id	sid	tid	token	lemma	pos
ejpam-4549	1	1	european	european	PROPN
ejpam-4549	1	2	journal	journal	PROPN
ejpam-4549	1	3	of	of	ADP
ejpam-4549	1	4	pure	pure	ADJ
ejpam-4549	1	5	and	and	CCONJ
ejpam-4549	1	6	applied	apply	VERB
ejpam-4549	1	7	mathematics	mathematic	NOUN
ejpam-4549	1	8	vol	vol	NOUN
ejpam-4549	1	9	.	.	PROPN
ejpam-4549	2	1	15	15	NUM
ejpam-4549	2	2	,	,	PUNCT
ejpam-4549	2	3	no	no	INTJ
ejpam-4549	2	4	.	.	NOUN
ejpam-4549	2	5	4	4	NUM
ejpam-4549	2	6	,	,	PUNCT
ejpam-4549	2	7	2022	2022	NUM
ejpam-4549	2	8	,	,	PUNCT
ejpam-4549	2	9	1566	1566	NUM
ejpam-4549	2	10	-	-	SYM
ejpam-4549	2	11	1592	1592	NUM
ejpam-4549	2	12	issn	issn	PROPN
ejpam-4549	2	13	1307	1307	NUM
ejpam-4549	2	14	-	-	SYM
ejpam-4549	2	15	5543	5543	NUM
ejpam-4549	2	16	–	–	PUNCT
ejpam-4549	2	17	ejpam.com	ejpam.com	X
ejpam-4549	2	18	published	publish	VERB
ejpam-4549	2	19	by	by	ADP
ejpam-4549	2	20	new	new	PROPN
ejpam-4549	2	21	york	york	PROPN
ejpam-4549	2	22	business	business	PROPN
ejpam-4549	2	23	global	global	PROPN
ejpam-4549	2	24	the	the	DET
ejpam-4549	2	25	axisymmetric	axisymmetric	ADJ
ejpam-4549	2	26	migration	migration	NOUN
ejpam-4549	2	27	of	of	ADP
ejpam-4549	2	28	an	an	DET
ejpam-4549	2	29	aerosol	aerosol	NOUN
ejpam-4549	2	30	particle	particle	NOUN
ejpam-4549	2	31	embedded	embed	VERB
ejpam-4549	2	32	in	in	ADP
ejpam-4549	2	33	a	a	DET
ejpam-4549	2	34	brinkmann	brinkmann	PROPN
ejpam-4549	2	35	medium	medium	NOUN
ejpam-4549	2	36	of	of	ADP
ejpam-4549	2	37	a	a	DET
ejpam-4549	2	38	couple	couple	NOUN
ejpam-4549	2	39	stress	stress	NOUN
ejpam-4549	2	40	fluid	fluid	NOUN
ejpam-4549	2	41	with	with	ADP
ejpam-4549	2	42	slip	slip	NOUN
ejpam-4549	2	43	regime	regime	NOUN
ejpam-4549	2	44	shreen	shreen	PROPN
ejpam-4549	2	45	el	el	PROPN
ejpam-4549	2	46	-	-	PUNCT
ejpam-4549	2	47	sapa1,2∗	sapa1,2∗	PROPN
ejpam-4549	2	48	,	,	PUNCT
ejpam-4549	2	49	areej	areej	NOUN
ejpam-4549	2	50	a.	a.	NOUN
ejpam-4549	2	51	almoneef2	almoneef2	PROPN
ejpam-4549	2	52	1	1	NUM
ejpam-4549	2	53	department	department	NOUN
ejpam-4549	2	54	of	of	ADP
ejpam-4549	2	55	mathematics	mathematic	NOUN
ejpam-4549	2	56	,	,	PUNCT
ejpam-4549	2	57	faculty	faculty	NOUN
ejpam-4549	2	58	of	of	ADP
ejpam-4549	2	59	science	science	NOUN
ejpam-4549	2	60	,	,	PUNCT
ejpam-4549	2	61	damanhour	damanhour	NOUN
ejpam-4549	2	62	university	university	NOUN
ejpam-4549	2	63	,	,	PUNCT
ejpam-4549	2	64	damanhour	damanhour	NOUN
ejpam-4549	2	65	,	,	PUNCT
ejpam-4549	2	66	egypt	egypt	PROPN
ejpam-4549	2	67	2	2	NUM
ejpam-4549	2	68	department	department	NOUN
ejpam-4549	2	69	of	of	ADP
ejpam-4549	2	70	mathematical	mathematical	ADJ
ejpam-4549	2	71	sciences	sciences	PROPN
ejpam-4549	2	72	,	,	PUNCT
ejpam-4549	2	73	college	college	NOUN
ejpam-4549	2	74	of	of	ADP
ejpam-4549	2	75	science	science	NOUN
ejpam-4549	2	76	,	,	PUNCT
ejpam-4549	2	77	princess	princess	PROPN
ejpam-4549	2	78	nourah	nourah	PROPN
ejpam-4549	2	79	bint	bint	PROPN
ejpam-4549	2	80	abdulrahman	abdulrahman	PROPN
ejpam-4549	2	81	university	university	PROPN
ejpam-4549	2	82	,	,	PUNCT
ejpam-4549	2	83	p.o.box	p.o.box	PROPN
ejpam-4549	2	84	84428	84428	NUM
ejpam-4549	2	85	,	,	PUNCT
ejpam-4549	2	86	riyadh	riyadh	PROPN
ejpam-4549	2	87	11671	11671	NUM
ejpam-4549	2	88	,	,	PUNCT
ejpam-4549	2	89	saudi	saudi	PROPN
ejpam-4549	2	90	arabia	arabia	PROPN
ejpam-4549	2	91	abstract	abstract	NOUN
ejpam-4549	2	92	.	.	PUNCT
ejpam-4549	3	1	this	this	DET
ejpam-4549	3	2	study	study	NOUN
ejpam-4549	3	3	examined	examine	VERB
ejpam-4549	3	4	the	the	DET
ejpam-4549	3	5	relationship	relationship	NOUN
ejpam-4549	3	6	between	between	ADP
ejpam-4549	3	7	stresses	stress	NOUN
ejpam-4549	3	8	and	and	CCONJ
ejpam-4549	3	9	couple	couple	NOUN
ejpam-4549	3	10	stresses	stress	NOUN
ejpam-4549	3	11	within	within	ADP
ejpam-4549	3	12	the	the	DET
ejpam-4549	3	13	context	context	NOUN
ejpam-4549	3	14	of	of	ADP
ejpam-4549	3	15	the	the	DET
ejpam-4549	3	16	couple	couple	NOUN
ejpam-4549	3	17	stress	stress	NOUN
ejpam-4549	3	18	fluid	fluid	NOUN
ejpam-4549	3	19	theory	theory	NOUN
ejpam-4549	3	20	.	.	PUNCT
ejpam-4549	4	1	the	the	DET
ejpam-4549	4	2	application	application	NOUN
ejpam-4549	4	3	of	of	ADP
ejpam-4549	4	4	the	the	DET
ejpam-4549	4	5	effective	effective	ADJ
ejpam-4549	4	6	medium	medium	ADJ
ejpam-4549	4	7	approach	approach	NOUN
ejpam-4549	4	8	,	,	PUNCT
ejpam-4549	4	9	based	base	VERB
ejpam-4549	4	10	on	on	ADP
ejpam-4549	4	11	the	the	DET
ejpam-4549	4	12	brinkman	brinkman	PROPN
ejpam-4549	4	13	equation	equation	NOUN
ejpam-4549	4	14	,	,	PUNCT
ejpam-4549	4	15	is	be	AUX
ejpam-4549	4	16	also	also	ADV
ejpam-4549	4	17	discussed	discuss	VERB
ejpam-4549	4	18	under	under	ADP
ejpam-4549	4	19	the	the	DET
ejpam-4549	4	20	effect	effect	NOUN
ejpam-4549	4	21	of	of	ADP
ejpam-4549	4	22	slip	slip	NOUN
ejpam-4549	4	23	and	and	CCONJ
ejpam-4549	4	24	spin	spin	VERB
ejpam-4549	4	25	slip	slip	NOUN
ejpam-4549	4	26	on	on	ADP
ejpam-4549	4	27	the	the	DET
ejpam-4549	4	28	surface	surface	NOUN
ejpam-4549	4	29	of	of	ADP
ejpam-4549	4	30	the	the	DET
ejpam-4549	4	31	solid	solid	ADJ
ejpam-4549	4	32	sphere	sphere	NOUN
ejpam-4549	4	33	immersed	immerse	VERB
ejpam-4549	4	34	in	in	ADP
ejpam-4549	4	35	porous	porous	ADJ
ejpam-4549	4	36	couple	couple	NOUN
ejpam-4549	4	37	stress	stress	NOUN
ejpam-4549	4	38	fluid	fluid	NOUN
ejpam-4549	4	39	.	.	PUNCT
ejpam-4549	5	1	the	the	DET
ejpam-4549	5	2	motion	motion	NOUN
ejpam-4549	5	3	is	be	AUX
ejpam-4549	5	4	generated	generate	VERB
ejpam-4549	5	5	by	by	ADP
ejpam-4549	5	6	moving	move	VERB
ejpam-4549	5	7	a	a	DET
ejpam-4549	5	8	solid	solid	ADJ
ejpam-4549	5	9	sphere	sphere	NOUN
ejpam-4549	5	10	at	at	ADP
ejpam-4549	5	11	a	a	DET
ejpam-4549	5	12	constant	constant	ADJ
ejpam-4549	5	13	speed	speed	NOUN
ejpam-4549	5	14	.	.	PUNCT
ejpam-4549	6	1	using	use	VERB
ejpam-4549	6	2	stokesian	stokesian	ADJ
ejpam-4549	6	3	assumptions	assumption	NOUN
ejpam-4549	6	4	,	,	PUNCT
ejpam-4549	6	5	the	the	DET
ejpam-4549	6	6	equation	equation	NOUN
ejpam-4549	6	7	of	of	ADP
ejpam-4549	6	8	motion	motion	NOUN
ejpam-4549	6	9	ignores	ignore	VERB
ejpam-4549	6	10	nonlinear	nonlinear	ADJ
ejpam-4549	6	11	terms	term	NOUN
ejpam-4549	6	12	.	.	PUNCT
ejpam-4549	7	1	the	the	DET
ejpam-4549	7	2	surface	surface	NOUN
ejpam-4549	7	3	conditions	condition	NOUN
ejpam-4549	7	4	for	for	ADP
ejpam-4549	7	5	slip	slip	NOUN
ejpam-4549	7	6	and	and	CCONJ
ejpam-4549	7	7	spin	spin	VERB
ejpam-4549	7	8	slip	slip	NOUN
ejpam-4549	7	9	of	of	ADP
ejpam-4549	7	10	couple	couple	NOUN
ejpam-4549	7	11	stress	stress	NOUN
ejpam-4549	7	12	fluids	fluid	NOUN
ejpam-4549	7	13	have	have	AUX
ejpam-4549	7	14	been	be	AUX
ejpam-4549	7	15	applied	apply	VERB
ejpam-4549	7	16	.	.	PUNCT
ejpam-4549	8	1	tables	table	NOUN
ejpam-4549	8	2	and	and	CCONJ
ejpam-4549	8	3	graphs	graph	NOUN
ejpam-4549	8	4	are	be	AUX
ejpam-4549	8	5	used	use	VERB
ejpam-4549	8	6	to	to	PART
ejpam-4549	8	7	represent	represent	VERB
ejpam-4549	8	8	the	the	DET
ejpam-4549	8	9	normalized	normalize	VERB
ejpam-4549	8	10	drag	drag	NOUN
ejpam-4549	8	11	force	force	NOUN
ejpam-4549	8	12	exerted	exert	VERB
ejpam-4549	8	13	by	by	ADP
ejpam-4549	8	14	the	the	DET
ejpam-4549	8	15	fluid	fluid	ADJ
ejpam-4549	8	16	flow	flow	NOUN
ejpam-4549	8	17	on	on	ADP
ejpam-4549	8	18	the	the	DET
ejpam-4549	8	19	solid	solid	ADJ
ejpam-4549	8	20	sphere	sphere	NOUN
ejpam-4549	8	21	.	.	PUNCT
ejpam-4549	9	1	according	accord	VERB
ejpam-4549	9	2	to	to	ADP
ejpam-4549	9	3	the	the	DET
ejpam-4549	9	4	numerical	numerical	ADJ
ejpam-4549	9	5	results	result	NOUN
ejpam-4549	9	6	,	,	PUNCT
ejpam-4549	9	7	the	the	DET
ejpam-4549	9	8	drag	drag	NOUN
ejpam-4549	9	9	force	force	NOUN
ejpam-4549	9	10	increases	increase	VERB
ejpam-4549	9	11	monotonically	monotonically	ADV
ejpam-4549	9	12	with	with	ADP
ejpam-4549	9	13	permeability	permeability	NOUN
ejpam-4549	9	14	and	and	CCONJ
ejpam-4549	9	15	couple	couple	NOUN
ejpam-4549	9	16	stress	stress	NOUN
ejpam-4549	9	17	.	.	PUNCT
ejpam-4549	10	1	as	as	ADP
ejpam-4549	10	2	a	a	DET
ejpam-4549	10	3	result	result	NOUN
ejpam-4549	10	4	,	,	PUNCT
ejpam-4549	10	5	the	the	DET
ejpam-4549	10	6	results	result	NOUN
ejpam-4549	10	7	obtained	obtain	VERB
ejpam-4549	10	8	are	be	AUX
ejpam-4549	10	9	consistent	consistent	ADJ
ejpam-4549	10	10	with	with	ADP
ejpam-4549	10	11	those	those	PRON
ejpam-4549	10	12	found	find	VERB
ejpam-4549	10	13	in	in	ADP
ejpam-4549	10	14	the	the	DET
ejpam-4549	10	15	literature	literature	NOUN
ejpam-4549	10	16	for	for	ADP
ejpam-4549	10	17	viscous	viscous	ADJ
ejpam-4549	10	18	fluids	fluid	NOUN
ejpam-4549	10	19	,	,	PUNCT
ejpam-4549	10	20	and	and	CCONJ
ejpam-4549	10	21	the	the	DET
ejpam-4549	10	22	special	special	ADJ
ejpam-4549	10	23	cases	case	NOUN
ejpam-4549	10	24	are	be	AUX
ejpam-4549	10	25	determined	determine	VERB
ejpam-4549	10	26	.	.	PUNCT
ejpam-4549	11	1	2020	2020	NUM
ejpam-4549	11	2	mathematics	mathematic	NOUN
ejpam-4549	11	3	subject	subject	NOUN
ejpam-4549	11	4	classifications	classification	NOUN
ejpam-4549	11	5	:	:	PUNCT
ejpam-4549	11	6	76	76	NUM
ejpam-4549	11	7	-	-	SYM
ejpam-4549	11	8	xx	xx	NUM
ejpam-4549	11	9	,	,	PUNCT
ejpam-4549	11	10	76dxx	76dxx	VERB
ejpam-4549	11	11	key	key	ADJ
ejpam-4549	11	12	words	word	NOUN
ejpam-4549	11	13	and	and	CCONJ
ejpam-4549	11	14	phrases	phrase	NOUN
ejpam-4549	11	15	:	:	PUNCT
ejpam-4549	11	16	couple	couple	NOUN
ejpam-4549	11	17	stress	stress	NOUN
ejpam-4549	11	18	fluid	fluid	NOUN
ejpam-4549	11	19	,	,	PUNCT
ejpam-4549	11	20	slip	slip	VERB
ejpam-4549	11	21	and	and	CCONJ
ejpam-4549	11	22	spin	spin	VERB
ejpam-4549	11	23	slip	slip	NOUN
ejpam-4549	11	24	,	,	PUNCT
ejpam-4549	11	25	permeability	permeability	NOUN
ejpam-4549	11	26	1	1	NUM
ejpam-4549	11	27	.	.	PUNCT
ejpam-4549	12	1	introduction	introduction	NOUN
ejpam-4549	12	2	recent	recent	ADJ
ejpam-4549	12	3	investigations	investigation	NOUN
ejpam-4549	12	4	pertaining	pertain	VERB
ejpam-4549	12	5	to	to	ADP
ejpam-4549	12	6	the	the	DET
ejpam-4549	12	7	theory	theory	NOUN
ejpam-4549	12	8	of	of	ADP
ejpam-4549	12	9	couple	couple	NOUN
ejpam-4549	12	10	stress	stress	NOUN
ejpam-4549	12	11	fluid	fluid	NOUN
ejpam-4549	12	12	manner	manner	NOUN
ejpam-4549	12	13	are	be	AUX
ejpam-4549	12	14	extremely	extremely	ADV
ejpam-4549	12	15	valuable	valuable	ADJ
ejpam-4549	12	16	,	,	PUNCT
ejpam-4549	12	17	and	and	CCONJ
ejpam-4549	12	18	such	such	ADJ
ejpam-4549	12	19	analyses	analysis	NOUN
ejpam-4549	12	20	provide	provide	VERB
ejpam-4549	12	21	sufficient	sufficient	ADJ
ejpam-4549	12	22	insight	insight	NOUN
ejpam-4549	12	23	into	into	ADP
ejpam-4549	12	24	the	the	DET
ejpam-4549	12	25	behavior	behavior	NOUN
ejpam-4549	12	26	of	of	ADP
ejpam-4549	12	27	rheological	rheological	ADJ
ejpam-4549	12	28	complex	complex	ADJ
ejpam-4549	12	29	fluids	fluid	NOUN
ejpam-4549	12	30	,	,	PUNCT
ejpam-4549	12	31	such	such	ADJ
ejpam-4549	12	32	as	as	ADP
ejpam-4549	12	33	polymeric	polymeric	ADJ
ejpam-4549	12	34	suspensions	suspension	NOUN
ejpam-4549	12	35	containing	contain	VERB
ejpam-4549	12	36	long	long	ADJ
ejpam-4549	12	37	-	-	PUNCT
ejpam-4549	12	38	chain	chain	NOUN
ejpam-4549	12	39	molecules	molecule	NOUN
ejpam-4549	12	40	,	,	PUNCT
ejpam-4549	12	41	liquid	liquid	ADJ
ejpam-4549	12	42	crystals	crystal	NOUN
ejpam-4549	12	43	,	,	PUNCT
ejpam-4549	12	44	lubricants	lubricant	NOUN
ejpam-4549	12	45	,	,	PUNCT
ejpam-4549	12	46	and	and	CCONJ
ejpam-4549	12	47	human	human	ADJ
ejpam-4549	12	48	blood	blood	NOUN
ejpam-4549	12	49	.	.	PUNCT
ejpam-4549	13	1	according	accord	VERB
ejpam-4549	13	2	to	to	ADP
ejpam-4549	13	3	couple	couple	NOUN
ejpam-4549	13	4	stress	stress	NOUN
ejpam-4549	13	5	fluid	fluid	NOUN
ejpam-4549	13	6	theory	theory	NOUN
ejpam-4549	13	7	,	,	PUNCT
ejpam-4549	13	8	particle	particle	NOUN
ejpam-4549	13	9	sizes	size	NOUN
ejpam-4549	13	10	are	be	AUX
ejpam-4549	13	11	considered	consider	VERB
ejpam-4549	13	12	when	when	SCONJ
ejpam-4549	13	13	describing	describe	VERB
ejpam-4549	13	14	a	a	DET
ejpam-4549	13	15	non	non	ADJ
ejpam-4549	13	16	-	-	ADJ
ejpam-4549	13	17	newtonian	newtonian	ADJ
ejpam-4549	13	18	fluid	fluid	NOUN
ejpam-4549	13	19	.	.	PUNCT
ejpam-4549	14	1	a	a	DET
ejpam-4549	14	2	theory	theory	NOUN
ejpam-4549	14	3	of	of	ADP
ejpam-4549	14	4	microcontinuum	microcontinuum	PROPN
ejpam-4549	14	5	obtained	obtain	VERB
ejpam-4549	14	6	by	by	ADP
ejpam-4549	14	7	stokes	stoke	NOUN
ejpam-4549	14	8	[	[	X
ejpam-4549	14	9	1	1	NUM
ejpam-4549	14	10	]	]	PUNCT
ejpam-4549	14	11	is	be	AUX
ejpam-4549	14	12	considered	consider	VERB
ejpam-4549	14	13	to	to	PART
ejpam-4549	14	14	take	take	VERB
ejpam-4549	14	15	into	into	ADP
ejpam-4549	14	16	account	account	NOUN
ejpam-4549	14	17	the	the	DET
ejpam-4549	14	18	particle	particle	NOUN
ejpam-4549	14	19	size	size	NOUN
ejpam-4549	14	20	effects	effect	NOUN
ejpam-4549	14	21	in	in	ADP
ejpam-4549	14	22	order	order	NOUN
ejpam-4549	14	23	to	to	PART
ejpam-4549	14	24	capture	capture	VERB
ejpam-4549	14	25	the	the	DET
ejpam-4549	14	26	significance	significance	NOUN
ejpam-4549	14	27	of	of	ADP
ejpam-4549	14	28	couple	couple	NOUN
ejpam-4549	14	29	stresses	stress	NOUN
ejpam-4549	14	30	.	.	PUNCT
ejpam-4549	15	1	as	as	ADP
ejpam-4549	15	2	a	a	DET
ejpam-4549	15	3	generalization	generalization	NOUN
ejpam-4549	15	4	of	of	ADP
ejpam-4549	15	5	the	the	DET
ejpam-4549	15	6	traditional	traditional	ADJ
ejpam-4549	15	7	theory	theory	NOUN
ejpam-4549	15	8	of	of	ADP
ejpam-4549	15	9	fluids	fluid	NOUN
ejpam-4549	15	10	,	,	PUNCT
ejpam-4549	15	11	stokes	stokes	PROPN
ejpam-4549	15	12	microcontinuum	microcontinuum	PROPN
ejpam-4549	15	13	allows	allow	VERB
ejpam-4549	15	14	for	for	ADP
ejpam-4549	15	15	polar	polar	ADJ
ejpam-4549	15	16	impacts	impact	NOUN
ejpam-4549	15	17	,	,	PUNCT
ejpam-4549	15	18	such	such	ADJ
ejpam-4549	15	19	as	as	ADP
ejpam-4549	15	20	the	the	DET
ejpam-4549	15	21	existence	existence	NOUN
ejpam-4549	15	22	of	of	ADP
ejpam-4549	15	23	couple	couple	NOUN
ejpam-4549	15	24	∗corresponding	∗corresponde	VERB
ejpam-4549	15	25	author	author	NOUN
ejpam-4549	15	26	.	.	PUNCT
ejpam-4549	16	1	doi	doi	NOUN
ejpam-4549	16	2	:	:	PUNCT
ejpam-4549	16	3	https://doi.org/10.29020/nybg.ejpam.v15i4.4549	https://doi.org/10.29020/nybg.ejpam.v15i4.4549	PROPN
ejpam-4549	16	4	email	email	NOUN
ejpam-4549	16	5	address	address	NOUN
ejpam-4549	16	6	:	:	PUNCT
ejpam-4549	16	7	s	s	VERB
ejpam-4549	16	8	elsapa82@sci.dmu.edu.eg	elsapa82@sci.dmu.edu.eg	X
ejpam-4549	17	1	(	(	PUNCT
ejpam-4549	17	2	shreen	shreen	PROPN
ejpam-4549	17	3	el	el	PROPN
ejpam-4549	17	4	-	-	PUNCT
ejpam-4549	17	5	sapa	sapa	NOUN
ejpam-4549	17	6	)	)	PUNCT
ejpam-4549	17	7	,	,	PUNCT
ejpam-4549	17	8	aaalmoneef@pnu.edu.sa	aaalmoneef@pnu.edu.sa	PROPN
ejpam-4549	17	9	(	(	PUNCT
ejpam-4549	17	10	areej	areej	PROPN
ejpam-4549	17	11	a.	a.	PROPN
ejpam-4549	17	12	almoneef	almoneef	PROPN
ejpam-4549	17	13	)	)	PUNCT
ejpam-4549	17	14	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4549	18	1	1566	1566	NUM
ejpam-4549	19	1	©	©	PROPN
ejpam-4549	19	2	2022	2022	NUM
ejpam-4549	19	3	ejpam	ejpam	VERB
ejpam-4549	19	4	all	all	DET
ejpam-4549	19	5	rights	right	NOUN
ejpam-4549	19	6	reserved	reserve	VERB
ejpam-4549	19	7	.	.	PUNCT
ejpam-4549	20	1	shreen	shreen	PROPN
ejpam-4549	20	2	el	el	PROPN
ejpam-4549	20	3	-	-	PUNCT
ejpam-4549	20	4	sapa	sapa	PROPN
ejpam-4549	20	5	/	/	SYM
ejpam-4549	20	6	eur	eur	NOUN
ejpam-4549	20	7	.	.	PUNCT
ejpam-4549	21	1	j.	j.	PROPN
ejpam-4549	21	2	pure	pure	PROPN
ejpam-4549	21	3	appl	appl	PROPN
ejpam-4549	21	4	.	.	PROPN
ejpam-4549	21	5	math	math	PROPN
ejpam-4549	21	6	,	,	PUNCT
ejpam-4549	21	7	15	15	NUM
ejpam-4549	21	8	(	(	PUNCT
ejpam-4549	21	9	4	4	NUM
ejpam-4549	21	10	)	)	PUNCT
ejpam-4549	21	11	(	(	PUNCT
ejpam-4549	21	12	2022	2022	NUM
ejpam-4549	21	13	)	)	PUNCT
ejpam-4549	21	14	,	,	PUNCT
ejpam-4549	21	15	1566	1566	NUM
ejpam-4549	21	16	-	-	SYM
ejpam-4549	21	17	1592	1592	NUM
ejpam-4549	21	18	1567	1567	NUM
ejpam-4549	21	19	stresses	stress	NOUN
ejpam-4549	21	20	,	,	PUNCT
ejpam-4549	21	21	body	body	NOUN
ejpam-4549	21	22	couples	couple	NOUN
ejpam-4549	21	23	,	,	PUNCT
ejpam-4549	21	24	and	and	CCONJ
ejpam-4549	21	25	antisymmetric	antisymmetric	VERB
ejpam-4549	21	26	stress	stress	NOUN
ejpam-4549	21	27	tensors	tensor	NOUN
ejpam-4549	21	28	.	.	PUNCT
ejpam-4549	22	1	for	for	ADP
ejpam-4549	22	2	example	example	NOUN
ejpam-4549	22	3	,	,	PUNCT
ejpam-4549	22	4	in	in	ADP
ejpam-4549	22	5	pipe	pipe	NOUN
ejpam-4549	22	6	poiseuille	poiseuille	NOUN
ejpam-4549	22	7	flow	flow	NOUN
ejpam-4549	22	8	,	,	PUNCT
ejpam-4549	22	9	even	even	ADV
ejpam-4549	22	10	after	after	SCONJ
ejpam-4549	22	11	all	all	DET
ejpam-4549	22	12	the	the	DET
ejpam-4549	22	13	variables	variable	NOUN
ejpam-4549	22	14	have	have	AUX
ejpam-4549	22	15	been	be	AUX
ejpam-4549	22	16	nondimensionalized	nondimensionalize	VERB
ejpam-4549	22	17	in	in	ADP
ejpam-4549	22	18	the	the	DET
ejpam-4549	22	19	usual	usual	ADJ
ejpam-4549	22	20	way	way	NOUN
ejpam-4549	22	21	,	,	PUNCT
ejpam-4549	22	22	the	the	DET
ejpam-4549	22	23	velocity	velocity	NOUN
ejpam-4549	22	24	profile	profile	NOUN
ejpam-4549	22	25	is	be	AUX
ejpam-4549	22	26	a	a	DET
ejpam-4549	22	27	function	function	NOUN
ejpam-4549	22	28	of	of	ADP
ejpam-4549	22	29	the	the	DET
ejpam-4549	22	30	pipe	pipe	NOUN
ejpam-4549	22	31	radius	radius	NOUN
ejpam-4549	22	32	stokes[2	stokes[2	PROPN
ejpam-4549	22	33	]	]	PUNCT
ejpam-4549	22	34	.	.	PUNCT
ejpam-4549	23	1	thus	thus	ADV
ejpam-4549	23	2	,	,	PUNCT
ejpam-4549	23	3	couple	couple	NOUN
ejpam-4549	23	4	stresses	stress	NOUN
ejpam-4549	23	5	may	may	AUX
ejpam-4549	23	6	be	be	AUX
ejpam-4549	23	7	important	important	ADJ
ejpam-4549	23	8	under	under	ADP
ejpam-4549	23	9	lubrication	lubrication	NOUN
ejpam-4549	23	10	conditions	condition	NOUN
ejpam-4549	23	11	,	,	PUNCT
ejpam-4549	23	12	where	where	SCONJ
ejpam-4549	23	13	thin	thin	ADJ
ejpam-4549	23	14	films	film	NOUN
ejpam-4549	23	15	are	be	AUX
ejpam-4549	23	16	usually	usually	ADV
ejpam-4549	23	17	formed	form	VERB
ejpam-4549	23	18	.	.	PUNCT
ejpam-4549	24	1	additionally	additionally	ADV
ejpam-4549	24	2	,	,	PUNCT
ejpam-4549	24	3	the	the	DET
ejpam-4549	24	4	theory	theory	NOUN
ejpam-4549	24	5	of	of	ADP
ejpam-4549	24	6	couple	couple	NOUN
ejpam-4549	24	7	stress	stress	NOUN
ejpam-4549	24	8	fluid	fluid	NOUN
ejpam-4549	24	9	flow	flow	NOUN
ejpam-4549	24	10	introduces	introduce	NOUN
ejpam-4549	24	11	nonlinear	nonlinear	ADJ
ejpam-4549	24	12	terms	term	NOUN
ejpam-4549	24	13	in	in	ADP
ejpam-4549	24	14	the	the	DET
ejpam-4549	24	15	relationship	relationship	NOUN
ejpam-4549	24	16	between	between	ADP
ejpam-4549	24	17	shear	shear	NOUN
ejpam-4549	24	18	stresses	stress	NOUN
ejpam-4549	24	19	and	and	CCONJ
ejpam-4549	24	20	velocity	velocity	NOUN
ejpam-4549	24	21	gradients	gradient	NOUN
ejpam-4549	24	22	.	.	PUNCT
ejpam-4549	25	1	accordingly	accordingly	ADV
ejpam-4549	25	2	,	,	PUNCT
ejpam-4549	25	3	the	the	DET
ejpam-4549	25	4	lubricant	lubricant	NOUN
ejpam-4549	25	5	should	should	AUX
ejpam-4549	25	6	be	be	AUX
ejpam-4549	25	7	considered	consider	VERB
ejpam-4549	25	8	non	non	ADJ
ejpam-4549	25	9	-	-	ADJ
ejpam-4549	25	10	newtonian	newtonian	ADJ
ejpam-4549	25	11	and	and	CCONJ
ejpam-4549	25	12	described	describe	VERB
ejpam-4549	25	13	by	by	ADP
ejpam-4549	25	14	two	two	NUM
ejpam-4549	25	15	constants	constant	NOUN
ejpam-4549	25	16	,	,	PUNCT
ejpam-4549	25	17	shear	shear	NOUN
ejpam-4549	25	18	viscosity	viscosity	NOUN
ejpam-4549	25	19	,	,	PUNCT
ejpam-4549	25	20	and	and	CCONJ
ejpam-4549	25	21	couple	couple	NOUN
ejpam-4549	25	22	stress	stress	NOUN
ejpam-4549	25	23	.	.	PUNCT
ejpam-4549	26	1	therefore	therefore	ADV
ejpam-4549	26	2	,	,	PUNCT
ejpam-4549	26	3	elsharkawy	elsharkawy	NOUN
ejpam-4549	26	4	and	and	CCONJ
ejpam-4549	26	5	guedouar	guedouar	VERB
ejpam-4549	26	6	[	[	X
ejpam-4549	26	7	3	3	NUM
ejpam-4549	26	8	]	]	PUNCT
ejpam-4549	26	9	developed	develop	VERB
ejpam-4549	26	10	a	a	DET
ejpam-4549	26	11	reverse	reverse	ADJ
ejpam-4549	26	12	solution	solution	NOUN
ejpam-4549	26	13	for	for	ADP
ejpam-4549	26	14	finite	finite	ADJ
ejpam-4549	26	15	journal	journal	PROPN
ejpam-4549	26	16	bearings	bearing	NOUN
ejpam-4549	26	17	lubricated	lubricate	VERB
ejpam-4549	26	18	with	with	ADP
ejpam-4549	26	19	couple	couple	NOUN
ejpam-4549	26	20	stress	stress	NOUN
ejpam-4549	26	21	fluids	fluid	NOUN
ejpam-4549	26	22	to	to	PART
ejpam-4549	26	23	evaluate	evaluate	VERB
ejpam-4549	26	24	eccentricity	eccentricity	NOUN
ejpam-4549	26	25	proportion	proportion	NOUN
ejpam-4549	26	26	and	and	CCONJ
ejpam-4549	26	27	couple	couple	NOUN
ejpam-4549	26	28	stress	stress	NOUN
ejpam-4549	26	29	parameters	parameter	NOUN
ejpam-4549	26	30	for	for	ADP
ejpam-4549	26	31	an	an	DET
ejpam-4549	26	32	experimentally	experimentally	ADV
ejpam-4549	26	33	estimated	estimate	VERB
ejpam-4549	26	34	pressure	pressure	NOUN
ejpam-4549	26	35	diffusion	diffusion	NOUN
ejpam-4549	26	36	.	.	PUNCT
ejpam-4549	27	1	in	in	ADP
ejpam-4549	27	2	recent	recent	ADJ
ejpam-4549	27	3	years	year	NOUN
ejpam-4549	27	4	,	,	PUNCT
ejpam-4549	27	5	the	the	DET
ejpam-4549	27	6	interaction	interaction	NOUN
ejpam-4549	27	7	between	between	ADP
ejpam-4549	27	8	two	two	NUM
ejpam-4549	27	9	rigid	rigid	ADJ
ejpam-4549	27	10	spheres	sphere	NOUN
ejpam-4549	27	11	in	in	ADP
ejpam-4549	27	12	an	an	DET
ejpam-4549	27	13	incompressible	incompressible	ADJ
ejpam-4549	27	14	fluid	fluid	NOUN
ejpam-4549	27	15	flow	flow	NOUN
ejpam-4549	27	16	has	have	AUX
ejpam-4549	27	17	become	become	VERB
ejpam-4549	27	18	increasingly	increasingly	ADV
ejpam-4549	27	19	important	important	ADJ
ejpam-4549	27	20	[	[	X
ejpam-4549	27	21	4–8	4–8	X
ejpam-4549	27	22	]	]	X
ejpam-4549	27	23	and	and	CCONJ
ejpam-4549	27	24	[	[	X
ejpam-4549	27	25	9	9	NUM
ejpam-4549	27	26	]	]	PUNCT
ejpam-4549	27	27	.	.	PUNCT
ejpam-4549	28	1	furthermore	furthermore	ADV
ejpam-4549	28	2	,	,	PUNCT
ejpam-4549	28	3	oscillatory	oscillatory	ADJ
ejpam-4549	28	4	flows	flow	NOUN
ejpam-4549	28	5	allow	allow	VERB
ejpam-4549	28	6	one	one	PRON
ejpam-4549	28	7	to	to	PART
ejpam-4549	28	8	observe	observe	VERB
ejpam-4549	28	9	and	and	CCONJ
ejpam-4549	28	10	calculate	calculate	VERB
ejpam-4549	28	11	multiple	multiple	ADJ
ejpam-4549	28	12	elastic	elastic	ADJ
ejpam-4549	28	13	effects	effect	NOUN
ejpam-4549	28	14	of	of	ADP
ejpam-4549	28	15	dilute	dilute	ADJ
ejpam-4549	28	16	polymers	polymer	NOUN
ejpam-4549	28	17	in	in	ADP
ejpam-4549	28	18	a	a	DET
ejpam-4549	28	19	convenient	convenient	ADJ
ejpam-4549	28	20	manner	manner	NOUN
ejpam-4549	28	21	.	.	PUNCT
ejpam-4549	29	1	as	as	ADP
ejpam-4549	29	2	a	a	DET
ejpam-4549	29	3	result	result	NOUN
ejpam-4549	29	4	of	of	ADP
ejpam-4549	29	5	free	free	ADJ
ejpam-4549	29	6	stream	stream	NOUN
ejpam-4549	29	7	oscillations	oscillation	NOUN
ejpam-4549	29	8	,	,	PUNCT
ejpam-4549	29	9	important	important	ADJ
ejpam-4549	29	10	physical	physical	ADJ
ejpam-4549	29	11	problems	problem	NOUN
ejpam-4549	29	12	arise	arise	VERB
ejpam-4549	29	13	,	,	PUNCT
ejpam-4549	29	14	such	such	ADJ
ejpam-4549	29	15	as	as	ADP
ejpam-4549	29	16	[	[	X
ejpam-4549	29	17	10	10	NUM
ejpam-4549	29	18	,	,	PUNCT
ejpam-4549	29	19	11	11	NUM
ejpam-4549	29	20	]	]	PUNCT
ejpam-4549	29	21	.	.	PUNCT
ejpam-4549	30	1	further	far	ADV
ejpam-4549	30	2	,	,	PUNCT
ejpam-4549	30	3	slip	slip	NOUN
ejpam-4549	30	4	flow	flow	NOUN
ejpam-4549	30	5	is	be	AUX
ejpam-4549	30	6	more	more	ADV
ejpam-4549	30	7	practical	practical	ADJ
ejpam-4549	30	8	than	than	ADP
ejpam-4549	30	9	no	no	DET
ejpam-4549	30	10	-	-	PUNCT
ejpam-4549	30	11	slip	slip	NOUN
ejpam-4549	30	12	flow	flow	NOUN
ejpam-4549	30	13	(	(	PUNCT
ejpam-4549	30	14	slide	slide	NOUN
ejpam-4549	30	15	surface	surface	NOUN
ejpam-4549	30	16	,	,	PUNCT
ejpam-4549	30	17	flow	flow	VERB
ejpam-4549	30	18	through	through	ADP
ejpam-4549	30	19	wetted	wet	VERB
ejpam-4549	30	20	surface	surface	NOUN
ejpam-4549	30	21	,	,	PUNCT
ejpam-4549	30	22	brick	brick	NOUN
ejpam-4549	30	23	wall	wall	NOUN
ejpam-4549	30	24	)	)	PUNCT
ejpam-4549	30	25	.	.	PUNCT
ejpam-4549	31	1	it	it	PRON
ejpam-4549	31	2	plays	play	VERB
ejpam-4549	31	3	a	a	DET
ejpam-4549	31	4	significant	significant	ADJ
ejpam-4549	31	5	role	role	NOUN
ejpam-4549	31	6	to	to	PART
ejpam-4549	31	7	illustrate	illustrate	VERB
ejpam-4549	31	8	the	the	DET
ejpam-4549	31	9	macroscopic	macroscopic	ADJ
ejpam-4549	31	10	influences	influence	NOUN
ejpam-4549	31	11	in	in	ADP
ejpam-4549	31	12	the	the	DET
ejpam-4549	31	13	study	study	NOUN
ejpam-4549	31	14	of	of	ADP
ejpam-4549	31	15	fluid	fluid	NOUN
ejpam-4549	31	16	-	-	PUNCT
ejpam-4549	31	17	solid	solid	ADJ
ejpam-4549	31	18	surface	surface	NOUN
ejpam-4549	31	19	interactions	interaction	NOUN
ejpam-4549	31	20	when	when	SCONJ
ejpam-4549	31	21	fluid	fluid	ADJ
ejpam-4549	31	22	slips	slip	VERB
ejpam-4549	31	23	at	at	ADP
ejpam-4549	31	24	a	a	DET
ejpam-4549	31	25	rigid	rigid	ADJ
ejpam-4549	31	26	wall	wall	NOUN
ejpam-4549	31	27	.	.	PUNCT
ejpam-4549	32	1	it	it	PRON
ejpam-4549	32	2	is	be	AUX
ejpam-4549	32	3	assumed	assume	VERB
ejpam-4549	32	4	that	that	SCONJ
ejpam-4549	32	5	there	there	PRON
ejpam-4549	32	6	is	be	VERB
ejpam-4549	32	7	no	no	DET
ejpam-4549	32	8	slip	slip	NOUN
ejpam-4549	32	9	in	in	ADP
ejpam-4549	32	10	most	most	ADJ
ejpam-4549	32	11	investigations	investigation	NOUN
ejpam-4549	32	12	of	of	ADP
ejpam-4549	32	13	peristaltic	peristaltic	ADJ
ejpam-4549	32	14	flow	flow	NOUN
ejpam-4549	32	15	,	,	PUNCT
ejpam-4549	32	16	however	however	ADV
ejpam-4549	32	17	,	,	PUNCT
ejpam-4549	32	18	wall	wall	NOUN
ejpam-4549	32	19	slip	slip	NOUN
ejpam-4549	32	20	is	be	AUX
ejpam-4549	32	21	considered	consider	VERB
ejpam-4549	32	22	in	in	ADP
ejpam-4549	32	23	a	a	DET
ejpam-4549	32	24	few	few	ADJ
ejpam-4549	32	25	types	type	NOUN
ejpam-4549	32	26	of	of	ADP
ejpam-4549	32	27	research	research	NOUN
ejpam-4549	32	28	.	.	PUNCT
ejpam-4549	33	1	moreover	moreover	ADV
ejpam-4549	33	2	,	,	PUNCT
ejpam-4549	33	3	saad	saad	PROPN
ejpam-4549	33	4	[	[	X
ejpam-4549	33	5	12	12	NUM
ejpam-4549	33	6	]	]	PUNCT
ejpam-4549	33	7	solved	solve	VERB
ejpam-4549	33	8	multiple	multiple	ADJ
ejpam-4549	33	9	problems	problem	NOUN
ejpam-4549	33	10	such	such	ADJ
ejpam-4549	33	11	as	as	ADP
ejpam-4549	33	12	the	the	DET
ejpam-4549	33	13	unstable	unstable	ADJ
ejpam-4549	33	14	plane	plane	NOUN
ejpam-4549	33	15	couette	couette	NOUN
ejpam-4549	33	16	flow	flow	NOUN
ejpam-4549	33	17	of	of	ADP
ejpam-4549	33	18	an	an	DET
ejpam-4549	33	19	incompressible	incompressible	ADJ
ejpam-4549	33	20	couple	couple	NOUN
ejpam-4549	33	21	stress	stress	NOUN
ejpam-4549	33	22	fluid	fluid	NOUN
ejpam-4549	33	23	with	with	ADP
ejpam-4549	33	24	the	the	DET
ejpam-4549	33	25	slip	slip	NOUN
ejpam-4549	33	26	conditions	condition	NOUN
ejpam-4549	33	27	at	at	ADP
ejpam-4549	33	28	both	both	PRON
ejpam-4549	33	29	of	of	ADP
ejpam-4549	33	30	the	the	DET
ejpam-4549	33	31	plates	plate	NOUN
ejpam-4549	33	32	are	be	AUX
ejpam-4549	33	33	assumed	assume	VERB
ejpam-4549	33	34	to	to	PART
ejpam-4549	33	35	be	be	AUX
ejpam-4549	33	36	of	of	ADP
ejpam-4549	33	37	different	different	ADJ
ejpam-4549	33	38	parameters	parameter	NOUN
ejpam-4549	33	39	and	and	CCONJ
ejpam-4549	33	40	couple	couple	NOUN
ejpam-4549	33	41	stresses	stress	NOUN
ejpam-4549	33	42	at	at	ADP
ejpam-4549	33	43	the	the	DET
ejpam-4549	33	44	boundaries	boundary	NOUN
ejpam-4549	33	45	are	be	AUX
ejpam-4549	33	46	not	not	PART
ejpam-4549	33	47	present	present	ADJ
ejpam-4549	33	48	,	,	PUNCT
ejpam-4549	33	49	the	the	DET
ejpam-4549	33	50	application	application	NOUN
ejpam-4549	33	51	of	of	ADP
ejpam-4549	33	52	a	a	DET
ejpam-4549	33	53	time	time	NOUN
ejpam-4549	33	54	-	-	PUNCT
ejpam-4549	33	55	dependent	dependent	ADJ
ejpam-4549	33	56	pressure	pressure	NOUN
ejpam-4549	33	57	gradient	gradient	NOUN
ejpam-4549	33	58	under	under	ADP
ejpam-4549	33	59	the	the	DET
ejpam-4549	33	60	assumptions	assumption	NOUN
ejpam-4549	33	61	of	of	ADP
ejpam-4549	33	62	the	the	DET
ejpam-4549	33	63	slip	slip	NOUN
ejpam-4549	33	64	conditions	condition	NOUN
ejpam-4549	33	65	and	and	CCONJ
ejpam-4549	33	66	the	the	DET
ejpam-4549	33	67	zero	zero	NUM
ejpam-4549	33	68	couple	couple	NOUN
ejpam-4549	33	69	stresses	stress	NOUN
ejpam-4549	33	70	at	at	ADP
ejpam-4549	33	71	the	the	DET
ejpam-4549	33	72	two	two	NUM
ejpam-4549	33	73	boundaries	boundary	NOUN
ejpam-4549	33	74	,	,	PUNCT
ejpam-4549	33	75	and	and	CCONJ
ejpam-4549	33	76	the	the	DET
ejpam-4549	33	77	unsteady	unsteady	ADJ
ejpam-4549	33	78	poiseuille	poiseuille	NOUN
ejpam-4549	33	79	flow	flow	NOUN
ejpam-4549	33	80	of	of	ADP
ejpam-4549	33	81	an	an	DET
ejpam-4549	33	82	incompressible	incompressible	ADJ
ejpam-4549	33	83	couple	couple	NOUN
ejpam-4549	33	84	stress	stress	NOUN
ejpam-4549	33	85	fluid	fluid	NOUN
ejpam-4549	33	86	inside	inside	ADP
ejpam-4549	33	87	an	an	DET
ejpam-4549	33	88	infinite	infinite	ADJ
ejpam-4549	33	89	cylinder	cylinder	NOUN
ejpam-4549	33	90	.	.	PUNCT
ejpam-4549	34	1	moreover	moreover	ADV
ejpam-4549	34	2	,	,	PUNCT
ejpam-4549	34	3	saad	saad	PROPN
ejpam-4549	34	4	and	and	CCONJ
ejpam-4549	34	5	ashmawy	ashmawy	PROPN
ejpam-4549	35	1	[	[	X
ejpam-4549	35	2	13	13	NUM
ejpam-4549	35	3	]	]	PUNCT
ejpam-4549	35	4	investigated	investigate	VERB
ejpam-4549	35	5	the	the	DET
ejpam-4549	35	6	advective	advective	ADJ
ejpam-4549	35	7	flow	flow	NOUN
ejpam-4549	35	8	of	of	ADP
ejpam-4549	35	9	an	an	DET
ejpam-4549	35	10	incompressible	incompressible	ADJ
ejpam-4549	35	11	couple	couple	NOUN
ejpam-4549	35	12	stress	stress	NOUN
ejpam-4549	35	13	fluid	fluid	NOUN
ejpam-4549	35	14	between	between	ADP
ejpam-4549	35	15	two	two	NUM
ejpam-4549	35	16	parallel	parallel	ADJ
ejpam-4549	35	17	plates	plate	NOUN
ejpam-4549	35	18	with	with	ADP
ejpam-4549	35	19	slip	slip	NOUN
ejpam-4549	35	20	boundary	boundary	ADJ
ejpam-4549	35	21	conditions	condition	NOUN
ejpam-4549	35	22	put	put	VERB
ejpam-4549	35	23	on	on	ADP
ejpam-4549	35	24	the	the	DET
ejpam-4549	35	25	two	two	NUM
ejpam-4549	35	26	plates	plate	NOUN
ejpam-4549	35	27	and	and	CCONJ
ejpam-4549	35	28	vanishing	vanish	VERB
ejpam-4549	35	29	couple	couple	NOUN
ejpam-4549	35	30	stress	stress	NOUN
ejpam-4549	35	31	conditions	condition	NOUN
ejpam-4549	35	32	at	at	ADP
ejpam-4549	35	33	the	the	DET
ejpam-4549	35	34	interfaces	interface	NOUN
ejpam-4549	35	35	.	.	PUNCT
ejpam-4549	36	1	the	the	DET
ejpam-4549	36	2	fluid	fluid	ADJ
ejpam-4549	36	3	dynamical	dynamical	ADJ
ejpam-4549	36	4	process	process	NOUN
ejpam-4549	36	5	that	that	PRON
ejpam-4549	36	6	takes	take	VERB
ejpam-4549	36	7	place	place	NOUN
ejpam-4549	36	8	in	in	ADP
ejpam-4549	36	9	many	many	ADJ
ejpam-4549	36	10	body	body	NOUN
ejpam-4549	36	11	organs	organ	NOUN
ejpam-4549	36	12	,	,	PUNCT
ejpam-4549	36	13	including	include	VERB
ejpam-4549	36	14	vascular	vascular	ADJ
ejpam-4549	36	15	beds	bed	NOUN
ejpam-4549	36	16	,	,	PUNCT
ejpam-4549	36	17	lungs	lung	NOUN
ejpam-4549	36	18	,	,	PUNCT
ejpam-4549	36	19	kidneys	kidney	NOUN
ejpam-4549	36	20	,	,	PUNCT
ejpam-4549	36	21	and	and	CCONJ
ejpam-4549	36	22	tumorous	tumorous	ADJ
ejpam-4549	36	23	vessels	vessel	NOUN
ejpam-4549	36	24	,	,	PUNCT
ejpam-4549	36	25	must	must	AUX
ejpam-4549	36	26	also	also	ADV
ejpam-4549	36	27	be	be	AUX
ejpam-4549	36	28	explained	explain	VERB
ejpam-4549	36	29	adequately	adequately	ADV
ejpam-4549	36	30	,	,	PUNCT
ejpam-4549	36	31	which	which	PRON
ejpam-4549	36	32	makes	make	VERB
ejpam-4549	36	33	study	study	NOUN
ejpam-4549	36	34	of	of	ADP
ejpam-4549	36	35	porosity	porosity	NOUN
ejpam-4549	36	36	absolutely	absolutely	ADV
ejpam-4549	36	37	essential	essential	ADJ
ejpam-4549	36	38	.	.	PUNCT
ejpam-4549	37	1	the	the	DET
ejpam-4549	37	2	porosity	porosity	NOUN
ejpam-4549	37	3	of	of	ADP
ejpam-4549	37	4	the	the	DET
ejpam-4549	37	5	media	medium	NOUN
ejpam-4549	37	6	also	also	ADV
ejpam-4549	37	7	plays	play	VERB
ejpam-4549	37	8	a	a	DET
ejpam-4549	37	9	crucial	crucial	ADJ
ejpam-4549	37	10	role	role	NOUN
ejpam-4549	37	11	in	in	ADP
ejpam-4549	37	12	many	many	ADJ
ejpam-4549	37	13	biomechanical	biomechanical	ADJ
ejpam-4549	37	14	investigations	investigation	NOUN
ejpam-4549	37	15	in	in	ADP
ejpam-4549	37	16	determining	determine	VERB
ejpam-4549	37	17	the	the	DET
ejpam-4549	37	18	fluid	fluid	ADJ
ejpam-4549	37	19	transport	transport	NOUN
ejpam-4549	37	20	.	.	PUNCT
ejpam-4549	38	1	parallel	parallel	ADJ
ejpam-4549	38	2	flows	flow	NOUN
ejpam-4549	38	3	of	of	ADP
ejpam-4549	38	4	fluids	fluid	NOUN
ejpam-4549	38	5	with	with	ADP
ejpam-4549	38	6	various	various	ADJ
ejpam-4549	38	7	viscosities	viscosity	NOUN
ejpam-4549	38	8	and	and	CCONJ
ejpam-4549	38	9	densities	density	NOUN
ejpam-4549	38	10	through	through	ADP
ejpam-4549	38	11	porous	porous	ADJ
ejpam-4549	38	12	media	medium	NOUN
ejpam-4549	38	13	are	be	AUX
ejpam-4549	38	14	a	a	DET
ejpam-4549	38	15	common	common	ADJ
ejpam-4549	38	16	feature	feature	NOUN
ejpam-4549	38	17	of	of	ADP
ejpam-4549	38	18	technical	technical	ADJ
ejpam-4549	38	19	procedures	procedure	NOUN
ejpam-4549	38	20	.	.	PUNCT
ejpam-4549	39	1	similar	similar	ADJ
ejpam-4549	39	2	parallel	parallel	ADJ
ejpam-4549	39	3	flows	flow	NOUN
ejpam-4549	39	4	can	can	AUX
ejpam-4549	39	5	be	be	AUX
ejpam-4549	39	6	seen	see	VERB
ejpam-4549	39	7	in	in	ADP
ejpam-4549	39	8	packed	packed	ADJ
ejpam-4549	39	9	bed	bed	NOUN
ejpam-4549	39	10	reactors	reactor	NOUN
ejpam-4549	39	11	used	use	VERB
ejpam-4549	39	12	in	in	ADP
ejpam-4549	39	13	the	the	DET
ejpam-4549	39	14	chemical	chemical	NOUN
ejpam-4549	39	15	industry	industry	NOUN
ejpam-4549	39	16	,	,	PUNCT
ejpam-4549	39	17	petroleum	petroleum	NOUN
ejpam-4549	39	18	production	production	NOUN
ejpam-4549	39	19	engineering	engineering	NOUN
ejpam-4549	39	20	,	,	PUNCT
ejpam-4549	39	21	sedimentation	sedimentation	NOUN
ejpam-4549	39	22	,	,	PUNCT
ejpam-4549	39	23	diluted	diluted	ADJ
ejpam-4549	39	24	polymers	polymer	NOUN
ejpam-4549	39	25	,	,	PUNCT
ejpam-4549	39	26	suspensions	suspension	NOUN
ejpam-4549	39	27	,	,	PUNCT
ejpam-4549	39	28	journal	journal	NOUN
ejpam-4549	39	29	bearing	bear	VERB
ejpam-4549	39	30	lubrication	lubrication	NOUN
ejpam-4549	39	31	,	,	PUNCT
ejpam-4549	39	32	and	and	CCONJ
ejpam-4549	39	33	many	many	ADJ
ejpam-4549	39	34	other	other	ADJ
ejpam-4549	39	35	processes	process	NOUN
ejpam-4549	39	36	.	.	PUNCT
ejpam-4549	40	1	to	to	PART
ejpam-4549	40	2	model	model	VERB
ejpam-4549	40	3	flow	flow	NOUN
ejpam-4549	40	4	across	across	ADP
ejpam-4549	40	5	porous	porous	ADJ
ejpam-4549	40	6	media	medium	NOUN
ejpam-4549	40	7	,	,	PUNCT
ejpam-4549	40	8	brinkman	brinkman	NOUN
ejpam-4549	40	9	[	[	X
ejpam-4549	40	10	14	14	NUM
ejpam-4549	40	11	]	]	PUNCT
ejpam-4549	40	12	established	establish	VERB
ejpam-4549	40	13	a	a	DET
ejpam-4549	40	14	momentum	momentum	NOUN
ejpam-4549	40	15	equation	equation	NOUN
ejpam-4549	40	16	with	with	ADP
ejpam-4549	40	17	a	a	DET
ejpam-4549	40	18	newtonian	newtonian	ADJ
ejpam-4549	40	19	viscous	viscous	ADJ
ejpam-4549	40	20	drag	drag	NOUN
ejpam-4549	40	21	term	term	NOUN
ejpam-4549	40	22	and	and	CCONJ
ejpam-4549	40	23	a	a	DET
ejpam-4549	40	24	darcy	darcy	PROPN
ejpam-4549	40	25	drag	drag	PROPN
ejpam-4549	40	26	term	term	NOUN
ejpam-4549	40	27	,	,	PUNCT
ejpam-4549	40	28	which	which	PRON
ejpam-4549	40	29	together	together	ADV
ejpam-4549	40	30	balance	balance	VERB
ejpam-4549	40	31	the	the	DET
ejpam-4549	40	32	pressure	pressure	NOUN
ejpam-4549	40	33	gradient	gradient	NOUN
ejpam-4549	40	34	.	.	PUNCT
ejpam-4549	41	1	when	when	SCONJ
ejpam-4549	41	2	the	the	DET
ejpam-4549	41	3	permeability	permeability	NOUN
ejpam-4549	41	4	of	of	ADP
ejpam-4549	41	5	the	the	DET
ejpam-4549	41	6	medium	medium	ADJ
ejpam-4549	41	7	approaches	approach	NOUN
ejpam-4549	41	8	0	0	NUM
ejpam-4549	41	9	,	,	PUNCT
ejpam-4549	41	10	the	the	DET
ejpam-4549	41	11	brinkman	brinkman	PROPN
ejpam-4549	41	12	equation	equation	NOUN
ejpam-4549	41	13	becomes	become	VERB
ejpam-4549	41	14	the	the	DET
ejpam-4549	41	15	darcy	darcy	PROPN
ejpam-4549	41	16	equation	equation	NOUN
ejpam-4549	41	17	,	,	PUNCT
ejpam-4549	41	18	and	and	CCONJ
ejpam-4549	41	19	when	when	SCONJ
ejpam-4549	41	20	the	the	DET
ejpam-4549	41	21	permeability	permeability	NOUN
ejpam-4549	41	22	approaches	approach	VERB
ejpam-4549	41	23	infinity	infinity	NOUN
ejpam-4549	41	24	,	,	PUNCT
ejpam-4549	41	25	it	it	PRON
ejpam-4549	41	26	becomes	become	VERB
ejpam-4549	41	27	shreen	shreen	PROPN
ejpam-4549	41	28	el	el	PROPN
ejpam-4549	41	29	-	-	PUNCT
ejpam-4549	41	30	sapa	sapa	PROPN
ejpam-4549	41	31	/	/	SYM
ejpam-4549	41	32	eur	eur	NOUN
ejpam-4549	41	33	.	.	PUNCT
ejpam-4549	42	1	j.	j.	PROPN
ejpam-4549	42	2	pure	pure	PROPN
ejpam-4549	42	3	appl	appl	PROPN
ejpam-4549	42	4	.	.	PROPN
ejpam-4549	42	5	math	math	PROPN
ejpam-4549	42	6	,	,	PUNCT
ejpam-4549	42	7	15	15	NUM
ejpam-4549	42	8	(	(	PUNCT
ejpam-4549	42	9	4	4	NUM
ejpam-4549	42	10	)	)	PUNCT
ejpam-4549	42	11	(	(	PUNCT
ejpam-4549	42	12	2022	2022	NUM
ejpam-4549	42	13	)	)	PUNCT
ejpam-4549	42	14	,	,	PUNCT
ejpam-4549	42	15	1566	1566	NUM
ejpam-4549	42	16	-	-	SYM
ejpam-4549	42	17	1592	1592	NUM
ejpam-4549	42	18	1568	1568	NUM
ejpam-4549	42	19	the	the	DET
ejpam-4549	42	20	stokes	stoke	NOUN
ejpam-4549	42	21	equation	equation	NOUN
ejpam-4549	42	22	.	.	PUNCT
ejpam-4549	43	1	the	the	DET
ejpam-4549	43	2	equation	equation	NOUN
ejpam-4549	43	3	has	have	AUX
ejpam-4549	43	4	been	be	AUX
ejpam-4549	43	5	widely	widely	ADV
ejpam-4549	43	6	used	use	VERB
ejpam-4549	43	7	to	to	PART
ejpam-4549	43	8	assess	assess	VERB
ejpam-4549	43	9	porous	porous	ADJ
ejpam-4549	43	10	media	medium	NOUN
ejpam-4549	43	11	with	with	ADP
ejpam-4549	43	12	high	high	ADJ
ejpam-4549	43	13	porosity	porosity	NOUN
ejpam-4549	43	14	,	,	PUNCT
ejpam-4549	43	15	such	such	ADJ
ejpam-4549	43	16	as	as	ADP
ejpam-4549	43	17	fiberglass	fiberglass	NOUN
ejpam-4549	43	18	wool	wool	NOUN
ejpam-4549	43	19	.	.	PUNCT
ejpam-4549	44	1	sharma	sharma	PROPN
ejpam-4549	44	2	and	and	CCONJ
ejpam-4549	44	3	thakur	thakur	PROPN
ejpam-4549	45	1	[	[	X
ejpam-4549	45	2	15	15	NUM
ejpam-4549	45	3	]	]	PUNCT
ejpam-4549	45	4	assumed	assume	VERB
ejpam-4549	45	5	a	a	DET
ejpam-4549	45	6	layer	layer	NOUN
ejpam-4549	45	7	of	of	ADP
ejpam-4549	45	8	electrically	electrically	ADV
ejpam-4549	45	9	conducting	conduct	VERB
ejpam-4549	45	10	couple	couple	NOUN
ejpam-4549	45	11	stress	stress	NOUN
ejpam-4549	45	12	fluid	fluid	NOUN
ejpam-4549	45	13	warmed	warm	VERB
ejpam-4549	45	14	from	from	ADP
ejpam-4549	45	15	beneath	beneath	ADP
ejpam-4549	45	16	in	in	ADP
ejpam-4549	45	17	a	a	DET
ejpam-4549	45	18	permeable	permeable	ADJ
ejpam-4549	45	19	medium	medium	NOUN
ejpam-4549	45	20	in	in	ADP
ejpam-4549	45	21	the	the	DET
ejpam-4549	45	22	existence	existence	NOUN
ejpam-4549	45	23	of	of	ADP
ejpam-4549	45	24	the	the	DET
ejpam-4549	45	25	magnetic	magnetic	ADJ
ejpam-4549	45	26	field	field	NOUN
ejpam-4549	45	27	.	.	PUNCT
ejpam-4549	46	1	alsaedi	alsaedi	PROPN
ejpam-4549	46	2	et	et	PROPN
ejpam-4549	46	3	al	al	PROPN
ejpam-4549	46	4	.	.	PUNCT
ejpam-4549	47	1	[	[	X
ejpam-4549	47	2	16	16	NUM
ejpam-4549	47	3	]	]	PUNCT
ejpam-4549	47	4	analyzed	analyze	VERB
ejpam-4549	47	5	the	the	DET
ejpam-4549	47	6	peristaltic	peristaltic	ADJ
ejpam-4549	47	7	motion	motion	NOUN
ejpam-4549	47	8	of	of	ADP
ejpam-4549	47	9	a	a	DET
ejpam-4549	47	10	couple	couple	NOUN
ejpam-4549	47	11	stress	stress	NOUN
ejpam-4549	47	12	fluids	fluid	NOUN
ejpam-4549	47	13	occupying	occupy	VERB
ejpam-4549	47	14	the	the	DET
ejpam-4549	47	15	porous	porous	ADJ
ejpam-4549	47	16	medium	medium	NOUN
ejpam-4549	47	17	through	through	ADP
ejpam-4549	47	18	large	large	ADJ
ejpam-4549	47	19	wavelength	wavelength	NOUN
ejpam-4549	47	20	and	and	CCONJ
ejpam-4549	47	21	low	low	ADJ
ejpam-4549	47	22	reynolds	reynolds	PROPN
ejpam-4549	47	23	number	number	NOUN
ejpam-4549	47	24	.	.	PUNCT
ejpam-4549	48	1	opanuga	opanuga	PROPN
ejpam-4549	48	2	et	et	PROPN
ejpam-4549	48	3	al	al	PROPN
ejpam-4549	48	4	.	.	PUNCT
ejpam-4549	49	1	[	[	X
ejpam-4549	49	2	17	17	NUM
ejpam-4549	49	3	]	]	PUNCT
ejpam-4549	49	4	studied	study	VERB
ejpam-4549	49	5	the	the	DET
ejpam-4549	49	6	second	second	ADJ
ejpam-4549	49	7	law	law	NOUN
ejpam-4549	49	8	analysis	analysis	NOUN
ejpam-4549	49	9	of	of	ADP
ejpam-4549	49	10	hydromagnetic	hydromagnetic	ADJ
ejpam-4549	49	11	couple	couple	NOUN
ejpam-4549	49	12	stress	stress	NOUN
ejpam-4549	49	13	fluid	fluid	NOUN
ejpam-4549	49	14	via	via	ADP
ejpam-4549	49	15	a	a	DET
ejpam-4549	49	16	channel	channel	NOUN
ejpam-4549	49	17	supplied	supply	VERB
ejpam-4549	49	18	with	with	ADP
ejpam-4549	49	19	non	non	PROPN
ejpam-4549	49	20	darcian	darcian	PROPN
ejpam-4549	49	21	permeable	permeable	ADJ
ejpam-4549	49	22	medium	medium	NOUN
ejpam-4549	49	23	beneath	beneath	ADP
ejpam-4549	49	24	the	the	DET
ejpam-4549	49	25	heat	heat	NOUN
ejpam-4549	49	26	of	of	ADP
ejpam-4549	49	27	the	the	DET
ejpam-4549	49	28	fluid	fluid	ADJ
ejpam-4549	49	29	exchanges	exchange	NOUN
ejpam-4549	49	30	with	with	ADP
ejpam-4549	49	31	the	the	DET
ejpam-4549	49	32	ambient	ambient	NOUN
ejpam-4549	49	33	following	follow	VERB
ejpam-4549	49	34	newtonian	newtonian	ADJ
ejpam-4549	49	35	law	law	NOUN
ejpam-4549	49	36	.	.	PUNCT
ejpam-4549	50	1	the	the	DET
ejpam-4549	50	2	thermal	thermal	ADJ
ejpam-4549	50	3	fluctuation	fluctuation	NOUN
ejpam-4549	50	4	in	in	ADP
ejpam-4549	50	5	a	a	DET
ejpam-4549	50	6	layer	layer	NOUN
ejpam-4549	50	7	of	of	ADP
ejpam-4549	50	8	couple	couple	NOUN
ejpam-4549	50	9	stress	stress	NOUN
ejpam-4549	50	10	nanofluid	nanofluid	ADJ
ejpam-4549	50	11	saturated	saturate	VERB
ejpam-4549	50	12	permeable	permeable	ADJ
ejpam-4549	50	13	medium	medium	NOUN
ejpam-4549	50	14	was	be	AUX
ejpam-4549	50	15	studied	study	VERB
ejpam-4549	50	16	by	by	ADP
ejpam-4549	50	17	chand	chand	PROPN
ejpam-4549	50	18	et	et	PROPN
ejpam-4549	50	19	al	al	PROPN
ejpam-4549	51	1	[	[	X
ejpam-4549	51	2	18	18	NUM
ejpam-4549	51	3	]	]	PUNCT
ejpam-4549	51	4	.	.	PUNCT
ejpam-4549	52	1	yadav	yadav	PROPN
ejpam-4549	52	2	et	et	PROPN
ejpam-4549	52	3	al	al	PROPN
ejpam-4549	53	1	[	[	X
ejpam-4549	53	2	19	19	NUM
ejpam-4549	53	3	]	]	PUNCT
ejpam-4549	53	4	introduced	introduce	VERB
ejpam-4549	53	5	the	the	DET
ejpam-4549	53	6	collaborative	collaborative	ADJ
ejpam-4549	53	7	impact	impact	NOUN
ejpam-4549	53	8	of	of	ADP
ejpam-4549	53	9	temperature	temperature	NOUN
ejpam-4549	53	10	-	-	PUNCT
ejpam-4549	53	11	reliant	reliant	ADJ
ejpam-4549	53	12	viscosity	viscosity	NOUN
ejpam-4549	53	13	and	and	CCONJ
ejpam-4549	53	14	interior	interior	ADJ
ejpam-4549	53	15	heat	heat	NOUN
ejpam-4549	53	16	generation	generation	NOUN
ejpam-4549	53	17	on	on	ADP
ejpam-4549	53	18	the	the	DET
ejpam-4549	53	19	impression	impression	NOUN
ejpam-4549	53	20	of	of	ADP
ejpam-4549	53	21	convective	convective	ADJ
ejpam-4549	53	22	movement	movement	NOUN
ejpam-4549	53	23	in	in	ADP
ejpam-4549	53	24	couple	couple	NOUN
ejpam-4549	53	25	stress	stress	NOUN
ejpam-4549	53	26	fluids	fluid	NOUN
ejpam-4549	53	27	saturated	saturate	VERB
ejpam-4549	53	28	in	in	ADP
ejpam-4549	53	29	a	a	DET
ejpam-4549	53	30	thin	thin	ADJ
ejpam-4549	53	31	porous	porous	ADJ
ejpam-4549	53	32	layer	layer	NOUN
ejpam-4549	53	33	by	by	ADP
ejpam-4549	53	34	utilizing	utilize	VERB
ejpam-4549	53	35	the	the	DET
ejpam-4549	53	36	linear	linear	ADJ
ejpam-4549	53	37	stability	stability	NOUN
ejpam-4549	53	38	principles	principle	NOUN
ejpam-4549	53	39	.	.	PUNCT
ejpam-4549	54	1	there	there	PRON
ejpam-4549	54	2	are	be	VERB
ejpam-4549	54	3	multi	multi	ADJ
ejpam-4549	54	4	applications	application	NOUN
ejpam-4549	54	5	on	on	ADP
ejpam-4549	54	6	porous	porous	ADJ
ejpam-4549	54	7	medium	medium	ADJ
ejpam-4549	54	8	and	and	CCONJ
ejpam-4549	54	9	magnetic	magnetic	ADJ
ejpam-4549	54	10	field	field	NOUN
ejpam-4549	54	11	such	such	ADJ
ejpam-4549	54	12	as	as	ADP
ejpam-4549	54	13	[	[	X
ejpam-4549	54	14	20–28	20–28	NOUN
ejpam-4549	54	15	]	]	PUNCT
ejpam-4549	54	16	.	.	PUNCT
ejpam-4549	55	1	thus	thus	ADV
ejpam-4549	55	2	,	,	PUNCT
ejpam-4549	55	3	the	the	DET
ejpam-4549	55	4	objective	objective	NOUN
ejpam-4549	55	5	of	of	ADP
ejpam-4549	55	6	the	the	DET
ejpam-4549	55	7	current	current	ADJ
ejpam-4549	55	8	study	study	NOUN
ejpam-4549	55	9	is	be	AUX
ejpam-4549	55	10	to	to	PART
ejpam-4549	55	11	examine	examine	VERB
ejpam-4549	55	12	the	the	DET
ejpam-4549	55	13	regular	regular	ADJ
ejpam-4549	55	14	translational	translational	ADJ
ejpam-4549	55	15	movement	movement	NOUN
ejpam-4549	55	16	of	of	ADP
ejpam-4549	55	17	a	a	DET
ejpam-4549	55	18	solid	solid	ADJ
ejpam-4549	55	19	sphere	sphere	NOUN
ejpam-4549	55	20	immersed	immerse	VERB
ejpam-4549	55	21	in	in	ADP
ejpam-4549	55	22	an	an	DET
ejpam-4549	55	23	incompressible	incompressible	ADJ
ejpam-4549	55	24	couple	couple	NOUN
ejpam-4549	55	25	stress	stress	NOUN
ejpam-4549	55	26	fluid	fluid	NOUN
ejpam-4549	55	27	with	with	ADP
ejpam-4549	55	28	a	a	DET
ejpam-4549	55	29	slip	slip	NOUN
ejpam-4549	55	30	regime	regime	NOUN
ejpam-4549	55	31	and	and	CCONJ
ejpam-4549	55	32	slip	slip	NOUN
ejpam-4549	55	33	-	-	PUNCT
ejpam-4549	55	34	spin	spin	NOUN
ejpam-4549	55	35	while	while	SCONJ
ejpam-4549	55	36	also	also	ADV
ejpam-4549	55	37	getting	get	VERB
ejpam-4549	55	38	the	the	DET
ejpam-4549	55	39	fundamental	fundamental	ADJ
ejpam-4549	55	40	relationships	relationship	NOUN
ejpam-4549	55	41	analytically	analytically	ADV
ejpam-4549	55	42	.	.	PUNCT
ejpam-4549	56	1	the	the	DET
ejpam-4549	56	2	solution	solution	NOUN
ejpam-4549	56	3	of	of	ADP
ejpam-4549	56	4	the	the	DET
ejpam-4549	56	5	equation	equation	NOUN
ejpam-4549	56	6	of	of	ADP
ejpam-4549	56	7	momentum	momentum	NOUN
ejpam-4549	56	8	has	have	AUX
ejpam-4549	56	9	been	be	AUX
ejpam-4549	56	10	created	create	VERB
ejpam-4549	56	11	analytically	analytically	ADV
ejpam-4549	56	12	in	in	ADP
ejpam-4549	56	13	terms	term	NOUN
ejpam-4549	56	14	of	of	ADP
ejpam-4549	56	15	a	a	DET
ejpam-4549	56	16	spherical	spherical	ADJ
ejpam-4549	56	17	coordinate	coordinate	NOUN
ejpam-4549	56	18	system	system	NOUN
ejpam-4549	56	19	.	.	PUNCT
ejpam-4549	57	1	the	the	DET
ejpam-4549	57	2	assessed	assessed	ADJ
ejpam-4549	57	3	boundary	boundary	ADJ
ejpam-4549	57	4	conditions	condition	NOUN
ejpam-4549	57	5	are	be	AUX
ejpam-4549	57	6	then	then	ADV
ejpam-4549	57	7	satisfied	satisfied	ADJ
ejpam-4549	57	8	on	on	ADP
ejpam-4549	57	9	the	the	DET
ejpam-4549	57	10	solid	solid	ADJ
ejpam-4549	57	11	sphere	sphere	NOUN
ejpam-4549	57	12	surface	surface	NOUN
ejpam-4549	57	13	.	.	PUNCT
ejpam-4549	58	1	the	the	DET
ejpam-4549	58	2	drag	drag	NOUN
ejpam-4549	58	3	force	force	NOUN
ejpam-4549	58	4	of	of	ADP
ejpam-4549	58	5	the	the	DET
ejpam-4549	58	6	fluid	fluid	ADJ
ejpam-4549	58	7	flow	flow	NOUN
ejpam-4549	58	8	on	on	ADP
ejpam-4549	58	9	the	the	DET
ejpam-4549	58	10	rigid	rigid	ADJ
ejpam-4549	58	11	sphere	sphere	NOUN
ejpam-4549	58	12	is	be	AUX
ejpam-4549	58	13	then	then	ADV
ejpam-4549	58	14	calculated	calculate	VERB
ejpam-4549	58	15	numerically	numerically	ADV
ejpam-4549	58	16	and	and	CCONJ
ejpam-4549	58	17	represented	represent	VERB
ejpam-4549	58	18	graphically	graphically	ADV
ejpam-4549	58	19	for	for	ADP
ejpam-4549	58	20	various	various	ADJ
ejpam-4549	58	21	values	value	NOUN
ejpam-4549	58	22	of	of	ADP
ejpam-4549	58	23	the	the	DET
ejpam-4549	58	24	physical	physical	ADJ
ejpam-4549	58	25	relevant	relevant	ADJ
ejpam-4549	58	26	parameters	parameter	NOUN
ejpam-4549	58	27	and	and	CCONJ
ejpam-4549	58	28	also	also	ADV
ejpam-4549	58	29	two	two	NUM
ejpam-4549	58	30	special	special	ADJ
ejpam-4549	58	31	cases	case	NOUN
ejpam-4549	58	32	,	,	PUNCT
ejpam-4549	58	33	case	case	NOUN
ejpam-4549	58	34	i	i	PRON
ejpam-4549	58	35	:	:	PUNCT
ejpam-4549	58	36	perfect	perfect	ADJ
ejpam-4549	58	37	slip	slip	NOUN
ejpam-4549	58	38	and	and	CCONJ
ejpam-4549	58	39	spin	spin	NOUN
ejpam-4549	58	40	-	-	PUNCT
ejpam-4549	58	41	slip	slip	NOUN
ejpam-4549	58	42	,	,	PUNCT
ejpam-4549	58	43	and	and	CCONJ
ejpam-4549	58	44	case	case	NOUN
ejpam-4549	58	45	ii	ii	PROPN
ejpam-4549	58	46	:	:	PUNCT
ejpam-4549	58	47	no	no	DET
ejpam-4549	58	48	-	-	PUNCT
ejpam-4549	58	49	slip	slip	NOUN
ejpam-4549	58	50	and	and	CCONJ
ejpam-4549	58	51	no	no	DET
ejpam-4549	58	52	-	-	PUNCT
ejpam-4549	58	53	spin	spin	NOUN
ejpam-4549	58	54	slip	slip	NOUN
ejpam-4549	58	55	.	.	PUNCT
ejpam-4549	59	1	2	2	X
ejpam-4549	59	2	.	.	X
ejpam-4549	59	3	mathematical	mathematical	ADJ
ejpam-4549	59	4	formulation	formulation	NOUN
ejpam-4549	59	5	of	of	ADP
ejpam-4549	59	6	the	the	DET
ejpam-4549	59	7	problem	problem	NOUN
ejpam-4549	59	8	fig	fig	NOUN
ejpam-4549	59	9	.	.	PUNCT
ejpam-4549	60	1	1	1	NUM
ejpam-4549	60	2	shows	show	VERB
ejpam-4549	60	3	the	the	DET
ejpam-4549	60	4	axisymmetric	axisymmetric	ADJ
ejpam-4549	60	5	migration	migration	NOUN
ejpam-4549	60	6	of	of	ADP
ejpam-4549	60	7	an	an	DET
ejpam-4549	60	8	aerosol	aerosol	NOUN
ejpam-4549	60	9	particle	particle	NOUN
ejpam-4549	60	10	embedded	embed	VERB
ejpam-4549	60	11	in	in	ADP
ejpam-4549	60	12	an	an	DET
ejpam-4549	60	13	unbounded	unbounded	ADJ
ejpam-4549	60	14	incompressible	incompressible	ADJ
ejpam-4549	60	15	brinkmann	brinkmann	PROPN
ejpam-4549	60	16	medium	medium	NOUN
ejpam-4549	60	17	of	of	ADP
ejpam-4549	60	18	couple	couple	NOUN
ejpam-4549	60	19	stress	stress	NOUN
ejpam-4549	60	20	fluids	fluid	NOUN
ejpam-4549	60	21	under	under	ADP
ejpam-4549	60	22	the	the	DET
ejpam-4549	60	23	impact	impact	NOUN
ejpam-4549	60	24	of	of	ADP
ejpam-4549	60	25	slip	slip	NOUN
ejpam-4549	60	26	regime	regime	NOUN
ejpam-4549	60	27	.	.	PUNCT
ejpam-4549	61	1	an	an	DET
ejpam-4549	61	2	aerosol	aerosol	NOUN
ejpam-4549	61	3	particle	particle	NOUN
ejpam-4549	61	4	is	be	AUX
ejpam-4549	61	5	a	a	DET
ejpam-4549	61	6	spherical	spherical	ADJ
ejpam-4549	61	7	particle	particle	NOUN
ejpam-4549	61	8	of	of	ADP
ejpam-4549	61	9	radius	radius	NOUN
ejpam-4549	61	10	a	a	DET
ejpam-4549	61	11	moves	move	NOUN
ejpam-4549	61	12	along	along	ADP
ejpam-4549	61	13	z	z	NOUN
ejpam-4549	61	14	axis	axis	NOUN
ejpam-4549	61	15	with	with	ADP
ejpam-4549	61	16	an	an	DET
ejpam-4549	61	17	uniform	uniform	ADJ
ejpam-4549	61	18	flow	flow	NOUN
ejpam-4549	61	19	u	u	NOUN
ejpam-4549	61	20	.	.	PUNCT
ejpam-4549	62	1	in	in	ADP
ejpam-4549	62	2	the	the	DET
ejpam-4549	62	3	permeable	permeable	ADJ
ejpam-4549	62	4	region	region	NOUN
ejpam-4549	62	5	,	,	PUNCT
ejpam-4549	62	6	the	the	DET
ejpam-4549	62	7	flow	flow	NOUN
ejpam-4549	62	8	is	be	AUX
ejpam-4549	62	9	governed	govern	VERB
ejpam-4549	62	10	by	by	ADP
ejpam-4549	62	11	brinkman	brinkman	PROPN
ejpam-4549	62	12	’s	’s	PART
ejpam-4549	62	13	equation	equation	NOUN
ejpam-4549	62	14	.	.	PUNCT
ejpam-4549	63	1	also	also	ADV
ejpam-4549	63	2	,	,	PUNCT
ejpam-4549	63	3	under	under	ADP
ejpam-4549	63	4	the	the	DET
ejpam-4549	63	5	assumptions	assumption	NOUN
ejpam-4549	63	6	of	of	ADP
ejpam-4549	63	7	low	low	ADJ
ejpam-4549	63	8	reynolds	reynold	NOUN
ejpam-4549	63	9	number	number	NOUN
ejpam-4549	63	10	,	,	PUNCT
ejpam-4549	63	11	the	the	DET
ejpam-4549	63	12	inertial	inertial	ADJ
ejpam-4549	63	13	terms	term	NOUN
ejpam-4549	63	14	in	in	ADP
ejpam-4549	63	15	the	the	DET
ejpam-4549	63	16	fluid	fluid	ADJ
ejpam-4549	63	17	momentum	momentum	NOUN
ejpam-4549	63	18	are	be	AUX
ejpam-4549	63	19	neglected.the	neglected.the	DET
ejpam-4549	63	20	stokes	stokes	PROPN
ejpam-4549	63	21	microcontinuum	microcontinuum	PROPN
ejpam-4549	63	22	theory	theory	PROPN
ejpam-4549	63	23	[	[	X
ejpam-4549	63	24	1	1	NUM
ejpam-4549	63	25	]	]	PUNCT
ejpam-4549	63	26	is	be	AUX
ejpam-4549	63	27	considered	consider	VERB
ejpam-4549	63	28	the	the	DET
ejpam-4549	63	29	simplest	simple	ADJ
ejpam-4549	63	30	theory	theory	NOUN
ejpam-4549	63	31	of	of	ADP
ejpam-4549	63	32	fluids	fluid	NOUN
ejpam-4549	63	33	,	,	PUNCT
ejpam-4549	63	34	which	which	PRON
ejpam-4549	63	35	allows	allow	VERB
ejpam-4549	63	36	the	the	DET
ejpam-4549	63	37	polar	polar	ADJ
ejpam-4549	63	38	effects	effect	NOUN
ejpam-4549	63	39	such	such	ADJ
ejpam-4549	63	40	as	as	ADP
ejpam-4549	63	41	the	the	DET
ejpam-4549	63	42	presence	presence	NOUN
ejpam-4549	63	43	of	of	ADP
ejpam-4549	63	44	couple	couple	NOUN
ejpam-4549	63	45	stresses	stress	NOUN
ejpam-4549	63	46	,	,	PUNCT
ejpam-4549	63	47	body	body	NOUN
ejpam-4549	63	48	couples	couple	NOUN
ejpam-4549	63	49	and	and	CCONJ
ejpam-4549	63	50	nonsymmetric	nonsymmetric	ADJ
ejpam-4549	63	51	tensors	tensor	NOUN
ejpam-4549	63	52	.	.	PUNCT
ejpam-4549	64	1	the	the	DET
ejpam-4549	64	2	modified	modified	ADJ
ejpam-4549	64	3	governing	governing	NOUN
ejpam-4549	64	4	equations	equation	NOUN
ejpam-4549	64	5	of	of	ADP
ejpam-4549	64	6	momentum	momentum	NOUN
ejpam-4549	64	7	and	and	CCONJ
ejpam-4549	64	8	the	the	DET
ejpam-4549	64	9	continuity	continuity	NOUN
ejpam-4549	64	10	of	of	ADP
ejpam-4549	64	11	an	an	DET
ejpam-4549	64	12	incompressible	incompressible	ADJ
ejpam-4549	64	13	fluid	fluid	NOUN
ejpam-4549	64	14	with	with	ADP
ejpam-4549	64	15	couple	couple	NOUN
ejpam-4549	64	16	stress	stress	NOUN
ejpam-4549	64	17	in	in	ADP
ejpam-4549	64	18	the	the	DET
ejpam-4549	64	19	presence	presence	NOUN
ejpam-4549	64	20	of	of	ADP
ejpam-4549	64	21	brinkman	brinkman	PROPN
ejpam-4549	64	22	’s	’s	PART
ejpam-4549	64	23	medium	medium	NOUN
ejpam-4549	64	24	are	be	AUX
ejpam-4549	64	25	given	give	VERB
ejpam-4549	64	26	by	by	ADP
ejpam-4549	64	27	[	[	X
ejpam-4549	64	28	6	6	NUM
ejpam-4549	64	29	]	]	PUNCT
ejpam-4549	64	30	and	and	CCONJ
ejpam-4549	64	31	[	[	X
ejpam-4549	64	32	24	24	NUM
ejpam-4549	64	33	]	]	NUM
ejpam-4549	64	34	:	:	PUNCT
ejpam-4549	64	35	∇	∇	X
ejpam-4549	64	36	·	·	PUNCT
ejpam-4549	64	37	q⃗	q⃗	PROPN
ejpam-4549	64	38	=	=	SYM
ejpam-4549	64	39	0	0	NUM
ejpam-4549	64	40	,	,	PUNCT
ejpam-4549	64	41	(	(	PUNCT
ejpam-4549	64	42	1	1	X
ejpam-4549	64	43	)	)	PUNCT
ejpam-4549	64	44	∇p+	∇p+	PROPN
ejpam-4549	64	45	µ∇∧∇	µ∇∧∇	VERB
ejpam-4549	64	46	∧	∧	NOUN
ejpam-4549	64	47	q⃗	q⃗	PROPN
ejpam-4549	64	48	+	+	CCONJ
ejpam-4549	64	49	η∇∧∇	η∇∧∇	PROPN
ejpam-4549	64	50	∧∇	∧∇	NOUN
ejpam-4549	64	51	∧∇	∧∇	NOUN
ejpam-4549	64	52	∧	∧	PROPN
ejpam-4549	64	53	q⃗	q⃗	PROPN
ejpam-4549	64	54	+	+	CCONJ
ejpam-4549	64	55	µ	µ	X
ejpam-4549	64	56	k	k	X
ejpam-4549	64	57	q⃗	q⃗	PROPN
ejpam-4549	64	58	=	=	SYM
ejpam-4549	64	59	0	0	PROPN
ejpam-4549	64	60	.	.	PUNCT
ejpam-4549	65	1	(	(	PUNCT
ejpam-4549	65	2	2	2	X
ejpam-4549	65	3	)	)	PUNCT
ejpam-4549	65	4	shreen	shreen	PROPN
ejpam-4549	65	5	el	el	PROPN
ejpam-4549	65	6	-	-	PUNCT
ejpam-4549	65	7	sapa	sapa	PROPN
ejpam-4549	65	8	/	/	SYM
ejpam-4549	65	9	eur	eur	NOUN
ejpam-4549	65	10	.	.	PUNCT
ejpam-4549	66	1	j.	j.	PROPN
ejpam-4549	66	2	pure	pure	PROPN
ejpam-4549	66	3	appl	appl	PROPN
ejpam-4549	66	4	.	.	PROPN
ejpam-4549	66	5	math	math	PROPN
ejpam-4549	66	6	,	,	PUNCT
ejpam-4549	66	7	15	15	NUM
ejpam-4549	66	8	(	(	PUNCT
ejpam-4549	66	9	4	4	NUM
ejpam-4549	66	10	)	)	PUNCT
ejpam-4549	66	11	(	(	PUNCT
ejpam-4549	66	12	2022	2022	NUM
ejpam-4549	66	13	)	)	PUNCT
ejpam-4549	66	14	,	,	PUNCT
ejpam-4549	66	15	1566	1566	NUM
ejpam-4549	66	16	-	-	SYM
ejpam-4549	66	17	1592	1592	NUM
ejpam-4549	66	18	1569	1569	NUM
ejpam-4549	66	19	figure	figure	NOUN
ejpam-4549	66	20	1	1	NUM
ejpam-4549	66	21	:	:	PUNCT
ejpam-4549	66	22	the	the	DET
ejpam-4549	66	23	physical	physical	ADJ
ejpam-4549	66	24	representation	representation	NOUN
ejpam-4549	66	25	of	of	ADP
ejpam-4549	66	26	the	the	DET
ejpam-4549	66	27	problem	problem	NOUN
ejpam-4549	66	28	.	.	PUNCT
ejpam-4549	67	1	where	where	SCONJ
ejpam-4549	67	2	q⃗	q⃗	PROPN
ejpam-4549	67	3	is	be	AUX
ejpam-4549	67	4	the	the	DET
ejpam-4549	67	5	volume	volume	NOUN
ejpam-4549	67	6	averaged	average	VERB
ejpam-4549	67	7	velocity	velocity	NOUN
ejpam-4549	67	8	parallel	parallel	NOUN
ejpam-4549	67	9	to	to	ADP
ejpam-4549	67	10	the	the	DET
ejpam-4549	67	11	wall	wall	NOUN
ejpam-4549	67	12	,	,	PUNCT
ejpam-4549	67	13	p	p	NOUN
ejpam-4549	67	14	is	be	AUX
ejpam-4549	67	15	the	the	DET
ejpam-4549	67	16	pore	pore	ADJ
ejpam-4549	67	17	average	average	ADJ
ejpam-4549	67	18	pressure	pressure	NOUN
ejpam-4549	67	19	,	,	PUNCT
ejpam-4549	67	20	µ	µ	X
ejpam-4549	67	21	represents	represent	VERB
ejpam-4549	67	22	the	the	DET
ejpam-4549	67	23	viscosity	viscosity	NOUN
ejpam-4549	67	24	of	of	ADP
ejpam-4549	67	25	the	the	DET
ejpam-4549	67	26	fluid	fluid	NOUN
ejpam-4549	67	27	,	,	PUNCT
ejpam-4549	67	28	η	η	PROPN
ejpam-4549	67	29	is	be	AUX
ejpam-4549	67	30	the	the	DET
ejpam-4549	67	31	first	first	ADJ
ejpam-4549	67	32	couple	couple	NOUN
ejpam-4549	67	33	stress	stress	NOUN
ejpam-4549	67	34	viscosity	viscosity	NOUN
ejpam-4549	67	35	coefficient	coefficient	NOUN
ejpam-4549	67	36	,	,	PUNCT
ejpam-4549	67	37	and	and	CCONJ
ejpam-4549	67	38	η	η	PROPN
ejpam-4549	67	39	′	′	PROPN
ejpam-4549	67	40	is	be	AUX
ejpam-4549	67	41	the	the	DET
ejpam-4549	67	42	second	second	ADJ
ejpam-4549	67	43	couple	couple	NOUN
ejpam-4549	67	44	stress	stress	NOUN
ejpam-4549	67	45	viscosity	viscosity	NOUN
ejpam-4549	67	46	coefficient	coefficient	NOUN
ejpam-4549	67	47	.	.	PUNCT
ejpam-4549	68	1	if	if	SCONJ
ejpam-4549	68	2	the	the	DET
ejpam-4549	68	3	couple	couple	NOUN
ejpam-4549	68	4	stress	stress	NOUN
ejpam-4549	68	5	coefficient	coefficient	PROPN
ejpam-4549	68	6	η	η	PROPN
ejpam-4549	68	7	is	be	AUX
ejpam-4549	68	8	taken	take	VERB
ejpam-4549	68	9	zero	zero	NUM
ejpam-4549	68	10	,	,	PUNCT
ejpam-4549	68	11	then	then	ADV
ejpam-4549	68	12	the	the	DET
ejpam-4549	68	13	equation	equation	NOUN
ejpam-4549	68	14	of	of	ADP
ejpam-4549	68	15	motion	motion	NOUN
ejpam-4549	68	16	(	(	PUNCT
ejpam-4549	68	17	2	2	X
ejpam-4549	68	18	)	)	PUNCT
ejpam-4549	68	19	reduces	reduce	VERB
ejpam-4549	68	20	to	to	ADP
ejpam-4549	68	21	the	the	DET
ejpam-4549	68	22	classical	classical	ADJ
ejpam-4549	68	23	navier	navier	NOUN
ejpam-4549	68	24	–	–	PUNCT
ejpam-4549	68	25	stokes	stokes	PROPN
ejpam-4549	68	26	’s	’s	PART
ejpam-4549	68	27	equation	equation	NOUN
ejpam-4549	68	28	.	.	PUNCT
ejpam-4549	69	1	in	in	ADP
ejpam-4549	69	2	addition	addition	NOUN
ejpam-4549	69	3	,	,	PUNCT
ejpam-4549	69	4	k	k	PROPN
ejpam-4549	69	5	is	be	AUX
ejpam-4549	69	6	the	the	DET
ejpam-4549	69	7	darcy	darcy	PROPN
ejpam-4549	69	8	permeability	permeability	NOUN
ejpam-4549	69	9	of	of	ADP
ejpam-4549	69	10	the	the	DET
ejpam-4549	69	11	permeable	permeable	ADJ
ejpam-4549	69	12	medium	medium	NOUN
ejpam-4549	69	13	and	and	CCONJ
ejpam-4549	69	14	also	also	ADV
ejpam-4549	69	15	is	be	AUX
ejpam-4549	69	16	a	a	DET
ejpam-4549	69	17	scalar	scalar	NOUN
ejpam-4549	69	18	for	for	ADP
ejpam-4549	69	19	isotropic	isotropic	ADJ
ejpam-4549	69	20	porous	porous	ADJ
ejpam-4549	69	21	medium	medium	NOUN
ejpam-4549	69	22	.	.	PUNCT
ejpam-4549	70	1	otherwise	otherwise	ADV
ejpam-4549	70	2	,	,	PUNCT
ejpam-4549	70	3	k	k	PROPN
ejpam-4549	70	4	a	a	DET
ejpam-4549	70	5	second	second	ADJ
ejpam-4549	70	6	order	order	NOUN
ejpam-4549	70	7	tensor	tensor	NOUN
ejpam-4549	70	8	[	[	X
ejpam-4549	70	9	25	25	NUM
ejpam-4549	70	10	]	]	PUNCT
ejpam-4549	70	11	and	and	CCONJ
ejpam-4549	70	12	the	the	DET
ejpam-4549	70	13	brinkman	brinkman	PROPN
ejpam-4549	70	14	equation	equation	NOUN
ejpam-4549	70	15	of	of	ADP
ejpam-4549	70	16	couple	couple	NOUN
ejpam-4549	70	17	stress	stress	NOUN
ejpam-4549	70	18	fluid	fluid	NOUN
ejpam-4549	70	19	reduces	reduce	VERB
ejpam-4549	70	20	to	to	ADP
ejpam-4549	70	21	the	the	DET
ejpam-4549	70	22	darcy	darcy	PROPN
ejpam-4549	70	23	equation	equation	NOUN
ejpam-4549	70	24	when	when	SCONJ
ejpam-4549	70	25	k	k	PROPN
ejpam-4549	70	26	→	→	SYM
ejpam-4549	70	27	0	0	NUM
ejpam-4549	70	28	and	and	CCONJ
ejpam-4549	70	29	to	to	ADP
ejpam-4549	70	30	the	the	DET
ejpam-4549	70	31	stokes	stoke	NOUN
ejpam-4549	70	32	equation	equation	NOUN
ejpam-4549	70	33	of	of	ADP
ejpam-4549	70	34	couple	couple	NOUN
ejpam-4549	70	35	stress	stress	NOUN
ejpam-4549	70	36	fluid	fluid	NOUN
ejpam-4549	70	37	when	when	SCONJ
ejpam-4549	70	38	k	k	PROPN
ejpam-4549	70	39	→	→	SYM
ejpam-4549	70	40	∞.	∞.	PROPN
ejpam-4549	70	41	the	the	DET
ejpam-4549	70	42	material	material	NOUN
ejpam-4549	70	43	constants	constant	NOUN
ejpam-4549	70	44	are	be	AUX
ejpam-4549	70	45	[	[	X
ejpam-4549	70	46	17	17	NUM
ejpam-4549	70	47	]	]	X
ejpam-4549	70	48	:	:	PUNCT
ejpam-4549	70	49	µ	µ	X
ejpam-4549	70	50	≥	≥	NOUN
ejpam-4549	70	51	0	0	NUM
ejpam-4549	70	52	,	,	PUNCT
ejpam-4549	70	53	η	η	PROPN
ejpam-4549	70	54	≥	≥	X
ejpam-4549	70	55	0	0	NUM
ejpam-4549	70	56	η	η	PROPN
ejpam-4549	70	57	−	−	PROPN
ejpam-4549	70	58	η	η	PROPN
ejpam-4549	70	59	′	′	NUM
ejpam-4549	70	60	≥	≥	NOUN
ejpam-4549	70	61	0	0	NUM
ejpam-4549	70	62	.	.	PUNCT
ejpam-4549	71	1	(	(	PUNCT
ejpam-4549	71	2	3	3	X
ejpam-4549	71	3	)	)	PUNCT
ejpam-4549	71	4	the	the	DET
ejpam-4549	71	5	components	component	NOUN
ejpam-4549	71	6	of	of	ADP
ejpam-4549	71	7	velocity	velocity	NOUN
ejpam-4549	71	8	field	field	NOUN
ejpam-4549	71	9	are	be	AUX
ejpam-4549	71	10	of	of	ADP
ejpam-4549	71	11	the	the	DET
ejpam-4549	71	12	form	form	NOUN
ejpam-4549	71	13	:	:	PUNCT
ejpam-4549	71	14	q⃗	q⃗	PROPN
ejpam-4549	71	15	=	=	SYM
ejpam-4549	71	16	−∇	−∇	NOUN
ejpam-4549	71	17	∧	∧	NOUN
ejpam-4549	71	18	(	(	PUNCT
ejpam-4549	71	19	ψe⃗ϕ	ψe⃗ϕ	NOUN
ejpam-4549	71	20	r	r	NOUN
ejpam-4549	71	21	sin	sin	NOUN
ejpam-4549	71	22	θ	θ	PROPN
ejpam-4549	71	23	)	)	PUNCT
ejpam-4549	71	24	.	.	PUNCT
ejpam-4549	72	1	(	(	PUNCT
ejpam-4549	72	2	4	4	X
ejpam-4549	72	3	)	)	PUNCT
ejpam-4549	72	4	the	the	DET
ejpam-4549	72	5	constitutive	constitutive	ADJ
ejpam-4549	72	6	equations	equation	NOUN
ejpam-4549	72	7	for	for	ADP
ejpam-4549	72	8	the	the	DET
ejpam-4549	72	9	couple	couple	NOUN
ejpam-4549	72	10	stress	stress	NOUN
ejpam-4549	72	11	fluids	fluid	NOUN
ejpam-4549	72	12	in	in	ADP
ejpam-4549	72	13	dyadic	dyadic	ADJ
ejpam-4549	72	14	form	form	NOUN
ejpam-4549	72	15	are	be	AUX
ejpam-4549	72	16	:	:	PUNCT
ejpam-4549	72	17	(	(	PUNCT
ejpam-4549	72	18	i	i	NOUN
ejpam-4549	72	19	)	)	PUNCT
ejpam-4549	72	20	the	the	DET
ejpam-4549	72	21	stress	stress	NOUN
ejpam-4549	72	22	tensor	tensor	NOUN
ejpam-4549	72	23	,	,	PUNCT
ejpam-4549	72	24	t	t	PROPN
ejpam-4549	72	25	and	and	CCONJ
ejpam-4549	72	26	the	the	DET
ejpam-4549	72	27	strain	strain	NOUN
ejpam-4549	72	28	tensor,∆	tensor,∆	NOUN
ejpam-4549	72	29	:	:	PUNCT
ejpam-4549	73	1	t	t	PROPN
ejpam-4549	73	2	=	=	PUNCT
ejpam-4549	73	3	−pi+	−pi+	PROPN
ejpam-4549	73	4	2µe	2µe	ADJ
ejpam-4549	73	5	+	+	CCONJ
ejpam-4549	73	6	1	1	NUM
ejpam-4549	73	7	2	2	NUM
ejpam-4549	73	8	i	i	PRON
ejpam-4549	73	9	∧∇	∧∇	VERB
ejpam-4549	73	10	.	.	PUNCT
ejpam-4549	74	1	m	m	PROPN
ejpam-4549	74	2	,	,	PUNCT
ejpam-4549	74	3	(	(	PUNCT
ejpam-4549	74	4	5	5	NUM
ejpam-4549	74	5	)	)	PUNCT
ejpam-4549	74	6	e	e	NOUN
ejpam-4549	74	7	=	=	SYM
ejpam-4549	74	8	1	1	NUM
ejpam-4549	74	9	2	2	NUM
ejpam-4549	74	10	[	[	PUNCT
ejpam-4549	74	11	∇q⃗	∇q⃗	NOUN
ejpam-4549	74	12	+	+	CCONJ
ejpam-4549	74	13	(	(	PUNCT
ejpam-4549	74	14	∇q⃗)t	∇q⃗)t	NOUN
ejpam-4549	74	15	]	]	PUNCT
ejpam-4549	74	16	.	.	PUNCT
ejpam-4549	75	1	(	(	PUNCT
ejpam-4549	75	2	6	6	NUM
ejpam-4549	75	3	)	)	PUNCT
ejpam-4549	75	4	(	(	PUNCT
ejpam-4549	75	5	ii	ii	NOUN
ejpam-4549	75	6	)	)	PUNCT
ejpam-4549	75	7	the	the	DET
ejpam-4549	75	8	couple	couple	NOUN
ejpam-4549	75	9	stress	stress	NOUN
ejpam-4549	75	10	tensor	tensor	NOUN
ejpam-4549	75	11	,	,	PUNCT
ejpam-4549	75	12	m	m	VERB
ejpam-4549	75	13	m	m	NOUN
ejpam-4549	75	14	=	=	SYM
ejpam-4549	75	15	mi	mi	PROPN
ejpam-4549	75	16	+	+	CCONJ
ejpam-4549	75	17	4η∇ω⃗	4η∇ω⃗	PROPN
ejpam-4549	75	18	+	+	CCONJ
ejpam-4549	75	19	4η	4η	NOUN
ejpam-4549	75	20	′	′	NUM
ejpam-4549	75	21	(	(	PUNCT
ejpam-4549	75	22	∇ω⃗)t	∇ω⃗)t	NOUN
ejpam-4549	75	23	,	,	PUNCT
ejpam-4549	75	24	(	(	PUNCT
ejpam-4549	75	25	7	7	X
ejpam-4549	75	26	)	)	PUNCT
ejpam-4549	75	27	shreen	shreen	PROPN
ejpam-4549	75	28	el	el	PROPN
ejpam-4549	75	29	-	-	PUNCT
ejpam-4549	75	30	sapa	sapa	PROPN
ejpam-4549	75	31	/	/	SYM
ejpam-4549	75	32	eur	eur	NOUN
ejpam-4549	75	33	.	.	PUNCT
ejpam-4549	76	1	j.	j.	PROPN
ejpam-4549	76	2	pure	pure	PROPN
ejpam-4549	76	3	appl	appl	PROPN
ejpam-4549	76	4	.	.	PROPN
ejpam-4549	76	5	math	math	PROPN
ejpam-4549	76	6	,	,	PUNCT
ejpam-4549	76	7	15	15	NUM
ejpam-4549	76	8	(	(	PUNCT
ejpam-4549	76	9	4	4	NUM
ejpam-4549	76	10	)	)	PUNCT
ejpam-4549	76	11	(	(	PUNCT
ejpam-4549	76	12	2022	2022	NUM
ejpam-4549	76	13	)	)	PUNCT
ejpam-4549	76	14	,	,	PUNCT
ejpam-4549	76	15	1566	1566	NUM
ejpam-4549	76	16	-	-	SYM
ejpam-4549	76	17	1592	1592	NUM
ejpam-4549	76	18	1570	1570	NUM
ejpam-4549	76	19	where	where	SCONJ
ejpam-4549	76	20	i	i	PRON
ejpam-4549	76	21	is	be	AUX
ejpam-4549	76	22	the	the	DET
ejpam-4549	76	23	unit	unit	NOUN
ejpam-4549	76	24	dyadic	dyadic	NOUN
ejpam-4549	76	25	,	,	PUNCT
ejpam-4549	76	26	(	(	PUNCT
ejpam-4549	76	27	.)t	.)t	NUM
ejpam-4549	76	28	denotes	denote	NOUN
ejpam-4549	76	29	for	for	ADP
ejpam-4549	76	30	transpose	transpose	NOUN
ejpam-4549	76	31	,	,	PUNCT
ejpam-4549	76	32	and	and	CCONJ
ejpam-4549	76	33	ω	ω	PROPN
ejpam-4549	76	34	is	be	AUX
ejpam-4549	76	35	the	the	DET
ejpam-4549	76	36	vorticity	vorticity	NOUN
ejpam-4549	76	37	vector	vector	NOUN
ejpam-4549	76	38	which	which	PRON
ejpam-4549	76	39	it	it	PRON
ejpam-4549	76	40	is	be	AUX
ejpam-4549	76	41	defined	define	VERB
ejpam-4549	76	42	in	in	ADP
ejpam-4549	76	43	terms	term	NOUN
ejpam-4549	76	44	of	of	ADP
ejpam-4549	76	45	the	the	DET
ejpam-4549	76	46	stream	stream	NOUN
ejpam-4549	76	47	function	function	NOUN
ejpam-4549	76	48	ψ	ψ	X
ejpam-4549	76	49	by	by	ADP
ejpam-4549	76	50	:	:	PUNCT
ejpam-4549	76	51	ω⃗	ω⃗	NOUN
ejpam-4549	76	52	=	=	SYM
ejpam-4549	76	53	1	1	NUM
ejpam-4549	76	54	2∇∧	2∇∧	NUM
ejpam-4549	76	55	q⃗	q⃗	PROPN
ejpam-4549	76	56	=	=	SYM
ejpam-4549	76	57	1	1	NUM
ejpam-4549	76	58	2	2	NUM
ejpam-4549	76	59	1	1	NUM
ejpam-4549	76	60	r	r	NOUN
ejpam-4549	76	61	sin	sin	NOUN
ejpam-4549	76	62	θ	θ	PROPN
ejpam-4549	76	63	e2ψ	e2ψ	X
ejpam-4549	76	64	e⃗ϕ.	e⃗ϕ.	X
ejpam-4549	76	65	(	(	PUNCT
ejpam-4549	76	66	8)	8)	NUM
ejpam-4549	76	67	3	3	NUM
ejpam-4549	76	68	.	.	PUNCT
ejpam-4549	77	1	axisymmetric	axisymmetric	ADJ
ejpam-4549	77	2	expressions	expression	NOUN
ejpam-4549	77	3	of	of	ADP
ejpam-4549	77	4	the	the	DET
ejpam-4549	77	5	stresses	stress	NOUN
ejpam-4549	77	6	and	and	CCONJ
ejpam-4549	77	7	couple	couple	NOUN
ejpam-4549	77	8	stresses	stress	NOUN
ejpam-4549	77	9	for	for	ADP
ejpam-4549	77	10	the	the	DET
ejpam-4549	77	11	couple	couple	NOUN
ejpam-4549	77	12	stress	stress	NOUN
ejpam-4549	77	13	fluids	fluid	NOUN
ejpam-4549	77	14	theory	theory	NOUN
ejpam-4549	77	15	the	the	DET
ejpam-4549	77	16	strain	strain	NOUN
ejpam-4549	77	17	tensor	tensor	NOUN
ejpam-4549	77	18	in	in	ADP
ejpam-4549	77	19	terms	term	NOUN
ejpam-4549	77	20	of	of	ADP
ejpam-4549	77	21	the	the	DET
ejpam-4549	77	22	velocity	velocity	NOUN
ejpam-4549	77	23	components	component	NOUN
ejpam-4549	77	24	are	be	AUX
ejpam-4549	77	25	obtained	obtain	VERB
ejpam-4549	77	26	by	by	ADP
ejpam-4549	77	27	the	the	DET
ejpam-4549	77	28	following	follow	VERB
ejpam-4549	77	29	from	from	ADP
ejpam-4549	77	30	,	,	PUNCT
ejpam-4549	77	31	appendix	appendix	NOUN
ejpam-4549	77	32	(	(	PUNCT
ejpam-4549	77	33	a.1	a.1	NOUN
ejpam-4549	77	34	):	):	PUNCT
ejpam-4549	77	35	ω⃗	ω⃗	NOUN
ejpam-4549	77	36	=	=	PROPN
ejpam-4549	77	37	1	1	NUM
ejpam-4549	77	38	2err	2err	NUM
ejpam-4549	77	39	=	=	PUNCT
ejpam-4549	77	40	∂qr	∂qr	NOUN
ejpam-4549	77	41	∂r	∂r	INTJ
ejpam-4549	78	1	,	,	PUNCT
ejpam-4549	78	2	erθ	erθ	ADJ
ejpam-4549	78	3	=	=	PUNCT
ejpam-4549	78	4	eθr	eθr	ADJ
ejpam-4549	78	5	=	=	SYM
ejpam-4549	78	6	1	1	NUM
ejpam-4549	78	7	2	2	NUM
ejpam-4549	78	8	[	[	SYM
ejpam-4549	78	9	1	1	NUM
ejpam-4549	78	10	r	r	NOUN
ejpam-4549	78	11	∂qr	∂qr	NOUN
ejpam-4549	78	12	∂θ	∂θ	PROPN
ejpam-4549	78	13	−	−	NOUN
ejpam-4549	78	14	qθ	qθ	NOUN
ejpam-4549	78	15	r	r	NOUN
ejpam-4549	78	16	+	+	CCONJ
ejpam-4549	78	17	∂qθ	∂qθ	PROPN
ejpam-4549	78	18	∂r	∂r	PROPN
ejpam-4549	78	19	]	]	PUNCT
ejpam-4549	78	20	,	,	PUNCT
ejpam-4549	78	21	eθθ	eθθ	PROPN
ejpam-4549	78	22	=	=	PUNCT
ejpam-4549	79	1	[	[	PUNCT
ejpam-4549	79	2	1	1	NUM
ejpam-4549	79	3	r	r	NOUN
ejpam-4549	79	4	∂qr	∂qr	NOUN
ejpam-4549	79	5	∂θ	∂θ	PROPN
ejpam-4549	80	1	+	+	CCONJ
ejpam-4549	80	2	qθ	qθ	ADJ
ejpam-4549	80	3	r	r	NOUN
ejpam-4549	80	4	]	]	PUNCT
ejpam-4549	80	5	,	,	PUNCT
ejpam-4549	80	6	eθϕ	eθϕ	PROPN
ejpam-4549	80	7	=	=	SYM
ejpam-4549	80	8	eϕθ	eϕθ	PROPN
ejpam-4549	80	9	=	=	SYM
ejpam-4549	80	10	0	0	NUM
ejpam-4549	80	11	,	,	PUNCT
ejpam-4549	80	12	erϕ	erϕ	X
ejpam-4549	80	13	=	=	NOUN
ejpam-4549	80	14	eϕr	eϕr	NOUN
ejpam-4549	80	15	=	=	SYM
ejpam-4549	80	16	0	0	NUM
ejpam-4549	80	17	,	,	PUNCT
ejpam-4549	80	18	eϕϕ	eϕϕ	NOUN
ejpam-4549	80	19	=	=	PUNCT
ejpam-4549	81	1	[	[	X
ejpam-4549	81	2	qr	qr	INTJ
ejpam-4549	81	3	r	r	NOUN
ejpam-4549	81	4	+	+	CCONJ
ejpam-4549	81	5	cot	cot	NOUN
ejpam-4549	81	6	θqθ	θqθ	NOUN
ejpam-4549	81	7	r	r	NOUN
ejpam-4549	81	8	+	+	NUM
ejpam-4549	81	9	qθ	qθ	ADJ
ejpam-4549	81	10	r	r	NOUN
ejpam-4549	81	11	]	]	PUNCT
ejpam-4549	81	12	.	.	PUNCT
ejpam-4549	82	1			NOUN
ejpam-4549	82	2	(	(	PUNCT
ejpam-4549	82	3	9	9	NUM
ejpam-4549	82	4	)	)	PUNCT
ejpam-4549	82	5	the	the	DET
ejpam-4549	82	6	couple	couple	NOUN
ejpam-4549	82	7	stresses	stress	VERB
ejpam-4549	82	8	in	in	ADP
ejpam-4549	82	9	terms	term	NOUN
ejpam-4549	82	10	of	of	ADP
ejpam-4549	82	11	the	the	DET
ejpam-4549	82	12	vorticity	vorticity	NOUN
ejpam-4549	82	13	are	be	AUX
ejpam-4549	82	14	calculated	calculate	VERB
ejpam-4549	82	15	by	by	ADP
ejpam-4549	82	16	from	from	ADP
ejpam-4549	82	17	appendix	appendix	NOUN
ejpam-4549	82	18	(	(	PUNCT
ejpam-4549	82	19	a.2	a.2	NUM
ejpam-4549	82	20	):	):	PUNCT
ejpam-4549	82	21	mrr	mrr	NOUN
ejpam-4549	82	22	=	=	NOUN
ejpam-4549	82	23	m	m	NOUN
ejpam-4549	82	24	,	,	PUNCT
ejpam-4549	82	25	mrθ	mrθ	NOUN
ejpam-4549	82	26	,	,	PUNCT
ejpam-4549	82	27	mrϕ	mrϕ	NOUN
ejpam-4549	82	28	=	=	SYM
ejpam-4549	82	29	4η	4η	PROPN
ejpam-4549	82	30	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	83	1	∂r	∂r	PROPN
ejpam-4549	84	1	−	−	PROPN
ejpam-4549	85	1	4η	4η	NOUN
ejpam-4549	86	1	′	′	NUM
ejpam-4549	87	1	ωϕ	ωϕ	ADP
ejpam-4549	88	1	r	r	NOUN
ejpam-4549	88	2	,	,	PUNCT
ejpam-4549	88	3	mθr	mθr	NOUN
ejpam-4549	88	4	=	=	NOUN
ejpam-4549	88	5	0	0	NUM
ejpam-4549	88	6	,	,	PUNCT
ejpam-4549	88	7	mθθ	mθθ	NOUN
ejpam-4549	88	8	=	=	SYM
ejpam-4549	88	9	m	m	NOUN
ejpam-4549	88	10	,	,	PUNCT
ejpam-4549	88	11	mθϕ	mθϕ	NOUN
ejpam-4549	88	12	=	=	PUNCT
ejpam-4549	88	13	4η	4η	NOUN
ejpam-4549	88	14	1	1	NUM
ejpam-4549	88	15	r	r	NOUN
ejpam-4549	88	16	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	88	17	∂θ	∂θ	PROPN
ejpam-4549	89	1	−	−	PROPN
ejpam-4549	89	2	4η	4η	NOUN
ejpam-4549	90	1	′	′	NOUN
ejpam-4549	90	2	1	1	NUM
ejpam-4549	90	3	r	r	NOUN
ejpam-4549	90	4	cot	cot	NOUN
ejpam-4549	90	5	θ	θ	PROPN
ejpam-4549	90	6	ωϕ	ωϕ	NOUN
ejpam-4549	90	7	,	,	PUNCT
ejpam-4549	90	8	mϕr	mϕr	NOUN
ejpam-4549	90	9	=	=	SYM
ejpam-4549	90	10	−	−	PROPN
ejpam-4549	90	11	4η	4η	NOUN
ejpam-4549	90	12	1	1	NUM
ejpam-4549	90	13	r	r	NOUN
ejpam-4549	90	14	ωϕ	ωϕ	NUM
ejpam-4549	91	1	+	+	NUM
ejpam-4549	91	2	4η	4η	NOUN
ejpam-4549	91	3	′	′	NUM
ejpam-4549	92	1	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	92	2	∂r	∂r	PROPN
ejpam-4549	92	3	,	,	PUNCT
ejpam-4549	92	4	mϕθ	mϕθ	NOUN
ejpam-4549	92	5	=	=	SYM
ejpam-4549	93	1	−4η	−4η	NOUN
ejpam-4549	93	2	1	1	NUM
ejpam-4549	93	3	r	r	NOUN
ejpam-4549	93	4	cot	cot	NOUN
ejpam-4549	93	5	θωϕ	θωϕ	PROPN
ejpam-4549	94	1	+	+	CCONJ
ejpam-4549	94	2	4η	4η	PROPN
ejpam-4549	95	1	′	′	NOUN
ejpam-4549	95	2	1	1	NUM
ejpam-4549	95	3	r	r	NOUN
ejpam-4549	95	4	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	95	5	∂θ	∂θ	PROPN
ejpam-4549	95	6	,	,	PUNCT
ejpam-4549	95	7	mϕϕ	mϕϕ	NOUN
ejpam-4549	95	8	=	=	SYM
ejpam-4549	95	9	m	m	NOUN
ejpam-4549	95	10	,	,	PUNCT
ejpam-4549	95	11			NOUN
ejpam-4549	95	12	(	(	PUNCT
ejpam-4549	95	13	10	10	NUM
ejpam-4549	95	14	)	)	PUNCT
ejpam-4549	95	15	where	where	SCONJ
ejpam-4549	95	16	m	m	VERB
ejpam-4549	95	17	=	=	SYM
ejpam-4549	95	18	1	1	NUM
ejpam-4549	95	19	3	3	NUM
ejpam-4549	95	20	trm	trm	NOUN
ejpam-4549	95	21	=	=	NOUN
ejpam-4549	95	22	1	1	NUM
ejpam-4549	95	23	3	3	NUM
ejpam-4549	95	24	(	(	PUNCT
ejpam-4549	95	25	mrr	mrr	NOUN
ejpam-4549	95	26	+	+	CCONJ
ejpam-4549	95	27	mθθ	mθθ	NOUN
ejpam-4549	95	28	+	+	CCONJ
ejpam-4549	95	29	mϕϕ	mϕϕ	NOUN
ejpam-4549	95	30	)	)	PUNCT
ejpam-4549	95	31	,	,	PUNCT
ejpam-4549	95	32	is	be	AUX
ejpam-4549	95	33	the	the	DET
ejpam-4549	95	34	trace	trace	NOUN
ejpam-4549	95	35	of	of	ADP
ejpam-4549	95	36	the	the	DET
ejpam-4549	95	37	couple	couple	NOUN
ejpam-4549	95	38	stress	stress	NOUN
ejpam-4549	95	39	and	and	CCONJ
ejpam-4549	95	40	for	for	ADP
ejpam-4549	95	41	any	any	DET
ejpam-4549	95	42	axisymmetric	axisymmetric	ADJ
ejpam-4549	95	43	equation	equation	NOUN
ejpam-4549	95	44	you	you	PRON
ejpam-4549	95	45	may	may	AUX
ejpam-4549	95	46	take	take	VERB
ejpam-4549	95	47	,	,	PUNCT
ejpam-4549	95	48	m	m	VERB
ejpam-4549	95	49	=	=	ADJ
ejpam-4549	95	50	0	0	NUM
ejpam-4549	95	51	.	.	PUNCT
ejpam-4549	96	1	from	from	ADP
ejpam-4549	96	2	equations	equation	NOUN
ejpam-4549	96	3	(	(	PUNCT
ejpam-4549	96	4	9	9	NUM
ejpam-4549	96	5	)	)	PUNCT
ejpam-4549	96	6	,	,	PUNCT
ejpam-4549	96	7	we	we	PRON
ejpam-4549	96	8	get	get	VERB
ejpam-4549	96	9	the	the	DET
ejpam-4549	96	10	following	follow	VERB
ejpam-4549	96	11	term	term	NOUN
ejpam-4549	96	12	:	:	PUNCT
ejpam-4549	96	13	∇.m	∇.m	PROPN
ejpam-4549	96	14	=	=	PUNCT
ejpam-4549	96	15	ẽϕ	ẽϕ	X
ejpam-4549	96	16	[	[	PUNCT
ejpam-4549	96	17	1	1	NUM
ejpam-4549	96	18	r2	r2	NOUN
ejpam-4549	96	19	∂	∂	X
ejpam-4549	97	1	∂r	∂r	PROPN
ejpam-4549	97	2	(	(	PUNCT
ejpam-4549	97	3	r2mrϕ	r2mrϕ	NOUN
ejpam-4549	97	4	)	)	PUNCT
ejpam-4549	98	1	+	+	CCONJ
ejpam-4549	98	2	1	1	NUM
ejpam-4549	98	3	r	r	NOUN
ejpam-4549	98	4	sin	sin	NOUN
ejpam-4549	98	5	θ	θ	NOUN
ejpam-4549	98	6	∂	∂	PUNCT
ejpam-4549	99	1	∂θ	∂θ	PROPN
ejpam-4549	99	2	(	(	PUNCT
ejpam-4549	99	3	sin	sin	NOUN
ejpam-4549	99	4	θ	θ	PROPN
ejpam-4549	99	5	mθϕ	mθϕ	NOUN
ejpam-4549	99	6	)	)	PUNCT
ejpam-4549	100	1	+	+	NUM
ejpam-4549	100	2	mϕr	mϕr	ADJ
ejpam-4549	100	3	r	r	NOUN
ejpam-4549	100	4	+	+	CCONJ
ejpam-4549	100	5	cot	cot	NOUN
ejpam-4549	100	6	θ	θ	NOUN
ejpam-4549	100	7	r	r	NOUN
ejpam-4549	100	8	mϕθ	mϕθ	NOUN
ejpam-4549	100	9	]	]	PUNCT
ejpam-4549	100	10	and	and	CCONJ
ejpam-4549	100	11	so	so	ADV
ejpam-4549	100	12	,	,	PUNCT
ejpam-4549	100	13	i	i	PRON
ejpam-4549	100	14	∧∇.m	∧∇.m	ADV
ejpam-4549	100	15	=	=	SYM
ejpam-4549	100	16	(	(	PUNCT
ejpam-4549	100	17	−ẽr	−ẽr	PUNCT
ejpam-4549	100	18	ẽθ	ẽθ	PROPN
ejpam-4549	100	19	+	+	CCONJ
ejpam-4549	100	20	ẽθẽr	ẽθẽr	NUM
ejpam-4549	100	21	)	)	PUNCT
ejpam-4549	101	1	[	[	X
ejpam-4549	101	2	∂mrϕ	∂mrϕ	X
ejpam-4549	101	3	∂r	∂r	NOUN
ejpam-4549	101	4	+	+	NUM
ejpam-4549	101	5	2mrϕ	2mrϕ	NUM
ejpam-4549	101	6	+	+	NOUN
ejpam-4549	101	7	mϕr	mϕr	ADJ
ejpam-4549	101	8	r	r	NOUN
ejpam-4549	101	9	+	+	CCONJ
ejpam-4549	101	10	cot	cot	NOUN
ejpam-4549	101	11	θ	θ	NOUN
ejpam-4549	101	12	r	r	NOUN
ejpam-4549	101	13	(	(	PUNCT
ejpam-4549	101	14	mθϕ	mθϕ	NOUN
ejpam-4549	101	15	+	+	NOUN
ejpam-4549	101	16	mϕθ	mϕθ	NOUN
ejpam-4549	101	17	)	)	PUNCT
ejpam-4549	101	18	+	+	CCONJ
ejpam-4549	101	19	1	1	NUM
ejpam-4549	101	20	r	r	NOUN
ejpam-4549	101	21	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	101	22	∂θ	∂θ	PROPN
ejpam-4549	101	23	]	]	PUNCT
ejpam-4549	101	24	(	(	PUNCT
ejpam-4549	101	25	11	11	NUM
ejpam-4549	101	26	)	)	PUNCT
ejpam-4549	101	27	therefore	therefore	ADV
ejpam-4549	101	28	,	,	PUNCT
ejpam-4549	101	29	the	the	DET
ejpam-4549	101	30	stresses	stress	NOUN
ejpam-4549	101	31	are	be	AUX
ejpam-4549	101	32	determined	determine	VERB
ejpam-4549	101	33	from	from	ADP
ejpam-4549	101	34	equation	equation	NOUN
ejpam-4549	101	35	(	(	PUNCT
ejpam-4549	101	36	4	4	NUM
ejpam-4549	101	37	):	):	PUNCT
ejpam-4549	101	38	trr	trr	NOUN
ejpam-4549	101	39	=	=	PROPN
ejpam-4549	101	40	−	−	PROPN
ejpam-4549	101	41	p+	p+	NOUN
ejpam-4549	101	42	2µerr	2µerr	NUM
ejpam-4549	101	43	,	,	PUNCT
ejpam-4549	101	44	trϕ	trϕ	ADJ
ejpam-4549	101	45	,	,	PUNCT
ejpam-4549	101	46	tθθ	tθθ	NOUN
ejpam-4549	101	47	=	=	SYM
ejpam-4549	101	48	−p+	−p+	NOUN
ejpam-4549	101	49	2µeθθ	2µeθθ	NUM
ejpam-4549	101	50	,	,	PUNCT
ejpam-4549	101	51	tθϕ	tθϕ	X
ejpam-4549	102	1	=	=	NOUN
ejpam-4549	102	2	0	0	PROPN
ejpam-4549	102	3	,	,	PUNCT
ejpam-4549	102	4	tθr	tθr	NOUN
ejpam-4549	102	5	=	=	SYM
ejpam-4549	102	6	m	m	PROPN
ejpam-4549	102	7	,	,	PUNCT
ejpam-4549	102	8	tϕθ	tϕθ	X
ejpam-4549	102	9	=	=	SYM
ejpam-4549	102	10	0	0	NUM
ejpam-4549	102	11	,	,	PUNCT
ejpam-4549	102	12	tϕϕ	tϕϕ	NOUN
ejpam-4549	102	13	=	=	PUNCT
ejpam-4549	102	14	−p+	−p+	PROPN
ejpam-4549	102	15	2µeϕϕ	2µeϕϕ	NUM
ejpam-4549	102	16	,	,	PUNCT
ejpam-4549	102	17	trθ	trθ	NOUN
ejpam-4549	102	18	=	=	SYM
ejpam-4549	102	19	2µerθ	2µerθ	NUM
ejpam-4549	102	20	−	−	NUM
ejpam-4549	102	21	1	1	NUM
ejpam-4549	102	22	2	2	NUM
ejpam-4549	102	23	[	[	NOUN
ejpam-4549	102	24	∂mrϕ	∂mrϕ	X
ejpam-4549	102	25	∂r	∂r	NOUN
ejpam-4549	102	26	+	+	NUM
ejpam-4549	102	27	2mrϕ	2mrϕ	NUM
ejpam-4549	102	28	+	+	NOUN
ejpam-4549	102	29	mϕr	mϕr	ADJ
ejpam-4549	102	30	r	r	NOUN
ejpam-4549	102	31	+	+	CCONJ
ejpam-4549	102	32	cot	cot	NOUN
ejpam-4549	102	33	θ	θ	NOUN
ejpam-4549	102	34	r	r	NOUN
ejpam-4549	102	35	(	(	PUNCT
ejpam-4549	102	36	mθϕ	mθϕ	NOUN
ejpam-4549	102	37	+	+	NOUN
ejpam-4549	102	38	mϕθ	mϕθ	NOUN
ejpam-4549	102	39	)	)	PUNCT
ejpam-4549	103	1	+	+	CCONJ
ejpam-4549	103	2	1	1	NUM
ejpam-4549	103	3	r	r	NOUN
ejpam-4549	103	4	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	103	5	∂θ	∂θ	PROPN
ejpam-4549	103	6	]	]	PUNCT
ejpam-4549	103	7	,	,	PUNCT
ejpam-4549	103	8	tθr	tθr	X
ejpam-4549	104	1	=	=	SYM
ejpam-4549	104	2	2µeθr	2µeθr	NUM
ejpam-4549	104	3	+	+	CCONJ
ejpam-4549	104	4	1	1	NUM
ejpam-4549	104	5	2	2	NUM
ejpam-4549	104	6	[	[	NOUN
ejpam-4549	104	7	∂mrϕ	∂mrϕ	X
ejpam-4549	104	8	∂r	∂r	NOUN
ejpam-4549	104	9	+	+	NUM
ejpam-4549	104	10	2mrϕ	2mrϕ	NUM
ejpam-4549	104	11	+	+	NOUN
ejpam-4549	104	12	mϕr	mϕr	ADJ
ejpam-4549	104	13	r	r	NOUN
ejpam-4549	104	14	+	+	CCONJ
ejpam-4549	104	15	cot	cot	NOUN
ejpam-4549	104	16	θ	θ	NOUN
ejpam-4549	104	17	r	r	NOUN
ejpam-4549	104	18	(	(	PUNCT
ejpam-4549	104	19	mθϕ	mθϕ	NOUN
ejpam-4549	104	20	+	+	NOUN
ejpam-4549	104	21	mϕθ	mϕθ	NOUN
ejpam-4549	104	22	)	)	PUNCT
ejpam-4549	104	23	+	+	CCONJ
ejpam-4549	104	24	1	1	NUM
ejpam-4549	104	25	r	r	NOUN
ejpam-4549	104	26	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	104	27	∂θ	∂θ	PROPN
ejpam-4549	104	28	]	]	PUNCT
ejpam-4549	104	29	.	.	PUNCT
ejpam-4549	105	1			NUM
ejpam-4549	105	2	(	(	PUNCT
ejpam-4549	105	3	12	12	NUM
ejpam-4549	105	4	)	)	PUNCT
ejpam-4549	105	5	shreen	shreen	PROPN
ejpam-4549	105	6	el	el	PROPN
ejpam-4549	105	7	-	-	PUNCT
ejpam-4549	105	8	sapa	sapa	PROPN
ejpam-4549	105	9	/	/	SYM
ejpam-4549	105	10	eur	eur	NOUN
ejpam-4549	105	11	.	.	PUNCT
ejpam-4549	106	1	j.	j.	PROPN
ejpam-4549	106	2	pure	pure	PROPN
ejpam-4549	106	3	appl	appl	PROPN
ejpam-4549	106	4	.	.	PROPN
ejpam-4549	106	5	math	math	PROPN
ejpam-4549	106	6	,	,	PUNCT
ejpam-4549	106	7	15	15	NUM
ejpam-4549	106	8	(	(	PUNCT
ejpam-4549	106	9	4	4	NUM
ejpam-4549	106	10	)	)	PUNCT
ejpam-4549	106	11	(	(	PUNCT
ejpam-4549	106	12	2022	2022	NUM
ejpam-4549	106	13	)	)	PUNCT
ejpam-4549	106	14	,	,	PUNCT
ejpam-4549	106	15	1566	1566	NUM
ejpam-4549	106	16	-	-	SYM
ejpam-4549	106	17	1592	1592	NUM
ejpam-4549	106	18	1571	1571	NUM
ejpam-4549	106	19	for	for	ADP
ejpam-4549	106	20	dimensionless	dimensionless	ADJ
ejpam-4549	106	21	governing	governing	NOUN
ejpam-4549	106	22	equations	equation	NOUN
ejpam-4549	107	1	,	,	PUNCT
ejpam-4549	107	2	we	we	PRON
ejpam-4549	107	3	used	use	VERB
ejpam-4549	107	4	the	the	DET
ejpam-4549	107	5	following	follow	VERB
ejpam-4549	107	6	nondimensional	nondimensional	ADJ
ejpam-4549	107	7	variables	variable	NOUN
ejpam-4549	107	8	:	:	PUNCT
ejpam-4549	108	1	ˆ⃗q	ˆ⃗q	NOUN
ejpam-4549	108	2	=	=	PUNCT
ejpam-4549	108	3	q⃗	q⃗	PROPN
ejpam-4549	108	4	u	u	NOUN
ejpam-4549	108	5	,	,	PUNCT
ejpam-4549	108	6	p̂	p̂	X
ejpam-4549	108	7	=	=	SYM
ejpam-4549	108	8	ap	ap	PROPN
ejpam-4549	108	9	µu	µu	PROPN
ejpam-4549	108	10	,	,	PUNCT
ejpam-4549	108	11	∇̂	∇̂	NOUN
ejpam-4549	108	12	=	=	SYM
ejpam-4549	108	13	a∇	a∇	PROPN
ejpam-4549	108	14	,	,	PUNCT
ejpam-4549	108	15	t̂rr	t̂rr	VERB
ejpam-4549	108	16	=	=	SYM
ejpam-4549	108	17	atrr	atrr	NOUN
ejpam-4549	108	18	µu	µu	ADP
ejpam-4549	108	19	,	,	PUNCT
ejpam-4549	108	20	ω̂ϕ	ω̂ϕ	ADV
ejpam-4549	108	21	=	=	SYM
ejpam-4549	108	22	aωϕ	aωϕ	NOUN
ejpam-4549	108	23	u	u	NOUN
ejpam-4549	108	24	.	.	PUNCT
ejpam-4549	109	1	(	(	PUNCT
ejpam-4549	109	2	13	13	NUM
ejpam-4549	109	3	)	)	PUNCT
ejpam-4549	109	4	substituting	substitute	VERB
ejpam-4549	109	5	equation	equation	NOUN
ejpam-4549	109	6	(	(	PUNCT
ejpam-4549	109	7	12	12	NUM
ejpam-4549	109	8	)	)	PUNCT
ejpam-4549	109	9	in	in	ADP
ejpam-4549	109	10	equation	equation	NOUN
ejpam-4549	109	11	(	(	PUNCT
ejpam-4549	109	12	2	2	NUM
ejpam-4549	109	13	)	)	PUNCT
ejpam-4549	109	14	and	and	CCONJ
ejpam-4549	109	15	then	then	ADV
ejpam-4549	109	16	dropping	drop	VERB
ejpam-4549	109	17	the	the	DET
ejpam-4549	109	18	tildes	tilde	NOUN
ejpam-4549	109	19	,	,	PUNCT
ejpam-4549	109	20	we	we	PRON
ejpam-4549	109	21	get	get	VERB
ejpam-4549	109	22	:	:	PUNCT
ejpam-4549	109	23	∇p+∇∧∇	∇p+∇∧∇	NOUN
ejpam-4549	109	24	∧	∧	NOUN
ejpam-4549	109	25	q⃗	q⃗	NOUN
ejpam-4549	109	26	+	+	CCONJ
ejpam-4549	110	1	1	1	NUM
ejpam-4549	110	2	ζ2	ζ2	NOUN
ejpam-4549	110	3	∇∧∇	∇∧∇	NOUN
ejpam-4549	110	4	∧∇	∧∇	NOUN
ejpam-4549	110	5	∧∇	∧∇	NOUN
ejpam-4549	110	6	∧	∧	PROPN
ejpam-4549	110	7	q⃗	q⃗	PROPN
ejpam-4549	111	1	+	+	PROPN
ejpam-4549	111	2	k2q⃗	k2q⃗	NOUN
ejpam-4549	111	3	=	=	SYM
ejpam-4549	111	4	0	0	NUM
ejpam-4549	111	5	.	.	PUNCT
ejpam-4549	112	1	(	(	PUNCT
ejpam-4549	112	2	14	14	NUM
ejpam-4549	112	3	)	)	PUNCT
ejpam-4549	112	4	where	where	SCONJ
ejpam-4549	112	5	k=	k=	PROPN
ejpam-4549	112	6	a2	a2	PROPN
ejpam-4549	112	7	k	k	PROPN
ejpam-4549	112	8	,	,	PUNCT
ejpam-4549	112	9	ζ	ζ	PROPN
ejpam-4549	112	10	2	2	NUM
ejpam-4549	112	11	=	=	PUNCT
ejpam-4549	112	12	µa2	µa2	PROPN
ejpam-4549	112	13	η	η	PROPN
ejpam-4549	112	14	are	be	AUX
ejpam-4549	112	15	the	the	DET
ejpam-4549	112	16	permeability	permeability	NOUN
ejpam-4549	112	17	parameter	parameter	NOUN
ejpam-4549	112	18	and	and	CCONJ
ejpam-4549	112	19	the	the	DET
ejpam-4549	112	20	length	length	NOUN
ejpam-4549	112	21	dependent	dependent	ADJ
ejpam-4549	112	22	parameter	parameter	NOUN
ejpam-4549	112	23	of	of	ADP
ejpam-4549	112	24	the	the	DET
ejpam-4549	112	25	first	first	ADJ
ejpam-4549	112	26	couple	couple	NOUN
ejpam-4549	112	27	stress	stress	NOUN
ejpam-4549	112	28	fluid	fluid	ADJ
ejpam-4549	112	29	coefficient	coefficient	NOUN
ejpam-4549	112	30	,	,	PUNCT
ejpam-4549	112	31	respectively	respectively	ADV
ejpam-4549	112	32	.	.	PUNCT
ejpam-4549	113	1	if	if	SCONJ
ejpam-4549	113	2	ζ	ζ	NOUN
ejpam-4549	113	3	→	→	SYM
ejpam-4549	113	4	∞	∞	NUM
ejpam-4549	113	5	equation	equation	NOUN
ejpam-4549	113	6	(	(	PUNCT
ejpam-4549	113	7	13	13	NUM
ejpam-4549	113	8	)	)	PUNCT
ejpam-4549	113	9	represents	represent	VERB
ejpam-4549	113	10	the	the	DET
ejpam-4549	113	11	modified	modify	VERB
ejpam-4549	113	12	stokes	stoke	NOUN
ejpam-4549	113	13	equation	equation	NOUN
ejpam-4549	113	14	for	for	ADP
ejpam-4549	113	15	nonpolar	nonpolar	ADJ
ejpam-4549	113	16	fluid	fluid	NOUN
ejpam-4549	113	17	.	.	PUNCT
ejpam-4549	114	1	4	4	X
ejpam-4549	114	2	.	.	NOUN
ejpam-4549	114	3	differential	differential	ADJ
ejpam-4549	114	4	equation	equation	NOUN
ejpam-4549	114	5	satisfied	satisfy	VERB
ejpam-4549	114	6	by	by	ADP
ejpam-4549	114	7	the	the	DET
ejpam-4549	114	8	stream	stream	NOUN
ejpam-4549	114	9	function	function	NOUN
ejpam-4549	114	10	,	,	PUNCT
ejpam-4549	114	11	ψ	ψ	X
ejpam-4549	114	12	further	far	ADV
ejpam-4549	114	13	,	,	PUNCT
ejpam-4549	114	14	the	the	DET
ejpam-4549	114	15	fluid	fluid	ADJ
ejpam-4549	114	16	movement	movement	NOUN
ejpam-4549	114	17	is	be	AUX
ejpam-4549	114	18	axisymmetric	axisymmetric	ADJ
ejpam-4549	114	19	,	,	PUNCT
ejpam-4549	114	20	so	so	ADV
ejpam-4549	114	21	all	all	DET
ejpam-4549	114	22	the	the	DET
ejpam-4549	114	23	field	field	NOUN
ejpam-4549	114	24	functions	function	NOUN
ejpam-4549	114	25	are	be	AUX
ejpam-4549	114	26	independent	independent	ADJ
ejpam-4549	114	27	of	of	ADP
ejpam-4549	114	28	ϕ	ϕ	PROPN
ejpam-4549	114	29	and	and	CCONJ
ejpam-4549	114	30	the	the	DET
ejpam-4549	114	31	spherical	spherical	ADJ
ejpam-4549	114	32	polar	polar	ADJ
ejpam-4549	114	33	coordinate	coordinate	NOUN
ejpam-4549	114	34	system	system	NOUN
ejpam-4549	114	35	is	be	AUX
ejpam-4549	114	36	(	(	PUNCT
ejpam-4549	114	37	r	r	NOUN
ejpam-4549	114	38	,	,	PUNCT
ejpam-4549	114	39	θ	θ	PROPN
ejpam-4549	114	40	,	,	PUNCT
ejpam-4549	114	41	ϕ	ϕ	NOUN
ejpam-4549	114	42	)	)	PUNCT
ejpam-4549	115	1	where	where	SCONJ
ejpam-4549	115	2	the	the	DET
ejpam-4549	115	3	origin	origin	NOUN
ejpam-4549	115	4	located	locate	VERB
ejpam-4549	115	5	at	at	ADP
ejpam-4549	115	6	the	the	DET
ejpam-4549	115	7	center	center	NOUN
ejpam-4549	115	8	of	of	ADP
ejpam-4549	115	9	the	the	DET
ejpam-4549	115	10	sphere	sphere	NOUN
ejpam-4549	116	1	.	.	PUNCT
ejpam-4549	117	1	since	since	SCONJ
ejpam-4549	117	2	the	the	DET
ejpam-4549	117	3	velocity	velocity	NOUN
ejpam-4549	117	4	vector	vector	NOUN
ejpam-4549	117	5	q⃗	q⃗	NOUN
ejpam-4549	117	6	and	and	CCONJ
ejpam-4549	117	7	the	the	DET
ejpam-4549	117	8	vorticity	vorticity	NOUN
ejpam-4549	117	9	vector	vector	NOUN
ejpam-4549	117	10	ω⃗	ω⃗	NOUN
ejpam-4549	117	11	are	be	AUX
ejpam-4549	117	12	assumed	assume	VERB
ejpam-4549	117	13	as	as	ADP
ejpam-4549	117	14	:	:	PUNCT
ejpam-4549	117	15	q⃗	q⃗	PROPN
ejpam-4549	117	16	=	=	SYM
ejpam-4549	117	17	qr(r	qr(r	PROPN
ejpam-4549	117	18	,	,	PUNCT
ejpam-4549	117	19	θ)e⃗r	θ)e⃗r	PROPN
ejpam-4549	117	20	+	+	CCONJ
ejpam-4549	117	21	qθ(r	qθ(r	NOUN
ejpam-4549	117	22	,	,	PUNCT
ejpam-4549	117	23	θ)e⃗θ	θ)e⃗θ	NOUN
ejpam-4549	117	24	,	,	PUNCT
ejpam-4549	117	25	ω⃗	ω⃗	NOUN
ejpam-4549	117	26	=	=	SYM
ejpam-4549	117	27	ωϕ(r	ωϕ(r	NUM
ejpam-4549	117	28	,	,	PUNCT
ejpam-4549	117	29	θ)e⃗ϕ.	θ)e⃗ϕ.	X
ejpam-4549	117	30	(	(	PUNCT
ejpam-4549	117	31	15	15	NUM
ejpam-4549	117	32	)	)	PUNCT
ejpam-4549	117	33	from	from	ADP
ejpam-4549	117	34	equation	equation	NOUN
ejpam-4549	117	35	(	(	PUNCT
ejpam-4549	117	36	1	1	NUM
ejpam-4549	117	37	)	)	PUNCT
ejpam-4549	117	38	,	,	PUNCT
ejpam-4549	117	39	the	the	DET
ejpam-4549	117	40	velocity	velocity	NOUN
ejpam-4549	117	41	components	component	NOUN
ejpam-4549	117	42	can	can	AUX
ejpam-4549	117	43	be	be	AUX
ejpam-4549	117	44	represented	represent	VERB
ejpam-4549	117	45	in	in	ADP
ejpam-4549	117	46	terms	term	NOUN
ejpam-4549	117	47	of	of	ADP
ejpam-4549	117	48	the	the	DET
ejpam-4549	117	49	stream	stream	NOUN
ejpam-4549	117	50	function	function	NOUN
ejpam-4549	117	51	ψ	ψ	NOUN
ejpam-4549	117	52	from	from	ADP
ejpam-4549	117	53	equation	equation	NOUN
ejpam-4549	117	54	(	(	PUNCT
ejpam-4549	117	55	3	3	NUM
ejpam-4549	117	56	)	)	PUNCT
ejpam-4549	117	57	as	as	ADP
ejpam-4549	117	58	the	the	DET
ejpam-4549	117	59	following	following	NOUN
ejpam-4549	117	60	:	:	PUNCT
ejpam-4549	117	61	qr	qr	PROPN
ejpam-4549	117	62	=	=	SYM
ejpam-4549	118	1	−	−	PROPN
ejpam-4549	118	2	1	1	NUM
ejpam-4549	119	1	r2θ	r2θ	PROPN
ejpam-4549	119	2	∂ψ	∂ψ	PUNCT
ejpam-4549	120	1	∂θ	∂θ	NOUN
ejpam-4549	120	2	,	,	PUNCT
ejpam-4549	120	3	qθ	qθ	PROPN
ejpam-4549	120	4	=	=	SYM
ejpam-4549	120	5	1	1	NUM
ejpam-4549	120	6	rθ	rθ	NOUN
ejpam-4549	120	7	∂ψ	∂ψ	PROPN
ejpam-4549	121	1	∂r	∂r	INTJ
ejpam-4549	121	2	.	.	PUNCT
ejpam-4549	122	1	(	(	PUNCT
ejpam-4549	122	2	16	16	NUM
ejpam-4549	122	3	)	)	PUNCT
ejpam-4549	122	4	from	from	ADP
ejpam-4549	122	5	equations	equation	NOUN
ejpam-4549	122	6	(	(	PUNCT
ejpam-4549	122	7	8)-(9	8)-(9	NOUN
ejpam-4549	122	8	)	)	PUNCT
ejpam-4549	122	9	and	and	CCONJ
ejpam-4549	122	10	(	(	PUNCT
ejpam-4549	122	11	11	11	X
ejpam-4549	122	12	)	)	PUNCT
ejpam-4549	122	13	we	we	PRON
ejpam-4549	122	14	obtained	obtain	VERB
ejpam-4549	122	15	the	the	DET
ejpam-4549	122	16	following	follow	VERB
ejpam-4549	122	17	non	non	ADJ
ejpam-4549	122	18	-	-	ADJ
ejpam-4549	122	19	dimensional	dimensional	ADJ
ejpam-4549	122	20	stresses	stress	NOUN
ejpam-4549	122	21	:	:	PUNCT
ejpam-4549	122	22	trr	trr	NOUN
ejpam-4549	122	23	=	=	PUNCT
ejpam-4549	122	24	−p+	−p+	PROPN
ejpam-4549	122	25	2	2	NUM
ejpam-4549	122	26	∂qr	∂qr	NOUN
ejpam-4549	122	27	∂r	∂r	INTJ
ejpam-4549	122	28	,	,	PUNCT
ejpam-4549	122	29	(	(	PUNCT
ejpam-4549	122	30	17	17	NUM
ejpam-4549	122	31	)	)	PUNCT
ejpam-4549	122	32	trθ	trθ	NOUN
ejpam-4549	122	33	=	=	PUNCT
ejpam-4549	123	1	[	[	PUNCT
ejpam-4549	123	2	1	1	NUM
ejpam-4549	123	3	r	r	NOUN
ejpam-4549	123	4	−	−	NOUN
ejpam-4549	123	5	qθ	qθ	NOUN
ejpam-4549	123	6	r	r	NOUN
ejpam-4549	123	7	+	+	CCONJ
ejpam-4549	123	8	∂qθ	∂qθ	PROPN
ejpam-4549	123	9	∂r	∂r	PROPN
ejpam-4549	123	10	]	]	PUNCT
ejpam-4549	124	1	−	−	PROPN
ejpam-4549	124	2	1	1	NUM
ejpam-4549	124	3	2ζ2	2ζ2	NUM
ejpam-4549	124	4	[	[	PUNCT
ejpam-4549	124	5	∂2ωϕ	∂2ωϕ	ADJ
ejpam-4549	124	6	∂r2	∂r2	NOUN
ejpam-4549	124	7	+	+	CCONJ
ejpam-4549	124	8	2	2	NUM
ejpam-4549	124	9	r	r	NOUN
ejpam-4549	124	10	∂ωϕ	∂ωϕ	NOUN
ejpam-4549	125	1	∂r	∂r	NUM
ejpam-4549	126	1	−	−	NUM
ejpam-4549	126	2	2ωϕ	2ωϕ	ADJ
ejpam-4549	126	3	r2	r2	PROPN
ejpam-4549	126	4	]	]	PUNCT
ejpam-4549	127	1	,	,	PUNCT
ejpam-4549	127	2	(	(	PUNCT
ejpam-4549	127	3	18	18	NUM
ejpam-4549	127	4	)	)	PUNCT
ejpam-4549	127	5	mrϕ	mrϕ	NOUN
ejpam-4549	127	6	=	=	SYM
ejpam-4549	127	7	4	4	NUM
ejpam-4549	127	8	ζ2	ζ2	NOUN
ejpam-4549	127	9	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	127	10	∂r	∂r	NOUN
ejpam-4549	127	11	−	−	NUM
ejpam-4549	127	12	4	4	NUM
ejpam-4549	127	13	ζ	ζ	NOUN
ejpam-4549	127	14	′2	′2	NOUN
ejpam-4549	127	15	ωphi	ωphi	ADJ
ejpam-4549	127	16	r	r	NOUN
ejpam-4549	127	17	,	,	PUNCT
ejpam-4549	127	18	(	(	PUNCT
ejpam-4549	127	19	19	19	NUM
ejpam-4549	127	20	)	)	PUNCT
ejpam-4549	127	21	where	where	SCONJ
ejpam-4549	127	22	,	,	PUNCT
ejpam-4549	127	23	ζ	ζ	NOUN
ejpam-4549	127	24	′2	′2	NOUN
ejpam-4549	127	25	=	=	PUNCT
ejpam-4549	127	26	µa2	µa2	NOUN
ejpam-4549	127	27	η′	η′	NOUN
ejpam-4549	127	28	is	be	AUX
ejpam-4549	127	29	the	the	DET
ejpam-4549	127	30	length	length	NOUN
ejpam-4549	127	31	dependent	dependent	ADJ
ejpam-4549	127	32	parameter	parameter	NOUN
ejpam-4549	127	33	on	on	ADP
ejpam-4549	127	34	the	the	DET
ejpam-4549	127	35	second	second	ADJ
ejpam-4549	127	36	couple	couple	NOUN
ejpam-4549	127	37	stress	stress	NOUN
ejpam-4549	127	38	fluid	fluid	NOUN
ejpam-4549	127	39	coefficient	coefficient	NOUN
ejpam-4549	127	40	.	.	PUNCT
ejpam-4549	128	1	thus	thus	ADV
ejpam-4549	128	2	,	,	PUNCT
ejpam-4549	128	3	the	the	DET
ejpam-4549	128	4	governing	govern	VERB
ejpam-4549	128	5	equations	equation	NOUN
ejpam-4549	128	6	have	have	VERB
ejpam-4549	128	7	the	the	DET
ejpam-4549	128	8	form	form	NOUN
ejpam-4549	128	9	:	:	PUNCT
ejpam-4549	128	10	mrϕ	mrϕ	NOUN
ejpam-4549	128	11	=	=	SYM
ejpam-4549	128	12	4	4	NUM
ejpam-4549	128	13	ζ2	ζ2	NOUN
ejpam-4549	128	14	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	128	15	∂r	∂r	NOUN
ejpam-4549	128	16	−	−	NUM
ejpam-4549	128	17	4	4	NUM
ejpam-4549	128	18	ζ	ζ	NOUN
ejpam-4549	128	19	′2	′2	NOUN
ejpam-4549	128	20	ωphi	ωphi	ADJ
ejpam-4549	128	21	r	r	NOUN
ejpam-4549	128	22	,	,	PUNCT
ejpam-4549	128	23	(	(	PUNCT
ejpam-4549	128	24	20	20	NUM
ejpam-4549	128	25	)	)	PUNCT
ejpam-4549	128	26	where	where	SCONJ
ejpam-4549	128	27	,	,	PUNCT
ejpam-4549	128	28	ζ	ζ	NOUN
ejpam-4549	128	29	′2	′2	NOUN
ejpam-4549	128	30	=	=	SYM
ejpam-4549	128	31	a2µ	a2µ	NOUN
ejpam-4549	128	32	η′	η′	NOUN
ejpam-4549	128	33	is	be	AUX
ejpam-4549	128	34	the	the	DET
ejpam-4549	128	35	length	length	NOUN
ejpam-4549	128	36	dependent	dependent	ADJ
ejpam-4549	128	37	parameter	parameter	NOUN
ejpam-4549	128	38	on	on	ADP
ejpam-4549	128	39	the	the	DET
ejpam-4549	128	40	second	second	ADJ
ejpam-4549	128	41	couple	couple	NOUN
ejpam-4549	128	42	stress	stress	NOUN
ejpam-4549	128	43	fluid	fluid	NOUN
ejpam-4549	128	44	coefficient	coefficient	NOUN
ejpam-4549	128	45	.	.	PUNCT
ejpam-4549	129	1	thus	thus	ADV
ejpam-4549	129	2	,	,	PUNCT
ejpam-4549	129	3	the	the	DET
ejpam-4549	129	4	governing	govern	VERB
ejpam-4549	129	5	equations	equation	NOUN
ejpam-4549	129	6	have	have	VERB
ejpam-4549	129	7	the	the	DET
ejpam-4549	129	8	form	form	NOUN
ejpam-4549	129	9	:	:	PUNCT
ejpam-4549	129	10	ζ−2	ζ−2	PROPN
ejpam-4549	129	11	r2	r2	PROPN
ejpam-4549	129	12	sin	sin	NOUN
ejpam-4549	129	13	θ	θ	PROPN
ejpam-4549	129	14	∂	∂	NOUN
ejpam-4549	130	1	∂θ	∂θ	PROPN
ejpam-4549	130	2	l−1	l−1	PROPN
ejpam-4549	130	3	(	(	PUNCT
ejpam-4549	130	4	l−1	l−1	PROPN
ejpam-4549	130	5	−	−	NOUN
ejpam-4549	130	6	ζ2	ζ2	NOUN
ejpam-4549	130	7	)	)	PUNCT
ejpam-4549	130	8	ψ	ψ	X
ejpam-4549	130	9	+	+	CCONJ
ejpam-4549	130	10	κ2	κ2	NOUN
ejpam-4549	130	11	r2	r2	PROPN
ejpam-4549	130	12	sin	sin	VERB
ejpam-4549	130	13	θ	θ	PROPN
ejpam-4549	130	14	∂ψ	∂ψ	PUNCT
ejpam-4549	131	1	∂θ	∂θ	NOUN
ejpam-4549	132	1	−	−	PROPN
ejpam-4549	132	2	∂p	∂p	PROPN
ejpam-4549	133	1	∂r	∂r	PROPN
ejpam-4549	133	2	=	=	NOUN
ejpam-4549	133	3	0	0	PROPN
ejpam-4549	133	4	,	,	PUNCT
ejpam-4549	133	5	(	(	PUNCT
ejpam-4549	133	6	21	21	NUM
ejpam-4549	133	7	)	)	PUNCT
ejpam-4549	133	8	shreen	shreen	PROPN
ejpam-4549	133	9	el	el	PROPN
ejpam-4549	133	10	-	-	PUNCT
ejpam-4549	133	11	sapa	sapa	PROPN
ejpam-4549	133	12	/	/	SYM
ejpam-4549	133	13	eur	eur	NOUN
ejpam-4549	133	14	.	.	PUNCT
ejpam-4549	134	1	j.	j.	PROPN
ejpam-4549	134	2	pure	pure	PROPN
ejpam-4549	134	3	appl	appl	PROPN
ejpam-4549	134	4	.	.	PROPN
ejpam-4549	134	5	math	math	PROPN
ejpam-4549	134	6	,	,	PUNCT
ejpam-4549	134	7	15	15	NUM
ejpam-4549	134	8	(	(	PUNCT
ejpam-4549	134	9	4	4	NUM
ejpam-4549	134	10	)	)	PUNCT
ejpam-4549	134	11	(	(	PUNCT
ejpam-4549	134	12	2022	2022	NUM
ejpam-4549	134	13	)	)	PUNCT
ejpam-4549	134	14	,	,	PUNCT
ejpam-4549	134	15	1566	1566	NUM
ejpam-4549	134	16	-	-	SYM
ejpam-4549	134	17	1592	1592	NUM
ejpam-4549	134	18	1572	1572	NUM
ejpam-4549	134	19	−ζ−2	−ζ−2	NUM
ejpam-4549	134	20	r	r	NOUN
ejpam-4549	134	21	sin	sin	NOUN
ejpam-4549	134	22	θ	θ	NOUN
ejpam-4549	134	23	∂	∂	NOUN
ejpam-4549	135	1	∂r	∂r	PROPN
ejpam-4549	135	2	l−1	l−1	PROPN
ejpam-4549	135	3	(	(	PUNCT
ejpam-4549	135	4	l−1	l−1	PROPN
ejpam-4549	135	5	−	−	NOUN
ejpam-4549	135	6	ζ2	ζ2	NOUN
ejpam-4549	135	7	)	)	PUNCT
ejpam-4549	135	8	ψ	ψ	ADP
ejpam-4549	135	9	−	−	PROPN
ejpam-4549	135	10	κ2	κ2	NOUN
ejpam-4549	135	11	r	r	NOUN
ejpam-4549	135	12	sin	sin	NOUN
ejpam-4549	135	13	θ	θ	PROPN
ejpam-4549	135	14	∂ψ	∂ψ	PROPN
ejpam-4549	136	1	∂r	∂r	INTJ
ejpam-4549	136	2	−	−	NUM
ejpam-4549	137	1	1	1	NUM
ejpam-4549	137	2	r	r	NOUN
ejpam-4549	137	3	∂p	∂p	NOUN
ejpam-4549	137	4	∂θ	∂θ	PROPN
ejpam-4549	137	5	=	=	PUNCT
ejpam-4549	137	6	0	0	X
ejpam-4549	137	7	.	.	PUNCT
ejpam-4549	138	1	(	(	PUNCT
ejpam-4549	138	2	22	22	NUM
ejpam-4549	138	3	)	)	PUNCT
ejpam-4549	138	4	one	one	NOUN
ejpam-4549	138	5	can	can	AUX
ejpam-4549	138	6	easily	easily	ADV
ejpam-4549	138	7	eliminate	eliminate	VERB
ejpam-4549	138	8	the	the	DET
ejpam-4549	138	9	pressure	pressure	NOUN
ejpam-4549	138	10	from	from	ADP
ejpam-4549	138	11	equations	equation	NOUN
ejpam-4549	138	12	(	(	PUNCT
ejpam-4549	138	13	21	21	NUM
ejpam-4549	138	14	)	)	PUNCT
ejpam-4549	138	15	and	and	CCONJ
ejpam-4549	138	16	(	(	PUNCT
ejpam-4549	138	17	22	22	NUM
ejpam-4549	138	18	)	)	PUNCT
ejpam-4549	138	19	to	to	PART
ejpam-4549	138	20	get	get	VERB
ejpam-4549	138	21	the	the	DET
ejpam-4549	138	22	following	follow	VERB
ejpam-4549	138	23	partial	partial	ADJ
ejpam-4549	138	24	differential	differential	NOUN
ejpam-4549	138	25	equation	equation	NOUN
ejpam-4549	138	26	:	:	PUNCT
ejpam-4549	139	1	l−1	l−1	PROPN
ejpam-4549	139	2	(	(	PUNCT
ejpam-4549	139	3	l−1	l−1	PROPN
ejpam-4549	139	4	−	−	PROPN
ejpam-4549	139	5	α2	α2	ADJ
ejpam-4549	139	6	1	1	NUM
ejpam-4549	139	7	)	)	PUNCT
ejpam-4549	139	8	(	(	PUNCT
ejpam-4549	139	9	l−1	l−1	PROPN
ejpam-4549	139	10	−	−	NOUN
ejpam-4549	139	11	α2	α2	ADJ
ejpam-4549	139	12	2	2	NUM
ejpam-4549	139	13	)	)	PUNCT
ejpam-4549	139	14	ψ	ψ	NOUN
ejpam-4549	139	15	=	=	SYM
ejpam-4549	139	16	0	0	NUM
ejpam-4549	139	17	,	,	PUNCT
ejpam-4549	139	18	(	(	PUNCT
ejpam-4549	139	19	23	23	NUM
ejpam-4549	139	20	)	)	PUNCT
ejpam-4549	139	21	where	where	SCONJ
ejpam-4549	139	22	the	the	DET
ejpam-4549	139	23	axisymmetric	axisymmetric	ADJ
ejpam-4549	139	24	stokesian	stokesian	ADJ
ejpam-4549	139	25	operator	operator	NOUN
ejpam-4549	139	26	:	:	PUNCT
ejpam-4549	139	27	l−1	l−1	PROPN
ejpam-4549	139	28	=	=	SYM
ejpam-4549	139	29	∂2	∂2	NOUN
ejpam-4549	139	30	∂r2	∂r2	PROPN
ejpam-4549	139	31	+	+	CCONJ
ejpam-4549	139	32	1−ξ2	1−ξ2	NUM
ejpam-4549	139	33	r2	r2	PROPN
ejpam-4549	139	34	∂2	∂2	PROPN
ejpam-4549	139	35	∂ξ2	∂ξ2	PROPN
ejpam-4549	139	36	,	,	PUNCT
ejpam-4549	139	37	ξ	ξ	PROPN
ejpam-4549	139	38	=	=	SYM
ejpam-4549	139	39	cos	cos	PROPN
ejpam-4549	139	40	θ	θ	PROPN
ejpam-4549	139	41	,	,	PUNCT
ejpam-4549	139	42	α2	α2	ADJ
ejpam-4549	139	43	1α	1α	NUM
ejpam-4549	139	44	2	2	NUM
ejpam-4549	139	45	2	2	NUM
ejpam-4549	139	46	=	=	SYM
ejpam-4549	139	47	ζ2κ2	ζ2κ2	NOUN
ejpam-4549	139	48	,	,	PUNCT
ejpam-4549	139	49	α2	α2	NOUN
ejpam-4549	139	50	1	1	NUM
ejpam-4549	139	51	+	+	CCONJ
ejpam-4549	139	52	α2	α2	ADJ
ejpam-4549	139	53	2	2	NUM
ejpam-4549	139	54	=	=	NOUN
ejpam-4549	139	55	ζ2	ζ2	NOUN
ejpam-4549	139	56	,	,	PUNCT
ejpam-4549	139	57	α2	α2	NOUN
ejpam-4549	139	58	1	1	NUM
ejpam-4549	139	59	=	=	SYM
ejpam-4549	139	60	ζ2	ζ2	NOUN
ejpam-4549	139	61	+	+	CCONJ
ejpam-4549	139	62	ζ	ζ	NOUN
ejpam-4549	139	63	√	√	NUM
ejpam-4549	139	64	ζ2	ζ2	NOUN
ejpam-4549	139	65	−	−	PROPN
ejpam-4549	139	66	4κ2	4κ2	NUM
ejpam-4549	139	67	2	2	NUM
ejpam-4549	139	68	,	,	PUNCT
ejpam-4549	139	69	α2	α2	NOUN
ejpam-4549	139	70	2	2	NUM
ejpam-4549	139	71	=	=	NOUN
ejpam-4549	139	72	ζ2	ζ2	NOUN
ejpam-4549	139	73	−	−	NOUN
ejpam-4549	139	74	ζ	ζ	NOUN
ejpam-4549	139	75	√	√	NUM
ejpam-4549	139	76	ζ2	ζ2	NOUN
ejpam-4549	139	77	−	−	PROPN
ejpam-4549	139	78	4κ2	4κ2	NUM
ejpam-4549	139	79	2	2	NUM
ejpam-4549	139	80	.	.	PUNCT
ejpam-4549	140	1			NOUN
ejpam-4549	140	2	(	(	PUNCT
ejpam-4549	140	3	24	24	NUM
ejpam-4549	140	4	)	)	PUNCT
ejpam-4549	140	5	5	5	NUM
ejpam-4549	140	6	.	.	PUNCT
ejpam-4549	141	1	the	the	DET
ejpam-4549	141	2	solution	solution	NOUN
ejpam-4549	141	3	of	of	ADP
ejpam-4549	141	4	the	the	DET
ejpam-4549	141	5	problem	problem	NOUN
ejpam-4549	141	6	the	the	DET
ejpam-4549	141	7	regular	regular	ADJ
ejpam-4549	141	8	solution	solution	NOUN
ejpam-4549	141	9	of	of	ADP
ejpam-4549	141	10	the	the	DET
ejpam-4549	141	11	sixth	sixth	ADJ
ejpam-4549	141	12	order	order	NOUN
ejpam-4549	141	13	linear	linear	VERB
ejpam-4549	141	14	partial	partial	ADJ
ejpam-4549	141	15	differential	differential	NOUN
ejpam-4549	141	16	equation	equation	NOUN
ejpam-4549	141	17	(	(	PUNCT
ejpam-4549	141	18	23	23	NUM
ejpam-4549	141	19	)	)	PUNCT
ejpam-4549	141	20	is	be	AUX
ejpam-4549	141	21	obtained	obtain	VERB
ejpam-4549	141	22	by	by	ADP
ejpam-4549	141	23	using	use	VERB
ejpam-4549	141	24	the	the	DET
ejpam-4549	141	25	method	method	NOUN
ejpam-4549	141	26	of	of	ADP
ejpam-4549	141	27	separation	separation	NOUN
ejpam-4549	141	28	of	of	ADP
ejpam-4549	141	29	variables	variable	NOUN
ejpam-4549	141	30	is	be	AUX
ejpam-4549	141	31	given	give	VERB
ejpam-4549	141	32	:	:	PUNCT
ejpam-4549	141	33	ψ	ψ	X
ejpam-4549	141	34	=	=	SYM
ejpam-4549	141	35	1	1	NUM
ejpam-4549	141	36	2	2	NUM
ejpam-4549	141	37	(	(	PUNCT
ejpam-4549	141	38	ar−1	ar−1	PROPN
ejpam-4549	141	39	+	+	NOUN
ejpam-4549	141	40	br	br	NOUN
ejpam-4549	141	41	1	1	NUM
ejpam-4549	141	42	2k3	2k3	NUM
ejpam-4549	141	43	2	2	NUM
ejpam-4549	141	44	(	(	PUNCT
ejpam-4549	141	45	α1r	α1r	NOUN
ejpam-4549	141	46	)	)	PUNCT
ejpam-4549	141	47	+	+	CCONJ
ejpam-4549	141	48	cr	cr	PROPN
ejpam-4549	141	49	1	1	NUM
ejpam-4549	141	50	2k3	2k3	NUM
ejpam-4549	141	51	2	2	NUM
ejpam-4549	141	52	(	(	PUNCT
ejpam-4549	141	53	α2r	α2r	PROPN
ejpam-4549	141	54	)	)	PUNCT
ejpam-4549	141	55	)	)	PUNCT
ejpam-4549	141	56	sin2	sin2	PROPN
ejpam-4549	141	57	θ	θ	PROPN
ejpam-4549	141	58	,	,	PUNCT
ejpam-4549	141	59	(	(	PUNCT
ejpam-4549	141	60	25	25	NUM
ejpam-4549	141	61	)	)	PUNCT
ejpam-4549	141	62	where	where	SCONJ
ejpam-4549	141	63	the	the	DET
ejpam-4549	141	64	function	function	NOUN
ejpam-4549	141	65	k3	k3	VERB
ejpam-4549	141	66	2	2	NUM
ejpam-4549	141	67	(	(	PUNCT
ejpam-4549	141	68	.	.	PUNCT
ejpam-4549	141	69	)	)	PUNCT
ejpam-4549	141	70	is	be	AUX
ejpam-4549	141	71	the	the	DET
ejpam-4549	141	72	modified	modify	VERB
ejpam-4549	141	73	bessel	bessel	NOUN
ejpam-4549	141	74	functions	function	NOUN
ejpam-4549	141	75	of	of	ADP
ejpam-4549	141	76	the	the	DET
ejpam-4549	141	77	second	second	ADJ
ejpam-4549	141	78	kind	kind	NOUN
ejpam-4549	141	79	of	of	ADP
ejpam-4549	141	80	order	order	NOUN
ejpam-4549	141	81	3	3	NUM
ejpam-4549	141	82	2	2	NUM
ejpam-4549	141	83	where	where	SCONJ
ejpam-4549	141	84	a	a	DET
ejpam-4549	141	85	,	,	PUNCT
ejpam-4549	141	86	b	b	NOUN
ejpam-4549	141	87	,	,	PUNCT
ejpam-4549	141	88	c	c	PROPN
ejpam-4549	141	89	are	be	AUX
ejpam-4549	141	90	constants	constant	NOUN
ejpam-4549	141	91	can	can	AUX
ejpam-4549	141	92	be	be	AUX
ejpam-4549	141	93	determined	determine	VERB
ejpam-4549	141	94	from	from	ADP
ejpam-4549	141	95	the	the	DET
ejpam-4549	141	96	boundary	boundary	ADJ
ejpam-4549	141	97	conditions	condition	NOUN
ejpam-4549	141	98	.	.	PUNCT
ejpam-4549	142	1	substituting	substitute	VERB
ejpam-4549	142	2	equation	equation	NOUN
ejpam-4549	142	3	(	(	PUNCT
ejpam-4549	142	4	25	25	NUM
ejpam-4549	142	5	)	)	PUNCT
ejpam-4549	142	6	into	into	ADP
ejpam-4549	142	7	equation	equation	NOUN
ejpam-4549	142	8	(	(	PUNCT
ejpam-4549	142	9	16	16	NUM
ejpam-4549	142	10	)	)	PUNCT
ejpam-4549	142	11	,	,	PUNCT
ejpam-4549	142	12	we	we	PRON
ejpam-4549	142	13	get	get	VERB
ejpam-4549	142	14	the	the	DET
ejpam-4549	142	15	velocity	velocity	NOUN
ejpam-4549	142	16	components	component	NOUN
ejpam-4549	142	17	:	:	PUNCT
ejpam-4549	142	18	qr	qr	NOUN
ejpam-4549	142	19	=	=	SYM
ejpam-4549	142	20	(	(	PUNCT
ejpam-4549	142	21	ar−3	ar−3	NOUN
ejpam-4549	142	22	+	+	NOUN
ejpam-4549	142	23	br	br	PROPN
ejpam-4549	142	24	−3	−3	PROPN
ejpam-4549	142	25	2	2	NUM
ejpam-4549	142	26	k3	k3	VERB
ejpam-4549	142	27	2	2	NUM
ejpam-4549	142	28	(	(	PUNCT
ejpam-4549	142	29	α1r	α1r	NOUN
ejpam-4549	142	30	)	)	PUNCT
ejpam-4549	142	31	+	+	CCONJ
ejpam-4549	142	32	cr	cr	NUM
ejpam-4549	142	33	−3	−3	NOUN
ejpam-4549	142	34	2	2	NUM
ejpam-4549	142	35	k3	k3	VERB
ejpam-4549	142	36	2	2	NUM
ejpam-4549	142	37	(	(	PUNCT
ejpam-4549	142	38	α2r	α2r	PROPN
ejpam-4549	142	39	)	)	PUNCT
ejpam-4549	142	40	)	)	PUNCT
ejpam-4549	143	1	cos	cos	PROPN
ejpam-4549	143	2	θ	θ	PROPN
ejpam-4549	143	3	,	,	PUNCT
ejpam-4549	143	4	(	(	PUNCT
ejpam-4549	143	5	26	26	NUM
ejpam-4549	143	6	)	)	PUNCT
ejpam-4549	143	7	qθ	qθ	NOUN
ejpam-4549	143	8	=	=	NOUN
ejpam-4549	143	9	1	1	NUM
ejpam-4549	143	10	2	2	NUM
ejpam-4549	143	11	(	(	PUNCT
ejpam-4549	143	12	−ar−3−br	−ar−3−br	NOUN
ejpam-4549	143	13	−3	−3	NOUN
ejpam-4549	144	1	2	2	NUM
ejpam-4549	144	2	[	[	PUNCT
ejpam-4549	144	3	k3	k3	VERB
ejpam-4549	144	4	2	2	NUM
ejpam-4549	144	5	(	(	PUNCT
ejpam-4549	144	6	α1r	α1r	NOUN
ejpam-4549	144	7	)	)	PUNCT
ejpam-4549	144	8	+	+	SYM
ejpam-4549	144	9	α1rk1	α1rk1	NOUN
ejpam-4549	144	10	2	2	NUM
ejpam-4549	144	11	(	(	PUNCT
ejpam-4549	144	12	α1r	α1r	NOUN
ejpam-4549	144	13	)	)	PUNCT
ejpam-4549	144	14	]	]	PUNCT
ejpam-4549	145	1	−cr	−cr	X
ejpam-4549	145	2	−3	−3	PROPN
ejpam-4549	145	3	2	2	NUM
ejpam-4549	145	4	[	[	PUNCT
ejpam-4549	145	5	k3	k3	VERB
ejpam-4549	145	6	2	2	NUM
ejpam-4549	145	7	(	(	PUNCT
ejpam-4549	145	8	α2r	α2r	PROPN
ejpam-4549	145	9	)	)	PUNCT
ejpam-4549	146	1	+	+	CCONJ
ejpam-4549	146	2	α2rk1	α2rk1	ADJ
ejpam-4549	146	3	2	2	NUM
ejpam-4549	146	4	(	(	PUNCT
ejpam-4549	146	5	α2r	α2r	PROPN
ejpam-4549	146	6	)	)	PUNCT
ejpam-4549	146	7	]	]	PUNCT
ejpam-4549	146	8	)	)	PUNCT
ejpam-4549	146	9	sin	sin	NOUN
ejpam-4549	146	10	θ	θ	PROPN
ejpam-4549	146	11	,	,	PUNCT
ejpam-4549	146	12	(	(	PUNCT
ejpam-4549	146	13	27	27	NUM
ejpam-4549	146	14	)	)	PUNCT
ejpam-4549	146	15	inserting	insert	VERB
ejpam-4549	146	16	the	the	DET
ejpam-4549	146	17	two	two	NUM
ejpam-4549	146	18	expressions	expression	NOUN
ejpam-4549	146	19	(	(	PUNCT
ejpam-4549	146	20	26	26	NUM
ejpam-4549	146	21	)	)	PUNCT
ejpam-4549	146	22	and	and	CCONJ
ejpam-4549	146	23	(	(	PUNCT
ejpam-4549	146	24	27	27	NUM
ejpam-4549	146	25	)	)	PUNCT
ejpam-4549	146	26	into	into	ADP
ejpam-4549	146	27	the	the	DET
ejpam-4549	146	28	relation	relation	NOUN
ejpam-4549	146	29	(	(	PUNCT
ejpam-4549	146	30	8)	8)	NUM
ejpam-4549	146	31	,	,	PUNCT
ejpam-4549	146	32	we	we	PRON
ejpam-4549	146	33	get	get	VERB
ejpam-4549	146	34	:	:	PUNCT
ejpam-4549	146	35	ωϕ	ωϕ	ADP
ejpam-4549	146	36	=	=	SYM
ejpam-4549	146	37	1	1	NUM
ejpam-4549	146	38	4	4	NUM
ejpam-4549	146	39	(	(	PUNCT
ejpam-4549	146	40	bα2	bα2	NOUN
ejpam-4549	146	41	1r	1r	NUM
ejpam-4549	146	42	−1	−1	NOUN
ejpam-4549	146	43	2	2	NUM
ejpam-4549	146	44	k3	k3	VERB
ejpam-4549	146	45	2	2	NUM
ejpam-4549	146	46	(	(	PUNCT
ejpam-4549	146	47	α1r	α1r	NOUN
ejpam-4549	146	48	)	)	PUNCT
ejpam-4549	147	1	+	+	CCONJ
ejpam-4549	147	2	cα2	cα2	NOUN
ejpam-4549	147	3	2r	2r	NUM
ejpam-4549	147	4	−1	−1	NOUN
ejpam-4549	147	5	2	2	NUM
ejpam-4549	147	6	k3	k3	VERB
ejpam-4549	147	7	2	2	NUM
ejpam-4549	147	8	(	(	PUNCT
ejpam-4549	147	9	α2r	α2r	PROPN
ejpam-4549	147	10	)	)	PUNCT
ejpam-4549	147	11	)	)	PUNCT
ejpam-4549	147	12	sin	sin	NOUN
ejpam-4549	147	13	θ	θ	PROPN
ejpam-4549	147	14	.	.	PUNCT
ejpam-4549	148	1	(	(	PUNCT
ejpam-4549	148	2	28	28	NUM
ejpam-4549	148	3	)	)	PUNCT
ejpam-4549	148	4	the	the	DET
ejpam-4549	148	5	expression	expression	NOUN
ejpam-4549	148	6	for	for	ADP
ejpam-4549	148	7	pressure	pressure	NOUN
ejpam-4549	148	8	is	be	AUX
ejpam-4549	148	9	:	:	PUNCT
ejpam-4549	148	10	p	p	X
ejpam-4549	148	11	=	=	PUNCT
ejpam-4549	148	12	−−1	−−1	X
ejpam-4549	148	13	2r2	2r2	NUM
ejpam-4549	148	14	κ2a	κ2a	PROPN
ejpam-4549	148	15	cos	cos	PROPN
ejpam-4549	148	16	θ	θ	PROPN
ejpam-4549	148	17	.	.	PUNCT
ejpam-4549	149	1	(	(	PUNCT
ejpam-4549	149	2	29	29	NUM
ejpam-4549	149	3	)	)	PUNCT
ejpam-4549	149	4	shreen	shreen	PROPN
ejpam-4549	149	5	el	el	PROPN
ejpam-4549	149	6	-	-	PUNCT
ejpam-4549	149	7	sapa	sapa	PROPN
ejpam-4549	149	8	/	/	SYM
ejpam-4549	149	9	eur	eur	NOUN
ejpam-4549	149	10	.	.	PUNCT
ejpam-4549	150	1	j.	j.	PROPN
ejpam-4549	150	2	pure	pure	PROPN
ejpam-4549	150	3	appl	appl	PROPN
ejpam-4549	150	4	.	.	PROPN
ejpam-4549	150	5	math	math	PROPN
ejpam-4549	150	6	,	,	PUNCT
ejpam-4549	150	7	15	15	NUM
ejpam-4549	150	8	(	(	PUNCT
ejpam-4549	150	9	4	4	NUM
ejpam-4549	150	10	)	)	PUNCT
ejpam-4549	150	11	(	(	PUNCT
ejpam-4549	150	12	2022	2022	NUM
ejpam-4549	150	13	)	)	PUNCT
ejpam-4549	150	14	,	,	PUNCT
ejpam-4549	150	15	1566	1566	NUM
ejpam-4549	150	16	-	-	SYM
ejpam-4549	150	17	1592	1592	NUM
ejpam-4549	150	18	1573	1573	NUM
ejpam-4549	150	19	6	6	NUM
ejpam-4549	150	20	.	.	PUNCT
ejpam-4549	151	1	boundary	boundary	ADJ
ejpam-4549	151	2	conditions	condition	NOUN
ejpam-4549	151	3	on	on	ADP
ejpam-4549	151	4	the	the	DET
ejpam-4549	151	5	surface	surface	NOUN
ejpam-4549	151	6	of	of	ADP
ejpam-4549	151	7	the	the	DET
ejpam-4549	151	8	aerosol	aerosol	NOUN
ejpam-4549	151	9	particle	particle	NOUN
ejpam-4549	151	10	,	,	PUNCT
ejpam-4549	151	11	r	r	NOUN
ejpam-4549	151	12	=	=	SYM
ejpam-4549	151	13	a	a	NOUN
ejpam-4549	151	14	,	,	PUNCT
ejpam-4549	151	15	we	we	PRON
ejpam-4549	151	16	require	require	VERB
ejpam-4549	151	17	three	three	NUM
ejpam-4549	151	18	boundary	boundary	ADJ
ejpam-4549	151	19	conditions	condition	NOUN
ejpam-4549	151	20	to	to	PART
ejpam-4549	151	21	find	find	VERB
ejpam-4549	151	22	the	the	DET
ejpam-4549	151	23	unknowns	unknown	NOUN
ejpam-4549	151	24	a	a	DET
ejpam-4549	151	25	,	,	PUNCT
ejpam-4549	151	26	b	b	NOUN
ejpam-4549	151	27	,	,	PUNCT
ejpam-4549	151	28	and	and	CCONJ
ejpam-4549	151	29	c.	c.	PROPN
ejpam-4549	151	30	recently	recently	ADV
ejpam-4549	151	31	,	,	PUNCT
ejpam-4549	151	32	some	some	DET
ejpam-4549	151	33	researchers	researcher	NOUN
ejpam-4549	151	34	have	have	AUX
ejpam-4549	151	35	studied	study	VERB
ejpam-4549	151	36	the	the	DET
ejpam-4549	151	37	slip	slip	NOUN
ejpam-4549	151	38	effect	effect	NOUN
ejpam-4549	151	39	on	on	ADP
ejpam-4549	151	40	the	the	DET
ejpam-4549	151	41	solid	solid	ADJ
ejpam-4549	151	42	spheres	sphere	NOUN
ejpam-4549	151	43	(	(	PUNCT
ejpam-4549	151	44	9),(26)-(28	9),(26)-(28	NOUN
ejpam-4549	151	45	)	)	PUNCT
ejpam-4549	151	46	.	.	PUNCT
ejpam-4549	152	1	(	(	PUNCT
ejpam-4549	152	2	i	i	NOUN
ejpam-4549	152	3	)	)	PUNCT
ejpam-4549	152	4	the	the	DET
ejpam-4549	152	5	kinematic	kinematic	ADJ
ejpam-4549	152	6	impenetrability	impenetrability	NOUN
ejpam-4549	152	7	boundary	boundary	ADJ
ejpam-4549	152	8	condition	condition	NOUN
ejpam-4549	152	9	is	be	AUX
ejpam-4549	152	10	:	:	PUNCT
ejpam-4549	152	11	qr	qr	PROPN
ejpam-4549	152	12	=	=	SYM
ejpam-4549	152	13	u	u	PROPN
ejpam-4549	152	14	cos	cos	PROPN
ejpam-4549	152	15	θ	θ	PROPN
ejpam-4549	152	16	,	,	PUNCT
ejpam-4549	152	17	(	(	PUNCT
ejpam-4549	152	18	30	30	NUM
ejpam-4549	152	19	)	)	PUNCT
ejpam-4549	152	20	(	(	PUNCT
ejpam-4549	152	21	ii	ii	NOUN
ejpam-4549	152	22	)	)	PUNCT
ejpam-4549	152	23	the	the	DET
ejpam-4549	152	24	dynamic	dynamic	ADJ
ejpam-4549	152	25	slip	slip	NOUN
ejpam-4549	152	26	boundary	boundary	ADJ
ejpam-4549	152	27	condition	condition	NOUN
ejpam-4549	152	28	where	where	SCONJ
ejpam-4549	152	29	the	the	DET
ejpam-4549	152	30	tangential	tangential	ADJ
ejpam-4549	152	31	velocity	velocity	NOUN
ejpam-4549	152	32	of	of	ADP
ejpam-4549	152	33	the	the	DET
ejpam-4549	152	34	couple	couple	NOUN
ejpam-4549	152	35	stress	stress	NOUN
ejpam-4549	152	36	fluid	fluid	NOUN
ejpam-4549	152	37	relative	relative	ADJ
ejpam-4549	152	38	to	to	ADP
ejpam-4549	152	39	the	the	DET
ejpam-4549	152	40	solid	solid	ADJ
ejpam-4549	152	41	at	at	ADP
ejpam-4549	152	42	a	a	DET
ejpam-4549	152	43	point	point	NOUN
ejpam-4549	152	44	on	on	ADP
ejpam-4549	152	45	its	its	PRON
ejpam-4549	152	46	surface	surface	NOUN
ejpam-4549	152	47	is	be	AUX
ejpam-4549	152	48	proportional	proportional	ADJ
ejpam-4549	152	49	to	to	ADP
ejpam-4549	152	50	the	the	DET
ejpam-4549	152	51	tangential	tangential	ADJ
ejpam-4549	152	52	stress	stress	NOUN
ejpam-4549	152	53	prevailing	prevail	VERB
ejpam-4549	152	54	at	at	ADP
ejpam-4549	152	55	that	that	DET
ejpam-4549	152	56	point	point	NOUN
ejpam-4549	152	57	.	.	PUNCT
ejpam-4549	153	1	the	the	DET
ejpam-4549	153	2	latter	latter	ADJ
ejpam-4549	153	3	is	be	AUX
ejpam-4549	153	4	known	know	VERB
ejpam-4549	153	5	as	as	ADP
ejpam-4549	153	6	the	the	DET
ejpam-4549	153	7	slip	slip	NOUN
ejpam-4549	153	8	boundary	boundary	ADJ
ejpam-4549	153	9	condition	condition	NOUN
ejpam-4549	153	10	introduced	introduce	VERB
ejpam-4549	153	11	by	by	ADP
ejpam-4549	153	12	navier	navier	NOUN
ejpam-4549	153	13	in	in	ADP
ejpam-4549	153	14	1823	1823	NUM
ejpam-4549	153	15	:	:	PUNCT
ejpam-4549	153	16	qθ	qθ	PROPN
ejpam-4549	153	17	=	=	SYM
ejpam-4549	153	18	−u	−u	PROPN
ejpam-4549	153	19	sin	sin	VERB
ejpam-4549	153	20	θ	θ	PROPN
ejpam-4549	153	21	+	+	CCONJ
ejpam-4549	153	22	1	1	NUM
ejpam-4549	153	23	β1	β1	NOUN
ejpam-4549	153	24	trθ	trθ	NOUN
ejpam-4549	153	25	,	,	PUNCT
ejpam-4549	153	26	(	(	PUNCT
ejpam-4549	153	27	31	31	NUM
ejpam-4549	153	28	)	)	PUNCT
ejpam-4549	153	29	(	(	PUNCT
ejpam-4549	153	30	iii	iii	X
ejpam-4549	153	31	)	)	PUNCT
ejpam-4549	153	32	the	the	DET
ejpam-4549	153	33	spin	spin	NOUN
ejpam-4549	153	34	slip	slip	VERB
ejpam-4549	153	35	couple	couple	NOUN
ejpam-4549	153	36	stress	stress	NOUN
ejpam-4549	153	37	condition	condition	NOUN
ejpam-4549	153	38	is	be	AUX
ejpam-4549	153	39	given	give	VERB
ejpam-4549	153	40	as	as	ADP
ejpam-4549	153	41	:	:	PUNCT
ejpam-4549	153	42	ωϕ	ωϕ	ADP
ejpam-4549	153	43	=	=	SYM
ejpam-4549	153	44	1	1	NUM
ejpam-4549	153	45	β2	β2	NOUN
ejpam-4549	153	46	mrϕ	mrϕ	NOUN
ejpam-4549	153	47	,	,	PUNCT
ejpam-4549	153	48	(	(	PUNCT
ejpam-4549	153	49	32	32	NUM
ejpam-4549	153	50	)	)	PUNCT
ejpam-4549	153	51	where	where	SCONJ
ejpam-4549	153	52	β1	β1	PROPN
ejpam-4549	153	53	is	be	AUX
ejpam-4549	153	54	the	the	DET
ejpam-4549	153	55	velocity	velocity	NOUN
ejpam-4549	153	56	slip	slip	NOUN
ejpam-4549	153	57	coefficient	coefficient	NOUN
ejpam-4549	153	58	and	and	CCONJ
ejpam-4549	153	59	β2	β2	NOUN
ejpam-4549	153	60	is	be	AUX
ejpam-4549	153	61	the	the	DET
ejpam-4549	153	62	spin	spin	NOUN
ejpam-4549	153	63	slip	slip	NOUN
ejpam-4549	153	64	coefficient	coefficient	NOUN
ejpam-4549	153	65	.	.	PUNCT
ejpam-4549	154	1	therefore	therefore	ADV
ejpam-4549	154	2	,	,	PUNCT
ejpam-4549	154	3	•	•	ADP
ejpam-4549	154	4	the	the	DET
ejpam-4549	154	5	slips	slip	NOUN
ejpam-4549	154	6	coefficients	coefficient	NOUN
ejpam-4549	154	7	depend	depend	VERB
ejpam-4549	154	8	on	on	ADP
ejpam-4549	154	9	the	the	DET
ejpam-4549	154	10	nature	nature	NOUN
ejpam-4549	154	11	of	of	ADP
ejpam-4549	154	12	the	the	DET
ejpam-4549	154	13	solid	solid	ADJ
ejpam-4549	154	14	and	and	CCONJ
ejpam-4549	154	15	fluid	fluid	ADJ
ejpam-4549	154	16	surface	surface	NOUN
ejpam-4549	154	17	.	.	PUNCT
ejpam-4549	155	1	•	•	NOUN
ejpam-4549	155	2	in	in	ADP
ejpam-4549	155	3	the	the	DET
ejpam-4549	155	4	limiting	limit	VERB
ejpam-4549	155	5	case	case	NOUN
ejpam-4549	155	6	of	of	ADP
ejpam-4549	155	7	β1	β1	PROPN
ejpam-4549	155	8	→	→	SYM
ejpam-4549	155	9	0	0	NUM
ejpam-4549	155	10	,	,	PUNCT
ejpam-4549	155	11	there	there	PRON
ejpam-4549	155	12	is	be	VERB
ejpam-4549	155	13	a	a	DET
ejpam-4549	155	14	perfect	perfect	ADJ
ejpam-4549	155	15	slip	slip	NOUN
ejpam-4549	155	16	and	and	CCONJ
ejpam-4549	155	17	the	the	DET
ejpam-4549	155	18	solid	solid	ADJ
ejpam-4549	155	19	sphere	sphere	NOUN
ejpam-4549	155	20	acts	act	NOUN
ejpam-4549	155	21	like	like	ADP
ejpam-4549	155	22	a	a	DET
ejpam-4549	155	23	spherical	spherical	ADJ
ejpam-4549	155	24	gas	gas	NOUN
ejpam-4549	155	25	bubble	bubble	NOUN
ejpam-4549	155	26	if	if	SCONJ
ejpam-4549	155	27	β1	β1	PROPN
ejpam-4549	155	28	→	→	SYM
ejpam-4549	155	29	∞	∞	PROPN
ejpam-4549	155	30	,	,	PUNCT
ejpam-4549	155	31	we	we	PRON
ejpam-4549	155	32	get	get	VERB
ejpam-4549	155	33	the	the	DET
ejpam-4549	155	34	standard	standard	ADJ
ejpam-4549	155	35	no	no	DET
ejpam-4549	155	36	-	-	PUNCT
ejpam-4549	155	37	slip	slip	NOUN
ejpam-4549	155	38	condition	condition	NOUN
ejpam-4549	155	39	.	.	PUNCT
ejpam-4549	156	1	•	•	NUM
ejpam-4549	156	2	also	also	ADV
ejpam-4549	156	3	,	,	PUNCT
ejpam-4549	156	4	for	for	ADP
ejpam-4549	156	5	β2	β2	PROPN
ejpam-4549	156	6	→	→	SYM
ejpam-4549	156	7	0	0	NUM
ejpam-4549	156	8	we	we	PRON
ejpam-4549	156	9	have	have	VERB
ejpam-4549	156	10	the	the	DET
ejpam-4549	156	11	couple	couple	NOUN
ejpam-4549	156	12	stress	stress	NOUN
ejpam-4549	156	13	zero	zero	NUM
ejpam-4549	156	14	at	at	ADP
ejpam-4549	156	15	the	the	DET
ejpam-4549	156	16	boundary	boundary	ADJ
ejpam-4549	156	17	which	which	PRON
ejpam-4549	156	18	means	mean	VERB
ejpam-4549	156	19	that	that	SCONJ
ejpam-4549	156	20	the	the	DET
ejpam-4549	156	21	mechanical	mechanical	ADJ
ejpam-4549	156	22	interactions	interaction	NOUN
ejpam-4549	156	23	at	at	ADP
ejpam-4549	156	24	the	the	DET
ejpam-4549	156	25	surface	surface	NOUN
ejpam-4549	156	26	are	be	AUX
ejpam-4549	156	27	equipollent	equipollent	NOUN
ejpam-4549	156	28	to	to	ADP
ejpam-4549	156	29	a	a	DET
ejpam-4549	156	30	force	force	NOUN
ejpam-4549	156	31	distribution	distribution	NOUN
ejpam-4549	156	32	only	only	ADV
ejpam-4549	156	33	.	.	PUNCT
ejpam-4549	157	1	on	on	ADP
ejpam-4549	157	2	the	the	DET
ejpam-4549	157	3	other	other	ADJ
ejpam-4549	157	4	hand	hand	NOUN
ejpam-4549	157	5	,	,	PUNCT
ejpam-4549	157	6	when	when	SCONJ
ejpam-4549	157	7	β2	β2	PROPN
ejpam-4549	157	8	→	→	PROPN
ejpam-4549	157	9	∞	∞	PROPN
ejpam-4549	157	10	this	this	PRON
ejpam-4549	157	11	is	be	AUX
ejpam-4549	157	12	equivalent	equivalent	ADJ
ejpam-4549	157	13	to	to	PART
ejpam-4549	157	14	prevent	prevent	VERB
ejpam-4549	157	15	relative	relative	ADJ
ejpam-4549	157	16	rotation	rotation	NOUN
ejpam-4549	157	17	of	of	ADP
ejpam-4549	157	18	the	the	DET
ejpam-4549	157	19	fluid	fluid	ADJ
ejpam-4549	157	20	element	element	NOUN
ejpam-4549	157	21	at	at	ADP
ejpam-4549	157	22	the	the	DET
ejpam-4549	157	23	surface	surface	NOUN
ejpam-4549	157	24	of	of	ADP
ejpam-4549	157	25	the	the	DET
ejpam-4549	157	26	aerosol	aerosol	NOUN
ejpam-4549	157	27	.	.	PUNCT
ejpam-4549	158	1	the	the	DET
ejpam-4549	158	2	expressions	expression	NOUN
ejpam-4549	158	3	for	for	ADP
ejpam-4549	158	4	stress	stress	NOUN
ejpam-4549	158	5	and	and	CCONJ
ejpam-4549	158	6	couple	couple	NOUN
ejpam-4549	158	7	stress	stress	NOUN
ejpam-4549	158	8	components	component	NOUN
ejpam-4549	158	9	from	from	ADP
ejpam-4549	158	10	appendix	appendix	PROPN
ejpam-4549	158	11	(	(	PUNCT
ejpam-4549	158	12	a.4	a.4	X
ejpam-4549	158	13	)	)	PUNCT
ejpam-4549	158	14	are	be	AUX
ejpam-4549	158	15	:	:	PUNCT
ejpam-4549	158	16	trr	trr	NOUN
ejpam-4549	158	17	=	=	PUNCT
ejpam-4549	158	18	(	(	PUNCT
ejpam-4549	158	19	1	1	NUM
ejpam-4549	158	20	2r	2r	NUM
ejpam-4549	158	21	−4(κ2r2	−4(κ2r2	ADP
ejpam-4549	158	22	+	+	NOUN
ejpam-4549	158	23	12)a+	12)a+	NUM
ejpam-4549	158	24	2br	2br	ADJ
ejpam-4549	158	25	−5	−5	ADP
ejpam-4549	158	26	2	2	NUM
ejpam-4549	158	27	[	[	PUNCT
ejpam-4549	158	28	3k3	3k3	NUM
ejpam-4549	158	29	2	2	NUM
ejpam-4549	158	30	(	(	PUNCT
ejpam-4549	158	31	α1r	α1r	NOUN
ejpam-4549	158	32	)	)	PUNCT
ejpam-4549	158	33	+	+	SYM
ejpam-4549	158	34	α1rk1	α1rk1	NOUN
ejpam-4549	158	35	2	2	NUM
ejpam-4549	158	36	(	(	PUNCT
ejpam-4549	158	37	α1r	α1r	NOUN
ejpam-4549	158	38	)	)	PUNCT
ejpam-4549	158	39	]	]	PUNCT
ejpam-4549	159	1	+2cr	+2cr	PUNCT
ejpam-4549	159	2	−5	−5	ADV
ejpam-4549	159	3	2	2	NUM
ejpam-4549	159	4	[	[	PUNCT
ejpam-4549	159	5	3k3	3k3	NUM
ejpam-4549	159	6	2	2	NUM
ejpam-4549	159	7	(	(	PUNCT
ejpam-4549	159	8	α2r	α2r	PROPN
ejpam-4549	159	9	)	)	PUNCT
ejpam-4549	159	10	+	+	CCONJ
ejpam-4549	159	11	α2rk1	α2rk1	ADJ
ejpam-4549	159	12	2	2	NUM
ejpam-4549	159	13	(	(	PUNCT
ejpam-4549	159	14	α2r	α2r	PROPN
ejpam-4549	159	15	)	)	PUNCT
ejpam-4549	159	16	]	]	PUNCT
ejpam-4549	159	17	)	)	PUNCT
ejpam-4549	159	18	cos	cos	PROPN
ejpam-4549	159	19	θ	θ	PROPN
ejpam-4549	159	20	,	,	PUNCT
ejpam-4549	159	21	(	(	PUNCT
ejpam-4549	159	22	33	33	NUM
ejpam-4549	159	23	)	)	PUNCT
ejpam-4549	159	24	trθ	trθ	NOUN
ejpam-4549	159	25	=	=	PUNCT
ejpam-4549	159	26	(	(	PUNCT
ejpam-4549	159	27	3r−4a+1	3r−4a+1	NUM
ejpam-4549	159	28	2br	2br	NOUN
ejpam-4549	159	29	−5	−5	ADP
ejpam-4549	159	30	2	2	NUM
ejpam-4549	159	31	[	[	PUNCT
ejpam-4549	159	32	(	(	PUNCT
ejpam-4549	159	33	α2	α2	ADJ
ejpam-4549	159	34	1r	1r	NOUN
ejpam-4549	159	35	2	2	NUM
ejpam-4549	159	36	+	+	CCONJ
ejpam-4549	159	37	6−	6−	NUM
ejpam-4549	159	38	α4	α4	NOUN
ejpam-4549	159	39	1ζ	1ζ	NUM
ejpam-4549	159	40	−2r2)k3	−2r2)k3	NOUN
ejpam-4549	159	41	2	2	NUM
ejpam-4549	159	42	(	(	PUNCT
ejpam-4549	159	43	α1r	α1r	NOUN
ejpam-4549	159	44	)	)	PUNCT
ejpam-4549	159	45	+	+	CCONJ
ejpam-4549	159	46	2α1rk1	2α1rk1	NUM
ejpam-4549	159	47	2	2	NUM
ejpam-4549	159	48	(	(	PUNCT
ejpam-4549	159	49	α1r	α1r	NOUN
ejpam-4549	159	50	)	)	PUNCT
ejpam-4549	159	51	]	]	PUNCT
ejpam-4549	160	1	+1	+1	PROPN
ejpam-4549	160	2	2cr	2cr	NOUN
ejpam-4549	160	3	−5	−5	ADV
ejpam-4549	160	4	2	2	X
ejpam-4549	160	5	[	[	PUNCT
ejpam-4549	160	6	(	(	PUNCT
ejpam-4549	160	7	α2	α2	NOUN
ejpam-4549	160	8	2r	2r	NUM
ejpam-4549	160	9	2	2	NUM
ejpam-4549	160	10	+	+	CCONJ
ejpam-4549	160	11	6−	6−	NUM
ejpam-4549	160	12	α4	α4	NOUN
ejpam-4549	160	13	2ζ	2ζ	NUM
ejpam-4549	160	14	−2r2)k3	−2r2)k3	ADJ
ejpam-4549	160	15	2	2	NUM
ejpam-4549	160	16	(	(	PUNCT
ejpam-4549	160	17	α2r	α2r	PROPN
ejpam-4549	160	18	)	)	PUNCT
ejpam-4549	160	19	+	+	CCONJ
ejpam-4549	160	20	2α2rk1	2α2rk1	NUM
ejpam-4549	160	21	2	2	NUM
ejpam-4549	160	22	(	(	PUNCT
ejpam-4549	160	23	α2r	α2r	PROPN
ejpam-4549	160	24	)	)	PUNCT
ejpam-4549	160	25	]	]	PUNCT
ejpam-4549	160	26	)	)	PUNCT
ejpam-4549	160	27	sin	sin	NOUN
ejpam-4549	160	28	θ	θ	PROPN
ejpam-4549	160	29	,	,	PUNCT
ejpam-4549	160	30	(	(	PUNCT
ejpam-4549	160	31	34	34	NUM
ejpam-4549	160	32	)	)	PUNCT
ejpam-4549	160	33	shreen	shreen	PROPN
ejpam-4549	160	34	el	el	PROPN
ejpam-4549	160	35	-	-	PUNCT
ejpam-4549	160	36	sapa	sapa	PROPN
ejpam-4549	160	37	/	/	SYM
ejpam-4549	160	38	eur	eur	NOUN
ejpam-4549	160	39	.	.	PUNCT
ejpam-4549	161	1	j.	j.	PROPN
ejpam-4549	161	2	pure	pure	PROPN
ejpam-4549	161	3	appl	appl	PROPN
ejpam-4549	161	4	.	.	PROPN
ejpam-4549	161	5	math	math	PROPN
ejpam-4549	161	6	,	,	PUNCT
ejpam-4549	161	7	15	15	NUM
ejpam-4549	161	8	(	(	PUNCT
ejpam-4549	161	9	4	4	NUM
ejpam-4549	161	10	)	)	PUNCT
ejpam-4549	161	11	(	(	PUNCT
ejpam-4549	161	12	2022	2022	NUM
ejpam-4549	161	13	)	)	PUNCT
ejpam-4549	161	14	,	,	PUNCT
ejpam-4549	161	15	1566	1566	NUM
ejpam-4549	161	16	-	-	SYM
ejpam-4549	161	17	1592	1592	NUM
ejpam-4549	161	18	1574	1574	NUM
ejpam-4549	161	19	therefore	therefore	ADV
ejpam-4549	161	20	,	,	PUNCT
ejpam-4549	161	21	relation	relation	NOUN
ejpam-4549	161	22	(	(	PUNCT
ejpam-4549	161	23	20	20	NUM
ejpam-4549	161	24	)	)	PUNCT
ejpam-4549	161	25	gives	give	VERB
ejpam-4549	161	26	:	:	PUNCT
ejpam-4549	161	27	mrϕ	mrϕ	NOUN
ejpam-4549	161	28	=	=	PRON
ejpam-4549	161	29	−	−	PROPN
ejpam-4549	161	30	(	(	PUNCT
ejpam-4549	161	31	bα2	bα2	NOUN
ejpam-4549	161	32	1r	1r	NUM
ejpam-4549	161	33	−3	−3	NOUN
ejpam-4549	161	34	2	2	NUM
ejpam-4549	161	35	[	[	PUNCT
ejpam-4549	161	36	(	(	PUNCT
ejpam-4549	161	37	2ζ−2	2ζ−2	NUM
ejpam-4549	161	38	+	+	NOUN
ejpam-4549	161	39	ζ−	ζ−	NOUN
ejpam-4549	161	40	′2)k3	′2)k3	NOUN
ejpam-4549	161	41	2	2	NUM
ejpam-4549	161	42	(	(	PUNCT
ejpam-4549	161	43	α1r	α1r	NOUN
ejpam-4549	161	44	)	)	PUNCT
ejpam-4549	161	45	+	+	CCONJ
ejpam-4549	161	46	α1rζ	α1rζ	SYM
ejpam-4549	161	47	−2k1	−2k1	NUM
ejpam-4549	161	48	2	2	NUM
ejpam-4549	161	49	(	(	PUNCT
ejpam-4549	161	50	α1r	α1r	NOUN
ejpam-4549	161	51	)	)	PUNCT
ejpam-4549	161	52	]	]	PUNCT
ejpam-4549	162	1	+	+	PUNCT
ejpam-4549	162	2	cα2	cα2	NOUN
ejpam-4549	162	3	2r	2r	NUM
ejpam-4549	162	4	−5	−5	NOUN
ejpam-4549	162	5	2	2	NUM
ejpam-4549	162	6	[	[	PUNCT
ejpam-4549	162	7	(	(	PUNCT
ejpam-4549	162	8	2ζ−2	2ζ−2	NUM
ejpam-4549	162	9	+	+	NOUN
ejpam-4549	162	10	ζ−	ζ−	NOUN
ejpam-4549	162	11	′2)k3	′2)k3	NOUN
ejpam-4549	162	12	2	2	NUM
ejpam-4549	162	13	(	(	PUNCT
ejpam-4549	162	14	α2r	α2r	PROPN
ejpam-4549	162	15	)	)	PUNCT
ejpam-4549	162	16	+	+	NUM
ejpam-4549	162	17	α2rζ	α2rζ	NUM
ejpam-4549	162	18	−2k1	−2k1	NUM
ejpam-4549	162	19	2	2	NUM
ejpam-4549	162	20	(	(	PUNCT
ejpam-4549	162	21	α2r	α2r	PROPN
ejpam-4549	162	22	)	)	PUNCT
ejpam-4549	162	23	]	]	PUNCT
ejpam-4549	162	24	)	)	PUNCT
ejpam-4549	162	25	sin	sin	NOUN
ejpam-4549	162	26	θ	θ	PROPN
ejpam-4549	162	27	.	.	PUNCT
ejpam-4549	162	28	(	(	PUNCT
ejpam-4549	162	29	35	35	NUM
ejpam-4549	162	30	)	)	PUNCT
ejpam-4549	162	31	7	7	NUM
ejpam-4549	162	32	.	.	PUNCT
ejpam-4549	162	33	drag	drag	NOUN
ejpam-4549	162	34	force	force	NOUN
ejpam-4549	162	35	the	the	DET
ejpam-4549	162	36	formula	formula	NOUN
ejpam-4549	162	37	of	of	ADP
ejpam-4549	162	38	drag	drag	NOUN
ejpam-4549	162	39	force	force	NOUN
ejpam-4549	162	40	operating	operate	VERB
ejpam-4549	162	41	on	on	ADP
ejpam-4549	162	42	the	the	DET
ejpam-4549	162	43	axisymmetric	axisymmetric	ADJ
ejpam-4549	162	44	rigid	rigid	ADJ
ejpam-4549	162	45	particle	particle	NOUN
ejpam-4549	162	46	along	along	ADP
ejpam-4549	162	47	the	the	DET
ejpam-4549	162	48	axis	axis	NOUN
ejpam-4549	162	49	of	of	ADP
ejpam-4549	162	50	symmetry	symmetry	NOUN
ejpam-4549	162	51	has	have	AUX
ejpam-4549	162	52	been	be	AUX
ejpam-4549	162	53	shown	show	VERB
ejpam-4549	162	54	by	by	ADP
ejpam-4549	162	55	h3	h3	NOUN
ejpam-4549	162	56	:	:	PUNCT
ejpam-4549	162	57	fz	fz	PROPN
ejpam-4549	162	58	=	=	NOUN
ejpam-4549	162	59	2πa2	2πa2	NUM
ejpam-4549	162	60	∫	∫	PROPN
ejpam-4549	162	61	π	π	X
ejpam-4549	162	62	0	0	PUNCT
ejpam-4549	163	1	(	(	PUNCT
ejpam-4549	163	2	trr	trr	PROPN
ejpam-4549	163	3	cos	cos	PROPN
ejpam-4549	163	4	θ	θ	PROPN
ejpam-4549	163	5	−	−	PROPN
ejpam-4549	163	6	trθ	trθ	NOUN
ejpam-4549	163	7	sin	sin	NOUN
ejpam-4549	163	8	θ	θ	NOUN
ejpam-4549	163	9	)	)	PUNCT
ejpam-4549	164	1	r	r	X
ejpam-4549	164	2	=	=	SYM
ejpam-4549	164	3	a	a	DET
ejpam-4549	164	4	sin	sin	NOUN
ejpam-4549	164	5	θdθ	θdθ	NOUN
ejpam-4549	164	6	(	(	PUNCT
ejpam-4549	164	7	36	36	NUM
ejpam-4549	164	8	)	)	PUNCT
ejpam-4549	164	9	inserting	insert	VERB
ejpam-4549	164	10	the	the	DET
ejpam-4549	164	11	expressions	expression	NOUN
ejpam-4549	164	12	(	(	PUNCT
ejpam-4549	164	13	33	33	NUM
ejpam-4549	164	14	)	)	PUNCT
ejpam-4549	164	15	and	and	CCONJ
ejpam-4549	164	16	(	(	PUNCT
ejpam-4549	164	17	34	34	NUM
ejpam-4549	164	18	)	)	PUNCT
ejpam-4549	164	19	into	into	ADP
ejpam-4549	164	20	(	(	PUNCT
ejpam-4549	164	21	36	36	NUM
ejpam-4549	164	22	)	)	PUNCT
ejpam-4549	164	23	,	,	PUNCT
ejpam-4549	164	24	we	we	PRON
ejpam-4549	164	25	arrive	arrive	VERB
ejpam-4549	164	26	at	at	ADP
ejpam-4549	164	27	the	the	DET
ejpam-4549	164	28	following	following	NOUN
ejpam-4549	164	29	:	:	PUNCT
ejpam-4549	164	30	fz	fz	PROPN
ejpam-4549	164	31	πa2	πa2	NOUN
ejpam-4549	165	1	=	=	SYM
ejpam-4549	165	2	2	2	NUM
ejpam-4549	165	3	3	3	NUM
ejpam-4549	165	4	(	(	PUNCT
ejpam-4549	165	5	κ2a−2a+2ba	κ2a−2a+2ba	ADJ
ejpam-4549	165	6	−5	−5	NOUN
ejpam-4549	165	7	2	2	NUM
ejpam-4549	165	8	[	[	PUNCT
ejpam-4549	165	9	α2	α2	NOUN
ejpam-4549	165	10	1a	1a	X
ejpam-4549	165	11	2ζ−2(α2	2ζ−2(α2	NUM
ejpam-4549	165	12	1	1	NUM
ejpam-4549	165	13	−	−	NOUN
ejpam-4549	165	14	ζ2)k3	ζ2)k3	NOUN
ejpam-4549	165	15	2	2	NUM
ejpam-4549	165	16	(	(	PUNCT
ejpam-4549	165	17	α1r	α1r	NOUN
ejpam-4549	165	18	)	)	PUNCT
ejpam-4549	165	19	]	]	PUNCT
ejpam-4549	166	1	+2ca	+2ca	NOUN
ejpam-4549	166	2	−5	−5	ADV
ejpam-4549	166	3	2	2	X
ejpam-4549	166	4	[	[	PUNCT
ejpam-4549	166	5	α2	α2	ADJ
ejpam-4549	166	6	2a	2a	NUM
ejpam-4549	166	7	2ζ−2(α2	2ζ−2(α2	NUM
ejpam-4549	166	8	2	2	NUM
ejpam-4549	166	9	−	−	NOUN
ejpam-4549	166	10	ζ2)k3	ζ2)k3	NOUN
ejpam-4549	166	11	2	2	NUM
ejpam-4549	166	12	(	(	PUNCT
ejpam-4549	166	13	α2r	α2r	PROPN
ejpam-4549	166	14	)	)	PUNCT
ejpam-4549	166	15	)	)	PUNCT
ejpam-4549	166	16	(	(	PUNCT
ejpam-4549	166	17	37	37	NUM
ejpam-4549	166	18	)	)	PUNCT
ejpam-4549	166	19	by	by	ADP
ejpam-4549	166	20	applying	apply	VERB
ejpam-4549	166	21	the	the	DET
ejpam-4549	166	22	boundary	boundary	ADJ
ejpam-4549	166	23	conditions	condition	NOUN
ejpam-4549	166	24	(	(	PUNCT
ejpam-4549	166	25	30)-(32	30)-(32	NUM
ejpam-4549	166	26	)	)	PUNCT
ejpam-4549	166	27	,	,	PUNCT
ejpam-4549	166	28	we	we	PRON
ejpam-4549	166	29	get	get	VERB
ejpam-4549	166	30	the	the	DET
ejpam-4549	166	31	unknown	unknown	ADJ
ejpam-4549	166	32	constant	constant	NOUN
ejpam-4549	166	33	a	a	PRON
ejpam-4549	166	34	,	,	PUNCT
ejpam-4549	166	35	to	to	PART
ejpam-4549	166	36	obtain	obtain	VERB
ejpam-4549	166	37	the	the	DET
ejpam-4549	166	38	following	follow	VERB
ejpam-4549	166	39	system	system	NOUN
ejpam-4549	166	40	of	of	ADP
ejpam-4549	166	41	equations	equation	NOUN
ejpam-4549	166	42	:	:	PUNCT
ejpam-4549	166	43	aa	aa	PROPN
ejpam-4549	166	44	−3	−3	PROPN
ejpam-4549	166	45	2	2	NUM
ejpam-4549	167	1	+	+	NOUN
ejpam-4549	167	2	bk3	bk3	NOUN
ejpam-4549	167	3	2	2	NUM
ejpam-4549	167	4	(	(	PUNCT
ejpam-4549	167	5	α1a	α1a	PROPN
ejpam-4549	167	6	)	)	PUNCT
ejpam-4549	167	7	+	+	CCONJ
ejpam-4549	167	8	ck3	ck3	PROPN
ejpam-4549	167	9	2	2	NUM
ejpam-4549	167	10	(	(	PUNCT
ejpam-4549	167	11	α2a	α2a	NOUN
ejpam-4549	167	12	)	)	PUNCT
ejpam-4549	167	13	=	=	PUNCT
ejpam-4549	167	14	−ua	−ua	PROPN
ejpam-4549	167	15	3	3	NUM
ejpam-4549	167	16	2	2	NUM
ejpam-4549	167	17	,	,	PUNCT
ejpam-4549	167	18	(	(	PUNCT
ejpam-4549	167	19	38	38	NUM
ejpam-4549	167	20	)	)	PUNCT
ejpam-4549	168	1	a(1	a(1	NOUN
ejpam-4549	168	2	+	+	NUM
ejpam-4549	168	3	6β−1	6β−1	NUM
ejpam-4549	168	4	1	1	NUM
ejpam-4549	168	5	a−1	a−1	PROPN
ejpam-4549	168	6	)	)	PUNCT
ejpam-4549	169	1	+	+	NOUN
ejpam-4549	169	2	ba	ba	NOUN
ejpam-4549	169	3	3	3	NUM
ejpam-4549	169	4	2	2	NUM
ejpam-4549	169	5	[	[	X
ejpam-4549	169	6	(	(	PUNCT
ejpam-4549	169	7	1	1	NUM
ejpam-4549	169	8	+	+	CCONJ
ejpam-4549	169	9	β−1	β−1	SYM
ejpam-4549	169	10	1	1	NUM
ejpam-4549	169	11	a−1(α2	a−1(α2	PROPN
ejpam-4549	169	12	1a	1a	X
ejpam-4549	169	13	2	2	NUM
ejpam-4549	169	14	+	+	CCONJ
ejpam-4549	169	15	6−	6−	NUM
ejpam-4549	169	16	α4	α4	NOUN
ejpam-4549	169	17	1ζ	1ζ	NUM
ejpam-4549	169	18	−2a2	−2a2	NUM
ejpam-4549	169	19	)	)	PUNCT
ejpam-4549	169	20	)	)	PUNCT
ejpam-4549	170	1	k3	k3	VERB
ejpam-4549	170	2	2	2	NUM
ejpam-4549	170	3	(	(	PUNCT
ejpam-4549	170	4	α1a	α1a	PROPN
ejpam-4549	170	5	)	)	PUNCT
ejpam-4549	171	1	+	+	CCONJ
ejpam-4549	171	2	α1a	α1a	NUM
ejpam-4549	171	3	(	(	PUNCT
ejpam-4549	171	4	1	1	NUM
ejpam-4549	171	5	+	+	NUM
ejpam-4549	171	6	2β−1	2β−1	NUM
ejpam-4549	171	7	1	1	NUM
ejpam-4549	171	8	a−1	a−1	PROPN
ejpam-4549	171	9	)	)	PUNCT
ejpam-4549	171	10	k1	k1	NOUN
ejpam-4549	171	11	2	2	NUM
ejpam-4549	171	12	(	(	PUNCT
ejpam-4549	171	13	α1a	α1a	PROPN
ejpam-4549	171	14	)	)	PUNCT
ejpam-4549	171	15	]	]	PUNCT
ejpam-4549	172	1	+	+	ADP
ejpam-4549	172	2	ca	can	AUX
ejpam-4549	172	3	3	3	NUM
ejpam-4549	172	4	2	2	NUM
ejpam-4549	172	5	[	[	X
ejpam-4549	172	6	(	(	PUNCT
ejpam-4549	172	7	1	1	NUM
ejpam-4549	172	8	+	+	CCONJ
ejpam-4549	172	9	β−1	β−1	SYM
ejpam-4549	172	10	1	1	NUM
ejpam-4549	172	11	a−1(α2	a−1(α2	SYM
ejpam-4549	172	12	2a	2a	NUM
ejpam-4549	172	13	2	2	NUM
ejpam-4549	172	14	+	+	CCONJ
ejpam-4549	172	15	6−	6−	NUM
ejpam-4549	172	16	α4	α4	NOUN
ejpam-4549	172	17	2ζ	2ζ	NUM
ejpam-4549	172	18	−2a2	−2a2	NUM
ejpam-4549	172	19	)	)	PUNCT
ejpam-4549	172	20	)	)	PUNCT
ejpam-4549	173	1	k3	k3	VERB
ejpam-4549	173	2	2	2	NUM
ejpam-4549	173	3	(	(	PUNCT
ejpam-4549	173	4	α2a	α2a	NOUN
ejpam-4549	173	5	)	)	PUNCT
ejpam-4549	174	1	+	+	CCONJ
ejpam-4549	174	2	α2a	α2a	NOUN
ejpam-4549	174	3	(	(	PUNCT
ejpam-4549	174	4	1	1	NUM
ejpam-4549	174	5	+	+	NUM
ejpam-4549	174	6	2β−1	2β−1	NUM
ejpam-4549	174	7	1	1	NUM
ejpam-4549	174	8	a−1	a−1	PROPN
ejpam-4549	174	9	)	)	PUNCT
ejpam-4549	174	10	k1	k1	PROPN
ejpam-4549	174	11	2	2	NUM
ejpam-4549	174	12	(	(	PUNCT
ejpam-4549	174	13	α2a	α2a	NOUN
ejpam-4549	174	14	)	)	PUNCT
ejpam-4549	174	15	]	]	PUNCT
ejpam-4549	175	1	=	=	PUNCT
ejpam-4549	175	2	2ua3	2ua3	NUM
ejpam-4549	175	3	,	,	PUNCT
ejpam-4549	175	4	(	(	PUNCT
ejpam-4549	175	5	39	39	NUM
ejpam-4549	175	6	)	)	PUNCT
ejpam-4549	175	7	bα2	bα2	NOUN
ejpam-4549	175	8	1	1	NUM
ejpam-4549	175	9	[	[	X
ejpam-4549	175	10	(	(	PUNCT
ejpam-4549	175	11	1	1	NUM
ejpam-4549	175	12	+	+	NUM
ejpam-4549	175	13	4β−1	4β−1	NUM
ejpam-4549	175	14	2	2	NUM
ejpam-4549	175	15	a−1(2ζ−2	a−1(2ζ−2	NOUN
ejpam-4549	175	16	+	+	CCONJ
ejpam-4549	175	17	ζ	ζ	NOUN
ejpam-4549	175	18	′2	′2	NOUN
ejpam-4549	175	19	)	)	PUNCT
ejpam-4549	175	20	)	)	PUNCT
ejpam-4549	175	21	k3	k3	VERB
ejpam-4549	175	22	2	2	NUM
ejpam-4549	175	23	(	(	PUNCT
ejpam-4549	175	24	α1a	α1a	PROPN
ejpam-4549	175	25	)	)	PUNCT
ejpam-4549	176	1	+	+	CCONJ
ejpam-4549	176	2	α1ζ	α1ζ	NUM
ejpam-4549	176	3	−2β−1	−2β−1	NUM
ejpam-4549	176	4	2	2	NUM
ejpam-4549	176	5	k1	k1	NOUN
ejpam-4549	176	6	2	2	NUM
ejpam-4549	176	7	(	(	PUNCT
ejpam-4549	176	8	α1a	α1a	PROPN
ejpam-4549	176	9	)	)	PUNCT
ejpam-4549	176	10	]	]	PUNCT
ejpam-4549	177	1	+	+	PUNCT
ejpam-4549	177	2	cα2	cα2	NOUN
ejpam-4549	177	3	2	2	NUM
ejpam-4549	177	4	[	[	X
ejpam-4549	177	5	(	(	PUNCT
ejpam-4549	177	6	1	1	NUM
ejpam-4549	177	7	+	+	NUM
ejpam-4549	177	8	4β−1	4β−1	NUM
ejpam-4549	177	9	2	2	NUM
ejpam-4549	177	10	a−1(2ζ−2	a−1(2ζ−2	NOUN
ejpam-4549	177	11	+	+	CCONJ
ejpam-4549	177	12	ζ	ζ	NOUN
ejpam-4549	177	13	′2	′2	NOUN
ejpam-4549	177	14	)	)	PUNCT
ejpam-4549	177	15	)	)	PUNCT
ejpam-4549	177	16	k3	k3	VERB
ejpam-4549	177	17	2	2	NUM
ejpam-4549	177	18	(	(	PUNCT
ejpam-4549	177	19	α2a	α2a	NOUN
ejpam-4549	177	20	)	)	PUNCT
ejpam-4549	178	1	+	+	CCONJ
ejpam-4549	178	2	α2ζ	α2ζ	NOUN
ejpam-4549	178	3	−2β−1	−2β−1	SYM
ejpam-4549	178	4	2	2	NUM
ejpam-4549	178	5	k1	k1	NOUN
ejpam-4549	178	6	2	2	NUM
ejpam-4549	178	7	(	(	PUNCT
ejpam-4549	178	8	α2a	α2a	NOUN
ejpam-4549	178	9	)	)	PUNCT
ejpam-4549	178	10	]	]	PUNCT
ejpam-4549	179	1	=	=	PUNCT
ejpam-4549	179	2	0	0	NUM
ejpam-4549	179	3	,	,	PUNCT
ejpam-4549	179	4	(	(	PUNCT
ejpam-4549	179	5	40	40	NUM
ejpam-4549	179	6	)	)	PUNCT
ejpam-4549	179	7	where	where	SCONJ
ejpam-4549	179	8	,	,	PUNCT
ejpam-4549	179	9	a	a	DET
ejpam-4549	179	10	=	=	X
ejpam-4549	179	11	−ua3	−ua3	X
ejpam-4549	179	12	−ba	−ba	PROPN
ejpam-4549	179	13	3	3	NUM
ejpam-4549	179	14	2k3	2k3	NUM
ejpam-4549	179	15	2	2	NUM
ejpam-4549	179	16	(	(	PUNCT
ejpam-4549	179	17	α1a)−	α1a)−	NOUN
ejpam-4549	179	18	ca	can	AUX
ejpam-4549	179	19	3	3	NUM
ejpam-4549	179	20	2k3	2k3	NUM
ejpam-4549	179	21	2	2	NUM
ejpam-4549	179	22	(	(	PUNCT
ejpam-4549	179	23	α2a	α2a	NOUN
ejpam-4549	179	24	)	)	PUNCT
ejpam-4549	179	25	,	,	PUNCT
ejpam-4549	179	26	b	b	X
ejpam-4549	179	27	=	=	SYM
ejpam-4549	179	28	3ua3α2	3ua3α2	NUM
ejpam-4549	179	29	2∆	2∆	NUM
ejpam-4549	179	30	−1(1	−1(1	ADJ
ejpam-4549	179	31	+	+	NOUN
ejpam-4549	179	32	2β−1	2β−1	NUM
ejpam-4549	179	33	1	1	NUM
ejpam-4549	179	34	a−−1	a−−1	NOUN
ejpam-4549	179	35	)	)	PUNCT
ejpam-4549	180	1	[	[	X
ejpam-4549	180	2	(	(	PUNCT
ejpam-4549	180	3	1	1	NUM
ejpam-4549	180	4	+	+	NOUN
ejpam-4549	180	5	4β−1	4β−1	NUM
ejpam-4549	180	6	2	2	NUM
ejpam-4549	180	7	a−1(2ζ−2+ζ	a−1(2ζ−2+ζ	PROPN
ejpam-4549	180	8	′2	′2	NOUN
ejpam-4549	180	9	)	)	PUNCT
ejpam-4549	180	10	)	)	PUNCT
ejpam-4549	180	11	k3	k3	VERB
ejpam-4549	180	12	2	2	NUM
ejpam-4549	180	13	(	(	PUNCT
ejpam-4549	180	14	α2a)+α2ζ	α2a)+α2ζ	NOUN
ejpam-4549	180	15	−2β−1	−2β−1	SYM
ejpam-4549	180	16	2	2	NUM
ejpam-4549	180	17	k1	k1	NOUN
ejpam-4549	180	18	2	2	NUM
ejpam-4549	180	19	(	(	PUNCT
ejpam-4549	180	20	α2a	α2a	NOUN
ejpam-4549	180	21	)	)	PUNCT
ejpam-4549	180	22	]	]	PUNCT
ejpam-4549	180	23	,	,	PUNCT
ejpam-4549	180	24	shreen	shreen	PROPN
ejpam-4549	180	25	el	el	PROPN
ejpam-4549	180	26	-	-	PUNCT
ejpam-4549	180	27	sapa	sapa	PROPN
ejpam-4549	180	28	/	/	SYM
ejpam-4549	180	29	eur	eur	NOUN
ejpam-4549	180	30	.	.	PUNCT
ejpam-4549	181	1	j.	j.	PROPN
ejpam-4549	181	2	pure	pure	PROPN
ejpam-4549	181	3	appl	appl	PROPN
ejpam-4549	181	4	.	.	PROPN
ejpam-4549	181	5	math	math	PROPN
ejpam-4549	181	6	,	,	PUNCT
ejpam-4549	181	7	15	15	NUM
ejpam-4549	181	8	(	(	PUNCT
ejpam-4549	181	9	4	4	NUM
ejpam-4549	181	10	)	)	PUNCT
ejpam-4549	181	11	(	(	PUNCT
ejpam-4549	181	12	2022	2022	NUM
ejpam-4549	181	13	)	)	PUNCT
ejpam-4549	181	14	,	,	PUNCT
ejpam-4549	181	15	1566	1566	NUM
ejpam-4549	181	16	-	-	SYM
ejpam-4549	181	17	1592	1592	NUM
ejpam-4549	181	18	1575	1575	NUM
ejpam-4549	181	19	c	c	NOUN
ejpam-4549	181	20	=	=	SYM
ejpam-4549	181	21	−3ua3α2	−3ua3α2	PROPN
ejpam-4549	181	22	1∆	1∆	NUM
ejpam-4549	181	23	−1(1	−1(1	ADJ
ejpam-4549	181	24	+	+	NOUN
ejpam-4549	181	25	2β−1	2β−1	NUM
ejpam-4549	181	26	1	1	NUM
ejpam-4549	181	27	a−1	a−1	NOUN
ejpam-4549	181	28	)	)	PUNCT
ejpam-4549	181	29	[	[	PUNCT
ejpam-4549	181	30	(	(	PUNCT
ejpam-4549	181	31	1	1	NUM
ejpam-4549	181	32	+	+	NOUN
ejpam-4549	181	33	4β−1	4β−1	NUM
ejpam-4549	181	34	2	2	NUM
ejpam-4549	181	35	a−1(2ζ−2+ζ	a−1(2ζ−2+ζ	PROPN
ejpam-4549	181	36	′2	′2	NOUN
ejpam-4549	181	37	)	)	PUNCT
ejpam-4549	181	38	)	)	PUNCT
ejpam-4549	182	1	k3	k3	VERB
ejpam-4549	182	2	2	2	NUM
ejpam-4549	182	3	(	(	PUNCT
ejpam-4549	182	4	α1a)+α1ζ	α1a)+α1ζ	NOUN
ejpam-4549	182	5	−2β−1	−2β−1	SYM
ejpam-4549	182	6	2	2	NUM
ejpam-4549	182	7	k1	k1	NOUN
ejpam-4549	182	8	2	2	NUM
ejpam-4549	182	9	(	(	PUNCT
ejpam-4549	182	10	α1a	α1a	PROPN
ejpam-4549	182	11	)	)	PUNCT
ejpam-4549	182	12	]	]	PUNCT
ejpam-4549	182	13	,	,	PUNCT
ejpam-4549	182	14	∆	∆	PROPN
ejpam-4549	182	15	=	=	SYM
ejpam-4549	182	16	β−1	β−1	SYM
ejpam-4549	182	17	1	1	NUM
ejpam-4549	182	18	ζ−2a	ζ−2a	NOUN
ejpam-4549	182	19	1	1	NUM
ejpam-4549	182	20	2	2	NUM
ejpam-4549	182	21	(	(	PUNCT
ejpam-4549	182	22	α2	α2	ADJ
ejpam-4549	182	23	1α	1α	NUM
ejpam-4549	182	24	4	4	NUM
ejpam-4549	182	25	2	2	NUM
ejpam-4549	182	26	−	−	NOUN
ejpam-4549	182	27	α2	α2	ADJ
ejpam-4549	182	28	2α	2α	NOUN
ejpam-4549	182	29	4	4	NUM
ejpam-4549	182	30	1	1	NUM
ejpam-4549	182	31	)	)	PUNCT
ejpam-4549	182	32	(	(	PUNCT
ejpam-4549	182	33	1	1	NUM
ejpam-4549	182	34	+	+	NUM
ejpam-4549	182	35	4β−1	4β−1	NUM
ejpam-4549	182	36	2	2	NUM
ejpam-4549	182	37	a−1(2ζ−2	a−1(2ζ−2	NOUN
ejpam-4549	182	38	+	+	CCONJ
ejpam-4549	182	39	ζ	ζ	NOUN
ejpam-4549	182	40	′2	′2	NOUN
ejpam-4549	182	41	)	)	PUNCT
ejpam-4549	182	42	)	)	PUNCT
ejpam-4549	183	1	k3	k3	VERB
ejpam-4549	183	2	2	2	NUM
ejpam-4549	183	3	(	(	PUNCT
ejpam-4549	183	4	α1a)k3	α1a)k3	NOUN
ejpam-4549	183	5	2	2	NUM
ejpam-4549	183	6	(	(	PUNCT
ejpam-4549	183	7	α2a	α2a	NOUN
ejpam-4549	183	8	)	)	PUNCT
ejpam-4549	184	1	+	+	NOUN
ejpam-4549	184	2	a2(1	a2(1	NOUN
ejpam-4549	184	3	+	+	ADJ
ejpam-4549	184	4	2β−1	2β−1	NUM
ejpam-4549	184	5	1	1	NUM
ejpam-4549	184	6	a−1	a−1	PROPN
ejpam-4549	184	7	)	)	PUNCT
ejpam-4549	184	8	(	(	PUNCT
ejpam-4549	184	9	1	1	NUM
ejpam-4549	184	10	+	+	NOUN
ejpam-4549	184	11	4β−1	4β−1	NUM
ejpam-4549	184	12	2	2	NUM
ejpam-4549	184	13	a−1(2ζ−2+ζ	a−1(2ζ−2+ζ	PROPN
ejpam-4549	184	14	′2	′2	NOUN
ejpam-4549	184	15	)	)	PUNCT
ejpam-4549	184	16	)	)	PUNCT
ejpam-4549	185	1	(	(	PUNCT
ejpam-4549	185	2	α1α	α1α	NUM
ejpam-4549	185	3	2	2	NUM
ejpam-4549	185	4	2k3	2k3	NUM
ejpam-4549	185	5	2	2	NUM
ejpam-4549	185	6	(	(	PUNCT
ejpam-4549	185	7	α2a)k1	α2a)k1	NOUN
ejpam-4549	185	8	2	2	NUM
ejpam-4549	185	9	(	(	PUNCT
ejpam-4549	185	10	α1a)−α2α	α1a)−α2α	PROPN
ejpam-4549	185	11	2	2	NUM
ejpam-4549	185	12	1k3	1k3	NUM
ejpam-4549	185	13	2	2	NUM
ejpam-4549	185	14	(	(	PUNCT
ejpam-4549	185	15	α1a)k1	α1a)k1	PRON
ejpam-4549	185	16	2	2	NUM
ejpam-4549	185	17	(	(	PUNCT
ejpam-4549	185	18	α2a	α2a	NOUN
ejpam-4549	185	19	)	)	PUNCT
ejpam-4549	185	20	)	)	PUNCT
ejpam-4549	186	1	+	+	ADP
ejpam-4549	186	2	a	a	DET
ejpam-4549	186	3	1	1	NUM
ejpam-4549	186	4	2β−1	2β−1	NUM
ejpam-4549	186	5	1	1	NUM
ejpam-4549	186	6	ζ−2β−1	ζ−2β−1	ADP
ejpam-4549	186	7	2	2	NUM
ejpam-4549	186	8	(	(	PUNCT
ejpam-4549	186	9	α3	α3	NOUN
ejpam-4549	186	10	2(α	2(α	NUM
ejpam-4549	186	11	2	2	NUM
ejpam-4549	186	12	1a	1a	NUM
ejpam-4549	186	13	2−α4	2−α4	NUM
ejpam-4549	186	14	1ζ	1ζ	NUM
ejpam-4549	186	15	−2a2)k1	−2a2)k1	NOUN
ejpam-4549	186	16	2	2	NUM
ejpam-4549	186	17	(	(	PUNCT
ejpam-4549	186	18	α2a)k3	α2a)k3	NOUN
ejpam-4549	186	19	2	2	NUM
ejpam-4549	186	20	(	(	PUNCT
ejpam-4549	186	21	α1a)−α3	α1a)−α3	PROPN
ejpam-4549	186	22	1(α	1(α	NUM
ejpam-4549	186	23	2	2	NUM
ejpam-4549	186	24	2a	2a	NUM
ejpam-4549	186	25	2−α4	2−α4	NUM
ejpam-4549	187	1	2ζ	2ζ	NUM
ejpam-4549	187	2	−2a2)k1	−2a2)k1	NOUN
ejpam-4549	187	3	2	2	NUM
ejpam-4549	187	4	(	(	PUNCT
ejpam-4549	187	5	α1a)k3	α1a)k3	NOUN
ejpam-4549	187	6	2	2	NUM
ejpam-4549	187	7	(	(	PUNCT
ejpam-4549	187	8	α2a	α2a	NOUN
ejpam-4549	187	9	)	)	PUNCT
ejpam-4549	187	10	)	)	PUNCT
ejpam-4549	187	11	a2ζ−2β−1	a2ζ−2β−1	PROPN
ejpam-4549	187	12	2	2	NUM
ejpam-4549	187	13	(	(	PUNCT
ejpam-4549	187	14	α1α	α1α	SYM
ejpam-4549	187	15	3	3	NUM
ejpam-4549	187	16	2	2	NUM
ejpam-4549	187	17	−	−	NOUN
ejpam-4549	187	18	α3	α3	NOUN
ejpam-4549	187	19	1α2)(1	1α2)(1	NUM
ejpam-4549	187	20	+	+	CCONJ
ejpam-4549	187	21	2β−1	2β−1	NUM
ejpam-4549	187	22	1	1	NUM
ejpam-4549	187	23	a−1)k1	a−1)k1	DET
ejpam-4549	187	24	2	2	NUM
ejpam-4549	187	25	(	(	PUNCT
ejpam-4549	187	26	α1a)k1	α1a)k1	PRON
ejpam-4549	187	27	2	2	NUM
ejpam-4549	187	28	(	(	PUNCT
ejpam-4549	187	29	α2a	α2a	NOUN
ejpam-4549	187	30	)	)	PUNCT
ejpam-4549	187	31	.	.	PUNCT
ejpam-4549	188	1	solving	solve	VERB
ejpam-4549	188	2	the	the	DET
ejpam-4549	188	3	system	system	NOUN
ejpam-4549	188	4	in	in	ADP
ejpam-4549	188	5	the	the	DET
ejpam-4549	188	6	equations	equation	NOUN
ejpam-4549	188	7	(	(	PUNCT
ejpam-4549	188	8	38)-(40	38)-(40	NOUN
ejpam-4549	188	9	)	)	PUNCT
ejpam-4549	188	10	algebraically	algebraically	ADV
ejpam-4549	188	11	,	,	PUNCT
ejpam-4549	188	12	we	we	PRON
ejpam-4549	188	13	get	get	VERB
ejpam-4549	188	14	the	the	DET
ejpam-4549	188	15	value	value	NOUN
ejpam-4549	188	16	of	of	ADP
ejpam-4549	188	17	the	the	DET
ejpam-4549	188	18	desired	desire	VERB
ejpam-4549	188	19	coefficient	coefficient	NOUN
ejpam-4549	188	20	a	a	DET
ejpam-4549	188	21	needed	need	VERB
ejpam-4549	188	22	in	in	ADP
ejpam-4549	188	23	the	the	DET
ejpam-4549	188	24	drag	drag	NOUN
ejpam-4549	188	25	expression	expression	NOUN
ejpam-4549	188	26	(	(	PUNCT
ejpam-4549	188	27	37	37	NUM
ejpam-4549	188	28	)	)	PUNCT
ejpam-4549	188	29	.	.	PUNCT
ejpam-4549	189	1	fz	fz	VERB
ejpam-4549	189	2	2	2	NUM
ejpam-4549	189	3	3πa	3πa	ADJ
ejpam-4549	189	4	2	2	NUM
ejpam-4549	189	5	=	=	SYM
ejpam-4549	189	6	−	−	X
ejpam-4549	189	7	κ2ua+	κ2ua+	NOUN
ejpam-4549	189	8	3uα2	3uα2	NUM
ejpam-4549	189	9	2∆	2∆	NUM
ejpam-4549	189	10	−1a	−1a	NUM
ejpam-4549	189	11	3	3	NUM
ejpam-4549	189	12	2	2	NUM
ejpam-4549	189	13	(	(	PUNCT
ejpam-4549	189	14	1	1	NUM
ejpam-4549	189	15	+	+	NUM
ejpam-4549	189	16	2β−1	2β−1	NUM
ejpam-4549	189	17	1	1	NUM
ejpam-4549	189	18	a−1)(2α2	a−1)(2α2	PROPN
ejpam-4549	189	19	1(α	1(α	NUM
ejpam-4549	189	20	2	2	NUM
ejpam-4549	189	21	1ζ	1ζ	NUM
ejpam-4549	189	22	−2	−2	NOUN
ejpam-4549	189	23	−	−	PROPN
ejpam-4549	189	24	1)−	1)−	PROPN
ejpam-4549	189	25	κ2	κ2	PROPN
ejpam-4549	189	26	)	)	PUNCT
ejpam-4549	189	27	×	×	NOUN
ejpam-4549	189	28	(	(	PUNCT
ejpam-4549	189	29	(	(	PUNCT
ejpam-4549	189	30	1	1	NUM
ejpam-4549	189	31	+	+	NUM
ejpam-4549	189	32	4β−1	4β−1	NUM
ejpam-4549	189	33	2	2	NUM
ejpam-4549	189	34	a−1(2ζ−2	a−1(2ζ−2	NOUN
ejpam-4549	189	35	+	+	CCONJ
ejpam-4549	189	36	ζ	ζ	NOUN
ejpam-4549	189	37	′2	′2	NOUN
ejpam-4549	189	38	)	)	PUNCT
ejpam-4549	189	39	)	)	PUNCT
ejpam-4549	190	1	k3	k3	VERB
ejpam-4549	190	2	2	2	NUM
ejpam-4549	190	3	(	(	PUNCT
ejpam-4549	190	4	α1a)k3	α1a)k3	NOUN
ejpam-4549	190	5	2	2	NUM
ejpam-4549	190	6	(	(	PUNCT
ejpam-4549	190	7	α2a	α2a	NOUN
ejpam-4549	190	8	)	)	PUNCT
ejpam-4549	191	1	+	+	CCONJ
ejpam-4549	191	2	α2ζ	α2ζ	NOUN
ejpam-4549	191	3	−2β−1	−2β−1	SYM
ejpam-4549	191	4	2	2	NUM
ejpam-4549	191	5	k3	k3	ADJ
ejpam-4549	191	6	2	2	NUM
ejpam-4549	191	7	(	(	PUNCT
ejpam-4549	191	8	α1a)k1	α1a)k1	PRON
ejpam-4549	191	9	2	2	NUM
ejpam-4549	191	10	(	(	PUNCT
ejpam-4549	191	11	α2a	α2a	NOUN
ejpam-4549	191	12	)	)	PUNCT
ejpam-4549	191	13	)	)	PUNCT
ejpam-4549	192	1	−3uα2	−3uα2	VERB
ejpam-4549	192	2	1∆	1∆	NUM
ejpam-4549	192	3	−1a	−1a	NUM
ejpam-4549	192	4	3	3	NUM
ejpam-4549	192	5	2	2	NUM
ejpam-4549	192	6	(	(	PUNCT
ejpam-4549	192	7	1	1	NUM
ejpam-4549	192	8	+	+	NUM
ejpam-4549	192	9	2β−1	2β−1	NUM
ejpam-4549	192	10	1	1	NUM
ejpam-4549	192	11	a−1)(2α2	a−1)(2α2	PROPN
ejpam-4549	192	12	2(α	2(α	NUM
ejpam-4549	192	13	2	2	NUM
ejpam-4549	192	14	2ζ	2ζ	NUM
ejpam-4549	192	15	−2	−2	NOUN
ejpam-4549	192	16	−	−	PROPN
ejpam-4549	192	17	1)−	1)−	PROPN
ejpam-4549	192	18	κ2	κ2	PROPN
ejpam-4549	192	19	)	)	PUNCT
ejpam-4549	192	20	×	×	NOUN
ejpam-4549	192	21	(	(	PUNCT
ejpam-4549	192	22	(	(	PUNCT
ejpam-4549	192	23	1	1	NUM
ejpam-4549	192	24	+	+	NUM
ejpam-4549	192	25	4β−1	4β−1	NUM
ejpam-4549	192	26	2	2	NUM
ejpam-4549	192	27	a−1(2ζ−2	a−1(2ζ−2	NOUN
ejpam-4549	192	28	+	+	CCONJ
ejpam-4549	192	29	ζ	ζ	NOUN
ejpam-4549	192	30	′2	′2	NOUN
ejpam-4549	192	31	)	)	PUNCT
ejpam-4549	192	32	)	)	PUNCT
ejpam-4549	193	1	k3	k3	VERB
ejpam-4549	193	2	2	2	NUM
ejpam-4549	193	3	(	(	PUNCT
ejpam-4549	193	4	α1a)k3	α1a)k3	NOUN
ejpam-4549	193	5	2	2	NUM
ejpam-4549	193	6	(	(	PUNCT
ejpam-4549	193	7	α2a	α2a	NOUN
ejpam-4549	193	8	)	)	PUNCT
ejpam-4549	194	1	+	+	CCONJ
ejpam-4549	194	2	α1ζ	α1ζ	NUM
ejpam-4549	194	3	−2β−1	−2β−1	NUM
ejpam-4549	194	4	2	2	NUM
ejpam-4549	194	5	k3	k3	ADJ
ejpam-4549	194	6	2	2	NUM
ejpam-4549	194	7	(	(	PUNCT
ejpam-4549	194	8	α2a)k1	α2a)k1	NOUN
ejpam-4549	194	9	2	2	NUM
ejpam-4549	194	10	(	(	PUNCT
ejpam-4549	194	11	α1a	α1a	NOUN
ejpam-4549	194	12	)	)	PUNCT
ejpam-4549	194	13	)	)	PUNCT
ejpam-4549	195	1	(	(	PUNCT
ejpam-4549	195	2	41	41	NUM
ejpam-4549	195	3	)	)	PUNCT
ejpam-4549	195	4	the	the	DET
ejpam-4549	195	5	non	non	ADJ
ejpam-4549	195	6	-	-	ADJ
ejpam-4549	195	7	dimensional	dimensional	ADJ
ejpam-4549	195	8	drag	drag	NOUN
ejpam-4549	195	9	force	force	NOUN
ejpam-4549	195	10	of	of	ADP
ejpam-4549	195	11	a	a	DET
ejpam-4549	195	12	rigid	rigid	ADJ
ejpam-4549	195	13	sphere	sphere	NOUN
ejpam-4549	195	14	is	be	AUX
ejpam-4549	195	15	taken	take	VERB
ejpam-4549	195	16	with	with	ADP
ejpam-4549	195	17	respect	respect	NOUN
ejpam-4549	195	18	to	to	ADP
ejpam-4549	195	19	the	the	DET
ejpam-4549	195	20	drag	drag	NOUN
ejpam-4549	195	21	force	force	NOUN
ejpam-4549	195	22	of	of	ADP
ejpam-4549	195	23	a	a	DET
ejpam-4549	195	24	sphere	sphere	NOUN
ejpam-4549	195	25	translates	translate	VERB
ejpam-4549	195	26	through	through	ADP
ejpam-4549	195	27	unbounded	unbounded	ADJ
ejpam-4549	195	28	clear	clear	ADJ
ejpam-4549	195	29	fluid	fluid	NOUN
ejpam-4549	195	30	which	which	PRON
ejpam-4549	195	31	is	be	AUX
ejpam-4549	195	32	given	give	VERB
ejpam-4549	195	33	by	by	ADP
ejpam-4549	195	34	f0	f0	PROPN
ejpam-4549	195	35	=	=	SYM
ejpam-4549	195	36	−µπua	−µπua	NOUN
ejpam-4549	195	37	.	.	PUNCT
ejpam-4549	196	1	8	8	X
ejpam-4549	196	2	.	.	X
ejpam-4549	196	3	hpecial	hpecial	ADJ
ejpam-4549	196	4	cases	case	NOUN
ejpam-4549	196	5	8.1	8.1	NUM
ejpam-4549	196	6	.	.	PUNCT
ejpam-4549	197	1	no	no	DET
ejpam-4549	197	2	-	-	PUNCT
ejpam-4549	197	3	slip	slip	NOUN
ejpam-4549	197	4	and	and	CCONJ
ejpam-4549	197	5	no	no	DET
ejpam-4549	197	6	-	-	PUNCT
ejpam-4549	197	7	spin	spin	NOUN
ejpam-4549	197	8	,	,	PUNCT
ejpam-4549	197	9	β1	β1	PROPN
ejpam-4549	197	10	=	=	SYM
ejpam-4549	197	11	β2	β2	PROPN
ejpam-4549	197	12	→	→	SYM
ejpam-4549	197	13	∞	∞	PROPN
ejpam-4549	197	14	the	the	DET
ejpam-4549	197	15	drag	drag	NOUN
ejpam-4549	197	16	force	force	NOUN
ejpam-4549	197	17	acting	act	VERB
ejpam-4549	197	18	on	on	ADP
ejpam-4549	197	19	the	the	DET
ejpam-4549	197	20	rigid	rigid	ADJ
ejpam-4549	197	21	sphere	sphere	NOUN
ejpam-4549	197	22	moves	move	NOUN
ejpam-4549	197	23	through	through	ADP
ejpam-4549	197	24	unbounded	unbounded	ADJ
ejpam-4549	197	25	porous	porous	ADJ
ejpam-4549	197	26	medium	medium	NOUN
ejpam-4549	197	27	under	under	ADP
ejpam-4549	197	28	the	the	DET
ejpam-4549	197	29	conditions	condition	NOUN
ejpam-4549	197	30	,	,	PUNCT
ejpam-4549	197	31	qr	qr	NOUN
ejpam-4549	197	32	=	=	SYM
ejpam-4549	197	33	u	u	PROPN
ejpam-4549	197	34	cos	cos	PROPN
ejpam-4549	197	35	θ	θ	PROPN
ejpam-4549	197	36	,	,	PUNCT
ejpam-4549	197	37	qθ	qθ	NOUN
ejpam-4549	197	38	=	=	SYM
ejpam-4549	197	39	−u	−u	PROPN
ejpam-4549	197	40	sin	sin	PROPN
ejpam-4549	197	41	θ	θ	NOUN
ejpam-4549	197	42	,	,	PUNCT
ejpam-4549	197	43	ωϕ	ωϕ	ADP
ejpam-4549	197	44	=	=	SYM
ejpam-4549	197	45	0	0	NUM
ejpam-4549	197	46	,	,	PUNCT
ejpam-4549	197	47	we	we	PRON
ejpam-4549	197	48	obtained	obtain	VERB
ejpam-4549	197	49	the	the	DET
ejpam-4549	197	50	following	following	NOUN
ejpam-4549	197	51	:	:	PUNCT
ejpam-4549	197	52	aa−3	aa−3	PROPN
ejpam-4549	197	53	+	+	PROPN
ejpam-4549	197	54	ba	ba	PROPN
ejpam-4549	197	55	−3	−3	PROPN
ejpam-4549	197	56	2	2	NUM
ejpam-4549	197	57	k3	k3	VERB
ejpam-4549	197	58	2	2	NUM
ejpam-4549	197	59	(	(	PUNCT
ejpam-4549	197	60	α1a	α1a	PROPN
ejpam-4549	197	61	)	)	PUNCT
ejpam-4549	198	1	+	+	CCONJ
ejpam-4549	198	2	ca	can	AUX
ejpam-4549	198	3	−3	−3	ADV
ejpam-4549	198	4	2	2	NUM
ejpam-4549	198	5	k3	k3	ADJ
ejpam-4549	198	6	2	2	NUM
ejpam-4549	198	7	(	(	PUNCT
ejpam-4549	198	8	α2a	α2a	NOUN
ejpam-4549	198	9	)	)	PUNCT
ejpam-4549	198	10	=	=	SYM
ejpam-4549	199	1	−u	−u	PROPN
ejpam-4549	199	2	,	,	PUNCT
ejpam-4549	199	3	(	(	PUNCT
ejpam-4549	199	4	42	42	X
ejpam-4549	199	5	)	)	PUNCT
ejpam-4549	199	6	aa−3	aa−3	NOUN
ejpam-4549	200	1	+	+	PROPN
ejpam-4549	200	2	ba	ba	PROPN
ejpam-4549	200	3	−3	−3	PROPN
ejpam-4549	200	4	2	2	NUM
ejpam-4549	200	5	[	[	PUNCT
ejpam-4549	200	6	k3	k3	VERB
ejpam-4549	200	7	2	2	NUM
ejpam-4549	200	8	(	(	PUNCT
ejpam-4549	200	9	α1a	α1a	PROPN
ejpam-4549	200	10	)	)	PUNCT
ejpam-4549	201	1	+	+	NUM
ejpam-4549	201	2	α1ak1	α1ak1	NOUN
ejpam-4549	201	3	2	2	NUM
ejpam-4549	201	4	(	(	PUNCT
ejpam-4549	201	5	α1a	α1a	PROPN
ejpam-4549	201	6	)	)	PUNCT
ejpam-4549	201	7	]	]	PUNCT
ejpam-4549	202	1	+	+	CCONJ
ejpam-4549	202	2	ca	can	AUX
ejpam-4549	202	3	−3	−3	ADV
ejpam-4549	202	4	2	2	NUM
ejpam-4549	202	5	[	[	PUNCT
ejpam-4549	202	6	k3	k3	VERB
ejpam-4549	202	7	2	2	NUM
ejpam-4549	202	8	(	(	PUNCT
ejpam-4549	202	9	α2a	α2a	NOUN
ejpam-4549	202	10	)	)	PUNCT
ejpam-4549	202	11	+	+	NUM
ejpam-4549	202	12	α2ak1	α2ak1	NOUN
ejpam-4549	202	13	2	2	NUM
ejpam-4549	202	14	(	(	PUNCT
ejpam-4549	202	15	α2a	α2a	NOUN
ejpam-4549	202	16	)	)	PUNCT
ejpam-4549	202	17	]	]	PUNCT
ejpam-4549	203	1	=	=	PUNCT
ejpam-4549	203	2	2u	2u	NOUN
ejpam-4549	203	3	,	,	PUNCT
ejpam-4549	203	4	(	(	PUNCT
ejpam-4549	203	5	43	43	NUM
ejpam-4549	203	6	)	)	PUNCT
ejpam-4549	203	7	bα2	bα2	NOUN
ejpam-4549	203	8	1a	1a	X
ejpam-4549	203	9	−3	−3	PROPN
ejpam-4549	203	10	2	2	NUM
ejpam-4549	203	11	k3	k3	VERB
ejpam-4549	203	12	2	2	NUM
ejpam-4549	203	13	(	(	PUNCT
ejpam-4549	203	14	α1a	α1a	PROPN
ejpam-4549	203	15	)	)	PUNCT
ejpam-4549	204	1	+	+	NUM
ejpam-4549	204	2	cα2	cα2	PROPN
ejpam-4549	204	3	2a	2a	NUM
ejpam-4549	204	4	−3	−3	PROPN
ejpam-4549	204	5	2	2	NUM
ejpam-4549	204	6	k3	k3	VERB
ejpam-4549	204	7	2	2	NUM
ejpam-4549	204	8	(	(	PUNCT
ejpam-4549	204	9	α2a	α2a	NOUN
ejpam-4549	204	10	)	)	PUNCT
ejpam-4549	204	11	=	=	SYM
ejpam-4549	205	1	0	0	X
ejpam-4549	205	2	.	.	PUNCT
ejpam-4549	206	1	(	(	PUNCT
ejpam-4549	206	2	44	44	NUM
ejpam-4549	206	3	)	)	PUNCT
ejpam-4549	206	4	the	the	DET
ejpam-4549	206	5	values	value	NOUN
ejpam-4549	206	6	of	of	ADP
ejpam-4549	206	7	the	the	DET
ejpam-4549	206	8	constants	constant	NOUN
ejpam-4549	206	9	a	a	DET
ejpam-4549	206	10	,	,	PUNCT
ejpam-4549	206	11	b	b	NOUN
ejpam-4549	206	12	,	,	PUNCT
ejpam-4549	206	13	c	c	PROPN
ejpam-4549	206	14	are	be	AUX
ejpam-4549	206	15	given	give	VERB
ejpam-4549	206	16	by	by	ADP
ejpam-4549	206	17	:	:	PUNCT
ejpam-4549	206	18	a	a	DET
ejpam-4549	206	19	=	=	X
ejpam-4549	206	20	−	−	PROPN
ejpam-4549	206	21	(	(	PUNCT
ejpam-4549	206	22	a3	a3	NOUN
ejpam-4549	206	23	+	+	CCONJ
ejpam-4549	206	24	3aα−1	3aα−1	NUM
ejpam-4549	206	25	1	1	NUM
ejpam-4549	206	26	α−1	α−1	PROPN
ejpam-4549	206	27	2	2	NUM
ejpam-4549	206	28	(	(	PUNCT
ejpam-4549	206	29	α1a+	α1a+	NOUN
ejpam-4549	206	30	α2a+	α2a+	NOUN
ejpam-4549	206	31	2	2	NUM
ejpam-4549	206	32	)	)	PUNCT
ejpam-4549	206	33	+	+	CCONJ
ejpam-4549	206	34	3aκ−2	3aκ−2	NUM
ejpam-4549	206	35	+	+	CCONJ
ejpam-4549	206	36	3ζ−2κ−2(α1	3ζ−2κ−2(α1	NUM
ejpam-4549	206	37	+	+	CCONJ
ejpam-4549	206	38	α2	α2	ADJ
ejpam-4549	206	39	)	)	PUNCT
ejpam-4549	206	40	)	)	PUNCT
ejpam-4549	206	41	,	,	PUNCT
ejpam-4549	207	1	b	b	X
ejpam-4549	207	2	=	=	X
ejpam-4549	207	3	−3	−3	PROPN
ejpam-4549	207	4	expα1au	expα1au	PROPN
ejpam-4549	207	5	√	√	VERB
ejpam-4549	207	6	2	2	NUM
ejpam-4549	207	7	πα1	πα1	ADP
ejpam-4549	207	8	(	(	PUNCT
ejpam-4549	207	9	1+α2a	1+α2a	NUM
ejpam-4549	207	10	)	)	PUNCT
ejpam-4549	207	11	(	(	PUNCT
ejpam-4549	207	12	α1−α2	α1−α2	NUM
ejpam-4549	207	13	)	)	PUNCT
ejpam-4549	207	14	,	,	PUNCT
ejpam-4549	207	15	c	c	X
ejpam-4549	207	16	=	=	SYM
ejpam-4549	207	17	−3	−3	PROPN
ejpam-4549	208	1	expα2au	expα2au	PROPN
ejpam-4549	208	2	√	√	ADV
ejpam-4549	208	3	2	2	NUM
ejpam-4549	208	4	πα2	πα2	NOUN
ejpam-4549	208	5	(	(	PUNCT
ejpam-4549	208	6	1+α1a	1+α1a	NUM
ejpam-4549	208	7	)	)	PUNCT
ejpam-4549	208	8	(	(	PUNCT
ejpam-4549	208	9	α1−α2	α1−α2	NUM
ejpam-4549	208	10	)	)	PUNCT
ejpam-4549	208	11	.	.	PUNCT
ejpam-4549	209	1	shreen	shreen	PROPN
ejpam-4549	209	2	el	el	PROPN
ejpam-4549	209	3	-	-	PUNCT
ejpam-4549	209	4	sapa	sapa	PROPN
ejpam-4549	209	5	/	/	SYM
ejpam-4549	209	6	eur	eur	NOUN
ejpam-4549	209	7	.	.	PUNCT
ejpam-4549	210	1	j.	j.	PROPN
ejpam-4549	210	2	pure	pure	PROPN
ejpam-4549	210	3	appl	appl	PROPN
ejpam-4549	210	4	.	.	PROPN
ejpam-4549	210	5	math	math	PROPN
ejpam-4549	210	6	,	,	PUNCT
ejpam-4549	210	7	15	15	NUM
ejpam-4549	210	8	(	(	PUNCT
ejpam-4549	210	9	4	4	NUM
ejpam-4549	210	10	)	)	PUNCT
ejpam-4549	210	11	(	(	PUNCT
ejpam-4549	210	12	2022	2022	NUM
ejpam-4549	210	13	)	)	PUNCT
ejpam-4549	210	14	,	,	PUNCT
ejpam-4549	210	15	1566	1566	NUM
ejpam-4549	210	16	-	-	SYM
ejpam-4549	210	17	1592	1592	NUM
ejpam-4549	210	18	1576	1576	NUM
ejpam-4549	210	19	the	the	DET
ejpam-4549	210	20	drag	drag	NOUN
ejpam-4549	210	21	force	force	NOUN
ejpam-4549	210	22	in	in	ADP
ejpam-4549	210	23	this	this	DET
ejpam-4549	210	24	case	case	NOUN
ejpam-4549	210	25	is	be	AUX
ejpam-4549	210	26	obtained	obtain	VERB
ejpam-4549	210	27	as	as	ADP
ejpam-4549	210	28	:	:	PUNCT
ejpam-4549	210	29	fz	fz	VERB
ejpam-4549	210	30	f0	f0	PROPN
ejpam-4549	211	1	=	=	PROPN
ejpam-4549	211	2	−	−	PROPN
ejpam-4549	211	3	2	2	NUM
ejpam-4549	211	4	3ζ	3ζ	NOUN
ejpam-4549	211	5	−′2(α1	−′2(α1	NOUN
ejpam-4549	211	6	+	+	CCONJ
ejpam-4549	211	7	α2)(1	α2)(1	NOUN
ejpam-4549	211	8	+	+	CCONJ
ejpam-4549	211	9	α1a)(1	α1a)(1	NOUN
ejpam-4549	211	10	+	+	ADJ
ejpam-4549	211	11	α2a	α2a	NOUN
ejpam-4549	211	12	)	)	PUNCT
ejpam-4549	211	13	−1	−1	NOUN
ejpam-4549	211	14	9ζ	9ζ	NOUN
ejpam-4549	211	15	−2	−2	NOUN
ejpam-4549	211	16	(	(	PUNCT
ejpam-4549	211	17	α2	α2	ADJ
ejpam-4549	211	18	1α	1α	NUM
ejpam-4549	211	19	2	2	NUM
ejpam-4549	211	20	2a	2a	NUM
ejpam-4549	211	21	3	3	NUM
ejpam-4549	212	1	+	+	SYM
ejpam-4549	212	2	3aα1α2(α1a+	3aα1α2(α1a+	NUM
ejpam-4549	212	3	α2a+	α2a+	NOUN
ejpam-4549	212	4	2	2	NUM
ejpam-4549	212	5	)	)	PUNCT
ejpam-4549	212	6	+	+	CCONJ
ejpam-4549	212	7	3aζ2	3aζ2	NUM
ejpam-4549	213	1	+	+	CCONJ
ejpam-4549	213	2	3α1	3α1	NUM
ejpam-4549	213	3	+	+	CCONJ
ejpam-4549	213	4	3α2	3α2	NUM
ejpam-4549	213	5	)	)	PUNCT
ejpam-4549	213	6	(	(	PUNCT
ejpam-4549	213	7	45	45	NUM
ejpam-4549	213	8	)	)	PUNCT
ejpam-4549	213	9	8.2	8.2	NUM
ejpam-4549	213	10	.	.	PUNCT
ejpam-4549	213	11	perfect	perfect	ADJ
ejpam-4549	213	12	slip	slip	NOUN
ejpam-4549	213	13	and	and	CCONJ
ejpam-4549	213	14	perfect	perfect	ADJ
ejpam-4549	213	15	spin	spin	NOUN
ejpam-4549	213	16	,	,	PUNCT
ejpam-4549	213	17	β1	β1	PROPN
ejpam-4549	213	18	=	=	SYM
ejpam-4549	213	19	β2	β2	NOUN
ejpam-4549	213	20	=	=	NOUN
ejpam-4549	213	21	0	0	PROPN
ejpam-4549	214	1	the	the	DET
ejpam-4549	214	2	drag	drag	NOUN
ejpam-4549	214	3	force	force	NOUN
ejpam-4549	214	4	acting	act	VERB
ejpam-4549	214	5	on	on	ADP
ejpam-4549	214	6	the	the	DET
ejpam-4549	214	7	rigid	rigid	ADJ
ejpam-4549	214	8	sphere	sphere	NOUN
ejpam-4549	214	9	moves	move	NOUN
ejpam-4549	214	10	through	through	ADP
ejpam-4549	214	11	unbounded	unbounded	ADJ
ejpam-4549	214	12	porous	porous	ADJ
ejpam-4549	214	13	medium	medium	NOUN
ejpam-4549	214	14	under	under	ADP
ejpam-4549	214	15	the	the	DET
ejpam-4549	214	16	conditions	condition	NOUN
ejpam-4549	214	17	,	,	PUNCT
ejpam-4549	214	18	qr	qr	NOUN
ejpam-4549	214	19	=	=	SYM
ejpam-4549	214	20	u	u	PROPN
ejpam-4549	214	21	cos	cos	PROPN
ejpam-4549	214	22	θ	θ	PROPN
ejpam-4549	214	23	,	,	PUNCT
ejpam-4549	214	24	trθ	trθ	X
ejpam-4549	214	25	=	=	SYM
ejpam-4549	214	26	0	0	NUM
ejpam-4549	214	27	,	,	PUNCT
ejpam-4549	214	28	mrϕ	mrϕ	NOUN
ejpam-4549	214	29	=	=	SYM
ejpam-4549	214	30	0	0	NUM
ejpam-4549	214	31	,	,	PUNCT
ejpam-4549	214	32	we	we	PRON
ejpam-4549	214	33	obtained	obtain	VERB
ejpam-4549	214	34	the	the	DET
ejpam-4549	214	35	following	following	NOUN
ejpam-4549	214	36	:	:	PUNCT
ejpam-4549	214	37	aa−3	aa−3	PROPN
ejpam-4549	214	38	+	+	PROPN
ejpam-4549	214	39	ba	ba	PROPN
ejpam-4549	214	40	−3	−3	PROPN
ejpam-4549	214	41	2	2	NUM
ejpam-4549	214	42	k3	k3	VERB
ejpam-4549	214	43	2	2	NUM
ejpam-4549	214	44	(	(	PUNCT
ejpam-4549	214	45	α1a	α1a	PROPN
ejpam-4549	214	46	)	)	PUNCT
ejpam-4549	215	1	+	+	CCONJ
ejpam-4549	215	2	ca	can	AUX
ejpam-4549	215	3	−3	−3	ADV
ejpam-4549	215	4	2	2	NUM
ejpam-4549	215	5	k3	k3	ADJ
ejpam-4549	215	6	2	2	NUM
ejpam-4549	215	7	(	(	PUNCT
ejpam-4549	215	8	α2a	α2a	NOUN
ejpam-4549	215	9	)	)	PUNCT
ejpam-4549	215	10	=	=	SYM
ejpam-4549	216	1	−u	−u	PROPN
ejpam-4549	216	2	,	,	PUNCT
ejpam-4549	216	3	(	(	PUNCT
ejpam-4549	216	4	46	46	NUM
ejpam-4549	216	5	)	)	PUNCT
ejpam-4549	216	6	3aa−3	3aa−3	NOUN
ejpam-4549	217	1	+	+	PROPN
ejpam-4549	217	2	1	1	NUM
ejpam-4549	217	3	2ba	2ba	ADJ
ejpam-4549	217	4	−3	−3	NOUN
ejpam-4549	217	5	2	2	NUM
ejpam-4549	217	6	[	[	PUNCT
ejpam-4549	217	7	(	(	PUNCT
ejpam-4549	217	8	α2	α2	PROPN
ejpam-4549	217	9	1a	1a	X
ejpam-4549	217	10	2	2	NUM
ejpam-4549	217	11	+	+	CCONJ
ejpam-4549	217	12	6−	6−	NUM
ejpam-4549	217	13	α4	α4	NOUN
ejpam-4549	217	14	1ζ	1ζ	NUM
ejpam-4549	217	15	−2a2)k3	−2a2)k3	NOUN
ejpam-4549	217	16	2	2	NUM
ejpam-4549	217	17	(	(	PUNCT
ejpam-4549	217	18	α1a	α1a	PROPN
ejpam-4549	217	19	)	)	PUNCT
ejpam-4549	217	20	+	+	CCONJ
ejpam-4549	217	21	2α1ak1	2α1ak1	NUM
ejpam-4549	217	22	2	2	NUM
ejpam-4549	217	23	(	(	PUNCT
ejpam-4549	217	24	α1a	α1a	PROPN
ejpam-4549	217	25	)	)	PUNCT
ejpam-4549	217	26	]	]	PUNCT
ejpam-4549	218	1	+1	+1	PROPN
ejpam-4549	218	2	2ca	2ca	NOUN
ejpam-4549	218	3	−3	−3	PROPN
ejpam-4549	218	4	2	2	NUM
ejpam-4549	218	5	[	[	PUNCT
ejpam-4549	218	6	(	(	PUNCT
ejpam-4549	218	7	α2	α2	ADJ
ejpam-4549	218	8	2a	2a	NUM
ejpam-4549	218	9	2	2	NUM
ejpam-4549	218	10	+	+	CCONJ
ejpam-4549	218	11	6−	6−	NUM
ejpam-4549	218	12	α4	α4	NOUN
ejpam-4549	218	13	2ζ	2ζ	NUM
ejpam-4549	218	14	−2a2)k3	−2a2)k3	NOUN
ejpam-4549	218	15	2	2	NUM
ejpam-4549	218	16	(	(	PUNCT
ejpam-4549	218	17	α2a	α2a	NOUN
ejpam-4549	218	18	)	)	PUNCT
ejpam-4549	218	19	+	+	NUM
ejpam-4549	218	20	α2ak1	α2ak1	NOUN
ejpam-4549	218	21	2	2	NUM
ejpam-4549	218	22	(	(	PUNCT
ejpam-4549	218	23	α2a	α2a	NOUN
ejpam-4549	218	24	)	)	PUNCT
ejpam-4549	218	25	]	]	PUNCT
ejpam-4549	219	1	=	=	PUNCT
ejpam-4549	219	2	0	0	NUM
ejpam-4549	219	3	,	,	PUNCT
ejpam-4549	219	4	(	(	PUNCT
ejpam-4549	219	5	47	47	NUM
ejpam-4549	219	6	)	)	PUNCT
ejpam-4549	219	7	bα2	bα2	NOUN
ejpam-4549	219	8	1a	1a	PROPN
ejpam-4549	219	9	−3	−3	PROPN
ejpam-4549	219	10	2	2	NUM
ejpam-4549	219	11	[	[	PUNCT
ejpam-4549	219	12	(	(	PUNCT
ejpam-4549	219	13	2ζ−2	2ζ−2	NUM
ejpam-4549	219	14	+	+	NOUN
ejpam-4549	219	15	ζ−	ζ−	NOUN
ejpam-4549	219	16	′2)k3	′2)k3	NOUN
ejpam-4549	219	17	2	2	NUM
ejpam-4549	219	18	(	(	PUNCT
ejpam-4549	219	19	α1a	α1a	PROPN
ejpam-4549	219	20	)	)	PUNCT
ejpam-4549	220	1	+	+	CCONJ
ejpam-4549	220	2	α1aζ	α1aζ	NUM
ejpam-4549	220	3	−2k1	−2k1	NUM
ejpam-4549	220	4	2	2	NUM
ejpam-4549	220	5	(	(	PUNCT
ejpam-4549	220	6	α1a	α1a	NOUN
ejpam-4549	220	7	)	)	PUNCT
ejpam-4549	220	8	]	]	PUNCT
ejpam-4549	221	1	+	+	PUNCT
ejpam-4549	221	2	cα2	cα2	NOUN
ejpam-4549	221	3	2a	2a	NUM
ejpam-4549	221	4	−3	−3	PROPN
ejpam-4549	221	5	2	2	NUM
ejpam-4549	221	6	[	[	PUNCT
ejpam-4549	221	7	(	(	PUNCT
ejpam-4549	221	8	2ζ−2	2ζ−2	NUM
ejpam-4549	221	9	+	+	NOUN
ejpam-4549	221	10	ζ−	ζ−	NOUN
ejpam-4549	221	11	′2)k3	′2)k3	NOUN
ejpam-4549	221	12	2	2	NUM
ejpam-4549	221	13	(	(	PUNCT
ejpam-4549	221	14	α2a	α2a	NOUN
ejpam-4549	221	15	)	)	PUNCT
ejpam-4549	221	16	+	+	CCONJ
ejpam-4549	221	17	α2aζ	α2aζ	PUNCT
ejpam-4549	221	18	−2k1	−2k1	NUM
ejpam-4549	221	19	2	2	X
ejpam-4549	221	20	(	(	PUNCT
ejpam-4549	221	21	α2a	α2a	NOUN
ejpam-4549	221	22	)	)	PUNCT
ejpam-4549	221	23	]	]	PUNCT
ejpam-4549	222	1	=	=	PUNCT
ejpam-4549	222	2	0	0	X
ejpam-4549	222	3	.	.	PUNCT
ejpam-4549	223	1	(	(	PUNCT
ejpam-4549	223	2	48	48	NUM
ejpam-4549	223	3	)	)	PUNCT
ejpam-4549	223	4	the	the	DET
ejpam-4549	223	5	values	value	NOUN
ejpam-4549	223	6	of	of	ADP
ejpam-4549	223	7	the	the	DET
ejpam-4549	223	8	constants	constant	NOUN
ejpam-4549	223	9	a	a	DET
ejpam-4549	223	10	,	,	PUNCT
ejpam-4549	223	11	b	b	NOUN
ejpam-4549	223	12	,	,	PUNCT
ejpam-4549	223	13	c	c	NOUN
ejpam-4549	223	14	in	in	ADP
ejpam-4549	223	15	this	this	DET
ejpam-4549	223	16	case	case	NOUN
ejpam-4549	223	17	are	be	AUX
ejpam-4549	223	18	given	give	VERB
ejpam-4549	223	19	by	by	ADP
ejpam-4549	223	20	:	:	PUNCT
ejpam-4549	223	21	a	a	DET
ejpam-4549	223	22	=	=	X
ejpam-4549	223	23	−ua3	−ua3	X
ejpam-4549	223	24	+	+	NOUN
ejpam-4549	223	25	10ua∆−1ζ2α2	10ua∆−1ζ2α2	NUM
ejpam-4549	223	26	2(α1a+	2(α1a+	NUM
ejpam-4549	223	27	1)(α2a+	1)(α2a+	NOUN
ejpam-4549	223	28	1)(ζ2	1)(ζ2	NOUN
ejpam-4549	223	29	+	+	CCONJ
ejpam-4549	223	30	(	(	PUNCT
ejpam-4549	223	31	α2a+	α2a+	NOUN
ejpam-4549	223	32	2)ζ	2)ζ	NUM
ejpam-4549	223	33	′2	′2	NOUN
ejpam-4549	223	34	)	)	PUNCT
ejpam-4549	223	35	−	−	PROPN
ejpam-4549	223	36	10ua∆−1ζ2α2	10ua∆−1ζ2α2	NUM
ejpam-4549	224	1	1(α1a+	1(α1a+	NUM
ejpam-4549	224	2	1)(ζ2(α1a+	1)(ζ2(α1a+	NUM
ejpam-4549	224	3	1	1	NUM
ejpam-4549	224	4	)	)	PUNCT
ejpam-4549	224	5	+	+	CCONJ
ejpam-4549	224	6	(	(	PUNCT
ejpam-4549	224	7	α2a	α2a	NOUN
ejpam-4549	224	8	2	2	NUM
ejpam-4549	224	9	+	+	CCONJ
ejpam-4549	224	10	2α1a+	2α1a+	NUM
ejpam-4549	224	11	2)ζ	2)ζ	NUM
ejpam-4549	224	12	′2	′2	NOUN
ejpam-4549	224	13	)	)	PUNCT
ejpam-4549	224	14	,	,	PUNCT
ejpam-4549	224	15	b	b	X
ejpam-4549	224	16	=	=	SYM
ejpam-4549	224	17	−10ua∆−1	−10ua∆−1	PROPN
ejpam-4549	224	18	expα1a	expα1a	PROPN
ejpam-4549	224	19	√	√	ADV
ejpam-4549	224	20	2	2	NUM
ejpam-4549	224	21	πα1	πα1	ADP
ejpam-4549	224	22	ζ2α2	ζ2α2	NOUN
ejpam-4549	224	23	1α	1α	NUM
ejpam-4549	224	24	2	2	NUM
ejpam-4549	224	25	2(α2a+	2(α2a+	NUM
ejpam-4549	224	26	1)(ζ2	1)(ζ2	NUM
ejpam-4549	224	27	+	+	CCONJ
ejpam-4549	224	28	(	(	PUNCT
ejpam-4549	224	29	α2a+	α2a+	NOUN
ejpam-4549	224	30	2)ζ	2)ζ	NUM
ejpam-4549	224	31	′2	′2	NOUN
ejpam-4549	224	32	)	)	PUNCT
ejpam-4549	224	33	,	,	PUNCT
ejpam-4549	224	34	c	c	X
ejpam-4549	224	35	=	=	SYM
ejpam-4549	224	36	10ua∆−1	10ua∆−1	PROPN
ejpam-4549	224	37	expα2a	expα2a	NOUN
ejpam-4549	224	38	√	√	NOUN
ejpam-4549	224	39	2	2	NUM
ejpam-4549	224	40	πα2	πα2	NOUN
ejpam-4549	224	41	ζ2α2	ζ2α2	NOUN
ejpam-4549	224	42	1α	1α	NUM
ejpam-4549	224	43	2	2	NUM
ejpam-4549	224	44	2(ζ	2(ζ	NUM
ejpam-4549	224	45	2(α1a+	2(α1a+	NUM
ejpam-4549	224	46	1	1	NUM
ejpam-4549	224	47	)	)	PUNCT
ejpam-4549	224	48	+	+	CCONJ
ejpam-4549	224	49	(	(	PUNCT
ejpam-4549	224	50	α2	α2	PROPN
ejpam-4549	224	51	1a	1a	X
ejpam-4549	224	52	2	2	NUM
ejpam-4549	224	53	+	+	CCONJ
ejpam-4549	224	54	2α1a+	2α1a+	NUM
ejpam-4549	224	55	2)ζ	2)ζ	NUM
ejpam-4549	224	56	′2	′2	NOUN
ejpam-4549	224	57	)	)	PUNCT
ejpam-4549	224	58	,	,	PUNCT
ejpam-4549	224	59	where	where	SCONJ
ejpam-4549	224	60	,	,	PUNCT
ejpam-4549	224	61	∆	∆	PROPN
ejpam-4549	224	62	=	=	SYM
ejpam-4549	224	63	α2	α2	ADJ
ejpam-4549	224	64	1α	1α	NUM
ejpam-4549	224	65	2	2	NUM
ejpam-4549	224	66	2	2	NUM
ejpam-4549	224	67	(	(	PUNCT
ejpam-4549	224	68	(	(	PUNCT
ejpam-4549	224	69	α1a−	α1a−	NOUN
ejpam-4549	224	70	2α2a−	2α2a−	NUM
ejpam-4549	224	71	1)ζ4	1)ζ4	NUM
ejpam-4549	224	72	+	+	CCONJ
ejpam-4549	224	73	[	[	PUNCT
ejpam-4549	224	74	(	(	PUNCT
ejpam-4549	224	75	α2a+	α2a+	NOUN
ejpam-4549	224	76	2)(α2a	2)(α2a	NUM
ejpam-4549	224	77	2	2	NUM
ejpam-4549	224	78	−	−	NOUN
ejpam-4549	224	79	α1α2a	α1α2a	NUM
ejpam-4549	224	80	2	2	NUM
ejpam-4549	224	81	+	+	CCONJ
ejpam-4549	224	82	α1a−	α1a−	NOUN
ejpam-4549	224	83	3α2a−	3α2a−	ADJ
ejpam-4549	224	84	1)ζ	1)ζ	NUM
ejpam-4549	224	85	′2	′2	X
ejpam-4549	224	86	+	+	CCONJ
ejpam-4549	224	87	(	(	PUNCT
ejpam-4549	224	88	α2	α2	ADJ
ejpam-4549	224	89	1	1	NUM
ejpam-4549	224	90	−	−	NOUN
ejpam-4549	224	91	α2	α2	ADJ
ejpam-4549	224	92	2)(α1a+	2)(α1a+	NUM
ejpam-4549	224	93	1)(α2a+	1)(α2a+	NUM
ejpam-4549	224	94	1	1	NUM
ejpam-4549	224	95	)	)	PUNCT
ejpam-4549	224	96	]	]	PUNCT
ejpam-4549	224	97	ζ2	ζ2	NOUN
ejpam-4549	224	98	+	+	CCONJ
ejpam-4549	224	99	(	(	PUNCT
ejpam-4549	224	100	α2a+	α2a+	NOUN
ejpam-4549	224	101	1	1	NUM
ejpam-4549	224	102	)	)	PUNCT
ejpam-4549	224	103	[	[	PUNCT
ejpam-4549	224	104	α3	α3	NOUN
ejpam-4549	224	105	1α2a	1α2a	NOUN
ejpam-4549	224	106	2	2	NUM
ejpam-4549	224	107	−	−	NOUN
ejpam-4549	224	108	α2	α2	ADJ
ejpam-4549	224	109	1α	1α	NUM
ejpam-4549	224	110	2	2	NUM
ejpam-4549	224	111	2a	2a	NUM
ejpam-4549	224	112	2	2	NUM
ejpam-4549	224	113	+	+	CCONJ
ejpam-4549	224	114	2α3	2α3	NUM
ejpam-4549	224	115	1a+	1a+	NUM
ejpam-4549	224	116	α2	α2	ADJ
ejpam-4549	224	117	1α2a	1α2a	NOUN
ejpam-4549	224	118	−	−	PROPN
ejpam-4549	224	119	2α1α	2α1α	NOUN
ejpam-4549	225	1	2	2	NUM
ejpam-4549	225	2	2a+	2a+	NUM
ejpam-4549	225	3	2α2	2α2	NUM
ejpam-4549	225	4	1	1	NUM
ejpam-4549	225	5	−	−	PROPN
ejpam-4549	225	6	2α2	2α2	NUM
ejpam-4549	225	7	]	]	PUNCT
ejpam-4549	225	8	)	)	PUNCT
ejpam-4549	225	9	.	.	PUNCT
ejpam-4549	226	1	the	the	DET
ejpam-4549	226	2	drag	drag	NOUN
ejpam-4549	226	3	force	force	NOUN
ejpam-4549	226	4	is	be	AUX
ejpam-4549	226	5	obtained	obtain	VERB
ejpam-4549	226	6	as	as	ADP
ejpam-4549	226	7	:	:	PUNCT
ejpam-4549	226	8	fz	fz	NOUN
ejpam-4549	226	9	πua2	πua2	NOUN
ejpam-4549	226	10	=	=	NOUN
ejpam-4549	226	11	2	2	NUM
ejpam-4549	226	12	3∆	3∆	NUM
ejpam-4549	226	13	−1	−1	NOUN
ejpam-4549	226	14	(	(	PUNCT
ejpam-4549	226	15	κ2a−1	κ2a−1	PROPN
ejpam-4549	226	16	[	[	PUNCT
ejpam-4549	226	17	−	−	PUNCT
ejpam-4549	226	18	a2∆+	a2∆+	PROPN
ejpam-4549	226	19	10ζ2α2	10ζ2α2	NOUN
ejpam-4549	227	1	2(α1a+	2(α1a+	NUM
ejpam-4549	227	2	1)(α2a+	1)(α2a+	NOUN
ejpam-4549	227	3	1)(ζ2	1)(ζ2	NOUN
ejpam-4549	227	4	+	+	CCONJ
ejpam-4549	227	5	(	(	PUNCT
ejpam-4549	227	6	α2a+	α2a+	NOUN
ejpam-4549	227	7	2)ζ	2)ζ	NUM
ejpam-4549	227	8	′2	′2	NOUN
ejpam-4549	227	9	)	)	PUNCT
ejpam-4549	227	10	−10ζ2α2	−10ζ2α2	NOUN
ejpam-4549	228	1	1a(α1a+	1a(α1a+	NUM
ejpam-4549	228	2	1)(ζ2(α1a+	1)(ζ2(α1a+	NOUN
ejpam-4549	228	3	1	1	NUM
ejpam-4549	228	4	)	)	PUNCT
ejpam-4549	229	1	+	+	CCONJ
ejpam-4549	229	2	(	(	PUNCT
ejpam-4549	229	3	ζ2a2	ζ2a2	PROPN
ejpam-4549	229	4	+	+	NUM
ejpam-4549	229	5	2α2a+	2α2a+	NUM
ejpam-4549	229	6	2)ζ	2)ζ	NUM
ejpam-4549	229	7	′2	′2	NOUN
ejpam-4549	229	8	)	)	PUNCT
ejpam-4549	229	9	]	]	PUNCT
ejpam-4549	230	1	−20α2	−20α2	X
ejpam-4549	230	2	1α	1α	NUM
ejpam-4549	230	3	2	2	NUM
ejpam-4549	230	4	2a	2a	NUM
ejpam-4549	230	5	2(α2	2(α2	NUM
ejpam-4549	230	6	1	1	NUM
ejpam-4549	230	7	−	−	NOUN
ejpam-4549	230	8	ζ2)(α1a+	ζ2)(α1a+	ADJ
ejpam-4549	230	9	1)(α2a+	1)(α2a+	NUM
ejpam-4549	230	10	1)(ζ2	1)(ζ2	NOUN
ejpam-4549	230	11	+	+	CCONJ
ejpam-4549	230	12	(	(	PUNCT
ejpam-4549	230	13	α2a+	α2a+	NOUN
ejpam-4549	230	14	2)ζ	2)ζ	NUM
ejpam-4549	230	15	′2	′2	NOUN
ejpam-4549	230	16	)	)	PUNCT
ejpam-4549	231	1	+20α2	+20α2	ADJ
ejpam-4549	231	2	1α	1α	NUM
ejpam-4549	231	3	2	2	NUM
ejpam-4549	231	4	2a	2a	NUM
ejpam-4549	231	5	2(α2	2(α2	NUM
ejpam-4549	231	6	2	2	NUM
ejpam-4549	231	7	−	−	NOUN
ejpam-4549	231	8	ζ2)(α2a+	ζ2)(α2a+	PROPN
ejpam-4549	231	9	1)(ζ2(α1a+	1)(ζ2(α1a+	NOUN
ejpam-4549	231	10	1	1	NUM
ejpam-4549	231	11	)	)	PUNCT
ejpam-4549	231	12	+	+	CCONJ
ejpam-4549	231	13	(	(	PUNCT
ejpam-4549	231	14	α2a	α2a	NOUN
ejpam-4549	231	15	2	2	NUM
ejpam-4549	231	16	+	+	CCONJ
ejpam-4549	231	17	2α1a+	2α1a+	NUM
ejpam-4549	231	18	2)ζ	2)ζ	NUM
ejpam-4549	231	19	′2	′2	NOUN
ejpam-4549	231	20	)	)	PUNCT
ejpam-4549	231	21	)	)	PUNCT
ejpam-4549	231	22	.	.	PUNCT
ejpam-4549	232	1	(	(	PUNCT
ejpam-4549	232	2	49	49	NUM
ejpam-4549	232	3	)	)	PUNCT
ejpam-4549	232	4	shreen	shreen	PROPN
ejpam-4549	232	5	el	el	PROPN
ejpam-4549	232	6	-	-	PUNCT
ejpam-4549	232	7	sapa	sapa	PROPN
ejpam-4549	232	8	/	/	SYM
ejpam-4549	232	9	eur	eur	NOUN
ejpam-4549	232	10	.	.	PUNCT
ejpam-4549	233	1	j.	j.	PROPN
ejpam-4549	233	2	pure	pure	PROPN
ejpam-4549	233	3	appl	appl	PROPN
ejpam-4549	233	4	.	.	PROPN
ejpam-4549	233	5	math	math	PROPN
ejpam-4549	233	6	,	,	PUNCT
ejpam-4549	233	7	15	15	NUM
ejpam-4549	233	8	(	(	PUNCT
ejpam-4549	233	9	4	4	NUM
ejpam-4549	233	10	)	)	PUNCT
ejpam-4549	233	11	(	(	PUNCT
ejpam-4549	233	12	2022	2022	NUM
ejpam-4549	233	13	)	)	PUNCT
ejpam-4549	233	14	,	,	PUNCT
ejpam-4549	233	15	1566	1566	NUM
ejpam-4549	233	16	-	-	SYM
ejpam-4549	233	17	1592	1592	NUM
ejpam-4549	233	18	1577	1577	NUM
ejpam-4549	233	19	9	9	NUM
ejpam-4549	233	20	.	.	PUNCT
ejpam-4549	233	21	results	result	NOUN
ejpam-4549	233	22	and	and	CCONJ
ejpam-4549	233	23	discussions	discussion	NOUN
ejpam-4549	233	24	in	in	ADP
ejpam-4549	233	25	the	the	DET
ejpam-4549	233	26	present	present	ADJ
ejpam-4549	233	27	section	section	NOUN
ejpam-4549	233	28	,	,	PUNCT
ejpam-4549	233	29	we	we	PRON
ejpam-4549	233	30	aim	aim	VERB
ejpam-4549	233	31	to	to	PART
ejpam-4549	233	32	represent	represent	VERB
ejpam-4549	233	33	numerically	numerically	ADV
ejpam-4549	233	34	the	the	DET
ejpam-4549	233	35	normalized	normalize	VERB
ejpam-4549	233	36	drag	drag	NOUN
ejpam-4549	233	37	force	force	NOUN
ejpam-4549	233	38	fz	fz	PROPN
ejpam-4549	233	39	/	/	SYM
ejpam-4549	233	40	f0	f0	PROPN
ejpam-4549	233	41	acting	act	VERB
ejpam-4549	233	42	on	on	ADP
ejpam-4549	233	43	a	a	DET
ejpam-4549	233	44	solid	solid	ADJ
ejpam-4549	233	45	sphere	sphere	NOUN
ejpam-4549	233	46	and	and	CCONJ
ejpam-4549	233	47	distributions	distribution	NOUN
ejpam-4549	233	48	of	of	ADP
ejpam-4549	233	49	velocity	velocity	NOUN
ejpam-4549	233	50	components	component	NOUN
ejpam-4549	233	51	for	for	ADP
ejpam-4549	233	52	different	different	ADJ
ejpam-4549	233	53	values	value	NOUN
ejpam-4549	233	54	of	of	ADP
ejpam-4549	233	55	the	the	DET
ejpam-4549	233	56	physical	physical	ADJ
ejpam-4549	233	57	parameters	parameter	NOUN
ejpam-4549	233	58	appearing	appear	VERB
ejpam-4549	233	59	in	in	ADP
ejpam-4549	233	60	the	the	DET
ejpam-4549	233	61	governing	govern	VERB
ejpam-4549	233	62	equations	equation	NOUN
ejpam-4549	233	63	in	in	ADP
ejpam-4549	233	64	figs	fig	NOUN
ejpam-4549	233	65	2	2	NUM
ejpam-4549	233	66	-	-	SYM
ejpam-4549	233	67	11	11	NUM
ejpam-4549	233	68	and	and	CCONJ
ejpam-4549	233	69	tables	table	NOUN
ejpam-4549	233	70	1	1	NUM
ejpam-4549	233	71	-	-	SYM
ejpam-4549	233	72	3	3	NUM
ejpam-4549	233	73	.	.	PUNCT
ejpam-4549	234	1	all	all	DET
ejpam-4549	234	2	the	the	DET
ejpam-4549	234	3	results	result	NOUN
ejpam-4549	234	4	of	of	ADP
ejpam-4549	234	5	drag	drag	NOUN
ejpam-4549	234	6	force	force	NOUN
ejpam-4549	234	7	had	have	AUX
ejpam-4549	234	8	been	be	AUX
ejpam-4549	234	9	calculated	calculate	VERB
ejpam-4549	234	10	for	for	ADP
ejpam-4549	234	11	real	real	ADJ
ejpam-4549	234	12	part	part	NOUN
ejpam-4549	234	13	and	and	CCONJ
ejpam-4549	234	14	matlab	matlab	PROPN
ejpam-4549	234	15	program	program	NOUN
ejpam-4549	234	16	neglect	neglect	NOUN
ejpam-4549	234	17	the	the	DET
ejpam-4549	234	18	imaginary	imaginary	ADJ
ejpam-4549	234	19	part	part	NOUN
ejpam-4549	234	20	during	during	ADP
ejpam-4549	234	21	the	the	DET
ejpam-4549	234	22	calculations	calculation	NOUN
ejpam-4549	234	23	.	.	PUNCT
ejpam-4549	235	1	fig	fig	NOUN
ejpam-4549	235	2	.	.	PUNCT
ejpam-4549	236	1	2	2	NUM
ejpam-4549	236	2	shows	show	VERB
ejpam-4549	236	3	the	the	DET
ejpam-4549	236	4	normalized	normalize	VERB
ejpam-4549	236	5	drag	drag	NOUN
ejpam-4549	236	6	force	force	NOUN
ejpam-4549	236	7	for	for	ADP
ejpam-4549	236	8	different	different	ADJ
ejpam-4549	236	9	values	value	NOUN
ejpam-4549	236	10	of	of	ADP
ejpam-4549	236	11	the	the	DET
ejpam-4549	236	12	couple	couple	NOUN
ejpam-4549	236	13	stress	stress	NOUN
ejpam-4549	236	14	parameter	parameter	NOUN
ejpam-4549	236	15	ζ	ζ	NOUN
ejpam-4549	236	16	=	=	NOUN
ejpam-4549	236	17	0.01	0.01	NUM
ejpam-4549	236	18	,	,	PUNCT
ejpam-4549	236	19	1.0	1.0	NUM
ejpam-4549	236	20	,	,	PUNCT
ejpam-4549	236	21	10.0,∞	10.0,∞	NUM
ejpam-4549	236	22	with	with	ADP
ejpam-4549	236	23	ζ	ζ	NOUN
ejpam-4549	236	24	′	′	NOUN
ejpam-4549	236	25	and	and	CCONJ
ejpam-4549	236	26	β1	β1	PROPN
ejpam-4549	236	27	aµ	aµ	PROPN
ejpam-4549	236	28	=	=	PRON
ejpam-4549	236	29	aβ2	aβ2	VERB
ejpam-4549	236	30	µ	µ	X
ejpam-4549	236	31	=	=	SYM
ejpam-4549	236	32	0.001	0.001	NUM
ejpam-4549	236	33	,	,	PUNCT
ejpam-4549	236	34	1.0	1.0	NUM
ejpam-4549	236	35	,	,	PUNCT
ejpam-4549	236	36	10.0,∞	10.0,∞	NUM
ejpam-4549	236	37	which	which	PRON
ejpam-4549	236	38	increases	increase	VERB
ejpam-4549	236	39	with	with	ADP
ejpam-4549	236	40	the	the	DET
ejpam-4549	236	41	increase	increase	NOUN
ejpam-4549	236	42	of	of	ADP
ejpam-4549	236	43	the	the	DET
ejpam-4549	236	44	permeability	permeability	NOUN
ejpam-4549	236	45	parameter	parameter	NOUN
ejpam-4549	236	46	starts	start	VERB
ejpam-4549	236	47	from	from	ADP
ejpam-4549	236	48	low	low	ADV
ejpam-4549	236	49	at	at	ADP
ejpam-4549	236	50	κ	κ	NOUN
ejpam-4549	236	51	→	→	SYM
ejpam-4549	236	52	0	0	NUM
ejpam-4549	236	53	for	for	ADP
ejpam-4549	236	54	stokes	stoke	NOUN
ejpam-4549	236	55	flow	flow	NOUN
ejpam-4549	236	56	but	but	CCONJ
ejpam-4549	236	57	at	at	ADP
ejpam-4549	236	58	κ	κ	NOUN
ejpam-4549	236	59	→	→	SYM
ejpam-4549	236	60	∞	∞	PROPN
ejpam-4549	236	61	gives	give	VERB
ejpam-4549	236	62	darcy	darcy	PROPN
ejpam-4549	236	63	flow	flow	NOUN
ejpam-4549	236	64	.	.	PUNCT
ejpam-4549	237	1	on	on	ADP
ejpam-4549	237	2	the	the	DET
ejpam-4549	237	3	other	other	ADJ
ejpam-4549	237	4	hand	hand	NOUN
ejpam-4549	237	5	,	,	PUNCT
ejpam-4549	237	6	the	the	DET
ejpam-4549	237	7	normalized	normalize	VERB
ejpam-4549	237	8	drag	drag	NOUN
ejpam-4549	237	9	force	force	NOUN
ejpam-4549	237	10	decreases	decrease	VERB
ejpam-4549	237	11	with	with	ADP
ejpam-4549	237	12	the	the	DET
ejpam-4549	237	13	increase	increase	NOUN
ejpam-4549	237	14	of	of	ADP
ejpam-4549	237	15	the	the	DET
ejpam-4549	237	16	couple	couple	NOUN
ejpam-4549	237	17	stress	stress	NOUN
ejpam-4549	237	18	parameter	parameter	NOUN
ejpam-4549	237	19	.	.	PUNCT
ejpam-4549	238	1	fig	fig	NOUN
ejpam-4549	238	2	.	.	PUNCT
ejpam-4549	239	1	3	3	NUM
ejpam-4549	239	2	presents	present	VERB
ejpam-4549	239	3	the	the	DET
ejpam-4549	239	4	normalized	normalize	VERB
ejpam-4549	239	5	drag	drag	NOUN
ejpam-4549	239	6	force	force	NOUN
ejpam-4549	239	7	for	for	ADP
ejpam-4549	239	8	different	different	ADJ
ejpam-4549	239	9	values	value	NOUN
ejpam-4549	239	10	β1	β1	VERB
ejpam-4549	239	11	aµ	aµ	PROPN
ejpam-4549	239	12	=	=	PRON
ejpam-4549	239	13	aβ2	aβ2	VERB
ejpam-4549	239	14	µ	µ	X
ejpam-4549	239	15	=	=	SYM
ejpam-4549	239	16	0.0	0.0	NUM
ejpam-4549	239	17	,	,	PUNCT
ejpam-4549	239	18	1.0	1.0	NUM
ejpam-4549	239	19	,	,	PUNCT
ejpam-4549	239	20	10.0,∞	10.0,∞	NUM
ejpam-4549	239	21	at	at	ADP
ejpam-4549	239	22	the	the	DET
ejpam-4549	239	23	various	various	ADJ
ejpam-4549	239	24	values	value	NOUN
ejpam-4549	239	25	of	of	ADP
ejpam-4549	239	26	the	the	DET
ejpam-4549	239	27	couple	couple	NOUN
ejpam-4549	239	28	stress	stress	NOUN
ejpam-4549	239	29	parameter	parameter	NOUN
ejpam-4549	239	30	ζ	ζ	NOUN
ejpam-4549	239	31	at	at	ADP
ejpam-4549	239	32	ζ	ζ	NOUN
ejpam-4549	239	33	′	′	NUM
ejpam-4549	239	34	which	which	PRON
ejpam-4549	239	35	increases	increase	VERB
ejpam-4549	239	36	with	with	ADP
ejpam-4549	239	37	the	the	DET
ejpam-4549	239	38	increase	increase	NOUN
ejpam-4549	239	39	of	of	ADP
ejpam-4549	239	40	the	the	DET
ejpam-4549	239	41	slip	slip	NOUN
ejpam-4549	239	42	parameters	parameter	NOUN
ejpam-4549	239	43	.	.	PUNCT
ejpam-4549	240	1	table	table	NOUN
ejpam-4549	240	2	1	1	NUM
ejpam-4549	240	3	represents	represent	VERB
ejpam-4549	240	4	the	the	DET
ejpam-4549	240	5	effects	effect	NOUN
ejpam-4549	240	6	of	of	ADP
ejpam-4549	240	7	slip	slip	NOUN
ejpam-4549	240	8	and	and	CCONJ
ejpam-4549	240	9	spin	spin	VERB
ejpam-4549	240	10	slip	slip	NOUN
ejpam-4549	240	11	parameters	parameter	NOUN
ejpam-4549	240	12	with	with	ADP
ejpam-4549	240	13	different	different	ADJ
ejpam-4549	240	14	values	value	NOUN
ejpam-4549	240	15	of	of	ADP
ejpam-4549	240	16	the	the	DET
ejpam-4549	240	17	couple	couple	NOUN
ejpam-4549	240	18	stress	stress	NOUN
ejpam-4549	240	19	parameter	parameter	NOUN
ejpam-4549	240	20	.	.	PUNCT
ejpam-4549	241	1	fig	fig	NOUN
ejpam-4549	241	2	.	.	PUNCT
ejpam-4549	242	1	4	4	NUM
ejpam-4549	242	2	-	-	SYM
ejpam-4549	242	3	5	5	NUM
ejpam-4549	242	4	exposes	expose	VERB
ejpam-4549	242	5	the	the	DET
ejpam-4549	242	6	velocity	velocity	NOUN
ejpam-4549	242	7	distribution	distribution	NOUN
ejpam-4549	242	8	for	for	ADP
ejpam-4549	242	9	partial	partial	ADJ
ejpam-4549	242	10	slip	slip	NOUN
ejpam-4549	242	11	and	and	CCONJ
ejpam-4549	242	12	partial	partial	ADJ
ejpam-4549	242	13	spin	spin	NOUN
ejpam-4549	242	14	slip	slip	NOUN
ejpam-4549	242	15	for	for	ADP
ejpam-4549	242	16	various	various	ADJ
ejpam-4549	242	17	values	value	NOUN
ejpam-4549	242	18	of	of	ADP
ejpam-4549	242	19	the	the	DET
ejpam-4549	242	20	permeability	permeability	NOUN
ejpam-4549	242	21	and	and	CCONJ
ejpam-4549	242	22	ζ	ζ	NOUN
ejpam-4549	242	23	=	=	SYM
ejpam-4549	242	24	4.0	4.0	NUM
ejpam-4549	242	25	,	,	PUNCT
ejpam-4549	242	26	ζ	ζ	NOUN
ejpam-4549	242	27	′	′	NOUN
ejpam-4549	242	28	=	=	NOUN
ejpam-4549	242	29	0.01	0.01	NUM
ejpam-4549	242	30	,	,	PUNCT
ejpam-4549	242	31	β1	β1	PROPN
ejpam-4549	242	32	aµ	aµ	PROPN
ejpam-4549	242	33	=	=	PRON
ejpam-4549	242	34	aβ2	aβ2	VERB
ejpam-4549	242	35	µ	µ	X
ejpam-4549	242	36	=	=	SYM
ejpam-4549	242	37	2.0	2.0	NUM
ejpam-4549	242	38	the	the	DET
ejpam-4549	242	39	normal	normal	ADJ
ejpam-4549	242	40	and	and	CCONJ
ejpam-4549	242	41	tangential	tangential	ADJ
ejpam-4549	242	42	velocities	velocity	NOUN
ejpam-4549	242	43	reduce	reduce	VERB
ejpam-4549	242	44	with	with	ADP
ejpam-4549	242	45	both	both	CCONJ
ejpam-4549	242	46	the	the	DET
ejpam-4549	242	47	increase	increase	NOUN
ejpam-4549	242	48	of	of	ADP
ejpam-4549	242	49	the	the	DET
ejpam-4549	242	50	sphere	sphere	NOUN
ejpam-4549	242	51	radius	radius	NOUN
ejpam-4549	242	52	and	and	CCONJ
ejpam-4549	242	53	the	the	DET
ejpam-4549	242	54	increase	increase	NOUN
ejpam-4549	242	55	of	of	ADP
ejpam-4549	242	56	the	the	DET
ejpam-4549	242	57	permeability	permeability	NOUN
ejpam-4549	242	58	parameter	parameter	NOUN
ejpam-4549	242	59	.	.	PUNCT
ejpam-4549	243	1	figs	fig	NOUN
ejpam-4549	243	2	.	.	PUNCT
ejpam-4549	244	1	6	6	NUM
ejpam-4549	244	2	-	-	SYM
ejpam-4549	244	3	8	8	NUM
ejpam-4549	244	4	and	and	CCONJ
ejpam-4549	244	5	table	table	NOUN
ejpam-4549	244	6	2	2	NUM
ejpam-4549	244	7	show	show	VERB
ejpam-4549	244	8	the	the	DET
ejpam-4549	244	9	special	special	ADJ
ejpam-4549	244	10	cases	case	NOUN
ejpam-4549	244	11	of	of	ADP
ejpam-4549	244	12	no	no	DET
ejpam-4549	244	13	-	-	PUNCT
ejpam-4549	244	14	slip	slip	NOUN
ejpam-4549	244	15	and	and	CCONJ
ejpam-4549	244	16	no	no	DET
ejpam-4549	244	17	-	-	PUNCT
ejpam-4549	244	18	spin	spin	NOUN
ejpam-4549	244	19	slip	slip	NOUN
ejpam-4549	244	20	where	where	SCONJ
ejpam-4549	244	21	the	the	DET
ejpam-4549	244	22	normalized	normalize	VERB
ejpam-4549	244	23	drag	drag	NOUN
ejpam-4549	244	24	force	force	NOUN
ejpam-4549	244	25	begins	begin	VERB
ejpam-4549	244	26	slowly	slowly	ADV
ejpam-4549	244	27	at	at	ADP
ejpam-4549	244	28	stokes	stoke	NOUN
ejpam-4549	244	29	flow	flow	NOUN
ejpam-4549	244	30	and	and	CCONJ
ejpam-4549	244	31	increases	increase	VERB
ejpam-4549	244	32	gradually	gradually	ADV
ejpam-4549	244	33	to	to	PART
ejpam-4549	244	34	reach	reach	VERB
ejpam-4549	244	35	high	high	ADJ
ejpam-4549	244	36	values	value	NOUN
ejpam-4549	244	37	for	for	ADP
ejpam-4549	244	38	darcy	darcy	PROPN
ejpam-4549	244	39	flow	flow	NOUN
ejpam-4549	244	40	.	.	PUNCT
ejpam-4549	245	1	in	in	ADP
ejpam-4549	245	2	addition	addition	NOUN
ejpam-4549	245	3	,	,	PUNCT
ejpam-4549	245	4	the	the	DET
ejpam-4549	245	5	normal	normal	ADJ
ejpam-4549	245	6	velocity	velocity	NOUN
ejpam-4549	245	7	decreases	decrease	VERB
ejpam-4549	245	8	with	with	ADP
ejpam-4549	245	9	the	the	DET
ejpam-4549	245	10	increase	increase	NOUN
ejpam-4549	245	11	of	of	ADP
ejpam-4549	245	12	radius	radius	NOUN
ejpam-4549	245	13	r	r	NOUN
ejpam-4549	245	14	and	and	CCONJ
ejpam-4549	245	15	reduces	reduce	VERB
ejpam-4549	245	16	with	with	ADP
ejpam-4549	245	17	the	the	DET
ejpam-4549	245	18	increase	increase	NOUN
ejpam-4549	245	19	of	of	ADP
ejpam-4549	245	20	the	the	DET
ejpam-4549	245	21	permeability	permeability	NOUN
ejpam-4549	245	22	while	while	SCONJ
ejpam-4549	245	23	the	the	DET
ejpam-4549	245	24	tangential	tangential	ADJ
ejpam-4549	245	25	velocity	velocity	NOUN
ejpam-4549	245	26	reverse	reverse	VERB
ejpam-4549	245	27	its	its	PRON
ejpam-4549	245	28	improves	improve	VERB
ejpam-4549	245	29	the	the	DET
ejpam-4549	245	30	improve	improve	NOUN
ejpam-4549	245	31	of	of	ADP
ejpam-4549	245	32	the	the	DET
ejpam-4549	245	33	permeability	permeability	NOUN
ejpam-4549	245	34	parameter	parameter	NOUN
ejpam-4549	245	35	and	and	CCONJ
ejpam-4549	245	36	near	near	ADP
ejpam-4549	245	37	to	to	ADP
ejpam-4549	245	38	r	r	NOUN
ejpam-4549	245	39	=	=	SYM
ejpam-4549	245	40	7.0	7.0	NUM
ejpam-4549	245	41	it	it	PRON
ejpam-4549	245	42	behaves	behave	VERB
ejpam-4549	245	43	like	like	ADP
ejpam-4549	245	44	the	the	DET
ejpam-4549	245	45	normal	normal	ADJ
ejpam-4549	245	46	velocity	velocity	NOUN
ejpam-4549	245	47	.	.	PUNCT
ejpam-4549	246	1	figs	fig	NOUN
ejpam-4549	246	2	.	.	PUNCT
ejpam-4549	247	1	9	9	NUM
ejpam-4549	247	2	and	and	CCONJ
ejpam-4549	247	3	table	table	NOUN
ejpam-4549	247	4	3	3	NUM
ejpam-4549	247	5	illustrate	illustrate	VERB
ejpam-4549	247	6	the	the	DET
ejpam-4549	247	7	special	special	ADJ
ejpam-4549	247	8	cases	case	NOUN
ejpam-4549	247	9	of	of	ADP
ejpam-4549	247	10	perfect	perfect	ADJ
ejpam-4549	247	11	slip	slip	NOUN
ejpam-4549	247	12	and	and	CCONJ
ejpam-4549	247	13	perfect	perfect	ADJ
ejpam-4549	247	14	spin	spin	NOUN
ejpam-4549	247	15	slip	slip	NOUN
ejpam-4549	247	16	for	for	ADP
ejpam-4549	247	17	the	the	DET
ejpam-4549	247	18	normalized	normalize	VERB
ejpam-4549	247	19	drag	drag	NOUN
ejpam-4549	247	20	force	force	NOUN
ejpam-4549	247	21	gives	give	VERB
ejpam-4549	247	22	the	the	DET
ejpam-4549	247	23	same	same	ADJ
ejpam-4549	247	24	effect	effect	NOUN
ejpam-4549	247	25	for	for	ADP
ejpam-4549	247	26	the	the	DET
ejpam-4549	247	27	above	above	ADJ
ejpam-4549	247	28	cases	case	NOUN
ejpam-4549	247	29	.	.	PUNCT
ejpam-4549	248	1	figs	fig	NOUN
ejpam-4549	248	2	10	10	NUM
ejpam-4549	248	3	-	-	SYM
ejpam-4549	248	4	11	11	NUM
ejpam-4549	248	5	explain	explain	VERB
ejpam-4549	248	6	the	the	DET
ejpam-4549	248	7	distributions	distribution	NOUN
ejpam-4549	248	8	of	of	ADP
ejpam-4549	248	9	the	the	DET
ejpam-4549	248	10	streamlines	streamline	NOUN
ejpam-4549	248	11	for	for	ADP
ejpam-4549	248	12	ζ	ζ	NOUN
ejpam-4549	248	13	=	=	SYM
ejpam-4549	248	14	10.0	10.0	NUM
ejpam-4549	248	15	,	,	PUNCT
ejpam-4549	248	16	ζ	ζ	NOUN
ejpam-4549	248	17	′	′	NOUN
ejpam-4549	248	18	=	=	NOUN
ejpam-4549	248	19	0.1	0.1	NUM
ejpam-4549	248	20	for	for	ADP
ejpam-4549	248	21	the	the	DET
ejpam-4549	248	22	three	three	NUM
ejpam-4549	248	23	cases	case	NOUN
ejpam-4549	248	24	for	for	ADP
ejpam-4549	248	25	the	the	DET
ejpam-4549	248	26	slip	slip	NOUN
ejpam-4549	248	27	conditions	condition	NOUN
ejpam-4549	248	28	with	with	ADP
ejpam-4549	248	29	κ	κ	NOUN
ejpam-4549	248	30	=	=	SYM
ejpam-4549	248	31	0.0	0.0	NUM
ejpam-4549	248	32	,	,	PUNCT
ejpam-4549	248	33	1.0	1.0	NUM
ejpam-4549	248	34	,	,	PUNCT
ejpam-4549	248	35	3.0	3.0	NUM
ejpam-4549	248	36	,	,	PUNCT
ejpam-4549	248	37	4.0	4.0	NUM
ejpam-4549	248	38	,	,	PUNCT
ejpam-4549	248	39	6.0	6.0	NUM
ejpam-4549	248	40	,	,	PUNCT
ejpam-4549	248	41	10.0	10.0	NUM
ejpam-4549	248	42	and	and	CCONJ
ejpam-4549	248	43	the	the	DET
ejpam-4549	248	44	couple	couple	NOUN
ejpam-4549	248	45	stress	stress	NOUN
ejpam-4549	248	46	parameter	parameter	NOUN
ejpam-4549	248	47	with	with	ADP
ejpam-4549	248	48	the	the	DET
ejpam-4549	248	49	values	value	NOUN
ejpam-4549	248	50	of	of	ADP
ejpam-4549	248	51	ζ	ζ	NOUN
ejpam-4549	249	1	′	′	NUM
ejpam-4549	249	2	=	=	SYM
ejpam-4549	249	3	0.1	0.1	NUM
ejpam-4549	249	4	,	,	PUNCT
ejpam-4549	250	1	β1	β1	PROPN
ejpam-4549	250	2	aµ	aµ	PROPN
ejpam-4549	250	3	=	=	PRON
ejpam-4549	250	4	aβ2	aβ2	VERB
ejpam-4549	250	5	µ	µ	X
ejpam-4549	250	6	=	=	SYM
ejpam-4549	250	7	10.0	10.0	NUM
ejpam-4549	250	8	.	.	PUNCT
ejpam-4549	251	1	it	it	PRON
ejpam-4549	251	2	is	be	AUX
ejpam-4549	251	3	noticed	notice	VERB
ejpam-4549	251	4	that	that	SCONJ
ejpam-4549	251	5	the	the	DET
ejpam-4549	251	6	streamlines	streamline	NOUN
ejpam-4549	251	7	move	move	VERB
ejpam-4549	251	8	uniformly	uniformly	ADV
ejpam-4549	251	9	at	at	ADP
ejpam-4549	251	10	κ	κ	NOUN
ejpam-4549	251	11	=	=	SYM
ejpam-4549	251	12	0.0	0.0	NUM
ejpam-4549	251	13	which	which	PRON
ejpam-4549	251	14	agrees	agree	VERB
ejpam-4549	251	15	with	with	ADP
ejpam-4549	251	16	the	the	DET
ejpam-4549	251	17	results	result	NOUN
ejpam-4549	251	18	of	of	ADP
ejpam-4549	251	19	viscous	viscous	ADJ
ejpam-4549	251	20	fluid	fluid	NOUN
ejpam-4549	251	21	in	in	ADP
ejpam-4549	251	22	the	the	DET
ejpam-4549	251	23	literature	literature	NOUN
ejpam-4549	251	24	but	but	CCONJ
ejpam-4549	251	25	for	for	ADP
ejpam-4549	251	26	the	the	DET
ejpam-4549	251	27	increasing	increasing	NOUN
ejpam-4549	251	28	of	of	ADP
ejpam-4549	251	29	the	the	DET
ejpam-4549	251	30	permeability	permeability	NOUN
ejpam-4549	251	31	,	,	PUNCT
ejpam-4549	251	32	it	it	PRON
ejpam-4549	251	33	appears	appear	VERB
ejpam-4549	251	34	as	as	ADP
ejpam-4549	251	35	a	a	DET
ejpam-4549	251	36	loop	loop	NOUN
ejpam-4549	251	37	around	around	ADP
ejpam-4549	251	38	the	the	DET
ejpam-4549	251	39	sphere	sphere	NOUN
ejpam-4549	251	40	until	until	ADP
ejpam-4549	251	41	reaching	reach	VERB
ejpam-4549	251	42	the	the	DET
ejpam-4549	251	43	darcy	darcy	PROPN
ejpam-4549	251	44	flow	flow	NOUN
ejpam-4549	251	45	the	the	DET
ejpam-4549	251	46	molecules	molecule	NOUN
ejpam-4549	251	47	are	be	AUX
ejpam-4549	251	48	crowded	crowded	ADJ
ejpam-4549	251	49	.	.	PUNCT
ejpam-4549	252	1	moreover	moreover	ADV
ejpam-4549	252	2	,	,	PUNCT
ejpam-4549	252	3	it	it	PRON
ejpam-4549	252	4	also	also	ADV
ejpam-4549	252	5	clarifies	clarify	VERB
ejpam-4549	252	6	in	in	ADP
ejpam-4549	252	7	the	the	DET
ejpam-4549	252	8	case	case	NOUN
ejpam-4549	252	9	of	of	ADP
ejpam-4549	252	10	the	the	DET
ejpam-4549	252	11	increase	increase	NOUN
ejpam-4549	252	12	of	of	ADP
ejpam-4549	252	13	the	the	DET
ejpam-4549	252	14	couple	couple	NOUN
ejpam-4549	252	15	stress	stress	NOUN
ejpam-4549	252	16	parameter	parameter	NOUN
ejpam-4549	252	17	with	with	ADP
ejpam-4549	252	18	the	the	DET
ejpam-4549	252	19	rising	rise	VERB
ejpam-4549	252	20	in	in	ADP
ejpam-4549	252	21	the	the	DET
ejpam-4549	252	22	values	value	NOUN
ejpam-4549	252	23	of	of	ADP
ejpam-4549	252	24	κ	κ	PROPN
ejpam-4549	252	25	.	.	PUNCT
ejpam-4549	253	1	shreen	shreen	PROPN
ejpam-4549	253	2	el	el	PROPN
ejpam-4549	253	3	-	-	PUNCT
ejpam-4549	253	4	sapa	sapa	PROPN
ejpam-4549	253	5	/	/	SYM
ejpam-4549	253	6	eur	eur	NOUN
ejpam-4549	253	7	.	.	PUNCT
ejpam-4549	254	1	j.	j.	PROPN
ejpam-4549	254	2	pure	pure	PROPN
ejpam-4549	254	3	appl	appl	PROPN
ejpam-4549	254	4	.	.	PROPN
ejpam-4549	254	5	math	math	PROPN
ejpam-4549	254	6	,	,	PUNCT
ejpam-4549	254	7	15	15	NUM
ejpam-4549	254	8	(	(	PUNCT
ejpam-4549	254	9	4	4	NUM
ejpam-4549	254	10	)	)	PUNCT
ejpam-4549	254	11	(	(	PUNCT
ejpam-4549	254	12	2022	2022	NUM
ejpam-4549	254	13	)	)	PUNCT
ejpam-4549	254	14	,	,	PUNCT
ejpam-4549	254	15	1566	1566	NUM
ejpam-4549	254	16	-	-	SYM
ejpam-4549	254	17	1592	1592	NUM
ejpam-4549	254	18	1578	1578	NUM
ejpam-4549	254	19	table	table	NOUN
ejpam-4549	254	20	1	1	NUM
ejpam-4549	254	21	:	:	PUNCT
ejpam-4549	254	22	normalized	normalize	VERB
ejpam-4549	254	23	drag	drag	NOUN
ejpam-4549	254	24	force	force	NOUN
ejpam-4549	254	25	for	for	ADP
ejpam-4549	254	26	slip	slip	NOUN
ejpam-4549	254	27	and	and	CCONJ
ejpam-4549	254	28	spin	spin	VERB
ejpam-4549	254	29	slip	slip	NOUN
ejpam-4549	254	30	with	with	ADP
ejpam-4549	254	31	ζ	ζ	NOUN
ejpam-4549	254	32	′	′	NUM
ejpam-4549	254	33	=	=	NOUN
ejpam-4549	254	34	0.01	0.01	NUM
ejpam-4549	254	35	.	.	PUNCT
ejpam-4549	254	36	fz	fz	PROPN
ejpam-4549	254	37	/	/	SYM
ejpam-4549	254	38	f0	f0	PROPN
ejpam-4549	254	39	β1	β1	PROPN
ejpam-4549	254	40	aµ	aµ	PROPN
ejpam-4549	255	1	=	=	PRON
ejpam-4549	255	2	aβ2	aβ2	VERB
ejpam-4549	255	3	µ	µ	X
ejpam-4549	255	4	κ	κ	X
ejpam-4549	255	5	ζ	ζ	NOUN
ejpam-4549	255	6	=	=	SYM
ejpam-4549	255	7	0.1	0.1	NUM
ejpam-4549	255	8	ζ	ζ	NOUN
ejpam-4549	255	9	=	=	SYM
ejpam-4549	255	10	0.1	0.1	NUM
ejpam-4549	255	11	ζ	ζ	NOUN
ejpam-4549	255	12	=	=	SYM
ejpam-4549	255	13	6.0	6.0	NUM
ejpam-4549	255	14	ζ	ζ	NOUN
ejpam-4549	255	15	=	=	SYM
ejpam-4549	255	16	10.0	10.0	NUM
ejpam-4549	255	17	ζ	ζ	NOUN
ejpam-4549	255	18	→	→	SYM
ejpam-4549	255	19	∞	∞	NUM
ejpam-4549	255	20	0.0	0.0	NUM
ejpam-4549	255	21	0.0	0.0	NUM
ejpam-4549	255	22	1.962039	1.962039	NUM
ejpam-4549	255	23	1.000000	1.000000	NUM
ejpam-4549	255	24	0.736977	0.736977	NUM
ejpam-4549	255	25	0.709803	0.709803	NUM
ejpam-4549	255	26	0.635865	0.635865	NUM
ejpam-4549	255	27	0.2	0.2	NUM
ejpam-4549	255	28	4.444950	4.444950	NUM
ejpam-4549	255	29	2.980156	2.980156	NUM
ejpam-4549	255	30	1.826095	1.826095	NUM
ejpam-4549	255	31	1.765162	1.765162	NUM
ejpam-4549	255	32	1.646248	1.646248	NUM
ejpam-4549	255	33	4.0	4.0	NUM
ejpam-4549	255	34	5.799853	5.799853	NUM
ejpam-4549	255	35	4.888037	4.888037	NUM
ejpam-4549	255	36	3.538837	3.538837	NUM
ejpam-4549	255	37	3.348328	3.348328	NUM
ejpam-4549	255	38	3.208901	3.208901	NUM
ejpam-4549	255	39	6.0	6.0	NUM
ejpam-4549	255	40	8.037672	8.037672	NUM
ejpam-4549	255	41	7.369523	7.369523	NUM
ejpam-4549	255	42	6.134427	6.134427	NUM
ejpam-4549	255	43	5.787377	5.787377	NUM
ejpam-4549	255	44	5.558577	5.558577	NUM
ejpam-4549	255	45	8.0	8.0	NUM
ejpam-4549	255	46	11.162395	11.162395	NUM
ejpam-4549	255	47	10.626770	10.626770	NUM
ejpam-4549	255	48	9.523765	9.523765	NUM
ejpam-4549	255	49	9.147747	9.147747	NUM
ejpam-4549	255	50	8.750814	8.750814	NUM
ejpam-4549	255	51	10.0	10.0	NUM
ejpam-4549	255	52	15.174927	15.174927	NUM
ejpam-4549	255	53	14.720016	14.720016	NUM
ejpam-4549	255	54	13.735482	13.735482	NUM
ejpam-4549	255	55	13.353335	13.353335	NUM
ejpam-4549	255	56	12.806985	12.806985	NUM
ejpam-4549	255	57	1.0	1.0	NUM
ejpam-4549	255	58	0.0	0.0	NUM
ejpam-4549	255	59	2.913268	2.913268	NUM
ejpam-4549	255	60	1.199978	1.199978	NUM
ejpam-4549	255	61	0.84000	0.84000	NUM
ejpam-4549	255	62	0.804879	0.804879	NUM
ejpam-4549	255	63	0.715290	0.715290	NUM
ejpam-4549	255	64	2.0	2.0	NUM
ejpam-4549	255	65	6.439568	6.439568	NUM
ejpam-4549	255	66	3.954626	3.954626	NUM
ejpam-4549	255	67	2.238630	2.238630	NUM
ejpam-4549	255	68	2.137213	2.137213	NUM
ejpam-4549	255	69	1.946697	1.946697	NUM
ejpam-4549	255	70	4.0	4.0	NUM
ejpam-4549	255	71	7.806085	7.806085	NUM
ejpam-4549	255	72	6.226607	6.226607	NUM
ejpam-4549	255	73	4.176816	4.176816	NUM
ejpam-4549	255	74	3.904061	3.904061	NUM
ejpam-4549	255	75	3.656288	3.656288	NUM
ejpam-4549	255	76	6.0	6.0	NUM
ejpam-4549	255	77	10.052062	10.052062	NUM
ejpam-4549	255	78	8.890593	8.890593	NUM
ejpam-4549	255	79	6.973032	6.973032	NUM
ejpam-4549	255	80	6.481510	6.481510	NUM
ejpam-4549	255	81	6.104393	6.104393	NUM
ejpam-4549	255	82	8.0	8.0	NUM
ejpam-4549	255	83	13.183798	13.183798	NUM
ejpam-4549	255	84	12.255479	12.255479	NUM
ejpam-4549	255	85	10.521991	10.521991	NUM
ejpam-4549	255	86	9.976724	9.976724	NUM
ejpam-4549	255	87	9.366142	9.366142	NUM
ejpam-4549	255	88	10.0	10.0	NUM
ejpam-4549	255	89	17.202734	17.202734	NUM
ejpam-4549	255	90	16.419035	16.419035	NUM
ejpam-4549	255	91	14.860377	14.860377	NUM
ejpam-4549	255	92	14.297513	14.297513	NUM
ejpam-4549	255	93	13.473763	13.473763	NUM
ejpam-4549	255	94	10.0	10.0	NUM
ejpam-4549	255	95	0.0	0.0	NUM
ejpam-4549	255	96	10.723054	10.723054	NUM
ejpam-4549	255	97	1.714241	1.714241	NUM
ejpam-4549	255	98	1.063293	1.063293	NUM
ejpam-4549	255	99	1.007636	1.007636	NUM
ejpam-4549	255	100	0.880511	0.880511	NUM
ejpam-4549	255	101	2.0	2.0	NUM
ejpam-4549	255	102	24.330440	24.330440	NUM
ejpam-4549	255	103	8.748913	8.748913	NUM
ejpam-4549	255	104	3.697992	3.697992	NUM
ejpam-4549	255	105	3.379155	3.379155	NUM
ejpam-4549	255	106	2.850210	2.850210	NUM
ejpam-4549	255	107	4.0	4.0	NUM
ejpam-4549	255	108	25.826824	25.826824	NUM
ejpam-4549	255	109	14.363925	14.363925	NUM
ejpam-4549	255	110	7.041395	7.041395	NUM
ejpam-4549	255	111	6.316924	6.316924	NUM
ejpam-4549	255	112	5.319628	5.319628	NUM
ejpam-4549	255	113	6.0	6.0	NUM
ejpam-4549	255	114	28.157423	28.157423	NUM
ejpam-4549	255	115	19.195222	19.195222	NUM
ejpam-4549	255	116	11.255353	11.255353	NUM
ejpam-4549	255	117	9.956683	9.956683	NUM
ejpam-4549	255	118	8.440525	8.440525	NUM
ejpam-4549	255	119	8.0	8.0	NUM
ejpam-4549	255	120	31.358927	31.358927	NUM
ejpam-4549	255	121	24.030911	24.030911	NUM
ejpam-4549	255	122	16.123972	16.123972	NUM
ejpam-4549	255	123	14.486632	14.486632	NUM
ejpam-4549	255	124	12.280256	12.280256	NUM
ejpam-4549	255	125	10.0	10.0	NUM
ejpam-4549	255	126	35.440013	35.440013	NUM
ejpam-4549	255	127	29.241834	29.241834	NUM
ejpam-4549	255	128	21.640403	21.640403	NUM
ejpam-4549	255	129	19.783658	19.783658	NUM
ejpam-4549	255	130	16.882901	16.882901	NUM
ejpam-4549	255	131	∞	∞	NUM
ejpam-4549	255	132	0.0	0.0	NUM
ejpam-4549	255	133	50.690467	50.690467	NUM
ejpam-4549	255	134	1.961480	1.961480	NUM
ejpam-4549	255	135	1.153477	1.153477	NUM
ejpam-4549	255	136	1.088268	1.088268	NUM
ejpam-4549	255	137	0.944690	0.944690	NUM
ejpam-4549	255	138	2.0	2.0	NUM
ejpam-4549	255	139	195.779204	195.779204	NUM
ejpam-4549	255	140	14.324858	14.324858	NUM
ejpam-4549	255	141	4.721100	4.721100	NUM
ejpam-4549	255	142	4.186681	4.186681	NUM
ejpam-4549	255	143	3.367234	3.367234	NUM
ejpam-4549	255	144	4.0	4.0	NUM
ejpam-4549	255	145	200.897054	200.897054	NUM
ejpam-4549	255	146	29.018703	29.018703	NUM
ejpam-4549	255	147	9.890541	9.890541	NUM
ejpam-4549	255	148	8.590854	8.590854	NUM
ejpam-4549	255	149	6.566838	6.566838	NUM
ejpam-4549	255	150	6.0	6.0	NUM
ejpam-4549	255	151	205.118892	205.118892	NUM
ejpam-4549	255	152	43.957608	43.957608	NUM
ejpam-4549	255	153	16.588341	16.588341	NUM
ejpam-4549	255	154	14.128548	14.128548	NUM
ejpam-4549	255	155	10.593281	10.593281	NUM
ejpam-4549	255	156	8.0	8.0	NUM
ejpam-4549	255	157	209.642450	209.642450	NUM
ejpam-4549	255	158	58.890966	58.890966	NUM
ejpam-4549	255	159	24.546021	24.546021	NUM
ejpam-4549	255	160	20.842851	20.842851	NUM
ejpam-4549	255	161	15.449547	15.449547	NUM
ejpam-4549	255	162	10.0	10.0	NUM
ejpam-4549	255	163	214.770348	214.770348	NUM
ejpam-4549	255	164	73.744811	73.744811	NUM
ejpam-4549	255	165	33.603516	33.603516	NUM
ejpam-4549	255	166	28.680957	28.680957	NUM
ejpam-4549	255	167	21.138434	21.138434	NUM
ejpam-4549	255	168	table	table	NOUN
ejpam-4549	255	169	2	2	NUM
ejpam-4549	255	170	:	:	PUNCT
ejpam-4549	255	171	normalized	normalize	VERB
ejpam-4549	255	172	drag	drag	NOUN
ejpam-4549	255	173	force	force	NOUN
ejpam-4549	255	174	for	for	ADP
ejpam-4549	255	175	no	no	DET
ejpam-4549	255	176	-	-	PUNCT
ejpam-4549	255	177	slip	slip	NOUN
ejpam-4549	255	178	and	and	CCONJ
ejpam-4549	255	179	no	no	DET
ejpam-4549	255	180	-	-	PUNCT
ejpam-4549	255	181	spin	spin	NOUN
ejpam-4549	255	182	slip	slip	NOUN
ejpam-4549	255	183	with	with	ADP
ejpam-4549	255	184	ζ	ζ	NOUN
ejpam-4549	255	185	′	′	NUM
ejpam-4549	256	1	=	=	NOUN
ejpam-4549	256	2	0.01	0.01	NUM
ejpam-4549	256	3	.	.	PUNCT
ejpam-4549	257	1	fz	fz	PROPN
ejpam-4549	257	2	/	/	SYM
ejpam-4549	257	3	f0	f0	PROPN
ejpam-4549	257	4	κ	κ	NOUN
ejpam-4549	257	5	ζ	ζ	NOUN
ejpam-4549	257	6	=	=	SYM
ejpam-4549	257	7	0.1	0.1	NUM
ejpam-4549	257	8	ζ	ζ	NOUN
ejpam-4549	257	9	=	=	SYM
ejpam-4549	257	10	0.1	0.1	NUM
ejpam-4549	257	11	ζ	ζ	NOUN
ejpam-4549	257	12	=	=	SYM
ejpam-4549	257	13	6.0	6.0	NUM
ejpam-4549	257	14	ζ	ζ	NOUN
ejpam-4549	257	15	=	=	SYM
ejpam-4549	257	16	10.0	10.0	NUM
ejpam-4549	257	17	ζ	ζ	NOUN
ejpam-4549	257	18	→	→	SYM
ejpam-4549	257	19	∞	∞	NUM
ejpam-4549	257	20	0.0	0.0	NUM
ejpam-4549	257	21	11.0	11.0	NUM
ejpam-4549	257	22	2.0	2.0	NUM
ejpam-4549	257	23	1.17	1.17	NUM
ejpam-4549	257	24	1.11	1.11	NUM
ejpam-4549	257	25	1.00	1.00	NUM
ejpam-4549	257	26	0.2	0.2	NUM
ejpam-4549	257	27	216.47	216.47	NUM
ejpam-4549	257	28	15.69	15.69	NUM
ejpam-4549	257	29	4.90	4.90	NUM
ejpam-4549	257	30	4.33	4.33	NUM
ejpam-4549	257	31	3.45	3.45	NUM
ejpam-4549	257	32	4.0	4.0	NUM
ejpam-4549	257	33	374.044	374.044	NUM
ejpam-4549	257	34	34.031	34.031	NUM
ejpam-4549	257	35	10.475	10.475	NUM
ejpam-4549	257	36	9.078	9.078	NUM
ejpam-4549	257	37	6.803	6.803	NUM
ejpam-4549	257	38	6.0	6.0	NUM
ejpam-4549	257	39	526.757	526.757	NUM
ejpam-4549	257	40	55.061	55.061	NUM
ejpam-4549	257	41	17.9566	17.9566	NUM
ejpam-4549	257	42	15	15	NUM
ejpam-4549	257	43	,	,	PUNCT
ejpam-4549	257	44	172	172	NUM
ejpam-4549	257	45	11.049	11.049	NUM
ejpam-4549	257	46	8.0	8.0	NUM
ejpam-4549	257	47	679.436	679.436	NUM
ejpam-4549	257	48	78.512	78.512	NUM
ejpam-4549	257	49	27.0281	27.0281	NUM
ejpam-4549	257	50	22.626	22.626	NUM
ejpam-4549	257	51	16.192	16.192	NUM
ejpam-4549	257	52	10.0	10.0	NUM
ejpam-4549	257	53	833.66443	833.66443	NUM
ejpam-4549	257	54	104.23	104.23	NUM
ejpam-4549	257	55	37.6196	37.6196	NUM
ejpam-4549	257	56	31.4652	31.4652	NUM
ejpam-4549	257	57	22.2316	22.2316	NUM
ejpam-4549	257	58	100.0	100.0	NUM
ejpam-4549	257	59	11841.04	11841.04	NUM
ejpam-4549	257	60	34461.03	34461.03	NUM
ejpam-4549	257	61	20884.00	20884.00	NUM
ejpam-4549	257	62	19090.00	19090.00	NUM
ejpam-4549	257	63	14672.00	14672.00	NUM
ejpam-4549	257	64	references	reference	NOUN
ejpam-4549	257	65	1579	1579	NUM
ejpam-4549	257	66	table	table	NOUN
ejpam-4549	257	67	3	3	NUM
ejpam-4549	257	68	:	:	PUNCT
ejpam-4549	257	69	normalized	normalize	VERB
ejpam-4549	257	70	drag	drag	NOUN
ejpam-4549	257	71	force	force	NOUN
ejpam-4549	257	72	for	for	ADP
ejpam-4549	257	73	perfect	perfect	ADJ
ejpam-4549	257	74	slip	slip	NOUN
ejpam-4549	257	75	and	and	CCONJ
ejpam-4549	257	76	perfect	perfect	ADJ
ejpam-4549	257	77	spin	spin	NOUN
ejpam-4549	257	78	slip	slip	NOUN
ejpam-4549	257	79	with	with	ADP
ejpam-4549	257	80	ζ	ζ	NOUN
ejpam-4549	257	81	′	′	NUM
ejpam-4549	258	1	=	=	NOUN
ejpam-4549	258	2	0.01	0.01	NUM
ejpam-4549	258	3	.	.	PUNCT
ejpam-4549	259	1	fz	fz	PROPN
ejpam-4549	259	2	/	/	SYM
ejpam-4549	259	3	f0	f0	PROPN
ejpam-4549	259	4	κ	κ	NOUN
ejpam-4549	259	5	ζ	ζ	NOUN
ejpam-4549	259	6	=	=	SYM
ejpam-4549	259	7	0.1	0.1	NUM
ejpam-4549	259	8	ζ	ζ	NOUN
ejpam-4549	259	9	=	=	SYM
ejpam-4549	259	10	0.1	0.1	NUM
ejpam-4549	259	11	ζ	ζ	NOUN
ejpam-4549	259	12	=	=	SYM
ejpam-4549	259	13	6.0	6.0	NUM
ejpam-4549	259	14	ζ	ζ	NOUN
ejpam-4549	259	15	=	=	SYM
ejpam-4549	259	16	10.0	10.0	NUM
ejpam-4549	259	17	ζ	ζ	NOUN
ejpam-4549	259	18	→	→	SYM
ejpam-4549	259	19	∞	∞	NUM
ejpam-4549	259	20	0.0	0.0	NUM
ejpam-4549	259	21	31.00	31.00	NUM
ejpam-4549	259	22	18.85	18.85	NUM
ejpam-4549	259	23	13.89	13.89	NUM
ejpam-4549	259	24	13.38	13.38	NUM
ejpam-4549	259	25	11.98	11.98	NUM
ejpam-4549	259	26	0.2	0.2	NUM
ejpam-4549	259	27	80.121	80.121	NUM
ejpam-4549	259	28	56.155	56.155	NUM
ejpam-4549	259	29	34.412	34.412	NUM
ejpam-4549	259	30	33.26	33.26	NUM
ejpam-4549	259	31	31.024	31.024	NUM
ejpam-4549	259	32	4.0	4.0	NUM
ejpam-4549	259	33	107.00	107.00	NUM
ejpam-4549	259	34	92.110	92.110	NUM
ejpam-4549	259	35	66.692	66.692	NUM
ejpam-4549	259	36	63.103	63.103	NUM
ejpam-4549	259	37	60.476	60.476	NUM
ejpam-4549	259	38	6.0	6.0	NUM
ejpam-4549	259	39	149.556	149.556	NUM
ejpam-4549	259	40	138.882	138.882	NUM
ejpam-4549	259	41	115.614	115.614	NUM
ejpam-4549	259	42	109.075	109.075	NUM
ejpam-4549	259	43	104.765	104.765	NUM
ejpam-4549	259	44	8.0	8.0	NUM
ejpam-4549	259	45	208.563	208.563	NUM
ejpam-4549	259	46	200.278	200.278	NUM
ejpam-4549	259	47	179.498	179.498	NUM
ejpam-4549	259	48	172.414	172.414	NUM
ejpam-4549	259	49	164.936	164.936	NUM
ejpam-4549	259	50	10.0	10.0	NUM
ejpam-4549	259	51	284.198	284.198	NUM
ejpam-4549	259	52	277.433	277.433	NUM
ejpam-4549	259	53	258.000	258.000	NUM
ejpam-4549	259	54	251.6856	251.6856	NUM
ejpam-4549	259	55	241.392	241.392	NUM
ejpam-4549	259	56	100.0	100.0	NUM
ejpam-4549	259	57	21020.3	21020.3	NUM
ejpam-4549	259	58	21018.7	21018.7	NUM
ejpam-4549	259	59	21016.0	21016.0	NUM
ejpam-4549	259	60	21014.1	21014.1	NUM
ejpam-4549	259	61	20980.9	20980.9	NUM
ejpam-4549	259	62	10	10	NUM
ejpam-4549	259	63	.	.	PUNCT
ejpam-4549	260	1	conclusion	conclusion	NOUN
ejpam-4549	260	2	the	the	DET
ejpam-4549	260	3	present	present	ADJ
ejpam-4549	260	4	work	work	NOUN
ejpam-4549	260	5	investigated	investigate	VERB
ejpam-4549	260	6	the	the	DET
ejpam-4549	260	7	basic	basic	ADJ
ejpam-4549	260	8	relations	relation	NOUN
ejpam-4549	260	9	of	of	ADP
ejpam-4549	260	10	stresses	stress	NOUN
ejpam-4549	260	11	and	and	CCONJ
ejpam-4549	260	12	couple	couple	NOUN
ejpam-4549	260	13	stresses	stress	NOUN
ejpam-4549	260	14	also	also	ADV
ejpam-4549	260	15	the	the	DET
ejpam-4549	260	16	solution	solution	NOUN
ejpam-4549	260	17	of	of	ADP
ejpam-4549	260	18	the	the	DET
ejpam-4549	260	19	problem	problem	NOUN
ejpam-4549	260	20	for	for	ADP
ejpam-4549	260	21	movements	movement	NOUN
ejpam-4549	260	22	of	of	ADP
ejpam-4549	260	23	a	a	DET
ejpam-4549	260	24	rigid	rigid	ADJ
ejpam-4549	260	25	sphere	sphere	NOUN
ejpam-4549	260	26	with	with	ADP
ejpam-4549	260	27	a	a	DET
ejpam-4549	260	28	constant	constant	ADJ
ejpam-4549	260	29	velocity	velocity	NOUN
ejpam-4549	260	30	embedded	embed	VERB
ejpam-4549	260	31	through	through	ADP
ejpam-4549	260	32	an	an	DET
ejpam-4549	260	33	incompressible	incompressible	ADJ
ejpam-4549	260	34	porous	porous	ADJ
ejpam-4549	260	35	medium	medium	NOUN
ejpam-4549	260	36	saturated	saturate	VERB
ejpam-4549	260	37	with	with	ADP
ejpam-4549	260	38	the	the	DET
ejpam-4549	260	39	couple	couple	NOUN
ejpam-4549	260	40	stress	stress	NOUN
ejpam-4549	260	41	fluid	fluid	NOUN
ejpam-4549	260	42	under	under	ADP
ejpam-4549	260	43	the	the	DET
ejpam-4549	260	44	effects	effect	NOUN
ejpam-4549	260	45	of	of	ADP
ejpam-4549	260	46	slip	slip	NOUN
ejpam-4549	260	47	and	and	CCONJ
ejpam-4549	260	48	spin	spin	VERB
ejpam-4549	260	49	slip	slip	NOUN
ejpam-4549	260	50	by	by	ADP
ejpam-4549	260	51	using	use	VERB
ejpam-4549	260	52	an	an	DET
ejpam-4549	260	53	analytical	analytical	ADJ
ejpam-4549	260	54	procedure	procedure	NOUN
ejpam-4549	260	55	.	.	PUNCT
ejpam-4549	261	1	the	the	DET
ejpam-4549	261	2	normalized	normalize	VERB
ejpam-4549	261	3	drag	drag	NOUN
ejpam-4549	261	4	force	force	NOUN
ejpam-4549	261	5	represents	represent	VERB
ejpam-4549	261	6	numerically	numerically	ADV
ejpam-4549	261	7	and	and	CCONJ
ejpam-4549	261	8	graphically	graphically	ADV
ejpam-4549	261	9	.	.	PUNCT
ejpam-4549	262	1	on	on	ADP
ejpam-4549	262	2	the	the	DET
ejpam-4549	262	3	other	other	ADJ
ejpam-4549	262	4	side	side	NOUN
ejpam-4549	262	5	,	,	PUNCT
ejpam-4549	262	6	the	the	DET
ejpam-4549	262	7	velocity	velocity	NOUN
ejpam-4549	262	8	distributions	distribution	NOUN
ejpam-4549	262	9	are	be	AUX
ejpam-4549	262	10	represented	represent	VERB
ejpam-4549	262	11	graphically	graphically	ADV
ejpam-4549	262	12	.	.	PUNCT
ejpam-4549	263	1	it	it	PRON
ejpam-4549	263	2	is	be	AUX
ejpam-4549	263	3	noticed	notice	VERB
ejpam-4549	263	4	that	that	SCONJ
ejpam-4549	263	5	the	the	DET
ejpam-4549	263	6	normalized	normalize	VERB
ejpam-4549	263	7	drag	drag	NOUN
ejpam-4549	263	8	force	force	NOUN
ejpam-4549	263	9	increases	increase	NOUN
ejpam-4549	263	10	with	with	ADP
ejpam-4549	263	11	the	the	DET
ejpam-4549	263	12	effects	effect	NOUN
ejpam-4549	263	13	of	of	ADP
ejpam-4549	263	14	the	the	DET
ejpam-4549	263	15	slip	slip	NOUN
ejpam-4549	263	16	and	and	CCONJ
ejpam-4549	263	17	spin	spin	VERB
ejpam-4549	263	18	slip	slip	VERB
ejpam-4549	263	19	and	and	CCONJ
ejpam-4549	263	20	improves	improve	VERB
ejpam-4549	263	21	with	with	ADP
ejpam-4549	263	22	the	the	DET
ejpam-4549	263	23	increase	increase	NOUN
ejpam-4549	263	24	of	of	ADP
ejpam-4549	263	25	the	the	DET
ejpam-4549	263	26	permeability	permeability	NOUN
ejpam-4549	263	27	parameter	parameter	NOUN
ejpam-4549	263	28	at	at	ADP
ejpam-4549	263	29	constant	constant	ADJ
ejpam-4549	263	30	values	value	NOUN
ejpam-4549	263	31	of	of	ADP
ejpam-4549	263	32	the	the	DET
ejpam-4549	263	33	remaining	remain	VERB
ejpam-4549	263	34	parameters	parameter	NOUN
ejpam-4549	263	35	.	.	PUNCT
ejpam-4549	264	1	in	in	ADP
ejpam-4549	264	2	addition	addition	NOUN
ejpam-4549	264	3	,	,	PUNCT
ejpam-4549	264	4	there	there	PRON
ejpam-4549	264	5	are	be	VERB
ejpam-4549	264	6	improvements	improvement	NOUN
ejpam-4549	264	7	of	of	ADP
ejpam-4549	264	8	the	the	DET
ejpam-4549	264	9	streamline	streamline	NOUN
ejpam-4549	264	10	’s	’s	PART
ejpam-4549	264	11	distributions	distribution	NOUN
ejpam-4549	264	12	for	for	ADP
ejpam-4549	264	13	the	the	DET
ejpam-4549	264	14	relevant	relevant	ADJ
ejpam-4549	264	15	parameters	parameter	NOUN
ejpam-4549	264	16	of	of	ADP
ejpam-4549	264	17	the	the	DET
ejpam-4549	264	18	permeability	permeability	NOUN
ejpam-4549	264	19	and	and	CCONJ
ejpam-4549	264	20	the	the	DET
ejpam-4549	264	21	couple	couple	NOUN
ejpam-4549	264	22	stress	stress	NOUN
ejpam-4549	264	23	parameters	parameter	NOUN
ejpam-4549	264	24	.	.	PUNCT
ejpam-4549	265	1	references	reference	NOUN
ejpam-4549	265	2	[	[	X
ejpam-4549	265	3	1	1	NUM
ejpam-4549	265	4	]	]	PUNCT
ejpam-4549	265	5	v	v	X
ejpam-4549	265	6	k	k	PROPN
ejpam-4549	265	7	stokes	stokes	PROPN
ejpam-4549	265	8	.	.	PUNCT
ejpam-4549	266	1	effects	effect	NOUN
ejpam-4549	266	2	of	of	ADP
ejpam-4549	266	3	couple	couple	NOUN
ejpam-4549	266	4	stresses	stress	NOUN
ejpam-4549	266	5	in	in	ADP
ejpam-4549	266	6	fluids	fluid	NOUN
ejpam-4549	266	7	on	on	ADP
ejpam-4549	266	8	hydromagnetic	hydromagnetic	ADJ
ejpam-4549	266	9	channel	channel	NOUN
ejpam-4549	266	10	flows	flow	NOUN
ejpam-4549	266	11	.	.	PUNCT
ejpam-4549	267	1	the	the	DET
ejpam-4549	267	2	physics	physics	PROPN
ejpam-4549	267	3	of	of	ADP
ejpam-4549	267	4	fluids	fluid	NOUN
ejpam-4549	267	5	,	,	PUNCT
ejpam-4549	267	6	9:1709–1715	9:1709–1715	NUM
ejpam-4549	267	7	,	,	PUNCT
ejpam-4549	267	8	1966	1966	NUM
ejpam-4549	267	9	.	.	PUNCT
ejpam-4549	268	1	[	[	X
ejpam-4549	268	2	2	2	NUM
ejpam-4549	268	3	]	]	PUNCT
ejpam-4549	268	4	v	v	X
ejpam-4549	268	5	k	k	PROPN
ejpam-4549	268	6	stokes	stokes	PROPN
ejpam-4549	268	7	.	.	PUNCT
ejpam-4549	269	1	couple	couple	NOUN
ejpam-4549	269	2	stresses	stress	NOUN
ejpam-4549	269	3	in	in	ADP
ejpam-4549	269	4	fluids	fluid	NOUN
ejpam-4549	269	5	.	.	PUNCT
ejpam-4549	270	1	theories	theory	NOUN
ejpam-4549	270	2	of	of	ADP
ejpam-4549	270	3	fluids	fluid	NOUN
ejpam-4549	270	4	with	with	ADP
ejpam-4549	270	5	microstructure	microstructure	ADJ
ejpam-4549	270	6	,	,	PUNCT
ejpam-4549	270	7	springer	springer	NOUN
ejpam-4549	270	8	,	,	PUNCT
ejpam-4549	270	9	pages	page	NOUN
ejpam-4549	270	10	34–80	34–80	PROPN
ejpam-4549	270	11	,	,	PUNCT
ejpam-4549	270	12	1984	1984	NUM
ejpam-4549	270	13	.	.	PUNCT
ejpam-4549	271	1	[	[	X
ejpam-4549	271	2	3	3	X
ejpam-4549	271	3	]	]	X
ejpam-4549	271	4	a	a	DET
ejpam-4549	271	5	a	a	DET
ejpam-4549	271	6	elsharkawy	elsharkawy	NOUN
ejpam-4549	271	7	and	and	CCONJ
ejpam-4549	271	8	l	l	NOUN
ejpam-4549	271	9	h	h	NOUN
ejpam-4549	271	10	guedouar	guedouar	VERB
ejpam-4549	271	11	.	.	PUNCT
ejpam-4549	272	1	an	an	DET
ejpam-4549	272	2	inverse	inverse	NOUN
ejpam-4549	272	3	solution	solution	NOUN
ejpam-4549	272	4	for	for	ADP
ejpam-4549	272	5	finite	finite	ADJ
ejpam-4549	272	6	journal	journal	PROPN
ejpam-4549	272	7	bearings	bearing	NOUN
ejpam-4549	272	8	lubricated	lubricate	VERB
ejpam-4549	272	9	with	with	ADP
ejpam-4549	272	10	couple	couple	NOUN
ejpam-4549	272	11	stress	stress	NOUN
ejpam-4549	272	12	fluids	fluid	NOUN
ejpam-4549	272	13	.	.	PUNCT
ejpam-4549	273	1	tribology	tribology	PROPN
ejpam-4549	273	2	international	international	PROPN
ejpam-4549	273	3	,	,	PUNCT
ejpam-4549	273	4	34:107–118	34:107–118	NUM
ejpam-4549	273	5	,	,	PUNCT
ejpam-4549	273	6	2001	2001	NUM
ejpam-4549	273	7	.	.	PUNCT
ejpam-4549	274	1	[	[	X
ejpam-4549	274	2	4	4	X
ejpam-4549	274	3	]	]	X
ejpam-4549	274	4	n	n	PRON
ejpam-4549	274	5	s	s	AUX
ejpam-4549	274	6	alsudais	alsudais	PROPN
ejpam-4549	274	7	,	,	PUNCT
ejpam-4549	274	8	s	s	PART
ejpam-4549	274	9	el	el	PROPN
ejpam-4549	274	10	-	-	PUNCT
ejpam-4549	274	11	sapa	sapa	NOUN
ejpam-4549	274	12	,	,	PUNCT
ejpam-4549	274	13	and	and	CCONJ
ejpam-4549	274	14	e	e	PROPN
ejpam-4549	274	15	ashmawy	ashmawy	PROPN
ejpam-4549	274	16	.	.	PUNCT
ejpam-4549	275	1	stokes	stoke	NOUN
ejpam-4549	275	2	flow	flow	NOUN
ejpam-4549	275	3	of	of	ADP
ejpam-4549	275	4	an	an	DET
ejpam-4549	275	5	incompressible	incompressible	ADJ
ejpam-4549	275	6	couple	couple	NOUN
ejpam-4549	275	7	stress	stress	NOUN
ejpam-4549	275	8	fluid	fluid	NOUN
ejpam-4549	275	9	confined	confine	VERB
ejpam-4549	275	10	between	between	ADP
ejpam-4549	275	11	two	two	NUM
ejpam-4549	275	12	eccentric	eccentric	ADJ
ejpam-4549	275	13	spheres	sphere	NOUN
ejpam-4549	275	14	.	.	PUNCT
ejpam-4549	276	1	european	european	PROPN
ejpam-4549	276	2	journal	journal	PROPN
ejpam-4549	276	3	of	of	ADP
ejpam-4549	276	4	mechanicsb	mechanicsb	NOUN
ejpam-4549	276	5	/	/	SYM
ejpam-4549	276	6	fluids	fluid	NOUN
ejpam-4549	276	7	,	,	PUNCT
ejpam-4549	276	8	91:244–252	91:244–252	NUM
ejpam-4549	276	9	,	,	PUNCT
ejpam-4549	276	10	2022	2022	NUM
ejpam-4549	276	11	.	.	PUNCT
ejpam-4549	277	1	[	[	X
ejpam-4549	277	2	5	5	NUM
ejpam-4549	277	3	]	]	PUNCT
ejpam-4549	277	4	e	e	X
ejpam-4549	277	5	a	a	DET
ejpam-4549	277	6	ashmawy	ashmawy	PROPN
ejpam-4549	277	7	.	.	PUNCT
ejpam-4549	278	1	wall	wall	NOUN
ejpam-4549	278	2	effects	effect	NOUN
ejpam-4549	278	3	on	on	ADP
ejpam-4549	278	4	a	a	DET
ejpam-4549	278	5	rigid	rigid	ADJ
ejpam-4549	278	6	sphere	sphere	NOUN
ejpam-4549	278	7	moving	move	VERB
ejpam-4549	278	8	perpendicular	perpendicular	ADJ
ejpam-4549	278	9	to	to	ADP
ejpam-4549	278	10	a	a	DET
ejpam-4549	278	11	plane	plane	NOUN
ejpam-4549	278	12	wall	wall	NOUN
ejpam-4549	278	13	in	in	ADP
ejpam-4549	278	14	a	a	DET
ejpam-4549	278	15	couple	couple	NOUN
ejpam-4549	278	16	stress	stress	NOUN
ejpam-4549	278	17	fluid	fluid	NOUN
ejpam-4549	278	18	filling	fill	VERB
ejpam-4549	278	19	a	a	DET
ejpam-4549	278	20	half	half	ADJ
ejpam-4549	278	21	-	-	PUNCT
ejpam-4549	278	22	space	space	NOUN
ejpam-4549	278	23	.	.	PUNCT
ejpam-4549	279	1	european	european	ADJ
ejpam-4549	279	2	journal	journal	PROPN
ejpam-4549	279	3	of	of	ADP
ejpam-4549	279	4	mechanics	mechanics	PROPN
ejpam-4549	279	5	b	b	PROPN
ejpam-4549	279	6	/	/	SYM
ejpam-4549	279	7	fluids	fluid	NOUN
ejpam-4549	279	8	,	,	PUNCT
ejpam-4549	279	9	74:380–388	74:380–388	NUM
ejpam-4549	279	10	,	,	PUNCT
ejpam-4549	279	11	2019	2019	NUM
ejpam-4549	279	12	.	.	PUNCT
ejpam-4549	280	1	references	reference	NOUN
ejpam-4549	280	2	1580	1580	NUM
ejpam-4549	280	3	[	[	X
ejpam-4549	280	4	6	6	NUM
ejpam-4549	280	5	]	]	PUNCT
ejpam-4549	280	6	e	e	NOUN
ejpam-4549	280	7	i	i	PRON
ejpam-4549	280	8	saad	saad	PROPN
ejpam-4549	280	9	s	s	PROPN
ejpam-4549	280	10	el	el	PROPN
ejpam-4549	280	11	-	-	PUNCT
ejpam-4549	280	12	sapa	sapa	PROPN
ejpam-4549	280	13	and	and	CCONJ
ejpam-4549	280	14	m	m	NOUN
ejpam-4549	280	15	s	s	NOUN
ejpam-4549	280	16	faltas	falta	NOUN
ejpam-4549	280	17	.	.	PUNCT
ejpam-4549	281	1	axisymmetric	axisymmetric	ADJ
ejpam-4549	281	2	motion	motion	NOUN
ejpam-4549	281	3	of	of	ADP
ejpam-4549	281	4	two	two	NUM
ejpam-4549	281	5	spherical	spherical	ADJ
ejpam-4549	281	6	particles	particle	NOUN
ejpam-4549	281	7	in	in	ADP
ejpam-4549	281	8	a	a	DET
ejpam-4549	281	9	brinkman	brinkman	NOUN
ejpam-4549	281	10	medium	medium	NOUN
ejpam-4549	281	11	with	with	ADP
ejpam-4549	281	12	slip	slip	NOUN
ejpam-4549	281	13	surfaces	surface	NOUN
ejpam-4549	281	14	.	.	PUNCT
ejpam-4549	282	1	european	european	ADJ
ejpam-4549	282	2	journal	journal	PROPN
ejpam-4549	282	3	of	of	ADP
ejpam-4549	282	4	mechanics	mechanics	PROPN
ejpam-4549	282	5	b	b	PROPN
ejpam-4549	282	6	/	/	SYM
ejpam-4549	282	7	fluids	fluid	NOUN
ejpam-4549	282	8	,	,	PUNCT
ejpam-4549	282	9	67:306–313	67:306–313	PROPN
ejpam-4549	282	10	,	,	PUNCT
ejpam-4549	282	11	2018	2018	NUM
ejpam-4549	282	12	.	.	PUNCT
ejpam-4549	283	1	[	[	X
ejpam-4549	283	2	7	7	X
ejpam-4549	283	3	]	]	X
ejpam-4549	283	4	h	h	NOUN
ejpam-4549	283	5	h	h	PROPN
ejpam-4549	283	6	sherief	sherief	NOUN
ejpam-4549	283	7	,	,	PUNCT
ejpam-4549	283	8	m	m	PROPN
ejpam-4549	283	9	s	s	NOUN
ejpam-4549	283	10	fatlas	fatla	NOUN
ejpam-4549	283	11	,	,	PUNCT
ejpam-4549	283	12	and	and	CCONJ
ejpam-4549	283	13	s	s	VERB
ejpam-4549	283	14	el	el	PROPN
ejpam-4549	283	15	-	-	PUNCT
ejpam-4549	283	16	sapa	sapa	NOUN
ejpam-4549	283	17	.	.	PUNCT
ejpam-4549	284	1	interaction	interaction	NOUN
ejpam-4549	284	2	between	between	ADP
ejpam-4549	284	3	two	two	NUM
ejpam-4549	284	4	rigid	rigid	ADJ
ejpam-4549	284	5	spheres	sphere	NOUN
ejpam-4549	284	6	moving	move	VERB
ejpam-4549	284	7	in	in	ADP
ejpam-4549	284	8	a	a	DET
ejpam-4549	284	9	micropolar	micropolar	ADJ
ejpam-4549	284	10	fluid	fluid	NOUN
ejpam-4549	284	11	with	with	ADP
ejpam-4549	284	12	slip	slip	NOUN
ejpam-4549	284	13	surfaces	surface	NOUN
ejpam-4549	284	14	.	.	PUNCT
ejpam-4549	285	1	journal	journal	NOUN
ejpam-4549	285	2	of	of	ADP
ejpam-4549	285	3	molecular	molecular	ADJ
ejpam-4549	285	4	liquids	liquid	NOUN
ejpam-4549	285	5	,	,	PUNCT
ejpam-4549	285	6	290:111165	290:111165	NUM
ejpam-4549	285	7	,	,	PUNCT
ejpam-4549	285	8	2019	2019	NUM
ejpam-4549	285	9	.	.	PUNCT
ejpam-4549	286	1	[	[	X
ejpam-4549	286	2	8	8	NUM
ejpam-4549	286	3	]	]	PUNCT
ejpam-4549	286	4	h	h	NOUN
ejpam-4549	286	5	h	h	PROPN
ejpam-4549	286	6	sherief	sherief	NOUN
ejpam-4549	286	7	,	,	PUNCT
ejpam-4549	286	8	m	m	PROPN
ejpam-4549	286	9	s	s	NOUN
ejpam-4549	286	10	faltas	falta	NOUN
ejpam-4549	286	11	,	,	PUNCT
ejpam-4549	286	12	and	and	CCONJ
ejpam-4549	286	13	s	s	VERB
ejpam-4549	286	14	el	el	PROPN
ejpam-4549	286	15	-	-	PUNCT
ejpam-4549	286	16	sapa	sapa	NOUN
ejpam-4549	286	17	.	.	PUNCT
ejpam-4549	287	1	axisymmetric	axisymmetric	ADJ
ejpam-4549	287	2	creeping	creep	VERB
ejpam-4549	287	3	motion	motion	NOUN
ejpam-4549	287	4	caused	cause	VERB
ejpam-4549	287	5	by	by	ADP
ejpam-4549	287	6	a	a	DET
ejpam-4549	287	7	spherical	spherical	ADJ
ejpam-4549	287	8	particle	particle	NOUN
ejpam-4549	287	9	in	in	ADP
ejpam-4549	287	10	a	a	DET
ejpam-4549	287	11	micropolar	micropolar	ADJ
ejpam-4549	287	12	fluid	fluid	NOUN
ejpam-4549	287	13	within	within	ADP
ejpam-4549	287	14	a	a	DET
ejpam-4549	287	15	nonconcentric	nonconcentric	ADJ
ejpam-4549	287	16	spherical	spherical	ADJ
ejpam-4549	287	17	cavity	cavity	NOUN
ejpam-4549	287	18	.	.	PUNCT
ejpam-4549	288	1	european	european	ADJ
ejpam-4549	288	2	journal	journal	PROPN
ejpam-4549	288	3	of	of	ADP
ejpam-4549	288	4	mechanics	mechanics	PROPN
ejpam-4549	288	5	b	b	PROPN
ejpam-4549	288	6	/	/	SYM
ejpam-4549	288	7	fluids	fluid	NOUN
ejpam-4549	288	8	,	,	PUNCT
ejpam-4549	288	9	77:211–220	77:211–220	PROPN
ejpam-4549	288	10	,	,	PUNCT
ejpam-4549	288	11	2019	2019	NUM
ejpam-4549	288	12	.	.	PUNCT
ejpam-4549	289	1	[	[	X
ejpam-4549	289	2	9	9	NUM
ejpam-4549	289	3	]	]	SYM
ejpam-4549	289	4	s	s	PART
ejpam-4549	289	5	el	el	PROPN
ejpam-4549	289	6	-	-	PUNCT
ejpam-4549	289	7	sapa	sapa	PROPN
ejpam-4549	289	8	and	and	CCONJ
ejpam-4549	289	9	m	m	NOUN
ejpam-4549	289	10	s	s	NOUN
ejpam-4549	289	11	faltas	falta	NOUN
ejpam-4549	289	12	.	.	PUNCT
ejpam-4549	290	1	mobilities	mobility	NOUN
ejpam-4549	290	2	of	of	ADP
ejpam-4549	290	3	two	two	NUM
ejpam-4549	290	4	spherical	spherical	ADJ
ejpam-4549	290	5	particles	particle	NOUN
ejpam-4549	290	6	immersed	immerse	VERB
ejpam-4549	290	7	in	in	ADP
ejpam-4549	290	8	a	a	DET
ejpam-4549	290	9	magnetomicropolar	magnetomicropolar	ADJ
ejpam-4549	290	10	fluid	fluid	NOUN
ejpam-4549	290	11	.	.	PUNCT
ejpam-4549	291	1	physics	physics	PROPN
ejpam-4549	291	2	of	of	ADP
ejpam-4549	291	3	fluids	fluid	NOUN
ejpam-4549	291	4	,	,	PUNCT
ejpam-4549	291	5	34:013104	34:013104	NOUN
ejpam-4549	291	6	,	,	PUNCT
ejpam-4549	291	7	2022	2022	NUM
ejpam-4549	291	8	.	.	PUNCT
ejpam-4549	292	1	[	[	X
ejpam-4549	292	2	10	10	NUM
ejpam-4549	292	3	]	]	X
ejpam-4549	292	4	p	p	X
ejpam-4549	292	5	aparna	aparna	PROPN
ejpam-4549	292	6	,	,	PUNCT
ejpam-4549	292	7	p	p	NOUN
ejpam-4549	292	8	padmaja	padmaja	NOUN
ejpam-4549	292	9	,	,	PUNCT
ejpam-4549	292	10	n	n	PRON
ejpam-4549	292	11	pothanna	pothanna	NOUN
ejpam-4549	292	12	,	,	PUNCT
ejpam-4549	292	13	and	and	CCONJ
ejpam-4549	292	14	j	j	PROPN
ejpam-4549	292	15	r	r	NOUN
ejpam-4549	292	16	murthy	murthy	PROPN
ejpam-4549	292	17	.	.	PUNCT
ejpam-4549	293	1	couple	couple	NOUN
ejpam-4549	293	2	stress	stress	NOUN
ejpam-4549	293	3	fluid	fluid	NOUN
ejpam-4549	293	4	flow	flow	NOUN
ejpam-4549	293	5	due	due	ADP
ejpam-4549	293	6	to	to	PART
ejpam-4549	293	7	slow	slow	VERB
ejpam-4549	293	8	steady	steady	ADJ
ejpam-4549	293	9	oscillations	oscillation	NOUN
ejpam-4549	293	10	of	of	ADP
ejpam-4549	293	11	a	a	DET
ejpam-4549	293	12	permeable	permeable	ADJ
ejpam-4549	293	13	sphere	sphere	NOUN
ejpam-4549	293	14	.	.	PUNCT
ejpam-4549	294	1	nonlinear	nonlinear	ADJ
ejpam-4549	294	2	engineering	engineering	NOUN
ejpam-4549	294	3	,	,	PUNCT
ejpam-4549	294	4	9:352–360	9:352–360	NUM
ejpam-4549	294	5	,	,	PUNCT
ejpam-4549	294	6	2020	2020	NUM
ejpam-4549	294	7	.	.	PUNCT
ejpam-4549	295	1	[	[	X
ejpam-4549	295	2	11	11	NUM
ejpam-4549	295	3	]	]	X
ejpam-4549	295	4	m	m	VERB
ejpam-4549	295	5	s	s	NOUN
ejpam-4549	295	6	faltas	falta	NOUN
ejpam-4549	295	7	and	and	CCONJ
ejpam-4549	295	8	s	s	NOUN
ejpam-4549	295	9	el	el	PROPN
ejpam-4549	295	10	-	-	PUNCT
ejpam-4549	295	11	sapa	sapa	NOUN
ejpam-4549	295	12	.	.	PUNCT
ejpam-4549	296	1	rectilinear	rectilinear	ADJ
ejpam-4549	296	2	oscillations	oscillation	NOUN
ejpam-4549	296	3	of	of	ADP
ejpam-4549	296	4	two	two	NUM
ejpam-4549	296	5	spherical	spherical	ADJ
ejpam-4549	296	6	particles	particle	NOUN
ejpam-4549	296	7	embedded	embed	VERB
ejpam-4549	296	8	in	in	ADP
ejpam-4549	296	9	an	an	DET
ejpam-4549	296	10	unbounded	unbounded	ADJ
ejpam-4549	296	11	viscous	viscous	ADJ
ejpam-4549	296	12	fluid	fluid	NOUN
ejpam-4549	296	13	.	.	PUNCT
ejpam-4549	297	1	microsystem	microsystem	NOUN
ejpam-4549	297	2	technologies	technology	NOUN
ejpam-4549	297	3	,	,	PUNCT
ejpam-4549	297	4	25:39–49	25:39–49	NUM
ejpam-4549	297	5	,	,	PUNCT
ejpam-4549	297	6	2019	2019	NUM
ejpam-4549	297	7	.	.	PUNCT
ejpam-4549	298	1	[	[	X
ejpam-4549	298	2	12	12	NUM
ejpam-4549	298	3	]	]	X
ejpam-4549	298	4	h	h	PROPN
ejpam-4549	298	5	s	s	VERB
ejpam-4549	298	6	saad	saad	PROPN
ejpam-4549	298	7	.	.	PUNCT
ejpam-4549	299	1	boundary	boundary	ADJ
ejpam-4549	299	2	value	value	NOUN
ejpam-4549	299	3	problems	problem	NOUN
ejpam-4549	299	4	of	of	ADP
ejpam-4549	299	5	couple	couple	NOUN
ejpam-4549	299	6	stress	stress	NOUN
ejpam-4549	299	7	fluid	fluid	NOUN
ejpam-4549	299	8	flows	flow	NOUN
ejpam-4549	299	9	with	with	ADP
ejpam-4549	299	10	slip	slip	NOUN
ejpam-4549	299	11	condition	condition	NOUN
ejpam-4549	299	12	.	.	PUNCT
ejpam-4549	300	1	beirut	beirut	PROPN
ejpam-4549	300	2	,	,	PUNCT
ejpam-4549	300	3	2018	2018	NUM
ejpam-4549	300	4	.	.	PUNCT
ejpam-4549	301	1	[	[	X
ejpam-4549	301	2	13	13	NUM
ejpam-4549	301	3	]	]	X
ejpam-4549	301	4	h	h	PROPN
ejpam-4549	301	5	s	s	PART
ejpam-4549	301	6	saad	saad	PROPN
ejpam-4549	301	7	and	and	CCONJ
ejpam-4549	301	8	e	e	PROPN
ejpam-4549	301	9	ashmawy	ashmawy	PROPN
ejpam-4549	301	10	.	.	PUNCT
ejpam-4549	302	1	unsteady	unsteady	ADJ
ejpam-4549	302	2	plane	plane	NOUN
ejpam-4549	302	3	couette	couette	NOUN
ejpam-4549	302	4	flow	flow	NOUN
ejpam-4549	302	5	of	of	ADP
ejpam-4549	302	6	an	an	DET
ejpam-4549	302	7	incompressible	incompressible	ADJ
ejpam-4549	302	8	couple	couple	NOUN
ejpam-4549	302	9	stress	stress	NOUN
ejpam-4549	302	10	fluid	fluid	NOUN
ejpam-4549	302	11	with	with	ADP
ejpam-4549	302	12	slip	slip	NOUN
ejpam-4549	302	13	boundary	boundary	ADJ
ejpam-4549	302	14	conditions	condition	NOUN
ejpam-4549	302	15	.	.	PUNCT
ejpam-4549	303	1	international	international	ADJ
ejpam-4549	303	2	journal	journal	PROPN
ejpam-4549	303	3	of	of	ADP
ejpam-4549	303	4	medical	medical	ADJ
ejpam-4549	303	5	and	and	CCONJ
ejpam-4549	303	6	health	health	NOUN
ejpam-4549	303	7	sciences	sciences	PROPN
ejpam-4549	303	8	research	research	NOUN
ejpam-4549	303	9	,	,	PUNCT
ejpam-4549	303	10	3:85–92	3:85–92	NUM
ejpam-4549	303	11	,	,	PUNCT
ejpam-4549	303	12	2016	2016	NUM
ejpam-4549	303	13	.	.	PUNCT
ejpam-4549	304	1	[	[	X
ejpam-4549	304	2	14	14	NUM
ejpam-4549	304	3	]	]	X
ejpam-4549	304	4	h	h	PROPN
ejpam-4549	304	5	c	c	PROPN
ejpam-4549	304	6	brinkman	brinkman	PROPN
ejpam-4549	304	7	.	.	PUNCT
ejpam-4549	305	1	on	on	ADP
ejpam-4549	305	2	the	the	DET
ejpam-4549	305	3	permeability	permeability	NOUN
ejpam-4549	305	4	of	of	ADP
ejpam-4549	305	5	media	medium	NOUN
ejpam-4549	305	6	consisting	consist	VERB
ejpam-4549	305	7	of	of	ADP
ejpam-4549	305	8	closely	closely	ADV
ejpam-4549	305	9	packed	packed	ADJ
ejpam-4549	305	10	porous	porous	ADJ
ejpam-4549	305	11	particles	particle	NOUN
ejpam-4549	305	12	.	.	PUNCT
ejpam-4549	306	1	flow	flow	NOUN
ejpam-4549	306	2	,	,	PUNCT
ejpam-4549	306	3	turbulence	turbulence	NOUN
ejpam-4549	306	4	and	and	CCONJ
ejpam-4549	306	5	combustion	combustion	NOUN
ejpam-4549	306	6	,	,	PUNCT
ejpam-4549	306	7	1:81–86	1:81–86	NUM
ejpam-4549	306	8	,	,	PUNCT
ejpam-4549	306	9	1949	1949	NUM
ejpam-4549	306	10	.	.	PUNCT
ejpam-4549	307	1	[	[	X
ejpam-4549	307	2	15	15	NUM
ejpam-4549	307	3	]	]	X
ejpam-4549	307	4	r	r	NOUN
ejpam-4549	307	5	sharma	sharma	NOUN
ejpam-4549	307	6	and	and	CCONJ
ejpam-4549	307	7	k	k	PROPN
ejpam-4549	307	8	thakur	thakur	PROPN
ejpam-4549	307	9	.	.	PUNCT
ejpam-4549	308	1	on	on	ADP
ejpam-4549	308	2	couple	couple	NOUN
ejpam-4549	308	3	-	-	PUNCT
ejpam-4549	308	4	stress	stress	NOUN
ejpam-4549	308	5	fluid	fluid	NOUN
ejpam-4549	308	6	heated	heat	VERB
ejpam-4549	308	7	from	from	ADP
ejpam-4549	308	8	below	below	ADP
ejpam-4549	308	9	in	in	ADP
ejpam-4549	308	10	porous	porous	ADJ
ejpam-4549	308	11	medium	medium	NOUN
ejpam-4549	308	12	in	in	ADP
ejpam-4549	308	13	hydromagnetics	hydromagnetic	NOUN
ejpam-4549	308	14	.	.	PUNCT
ejpam-4549	309	1	czechoslovak	czechoslovak	ADJ
ejpam-4549	309	2	journal	journal	PROPN
ejpam-4549	309	3	of	of	ADP
ejpam-4549	309	4	physics	physics	PROPN
ejpam-4549	309	5	,	,	PUNCT
ejpam-4549	309	6	50:753–758	50:753–758	NUM
ejpam-4549	309	7	,	,	PUNCT
ejpam-4549	309	8	2000	2000	NUM
ejpam-4549	309	9	.	.	PUNCT
ejpam-4549	310	1	[	[	X
ejpam-4549	310	2	16	16	NUM
ejpam-4549	310	3	]	]	PUNCT
ejpam-4549	310	4	a	a	DET
ejpam-4549	310	5	alsaedi	alsaedi	NOUN
ejpam-4549	310	6	,	,	PUNCT
ejpam-4549	310	7	d	d	PROPN
ejpam-4549	310	8	tripathi	tripathi	PROPN
ejpam-4549	310	9	n	n	PROPN
ejpam-4549	310	10	ali	ali	PROPN
ejpam-4549	310	11	,	,	PUNCT
ejpam-4549	310	12	and	and	CCONJ
ejpam-4549	310	13	t	t	PROPN
ejpam-4549	310	14	hayat	hayat	NOUN
ejpam-4549	310	15	.	.	PUNCT
ejpam-4549	311	1	peristaltic	peristaltic	ADJ
ejpam-4549	311	2	flow	flow	NOUN
ejpam-4549	311	3	of	of	ADP
ejpam-4549	311	4	couple	couple	NOUN
ejpam-4549	311	5	stress	stress	NOUN
ejpam-4549	311	6	fluid	fluid	NOUN
ejpam-4549	311	7	through	through	ADP
ejpam-4549	311	8	uniform	uniform	ADJ
ejpam-4549	311	9	porous	porous	ADJ
ejpam-4549	311	10	medium	medium	NOUN
ejpam-4549	311	11	.	.	PUNCT
ejpam-4549	312	1	applied	apply	VERB
ejpam-4549	312	2	mathematics	mathematic	NOUN
ejpam-4549	312	3	and	and	CCONJ
ejpam-4549	312	4	mechanics	mechanic	NOUN
ejpam-4549	312	5	,	,	PUNCT
ejpam-4549	312	6	35:469–480	35:469–480	PROPN
ejpam-4549	312	7	,	,	PUNCT
ejpam-4549	312	8	2014	2014	NUM
ejpam-4549	312	9	.	.	PUNCT
ejpam-4549	313	1	[	[	X
ejpam-4549	313	2	17	17	NUM
ejpam-4549	313	3	]	]	X
ejpam-4549	313	4	a	a	DET
ejpam-4549	313	5	a	a	DET
ejpam-4549	313	6	opanuga	opanuga	NOUN
ejpam-4549	313	7	,	,	PUNCT
ejpam-4549	313	8	j	j	PROPN
ejpam-4549	313	9	a	a	DET
ejpam-4549	313	10	gbadeyan	gbadeyan	NOUN
ejpam-4549	313	11	,	,	PUNCT
ejpam-4549	313	12	and	and	CCONJ
ejpam-4549	313	13	s	s	VERB
ejpam-4549	313	14	a	a	DET
ejpam-4549	313	15	iyase	iyase	NOUN
ejpam-4549	313	16	.	.	PUNCT
ejpam-4549	314	1	second	second	ADJ
ejpam-4549	314	2	law	law	NOUN
ejpam-4549	314	3	analysis	analysis	NOUN
ejpam-4549	314	4	of	of	ADP
ejpam-4549	314	5	hydromagnetic	hydromagnetic	ADJ
ejpam-4549	314	6	couple	couple	NOUN
ejpam-4549	314	7	stress	stress	NOUN
ejpam-4549	314	8	fluid	fluid	NOUN
ejpam-4549	314	9	embedded	embed	VERB
ejpam-4549	314	10	in	in	ADP
ejpam-4549	314	11	a	a	DET
ejpam-4549	314	12	non	non	ADJ
ejpam-4549	314	13	-	-	ADJ
ejpam-4549	314	14	darcian	darcian	ADJ
ejpam-4549	314	15	porous	porous	ADJ
ejpam-4549	314	16	medium	medium	NOUN
ejpam-4549	314	17	.	.	PUNCT
ejpam-4549	315	1	international	international	ADJ
ejpam-4549	315	2	journal	journal	NOUN
ejpam-4549	315	3	of	of	ADP
ejpam-4549	315	4	applied	apply	VERB
ejpam-4549	315	5	mathematics	mathematic	NOUN
ejpam-4549	315	6	,	,	PUNCT
ejpam-4549	315	7	47	47	NUM
ejpam-4549	315	8	,	,	PUNCT
ejpam-4549	315	9	2017	2017	NUM
ejpam-4549	315	10	.	.	PUNCT
ejpam-4549	316	1	[	[	X
ejpam-4549	316	2	18	18	NUM
ejpam-4549	316	3	]	]	X
ejpam-4549	316	4	r	r	NOUN
ejpam-4549	316	5	chand	chand	NOUN
ejpam-4549	316	6	,	,	PUNCT
ejpam-4549	316	7	g	g	PROPN
ejpam-4549	316	8	rana	rana	PROPN
ejpam-4549	316	9	,	,	PUNCT
ejpam-4549	316	10	and	and	CCONJ
ejpam-4549	316	11	d	d	X
ejpam-4549	316	12	yadav	yadav	PROPN
ejpam-4549	316	13	.	.	PUNCT
ejpam-4549	317	1	thermal	thermal	ADJ
ejpam-4549	317	2	instability	instability	NOUN
ejpam-4549	317	3	in	in	ADP
ejpam-4549	317	4	a	a	DET
ejpam-4549	317	5	layer	layer	NOUN
ejpam-4549	317	6	of	of	ADP
ejpam-4549	317	7	couple	couple	NOUN
ejpam-4549	317	8	stress	stress	NOUN
ejpam-4549	317	9	nanofluid	nanofluid	ADJ
ejpam-4549	317	10	saturated	saturate	VERB
ejpam-4549	317	11	porous	porous	ADJ
ejpam-4549	317	12	medium	medium	NOUN
ejpam-4549	317	13	.	.	PUNCT
ejpam-4549	317	14	journal	journal	PROPN
ejpam-4549	317	15	of	of	ADP
ejpam-4549	317	16	theoretical	theoretical	ADJ
ejpam-4549	317	17	and	and	CCONJ
ejpam-4549	317	18	applied	applied	ADJ
ejpam-4549	317	19	mechanics	mechanic	NOUN
ejpam-4549	317	20	,	,	PUNCT
ejpam-4549	317	21	47:69	47:69	NUM
ejpam-4549	317	22	,	,	PUNCT
ejpam-4549	317	23	2017	2017	NUM
ejpam-4549	317	24	.	.	PUNCT
ejpam-4549	318	1	appendix	appendix	VERB
ejpam-4549	318	2	1581	1581	NUM
ejpam-4549	318	3	[	[	X
ejpam-4549	318	4	19	19	NUM
ejpam-4549	318	5	]	]	X
ejpam-4549	318	6	d	d	X
ejpam-4549	318	7	yadav	yadav	PROPN
ejpam-4549	318	8	,	,	PUNCT
ejpam-4549	318	9	u	u	PROPN
ejpam-4549	318	10	mahabaleshwar	mahabaleshwar	PROPN
ejpam-4549	318	11	,	,	PUNCT
ejpam-4549	318	12	a	a	DET
ejpam-4549	318	13	wakif	wakif	NOUN
ejpam-4549	318	14	,	,	PUNCT
ejpam-4549	318	15	and	and	CCONJ
ejpam-4549	318	16	r	r	NOUN
ejpam-4549	318	17	chand	chand	NOUN
ejpam-4549	318	18	.	.	PUNCT
ejpam-4549	319	1	significance	significance	NOUN
ejpam-4549	319	2	of	of	ADP
ejpam-4549	319	3	the	the	DET
ejpam-4549	319	4	inconstant	inconstant	ADJ
ejpam-4549	319	5	viscosity	viscosity	NOUN
ejpam-4549	319	6	and	and	CCONJ
ejpam-4549	319	7	internal	internal	ADJ
ejpam-4549	319	8	heat	heat	NOUN
ejpam-4549	319	9	generation	generation	NOUN
ejpam-4549	319	10	on	on	ADP
ejpam-4549	319	11	the	the	DET
ejpam-4549	319	12	occurrence	occurrence	NOUN
ejpam-4549	319	13	of	of	ADP
ejpam-4549	319	14	darcy	darcy	PROPN
ejpam-4549	319	15	-	-	PUNCT
ejpam-4549	319	16	brinkman	brinkman	PROPN
ejpam-4549	319	17	convective	convective	ADJ
ejpam-4549	319	18	motion	motion	NOUN
ejpam-4549	319	19	in	in	ADP
ejpam-4549	319	20	a	a	DET
ejpam-4549	319	21	couple	couple	NOUN
ejpam-4549	319	22	-	-	PUNCT
ejpam-4549	319	23	stress	stress	NOUN
ejpam-4549	319	24	fluid	fluid	NOUN
ejpam-4549	319	25	saturated	saturate	VERB
ejpam-4549	319	26	porous	porous	ADJ
ejpam-4549	319	27	medium	medium	NOUN
ejpam-4549	319	28	:	:	PUNCT
ejpam-4549	319	29	an	an	DET
ejpam-4549	319	30	analytical	analytical	ADJ
ejpam-4549	319	31	solution	solution	NOUN
ejpam-4549	319	32	.	.	PUNCT
ejpam-4549	320	1	international	international	ADJ
ejpam-4549	320	2	communications	communication	NOUN
ejpam-4549	320	3	in	in	ADP
ejpam-4549	320	4	heat	heat	NOUN
ejpam-4549	320	5	and	and	CCONJ
ejpam-4549	320	6	mass	mass	NOUN
ejpam-4549	320	7	transfer	transfer	NOUN
ejpam-4549	320	8	,	,	PUNCT
ejpam-4549	320	9	122:105165	122:105165	NUM
ejpam-4549	320	10	,	,	PUNCT
ejpam-4549	320	11	2021	2021	NUM
ejpam-4549	320	12	.	.	PUNCT
ejpam-4549	321	1	[	[	X
ejpam-4549	321	2	20	20	NUM
ejpam-4549	321	3	]	]	X
ejpam-4549	321	4	i	i	PRON
ejpam-4549	321	5	chabani	chabani	PROPN
ejpam-4549	321	6	,	,	PUNCT
ejpam-4549	321	7	f	f	PROPN
ejpam-4549	321	8	mebarek	mebarek	PROPN
ejpam-4549	321	9	-	-	PUNCT
ejpam-4549	321	10	oudina	oudina	PROPN
ejpam-4549	321	11	,	,	PUNCT
ejpam-4549	321	12	and	and	CCONJ
ejpam-4549	321	13	a	a	DET
ejpam-4549	321	14	a	a	DET
ejpam-4549	321	15	ismail	ismail	NOUN
ejpam-4549	321	16	.	.	PUNCT
ejpam-4549	322	1	mhd	mhd	NOUN
ejpam-4549	322	2	flow	flow	NOUN
ejpam-4549	322	3	of	of	ADP
ejpam-4549	322	4	a	a	DET
ejpam-4549	322	5	hybrid	hybrid	ADJ
ejpam-4549	322	6	nano	nano	NOUN
ejpam-4549	322	7	-	-	PUNCT
ejpam-4549	322	8	fluid	fluid	NOUN
ejpam-4549	322	9	in	in	ADP
ejpam-4549	322	10	a	a	DET
ejpam-4549	322	11	triangular	triangular	NOUN
ejpam-4549	322	12	enclosure	enclosure	NOUN
ejpam-4549	322	13	with	with	ADP
ejpam-4549	322	14	zigzags	zigzag	NOUN
ejpam-4549	322	15	and	and	CCONJ
ejpam-4549	322	16	an	an	DET
ejpam-4549	322	17	elliptic	elliptic	ADJ
ejpam-4549	322	18	obstacle	obstacle	NOUN
ejpam-4549	322	19	.	.	PUNCT
ejpam-4549	323	1	micromachines	micromachine	NOUN
ejpam-4549	323	2	,	,	PUNCT
ejpam-4549	323	3	13:224	13:224	NUM
ejpam-4549	323	4	,	,	PUNCT
ejpam-4549	323	5	2022	2022	NUM
ejpam-4549	323	6	.	.	PUNCT
ejpam-4549	324	1	[	[	X
ejpam-4549	324	2	21	21	NUM
ejpam-4549	324	3	]	]	X
ejpam-4549	324	4	r	r	NOUN
ejpam-4549	324	5	djebali	djebali	PROPN
ejpam-4549	324	6	,	,	PUNCT
ejpam-4549	324	7	f	f	PROPN
ejpam-4549	324	8	mebarek	mebarek	PROPN
ejpam-4549	324	9	-	-	PUNCT
ejpam-4549	324	10	oudina	oudina	PROPN
ejpam-4549	324	11	,	,	PUNCT
ejpam-4549	324	12	and	and	CCONJ
ejpam-4549	324	13	c	c	NOUN
ejpam-4549	324	14	rajashekhar	rajashekhar	NOUN
ejpam-4549	324	15	.	.	PUNCT
ejpam-4549	325	1	similarity	similarity	NOUN
ejpam-4549	325	2	solution	solution	NOUN
ejpam-4549	325	3	analysis	analysis	NOUN
ejpam-4549	325	4	of	of	ADP
ejpam-4549	325	5	dynamic	dynamic	ADJ
ejpam-4549	325	6	and	and	CCONJ
ejpam-4549	325	7	thermal	thermal	ADJ
ejpam-4549	325	8	boundry	boundry	ADJ
ejpam-4549	325	9	layers	layer	NOUN
ejpam-4549	325	10	:	:	PUNCT
ejpam-4549	325	11	further	further	ADJ
ejpam-4549	325	12	formulation	formulation	NOUN
ejpam-4549	325	13	along	along	ADP
ejpam-4549	325	14	a	a	DET
ejpam-4549	325	15	vertical	vertical	ADJ
ejpam-4549	325	16	flat	flat	ADJ
ejpam-4549	325	17	plate	plate	NOUN
ejpam-4549	325	18	.	.	PUNCT
ejpam-4549	326	1	physica	physica	PROPN
ejpam-4549	326	2	scripta	scripta	PROPN
ejpam-4549	326	3	,	,	PUNCT
ejpam-4549	326	4	96:085206	96:085206	NUM
ejpam-4549	326	5	,	,	PUNCT
ejpam-4549	326	6	2021	2021	NUM
ejpam-4549	326	7	.	.	PUNCT
ejpam-4549	327	1	[	[	X
ejpam-4549	327	2	22	22	NUM
ejpam-4549	327	3	]	]	X
ejpam-4549	327	4	y	y	PROPN
ejpam-4549	327	5	d	d	PROPN
ejpam-4549	327	6	reddy	reddy	PROPN
ejpam-4549	327	7	,	,	PUNCT
ejpam-4549	327	8	f	f	PROPN
ejpam-4549	327	9	mebarek	mebarek	PROPN
ejpam-4549	327	10	-	-	PUNCT
ejpam-4549	327	11	oudina	oudina	PROPN
ejpam-4549	327	12	,	,	PUNCT
ejpam-4549	327	13	b	b	PROPN
ejpam-4549	327	14	s	s	PROPN
ejpam-4549	327	15	goud	goud	NOUN
ejpam-4549	327	16	,	,	PUNCT
ejpam-4549	327	17	and	and	CCONJ
ejpam-4549	327	18	a	a	DET
ejpam-4549	327	19	ismail	ismail	NOUN
ejpam-4549	327	20	.	.	PUNCT
ejpam-4549	328	1	radiation	radiation	NOUN
ejpam-4549	328	2	,	,	PUNCT
ejpam-4549	328	3	velocity	velocity	NOUN
ejpam-4549	328	4	and	and	CCONJ
ejpam-4549	328	5	thermal	thermal	ADJ
ejpam-4549	328	6	slips	slip	VERB
ejpam-4549	328	7	effect	effect	NOUN
ejpam-4549	328	8	toward	toward	ADP
ejpam-4549	328	9	mhd	mhd	PROPN
ejpam-4549	328	10	boundry	boundry	PROPN
ejpam-4549	328	11	layer	layer	NOUN
ejpam-4549	328	12	flow	flow	VERB
ejpam-4549	328	13	through	through	ADP
ejpam-4549	328	14	heat	heat	NOUN
ejpam-4549	328	15	and	and	CCONJ
ejpam-4549	328	16	mass	mass	NOUN
ejpam-4549	328	17	transport	transport	NOUN
ejpam-4549	328	18	of	of	ADP
ejpam-4549	328	19	williamson	williamson	PROPN
ejpam-4549	328	20	nanofluid	nanofluid	PROPN
ejpam-4549	328	21	with	with	ADP
ejpam-4549	328	22	porous	porous	ADJ
ejpam-4549	328	23	medium	medium	NOUN
ejpam-4549	328	24	.	.	PUNCT
ejpam-4549	329	1	arabian	arabian	ADJ
ejpam-4549	329	2	journal	journal	PROPN
ejpam-4549	329	3	for	for	ADP
ejpam-4549	329	4	science	science	NOUN
ejpam-4549	329	5	and	and	CCONJ
ejpam-4549	329	6	engineering	engineering	NOUN
ejpam-4549	329	7	,	,	PUNCT
ejpam-4549	329	8	pages	page	NOUN
ejpam-4549	329	9	1–15	1–15	PROPN
ejpam-4549	329	10	,	,	PUNCT
ejpam-4549	329	11	2022	2022	NUM
ejpam-4549	329	12	.	.	PUNCT
ejpam-4549	330	1	[	[	X
ejpam-4549	330	2	23	23	NUM
ejpam-4549	330	3	]	]	PUNCT
ejpam-4549	330	4	a	a	DET
ejpam-4549	330	5	shafiq	shafiq	PROPN
ejpam-4549	330	6	,	,	PUNCT
ejpam-4549	330	7	f	f	PROPN
ejpam-4549	330	8	mebarek	mebarek	PROPN
ejpam-4549	330	9	-	-	PUNCT
ejpam-4549	330	10	oudina	oudina	PROPN
ejpam-4549	330	11	,	,	PUNCT
ejpam-4549	330	12	t	t	PROPN
ejpam-4549	330	13	sindhu	sindhu	PROPN
ejpam-4549	330	14	,	,	PUNCT
ejpam-4549	330	15	and	and	CCONJ
ejpam-4549	330	16	g	g	PROPN
ejpam-4549	330	17	rasool	rasool	NOUN
ejpam-4549	330	18	.	.	PUNCT
ejpam-4549	331	1	sensitivity	sensitivity	NOUN
ejpam-4549	331	2	analysis	analysis	NOUN
ejpam-4549	331	3	for	for	ADP
ejpam-4549	331	4	walters	walters	PROPN
ejpam-4549	331	5	-	-	PUNCT
ejpam-4549	331	6	b	b	PROPN
ejpam-4549	331	7	nanoliquid	nanoliquid	ADJ
ejpam-4549	331	8	flow	flow	NOUN
ejpam-4549	331	9	over	over	ADP
ejpam-4549	331	10	a	a	DET
ejpam-4549	331	11	radiative	radiative	ADJ
ejpam-4549	331	12	riga	riga	ADJ
ejpam-4549	331	13	surface	surface	NOUN
ejpam-4549	331	14	by	by	ADP
ejpam-4549	331	15	rsm	rsm	PROPN
ejpam-4549	331	16	.	.	PROPN
ejpam-4549	331	17	scientia	scientia	PROPN
ejpam-4549	331	18	iranica	iranica	PROPN
ejpam-4549	331	19	,	,	PUNCT
ejpam-4549	331	20	29:1236–1249	29:1236–1249	NUM
ejpam-4549	331	21	,	,	PUNCT
ejpam-4549	331	22	2022	2022	NUM
ejpam-4549	331	23	.	.	PUNCT
ejpam-4549	332	1	[	[	X
ejpam-4549	332	2	24	24	NUM
ejpam-4549	332	3	]	]	X
ejpam-4549	332	4	k	k	PROPN
ejpam-4549	332	5	p	p	X
ejpam-4549	332	6	madasu	madasu	X
ejpam-4549	332	7	and	and	CCONJ
ejpam-4549	332	8	p	p	PROPN
ejpam-4549	332	9	sarkar	sarkar	NOUN
ejpam-4549	332	10	.	.	PUNCT
ejpam-4549	333	1	couple	couple	NOUN
ejpam-4549	333	2	stress	stress	NOUN
ejpam-4549	333	3	fluid	fluid	NOUN
ejpam-4549	333	4	past	past	ADP
ejpam-4549	333	5	a	a	DET
ejpam-4549	333	6	sphere	sphere	NOUN
ejpam-4549	333	7	embedded	embed	VERB
ejpam-4549	333	8	in	in	ADP
ejpam-4549	333	9	a	a	DET
ejpam-4549	333	10	porous	porous	ADJ
ejpam-4549	333	11	medium	medium	NOUN
ejpam-4549	333	12	.	.	PUNCT
ejpam-4549	334	1	archive	archive	NOUN
ejpam-4549	334	2	of	of	ADP
ejpam-4549	334	3	mechanical	mechanical	ADJ
ejpam-4549	334	4	engineering	engineering	NOUN
ejpam-4549	334	5	,	,	PUNCT
ejpam-4549	334	6	69:5–19	69:5–19	NUM
ejpam-4549	334	7	,	,	PUNCT
ejpam-4549	334	8	2022	2022	NUM
ejpam-4549	334	9	.	.	PUNCT
ejpam-4549	335	1	[	[	X
ejpam-4549	335	2	25	25	NUM
ejpam-4549	335	3	]	]	X
ejpam-4549	335	4	m	m	VERB
ejpam-4549	335	5	kaviany	kaviany	ADJ
ejpam-4549	335	6	.	.	PUNCT
ejpam-4549	336	1	principles	principle	NOUN
ejpam-4549	336	2	of	of	ADP
ejpam-4549	336	3	heat	heat	NOUN
ejpam-4549	336	4	transfer	transfer	NOUN
ejpam-4549	336	5	in	in	ADP
ejpam-4549	336	6	porous	porous	ADJ
ejpam-4549	336	7	media	medium	NOUN
ejpam-4549	336	8	.	.	PUNCT
ejpam-4549	337	1	springer	springer	NOUN
ejpam-4549	337	2	science	science	NOUN
ejpam-4549	337	3	and	and	CCONJ
ejpam-4549	337	4	business	business	NOUN
ejpam-4549	337	5	media	medium	NOUN
ejpam-4549	337	6	.	.	PUNCT
ejpam-4549	337	7	,	,	PUNCT
ejpam-4549	337	8	2012	2012	NUM
ejpam-4549	337	9	.	.	PUNCT
ejpam-4549	338	1	[	[	X
ejpam-4549	338	2	26	26	NUM
ejpam-4549	338	3	]	]	SYM
ejpam-4549	338	4	s	s	PART
ejpam-4549	338	5	el	el	PROPN
ejpam-4549	338	6	-	-	PUNCT
ejpam-4549	338	7	sapa	sapa	NOUN
ejpam-4549	338	8	.	.	PUNCT
ejpam-4549	339	1	settling	settle	VERB
ejpam-4549	339	2	slip	slip	NOUN
ejpam-4549	339	3	velocity	velocity	NOUN
ejpam-4549	339	4	of	of	ADP
ejpam-4549	339	5	a	a	DET
ejpam-4549	339	6	spherical	spherical	ADJ
ejpam-4549	339	7	particle	particle	NOUN
ejpam-4549	339	8	in	in	ADP
ejpam-4549	339	9	an	an	DET
ejpam-4549	339	10	unbounded	unbounded	ADJ
ejpam-4549	339	11	micropolar	micropolar	ADJ
ejpam-4549	339	12	fluid	fluid	NOUN
ejpam-4549	339	13	.	.	PUNCT
ejpam-4549	340	1	the	the	DET
ejpam-4549	340	2	european	european	PROPN
ejpam-4549	340	3	physical	physical	PROPN
ejpam-4549	340	4	journal	journal	PROPN
ejpam-4549	340	5	e	e	PROPN
ejpam-4549	340	6	,	,	PUNCT
ejpam-4549	340	7	42:32	42:32	NUM
ejpam-4549	340	8	,	,	PUNCT
ejpam-4549	340	9	2019	2019	NUM
ejpam-4549	340	10	.	.	PUNCT
ejpam-4549	341	1	[	[	X
ejpam-4549	341	2	27	27	NUM
ejpam-4549	341	3	]	]	SYM
ejpam-4549	341	4	s	s	PART
ejpam-4549	341	5	el	el	PROPN
ejpam-4549	341	6	-	-	PUNCT
ejpam-4549	341	7	sapa	sapa	NOUN
ejpam-4549	341	8	.	.	PUNCT
ejpam-4549	342	1	interaction	interaction	NOUN
ejpam-4549	342	2	between	between	ADP
ejpam-4549	342	3	a	a	DET
ejpam-4549	342	4	non	non	ADJ
ejpam-4549	342	5	-	-	ADJ
ejpam-4549	342	6	concentric	concentric	ADJ
ejpam-4549	342	7	rigid	rigid	ADJ
ejpam-4549	342	8	sphere	sphere	NOUN
ejpam-4549	342	9	immersed	immerse	VERB
ejpam-4549	342	10	in	in	ADP
ejpam-4549	342	11	a	a	DET
ejpam-4549	342	12	micropolar	micropolar	ADJ
ejpam-4549	342	13	fluid	fluid	NOUN
ejpam-4549	342	14	and	and	CCONJ
ejpam-4549	342	15	a	a	DET
ejpam-4549	342	16	spherical	spherical	ADJ
ejpam-4549	342	17	envelope	envelope	NOUN
ejpam-4549	342	18	with	with	ADP
ejpam-4549	342	19	slip	slip	NOUN
ejpam-4549	342	20	regime	regime	NOUN
ejpam-4549	342	21	.	.	PUNCT
ejpam-4549	343	1	journal	journal	NOUN
ejpam-4549	343	2	of	of	ADP
ejpam-4549	343	3	molecular	molecular	ADJ
ejpam-4549	343	4	liquids	liquid	NOUN
ejpam-4549	343	5	,	,	PUNCT
ejpam-4549	343	6	351:118611	351:118611	NUM
ejpam-4549	343	7	,	,	PUNCT
ejpam-4549	343	8	2022	2022	NUM
ejpam-4549	343	9	.	.	PUNCT
ejpam-4549	344	1	[	[	X
ejpam-4549	344	2	28	28	NUM
ejpam-4549	344	3	]	]	X
ejpam-4549	344	4	h	h	NOUN
ejpam-4549	344	5	h	h	PROPN
ejpam-4549	344	6	sherief	sherief	NOUN
ejpam-4549	344	7	,	,	PUNCT
ejpam-4549	344	8	m	m	PROPN
ejpam-4549	344	9	s	s	NOUN
ejpam-4549	344	10	faltas	falta	NOUN
ejpam-4549	344	11	,	,	PUNCT
ejpam-4549	344	12	and	and	CCONJ
ejpam-4549	344	13	s	s	VERB
ejpam-4549	344	14	el	el	PROPN
ejpam-4549	344	15	-	-	PUNCT
ejpam-4549	344	16	sapa	sapa	NOUN
ejpam-4549	344	17	.	.	PUNCT
ejpam-4549	345	1	force	force	NOUN
ejpam-4549	345	2	on	on	ADP
ejpam-4549	345	3	a	a	DET
ejpam-4549	345	4	spherical	spherical	ADJ
ejpam-4549	345	5	particle	particle	NOUN
ejpam-4549	345	6	oscillating	oscillate	VERB
ejpam-4549	345	7	in	in	ADP
ejpam-4549	345	8	a	a	DET
ejpam-4549	345	9	viscous	viscous	ADJ
ejpam-4549	345	10	fluid	fluid	NOUN
ejpam-4549	345	11	perpendicular	perpendicular	NOUN
ejpam-4549	345	12	to	to	ADP
ejpam-4549	345	13	an	an	DET
ejpam-4549	345	14	impermeable	impermeable	ADJ
ejpam-4549	345	15	planar	planar	ADJ
ejpam-4549	345	16	wall	wall	NOUN
ejpam-4549	345	17	.	.	PUNCT
ejpam-4549	346	1	journal	journal	PROPN
ejpam-4549	346	2	of	of	ADP
ejpam-4549	346	3	the	the	DET
ejpam-4549	346	4	brazilian	brazilian	ADJ
ejpam-4549	346	5	society	society	NOUN
ejpam-4549	346	6	of	of	ADP
ejpam-4549	346	7	mechanical	mechanical	ADJ
ejpam-4549	346	8	sciences	science	NOUN
ejpam-4549	346	9	and	and	CCONJ
ejpam-4549	346	10	engineering	engineering	NOUN
ejpam-4549	346	11	,	,	PUNCT
ejpam-4549	346	12	41:244	41:244	NUM
ejpam-4549	346	13	,	,	PUNCT
ejpam-4549	346	14	2019	2019	NUM
ejpam-4549	346	15	.	.	PUNCT
ejpam-4549	347	1	appendix	appendix	ADJ
ejpam-4549	347	2	expressions	expression	NOUN
ejpam-4549	347	3	of	of	ADP
ejpam-4549	347	4	stresses	stress	NOUN
ejpam-4549	347	5	and	and	CCONJ
ejpam-4549	347	6	couple	couple	NOUN
ejpam-4549	347	7	stresses	stress	NOUN
ejpam-4549	347	8	for	for	ADP
ejpam-4549	347	9	the	the	DET
ejpam-4549	347	10	couple	couple	NOUN
ejpam-4549	347	11	stress	stress	NOUN
ejpam-4549	347	12	fluids	fluid	NOUN
ejpam-4549	347	13	theory	theory	NOUN
ejpam-4549	347	14	.	.	PUNCT
ejpam-4549	348	1	(	(	PUNCT
ejpam-4549	348	2	a.1	a.1	X
ejpam-4549	348	3	):	):	PUNCT
ejpam-4549	348	4	the	the	DET
ejpam-4549	348	5	strain	strain	NOUN
ejpam-4549	348	6	tensor	tensor	NOUN
ejpam-4549	348	7	components	component	NOUN
ejpam-4549	348	8	are	be	AUX
ejpam-4549	348	9	obtained	obtain	VERB
ejpam-4549	348	10	by	by	ADP
ejpam-4549	348	11	from	from	ADP
ejpam-4549	348	12	equation	equation	NOUN
ejpam-4549	348	13	(	(	PUNCT
ejpam-4549	348	14	5	5	NUM
ejpam-4549	348	15	)	)	PUNCT
ejpam-4549	348	16	err	err	NOUN
ejpam-4549	348	17	=	=	SYM
ejpam-4549	348	18	∂qr	∂qr	NOUN
ejpam-4549	348	19	∂r	∂r	ADJ
ejpam-4549	348	20	,	,	PUNCT
ejpam-4549	348	21	appendix	appendix	VERB
ejpam-4549	348	22	1582	1582	NUM
ejpam-4549	349	1	erθ	erθ	ADJ
ejpam-4549	349	2	=	=	SYM
ejpam-4549	349	3	eθr	eθr	ADJ
ejpam-4549	350	1	=	=	SYM
ejpam-4549	350	2	1	1	NUM
ejpam-4549	350	3	2	2	NUM
ejpam-4549	350	4	[	[	SYM
ejpam-4549	350	5	1	1	NUM
ejpam-4549	350	6	r	r	NOUN
ejpam-4549	350	7	∂qr	∂qr	NOUN
ejpam-4549	350	8	∂θ	∂θ	PROPN
ejpam-4549	350	9	−	−	NOUN
ejpam-4549	350	10	qθ	qθ	NOUN
ejpam-4549	350	11	r	r	NOUN
ejpam-4549	350	12	+	+	CCONJ
ejpam-4549	350	13	∂qθ	∂qθ	PROPN
ejpam-4549	350	14	∂r	∂r	PROPN
ejpam-4549	350	15	]	]	PUNCT
ejpam-4549	350	16	,	,	PUNCT
ejpam-4549	350	17	eθθ	eθθ	PROPN
ejpam-4549	350	18	=	=	PUNCT
ejpam-4549	351	1	[	[	PUNCT
ejpam-4549	351	2	1	1	NUM
ejpam-4549	351	3	r	r	NOUN
ejpam-4549	351	4	∂qθ	∂qθ	PROPN
ejpam-4549	351	5	∂θ	∂θ	PROPN
ejpam-4549	352	1	+	+	CCONJ
ejpam-4549	352	2	qr	qr	NOUN
ejpam-4549	352	3	r	r	NOUN
ejpam-4549	352	4	]	]	PUNCT
ejpam-4549	352	5	,	,	PUNCT
ejpam-4549	352	6	eθϕ	eθϕ	PROPN
ejpam-4549	352	7	=	=	SYM
ejpam-4549	352	8	eϕθ	eϕθ	PROPN
ejpam-4549	352	9	=	=	SYM
ejpam-4549	352	10	1	1	NUM
ejpam-4549	352	11	2	2	NUM
ejpam-4549	353	1	[	[	X
ejpam-4549	353	2	sin	sin	NOUN
ejpam-4549	353	3	θ	θ	NOUN
ejpam-4549	353	4	r	r	NOUN
ejpam-4549	353	5	∂	∂	NOUN
ejpam-4549	353	6	∂θ	∂θ	PROPN
ejpam-4549	353	7	(	(	PUNCT
ejpam-4549	353	8	qϕ	qϕ	ADP
ejpam-4549	353	9	sin	sin	VERB
ejpam-4549	353	10	θ	θ	PROPN
ejpam-4549	353	11	)	)	PUNCT
ejpam-4549	354	1	+	+	CCONJ
ejpam-4549	354	2	1	1	NUM
ejpam-4549	354	3	r	r	NOUN
ejpam-4549	354	4	sin	sin	NOUN
ejpam-4549	354	5	θ	θ	PROPN
ejpam-4549	354	6	∂qϕ	∂qϕ	PROPN
ejpam-4549	354	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	354	8	]	]	PUNCT
ejpam-4549	354	9	,	,	PUNCT
ejpam-4549	354	10	erϕ	erϕ	X
ejpam-4549	354	11	=	=	SYM
ejpam-4549	354	12	eϕr	eϕr	NOUN
ejpam-4549	354	13	=	=	SYM
ejpam-4549	354	14	1	1	NUM
ejpam-4549	354	15	2	2	NUM
ejpam-4549	354	16	[	[	PUNCT
ejpam-4549	354	17	1	1	NUM
ejpam-4549	354	18	r	r	NOUN
ejpam-4549	354	19	sin	sin	NOUN
ejpam-4549	354	20	θ	θ	NOUN
ejpam-4549	354	21	∂qr	∂qr	PROPN
ejpam-4549	355	1	∂ϕ	∂ϕ	PROPN
ejpam-4549	356	1	+	+	NUM
ejpam-4549	356	2	r	r	NOUN
ejpam-4549	356	3	∂	∂	NOUN
ejpam-4549	356	4	∂r	∂r	PROPN
ejpam-4549	356	5	(	(	PUNCT
ejpam-4549	356	6	qϕ	qϕ	NOUN
ejpam-4549	356	7	r	r	NOUN
ejpam-4549	356	8	)	)	PUNCT
ejpam-4549	356	9	]	]	PUNCT
ejpam-4549	357	1	=	=	SYM
ejpam-4549	358	1	1	1	NUM
ejpam-4549	358	2	2	2	NUM
ejpam-4549	358	3	[	[	PUNCT
ejpam-4549	358	4	1	1	NUM
ejpam-4549	358	5	r	r	NOUN
ejpam-4549	358	6	sin	sin	NOUN
ejpam-4549	358	7	θ	θ	NOUN
ejpam-4549	358	8	∂qr	∂qr	PROPN
ejpam-4549	358	9	∂ϕ	∂ϕ	PROPN
ejpam-4549	359	1	+	+	SYM
ejpam-4549	359	2	∂qϕ	∂qϕ	PROPN
ejpam-4549	359	3	∂r	∂r	PROPN
ejpam-4549	359	4	−	−	PROPN
ejpam-4549	360	1	qϕ	qϕ	NOUN
ejpam-4549	360	2	r	r	NOUN
ejpam-4549	360	3	]	]	PUNCT
ejpam-4549	360	4	,	,	PUNCT
ejpam-4549	360	5	eϕϕ	eϕϕ	NOUN
ejpam-4549	360	6	=	=	PUNCT
ejpam-4549	360	7	[	[	PUNCT
ejpam-4549	360	8	1	1	NUM
ejpam-4549	360	9	r	r	NOUN
ejpam-4549	360	10	sin	sin	NOUN
ejpam-4549	360	11	θ	θ	PROPN
ejpam-4549	360	12	∂qϕ	∂qϕ	PROPN
ejpam-4549	360	13	∂ϕ	∂ϕ	PROPN
ejpam-4549	361	1	+	+	CCONJ
ejpam-4549	361	2	∂qr	∂qr	PROPN
ejpam-4549	361	3	∂r	∂r	PROPN
ejpam-4549	362	1	+	+	NUM
ejpam-4549	362	2	qθ	qθ	ADJ
ejpam-4549	362	3	cot	cot	NOUN
ejpam-4549	362	4	θ	θ	NOUN
ejpam-4549	362	5	r	r	NOUN
ejpam-4549	362	6	]	]	PUNCT
ejpam-4549	362	7	.	.	PUNCT
ejpam-4549	363	1	(	(	PUNCT
ejpam-4549	363	2	a.2	a.2	SYM
ejpam-4549	363	3	):	):	PUNCT
ejpam-4549	363	4	the	the	DET
ejpam-4549	363	5	couple	couple	NOUN
ejpam-4549	363	6	stresses	stress	NOUN
ejpam-4549	363	7	are	be	AUX
ejpam-4549	363	8	calculated	calculate	VERB
ejpam-4549	363	9	by	by	ADP
ejpam-4549	363	10	from	from	ADP
ejpam-4549	363	11	equation	equation	NOUN
ejpam-4549	363	12	(	(	PUNCT
ejpam-4549	363	13	6	6	NUM
ejpam-4549	363	14	)	)	PUNCT
ejpam-4549	363	15	mrr	mrr	NOUN
ejpam-4549	363	16	=	=	SYM
ejpam-4549	363	17	m+	m+	NUM
ejpam-4549	363	18	4(η	4(η	NUM
ejpam-4549	363	19	+	+	CCONJ
ejpam-4549	363	20	η′	η′	NOUN
ejpam-4549	363	21	)	)	PUNCT
ejpam-4549	363	22	∂ωr	∂ωr	PROPN
ejpam-4549	363	23	∂r	∂r	PROPN
ejpam-4549	363	24	,	,	PUNCT
ejpam-4549	363	25	mrθ	mrθ	NOUN
ejpam-4549	363	26	=	=	SYM
ejpam-4549	363	27	4	4	NUM
ejpam-4549	363	28	[	[	PUNCT
ejpam-4549	363	29	η	η	PROPN
ejpam-4549	363	30	∂ωθ	∂ωθ	PROPN
ejpam-4549	363	31	∂r	∂r	PROPN
ejpam-4549	364	1	+	+	NUM
ejpam-4549	364	2	η′	η′	NUM
ejpam-4549	364	3	1	1	NUM
ejpam-4549	364	4	r	r	NOUN
ejpam-4549	364	5	(	(	PUNCT
ejpam-4549	364	6	∂ωr	∂ωr	PROPN
ejpam-4549	364	7	∂θ	∂θ	PROPN
ejpam-4549	365	1	−	−	ADP
ejpam-4549	365	2	ωθ	ωθ	NOUN
ejpam-4549	365	3	)	)	PUNCT
ejpam-4549	365	4	]	]	PUNCT
ejpam-4549	365	5	,	,	PUNCT
ejpam-4549	365	6	mrϕ	mrϕ	NOUN
ejpam-4549	365	7	=	=	SYM
ejpam-4549	365	8	4	4	NUM
ejpam-4549	365	9	[	[	PUNCT
ejpam-4549	365	10	η	η	PROPN
ejpam-4549	365	11	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	365	12	∂r	∂r	PROPN
ejpam-4549	366	1	+	+	NUM
ejpam-4549	366	2	η′	η′	NUM
ejpam-4549	366	3	1	1	NUM
ejpam-4549	366	4	r	r	NOUN
ejpam-4549	366	5	(	(	PUNCT
ejpam-4549	366	6	1	1	NUM
ejpam-4549	366	7	sin	sin	NOUN
ejpam-4549	366	8	θ	θ	PROPN
ejpam-4549	366	9	∂ωr	∂ωr	PROPN
ejpam-4549	366	10	∂ϕ	∂ϕ	PROPN
ejpam-4549	366	11	−	−	NOUN
ejpam-4549	366	12	ωϕ	ωϕ	NUM
ejpam-4549	366	13	)	)	PUNCT
ejpam-4549	366	14	]	]	PUNCT
ejpam-4549	366	15	,	,	PUNCT
ejpam-4549	366	16	mθr	mθr	NOUN
ejpam-4549	366	17	=	=	SYM
ejpam-4549	366	18	4	4	NUM
ejpam-4549	366	19	[	[	PUNCT
ejpam-4549	366	20	η	η	PROPN
ejpam-4549	366	21	1	1	NUM
ejpam-4549	366	22	r	r	NOUN
ejpam-4549	366	23	(	(	PUNCT
ejpam-4549	366	24	∂ωr	∂ωr	PROPN
ejpam-4549	366	25	∂θ	∂θ	PROPN
ejpam-4549	366	26	−	−	ADP
ejpam-4549	366	27	ωθ	ωθ	NOUN
ejpam-4549	366	28	)	)	PUNCT
ejpam-4549	366	29	+	+	CCONJ
ejpam-4549	366	30	η′	η′	NUM
ejpam-4549	366	31	∂ωθ	∂ωθ	PROPN
ejpam-4549	367	1	∂r	∂r	X
ejpam-4549	367	2	]	]	PUNCT
ejpam-4549	367	3	,	,	PUNCT
ejpam-4549	367	4	mθθ	mθθ	NOUN
ejpam-4549	367	5	=	=	SYM
ejpam-4549	367	6	m+	m+	NUM
ejpam-4549	367	7	4(η	4(η	NUM
ejpam-4549	367	8	+	+	CCONJ
ejpam-4549	367	9	η′	η′	NOUN
ejpam-4549	367	10	)	)	PUNCT
ejpam-4549	367	11	1	1	NUM
ejpam-4549	367	12	r	r	NOUN
ejpam-4549	367	13	(	(	PUNCT
ejpam-4549	367	14	∂ωθ	∂ωθ	PROPN
ejpam-4549	367	15	∂θ	∂θ	PROPN
ejpam-4549	368	1	+	+	CCONJ
ejpam-4549	368	2	ωr	ωr	ADJ
ejpam-4549	368	3	)	)	PUNCT
ejpam-4549	368	4	,	,	PUNCT
ejpam-4549	368	5	mθϕ	mθϕ	NOUN
ejpam-4549	368	6	=	=	SYM
ejpam-4549	368	7	4	4	NUM
ejpam-4549	368	8	[	[	PUNCT
ejpam-4549	368	9	η	η	PROPN
ejpam-4549	368	10	1	1	NUM
ejpam-4549	368	11	r	r	NOUN
ejpam-4549	368	12	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	368	13	∂θ	∂θ	PROPN
ejpam-4549	368	14	+	+	CCONJ
ejpam-4549	368	15	η′	η′	NUM
ejpam-4549	368	16	1	1	NUM
ejpam-4549	368	17	r	r	NOUN
ejpam-4549	368	18	(	(	PUNCT
ejpam-4549	368	19	1	1	NUM
ejpam-4549	368	20	sin	sin	NOUN
ejpam-4549	368	21	θ	θ	PROPN
ejpam-4549	368	22	∂ωθ	∂ωθ	PROPN
ejpam-4549	368	23	∂ϕ	∂ϕ	PROPN
ejpam-4549	368	24	−	−	PROPN
ejpam-4549	368	25	cot	cot	NOUN
ejpam-4549	368	26	θωϕ	θωϕ	PROPN
ejpam-4549	368	27	)	)	PUNCT
ejpam-4549	368	28	]	]	PUNCT
ejpam-4549	368	29	,	,	PUNCT
ejpam-4549	368	30	mϕr	mϕr	NOUN
ejpam-4549	368	31	=	=	SYM
ejpam-4549	368	32	4	4	NUM
ejpam-4549	368	33	[	[	PUNCT
ejpam-4549	368	34	η	η	PROPN
ejpam-4549	368	35	1	1	NUM
ejpam-4549	368	36	r	r	NOUN
ejpam-4549	368	37	(	(	PUNCT
ejpam-4549	368	38	1	1	NUM
ejpam-4549	368	39	sin	sin	NOUN
ejpam-4549	368	40	θ	θ	PROPN
ejpam-4549	368	41	∂ωθ	∂ωθ	PROPN
ejpam-4549	368	42	∂ϕ	∂ϕ	PROPN
ejpam-4549	368	43	−	−	PROPN
ejpam-4549	368	44	cot	cot	NOUN
ejpam-4549	368	45	θωϕ	θωϕ	PROPN
ejpam-4549	368	46	)	)	PUNCT
ejpam-4549	369	1	+	+	CCONJ
ejpam-4549	369	2	η′	η′	NUM
ejpam-4549	369	3	1	1	NUM
ejpam-4549	369	4	r	r	NOUN
ejpam-4549	369	5	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	369	6	∂θ	∂θ	PROPN
ejpam-4549	369	7	]	]	PUNCT
ejpam-4549	369	8	,	,	PUNCT
ejpam-4549	369	9	mϕϕ	mϕϕ	NOUN
ejpam-4549	369	10	=	=	PUNCT
ejpam-4549	369	11	m+	m+	NUM
ejpam-4549	369	12	4(η	4(η	NUM
ejpam-4549	369	13	+	+	CCONJ
ejpam-4549	369	14	η′	η′	NOUN
ejpam-4549	369	15	)	)	PUNCT
ejpam-4549	369	16	1	1	NUM
ejpam-4549	369	17	r	r	NOUN
ejpam-4549	369	18	[	[	PUNCT
ejpam-4549	369	19	1	1	NUM
ejpam-4549	369	20	sin	sin	NOUN
ejpam-4549	369	21	θ	θ	PROPN
ejpam-4549	369	22	∂ωϕ	∂ωϕ	PROPN
ejpam-4549	369	23	∂ϕ	∂ϕ	PROPN
ejpam-4549	369	24	+	+	CCONJ
ejpam-4549	369	25	ωr	ωr	ADJ
ejpam-4549	369	26	+	+	CCONJ
ejpam-4549	369	27	cot	cot	NOUN
ejpam-4549	369	28	θωθ	θωθ	NOUN
ejpam-4549	369	29	]	]	PUNCT
ejpam-4549	369	30	.	.	PUNCT
ejpam-4549	370	1	(	(	PUNCT
ejpam-4549	370	2	a.3	a.3	ADJ
ejpam-4549	370	3	):	):	PUNCT
ejpam-4549	370	4	used	use	VERB
ejpam-4549	370	5	relations	relation	NOUN
ejpam-4549	370	6	in	in	ADP
ejpam-4549	370	7	the	the	DET
ejpam-4549	370	8	analysis	analysis	NOUN
ejpam-4549	370	9	i×∇.m	i×∇.m	NOUN
ejpam-4549	370	10	=	=	PUNCT
ejpam-4549	370	11	(	(	PUNCT
ejpam-4549	370	12	−e⃗θe⃗ϕ	−e⃗θe⃗ϕ	VERB
ejpam-4549	370	13	+	+	CCONJ
ejpam-4549	370	14	e⃗ϕe⃗θ	e⃗ϕe⃗θ	NOUN
ejpam-4549	370	15	)	)	PUNCT
ejpam-4549	371	1	[	[	X
ejpam-4549	371	2	∂mrr	∂mrr	X
ejpam-4549	371	3	∂r	∂r	ADJ
ejpam-4549	371	4	+	+	CCONJ
ejpam-4549	371	5	2	2	NUM
ejpam-4549	371	6	r	r	NOUN
ejpam-4549	371	7	mrr	mrr	NOUN
ejpam-4549	371	8	+	+	CCONJ
ejpam-4549	371	9	cot	cot	NOUN
ejpam-4549	371	10	θ	θ	NOUN
ejpam-4549	371	11	r	r	NOUN
ejpam-4549	371	12	mθr	mθr	NOUN
ejpam-4549	371	13	+	+	CCONJ
ejpam-4549	371	14	1	1	NUM
ejpam-4549	371	15	r	r	NOUN
ejpam-4549	371	16	∂mθr	∂mθr	PUNCT
ejpam-4549	371	17	∂θ	∂θ	PROPN
ejpam-4549	372	1	+	+	CCONJ
ejpam-4549	372	2	1	1	NUM
ejpam-4549	372	3	r	r	NOUN
ejpam-4549	372	4	sin	sin	NOUN
ejpam-4549	372	5	θ	θ	NOUN
ejpam-4549	372	6	∂mϕr	∂mϕr	AUX
ejpam-4549	372	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	372	8	−	−	PROPN
ejpam-4549	372	9	mθθr	mθθr	VERB
ejpam-4549	372	10	r	r	NOUN
ejpam-4549	372	11	−	−	NOUN
ejpam-4549	372	12	mϕϕ	mϕϕ	NOUN
ejpam-4549	372	13	r	r	NOUN
ejpam-4549	372	14	]	]	PUNCT
ejpam-4549	372	15	,	,	PUNCT
ejpam-4549	372	16	=	=	PRON
ejpam-4549	372	17	(	(	PUNCT
ejpam-4549	372	18	e⃗re⃗ϕ	e⃗re⃗ϕ	VERB
ejpam-4549	372	19	−	−	PROPN
ejpam-4549	372	20	e⃗ϕe⃗r	e⃗ϕe⃗r	PROPN
ejpam-4549	372	21	)	)	PUNCT
ejpam-4549	373	1	[	[	X
ejpam-4549	373	2	∂mrθ	∂mrθ	NOUN
ejpam-4549	373	3	∂r	∂r	ADJ
ejpam-4549	373	4	+	+	CCONJ
ejpam-4549	373	5	2	2	NUM
ejpam-4549	373	6	r	r	NOUN
ejpam-4549	373	7	mrθ	mrθ	NOUN
ejpam-4549	373	8	+	+	CCONJ
ejpam-4549	373	9	cot	cot	NOUN
ejpam-4549	373	10	θ	θ	NOUN
ejpam-4549	373	11	r	r	NOUN
ejpam-4549	373	12	mθθ	mθθ	NOUN
ejpam-4549	373	13	+	+	CCONJ
ejpam-4549	373	14	1	1	NUM
ejpam-4549	373	15	r	r	NOUN
ejpam-4549	373	16	∂mθθ	∂mθθ	PUNCT
ejpam-4549	373	17	∂θ	∂θ	NOUN
ejpam-4549	374	1	+	+	CCONJ
ejpam-4549	374	2	1	1	NUM
ejpam-4549	374	3	r	r	NOUN
ejpam-4549	374	4	sin	sin	NOUN
ejpam-4549	374	5	θ	θ	PROPN
ejpam-4549	374	6	∂mϕθ	∂mϕθ	PUNCT
ejpam-4549	374	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	374	8	+	+	NUM
ejpam-4549	374	9	mθr	mθr	NOUN
ejpam-4549	374	10	r	r	NOUN
ejpam-4549	374	11	+	+	CCONJ
ejpam-4549	374	12	cot	cot	NOUN
ejpam-4549	374	13	θ	θ	NOUN
ejpam-4549	374	14	r	r	NOUN
ejpam-4549	374	15	mϕϕ	mϕϕ	NOUN
ejpam-4549	374	16	]	]	PUNCT
ejpam-4549	374	17	,	,	PUNCT
ejpam-4549	374	18	+	+	CCONJ
ejpam-4549	374	19	(	(	PUNCT
ejpam-4549	374	20	−e⃗re⃗θ	−e⃗re⃗θ	VERB
ejpam-4549	374	21	+	+	NUM
ejpam-4549	374	22	e⃗θe⃗r	e⃗θe⃗r	NOUN
ejpam-4549	374	23	)	)	PUNCT
ejpam-4549	374	24	[	[	X
ejpam-4549	374	25	∂mrϕ	∂mrϕ	X
ejpam-4549	374	26	∂r	∂r	NOUN
ejpam-4549	374	27	+	+	CCONJ
ejpam-4549	374	28	2	2	NUM
ejpam-4549	374	29	r	r	NOUN
ejpam-4549	374	30	mrϕ	mrϕ	NOUN
ejpam-4549	374	31	+	+	CCONJ
ejpam-4549	374	32	cot	cot	NOUN
ejpam-4549	374	33	θ	θ	NOUN
ejpam-4549	374	34	r	r	NOUN
ejpam-4549	374	35	mθϕ	mθϕ	NOUN
ejpam-4549	374	36	+	+	CCONJ
ejpam-4549	374	37	1	1	NUM
ejpam-4549	374	38	r	r	NOUN
ejpam-4549	374	39	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	375	1	∂θ	∂θ	NOUN
ejpam-4549	376	1	+	+	CCONJ
ejpam-4549	376	2	1	1	NUM
ejpam-4549	376	3	r	r	NOUN
ejpam-4549	376	4	sin	sin	NOUN
ejpam-4549	376	5	θ	θ	PROPN
ejpam-4549	376	6	∂mϕϕ	∂mϕϕ	NOUN
ejpam-4549	376	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	376	8	+	+	NUM
ejpam-4549	376	9	mϕr	mϕr	ADJ
ejpam-4549	376	10	r	r	NOUN
ejpam-4549	376	11	+	+	CCONJ
ejpam-4549	376	12	cot	cot	NOUN
ejpam-4549	376	13	θ	θ	NOUN
ejpam-4549	376	14	r	r	NOUN
ejpam-4549	376	15	mϕθ	mϕθ	NOUN
ejpam-4549	376	16	]	]	PUNCT
ejpam-4549	376	17	.	.	PUNCT
ejpam-4549	377	1	(	(	PUNCT
ejpam-4549	377	2	a.4	a.4	X
ejpam-4549	377	3	):	):	PUNCT
ejpam-4549	377	4	the	the	DET
ejpam-4549	377	5	stresses	stress	NOUN
ejpam-4549	377	6	are	be	AUX
ejpam-4549	377	7	trr	trr	NOUN
ejpam-4549	377	8	=	=	SYM
ejpam-4549	377	9	−p	−p	NOUN
ejpam-4549	377	10	+	+	CCONJ
ejpam-4549	377	11	2µerr	2µerr	NUM
ejpam-4549	377	12	,	,	PUNCT
ejpam-4549	377	13	(	(	PUNCT
ejpam-4549	377	14	50	50	NUM
ejpam-4549	377	15	)	)	PUNCT
ejpam-4549	377	16	trθ	trθ	NOUN
ejpam-4549	377	17	=	=	SYM
ejpam-4549	378	1	2µerθ	2µerθ	NUM
ejpam-4549	378	2	−	−	NUM
ejpam-4549	378	3	1	1	NUM
ejpam-4549	378	4	2	2	NUM
ejpam-4549	378	5	[	[	NOUN
ejpam-4549	378	6	∂mrϕ	∂mrϕ	X
ejpam-4549	378	7	∂r	∂r	NOUN
ejpam-4549	378	8	+	+	CCONJ
ejpam-4549	378	9	2	2	NUM
ejpam-4549	378	10	r	r	NOUN
ejpam-4549	378	11	mrϕ	mrϕ	NOUN
ejpam-4549	378	12	+	+	CCONJ
ejpam-4549	378	13	cot	cot	NOUN
ejpam-4549	378	14	θ	θ	NOUN
ejpam-4549	378	15	r	r	NOUN
ejpam-4549	378	16	mθϕ	mθϕ	NOUN
ejpam-4549	378	17	+	+	CCONJ
ejpam-4549	378	18	1	1	NUM
ejpam-4549	378	19	r	r	NOUN
ejpam-4549	378	20	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	379	1	∂θ	∂θ	NOUN
ejpam-4549	380	1	+	+	CCONJ
ejpam-4549	380	2	1	1	NUM
ejpam-4549	380	3	r	r	NOUN
ejpam-4549	380	4	sin	sin	NOUN
ejpam-4549	380	5	θ	θ	PROPN
ejpam-4549	380	6	∂mϕϕ	∂mϕϕ	NOUN
ejpam-4549	380	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	380	8	+	+	NUM
ejpam-4549	380	9	mϕr	mϕr	ADJ
ejpam-4549	380	10	r	r	NOUN
ejpam-4549	380	11	+	+	CCONJ
ejpam-4549	380	12	cot	cot	NOUN
ejpam-4549	380	13	θ	θ	NOUN
ejpam-4549	380	14	r	r	NOUN
ejpam-4549	380	15	mϕθ	mϕθ	NOUN
ejpam-4549	380	16	]	]	PUNCT
ejpam-4549	380	17	,	,	PUNCT
ejpam-4549	380	18	(	(	PUNCT
ejpam-4549	380	19	51	51	NUM
ejpam-4549	380	20	)	)	PUNCT
ejpam-4549	380	21	appendix	appendix	VERB
ejpam-4549	380	22	1583	1583	NUM
ejpam-4549	380	23	trϕ	trϕ	NOUN
ejpam-4549	380	24	=	=	PUNCT
ejpam-4549	381	1	2µerϕ	2µerϕ	NUM
ejpam-4549	381	2	+	+	CCONJ
ejpam-4549	381	3	1	1	NUM
ejpam-4549	381	4	2	2	NUM
ejpam-4549	381	5	[	[	NOUN
ejpam-4549	381	6	∂mrθ	∂mrθ	NOUN
ejpam-4549	381	7	∂r	∂r	ADJ
ejpam-4549	381	8	+	+	CCONJ
ejpam-4549	381	9	2	2	NUM
ejpam-4549	381	10	r	r	NOUN
ejpam-4549	381	11	mrθ	mrθ	NOUN
ejpam-4549	381	12	+	+	CCONJ
ejpam-4549	381	13	cot	cot	NOUN
ejpam-4549	381	14	θ	θ	NOUN
ejpam-4549	381	15	r	r	NOUN
ejpam-4549	381	16	mθθ	mθθ	NOUN
ejpam-4549	381	17	+	+	CCONJ
ejpam-4549	381	18	1	1	NUM
ejpam-4549	381	19	r	r	NOUN
ejpam-4549	381	20	∂mθθ	∂mθθ	PUNCT
ejpam-4549	381	21	∂θ	∂θ	NOUN
ejpam-4549	382	1	+	+	CCONJ
ejpam-4549	382	2	1	1	NUM
ejpam-4549	382	3	r	r	NOUN
ejpam-4549	382	4	sin	sin	NOUN
ejpam-4549	382	5	θ	θ	PROPN
ejpam-4549	382	6	∂mϕθ	∂mϕθ	PUNCT
ejpam-4549	382	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	382	8	+	+	NUM
ejpam-4549	382	9	mθr	mθr	NOUN
ejpam-4549	382	10	r	r	NOUN
ejpam-4549	382	11	+	+	CCONJ
ejpam-4549	382	12	cot	cot	NOUN
ejpam-4549	382	13	θ	θ	NOUN
ejpam-4549	382	14	r	r	NOUN
ejpam-4549	382	15	mϕϕ	mϕϕ	NOUN
ejpam-4549	382	16	]	]	PUNCT
ejpam-4549	382	17	,	,	PUNCT
ejpam-4549	382	18	(	(	PUNCT
ejpam-4549	382	19	52	52	NUM
ejpam-4549	382	20	)	)	PUNCT
ejpam-4549	382	21	tθr	tθr	X
ejpam-4549	383	1	=	=	PUNCT
ejpam-4549	383	2	2µeθr	2µeθr	NUM
ejpam-4549	384	1	+	+	CCONJ
ejpam-4549	384	2	1	1	NUM
ejpam-4549	384	3	2	2	NUM
ejpam-4549	384	4	[	[	NOUN
ejpam-4549	384	5	∂mrϕ	∂mrϕ	X
ejpam-4549	385	1	∂r	∂r	NOUN
ejpam-4549	385	2	+	+	CCONJ
ejpam-4549	385	3	2	2	NUM
ejpam-4549	385	4	r	r	NOUN
ejpam-4549	385	5	mrϕ	mrϕ	NOUN
ejpam-4549	385	6	+	+	CCONJ
ejpam-4549	385	7	cot	cot	NOUN
ejpam-4549	385	8	θ	θ	NOUN
ejpam-4549	385	9	r	r	NOUN
ejpam-4549	385	10	mθϕ	mθϕ	NOUN
ejpam-4549	385	11	+	+	CCONJ
ejpam-4549	385	12	1	1	NUM
ejpam-4549	385	13	r	r	NOUN
ejpam-4549	385	14	∂mθϕ	∂mθϕ	NOUN
ejpam-4549	386	1	∂θ	∂θ	NOUN
ejpam-4549	387	1	+	+	CCONJ
ejpam-4549	387	2	1	1	NUM
ejpam-4549	387	3	r	r	NOUN
ejpam-4549	387	4	sin	sin	NOUN
ejpam-4549	387	5	θ	θ	PROPN
ejpam-4549	387	6	∂mϕϕ	∂mϕϕ	NOUN
ejpam-4549	387	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	387	8	+	+	NUM
ejpam-4549	387	9	mϕr	mϕr	ADJ
ejpam-4549	387	10	r	r	NOUN
ejpam-4549	387	11	+	+	CCONJ
ejpam-4549	387	12	cot	cot	NOUN
ejpam-4549	387	13	θ	θ	NOUN
ejpam-4549	387	14	r	r	NOUN
ejpam-4549	387	15	mϕθ	mϕθ	NOUN
ejpam-4549	387	16	]	]	PUNCT
ejpam-4549	387	17	,	,	PUNCT
ejpam-4549	387	18	(	(	PUNCT
ejpam-4549	387	19	53	53	NUM
ejpam-4549	387	20	)	)	PUNCT
ejpam-4549	387	21	tθθ	tθθ	NOUN
ejpam-4549	387	22	=	=	PUNCT
ejpam-4549	387	23	−p+	−p+	PROPN
ejpam-4549	387	24	2µeθθ	2µeθθ	NUM
ejpam-4549	387	25	,	,	PUNCT
ejpam-4549	387	26	(	(	PUNCT
ejpam-4549	387	27	54	54	NUM
ejpam-4549	387	28	)	)	PUNCT
ejpam-4549	387	29	tθϕ	tθϕ	NOUN
ejpam-4549	388	1	=	=	SYM
ejpam-4549	389	1	2µeθϕ	2µeθϕ	NUM
ejpam-4549	389	2	−	−	NUM
ejpam-4549	389	3	1	1	NUM
ejpam-4549	389	4	2	2	NUM
ejpam-4549	389	5	[	[	X
ejpam-4549	389	6	∂mrr	∂mrr	PUNCT
ejpam-4549	389	7	∂r	∂r	ADJ
ejpam-4549	389	8	+	+	CCONJ
ejpam-4549	389	9	2	2	NUM
ejpam-4549	389	10	r	r	NOUN
ejpam-4549	389	11	mrr	mrr	NOUN
ejpam-4549	389	12	+	+	CCONJ
ejpam-4549	389	13	cot	cot	NOUN
ejpam-4549	389	14	θ	θ	NOUN
ejpam-4549	389	15	r	r	NOUN
ejpam-4549	389	16	mθr	mθr	NOUN
ejpam-4549	389	17	+	+	CCONJ
ejpam-4549	389	18	1	1	NUM
ejpam-4549	389	19	r	r	NOUN
ejpam-4549	389	20	∂mθr	∂mθr	PUNCT
ejpam-4549	389	21	∂θ	∂θ	PROPN
ejpam-4549	390	1	+	+	CCONJ
ejpam-4549	390	2	1	1	NUM
ejpam-4549	390	3	r	r	NOUN
ejpam-4549	390	4	sin	sin	NOUN
ejpam-4549	390	5	θ	θ	NOUN
ejpam-4549	390	6	∂mϕr	∂mϕr	AUX
ejpam-4549	390	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	390	8	−	−	PROPN
ejpam-4549	390	9	mθθr	mθθr	VERB
ejpam-4549	390	10	r	r	NOUN
ejpam-4549	390	11	−	−	NOUN
ejpam-4549	390	12	mϕϕ	mϕϕ	NOUN
ejpam-4549	390	13	r	r	NOUN
ejpam-4549	390	14	]	]	PUNCT
ejpam-4549	390	15	,	,	PUNCT
ejpam-4549	390	16	(	(	PUNCT
ejpam-4549	390	17	55	55	NUM
ejpam-4549	390	18	)	)	PUNCT
ejpam-4549	390	19	tϕr	tϕr	NOUN
ejpam-4549	391	1	=	=	SYM
ejpam-4549	391	2	2µeθr	2µeθr	NUM
ejpam-4549	391	3	−	−	NOUN
ejpam-4549	391	4	1	1	NUM
ejpam-4549	391	5	2	2	NUM
ejpam-4549	392	1	[	[	X
ejpam-4549	392	2	∂mrθ	∂mrθ	NOUN
ejpam-4549	393	1	∂r	∂r	ADJ
ejpam-4549	393	2	+	+	CCONJ
ejpam-4549	393	3	2	2	NUM
ejpam-4549	393	4	r	r	NOUN
ejpam-4549	393	5	mrθ	mrθ	NOUN
ejpam-4549	393	6	+	+	CCONJ
ejpam-4549	393	7	cot	cot	NOUN
ejpam-4549	393	8	θ	θ	NOUN
ejpam-4549	393	9	r	r	NOUN
ejpam-4549	393	10	mθθ	mθθ	NOUN
ejpam-4549	393	11	+	+	CCONJ
ejpam-4549	393	12	1	1	NUM
ejpam-4549	393	13	r	r	NOUN
ejpam-4549	393	14	∂mθθ	∂mθθ	PUNCT
ejpam-4549	393	15	∂θ	∂θ	NOUN
ejpam-4549	394	1	+	+	CCONJ
ejpam-4549	394	2	1	1	NUM
ejpam-4549	394	3	r	r	NOUN
ejpam-4549	394	4	sin	sin	NOUN
ejpam-4549	394	5	θ	θ	PROPN
ejpam-4549	394	6	∂mϕθ	∂mϕθ	PUNCT
ejpam-4549	394	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	394	8	+	+	NUM
ejpam-4549	394	9	mθr	mθr	NOUN
ejpam-4549	394	10	r	r	NOUN
ejpam-4549	394	11	+	+	CCONJ
ejpam-4549	394	12	cot	cot	NOUN
ejpam-4549	394	13	θ	θ	NOUN
ejpam-4549	394	14	r	r	NOUN
ejpam-4549	394	15	mϕϕ	mϕϕ	NOUN
ejpam-4549	394	16	]	]	PUNCT
ejpam-4549	394	17	,	,	PUNCT
ejpam-4549	394	18	(	(	PUNCT
ejpam-4549	394	19	56	56	NUM
ejpam-4549	394	20	)	)	PUNCT
ejpam-4549	394	21	tϕθ	tϕθ	NOUN
ejpam-4549	395	1	=	=	SYM
ejpam-4549	396	1	2µeθθ	2µeθθ	NUM
ejpam-4549	396	2	+	+	CCONJ
ejpam-4549	396	3	1	1	NUM
ejpam-4549	396	4	2	2	NUM
ejpam-4549	396	5	[	[	X
ejpam-4549	396	6	∂mrr	∂mrr	PUNCT
ejpam-4549	396	7	∂r	∂r	ADJ
ejpam-4549	396	8	+	+	CCONJ
ejpam-4549	396	9	2	2	NUM
ejpam-4549	396	10	r	r	NOUN
ejpam-4549	396	11	mrr	mrr	NOUN
ejpam-4549	396	12	+	+	CCONJ
ejpam-4549	396	13	cot	cot	NOUN
ejpam-4549	396	14	θ	θ	NOUN
ejpam-4549	396	15	r	r	NOUN
ejpam-4549	396	16	mθr	mθr	NOUN
ejpam-4549	396	17	+	+	CCONJ
ejpam-4549	396	18	1	1	NUM
ejpam-4549	396	19	r	r	NOUN
ejpam-4549	396	20	∂mθr	∂mθr	PUNCT
ejpam-4549	396	21	∂θ	∂θ	PROPN
ejpam-4549	397	1	+	+	CCONJ
ejpam-4549	397	2	1	1	NUM
ejpam-4549	397	3	r	r	NOUN
ejpam-4549	397	4	sin	sin	NOUN
ejpam-4549	397	5	θ	θ	NOUN
ejpam-4549	397	6	∂mϕr	∂mϕr	AUX
ejpam-4549	397	7	∂ϕ	∂ϕ	PROPN
ejpam-4549	397	8	−	−	PROPN
ejpam-4549	397	9	mθθr	mθθr	VERB
ejpam-4549	397	10	r	r	NOUN
ejpam-4549	397	11	−	−	NOUN
ejpam-4549	397	12	mϕϕ	mϕϕ	NOUN
ejpam-4549	397	13	r	r	NOUN
ejpam-4549	397	14	]	]	PUNCT
ejpam-4549	397	15	,	,	PUNCT
ejpam-4549	397	16	(	(	PUNCT
ejpam-4549	397	17	57	57	NUM
ejpam-4549	397	18	)	)	PUNCT
ejpam-4549	397	19	tθθ	tθθ	NOUN
ejpam-4549	397	20	=	=	SYM
ejpam-4549	397	21	−p+	−p+	NOUN
ejpam-4549	397	22	2µeϕϕ.	2µeϕϕ.	NUM
ejpam-4549	397	23	(	(	PUNCT
ejpam-4549	397	24	58	58	NUM
ejpam-4549	397	25	)	)	PUNCT
ejpam-4549	397	26	appendix	appendix	VERB
ejpam-4549	397	27	1584	1584	NUM
ejpam-4549	397	28	(	(	PUNCT
ejpam-4549	397	29	a	a	X
ejpam-4549	397	30	)	)	PUNCT
ejpam-4549	397	31	β1	β1	NOUN
ejpam-4549	397	32	aµ	aµ	PROPN
ejpam-4549	397	33	=	=	PRON
ejpam-4549	397	34	aβ2	aβ2	VERB
ejpam-4549	397	35	µ	µ	X
ejpam-4549	397	36	=	=	SYM
ejpam-4549	397	37	0.001	0.001	NUM
ejpam-4549	397	38	(	(	PUNCT
ejpam-4549	397	39	b	b	NOUN
ejpam-4549	397	40	)	)	PUNCT
ejpam-4549	397	41	β1	β1	NOUN
ejpam-4549	397	42	aµ	aµ	PROPN
ejpam-4549	397	43	=	=	PRON
ejpam-4549	397	44	aβ2	aβ2	VERB
ejpam-4549	398	1	µ	µ	X
ejpam-4549	398	2	=	=	SYM
ejpam-4549	398	3	1.0	1.0	NUM
ejpam-4549	398	4	(	(	PUNCT
ejpam-4549	398	5	c	c	NOUN
ejpam-4549	398	6	)	)	PUNCT
ejpam-4549	398	7	β1	β1	NOUN
ejpam-4549	398	8	aµ	aµ	PROPN
ejpam-4549	398	9	=	=	PRON
ejpam-4549	398	10	aβ2	aβ2	VERB
ejpam-4549	398	11	µ	µ	X
ejpam-4549	398	12	=	=	SYM
ejpam-4549	398	13	10.0	10.0	NUM
ejpam-4549	398	14	(	(	PUNCT
ejpam-4549	398	15	d	d	NOUN
ejpam-4549	398	16	)	)	PUNCT
ejpam-4549	398	17	β1	β1	NOUN
ejpam-4549	398	18	aµ	aµ	PROPN
ejpam-4549	398	19	=	=	PRON
ejpam-4549	398	20	aβ2	aβ2	VERB
ejpam-4549	398	21	µ	µ	X
ejpam-4549	398	22	→	→	SYM
ejpam-4549	398	23	∞	∞	NUM
ejpam-4549	398	24	figure	figure	NOUN
ejpam-4549	398	25	2	2	NUM
ejpam-4549	398	26	:	:	PUNCT
ejpam-4549	398	27	normalized	normalize	VERB
ejpam-4549	398	28	drag	drag	NOUN
ejpam-4549	398	29	force	force	NOUN
ejpam-4549	398	30	exerted	exert	VERB
ejpam-4549	398	31	on	on	ADP
ejpam-4549	398	32	a	a	DET
ejpam-4549	398	33	rigid	rigid	ADJ
ejpam-4549	398	34	sphere	sphere	NOUN
ejpam-4549	398	35	of	of	ADP
ejpam-4549	398	36	a	a	DET
ejpam-4549	398	37	unit	unit	NOUN
ejpam-4549	398	38	radius	radius	NOUN
ejpam-4549	398	39	for	for	ADP
ejpam-4549	398	40	various	various	ADJ
ejpam-4549	398	41	values	value	NOUN
ejpam-4549	398	42	of	of	ADP
ejpam-4549	398	43	the	the	DET
ejpam-4549	398	44	slip	slip	NOUN
ejpam-4549	398	45	and	and	CCONJ
ejpam-4549	398	46	spin	spin	VERB
ejpam-4549	398	47	slip	slip	NOUN
ejpam-4549	398	48	,	,	PUNCT
ejpam-4549	398	49	permeability	permeability	NOUN
ejpam-4549	398	50	,	,	PUNCT
ejpam-4549	398	51	and	and	CCONJ
ejpam-4549	398	52	the	the	DET
ejpam-4549	398	53	couple	couple	NOUN
ejpam-4549	398	54	stress	stress	NOUN
ejpam-4549	398	55	parameter	parameter	NOUN
ejpam-4549	398	56	with	with	ADP
ejpam-4549	398	57	ζ	ζ	NOUN
ejpam-4549	398	58	′	′	NUM
ejpam-4549	398	59	=	=	NOUN
ejpam-4549	398	60	0.01	0.01	NUM
ejpam-4549	398	61	.	.	PUNCT
ejpam-4549	399	1	appendix	appendix	VERB
ejpam-4549	399	2	1585	1585	NUM
ejpam-4549	399	3	(	(	PUNCT
ejpam-4549	399	4	a	a	X
ejpam-4549	399	5	)	)	PUNCT
ejpam-4549	399	6	β1	β1	NOUN
ejpam-4549	399	7	aµ	aµ	PROPN
ejpam-4549	399	8	=	=	PRON
ejpam-4549	399	9	aβ2	aβ2	VERB
ejpam-4549	399	10	µ	µ	X
ejpam-4549	399	11	=	=	SYM
ejpam-4549	399	12	0.001	0.001	NUM
ejpam-4549	399	13	(	(	PUNCT
ejpam-4549	399	14	b	b	NOUN
ejpam-4549	399	15	)	)	PUNCT
ejpam-4549	399	16	β1	β1	NOUN
ejpam-4549	399	17	aµ	aµ	PROPN
ejpam-4549	399	18	=	=	PRON
ejpam-4549	399	19	aβ2	aβ2	VERB
ejpam-4549	399	20	µ	µ	X
ejpam-4549	399	21	=	=	SYM
ejpam-4549	399	22	1.0	1.0	NUM
ejpam-4549	399	23	(	(	PUNCT
ejpam-4549	399	24	c	c	NOUN
ejpam-4549	399	25	)	)	PUNCT
ejpam-4549	399	26	β1	β1	NOUN
ejpam-4549	399	27	aµ	aµ	PROPN
ejpam-4549	399	28	=	=	PRON
ejpam-4549	399	29	aβ2	aβ2	VERB
ejpam-4549	399	30	µ	µ	X
ejpam-4549	399	31	=	=	SYM
ejpam-4549	399	32	10.0	10.0	NUM
ejpam-4549	399	33	(	(	PUNCT
ejpam-4549	399	34	d	d	NOUN
ejpam-4549	399	35	)	)	PUNCT
ejpam-4549	399	36	β1	β1	NOUN
ejpam-4549	399	37	aµ	aµ	PROPN
ejpam-4549	399	38	=	=	PRON
ejpam-4549	399	39	aβ2	aβ2	VERB
ejpam-4549	399	40	µ	µ	X
ejpam-4549	399	41	→	→	SYM
ejpam-4549	399	42	∞	∞	NUM
ejpam-4549	399	43	figure	figure	NOUN
ejpam-4549	399	44	3	3	NUM
ejpam-4549	399	45	:	:	PUNCT
ejpam-4549	399	46	normalized	normalize	VERB
ejpam-4549	399	47	drag	drag	NOUN
ejpam-4549	399	48	force	force	NOUN
ejpam-4549	399	49	exerted	exert	VERB
ejpam-4549	399	50	on	on	ADP
ejpam-4549	399	51	a	a	DET
ejpam-4549	399	52	rigid	rigid	ADJ
ejpam-4549	399	53	sphere	sphere	NOUN
ejpam-4549	399	54	of	of	ADP
ejpam-4549	399	55	a	a	DET
ejpam-4549	399	56	unit	unit	NOUN
ejpam-4549	399	57	radius	radius	NOUN
ejpam-4549	399	58	for	for	ADP
ejpam-4549	399	59	various	various	ADJ
ejpam-4549	399	60	values	value	NOUN
ejpam-4549	399	61	of	of	ADP
ejpam-4549	399	62	the	the	DET
ejpam-4549	399	63	spin	spin	NOUN
ejpam-4549	399	64	slip	slip	NOUN
ejpam-4549	399	65	,	,	PUNCT
ejpam-4549	399	66	permeability	permeability	NOUN
ejpam-4549	399	67	,	,	PUNCT
ejpam-4549	399	68	and	and	CCONJ
ejpam-4549	399	69	the	the	DET
ejpam-4549	399	70	couple	couple	NOUN
ejpam-4549	399	71	stress	stress	NOUN
ejpam-4549	399	72	parameter	parameter	NOUN
ejpam-4549	399	73	with	with	ADP
ejpam-4549	399	74	ζ	ζ	NOUN
ejpam-4549	399	75	′	′	NUM
ejpam-4549	399	76	=	=	NOUN
ejpam-4549	399	77	0.1	0.1	NUM
ejpam-4549	399	78	.	.	PUNCT
ejpam-4549	400	1	appendix	appendix	VERB
ejpam-4549	400	2	1586	1586	NUM
ejpam-4549	400	3	figure	figure	NOUN
ejpam-4549	400	4	4	4	NUM
ejpam-4549	400	5	:	:	PUNCT
ejpam-4549	400	6	normal	normal	ADJ
ejpam-4549	400	7	velocity	velocity	NOUN
ejpam-4549	400	8	distribution	distribution	NOUN
ejpam-4549	400	9	for	for	ADP
ejpam-4549	400	10	partial	partial	ADJ
ejpam-4549	400	11	slip	slip	NOUN
ejpam-4549	400	12	and	and	CCONJ
ejpam-4549	400	13	partial	partial	ADJ
ejpam-4549	400	14	spin	spin	NOUN
ejpam-4549	400	15	slip	slip	NOUN
ejpam-4549	400	16	for	for	ADP
ejpam-4549	400	17	various	various	ADJ
ejpam-4549	400	18	values	value	NOUN
ejpam-4549	400	19	of	of	ADP
ejpam-4549	400	20	the	the	DET
ejpam-4549	400	21	permeability	permeability	NOUN
ejpam-4549	400	22	and	and	CCONJ
ejpam-4549	400	23	ζ	ζ	NOUN
ejpam-4549	400	24	=	=	SYM
ejpam-4549	400	25	3.0	3.0	NUM
ejpam-4549	400	26	,	,	PUNCT
ejpam-4549	400	27	ζ	ζ	NOUN
ejpam-4549	400	28	′	′	NOUN
ejpam-4549	400	29	=	=	NOUN
ejpam-4549	400	30	0.01	0.01	NUM
ejpam-4549	400	31	,	,	PUNCT
ejpam-4549	400	32	β1	β1	PROPN
ejpam-4549	400	33	aµ	aµ	PROPN
ejpam-4549	400	34	=	=	PRON
ejpam-4549	400	35	aβ2	aβ2	VERB
ejpam-4549	400	36	µ	µ	X
ejpam-4549	400	37	=	=	SYM
ejpam-4549	400	38	2.0	2.0	NUM
ejpam-4549	400	39	figure	figure	NOUN
ejpam-4549	400	40	5	5	NUM
ejpam-4549	400	41	:	:	PUNCT
ejpam-4549	400	42	tangential	tangential	ADJ
ejpam-4549	400	43	velocity	velocity	NOUN
ejpam-4549	400	44	distribution	distribution	NOUN
ejpam-4549	400	45	for	for	ADP
ejpam-4549	400	46	partial	partial	ADJ
ejpam-4549	400	47	slip	slip	NOUN
ejpam-4549	400	48	and	and	CCONJ
ejpam-4549	400	49	partial	partial	ADJ
ejpam-4549	400	50	spin	spin	NOUN
ejpam-4549	400	51	slip	slip	NOUN
ejpam-4549	400	52	for	for	ADP
ejpam-4549	400	53	various	various	ADJ
ejpam-4549	400	54	values	value	NOUN
ejpam-4549	400	55	of	of	ADP
ejpam-4549	400	56	the	the	DET
ejpam-4549	400	57	permeability	permeability	NOUN
ejpam-4549	400	58	and	and	CCONJ
ejpam-4549	400	59	ζ	ζ	NOUN
ejpam-4549	400	60	=	=	SYM
ejpam-4549	400	61	3.0	3.0	NUM
ejpam-4549	400	62	,	,	PUNCT
ejpam-4549	400	63	ζ	ζ	NOUN
ejpam-4549	400	64	′	′	NOUN
ejpam-4549	400	65	=	=	NOUN
ejpam-4549	400	66	0.01	0.01	NUM
ejpam-4549	400	67	,	,	PUNCT
ejpam-4549	400	68	β1	β1	PROPN
ejpam-4549	400	69	aµ	aµ	PROPN
ejpam-4549	400	70	=	=	PRON
ejpam-4549	400	71	aβ2	aβ2	VERB
ejpam-4549	400	72	µ	µ	X
ejpam-4549	400	73	=	=	SYM
ejpam-4549	400	74	2.0	2.0	NUM
ejpam-4549	400	75	appendix	appendix	ADJ
ejpam-4549	400	76	1587	1587	NUM
ejpam-4549	400	77	figure	figure	NOUN
ejpam-4549	400	78	6	6	NUM
ejpam-4549	400	79	:	:	PUNCT
ejpam-4549	400	80	normalized	normalize	VERB
ejpam-4549	400	81	drag	drag	NOUN
ejpam-4549	400	82	force	force	NOUN
ejpam-4549	400	83	exerted	exert	VERB
ejpam-4549	400	84	on	on	ADP
ejpam-4549	400	85	a	a	DET
ejpam-4549	400	86	rigid	rigid	ADJ
ejpam-4549	400	87	sphere	sphere	NOUN
ejpam-4549	400	88	of	of	ADP
ejpam-4549	400	89	a	a	DET
ejpam-4549	400	90	unit	unit	NOUN
ejpam-4549	400	91	radius	radius	NOUN
ejpam-4549	400	92	for	for	ADP
ejpam-4549	400	93	no	no	DET
ejpam-4549	400	94	-	-	PUNCT
ejpam-4549	400	95	slip	slip	NOUN
ejpam-4549	400	96	and	and	CCONJ
ejpam-4549	400	97	no	no	DET
ejpam-4549	400	98	-	-	PUNCT
ejpam-4549	400	99	spin	spin	NOUN
ejpam-4549	400	100	slip	slip	NOUN
ejpam-4549	400	101	for	for	ADP
ejpam-4549	400	102	various	various	ADJ
ejpam-4549	400	103	values	value	NOUN
ejpam-4549	400	104	of	of	ADP
ejpam-4549	400	105	the	the	DET
ejpam-4549	400	106	permeability	permeability	NOUN
ejpam-4549	400	107	and	and	CCONJ
ejpam-4549	400	108	the	the	DET
ejpam-4549	400	109	couple	couple	NOUN
ejpam-4549	400	110	stress	stress	NOUN
ejpam-4549	400	111	parameter	parameter	NOUN
ejpam-4549	400	112	.	.	PUNCT
ejpam-4549	401	1	figure	figure	VERB
ejpam-4549	401	2	7	7	NUM
ejpam-4549	401	3	:	:	PUNCT
ejpam-4549	401	4	normal	normal	ADJ
ejpam-4549	401	5	velocity	velocity	NOUN
ejpam-4549	401	6	distribution	distribution	NOUN
ejpam-4549	401	7	for	for	ADP
ejpam-4549	401	8	no	no	DET
ejpam-4549	401	9	-	-	PUNCT
ejpam-4549	401	10	slip	slip	NOUN
ejpam-4549	401	11	and	and	CCONJ
ejpam-4549	401	12	no	no	DET
ejpam-4549	401	13	-	-	PUNCT
ejpam-4549	401	14	spin	spin	NOUN
ejpam-4549	401	15	slip	slip	NOUN
ejpam-4549	401	16	for	for	ADP
ejpam-4549	401	17	various	various	ADJ
ejpam-4549	401	18	values	value	NOUN
ejpam-4549	401	19	of	of	ADP
ejpam-4549	401	20	the	the	DET
ejpam-4549	401	21	permeability	permeability	NOUN
ejpam-4549	401	22	and	and	CCONJ
ejpam-4549	401	23	the	the	DET
ejpam-4549	401	24	couple	couple	NOUN
ejpam-4549	401	25	stress	stress	NOUN
ejpam-4549	401	26	parameter	parameter	NOUN
ejpam-4549	401	27	,	,	PUNCT
ejpam-4549	401	28	ζ	ζ	NOUN
ejpam-4549	401	29	=	=	SYM
ejpam-4549	401	30	1.0	1.0	NUM
ejpam-4549	401	31	.	.	PUNCT
ejpam-4549	402	1	appendix	appendix	VERB
ejpam-4549	402	2	1588	1588	NUM
ejpam-4549	402	3	figure	figure	NOUN
ejpam-4549	402	4	8	8	NUM
ejpam-4549	402	5	:	:	PUNCT
ejpam-4549	402	6	tangential	tangential	ADJ
ejpam-4549	402	7	velocity	velocity	NOUN
ejpam-4549	402	8	distribution	distribution	NOUN
ejpam-4549	402	9	of	of	ADP
ejpam-4549	402	10	a	a	DET
ejpam-4549	402	11	rigid	rigid	ADJ
ejpam-4549	402	12	sphere	sphere	NOUN
ejpam-4549	402	13	of	of	ADP
ejpam-4549	402	14	a	a	DET
ejpam-4549	402	15	unit	unit	NOUN
ejpam-4549	402	16	radius	radius	NOUN
ejpam-4549	402	17	for	for	ADP
ejpam-4549	402	18	no	no	DET
ejpam-4549	402	19	-	-	PUNCT
ejpam-4549	402	20	slip	slip	NOUN
ejpam-4549	402	21	and	and	CCONJ
ejpam-4549	402	22	no	no	DET
ejpam-4549	402	23	-	-	PUNCT
ejpam-4549	402	24	spin	spin	NOUN
ejpam-4549	402	25	slip	slip	NOUN
ejpam-4549	402	26	for	for	ADP
ejpam-4549	402	27	various	various	ADJ
ejpam-4549	402	28	values	value	NOUN
ejpam-4549	402	29	of	of	ADP
ejpam-4549	402	30	the	the	DET
ejpam-4549	402	31	couple	couple	NOUN
ejpam-4549	402	32	stress	stress	NOUN
ejpam-4549	402	33	parameter	parameter	NOUN
ejpam-4549	402	34	and	and	CCONJ
ejpam-4549	402	35	the	the	DET
ejpam-4549	402	36	permeability	permeability	NOUN
ejpam-4549	402	37	,	,	PUNCT
ejpam-4549	402	38	κ	κ	X
ejpam-4549	402	39	=	=	PROPN
ejpam-4549	402	40	2.0	2.0	NUM
ejpam-4549	402	41	.	.	PUNCT
ejpam-4549	402	42	figure	figure	NOUN
ejpam-4549	402	43	9	9	NUM
ejpam-4549	402	44	:	:	PUNCT
ejpam-4549	402	45	normalized	normalize	VERB
ejpam-4549	402	46	drag	drag	NOUN
ejpam-4549	402	47	force	force	NOUN
ejpam-4549	402	48	exerted	exert	VERB
ejpam-4549	402	49	on	on	ADP
ejpam-4549	402	50	a	a	DET
ejpam-4549	402	51	rigid	rigid	ADJ
ejpam-4549	402	52	sphere	sphere	NOUN
ejpam-4549	402	53	of	of	ADP
ejpam-4549	402	54	a	a	DET
ejpam-4549	402	55	unit	unit	NOUN
ejpam-4549	402	56	radius	radius	NOUN
ejpam-4549	402	57	for	for	ADP
ejpam-4549	402	58	perfect	perfect	ADJ
ejpam-4549	402	59	slip	slip	NOUN
ejpam-4549	402	60	and	and	CCONJ
ejpam-4549	402	61	perfect	perfect	ADJ
ejpam-4549	402	62	spin	spin	NOUN
ejpam-4549	402	63	slip	slip	NOUN
ejpam-4549	402	64	for	for	ADP
ejpam-4549	402	65	various	various	ADJ
ejpam-4549	402	66	values	value	NOUN
ejpam-4549	402	67	of	of	ADP
ejpam-4549	402	68	the	the	DET
ejpam-4549	402	69	permeability	permeability	NOUN
ejpam-4549	402	70	,	,	PUNCT
ejpam-4549	402	71	the	the	DET
ejpam-4549	402	72	couple	couple	NOUN
ejpam-4549	402	73	stress	stress	NOUN
ejpam-4549	402	74	parameter	parameter	NOUN
ejpam-4549	402	75	and	and	CCONJ
ejpam-4549	402	76	ζ	ζ	NOUN
ejpam-4549	402	77	′	′	NUM
ejpam-4549	402	78	=	=	NOUN
ejpam-4549	402	79	0.01	0.01	NUM
ejpam-4549	402	80	.	.	PUNCT
ejpam-4549	403	1	appendix	appendix	ADJ
ejpam-4549	403	2	1589	1589	NUM
ejpam-4549	403	3	(	(	PUNCT
ejpam-4549	403	4	a	a	X
ejpam-4549	403	5	)	)	PUNCT
ejpam-4549	403	6	β1	β1	NOUN
ejpam-4549	403	7	aµ	aµ	PROPN
ejpam-4549	403	8	=	=	PRON
ejpam-4549	403	9	aβ2	aβ2	VERB
ejpam-4549	403	10	µ	µ	X
ejpam-4549	403	11	=	=	SYM
ejpam-4549	403	12	0.0	0.0	NUM
ejpam-4549	403	13	.	.	PUNCT
ejpam-4549	404	1	appendix	appendix	VERB
ejpam-4549	404	2	1590	1590	NUM
ejpam-4549	404	3	(	(	PUNCT
ejpam-4549	404	4	b	b	X
ejpam-4549	404	5	)	)	PUNCT
ejpam-4549	404	6	β1	β1	NOUN
ejpam-4549	404	7	aµ	aµ	PROPN
ejpam-4549	404	8	=	=	PRON
ejpam-4549	404	9	aβ2	aβ2	VERB
ejpam-4549	404	10	µ	µ	X
ejpam-4549	404	11	=	=	SYM
ejpam-4549	404	12	1.0	1.0	NUM
ejpam-4549	404	13	.	.	PUNCT
ejpam-4549	405	1	appendix	appendix	VERB
ejpam-4549	405	2	1591	1591	NUM
ejpam-4549	405	3	(	(	PUNCT
ejpam-4549	405	4	c	c	X
ejpam-4549	405	5	)	)	PUNCT
ejpam-4549	405	6	β1	β1	NOUN
ejpam-4549	405	7	aµ	aµ	PROPN
ejpam-4549	405	8	=	=	PRON
ejpam-4549	405	9	aβ2	aβ2	VERB
ejpam-4549	405	10	µ	µ	X
ejpam-4549	405	11	→	→	SYM
ejpam-4549	405	12	∞.	∞.	PROPN
ejpam-4549	405	13	figure	figure	NOUN
ejpam-4549	405	14	10	10	NUM
ejpam-4549	405	15	:	:	PUNCT
ejpam-4549	405	16	htreamlines	htreamline	VERB
ejpam-4549	405	17	distribution	distribution	NOUN
ejpam-4549	405	18	for	for	ADP
ejpam-4549	405	19	various	various	ADJ
ejpam-4549	405	20	parameters	parameter	NOUN
ejpam-4549	405	21	ζ	ζ	NOUN
ejpam-4549	405	22	=	=	SYM
ejpam-4549	405	23	10.0	10.0	NUM
ejpam-4549	405	24	,	,	PUNCT
ejpam-4549	405	25	ζ	ζ	NOUN
ejpam-4549	405	26	′	′	NOUN
ejpam-4549	405	27	=	=	NOUN
ejpam-4549	405	28	0.1	0.1	NUM
ejpam-4549	405	29	.	.	PUNCT
ejpam-4549	406	1	appendix	appendix	VERB
ejpam-4549	406	2	1592	1592	NUM
ejpam-4549	406	3	(	(	PUNCT
ejpam-4549	406	4	a	a	NOUN
ejpam-4549	406	5	)	)	PUNCT
ejpam-4549	406	6	ζ	ζ	NOUN
ejpam-4549	406	7	=	=	SYM
ejpam-4549	406	8	0.001	0.001	NUM
ejpam-4549	406	9	(	(	PUNCT
ejpam-4549	406	10	b	b	NOUN
ejpam-4549	406	11	)	)	PUNCT
ejpam-4549	406	12	ζ	ζ	NOUN
ejpam-4549	406	13	=	=	SYM
ejpam-4549	406	14	0.1	0.1	NUM
ejpam-4549	406	15	(	(	PUNCT
ejpam-4549	406	16	c)ζ	c)ζ	NOUN
ejpam-4549	406	17	=	=	SYM
ejpam-4549	406	18	0.1	0.1	NUM
ejpam-4549	406	19	(	(	PUNCT
ejpam-4549	406	20	d)ζ	d)ζ	NOUN
ejpam-4549	406	21	=	=	SYM
ejpam-4549	406	22	10.0	10.0	NUM
ejpam-4549	406	23	figure	figure	NOUN
ejpam-4549	406	24	11	11	NUM
ejpam-4549	406	25	:	:	PUNCT
ejpam-4549	406	26	htreamlines	htreamline	VERB
ejpam-4549	406	27	distribution	distribution	NOUN
ejpam-4549	406	28	for	for	ADP
ejpam-4549	406	29	various	various	ADJ
ejpam-4549	406	30	parameters	parameter	NOUN
ejpam-4549	406	31	β1	β1	VERB
ejpam-4549	406	32	aµ	aµ	PROPN
ejpam-4549	406	33	=	=	PRON
ejpam-4549	406	34	aβ2	aβ2	VERB
ejpam-4549	406	35	µ	µ	X
ejpam-4549	406	36	=	=	SYM
ejpam-4549	406	37	10.0	10.0	NUM
ejpam-4549	406	38	,	,	PUNCT
ejpam-4549	406	39	ζ	ζ	NOUN
ejpam-4549	406	40	′	′	NOUN
ejpam-4549	406	41	=	=	NOUN
ejpam-4549	406	42	0.1	0.1	NUM
ejpam-4549	406	43	.	.	PUNCT