PUNCT
ap-7758	335	4	based	base	VERB
ap-7758	335	5	squeeze	squeeze	NOUN
ap-7758	335	6	film	film	NOUN
ap-7758	335	7	between	between	ADP
ap-7758	335	8	curved	curved	ADJ
ap-7758	335	9	porous	porous	ADJ
ap-7758	335	10	annular	annular	ADJ
ap-7758	335	11	plates	plate	NOUN
ap-7758	335	12	considering	consider	VERB
ap-7758	335	13	the	the	DET
ap-7758	335	14	rotation	rotation	NOUN
ap-7758	335	15	of	of	ADP
ap-7758	335	16	magnetic	magnetic	ADJ
ap-7758	335	17	particles	particle	NOUN
ap-7758	335	18	and	and	CCONJ
ap-7758	335	19	slip	slip	VERB
ap-7758	335	20	velocity	velocity	NOUN
ap-7758	335	21	.	.	PUNCT
ap-7758	336	1	journal	journal	NOUN
ap-7758	336	2	of	of	ADP
ap-7758	336	3	the	the	DET
ap-7758	336	4	serbian	serbian	ADJ
ap-7758	336	5	society	society	NOUN
ap-7758	336	6	for	for	ADP
ap-7758	336	7	computational	computational	ADJ
ap-7758	336	8	mechanics	mechanic	NOUN
ap-7758	336	9	14(2):69–82	14(2):69–82	NUM
ap-7758	336	10	,	,	PUNCT
ap-7758	336	11	2020	2020	NUM
ap-7758	336	12	.	.	PUNCT
ap-7758	337	1	https://doi.org/10.24874/jsscm.2020.14.02.05	https://doi.org/10.24874/jsscm.2020.14.02.05	NOUN
ap-7758	337	2	.	.	PUNCT
ap-7758	338	1	[	[	X
ap-7758	338	2	25	25	NUM
ap-7758	338	3	]	]	PUNCT
ap-7758	338	4	j.-r	j.-r	PROPN
ap-7758	338	5	.	.	PUNCT
ap-7758	339	1	lin	lin	PROPN
ap-7758	339	2	,	,	PUNCT
ap-7758	339	3	r.-f	r.-f	NOUN
ap-7758	339	4	.	.	PUNCT
ap-7758	340	1	lu	lu	PROPN
ap-7758	340	2	,	,	PUNCT
ap-7758	340	3	w.-h	w.-h	NOUN
ap-7758	340	4	.	.	PUNCT
ap-7758	341	1	liao	liao	PROPN
ap-7758	341	2	.	.	PUNCT
ap-7758	342	1	analysis	analysis	NOUN
ap-7758	342	2	of	of	ADP
ap-7758	342	3	mhd	mhd	NOUN
ap-7758	342	4	squeeze	squeeze	NOUN
ap-7758	342	5	film	film	NOUN
ap-7758	342	6	characteristics	characteristic	NOUN
ap-7758	342	7	between	between	ADP
ap-7758	342	8	curved	curved	ADJ
ap-7758	342	9	annular	annular	ADJ
ap-7758	342	10	plates	plate	NOUN
ap-7758	342	11	.	.	PUNCT
ap-7758	343	1	industrial	industrial	ADJ
ap-7758	343	2	lubrication	lubrication	NOUN
ap-7758	343	3	and	and	CCONJ
ap-7758	343	4	tribology	tribology	NOUN
ap-7758	343	5	56(5):300–305	56(5):300–305	PROPN
ap-7758	343	6	,	,	PUNCT
ap-7758	343	7	2004	2004	NUM
ap-7758	343	8	.	.	PUNCT
ap-7758	344	1	https://doi.org/10.1108/00368790410550714	https://doi.org/10.1108/00368790410550714	NOUN
ap-7758	344	2	.	.	PUNCT
ap-7758	345	1	[	[	X
ap-7758	345	2	26	26	NUM
ap-7758	345	3	]	]	X
ap-7758	345	4	b.	b.	PROPN
ap-7758	345	5	kashinath	kashinath	PROPN
ap-7758	345	6	,	,	PUNCT
ap-7758	345	7	h.	h.	PROPN
ap-7758	345	8	b.	b.	PROPN
ap-7758	345	9	nagangouda	nagangouda	PROPN
ap-7758	345	10	.	.	PUNCT
ap-7758	346	1	mhd	mhd	NOUN
ap-7758	346	2	effect	effect	NOUN
ap-7758	346	3	on	on	ADP
ap-7758	346	4	porous	porous	ADJ
ap-7758	346	5	wide	wide	ADJ
ap-7758	346	6	composite	composite	ADJ
ap-7758	346	7	slider	slider	NOUN
ap-7758	346	8	bearing	bearing	NOUN
ap-7758	346	9	lubricated	lubricate	VERB
ap-7758	346	10	with	with	ADP
ap-7758	346	11	a	a	DET
ap-7758	346	12	couplestress	couplestress	NOUN
ap-7758	346	13	fluids	fluid	NOUN
ap-7758	346	14	.	.	PUNCT
ap-7758	347	1	tribology	tribology	NOUN
ap-7758	347	2	online	online	ADV
ap-7758	347	3	10(1):11–20	10(1):11–20	NUM
ap-7758	347	4	,	,	PUNCT
ap-7758	347	5	2015	2015	NUM
ap-7758	347	6	.	.	PUNCT
ap-7758	348	1	https://doi.org/10.2474/trol.10.11	https://doi.org/10.2474/trol.10.11	ADJ
ap-7758	348	2	.	.	PUNCT
ap-7758	349	1	[	[	X
ap-7758	349	2	27	27	NUM
ap-7758	349	3	]	]	X
ap-7758	349	4	v.	v.	ADP
ap-7758	349	5	t.	t.	PROPN
ap-7758	349	6	morgan	morgan	PROPN
ap-7758	349	7	,	,	PUNCT
ap-7758	349	8	a.	a.	PROPN
ap-7758	349	9	cameron	cameron	PROPN
ap-7758	349	10	.	.	PUNCT
ap-7758	350	1	mechanism	mechanism	NOUN
ap-7758	350	2	of	of	ADP
ap-7758	350	3	lubrication	lubrication	NOUN
ap-7758	350	4	in	in	ADP
ap-7758	350	5	porous	porous	ADJ
ap-7758	350	6	metal	metal	NOUN
ap-7758	350	7	bearings	bearing	NOUN
ap-7758	350	8	.	.	PUNCT
ap-7758	351	1	in	in	ADP
ap-7758	351	2	proceedings	proceeding	NOUN
ap-7758	351	3	of	of	ADP
ap-7758	351	4	the	the	DET
ap-7758	351	5	conference	conference	NOUN
ap-7758	351	6	on	on	ADP
ap-7758	351	7	lubrication	lubrication	NOUN
ap-7758	351	8	and	and	CCONJ
ap-7758	351	9	wear	wear	NOUN
ap-7758	351	10	,	,	PUNCT
ap-7758	351	11	institution	institution	NOUN
ap-7758	351	12	of	of	ADP
ap-7758	351	13	mechanical	mechanical	ADJ
ap-7758	351	14	engineers	engineer	NOUN
ap-7758	351	15	,	,	PUNCT
ap-7758	351	16	pp	pp	ADV
ap-7758	351	17	.	.	PUNCT
ap-7758	352	1	151–157	151–157	NUM
ap-7758	352	2	.	.	PUNCT
ap-7758	352	3	london	london	PROPN
ap-7758	352	4	,	,	PUNCT
ap-7758	352	5	1957	1957	NUM
ap-7758	352	6	.	.	PUNCT
ap-7758	353	1	[	[	X
ap-7758	353	2	28	28	NUM
ap-7758	353	3	]	]	X
ap-7758	353	4	b.	b.	PROPN
ap-7758	353	5	n.	n.	PROPN
ap-7758	353	6	hanumagowda	hanumagowda	PROPN
ap-7758	353	7	,	,	PUNCT
ap-7758	353	8	a.	a.	PROPN
ap-7758	353	9	salma	salma	PROPN
ap-7758	353	10	.	.	PUNCT
ap-7758	354	1	study	study	NOUN
ap-7758	354	2	of	of	ADP
ap-7758	354	3	squeeze	squeeze	NOUN
ap-7758	354	4	film	film	NOUN
ap-7758	354	5	performance	performance	NOUN
ap-7758	354	6	with	with	ADP
ap-7758	354	7	mhd	mhd	NOUN
ap-7758	354	8	and	and	CCONJ
ap-7758	354	9	couple	couple	NOUN
ap-7758	354	10	stress	stress	NOUN
ap-7758	354	11	between	between	ADP
ap-7758	354	12	curved	curved	ADJ
ap-7758	354	13	annular	annular	ADJ
ap-7758	354	14	plates	plate	NOUN
ap-7758	354	15	.	.	PUNCT
ap-7758	355	1	international	international	ADJ
ap-7758	355	2	journal	journal	PROPN
ap-7758	355	3	of	of	ADP
ap-7758	355	4	research	research	NOUN
ap-7758	355	5	and	and	CCONJ
ap-7758	355	6	analytical	analytical	ADJ
ap-7758	355	7	reviews	review	NOUN
ap-7758	355	8	5(3):669–676	5(3):669–676	NUM
ap-7758	355	9	,	,	PUNCT
ap-7758	355	10	2018	2018	NUM
ap-7758	355	11	.	.	PUNCT
ap-7758	356	1	[	[	X
ap-7758	356	2	29	29	NUM
ap-7758	356	3	]	]	PUNCT
ap-7758	356	4	j.	j.	PROPN
ap-7758	356	5	l.	l.	PROPN
ap-7758	356	6	gupta	gupta	PROPN
ap-7758	356	7	,	,	PUNCT
ap-7758	356	8	k.	k.	PROPN
ap-7758	356	9	h.	h.	PROPN
ap-7758	356	10	vora	vora	PROPN
ap-7758	356	11	.	.	PUNCT
ap-7758	357	1	analysis	analysis	NOUN
ap-7758	357	2	of	of	ADP
ap-7758	357	3	squeeze	squeeze	NOUN
ap-7758	357	4	films	film	NOUN
ap-7758	357	5	between	between	ADP
ap-7758	357	6	curved	curved	ADJ
ap-7758	357	7	annular	annular	ADJ
ap-7758	357	8	plates	plate	NOUN
ap-7758	357	9	.	.	PUNCT
ap-7758	358	1	journal	journal	NOUN
ap-7758	358	2	of	of	ADP
ap-7758	358	3	lubrication	lubrication	NOUN
ap-7758	358	4	technology	technology	NOUN
ap-7758	358	5	102(1):48–50	102(1):48–50	NUM
ap-7758	358	6	,	,	PUNCT
ap-7758	358	7	1980	1980	NUM
ap-7758	358	8	.	.	PUNCT
ap-7758	359	1	https://doi.org/10.1115/1.3251436	https://doi.org/10.1115/1.3251436	NOUN
ap-7758	359	2	.	.	PUNCT
ap-7758	360	1	586	586	NUM
ap-7758	360	2	https://doi.org/10.1115/1.3657252	https://doi.org/10.1115/1.3657252	ADJ
ap-7758	360	3	https://doi.org/10.1016/0043-1648(63)90164-9	https://doi.org/10.1016/0043-1648(63)90164-9	ADJ
ap-7758	360	4	https://doi.org/10.1115/1.3656508	https://doi.org/10.1115/1.3656508	PROPN
ap-7758	360	5	https://doi.org/10.1115/1.3650685	https://doi.org/10.1115/1.3650685	PROPN
ap-7758	360	6	https://doi.org/10.1108/00368790110384028	https://doi.org/10.1108/00368790110384028	NOUN
ap-7758	360	7	https://doi.org/10.1108/00368790410550714	https://doi.org/10.1108/00368790410550714	VERB
ap-7758	360	8	https://doi.org/10.1243/pime_proc_1969_184_074_02	https://doi.org/10.1243/pime_proc_1969_184_074_02	NOUN
ap-7758	360	9	https://doi.org/10.1016/0043-1648(91)90352-u	https://doi.org/10.1016/0043-1648(91)90352-u	PROPN
ap-7758	360	10	https://doi.org/10.1016/j.triboint.2012.06.012	https://doi.org/10.1016/j.triboint.2012.06.012	NOUN
ap-7758	360	11	https://doi.org/10.1177/1350650117721432	https://doi.org/10.1177/1350650117721432	X
ap-7758	361	1	https://doi.org/https://pjm.ppu.edu/vol/828	https://doi.org/https://pjm.ppu.edu/vol/828	PROPN
ap-7758	362	1	https://doi.org/10.31181/rme200103037j	https://doi.org/10.31181/rme200103037j	PROPN
ap-7758	362	2	https://doi.org/10.1088/1742-6596/1139/1/012026	https://doi.org/10.1088/1742-6596/1139/1/012026	PROPN
ap-7758	362	3	https://doi.org/10.1007/978-981-16-0942-8_50	https://doi.org/10.1007/978-981-16-0942-8_50	NUM
ap-7758	362	4	https://doi.org/10.5281/zenodo.1088604	https://doi.org/10.5281/zenodo.1088604	VERB
ap-7758	362	5	https://doi.org/10.24874/jsscm.2020.14.02.05	https://doi.org/10.24874/jsscm.2020.14.02.05	NOUN
ap-7758	362	6	https://doi.org/10.1108/00368790410550714	https://doi.org/10.1108/00368790410550714	NOUN
ap-7758	362	7	https://doi.org/10.2474/trol.10.11	https://doi.org/10.2474/trol.10.11	ADJ
ap-7758	362	8	https://doi.org/10.1115/1.3251436	https://doi.org/10.1115/1.3251436	NOUN
ap-7758	362	9	vol	vol	NOUN
ap-7758	362	10	.	.	PUNCT
ap-7758	363	1	62	62	NUM
ap-7758	363	2	no	no	INTJ
ap-7758	363	3	.	.	PUNCT
ap-7758	364	1	6/2022	6/2022	NUM
ap-7758	364	2	study	study	NOUN
ap-7758	364	3	of	of	ADP
ap-7758	364	4	surface	surface	NOUN
ap-7758	364	5	roughness	roughness	NOUN
ap-7758	364	6	with	with	ADP
ap-7758	364	7	mhd	mhd	NOUN
ap-7758	364	8	and	and	CCONJ
ap-7758	364	9	couple	couple	NOUN
ap-7758	364	10	stress	stress	NOUN
ap-7758	364	11	fluid	fluid	NOUN
ap-7758	364	12	.	.	PUNCT
ap-7758	364	13	.	.	PUNCT
ap-7758	364	14	.	.	PUNCT
ap-7758	365	1	[	[	X
ap-7758	365	2	30	30	NUM
ap-7758	365	3	]	]	PUNCT
ap-7758	365	4	s.	s.	PROPN
ap-7758	365	5	t.	t.	PROPN
ap-7758	365	6	fathima	fathima	PROPN
ap-7758	365	7	,	,	PUNCT
ap-7758	365	8	n.	n.	PROPN
ap-7758	365	9	b.	b.	PROPN
ap-7758	365	10	naduvinamani	naduvinamani	PROPN
ap-7758	365	11	,	,	PUNCT
ap-7758	365	12	b.	b.	PROPN
ap-7758	365	13	n.	n.	PROPN
ap-7758	365	14	hanumagowda	hanumagowda	PROPN
ap-7758	365	15	,	,	PUNCT
ap-7758	365	16	j.	j.	PROPN
ap-7758	365	17	s.	s.	PROPN
ap-7758	365	18	kumar	kumar	PROPN
ap-7758	365	19	.	.	PROPN
ap-7758	366	1	modified	modified	PROPN
ap-7758	366	2	reynolds	reynolds	PROPN
ap-7758	366	3	equation	equation	NOUN
ap-7758	366	4	for	for	ADP
ap-7758	366	5	different	different	ADJ
ap-7758	366	6	types	type	NOUN
ap-7758	366	7	of	of	ADP
ap-7758	366	8	finite	finite	ADJ
ap-7758	366	9	plates	plate	NOUN
ap-7758	366	10	with	with	ADP
ap-7758	366	11	the	the	DET
ap-7758	366	12	combined	combine	VERB
ap-7758	366	13	effect	effect	NOUN
ap-7758	366	14	of	of	ADP
ap-7758	366	15	mhd	mhd	NOUN
ap-7758	366	16	and	and	CCONJ
ap-7758	366	17	couple	couple	NOUN
ap-7758	366	18	stresses	stress	NOUN
ap-7758	366	19	.	.	PUNCT
ap-7758	367	1	tribology	tribology	NOUN
ap-7758	367	2	transactions	transaction	NOUN
ap-7758	367	3	58(4):660–667	58(4):660–667	PROPN
ap-7758	367	4	,	,	PUNCT
ap-7758	367	5	2015	2015	NUM
ap-7758	367	6	.	.	PUNCT
ap-7758	368	1	https://doi.org/10.1080/10402004.2014.981906	https://doi.org/10.1080/10402004.2014.981906	X
ap-7758	368	2	.	.	PUNCT
ap-7758	369	1	[	[	X
ap-7758	369	2	31	31	NUM
ap-7758	369	3	]	]	PUNCT
ap-7758	369	4	a.	a.	NOUN
ap-7758	369	5	król	król	PROPN
ap-7758	369	6	,	,	PUNCT
ap-7758	369	7	b.	b.	PROPN
ap-7758	369	8	giemza	giemza	PROPN
ap-7758	369	9	,	,	PUNCT
ap-7758	369	10	t.	t.	PROPN
ap-7758	369	11	kałdoński	kałdoński	PROPN
ap-7758	369	12	.	.	PUNCT
ap-7758	370	1	the	the	DET
ap-7758	370	2	development	development	NOUN
ap-7758	370	3	of	of	ADP
ap-7758	370	4	the	the	DET
ap-7758	370	5	lubricants	lubricant	NOUN
ap-7758	370	6	applied	apply	VERB
ap-7758	370	7	in	in	ADP
ap-7758	370	8	the	the	DET
ap-7758	370	9	porous	porous	ADJ
ap-7758	370	10	bearings	bearing	NOUN
ap-7758	370	11	.	.	PUNCT
ap-7758	371	1	journal	journal	PROPN
ap-7758	371	2	of	of	ADP
ap-7758	371	3	kones	kone	NOUN
ap-7758	371	4	powertrain	powertrain	VERB
ap-7758	371	5	and	and	CCONJ
ap-7758	371	6	transport	transport	VERB
ap-7758	371	7	14(3):311–317	14(3):311–317	NUM
ap-7758	371	8	,	,	PUNCT
ap-7758	371	9	2007	2007	NUM
ap-7758	371	10	.	.	PUNCT
ap-7758	372	1	587	587	NUM
ap-7758	372	2	https://doi.org/10.1080/10402004.2014.981906	https://doi.org/10.1080/10402004.2014.981906	PROPN
ap-7758	372	3	salma	salma	PROPN
ap-7758	372	4	alla	alla	PROPN
ap-7758	372	5	baksh	baksh	PROPN
ap-7758	372	6	,	,	PUNCT
ap-7758	372	7	hanumagowda	hanumagowda	PROPN
ap-7758	372	8	bannihalli	bannihalli	PROPN
ap-7758	372	9	naganagowda	naganagowda	PROPN
ap-7758	372	10	acta	acta	PROPN
ap-7758	372	11	polytechnica	polytechnica	PROPN
ap-7758	372	12	a.	a.	NOUN
ap-7758	372	13	appendices	appendice	VERB
ap-7758	372	14	a	a	DET
ap-7758	372	15	=	=	X
ap-7758	372	16	{	{	PUNCT
ap-7758	372	17	1	1	NUM
ap-7758	372	18	+	+	CCONJ
ap-7758	372	19	(	(	PUNCT
ap-7758	372	20	1	1	NUM
ap-7758	372	21	−	−	PROPN
ap-7758	372	22	4m2l2	4m2l2	NUM
ap-7758	372	23	/	/	SYM
ap-7758	372	24	h2	h2	PROPN
ap-7758	372	25	0	0	NUM
ap-7758	372	26	)	)	PUNCT
ap-7758	373	1	1/2	1/2	NUM
ap-7758	373	2	2	2	NUM
ap-7758	373	3	}	}	SYM
ap-7758	373	4	1/2	1/2	NUM
ap-7758	373	5	b	b	X
ap-7758	373	6	=	=	PUNCT
ap-7758	373	7	{	{	PUNCT
ap-7758	373	8	1	1	NUM
ap-7758	373	9	−	−	PROPN
ap-7758	373	10	(	(	PUNCT
ap-7758	373	11	1	1	NUM
ap-7758	373	12	−	−	PROPN
ap-7758	373	13	4m2l2	4m2l2	NUM
ap-7758	373	14	/	/	SYM
ap-7758	373	15	h2	h2	PROPN
ap-7758	373	16	0	0	NUM
ap-7758	373	17	)	)	PUNCT
ap-7758	373	18	1/2	1/2	NUM
ap-7758	373	19	2	2	NUM
ap-7758	373	20	}	}	PUNCT
ap-7758	373	21	g11	g11	X
ap-7758	373	22	=	=	SYM
ap-7758	373	23	a2	a2	PROPN
ap-7758	373	24	(	(	PUNCT
ap-7758	373	25	a2	a2	PROPN
ap-7758	373	26	−	−	PROPN
ap-7758	373	27	b2	b2	NOUN
ap-7758	373	28	)	)	PUNCT
ap-7758	373	29	cosh	cosh	NOUN
ap-7758	373	30	{	{	PUNCT
ap-7758	373	31	b(2z	b(2z	PROPN
ap-7758	373	32	−	−	PROPN
ap-7758	373	33	h)/2l	h)/2l	PROPN
ap-7758	373	34	}	}	PUNCT
ap-7758	373	35	cosh(bh/2l	cosh(bh/2l	ADJ
ap-7758	373	36	)	)	PUNCT
ap-7758	373	37	g12	g12	NOUN
ap-7758	373	38	=	=	SYM
ap-7758	373	39	b2	b2	PROPN
ap-7758	373	40	(	(	PUNCT
ap-7758	373	41	a2	a2	PROPN
ap-7758	373	42	−	−	PROPN
ap-7758	373	43	b2	b2	NOUN
ap-7758	373	44	)	)	PUNCT
ap-7758	373	45	cosh	cosh	NOUN
ap-7758	373	46	{	{	PUNCT
ap-7758	373	47	a(2z	a(2z	PROPN
ap-7758	373	48	−	−	PROPN
ap-7758	373	49	h)/2l	h)/2l	PROPN
ap-7758	373	50	}	}	PUNCT
ap-7758	373	51	cosh(ah/2l	cosh(ah/2l	PROPN
ap-7758	373	52	)	)	PUNCT
ap-7758	373	53	g21	g21	NOUN
ap-7758	373	54	=	=	SYM
ap-7758	373	55	2	2	NUM
ap-7758	373	56	cosh	cosh	NOUN
ap-7758	373	57	{	{	PUNCT
ap-7758	373	58	(	(	PUNCT
ap-7758	373	59	z	z	NOUN
ap-7758	373	60	−	−	PROPN
ap-7758	374	1	h)/	h)/	PROPN
ap-7758	374	2	√	√	ADV
ap-7758	374	3	2l	2l	NUM
ap-7758	374	4	}	}	PUNCT
ap-7758	374	5	+	+	SYM
ap-7758	374	6	2	2	NUM
ap-7758	374	7	cosh	cosh	NOUN
ap-7758	374	8	(	(	PUNCT
ap-7758	374	9	z/	z/	NUM
ap-7758	374	10	√	√	NUM
ap-7758	374	11	2l	2l	NUM
ap-7758	374	12	)	)	PUNCT
ap-7758	374	13	2	2	NUM
ap-7758	374	14	{	{	PUNCT
ap-7758	374	15	cosh	cosh	NOUN
ap-7758	374	16	(	(	PUNCT
ap-7758	374	17	√	√	NUM
ap-7758	374	18	2l	2l	NUM
ap-7758	374	19	)	)	PUNCT
ap-7758	374	20	+	+	CCONJ
ap-7758	374	21	1	1	X
ap-7758	374	22	}	}	PUNCT
ap-7758	374	23	g22	g22	NOUN
ap-7758	374	24	=	=	SYM
ap-7758	374	25	(	(	PUNCT
ap-7758	374	26	z/	z/	NUM
ap-7758	374	27	√	√	NUM
ap-7758	374	28	2l	2l	NUM
ap-7758	374	29	)	)	PUNCT
ap-7758	374	30	sinh	sinh	NOUN
ap-7758	374	31	{	{	PUNCT
ap-7758	374	32	(	(	PUNCT
ap-7758	374	33	z	z	NOUN
ap-7758	374	34	−	−	PROPN
ap-7758	374	35	h	h	NOUN
ap-7758	374	36	)	)	PUNCT
ap-7758	374	37	/	/	SYM
ap-7758	374	38	√	√	PROPN
ap-7758	374	39	2l	2l	NOUN
ap-7758	374	40	}	}	PUNCT
ap-7758	374	41	+	+	CCONJ
ap-7758	374	42	{	{	PUNCT
ap-7758	374	43	(	(	PUNCT
ap-7758	374	44	z	z	NOUN
ap-7758	374	45	−	−	PROPN
ap-7758	374	46	h)/	h)/	PROPN
ap-7758	374	47	√	√	ADP
ap-7758	374	48	2l	2l	NUM
ap-7758	374	49	}	}	PUNCT
ap-7758	374	50	sinh	sinh	NOUN
ap-7758	374	51	(	(	PUNCT
ap-7758	374	52	z/	z/	NUM
ap-7758	374	53	√	√	ADP
ap-7758	374	54	2l	2l	NUM
ap-7758	374	55	)	)	PUNCT
ap-7758	374	56	2	2	NUM
ap-7758	374	57	{	{	PUNCT
ap-7758	374	58	cosh(h/	cosh(h/	NOUN
ap-7758	374	59	√	√	ADP
ap-7758	374	60	2l	2l	NUM
ap-7758	374	61	)	)	PUNCT
ap-7758	374	62	+	+	CCONJ
ap-7758	374	63	1	1	X
ap-7758	374	64	}	}	PUNCT
ap-7758	374	65	g31	g31	NOUN
ap-7758	374	66	=	=	SYM
ap-7758	374	67	cos	cos	PROPN
ap-7758	374	68	b2z	b2z	PROPN
ap-7758	374	69	cosh	cosh	PROPN
ap-7758	374	70	a2(z	a2(z	PUNCT
ap-7758	374	71	−	−	PROPN
ap-7758	374	72	h	h	NOUN
ap-7758	374	73	)	)	PUNCT
ap-7758	374	74	+	+	CCONJ
ap-7758	374	75	cosh	cosh	PROPN
ap-7758	374	76	a2z	a2z	PROPN
ap-7758	374	77	cos	cos	ADP
ap-7758	374	78	b2(z	b2(z	PRON
ap-7758	374	79	−	−	PROPN
ap-7758	374	80	h	h	NOUN
ap-7758	374	81	)	)	PUNCT
ap-7758	374	82	cosh	cosh	NOUN
ap-7758	374	83	a2h	a2h	X
ap-7758	374	84	+	+	CCONJ
ap-7758	374	85	cos	cos	PROPN
ap-7758	374	86	b2h	b2h	PROPN
ap-7758	374	87	g32	g32	NOUN
ap-7758	374	88	=	=	PUNCT
ap-7758	374	89	cot	cot	NOUN
ap-7758	374	90	θ	θ	PROPN
ap-7758	374	91	{	{	PUNCT
ap-7758	374	92	sinh	sinh	VERB
ap-7758	374	93	a2z	a2z	PROPN
ap-7758	374	94	sin	sin	NOUN
ap-7758	374	95	b2(z	b2(z	PRON
ap-7758	374	96	−	−	PROPN
ap-7758	374	97	h	h	NOUN
ap-7758	374	98	)	)	PUNCT
ap-7758	375	1	+	+	CCONJ
ap-7758	375	2	sin	sin	NOUN
ap-7758	375	3	b2z	b2z	PROPN
ap-7758	375	4	sinh	sinh	VERB
ap-7758	375	5	a2(z	a2(z	PUNCT
ap-7758	375	6	−	−	PROPN
ap-7758	375	7	h	h	NOUN
ap-7758	375	8	)	)	PUNCT
ap-7758	375	9	}	}	PUNCT
ap-7758	375	10	cosh	cosh	VERB
ap-7758	376	1	a2h	a2h	ADV
ap-7758	376	2	+	+	CCONJ
ap-7758	376	3	cos	cos	PROPN
ap-7758	376	4	b2h	b2h	PROPN
ap-7758	376	5	a2	a2	PROPN
ap-7758	376	6	=	=	PROPN
ap-7758	376	7	√	√	PROPN
ap-7758	376	8	m	m	NOUN
ap-7758	376	9	/	/	SYM
ap-7758	376	10	lh0	lh0	ADJ
ap-7758	376	11	cos(θ/2	cos(θ/2	PROPN
ap-7758	376	12	)	)	PUNCT
ap-7758	376	13	b2	b2	NOUN
ap-7758	376	14	=	=	SYM
ap-7758	376	15	√	√	NUM
ap-7758	376	16	m	m	NOUN
ap-7758	376	17	/	/	SYM
ap-7758	376	18	lh0	lh0	ADJ
ap-7758	376	19	sin(θ/2	sin(θ/2	NOUN
ap-7758	376	20	)	)	PUNCT
ap-7758	376	21	θ	θ	PROPN
ap-7758	377	1	=	=	SYM
ap-7758	377	2	tan−1	tan−1	PROPN
ap-7758	377	3	(	(	PUNCT
ap-7758	377	4	√	√	PROPN
ap-7758	377	5	4l2m2	4l2m2	NUM
ap-7758	377	6	/	/	SYM
ap-7758	377	7	h2	h2	NOUN
ap-7758	377	8	0	0	NUM
ap-7758	378	1	−	−	NOUN
ap-7758	378	2	1	1	NUM
ap-7758	378	3	)	)	PUNCT
ap-7758	378	4	588	588	NUM
ap-7758	378	5	acta	acta	PROPN
ap-7758	378	6	polytechnica	polytechnica	PROPN
ap-7758	378	7	62(6):574–588	62(6):574–588	PROPN
ap-7758	378	8	,	,	PUNCT
ap-7758	378	9	2022	2022	NUM
ap-7758	378	10	1	1	NUM
ap-7758	378	11	introduction	introduction	NOUN
ap-7758	378	12	2	2	NUM
ap-7758	378	13	mathematical	mathematical	ADJ
ap-7758	378	14	formulation	formulation	NOUN
ap-7758	378	15	and	and	CCONJ
ap-7758	378	16	solution	solution	NOUN
ap-7758	378	17	2.1	2.1	NUM
ap-7758	378	18	stochastic	stochastic	ADJ
ap-7758	378	19	reynolds	reynold	NOUN
ap-7758	378	20	equation	equation	NOUN
ap-7758	378	21	3	3	NUM
ap-7758	378	22	result	result	NOUN
ap-7758	378	23	and	and	CCONJ
ap-7758	378	24	discussions	discussion	NOUN
ap-7758	378	25	3.1	3.1	NUM
ap-7758	378	26	mean	mean	NOUN
ap-7758	378	27	film	film	NOUN
ap-7758	378	28	pressure	pressure	NOUN
ap-7758	378	29	3.2	3.2	NUM
ap-7758	378	30	mean	mean	NOUN
ap-7758	378	31	load	load	NOUN
ap-7758	378	32	supporting	support	VERB
ap-7758	378	33	capacity	capacity	NOUN
ap-7758	378	34	3.3	3.3	NUM
ap-7758	378	35	squeeze	squeeze	NOUN
ap-7758	378	36	film	film	NOUN
ap-7758	378	37	time	time	NOUN
ap-7758	378	38	4	4	NUM
ap-7758	378	39	conclusion	conclusion	NOUN
ap-7758	378	40	acknowledgements	acknowledgement	NOUN
ap-7758	378	41	references	reference	NOUN
ap-7758	378	42	a	a	DET
ap-7758	378	43	appendices	appendix	NOUN