id	sid	tid	token	lemma	pos
ejpam-5595	1	1	european	european	PROPN
ejpam-5595	1	2	journal	journal	PROPN
ejpam-5595	1	3	of	of	ADP
ejpam-5595	1	4	pure	pure	ADJ
ejpam-5595	1	5	and	and	CCONJ
ejpam-5595	1	6	applied	applied	ADJ
ejpam-5595	1	7	mathematics	mathematic	NOUN
ejpam-5595	1	8	2025	2025	NUM
ejpam-5595	1	9	,	,	PUNCT
ejpam-5595	1	10	vol	vol	NOUN
ejpam-5595	1	11	.	.	PROPN
ejpam-5595	1	12	18	18	NUM
ejpam-5595	1	13	,	,	PUNCT
ejpam-5595	1	14	issue	issue	NOUN
ejpam-5595	1	15	1	1	NUM
ejpam-5595	1	16	,	,	PUNCT
ejpam-5595	1	17	article	article	NOUN
ejpam-5595	1	18	number	number	NOUN
ejpam-5595	1	19	5595	5595	NUM
ejpam-5595	1	20	issn	issn	VERB
ejpam-5595	1	21	1307	1307	NUM
ejpam-5595	1	22	-	-	SYM
ejpam-5595	1	23	5543	5543	NUM
ejpam-5595	1	24	–	–	PUNCT
ejpam-5595	1	25	ejpam.com	ejpam.com	X
ejpam-5595	1	26	published	publish	VERB
ejpam-5595	1	27	by	by	ADP
ejpam-5595	1	28	new	new	PROPN
ejpam-5595	1	29	york	york	PROPN
ejpam-5595	1	30	business	business	PROPN
ejpam-5595	1	31	global	global	ADJ
ejpam-5595	1	32	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-5595	1	33	stability	stability	NOUN
ejpam-5595	1	34	of	of	ADP
ejpam-5595	1	35	walters	walters	PROPN
ejpam-5595	1	36	b′	b′	NUM
ejpam-5595	1	37	viscoelastic	viscoelastic	ADJ
ejpam-5595	1	38	dielectric	dielectric	ADJ
ejpam-5595	1	39	liquid	liquid	ADJ
ejpam-5595	1	40	jet	jet	NOUN
ejpam-5595	1	41	streaming	streaming	NOUN
ejpam-5595	1	42	with	with	ADP
ejpam-5595	1	43	variable	variable	ADJ
ejpam-5595	1	44	velocity	velocity	NOUN
ejpam-5595	1	45	into	into	ADP
ejpam-5595	1	46	another	another	DET
ejpam-5595	1	47	viscoelastic	viscoelastic	ADJ
ejpam-5595	1	48	fluid	fluid	NOUN
ejpam-5595	1	49	via	via	ADP
ejpam-5595	1	50	porous	porous	ADJ
ejpam-5595	1	51	medium	medium	ADJ
ejpam-5595	1	52	mohamed	mohamed	PROPN
ejpam-5595	1	53	f.	f.	PROPN
ejpam-5595	1	54	el	el	PROPN
ejpam-5595	1	55	-	-	PROPN
ejpam-5595	1	56	sayed2	sayed2	NOUN
ejpam-5595	1	57	,	,	PUNCT
ejpam-5595	1	58	doaa	doaa	VERB
ejpam-5595	1	59	m.	m.	NOUN
ejpam-5595	1	60	mostafa1,2∗	mostafa1,2∗	PROPN
ejpam-5595	1	61	,	,	PUNCT
ejpam-5595	1	62	ashwaq	ashwaq	NOUN
ejpam-5595	1	63	m.	m.	PROPN
ejpam-5595	1	64	f.	f.	PROPN
ejpam-5595	1	65	alrashdi1	alrashdi1	PROPN
ejpam-5595	2	1	1	1	NUM
ejpam-5595	2	2	department	department	NOUN
ejpam-5595	2	3	of	of	ADP
ejpam-5595	2	4	mathematics	mathematic	NOUN
ejpam-5595	2	5	,	,	PUNCT
ejpam-5595	2	6	college	college	NOUN
ejpam-5595	2	7	of	of	ADP
ejpam-5595	2	8	science	science	NOUN
ejpam-5595	2	9	,	,	PUNCT
ejpam-5595	2	10	qassim	qassim	PROPN
ejpam-5595	2	11	university	university	PROPN
ejpam-5595	2	12	,	,	PUNCT
ejpam-5595	2	13	buraidah	buraidah	NOUN
ejpam-5595	2	14	51452	51452	NUM
ejpam-5595	2	15	,	,	PUNCT
ejpam-5595	2	16	saudi	saudi	PROPN
ejpam-5595	2	17	arabia	arabia	PROPN
ejpam-5595	2	18	2	2	NUM
ejpam-5595	2	19	department	department	NOUN
ejpam-5595	2	20	of	of	ADP
ejpam-5595	2	21	mathematics	mathematic	NOUN
ejpam-5595	2	22	,	,	PUNCT
ejpam-5595	2	23	faculty	faculty	NOUN
ejpam-5595	2	24	of	of	ADP
ejpam-5595	2	25	education	education	NOUN
ejpam-5595	2	26	,	,	PUNCT
ejpam-5595	2	27	ain	ain	PROPN
ejpam-5595	2	28	shams	shams	PROPN
ejpam-5595	2	29	university	university	PROPN
ejpam-5595	2	30	,	,	PUNCT
ejpam-5595	2	31	heliopolis	heliopolis	PROPN
ejpam-5595	2	32	,	,	PUNCT
ejpam-5595	2	33	roxy	roxy	PROPN
ejpam-5595	2	34	,	,	PUNCT
ejpam-5595	2	35	cairo	cairo	PROPN
ejpam-5595	2	36	,	,	PUNCT
ejpam-5595	2	37	egypt	egypt	PROPN
ejpam-5595	2	38	abstract	abstract	PROPN
ejpam-5595	2	39	.	.	PUNCT
ejpam-5595	3	1	a	a	DET
ejpam-5595	3	2	linear	linear	ADJ
ejpam-5595	3	3	axisymmetric	axisymmetric	ADJ
ejpam-5595	3	4	instability	instability	NOUN
ejpam-5595	3	5	analysis	analysis	NOUN
ejpam-5595	3	6	of	of	ADP
ejpam-5595	3	7	a	a	DET
ejpam-5595	3	8	streaming	streaming	NOUN
ejpam-5595	3	9	walters	walter	NOUN
ejpam-5595	3	10	b′	b′	NUM
ejpam-5595	3	11	viscoelastic	viscoelastic	ADJ
ejpam-5595	3	12	liquid	liquid	ADJ
ejpam-5595	3	13	jet	jet	NOUN
ejpam-5595	3	14	with	with	ADP
ejpam-5595	3	15	a	a	DET
ejpam-5595	3	16	parabolic	parabolic	ADJ
ejpam-5595	3	17	velocity	velocity	NOUN
ejpam-5595	3	18	profile	profile	NOUN
ejpam-5595	3	19	surrounded	surround	VERB
ejpam-5595	3	20	by	by	ADP
ejpam-5595	3	21	viscoelastic	viscoelastic	ADJ
ejpam-5595	3	22	fluid	fluid	NOUN
ejpam-5595	3	23	under	under	ADP
ejpam-5595	3	24	the	the	DET
ejpam-5595	3	25	impact	impact	NOUN
ejpam-5595	3	26	of	of	ADP
ejpam-5595	3	27	an	an	DET
ejpam-5595	3	28	axial	axial	ADJ
ejpam-5595	3	29	electric	electric	ADJ
ejpam-5595	3	30	field	field	NOUN
ejpam-5595	3	31	via	via	ADP
ejpam-5595	3	32	porous	porous	ADJ
ejpam-5595	3	33	media	medium	NOUN
ejpam-5595	3	34	is	be	AUX
ejpam-5595	3	35	investigated	investigate	VERB
ejpam-5595	3	36	in	in	ADP
ejpam-5595	3	37	the	the	DET
ejpam-5595	3	38	rayleigh	rayleigh	PROPN
ejpam-5595	3	39	and	and	CCONJ
ejpam-5595	3	40	atomization	atomization	NOUN
ejpam-5595	3	41	modes	mode	NOUN
ejpam-5595	3	42	.	.	PUNCT
ejpam-5595	4	1	only	only	ADJ
ejpam-5595	4	2	temporal	temporal	ADJ
ejpam-5595	4	3	instability	instability	NOUN
ejpam-5595	4	4	is	be	AUX
ejpam-5595	4	5	considered	consider	VERB
ejpam-5595	4	6	because	because	SCONJ
ejpam-5595	4	7	,	,	PUNCT
ejpam-5595	4	8	due	due	ADP
ejpam-5595	4	9	to	to	ADP
ejpam-5595	4	10	the	the	DET
ejpam-5595	4	11	large	large	ADJ
ejpam-5595	4	12	weber	weber	PROPN
ejpam-5595	4	13	number	number	NOUN
ejpam-5595	4	14	,	,	PUNCT
ejpam-5595	4	15	both	both	CCONJ
ejpam-5595	4	16	temporal	temporal	ADJ
ejpam-5595	4	17	and	and	CCONJ
ejpam-5595	4	18	spatial	spatial	ADJ
ejpam-5595	4	19	instability	instability	NOUN
ejpam-5595	4	20	give	give	VERB
ejpam-5595	4	21	almost	almost	ADV
ejpam-5595	4	22	the	the	DET
ejpam-5595	4	23	same	same	ADJ
ejpam-5595	4	24	outcomes	outcome	NOUN
ejpam-5595	4	25	in	in	ADP
ejpam-5595	4	26	the	the	DET
ejpam-5595	4	27	atomization	atomization	NOUN
ejpam-5595	4	28	regime.the	regime.the	DET
ejpam-5595	4	29	dispersion	dispersion	NOUN
ejpam-5595	4	30	relation	relation	NOUN
ejpam-5595	4	31	is	be	AUX
ejpam-5595	4	32	calculated	calculate	VERB
ejpam-5595	4	33	to	to	PART
ejpam-5595	4	34	evaluate	evaluate	VERB
ejpam-5595	4	35	the	the	DET
ejpam-5595	4	36	growth	growth	NOUN
ejpam-5595	4	37	rate	rate	NOUN
ejpam-5595	4	38	of	of	ADP
ejpam-5595	4	39	disturbances	disturbance	NOUN
ejpam-5595	4	40	.	.	PUNCT
ejpam-5595	5	1	the	the	DET
ejpam-5595	5	2	findings	finding	NOUN
ejpam-5595	5	3	of	of	ADP
ejpam-5595	5	4	stability	stability	NOUN
ejpam-5595	5	5	analysis	analysis	NOUN
ejpam-5595	5	6	show	show	VERB
ejpam-5595	5	7	that	that	SCONJ
ejpam-5595	5	8	the	the	DET
ejpam-5595	5	9	viscoelastic	viscoelastic	ADJ
ejpam-5595	5	10	parameters	parameter	NOUN
ejpam-5595	5	11	,	,	PUNCT
ejpam-5595	5	12	electric	electric	ADJ
ejpam-5595	5	13	field	field	NOUN
ejpam-5595	5	14	,	,	PUNCT
ejpam-5595	5	15	velocity	velocity	NOUN
ejpam-5595	5	16	profile	profile	NOUN
ejpam-5595	5	17	parameter	parameter	NOUN
ejpam-5595	5	18	,	,	PUNCT
ejpam-5595	5	19	and	and	CCONJ
ejpam-5595	5	20	porosity	porosity	NOUN
ejpam-5595	5	21	of	of	ADP
ejpam-5595	5	22	the	the	DET
ejpam-5595	5	23	porous	porous	ADJ
ejpam-5595	5	24	medium	medium	ADJ
ejpam-5595	5	25	hinder	hinder	NOUN
ejpam-5595	5	26	instability	instability	NOUN
ejpam-5595	5	27	for	for	ADP
ejpam-5595	5	28	both	both	CCONJ
ejpam-5595	5	29	rayleigh	rayleigh	NOUN
ejpam-5595	5	30	and	and	CCONJ
ejpam-5595	5	31	atomization	atomization	NOUN
ejpam-5595	5	32	modes	mode	NOUN
ejpam-5595	5	33	,	,	PUNCT
ejpam-5595	5	34	while	while	SCONJ
ejpam-5595	5	35	the	the	DET
ejpam-5595	5	36	density	density	NOUN
ejpam-5595	5	37	ratio	ratio	NOUN
ejpam-5595	5	38	,	,	PUNCT
ejpam-5595	5	39	dielectric	dielectric	ADJ
ejpam-5595	5	40	constants	constant	NOUN
ejpam-5595	5	41	,	,	PUNCT
ejpam-5595	5	42	and	and	CCONJ
ejpam-5595	5	43	kinematic	kinematic	ADJ
ejpam-5595	5	44	viscosities	viscosity	NOUN
ejpam-5595	5	45	enhance	enhance	VERB
ejpam-5595	5	46	instability	instability	NOUN
ejpam-5595	5	47	in	in	ADP
ejpam-5595	5	48	both	both	DET
ejpam-5595	5	49	modes	mode	NOUN
ejpam-5595	5	50	.	.	PUNCT
ejpam-5595	6	1	weber	weber	PROPN
ejpam-5595	6	2	number	number	NOUN
ejpam-5595	6	3	hinders	hinder	VERB
ejpam-5595	6	4	instability	instability	NOUN
ejpam-5595	6	5	in	in	ADP
ejpam-5595	6	6	rayleigh	rayleigh	PROPN
ejpam-5595	6	7	mode	mode	NOUN
ejpam-5595	6	8	,	,	PUNCT
ejpam-5595	6	9	but	but	CCONJ
ejpam-5595	6	10	it	it	PRON
ejpam-5595	6	11	enhances	enhance	VERB
ejpam-5595	6	12	instability	instability	NOUN
ejpam-5595	6	13	in	in	ADP
ejpam-5595	6	14	atomization	atomization	NOUN
ejpam-5595	6	15	mode	mode	NOUN
ejpam-5595	6	16	.	.	PUNCT
ejpam-5595	7	1	the	the	DET
ejpam-5595	7	2	effects	effect	NOUN
ejpam-5595	7	3	of	of	ADP
ejpam-5595	7	4	all	all	DET
ejpam-5595	7	5	parameters	parameter	NOUN
ejpam-5595	7	6	in	in	ADP
ejpam-5595	7	7	atomization	atomization	NOUN
ejpam-5595	7	8	mode	mode	NOUN
ejpam-5595	7	9	are	be	AUX
ejpam-5595	7	10	found	find	VERB
ejpam-5595	7	11	to	to	PART
ejpam-5595	7	12	be	be	AUX
ejpam-5595	7	13	more	more	ADV
ejpam-5595	7	14	unstable	unstable	ADJ
ejpam-5595	7	15	than	than	ADP
ejpam-5595	7	16	those	those	PRON
ejpam-5595	7	17	in	in	ADP
ejpam-5595	7	18	rayleigh	rayleigh	PROPN
ejpam-5595	7	19	mode	mode	PROPN
ejpam-5595	7	20	.	.	PUNCT
ejpam-5595	8	1	it	it	PRON
ejpam-5595	8	2	is	be	AUX
ejpam-5595	8	3	also	also	ADV
ejpam-5595	8	4	demonstrated	demonstrate	VERB
ejpam-5595	8	5	that	that	SCONJ
ejpam-5595	8	6	the	the	DET
ejpam-5595	8	7	walters	walters	PROPN
ejpam-5595	8	8	b′	b′	NUM
ejpam-5595	8	9	viscoelastic	viscoelastic	ADJ
ejpam-5595	8	10	liquid	liquid	ADJ
ejpam-5595	8	11	jet	jet	NOUN
ejpam-5595	8	12	is	be	AUX
ejpam-5595	8	13	more	more	ADV
ejpam-5595	8	14	stable	stable	ADJ
ejpam-5595	8	15	than	than	ADP
ejpam-5595	8	16	an	an	DET
ejpam-5595	8	17	inviscid	inviscid	ADJ
ejpam-5595	8	18	liquid	liquid	ADJ
ejpam-5595	8	19	jet	jet	NOUN
ejpam-5595	8	20	,	,	PUNCT
ejpam-5595	8	21	and	and	CCONJ
ejpam-5595	8	22	the	the	DET
ejpam-5595	8	23	breakup	breakup	NOUN
ejpam-5595	8	24	process	process	NOUN
ejpam-5595	8	25	in	in	ADP
ejpam-5595	8	26	the	the	DET
ejpam-5595	8	27	atomization	atomization	NOUN
ejpam-5595	8	28	mode	mode	NOUN
ejpam-5595	8	29	of	of	ADP
ejpam-5595	8	30	instability	instability	NOUN
ejpam-5595	8	31	occurs	occur	VERB
ejpam-5595	8	32	faster	fast	ADV
ejpam-5595	8	33	than	than	ADP
ejpam-5595	8	34	in	in	ADP
ejpam-5595	8	35	rayleigh	rayleigh	PROPN
ejpam-5595	8	36	mode	mode	NOUN
ejpam-5595	8	37	since	since	SCONJ
ejpam-5595	8	38	liquid	liquid	ADJ
ejpam-5595	8	39	jet	jet	NOUN
ejpam-5595	8	40	instability	instability	NOUN
ejpam-5595	8	41	is	be	AUX
ejpam-5595	8	42	closely	closely	ADV
ejpam-5595	8	43	related	relate	VERB
ejpam-5595	8	44	to	to	PART
ejpam-5595	8	45	drop	drop	VERB
ejpam-5595	8	46	formation	formation	NOUN
ejpam-5595	8	47	and	and	CCONJ
ejpam-5595	8	48	breakup	breakup	NOUN
ejpam-5595	8	49	.	.	PUNCT
ejpam-5595	9	1	2020	2020	NUM
ejpam-5595	9	2	mathematics	mathematic	NOUN
ejpam-5595	9	3	subject	subject	NOUN
ejpam-5595	9	4	classifications	classification	NOUN
ejpam-5595	9	5	:	:	PUNCT
ejpam-5595	9	6	76a05	76a05	NUM
ejpam-5595	9	7	,	,	PUNCT
ejpam-5595	9	8	76a10	76a10	NUM
ejpam-5595	9	9	,	,	PUNCT
ejpam-5595	9	10	76e17	76e17	NUM
ejpam-5595	9	11	key	key	ADJ
ejpam-5595	9	12	words	word	NOUN
ejpam-5595	9	13	and	and	CCONJ
ejpam-5595	9	14	phrases	phrase	NOUN
ejpam-5595	9	15	:	:	PUNCT
ejpam-5595	9	16	linear	linear	ADJ
ejpam-5595	9	17	stability	stability	NOUN
ejpam-5595	9	18	,	,	PUNCT
ejpam-5595	9	19	porous	porous	ADJ
ejpam-5595	9	20	medium	medium	ADJ
ejpam-5595	9	21	,	,	PUNCT
ejpam-5595	9	22	viscoelastic	viscoelastic	ADJ
ejpam-5595	9	23	liquid	liquid	ADJ
ejpam-5595	9	24	jet	jet	NOUN
ejpam-5595	9	25	,	,	PUNCT
ejpam-5595	9	26	electrohydrodynamics	electrohydrodynamic	NOUN
ejpam-5595	9	27	nomenclature	nomenclature	NOUN
ejpam-5595	9	28	p	p	NOUN
ejpam-5595	9	29	liquid	liquid	ADJ
ejpam-5595	9	30	pressures	pressure	NOUN
ejpam-5595	9	31	ρ	ρ	NOUN
ejpam-5595	9	32	liquid	liquid	ADJ
ejpam-5595	9	33	density	density	NOUN
ejpam-5595	9	34	k	k	PROPN
ejpam-5595	9	35	wave	wave	NOUN
ejpam-5595	9	36	number	number	NOUN
ejpam-5595	9	37	∗corresponding	∗corresponde	VERB
ejpam-5595	9	38	author	author	NOUN
ejpam-5595	9	39	.	.	PUNCT
ejpam-5595	10	1	doi	doi	PROPN
ejpam-5595	10	2	:	:	PUNCT
ejpam-5595	10	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5595	https://doi.org/10.29020/nybg.ejpam.v18i1.5595	PROPN
ejpam-5595	10	4	email	email	NOUN
ejpam-5595	10	5	addresses	address	NOUN
ejpam-5595	10	6	:	:	PUNCT
ejpam-5595	10	7	mohamedfahme@edu.asu.edu.eg	mohamedfahme@edu.asu.edu.eg	PROPN
ejpam-5595	10	8	(	(	PUNCT
ejpam-5595	10	9	m.	m.	PROPN
ejpam-5595	10	10	f.	f.	PROPN
ejpam-5595	10	11	el	el	PROPN
ejpam-5595	10	12	-	-	PUNCT
ejpam-5595	10	13	sayed	say	VERB
ejpam-5595	10	14	)	)	PUNCT
ejpam-5595	10	15	,	,	PUNCT
ejpam-5595	10	16	do.elsayed@qu.edu.sa	do.elsayed@qu.edu.sa	PROPN
ejpam-5595	10	17	,	,	PUNCT
ejpam-5595	10	18	doaa−mohamady@edu.asu.edu.eg	doaa−mohamady@edu.asu.edu.eg	ADJ
ejpam-5595	10	19	(	(	PUNCT
ejpam-5595	10	20	d.m.mostafa	d.m.mostafa	PROPN
ejpam-5595	10	21	)	)	PUNCT
ejpam-5595	10	22	,	,	PUNCT
ejpam-5595	10	23	441212388@qu.edu.sa	441212388@qu.edu.sa	NUM
ejpam-5595	10	24	(	(	PUNCT
ejpam-5595	10	25	a.	a.	NOUN
ejpam-5595	10	26	m.	m.	PROPN
ejpam-5595	10	27	f.	f.	PROPN
ejpam-5595	10	28	alrashdi	alrashdi	PROPN
ejpam-5595	10	29	)	)	PUNCT
ejpam-5595	10	30	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5595	11	1	1	1	NUM
ejpam-5595	11	2	copyright	copyright	NOUN
ejpam-5595	11	3	:	:	PUNCT
ejpam-5595	11	4	©	©	PROPN
ejpam-5595	11	5	2025	2025	NUM
ejpam-5595	11	6	the	the	DET
ejpam-5595	11	7	author(s	author(s	NOUN
ejpam-5595	11	8	)	)	PUNCT
ejpam-5595	11	9	.	.	PUNCT
ejpam-5595	12	1	(	(	PUNCT
ejpam-5595	12	2	cc	cc	NOUN
ejpam-5595	12	3	by	by	ADP
ejpam-5595	12	4	-	-	PUNCT
ejpam-5595	12	5	nc	nc	PROPN
ejpam-5595	12	6	4.0	4.0	NUM
ejpam-5595	12	7	)	)	PUNCT
ejpam-5595	12	8	m.	m.	NOUN
ejpam-5595	12	9	f.	f.	PROPN
ejpam-5595	12	10	el	el	PROPN
ejpam-5595	12	11	-	-	PUNCT
ejpam-5595	12	12	sayed	sayed	PROPN
ejpam-5595	12	13	,	,	PUNCT
ejpam-5595	12	14	d.	d.	PROPN
ejpam-5595	12	15	m.	m.	PROPN
ejpam-5595	12	16	mostafa	mostafa	PROPN
ejpam-5595	12	17	,	,	PUNCT
ejpam-5595	12	18	a.	a.	PROPN
ejpam-5595	12	19	m.	m.	PROPN
ejpam-5595	12	20	f.	f.	PROPN
ejpam-5595	12	21	alrashdi	alrashdi	PROPN
ejpam-5595	12	22	/	/	SYM
ejpam-5595	12	23	eur	eur	PROPN
ejpam-5595	12	24	.	.	PUNCT
ejpam-5595	13	1	j.	j.	PROPN
ejpam-5595	13	2	pure	pure	PROPN
ejpam-5595	13	3	appl	appl	PROPN
ejpam-5595	13	4	.	.	PROPN
ejpam-5595	13	5	math	math	PROPN
ejpam-5595	13	6	,	,	PUNCT
ejpam-5595	13	7	18	18	NUM
ejpam-5595	13	8	(	(	PUNCT
ejpam-5595	13	9	1	1	NUM
ejpam-5595	13	10	)	)	PUNCT
ejpam-5595	13	11	(	(	PUNCT
ejpam-5595	13	12	2025	2025	NUM
ejpam-5595	13	13	)	)	PUNCT
ejpam-5595	13	14	,	,	PUNCT
ejpam-5595	13	15	5595	5595	NUM
ejpam-5595	13	16	2	2	NUM
ejpam-5595	13	17	of	of	ADP
ejpam-5595	13	18	20	20	NUM
ejpam-5595	13	19	ϵ	ϵ	DET
ejpam-5595	13	20	dielectric	dielectric	ADJ
ejpam-5595	13	21	constant	constant	ADJ
ejpam-5595	13	22	we	we	PRON
ejpam-5595	13	23	weber	weber	PROPN
ejpam-5595	13	24	number	number	PROPN
ejpam-5595	13	25	φ	φ	PROPN
ejpam-5595	13	26	electric	electric	ADJ
ejpam-5595	13	27	potential	potential	ADJ
ejpam-5595	13	28	function	function	NOUN
ejpam-5595	13	29	ψ	ψ	ADP
ejpam-5595	13	30	velocity	velocity	NOUN
ejpam-5595	13	31	potential	potential	ADJ
ejpam-5595	13	32	function	function	NOUN
ejpam-5595	13	33	σ	σ	PROPN
ejpam-5595	13	34	surface	surface	NOUN
ejpam-5595	13	35	tension	tension	NOUN
ejpam-5595	13	36	coefficient	coefficient	NOUN
ejpam-5595	13	37	λ	λ	PROPN
ejpam-5595	13	38	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	13	39	parameter	parameter	VERB
ejpam-5595	13	40	a	a	DET
ejpam-5595	13	41	cylindrical	cylindrical	ADJ
ejpam-5595	13	42	nozzle	nozzle	NOUN
ejpam-5595	13	43	radius	radius	NOUN
ejpam-5595	13	44	k1	k1	PROPN
ejpam-5595	13	45	medium	medium	NOUN
ejpam-5595	13	46	permeability	permeability	NOUN
ejpam-5595	13	47	.	.	PUNCT
ejpam-5595	14	1	ν	ν	PROPN
ejpam-5595	14	2	kinematic	kinematic	ADJ
ejpam-5595	14	3	viscosities	viscosity	NOUN
ejpam-5595	14	4	ν	ν	ADP
ejpam-5595	14	5	′	′	NUM
ejpam-5595	14	6	kinematic	kinematic	ADJ
ejpam-5595	14	7	viscoelasticities	viscoelasticitie	NOUN
ejpam-5595	14	8	i1	i1	PROPN
ejpam-5595	14	9	modified	modify	VERB
ejpam-5595	14	10	first	first	ADJ
ejpam-5595	14	11	-	-	PUNCT
ejpam-5595	14	12	order	order	NOUN
ejpam-5595	14	13	bessel	bessel	NOUN
ejpam-5595	14	14	functions	function	NOUN
ejpam-5595	14	15	of	of	ADP
ejpam-5595	14	16	the	the	DET
ejpam-5595	14	17	first	first	ADJ
ejpam-5595	14	18	kind	kind	ADJ
ejpam-5595	14	19	k1	k1	NOUN
ejpam-5595	14	20	modified	modify	VERB
ejpam-5595	14	21	first	first	ADJ
ejpam-5595	14	22	-	-	PUNCT
ejpam-5595	14	23	order	order	NOUN
ejpam-5595	14	24	bessel	bessel	NOUN
ejpam-5595	14	25	functions	function	NOUN
ejpam-5595	14	26	of	of	ADP
ejpam-5595	14	27	the	the	DET
ejpam-5595	14	28	second	second	ADJ
ejpam-5595	14	29	kind	kind	NOUN
ejpam-5595	14	30	i0	i0	PROPN
ejpam-5595	14	31	modifed	modife	VERB
ejpam-5595	14	32	zero	zero	NUM
ejpam-5595	14	33	-	-	PUNCT
ejpam-5595	14	34	order	order	NOUN
ejpam-5595	14	35	bessel	bessel	NOUN
ejpam-5595	14	36	functions	function	NOUN
ejpam-5595	14	37	of	of	ADP
ejpam-5595	14	38	the	the	DET
ejpam-5595	14	39	first	first	ADJ
ejpam-5595	14	40	kind	kind	NOUN
ejpam-5595	14	41	k0	k0	PROPN
ejpam-5595	14	42	modifed	modifed	PROPN
ejpam-5595	14	43	zero	zero	NUM
ejpam-5595	14	44	-	-	PUNCT
ejpam-5595	14	45	order	order	NOUN
ejpam-5595	14	46	bessel	bessel	NOUN
ejpam-5595	14	47	functions	function	NOUN
ejpam-5595	14	48	of	of	ADP
ejpam-5595	14	49	the	the	DET
ejpam-5595	14	50	second	second	ADJ
ejpam-5595	14	51	kind	kind	NOUN
ejpam-5595	14	52	1	1	NUM
ejpam-5595	14	53	.	.	PUNCT
ejpam-5595	15	1	introduction	introduction	NOUN
ejpam-5595	15	2	the	the	DET
ejpam-5595	15	3	problems	problem	NOUN
ejpam-5595	15	4	of	of	ADP
ejpam-5595	15	5	liquid	liquid	ADJ
ejpam-5595	15	6	jet	jet	NOUN
ejpam-5595	15	7	instability	instability	NOUN
ejpam-5595	15	8	have	have	AUX
ejpam-5595	15	9	attracted	attract	VERB
ejpam-5595	15	10	the	the	DET
ejpam-5595	15	11	interest	interest	NOUN
ejpam-5595	15	12	of	of	ADP
ejpam-5595	15	13	researchers	researcher	NOUN
ejpam-5595	15	14	for	for	ADP
ejpam-5595	15	15	a	a	DET
ejpam-5595	15	16	long	long	ADJ
ejpam-5595	15	17	time	time	NOUN
ejpam-5595	15	18	since	since	SCONJ
ejpam-5595	15	19	they	they	PRON
ejpam-5595	15	20	have	have	VERB
ejpam-5595	15	21	applications	application	NOUN
ejpam-5595	15	22	in	in	ADP
ejpam-5595	15	23	numerous	numerous	ADJ
ejpam-5595	15	24	industrial	industrial	ADJ
ejpam-5595	15	25	processes	process	NOUN
ejpam-5595	15	26	and	and	CCONJ
ejpam-5595	15	27	machines	machine	NOUN
ejpam-5595	15	28	.	.	PUNCT
ejpam-5595	16	1	the	the	DET
ejpam-5595	16	2	breakup	breakup	NOUN
ejpam-5595	16	3	of	of	ADP
ejpam-5595	16	4	liquid	liquid	ADJ
ejpam-5595	16	5	jets	jet	NOUN
ejpam-5595	16	6	into	into	ADP
ejpam-5595	16	7	drops	drop	NOUN
ejpam-5595	16	8	is	be	AUX
ejpam-5595	16	9	a	a	DET
ejpam-5595	16	10	natural	natural	ADJ
ejpam-5595	16	11	phenomenon	phenomenon	NOUN
ejpam-5595	16	12	.	.	PUNCT
ejpam-5595	17	1	it	it	PRON
ejpam-5595	17	2	is	be	AUX
ejpam-5595	17	3	used	use	VERB
ejpam-5595	17	4	in	in	ADP
ejpam-5595	17	5	a	a	DET
ejpam-5595	17	6	wide	wide	ADJ
ejpam-5595	17	7	range	range	NOUN
ejpam-5595	17	8	of	of	ADP
ejpam-5595	17	9	applications	application	NOUN
ejpam-5595	17	10	,	,	PUNCT
ejpam-5595	17	11	including	include	VERB
ejpam-5595	17	12	lubrication	lubrication	NOUN
ejpam-5595	17	13	,	,	PUNCT
ejpam-5595	17	14	oil	oil	NOUN
ejpam-5595	17	15	burners	burner	NOUN
ejpam-5595	17	16	,	,	PUNCT
ejpam-5595	17	17	and	and	CCONJ
ejpam-5595	17	18	gas	gas	NOUN
ejpam-5595	17	19	turbine	turbine	NOUN
ejpam-5595	17	20	engines	engine	NOUN
ejpam-5595	17	21	.	.	PUNCT
ejpam-5595	18	1	since	since	SCONJ
ejpam-5595	18	2	nonnewtonian	nonnewtonian	NOUN
ejpam-5595	18	3	liquids	liquid	NOUN
ejpam-5595	18	4	may	may	AUX
ejpam-5595	18	5	be	be	AUX
ejpam-5595	18	6	involved	involve	VERB
ejpam-5595	18	7	in	in	ADP
ejpam-5595	18	8	many	many	ADJ
ejpam-5595	18	9	of	of	ADP
ejpam-5595	18	10	these	these	DET
ejpam-5595	18	11	processes	process	NOUN
ejpam-5595	18	12	,	,	PUNCT
ejpam-5595	18	13	it	it	PRON
ejpam-5595	18	14	is	be	AUX
ejpam-5595	18	15	interesting	interesting	ADJ
ejpam-5595	18	16	and	and	CCONJ
ejpam-5595	18	17	crucial	crucial	ADJ
ejpam-5595	18	18	to	to	PART
ejpam-5595	18	19	comprehend	comprehend	VERB
ejpam-5595	18	20	the	the	DET
ejpam-5595	18	21	mechanics	mechanic	NOUN
ejpam-5595	18	22	underlying	underlie	VERB
ejpam-5595	18	23	their	their	PRON
ejpam-5595	18	24	instability	instability	NOUN
ejpam-5595	18	25	[	[	X
ejpam-5595	18	26	22	22	NUM
ejpam-5595	18	27	,	,	PUNCT
ejpam-5595	18	28	25	25	NUM
ejpam-5595	18	29	]	]	PUNCT
ejpam-5595	18	30	.	.	PUNCT
ejpam-5595	19	1	ibrahim	ibrahim	PROPN
ejpam-5595	20	1	[	[	X
ejpam-5595	20	2	18	18	NUM
ejpam-5595	20	3	]	]	PUNCT
ejpam-5595	20	4	analyzed	analyze	VERB
ejpam-5595	20	5	the	the	DET
ejpam-5595	20	6	instability	instability	NOUN
ejpam-5595	20	7	of	of	ADP
ejpam-5595	20	8	a	a	DET
ejpam-5595	20	9	liquid	liquid	ADJ
ejpam-5595	20	10	sheet	sheet	NOUN
ejpam-5595	20	11	with	with	ADP
ejpam-5595	20	12	a	a	DET
ejpam-5595	20	13	parabolic	parabolic	ADJ
ejpam-5595	20	14	velocity	velocity	NOUN
ejpam-5595	20	15	profile	profile	NOUN
ejpam-5595	20	16	and	and	CCONJ
ejpam-5595	20	17	concluded	conclude	VERB
ejpam-5595	20	18	that	that	SCONJ
ejpam-5595	20	19	a	a	DET
ejpam-5595	20	20	liquid	liquid	ADJ
ejpam-5595	20	21	sheet	sheet	NOUN
ejpam-5595	20	22	with	with	ADP
ejpam-5595	20	23	a	a	DET
ejpam-5595	20	24	uniform	uniform	ADJ
ejpam-5595	20	25	velocity	velocity	NOUN
ejpam-5595	20	26	is	be	AUX
ejpam-5595	20	27	less	less	ADV
ejpam-5595	20	28	unstable	unstable	ADJ
ejpam-5595	20	29	than	than	ADP
ejpam-5595	20	30	one	one	NUM
ejpam-5595	20	31	with	with	ADP
ejpam-5595	20	32	a	a	DET
ejpam-5595	20	33	parabolic	parabolic	ADJ
ejpam-5595	20	34	velocity	velocity	NOUN
ejpam-5595	20	35	.	.	PUNCT
ejpam-5595	21	1	a	a	DET
ejpam-5595	21	2	dispersion	dispersion	NOUN
ejpam-5595	21	3	relation	relation	NOUN
ejpam-5595	21	4	that	that	PRON
ejpam-5595	21	5	characterizes	characterize	VERB
ejpam-5595	21	6	the	the	DET
ejpam-5595	21	7	instability	instability	NOUN
ejpam-5595	21	8	of	of	ADP
ejpam-5595	21	9	an	an	DET
ejpam-5595	21	10	inviscid	inviscid	ADJ
ejpam-5595	21	11	liquid	liquid	ADJ
ejpam-5595	21	12	jet	jet	NOUN
ejpam-5595	21	13	emanated	emanate	VERB
ejpam-5595	21	14	into	into	ADP
ejpam-5595	21	15	an	an	DET
ejpam-5595	21	16	inviscid	inviscid	ADJ
ejpam-5595	21	17	gas	gas	NOUN
ejpam-5595	21	18	was	be	AUX
ejpam-5595	21	19	established	establish	VERB
ejpam-5595	21	20	by	by	ADP
ejpam-5595	21	21	ibrahim	ibrahim	PROPN
ejpam-5595	21	22	and	and	CCONJ
ejpam-5595	21	23	marshall	marshall	PROPN
ejpam-5595	22	1	[	[	X
ejpam-5595	22	2	19	19	NUM
ejpam-5595	22	3	]	]	PUNCT
ejpam-5595	22	4	.	.	PUNCT
ejpam-5595	23	1	according	accord	VERB
ejpam-5595	23	2	to	to	ADP
ejpam-5595	23	3	their	their	PRON
ejpam-5595	23	4	findings	finding	NOUN
ejpam-5595	23	5	,	,	PUNCT
ejpam-5595	23	6	the	the	DET
ejpam-5595	23	7	instability	instability	NOUN
ejpam-5595	23	8	gets	get	VERB
ejpam-5595	23	9	stronger	strong	ADJ
ejpam-5595	23	10	as	as	SCONJ
ejpam-5595	23	11	the	the	DET
ejpam-5595	23	12	jet	jet	NOUN
ejpam-5595	23	13	’s	’s	PART
ejpam-5595	23	14	velocity	velocity	NOUN
ejpam-5595	23	15	profile	profile	NOUN
ejpam-5595	23	16	gets	get	VERB
ejpam-5595	23	17	closer	close	ADJ
ejpam-5595	23	18	to	to	ADP
ejpam-5595	23	19	homogeneity	homogeneity	NOUN
ejpam-5595	23	20	.	.	PUNCT
ejpam-5595	24	1	moreover	moreover	ADV
ejpam-5595	24	2	,	,	PUNCT
ejpam-5595	24	3	instability	instability	NOUN
ejpam-5595	24	4	is	be	AUX
ejpam-5595	24	5	encouraged	encourage	VERB
ejpam-5595	24	6	by	by	ADP
ejpam-5595	24	7	rising	rise	VERB
ejpam-5595	24	8	weber	weber	PROPN
ejpam-5595	24	9	numbers	number	NOUN
ejpam-5595	24	10	and	and	CCONJ
ejpam-5595	24	11	gas	gas	NOUN
ejpam-5595	24	12	/	/	SYM
ejpam-5595	24	13	liquid	liquid	ADJ
ejpam-5595	24	14	density	density	NOUN
ejpam-5595	24	15	ratios	ratio	NOUN
ejpam-5595	24	16	.	.	PUNCT
ejpam-5595	25	1	since	since	SCONJ
ejpam-5595	25	2	a	a	DET
ejpam-5595	25	3	wide	wide	ADJ
ejpam-5595	25	4	variety	variety	NOUN
ejpam-5595	25	5	of	of	ADP
ejpam-5595	25	6	industrial	industrial	ADJ
ejpam-5595	25	7	applications	application	NOUN
ejpam-5595	25	8	employ	employ	VERB
ejpam-5595	25	9	non	non	ADJ
ejpam-5595	25	10	-	-	ADJ
ejpam-5595	25	11	newtonian	newtonian	ADJ
ejpam-5595	25	12	jets	jet	NOUN
ejpam-5595	25	13	,	,	PUNCT
ejpam-5595	25	14	including	include	VERB
ejpam-5595	25	15	roll	roll	NOUN
ejpam-5595	25	16	coating	coating	NOUN
ejpam-5595	25	17	,	,	PUNCT
ejpam-5595	25	18	paint	paint	NOUN
ejpam-5595	25	19	leveling	leveling	NOUN
ejpam-5595	25	20	,	,	PUNCT
ejpam-5595	25	21	fertilizers	fertilizer	NOUN
ejpam-5595	25	22	,	,	PUNCT
ejpam-5595	25	23	and	and	CCONJ
ejpam-5595	25	24	inkjet	inkjet	NOUN
ejpam-5595	25	25	printing	printing	NOUN
ejpam-5595	25	26	,	,	PUNCT
ejpam-5595	25	27	it	it	PRON
ejpam-5595	25	28	is	be	AUX
ejpam-5595	25	29	imperative	imperative	ADJ
ejpam-5595	25	30	to	to	PART
ejpam-5595	25	31	understand	understand	VERB
ejpam-5595	25	32	their	their	PRON
ejpam-5595	25	33	behavior	behavior	NOUN
ejpam-5595	25	34	.	.	PUNCT
ejpam-5595	26	1	the	the	DET
ejpam-5595	26	2	liquid	liquid	PROPN
ejpam-5595	26	3	’s	’s	PART
ejpam-5595	26	4	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	26	5	affects	affect	VERB
ejpam-5595	26	6	significantly	significantly	ADV
ejpam-5595	26	7	the	the	DET
ejpam-5595	26	8	instability	instability	NOUN
ejpam-5595	26	9	characteristic	characteristic	NOUN
ejpam-5595	26	10	of	of	ADP
ejpam-5595	26	11	liquid	liquid	ADJ
ejpam-5595	26	12	jets	jet	NOUN
ejpam-5595	26	13	[	[	X
ejpam-5595	26	14	10	10	NUM
ejpam-5595	26	15	]	]	PUNCT
ejpam-5595	26	16	.	.	PUNCT
ejpam-5595	27	1	many	many	ADJ
ejpam-5595	27	2	studies	study	NOUN
ejpam-5595	27	3	have	have	AUX
ejpam-5595	27	4	examined	examine	VERB
ejpam-5595	27	5	the	the	DET
ejpam-5595	27	6	instability	instability	NOUN
ejpam-5595	27	7	of	of	ADP
ejpam-5595	27	8	liquid	liquid	ADJ
ejpam-5595	27	9	jets	jet	NOUN
ejpam-5595	27	10	that	that	PRON
ejpam-5595	27	11	are	be	AUX
ejpam-5595	27	12	viscoelastic	viscoelastic	ADJ
ejpam-5595	27	13	without	without	ADP
ejpam-5595	27	14	an	an	DET
ejpam-5595	27	15	electric	electric	ADJ
ejpam-5595	27	16	field	field	NOUN
ejpam-5595	27	17	[	[	X
ejpam-5595	27	18	1	1	NUM
ejpam-5595	27	19	,	,	PUNCT
ejpam-5595	27	20	4	4	NUM
ejpam-5595	27	21	,	,	PUNCT
ejpam-5595	27	22	33	33	NUM
ejpam-5595	27	23	,	,	PUNCT
ejpam-5595	27	24	38	38	NUM
ejpam-5595	27	25	]	]	PUNCT
ejpam-5595	27	26	.	.	PUNCT
ejpam-5595	28	1	paralleling	parallel	VERB
ejpam-5595	28	2	the	the	DET
ejpam-5595	28	3	classical	classical	ADJ
ejpam-5595	28	4	evolution	evolution	NOUN
ejpam-5595	28	5	of	of	ADP
ejpam-5595	28	6	the	the	DET
ejpam-5595	28	7	newtonian	newtonian	ADJ
ejpam-5595	28	8	liquid	liquid	NOUN
ejpam-5595	28	9	,	,	PUNCT
ejpam-5595	28	10	middleman	middleman	NOUN
ejpam-5595	28	11	[	[	X
ejpam-5595	28	12	29	29	NUM
ejpam-5595	28	13	]	]	PUNCT
ejpam-5595	28	14	assessed	assess	VERB
ejpam-5595	28	15	the	the	DET
ejpam-5595	28	16	characteristic	characteristic	ADJ
ejpam-5595	28	17	equation	equation	NOUN
ejpam-5595	28	18	that	that	PRON
ejpam-5595	28	19	establishes	establish	VERB
ejpam-5595	28	20	the	the	DET
ejpam-5595	28	21	growth	growth	NOUN
ejpam-5595	28	22	rate	rate	NOUN
ejpam-5595	28	23	of	of	ADP
ejpam-5595	28	24	a	a	DET
ejpam-5595	28	25	disturbance	disturbance	NOUN
ejpam-5595	28	26	on	on	ADP
ejpam-5595	28	27	a	a	DET
ejpam-5595	28	28	viscoelastic	viscoelastic	ADJ
ejpam-5595	28	29	jet	jet	NOUN
ejpam-5595	28	30	.	.	PUNCT
ejpam-5595	29	1	under	under	ADP
ejpam-5595	29	2	the	the	DET
ejpam-5595	29	3	same	same	ADJ
ejpam-5595	29	4	dynamic	dynamic	ADJ
ejpam-5595	29	5	conditions	condition	NOUN
ejpam-5595	29	6	,	,	PUNCT
ejpam-5595	29	7	according	accord	VERB
ejpam-5595	29	8	to	to	ADP
ejpam-5595	29	9	the	the	DET
ejpam-5595	29	10	theory	theory	NOUN
ejpam-5595	29	11	,	,	PUNCT
ejpam-5595	29	12	depending	depend	VERB
ejpam-5595	29	13	on	on	ADP
ejpam-5595	29	14	the	the	DET
ejpam-5595	29	15	viscoelastic	viscoelastic	ADJ
ejpam-5595	29	16	model	model	NOUN
ejpam-5595	29	17	under	under	ADP
ejpam-5595	29	18	study	study	NOUN
ejpam-5595	29	19	,	,	PUNCT
ejpam-5595	29	20	the	the	DET
ejpam-5595	29	21	stability	stability	NOUN
ejpam-5595	29	22	of	of	ADP
ejpam-5595	29	23	a	a	DET
ejpam-5595	29	24	viscoelastic	viscoelastic	ADJ
ejpam-5595	29	25	jet	jet	NOUN
ejpam-5595	29	26	will	will	AUX
ejpam-5595	29	27	be	be	AUX
ejpam-5595	29	28	lower	low	ADJ
ejpam-5595	29	29	than	than	ADP
ejpam-5595	29	30	that	that	PRON
ejpam-5595	29	31	of	of	ADP
ejpam-5595	29	32	a	a	DET
ejpam-5595	29	33	newtonian	newtonian	ADJ
ejpam-5595	29	34	jet	jet	NOUN
ejpam-5595	29	35	.	.	PUNCT
ejpam-5595	30	1	in	in	ADP
ejpam-5595	30	2	an	an	DET
ejpam-5595	30	3	inviscid	inviscid	ADJ
ejpam-5595	30	4	gaseous	gaseous	ADJ
ejpam-5595	30	5	medium	medium	NOUN
ejpam-5595	30	6	,	,	PUNCT
ejpam-5595	30	7	non	non	ADJ
ejpam-5595	30	8	-	-	ADJ
ejpam-5595	30	9	newtonian	newtonian	ADJ
ejpam-5595	30	10	liquid	liquid	ADJ
ejpam-5595	30	11	jets	jet	NOUN
ejpam-5595	30	12	were	be	AUX
ejpam-5595	30	13	studied	study	VERB
ejpam-5595	30	14	by	by	ADP
ejpam-5595	30	15	brenn	brenn	PROPN
ejpam-5595	30	16	et	et	PROPN
ejpam-5595	30	17	al	al	PROPN
ejpam-5595	31	1	[	[	X
ejpam-5595	31	2	3	3	NUM
ejpam-5595	31	3	]	]	PUNCT
ejpam-5595	31	4	.	.	PUNCT
ejpam-5595	32	1	they	they	PRON
ejpam-5595	32	2	calculated	calculate	VERB
ejpam-5595	32	3	the	the	DET
ejpam-5595	32	4	relevant	relevant	ADJ
ejpam-5595	32	5	dispersion	dispersion	NOUN
ejpam-5595	32	6	relation	relation	NOUN
ejpam-5595	32	7	between	between	ADP
ejpam-5595	32	8	the	the	DET
ejpam-5595	32	9	wave	wave	NOUN
ejpam-5595	32	10	number	number	NOUN
ejpam-5595	32	11	and	and	CCONJ
ejpam-5595	32	12	growth	growth	NOUN
ejpam-5595	32	13	rate	rate	NOUN
ejpam-5595	32	14	for	for	ADP
ejpam-5595	32	15	axisymmetric	axisymmetric	ADJ
ejpam-5595	32	16	perturbations	perturbation	NOUN
ejpam-5595	32	17	.	.	PUNCT
ejpam-5595	33	1	their	their	PRON
ejpam-5595	33	2	study	study	NOUN
ejpam-5595	33	3	’s	’s	PART
ejpam-5595	33	4	linear	linear	ADJ
ejpam-5595	33	5	stability	stability	NOUN
ejpam-5595	33	6	analysis	analysis	NOUN
ejpam-5595	33	7	revealed	reveal	VERB
ejpam-5595	33	8	that	that	SCONJ
ejpam-5595	33	9	,	,	PUNCT
ejpam-5595	33	10	due	due	ADP
ejpam-5595	33	11	to	to	ADP
ejpam-5595	33	12	the	the	DET
ejpam-5595	33	13	viscoelastic	viscoelastic	ADJ
ejpam-5595	33	14	fluid	fluid	NOUN
ejpam-5595	33	15	jet	jet	NOUN
ejpam-5595	33	16	’s	’s	PART
ejpam-5595	33	17	quicker	quick	ADJ
ejpam-5595	33	18	growth	growth	NOUN
ejpam-5595	33	19	rate	rate	NOUN
ejpam-5595	33	20	of	of	ADP
ejpam-5595	33	21	axisymmetric	axisymmetric	ADJ
ejpam-5595	33	22	disturbances	disturbance	NOUN
ejpam-5595	33	23	,	,	PUNCT
ejpam-5595	33	24	a	a	DET
ejpam-5595	33	25	viscoelastic	viscoelastic	ADJ
ejpam-5595	33	26	fluid	fluid	NOUN
ejpam-5595	33	27	jet	jet	NOUN
ejpam-5595	33	28	with	with	ADP
ejpam-5595	33	29	m.	m.	PROPN
ejpam-5595	33	30	f.	f.	PROPN
ejpam-5595	33	31	el	el	PROPN
ejpam-5595	33	32	-	-	PUNCT
ejpam-5595	33	33	sayed	sayed	PROPN
ejpam-5595	33	34	,	,	PUNCT
ejpam-5595	33	35	d.	d.	PROPN
ejpam-5595	33	36	m.	m.	PROPN
ejpam-5595	33	37	mostafa	mostafa	PROPN
ejpam-5595	33	38	,	,	PUNCT
ejpam-5595	33	39	a.	a.	PROPN
ejpam-5595	33	40	m.	m.	PROPN
ejpam-5595	33	41	f.	f.	PROPN
ejpam-5595	33	42	alrashdi	alrashdi	PROPN
ejpam-5595	33	43	/	/	SYM
ejpam-5595	33	44	eur	eur	PROPN
ejpam-5595	33	45	.	.	PUNCT
ejpam-5595	34	1	j.	j.	PROPN
ejpam-5595	34	2	pure	pure	PROPN
ejpam-5595	34	3	appl	appl	PROPN
ejpam-5595	34	4	.	.	PROPN
ejpam-5595	34	5	math	math	PROPN
ejpam-5595	34	6	,	,	PUNCT
ejpam-5595	34	7	18	18	NUM
ejpam-5595	34	8	(	(	PUNCT
ejpam-5595	34	9	1	1	NUM
ejpam-5595	34	10	)	)	PUNCT
ejpam-5595	34	11	(	(	PUNCT
ejpam-5595	34	12	2025	2025	NUM
ejpam-5595	34	13	)	)	PUNCT
ejpam-5595	34	14	,	,	PUNCT
ejpam-5595	34	15	5595	5595	NUM
ejpam-5595	34	16	3	3	NUM
ejpam-5595	34	17	of	of	ADP
ejpam-5595	34	18	20	20	NUM
ejpam-5595	34	19	the	the	DET
ejpam-5595	34	20	same	same	ADJ
ejpam-5595	34	21	ohnesorge	ohnesorge	NOUN
ejpam-5595	34	22	number	number	NOUN
ejpam-5595	34	23	is	be	AUX
ejpam-5595	34	24	more	more	ADV
ejpam-5595	34	25	unstable	unstable	ADJ
ejpam-5595	34	26	than	than	ADP
ejpam-5595	34	27	a	a	DET
ejpam-5595	34	28	newtonian	newtonian	ADJ
ejpam-5595	34	29	fluid	fluid	ADJ
ejpam-5595	34	30	jet	jet	NOUN
ejpam-5595	34	31	.	.	PUNCT
ejpam-5595	35	1	liu	liu	PROPN
ejpam-5595	35	2	and	and	CCONJ
ejpam-5595	35	3	liu	liu	PROPN
ejpam-5595	36	1	[	[	X
ejpam-5595	36	2	26	26	NUM
ejpam-5595	36	3	]	]	PUNCT
ejpam-5595	36	4	investigated	investigate	VERB
ejpam-5595	36	5	the	the	DET
ejpam-5595	36	6	stability	stability	NOUN
ejpam-5595	36	7	analysis	analysis	NOUN
ejpam-5595	36	8	of	of	ADP
ejpam-5595	36	9	a	a	DET
ejpam-5595	36	10	viscoelastic	viscoelastic	ADJ
ejpam-5595	36	11	fluid	fluid	NOUN
ejpam-5595	36	12	jet	jet	NOUN
ejpam-5595	36	13	with	with	ADP
ejpam-5595	36	14	axisymmetric	axisymmetric	ADJ
ejpam-5595	36	15	and	and	CCONJ
ejpam-5595	36	16	asymmetric	asymmetric	ADJ
ejpam-5595	36	17	perturbations	perturbation	NOUN
ejpam-5595	36	18	.	.	PUNCT
ejpam-5595	37	1	they	they	PRON
ejpam-5595	37	2	found	find	VERB
ejpam-5595	37	3	that	that	SCONJ
ejpam-5595	37	4	,	,	PUNCT
ejpam-5595	37	5	for	for	ADP
ejpam-5595	37	6	lower	low	ADJ
ejpam-5595	37	7	weber	weber	PROPN
ejpam-5595	37	8	numbers	number	NOUN
ejpam-5595	37	9	,	,	PUNCT
ejpam-5595	37	10	the	the	DET
ejpam-5595	37	11	axisymmetric	axisymmetric	ADJ
ejpam-5595	37	12	disturbance	disturbance	NOUN
ejpam-5595	37	13	dominates	dominate	VERB
ejpam-5595	37	14	over	over	ADP
ejpam-5595	37	15	the	the	DET
ejpam-5595	37	16	instability	instability	NOUN
ejpam-5595	37	17	of	of	ADP
ejpam-5595	37	18	the	the	DET
ejpam-5595	37	19	viscoelastic	viscoelastic	ADJ
ejpam-5595	37	20	liquid	liquid	ADJ
ejpam-5595	37	21	jet	jet	NOUN
ejpam-5595	37	22	.	.	PUNCT
ejpam-5595	38	1	carroll	carroll	NOUN
ejpam-5595	38	2	and	and	CCONJ
ejpam-5595	38	3	joo	joo	NOUN
ejpam-5595	39	1	[	[	X
ejpam-5595	39	2	5	5	NUM
ejpam-5595	39	3	]	]	PUNCT
ejpam-5595	39	4	investigated	investigate	VERB
ejpam-5595	39	5	the	the	DET
ejpam-5595	39	6	electrified	electrify	VERB
ejpam-5595	39	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	39	8	jets	jet	NOUN
ejpam-5595	39	9	,	,	PUNCT
ejpam-5595	39	10	and	and	CCONJ
ejpam-5595	39	11	they	they	PRON
ejpam-5595	39	12	took	take	VERB
ejpam-5595	39	13	into	into	ADP
ejpam-5595	39	14	account	account	NOUN
ejpam-5595	39	15	the	the	DET
ejpam-5595	39	16	impact	impact	NOUN
ejpam-5595	39	17	of	of	ADP
ejpam-5595	39	18	electric	electric	ADJ
ejpam-5595	39	19	field	field	NOUN
ejpam-5595	39	20	and	and	CCONJ
ejpam-5595	39	21	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	39	22	on	on	ADP
ejpam-5595	39	23	the	the	DET
ejpam-5595	39	24	basic	basic	ADJ
ejpam-5595	39	25	jet	jet	NOUN
ejpam-5595	39	26	profile	profile	NOUN
ejpam-5595	39	27	.	.	PUNCT
ejpam-5595	40	1	elasticity	elasticity	NOUN
ejpam-5595	40	2	keeps	keep	VERB
ejpam-5595	40	3	a	a	DET
ejpam-5595	40	4	jet	jet	NOUN
ejpam-5595	40	5	from	from	ADP
ejpam-5595	40	6	disintegrating	disintegrate	VERB
ejpam-5595	40	7	into	into	ADP
ejpam-5595	40	8	droplets	droplet	NOUN
ejpam-5595	40	9	when	when	SCONJ
ejpam-5595	40	10	it	it	PRON
ejpam-5595	40	11	is	be	AUX
ejpam-5595	40	12	being	be	AUX
ejpam-5595	40	13	electrospun	electrospun	NOUN
ejpam-5595	40	14	,	,	PUNCT
ejpam-5595	40	15	according	accord	VERB
ejpam-5595	40	16	to	to	ADP
ejpam-5595	40	17	studies	study	NOUN
ejpam-5595	40	18	by	by	ADP
ejpam-5595	40	19	yu	yu	PROPN
ejpam-5595	40	20	et	et	PROPN
ejpam-5595	40	21	al	al	PROPN
ejpam-5595	40	22	.	.	PUNCT
ejpam-5595	41	1	[	[	X
ejpam-5595	41	2	40	40	NUM
ejpam-5595	41	3	]	]	PUNCT
ejpam-5595	41	4	.	.	PUNCT
ejpam-5595	42	1	the	the	DET
ejpam-5595	42	2	importance	importance	NOUN
ejpam-5595	42	3	of	of	ADP
ejpam-5595	42	4	non	non	ADJ
ejpam-5595	42	5	-	-	ADJ
ejpam-5595	42	6	newtonian	newtonian	ADJ
ejpam-5595	42	7	viscoelastic	viscoelastic	NOUN
ejpam-5595	42	8	fluids	fluid	NOUN
ejpam-5595	42	9	in	in	ADP
ejpam-5595	42	10	industry	industry	NOUN
ejpam-5595	42	11	is	be	AUX
ejpam-5595	42	12	growing	grow	VERB
ejpam-5595	42	13	.	.	PUNCT
ejpam-5595	43	1	differential	differential	ADJ
ejpam-5595	43	2	types	type	NOUN
ejpam-5595	43	3	,	,	PUNCT
ejpam-5595	43	4	such	such	ADJ
ejpam-5595	43	5	as	as	ADP
ejpam-5595	43	6	the	the	DET
ejpam-5595	43	7	walters	walters	PROPN
ejpam-5595	43	8	b′	b′	NUM
ejpam-5595	43	9	type	type	NOUN
ejpam-5595	43	10	,	,	PUNCT
ejpam-5595	43	11	are	be	AUX
ejpam-5595	43	12	among	among	ADP
ejpam-5595	43	13	these	these	DET
ejpam-5595	43	14	fluids	fluid	NOUN
ejpam-5595	43	15	;	;	PUNCT
ejpam-5595	43	16	they	they	PRON
ejpam-5595	43	17	represent	represent	VERB
ejpam-5595	43	18	the	the	DET
ejpam-5595	43	19	combined	combine	VERB
ejpam-5595	43	20	impact	impact	NOUN
ejpam-5595	43	21	of	of	ADP
ejpam-5595	43	22	numerous	numerous	ADJ
ejpam-5595	43	23	blood	blood	NOUN
ejpam-5595	43	24	characteristics	characteristic	NOUN
ejpam-5595	43	25	,	,	PUNCT
ejpam-5595	43	26	including	include	VERB
ejpam-5595	43	27	hematocrit	hematocrit	NOUN
ejpam-5595	43	28	,	,	PUNCT
ejpam-5595	43	29	aggregation	aggregation	NOUN
ejpam-5595	43	30	,	,	PUNCT
ejpam-5595	43	31	plasma	plasma	NOUN
ejpam-5595	43	32	viscosity	viscosity	NOUN
ejpam-5595	43	33	,	,	PUNCT
ejpam-5595	43	34	and	and	CCONJ
ejpam-5595	43	35	red	red	ADJ
ejpam-5595	43	36	blood	blood	NOUN
ejpam-5595	43	37	cell	cell	NOUN
ejpam-5595	43	38	deformability	deformability	NOUN
ejpam-5595	43	39	.	.	PUNCT
ejpam-5595	44	1	walters	walters	PROPN
ejpam-5595	44	2	b′	b′	NUM
ejpam-5595	44	3	fluids	fluid	NOUN
ejpam-5595	44	4	are	be	AUX
ejpam-5595	44	5	essential	essential	ADJ
ejpam-5595	44	6	in	in	ADP
ejpam-5595	44	7	a	a	DET
ejpam-5595	44	8	wide	wide	ADJ
ejpam-5595	44	9	range	range	NOUN
ejpam-5595	44	10	of	of	ADP
ejpam-5595	44	11	industrial	industrial	ADJ
ejpam-5595	44	12	uses	use	NOUN
ejpam-5595	44	13	.	.	PUNCT
ejpam-5595	45	1	examples	example	NOUN
ejpam-5595	45	2	include	include	VERB
ejpam-5595	45	3	the	the	DET
ejpam-5595	45	4	application	application	NOUN
ejpam-5595	45	5	of	of	ADP
ejpam-5595	45	6	coating	coat	VERB
ejpam-5595	45	7	layers	layer	NOUN
ejpam-5595	45	8	onto	onto	ADP
ejpam-5595	45	9	hard	hard	ADJ
ejpam-5595	45	10	substrates	substrate	NOUN
ejpam-5595	45	11	,	,	PUNCT
ejpam-5595	45	12	the	the	DET
ejpam-5595	45	13	creation	creation	NOUN
ejpam-5595	45	14	of	of	ADP
ejpam-5595	45	15	adhesive	adhesive	ADJ
ejpam-5595	45	16	tapes	tape	NOUN
ejpam-5595	45	17	,	,	PUNCT
ejpam-5595	45	18	and	and	CCONJ
ejpam-5595	45	19	the	the	DET
ejpam-5595	45	20	extrusion	extrusion	NOUN
ejpam-5595	45	21	of	of	ADP
ejpam-5595	45	22	plastic	plastic	ADJ
ejpam-5595	45	23	sheets	sheet	NOUN
ejpam-5595	45	24	.	.	PUNCT
ejpam-5595	46	1	the	the	DET
ejpam-5595	46	2	porous	porous	ADJ
ejpam-5595	46	3	medium	medium	NOUN
ejpam-5595	46	4	is	be	AUX
ejpam-5595	46	5	crucial	crucial	ADJ
ejpam-5595	46	6	to	to	ADP
ejpam-5595	46	7	several	several	ADJ
ejpam-5595	46	8	geophysical	geophysical	ADJ
ejpam-5595	46	9	engineering	engineering	NOUN
ejpam-5595	46	10	fields	field	NOUN
ejpam-5595	46	11	,	,	PUNCT
ejpam-5595	46	12	such	such	ADJ
ejpam-5595	46	13	as	as	ADP
ejpam-5595	46	14	soil	soil	NOUN
ejpam-5595	46	15	mechanics	mechanic	NOUN
ejpam-5595	46	16	,	,	PUNCT
ejpam-5595	46	17	biomechanics	biomechanic	NOUN
ejpam-5595	46	18	,	,	PUNCT
ejpam-5595	46	19	petroleum	petroleum	NOUN
ejpam-5595	46	20	industry	industry	NOUN
ejpam-5595	46	21	,	,	PUNCT
ejpam-5595	46	22	chemical	chemical	NOUN
ejpam-5595	46	23	engineering	engineering	NOUN
ejpam-5595	46	24	,	,	PUNCT
ejpam-5595	46	25	and	and	CCONJ
ejpam-5595	46	26	material	material	NOUN
ejpam-5595	46	27	science	science	NOUN
ejpam-5595	46	28	[	[	X
ejpam-5595	46	29	17	17	NUM
ejpam-5595	46	30	]	]	PUNCT
ejpam-5595	46	31	.	.	PUNCT
ejpam-5595	47	1	over	over	ADP
ejpam-5595	47	2	the	the	DET
ejpam-5595	47	3	past	past	ADJ
ejpam-5595	47	4	few	few	ADJ
ejpam-5595	47	5	decades	decade	NOUN
ejpam-5595	47	6	,	,	PUNCT
ejpam-5595	47	7	flow	flow	VERB
ejpam-5595	47	8	through	through	ADP
ejpam-5595	47	9	porous	porous	ADJ
ejpam-5595	47	10	mediums	medium	NOUN
ejpam-5595	47	11	has	have	AUX
ejpam-5595	47	12	received	receive	VERB
ejpam-5595	47	13	much	much	ADJ
ejpam-5595	47	14	attention	attention	NOUN
ejpam-5595	47	15	.	.	PUNCT
ejpam-5595	48	1	numerous	numerous	ADJ
ejpam-5595	48	2	engineering	engineering	NOUN
ejpam-5595	48	3	applications	application	NOUN
ejpam-5595	48	4	across	across	ADP
ejpam-5595	48	5	a	a	DET
ejpam-5595	48	6	wide	wide	ADJ
ejpam-5595	48	7	range	range	NOUN
ejpam-5595	48	8	of	of	ADP
ejpam-5595	48	9	specializations	specialization	NOUN
ejpam-5595	48	10	,	,	PUNCT
ejpam-5595	48	11	including	include	VERB
ejpam-5595	48	12	groundwater	groundwater	NOUN
ejpam-5595	48	13	pollution	pollution	NOUN
ejpam-5595	48	14	and	and	CCONJ
ejpam-5595	48	15	filtration	filtration	NOUN
ejpam-5595	48	16	processes	process	NOUN
ejpam-5595	48	17	,	,	PUNCT
ejpam-5595	48	18	petroleum	petroleum	NOUN
ejpam-5595	48	19	reservoirs	reservoir	NOUN
ejpam-5595	48	20	,	,	PUNCT
ejpam-5595	48	21	chemical	chemical	ADJ
ejpam-5595	48	22	catalytic	catalytic	ADJ
ejpam-5595	48	23	reactors	reactor	NOUN
ejpam-5595	48	24	,	,	PUNCT
ejpam-5595	48	25	coal	coal	NOUN
ejpam-5595	48	26	combustors	combustor	NOUN
ejpam-5595	48	27	,	,	PUNCT
ejpam-5595	48	28	ceramic	ceramic	ADJ
ejpam-5595	48	29	processes	process	NOUN
ejpam-5595	48	30	,	,	PUNCT
ejpam-5595	48	31	geophysical	geophysical	ADJ
ejpam-5595	48	32	thermal	thermal	ADJ
ejpam-5595	48	33	and	and	CCONJ
ejpam-5595	48	34	insulation	insulation	NOUN
ejpam-5595	48	35	engineering	engineering	NOUN
ejpam-5595	48	36	,	,	PUNCT
ejpam-5595	48	37	and	and	CCONJ
ejpam-5595	48	38	so	so	ADV
ejpam-5595	48	39	on	on	ADV
ejpam-5595	48	40	,	,	PUNCT
ejpam-5595	48	41	were	be	AUX
ejpam-5595	48	42	the	the	DET
ejpam-5595	48	43	driving	drive	VERB
ejpam-5595	48	44	forces	force	NOUN
ejpam-5595	48	45	behind	behind	ADP
ejpam-5595	48	46	this	this	DET
ejpam-5595	48	47	interest	interest	NOUN
ejpam-5595	48	48	[	[	X
ejpam-5595	48	49	16	16	NUM
ejpam-5595	48	50	,	,	PUNCT
ejpam-5595	48	51	34	34	NUM
ejpam-5595	48	52	]	]	PUNCT
ejpam-5595	48	53	.	.	PUNCT
ejpam-5595	49	1	the	the	DET
ejpam-5595	49	2	viscous	viscous	ADJ
ejpam-5595	49	3	term	term	NOUN
ejpam-5595	49	4	in	in	ADP
ejpam-5595	49	5	the	the	DET
ejpam-5595	49	6	equation	equation	NOUN
ejpam-5595	49	7	of	of	ADP
ejpam-5595	49	8	motion	motion	NOUN
ejpam-5595	49	9	of	of	ADP
ejpam-5595	49	10	the	the	DET
ejpam-5595	49	11	walters	walters	PROPN
ejpam-5595	49	12	b′	b′	NUM
ejpam-5595	49	13	viscoelastic	viscoelastic	ADJ
ejpam-5595	49	14	fluid	fluid	NOUN
ejpam-5595	49	15	via	via	ADP
ejpam-5595	49	16	porous	porous	ADJ
ejpam-5595	49	17	material	material	NOUN
ejpam-5595	49	18	is	be	AUX
ejpam-5595	49	19	replaced	replace	VERB
ejpam-5595	49	20	by	by	ADP
ejpam-5595	49	21	the	the	DET
ejpam-5595	49	22	resistive	resistive	ADJ
ejpam-5595	49	23	term	term	NOUN
ejpam-5595	49	24	−(ρ	−(ρ	NOUN
ejpam-5595	49	25	/	/	SYM
ejpam-5595	49	26	k1	k1	NOUN
ejpam-5595	49	27	)	)	PUNCT
ejpam-5595	50	1	[	[	X
ejpam-5595	50	2	ν	ν	X
ejpam-5595	50	3	−	−	NOUN
ejpam-5595	50	4	ν	ν	NOUN
ejpam-5595	50	5	‵(∂/∂t	‵(∂/∂t	PROPN
ejpam-5595	50	6	)	)	PUNCT
ejpam-5595	50	7	]	]	PUNCT
ejpam-5595	50	8	v	v	X
ejpam-5595	50	9	,	,	PUNCT
ejpam-5595	50	10	where	where	SCONJ
ejpam-5595	50	11	v	v	NOUN
ejpam-5595	50	12	represents	represent	VERB
ejpam-5595	50	13	the	the	DET
ejpam-5595	50	14	fluid	fluid	NOUN
ejpam-5595	50	15	’s	’s	PART
ejpam-5595	50	16	darcian	darcian	ADJ
ejpam-5595	50	17	filter	filter	NOUN
ejpam-5595	50	18	velocity	velocity	NOUN
ejpam-5595	50	19	[	[	X
ejpam-5595	50	20	36	36	NUM
ejpam-5595	50	21	]	]	PUNCT
ejpam-5595	50	22	.	.	PUNCT
ejpam-5595	51	1	the	the	DET
ejpam-5595	51	2	study	study	NOUN
ejpam-5595	51	3	of	of	ADP
ejpam-5595	51	4	electrohydrodynamics	electrohydrodynamic	NOUN
ejpam-5595	51	5	(	(	PUNCT
ejpam-5595	51	6	ehd	ehd	PROPN
ejpam-5595	51	7	)	)	PUNCT
ejpam-5595	51	8	is	be	AUX
ejpam-5595	51	9	concerned	concern	VERB
ejpam-5595	51	10	with	with	ADP
ejpam-5595	51	11	how	how	SCONJ
ejpam-5595	51	12	electric	electric	ADJ
ejpam-5595	51	13	fields	field	NOUN
ejpam-5595	51	14	interact	interact	VERB
ejpam-5595	51	15	with	with	ADP
ejpam-5595	51	16	free	free	ADJ
ejpam-5595	51	17	or	or	CCONJ
ejpam-5595	51	18	polarized	polarize	VERB
ejpam-5595	51	19	charges	charge	NOUN
ejpam-5595	51	20	in	in	ADP
ejpam-5595	51	21	fluids	fluid	NOUN
ejpam-5595	51	22	,	,	PUNCT
ejpam-5595	51	23	which	which	PRON
ejpam-5595	51	24	can	can	AUX
ejpam-5595	51	25	be	be	AUX
ejpam-5595	51	26	strongly	strongly	ADV
ejpam-5595	51	27	conducting	conduct	VERB
ejpam-5595	51	28	,	,	PUNCT
ejpam-5595	51	29	marginally	marginally	ADV
ejpam-5595	51	30	conducting	conducting	NOUN
ejpam-5595	51	31	,	,	PUNCT
ejpam-5595	51	32	or	or	CCONJ
ejpam-5595	51	33	even	even	ADV
ejpam-5595	51	34	excellent	excellent	ADJ
ejpam-5595	51	35	insulators	insulator	NOUN
ejpam-5595	51	36	.	.	PUNCT
ejpam-5595	52	1	therefore	therefore	ADV
ejpam-5595	52	2	,	,	PUNCT
ejpam-5595	52	3	ehd	ehd	PROPN
ejpam-5595	52	4	is	be	AUX
ejpam-5595	52	5	the	the	DET
ejpam-5595	52	6	study	study	NOUN
ejpam-5595	52	7	of	of	ADP
ejpam-5595	52	8	the	the	DET
ejpam-5595	52	9	interaction	interaction	NOUN
ejpam-5595	52	10	between	between	ADP
ejpam-5595	52	11	fluid	fluid	ADJ
ejpam-5595	52	12	mechanics	mechanic	NOUN
ejpam-5595	52	13	and	and	CCONJ
ejpam-5595	52	14	an	an	DET
ejpam-5595	52	15	electric	electric	ADJ
ejpam-5595	52	16	field	field	NOUN
ejpam-5595	52	17	.	.	PUNCT
ejpam-5595	53	1	melcher	melcher	NOUN
ejpam-5595	54	1	[	[	X
ejpam-5595	54	2	27	27	NUM
ejpam-5595	54	3	]	]	PUNCT
ejpam-5595	54	4	,	,	PUNCT
ejpam-5595	54	5	dasgupta	dasgupta	PROPN
ejpam-5595	54	6	et	et	PROPN
ejpam-5595	54	7	al	al	PROPN
ejpam-5595	54	8	.	.	PUNCT
ejpam-5595	55	1	[	[	X
ejpam-5595	55	2	8	8	NUM
ejpam-5595	55	3	]	]	PUNCT
ejpam-5595	55	4	,	,	PUNCT
ejpam-5595	55	5	koulova	koulova	X
ejpam-5595	55	6	and	and	CCONJ
ejpam-5595	55	7	atten	atten	VERB
ejpam-5595	55	8	[	[	X
ejpam-5595	55	9	21	21	NUM
ejpam-5595	55	10	]	]	PUNCT
ejpam-5595	55	11	,	,	PUNCT
ejpam-5595	55	12	del	del	PROPN
ejpam-5595	55	13	rio	rio	PROPN
ejpam-5595	55	14	and	and	CCONJ
ejpam-5595	55	15	whitaker	whitaker	PROPN
ejpam-5595	56	1	[	[	X
ejpam-5595	56	2	35	35	NUM
ejpam-5595	56	3	]	]	PUNCT
ejpam-5595	56	4	,	,	PUNCT
ejpam-5595	56	5	and	and	CCONJ
ejpam-5595	56	6	bendel	bendel	PROPN
ejpam-5595	56	7	et	et	PROPN
ejpam-5595	56	8	al	al	PROPN
ejpam-5595	56	9	.	.	PUNCT
ejpam-5595	57	1	[	[	X
ejpam-5595	57	2	2	2	X
ejpam-5595	57	3	]	]	PUNCT
ejpam-5595	57	4	have	have	AUX
ejpam-5595	57	5	published	publish	VERB
ejpam-5595	57	6	monographs	monograph	NOUN
ejpam-5595	57	7	that	that	PRON
ejpam-5595	57	8	provide	provide	VERB
ejpam-5595	57	9	a	a	DET
ejpam-5595	57	10	comprehensive	comprehensive	ADJ
ejpam-5595	57	11	overview	overview	NOUN
ejpam-5595	57	12	of	of	ADP
ejpam-5595	57	13	the	the	DET
ejpam-5595	57	14	topic	topic	NOUN
ejpam-5595	57	15	of	of	ADP
ejpam-5595	57	16	ehd	ehd	NOUN
ejpam-5595	57	17	and	and	CCONJ
ejpam-5595	57	18	ehd	ehd	VERB
ejpam-5595	57	19	through	through	ADP
ejpam-5595	57	20	porous	porous	ADJ
ejpam-5595	57	21	media	medium	NOUN
ejpam-5595	57	22	.	.	PUNCT
ejpam-5595	58	1	however	however	ADV
ejpam-5595	58	2	,	,	PUNCT
ejpam-5595	58	3	up	up	ADV
ejpam-5595	58	4	until	until	ADP
ejpam-5595	58	5	now	now	ADV
ejpam-5595	58	6	,	,	PUNCT
ejpam-5595	58	7	very	very	ADV
ejpam-5595	58	8	little	little	ADJ
ejpam-5595	58	9	is	be	AUX
ejpam-5595	58	10	known	know	VERB
ejpam-5595	58	11	regarding	regard	VERB
ejpam-5595	58	12	the	the	DET
ejpam-5595	58	13	process	process	NOUN
ejpam-5595	58	14	of	of	ADP
ejpam-5595	58	15	instability	instability	NOUN
ejpam-5595	58	16	in	in	ADP
ejpam-5595	58	17	electrified	electrify	VERB
ejpam-5595	58	18	viscoelastic	viscoelastic	ADJ
ejpam-5595	58	19	jets	jet	NOUN
ejpam-5595	58	20	.	.	PUNCT
ejpam-5595	59	1	the	the	DET
ejpam-5595	59	2	phenomenon	phenomenon	NOUN
ejpam-5595	59	3	of	of	ADP
ejpam-5595	59	4	ehd	ehd	NOUN
ejpam-5595	59	5	instability	instability	NOUN
ejpam-5595	59	6	in	in	ADP
ejpam-5595	59	7	permeable	permeable	ADJ
ejpam-5595	59	8	media	medium	NOUN
ejpam-5595	59	9	has	have	VERB
ejpam-5595	59	10	applications	application	NOUN
ejpam-5595	59	11	in	in	ADP
ejpam-5595	59	12	many	many	ADJ
ejpam-5595	59	13	different	different	ADJ
ejpam-5595	59	14	domains	domain	NOUN
ejpam-5595	59	15	,	,	PUNCT
ejpam-5595	59	16	including	include	VERB
ejpam-5595	59	17	oil	oil	NOUN
ejpam-5595	59	18	reservoir	reservoir	NOUN
ejpam-5595	59	19	modeling	modeling	NOUN
ejpam-5595	59	20	,	,	PUNCT
ejpam-5595	59	21	the	the	DET
ejpam-5595	59	22	petroleum	petroleum	NOUN
ejpam-5595	59	23	industry	industry	NOUN
ejpam-5595	59	24	,	,	PUNCT
ejpam-5595	59	25	biomechanics	biomechanic	NOUN
ejpam-5595	59	26	,	,	PUNCT
ejpam-5595	59	27	engineering	engineering	NOUN
ejpam-5595	59	28	,	,	PUNCT
ejpam-5595	59	29	micro	micro	ADJ
ejpam-5595	59	30	-	-	ADJ
ejpam-5595	59	31	cooling	cool	VERB
ejpam-5595	59	32	systems	system	NOUN
ejpam-5595	59	33	,	,	PUNCT
ejpam-5595	59	34	nanotechnology	nanotechnology	NOUN
ejpam-5595	59	35	,	,	PUNCT
ejpam-5595	59	36	and	and	CCONJ
ejpam-5595	59	37	the	the	DET
ejpam-5595	59	38	construction	construction	NOUN
ejpam-5595	59	39	of	of	ADP
ejpam-5595	59	40	thermal	thermal	ADJ
ejpam-5595	59	41	insulation	insulation	NOUN
ejpam-5595	60	1	[	[	X
ejpam-5595	60	2	24	24	NUM
ejpam-5595	60	3	,	,	PUNCT
ejpam-5595	60	4	39	39	NUM
ejpam-5595	60	5	]	]	PUNCT
ejpam-5595	60	6	.	.	PUNCT
ejpam-5595	61	1	el	el	PROPN
ejpam-5595	61	2	-	-	PUNCT
ejpam-5595	61	3	sayed	sayed	PROPN
ejpam-5595	62	1	[	[	X
ejpam-5595	62	2	12	12	NUM
ejpam-5595	62	3	]	]	PUNCT
ejpam-5595	62	4	investigated	investigate	VERB
ejpam-5595	62	5	the	the	DET
ejpam-5595	62	6	rayleigh	rayleigh	PROPN
ejpam-5595	62	7	and	and	CCONJ
ejpam-5595	62	8	atomization	atomization	NOUN
ejpam-5595	62	9	modes	mode	NOUN
ejpam-5595	62	10	of	of	ADP
ejpam-5595	62	11	the	the	DET
ejpam-5595	62	12	ehd	ehd	NOUN
ejpam-5595	62	13	instability	instability	NOUN
ejpam-5595	62	14	analysis	analysis	NOUN
ejpam-5595	62	15	of	of	ADP
ejpam-5595	62	16	an	an	DET
ejpam-5595	62	17	inviscid	inviscid	ADJ
ejpam-5595	62	18	liquid	liquid	ADJ
ejpam-5595	62	19	jet	jet	NOUN
ejpam-5595	62	20	with	with	ADP
ejpam-5595	62	21	a	a	DET
ejpam-5595	62	22	parabolic	parabolic	ADJ
ejpam-5595	62	23	velocity	velocity	NOUN
ejpam-5595	62	24	into	into	ADP
ejpam-5595	62	25	a	a	DET
ejpam-5595	62	26	stationary	stationary	ADJ
ejpam-5595	62	27	gas	gas	NOUN
ejpam-5595	62	28	via	via	ADP
ejpam-5595	62	29	a	a	DET
ejpam-5595	62	30	porous	porous	ADJ
ejpam-5595	62	31	media	medium	NOUN
ejpam-5595	62	32	and	and	CCONJ
ejpam-5595	62	33	found	find	VERB
ejpam-5595	62	34	that	that	SCONJ
ejpam-5595	62	35	the	the	DET
ejpam-5595	62	36	instability	instability	NOUN
ejpam-5595	62	37	of	of	ADP
ejpam-5595	62	38	the	the	DET
ejpam-5595	62	39	system	system	NOUN
ejpam-5595	62	40	is	be	AUX
ejpam-5595	62	41	higher	high	ADJ
ejpam-5595	62	42	in	in	ADP
ejpam-5595	62	43	the	the	DET
ejpam-5595	62	44	atomization	atomization	NOUN
ejpam-5595	62	45	mode	mode	NOUN
ejpam-5595	62	46	as	as	SCONJ
ejpam-5595	62	47	compared	compare	VERB
ejpam-5595	62	48	to	to	ADP
ejpam-5595	62	49	the	the	DET
ejpam-5595	62	50	rayleigh	rayleigh	PROPN
ejpam-5595	62	51	mode	mode	NOUN
ejpam-5595	62	52	.	.	PUNCT
ejpam-5595	63	1	thus	thus	ADV
ejpam-5595	63	2	,	,	PUNCT
ejpam-5595	63	3	this	this	DET
ejpam-5595	63	4	study	study	NOUN
ejpam-5595	63	5	’s	’s	PART
ejpam-5595	63	6	objective	objective	NOUN
ejpam-5595	63	7	is	be	AUX
ejpam-5595	63	8	to	to	PART
ejpam-5595	63	9	examine	examine	VERB
ejpam-5595	63	10	the	the	DET
ejpam-5595	63	11	linear	linear	ADJ
ejpam-5595	63	12	instability	instability	NOUN
ejpam-5595	63	13	analysis	analysis	NOUN
ejpam-5595	63	14	mechanism	mechanism	NOUN
ejpam-5595	63	15	of	of	ADP
ejpam-5595	63	16	a	a	DET
ejpam-5595	63	17	viscoelastic	viscoelastic	ADJ
ejpam-5595	63	18	liquid	liquid	ADJ
ejpam-5595	63	19	jet	jet	NOUN
ejpam-5595	63	20	of	of	ADP
ejpam-5595	63	21	walters	walter	NOUN
ejpam-5595	63	22	b′	b′	NUM
ejpam-5595	63	23	with	with	ADP
ejpam-5595	63	24	a	a	DET
ejpam-5595	63	25	parabolic	parabolic	ADJ
ejpam-5595	63	26	velocity	velocity	NOUN
ejpam-5595	63	27	profile	profile	NOUN
ejpam-5595	63	28	surrounded	surround	VERB
ejpam-5595	63	29	by	by	ADP
ejpam-5595	63	30	a	a	DET
ejpam-5595	63	31	viscoelastic	viscoelastic	ADJ
ejpam-5595	63	32	fluid	fluid	NOUN
ejpam-5595	63	33	in	in	ADP
ejpam-5595	63	34	the	the	DET
ejpam-5595	63	35	existence	existence	NOUN
ejpam-5595	63	36	of	of	ADP
ejpam-5595	63	37	an	an	DET
ejpam-5595	63	38	electric	electric	ADJ
ejpam-5595	63	39	field	field	NOUN
ejpam-5595	63	40	in	in	ADP
ejpam-5595	63	41	the	the	DET
ejpam-5595	63	42	axial	axial	ADJ
ejpam-5595	63	43	direction	direction	NOUN
ejpam-5595	63	44	.	.	PUNCT
ejpam-5595	64	1	the	the	DET
ejpam-5595	64	2	instability	instability	NOUN
ejpam-5595	64	3	of	of	ADP
ejpam-5595	64	4	viscoelastic	viscoelastic	ADJ
ejpam-5595	64	5	dielectric	dielectric	ADJ
ejpam-5595	64	6	fluid	fluid	NOUN
ejpam-5595	64	7	with	with	ADP
ejpam-5595	64	8	the	the	DET
ejpam-5595	64	9	existence	existence	NOUN
ejpam-5595	64	10	of	of	ADP
ejpam-5595	64	11	an	an	DET
ejpam-5595	64	12	electric	electric	ADJ
ejpam-5595	64	13	field	field	NOUN
ejpam-5595	64	14	and	and	CCONJ
ejpam-5595	64	15	permeable	permeable	ADJ
ejpam-5595	64	16	medium	medium	NOUN
ejpam-5595	64	17	has	have	AUX
ejpam-5595	64	18	been	be	AUX
ejpam-5595	64	19	investigated	investigate	VERB
ejpam-5595	64	20	by	by	ADP
ejpam-5595	64	21	some	some	DET
ejpam-5595	64	22	researchers	researcher	NOUN
ejpam-5595	64	23	[	[	X
ejpam-5595	64	24	11	11	NUM
ejpam-5595	64	25	,	,	PUNCT
ejpam-5595	64	26	13–15	13–15	NUM
ejpam-5595	64	27	,	,	PUNCT
ejpam-5595	64	28	28	28	NUM
ejpam-5595	64	29	]	]	PUNCT
ejpam-5595	64	30	.	.	PUNCT
ejpam-5595	65	1	the	the	DET
ejpam-5595	65	2	ehd	ehd	NOUN
ejpam-5595	65	3	instability	instability	NOUN
ejpam-5595	65	4	of	of	ADP
ejpam-5595	65	5	wlaters	wlater	NOUN
ejpam-5595	65	6	b′	b′	NUM
ejpam-5595	65	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	65	8	liquid	liquid	ADJ
ejpam-5595	65	9	jet	jet	NOUN
ejpam-5595	65	10	was	be	AUX
ejpam-5595	65	11	investigated	investigate	VERB
ejpam-5595	65	12	in	in	ADP
ejpam-5595	65	13	this	this	DET
ejpam-5595	65	14	m.	m.	NOUN
ejpam-5595	65	15	f.	f.	PROPN
ejpam-5595	65	16	el	el	PROPN
ejpam-5595	65	17	-	-	PUNCT
ejpam-5595	65	18	sayed	sayed	PROPN
ejpam-5595	65	19	,	,	PUNCT
ejpam-5595	65	20	d.	d.	PROPN
ejpam-5595	65	21	m.	m.	PROPN
ejpam-5595	65	22	mostafa	mostafa	PROPN
ejpam-5595	65	23	,	,	PUNCT
ejpam-5595	65	24	a.	a.	PROPN
ejpam-5595	65	25	m.	m.	PROPN
ejpam-5595	65	26	f.	f.	PROPN
ejpam-5595	65	27	alrashdi	alrashdi	PROPN
ejpam-5595	65	28	/	/	SYM
ejpam-5595	65	29	eur	eur	PROPN
ejpam-5595	65	30	.	.	PUNCT
ejpam-5595	66	1	j.	j.	PROPN
ejpam-5595	66	2	pure	pure	PROPN
ejpam-5595	66	3	appl	appl	PROPN
ejpam-5595	66	4	.	.	PROPN
ejpam-5595	66	5	math	math	PROPN
ejpam-5595	66	6	,	,	PUNCT
ejpam-5595	66	7	18	18	NUM
ejpam-5595	66	8	(	(	PUNCT
ejpam-5595	66	9	1	1	NUM
ejpam-5595	66	10	)	)	PUNCT
ejpam-5595	66	11	(	(	PUNCT
ejpam-5595	66	12	2025	2025	NUM
ejpam-5595	66	13	)	)	PUNCT
ejpam-5595	66	14	,	,	PUNCT
ejpam-5595	66	15	5595	5595	NUM
ejpam-5595	66	16	4	4	NUM
ejpam-5595	66	17	of	of	ADP
ejpam-5595	66	18	20	20	NUM
ejpam-5595	66	19	work	work	NOUN
ejpam-5595	66	20	when	when	SCONJ
ejpam-5595	66	21	it	it	PRON
ejpam-5595	66	22	was	be	AUX
ejpam-5595	66	23	injected	inject	VERB
ejpam-5595	66	24	with	with	ADP
ejpam-5595	66	25	variable	variable	ADJ
ejpam-5595	66	26	velocity	velocity	NOUN
ejpam-5595	66	27	into	into	ADP
ejpam-5595	66	28	another	another	DET
ejpam-5595	66	29	viscoelastic	viscoelastic	ADJ
ejpam-5595	66	30	stationary	stationary	ADJ
ejpam-5595	66	31	fluid	fluid	NOUN
ejpam-5595	66	32	through	through	ADP
ejpam-5595	66	33	a	a	DET
ejpam-5595	66	34	porous	porous	ADJ
ejpam-5595	66	35	medium	medium	NOUN
ejpam-5595	66	36	.	.	PUNCT
ejpam-5595	67	1	since	since	SCONJ
ejpam-5595	67	2	we	we	PRON
ejpam-5595	67	3	are	be	AUX
ejpam-5595	67	4	interested	interested	ADJ
ejpam-5595	67	5	in	in	ADP
ejpam-5595	67	6	the	the	DET
ejpam-5595	67	7	area	area	NOUN
ejpam-5595	67	8	directly	directly	ADV
ejpam-5595	67	9	downstream	downstream	ADV
ejpam-5595	67	10	of	of	ADP
ejpam-5595	67	11	the	the	DET
ejpam-5595	67	12	nozzle	nozzle	NOUN
ejpam-5595	67	13	,	,	PUNCT
ejpam-5595	67	14	where	where	SCONJ
ejpam-5595	67	15	the	the	DET
ejpam-5595	67	16	velocity	velocity	NOUN
ejpam-5595	67	17	profile	profile	NOUN
ejpam-5595	67	18	relaxation	relaxation	NOUN
ejpam-5595	67	19	occurs	occur	VERB
ejpam-5595	67	20	,	,	PUNCT
ejpam-5595	67	21	the	the	DET
ejpam-5595	67	22	disturbances	disturbance	NOUN
ejpam-5595	67	23	are	be	AUX
ejpam-5595	67	24	assumed	assume	VERB
ejpam-5595	67	25	to	to	PART
ejpam-5595	67	26	be	be	AUX
ejpam-5595	67	27	axisymmetric	axisymmetric	ADJ
ejpam-5595	67	28	.	.	PUNCT
ejpam-5595	68	1	based	base	VERB
ejpam-5595	68	2	on	on	ADP
ejpam-5595	68	3	the	the	DET
ejpam-5595	68	4	perturbation	perturbation	NOUN
ejpam-5595	68	5	technique	technique	NOUN
ejpam-5595	68	6	and	and	CCONJ
ejpam-5595	68	7	interfacial	interfacial	ADJ
ejpam-5595	68	8	boundary	boundary	ADJ
ejpam-5595	68	9	conditions	condition	NOUN
ejpam-5595	68	10	,	,	PUNCT
ejpam-5595	68	11	the	the	DET
ejpam-5595	68	12	dispersion	dispersion	NOUN
ejpam-5595	68	13	relation	relation	NOUN
ejpam-5595	68	14	for	for	ADP
ejpam-5595	68	15	this	this	DET
ejpam-5595	68	16	system	system	NOUN
ejpam-5595	68	17	of	of	ADP
ejpam-5595	68	18	viscoelastic	viscoelastic	NOUN
ejpam-5595	68	19	fluids	fluid	NOUN
ejpam-5595	68	20	has	have	AUX
ejpam-5595	68	21	been	be	AUX
ejpam-5595	68	22	determined	determine	VERB
ejpam-5595	68	23	.	.	PUNCT
ejpam-5595	69	1	the	the	DET
ejpam-5595	69	2	paper	paper	NOUN
ejpam-5595	69	3	is	be	AUX
ejpam-5595	69	4	structured	structure	VERB
ejpam-5595	69	5	in	in	ADP
ejpam-5595	69	6	the	the	DET
ejpam-5595	69	7	following	follow	VERB
ejpam-5595	69	8	manner	manner	NOUN
ejpam-5595	69	9	:	:	PUNCT
ejpam-5595	69	10	the	the	DET
ejpam-5595	69	11	methodology	methodology	NOUN
ejpam-5595	69	12	of	of	ADP
ejpam-5595	69	13	the	the	DET
ejpam-5595	69	14	problem	problem	NOUN
ejpam-5595	69	15	and	and	CCONJ
ejpam-5595	69	16	the	the	DET
ejpam-5595	69	17	equations	equation	NOUN
ejpam-5595	69	18	of	of	ADP
ejpam-5595	69	19	motion	motion	NOUN
ejpam-5595	69	20	are	be	AUX
ejpam-5595	69	21	presented	present	VERB
ejpam-5595	69	22	in	in	ADP
ejpam-5595	69	23	section	section	NOUN
ejpam-5595	69	24	2	2	NUM
ejpam-5595	69	25	.	.	PUNCT
ejpam-5595	70	1	for	for	ADP
ejpam-5595	70	2	the	the	DET
ejpam-5595	70	3	disturbed	disturbed	ADJ
ejpam-5595	70	4	flow	flow	NOUN
ejpam-5595	70	5	in	in	ADP
ejpam-5595	70	6	both	both	DET
ejpam-5595	70	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	70	8	fluids	fluid	NOUN
ejpam-5595	70	9	,	,	PUNCT
ejpam-5595	70	10	we	we	PRON
ejpam-5595	70	11	have	have	AUX
ejpam-5595	70	12	obtained	obtain	VERB
ejpam-5595	70	13	non	non	ADJ
ejpam-5595	70	14	-	-	ADJ
ejpam-5595	70	15	dimensional	dimensional	ADJ
ejpam-5595	70	16	linearized	linearize	VERB
ejpam-5595	70	17	differential	differential	ADJ
ejpam-5595	70	18	equations	equation	NOUN
ejpam-5595	70	19	with	with	ADP
ejpam-5595	70	20	solutions	solution	NOUN
ejpam-5595	70	21	and	and	CCONJ
ejpam-5595	70	22	the	the	DET
ejpam-5595	70	23	boundary	boundary	ADJ
ejpam-5595	70	24	conditions	condition	NOUN
ejpam-5595	70	25	in	in	ADP
ejpam-5595	70	26	sections	section	NOUN
ejpam-5595	70	27	3	3	NUM
ejpam-5595	70	28	and	and	CCONJ
ejpam-5595	70	29	4	4	NUM
ejpam-5595	70	30	using	use	VERB
ejpam-5595	70	31	the	the	DET
ejpam-5595	70	32	normal	normal	ADJ
ejpam-5595	70	33	modes	mode	NOUN
ejpam-5595	70	34	approach	approach	NOUN
ejpam-5595	70	35	.	.	PUNCT
ejpam-5595	71	1	in	in	ADP
ejpam-5595	71	2	section	section	NOUN
ejpam-5595	71	3	.	.	PUNCT
ejpam-5595	72	1	5	5	NUM
ejpam-5595	72	2	,	,	PUNCT
ejpam-5595	72	3	we	we	PRON
ejpam-5595	72	4	derived	derive	VERB
ejpam-5595	72	5	the	the	DET
ejpam-5595	72	6	dimensionless	dimensionless	NOUN
ejpam-5595	72	7	dispersion	dispersion	NOUN
ejpam-5595	72	8	relationship	relationship	NOUN
ejpam-5595	72	9	and	and	CCONJ
ejpam-5595	72	10	recovered	recover	VERB
ejpam-5595	72	11	some	some	DET
ejpam-5595	72	12	limiting	limit	VERB
ejpam-5595	72	13	cases	case	NOUN
ejpam-5595	72	14	studied	study	VERB
ejpam-5595	72	15	before	before	ADV
ejpam-5595	72	16	.	.	PUNCT
ejpam-5595	73	1	section	section	NOUN
ejpam-5595	73	2	6	6	NUM
ejpam-5595	73	3	presents	present	VERB
ejpam-5595	73	4	the	the	DET
ejpam-5595	73	5	impact	impact	NOUN
ejpam-5595	73	6	of	of	ADP
ejpam-5595	73	7	every	every	DET
ejpam-5595	73	8	parameter	parameter	NOUN
ejpam-5595	73	9	on	on	ADP
ejpam-5595	73	10	the	the	DET
ejpam-5595	73	11	system	system	NOUN
ejpam-5595	73	12	’s	’s	PART
ejpam-5595	73	13	stability	stability	NOUN
ejpam-5595	73	14	.	.	PUNCT
ejpam-5595	74	1	lastly	lastly	ADV
ejpam-5595	74	2	,	,	PUNCT
ejpam-5595	74	3	section	section	NOUN
ejpam-5595	74	4	7	7	NUM
ejpam-5595	74	5	presents	present	VERB
ejpam-5595	74	6	the	the	DET
ejpam-5595	74	7	closing	closing	NOUN
ejpam-5595	74	8	remarks	remark	NOUN
ejpam-5595	74	9	derived	derive	VERB
ejpam-5595	74	10	from	from	ADP
ejpam-5595	74	11	the	the	DET
ejpam-5595	74	12	acquired	acquire	VERB
ejpam-5595	74	13	results	result	NOUN
ejpam-5595	74	14	.	.	PUNCT
ejpam-5595	75	1	2	2	X
ejpam-5595	75	2	.	.	X
ejpam-5595	75	3	methodology	methodology	NOUN
ejpam-5595	75	4	of	of	ADP
ejpam-5595	75	5	problem	problem	NOUN
ejpam-5595	75	6	consider	consider	VERB
ejpam-5595	75	7	a	a	DET
ejpam-5595	75	8	viscoelastic	viscoelastic	ADJ
ejpam-5595	75	9	dielectric	dielectric	ADJ
ejpam-5595	75	10	liquid	liquid	ADJ
ejpam-5595	75	11	jet	jet	NOUN
ejpam-5595	75	12	(	(	PUNCT
ejpam-5595	75	13	of	of	ADP
ejpam-5595	75	14	walters	walters	PROPN
ejpam-5595	75	15	b′	b′	NUM
ejpam-5595	75	16	type	type	NOUN
ejpam-5595	75	17	)	)	PUNCT
ejpam-5595	75	18	of	of	ADP
ejpam-5595	75	19	radius	radius	NOUN
ejpam-5595	75	20	a	a	DET
ejpam-5595	75	21	which	which	PRON
ejpam-5595	75	22	is	be	AUX
ejpam-5595	75	23	fired	fire	VERB
ejpam-5595	75	24	from	from	ADP
ejpam-5595	75	25	a	a	DET
ejpam-5595	75	26	nozzle	nozzle	NOUN
ejpam-5595	75	27	at	at	ADP
ejpam-5595	75	28	an	an	DET
ejpam-5595	75	29	axial	axial	ADJ
ejpam-5595	75	30	velocity	velocity	NOUN
ejpam-5595	75	31	(	(	PUNCT
ejpam-5595	75	32	0	0	NUM
ejpam-5595	75	33	,	,	PUNCT
ejpam-5595	75	34	0,w	0,w	NUM
ejpam-5595	75	35	)	)	PUNCT
ejpam-5595	75	36	into	into	ADP
ejpam-5595	75	37	an	an	DET
ejpam-5595	75	38	otherwise	otherwise	ADV
ejpam-5595	75	39	quiescent	quiescent	ADJ
ejpam-5595	75	40	stationary	stationary	ADJ
ejpam-5595	75	41	viscoelastic	viscoelastic	ADJ
ejpam-5595	75	42	dielectric	dielectric	ADJ
ejpam-5595	75	43	fluid	fluid	ADJ
ejpam-5595	75	44	environment	environment	NOUN
ejpam-5595	75	45	of	of	ADP
ejpam-5595	75	46	the	the	DET
ejpam-5595	75	47	same	same	ADJ
ejpam-5595	75	48	type	type	NOUN
ejpam-5595	75	49	via	via	ADP
ejpam-5595	75	50	a	a	DET
ejpam-5595	75	51	medium	medium	NOUN
ejpam-5595	75	52	with	with	ADP
ejpam-5595	75	53	porosity	porosity	NOUN
ejpam-5595	75	54	m	m	NOUN
ejpam-5595	75	55	,	,	PUNCT
ejpam-5595	75	56	and	and	CCONJ
ejpam-5595	75	57	medium	medium	ADJ
ejpam-5595	75	58	permeability	permeability	NOUN
ejpam-5595	75	59	k1	k1	NOUN
ejpam-5595	75	60	.	.	PUNCT
ejpam-5595	76	1	the	the	DET
ejpam-5595	76	2	two	two	NUM
ejpam-5595	76	3	viscoelastic	viscoelastic	ADJ
ejpam-5595	76	4	incompressible	incompressible	ADJ
ejpam-5595	76	5	fluids	fluid	NOUN
ejpam-5595	76	6	are	be	AUX
ejpam-5595	76	7	of	of	ADP
ejpam-5595	76	8	uniform	uniform	ADJ
ejpam-5595	76	9	densities	density	NOUN
ejpam-5595	76	10	ρ1	ρ1	NOUN
ejpam-5595	76	11	and	and	CCONJ
ejpam-5595	76	12	ρ2	ρ2	NOUN
ejpam-5595	76	13	,	,	PUNCT
ejpam-5595	76	14	dielectric	dielectric	ADJ
ejpam-5595	76	15	constants	constant	NOUN
ejpam-5595	76	16	ϵ1	ϵ1	ADJ
ejpam-5595	76	17	and	and	CCONJ
ejpam-5595	76	18	ϵ2	ϵ2	ADJ
ejpam-5595	76	19	,	,	PUNCT
ejpam-5595	76	20	dynamic	dynamic	ADJ
ejpam-5595	76	21	viscosities	viscosity	NOUN
ejpam-5595	76	22	µ1	µ1	VERB
ejpam-5595	76	23	(=	(=	AUX
ejpam-5595	77	1	ρ1ν1)and	ρ1ν1)and	VERB
ejpam-5595	78	1	µ2	µ2	NOUN
ejpam-5595	78	2	(=	(=	PUNCT
ejpam-5595	78	3	ρ2ν2	ρ2ν2	NOUN
ejpam-5595	78	4	)	)	PUNCT
ejpam-5595	78	5	,	,	PUNCT
ejpam-5595	78	6	uniform	uniform	ADJ
ejpam-5595	78	7	dynamic	dynamic	ADJ
ejpam-5595	78	8	viscoelasticities	viscoelasticitie	NOUN
ejpam-5595	78	9	µ′1	µ′1	X
ejpam-5595	78	10	(=	(=	PUNCT
ejpam-5595	79	1	ρ1ν	ρ1ν	INTJ
ejpam-5595	80	1	′	′	NUM
ejpam-5595	80	2	1	1	NUM
ejpam-5595	80	3	)	)	PUNCT
ejpam-5595	80	4	and	and	CCONJ
ejpam-5595	80	5	µ	µ	PRON
ejpam-5595	80	6	′	′	NUM
ejpam-5595	80	7	2	2	NUM
ejpam-5595	80	8	(=	(=	NOUN
ejpam-5595	80	9	ρ2ν	ρ2ν	PRON
ejpam-5595	80	10	′	′	NOUN
ejpam-5595	80	11	2	2	NUM
ejpam-5595	80	12	)	)	PUNCT
ejpam-5595	80	13	,	,	PUNCT
ejpam-5595	80	14	such	such	ADJ
ejpam-5595	80	15	that	that	SCONJ
ejpam-5595	80	16	subscripts	subscript	NOUN
ejpam-5595	80	17	1	1	NUM
ejpam-5595	80	18	and	and	CCONJ
ejpam-5595	80	19	2	2	NUM
ejpam-5595	80	20	distinguish	distinguish	VERB
ejpam-5595	80	21	the	the	DET
ejpam-5595	80	22	two	two	NUM
ejpam-5595	80	23	viscoelastic	viscoelastic	ADJ
ejpam-5595	80	24	fluids	fluid	NOUN
ejpam-5595	80	25	,	,	PUNCT
ejpam-5595	80	26	where	where	SCONJ
ejpam-5595	80	27	subscript	subscript	NOUN
ejpam-5595	80	28	2	2	NUM
ejpam-5595	80	29	indicates	indicate	VERB
ejpam-5595	80	30	the	the	DET
ejpam-5595	80	31	surrounded	surround	VERB
ejpam-5595	80	32	fluid	fluid	NOUN
ejpam-5595	80	33	(	(	PUNCT
ejpam-5595	80	34	fluid	fluid	NOUN
ejpam-5595	80	35	1	1	NUM
ejpam-5595	80	36	is	be	AUX
ejpam-5595	80	37	the	the	DET
ejpam-5595	80	38	jet	jet	NOUN
ejpam-5595	80	39	fluid	fluid	NOUN
ejpam-5595	80	40	)	)	PUNCT
ejpam-5595	80	41	.	.	PUNCT
ejpam-5595	81	1	additionally	additionally	ADV
ejpam-5595	81	2	,	,	PUNCT
ejpam-5595	81	3	suppose	suppose	VERB
ejpam-5595	81	4	that	that	SCONJ
ejpam-5595	81	5	the	the	DET
ejpam-5595	81	6	entire	entire	ADJ
ejpam-5595	81	7	system	system	NOUN
ejpam-5595	81	8	is	be	AUX
ejpam-5595	81	9	influenced	influence	VERB
ejpam-5595	81	10	by	by	ADP
ejpam-5595	81	11	a	a	DET
ejpam-5595	81	12	constant	constant	ADJ
ejpam-5595	81	13	electric	electric	ADJ
ejpam-5595	81	14	field	field	NOUN
ejpam-5595	81	15	e0	e0	PROPN
ejpam-5595	81	16	in	in	ADP
ejpam-5595	81	17	an	an	DET
ejpam-5595	81	18	axial	axial	ADJ
ejpam-5595	81	19	direction	direction	NOUN
ejpam-5595	81	20	.	.	PUNCT
ejpam-5595	82	1	the	the	DET
ejpam-5595	82	2	centerline	centerline	NOUN
ejpam-5595	82	3	of	of	ADP
ejpam-5595	82	4	the	the	DET
ejpam-5595	82	5	unperturbed	unperturbed	ADJ
ejpam-5595	82	6	jet	jet	NOUN
ejpam-5595	82	7	coincides	coincide	VERB
ejpam-5595	82	8	with	with	ADP
ejpam-5595	82	9	the	the	DET
ejpam-5595	82	10	z	z	NOUN
ejpam-5595	82	11	-	-	PUNCT
ejpam-5595	82	12	axis	axis	NOUN
ejpam-5595	82	13	,	,	PUNCT
ejpam-5595	82	14	which	which	PRON
ejpam-5595	82	15	is	be	AUX
ejpam-5595	82	16	perpendicular	perpendicular	ADJ
ejpam-5595	82	17	to	to	ADP
ejpam-5595	82	18	the	the	DET
ejpam-5595	82	19	r	r	NOUN
ejpam-5595	82	20	-	-	PUNCT
ejpam-5595	82	21	axis	axis	NOUN
ejpam-5595	82	22	.	.	PUNCT
ejpam-5595	83	1	figure	figure	NOUN
ejpam-5595	83	2	1	1	NUM
ejpam-5595	83	3	:	:	PUNCT
ejpam-5595	83	4	physical	physical	ADJ
ejpam-5595	83	5	configuration	configuration	NOUN
ejpam-5595	83	6	of	of	ADP
ejpam-5595	83	7	the	the	DET
ejpam-5595	83	8	problem	problem	NOUN
ejpam-5595	83	9	.	.	PUNCT
ejpam-5595	84	1	the	the	DET
ejpam-5595	84	2	basic	basic	ADJ
ejpam-5595	84	3	equations	equation	NOUN
ejpam-5595	84	4	of	of	ADP
ejpam-5595	84	5	motion	motion	NOUN
ejpam-5595	84	6	and	and	CCONJ
ejpam-5595	84	7	continuity	continuity	NOUN
ejpam-5595	84	8	for	for	ADP
ejpam-5595	84	9	the	the	DET
ejpam-5595	84	10	walters	walters	PROPN
ejpam-5595	84	11	b′	b′	NUM
ejpam-5595	84	12	viscoelastic	viscoelastic	NOUN
ejpam-5595	84	13	fluids	fluid	NOUN
ejpam-5595	84	14	via	via	ADP
ejpam-5595	84	15	a	a	DET
ejpam-5595	84	16	porous	porous	ADJ
ejpam-5595	84	17	media	medium	NOUN
ejpam-5595	84	18	,	,	PUNCT
ejpam-5595	84	19	in	in	ADP
ejpam-5595	84	20	the	the	DET
ejpam-5595	84	21	two	two	NUM
ejpam-5595	84	22	-	-	PUNCT
ejpam-5595	84	23	dimensional	dimensional	ADJ
ejpam-5595	84	24	cylindrical	cylindrical	ADJ
ejpam-5595	84	25	coordinate	coordinate	NOUN
ejpam-5595	84	26	system	system	NOUN
ejpam-5595	84	27	(	(	PUNCT
ejpam-5595	84	28	r	r	NOUN
ejpam-5595	84	29	,	,	PUNCT
ejpam-5595	84	30	z	z	NOUN
ejpam-5595	84	31	)	)	PUNCT
ejpam-5595	84	32	can	can	AUX
ejpam-5595	84	33	be	be	AUX
ejpam-5595	84	34	represented	represent	VERB
ejpam-5595	84	35	as	as	SCONJ
ejpam-5595	84	36	follows	follow	VERB
ejpam-5595	84	37	[	[	X
ejpam-5595	84	38	11	11	NUM
ejpam-5595	84	39	,	,	PUNCT
ejpam-5595	84	40	16	16	NUM
ejpam-5595	84	41	]	]	X
ejpam-5595	84	42	:	:	PUNCT
ejpam-5595	84	43	m.	m.	PROPN
ejpam-5595	84	44	f.	f.	PROPN
ejpam-5595	84	45	el	el	PROPN
ejpam-5595	84	46	-	-	PUNCT
ejpam-5595	84	47	sayed	sayed	PROPN
ejpam-5595	84	48	,	,	PUNCT
ejpam-5595	84	49	d.	d.	PROPN
ejpam-5595	84	50	m.	m.	PROPN
ejpam-5595	84	51	mostafa	mostafa	PROPN
ejpam-5595	84	52	,	,	PUNCT
ejpam-5595	84	53	a.	a.	PROPN
ejpam-5595	84	54	m.	m.	PROPN
ejpam-5595	84	55	f.	f.	PROPN
ejpam-5595	84	56	alrashdi	alrashdi	PROPN
ejpam-5595	84	57	/	/	SYM
ejpam-5595	84	58	eur	eur	PROPN
ejpam-5595	84	59	.	.	PUNCT
ejpam-5595	85	1	j.	j.	PROPN
ejpam-5595	85	2	pure	pure	PROPN
ejpam-5595	85	3	appl	appl	PROPN
ejpam-5595	85	4	.	.	PROPN
ejpam-5595	85	5	math	math	PROPN
ejpam-5595	85	6	,	,	PUNCT
ejpam-5595	85	7	18	18	NUM
ejpam-5595	85	8	(	(	PUNCT
ejpam-5595	85	9	1	1	NUM
ejpam-5595	85	10	)	)	PUNCT
ejpam-5595	85	11	(	(	PUNCT
ejpam-5595	85	12	2025	2025	NUM
ejpam-5595	85	13	)	)	PUNCT
ejpam-5595	85	14	,	,	PUNCT
ejpam-5595	85	15	5595	5595	NUM
ejpam-5595	85	16	5	5	NUM
ejpam-5595	85	17	of	of	ADP
ejpam-5595	85	18	20	20	NUM
ejpam-5595	85	19	ρ	ρ	NUM
ejpam-5595	85	20	m	m	NOUN
ejpam-5595	85	21	[	[	PUNCT
ejpam-5595	85	22	∂u	∂u	PROPN
ejpam-5595	85	23	∂t	∂t	PROPN
ejpam-5595	85	24	+	+	CCONJ
ejpam-5595	85	25	1	1	NUM
ejpam-5595	85	26	m	m	NOUN
ejpam-5595	85	27	(	(	PUNCT
ejpam-5595	85	28	u	u	NOUN
ejpam-5595	85	29	∂u	∂u	PROPN
ejpam-5595	86	1	∂r	∂r	PROPN
ejpam-5595	87	1	+	+	NUM
ejpam-5595	87	2	w	w	PROPN
ejpam-5595	87	3	∂u	∂u	PROPN
ejpam-5595	87	4	∂z	∂z	PROPN
ejpam-5595	88	1	−	−	PRON
ejpam-5595	88	2	v2	v2	NOUN
ejpam-5595	88	3	r	r	NOUN
ejpam-5595	88	4	)	)	PUNCT
ejpam-5595	88	5	]	]	PUNCT
ejpam-5595	88	6	=	=	PUNCT
ejpam-5595	89	1	−∂p	−∂p	PROPN
ejpam-5595	90	1	∂r	∂r	NOUN
ejpam-5595	90	2	−	−	NUM
ejpam-5595	90	3	1	1	NUM
ejpam-5595	90	4	k1	k1	NOUN
ejpam-5595	90	5	(	(	PUNCT
ejpam-5595	90	6	µ−	µ−	PROPN
ejpam-5595	90	7	µ′	µ′	NOUN
ejpam-5595	90	8	∂	∂	NUM
ejpam-5595	90	9	∂t	∂t	PROPN
ejpam-5595	90	10	)	)	PUNCT
ejpam-5595	90	11	u	u	NOUN
ejpam-5595	90	12	,	,	PUNCT
ejpam-5595	90	13	(	(	PUNCT
ejpam-5595	90	14	1	1	X
ejpam-5595	90	15	)	)	PUNCT
ejpam-5595	90	16	ρ	ρ	PROPN
ejpam-5595	90	17	m	m	PROPN
ejpam-5595	90	18	[	[	PUNCT
ejpam-5595	90	19	∂w	∂w	PROPN
ejpam-5595	90	20	∂t	∂t	PROPN
ejpam-5595	91	1	+	+	CCONJ
ejpam-5595	91	2	1	1	NUM
ejpam-5595	91	3	m	m	NOUN
ejpam-5595	91	4	(	(	PUNCT
ejpam-5595	91	5	u	u	NOUN
ejpam-5595	91	6	∂w	∂w	PROPN
ejpam-5595	92	1	∂r	∂r	NOUN
ejpam-5595	93	1	+	+	NUM
ejpam-5595	93	2	w	w	PROPN
ejpam-5595	93	3	∂w	∂w	PROPN
ejpam-5595	93	4	∂z	∂z	PROPN
ejpam-5595	93	5	)	)	PUNCT
ejpam-5595	93	6	]	]	PUNCT
ejpam-5595	94	1	=	=	PUNCT
ejpam-5595	94	2	−∂p	−∂p	PROPN
ejpam-5595	94	3	∂z	∂z	PROPN
ejpam-5595	94	4	−	−	NUM
ejpam-5595	94	5	1	1	NUM
ejpam-5595	94	6	k1	k1	NOUN
ejpam-5595	94	7	(	(	PUNCT
ejpam-5595	94	8	µ−	µ−	PROPN
ejpam-5595	94	9	µ′	µ′	NOUN
ejpam-5595	94	10	∂	∂	NUM
ejpam-5595	94	11	∂t	∂t	PROPN
ejpam-5595	94	12	)	)	PUNCT
ejpam-5595	94	13	w	w	PROPN
ejpam-5595	94	14	,	,	PUNCT
ejpam-5595	94	15	(	(	PUNCT
ejpam-5595	94	16	2	2	NUM
ejpam-5595	94	17	)	)	PUNCT
ejpam-5595	94	18	∂u	∂u	NOUN
ejpam-5595	95	1	∂r	∂r	PROPN
ejpam-5595	96	1	+	+	NUM
ejpam-5595	96	2	u	u	NOUN
ejpam-5595	96	3	r	r	NOUN
ejpam-5595	96	4	+	+	NOUN
ejpam-5595	96	5	∂w	∂w	PROPN
ejpam-5595	96	6	∂z	∂z	PROPN
ejpam-5595	96	7	=	=	NOUN
ejpam-5595	96	8	0	0	PROPN
ejpam-5595	96	9	.	.	PUNCT
ejpam-5595	97	1	(	(	PUNCT
ejpam-5595	97	2	3	3	X
ejpam-5595	97	3	)	)	PUNCT
ejpam-5595	97	4	where	where	SCONJ
ejpam-5595	97	5	(	(	PUNCT
ejpam-5595	97	6	u	u	NOUN
ejpam-5595	97	7	,	,	PUNCT
ejpam-5595	97	8	v	v	NOUN
ejpam-5595	97	9	,	,	PUNCT
ejpam-5595	97	10	w	w	NOUN
ejpam-5595	97	11	)	)	PUNCT
ejpam-5595	97	12	are	be	AUX
ejpam-5595	97	13	the	the	DET
ejpam-5595	97	14	components	component	NOUN
ejpam-5595	97	15	of	of	ADP
ejpam-5595	97	16	velocity	velocity	NOUN
ejpam-5595	97	17	.	.	PUNCT
ejpam-5595	98	1	the	the	DET
ejpam-5595	98	2	dielectric	dielectric	ADJ
ejpam-5595	98	3	constant	constant	ADJ
ejpam-5595	98	4	and	and	CCONJ
ejpam-5595	98	5	electric	electric	ADJ
ejpam-5595	98	6	field	field	NOUN
ejpam-5595	98	7	are	be	AUX
ejpam-5595	98	8	represented	represent	VERB
ejpam-5595	98	9	by	by	ADP
ejpam-5595	98	10	ϵ	ϵ	PROPN
ejpam-5595	98	11	and	and	CCONJ
ejpam-5595	98	12	e	e	NOUN
ejpam-5595	98	13	,	,	PUNCT
ejpam-5595	98	14	respectively	respectively	ADV
ejpam-5595	98	15	.	.	PUNCT
ejpam-5595	99	1	we	we	PRON
ejpam-5595	99	2	’ll	’ll	AUX
ejpam-5595	99	3	assume	assume	VERB
ejpam-5595	99	4	that	that	SCONJ
ejpam-5595	99	5	the	the	DET
ejpam-5595	99	6	electric	electric	ADJ
ejpam-5595	99	7	field	field	NOUN
ejpam-5595	99	8	e	e	NOUN
ejpam-5595	99	9	is	be	AUX
ejpam-5595	99	10	non	non	ADJ
ejpam-5595	99	11	-	-	ADJ
ejpam-5595	99	12	rotational	rotational	ADJ
ejpam-5595	99	13	since	since	SCONJ
ejpam-5595	99	14	an	an	DET
ejpam-5595	99	15	approximation	approximation	NOUN
ejpam-5595	99	16	of	of	ADP
ejpam-5595	99	17	quasi	quasi	ADJ
ejpam-5595	99	18	-	-	ADJ
ejpam-5595	99	19	static	static	ADJ
ejpam-5595	99	20	behavior	behavior	NOUN
ejpam-5595	99	21	is	be	AUX
ejpam-5595	99	22	valid	valid	ADJ
ejpam-5595	99	23	.	.	PUNCT
ejpam-5595	100	1	as	as	ADP
ejpam-5595	100	2	a	a	DET
ejpam-5595	100	3	result	result	NOUN
ejpam-5595	100	4	,	,	PUNCT
ejpam-5595	100	5	the	the	DET
ejpam-5595	100	6	electrical	electrical	ADJ
ejpam-5595	100	7	equations	equation	NOUN
ejpam-5595	100	8	are	be	AUX
ejpam-5595	100	9	given	give	VERB
ejpam-5595	100	10	by	by	ADP
ejpam-5595	100	11	[	[	PUNCT
ejpam-5595	100	12	31	31	NUM
ejpam-5595	100	13	]	]	NUM
ejpam-5595	100	14	:	:	PUNCT
ejpam-5595	100	15	∇	∇	X
ejpam-5595	100	16	·	·	PUNCT
ejpam-5595	100	17	(	(	PUNCT
ejpam-5595	100	18	ϵ	ϵ	X
ejpam-5595	100	19	e	e	NOUN
ejpam-5595	100	20	)	)	PUNCT
ejpam-5595	100	21	=	=	SYM
ejpam-5595	100	22	0	0	NUM
ejpam-5595	100	23	,	,	PUNCT
ejpam-5595	100	24	∇×e	∇×e	NOUN
ejpam-5595	100	25	=	=	SYM
ejpam-5595	100	26	0	0	NUM
ejpam-5595	100	27	and	and	CCONJ
ejpam-5595	100	28	e	e	NOUN
ejpam-5595	100	29	=	=	SYM
ejpam-5595	101	1	−	−	PROPN
ejpam-5595	101	2	∇φ	∇φ	PROPN
ejpam-5595	101	3	.	.	PUNCT
ejpam-5595	102	1	(	(	PUNCT
ejpam-5595	102	2	4	4	X
ejpam-5595	102	3	)	)	PUNCT
ejpam-5595	102	4	the	the	DET
ejpam-5595	102	5	interface	interface	NOUN
ejpam-5595	102	6	between	between	ADP
ejpam-5595	102	7	the	the	DET
ejpam-5595	102	8	two	two	NUM
ejpam-5595	102	9	walters	walters	PROPN
ejpam-5595	102	10	b′	b′	NUM
ejpam-5595	102	11	viscoelastic	viscoelastic	NOUN
ejpam-5595	102	12	fluids	fluid	NOUN
ejpam-5595	102	13	is	be	AUX
ejpam-5595	102	14	defined	define	VERB
ejpam-5595	102	15	by	by	ADP
ejpam-5595	102	16	f	f	PROPN
ejpam-5595	102	17	=	=	SYM
ejpam-5595	102	18	r−η	r−η	PROPN
ejpam-5595	102	19	,	,	PUNCT
ejpam-5595	102	20	where	where	SCONJ
ejpam-5595	102	21	the	the	DET
ejpam-5595	102	22	following	follow	VERB
ejpam-5595	102	23	is	be	AUX
ejpam-5595	102	24	the	the	DET
ejpam-5595	102	25	expression	expression	NOUN
ejpam-5595	102	26	for	for	ADP
ejpam-5595	102	27	the	the	DET
ejpam-5595	102	28	unit	unit	NOUN
ejpam-5595	102	29	vector	vector	NOUN
ejpam-5595	102	30	n	n	PRON
ejpam-5595	102	31	perpendicular	perpendicular	NOUN
ejpam-5595	102	32	to	to	ADP
ejpam-5595	102	33	the	the	DET
ejpam-5595	102	34	interface	interface	NOUN
ejpam-5595	102	35	:	:	PUNCT
ejpam-5595	102	36	n	n	NOUN
ejpam-5595	102	37	=	=	SYM
ejpam-5595	102	38	∇f	∇f	NOUN
ejpam-5595	102	39	|∇f	|∇f	PROPN
ejpam-5595	102	40	|	|	ADV
ejpam-5595	102	41	.	.	PUNCT
ejpam-5595	103	1	(	(	PUNCT
ejpam-5595	103	2	5	5	NUM
ejpam-5595	103	3	)	)	PUNCT
ejpam-5595	103	4	3	3	NUM
ejpam-5595	103	5	.	.	PUNCT
ejpam-5595	103	6	perturbation	perturbation	NOUN
ejpam-5595	103	7	equations	equation	NOUN
ejpam-5595	103	8	and	and	CCONJ
ejpam-5595	103	9	normal	normal	ADJ
ejpam-5595	103	10	mode	mode	NOUN
ejpam-5595	103	11	analysis	analysis	NOUN
ejpam-5595	103	12	due	due	ADP
ejpam-5595	103	13	to	to	ADP
ejpam-5595	103	14	a	a	DET
ejpam-5595	103	15	disturbance	disturbance	NOUN
ejpam-5595	103	16	,	,	PUNCT
ejpam-5595	103	17	let	let	VERB
ejpam-5595	103	18	the	the	DET
ejpam-5595	103	19	components	component	NOUN
ejpam-5595	103	20	of	of	ADP
ejpam-5595	103	21	electric	electric	ADJ
ejpam-5595	103	22	fields	field	NOUN
ejpam-5595	103	23	,	,	PUNCT
ejpam-5595	103	24	electric	electric	ADJ
ejpam-5595	103	25	potentials	potential	NOUN
ejpam-5595	103	26	,	,	PUNCT
ejpam-5595	103	27	fluid	fluid	ADJ
ejpam-5595	103	28	pressures	pressure	NOUN
ejpam-5595	103	29	,	,	PUNCT
ejpam-5595	103	30	and	and	CCONJ
ejpam-5595	103	31	velocities	velocity	NOUN
ejpam-5595	103	32	in	in	ADP
ejpam-5595	103	33	the	the	DET
ejpam-5595	103	34	perturbed	perturb	VERB
ejpam-5595	103	35	state	state	NOUN
ejpam-5595	103	36	be	be	AUX
ejpam-5595	103	37	(	(	PUNCT
ejpam-5595	103	38	e0	e0	PROPN
ejpam-5595	103	39	+	+	CCONJ
ejpam-5595	103	40	ê	ê	PROPN
ejpam-5595	103	41	)	)	PUNCT
ejpam-5595	103	42	,	,	PUNCT
ejpam-5595	103	43	(	(	PUNCT
ejpam-5595	103	44	φ0	φ0	PROPN
ejpam-5595	103	45	+	+	NUM
ejpam-5595	103	46	φ̂	φ̂	NUM
ejpam-5595	103	47	)	)	PUNCT
ejpam-5595	103	48	,	,	PUNCT
ejpam-5595	103	49	(	(	PUNCT
ejpam-5595	103	50	p0	p0	NOUN
ejpam-5595	103	51	+	+	CCONJ
ejpam-5595	103	52	p̂	p̂	X
ejpam-5595	103	53	)	)	PUNCT
ejpam-5595	103	54	,	,	PUNCT
ejpam-5595	103	55	and	and	CCONJ
ejpam-5595	103	56	(	(	PUNCT
ejpam-5595	103	57	û	û	NUM
ejpam-5595	103	58	,	,	PUNCT
ejpam-5595	103	59	v̂	v̂	NOUN
ejpam-5595	103	60	,	,	PUNCT
ejpam-5595	103	61	(	(	PUNCT
ejpam-5595	103	62	w	w	NOUN
ejpam-5595	103	63	+	+	NOUN
ejpam-5595	103	64	ŵ	ŵ	NUM
ejpam-5595	103	65	)	)	PUNCT
ejpam-5595	103	66	)	)	PUNCT
ejpam-5595	103	67	,	,	PUNCT
ejpam-5595	103	68	then	then	ADV
ejpam-5595	103	69	the	the	DET
ejpam-5595	103	70	linearizations	linearization	NOUN
ejpam-5595	103	71	of	of	ADP
ejpam-5595	103	72	eqs	eqs	PROPN
ejpam-5595	103	73	.	.	PUNCT
ejpam-5595	104	1	(	(	PUNCT
ejpam-5595	104	2	1)-(4	1)-(4	NUM
ejpam-5595	104	3	)	)	PUNCT
ejpam-5595	104	4	result	result	NOUN
ejpam-5595	104	5	in	in	ADP
ejpam-5595	104	6	the	the	DET
ejpam-5595	104	7	perturbation	perturbation	NOUN
ejpam-5595	104	8	equations	equation	NOUN
ejpam-5595	104	9	shown	show	VERB
ejpam-5595	104	10	below	below	ADP
ejpam-5595	104	11	:	:	PUNCT
ejpam-5595	105	1	ρj	ρj	INTJ
ejpam-5595	105	2	m	m	VERB
ejpam-5595	105	3	[	[	PUNCT
ejpam-5595	105	4	∂ûj	∂ûj	PROPN
ejpam-5595	105	5	∂t	∂t	PROPN
ejpam-5595	106	1	+	+	CCONJ
ejpam-5595	106	2	1	1	NUM
ejpam-5595	106	3	m	m	NOUN
ejpam-5595	106	4	(	(	PUNCT
ejpam-5595	106	5	δj1w	δj1w	PROPN
ejpam-5595	106	6	∂ûj	∂ûj	PROPN
ejpam-5595	106	7	∂z	∂z	PROPN
ejpam-5595	106	8	)	)	PUNCT
ejpam-5595	106	9	]	]	PUNCT
ejpam-5595	107	1	=	=	PUNCT
ejpam-5595	107	2	−∂p̂j	−∂p̂j	NUM
ejpam-5595	108	1	∂r	∂r	INTJ
ejpam-5595	108	2	−	−	NOUN
ejpam-5595	109	1	ρj	ρj	INTJ
ejpam-5595	109	2	k1	k1	PROPN
ejpam-5595	109	3	(	(	PUNCT
ejpam-5595	109	4	νj	νj	NOUN
ejpam-5595	109	5	−	−	NOUN
ejpam-5595	109	6	ν	ν	NOUN
ejpam-5595	109	7	′j	′j	NOUN
ejpam-5595	109	8	∂	∂	X
ejpam-5595	109	9	∂t	∂t	PROPN
ejpam-5595	109	10	)	)	PUNCT
ejpam-5595	109	11	ûj	ûj	PROPN
ejpam-5595	109	12	,	,	PUNCT
ejpam-5595	109	13	(	(	PUNCT
ejpam-5595	109	14	6	6	NUM
ejpam-5595	109	15	)	)	PUNCT
ejpam-5595	109	16	ρj	ρj	NOUN
ejpam-5595	109	17	m	m	VERB
ejpam-5595	109	18	[	[	PUNCT
ejpam-5595	109	19	∂ŵj	∂ŵj	PROPN
ejpam-5595	109	20	∂t	∂t	PROPN
ejpam-5595	109	21	+	+	CCONJ
ejpam-5595	109	22	1	1	NUM
ejpam-5595	109	23	m	m	VERB
ejpam-5595	109	24	(	(	PUNCT
ejpam-5595	109	25	δj1ûj	δj1ûj	NOUN
ejpam-5595	109	26	∂w	∂w	PROPN
ejpam-5595	110	1	∂r	∂r	VERB
ejpam-5595	110	2	+	+	CCONJ
ejpam-5595	110	3	δj1w	δj1w	PROPN
ejpam-5595	110	4	∂ŵj	∂ŵj	PROPN
ejpam-5595	110	5	∂z	∂z	PROPN
ejpam-5595	110	6	)	)	PUNCT
ejpam-5595	110	7	]	]	PUNCT
ejpam-5595	111	1	=	=	SYM
ejpam-5595	111	2	−∂p̂j	−∂p̂j	NUM
ejpam-5595	111	3	∂z	∂z	PROPN
ejpam-5595	112	1	−	−	NOUN
ejpam-5595	112	2	ρj	ρj	INTJ
ejpam-5595	112	3	k1	k1	PROPN
ejpam-5595	112	4	(	(	PUNCT
ejpam-5595	112	5	νj	νj	NOUN
ejpam-5595	112	6	−	−	NOUN
ejpam-5595	112	7	ν	ν	NOUN
ejpam-5595	112	8	′j	′j	NOUN
ejpam-5595	112	9	∂	∂	X
ejpam-5595	112	10	∂t	∂t	PROPN
ejpam-5595	112	11	)	)	PUNCT
ejpam-5595	112	12	ŵj	ŵj	NOUN
ejpam-5595	112	13	,	,	PUNCT
ejpam-5595	112	14	(	(	PUNCT
ejpam-5595	112	15	7	7	X
ejpam-5595	112	16	)	)	PUNCT
ejpam-5595	112	17	∂ûj	∂ûj	PROPN
ejpam-5595	113	1	∂r	∂r	PROPN
ejpam-5595	114	1	+	+	CCONJ
ejpam-5595	114	2	ûj	ûj	CCONJ
ejpam-5595	114	3	r	r	NOUN
ejpam-5595	114	4	+	+	NUM
ejpam-5595	114	5	∂ŵj	∂ŵj	PROPN
ejpam-5595	114	6	∂z	∂z	PROPN
ejpam-5595	114	7	=	=	SYM
ejpam-5595	114	8	0	0	PROPN
ejpam-5595	114	9	,	,	PUNCT
ejpam-5595	114	10	(	(	PUNCT
ejpam-5595	114	11	8)	8)	NUM
ejpam-5595	114	12	∇	∇	X
ejpam-5595	114	13	·	·	PUNCT
ejpam-5595	114	14	(	(	PUNCT
ejpam-5595	114	15	ϵj	ϵj	INTJ
ejpam-5595	114	16	êj	êj	NOUN
ejpam-5595	114	17	)	)	PUNCT
ejpam-5595	114	18	=	=	SYM
ejpam-5595	115	1	0	0	NUM
ejpam-5595	115	2	,	,	PUNCT
ejpam-5595	115	3	∇×	∇×	NOUN
ejpam-5595	115	4	êj	êj	NUM
ejpam-5595	115	5	=	=	SYM
ejpam-5595	115	6	0	0	PROPN
ejpam-5595	115	7	and	and	CCONJ
ejpam-5595	115	8	êj=	êj=	PROPN
ejpam-5595	115	9	−	−	PROPN
ejpam-5595	115	10	∇φ̂j	∇φ̂j	NOUN
ejpam-5595	115	11	,	,	PUNCT
ejpam-5595	115	12	(	(	PUNCT
ejpam-5595	115	13	j	j	NOUN
ejpam-5595	115	14	=	=	SYM
ejpam-5595	115	15	1	1	NUM
ejpam-5595	115	16	,	,	PUNCT
ejpam-5595	115	17	2	2	NUM
ejpam-5595	115	18	)	)	PUNCT
ejpam-5595	115	19	.	.	PUNCT
ejpam-5595	116	1	(	(	PUNCT
ejpam-5595	116	2	9	9	X
ejpam-5595	116	3	)	)	PUNCT
ejpam-5595	116	4	where	where	SCONJ
ejpam-5595	116	5	δj1	δj1	PROPN
ejpam-5595	116	6	indicates	indicate	VERB
ejpam-5595	116	7	kronecker	kronecker	NOUN
ejpam-5595	116	8	delta	delta	NOUN
ejpam-5595	116	9	,	,	PUNCT
ejpam-5595	116	10	for	for	ADP
ejpam-5595	116	11	the	the	DET
ejpam-5595	116	12	viscoelastic	viscoelastic	ADJ
ejpam-5595	116	13	fluid	fluid	NOUN
ejpam-5595	116	14	surrounding	surround	VERB
ejpam-5595	116	15	the	the	DET
ejpam-5595	116	16	viscoelastic	viscoelastic	ADJ
ejpam-5595	116	17	jet	jet	NOUN
ejpam-5595	116	18	,	,	PUNCT
ejpam-5595	116	19	δj1	δj1	NOUN
ejpam-5595	116	20	=	=	SYM
ejpam-5595	116	21	δ21	δ21	NOUN
ejpam-5595	116	22	=	=	SYM
ejpam-5595	116	23	0	0	NUM
ejpam-5595	116	24	.	.	PUNCT
ejpam-5595	117	1	all	all	DET
ejpam-5595	117	2	quantities	quantity	NOUN
ejpam-5595	117	3	are	be	AUX
ejpam-5595	117	4	made	make	VERB
ejpam-5595	117	5	dimensionless	dimensionless	NOUN
ejpam-5595	117	6	by	by	ADP
ejpam-5595	117	7	using	use	VERB
ejpam-5595	117	8	jet	jet	NOUN
ejpam-5595	117	9	radius	radius	NOUN
ejpam-5595	117	10	a	a	PRON
ejpam-5595	117	11	and	and	CCONJ
ejpam-5595	117	12	average	average	ADJ
ejpam-5595	117	13	m.	m.	NOUN
ejpam-5595	117	14	f.	f.	PROPN
ejpam-5595	117	15	el	el	PROPN
ejpam-5595	117	16	-	-	PUNCT
ejpam-5595	117	17	sayed	sayed	PROPN
ejpam-5595	117	18	,	,	PUNCT
ejpam-5595	117	19	d.	d.	PROPN
ejpam-5595	117	20	m.	m.	PROPN
ejpam-5595	117	21	mostafa	mostafa	PROPN
ejpam-5595	117	22	,	,	PUNCT
ejpam-5595	117	23	a.	a.	PROPN
ejpam-5595	117	24	m.	m.	PROPN
ejpam-5595	117	25	f.	f.	PROPN
ejpam-5595	117	26	alrashdi	alrashdi	PROPN
ejpam-5595	117	27	/	/	SYM
ejpam-5595	117	28	eur	eur	PROPN
ejpam-5595	117	29	.	.	PUNCT
ejpam-5595	118	1	j.	j.	PROPN
ejpam-5595	118	2	pure	pure	PROPN
ejpam-5595	118	3	appl	appl	PROPN
ejpam-5595	118	4	.	.	PROPN
ejpam-5595	118	5	math	math	PROPN
ejpam-5595	118	6	,	,	PUNCT
ejpam-5595	118	7	18	18	NUM
ejpam-5595	118	8	(	(	PUNCT
ejpam-5595	118	9	1	1	NUM
ejpam-5595	118	10	)	)	PUNCT
ejpam-5595	118	11	(	(	PUNCT
ejpam-5595	118	12	2025	2025	NUM
ejpam-5595	118	13	)	)	PUNCT
ejpam-5595	118	14	,	,	PUNCT
ejpam-5595	118	15	5595	5595	NUM
ejpam-5595	118	16	6	6	NUM
ejpam-5595	118	17	of	of	ADP
ejpam-5595	118	18	20	20	NUM
ejpam-5595	118	19	velocity	velocity	NOUN
ejpam-5595	118	20	wav	wav	NOUN
ejpam-5595	118	21	as	as	SCONJ
ejpam-5595	118	22	follows	follow	VERB
ejpam-5595	118	23	:	:	PUNCT
ejpam-5595	118	24	∗	∗	NOUN
ejpam-5595	118	25	k	k	PROPN
ejpam-5595	119	1	=	=	PUNCT
ejpam-5595	119	2	ka	ka	PROPN
ejpam-5595	119	3	,	,	PUNCT
ejpam-5595	119	4	(	(	PUNCT
ejpam-5595	119	5	∗	∗	NOUN
ejpam-5595	119	6	r	r	NOUN
ejpam-5595	119	7	,	,	PUNCT
ejpam-5595	119	8	∗	∗	NOUN
ejpam-5595	119	9	z	z	NOUN
ejpam-5595	119	10	)	)	PUNCT
ejpam-5595	119	11	=	=	SYM
ejpam-5595	119	12	1	1	NUM
ejpam-5595	119	13	a	a	DET
ejpam-5595	119	14	(	(	PUNCT
ejpam-5595	119	15	r	r	NOUN
ejpam-5595	119	16	,	,	PUNCT
ejpam-5595	119	17	z	z	NOUN
ejpam-5595	119	18	)	)	PUNCT
ejpam-5595	119	19	,	,	PUNCT
ejpam-5595	119	20	(	(	PUNCT
ejpam-5595	119	21	∗	∗	X
ejpam-5595	119	22	u	u	NOUN
ejpam-5595	119	23	,	,	PUNCT
ejpam-5595	119	24	∗	∗	PROPN
ejpam-5595	119	25	v	v	NOUN
ejpam-5595	119	26	,	,	PUNCT
ejpam-5595	119	27	∗	∗	PROPN
ejpam-5595	119	28	w	w	NOUN
ejpam-5595	119	29	)	)	PUNCT
ejpam-5595	119	30	=	=	SYM
ejpam-5595	119	31	1	1	NUM
ejpam-5595	119	32	wav	wav	PROPN
ejpam-5595	119	33	(	(	PUNCT
ejpam-5595	119	34	û	û	PROPN
ejpam-5595	119	35	,	,	PUNCT
ejpam-5595	119	36	v̂	v̂	NOUN
ejpam-5595	119	37	,	,	PUNCT
ejpam-5595	119	38	ŵ	ŵ	PROPN
ejpam-5595	119	39	)	)	PUNCT
ejpam-5595	119	40	,	,	PUNCT
ejpam-5595	119	41	∗	∗	NOUN
ejpam-5595	119	42	e	e	NOUN
ejpam-5595	120	1	=	=	PUNCT
ejpam-5595	120	2	ê√	ê√	ADJ
ejpam-5595	120	3	ρ1w	ρ1w	NUM
ejpam-5595	120	4	2	2	NUM
ejpam-5595	120	5	av	av	PROPN
ejpam-5595	120	6	,	,	PUNCT
ejpam-5595	120	7	∗	∗	PROPN
ejpam-5595	120	8	φ	φ	PROPN
ejpam-5595	120	9	=	=	PUNCT
ejpam-5595	120	10	φ̂	φ̂	AUX
ejpam-5595	120	11	a	a	DET
ejpam-5595	120	12	√	√	NUM
ejpam-5595	120	13	ρ1w	ρ1w	NUM
ejpam-5595	120	14	2	2	NUM
ejpam-5595	120	15	av	av	PROPN
ejpam-5595	120	16	,	,	PUNCT
ejpam-5595	120	17	∗	∗	NOUN
ejpam-5595	120	18	ψ	ψ	NOUN
ejpam-5595	120	19	=	=	X
ejpam-5595	120	20	ψ̂	ψ̂	ADJ
ejpam-5595	120	21	a2wav	a2wav	ADV
ejpam-5595	120	22	,	,	PUNCT
ejpam-5595	120	23	we	we	PRON
ejpam-5595	120	24	=	=	SYM
ejpam-5595	120	25	ρ1aw	ρ1aw	PUNCT
ejpam-5595	120	26	2	2	NUM
ejpam-5595	120	27	av	av	PROPN
ejpam-5595	120	28	σ	σ	NOUN
ejpam-5595	120	29	,	,	PUNCT
ejpam-5595	120	30	∗	∗	NOUN
ejpam-5595	120	31	k1	k1	NOUN
ejpam-5595	120	32	=	=	SYM
ejpam-5595	120	33	k1	k1	PROPN
ejpam-5595	120	34	a2	a2	PROPN
ejpam-5595	120	35	,	,	PUNCT
ejpam-5595	120	36	∗	∗	NOUN
ejpam-5595	120	37	ρ	ρ	NOUN
ejpam-5595	120	38	=	=	SYM
ejpam-5595	120	39	ρ2	ρ2	NOUN
ejpam-5595	120	40	ρ1	ρ1	NOUN
ejpam-5595	120	41	,	,	PUNCT
ejpam-5595	120	42	∗	∗	NOUN
ejpam-5595	120	43	p	p	NOUN
ejpam-5595	120	44	=	=	NOUN
ejpam-5595	120	45	p̂	p̂	X
ejpam-5595	120	46	ρ1w	ρ1w	NUM
ejpam-5595	120	47	2	2	NUM
ejpam-5595	120	48	av	av	PROPN
ejpam-5595	120	49	,	,	PUNCT
ejpam-5595	120	50	∗	∗	NOUN
ejpam-5595	120	51	t	t	NOUN
ejpam-5595	120	52	=	=	SYM
ejpam-5595	120	53	t	t	PROPN
ejpam-5595	120	54	wav	wav	PROPN
ejpam-5595	120	55	a	a	PRON
ejpam-5595	120	56	,	,	PUNCT
ejpam-5595	120	57	∗	∗	PROPN
ejpam-5595	120	58	ω	ω	NOUN
ejpam-5595	120	59	=	=	PRON
ejpam-5595	120	60	ωa	ωa	PROPN
ejpam-5595	120	61	wav	wav	PROPN
ejpam-5595	120	62	and	and	CCONJ
ejpam-5595	120	63	λj	λj	PROPN
ejpam-5595	120	64	=	=	PROPN
ejpam-5595	120	65	ν′j	ν′j	PROPN
ejpam-5595	120	66	a2	a2	PROPN
ejpam-5595	120	67	.	.	PUNCT
ejpam-5595	121	1	to	to	PART
ejpam-5595	121	2	facilitate	facilitate	VERB
ejpam-5595	121	3	our	our	PRON
ejpam-5595	121	4	analysis	analysis	NOUN
ejpam-5595	121	5	,	,	PUNCT
ejpam-5595	121	6	the	the	DET
ejpam-5595	121	7	asterisks	asterisk	NOUN
ejpam-5595	121	8	for	for	ADP
ejpam-5595	121	9	dimensionless	dimensionless	NOUN
ejpam-5595	121	10	quantities	quantity	NOUN
ejpam-5595	121	11	are	be	AUX
ejpam-5595	121	12	omitted	omit	VERB
ejpam-5595	121	13	.	.	PUNCT
ejpam-5595	122	1	hence	hence	ADV
ejpam-5595	122	2	,	,	PUNCT
ejpam-5595	122	3	eqs	eqs	PROPN
ejpam-5595	122	4	.	.	PUNCT
ejpam-5595	122	5	(	(	PUNCT
ejpam-5595	122	6	6)–(9	6)–(9	NOUN
ejpam-5595	122	7	)	)	PUNCT
ejpam-5595	122	8	can	can	AUX
ejpam-5595	122	9	be	be	AUX
ejpam-5595	122	10	written	write	VERB
ejpam-5595	122	11	as	as	SCONJ
ejpam-5595	122	12	follows	follow	VERB
ejpam-5595	122	13	in	in	ADP
ejpam-5595	122	14	non	non	ADJ
ejpam-5595	122	15	-	-	ADJ
ejpam-5595	122	16	dimensional	dimensional	ADJ
ejpam-5595	122	17	forms	form	NOUN
ejpam-5595	122	18	:	:	PUNCT
ejpam-5595	122	19	1	1	NUM
ejpam-5595	122	20	m2	m2	PROPN
ejpam-5595	122	21	[	[	PUNCT
ejpam-5595	122	22	m	m	PROPN
ejpam-5595	122	23	∂uj	∂uj	PROPN
ejpam-5595	122	24	∂t	∂t	PROPN
ejpam-5595	122	25	+	+	CCONJ
ejpam-5595	122	26	δj1w	δj1w	PROPN
ejpam-5595	122	27	∂uj	∂uj	NOUN
ejpam-5595	122	28	∂z	∂z	PROPN
ejpam-5595	122	29	]	]	PUNCT
ejpam-5595	123	1	=	=	PUNCT
ejpam-5595	123	2	−ρ1	−ρ1	NOUN
ejpam-5595	123	3	ρj	ρj	CCONJ
ejpam-5595	123	4	∂pj	∂pj	NOUN
ejpam-5595	123	5	∂r	∂r	NUM
ejpam-5595	123	6	−	−	NUM
ejpam-5595	123	7	1	1	NUM
ejpam-5595	123	8	k1	k1	NOUN
ejpam-5595	123	9	(	(	PUNCT
ejpam-5595	123	10	νj	νj	NOUN
ejpam-5595	123	11	−	−	PROPN
ejpam-5595	123	12	λj	λj	SYM
ejpam-5595	123	13	∂	∂	PROPN
ejpam-5595	123	14	∂t	∂t	PROPN
ejpam-5595	123	15	)	)	PUNCT
ejpam-5595	123	16	uj	uj	PROPN
ejpam-5595	123	17	,	,	PUNCT
ejpam-5595	123	18	(	(	PUNCT
ejpam-5595	123	19	10	10	NUM
ejpam-5595	123	20	)	)	PUNCT
ejpam-5595	123	21	1	1	NUM
ejpam-5595	123	22	m2	m2	PROPN
ejpam-5595	123	23	[	[	PUNCT
ejpam-5595	123	24	m	m	X
ejpam-5595	123	25	∂wj	∂wj	PROPN
ejpam-5595	123	26	∂t	∂t	PROPN
ejpam-5595	123	27	+	+	CCONJ
ejpam-5595	123	28	δj1	δj1	PROPN
ejpam-5595	123	29	(	(	PUNCT
ejpam-5595	123	30	uj	uj	NOUN
ejpam-5595	123	31	∂w	∂w	PROPN
ejpam-5595	124	1	∂r	∂r	NUM
ejpam-5595	124	2	+	+	PROPN
ejpam-5595	124	3	w	w	PROPN
ejpam-5595	124	4	∂wj	∂wj	PROPN
ejpam-5595	124	5	∂z	∂z	PROPN
ejpam-5595	124	6	)	)	PUNCT
ejpam-5595	124	7	]	]	PUNCT
ejpam-5595	125	1	=	=	PUNCT
ejpam-5595	125	2	−ρ1	−ρ1	NOUN
ejpam-5595	125	3	ρj	ρj	CCONJ
ejpam-5595	125	4	∂pj	∂pj	PROPN
ejpam-5595	125	5	∂z	∂z	PROPN
ejpam-5595	125	6	−	−	NUM
ejpam-5595	125	7	1	1	NUM
ejpam-5595	125	8	k1	k1	NOUN
ejpam-5595	125	9	(	(	PUNCT
ejpam-5595	125	10	νj	νj	NOUN
ejpam-5595	125	11	−	−	PROPN
ejpam-5595	125	12	λj	λj	SYM
ejpam-5595	125	13	∂	∂	PROPN
ejpam-5595	125	14	∂t	∂t	PROPN
ejpam-5595	125	15	)	)	PUNCT
ejpam-5595	125	16	wj	wj	PROPN
ejpam-5595	125	17	,	,	PUNCT
ejpam-5595	125	18	(	(	PUNCT
ejpam-5595	125	19	11	11	NUM
ejpam-5595	125	20	)	)	PUNCT
ejpam-5595	125	21	∂uj	∂uj	PROPN
ejpam-5595	125	22	∂r	∂r	PROPN
ejpam-5595	126	1	+	+	CCONJ
ejpam-5595	126	2	uj	uj	PROPN
ejpam-5595	126	3	r	r	NOUN
ejpam-5595	126	4	+	+	X
ejpam-5595	126	5	∂wj	∂wj	PROPN
ejpam-5595	126	6	∂z	∂z	PROPN
ejpam-5595	126	7	=	=	SYM
ejpam-5595	126	8	0	0	PROPN
ejpam-5595	126	9	,	,	PUNCT
ejpam-5595	126	10	(	(	PUNCT
ejpam-5595	126	11	12	12	NUM
ejpam-5595	126	12	)	)	PUNCT
ejpam-5595	126	13	∇	∇	X
ejpam-5595	126	14	·	·	PUNCT
ejpam-5595	126	15	(	(	PUNCT
ejpam-5595	126	16	ϵj	ϵj	INTJ
ejpam-5595	126	17	ej	ej	NOUN
ejpam-5595	126	18	)	)	PUNCT
ejpam-5595	126	19	=	=	SYM
ejpam-5595	126	20	0	0	NUM
ejpam-5595	126	21	,	,	PUNCT
ejpam-5595	126	22	(	(	PUNCT
ejpam-5595	126	23	13	13	NUM
ejpam-5595	126	24	)	)	PUNCT
ejpam-5595	126	25	∇×ej	∇×ej	NOUN
ejpam-5595	126	26	=	=	SYM
ejpam-5595	126	27	0	0	NUM
ejpam-5595	126	28	and	and	CCONJ
ejpam-5595	126	29	ej=	ej=	VERB
ejpam-5595	126	30	−	−	PROPN
ejpam-5595	126	31	∇φj	∇φj	NOUN
ejpam-5595	126	32	.	.	PUNCT
ejpam-5595	127	1	(	(	PUNCT
ejpam-5595	127	2	14	14	NUM
ejpam-5595	127	3	)	)	PUNCT
ejpam-5595	127	4	the	the	DET
ejpam-5595	127	5	following	follow	VERB
ejpam-5595	127	6	equation	equation	NOUN
ejpam-5595	127	7	is	be	AUX
ejpam-5595	127	8	obtained	obtain	VERB
ejpam-5595	127	9	by	by	ADP
ejpam-5595	127	10	differentiating	differentiate	VERB
ejpam-5595	127	11	eqs	eqs	PROPN
ejpam-5595	127	12	.	.	PUNCT
ejpam-5595	128	1	(	(	PUNCT
ejpam-5595	128	2	10	10	NUM
ejpam-5595	128	3	)	)	PUNCT
ejpam-5595	128	4	and	and	CCONJ
ejpam-5595	128	5	(	(	PUNCT
ejpam-5595	128	6	11	11	NUM
ejpam-5595	128	7	)	)	PUNCT
ejpam-5595	128	8	with	with	ADP
ejpam-5595	128	9	regard	regard	NOUN
ejpam-5595	128	10	to	to	ADP
ejpam-5595	128	11	z	z	PROPN
ejpam-5595	128	12	and	and	CCONJ
ejpam-5595	128	13	r	r	NOUN
ejpam-5595	128	14	,	,	PUNCT
ejpam-5595	128	15	respectively	respectively	ADV
ejpam-5595	128	16	,	,	PUNCT
ejpam-5595	128	17	and	and	CCONJ
ejpam-5595	128	18	then	then	ADV
ejpam-5595	128	19	subtracting	subtract	VERB
ejpam-5595	128	20	the	the	DET
ejpam-5595	128	21	second	second	ADJ
ejpam-5595	128	22	equation	equation	NOUN
ejpam-5595	128	23	from	from	ADP
ejpam-5595	128	24	the	the	DET
ejpam-5595	128	25	first	first	ADJ
ejpam-5595	128	26	to	to	PART
ejpam-5595	128	27	obtain	obtain	VERB
ejpam-5595	128	28	:	:	PUNCT
ejpam-5595	128	29	[	[	PUNCT
ejpam-5595	128	30	m	m	NOUN
ejpam-5595	128	31	∂	∂	NOUN
ejpam-5595	128	32	∂t	∂t	PROPN
ejpam-5595	128	33	+	+	CCONJ
ejpam-5595	128	34	δj1w	δj1w	PROPN
ejpam-5595	128	35	∂	∂	NOUN
ejpam-5595	128	36	∂z	∂z	PROPN
ejpam-5595	128	37	+	+	CCONJ
ejpam-5595	128	38	m2	m2	PROPN
ejpam-5595	128	39	k1	k1	PROPN
ejpam-5595	128	40	(	(	PUNCT
ejpam-5595	128	41	νj	νj	NOUN
ejpam-5595	128	42	−	−	PROPN
ejpam-5595	129	1	λj	λj	SYM
ejpam-5595	129	2	∂	∂	NOUN
ejpam-5595	129	3	∂t	∂t	PROPN
ejpam-5595	129	4	)	)	PUNCT
ejpam-5595	129	5	]	]	PUNCT
ejpam-5595	129	6	(	(	PUNCT
ejpam-5595	129	7	∂uj	∂uj	PROPN
ejpam-5595	129	8	∂z	∂z	PROPN
ejpam-5595	129	9	−	−	PROPN
ejpam-5595	129	10	∂wj	∂wj	PROPN
ejpam-5595	129	11	∂r	∂r	PROPN
ejpam-5595	129	12	)	)	PUNCT
ejpam-5595	129	13	−δj1	−δj1	PROPN
ejpam-5595	129	14	[	[	PUNCT
ejpam-5595	129	15	uj	uj	PROPN
ejpam-5595	129	16	∂2w	∂2w	VERB
ejpam-5595	129	17	∂r2	∂r2	PROPN
ejpam-5595	129	18	+	+	CCONJ
ejpam-5595	129	19	∂w	∂w	PROPN
ejpam-5595	129	20	∂r	∂r	INTJ
ejpam-5595	129	21	(	(	PUNCT
ejpam-5595	129	22	∂uj	∂uj	PROPN
ejpam-5595	129	23	∂r	∂r	PROPN
ejpam-5595	129	24	+	+	NUM
ejpam-5595	129	25	∂wj	∂wj	PROPN
ejpam-5595	129	26	∂z	∂z	PROPN
ejpam-5595	129	27	)	)	PUNCT
ejpam-5595	129	28	]	]	PUNCT
ejpam-5595	130	1	=	=	PUNCT
ejpam-5595	130	2	0	0	X
ejpam-5595	130	3	.	.	PUNCT
ejpam-5595	130	4	(	(	PUNCT
ejpam-5595	130	5	15	15	NUM
ejpam-5595	130	6	)	)	PUNCT
ejpam-5595	130	7	equations	equation	NOUN
ejpam-5595	130	8	(	(	PUNCT
ejpam-5595	130	9	13	13	NUM
ejpam-5595	130	10	)	)	PUNCT
ejpam-5595	130	11	and	and	CCONJ
ejpam-5595	130	12	(	(	PUNCT
ejpam-5595	130	13	14	14	NUM
ejpam-5595	130	14	)	)	PUNCT
ejpam-5595	130	15	can	can	AUX
ejpam-5595	130	16	be	be	AUX
ejpam-5595	130	17	represented	represent	VERB
ejpam-5595	130	18	in	in	ADP
ejpam-5595	130	19	the	the	DET
ejpam-5595	130	20	form	form	NOUN
ejpam-5595	130	21	∇2φj	∇2φj	PROPN
ejpam-5595	130	22	=	=	SYM
ejpam-5595	130	23	0	0	NUM
ejpam-5595	130	24	,	,	PUNCT
ejpam-5595	130	25	or	or	CCONJ
ejpam-5595	130	26	in	in	ADP
ejpam-5595	130	27	the	the	DET
ejpam-5595	130	28	following	follow	VERB
ejpam-5595	130	29	equivalent	equivalent	ADJ
ejpam-5595	130	30	form	form	NOUN
ejpam-5595	130	31	:	:	PUNCT
ejpam-5595	130	32	r	r	NOUN
ejpam-5595	130	33	∂2φj	∂2φj	ADV
ejpam-5595	130	34	∂r2	∂r2	PROPN
ejpam-5595	130	35	+	+	CCONJ
ejpam-5595	130	36	∂φj	∂φj	PROPN
ejpam-5595	130	37	∂r	∂r	VERB
ejpam-5595	130	38	+	+	NUM
ejpam-5595	130	39	r	r	NOUN
ejpam-5595	130	40	∂2φj	∂2φj	NOUN
ejpam-5595	130	41	∂z2	∂z2	NOUN
ejpam-5595	130	42	=	=	NOUN
ejpam-5595	130	43	0	0	PROPN
ejpam-5595	130	44	.	.	PUNCT
ejpam-5595	131	1	(	(	PUNCT
ejpam-5595	131	2	16	16	NUM
ejpam-5595	131	3	)	)	PUNCT
ejpam-5595	131	4	the	the	DET
ejpam-5595	131	5	non	non	ADJ
ejpam-5595	131	6	-	-	ADJ
ejpam-5595	131	7	dimensional	dimensional	ADJ
ejpam-5595	131	8	disturbance	disturbance	NOUN
ejpam-5595	131	9	stream	stream	NOUN
ejpam-5595	131	10	function	function	NOUN
ejpam-5595	131	11	ψj	ψj	ADV
ejpam-5595	131	12	is	be	AUX
ejpam-5595	131	13	represented	represent	VERB
ejpam-5595	131	14	as	as	ADP
ejpam-5595	131	15	[	[	X
ejpam-5595	131	16	9	9	NUM
ejpam-5595	131	17	]	]	SYM
ejpam-5595	131	18	:	:	PUNCT
ejpam-5595	131	19	uj	uj	X
ejpam-5595	131	20	=	=	SYM
ejpam-5595	131	21	1	1	NUM
ejpam-5595	131	22	r	r	NOUN
ejpam-5595	131	23	∂ψj	∂ψj	PROPN
ejpam-5595	131	24	∂z	∂z	PROPN
ejpam-5595	131	25	,	,	PUNCT
ejpam-5595	131	26	wj	wj	PROPN
ejpam-5595	131	27	=	=	PUNCT
ejpam-5595	131	28	−1	−1	NOUN
ejpam-5595	131	29	r	r	NOUN
ejpam-5595	131	30	∂ψj	∂ψj	PROPN
ejpam-5595	131	31	∂r	∂r	X
ejpam-5595	131	32	.	.	PUNCT
ejpam-5595	132	1	(	(	PUNCT
ejpam-5595	132	2	17	17	NUM
ejpam-5595	132	3	)	)	PUNCT
ejpam-5595	132	4	m.	m.	NOUN
ejpam-5595	132	5	f.	f.	PROPN
ejpam-5595	132	6	el	el	PROPN
ejpam-5595	132	7	-	-	PUNCT
ejpam-5595	132	8	sayed	sayed	PROPN
ejpam-5595	132	9	,	,	PUNCT
ejpam-5595	132	10	d.	d.	PROPN
ejpam-5595	132	11	m.	m.	PROPN
ejpam-5595	132	12	mostafa	mostafa	PROPN
ejpam-5595	132	13	,	,	PUNCT
ejpam-5595	132	14	a.	a.	PROPN
ejpam-5595	132	15	m.	m.	PROPN
ejpam-5595	132	16	f.	f.	PROPN
ejpam-5595	132	17	alrashdi	alrashdi	PROPN
ejpam-5595	132	18	/	/	SYM
ejpam-5595	132	19	eur	eur	PROPN
ejpam-5595	132	20	.	.	PUNCT
ejpam-5595	133	1	j.	j.	PROPN
ejpam-5595	133	2	pure	pure	PROPN
ejpam-5595	133	3	appl	appl	PROPN
ejpam-5595	133	4	.	.	PROPN
ejpam-5595	133	5	math	math	PROPN
ejpam-5595	133	6	,	,	PUNCT
ejpam-5595	133	7	18	18	NUM
ejpam-5595	133	8	(	(	PUNCT
ejpam-5595	133	9	1	1	NUM
ejpam-5595	133	10	)	)	PUNCT
ejpam-5595	133	11	(	(	PUNCT
ejpam-5595	133	12	2025	2025	NUM
ejpam-5595	133	13	)	)	PUNCT
ejpam-5595	133	14	,	,	PUNCT
ejpam-5595	133	15	5595	5595	NUM
ejpam-5595	133	16	7	7	NUM
ejpam-5595	133	17	of	of	ADP
ejpam-5595	133	18	20	20	NUM
ejpam-5595	133	19	which	which	PRON
ejpam-5595	133	20	satisfies	satisfy	VERB
ejpam-5595	133	21	eq	eq	ADP
ejpam-5595	133	22	.	.	PUNCT
ejpam-5595	134	1	(	(	PUNCT
ejpam-5595	134	2	12	12	NUM
ejpam-5595	134	3	)	)	PUNCT
ejpam-5595	134	4	identically	identically	ADV
ejpam-5595	134	5	.	.	PUNCT
ejpam-5595	135	1	we	we	PRON
ejpam-5595	135	2	use	use	VERB
ejpam-5595	135	3	the	the	DET
ejpam-5595	135	4	normal	normal	ADJ
ejpam-5595	135	5	mode	mode	NOUN
ejpam-5595	135	6	method	method	NOUN
ejpam-5595	135	7	by	by	ADP
ejpam-5595	135	8	seeking	seek	VERB
ejpam-5595	135	9	solutions	solution	NOUN
ejpam-5595	135	10	as	as	SCONJ
ejpam-5595	135	11	follows	follow	VERB
ejpam-5595	135	12	[	[	X
ejpam-5595	135	13	7	7	NUM
ejpam-5595	135	14	]	]	PUNCT
ejpam-5595	135	15	:	:	PUNCT
ejpam-5595	136	1	[	[	X
ejpam-5595	136	2	ψj	ψj	ADP
ejpam-5595	136	3	,	,	PUNCT
ejpam-5595	136	4	φj	φj	INTJ
ejpam-5595	136	5	,	,	PUNCT
ejpam-5595	136	6	pj	pj	PROPN
ejpam-5595	136	7	]	]	PUNCT
ejpam-5595	136	8	=	=	PUNCT
ejpam-5595	137	1	[	[	X
ejpam-5595	137	2	ψj(r),φj(r	ψj(r),φj(r	NOUN
ejpam-5595	137	3	)	)	PUNCT
ejpam-5595	137	4	,	,	PUNCT
ejpam-5595	137	5	pj(r	pj(r	NUM
ejpam-5595	137	6	)	)	PUNCT
ejpam-5595	137	7	]	]	PUNCT
ejpam-5595	137	8	exp	exp	X
ejpam-5595	137	9	(	(	PUNCT
ejpam-5595	137	10	ikz	ikz	NOUN
ejpam-5595	137	11	+	+	CCONJ
ejpam-5595	137	12	ωt	ωt	PROPN
ejpam-5595	137	13	)	)	PUNCT
ejpam-5595	137	14	.	.	PUNCT
ejpam-5595	138	1	(	(	PUNCT
ejpam-5595	138	2	18	18	NUM
ejpam-5595	138	3	)	)	PUNCT
ejpam-5595	138	4	by	by	ADP
ejpam-5595	138	5	inserting	insert	VERB
ejpam-5595	138	6	eq	eq	ADP
ejpam-5595	138	7	.	.	PUNCT
ejpam-5595	139	1	(	(	PUNCT
ejpam-5595	139	2	18	18	NUM
ejpam-5595	139	3	)	)	PUNCT
ejpam-5595	139	4	into	into	ADP
ejpam-5595	139	5	eq	eq	NOUN
ejpam-5595	139	6	.	.	PUNCT
ejpam-5595	140	1	(	(	PUNCT
ejpam-5595	140	2	17	17	NUM
ejpam-5595	140	3	)	)	PUNCT
ejpam-5595	140	4	,	,	PUNCT
ejpam-5595	140	5	we	we	PRON
ejpam-5595	140	6	get	get	VERB
ejpam-5595	140	7	:	:	PUNCT
ejpam-5595	140	8	(	(	PUNCT
ejpam-5595	140	9	uj	uj	PROPN
ejpam-5595	140	10	,	,	PUNCT
ejpam-5595	140	11	wj	wj	PROPN
ejpam-5595	140	12	)	)	PUNCT
ejpam-5595	140	13	=	=	SYM
ejpam-5595	140	14	1	1	NUM
ejpam-5595	140	15	r	r	NOUN
ejpam-5595	140	16	(	(	PUNCT
ejpam-5595	140	17	ikψj(r),−	ikψj(r),−	X
ejpam-5595	140	18	dψj(r	dψj(r	PROPN
ejpam-5595	140	19	)	)	PUNCT
ejpam-5595	140	20	dr	dr	PROPN
ejpam-5595	140	21	)	)	PUNCT
ejpam-5595	140	22	exp	exp	NOUN
ejpam-5595	140	23	(	(	PUNCT
ejpam-5595	140	24	ikz	ikz	NOUN
ejpam-5595	140	25	+	+	CCONJ
ejpam-5595	140	26	ωt	ωt	PROPN
ejpam-5595	140	27	)	)	PUNCT
ejpam-5595	140	28	.	.	PUNCT
ejpam-5595	141	1	(	(	PUNCT
ejpam-5595	141	2	19	19	NUM
ejpam-5595	141	3	)	)	PUNCT
ejpam-5595	141	4	now	now	ADV
ejpam-5595	141	5	,	,	PUNCT
ejpam-5595	141	6	substituting	substitute	VERB
ejpam-5595	141	7	eq	eq	ADP
ejpam-5595	141	8	.	.	PUNCT
ejpam-5595	142	1	(	(	PUNCT
ejpam-5595	142	2	19	19	NUM
ejpam-5595	142	3	)	)	PUNCT
ejpam-5595	142	4	into	into	ADP
ejpam-5595	142	5	eq	eq	NOUN
ejpam-5595	142	6	.	.	PUNCT
ejpam-5595	143	1	(	(	PUNCT
ejpam-5595	143	2	15	15	NUM
ejpam-5595	143	3	)	)	PUNCT
ejpam-5595	143	4	,	,	PUNCT
ejpam-5595	143	5	we	we	PRON
ejpam-5595	143	6	get	get	VERB
ejpam-5595	143	7	:	:	PUNCT
ejpam-5595	143	8	[	[	PUNCT
ejpam-5595	143	9	(	(	PUNCT
ejpam-5595	143	10	mω	mω	NOUN
ejpam-5595	143	11	+	+	CCONJ
ejpam-5595	143	12	ikδj1w	ikδj1w	PROPN
ejpam-5595	143	13	)	)	PUNCT
ejpam-5595	144	1	+	+	NUM
ejpam-5595	144	2	m2	m2	PROPN
ejpam-5595	144	3	k1	k1	PROPN
ejpam-5595	144	4	(	(	PUNCT
ejpam-5595	144	5	νj	νj	NOUN
ejpam-5595	144	6	−	−	PROPN
ejpam-5595	144	7	λjω	λjω	ADJ
ejpam-5595	144	8	)	)	PUNCT
ejpam-5595	144	9	]	]	PUNCT
ejpam-5595	144	10	(	(	PUNCT
ejpam-5595	144	11	r	r	X
ejpam-5595	144	12	d2ψj	d2ψj	PUNCT
ejpam-5595	144	13	dr2	dr2	PROPN
ejpam-5595	144	14	−	−	PROPN
ejpam-5595	144	15	dψj	dψj	PROPN
ejpam-5595	144	16	dr	dr	PROPN
ejpam-5595	144	17	−	−	PROPN
ejpam-5595	144	18	rk2ψj	rk2ψj	PROPN
ejpam-5595	144	19	)	)	PUNCT
ejpam-5595	144	20	−ikδj1ψj	−ikδj1ψj	PROPN
ejpam-5595	144	21	(	(	PUNCT
ejpam-5595	144	22	r	r	PROPN
ejpam-5595	144	23	d2w	d2w	PROPN
ejpam-5595	144	24	dr2	dr2	PROPN
ejpam-5595	144	25	−	−	PROPN
ejpam-5595	144	26	dw	dw	PROPN
ejpam-5595	144	27	dr	dr	PROPN
ejpam-5595	144	28	)	)	PUNCT
ejpam-5595	144	29	=	=	PUNCT
ejpam-5595	145	1	0	0	X
ejpam-5595	145	2	.	.	PUNCT
ejpam-5595	146	1	(	(	PUNCT
ejpam-5595	146	2	20	20	NUM
ejpam-5595	146	3	)	)	PUNCT
ejpam-5595	146	4	leib	leib	NOUN
ejpam-5595	146	5	and	and	CCONJ
ejpam-5595	146	6	goldstein	goldstein	PROPN
ejpam-5595	147	1	[	[	X
ejpam-5595	147	2	23	23	NUM
ejpam-5595	147	3	]	]	PUNCT
ejpam-5595	148	1	[	[	X
ejpam-5595	148	2	24	24	NUM
ejpam-5595	148	3	]	]	PUNCT
ejpam-5595	148	4	represented	represent	VERB
ejpam-5595	148	5	the	the	DET
ejpam-5595	148	6	influence	influence	NOUN
ejpam-5595	148	7	of	of	ADP
ejpam-5595	148	8	velocity	velocity	NOUN
ejpam-5595	148	9	profile	profile	NOUN
ejpam-5595	148	10	relaxation	relaxation	NOUN
ejpam-5595	148	11	with	with	ADP
ejpam-5595	148	12	a	a	DET
ejpam-5595	148	13	set	set	NOUN
ejpam-5595	148	14	of	of	ADP
ejpam-5595	148	15	dimensionless	dimensionless	NOUN
ejpam-5595	148	16	parabolic	parabolic	ADJ
ejpam-5595	148	17	velocity	velocity	NOUN
ejpam-5595	148	18	profiles	profile	NOUN
ejpam-5595	148	19	as	as	SCONJ
ejpam-5595	148	20	follows	follow	VERB
ejpam-5595	148	21	[	[	X
ejpam-5595	148	22	12	12	NUM
ejpam-5595	148	23	,	,	PUNCT
ejpam-5595	148	24	18	18	NUM
ejpam-5595	148	25	]	]	PUNCT
ejpam-5595	148	26	:	:	PUNCT
ejpam-5595	148	27	w	w	X
ejpam-5595	148	28	(	(	PUNCT
ejpam-5595	148	29	r	r	NOUN
ejpam-5595	148	30	)	)	PUNCT
ejpam-5595	148	31	=	=	SYM
ejpam-5595	148	32	1−	1−	NUM
ejpam-5595	148	33	br2	br2	NOUN
ejpam-5595	148	34	1−	1−	NUM
ejpam-5595	148	35	b⧸2	b⧸2	PROPN
ejpam-5595	148	36	.	.	PUNCT
ejpam-5595	149	1	(	(	PUNCT
ejpam-5595	149	2	21	21	NUM
ejpam-5595	149	3	)	)	PUNCT
ejpam-5595	149	4	as	as	ADP
ejpam-5595	149	5	the	the	DET
ejpam-5595	149	6	parameter	parameter	NOUN
ejpam-5595	149	7	b	b	PROPN
ejpam-5595	149	8	increases	increase	NOUN
ejpam-5595	149	9	from	from	ADP
ejpam-5595	149	10	one	one	NUM
ejpam-5595	149	11	(	(	PUNCT
ejpam-5595	149	12	hagen	hagen	NOUN
ejpam-5595	149	13	-	-	PUNCT
ejpam-5595	149	14	poiseuille	poiseuille	NOUN
ejpam-5595	149	15	profile	profile	NOUN
ejpam-5595	149	16	)	)	PUNCT
ejpam-5595	149	17	to	to	ADP
ejpam-5595	149	18	zero	zero	NUM
ejpam-5595	149	19	(	(	PUNCT
ejpam-5595	149	20	uniform	uniform	ADJ
ejpam-5595	149	21	profile	profile	NOUN
ejpam-5595	149	22	)	)	PUNCT
ejpam-5595	149	23	,	,	PUNCT
ejpam-5595	149	24	it	it	PRON
ejpam-5595	149	25	is	be	AUX
ejpam-5595	149	26	used	use	VERB
ejpam-5595	149	27	to	to	PART
ejpam-5595	149	28	create	create	VERB
ejpam-5595	149	29	profiles	profile	NOUN
ejpam-5595	149	30	that	that	PRON
ejpam-5595	149	31	get	get	VERB
ejpam-5595	149	32	flatter	flatter	ADJ
ejpam-5595	149	33	over	over	ADP
ejpam-5595	149	34	time	time	NOUN
ejpam-5595	149	35	.	.	PUNCT
ejpam-5595	150	1	substituting	substitute	VERB
ejpam-5595	150	2	(	(	PUNCT
ejpam-5595	150	3	21	21	NUM
ejpam-5595	150	4	)	)	PUNCT
ejpam-5595	150	5	into	into	ADP
ejpam-5595	150	6	(	(	PUNCT
ejpam-5595	150	7	20	20	NUM
ejpam-5595	150	8	)	)	PUNCT
ejpam-5595	150	9	and	and	CCONJ
ejpam-5595	150	10	(	(	PUNCT
ejpam-5595	150	11	18	18	NUM
ejpam-5595	150	12	)	)	PUNCT
ejpam-5595	150	13	into	into	ADP
ejpam-5595	150	14	(	(	PUNCT
ejpam-5595	150	15	16	16	NUM
ejpam-5595	150	16	)	)	PUNCT
ejpam-5595	150	17	,	,	PUNCT
ejpam-5595	150	18	we	we	PRON
ejpam-5595	150	19	have	have	VERB
ejpam-5595	150	20	r	r	NOUN
ejpam-5595	150	21	d2ψj	d2ψj	PUNCT
ejpam-5595	150	22	dr2	dr2	PROPN
ejpam-5595	150	23	−	−	PROPN
ejpam-5595	150	24	dψj	dψj	PROPN
ejpam-5595	150	25	dr	dr	PROPN
ejpam-5595	150	26	−	−	PROPN
ejpam-5595	150	27	rk2ψj	rk2ψj	PROPN
ejpam-5595	150	28	=	=	SYM
ejpam-5595	150	29	0	0	NUM
ejpam-5595	150	30	,	,	PUNCT
ejpam-5595	150	31	(	(	PUNCT
ejpam-5595	150	32	22	22	NUM
ejpam-5595	150	33	)	)	PUNCT
ejpam-5595	150	34	r	r	NOUN
ejpam-5595	150	35	d2φj	d2φj	PUNCT
ejpam-5595	150	36	dr2	dr2	PROPN
ejpam-5595	150	37	+	+	CCONJ
ejpam-5595	150	38	dφj	dφj	PROPN
ejpam-5595	150	39	dr	dr	NOUN
ejpam-5595	150	40	−	−	PROPN
ejpam-5595	150	41	rk2φj	rk2φj	PROPN
ejpam-5595	150	42	=	=	SYM
ejpam-5595	150	43	0	0	NUM
ejpam-5595	150	44	.	.	PUNCT
ejpam-5595	151	1	(	(	PUNCT
ejpam-5595	151	2	23	23	NUM
ejpam-5595	151	3	)	)	PUNCT
ejpam-5595	151	4	according	accord	VERB
ejpam-5595	151	5	to	to	ADP
ejpam-5595	151	6	eq	eq	PROPN
ejpam-5595	151	7	.	.	PUNCT
ejpam-5595	152	1	(	(	PUNCT
ejpam-5595	152	2	18	18	NUM
ejpam-5595	152	3	)	)	PUNCT
ejpam-5595	152	4	,	,	PUNCT
ejpam-5595	152	5	the	the	DET
ejpam-5595	152	6	interface	interface	NOUN
ejpam-5595	152	7	displacement	displacement	NOUN
ejpam-5595	152	8	η	η	PROPN
ejpam-5595	152	9	can	can	AUX
ejpam-5595	152	10	be	be	AUX
ejpam-5595	152	11	represented	represent	VERB
ejpam-5595	152	12	as	as	SCONJ
ejpam-5595	152	13	follows	follow	VERB
ejpam-5595	152	14	[	[	X
ejpam-5595	152	15	7	7	NUM
ejpam-5595	152	16	]	]	SYM
ejpam-5595	152	17	:	:	PUNCT
ejpam-5595	152	18	η	η	X
ejpam-5595	152	19	=	=	PROPN
ejpam-5595	152	20	η0	η0	NOUN
ejpam-5595	152	21	exp	exp	NOUN
ejpam-5595	152	22	(	(	PUNCT
ejpam-5595	152	23	ikz	ikz	NOUN
ejpam-5595	152	24	+	+	CCONJ
ejpam-5595	152	25	ωt	ωt	PROPN
ejpam-5595	152	26	)	)	PUNCT
ejpam-5595	152	27	.	.	PUNCT
ejpam-5595	153	1	(	(	PUNCT
ejpam-5595	153	2	24	24	NUM
ejpam-5595	153	3	)	)	PUNCT
ejpam-5595	153	4	where	where	SCONJ
ejpam-5595	153	5	η0	η0	NOUN
ejpam-5595	153	6	denotes	denote	VERB
ejpam-5595	153	7	the	the	DET
ejpam-5595	153	8	initial	initial	ADJ
ejpam-5595	153	9	interface	interface	NOUN
ejpam-5595	153	10	displacement	displacement	NOUN
ejpam-5595	153	11	.	.	PUNCT
ejpam-5595	154	1	m.	m.	PROPN
ejpam-5595	154	2	f.	f.	PROPN
ejpam-5595	154	3	el	el	PROPN
ejpam-5595	154	4	-	-	PUNCT
ejpam-5595	154	5	sayed	sayed	PROPN
ejpam-5595	154	6	,	,	PUNCT
ejpam-5595	154	7	d.	d.	PROPN
ejpam-5595	154	8	m.	m.	PROPN
ejpam-5595	154	9	mostafa	mostafa	PROPN
ejpam-5595	154	10	,	,	PUNCT
ejpam-5595	154	11	a.	a.	PROPN
ejpam-5595	154	12	m.	m.	PROPN
ejpam-5595	154	13	f.	f.	PROPN
ejpam-5595	154	14	alrashdi	alrashdi	PROPN
ejpam-5595	154	15	/	/	SYM
ejpam-5595	154	16	eur	eur	PROPN
ejpam-5595	154	17	.	.	PUNCT
ejpam-5595	155	1	j.	j.	PROPN
ejpam-5595	155	2	pure	pure	PROPN
ejpam-5595	155	3	appl	appl	PROPN
ejpam-5595	155	4	.	.	PROPN
ejpam-5595	155	5	math	math	PROPN
ejpam-5595	155	6	,	,	PUNCT
ejpam-5595	155	7	18	18	NUM
ejpam-5595	155	8	(	(	PUNCT
ejpam-5595	155	9	1	1	NUM
ejpam-5595	155	10	)	)	PUNCT
ejpam-5595	155	11	(	(	PUNCT
ejpam-5595	155	12	2025	2025	NUM
ejpam-5595	155	13	)	)	PUNCT
ejpam-5595	155	14	,	,	PUNCT
ejpam-5595	155	15	5595	5595	NUM
ejpam-5595	155	16	8	8	NUM
ejpam-5595	155	17	of	of	ADP
ejpam-5595	155	18	20	20	NUM
ejpam-5595	155	19	4	4	NUM
ejpam-5595	155	20	.	.	PUNCT
ejpam-5595	156	1	solutions	solution	NOUN
ejpam-5595	156	2	and	and	CCONJ
ejpam-5595	156	3	boundary	boundary	ADJ
ejpam-5595	156	4	conditions	condition	NOUN
ejpam-5595	156	5	the	the	DET
ejpam-5595	156	6	velocity	velocity	NOUN
ejpam-5595	156	7	along	along	ADP
ejpam-5595	156	8	the	the	DET
ejpam-5595	156	9	axis	axis	NOUN
ejpam-5595	156	10	of	of	ADP
ejpam-5595	156	11	the	the	DET
ejpam-5595	156	12	viscoelastic	viscoelastic	ADJ
ejpam-5595	156	13	liquid	liquid	ADJ
ejpam-5595	156	14	jet	jet	NOUN
ejpam-5595	156	15	must	must	AUX
ejpam-5595	156	16	be	be	AUX
ejpam-5595	156	17	finite	finite	ADJ
ejpam-5595	156	18	,	,	PUNCT
ejpam-5595	156	19	and	and	CCONJ
ejpam-5595	156	20	disturbances	disturbance	NOUN
ejpam-5595	156	21	vanish	vanish	VERB
ejpam-5595	156	22	in	in	ADP
ejpam-5595	156	23	the	the	DET
ejpam-5595	156	24	surrounding	surround	VERB
ejpam-5595	156	25	viscoelastic	viscoelastic	ADJ
ejpam-5595	156	26	fluid	fluid	NOUN
ejpam-5595	156	27	far	far	ADV
ejpam-5595	156	28	away	away	ADV
ejpam-5595	156	29	from	from	ADP
ejpam-5595	156	30	the	the	DET
ejpam-5595	156	31	interface	interface	NOUN
ejpam-5595	156	32	.	.	PUNCT
ejpam-5595	157	1	therefore	therefore	ADV
ejpam-5595	157	2	,	,	PUNCT
ejpam-5595	157	3	the	the	DET
ejpam-5595	157	4	general	general	ADJ
ejpam-5595	157	5	solutions	solution	NOUN
ejpam-5595	157	6	of	of	ADP
ejpam-5595	157	7	eq	eq	PROPN
ejpam-5595	157	8	.	.	PUNCT
ejpam-5595	158	1	(	(	PUNCT
ejpam-5595	158	2	22	22	NUM
ejpam-5595	158	3	)	)	PUNCT
ejpam-5595	158	4	and	and	CCONJ
ejpam-5595	158	5	eq	eq	NOUN
ejpam-5595	158	6	.	.	PUNCT
ejpam-5595	159	1	(	(	PUNCT
ejpam-5595	159	2	23	23	NUM
ejpam-5595	159	3	)	)	PUNCT
ejpam-5595	159	4	can	can	AUX
ejpam-5595	159	5	be	be	AUX
ejpam-5595	159	6	represented	represent	VERB
ejpam-5595	159	7	as	as	SCONJ
ejpam-5595	159	8	follows	follow	VERB
ejpam-5595	159	9	[	[	X
ejpam-5595	159	10	7	7	NUM
ejpam-5595	159	11	]	]	NOUN
ejpam-5595	159	12	:	:	PUNCT
ejpam-5595	159	13	ψ1	ψ1	NOUN
ejpam-5595	159	14	=	=	SYM
ejpam-5595	159	15	α1ri1(kr	α1ri1(kr	PROPN
ejpam-5595	159	16	)	)	PUNCT
ejpam-5595	159	17	,	,	PUNCT
ejpam-5595	159	18	ψ2	ψ2	NOUN
ejpam-5595	159	19	=	=	SYM
ejpam-5595	159	20	α2rk1(kr	α2rk1(kr	NOUN
ejpam-5595	159	21	)	)	PUNCT
ejpam-5595	159	22	,	,	PUNCT
ejpam-5595	159	23	(	(	PUNCT
ejpam-5595	159	24	25	25	NUM
ejpam-5595	159	25	)	)	PUNCT
ejpam-5595	159	26	φ1	φ1	NOUN
ejpam-5595	159	27	=	=	SYM
ejpam-5595	159	28	α3i0(kr	α3i0(kr	PROPN
ejpam-5595	159	29	)	)	PUNCT
ejpam-5595	159	30	,	,	PUNCT
ejpam-5595	159	31	φ2	φ2	PROPN
ejpam-5595	159	32	=	=	PUNCT
ejpam-5595	159	33	α4k0(kr	α4k0(kr	PROPN
ejpam-5595	159	34	)	)	PUNCT
ejpam-5595	159	35	.	.	PUNCT
ejpam-5595	160	1	(	(	PUNCT
ejpam-5595	160	2	26	26	NUM
ejpam-5595	160	3	)	)	PUNCT
ejpam-5595	160	4	where	where	SCONJ
ejpam-5595	160	5	α1−	α1−	NUM
ejpam-5595	160	6	α4	α4	NOUN
ejpam-5595	160	7	are	be	AUX
ejpam-5595	160	8	arbitrary	arbitrary	ADJ
ejpam-5595	160	9	constant	constant	ADJ
ejpam-5595	160	10	.	.	PUNCT
ejpam-5595	161	1	the	the	DET
ejpam-5595	161	2	following	follow	VERB
ejpam-5595	161	3	linearized	linearize	VERB
ejpam-5595	161	4	boundary	boundary	ADJ
ejpam-5595	161	5	conditions	condition	NOUN
ejpam-5595	161	6	should	should	AUX
ejpam-5595	161	7	be	be	AUX
ejpam-5595	161	8	satisfied	satisfied	ADJ
ejpam-5595	161	9	by	by	ADP
ejpam-5595	161	10	the	the	DET
ejpam-5595	161	11	solution	solution	NOUN
ejpam-5595	161	12	for	for	ADP
ejpam-5595	161	13	φj	φj	NOUN
ejpam-5595	161	14	and	and	CCONJ
ejpam-5595	161	15	ψj	ψj	ADV
ejpam-5595	161	16	,	,	PUNCT
ejpam-5595	161	17	(	(	PUNCT
ejpam-5595	161	18	j	j	NOUN
ejpam-5595	161	19	=	=	SYM
ejpam-5595	161	20	1	1	NUM
ejpam-5595	161	21	,	,	PUNCT
ejpam-5595	161	22	2	2	NUM
ejpam-5595	161	23	)	)	PUNCT
ejpam-5595	161	24	:	:	PUNCT
ejpam-5595	162	1	1	1	X
ejpam-5595	162	2	.	.	X
ejpam-5595	162	3	the	the	DET
ejpam-5595	162	4	kinematic	kinematic	ADJ
ejpam-5595	162	5	condition	condition	NOUN
ejpam-5595	162	6	that	that	SCONJ
ejpam-5595	162	7	each	each	DET
ejpam-5595	162	8	fluid	fluid	ADJ
ejpam-5595	162	9	particle	particle	NOUN
ejpam-5595	162	10	on	on	ADP
ejpam-5595	162	11	the	the	DET
ejpam-5595	162	12	interface	interface	NOUN
ejpam-5595	162	13	remains	remain	VERB
ejpam-5595	162	14	on	on	ADP
ejpam-5595	162	15	it	it	PRON
ejpam-5595	162	16	,	,	PUNCT
ejpam-5595	162	17	leads	lead	VERB
ejpam-5595	162	18	to	to	ADP
ejpam-5595	162	19	[	[	X
ejpam-5595	162	20	18	18	NUM
ejpam-5595	162	21	]	]	SYM
ejpam-5595	162	22	:	:	PUNCT
ejpam-5595	162	23	uj	uj	PROPN
ejpam-5595	162	24	=	=	NOUN
ejpam-5595	163	1	m	m	PROPN
ejpam-5595	163	2	∂η	∂η	PROPN
ejpam-5595	163	3	∂t	∂t	PROPN
ejpam-5595	163	4	+	+	CCONJ
ejpam-5595	163	5	δj1w	δj1w	PROPN
ejpam-5595	163	6	∂η	∂η	PROPN
ejpam-5595	163	7	∂z	∂z	PROPN
ejpam-5595	163	8	at	at	ADP
ejpam-5595	163	9	r	r	PROPN
ejpam-5595	163	10	≈	≈	PROPN
ejpam-5595	163	11	1	1	NUM
ejpam-5595	163	12	,	,	PUNCT
ejpam-5595	163	13	j	j	PROPN
ejpam-5595	163	14	=	=	SYM
ejpam-5595	163	15	1	1	NUM
ejpam-5595	163	16	,	,	PUNCT
ejpam-5595	163	17	2	2	NUM
ejpam-5595	163	18	.	.	PUNCT
ejpam-5595	163	19	(	(	PUNCT
ejpam-5595	163	20	27	27	NUM
ejpam-5595	163	21	)	)	PUNCT
ejpam-5595	163	22	2	2	NUM
ejpam-5595	163	23	.	.	PUNCT
ejpam-5595	164	1	the	the	DET
ejpam-5595	164	2	electric	electric	ADJ
ejpam-5595	164	3	field	field	NOUN
ejpam-5595	164	4	tangential	tangential	ADJ
ejpam-5595	164	5	component	component	NOUN
ejpam-5595	164	6	must	must	AUX
ejpam-5595	164	7	be	be	AUX
ejpam-5595	164	8	continuous	continuous	ADJ
ejpam-5595	164	9	at	at	ADP
ejpam-5595	164	10	the	the	DET
ejpam-5595	164	11	interface	interface	NOUN
ejpam-5595	164	12	,	,	PUNCT
ejpam-5595	164	13	which	which	PRON
ejpam-5595	164	14	results	result	VERB
ejpam-5595	164	15	in	in	ADP
ejpam-5595	164	16	:	:	PUNCT
ejpam-5595	164	17	∥∥∥∥∂φ∂z	∥∥∥∥∂φ∂z	X
ejpam-5595	164	18	∥∥∥∥	∥∥∥∥	NUM
ejpam-5595	165	1	=	=	SYM
ejpam-5595	165	2	0	0	NUM
ejpam-5595	165	3	,	,	PUNCT
ejpam-5595	165	4	at	at	ADP
ejpam-5595	165	5	r	r	PROPN
ejpam-5595	165	6	≈	≈	PROPN
ejpam-5595	165	7	1	1	NUM
ejpam-5595	165	8	.	.	PUNCT
ejpam-5595	166	1	(	(	PUNCT
ejpam-5595	166	2	28	28	NUM
ejpam-5595	166	3	)	)	PUNCT
ejpam-5595	166	4	where	where	SCONJ
ejpam-5595	166	5	∥⋆∥	∥⋆∥	PROPN
ejpam-5595	166	6	denotes	denote	VERB
ejpam-5595	166	7	the	the	DET
ejpam-5595	166	8	jump	jump	NOUN
ejpam-5595	166	9	across	across	ADP
ejpam-5595	166	10	the	the	DET
ejpam-5595	166	11	interface	interface	NOUN
ejpam-5595	166	12	.	.	PUNCT
ejpam-5595	167	1	3	3	X
ejpam-5595	167	2	.	.	X
ejpam-5595	167	3	since	since	SCONJ
ejpam-5595	167	4	the	the	DET
ejpam-5595	167	5	normal	normal	ADJ
ejpam-5595	167	6	component	component	NOUN
ejpam-5595	167	7	of	of	ADP
ejpam-5595	167	8	the	the	DET
ejpam-5595	167	9	electric	electric	ADJ
ejpam-5595	167	10	displacement	displacement	NOUN
ejpam-5595	167	11	at	at	ADP
ejpam-5595	167	12	the	the	DET
ejpam-5595	167	13	interface	interface	NOUN
ejpam-5595	167	14	must	must	AUX
ejpam-5595	167	15	be	be	AUX
ejpam-5595	167	16	continuous	continuous	ADJ
ejpam-5595	167	17	,	,	PUNCT
ejpam-5595	167	18	this	this	PRON
ejpam-5595	167	19	results	result	VERB
ejpam-5595	167	20	in	in	ADP
ejpam-5595	167	21	:	:	PUNCT
ejpam-5595	167	22	∥∥∥∥ϵ∂φ∂r	∥∥∥∥ϵ∂φ∂r	NOUN
ejpam-5595	167	23	∥∥∥∥	∥∥∥∥	NUM
ejpam-5595	167	24	=	=	SYM
ejpam-5595	167	25	−ikηe0	−ikηe0	NOUN
ejpam-5595	167	26	∥ϵ∥	∥ϵ∥	NOUN
ejpam-5595	167	27	,	,	PUNCT
ejpam-5595	167	28	at	at	ADP
ejpam-5595	167	29	r	r	PROPN
ejpam-5595	167	30	≈	≈	PROPN
ejpam-5595	167	31	1	1	NUM
ejpam-5595	167	32	.	.	PUNCT
ejpam-5595	168	1	(	(	PUNCT
ejpam-5595	168	2	29	29	NUM
ejpam-5595	168	3	)	)	SYM
ejpam-5595	168	4	4	4	NUM
ejpam-5595	168	5	.	.	PUNCT
ejpam-5595	169	1	the	the	DET
ejpam-5595	169	2	interfacial	interfacial	ADJ
ejpam-5595	169	3	condition	condition	NOUN
ejpam-5595	169	4	for	for	ADP
ejpam-5595	169	5	momentum	momentum	NOUN
ejpam-5595	169	6	conservation	conservation	NOUN
ejpam-5595	169	7	can	can	AUX
ejpam-5595	169	8	be	be	AUX
ejpam-5595	169	9	expressed	express	VERB
ejpam-5595	169	10	as	as	ADP
ejpam-5595	169	11	[	[	X
ejpam-5595	169	12	23	23	NUM
ejpam-5595	169	13	,	,	PUNCT
ejpam-5595	169	14	26	26	NUM
ejpam-5595	169	15	]	]	X
ejpam-5595	169	16	:	:	PUNCT
ejpam-5595	169	17	p1	p1	NOUN
ejpam-5595	169	18	−	−	PROPN
ejpam-5595	169	19	ϵ1e0	ϵ1e0	PROPN
ejpam-5595	170	1	∂φ1	∂φ1	PROPN
ejpam-5595	170	2	∂z	∂z	PROPN
ejpam-5595	171	1	=	=	NOUN
ejpam-5595	171	2	p2	p2	PROPN
ejpam-5595	171	3	−	−	PROPN
ejpam-5595	172	1	ϵ2e0	ϵ2e0	PROPN
ejpam-5595	172	2	∂φ2	∂φ2	PROPN
ejpam-5595	172	3	∂z	∂z	PROPN
ejpam-5595	173	1	−	−	ADP
ejpam-5595	173	2	1	1	NUM
ejpam-5595	174	1	we	we	PRON
ejpam-5595	174	2	(	(	PUNCT
ejpam-5595	174	3	η	η	PROPN
ejpam-5595	174	4	+	+	PROPN
ejpam-5595	174	5	∂2η	∂2η	PROPN
ejpam-5595	174	6	∂z2	∂z2	PROPN
ejpam-5595	174	7	)	)	PUNCT
ejpam-5595	174	8	,	,	PUNCT
ejpam-5595	174	9	at	at	ADP
ejpam-5595	174	10	r	r	PROPN
ejpam-5595	174	11	≈	≈	PROPN
ejpam-5595	174	12	1	1	NUM
ejpam-5595	174	13	,	,	PUNCT
ejpam-5595	174	14	(	(	PUNCT
ejpam-5595	174	15	30	30	NUM
ejpam-5595	174	16	)	)	PUNCT
ejpam-5595	174	17	using	use	VERB
ejpam-5595	174	18	eq	eq	X
ejpam-5595	174	19	.	.	PUNCT
ejpam-5595	174	20	(	(	PUNCT
ejpam-5595	174	21	25	25	NUM
ejpam-5595	174	22	)	)	PUNCT
ejpam-5595	174	23	and	and	CCONJ
ejpam-5595	174	24	substituting	substitute	VERB
ejpam-5595	174	25	from	from	ADP
ejpam-5595	174	26	eqs	eqs	PROPN
ejpam-5595	174	27	.	.	PUNCT
ejpam-5595	174	28	(	(	PUNCT
ejpam-5595	174	29	19	19	NUM
ejpam-5595	174	30	)	)	PUNCT
ejpam-5595	174	31	and	and	CCONJ
ejpam-5595	174	32	(	(	PUNCT
ejpam-5595	174	33	24	24	NUM
ejpam-5595	174	34	)	)	PUNCT
ejpam-5595	174	35	into	into	ADP
ejpam-5595	174	36	the	the	DET
ejpam-5595	174	37	kinematic	kinematic	ADJ
ejpam-5595	174	38	condition	condition	NOUN
ejpam-5595	174	39	(	(	PUNCT
ejpam-5595	174	40	27	27	NUM
ejpam-5595	174	41	)	)	PUNCT
ejpam-5595	174	42	yields	yield	VERB
ejpam-5595	174	43	α1	α1	PROPN
ejpam-5595	174	44	=	=	SYM
ejpam-5595	174	45	−	−	PROPN
ejpam-5595	174	46	iη0	iη0	PROPN
ejpam-5595	174	47	ki1(k	ki1(k	NOUN
ejpam-5595	174	48	)	)	PUNCT
ejpam-5595	174	49	[	[	PUNCT
ejpam-5595	174	50	mω	mω	NOUN
ejpam-5595	174	51	+	+	X
ejpam-5595	174	52	ik	ik	PROPN
ejpam-5595	174	53	(	(	PUNCT
ejpam-5595	174	54	1−	1−	NUM
ejpam-5595	174	55	b	b	NOUN
ejpam-5595	174	56	1−	1−	NUM
ejpam-5595	174	57	b	b	PROPN
ejpam-5595	174	58	/	/	SYM
ejpam-5595	174	59	2	2	NUM
ejpam-5595	174	60	)	)	PUNCT
ejpam-5595	174	61	]	]	PUNCT
ejpam-5595	174	62	,	,	PUNCT
ejpam-5595	174	63	(	(	PUNCT
ejpam-5595	174	64	31	31	NUM
ejpam-5595	174	65	)	)	PUNCT
ejpam-5595	174	66	m.	m.	NOUN
ejpam-5595	174	67	f.	f.	PROPN
ejpam-5595	174	68	el	el	PROPN
ejpam-5595	174	69	-	-	PUNCT
ejpam-5595	174	70	sayed	sayed	PROPN
ejpam-5595	174	71	,	,	PUNCT
ejpam-5595	174	72	d.	d.	PROPN
ejpam-5595	174	73	m.	m.	PROPN
ejpam-5595	174	74	mostafa	mostafa	PROPN
ejpam-5595	174	75	,	,	PUNCT
ejpam-5595	174	76	a.	a.	PROPN
ejpam-5595	174	77	m.	m.	PROPN
ejpam-5595	174	78	f.	f.	PROPN
ejpam-5595	174	79	alrashdi	alrashdi	PROPN
ejpam-5595	174	80	/	/	SYM
ejpam-5595	174	81	eur	eur	PROPN
ejpam-5595	174	82	.	.	PUNCT
ejpam-5595	175	1	j.	j.	PROPN
ejpam-5595	175	2	pure	pure	PROPN
ejpam-5595	175	3	appl	appl	PROPN
ejpam-5595	175	4	.	.	PROPN
ejpam-5595	175	5	math	math	PROPN
ejpam-5595	175	6	,	,	PUNCT
ejpam-5595	175	7	18	18	NUM
ejpam-5595	175	8	(	(	PUNCT
ejpam-5595	175	9	1	1	NUM
ejpam-5595	175	10	)	)	PUNCT
ejpam-5595	175	11	(	(	PUNCT
ejpam-5595	175	12	2025	2025	NUM
ejpam-5595	175	13	)	)	PUNCT
ejpam-5595	175	14	,	,	PUNCT
ejpam-5595	175	15	5595	5595	NUM
ejpam-5595	175	16	9	9	NUM
ejpam-5595	175	17	of	of	ADP
ejpam-5595	175	18	20	20	NUM
ejpam-5595	175	19	α2	α2	ADJ
ejpam-5595	175	20	=	=	PUNCT
ejpam-5595	175	21	−	−	NOUN
ejpam-5595	175	22	imωη0	imωη0	X
ejpam-5595	176	1	kk1(k	kk1(k	NOUN
ejpam-5595	176	2	)	)	PUNCT
ejpam-5595	176	3	.	.	PUNCT
ejpam-5595	177	1	(	(	PUNCT
ejpam-5595	177	2	32	32	NUM
ejpam-5595	177	3	)	)	PUNCT
ejpam-5595	177	4	hence	hence	ADV
ejpam-5595	177	5	,	,	PUNCT
ejpam-5595	177	6	we	we	PRON
ejpam-5595	177	7	obtain	obtain	VERB
ejpam-5595	177	8	the	the	DET
ejpam-5595	177	9	following	follow	VERB
ejpam-5595	177	10	expressions	expression	NOUN
ejpam-5595	177	11	of	of	ADP
ejpam-5595	177	12	stream	stream	NOUN
ejpam-5595	177	13	functions	function	NOUN
ejpam-5595	177	14	:	:	PUNCT
ejpam-5595	177	15	ψ1	ψ1	NOUN
ejpam-5595	177	16	=	=	SYM
ejpam-5595	177	17	−	−	NOUN
ejpam-5595	177	18	iη0r	iη0r	NOUN
ejpam-5595	177	19	ki1(k	ki1(k	NOUN
ejpam-5595	177	20	)	)	PUNCT
ejpam-5595	177	21	[	[	PUNCT
ejpam-5595	177	22	mω	mω	NOUN
ejpam-5595	177	23	+	+	X
ejpam-5595	177	24	ik	ik	PROPN
ejpam-5595	177	25	(	(	PUNCT
ejpam-5595	177	26	1−	1−	NUM
ejpam-5595	177	27	b	b	NOUN
ejpam-5595	177	28	1−	1−	NUM
ejpam-5595	177	29	b	b	PROPN
ejpam-5595	177	30	/	/	SYM
ejpam-5595	177	31	2	2	NUM
ejpam-5595	177	32	)	)	PUNCT
ejpam-5595	177	33	]	]	PUNCT
ejpam-5595	178	1	i1(kr	i1(kr	PROPN
ejpam-5595	178	2	)	)	PUNCT
ejpam-5595	178	3	exp	exp	NOUN
ejpam-5595	178	4	(	(	PUNCT
ejpam-5595	178	5	ikz	ikz	NOUN
ejpam-5595	178	6	+	+	CCONJ
ejpam-5595	178	7	ωt	ωt	PROPN
ejpam-5595	178	8	)	)	PUNCT
ejpam-5595	178	9	,	,	PUNCT
ejpam-5595	178	10	(	(	PUNCT
ejpam-5595	178	11	33	33	NUM
ejpam-5595	178	12	)	)	PUNCT
ejpam-5595	178	13	ψ2	ψ2	NOUN
ejpam-5595	178	14	=	=	SYM
ejpam-5595	178	15	−	−	NOUN
ejpam-5595	178	16	imωrη0	imωrη0	ADJ
ejpam-5595	179	1	kk1(k	kk1(k	NOUN
ejpam-5595	179	2	)	)	PUNCT
ejpam-5595	179	3	k1(kr	k1(kr	NOUN
ejpam-5595	179	4	)	)	PUNCT
ejpam-5595	179	5	exp	exp	NOUN
ejpam-5595	179	6	(	(	PUNCT
ejpam-5595	179	7	ikz	ikz	NOUN
ejpam-5595	179	8	+	+	CCONJ
ejpam-5595	179	9	ωt	ωt	PROPN
ejpam-5595	179	10	)	)	PUNCT
ejpam-5595	179	11	.	.	PUNCT
ejpam-5595	180	1	(	(	PUNCT
ejpam-5595	180	2	34	34	NUM
ejpam-5595	180	3	)	)	PUNCT
ejpam-5595	180	4	also	also	ADV
ejpam-5595	180	5	,	,	PUNCT
ejpam-5595	180	6	substituting	substitute	VERB
ejpam-5595	180	7	eqs	eqs	PROPN
ejpam-5595	180	8	.	.	PUNCT
ejpam-5595	181	1	(	(	PUNCT
ejpam-5595	181	2	18	18	NUM
ejpam-5595	181	3	)	)	PUNCT
ejpam-5595	181	4	and	and	CCONJ
ejpam-5595	181	5	(	(	PUNCT
ejpam-5595	181	6	26	26	NUM
ejpam-5595	181	7	)	)	PUNCT
ejpam-5595	181	8	into	into	ADP
ejpam-5595	181	9	the	the	DET
ejpam-5595	181	10	conditions	condition	NOUN
ejpam-5595	181	11	(	(	PUNCT
ejpam-5595	181	12	28	28	NUM
ejpam-5595	181	13	)	)	PUNCT
ejpam-5595	181	14	and	and	CCONJ
ejpam-5595	181	15	(	(	PUNCT
ejpam-5595	181	16	29	29	NUM
ejpam-5595	181	17	)	)	PUNCT
ejpam-5595	181	18	,	,	PUNCT
ejpam-5595	181	19	yields	yield	NOUN
ejpam-5595	181	20	after	after	ADP
ejpam-5595	181	21	solving	solve	VERB
ejpam-5595	181	22	the	the	DET
ejpam-5595	181	23	resulting	result	VERB
ejpam-5595	181	24	two	two	NUM
ejpam-5595	181	25	equations	equation	NOUN
ejpam-5595	181	26	.	.	PUNCT
ejpam-5595	182	1	α3	α3	NOUN
ejpam-5595	182	2	=	=	SYM
ejpam-5595	182	3	iη0e0	iη0e0	PROPN
ejpam-5595	182	4	(	(	PUNCT
ejpam-5595	182	5	ϵ2	ϵ2	PROPN
ejpam-5595	182	6	−	−	PROPN
ejpam-5595	182	7	ϵ1)k0(k	ϵ1)k0(k	NUM
ejpam-5595	182	8	)	)	PUNCT
ejpam-5595	183	1	[	[	X
ejpam-5595	183	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	183	3	)	)	PUNCT
ejpam-5595	183	4	+	+	CCONJ
ejpam-5595	183	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	183	6	)	)	PUNCT
ejpam-5595	183	7	]	]	PUNCT
ejpam-5595	183	8	,	,	PUNCT
ejpam-5595	183	9	(	(	PUNCT
ejpam-5595	183	10	35	35	NUM
ejpam-5595	183	11	)	)	PUNCT
ejpam-5595	183	12	α4	α4	NOUN
ejpam-5595	183	13	=	=	SYM
ejpam-5595	183	14	iη0e0	iη0e0	PROPN
ejpam-5595	183	15	(	(	PUNCT
ejpam-5595	183	16	ϵ2	ϵ2	ADJ
ejpam-5595	183	17	−	−	PROPN
ejpam-5595	183	18	ϵ1	ϵ1	ADJ
ejpam-5595	183	19	)	)	PUNCT
ejpam-5595	183	20	i0(k	i0(k	NOUN
ejpam-5595	183	21	)	)	PUNCT
ejpam-5595	184	1	[	[	X
ejpam-5595	184	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	184	3	)	)	PUNCT
ejpam-5595	184	4	+	+	CCONJ
ejpam-5595	184	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	184	6	)	)	PUNCT
ejpam-5595	184	7	]	]	PUNCT
ejpam-5595	184	8	.	.	PUNCT
ejpam-5595	185	1	(	(	PUNCT
ejpam-5595	185	2	36	36	NUM
ejpam-5595	185	3	)	)	PUNCT
ejpam-5595	185	4	hence	hence	ADV
ejpam-5595	185	5	,	,	PUNCT
ejpam-5595	185	6	we	we	PRON
ejpam-5595	185	7	obtain	obtain	VERB
ejpam-5595	185	8	the	the	DET
ejpam-5595	185	9	following	follow	VERB
ejpam-5595	185	10	expressions	expression	NOUN
ejpam-5595	185	11	of	of	ADP
ejpam-5595	185	12	electric	electric	ADJ
ejpam-5595	185	13	potential	potential	ADJ
ejpam-5595	185	14	functions	function	NOUN
ejpam-5595	185	15	:	:	PUNCT
ejpam-5595	185	16	φ1	φ1	NOUN
ejpam-5595	185	17	=	=	SYM
ejpam-5595	185	18	iη0e0	iη0e0	PROPN
ejpam-5595	185	19	(	(	PUNCT
ejpam-5595	185	20	ϵ2	ϵ2	VERB
ejpam-5595	185	21	−	−	PROPN
ejpam-5595	185	22	ϵ1)k0(k)i0(kr	ϵ1)k0(k)i0(kr	NOUN
ejpam-5595	185	23	)	)	PUNCT
ejpam-5595	186	1	[	[	X
ejpam-5595	186	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	186	3	)	)	PUNCT
ejpam-5595	186	4	+	+	CCONJ
ejpam-5595	186	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	186	6	)	)	PUNCT
ejpam-5595	186	7	]	]	PUNCT
ejpam-5595	186	8	exp	exp	X
ejpam-5595	186	9	(	(	PUNCT
ejpam-5595	186	10	ikz	ikz	NOUN
ejpam-5595	186	11	+	+	CCONJ
ejpam-5595	186	12	ωt	ωt	PROPN
ejpam-5595	186	13	)	)	PUNCT
ejpam-5595	186	14	(	(	PUNCT
ejpam-5595	186	15	37	37	NUM
ejpam-5595	186	16	)	)	PUNCT
ejpam-5595	186	17	φ2	φ2	NOUN
ejpam-5595	186	18	=	=	PUNCT
ejpam-5595	186	19	iη0e0	iη0e0	PROPN
ejpam-5595	186	20	(	(	PUNCT
ejpam-5595	186	21	ϵ2	ϵ2	ADJ
ejpam-5595	186	22	−	−	PROPN
ejpam-5595	186	23	ϵ1	ϵ1	ADJ
ejpam-5595	186	24	)	)	PUNCT
ejpam-5595	186	25	i0(k)k0(kr	i0(k)k0(kr	NOUN
ejpam-5595	186	26	)	)	PUNCT
ejpam-5595	187	1	[	[	X
ejpam-5595	187	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	187	3	)	)	PUNCT
ejpam-5595	187	4	+	+	CCONJ
ejpam-5595	187	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	187	6	)	)	PUNCT
ejpam-5595	187	7	]	]	PUNCT
ejpam-5595	187	8	exp	exp	X
ejpam-5595	187	9	(	(	PUNCT
ejpam-5595	187	10	ikz	ikz	NOUN
ejpam-5595	187	11	+	+	CCONJ
ejpam-5595	187	12	ωt	ωt	PROPN
ejpam-5595	187	13	)	)	PUNCT
ejpam-5595	187	14	(	(	PUNCT
ejpam-5595	187	15	38	38	NUM
ejpam-5595	187	16	)	)	PUNCT
ejpam-5595	187	17	the	the	DET
ejpam-5595	187	18	liquid	liquid	ADJ
ejpam-5595	187	19	pressures	pressure	NOUN
ejpam-5595	187	20	p1	p1	NOUN
ejpam-5595	187	21	and	and	CCONJ
ejpam-5595	187	22	p2	p2	PROPN
ejpam-5595	187	23	may	may	AUX
ejpam-5595	187	24	be	be	AUX
ejpam-5595	187	25	obtained	obtain	VERB
ejpam-5595	187	26	by	by	ADP
ejpam-5595	187	27	substitution	substitution	NOUN
ejpam-5595	187	28	from	from	ADP
ejpam-5595	187	29	eqs	eqs	PROPN
ejpam-5595	187	30	.	.	PUNCT
ejpam-5595	188	1	(	(	PUNCT
ejpam-5595	188	2	18	18	NUM
ejpam-5595	188	3	)	)	PUNCT
ejpam-5595	188	4	,	,	PUNCT
ejpam-5595	188	5	(	(	PUNCT
ejpam-5595	188	6	19	19	NUM
ejpam-5595	188	7	)	)	PUNCT
ejpam-5595	188	8	,	,	PUNCT
ejpam-5595	188	9	(	(	PUNCT
ejpam-5595	188	10	21	21	NUM
ejpam-5595	188	11	)	)	PUNCT
ejpam-5595	188	12	,	,	PUNCT
ejpam-5595	188	13	(	(	PUNCT
ejpam-5595	188	14	33	33	NUM
ejpam-5595	188	15	)	)	PUNCT
ejpam-5595	188	16	and	and	CCONJ
ejpam-5595	188	17	(	(	PUNCT
ejpam-5595	188	18	34	34	NUM
ejpam-5595	188	19	)	)	PUNCT
ejpam-5595	188	20	into	into	ADP
ejpam-5595	188	21	eq	eq	NOUN
ejpam-5595	188	22	.	.	PUNCT
ejpam-5595	189	1	(	(	PUNCT
ejpam-5595	189	2	11	11	NUM
ejpam-5595	189	3	)	)	PUNCT
ejpam-5595	189	4	as	as	SCONJ
ejpam-5595	189	5	follows	follow	VERB
ejpam-5595	189	6	:	:	PUNCT
ejpam-5595	189	7	p1	p1	NOUN
ejpam-5595	189	8	=	=	PUNCT
ejpam-5595	189	9	−	−	PROPN
ejpam-5595	189	10	η0	η0	NOUN
ejpam-5595	189	11	m2ki1(k	m2ki1(k	NOUN
ejpam-5595	189	12	)	)	PUNCT
ejpam-5595	189	13	[	[	PUNCT
ejpam-5595	189	14	mω	mω	NOUN
ejpam-5595	189	15	+	+	X
ejpam-5595	189	16	ik	ik	PROPN
ejpam-5595	189	17	(	(	PUNCT
ejpam-5595	189	18	1−	1−	NUM
ejpam-5595	189	19	b	b	NOUN
ejpam-5595	189	20	1−	1−	NUM
ejpam-5595	189	21	(	(	PUNCT
ejpam-5595	189	22	b	b	NOUN
ejpam-5595	189	23	/	/	SYM
ejpam-5595	189	24	2	2	NUM
ejpam-5595	189	25	)	)	PUNCT
ejpam-5595	189	26	)	)	PUNCT
ejpam-5595	189	27	]	]	PUNCT
ejpam-5595	190	1	×	×	NOUN
ejpam-5595	190	2	{	{	PUNCT
ejpam-5595	190	3	[	[	PUNCT
ejpam-5595	190	4	mω	mω	NOUN
ejpam-5595	190	5	+	+	X
ejpam-5595	190	6	ik	ik	PROPN
ejpam-5595	190	7	(	(	PUNCT
ejpam-5595	190	8	1−	1−	NUM
ejpam-5595	190	9	br2	br2	PROPN
ejpam-5595	190	10	1−	1−	NUM
ejpam-5595	190	11	(	(	PUNCT
ejpam-5595	190	12	b⧸2	b⧸2	PROPN
ejpam-5595	190	13	)	)	PUNCT
ejpam-5595	190	14	)	)	PUNCT
ejpam-5595	191	1	+	+	CCONJ
ejpam-5595	191	2	m2	m2	PROPN
ejpam-5595	191	3	k1	k1	PROPN
ejpam-5595	191	4	(	(	PUNCT
ejpam-5595	191	5	ν1	ν1	NOUN
ejpam-5595	191	6	−	−	PROPN
ejpam-5595	191	7	ωλ1	ωλ1	NOUN
ejpam-5595	191	8	)	)	PUNCT
ejpam-5595	191	9	]	]	PUNCT
ejpam-5595	191	10	i0(kr	i0(kr	ADP
ejpam-5595	191	11	)	)	PUNCT
ejpam-5595	191	12	+	+	CCONJ
ejpam-5595	191	13	(	(	PUNCT
ejpam-5595	191	14	2ibr	2ibr	NUM
ejpam-5595	191	15	1−	1−	NUM
ejpam-5595	191	16	(	(	PUNCT
ejpam-5595	191	17	b⧸2	b⧸2	NOUN
ejpam-5595	191	18	)	)	PUNCT
ejpam-5595	191	19	)	)	PUNCT
ejpam-5595	192	1	i1(kr	i1(kr	ADP
ejpam-5595	192	2	)	)	PUNCT
ejpam-5595	192	3	}	}	PUNCT
ejpam-5595	192	4	exp	exp	NOUN
ejpam-5595	192	5	(	(	PUNCT
ejpam-5595	192	6	ikz	ikz	NOUN
ejpam-5595	192	7	+	+	CCONJ
ejpam-5595	192	8	ωt	ωt	PROPN
ejpam-5595	192	9	)	)	PUNCT
ejpam-5595	192	10	,	,	PUNCT
ejpam-5595	192	11	(	(	PUNCT
ejpam-5595	192	12	39	39	NUM
ejpam-5595	192	13	)	)	PUNCT
ejpam-5595	192	14	p2	p2	NOUN
ejpam-5595	192	15	=	=	SYM
ejpam-5595	192	16	ωη0ρ	ωη0ρ	ADJ
ejpam-5595	192	17	kk1	kk1	NOUN
ejpam-5595	192	18	(	(	PUNCT
ejpam-5595	192	19	k	k	NOUN
ejpam-5595	192	20	)	)	PUNCT
ejpam-5595	192	21	[	[	PUNCT
ejpam-5595	192	22	ω	ω	NOUN
ejpam-5595	192	23	+	+	NUM
ejpam-5595	192	24	m	m	PROPN
ejpam-5595	192	25	k1	k1	NOUN
ejpam-5595	192	26	(	(	PUNCT
ejpam-5595	192	27	ν2	ν2	NOUN
ejpam-5595	192	28	−	−	NOUN
ejpam-5595	192	29	ωλ2	ωλ2	NOUN
ejpam-5595	192	30	)	)	PUNCT
ejpam-5595	192	31	]	]	PUNCT
ejpam-5595	193	1	k0	k0	PROPN
ejpam-5595	193	2	(	(	PUNCT
ejpam-5595	193	3	kr	kr	PROPN
ejpam-5595	193	4	)	)	PUNCT
ejpam-5595	193	5	exp	exp	NOUN
ejpam-5595	193	6	(	(	PUNCT
ejpam-5595	193	7	ikz	ikz	NOUN
ejpam-5595	193	8	+	+	CCONJ
ejpam-5595	193	9	ωt	ωt	PROPN
ejpam-5595	193	10	)	)	PUNCT
ejpam-5595	193	11	.	.	PUNCT
ejpam-5595	194	1	(	(	PUNCT
ejpam-5595	194	2	40	40	NUM
ejpam-5595	194	3	)	)	PUNCT
ejpam-5595	194	4	note	note	VERB
ejpam-5595	194	5	that	that	SCONJ
ejpam-5595	194	6	,	,	PUNCT
ejpam-5595	194	7	in	in	ADP
ejpam-5595	194	8	the	the	DET
ejpam-5595	194	9	derivation	derivation	NOUN
ejpam-5595	194	10	of	of	ADP
ejpam-5595	194	11	the	the	DET
ejpam-5595	194	12	above	above	ADJ
ejpam-5595	194	13	solutions	solution	NOUN
ejpam-5595	194	14	,	,	PUNCT
ejpam-5595	194	15	we	we	PRON
ejpam-5595	194	16	have	have	AUX
ejpam-5595	194	17	used	use	VERB
ejpam-5595	194	18	the	the	DET
ejpam-5595	194	19	following	follow	VERB
ejpam-5595	194	20	recurrence	recurrence	NOUN
ejpam-5595	194	21	relations	relation	NOUN
ejpam-5595	195	1	[	[	X
ejpam-5595	195	2	37	37	NUM
ejpam-5595	195	3	]	]	PUNCT
ejpam-5595	195	4	.	.	PUNCT
ejpam-5595	196	1	i	i	PRON
ejpam-5595	196	2	′0(kr	′0(kr	PROPN
ejpam-5595	196	3	)	)	PUNCT
ejpam-5595	196	4	=	=	SYM
ejpam-5595	196	5	ki1(kr	ki1(kr	NOUN
ejpam-5595	196	6	)	)	PUNCT
ejpam-5595	196	7	,	,	PUNCT
ejpam-5595	196	8	k	k	PROPN
ejpam-5595	196	9	′	′	NUM
ejpam-5595	196	10	0(kr	0(kr	NOUN
ejpam-5595	196	11	)	)	PUNCT
ejpam-5595	196	12	=	=	SYM
ejpam-5595	196	13	−kk1(kr	−kk1(kr	NOUN
ejpam-5595	196	14	)	)	PUNCT
ejpam-5595	196	15	,	,	PUNCT
ejpam-5595	196	16	ri	ri	PROPN
ejpam-5595	196	17	′1(kr	′1(kr	PROPN
ejpam-5595	196	18	)	)	PUNCT
ejpam-5595	196	19	=	=	SYM
ejpam-5595	196	20	kri0(kr)−	kri0(kr)−	NOUN
ejpam-5595	196	21	i1(kr	i1(kr	NOUN
ejpam-5595	196	22	)	)	PUNCT
ejpam-5595	196	23	,	,	PUNCT
ejpam-5595	196	24	rk	rk	PROPN
ejpam-5595	196	25	′	′	NOUN
ejpam-5595	196	26	1(kr	1(kr	NUM
ejpam-5595	196	27	)	)	PUNCT
ejpam-5595	196	28	=	=	PUNCT
ejpam-5595	196	29	−krk0(kr)−k1(kr	−krk0(kr)−k1(kr	NOUN
ejpam-5595	196	30	)	)	PUNCT
ejpam-5595	196	31	.	.	PUNCT
ejpam-5595	197	1	m.	m.	PROPN
ejpam-5595	197	2	f.	f.	PROPN
ejpam-5595	197	3	el	el	PROPN
ejpam-5595	197	4	-	-	PUNCT
ejpam-5595	197	5	sayed	sayed	PROPN
ejpam-5595	197	6	,	,	PUNCT
ejpam-5595	197	7	d.	d.	PROPN
ejpam-5595	197	8	m.	m.	PROPN
ejpam-5595	197	9	mostafa	mostafa	PROPN
ejpam-5595	197	10	,	,	PUNCT
ejpam-5595	197	11	a.	a.	PROPN
ejpam-5595	197	12	m.	m.	PROPN
ejpam-5595	197	13	f.	f.	PROPN
ejpam-5595	197	14	alrashdi	alrashdi	PROPN
ejpam-5595	197	15	/	/	SYM
ejpam-5595	197	16	eur	eur	PROPN
ejpam-5595	197	17	.	.	PUNCT
ejpam-5595	198	1	j.	j.	PROPN
ejpam-5595	198	2	pure	pure	PROPN
ejpam-5595	198	3	appl	appl	PROPN
ejpam-5595	198	4	.	.	PROPN
ejpam-5595	198	5	math	math	PROPN
ejpam-5595	198	6	,	,	PUNCT
ejpam-5595	198	7	18	18	NUM
ejpam-5595	198	8	(	(	PUNCT
ejpam-5595	198	9	1	1	NUM
ejpam-5595	198	10	)	)	PUNCT
ejpam-5595	198	11	(	(	PUNCT
ejpam-5595	198	12	2025	2025	NUM
ejpam-5595	198	13	)	)	PUNCT
ejpam-5595	198	14	,	,	PUNCT
ejpam-5595	198	15	5595	5595	NUM
ejpam-5595	198	16	10	10	NUM
ejpam-5595	198	17	of	of	ADP
ejpam-5595	198	18	20	20	NUM
ejpam-5595	198	19	5	5	NUM
ejpam-5595	198	20	.	.	PUNCT
ejpam-5595	199	1	derivation	derivation	NOUN
ejpam-5595	199	2	of	of	ADP
ejpam-5595	199	3	the	the	DET
ejpam-5595	199	4	dispersion	dispersion	NOUN
ejpam-5595	199	5	relation	relation	NOUN
ejpam-5595	199	6	the	the	DET
ejpam-5595	199	7	dispersion	dispersion	NOUN
ejpam-5595	199	8	relation	relation	NOUN
ejpam-5595	199	9	is	be	AUX
ejpam-5595	199	10	obtained	obtain	VERB
ejpam-5595	199	11	by	by	ADP
ejpam-5595	199	12	substituting	substitute	VERB
ejpam-5595	199	13	from	from	ADP
ejpam-5595	199	14	eqs	eqs	PROPN
ejpam-5595	199	15	.	.	PUNCT
ejpam-5595	200	1	(	(	PUNCT
ejpam-5595	200	2	37)–(40	37)–(40	NUM
ejpam-5595	200	3	)	)	PUNCT
ejpam-5595	200	4	and	and	CCONJ
ejpam-5595	200	5	(	(	PUNCT
ejpam-5595	200	6	24	24	NUM
ejpam-5595	200	7	)	)	PUNCT
ejpam-5595	200	8	into	into	ADP
ejpam-5595	200	9	eq	eq	NOUN
ejpam-5595	200	10	.	.	PUNCT
ejpam-5595	201	1	(	(	PUNCT
ejpam-5595	201	2	30	30	NUM
ejpam-5595	201	3	)	)	PUNCT
ejpam-5595	201	4	.	.	PUNCT
ejpam-5595	202	1	1	1	NUM
ejpam-5595	202	2	m2	m2	PROPN
ejpam-5595	202	3	[	[	PUNCT
ejpam-5595	202	4	mω+	mω+	NOUN
ejpam-5595	202	5	ik	ik	PROPN
ejpam-5595	202	6	√	√	VERB
ejpam-5595	202	7	we	we	PRON
ejpam-5595	202	8	(	(	PUNCT
ejpam-5595	202	9	1−	1−	NUM
ejpam-5595	202	10	b	b	NOUN
ejpam-5595	202	11	1−	1−	NUM
ejpam-5595	202	12	(	(	PUNCT
ejpam-5595	202	13	b⧸2	b⧸2	PROPN
ejpam-5595	202	14	)	)	PUNCT
ejpam-5595	202	15	)	)	PUNCT
ejpam-5595	202	16	]	]	PUNCT
ejpam-5595	202	17	2	2	NUM
ejpam-5595	202	18	i0(k	i0(k	NOUN
ejpam-5595	202	19	)	)	PUNCT
ejpam-5595	202	20	i1(k	i1(k	NOUN
ejpam-5595	202	21	)	)	PUNCT
ejpam-5595	202	22	+	+	NOUN
ejpam-5595	202	23	ρ	ρ	NOUN
ejpam-5595	202	24	[	[	PUNCT
ejpam-5595	202	25	ω2	ω2	ADJ
ejpam-5595	202	26	+	+	CCONJ
ejpam-5595	202	27	m	m	PROPN
ejpam-5595	202	28	k1	k1	PROPN
ejpam-5595	202	29	ω	ω	NOUN
ejpam-5595	202	30	√	√	PROPN
ejpam-5595	202	31	we	we	PRON
ejpam-5595	202	32	(	(	PUNCT
ejpam-5595	202	33	ν2	ν2	ADP
ejpam-5595	202	34	−	−	PROPN
ejpam-5595	202	35	ω√	ω√	NOUN
ejpam-5595	202	36	we	we	PRON
ejpam-5595	202	37	λ2	λ2	NOUN
ejpam-5595	202	38	)	)	PUNCT
ejpam-5595	202	39	]	]	PUNCT
ejpam-5595	202	40	k0(k	k0(k	X
ejpam-5595	202	41	)	)	PUNCT
ejpam-5595	202	42	k1(k	k1(k	PROPN
ejpam-5595	202	43	)	)	PUNCT
ejpam-5595	202	44	+	+	CCONJ
ejpam-5595	202	45	√	√	VERB
ejpam-5595	202	46	we	we	PRON
ejpam-5595	202	47	[	[	PUNCT
ejpam-5595	202	48	mω+	mω+	X
ejpam-5595	202	49	ik	ik	PROPN
ejpam-5595	202	50	√	√	VERB
ejpam-5595	202	51	we	we	PRON
ejpam-5595	202	52	(	(	PUNCT
ejpam-5595	202	53	1−	1−	NUM
ejpam-5595	202	54	b	b	NOUN
ejpam-5595	202	55	1−	1−	NUM
ejpam-5595	202	56	(	(	PUNCT
ejpam-5595	202	57	b⧸2	b⧸2	PROPN
ejpam-5595	202	58	)	)	PUNCT
ejpam-5595	202	59	)	)	PUNCT
ejpam-5595	202	60	]	]	PUNCT
ejpam-5595	203	1	×	×	NOUN
ejpam-5595	203	2	[	[	PUNCT
ejpam-5595	203	3	1	1	NUM
ejpam-5595	203	4	m2	m2	PROPN
ejpam-5595	203	5	(	(	PUNCT
ejpam-5595	203	6	2ib	2ib	ADJ
ejpam-5595	203	7	1−	1−	NUM
ejpam-5595	203	8	b⧸2	b⧸2	NOUN
ejpam-5595	203	9	)	)	PUNCT
ejpam-5595	204	1	+	+	CCONJ
ejpam-5595	204	2	1	1	NUM
ejpam-5595	204	3	k1	k1	NOUN
ejpam-5595	204	4	(	(	PUNCT
ejpam-5595	204	5	ν1	ν1	NOUN
ejpam-5595	204	6	−	−	PROPN
ejpam-5595	204	7	ω√	ω√	PROPN
ejpam-5595	204	8	we	we	PRON
ejpam-5595	204	9	λ1	λ1	VERB
ejpam-5595	204	10	)	)	PUNCT
ejpam-5595	204	11	i0(k	i0(k	NOUN
ejpam-5595	204	12	)	)	PUNCT
ejpam-5595	204	13	i1(k	i1(k	NOUN
ejpam-5595	204	14	)	)	PUNCT
ejpam-5595	204	15	]	]	PUNCT
ejpam-5595	205	1	+	+	CCONJ
ejpam-5595	205	2	k2e2	k2e2	X
ejpam-5595	205	3	0	0	PUNCT
ejpam-5595	206	1	(	(	PUNCT
ejpam-5595	206	2	ϵ2	ϵ2	ADJ
ejpam-5595	206	3	−	−	PROPN
ejpam-5595	206	4	ϵ1	ϵ1	ADJ
ejpam-5595	206	5	)	)	PUNCT
ejpam-5595	206	6	2k0(k)i0(k	2k0(k)i0(k	NUM
ejpam-5595	206	7	)	)	PUNCT
ejpam-5595	206	8	(	(	PUNCT
ejpam-5595	206	9	we	we	PRON
ejpam-5595	206	10	)	)	PUNCT
ejpam-5595	207	1	[	[	X
ejpam-5595	207	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	207	3	)	)	PUNCT
ejpam-5595	207	4	+	+	CCONJ
ejpam-5595	207	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	207	6	)	)	PUNCT
ejpam-5595	207	7	]	]	PUNCT
ejpam-5595	208	1	−	−	PROPN
ejpam-5595	208	2	k	k	X
ejpam-5595	208	3	(	(	PUNCT
ejpam-5595	208	4	1−	1−	NUM
ejpam-5595	208	5	k2	k2	NOUN
ejpam-5595	208	6	)	)	PUNCT
ejpam-5595	208	7	=	=	SYM
ejpam-5595	208	8	0	0	NUM
ejpam-5595	208	9	,	,	PUNCT
ejpam-5595	208	10	(	(	PUNCT
ejpam-5595	208	11	41	41	NUM
ejpam-5595	208	12	)	)	PUNCT
ejpam-5595	208	13	where	where	SCONJ
ejpam-5595	208	14	ω	ω	X
ejpam-5595	208	15	=	=	SYM
ejpam-5595	208	16	ω	ω	PROPN
ejpam-5595	208	17	√	√	PROPN
ejpam-5595	209	1	we	we	PRON
ejpam-5595	209	2	is	be	AUX
ejpam-5595	209	3	the	the	DET
ejpam-5595	209	4	complex	complex	ADJ
ejpam-5595	209	5	non	non	ADJ
ejpam-5595	209	6	-	-	ADJ
ejpam-5595	209	7	dimension	dimension	ADJ
ejpam-5595	209	8	growth	growth	NOUN
ejpam-5595	209	9	rate	rate	NOUN
ejpam-5595	209	10	,	,	PUNCT
ejpam-5595	209	11	i.e.	i.e.	X
ejpam-5595	209	12	,	,	PUNCT
ejpam-5595	209	13	ω	ω	X
ejpam-5595	209	14	=	=	SYM
ejpam-5595	209	15	ωr	ωr	PROPN
ejpam-5595	209	16	+	+	NUM
ejpam-5595	209	17	iωi	iωi	NOUN
ejpam-5595	209	18	.	.	PUNCT
ejpam-5595	210	1	from	from	ADP
ejpam-5595	210	2	the	the	DET
ejpam-5595	210	3	dispersion	dispersion	NOUN
ejpam-5595	210	4	relation	relation	NOUN
ejpam-5595	210	5	(	(	PUNCT
ejpam-5595	210	6	41	41	NUM
ejpam-5595	210	7	)	)	PUNCT
ejpam-5595	210	8	,	,	PUNCT
ejpam-5595	210	9	we	we	PRON
ejpam-5595	210	10	conclude	conclude	VERB
ejpam-5595	210	11	the	the	DET
ejpam-5595	210	12	following	follow	VERB
ejpam-5595	210	13	limiting	limit	VERB
ejpam-5595	210	14	cases	case	NOUN
ejpam-5595	210	15	:	:	PUNCT
ejpam-5595	210	16	(	(	PUNCT
ejpam-5595	210	17	1	1	X
ejpam-5595	210	18	)	)	PUNCT
ejpam-5595	210	19	el	el	PROPN
ejpam-5595	210	20	-	-	PUNCT
ejpam-5595	210	21	sayed	sayed	PROPN
ejpam-5595	211	1	[	[	X
ejpam-5595	211	2	12	12	NUM
ejpam-5595	211	3	]	]	PUNCT
ejpam-5595	211	4	has	have	AUX
ejpam-5595	211	5	previously	previously	ADV
ejpam-5595	211	6	acquired	acquire	VERB
ejpam-5595	211	7	the	the	DET
ejpam-5595	211	8	same	same	ADJ
ejpam-5595	211	9	dispersion	dispersion	NOUN
ejpam-5595	211	10	relation	relation	NOUN
ejpam-5595	211	11	when	when	SCONJ
ejpam-5595	211	12	the	the	DET
ejpam-5595	211	13	viscoelastic	viscoelastic	ADJ
ejpam-5595	211	14	parameters	parameter	NOUN
ejpam-5595	211	15	λ1	λ1	PROPN
ejpam-5595	211	16	=	=	SYM
ejpam-5595	211	17	0	0	NUM
ejpam-5595	211	18	and	and	CCONJ
ejpam-5595	211	19	λ2	λ2	PROPN
ejpam-5595	211	20	=	=	SYM
ejpam-5595	211	21	0	0	NUM
ejpam-5595	211	22	.	.	PUNCT
ejpam-5595	212	1	(	(	PUNCT
ejpam-5595	212	2	2	2	X
ejpam-5595	212	3	)	)	PUNCT
ejpam-5595	212	4	we	we	PRON
ejpam-5595	212	5	get	get	VERB
ejpam-5595	212	6	to	to	ADP
ejpam-5595	212	7	the	the	DET
ejpam-5595	212	8	same	same	ADJ
ejpam-5595	212	9	dispersion	dispersion	NOUN
ejpam-5595	212	10	relation	relation	NOUN
ejpam-5595	212	11	that	that	PRON
ejpam-5595	212	12	marshall	marshall	PROPN
ejpam-5595	212	13	and	and	CCONJ
ejpam-5595	212	14	ibrahim	ibrahim	PROPN
ejpam-5595	213	1	[	[	X
ejpam-5595	213	2	19	19	NUM
ejpam-5595	213	3	]	]	PUNCT
ejpam-5595	213	4	had	have	AUX
ejpam-5595	213	5	previously	previously	ADV
ejpam-5595	213	6	discovered	discover	VERB
ejpam-5595	213	7	in	in	ADP
ejpam-5595	213	8	the	the	DET
ejpam-5595	213	9	absence	absence	NOUN
ejpam-5595	213	10	of	of	ADP
ejpam-5595	213	11	the	the	DET
ejpam-5595	213	12	viscoelastic	viscoelastic	ADJ
ejpam-5595	213	13	term	term	NOUN
ejpam-5595	213	14	,	,	PUNCT
ejpam-5595	213	15	the	the	DET
ejpam-5595	213	16	electric	electric	ADJ
ejpam-5595	213	17	field	field	NOUN
ejpam-5595	213	18	,	,	PUNCT
ejpam-5595	213	19	and	and	CCONJ
ejpam-5595	213	20	the	the	DET
ejpam-5595	213	21	permeable	permeable	ADJ
ejpam-5595	213	22	medium	medium	NOUN
ejpam-5595	213	23	(	(	PUNCT
ejpam-5595	213	24	i.e.	i.e.	X
ejpam-5595	213	25	,	,	PUNCT
ejpam-5595	213	26	when	when	SCONJ
ejpam-5595	213	27	m	m	VERB
ejpam-5595	213	28	=	=	SYM
ejpam-5595	213	29	1	1	NUM
ejpam-5595	213	30	and	and	CCONJ
ejpam-5595	213	31	k1	k1	PROPN
ejpam-5595	213	32	→	→	SYM
ejpam-5595	213	33	∞	∞	NUM
ejpam-5595	213	34	)	)	PUNCT
ejpam-5595	213	35	.	.	PUNCT
ejpam-5595	214	1	rewriting	rewrite	VERB
ejpam-5595	214	2	eq	eq	ADP
ejpam-5595	214	3	.	.	PUNCT
ejpam-5595	215	1	(	(	PUNCT
ejpam-5595	215	2	41	41	NUM
ejpam-5595	215	3	)	)	PUNCT
ejpam-5595	215	4	as	as	ADV
ejpam-5595	215	5	simply	simply	ADV
ejpam-5595	215	6	as	as	ADP
ejpam-5595	215	7	possible	possible	ADJ
ejpam-5595	215	8	:	:	PUNCT
ejpam-5595	215	9	b1ω	b1ω	ADP
ejpam-5595	215	10	2	2	NUM
ejpam-5595	215	11	+	+	NOUN
ejpam-5595	215	12	b2ω+b3	b2ω+b3	NOUN
ejpam-5595	215	13	=	=	SYM
ejpam-5595	215	14	0	0	PROPN
ejpam-5595	215	15	,	,	PUNCT
ejpam-5595	215	16	(	(	PUNCT
ejpam-5595	215	17	42	42	NUM
ejpam-5595	215	18	)	)	PUNCT
ejpam-5595	215	19	where	where	SCONJ
ejpam-5595	215	20	b1	b1	NOUN
ejpam-5595	215	21	=	=	SYM
ejpam-5595	215	22	(	(	PUNCT
ejpam-5595	215	23	1−	1−	NUM
ejpam-5595	215	24	mλ1	mλ1	NOUN
ejpam-5595	215	25	k1	k1	X
ejpam-5595	215	26	)	)	PUNCT
ejpam-5595	215	27	i0(k	i0(k	NOUN
ejpam-5595	215	28	)	)	PUNCT
ejpam-5595	215	29	i1(k	i1(k	NOUN
ejpam-5595	215	30	)	)	PUNCT
ejpam-5595	216	1	+	+	NUM
ejpam-5595	216	2	ρ	ρ	PROPN
ejpam-5595	216	3	(	(	PUNCT
ejpam-5595	216	4	1−	1−	NUM
ejpam-5595	216	5	mλ2	mλ2	NOUN
ejpam-5595	216	6	k1	k1	NOUN
ejpam-5595	216	7	)	)	PUNCT
ejpam-5595	216	8	k0(k	k0(k	PROPN
ejpam-5595	216	9	)	)	PUNCT
ejpam-5595	216	10	k1(k	k1(k	PROPN
ejpam-5595	216	11	)	)	PUNCT
ejpam-5595	216	12	,	,	PUNCT
ejpam-5595	216	13	(	(	PUNCT
ejpam-5595	216	14	43	43	X
ejpam-5595	216	15	)	)	PUNCT
ejpam-5595	216	16	b2	b2	NOUN
ejpam-5595	216	17	=	=	SYM
ejpam-5595	216	18	√	√	PUNCT
ejpam-5595	216	19	we	we	PRON
ejpam-5595	216	20	{	{	PUNCT
ejpam-5595	216	21	m	m	PROPN
ejpam-5595	216	22	k1	k1	PROPN
ejpam-5595	216	23	[	[	PUNCT
ejpam-5595	216	24	ν1	ν1	NOUN
ejpam-5595	216	25	i0(k	i0(k	NOUN
ejpam-5595	216	26	)	)	PUNCT
ejpam-5595	216	27	i1(k	i1(k	NOUN
ejpam-5595	216	28	)	)	PUNCT
ejpam-5595	216	29	+	+	NUM
ejpam-5595	216	30	ρν2	ρν2	NUM
ejpam-5595	216	31	k0(k	k0(k	X
ejpam-5595	216	32	)	)	PUNCT
ejpam-5595	216	33	k1(k	k1(k	PROPN
ejpam-5595	216	34	)	)	PUNCT
ejpam-5595	216	35	]	]	PUNCT
ejpam-5595	217	1	+	+	CCONJ
ejpam-5595	217	2	i	i	PRON
ejpam-5595	217	3	[	[	X
ejpam-5595	217	4	(	(	PUNCT
ejpam-5595	217	5	1−	1−	NUM
ejpam-5595	217	6	b	b	NOUN
ejpam-5595	217	7	1−	1−	NUM
ejpam-5595	217	8	(	(	PUNCT
ejpam-5595	217	9	b⧸2	b⧸2	PROPN
ejpam-5595	217	10	)	)	PUNCT
ejpam-5595	217	11	)	)	PUNCT
ejpam-5595	217	12	(	(	PUNCT
ejpam-5595	217	13	2k	2k	NUM
ejpam-5595	217	14	m	m	VERB
ejpam-5595	217	15	−	−	PROPN
ejpam-5595	217	16	k	k	PROPN
ejpam-5595	217	17	λ1	λ1	PROPN
ejpam-5595	217	18	k1	k1	PROPN
ejpam-5595	217	19	)	)	PUNCT
ejpam-5595	217	20	i0(k	i0(k	NOUN
ejpam-5595	217	21	)	)	PUNCT
ejpam-5595	217	22	i1(k	i1(k	NOUN
ejpam-5595	217	23	)	)	PUNCT
ejpam-5595	217	24	+	+	CCONJ
ejpam-5595	217	25	1	1	NUM
ejpam-5595	217	26	m	m	NOUN
ejpam-5595	217	27	(	(	PUNCT
ejpam-5595	217	28	2b	2b	NUM
ejpam-5595	217	29	1−	1−	NUM
ejpam-5595	217	30	b⧸2	b⧸2	PROPN
ejpam-5595	217	31	)	)	PUNCT
ejpam-5595	217	32	]	]	PUNCT
ejpam-5595	217	33	}	}	PUNCT
ejpam-5595	217	34	,	,	PUNCT
ejpam-5595	217	35	(	(	PUNCT
ejpam-5595	217	36	44	44	NUM
ejpam-5595	217	37	)	)	PUNCT
ejpam-5595	217	38	b3	b3	NOUN
ejpam-5595	217	39	=	=	SYM
ejpam-5595	217	40	(	(	PUNCT
ejpam-5595	217	41	we	we	PRON
ejpam-5595	217	42	)	)	PUNCT
ejpam-5595	217	43	{	{	PUNCT
ejpam-5595	217	44	(	(	PUNCT
ejpam-5595	217	45	1−	1−	NUM
ejpam-5595	217	46	b	b	NOUN
ejpam-5595	217	47	1−	1−	NUM
ejpam-5595	217	48	(	(	PUNCT
ejpam-5595	217	49	b⧸2	b⧸2	PROPN
ejpam-5595	217	50	)	)	PUNCT
ejpam-5595	217	51	)	)	PUNCT
ejpam-5595	217	52	×	×	NOUN
ejpam-5595	218	1	[	[	X
ejpam-5595	218	2	(	(	PUNCT
ejpam-5595	218	3	−	−	PROPN
ejpam-5595	218	4	k2	k2	X
ejpam-5595	218	5	(	(	PUNCT
ejpam-5595	218	6	1−	1−	NUM
ejpam-5595	218	7	b	b	NOUN
ejpam-5595	218	8	)	)	PUNCT
ejpam-5595	218	9	m2	m2	PROPN
ejpam-5595	218	10	(	(	PUNCT
ejpam-5595	218	11	1−	1−	NUM
ejpam-5595	218	12	(	(	PUNCT
ejpam-5595	218	13	b⧸2	b⧸2	NOUN
ejpam-5595	218	14	)	)	PUNCT
ejpam-5595	218	15	)	)	PUNCT
ejpam-5595	218	16	+	+	CCONJ
ejpam-5595	218	17	ikν1	ikν1	NOUN
ejpam-5595	218	18	k1	k1	NOUN
ejpam-5595	218	19	)	)	PUNCT
ejpam-5595	218	20	i0(k	i0(k	NOUN
ejpam-5595	218	21	)	)	PUNCT
ejpam-5595	218	22	i1(k	i1(k	NOUN
ejpam-5595	218	23	)	)	PUNCT
ejpam-5595	218	24	−	−	PROPN
ejpam-5595	218	25	2	2	NUM
ejpam-5595	218	26	kb	kb	PROPN
ejpam-5595	218	27	m2	m2	PROPN
ejpam-5595	218	28	(	(	PUNCT
ejpam-5595	218	29	1−	1−	NUM
ejpam-5595	218	30	b⧸2	b⧸2	PROPN
ejpam-5595	218	31	)	)	PUNCT
ejpam-5595	218	32	]	]	PUNCT
ejpam-5595	218	33	m.	m.	PROPN
ejpam-5595	218	34	f.	f.	PROPN
ejpam-5595	218	35	el	el	PROPN
ejpam-5595	218	36	-	-	PUNCT
ejpam-5595	218	37	sayed	sayed	PROPN
ejpam-5595	218	38	,	,	PUNCT
ejpam-5595	218	39	d.	d.	PROPN
ejpam-5595	218	40	m.	m.	PROPN
ejpam-5595	218	41	mostafa	mostafa	PROPN
ejpam-5595	218	42	,	,	PUNCT
ejpam-5595	218	43	a.	a.	PROPN
ejpam-5595	218	44	m.	m.	PROPN
ejpam-5595	218	45	f.	f.	PROPN
ejpam-5595	218	46	alrashdi	alrashdi	PROPN
ejpam-5595	218	47	/	/	SYM
ejpam-5595	218	48	eur	eur	PROPN
ejpam-5595	218	49	.	.	PUNCT
ejpam-5595	219	1	j.	j.	PROPN
ejpam-5595	219	2	pure	pure	PROPN
ejpam-5595	219	3	appl	appl	PROPN
ejpam-5595	219	4	.	.	PROPN
ejpam-5595	219	5	math	math	PROPN
ejpam-5595	219	6	,	,	PUNCT
ejpam-5595	219	7	18	18	NUM
ejpam-5595	219	8	(	(	PUNCT
ejpam-5595	219	9	1	1	NUM
ejpam-5595	219	10	)	)	PUNCT
ejpam-5595	219	11	(	(	PUNCT
ejpam-5595	219	12	2025	2025	NUM
ejpam-5595	219	13	)	)	PUNCT
ejpam-5595	219	14	,	,	PUNCT
ejpam-5595	219	15	5595	5595	NUM
ejpam-5595	219	16	11	11	NUM
ejpam-5595	219	17	of	of	ADP
ejpam-5595	219	18	20	20	NUM
ejpam-5595	219	19	−	−	PROPN
ejpam-5595	219	20	k	k	PROPN
ejpam-5595	220	1	(	(	PUNCT
ejpam-5595	220	2	1−	1−	NUM
ejpam-5595	220	3	k2	k2	NOUN
ejpam-5595	220	4	)	)	PUNCT
ejpam-5595	220	5	(	(	PUNCT
ejpam-5595	220	6	we	we	PRON
ejpam-5595	220	7	)	)	PUNCT
ejpam-5595	221	1	+	+	CCONJ
ejpam-5595	221	2	k2e2	k2e2	PROPN
ejpam-5595	221	3	0	0	PUNCT
ejpam-5595	222	1	(	(	PUNCT
ejpam-5595	222	2	ϵ2	ϵ2	ADJ
ejpam-5595	222	3	−	−	PROPN
ejpam-5595	222	4	ϵ1	ϵ1	ADJ
ejpam-5595	222	5	)	)	PUNCT
ejpam-5595	223	1	2k0(k)i0(k	2k0(k)i0(k	NUM
ejpam-5595	223	2	)	)	PUNCT
ejpam-5595	224	1	[	[	X
ejpam-5595	224	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	224	3	)	)	PUNCT
ejpam-5595	224	4	+	+	CCONJ
ejpam-5595	224	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	224	6	)	)	PUNCT
ejpam-5595	224	7	]	]	PUNCT
ejpam-5595	224	8	}	}	PUNCT
ejpam-5595	224	9	.	.	PUNCT
ejpam-5595	225	1	(	(	PUNCT
ejpam-5595	225	2	45	45	NUM
ejpam-5595	225	3	)	)	PUNCT
ejpam-5595	225	4	the	the	DET
ejpam-5595	225	5	analytical	analytical	ADJ
ejpam-5595	225	6	solution	solution	NOUN
ejpam-5595	225	7	of	of	ADP
ejpam-5595	225	8	the	the	DET
ejpam-5595	225	9	second	second	ADJ
ejpam-5595	225	10	-	-	PUNCT
ejpam-5595	225	11	order	order	NOUN
ejpam-5595	225	12	equation	equation	NOUN
ejpam-5595	225	13	(	(	PUNCT
ejpam-5595	225	14	42	42	NUM
ejpam-5595	225	15	)	)	PUNCT
ejpam-5595	225	16	with	with	ADP
ejpam-5595	225	17	complex	complex	ADJ
ejpam-5595	225	18	coefficients	coefficient	NOUN
ejpam-5595	225	19	is	be	AUX
ejpam-5595	225	20	:	:	PUNCT
ejpam-5595	225	21	ω	ω	NUM
ejpam-5595	225	22	=	=	PUNCT
ejpam-5595	225	23	−b2	−b2	PROPN
ejpam-5595	225	24	+	+	CCONJ
ejpam-5595	225	25	√	√	ADP
ejpam-5595	225	26	b2	b2	NOUN
ejpam-5595	225	27	2	2	NUM
ejpam-5595	225	28	−	−	PROPN
ejpam-5595	225	29	4b1b3	4b1b3	NUM
ejpam-5595	225	30	2b1	2b1	NUM
ejpam-5595	226	1	=	=	SYM
ejpam-5595	226	2	−b2	−b2	PROPN
ejpam-5595	226	3	+	+	CCONJ
ejpam-5595	226	4	√	√	NOUN
ejpam-5595	226	5	b1	b1	NOUN
ejpam-5595	226	6	+	+	CCONJ
ejpam-5595	226	7	ib2	ib2	NOUN
ejpam-5595	226	8	2b1	2b1	NUM
ejpam-5595	226	9	,	,	PUNCT
ejpam-5595	226	10	(	(	PUNCT
ejpam-5595	226	11	46	46	NUM
ejpam-5595	226	12	)	)	PUNCT
ejpam-5595	226	13	in	in	ADP
ejpam-5595	226	14	which	which	PRON
ejpam-5595	226	15	b1	b1	NOUN
ejpam-5595	226	16	=	=	SYM
ejpam-5595	226	17	(	(	PUNCT
ejpam-5595	226	18	we	we	PRON
ejpam-5595	226	19	)	)	PUNCT
ejpam-5595	226	20	{	{	PUNCT
ejpam-5595	226	21	m2	m2	PROPN
ejpam-5595	226	22	k21	k21	PROPN
ejpam-5595	226	23	(	(	PUNCT
ejpam-5595	226	24	ν1	ν1	PROPN
ejpam-5595	226	25	i0(k	i0(k	NOUN
ejpam-5595	226	26	)	)	PUNCT
ejpam-5595	226	27	i1(k	i1(k	NOUN
ejpam-5595	226	28	)	)	PUNCT
ejpam-5595	226	29	+	+	NUM
ejpam-5595	226	30	ρν2	ρν2	NUM
ejpam-5595	226	31	k0(k	k0(k	X
ejpam-5595	226	32	)	)	PUNCT
ejpam-5595	226	33	k1(k	k1(k	PROPN
ejpam-5595	226	34	)	)	PUNCT
ejpam-5595	226	35	)	)	PUNCT
ejpam-5595	226	36	2	2	NUM
ejpam-5595	226	37	−	−	NOUN
ejpam-5595	226	38	1	1	NUM
ejpam-5595	226	39	(	(	PUNCT
ejpam-5595	226	40	1−	1−	NUM
ejpam-5595	226	41	b⧸2)2	b⧸2)2	NOUN
ejpam-5595	226	42	(	(	PUNCT
ejpam-5595	226	43	(	(	PUNCT
ejpam-5595	226	44	1−	1−	NUM
ejpam-5595	226	45	b	b	NOUN
ejpam-5595	226	46	)	)	PUNCT
ejpam-5595	226	47	(	(	PUNCT
ejpam-5595	226	48	2k	2k	NUM
ejpam-5595	226	49	m	m	VERB
ejpam-5595	226	50	−	−	NOUN
ejpam-5595	226	51	kλ1	kλ1	INTJ
ejpam-5595	226	52	k1	k1	NOUN
ejpam-5595	226	53	)	)	PUNCT
ejpam-5595	227	1	i0(k	i0(k	NOUN
ejpam-5595	227	2	)	)	PUNCT
ejpam-5595	227	3	i1(k	i1(k	NOUN
ejpam-5595	227	4	)	)	PUNCT
ejpam-5595	228	1	+	+	NUM
ejpam-5595	228	2	2b	2b	NUM
ejpam-5595	228	3	m	m	NOUN
ejpam-5595	228	4	)	)	PUNCT
ejpam-5595	228	5	2	2	NUM
ejpam-5595	229	1	+4	+4	PROPN
ejpam-5595	230	1	[	[	X
ejpam-5595	230	2	(	(	PUNCT
ejpam-5595	230	3	1−	1−	NUM
ejpam-5595	230	4	mλ1	mλ1	NOUN
ejpam-5595	230	5	k1	k1	X
ejpam-5595	230	6	)	)	PUNCT
ejpam-5595	230	7	i0(k	i0(k	NOUN
ejpam-5595	230	8	)	)	PUNCT
ejpam-5595	230	9	i1(k	i1(k	NOUN
ejpam-5595	230	10	)	)	PUNCT
ejpam-5595	230	11	+	+	NUM
ejpam-5595	230	12	ρ	ρ	PROPN
ejpam-5595	230	13	(	(	PUNCT
ejpam-5595	230	14	1−	1−	NUM
ejpam-5595	230	15	mλ2	mλ2	NOUN
ejpam-5595	230	16	k1	k1	NOUN
ejpam-5595	230	17	)	)	PUNCT
ejpam-5595	230	18	k0(k	k0(k	PROPN
ejpam-5595	230	19	)	)	PUNCT
ejpam-5595	230	20	k1(k	k1(k	PROPN
ejpam-5595	230	21	)	)	PUNCT
ejpam-5595	230	22	]	]	PUNCT
ejpam-5595	231	1	×	×	PROPN
ejpam-5595	231	2	[	[	PUNCT
ejpam-5595	231	3	k	k	X
ejpam-5595	231	4	(	(	PUNCT
ejpam-5595	231	5	1−	1−	NUM
ejpam-5595	231	6	k2	k2	NOUN
ejpam-5595	231	7	)	)	PUNCT
ejpam-5595	231	8	(	(	PUNCT
ejpam-5595	231	9	we	we	PRON
ejpam-5595	231	10	)	)	PUNCT
ejpam-5595	231	11	+	+	CCONJ
ejpam-5595	231	12	2	2	NUM
ejpam-5595	231	13	kb	kb	X
ejpam-5595	231	14	(	(	PUNCT
ejpam-5595	231	15	1−	1−	NUM
ejpam-5595	231	16	b	b	NOUN
ejpam-5595	231	17	)	)	PUNCT
ejpam-5595	231	18	m2	m2	PROPN
ejpam-5595	231	19	(	(	PUNCT
ejpam-5595	231	20	1−	1−	NUM
ejpam-5595	231	21	b⧸2)2	b⧸2)2	NOUN
ejpam-5595	231	22	−	−	PROPN
ejpam-5595	231	23	k2e2	k2e2	PROPN
ejpam-5595	231	24	0	0	NUM
ejpam-5595	232	1	(	(	PUNCT
ejpam-5595	232	2	ϵ2	ϵ2	ADJ
ejpam-5595	232	3	−	−	PROPN
ejpam-5595	232	4	ϵ1	ϵ1	ADJ
ejpam-5595	232	5	)	)	PUNCT
ejpam-5595	233	1	2k0(k)i0(k	2k0(k)i0(k	NUM
ejpam-5595	233	2	)	)	PUNCT
ejpam-5595	234	1	[	[	X
ejpam-5595	234	2	ϵ1i1(k)k0(k	ϵ1i1(k)k0(k	X
ejpam-5595	234	3	)	)	PUNCT
ejpam-5595	234	4	+	+	CCONJ
ejpam-5595	234	5	ϵ2i0(k)k1(k	ϵ2i0(k)k1(k	NOUN
ejpam-5595	234	6	)	)	PUNCT
ejpam-5595	234	7	]	]	PUNCT
ejpam-5595	235	1	+	+	CCONJ
ejpam-5595	235	2	k2	k2	X
ejpam-5595	235	3	(	(	PUNCT
ejpam-5595	235	4	1−	1−	NUM
ejpam-5595	235	5	b)2	b)2	PROPN
ejpam-5595	235	6	m2	m2	PROPN
ejpam-5595	235	7	(	(	PUNCT
ejpam-5595	235	8	1−	1−	NUM
ejpam-5595	235	9	b⧸2)2	b⧸2)2	NOUN
ejpam-5595	235	10	i0(k	i0(k	NOUN
ejpam-5595	235	11	)	)	PUNCT
ejpam-5595	235	12	i1(k	i1(k	NOUN
ejpam-5595	235	13	)	)	PUNCT
ejpam-5595	235	14	]	]	PUNCT
ejpam-5595	235	15	}	}	PUNCT
ejpam-5595	235	16	,	,	PUNCT
ejpam-5595	235	17	(	(	PUNCT
ejpam-5595	235	18	47	47	NUM
ejpam-5595	235	19	)	)	PUNCT
ejpam-5595	235	20	b2	b2	NOUN
ejpam-5595	235	21	=	=	SYM
ejpam-5595	235	22	(	(	PUNCT
ejpam-5595	235	23	we	we	PRON
ejpam-5595	235	24	)	)	PUNCT
ejpam-5595	235	25	(	(	PUNCT
ejpam-5595	235	26	1−	1−	NUM
ejpam-5595	235	27	b⧸2	b⧸2	NOUN
ejpam-5595	235	28	)	)	PUNCT
ejpam-5595	235	29	{	{	PUNCT
ejpam-5595	235	30	2	2	NUM
ejpam-5595	235	31	m	m	NOUN
ejpam-5595	235	32	k1	k1	NOUN
ejpam-5595	235	33	(	(	PUNCT
ejpam-5595	235	34	ν1	ν1	PROPN
ejpam-5595	235	35	i0(k	i0(k	NOUN
ejpam-5595	235	36	)	)	PUNCT
ejpam-5595	235	37	i1(k	i1(k	NOUN
ejpam-5595	235	38	)	)	PUNCT
ejpam-5595	235	39	+	+	NUM
ejpam-5595	235	40	ρν2	ρν2	NUM
ejpam-5595	235	41	k0(k	k0(k	X
ejpam-5595	235	42	)	)	PUNCT
ejpam-5595	235	43	k1(k	k1(k	PROPN
ejpam-5595	235	44	)	)	PUNCT
ejpam-5595	235	45	)	)	PUNCT
ejpam-5595	235	46	×	×	NOUN
ejpam-5595	235	47	[	[	PUNCT
ejpam-5595	235	48	(	(	PUNCT
ejpam-5595	235	49	1−	1−	NUM
ejpam-5595	235	50	b	b	NOUN
ejpam-5595	235	51	)	)	PUNCT
ejpam-5595	235	52	i0(k	i0(k	NOUN
ejpam-5595	235	53	)	)	PUNCT
ejpam-5595	235	54	i1(k	i1(k	NOUN
ejpam-5595	235	55	)	)	PUNCT
ejpam-5595	235	56	(	(	PUNCT
ejpam-5595	235	57	2k	2k	NUM
ejpam-5595	235	58	m	m	VERB
ejpam-5595	235	59	−	−	NOUN
ejpam-5595	235	60	kλ1	kλ1	INTJ
ejpam-5595	235	61	k1	k1	NOUN
ejpam-5595	235	62	)	)	PUNCT
ejpam-5595	235	63	+	+	NUM
ejpam-5595	235	64	2b	2b	NUM
ejpam-5595	235	65	m	m	VERB
ejpam-5595	235	66	]	]	PUNCT
ejpam-5595	235	67	−	−	PROPN
ejpam-5595	235	68	4kν1	4kν1	NUM
ejpam-5595	235	69	k1	k1	NOUN
ejpam-5595	235	70	(	(	PUNCT
ejpam-5595	235	71	1−	1−	NUM
ejpam-5595	235	72	b	b	NOUN
ejpam-5595	235	73	)	)	PUNCT
ejpam-5595	235	74	i0(k	i0(k	NOUN
ejpam-5595	235	75	)	)	PUNCT
ejpam-5595	235	76	i1(k	i1(k	NOUN
ejpam-5595	235	77	)	)	PUNCT
ejpam-5595	236	1	[	[	X
ejpam-5595	236	2	(	(	PUNCT
ejpam-5595	236	3	1−	1−	NUM
ejpam-5595	236	4	mλ1	mλ1	NOUN
ejpam-5595	236	5	k1	k1	X
ejpam-5595	236	6	)	)	PUNCT
ejpam-5595	237	1	i0(k	i0(k	NOUN
ejpam-5595	237	2	)	)	PUNCT
ejpam-5595	237	3	i1(k	i1(k	NOUN
ejpam-5595	237	4	)	)	PUNCT
ejpam-5595	237	5	+	+	NUM
ejpam-5595	237	6	ρ	ρ	PROPN
ejpam-5595	237	7	(	(	PUNCT
ejpam-5595	237	8	1−	1−	NUM
ejpam-5595	237	9	mλ2	mλ2	NOUN
ejpam-5595	237	10	k1	k1	NOUN
ejpam-5595	237	11	)	)	PUNCT
ejpam-5595	237	12	k0(k	k0(k	PROPN
ejpam-5595	237	13	)	)	PUNCT
ejpam-5595	237	14	k1(k	k1(k	PROPN
ejpam-5595	237	15	)	)	PUNCT
ejpam-5595	237	16	]	]	PUNCT
ejpam-5595	237	17	}	}	PUNCT
ejpam-5595	237	18	.	.	PUNCT
ejpam-5595	238	1	(	(	PUNCT
ejpam-5595	238	2	48	48	NUM
ejpam-5595	238	3	)	)	PUNCT
ejpam-5595	238	4	hence	hence	ADV
ejpam-5595	238	5	,	,	PUNCT
ejpam-5595	238	6	the	the	DET
ejpam-5595	238	7	growth	growth	NOUN
ejpam-5595	238	8	rate	rate	NOUN
ejpam-5595	238	9	’s	’s	PART
ejpam-5595	238	10	real	real	ADJ
ejpam-5595	238	11	component	component	NOUN
ejpam-5595	238	12	is	be	AUX
ejpam-5595	238	13	written	write	VERB
ejpam-5595	238	14	as	as	ADP
ejpam-5595	238	15	[	[	X
ejpam-5595	238	16	6	6	NUM
ejpam-5595	238	17	,	,	PUNCT
ejpam-5595	238	18	32	32	NUM
ejpam-5595	238	19	]	]	PUNCT
ejpam-5595	238	20	:	:	PUNCT
ejpam-5595	238	21	ωr	ωr	ADP
ejpam-5595	238	22	=	=	SYM
ejpam-5595	238	23	1	1	NUM
ejpam-5595	238	24	2	2	NUM
ejpam-5595	238	25	[	[	X
ejpam-5595	238	26	(	(	PUNCT
ejpam-5595	238	27	1−	1−	NUM
ejpam-5595	238	28	mλ1	mλ1	NOUN
ejpam-5595	238	29	k1	k1	X
ejpam-5595	238	30	)	)	PUNCT
ejpam-5595	238	31	i0(k	i0(k	NOUN
ejpam-5595	238	32	)	)	PUNCT
ejpam-5595	238	33	i1(k	i1(k	NOUN
ejpam-5595	238	34	)	)	PUNCT
ejpam-5595	238	35	+	+	NUM
ejpam-5595	238	36	ρ	ρ	PROPN
ejpam-5595	238	37	(	(	PUNCT
ejpam-5595	238	38	1−	1−	NUM
ejpam-5595	238	39	mλ2	mλ2	NOUN
ejpam-5595	238	40	k1	k1	NOUN
ejpam-5595	238	41	)	)	PUNCT
ejpam-5595	238	42	k0(k	k0(k	PROPN
ejpam-5595	238	43	)	)	PUNCT
ejpam-5595	238	44	k1(k	k1(k	PROPN
ejpam-5595	238	45	)	)	PUNCT
ejpam-5595	238	46	]	]	SYM
ejpam-5595	238	47	−1	−1	NOUN
ejpam-5595	238	48			PUNCT
ejpam-5595	238	49	√	√	PROPN
ejpam-5595	238	50	b1	b1	NOUN
ejpam-5595	238	51	+	+	CCONJ
ejpam-5595	238	52	√	√	PROPN
ejpam-5595	238	53	b21	b21	PROPN
ejpam-5595	238	54	+	+	CCONJ
ejpam-5595	238	55	b22	b22	PROPN
ejpam-5595	238	56	2	2	NUM
ejpam-5595	238	57	−	−	NOUN
ejpam-5595	238	58	m	m	VERB
ejpam-5595	238	59	√	√	ADJ
ejpam-5595	239	1	we	we	PRON
ejpam-5595	239	2	k1	k1	PROPN
ejpam-5595	239	3	(	(	PUNCT
ejpam-5595	239	4	ν1	ν1	PROPN
ejpam-5595	239	5	i0(k	i0(k	NOUN
ejpam-5595	239	6	)	)	PUNCT
ejpam-5595	239	7	i1(k	i1(k	NOUN
ejpam-5595	239	8	)	)	PUNCT
ejpam-5595	239	9	+	+	NUM
ejpam-5595	239	10	ρν2	ρν2	NUM
ejpam-5595	239	11	k0(k	k0(k	X
ejpam-5595	239	12	)	)	PUNCT
ejpam-5595	239	13	k1(k	k1(k	PROPN
ejpam-5595	239	14	)	)	PUNCT
ejpam-5595	239	15	)	)	PUNCT
ejpam-5595	239	16	}	}	PUNCT
ejpam-5595	239	17	.	.	PUNCT
ejpam-5595	240	1	(	(	PUNCT
ejpam-5595	240	2	49	49	X
ejpam-5595	240	3	)	)	PUNCT
ejpam-5595	240	4	m.	m.	NOUN
ejpam-5595	240	5	f.	f.	PROPN
ejpam-5595	240	6	el	el	PROPN
ejpam-5595	240	7	-	-	PUNCT
ejpam-5595	240	8	sayed	sayed	PROPN
ejpam-5595	240	9	,	,	PUNCT
ejpam-5595	240	10	d.	d.	PROPN
ejpam-5595	240	11	m.	m.	PROPN
ejpam-5595	240	12	mostafa	mostafa	PROPN
ejpam-5595	240	13	,	,	PUNCT
ejpam-5595	240	14	a.	a.	PROPN
ejpam-5595	240	15	m.	m.	PROPN
ejpam-5595	240	16	f.	f.	PROPN
ejpam-5595	240	17	alrashdi	alrashdi	PROPN
ejpam-5595	240	18	/	/	SYM
ejpam-5595	240	19	eur	eur	PROPN
ejpam-5595	240	20	.	.	PUNCT
ejpam-5595	241	1	j.	j.	PROPN
ejpam-5595	241	2	pure	pure	PROPN
ejpam-5595	241	3	appl	appl	PROPN
ejpam-5595	241	4	.	.	PROPN
ejpam-5595	241	5	math	math	PROPN
ejpam-5595	241	6	,	,	PUNCT
ejpam-5595	241	7	18	18	NUM
ejpam-5595	241	8	(	(	PUNCT
ejpam-5595	241	9	1	1	NUM
ejpam-5595	241	10	)	)	PUNCT
ejpam-5595	241	11	(	(	PUNCT
ejpam-5595	241	12	2025	2025	NUM
ejpam-5595	241	13	)	)	PUNCT
ejpam-5595	241	14	,	,	PUNCT
ejpam-5595	241	15	5595	5595	NUM
ejpam-5595	241	16	12	12	NUM
ejpam-5595	241	17	of	of	ADP
ejpam-5595	241	18	20	20	NUM
ejpam-5595	241	19	6	6	NUM
ejpam-5595	241	20	.	.	PUNCT
ejpam-5595	242	1	stability	stability	NOUN
ejpam-5595	242	2	discussion	discussion	NOUN
ejpam-5595	242	3	only	only	ADV
ejpam-5595	242	4	temporal	temporal	ADJ
ejpam-5595	242	5	instability	instability	NOUN
ejpam-5595	242	6	is	be	AUX
ejpam-5595	242	7	taken	take	VERB
ejpam-5595	242	8	into	into	ADP
ejpam-5595	242	9	account	account	NOUN
ejpam-5595	242	10	here	here	ADV
ejpam-5595	242	11	because	because	SCONJ
ejpam-5595	242	12	,	,	PUNCT
ejpam-5595	242	13	in	in	ADP
ejpam-5595	242	14	the	the	DET
ejpam-5595	242	15	atomization	atomization	NOUN
ejpam-5595	242	16	regime	regime	NOUN
ejpam-5595	242	17	,	,	PUNCT
ejpam-5595	242	18	the	the	DET
ejpam-5595	242	19	weber	weber	PROPN
ejpam-5595	242	20	number	number	NOUN
ejpam-5595	242	21	is	be	AUX
ejpam-5595	242	22	large	large	ADJ
ejpam-5595	242	23	,	,	PUNCT
ejpam-5595	242	24	meaning	mean	VERB
ejpam-5595	242	25	that	that	SCONJ
ejpam-5595	242	26	both	both	CCONJ
ejpam-5595	242	27	temporal	temporal	ADJ
ejpam-5595	242	28	and	and	CCONJ
ejpam-5595	242	29	spatial	spatial	ADJ
ejpam-5595	242	30	instability	instability	NOUN
ejpam-5595	242	31	produce	produce	VERB
ejpam-5595	242	32	roughly	roughly	ADV
ejpam-5595	242	33	the	the	DET
ejpam-5595	242	34	same	same	ADJ
ejpam-5595	242	35	results	result	NOUN
ejpam-5595	242	36	[	[	X
ejpam-5595	242	37	12	12	NUM
ejpam-5595	242	38	]	]	PUNCT
ejpam-5595	242	39	.	.	PUNCT
ejpam-5595	243	1	it	it	PRON
ejpam-5595	243	2	’s	’	VERB
ejpam-5595	243	3	also	also	ADV
ejpam-5595	243	4	interesting	interesting	ADJ
ejpam-5595	243	5	to	to	PART
ejpam-5595	243	6	compare	compare	VERB
ejpam-5595	243	7	the	the	DET
ejpam-5595	243	8	results	result	NOUN
ejpam-5595	243	9	obtained	obtain	VERB
ejpam-5595	243	10	in	in	ADP
ejpam-5595	243	11	this	this	DET
ejpam-5595	243	12	regime	regime	NOUN
ejpam-5595	243	13	with	with	ADP
ejpam-5595	243	14	those	those	PRON
ejpam-5595	243	15	obtained	obtain	VERB
ejpam-5595	243	16	in	in	ADP
ejpam-5595	243	17	the	the	DET
ejpam-5595	243	18	corresponding	corresponding	ADJ
ejpam-5595	243	19	rayleigh	rayleigh	PROPN
ejpam-5595	243	20	regime	regime	NOUN
ejpam-5595	243	21	,	,	PUNCT
ejpam-5595	243	22	where	where	SCONJ
ejpam-5595	243	23	the	the	DET
ejpam-5595	243	24	weber	weber	PROPN
ejpam-5595	243	25	number	number	NOUN
ejpam-5595	243	26	is	be	AUX
ejpam-5595	243	27	small	small	ADJ
ejpam-5595	243	28	,	,	PUNCT
ejpam-5595	243	29	as	as	SCONJ
ejpam-5595	243	30	shown	show	VERB
ejpam-5595	243	31	in	in	ADP
ejpam-5595	243	32	the	the	DET
ejpam-5595	243	33	following	follow	VERB
ejpam-5595	243	34	figures.to	figures.to	PRON
ejpam-5595	243	35	investigate	investigate	VERB
ejpam-5595	243	36	the	the	DET
ejpam-5595	243	37	impact	impact	NOUN
ejpam-5595	243	38	of	of	ADP
ejpam-5595	243	39	every	every	DET
ejpam-5595	243	40	parameter	parameter	NOUN
ejpam-5595	243	41	on	on	ADP
ejpam-5595	243	42	the	the	DET
ejpam-5595	243	43	system	system	NOUN
ejpam-5595	243	44	’s	’s	PART
ejpam-5595	243	45	stability	stability	NOUN
ejpam-5595	243	46	,	,	PUNCT
ejpam-5595	243	47	use	use	VERB
ejpam-5595	243	48	mathematica	mathematica	PROPN
ejpam-5595	243	49	software	software	PROPN
ejpam-5595	243	50	(	(	PUNCT
ejpam-5595	243	51	version	version	NOUN
ejpam-5595	243	52	12.1	12.1	NUM
ejpam-5595	243	53	)	)	PUNCT
ejpam-5595	243	54	to	to	PART
ejpam-5595	243	55	plot	plot	VERB
ejpam-5595	243	56	the	the	DET
ejpam-5595	243	57	growth	growth	NOUN
ejpam-5595	243	58	rate	rate	NOUN
ejpam-5595	243	59	variation	variation	NOUN
ejpam-5595	243	60	ωr	ωr	VERB
ejpam-5595	243	61	with	with	ADP
ejpam-5595	243	62	wave	wave	NOUN
ejpam-5595	243	63	number	number	NOUN
ejpam-5595	243	64	k.	k.	PROPN
ejpam-5595	244	1	a	a	DET
ejpam-5595	244	2	viscoelastic	viscoelastic	ADJ
ejpam-5595	244	3	jet	jet	NOUN
ejpam-5595	244	4	is	be	AUX
ejpam-5595	244	5	stable	stable	ADJ
ejpam-5595	244	6	if	if	SCONJ
ejpam-5595	244	7	ωr	ωr	ADJ
ejpam-5595	244	8	<	<	X
ejpam-5595	244	9	0	0	NUM
ejpam-5595	244	10	,	,	PUNCT
ejpam-5595	244	11	unstable	unstable	ADJ
ejpam-5595	244	12	if	if	SCONJ
ejpam-5595	244	13	ωr	ωr	ADP
ejpam-5595	244	14	>	>	X
ejpam-5595	244	15	0	0	NUM
ejpam-5595	244	16	,	,	PUNCT
ejpam-5595	244	17	and	and	CCONJ
ejpam-5595	244	18	neutrally	neutrally	ADV
ejpam-5595	244	19	stable	stable	ADJ
ejpam-5595	244	20	if	if	SCONJ
ejpam-5595	244	21	ωr	ωr	ADV
ejpam-5595	244	22	=	=	SYM
ejpam-5595	244	23	0	0	NUM
ejpam-5595	244	24	,	,	PUNCT
ejpam-5595	244	25	according	accord	VERB
ejpam-5595	244	26	to	to	ADP
ejpam-5595	244	27	the	the	DET
ejpam-5595	244	28	temporal	temporal	ADJ
ejpam-5595	244	29	stability	stability	NOUN
ejpam-5595	244	30	analysis	analysis	NOUN
ejpam-5595	244	31	that	that	PRON
ejpam-5595	244	32	is	be	AUX
ejpam-5595	244	33	considered	consider	VERB
ejpam-5595	244	34	here	here	ADV
ejpam-5595	244	35	.	.	PUNCT
ejpam-5595	245	1	we	we	PRON
ejpam-5595	245	2	will	will	AUX
ejpam-5595	245	3	be	be	AUX
ejpam-5595	245	4	examining	examine	VERB
ejpam-5595	245	5	the	the	DET
ejpam-5595	245	6	growth	growth	NOUN
ejpam-5595	245	7	of	of	ADP
ejpam-5595	245	8	instabilities	instability	NOUN
ejpam-5595	245	9	that	that	PRON
ejpam-5595	245	10	occur	occur	VERB
ejpam-5595	245	11	in	in	ADP
ejpam-5595	245	12	the	the	DET
ejpam-5595	245	13	rayleigh	rayleigh	PROPN
ejpam-5595	245	14	and	and	CCONJ
ejpam-5595	245	15	atomization	atomization	NOUN
ejpam-5595	245	16	modes	mode	NOUN
ejpam-5595	245	17	.	.	PUNCT
ejpam-5595	246	1	in	in	ADP
ejpam-5595	246	2	the	the	DET
ejpam-5595	246	3	instability	instability	NOUN
ejpam-5595	246	4	mode	mode	NOUN
ejpam-5595	246	5	of	of	ADP
ejpam-5595	246	6	the	the	DET
ejpam-5595	246	7	rayleigh	rayleigh	PROPN
ejpam-5595	246	8	regime	regime	NOUN
ejpam-5595	246	9	,	,	PUNCT
ejpam-5595	246	10	the	the	DET
ejpam-5595	246	11	waves	wave	NOUN
ejpam-5595	246	12	are	be	AUX
ejpam-5595	246	13	relatively	relatively	ADV
ejpam-5595	246	14	long	long	ADJ
ejpam-5595	246	15	,	,	PUNCT
ejpam-5595	246	16	and	and	CCONJ
ejpam-5595	246	17	ρwe	ρwe	VERB
ejpam-5595	246	18	<	<	X
ejpam-5595	246	19	1	1	NUM
ejpam-5595	246	20	.	.	PUNCT
ejpam-5595	247	1	conversely	conversely	ADV
ejpam-5595	247	2	,	,	PUNCT
ejpam-5595	247	3	in	in	ADP
ejpam-5595	247	4	the	the	DET
ejpam-5595	247	5	instability	instability	NOUN
ejpam-5595	247	6	mode	mode	NOUN
ejpam-5595	247	7	of	of	ADP
ejpam-5595	247	8	the	the	DET
ejpam-5595	247	9	atomization	atomization	NOUN
ejpam-5595	247	10	regime	regime	NOUN
ejpam-5595	247	11	,	,	PUNCT
ejpam-5595	247	12	at	at	ADP
ejpam-5595	247	13	the	the	DET
ejpam-5595	247	14	interface	interface	NOUN
ejpam-5595	247	15	,	,	PUNCT
ejpam-5595	247	16	the	the	DET
ejpam-5595	247	17	waves	wave	NOUN
ejpam-5595	247	18	are	be	AUX
ejpam-5595	247	19	shorter	short	ADJ
ejpam-5595	247	20	,	,	PUNCT
ejpam-5595	247	21	and	and	CCONJ
ejpam-5595	247	22	ρwe	ρwe	VERB
ejpam-5595	247	23	>	>	X
ejpam-5595	247	24	1	1	X
ejpam-5595	247	25	.	.	PUNCT
ejpam-5595	248	1	the	the	DET
ejpam-5595	248	2	dominant	dominant	ADJ
ejpam-5595	248	3	wave	wave	NOUN
ejpam-5595	248	4	number	number	NOUN
ejpam-5595	248	5	is	be	AUX
ejpam-5595	248	6	the	the	DET
ejpam-5595	248	7	wave	wave	NOUN
ejpam-5595	248	8	number	number	NOUN
ejpam-5595	248	9	that	that	PRON
ejpam-5595	248	10	reflects	reflect	VERB
ejpam-5595	248	11	the	the	DET
ejpam-5595	248	12	highest	high	ADJ
ejpam-5595	248	13	growth	growth	NOUN
ejpam-5595	248	14	rate	rate	NOUN
ejpam-5595	248	15	.	.	PUNCT
ejpam-5595	249	1	the	the	DET
ejpam-5595	249	2	following	follow	VERB
ejpam-5595	249	3	values	value	NOUN
ejpam-5595	249	4	of	of	ADP
ejpam-5595	249	5	the	the	DET
ejpam-5595	249	6	parameters	parameter	NOUN
ejpam-5595	249	7	have	have	AUX
ejpam-5595	249	8	been	be	AUX
ejpam-5595	249	9	taken	take	VERB
ejpam-5595	249	10	into	into	ADP
ejpam-5595	249	11	consideration	consideration	NOUN
ejpam-5595	249	12	when	when	SCONJ
ejpam-5595	249	13	drawing	draw	VERB
ejpam-5595	249	14	the	the	DET
ejpam-5595	249	15	curves	curve	NOUN
ejpam-5595	249	16	of	of	ADP
ejpam-5595	249	17	the	the	DET
ejpam-5595	249	18	figures	figure	NOUN
ejpam-5595	249	19	:	:	PUNCT
ejpam-5595	249	20	b	b	X
ejpam-5595	249	21	=	=	SYM
ejpam-5595	249	22	0.7	0.7	NUM
ejpam-5595	249	23	,	,	PUNCT
ejpam-5595	249	24	m	m	VERB
ejpam-5595	249	25	=	=	NOUN
ejpam-5595	249	26	0.3	0.3	NUM
ejpam-5595	249	27	,	,	PUNCT
ejpam-5595	249	28	k1	k1	NOUN
ejpam-5595	249	29	=	=	SYM
ejpam-5595	249	30	2	2	NUM
ejpam-5595	249	31	,	,	PUNCT
ejpam-5595	249	32	ν(1	ν(1	PROPN
ejpam-5595	249	33	)	)	PUNCT
ejpam-5595	249	34	=	=	NOUN
ejpam-5595	249	35	0.5	0.5	NUM
ejpam-5595	249	36	,	,	PUNCT
ejpam-5595	249	37	ν(2	ν(2	NOUN
ejpam-5595	249	38	)	)	PUNCT
ejpam-5595	249	39	=	=	PUNCT
ejpam-5595	249	40	0.3	0.3	NUM
ejpam-5595	249	41	,	,	PUNCT
ejpam-5595	249	42	λ1	λ1	PROPN
ejpam-5595	249	43	=	=	SYM
ejpam-5595	249	44	0.02	0.02	NUM
ejpam-5595	249	45	,	,	PUNCT
ejpam-5595	249	46	λ2	λ2	NOUN
ejpam-5595	249	47	=	=	SYM
ejpam-5595	249	48	0.002	0.002	NUM
ejpam-5595	249	49	,	,	PUNCT
ejpam-5595	249	50	ϵ1	ϵ1	NOUN
ejpam-5595	249	51	=	=	PROPN
ejpam-5595	249	52	0.4	0.4	NUM
ejpam-5595	249	53	,	,	PUNCT
ejpam-5595	249	54	ϵ2	ϵ2	NOUN
ejpam-5595	249	55	=	=	NUM
ejpam-5595	249	56	0.2	0.2	NUM
ejpam-5595	249	57	,	,	PUNCT
ejpam-5595	249	58	ρ	ρ	PROPN
ejpam-5595	249	59	=	=	SYM
ejpam-5595	249	60	0.02	0.02	NUM
ejpam-5595	249	61	,	,	PUNCT
ejpam-5595	249	62	e0	e0	PROPN
ejpam-5595	249	63	=	=	PROPN
ejpam-5595	249	64	0.4	0.4	NUM
ejpam-5595	249	65	,	,	PUNCT
ejpam-5595	249	66	we	we	PRON
ejpam-5595	249	67	=	=	SYM
ejpam-5595	249	68	10000	10000	NUM
ejpam-5595	249	69	(	(	PUNCT
ejpam-5595	249	70	in	in	ADP
ejpam-5595	249	71	the	the	DET
ejpam-5595	249	72	atomization	atomization	NOUN
ejpam-5595	249	73	mode	mode	NOUN
ejpam-5595	249	74	)	)	PUNCT
ejpam-5595	249	75	,	,	PUNCT
ejpam-5595	249	76	and	and	CCONJ
ejpam-5595	249	77	we	we	PRON
ejpam-5595	249	78	=	=	VERB
ejpam-5595	249	79	10	10	NUM
ejpam-5595	249	80	(	(	PUNCT
ejpam-5595	249	81	in	in	ADP
ejpam-5595	249	82	the	the	DET
ejpam-5595	249	83	rayleigh	rayleigh	PROPN
ejpam-5595	249	84	mode	mode	PROPN
ejpam-5595	249	85	)	)	PUNCT
ejpam-5595	249	86	.	.	PUNCT
ejpam-5595	250	1	figure	figure	NOUN
ejpam-5595	250	2	2	2	NUM
ejpam-5595	250	3	:	:	PUNCT
ejpam-5595	250	4	displays	display	VERB
ejpam-5595	250	5	the	the	DET
ejpam-5595	250	6	impact	impact	NOUN
ejpam-5595	250	7	of	of	ADP
ejpam-5595	250	8	viscoelastic	viscoelastic	ADJ
ejpam-5595	250	9	parameters	parameter	NOUN
ejpam-5595	250	10	λ1	λ1	ADJ
ejpam-5595	250	11	and	and	CCONJ
ejpam-5595	250	12	λ2	λ2	PROPN
ejpam-5595	250	13	in	in	ADP
ejpam-5595	250	14	rayleigh	rayleigh	PROPN
ejpam-5595	250	15	and	and	CCONJ
ejpam-5595	250	16	atomization	atomization	NOUN
ejpam-5595	250	17	modes	mode	NOUN
ejpam-5595	250	18	..	..	PUNCT
ejpam-5595	250	19	figures	figure	NOUN
ejpam-5595	250	20	2(a	2(a	NUM
ejpam-5595	250	21	)	)	PUNCT
ejpam-5595	250	22	and	and	CCONJ
ejpam-5595	250	23	2(b	2(b	NUM
ejpam-5595	250	24	)	)	PUNCT
ejpam-5595	250	25	illustrate	illustrate	VERB
ejpam-5595	250	26	the	the	DET
ejpam-5595	250	27	impact	impact	NOUN
ejpam-5595	250	28	of	of	ADP
ejpam-5595	250	29	viscoelastic	viscoelastic	ADJ
ejpam-5595	250	30	parameters	parameter	NOUN
ejpam-5595	250	31	λ1	λ1	ADJ
ejpam-5595	250	32	and	and	CCONJ
ejpam-5595	250	33	λ2	λ2	NOUN
ejpam-5595	250	34	on	on	ADP
ejpam-5595	250	35	the	the	DET
ejpam-5595	250	36	instability	instability	NOUN
ejpam-5595	250	37	characteristics	characteristic	NOUN
ejpam-5595	250	38	in	in	ADP
ejpam-5595	250	39	the	the	DET
ejpam-5595	250	40	rayleigh	rayleigh	PROPN
ejpam-5595	250	41	mode	mode	NOUN
ejpam-5595	250	42	and	and	CCONJ
ejpam-5595	250	43	atomization	atomization	NOUN
ejpam-5595	250	44	mode	mode	NOUN
ejpam-5595	250	45	,	,	PUNCT
ejpam-5595	250	46	respectively	respectively	ADV
ejpam-5595	250	47	.	.	PUNCT
ejpam-5595	251	1	we	we	PRON
ejpam-5595	251	2	have	have	AUX
ejpam-5595	251	3	plotted	plot	VERB
ejpam-5595	251	4	the	the	DET
ejpam-5595	251	5	variation	variation	NOUN
ejpam-5595	251	6	of	of	ADP
ejpam-5595	251	7	the	the	DET
ejpam-5595	251	8	growth	growth	NOUN
ejpam-5595	251	9	rate	rate	NOUN
ejpam-5595	251	10	ωr	ωr	VERB
ejpam-5595	251	11	given	give	VERB
ejpam-5595	251	12	by	by	ADP
ejpam-5595	251	13	eq	eq	PROPN
ejpam-5595	251	14	.	.	PUNCT
ejpam-5595	252	1	(	(	PUNCT
ejpam-5595	252	2	49	49	NUM
ejpam-5595	252	3	)	)	PUNCT
ejpam-5595	252	4	against	against	ADP
ejpam-5595	252	5	k.	k.	PROPN
ejpam-5595	252	6	from	from	ADP
ejpam-5595	252	7	fig	fig	NOUN
ejpam-5595	252	8	.	.	PUNCT
ejpam-5595	253	1	2(a	2(a	NUM
ejpam-5595	253	2	)	)	PUNCT
ejpam-5595	253	3	,	,	PUNCT
ejpam-5595	253	4	in	in	ADP
ejpam-5595	253	5	the	the	DET
ejpam-5595	253	6	rayleigh	rayleigh	PROPN
ejpam-5595	253	7	mode	mode	NOUN
ejpam-5595	253	8	,	,	PUNCT
ejpam-5595	253	9	we	we	PRON
ejpam-5595	253	10	can	can	AUX
ejpam-5595	253	11	observe	observe	VERB
ejpam-5595	253	12	that	that	SCONJ
ejpam-5595	253	13	in	in	ADP
ejpam-5595	253	14	the	the	DET
ejpam-5595	253	15	range	range	NOUN
ejpam-5595	253	16	of	of	ADP
ejpam-5595	253	17	wave	wave	NOUN
ejpam-5595	253	18	number	number	NOUN
ejpam-5595	253	19	0	0	PUNCT
ejpam-5595	254	1	<	<	X
ejpam-5595	255	1	k	k	X
ejpam-5595	256	1	<	<	X
ejpam-5595	256	2	0.1	0.1	NUM
ejpam-5595	256	3	,	,	PUNCT
ejpam-5595	256	4	for	for	ADP
ejpam-5595	256	5	all	all	DET
ejpam-5595	256	6	values	value	NOUN
ejpam-5595	256	7	of	of	ADP
ejpam-5595	256	8	the	the	DET
ejpam-5595	256	9	viscoelastic	viscoelastic	ADJ
ejpam-5595	256	10	parameters	parameter	NOUN
ejpam-5595	256	11	,	,	PUNCT
ejpam-5595	256	12	the	the	DET
ejpam-5595	256	13	growth	growth	NOUN
ejpam-5595	256	14	rates	rate	NOUN
ejpam-5595	256	15	are	be	AUX
ejpam-5595	256	16	the	the	DET
ejpam-5595	256	17	same	same	ADJ
ejpam-5595	256	18	,	,	PUNCT
ejpam-5595	256	19	after	after	ADP
ejpam-5595	256	20	which	which	PRON
ejpam-5595	256	21	as	as	SCONJ
ejpam-5595	256	22	the	the	DET
ejpam-5595	256	23	values	value	NOUN
ejpam-5595	256	24	of	of	ADP
ejpam-5595	256	25	the	the	DET
ejpam-5595	256	26	viscoelastic	viscoelastic	ADJ
ejpam-5595	256	27	parameters	parameter	NOUN
ejpam-5595	256	28	increase	increase	VERB
ejpam-5595	256	29	,	,	PUNCT
ejpam-5595	256	30	the	the	DET
ejpam-5595	256	31	growth	growth	NOUN
ejpam-5595	256	32	rates	rate	NOUN
ejpam-5595	256	33	somewhat	somewhat	ADV
ejpam-5595	256	34	decline	decline	VERB
ejpam-5595	256	35	;	;	PUNCT
ejpam-5595	256	36	consequently	consequently	ADV
ejpam-5595	256	37	,	,	PUNCT
ejpam-5595	256	38	by	by	ADP
ejpam-5595	256	39	raising	raise	VERB
ejpam-5595	256	40	the	the	DET
ejpam-5595	256	41	viscoelastic	viscoelastic	ADJ
ejpam-5595	256	42	parameters	parameter	NOUN
ejpam-5595	256	43	,	,	PUNCT
ejpam-5595	256	44	the	the	DET
ejpam-5595	256	45	stability	stability	NOUN
ejpam-5595	256	46	area	area	NOUN
ejpam-5595	256	47	slightly	slightly	ADV
ejpam-5595	256	48	increases	increase	NOUN
ejpam-5595	256	49	.	.	PUNCT
ejpam-5595	257	1	consequently	consequently	ADV
ejpam-5595	257	2	,	,	PUNCT
ejpam-5595	257	3	we	we	PRON
ejpam-5595	257	4	get	get	VERB
ejpam-5595	257	5	the	the	DET
ejpam-5595	257	6	conclusion	conclusion	NOUN
ejpam-5595	257	7	that	that	SCONJ
ejpam-5595	257	8	the	the	DET
ejpam-5595	257	9	viscoelastic	viscoelastic	ADJ
ejpam-5595	257	10	parameters	parameter	NOUN
ejpam-5595	257	11	have	have	AUX
ejpam-5595	257	12	a	a	DET
ejpam-5595	257	13	slightly	slightly	ADV
ejpam-5595	257	14	stabilizing	stabilize	VERB
ejpam-5595	257	15	influence	influence	NOUN
ejpam-5595	257	16	on	on	ADP
ejpam-5595	257	17	the	the	DET
ejpam-5595	257	18	rayleigh	rayleigh	PROPN
ejpam-5595	257	19	mode	mode	NOUN
ejpam-5595	257	20	.	.	PUNCT
ejpam-5595	258	1	as	as	SCONJ
ejpam-5595	258	2	the	the	DET
ejpam-5595	258	3	values	value	NOUN
ejpam-5595	258	4	of	of	ADP
ejpam-5595	258	5	the	the	DET
ejpam-5595	258	6	viscoelastic	viscoelastic	ADJ
ejpam-5595	258	7	parameters	parameter	NOUN
ejpam-5595	258	8	increase	increase	VERB
ejpam-5595	258	9	,	,	PUNCT
ejpam-5595	258	10	figure	figure	NOUN
ejpam-5595	258	11	2(b	2(b	NUM
ejpam-5595	258	12	)	)	PUNCT
ejpam-5595	258	13	demonstrates	demonstrate	VERB
ejpam-5595	258	14	that	that	SCONJ
ejpam-5595	258	15	the	the	DET
ejpam-5595	258	16	maximum	maximum	ADJ
ejpam-5595	258	17	growth	growth	NOUN
ejpam-5595	258	18	rates	rate	NOUN
ejpam-5595	258	19	decrease	decrease	VERB
ejpam-5595	258	20	and	and	CCONJ
ejpam-5595	258	21	occur	occur	VERB
ejpam-5595	258	22	at	at	ADP
ejpam-5595	258	23	the	the	DET
ejpam-5595	258	24	same	same	ADJ
ejpam-5595	258	25	dominant	dominant	ADJ
ejpam-5595	258	26	wave	wave	NOUN
ejpam-5595	258	27	number	number	NOUN
ejpam-5595	258	28	,	,	PUNCT
ejpam-5595	258	29	hence	hence	ADV
ejpam-5595	258	30	the	the	DET
ejpam-5595	258	31	stability	stability	NOUN
ejpam-5595	258	32	zone	zone	NOUN
ejpam-5595	258	33	increases	increase	NOUN
ejpam-5595	258	34	.	.	PUNCT
ejpam-5595	259	1	it	it	PRON
ejpam-5595	259	2	can	can	AUX
ejpam-5595	259	3	be	be	AUX
ejpam-5595	259	4	concluded	conclude	VERB
ejpam-5595	259	5	that	that	SCONJ
ejpam-5595	259	6	the	the	DET
ejpam-5595	259	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	259	8	parameters	parameter	NOUN
ejpam-5595	259	9	have	have	VERB
ejpam-5595	259	10	a	a	DET
ejpam-5595	259	11	stabilizing	stabilize	VERB
ejpam-5595	259	12	influence	influence	NOUN
ejpam-5595	259	13	in	in	ADP
ejpam-5595	259	14	the	the	DET
ejpam-5595	259	15	atomization	atomization	NOUN
ejpam-5595	259	16	m.	m.	NOUN
ejpam-5595	259	17	f.	f.	PROPN
ejpam-5595	259	18	el	el	PROPN
ejpam-5595	259	19	-	-	PUNCT
ejpam-5595	259	20	sayed	sayed	PROPN
ejpam-5595	259	21	,	,	PUNCT
ejpam-5595	259	22	d.	d.	PROPN
ejpam-5595	259	23	m.	m.	PROPN
ejpam-5595	259	24	mostafa	mostafa	PROPN
ejpam-5595	259	25	,	,	PUNCT
ejpam-5595	259	26	a.	a.	PROPN
ejpam-5595	259	27	m.	m.	PROPN
ejpam-5595	259	28	f.	f.	PROPN
ejpam-5595	259	29	alrashdi	alrashdi	PROPN
ejpam-5595	259	30	/	/	SYM
ejpam-5595	259	31	eur	eur	PROPN
ejpam-5595	259	32	.	.	PUNCT
ejpam-5595	260	1	j.	j.	PROPN
ejpam-5595	260	2	pure	pure	PROPN
ejpam-5595	260	3	appl	appl	PROPN
ejpam-5595	260	4	.	.	PROPN
ejpam-5595	260	5	math	math	PROPN
ejpam-5595	260	6	,	,	PUNCT
ejpam-5595	260	7	18	18	NUM
ejpam-5595	260	8	(	(	PUNCT
ejpam-5595	260	9	1	1	NUM
ejpam-5595	260	10	)	)	PUNCT
ejpam-5595	260	11	(	(	PUNCT
ejpam-5595	260	12	2025	2025	NUM
ejpam-5595	260	13	)	)	PUNCT
ejpam-5595	260	14	,	,	PUNCT
ejpam-5595	260	15	5595	5595	NUM
ejpam-5595	260	16	13	13	NUM
ejpam-5595	260	17	of	of	ADP
ejpam-5595	260	18	20	20	NUM
ejpam-5595	260	19	mode.the	mode.the	PRON
ejpam-5595	260	20	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	260	21	is	be	AUX
ejpam-5595	260	22	resisted	resist	VERB
ejpam-5595	260	23	by	by	ADP
ejpam-5595	260	24	the	the	DET
ejpam-5595	260	25	disturbed	disturbed	ADJ
ejpam-5595	260	26	flow	flow	NOUN
ejpam-5595	260	27	,	,	PUNCT
ejpam-5595	260	28	which	which	PRON
ejpam-5595	260	29	leads	lead	VERB
ejpam-5595	260	30	to	to	ADP
ejpam-5595	260	31	the	the	DET
ejpam-5595	260	32	system	system	NOUN
ejpam-5595	260	33	moving	move	VERB
ejpam-5595	260	34	toward	toward	ADP
ejpam-5595	260	35	stability	stability	NOUN
ejpam-5595	260	36	;	;	PUNCT
ejpam-5595	260	37	hence	hence	ADV
ejpam-5595	260	38	,	,	PUNCT
ejpam-5595	260	39	the	the	DET
ejpam-5595	260	40	viscoelastic	viscoelastic	NOUN
ejpam-5595	260	41	parameter	parameter	NOUN
ejpam-5595	260	42	enhances	enhance	VERB
ejpam-5595	260	43	stability	stability	NOUN
ejpam-5595	260	44	.	.	PUNCT
ejpam-5595	261	1	similar	similar	ADJ
ejpam-5595	261	2	results	result	NOUN
ejpam-5595	261	3	have	have	AUX
ejpam-5595	261	4	already	already	ADV
ejpam-5595	261	5	been	be	AUX
ejpam-5595	261	6	obtained	obtain	VERB
ejpam-5595	261	7	[	[	X
ejpam-5595	261	8	1	1	NUM
ejpam-5595	261	9	,	,	PUNCT
ejpam-5595	261	10	30	30	NUM
ejpam-5595	261	11	,	,	PUNCT
ejpam-5595	261	12	38	38	NUM
ejpam-5595	261	13	]	]	PUNCT
ejpam-5595	261	14	.	.	PUNCT
ejpam-5595	262	1	note	note	VERB
ejpam-5595	262	2	that	that	SCONJ
ejpam-5595	262	3	the	the	DET
ejpam-5595	262	4	starting	starting	NOUN
ejpam-5595	262	5	and	and	CCONJ
ejpam-5595	262	6	end	end	VERB
ejpam-5595	262	7	wave	wave	NOUN
ejpam-5595	262	8	number	number	NOUN
ejpam-5595	262	9	points	point	NOUN
ejpam-5595	262	10	coincide	coincide	NOUN
ejpam-5595	262	11	in	in	ADP
ejpam-5595	262	12	each	each	PRON
ejpam-5595	262	13	of	of	ADP
ejpam-5595	262	14	rayleigh	rayleigh	PROPN
ejpam-5595	262	15	and	and	CCONJ
ejpam-5595	262	16	taylor	taylor	PROPN
ejpam-5595	262	17	modes	mode	NOUN
ejpam-5595	262	18	,	,	PUNCT
ejpam-5595	262	19	respectively	respectively	ADV
ejpam-5595	262	20	such	such	ADJ
ejpam-5595	262	21	that	that	SCONJ
ejpam-5595	262	22	the	the	DET
ejpam-5595	262	23	instability	instability	NOUN
ejpam-5595	262	24	regions	region	NOUN
ejpam-5595	262	25	under	under	ADP
ejpam-5595	262	26	the	the	DET
ejpam-5595	262	27	curves	curve	NOUN
ejpam-5595	262	28	in	in	ADP
ejpam-5595	262	29	atomization	atomization	NOUN
ejpam-5595	262	30	mode	mode	NOUN
ejpam-5595	262	31	are	be	AUX
ejpam-5595	262	32	bigger	big	ADJ
ejpam-5595	262	33	than	than	ADP
ejpam-5595	262	34	the	the	DET
ejpam-5595	262	35	corresponding	corresponding	ADJ
ejpam-5595	262	36	regions	region	NOUN
ejpam-5595	262	37	in	in	ADP
ejpam-5595	262	38	rayleigh	rayleigh	PROPN
ejpam-5595	262	39	mode	mode	PROPN
ejpam-5595	262	40	.	.	PUNCT
ejpam-5595	263	1	figure	figure	VERB
ejpam-5595	263	2	3	3	NUM
ejpam-5595	263	3	:	:	PUNCT
ejpam-5595	263	4	demonstrates	demonstrate	VERB
ejpam-5595	263	5	the	the	DET
ejpam-5595	263	6	effect	effect	NOUN
ejpam-5595	263	7	of	of	ADP
ejpam-5595	263	8	velocity	velocity	NOUN
ejpam-5595	263	9	profile	profile	NOUN
ejpam-5595	263	10	parameter	parameter	PROPN
ejpam-5595	263	11	b	b	PROPN
ejpam-5595	263	12	..	..	PUNCT
ejpam-5595	263	13	in	in	ADP
ejpam-5595	263	14	figs	fig	NOUN
ejpam-5595	263	15	.	.	PUNCT
ejpam-5595	264	1	3(a	3(a	NUM
ejpam-5595	264	2	)	)	PUNCT
ejpam-5595	264	3	and	and	CCONJ
ejpam-5595	264	4	3(b	3(b	NUM
ejpam-5595	264	5	)	)	PUNCT
ejpam-5595	265	1	,	,	PUNCT
ejpam-5595	265	2	we	we	PRON
ejpam-5595	265	3	have	have	AUX
ejpam-5595	265	4	plotted	plot	VERB
ejpam-5595	265	5	the	the	DET
ejpam-5595	265	6	variation	variation	NOUN
ejpam-5595	265	7	of	of	ADP
ejpam-5595	265	8	the	the	DET
ejpam-5595	265	9	growth	growth	NOUN
ejpam-5595	265	10	rate	rate	NOUN
ejpam-5595	265	11	ωr	ωr	VERB
ejpam-5595	265	12	given	give	VERB
ejpam-5595	265	13	by	by	ADP
ejpam-5595	265	14	eq	eq	PROPN
ejpam-5595	265	15	.	.	PUNCT
ejpam-5595	266	1	(	(	PUNCT
ejpam-5595	266	2	49	49	NUM
ejpam-5595	266	3	)	)	PUNCT
ejpam-5595	266	4	against	against	ADP
ejpam-5595	266	5	k	k	PROPN
ejpam-5595	266	6	for	for	ADP
ejpam-5595	266	7	several	several	ADJ
ejpam-5595	266	8	values	value	NOUN
ejpam-5595	266	9	of	of	ADP
ejpam-5595	266	10	the	the	DET
ejpam-5595	266	11	parameter	parameter	NOUN
ejpam-5595	266	12	b	b	PROPN
ejpam-5595	266	13	(=	(=	NUM
ejpam-5595	266	14	0.0	0.0	NUM
ejpam-5595	266	15	,	,	PUNCT
ejpam-5595	266	16	0.03	0.03	NUM
ejpam-5595	266	17	,	,	PUNCT
ejpam-5595	266	18	0.05	0.05	NUM
ejpam-5595	266	19	,	,	PUNCT
ejpam-5595	266	20	0.07	0.07	NUM
ejpam-5595	266	21	)	)	PUNCT
ejpam-5595	266	22	in	in	ADP
ejpam-5595	266	23	the	the	DET
ejpam-5595	266	24	rayleigh	rayleigh	PROPN
ejpam-5595	266	25	mode	mode	NOUN
ejpam-5595	266	26	and	and	CCONJ
ejpam-5595	266	27	atomization	atomization	NOUN
ejpam-5595	266	28	mode	mode	NOUN
ejpam-5595	266	29	.	.	PUNCT
ejpam-5595	267	1	figures	figure	NOUN
ejpam-5595	267	2	3(a	3(a	NUM
ejpam-5595	267	3	)	)	PUNCT
ejpam-5595	267	4	and	and	CCONJ
ejpam-5595	267	5	3(b	3(b	NUM
ejpam-5595	267	6	)	)	PUNCT
ejpam-5595	267	7	demonstrate	demonstrate	VERB
ejpam-5595	267	8	that	that	SCONJ
ejpam-5595	267	9	the	the	DET
ejpam-5595	267	10	instability	instability	NOUN
ejpam-5595	267	11	regions	region	NOUN
ejpam-5595	267	12	in	in	ADP
ejpam-5595	267	13	the	the	DET
ejpam-5595	267	14	atomization	atomization	NOUN
ejpam-5595	267	15	mode	mode	NOUN
ejpam-5595	267	16	,	,	PUNCT
ejpam-5595	267	17	as	as	ADV
ejpam-5595	267	18	well	well	ADV
ejpam-5595	267	19	as	as	ADP
ejpam-5595	267	20	growth	growth	NOUN
ejpam-5595	267	21	rates	rate	NOUN
ejpam-5595	267	22	and	and	CCONJ
ejpam-5595	267	23	wave	wave	NOUN
ejpam-5595	267	24	numbers	number	NOUN
ejpam-5595	267	25	period	period	NOUN
ejpam-5595	267	26	are	be	AUX
ejpam-5595	267	27	more	more	ADV
ejpam-5595	267	28	larger	large	ADJ
ejpam-5595	267	29	than	than	ADP
ejpam-5595	267	30	in	in	ADP
ejpam-5595	267	31	the	the	DET
ejpam-5595	267	32	rayleigh	rayleigh	PROPN
ejpam-5595	267	33	mode	mode	NOUN
ejpam-5595	267	34	.	.	PUNCT
ejpam-5595	268	1	the	the	DET
ejpam-5595	268	2	starting	starting	NOUN
ejpam-5595	268	3	and	and	CCONJ
ejpam-5595	268	4	end	end	VERB
ejpam-5595	268	5	wave	wave	NOUN
ejpam-5595	268	6	number	number	NOUN
ejpam-5595	268	7	values	value	NOUN
ejpam-5595	268	8	in	in	ADP
ejpam-5595	268	9	rayleigh	rayleigh	PROPN
ejpam-5595	268	10	mode	mode	PROPN
ejpam-5595	268	11	are	be	AUX
ejpam-5595	268	12	,	,	PUNCT
ejpam-5595	268	13	respectively	respectively	ADV
ejpam-5595	268	14	,	,	PUNCT
ejpam-5595	268	15	conincide	conincide	ADJ
ejpam-5595	268	16	,	,	PUNCT
ejpam-5595	268	17	while	while	SCONJ
ejpam-5595	268	18	in	in	ADP
ejpam-5595	268	19	atomization	atomization	NOUN
ejpam-5595	268	20	mode	mode	NOUN
ejpam-5595	268	21	the	the	DET
ejpam-5595	268	22	starting	start	VERB
ejpam-5595	268	23	wave	wave	NOUN
ejpam-5595	268	24	numbers	number	NOUN
ejpam-5595	268	25	of	of	ADP
ejpam-5595	268	26	curves	curve	NOUN
ejpam-5595	268	27	conincide	conincide	ADV
ejpam-5595	269	1	but	but	CCONJ
ejpam-5595	269	2	the	the	DET
ejpam-5595	269	3	ending	end	VERB
ejpam-5595	269	4	wave	wave	NOUN
ejpam-5595	269	5	numbers	number	NOUN
ejpam-5595	269	6	decrease	decrease	VERB
ejpam-5595	269	7	by	by	ADP
ejpam-5595	269	8	increasing	increase	VERB
ejpam-5595	269	9	the	the	DET
ejpam-5595	269	10	parameter	parameter	PROPN
ejpam-5595	269	11	b.	b.	PROPN
ejpam-5595	269	12	when	when	SCONJ
ejpam-5595	269	13	parameter	parameter	PROPN
ejpam-5595	269	14	b	b	PROPN
ejpam-5595	269	15	rises	rise	NOUN
ejpam-5595	269	16	,	,	PUNCT
ejpam-5595	269	17	the	the	DET
ejpam-5595	269	18	growth	growth	NOUN
ejpam-5595	269	19	rate	rate	NOUN
ejpam-5595	269	20	decreases	decrease	NOUN
ejpam-5595	269	21	,	,	PUNCT
ejpam-5595	269	22	increasing	increase	VERB
ejpam-5595	269	23	the	the	DET
ejpam-5595	269	24	stability	stability	NOUN
ejpam-5595	269	25	area	area	NOUN
ejpam-5595	269	26	.	.	PUNCT
ejpam-5595	270	1	figures	figure	NOUN
ejpam-5595	270	2	3(a	3(a	NUM
ejpam-5595	270	3	)	)	PUNCT
ejpam-5595	270	4	and	and	CCONJ
ejpam-5595	270	5	3(b	3(b	NUM
ejpam-5595	270	6	)	)	PUNCT
ejpam-5595	270	7	demonstrate	demonstrate	VERB
ejpam-5595	270	8	that	that	SCONJ
ejpam-5595	270	9	a	a	DET
ejpam-5595	270	10	greater	great	ADJ
ejpam-5595	270	11	value	value	NOUN
ejpam-5595	270	12	of	of	ADP
ejpam-5595	270	13	parameter	parameter	PROPN
ejpam-5595	270	14	b	b	PROPN
ejpam-5595	270	15	enhances	enhance	VERB
ejpam-5595	270	16	stability	stability	NOUN
ejpam-5595	270	17	for	for	ADP
ejpam-5595	270	18	both	both	CCONJ
ejpam-5595	270	19	the	the	DET
ejpam-5595	270	20	rayleigh	rayleigh	PROPN
ejpam-5595	270	21	and	and	CCONJ
ejpam-5595	270	22	atomization	atomization	NOUN
ejpam-5595	270	23	modes	mode	NOUN
ejpam-5595	270	24	.	.	PUNCT
ejpam-5595	271	1	similar	similar	ADJ
ejpam-5595	271	2	results	result	NOUN
ejpam-5595	271	3	have	have	AUX
ejpam-5595	271	4	already	already	ADV
ejpam-5595	271	5	been	be	AUX
ejpam-5595	271	6	obtained	obtain	VERB
ejpam-5595	271	7	[	[	X
ejpam-5595	271	8	10	10	NUM
ejpam-5595	271	9	,	,	PUNCT
ejpam-5595	271	10	12	12	NUM
ejpam-5595	271	11	]	]	PUNCT
ejpam-5595	271	12	.	.	PUNCT
ejpam-5595	272	1	figure	figure	VERB
ejpam-5595	272	2	4	4	NUM
ejpam-5595	272	3	:	:	PUNCT
ejpam-5595	272	4	illustrates	illustrate	VERB
ejpam-5595	272	5	the	the	DET
ejpam-5595	272	6	impact	impact	NOUN
ejpam-5595	272	7	of	of	ADP
ejpam-5595	272	8	the	the	DET
ejpam-5595	272	9	electric	electric	ADJ
ejpam-5595	272	10	field	field	NOUN
ejpam-5595	272	11	parameter	parameter	NOUN
ejpam-5595	272	12	e0	e0	PROPN
ejpam-5595	272	13	on	on	ADP
ejpam-5595	272	14	the	the	DET
ejpam-5595	272	15	stability	stability	NOUN
ejpam-5595	272	16	profile	profile	NOUN
ejpam-5595	272	17	..	..	PUNCT
ejpam-5595	272	18	m.	m.	PROPN
ejpam-5595	272	19	f.	f.	PROPN
ejpam-5595	272	20	el	el	PROPN
ejpam-5595	272	21	-	-	PUNCT
ejpam-5595	272	22	sayed	sayed	PROPN
ejpam-5595	272	23	,	,	PUNCT
ejpam-5595	272	24	d.	d.	PROPN
ejpam-5595	272	25	m.	m.	PROPN
ejpam-5595	272	26	mostafa	mostafa	PROPN
ejpam-5595	272	27	,	,	PUNCT
ejpam-5595	272	28	a.	a.	PROPN
ejpam-5595	272	29	m.	m.	PROPN
ejpam-5595	272	30	f.	f.	PROPN
ejpam-5595	272	31	alrashdi	alrashdi	PROPN
ejpam-5595	272	32	/	/	SYM
ejpam-5595	272	33	eur	eur	PROPN
ejpam-5595	272	34	.	.	PUNCT
ejpam-5595	273	1	j.	j.	PROPN
ejpam-5595	273	2	pure	pure	PROPN
ejpam-5595	273	3	appl	appl	PROPN
ejpam-5595	273	4	.	.	PROPN
ejpam-5595	273	5	math	math	PROPN
ejpam-5595	273	6	,	,	PUNCT
ejpam-5595	273	7	18	18	NUM
ejpam-5595	273	8	(	(	PUNCT
ejpam-5595	273	9	1	1	NUM
ejpam-5595	273	10	)	)	PUNCT
ejpam-5595	273	11	(	(	PUNCT
ejpam-5595	273	12	2025	2025	NUM
ejpam-5595	273	13	)	)	PUNCT
ejpam-5595	273	14	,	,	PUNCT
ejpam-5595	273	15	5595	5595	NUM
ejpam-5595	273	16	14	14	NUM
ejpam-5595	273	17	of	of	ADP
ejpam-5595	273	18	20	20	NUM
ejpam-5595	273	19	the	the	DET
ejpam-5595	273	20	influence	influence	NOUN
ejpam-5595	273	21	of	of	ADP
ejpam-5595	273	22	the	the	DET
ejpam-5595	273	23	electric	electric	ADJ
ejpam-5595	273	24	field	field	NOUN
ejpam-5595	273	25	parameter	parameter	NOUN
ejpam-5595	273	26	e0	e0	PROPN
ejpam-5595	273	27	on	on	ADP
ejpam-5595	273	28	the	the	DET
ejpam-5595	273	29	stability	stability	NOUN
ejpam-5595	273	30	of	of	ADP
ejpam-5595	273	31	the	the	DET
ejpam-5595	273	32	model	model	NOUN
ejpam-5595	273	33	under	under	ADP
ejpam-5595	273	34	examination	examination	NOUN
ejpam-5595	273	35	is	be	AUX
ejpam-5595	273	36	represented	represent	VERB
ejpam-5595	273	37	in	in	ADP
ejpam-5595	273	38	figs	fig	NOUN
ejpam-5595	273	39	.	.	PUNCT
ejpam-5595	274	1	4(a	4(a	NUM
ejpam-5595	274	2	)	)	PUNCT
ejpam-5595	274	3	and	and	CCONJ
ejpam-5595	274	4	4(b	4(b	NUM
ejpam-5595	274	5	)	)	PUNCT
ejpam-5595	274	6	,	,	PUNCT
ejpam-5595	274	7	in	in	ADP
ejpam-5595	274	8	the	the	DET
ejpam-5595	274	9	rayleigh	rayleigh	PROPN
ejpam-5595	274	10	mode	mode	NOUN
ejpam-5595	274	11	and	and	CCONJ
ejpam-5595	274	12	atomization	atomization	NOUN
ejpam-5595	274	13	mode	mode	NOUN
ejpam-5595	274	14	,	,	PUNCT
ejpam-5595	274	15	respectively	respectively	ADV
ejpam-5595	274	16	.	.	PUNCT
ejpam-5595	275	1	it	it	PRON
ejpam-5595	275	2	can	can	AUX
ejpam-5595	275	3	be	be	AUX
ejpam-5595	275	4	observed	observe	VERB
ejpam-5595	275	5	from	from	ADP
ejpam-5595	275	6	fig	fig	NOUN
ejpam-5595	275	7	.	.	PUNCT
ejpam-5595	276	1	4(a	4(a	NUM
ejpam-5595	276	2	)	)	PUNCT
ejpam-5595	277	1	that	that	SCONJ
ejpam-5595	277	2	within	within	ADP
ejpam-5595	277	3	the	the	DET
ejpam-5595	277	4	range	range	NOUN
ejpam-5595	277	5	of	of	ADP
ejpam-5595	277	6	wave	wave	NOUN
ejpam-5595	277	7	numbers	number	NOUN
ejpam-5595	277	8	0	0	NUM
ejpam-5595	277	9	≤	≤	NUM
ejpam-5595	277	10	k	k	X
ejpam-5595	277	11	≤	≤	NUM
ejpam-5595	277	12	0.1	0.1	NUM
ejpam-5595	277	13	,	,	PUNCT
ejpam-5595	277	14	the	the	DET
ejpam-5595	277	15	growth	growth	NOUN
ejpam-5595	277	16	rates	rate	NOUN
ejpam-5595	277	17	are	be	AUX
ejpam-5595	277	18	equal	equal	ADJ
ejpam-5595	277	19	.	.	PUNCT
ejpam-5595	278	1	after	after	ADP
ejpam-5595	278	2	that	that	PRON
ejpam-5595	278	3	,	,	PUNCT
ejpam-5595	278	4	stability	stability	NOUN
ejpam-5595	278	5	is	be	AUX
ejpam-5595	278	6	promoted	promote	VERB
ejpam-5595	278	7	by	by	ADP
ejpam-5595	278	8	an	an	DET
ejpam-5595	278	9	increase	increase	NOUN
ejpam-5595	278	10	in	in	ADP
ejpam-5595	278	11	the	the	DET
ejpam-5595	278	12	electric	electric	ADJ
ejpam-5595	278	13	field	field	NOUN
ejpam-5595	278	14	e0	e0	PROPN
ejpam-5595	278	15	.	.	PUNCT
ejpam-5595	279	1	as	as	SCONJ
ejpam-5595	279	2	the	the	DET
ejpam-5595	279	3	electric	electric	ADJ
ejpam-5595	279	4	field	field	NOUN
ejpam-5595	279	5	parameter	parameter	NOUN
ejpam-5595	279	6	e0	e0	PROPN
ejpam-5595	279	7	increases	increase	VERB
ejpam-5595	279	8	in	in	ADP
ejpam-5595	279	9	the	the	DET
ejpam-5595	279	10	atomization	atomization	NOUN
ejpam-5595	279	11	mode	mode	NOUN
ejpam-5595	279	12	,	,	PUNCT
ejpam-5595	279	13	the	the	DET
ejpam-5595	279	14	zone	zone	NOUN
ejpam-5595	279	15	of	of	ADP
ejpam-5595	279	16	instability	instability	NOUN
ejpam-5595	279	17	decreases	decrease	VERB
ejpam-5595	279	18	due	due	ADJ
ejpam-5595	279	19	to	to	ADP
ejpam-5595	279	20	a	a	DET
ejpam-5595	279	21	decrease	decrease	NOUN
ejpam-5595	279	22	in	in	ADP
ejpam-5595	279	23	the	the	DET
ejpam-5595	279	24	dominant	dominant	ADJ
ejpam-5595	279	25	wave	wave	NOUN
ejpam-5595	279	26	number	number	NOUN
ejpam-5595	279	27	and	and	CCONJ
ejpam-5595	279	28	maximum	maximum	ADJ
ejpam-5595	279	29	growth	growth	NOUN
ejpam-5595	279	30	rate	rate	NOUN
ejpam-5595	279	31	,	,	PUNCT
ejpam-5595	279	32	as	as	SCONJ
ejpam-5595	279	33	illustrated	illustrate	VERB
ejpam-5595	279	34	in	in	ADP
ejpam-5595	279	35	fig	fig	NOUN
ejpam-5595	279	36	.	.	PUNCT
ejpam-5595	280	1	4(b	4(b	NUM
ejpam-5595	280	2	)	)	PUNCT
ejpam-5595	280	3	.	.	PUNCT
ejpam-5595	281	1	we	we	PRON
ejpam-5595	281	2	conclude	conclude	VERB
ejpam-5595	281	3	that	that	SCONJ
ejpam-5595	281	4	,	,	PUNCT
ejpam-5595	281	5	the	the	DET
ejpam-5595	281	6	electric	electric	ADJ
ejpam-5595	281	7	field	field	NOUN
ejpam-5595	281	8	parameter	parameter	NOUN
ejpam-5595	281	9	e0	e0	PROPN
ejpam-5595	281	10	hinders	hinder	VERB
ejpam-5595	281	11	the	the	DET
ejpam-5595	281	12	instability	instability	NOUN
ejpam-5595	281	13	for	for	ADP
ejpam-5595	281	14	both	both	CCONJ
ejpam-5595	281	15	rayleigh	rayleigh	NOUN
ejpam-5595	281	16	and	and	CCONJ
ejpam-5595	281	17	atomization	atomization	NOUN
ejpam-5595	281	18	modes	mode	NOUN
ejpam-5595	281	19	,	,	PUNCT
ejpam-5595	281	20	which	which	PRON
ejpam-5595	281	21	conforms	conform	VERB
ejpam-5595	281	22	to	to	ADP
ejpam-5595	281	23	the	the	DET
ejpam-5595	281	24	results	result	NOUN
ejpam-5595	281	25	of	of	ADP
ejpam-5595	281	26	el	el	PROPN
ejpam-5595	281	27	-	-	PUNCT
ejpam-5595	281	28	sayed	sayed	PROPN
ejpam-5595	282	1	[	[	X
ejpam-5595	282	2	11	11	NUM
ejpam-5595	282	3	]	]	PUNCT
ejpam-5595	282	4	.	.	PUNCT
ejpam-5595	283	1	figure	figure	NOUN
ejpam-5595	283	2	5	5	NUM
ejpam-5595	283	3	:	:	PUNCT
ejpam-5595	283	4	displays	display	VERB
ejpam-5595	283	5	the	the	DET
ejpam-5595	283	6	effect	effect	NOUN
ejpam-5595	283	7	of	of	ADP
ejpam-5595	283	8	weber	weber	PROPN
ejpam-5595	283	9	number	number	NOUN
ejpam-5595	283	10	we	we	PRON
ejpam-5595	283	11	..	..	PUNCT
ejpam-5595	283	12	figures	figure	VERB
ejpam-5595	283	13	5(a	5(a	NUM
ejpam-5595	283	14	)	)	PUNCT
ejpam-5595	283	15	and	and	CCONJ
ejpam-5595	283	16	5(b	5(b	NUM
ejpam-5595	283	17	)	)	PUNCT
ejpam-5595	283	18	illustrate	illustrate	VERB
ejpam-5595	283	19	the	the	DET
ejpam-5595	283	20	weber	weber	PROPN
ejpam-5595	283	21	number	number	NOUN
ejpam-5595	283	22	we	we	PRON
ejpam-5595	283	23	influence	influence	VERB
ejpam-5595	283	24	on	on	ADP
ejpam-5595	283	25	the	the	DET
ejpam-5595	283	26	disturbance	disturbance	NOUN
ejpam-5595	283	27	growth	growth	NOUN
ejpam-5595	283	28	rate	rate	NOUN
ejpam-5595	283	29	,	,	PUNCT
ejpam-5595	283	30	in	in	ADP
ejpam-5595	283	31	the	the	DET
ejpam-5595	283	32	rayleigh	rayleigh	PROPN
ejpam-5595	283	33	mode	mode	NOUN
ejpam-5595	283	34	and	and	CCONJ
ejpam-5595	283	35	atomization	atomization	NOUN
ejpam-5595	283	36	mode	mode	NOUN
ejpam-5595	283	37	,	,	PUNCT
ejpam-5595	283	38	respectively	respectively	ADV
ejpam-5595	283	39	.	.	PUNCT
ejpam-5595	284	1	the	the	DET
ejpam-5595	284	2	stabilizing	stabilize	VERB
ejpam-5595	284	3	effect	effect	NOUN
ejpam-5595	284	4	of	of	ADP
ejpam-5595	284	5	the	the	DET
ejpam-5595	284	6	we	we	PRON
ejpam-5595	284	7	in	in	ADP
ejpam-5595	284	8	the	the	DET
ejpam-5595	284	9	rayleigh	rayleigh	PROPN
ejpam-5595	284	10	mode	mode	NOUN
ejpam-5595	284	11	is	be	AUX
ejpam-5595	284	12	demonstrated	demonstrate	VERB
ejpam-5595	284	13	by	by	ADP
ejpam-5595	284	14	fig	fig	NOUN
ejpam-5595	284	15	.	.	PUNCT
ejpam-5595	285	1	5(a	5(a	NUM
ejpam-5595	285	2	)	)	PUNCT
ejpam-5595	285	3	,	,	PUNCT
ejpam-5595	285	4	which	which	PRON
ejpam-5595	285	5	makes	make	VERB
ejpam-5595	285	6	it	it	PRON
ejpam-5595	285	7	evident	evident	ADJ
ejpam-5595	285	8	that	that	SCONJ
ejpam-5595	285	9	the	the	DET
ejpam-5595	285	10	growth	growth	NOUN
ejpam-5595	285	11	rate	rate	NOUN
ejpam-5595	285	12	decreases	decrease	NOUN
ejpam-5595	285	13	as	as	SCONJ
ejpam-5595	285	14	the	the	DET
ejpam-5595	285	15	we	we	PRON
ejpam-5595	285	16	increase	increase	VERB
ejpam-5595	285	17	,	,	PUNCT
ejpam-5595	285	18	and	and	CCONJ
ejpam-5595	285	19	hence	hence	ADV
ejpam-5595	285	20	the	the	DET
ejpam-5595	285	21	stability	stability	NOUN
ejpam-5595	285	22	zone	zone	NOUN
ejpam-5595	285	23	is	be	AUX
ejpam-5595	285	24	enlarged	enlarge	VERB
ejpam-5595	285	25	,	,	PUNCT
ejpam-5595	285	26	this	this	PRON
ejpam-5595	285	27	shows	show	VERB
ejpam-5595	285	28	the	the	DET
ejpam-5595	285	29	stabilizing	stabilize	VERB
ejpam-5595	285	30	influence	influence	NOUN
ejpam-5595	285	31	of	of	ADP
ejpam-5595	285	32	the	the	DET
ejpam-5595	285	33	we	we	PRON
ejpam-5595	285	34	in	in	ADP
ejpam-5595	285	35	the	the	DET
ejpam-5595	285	36	rayleigh	rayleigh	PROPN
ejpam-5595	285	37	mode	mode	NOUN
ejpam-5595	285	38	.	.	PUNCT
ejpam-5595	286	1	fig	fig	NOUN
ejpam-5595	286	2	.	.	PUNCT
ejpam-5595	287	1	5(b	5(b	X
ejpam-5595	287	2	)	)	PUNCT
ejpam-5595	287	3	shows	show	VERB
ejpam-5595	287	4	that	that	SCONJ
ejpam-5595	287	5	the	the	DET
ejpam-5595	287	6	dominant	dominant	ADJ
ejpam-5595	287	7	wave	wave	NOUN
ejpam-5595	287	8	numbers	number	NOUN
ejpam-5595	287	9	and	and	CCONJ
ejpam-5595	287	10	maximum	maximum	ADJ
ejpam-5595	287	11	growth	growth	NOUN
ejpam-5595	287	12	rates	rate	NOUN
ejpam-5595	287	13	rise	rise	VERB
ejpam-5595	287	14	with	with	ADP
ejpam-5595	287	15	the	the	DET
ejpam-5595	287	16	weber	weber	PROPN
ejpam-5595	287	17	number	number	NOUN
ejpam-5595	287	18	in	in	ADP
ejpam-5595	287	19	the	the	DET
ejpam-5595	287	20	atomization	atomization	NOUN
ejpam-5595	287	21	mode	mode	NOUN
ejpam-5595	287	22	.	.	PUNCT
ejpam-5595	288	1	thus	thus	ADV
ejpam-5595	288	2	,	,	PUNCT
ejpam-5595	288	3	we	we	PRON
ejpam-5595	288	4	deduce	deduce	VERB
ejpam-5595	288	5	that	that	SCONJ
ejpam-5595	288	6	,	,	PUNCT
ejpam-5595	288	7	in	in	ADP
ejpam-5595	288	8	atomization	atomization	NOUN
ejpam-5595	288	9	mode	mode	NOUN
ejpam-5595	288	10	,	,	PUNCT
ejpam-5595	288	11	we	we	PRON
ejpam-5595	288	12	has	have	VERB
ejpam-5595	288	13	a	a	DET
ejpam-5595	288	14	destabilizing	destabilizing	ADJ
ejpam-5595	288	15	effect	effect	NOUN
ejpam-5595	288	16	on	on	ADP
ejpam-5595	288	17	the	the	DET
ejpam-5595	288	18	viscoelastic	viscoelastic	ADJ
ejpam-5595	288	19	jet	jet	NOUN
ejpam-5595	288	20	.	.	PUNCT
ejpam-5595	289	1	a	a	DET
ejpam-5595	289	2	previous	previous	ADJ
ejpam-5595	289	3	study	study	NOUN
ejpam-5595	289	4	yielded	yield	VERB
ejpam-5595	289	5	comparable	comparable	ADJ
ejpam-5595	289	6	outcomes	outcome	NOUN
ejpam-5595	289	7	[	[	X
ejpam-5595	289	8	14	14	NUM
ejpam-5595	289	9	,	,	PUNCT
ejpam-5595	289	10	19	19	NUM
ejpam-5595	289	11	]	]	PUNCT
ejpam-5595	289	12	.	.	PUNCT
ejpam-5595	290	1	the	the	DET
ejpam-5595	290	2	ratio	ratio	NOUN
ejpam-5595	290	3	of	of	ADP
ejpam-5595	290	4	surface	surface	NOUN
ejpam-5595	290	5	tension	tension	NOUN
ejpam-5595	290	6	to	to	ADP
ejpam-5595	290	7	inertial	inertial	ADJ
ejpam-5595	290	8	forces	force	NOUN
ejpam-5595	290	9	is	be	AUX
ejpam-5595	290	10	represented	represent	VERB
ejpam-5595	290	11	by	by	ADP
ejpam-5595	290	12	the	the	DET
ejpam-5595	290	13	weber	weber	PROPN
ejpam-5595	290	14	number	number	NOUN
ejpam-5595	290	15	,	,	PUNCT
ejpam-5595	290	16	hence	hence	ADV
ejpam-5595	290	17	surface	surface	NOUN
ejpam-5595	290	18	tension	tension	NOUN
ejpam-5595	290	19	has	have	VERB
ejpam-5595	290	20	a	a	DET
ejpam-5595	290	21	destabilizing	destabilizing	ADJ
ejpam-5595	290	22	influence	influence	NOUN
ejpam-5595	290	23	in	in	ADP
ejpam-5595	290	24	the	the	DET
ejpam-5595	290	25	rayleigh	rayleigh	PROPN
ejpam-5595	290	26	mode	mode	NOUN
ejpam-5595	290	27	while	while	SCONJ
ejpam-5595	290	28	it	it	PRON
ejpam-5595	290	29	has	have	VERB
ejpam-5595	290	30	a	a	DET
ejpam-5595	290	31	stabilizing	stabilize	VERB
ejpam-5595	290	32	influence	influence	NOUN
ejpam-5595	290	33	in	in	ADP
ejpam-5595	290	34	the	the	DET
ejpam-5595	290	35	atomization	atomization	NOUN
ejpam-5595	290	36	mode	mode	NOUN
ejpam-5595	290	37	.	.	PUNCT
ejpam-5595	291	1	figures	figure	NOUN
ejpam-5595	291	2	6(a	6(a	NUM
ejpam-5595	291	3	)	)	PUNCT
ejpam-5595	291	4	and	and	CCONJ
ejpam-5595	291	5	6(b	6(b	NUM
ejpam-5595	291	6	)	)	PUNCT
ejpam-5595	291	7	display	display	VERB
ejpam-5595	291	8	the	the	DET
ejpam-5595	291	9	effect	effect	NOUN
ejpam-5595	291	10	of	of	ADP
ejpam-5595	291	11	the	the	DET
ejpam-5595	291	12	density	density	NOUN
ejpam-5595	291	13	ratio	ratio	NOUN
ejpam-5595	291	14	ρ	ρ	PROPN
ejpam-5595	291	15	on	on	ADP
ejpam-5595	291	16	stability	stability	NOUN
ejpam-5595	291	17	behavior	behavior	NOUN
ejpam-5595	291	18	in	in	ADP
ejpam-5595	291	19	the	the	DET
ejpam-5595	291	20	rayleigh	rayleigh	PROPN
ejpam-5595	291	21	mode	mode	NOUN
ejpam-5595	291	22	and	and	CCONJ
ejpam-5595	291	23	atomization	atomization	NOUN
ejpam-5595	291	24	mode	mode	NOUN
ejpam-5595	291	25	,	,	PUNCT
ejpam-5595	291	26	respectively	respectively	ADV
ejpam-5595	291	27	,	,	PUNCT
ejpam-5595	291	28	figures	figure	NOUN
ejpam-5595	291	29	6(a	6(a	NUM
ejpam-5595	291	30	)	)	PUNCT
ejpam-5595	291	31	and	and	CCONJ
ejpam-5595	291	32	6(b	6(b	NUM
ejpam-5595	291	33	)	)	PUNCT
ejpam-5595	291	34	demonstrate	demonstrate	VERB
ejpam-5595	291	35	that	that	SCONJ
ejpam-5595	291	36	ρ	ρ	PROPN
ejpam-5595	291	37	has	have	VERB
ejpam-5595	291	38	a	a	DET
ejpam-5595	291	39	destabilizing	destabilizing	ADJ
ejpam-5595	291	40	impact	impact	NOUN
ejpam-5595	291	41	in	in	ADP
ejpam-5595	291	42	the	the	DET
ejpam-5595	291	43	rayleigh	rayleigh	PROPN
ejpam-5595	291	44	and	and	CCONJ
ejpam-5595	291	45	atomization	atomization	NOUN
ejpam-5595	291	46	modes	mode	NOUN
ejpam-5595	291	47	because	because	SCONJ
ejpam-5595	291	48	increasing	increase	VERB
ejpam-5595	291	49	ρ	ρ	NOUN
ejpam-5595	291	50	enhances	enhance	VERB
ejpam-5595	291	51	instability	instability	NOUN
ejpam-5595	291	52	.	.	PUNCT
ejpam-5595	292	1	this	this	DET
ejpam-5595	292	2	outcome	outcome	NOUN
ejpam-5595	292	3	aligns	align	VERB
ejpam-5595	292	4	with	with	ADP
ejpam-5595	292	5	earlier	early	ADJ
ejpam-5595	292	6	findings	finding	NOUN
ejpam-5595	292	7	by	by	ADP
ejpam-5595	292	8	yang	yang	PROPN
ejpam-5595	292	9	et	et	PROPN
ejpam-5595	292	10	al.[39	al.[39	PROPN
ejpam-5595	292	11	]	]	PUNCT
ejpam-5595	292	12	.	.	PUNCT
ejpam-5595	293	1	the	the	DET
ejpam-5595	293	2	density	density	NOUN
ejpam-5595	293	3	ratio	ratio	NOUN
ejpam-5595	293	4	is	be	AUX
ejpam-5595	293	5	directly	directly	ADV
ejpam-5595	293	6	dependent	dependent	ADJ
ejpam-5595	293	7	on	on	ADP
ejpam-5595	293	8	the	the	DET
ejpam-5595	293	9	density	density	NOUN
ejpam-5595	293	10	of	of	ADP
ejpam-5595	293	11	surrounding	surround	VERB
ejpam-5595	293	12	fluid	fluid	NOUN
ejpam-5595	293	13	and	and	CCONJ
ejpam-5595	293	14	inversely	inversely	ADV
ejpam-5595	293	15	on	on	ADP
ejpam-5595	293	16	the	the	DET
ejpam-5595	293	17	density	density	NOUN
ejpam-5595	293	18	of	of	ADP
ejpam-5595	293	19	the	the	DET
ejpam-5595	293	20	jet	jet	NOUN
ejpam-5595	293	21	fluid	fluid	NOUN
ejpam-5595	293	22	.	.	PUNCT
ejpam-5595	294	1	hence	hence	ADV
ejpam-5595	294	2	,	,	PUNCT
ejpam-5595	294	3	the	the	DET
ejpam-5595	294	4	density	density	NOUN
ejpam-5595	294	5	of	of	ADP
ejpam-5595	294	6	surrounding	surround	VERB
ejpam-5595	294	7	fluid	fluid	NOUN
ejpam-5595	294	8	has	have	VERB
ejpam-5595	294	9	a	a	DET
ejpam-5595	294	10	destabilizing	destabilizing	ADJ
ejpam-5595	294	11	nature	nature	NOUN
ejpam-5595	294	12	in	in	ADP
ejpam-5595	294	13	the	the	DET
ejpam-5595	294	14	system	system	NOUN
ejpam-5595	294	15	under	under	ADP
ejpam-5595	294	16	study	study	NOUN
ejpam-5595	294	17	.	.	PUNCT
ejpam-5595	295	1	from	from	ADP
ejpam-5595	295	2	figs	fig	NOUN
ejpam-5595	295	3	.	.	PUNCT
ejpam-5595	296	1	(	(	PUNCT
ejpam-5595	296	2	4	4	NUM
ejpam-5595	296	3	)	)	PUNCT
ejpam-5595	296	4	and	and	CCONJ
ejpam-5595	296	5	(	(	PUNCT
ejpam-5595	296	6	6	6	NUM
ejpam-5595	296	7	)	)	PUNCT
ejpam-5595	296	8	,	,	PUNCT
ejpam-5595	296	9	it	it	PRON
ejpam-5595	296	10	is	be	AUX
ejpam-5595	296	11	evident	evident	ADJ
ejpam-5595	296	12	that	that	SCONJ
ejpam-5595	296	13	the	the	DET
ejpam-5595	296	14	effect	effect	NOUN
ejpam-5595	296	15	of	of	ADP
ejpam-5595	296	16	density	density	NOUN
ejpam-5595	296	17	ratio	ratio	NOUN
ejpam-5595	296	18	has	have	VERB
ejpam-5595	296	19	an	an	DET
ejpam-5595	296	20	opposite	opposite	ADJ
ejpam-5595	296	21	behavior	behavior	NOUN
ejpam-5595	296	22	to	to	ADP
ejpam-5595	296	23	the	the	DET
ejpam-5595	296	24	impact	impact	NOUN
ejpam-5595	296	25	of	of	ADP
ejpam-5595	296	26	the	the	DET
ejpam-5595	296	27	electric	electric	ADJ
ejpam-5595	296	28	field	field	NOUN
ejpam-5595	296	29	on	on	ADP
ejpam-5595	296	30	our	our	PRON
ejpam-5595	296	31	system	system	NOUN
ejpam-5595	296	32	’s	’s	PART
ejpam-5595	296	33	stability	stability	NOUN
ejpam-5595	296	34	in	in	ADP
ejpam-5595	296	35	both	both	CCONJ
ejpam-5595	296	36	rayleigh	rayleigh	NOUN
ejpam-5595	296	37	and	and	CCONJ
ejpam-5595	296	38	atomization	atomization	NOUN
ejpam-5595	296	39	modes	mode	NOUN
ejpam-5595	296	40	.	.	PUNCT
ejpam-5595	297	1	figs	fig	NOUN
ejpam-5595	297	2	.	.	PUNCT
ejpam-5595	298	1	7(a	7(a	NUM
ejpam-5595	298	2	)	)	PUNCT
ejpam-5595	298	3	and	and	CCONJ
ejpam-5595	298	4	7(b	7(b	X
ejpam-5595	298	5	)	)	PUNCT
ejpam-5595	298	6	display	display	VERB
ejpam-5595	298	7	how	how	SCONJ
ejpam-5595	298	8	the	the	DET
ejpam-5595	298	9	growth	growth	NOUN
ejpam-5595	298	10	rate	rate	NOUN
ejpam-5595	298	11	ωr	ωr	VERB
ejpam-5595	298	12	,	,	PUNCT
ejpam-5595	298	13	as	as	SCONJ
ejpam-5595	298	14	calculated	calculate	VERB
ejpam-5595	298	15	by	by	ADP
ejpam-5595	298	16	eq	eq	PROPN
ejpam-5595	298	17	.	.	PUNCT
ejpam-5595	299	1	(	(	PUNCT
ejpam-5595	299	2	48	48	NUM
ejpam-5595	299	3	)	)	PUNCT
ejpam-5595	299	4	,	,	PUNCT
ejpam-5595	299	5	varies	vary	VERB
ejpam-5595	299	6	with	with	ADP
ejpam-5595	299	7	k	k	PROPN
ejpam-5595	299	8	for	for	ADP
ejpam-5595	299	9	varied	varied	ADJ
ejpam-5595	299	10	values	value	NOUN
ejpam-5595	299	11	of	of	ADP
ejpam-5595	299	12	the	the	DET
ejpam-5595	299	13	porosity	porosity	NOUN
ejpam-5595	299	14	of	of	ADP
ejpam-5595	299	15	the	the	DET
ejpam-5595	299	16	porous	porous	ADJ
ejpam-5595	299	17	medium	medium	NOUN
ejpam-5595	299	18	m	m	NOUN
ejpam-5595	299	19	in	in	ADP
ejpam-5595	299	20	the	the	DET
ejpam-5595	299	21	rayleigh	rayleigh	PROPN
ejpam-5595	299	22	m.	m.	PROPN
ejpam-5595	299	23	f.	f.	PROPN
ejpam-5595	299	24	el	el	PROPN
ejpam-5595	299	25	-	-	PUNCT
ejpam-5595	299	26	sayed	sayed	PROPN
ejpam-5595	299	27	,	,	PUNCT
ejpam-5595	299	28	d.	d.	PROPN
ejpam-5595	299	29	m.	m.	PROPN
ejpam-5595	299	30	mostafa	mostafa	PROPN
ejpam-5595	299	31	,	,	PUNCT
ejpam-5595	299	32	a.	a.	PROPN
ejpam-5595	299	33	m.	m.	PROPN
ejpam-5595	299	34	f.	f.	PROPN
ejpam-5595	299	35	alrashdi	alrashdi	PROPN
ejpam-5595	299	36	/	/	SYM
ejpam-5595	299	37	eur	eur	PROPN
ejpam-5595	299	38	.	.	PUNCT
ejpam-5595	300	1	j.	j.	PROPN
ejpam-5595	300	2	pure	pure	PROPN
ejpam-5595	300	3	appl	appl	PROPN
ejpam-5595	300	4	.	.	PROPN
ejpam-5595	300	5	math	math	PROPN
ejpam-5595	300	6	,	,	PUNCT
ejpam-5595	300	7	18	18	NUM
ejpam-5595	300	8	(	(	PUNCT
ejpam-5595	300	9	1	1	NUM
ejpam-5595	300	10	)	)	PUNCT
ejpam-5595	300	11	(	(	PUNCT
ejpam-5595	300	12	2025	2025	NUM
ejpam-5595	300	13	)	)	PUNCT
ejpam-5595	300	14	,	,	PUNCT
ejpam-5595	300	15	5595	5595	NUM
ejpam-5595	300	16	15	15	NUM
ejpam-5595	300	17	of	of	ADP
ejpam-5595	300	18	20	20	NUM
ejpam-5595	300	19	figure	figure	NOUN
ejpam-5595	300	20	6	6	NUM
ejpam-5595	300	21	:	:	PUNCT
ejpam-5595	300	22	depicts	depict	VERB
ejpam-5595	300	23	how	how	SCONJ
ejpam-5595	300	24	the	the	DET
ejpam-5595	300	25	stability	stability	NOUN
ejpam-5595	300	26	profile	profile	NOUN
ejpam-5595	300	27	is	be	AUX
ejpam-5595	300	28	affected	affect	VERB
ejpam-5595	300	29	by	by	ADP
ejpam-5595	300	30	the	the	DET
ejpam-5595	300	31	density	density	NOUN
ejpam-5595	300	32	ratio	ratio	NOUN
ejpam-5595	300	33	..	..	PUNCT
ejpam-5595	300	34	figure	figure	NOUN
ejpam-5595	300	35	7	7	NUM
ejpam-5595	300	36	:	:	PUNCT
ejpam-5595	300	37	indicates	indicate	VERB
ejpam-5595	300	38	the	the	DET
ejpam-5595	300	39	effect	effect	NOUN
ejpam-5595	300	40	of	of	ADP
ejpam-5595	300	41	porosity	porosity	NOUN
ejpam-5595	300	42	m	m	PROPN
ejpam-5595	300	43	..	..	PUNCT
ejpam-5595	300	44	and	and	CCONJ
ejpam-5595	300	45	atomization	atomization	NOUN
ejpam-5595	300	46	modes	mode	NOUN
ejpam-5595	300	47	,	,	PUNCT
ejpam-5595	300	48	respectively	respectively	ADV
ejpam-5595	300	49	.	.	PUNCT
ejpam-5595	301	1	it	it	PRON
ejpam-5595	301	2	is	be	AUX
ejpam-5595	301	3	clear	clear	ADJ
ejpam-5595	301	4	that	that	SCONJ
ejpam-5595	301	5	,	,	PUNCT
ejpam-5595	301	6	in	in	ADP
ejpam-5595	301	7	rayleigh	rayleigh	PROPN
ejpam-5595	301	8	mode	mode	PROPN
ejpam-5595	301	9	,	,	PUNCT
ejpam-5595	301	10	the	the	DET
ejpam-5595	301	11	maximum	maximum	ADJ
ejpam-5595	301	12	growth	growth	NOUN
ejpam-5595	301	13	rates	rate	NOUN
ejpam-5595	301	14	decrease	decrease	VERB
ejpam-5595	301	15	by	by	ADP
ejpam-5595	301	16	increasing	increase	VERB
ejpam-5595	301	17	m	m	PRON
ejpam-5595	301	18	,	,	PUNCT
ejpam-5595	301	19	thus	thus	ADV
ejpam-5595	301	20	instability	instability	NOUN
ejpam-5595	301	21	area	area	NOUN
ejpam-5595	301	22	decrease	decrease	NOUN
ejpam-5595	301	23	.	.	PUNCT
ejpam-5595	302	1	in	in	ADP
ejpam-5595	302	2	the	the	DET
ejpam-5595	302	3	atomization	atomization	NOUN
ejpam-5595	302	4	mode	mode	NOUN
ejpam-5595	302	5	,	,	PUNCT
ejpam-5595	302	6	fig	fig	NOUN
ejpam-5595	302	7	.	.	PUNCT
ejpam-5595	303	1	7(b	7(b	X
ejpam-5595	303	2	)	)	PUNCT
ejpam-5595	303	3	shows	show	VERB
ejpam-5595	303	4	that	that	SCONJ
ejpam-5595	303	5	as	as	SCONJ
ejpam-5595	303	6	m	m	NOUN
ejpam-5595	303	7	increases	increase	NOUN
ejpam-5595	303	8	,	,	PUNCT
ejpam-5595	303	9	the	the	DET
ejpam-5595	303	10	dominant	dominant	ADJ
ejpam-5595	303	11	wave	wave	NOUN
ejpam-5595	303	12	number	number	NOUN
ejpam-5595	303	13	and	and	CCONJ
ejpam-5595	303	14	maximum	maximum	ADJ
ejpam-5595	303	15	growth	growth	NOUN
ejpam-5595	303	16	rates	rate	NOUN
ejpam-5595	303	17	decrease	decrease	VERB
ejpam-5595	303	18	.	.	PUNCT
ejpam-5595	304	1	consequently	consequently	ADV
ejpam-5595	304	2	,	,	PUNCT
ejpam-5595	304	3	for	for	ADP
ejpam-5595	304	4	both	both	CCONJ
ejpam-5595	304	5	rayleigh	rayleigh	NOUN
ejpam-5595	304	6	and	and	CCONJ
ejpam-5595	304	7	atomization	atomization	NOUN
ejpam-5595	304	8	modes	mode	NOUN
ejpam-5595	304	9	,	,	PUNCT
ejpam-5595	304	10	m	m	VERB
ejpam-5595	304	11	has	have	VERB
ejpam-5595	304	12	a	a	DET
ejpam-5595	304	13	stabilizing	stabilize	VERB
ejpam-5595	304	14	effect	effect	NOUN
ejpam-5595	304	15	on	on	ADP
ejpam-5595	304	16	the	the	DET
ejpam-5595	304	17	viscoelastic	viscoelastic	ADJ
ejpam-5595	304	18	liquid	liquid	ADJ
ejpam-5595	304	19	jet	jet	NOUN
ejpam-5595	304	20	in	in	ADP
ejpam-5595	304	21	accordance	accordance	NOUN
ejpam-5595	304	22	with	with	ADP
ejpam-5595	304	23	the	the	DET
ejpam-5595	304	24	previous	previous	ADJ
ejpam-5595	304	25	study	study	NOUN
ejpam-5595	304	26	[	[	X
ejpam-5595	304	27	12	12	NUM
ejpam-5595	304	28	]	]	PUNCT
ejpam-5595	304	29	of	of	ADP
ejpam-5595	304	30	the	the	DET
ejpam-5595	304	31	outer	outer	ADJ
ejpam-5595	304	32	gas	gas	NOUN
ejpam-5595	304	33	medium	medium	NOUN
ejpam-5595	304	34	and	and	CCONJ
ejpam-5595	304	35	the	the	DET
ejpam-5595	304	36	absence	absence	NOUN
ejpam-5595	304	37	of	of	ADP
ejpam-5595	304	38	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	304	39	parameters	parameter	NOUN
ejpam-5595	304	40	.	.	PUNCT
ejpam-5595	305	1	figure	figure	VERB
ejpam-5595	305	2	8	8	NUM
ejpam-5595	305	3	:	:	PUNCT
ejpam-5595	305	4	depicts	depict	VERB
ejpam-5595	305	5	the	the	DET
ejpam-5595	305	6	impact	impact	NOUN
ejpam-5595	305	7	of	of	ADP
ejpam-5595	305	8	medium	medium	ADJ
ejpam-5595	305	9	permeability	permeability	NOUN
ejpam-5595	305	10	k1	k1	NOUN
ejpam-5595	305	11	..	..	PUNCT
ejpam-5595	305	12	in	in	ADP
ejpam-5595	305	13	figs	fig	NOUN
ejpam-5595	305	14	.	.	PUNCT
ejpam-5595	306	1	8(a	8(a	NUM
ejpam-5595	306	2	)	)	PUNCT
ejpam-5595	306	3	and	and	CCONJ
ejpam-5595	306	4	8(b	8(b	NUM
ejpam-5595	306	5	)	)	PUNCT
ejpam-5595	306	6	,	,	PUNCT
ejpam-5595	306	7	the	the	DET
ejpam-5595	306	8	impact	impact	NOUN
ejpam-5595	306	9	of	of	ADP
ejpam-5595	306	10	the	the	DET
ejpam-5595	306	11	medium	medium	ADJ
ejpam-5595	306	12	permeability	permeability	NOUN
ejpam-5595	306	13	k1	k1	NOUN
ejpam-5595	306	14	is	be	AUX
ejpam-5595	306	15	examined	examine	VERB
ejpam-5595	306	16	in	in	ADP
ejpam-5595	306	17	the	the	DET
ejpam-5595	306	18	rayleigh	rayleigh	NOUN
ejpam-5595	306	19	and	and	CCONJ
ejpam-5595	306	20	atomization	atomization	NOUN
ejpam-5595	306	21	regimes	regime	NOUN
ejpam-5595	306	22	,	,	PUNCT
ejpam-5595	306	23	respectively	respectively	ADV
ejpam-5595	306	24	.	.	PUNCT
ejpam-5595	307	1	as	as	SCONJ
ejpam-5595	307	2	seen	see	VERB
ejpam-5595	307	3	in	in	ADP
ejpam-5595	307	4	fig	fig	NOUN
ejpam-5595	307	5	.	.	PUNCT
ejpam-5595	308	1	8(a	8(a	NUM
ejpam-5595	308	2	)	)	PUNCT
ejpam-5595	308	3	,	,	PUNCT
ejpam-5595	308	4	k1	k1	PROPN
ejpam-5595	308	5	has	have	VERB
ejpam-5595	308	6	a	a	DET
ejpam-5595	308	7	destabilizing	destabilizing	ADJ
ejpam-5595	308	8	m.	m.	NOUN
ejpam-5595	308	9	f.	f.	PROPN
ejpam-5595	308	10	el	el	PROPN
ejpam-5595	308	11	-	-	PUNCT
ejpam-5595	308	12	sayed	sayed	PROPN
ejpam-5595	308	13	,	,	PUNCT
ejpam-5595	308	14	d.	d.	PROPN
ejpam-5595	308	15	m.	m.	PROPN
ejpam-5595	308	16	mostafa	mostafa	PROPN
ejpam-5595	308	17	,	,	PUNCT
ejpam-5595	308	18	a.	a.	PROPN
ejpam-5595	308	19	m.	m.	PROPN
ejpam-5595	308	20	f.	f.	PROPN
ejpam-5595	308	21	alrashdi	alrashdi	PROPN
ejpam-5595	308	22	/	/	SYM
ejpam-5595	308	23	eur	eur	PROPN
ejpam-5595	308	24	.	.	PUNCT
ejpam-5595	309	1	j.	j.	PROPN
ejpam-5595	309	2	pure	pure	PROPN
ejpam-5595	309	3	appl	appl	PROPN
ejpam-5595	309	4	.	.	PROPN
ejpam-5595	309	5	math	math	PROPN
ejpam-5595	309	6	,	,	PUNCT
ejpam-5595	309	7	18	18	NUM
ejpam-5595	309	8	(	(	PUNCT
ejpam-5595	309	9	1	1	NUM
ejpam-5595	309	10	)	)	PUNCT
ejpam-5595	309	11	(	(	PUNCT
ejpam-5595	309	12	2025	2025	NUM
ejpam-5595	309	13	)	)	PUNCT
ejpam-5595	309	14	,	,	PUNCT
ejpam-5595	309	15	5595	5595	NUM
ejpam-5595	309	16	16	16	NUM
ejpam-5595	309	17	of	of	ADP
ejpam-5595	309	18	20	20	NUM
ejpam-5595	309	19	effect	effect	NOUN
ejpam-5595	309	20	in	in	ADP
ejpam-5595	309	21	the	the	DET
ejpam-5595	309	22	wave	wave	NOUN
ejpam-5595	309	23	number	number	NOUN
ejpam-5595	309	24	range	range	NOUN
ejpam-5595	309	25	0	0	NUM
ejpam-5595	309	26	≤	≤	NUM
ejpam-5595	309	27	k	k	X
ejpam-5595	309	28	≤	≤	NUM
ejpam-5595	309	29	1.1	1.1	NUM
ejpam-5595	309	30	,	,	PUNCT
ejpam-5595	309	31	and	and	CCONJ
ejpam-5595	309	32	then	then	ADV
ejpam-5595	309	33	a	a	DET
ejpam-5595	309	34	slightly	slightly	ADV
ejpam-5595	309	35	stabilizing	stabilize	VERB
ejpam-5595	309	36	effect	effect	NOUN
ejpam-5595	309	37	after	after	ADP
ejpam-5595	309	38	that	that	PRON
ejpam-5595	309	39	.	.	PUNCT
ejpam-5595	310	1	fig	fig	NOUN
ejpam-5595	310	2	.	.	PUNCT
ejpam-5595	311	1	8(b	8(b	NUM
ejpam-5595	311	2	)	)	PUNCT
ejpam-5595	312	1	shows	show	VERB
ejpam-5595	312	2	that	that	SCONJ
ejpam-5595	312	3	k1	k1	PROPN
ejpam-5595	312	4	has	have	VERB
ejpam-5595	312	5	a	a	DET
ejpam-5595	312	6	destabilizing	destabilizing	ADJ
ejpam-5595	312	7	impact	impact	NOUN
ejpam-5595	312	8	in	in	ADP
ejpam-5595	312	9	the	the	DET
ejpam-5595	312	10	wave	wave	NOUN
ejpam-5595	312	11	number	number	NOUN
ejpam-5595	312	12	range	range	NOUN
ejpam-5595	312	13	0	0	NUM
ejpam-5595	312	14	≤	≤	NUM
ejpam-5595	312	15	k	k	PROPN
ejpam-5595	312	16	≤	≤	NUM
ejpam-5595	312	17	127	127	NUM
ejpam-5595	312	18	,	,	PUNCT
ejpam-5595	312	19	while	while	SCONJ
ejpam-5595	312	20	it	it	PRON
ejpam-5595	312	21	later	later	ADV
ejpam-5595	312	22	has	have	VERB
ejpam-5595	312	23	a	a	DET
ejpam-5595	312	24	stabilizing	stabilize	VERB
ejpam-5595	312	25	effect	effect	NOUN
ejpam-5595	312	26	.	.	PUNCT
ejpam-5595	313	1	thus	thus	ADV
ejpam-5595	313	2	,	,	PUNCT
ejpam-5595	313	3	we	we	PRON
ejpam-5595	313	4	deduce	deduce	VERB
ejpam-5595	313	5	that	that	SCONJ
ejpam-5595	313	6	k1	k1	PROPN
ejpam-5595	313	7	has	have	VERB
ejpam-5595	313	8	a	a	DET
ejpam-5595	313	9	dual	dual	ADJ
ejpam-5595	313	10	role	role	NOUN
ejpam-5595	313	11	in	in	ADP
ejpam-5595	313	12	the	the	DET
ejpam-5595	313	13	stability	stability	NOUN
ejpam-5595	313	14	of	of	ADP
ejpam-5595	313	15	a	a	DET
ejpam-5595	313	16	viscoelastic	viscoelastic	ADJ
ejpam-5595	313	17	jet	jet	NOUN
ejpam-5595	313	18	in	in	ADP
ejpam-5595	313	19	both	both	DET
ejpam-5595	313	20	modes	mode	NOUN
ejpam-5595	313	21	,	,	PUNCT
ejpam-5595	313	22	i.e.	i.e.	X
ejpam-5595	313	23	,	,	PUNCT
ejpam-5595	313	24	it	it	PRON
ejpam-5595	313	25	has	have	VERB
ejpam-5595	313	26	a	a	DET
ejpam-5595	313	27	destabilizing	destabilizing	ADJ
ejpam-5595	313	28	influence	influence	NOUN
ejpam-5595	313	29	and	and	CCONJ
ejpam-5595	313	30	then	then	ADV
ejpam-5595	313	31	stabilizes	stabilize	VERB
ejpam-5595	313	32	.	.	PUNCT
ejpam-5595	314	1	figure	figure	NOUN
ejpam-5595	314	2	9	9	NUM
ejpam-5595	314	3	:	:	PUNCT
ejpam-5595	314	4	represents	represent	VERB
ejpam-5595	314	5	the	the	DET
ejpam-5595	314	6	impact	impact	NOUN
ejpam-5595	314	7	of	of	ADP
ejpam-5595	314	8	dielectric	dielectric	ADJ
ejpam-5595	314	9	constants	constant	NOUN
ejpam-5595	314	10	ϵ1	ϵ1	ADJ
ejpam-5595	314	11	and	and	CCONJ
ejpam-5595	314	12	ϵ2	ϵ2	ADJ
ejpam-5595	314	13	.	.	PUNCT
ejpam-5595	315	1	figs	fig	NOUN
ejpam-5595	315	2	.	.	PUNCT
ejpam-5595	316	1	9(a	9(a	X
ejpam-5595	316	2	)	)	PUNCT
ejpam-5595	316	3	and	and	CCONJ
ejpam-5595	316	4	9(b	9(b	NUM
ejpam-5595	316	5	)	)	PUNCT
ejpam-5595	316	6	show	show	VERB
ejpam-5595	316	7	how	how	SCONJ
ejpam-5595	316	8	the	the	DET
ejpam-5595	316	9	growth	growth	NOUN
ejpam-5595	316	10	rate	rate	NOUN
ejpam-5595	316	11	ωr	ωr	ADP
ejpam-5595	316	12	varies	vary	VERB
ejpam-5595	316	13	with	with	ADP
ejpam-5595	316	14	k	k	PROPN
ejpam-5595	316	15	in	in	ADP
ejpam-5595	316	16	the	the	DET
ejpam-5595	316	17	rayleigh	rayleigh	PROPN
ejpam-5595	316	18	and	and	CCONJ
ejpam-5595	316	19	atomization	atomization	NOUN
ejpam-5595	316	20	modes	mode	NOUN
ejpam-5595	316	21	,	,	PUNCT
ejpam-5595	316	22	respectively	respectively	ADV
ejpam-5595	316	23	,	,	PUNCT
ejpam-5595	316	24	for	for	ADP
ejpam-5595	316	25	varied	varied	ADJ
ejpam-5595	316	26	values	value	NOUN
ejpam-5595	316	27	of	of	ADP
ejpam-5595	316	28	the	the	DET
ejpam-5595	316	29	dielectric	dielectric	ADJ
ejpam-5595	316	30	constants	constant	NOUN
ejpam-5595	316	31	(	(	PUNCT
ejpam-5595	316	32	ϵ1	ϵ1	ADJ
ejpam-5595	316	33	,	,	PUNCT
ejpam-5595	316	34	ϵ2	ϵ2	PROPN
ejpam-5595	316	35	=	=	NOUN
ejpam-5595	316	36	0.2	0.2	NUM
ejpam-5595	316	37	,	,	PUNCT
ejpam-5595	316	38	;	;	PUNCT
ejpam-5595	316	39	0.3	0.3	NUM
ejpam-5595	316	40	,	,	PUNCT
ejpam-5595	316	41	0.2	0.2	NUM
ejpam-5595	316	42	;	;	PUNCT
ejpam-5595	316	43	0.4	0.4	NUM
ejpam-5595	316	44	,	,	PUNCT
ejpam-5595	316	45	0.3	0.3	NUM
ejpam-5595	316	46	;	;	PUNCT
ejpam-5595	316	47	0.9	0.9	NUM
ejpam-5595	316	48	,	,	PUNCT
ejpam-5595	316	49	0.8	0.8	NUM
ejpam-5595	316	50	)	)	PUNCT
ejpam-5595	316	51	.	.	PUNCT
ejpam-5595	317	1	fig	fig	NOUN
ejpam-5595	317	2	.	.	PUNCT
ejpam-5595	318	1	9(a	9(a	X
ejpam-5595	318	2	)	)	PUNCT
ejpam-5595	318	3	illustrates	illustrate	VERB
ejpam-5595	318	4	that	that	SCONJ
ejpam-5595	318	5	,	,	PUNCT
ejpam-5595	318	6	in	in	ADP
ejpam-5595	318	7	the	the	DET
ejpam-5595	318	8	rayleigh	rayleigh	PROPN
ejpam-5595	318	9	regime	regime	NOUN
ejpam-5595	318	10	,	,	PUNCT
ejpam-5595	318	11	growth	growth	NOUN
ejpam-5595	318	12	rates	rate	NOUN
ejpam-5595	318	13	are	be	AUX
ejpam-5595	318	14	identical	identical	ADJ
ejpam-5595	318	15	in	in	ADP
ejpam-5595	318	16	value	value	NOUN
ejpam-5595	318	17	in	in	ADP
ejpam-5595	318	18	the	the	DET
ejpam-5595	318	19	interval	interval	NOUN
ejpam-5595	318	20	0	0	NUM
ejpam-5595	318	21	≤	≤	NUM
ejpam-5595	319	1	k	k	X
ejpam-5595	319	2	≤	≤	NUM
ejpam-5595	319	3	0.1	0.1	NUM
ejpam-5595	319	4	;	;	PUNCT
ejpam-5595	319	5	after	after	ADP
ejpam-5595	319	6	that	that	PRON
ejpam-5595	319	7	,	,	PUNCT
ejpam-5595	319	8	a	a	DET
ejpam-5595	319	9	small	small	ADJ
ejpam-5595	319	10	rise	rise	NOUN
ejpam-5595	319	11	in	in	ADP
ejpam-5595	319	12	growth	growth	NOUN
ejpam-5595	319	13	rates	rate	NOUN
ejpam-5595	319	14	is	be	AUX
ejpam-5595	319	15	observed	observe	VERB
ejpam-5595	319	16	through	through	ADP
ejpam-5595	319	17	an	an	DET
ejpam-5595	319	18	increase	increase	NOUN
ejpam-5595	319	19	in	in	ADP
ejpam-5595	319	20	ϵ1	ϵ1	NOUN
ejpam-5595	319	21	and	and	CCONJ
ejpam-5595	319	22	ϵ2	ϵ2	ADJ
ejpam-5595	319	23	.	.	PUNCT
ejpam-5595	320	1	hence	hence	ADV
ejpam-5595	320	2	,	,	PUNCT
ejpam-5595	320	3	ϵ1	ϵ1	ADJ
ejpam-5595	320	4	and	and	CCONJ
ejpam-5595	320	5	ϵ2	ϵ2	PROPN
ejpam-5595	320	6	have	have	VERB
ejpam-5595	320	7	a	a	DET
ejpam-5595	320	8	slightly	slightly	ADV
ejpam-5595	320	9	destabilizing	destabilizing	ADJ
ejpam-5595	320	10	influence	influence	NOUN
ejpam-5595	320	11	on	on	ADP
ejpam-5595	320	12	the	the	DET
ejpam-5595	320	13	viscoelastic	viscoelastic	ADJ
ejpam-5595	320	14	jet	jet	NOUN
ejpam-5595	320	15	.	.	PUNCT
ejpam-5595	321	1	figure	figure	NOUN
ejpam-5595	321	2	9(b	9(b	NUM
ejpam-5595	321	3	)	)	PUNCT
ejpam-5595	321	4	illustrates	illustrate	VERB
ejpam-5595	321	5	,	,	PUNCT
ejpam-5595	321	6	in	in	ADP
ejpam-5595	321	7	the	the	DET
ejpam-5595	321	8	atomization	atomization	NOUN
ejpam-5595	321	9	regime	regime	NOUN
ejpam-5595	321	10	that	that	SCONJ
ejpam-5595	321	11	the	the	DET
ejpam-5595	321	12	instability	instability	NOUN
ejpam-5595	321	13	areas	area	NOUN
ejpam-5595	321	14	increase	increase	VERB
ejpam-5595	321	15	by	by	ADP
ejpam-5595	321	16	increasing	increase	VERB
ejpam-5595	321	17	ϵ1	ϵ1	ADJ
ejpam-5595	321	18	and	and	CCONJ
ejpam-5595	321	19	ϵ2	ϵ2	ADJ
ejpam-5595	321	20	.	.	PUNCT
ejpam-5595	322	1	thus	thus	ADV
ejpam-5595	322	2	,	,	PUNCT
ejpam-5595	322	3	we	we	PRON
ejpam-5595	322	4	deduce	deduce	VERB
ejpam-5595	322	5	that	that	DET
ejpam-5595	322	6	ϵ1	ϵ1	NOUN
ejpam-5595	322	7	and	and	CCONJ
ejpam-5595	322	8	ϵ2	ϵ2	PROPN
ejpam-5595	322	9	have	have	VERB
ejpam-5595	322	10	destabilizing	destabilizing	ADJ
ejpam-5595	322	11	effects	effect	NOUN
ejpam-5595	322	12	on	on	ADP
ejpam-5595	322	13	a	a	DET
ejpam-5595	322	14	viscoelastic	viscoelastic	ADJ
ejpam-5595	322	15	jet	jet	NOUN
ejpam-5595	322	16	.	.	PUNCT
ejpam-5595	323	1	it	it	PRON
ejpam-5595	323	2	is	be	AUX
ejpam-5595	323	3	clear	clear	ADJ
ejpam-5595	323	4	from	from	ADP
ejpam-5595	323	5	figs	fig	NOUN
ejpam-5595	323	6	.	.	PUNCT
ejpam-5595	324	1	(	(	PUNCT
ejpam-5595	324	2	6	6	NUM
ejpam-5595	324	3	)	)	PUNCT
ejpam-5595	324	4	and	and	CCONJ
ejpam-5595	324	5	(	(	PUNCT
ejpam-5595	324	6	9	9	X
ejpam-5595	324	7	)	)	PUNCT
ejpam-5595	324	8	that	that	SCONJ
ejpam-5595	324	9	the	the	DET
ejpam-5595	324	10	impact	impact	NOUN
ejpam-5595	324	11	of	of	ADP
ejpam-5595	324	12	dielectric	dielectric	ADJ
ejpam-5595	324	13	constants	constant	NOUN
ejpam-5595	324	14	has	have	VERB
ejpam-5595	324	15	quite	quite	ADV
ejpam-5595	324	16	similar	similar	ADJ
ejpam-5595	324	17	behavior	behavior	NOUN
ejpam-5595	324	18	to	to	ADP
ejpam-5595	324	19	the	the	DET
ejpam-5595	324	20	impact	impact	NOUN
ejpam-5595	324	21	of	of	ADP
ejpam-5595	324	22	ρ	ρ	NOUN
ejpam-5595	324	23	on	on	ADP
ejpam-5595	324	24	the	the	DET
ejpam-5595	324	25	stability	stability	NOUN
ejpam-5595	324	26	of	of	ADP
ejpam-5595	324	27	our	our	PRON
ejpam-5595	324	28	system	system	NOUN
ejpam-5595	324	29	in	in	ADP
ejpam-5595	324	30	both	both	CCONJ
ejpam-5595	324	31	rayleigh	rayleigh	NOUN
ejpam-5595	324	32	and	and	CCONJ
ejpam-5595	324	33	atomization	atomization	NOUN
ejpam-5595	324	34	modes	mode	NOUN
ejpam-5595	324	35	.	.	PUNCT
ejpam-5595	325	1	figure	figure	NOUN
ejpam-5595	325	2	10	10	NUM
ejpam-5595	325	3	:	:	PUNCT
ejpam-5595	325	4	represents	represent	VERB
ejpam-5595	325	5	the	the	DET
ejpam-5595	325	6	impact	impact	NOUN
ejpam-5595	325	7	of	of	ADP
ejpam-5595	325	8	kinematic	kinematic	ADJ
ejpam-5595	325	9	viscosities	viscosity	NOUN
ejpam-5595	325	10	..	..	PUNCT
ejpam-5595	325	11	figs	fig	NOUN
ejpam-5595	325	12	.	.	PUNCT
ejpam-5595	326	1	10(a	10(a	NUM
ejpam-5595	326	2	)	)	PUNCT
ejpam-5595	326	3	and	and	CCONJ
ejpam-5595	326	4	10(b	10(b	NUM
ejpam-5595	326	5	)	)	PUNCT
ejpam-5595	326	6	show	show	VERB
ejpam-5595	326	7	the	the	DET
ejpam-5595	326	8	behavior	behavior	NOUN
ejpam-5595	326	9	of	of	ADP
ejpam-5595	326	10	the	the	DET
ejpam-5595	326	11	growth	growth	NOUN
ejpam-5595	326	12	rate	rate	NOUN
ejpam-5595	326	13	curves	curve	NOUN
ejpam-5595	326	14	with	with	ADP
ejpam-5595	326	15	respect	respect	NOUN
ejpam-5595	326	16	to	to	ADP
ejpam-5595	326	17	the	the	DET
ejpam-5595	326	18	kinematic	kinematic	ADJ
ejpam-5595	326	19	viscosities	viscosity	NOUN
ejpam-5595	326	20	in	in	ADP
ejpam-5595	326	21	the	the	DET
ejpam-5595	326	22	rayleigh	rayleigh	PROPN
ejpam-5595	326	23	and	and	CCONJ
ejpam-5595	326	24	atomization	atomization	NOUN
ejpam-5595	326	25	modes	mode	NOUN
ejpam-5595	326	26	,	,	PUNCT
ejpam-5595	326	27	respectively	respectively	ADV
ejpam-5595	326	28	.	.	PUNCT
ejpam-5595	327	1	as	as	SCONJ
ejpam-5595	327	2	can	can	AUX
ejpam-5595	327	3	be	be	AUX
ejpam-5595	327	4	seen	see	VERB
ejpam-5595	327	5	from	from	ADP
ejpam-5595	327	6	figure	figure	NOUN
ejpam-5595	327	7	10(a	10(a	NUM
ejpam-5595	327	8	)	)	PUNCT
ejpam-5595	327	9	,	,	PUNCT
ejpam-5595	327	10	the	the	DET
ejpam-5595	327	11	kinematic	kinematic	ADJ
ejpam-5595	327	12	viscosities	viscosity	NOUN
ejpam-5595	327	13	in	in	ADP
ejpam-5595	327	14	the	the	DET
ejpam-5595	327	15	rayleigh	rayleigh	PROPN
ejpam-5595	327	16	mode	mode	NOUN
ejpam-5595	327	17	have	have	VERB
ejpam-5595	327	18	a	a	DET
ejpam-5595	327	19	slightly	slightly	ADV
ejpam-5595	327	20	stabilizing	stabilize	VERB
ejpam-5595	327	21	influence	influence	NOUN
ejpam-5595	327	22	in	in	ADP
ejpam-5595	327	23	the	the	DET
ejpam-5595	327	24	interval	interval	NOUN
ejpam-5595	327	25	o	o	NOUN
ejpam-5595	327	26	≤	≤	X
ejpam-5595	327	27	k	k	X
ejpam-5595	327	28	≤	≤	NUM
ejpam-5595	327	29	0.09	0.09	NUM
ejpam-5595	327	30	,	,	PUNCT
ejpam-5595	327	31	while	while	SCONJ
ejpam-5595	327	32	they	they	PRON
ejpam-5595	327	33	have	have	VERB
ejpam-5595	327	34	a	a	DET
ejpam-5595	327	35	destabilizing	destabilizing	ADJ
ejpam-5595	327	36	influence	influence	NOUN
ejpam-5595	327	37	m.	m.	NOUN
ejpam-5595	327	38	f.	f.	PROPN
ejpam-5595	327	39	el	el	PROPN
ejpam-5595	327	40	-	-	PUNCT
ejpam-5595	327	41	sayed	sayed	PROPN
ejpam-5595	327	42	,	,	PUNCT
ejpam-5595	327	43	d.	d.	PROPN
ejpam-5595	327	44	m.	m.	PROPN
ejpam-5595	327	45	mostafa	mostafa	PROPN
ejpam-5595	327	46	,	,	PUNCT
ejpam-5595	327	47	a.	a.	PROPN
ejpam-5595	327	48	m.	m.	PROPN
ejpam-5595	327	49	f.	f.	PROPN
ejpam-5595	327	50	alrashdi	alrashdi	PROPN
ejpam-5595	327	51	/	/	SYM
ejpam-5595	327	52	eur	eur	PROPN
ejpam-5595	327	53	.	.	PUNCT
ejpam-5595	328	1	j.	j.	PROPN
ejpam-5595	328	2	pure	pure	PROPN
ejpam-5595	328	3	appl	appl	PROPN
ejpam-5595	328	4	.	.	PROPN
ejpam-5595	328	5	math	math	PROPN
ejpam-5595	328	6	,	,	PUNCT
ejpam-5595	328	7	18	18	NUM
ejpam-5595	328	8	(	(	PUNCT
ejpam-5595	328	9	1	1	NUM
ejpam-5595	328	10	)	)	PUNCT
ejpam-5595	328	11	(	(	PUNCT
ejpam-5595	328	12	2025	2025	NUM
ejpam-5595	328	13	)	)	PUNCT
ejpam-5595	328	14	,	,	PUNCT
ejpam-5595	328	15	5595	5595	NUM
ejpam-5595	328	16	17	17	NUM
ejpam-5595	328	17	of	of	ADP
ejpam-5595	328	18	20	20	NUM
ejpam-5595	328	19	after	after	ADP
ejpam-5595	328	20	that	that	PRON
ejpam-5595	328	21	.	.	PUNCT
ejpam-5595	329	1	figure	figure	NOUN
ejpam-5595	329	2	10(b	10(b	NUM
ejpam-5595	329	3	)	)	PUNCT
ejpam-5595	329	4	shows	show	VERB
ejpam-5595	329	5	that	that	SCONJ
ejpam-5595	329	6	,	,	PUNCT
ejpam-5595	329	7	in	in	ADP
ejpam-5595	329	8	the	the	DET
ejpam-5595	329	9	atomization	atomization	NOUN
ejpam-5595	329	10	mode	mode	NOUN
ejpam-5595	329	11	,	,	PUNCT
ejpam-5595	329	12	as	as	SCONJ
ejpam-5595	329	13	the	the	DET
ejpam-5595	329	14	kinematic	kinematic	ADJ
ejpam-5595	329	15	viscosities	viscosity	NOUN
ejpam-5595	329	16	increase	increase	VERB
ejpam-5595	329	17	,	,	PUNCT
ejpam-5595	329	18	growth	growth	NOUN
ejpam-5595	329	19	rate	rate	NOUN
ejpam-5595	329	20	curves	curve	NOUN
ejpam-5595	329	21	increase	increase	NOUN
ejpam-5595	329	22	and	and	CCONJ
ejpam-5595	329	23	the	the	DET
ejpam-5595	329	24	system	system	NOUN
ejpam-5595	329	25	gets	get	AUX
ejpam-5595	329	26	destabilized	destabilize	VERB
ejpam-5595	329	27	.	.	PUNCT
ejpam-5595	330	1	hence	hence	ADV
ejpam-5595	330	2	,	,	PUNCT
ejpam-5595	330	3	we	we	PRON
ejpam-5595	330	4	can	can	AUX
ejpam-5595	330	5	say	say	VERB
ejpam-5595	330	6	that	that	SCONJ
ejpam-5595	330	7	the	the	DET
ejpam-5595	330	8	kinematic	kinematic	ADJ
ejpam-5595	330	9	viscosities	viscosity	NOUN
ejpam-5595	330	10	have	have	VERB
ejpam-5595	330	11	destabilizing	destabilizing	ADJ
ejpam-5595	330	12	effects	effect	NOUN
ejpam-5595	330	13	for	for	ADP
ejpam-5595	330	14	both	both	DET
ejpam-5595	330	15	instability	instability	NOUN
ejpam-5595	330	16	modes	mode	NOUN
ejpam-5595	330	17	except	except	SCONJ
ejpam-5595	330	18	for	for	ADP
ejpam-5595	330	19	a	a	DET
ejpam-5595	330	20	very	very	ADV
ejpam-5595	330	21	small	small	ADJ
ejpam-5595	330	22	wave	wave	NOUN
ejpam-5595	330	23	number	number	NOUN
ejpam-5595	330	24	range	range	NOUN
ejpam-5595	330	25	in	in	ADP
ejpam-5595	330	26	rayleigh	rayleigh	PROPN
ejpam-5595	330	27	mode	mode	PROPN
ejpam-5595	330	28	.	.	PUNCT
ejpam-5595	331	1	figure	figure	VERB
ejpam-5595	331	2	11	11	NUM
ejpam-5595	331	3	:	:	PUNCT
ejpam-5595	331	4	compare	compare	VERB
ejpam-5595	331	5	the	the	DET
ejpam-5595	331	6	growth	growth	NOUN
ejpam-5595	331	7	rate	rate	NOUN
ejpam-5595	331	8	curves	curve	NOUN
ejpam-5595	331	9	of	of	ADP
ejpam-5595	331	10	the	the	DET
ejpam-5595	331	11	viscoelastic	viscoelastic	ADJ
ejpam-5595	331	12	jet	jet	NOUN
ejpam-5595	331	13	and	and	CCONJ
ejpam-5595	331	14	the	the	DET
ejpam-5595	331	15	inviscid	inviscid	ADJ
ejpam-5595	331	16	liquid	liquid	ADJ
ejpam-5595	331	17	jet	jet	NOUN
ejpam-5595	331	18	..	..	PUNCT
ejpam-5595	331	19	figures	figure	NOUN
ejpam-5595	331	20	11(a	11(a	NUM
ejpam-5595	331	21	)	)	PUNCT
ejpam-5595	331	22	and	and	CCONJ
ejpam-5595	331	23	11(b	11(b	NUM
ejpam-5595	331	24	)	)	PUNCT
ejpam-5595	331	25	compare	compare	VERB
ejpam-5595	331	26	the	the	DET
ejpam-5595	331	27	growth	growth	NOUN
ejpam-5595	331	28	rate	rate	NOUN
ejpam-5595	331	29	curves	curve	NOUN
ejpam-5595	331	30	of	of	ADP
ejpam-5595	331	31	the	the	DET
ejpam-5595	331	32	walters	walters	PROPN
ejpam-5595	331	33	b′	b′	NUM
ejpam-5595	331	34	type	type	NOUN
ejpam-5595	331	35	viscoelastic	viscoelastic	ADJ
ejpam-5595	331	36	jet	jet	NOUN
ejpam-5595	331	37	and	and	CCONJ
ejpam-5595	331	38	the	the	DET
ejpam-5595	331	39	inviscid	inviscid	ADJ
ejpam-5595	331	40	liquid	liquid	ADJ
ejpam-5595	331	41	jet	jet	NOUN
ejpam-5595	331	42	in	in	ADP
ejpam-5595	331	43	both	both	CCONJ
ejpam-5595	331	44	rayleigh	rayleigh	NOUN
ejpam-5595	331	45	and	and	CCONJ
ejpam-5595	331	46	atomization	atomization	NOUN
ejpam-5595	331	47	modes	mode	NOUN
ejpam-5595	331	48	,	,	PUNCT
ejpam-5595	331	49	respectively	respectively	ADV
ejpam-5595	331	50	.	.	PUNCT
ejpam-5595	332	1	it	it	PRON
ejpam-5595	332	2	is	be	AUX
ejpam-5595	332	3	clear	clear	ADJ
ejpam-5595	332	4	that	that	SCONJ
ejpam-5595	332	5	a	a	DET
ejpam-5595	332	6	walters	walters	PROPN
ejpam-5595	332	7	b′	b′	NUM
ejpam-5595	332	8	viscoelastic	viscoelastic	ADJ
ejpam-5595	332	9	liquid	liquid	ADJ
ejpam-5595	332	10	jet	jet	NOUN
ejpam-5595	332	11	has	have	VERB
ejpam-5595	332	12	a	a	DET
ejpam-5595	332	13	smaller	small	ADJ
ejpam-5595	332	14	growth	growth	NOUN
ejpam-5595	332	15	rate	rate	NOUN
ejpam-5595	332	16	than	than	ADP
ejpam-5595	332	17	an	an	DET
ejpam-5595	332	18	inviscid	inviscid	ADJ
ejpam-5595	332	19	liquid	liquid	ADJ
ejpam-5595	332	20	jet	jet	NOUN
ejpam-5595	332	21	.	.	PUNCT
ejpam-5595	333	1	this	this	PRON
ejpam-5595	333	2	concludes	conclude	VERB
ejpam-5595	333	3	that	that	SCONJ
ejpam-5595	333	4	the	the	DET
ejpam-5595	333	5	walters	walters	PROPN
ejpam-5595	333	6	b′	b′	NUM
ejpam-5595	333	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	333	8	jet	jet	NOUN
ejpam-5595	333	9	possesses	possess	VERB
ejpam-5595	333	10	greater	great	ADJ
ejpam-5595	333	11	stability	stability	NOUN
ejpam-5595	333	12	than	than	ADP
ejpam-5595	333	13	the	the	DET
ejpam-5595	333	14	inviscid	inviscid	ADJ
ejpam-5595	333	15	liquid	liquid	ADJ
ejpam-5595	333	16	jet	jet	NOUN
ejpam-5595	333	17	in	in	ADP
ejpam-5595	333	18	both	both	CCONJ
ejpam-5595	333	19	rayleigh	rayleigh	NOUN
ejpam-5595	333	20	and	and	CCONJ
ejpam-5595	333	21	atomization	atomization	NOUN
ejpam-5595	333	22	modes	mode	NOUN
ejpam-5595	333	23	.	.	PUNCT
ejpam-5595	334	1	awasthia	awasthia	PROPN
ejpam-5595	334	2	et	et	PROPN
ejpam-5595	334	3	al	al	PROPN
ejpam-5595	334	4	.	.	PUNCT
ejpam-5595	335	1	[	[	X
ejpam-5595	335	2	1	1	X
ejpam-5595	335	3	]	]	PUNCT
ejpam-5595	335	4	have	have	AUX
ejpam-5595	335	5	already	already	ADV
ejpam-5595	335	6	achieved	achieve	VERB
ejpam-5595	335	7	comparable	comparable	ADJ
ejpam-5595	335	8	outcomes	outcome	NOUN
ejpam-5595	335	9	.	.	PUNCT
ejpam-5595	336	1	7	7	X
ejpam-5595	336	2	.	.	X
ejpam-5595	336	3	conclusions	conclusion	NOUN
ejpam-5595	336	4	the	the	DET
ejpam-5595	336	5	temporal	temporal	ADJ
ejpam-5595	336	6	linear	linear	NOUN
ejpam-5595	336	7	instability	instability	NOUN
ejpam-5595	336	8	behavior	behavior	NOUN
ejpam-5595	336	9	of	of	ADP
ejpam-5595	336	10	a	a	DET
ejpam-5595	336	11	streaming	streaming	NOUN
ejpam-5595	336	12	wlaters	wlater	NOUN
ejpam-5595	336	13	b′	b′	NUM
ejpam-5595	336	14	viscoelastic	viscoelastic	ADJ
ejpam-5595	336	15	liquid	liquid	ADJ
ejpam-5595	336	16	jet	jet	NOUN
ejpam-5595	336	17	with	with	ADP
ejpam-5595	336	18	a	a	DET
ejpam-5595	336	19	parabolic	parabolic	ADJ
ejpam-5595	336	20	velocity	velocity	NOUN
ejpam-5595	336	21	profile	profile	NOUN
ejpam-5595	336	22	surrounded	surround	VERB
ejpam-5595	336	23	by	by	ADP
ejpam-5595	336	24	a	a	DET
ejpam-5595	336	25	viscoelastic	viscoelastic	ADJ
ejpam-5595	336	26	fluid	fluid	NOUN
ejpam-5595	336	27	of	of	ADP
ejpam-5595	336	28	the	the	DET
ejpam-5595	336	29	same	same	ADJ
ejpam-5595	336	30	type	type	NOUN
ejpam-5595	336	31	with	with	ADP
ejpam-5595	336	32	the	the	DET
ejpam-5595	336	33	existence	existence	NOUN
ejpam-5595	336	34	of	of	ADP
ejpam-5595	336	35	an	an	DET
ejpam-5595	336	36	axial	axial	ADJ
ejpam-5595	336	37	electric	electric	ADJ
ejpam-5595	336	38	field	field	NOUN
ejpam-5595	336	39	and	and	CCONJ
ejpam-5595	336	40	porous	porous	ADJ
ejpam-5595	336	41	medium	medium	NOUN
ejpam-5595	336	42	in	in	ADP
ejpam-5595	336	43	both	both	CCONJ
ejpam-5595	336	44	rayleigh	rayleigh	NOUN
ejpam-5595	336	45	and	and	CCONJ
ejpam-5595	336	46	atomization	atomization	NOUN
ejpam-5595	336	47	modes	mode	NOUN
ejpam-5595	336	48	has	have	AUX
ejpam-5595	336	49	been	be	AUX
ejpam-5595	336	50	examined	examine	VERB
ejpam-5595	336	51	in	in	ADP
ejpam-5595	336	52	this	this	DET
ejpam-5595	336	53	study	study	NOUN
ejpam-5595	336	54	.	.	PUNCT
ejpam-5595	337	1	only	only	ADV
ejpam-5595	337	2	temporal	temporal	ADJ
ejpam-5595	337	3	instability	instability	NOUN
ejpam-5595	337	4	is	be	AUX
ejpam-5595	337	5	considered	consider	VERB
ejpam-5595	337	6	because	because	SCONJ
ejpam-5595	337	7	,	,	PUNCT
ejpam-5595	337	8	due	due	ADP
ejpam-5595	337	9	to	to	ADP
ejpam-5595	337	10	the	the	DET
ejpam-5595	337	11	large	large	ADJ
ejpam-5595	337	12	weber	weber	PROPN
ejpam-5595	337	13	number	number	NOUN
ejpam-5595	337	14	,	,	PUNCT
ejpam-5595	337	15	both	both	CCONJ
ejpam-5595	337	16	temporal	temporal	ADJ
ejpam-5595	337	17	and	and	CCONJ
ejpam-5595	337	18	spatial	spatial	ADJ
ejpam-5595	337	19	instability	instability	NOUN
ejpam-5595	337	20	give	give	VERB
ejpam-5595	337	21	almost	almost	ADV
ejpam-5595	337	22	the	the	DET
ejpam-5595	337	23	same	same	ADJ
ejpam-5595	337	24	outcomes	outcome	NOUN
ejpam-5595	337	25	in	in	ADP
ejpam-5595	337	26	the	the	DET
ejpam-5595	337	27	atomization	atomization	NOUN
ejpam-5595	337	28	regime	regime	NOUN
ejpam-5595	338	1	[	[	X
ejpam-5595	338	2	20	20	NUM
ejpam-5595	338	3	]	]	PUNCT
ejpam-5595	338	4	.	.	PUNCT
ejpam-5595	339	1	a	a	DET
ejpam-5595	339	2	dispersion	dispersion	NOUN
ejpam-5595	339	3	relation	relation	NOUN
ejpam-5595	339	4	has	have	AUX
ejpam-5595	339	5	been	be	AUX
ejpam-5595	339	6	derived	derive	VERB
ejpam-5595	339	7	.	.	PUNCT
ejpam-5595	340	1	the	the	DET
ejpam-5595	340	2	influence	influence	NOUN
ejpam-5595	340	3	of	of	ADP
ejpam-5595	340	4	various	various	ADJ
ejpam-5595	340	5	physical	physical	ADJ
ejpam-5595	340	6	parameters	parameter	NOUN
ejpam-5595	340	7	such	such	ADJ
ejpam-5595	340	8	as	as	ADP
ejpam-5595	340	9	viscoelastic	viscoelastic	ADJ
ejpam-5595	340	10	parameters	parameter	NOUN
ejpam-5595	340	11	,	,	PUNCT
ejpam-5595	340	12	electric	electric	ADJ
ejpam-5595	340	13	field	field	NOUN
ejpam-5595	340	14	parameters	parameter	NOUN
ejpam-5595	340	15	,	,	PUNCT
ejpam-5595	340	16	density	density	NOUN
ejpam-5595	340	17	ratio	ratio	NOUN
ejpam-5595	340	18	,	,	PUNCT
ejpam-5595	340	19	porosity	porosity	NOUN
ejpam-5595	340	20	and	and	CCONJ
ejpam-5595	340	21	permeability	permeability	NOUN
ejpam-5595	340	22	of	of	ADP
ejpam-5595	340	23	the	the	DET
ejpam-5595	340	24	porous	porous	ADJ
ejpam-5595	340	25	medium	medium	ADJ
ejpam-5595	340	26	,	,	PUNCT
ejpam-5595	340	27	dielectric	dielectric	ADJ
ejpam-5595	340	28	constants	constant	NOUN
ejpam-5595	340	29	,	,	PUNCT
ejpam-5595	340	30	and	and	CCONJ
ejpam-5595	340	31	the	the	DET
ejpam-5595	340	32	weber	weber	PROPN
ejpam-5595	340	33	number	number	NOUN
ejpam-5595	340	34	have	have	AUX
ejpam-5595	340	35	been	be	AUX
ejpam-5595	340	36	illustrated	illustrate	VERB
ejpam-5595	340	37	through	through	ADP
ejpam-5595	340	38	various	various	ADJ
ejpam-5595	340	39	figures	figure	NOUN
ejpam-5595	340	40	.	.	PUNCT
ejpam-5595	341	1	the	the	DET
ejpam-5595	341	2	important	important	ADJ
ejpam-5595	341	3	outcomes	outcome	NOUN
ejpam-5595	341	4	that	that	PRON
ejpam-5595	341	5	were	be	AUX
ejpam-5595	341	6	achieved	achieve	VERB
ejpam-5595	341	7	are	be	AUX
ejpam-5595	341	8	that	that	SCONJ
ejpam-5595	341	9	the	the	DET
ejpam-5595	341	10	viscoelasticity	viscoelasticity	NOUN
ejpam-5595	341	11	of	of	ADP
ejpam-5595	341	12	walters	walters	PROPN
ejpam-5595	341	13	b′	b′	NUM
ejpam-5595	341	14	liquid	liquid	ADJ
ejpam-5595	341	15	jet	jet	NOUN
ejpam-5595	341	16	inhibits	inhibit	VERB
ejpam-5595	341	17	the	the	DET
ejpam-5595	341	18	growth	growth	NOUN
ejpam-5595	341	19	of	of	ADP
ejpam-5595	341	20	instability	instability	NOUN
ejpam-5595	341	21	,	,	PUNCT
ejpam-5595	341	22	the	the	DET
ejpam-5595	341	23	viscoelastic	viscoelastic	ADJ
ejpam-5595	341	24	parameters	parameter	NOUN
ejpam-5595	341	25	have	have	VERB
ejpam-5595	341	26	a	a	DET
ejpam-5595	341	27	stabilizing	stabilizing	NOUN
ejpam-5595	341	28	influence	influence	NOUN
ejpam-5595	341	29	for	for	ADP
ejpam-5595	341	30	both	both	CCONJ
ejpam-5595	341	31	rayleigh	rayleigh	NOUN
ejpam-5595	341	32	and	and	CCONJ
ejpam-5595	341	33	atomization	atomization	NOUN
ejpam-5595	341	34	modes	mode	NOUN
ejpam-5595	341	35	,	,	PUNCT
ejpam-5595	341	36	the	the	DET
ejpam-5595	341	37	velocity	velocity	NOUN
ejpam-5595	341	38	profile	profile	NOUN
ejpam-5595	341	39	parameter	parameter	NOUN
ejpam-5595	341	40	has	have	VERB
ejpam-5595	341	41	a	a	DET
ejpam-5595	341	42	stabilizing	stabilize	VERB
ejpam-5595	341	43	influence	influence	NOUN
ejpam-5595	341	44	in	in	ADP
ejpam-5595	341	45	both	both	DET
ejpam-5595	341	46	modes	mode	NOUN
ejpam-5595	341	47	,	,	PUNCT
ejpam-5595	341	48	the	the	DET
ejpam-5595	341	49	electric	electric	ADJ
ejpam-5595	341	50	field	field	NOUN
ejpam-5595	341	51	parameter	parameter	NOUN
ejpam-5595	341	52	hinders	hinder	VERB
ejpam-5595	341	53	instability	instability	NOUN
ejpam-5595	341	54	in	in	ADP
ejpam-5595	341	55	both	both	DET
ejpam-5595	341	56	modes	mode	NOUN
ejpam-5595	341	57	,	,	PUNCT
ejpam-5595	341	58	in	in	ADP
ejpam-5595	341	59	the	the	DET
ejpam-5595	341	60	rayleigh	rayleigh	PROPN
ejpam-5595	341	61	mode	mode	NOUN
ejpam-5595	341	62	,	,	PUNCT
ejpam-5595	341	63	the	the	DET
ejpam-5595	341	64	weber	weber	PROPN
ejpam-5595	341	65	number	number	NOUN
ejpam-5595	341	66	hinders	hinder	VERB
ejpam-5595	341	67	instability	instability	NOUN
ejpam-5595	341	68	,	,	PUNCT
ejpam-5595	341	69	while	while	SCONJ
ejpam-5595	341	70	in	in	ADP
ejpam-5595	341	71	the	the	DET
ejpam-5595	341	72	atomization	atomization	NOUN
ejpam-5595	341	73	mode	mode	NOUN
ejpam-5595	341	74	it	it	PRON
ejpam-5595	341	75	enhances	enhance	VERB
ejpam-5595	341	76	instability	instability	NOUN
ejpam-5595	341	77	,	,	PUNCT
ejpam-5595	341	78	the	the	DET
ejpam-5595	341	79	higher	high	ADJ
ejpam-5595	341	80	density	density	NOUN
ejpam-5595	341	81	of	of	ADP
ejpam-5595	341	82	the	the	DET
ejpam-5595	341	83	jet	jet	NOUN
ejpam-5595	341	84	fluid	fluid	NOUN
ejpam-5595	341	85	promotes	promote	VERB
ejpam-5595	341	86	stabilization	stabilization	NOUN
ejpam-5595	341	87	in	in	ADP
ejpam-5595	341	88	both	both	DET
ejpam-5595	341	89	regimes	regime	NOUN
ejpam-5595	341	90	,	,	PUNCT
ejpam-5595	341	91	the	the	DET
ejpam-5595	341	92	medium	medium	NOUN
ejpam-5595	341	93	’s	’s	PART
ejpam-5595	341	94	permeability	permeability	NOUN
ejpam-5595	341	95	plays	play	VERB
ejpam-5595	341	96	two	two	NUM
ejpam-5595	341	97	roles	role	NOUN
ejpam-5595	341	98	in	in	ADP
ejpam-5595	341	99	the	the	DET
ejpam-5595	341	100	system	system	NOUN
ejpam-5595	341	101	’s	’s	PART
ejpam-5595	341	102	stability	stability	NOUN
ejpam-5595	341	103	,	,	PUNCT
ejpam-5595	341	104	in	in	ADP
ejpam-5595	341	105	both	both	DET
ejpam-5595	341	106	modes	mode	NOUN
ejpam-5595	341	107	,	,	PUNCT
ejpam-5595	341	108	the	the	DET
ejpam-5595	341	109	porous	porous	ADJ
ejpam-5595	341	110	medium	medium	NOUN
ejpam-5595	341	111	’s	’s	PART
ejpam-5595	341	112	porosity	porosity	NOUN
ejpam-5595	341	113	has	have	VERB
ejpam-5595	341	114	a	a	DET
ejpam-5595	341	115	stabilizing	stabilize	VERB
ejpam-5595	341	116	nature	nature	NOUN
ejpam-5595	341	117	,	,	PUNCT
ejpam-5595	341	118	the	the	DET
ejpam-5595	341	119	dielectric	dielectric	ADJ
ejpam-5595	341	120	constants	constant	NOUN
ejpam-5595	341	121	have	have	VERB
ejpam-5595	341	122	a	a	DET
ejpam-5595	341	123	slightly	slightly	ADV
ejpam-5595	341	124	destabilizing	destabilizing	ADJ
ejpam-5595	341	125	nature	nature	NOUN
ejpam-5595	341	126	in	in	ADP
ejpam-5595	341	127	rayleigh	rayleigh	PROPN
ejpam-5595	341	128	mode	mode	NOUN
ejpam-5595	341	129	,	,	PUNCT
ejpam-5595	341	130	while	while	SCONJ
ejpam-5595	341	131	they	they	PRON
ejpam-5595	341	132	have	have	VERB
ejpam-5595	341	133	a	a	DET
ejpam-5595	341	134	destabilizing	destabilizing	ADJ
ejpam-5595	341	135	m.	m.	NOUN
ejpam-5595	341	136	f.	f.	PROPN
ejpam-5595	341	137	el	el	PROPN
ejpam-5595	341	138	-	-	PUNCT
ejpam-5595	341	139	sayed	sayed	PROPN
ejpam-5595	341	140	,	,	PUNCT
ejpam-5595	341	141	d.	d.	PROPN
ejpam-5595	341	142	m.	m.	PROPN
ejpam-5595	341	143	mostafa	mostafa	PROPN
ejpam-5595	341	144	,	,	PUNCT
ejpam-5595	341	145	a.	a.	PROPN
ejpam-5595	341	146	m.	m.	PROPN
ejpam-5595	341	147	f.	f.	PROPN
ejpam-5595	341	148	alrashdi	alrashdi	PROPN
ejpam-5595	341	149	/	/	SYM
ejpam-5595	341	150	eur	eur	PROPN
ejpam-5595	341	151	.	.	PUNCT
ejpam-5595	342	1	j.	j.	PROPN
ejpam-5595	342	2	pure	pure	PROPN
ejpam-5595	342	3	appl	appl	PROPN
ejpam-5595	342	4	.	.	PROPN
ejpam-5595	342	5	math	math	PROPN
ejpam-5595	342	6	,	,	PUNCT
ejpam-5595	342	7	18	18	NUM
ejpam-5595	342	8	(	(	PUNCT
ejpam-5595	342	9	1	1	NUM
ejpam-5595	342	10	)	)	PUNCT
ejpam-5595	342	11	(	(	PUNCT
ejpam-5595	342	12	2025	2025	NUM
ejpam-5595	342	13	)	)	PUNCT
ejpam-5595	342	14	,	,	PUNCT
ejpam-5595	342	15	5595	5595	NUM
ejpam-5595	342	16	18	18	NUM
ejpam-5595	342	17	of	of	ADP
ejpam-5595	342	18	20	20	NUM
ejpam-5595	342	19	influence	influence	NOUN
ejpam-5595	342	20	in	in	ADP
ejpam-5595	342	21	the	the	DET
ejpam-5595	342	22	atomization	atomization	NOUN
ejpam-5595	342	23	mode	mode	NOUN
ejpam-5595	342	24	,	,	PUNCT
ejpam-5595	342	25	kinematic	kinematic	ADJ
ejpam-5595	342	26	viscosity	viscosity	NOUN
ejpam-5595	342	27	plays	play	VERB
ejpam-5595	342	28	dual	dual	ADJ
ejpam-5595	342	29	roles	role	NOUN
ejpam-5595	342	30	in	in	ADP
ejpam-5595	342	31	the	the	DET
ejpam-5595	342	32	system	system	NOUN
ejpam-5595	342	33	’s	’s	PART
ejpam-5595	342	34	stability	stability	NOUN
ejpam-5595	342	35	in	in	ADP
ejpam-5595	342	36	rayleigh	rayleigh	PROPN
ejpam-5595	342	37	mode	mode	PROPN
ejpam-5595	342	38	,	,	PUNCT
ejpam-5595	342	39	having	have	VERB
ejpam-5595	342	40	a	a	DET
ejpam-5595	342	41	stabilizing	stabilizing	NOUN
ejpam-5595	342	42	and	and	CCONJ
ejpam-5595	342	43	then	then	ADV
ejpam-5595	342	44	destabilizing	destabilizing	ADJ
ejpam-5595	342	45	effect	effect	NOUN
ejpam-5595	342	46	while	while	SCONJ
ejpam-5595	342	47	having	have	VERB
ejpam-5595	342	48	a	a	DET
ejpam-5595	342	49	destabilizing	destabilizing	ADJ
ejpam-5595	342	50	effect	effect	NOUN
ejpam-5595	342	51	in	in	ADP
ejpam-5595	342	52	atomization	atomization	NOUN
ejpam-5595	342	53	mode	mode	NOUN
ejpam-5595	342	54	,	,	PUNCT
ejpam-5595	342	55	viscoelastic	viscoelastic	ADJ
ejpam-5595	342	56	jets	jet	NOUN
ejpam-5595	342	57	are	be	AUX
ejpam-5595	342	58	more	more	ADV
ejpam-5595	342	59	stable	stable	ADJ
ejpam-5595	342	60	than	than	ADP
ejpam-5595	342	61	inviscid	inviscid	ADJ
ejpam-5595	342	62	jets	jet	NOUN
ejpam-5595	342	63	in	in	ADP
ejpam-5595	342	64	the	the	DET
ejpam-5595	342	65	rayleigh	rayleigh	PROPN
ejpam-5595	342	66	and	and	CCONJ
ejpam-5595	342	67	atomization	atomization	NOUN
ejpam-5595	342	68	modes	mode	NOUN
ejpam-5595	342	69	and	and	CCONJ
ejpam-5595	342	70	breakup	breakup	NOUN
ejpam-5595	342	71	phenomena	phenomenon	NOUN
ejpam-5595	342	72	in	in	ADP
ejpam-5595	342	73	the	the	DET
ejpam-5595	342	74	atomization	atomization	NOUN
ejpam-5595	342	75	mode	mode	NOUN
ejpam-5595	342	76	of	of	ADP
ejpam-5595	342	77	instability	instability	NOUN
ejpam-5595	342	78	occur	occur	VERB
ejpam-5595	342	79	faster	fast	ADV
ejpam-5595	342	80	than	than	ADP
ejpam-5595	342	81	in	in	ADP
ejpam-5595	342	82	the	the	DET
ejpam-5595	342	83	rayleigh	rayleigh	PROPN
ejpam-5595	342	84	mode	mode	NOUN
ejpam-5595	342	85	,	,	PUNCT
ejpam-5595	342	86	due	due	ADP
ejpam-5595	342	87	to	to	ADP
ejpam-5595	342	88	the	the	DET
ejpam-5595	342	89	liquid	liquid	ADJ
ejpam-5595	342	90	jet	jet	NOUN
ejpam-5595	342	91	instability	instability	NOUN
ejpam-5595	342	92	behavior	behavior	NOUN
ejpam-5595	342	93	.	.	PUNCT
ejpam-5595	343	1	data	datum	NOUN
ejpam-5595	343	2	availability	availability	NOUN
ejpam-5595	343	3	all	all	DET
ejpam-5595	343	4	data	datum	NOUN
ejpam-5595	343	5	that	that	PRON
ejpam-5595	343	6	support	support	VERB
ejpam-5595	343	7	the	the	DET
ejpam-5595	343	8	findings	finding	NOUN
ejpam-5595	343	9	of	of	ADP
ejpam-5595	343	10	this	this	DET
ejpam-5595	343	11	study	study	NOUN
ejpam-5595	343	12	are	be	AUX
ejpam-5595	343	13	included	include	VERB
ejpam-5595	343	14	within	within	ADP
ejpam-5595	343	15	the	the	DET
ejpam-5595	343	16	article	article	NOUN
ejpam-5595	343	17	.	.	PUNCT
ejpam-5595	344	1	references	reference	NOUN
ejpam-5595	344	2	[	[	X
ejpam-5595	344	3	1	1	NUM
ejpam-5595	344	4	]	]	PUNCT
ejpam-5595	344	5	m.	m.	PROPN
ejpam-5595	344	6	k.	k.	PROPN
ejpam-5595	344	7	awasthia	awasthia	PROPN
ejpam-5595	344	8	,	,	PUNCT
ejpam-5595	344	9	r.	r.	PROPN
ejpam-5595	344	10	asthanab	asthanab	PROPN
ejpam-5595	344	11	,	,	PUNCT
ejpam-5595	344	12	and	and	CCONJ
ejpam-5595	344	13	g.	g.	PROPN
ejpam-5595	344	14	s.	s.	PROPN
ejpam-5595	344	15	agrawal	agrawal	PROPN
ejpam-5595	344	16	.	.	PUNCT
ejpam-5595	345	1	viscoelastic	viscoelastic	ADJ
ejpam-5595	345	2	potential	potential	ADJ
ejpam-5595	345	3	flow	flow	NOUN
ejpam-5595	345	4	analysis	analysis	NOUN
ejpam-5595	345	5	of	of	ADP
ejpam-5595	345	6	the	the	DET
ejpam-5595	345	7	stability	stability	NOUN
ejpam-5595	345	8	of	of	ADP
ejpam-5595	345	9	a	a	DET
ejpam-5595	345	10	cylindrical	cylindrical	ADJ
ejpam-5595	345	11	jet	jet	NOUN
ejpam-5595	345	12	.	.	PUNCT
ejpam-5595	346	1	scientia	scientia	PROPN
ejpam-5595	346	2	iranica	iranica	PROPN
ejpam-5595	346	3	,	,	PUNCT
ejpam-5595	346	4	21:578–586	21:578–586	NUM
ejpam-5595	346	5	,	,	PUNCT
ejpam-5595	346	6	2014	2014	NUM
ejpam-5595	346	7	.	.	PUNCT
ejpam-5595	347	1	[	[	X
ejpam-5595	347	2	2	2	NUM
ejpam-5595	347	3	]	]	PUNCT
ejpam-5595	347	4	p.	p.	NOUN
ejpam-5595	347	5	bendel	bendel	PROPN
ejpam-5595	347	6	,	,	PUNCT
ejpam-5595	347	7	m.	m.	NOUN
ejpam-5595	347	8	bernardo	bernardo	PROPN
ejpam-5595	347	9	,	,	PUNCT
ejpam-5595	347	10	and	and	CCONJ
ejpam-5595	347	11	j.	j.	PROPN
ejpam-5595	347	12	h.	h.	PROPN
ejpam-5595	347	13	dunsmui	dunsmui	PROPN
ejpam-5595	347	14	.	.	PUNCT
ejpam-5595	348	1	thomann	thomann	PROPN
ejpam-5595	348	2	h.	h.	PROPN
ejpam-5595	348	3	electric	electric	PROPN
ejpam-5595	348	4	field	field	PROPN
ejpam-5595	348	5	driven	drive	VERB
ejpam-5595	348	6	flow	flow	NOUN
ejpam-5595	348	7	in	in	ADP
ejpam-5595	348	8	natural	natural	ADJ
ejpam-5595	348	9	porous	porous	ADJ
ejpam-5595	348	10	media	medium	NOUN
ejpam-5595	348	11	.	.	PUNCT
ejpam-5595	349	1	magn	magn	PROPN
ejpam-5595	349	2	.	.	PUNCT
ejpam-5595	350	1	reson	reson	PROPN
ejpam-5595	350	2	.	.	PUNCT
ejpam-5595	351	1	imaging	imaging	PROPN
ejpam-5595	351	2	,	,	PUNCT
ejpam-5595	351	3	21:321–327	21:321–327	NUM
ejpam-5595	351	4	,	,	PUNCT
ejpam-5595	351	5	2003	2003	NUM
ejpam-5595	351	6	.	.	PUNCT
ejpam-5595	352	1	[	[	X
ejpam-5595	352	2	3	3	X
ejpam-5595	352	3	]	]	X
ejpam-5595	352	4	g.	g.	PROPN
ejpam-5595	352	5	brenn	brenn	PROPN
ejpam-5595	352	6	,	,	PUNCT
ejpam-5595	352	7	z.	z.	PROPN
ejpam-5595	352	8	liu	liu	PROPN
ejpam-5595	352	9	,	,	PUNCT
ejpam-5595	352	10	and	and	CCONJ
ejpam-5595	352	11	f.	f.	PROPN
ejpam-5595	352	12	durst	durst	PROPN
ejpam-5595	352	13	.	.	PUNCT
ejpam-5595	353	1	linear	linear	ADJ
ejpam-5595	353	2	analysis	analysis	NOUN
ejpam-5595	353	3	of	of	ADP
ejpam-5595	353	4	the	the	DET
ejpam-5595	353	5	temporal	temporal	ADJ
ejpam-5595	353	6	instability	instability	NOUN
ejpam-5595	353	7	od	od	PROPN
ejpam-5595	353	8	axisymmetrical	axisymmetrical	ADJ
ejpam-5595	353	9	non	non	ADJ
ejpam-5595	353	10	-	-	ADJ
ejpam-5595	353	11	newtonian	newtonian	ADJ
ejpam-5595	353	12	liquid	liquid	ADJ
ejpam-5595	353	13	jets	jet	NOUN
ejpam-5595	353	14	.	.	PUNCT
ejpam-5595	354	1	int	int	NOUN
ejpam-5595	354	2	.	.	PUNCT
ejpam-5595	355	1	j.	j.	PROPN
ejpam-5595	355	2	multiphase	multiphase	PROPN
ejpam-5595	355	3	flow	flow	PROPN
ejpam-5595	355	4	,	,	PUNCT
ejpam-5595	355	5	26:1621–1644	26:1621–1644	NUM
ejpam-5595	355	6	,	,	PUNCT
ejpam-5595	355	7	2000	2000	NUM
ejpam-5595	355	8	.	.	PUNCT
ejpam-5595	356	1	[	[	X
ejpam-5595	356	2	4	4	X
ejpam-5595	356	3	]	]	PUNCT
ejpam-5595	356	4	p.	p.	NOUN
ejpam-5595	356	5	o.	o.	PROPN
ejpam-5595	356	6	brunn	brunn	PROPN
ejpam-5595	356	7	and	and	CCONJ
ejpam-5595	356	8	e.	e.	PROPN
ejpam-5595	356	9	ryssel	ryssel	PROPN
ejpam-5595	356	10	.	.	PUNCT
ejpam-5595	357	1	the	the	DET
ejpam-5595	357	2	linear	linear	ADJ
ejpam-5595	357	3	stability	stability	NOUN
ejpam-5595	357	4	of	of	ADP
ejpam-5595	357	5	a	a	DET
ejpam-5595	357	6	viscoelastic	viscoelastic	ADJ
ejpam-5595	357	7	jet	jet	NOUN
ejpam-5595	357	8	(	(	PUNCT
ejpam-5595	357	9	liquid	liquid	ADJ
ejpam-5595	357	10	cylinder	cylinder	NOUN
ejpam-5595	357	11	)	)	PUNCT
ejpam-5595	357	12	surrounded	surround	VERB
ejpam-5595	357	13	by	by	ADP
ejpam-5595	357	14	another	another	DET
ejpam-5595	357	15	viscoelastic	viscoelastic	ADJ
ejpam-5595	357	16	fluid	fluid	NOUN
ejpam-5595	357	17	.	.	PUNCT
ejpam-5595	358	1	z.	z.	PROPN
ejpam-5595	358	2	angew	angew	PROPN
ejpam-5595	358	3	.	.	PUNCT
ejpam-5595	359	1	math	math	PROPN
ejpam-5595	359	2	.	.	PUNCT
ejpam-5595	360	1	mech	mech	PROPN
ejpam-5595	360	2	.	.	PROPN
ejpam-5595	360	3	,	,	PUNCT
ejpam-5595	360	4	83:622–628	83:622–628	NUM
ejpam-5595	360	5	,	,	PUNCT
ejpam-5595	360	6	2003	2003	NUM
ejpam-5595	360	7	.	.	PUNCT
ejpam-5595	361	1	[	[	X
ejpam-5595	361	2	5	5	X
ejpam-5595	361	3	]	]	PUNCT
ejpam-5595	361	4	c.	c.	PROPN
ejpam-5595	361	5	p.	p.	PROPN
ejpam-5595	361	6	carroll	carroll	PROPN
ejpam-5595	361	7	and	and	CCONJ
ejpam-5595	361	8	y.	y.	PROPN
ejpam-5595	361	9	l.	l.	PROPN
ejpam-5595	361	10	joo	joo	PROPN
ejpam-5595	361	11	.	.	PUNCT
ejpam-5595	362	1	electrospinning	electrospinne	VERB
ejpam-5595	362	2	of	of	ADP
ejpam-5595	362	3	viscoelastic	viscoelastic	ADJ
ejpam-5595	362	4	boger	boger	NOUN
ejpam-5595	362	5	fluids	fluid	NOUN
ejpam-5595	362	6	:	:	PUNCT
ejpam-5595	362	7	modeling	modeling	NOUN
ejpam-5595	362	8	and	and	CCONJ
ejpam-5595	362	9	experiments	experiment	NOUN
ejpam-5595	362	10	.	.	PUNCT
ejpam-5595	363	1	phys	phy	NOUN
ejpam-5595	363	2	.	.	PUNCT
ejpam-5595	364	1	fluids	fluid	NOUN
ejpam-5595	364	2	,	,	PUNCT
ejpam-5595	364	3	6:53–65	6:53–65	NUM
ejpam-5595	364	4	,	,	PUNCT
ejpam-5595	364	5	2006	2006	NUM
ejpam-5595	364	6	.	.	PUNCT
ejpam-5595	365	1	[	[	X
ejpam-5595	365	2	6	6	NUM
ejpam-5595	365	3	]	]	PUNCT
ejpam-5595	365	4	s.	s.	PROPN
ejpam-5595	365	5	chandrasekhar	chandrasekhar	PROPN
ejpam-5595	365	6	.	.	PUNCT
ejpam-5595	366	1	hydrodynamic	hydrodynamic	ADJ
ejpam-5595	366	2	and	and	CCONJ
ejpam-5595	366	3	hydromagnetic	hydromagnetic	ADJ
ejpam-5595	366	4	stability	stability	NOUN
ejpam-5595	366	5	.	.	PUNCT
ejpam-5595	367	1	dover	dover	PROPN
ejpam-5595	367	2	publications	publication	NOUN
ejpam-5595	367	3	,	,	PUNCT
ejpam-5595	367	4	new	new	PROPN
ejpam-5595	367	5	york	york	PROPN
ejpam-5595	367	6	,	,	PUNCT
ejpam-5595	367	7	1981	1981	NUM
ejpam-5595	367	8	.	.	PUNCT
ejpam-5595	368	1	[	[	X
ejpam-5595	368	2	7	7	X
ejpam-5595	368	3	]	]	X
ejpam-5595	368	4	f.	f.	PROPN
ejpam-5595	368	5	charru	charru	PROPN
ejpam-5595	368	6	.	.	PUNCT
ejpam-5595	369	1	hydrodynamic	hydrodynamic	ADJ
ejpam-5595	369	2	instabilities	instability	NOUN
ejpam-5595	369	3	.	.	PUNCT
ejpam-5595	370	1	cambridge	cambridge	PROPN
ejpam-5595	370	2	university	university	PROPN
ejpam-5595	370	3	press	press	PROPN
ejpam-5595	370	4	,	,	PUNCT
ejpam-5595	370	5	new	new	PROPN
ejpam-5595	370	6	york	york	PROPN
ejpam-5595	370	7	,	,	PUNCT
ejpam-5595	370	8	2011	2011	NUM
ejpam-5595	370	9	.	.	PUNCT
ejpam-5595	371	1	[	[	X
ejpam-5595	371	2	8	8	NUM
ejpam-5595	371	3	]	]	X
ejpam-5595	371	4	d.	d.	PROPN
ejpam-5595	371	5	dasgupta	dasgupta	PROPN
ejpam-5595	371	6	,	,	PUNCT
ejpam-5595	371	7	s.	s.	PROPN
ejpam-5595	371	8	nath	nath	PROPN
ejpam-5595	371	9	,	,	PUNCT
ejpam-5595	371	10	and	and	CCONJ
ejpam-5595	371	11	d.	d.	PROPN
ejpam-5595	371	12	bhanja	bhanja	PROPN
ejpam-5595	371	13	.	.	PUNCT
ejpam-5595	372	1	a	a	DET
ejpam-5595	372	2	study	study	NOUN
ejpam-5595	372	3	on	on	ADP
ejpam-5595	372	4	dual	dual	ADJ
ejpam-5595	372	5	role	role	NOUN
ejpam-5595	372	6	of	of	ADP
ejpam-5595	372	7	viscosity	viscosity	NOUN
ejpam-5595	372	8	on	on	ADP
ejpam-5595	372	9	the	the	DET
ejpam-5595	372	10	stability	stability	NOUN
ejpam-5595	372	11	of	of	ADP
ejpam-5595	372	12	a	a	DET
ejpam-5595	372	13	viscous	viscous	ADJ
ejpam-5595	372	14	planar	planar	ADJ
ejpam-5595	372	15	liquid	liquid	ADJ
ejpam-5595	372	16	sheet	sheet	NOUN
ejpam-5595	372	17	surrounded	surround	VERB
ejpam-5595	372	18	by	by	ADP
ejpam-5595	372	19	inviscid	inviscid	ADJ
ejpam-5595	372	20	gas	gas	NOUN
ejpam-5595	372	21	streams	stream	NOUN
ejpam-5595	372	22	of	of	ADP
ejpam-5595	372	23	equal	equal	ADJ
ejpam-5595	372	24	velocities	velocity	NOUN
ejpam-5595	372	25	,	,	PUNCT
ejpam-5595	372	26	and	and	CCONJ
ejpam-5595	372	27	prediction	prediction	NOUN
ejpam-5595	372	28	of	of	ADP
ejpam-5595	372	29	resulting	result	VERB
ejpam-5595	372	30	droplet	droplet	ADJ
ejpam-5595	372	31	distribution	distribution	NOUN
ejpam-5595	372	32	using	use	VERB
ejpam-5595	372	33	maximum	maximum	ADJ
ejpam-5595	372	34	entropy	entropy	NOUN
ejpam-5595	372	35	formulation	formulation	NOUN
ejpam-5595	372	36	.	.	PUNCT
ejpam-5595	373	1	phys	phy	NOUN
ejpam-5595	373	2	.	.	PUNCT
ejpam-5595	374	1	fluids	fluid	NOUN
ejpam-5595	374	2	,	,	PUNCT
ejpam-5595	374	3	31:22	31:22	NUM
ejpam-5595	374	4	,	,	PUNCT
ejpam-5595	374	5	2019	2019	NUM
ejpam-5595	374	6	.	.	PUNCT
ejpam-5595	375	1	[	[	X
ejpam-5595	375	2	9	9	NUM
ejpam-5595	375	3	]	]	PUNCT
ejpam-5595	375	4	p.	p.	NOUN
ejpam-5595	375	5	g.	g.	PROPN
ejpam-5595	375	6	drazin	drazin	PROPN
ejpam-5595	375	7	and	and	CCONJ
ejpam-5595	375	8	w.	w.	PROPN
ejpam-5595	375	9	h.	h.	PROPN
ejpam-5595	375	10	reid	reid	PROPN
ejpam-5595	375	11	.	.	PUNCT
ejpam-5595	376	1	hydrodynamic	hydrodynamic	ADJ
ejpam-5595	376	2	stabilities	stability	NOUN
ejpam-5595	376	3	.	.	PUNCT
ejpam-5595	377	1	cambridge	cambridge	PROPN
ejpam-5595	377	2	university	university	PROPN
ejpam-5595	377	3	press	press	PROPN
ejpam-5595	377	4	,	,	PUNCT
ejpam-5595	377	5	new	new	PROPN
ejpam-5595	377	6	york	york	PROPN
ejpam-5595	377	7	,	,	PUNCT
ejpam-5595	377	8	1981	1981	NUM
ejpam-5595	377	9	.	.	PUNCT
ejpam-5595	378	1	[	[	X
ejpam-5595	378	2	10	10	NUM
ejpam-5595	378	3	]	]	PUNCT
ejpam-5595	378	4	r.	r.	PROPN
ejpam-5595	378	5	z.	z.	PROPN
ejpam-5595	378	6	duan	duan	PROPN
ejpam-5595	378	7	,	,	PUNCT
ejpam-5595	378	8	z.	z.	PROPN
ejpam-5595	378	9	y.	y.	PROPN
ejpam-5595	378	10	wang	wang	PROPN
ejpam-5595	378	11	,	,	PUNCT
ejpam-5595	378	12	z.	z.	PROPN
ejpam-5595	378	13	y.	y.	PROPN
ejpam-5595	378	14	chen	chen	PROPN
ejpam-5595	378	15	,	,	PUNCT
ejpam-5595	378	16	and	and	CCONJ
ejpam-5595	378	17	l.	l.	PROPN
ejpam-5595	378	18	s.	s.	PROPN
ejpam-5595	378	19	liu	liu	PROPN
ejpam-5595	378	20	.	.	PUNCT
ejpam-5595	379	1	two	two	NUM
ejpam-5595	379	2	-	-	PUNCT
ejpam-5595	379	3	dimensional	dimensional	ADJ
ejpam-5595	379	4	temporal	temporal	ADJ
ejpam-5595	379	5	instability	instability	NOUN
ejpam-5595	379	6	of	of	ADP
ejpam-5595	379	7	a	a	DET
ejpam-5595	379	8	viscoelastic	viscoelastic	ADJ
ejpam-5595	379	9	liquid	liquid	ADJ
ejpam-5595	379	10	sheet	sheet	NOUN
ejpam-5595	379	11	of	of	ADP
ejpam-5595	379	12	a	a	DET
ejpam-5595	379	13	parabolic	parabolic	ADJ
ejpam-5595	379	14	velocity	velocity	NOUN
ejpam-5595	379	15	profile	profile	NOUN
ejpam-5595	379	16	.	.	PUNCT
ejpam-5595	380	1	atom	atom	NOUN
ejpam-5595	380	2	.	.	PUNCT
ejpam-5595	381	1	sprays	spray	NOUN
ejpam-5595	381	2	,	,	PUNCT
ejpam-5595	381	3	27:423–438	27:423–438	PROPN
ejpam-5595	381	4	,	,	PUNCT
ejpam-5595	381	5	2017	2017	NUM
ejpam-5595	381	6	.	.	PUNCT
ejpam-5595	382	1	[	[	X
ejpam-5595	382	2	11	11	NUM
ejpam-5595	382	3	]	]	PUNCT
ejpam-5595	382	4	m.	m.	PROPN
ejpam-5595	382	5	f.	f.	PROPN
ejpam-5595	382	6	el	el	PROPN
ejpam-5595	382	7	-	-	PUNCT
ejpam-5595	382	8	sayed	say	VERB
ejpam-5595	382	9	.	.	PUNCT
ejpam-5595	383	1	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-5595	383	2	instability	instability	NOUN
ejpam-5595	383	3	of	of	ADP
ejpam-5595	383	4	two	two	NUM
ejpam-5595	383	5	superposed	superpose	VERB
ejpam-5595	383	6	walters	walters	PROPN
ejpam-5595	383	7	b	b	PROPN
ejpam-5595	383	8	’	'	PUNCT
ejpam-5595	383	9	viscoelastic	viscoelastic	NOUN
ejpam-5595	383	10	fluids	fluid	NOUN
ejpam-5595	383	11	in	in	ADP
ejpam-5595	383	12	relative	relative	ADJ
ejpam-5595	383	13	motion	motion	NOUN
ejpam-5595	383	14	through	through	ADP
ejpam-5595	383	15	porous	porous	ADJ
ejpam-5595	383	16	medium	medium	NOUN
ejpam-5595	383	17	.	.	PUNCT
ejpam-5595	384	1	arch	arch	NOUN
ejpam-5595	384	2	.	.	PUNCT
ejpam-5595	385	1	appl	appl	PROPN
ejpam-5595	385	2	.	.	PROPN
ejpam-5595	385	3	mech	mech	PROPN
ejpam-5595	385	4	,	,	PUNCT
ejpam-5595	385	5	71:717	71:717	PROPN
ejpam-5595	385	6	–	–	PUNCT
ejpam-5595	385	7	732	732	NUM
ejpam-5595	385	8	,	,	PUNCT
ejpam-5595	385	9	2001	2001	NUM
ejpam-5595	385	10	.	.	PUNCT
ejpam-5595	386	1	[	[	X
ejpam-5595	386	2	12	12	NUM
ejpam-5595	386	3	]	]	PUNCT
ejpam-5595	386	4	m.	m.	PROPN
ejpam-5595	386	5	f.	f.	PROPN
ejpam-5595	386	6	el	el	PROPN
ejpam-5595	386	7	-	-	PUNCT
ejpam-5595	386	8	sayed	say	VERB
ejpam-5595	386	9	.	.	PUNCT
ejpam-5595	386	10	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-5595	386	11	instability	instability	NOUN
ejpam-5595	386	12	of	of	ADP
ejpam-5595	386	13	atomization	atomization	NOUN
ejpam-5595	386	14	and	and	CCONJ
ejpam-5595	386	15	rayleigh	rayleigh	ADJ
ejpam-5595	386	16	regimes	regime	NOUN
ejpam-5595	386	17	for	for	ADP
ejpam-5595	386	18	a	a	DET
ejpam-5595	386	19	dielectric	dielectric	ADJ
ejpam-5595	386	20	liquid	liquid	ADJ
ejpam-5595	386	21	jet	jet	NOUN
ejpam-5595	386	22	emanated	emanate	VERB
ejpam-5595	386	23	with	with	ADP
ejpam-5595	386	24	parabolic	parabolic	ADJ
ejpam-5595	386	25	velocity	velocity	NOUN
ejpam-5595	386	26	profile	profile	NOUN
ejpam-5595	386	27	into	into	ADP
ejpam-5595	386	28	a	a	DET
ejpam-5595	386	29	stationary	stationary	ADJ
ejpam-5595	386	30	dielectric	dielectric	ADJ
ejpam-5595	386	31	gas	gas	NOUN
ejpam-5595	386	32	through	through	ADP
ejpam-5595	386	33	porous	porous	ADJ
ejpam-5595	386	34	medium	medium	NOUN
ejpam-5595	386	35	.	.	PUNCT
ejpam-5595	387	1	special	special	ADJ
ejpam-5595	387	2	topics	topic	NOUN
ejpam-5595	387	3	rev	rev	VERB
ejpam-5595	387	4	.	.	PROPN
ejpam-5595	387	5	porous	porous	ADJ
ejpam-5595	387	6	medd	medd	PROPN
ejpam-5595	387	7	,	,	PUNCT
ejpam-5595	387	8	9:329–345	9:329–345	NUM
ejpam-5595	387	9	,	,	PUNCT
ejpam-5595	387	10	2018	2018	NUM
ejpam-5595	387	11	.	.	PUNCT
ejpam-5595	388	1	[	[	X
ejpam-5595	388	2	13	13	NUM
ejpam-5595	388	3	]	]	PUNCT
ejpam-5595	388	4	m.	m.	PROPN
ejpam-5595	388	5	f.	f.	PROPN
ejpam-5595	388	6	el	el	PROPN
ejpam-5595	388	7	-	-	PUNCT
ejpam-5595	388	8	sayed	say	VERB
ejpam-5595	388	9	and	and	CCONJ
ejpam-5595	388	10	a.	a.	NOUN
ejpam-5595	388	11	m.	m.	NOUN
ejpam-5595	388	12	alanzi	alanzi	PROPN
ejpam-5595	388	13	.	.	PUNCT
ejpam-5595	389	1	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-5595	389	2	instability	instability	NOUN
ejpam-5595	389	3	of	of	ADP
ejpam-5595	389	4	atomization	atomization	NOUN
ejpam-5595	389	5	and	and	CCONJ
ejpam-5595	389	6	rayleigh	rayleigh	ADJ
ejpam-5595	389	7	regimes	regime	NOUN
ejpam-5595	389	8	for	for	ADP
ejpam-5595	389	9	a	a	DET
ejpam-5595	389	10	dielectric	dielectric	ADJ
ejpam-5595	389	11	liquid	liquid	ADJ
ejpam-5595	389	12	jet	jet	NOUN
ejpam-5595	389	13	emanated	emanate	VERB
ejpam-5595	389	14	with	with	ADP
ejpam-5595	389	15	parabolic	parabolic	ADJ
ejpam-5595	389	16	velocity	velocity	NOUN
ejpam-5595	389	17	profile	profile	NOUN
ejpam-5595	389	18	into	into	ADP
ejpam-5595	389	19	a	a	DET
ejpam-5595	389	20	stationary	stationary	ADJ
ejpam-5595	389	21	dielectric	dielectric	ADJ
ejpam-5595	389	22	gas	gas	NOUN
ejpam-5595	389	23	through	through	ADP
ejpam-5595	389	24	porous	porous	ADJ
ejpam-5595	389	25	medium	medium	NOUN
ejpam-5595	389	26	.	.	PUNCT
ejpam-5595	389	27	fluids	fluid	NOUN
ejpam-5595	389	28	,	,	PUNCT
ejpam-5595	389	29	7:247	7:247	NUM
ejpam-5595	389	30	,	,	PUNCT
ejpam-5595	389	31	2022	2022	NUM
ejpam-5595	389	32	.	.	PUNCT
ejpam-5595	390	1	m.	m.	PROPN
ejpam-5595	390	2	f.	f.	PROPN
ejpam-5595	390	3	el	el	PROPN
ejpam-5595	390	4	-	-	PUNCT
ejpam-5595	390	5	sayed	sayed	PROPN
ejpam-5595	390	6	,	,	PUNCT
ejpam-5595	390	7	d.	d.	PROPN
ejpam-5595	390	8	m.	m.	PROPN
ejpam-5595	390	9	mostafa	mostafa	PROPN
ejpam-5595	390	10	,	,	PUNCT
ejpam-5595	390	11	a.	a.	PROPN
ejpam-5595	390	12	m.	m.	PROPN
ejpam-5595	390	13	f.	f.	PROPN
ejpam-5595	390	14	alrashdi	alrashdi	PROPN
ejpam-5595	390	15	/	/	SYM
ejpam-5595	390	16	eur	eur	PROPN
ejpam-5595	390	17	.	.	PUNCT
ejpam-5595	391	1	j.	j.	PROPN
ejpam-5595	391	2	pure	pure	PROPN
ejpam-5595	391	3	appl	appl	PROPN
ejpam-5595	391	4	.	.	PROPN
ejpam-5595	391	5	math	math	PROPN
ejpam-5595	391	6	,	,	PUNCT
ejpam-5595	391	7	18	18	NUM
ejpam-5595	391	8	(	(	PUNCT
ejpam-5595	391	9	1	1	NUM
ejpam-5595	391	10	)	)	PUNCT
ejpam-5595	391	11	(	(	PUNCT
ejpam-5595	391	12	2025	2025	NUM
ejpam-5595	391	13	)	)	PUNCT
ejpam-5595	391	14	,	,	PUNCT
ejpam-5595	391	15	5595	5595	NUM
ejpam-5595	391	16	19	19	NUM
ejpam-5595	391	17	of	of	ADP
ejpam-5595	391	18	20	20	NUM
ejpam-5595	392	1	[	[	SYM
ejpam-5595	392	2	14	14	NUM
ejpam-5595	392	3	]	]	PUNCT
ejpam-5595	392	4	m.	m.	PROPN
ejpam-5595	392	5	f.	f.	PROPN
ejpam-5595	392	6	el	el	PROPN
ejpam-5595	392	7	-	-	PUNCT
ejpam-5595	392	8	sayed	say	VERB
ejpam-5595	392	9	,	,	PUNCT
ejpam-5595	392	10	m.	m.	PROPN
ejpam-5595	392	11	f.	f.	PROPN
ejpam-5595	392	12	e.	e.	PROPN
ejpam-5595	392	13	amer	amer	PROPN
ejpam-5595	392	14	,	,	PUNCT
ejpam-5595	392	15	and	and	CCONJ
ejpam-5595	393	1	z.	z.	PROPN
ejpam-5595	393	2	s.	s.	PROPN
ejpam-5595	393	3	alfayzi	alfayzi	PROPN
ejpam-5595	393	4	.	.	PUNCT
ejpam-5595	394	1	electrohydrodynamic	electrohydrodynamic	ADJ
ejpam-5595	394	2	couette	couette	PROPN
ejpam-5595	394	3	–	–	PUNCT
ejpam-5595	394	4	poiseuille	poiseuille	NOUN
ejpam-5595	394	5	flow	flow	NOUN
ejpam-5595	394	6	instability	instability	NOUN
ejpam-5595	394	7	of	of	ADP
ejpam-5595	394	8	two	two	NUM
ejpam-5595	394	9	viscous	viscous	ADJ
ejpam-5595	394	10	conducting	conducting	NOUN
ejpam-5595	394	11	and	and	CCONJ
ejpam-5595	394	12	dielectric	dielectric	ADJ
ejpam-5595	394	13	fluid	fluid	ADJ
ejpam-5595	394	14	layers	layer	NOUN
ejpam-5595	394	15	streaming	stream	VERB
ejpam-5595	394	16	through	through	ADP
ejpam-5595	394	17	brinkman	brinkman	PROPN
ejpam-5595	394	18	porous	porous	ADJ
ejpam-5595	394	19	medium	medium	NOUN
ejpam-5595	394	20	.	.	PUNCT
ejpam-5595	395	1	mathematics	mathematic	NOUN
ejpam-5595	395	2	,	,	PUNCT
ejpam-5595	395	3	11:3281	11:3281	ADV
ejpam-5595	395	4	,	,	PUNCT
ejpam-5595	395	5	2023	2023	NUM
ejpam-5595	395	6	.	.	PUNCT
ejpam-5595	396	1	[	[	X
ejpam-5595	396	2	15	15	NUM
ejpam-5595	396	3	]	]	X
ejpam-5595	396	4	m.	m.	PROPN
ejpam-5595	396	5	f.	f.	PROPN
ejpam-5595	396	6	el	el	PROPN
ejpam-5595	396	7	-	-	PUNCT
ejpam-5595	396	8	sayed	say	VERB
ejpam-5595	396	9	,	,	PUNCT
ejpam-5595	396	10	n.	n.	NOUN
ejpam-5595	396	11	t.	t.	NOUN
ejpam-5595	396	12	eldabe	eldabe	NOUN
ejpam-5595	396	13	,	,	PUNCT
ejpam-5595	396	14	m.	m.	NOUN
ejpam-5595	396	15	h.	h.	PROPN
ejpam-5595	396	16	haroun	haroun	PROPN
ejpam-5595	396	17	,	,	PUNCT
ejpam-5595	396	18	and	and	CCONJ
ejpam-5595	396	19	d.m	d.m	PROPN
ejpam-5595	396	20	.	.	PROPN
ejpam-5595	396	21	mostafa	mostafa	PROPN
ejpam-5595	396	22	.	.	PUNCT
ejpam-5595	397	1	nonlinear	nonlinear	ADJ
ejpam-5595	397	2	electroviscous	electroviscous	ADJ
ejpam-5595	397	3	potential	potential	ADJ
ejpam-5595	397	4	flow	flow	NOUN
ejpam-5595	397	5	instability	instability	NOUN
ejpam-5595	397	6	of	of	ADP
ejpam-5595	397	7	two	two	NUM
ejpam-5595	397	8	superposed	superpose	VERB
ejpam-5595	397	9	couple	couple	NOUN
ejpam-5595	397	10	-	-	PUNCT
ejpam-5595	397	11	stress	stress	NOUN
ejpam-5595	397	12	fluids	fluid	NOUN
ejpam-5595	397	13	streaming	streaming	NOUN
ejpam-5595	397	14	through	through	ADP
ejpam-5595	397	15	porous	porous	ADJ
ejpam-5595	397	16	medium	medium	NOUN
ejpam-5595	397	17	.	.	PUNCT
ejpam-5595	398	1	j.	j.	PROPN
ejpam-5595	398	2	porous	porous	PROPN
ejpam-5595	398	3	med	med	PROPN
ejpam-5595	398	4	.	.	PROPN
ejpam-5595	398	5	,	,	PUNCT
ejpam-5595	399	1	17:405–420	17:405–420	PROPN
ejpam-5595	399	2	,	,	PUNCT
ejpam-5595	399	3	2014	2014	NUM
ejpam-5595	399	4	.	.	PUNCT
ejpam-5595	400	1	[	[	X
ejpam-5595	400	2	16	16	NUM
ejpam-5595	400	3	]	]	PUNCT
ejpam-5595	400	4	m.	m.	PROPN
ejpam-5595	400	5	f.	f.	PROPN
ejpam-5595	400	6	el	el	PROPN
ejpam-5595	400	7	-	-	PUNCT
ejpam-5595	400	8	sayed	sayed	PROPN
ejpam-5595	400	9	,	,	PUNCT
ejpam-5595	400	10	g.	g.	PROPN
ejpam-5595	400	11	m.	m.	PROPN
ejpam-5595	400	12	moatimid	moatimid	PROPN
ejpam-5595	400	13	,	,	PUNCT
ejpam-5595	400	14	f.	f.	PROPN
ejpam-5595	400	15	m.	m.	PROPN
ejpam-5595	400	16	f.	f.	PROPN
ejpam-5595	400	17	elsabaa	elsabaa	PROPN
ejpam-5595	400	18	,	,	PUNCT
ejpam-5595	400	19	and	and	CCONJ
ejpam-5595	400	20	m.	m.	PROPN
ejpam-5595	400	21	f.	f.	PROPN
ejpam-5595	400	22	e.	e.	PROPN
ejpam-5595	400	23	amer	amer	PROPN
ejpam-5595	400	24	.	.	PUNCT
ejpam-5595	401	1	axisymmetric	axisymmetric	ADJ
ejpam-5595	401	2	and	and	CCONJ
ejpam-5595	401	3	asymmetric	asymmetric	ADJ
ejpam-5595	401	4	instabilities	instability	NOUN
ejpam-5595	401	5	of	of	ADP
ejpam-5595	401	6	a	a	DET
ejpam-5595	401	7	non	non	ADJ
ejpam-5595	401	8	-	-	ADJ
ejpam-5595	401	9	newtonian	newtonian	ADJ
ejpam-5595	401	10	liquid	liquid	ADJ
ejpam-5595	401	11	jet	jet	NOUN
ejpam-5595	401	12	moving	move	VERB
ejpam-5595	401	13	in	in	ADP
ejpam-5595	401	14	an	an	DET
ejpam-5595	401	15	inviscid	inviscid	ADJ
ejpam-5595	401	16	gas	gas	NOUN
ejpam-5595	401	17	through	through	ADP
ejpam-5595	401	18	porous	porous	ADJ
ejpam-5595	401	19	media	medium	NOUN
ejpam-5595	401	20	.	.	PUNCT
ejpam-5595	402	1	j.porous	j.porous	ADJ
ejpam-5595	402	2	med	med	PROPN
ejpam-5595	402	3	.	.	PROPN
ejpam-5595	402	4	,	,	PUNCT
ejpam-5595	402	5	19:751–760	19:751–760	NUM
ejpam-5595	402	6	,	,	PUNCT
ejpam-5595	402	7	2016	2016	NUM
ejpam-5595	402	8	.	.	PUNCT
ejpam-5595	403	1	[	[	X
ejpam-5595	403	2	17	17	NUM
ejpam-5595	403	3	]	]	X
ejpam-5595	403	4	r.	r.	PROPN
ejpam-5595	403	5	a.	a.	PROPN
ejpam-5595	403	6	greenkorn	greenkorn	PROPN
ejpam-5595	403	7	.	.	PUNCT
ejpam-5595	404	1	flow	flow	NOUN
ejpam-5595	404	2	phenomena	phenomenon	NOUN
ejpam-5595	404	3	in	in	ADP
ejpam-5595	404	4	porous	porous	ADJ
ejpam-5595	404	5	media	medium	NOUN
ejpam-5595	404	6	:	:	PUNCT
ejpam-5595	404	7	fundamentals	fundamental	NOUN
ejpam-5595	404	8	and	and	CCONJ
ejpam-5595	404	9	applications	application	NOUN
ejpam-5595	404	10	in	in	ADP
ejpam-5595	404	11	petroleum	petroleum	NOUN
ejpam-5595	404	12	,	,	PUNCT
ejpam-5595	404	13	water	water	NOUN
ejpam-5595	404	14	,	,	PUNCT
ejpam-5595	404	15	and	and	CCONJ
ejpam-5595	404	16	food	food	NOUN
ejpam-5595	404	17	production	production	NOUN
ejpam-5595	404	18	.	.	PUNCT
ejpam-5595	405	1	marcel	marcel	PROPN
ejpam-5595	405	2	dekker	dekker	PROPN
ejpam-5595	405	3	,	,	PUNCT
ejpam-5595	405	4	new	new	PROPN
ejpam-5595	405	5	york	york	PROPN
ejpam-5595	405	6	,	,	PUNCT
ejpam-5595	405	7	2023	2023	NUM
ejpam-5595	405	8	.	.	PUNCT
ejpam-5595	406	1	[	[	X
ejpam-5595	406	2	18	18	NUM
ejpam-5595	406	3	]	]	X
ejpam-5595	406	4	e.	e.	PROPN
ejpam-5595	406	5	a.	a.	PROPN
ejpam-5595	406	6	ibrahim	ibrahim	PROPN
ejpam-5595	406	7	.	.	PUNCT
ejpam-5595	407	1	instability	instability	NOUN
ejpam-5595	407	2	of	of	ADP
ejpam-5595	407	3	a	a	DET
ejpam-5595	407	4	liquid	liquid	ADJ
ejpam-5595	407	5	sheet	sheet	NOUN
ejpam-5595	407	6	of	of	ADP
ejpam-5595	407	7	parabolic	parabolic	ADJ
ejpam-5595	407	8	velocity	velocity	NOUN
ejpam-5595	407	9	profile	profile	NOUN
ejpam-5595	407	10	.	.	PUNCT
ejpam-5595	408	1	phys	phy	NOUN
ejpam-5595	408	2	.	.	PUNCT
ejpam-5595	409	1	fluids	fluid	NOUN
ejpam-5595	409	2	,	,	PUNCT
ejpam-5595	409	3	10:1034–1036	10:1034–1036	NUM
ejpam-5595	409	4	,	,	PUNCT
ejpam-5595	409	5	1998	1998	NUM
ejpam-5595	409	6	.	.	PUNCT
ejpam-5595	410	1	[	[	X
ejpam-5595	410	2	19	19	NUM
ejpam-5595	410	3	]	]	PUNCT
ejpam-5595	410	4	e.	e.	PROPN
ejpam-5595	410	5	a.	a.	PROPN
ejpam-5595	410	6	ibrahim	ibrahim	PROPN
ejpam-5595	410	7	and	and	CCONJ
ejpam-5595	410	8	s.	s.	PROPN
ejpam-5595	410	9	q.	q.	PROPN
ejpam-5595	410	10	marshall	marshall	PROPN
ejpam-5595	410	11	.	.	PUNCT
ejpam-5595	411	1	instability	instability	NOUN
ejpam-5595	411	2	of	of	ADP
ejpam-5595	411	3	a	a	DET
ejpam-5595	411	4	liquid	liquid	ADJ
ejpam-5595	411	5	jet	jet	NOUN
ejpam-5595	411	6	of	of	ADP
ejpam-5595	411	7	parabolic	parabolic	ADJ
ejpam-5595	411	8	velocity	velocity	NOUN
ejpam-5595	411	9	profile	profile	NOUN
ejpam-5595	411	10	.	.	PUNCT
ejpam-5595	412	1	chem	chem	NOUN
ejpam-5595	412	2	.	.	PUNCT
ejpam-5595	413	1	eng	eng	PROPN
ejpam-5595	413	2	.	.	PUNCT
ejpam-5595	414	1	sci	sci	PROPN
ejpam-5595	414	2	.	.	PROPN
ejpam-5595	414	3	,	,	PUNCT
ejpam-5595	414	4	76:17–21	76:17–21	PROPN
ejpam-5595	414	5	,	,	PUNCT
ejpam-5595	414	6	2000	2000	NUM
ejpam-5595	414	7	.	.	PUNCT
ejpam-5595	415	1	[	[	X
ejpam-5595	415	2	20	20	NUM
ejpam-5595	415	3	]	]	PUNCT
ejpam-5595	415	4	j.	j.	PROPN
ejpam-5595	415	5	b.	b.	PROPN
ejpam-5595	415	6	keller	keller	PROPN
ejpam-5595	415	7	,	,	PUNCT
ejpam-5595	415	8	s.	s.	PROPN
ejpam-5595	415	9	i.	i.	PROPN
ejpam-5595	415	10	rubinow	rubinow	PROPN
ejpam-5595	415	11	,	,	PUNCT
ejpam-5595	415	12	and	and	CCONJ
ejpam-5595	415	13	y.	y.	PROPN
ejpam-5595	415	14	o.	o.	PROPN
ejpam-5595	415	15	tu	tu	PROPN
ejpam-5595	415	16	.	.	PUNCT
ejpam-5595	416	1	spatial	spatial	ADJ
ejpam-5595	416	2	instability	instability	NOUN
ejpam-5595	416	3	of	of	ADP
ejpam-5595	416	4	a	a	DET
ejpam-5595	416	5	jet	jet	NOUN
ejpam-5595	416	6	.	.	PUNCT
ejpam-5595	417	1	phys	phy	NOUN
ejpam-5595	417	2	.	.	PUNCT
ejpam-5595	418	1	fluids	fluid	NOUN
ejpam-5595	418	2	,	,	PUNCT
ejpam-5595	418	3	16:2052	16:2052	NUM
ejpam-5595	418	4	,	,	PUNCT
ejpam-5595	418	5	1973	1973	NUM
ejpam-5595	418	6	.	.	PUNCT
ejpam-5595	419	1	[	[	X
ejpam-5595	419	2	21	21	NUM
ejpam-5595	419	3	]	]	X
ejpam-5595	419	4	d.	d.	PROPN
ejpam-5595	419	5	koulova	koulova	PROPN
ejpam-5595	419	6	and	and	CCONJ
ejpam-5595	419	7	p.	p.	PROPN
ejpam-5595	419	8	atten	atten	PROPN
ejpam-5595	419	9	.	.	PUNCT
ejpam-5595	420	1	ehd	ehd	VERB
ejpam-5595	420	2	instabilities	instability	NOUN
ejpam-5595	420	3	of	of	ADP
ejpam-5595	420	4	two	two	NUM
ejpam-5595	420	5	layers	layer	NOUN
ejpam-5595	420	6	of	of	ADP
ejpam-5595	420	7	insulating	insulate	VERB
ejpam-5595	420	8	and	and	CCONJ
ejpam-5595	420	9	conducting	conduct	VERB
ejpam-5595	420	10	immiscible	immiscible	ADJ
ejpam-5595	420	11	liquid	liquid	NOUN
ejpam-5595	420	12	subjected	subject	VERB
ejpam-5595	420	13	to	to	ADP
ejpam-5595	420	14	unipolar	unipolar	ADJ
ejpam-5595	420	15	injection	injection	NOUN
ejpam-5595	420	16	.	.	PUNCT
ejpam-5595	421	1	fluids	fluid	NOUN
ejpam-5595	421	2	,	,	PUNCT
ejpam-5595	421	3	9:200	9:200	NUM
ejpam-5595	421	4	,	,	PUNCT
ejpam-5595	421	5	2024	2024	NUM
ejpam-5595	421	6	.	.	PUNCT
ejpam-5595	422	1	[	[	X
ejpam-5595	422	2	22	22	NUM
ejpam-5595	422	3	]	]	PUNCT
ejpam-5595	422	4	j.	j.	PROPN
ejpam-5595	422	5	c.	c.	PROPN
ejpam-5595	422	6	lasheras	lasheras	PROPN
ejpam-5595	422	7	and	and	CCONJ
ejpam-5595	422	8	e.	e.	PROPN
ejpam-5595	422	9	j.	j.	PROPN
ejpam-5595	422	10	hopfinger	hopfinger	PROPN
ejpam-5595	422	11	.	.	PUNCT
ejpam-5595	423	1	liquid	liquid	ADJ
ejpam-5595	423	2	jet	jet	NOUN
ejpam-5595	423	3	instability	instability	NOUN
ejpam-5595	423	4	and	and	CCONJ
ejpam-5595	423	5	atomization	atomization	NOUN
ejpam-5595	423	6	in	in	ADP
ejpam-5595	423	7	a	a	DET
ejpam-5595	423	8	coaxial	coaxial	ADJ
ejpam-5595	423	9	gas	gas	NOUN
ejpam-5595	423	10	stream	stream	NOUN
ejpam-5595	423	11	,	,	PUNCT
ejpam-5595	423	12	ann	ann	PROPN
ejpam-5595	423	13	.	.	PROPN
ejpam-5595	423	14	rev	rev	PROPN
ejpam-5595	423	15	.	.	PROPN
ejpam-5595	423	16	fluid	fluid	ADJ
ejpam-5595	423	17	mech	mech	NOUN
ejpam-5595	423	18	,	,	PUNCT
ejpam-5595	423	19	32:275–308	32:275–308	PROPN
ejpam-5595	423	20	,	,	PUNCT
ejpam-5595	423	21	2000	2000	NUM
ejpam-5595	423	22	.	.	PUNCT
ejpam-5595	424	1	[	[	X
ejpam-5595	424	2	23	23	NUM
ejpam-5595	424	3	]	]	PUNCT
ejpam-5595	424	4	s.	s.	PROPN
ejpam-5595	424	5	j.	j.	PROPN
ejpam-5595	424	6	leib	leib	PROPN
ejpam-5595	424	7	and	and	CCONJ
ejpam-5595	424	8	m.	m.	PROPN
ejpam-5595	424	9	e.	e.	PROPN
ejpam-5595	424	10	goldstein	goldstein	PROPN
ejpam-5595	424	11	.	.	PUNCT
ejpam-5595	425	1	the	the	DET
ejpam-5595	425	2	generation	generation	NOUN
ejpam-5595	425	3	of	of	ADP
ejpam-5595	425	4	capillaty	capillaty	NOUN
ejpam-5595	425	5	instabilities	instability	NOUN
ejpam-5595	425	6	on	on	ADP
ejpam-5595	425	7	a	a	DET
ejpam-5595	425	8	liquid	liquid	ADJ
ejpam-5595	425	9	jet	jet	NOUN
ejpam-5595	425	10	.	.	PUNCT
ejpam-5595	426	1	j.	j.	PROPN
ejpam-5595	426	2	fluid	fluid	PROPN
ejpam-5595	426	3	mech.h	mech.h	PROPN
ejpam-5595	426	4	,	,	PUNCT
ejpam-5595	426	5	168:479–500	168:479–500	NUM
ejpam-5595	426	6	,	,	PUNCT
ejpam-5595	426	7	1986	1986	NUM
ejpam-5595	426	8	.	.	PUNCT
ejpam-5595	427	1	[	[	X
ejpam-5595	427	2	24	24	NUM
ejpam-5595	427	3	]	]	X
ejpam-5595	427	4	f.	f.	PROPN
ejpam-5595	427	5	li	li	PROPN
ejpam-5595	427	6	,	,	PUNCT
ejpam-5595	427	7	xie	xie	PROPN
ejpam-5595	427	8	yuan	yuan	PROPN
ejpam-5595	427	9	yin	yin	PROPN
ejpam-5595	427	10	,	,	PUNCT
ejpam-5595	427	11	and	and	CCONJ
ejpam-5595	427	12	xiezhen	xiezhen	PROPN
ejpam-5595	427	13	yin	yin	PROPN
ejpam-5595	427	14	.	.	PUNCT
ejpam-5595	428	1	axisymmetric	axisymmetric	ADJ
ejpam-5595	428	2	and	and	CCONJ
ejpam-5595	428	3	non	non	ADJ
ejpam-5595	428	4	-	-	ADJ
ejpam-5595	428	5	axisymmetric	axisymmetric	ADJ
ejpam-5595	428	6	instability	instability	NOUN
ejpam-5595	428	7	of	of	ADP
ejpam-5595	428	8	an	an	DET
ejpam-5595	428	9	electrically	electrically	ADV
ejpam-5595	428	10	charged	charge	VERB
ejpam-5595	428	11	viscoelastic	viscoelastic	ADJ
ejpam-5595	428	12	liquid	liquid	ADJ
ejpam-5595	428	13	jet	jet	NOUN
ejpam-5595	428	14	.	.	PUNCT
ejpam-5595	429	1	fuel	fuel	NOUN
ejpam-5595	429	2	energy	energy	NOUN
ejpam-5595	429	3	abst	abst	PROPN
ejpam-5595	429	4	,	,	PUNCT
ejpam-5595	429	5	166:1024–1032	166:1024–1032	NUM
ejpam-5595	429	6	,	,	PUNCT
ejpam-5595	429	7	2011	2011	NUM
ejpam-5595	429	8	.	.	PUNCT
ejpam-5595	430	1	[	[	X
ejpam-5595	430	2	25	25	NUM
ejpam-5595	430	3	]	]	PUNCT
ejpam-5595	430	4	s.	s.	PROPN
ejpam-5595	430	5	p.	p.	PROPN
ejpam-5595	430	6	lin	lin	PROPN
ejpam-5595	430	7	and	and	CCONJ
ejpam-5595	430	8	k.	k.	PROPN
ejpam-5595	430	9	j.	j.	PROPN
ejpam-5595	430	10	ruschak	ruschak	PROPN
ejpam-5595	430	11	.	.	PUNCT
ejpam-5595	431	1	breakup	breakup	NOUN
ejpam-5595	431	2	of	of	ADP
ejpam-5595	431	3	liquid	liquid	ADJ
ejpam-5595	431	4	sheets	sheet	NOUN
ejpam-5595	431	5	and	and	CCONJ
ejpam-5595	431	6	jets	jet	NOUN
ejpam-5595	431	7	.	.	PUNCT
ejpam-5595	432	1	applied	apply	VERB
ejpam-5595	432	2	mechanics	mechanic	NOUN
ejpam-5595	432	3	reviews	review	NOUN
ejpam-5595	432	4	,	,	PUNCT
ejpam-5595	432	5	57	57	NUM
ejpam-5595	432	6	,	,	PUNCT
ejpam-5595	432	7	2004	2004	NUM
ejpam-5595	432	8	.	.	PUNCT
ejpam-5595	433	1	[	[	X
ejpam-5595	433	2	26	26	NUM
ejpam-5595	433	3	]	]	PUNCT
ejpam-5595	433	4	z.	z.	PROPN
ejpam-5595	433	5	liu	liu	PROPN
ejpam-5595	433	6	and	and	CCONJ
ejpam-5595	433	7	z.	z.	PROPN
ejpam-5595	433	8	liu	liu	PROPN
ejpam-5595	433	9	.	.	PUNCT
ejpam-5595	434	1	instability	instability	NOUN
ejpam-5595	434	2	of	of	ADP
ejpam-5595	434	3	viscoelastic	viscoelastic	ADJ
ejpam-5595	434	4	liquid	liquid	ADJ
ejpam-5595	434	5	jet	jet	NOUN
ejpam-5595	434	6	with	with	ADP
ejpam-5595	434	7	axisymmetic	axisymmetic	ADJ
ejpam-5595	434	8	and	and	CCONJ
ejpam-5595	434	9	asymmetric	asymmetric	ADJ
ejpam-5595	434	10	disturbances	disturbance	NOUN
ejpam-5595	434	11	.	.	PUNCT
ejpam-5595	435	1	int	int	NOUN
ejpam-5595	435	2	.	.	PUNCT
ejpam-5595	436	1	j.	j.	PROPN
ejpam-5595	436	2	multiphase	multiphase	PROPN
ejpam-5595	436	3	flow	flow	PROPN
ejpam-5595	436	4	,	,	PUNCT
ejpam-5595	436	5	34:42–60	34:42–60	NUM
ejpam-5595	436	6	,	,	PUNCT
ejpam-5595	436	7	2008	2008	NUM
ejpam-5595	436	8	.	.	PUNCT
ejpam-5595	437	1	[	[	X
ejpam-5595	437	2	27	27	NUM
ejpam-5595	437	3	]	]	PUNCT
ejpam-5595	437	4	j.	j.	PROPN
ejpam-5595	437	5	r.	r.	PROPN
ejpam-5595	437	6	melcher	melcher	PROPN
ejpam-5595	437	7	.	.	PUNCT
ejpam-5595	438	1	continuum	continuum	ADJ
ejpam-5595	438	2	electromechanics	electromechanic	NOUN
ejpam-5595	438	3	.	.	PUNCT
ejpam-5595	439	1	mit	mit	PROPN
ejpam-5595	439	2	press	press	PROPN
ejpam-5595	439	3	,	,	PUNCT
ejpam-5595	439	4	cambridge	cambridge	PROPN
ejpam-5595	439	5	,	,	PUNCT
ejpam-5595	439	6	1981	1981	NUM
ejpam-5595	439	7	.	.	PUNCT
ejpam-5595	440	1	[	[	X
ejpam-5595	440	2	28	28	NUM
ejpam-5595	440	3	]	]	X
ejpam-5595	440	4	t.	t.	PROPN
ejpam-5595	440	5	m.	m.	PROPN
ejpam-5595	440	6	n.	n.	PROPN
ejpam-5595	440	7	metwaly	metwaly	PROPN
ejpam-5595	440	8	and	and	CCONJ
ejpam-5595	440	9	n.	n.	PROPN
ejpam-5595	440	10	m.	m.	PROPN
ejpam-5595	440	11	hafez	hafez	PROPN
ejpam-5595	440	12	.	.	PUNCT
ejpam-5595	441	1	electroviscoelstic	electroviscoelstic	ADJ
ejpam-5595	441	2	stability	stability	NOUN
ejpam-5595	441	3	analysis	analysis	NOUN
ejpam-5595	441	4	of	of	ADP
ejpam-5595	441	5	cylindrical	cylindrical	ADJ
ejpam-5595	441	6	structures	structure	NOUN
ejpam-5595	441	7	in	in	ADP
ejpam-5595	441	8	walters	walters	PROPN
ejpam-5595	441	9	b	b	PROPN
ejpam-5595	441	10	conducting	conducting	NOUN
ejpam-5595	441	11	fluids	fluid	NOUN
ejpam-5595	441	12	streaming	streaming	NOUN
ejpam-5595	441	13	through	through	ADP
ejpam-5595	441	14	porous	porous	ADJ
ejpam-5595	441	15	medium	medium	NOUN
ejpam-5595	441	16	.	.	PUNCT
ejpam-5595	442	1	fluids	fluid	NOUN
ejpam-5595	442	2	,	,	PUNCT
ejpam-5595	442	3	7:224	7:224	NUM
ejpam-5595	442	4	,	,	PUNCT
ejpam-5595	442	5	2022	2022	NUM
ejpam-5595	442	6	.	.	PUNCT
ejpam-5595	443	1	[	[	X
ejpam-5595	443	2	29	29	NUM
ejpam-5595	443	3	]	]	PUNCT
ejpam-5595	443	4	s.	s.	PROPN
ejpam-5595	443	5	middleman	middleman	PROPN
ejpam-5595	443	6	.	.	PUNCT
ejpam-5595	444	1	stability	stability	NOUN
ejpam-5595	444	2	of	of	ADP
ejpam-5595	444	3	a	a	DET
ejpam-5595	444	4	viscoelastic	viscoelastic	ADJ
ejpam-5595	444	5	jet	jet	NOUN
ejpam-5595	444	6	.	.	PUNCT
ejpam-5595	445	1	chem	chem	NOUN
ejpam-5595	445	2	.	.	PUNCT
ejpam-5595	446	1	eng	eng	PROPN
ejpam-5595	446	2	.	.	PUNCT
ejpam-5595	447	1	sci	sci	PROPN
ejpam-5595	447	2	.	.	PROPN
ejpam-5595	447	3	,	,	PUNCT
ejpam-5595	447	4	28:1037–1040	28:1037–1040	NUM
ejpam-5595	447	5	,	,	PUNCT
ejpam-5595	447	6	1965	1965	NUM
ejpam-5595	447	7	.	.	PUNCT
ejpam-5595	448	1	[	[	X
ejpam-5595	448	2	30	30	NUM
ejpam-5595	448	3	]	]	X
ejpam-5595	448	4	d.	d.	PROPN
ejpam-5595	448	5	m.	m.	PROPN
ejpam-5595	448	6	mostafa	mostafa	PROPN
ejpam-5595	448	7	.	.	PUNCT
ejpam-5595	449	1	viscoelastic	viscoelastic	ADJ
ejpam-5595	449	2	potential	potential	ADJ
ejpam-5595	449	3	flow	flow	NOUN
ejpam-5595	449	4	instability	instability	NOUN
ejpam-5595	449	5	theory	theory	NOUN
ejpam-5595	449	6	of	of	ADP
ejpam-5595	449	7	rivlin	rivlin	PROPN
ejpam-5595	449	8	-	-	PUNCT
ejpam-5595	449	9	ericksen	ericksen	ADJ
ejpam-5595	449	10	electrified	electrify	VERB
ejpam-5595	449	11	fluids	fluid	NOUN
ejpam-5595	449	12	of	of	ADP
ejpam-5595	449	13	cylindrical	cylindrical	ADJ
ejpam-5595	449	14	interface	interface	NOUN
ejpam-5595	449	15	.	.	PUNCT
ejpam-5595	450	1	j.	j.	PROPN
ejpam-5595	450	2	ocean	ocean	PROPN
ejpam-5595	450	3	eng	eng	PROPN
ejpam-5595	450	4	.	.	PUNCT
ejpam-5595	451	1	sci	sci	PROPN
ejpam-5595	451	2	.	.	PROPN
ejpam-5595	451	3	,	,	PUNCT
ejpam-5595	451	4	9(4):311–3160	9(4):311–3160	PROPN
ejpam-5595	451	5	,	,	PUNCT
ejpam-5595	451	6	2024	2024	NUM
ejpam-5595	451	7	.	.	PUNCT
ejpam-5595	452	1	[	[	X
ejpam-5595	452	2	31	31	NUM
ejpam-5595	452	3	]	]	PUNCT
ejpam-5595	452	4	s.	s.	PROPN
ejpam-5595	452	5	ozgen	ozgen	PROPN
ejpam-5595	452	6	and	and	CCONJ
ejpam-5595	452	7	o.	o.	PROPN
ejpam-5595	452	8	uzol	uzol	PROPN
ejpam-5595	452	9	.	.	PUNCT
ejpam-5595	453	1	investigation	investigation	NOUN
ejpam-5595	453	2	of	of	ADP
ejpam-5595	453	3	the	the	DET
ejpam-5595	453	4	linear	linear	PROPN
ejpam-5595	453	5	stability	stability	NOUN
ejpam-5595	453	6	problem	problem	NOUN
ejpam-5595	453	7	of	of	ADP
ejpam-5595	453	8	electrified	electrify	VERB
ejpam-5595	453	9	jets	jet	NOUN
ejpam-5595	453	10	:	:	PUNCT
ejpam-5595	453	11	inviscid	inviscid	ADJ
ejpam-5595	453	12	analysis	analysis	NOUN
ejpam-5595	453	13	.	.	PUNCT
ejpam-5595	454	1	j.	j.	PROPN
ejpam-5595	454	2	fluids	fluids	PROPN
ejpam-5595	454	3	eng	eng	PROPN
ejpam-5595	454	4	.	.	PROPN
ejpam-5595	454	5	,	,	PUNCT
ejpam-5595	454	6	134:091201	134:091201	NUM
ejpam-5595	454	7	,	,	PUNCT
ejpam-5595	454	8	2012	2012	NUM
ejpam-5595	454	9	.	.	PUNCT
ejpam-5595	455	1	[	[	X
ejpam-5595	455	2	32	32	NUM
ejpam-5595	455	3	]	]	PUNCT
ejpam-5595	455	4	j.	j.	PROPN
ejpam-5595	455	5	p.	p.	PROPN
ejpam-5595	455	6	pascal	pascal	PROPN
ejpam-5595	455	7	.	.	PUNCT
ejpam-5595	456	1	instability	instability	NOUN
ejpam-5595	456	2	of	of	ADP
ejpam-5595	456	3	power	power	NOUN
ejpam-5595	456	4	-	-	PUNCT
ejpam-5595	456	5	law	law	NOUN
ejpam-5595	456	6	fluid	fluid	NOUN
ejpam-5595	456	7	down	down	ADP
ejpam-5595	456	8	a	a	DET
ejpam-5595	456	9	porous	porous	ADJ
ejpam-5595	456	10	incline	incline	NOUN
ejpam-5595	456	11	.	.	PUNCT
ejpam-5595	457	1	j.	j.	PROPN
ejpam-5595	457	2	non	non	ADJ
ejpam-5595	457	3	-	-	ADJ
ejpam-5595	457	4	newtonian	newtonian	ADJ
ejpam-5595	457	5	fluid	fluid	ADJ
ejpam-5595	457	6	mech	mech	NOUN
ejpam-5595	457	7	.	.	PUNCT
ejpam-5595	457	8	,	,	PUNCT
ejpam-5595	457	9	133:109–120	133:109–120	NUM
ejpam-5595	457	10	,	,	PUNCT
ejpam-5595	457	11	2006	2006	NUM
ejpam-5595	457	12	.	.	PUNCT
ejpam-5595	458	1	[	[	X
ejpam-5595	458	2	33	33	NUM
ejpam-5595	458	3	]	]	PUNCT
ejpam-5595	458	4	c.	c.	PROPN
ejpam-5595	458	5	patrascu	patrascu	PROPN
ejpam-5595	458	6	and	and	CCONJ
ejpam-5595	458	7	c.	c.	PROPN
ejpam-5595	458	8	balan	balan	PROPN
ejpam-5595	458	9	.	.	PUNCT
ejpam-5595	459	1	temporal	temporal	ADJ
ejpam-5595	459	2	instability	instability	NOUN
ejpam-5595	459	3	of	of	ADP
ejpam-5595	459	4	a	a	DET
ejpam-5595	459	5	viscoelastic	viscoelastic	ADJ
ejpam-5595	459	6	liquid	liquid	ADJ
ejpam-5595	459	7	thread	thread	NOUN
ejpam-5595	459	8	in	in	ADP
ejpam-5595	459	9	the	the	DET
ejpam-5595	459	10	presence	presence	NOUN
ejpam-5595	459	11	of	of	ADP
ejpam-5595	459	12	a	a	DET
ejpam-5595	459	13	surrounding	surround	VERB
ejpam-5595	459	14	viscoelastic	viscoelastic	ADJ
ejpam-5595	459	15	fluid	fluid	NOUN
ejpam-5595	459	16	.	.	PUNCT
ejpam-5595	460	1	j.	j.	PROPN
ejpam-5595	460	2	non	non	ADJ
ejpam-5595	460	3	-	-	ADJ
ejpam-5595	460	4	newtonian	newtonian	ADJ
ejpam-5595	460	5	fluid	fluid	ADJ
ejpam-5595	460	6	mech	mech	NOUN
ejpam-5595	460	7	.	.	PUNCT
ejpam-5595	460	8	,	,	PUNCT
ejpam-5595	460	9	261:164	261:164	NOUN
ejpam-5595	460	10	–	–	PUNCT
ejpam-5595	460	11	m.	m.	NOUN
ejpam-5595	460	12	f.	f.	PROPN
ejpam-5595	460	13	el	el	PROPN
ejpam-5595	460	14	-	-	PUNCT
ejpam-5595	460	15	sayed	sayed	PROPN
ejpam-5595	460	16	,	,	PUNCT
ejpam-5595	460	17	d.	d.	PROPN
ejpam-5595	460	18	m.	m.	PROPN
ejpam-5595	460	19	mostafa	mostafa	PROPN
ejpam-5595	460	20	,	,	PUNCT
ejpam-5595	460	21	a.	a.	PROPN
ejpam-5595	460	22	m.	m.	PROPN
ejpam-5595	460	23	f.	f.	PROPN
ejpam-5595	460	24	alrashdi	alrashdi	PROPN
ejpam-5595	460	25	/	/	SYM
ejpam-5595	460	26	eur	eur	PROPN
ejpam-5595	460	27	.	.	PUNCT
ejpam-5595	461	1	j.	j.	PROPN
ejpam-5595	461	2	pure	pure	PROPN
ejpam-5595	461	3	appl	appl	PROPN
ejpam-5595	461	4	.	.	PROPN
ejpam-5595	461	5	math	math	PROPN
ejpam-5595	461	6	,	,	PUNCT
ejpam-5595	461	7	18	18	NUM
ejpam-5595	461	8	(	(	PUNCT
ejpam-5595	461	9	1	1	NUM
ejpam-5595	461	10	)	)	PUNCT
ejpam-5595	461	11	(	(	PUNCT
ejpam-5595	461	12	2025	2025	NUM
ejpam-5595	461	13	)	)	PUNCT
ejpam-5595	461	14	,	,	PUNCT
ejpam-5595	461	15	5595	5595	NUM
ejpam-5595	461	16	20	20	NUM
ejpam-5595	461	17	of	of	ADP
ejpam-5595	461	18	20	20	NUM
ejpam-5595	461	19	170	170	NUM
ejpam-5595	461	20	,	,	PUNCT
ejpam-5595	461	21	2018	2018	NUM
ejpam-5595	461	22	.	.	PUNCT
ejpam-5595	462	1	[	[	X
ejpam-5595	462	2	34	34	NUM
ejpam-5595	462	3	]	]	X
ejpam-5595	462	4	i.	i.	NOUN
ejpam-5595	462	5	pop	pop	PROPN
ejpam-5595	462	6	and	and	CCONJ
ejpam-5595	462	7	d.	d.	PROPN
ejpam-5595	462	8	b.	b.	PROPN
ejpam-5595	462	9	ingham	ingham	PROPN
ejpam-5595	462	10	.	.	PUNCT
ejpam-5595	463	1	convective	convective	ADJ
ejpam-5595	463	2	heat	heat	NOUN
ejpam-5595	463	3	transfer	transfer	NOUN
ejpam-5595	463	4	:	:	PUNCT
ejpam-5595	463	5	mathematical	mathematical	ADJ
ejpam-5595	463	6	and	and	CCONJ
ejpam-5595	463	7	computational	computational	ADJ
ejpam-5595	463	8	modeling	modeling	NOUN
ejpam-5595	463	9	of	of	ADP
ejpam-5595	463	10	viscous	viscous	ADJ
ejpam-5595	463	11	fluids	fluid	NOUN
ejpam-5595	463	12	and	and	CCONJ
ejpam-5595	463	13	porous	porous	ADJ
ejpam-5595	463	14	media	medium	NOUN
ejpam-5595	463	15	.	.	PUNCT
ejpam-5595	464	1	pergamon	pergamon	NOUN
ejpam-5595	464	2	,	,	PUNCT
ejpam-5595	464	3	oxford	oxford	PROPN
ejpam-5595	464	4	,	,	PUNCT
ejpam-5595	464	5	261:164–170	261:164–170	NUM
ejpam-5595	464	6	,	,	PUNCT
ejpam-5595	464	7	2018	2018	NUM
ejpam-5595	464	8	.	.	PUNCT
ejpam-5595	465	1	[	[	X
ejpam-5595	465	2	35	35	NUM
ejpam-5595	465	3	]	]	PUNCT
ejpam-5595	465	4	j.	j.	PROPN
ejpam-5595	465	5	a.	a.	PROPN
ejpam-5595	465	6	del	del	PROPN
ejpam-5595	465	7	rio	rio	PROPN
ejpam-5595	465	8	and	and	CCONJ
ejpam-5595	465	9	s.	s.	PROPN
ejpam-5595	465	10	whitaker	whitaker	PROPN
ejpam-5595	465	11	.	.	PUNCT
ejpam-5595	466	1	electrohydrodynamics	electrohydrodynamic	NOUN
ejpam-5595	466	2	in	in	ADP
ejpam-5595	466	3	porous	porous	ADJ
ejpam-5595	466	4	media	medium	NOUN
ejpam-5595	466	5	.	.	PUNCT
ejpam-5595	467	1	trans	tran	NOUN
ejpam-5595	467	2	.	.	PUNCT
ejpam-5595	467	3	porous	porous	ADJ
ejpam-5595	467	4	med	med	PROPN
ejpam-5595	467	5	,	,	PUNCT
ejpam-5595	467	6	44:385–405	44:385–405	PROPN
ejpam-5595	467	7	,	,	PUNCT
ejpam-5595	467	8	2019	2019	NUM
ejpam-5595	467	9	.	.	PUNCT
ejpam-5595	468	1	[	[	X
ejpam-5595	468	2	36	36	NUM
ejpam-5595	468	3	]	]	X
ejpam-5595	468	4	b.	b.	PROPN
ejpam-5595	468	5	straughan	straughan	PROPN
ejpam-5595	468	6	.	.	PUNCT
ejpam-5595	469	1	stability	stability	NOUN
ejpam-5595	469	2	and	and	CCONJ
ejpam-5595	469	3	wave	wave	NOUN
ejpam-5595	469	4	motion	motion	NOUN
ejpam-5595	469	5	in	in	ADP
ejpam-5595	469	6	porous	porous	ADJ
ejpam-5595	469	7	media	medium	NOUN
ejpam-5595	469	8	,	,	PUNCT
ejpam-5595	469	9	applied	apply	VERB
ejpam-5595	469	10	mathematical	mathematical	ADJ
ejpam-5595	469	11	sciences	science	NOUN
ejpam-5595	469	12	.	.	PUNCT
ejpam-5595	469	13	,	,	PUNCT
ejpam-5595	469	14	volume	volume	NOUN
ejpam-5595	469	15	165	165	NUM
ejpam-5595	469	16	.	.	PUNCT
ejpam-5595	470	1	springer	springer	NOUN
ejpam-5595	470	2	-	-	PUNCT
ejpam-5595	470	3	verlad	verlad	VERB
ejpam-5595	470	4	,	,	PUNCT
ejpam-5595	470	5	new	new	PROPN
ejpam-5595	470	6	york	york	PROPN
ejpam-5595	470	7	,	,	PUNCT
ejpam-5595	470	8	2008	2008	NUM
ejpam-5595	470	9	.	.	PUNCT
ejpam-5595	471	1	[	[	X
ejpam-5595	471	2	37	37	NUM
ejpam-5595	471	3	]	]	X
ejpam-5595	471	4	g.	g.	PROPN
ejpam-5595	471	5	n.	n.	PROPN
ejpam-5595	471	6	watson	watson	PROPN
ejpam-5595	471	7	.	.	PUNCT
ejpam-5595	472	1	a	a	DET
ejpam-5595	472	2	treatise	treatise	NOUN
ejpam-5595	472	3	on	on	ADP
ejpam-5595	472	4	the	the	DET
ejpam-5595	472	5	theory	theory	NOUN
ejpam-5595	472	6	of	of	ADP
ejpam-5595	472	7	bessel	bessel	NOUN
ejpam-5595	472	8	functions	function	NOUN
ejpam-5595	472	9	,	,	PUNCT
ejpam-5595	472	10	2nd	2nd	PROPN
ejpam-5595	472	11	edition	edition	NOUN
ejpam-5595	472	12	.	.	PUNCT
ejpam-5595	472	13	,	,	PUNCT
ejpam-5595	472	14	volume	volume	NOUN
ejpam-5595	472	15	2nd	2nd	PROPN
ejpam-5595	472	16	edition	edition	PROPN
ejpam-5595	472	17	.	.	PUNCT
ejpam-5595	473	1	cambridge	cambridge	PROPN
ejpam-5595	473	2	university	university	PROPN
ejpam-5595	473	3	,	,	PUNCT
ejpam-5595	473	4	new	new	PROPN
ejpam-5595	473	5	york	york	PROPN
ejpam-5595	473	6	,	,	PUNCT
ejpam-5595	473	7	1995	1995	NUM
ejpam-5595	473	8	.	.	PUNCT
ejpam-5595	474	1	[	[	X
ejpam-5595	474	2	38	38	NUM
ejpam-5595	474	3	]	]	PUNCT
ejpam-5595	474	4	l.	l.	PROPN
ejpam-5595	474	5	j.	j.	PROPN
ejpam-5595	474	6	yang	yang	PROPN
ejpam-5595	474	7	,	,	PUNCT
ejpam-5595	474	8	m.	m.	PROPN
ejpam-5595	474	9	l.	l.	PROPN
ejpam-5595	474	10	du	du	PROPN
ejpam-5595	474	11	,	,	PUNCT
ejpam-5595	474	12	q.	q.	PROPN
ejpam-5595	474	13	f.	f.	PROPN
ejpam-5595	474	14	fu	fu	PROPN
ejpam-5595	474	15	,	,	PUNCT
ejpam-5595	474	16	and	and	CCONJ
ejpam-5595	474	17	w.	w.	PROPN
ejpam-5595	474	18	zhang	zhang	PROPN
ejpam-5595	474	19	.	.	PUNCT
ejpam-5595	475	1	linear	linear	PROPN
ejpam-5595	475	2	stability	stability	NOUN
ejpam-5595	475	3	analysis	analysis	NOUN
ejpam-5595	475	4	of	of	ADP
ejpam-5595	475	5	a	a	DET
ejpam-5595	475	6	power	power	NOUN
ejpam-5595	475	7	-	-	PUNCT
ejpam-5595	475	8	law	law	NOUN
ejpam-5595	475	9	liquid	liquid	ADJ
ejpam-5595	475	10	jet	jet	NOUN
ejpam-5595	475	11	.	.	PUNCT
ejpam-5595	476	1	atom	atom	NOUN
ejpam-5595	476	2	.	.	PUNCT
ejpam-5595	477	1	sprays	spray	NOUN
ejpam-5595	477	2	,	,	PUNCT
ejpam-5595	477	3	22:123–141	22:123–141	NUM
ejpam-5595	477	4	,	,	PUNCT
ejpam-5595	477	5	2012	2012	NUM
ejpam-5595	477	6	.	.	PUNCT
ejpam-5595	478	1	[	[	X
ejpam-5595	478	2	39	39	NUM
ejpam-5595	478	3	]	]	PUNCT
ejpam-5595	478	4	l.	l.	PROPN
ejpam-5595	478	5	j.	j.	PROPN
ejpam-5595	478	6	yang	yang	PROPN
ejpam-5595	478	7	,	,	PUNCT
ejpam-5595	478	8	y.	y.	PROPN
ejpam-5595	478	9	x.	x.	PROPN
ejpam-5595	478	10	lin	lin	PROPN
ejpam-5595	478	11	,	,	PUNCT
ejpam-5595	478	12	and	and	CCONJ
ejpam-5595	478	13	q.	q.	PROPN
ejpam-5595	478	14	f.	f.	PROPN
ejpam-5595	478	15	fu	fu	PROPN
ejpam-5595	478	16	.	.	PUNCT
ejpam-5595	479	1	linear	linear	ADJ
ejpam-5595	479	2	stability	stability	NOUN
ejpam-5595	479	3	analysis	analysis	NOUN
ejpam-5595	479	4	of	of	ADP
ejpam-5595	479	5	an	an	DET
ejpam-5595	479	6	electrified	electrify	VERB
ejpam-5595	479	7	viscoelastic	viscoelastic	ADJ
ejpam-5595	479	8	liquid	liquid	ADJ
ejpam-5595	479	9	jet	jet	NOUN
ejpam-5595	479	10	.	.	PUNCT
ejpam-5595	480	1	j.	j.	PROPN
ejpam-5595	480	2	fluids	fluids	PROPN
ejpam-5595	480	3	,	,	PUNCT
ejpam-5595	480	4	eng	eng	PROPN
ejpam-5595	480	5	.	.	PROPN
ejpam-5595	480	6	,	,	PUNCT
ejpam-5595	480	7	134:071303	134:071303	NUM
ejpam-5595	480	8	,	,	PUNCT
ejpam-5595	480	9	2012	2012	NUM
ejpam-5595	480	10	.	.	PUNCT
ejpam-5595	481	1	[	[	X
ejpam-5595	481	2	40	40	NUM
ejpam-5595	481	3	]	]	PUNCT
ejpam-5595	481	4	j.	j.	PROPN
ejpam-5595	481	5	h.	h.	PROPN
ejpam-5595	481	6	yu	yu	PROPN
ejpam-5595	481	7	,	,	PUNCT
ejpam-5595	481	8	s.	s.	PROPN
ejpam-5595	481	9	v.	v.	ADP
ejpam-5595	481	10	fridrikh	fridrikh	ADJ
ejpam-5595	481	11	,	,	PUNCT
ejpam-5595	481	12	and	and	CCONJ
ejpam-5595	481	13	g.	g.	PROPN
ejpam-5595	481	14	c.	c.	PROPN
ejpam-5595	481	15	rutledge	rutledge	PROPN
ejpam-5595	481	16	.	.	PUNCT
ejpam-5595	482	1	the	the	DET
ejpam-5595	482	2	role	role	NOUN
ejpam-5595	482	3	of	of	ADP
ejpam-5595	482	4	elasticity	elasticity	NOUN
ejpam-5595	482	5	in	in	ADP
ejpam-5595	482	6	the	the	DET
ejpam-5595	482	7	formation	formation	NOUN
ejpam-5595	482	8	of	of	ADP
ejpam-5595	482	9	electrospun	electrospun	NOUN
ejpam-5595	482	10	fibers	fiber	NOUN
ejpam-5595	482	11	.	.	PUNCT
ejpam-5595	483	1	polymer	polymer	NOUN
ejpam-5595	483	2	,	,	PUNCT
ejpam-5595	483	3	47:4789–4797	47:4789–4797	NUM
ejpam-5595	483	4	,	,	PUNCT
ejpam-5595	483	5	2006	2006	NUM
ejpam-5595	483	6	.	.	PUNCT