id	sid	tid	token	lemma	pos
iajs-3478	1	1	304	304	NUM
iajs-3478	1	2	©	©	ADP
iajs-3478	1	3	2025	2025	NUM
iajs-3478	1	4	the	the	DET
iajs-3478	1	5	author(s	author(s	NOUN
iajs-3478	1	6	)	)	PUNCT
iajs-3478	1	7	.	.	PUNCT
iajs-3478	2	1	published	publish	VERB
iajs-3478	2	2	by	by	ADP
iajs-3478	2	3	college	college	NOUN
iajs-3478	2	4	of	of	ADP
iajs-3478	2	5	education	education	NOUN
iajs-3478	2	6	for	for	ADP
iajs-3478	2	7	pure	pure	ADJ
iajs-3478	2	8	science	science	NOUN
iajs-3478	2	9	(	(	PUNCT
iajs-3478	2	10	ibn	ibn	PROPN
iajs-3478	2	11	al	al	PROPN
iajs-3478	2	12	-	-	PUNCT
iajs-3478	2	13	haitham	haitham	PROPN
iajs-3478	2	14	)	)	PUNCT
iajs-3478	2	15	,	,	PUNCT
iajs-3478	2	16	university	university	NOUN
iajs-3478	2	17	of	of	ADP
iajs-3478	2	18	baghdad	baghdad	PROPN
iajs-3478	2	19	.	.	PUNCT
iajs-3478	3	1	this	this	PRON
iajs-3478	3	2	is	be	AUX
iajs-3478	3	3	an	an	DET
iajs-3478	3	4	open	open	ADJ
iajs-3478	3	5	-	-	PUNCT
iajs-3478	3	6	access	access	NOUN
iajs-3478	3	7	article	article	NOUN
iajs-3478	3	8	distributed	distribute	VERB
iajs-3478	3	9	under	under	ADP
iajs-3478	3	10	the	the	DET
iajs-3478	3	11	terms	term	NOUN
iajs-3478	3	12	of	of	ADP
iajs-3478	3	13	the	the	DET
iajs-3478	3	14	creative	creative	ADJ
iajs-3478	3	15	commons	common	NOUN
iajs-3478	3	16	attribution	attribution	NOUN
iajs-3478	3	17	4.0	4.0	NUM
iajs-3478	3	18	international	international	ADJ
iajs-3478	3	19	license	license	NOUN
iajs-3478	3	20	analysis	analysis	NOUN
iajs-3478	3	21	of	of	ADP
iajs-3478	3	22	stream	stream	NOUN
iajs-3478	3	23	function	function	NOUN
iajs-3478	3	24	in	in	ADP
iajs-3478	3	25	a	a	DET
iajs-3478	3	26	powell	powell	NOUN
iajs-3478	3	27	-	-	PUNCT
iajs-3478	3	28	eyring	eyre	VERB
iajs-3478	3	29	fluid	fluid	NOUN
iajs-3478	3	30	flow	flow	NOUN
iajs-3478	3	31	with	with	ADP
iajs-3478	3	32	couplestress	couplestress	NOUN
iajs-3478	3	33	effect	effect	NOUN
iajs-3478	3	34	and	and	CCONJ
iajs-3478	3	35	rotation	rotation	PROPN
iajs-3478	3	36	rana	rana	PROPN
iajs-3478	3	37	ghazi	ghazi	PROPN
iajs-3478	3	38	ibraheem	ibraheem	VERB
iajs-3478	4	1	1	1	NUM
iajs-3478	4	2	*	*	PUNCT
iajs-3478	4	3	and	and	CCONJ
iajs-3478	4	4	liqaa	liqaa	PROPN
iajs-3478	4	5	zeki	zeki	PROPN
iajs-3478	4	6	hummady	hummady	VERB
iajs-3478	4	7	2	2	NUM
iajs-3478	4	8	1,2	1,2	NUM
iajs-3478	4	9	department	department	NOUN
iajs-3478	4	10	of	of	ADP
iajs-3478	4	11	mathematics	mathematic	NOUN
iajs-3478	4	12	,	,	PUNCT
iajs-3478	4	13	college	college	NOUN
iajs-3478	4	14	of	of	ADP
iajs-3478	4	15	science	science	NOUN
iajs-3478	4	16	,	,	PUNCT
iajs-3478	4	17	university	university	NOUN
iajs-3478	4	18	of	of	ADP
iajs-3478	4	19	baghdad	baghdad	PROPN
iajs-3478	4	20	,	,	PUNCT
iajs-3478	4	21	baghdad	baghdad	PROPN
iajs-3478	4	22	,	,	PUNCT
iajs-3478	4	23	iraq	iraq	PROPN
iajs-3478	4	24	.	.	PUNCT
iajs-3478	5	1	*	*	PUNCT
iajs-3478	5	2	corresponding	correspond	VERB
iajs-3478	5	3	author	author	NOUN
iajs-3478	5	4	.	.	PUNCT
iajs-3478	6	1	received	receive	VERB
iajs-3478	6	2	:	:	PUNCT
iajs-3478	6	3	8	8	NUM
iajs-3478	6	4	may	may	PROPN
iajs-3478	6	5	2023	2023	NUM
iajs-3478	6	6	accepted	accept	VERB
iajs-3478	6	7	:	:	PUNCT
iajs-3478	6	8	21	21	NUM
iajs-3478	6	9	august	august	PROPN
iajs-3478	6	10	2023	2023	NUM
iajs-3478	6	11	published	publish	VERB
iajs-3478	6	12	:	:	PUNCT
iajs-3478	6	13	20	20	NUM
iajs-3478	6	14	april	april	PROPN
iajs-3478	6	15	2025	2025	NUM
iajs-3478	6	16	doi.org/10.30526/38.2.3478	doi.org/10.30526/38.2.3478	X
iajs-3478	6	17	abstract	abstract	ADJ
iajs-3478	6	18	the	the	DET
iajs-3478	6	19	effect	effect	NOUN
iajs-3478	6	20	of	of	ADP
iajs-3478	6	21	couple	couple	NOUN
iajs-3478	6	22	stress	stress	NOUN
iajs-3478	6	23	,	,	PUNCT
iajs-3478	6	24	slip	slip	VERB
iajs-3478	6	25	condition	condition	NOUN
iajs-3478	6	26	,	,	PUNCT
iajs-3478	6	27	changing	change	VERB
iajs-3478	6	28	rotation	rotation	NOUN
iajs-3478	6	29	,	,	PUNCT
iajs-3478	6	30	and	and	CCONJ
iajs-3478	6	31	other	other	ADJ
iajs-3478	6	32	variables	variable	NOUN
iajs-3478	6	33	on	on	ADP
iajs-3478	6	34	the	the	DET
iajs-3478	6	35	peristaltic	peristaltic	ADJ
iajs-3478	6	36	flow	flow	NOUN
iajs-3478	6	37	of	of	ADP
iajs-3478	6	38	powell	powell	NOUN
iajs-3478	6	39	-	-	PUNCT
iajs-3478	6	40	eyring	eyre	VERB
iajs-3478	6	41	fluid	fluid	NOUN
iajs-3478	6	42	in	in	ADP
iajs-3478	6	43	an	an	DET
iajs-3478	6	44	inclined	inclined	ADJ
iajs-3478	6	45	asymmetric	asymmetric	ADJ
iajs-3478	6	46	channel	channel	NOUN
iajs-3478	6	47	with	with	ADP
iajs-3478	6	48	an	an	DET
iajs-3478	6	49	inclining	inclining	ADJ
iajs-3478	6	50	magnetic	magnetic	ADJ
iajs-3478	6	51	field	field	NOUN
iajs-3478	6	52	through	through	ADP
iajs-3478	6	53	a	a	DET
iajs-3478	6	54	porous	porous	ADJ
iajs-3478	6	55	media	medium	NOUN
iajs-3478	6	56	is	be	AUX
iajs-3478	6	57	investigated	investigate	VERB
iajs-3478	6	58	in	in	ADP
iajs-3478	6	59	this	this	DET
iajs-3478	6	60	study	study	NOUN
iajs-3478	6	61	.	.	PUNCT
iajs-3478	7	1	constitutive	constitutive	ADJ
iajs-3478	7	2	equations	equation	NOUN
iajs-3478	7	3	obeying	obey	VERB
iajs-3478	7	4	the	the	DET
iajs-3478	7	5	powell	powell	NOUN
iajs-3478	7	6	-	-	PUNCT
iajs-3478	7	7	eyring	eyre	VERB
iajs-3478	7	8	fluid	fluid	NOUN
iajs-3478	7	9	model	model	NOUN
iajs-3478	7	10	are	be	AUX
iajs-3478	7	11	employed	employ	VERB
iajs-3478	7	12	.	.	PUNCT
iajs-3478	8	1	in	in	ADP
iajs-3478	8	2	flow	flow	NOUN
iajs-3478	8	3	analysis	analysis	NOUN
iajs-3478	8	4	,	,	PUNCT
iajs-3478	8	5	assumptions	assumption	NOUN
iajs-3478	8	6	such	such	ADJ
iajs-3478	8	7	as	as	ADP
iajs-3478	8	8	a	a	DET
iajs-3478	8	9	low	low	ADJ
iajs-3478	8	10	reynolds	reynold	NOUN
iajs-3478	8	11	number	number	NOUN
iajs-3478	8	12	and	and	CCONJ
iajs-3478	8	13	a	a	DET
iajs-3478	8	14	long	long	ADJ
iajs-3478	8	15	wavelength	wavelength	NOUN
iajs-3478	8	16	approximation	approximation	NOUN
iajs-3478	8	17	are	be	AUX
iajs-3478	8	18	used	use	VERB
iajs-3478	8	19	.	.	PUNCT
iajs-3478	9	1	the	the	DET
iajs-3478	9	2	stream	stream	NOUN
iajs-3478	9	3	function	function	NOUN
iajs-3478	9	4	and	and	CCONJ
iajs-3478	9	5	mechanical	mechanical	ADJ
iajs-3478	9	6	efficiency	efficiency	NOUN
iajs-3478	9	7	have	have	AUX
iajs-3478	9	8	closed	close	VERB
iajs-3478	9	9	form	form	NOUN
iajs-3478	9	10	expressions	expression	NOUN
iajs-3478	9	11	devised	devise	VERB
iajs-3478	9	12	.	.	PUNCT
iajs-3478	10	1	the	the	DET
iajs-3478	10	2	stream	stream	NOUN
iajs-3478	10	3	function	function	NOUN
iajs-3478	10	4	is	be	AUX
iajs-3478	10	5	expressed	express	VERB
iajs-3478	10	6	mathematically	mathematically	ADV
iajs-3478	10	7	.	.	PUNCT
iajs-3478	11	1	through	through	ADP
iajs-3478	11	2	the	the	DET
iajs-3478	11	3	collection	collection	NOUN
iajs-3478	11	4	of	of	ADP
iajs-3478	11	5	figures	figure	NOUN
iajs-3478	11	6	,	,	PUNCT
iajs-3478	11	7	the	the	DET
iajs-3478	11	8	impact	impact	NOUN
iajs-3478	11	9	of	of	ADP
iajs-3478	11	10	various	various	ADJ
iajs-3478	11	11	criteria	criterion	NOUN
iajs-3478	11	12	is	be	AUX
iajs-3478	11	13	explained	explain	VERB
iajs-3478	11	14	and	and	CCONJ
iajs-3478	11	15	graphically	graphically	ADV
iajs-3478	11	16	represented	represent	VERB
iajs-3478	11	17	through	through	ADP
iajs-3478	11	18	the	the	DET
iajs-3478	11	19	collection	collection	NOUN
iajs-3478	11	20	of	of	ADP
iajs-3478	11	21	figures	figure	NOUN
iajs-3478	11	22	,	,	PUNCT
iajs-3478	11	23	the	the	DET
iajs-3478	11	24	impact	impact	NOUN
iajs-3478	11	25	has	have	AUX
iajs-3478	11	26	been	be	AUX
iajs-3478	11	27	explained	explain	VERB
iajs-3478	11	28	of	of	ADP
iajs-3478	11	29	the	the	DET
iajs-3478	11	30	hartman	hartman	PROPN
iajs-3478	11	31	number	number	NOUN
iajs-3478	11	32	(	(	PUNCT
iajs-3478	11	33	ha	ha	INTJ
iajs-3478	11	34	)	)	PUNCT
iajs-3478	11	35	,	,	PUNCT
iajs-3478	11	36	the	the	DET
iajs-3478	11	37	darcy	darcy	PROPN
iajs-3478	11	38	number	number	NOUN
iajs-3478	11	39	(	(	PUNCT
iajs-3478	11	40	da	da	NOUN
iajs-3478	11	41	)	)	PUNCT
iajs-3478	11	42	,	,	PUNCT
iajs-3478	11	43	the	the	DET
iajs-3478	11	44	inclination	inclination	NOUN
iajs-3478	11	45	of	of	ADP
iajs-3478	11	46	the	the	DET
iajs-3478	11	47	magnetic	magnetic	ADJ
iajs-3478	11	48	field	field	NOUN
iajs-3478	11	49	(	(	PUNCT
iajs-3478	11	50	β	β	NOUN
iajs-3478	11	51	)	)	PUNCT
iajs-3478	11	52	,	,	PUNCT
iajs-3478	11	53	the	the	DET
iajs-3478	11	54	rotation	rotation	NOUN
iajs-3478	11	55	(	(	PUNCT
iajs-3478	11	56	ω	ω	NOUN
iajs-3478	11	57	)	)	PUNCT
iajs-3478	11	58	,	,	PUNCT
iajs-3478	11	59	the	the	DET
iajs-3478	11	60	porous	porous	ADJ
iajs-3478	11	61	medium	medium	NOUN
iajs-3478	11	62	parameter	parameter	NOUN
iajs-3478	11	63	(	(	PUNCT
iajs-3478	11	64	w	w	NOUN
iajs-3478	11	65	)	)	PUNCT
iajs-3478	11	66	,	,	PUNCT
iajs-3478	11	67	the	the	DET
iajs-3478	11	68	amplitude	amplitude	NOUN
iajs-3478	11	69	ratio	ratio	NOUN
iajs-3478	11	70	(	(	PUNCT
iajs-3478	11	71	ϕ	ϕ	NOUN
iajs-3478	11	72	)	)	PUNCT
iajs-3478	11	73	,	,	PUNCT
iajs-3478	11	74	the	the	DET
iajs-3478	11	75	slip	slip	NOUN
iajs-3478	11	76	condition	condition	NOUN
iajs-3478	11	77	(	(	PUNCT
iajs-3478	11	78	𝛽1	𝛽1	NOUN
iajs-3478	11	79	)	)	PUNCT
iajs-3478	11	80	,	,	PUNCT
iajs-3478	11	81	and	and	CCONJ
iajs-3478	11	82	couple	couple	NOUN
iajs-3478	11	83	stress	stress	NOUN
iajs-3478	11	84	parameter	parameter	NOUN
iajs-3478	11	85	(	(	PUNCT
iajs-3478	11	86	𝛼	𝛼	NOUN
iajs-3478	11	87	)	)	PUNCT
iajs-3478	11	88	on	on	ADP
iajs-3478	11	89	stream	stream	NOUN
iajs-3478	11	90	function	function	NOUN
iajs-3478	11	91	have	have	AUX
iajs-3478	11	92	been	be	AUX
iajs-3478	11	93	explained	explain	VERB
iajs-3478	11	94	and	and	CCONJ
iajs-3478	11	95	graphically	graphically	ADV
iajs-3478	11	96	represented	represent	VERB
iajs-3478	11	97	by	by	ADP
iajs-3478	11	98	using	use	VERB
iajs-3478	11	99	the	the	DET
iajs-3478	11	100	perturbation	perturbation	NOUN
iajs-3478	11	101	method	method	NOUN
iajs-3478	11	102	which	which	PRON
iajs-3478	11	103	is	be	AUX
iajs-3478	11	104	analytic	analytic	ADJ
iajs-3478	11	105	method	method	NOUN
iajs-3478	11	106	.	.	PUNCT
iajs-3478	12	1	these	these	DET
iajs-3478	12	2	numerical	numerical	ADJ
iajs-3478	12	3	results	result	NOUN
iajs-3478	12	4	were	be	AUX
iajs-3478	12	5	achieved	achieve	VERB
iajs-3478	12	6	using	use	VERB
iajs-3478	12	7	the	the	DET
iajs-3478	12	8	mathematical	mathematical	ADJ
iajs-3478	12	9	application	application	NOUN
iajs-3478	12	10	mathematica	mathematica	PROPN
iajs-3478	12	11	.	.	PUNCT
iajs-3478	13	1	keywords	keyword	NOUN
iajs-3478	13	2	:	:	PUNCT
iajs-3478	13	3	couple	couple	NOUN
iajs-3478	13	4	stress	stress	NOUN
iajs-3478	13	5	,	,	PUNCT
iajs-3478	13	6	magnetic	magnetic	ADJ
iajs-3478	13	7	felid	felid	NOUN
iajs-3478	13	8	,	,	PUNCT
iajs-3478	13	9	peristaltic	peristaltic	ADJ
iajs-3478	13	10	flow	flow	NOUN
iajs-3478	13	11	,	,	PUNCT
iajs-3478	13	12	porous	porous	ADJ
iajs-3478	13	13	medium	medium	NOUN
iajs-3478	13	14	,	,	PUNCT
iajs-3478	13	15	powelleyring	powelleyre	VERB
iajs-3478	13	16	fluid	fluid	NOUN
iajs-3478	13	17	.	.	PUNCT
iajs-3478	14	1	1	1	X
iajs-3478	14	2	.	.	X
iajs-3478	14	3	introduction	introduction	NOUN
iajs-3478	14	4	peristaltic	peristaltic	ADJ
iajs-3478	14	5	pumping	pumping	NOUN
iajs-3478	14	6	is	be	AUX
iajs-3478	14	7	a	a	DET
iajs-3478	14	8	particular	particular	ADJ
iajs-3478	14	9	type	type	NOUN
iajs-3478	14	10	of	of	ADP
iajs-3478	14	11	pumping	pumping	NOUN
iajs-3478	14	12	that	that	PRON
iajs-3478	14	13	occurs	occur	VERB
iajs-3478	14	14	when	when	SCONJ
iajs-3478	14	15	a	a	DET
iajs-3478	14	16	variety	variety	NOUN
iajs-3478	14	17	of	of	ADP
iajs-3478	14	18	complex	complex	ADJ
iajs-3478	14	19	rheological	rheological	ADJ
iajs-3478	14	20	fluids	fluid	NOUN
iajs-3478	14	21	may	may	AUX
iajs-3478	14	22	be	be	AUX
iajs-3478	14	23	easily	easily	ADV
iajs-3478	14	24	transferred	transfer	VERB
iajs-3478	14	25	between	between	ADP
iajs-3478	14	26	two	two	NUM
iajs-3478	14	27	locations	location	NOUN
iajs-3478	14	28	.	.	PUNCT
iajs-3478	15	1	the	the	DET
iajs-3478	15	2	term	term	NOUN
iajs-3478	15	3	"	"	PUNCT
iajs-3478	15	4	peristaltic	peristaltic	ADJ
iajs-3478	15	5	"	"	PUNCT
iajs-3478	15	6	refers	refer	VERB
iajs-3478	15	7	to	to	ADP
iajs-3478	15	8	this	this	DET
iajs-3478	15	9	method	method	NOUN
iajs-3478	15	10	of	of	ADP
iajs-3478	15	11	pumping	pumping	NOUN
iajs-3478	15	12	.	.	PUNCT
iajs-3478	16	1	the	the	DET
iajs-3478	16	2	ducts	duct	NOUN
iajs-3478	16	3	through	through	ADP
iajs-3478	16	4	which	which	PRON
iajs-3478	16	5	the	the	DET
iajs-3478	16	6	fluid	fluid	NOUN
iajs-3478	16	7	passes	pass	VERB
iajs-3478	16	8	undergo	undergo	VERB
iajs-3478	16	9	intermittent	intermittent	ADJ
iajs-3478	16	10	involuntary	involuntary	ADJ
iajs-3478	16	11	constriction	constriction	NOUN
iajs-3478	16	12	and	and	CCONJ
iajs-3478	16	13	then	then	ADV
iajs-3478	16	14	expand	expand	VERB
iajs-3478	16	15	.	.	PUNCT
iajs-3478	17	1	as	as	ADP
iajs-3478	17	2	a	a	DET
iajs-3478	17	3	result	result	NOUN
iajs-3478	17	4	,	,	PUNCT
iajs-3478	17	5	the	the	DET
iajs-3478	17	6	pressure	pressure	NOUN
iajs-3478	17	7	gradient	gradient	NOUN
iajs-3478	17	8	rises	rise	NOUN
iajs-3478	17	9	,	,	PUNCT
iajs-3478	17	10	causing	cause	VERB
iajs-3478	17	11	the	the	DET
iajs-3478	17	12	fluid	fluid	NOUN
iajs-3478	17	13	to	to	PART
iajs-3478	17	14	move	move	VERB
iajs-3478	17	15	forward	forward	ADV
iajs-3478	17	16	.	.	PUNCT
iajs-3478	18	1	after	after	ADP
iajs-3478	18	2	latham	latham	PROPN
iajs-3478	18	3	's	's	PART
iajs-3478	18	4	groundbreaking	groundbreaking	ADJ
iajs-3478	18	5	work(1	work(1	NOUN
iajs-3478	18	6	)	)	PUNCT
iajs-3478	18	7	and	and	CCONJ
iajs-3478	18	8	because	because	SCONJ
iajs-3478	18	9	it	it	PRON
iajs-3478	18	10	is	be	AUX
iajs-3478	18	11	utilized	utilize	VERB
iajs-3478	18	12	in	in	ADP
iajs-3478	18	13	biological	biological	ADJ
iajs-3478	18	14	,	,	PUNCT
iajs-3478	18	15	engineering	engineering	NOUN
iajs-3478	18	16	,	,	PUNCT
iajs-3478	18	17	and	and	CCONJ
iajs-3478	18	18	physiological	physiological	ADJ
iajs-3478	18	19	systems	system	NOUN
iajs-3478	18	20	academics	academic	NOUN
iajs-3478	18	21	have	have	AUX
iajs-3478	18	22	become	become	VERB
iajs-3478	18	23	increasingly	increasingly	ADV
iajs-3478	18	24	interested	interested	ADJ
iajs-3478	18	25	in	in	ADP
iajs-3478	18	26	the	the	DET
iajs-3478	18	27	different	different	ADJ
iajs-3478	18	28	applications	application	NOUN
iajs-3478	18	29	of	of	ADP
iajs-3478	18	30	peristalsis	peristalsis	NOUN
iajs-3478	18	31	.	.	PUNCT
iajs-3478	19	1	because	because	SCONJ
iajs-3478	19	2	it	it	PRON
iajs-3478	19	3	is	be	AUX
iajs-3478	19	4	utilized	utilize	VERB
iajs-3478	19	5	in	in	ADP
iajs-3478	19	6	biological	biological	ADJ
iajs-3478	19	7	,	,	PUNCT
iajs-3478	19	8	engineering	engineering	NOUN
iajs-3478	19	9	,	,	PUNCT
iajs-3478	19	10	and	and	CCONJ
iajs-3478	19	11	physiological	physiological	ADJ
iajs-3478	19	12	systems	system	NOUN
iajs-3478	19	13	,	,	PUNCT
iajs-3478	19	14	peristaltic	peristaltic	ADJ
iajs-3478	19	15	transport	transport	NOUN
iajs-3478	19	16	has	have	AUX
iajs-3478	19	17	received	receive	VERB
iajs-3478	19	18	significant	significant	ADJ
iajs-3478	19	19	attention	attention	NOUN
iajs-3478	19	20	in	in	ADP
iajs-3478	19	21	recent	recent	ADJ
iajs-3478	19	22	years	year	NOUN
iajs-3478	19	23	.	.	PUNCT
iajs-3478	20	1	generally	generally	ADV
iajs-3478	20	2	,	,	PUNCT
iajs-3478	20	3	the	the	DET
iajs-3478	20	4	peristaltic	peristaltic	ADJ
iajs-3478	20	5	wave	wave	NOUN
iajs-3478	20	6	’s	’s	PART
iajs-3478	20	7	circular	circular	ADJ
iajs-3478	20	8	contractions	contraction	NOUN
iajs-3478	20	9	and	and	CCONJ
iajs-3478	20	10	the	the	DET
iajs-3478	20	11	successive	successive	ADJ
iajs-3478	20	12	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3478	20	13	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
iajs-3478	20	14	https://orcid.org/0000-0002-6764-2003‎	https://orcid.org/0000-0002-6764-2003‎	PROPN
iajs-3478	20	15	mailto	mailto	X
iajs-3478	20	16	:	:	PUNCT
iajs-3478	20	17	rana.ghazi1103a@cs.uobaghdad.edu.iq‎	rana.ghazi1103a@cs.uobaghdad.edu.iq‎	X
iajs-3478	20	18	https://orcid.org/0000-0001-8236-4120‎	https://orcid.org/0000-0001-8236-4120‎	NUM
iajs-3478	20	19	mailto:‎liqqa.hummady@sc.uobaghdad.edu.iq	mailto:‎liqqa.hummady@sc.uobaghdad.edu.iq	ADJ
iajs-3478	20	20	ihjpas	ihjpa	NOUN
iajs-3478	20	21	.	.	PUNCT
iajs-3478	21	1	2025	2025	NUM
iajs-3478	21	2	,	,	PUNCT
iajs-3478	21	3	38(2	38(2	NUM
iajs-3478	21	4	)	)	PUNCT
iajs-3478	21	5	305	305	NUM
iajs-3478	21	6	longitudinal	longitudinal	ADJ
iajs-3478	21	7	contractions	contraction	NOUN
iajs-3478	21	8	that	that	PRON
iajs-3478	21	9	occur	occur	VERB
iajs-3478	21	10	during	during	ADP
iajs-3478	21	11	peristalsis	peristalsis	NOUN
iajs-3478	21	12	are	be	AUX
iajs-3478	21	13	generated	generate	VERB
iajs-3478	21	14	by	by	ADP
iajs-3478	21	15	the	the	DET
iajs-3478	21	16	sinuses	sinus	NOUN
iajs-3478	21	17	which	which	PRON
iajs-3478	21	18	propagate	propagate	VERB
iajs-3478	21	19	along	along	ADP
iajs-3478	21	20	the	the	DET
iajs-3478	21	21	fluid	fluid	NOUN
iajs-3478	21	22	-	-	PUNCT
iajs-3478	21	23	containing	contain	VERB
iajs-3478	21	24	duct	duct	NOUN
iajs-3478	21	25	.	.	PUNCT
iajs-3478	22	1	this	this	DET
iajs-3478	22	2	technique	technique	NOUN
iajs-3478	22	3	is	be	AUX
iajs-3478	22	4	the	the	DET
iajs-3478	22	5	basis	basis	NOUN
iajs-3478	22	6	for	for	ADP
iajs-3478	22	7	several	several	ADJ
iajs-3478	22	8	muscular	muscular	ADJ
iajs-3478	22	9	tubes	tube	NOUN
iajs-3478	22	10	,	,	PUNCT
iajs-3478	22	11	including	include	VERB
iajs-3478	22	12	the	the	DET
iajs-3478	22	13	gastrointestinal	gastrointestinal	ADJ
iajs-3478	22	14	tract	tract	NOUN
iajs-3478	22	15	,	,	PUNCT
iajs-3478	22	16	fallopian	fallopian	ADJ
iajs-3478	22	17	tubes	tube	NOUN
iajs-3478	22	18	,	,	PUNCT
iajs-3478	22	19	bile	bile	NOUN
iajs-3478	22	20	ducts	duct	NOUN
iajs-3478	22	21	,	,	PUNCT
iajs-3478	22	22	ureters	ureter	NOUN
iajs-3478	22	23	,	,	PUNCT
iajs-3478	22	24	esophageal	esophageal	ADJ
iajs-3478	22	25	tubes	tube	NOUN
iajs-3478	22	26	,	,	PUNCT
iajs-3478	22	27	and	and	CCONJ
iajs-3478	22	28	others	other	NOUN
iajs-3478	22	29	.	.	PUNCT
iajs-3478	23	1	peristalsis	peristalsis	NOUN
iajs-3478	23	2	is	be	AUX
iajs-3478	23	3	used	use	VERB
iajs-3478	23	4	as	as	ADP
iajs-3478	23	5	the	the	DET
iajs-3478	23	6	basis	basis	NOUN
iajs-3478	23	7	for	for	ADP
iajs-3478	23	8	the	the	DET
iajs-3478	23	9	creation	creation	NOUN
iajs-3478	23	10	of	of	ADP
iajs-3478	23	11	devices	device	NOUN
iajs-3478	23	12	such	such	ADJ
iajs-3478	23	13	as	as	ADP
iajs-3478	23	14	peristaltic	peristaltic	ADJ
iajs-3478	23	15	pumps	pump	NOUN
iajs-3478	23	16	,	,	PUNCT
iajs-3478	23	17	roller	roller	NOUN
iajs-3478	23	18	pumps	pump	NOUN
iajs-3478	23	19	,	,	PUNCT
iajs-3478	23	20	hose	hose	NOUN
iajs-3478	23	21	pumps	pump	NOUN
iajs-3478	23	22	,	,	PUNCT
iajs-3478	23	23	tube	tube	NOUN
iajs-3478	23	24	pumps	pump	NOUN
iajs-3478	23	25	,	,	PUNCT
iajs-3478	23	26	finger	finger	NOUN
iajs-3478	23	27	pumps	pump	NOUN
iajs-3478	23	28	,	,	PUNCT
iajs-3478	23	29	heart	heart	NOUN
iajs-3478	23	30	-	-	PUNCT
iajs-3478	23	31	lung	lung	NOUN
iajs-3478	23	32	machines	machine	NOUN
iajs-3478	23	33	,	,	PUNCT
iajs-3478	23	34	blood	blood	NOUN
iajs-3478	23	35	pump	pump	NOUN
iajs-3478	23	36	machines	machine	NOUN
iajs-3478	23	37	,	,	PUNCT
iajs-3478	23	38	and	and	CCONJ
iajs-3478	23	39	dialysis	dialysis	NOUN
iajs-3478	23	40	machines	machine	NOUN
iajs-3478	23	41	.	.	PUNCT
iajs-3478	24	1	these	these	DET
iajs-3478	24	2	applications	application	NOUN
iajs-3478	24	3	include	include	VERB
iajs-3478	24	4	the	the	DET
iajs-3478	24	5	transportation	transportation	NOUN
iajs-3478	24	6	of	of	ADP
iajs-3478	24	7	aggressive	aggressive	ADJ
iajs-3478	24	8	chemicals	chemical	NOUN
iajs-3478	24	9	,	,	PUNCT
iajs-3478	24	10	high	high	ADJ
iajs-3478	24	11	solid	solid	ADJ
iajs-3478	24	12	slurries	slurry	NOUN
iajs-3478	24	13	,	,	PUNCT
iajs-3478	24	14	toxic	toxic	ADJ
iajs-3478	24	15	(	(	PUNCT
iajs-3478	24	16	nuclear	nuclear	ADJ
iajs-3478	24	17	industries	industry	NOUN
iajs-3478	24	18	)	)	PUNCT
iajs-3478	24	19	,	,	PUNCT
iajs-3478	24	20	and	and	CCONJ
iajs-3478	24	21	other	other	ADJ
iajs-3478	24	22	materials	material	NOUN
iajs-3478	24	23	.	.	PUNCT
iajs-3478	25	1	moreover	moreover	ADV
iajs-3478	25	2	,	,	PUNCT
iajs-3478	25	3	non	non	ADJ
iajs-3478	25	4	-	-	ADJ
iajs-3478	25	5	newtonian	newtonian	ADJ
iajs-3478	25	6	fluids	fluid	NOUN
iajs-3478	25	7	are	be	AUX
iajs-3478	25	8	better	well	ADJ
iajs-3478	25	9	than	than	ADP
iajs-3478	25	10	numerous	numerous	ADJ
iajs-3478	25	11	industrial	industrial	ADJ
iajs-3478	25	12	and	and	CCONJ
iajs-3478	25	13	physiological	physiological	ADJ
iajs-3478	25	14	processes	process	NOUN
iajs-3478	25	15	that	that	PRON
iajs-3478	25	16	use	use	VERB
iajs-3478	25	17	newtonian	newtonian	ADJ
iajs-3478	25	18	fluids	fluid	NOUN
iajs-3478	25	19	.	.	PUNCT
iajs-3478	26	1	among	among	ADP
iajs-3478	26	2	the	the	DET
iajs-3478	26	3	models	model	NOUN
iajs-3478	26	4	of	of	ADP
iajs-3478	26	5	non	non	ADJ
iajs-3478	26	6	-	-	ADJ
iajs-3478	26	7	newtonian	newtonian	ADJ
iajs-3478	26	8	fluids	fluid	NOUN
iajs-3478	26	9	(	(	PUNCT
iajs-3478	26	10	which	which	PRON
iajs-3478	26	11	can	can	AUX
iajs-3478	26	12	exhibit	exhibit	VERB
iajs-3478	26	13	various	various	ADJ
iajs-3478	26	14	rheological	rheological	ADJ
iajs-3478	26	15	effects	effect	NOUN
iajs-3478	26	16	)	)	PUNCT
iajs-3478	26	17	,	,	PUNCT
iajs-3478	26	18	that	that	PRON
iajs-3478	26	19	can	can	AUX
iajs-3478	26	20	be	be	AUX
iajs-3478	26	21	accessed	access	VERB
iajs-3478	26	22	is	be	AUX
iajs-3478	26	23	powelleyring	powelleyre	VERB
iajs-3478	26	24	fluid	fluid	NOUN
iajs-3478	26	25	.	.	PUNCT
iajs-3478	27	1	although	although	SCONJ
iajs-3478	27	2	this	this	DET
iajs-3478	27	3	model	model	NOUN
iajs-3478	27	4	is	be	AUX
iajs-3478	27	5	more	more	ADV
iajs-3478	27	6	difficult	difficult	ADJ
iajs-3478	27	7	mathematically	mathematically	ADV
iajs-3478	27	8	than	than	ADP
iajs-3478	27	9	models	model	NOUN
iajs-3478	27	10	of	of	ADP
iajs-3478	27	11	non	non	ADJ
iajs-3478	27	12	-	-	ADJ
iajs-3478	27	13	newtonian	newtonian	ADJ
iajs-3478	27	14	fluids	fluid	NOUN
iajs-3478	27	15	,	,	PUNCT
iajs-3478	27	16	it	it	PRON
iajs-3478	27	17	deserves	deserve	VERB
iajs-3478	27	18	more	more	ADJ
iajs-3478	27	19	attention	attention	NOUN
iajs-3478	27	20	because	because	SCONJ
iajs-3478	27	21	of	of	ADP
iajs-3478	27	22	its	its	PRON
iajs-3478	27	23	distinct	distinct	ADJ
iajs-3478	27	24	benefits	benefit	NOUN
iajs-3478	27	25	.	.	PUNCT
iajs-3478	28	1	numerous	numerous	ADJ
iajs-3478	28	2	researchers	researcher	NOUN
iajs-3478	28	3	have	have	AUX
iajs-3478	28	4	been	be	AUX
iajs-3478	28	5	interested	interested	ADJ
iajs-3478	28	6	in	in	ADP
iajs-3478	28	7	the	the	DET
iajs-3478	28	8	powell	powell	NOUN
iajs-3478	28	9	-	-	PUNCT
iajs-3478	28	10	eyring	eyre	VERB
iajs-3478	28	11	fluid	fluid	NOUN
iajs-3478	28	12	's	's	PART
iajs-3478	28	13	peristaltic	peristaltic	ADJ
iajs-3478	28	14	flow	flow	NOUN
iajs-3478	28	15	mechanism	mechanism	NOUN
iajs-3478	28	16	since	since	SCONJ
iajs-3478	28	17	it	it	PRON
iajs-3478	28	18	was	be	AUX
iajs-3478	28	19	studied	study	VERB
iajs-3478	28	20	by	by	ADP
iajs-3478	28	21	hina	hina	PROPN
iajs-3478	28	22	and	and	CCONJ
iajs-3478	28	23	mustafa	mustafa	PROPN
iajs-3478	28	24	and	and	CCONJ
iajs-3478	28	25	hayat	hayat	PROPN
iajs-3478	28	26	and	and	CCONJ
iajs-3478	28	27	alsaedi	alsaedi	PROPN
iajs-3478	28	28	(	(	PUNCT
iajs-3478	28	29	2	2	NUM
iajs-3478	28	30	)	)	PUNCT
iajs-3478	28	31	,	,	PUNCT
iajs-3478	28	32	hayat	hayat	NOUN
iajs-3478	28	33	and	and	CCONJ
iajs-3478	28	34	naseema	naseema	NOUN
iajs-3478	28	35	and	and	CCONJ
iajs-3478	28	36	rafiq	rafiq	PROPN
iajs-3478	28	37	and	and	CCONJ
iajs-3478	28	38	fua	fua	PROPN
iajs-3478	28	39	(	(	PUNCT
iajs-3478	28	40	3	3	NUM
iajs-3478	28	41	)	)	PUNCT
iajs-3478	28	42	,	,	PUNCT
iajs-3478	28	43	hayat	hayat	PROPN
iajs-3478	28	44	and	and	CCONJ
iajs-3478	28	45	ahmed	ahmed	PROPN
iajs-3478	28	46	(	(	PUNCT
iajs-3478	28	47	4	4	NUM
iajs-3478	28	48	)	)	PUNCT
iajs-3478	28	49	,	,	PUNCT
iajs-3478	28	50	hussain	hussain	PROPN
iajs-3478	28	51	and	and	CCONJ
iajs-3478	28	52	alvi	alvi	PROPN
iajs-3478	28	53	and	and	CCONJ
iajs-3478	28	54	latif	latif	PROPN
iajs-3478	28	55	and	and	CCONJ
iajs-3478	28	56	asghar	asghar	PROPN
iajs-3478	28	57	(	(	PUNCT
iajs-3478	28	58	5	5	NUM
iajs-3478	28	59	)	)	PUNCT
iajs-3478	28	60	,	,	PUNCT
iajs-3478	28	61	and	and	CCONJ
iajs-3478	28	62	ali	ali	PROPN
iajs-3478	28	63	and	and	CCONJ
iajs-3478	28	64	liqaa	liqaa	PROPN
iajs-3478	28	65	(	(	PUNCT
iajs-3478	28	66	6	6	NUM
iajs-3478	28	67	)	)	PUNCT
iajs-3478	28	68	.	.	PUNCT
iajs-3478	29	1	the	the	DET
iajs-3478	29	2	static	static	ADJ
iajs-3478	29	3	magnetohydrodynamic	magnetohydrodynamic	ADJ
iajs-3478	29	4	flow	flow	NOUN
iajs-3478	29	5	and	and	CCONJ
iajs-3478	29	6	heat	heat	NOUN
iajs-3478	29	7	transfer	transfer	NOUN
iajs-3478	29	8	of	of	ADP
iajs-3478	29	9	an	an	DET
iajs-3478	29	10	eyringpowell	eyringpowell	NOUN
iajs-3478	29	11	fluid	fluid	NOUN
iajs-3478	29	12	on	on	ADP
iajs-3478	29	13	an	an	DET
iajs-3478	29	14	expansion	expansion	NOUN
iajs-3478	29	15	plate	plate	NOUN
iajs-3478	29	16	with	with	ADP
iajs-3478	29	17	viscous	viscous	ADJ
iajs-3478	29	18	dissipation	dissipation	NOUN
iajs-3478	29	19	were	be	AUX
iajs-3478	29	20	studied	study	VERB
iajs-3478	29	21	and	and	CCONJ
iajs-3478	29	22	numerically	numerically	ADV
iajs-3478	29	23	explained	explain	VERB
iajs-3478	29	24	(	(	PUNCT
iajs-3478	29	25	7	7	NUM
iajs-3478	29	26	)	)	PUNCT
iajs-3478	29	27	.	.	PUNCT
iajs-3478	30	1	the	the	DET
iajs-3478	30	2	exchange	exchange	NOUN
iajs-3478	30	3	of	of	ADP
iajs-3478	30	4	thermal	thermal	ADJ
iajs-3478	30	5	energy	energy	NOUN
iajs-3478	30	6	between	between	ADP
iajs-3478	30	7	different	different	ADJ
iajs-3478	30	8	system	system	NOUN
iajs-3478	30	9	components	component	NOUN
iajs-3478	30	10	is	be	AUX
iajs-3478	30	11	referred	refer	VERB
iajs-3478	30	12	to	to	ADP
iajs-3478	30	13	as	as	ADP
iajs-3478	30	14	heat	heat	NOUN
iajs-3478	30	15	transfer	transfer	NOUN
iajs-3478	30	16	.	.	PUNCT
iajs-3478	31	1	however	however	ADV
iajs-3478	31	2	,	,	PUNCT
iajs-3478	31	3	the	the	DET
iajs-3478	31	4	medium	medium	NOUN
iajs-3478	31	5	's	's	PART
iajs-3478	31	6	physical	physical	ADJ
iajs-3478	31	7	characteristics	characteristic	NOUN
iajs-3478	31	8	and	and	CCONJ
iajs-3478	31	9	the	the	DET
iajs-3478	31	10	separate	separate	ADJ
iajs-3478	31	11	compartments	compartment	NOUN
iajs-3478	31	12	'	'	PART
iajs-3478	31	13	temperatures	temperature	NOUN
iajs-3478	31	14	affect	affect	VERB
iajs-3478	31	15	the	the	DET
iajs-3478	31	16	speed	speed	NOUN
iajs-3478	31	17	.	.	PUNCT
iajs-3478	32	1	in	in	ADP
iajs-3478	32	2	recent	recent	ADJ
iajs-3478	32	3	years	year	NOUN
iajs-3478	32	4	,	,	PUNCT
iajs-3478	32	5	research	research	NOUN
iajs-3478	32	6	(	(	PUNCT
iajs-3478	32	7	8–11	8–11	PROPN
iajs-3478	32	8	)	)	PUNCT
iajs-3478	32	9	has	have	AUX
iajs-3478	32	10	been	be	AUX
iajs-3478	32	11	conducted	conduct	VERB
iajs-3478	32	12	about	about	ADP
iajs-3478	32	13	studying	study	VERB
iajs-3478	32	14	the	the	DET
iajs-3478	32	15	effect	effect	NOUN
iajs-3478	32	16	of	of	ADP
iajs-3478	32	17	heat	heat	NOUN
iajs-3478	32	18	transport	transport	NOUN
iajs-3478	32	19	on	on	ADP
iajs-3478	32	20	non	non	ADJ
iajs-3478	32	21	-	-	ADJ
iajs-3478	32	22	newtonian	newtonian	ADJ
iajs-3478	32	23	fluids	fluid	NOUN
iajs-3478	32	24	.	.	PUNCT
iajs-3478	33	1	in	in	ADP
iajs-3478	33	2	a	a	DET
iajs-3478	33	3	tapered	tapered	ADJ
iajs-3478	33	4	asymmetric	asymmetric	ADJ
iajs-3478	33	5	channel	channel	NOUN
iajs-3478	33	6	,	,	PUNCT
iajs-3478	33	7	the	the	DET
iajs-3478	33	8	issue	issue	NOUN
iajs-3478	33	9	of	of	ADP
iajs-3478	33	10	peristaltic	peristaltic	ADJ
iajs-3478	33	11	transport	transport	NOUN
iajs-3478	33	12	of	of	ADP
iajs-3478	33	13	an	an	DET
iajs-3478	33	14	incompressible	incompressible	ADJ
iajs-3478	33	15	non	non	ADJ
iajs-3478	33	16	-	-	ADJ
iajs-3478	33	17	newtonian	newtonian	ADJ
iajs-3478	33	18	fluid	fluid	NOUN
iajs-3478	33	19	is	be	AUX
iajs-3478	33	20	examined	examine	VERB
iajs-3478	33	21	(	(	PUNCT
iajs-3478	33	22	12	12	NUM
iajs-3478	33	23	)	)	PUNCT
iajs-3478	33	24	.	.	PUNCT
iajs-3478	34	1	with	with	ADP
iajs-3478	34	2	regard	regard	NOUN
iajs-3478	34	3	to	to	ADP
iajs-3478	34	4	well	well	ADV
iajs-3478	34	5	-	-	PUNCT
iajs-3478	34	6	established	establish	VERB
iajs-3478	34	7	problems	problem	NOUN
iajs-3478	34	8	of	of	ADP
iajs-3478	34	9	the	the	DET
iajs-3478	34	10	stir	stir	NOUN
iajs-3478	34	11	of	of	ADP
iajs-3478	34	12	semi	semi	ADJ
iajs-3478	34	13	-	-	ADJ
iajs-3478	34	14	conductive	conductive	ADJ
iajs-3478	34	15	physiological	physiological	ADJ
iajs-3478	34	16	fluids	fluid	NOUN
iajs-3478	34	17	,	,	PUNCT
iajs-3478	34	18	such	such	ADJ
iajs-3478	34	19	as	as	ADP
iajs-3478	34	20	blood	blood	NOUN
iajs-3478	34	21	and	and	CCONJ
iajs-3478	34	22	blood	blood	NOUN
iajs-3478	34	23	pump	pump	NOUN
iajs-3478	34	24	machines	machine	NOUN
iajs-3478	34	25	,	,	PUNCT
iajs-3478	34	26	magnetic	magnetic	ADJ
iajs-3478	34	27	drug	drug	NOUN
iajs-3478	34	28	forcing	forcing	NOUN
iajs-3478	34	29	,	,	PUNCT
iajs-3478	34	30	and	and	CCONJ
iajs-3478	34	31	pertinent	pertinent	ADJ
iajs-3478	34	32	methods	method	NOUN
iajs-3478	34	33	of	of	ADP
iajs-3478	34	34	human	human	ADJ
iajs-3478	34	35	digestion	digestion	NOUN
iajs-3478	34	36	,	,	PUNCT
iajs-3478	34	37	the	the	DET
iajs-3478	34	38	advantage	advantage	NOUN
iajs-3478	34	39	of	of	ADP
iajs-3478	34	40	applied	apply	VERB
iajs-3478	34	41	magnetic	magnetic	ADJ
iajs-3478	34	42	field	field	NOUN
iajs-3478	34	43	(	(	PUNCT
iajs-3478	34	44	mhd	mhd	NOUN
iajs-3478	34	45	)	)	PUNCT
iajs-3478	34	46	on	on	ADP
iajs-3478	34	47	peristaltic	peristaltic	ADJ
iajs-3478	34	48	efficacy	efficacy	NOUN
iajs-3478	34	49	is	be	AUX
iajs-3478	34	50	crucial	crucial	ADJ
iajs-3478	34	51	(	(	PUNCT
iajs-3478	34	52	13	13	NUM
iajs-3478	34	53	)	)	PUNCT
iajs-3478	34	54	.	.	PUNCT
iajs-3478	35	1	it	it	PRON
iajs-3478	35	2	is	be	AUX
iajs-3478	35	3	also	also	ADV
iajs-3478	35	4	helpful	helpful	ADJ
iajs-3478	35	5	in	in	ADP
iajs-3478	35	6	treating	treat	VERB
iajs-3478	35	7	gastroparesis	gastroparesis	NOUN
iajs-3478	35	8	,	,	PUNCT
iajs-3478	35	9	chronic	chronic	ADJ
iajs-3478	35	10	constipation	constipation	NOUN
iajs-3478	35	11	,	,	PUNCT
iajs-3478	35	12	and	and	CCONJ
iajs-3478	35	13	morbid	morbid	NOUN
iajs-3478	35	14	obesity	obesity	NOUN
iajs-3478	35	15	as	as	ADV
iajs-3478	35	16	well	well	ADV
iajs-3478	35	17	as	as	ADP
iajs-3478	35	18	magnetic	magnetic	ADJ
iajs-3478	35	19	resonance	resonance	NOUN
iajs-3478	35	20	imaging	imaging	NOUN
iajs-3478	35	21	(	(	PUNCT
iajs-3478	35	22	mri	mri	NOUN
iajs-3478	35	23	)	)	PUNCT
iajs-3478	35	24	,	,	PUNCT
iajs-3478	35	25	which	which	PRON
iajs-3478	35	26	is	be	AUX
iajs-3478	35	27	used	use	VERB
iajs-3478	35	28	to	to	PART
iajs-3478	35	29	identify	identify	VERB
iajs-3478	35	30	brain	brain	NOUN
iajs-3478	35	31	,	,	PUNCT
iajs-3478	35	32	vascular	vascular	ADJ
iajs-3478	35	33	diseases	disease	NOUN
iajs-3478	35	34	,	,	PUNCT
iajs-3478	35	35	and	and	CCONJ
iajs-3478	35	36	tumors	tumor	NOUN
iajs-3478	35	37	.	.	PUNCT
iajs-3478	36	1	a	a	DET
iajs-3478	36	2	substance	substance	NOUN
iajs-3478	36	3	that	that	PRON
iajs-3478	36	4	has	have	VERB
iajs-3478	36	5	several	several	ADJ
iajs-3478	36	6	tiny	tiny	ADJ
iajs-3478	36	7	holes	hole	NOUN
iajs-3478	36	8	scattered	scatter	VERB
iajs-3478	36	9	throughout	throughout	ADP
iajs-3478	36	10	it	it	PRON
iajs-3478	36	11	is	be	AUX
iajs-3478	36	12	referred	refer	VERB
iajs-3478	36	13	to	to	ADP
iajs-3478	36	14	as	as	ADP
iajs-3478	36	15	a	a	DET
iajs-3478	36	16	porous	porous	ADJ
iajs-3478	36	17	medium	medium	NOUN
iajs-3478	36	18	.	.	PUNCT
iajs-3478	37	1	in	in	ADP
iajs-3478	37	2	riverbeds	riverbed	NOUN
iajs-3478	37	3	,	,	PUNCT
iajs-3478	37	4	fluid	fluid	ADJ
iajs-3478	37	5	infiltration	infiltration	NOUN
iajs-3478	37	6	and	and	CCONJ
iajs-3478	37	7	seepage	seepage	NOUN
iajs-3478	37	8	are	be	AUX
iajs-3478	37	9	sustained	sustain	VERB
iajs-3478	37	10	by	by	ADP
iajs-3478	37	11	flows	flow	NOUN
iajs-3478	37	12	over	over	ADP
iajs-3478	37	13	porous	porous	ADJ
iajs-3478	37	14	media	medium	NOUN
iajs-3478	37	15	.	.	PUNCT
iajs-3478	38	1	important	important	ADJ
iajs-3478	38	2	examples	example	NOUN
iajs-3478	38	3	of	of	ADP
iajs-3478	38	4	flows	flow	NOUN
iajs-3478	38	5	through	through	ADP
iajs-3478	38	6	a	a	DET
iajs-3478	38	7	porous	porous	ADJ
iajs-3478	38	8	material	material	NOUN
iajs-3478	38	9	are	be	AUX
iajs-3478	38	10	those	those	PRON
iajs-3478	38	11	through	through	ADP
iajs-3478	38	12	the	the	DET
iajs-3478	38	13	ground	ground	NOUN
iajs-3478	38	14	,	,	PUNCT
iajs-3478	38	15	water	water	NOUN
iajs-3478	38	16	,	,	PUNCT
iajs-3478	38	17	and	and	CCONJ
iajs-3478	38	18	oil	oil	NOUN
iajs-3478	38	19	.	.	PUNCT
iajs-3478	39	1	oil	oil	NOUN
iajs-3478	39	2	is	be	AUX
iajs-3478	39	3	trapped	trap	VERB
iajs-3478	39	4	in	in	ADP
iajs-3478	39	5	rock	rock	NOUN
iajs-3478	39	6	formations	formation	NOUN
iajs-3478	39	7	like	like	ADP
iajs-3478	39	8	limestone	limestone	NOUN
iajs-3478	39	9	and	and	CCONJ
iajs-3478	39	10	sandstone	sandstone	NOUN
iajs-3478	39	11	,	,	PUNCT
iajs-3478	39	12	which	which	PRON
iajs-3478	39	13	make	make	VERB
iajs-3478	39	14	up	up	ADP
iajs-3478	39	15	the	the	DET
iajs-3478	39	16	majority	majority	NOUN
iajs-3478	39	17	of	of	ADP
iajs-3478	39	18	an	an	DET
iajs-3478	39	19	oil	oil	NOUN
iajs-3478	39	20	reservoir	reservoir	NOUN
iajs-3478	39	21	(	(	PUNCT
iajs-3478	39	22	14	14	NUM
iajs-3478	39	23	)	)	PUNCT
iajs-3478	39	24	.	.	PUNCT
iajs-3478	40	1	natural	natural	ADJ
iajs-3478	40	2	porous	porous	ADJ
iajs-3478	40	3	media	medium	NOUN
iajs-3478	40	4	can	can	AUX
iajs-3478	40	5	be	be	AUX
iajs-3478	40	6	found	find	VERB
iajs-3478	40	7	in	in	ADP
iajs-3478	40	8	many	many	ADJ
iajs-3478	40	9	different	different	ADJ
iajs-3478	40	10	forms	form	NOUN
iajs-3478	40	11	,	,	PUNCT
iajs-3478	40	12	such	such	ADJ
iajs-3478	40	13	as	as	ADP
iajs-3478	40	14	sand	sand	NOUN
iajs-3478	40	15	,	,	PUNCT
iajs-3478	40	16	rye	rye	NOUN
iajs-3478	40	17	bread	bread	NOUN
iajs-3478	40	18	,	,	PUNCT
iajs-3478	40	19	wood	wood	NOUN
iajs-3478	40	20	,	,	PUNCT
iajs-3478	40	21	filters	filter	NOUN
iajs-3478	40	22	,	,	PUNCT
iajs-3478	40	23	bread	bread	NOUN
iajs-3478	40	24	loaves	loaf	NOUN
iajs-3478	40	25	,	,	PUNCT
iajs-3478	40	26	human	human	ADJ
iajs-3478	40	27	lungs	lung	NOUN
iajs-3478	40	28	,	,	PUNCT
iajs-3478	40	29	and	and	CCONJ
iajs-3478	40	30	the	the	DET
iajs-3478	40	31	gallbladder	gallbladder	NOUN
iajs-3478	40	32	.	.	PUNCT
iajs-3478	41	1	food	food	NOUN
iajs-3478	41	2	processing	processing	NOUN
iajs-3478	41	3	,	,	PUNCT
iajs-3478	41	4	oxygenation	oxygenation	NOUN
iajs-3478	41	5	,	,	PUNCT
iajs-3478	41	6	hemodialysis	hemodialysis	NOUN
iajs-3478	41	7	,	,	PUNCT
iajs-3478	41	8	tissue	tissue	NOUN
iajs-3478	41	9	condition	condition	NOUN
iajs-3478	41	10	,	,	PUNCT
iajs-3478	41	11	heat	heat	NOUN
iajs-3478	41	12	convection	convection	NOUN
iajs-3478	41	13	for	for	ADP
iajs-3478	41	14	blood	blood	NOUN
iajs-3478	41	15	flow	flow	NOUN
iajs-3478	41	16	from	from	ADP
iajs-3478	41	17	tissues	tissue	NOUN
iajs-3478	41	18	'	'	PART
iajs-3478	41	19	pores	pore	NOUN
iajs-3478	41	20	,	,	PUNCT
iajs-3478	41	21	and	and	CCONJ
iajs-3478	41	22	radiation	radiation	NOUN
iajs-3478	41	23	between	between	ADP
iajs-3478	41	24	the	the	DET
iajs-3478	41	25	environment	environment	NOUN
iajs-3478	41	26	and	and	CCONJ
iajs-3478	41	27	its	its	PRON
iajs-3478	41	28	surface	surface	NOUN
iajs-3478	41	29	all	all	PRON
iajs-3478	41	30	depend	depend	VERB
iajs-3478	41	31	on	on	ADP
iajs-3478	41	32	the	the	DET
iajs-3478	41	33	action	action	NOUN
iajs-3478	41	34	of	of	ADP
iajs-3478	41	35	heat	heat	NOUN
iajs-3478	41	36	transfer	transfer	NOUN
iajs-3478	41	37	in	in	ADP
iajs-3478	41	38	the	the	DET
iajs-3478	41	39	peristaltic	peristaltic	ADJ
iajs-3478	41	40	repositioning	repositioning	NOUN
iajs-3478	41	41	of	of	ADP
iajs-3478	41	42	fluid	fluid	NOUN
iajs-3478	41	43	(	(	PUNCT
iajs-3478	41	44	15–18	15–18	NUM
iajs-3478	41	45	)	)	PUNCT
iajs-3478	41	46	.	.	PUNCT
iajs-3478	42	1	research	research	NOUN
iajs-3478	42	2	into	into	ADP
iajs-3478	42	3	fluid	fluid	ADJ
iajs-3478	42	4	peristaltic	peristaltic	ADJ
iajs-3478	42	5	transfer	transfer	NOUN
iajs-3478	42	6	in	in	ADP
iajs-3478	42	7	the	the	DET
iajs-3478	42	8	presence	presence	NOUN
iajs-3478	42	9	of	of	ADP
iajs-3478	42	10	an	an	DET
iajs-3478	42	11	external	external	ADJ
iajs-3478	42	12	magnetic	magnetic	ADJ
iajs-3478	42	13	field	field	NOUN
iajs-3478	42	14	and	and	CCONJ
iajs-3478	42	15	rotation	rotation	NOUN
iajs-3478	42	16	is	be	AUX
iajs-3478	42	17	necessary	necessary	ADJ
iajs-3478	42	18	for	for	ADP
iajs-3478	42	19	many	many	ADJ
iajs-3478	42	20	issues	issue	NOUN
iajs-3478	42	21	involving	involve	VERB
iajs-3478	42	22	the	the	DET
iajs-3478	42	23	flow	flow	NOUN
iajs-3478	42	24	of	of	ADP
iajs-3478	42	25	conductive	conductive	ADJ
iajs-3478	42	26	physiological	physiological	ADJ
iajs-3478	42	27	fluids	fluid	NOUN
iajs-3478	42	28	,	,	PUNCT
iajs-3478	42	29	such	such	ADJ
iajs-3478	42	30	as	as	ADP
iajs-3478	42	31	blood	blood	NOUN
iajs-3478	42	32	and	and	CCONJ
iajs-3478	42	33	saline	saline	ADJ
iajs-3478	42	34	water	water	NOUN
iajs-3478	42	35	(	(	PUNCT
iajs-3478	42	36	19,20	19,20	NOUN
iajs-3478	42	37	)	)	PUNCT
iajs-3478	42	38	.	.	PUNCT
iajs-3478	43	1	a	a	DET
iajs-3478	43	2	variety	variety	NOUN
iajs-3478	43	3	of	of	ADP
iajs-3478	43	4	values	value	NOUN
iajs-3478	43	5	are	be	AUX
iajs-3478	43	6	used	use	VERB
iajs-3478	43	7	for	for	ADP
iajs-3478	43	8	the	the	DET
iajs-3478	43	9	rotational	rotational	ADJ
iajs-3478	43	10	parameters	parameter	NOUN
iajs-3478	43	11	,	,	PUNCT
iajs-3478	43	12	the	the	DET
iajs-3478	43	13	porous	porous	ADJ
iajs-3478	43	14	medium	medium	ADJ
iajs-3478	43	15	,	,	PUNCT
iajs-3478	43	16	density	density	NOUN
iajs-3478	43	17	,	,	PUNCT
iajs-3478	43	18	amplitude	amplitude	NOUN
iajs-3478	43	19	wave	wave	NOUN
iajs-3478	43	20	,	,	PUNCT
iajs-3478	43	21	and	and	CCONJ
iajs-3478	43	22	taper	taper	NOUN
iajs-3478	43	23	of	of	ADP
iajs-3478	43	24	the	the	DET
iajs-3478	43	25	channel	channel	NOUN
iajs-3478	43	26	,	,	PUNCT
iajs-3478	43	27	as	as	ADV
iajs-3478	43	28	well	well	ADV
iajs-3478	43	29	as	as	ADP
iajs-3478	43	30	a	a	DET
iajs-3478	43	31	variety	variety	NOUN
iajs-3478	43	32	of	of	ADP
iajs-3478	43	33	values	value	NOUN
iajs-3478	43	34	for	for	ADP
iajs-3478	43	35	the	the	DET
iajs-3478	43	36	hartman	hartman	PROPN
iajs-3478	43	37	number	number	NOUN
iajs-3478	43	38	and	and	CCONJ
iajs-3478	43	39	darcy	darcy	PROPN
iajs-3478	43	40	number	number	NOUN
iajs-3478	43	41	,	,	PUNCT
iajs-3478	43	42	to	to	PART
iajs-3478	43	43	study	study	VERB
iajs-3478	43	44	the	the	DET
iajs-3478	43	45	effects	effect	NOUN
iajs-3478	43	46	of	of	ADP
iajs-3478	43	47	varying	vary	VERB
iajs-3478	43	48	the	the	DET
iajs-3478	43	49	velocity	velocity	NOUN
iajs-3478	43	50	and	and	CCONJ
iajs-3478	43	51	pressure	pressure	NOUN
iajs-3478	43	52	gradient	gradient	NOUN
iajs-3478	43	53	.	.	PUNCT
iajs-3478	44	1	the	the	DET
iajs-3478	44	2	ability	ability	NOUN
iajs-3478	44	3	to	to	PART
iajs-3478	44	4	characterize	characterize	VERB
iajs-3478	44	5	theologically	theologically	ADV
iajs-3478	44	6	complicated	complicated	ADJ
iajs-3478	44	7	fluids	fluid	NOUN
iajs-3478	44	8	like	like	ADP
iajs-3478	44	9	liquid	liquid	ADJ
iajs-3478	44	10	crystals	crystal	NOUN
iajs-3478	44	11	and	and	CCONJ
iajs-3478	44	12	human	human	ADJ
iajs-3478	44	13	blood	blood	NOUN
iajs-3478	44	14	makes	make	VERB
iajs-3478	44	15	the	the	DET
iajs-3478	44	16	study	study	NOUN
iajs-3478	44	17	of	of	ADP
iajs-3478	44	18	pair	pair	NOUN
iajs-3478	44	19	stress	stress	NOUN
iajs-3478	44	20	fluid	fluid	NOUN
iajs-3478	44	21	extremely	extremely	ADV
iajs-3478	44	22	helpful	helpful	ADJ
iajs-3478	44	23	in	in	ADP
iajs-3478	44	24	understanding	understand	VERB
iajs-3478	44	25	a	a	DET
iajs-3478	44	26	variety	variety	NOUN
iajs-3478	44	27	of	of	ADP
iajs-3478	44	28	physical	physical	ADJ
iajs-3478	44	29	issues.couple	issues.couple	PROPN
iajs-3478	44	30	stress	stress	NOUN
iajs-3478	44	31	fluid	fluid	NOUN
iajs-3478	44	32	refers	refer	VERB
iajs-3478	44	33	to	to	ADP
iajs-3478	44	34	a	a	DET
iajs-3478	44	35	specific	specific	ADJ
iajs-3478	44	36	type	type	NOUN
iajs-3478	44	37	of	of	ADP
iajs-3478	44	38	non	non	ADJ
iajs-3478	44	39	-	-	ADJ
iajs-3478	44	40	newtonian	newtonian	ADJ
iajs-3478	44	41	fluid	fluid	NOUN
iajs-3478	44	42	in	in	ADP
iajs-3478	44	43	which	which	PRON
iajs-3478	44	44	the	the	DET
iajs-3478	44	45	size	size	NOUN
iajs-3478	44	46	of	of	ADP
iajs-3478	44	47	the	the	DET
iajs-3478	44	48	fluid	fluid	NOUN
iajs-3478	44	49	's	's	PART
iajs-3478	44	50	particles	particle	NOUN
iajs-3478	44	51	is	be	AUX
iajs-3478	44	52	taken	take	VERB
iajs-3478	44	53	into	into	ADP
iajs-3478	44	54	consideration	consideration	NOUN
iajs-3478	44	55	.	.	PUNCT
iajs-3478	45	1	recent	recent	ADJ
iajs-3478	45	2	researches	research	NOUN
iajs-3478	45	3	on	on	ADP
iajs-3478	45	4	the	the	DET
iajs-3478	45	5	couple	couple	NOUN
iajs-3478	45	6	stress	stress	NOUN
iajs-3478	45	7	fluid	fluid	NOUN
iajs-3478	45	8	has	have	AUX
iajs-3478	45	9	been	be	AUX
iajs-3478	45	10	ihjpas	ihjpa	VERB
iajs-3478	45	11	.	.	PUNCT
iajs-3478	46	1	2025	2025	NUM
iajs-3478	46	2	,	,	PUNCT
iajs-3478	46	3	38(2	38(2	NUM
iajs-3478	46	4	)	)	PUNCT
iajs-3478	46	5	306	306	NUM
iajs-3478	46	6	conducted	conduct	VERB
iajs-3478	46	7	(	(	PUNCT
iajs-3478	46	8	21–24	21–24	NUM
iajs-3478	46	9	)	)	PUNCT
iajs-3478	46	10	.	.	PUNCT
iajs-3478	47	1	this	this	DET
iajs-3478	47	2	study	study	NOUN
iajs-3478	47	3	's	's	PART
iajs-3478	47	4	goal	goal	NOUN
iajs-3478	47	5	is	be	AUX
iajs-3478	47	6	to	to	PART
iajs-3478	47	7	examine	examine	VERB
iajs-3478	47	8	the	the	DET
iajs-3478	47	9	couple	couple	NOUN
iajs-3478	47	10	-	-	PUNCT
iajs-3478	47	11	stress	stress	NOUN
iajs-3478	47	12	,	,	PUNCT
iajs-3478	47	13	slip	slip	NOUN
iajs-3478	47	14	condition	condition	NOUN
iajs-3478	47	15	,	,	PUNCT
iajs-3478	47	16	and	and	CCONJ
iajs-3478	47	17	rotation	rotation	NOUN
iajs-3478	47	18	impacts	impact	NOUN
iajs-3478	47	19	of	of	ADP
iajs-3478	47	20	powell	powell	NOUN
iajs-3478	47	21	-	-	PUNCT
iajs-3478	47	22	eyring	eyre	VERB
iajs-3478	47	23	fluid	fluid	ADJ
iajs-3478	47	24	peristaltic	peristaltic	ADJ
iajs-3478	47	25	transport	transport	NOUN
iajs-3478	47	26	in	in	ADP
iajs-3478	47	27	porous	porous	ADJ
iajs-3478	47	28	media	medium	NOUN
iajs-3478	47	29	under	under	ADP
iajs-3478	47	30	the	the	DET
iajs-3478	47	31	combined	combine	VERB
iajs-3478	47	32	influence	influence	NOUN
iajs-3478	47	33	of	of	ADP
iajs-3478	47	34	inclined	inclined	ADJ
iajs-3478	47	35	mhd	mhd	NOUN
iajs-3478	47	36	.	.	PUNCT
iajs-3478	48	1	where	where	SCONJ
iajs-3478	48	2	it	it	PRON
iajs-3478	48	3	was	be	AUX
iajs-3478	48	4	observed	observe	VERB
iajs-3478	48	5	that	that	SCONJ
iajs-3478	48	6	increasing	increase	VERB
iajs-3478	48	7	the	the	DET
iajs-3478	48	8	values	value	NOUN
iajs-3478	48	9	of	of	ADP
iajs-3478	48	10	the	the	DET
iajs-3478	48	11	couple	couple	NOUN
iajs-3478	48	12	stress	stress	NOUN
iajs-3478	48	13	coefficient	coefficient	NOUN
iajs-3478	48	14	(	(	PUNCT
iajs-3478	48	15	α	α	NOUN
iajs-3478	48	16	)	)	PUNCT
iajs-3478	48	17	leads	lead	VERB
iajs-3478	48	18	to	to	ADP
iajs-3478	48	19	an	an	DET
iajs-3478	48	20	increase	increase	NOUN
iajs-3478	48	21	in	in	ADP
iajs-3478	48	22	the	the	DET
iajs-3478	48	23	size	size	NOUN
iajs-3478	48	24	of	of	ADP
iajs-3478	48	25	the	the	DET
iajs-3478	48	26	bolus	bolus	NOUN
iajs-3478	48	27	trapped	trap	VERB
iajs-3478	48	28	and	and	CCONJ
iajs-3478	48	29	approaching	approach	VERB
iajs-3478	48	30	the	the	DET
iajs-3478	48	31	channel	channel	NOUN
iajs-3478	48	32	wall	wall	NOUN
iajs-3478	48	33	,	,	PUNCT
iajs-3478	48	34	while	while	SCONJ
iajs-3478	48	35	the	the	DET
iajs-3478	48	36	increases	increase	NOUN
iajs-3478	48	37	in	in	ADP
iajs-3478	48	38	the	the	DET
iajs-3478	48	39	values	value	NOUN
iajs-3478	48	40	of	of	ADP
iajs-3478	48	41	rotation	rotation	NOUN
iajs-3478	48	42	(	(	PUNCT
iajs-3478	48	43	ω	ω	NOUN
iajs-3478	48	44	)	)	PUNCT
iajs-3478	48	45	led	lead	VERB
iajs-3478	48	46	to	to	ADP
iajs-3478	48	47	a	a	DET
iajs-3478	48	48	decrease	decrease	NOUN
iajs-3478	48	49	in	in	ADP
iajs-3478	48	50	the	the	DET
iajs-3478	48	51	size	size	NOUN
iajs-3478	48	52	of	of	ADP
iajs-3478	48	53	the	the	DET
iajs-3478	48	54	bolus	bolus	NOUN
iajs-3478	48	55	trapped	trap	VERB
iajs-3478	48	56	and	and	CCONJ
iajs-3478	48	57	moving	move	VERB
iajs-3478	48	58	away	away	ADV
iajs-3478	48	59	from	from	ADP
iajs-3478	48	60	the	the	DET
iajs-3478	48	61	channe	channe	NOUN
iajs-3478	48	62	walls	wall	NOUN
iajs-3478	48	63	and	and	CCONJ
iajs-3478	48	64	when	when	SCONJ
iajs-3478	48	65	the	the	DET
iajs-3478	48	66	values	value	NOUN
iajs-3478	48	67	of	of	ADP
iajs-3478	48	68	the	the	DET
iajs-3478	48	69	slip	slip	NOUN
iajs-3478	48	70	condition	condition	NOUN
iajs-3478	48	71	(	(	PUNCT
iajs-3478	48	72	𝛽1	𝛽1	NOUN
iajs-3478	48	73	)	)	PUNCT
iajs-3478	48	74	decrease	decrease	NOUN
iajs-3478	48	75	leading	lead	VERB
iajs-3478	48	76	to	to	ADP
iajs-3478	48	77	the	the	DET
iajs-3478	48	78	decrease	decrease	NOUN
iajs-3478	48	79	in	in	ADP
iajs-3478	48	80	the	the	DET
iajs-3478	48	81	size	size	NOUN
iajs-3478	48	82	of	of	ADP
iajs-3478	48	83	the	the	DET
iajs-3478	48	84	trapped	trap	VERB
iajs-3478	48	85	bolus	bolus	NOUN
iajs-3478	48	86	and	and	CCONJ
iajs-3478	48	87	moving	move	VERB
iajs-3478	48	88	away	away	ADV
iajs-3478	48	89	from	from	ADP
iajs-3478	48	90	the	the	DET
iajs-3478	48	91	channel	channel	NOUN
iajs-3478	48	92	walls	wall	NOUN
iajs-3478	48	93	.	.	PUNCT
iajs-3478	49	1	2	2	X
iajs-3478	49	2	.	.	X
iajs-3478	49	3	materials	material	NOUN
iajs-3478	49	4	and	and	CCONJ
iajs-3478	49	5	methods	method	NOUN
iajs-3478	49	6	2.1	2.1	NUM
iajs-3478	49	7	.	.	PUNCT
iajs-3478	50	1	a	a	DET
iajs-3478	50	2	mathematical	mathematical	ADJ
iajs-3478	50	3	formulation	formulation	NOUN
iajs-3478	50	4	for	for	ADP
iajs-3478	50	5	asymmetric	asymmetric	ADJ
iajs-3478	50	6	flow	flow	NOUN
iajs-3478	50	7	consider	consider	VERB
iajs-3478	50	8	the	the	DET
iajs-3478	50	9	peristaltic	peristaltic	ADJ
iajs-3478	50	10	motion	motion	NOUN
iajs-3478	50	11	of	of	ADP
iajs-3478	50	12	an	an	DET
iajs-3478	50	13	incompressible	incompressible	ADJ
iajs-3478	50	14	powell	powell	NOUN
iajs-3478	50	15	-	-	PUNCT
iajs-3478	50	16	eyring	eyre	VERB
iajs-3478	50	17	fluid	fluid	NOUN
iajs-3478	50	18	in	in	ADP
iajs-3478	50	19	a	a	DET
iajs-3478	50	20	two	two	NUM
iajs-3478	50	21	-	-	PUNCT
iajs-3478	50	22	dimensional	dimensional	ADJ
iajs-3478	50	23	,	,	PUNCT
iajs-3478	50	24	asymmetric	asymmetric	ADJ
iajs-3478	50	25	conduit	conduit	NOUN
iajs-3478	50	26	with	with	ADP
iajs-3478	50	27	a	a	DET
iajs-3478	50	28	width	width	NOUN
iajs-3478	50	29	of	of	ADP
iajs-3478	50	30	(	(	PUNCT
iajs-3478	50	31	d'+d	d'+d	PROPN
iajs-3478	50	32	)	)	PUNCT
iajs-3478	50	33	.	.	PUNCT
iajs-3478	51	1	an	an	DET
iajs-3478	51	2	endless	endless	ADJ
iajs-3478	51	3	sinusoidal	sinusoidal	ADJ
iajs-3478	51	4	wave	wave	NOUN
iajs-3478	51	5	traveling	travel	VERB
iajs-3478	51	6	along	along	ADP
iajs-3478	51	7	the	the	DET
iajs-3478	51	8	channel	channel	NOUN
iajs-3478	51	9	walls	wall	NOUN
iajs-3478	51	10	at	at	ADP
iajs-3478	51	11	a	a	DET
iajs-3478	51	12	constant	constant	ADJ
iajs-3478	51	13	forward	forward	ADJ
iajs-3478	51	14	speed	speed	NOUN
iajs-3478	51	15	(	(	PUNCT
iajs-3478	51	16	c	c	X
iajs-3478	51	17	)	)	PUNCT
iajs-3478	51	18	is	be	AUX
iajs-3478	51	19	what	what	PRON
iajs-3478	51	20	generates	generate	VERB
iajs-3478	51	21	flow	flow	NOUN
iajs-3478	51	22	.	.	PUNCT
iajs-3478	52	1	the	the	DET
iajs-3478	52	2	geometry	geometry	NOUN
iajs-3478	52	3	of	of	ADP
iajs-3478	52	4	the	the	DET
iajs-3478	52	5	wall	wall	NOUN
iajs-3478	52	6	structure	structure	NOUN
iajs-3478	52	7	is	be	AUX
iajs-3478	52	8	described	describe	VERB
iajs-3478	52	9	as	as	ADP
iajs-3478	52	10	:	:	PUNCT
iajs-3478	52	11	h1	h1	PROPN
iajs-3478	52	12	̅̅	̅̅	PROPN
iajs-3478	52	13	̅(x̅	̅(x̅	PROPN
iajs-3478	52	14	,	,	PUNCT
iajs-3478	52	15	t)̅	t)̅	VERB
iajs-3478	52	16	=	=	SYM
iajs-3478	53	1	d	d	DET
iajs-3478	53	2	−	−	NOUN
iajs-3478	53	3	a1	a1	NOUN
iajs-3478	53	4	sin	sin	NOUN
iajs-3478	53	5	[	[	PUNCT
iajs-3478	53	6	2π	2π	PROPN
iajs-3478	53	7	λ	λ	X
iajs-3478	53	8	(	(	PUNCT
iajs-3478	53	9	x̅	x̅	PROPN
iajs-3478	53	10	−	−	NOUN
iajs-3478	53	11	ct)̅	ct)̅	X
iajs-3478	53	12	]	]	X
iajs-3478	53	13	(	(	PUNCT
iajs-3478	53	14	1	1	X
iajs-3478	53	15	)	)	PUNCT
iajs-3478	53	16	h2	h2	PROPN
iajs-3478	53	17	̅̅	̅̅	PROPN
iajs-3478	53	18	̅(x̅	̅(x̅	PROPN
iajs-3478	53	19	,	,	PUNCT
iajs-3478	53	20	t)̅	t)̅	VERB
iajs-3478	53	21	=	=	PUNCT
iajs-3478	53	22	−d′	−d′	PROPN
iajs-3478	53	23	−	−	PROPN
iajs-3478	53	24	a2	a2	PROPN
iajs-3478	53	25	sin	sin	NOUN
iajs-3478	53	26	[	[	PUNCT
iajs-3478	53	27	2π	2π	PROPN
iajs-3478	53	28	λ	λ	X
iajs-3478	53	29	(	(	PUNCT
iajs-3478	53	30	x̅	x̅	PROPN
iajs-3478	53	31	−	−	NOUN
iajs-3478	53	32	ct)̅	ct)̅	X
iajs-3478	53	33	+	+	CCONJ
iajs-3478	53	34	φ	φ	PROPN
iajs-3478	53	35	]	]	X
iajs-3478	53	36	(	(	PUNCT
iajs-3478	53	37	2	2	NUM
iajs-3478	53	38	)	)	PUNCT
iajs-3478	53	39	in	in	ADP
iajs-3478	53	40	which	which	PRON
iajs-3478	53	41	ℎ1	ℎ1	PROPN
iajs-3478	53	42	̅̅	̅̅	PROPN
iajs-3478	53	43	̅(	̅(	PROPN
iajs-3478	53	44	�	�	PROPN
iajs-3478	53	45	̅	̅	NOUN
iajs-3478	53	46	�	�	NOUN
iajs-3478	53	47	,	,	PUNCT
iajs-3478	53	48	𝑡̅	𝑡̅	PROPN
iajs-3478	53	49	)	)	PUNCT
iajs-3478	53	50	,	,	PUNCT
iajs-3478	53	51	ℎ2	ℎ2	PROPN
iajs-3478	53	52	̅̅	̅̅	NOUN
iajs-3478	53	53	̅(	̅(	PROPN
iajs-3478	53	54	�	�	PROPN
iajs-3478	53	55	̅	̅	NOUN
iajs-3478	53	56	�	�	PROPN
iajs-3478	53	57	,	,	PUNCT
iajs-3478	53	58	𝑡)̅	𝑡)̅	NOUN
iajs-3478	53	59	are	be	AUX
iajs-3478	53	60	the	the	DET
iajs-3478	53	61	lower	low	ADJ
iajs-3478	53	62	and	and	CCONJ
iajs-3478	53	63	upper	upper	ADJ
iajs-3478	53	64	walls	wall	NOUN
iajs-3478	53	65	respectively	respectively	ADV
iajs-3478	53	66	,	,	PUNCT
iajs-3478	53	67	(	(	PUNCT
iajs-3478	53	68	𝑑	𝑑	NOUN
iajs-3478	53	69	,	,	PUNCT
iajs-3478	53	70	𝑑′)denote	𝑑′)denote	VERB
iajs-3478	53	71	the	the	DET
iajs-3478	53	72	channel	channel	NOUN
iajs-3478	53	73	width	width	NOUN
iajs-3478	53	74	,	,	PUNCT
iajs-3478	53	75	(	(	PUNCT
iajs-3478	53	76	𝑎1	𝑎1	ADV
iajs-3478	53	77	,	,	PUNCT
iajs-3478	53	78	𝑎2	𝑎2	PROPN
iajs-3478	53	79	)	)	PUNCT
iajs-3478	53	80	are	be	AUX
iajs-3478	53	81	the	the	DET
iajs-3478	53	82	amplitudes	amplitude	NOUN
iajs-3478	53	83	of	of	ADP
iajs-3478	53	84	the	the	DET
iajs-3478	53	85	wave	wave	NOUN
iajs-3478	53	86	,	,	PUNCT
iajs-3478	53	87	(	(	PUNCT
iajs-3478	53	88	𝜆	𝜆	X
iajs-3478	53	89	)	)	PUNCT
iajs-3478	53	90	is	be	AUX
iajs-3478	53	91	the	the	DET
iajs-3478	53	92	wavelength	wavelength	NOUN
iajs-3478	53	93	,	,	PUNCT
iajs-3478	53	94	(	(	PUNCT
iajs-3478	53	95	𝑐	𝑐	NOUN
iajs-3478	53	96	)	)	PUNCT
iajs-3478	53	97	is	be	AUX
iajs-3478	53	98	wave	wave	NOUN
iajs-3478	53	99	the	the	DET
iajs-3478	53	100	wave	wave	NOUN
iajs-3478	53	101	speed	speed	NOUN
iajs-3478	53	102	,	,	PUNCT
iajs-3478	53	103	(	(	PUNCT
iajs-3478	53	104	φ	φ	NOUN
iajs-3478	53	105	)	)	PUNCT
iajs-3478	53	106	varies	vary	VERB
iajs-3478	53	107	in	in	ADP
iajs-3478	53	108	the	the	DET
iajs-3478	53	109	range	range	NOUN
iajs-3478	53	110	(	(	PUNCT
iajs-3478	53	111	0	0	NUM
iajs-3478	53	112	≤	≤	NUM
iajs-3478	53	113	φ	φ	NUM
iajs-3478	53	114	≤	≤	NUM
iajs-3478	53	115	𝜋	𝜋	NOUN
iajs-3478	53	116	)	)	PUNCT
iajs-3478	53	117	,	,	PUNCT
iajs-3478	53	118	when	when	SCONJ
iajs-3478	53	119	φ	φ	PROPN
iajs-3478	53	120	=	=	SYM
iajs-3478	53	121	0	0	NUM
iajs-3478	53	122	is	be	AUX
iajs-3478	53	123	a	a	DET
iajs-3478	53	124	symmetric	symmetric	ADJ
iajs-3478	53	125	channel	channel	NOUN
iajs-3478	53	126	with	with	ADP
iajs-3478	53	127	out	out	ADV
iajs-3478	53	128	-	-	PUNCT
iajs-3478	53	129	of	of	ADP
iajs-3478	53	130	-	-	PUNCT
iajs-3478	53	131	phase	phase	NOUN
iajs-3478	53	132	waves	wave	NOUN
iajs-3478	53	133	and	and	CCONJ
iajs-3478	54	1	φ	φ	NUM
iajs-3478	54	2	=	=	SYM
iajs-3478	54	3	𝜋	𝜋	NOUN
iajs-3478	54	4	waves	wave	NOUN
iajs-3478	54	5	are	be	AUX
iajs-3478	54	6	in	in	ADP
iajs-3478	54	7	phase	phase	NOUN
iajs-3478	54	8	,	,	PUNCT
iajs-3478	54	9	the	the	DET
iajs-3478	54	10	rectangular	rectangular	ADJ
iajs-3478	54	11	coordinate	coordinate	NOUN
iajs-3478	54	12	system	system	NOUN
iajs-3478	54	13	is	be	AUX
iajs-3478	54	14	chosen	choose	VERB
iajs-3478	54	15	so	so	SCONJ
iajs-3478	54	16	that	that	SCONJ
iajs-3478	54	17	the	the	DET
iajs-3478	54	18	�	�	PROPN
iajs-3478	54	19	̅	̅	NOUN
iajs-3478	54	20	�	�	PROPN
iajs-3478	54	21	−	−	PROPN
iajs-3478	54	22	𝑎𝑥𝑖𝑠	𝑎𝑥𝑖𝑠	NOUN
iajs-3478	54	23	is	be	AUX
iajs-3478	54	24	in	in	ADP
iajs-3478	54	25	the	the	DET
iajs-3478	54	26	direction	direction	NOUN
iajs-3478	54	27	of	of	ADP
iajs-3478	54	28	the	the	DET
iajs-3478	54	29	wave	wave	NOUN
iajs-3478	54	30	's	's	PART
iajs-3478	54	31	motion	motion	NOUN
iajs-3478	54	32	.	.	PUNCT
iajs-3478	55	1	and	and	CCONJ
iajs-3478	55	2	the	the	DET
iajs-3478	55	3	�	�	PROPN
iajs-3478	55	4	̅	̅	NOUN
iajs-3478	55	5	�	�	PROPN
iajs-3478	55	6	−	−	PROPN
iajs-3478	55	7	𝑎𝑥𝑖𝑠	𝑎𝑥𝑖𝑠	ADJ
iajs-3478	55	8	perpendicular	perpendicular	NOUN
iajs-3478	55	9	to	to	ADP
iajs-3478	55	10	�	�	PROPN
iajs-3478	55	11	̅	̅	NOUN
iajs-3478	55	12	�	�	NOUN
iajs-3478	55	13	,	,	PUNCT
iajs-3478	55	14	where	where	SCONJ
iajs-3478	55	15	𝑡̅	𝑡̅	PROPN
iajs-3478	55	16	is	be	AUX
iajs-3478	55	17	the	the	DET
iajs-3478	55	18	time	time	NOUN
iajs-3478	55	19	further	far	ADV
iajs-3478	55	20	𝑎1	𝑎1	ADV
iajs-3478	55	21	,	,	PUNCT
iajs-3478	55	22	𝑎2	𝑎2	NOUN
iajs-3478	55	23	,	,	PUNCT
iajs-3478	55	24	𝑑	𝑑	NOUN
iajs-3478	55	25	,	,	PUNCT
iajs-3478	55	26	𝑑′	𝑑′	NOUN
iajs-3478	55	27	and	and	CCONJ
iajs-3478	55	28	φ	φ	NUM
iajs-3478	55	29	fulfill	fulfill	VERB
iajs-3478	55	30	the	the	DET
iajs-3478	55	31	following	follow	VERB
iajs-3478	55	32	condition	condition	NOUN
iajs-3478	55	33	:	:	PUNCT
iajs-3478	55	34	𝑎1	𝑎1	ADP
iajs-3478	55	35	2	2	NUM
iajs-3478	56	1	+	+	CCONJ
iajs-3478	56	2	𝑎2	𝑎2	NOUN
iajs-3478	56	3	2	2	NUM
iajs-3478	56	4	+	+	CCONJ
iajs-3478	56	5	2𝑎1𝑎2	2𝑎1𝑎2	NUM
iajs-3478	56	6	cos	cos	ADP
iajs-3478	56	7	φ	φ	X
iajs-3478	56	8	≤	≤	NUM
iajs-3478	56	9	(	(	PUNCT
iajs-3478	56	10	𝑑	𝑑	PROPN
iajs-3478	56	11	+	+	X
iajs-3478	56	12	𝑑′)2	𝑑′)2	PROPN
iajs-3478	56	13	(	(	PUNCT
iajs-3478	56	14	3	3	NUM
iajs-3478	56	15	)	)	PUNCT
iajs-3478	56	16	the	the	DET
iajs-3478	56	17	cauchy	cauchy	PROPN
iajs-3478	56	18	stress	stress	NOUN
iajs-3478	56	19	tensor	tensor	NOUN
iajs-3478	56	20	𝜏̅	𝜏̅	PROPN
iajs-3478	56	21	for	for	ADP
iajs-3478	56	22	a	a	DET
iajs-3478	56	23	fluid	fluid	NOUN
iajs-3478	56	24	that	that	PRON
iajs-3478	56	25	obeys	obey	VERB
iajs-3478	56	26	the	the	DET
iajs-3478	56	27	powelleyring	powelleyring	NOUN
iajs-3478	56	28	model	model	NOUN
iajs-3478	56	29	is	be	AUX
iajs-3478	56	30	given	give	VERB
iajs-3478	56	31	as	as	SCONJ
iajs-3478	56	32	follows	follow	VERB
iajs-3478	56	33	:	:	PUNCT
iajs-3478	56	34	τ̅	τ̅	X
iajs-3478	56	35	=	=	PUNCT
iajs-3478	56	36	−pi	−pi	PROPN
iajs-3478	56	37	+	+	CCONJ
iajs-3478	56	38	s̅	s̅	PROPN
iajs-3478	56	39	(	(	PUNCT
iajs-3478	56	40	4	4	X
iajs-3478	56	41	)	)	PUNCT
iajs-3478	56	42	figure	figure	NOUN
iajs-3478	56	43	1	1	NUM
iajs-3478	56	44	.	.	PUNCT
iajs-3478	56	45	coordinates	coordinate	NOUN
iajs-3478	56	46	for	for	ADP
iajs-3478	56	47	inclined	inclined	ADJ
iajs-3478	56	48	asymmetric	asymmetric	ADJ
iajs-3478	56	49	channels	channel	NOUN
iajs-3478	56	50	in	in	ADP
iajs-3478	56	51	cartesian	cartesian	ADJ
iajs-3478	56	52	space	space	NOUN
iajs-3478	56	53	s̅	s̅	PUNCT
iajs-3478	56	54	=	=	PUNCT
iajs-3478	57	1	[	[	X
iajs-3478	57	2	μ	μ	NOUN
iajs-3478	57	3	+	+	NOUN
iajs-3478	57	4	1	1	NUM
iajs-3478	57	5	βγ	βγ	NOUN
iajs-3478	57	6	sinh−1	sinh−1	PROPN
iajs-3478	57	7	(	(	PUNCT
iajs-3478	57	8	γ̇	γ̇	PROPN
iajs-3478	57	9	c1	c1	PROPN
iajs-3478	57	10	)	)	PUNCT
iajs-3478	57	11	]	]	PUNCT
iajs-3478	57	12	a11	a11	PROPN
iajs-3478	57	13	(	(	PUNCT
iajs-3478	57	14	5	5	NUM
iajs-3478	57	15	)	)	PUNCT
iajs-3478	57	16	γ̇	γ̇	NOUN
iajs-3478	57	17	=	=	PUNCT
iajs-3478	57	18	√	√	NUM
iajs-3478	57	19	1	1	NUM
iajs-3478	57	20	2	2	NUM
iajs-3478	57	21	tras(a11)2	tras(a11)2	NUM
iajs-3478	57	22	(	(	PUNCT
iajs-3478	57	23	6	6	NUM
iajs-3478	57	24	)	)	PUNCT
iajs-3478	57	25	a11	a11	NOUN
iajs-3478	57	26	=	=	PUNCT
iajs-3478	57	27	∇v̅	∇v̅	PUNCT
iajs-3478	57	28	+	+	CCONJ
iajs-3478	57	29	(	(	PUNCT
iajs-3478	57	30	∇v̅)t	∇v̅)t	X
iajs-3478	57	31	(	(	PUNCT
iajs-3478	57	32	7	7	NUM
iajs-3478	57	33	)	)	PUNCT
iajs-3478	57	34	where	where	SCONJ
iajs-3478	57	35	s̅	s̅	PROPN
iajs-3478	57	36	is	be	AUX
iajs-3478	57	37	the	the	DET
iajs-3478	57	38	extra	extra	ADJ
iajs-3478	57	39	stress	stress	NOUN
iajs-3478	57	40	tensor	tensor	NOUN
iajs-3478	57	41	,	,	PUNCT
iajs-3478	57	42	i	i	PRON
iajs-3478	57	43	is	be	AUX
iajs-3478	57	44	the	the	DET
iajs-3478	57	45	identity	identity	NOUN
iajs-3478	57	46	tensor	tensor	NOUN
iajs-3478	57	47	,	,	PUNCT
iajs-3478	57	48	∇=	∇=	PROPN
iajs-3478	57	49	(	(	PUNCT
iajs-3478	57	50	𝜕	𝜕	NOUN
iajs-3478	57	51	�	�	PROPN
iajs-3478	57	52	̅	̅	NOUN
iajs-3478	57	53	�	�	PROPN
iajs-3478	57	54	,	,	PUNCT
iajs-3478	57	55	𝜕	𝜕	NOUN
iajs-3478	57	56	�	�	PROPN
iajs-3478	57	57	̅	̅	NOUN
iajs-3478	57	58	�	�	NOUN
iajs-3478	57	59	,	,	PUNCT
iajs-3478	57	60	0	0	NUM
iajs-3478	57	61	)	)	PUNCT
iajs-3478	57	62	is	be	AUX
iajs-3478	57	63	the	the	DET
iajs-3478	57	64	gradient	gradient	PROPN
iajs-3478	57	65	vector	vector	NOUN
iajs-3478	57	66	,	,	PUNCT
iajs-3478	57	67	ihjpas	ihjpas	PROPN
iajs-3478	57	68	.	.	PUNCT
iajs-3478	58	1	2025	2025	NUM
iajs-3478	58	2	,	,	PUNCT
iajs-3478	58	3	38(2	38(2	NUM
iajs-3478	58	4	)	)	PUNCT
iajs-3478	58	5	307	307	NUM
iajs-3478	58	6	(	(	PUNCT
iajs-3478	58	7	𝛽	𝛽	NOUN
iajs-3478	58	8	,	,	PUNCT
iajs-3478	58	9	𝑐1	𝑐1	NOUN
iajs-3478	58	10	)	)	PUNCT
iajs-3478	58	11	are	be	AUX
iajs-3478	58	12	the	the	DET
iajs-3478	58	13	material	material	ADJ
iajs-3478	58	14	parameters	parameter	NOUN
iajs-3478	58	15	of	of	ADP
iajs-3478	58	16	powell	powell	PROPN
iajs-3478	58	17	-	-	PUNCT
iajs-3478	58	18	eyring	eyre	VERB
iajs-3478	58	19	fluid	fluid	NOUN
iajs-3478	58	20	,	,	PUNCT
iajs-3478	58	21	p	p	PRON
iajs-3478	58	22	is	be	AUX
iajs-3478	58	23	the	the	DET
iajs-3478	58	24	fluid	fluid	ADJ
iajs-3478	58	25	pressure	pressure	NOUN
iajs-3478	58	26	,	,	PUNCT
iajs-3478	58	27	and	and	CCONJ
iajs-3478	58	28	𝜇	𝜇	ADP
iajs-3478	58	29	the	the	DET
iajs-3478	58	30	dynamic	dynamic	ADJ
iajs-3478	58	31	viscosity	viscosity	NOUN
iajs-3478	58	32	.	.	PUNCT
iajs-3478	59	1	the	the	DET
iajs-3478	59	2	term	term	NOUN
iajs-3478	59	3	sinh−1	sinh−1	PROPN
iajs-3478	59	4	is	be	AUX
iajs-3478	59	5	approximately	approximately	ADV
iajs-3478	59	6	equivalent	equivalent	ADJ
iajs-3478	59	7	to	to	ADP
iajs-3478	59	8	sinh−1	sinh−1	PROPN
iajs-3478	59	9	(	(	PUNCT
iajs-3478	59	10	γ̇	γ̇	PROPN
iajs-3478	59	11	c1	c1	PROPN
iajs-3478	59	12	)	)	PUNCT
iajs-3478	60	1	=	=	PUNCT
iajs-3478	60	2	γ̇	γ̇	PROPN
iajs-3478	60	3	c1	c1	NOUN
iajs-3478	60	4	−	−	PROPN
iajs-3478	60	5	γ̇3	γ̇3	PROPN
iajs-3478	60	6	6c1	6c1	NUM
iajs-3478	60	7	3	3	NUM
iajs-3478	60	8	,	,	PUNCT
iajs-3478	60	9	|	|	ADV
iajs-3478	60	10	γ̇5	γ̇5	VERB
iajs-3478	60	11	6c1	6c1	NUM
iajs-3478	60	12	5|	5|	NUM
iajs-3478	60	13	≪	≪	ADJ
iajs-3478	60	14	1	1	NUM
iajs-3478	60	15	(	(	PUNCT
iajs-3478	60	16	8)	8)	NUM
iajs-3478	60	17	the	the	DET
iajs-3478	60	18	flow	flow	NOUN
iajs-3478	60	19	is	be	AUX
iajs-3478	60	20	governed	govern	VERB
iajs-3478	60	21	by	by	ADP
iajs-3478	60	22	three	three	NUM
iajs-3478	60	23	coupled	couple	VERB
iajs-3478	60	24	nonlinear	nonlinear	ADJ
iajs-3478	60	25	partial	partial	ADJ
iajs-3478	60	26	differentials	differential	NOUN
iajs-3478	60	27	of	of	ADP
iajs-3478	60	28	continuity	continuity	NOUN
iajs-3478	60	29	,	,	PUNCT
iajs-3478	60	30	momentum	momentum	NOUN
iajs-3478	60	31	,	,	PUNCT
iajs-3478	60	32	and	and	CCONJ
iajs-3478	60	33	energy	energy	NOUN
iajs-3478	60	34	,	,	PUNCT
iajs-3478	60	35	which	which	PRON
iajs-3478	60	36	are	be	AUX
iajs-3478	60	37	expressed	express	VERB
iajs-3478	60	38	in	in	ADP
iajs-3478	60	39	frame	frame	NOUN
iajs-3478	60	40	(	(	PUNCT
iajs-3478	60	41	�	�	NOUN
iajs-3478	60	42	̅	̅	NOUN
iajs-3478	60	43	�	�	PROPN
iajs-3478	60	44	,	,	PUNCT
iajs-3478	60	45	�	�	PROPN
iajs-3478	60	46	̅	̅	NOUN
iajs-3478	60	47	�	�	NOUN
iajs-3478	60	48	)	)	PUNCT
iajs-3478	60	49	as	as	ADP
iajs-3478	60	50	∂u̅	∂u̅	NUM
iajs-3478	60	51	∂x̅	∂x̅	PROPN
iajs-3478	60	52	+	+	CCONJ
iajs-3478	60	53	∂v̅	∂v̅	PROPN
iajs-3478	60	54	∂y̅	∂y̅	X
iajs-3478	60	55	=	=	SYM
iajs-3478	60	56	0	0	NUM
iajs-3478	60	57	(	(	PUNCT
iajs-3478	60	58	9	9	X
iajs-3478	60	59	)	)	PUNCT
iajs-3478	60	60	ρ	ρ	NOUN
iajs-3478	60	61	(	(	PUNCT
iajs-3478	60	62	∂u̅	∂u̅	PROPN
iajs-3478	60	63	∂t̅	∂t̅	PROPN
iajs-3478	60	64	+	+	PUNCT
iajs-3478	60	65	u̅	u̅	PROPN
iajs-3478	60	66	∂u̅	∂u̅	PUNCT
iajs-3478	60	67	∂x̅	∂x̅	VERB
iajs-3478	60	68	+	+	CCONJ
iajs-3478	60	69	v̅	v̅	NOUN
iajs-3478	60	70	∂u̅	∂u̅	PUNCT
iajs-3478	60	71	∂y̅	∂y̅	X
iajs-3478	60	72	)	)	PUNCT
iajs-3478	60	73	−	−	PROPN
iajs-3478	61	1	ρω	ρω	X
iajs-3478	61	2	(	(	PUNCT
iajs-3478	61	3	ωu̅	ωu̅	PROPN
iajs-3478	61	4	+	+	CCONJ
iajs-3478	61	5	2	2	NUM
iajs-3478	61	6	∂v̅	∂v̅	PRON
iajs-3478	61	7	∂t̅	∂t̅	PROPN
iajs-3478	61	8	)	)	PUNCT
iajs-3478	61	9	=	=	SYM
iajs-3478	62	1	−	−	PROPN
iajs-3478	62	2	∂p̅	∂p̅	PROPN
iajs-3478	62	3	∂x̅	∂x̅	PROPN
iajs-3478	62	4	+	+	CCONJ
iajs-3478	62	5	∂s̅x̅x̅	∂s̅x̅x̅	AUX
iajs-3478	62	6	∂x̅	∂x̅	NOUN
iajs-3478	62	7	+	+	CCONJ
iajs-3478	62	8	∂s̅x̅y̅	∂s̅x̅y̅	NOUN
iajs-3478	62	9	∂y̅	∂y̅	VERB
iajs-3478	62	10	−	−	PROPN
iajs-3478	62	11	σβ0	σβ0	NOUN
iajs-3478	62	12	2	2	NUM
iajs-3478	62	13	cosβ(u̅cosβ	cosβ(u̅cosβ	NOUN
iajs-3478	62	14	−	−	PROPN
iajs-3478	62	15	v̅sinβ	v̅sinβ	PROPN
iajs-3478	62	16	)	)	PUNCT
iajs-3478	63	1	−	−	PROPN
iajs-3478	63	2	μ	μ	NOUN
iajs-3478	63	3	k̅	k̅	PROPN
iajs-3478	63	4	u̅	u̅	PROPN
iajs-3478	63	5	−	−	NOUN
iajs-3478	63	6	μ1∇4u̅	μ1∇4u̅	NOUN
iajs-3478	63	7	+	+	CCONJ
iajs-3478	63	8	pg	pg	NOUN
iajs-3478	63	9	sin	sin	NOUN
iajs-3478	63	10	α∗	α∗	NOUN
iajs-3478	63	11	(	(	PUNCT
iajs-3478	63	12	10	10	NUM
iajs-3478	63	13	)	)	PUNCT
iajs-3478	63	14	ρ	ρ	NOUN
iajs-3478	63	15	(	(	PUNCT
iajs-3478	63	16	∂v̅	∂v̅	PROPN
iajs-3478	63	17	∂t̅	∂t̅	PROPN
iajs-3478	63	18	+	+	NUM
iajs-3478	63	19	u̅	u̅	PROPN
iajs-3478	63	20	∂v̅	∂v̅	PRON
iajs-3478	63	21	∂x̅	∂x̅	NOUN
iajs-3478	63	22	+	+	NUM
iajs-3478	63	23	v̅	v̅	PROPN
iajs-3478	63	24	∂v̅	∂v̅	PRON
iajs-3478	63	25	∂y̅	∂y̅	X
iajs-3478	63	26	)	)	PUNCT
iajs-3478	63	27	−	−	PROPN
iajs-3478	64	1	ρω	ρω	X
iajs-3478	64	2	(	(	PUNCT
iajs-3478	64	3	ωv̅	ωv̅	PROPN
iajs-3478	64	4	+	+	CCONJ
iajs-3478	64	5	2	2	NUM
iajs-3478	64	6	∂v̅	∂v̅	PROPN
iajs-3478	64	7	∂t̅	∂t̅	PROPN
iajs-3478	64	8	)	)	PUNCT
iajs-3478	65	1	=	=	SYM
iajs-3478	65	2	−	−	PROPN
iajs-3478	65	3	∂p̅	∂p̅	PROPN
iajs-3478	65	4	∂y̅	∂y̅	PUNCT
iajs-3478	65	5	+	+	CCONJ
iajs-3478	65	6	∂s̅x̅y̅	∂s̅x̅y̅	NOUN
iajs-3478	65	7	∂x̅	∂x̅	PROPN
iajs-3478	65	8	+	+	CCONJ
iajs-3478	65	9	∂s̅y̅y̅	∂s̅y̅y̅	PROPN
iajs-3478	65	10	∂y̅	∂y̅	VERB
iajs-3478	65	11	−	−	PROPN
iajs-3478	65	12	σβ0	σβ0	NOUN
iajs-3478	65	13	2	2	NUM
iajs-3478	65	14	sinβ(u̅cosβ	sinβ(u̅cosβ	PROPN
iajs-3478	65	15	−	−	PROPN
iajs-3478	65	16	v̅sinβ	v̅sinβ	PROPN
iajs-3478	65	17	)	)	PUNCT
iajs-3478	65	18	−	−	PROPN
iajs-3478	65	19	μ	μ	NOUN
iajs-3478	65	20	k̅	k̅	PROPN
iajs-3478	65	21	v̅	v̅	NOUN
iajs-3478	65	22	−	−	PROPN
iajs-3478	65	23	μ1∇4v̅	μ1∇4v̅	PROPN
iajs-3478	65	24	+	+	CCONJ
iajs-3478	65	25	pg	pg	PROPN
iajs-3478	65	26	cos	cos	PROPN
iajs-3478	65	27	α∗	α∗	NOUN
iajs-3478	65	28	(	(	PUNCT
iajs-3478	65	29	11	11	NUM
iajs-3478	65	30	)	)	PUNCT
iajs-3478	65	31	ρcp	ρcp	NOUN
iajs-3478	65	32	(	(	PUNCT
iajs-3478	65	33	∂	∂	NUM
iajs-3478	65	34	∂t̅	∂t̅	PROPN
iajs-3478	65	35	+	+	NUM
iajs-3478	65	36	u̅	u̅	INTJ
iajs-3478	65	37	∂	∂	ADJ
iajs-3478	65	38	∂x̅	∂x̅	PROPN
iajs-3478	65	39	+	+	CCONJ
iajs-3478	65	40	v̅	v̅	PROPN
iajs-3478	65	41	∂	∂	NUM
iajs-3478	65	42	∂y̅	∂y̅	X
iajs-3478	65	43	)	)	PUNCT
iajs-3478	65	44	t̅	t̅	X
iajs-3478	65	45	=	=	SYM
iajs-3478	65	46	k′	k′	PROPN
iajs-3478	65	47	(	(	PUNCT
iajs-3478	65	48	∂2	∂2	NUM
iajs-3478	65	49	∂t̅2	∂t̅2	NOUN
iajs-3478	65	50	+	+	CCONJ
iajs-3478	65	51	∂2	∂2	NOUN
iajs-3478	65	52	∂x̅2	∂x̅2	NOUN
iajs-3478	65	53	+	+	CCONJ
iajs-3478	65	54	∂2	∂2	PROPN
iajs-3478	65	55	∂y̅2	∂y̅2	NOUN
iajs-3478	65	56	)	)	PUNCT
iajs-3478	65	57	t̅	t̅	PUNCT
iajs-3478	66	1	+	+	NUM
iajs-3478	66	2	μ	μ	PROPN
iajs-3478	67	1	[	[	X
iajs-3478	67	2	(	(	PUNCT
iajs-3478	67	3	∂u̅	∂u̅	X
iajs-3478	67	4	∂y̅	∂y̅	X
iajs-3478	67	5	+	+	CCONJ
iajs-3478	67	6	∂v̅	∂v̅	PROPN
iajs-3478	67	7	∂x̅	∂x̅	PROPN
iajs-3478	67	8	)	)	PUNCT
iajs-3478	67	9	2	2	NUM
iajs-3478	67	10	+	+	NUM
iajs-3478	67	11	2	2	NUM
iajs-3478	67	12	(	(	PUNCT
iajs-3478	67	13	∂u̅	∂u̅	PUNCT
iajs-3478	67	14	∂x̅	∂x̅	PROPN
iajs-3478	67	15	)	)	PUNCT
iajs-3478	67	16	2	2	NUM
iajs-3478	67	17	+	+	NUM
iajs-3478	67	18	2	2	NUM
iajs-3478	67	19	(	(	PUNCT
iajs-3478	67	20	∂v̅	∂v̅	X
iajs-3478	67	21	∂y̅	∂y̅	X
iajs-3478	67	22	)	)	PUNCT
iajs-3478	67	23	2	2	NUM
iajs-3478	67	24	]	]	PUNCT
iajs-3478	67	25	(	(	PUNCT
iajs-3478	67	26	12	12	NUM
iajs-3478	67	27	)	)	PUNCT
iajs-3478	67	28	let	let	VERB
iajs-3478	67	29	∇2=	∇2=	PROPN
iajs-3478	67	30	(	(	PUNCT
iajs-3478	67	31	∂2	∂2	PROPN
iajs-3478	67	32	∂x	∂x	PROPN
iajs-3478	67	33	̅2	̅2	PUNCT
iajs-3478	68	1	+	+	CCONJ
iajs-3478	68	2	∂2	∂2	PROPN
iajs-3478	68	3	∂x̅2	∂x̅2	NOUN
iajs-3478	68	4	)	)	PUNCT
iajs-3478	69	1	then	then	ADV
iajs-3478	69	2	∇4=	∇4=	PROPN
iajs-3478	69	3	(	(	PUNCT
iajs-3478	69	4	∇2)2	∇2)2	NOUN
iajs-3478	69	5	where	where	SCONJ
iajs-3478	69	6	𝜌	𝜌	PRON
iajs-3478	69	7	is	be	AUX
iajs-3478	69	8	the	the	DET
iajs-3478	69	9	fluid	fluid	ADJ
iajs-3478	69	10	density	density	NOUN
iajs-3478	69	11	,	,	PUNCT
iajs-3478	69	12	�	�	NOUN
iajs-3478	69	13	̅	̅	NOUN
iajs-3478	69	14	�	�	NOUN
iajs-3478	69	15	=	=	SYM
iajs-3478	69	16	[	[	PUNCT
iajs-3478	69	17	�	�	NOUN
iajs-3478	69	18	̅	̅	NOUN
iajs-3478	69	19	�	�	PROPN
iajs-3478	69	20	,	,	PUNCT
iajs-3478	69	21	�	�	NOUN
iajs-3478	69	22	̅	̅	NOUN
iajs-3478	69	23	�	�	NOUN
iajs-3478	69	24	]	]	PUNCT
iajs-3478	69	25	is	be	AUX
iajs-3478	69	26	the	the	DET
iajs-3478	69	27	velocity	velocity	NOUN
iajs-3478	69	28	vector	vector	NOUN
iajs-3478	69	29	,	,	PUNCT
iajs-3478	69	30	�	�	NOUN
iajs-3478	69	31	̅	̅	NOUN
iajs-3478	69	32	�	�	NOUN
iajs-3478	69	33	is	be	AUX
iajs-3478	69	34	the	the	DET
iajs-3478	69	35	hydrodynamic	hydrodynamic	ADJ
iajs-3478	69	36	pressure	pressure	NOUN
iajs-3478	69	37	,	,	PUNCT
iajs-3478	69	38	𝑆	𝑆	PROPN
iajs-3478	69	39	�	�	PROPN
iajs-3478	69	40	̅̅	̅̅	PROPN
iajs-3478	69	41	�	�	PROPN
iajs-3478	69	42	�	�	PROPN
iajs-3478	69	43	̅	̅	NOUN
iajs-3478	69	44	�	�	PROPN
iajs-3478	69	45	,	,	PUNCT
iajs-3478	69	46	𝑆	𝑆	PROPN
iajs-3478	69	47	�	�	PROPN
iajs-3478	69	48	̅̅	̅̅	PROPN
iajs-3478	69	49	�	�	PROPN
iajs-3478	69	50	�	�	PROPN
iajs-3478	69	51	̅	̅	NOUN
iajs-3478	69	52	�	�	PROPN
iajs-3478	69	53	,	,	PUNCT
iajs-3478	69	54	𝑎𝑛𝑑	𝑎𝑛𝑑	PROPN
iajs-3478	69	55	𝑆	𝑆	PROPN
iajs-3478	69	56	�	�	PROPN
iajs-3478	69	57	̅̅	̅̅	PROPN
iajs-3478	69	58	�	�	PROPN
iajs-3478	69	59	�	�	PROPN
iajs-3478	69	60	̅	̅	NOUN
iajs-3478	69	61	�	�	NOUN
iajs-3478	69	62	are	be	AUX
iajs-3478	69	63	the	the	DET
iajs-3478	69	64	elements	element	NOUN
iajs-3478	69	65	of	of	ADP
iajs-3478	69	66	the	the	DET
iajs-3478	69	67	extra	extra	ADJ
iajs-3478	69	68	stress	stress	NOUN
iajs-3478	69	69	tensor	tensor	NOUN
iajs-3478	69	70	𝑆̅	𝑆̅	PROPN
iajs-3478	69	71	,	,	PUNCT
iajs-3478	69	72	𝜎	𝜎	PROPN
iajs-3478	69	73	is	be	AUX
iajs-3478	69	74	the	the	DET
iajs-3478	69	75	electrical	electrical	ADJ
iajs-3478	69	76	conductivity	conductivity	NOUN
iajs-3478	69	77	,	,	PUNCT
iajs-3478	69	78	𝛽0	𝛽0	PROPN
iajs-3478	69	79	is	be	AUX
iajs-3478	69	80	the	the	DET
iajs-3478	69	81	constant	constant	ADJ
iajs-3478	69	82	magnetic	magnetic	ADJ
iajs-3478	69	83	field	field	NOUN
iajs-3478	69	84	,	,	PUNCT
iajs-3478	69	85	𝛽	𝛽	NOUN
iajs-3478	69	86	is	be	AUX
iajs-3478	69	87	the	the	DET
iajs-3478	69	88	inclination	inclination	NOUN
iajs-3478	69	89	of	of	ADP
iajs-3478	69	90	the	the	DET
iajs-3478	69	91	magnetic	magnetic	ADJ
iajs-3478	69	92	field	field	NOUN
iajs-3478	69	93	,	,	PUNCT
iajs-3478	69	94	ω	ω	PROPN
iajs-3478	69	95	is	be	AUX
iajs-3478	69	96	the	the	DET
iajs-3478	69	97	rotation	rotation	NOUN
iajs-3478	69	98	𝐶𝑃	𝐶𝑃	PROPN
iajs-3478	69	99	is	be	AUX
iajs-3478	69	100	specific	specific	ADJ
iajs-3478	69	101	heat	heat	NOUN
iajs-3478	69	102	,	,	PUNCT
iajs-3478	69	103	𝑘′	𝑘′	PROPN
iajs-3478	69	104	is	be	AUX
iajs-3478	69	105	the	the	DET
iajs-3478	69	106	thermal	thermal	ADJ
iajs-3478	69	107	conductivity	conductivity	NOUN
iajs-3478	69	108	,	,	PUNCT
iajs-3478	69	109	�	�	NOUN
iajs-3478	69	110	̅	̅	NOUN
iajs-3478	69	111	�	�	NOUN
iajs-3478	69	112	is	be	AUX
iajs-3478	69	113	a	a	DET
iajs-3478	69	114	temperature	temperature	NOUN
iajs-3478	69	115	,	,	PUNCT
iajs-3478	69	116	and	and	CCONJ
iajs-3478	69	117	𝜇	𝜇	X
iajs-3478	69	118	for	for	ADP
iajs-3478	69	119	viscosity	viscosity	NOUN
iajs-3478	69	120	.	.	PUNCT
iajs-3478	70	1	listed	list	VERB
iajs-3478	70	2	below	below	ADV
iajs-3478	70	3	are	be	AUX
iajs-3478	70	4	the	the	DET
iajs-3478	70	5	parts	part	NOUN
iajs-3478	70	6	of	of	ADP
iajs-3478	70	7	powell	powell	PROPN
iajs-3478	70	8	-	-	PUNCT
iajs-3478	70	9	additional	additional	ADJ
iajs-3478	70	10	eying	eying	NOUN
iajs-3478	70	11	's	's	PART
iajs-3478	70	12	stress	stress	NOUN
iajs-3478	70	13	tensor	tensor	NOUN
iajs-3478	70	14	,	,	PUNCT
iajs-3478	70	15	as	as	SCONJ
iajs-3478	70	16	described	describe	VERB
iajs-3478	70	17	by	by	ADP
iajs-3478	70	18	equation	equation	NOUN
iajs-3478	70	19	(	(	PUNCT
iajs-3478	70	20	5	5	NUM
iajs-3478	70	21	)	)	PUNCT
iajs-3478	70	22	s̅x̅x̅	s̅x̅x̅	NOUN
iajs-3478	71	1	=	=	SYM
iajs-3478	71	2	2	2	NUM
iajs-3478	71	3	(	(	PUNCT
iajs-3478	71	4	μ	μ	NOUN
iajs-3478	71	5	+	+	NOUN
iajs-3478	71	6	1	1	NUM
iajs-3478	71	7	βc1	βc1	NOUN
iajs-3478	71	8	)	)	PUNCT
iajs-3478	71	9	u̅x̅	u̅x̅	ADJ
iajs-3478	71	10	−	−	ADP
iajs-3478	71	11	1	1	NUM
iajs-3478	71	12	3βc1	3βc1	NUM
iajs-3478	71	13	3	3	NUM
iajs-3478	71	14	[	[	X
iajs-3478	71	15	2u̅x̅	2u̅x̅	NUM
iajs-3478	71	16	2	2	NUM
iajs-3478	71	17	+	+	CCONJ
iajs-3478	71	18	(	(	PUNCT
iajs-3478	71	19	v̅x̅	v̅x̅	NOUN
iajs-3478	71	20	+	+	CCONJ
iajs-3478	71	21	u̅y̅)2	u̅y̅)2	ADJ
iajs-3478	71	22	+	+	CCONJ
iajs-3478	71	23	2v̅y	2v̅y	NUM
iajs-3478	71	24	2	2	NUM
iajs-3478	71	25	]	]	PUNCT
iajs-3478	71	26	u̅x̅	u̅x̅	ADJ
iajs-3478	71	27	(	(	PUNCT
iajs-3478	71	28	13	13	NUM
iajs-3478	71	29	)	)	PUNCT
iajs-3478	71	30	s̅x̅y̅	s̅x̅y̅	NOUN
iajs-3478	71	31	=	=	SYM
iajs-3478	71	32	2	2	NUM
iajs-3478	71	33	(	(	PUNCT
iajs-3478	71	34	μ	μ	NOUN
iajs-3478	71	35	+	+	NOUN
iajs-3478	71	36	1	1	NUM
iajs-3478	71	37	βc1	βc1	NOUN
iajs-3478	71	38	)	)	PUNCT
iajs-3478	71	39	(	(	PUNCT
iajs-3478	71	40	v̅x̅	v̅x̅	NOUN
iajs-3478	71	41	+	+	CCONJ
iajs-3478	71	42	u̅y̅	u̅y̅	NOUN
iajs-3478	71	43	)	)	PUNCT
iajs-3478	71	44	−	−	NOUN
iajs-3478	71	45	1	1	NUM
iajs-3478	71	46	6βc1	6βc1	NUM
iajs-3478	71	47	3	3	NUM
iajs-3478	72	1	[	[	X
iajs-3478	72	2	2u̅x̅	2u̅x̅	NUM
iajs-3478	72	3	2	2	NUM
iajs-3478	72	4	+	+	CCONJ
iajs-3478	72	5	(	(	PUNCT
iajs-3478	72	6	v̅x̅	v̅x̅	NOUN
iajs-3478	72	7	+	+	CCONJ
iajs-3478	72	8	u̅y̅)2	u̅y̅)2	ADJ
iajs-3478	72	9	+	+	CCONJ
iajs-3478	72	10	2v̅y	2v̅y	PROPN
iajs-3478	72	11	2	2	NUM
iajs-3478	72	12	]	]	PUNCT
iajs-3478	72	13	(	(	PUNCT
iajs-3478	72	14	v̅x̅	v̅x̅	NOUN
iajs-3478	72	15	+	+	CCONJ
iajs-3478	72	16	u̅y̅	u̅y̅	NOUN
iajs-3478	72	17	)	)	PUNCT
iajs-3478	72	18	(	(	PUNCT
iajs-3478	72	19	14	14	NUM
iajs-3478	72	20	)	)	PUNCT
iajs-3478	72	21	s̅y̅y̅	s̅y̅y̅	NOUN
iajs-3478	73	1	=	=	SYM
iajs-3478	73	2	2	2	NUM
iajs-3478	73	3	(	(	PUNCT
iajs-3478	73	4	μ	μ	NOUN
iajs-3478	73	5	+	+	NOUN
iajs-3478	73	6	1	1	NUM
iajs-3478	73	7	βc1	βc1	NOUN
iajs-3478	73	8	)	)	PUNCT
iajs-3478	73	9	v̅y̅	v̅y̅	NOUN
iajs-3478	73	10	−	−	NOUN
iajs-3478	73	11	1	1	NUM
iajs-3478	73	12	3βc1	3βc1	NUM
iajs-3478	73	13	3	3	NUM
iajs-3478	74	1	[	[	X
iajs-3478	74	2	2u̅x̅	2u̅x̅	NUM
iajs-3478	74	3	2	2	NUM
iajs-3478	74	4	+	+	CCONJ
iajs-3478	74	5	(	(	PUNCT
iajs-3478	74	6	v̅x̅	v̅x̅	NOUN
iajs-3478	74	7	+	+	CCONJ
iajs-3478	74	8	u̅y̅)2	u̅y̅)2	ADJ
iajs-3478	74	9	+	+	CCONJ
iajs-3478	74	10	2v̅y	2v̅y	PROPN
iajs-3478	74	11	2	2	NUM
iajs-3478	74	12	]	]	SYM
iajs-3478	74	13	v̅y̅	v̅y̅	NOUN
iajs-3478	74	14	(	(	PUNCT
iajs-3478	74	15	15	15	NUM
iajs-3478	74	16	)	)	PUNCT
iajs-3478	74	17	natural	natural	ADJ
iajs-3478	74	18	peristaltic	peristaltic	ADJ
iajs-3478	74	19	motion	motion	NOUN
iajs-3478	74	20	is	be	AUX
iajs-3478	74	21	an	an	DET
iajs-3478	74	22	erratic	erratic	ADJ
iajs-3478	74	23	occurrence	occurrence	NOUN
iajs-3478	74	24	,	,	PUNCT
iajs-3478	74	25	but	but	CCONJ
iajs-3478	74	26	it	it	PRON
iajs-3478	74	27	applying	apply	VERB
iajs-3478	74	28	the	the	DET
iajs-3478	74	29	transformation	transformation	NOUN
iajs-3478	74	30	from	from	ADP
iajs-3478	74	31	the	the	DET
iajs-3478	74	32	laboratory	laboratory	NOUN
iajs-3478	74	33	frame	frame	NOUN
iajs-3478	74	34	,	,	PUNCT
iajs-3478	74	35	stability	stability	NOUN
iajs-3478	74	36	can	can	AUX
iajs-3478	74	37	be	be	AUX
iajs-3478	74	38	assumed	assume	VERB
iajs-3478	74	39	(	(	PUNCT
iajs-3478	74	40	fixed	fix	VERB
iajs-3478	74	41	frame	frame	NOUN
iajs-3478	74	42	)	)	PUNCT
iajs-3478	74	43	(	(	PUNCT
iajs-3478	74	44	�	�	NOUN
iajs-3478	74	45	̅	̅	NOUN
iajs-3478	74	46	�	�	PROPN
iajs-3478	74	47	,	,	PUNCT
iajs-3478	74	48	�	�	PROPN
iajs-3478	74	49	̅	̅	NOUN
iajs-3478	74	50	�	�	PROPN
iajs-3478	74	51	)to	)to	ADJ
iajs-3478	74	52	wave	wave	NOUN
iajs-3478	74	53	frame	frame	NOUN
iajs-3478	74	54	(	(	PUNCT
iajs-3478	74	55	move	move	NOUN
iajs-3478	74	56	frame	frame	NOUN
iajs-3478	74	57	)	)	PUNCT
iajs-3478	74	58	(	(	PUNCT
iajs-3478	74	59	�	�	NOUN
iajs-3478	74	60	̅	̅	NOUN
iajs-3478	74	61	�	�	PROPN
iajs-3478	74	62	,	,	PUNCT
iajs-3478	74	63	�	�	NOUN
iajs-3478	74	64	̅	̅	NOUN
iajs-3478	74	65	�	�	NOUN
iajs-3478	74	66	)	)	PUNCT
iajs-3478	74	67	.	.	PUNCT
iajs-3478	75	1	the	the	DET
iajs-3478	75	2	subsequent	subsequent	ADJ
iajs-3478	75	3	transformations	transformation	NOUN
iajs-3478	75	4	determine	determine	VERB
iajs-3478	75	5	the	the	DET
iajs-3478	75	6	connection	connection	NOUN
iajs-3478	75	7	between	between	ADP
iajs-3478	75	8	pressure	pressure	NOUN
iajs-3478	75	9	,	,	PUNCT
iajs-3478	75	10	velocities	velocity	NOUN
iajs-3478	75	11	,	,	PUNCT
iajs-3478	75	12	and	and	CCONJ
iajs-3478	75	13	coordinates	coordinate	NOUN
iajs-3478	75	14	in	in	ADP
iajs-3478	75	15	a	a	DET
iajs-3478	75	16	laboratory	laboratory	NOUN
iajs-3478	75	17	frame	frame	NOUN
iajs-3478	75	18	(	(	PUNCT
iajs-3478	75	19	�	�	NOUN
iajs-3478	75	20	̅	̅	NOUN
iajs-3478	75	21	�	�	PROPN
iajs-3478	75	22	,	,	PUNCT
iajs-3478	75	23	�	�	PROPN
iajs-3478	75	24	̅	̅	NOUN
iajs-3478	75	25	�	�	NOUN
iajs-3478	75	26	)	)	PUNCT
iajs-3478	75	27	to	to	PART
iajs-3478	75	28	wave	wave	VERB
iajs-3478	75	29	frame	frame	NOUN
iajs-3478	75	30	(	(	PUNCT
iajs-3478	75	31	�	�	NOUN
iajs-3478	75	32	̅	̅	NOUN
iajs-3478	75	33	�	�	PROPN
iajs-3478	75	34	,	,	PUNCT
iajs-3478	75	35	�	�	PROPN
iajs-3478	75	36	̅	̅	NOUN
iajs-3478	75	37	�	�	NOUN
iajs-3478	75	38	)	)	PUNCT
iajs-3478	75	39	x̅	x̅	PUNCT
iajs-3478	76	1	=	=	PUNCT
iajs-3478	77	1	x̅	x̅	PROPN
iajs-3478	77	2	−	−	PROPN
iajs-3478	77	3	c	c	X
iajs-3478	77	4	,	,	PUNCT
iajs-3478	77	5	y̅	y̅	PROPN
iajs-3478	77	6	=	=	SYM
iajs-3478	77	7	y	y	PROPN
iajs-3478	77	8	̅	̅	NOUN
iajs-3478	77	9	,	,	PUNCT
iajs-3478	77	10	u̅	u̅	PUNCT
iajs-3478	77	11	=	=	PUNCT
iajs-3478	78	1	u̅	u̅	INTJ
iajs-3478	79	1	−	−	NOUN
iajs-3478	79	2	c	c	X
iajs-3478	79	3	,	,	PUNCT
iajs-3478	79	4	v̅	v̅	PROPN
iajs-3478	79	5	=	=	SYM
iajs-3478	79	6	v̅	v̅	PROPN
iajs-3478	79	7	,	,	PUNCT
iajs-3478	79	8	p̅(x̅	p̅(x̅	PROPN
iajs-3478	79	9	,	,	PUNCT
iajs-3478	79	10	y̅	y̅	ADJ
iajs-3478	79	11	)	)	PUNCT
iajs-3478	79	12	=	=	SYM
iajs-3478	79	13	p̅(x̅	p̅(x̅	PROPN
iajs-3478	79	14	,	,	PUNCT
iajs-3478	79	15	y̅	y̅	PROPN
iajs-3478	79	16	,	,	PUNCT
iajs-3478	79	17	t)̅	t)̅	VERB
iajs-3478	79	18	(	(	PUNCT
iajs-3478	79	19	16	16	NUM
iajs-3478	79	20	)	)	PUNCT
iajs-3478	79	21	where	where	SCONJ
iajs-3478	79	22	�	�	NOUN
iajs-3478	79	23	̅	̅	VERB
iajs-3478	79	24	�	�	PROPN
iajs-3478	79	25	and	and	CCONJ
iajs-3478	79	26	�	�	PROPN
iajs-3478	79	27	̅	̅	NOUN
iajs-3478	79	28	�	�	PROPN
iajs-3478	79	29	represent	represent	VERB
iajs-3478	79	30	the	the	DET
iajs-3478	79	31	velocity	velocity	NOUN
iajs-3478	79	32	factors	factor	NOUN
iajs-3478	79	33	and	and	CCONJ
iajs-3478	79	34	�	�	NOUN
iajs-3478	79	35	̅	̅	NOUN
iajs-3478	79	36	�	�	NOUN
iajs-3478	79	37	represents	represent	VERB
iajs-3478	79	38	the	the	DET
iajs-3478	79	39	pressure	pressure	NOUN
iajs-3478	79	40	in	in	ADP
iajs-3478	79	41	the	the	DET
iajs-3478	79	42	wave	wave	NOUN
iajs-3478	79	43	frame	frame	NOUN
iajs-3478	79	44	.	.	PUNCT
iajs-3478	80	1	now	now	ADV
iajs-3478	80	2	that	that	DET
iajs-3478	80	3	equation	equation	NOUN
iajs-3478	80	4	(	(	PUNCT
iajs-3478	80	5	15	15	NUM
iajs-3478	80	6	)	)	PUNCT
iajs-3478	80	7	has	have	AUX
iajs-3478	80	8	been	be	AUX
iajs-3478	80	9	substituted	substitute	VERB
iajs-3478	80	10	into	into	ADP
iajs-3478	80	11	equation	equation	NOUN
iajs-3478	80	12	(	(	PUNCT
iajs-3478	80	13	1	1	NUM
iajs-3478	80	14	)	)	PUNCT
iajs-3478	80	15	,	,	PUNCT
iajs-3478	80	16	(	(	PUNCT
iajs-3478	80	17	2	2	NUM
iajs-3478	80	18	)	)	PUNCT
iajs-3478	80	19	,	,	PUNCT
iajs-3478	80	20	and	and	CCONJ
iajs-3478	80	21	(	(	PUNCT
iajs-3478	80	22	9	9	NUM
iajs-3478	80	23	)	)	PUNCT
iajs-3478	80	24	–	–	PUNCT
iajs-3478	80	25	(	(	PUNCT
iajs-3478	80	26	14	14	NUM
iajs-3478	80	27	)	)	PUNCT
iajs-3478	80	28	,	,	PUNCT
iajs-3478	80	29	the	the	DET
iajs-3478	80	30	resulting	result	VERB
iajs-3478	80	31	equation	equation	NOUN
iajs-3478	80	32	has	have	AUX
iajs-3478	80	33	been	be	AUX
iajs-3478	80	34	normalized	normalize	VERB
iajs-3478	80	35	using	use	VERB
iajs-3478	80	36	the	the	DET
iajs-3478	80	37	non	non	ADJ
iajs-3478	80	38	-	-	ADJ
iajs-3478	80	39	dimensional	dimensional	ADJ
iajs-3478	80	40	variables	variable	NOUN
iajs-3478	80	41	shown	show	VERB
iajs-3478	80	42	below	below	ADP
iajs-3478	80	43	:	:	PUNCT
iajs-3478	80	44	𝑥	𝑥	NOUN
iajs-3478	80	45	=	=	SYM
iajs-3478	80	46	1	1	NUM
iajs-3478	80	47	𝜆	𝜆	DET
iajs-3478	80	48	�	�	PROPN
iajs-3478	80	49	̅	̅	NOUN
iajs-3478	80	50	�	�	NOUN
iajs-3478	80	51	,	,	PUNCT
iajs-3478	80	52	𝑦	𝑦	NOUN
iajs-3478	80	53	=	=	SYM
iajs-3478	80	54	1	1	NUM
iajs-3478	80	55	𝑑	𝑑	PROPN
iajs-3478	80	56	�	�	PROPN
iajs-3478	80	57	̅	̅	NOUN
iajs-3478	80	58	�	�	NOUN
iajs-3478	80	59	,	,	PUNCT
iajs-3478	80	60	𝑢	𝑢	X
iajs-3478	80	61	=	=	SYM
iajs-3478	80	62	1	1	NUM
iajs-3478	80	63	𝑐	𝑐	PROPN
iajs-3478	80	64	�	�	PROPN
iajs-3478	80	65	̅	̅	NOUN
iajs-3478	80	66	�	�	NOUN
iajs-3478	80	67	,	,	PUNCT
iajs-3478	80	68	𝑣	𝑣	X
iajs-3478	80	69	=	=	SYM
iajs-3478	80	70	1	1	NUM
iajs-3478	80	71	𝛿𝑐	𝛿𝑐	PROPN
iajs-3478	80	72	�	�	PROPN
iajs-3478	80	73	̅	̅	NOUN
iajs-3478	80	74	�	�	NOUN
iajs-3478	80	75	,	,	PUNCT
iajs-3478	80	76	𝑝	𝑝	NOUN
iajs-3478	80	77	=	=	PUNCT
iajs-3478	81	1	𝑑2	𝑑2	NOUN
iajs-3478	81	2	𝜆	𝜆	ADP
iajs-3478	81	3	𝜇	𝜇	ADP
iajs-3478	81	4	𝑐	𝑐	PROPN
iajs-3478	81	5	�	�	PROPN
iajs-3478	81	6	̅	̅	NOUN
iajs-3478	81	7	�	�	NOUN
iajs-3478	81	8	,	,	PUNCT
iajs-3478	81	9	𝑡	𝑡	X
iajs-3478	81	10	=	=	PROPN
iajs-3478	81	11	𝑐	𝑐	PROPN
iajs-3478	81	12	𝜆	𝜆	PROPN
iajs-3478	81	13	𝑡,̅	𝑡,̅	NOUN
iajs-3478	81	14	ℎ1	ℎ1	PROPN
iajs-3478	81	15	=	=	NOUN
iajs-3478	81	16	1	1	NUM
iajs-3478	81	17	𝑑	𝑑	PROPN
iajs-3478	81	18	ℎ1	ℎ1	PROPN
iajs-3478	81	19	̅̅	̅̅	NOUN
iajs-3478	81	20	̅	̅	NOUN
iajs-3478	81	21	,	,	PUNCT
iajs-3478	81	22	ℎ2	ℎ2	NOUN
iajs-3478	81	23	=	=	SYM
iajs-3478	81	24	1	1	NUM
iajs-3478	81	25	𝑑	𝑑	NOUN
iajs-3478	81	26	ℎ2	ℎ2	ADJ
iajs-3478	81	27	̅̅	̅̅	NOUN
iajs-3478	81	28	̅	̅	NOUN
iajs-3478	81	29	,	,	PUNCT
iajs-3478	81	30	𝛿	𝛿	PROPN
iajs-3478	81	31	=	=	X
iajs-3478	81	32	𝑑	𝑑	NOUN
iajs-3478	81	33	𝜆	𝜆	NOUN
iajs-3478	81	34	,	,	PUNCT
iajs-3478	81	35	𝑅𝑒	𝑅𝑒	PROPN
iajs-3478	81	36	=	=	SYM
iajs-3478	81	37	𝜌	𝜌	ADP
iajs-3478	81	38	𝑐	𝑐	PROPN
iajs-3478	81	39	𝑑	𝑑	NOUN
iajs-3478	81	40	𝜇	𝜇	ADV
iajs-3478	81	41	,	,	PUNCT
iajs-3478	81	42	𝐻𝑎	𝐻𝑎	PROPN
iajs-3478	81	43	=	=	PUNCT
iajs-3478	81	44	𝑑√	𝑑√	PROPN
iajs-3478	81	45	𝜎	𝜎	PROPN
iajs-3478	81	46	𝜇	𝜇	X
iajs-3478	81	47	𝛽0	𝛽0	NOUN
iajs-3478	81	48	,	,	PUNCT
iajs-3478	81	49	𝐷𝑎	𝐷𝑎	PROPN
iajs-3478	81	50	=	=	PUNCT
iajs-3478	81	51	�	�	NOUN
iajs-3478	81	52	̅	̅	NOUN
iajs-3478	81	53	�	�	NOUN
iajs-3478	81	54	𝑑2	𝑑2	NOUN
iajs-3478	81	55	,	,	PUNCT
iajs-3478	81	56	𝑤	𝑤	ADP
iajs-3478	81	57	=	=	SYM
iajs-3478	81	58	1	1	NUM
iajs-3478	81	59	𝜇	𝜇	ADP
iajs-3478	81	60	𝛽	𝛽	NOUN
iajs-3478	81	61	𝐶1	𝐶1	NOUN
iajs-3478	81	62	,	,	PUNCT
iajs-3478	81	63	𝐴	𝐴	PROPN
iajs-3478	81	64	=	=	SYM
iajs-3478	81	65	𝑤	𝑤	ADP
iajs-3478	81	66	6	6	NUM
iajs-3478	81	67	(	(	PUNCT
iajs-3478	81	68	𝐶	𝐶	PROPN
iajs-3478	81	69	𝐶1	𝐶1	PROPN
iajs-3478	81	70	𝑑	𝑑	NOUN
iajs-3478	81	71	)	)	PUNCT
iajs-3478	81	72	2	2	NUM
iajs-3478	81	73	,	,	PUNCT
iajs-3478	81	74	�	�	NOUN
iajs-3478	81	75	̅	̅	NOUN
iajs-3478	81	76	�	�	NOUN
iajs-3478	81	77	=	=	SYM
iajs-3478	81	78	𝑇	𝑇	PROPN
iajs-3478	81	79	−	−	PROPN
iajs-3478	81	80	𝑇0	𝑇0	NOUN
iajs-3478	81	81	,	,	PUNCT
iajs-3478	81	82	𝜃	𝜃	NOUN
iajs-3478	81	83	=	=	SYM
iajs-3478	81	84	𝑇−𝑇0	𝑇−𝑇0	NOUN
iajs-3478	81	85	𝑇1−𝑇0	𝑇1−𝑇0	NOUN
iajs-3478	81	86	,	,	PUNCT
iajs-3478	81	87	𝐹𝑟	𝐹𝑟	PROPN
iajs-3478	81	88	=	=	PUNCT
iajs-3478	81	89	𝑐2	𝑐2	PART
iajs-3478	81	90	𝑑𝑔	𝑑𝑔	NOUN
iajs-3478	81	91	,	,	PUNCT
iajs-3478	81	92	𝛽1	𝛽1	NOUN
iajs-3478	81	93	=	=	SYM
iajs-3478	81	94	𝛽∗	𝛽∗	PROPN
iajs-3478	81	95	𝑑	𝑑	PROPN
iajs-3478	81	96	,	,	PUNCT
iajs-3478	81	97	sxx	sxx	PROPN
iajs-3478	81	98	=	=	PROPN
iajs-3478	82	1	λ	λ	PROPN
iajs-3478	82	2	μ	μ	NOUN
iajs-3478	82	3	c	c	PROPN
iajs-3478	82	4	s̅x̅x̅	s̅x̅x̅	NOUN
iajs-3478	82	5	,	,	PUNCT
iajs-3478	82	6	sxy	sxy	PROPN
iajs-3478	82	7	=	=	PUNCT
iajs-3478	83	1	d	d	X
iajs-3478	83	2	μ	μ	PROPN
iajs-3478	83	3	c	c	PROPN
iajs-3478	83	4	s̅x̅y̅	s̅x̅y̅	NOUN
iajs-3478	83	5	,	,	PUNCT
iajs-3478	83	6	syy	syy	VERB
iajs-3478	83	7	=	=	PROPN
iajs-3478	83	8	d	d	X
iajs-3478	83	9	μ	μ	PROPN
iajs-3478	83	10	c	c	PROPN
iajs-3478	83	11	s̅y̅y̅	s̅y̅y̅	PROPN
iajs-3478	83	12	(	(	PUNCT
iajs-3478	83	13	17	17	NUM
iajs-3478	83	14	)	)	PUNCT
iajs-3478	83	15	where	where	SCONJ
iajs-3478	83	16	,	,	PUNCT
iajs-3478	83	17	(	(	PUNCT
iajs-3478	83	18	𝛿	𝛿	X
iajs-3478	83	19	)	)	PUNCT
iajs-3478	83	20	is	be	AUX
iajs-3478	83	21	the	the	DET
iajs-3478	83	22	wave	wave	NOUN
iajs-3478	83	23	number	number	NOUN
iajs-3478	83	24	,	,	PUNCT
iajs-3478	83	25	(	(	PUNCT
iajs-3478	83	26	ℎ1	ℎ1	PROPN
iajs-3478	83	27	)	)	PUNCT
iajs-3478	83	28	and	and	CCONJ
iajs-3478	83	29	(	(	PUNCT
iajs-3478	83	30	ℎ2	ℎ2	NOUN
iajs-3478	83	31	)	)	PUNCT
iajs-3478	83	32	are	be	AUX
iajs-3478	83	33	non	non	ADJ
iajs-3478	83	34	-	-	ADJ
iajs-3478	83	35	dimensional	dimensional	ADJ
iajs-3478	83	36	lower	low	ADJ
iajs-3478	83	37	and	and	CCONJ
iajs-3478	83	38	upper	upper	ADJ
iajs-3478	83	39	wall	wall	NOUN
iajs-3478	83	40	surfaces	surface	NOUN
iajs-3478	83	41	respectively	respectively	ADV
iajs-3478	83	42	,	,	PUNCT
iajs-3478	83	43	(	(	PUNCT
iajs-3478	83	44	re	re	NOUN
iajs-3478	83	45	)	)	PUNCT
iajs-3478	83	46	is	be	AUX
iajs-3478	83	47	the	the	DET
iajs-3478	83	48	reynolds	reynolds	PROPN
iajs-3478	83	49	number	number	NOUN
iajs-3478	83	50	,	,	PUNCT
iajs-3478	83	51	(	(	PUNCT
iajs-3478	83	52	ha	ha	INTJ
iajs-3478	83	53	)	)	PUNCT
iajs-3478	83	54	is	be	AUX
iajs-3478	83	55	the	the	DET
iajs-3478	83	56	hartman	hartman	PROPN
iajs-3478	83	57	number	number	NOUN
iajs-3478	83	58	,	,	PUNCT
iajs-3478	83	59	(	(	PUNCT
iajs-3478	83	60	𝛷	𝛷	NOUN
iajs-3478	83	61	)	)	PUNCT
iajs-3478	83	62	is	be	AUX
iajs-3478	83	63	the	the	DET
iajs-3478	83	64	amplitude	amplitude	NOUN
iajs-3478	83	65	ratio	ratio	NOUN
iajs-3478	83	66	,	,	PUNCT
iajs-3478	83	67	(	(	PUNCT
iajs-3478	83	68	w	w	NOUN
iajs-3478	83	69	)	)	PUNCT
iajs-3478	83	70	is	be	AUX
iajs-3478	83	71	the	the	DET
iajs-3478	83	72	non	non	ADJ
iajs-3478	83	73	-	-	ADJ
iajs-3478	83	74	dimensional	dimensional	ADJ
iajs-3478	83	75	permeability	permeability	NOUN
iajs-3478	83	76	of	of	ADP
iajs-3478	83	77	the	the	DET
iajs-3478	83	78	porous	porous	ADJ
iajs-3478	83	79	medium	medium	NOUN
iajs-3478	83	80	parameter	parameter	NOUN
iajs-3478	83	81	,	,	PUNCT
iajs-3478	83	82	(	(	PUNCT
iajs-3478	83	83	da	da	NOUN
iajs-3478	83	84	)	)	PUNCT
iajs-3478	83	85	is	be	AUX
iajs-3478	83	86	the	the	DET
iajs-3478	83	87	darcy	darcy	PROPN
iajs-3478	83	88	number	number	NOUN
iajs-3478	83	89	,	,	PUNCT
iajs-3478	83	90	(	(	PUNCT
iajs-3478	83	91	a	a	X
iajs-3478	83	92	)	)	PUNCT
iajs-3478	83	93	is	be	AUX
iajs-3478	83	94	the	the	DET
iajs-3478	83	95	powell	powell	NOUN
iajs-3478	83	96	-	-	PUNCT
iajs-3478	83	97	eyring	eyre	VERB
iajs-3478	83	98	fluid	fluid	NOUN
iajs-3478	83	99	parameter	parameter	NOUN
iajs-3478	83	100	,	,	PUNCT
iajs-3478	83	101	(	(	PUNCT
iajs-3478	83	102	𝑇0	𝑇0	NOUN
iajs-3478	83	103	)	)	PUNCT
iajs-3478	83	104	and	and	CCONJ
iajs-3478	83	105	(	(	PUNCT
iajs-3478	83	106	𝑇1	𝑇1	NOUN
iajs-3478	83	107	)	)	PUNCT
iajs-3478	83	108	are	be	AUX
iajs-3478	83	109	the	the	DET
iajs-3478	83	110	temperatures	temperature	NOUN
iajs-3478	83	111	at	at	ADP
iajs-3478	83	112	the	the	DET
iajs-3478	83	113	upper	upper	ADJ
iajs-3478	83	114	and	and	CCONJ
iajs-3478	83	115	lower	low	ADJ
iajs-3478	83	116	walls	wall	NOUN
iajs-3478	83	117	,	,	PUNCT
iajs-3478	83	118	(	(	PUNCT
iajs-3478	83	119	fr	fr	ADV
iajs-3478	83	120	)	)	PUNCT
iajs-3478	83	121	is	be	AUX
iajs-3478	83	122	the	the	DET
iajs-3478	83	123	froude	froude	ADJ
iajs-3478	83	124	number	number	NOUN
iajs-3478	83	125	and	and	CCONJ
iajs-3478	83	126	(	(	PUNCT
iajs-3478	83	127	𝛼∗	𝛼∗	PROPN
iajs-3478	83	128	)	)	PUNCT
iajs-3478	83	129	inclination	inclination	NOUN
iajs-3478	83	130	angle	angle	NOUN
iajs-3478	83	131	of	of	ADP
iajs-3478	83	132	the	the	DET
iajs-3478	83	133	channel	channel	NOUN
iajs-3478	83	134	to	to	ADP
iajs-3478	83	135	the	the	DET
iajs-3478	83	136	ihjpas	ihjpa	NOUN
iajs-3478	83	137	.	.	PUNCT
iajs-3478	84	1	2025	2025	NUM
iajs-3478	84	2	,	,	PUNCT
iajs-3478	84	3	38(2	38(2	NUM
iajs-3478	84	4	)	)	PUNCT
iajs-3478	84	5	308	308	NUM
iajs-3478	84	6	horizontal	horizontal	ADJ
iajs-3478	84	7	axis	axis	NOUN
iajs-3478	84	8	.	.	PUNCT
iajs-3478	85	1	following	follow	VERB
iajs-3478	85	2	that	that	PRON
iajs-3478	85	3	is	be	AUX
iajs-3478	85	4	h1(x	h1(x	PROPN
iajs-3478	85	5	,	,	PUNCT
iajs-3478	85	6	t	t	PROPN
iajs-3478	85	7	)	)	PUNCT
iajs-3478	85	8	=	=	SYM
iajs-3478	86	1	1	1	NUM
iajs-3478	86	2	−	−	NOUN
iajs-3478	86	3	a	a	DET
iajs-3478	86	4	sin(2πx	sin(2πx	NOUN
iajs-3478	86	5	)	)	PUNCT
iajs-3478	86	6	,	,	PUNCT
iajs-3478	86	7	a	a	DET
iajs-3478	86	8	=	=	NOUN
iajs-3478	86	9	a1	a1	NOUN
iajs-3478	86	10	d	d	PROPN
iajs-3478	86	11	(	(	PUNCT
iajs-3478	86	12	18	18	NUM
iajs-3478	86	13	)	)	PUNCT
iajs-3478	86	14	h2(x	h2(x	PROPN
iajs-3478	86	15	,	,	PUNCT
iajs-3478	86	16	t	t	PROPN
iajs-3478	86	17	)	)	PUNCT
iajs-3478	86	18	=	=	PUNCT
iajs-3478	87	1	−d∗	−d∗	X
iajs-3478	87	2	−	−	NOUN
iajs-3478	87	3	b	b	NOUN
iajs-3478	87	4	sin	sin	NOUN
iajs-3478	87	5	(	(	PUNCT
iajs-3478	87	6	2πx	2πx	NOUN
iajs-3478	87	7	+	+	CCONJ
iajs-3478	87	8	φ	φ	NUM
iajs-3478	87	9	)	)	PUNCT
iajs-3478	87	10	,	,	PUNCT
iajs-3478	87	11	b	b	X
iajs-3478	87	12	=	=	SYM
iajs-3478	87	13	a2	a2	PROPN
iajs-3478	87	14	d	d	PROPN
iajs-3478	87	15	,	,	PUNCT
iajs-3478	87	16	d∗	d∗	PROPN
iajs-3478	87	17	=	=	PUNCT
iajs-3478	87	18	d′	d′	NUM
iajs-3478	87	19	d	d	NOUN
iajs-3478	87	20	(	(	PUNCT
iajs-3478	87	21	19	19	NUM
iajs-3478	87	22	)	)	PUNCT
iajs-3478	87	23	where	where	SCONJ
iajs-3478	87	24	a	a	DET
iajs-3478	87	25	,	,	PUNCT
iajs-3478	87	26	b	b	NOUN
iajs-3478	87	27	,	,	PUNCT
iajs-3478	87	28	d	d	PROPN
iajs-3478	87	29	*	*	PUNCT
iajs-3478	87	30	,	,	PUNCT
iajs-3478	87	31	and	and	CCONJ
iajs-3478	87	32	satisfy	satisfy	VERB
iajs-3478	87	33	eq.3	eq.3	PROPN
iajs-3478	87	34	,	,	PUNCT
iajs-3478	87	35	then	then	ADV
iajs-3478	87	36	a2	a2	PROPN
iajs-3478	87	37	+	+	CCONJ
iajs-3478	87	38	b2	b2	NOUN
iajs-3478	87	39	+	+	CCONJ
iajs-3478	87	40	2ab	2ab	NOUN
iajs-3478	87	41	cos	cos	PROPN
iajs-3478	87	42	φ	φ	PROPN
iajs-3478	87	43	≤	≤	NUM
iajs-3478	87	44	(	(	PUNCT
iajs-3478	87	45	1	1	NUM
iajs-3478	87	46	+	+	CCONJ
iajs-3478	87	47	d∗)2	d∗)2	ADJ
iajs-3478	87	48	(	(	PUNCT
iajs-3478	87	49	20	20	NUM
iajs-3478	87	50	)	)	PUNCT
iajs-3478	87	51	∂u	∂u	PROPN
iajs-3478	87	52	∂x	∂x	PROPN
iajs-3478	88	1	+	+	CCONJ
iajs-3478	89	1	∂v	∂v	PROPN
iajs-3478	89	2	∂y	∂y	SYM
iajs-3478	89	3	=	=	SYM
iajs-3478	89	4	0	0	PROPN
iajs-3478	89	5	(	(	PUNCT
iajs-3478	89	6	21	21	NUM
iajs-3478	89	7	)	)	PUNCT
iajs-3478	89	8	𝑅𝑒𝛿	𝑅𝑒𝛿	PROPN
iajs-3478	89	9	(	(	PUNCT
iajs-3478	89	10	𝜕𝑢	𝜕𝑢	NOUN
iajs-3478	89	11	𝜕𝑡	𝜕𝑡	NOUN
iajs-3478	89	12	+	+	NUM
iajs-3478	89	13	𝑢	𝑢	X
iajs-3478	89	14	𝜕𝑢	𝜕𝑢	NOUN
iajs-3478	89	15	𝜕𝑥	𝜕𝑥	NOUN
iajs-3478	89	16	+	+	CCONJ
iajs-3478	89	17	𝑣	𝑣	DET
iajs-3478	89	18	𝜕𝑢	𝜕𝑢	NOUN
iajs-3478	89	19	𝜕𝑦	𝜕𝑦	NOUN
iajs-3478	89	20	)	)	PUNCT
iajs-3478	90	1	−	−	PROPN
iajs-3478	91	1	𝜌𝑑2ω	𝜌𝑑2ω	PROPN
iajs-3478	91	2	𝜇	𝜇	X
iajs-3478	91	3	(	(	PUNCT
iajs-3478	91	4	ω𝑢	ω𝑢	X
iajs-3478	91	5	+	+	SYM
iajs-3478	91	6	2	2	NUM
iajs-3478	91	7	𝛿𝑐	𝛿𝑐	NOUN
iajs-3478	91	8	𝑑	𝑑	PROPN
iajs-3478	91	9	𝜕𝑣	𝜕𝑣	PROPN
iajs-3478	91	10	𝜕𝑡	𝜕𝑡	PROPN
iajs-3478	91	11	)	)	PUNCT
iajs-3478	91	12	=	=	SYM
iajs-3478	92	1	−	−	PROPN
iajs-3478	92	2	𝜕𝑝	𝜕𝑝	NOUN
iajs-3478	92	3	𝜕𝑥	𝜕𝑥	X
iajs-3478	92	4	+	+	CCONJ
iajs-3478	92	5	𝛿2	𝛿2	PROPN
iajs-3478	92	6	𝜕	𝜕	PROPN
iajs-3478	92	7	𝜕𝑥	𝜕𝑥	NOUN
iajs-3478	93	1	𝑆𝑥𝑥	𝑆𝑥𝑥	VERB
iajs-3478	93	2	+	+	CCONJ
iajs-3478	93	3	𝜕	𝜕	NOUN
iajs-3478	93	4	𝜕𝑦	𝜕𝑦	NOUN
iajs-3478	93	5	𝑆𝑥𝑦	𝑆𝑥𝑦	PROPN
iajs-3478	93	6	−ha2	−ha2	X
iajs-3478	93	7	cos	cos	ADP
iajs-3478	93	8	β	β	X
iajs-3478	93	9	(	(	PUNCT
iajs-3478	93	10	u	u	NOUN
iajs-3478	93	11	cos	cos	PROPN
iajs-3478	93	12	β	β	PROPN
iajs-3478	93	13	−	−	PROPN
iajs-3478	93	14	δv	δv	ADV
iajs-3478	93	15	sin	sin	VERB
iajs-3478	93	16	β	β	NOUN
iajs-3478	93	17	)	)	PUNCT
iajs-3478	93	18	−	−	PROPN
iajs-3478	93	19	1	1	NUM
iajs-3478	93	20	da	da	PROPN
iajs-3478	93	21	u	u	NOUN
iajs-3478	93	22	−	−	PROPN
iajs-3478	93	23	1	1	NUM
iajs-3478	93	24	∝2	∝2	PROPN
iajs-3478	93	25	(	(	PUNCT
iajs-3478	93	26	δ4	δ4	NOUN
iajs-3478	93	27	∂4	∂4	NOUN
iajs-3478	93	28	∂x4	∂x4	VERB
iajs-3478	93	29	+	+	CCONJ
iajs-3478	93	30	2δ2	2δ2	NUM
iajs-3478	93	31	∂4	∂4	NUM
iajs-3478	93	32	∂x2	∂x2	NOUN
iajs-3478	93	33	∂y2	∂y2	ADJ
iajs-3478	93	34	+	+	CCONJ
iajs-3478	93	35	∂4	∂4	NUM
iajs-3478	93	36	∂y4	∂y4	NOUN
iajs-3478	93	37	)	)	PUNCT
iajs-3478	93	38	u	u	NOUN
iajs-3478	93	39	+	+	CCONJ
iajs-3478	93	40	re	re	VERB
iajs-3478	93	41	fr	fr	PROPN
iajs-3478	93	42	sin	sin	PROPN
iajs-3478	93	43	α∗(22)reδ3	α∗(22)reδ3	PROPN
iajs-3478	93	44	(	(	PUNCT
iajs-3478	93	45	∂v	∂v	PROPN
iajs-3478	93	46	∂t	∂t	PROPN
iajs-3478	93	47	+	+	CCONJ
iajs-3478	93	48	u	u	PROPN
iajs-3478	93	49	∂v	∂v	PROPN
iajs-3478	93	50	∂x	∂x	PROPN
iajs-3478	93	51	+	+	CCONJ
iajs-3478	93	52	v	v	ADP
iajs-3478	93	53	∂v	∂v	PROPN
iajs-3478	93	54	∂y	∂y	PROPN
iajs-3478	93	55	)	)	PUNCT
iajs-3478	93	56	−	−	PROPN
iajs-3478	94	1	ρd2ωδ	ρd2ωδ	NUM
iajs-3478	94	2	μ	μ	NOUN
iajs-3478	94	3	(	(	PUNCT
iajs-3478	94	4	ωδv	ωδv	PROPN
iajs-3478	94	5	+	+	NUM
iajs-3478	94	6	2	2	NUM
iajs-3478	94	7	δc	δc	NOUN
iajs-3478	94	8	d	d	PROPN
iajs-3478	94	9	∂v	∂v	PROPN
iajs-3478	94	10	∂t	∂t	PROPN
iajs-3478	94	11	)	)	PUNCT
iajs-3478	94	12	=	=	PUNCT
iajs-3478	95	1	−	−	PROPN
iajs-3478	95	2	∂p	∂p	ADJ
iajs-3478	95	3	∂x	∂x	PROPN
iajs-3478	95	4	+	+	CCONJ
iajs-3478	95	5	δ2	δ2	VERB
iajs-3478	95	6	∂	∂	NOUN
iajs-3478	95	7	∂x	∂x	PROPN
iajs-3478	96	1	sxy	sxy	PROPN
iajs-3478	96	2	+	+	PROPN
iajs-3478	96	3	δ	δ	PROPN
iajs-3478	96	4	∂	∂	ADV
iajs-3478	96	5	∂y	∂y	PRON
iajs-3478	96	6	syy	syy	VERB
iajs-3478	96	7	+	+	ADJ
iajs-3478	96	8	ha2	ha2	PROPN
iajs-3478	96	9	sin	sin	NOUN
iajs-3478	96	10	β	β	X
iajs-3478	96	11	(	(	PUNCT
iajs-3478	96	12	δu	δu	X
iajs-3478	96	13	cos	cos	ADP
iajs-3478	96	14	β	β	PROPN
iajs-3478	96	15	−	−	PROPN
iajs-3478	96	16	δ2v	δ2v	PROPN
iajs-3478	96	17	sin	sin	VERB
iajs-3478	96	18	β	β	NOUN
iajs-3478	96	19	)	)	PUNCT
iajs-3478	96	20	−	−	PROPN
iajs-3478	96	21	δ2	δ2	VERB
iajs-3478	96	22	1	1	NUM
iajs-3478	96	23	da	da	NOUN
iajs-3478	96	24	v	v	ADP
iajs-3478	96	25	−	−	PROPN
iajs-3478	96	26	δ2	δ2	VERB
iajs-3478	96	27	∝2	∝2	PROPN
iajs-3478	96	28	(	(	PUNCT
iajs-3478	96	29	δ4	δ4	NOUN
iajs-3478	96	30	∂4	∂4	NOUN
iajs-3478	96	31	∂x4	∂x4	VERB
iajs-3478	96	32	+	+	CCONJ
iajs-3478	96	33	2δ2	2δ2	NUM
iajs-3478	96	34	∂4	∂4	NUM
iajs-3478	96	35	∂x2	∂x2	NOUN
iajs-3478	96	36	∂y2	∂y2	ADJ
iajs-3478	96	37	+	+	CCONJ
iajs-3478	96	38	∂4	∂4	NUM
iajs-3478	96	39	∂y4	∂y4	NOUN
iajs-3478	96	40	)	)	PUNCT
iajs-3478	96	41	v	v	NOUN
iajs-3478	97	1	+	+	CCONJ
iajs-3478	97	2	δ	δ	PROPN
iajs-3478	97	3	re	re	ADJ
iajs-3478	97	4	fr	fr	PROPN
iajs-3478	97	5	cos	cos	PROPN
iajs-3478	97	6	α∗	α∗	NOUN
iajs-3478	97	7	(	(	PUNCT
iajs-3478	97	8	23	23	NUM
iajs-3478	97	9	)	)	PUNCT
iajs-3478	97	10	reδ	reδ	NOUN
iajs-3478	98	1	(	(	PUNCT
iajs-3478	98	2	∂θ	∂θ	PROPN
iajs-3478	98	3	∂t	∂t	PROPN
iajs-3478	98	4	+	+	NUM
iajs-3478	98	5	u	u	NOUN
iajs-3478	98	6	∂θ	∂θ	PROPN
iajs-3478	98	7	∂x	∂x	PROPN
iajs-3478	98	8	+	+	CCONJ
iajs-3478	99	1	v	v	NOUN
iajs-3478	99	2	∂θ	∂θ	NOUN
iajs-3478	99	3	∂y	∂y	X
iajs-3478	99	4	)	)	PUNCT
iajs-3478	99	5	=	=	SYM
iajs-3478	99	6	1	1	NUM
iajs-3478	99	7	pr	pr	NOUN
iajs-3478	99	8	(	(	PUNCT
iajs-3478	99	9	c2δ2	c2δ2	PROPN
iajs-3478	99	10	∂2θ	∂2θ	NOUN
iajs-3478	99	11	∂t2	∂t2	NOUN
iajs-3478	99	12	+	+	CCONJ
iajs-3478	99	13	δ2	δ2	VERB
iajs-3478	99	14	∂2θ	∂2θ	PROPN
iajs-3478	99	15	∂x2	∂x2	PROPN
iajs-3478	99	16	+	+	CCONJ
iajs-3478	99	17	∂2θ	∂2θ	NOUN
iajs-3478	99	18	∂y2	∂y2	NOUN
iajs-3478	99	19	)	)	PUNCT
iajs-3478	100	1	+	+	CCONJ
iajs-3478	100	2	ec	ec	PRON
iajs-3478	101	1	[	[	X
iajs-3478	101	2	(	(	PUNCT
iajs-3478	101	3	∂u	∂u	PROPN
iajs-3478	101	4	∂y	∂y	SYM
iajs-3478	101	5	+	+	CCONJ
iajs-3478	101	6	δ2	δ2	VERB
iajs-3478	101	7	∂v	∂v	PROPN
iajs-3478	101	8	∂x	∂x	PROPN
iajs-3478	101	9	)	)	PUNCT
iajs-3478	101	10	2	2	NUM
iajs-3478	101	11	+	+	CCONJ
iajs-3478	101	12	2δ2	2δ2	NUM
iajs-3478	101	13	(	(	PUNCT
iajs-3478	101	14	∂u	∂u	PROPN
iajs-3478	101	15	∂x	∂x	PROPN
iajs-3478	101	16	)	)	PUNCT
iajs-3478	101	17	2	2	NUM
iajs-3478	101	18	+	+	NUM
iajs-3478	101	19	2δ2	2δ2	NUM
iajs-3478	101	20	(	(	PUNCT
iajs-3478	101	21	∂v	∂v	PROPN
iajs-3478	101	22	∂y	∂y	PROPN
iajs-3478	101	23	)	)	PUNCT
iajs-3478	101	24	2	2	NUM
iajs-3478	101	25	]	]	PUNCT
iajs-3478	101	26	(	(	PUNCT
iajs-3478	101	27	24	24	NUM
iajs-3478	101	28	)	)	PUNCT
iajs-3478	101	29	sxx	sxx	NOUN
iajs-3478	101	30	=	=	SYM
iajs-3478	101	31	2(1	2(1	NUM
iajs-3478	101	32	+	+	CCONJ
iajs-3478	101	33	w	w	NOUN
iajs-3478	101	34	)	)	PUNCT
iajs-3478	101	35	∂u	∂u	PROPN
iajs-3478	101	36	∂x	∂x	PROPN
iajs-3478	101	37	−	−	NOUN
iajs-3478	101	38	2a	2a	NUM
iajs-3478	102	1	[	[	X
iajs-3478	102	2	2δ2	2δ2	NUM
iajs-3478	102	3	(	(	PUNCT
iajs-3478	102	4	∂u	∂u	PROPN
iajs-3478	102	5	∂x	∂x	PROPN
iajs-3478	102	6	)	)	PUNCT
iajs-3478	102	7	2	2	NUM
iajs-3478	103	1	+	+	CCONJ
iajs-3478	103	2	(	(	PUNCT
iajs-3478	103	3	∂u	∂u	PROPN
iajs-3478	103	4	∂y	∂y	SYM
iajs-3478	103	5	+	+	CCONJ
iajs-3478	103	6	δ2	δ2	VERB
iajs-3478	103	7	∂v	∂v	PROPN
iajs-3478	103	8	∂x	∂x	PROPN
iajs-3478	103	9	)	)	PUNCT
iajs-3478	103	10	2	2	NUM
iajs-3478	104	1	+	+	NUM
iajs-3478	104	2	2δ2	2δ2	NUM
iajs-3478	104	3	(	(	PUNCT
iajs-3478	104	4	∂v	∂v	PROPN
iajs-3478	104	5	∂y	∂y	PROPN
iajs-3478	104	6	)	)	PUNCT
iajs-3478	104	7	2	2	NUM
iajs-3478	104	8	]	]	PUNCT
iajs-3478	104	9	∂u	∂u	PROPN
iajs-3478	104	10	∂x	∂x	PROPN
iajs-3478	104	11	(	(	PUNCT
iajs-3478	104	12	25	25	NUM
iajs-3478	104	13	)	)	PUNCT
iajs-3478	104	14	sxy	sxy	NOUN
iajs-3478	104	15	=	=	PUNCT
iajs-3478	104	16	(	(	PUNCT
iajs-3478	104	17	1	1	NUM
iajs-3478	104	18	+	+	NUM
iajs-3478	104	19	w	w	NOUN
iajs-3478	104	20	)	)	PUNCT
iajs-3478	104	21	(	(	PUNCT
iajs-3478	104	22	δ2	δ2	VERB
iajs-3478	104	23	∂v	∂v	PROPN
iajs-3478	104	24	∂x	∂x	PROPN
iajs-3478	104	25	+	+	CCONJ
iajs-3478	104	26	∂u	∂u	PROPN
iajs-3478	104	27	∂y	∂y	PROPN
iajs-3478	104	28	)	)	PUNCT
iajs-3478	104	29	−	−	PROPN
iajs-3478	105	1	a	a	DET
iajs-3478	105	2	[	[	X
iajs-3478	105	3	2δ2	2δ2	NUM
iajs-3478	105	4	(	(	PUNCT
iajs-3478	105	5	∂u	∂u	PROPN
iajs-3478	105	6	∂x	∂x	PROPN
iajs-3478	105	7	)	)	PUNCT
iajs-3478	105	8	2	2	NUM
iajs-3478	106	1	+	+	CCONJ
iajs-3478	106	2	(	(	PUNCT
iajs-3478	106	3	∂u	∂u	PROPN
iajs-3478	106	4	∂y	∂y	SYM
iajs-3478	106	5	+	+	CCONJ
iajs-3478	106	6	δ2	δ2	VERB
iajs-3478	106	7	∂v	∂v	PROPN
iajs-3478	106	8	∂x	∂x	PROPN
iajs-3478	106	9	)	)	PUNCT
iajs-3478	106	10	2	2	NUM
iajs-3478	107	1	+	+	NUM
iajs-3478	107	2	2δ2	2δ2	NUM
iajs-3478	107	3	(	(	PUNCT
iajs-3478	107	4	∂v	∂v	PROPN
iajs-3478	107	5	∂y	∂y	PROPN
iajs-3478	107	6	)	)	PUNCT
iajs-3478	107	7	2	2	NUM
iajs-3478	107	8	]	]	PUNCT
iajs-3478	107	9	(	(	PUNCT
iajs-3478	107	10	δ2	δ2	VERB
iajs-3478	107	11	∂v	∂v	PROPN
iajs-3478	107	12	∂x	∂x	PROPN
iajs-3478	107	13	+	+	CCONJ
iajs-3478	107	14	∂u	∂u	PROPN
iajs-3478	107	15	∂y	∂y	PROPN
iajs-3478	107	16	)	)	PUNCT
iajs-3478	107	17	(	(	PUNCT
iajs-3478	107	18	26	26	NUM
iajs-3478	107	19	)	)	PUNCT
iajs-3478	107	20	syy	syy	VERB
iajs-3478	107	21	=	=	SYM
iajs-3478	107	22	2(1	2(1	NUM
iajs-3478	107	23	+	+	CCONJ
iajs-3478	107	24	w	w	NOUN
iajs-3478	107	25	)	)	PUNCT
iajs-3478	107	26	(	(	PUNCT
iajs-3478	107	27	δ	δ	PROPN
iajs-3478	107	28	∂v	∂v	PROPN
iajs-3478	107	29	∂y	∂y	PROPN
iajs-3478	107	30	)	)	PUNCT
iajs-3478	108	1	−	−	PROPN
iajs-3478	108	2	2aδ	2aδ	NOUN
iajs-3478	109	1	[	[	X
iajs-3478	109	2	2δ2	2δ2	NUM
iajs-3478	109	3	(	(	PUNCT
iajs-3478	109	4	∂u	∂u	PROPN
iajs-3478	109	5	∂x	∂x	PROPN
iajs-3478	109	6	)	)	PUNCT
iajs-3478	109	7	2	2	NUM
iajs-3478	110	1	+	+	CCONJ
iajs-3478	110	2	(	(	PUNCT
iajs-3478	110	3	∂u	∂u	PROPN
iajs-3478	110	4	∂y	∂y	SYM
iajs-3478	110	5	+	+	CCONJ
iajs-3478	110	6	δ2	δ2	VERB
iajs-3478	110	7	∂v	∂v	PROPN
iajs-3478	110	8	∂x	∂x	PROPN
iajs-3478	110	9	)	)	PUNCT
iajs-3478	110	10	2	2	NUM
iajs-3478	111	1	+	+	NUM
iajs-3478	111	2	2δ2	2δ2	NUM
iajs-3478	111	3	(	(	PUNCT
iajs-3478	111	4	∂v	∂v	PROPN
iajs-3478	111	5	∂y	∂y	PROPN
iajs-3478	111	6	)	)	PUNCT
iajs-3478	111	7	2	2	NUM
iajs-3478	111	8	]	]	PUNCT
iajs-3478	111	9	(	(	PUNCT
iajs-3478	111	10	27	27	NUM
iajs-3478	111	11	)	)	PUNCT
iajs-3478	111	12	in	in	ADP
iajs-3478	111	13	previous	previous	ADJ
iajs-3478	111	14	equations	equation	NOUN
iajs-3478	111	15	,	,	PUNCT
iajs-3478	111	16	pr	pr	NOUN
iajs-3478	111	17	is	be	AUX
iajs-3478	111	18	the	the	DET
iajs-3478	111	19	prandtl	prandtl	NOUN
iajs-3478	111	20	number	number	NOUN
iajs-3478	111	21	,	,	PUNCT
iajs-3478	111	22	ec	ec	PROPN
iajs-3478	111	23	is	be	AUX
iajs-3478	111	24	the	the	DET
iajs-3478	111	25	eckert	eckert	PROPN
iajs-3478	111	26	number	number	NOUN
iajs-3478	111	27	and	and	CCONJ
iajs-3478	111	28	θ	θ	PROPN
iajs-3478	111	29	is	be	AUX
iajs-3478	111	30	the	the	DET
iajs-3478	111	31	dimensionless	dimensionless	ADJ
iajs-3478	111	32	temperature	temperature	NOUN
iajs-3478	111	33	.	.	PUNCT
iajs-3478	112	1	following	follow	VERB
iajs-3478	112	2	are	be	AUX
iajs-3478	112	3	the	the	DET
iajs-3478	112	4	relations	relation	NOUN
iajs-3478	112	5	between	between	ADP
iajs-3478	112	6	the	the	DET
iajs-3478	112	7	stream	stream	NOUN
iajs-3478	112	8	function	function	NOUN
iajs-3478	112	9	(	(	PUNCT
iajs-3478	112	10	ψ	ψ	NOUN
iajs-3478	112	11	)	)	PUNCT
iajs-3478	112	12	and	and	CCONJ
iajs-3478	112	13	velocity	velocity	NOUN
iajs-3478	112	14	components	component	NOUN
iajs-3478	112	15	:	:	PUNCT
iajs-3478	112	16	u	u	NOUN
iajs-3478	112	17	=	=	SYM
iajs-3478	112	18	∂ψ	∂ψ	PROPN
iajs-3478	112	19	∂y	∂y	NOUN
iajs-3478	112	20	,	,	PUNCT
iajs-3478	112	21	v	v	NOUN
iajs-3478	112	22	=	=	SYM
iajs-3478	112	23	−	−	PROPN
iajs-3478	112	24	∂ψ	∂ψ	PROPN
iajs-3478	112	25	∂x	∂x	PROPN
iajs-3478	112	26	(	(	PUNCT
iajs-3478	112	27	28	28	NUM
iajs-3478	112	28	)	)	PUNCT
iajs-3478	112	29	substituting	substitute	VERB
iajs-3478	112	30	equation	equation	NOUN
iajs-3478	112	31	(	(	PUNCT
iajs-3478	112	32	28	28	NUM
iajs-3478	112	33	)	)	PUNCT
iajs-3478	112	34	into	into	ADP
iajs-3478	112	35	equations	equation	NOUN
iajs-3478	112	36	(	(	PUNCT
iajs-3478	112	37	21	21	NUM
iajs-3478	112	38	)	)	PUNCT
iajs-3478	112	39	to	to	ADP
iajs-3478	112	40	(	(	PUNCT
iajs-3478	112	41	270	270	NUM
iajs-3478	112	42	,	,	PUNCT
iajs-3478	112	43	noting	note	VERB
iajs-3478	112	44	that	that	SCONJ
iajs-3478	112	45	the	the	DET
iajs-3478	112	46	mass	mass	NOUN
iajs-3478	112	47	balance	balance	NOUN
iajs-3478	112	48	displayed	display	VERB
iajs-3478	112	49	by	by	ADP
iajs-3478	112	50	equation	equation	NOUN
iajs-3478	112	51	(	(	PUNCT
iajs-3478	112	52	21	21	NUM
iajs-3478	112	53	)	)	PUNCT
iajs-3478	112	54	is	be	AUX
iajs-3478	112	55	similarly	similarly	ADV
iajs-3478	112	56	satisfied	satisfied	ADJ
iajs-3478	112	57	,	,	PUNCT
iajs-3478	112	58	produces	produce	VERB
iajs-3478	112	59	the	the	DET
iajs-3478	112	60	consequence	consequence	NOUN
iajs-3478	112	61	that	that	SCONJ
iajs-3478	112	62	equation	equation	NOUN
iajs-3478	112	63	(	(	PUNCT
iajs-3478	112	64	28	28	NUM
iajs-3478	112	65	)	)	PUNCT
iajs-3478	112	66	is	be	AUX
iajs-3478	112	67	satisfied	satisfied	ADJ
iajs-3478	112	68	.	.	PUNCT
iajs-3478	113	1	re	re	VERB
iajs-3478	113	2	δ	δ	PROPN
iajs-3478	113	3	(	(	PUNCT
iajs-3478	113	4	∂2ψ	∂2ψ	PROPN
iajs-3478	113	5	∂t	∂t	PROPN
iajs-3478	113	6	∂y	∂y	PROPN
iajs-3478	113	7	+	+	CCONJ
iajs-3478	113	8	∂3ψ	∂3ψ	PROPN
iajs-3478	113	9	∂x	∂x	PROPN
iajs-3478	113	10	∂y2	∂y2	NOUN
iajs-3478	113	11	−	−	PUNCT
iajs-3478	113	12	∂3ψ	∂3ψ	NOUN
iajs-3478	113	13	∂x	∂x	PROPN
iajs-3478	113	14	∂y2	∂y2	NOUN
iajs-3478	113	15	)	)	PUNCT
iajs-3478	113	16	−	−	PROPN
iajs-3478	114	1	ρd2ω	ρd2ω	PROPN
iajs-3478	114	2	μ	μ	PROPN
iajs-3478	114	3	(	(	PUNCT
iajs-3478	114	4	ω	ω	PROPN
iajs-3478	114	5	∂ψ	∂ψ	PROPN
iajs-3478	114	6	∂y	∂y	PRON
iajs-3478	114	7	−	−	NOUN
iajs-3478	114	8	2	2	NUM
iajs-3478	114	9	δc	δc	NOUN
iajs-3478	114	10	d	d	PROPN
iajs-3478	114	11	∂2ψ	∂2ψ	PROPN
iajs-3478	114	12	∂t	∂t	PROPN
iajs-3478	114	13	∂x	∂x	PROPN
iajs-3478	114	14	)	)	PUNCT
iajs-3478	114	15	=	=	PUNCT
iajs-3478	115	1	−	−	PROPN
iajs-3478	115	2	∂p	∂p	ADJ
iajs-3478	115	3	∂x	∂x	PROPN
iajs-3478	115	4	+	+	CCONJ
iajs-3478	115	5	δ2	δ2	VERB
iajs-3478	115	6	∂	∂	NOUN
iajs-3478	115	7	∂x	∂x	PROPN
iajs-3478	115	8	sxx	sxx	NOUN
iajs-3478	115	9	+	+	CCONJ
iajs-3478	115	10	∂	∂	X
iajs-3478	115	11	∂y	∂y	X
iajs-3478	115	12	sxy	sxy	PROPN
iajs-3478	115	13	−	−	PROPN
iajs-3478	116	1	ha2	ha2	PROPN
iajs-3478	116	2	cos	cos	PROPN
iajs-3478	116	3	β	β	PROPN
iajs-3478	116	4	(	(	PUNCT
iajs-3478	116	5	∂ψ	∂ψ	PROPN
iajs-3478	116	6	∂y	∂y	AUX
iajs-3478	116	7	cos	cos	ADP
iajs-3478	116	8	β	β	PROPN
iajs-3478	116	9	+	+	CCONJ
iajs-3478	116	10	δ	δ	PROPN
iajs-3478	116	11	∂ψ	∂ψ	PROPN
iajs-3478	116	12	∂x	∂x	PROPN
iajs-3478	116	13	sin	sin	NOUN
iajs-3478	116	14	β	β	NOUN
iajs-3478	116	15	)	)	PUNCT
iajs-3478	117	1	−	−	PROPN
iajs-3478	117	2	1	1	NUM
iajs-3478	117	3	da	da	PROPN
iajs-3478	117	4	∂ψ	∂ψ	PROPN
iajs-3478	118	1	∂y	∂y	NOUN
iajs-3478	118	2	−	−	NOUN
iajs-3478	118	3	1	1	NUM
iajs-3478	118	4	∝2	∝2	PROPN
iajs-3478	118	5	(	(	PUNCT
iajs-3478	118	6	δ4	δ4	NOUN
iajs-3478	118	7	∂4	∂4	NOUN
iajs-3478	118	8	∂x4	∂x4	VERB
iajs-3478	118	9	+	+	CCONJ
iajs-3478	118	10	2δ2	2δ2	NUM
iajs-3478	118	11	∂4	∂4	NUM
iajs-3478	118	12	∂x2	∂x2	NOUN
iajs-3478	118	13	∂y2	∂y2	ADJ
iajs-3478	118	14	+	+	CCONJ
iajs-3478	118	15	∂4	∂4	NUM
iajs-3478	118	16	∂y4	∂y4	NOUN
iajs-3478	118	17	)	)	PUNCT
iajs-3478	118	18	∂ψ	∂ψ	PROPN
iajs-3478	118	19	∂y	∂y	PRON
iajs-3478	119	1	+	+	CCONJ
iajs-3478	119	2	re	re	ADJ
iajs-3478	119	3	fr	fr	PROPN
iajs-3478	119	4	sin	sin	NOUN
iajs-3478	119	5	α∗	α∗	NOUN
iajs-3478	119	6	(	(	PUNCT
iajs-3478	119	7	29	29	NUM
iajs-3478	119	8	)	)	PUNCT
iajs-3478	119	9	re	re	VERB
iajs-3478	119	10	δ3	δ3	PROPN
iajs-3478	119	11	(	(	PUNCT
iajs-3478	119	12	−	−	PROPN
iajs-3478	119	13	∂2ψ	∂2ψ	NOUN
iajs-3478	119	14	∂t	∂t	PROPN
iajs-3478	119	15	∂x	∂x	PROPN
iajs-3478	119	16	−	−	PROPN
iajs-3478	119	17	∂3ψ	∂3ψ	PROPN
iajs-3478	119	18	∂x2	∂x2	NOUN
iajs-3478	119	19	∂y	∂y	SYM
iajs-3478	119	20	−	−	NOUN
iajs-3478	119	21	∂3ψ	∂3ψ	VERB
iajs-3478	119	22	∂x2	∂x2	NOUN
iajs-3478	119	23	∂y	∂y	NOUN
iajs-3478	119	24	)	)	PUNCT
iajs-3478	119	25	−	−	PROPN
iajs-3478	120	1	ρd2ωδ	ρd2ωδ	NUM
iajs-3478	120	2	μ	μ	NOUN
iajs-3478	120	3	(	(	PUNCT
iajs-3478	120	4	−ωδ	−ωδ	NOUN
iajs-3478	120	5	∂ψ	∂ψ	VERB
iajs-3478	121	1	∂x	∂x	NOUN
iajs-3478	121	2	−	−	NUM
iajs-3478	121	3	2	2	NUM
iajs-3478	121	4	δc	δc	NOUN
iajs-3478	121	5	d	d	PROPN
iajs-3478	121	6	∂2ψ	∂2ψ	PROPN
iajs-3478	121	7	∂t	∂t	PROPN
iajs-3478	121	8	∂x	∂x	PROPN
iajs-3478	121	9	)	)	PUNCT
iajs-3478	122	1	=	=	PUNCT
iajs-3478	123	1	−	−	PROPN
iajs-3478	124	1	∂p	∂p	PROPN
iajs-3478	124	2	∂y	∂y	PROPN
iajs-3478	124	3	+	+	CCONJ
iajs-3478	124	4	δ2	δ2	VERB
iajs-3478	124	5	∂	∂	NOUN
iajs-3478	124	6	∂x	∂x	PROPN
iajs-3478	124	7	sxy	sxy	PROPN
iajs-3478	124	8	+	+	PROPN
iajs-3478	124	9	δ	δ	PROPN
iajs-3478	124	10	∂	∂	ADV
iajs-3478	124	11	∂y	∂y	PRON
iajs-3478	124	12	syy	syy	VERB
iajs-3478	124	13	+	+	CCONJ
iajs-3478	124	14	ha2	ha2	PROPN
iajs-3478	124	15	sin	sin	NOUN
iajs-3478	124	16	β	β	X
iajs-3478	124	17	(	(	PUNCT
iajs-3478	124	18	δ	δ	PROPN
iajs-3478	124	19	∂ψ	∂ψ	PROPN
iajs-3478	124	20	∂y	∂y	SYM
iajs-3478	124	21	cos	cos	ADP
iajs-3478	124	22	β	β	PROPN
iajs-3478	124	23	+	+	CCONJ
iajs-3478	124	24	δ2	δ2	VERB
iajs-3478	124	25	∂ψ	∂ψ	PROPN
iajs-3478	124	26	∂x	∂x	PROPN
iajs-3478	124	27	sin	sin	NOUN
iajs-3478	124	28	β	β	NOUN
iajs-3478	124	29	)	)	PUNCT
iajs-3478	125	1	+	+	CCONJ
iajs-3478	125	2	δ2	δ2	VERB
iajs-3478	125	3	1	1	NUM
iajs-3478	125	4	da	da	PROPN
iajs-3478	125	5	∂ψ	∂ψ	PROPN
iajs-3478	125	6	∂x	∂x	PROPN
iajs-3478	125	7	+	+	CCONJ
iajs-3478	125	8	δ2	δ2	VERB
iajs-3478	125	9	∝2	∝2	PROPN
iajs-3478	125	10	(	(	PUNCT
iajs-3478	125	11	δ4	δ4	NOUN
iajs-3478	125	12	∂4	∂4	NOUN
iajs-3478	125	13	∂x4	∂x4	VERB
iajs-3478	125	14	+	+	CCONJ
iajs-3478	125	15	2δ2	2δ2	NUM
iajs-3478	125	16	∂4	∂4	NUM
iajs-3478	125	17	∂x2	∂x2	NOUN
iajs-3478	125	18	∂y2	∂y2	ADJ
iajs-3478	125	19	+	+	CCONJ
iajs-3478	125	20	∂4	∂4	NUM
iajs-3478	125	21	∂y4	∂y4	NOUN
iajs-3478	125	22	)	)	PUNCT
iajs-3478	125	23	∂ψ	∂ψ	VERB
iajs-3478	126	1	∂x	∂x	NOUN
iajs-3478	126	2	+	+	CCONJ
iajs-3478	126	3	δ	δ	PROPN
iajs-3478	126	4	re	re	ADJ
iajs-3478	126	5	fr	fr	PROPN
iajs-3478	126	6	cos	cos	PROPN
iajs-3478	126	7	α∗	α∗	NOUN
iajs-3478	126	8	9	9	NUM
iajs-3478	126	9	(	(	PUNCT
iajs-3478	126	10	30	30	NUM
iajs-3478	126	11	)	)	PUNCT
iajs-3478	126	12	ihjpas	ihjpa	NOUN
iajs-3478	126	13	.	.	PUNCT
iajs-3478	127	1	2025	2025	NUM
iajs-3478	127	2	,	,	PUNCT
iajs-3478	127	3	38(2	38(2	NUM
iajs-3478	127	4	)	)	PUNCT
iajs-3478	127	5	309	309	NUM
iajs-3478	127	6	reδ	reδ	NOUN
iajs-3478	127	7	(	(	PUNCT
iajs-3478	127	8	∂θ	∂θ	PROPN
iajs-3478	127	9	∂t	∂t	PROPN
iajs-3478	127	10	+	+	CCONJ
iajs-3478	127	11	∂ψ	∂ψ	PROPN
iajs-3478	127	12	∂y	∂y	PROPN
iajs-3478	127	13	∂θ	∂θ	PROPN
iajs-3478	127	14	∂x	∂x	PROPN
iajs-3478	127	15	−	−	PROPN
iajs-3478	127	16	∂ψ	∂ψ	PROPN
iajs-3478	128	1	∂x	∂x	PROPN
iajs-3478	128	2	∂θ	∂θ	PROPN
iajs-3478	128	3	∂y	∂y	X
iajs-3478	128	4	)	)	PUNCT
iajs-3478	128	5	=	=	SYM
iajs-3478	128	6	1	1	NUM
iajs-3478	128	7	pr	pr	NOUN
iajs-3478	128	8	(	(	PUNCT
iajs-3478	128	9	c2δ2	c2δ2	PROPN
iajs-3478	128	10	∂2θ	∂2θ	NOUN
iajs-3478	128	11	∂t2	∂t2	NOUN
iajs-3478	128	12	+	+	CCONJ
iajs-3478	128	13	δ2	δ2	VERB
iajs-3478	128	14	∂2θ	∂2θ	PROPN
iajs-3478	128	15	∂x2	∂x2	PROPN
iajs-3478	128	16	+	+	CCONJ
iajs-3478	128	17	∂2θ	∂2θ	NOUN
iajs-3478	128	18	∂y2	∂y2	NOUN
iajs-3478	128	19	)	)	PUNCT
iajs-3478	129	1	+	+	CCONJ
iajs-3478	129	2	ec	ec	PRON
iajs-3478	130	1	[	[	X
iajs-3478	130	2	(	(	PUNCT
iajs-3478	130	3	∂2ψ	∂2ψ	PROPN
iajs-3478	130	4	∂y2	∂y2	ADJ
iajs-3478	130	5	+	+	CCONJ
iajs-3478	130	6	δ2	δ2	VERB
iajs-3478	130	7	∂2ψ	∂2ψ	NOUN
iajs-3478	130	8	∂x2	∂x2	NOUN
iajs-3478	130	9	)	)	PUNCT
iajs-3478	130	10	2	2	NUM
iajs-3478	131	1	+	+	NUM
iajs-3478	131	2	2δ2	2δ2	NUM
iajs-3478	131	3	(	(	PUNCT
iajs-3478	131	4	∂2ψ	∂2ψ	NOUN
iajs-3478	131	5	∂x	∂x	PROPN
iajs-3478	131	6	∂y	∂y	PROPN
iajs-3478	131	7	)	)	PUNCT
iajs-3478	131	8	2	2	NUM
iajs-3478	131	9	+	+	CCONJ
iajs-3478	131	10	2δ2	2δ2	NUM
iajs-3478	131	11	(	(	PUNCT
iajs-3478	131	12	∂2ψ	∂2ψ	NOUN
iajs-3478	131	13	∂x	∂x	PROPN
iajs-3478	131	14	∂y	∂y	PROPN
iajs-3478	131	15	)	)	PUNCT
iajs-3478	131	16	2	2	NUM
iajs-3478	131	17	]	]	PUNCT
iajs-3478	131	18	(	(	PUNCT
iajs-3478	131	19	31	31	NUM
iajs-3478	131	20	)	)	PUNCT
iajs-3478	131	21	sxx	sxx	NOUN
iajs-3478	131	22	=	=	SYM
iajs-3478	131	23	2(1	2(1	NUM
iajs-3478	131	24	+	+	CCONJ
iajs-3478	131	25	w	w	NOUN
iajs-3478	131	26	)	)	PUNCT
iajs-3478	131	27	∂2ψ	∂2ψ	NOUN
iajs-3478	131	28	∂x	∂x	PROPN
iajs-3478	131	29	∂y	∂y	PROPN
iajs-3478	132	1	−	−	PROPN
iajs-3478	132	2	2a	2a	NUM
iajs-3478	132	3	[	[	X
iajs-3478	132	4	2δ2	2δ2	NUM
iajs-3478	132	5	(	(	PUNCT
iajs-3478	132	6	∂2ψ	∂2ψ	NOUN
iajs-3478	132	7	∂x	∂x	PROPN
iajs-3478	132	8	∂y	∂y	PROPN
iajs-3478	132	9	)	)	PUNCT
iajs-3478	132	10	2	2	NUM
iajs-3478	133	1	+	+	CCONJ
iajs-3478	133	2	(	(	PUNCT
iajs-3478	133	3	∂2ψ	∂2ψ	PROPN
iajs-3478	133	4	∂y2	∂y2	NOUN
iajs-3478	133	5	−	−	PROPN
iajs-3478	133	6	δ2	δ2	VERB
iajs-3478	133	7	∂2ψ	∂2ψ	PROPN
iajs-3478	133	8	∂x2	∂x2	NOUN
iajs-3478	133	9	)	)	PUNCT
iajs-3478	133	10	2	2	NUM
iajs-3478	134	1	+	+	NUM
iajs-3478	134	2	2δ2	2δ2	NUM
iajs-3478	134	3	(	(	PUNCT
iajs-3478	134	4	∂2ψ	∂2ψ	NOUN
iajs-3478	134	5	∂x	∂x	PROPN
iajs-3478	134	6	∂y	∂y	PROPN
iajs-3478	134	7	)	)	PUNCT
iajs-3478	134	8	2	2	NUM
iajs-3478	134	9	]	]	PUNCT
iajs-3478	134	10	(	(	PUNCT
iajs-3478	134	11	32	32	NUM
iajs-3478	134	12	)	)	PUNCT
iajs-3478	134	13	sxy	sxy	NOUN
iajs-3478	134	14	=	=	PUNCT
iajs-3478	134	15	(	(	PUNCT
iajs-3478	134	16	1	1	NUM
iajs-3478	134	17	+	+	NUM
iajs-3478	134	18	w	w	NOUN
iajs-3478	134	19	)	)	PUNCT
iajs-3478	134	20	(	(	PUNCT
iajs-3478	134	21	−δ2	−δ2	PROPN
iajs-3478	134	22	∂2ψ	∂2ψ	PROPN
iajs-3478	134	23	∂x2	∂x2	PROPN
iajs-3478	134	24	+	+	CCONJ
iajs-3478	134	25	∂2ψ	∂2ψ	PROPN
iajs-3478	134	26	∂y2	∂y2	NOUN
iajs-3478	134	27	)	)	PUNCT
iajs-3478	135	1	−	−	ADP
iajs-3478	135	2	a	a	DET
iajs-3478	135	3	[	[	X
iajs-3478	135	4	2δ2	2δ2	NUM
iajs-3478	135	5	(	(	PUNCT
iajs-3478	135	6	∂2ψ	∂2ψ	NOUN
iajs-3478	135	7	∂x	∂x	PROPN
iajs-3478	135	8	∂y	∂y	PROPN
iajs-3478	135	9	)	)	PUNCT
iajs-3478	135	10	2	2	NUM
iajs-3478	135	11	+	+	CCONJ
iajs-3478	135	12	(	(	PUNCT
iajs-3478	135	13	−δ2	−δ2	ADJ
iajs-3478	135	14	∂2ψ	∂2ψ	PROPN
iajs-3478	135	15	∂x2	∂x2	PROPN
iajs-3478	135	16	+	+	CCONJ
iajs-3478	135	17	δ2	δ2	VERB
iajs-3478	135	18	∂ψ	∂ψ	PROPN
iajs-3478	135	19	∂y2	∂y2	NOUN
iajs-3478	135	20	)	)	PUNCT
iajs-3478	135	21	2	2	NUM
iajs-3478	136	1	+	+	CCONJ
iajs-3478	136	2	2δ2	2δ2	NUM
iajs-3478	136	3	(	(	PUNCT
iajs-3478	136	4	∂2ψ	∂2ψ	NOUN
iajs-3478	136	5	∂x	∂x	PROPN
iajs-3478	136	6	∂y	∂y	PROPN
iajs-3478	136	7	)	)	PUNCT
iajs-3478	136	8	2	2	NUM
iajs-3478	136	9	]	]	PUNCT
iajs-3478	136	10	(	(	PUNCT
iajs-3478	136	11	−δ2	−δ2	PROPN
iajs-3478	136	12	∂2ψ	∂2ψ	PROPN
iajs-3478	136	13	∂x2	∂x2	PROPN
iajs-3478	136	14	+	+	CCONJ
iajs-3478	136	15	∂2ψ	∂2ψ	PROPN
iajs-3478	136	16	∂y2	∂y2	NOUN
iajs-3478	136	17	)	)	PUNCT
iajs-3478	136	18	(	(	PUNCT
iajs-3478	136	19	33	33	NUM
iajs-3478	136	20	)	)	PUNCT
iajs-3478	136	21	syy	syy	VERB
iajs-3478	136	22	=	=	NOUN
iajs-3478	136	23	−2(1	−2(1	NOUN
iajs-3478	136	24	+	+	CCONJ
iajs-3478	136	25	w)δ	w)δ	ADJ
iajs-3478	136	26	∂2ψ	∂2ψ	NOUN
iajs-3478	136	27	∂x	∂x	PROPN
iajs-3478	136	28	∂y	∂y	PROPN
iajs-3478	137	1	−	−	PROPN
iajs-3478	137	2	2aδ	2aδ	NOUN
iajs-3478	138	1	[	[	X
iajs-3478	138	2	2δ2	2δ2	NUM
iajs-3478	138	3	(	(	PUNCT
iajs-3478	138	4	∂2ψ	∂2ψ	NOUN
iajs-3478	138	5	∂x	∂x	PROPN
iajs-3478	138	6	∂y	∂y	PROPN
iajs-3478	138	7	)	)	PUNCT
iajs-3478	138	8	2	2	NUM
iajs-3478	139	1	+	+	CCONJ
iajs-3478	139	2	(	(	PUNCT
iajs-3478	139	3	∂2ψ	∂2ψ	PROPN
iajs-3478	139	4	∂y2	∂y2	NOUN
iajs-3478	139	5	−	−	PROPN
iajs-3478	139	6	δ2	δ2	VERB
iajs-3478	139	7	∂2ψ	∂2ψ	PROPN
iajs-3478	139	8	∂x2	∂x2	NOUN
iajs-3478	139	9	)	)	PUNCT
iajs-3478	139	10	2	2	NUM
iajs-3478	140	1	+	+	NUM
iajs-3478	140	2	2δ2	2δ2	NUM
iajs-3478	140	3	(	(	PUNCT
iajs-3478	140	4	∂2ψ	∂2ψ	NOUN
iajs-3478	140	5	∂x	∂x	PROPN
iajs-3478	140	6	∂y	∂y	PROPN
iajs-3478	140	7	)	)	PUNCT
iajs-3478	140	8	2	2	NUM
iajs-3478	140	9	]	]	PUNCT
iajs-3478	140	10	(	(	PUNCT
iajs-3478	140	11	−	−	PROPN
iajs-3478	140	12	∂2ψ	∂2ψ	NOUN
iajs-3478	140	13	∂x	∂x	PROPN
iajs-3478	140	14	∂y	∂y	PROPN
iajs-3478	140	15	)	)	PUNCT
iajs-3478	140	16	(	(	PUNCT
iajs-3478	140	17	34	34	NUM
iajs-3478	140	18	)	)	PUNCT
iajs-3478	140	19	now	now	ADV
iajs-3478	140	20	,	,	PUNCT
iajs-3478	140	21	the	the	DET
iajs-3478	140	22	equations	equation	NOUN
iajs-3478	140	23	(	(	PUNCT
iajs-3478	140	24	2934	2934	NUM
iajs-3478	140	25	)	)	PUNCT
iajs-3478	140	26	become	become	VERB
iajs-3478	140	27	the	the	DET
iajs-3478	140	28	form	form	NOUN
iajs-3478	140	29	when	when	SCONJ
iajs-3478	140	30	(	(	PUNCT
iajs-3478	140	31	𝑅𝑒	𝑅𝑒	VERB
iajs-3478	140	32	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-3478	140	33	𝛿	𝛿	ADJ
iajs-3478	140	34	≪	≪	ADJ
iajs-3478	140	35	1	1	NUM
iajs-3478	140	36	)	)	PUNCT
iajs-3478	140	37	are	be	AUX
iajs-3478	140	38	present	present	ADJ
iajs-3478	140	39	:	:	PUNCT
iajs-3478	140	40	−	−	PROPN
iajs-3478	141	1	ρd2ω2	ρd2ω2	PROPN
iajs-3478	141	2	μ	μ	NUM
iajs-3478	141	3	∂ψ	∂ψ	PROPN
iajs-3478	142	1	∂y	∂y	X
iajs-3478	142	2	=	=	PUNCT
iajs-3478	142	3	−	−	PROPN
iajs-3478	142	4	∂p	∂p	PROPN
iajs-3478	142	5	∂x	∂x	PROPN
iajs-3478	142	6	+	+	CCONJ
iajs-3478	142	7	∂	∂	X
iajs-3478	142	8	∂y	∂y	NUM
iajs-3478	142	9	sxy	sxy	PROPN
iajs-3478	142	10	−	−	PROPN
iajs-3478	143	1	(	(	PUNCT
iajs-3478	143	2	ha2	ha2	PROPN
iajs-3478	143	3	cos2	cos2	PROPN
iajs-3478	143	4	β	β	PROPN
iajs-3478	143	5	+	+	CCONJ
iajs-3478	143	6	1	1	NUM
iajs-3478	143	7	da	da	NOUN
iajs-3478	143	8	)	)	PUNCT
iajs-3478	143	9	∂ψ	∂ψ	PROPN
iajs-3478	144	1	∂y	∂y	PRON
iajs-3478	144	2	−	−	NOUN
iajs-3478	144	3	1	1	NUM
iajs-3478	144	4	∝2	∝2	NOUN
iajs-3478	144	5	∂5ψ	∂5ψ	NOUN
iajs-3478	144	6	∂y5	∂y5	NOUN
iajs-3478	144	7	+	+	CCONJ
iajs-3478	144	8	re	re	VERB
iajs-3478	144	9	fr	fr	PROPN
iajs-3478	144	10	sin	sin	NOUN
iajs-3478	144	11	α∗	α∗	NOUN
iajs-3478	144	12	(	(	PUNCT
iajs-3478	144	13	35	35	NUM
iajs-3478	144	14	)	)	PUNCT
iajs-3478	145	1	−	−	PROPN
iajs-3478	145	2	∂p	∂p	NOUN
iajs-3478	145	3	∂y	∂y	SYM
iajs-3478	145	4	=	=	SYM
iajs-3478	145	5	0	0	PROPN
iajs-3478	146	1	(	(	PUNCT
iajs-3478	146	2	36	36	NUM
iajs-3478	146	3	)	)	PUNCT
iajs-3478	146	4	∂2θ	∂2θ	NOUN
iajs-3478	146	5	∂y2	∂y2	NOUN
iajs-3478	146	6	=	=	SYM
iajs-3478	146	7	−ec	−ec	NOUN
iajs-3478	146	8	.	.	PUNCT
iajs-3478	147	1	pr	pr	NOUN
iajs-3478	147	2	(	(	PUNCT
iajs-3478	147	3	∂2ψ	∂2ψ	PROPN
iajs-3478	147	4	∂y2	∂y2	NOUN
iajs-3478	147	5	)	)	PUNCT
iajs-3478	147	6	2	2	NUM
iajs-3478	147	7	(	(	PUNCT
iajs-3478	147	8	37	37	NUM
iajs-3478	147	9	)	)	PUNCT
iajs-3478	147	10	while	while	SCONJ
iajs-3478	147	11	the	the	DET
iajs-3478	147	12	component	component	NOUN
iajs-3478	147	13	of	of	ADP
iajs-3478	147	14	the	the	DET
iajs-3478	147	15	extra	extra	ADJ
iajs-3478	147	16	stress	stress	NOUN
iajs-3478	147	17	tensor	tensor	NOUN
iajs-3478	147	18	becomes	become	VERB
iajs-3478	147	19	the	the	DET
iajs-3478	147	20	form	form	NOUN
iajs-3478	147	21	of	of	ADP
iajs-3478	147	22	sxx	sxx	NOUN
iajs-3478	147	23	=	=	SYM
iajs-3478	147	24	2(1	2(1	NUM
iajs-3478	147	25	+	+	CCONJ
iajs-3478	147	26	w	w	NOUN
iajs-3478	147	27	)	)	PUNCT
iajs-3478	147	28	∂2ψ	∂2ψ	NOUN
iajs-3478	147	29	∂x	∂x	PROPN
iajs-3478	147	30	∂y	∂y	PROPN
iajs-3478	148	1	−	−	PROPN
iajs-3478	148	2	2a	2a	NUM
iajs-3478	148	3	(	(	PUNCT
iajs-3478	148	4	∂2ψ	∂2ψ	PROPN
iajs-3478	148	5	∂y2	∂y2	NOUN
iajs-3478	148	6	)	)	PUNCT
iajs-3478	148	7	2	2	NUM
iajs-3478	148	8	∂2ψ	∂2ψ	NOUN
iajs-3478	148	9	∂x	∂x	PROPN
iajs-3478	148	10	∂y	∂y	SYM
iajs-3478	148	11	(	(	PUNCT
iajs-3478	148	12	38	38	NUM
iajs-3478	148	13	)	)	PUNCT
iajs-3478	148	14	sxy	sxy	NOUN
iajs-3478	148	15	=	=	PUNCT
iajs-3478	148	16	(	(	PUNCT
iajs-3478	148	17	1	1	NUM
iajs-3478	148	18	+	+	NUM
iajs-3478	148	19	w	w	NOUN
iajs-3478	148	20	)	)	PUNCT
iajs-3478	148	21	(	(	PUNCT
iajs-3478	148	22	∂2ψ	∂2ψ	PROPN
iajs-3478	148	23	∂y2	∂y2	NOUN
iajs-3478	148	24	)	)	PUNCT
iajs-3478	148	25	−	−	PROPN
iajs-3478	149	1	a	a	DET
iajs-3478	149	2	(	(	PUNCT
iajs-3478	149	3	∂2ψ	∂2ψ	PROPN
iajs-3478	149	4	∂y2	∂y2	NOUN
iajs-3478	149	5	)	)	PUNCT
iajs-3478	149	6	3	3	NUM
iajs-3478	149	7	(	(	PUNCT
iajs-3478	149	8	39	39	NUM
iajs-3478	149	9	)	)	PUNCT
iajs-3478	149	10	syy	syy	VERB
iajs-3478	149	11	=	=	SYM
iajs-3478	149	12	0	0	NUM
iajs-3478	149	13	(	(	PUNCT
iajs-3478	149	14	40	40	NUM
iajs-3478	149	15	)	)	PUNCT
iajs-3478	149	16	also	also	ADV
iajs-3478	149	17	,	,	PUNCT
iajs-3478	149	18	if	if	SCONJ
iajs-3478	149	19	equation	equation	NOUN
iajs-3478	149	20	(	(	PUNCT
iajs-3478	149	21	39	39	NUM
iajs-3478	149	22	)	)	PUNCT
iajs-3478	149	23	is	be	AUX
iajs-3478	149	24	entered	enter	VERB
iajs-3478	149	25	into	into	ADP
iajs-3478	149	26	equation	equation	NOUN
iajs-3478	149	27	(	(	PUNCT
iajs-3478	149	28	35	35	NUM
iajs-3478	149	29	)	)	PUNCT
iajs-3478	149	30	as	as	ADV
iajs-3478	149	31	well	well	ADV
iajs-3478	149	32	as	as	ADP
iajs-3478	149	33	the	the	DET
iajs-3478	149	34	derivative	derivative	NOUN
iajs-3478	149	35	with	with	ADP
iajs-3478	149	36	respect	respect	NOUN
iajs-3478	149	37	to	to	ADP
iajs-3478	149	38	y	y	PROPN
iajs-3478	149	39	and	and	CCONJ
iajs-3478	149	40	by	by	ADP
iajs-3478	149	41	(	(	PUNCT
iajs-3478	149	42	w+1	w+1	PROPN
iajs-3478	149	43	)	)	PUNCT
iajs-3478	149	44	is	be	AUX
iajs-3478	149	45	taken	take	VERB
iajs-3478	149	46	,	,	PUNCT
iajs-3478	149	47	then	then	ADV
iajs-3478	149	48	the	the	DET
iajs-3478	149	49	following	follow	VERB
iajs-3478	149	50	equation	equation	NOUN
iajs-3478	149	51	is	be	AUX
iajs-3478	149	52	obtained	obtain	VERB
iajs-3478	149	53	:	:	PUNCT
iajs-3478	150	1	𝜕4𝛹	𝜕4𝛹	NOUN
iajs-3478	150	2	𝜕𝑦4	𝜕𝑦4	NOUN
iajs-3478	150	3	−	−	ADP
iajs-3478	150	4	𝜂𝐴	𝜂𝐴	ADJ
iajs-3478	150	5	𝜕2	𝜕2	NOUN
iajs-3478	151	1	𝜕𝑦2	𝜕𝑦2	NOUN
iajs-3478	151	2	(	(	PUNCT
iajs-3478	151	3	𝜕2𝛹	𝜕2𝛹	NOUN
iajs-3478	151	4	𝜕𝑦2	𝜕𝑦2	ADJ
iajs-3478	151	5	)	)	PUNCT
iajs-3478	151	6	3	3	NUM
iajs-3478	151	7	−	−	PROPN
iajs-3478	151	8	𝜁	𝜁	PROPN
iajs-3478	151	9	𝜕2𝛹	𝜕2𝛹	NOUN
iajs-3478	151	10	𝜕𝑦2	𝜕𝑦2	ADJ
iajs-3478	151	11	−	−	PROPN
iajs-3478	151	12	𝜂	𝜂	NOUN
iajs-3478	151	13	1	1	NUM
iajs-3478	151	14	∝2	∝2	NOUN
iajs-3478	151	15	𝜕6𝛹	𝜕6𝛹	NOUN
iajs-3478	151	16	𝜕𝑦6	𝜕𝑦6	NOUN
iajs-3478	151	17	=	=	SYM
iajs-3478	151	18	0	0	NUM
iajs-3478	151	19	(	(	PUNCT
iajs-3478	151	20	41	41	NUM
iajs-3478	151	21	)	)	PUNCT
iajs-3478	151	22	where	where	SCONJ
iajs-3478	151	23	ζ	ζ	NOUN
iajs-3478	151	24	=	=	SYM
iajs-3478	151	25	ha2	ha2	PROPN
iajs-3478	151	26	cos2	cos2	PROPN
iajs-3478	151	27	β+	β+	PUNCT
iajs-3478	151	28	1	1	NUM
iajs-3478	151	29	da	da	NOUN
iajs-3478	151	30	−	−	PROPN
iajs-3478	151	31	ρd2ω2	ρd2ω2	PROPN
iajs-3478	151	32	μ	μ	PROPN
iajs-3478	151	33	w+1	w+1	PROPN
iajs-3478	151	34	,	,	PUNCT
iajs-3478	151	35	η	η	PROPN
iajs-3478	151	36	=	=	PROPN
iajs-3478	151	37	1	1	NUM
iajs-3478	151	38	w+1	w+1	NUM
iajs-3478	151	39	ψ	ψ	NOUN
iajs-3478	151	40	=	=	SYM
iajs-3478	151	41	f	f	SYM
iajs-3478	151	42	2	2	NUM
iajs-3478	151	43	,	,	PUNCT
iajs-3478	151	44	∂ψ	∂ψ	NOUN
iajs-3478	151	45	∂y	∂y	NUM
iajs-3478	151	46	=	=	SYM
iajs-3478	151	47	−1	−1	NOUN
iajs-3478	151	48	,	,	PUNCT
iajs-3478	151	49	θ	θ	X
iajs-3478	151	50	=	=	PUNCT
iajs-3478	151	51	0	0	PROPN
iajs-3478	152	1	at	at	ADP
iajs-3478	152	2	y	y	PROPN
iajs-3478	152	3	=	=	PUNCT
iajs-3478	152	4	h1	h1	PROPN
iajs-3478	152	5	,	,	PUNCT
iajs-3478	152	6	ψ	ψ	X
iajs-3478	152	7	=	=	SYM
iajs-3478	152	8	−	−	PROPN
iajs-3478	152	9	f	f	NOUN
iajs-3478	152	10	2	2	NUM
iajs-3478	152	11	,	,	PUNCT
iajs-3478	152	12	∂ψ	∂ψ	NOUN
iajs-3478	152	13	∂y	∂y	NUM
iajs-3478	152	14	=	=	SYM
iajs-3478	152	15	−1	−1	NOUN
iajs-3478	152	16	,	,	PUNCT
iajs-3478	152	17	θ	θ	X
iajs-3478	152	18	=	=	PUNCT
iajs-3478	152	19	0	0	PROPN
iajs-3478	152	20	at	at	ADP
iajs-3478	152	21	y	y	PROPN
iajs-3478	152	22	=	=	PROPN
iajs-3478	152	23	h2	h2	PROPN
iajs-3478	152	24	(	(	PUNCT
iajs-3478	152	25	42	42	NUM
iajs-3478	152	26	)	)	PUNCT
iajs-3478	152	27	∂ψ	∂ψ	VERB
iajs-3478	152	28	∂y	∂y	PRON
iajs-3478	152	29	+	+	CCONJ
iajs-3478	152	30	β1	β1	PROPN
iajs-3478	152	31	∂2ψ	∂2ψ	PROPN
iajs-3478	152	32	∂y2	∂y2	NOUN
iajs-3478	152	33	=	=	PUNCT
iajs-3478	152	34	−1	−1	NOUN
iajs-3478	152	35	at	at	ADP
iajs-3478	152	36	y	y	PROPN
iajs-3478	152	37	=	=	PUNCT
iajs-3478	152	38	h1	h1	PROPN
iajs-3478	152	39	,	,	PUNCT
iajs-3478	152	40	∂ψ	∂ψ	PROPN
iajs-3478	152	41	∂y	∂y	PRON
iajs-3478	152	42	+	+	CCONJ
iajs-3478	152	43	β1	β1	PROPN
iajs-3478	152	44	∂2ψ	∂2ψ	PROPN
iajs-3478	152	45	∂y2	∂y2	NOUN
iajs-3478	152	46	=	=	PUNCT
iajs-3478	152	47	−1	−1	NOUN
iajs-3478	152	48	at	at	ADP
iajs-3478	152	49	y	y	PROPN
iajs-3478	152	50	=	=	PROPN
iajs-3478	152	51	h2	h2	PROPN
iajs-3478	152	52	(	(	PUNCT
iajs-3478	152	53	43	43	NUM
iajs-3478	152	54	)	)	PUNCT
iajs-3478	152	55	∂3ψ	∂3ψ	PROPN
iajs-3478	152	56	∂y3	∂y3	NOUN
iajs-3478	152	57	=	=	NOUN
iajs-3478	152	58	0	0	NUM
iajs-3478	152	59	at	at	ADP
iajs-3478	152	60	y	y	PROPN
iajs-3478	152	61	=	=	PUNCT
iajs-3478	152	62	h1	h1	PROPN
iajs-3478	152	63	,	,	PUNCT
iajs-3478	152	64	∂3ψ	∂3ψ	ADJ
iajs-3478	152	65	∂y3	∂y3	NOUN
iajs-3478	152	66	=	=	NOUN
iajs-3478	152	67	0	0	NUM
iajs-3478	153	1	at	at	ADP
iajs-3478	153	2	y	y	PROPN
iajs-3478	153	3	=	=	PROPN
iajs-3478	153	4	h2	h2	PROPN
iajs-3478	153	5	(	(	PUNCT
iajs-3478	153	6	44	44	NUM
iajs-3478	153	7	)	)	PUNCT
iajs-3478	153	8	in	in	ADP
iajs-3478	153	9	the	the	DET
iajs-3478	153	10	wave	wave	NOUN
iajs-3478	153	11	frame	frame	NOUN
iajs-3478	153	12	,	,	PUNCT
iajs-3478	153	13	the	the	DET
iajs-3478	153	14	dimensionless	dimensionless	NOUN
iajs-3478	153	15	volume	volume	NOUN
iajs-3478	153	16	flow	flow	NOUN
iajs-3478	153	17	rate	rate	NOUN
iajs-3478	153	18	and	and	CCONJ
iajs-3478	153	19	boundary	boundary	ADJ
iajs-3478	153	20	condition	condition	NOUN
iajs-3478	153	21	are	be	AUX
iajs-3478	153	22	as	as	SCONJ
iajs-3478	153	23	follows	follow	VERB
iajs-3478	153	24	:	:	PUNCT
iajs-3478	153	25	f	f	PROPN
iajs-3478	153	26	represents	represent	VERB
iajs-3478	153	27	the	the	DET
iajs-3478	153	28	dimensionless	dimensionless	ADJ
iajs-3478	153	29	temporal	temporal	ADJ
iajs-3478	153	30	average	average	ADJ
iajs-3478	153	31	flow	flow	NOUN
iajs-3478	153	32	in	in	ADP
iajs-3478	153	33	the	the	DET
iajs-3478	153	34	wave	wave	NOUN
iajs-3478	153	35	frame	frame	NOUN
iajs-3478	153	36	.	.	PUNCT
iajs-3478	154	1	through	through	ADP
iajs-3478	154	2	the	the	DET
iajs-3478	154	3	expression	expression	NOUN
iajs-3478	154	4	,	,	PUNCT
iajs-3478	154	5	it	it	PRON
iajs-3478	154	6	is	be	AUX
iajs-3478	154	7	related	relate	VERB
iajs-3478	154	8	to	to	ADP
iajs-3478	154	9	the	the	DET
iajs-3478	154	10	dimensionless	dimensionless	ADJ
iajs-3478	154	11	temporal	temporal	ADJ
iajs-3478	154	12	mean	mean	NOUN
iajs-3478	154	13	flow	flow	NOUN
iajs-3478	154	14	rate	rate	NOUN
iajs-3478	154	15	(	(	PUNCT
iajs-3478	154	16	q	q	NOUN
iajs-3478	154	17	)	)	PUNCT
iajs-3478	154	18	in	in	ADP
iajs-3478	154	19	the	the	DET
iajs-3478	154	20	laboratory	laboratory	NOUN
iajs-3478	154	21	frame	frame	NOUN
iajs-3478	154	22	q	q	PROPN
iajs-3478	155	1	=	=	PUNCT
iajs-3478	155	2	f	f	PROPN
iajs-3478	155	3	+	+	CCONJ
iajs-3478	155	4	1	1	NUM
iajs-3478	155	5	+	+	NUM
iajs-3478	155	6	d∗	d∗	NOUN
iajs-3478	155	7	(	(	PUNCT
iajs-3478	155	8	45	45	NUM
iajs-3478	155	9	)	)	PUNCT
iajs-3478	155	10	2.2.effect	2.2.effect	NUM
iajs-3478	155	11	of	of	ADP
iajs-3478	155	12	a	a	DET
iajs-3478	155	13	couple	couple	NOUN
iajs-3478	155	14	–	–	PUNCT
iajs-3478	155	15	stress	stress	NOUN
iajs-3478	155	16	in	in	ADP
iajs-3478	155	17	this	this	DET
iajs-3478	155	18	part	part	NOUN
iajs-3478	155	19	,	,	PUNCT
iajs-3478	155	20	a	a	DET
iajs-3478	155	21	relationship	relationship	NOUN
iajs-3478	155	22	between	between	ADP
iajs-3478	155	23	the	the	DET
iajs-3478	155	24	pair	pair	NOUN
iajs-3478	155	25	stress	stress	NOUN
iajs-3478	155	26	parameter	parameter	NOUN
iajs-3478	155	27	(	(	PUNCT
iajs-3478	155	28	α	α	NOUN
iajs-3478	155	29	)	)	PUNCT
iajs-3478	155	30	and	and	CCONJ
iajs-3478	155	31	the	the	DET
iajs-3478	155	32	material	material	ADJ
iajs-3478	155	33	fluid	fluid	ADJ
iajs-3478	155	34	parameters	parameter	NOUN
iajs-3478	155	35	(	(	PUNCT
iajs-3478	155	36	a	a	X
iajs-3478	155	37	)	)	PUNCT
iajs-3478	155	38	would	would	AUX
iajs-3478	155	39	be	be	AUX
iajs-3478	155	40	found	find	VERB
iajs-3478	155	41	.	.	PUNCT
iajs-3478	156	1	the	the	DET
iajs-3478	156	2	relationship	relationship	NOUN
iajs-3478	156	3	will	will	AUX
iajs-3478	156	4	help	help	VERB
iajs-3478	156	5	us	we	PRON
iajs-3478	156	6	in	in	ADP
iajs-3478	156	7	simplifying	simplify	VERB
iajs-3478	156	8	the	the	DET
iajs-3478	156	9	problem	problem	NOUN
iajs-3478	156	10	’s	’s	PART
iajs-3478	156	11	solution	solution	NOUN
iajs-3478	156	12	.	.	PUNCT
iajs-3478	157	1	because	because	SCONJ
iajs-3478	157	2	of	of	ADP
iajs-3478	157	3	the	the	DET
iajs-3478	157	4	use	use	NOUN
iajs-3478	157	5	of	of	ADP
iajs-3478	157	6	the	the	DET
iajs-3478	157	7	perturbation	perturbation	NOUN
iajs-3478	157	8	method	method	NOUN
iajs-3478	157	9	in	in	ADP
iajs-3478	157	10	solving	solve	VERB
iajs-3478	157	11	the	the	DET
iajs-3478	157	12	stream	stream	NOUN
iajs-3478	157	13	function	function	NOUN
iajs-3478	157	14	,	,	PUNCT
iajs-3478	157	15	and	and	CCONJ
iajs-3478	157	16	to	to	PART
iajs-3478	157	17	see	see	VERB
iajs-3478	157	18	the	the	DET
iajs-3478	157	19	impact	impact	NOUN
iajs-3478	157	20	of	of	ADP
iajs-3478	157	21	every	every	DET
iajs-3478	157	22	parameter	parameter	NOUN
iajs-3478	157	23	contained	contain	VERB
iajs-3478	157	24	in	in	ADP
iajs-3478	157	25	the	the	DET
iajs-3478	157	26	problem	problem	NOUN
iajs-3478	157	27	,	,	PUNCT
iajs-3478	157	28	the	the	DET
iajs-3478	157	29	zero	zero	NUM
iajs-3478	157	30	and	and	CCONJ
iajs-3478	157	31	first	first	ADJ
iajs-3478	157	32	-	-	PUNCT
iajs-3478	157	33	order	order	NOUN
iajs-3478	157	34	solutions	solution	NOUN
iajs-3478	157	35	must	must	AUX
iajs-3478	157	36	be	be	AUX
iajs-3478	157	37	found	find	VERB
iajs-3478	157	38	.	.	PUNCT
iajs-3478	158	1	however	however	ADV
iajs-3478	158	2	,	,	PUNCT
iajs-3478	158	3	ihjpas	ihjpas	PROPN
iajs-3478	158	4	.	.	PUNCT
iajs-3478	159	1	2025	2025	NUM
iajs-3478	159	2	,	,	PUNCT
iajs-3478	159	3	38(2	38(2	NUM
iajs-3478	159	4	)	)	PUNCT
iajs-3478	159	5	310	310	NUM
iajs-3478	159	6	we	we	PRON
iajs-3478	159	7	just	just	ADV
iajs-3478	159	8	need	need	VERB
iajs-3478	159	9	to	to	PART
iajs-3478	159	10	find	find	VERB
iajs-3478	159	11	the	the	DET
iajs-3478	159	12	zero	zero	NUM
iajs-3478	159	13	-	-	PUNCT
iajs-3478	159	14	order	order	NOUN
iajs-3478	159	15	utilizing	utilize	VERB
iajs-3478	159	16	the	the	DET
iajs-3478	159	17	relationship	relationship	NOUN
iajs-3478	159	18	between	between	ADP
iajs-3478	159	19	the	the	DET
iajs-3478	159	20	pair	pair	NOUN
iajs-3478	159	21	stress	stress	NOUN
iajs-3478	159	22	parameter	parameter	NOUN
iajs-3478	159	23	and	and	CCONJ
iajs-3478	159	24	the	the	DET
iajs-3478	159	25	material	material	ADJ
iajs-3478	159	26	fluid	fluid	ADJ
iajs-3478	159	27	properties	property	NOUN
iajs-3478	159	28	.	.	PUNCT
iajs-3478	160	1	fluid	fluid	ADJ
iajs-3478	160	2	parameters	parameter	NOUN
iajs-3478	160	3	from	from	ADP
iajs-3478	160	4	a	a	DET
iajs-3478	160	5	substance	substance	NOUN
iajs-3478	160	6	with	with	ADP
iajs-3478	160	7	no	no	DET
iajs-3478	160	8	dimensions	dimension	NOUN
iajs-3478	160	9	:	:	PUNCT
iajs-3478	160	10	let	let	VERB
iajs-3478	160	11	a	a	DET
iajs-3478	160	12	=	=	SYM
iajs-3478	160	13	w	w	NOUN
iajs-3478	160	14	6	6	NUM
iajs-3478	160	15	(	(	PUNCT
iajs-3478	160	16	c	c	NOUN
iajs-3478	160	17	c1d	c1d	PROPN
iajs-3478	160	18	)	)	PUNCT
iajs-3478	161	1	2	2	NUM
iajs-3478	161	2	then	then	ADV
iajs-3478	161	3	𝑑	𝑑	PROPN
iajs-3478	161	4	=	=	NOUN
iajs-3478	161	5	√	√	PROPN
iajs-3478	161	6	𝑤	𝑤	ADP
iajs-3478	161	7	6𝐴	6𝐴	NOUN
iajs-3478	161	8	(	(	PUNCT
iajs-3478	161	9	𝑐	𝑐	NOUN
iajs-3478	161	10	𝑐1	𝑐1	NOUN
iajs-3478	161	11	)	)	PUNCT
iajs-3478	161	12	(	(	PUNCT
iajs-3478	161	13	46	46	NUM
iajs-3478	161	14	)	)	PUNCT
iajs-3478	161	15	since	since	SCONJ
iajs-3478	161	16	𝛼	𝛼	NOUN
iajs-3478	161	17	=	=	SYM
iajs-3478	161	18	𝑑√	𝑑√	PROPN
iajs-3478	161	19	𝜇	𝜇	ADP
iajs-3478	161	20	𝜇1	𝜇1	PROPN
iajs-3478	161	21	(	(	PUNCT
iajs-3478	161	22	47	47	NUM
iajs-3478	161	23	)	)	PUNCT
iajs-3478	161	24	substitute	substitute	NOUN
iajs-3478	161	25	equation	equation	NOUN
iajs-3478	161	26	(	(	PUNCT
iajs-3478	161	27	46	46	NUM
iajs-3478	161	28	)	)	PUNCT
iajs-3478	161	29	into	into	ADP
iajs-3478	161	30	equation	equation	NOUN
iajs-3478	161	31	(	(	PUNCT
iajs-3478	161	32	47	47	NUM
iajs-3478	161	33	)	)	PUNCT
iajs-3478	161	34	,	,	PUNCT
iajs-3478	161	35	we	we	PRON
iajs-3478	161	36	get	get	VERB
iajs-3478	161	37	α	α	NOUN
iajs-3478	161	38	=	=	NOUN
iajs-3478	161	39	√	√	NUM
iajs-3478	161	40	wμ	wμ	VERB
iajs-3478	161	41	6aμ1	6aμ1	NUM
iajs-3478	161	42	(	(	PUNCT
iajs-3478	161	43	c	c	PROPN
iajs-3478	161	44	c1	c1	PROPN
iajs-3478	161	45	)	)	PUNCT
iajs-3478	161	46	(	(	PUNCT
iajs-3478	161	47	48	48	NUM
iajs-3478	161	48	)	)	PUNCT
iajs-3478	161	49	𝛼2	𝛼2	PROPN
iajs-3478	161	50	=	=	SYM
iajs-3478	161	51	𝑤𝜇	𝑤𝜇	PROPN
iajs-3478	161	52	6𝐴𝜇1	6𝐴𝜇1	NOUN
iajs-3478	161	53	(	(	PUNCT
iajs-3478	161	54	𝑐	𝑐	PROPN
iajs-3478	161	55	𝑐1	𝑐1	NOUN
iajs-3478	161	56	)	)	PUNCT
iajs-3478	161	57	2	2	NUM
iajs-3478	161	58	and	and	CCONJ
iajs-3478	161	59	1	1	NUM
iajs-3478	161	60	𝛼2	𝛼2	PROPN
iajs-3478	161	61	=	=	SYM
iajs-3478	161	62	6𝐴𝜇1	6𝐴𝜇1	NOUN
iajs-3478	161	63	𝑤𝜇	𝑤𝜇	NOUN
iajs-3478	162	1	(	(	PUNCT
iajs-3478	162	2	𝑐1	𝑐1	NOUN
iajs-3478	162	3	𝑐	𝑐	NOUN
iajs-3478	162	4	)	)	PUNCT
iajs-3478	162	5	2	2	NUM
iajs-3478	162	6	(	(	PUNCT
iajs-3478	162	7	49	49	NUM
iajs-3478	162	8	)	)	PUNCT
iajs-3478	162	9	2.3.solution	2.3.solution	NUM
iajs-3478	162	10	of	of	ADP
iajs-3478	162	11	the	the	DET
iajs-3478	162	12	problem	problem	NOUN
iajs-3478	162	13	by	by	ADP
iajs-3478	162	14	using	use	VERB
iajs-3478	162	15	equation	equation	NOUN
iajs-3478	162	16	(	(	PUNCT
iajs-3478	162	17	45	45	NUM
iajs-3478	162	18	)	)	PUNCT
iajs-3478	162	19	with	with	ADP
iajs-3478	162	20	equations	equation	NOUN
iajs-3478	162	21	(	(	PUNCT
iajs-3478	162	22	35	35	NUM
iajs-3478	162	23	–	–	SYM
iajs-3478	162	24	40	40	NUM
iajs-3478	162	25	)	)	PUNCT
iajs-3478	162	26	and	and	CCONJ
iajs-3478	162	27	boundary	boundary	ADJ
iajs-3478	162	28	conditions	condition	NOUN
iajs-3478	162	29	(	(	PUNCT
iajs-3478	162	30	42	42	NUM
iajs-3478	162	31	–	–	SYM
iajs-3478	162	32	44	44	NUM
iajs-3478	162	33	)	)	PUNCT
iajs-3478	162	34	and	and	CCONJ
iajs-3478	162	35	since	since	SCONJ
iajs-3478	162	36	𝛿	𝛿	DET
iajs-3478	162	37	≤	≤	NUM
iajs-3478	162	38	1	1	NUM
iajs-3478	162	39	,	,	PUNCT
iajs-3478	162	40	and	and	CCONJ
iajs-3478	162	41	using	use	VERB
iajs-3478	162	42	the	the	DET
iajs-3478	162	43	approximation	approximation	NOUN
iajs-3478	162	44	of	of	ADP
iajs-3478	162	45	a	a	DET
iajs-3478	162	46	long	long	ADJ
iajs-3478	162	47	wavelength	wavelength	NOUN
iajs-3478	162	48	and	and	CCONJ
iajs-3478	162	49	a	a	DET
iajs-3478	162	50	low	low	ADJ
iajs-3478	162	51	reynolds	reynold	NOUN
iajs-3478	162	52	number	number	NOUN
iajs-3478	162	53	.	.	PUNCT
iajs-3478	163	1	for	for	ADP
iajs-3478	163	2	the	the	DET
iajs-3478	163	3	appearance	appearance	NOUN
iajs-3478	163	4	of	of	ADP
iajs-3478	163	5	the	the	DET
iajs-3478	163	6	couple	couple	NOUN
iajs-3478	163	7	stress	stress	NOUN
iajs-3478	163	8	parameter	parameter	NOUN
iajs-3478	163	9	in	in	ADP
iajs-3478	163	10	the	the	DET
iajs-3478	163	11	equation	equation	NOUN
iajs-3478	163	12	,	,	PUNCT
iajs-3478	163	13	the	the	DET
iajs-3478	163	14	solution	solution	NOUN
iajs-3478	163	15	is	be	AUX
iajs-3478	163	16	limited	limit	VERB
iajs-3478	163	17	to	to	ADP
iajs-3478	163	18	the	the	DET
iajs-3478	163	19	zero	zero	NUM
iajs-3478	163	20	order	order	NOUN
iajs-3478	163	21	by	by	ADP
iajs-3478	163	22	giving	give	VERB
iajs-3478	163	23	all	all	DET
iajs-3478	163	24	the	the	DET
iajs-3478	163	25	parameters	parameter	NOUN
iajs-3478	163	26	required	require	VERB
iajs-3478	163	27	to	to	PART
iajs-3478	163	28	solve	solve	VERB
iajs-3478	163	29	the	the	DET
iajs-3478	163	30	problem	problem	NOUN
iajs-3478	163	31	and	and	CCONJ
iajs-3478	163	32	find	find	VERB
iajs-3478	163	33	the	the	DET
iajs-3478	163	34	results	result	NOUN
iajs-3478	163	35	,	,	PUNCT
iajs-3478	163	36	we	we	PRON
iajs-3478	163	37	get	get	VERB
iajs-3478	163	38	the	the	DET
iajs-3478	163	39	motion	motion	NOUN
iajs-3478	163	40	equation	equation	NOUN
iajs-3478	163	41	in	in	ADP
iajs-3478	163	42	terms	term	NOUN
iajs-3478	163	43	of	of	ADP
iajs-3478	163	44	stream	stream	NOUN
iajs-3478	163	45	function	function	NOUN
iajs-3478	163	46	which	which	PRON
iajs-3478	163	47	is	be	AUX
iajs-3478	163	48	𝚿𝐲𝐲𝐲𝐲	𝚿𝐲𝐲𝐲𝐲	PROPN
iajs-3478	163	49	−	−	PROPN
iajs-3478	163	50	𝛇𝚿𝐲𝐲	𝛇𝚿𝐲𝐲	PROPN
iajs-3478	163	51	−	−	NOUN
iajs-3478	163	52	𝛈	𝛈	PROPN
iajs-3478	163	53	𝛂𝟐	𝛂𝟐	PROPN
iajs-3478	163	54	𝚿𝐲𝐲𝐲𝐲𝐲𝐲	𝚿𝐲𝐲𝐲𝐲𝐲𝐲	PROPN
iajs-3478	163	55	=	=	SYM
iajs-3478	163	56	𝟎	𝟎	X
iajs-3478	163	57	(	(	PUNCT
iajs-3478	163	58	50	50	NUM
iajs-3478	163	59	)	)	PUNCT
iajs-3478	163	60	the	the	DET
iajs-3478	163	61	straight	straight	ADJ
iajs-3478	163	62	forward	forward	ADJ
iajs-3478	163	63	formula	formula	NOUN
iajs-3478	163	64	for	for	ADP
iajs-3478	163	65	the	the	DET
iajs-3478	163	66	momentum	momentum	NOUN
iajs-3478	163	67	equation	equation	NOUN
iajs-3478	163	68	's	's	PART
iajs-3478	163	69	solution	solution	NOUN
iajs-3478	163	70	is	be	AUX
iajs-3478	163	71	ψ	ψ	NOUN
iajs-3478	163	72	=	=	SYM
iajs-3478	163	73	√2	√2	X
iajs-3478	163	74	(	(	PUNCT
iajs-3478	163	75	√2ep1yc1	√2ep1yc1	NOUN
iajs-3478	163	76	p3	p3	PROPN
iajs-3478	163	77	+	+	CCONJ
iajs-3478	163	78	√2e−p1yc2	√2e−p1yc2	NOUN
iajs-3478	163	79	p3	p3	PROPN
iajs-3478	163	80	+	+	CCONJ
iajs-3478	163	81	√2ep2yc3	√2ep2yc3	X
iajs-3478	163	82	p4	p4	NOUN
iajs-3478	164	1	+	+	CCONJ
iajs-3478	164	2	√2e−p2yc4	√2e−p2yc4	NOUN
iajs-3478	164	3	p4	p4	ADJ
iajs-3478	164	4	)	)	PUNCT
iajs-3478	165	1	+	+	CCONJ
iajs-3478	165	2	c5	c5	PROPN
iajs-3478	165	3	+	+	CCONJ
iajs-3478	165	4	yc6	yc6	PROPN
iajs-3478	165	5	b	b	PROPN
iajs-3478	165	6	(	(	PUNCT
iajs-3478	165	7	51	51	NUM
iajs-3478	165	8	)	)	PUNCT
iajs-3478	165	9	where	where	SCONJ
iajs-3478	165	10	p1	p1	PROPN
iajs-3478	165	11	=	=	SYM
iajs-3478	165	12	√α2−√α2(α2−4ζη	√α2−√α2(α2−4ζη	PROPN
iajs-3478	165	13	)	)	PUNCT
iajs-3478	165	14	η	η	PROPN
iajs-3478	165	15	√2	√2	NOUN
iajs-3478	165	16	p2	p2	PROPN
iajs-3478	165	17	=	=	SYM
iajs-3478	165	18	√α2+√α2(α2−4ζη	√α2+√α2(α2−4ζη	NOUN
iajs-3478	165	19	)	)	PUNCT
iajs-3478	165	20	η	η	PROPN
iajs-3478	165	21	√2	√2	PROPN
iajs-3478	165	22	p3	p3	PROPN
iajs-3478	165	23	=	=	SYM
iajs-3478	165	24	√α2−√α2(α2−4ζη	√α2−√α2(α2−4ζη	PROPN
iajs-3478	165	25	)	)	PUNCT
iajs-3478	165	26	η	η	PROPN
iajs-3478	165	27	√α2−√α4−4α2ζη	√α2−√α4−4α2ζη	PROPN
iajs-3478	165	28	η	η	PROPN
iajs-3478	165	29	p4	p4	PROPN
iajs-3478	165	30	=	=	PUNCT
iajs-3478	165	31	√	√	ADP
iajs-3478	165	32	α2+√α2(α2−4ζη	α2+√α2(α2−4ζη	NOUN
iajs-3478	165	33	)	)	PUNCT
iajs-3478	165	34	η	η	PROPN
iajs-3478	165	35	√	√	PROPN
iajs-3478	165	36	α2+√α4−4α2ζη	α2+√α4−4α2ζη	PROPN
iajs-3478	165	37	η	η	PROPN
iajs-3478	165	38	within	within	ADP
iajs-3478	165	39	the	the	DET
iajs-3478	165	40	fixed	fix	VERB
iajs-3478	165	41	frame	frame	NOUN
iajs-3478	165	42	,	,	PUNCT
iajs-3478	165	43	the	the	DET
iajs-3478	165	44	axial	axial	ADJ
iajs-3478	165	45	velocity	velocity	NOUN
iajs-3478	165	46	component	component	NOUN
iajs-3478	165	47	is	be	AUX
iajs-3478	165	48	expressed	express	VERB
iajs-3478	165	49	as	as	ADP
iajs-3478	165	50	𝑢(𝑥	𝑢(𝑥	PROPN
iajs-3478	165	51	,	,	PUNCT
iajs-3478	165	52	𝑦	𝑦	NOUN
iajs-3478	165	53	,	,	PUNCT
iajs-3478	165	54	𝑡	𝑡	NOUN
iajs-3478	165	55	)	)	PUNCT
iajs-3478	165	56	=	=	SYM
iajs-3478	165	57	ψy	ψy	PROPN
iajs-3478	165	58	(	(	PUNCT
iajs-3478	165	59	52	52	NUM
iajs-3478	165	60	)	)	PUNCT
iajs-3478	165	61	now	now	ADV
iajs-3478	165	62	,	,	PUNCT
iajs-3478	165	63	substitute	substitute	ADJ
iajs-3478	165	64	equation	equation	NOUN
iajs-3478	165	65	(	(	PUNCT
iajs-3478	165	66	39	39	NUM
iajs-3478	165	67	)	)	PUNCT
iajs-3478	165	68	into	into	ADP
iajs-3478	165	69	equation	equation	NOUN
iajs-3478	165	70	(	(	PUNCT
iajs-3478	165	71	35	35	NUM
iajs-3478	165	72	)	)	PUNCT
iajs-3478	165	73	,	,	PUNCT
iajs-3478	165	74	we	we	PRON
iajs-3478	165	75	get	get	VERB
iajs-3478	165	76	𝜕𝑝	𝜕𝑝	NOUN
iajs-3478	165	77	𝜕𝑥	𝜕𝑥	X
iajs-3478	165	78	=	=	SYM
iajs-3478	165	79	(	(	PUNCT
iajs-3478	165	80	𝑤	𝑤	ADP
iajs-3478	165	81	+	+	NUM
iajs-3478	165	82	1)ψ𝑦𝑦𝑦	1)ψ𝑦𝑦𝑦	NUM
iajs-3478	165	83	−	−	PROPN
iajs-3478	165	84	(	(	PUNCT
iajs-3478	165	85	𝑤	𝑤	ADP
iajs-3478	165	86	+	+	NUM
iajs-3478	165	87	1)𝜁ψ𝑦	1)𝜁ψ𝑦	NUM
iajs-3478	165	88	−	−	NOUN
iajs-3478	165	89	1	1	NUM
iajs-3478	165	90	𝛼2	𝛼2	NOUN
iajs-3478	165	91	ψ𝑦𝑦𝑦𝑦𝑦	ψ𝑦𝑦𝑦𝑦𝑦	NOUN
iajs-3478	166	1	+	+	CCONJ
iajs-3478	166	2	𝑅𝑒	𝑅𝑒	VERB
iajs-3478	166	3	𝐹𝑟	𝐹𝑟	PROPN
iajs-3478	166	4	sin	sin	NOUN
iajs-3478	166	5	𝛼∗	𝛼∗	PROPN
iajs-3478	166	6	(	(	PUNCT
iajs-3478	166	7	53	53	NUM
iajs-3478	166	8	)	)	PUNCT
iajs-3478	166	9	3	3	NUM
iajs-3478	166	10	.	.	NOUN
iajs-3478	166	11	results	result	NOUN
iajs-3478	166	12	and	and	CCONJ
iajs-3478	166	13	discussions	discussion	NOUN
iajs-3478	166	14	this	this	DET
iajs-3478	166	15	section	section	NOUN
iajs-3478	166	16	displays	display	VERB
iajs-3478	166	17	the	the	DET
iajs-3478	166	18	stream	stream	NOUN
iajs-3478	166	19	function	function	NOUN
iajs-3478	166	20	by	by	ADP
iajs-3478	166	21	using	use	VERB
iajs-3478	166	22	the	the	DET
iajs-3478	166	23	mathematica	mathematica	PROPN
iajs-3478	166	24	software	software	PROPN
iajs-3478	166	25	.	.	PUNCT
iajs-3478	167	1	a	a	DET
iajs-3478	167	2	fascinating	fascinating	ADJ
iajs-3478	167	3	occurrence	occurrence	NOUN
iajs-3478	167	4	happens	happen	VERB
iajs-3478	167	5	in	in	ADP
iajs-3478	167	6	peristaltic	peristaltic	ADJ
iajs-3478	167	7	flows	flow	NOUN
iajs-3478	167	8	,	,	PUNCT
iajs-3478	167	9	where	where	SCONJ
iajs-3478	167	10	the	the	DET
iajs-3478	167	11	closed	closed	ADJ
iajs-3478	167	12	stream	stream	NOUN
iajs-3478	167	13	function	function	NOUN
iajs-3478	167	14	traps	trap	VERB
iajs-3478	167	15	a	a	DET
iajs-3478	167	16	quantity	quantity	NOUN
iajs-3478	167	17	of	of	ADP
iajs-3478	167	18	fluid	fluid	NOUN
iajs-3478	167	19	sometimes	sometimes	ADV
iajs-3478	167	20	referred	refer	VERB
iajs-3478	167	21	to	to	ADP
iajs-3478	167	22	as	as	ADP
iajs-3478	167	23	bolus	bolus	ADJ
iajs-3478	167	24	inside	inside	ADP
iajs-3478	167	25	the	the	DET
iajs-3478	167	26	channel	channel	NOUN
iajs-3478	167	27	adjacent	adjacent	ADJ
iajs-3478	167	28	to	to	ADP
iajs-3478	167	29	walls	wall	NOUN
iajs-3478	167	30	,	,	PUNCT
iajs-3478	167	31	and	and	CCONJ
iajs-3478	167	32	moves	move	NOUN
iajs-3478	167	33	in	in	ADP
iajs-3478	167	34	ihjpas	ihjpas	PROPN
iajs-3478	167	35	.	.	PUNCT
iajs-3478	168	1	2025	2025	NUM
iajs-3478	168	2	,	,	PUNCT
iajs-3478	168	3	38(2	38(2	NUM
iajs-3478	168	4	)	)	PUNCT
iajs-3478	168	5	311	311	NUM
iajs-3478	168	6	the	the	DET
iajs-3478	168	7	direction	direction	NOUN
iajs-3478	168	8	of	of	ADP
iajs-3478	168	9	wave	wave	NOUN
iajs-3478	168	10	propagation	propagation	NOUN
iajs-3478	168	11	.	.	PUNCT
iajs-3478	169	1	the	the	DET
iajs-3478	169	2	stream	stream	NOUN
iajs-3478	169	3	function	function	NOUN
iajs-3478	169	4	is	be	AUX
iajs-3478	169	5	plotted	plot	VERB
iajs-3478	169	6	for	for	ADP
iajs-3478	169	7	various	various	ADJ
iajs-3478	169	8	values	value	NOUN
iajs-3478	169	9	of	of	ADP
iajs-3478	169	10	the	the	DET
iajs-3478	169	11	hartman	hartman	PROPN
iajs-3478	169	12	number	number	NOUN
iajs-3478	169	13	(	(	PUNCT
iajs-3478	169	14	ha	ha	INTJ
iajs-3478	169	15	)	)	PUNCT
iajs-3478	169	16	,	,	PUNCT
iajs-3478	169	17	the	the	DET
iajs-3478	169	18	darcy	darcy	PROPN
iajs-3478	169	19	number	number	NOUN
iajs-3478	169	20	(	(	PUNCT
iajs-3478	169	21	da	da	NOUN
iajs-3478	169	22	)	)	PUNCT
iajs-3478	169	23	,	,	PUNCT
iajs-3478	169	24	the	the	DET
iajs-3478	169	25	inclination	inclination	NOUN
iajs-3478	169	26	of	of	ADP
iajs-3478	169	27	the	the	DET
iajs-3478	169	28	magnetic	magnetic	ADJ
iajs-3478	169	29	field	field	NOUN
iajs-3478	169	30	(	(	PUNCT
iajs-3478	169	31	β	β	NOUN
iajs-3478	169	32	)	)	PUNCT
iajs-3478	169	33	,	,	PUNCT
iajs-3478	169	34	the	the	DET
iajs-3478	169	35	rotation	rotation	NOUN
iajs-3478	169	36	(	(	PUNCT
iajs-3478	169	37	ω	ω	NOUN
iajs-3478	169	38	)	)	PUNCT
iajs-3478	169	39	,	,	PUNCT
iajs-3478	169	40	the	the	DET
iajs-3478	169	41	values	value	NOUN
iajs-3478	169	42	of	of	ADP
iajs-3478	169	43	the	the	DET
iajs-3478	169	44	porous	porous	ADJ
iajs-3478	169	45	medium	medium	NOUN
iajs-3478	169	46	parameter	parameter	NOUN
iajs-3478	169	47	(	(	PUNCT
iajs-3478	169	48	w	w	NOUN
iajs-3478	169	49	)	)	PUNCT
iajs-3478	169	50	,	,	PUNCT
iajs-3478	169	51	the	the	DET
iajs-3478	169	52	amplitude	amplitude	NOUN
iajs-3478	169	53	ratio	ratio	NOUN
iajs-3478	169	54	(	(	PUNCT
iajs-3478	169	55	ϕ	ϕ	NOUN
iajs-3478	169	56	)	)	PUNCT
iajs-3478	169	57	,	,	PUNCT
iajs-3478	169	58	the	the	DET
iajs-3478	169	59	slip	slip	NOUN
iajs-3478	169	60	condition	condition	NOUN
iajs-3478	169	61	(	(	PUNCT
iajs-3478	169	62	𝛽1	𝛽1	NOUN
iajs-3478	169	63	)	)	PUNCT
iajs-3478	169	64	,	,	PUNCT
iajs-3478	169	65	and	and	CCONJ
iajs-3478	169	66	the	the	DET
iajs-3478	169	67	couple	couple	NOUN
iajs-3478	169	68	stress	stress	NOUN
iajs-3478	169	69	parameter	parameter	NOUN
iajs-3478	169	70	(	(	PUNCT
iajs-3478	169	71	α	α	NOUN
iajs-3478	169	72	)	)	PUNCT
iajs-3478	169	73	in	in	ADP
iajs-3478	169	74	the	the	DET
iajs-3478	169	75	asymmetric	asymmetric	ADJ
iajs-3478	169	76	channels	channel	NOUN
iajs-3478	169	77	illustrated	illustrate	VERB
iajs-3478	169	78	in	in	ADP
iajs-3478	169	79	figures	figure	NOUN
iajs-3478	169	80	(	(	PUNCT
iajs-3478	169	81	2	2	NUM
iajs-3478	169	82	-	-	SYM
iajs-3478	169	83	9	9	NUM
iajs-3478	169	84	)	)	PUNCT
iajs-3478	169	85	.	.	PUNCT
iajs-3478	170	1			X
iajs-3478	170	2	figures	figure	NOUN
iajs-3478	170	3	(	(	PUNCT
iajs-3478	170	4	2	2	NUM
iajs-3478	170	5	,	,	PUNCT
iajs-3478	170	6	4	4	NUM
iajs-3478	170	7	and	and	CCONJ
iajs-3478	170	8	9	9	NUM
iajs-3478	170	9	)	)	PUNCT
iajs-3478	170	10	display	display	VERB
iajs-3478	170	11	the	the	DET
iajs-3478	170	12	increases	increase	NOUN
iajs-3478	170	13	in	in	ADP
iajs-3478	170	14	the	the	DET
iajs-3478	170	15	values	value	NOUN
iajs-3478	170	16	of	of	ADP
iajs-3478	170	17	hartman	hartman	PROPN
iajs-3478	170	18	number	number	PROPN
iajs-3478	170	19	(	(	PUNCT
iajs-3478	170	20	ha	ha	INTJ
iajs-3478	170	21	)	)	PUNCT
iajs-3478	170	22	,	,	PUNCT
iajs-3478	170	23	the	the	DET
iajs-3478	170	24	inclination	inclination	NOUN
iajs-3478	170	25	of	of	ADP
iajs-3478	170	26	magnetic	magnetic	ADJ
iajs-3478	170	27	field	field	NOUN
iajs-3478	170	28	(	(	PUNCT
iajs-3478	170	29	β	β	NOUN
iajs-3478	170	30	)	)	PUNCT
iajs-3478	170	31	,	,	PUNCT
iajs-3478	170	32	and	and	CCONJ
iajs-3478	170	33	the	the	DET
iajs-3478	170	34	couple	couple	NOUN
iajs-3478	170	35	stress	stress	NOUN
iajs-3478	170	36	parameter	parameter	NOUN
iajs-3478	170	37	(	(	PUNCT
iajs-3478	170	38	α	α	NOUN
iajs-3478	170	39	)	)	PUNCT
iajs-3478	170	40	leading	lead	VERB
iajs-3478	170	41	to	to	ADP
iajs-3478	170	42	the	the	DET
iajs-3478	170	43	increase	increase	NOUN
iajs-3478	170	44	in	in	ADP
iajs-3478	170	45	the	the	DET
iajs-3478	170	46	size	size	NOUN
iajs-3478	170	47	of	of	ADP
iajs-3478	170	48	the	the	DET
iajs-3478	170	49	trapped	trap	VERB
iajs-3478	170	50	bolus	bolus	NOUN
iajs-3478	170	51	and	and	CCONJ
iajs-3478	170	52	approaching	approach	VERB
iajs-3478	170	53	to	to	ADP
iajs-3478	170	54	the	the	DET
iajs-3478	170	55	channel	channel	NOUN
iajs-3478	170	56	walls	wall	NOUN
iajs-3478	170	57	.	.	PUNCT
iajs-3478	171	1			PRON
iajs-3478	171	2	figures	figure	NOUN
iajs-3478	171	3	(	(	PUNCT
iajs-3478	171	4	5	5	NUM
iajs-3478	171	5	,	,	PUNCT
iajs-3478	171	6	6	6	NUM
iajs-3478	171	7	)	)	PUNCT
iajs-3478	171	8	illustrate	illustrate	VERB
iajs-3478	171	9	the	the	DET
iajs-3478	171	10	increases	increase	NOUN
iajs-3478	171	11	in	in	ADP
iajs-3478	171	12	the	the	DET
iajs-3478	171	13	values	value	NOUN
iajs-3478	171	14	of	of	ADP
iajs-3478	171	15	the	the	DET
iajs-3478	171	16	rotation	rotation	NOUN
iajs-3478	171	17	(	(	PUNCT
iajs-3478	171	18	ω	ω	NOUN
iajs-3478	171	19	)	)	PUNCT
iajs-3478	171	20	and	and	CCONJ
iajs-3478	171	21	the	the	DET
iajs-3478	171	22	values	value	NOUN
iajs-3478	171	23	of	of	ADP
iajs-3478	171	24	the	the	DET
iajs-3478	171	25	porous	porous	ADJ
iajs-3478	171	26	medium	medium	NOUN
iajs-3478	171	27	parameter	parameter	NOUN
iajs-3478	171	28	(	(	PUNCT
iajs-3478	171	29	w	w	NOUN
iajs-3478	171	30	)	)	PUNCT
iajs-3478	171	31	led	lead	VERB
iajs-3478	171	32	to	to	ADP
iajs-3478	171	33	the	the	DET
iajs-3478	171	34	decrease	decrease	NOUN
iajs-3478	171	35	in	in	ADP
iajs-3478	171	36	the	the	DET
iajs-3478	171	37	size	size	NOUN
iajs-3478	171	38	of	of	ADP
iajs-3478	171	39	the	the	DET
iajs-3478	171	40	trapped	trap	VERB
iajs-3478	171	41	bolus	bolus	NOUN
iajs-3478	171	42	and	and	CCONJ
iajs-3478	171	43	the	the	DET
iajs-3478	171	44	move	move	NOUN
iajs-3478	171	45	away	away	ADV
iajs-3478	171	46	from	from	ADP
iajs-3478	171	47	the	the	DET
iajs-3478	171	48	channel	channel	NOUN
iajs-3478	171	49	walls	wall	NOUN
iajs-3478	171	50	.	.	PUNCT
iajs-3478	172	1			PRON
iajs-3478	172	2	figure	figure	NOUN
iajs-3478	172	3	3	3	NUM
iajs-3478	172	4	demonstrates	demonstrate	VERB
iajs-3478	172	5	how	how	SCONJ
iajs-3478	172	6	the	the	DET
iajs-3478	172	7	confined	confined	ADJ
iajs-3478	172	8	bolus	bolus	NOUN
iajs-3478	172	9	's	's	PART
iajs-3478	172	10	size	size	NOUN
iajs-3478	172	11	has	have	AUX
iajs-3478	172	12	increased	increase	VERB
iajs-3478	172	13	and	and	CCONJ
iajs-3478	172	14	its	its	PRON
iajs-3478	172	15	approach	approach	NOUN
iajs-3478	172	16	from	from	ADP
iajs-3478	172	17	the	the	DET
iajs-3478	172	18	channel	channel	NOUN
iajs-3478	172	19	wall	wall	NOUN
iajs-3478	172	20	is	be	AUX
iajs-3478	172	21	caused	cause	VERB
iajs-3478	172	22	by	by	ADP
iajs-3478	172	23	a	a	DET
iajs-3478	172	24	drop	drop	NOUN
iajs-3478	172	25	in	in	ADP
iajs-3478	172	26	the	the	DET
iajs-3478	172	27	values	value	NOUN
iajs-3478	172	28	of	of	ADP
iajs-3478	172	29	the	the	DET
iajs-3478	172	30	darcy	darcy	NOUN
iajs-3478	172	31	number	number	NOUN
iajs-3478	172	32	(	(	PUNCT
iajs-3478	172	33	da	da	NOUN
iajs-3478	172	34	)	)	PUNCT
iajs-3478	172	35	.	.	PUNCT
iajs-3478	173	1			X
iajs-3478	173	2	figures	figure	NOUN
iajs-3478	173	3	(	(	PUNCT
iajs-3478	173	4	7	7	NUM
iajs-3478	173	5	,	,	PUNCT
iajs-3478	173	6	8)	8)	NUM
iajs-3478	173	7	show	show	VERB
iajs-3478	173	8	how	how	SCONJ
iajs-3478	173	9	decreasing	decrease	VERB
iajs-3478	173	10	values	value	NOUN
iajs-3478	173	11	of	of	ADP
iajs-3478	173	12	the	the	DET
iajs-3478	173	13	amplitude	amplitude	NOUN
iajs-3478	173	14	ratio	ratio	NOUN
iajs-3478	173	15	(	(	PUNCT
iajs-3478	173	16	ϕ	ϕ	NOUN
iajs-3478	173	17	)	)	PUNCT
iajs-3478	173	18	and	and	CCONJ
iajs-3478	173	19	the	the	DET
iajs-3478	173	20	slip	slip	NOUN
iajs-3478	173	21	condition	condition	NOUN
iajs-3478	173	22	(	(	PUNCT
iajs-3478	173	23	𝛽1	𝛽1	NOUN
iajs-3478	173	24	)	)	PUNCT
iajs-3478	173	25	caused	cause	VERB
iajs-3478	173	26	the	the	DET
iajs-3478	173	27	trapped	trap	VERB
iajs-3478	173	28	bolus	bolus	NOUN
iajs-3478	173	29	to	to	PART
iajs-3478	173	30	shrink	shrink	VERB
iajs-3478	173	31	and	and	CCONJ
iajs-3478	173	32	move	move	VERB
iajs-3478	173	33	away	away	ADV
iajs-3478	173	34	from	from	ADP
iajs-3478	173	35	the	the	DET
iajs-3478	173	36	channel	channel	NOUN
iajs-3478	173	37	walls	wall	NOUN
iajs-3478	173	38	.	.	PUNCT
iajs-3478	174	1	figure	figure	NOUN
iajs-3478	174	2	2	2	NUM
iajs-3478	174	3	.	.	NOUN
iajs-3478	174	4	stream	stream	NOUN
iajs-3478	174	5	function	function	NOUN
iajs-3478	174	6	variation	variation	NOUN
iajs-3478	174	7	for	for	ADP
iajs-3478	174	8	different	different	ADJ
iajs-3478	174	9	(	(	PUNCT
iajs-3478	174	10	a	a	NOUN
iajs-3478	174	11	)	)	PUNCT
iajs-3478	174	12	ha=7.5	ha=7.5	NOUN
iajs-3478	174	13	,	,	PUNCT
iajs-3478	174	14	(	(	PUNCT
iajs-3478	174	15	b	b	NOUN
iajs-3478	174	16	)	)	PUNCT
iajs-3478	174	17	ha=8	ha=8	NOUN
iajs-3478	174	18	,	,	PUNCT
iajs-3478	174	19	(	(	PUNCT
iajs-3478	174	20	c	c	NOUN
iajs-3478	174	21	)	)	PUNCT
iajs-3478	174	22	ha=8.5	ha=8.5	X
iajs-3478	175	1	when	when	SCONJ
iajs-3478	175	2	,	,	PUNCT
iajs-3478	175	3	𝛽	𝛽	NOUN
iajs-3478	175	4	=	=	SYM
iajs-3478	175	5	2.5	2.5	NUM
iajs-3478	175	6	,	,	PUNCT
iajs-3478	175	7	da	da	NOUN
iajs-3478	175	8	=	=	SYM
iajs-3478	175	9	10	10	NUM
iajs-3478	175	10	,	,	PUNCT
iajs-3478	175	11	𝜌	𝜌	X
iajs-3478	175	12	=	=	SYM
iajs-3478	175	13	0.7	0.7	NUM
iajs-3478	175	14	,	,	PUNCT
iajs-3478	175	15	𝑑	𝑑	NOUN
iajs-3478	175	16	=	=	SYM
iajs-3478	175	17	5	5	NUM
iajs-3478	175	18	,	,	PUNCT
iajs-3478	175	19	𝛺	𝛺	ADJ
iajs-3478	175	20	=	=	NOUN
iajs-3478	175	21	1.5	1.5	NUM
iajs-3478	175	22	,	,	PUNCT
iajs-3478	175	23	𝜇	𝜇	X
iajs-3478	175	24	=	=	NOUN
iajs-3478	175	25	3	3	NUM
iajs-3478	175	26	,	,	PUNCT
iajs-3478	175	27	𝑤	𝑤	PRON
iajs-3478	175	28	=	=	NOUN
iajs-3478	175	29	0.01	0.01	NUM
iajs-3478	175	30	,	,	PUNCT
iajs-3478	175	31	𝜙	𝜙	X
iajs-3478	175	32	=	=	SYM
iajs-3478	175	33	2.5	2.5	NUM
iajs-3478	175	34	,	,	PUNCT
iajs-3478	175	35	𝑎	𝑎	NOUN
iajs-3478	175	36	=	=	SYM
iajs-3478	175	37	0.4	0.4	NUM
iajs-3478	175	38	,	,	PUNCT
iajs-3478	175	39	𝑏	𝑏	PROPN
iajs-3478	175	40	=	=	SYM
iajs-3478	175	41	0.6	0.6	NUM
iajs-3478	175	42	,	,	PUNCT
iajs-3478	175	43	𝑑1	𝑑1	NOUN
iajs-3478	175	44	=	=	SYM
iajs-3478	175	45	0.5	0.5	NUM
iajs-3478	175	46	,	,	PUNCT
iajs-3478	175	47	𝐹	𝐹	PROPN
iajs-3478	175	48	°	°	NOUN
iajs-3478	175	49	=	=	SYM
iajs-3478	175	50	0.9	0.9	NUM
iajs-3478	175	51	,	,	PUNCT
iajs-3478	175	52	𝛽1	𝛽1	NOUN
iajs-3478	175	53	=	=	SYM
iajs-3478	175	54	4	4	NUM
iajs-3478	175	55	,	,	PUNCT
iajs-3478	175	56	𝛼	𝛼	NOUN
iajs-3478	175	57	=	=	SYM
iajs-3478	175	58	0.6	0.6	NUM
iajs-3478	175	59	figure	figure	NOUN
iajs-3478	175	60	3	3	NUM
iajs-3478	175	61	.	.	NOUN
iajs-3478	175	62	stream	stream	NOUN
iajs-3478	175	63	function	function	NOUN
iajs-3478	175	64	variation	variation	NOUN
iajs-3478	175	65	for	for	ADP
iajs-3478	175	66	different	different	ADJ
iajs-3478	175	67	(	(	PUNCT
iajs-3478	175	68	a	a	X
iajs-3478	175	69	)	)	PUNCT
iajs-3478	175	70	da=10	da=10	PROPN
iajs-3478	175	71	,	,	PUNCT
iajs-3478	175	72	(	(	PUNCT
iajs-3478	175	73	b	b	NOUN
iajs-3478	175	74	)	)	PUNCT
iajs-3478	175	75	da=1	da=1	NOUN
iajs-3478	175	76	,	,	PUNCT
iajs-3478	175	77	(	(	PUNCT
iajs-3478	175	78	c	c	NOUN
iajs-3478	175	79	)	)	PUNCT
iajs-3478	175	80	da=0.5	da=0.5	ADV
iajs-3478	175	81	when	when	SCONJ
iajs-3478	175	82	ha	ha	INTJ
iajs-3478	175	83	=	=	NOUN
iajs-3478	175	84	7.5	7.5	NUM
iajs-3478	175	85	,	,	PUNCT
iajs-3478	175	86	𝛽	𝛽	NOUN
iajs-3478	175	87	=	=	SYM
iajs-3478	175	88	2.5	2.5	NUM
iajs-3478	175	89	,	,	PUNCT
iajs-3478	175	90	𝜌	𝜌	X
iajs-3478	175	91	=	=	SYM
iajs-3478	175	92	0.7	0.7	NUM
iajs-3478	175	93	,	,	PUNCT
iajs-3478	175	94	𝑑	𝑑	NOUN
iajs-3478	175	95	=	=	SYM
iajs-3478	175	96	5	5	NUM
iajs-3478	175	97	,	,	PUNCT
iajs-3478	175	98	𝛺	𝛺	ADJ
iajs-3478	175	99	=	=	NOUN
iajs-3478	175	100	1.5	1.5	NUM
iajs-3478	175	101	,	,	PUNCT
iajs-3478	175	102	𝜇	𝜇	X
iajs-3478	175	103	=	=	NOUN
iajs-3478	175	104	3	3	NUM
iajs-3478	175	105	,	,	PUNCT
iajs-3478	175	106	𝑤	𝑤	PRON
iajs-3478	175	107	=	=	NOUN
iajs-3478	175	108	0.01	0.01	NUM
iajs-3478	175	109	,	,	PUNCT
iajs-3478	175	110	𝜙	𝜙	X
iajs-3478	175	111	=	=	SYM
iajs-3478	175	112	2.5	2.5	NUM
iajs-3478	175	113	,	,	PUNCT
iajs-3478	175	114	𝑎	𝑎	NOUN
iajs-3478	175	115	=	=	SYM
iajs-3478	175	116	0.4	0.4	NUM
iajs-3478	175	117	,	,	PUNCT
iajs-3478	175	118	𝑏	𝑏	PROPN
iajs-3478	175	119	=	=	SYM
iajs-3478	175	120	0.6	0.6	NUM
iajs-3478	175	121	,	,	PUNCT
iajs-3478	175	122	𝑑1	𝑑1	NOUN
iajs-3478	175	123	=	=	SYM
iajs-3478	175	124	0.5	0.5	NUM
iajs-3478	175	125	,	,	PUNCT
iajs-3478	175	126	𝐹	𝐹	PROPN
iajs-3478	175	127	°	°	NOUN
iajs-3478	175	128	=	=	SYM
iajs-3478	175	129	0.9	0.9	NUM
iajs-3478	175	130	,	,	PUNCT
iajs-3478	175	131	𝛽1	𝛽1	NOUN
iajs-3478	175	132	=	=	SYM
iajs-3478	175	133	4	4	NUM
iajs-3478	175	134	,	,	PUNCT
iajs-3478	175	135	𝛼	𝛼	PRON
iajs-3478	175	136	=	=	SYM
iajs-3478	175	137	0.6	0.6	NUM
iajs-3478	175	138	ihjpas	ihjpas	PROPN
iajs-3478	175	139	.	.	PUNCT
iajs-3478	176	1	2025	2025	NUM
iajs-3478	176	2	,	,	PUNCT
iajs-3478	176	3	38(2	38(2	NUM
iajs-3478	176	4	)	)	PUNCT
iajs-3478	176	5	312	312	NUM
iajs-3478	176	6	(	(	PUNCT
iajs-3478	176	7	a	a	NOUN
iajs-3478	176	8	)	)	PUNCT
iajs-3478	176	9	(	(	PUNCT
iajs-3478	176	10	b	b	X
iajs-3478	176	11	)	)	PUNCT
iajs-3478	176	12	(	(	PUNCT
iajs-3478	176	13	c	c	NOUN
iajs-3478	176	14	)	)	PUNCT
iajs-3478	176	15	figure	figure	NOUN
iajs-3478	176	16	4	4	NUM
iajs-3478	176	17	.	.	PUNCT
iajs-3478	176	18	stream	stream	NOUN
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iajs-3478	180	51	𝜇	𝜇	X
iajs-3478	180	52	=	=	NOUN
iajs-3478	180	53	3	3	NUM
iajs-3478	180	54	,	,	PUNCT
iajs-3478	180	55	𝑤	𝑤	PRON
iajs-3478	180	56	=	=	NOUN
iajs-3478	180	57	0.01	0.01	NUM
iajs-3478	180	58	,	,	PUNCT
iajs-3478	180	59	𝜙	𝜙	X
iajs-3478	180	60	=	=	SYM
iajs-3478	180	61	2.5	2.5	NUM
iajs-3478	180	62	,	,	PUNCT
iajs-3478	180	63	𝑎	𝑎	NOUN
iajs-3478	180	64	=	=	SYM
iajs-3478	180	65	0.4	0.4	NUM
iajs-3478	180	66	,	,	PUNCT
iajs-3478	180	67	𝑏	𝑏	PROPN
iajs-3478	180	68	=	=	SYM
iajs-3478	180	69	0.6	0.6	NUM
iajs-3478	180	70	,	,	PUNCT
iajs-3478	180	71	𝑑1	𝑑1	NOUN
iajs-3478	180	72	=	=	SYM
iajs-3478	180	73	0.5	0.5	NUM
iajs-3478	180	74	,	,	PUNCT
iajs-3478	180	75	𝐹	𝐹	PROPN
iajs-3478	180	76	°	°	NOUN
iajs-3478	180	77	=	=	SYM
iajs-3478	180	78	0.9	0.9	NUM
iajs-3478	180	79	,	,	PUNCT
iajs-3478	180	80	𝛼	𝛼	NOUN
iajs-3478	180	81	=	=	NOUN
iajs-3478	180	82	0.6	0.6	NUM
iajs-3478	180	83	4	4	NUM
iajs-3478	180	84	.	.	PUNCT
iajs-3478	181	1	conclusions	conclusion	NOUN
iajs-3478	181	2	this	this	DET
iajs-3478	181	3	study	study	NOUN
iajs-3478	181	4	examines	examine	VERB
iajs-3478	181	5	how	how	SCONJ
iajs-3478	181	6	coupling	couple	VERB
iajs-3478	181	7	stress	stress	NOUN
iajs-3478	181	8	,	,	PUNCT
iajs-3478	181	9	slip	slip	VERB
iajs-3478	181	10	condition	condition	NOUN
iajs-3478	181	11	,	,	PUNCT
iajs-3478	181	12	and	and	CCONJ
iajs-3478	181	13	rotation	rotation	NOUN
iajs-3478	181	14	affect	affect	VERB
iajs-3478	181	15	the	the	DET
iajs-3478	181	16	peristaltic	peristaltic	ADJ
iajs-3478	181	17	movement	movement	NOUN
iajs-3478	181	18	of	of	ADP
iajs-3478	181	19	a	a	DET
iajs-3478	181	20	powell	powell	NOUN
iajs-3478	181	21	-	-	PUNCT
iajs-3478	181	22	eyring	eyre	VERB
iajs-3478	181	23	fluid	fluid	NOUN
iajs-3478	181	24	through	through	ADP
iajs-3478	181	25	a	a	DET
iajs-3478	181	26	porous	porous	ADJ
iajs-3478	181	27	medium	medium	NOUN
iajs-3478	181	28	that	that	PRON
iajs-3478	181	29	is	be	AUX
iajs-3478	181	30	vulnerable	vulnerable	ADJ
iajs-3478	181	31	to	to	ADP
iajs-3478	181	32	inclined	inclined	ADJ
iajs-3478	181	33	mhd	mhd	NOUN
iajs-3478	181	34	and	and	CCONJ
iajs-3478	181	35	heat	heat	NOUN
iajs-3478	181	36	transfer	transfer	NOUN
iajs-3478	181	37	.	.	PUNCT
iajs-3478	182	1	the	the	DET
iajs-3478	182	2	asymmetric	asymmetric	ADJ
iajs-3478	182	3	channel	channel	NOUN
iajs-3478	182	4	is	be	AUX
iajs-3478	182	5	formed	form	VERB
iajs-3478	182	6	by	by	ADP
iajs-3478	182	7	selecting	select	VERB
iajs-3478	182	8	peristaltic	peristaltic	ADJ
iajs-3478	182	9	waves	wave	NOUN
iajs-3478	182	10	with	with	ADP
iajs-3478	182	11	varying	vary	VERB
iajs-3478	182	12	amplitudes	amplitude	NOUN
iajs-3478	182	13	and	and	CCONJ
iajs-3478	182	14	phases	phase	NOUN
iajs-3478	182	15	on	on	ADP
iajs-3478	182	16	the	the	DET
iajs-3478	182	17	non	non	ADJ
iajs-3478	182	18	-	-	ADJ
iajs-3478	182	19	uniform	uniform	ADJ
iajs-3478	182	20	walls	wall	NOUN
iajs-3478	182	21	and	and	CCONJ
iajs-3478	182	22	a	a	DET
iajs-3478	182	23	low	low	ADJ
iajs-3478	182	24	reynolds	reynolds	PROPN
iajs-3478	182	25	number	number	NOUN
iajs-3478	182	26	.	.	PUNCT
iajs-3478	183	1	the	the	DET
iajs-3478	183	2	formulas	formula	NOUN
iajs-3478	183	3	for	for	ADP
iajs-3478	183	4	stream	stream	NOUN
iajs-3478	183	5	function	function	NOUN
iajs-3478	183	6	are	be	AUX
iajs-3478	183	7	produced	produce	VERB
iajs-3478	183	8	.	.	PUNCT
iajs-3478	184	1	multiple	multiple	ADJ
iajs-3478	184	2	graphs	graph	NOUN
iajs-3478	184	3	are	be	AUX
iajs-3478	184	4	utilized	utilize	VERB
iajs-3478	184	5	for	for	ADP
iajs-3478	184	6	parameter	parameter	NOUN
iajs-3478	184	7	analysis	analysis	NOUN
iajs-3478	184	8	:	:	PUNCT
iajs-3478	184	9	when	when	SCONJ
iajs-3478	184	10	the	the	DET
iajs-3478	184	11	values	value	NOUN
iajs-3478	184	12	of	of	ADP
iajs-3478	184	13	the	the	DET
iajs-3478	184	14	hartman	hartman	PROPN
iajs-3478	184	15	number	number	NOUN
iajs-3478	184	16	(	(	PUNCT
iajs-3478	184	17	ha	ha	INTJ
iajs-3478	184	18	)	)	PUNCT
iajs-3478	184	19	,	,	PUNCT
iajs-3478	184	20	the	the	DET
iajs-3478	184	21	inclination	inclination	NOUN
iajs-3478	184	22	of	of	ADP
iajs-3478	184	23	the	the	DET
iajs-3478	184	24	magnetic	magnetic	ADJ
iajs-3478	184	25	field	field	NOUN
iajs-3478	184	26	(	(	PUNCT
iajs-3478	184	27	β	β	NOUN
iajs-3478	184	28	)	)	PUNCT
iajs-3478	184	29	,	,	PUNCT
iajs-3478	184	30	and	and	CCONJ
iajs-3478	184	31	the	the	DET
iajs-3478	184	32	couple	couple	NOUN
iajs-3478	184	33	stress	stress	NOUN
iajs-3478	184	34	parameter	parameter	NOUN
iajs-3478	184	35	(	(	PUNCT
iajs-3478	184	36	α	α	NOUN
iajs-3478	184	37	)	)	PUNCT
iajs-3478	184	38	increase	increase	NOUN
iajs-3478	184	39	leads	lead	VERB
iajs-3478	184	40	to	to	ADP
iajs-3478	184	41	an	an	DET
iajs-3478	184	42	increase	increase	NOUN
iajs-3478	184	43	in	in	ADP
iajs-3478	184	44	the	the	DET
iajs-3478	184	45	size	size	NOUN
iajs-3478	184	46	of	of	ADP
iajs-3478	184	47	the	the	DET
iajs-3478	184	48	trapped	trap	VERB
iajs-3478	184	49	bolus	bolus	NOUN
iajs-3478	184	50	and	and	CCONJ
iajs-3478	184	51	approaching	approach	VERB
iajs-3478	184	52	the	the	DET
iajs-3478	184	53	channel	channel	NOUN
iajs-3478	184	54	wall	wall	NOUN
iajs-3478	184	55	's	's	PART
iajs-3478	184	56	,	,	PUNCT
iajs-3478	184	57	while	while	SCONJ
iajs-3478	184	58	the	the	DET
iajs-3478	184	59	increases	increase	NOUN
iajs-3478	184	60	in	in	ADP
iajs-3478	184	61	the	the	DET
iajs-3478	184	62	values	value	NOUN
iajs-3478	184	63	of	of	ADP
iajs-3478	184	64	the	the	DET
iajs-3478	184	65	rotation	rotation	NOUN
iajs-3478	184	66	(	(	PUNCT
iajs-3478	184	67	ω	ω	NOUN
iajs-3478	184	68	)	)	PUNCT
iajs-3478	184	69	and	and	CCONJ
iajs-3478	184	70	the	the	DET
iajs-3478	184	71	values	value	NOUN
iajs-3478	184	72	of	of	ADP
iajs-3478	184	73	the	the	DET
iajs-3478	184	74	porous	porous	ADJ
iajs-3478	184	75	medium	medium	NOUN
iajs-3478	184	76	parameter	parameter	NOUN
iajs-3478	184	77	(	(	PUNCT
iajs-3478	184	78	w	w	NOUN
iajs-3478	184	79	)	)	PUNCT
iajs-3478	184	80	led	lead	VERB
iajs-3478	184	81	to	to	ADP
iajs-3478	184	82	the	the	DET
iajs-3478	184	83	decrease	decrease	NOUN
iajs-3478	184	84	in	in	ADP
iajs-3478	184	85	the	the	DET
iajs-3478	184	86	size	size	NOUN
iajs-3478	184	87	of	of	ADP
iajs-3478	184	88	the	the	DET
iajs-3478	184	89	trapped	trap	VERB
iajs-3478	184	90	bolus	bolus	NOUN
iajs-3478	184	91	and	and	CCONJ
iajs-3478	184	92	move	move	VERB
iajs-3478	184	93	away	away	ADV
iajs-3478	184	94	from	from	ADP
iajs-3478	184	95	the	the	DET
iajs-3478	184	96	channel	channel	NOUN
iajs-3478	184	97	walls	wall	NOUN
iajs-3478	184	98	.	.	PUNCT
iajs-3478	185	1	while	while	SCONJ
iajs-3478	185	2	,	,	PUNCT
iajs-3478	185	3	when	when	SCONJ
iajs-3478	185	4	the	the	DET
iajs-3478	185	5	values	value	NOUN
iajs-3478	185	6	of	of	ADP
iajs-3478	185	7	the	the	DET
iajs-3478	185	8	darcy	darcy	NOUN
iajs-3478	185	9	number	number	NOUN
iajs-3478	185	10	(	(	PUNCT
iajs-3478	185	11	da	da	NOUN
iajs-3478	185	12	)	)	PUNCT
iajs-3478	185	13	decrease	decrease	NOUN
iajs-3478	185	14	leading	lead	VERB
iajs-3478	185	15	to	to	ADP
iajs-3478	185	16	the	the	DET
iajs-3478	185	17	increase	increase	NOUN
iajs-3478	185	18	in	in	ADP
iajs-3478	185	19	the	the	DET
iajs-3478	185	20	size	size	NOUN
iajs-3478	185	21	of	of	ADP
iajs-3478	185	22	the	the	DET
iajs-3478	185	23	trapped	trap	VERB
iajs-3478	185	24	bolus	bolus	NOUN
iajs-3478	185	25	and	and	CCONJ
iajs-3478	185	26	approaching	approach	VERB
iajs-3478	185	27	the	the	DET
iajs-3478	185	28	channel	channel	NOUN
iajs-3478	185	29	walls	wall	NOUN
iajs-3478	185	30	,	,	PUNCT
iajs-3478	185	31	the	the	DET
iajs-3478	185	32	opposite	opposite	NOUN
iajs-3478	185	33	occurs	occur	VERB
iajs-3478	185	34	when	when	SCONJ
iajs-3478	185	35	the	the	DET
iajs-3478	185	36	decrease	decrease	NOUN
iajs-3478	185	37	values	value	NOUN
iajs-3478	185	38	of	of	ADP
iajs-3478	185	39	the	the	DET
iajs-3478	185	40	amplitude	amplitude	NOUN
iajs-3478	185	41	ratio	ratio	NOUN
iajs-3478	185	42	(	(	PUNCT
iajs-3478	185	43	ϕ	ϕ	NOUN
iajs-3478	185	44	)	)	PUNCT
iajs-3478	185	45	and	and	CCONJ
iajs-3478	185	46	the	the	DET
iajs-3478	185	47	slip	slip	NOUN
iajs-3478	185	48	condition(𝛽1	condition(𝛽1	NOUN
iajs-3478	185	49	)	)	PUNCT
iajs-3478	185	50	.	.	PUNCT
iajs-3478	186	1	ihjpas	ihjpas	PROPN
iajs-3478	186	2	.	.	PUNCT
iajs-3478	187	1	2025	2025	NUM
iajs-3478	187	2	,	,	PUNCT
iajs-3478	187	3	38(2	38(2	NUM
iajs-3478	187	4	)	)	PUNCT
iajs-3478	187	5	314	314	NUM
iajs-3478	187	6	acknowledgment	acknowledgment	NOUN
iajs-3478	187	7	we	we	PRON
iajs-3478	187	8	hereby	hereby	ADV
iajs-3478	187	9	confirm	confirm	VERB
iajs-3478	187	10	that	that	SCONJ
iajs-3478	187	11	all	all	DET
iajs-3478	187	12	the	the	DET
iajs-3478	187	13	figures	figure	NOUN
iajs-3478	187	14	and	and	CCONJ
iajs-3478	187	15	tables	table	NOUN
iajs-3478	187	16	in	in	ADP
iajs-3478	187	17	the	the	DET
iajs-3478	187	18	manuscript	manuscript	NOUN
iajs-3478	187	19	are	be	AUX
iajs-3478	187	20	ours	ours	PRON
iajs-3478	187	21	.	.	PUNCT
iajs-3478	188	1	furthermore	furthermore	ADV
iajs-3478	188	2	,	,	PUNCT
iajs-3478	188	3	any	any	DET
iajs-3478	188	4	figures	figure	NOUN
iajs-3478	188	5	and	and	CCONJ
iajs-3478	188	6	images	image	NOUN
iajs-3478	188	7	,	,	PUNCT
iajs-3478	188	8	that	that	PRON
iajs-3478	188	9	are	be	AUX
iajs-3478	188	10	not	not	PART
iajs-3478	188	11	ours	ours	ADJ
iajs-3478	188	12	,	,	PUNCT
iajs-3478	188	13	have	have	AUX
iajs-3478	188	14	been	be	AUX
iajs-3478	188	15	included	include	VERB
iajs-3478	188	16	with	with	ADP
iajs-3478	188	17	the	the	DET
iajs-3478	188	18	necessary	necessary	ADJ
iajs-3478	188	19	permission	permission	NOUN
iajs-3478	188	20	for	for	ADP
iajs-3478	188	21	republication	republication	NOUN
iajs-3478	188	22	,	,	PUNCT
iajs-3478	188	23	which	which	PRON
iajs-3478	188	24	is	be	AUX
iajs-3478	188	25	attached	attach	VERB
iajs-3478	188	26	to	to	ADP
iajs-3478	188	27	the	the	DET
iajs-3478	188	28	manuscript	manuscript	NOUN
iajs-3478	188	29	.	.	PUNCT
iajs-3478	189	1	conflict	conflict	NOUN
iajs-3478	189	2	of	of	ADP
iajs-3478	189	3	interest	interest	NOUN
iajs-3478	189	4	the	the	DET
iajs-3478	189	5	authors	author	NOUN
iajs-3478	189	6	declare	declare	VERB
iajs-3478	189	7	that	that	SCONJ
iajs-3478	189	8	they	they	PRON
iajs-3478	189	9	have	have	VERB
iajs-3478	189	10	no	no	DET
iajs-3478	189	11	conflicts	conflict	NOUN
iajs-3478	189	12	of	of	ADP
iajs-3478	189	13	interest	interest	NOUN
iajs-3478	189	14	.	.	PUNCT
iajs-3478	190	1	funding	funding	NOUN
iajs-3478	190	2	there	there	PRON
iajs-3478	190	3	is	be	VERB
iajs-3478	190	4	no	no	DET
iajs-3478	190	5	funding	funding	NOUN
iajs-3478	190	6	for	for	ADP
iajs-3478	190	7	the	the	DET
iajs-3478	190	8	article	article	NOUN
iajs-3478	190	9	.	.	PUNCT
iajs-3478	191	1	references	reference	NOUN
iajs-3478	191	2	1	1	NUM
iajs-3478	191	3	.	.	PUNCT
iajs-3478	192	1	latham	latham	PROPN
iajs-3478	192	2	tw	tw	PROPN
iajs-3478	192	3	.	.	PUNCT
iajs-3478	192	4	fluid	fluid	ADJ
iajs-3478	192	5	motion	motion	NOUN
iajs-3478	192	6	in	in	ADP
iajs-3478	192	7	peristaltic	peristaltic	ADJ
iajs-3478	192	8	pumps	pump	NOUN
iajs-3478	192	9	.	.	PUNCT
iajs-3478	193	1	m.s	m.s	PROPN
iajs-3478	193	2	.	.	PROPN
iajs-3478	193	3	thesis	thesis	PROPN
iajs-3478	193	4	,	,	PUNCT
iajs-3478	193	5	massachusetts	massachusetts	PROPN
iajs-3478	193	6	institute	institute	PROPN
iajs-3478	193	7	of	of	ADP
iajs-3478	193	8	technology	technology	PROPN
iajs-3478	193	9	,	,	PUNCT
iajs-3478	193	10	1966	1966	NUM
iajs-3478	193	11	.	.	PUNCT
iajs-3478	194	1	2	2	X
iajs-3478	194	2	.	.	X
iajs-3478	194	3	hina	hina	PROPN
iajs-3478	194	4	s	s	PROPN
iajs-3478	194	5	,	,	PUNCT
iajs-3478	194	6	mustafa	mustafa	PROPN
iajs-3478	194	7	m	m	PROPN
iajs-3478	194	8	,	,	PUNCT
iajs-3478	194	9	hayat	hayat	PROPN
iajs-3478	194	10	t	t	PROPN
iajs-3478	194	11	,	,	PUNCT
iajs-3478	194	12	alsaedi	alsaedi	ADJ
iajs-3478	194	13	a.	a.	NOUN
iajs-3478	194	14	peristaltic	peristaltic	ADJ
iajs-3478	194	15	flow	flow	NOUN
iajs-3478	194	16	of	of	ADP
iajs-3478	194	17	powell	powell	NOUN
iajs-3478	194	18	-	-	PUNCT
iajs-3478	194	19	eyring	eyre	VERB
iajs-3478	194	20	fluid	fluid	NOUN
iajs-3478	194	21	in	in	ADP
iajs-3478	194	22	curved	curved	ADJ
iajs-3478	194	23	channel	channel	NOUN
iajs-3478	194	24	with	with	ADP
iajs-3478	194	25	heat	heat	NOUN
iajs-3478	194	26	transfer	transfer	NOUN
iajs-3478	194	27	:	:	PUNCT
iajs-3478	194	28	a	a	DET
iajs-3478	194	29	useful	useful	ADJ
iajs-3478	194	30	application	application	NOUN
iajs-3478	194	31	in	in	ADP
iajs-3478	194	32	biomedicine	biomedicine	NOUN
iajs-3478	194	33	.	.	PUNCT
iajs-3478	195	1	comput	comput	NOUN
iajs-3478	195	2	methods	method	NOUN
iajs-3478	195	3	programs	program	NOUN
iajs-3478	195	4	biomed	biome	VERB
iajs-3478	195	5	.	.	PUNCT
iajs-3478	196	1	2016;135:89	2016;135:89	NOUN
iajs-3478	196	2	–	–	PUNCT
iajs-3478	196	3	100	100	NUM
iajs-3478	196	4	.	.	PUNCT
iajs-3478	197	1	https://doi.org/10.1016/j.cmpb.2016.07.019	https://doi.org/10.1016/j.cmpb.2016.07.019	PROPN
iajs-3478	197	2	3	3	NUM
iajs-3478	197	3	.	.	PUNCT
iajs-3478	197	4	hayat	hayat	PROPN
iajs-3478	197	5	t	t	PROPN
iajs-3478	197	6	,	,	PUNCT
iajs-3478	197	7	aslam	aslam	PROPN
iajs-3478	197	8	n	n	PROPN
iajs-3478	197	9	,	,	PUNCT
iajs-3478	197	10	rafiq	rafiq	PROPN
iajs-3478	197	11	m	m	PROPN
iajs-3478	197	12	,	,	PUNCT
iajs-3478	197	13	alsaadi	alsaadi	PROPN
iajs-3478	197	14	fe	fe	PROPN
iajs-3478	197	15	.	.	PROPN
iajs-3478	197	16	hall	hall	PROPN
iajs-3478	197	17	and	and	CCONJ
iajs-3478	197	18	joule	joule	NOUN
iajs-3478	197	19	heating	heating	NOUN
iajs-3478	197	20	effects	effect	NOUN
iajs-3478	197	21	on	on	ADP
iajs-3478	197	22	peristaltic	peristaltic	ADJ
iajs-3478	197	23	flow	flow	NOUN
iajs-3478	197	24	of	of	ADP
iajs-3478	197	25	powell	powell	PROPN
iajs-3478	197	26	–	–	PUNCT
iajs-3478	197	27	eyring	eyre	VERB
iajs-3478	197	28	liquid	liquid	NOUN
iajs-3478	197	29	in	in	ADP
iajs-3478	197	30	an	an	DET
iajs-3478	197	31	inclined	inclined	ADJ
iajs-3478	197	32	symmetric	symmetric	ADJ
iajs-3478	197	33	channel	channel	NOUN
iajs-3478	197	34	.	.	PUNCT
iajs-3478	198	1	results	result	NOUN
iajs-3478	198	2	in	in	ADP
iajs-3478	198	3	physics	physics	NOUN
iajs-3478	198	4	.	.	PUNCT
iajs-3478	199	1	2017;7:518–528	2017;7:518–528	NUM
iajs-3478	199	2	.	.	PUNCT
iajs-3478	200	1	https://doi.org/10.1016/j.rinp.2017.01.008	https://doi.org/10.1016/j.rinp.2017.01.008	PROPN
iajs-3478	200	2	4	4	NUM
iajs-3478	200	3	.	.	PUNCT
iajs-3478	200	4	ali	ali	PROPN
iajs-3478	200	5	ha	ha	PROPN
iajs-3478	200	6	,	,	PUNCT
iajs-3478	200	7	abdulhadi	abdulhadi	PROPN
iajs-3478	200	8	am	am	PROPN
iajs-3478	200	9	.	.	PUNCT
iajs-3478	201	1	analysis	analysis	NOUN
iajs-3478	201	2	of	of	ADP
iajs-3478	201	3	heat	heat	NOUN
iajs-3478	201	4	transfer	transfer	NOUN
iajs-3478	201	5	on	on	ADP
iajs-3478	201	6	peristaltic	peristaltic	ADJ
iajs-3478	201	7	transport	transport	NOUN
iajs-3478	201	8	of	of	ADP
iajs-3478	201	9	powell	powell	PROPN
iajs-3478	201	10	-	-	PUNCT
iajs-3478	201	11	eyring	eyre	VERB
iajs-3478	201	12	fluid	fluid	NOUN
iajs-3478	201	13	in	in	ADP
iajs-3478	201	14	an	an	DET
iajs-3478	201	15	inclined	inclined	ADJ
iajs-3478	201	16	tapered	tapered	ADJ
iajs-3478	201	17	symmetric	symmetric	ADJ
iajs-3478	201	18	channel	channel	NOUN
iajs-3478	201	19	with	with	ADP
iajs-3478	201	20	hall	hall	NOUN
iajs-3478	201	21	and	and	CCONJ
iajs-3478	201	22	ohm	ohm	NOUN
iajs-3478	201	23	’s	’s	PART
iajs-3478	201	24	heating	heating	NOUN
iajs-3478	201	25	influences	influence	NOUN
iajs-3478	201	26	.	.	PUNCT
iajs-3478	202	1	j	j	PROPN
iajs-3478	202	2	al	al	PROPN
iajs-3478	202	3	-	-	PUNCT
iajs-3478	202	4	qadisiyah	qadisiyah	NOUN
iajs-3478	202	5	comput	comput	VERB
iajs-3478	202	6	sci	sci	PROPN
iajs-3478	202	7	math	math	NOUN
iajs-3478	202	8	.	.	PUNCT
iajs-3478	203	1	2018;10:26–41	2018;10:26–41	NUM
iajs-3478	203	2	.	.	PUNCT
iajs-3478	204	1	https://doi.org/10.29304/jqcm.2018.10.2.364	https://doi.org/10.29304/jqcm.2018.10.2.364	VERB
iajs-3478	204	2	5	5	NUM
iajs-3478	204	3	.	.	PUNCT
iajs-3478	205	1	hussain	hussain	PROPN
iajs-3478	205	2	q	q	PROPN
iajs-3478	205	3	,	,	PUNCT
iajs-3478	205	4	alvi	alvi	PROPN
iajs-3478	205	5	n	n	CCONJ
iajs-3478	205	6	,	,	PUNCT
iajs-3478	205	7	latif	latif	PROPN
iajs-3478	205	8	t	t	PROPN
iajs-3478	205	9	,	,	PUNCT
iajs-3478	205	10	asghar	asghar	PROPN
iajs-3478	205	11	s.	s.	PROPN
iajs-3478	205	12	radiative	radiative	PROPN
iajs-3478	205	13	heat	heat	NOUN
iajs-3478	205	14	transfer	transfer	NOUN
iajs-3478	205	15	in	in	ADP
iajs-3478	205	16	powell	powell	PROPN
iajs-3478	205	17	–	–	PUNCT
iajs-3478	205	18	eyring	eyre	VERB
iajs-3478	205	19	nanofluid	nanofluid	NOUN
iajs-3478	205	20	with	with	ADP
iajs-3478	205	21	peristalsis	peristalsis	NOUN
iajs-3478	205	22	.	.	PUNCT
iajs-3478	206	1	int	int	NOUN
iajs-3478	206	2	j	j	PROPN
iajs-3478	206	3	thermophys	thermophy	NOUN
iajs-3478	206	4	.	.	PUNCT
iajs-3478	207	1	2019;40:1–20	2019;40:1–20	NUM
iajs-3478	208	1	.	.	PUNCT
iajs-3478	209	1	https://doi.org/10.1007/s10765-019-2510-8	https://doi.org/10.1007/s10765-019-2510-8	VERB
iajs-3478	209	2	6	6	NUM
iajs-3478	209	3	.	.	PUNCT
iajs-3478	209	4	hummady	hummady	PROPN
iajs-3478	209	5	lz	lz	PROPN
iajs-3478	209	6	.	.	PROPN
iajs-3478	209	7	effect	effect	NOUN
iajs-3478	209	8	of	of	ADP
iajs-3478	209	9	couple	couple	NOUN
iajs-3478	209	10	stress	stress	NOUN
iajs-3478	209	11	on	on	ADP
iajs-3478	209	12	peristaltic	peristaltic	ADJ
iajs-3478	209	13	transport	transport	NOUN
iajs-3478	209	14	of	of	ADP
iajs-3478	209	15	powell	powell	PROPN
iajs-3478	209	16	-	-	PUNCT
iajs-3478	209	17	eyring	eyre	VERB
iajs-3478	209	18	fluid	fluid	ADJ
iajs-3478	209	19	peristaltic	peristaltic	ADJ
iajs-3478	209	20	flow	flow	NOUN
iajs-3478	209	21	in	in	ADP
iajs-3478	209	22	inclined	inclined	ADJ
iajs-3478	209	23	asymmetric	asymmetric	ADJ
iajs-3478	209	24	channel	channel	NOUN
iajs-3478	209	25	with	with	ADP
iajs-3478	209	26	porous	porous	ADJ
iajs-3478	209	27	medium	medium	NOUN
iajs-3478	209	28	.	.	PUNCT
iajs-3478	210	1	wasit	wasit	PROPN
iajs-3478	210	2	j	j	PROPN
iajs-3478	210	3	comput	comput	PROPN
iajs-3478	210	4	math	math	PROPN
iajs-3478	210	5	sci	sci	PROPN
iajs-3478	210	6	.	.	PUNCT
iajs-3478	211	1	2022;1:106–118	2022;1:106–118	NUM
iajs-3478	211	2	.	.	PUNCT
iajs-3478	212	1	7	7	X
iajs-3478	212	2	.	.	X
iajs-3478	212	3	satya	satya	PROPN
iajs-3478	212	4	narayana	narayana	PROPN
iajs-3478	212	5	pv	pv	PROPN
iajs-3478	212	6	,	,	PUNCT
iajs-3478	212	7	tarakaramu	tarakaramu	PROPN
iajs-3478	212	8	n	n	CCONJ
iajs-3478	212	9	,	,	PUNCT
iajs-3478	212	10	moliya	moliya	PROPN
iajs-3478	212	11	akshit	akshit	PROPN
iajs-3478	212	12	s	s	PROPN
iajs-3478	212	13	,	,	PUNCT
iajs-3478	212	14	ghori	ghori	PROPN
iajs-3478	212	15	j.	j.	PROPN
iajs-3478	212	16	mhd	mhd	PROPN
iajs-3478	212	17	flow	flow	NOUN
iajs-3478	212	18	and	and	CCONJ
iajs-3478	212	19	heat	heat	NOUN
iajs-3478	212	20	transfer	transfer	NOUN
iajs-3478	212	21	of	of	ADP
iajs-3478	212	22	an	an	DET
iajs-3478	212	23	eyring	eyring	NOUN
iajs-3478	212	24	-	-	PUNCT
iajs-3478	212	25	powell	powell	NOUN
iajs-3478	212	26	fluid	fluid	NOUN
iajs-3478	212	27	over	over	ADP
iajs-3478	212	28	a	a	DET
iajs-3478	212	29	linear	linear	ADJ
iajs-3478	212	30	stretching	stretch	VERB
iajs-3478	212	31	sheet	sheet	NOUN
iajs-3478	212	32	with	with	ADP
iajs-3478	212	33	viscous	viscous	ADJ
iajs-3478	212	34	dissipation	dissipation	NOUN
iajs-3478	212	35	a	a	DET
iajs-3478	212	36	numerical	numerical	ADJ
iajs-3478	212	37	study	study	NOUN
iajs-3478	212	38	.	.	PUNCT
iajs-3478	213	1	front	front	ADJ
iajs-3478	213	2	heat	heat	NOUN
iajs-3478	213	3	mass	mass	NOUN
iajs-3478	213	4	transfer	transfer	NOUN
iajs-3478	213	5	(	(	PUNCT
iajs-3478	213	6	fhmt	fhmt	NOUN
iajs-3478	213	7	)	)	PUNCT
iajs-3478	213	8	.	.	PUNCT
iajs-3478	214	1	2017;9	2017;9	NUM
iajs-3478	214	2	.	.	PUNCT
iajs-3478	215	1	https://doi.org/10.5098/hmt.9.9	https://doi.org/10.5098/hmt.9.9	PROPN
iajs-3478	215	2	8	8	NUM
iajs-3478	215	3	.	.	PUNCT
iajs-3478	216	1	eldabe	eldabe	PROPN
iajs-3478	216	2	nt	nt	PROPN
iajs-3478	216	3	,	,	PUNCT
iajs-3478	216	4	kamel	kamel	PROPN
iajs-3478	216	5	ka	ka	PROPN
iajs-3478	216	6	,	,	PUNCT
iajs-3478	216	7	ramadan	ramadan	PROPN
iajs-3478	216	8	sf	sf	PROPN
iajs-3478	216	9	,	,	PUNCT
iajs-3478	216	10	saad	saad	PROPN
iajs-3478	216	11	ra	ra	PROPN
iajs-3478	216	12	.	.	PUNCT
iajs-3478	217	1	peristaltic	peristaltic	ADJ
iajs-3478	217	2	motion	motion	NOUN
iajs-3478	217	3	of	of	ADP
iajs-3478	217	4	eyring	eyring	NOUN
iajs-3478	217	5	-	-	PUNCT
iajs-3478	217	6	powell	powell	NOUN
iajs-3478	217	7	nano	nano	NOUN
iajs-3478	217	8	fluid	fluid	NOUN
iajs-3478	217	9	with	with	ADP
iajs-3478	217	10	couple	couple	NOUN
iajs-3478	217	11	stresses	stress	NOUN
iajs-3478	217	12	and	and	CCONJ
iajs-3478	217	13	heat	heat	NOUN
iajs-3478	217	14	and	and	CCONJ
iajs-3478	217	15	mass	mass	NOUN
iajs-3478	217	16	transfer	transfer	NOUN
iajs-3478	217	17	through	through	ADP
iajs-3478	217	18	a	a	DET
iajs-3478	217	19	porous	porous	ADJ
iajs-3478	217	20	media	medium	NOUN
iajs-3478	217	21	under	under	ADP
iajs-3478	217	22	the	the	DET
iajs-3478	217	23	effect	effect	NOUN
iajs-3478	217	24	of	of	ADP
iajs-3478	217	25	magnetic	magnetic	ADJ
iajs-3478	217	26	field	field	NOUN
iajs-3478	217	27	inside	inside	ADP
iajs-3478	217	28	asymmetric	asymmetric	ADJ
iajs-3478	217	29	vertical	vertical	ADJ
iajs-3478	217	30	channel	channel	PROPN
iajs-3478	217	31	.	.	PUNCT
iajs-3478	218	1	j	j	PROPN
iajs-3478	218	2	adv	adv	PROPN
iajs-3478	218	3	res	re	NOUN
iajs-3478	218	4	fluid	fluid	ADJ
iajs-3478	218	5	mech	mech	NOUN
iajs-3478	218	6	therm	therm	PROPN
iajs-3478	218	7	sci	sci	PROPN
iajs-3478	218	8	.	.	PUNCT
iajs-3478	218	9	2020;68:58–71	2020;68:58–71	NUM
iajs-3478	218	10	.	.	PUNCT
iajs-3478	218	11	https://doi.org/10.37934/arfmts.68.2.5871	https://doi.org/10.37934/arfmts.68.2.5871	PROPN
iajs-3478	218	12	9	9	NUM
iajs-3478	218	13	.	.	PUNCT
iajs-3478	219	1	noreen	noreen	PROPN
iajs-3478	219	2	s	s	PROPN
iajs-3478	219	3	,	,	PUNCT
iajs-3478	219	4	kausar	kausar	PROPN
iajs-3478	219	5	t	t	PROPN
iajs-3478	219	6	,	,	PUNCT
iajs-3478	219	7	tripathi	tripathi	PROPN
iajs-3478	219	8	d	d	PROPN
iajs-3478	219	9	,	,	PUNCT
iajs-3478	219	10	ain	ain	PROPN
iajs-3478	219	11	qu	qu	PROPN
iajs-3478	219	12	,	,	PUNCT
iajs-3478	219	13	lu	lu	PROPN
iajs-3478	219	14	dc	dc	PROPN
iajs-3478	219	15	.	.	PUNCT
iajs-3478	220	1	heat	heat	NOUN
iajs-3478	220	2	transfer	transfer	NOUN
iajs-3478	220	3	analysis	analysis	NOUN
iajs-3478	220	4	on	on	ADP
iajs-3478	220	5	creeping	creep	VERB
iajs-3478	220	6	flow	flow	NOUN
iajs-3478	220	7	carreau	carreau	PROPN
iajs-3478	220	8	fluid	fluid	NOUN
iajs-3478	220	9	driven	drive	VERB
iajs-3478	220	10	by	by	ADP
iajs-3478	220	11	peristaltic	peristaltic	ADJ
iajs-3478	220	12	pumping	pumping	NOUN
iajs-3478	220	13	in	in	ADP
iajs-3478	220	14	an	an	DET
iajs-3478	220	15	inclined	inclined	ADJ
iajs-3478	220	16	asymmetric	asymmetric	ADJ
iajs-3478	220	17	channel	channel	NOUN
iajs-3478	220	18	.	.	PUNCT
iajs-3478	221	1	therm	therm	PROPN
iajs-3478	221	2	sci	sci	PROPN
iajs-3478	221	3	eng	eng	PROPN
iajs-3478	221	4	prog	prog	PROPN
iajs-3478	221	5	.	.	PUNCT
iajs-3478	222	1	2020;17	2020;17	NUM
iajs-3478	222	2	.	.	PUNCT
iajs-3478	223	1	https://doi.org/10.1016/j.tsep.2020.100486	https://doi.org/10.1016/j.tsep.2020.100486	PROPN
iajs-3478	223	2	10	10	NUM
iajs-3478	223	3	.	.	PUNCT
iajs-3478	224	1	khudair	khudair	PROPN
iajs-3478	224	2	ws	ws	PROPN
iajs-3478	224	3	,	,	PUNCT
iajs-3478	224	4	dwail	dwail	NOUN
iajs-3478	224	5	hh	hh	X
iajs-3478	224	6	.	.	PUNCT
iajs-3478	225	1	studying	study	VERB
iajs-3478	225	2	the	the	DET
iajs-3478	225	3	magnetohydrodynamics	magnetohydrodynamic	NOUN
iajs-3478	225	4	for	for	ADP
iajs-3478	225	5	williamson	williamson	PROPN
iajs-3478	225	6	fluid	fluid	NOUN
iajs-3478	225	7	with	with	ADP
iajs-3478	225	8	varying	vary	VERB
iajs-3478	225	9	temperature	temperature	NOUN
iajs-3478	225	10	and	and	CCONJ
iajs-3478	225	11	concentration	concentration	NOUN
iajs-3478	225	12	in	in	ADP
iajs-3478	225	13	an	an	DET
iajs-3478	225	14	inclined	inclined	ADJ
iajs-3478	225	15	channel	channel	NOUN
iajs-3478	225	16	with	with	ADP
iajs-3478	225	17	variable	variable	ADJ
iajs-3478	225	18	viscosity	viscosity	NOUN
iajs-3478	225	19	.	.	PUNCT
iajs-3478	226	1	baghdad	baghdad	PROPN
iajs-3478	226	2	sci	sci	PROPN
iajs-3478	226	3	j.	j.	PROPN
iajs-3478	226	4	2021;18:531	2021;18:531	PROPN
iajs-3478	226	5	.	.	PUNCT
iajs-3478	227	1	https://doi.org/10.21123/bsj.2021.18.3.0531	https://doi.org/10.21123/bsj.2021.18.3.0531	PROPN
iajs-3478	227	2	11	11	NUM
iajs-3478	227	3	.	.	PUNCT
iajs-3478	228	1	salih	salih	PROPN
iajs-3478	228	2	dg	dg	PROPN
iajs-3478	228	3	.	.	PUNCT
iajs-3478	229	1	influence	influence	NOUN
iajs-3478	229	2	of	of	ADP
iajs-3478	229	3	varying	vary	VERB
iajs-3478	229	4	temperature	temperature	NOUN
iajs-3478	229	5	and	and	CCONJ
iajs-3478	229	6	concentration	concentration	NOUN
iajs-3478	229	7	on	on	ADP
iajs-3478	229	8	magnetohydrodynamics	magnetohydrodynamic	NOUN
iajs-3478	229	9	peristaltic	peristaltic	ADJ
iajs-3478	229	10	transport	transport	NOUN
iajs-3478	229	11	for	for	ADP
iajs-3478	229	12	jeffrey	jeffrey	PROPN
iajs-3478	229	13	fluid	fluid	NOUN
iajs-3478	229	14	with	with	ADP
iajs-3478	229	15	a	a	DET
iajs-3478	229	16	nanoparticles	nanoparticle	NOUN
iajs-3478	229	17	phenomenon	phenomenon	NOUN
iajs-3478	229	18	through	through	ADP
iajs-3478	229	19	a	a	DET
iajs-3478	229	20	rectangular	rectangular	ADJ
iajs-3478	229	21	porous	porous	ADJ
iajs-3478	229	22	duct	duct	NOUN
iajs-3478	229	23	.	.	PUNCT
iajs-3478	230	1	baghdad	baghdad	PROPN
iajs-3478	230	2	sci	sci	PROPN
iajs-3478	230	3	j.	j.	PROPN
iajs-3478	230	4	2021;18:279	2021;18:279	PROPN
iajs-3478	230	5	.	.	PUNCT
iajs-3478	231	1	https://doi.org/10.21123/bsj.2021.18.2.0279	https://doi.org/10.21123/bsj.2021.18.2.0279	ADP
iajs-3478	231	2	12	12	NUM
iajs-3478	231	3	.	.	PUNCT
iajs-3478	232	1	ahmed	ahmed	PROPN
iajs-3478	232	2	ts	ts	PROPN
iajs-3478	232	3	.	.	PROPN
iajs-3478	232	4	effect	effect	NOUN
iajs-3478	232	5	of	of	ADP
iajs-3478	232	6	inclined	inclined	ADJ
iajs-3478	232	7	magnetic	magnetic	ADJ
iajs-3478	232	8	field	field	NOUN
iajs-3478	232	9	on	on	ADP
iajs-3478	232	10	peristaltic	peristaltic	ADJ
iajs-3478	232	11	flow	flow	NOUN
iajs-3478	232	12	of	of	ADP
iajs-3478	232	13	carreau	carreau	PROPN
iajs-3478	232	14	fluid	fluid	NOUN
iajs-3478	232	15	through	through	ADP
iajs-3478	232	16	porous	porous	ADJ
iajs-3478	232	17	medium	medium	NOUN
iajs-3478	232	18	in	in	ADP
iajs-3478	232	19	an	an	DET
iajs-3478	232	20	inclined	inclined	ADJ
iajs-3478	232	21	tapered	tapered	ADJ
iajs-3478	232	22	asymmetric	asymmetric	ADJ
iajs-3478	232	23	channel	channel	NOUN
iajs-3478	232	24	.	.	PUNCT
iajs-3478	233	1	al	al	PROPN
iajs-3478	233	2	-	-	PUNCT
iajs-3478	233	3	mustansiriyah	mustansiriyah	PROPN
iajs-3478	233	4	j	j	PROPN
iajs-3478	233	5	sci	sci	PROPN
iajs-3478	233	6	.	.	PUNCT
iajs-3478	234	1	2018;29:94–105	2018;29:94–105	PROPN
iajs-3478	234	2	.	.	PUNCT
iajs-3478	235	1	https://doi.org/10.23851/mjs.v29i3.641	https://doi.org/10.23851/mjs.v29i3.641	PROPN
iajs-3478	235	2	https://doi.org/10.1016/j.cmpb.2016.07.019	https://doi.org/10.1016/j.cmpb.2016.07.019	NUM
iajs-3478	235	3	https://doi.org/10.1016/j.rinp.2017.01.008	https://doi.org/10.1016/j.rinp.2017.01.008	NOUN
iajs-3478	235	4	https://doi.org/10.1007/s10765-019-2510-8	https://doi.org/10.1007/s10765-019-2510-8	NUM
iajs-3478	235	5	https://doi.org/10.37934/arfmts.68.2.5871	https://doi.org/10.37934/arfmts.68.2.5871	NOUN
iajs-3478	235	6	https://doi.org/10.21123/bsj.2021.18.3.0531	https://doi.org/10.21123/bsj.2021.18.3.0531	PROPN
iajs-3478	235	7	https://doi.org/10.21123/bsj.2021.18.2.0279	https://doi.org/10.21123/bsj.2021.18.2.0279	PROPN
iajs-3478	235	8	https://doi.org/10.23851/mjs.v29i3.641	https://doi.org/10.23851/mjs.v29i3.641	NOUN
iajs-3478	235	9	ihjpas	ihjpa	NOUN
iajs-3478	235	10	.	.	PUNCT
iajs-3478	236	1	2025	2025	NUM
iajs-3478	236	2	,	,	PUNCT
iajs-3478	236	3	38(2	38(2	NUM
iajs-3478	236	4	)	)	PUNCT
iajs-3478	236	5	315	315	NUM
iajs-3478	236	6	13	13	NUM
iajs-3478	236	7	.	.	PUNCT
iajs-3478	237	1	mhammad	mhammad	PROPN
iajs-3478	237	2	gg	gg	PROPN
iajs-3478	237	3	.	.	PUNCT
iajs-3478	237	4	effect	effect	NOUN
iajs-3478	237	5	of	of	ADP
iajs-3478	237	6	inclined	inclined	ADJ
iajs-3478	237	7	magnetic	magnetic	ADJ
iajs-3478	237	8	field	field	NOUN
iajs-3478	237	9	on	on	ADP
iajs-3478	237	10	the	the	DET
iajs-3478	237	11	peristaltic	peristaltic	ADJ
iajs-3478	237	12	flow	flow	NOUN
iajs-3478	237	13	of	of	ADP
iajs-3478	237	14	non	non	ADJ
iajs-3478	237	15	-	-	ADJ
iajs-3478	237	16	newtonian	newtonian	ADJ
iajs-3478	237	17	fluid	fluid	NOUN
iajs-3478	237	18	with	with	ADP
iajs-3478	237	19	partial	partial	ADJ
iajs-3478	237	20	slip	slip	NOUN
iajs-3478	237	21	and	and	CCONJ
iajs-3478	237	22	couple	couple	NOUN
iajs-3478	237	23	stress	stress	NOUN
iajs-3478	237	24	in	in	ADP
iajs-3478	237	25	a	a	DET
iajs-3478	237	26	symmetric	symmetric	ADJ
iajs-3478	237	27	channel	channel	NOUN
iajs-3478	237	28	.	.	PUNCT
iajs-3478	238	1	br	br	PROPN
iajs-3478	238	2	j	j	PROPN
iajs-3478	238	3	appl	appl	PROPN
iajs-3478	238	4	sci	sci	PROPN
iajs-3478	238	5	technol	technol	NOUN
iajs-3478	238	6	.	.	PUNCT
iajs-3478	239	1	2016;15(3).1	2016;15(3).1	NUM
iajs-3478	239	2	-	-	SYM
iajs-3478	239	3	11	11	NUM
iajs-3478	239	4	.	.	PUNCT
iajs-3478	240	1	https://doi.org/10.9734/bjast/2016/23407	https://doi.org/10.9734/bjast/2016/23407	NOUN
iajs-3478	240	2	14	14	NUM
iajs-3478	240	3	.	.	PUNCT
iajs-3478	241	1	jasim	jasim	PROPN
iajs-3478	241	2	am	be	AUX
iajs-3478	241	3	.	.	PUNCT
iajs-3478	242	1	study	study	NOUN
iajs-3478	242	2	of	of	ADP
iajs-3478	242	3	the	the	DET
iajs-3478	242	4	impact	impact	NOUN
iajs-3478	242	5	of	of	ADP
iajs-3478	242	6	unsteady	unsteady	ADJ
iajs-3478	242	7	squeezing	squeeze	VERB
iajs-3478	242	8	magnetohydrodynamics	magnetohydrodynamic	NOUN
iajs-3478	242	9	copper	copper	NOUN
iajs-3478	242	10	-	-	NOUN
iajs-3478	242	11	water	water	NOUN
iajs-3478	242	12	with	with	ADP
iajs-3478	242	13	injection	injection	NOUN
iajs-3478	242	14	-	-	PUNCT
iajs-3478	242	15	suction	suction	NOUN
iajs-3478	242	16	on	on	ADP
iajs-3478	242	17	nanofluid	nanofluid	ADJ
iajs-3478	242	18	flow	flow	NOUN
iajs-3478	242	19	between	between	ADP
iajs-3478	242	20	two	two	NUM
iajs-3478	242	21	parallel	parallel	ADJ
iajs-3478	242	22	plates	plate	NOUN
iajs-3478	242	23	in	in	ADP
iajs-3478	242	24	porous	porous	ADJ
iajs-3478	242	25	medium	medium	NOUN
iajs-3478	242	26	.	.	PUNCT
iajs-3478	243	1	iraqi	iraqi	PROPN
iajs-3478	243	2	j	j	PROPN
iajs-3478	243	3	sci	sci	PROPN
iajs-3478	243	4	.	.	PUNCT
iajs-3478	244	1	2022;63:3909–3924	2022;63:3909–3924	PROPN
iajs-3478	244	2	.	.	PUNCT
iajs-3478	245	1	https://doi.org/10.24996/ijs.2022.63.9.23	https://doi.org/10.24996/ijs.2022.63.9.23	PROPN
iajs-3478	245	2	15	15	NUM
iajs-3478	245	3	.	.	PUNCT
iajs-3478	246	1	ali	ali	PROPN
iajs-3478	246	2	ha	ha	PROPN
iajs-3478	246	3	.	.	PROPN
iajs-3478	246	4	impact	impact	NOUN
iajs-3478	246	5	of	of	ADP
iajs-3478	246	6	varying	vary	VERB
iajs-3478	246	7	viscosity	viscosity	NOUN
iajs-3478	246	8	with	with	ADP
iajs-3478	246	9	hall	hall	PROPN
iajs-3478	246	10	current	current	ADJ
iajs-3478	246	11	on	on	ADP
iajs-3478	246	12	peristaltic	peristaltic	ADJ
iajs-3478	246	13	flow	flow	NOUN
iajs-3478	246	14	of	of	ADP
iajs-3478	246	15	viscoelastic	viscoelastic	ADJ
iajs-3478	246	16	fluid	fluid	NOUN
iajs-3478	246	17	through	through	ADP
iajs-3478	246	18	porous	porous	ADJ
iajs-3478	246	19	medium	medium	NOUN
iajs-3478	246	20	in	in	ADP
iajs-3478	246	21	irregular	irregular	ADJ
iajs-3478	246	22	microchannel	microchannel	NOUN
iajs-3478	246	23	.	.	PUNCT
iajs-3478	247	1	iraqi	iraqi	PROPN
iajs-3478	247	2	j	j	PROPN
iajs-3478	247	3	sci	sci	PROPN
iajs-3478	247	4	.	.	PUNCT
iajs-3478	248	1	2022;63:1265–1276	2022;63:1265–1276	PROPN
iajs-3478	248	2	.	.	PUNCT
iajs-3478	249	1	https://doi.org/10.24996/ijs.2022.63.3.31	https://doi.org/10.24996/ijs.2022.63.3.31	PROPN
iajs-3478	249	2	16	16	NUM
iajs-3478	249	3	.	.	PUNCT
iajs-3478	250	1	aziz	aziz	PROPN
iajs-3478	250	2	a	a	PROPN
iajs-3478	250	3	,	,	PUNCT
iajs-3478	250	4	jamshed	jamshe	VERB
iajs-3478	250	5	w	w	PROPN
iajs-3478	250	6	,	,	PUNCT
iajs-3478	250	7	aziz	aziz	PROPN
iajs-3478	250	8	t	t	PROPN
iajs-3478	250	9	,	,	PUNCT
iajs-3478	250	10	bahaidarah	bahaidarah	PROPN
iajs-3478	250	11	h	h	NOUN
iajs-3478	250	12	,	,	PUNCT
iajs-3478	250	13	ur	ur	PROPN
iajs-3478	250	14	rehman	rehman	PROPN
iajs-3478	250	15	k.	k.	PROPN
iajs-3478	250	16	entropy	entropy	PROPN
iajs-3478	250	17	analysis	analysis	NOUN
iajs-3478	250	18	of	of	ADP
iajs-3478	250	19	powell	powell	PROPN
iajs-3478	250	20	–	–	PUNCT
iajs-3478	250	21	eyring	eyre	VERB
iajs-3478	250	22	hybrid	hybrid	ADJ
iajs-3478	250	23	nanofluid	nanofluid	NOUN
iajs-3478	250	24	including	include	VERB
iajs-3478	250	25	effect	effect	NOUN
iajs-3478	250	26	of	of	ADP
iajs-3478	250	27	linear	linear	ADJ
iajs-3478	250	28	thermal	thermal	ADJ
iajs-3478	250	29	radiation	radiation	NOUN
iajs-3478	250	30	and	and	CCONJ
iajs-3478	250	31	viscous	viscous	ADJ
iajs-3478	250	32	dissipation	dissipation	NOUN
iajs-3478	250	33	.	.	PUNCT
iajs-3478	251	1	j	j	PROPN
iajs-3478	251	2	therm	therm	PROPN
iajs-3478	251	3	anal	anal	PROPN
iajs-3478	251	4	calorim	calorim	NOUN
iajs-3478	251	5	.	.	PUNCT
iajs-3478	252	1	2021;143:1331–1343	2021;143:1331–1343	X
iajs-3478	252	2	.	.	PUNCT
iajs-3478	252	3	https://doi.org/10.1007/s10973-020-10210-2	https://doi.org/10.1007/s10973-020-10210-2	PROPN
iajs-3478	252	4	17	17	NUM
iajs-3478	252	5	.	.	PUNCT
iajs-3478	252	6	kareem	kareem	PROPN
iajs-3478	252	7	rs	rs	PROPN
iajs-3478	252	8	,	,	PUNCT
iajs-3478	252	9	abdulhadi	abdulhadi	PROPN
iajs-3478	252	10	am	am	PROPN
iajs-3478	252	11	.	.	PUNCT
iajs-3478	253	1	impacts	impact	NOUN
iajs-3478	253	2	of	of	ADP
iajs-3478	253	3	heat	heat	NOUN
iajs-3478	253	4	and	and	CCONJ
iajs-3478	253	5	mass	mass	NOUN
iajs-3478	253	6	transfer	transfer	NOUN
iajs-3478	253	7	on	on	ADP
iajs-3478	253	8	magneto	magneto	ADJ
iajs-3478	253	9	hydrodynamic	hydrodynamic	ADJ
iajs-3478	253	10	peristaltic	peristaltic	ADJ
iajs-3478	253	11	flow	flow	NOUN
iajs-3478	253	12	having	have	VERB
iajs-3478	253	13	temperature	temperature	NOUN
iajs-3478	253	14	-	-	PUNCT
iajs-3478	253	15	dependent	dependent	ADJ
iajs-3478	253	16	properties	property	NOUN
iajs-3478	253	17	in	in	ADP
iajs-3478	253	18	an	an	DET
iajs-3478	253	19	inclined	inclined	ADJ
iajs-3478	253	20	channel	channel	NOUN
iajs-3478	253	21	through	through	ADP
iajs-3478	253	22	porous	porous	ADJ
iajs-3478	253	23	media	medium	NOUN
iajs-3478	253	24	.	.	PUNCT
iajs-3478	254	1	iraqi	iraqi	PROPN
iajs-3478	254	2	j	j	PROPN
iajs-3478	254	3	sci	sci	PROPN
iajs-3478	254	4	.	.	PUNCT
iajs-3478	254	5	2020;61:854–869	2020;61:854–869	PROPN
iajs-3478	254	6	.	.	PUNCT
iajs-3478	255	1	https://doi.org/10.24996/ijs.2020.61.4.19	https://doi.org/10.24996/ijs.2020.61.4.19	PROPN
iajs-3478	256	1	18	18	NUM
iajs-3478	256	2	.	.	PUNCT
iajs-3478	257	1	hage	hage	PROPN
iajs-3478	257	2	ak	ak	PROPN
iajs-3478	257	3	,	,	PUNCT
iajs-3478	257	4	hummady	hummady	ADJ
iajs-3478	257	5	lz	lz	PROPN
iajs-3478	257	6	.	.	PUNCT
iajs-3478	257	7	influence	influence	NOUN
iajs-3478	257	8	of	of	ADP
iajs-3478	257	9	inclined	inclined	ADJ
iajs-3478	257	10	magnetic	magnetic	ADJ
iajs-3478	257	11	field	field	NOUN
iajs-3478	257	12	and	and	CCONJ
iajs-3478	257	13	heat	heat	NOUN
iajs-3478	257	14	transfer	transfer	NOUN
iajs-3478	257	15	on	on	ADP
iajs-3478	257	16	peristaltic	peristaltic	ADJ
iajs-3478	257	17	transfer	transfer	NOUN
iajs-3478	257	18	powell	powell	NOUN
iajs-3478	257	19	-	-	PUNCT
iajs-3478	257	20	eyring	eyre	VERB
iajs-3478	257	21	fluid	fluid	NOUN
iajs-3478	257	22	in	in	ADP
iajs-3478	257	23	asymmetric	asymmetric	ADJ
iajs-3478	257	24	channel	channel	NOUN
iajs-3478	257	25	and	and	CCONJ
iajs-3478	257	26	porous	porous	ADJ
iajs-3478	257	27	medium	medium	NOUN
iajs-3478	257	28	.	.	PUNCT
iajs-3478	258	1	int	int	PROPN
iajs-3478	258	2	j	j	PROPN
iajs-3478	258	3	nonlinear	nonlinear	ADJ
iajs-3478	258	4	anal	anal	ADJ
iajs-3478	258	5	appl	appl	NOUN
iajs-3478	258	6	.	.	PUNCT
iajs-3478	258	7	2022	2022	NUM
iajs-3478	258	8	.	.	PUNCT
iajs-3478	259	1	https://doi.org/10.22075/ijnaa.2022.6469	https://doi.org/10.22075/ijnaa.2022.6469	PROPN
iajs-3478	259	2	19	19	NUM
iajs-3478	259	3	.	.	PUNCT
iajs-3478	259	4	mohaisen	mohaisen	PROPN
iajs-3478	259	5	hn	hn	PROPN
iajs-3478	259	6	,	,	PUNCT
iajs-3478	259	7	abedulhadi	abedulhadi	NOUN
iajs-3478	259	8	am	am	NOUN
iajs-3478	259	9	.	.	PUNCT
iajs-3478	260	1	effects	effect	NOUN
iajs-3478	260	2	of	of	ADP
iajs-3478	260	3	the	the	DET
iajs-3478	260	4	rotation	rotation	NOUN
iajs-3478	260	5	on	on	ADP
iajs-3478	260	6	the	the	DET
iajs-3478	260	7	mixed	mixed	ADJ
iajs-3478	260	8	convection	convection	NOUN
iajs-3478	260	9	heat	heat	NOUN
iajs-3478	260	10	transfer	transfer	NOUN
iajs-3478	260	11	analysis	analysis	NOUN
iajs-3478	260	12	for	for	ADP
iajs-3478	260	13	the	the	DET
iajs-3478	260	14	peristaltic	peristaltic	ADJ
iajs-3478	260	15	transport	transport	NOUN
iajs-3478	260	16	of	of	ADP
iajs-3478	260	17	viscoplastic	viscoplastic	ADJ
iajs-3478	260	18	fluid	fluid	NOUN
iajs-3478	260	19	in	in	ADP
iajs-3478	260	20	asymmetric	asymmetric	ADJ
iajs-3478	260	21	channel	channel	NOUN
iajs-3478	260	22	.	.	PUNCT
iajs-3478	261	1	iraqi	iraqi	PROPN
iajs-3478	261	2	j	j	PROPN
iajs-3478	261	3	sci	sci	PROPN
iajs-3478	261	4	.	.	PUNCT
iajs-3478	262	1	2022;63:1240	2022;63:1240	NUM
iajs-3478	262	2	–	–	PUNCT
iajs-3478	262	3	1257	1257	NUM
iajs-3478	262	4	.	.	PUNCT
iajs-3478	263	1	https://doi.org/10.24996/ijs.2022.63.3.29	https://doi.org/10.24996/ijs.2022.63.3.29	PROPN
iajs-3478	263	2	20	20	NUM
iajs-3478	263	3	.	.	PUNCT
iajs-3478	264	1	salih	salih	PROPN
iajs-3478	264	2	aw	aw	INTJ
iajs-3478	264	3	.	.	PROPN
iajs-3478	264	4	influence	influence	NOUN
iajs-3478	264	5	of	of	ADP
iajs-3478	264	6	rotation	rotation	NOUN
iajs-3478	264	7	,	,	PUNCT
iajs-3478	264	8	variable	variable	ADJ
iajs-3478	264	9	viscosity	viscosity	NOUN
iajs-3478	264	10	and	and	CCONJ
iajs-3478	264	11	temperature	temperature	NOUN
iajs-3478	264	12	on	on	ADP
iajs-3478	264	13	peristaltic	peristaltic	ADJ
iajs-3478	264	14	transport	transport	NOUN
iajs-3478	264	15	in	in	ADP
iajs-3478	264	16	an	an	DET
iajs-3478	264	17	asymmetric	asymmetric	ADJ
iajs-3478	264	18	channel	channel	NOUN
iajs-3478	264	19	.	.	PUNCT
iajs-3478	265	1	turk	turk	PROPN
iajs-3478	265	2	j	j	PROPN
iajs-3478	265	3	comput	comput	PROPN
iajs-3478	265	4	math	math	PROPN
iajs-3478	265	5	educ	educ	PROPN
iajs-3478	265	6	(	(	PUNCT
iajs-3478	265	7	turcomat	turcomat	NOUN
iajs-3478	265	8	)	)	PUNCT
iajs-3478	265	9	.	.	PUNCT
iajs-3478	266	1	2021;12:1047–1059	2021;12:1047–1059	NOUN
iajs-3478	266	2	.	.	PUNCT
iajs-3478	267	1	21	21	NUM
iajs-3478	267	2	.	.	X
iajs-3478	267	3	abdulhussein	abdulhussein	PROPN
iajs-3478	267	4	h	h	PROPN
iajs-3478	267	5	,	,	PUNCT
iajs-3478	267	6	abdulhadi	abdulhadi	PROPN
iajs-3478	267	7	am	am	PROPN
iajs-3478	267	8	.	.	PUNCT
iajs-3478	268	1	impact	impact	NOUN
iajs-3478	268	2	of	of	ADP
iajs-3478	268	3	couple	couple	NOUN
iajs-3478	268	4	stress	stress	NOUN
iajs-3478	268	5	and	and	CCONJ
iajs-3478	268	6	rotation	rotation	NOUN
iajs-3478	268	7	on	on	ADP
iajs-3478	268	8	peristaltic	peristaltic	ADJ
iajs-3478	268	9	transport	transport	NOUN
iajs-3478	268	10	of	of	ADP
iajs-3478	268	11	a	a	DET
iajs-3478	268	12	powell	powell	NOUN
iajs-3478	268	13	-	-	PUNCT
iajs-3478	268	14	eyring	eyre	VERB
iajs-3478	268	15	fluid	fluid	NOUN
iajs-3478	268	16	in	in	ADP
iajs-3478	268	17	an	an	DET
iajs-3478	268	18	inclined	inclined	ADJ
iajs-3478	268	19	asymmetric	asymmetric	ADJ
iajs-3478	268	20	channel	channel	NOUN
iajs-3478	268	21	with	with	ADP
iajs-3478	268	22	hall	hall	NOUN
iajs-3478	268	23	and	and	CCONJ
iajs-3478	268	24	joule	joule	PROPN
iajs-3478	268	25	heating	heating	NOUN
iajs-3478	268	26	.	.	PUNCT
iajs-3478	269	1	j	j	PROPN
iajs-3478	269	2	basic	basic	ADJ
iajs-3478	269	3	sci	sci	PROPN
iajs-3478	269	4	.	.	PUNCT
iajs-3478	270	1	2022;8	2022;8	PROPN
iajs-3478	270	2	.	.	PUNCT
iajs-3478	271	1	22	22	NUM
iajs-3478	271	2	.	.	PUNCT
iajs-3478	272	1	salman	salman	PROPN
iajs-3478	272	2	mr	mr	PROPN
iajs-3478	272	3	,	,	PUNCT
iajs-3478	272	4	abdulhadi	abdulhadi	PROPN
iajs-3478	272	5	am	am	PROPN
iajs-3478	272	6	.	.	PUNCT
iajs-3478	273	1	influence	influence	NOUN
iajs-3478	273	2	of	of	ADP
iajs-3478	273	3	heat	heat	NOUN
iajs-3478	273	4	and	and	CCONJ
iajs-3478	273	5	mass	mass	NOUN
iajs-3478	273	6	transfer	transfer	NOUN
iajs-3478	273	7	on	on	ADP
iajs-3478	273	8	inclined	inclined	ADJ
iajs-3478	273	9	(	(	PUNCT
iajs-3478	273	10	mhd	mhd	NOUN
iajs-3478	273	11	)	)	PUNCT
iajs-3478	273	12	peristaltic	peristaltic	NOUN
iajs-3478	273	13	of	of	ADP
iajs-3478	273	14	pseudoplastic	pseudoplastic	ADJ
iajs-3478	273	15	nanofluid	nanofluid	NOUN
iajs-3478	273	16	through	through	ADP
iajs-3478	273	17	the	the	DET
iajs-3478	273	18	porous	porous	ADJ
iajs-3478	273	19	medium	medium	NOUN
iajs-3478	273	20	with	with	ADP
iajs-3478	273	21	couple	couple	NOUN
iajs-3478	273	22	stress	stress	NOUN
iajs-3478	273	23	in	in	ADP
iajs-3478	273	24	an	an	DET
iajs-3478	273	25	inclined	inclined	ADJ
iajs-3478	273	26	asymmetric	asymmetric	ADJ
iajs-3478	273	27	channel	channel	NOUN
iajs-3478	273	28	.	.	PUNCT
iajs-3478	274	1	in	in	ADP
iajs-3478	274	2	:	:	PUNCT
iajs-3478	274	3	j	j	PROPN
iajs-3478	274	4	phys	phy	NOUN
iajs-3478	274	5	conf	conf	NOUN
iajs-3478	274	6	ser	ser	NOUN
iajs-3478	274	7	;	;	PUNCT
iajs-3478	274	8	iop	iop	NOUN
iajs-3478	274	9	publishing	publishing	NOUN
iajs-3478	274	10	;	;	PUNCT
iajs-3478	274	11	2018	2018	NUM
iajs-3478	274	12	;	;	PUNCT
iajs-3478	274	13	vol	vol	NOUN
iajs-3478	274	14	.	.	PUNCT
iajs-3478	274	15	1032	1032	NUM
iajs-3478	274	16	,	,	PUNCT
iajs-3478	274	17	p.	p.	NOUN
iajs-3478	274	18	12043	12043	NUM
iajs-3478	274	19	.	.	PUNCT
iajs-3478	275	1	https://doi.org/10.1088/1742-6596/1032/1/012043	https://doi.org/10.1088/1742-6596/1032/1/012043	X
iajs-3478	276	1	23	23	NUM
iajs-3478	276	2	.	.	PUNCT
iajs-3478	277	1	gamachu	gamachu	PROPN
iajs-3478	277	2	d	d	PROPN
iajs-3478	277	3	,	,	PUNCT
iajs-3478	277	4	ibrahim	ibrahim	PROPN
iajs-3478	277	5	w.	w.	PROPN
iajs-3478	277	6	entropy	entropy	PROPN
iajs-3478	277	7	production	production	NOUN
iajs-3478	277	8	on	on	ADP
iajs-3478	277	9	couple	couple	NOUN
iajs-3478	277	10	-	-	PUNCT
iajs-3478	277	11	stress	stress	NOUN
iajs-3478	277	12	hybrid	hybrid	ADJ
iajs-3478	277	13	nanofluid	nanofluid	ADJ
iajs-3478	277	14	flow	flow	NOUN
iajs-3478	277	15	in	in	ADP
iajs-3478	277	16	a	a	DET
iajs-3478	277	17	rocket	rocket	NOUN
iajs-3478	277	18	engine	engine	NOUN
iajs-3478	277	19	nozzle	nozzle	NOUN
iajs-3478	277	20	with	with	ADP
iajs-3478	277	21	non	non	ADJ
iajs-3478	277	22	-	-	ADJ
iajs-3478	277	23	fourier	fourier	ADJ
iajs-3478	277	24	’s	’s	PART
iajs-3478	277	25	and	and	CCONJ
iajs-3478	277	26	non	non	ADJ
iajs-3478	277	27	-	-	ADJ
iajs-3478	277	28	fick	fick	ADJ
iajs-3478	277	29	’s	’s	PART
iajs-3478	277	30	law	law	NOUN
iajs-3478	277	31	.	.	PUNCT
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iajs-3478	278	2	shams	shams	PROPN
iajs-3478	278	3	eng	eng	PROPN
iajs-3478	278	4	j.	j.	PROPN
iajs-3478	278	5	2023;14:101818	2023;14:101818	PROPN
iajs-3478	278	6	.	.	PUNCT
iajs-3478	279	1	https://doi.org/10.1016/j.asej.2022.101818	https://doi.org/10.1016/j.asej.2022.101818	PROPN
iajs-3478	279	2	24	24	NUM
iajs-3478	279	3	.	.	PUNCT
iajs-3478	280	1	prasad	prasad	PROPN
iajs-3478	280	2	kv	kv	PROPN
iajs-3478	280	3	,	,	PUNCT
iajs-3478	280	4	choudhari	choudhari	ADV
iajs-3478	280	5	r	r	NOUN
iajs-3478	280	6	,	,	PUNCT
iajs-3478	280	7	vaidya	vaidya	PROPN
iajs-3478	280	8	h	h	PROPN
iajs-3478	280	9	,	,	PUNCT
iajs-3478	280	10	bhat	bhat	PROPN
iajs-3478	280	11	a	a	PRON
iajs-3478	280	12	,	,	PUNCT
iajs-3478	280	13	animasaun	animasaun	PROPN
iajs-3478	280	14	il	il	PROPN
iajs-3478	280	15	.	.	PROPN
iajs-3478	280	16	analysis	analysis	NOUN
iajs-3478	280	17	of	of	ADP
iajs-3478	280	18	couple	couple	NOUN
iajs-3478	280	19	stress	stress	NOUN
iajs-3478	280	20	nanofluid	nanofluid	ADJ
iajs-3478	280	21	flow	flow	NOUN
iajs-3478	280	22	under	under	ADP
iajs-3478	280	23	convective	convective	ADJ
iajs-3478	280	24	condition	condition	NOUN
iajs-3478	280	25	in	in	ADP
iajs-3478	280	26	the	the	DET
iajs-3478	280	27	temperature‐dependent	temperature‐dependent	ADJ
iajs-3478	280	28	fluid	fluid	ADJ
iajs-3478	280	29	properties	property	NOUN
iajs-3478	280	30	and	and	CCONJ
iajs-3478	280	31	lorentz	lorentz	PROPN
iajs-3478	280	32	forces	force	NOUN
iajs-3478	280	33	.	.	PUNCT
iajs-3478	281	1	heat	heat	NOUN
iajs-3478	281	2	transfer	transfer	NOUN
iajs-3478	281	3	.	.	PUNCT
iajs-3478	282	1	2023;52:216–235	2023;52:216–235	X
iajs-3478	282	2	.	.	PUNCT
iajs-3478	282	3	https://doi.org/10.1002/htj.22692	https://doi.org/10.1002/htj.22692	PROPN
iajs-3478	282	4	https://doi.org/10.9734/bjast/2016/23407	https://doi.org/10.9734/bjast/2016/23407	NOUN
iajs-3478	282	5	https://doi.org/10.1007/s10973-020-10210-2	https://doi.org/10.1007/s10973-020-10210-2	NUM
iajs-3478	282	6	https://doi.org/10.24996/ijs.2020.61.4.19	https://doi.org/10.24996/ijs.2020.61.4.19	PUNCT
iajs-3478	283	1	https://doi.org/10.22075/ijnaa.2022.6469	https://doi.org/10.22075/ijnaa.2022.6469	PROPN
iajs-3478	283	2	https://doi.org/10.24996/ijs.2022.63.3.29	https://doi.org/10.24996/ijs.2022.63.3.29	PROPN
iajs-3478	283	3	https://doi.org/10.1088/1742-6596/1032/1/012043	https://doi.org/10.1088/1742-6596/1032/1/012043	NOUN
iajs-3478	283	4	https://doi.org/10.1016/j.asej.2022.101818	https://doi.org/10.1016/j.asej.2022.101818	NOUN
iajs-3478	283	5	https://doi.org/10.1002/htj.22692	https://doi.org/10.1002/htj.22692	PROPN