id	sid	tid	token	lemma	pos
iajs-2554	1	1	ibn	ibn	PROPN
iajs-2554	1	2	al	al	PROPN
iajs-2554	1	3	-	-	PUNCT
iajs-2554	1	4	haitham	haitham	PROPN
iajs-2554	1	5	jour	jour	X
iajs-2554	1	6	.	.	PROPN
iajs-2554	1	7	for	for	ADP
iajs-2554	1	8	pure	pure	ADJ
iajs-2554	1	9	&	&	CCONJ
iajs-2554	1	10	appl	appl	PROPN
iajs-2554	1	11	.	.	PUNCT
iajs-2554	2	1	sci	sci	PROPN
iajs-2554	2	2	.	.	PROPN
iajs-2554	3	1	34	34	NUM
iajs-2554	3	2	(	(	PUNCT
iajs-2554	3	3	1	1	NUM
iajs-2554	3	4	)	)	PUNCT
iajs-2554	3	5	2021	2021	NUM
iajs-2554	3	6	68	68	NUM
iajs-2554	3	7	hall	hall	NOUN
iajs-2554	3	8	and	and	CCONJ
iajs-2554	3	9	joule	joule	NOUN
iajs-2554	3	10	's	's	PART
iajs-2554	3	11	heating	heating	NOUN
iajs-2554	3	12	influences	influence	NOUN
iajs-2554	3	13	on	on	ADP
iajs-2554	3	14	peristaltic	peristaltic	ADJ
iajs-2554	3	15	transport	transport	NOUN
iajs-2554	3	16	of	of	ADP
iajs-2554	3	17	bingham	bingham	PROPN
iajs-2554	3	18	plastic	plastic	NOUN
iajs-2554	3	19	fluid	fluid	NOUN
iajs-2554	3	20	with	with	ADP
iajs-2554	3	21	variable	variable	ADJ
iajs-2554	3	22	viscosity	viscosity	NOUN
iajs-2554	3	23	in	in	ADP
iajs-2554	3	24	an	an	DET
iajs-2554	3	25	inclined	inclined	ADJ
iajs-2554	3	26	tapered	tapered	ADJ
iajs-2554	3	27	asymmetric	asymmetric	ADJ
iajs-2554	3	28	channel	channel	NOUN
iajs-2554	3	29	rasha	rasha	PROPN
iajs-2554	4	1	yousif	yousif	PROPN
iajs-2554	4	2	hassen	hassen	PROPN
iajs-2554	4	3	hayat	hayat	PROPN
iajs-2554	4	4	a.	a.	PROPN
iajs-2554	4	5	ali	ali	PROPN
iajs-2554	4	6	department	department	PROPN
iajs-2554	4	7	of	of	ADP
iajs-2554	4	8	mathematics	mathematic	NOUN
iajs-2554	4	9	and	and	CCONJ
iajs-2554	4	10	application	application	NOUN
iajs-2554	4	11	of	of	ADP
iajs-2554	4	12	computer	computer	NOUN
iajs-2554	4	13	,	,	PUNCT
iajs-2554	4	14	university	university	NOUN
iajs-2554	4	15	of	of	ADP
iajs-2554	4	16	technology	technology	NOUN
iajs-2554	4	17	,	,	PUNCT
iajs-2554	4	18	rashamath80@yahoo.com	rashamath80@yahoo.com	PROPN
iajs-2554	4	19	100048@uotechnology.edu.iq	100048@uotechnology.edu.iq	NUM
iajs-2554	4	20	abstract	abstract	NOUN
iajs-2554	4	21	this	this	DET
iajs-2554	4	22	paper	paper	NOUN
iajs-2554	4	23	presents	present	VERB
iajs-2554	4	24	an	an	DET
iajs-2554	4	25	investigation	investigation	NOUN
iajs-2554	4	26	of	of	ADP
iajs-2554	4	27	peristaltic	peristaltic	ADJ
iajs-2554	4	28	flow	flow	NOUN
iajs-2554	4	29	of	of	ADP
iajs-2554	4	30	bingham	bingham	PROPN
iajs-2554	4	31	plastic	plastic	NOUN
iajs-2554	4	32	fluid	fluid	NOUN
iajs-2554	4	33	in	in	ADP
iajs-2554	4	34	an	an	DET
iajs-2554	4	35	inclined	inclined	ADJ
iajs-2554	4	36	tapered	tapered	ADJ
iajs-2554	4	37	asymmetric	asymmetric	ADJ
iajs-2554	4	38	channel	channel	NOUN
iajs-2554	4	39	with	with	ADP
iajs-2554	4	40	variable	variable	ADJ
iajs-2554	4	41	viscosity	viscosity	NOUN
iajs-2554	4	42	.	.	PUNCT
iajs-2554	5	1	taking	take	VERB
iajs-2554	5	2	into	into	ADP
iajs-2554	5	3	consideration	consideration	NOUN
iajs-2554	5	4	hall	hall	NOUN
iajs-2554	5	5	current	current	ADJ
iajs-2554	5	6	,	,	PUNCT
iajs-2554	5	7	velocity	velocity	NOUN
iajs-2554	5	8	,	,	PUNCT
iajs-2554	5	9	thermal	thermal	ADJ
iajs-2554	5	10	slip	slip	NOUN
iajs-2554	5	11	conditions	condition	NOUN
iajs-2554	5	12	,	,	PUNCT
iajs-2554	5	13	energy	energy	NOUN
iajs-2554	5	14	equation	equation	NOUN
iajs-2554	5	15	is	be	AUX
iajs-2554	5	16	modeled	model	VERB
iajs-2554	5	17	by	by	ADP
iajs-2554	5	18	taking	take	VERB
iajs-2554	5	19	joule	joule	NOUN
iajs-2554	5	20	heating	heating	NOUN
iajs-2554	5	21	effect	effect	NOUN
iajs-2554	5	22	into	into	ADP
iajs-2554	5	23	consideration	consideration	NOUN
iajs-2554	5	24	and	and	CCONJ
iajs-2554	5	25	by	by	ADP
iajs-2554	5	26	holding	hold	VERB
iajs-2554	5	27	assumption	assumption	NOUN
iajs-2554	5	28	of	of	ADP
iajs-2554	5	29	long	long	ADJ
iajs-2554	5	30	wavelength	wavelength	NOUN
iajs-2554	5	31	and	and	CCONJ
iajs-2554	5	32	low	low	ADJ
iajs-2554	5	33	reynolds	reynold	NOUN
iajs-2554	5	34	number	number	NOUN
iajs-2554	5	35	approximation	approximation	NOUN
iajs-2554	5	36	,	,	PUNCT
iajs-2554	5	37	these	these	DET
iajs-2554	5	38	equations	equation	NOUN
iajs-2554	5	39	are	be	AUX
iajs-2554	5	40	simplified	simplify	VERB
iajs-2554	5	41	into	into	ADP
iajs-2554	5	42	a	a	DET
iajs-2554	5	43	couple	couple	NOUN
iajs-2554	5	44	of	of	ADP
iajs-2554	5	45	non	non	ADJ
iajs-2554	5	46	-	-	ADJ
iajs-2554	5	47	linear	linear	ADJ
iajs-2554	5	48	ordinary	ordinary	ADJ
iajs-2554	5	49	differential	differential	ADJ
iajs-2554	5	50	equations	equation	NOUN
iajs-2554	5	51	that	that	PRON
iajs-2554	5	52	are	be	AUX
iajs-2554	5	53	solved	solve	VERB
iajs-2554	5	54	by	by	ADP
iajs-2554	5	55	using	use	VERB
iajs-2554	5	56	perturbation	perturbation	NOUN
iajs-2554	5	57	technique	technique	NOUN
iajs-2554	5	58	.	.	PUNCT
iajs-2554	6	1	graphical	graphical	ADJ
iajs-2554	6	2	analysis	analysis	NOUN
iajs-2554	6	3	has	have	AUX
iajs-2554	6	4	been	be	AUX
iajs-2554	6	5	involved	involve	VERB
iajs-2554	6	6	for	for	ADP
iajs-2554	6	7	various	various	ADJ
iajs-2554	6	8	flow	flow	NOUN
iajs-2554	6	9	parameters	parameter	NOUN
iajs-2554	6	10	emerging	emerge	VERB
iajs-2554	6	11	in	in	ADP
iajs-2554	6	12	the	the	DET
iajs-2554	6	13	problem	problem	NOUN
iajs-2554	6	14	.	.	PUNCT
iajs-2554	7	1	we	we	PRON
iajs-2554	7	2	observed	observe	VERB
iajs-2554	7	3	two	two	NUM
iajs-2554	7	4	opposite	opposite	ADJ
iajs-2554	7	5	behaviors	behavior	NOUN
iajs-2554	7	6	for	for	ADP
iajs-2554	7	7	hall	hall	NOUN
iajs-2554	7	8	parameter	parameter	NOUN
iajs-2554	7	9	and	and	CCONJ
iajs-2554	7	10	hartman	hartman	PROPN
iajs-2554	7	11	number	number	NOUN
iajs-2554	7	12	on	on	ADP
iajs-2554	7	13	velocity	velocity	NOUN
iajs-2554	7	14	axial	axial	ADJ
iajs-2554	7	15	and	and	CCONJ
iajs-2554	7	16	temperature	temperature	NOUN
iajs-2554	7	17	curves	curve	NOUN
iajs-2554	7	18	.	.	PUNCT
iajs-2554	8	1	keywords	keyword	NOUN
iajs-2554	8	2	:	:	PUNCT
iajs-2554	8	3	heat	heat	NOUN
iajs-2554	8	4	transfer	transfer	NOUN
iajs-2554	8	5	,	,	PUNCT
iajs-2554	8	6	hall	hall	NOUN
iajs-2554	8	7	effect	effect	NOUN
iajs-2554	8	8	,	,	PUNCT
iajs-2554	8	9	joule	joule	PROPN
iajs-2554	8	10	's	's	PART
iajs-2554	8	11	heating	heating	NOUN
iajs-2554	8	12	,	,	PUNCT
iajs-2554	8	13	bingham	bingham	PROPN
iajs-2554	8	14	plastic	plastic	NOUN
iajs-2554	8	15	fluid	fluid	NOUN
iajs-2554	8	16	,	,	PUNCT
iajs-2554	8	17	tapered	tapered	ADJ
iajs-2554	8	18	channel	channel	NOUN
iajs-2554	8	19	.	.	PUNCT
iajs-2554	9	1	1	1	X
iajs-2554	9	2	.	.	X
iajs-2554	9	3	introduction	introduction	NOUN
iajs-2554	9	4	peristaltic	peristaltic	ADJ
iajs-2554	9	5	transport	transport	NOUN
iajs-2554	9	6	is	be	AUX
iajs-2554	9	7	a	a	DET
iajs-2554	9	8	successive	successive	ADJ
iajs-2554	9	9	sinusoidal	sinusoidal	NOUN
iajs-2554	9	10	waves	wave	NOUN
iajs-2554	9	11	movement	movement	NOUN
iajs-2554	9	12	of	of	ADP
iajs-2554	9	13	fluids	fluid	NOUN
iajs-2554	9	14	along	along	ADP
iajs-2554	9	15	a	a	DET
iajs-2554	9	16	flexible	flexible	ADJ
iajs-2554	9	17	channel	channel	NOUN
iajs-2554	9	18	walls	wall	NOUN
iajs-2554	9	19	.	.	PUNCT
iajs-2554	10	1	it	it	PRON
iajs-2554	10	2	is	be	AUX
iajs-2554	10	3	naturally	naturally	ADV
iajs-2554	10	4	found	find	VERB
iajs-2554	10	5	in	in	ADP
iajs-2554	10	6	human	human	ADJ
iajs-2554	10	7	living	living	NOUN
iajs-2554	10	8	body	body	NOUN
iajs-2554	10	9	such	such	ADJ
iajs-2554	10	10	as	as	ADP
iajs-2554	10	11	urine	urine	NOUN
iajs-2554	10	12	movement	movement	NOUN
iajs-2554	10	13	from	from	ADP
iajs-2554	10	14	kidney	kidney	NOUN
iajs-2554	10	15	to	to	ADP
iajs-2554	10	16	bladder	bladder	NOUN
iajs-2554	10	17	,	,	PUNCT
iajs-2554	10	18	food	food	NOUN
iajs-2554	10	19	swallowing	swallowing	NOUN
iajs-2554	10	20	process	process	NOUN
iajs-2554	10	21	and	and	CCONJ
iajs-2554	10	22	blood	blood	NOUN
iajs-2554	10	23	flow	flow	NOUN
iajs-2554	10	24	in	in	ADP
iajs-2554	10	25	the	the	DET
iajs-2554	10	26	small	small	ADJ
iajs-2554	10	27	vessels	vessel	NOUN
iajs-2554	10	28	[	[	X
iajs-2554	10	29	13	13	NUM
iajs-2554	10	30	]	]	PUNCT
iajs-2554	10	31	.	.	PUNCT
iajs-2554	11	1	moreover	moreover	ADV
iajs-2554	11	2	,	,	PUNCT
iajs-2554	11	3	the	the	DET
iajs-2554	11	4	peristaltic	peristaltic	ADJ
iajs-2554	11	5	transport	transport	NOUN
iajs-2554	11	6	of	of	ADP
iajs-2554	11	7	nonnewtonian	nonnewtonian	ADJ
iajs-2554	11	8	fluid	fluid	NOUN
iajs-2554	11	9	gained	gain	VERB
iajs-2554	11	10	much	much	ADJ
iajs-2554	11	11	attention	attention	NOUN
iajs-2554	11	12	in	in	ADP
iajs-2554	11	13	various	various	ADJ
iajs-2554	11	14	modern	modern	ADJ
iajs-2554	11	15	industrial	industrial	ADJ
iajs-2554	11	16	and	and	CCONJ
iajs-2554	11	17	biomedical	biomedical	ADJ
iajs-2554	11	18	phenomena	phenomenon	NOUN
iajs-2554	11	19	like	like	ADP
iajs-2554	11	20	polymer	polymer	NOUN
iajs-2554	11	21	industry	industry	NOUN
iajs-2554	11	22	and	and	CCONJ
iajs-2554	11	23	artificial	artificial	ADJ
iajs-2554	11	24	hearts	heart	NOUN
iajs-2554	11	25	that	that	PRON
iajs-2554	11	26	their	their	PRON
iajs-2554	11	27	devices	device	NOUN
iajs-2554	11	28	designed	design	VERB
iajs-2554	11	29	in	in	ADP
iajs-2554	11	30	a	a	DET
iajs-2554	11	31	manner	manner	NOUN
iajs-2554	11	32	where	where	SCONJ
iajs-2554	11	33	the	the	DET
iajs-2554	11	34	fluid	fluid	NOUN
iajs-2554	11	35	flows	flow	VERB
iajs-2554	11	36	without	without	ADP
iajs-2554	11	37	internal	internal	ADJ
iajs-2554	11	38	moving	move	VERB
iajs-2554	11	39	parts	part	NOUN
iajs-2554	11	40	[	[	X
iajs-2554	11	41	4	4	NUM
iajs-2554	11	42	-	-	SYM
iajs-2554	11	43	6	6	NUM
iajs-2554	11	44	]	]	PUNCT
iajs-2554	11	45	.	.	PUNCT
iajs-2554	12	1	inspired	inspire	VERB
iajs-2554	12	2	by	by	ADP
iajs-2554	12	3	this	this	DET
iajs-2554	12	4	fact	fact	NOUN
iajs-2554	12	5	and	and	CCONJ
iajs-2554	12	6	since	since	SCONJ
iajs-2554	12	7	the	the	DET
iajs-2554	12	8	modern	modern	ADJ
iajs-2554	12	9	industrial	industrial	ADJ
iajs-2554	12	10	fluids	fluid	NOUN
iajs-2554	12	11	are	be	AUX
iajs-2554	12	12	characterized	characterize	VERB
iajs-2554	12	13	by	by	ADP
iajs-2554	12	14	their	their	PRON
iajs-2554	12	15	variable	variable	ADJ
iajs-2554	12	16	viscosity	viscosity	NOUN
iajs-2554	12	17	,	,	PUNCT
iajs-2554	12	18	a	a	DET
iajs-2554	12	19	few	few	ADJ
iajs-2554	12	20	researchers	researcher	NOUN
iajs-2554	12	21	indicate	indicate	VERB
iajs-2554	12	22	studies	study	NOUN
iajs-2554	12	23	regarding	regard	VERB
iajs-2554	12	24	the	the	DET
iajs-2554	12	25	peristaltic	peristaltic	ADJ
iajs-2554	12	26	transport	transport	NOUN
iajs-2554	12	27	of	of	ADP
iajs-2554	12	28	fluids	fluid	NOUN
iajs-2554	12	29	having	have	VERB
iajs-2554	12	30	variable	variable	ADJ
iajs-2554	12	31	viscosity	viscosity	NOUN
iajs-2554	12	32	.	.	PUNCT
iajs-2554	13	1	adnan	adnan	PROPN
iajs-2554	13	2	and	and	CCONJ
iajs-2554	13	3	abdulhadi	abdulhadi	NOUN
iajs-2554	14	1	[	[	X
iajs-2554	14	2	7	7	NUM
iajs-2554	14	3	]	]	PUNCT
iajs-2554	14	4	analyzed	analyze	VERB
iajs-2554	14	5	the	the	DET
iajs-2554	14	6	effect	effect	NOUN
iajs-2554	14	7	of	of	ADP
iajs-2554	14	8	an	an	DET
iajs-2554	14	9	inclined	inclined	ADJ
iajs-2554	14	10	magnetic	magnetic	ADJ
iajs-2554	14	11	field	field	NOUN
iajs-2554	14	12	on	on	ADP
iajs-2554	14	13	peristaltic	peristaltic	ADJ
iajs-2554	14	14	flow	flow	NOUN
iajs-2554	14	15	of	of	ADP
iajs-2554	14	16	bingham	bingham	PROPN
iajs-2554	14	17	plastic	plastic	NOUN
iajs-2554	14	18	fluid	fluid	NOUN
iajs-2554	14	19	in	in	ADP
iajs-2554	14	20	an	an	DET
iajs-2554	14	21	inclined	inclined	ADJ
iajs-2554	14	22	symmetric	symmetric	ADJ
iajs-2554	14	23	channel	channel	NOUN
iajs-2554	14	24	with	with	ADP
iajs-2554	14	25	slip	slip	NOUN
iajs-2554	14	26	conditions	condition	NOUN
iajs-2554	14	27	.	.	PUNCT
iajs-2554	15	1	in	in	ADP
iajs-2554	15	2	the	the	DET
iajs-2554	15	3	same	same	ADJ
iajs-2554	15	4	year	year	NOUN
iajs-2554	15	5	adnan	adnan	PROPN
iajs-2554	15	6	and	and	CCONJ
iajs-2554	15	7	abdulhadi	abdulhadi	NOUN
iajs-2554	15	8	[	[	X
iajs-2554	15	9	8	8	NUM
iajs-2554	15	10	]	]	PUNCT
iajs-2554	15	11	investigated	investigate	VERB
iajs-2554	15	12	the	the	DET
iajs-2554	15	13	peristaltic	peristaltic	ADJ
iajs-2554	15	14	flow	flow	NOUN
iajs-2554	15	15	of	of	ADP
iajs-2554	15	16	the	the	DET
iajs-2554	15	17	ibn	ibn	PROPN
iajs-2554	15	18	al	al	PROPN
iajs-2554	15	19	haitham	haitham	PROPN
iajs-2554	15	20	journal	journal	PROPN
iajs-2554	15	21	for	for	ADP
iajs-2554	15	22	pure	pure	ADJ
iajs-2554	15	23	and	and	CCONJ
iajs-2554	15	24	applied	apply	VERB
iajs-2554	15	25	science	science	NOUN
iajs-2554	15	26	journal	journal	PROPN
iajs-2554	15	27	homepage	homepage	NOUN
iajs-2554	15	28	:	:	PUNCT
iajs-2554	15	29	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2554	15	30	doi	doi	NOUN
iajs-2554	15	31	:	:	PUNCT
iajs-2554	15	32	10.30526/34.1.2554	10.30526/34.1.2554	NUM
iajs-2554	15	33	article	article	NOUN
iajs-2554	15	34	history	history	NOUN
iajs-2554	15	35	:	:	PUNCT
iajs-2554	15	36	received	receive	VERB
iajs-2554	15	37	20	20	NUM
iajs-2554	15	38	,	,	PUNCT
iajs-2554	15	39	january	january	PROPN
iajs-2554	15	40	,	,	PUNCT
iajs-2554	15	41	2020	2020	NUM
iajs-2554	15	42	,	,	PUNCT
iajs-2554	15	43	accepted	accept	VERB
iajs-2554	15	44	26	26	NUM
iajs-2554	15	45	,	,	PUNCT
iajs-2554	15	46	february	february	PROPN
iajs-2554	15	47	,	,	PUNCT
iajs-2554	15	48	2020	2020	NUM
iajs-2554	15	49	,	,	PUNCT
iajs-2554	15	50	published	publish	VERB
iajs-2554	15	51	in	in	ADP
iajs-2554	15	52	january	january	PROPN
iajs-2554	15	53	2021	2021	NUM
iajs-2554	15	54	mailto:rashamath80@yahoo.com	mailto:rashamath80@yahoo.com	PROPN
iajs-2554	15	55	mailto:100048@uotechnology.edu.iq	mailto:100048@uotechnology.edu.iq	PROPN
iajs-2554	15	56	mailto:100048@uotechnology.edu.iq	mailto:100048@uotechnology.edu.iq	PROPN
iajs-2554	15	57	69	69	NUM
iajs-2554	15	58	ibn	ibn	PROPN
iajs-2554	15	59	al	al	PROPN
iajs-2554	15	60	-	-	PUNCT
iajs-2554	15	61	haitham	haitham	PROPN
iajs-2554	15	62	jour	jour	X
iajs-2554	15	63	.	.	PROPN
iajs-2554	16	1	for	for	ADP
iajs-2554	16	2	pure	pure	ADJ
iajs-2554	16	3	&	&	CCONJ
iajs-2554	16	4	appl	appl	PROPN
iajs-2554	16	5	.	.	PUNCT
iajs-2554	17	1	sci	sci	PROPN
iajs-2554	17	2	.	.	PROPN
iajs-2554	18	1	34	34	NUM
iajs-2554	18	2	(	(	PUNCT
iajs-2554	18	3	1	1	NUM
iajs-2554	18	4	)	)	PUNCT
iajs-2554	18	5	2021	2021	NUM
iajs-2554	18	6	bingham	bingham	PROPN
iajs-2554	18	7	plastic	plastic	NOUN
iajs-2554	18	8	fluid	fluid	NOUN
iajs-2554	18	9	in	in	ADP
iajs-2554	18	10	a	a	DET
iajs-2554	18	11	curved	curved	ADJ
iajs-2554	18	12	channel	channel	NOUN
iajs-2554	18	13	.	.	PUNCT
iajs-2554	19	1	hayat	hayat	PROPN
iajs-2554	19	2	et	et	PROPN
iajs-2554	19	3	al	al	PROPN
iajs-2554	19	4	.	.	PUNCT
iajs-2554	20	1	[	[	X
iajs-2554	20	2	9	9	NUM
iajs-2554	20	3	]	]	PUNCT
iajs-2554	20	4	studied	study	VERB
iajs-2554	20	5	the	the	DET
iajs-2554	20	6	effect	effect	NOUN
iajs-2554	20	7	of	of	ADP
iajs-2554	20	8	soret	soret	NOUN
iajs-2554	20	9	and	and	CCONJ
iajs-2554	20	10	dufour	dufour	PROPN
iajs-2554	20	11	on	on	ADP
iajs-2554	20	12	the	the	DET
iajs-2554	20	13	peristaltic	peristaltic	ADJ
iajs-2554	20	14	transport	transport	NOUN
iajs-2554	20	15	of	of	ADP
iajs-2554	20	16	bingham	bingham	PROPN
iajs-2554	20	17	plastic	plastic	NOUN
iajs-2554	20	18	fluid	fluid	NOUN
iajs-2554	20	19	considering	consider	VERB
iajs-2554	20	20	magnetic	magnetic	ADJ
iajs-2554	20	21	field	field	NOUN
iajs-2554	20	22	.	.	PUNCT
iajs-2554	21	1	while	while	SCONJ
iajs-2554	21	2	lakshminarayana	lakshminarayana	PROPN
iajs-2554	21	3	et	et	PROPN
iajs-2554	21	4	al	al	PROPN
iajs-2554	21	5	.	.	PUNCT
iajs-2554	22	1	[	[	X
iajs-2554	22	2	10	10	NUM
iajs-2554	22	3	]	]	PUNCT
iajs-2554	22	4	investigated	investigate	VERB
iajs-2554	22	5	the	the	DET
iajs-2554	22	6	heat	heat	NOUN
iajs-2554	22	7	transfer	transfer	NOUN
iajs-2554	22	8	and	and	CCONJ
iajs-2554	22	9	the	the	DET
iajs-2554	22	10	effect	effect	NOUN
iajs-2554	22	11	of	of	ADP
iajs-2554	22	12	slip	slip	NOUN
iajs-2554	22	13	condition	condition	NOUN
iajs-2554	22	14	and	and	CCONJ
iajs-2554	22	15	wall	wall	NOUN
iajs-2554	22	16	properties	property	NOUN
iajs-2554	22	17	on	on	ADP
iajs-2554	22	18	the	the	DET
iajs-2554	22	19	peristaltic	peristaltic	ADJ
iajs-2554	22	20	transport	transport	NOUN
iajs-2554	22	21	of	of	ADP
iajs-2554	22	22	bingham	bingham	PROPN
iajs-2554	22	23	fluid	fluid	PROPN
iajs-2554	22	24	.	.	PUNCT
iajs-2554	23	1	ara	ara	PROPN
iajs-2554	23	2	et	et	PROPN
iajs-2554	23	3	al	al	PROPN
iajs-2554	23	4	.	.	PUNCT
iajs-2554	24	1	[	[	X
iajs-2554	24	2	11	11	NUM
iajs-2554	24	3	]	]	PUNCT
iajs-2554	24	4	explored	explore	VERB
iajs-2554	24	5	the	the	DET
iajs-2554	24	6	jefferyhamel	jefferyhamel	NOUN
iajs-2554	24	7	flow	flow	NOUN
iajs-2554	24	8	of	of	ADP
iajs-2554	24	9	bingham	bingham	PROPN
iajs-2554	24	10	plastic	plastic	NOUN
iajs-2554	24	11	fluid	fluid	NOUN
iajs-2554	24	12	in	in	ADP
iajs-2554	24	13	converging	converge	VERB
iajs-2554	24	14	channel	channel	NOUN
iajs-2554	24	15	in	in	ADP
iajs-2554	24	16	the	the	DET
iajs-2554	24	17	presence	presence	NOUN
iajs-2554	24	18	of	of	ADP
iajs-2554	24	19	external	external	ADJ
iajs-2554	24	20	magnetic	magnetic	ADJ
iajs-2554	24	21	field	field	NOUN
iajs-2554	24	22	.	.	PUNCT
iajs-2554	25	1	however	however	ADV
iajs-2554	25	2	,	,	PUNCT
iajs-2554	25	3	salih	salih	PROPN
iajs-2554	26	1	[	[	X
iajs-2554	26	2	12	12	NUM
iajs-2554	26	3	]	]	PUNCT
iajs-2554	26	4	illustrated	illustrate	VERB
iajs-2554	26	5	the	the	DET
iajs-2554	26	6	influence	influence	NOUN
iajs-2554	26	7	of	of	ADP
iajs-2554	26	8	varying	vary	VERB
iajs-2554	26	9	temperature	temperature	NOUN
iajs-2554	26	10	and	and	CCONJ
iajs-2554	26	11	concentration	concentration	NOUN
iajs-2554	26	12	on	on	ADP
iajs-2554	26	13	(	(	PUNCT
iajs-2554	26	14	mhd	mhd	NOUN
iajs-2554	26	15	)	)	PUNCT
iajs-2554	26	16	peristaltic	peristaltic	ADJ
iajs-2554	26	17	transport	transport	NOUN
iajs-2554	26	18	of	of	ADP
iajs-2554	26	19	jeffery	jeffery	PROPN
iajs-2554	26	20	fluid	fluid	NOUN
iajs-2554	26	21	with	with	ADP
iajs-2554	26	22	variable	variable	ADJ
iajs-2554	26	23	viscosity	viscosity	NOUN
iajs-2554	26	24	through	through	ADP
iajs-2554	26	25	porous	porous	ADJ
iajs-2554	26	26	channel	channel	NOUN
iajs-2554	26	27	.	.	PUNCT
iajs-2554	27	1	for	for	ADP
iajs-2554	27	2	more	more	ADJ
iajs-2554	27	3	information	information	NOUN
iajs-2554	27	4	see	see	VERB
iajs-2554	27	5	[	[	X
iajs-2554	27	6	7,13	7,13	NOUN
iajs-2554	27	7	]	]	PUNCT
iajs-2554	27	8	.	.	PUNCT
iajs-2554	28	1	in	in	ADP
iajs-2554	28	2	this	this	DET
iajs-2554	28	3	paper	paper	NOUN
iajs-2554	28	4	,	,	PUNCT
iajs-2554	28	5	the	the	DET
iajs-2554	28	6	influence	influence	NOUN
iajs-2554	28	7	of	of	ADP
iajs-2554	28	8	hall	hall	NOUN
iajs-2554	28	9	and	and	CCONJ
iajs-2554	28	10	joule	joule	PROPN
iajs-2554	28	11	's	's	PART
iajs-2554	28	12	heating	heating	NOUN
iajs-2554	28	13	on	on	ADP
iajs-2554	28	14	the	the	DET
iajs-2554	28	15	peristaltic	peristaltic	ADJ
iajs-2554	28	16	flow	flow	NOUN
iajs-2554	28	17	of	of	ADP
iajs-2554	28	18	bingham	bingham	PROPN
iajs-2554	28	19	plastic	plastic	NOUN
iajs-2554	28	20	fluid	fluid	NOUN
iajs-2554	28	21	passing	pass	VERB
iajs-2554	28	22	through	through	ADP
iajs-2554	28	23	an	an	DET
iajs-2554	28	24	inclined	inclined	ADJ
iajs-2554	28	25	tapered	tapered	ADJ
iajs-2554	28	26	asymmetric	asymmetric	ADJ
iajs-2554	28	27	channel	channel	NOUN
iajs-2554	28	28	with	with	ADP
iajs-2554	28	29	variable	variable	ADJ
iajs-2554	28	30	viscosity	viscosity	NOUN
iajs-2554	28	31	is	be	AUX
iajs-2554	28	32	studied	study	VERB
iajs-2554	28	33	.	.	PUNCT
iajs-2554	29	1	a	a	DET
iajs-2554	29	2	long	long	ADJ
iajs-2554	29	3	wave	wave	NOUN
iajs-2554	29	4	number	number	NOUN
iajs-2554	29	5	and	and	CCONJ
iajs-2554	29	6	low	low	ADJ
iajs-2554	29	7	reynolds	reynold	NOUN
iajs-2554	29	8	number	number	NOUN
iajs-2554	29	9	are	be	AUX
iajs-2554	29	10	taken	take	VERB
iajs-2554	29	11	into	into	ADP
iajs-2554	29	12	consideration	consideration	NOUN
iajs-2554	29	13	to	to	PART
iajs-2554	29	14	simplify	simplify	VERB
iajs-2554	29	15	the	the	DET
iajs-2554	29	16	problem	problem	NOUN
iajs-2554	29	17	.	.	PUNCT
iajs-2554	30	1	perturbation	perturbation	NOUN
iajs-2554	30	2	technique	technique	NOUN
iajs-2554	30	3	is	be	AUX
iajs-2554	30	4	used	use	VERB
iajs-2554	30	5	to	to	PART
iajs-2554	30	6	solve	solve	VERB
iajs-2554	30	7	and	and	CCONJ
iajs-2554	30	8	find	find	VERB
iajs-2554	30	9	the	the	DET
iajs-2554	30	10	last	last	ADJ
iajs-2554	30	11	shape	shape	NOUN
iajs-2554	30	12	of	of	ADP
iajs-2554	30	13	stream	stream	NOUN
iajs-2554	30	14	function	function	NOUN
iajs-2554	30	15	.	.	PUNCT
iajs-2554	31	1	finally	finally	ADV
iajs-2554	31	2	,	,	PUNCT
iajs-2554	31	3	the	the	DET
iajs-2554	31	4	effects	effect	NOUN
iajs-2554	31	5	of	of	ADP
iajs-2554	31	6	various	various	ADJ
iajs-2554	31	7	parameters	parameter	NOUN
iajs-2554	31	8	on	on	ADP
iajs-2554	31	9	axial	axial	ADJ
iajs-2554	31	10	velocity	velocity	NOUN
iajs-2554	31	11	,	,	PUNCT
iajs-2554	31	12	temperature	temperature	NOUN
iajs-2554	31	13	,	,	PUNCT
iajs-2554	31	14	stream	stream	NOUN
iajs-2554	31	15	function	function	NOUN
iajs-2554	31	16	and	and	CCONJ
iajs-2554	31	17	heat	heat	NOUN
iajs-2554	31	18	transfer	transfer	NOUN
iajs-2554	31	19	coefficients	coefficient	NOUN
iajs-2554	31	20	are	be	AUX
iajs-2554	31	21	discussed	discuss	VERB
iajs-2554	31	22	graphically	graphically	ADV
iajs-2554	31	23	.	.	PUNCT
iajs-2554	32	1	2	2	X
iajs-2554	32	2	.	.	X
iajs-2554	32	3	mathematical	mathematical	ADJ
iajs-2554	32	4	modeling	modeling	NOUN
iajs-2554	32	5	the	the	DET
iajs-2554	32	6	peristaltic	peristaltic	ADJ
iajs-2554	32	7	transport	transport	NOUN
iajs-2554	32	8	of	of	ADP
iajs-2554	32	9	an	an	DET
iajs-2554	32	10	incompressible	incompressible	ADJ
iajs-2554	32	11	bingham	bingham	PROPN
iajs-2554	32	12	plastic	plastic	NOUN
iajs-2554	32	13	fluid	fluid	NOUN
iajs-2554	32	14	in	in	ADP
iajs-2554	32	15	a	a	DET
iajs-2554	32	16	tapered	tapered	ADJ
iajs-2554	32	17	inclined	inclined	ADJ
iajs-2554	32	18	channel	channel	NOUN
iajs-2554	32	19	at	at	ADP
iajs-2554	32	20	an	an	DET
iajs-2554	32	21	angle	angle	NOUN
iajs-2554	32	22	𝛼	𝛼	ADP
iajs-2554	32	23	which	which	PRON
iajs-2554	32	24	is	be	AUX
iajs-2554	32	25	an	an	DET
iajs-2554	32	26	asymmetric	asymmetric	ADJ
iajs-2554	32	27	channel	channel	NOUN
iajs-2554	32	28	with	with	ADP
iajs-2554	32	29	a	a	DET
iajs-2554	32	30	total	total	ADJ
iajs-2554	32	31	width(2𝑑	width(2𝑑	NOUN
iajs-2554	32	32	)	)	PUNCT
iajs-2554	32	33	is	be	AUX
iajs-2554	32	34	considered	consider	VERB
iajs-2554	32	35	.	.	PUNCT
iajs-2554	33	1	characterizing	characterize	VERB
iajs-2554	33	2	the	the	DET
iajs-2554	33	3	flow	flow	NOUN
iajs-2554	33	4	by	by	ADP
iajs-2554	33	5	the	the	DET
iajs-2554	33	6	existence	existence	NOUN
iajs-2554	33	7	of	of	ADP
iajs-2554	33	8	a	a	DET
iajs-2554	33	9	strong	strong	ADJ
iajs-2554	33	10	transverse	transverse	NOUN
iajs-2554	33	11	magnetic	magnetic	ADJ
iajs-2554	33	12	field	field	NOUN
iajs-2554	33	13	𝐵	𝐵	NOUN
iajs-2554	33	14	=	=	SYM
iajs-2554	33	15	(	(	PUNCT
iajs-2554	33	16	0	0	NUM
iajs-2554	33	17	,	,	PUNCT
iajs-2554	33	18	0	0	NUM
iajs-2554	33	19	,	,	PUNCT
iajs-2554	33	20	𝛽0	𝛽0	NOUN
iajs-2554	33	21	)	)	PUNCT
iajs-2554	33	22	.	.	PUNCT
iajs-2554	34	1	a	a	DET
iajs-2554	34	2	magnetic	magnetic	ADJ
iajs-2554	34	3	reynolds	reynold	NOUN
iajs-2554	34	4	number	number	NOUN
iajs-2554	34	5	is	be	AUX
iajs-2554	34	6	taken	take	VERB
iajs-2554	34	7	small	small	ADJ
iajs-2554	34	8	and	and	CCONJ
iajs-2554	34	9	the	the	DET
iajs-2554	34	10	induced	induced	ADJ
iajs-2554	34	11	magnetic	magnetic	ADJ
iajs-2554	34	12	field	field	NOUN
iajs-2554	34	13	is	be	AUX
iajs-2554	34	14	prescribed	prescribe	VERB
iajs-2554	34	15	neglected	neglect	VERB
iajs-2554	34	16	.	.	PUNCT
iajs-2554	35	1	the	the	DET
iajs-2554	35	2	flow	flow	NOUN
iajs-2554	35	3	is	be	AUX
iajs-2554	35	4	achieved	achieve	VERB
iajs-2554	35	5	by	by	ADP
iajs-2554	35	6	the	the	DET
iajs-2554	35	7	peristaltic	peristaltic	ADJ
iajs-2554	35	8	waves	wave	NOUN
iajs-2554	35	9	of	of	ADP
iajs-2554	35	10	length	length	NOUN
iajs-2554	35	11	𝜆	𝜆	NOUN
iajs-2554	35	12	with	with	ADP
iajs-2554	35	13	different	different	ADJ
iajs-2554	35	14	amplitude	amplitude	NOUN
iajs-2554	35	15	and	and	CCONJ
iajs-2554	35	16	phases	phase	NOUN
iajs-2554	35	17	moving	move	VERB
iajs-2554	35	18	with	with	ADP
iajs-2554	35	19	a	a	DET
iajs-2554	35	20	constant	constant	ADJ
iajs-2554	35	21	speed	speed	NOUN
iajs-2554	35	22	𝑐	𝑐	NOUN
iajs-2554	35	23	along	along	ADP
iajs-2554	35	24	the	the	DET
iajs-2554	35	25	channels	channel	NOUN
iajs-2554	35	26	walls	wall	NOUN
iajs-2554	35	27	.	.	PUNCT
iajs-2554	36	1	the	the	DET
iajs-2554	36	2	geometry	geometry	NOUN
iajs-2554	36	3	of	of	ADP
iajs-2554	36	4	the	the	DET
iajs-2554	36	5	walls	wall	NOUN
iajs-2554	36	6	surfaces	surface	NOUN
iajs-2554	36	7	is	be	AUX
iajs-2554	36	8	described	describe	VERB
iajs-2554	36	9	by	by	ADP
iajs-2554	36	10	𝑌1	𝑌1	PROPN
iajs-2554	36	11	=	=	SYM
iajs-2554	36	12	𝐻1(	𝐻1(	NOUN
iajs-2554	36	13	�	�	NOUN
iajs-2554	36	14	̅	̅	NOUN
iajs-2554	36	15	�	�	NOUN
iajs-2554	36	16	,	,	PUNCT
iajs-2554	36	17	𝑡	𝑡	PROPN
iajs-2554	36	18	)	)	PUNCT
iajs-2554	36	19	=	=	SYM
iajs-2554	37	1	𝑑	𝑑	PROPN
iajs-2554	37	2	+	+	NUM
iajs-2554	37	3	𝑚1	𝑚1	NOUN
iajs-2554	37	4	�	�	PROPN
iajs-2554	37	5	̅	̅	NOUN
iajs-2554	37	6	�	�	NOUN
iajs-2554	37	7	+	+	CCONJ
iajs-2554	37	8	𝑎1𝐶𝑜𝑠	𝑎1𝐶𝑜𝑠	PROPN
iajs-2554	37	9	(	(	PUNCT
iajs-2554	37	10	2𝜋(	2𝜋(	NUM
iajs-2554	37	11	�	�	NOUN
iajs-2554	37	12	̅	̅	NOUN
iajs-2554	37	13	�	�	NOUN
iajs-2554	37	14	−𝑐𝑡	−𝑐𝑡	NOUN
iajs-2554	37	15	)	)	PUNCT
iajs-2554	37	16	𝜆	𝜆	X
iajs-2554	37	17	)	)	PUNCT
iajs-2554	37	18	(	(	PUNCT
iajs-2554	37	19	1	1	X
iajs-2554	37	20	)	)	PUNCT
iajs-2554	37	21	𝑌2	𝑌2	NOUN
iajs-2554	37	22	=	=	SYM
iajs-2554	37	23	𝐻2(	𝐻2(	PROPN
iajs-2554	37	24	�	�	PROPN
iajs-2554	37	25	̅	̅	NOUN
iajs-2554	37	26	�	�	NOUN
iajs-2554	37	27	,	,	PUNCT
iajs-2554	37	28	𝑡	𝑡	PROPN
iajs-2554	37	29	)	)	PUNCT
iajs-2554	37	30	=	=	VERB
iajs-2554	38	1	−𝑑	−𝑑	VERB
iajs-2554	38	2	−	−	NUM
iajs-2554	38	3	𝑚1	𝑚1	PROPN
iajs-2554	38	4	�	�	PROPN
iajs-2554	38	5	̅	̅	NOUN
iajs-2554	38	6	�	�	PROPN
iajs-2554	38	7	−	−	PROPN
iajs-2554	38	8	𝑎2𝐶𝑜𝑠	𝑎2𝐶𝑜𝑠	X
iajs-2554	38	9	(	(	PUNCT
iajs-2554	38	10	2𝜋(	2𝜋(	NUM
iajs-2554	38	11	�	�	NOUN
iajs-2554	38	12	̅	̅	NOUN
iajs-2554	38	13	�	�	NOUN
iajs-2554	38	14	−	−	NOUN
iajs-2554	38	15	𝑐𝑡)/𝜆	𝑐𝑡)/𝜆	NOUN
iajs-2554	38	16	+	+	CCONJ
iajs-2554	38	17	ø	ø	X
iajs-2554	38	18	)	)	PUNCT
iajs-2554	38	19	(	(	PUNCT
iajs-2554	38	20	2	2	X
iajs-2554	38	21	)	)	PUNCT
iajs-2554	38	22	where	where	SCONJ
iajs-2554	38	23	𝑌1	𝑌1	NOUN
iajs-2554	38	24	,	,	PUNCT
iajs-2554	38	25	𝑌2	𝑌2	PROPN
iajs-2554	38	26	are	be	AUX
iajs-2554	38	27	the	the	DET
iajs-2554	38	28	upper	upper	ADJ
iajs-2554	38	29	and	and	CCONJ
iajs-2554	38	30	lower	low	ADJ
iajs-2554	38	31	wall	wall	NOUN
iajs-2554	38	32	respectively	respectively	ADV
iajs-2554	38	33	,	,	PUNCT
iajs-2554	38	34	𝑚1	𝑚1	PROPN
iajs-2554	38	35	is	be	AUX
iajs-2554	38	36	the	the	DET
iajs-2554	38	37	non	non	ADJ
iajs-2554	38	38	-	-	ADJ
iajs-2554	38	39	uniform	uniform	ADJ
iajs-2554	38	40	parameter	parameter	NOUN
iajs-2554	38	41	,	,	PUNCT
iajs-2554	38	42	𝑎1	𝑎1	PROPN
iajs-2554	38	43	,	,	PUNCT
iajs-2554	38	44	𝑎2	𝑎2	NOUN
iajs-2554	38	45	are	be	AUX
iajs-2554	38	46	the	the	DET
iajs-2554	38	47	wave	wave	NOUN
iajs-2554	38	48	amplitudes	amplitude	NOUN
iajs-2554	38	49	,	,	PUNCT
iajs-2554	38	50	𝑡	𝑡	PROPN
iajs-2554	38	51	is	be	AUX
iajs-2554	38	52	the	the	DET
iajs-2554	38	53	time	time	NOUN
iajs-2554	38	54	and	and	CCONJ
iajs-2554	38	55	(	(	PUNCT
iajs-2554	38	56	�	�	NOUN
iajs-2554	38	57	̅	̅	NOUN
iajs-2554	38	58	�	�	PROPN
iajs-2554	38	59	,	,	PUNCT
iajs-2554	38	60	�	�	PROPN
iajs-2554	38	61	̅	̅	NOUN
iajs-2554	38	62	�	�	NOUN
iajs-2554	38	63	)	)	PUNCT
iajs-2554	38	64	the	the	DET
iajs-2554	38	65	rectangular	rectangular	ADJ
iajs-2554	38	66	coordinates	coordinate	NOUN
iajs-2554	38	67	in	in	ADP
iajs-2554	38	68	a	a	DET
iajs-2554	38	69	fixed	fix	VERB
iajs-2554	38	70	frame	frame	NOUN
iajs-2554	38	71	.	.	PUNCT
iajs-2554	39	1	ø	ø	PROPN
iajs-2554	39	2	is	be	AUX
iajs-2554	39	3	the	the	DET
iajs-2554	39	4	phase	phase	NOUN
iajs-2554	39	5	different	different	ADJ
iajs-2554	39	6	and	and	CCONJ
iajs-2554	39	7	ø	ø	PROPN
iajs-2554	39	8	∈	∈	PROPN
iajs-2554	40	1	[	[	X
iajs-2554	40	2	0	0	NUM
iajs-2554	40	3	,	,	PUNCT
iajs-2554	40	4	𝜋	𝜋	NOUN
iajs-2554	40	5	]	]	X
iajs-2554	40	6	such	such	ADJ
iajs-2554	40	7	that	that	SCONJ
iajs-2554	40	8	when	when	SCONJ
iajs-2554	40	9	ø	ø	PROPN
iajs-2554	40	10	=	=	SYM
iajs-2554	40	11	0	0	NUM
iajs-2554	40	12	corresponds	correspond	NOUN
iajs-2554	40	13	to	to	ADP
iajs-2554	40	14	asymmetric	asymmetric	ADJ
iajs-2554	40	15	channel	channel	NOUN
iajs-2554	40	16	with	with	ADP
iajs-2554	40	17	waves	wave	NOUN
iajs-2554	40	18	out	out	ADP
iajs-2554	40	19	of	of	ADP
iajs-2554	40	20	phase	phase	NOUN
iajs-2554	40	21	,	,	PUNCT
iajs-2554	40	22	and	and	CCONJ
iajs-2554	40	23	when	when	SCONJ
iajs-2554	40	24	ø	ø	PROPN
iajs-2554	40	25	=	=	SYM
iajs-2554	40	26	𝜋	𝜋	PROPN
iajs-2554	40	27	,	,	PUNCT
iajs-2554	40	28	the	the	DET
iajs-2554	40	29	waves	wave	NOUN
iajs-2554	40	30	are	be	AUX
iajs-2554	40	31	in	in	ADP
iajs-2554	40	32	phase	phase	NOUN
iajs-2554	40	33	.	.	PUNCT
iajs-2554	41	1	further	far	ADV
iajs-2554	41	2	𝑎	𝑎	NOUN
iajs-2554	41	3	,	,	PUNCT
iajs-2554	41	4	𝑏	𝑏	NOUN
iajs-2554	41	5	,	,	PUNCT
iajs-2554	41	6	𝑑	𝑑	PROPN
iajs-2554	41	7	𝑎𝑛𝑑	𝑎𝑛𝑑	ADJ
iajs-2554	41	8	∅	∅	NOUN
iajs-2554	41	9	satisfy	satisfy	VERB
iajs-2554	41	10	the	the	DET
iajs-2554	41	11	necessary	necessary	ADJ
iajs-2554	41	12	condition	condition	NOUN
iajs-2554	41	13	𝑎2	𝑎2	NOUN
iajs-2554	41	14	+	+	CCONJ
iajs-2554	41	15	𝑏2	𝑏2	PROPN
iajs-2554	41	16	+	+	CCONJ
iajs-2554	41	17	2𝑎𝑏𝑑	2𝑎𝑏𝑑	NUM
iajs-2554	41	18	𝑐𝑜𝑠∅	𝑐𝑜𝑠∅	X
iajs-2554	41	19	≤	≤	NUM
iajs-2554	41	20	(	(	PUNCT
iajs-2554	41	21	2𝑑)2	2𝑑)2	NUM
iajs-2554	41	22	(	(	PUNCT
iajs-2554	41	23	3	3	NUM
iajs-2554	41	24	)	)	PUNCT
iajs-2554	41	25	by	by	ADP
iajs-2554	41	26	applying	apply	VERB
iajs-2554	41	27	the	the	DET
iajs-2554	41	28	generalized	generalize	VERB
iajs-2554	41	29	ohm	ohm	NOUN
iajs-2554	41	30	's	's	PART
iajs-2554	41	31	law	law	NOUN
iajs-2554	42	1	[	[	X
iajs-2554	42	2	2	2	NUM
iajs-2554	42	3	]	]	PUNCT
iajs-2554	42	4	,	,	PUNCT
iajs-2554	42	5	we	we	PRON
iajs-2554	42	6	include	include	VERB
iajs-2554	42	7	the	the	DET
iajs-2554	42	8	hall	hall	PROPN
iajs-2554	42	9	current	current	NOUN
iajs-2554	42	10	as	as	SCONJ
iajs-2554	42	11	follows	follow	VERB
iajs-2554	42	12	�	�	PROPN
iajs-2554	42	13	⃑	⃑	NOUN
iajs-2554	42	14	�	�	PROPN
iajs-2554	42	15	=	=	SYM
iajs-2554	42	16	𝐽	𝐽	PROPN
iajs-2554	42	17	×	×	PROPN
iajs-2554	42	18	�	�	PROPN
iajs-2554	42	19	⃑⃑	⃑⃑	PROPN
iajs-2554	42	20	�	�	PROPN
iajs-2554	42	21	(	(	PUNCT
iajs-2554	42	22	4	4	NUM
iajs-2554	42	23	)	)	PUNCT
iajs-2554	42	24	such	such	ADJ
iajs-2554	42	25	that	that	DET
iajs-2554	42	26	𝐽	𝐽	PROPN
iajs-2554	42	27	=	=	SYM
iajs-2554	42	28	𝜎[	𝜎[	PROPN
iajs-2554	42	29	�	�	PROPN
iajs-2554	42	30	⃑⃑	⃑⃑	PROPN
iajs-2554	42	31	�	�	PROPN
iajs-2554	42	32	×	×	PROPN
iajs-2554	42	33	�	�	PROPN
iajs-2554	42	34	⃑⃑	⃑⃑	NOUN
iajs-2554	42	35	�	�	NOUN
iajs-2554	42	36	−	−	NUM
iajs-2554	42	37	1	1	NUM
iajs-2554	42	38	𝑒𝑛	𝑒𝑛	NOUN
iajs-2554	42	39	(	(	PUNCT
iajs-2554	42	40	𝐽	𝐽	PROPN
iajs-2554	42	41	×	×	PROPN
iajs-2554	42	42	�	�	PROPN
iajs-2554	42	43	⃑⃑	⃑⃑	NOUN
iajs-2554	42	44	�	�	NOUN
iajs-2554	42	45	)	)	PUNCT
iajs-2554	42	46	]	]	PUNCT
iajs-2554	42	47	(	(	PUNCT
iajs-2554	42	48	5	5	X
iajs-2554	42	49	)	)	PUNCT
iajs-2554	42	50	70	70	NUM
iajs-2554	42	51	ibn	ibn	PROPN
iajs-2554	42	52	al	al	PROPN
iajs-2554	42	53	-	-	PUNCT
iajs-2554	42	54	haitham	haitham	PROPN
iajs-2554	42	55	jour	jour	X
iajs-2554	42	56	.	.	PROPN
iajs-2554	43	1	for	for	ADP
iajs-2554	43	2	pure	pure	ADJ
iajs-2554	43	3	&	&	CCONJ
iajs-2554	43	4	appl	appl	PROPN
iajs-2554	43	5	.	.	PUNCT
iajs-2554	44	1	sci	sci	PROPN
iajs-2554	44	2	.	.	PROPN
iajs-2554	45	1	34	34	NUM
iajs-2554	45	2	(	(	PUNCT
iajs-2554	45	3	1	1	NUM
iajs-2554	45	4	)	)	PUNCT
iajs-2554	45	5	2021	2021	NUM
iajs-2554	45	6	hence	hence	ADV
iajs-2554	45	7	,	,	PUNCT
iajs-2554	45	8	�	�	PROPN
iajs-2554	45	9	⃑	⃑	NOUN
iajs-2554	45	10	�	�	PROPN
iajs-2554	45	11	=	=	PUNCT
iajs-2554	45	12	(	(	PUNCT
iajs-2554	45	13	−𝜎𝛽0	−𝜎𝛽0	ADP
iajs-2554	45	14	2(𝑈−𝑚𝑉	2(𝑈−𝑚𝑉	NUM
iajs-2554	45	15	)	)	PUNCT
iajs-2554	45	16	1+𝑚2	1+𝑚2	NUM
iajs-2554	45	17	,	,	PUNCT
iajs-2554	45	18	𝜎𝛽0	𝜎𝛽0	PROPN
iajs-2554	45	19	2(𝑉+𝑚𝑈	2(𝑉+𝑚𝑈	NUM
iajs-2554	45	20	)	)	PUNCT
iajs-2554	45	21	1+𝑚2	1+𝑚2	NUM
iajs-2554	45	22	,	,	PUNCT
iajs-2554	45	23	0	0	NUM
iajs-2554	45	24	)	)	PUNCT
iajs-2554	45	25	(	(	PUNCT
iajs-2554	45	26	6	6	NUM
iajs-2554	45	27	)	)	PUNCT
iajs-2554	46	1	in	in	ADP
iajs-2554	46	2	which	which	PRON
iajs-2554	46	3	�	�	PROPN
iajs-2554	46	4	⃑	⃑	NOUN
iajs-2554	46	5	�	�	PROPN
iajs-2554	46	6	is	be	AUX
iajs-2554	46	7	the	the	DET
iajs-2554	46	8	magnetic	magnetic	ADJ
iajs-2554	46	9	force	force	NOUN
iajs-2554	46	10	,	,	PUNCT
iajs-2554	46	11	𝐽	𝐽	PROPN
iajs-2554	46	12	assigns	assign	VERB
iajs-2554	46	13	to	to	ADP
iajs-2554	46	14	the	the	DET
iajs-2554	46	15	current	current	ADJ
iajs-2554	46	16	density	density	NOUN
iajs-2554	46	17	vector	vector	NOUN
iajs-2554	46	18	,	,	PUNCT
iajs-2554	46	19	�	�	NOUN
iajs-2554	46	20	⃑⃑	⃑⃑	NOUN
iajs-2554	46	21	�	�	NOUN
iajs-2554	46	22	=	=	SYM
iajs-2554	46	23	(	(	PUNCT
iajs-2554	46	24	𝑈	𝑈	PROPN
iajs-2554	46	25	,	,	PUNCT
iajs-2554	46	26	𝑉	𝑉	PROPN
iajs-2554	46	27	,	,	PUNCT
iajs-2554	46	28	0	0	NUM
iajs-2554	46	29	)	)	PUNCT
iajs-2554	46	30	the	the	DET
iajs-2554	46	31	velocity	velocity	NOUN
iajs-2554	46	32	field	field	NOUN
iajs-2554	46	33	,	,	PUNCT
iajs-2554	46	34	𝜎	𝜎	PROPN
iajs-2554	46	35	the	the	DET
iajs-2554	46	36	electrical	electrical	ADJ
iajs-2554	46	37	conductivity	conductivity	NOUN
iajs-2554	46	38	,	,	PUNCT
iajs-2554	46	39	𝑛	𝑛	PRON
iajs-2554	46	40	the	the	DET
iajs-2554	46	41	number	number	NOUN
iajs-2554	46	42	density	density	NOUN
iajs-2554	46	43	of	of	ADP
iajs-2554	46	44	electron	electron	NOUN
iajs-2554	46	45	,	,	PUNCT
iajs-2554	46	46	𝑒	𝑒	PROPN
iajs-2554	46	47	the	the	DET
iajs-2554	46	48	electric	electric	ADJ
iajs-2554	46	49	charge	charge	NOUN
iajs-2554	46	50	,	,	PUNCT
iajs-2554	46	51	𝛽0	𝛽0	VERB
iajs-2554	46	52	the	the	DET
iajs-2554	46	53	magnetic	magnetic	ADJ
iajs-2554	46	54	field	field	NOUN
iajs-2554	46	55	strength	strength	NOUN
iajs-2554	46	56	and	and	CCONJ
iajs-2554	46	57	(	(	PUNCT
iajs-2554	46	58	𝑚	𝑚	X
iajs-2554	46	59	=	=	SYM
iajs-2554	46	60	𝜎𝛽0	𝜎𝛽0	ADJ
iajs-2554	46	61	𝑒𝑛	𝑒𝑛	NOUN
iajs-2554	46	62	)	)	PUNCT
iajs-2554	46	63	the	the	DET
iajs-2554	46	64	hall	hall	NOUN
iajs-2554	46	65	parameter	parameter	NOUN
iajs-2554	46	66	.	.	PUNCT
iajs-2554	47	1	the	the	DET
iajs-2554	47	2	fluid	fluid	ADJ
iajs-2554	47	3	satisfies	satisfie	NOUN
iajs-2554	47	4	bingham	bingham	PROPN
iajs-2554	47	5	plastic	plastic	NOUN
iajs-2554	47	6	model	model	NOUN
iajs-2554	47	7	and	and	CCONJ
iajs-2554	47	8	its	its	PRON
iajs-2554	47	9	extra	extra	ADJ
iajs-2554	47	10	stress	stress	NOUN
iajs-2554	47	11	tensor	tensor	NOUN
iajs-2554	47	12	is	be	AUX
iajs-2554	47	13	given	give	VERB
iajs-2554	47	14	as	as	SCONJ
iajs-2554	47	15	follows	follow	VERB
iajs-2554	47	16	[	[	X
iajs-2554	47	17	11	11	NUM
iajs-2554	47	18	]	]	PUNCT
iajs-2554	47	19	:	:	PUNCT
iajs-2554	47	20	𝑆̅	𝑆̅	NOUN
iajs-2554	47	21	=	=	SYM
iajs-2554	47	22	(	(	PUNCT
iajs-2554	47	23	𝜇(	𝜇(	PROPN
iajs-2554	47	24	�	�	NOUN
iajs-2554	47	25	̅	̅	NOUN
iajs-2554	47	26	�	�	NOUN
iajs-2554	47	27	)	)	PUNCT
iajs-2554	48	1	+	+	CCONJ
iajs-2554	48	2	𝜏𝑦	𝜏𝑦	PROPN
iajs-2554	48	3	𝛾.	𝛾.	NOUN
iajs-2554	48	4	)	)	PUNCT
iajs-2554	48	5	�	�	PROPN
iajs-2554	48	6	̅	̅	NOUN
iajs-2554	48	7	�	�	NOUN
iajs-2554	48	8	1	1	NUM
iajs-2554	48	9	for	for	ADP
iajs-2554	48	10	𝜏	𝜏	PRON
iajs-2554	48	11	≥	≥	NOUN
iajs-2554	48	12	𝜏𝑦	𝜏𝑦	PROPN
iajs-2554	48	13	𝑆̅	𝑆̅	NOUN
iajs-2554	48	14	=	=	PUNCT
iajs-2554	48	15	0	0	PUNCT
iajs-2554	48	16	for	for	ADP
iajs-2554	48	17	𝜏	𝜏	X
iajs-2554	48	18	<	<	X
iajs-2554	48	19	𝜏𝑦	𝜏𝑦	PROPN
iajs-2554	48	20	}	}	PUNCT
iajs-2554	48	21	(	(	PUNCT
iajs-2554	48	22	7	7	X
iajs-2554	48	23	)	)	PUNCT
iajs-2554	48	24	such	such	ADJ
iajs-2554	48	25	that	that	SCONJ
iajs-2554	48	26	�	�	PROPN
iajs-2554	48	27	̅	̅	NOUN
iajs-2554	48	28	�	�	NOUN
iajs-2554	48	29	1	1	NUM
iajs-2554	48	30	=	=	SYM
iajs-2554	48	31	∇	∇	PRON
iajs-2554	48	32	�	�	NOUN
iajs-2554	48	33	⃑⃑	⃑⃑	NOUN
iajs-2554	48	34	�	�	PROPN
iajs-2554	48	35	+	+	CCONJ
iajs-2554	48	36	(	(	PUNCT
iajs-2554	48	37	∇	∇	PROPN
iajs-2554	48	38	�	�	NOUN
iajs-2554	48	39	⃑⃑	⃑⃑	PROPN
iajs-2554	48	40	�	�	NOUN
iajs-2554	48	41	)	)	PUNCT
iajs-2554	48	42	𝑇	𝑇	PROPN
iajs-2554	48	43	(	(	PUNCT
iajs-2554	48	44	8)	8)	NUM
iajs-2554	48	45	and	and	CCONJ
iajs-2554	48	46	𝛾	𝛾	NOUN
iajs-2554	48	47	.	.	PUNCT
iajs-2554	49	1	=	=	NOUN
iajs-2554	49	2	√	√	NUM
iajs-2554	49	3	𝑡𝑟𝑎𝑐(	𝑡𝑟𝑎𝑐(	NOUN
iajs-2554	49	4	�	�	NOUN
iajs-2554	49	5	̅	̅	NOUN
iajs-2554	49	6	�	�	NOUN
iajs-2554	49	7	1)2	1)2	NUM
iajs-2554	49	8	2	2	NUM
iajs-2554	49	9	(	(	PUNCT
iajs-2554	49	10	9	9	X
iajs-2554	49	11	)	)	PUNCT
iajs-2554	49	12	𝑆̅	𝑆̅	NOUN
iajs-2554	49	13	represents	represent	VERB
iajs-2554	49	14	the	the	DET
iajs-2554	49	15	extra	extra	ADJ
iajs-2554	49	16	stress	stress	NOUN
iajs-2554	49	17	tensor,𝛻	tensor,𝛻	NUM
iajs-2554	49	18	=	=	SYM
iajs-2554	49	19	(	(	PUNCT
iajs-2554	49	20	𝜕/𝜕	𝜕/𝜕	NOUN
iajs-2554	49	21	�	�	PROPN
iajs-2554	49	22	̅	̅	NOUN
iajs-2554	49	23	�	�	PROPN
iajs-2554	49	24	,	,	PUNCT
iajs-2554	49	25	𝜕/𝜕	𝜕/𝜕	PROPN
iajs-2554	49	26	�	�	PROPN
iajs-2554	49	27	̅	̅	NOUN
iajs-2554	49	28	�	�	NOUN
iajs-2554	49	29	,	,	PUNCT
iajs-2554	49	30	0	0	NUM
iajs-2554	49	31	)	)	PUNCT
iajs-2554	49	32	the	the	DET
iajs-2554	49	33	gradient	gradient	NOUN
iajs-2554	49	34	vector	vector	NOUN
iajs-2554	49	35	,	,	PUNCT
iajs-2554	49	36	𝜏𝑦	𝜏𝑦	PROPN
iajs-2554	49	37	the	the	DET
iajs-2554	49	38	yield	yield	NOUN
iajs-2554	49	39	stress	stress	NOUN
iajs-2554	49	40	�	�	PROPN
iajs-2554	49	41	̅	̅	NOUN
iajs-2554	49	42	�	�	NOUN
iajs-2554	49	43	1is	1is	NOUN
iajs-2554	49	44	the	the	DET
iajs-2554	49	45	first	first	ADJ
iajs-2554	49	46	rivlinerickson	rivlinerickson	NOUN
iajs-2554	49	47	,	,	PUNCT
iajs-2554	49	48	and	and	CCONJ
iajs-2554	49	49	𝜇(	𝜇(	PROPN
iajs-2554	49	50	�	�	SYM
iajs-2554	49	51	̅	̅	NOUN
iajs-2554	49	52	�	�	NOUN
iajs-2554	49	53	)	)	PUNCT
iajs-2554	49	54	is	be	AUX
iajs-2554	49	55	the	the	DET
iajs-2554	49	56	dynamic	dynamic	ADJ
iajs-2554	49	57	variable	variable	ADJ
iajs-2554	49	58	viscosity	viscosity	NOUN
iajs-2554	49	59	.	.	PUNCT
iajs-2554	50	1	the	the	DET
iajs-2554	50	2	fundamental	fundamental	ADJ
iajs-2554	50	3	equations	equation	NOUN
iajs-2554	50	4	of	of	ADP
iajs-2554	50	5	the	the	DET
iajs-2554	50	6	flow	flow	NOUN
iajs-2554	50	7	can	can	AUX
iajs-2554	50	8	be	be	AUX
iajs-2554	50	9	written	write	VERB
iajs-2554	50	10	as	as	ADP
iajs-2554	50	11	below	below	ADV
iajs-2554	50	12	:	:	PUNCT
iajs-2554	51	1	𝑑𝑖𝑣	𝑑𝑖𝑣	PROPN
iajs-2554	51	2	�	�	PROPN
iajs-2554	51	3	̅	̅	NOUN
iajs-2554	51	4	�	�	NOUN
iajs-2554	51	5	=	=	SYM
iajs-2554	51	6	0	0	NUM
iajs-2554	51	7	(	(	PUNCT
iajs-2554	51	8	10	10	NUM
iajs-2554	51	9	)	)	PUNCT
iajs-2554	51	10	𝑋-component	𝑋-component	NOUN
iajs-2554	51	11	of	of	ADP
iajs-2554	51	12	momentum	momentum	NOUN
iajs-2554	51	13	equation	equation	NOUN
iajs-2554	51	14	𝜌	𝜌	X
iajs-2554	51	15	(	(	PUNCT
iajs-2554	51	16	𝑑	𝑑	PROPN
iajs-2554	51	17	�	�	PROPN
iajs-2554	51	18	̅	̅	NOUN
iajs-2554	51	19	�	�	NOUN
iajs-2554	51	20	𝑑𝑡	𝑑𝑡	ADP
iajs-2554	51	21	+	+	ADJ
iajs-2554	51	22	�	�	PROPN
iajs-2554	51	23	̅	̅	NOUN
iajs-2554	51	24	�	�	PROPN
iajs-2554	51	25	𝜕	𝜕	PROPN
iajs-2554	51	26	�	�	PROPN
iajs-2554	51	27	̅	̅	NOUN
iajs-2554	51	28	�	�	PROPN
iajs-2554	51	29	𝜕	𝜕	PROPN
iajs-2554	51	30	�	�	PROPN
iajs-2554	51	31	̅	̅	NOUN
iajs-2554	51	32	�	�	PROPN
iajs-2554	51	33	+	+	CCONJ
iajs-2554	51	34	�	�	PROPN
iajs-2554	51	35	̅	̅	NOUN
iajs-2554	51	36	�	�	PROPN
iajs-2554	51	37	𝜕	𝜕	PROPN
iajs-2554	51	38	�	�	PROPN
iajs-2554	51	39	̅	̅	NOUN
iajs-2554	51	40	�	�	PROPN
iajs-2554	51	41	𝜕	𝜕	PROPN
iajs-2554	51	42	�	�	PROPN
iajs-2554	51	43	̅	̅	NOUN
iajs-2554	51	44	�	�	NOUN
iajs-2554	51	45	)	)	PUNCT
iajs-2554	51	46	=	=	SYM
iajs-2554	51	47	−	−	PROPN
iajs-2554	51	48	𝜕	𝜕	NOUN
iajs-2554	51	49	�	�	PROPN
iajs-2554	51	50	̅	̅	NOUN
iajs-2554	51	51	�	�	PROPN
iajs-2554	51	52	𝜕	𝜕	PROPN
iajs-2554	51	53	�	�	PROPN
iajs-2554	51	54	̅	̅	NOUN
iajs-2554	51	55	�	�	PROPN
iajs-2554	51	56	+	+	CCONJ
iajs-2554	51	57	𝜕	𝜕	PROPN
iajs-2554	51	58	�	�	PROPN
iajs-2554	51	59	̅	̅	NOUN
iajs-2554	51	60	�	�	NOUN
iajs-2554	51	61	�	�	NOUN
iajs-2554	51	62	̅	̅	NOUN
iajs-2554	51	63	�	�	NOUN
iajs-2554	51	64	�	�	NOUN
iajs-2554	51	65	̅	̅	NOUN
iajs-2554	51	66	�	�	PROPN
iajs-2554	51	67	𝜕	𝜕	PROPN
iajs-2554	51	68	�	�	PROPN
iajs-2554	51	69	̅	̅	NOUN
iajs-2554	51	70	�	�	PROPN
iajs-2554	51	71	+	+	CCONJ
iajs-2554	51	72	𝜕	𝜕	PROPN
iajs-2554	51	73	�	�	PROPN
iajs-2554	51	74	̅	̅	NOUN
iajs-2554	51	75	�	�	NOUN
iajs-2554	51	76	�	�	NOUN
iajs-2554	51	77	̅	̅	NOUN
iajs-2554	51	78	�	�	NOUN
iajs-2554	51	79	�	�	NOUN
iajs-2554	51	80	̅	̅	NOUN
iajs-2554	51	81	�	�	PROPN
iajs-2554	51	82	𝜕	𝜕	PROPN
iajs-2554	51	83	�	�	PROPN
iajs-2554	51	84	̅	̅	NOUN
iajs-2554	51	85	�	�	NOUN
iajs-2554	51	86	−	−	PROPN
iajs-2554	51	87	𝜎𝛽2	𝜎𝛽2	PROPN
iajs-2554	51	88	(	(	PUNCT
iajs-2554	51	89	�	�	NOUN
iajs-2554	51	90	̅	̅	NOUN
iajs-2554	51	91	�	�	PROPN
iajs-2554	51	92	−𝑚	−𝑚	PROPN
iajs-2554	51	93	�	�	PROPN
iajs-2554	51	94	̅	̅	NOUN
iajs-2554	51	95	�	�	NOUN
iajs-2554	51	96	)	)	PUNCT
iajs-2554	51	97	1+𝑚2	1+𝑚2	NOUN
iajs-2554	52	1	+	+	CCONJ
iajs-2554	52	2	𝜌𝑔	𝜌𝑔	ADP
iajs-2554	52	3	sin	sin	NOUN
iajs-2554	52	4	𝛼	𝛼	NOUN
iajs-2554	52	5	−	−	NOUN
iajs-2554	52	6	𝜇	𝜇	ADP
iajs-2554	52	7	𝜅	𝜅	DET
iajs-2554	52	8	�	�	NOUN
iajs-2554	52	9	̅	̅	NOUN
iajs-2554	52	10	�	�	NOUN
iajs-2554	52	11	(	(	PUNCT
iajs-2554	52	12	11	11	NUM
iajs-2554	52	13	)	)	PUNCT
iajs-2554	53	1	𝑌-component	𝑌-component	NOUN
iajs-2554	53	2	of	of	ADP
iajs-2554	53	3	momentum	momentum	NOUN
iajs-2554	53	4	equation	equation	NOUN
iajs-2554	53	5	𝜌	𝜌	X
iajs-2554	53	6	(	(	PUNCT
iajs-2554	53	7	𝑑	𝑑	PROPN
iajs-2554	53	8	�	�	PROPN
iajs-2554	53	9	̅	̅	NOUN
iajs-2554	53	10	�	�	NOUN
iajs-2554	53	11	𝑑𝑡	𝑑𝑡	ADP
iajs-2554	53	12	+	+	ADJ
iajs-2554	53	13	�	�	PROPN
iajs-2554	53	14	̅	̅	NOUN
iajs-2554	53	15	�	�	PROPN
iajs-2554	53	16	𝜕	𝜕	PROPN
iajs-2554	53	17	�	�	PROPN
iajs-2554	53	18	̅	̅	NOUN
iajs-2554	53	19	�	�	PROPN
iajs-2554	53	20	𝜕	𝜕	PROPN
iajs-2554	53	21	�	�	PROPN
iajs-2554	53	22	̅	̅	NOUN
iajs-2554	53	23	�	�	PROPN
iajs-2554	53	24	+	+	CCONJ
iajs-2554	53	25	�	�	PROPN
iajs-2554	53	26	̅	̅	NOUN
iajs-2554	53	27	�	�	PROPN
iajs-2554	53	28	𝜕	𝜕	PROPN
iajs-2554	53	29	�	�	PROPN
iajs-2554	53	30	̅	̅	NOUN
iajs-2554	53	31	�	�	PROPN
iajs-2554	53	32	𝜕	𝜕	PROPN
iajs-2554	53	33	�	�	PROPN
iajs-2554	53	34	̅	̅	NOUN
iajs-2554	53	35	�	�	NOUN
iajs-2554	53	36	)	)	PUNCT
iajs-2554	53	37	=	=	SYM
iajs-2554	54	1	−	−	PROPN
iajs-2554	54	2	𝜕	𝜕	NOUN
iajs-2554	54	3	�	�	PROPN
iajs-2554	54	4	̅	̅	NOUN
iajs-2554	54	5	�	�	PROPN
iajs-2554	54	6	𝜕	𝜕	PROPN
iajs-2554	54	7	�	�	PROPN
iajs-2554	54	8	̅	̅	NOUN
iajs-2554	54	9	�	�	PROPN
iajs-2554	54	10	+	+	CCONJ
iajs-2554	54	11	𝜕	𝜕	PROPN
iajs-2554	54	12	�	�	PROPN
iajs-2554	54	13	̅	̅	NOUN
iajs-2554	54	14	�	�	NOUN
iajs-2554	54	15	�	�	NOUN
iajs-2554	54	16	̅	̅	NOUN
iajs-2554	54	17	�	�	NOUN
iajs-2554	54	18	�	�	NOUN
iajs-2554	54	19	̅	̅	NOUN
iajs-2554	54	20	�	�	PROPN
iajs-2554	54	21	𝜕	𝜕	PROPN
iajs-2554	54	22	�	�	PROPN
iajs-2554	54	23	̅	̅	NOUN
iajs-2554	54	24	�	�	PROPN
iajs-2554	54	25	+	+	CCONJ
iajs-2554	54	26	𝜕	𝜕	PROPN
iajs-2554	54	27	�	�	PROPN
iajs-2554	54	28	̅	̅	NOUN
iajs-2554	54	29	�	�	NOUN
iajs-2554	54	30	�	�	NOUN
iajs-2554	54	31	̅	̅	NOUN
iajs-2554	54	32	�	�	NOUN
iajs-2554	54	33	�	�	NOUN
iajs-2554	54	34	̅	̅	NOUN
iajs-2554	54	35	�	�	PROPN
iajs-2554	54	36	𝜕	𝜕	PROPN
iajs-2554	54	37	�	�	PROPN
iajs-2554	54	38	̅	̅	NOUN
iajs-2554	54	39	�	�	NOUN
iajs-2554	54	40	−	−	PROPN
iajs-2554	54	41	𝜎𝛽2	𝜎𝛽2	PROPN
iajs-2554	54	42	(	(	PUNCT
iajs-2554	54	43	�	�	NOUN
iajs-2554	54	44	̅	̅	NOUN
iajs-2554	54	45	�	�	NOUN
iajs-2554	54	46	+𝑚	+𝑚	NOUN
iajs-2554	54	47	�	�	PROPN
iajs-2554	54	48	̅	̅	NOUN
iajs-2554	54	49	�	�	NOUN
iajs-2554	54	50	)	)	PUNCT
iajs-2554	54	51	1+𝑚2	1+𝑚2	NOUN
iajs-2554	54	52	+	+	CCONJ
iajs-2554	54	53	𝜌𝑔	𝜌𝑔	PROPN
iajs-2554	54	54	cos	cos	ADP
iajs-2554	54	55	𝛼	𝛼	PROPN
iajs-2554	54	56	−	−	PROPN
iajs-2554	54	57	𝜇	𝜇	ADP
iajs-2554	54	58	𝜅	𝜅	PRON
iajs-2554	54	59	�	�	NOUN
iajs-2554	54	60	̅	̅	NOUN
iajs-2554	54	61	�	�	PROPN
iajs-2554	54	62	(	(	PUNCT
iajs-2554	54	63	12	12	NUM
iajs-2554	54	64	)	)	PUNCT
iajs-2554	54	65	and	and	CCONJ
iajs-2554	54	66	energy	energy	NOUN
iajs-2554	54	67	equation	equation	NOUN
iajs-2554	54	68	with	with	ADP
iajs-2554	54	69	joule	joule	NOUN
iajs-2554	54	70	heating	heating	NOUN
iajs-2554	54	71	effect	effect	NOUN
iajs-2554	54	72	is	be	AUX
iajs-2554	54	73	𝜌𝑐𝑃	𝜌𝑐𝑃	NOUN
iajs-2554	54	74	(	(	PUNCT
iajs-2554	54	75	𝜕𝑇	𝜕𝑇	PROPN
iajs-2554	54	76	𝜕	𝜕	NOUN
iajs-2554	54	77	�	�	NOUN
iajs-2554	54	78	̅	̅	NOUN
iajs-2554	54	79	�	�	PROPN
iajs-2554	54	80	+	+	CCONJ
iajs-2554	54	81	�	�	NOUN
iajs-2554	54	82	̅	̅	NOUN
iajs-2554	54	83	�	�	NOUN
iajs-2554	54	84	𝜕𝑇	𝜕𝑇	PROPN
iajs-2554	54	85	𝜕	𝜕	NOUN
iajs-2554	54	86	�	�	NOUN
iajs-2554	54	87	̅	̅	NOUN
iajs-2554	54	88	�	�	PROPN
iajs-2554	54	89	+	+	CCONJ
iajs-2554	54	90	�	�	NOUN
iajs-2554	54	91	̅	̅	NOUN
iajs-2554	54	92	�	�	NOUN
iajs-2554	54	93	𝜕𝑇	𝜕𝑇	PROPN
iajs-2554	54	94	𝜕	𝜕	NOUN
iajs-2554	54	95	�	�	NOUN
iajs-2554	54	96	̅	̅	NOUN
iajs-2554	54	97	�	�	NOUN
iajs-2554	54	98	)	)	PUNCT
iajs-2554	55	1	=	=	SYM
iajs-2554	55	2	𝐾	𝐾	PROPN
iajs-2554	55	3	(	(	PUNCT
iajs-2554	55	4	𝜕2𝑇	𝜕2𝑇	PROPN
iajs-2554	55	5	𝜕	𝜕	PROPN
iajs-2554	55	6	�	�	PROPN
iajs-2554	55	7	̅	̅	NOUN
iajs-2554	55	8	�	�	NOUN
iajs-2554	55	9	2	2	NUM
iajs-2554	55	10	+	+	NUM
iajs-2554	55	11	𝜕2𝑇	𝜕2𝑇	PROPN
iajs-2554	55	12	𝜕	𝜕	PROPN
iajs-2554	55	13	�	�	PROPN
iajs-2554	55	14	̅	̅	NOUN
iajs-2554	55	15	�	�	NOUN
iajs-2554	55	16	2	2	NUM
iajs-2554	55	17	)	)	PUNCT
iajs-2554	55	18	+	+	CCONJ
iajs-2554	55	19	(	(	PUNCT
iajs-2554	55	20	𝑆	𝑆	PROPN
iajs-2554	55	21	�	�	PROPN
iajs-2554	55	22	̅̅	̅̅	PROPN
iajs-2554	55	23	�	�	PROPN
iajs-2554	55	24	�	�	PROPN
iajs-2554	55	25	̅	̅	NOUN
iajs-2554	55	26	�	�	PROPN
iajs-2554	55	27	−	−	PROPN
iajs-2554	55	28	𝑆	𝑆	PROPN
iajs-2554	55	29	�	�	PROPN
iajs-2554	55	30	̅̅	̅̅	PROPN
iajs-2554	55	31	�	�	PROPN
iajs-2554	55	32	�	�	PROPN
iajs-2554	55	33	̅	̅	NOUN
iajs-2554	55	34	�	�	NOUN
iajs-2554	55	35	)	)	PUNCT
iajs-2554	55	36	𝜕	𝜕	PROPN
iajs-2554	55	37	�	�	PROPN
iajs-2554	55	38	̅	̅	NOUN
iajs-2554	55	39	�	�	PROPN
iajs-2554	55	40	𝜕	𝜕	PROPN
iajs-2554	55	41	�	�	PROPN
iajs-2554	55	42	̅	̅	NOUN
iajs-2554	55	43	�	�	PROPN
iajs-2554	55	44	+	+	CCONJ
iajs-2554	55	45	𝑆	𝑆	PROPN
iajs-2554	55	46	�	�	PROPN
iajs-2554	55	47	̅̅	̅̅	PROPN
iajs-2554	55	48	�	�	PROPN
iajs-2554	55	49	�	�	PROPN
iajs-2554	55	50	̅	̅	NOUN
iajs-2554	55	51	�	�	PROPN
iajs-2554	55	52	(	(	PUNCT
iajs-2554	55	53	𝜕	𝜕	NOUN
iajs-2554	55	54	�	�	NOUN
iajs-2554	55	55	̅	̅	NOUN
iajs-2554	55	56	�	�	PROPN
iajs-2554	55	57	𝜕	𝜕	PROPN
iajs-2554	55	58	�	�	PROPN
iajs-2554	55	59	̅	̅	NOUN
iajs-2554	55	60	�	�	PROPN
iajs-2554	55	61	+	+	CCONJ
iajs-2554	55	62	𝜕	𝜕	PROPN
iajs-2554	55	63	�	�	NOUN
iajs-2554	55	64	̅	̅	NOUN
iajs-2554	55	65	�	�	PROPN
iajs-2554	55	66	𝜕	𝜕	PROPN
iajs-2554	55	67	�	�	PROPN
iajs-2554	55	68	̅	̅	NOUN
iajs-2554	55	69	�	�	PROPN
iajs-2554	55	70	)	)	PUNCT
iajs-2554	56	1	+	+	CCONJ
iajs-2554	56	2	𝜎𝛽0	𝜎𝛽0	ADJ
iajs-2554	56	3	2(	2(	NUM
iajs-2554	56	4	�	�	NOUN
iajs-2554	56	5	̅	̅	NOUN
iajs-2554	56	6	�	�	NOUN
iajs-2554	56	7	2+	2+	NUM
iajs-2554	56	8	�	�	NOUN
iajs-2554	56	9	̅	̅	NOUN
iajs-2554	56	10	�	�	NOUN
iajs-2554	56	11	2	2	NUM
iajs-2554	56	12	)	)	PUNCT
iajs-2554	56	13	1+𝑚2	1+𝑚2	NUM
iajs-2554	56	14	(	(	PUNCT
iajs-2554	56	15	13	13	NUM
iajs-2554	56	16	)	)	PUNCT
iajs-2554	56	17	in	in	ADP
iajs-2554	56	18	which	which	PRON
iajs-2554	56	19	𝜎	𝜎	PROPN
iajs-2554	56	20	,	,	PUNCT
iajs-2554	56	21	𝐾	𝐾	PROPN
iajs-2554	56	22	,	,	PUNCT
iajs-2554	56	23	𝜅	𝜅	PROPN
iajs-2554	56	24	,	,	PUNCT
iajs-2554	56	25	�	�	NOUN
iajs-2554	56	26	̅	̅	NOUN
iajs-2554	56	27	�	�	NOUN
iajs-2554	56	28	,	,	PUNCT
iajs-2554	56	29	𝜇	𝜇	X
iajs-2554	56	30	,	,	PUNCT
iajs-2554	56	31	𝜌	𝜌	X
iajs-2554	56	32	,	,	PUNCT
iajs-2554	56	33	𝑐𝑃	𝑐𝑃	NOUN
iajs-2554	56	34	,	,	PUNCT
iajs-2554	56	35	𝑔	𝑔	PROPN
iajs-2554	56	36	are	be	AUX
iajs-2554	56	37	the	the	DET
iajs-2554	56	38	electrical	electrical	ADJ
iajs-2554	56	39	conductivity	conductivity	NOUN
iajs-2554	56	40	,	,	PUNCT
iajs-2554	56	41	the	the	DET
iajs-2554	56	42	thermal	thermal	ADJ
iajs-2554	56	43	conductivity	conductivity	NOUN
iajs-2554	56	44	,	,	PUNCT
iajs-2554	56	45	the	the	DET
iajs-2554	56	46	porosity	porosity	NOUN
iajs-2554	56	47	parameter	parameter	NOUN
iajs-2554	56	48	,	,	PUNCT
iajs-2554	56	49	the	the	DET
iajs-2554	56	50	dynamic	dynamic	ADJ
iajs-2554	56	51	viscosity	viscosity	NOUN
iajs-2554	56	52	,	,	PUNCT
iajs-2554	56	53	the	the	DET
iajs-2554	56	54	density	density	NOUN
iajs-2554	56	55	,	,	PUNCT
iajs-2554	56	56	the	the	DET
iajs-2554	56	57	specific	specific	ADJ
iajs-2554	56	58	heat	heat	NOUN
iajs-2554	56	59	,	,	PUNCT
iajs-2554	56	60	and	and	CCONJ
iajs-2554	56	61	the	the	DET
iajs-2554	56	62	gravity	gravity	NOUN
iajs-2554	56	63	respectively	respectively	ADV
iajs-2554	56	64	.	.	PUNCT
iajs-2554	57	1	the	the	DET
iajs-2554	57	2	corresponding	corresponding	ADJ
iajs-2554	57	3	boundary	boundary	ADJ
iajs-2554	57	4	slip	slip	NOUN
iajs-2554	57	5	conditions	condition	NOUN
iajs-2554	57	6	are	be	AUX
iajs-2554	57	7	71	71	NUM
iajs-2554	57	8	ibn	ibn	PROPN
iajs-2554	57	9	al	al	PROPN
iajs-2554	57	10	-	-	PUNCT
iajs-2554	57	11	haitham	haitham	PROPN
iajs-2554	57	12	jour	jour	X
iajs-2554	57	13	.	.	PROPN
iajs-2554	58	1	for	for	ADP
iajs-2554	58	2	pure	pure	ADJ
iajs-2554	58	3	&	&	CCONJ
iajs-2554	58	4	appl	appl	PROPN
iajs-2554	58	5	.	.	PUNCT
iajs-2554	59	1	sci	sci	PROPN
iajs-2554	59	2	.	.	PROPN
iajs-2554	60	1	34	34	NUM
iajs-2554	60	2	(	(	PUNCT
iajs-2554	60	3	1	1	NUM
iajs-2554	60	4	)	)	PUNCT
iajs-2554	60	5	2021	2021	NUM
iajs-2554	60	6	�	�	NOUN
iajs-2554	60	7	̅	̅	NOUN
iajs-2554	60	8	�	�	PROPN
iajs-2554	60	9	∓	∓	PROPN
iajs-2554	60	10	𝛾𝑆	𝛾𝑆	PROPN
iajs-2554	60	11	�	�	PROPN
iajs-2554	60	12	̅	̅	NOUN
iajs-2554	60	13	�	�	NOUN
iajs-2554	60	14	𝑦	𝑦	NOUN
iajs-2554	60	15	=	=	SYM
iajs-2554	60	16	0	0	NUM
iajs-2554	60	17	𝑎𝑡	𝑎𝑡	DET
iajs-2554	60	18	�	�	PROPN
iajs-2554	60	19	̅	̅	NOUN
iajs-2554	60	20	�	�	PROPN
iajs-2554	60	21	=	=	SYM
iajs-2554	60	22	𝐻1	𝐻1	PROPN
iajs-2554	60	23	,	,	PUNCT
iajs-2554	60	24	𝐻2	𝐻2	VERB
iajs-2554	60	25	𝑇	𝑇	PROPN
iajs-2554	60	26	∓	∓	PROPN
iajs-2554	60	27	𝛽1	𝛽1	NOUN
iajs-2554	60	28	𝜕𝑇	𝜕𝑇	NOUN
iajs-2554	60	29	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	60	30	=	=	SYM
iajs-2554	60	31	𝑇0	𝑇0	X
iajs-2554	60	32	𝑎𝑡	𝑎𝑡	DET
iajs-2554	60	33	�	�	PROPN
iajs-2554	60	34	̅	̅	NOUN
iajs-2554	60	35	�	�	PROPN
iajs-2554	60	36	=	=	SYM
iajs-2554	60	37	𝐻1	𝐻1	PROPN
iajs-2554	60	38	,	,	PUNCT
iajs-2554	60	39	𝐻2	𝐻2	ADV
iajs-2554	60	40	}	}	PUNCT
iajs-2554	60	41	(	(	PUNCT
iajs-2554	60	42	14	14	NUM
iajs-2554	60	43	)	)	PUNCT
iajs-2554	60	44	and	and	CCONJ
iajs-2554	60	45	the	the	DET
iajs-2554	60	46	wall	wall	NOUN
iajs-2554	60	47	flexibility	flexibility	NOUN
iajs-2554	60	48	condition	condition	NOUN
iajs-2554	60	49	is	be	AUX
iajs-2554	60	50	[	[	PUNCT
iajs-2554	60	51	−𝜏	−𝜏	ADJ
iajs-2554	60	52	𝜕3	𝜕3	NOUN
iajs-2554	60	53	𝜕	𝜕	NOUN
iajs-2554	60	54	�	�	NOUN
iajs-2554	60	55	̅	̅	NOUN
iajs-2554	60	56	�	�	NOUN
iajs-2554	60	57	3	3	NUM
iajs-2554	61	1	+	+	NUM
iajs-2554	61	2	𝑚2	𝑚2	PROPN
iajs-2554	61	3	𝜕3	𝜕3	NOUN
iajs-2554	61	4	𝜕	𝜕	NOUN
iajs-2554	61	5	�	�	NOUN
iajs-2554	61	6	̅	̅	NOUN
iajs-2554	61	7	�	�	NOUN
iajs-2554	61	8	𝜕𝑡2	𝜕𝑡2	NOUN
iajs-2554	61	9	+	+	CCONJ
iajs-2554	61	10	𝑑′	𝑑′	PRON
iajs-2554	61	11	𝜕2	𝜕2	NOUN
iajs-2554	61	12	𝜕𝑡𝜕	𝜕𝑡𝜕	NOUN
iajs-2554	61	13	�	�	NOUN
iajs-2554	61	14	̅	̅	NOUN
iajs-2554	61	15	�	�	PROPN
iajs-2554	61	16	]	]	PUNCT
iajs-2554	61	17	�	�	PROPN
iajs-2554	61	18	̅	̅	NOUN
iajs-2554	61	19	�	�	PROPN
iajs-2554	61	20	=	=	SYM
iajs-2554	61	21	𝜕	𝜕	NOUN
iajs-2554	61	22	�	�	PROPN
iajs-2554	61	23	̅	̅	NOUN
iajs-2554	61	24	�	�	PROPN
iajs-2554	61	25	𝜕	𝜕	PROPN
iajs-2554	61	26	�	�	PROPN
iajs-2554	61	27	̅	̅	NOUN
iajs-2554	61	28	�	�	PROPN
iajs-2554	61	29	𝑎𝑡	𝑎𝑡	PRON
iajs-2554	61	30	�	�	PROPN
iajs-2554	61	31	̅	̅	NOUN
iajs-2554	61	32	�	�	PROPN
iajs-2554	61	33	=	=	SYM
iajs-2554	61	34	𝐻1	𝐻1	PROPN
iajs-2554	61	35	,	,	PUNCT
iajs-2554	61	36	𝐻2	𝐻2	PROPN
iajs-2554	61	37	(	(	PUNCT
iajs-2554	61	38	15	15	NUM
iajs-2554	61	39	)	)	PUNCT
iajs-2554	61	40	where	where	SCONJ
iajs-2554	61	41	𝑇0	𝑇0	NOUN
iajs-2554	61	42	,	,	PUNCT
iajs-2554	61	43	𝜏	𝜏	NOUN
iajs-2554	61	44	,	,	PUNCT
iajs-2554	61	45	𝑚2	𝑚2	NOUN
iajs-2554	61	46	,	,	PUNCT
iajs-2554	61	47	𝑑	𝑑	PROPN
iajs-2554	61	48	′	′	NUM
iajs-2554	61	49	,	,	PUNCT
iajs-2554	61	50	𝛾	𝛾	NOUN
iajs-2554	61	51	,	,	PUNCT
iajs-2554	61	52	𝛽1	𝛽1	NOUN
iajs-2554	61	53	are	be	AUX
iajs-2554	61	54	the	the	DET
iajs-2554	61	55	temperature	temperature	NOUN
iajs-2554	61	56	at	at	ADP
iajs-2554	61	57	the	the	DET
iajs-2554	61	58	upper	upper	ADJ
iajs-2554	61	59	and	and	CCONJ
iajs-2554	61	60	lower	low	ADJ
iajs-2554	61	61	walls	wall	NOUN
iajs-2554	61	62	,	,	PUNCT
iajs-2554	61	63	the	the	DET
iajs-2554	61	64	elastic	elastic	ADJ
iajs-2554	61	65	tension	tension	NOUN
iajs-2554	61	66	,	,	PUNCT
iajs-2554	61	67	the	the	DET
iajs-2554	61	68	mass	mass	NOUN
iajs-2554	61	69	per	per	ADP
iajs-2554	61	70	unit	unit	NOUN
iajs-2554	61	71	area	area	NOUN
iajs-2554	61	72	and	and	CCONJ
iajs-2554	61	73	the	the	DET
iajs-2554	61	74	coefficient	coefficient	NOUN
iajs-2554	61	75	of	of	ADP
iajs-2554	61	76	viscous	viscous	ADJ
iajs-2554	61	77	damping	damping	NOUN
iajs-2554	61	78	,	,	PUNCT
iajs-2554	61	79	velocity	velocity	NOUN
iajs-2554	61	80	slip	slip	NOUN
iajs-2554	61	81	coefficient	coefficient	NOUN
iajs-2554	61	82	,	,	PUNCT
iajs-2554	61	83	and	and	CCONJ
iajs-2554	61	84	temperature	temperature	NOUN
iajs-2554	61	85	slip	slip	NOUN
iajs-2554	61	86	coefficient	coefficient	NOUN
iajs-2554	61	87	respectively	respectively	ADV
iajs-2554	61	88	.	.	PUNCT
iajs-2554	62	1	dimensional	dimensional	ADJ
iajs-2554	62	2	analysis	analysis	NOUN
iajs-2554	62	3	is	be	AUX
iajs-2554	62	4	used	use	VERB
iajs-2554	62	5	for	for	ADP
iajs-2554	62	6	normalizing	normalize	VERB
iajs-2554	62	7	the	the	DET
iajs-2554	62	8	flow	flow	NOUN
iajs-2554	62	9	equations	equation	NOUN
iajs-2554	62	10	eqs	eqs	X
iajs-2554	62	11	.	.	PUNCT
iajs-2554	63	1	(	(	PUNCT
iajs-2554	63	2	7	7	NUM
iajs-2554	63	3	)	)	PUNCT
iajs-2554	63	4	(	(	PUNCT
iajs-2554	63	5	15	15	NUM
iajs-2554	63	6	)	)	PUNCT
iajs-2554	63	7	by	by	ADP
iajs-2554	63	8	using	use	VERB
iajs-2554	63	9	the	the	DET
iajs-2554	63	10	following	following	NOUN
iajs-2554	63	11	as	as	ADP
iajs-2554	63	12	bellows	bellow	NOUN
iajs-2554	63	13	:	:	PUNCT
iajs-2554	63	14	𝑥	𝑥	NOUN
iajs-2554	63	15	=	=	SYM
iajs-2554	63	16	�	�	SYM
iajs-2554	63	17	̅	̅	NOUN
iajs-2554	63	18	�	�	PROPN
iajs-2554	63	19	𝜆	𝜆	SYM
iajs-2554	63	20	,	,	PUNCT
iajs-2554	63	21	𝑦	𝑦	NOUN
iajs-2554	63	22	=	=	SYM
iajs-2554	63	23	�	�	PROPN
iajs-2554	63	24	̅	̅	NOUN
iajs-2554	63	25	�	�	PROPN
iajs-2554	63	26	𝑑	𝑑	PROPN
iajs-2554	63	27	,	,	PUNCT
iajs-2554	63	28	𝑢	𝑢	PROPN
iajs-2554	63	29	=	=	SYM
iajs-2554	63	30	�	�	PROPN
iajs-2554	63	31	̅	̅	NOUN
iajs-2554	63	32	�	�	PROPN
iajs-2554	63	33	𝑐	𝑐	PROPN
iajs-2554	63	34	,	,	PUNCT
iajs-2554	63	35	𝑣	𝑣	PRON
iajs-2554	63	36	=	=	SYM
iajs-2554	63	37	�	�	PROPN
iajs-2554	63	38	̅	̅	NOUN
iajs-2554	63	39	�	�	PROPN
iajs-2554	63	40	𝑐	𝑐	PROPN
iajs-2554	63	41	,	,	PUNCT
iajs-2554	63	42	ℎ1	ℎ1	PROPN
iajs-2554	63	43	=	=	PUNCT
iajs-2554	63	44	𝐻1	𝐻1	PROPN
iajs-2554	63	45	𝑑	𝑑	NOUN
iajs-2554	63	46	,	,	PUNCT
iajs-2554	63	47	ℎ2	ℎ2	NOUN
iajs-2554	63	48	=	=	PUNCT
iajs-2554	63	49	𝐻2	𝐻2	PROPN
iajs-2554	64	1	𝑑	𝑑	NOUN
iajs-2554	64	2	,	,	PUNCT
iajs-2554	64	3	𝑝	𝑝	NOUN
iajs-2554	64	4	=	=	PUNCT
iajs-2554	64	5	𝑑2	𝑑2	NOUN
iajs-2554	64	6	�	�	NOUN
iajs-2554	64	7	̅	̅	NOUN
iajs-2554	64	8	�	�	PROPN
iajs-2554	64	9	𝜆𝜇𝑐	𝜆𝜇𝑐	NOUN
iajs-2554	64	10	,	,	PUNCT
iajs-2554	64	11	𝛿	𝛿	PROPN
iajs-2554	64	12	=	=	X
iajs-2554	64	13	𝑑	𝑑	NOUN
iajs-2554	64	14	𝜆	𝜆	NOUN
iajs-2554	64	15	,	,	PUNCT
iajs-2554	64	16	𝛾∗	𝛾∗	NOUN
iajs-2554	64	17	=	=	PUNCT
iajs-2554	64	18	𝛾	𝛾	PROPN
iajs-2554	64	19	𝑑	𝑑	PRON
iajs-2554	64	20	,	,	PUNCT
iajs-2554	64	21	𝛽1	𝛽1	NOUN
iajs-2554	64	22	∗	∗	NOUN
iajs-2554	64	23	=	=	SYM
iajs-2554	64	24	𝛽1	𝛽1	PROPN
iajs-2554	64	25	𝑑	𝑑	NOUN
iajs-2554	64	26	,	,	PUNCT
iajs-2554	64	27	𝑆	𝑆	PROPN
iajs-2554	64	28	=	=	SYM
iajs-2554	64	29	𝑑	𝑑	NOUN
iajs-2554	64	30	�	�	PROPN
iajs-2554	64	31	̅	̅	NOUN
iajs-2554	64	32	�	�	PROPN
iajs-2554	64	33	(	(	PUNCT
iajs-2554	64	34	�	�	NOUN
iajs-2554	64	35	̅	̅	NOUN
iajs-2554	64	36	�	�	NOUN
iajs-2554	64	37	)	)	PUNCT
iajs-2554	64	38	𝜇𝑐	𝜇𝑐	NOUN
iajs-2554	64	39	,	,	PUNCT
iajs-2554	64	40	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	64	41	=	=	SYM
iajs-2554	64	42	𝜌𝑐𝑑	𝜌𝑐𝑑	X
iajs-2554	64	43	𝜇	𝜇	ADP
iajs-2554	64	44	,	,	PUNCT
iajs-2554	64	45	𝜃	𝜃	X
iajs-2554	64	46	=	=	SYM
iajs-2554	64	47	𝑇−𝑇0	𝑇−𝑇0	NOUN
iajs-2554	64	48	𝑇0	𝑇0	NOUN
iajs-2554	64	49	,	,	PUNCT
iajs-2554	64	50	𝐸1	𝐸1	NOUN
iajs-2554	64	51	=	=	SYM
iajs-2554	64	52	−𝜏𝑑3	−𝜏𝑑3	X
iajs-2554	64	53	𝜆3𝜇𝑐	𝜆3𝜇𝑐	X
iajs-2554	64	54	,	,	PUNCT
iajs-2554	64	55	𝐸2	𝐸2	ADJ
iajs-2554	64	56	=	=	PUNCT
iajs-2554	64	57	𝑚2𝑐𝑑3	𝑚2𝑐𝑑3	NOUN
iajs-2554	64	58	𝜆3𝜇𝑐	𝜆3𝜇𝑐	X
iajs-2554	64	59	,	,	PUNCT
iajs-2554	64	60	𝐸3	𝐸3	NOUN
iajs-2554	64	61	=	=	SYM
iajs-2554	64	62	𝑑′𝑑3	𝑑′𝑑3	PROPN
iajs-2554	64	63	𝜆2𝜇	𝜆2𝜇	NOUN
iajs-2554	64	64	,	,	PUNCT
iajs-2554	64	65	𝑃𝑟	𝑃𝑟	PROPN
iajs-2554	64	66	=	=	PUNCT
iajs-2554	64	67	𝜇𝑐𝑃	𝜇𝑐𝑃	PROPN
iajs-2554	64	68	𝑘	𝑘	INTJ
iajs-2554	64	69	,	,	PUNCT
iajs-2554	64	70	𝐻	𝐻	NOUN
iajs-2554	64	71	=	=	PUNCT
iajs-2554	64	72	𝛽0𝑑√	𝛽0𝑑√	VERB
iajs-2554	64	73	𝜎	𝜎	PROPN
iajs-2554	64	74	𝜇	𝜇	X
iajs-2554	64	75	,	,	PUNCT
iajs-2554	64	76	𝐸𝑐	𝐸𝑐	PROPN
iajs-2554	64	77	=	=	NOUN
iajs-2554	64	78	𝑐2	𝑐2	NOUN
iajs-2554	64	79	𝑐𝑃𝑇0	𝑐𝑃𝑇0	NOUN
iajs-2554	64	80	,	,	PUNCT
iajs-2554	64	81	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	64	82	=	=	PROPN
iajs-2554	64	83	𝐸𝑐𝑃𝑟	𝐸𝑐𝑃𝑟	PROPN
iajs-2554	64	84	,	,	PUNCT
iajs-2554	64	85	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	64	86	=	=	SYM
iajs-2554	64	87	𝑐	𝑐	PROPN
iajs-2554	64	88	√𝑔𝑑	√𝑔𝑑	NOUN
iajs-2554	64	89	,	,	PUNCT
iajs-2554	64	90	𝑑1	𝑑1	NOUN
iajs-2554	65	1	=	=	NOUN
iajs-2554	65	2	𝑎1	𝑎1	ADP
iajs-2554	65	3	𝑑	𝑑	PRON
iajs-2554	65	4	,	,	PUNCT
iajs-2554	65	5	𝑑2	𝑑2	NOUN
iajs-2554	65	6	=	=	SYM
iajs-2554	65	7	𝑎2	𝑎2	PROPN
iajs-2554	65	8	𝑑	𝑑	PROPN
iajs-2554	65	9	,	,	PUNCT
iajs-2554	65	10	𝑚1	𝑚1	NOUN
iajs-2554	65	11	∗	∗	NOUN
iajs-2554	65	12	=	=	PUNCT
iajs-2554	65	13	𝑚1𝜆	𝑚1𝜆	X
iajs-2554	65	14	𝑑	𝑑	NOUN
iajs-2554	65	15	,	,	PUNCT
iajs-2554	65	16	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	65	17	=	=	PUNCT
iajs-2554	65	18	𝑑𝜏𝑦	𝑑𝜏𝑦	PROPN
iajs-2554	65	19	𝜇𝑐	𝜇𝑐	PROPN
iajs-2554	65	20	,	,	PUNCT
iajs-2554	65	21	𝜇(	𝜇(	PROPN
iajs-2554	65	22	�	�	SYM
iajs-2554	65	23	̅	̅	NOUN
iajs-2554	65	24	�	�	NOUN
iajs-2554	65	25	)	)	PUNCT
iajs-2554	65	26	=	=	SYM
iajs-2554	65	27	𝜇(𝑦	𝜇(𝑦	NOUN
iajs-2554	65	28	)	)	PUNCT
iajs-2554	65	29	𝜇	𝜇	X
iajs-2554	65	30	(	(	PUNCT
iajs-2554	65	31	16	16	NUM
iajs-2554	65	32	)	)	PUNCT
iajs-2554	65	33	where	where	SCONJ
iajs-2554	65	34	𝛿	𝛿	NOUN
iajs-2554	65	35	is	be	AUX
iajs-2554	65	36	the	the	DET
iajs-2554	65	37	wave	wave	NOUN
iajs-2554	65	38	number	number	NOUN
iajs-2554	65	39	,	,	PUNCT
iajs-2554	65	40	𝐸1	𝐸1	VERB
iajs-2554	65	41	the	the	DET
iajs-2554	65	42	wall	wall	PROPN
iajs-2554	65	43	elastance	elastance	PROPN
iajs-2554	65	44	parameter	parameter	PROPN
iajs-2554	65	45	,	,	PUNCT
iajs-2554	65	46	𝐸2	𝐸2	ADP
iajs-2554	65	47	the	the	DET
iajs-2554	65	48	mass	mass	NOUN
iajs-2554	65	49	per	per	ADP
iajs-2554	65	50	unit	unit	NOUN
iajs-2554	65	51	area	area	NOUN
iajs-2554	65	52	parameter	parameter	NOUN
iajs-2554	65	53	,	,	PUNCT
iajs-2554	65	54	𝐸3the	𝐸3the	DET
iajs-2554	65	55	wall	wall	NOUN
iajs-2554	65	56	damping	damp	VERB
iajs-2554	65	57	parameter	parameter	NOUN
iajs-2554	65	58	,	,	PUNCT
iajs-2554	65	59	𝑅𝑒	𝑅𝑒	VERB
iajs-2554	65	60	the	the	DET
iajs-2554	65	61	reynolds	reynold	NOUN
iajs-2554	65	62	number	number	NOUN
iajs-2554	65	63	,	,	PUNCT
iajs-2554	65	64	𝑃𝑟	𝑃𝑟	PROPN
iajs-2554	65	65	the	the	DET
iajs-2554	65	66	prandtl	prandtl	NOUN
iajs-2554	65	67	number	number	NOUN
iajs-2554	65	68	,	,	PUNCT
iajs-2554	65	69	𝐻	𝐻	PROPN
iajs-2554	65	70	hartman	hartman	NOUN
iajs-2554	65	71	number	number	NOUN
iajs-2554	65	72	,	,	PUNCT
iajs-2554	65	73	𝐸𝑐	𝐸𝑐	PROPN
iajs-2554	65	74	eckret	eckret	NOUN
iajs-2554	65	75	number	number	NOUN
iajs-2554	65	76	,	,	PUNCT
iajs-2554	65	77	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	65	78	brinkman	brinkman	PROPN
iajs-2554	65	79	number	number	NOUN
iajs-2554	65	80	,	,	PUNCT
iajs-2554	65	81	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	65	82	froude	froude	ADJ
iajs-2554	65	83	number	number	NOUN
iajs-2554	65	84	,	,	PUNCT
iajs-2554	65	85	𝑚1	𝑚1	NOUN
iajs-2554	65	86	∗	∗	VERB
iajs-2554	65	87	the	the	DET
iajs-2554	65	88	dimensionless	dimensionless	NOUN
iajs-2554	65	89	non	non	ADJ
iajs-2554	65	90	-	-	ADJ
iajs-2554	65	91	uniform	uniform	ADJ
iajs-2554	65	92	parameter	parameter	NOUN
iajs-2554	65	93	,	,	PUNCT
iajs-2554	65	94	ℎ1	ℎ1	PROPN
iajs-2554	65	95	the	the	DET
iajs-2554	65	96	dimensionless	dimensionless	NOUN
iajs-2554	65	97	lower	low	ADJ
iajs-2554	65	98	wall	wall	PROPN
iajs-2554	65	99	surface	surface	NOUN
iajs-2554	65	100	,	,	PUNCT
iajs-2554	65	101	ℎ2	ℎ2	ADJ
iajs-2554	65	102	upper	upper	ADJ
iajs-2554	65	103	wall	wall	NOUN
iajs-2554	65	104	surface	surface	PROPN
iajs-2554	65	105	,	,	PUNCT
iajs-2554	65	106	𝑥	𝑥	X
iajs-2554	65	107	,	,	PUNCT
iajs-2554	65	108	𝑦	𝑦	NOUN
iajs-2554	65	109	components	component	NOUN
iajs-2554	65	110	of	of	ADP
iajs-2554	65	111	the	the	DET
iajs-2554	65	112	dimensionless	dimensionless	NOUN
iajs-2554	65	113	coordinates	coordinate	NOUN
iajs-2554	65	114	,	,	PUNCT
iajs-2554	65	115	𝑢	𝑢	PRON
iajs-2554	65	116	axial	axial	ADJ
iajs-2554	65	117	velocity	velocity	NOUN
iajs-2554	65	118	,	,	PUNCT
iajs-2554	65	119	𝑣	𝑣	DET
iajs-2554	65	120	transverse	transverse	NOUN
iajs-2554	65	121	component	component	NOUN
iajs-2554	65	122	of	of	ADP
iajs-2554	65	123	velocity	velocity	NOUN
iajs-2554	65	124	,	,	PUNCT
iajs-2554	65	125	𝜖	𝜖	PROPN
iajs-2554	65	126	the	the	DET
iajs-2554	65	127	fluid	fluid	ADJ
iajs-2554	65	128	dimensionless	dimensionless	NOUN
iajs-2554	65	129	viscosity	viscosity	NOUN
iajs-2554	65	130	parameter	parameter	NOUN
iajs-2554	65	131	,	,	PUNCT
iajs-2554	65	132	𝛾	𝛾	PROPN
iajs-2554	65	133	.	.	PUNCT
iajs-2554	65	134	,	,	PUNCT
iajs-2554	65	135	𝛽1	𝛽1	NOUN
iajs-2554	65	136	∗	∗	VERB
iajs-2554	65	137	the	the	DET
iajs-2554	65	138	dimensionless	dimensionless	NOUN
iajs-2554	65	139	velocity	velocity	NOUN
iajs-2554	65	140	and	and	CCONJ
iajs-2554	65	141	thermal	thermal	ADJ
iajs-2554	65	142	slip	slip	NOUN
iajs-2554	65	143	parameters	parameter	NOUN
iajs-2554	65	144	respectively	respectively	ADV
iajs-2554	65	145	and	and	CCONJ
iajs-2554	65	146	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	65	147	bingham	bingham	PROPN
iajs-2554	65	148	number	number	NOUN
iajs-2554	65	149	.	.	PUNCT
iajs-2554	66	1	note	note	VERB
iajs-2554	66	2	that	that	SCONJ
iajs-2554	66	3	we	we	PRON
iajs-2554	66	4	omitted	omit	VERB
iajs-2554	66	5	asterisks	asterisk	NOUN
iajs-2554	66	6	for	for	ADP
iajs-2554	66	7	simplicity	simplicity	NOUN
iajs-2554	66	8	introducing	introduce	VERB
iajs-2554	66	9	the	the	DET
iajs-2554	66	10	stream	stream	NOUN
iajs-2554	66	11	function	function	NOUN
iajs-2554	66	12	𝜓(𝑥	𝜓(𝑥	PROPN
iajs-2554	66	13	,	,	PUNCT
iajs-2554	66	14	𝑦	𝑦	NOUN
iajs-2554	66	15	,	,	PUNCT
iajs-2554	66	16	𝑡	𝑡	NOUN
iajs-2554	66	17	)	)	PUNCT
iajs-2554	66	18	and	and	CCONJ
iajs-2554	66	19	make	make	VERB
iajs-2554	66	20	use	use	NOUN
iajs-2554	66	21	of	of	ADP
iajs-2554	66	22	the	the	DET
iajs-2554	66	23	following	follow	VERB
iajs-2554	66	24	relation	relation	NOUN
iajs-2554	66	25	𝑢	𝑢	X
iajs-2554	66	26	=	=	SYM
iajs-2554	66	27	𝜓𝑦	𝜓𝑦	PROPN
iajs-2554	66	28	,	,	PUNCT
iajs-2554	66	29	𝑣	𝑣	X
iajs-2554	66	30	=	=	PUNCT
iajs-2554	66	31	−𝛿𝜓𝑥	−𝛿𝜓𝑥	NOUN
iajs-2554	66	32	applying	apply	VERB
iajs-2554	66	33	eq	eq	ADP
iajs-2554	66	34	.	.	PUNCT
iajs-2554	67	1	(	(	PUNCT
iajs-2554	67	2	17	17	NUM
iajs-2554	67	3	)	)	PUNCT
iajs-2554	67	4	into	into	ADP
iajs-2554	67	5	eqs	eqs	PROPN
iajs-2554	67	6	.	.	PUNCT
iajs-2554	68	1	(	(	PUNCT
iajs-2554	68	2	9	9	NUM
iajs-2554	68	3	)	)	PUNCT
iajs-2554	68	4	–	–	PUNCT
iajs-2554	68	5	(	(	PUNCT
iajs-2554	68	6	16	16	NUM
iajs-2554	68	7	)	)	PUNCT
iajs-2554	68	8	and	and	CCONJ
iajs-2554	68	9	making	make	VERB
iajs-2554	68	10	use	use	NOUN
iajs-2554	68	11	of	of	ADP
iajs-2554	68	12	eq	eq	NOUN
iajs-2554	68	13	.	.	PUNCT
iajs-2554	69	1	(	(	PUNCT
iajs-2554	69	2	17	17	NUM
iajs-2554	69	3	)	)	PUNCT
iajs-2554	69	4	,	,	PUNCT
iajs-2554	69	5	the	the	DET
iajs-2554	69	6	continuity	continuity	NOUN
iajs-2554	69	7	equation	equation	NOUN
iajs-2554	69	8	(	(	PUNCT
iajs-2554	69	9	11	11	NUM
iajs-2554	69	10	)	)	PUNCT
iajs-2554	69	11	vanishs	vanishs	NOUN
iajs-2554	69	12	identically	identically	ADV
iajs-2554	69	13	,	,	PUNCT
iajs-2554	69	14	other	other	ADJ
iajs-2554	69	15	flow	flow	NOUN
iajs-2554	69	16	equations	equation	NOUN
iajs-2554	69	17	take	take	VERB
iajs-2554	69	18	the	the	DET
iajs-2554	69	19	following	follow	VERB
iajs-2554	69	20	form	form	NOUN
iajs-2554	69	21	𝛿𝑅𝑒(𝜓𝑡𝑦	𝛿𝑅𝑒(𝜓𝑡𝑦	PROPN
iajs-2554	69	22	+	+	CCONJ
iajs-2554	69	23	𝜓𝑦𝜓𝑥𝑦	𝜓𝑦𝜓𝑥𝑦	NOUN
iajs-2554	69	24	−	−	PROPN
iajs-2554	69	25	𝛿𝜓𝑥𝜓𝑥𝑦	𝛿𝜓𝑥𝜓𝑥𝑦	NOUN
iajs-2554	69	26	)	)	PUNCT
iajs-2554	70	1	=	=	SYM
iajs-2554	70	2	−𝑃𝑥	−𝑃𝑥	VERB
iajs-2554	70	3	+	+	CCONJ
iajs-2554	70	4	𝛿	𝛿	ADJ
iajs-2554	70	5	𝜕𝑆𝑥𝑥	𝜕𝑆𝑥𝑥	PROPN
iajs-2554	70	6	𝜕𝑥	𝜕𝑥	NOUN
iajs-2554	70	7	+	+	CCONJ
iajs-2554	70	8	𝜕𝑆𝑥𝑦	𝜕𝑆𝑥𝑦	PROPN
iajs-2554	70	9	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	70	10	−	−	PROPN
iajs-2554	70	11	𝐻2	𝐻2	PROPN
iajs-2554	70	12	(	(	PUNCT
iajs-2554	70	13	1+𝑚2	1+𝑚2	NUM
iajs-2554	70	14	)	)	PUNCT
iajs-2554	70	15	(	(	PUNCT
iajs-2554	70	16	𝜓𝑦	𝜓𝑦	NOUN
iajs-2554	70	17	+	+	CCONJ
iajs-2554	70	18	𝛿𝑚𝜓𝑥	𝛿𝑚𝜓𝑥	PROPN
iajs-2554	70	19	)	)	PUNCT
iajs-2554	71	1	−	−	NOUN
iajs-2554	71	2	𝜓𝑦	𝜓𝑦	ADP
iajs-2554	71	3	𝜅	𝜅	PRON
iajs-2554	71	4	+	+	CCONJ
iajs-2554	71	5	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	71	6	(	(	PUNCT
iajs-2554	71	7	𝐹𝑟)2	𝐹𝑟)2	NOUN
iajs-2554	71	8	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
iajs-2554	71	9	(	(	PUNCT
iajs-2554	71	10	17	17	NUM
iajs-2554	71	11	)	)	PUNCT
iajs-2554	72	1	𝛿2𝑅𝑒(−𝛿2𝜓𝑡𝑥	𝛿2𝑅𝑒(−𝛿2𝜓𝑡𝑥	NOUN
iajs-2554	72	2	−	−	PROPN
iajs-2554	72	3	𝛿2𝜓𝑦𝜓𝑥𝑥	𝛿2𝜓𝑦𝜓𝑥𝑥	PROPN
iajs-2554	72	4	+	+	CCONJ
iajs-2554	72	5	𝛿3𝜓𝑥𝜓𝑥𝑦	𝛿3𝜓𝑥𝜓𝑥𝑦	NOUN
iajs-2554	72	6	)	)	PUNCT
iajs-2554	72	7	=	=	SYM
iajs-2554	73	1	−𝑃𝑦	−𝑃𝑦	NOUN
iajs-2554	73	2	+	+	CCONJ
iajs-2554	73	3	𝛿	𝛿	ADJ
iajs-2554	73	4	𝜕𝑆𝑦𝑦	𝜕𝑆𝑦𝑦	NOUN
iajs-2554	73	5	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	73	6	+	+	CCONJ
iajs-2554	73	7	𝛿2	𝛿2	PROPN
iajs-2554	73	8	𝜕𝑆𝑦𝑥	𝜕𝑆𝑦𝑥	PROPN
iajs-2554	73	9	𝜕𝑥	𝜕𝑥	NOUN
iajs-2554	73	10	−	−	PROPN
iajs-2554	73	11	𝐻2𝛿	𝐻2𝛿	PROPN
iajs-2554	73	12	(	(	PUNCT
iajs-2554	73	13	1	1	NUM
iajs-2554	73	14	+	+	NUM
iajs-2554	73	15	𝑚2	𝑚2	NOUN
iajs-2554	73	16	)	)	PUNCT
iajs-2554	73	17	(	(	PUNCT
iajs-2554	73	18	−𝛿𝜓𝑥	−𝛿𝜓𝑥	X
iajs-2554	73	19	+	+	CCONJ
iajs-2554	73	20	𝑚𝜓𝑦	𝑚𝜓𝑦	NOUN
iajs-2554	73	21	)	)	PUNCT
iajs-2554	73	22	−	−	PROPN
iajs-2554	73	23	𝜓𝑦	𝜓𝑦	ADP
iajs-2554	73	24	𝜅	𝜅	DET
iajs-2554	73	25	−	−	NOUN
iajs-2554	73	26	𝛿𝑅𝑒	𝛿𝑅𝑒	ADJ
iajs-2554	73	27	(	(	PUNCT
iajs-2554	73	28	𝐹𝑟)2	𝐹𝑟)2	NOUN
iajs-2554	73	29	𝑐𝑜𝑠𝛼	𝑐𝑜𝑠𝛼	NOUN
iajs-2554	73	30	(	(	PUNCT
iajs-2554	73	31	18	18	NUM
iajs-2554	73	32	)	)	PUNCT
iajs-2554	73	33	72	72	NUM
iajs-2554	73	34	ibn	ibn	PROPN
iajs-2554	73	35	al	al	PROPN
iajs-2554	73	36	-	-	PUNCT
iajs-2554	73	37	haitham	haitham	PROPN
iajs-2554	73	38	jour	jour	X
iajs-2554	73	39	.	.	PROPN
iajs-2554	74	1	for	for	ADP
iajs-2554	74	2	pure	pure	ADJ
iajs-2554	74	3	&	&	CCONJ
iajs-2554	74	4	appl	appl	PROPN
iajs-2554	74	5	.	.	PUNCT
iajs-2554	75	1	sci	sci	PROPN
iajs-2554	75	2	.	.	PROPN
iajs-2554	76	1	34	34	NUM
iajs-2554	76	2	(	(	PUNCT
iajs-2554	76	3	1	1	NUM
iajs-2554	76	4	)	)	PUNCT
iajs-2554	76	5	2021	2021	NUM
iajs-2554	76	6	𝑅𝑒𝑃𝑟	𝑅𝑒𝑃𝑟	X
iajs-2554	76	7	(	(	PUNCT
iajs-2554	76	8	𝛿	𝛿	PRON
iajs-2554	76	9	𝜕𝜃	𝜕𝜃	NOUN
iajs-2554	76	10	𝜕𝑡	𝜕𝑡	NOUN
iajs-2554	76	11	+	+	CCONJ
iajs-2554	76	12	𝛿𝜓𝑦	𝛿𝜓𝑦	ADJ
iajs-2554	76	13	𝜕𝜃	𝜕𝜃	NOUN
iajs-2554	76	14	𝜕𝑥	𝜕𝑥	X
iajs-2554	76	15	−	−	NOUN
iajs-2554	76	16	𝛿𝜓𝑥	𝛿𝜓𝑥	NOUN
iajs-2554	76	17	𝜕𝜃	𝜕𝜃	NOUN
iajs-2554	76	18	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	76	19	)	)	PUNCT
iajs-2554	77	1	=	=	SYM
iajs-2554	77	2	𝛿2	𝛿2	NOUN
iajs-2554	77	3	𝜕2𝜃	𝜕2𝜃	NOUN
iajs-2554	77	4	𝜕𝑥2	𝜕𝑥2	NOUN
iajs-2554	77	5	+	+	CCONJ
iajs-2554	77	6	𝜕2𝜃	𝜕2𝜃	NUM
iajs-2554	77	7	𝜕𝑦2	𝜕𝑦2	NOUN
iajs-2554	77	8	+	+	NUM
iajs-2554	77	9	𝐵𝑟𝑆𝑥𝑦(𝜓𝑦𝑦	𝐵𝑟𝑆𝑥𝑦(𝜓𝑦𝑦	PRON
iajs-2554	77	10	−	−	PROPN
iajs-2554	77	11	𝛿2𝜓𝑥𝑥	𝛿2𝜓𝑥𝑥	NOUN
iajs-2554	77	12	)	)	PUNCT
iajs-2554	78	1	+	+	CCONJ
iajs-2554	78	2	𝐻2𝐵𝑟	𝐻2𝐵𝑟	ADJ
iajs-2554	78	3	(	(	PUNCT
iajs-2554	78	4	1+𝑚2	1+𝑚2	NUM
iajs-2554	78	5	)	)	PUNCT
iajs-2554	78	6	(	(	PUNCT
iajs-2554	78	7	(	(	PUNCT
iajs-2554	78	8	𝜓𝑦)2	𝜓𝑦)2	NOUN
iajs-2554	78	9	+	+	CCONJ
iajs-2554	78	10	𝛿2(𝜓𝑥	𝛿2(𝜓𝑥	NOUN
iajs-2554	78	11	)	)	PUNCT
iajs-2554	78	12	2	2	NUM
iajs-2554	78	13	)	)	PUNCT
iajs-2554	78	14	+	+	CCONJ
iajs-2554	78	15	𝛿𝐵𝑟(𝑆𝑥𝑥	𝛿𝐵𝑟(𝑆𝑥𝑥	NOUN
iajs-2554	78	16	−	−	PROPN
iajs-2554	78	17	𝑆𝑦𝑦)𝜓𝑥𝑦	𝑆𝑦𝑦)𝜓𝑥𝑦	PROPN
iajs-2554	78	18	…	…	PUNCT
iajs-2554	78	19	(	(	PUNCT
iajs-2554	78	20	19	19	NUM
iajs-2554	78	21	)	)	PUNCT
iajs-2554	78	22	adopting	adopt	VERB
iajs-2554	78	23	the	the	DET
iajs-2554	78	24	assumptions	assumption	NOUN
iajs-2554	78	25	of	of	ADP
iajs-2554	78	26	peristaltic	peristaltic	ADJ
iajs-2554	78	27	long	long	ADJ
iajs-2554	78	28	wavelength	wavelength	NOUN
iajs-2554	78	29	and	and	CCONJ
iajs-2554	78	30	low	low	ADJ
iajs-2554	78	31	reynolds	reynold	NOUN
iajs-2554	78	32	number	number	PROPN
iajs-2554	78	33	,	,	PUNCT
iajs-2554	78	34	eqs	eqs	X
iajs-2554	78	35	.	.	PUNCT
iajs-2554	79	1	(	(	PUNCT
iajs-2554	79	2	17	17	NUM
iajs-2554	79	3	)	)	PUNCT
iajs-2554	79	4	(	(	PUNCT
iajs-2554	79	5	19	19	NUM
iajs-2554	79	6	)	)	PUNCT
iajs-2554	79	7	will	will	AUX
iajs-2554	79	8	be	be	AUX
iajs-2554	79	9	reduced	reduce	VERB
iajs-2554	79	10	into	into	ADP
iajs-2554	79	11	following	follow	VERB
iajs-2554	79	12	form	form	NOUN
iajs-2554	79	13	𝑃𝑥	𝑃𝑥	PROPN
iajs-2554	79	14	=	=	PUNCT
iajs-2554	79	15	𝜕𝑆𝑥𝑦	𝜕𝑆𝑥𝑦	PROPN
iajs-2554	79	16	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	79	17	−	−	PROPN
iajs-2554	79	18	(	(	PUNCT
iajs-2554	79	19	𝐻2	𝐻2	PROPN
iajs-2554	79	20	(	(	PUNCT
iajs-2554	79	21	1+𝑚2	1+𝑚2	NUM
iajs-2554	79	22	)	)	PUNCT
iajs-2554	79	23	+	+	CCONJ
iajs-2554	80	1	1	1	NUM
iajs-2554	80	2	𝜅	𝜅	X
iajs-2554	80	3	)	)	PUNCT
iajs-2554	80	4	𝜓𝑦	𝜓𝑦	NOUN
iajs-2554	81	1	+	+	CCONJ
iajs-2554	81	2	𝑅𝑒	𝑅𝑒	VERB
iajs-2554	81	3	(	(	PUNCT
iajs-2554	81	4	𝐹𝑟)2	𝐹𝑟)2	NOUN
iajs-2554	81	5	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
iajs-2554	81	6	,	,	PUNCT
iajs-2554	81	7	(	(	PUNCT
iajs-2554	81	8	20	20	NUM
iajs-2554	81	9	)	)	PUNCT
iajs-2554	81	10	𝑃𝑦	𝑃𝑦	NOUN
iajs-2554	81	11	=	=	NOUN
iajs-2554	81	12	0	0	NUM
iajs-2554	81	13	,	,	PUNCT
iajs-2554	81	14	(	(	PUNCT
iajs-2554	81	15	21	21	NUM
iajs-2554	81	16	)	)	PUNCT
iajs-2554	81	17	𝜕2𝜃	𝜕2𝜃	NUM
iajs-2554	81	18	𝜕𝑦2	𝜕𝑦2	NOUN
iajs-2554	81	19	=	=	SYM
iajs-2554	81	20	𝐵𝑟𝑆𝑥𝑦𝜓𝑦𝑦	𝐵𝑟𝑆𝑥𝑦𝜓𝑦𝑦	PROPN
iajs-2554	81	21	+	+	CCONJ
iajs-2554	81	22	𝐻2𝐵𝑟	𝐻2𝐵𝑟	PROPN
iajs-2554	81	23	(	(	PUNCT
iajs-2554	81	24	1+𝑚2	1+𝑚2	NUM
iajs-2554	81	25	)	)	PUNCT
iajs-2554	81	26	(	(	PUNCT
iajs-2554	81	27	𝜓𝑦)2	𝜓𝑦)2	NOUN
iajs-2554	81	28	,	,	PUNCT
iajs-2554	81	29	(	(	PUNCT
iajs-2554	81	30	22	22	NUM
iajs-2554	81	31	)	)	PUNCT
iajs-2554	81	32	𝑆𝑥𝑦	𝑆𝑥𝑦	PROPN
iajs-2554	81	33	=	=	SYM
iajs-2554	81	34	𝑆𝑦𝑥	𝑆𝑦𝑥	PROPN
iajs-2554	81	35	=	=	SYM
iajs-2554	81	36	𝜇(𝑦)𝜓𝑦𝑦	𝜇(𝑦)𝜓𝑦𝑦	PROPN
iajs-2554	81	37	+	+	CCONJ
iajs-2554	81	38	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	81	39	(	(	PUNCT
iajs-2554	81	40	23	23	NUM
iajs-2554	81	41	)	)	PUNCT
iajs-2554	81	42	𝑆𝑥𝑥	𝑆𝑥𝑥	PROPN
iajs-2554	81	43	=	=	SYM
iajs-2554	81	44	0	0	NUM
iajs-2554	81	45	,	,	PUNCT
iajs-2554	81	46	𝑆𝑦𝑦	𝑆𝑦𝑦	PROPN
iajs-2554	81	47	=	=	SYM
iajs-2554	81	48	0	0	NUM
iajs-2554	81	49	,	,	PUNCT
iajs-2554	81	50	(	(	PUNCT
iajs-2554	81	51	24	24	NUM
iajs-2554	81	52	)	)	PUNCT
iajs-2554	81	53	and	and	CCONJ
iajs-2554	81	54	the	the	DET
iajs-2554	81	55	dimensionless	dimensionless	NOUN
iajs-2554	81	56	boundary	boundary	ADJ
iajs-2554	81	57	conditions	condition	NOUN
iajs-2554	81	58	are	be	AUX
iajs-2554	81	59	𝑢	𝑢	X
iajs-2554	81	60	∓	∓	NOUN
iajs-2554	82	1	𝛾𝑆𝑥𝑦	𝛾𝑆𝑥𝑦	ADP
iajs-2554	82	2	=	=	SYM
iajs-2554	82	3	0	0	PROPN
iajs-2554	83	1	𝜃	𝜃	NUM
iajs-2554	83	2	∓	∓	NOUN
iajs-2554	83	3	𝛽1	𝛽1	NOUN
iajs-2554	83	4	𝜕𝜃	𝜕𝜃	NOUN
iajs-2554	83	5	𝜕𝑦	𝜕𝑦	NOUN
iajs-2554	83	6	=	=	SYM
iajs-2554	83	7	0	0	NUM
iajs-2554	83	8	(	(	PUNCT
iajs-2554	83	9	𝐸1	𝐸1	PROPN
iajs-2554	83	10	𝜕3	𝜕3	NOUN
iajs-2554	83	11	𝜕𝑥3	𝜕𝑥3	PROPN
iajs-2554	83	12	+	+	CCONJ
iajs-2554	83	13	𝐸2	𝐸2	ADJ
iajs-2554	83	14	𝜕3	𝜕3	NOUN
iajs-2554	83	15	𝜕𝑥𝜕𝑡2	𝜕𝑥𝜕𝑡2	NOUN
iajs-2554	83	16	+	+	CCONJ
iajs-2554	83	17	𝐸3	𝐸3	PROPN
iajs-2554	83	18	𝜕2	𝜕2	NOUN
iajs-2554	83	19	𝜕𝑡𝜕𝑥	𝜕𝑡𝜕𝑥	X
iajs-2554	83	20	)	)	PUNCT
iajs-2554	83	21	𝑦	𝑦	NOUN
iajs-2554	83	22	=	=	SYM
iajs-2554	83	23	𝜕𝑆𝑥𝑦	𝜕𝑆𝑥𝑦	PROPN
iajs-2554	83	24	𝜕𝑦	𝜕𝑦	PROPN
iajs-2554	83	25	−	−	NUM
iajs-2554	83	26	𝐻2𝜓𝑦	𝐻2𝜓𝑦	NOUN
iajs-2554	83	27	1+𝑚2	1+𝑚2	NUM
iajs-2554	83	28	+	+	CCONJ
iajs-2554	83	29	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	83	30	(	(	PUNCT
iajs-2554	83	31	𝐹𝑟)2	𝐹𝑟)2	NOUN
iajs-2554	83	32	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
iajs-2554	83	33	]	]	PUNCT
iajs-2554	83	34	at	at	ADP
iajs-2554	83	35	𝑦	𝑦	NOUN
iajs-2554	83	36	=	=	SYM
iajs-2554	83	37	ℎ1	ℎ1	PROPN
iajs-2554	83	38	,	,	PUNCT
iajs-2554	83	39	ℎ2	ℎ2	NOUN
iajs-2554	83	40	,	,	PUNCT
iajs-2554	83	41	(	(	PUNCT
iajs-2554	83	42	25	25	NUM
iajs-2554	83	43	)	)	PUNCT
iajs-2554	83	44	where	where	SCONJ
iajs-2554	83	45	ℎ1	ℎ1	PROPN
iajs-2554	83	46	=	=	PROPN
iajs-2554	83	47	−1	−1	NOUN
iajs-2554	83	48	−	−	PROPN
iajs-2554	83	49	𝑚1𝑥	𝑚1𝑥	NOUN
iajs-2554	83	50	−	−	PROPN
iajs-2554	83	51	𝑑1	𝑑1	NOUN
iajs-2554	83	52	(	(	PUNCT
iajs-2554	83	53	𝐶𝑜𝑠(𝑥	𝐶𝑜𝑠(𝑥	NOUN
iajs-2554	83	54	−	−	NUM
iajs-2554	83	55	𝑡	𝑡	NOUN
iajs-2554	83	56	)	)	PUNCT
iajs-2554	83	57	+	+	NUM
iajs-2554	83	58	∅	∅	NOUN
iajs-2554	83	59	)	)	PUNCT
iajs-2554	83	60	,	,	PUNCT
iajs-2554	83	61	ℎ2	ℎ2	NOUN
iajs-2554	83	62	=	=	PUNCT
iajs-2554	83	63	1	1	NUM
iajs-2554	83	64	+	+	PROPN
iajs-2554	83	65	𝑚1𝑥	𝑚1𝑥	X
iajs-2554	83	66	+	+	PUNCT
iajs-2554	83	67	𝑑2(𝐶𝑜𝑠	𝑑2(𝐶𝑜𝑠	NOUN
iajs-2554	83	68	2𝜋(𝑥	2𝜋(𝑥	ADV
iajs-2554	83	69	−	−	NUM
iajs-2554	83	70	𝑡	𝑡	NOUN
iajs-2554	83	71	)	)	PUNCT
iajs-2554	83	72	)	)	PUNCT
iajs-2554	83	73	furthermore	furthermore	ADV
iajs-2554	83	74	,	,	PUNCT
iajs-2554	83	75	heat	heat	NOUN
iajs-2554	83	76	transfer	transfer	NOUN
iajs-2554	83	77	coefficient	coefficient	NOUN
iajs-2554	83	78	at	at	ADP
iajs-2554	83	79	lower	low	ADJ
iajs-2554	83	80	wall	wall	NOUN
iajs-2554	83	81	is	be	AUX
iajs-2554	83	82	derived	derive	VERB
iajs-2554	83	83	as	as	ADP
iajs-2554	83	84	𝑍	𝑍	PROPN
iajs-2554	83	85	=	=	SYM
iajs-2554	83	86	𝜕ℎ1	𝜕ℎ1	X
iajs-2554	83	87	𝜕𝑥	𝜕𝑥	X
iajs-2554	83	88	𝜃𝑦(ℎ1	𝜃𝑦(ℎ1	NOUN
iajs-2554	83	89	)	)	PUNCT
iajs-2554	83	90	(	(	PUNCT
iajs-2554	83	91	26	26	NUM
iajs-2554	83	92	)	)	PUNCT
iajs-2554	83	93	through	through	ADP
iajs-2554	83	94	eqs	eqs	PROPN
iajs-2554	83	95	.	.	PUNCT
iajs-2554	84	1	(	(	PUNCT
iajs-2554	84	2	20	20	NUM
iajs-2554	84	3	)	)	PUNCT
iajs-2554	84	4	and	and	CCONJ
iajs-2554	84	5	(	(	PUNCT
iajs-2554	84	6	21	21	NUM
iajs-2554	84	7	)	)	PUNCT
iajs-2554	84	8	,	,	PUNCT
iajs-2554	84	9	we	we	PRON
iajs-2554	84	10	obtain	obtain	VERB
iajs-2554	84	11	𝜕2𝑆𝑥𝑦	𝜕2𝑆𝑥𝑦	PROPN
iajs-2554	84	12	𝜕𝑦2	𝜕𝑦2	PROPN
iajs-2554	85	1	−	−	PROPN
iajs-2554	86	1	(	(	PUNCT
iajs-2554	86	2	𝐵𝑟𝐻2	𝐵𝑟𝐻2	INTJ
iajs-2554	86	3	(	(	PUNCT
iajs-2554	86	4	1+𝑚2	1+𝑚2	NUM
iajs-2554	86	5	)	)	PUNCT
iajs-2554	87	1	+	+	CCONJ
iajs-2554	87	2	1	1	NUM
iajs-2554	87	3	𝜅	𝜅	X
iajs-2554	87	4	)	)	PUNCT
iajs-2554	87	5	𝜓𝑦𝑦	𝜓𝑦𝑦	NOUN
iajs-2554	87	6	=	=	SYM
iajs-2554	87	7	0	0	NUM
iajs-2554	88	1	(	(	PUNCT
iajs-2554	88	2	27	27	NUM
iajs-2554	88	3	)	)	PUNCT
iajs-2554	88	4	we	we	PRON
iajs-2554	88	5	toke	toke	VERB
iajs-2554	88	6	the	the	DET
iajs-2554	88	7	dimensionless	dimensionless	ADJ
iajs-2554	88	8	approximate	approximate	ADJ
iajs-2554	88	9	expression	expression	NOUN
iajs-2554	88	10	for	for	ADP
iajs-2554	88	11	𝜇(𝑦)as	𝜇(𝑦)as	PRON
iajs-2554	88	12	𝜇(𝑦	𝜇(𝑦	NOUN
iajs-2554	88	13	)	)	PUNCT
iajs-2554	88	14	=	=	SYM
iajs-2554	89	1	𝑒−𝜖𝑦	𝑒−𝜖𝑦	NOUN
iajs-2554	89	2	=	=	SYM
iajs-2554	89	3	1	1	NUM
iajs-2554	89	4	−	−	NOUN
iajs-2554	89	5	𝜖𝑦	𝜖𝑦	NOUN
iajs-2554	89	6	,	,	PUNCT
iajs-2554	89	7	where𝜖	where𝜖	VERB
iajs-2554	89	8	<	<	X
iajs-2554	89	9	1	1	NUM
iajs-2554	89	10	,	,	PUNCT
iajs-2554	89	11	𝜖	𝜖	PROPN
iajs-2554	89	12	is	be	AUX
iajs-2554	89	13	nondimensional	nondimensional	ADJ
iajs-2554	89	14	viscosity	viscosity	NOUN
iajs-2554	89	15	parameter	parameter	NOUN
iajs-2554	89	16	.	.	PUNCT
iajs-2554	90	1	3	3	X
iajs-2554	90	2	.	.	X
iajs-2554	90	3	solution	solution	NOUN
iajs-2554	90	4	methodology	methodology	NOUN
iajs-2554	90	5	by	by	ADP
iajs-2554	90	6	using	use	VERB
iajs-2554	90	7	the	the	DET
iajs-2554	90	8	perturbation	perturbation	NOUN
iajs-2554	90	9	method	method	NOUN
iajs-2554	90	10	for	for	ADP
iajs-2554	90	11	a	a	DET
iajs-2554	90	12	small	small	ADJ
iajs-2554	90	13	nondimensional	nondimensional	ADJ
iajs-2554	90	14	viscosity	viscosity	NOUN
iajs-2554	90	15	parameter	parameter	NOUN
iajs-2554	90	16	𝜖	𝜖	PROPN
iajs-2554	90	17	and	and	CCONJ
iajs-2554	90	18	expanding	expand	VERB
iajs-2554	90	19	the	the	DET
iajs-2554	90	20	flow	flow	NOUN
iajs-2554	90	21	quantities	quantity	NOUN
iajs-2554	90	22	in	in	ADP
iajs-2554	90	23	a	a	DET
iajs-2554	90	24	power	power	NOUN
iajs-2554	90	25	series	series	NOUN
iajs-2554	90	26	of	of	ADP
iajs-2554	90	27	𝜖	𝜖	PROPN
iajs-2554	90	28	,	,	PUNCT
iajs-2554	90	29	we	we	PRON
iajs-2554	90	30	obtain	obtain	VERB
iajs-2554	90	31	𝜓	𝜓	PRON
iajs-2554	90	32	=	=	PROPN
iajs-2554	90	33	𝜓0	𝜓0	PROPN
iajs-2554	90	34	+	+	CCONJ
iajs-2554	90	35	𝜖	𝜖	PROPN
iajs-2554	90	36	𝜓1	𝜓1	NOUN
iajs-2554	90	37	(	(	PUNCT
iajs-2554	90	38	28	28	NUM
iajs-2554	90	39	)	)	PUNCT
iajs-2554	90	40	73	73	NUM
iajs-2554	90	41	ibn	ibn	PROPN
iajs-2554	90	42	al	al	PROPN
iajs-2554	90	43	-	-	PUNCT
iajs-2554	90	44	haitham	haitham	PROPN
iajs-2554	90	45	jour	jour	X
iajs-2554	90	46	.	.	PROPN
iajs-2554	91	1	for	for	ADP
iajs-2554	91	2	pure	pure	ADJ
iajs-2554	91	3	&	&	CCONJ
iajs-2554	91	4	appl	appl	PROPN
iajs-2554	91	5	.	.	PUNCT
iajs-2554	92	1	sci	sci	PROPN
iajs-2554	92	2	.	.	PROPN
iajs-2554	93	1	34	34	NUM
iajs-2554	93	2	(	(	PUNCT
iajs-2554	93	3	1	1	NUM
iajs-2554	93	4	)	)	PUNCT
iajs-2554	93	5	2021	2021	NUM
iajs-2554	93	6	𝜃	𝜃	X
iajs-2554	93	7	=	=	PUNCT
iajs-2554	93	8	𝜃0	𝜃0	VERB
iajs-2554	93	9	+	+	CCONJ
iajs-2554	93	10	𝜖	𝜖	X
iajs-2554	93	11	𝜃1	𝜃1	NOUN
iajs-2554	93	12	(	(	PUNCT
iajs-2554	93	13	29	29	NUM
iajs-2554	93	14	)	)	PUNCT
iajs-2554	93	15	substituting	substitute	VERB
iajs-2554	93	16	eqs	eqs	PROPN
iajs-2554	93	17	.	.	PUNCT
iajs-2554	94	1	(	(	PUNCT
iajs-2554	94	2	28	28	NUM
iajs-2554	94	3	)	)	PUNCT
iajs-2554	94	4	,	,	PUNCT
iajs-2554	94	5	(	(	PUNCT
iajs-2554	94	6	29	29	NUM
iajs-2554	94	7	)	)	PUNCT
iajs-2554	94	8	into	into	ADP
iajs-2554	94	9	eqs	eqs	PROPN
iajs-2554	94	10	.	.	PUNCT
iajs-2554	95	1	(	(	PUNCT
iajs-2554	95	2	22	22	NUM
iajs-2554	95	3	)	)	PUNCT
iajs-2554	95	4	(	(	PUNCT
iajs-2554	95	5	27	27	NUM
iajs-2554	95	6	)	)	PUNCT
iajs-2554	95	7	and	and	CCONJ
iajs-2554	95	8	then	then	ADV
iajs-2554	95	9	comparing	compare	VERB
iajs-2554	95	10	the	the	DET
iajs-2554	95	11	coefficients	coefficient	NOUN
iajs-2554	95	12	of	of	ADP
iajs-2554	95	13	same	same	ADJ
iajs-2554	95	14	power	power	NOUN
iajs-2554	95	15	of	of	ADP
iajs-2554	95	16	𝜖	𝜖	PROPN
iajs-2554	95	17	up	up	ADP
iajs-2554	95	18	to	to	ADP
iajs-2554	95	19	the	the	DET
iajs-2554	95	20	first	first	ADJ
iajs-2554	95	21	order	order	NOUN
iajs-2554	95	22	,	,	PUNCT
iajs-2554	95	23	we	we	PRON
iajs-2554	95	24	obtain	obtain	VERB
iajs-2554	95	25	the	the	DET
iajs-2554	95	26	following	follow	VERB
iajs-2554	95	27	two	two	NUM
iajs-2554	95	28	systems	system	NOUN
iajs-2554	95	29	3.1	3.1	NUM
iajs-2554	95	30	.	.	PUNCT
iajs-2554	96	1	zeroth	zeroth	ADJ
iajs-2554	96	2	order	order	NOUN
iajs-2554	96	3	system	system	NOUN
iajs-2554	96	4	the	the	DET
iajs-2554	96	5	general	general	ADJ
iajs-2554	96	6	form	form	NOUN
iajs-2554	96	7	of	of	ADP
iajs-2554	96	8	zerothorder	zerothorder	NOUN
iajs-2554	96	9	system	system	NOUN
iajs-2554	96	10	is	be	AUX
iajs-2554	96	11	:	:	PUNCT
iajs-2554	96	12	𝜓0𝑦𝑦𝑦𝑦	𝜓0𝑦𝑦𝑦𝑦	PROPN
iajs-2554	96	13	−	−	PROPN
iajs-2554	96	14	(	(	PUNCT
iajs-2554	96	15	𝐻2	𝐻2	PROPN
iajs-2554	96	16	1+𝑚2	1+𝑚2	NUM
iajs-2554	96	17	+	+	CCONJ
iajs-2554	96	18	1	1	NUM
iajs-2554	96	19	𝜅	𝜅	NOUN
iajs-2554	96	20	)	)	PUNCT
iajs-2554	96	21	𝜓0𝑦𝑦	𝜓0𝑦𝑦	PUNCT
iajs-2554	97	1	=	=	SYM
iajs-2554	97	2	0	0	PUNCT
iajs-2554	97	3	(	(	PUNCT
iajs-2554	97	4	30	30	NUM
iajs-2554	97	5	)	)	PUNCT
iajs-2554	97	6	𝜃0𝑦𝑦	𝜃0𝑦𝑦	PUNCT
iajs-2554	98	1	+	+	CCONJ
iajs-2554	98	2	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	98	3	(	(	PUNCT
iajs-2554	98	4	𝜕2𝜓0	𝜕2𝜓0	VERB
iajs-2554	98	5	𝜕𝑦2	𝜕𝑦2	NOUN
iajs-2554	98	6	+	+	CCONJ
iajs-2554	98	7	𝐵𝑛)𝜓0𝑦𝑦	𝐵𝑛)𝜓0𝑦𝑦	NUM
iajs-2554	98	8	+	+	CCONJ
iajs-2554	98	9	𝐻2	𝐻2	PROPN
iajs-2554	98	10	1+𝑚2	1+𝑚2	NUM
iajs-2554	98	11	𝐵𝑟𝜓0𝑦	𝐵𝑟𝜓0𝑦	SYM
iajs-2554	98	12	2	2	NUM
iajs-2554	98	13	=	=	SYM
iajs-2554	98	14	0	0	NUM
iajs-2554	98	15	(	(	PUNCT
iajs-2554	98	16	31	31	NUM
iajs-2554	98	17	)	)	PUNCT
iajs-2554	98	18	now	now	ADV
iajs-2554	98	19	with	with	ADP
iajs-2554	98	20	the	the	DET
iajs-2554	98	21	respect	respect	NOUN
iajs-2554	98	22	to	to	ADP
iajs-2554	98	23	the	the	DET
iajs-2554	98	24	boundary	boundary	ADJ
iajs-2554	98	25	conditions	condition	NOUN
iajs-2554	98	26	,	,	PUNCT
iajs-2554	98	27	we	we	PRON
iajs-2554	98	28	have	have	VERB
iajs-2554	98	29	:	:	PUNCT
iajs-2554	98	30	𝜓0𝑦	𝜓0𝑦	NOUN
iajs-2554	98	31	∓	∓	PROPN
iajs-2554	98	32	𝛾(𝜓0𝑦𝑦	𝛾(𝜓0𝑦𝑦	PUNCT
iajs-2554	99	1	+	+	CCONJ
iajs-2554	99	2	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	99	3	)	)	PUNCT
iajs-2554	99	4	=	=	SYM
iajs-2554	99	5	0	0	PUNCT
iajs-2554	99	6	(	(	PUNCT
iajs-2554	99	7	32	32	NUM
iajs-2554	99	8	)	)	PUNCT
iajs-2554	99	9	𝜃0	𝜃0	VERB
iajs-2554	99	10	∓	∓	NOUN
iajs-2554	99	11	𝛽1𝜃0𝑦	𝛽1𝜃0𝑦	X
iajs-2554	99	12	=	=	SYM
iajs-2554	99	13	0	0	NUM
iajs-2554	99	14	(	(	PUNCT
iajs-2554	99	15	33	33	NUM
iajs-2554	99	16	)	)	PUNCT
iajs-2554	99	17	𝐸1	𝐸1	NOUN
iajs-2554	99	18	𝜕3𝑦	𝜕3𝑦	PROPN
iajs-2554	99	19	𝜕𝑥3	𝜕𝑥3	PROPN
iajs-2554	100	1	+	+	CCONJ
iajs-2554	100	2	𝐸2	𝐸2	ADP
iajs-2554	100	3	𝜕2𝑦	𝜕2𝑦	PRON
iajs-2554	100	4	𝜕𝑥𝜕𝑡2	𝜕𝑥𝜕𝑡2	NOUN
iajs-2554	100	5	+	+	CCONJ
iajs-2554	100	6	𝐸3	𝐸3	NOUN
iajs-2554	100	7	𝜕2𝑦	𝜕2𝑦	PRON
iajs-2554	100	8	𝜕𝑡𝜕𝑥	𝜕𝑡𝜕𝑥	PROPN
iajs-2554	100	9	=	=	SYM
iajs-2554	100	10	𝜓0𝑦𝑦𝑦	𝜓0𝑦𝑦𝑦	PROPN
iajs-2554	101	1	−	−	ADP
iajs-2554	101	2	𝐻2	𝐻2	PROPN
iajs-2554	101	3	1+𝑚2	1+𝑚2	NUM
iajs-2554	101	4	𝜓0𝑦	𝜓0𝑦	NOUN
iajs-2554	101	5	+	+	CCONJ
iajs-2554	101	6	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	101	7	(	(	PUNCT
iajs-2554	101	8	𝐹𝑟)2	𝐹𝑟)2	PROPN
iajs-2554	101	9	𝑠𝑖𝑛𝛼	𝑠𝑖𝑛𝛼	NOUN
iajs-2554	101	10	(	(	PUNCT
iajs-2554	101	11	34	34	NUM
iajs-2554	101	12	)	)	PUNCT
iajs-2554	101	13	𝑎𝑡	𝑎𝑡	ADP
iajs-2554	101	14	𝑦	𝑦	PROPN
iajs-2554	101	15	=	=	SYM
iajs-2554	101	16	ℎ1	ℎ1	PROPN
iajs-2554	101	17	,	,	PUNCT
iajs-2554	101	18	ℎ2	ℎ2	NOUN
iajs-2554	101	19	,	,	PUNCT
iajs-2554	101	20	3.2	3.2	NUM
iajs-2554	101	21	.	.	PUNCT
iajs-2554	102	1	first	first	ADJ
iajs-2554	102	2	order	order	NOUN
iajs-2554	102	3	system	system	NOUN
iajs-2554	102	4	the	the	DET
iajs-2554	102	5	general	general	ADJ
iajs-2554	102	6	form	form	NOUN
iajs-2554	102	7	of	of	ADP
iajs-2554	102	8	firstorder	firstorder	NOUN
iajs-2554	102	9	system	system	NOUN
iajs-2554	102	10	is	be	AUX
iajs-2554	102	11	𝜓1𝑦𝑦𝑦𝑦	𝜓1𝑦𝑦𝑦𝑦	NOUN
iajs-2554	102	12	−	−	PROPN
iajs-2554	102	13	𝑦𝜓0𝑦𝑦𝑦𝑦	𝑦𝜓0𝑦𝑦𝑦𝑦	NOUN
iajs-2554	103	1	−	−	PROPN
iajs-2554	103	2	2𝜓0𝑦𝑦𝑦	2𝜓0𝑦𝑦𝑦	NUM
iajs-2554	104	1	−	−	NOUN
iajs-2554	104	2	(	(	PUNCT
iajs-2554	104	3	𝐻2	𝐻2	PROPN
iajs-2554	104	4	1+𝑚2	1+𝑚2	NUM
iajs-2554	104	5	+	+	CCONJ
iajs-2554	104	6	1	1	NUM
iajs-2554	104	7	𝜅	𝜅	NOUN
iajs-2554	104	8	)	)	PUNCT
iajs-2554	104	9	𝜓1𝑦𝑦	𝜓1𝑦𝑦	X
iajs-2554	104	10	=	=	SYM
iajs-2554	104	11	0	0	NUM
iajs-2554	104	12	(	(	PUNCT
iajs-2554	104	13	35	35	NUM
iajs-2554	104	14	)	)	PUNCT
iajs-2554	104	15	𝜕2𝜃	𝜕2𝜃	NOUN
iajs-2554	104	16	𝜕𝑦2	𝜕𝑦2	NOUN
iajs-2554	104	17	+	+	CCONJ
iajs-2554	104	18	𝐵𝑟(𝜓1𝑦𝑦	𝐵𝑟(𝜓1𝑦𝑦	NOUN
iajs-2554	104	19	−	−	NOUN
iajs-2554	104	20	𝜓0𝑦𝑦)𝜓1𝑦𝑦	𝜓0𝑦𝑦)𝜓1𝑦𝑦	NOUN
iajs-2554	104	21	+	+	CCONJ
iajs-2554	104	22	𝐻2	𝐻2	PROPN
iajs-2554	104	23	1+𝑚2	1+𝑚2	NUM
iajs-2554	104	24	𝐵𝑟𝜓1𝑦	𝐵𝑟𝜓1𝑦	SYM
iajs-2554	104	25	2	2	NUM
iajs-2554	104	26	=	=	SYM
iajs-2554	104	27	0	0	NUM
iajs-2554	104	28	(	(	PUNCT
iajs-2554	104	29	36	36	NUM
iajs-2554	104	30	)	)	PUNCT
iajs-2554	104	31	with	with	ADP
iajs-2554	104	32	the	the	DET
iajs-2554	104	33	respect	respect	NOUN
iajs-2554	104	34	to	to	ADP
iajs-2554	104	35	the	the	DET
iajs-2554	104	36	boundary	boundary	ADJ
iajs-2554	104	37	conditions	condition	NOUN
iajs-2554	104	38	𝜓1𝑦	𝜓1𝑦	ADP
iajs-2554	104	39	∓	∓	NOUN
iajs-2554	104	40	𝛾(𝜓1𝑦𝑦	𝛾(𝜓1𝑦𝑦	NUM
iajs-2554	104	41	−	−	NOUN
iajs-2554	104	42	𝑦𝜓0𝑦𝑦	𝑦𝜓0𝑦𝑦	NOUN
iajs-2554	104	43	)	)	PUNCT
iajs-2554	104	44	=	=	SYM
iajs-2554	104	45	0	0	NUM
iajs-2554	104	46	(	(	PUNCT
iajs-2554	104	47	37	37	NUM
iajs-2554	104	48	)	)	PUNCT
iajs-2554	104	49	𝜃1	𝜃1	VERB
iajs-2554	104	50	∓	∓	NOUN
iajs-2554	104	51	𝛽1𝜃1𝑦	𝛽1𝜃1𝑦	PUNCT
iajs-2554	105	1	=	=	SYM
iajs-2554	105	2	0	0	NUM
iajs-2554	105	3	(	(	PUNCT
iajs-2554	105	4	38	38	NUM
iajs-2554	105	5	)	)	PUNCT
iajs-2554	105	6	𝜓1𝑦𝑦𝑦	𝜓1𝑦𝑦𝑦	NOUN
iajs-2554	105	7	−	−	PROPN
iajs-2554	105	8	𝐻2	𝐻2	NOUN
iajs-2554	105	9	1+𝑚2	1+𝑚2	NUM
iajs-2554	105	10	𝜓1𝑦	𝜓1𝑦	NOUN
iajs-2554	105	11	=	=	SYM
iajs-2554	105	12	0	0	NUM
iajs-2554	105	13	(	(	PUNCT
iajs-2554	105	14	39	39	NUM
iajs-2554	105	15	)	)	PUNCT
iajs-2554	105	16	solving	solve	VERB
iajs-2554	105	17	the	the	DET
iajs-2554	105	18	both	both	DET
iajs-2554	105	19	system	system	NOUN
iajs-2554	105	20	using	use	VERB
iajs-2554	105	21	mathematica	mathematica	PROPN
iajs-2554	105	22	program	program	PROPN
iajs-2554	105	23	,	,	PUNCT
iajs-2554	105	24	we	we	PRON
iajs-2554	105	25	get	get	VERB
iajs-2554	105	26	the	the	DET
iajs-2554	105	27	closed	closed	ADJ
iajs-2554	105	28	form	form	NOUN
iajs-2554	105	29	for	for	ADP
iajs-2554	105	30	𝜓	𝜓	NOUN
iajs-2554	105	31	,	,	PUNCT
iajs-2554	105	32	and	and	CCONJ
iajs-2554	105	33	𝜃	𝜃	PRON
iajs-2554	105	34	𝜓	𝜓	NOUN
iajs-2554	105	35	=	=	SYM
iajs-2554	105	36	1	1	NUM
iajs-2554	105	37	𝑘1	𝑘1	PROPN
iajs-2554	105	38	2	2	NUM
iajs-2554	105	39	(	(	PUNCT
iajs-2554	105	40	𝑐1𝑒	𝑐1𝑒	NOUN
iajs-2554	105	41	𝑘1𝑦	𝑘1𝑦	PROPN
iajs-2554	105	42	+	+	CCONJ
iajs-2554	105	43	𝑐2𝑒	𝑐2𝑒	PROPN
iajs-2554	105	44	−𝑘1𝑦	−𝑘1𝑦	NUM
iajs-2554	105	45	)	)	PUNCT
iajs-2554	105	46	+	+	CCONJ
iajs-2554	105	47	𝑐3	𝑐3	NOUN
iajs-2554	105	48	+	+	CCONJ
iajs-2554	105	49	𝑦𝑐4	𝑦𝑐4	NOUN
iajs-2554	105	50	+	+	CCONJ
iajs-2554	105	51	𝜖	𝜖	PROPN
iajs-2554	105	52	8𝑘1	8𝑘1	NUM
iajs-2554	105	53	3	3	NUM
iajs-2554	105	54	(	(	PUNCT
iajs-2554	105	55	𝐴1	𝐴1	PROPN
iajs-2554	105	56	+	+	CCONJ
iajs-2554	105	57	𝐴2	𝐴2	PROPN
iajs-2554	105	58	+	+	CCONJ
iajs-2554	105	59	8𝑘1(𝐴3	8𝑘1(𝐴3	NOUN
iajs-2554	105	60	+	+	CCONJ
iajs-2554	105	61	𝑘1	𝑘1	PROPN
iajs-2554	105	62	2(𝑐7	2(𝑐7	PROPN
iajs-2554	105	63	+	+	CCONJ
iajs-2554	105	64	𝑦𝑐8	𝑦𝑐8	NOUN
iajs-2554	105	65	)	)	PUNCT
iajs-2554	105	66	)	)	PUNCT
iajs-2554	105	67	,	,	PUNCT
iajs-2554	105	68	𝜃	𝜃	X
iajs-2554	105	69	=	=	PUNCT
iajs-2554	105	70	−	−	PROPN
iajs-2554	105	71	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	105	72	𝑘1	𝑘1	VERB
iajs-2554	105	73	2𝜅	2𝜅	NUM
iajs-2554	105	74	(	(	PUNCT
iajs-2554	105	75	𝐴4	𝐴4	PROPN
iajs-2554	105	76	+	+	CCONJ
iajs-2554	105	77	𝐴5	𝐴5	NOUN
iajs-2554	105	78	+	+	CCONJ
iajs-2554	105	79	𝐴6	𝐴6	PROPN
iajs-2554	105	80	)	)	PUNCT
iajs-2554	106	1	+	+	CCONJ
iajs-2554	107	1	𝑛1	𝑛1	NOUN
iajs-2554	107	2	+	+	CCONJ
iajs-2554	108	1	𝑦𝑛2	𝑦𝑛2	NOUN
iajs-2554	108	2	−	−	PROPN
iajs-2554	108	3	𝜖	𝜖	PROPN
iajs-2554	108	4	3840𝑘16𝜅	3840𝑘16𝜅	NUM
iajs-2554	108	5	𝐵𝑟𝑒−2𝑘1𝑦	𝐵𝑟𝑒−2𝑘1𝑦	NOUN
iajs-2554	108	6	(	(	PUNCT
iajs-2554	108	7	𝐴7	𝐴7	PROPN
iajs-2554	108	8	+	+	CCONJ
iajs-2554	108	9	𝐴8	𝐴8	PROPN
iajs-2554	108	10	+	+	CCONJ
iajs-2554	108	11	𝐴9	𝐴9	NOUN
iajs-2554	108	12	+	+	CCONJ
iajs-2554	109	1	𝐴10	𝐴10	PROPN
iajs-2554	109	2	−	−	PROPN
iajs-2554	110	1	𝐴11	𝐴11	PROPN
iajs-2554	110	2	)	)	PUNCT
iajs-2554	111	1	+	+	CCONJ
iajs-2554	111	2	𝑛3	𝑛3	NOUN
iajs-2554	111	3	+	+	CCONJ
iajs-2554	111	4	𝑦𝑛4	𝑦𝑛4	PROPN
iajs-2554	111	5	,	,	PUNCT
iajs-2554	111	6	where	where	SCONJ
iajs-2554	111	7	74	74	NUM
iajs-2554	111	8	ibn	ibn	PROPN
iajs-2554	111	9	al	al	PROPN
iajs-2554	111	10	-	-	PUNCT
iajs-2554	111	11	haitham	haitham	PROPN
iajs-2554	111	12	jour	jour	X
iajs-2554	111	13	.	.	PROPN
iajs-2554	112	1	for	for	ADP
iajs-2554	112	2	pure	pure	ADJ
iajs-2554	112	3	&	&	CCONJ
iajs-2554	112	4	appl	appl	PROPN
iajs-2554	112	5	.	.	PUNCT
iajs-2554	113	1	sci	sci	PROPN
iajs-2554	113	2	.	.	PROPN
iajs-2554	114	1	34	34	NUM
iajs-2554	114	2	(	(	PUNCT
iajs-2554	114	3	1	1	NUM
iajs-2554	114	4	)	)	PUNCT
iajs-2554	114	5	2021	2021	NUM
iajs-2554	114	6	𝐴1	𝐴1	PROPN
iajs-2554	114	7	=	=	PUNCT
iajs-2554	115	1	𝑐1𝑒	𝑐1𝑒	NOUN
iajs-2554	115	2	𝑘1𝑦(−3	𝑘1𝑦(−3	NUM
iajs-2554	115	3	−	−	NOUN
iajs-2554	115	4	2𝑘1𝑦	2𝑘1𝑦	NOUN
iajs-2554	116	1	+	+	CCONJ
iajs-2554	116	2	2𝑘1	2𝑘1	NUM
iajs-2554	116	3	2𝑦2	2𝑦2	NUM
iajs-2554	116	4	)	)	PUNCT
iajs-2554	116	5	,	,	PUNCT
iajs-2554	116	6	𝐴2	𝐴2	PROPN
iajs-2554	116	7	=	=	SYM
iajs-2554	116	8	𝑐2𝑒	𝑐2𝑒	X
iajs-2554	116	9	−𝑘1𝑦(3	−𝑘1𝑦(3	X
iajs-2554	116	10	−	−	NOUN
iajs-2554	116	11	2𝑘1𝑦	2𝑘1𝑦	NOUN
iajs-2554	116	12	−	−	PROPN
iajs-2554	116	13	2𝑘1	2𝑘1	NUM
iajs-2554	116	14	2𝑦2	2𝑦2	NUM
iajs-2554	116	15	)	)	PUNCT
iajs-2554	116	16	,	,	PUNCT
iajs-2554	116	17	𝐴3	𝐴3	PROPN
iajs-2554	117	1	=	=	PUNCT
iajs-2554	117	2	𝑐5𝑒	𝑐5𝑒	ADJ
iajs-2554	117	3	𝑘1𝑦	𝑘1𝑦	X
iajs-2554	117	4	+	+	CCONJ
iajs-2554	117	5	𝑐6𝑒	𝑐6𝑒	NOUN
iajs-2554	117	6	−𝑘1𝑦	−𝑘1𝑦	NUM
iajs-2554	117	7	,	,	PUNCT
iajs-2554	117	8	𝑘1	𝑘1	NOUN
iajs-2554	117	9	=	=	SYM
iajs-2554	117	10	(	(	PUNCT
iajs-2554	117	11	𝐻2	𝐻2	PROPN
iajs-2554	117	12	1+𝑚2	1+𝑚2	NUM
iajs-2554	117	13	+	+	CCONJ
iajs-2554	117	14	1	1	NUM
iajs-2554	117	15	𝜅	𝜅	X
iajs-2554	117	16	)	)	PUNCT
iajs-2554	117	17	1/2	1/2	NUM
iajs-2554	117	18	,	,	PUNCT
iajs-2554	117	19	𝐴4	𝐴4	NOUN
iajs-2554	117	20	=	=	PUNCT
iajs-2554	117	21	(	(	PUNCT
iajs-2554	117	22	𝑐1𝑐2𝑦	𝑐1𝑐2𝑦	NUM
iajs-2554	117	23	2	2	NUM
iajs-2554	117	24	−	−	NOUN
iajs-2554	117	25	1	1	NUM
iajs-2554	117	26	2	2	NUM
iajs-2554	117	27	𝑐4	𝑐4	NOUN
iajs-2554	117	28	2𝑘1	2𝑘1	NUM
iajs-2554	117	29	2𝑦2	2𝑦2	NUM
iajs-2554	117	30	+	+	CCONJ
iajs-2554	117	31	1	1	NUM
iajs-2554	117	32	2	2	NUM
iajs-2554	117	33	𝑐4	𝑐4	NOUN
iajs-2554	117	34	2𝑘1	2𝑘1	NUM
iajs-2554	117	35	4𝑦2𝜅	4𝑦2𝜅	NOUN
iajs-2554	117	36	)	)	PUNCT
iajs-2554	117	37	,	,	PUNCT
iajs-2554	117	38	𝐴5	𝐴5	NOUN
iajs-2554	117	39	=	=	PUNCT
iajs-2554	117	40	𝑐2	𝑐2	NOUN
iajs-2554	117	41	2𝑒−2𝑘1𝑦(−1	2𝑒−2𝑘1𝑦(−1	NUM
iajs-2554	117	42	+	+	NOUN
iajs-2554	117	43	2𝑘1	2𝑘1	NUM
iajs-2554	117	44	2𝜅	2𝜅	NUM
iajs-2554	117	45	)	)	PUNCT
iajs-2554	117	46	4𝑘1	4𝑘1	NUM
iajs-2554	117	47	2	2	NUM
iajs-2554	117	48	+	+	CCONJ
iajs-2554	117	49	𝑐1	𝑐1	NOUN
iajs-2554	117	50	2𝑒2𝑘1𝑦(−1	2𝑒2𝑘1𝑦(−1	NUM
iajs-2554	117	51	+	+	NOUN
iajs-2554	117	52	2𝑘1	2𝑘1	NUM
iajs-2554	117	53	2𝜅	2𝜅	NUM
iajs-2554	117	54	)	)	PUNCT
iajs-2554	117	55	4𝑘1	4𝑘1	NUM
iajs-2554	117	56	2	2	NUM
iajs-2554	117	57	,	,	PUNCT
iajs-2554	117	58	𝐴6	𝐴6	PROPN
iajs-2554	117	59	=	=	PUNCT
iajs-2554	117	60	𝑐2𝑒−𝑘1𝑦(2𝑐4+𝐵𝑛𝑘1𝜅−2𝑐4𝑘1	𝑐2𝑒−𝑘1𝑦(2𝑐4+𝐵𝑛𝑘1𝜅−2𝑐4𝑘1	VERB
iajs-2554	117	61	2𝜅	2𝜅	NUM
iajs-2554	117	62	)	)	PUNCT
iajs-2554	117	63	𝑘1	𝑘1	PROPN
iajs-2554	117	64	+	+	CCONJ
iajs-2554	117	65	𝑐1𝑒𝑘1𝑦(−2𝑐4+𝐵𝑛𝑘1𝜅+2𝑐4𝑘1	𝑐1𝑒𝑘1𝑦(−2𝑐4+𝐵𝑛𝑘1𝜅+2𝑐4𝑘1	NOUN
iajs-2554	117	66	2𝜅	2𝜅	X
iajs-2554	117	67	)	)	PUNCT
iajs-2554	117	68	𝑘1	𝑘1	PROPN
iajs-2554	117	69	,	,	PUNCT
iajs-2554	117	70	𝐴7	𝐴7	PROPN
iajs-2554	117	71	=	=	PUNCT
iajs-2554	117	72	(	(	PUNCT
iajs-2554	117	73	15𝑐2	15𝑐2	NUM
iajs-2554	117	74	2(−27	2(−27	NUM
iajs-2554	117	75	+	+	NOUN
iajs-2554	117	76	16𝑘1	16𝑘1	NUM
iajs-2554	117	77	5𝑦3𝜅	5𝑦3𝜅	NOUN
iajs-2554	117	78	+	+	CCONJ
iajs-2554	117	79	8𝑘1	8𝑘1	NUM
iajs-2554	117	80	6𝑦4𝜅	6𝑦4𝜅	NUM
iajs-2554	117	81	+	+	CCONJ
iajs-2554	117	82	2𝑘1	2𝑘1	NUM
iajs-2554	117	83	2(2𝑦2	2(2𝑦2	NOUN
iajs-2554	117	84	+	+	CCONJ
iajs-2554	117	85	9𝜅	9𝜅	NUM
iajs-2554	117	86	)	)	PUNCT
iajs-2554	117	87	−	−	NOUN
iajs-2554	118	1	8𝑘1	8𝑘1	NUM
iajs-2554	118	2	3(𝑦3	3(𝑦3	NUM
iajs-2554	118	3	+	+	CCONJ
iajs-2554	118	4	3𝑦𝜅	3𝑦𝜅	ADJ
iajs-2554	118	5	)	)	PUNCT
iajs-2554	119	1	−	−	PROPN
iajs-2554	119	2	4𝑘1	4𝑘1	NUM
iajs-2554	120	1	4(𝑦4	4(𝑦4	NUM
iajs-2554	120	2	+	+	CCONJ
iajs-2554	120	3	4𝑦2𝜅	4𝑦2𝜅	ADJ
iajs-2554	120	4	)	)	PUNCT
iajs-2554	120	5	)	)	PUNCT
iajs-2554	121	1	,	,	PUNCT
iajs-2554	121	2	𝐴8	𝐴8	PROPN
iajs-2554	121	3	=	=	NOUN
iajs-2554	122	1	5(3𝑐1	5(3𝑐1	NUM
iajs-2554	122	2	2𝑒4𝑘1𝑦(−27	2𝑒4𝑘1𝑦(−27	NUM
iajs-2554	122	3	−	−	NUM
iajs-2554	122	4	16𝑘1	16𝑘1	NUM
iajs-2554	122	5	5𝑦3𝜅	5𝑦3𝜅	ADJ
iajs-2554	123	1	+	+	CCONJ
iajs-2554	123	2	8𝑘1	8𝑘1	NUM
iajs-2554	123	3	6𝑦4𝜅	6𝑦4𝜅	NUM
iajs-2554	123	4	+	+	CCONJ
iajs-2554	123	5	2𝑘1	2𝑘1	NUM
iajs-2554	123	6	2(2𝑦2	2(2𝑦2	NOUN
iajs-2554	123	7	+	+	CCONJ
iajs-2554	123	8	9𝜅	9𝜅	NUM
iajs-2554	123	9	)	)	PUNCT
iajs-2554	124	1	+	+	NUM
iajs-2554	124	2	8𝑘1	8𝑘1	NUM
iajs-2554	124	3	3(𝑦3	3(𝑦3	NUM
iajs-2554	124	4	+	+	CCONJ
iajs-2554	124	5	3𝑦𝜅	3𝑦𝜅	ADJ
iajs-2554	124	6	)	)	PUNCT
iajs-2554	125	1	−	−	PROPN
iajs-2554	125	2	4𝑘1	4𝑘1	NUM
iajs-2554	126	1	4(𝑦4	4(𝑦4	NUM
iajs-2554	126	2	+	+	CCONJ
iajs-2554	126	3	4𝑦2𝜅	4𝑦2𝜅	ADJ
iajs-2554	126	4	)	)	PUNCT
iajs-2554	126	5	)	)	PUNCT
iajs-2554	127	1	,	,	PUNCT
iajs-2554	127	2	𝐴9	𝐴9	NOUN
iajs-2554	127	3	=	=	NOUN
iajs-2554	127	4	192𝑘1	192𝑘1	NUM
iajs-2554	127	5	2(𝑐6	2(𝑐6	NOUN
iajs-2554	127	6	2(−1	2(−1	NUM
iajs-2554	127	7	+	+	CCONJ
iajs-2554	127	8	2𝑘1	2𝑘1	NUM
iajs-2554	127	9	2𝜅	2𝜅	NUM
iajs-2554	127	10	)	)	PUNCT
iajs-2554	128	1	+	+	CCONJ
iajs-2554	128	2	4𝑐6𝑒	4𝑐6𝑒	ADJ
iajs-2554	128	3	𝑘1𝑦𝑘1(𝑐5𝑒	𝑘1𝑦𝑘1(𝑐5𝑒	NOUN
iajs-2554	128	4	𝑘1𝑦𝑘1𝑦	𝑘1𝑦𝑘1𝑦	PRON
iajs-2554	128	5	2	2	NUM
iajs-2554	128	6	+	+	X
iajs-2554	128	7	𝑐8(2	𝑐8(2	NOUN
iajs-2554	128	8	−	−	NOUN
iajs-2554	128	9	2𝑘1	2𝑘1	NUM
iajs-2554	128	10	2𝜅	2𝜅	NUM
iajs-2554	128	11	)	)	PUNCT
iajs-2554	128	12	)	)	PUNCT
iajs-2554	129	1	+	+	CCONJ
iajs-2554	129	2	𝑒2𝑘1𝑦(8𝑐5𝑐8𝑒	𝑒2𝑘1𝑦(8𝑐5𝑐8𝑒	NUM
iajs-2554	129	3	𝑘1𝑦𝑘1(−1	𝑘1𝑦𝑘1(−1	NOUN
iajs-2554	129	4	+	+	CCONJ
iajs-2554	129	5	𝑘1	𝑘1	PROPN
iajs-2554	129	6	2𝜅	2𝜅	NUM
iajs-2554	129	7	)	)	PUNCT
iajs-2554	130	1	+	+	CCONJ
iajs-2554	130	2	2𝑐8	2𝑐8	NUM
iajs-2554	130	3	2𝑘1	2𝑘1	NUM
iajs-2554	130	4	4𝑦2(−1	4𝑦2(−1	NOUN
iajs-2554	130	5	+	+	CCONJ
iajs-2554	130	6	𝑘1	𝑘1	PROPN
iajs-2554	130	7	2𝜅	2𝜅	NUM
iajs-2554	130	8	)	)	PUNCT
iajs-2554	131	1	+	+	CCONJ
iajs-2554	131	2	𝑐5	𝑐5	ADJ
iajs-2554	131	3	2𝑒2𝑘1𝑦(−1	2𝑒2𝑘1𝑦(−1	NUM
iajs-2554	131	4	+	+	NUM
iajs-2554	131	5	2𝑘1	2𝑘1	NUM
iajs-2554	131	6	2𝜅	2𝜅	NUM
iajs-2554	131	7	)	)	PUNCT
iajs-2554	131	8	)	)	PUNCT
iajs-2554	131	9	)	)	PUNCT
iajs-2554	131	10	,	,	PUNCT
iajs-2554	131	11	𝐴10	𝐴10	PROPN
iajs-2554	131	12	=	=	PUNCT
iajs-2554	132	1	32𝑐1𝑒	32𝑐1𝑒	NUM
iajs-2554	132	2	2𝑘1𝑦𝑘1(3𝑐5𝑒	2𝑘1𝑦𝑘1(3𝑐5𝑒	NUM
iajs-2554	132	3	2𝑘1𝑦(2	2𝑘1𝑦(2	NUM
iajs-2554	133	1	+	+	NUM
iajs-2554	133	2	𝑘1𝑦	𝑘1𝑦	PRON
iajs-2554	134	1	−	−	NOUN
iajs-2554	135	1	2𝑘13𝑦𝜅	2𝑘13𝑦𝜅	NUM
iajs-2554	135	2	+	+	CCONJ
iajs-2554	135	3	2𝑘1	2𝑘1	NUM
iajs-2554	136	1	4𝑦2𝜅	4𝑦2𝜅	NOUN
iajs-2554	136	2	−	−	PROPN
iajs-2554	136	3	𝑘1	𝑘1	NOUN
iajs-2554	136	4	2(𝑦2	2(𝑦2	NUM
iajs-2554	136	5	+	+	CCONJ
iajs-2554	136	6	3𝜅	3𝜅	NUM
iajs-2554	136	7	)	)	PUNCT
iajs-2554	136	8	)	)	PUNCT
iajs-2554	137	1	+	+	CCONJ
iajs-2554	137	2	𝑘1(6𝑐8𝑒	𝑘1(6𝑐8𝑒	PROPN
iajs-2554	137	3	𝑘1𝑦(3	𝑘1𝑦(3	PROPN
iajs-2554	137	4	−	−	NOUN
iajs-2554	137	5	6𝑘1𝑦	6𝑘1𝑦	NOUN
iajs-2554	138	1	+	+	CCONJ
iajs-2554	138	2	2𝑘1	2𝑘1	NUM
iajs-2554	138	3	2𝑦2)(−1	2𝑦2)(−1	NUM
iajs-2554	138	4	+	+	CCONJ
iajs-2554	138	5	𝑘1	𝑘1	PROPN
iajs-2554	138	6	2𝜅	2𝜅	NUM
iajs-2554	138	7	)	)	PUNCT
iajs-2554	139	1	+	+	NUM
iajs-2554	139	2	𝑐6𝑘1𝑦	𝑐6𝑘1𝑦	NUM
iajs-2554	139	3	2(−15	2(−15	NUM
iajs-2554	139	4	+	+	NUM
iajs-2554	139	5	2𝑘1𝑦	2𝑘1𝑦	NOUN
iajs-2554	139	6	+	+	CCONJ
iajs-2554	139	7	𝑘1	𝑘1	ADJ
iajs-2554	139	8	2(𝑦2	2(𝑦2	NUM
iajs-2554	139	9	+	+	NOUN
iajs-2554	139	10	6𝜅	6𝜅	NOUN
iajs-2554	139	11	)	)	PUNCT
iajs-2554	139	12	)	)	PUNCT
iajs-2554	139	13	)	)	PUNCT
iajs-2554	139	14	)	)	PUNCT
iajs-2554	139	15	)	)	PUNCT
iajs-2554	139	16	,	,	PUNCT
iajs-2554	140	1	𝐴11	𝐴11	PROPN
iajs-2554	140	2	=	=	PUNCT
iajs-2554	140	3	4𝑐2𝑘1(120𝑐6(2	4𝑐2𝑘1(120𝑐6(2	NUM
iajs-2554	140	4	−	−	ADJ
iajs-2554	140	5	𝑘1𝑦	𝑘1𝑦	NOUN
iajs-2554	140	6	+	+	CCONJ
iajs-2554	140	7	2𝑘1	2𝑘1	NUM
iajs-2554	140	8	3𝑦𝜅	3𝑦𝜅	NOUN
iajs-2554	140	9	+	+	CCONJ
iajs-2554	141	1	2𝑘1	2𝑘1	NUM
iajs-2554	141	2	4𝑦2𝜅	4𝑦2𝜅	NOUN
iajs-2554	141	3	−	−	PROPN
iajs-2554	141	4	𝑘1	𝑘1	NOUN
iajs-2554	141	5	2(𝑦2	2(𝑦2	NUM
iajs-2554	141	6	+	+	CCONJ
iajs-2554	141	7	3𝜅	3𝜅	NUM
iajs-2554	141	8	)	)	PUNCT
iajs-2554	141	9	)	)	PUNCT
iajs-2554	142	1	+	+	CCONJ
iajs-2554	142	2	𝑒𝑘1𝑦𝑘1(−240𝑐8(3	𝑒𝑘1𝑦𝑘1(−240𝑐8(3	PROPN
iajs-2554	142	3	+	+	NUM
iajs-2554	142	4	6𝑘1𝑦	6𝑘1𝑦	NOUN
iajs-2554	142	5	+	+	X
iajs-2554	142	6	2𝑘1	2𝑘1	NUM
iajs-2554	142	7	2𝑦2)(−1	2𝑦2)(−1	NUM
iajs-2554	143	1	+	+	CCONJ
iajs-2554	143	2	𝑘1	𝑘1	PROPN
iajs-2554	143	3	2𝜅	2𝜅	NUM
iajs-2554	143	4	)	)	PUNCT
iajs-2554	144	1	+	+	CCONJ
iajs-2554	144	2	𝑒𝑘1𝑦𝑦2(40𝑐5𝑘1(−15	𝑒𝑘1𝑦𝑦2(40𝑐5𝑘1(−15	PRON
iajs-2554	144	3	−	−	NOUN
iajs-2554	144	4	2𝑘1𝑦	2𝑘1𝑦	NOUN
iajs-2554	144	5	+	+	CCONJ
iajs-2554	144	6	𝑘1	𝑘1	ADJ
iajs-2554	144	7	2(𝑦2	2(𝑦2	NUM
iajs-2554	144	8	+	+	NOUN
iajs-2554	144	9	6𝜅	6𝜅	NOUN
iajs-2554	144	10	)	)	PUNCT
iajs-2554	144	11	)	)	PUNCT
iajs-2554	145	1	+	+	CCONJ
iajs-2554	145	2	𝑐1(375	𝑐1(375	PRON
iajs-2554	145	3	−	−	NUM
iajs-2554	145	4	60𝑘1	60𝑘1	NUM
iajs-2554	145	5	2(𝑦2	2(𝑦2	NUM
iajs-2554	145	6	+	+	NUM
iajs-2554	145	7	4𝜅	4𝜅	NOUN
iajs-2554	145	8	)	)	PUNCT
iajs-2554	146	1	+	+	CCONJ
iajs-2554	147	1	4𝑘1	4𝑘1	NUM
iajs-2554	147	2	4(𝑦4	4(𝑦4	NUM
iajs-2554	147	3	+	+	CCONJ
iajs-2554	147	4	15𝑦2𝜅	15𝑦2𝜅	NUM
iajs-2554	147	5	)	)	PUNCT
iajs-2554	147	6	)	)	PUNCT
iajs-2554	147	7	)	)	PUNCT
iajs-2554	147	8	,	,	PUNCT
iajs-2554	147	9	where	where	SCONJ
iajs-2554	147	10	𝑐1	𝑐1	NOUN
iajs-2554	147	11	,	,	PUNCT
iajs-2554	147	12	𝑐2	𝑐2	NOUN
iajs-2554	147	13	,	,	PUNCT
iajs-2554	147	14	𝑐3	𝑐3	NOUN
iajs-2554	147	15	,	,	PUNCT
iajs-2554	147	16	𝑐4	𝑐4	NOUN
iajs-2554	147	17	,	,	PUNCT
iajs-2554	147	18	𝑐5	𝑐5	NOUN
iajs-2554	147	19	,	,	PUNCT
iajs-2554	147	20	𝑐6	𝑐6	PROPN
iajs-2554	147	21	,	,	PUNCT
iajs-2554	147	22	𝑐7	𝑐7	PROPN
iajs-2554	147	23	,	,	PUNCT
iajs-2554	147	24	𝑐8	𝑐8	NOUN
iajs-2554	147	25	,	,	PUNCT
iajs-2554	147	26	𝑛1	𝑛1	NOUN
iajs-2554	147	27	,	,	PUNCT
iajs-2554	147	28	𝑛2	𝑛2	NOUN
iajs-2554	147	29	,	,	PUNCT
iajs-2554	147	30	𝑛3	𝑛3	NOUN
iajs-2554	147	31	,	,	PUNCT
iajs-2554	147	32	𝑛4,can	𝑛4,can	ADJ
iajs-2554	147	33	be	be	AUX
iajs-2554	147	34	found	find	VERB
iajs-2554	147	35	using	use	VERB
iajs-2554	147	36	simple	simple	ADJ
iajs-2554	147	37	calculations	calculation	NOUN
iajs-2554	147	38	.	.	PUNCT
iajs-2554	148	1	4	4	X
iajs-2554	148	2	.	.	NOUN
iajs-2554	148	3	result	result	NOUN
iajs-2554	148	4	and	and	CCONJ
iajs-2554	148	5	discussions	discussion	NOUN
iajs-2554	148	6	in	in	ADP
iajs-2554	148	7	this	this	DET
iajs-2554	148	8	section	section	NOUN
iajs-2554	148	9	we	we	PRON
iajs-2554	148	10	visualize	visualize	VERB
iajs-2554	148	11	graphically	graphically	ADV
iajs-2554	148	12	the	the	DET
iajs-2554	148	13	influence	influence	NOUN
iajs-2554	148	14	of	of	ADP
iajs-2554	148	15	different	different	ADJ
iajs-2554	148	16	inclusive	inclusive	ADJ
iajs-2554	148	17	parameters	parameter	NOUN
iajs-2554	148	18	on	on	ADP
iajs-2554	148	19	velocity	velocity	NOUN
iajs-2554	148	20	profile	profile	NOUN
iajs-2554	148	21	,	,	PUNCT
iajs-2554	148	22	temperature	temperature	NOUN
iajs-2554	148	23	distribution	distribution	NOUN
iajs-2554	148	24	,	,	PUNCT
iajs-2554	148	25	heat	heat	NOUN
iajs-2554	148	26	transfer	transfer	NOUN
iajs-2554	148	27	coefficient	coefficient	NOUN
iajs-2554	148	28	and	and	CCONJ
iajs-2554	148	29	trapping	trap	VERB
iajs-2554	148	30	phenomenon	phenomenon	NOUN
iajs-2554	148	31	.	.	PUNCT
iajs-2554	149	1	4.1	4.1	NUM
iajs-2554	149	2	.	.	PUNCT
iajs-2554	149	3	velocity	velocity	NOUN
iajs-2554	149	4	profile	profile	PROPN
iajs-2554	149	5	figures	figure	NOUN
iajs-2554	149	6	1	1	NUM
iajs-2554	149	7	-	-	SYM
iajs-2554	149	8	3	3	NUM
iajs-2554	149	9	elucidate	elucidate	VERB
iajs-2554	149	10	the	the	DET
iajs-2554	149	11	behavior	behavior	NOUN
iajs-2554	149	12	of	of	ADP
iajs-2554	149	13	velocity	velocity	NOUN
iajs-2554	149	14	profile	profile	NOUN
iajs-2554	149	15	against	against	ADP
iajs-2554	149	16	the	the	DET
iajs-2554	149	17	following	follow	VERB
iajs-2554	149	18	various	various	ADJ
iajs-2554	149	19	important	important	ADJ
iajs-2554	149	20	parameters	parameter	NOUN
iajs-2554	149	21	(	(	PUNCT
iajs-2554	149	22	𝐸1	𝐸1	NOUN
iajs-2554	149	23	,	,	PUNCT
iajs-2554	149	24	𝐸2	𝐸2	ADJ
iajs-2554	149	25	,	,	PUNCT
iajs-2554	149	26	𝐸3	𝐸3	PROPN
iajs-2554	149	27	𝜅,𝑚,𝐻	𝜅,𝑚,𝐻	PROPN
iajs-2554	149	28	,	,	PUNCT
iajs-2554	149	29	𝜙	𝜙	NOUN
iajs-2554	149	30	)	)	PUNCT
iajs-2554	149	31	and	and	CCONJ
iajs-2554	149	32	for	for	ADP
iajs-2554	149	33	fixed	fix	VERB
iajs-2554	149	34	values	value	NOUN
iajs-2554	149	35	of	of	ADP
iajs-2554	149	36	(	(	PUNCT
iajs-2554	149	37	𝜖	𝜖	X
iajs-2554	149	38	=	=	NOUN
iajs-2554	149	39	0.04	0.04	NUM
iajs-2554	149	40	,	,	PUNCT
iajs-2554	149	41	fr	fr	NOUN
iajs-2554	149	42	=	=	NUM
iajs-2554	149	43	0.8	0.8	NUM
iajs-2554	149	44	,	,	PUNCT
iajs-2554	149	45	re	re	ADP
iajs-2554	149	46	=	=	NOUN
iajs-2554	149	47	0.2	0.2	NUM
iajs-2554	149	48	,	,	PUNCT
iajs-2554	149	49	𝛼	𝛼	NOUN
iajs-2554	149	50	=	=	NOUN
iajs-2554	149	51	pi	pi	NOUN
iajs-2554	149	52	2	2	NUM
iajs-2554	149	53	,	,	PUNCT
iajs-2554	149	54	𝛾	𝛾	PROPN
iajs-2554	149	55	=	=	SYM
iajs-2554	149	56	0.7	0.7	NUM
iajs-2554	149	57	,	,	PUNCT
iajs-2554	149	58	𝑡	𝑡	X
iajs-2554	149	59	=	=	NOUN
iajs-2554	149	60	0.1	0.1	NUM
iajs-2554	149	61	,	,	PUNCT
iajs-2554	149	62	d1	d1	PROPN
iajs-2554	149	63	=	=	SYM
iajs-2554	149	64	0.4	0.4	NUM
iajs-2554	149	65	,	,	PUNCT
iajs-2554	149	66	d2	d2	PROPN
iajs-2554	149	67	=	=	PROPN
iajs-2554	149	68	0.4	0.4	NUM
iajs-2554	149	69	,	,	PUNCT
iajs-2554	149	70	𝑥	𝑥	NOUN
iajs-2554	149	71	=	=	SYM
iajs-2554	149	72	0.4,𝑚1	0.4,𝑚1	X
iajs-2554	149	73	=	=	SYM
iajs-2554	149	74	0.1	0.1	NUM
iajs-2554	149	75	)	)	PUNCT
iajs-2554	149	76	.	.	PUNCT
iajs-2554	150	1	fig.1	fig.1	PROPN
iajs-2554	150	2	(	(	PUNCT
iajs-2554	150	3	a	a	NOUN
iajs-2554	150	4	)	)	PUNCT
iajs-2554	150	5	is	be	AUX
iajs-2554	150	6	plotted	plot	VERB
iajs-2554	150	7	to	to	PART
iajs-2554	150	8	describe	describe	VERB
iajs-2554	150	9	the	the	DET
iajs-2554	150	10	effect	effect	NOUN
iajs-2554	150	11	of	of	ADP
iajs-2554	150	12	wall	wall	PROPN
iajs-2554	150	13	elasticity	elasticity	PROPN
iajs-2554	150	14	parameters	parameter	NOUN
iajs-2554	150	15	on	on	ADP
iajs-2554	150	16	velocity	velocity	NOUN
iajs-2554	150	17	profile	profile	NOUN
iajs-2554	150	18	.	.	PUNCT
iajs-2554	151	1	one	one	PRON
iajs-2554	151	2	can	can	AUX
iajs-2554	151	3	conclude	conclude	VERB
iajs-2554	151	4	a	a	DET
iajs-2554	151	5	significant	significant	ADJ
iajs-2554	151	6	increase	increase	NOUN
iajs-2554	151	7	upon	upon	SCONJ
iajs-2554	151	8	enhancement	enhancement	NOUN
iajs-2554	151	9	of	of	ADP
iajs-2554	151	10	wall	wall	NOUN
iajs-2554	151	11	rigidity	rigidity	NOUN
iajs-2554	151	12	and	and	CCONJ
iajs-2554	151	13	tension	tension	NOUN
iajs-2554	151	14	parameters	parameter	NOUN
iajs-2554	151	15	respectively	respectively	ADV
iajs-2554	151	16	𝐸1	𝐸1	NOUN
iajs-2554	151	17	,	,	PUNCT
iajs-2554	151	18	𝐸2	𝐸2	ADJ
iajs-2554	151	19	whereas	whereas	SCONJ
iajs-2554	151	20	the	the	DET
iajs-2554	151	21	velocity	velocity	NOUN
iajs-2554	151	22	profile	profile	NOUN
iajs-2554	151	23	slightly	slightly	ADV
iajs-2554	151	24	rises	rise	VERB
iajs-2554	151	25	as	as	ADP
iajs-2554	151	26	mass	mass	ADJ
iajs-2554	151	27	characterization	characterization	NOUN
iajs-2554	151	28	parameter	parameter	NOUN
iajs-2554	151	29	𝐸3	𝐸3	NOUN
iajs-2554	151	30	increase	increase	NOUN
iajs-2554	151	31	.	.	PUNCT
iajs-2554	152	1	similar	similar	ADJ
iajs-2554	152	2	observation	observation	NOUN
iajs-2554	152	3	is	be	AUX
iajs-2554	152	4	seen	see	VERB
iajs-2554	152	5	for	for	ADP
iajs-2554	152	6	enhanced	enhanced	ADJ
iajs-2554	152	7	values	value	NOUN
iajs-2554	152	8	of	of	ADP
iajs-2554	152	9	permeability	permeability	NOUN
iajs-2554	152	10	parameter	parameter	NOUN
iajs-2554	152	11	𝜅	𝜅	NOUN
iajs-2554	152	12	and	and	CCONJ
iajs-2554	152	13	hall	hall	NOUN
iajs-2554	152	14	number	number	NOUN
iajs-2554	152	15	𝑚	𝑚	NOUN
iajs-2554	152	16	on	on	ADP
iajs-2554	152	17	velocity	velocity	NOUN
iajs-2554	152	18	curve	curve	NOUN
iajs-2554	152	19	i.e.	i.e.	X
iajs-2554	152	20	𝑢(𝑦	𝑢(𝑦	NOUN
iajs-2554	152	21	)	)	PUNCT
iajs-2554	152	22	is	be	AUX
iajs-2554	152	23	increasing	increase	VERB
iajs-2554	152	24	and	and	CCONJ
iajs-2554	152	25	these	these	DET
iajs-2554	152	26	results	result	NOUN
iajs-2554	152	27	are	be	AUX
iajs-2554	152	28	shown	show	VERB
iajs-2554	152	29	in	in	ADP
iajs-2554	152	30	figure	figure	NOUN
iajs-2554	152	31	1(b	1(b	NUM
iajs-2554	152	32	)	)	PUNCT
iajs-2554	152	33	and	and	CCONJ
iajs-2554	152	34	figure	figure	VERB
iajs-2554	152	35	2	2	NUM
iajs-2554	152	36	(	(	PUNCT
iajs-2554	152	37	a	a	NOUN
iajs-2554	152	38	)	)	PUNCT
iajs-2554	152	39	.	.	PUNCT
iajs-2554	153	1	a	a	DET
iajs-2554	153	2	reversed	reverse	VERB
iajs-2554	153	3	situation	situation	NOUN
iajs-2554	153	4	for	for	ADP
iajs-2554	153	5	the	the	DET
iajs-2554	153	6	larger	large	ADJ
iajs-2554	153	7	magnitude	magnitude	NOUN
iajs-2554	153	8	of	of	ADP
iajs-2554	153	9	both	both	CCONJ
iajs-2554	153	10	hartman	hartman	PROPN
iajs-2554	153	11	number	number	NOUN
iajs-2554	153	12	75	75	NUM
iajs-2554	153	13	ibn	ibn	PROPN
iajs-2554	153	14	al	al	PROPN
iajs-2554	153	15	-	-	PUNCT
iajs-2554	153	16	haitham	haitham	PROPN
iajs-2554	153	17	jour	jour	X
iajs-2554	153	18	.	.	PROPN
iajs-2554	153	19	for	for	ADP
iajs-2554	153	20	pure	pure	ADJ
iajs-2554	153	21	&	&	CCONJ
iajs-2554	153	22	appl	appl	PROPN
iajs-2554	153	23	.	.	PUNCT
iajs-2554	154	1	sci	sci	PROPN
iajs-2554	154	2	.	.	PROPN
iajs-2554	155	1	34	34	NUM
iajs-2554	155	2	(	(	PUNCT
iajs-2554	155	3	1	1	NUM
iajs-2554	155	4	)	)	PUNCT
iajs-2554	155	5	2021	2021	NUM
iajs-2554	156	1	𝐻	𝐻	PROPN
iajs-2554	156	2	and	and	CCONJ
iajs-2554	156	3	bingham	bingham	PROPN
iajs-2554	156	4	number	number	NOUN
iajs-2554	156	5	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	156	6	are	be	AUX
iajs-2554	156	7	shown	show	VERB
iajs-2554	156	8	in	in	ADP
iajs-2554	156	9	figure	figure	NOUN
iajs-2554	156	10	2	2	NUM
iajs-2554	156	11	(	(	PUNCT
iajs-2554	156	12	b	b	NOUN
iajs-2554	156	13	)	)	PUNCT
iajs-2554	156	14	and	and	CCONJ
iajs-2554	156	15	figure	figure	VERB
iajs-2554	156	16	3	3	NUM
iajs-2554	156	17	(	(	PUNCT
iajs-2554	156	18	a	a	NOUN
iajs-2554	156	19	)	)	PUNCT
iajs-2554	156	20	.	.	PUNCT
iajs-2554	157	1	from	from	ADP
iajs-2554	157	2	figure	figure	NOUN
iajs-2554	157	3	3	3	NUM
iajs-2554	157	4	(	(	PUNCT
iajs-2554	157	5	b	b	NOUN
iajs-2554	157	6	)	)	PUNCT
iajs-2554	157	7	,	,	PUNCT
iajs-2554	157	8	we	we	PRON
iajs-2554	157	9	notice	notice	VERB
iajs-2554	157	10	that	that	SCONJ
iajs-2554	157	11	the	the	DET
iajs-2554	157	12	velocity	velocity	NOUN
iajs-2554	157	13	profile	profile	NOUN
iajs-2554	157	14	enhances	enhance	VERB
iajs-2554	157	15	for	for	ADP
iajs-2554	157	16	higher	high	ADJ
iajs-2554	157	17	values	value	NOUN
iajs-2554	157	18	of	of	ADP
iajs-2554	157	19	phase	phase	NOUN
iajs-2554	157	20	difference	difference	NOUN
iajs-2554	157	21	parameter	parameter	NOUN
iajs-2554	157	22	𝜙.	𝜙.	NOUN
iajs-2554	157	23	1	1	NUM
iajs-2554	157	24	.	.	PUNCT
iajs-2554	157	25	(	(	PUNCT
iajs-2554	157	26	b	b	X
iajs-2554	157	27	)	)	PUNCT
iajs-2554	157	28	figure	figure	NOUN
iajs-2554	157	29	1	1	NUM
iajs-2554	157	30	:	:	PUNCT
iajs-2554	157	31	velocity	velocity	NOUN
iajs-2554	157	32	profile	profile	NOUN
iajs-2554	157	33	for	for	ADP
iajs-2554	157	34	different	different	ADJ
iajs-2554	157	35	values	value	NOUN
iajs-2554	157	36	of	of	ADP
iajs-2554	157	37	(	(	PUNCT
iajs-2554	157	38	a	a	PRON
iajs-2554	157	39	)	)	PUNCT
iajs-2554	157	40	elasticity	elasticity	NOUN
iajs-2554	157	41	parameters	parameter	NOUN
iajs-2554	157	42	𝐸1	𝐸1	VERB
iajs-2554	157	43	,	,	PUNCT
iajs-2554	157	44	𝐸2	𝐸2	ADJ
iajs-2554	157	45	,	,	PUNCT
iajs-2554	157	46	𝐸3	𝐸3	NOUN
iajs-2554	157	47	(	(	PUNCT
iajs-2554	157	48	b	b	NOUN
iajs-2554	157	49	)	)	PUNCT
iajs-2554	157	50	permeability	permeability	NOUN
iajs-2554	157	51	parameter	parameter	NOUN
iajs-2554	157	52	𝜅.	𝜅.	NOUN
iajs-2554	157	53	(	(	PUNCT
iajs-2554	157	54	a	a	NOUN
iajs-2554	157	55	)	)	PUNCT
iajs-2554	157	56	(	(	PUNCT
iajs-2554	157	57	b	b	X
iajs-2554	157	58	)	)	PUNCT
iajs-2554	157	59	figure	figure	NOUN
iajs-2554	157	60	2	2	NUM
iajs-2554	157	61	:	:	PUNCT
iajs-2554	157	62	velocity	velocity	NOUN
iajs-2554	157	63	profile	profile	NOUN
iajs-2554	157	64	for	for	ADP
iajs-2554	157	65	different	different	ADJ
iajs-2554	157	66	values	value	NOUN
iajs-2554	157	67	of	of	ADP
iajs-2554	157	68	(	(	PUNCT
iajs-2554	157	69	a	a	PRON
iajs-2554	157	70	)	)	PUNCT
iajs-2554	157	71	hall	hall	NOUN
iajs-2554	157	72	number	number	NOUN
iajs-2554	157	73	𝑚	𝑚	PROPN
iajs-2554	157	74	(	(	PUNCT
iajs-2554	157	75	b	b	NOUN
iajs-2554	157	76	)	)	PUNCT
iajs-2554	157	77	hartman	hartman	PROPN
iajs-2554	157	78	number	number	NOUN
iajs-2554	157	79	𝐻	𝐻	PROPN
iajs-2554	157	80	,	,	PUNCT
iajs-2554	157	81	(	(	PUNCT
iajs-2554	157	82	a	a	X
iajs-2554	157	83	)	)	PUNCT
iajs-2554	157	84	(	(	PUNCT
iajs-2554	157	85	b	b	X
iajs-2554	157	86	)	)	PUNCT
iajs-2554	157	87	figure	figure	NOUN
iajs-2554	157	88	3	3	NUM
iajs-2554	157	89	:	:	PUNCT
iajs-2554	157	90	velocity	velocity	NOUN
iajs-2554	157	91	profile	profile	NOUN
iajs-2554	157	92	for	for	ADP
iajs-2554	157	93	different	different	ADJ
iajs-2554	157	94	values	value	NOUN
iajs-2554	157	95	of	of	ADP
iajs-2554	157	96	(	(	PUNCT
iajs-2554	157	97	a	a	X
iajs-2554	157	98	)	)	PUNCT
iajs-2554	157	99	bingham	bingham	PROPN
iajs-2554	157	100	number	number	NOUN
iajs-2554	157	101	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	157	102	(	(	PUNCT
iajs-2554	157	103	b	b	NOUN
iajs-2554	157	104	)	)	PUNCT
iajs-2554	157	105	phase	phase	NOUN
iajs-2554	157	106	difference	difference	NOUN
iajs-2554	157	107	parameter	parameter	NOUN
iajs-2554	157	108	𝜙.	𝜙.	NOUN
iajs-2554	157	109	e1	e1	PROPN
iajs-2554	157	110	0.1	0.1	NUM
iajs-2554	157	111	,	,	PUNCT
iajs-2554	157	112	e2	e2	PROPN
iajs-2554	157	113	0.2	0.2	NUM
iajs-2554	157	114	,	,	PUNCT
iajs-2554	157	115	e3	e3	VERB
iajs-2554	157	116	0.3	0.3	NUM
iajs-2554	157	117	e1	e1	NOUN
iajs-2554	157	118	0.2	0.2	NUM
iajs-2554	157	119	,	,	PUNCT
iajs-2554	157	120	e2	e2	PROPN
iajs-2554	157	121	0.2	0.2	NUM
iajs-2554	157	122	,	,	PUNCT
iajs-2554	157	123	e3	e3	VERB
iajs-2554	157	124	0.3	0.3	NUM
iajs-2554	157	125	e1	e1	NOUN
iajs-2554	157	126	0.1	0.1	NUM
iajs-2554	157	127	,	,	PUNCT
iajs-2554	157	128	e2	e2	PROPN
iajs-2554	157	129	0.4	0.4	NUM
iajs-2554	157	130	,	,	PUNCT
iajs-2554	157	131	e3	e3	VERB
iajs-2554	157	132	0.3	0.3	NUM
iajs-2554	157	133	e1	e1	NOUN
iajs-2554	157	134	0.1	0.1	NUM
iajs-2554	157	135	,	,	PUNCT
iajs-2554	157	136	e2	e2	PROPN
iajs-2554	157	137	0.2	0.2	NUM
iajs-2554	157	138	,	,	PUNCT
iajs-2554	157	139	e3	e3	VERB
iajs-2554	157	140	0.6	0.6	NUM
iajs-2554	157	141	0.0	0.0	NUM
iajs-2554	157	142	0.5	0.5	NUM
iajs-2554	157	143	1.0	1.0	NUM
iajs-2554	157	144	1.5	1.5	NUM
iajs-2554	157	145	2.0	2.0	NUM
iajs-2554	157	146	0	0	NUM
iajs-2554	157	147	5	5	NUM
iajs-2554	157	148	10	10	NUM
iajs-2554	157	149	15	15	NUM
iajs-2554	157	150	y	y	PROPN
iajs-2554	157	151	u	u	NOUN
iajs-2554	157	152	y	y	PROPN
iajs-2554	157	153	1.4	1.4	NUM
iajs-2554	157	154	1.6	1.6	NUM
iajs-2554	157	155	1.8	1.8	NUM
iajs-2554	157	156	2	2	NUM
iajs-2554	157	157	0.0	0.0	NUM
iajs-2554	157	158	0.5	0.5	NUM
iajs-2554	157	159	1.0	1.0	NUM
iajs-2554	157	160	1.5	1.5	NUM
iajs-2554	157	161	2.0	2.0	NUM
iajs-2554	157	162	0	0	NUM
iajs-2554	157	163	5	5	NUM
iajs-2554	157	164	10	10	NUM
iajs-2554	157	165	15	15	NUM
iajs-2554	157	166	20	20	NUM
iajs-2554	157	167	y	y	PROPN
iajs-2554	157	168	u	u	NOUN
iajs-2554	157	169	y	y	PROPN
iajs-2554	157	170	m	m	VERB
iajs-2554	157	171	0.2	0.2	NUM
iajs-2554	157	172	m	m	VERB
iajs-2554	157	173	0.4	0.4	NUM
iajs-2554	157	174	m	m	NUM
iajs-2554	157	175	0.6	0.6	NUM
iajs-2554	157	176	m	m	NOUN
iajs-2554	157	177	0.8	0.8	NUM
iajs-2554	157	178	0.0	0.0	NUM
iajs-2554	157	179	0.5	0.5	NUM
iajs-2554	157	180	1.0	1.0	NUM
iajs-2554	157	181	1.5	1.5	NUM
iajs-2554	157	182	2.0	2.0	NUM
iajs-2554	157	183	0	0	NUM
iajs-2554	157	184	5	5	NUM
iajs-2554	157	185	10	10	NUM
iajs-2554	157	186	15	15	NUM
iajs-2554	157	187	20	20	NUM
iajs-2554	157	188	y	y	PROPN
iajs-2554	157	189	u	u	NOUN
iajs-2554	158	1	y	y	PROPN
iajs-2554	158	2	h	h	PROPN
iajs-2554	158	3	1.6	1.6	NUM
iajs-2554	158	4	h	h	NOUN
iajs-2554	158	5	1.8	1.8	NUM
iajs-2554	158	6	h	h	NOUN
iajs-2554	158	7	2	2	NUM
iajs-2554	158	8	h	h	NOUN
iajs-2554	158	9	1.4	1.4	NUM
iajs-2554	158	10	0.0	0.0	NUM
iajs-2554	158	11	0.5	0.5	NUM
iajs-2554	158	12	1.0	1.0	NUM
iajs-2554	158	13	1.5	1.5	NUM
iajs-2554	158	14	2.0	2.0	NUM
iajs-2554	158	15	0	0	NUM
iajs-2554	158	16	5	5	NUM
iajs-2554	158	17	10	10	NUM
iajs-2554	158	18	15	15	NUM
iajs-2554	158	19	20	20	NUM
iajs-2554	158	20	y	y	PROPN
iajs-2554	158	21	u	u	NOUN
iajs-2554	158	22	y	y	PROPN
iajs-2554	158	23	bn	bn	PROPN
iajs-2554	158	24	0.2	0.2	NUM
iajs-2554	158	25	bn	bn	NUM
iajs-2554	158	26	0.4	0.4	NUM
iajs-2554	158	27	bn	bn	NOUN
iajs-2554	158	28	0.6	0.6	NUM
iajs-2554	158	29	bn	bn	NOUN
iajs-2554	158	30	0.8	0.8	NUM
iajs-2554	158	31	0.0	0.0	NUM
iajs-2554	158	32	0.5	0.5	NUM
iajs-2554	158	33	1.0	1.0	NUM
iajs-2554	158	34	1.5	1.5	NUM
iajs-2554	158	35	2.0	2.0	NUM
iajs-2554	158	36	0	0	NUM
iajs-2554	158	37	5	5	NUM
iajs-2554	158	38	10	10	NUM
iajs-2554	158	39	15	15	NUM
iajs-2554	158	40	20	20	NUM
iajs-2554	158	41	y	y	PROPN
iajs-2554	158	42	u	u	NOUN
iajs-2554	158	43	y	y	PROPN
iajs-2554	158	44	6	6	NUM
iajs-2554	158	45	4	4	NUM
iajs-2554	158	46	3	3	NUM
iajs-2554	158	47	2	2	NUM
iajs-2554	158	48	0.0	0.0	NUM
iajs-2554	158	49	0.5	0.5	NUM
iajs-2554	158	50	1.0	1.0	NUM
iajs-2554	158	51	1.5	1.5	NUM
iajs-2554	158	52	2.0	2.0	NUM
iajs-2554	158	53	0	0	NUM
iajs-2554	158	54	5	5	NUM
iajs-2554	158	55	10	10	NUM
iajs-2554	158	56	15	15	NUM
iajs-2554	158	57	20	20	NUM
iajs-2554	158	58	y	y	PROPN
iajs-2554	158	59	u	u	NOUN
iajs-2554	158	60	y	y	PROPN
iajs-2554	158	61	76	76	NUM
iajs-2554	158	62	ibn	ibn	PROPN
iajs-2554	158	63	al	al	PROPN
iajs-2554	158	64	-	-	PUNCT
iajs-2554	158	65	haitham	haitham	PROPN
iajs-2554	158	66	jour	jour	X
iajs-2554	158	67	.	.	PROPN
iajs-2554	159	1	for	for	ADP
iajs-2554	159	2	pure	pure	ADJ
iajs-2554	159	3	&	&	CCONJ
iajs-2554	159	4	appl	appl	PROPN
iajs-2554	159	5	.	.	PUNCT
iajs-2554	160	1	sci	sci	PROPN
iajs-2554	160	2	.	.	PROPN
iajs-2554	161	1	34	34	NUM
iajs-2554	161	2	(	(	PUNCT
iajs-2554	161	3	1	1	NUM
iajs-2554	161	4	)	)	PUNCT
iajs-2554	161	5	2021	2021	NUM
iajs-2554	161	6	4.2	4.2	NUM
iajs-2554	161	7	.	.	PUNCT
iajs-2554	162	1	temperature	temperature	NOUN
iajs-2554	162	2	distribution	distribution	NOUN
iajs-2554	162	3	figures	figure	NOUN
iajs-2554	162	4	4	4	NUM
iajs-2554	162	5	-	-	SYM
iajs-2554	162	6	6	6	NUM
iajs-2554	162	7	are	be	AUX
iajs-2554	162	8	plotted	plot	VERB
iajs-2554	162	9	to	to	PART
iajs-2554	162	10	elaborate	elaborate	VERB
iajs-2554	162	11	parabolic	parabolic	ADJ
iajs-2554	162	12	behavior	behavior	NOUN
iajs-2554	162	13	for	for	ADP
iajs-2554	162	14	temperature	temperature	NOUN
iajs-2554	162	15	distribution	distribution	NOUN
iajs-2554	162	16	against	against	ADP
iajs-2554	162	17	axial	axial	ADJ
iajs-2554	162	18	𝑦	𝑦	NOUN
iajs-2554	162	19	axis	axis	NOUN
iajs-2554	162	20	for	for	ADP
iajs-2554	162	21	different	different	ADJ
iajs-2554	162	22	magnitudes	magnitude	NOUN
iajs-2554	162	23	of	of	ADP
iajs-2554	162	24	the	the	DET
iajs-2554	162	25	parameters	parameter	NOUN
iajs-2554	162	26	(	(	PUNCT
iajs-2554	162	27	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	162	28	,	,	PUNCT
iajs-2554	162	29	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	162	30	,	,	PUNCT
iajs-2554	162	31	𝐻	𝐻	PROPN
iajs-2554	162	32	,	,	PUNCT
iajs-2554	162	33	𝛽1,𝑚	𝛽1,𝑚	PROPN
iajs-2554	162	34	,	,	PUNCT
iajs-2554	162	35	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	162	36	)	)	PUNCT
iajs-2554	162	37	.	.	PUNCT
iajs-2554	163	1	figure	figure	NOUN
iajs-2554	163	2	4(a	4(a	NUM
iajs-2554	163	3	)	)	PUNCT
iajs-2554	163	4	illustrates	illustrate	VERB
iajs-2554	163	5	the	the	DET
iajs-2554	163	6	impact	impact	NOUN
iajs-2554	163	7	of	of	ADP
iajs-2554	163	8	brinkman	brinkman	ADJ
iajs-2554	163	9	number	number	NOUN
iajs-2554	163	10	on	on	ADP
iajs-2554	163	11	𝜃(𝑦	𝜃(𝑦	NOUN
iajs-2554	163	12	)	)	PUNCT
iajs-2554	163	13	.	.	PUNCT
iajs-2554	164	1	it	it	PRON
iajs-2554	164	2	is	be	AUX
iajs-2554	164	3	seen	see	VERB
iajs-2554	164	4	that	that	SCONJ
iajs-2554	164	5	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	164	6	react	react	VERB
iajs-2554	164	7	directly	directly	ADV
iajs-2554	164	8	on	on	ADP
iajs-2554	164	9	temperature	temperature	NOUN
iajs-2554	164	10	profile	profile	NOUN
iajs-2554	164	11	.	.	PUNCT
iajs-2554	165	1	however	however	ADV
iajs-2554	165	2	,	,	PUNCT
iajs-2554	165	3	in	in	ADP
iajs-2554	165	4	figure	figure	NOUN
iajs-2554	165	5	4(b	4(b	NUM
iajs-2554	165	6	)	)	PUNCT
iajs-2554	165	7	froude	froude	ADJ
iajs-2554	165	8	number	number	NOUN
iajs-2554	165	9	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	165	10	record	record	VERB
iajs-2554	165	11	quite	quite	ADV
iajs-2554	165	12	opposite	opposite	ADJ
iajs-2554	165	13	behavior	behavior	NOUN
iajs-2554	165	14	compared	compare	VERB
iajs-2554	165	15	to	to	ADP
iajs-2554	165	16	brinkman	brinkman	PROPN
iajs-2554	165	17	number	number	NOUN
iajs-2554	165	18	.	.	PUNCT
iajs-2554	166	1	the	the	DET
iajs-2554	166	2	effect	effect	NOUN
iajs-2554	166	3	of	of	ADP
iajs-2554	166	4	hartman	hartman	PROPN
iajs-2554	166	5	number	number	NOUN
iajs-2554	166	6	on	on	ADP
iajs-2554	166	7	temperature	temperature	NOUN
iajs-2554	166	8	profile	profile	NOUN
iajs-2554	166	9	testified	testify	VERB
iajs-2554	166	10	in	in	ADP
iajs-2554	166	11	fig	fig	NOUN
iajs-2554	166	12	.	.	PUNCT
iajs-2554	167	1	5(a	5(a	NUM
iajs-2554	167	2	)	)	PUNCT
iajs-2554	167	3	.	.	PUNCT
iajs-2554	168	1	it	it	PRON
iajs-2554	168	2	is	be	AUX
iajs-2554	168	3	evident	evident	ADJ
iajs-2554	168	4	that	that	SCONJ
iajs-2554	168	5	the	the	DET
iajs-2554	168	6	rise	rise	NOUN
iajs-2554	168	7	in	in	ADP
iajs-2554	168	8	lorentz	lorentz	PROPN
iajs-2554	168	9	force	force	NOUN
iajs-2554	168	10	produces	produce	VERB
iajs-2554	168	11	a	a	DET
iajs-2554	168	12	resistance	resistance	NOUN
iajs-2554	168	13	for	for	ADP
iajs-2554	168	14	a	a	DET
iajs-2554	168	15	larger	large	ADJ
iajs-2554	168	16	value	value	NOUN
iajs-2554	168	17	of	of	ADP
iajs-2554	168	18	hartman	hartman	PROPN
iajs-2554	168	19	number	number	NOUN
iajs-2554	168	20	and	and	CCONJ
iajs-2554	168	21	consequently	consequently	ADV
iajs-2554	168	22	reduces	reduce	VERB
iajs-2554	168	23	the	the	DET
iajs-2554	168	24	temperature	temperature	NOUN
iajs-2554	168	25	profile	profile	NOUN
iajs-2554	168	26	.	.	PUNCT
iajs-2554	169	1	figures	figure	NOUN
iajs-2554	169	2	.	.	PUNCT
iajs-2554	170	1	5(b	5(b	NUM
iajs-2554	170	2	)	)	PUNCT
iajs-2554	170	3	,	,	PUNCT
iajs-2554	170	4	6(a	6(a	NUM
iajs-2554	170	5	)	)	PUNCT
iajs-2554	170	6	,	,	PUNCT
iajs-2554	170	7	and	and	CCONJ
iajs-2554	170	8	6(b	6(b	NUM
iajs-2554	170	9	)	)	PUNCT
iajs-2554	170	10	clarify	clarify	VERB
iajs-2554	170	11	an	an	DET
iajs-2554	170	12	increment	increment	NOUN
iajs-2554	170	13	in	in	ADP
iajs-2554	170	14	temperature	temperature	NOUN
iajs-2554	170	15	slip	slip	NOUN
iajs-2554	170	16	parameter	parameter	NOUN
iajs-2554	170	17	𝛽1	𝛽1	PROPN
iajs-2554	170	18	hall	hall	NOUN
iajs-2554	170	19	number	number	NOUN
iajs-2554	170	20	𝑚	𝑚	PROPN
iajs-2554	170	21	and	and	CCONJ
iajs-2554	170	22	bingham	bingham	PROPN
iajs-2554	170	23	number	number	NOUN
iajs-2554	170	24	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	170	25	causing	cause	VERB
iajs-2554	170	26	rise	rise	NOUN
iajs-2554	170	27	in	in	ADP
iajs-2554	170	28	the	the	DET
iajs-2554	170	29	temperature	temperature	NOUN
iajs-2554	170	30	distribution	distribution	NOUN
iajs-2554	170	31	curve	curve	NOUN
iajs-2554	170	32	.	.	PUNCT
iajs-2554	171	1	(	(	PUNCT
iajs-2554	171	2	a	a	X
iajs-2554	171	3	)	)	PUNCT
iajs-2554	171	4	(	(	PUNCT
iajs-2554	171	5	b	b	X
iajs-2554	171	6	)	)	PUNCT
iajs-2554	171	7	figure	figure	NOUN
iajs-2554	171	8	4	4	NUM
iajs-2554	171	9	:	:	PUNCT
iajs-2554	171	10	temperature	temperature	NOUN
iajs-2554	171	11	profile	profile	NOUN
iajs-2554	171	12	𝜃(𝑦)for	𝜃(𝑦)for	ADP
iajs-2554	171	13	different	different	ADJ
iajs-2554	171	14	values	value	NOUN
iajs-2554	171	15	of	of	ADP
iajs-2554	171	16	(	(	PUNCT
iajs-2554	171	17	a	a	X
iajs-2554	171	18	)	)	PUNCT
iajs-2554	171	19	brinkman	brinkman	NOUN
iajs-2554	171	20	number	number	NOUN
iajs-2554	171	21	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	171	22	(	(	PUNCT
iajs-2554	171	23	b	b	NOUN
iajs-2554	171	24	)	)	PUNCT
iajs-2554	171	25	froude	froude	NOUN
iajs-2554	171	26	number	number	NOUN
iajs-2554	171	27	𝐹𝑟.	𝐹𝑟.	PROPN
iajs-2554	171	28	(	(	PUNCT
iajs-2554	171	29	b	b	NOUN
iajs-2554	171	30	)	)	PUNCT
iajs-2554	171	31	figure	figure	NOUN
iajs-2554	171	32	5	5	NUM
iajs-2554	171	33	:	:	PUNCT
iajs-2554	171	34	temperature	temperature	NOUN
iajs-2554	171	35	profile	profile	NOUN
iajs-2554	171	36	𝜃(𝑦)for	𝜃(𝑦)for	VERB
iajs-2554	171	37	different	different	ADJ
iajs-2554	171	38	values	value	NOUN
iajs-2554	171	39	of	of	ADP
iajs-2554	171	40	(	(	PUNCT
iajs-2554	171	41	a	a	PRON
iajs-2554	171	42	)	)	PUNCT
iajs-2554	171	43	hartman	hartman	NOUN
iajs-2554	171	44	number	number	NOUN
iajs-2554	171	45	𝐻	𝐻	PROPN
iajs-2554	171	46	(	(	PUNCT
iajs-2554	171	47	b	b	NOUN
iajs-2554	171	48	)	)	PUNCT
iajs-2554	171	49	temperature	temperature	NOUN
iajs-2554	171	50	slip	slip	NOUN
iajs-2554	171	51	parameter	parameter	NOUN
iajs-2554	171	52	𝛽1	𝛽1	NOUN
iajs-2554	171	53	.	.	PUNCT
iajs-2554	172	1	(	(	PUNCT
iajs-2554	172	2	a	a	X
iajs-2554	172	3	)	)	PUNCT
iajs-2554	172	4	(	(	PUNCT
iajs-2554	172	5	b	b	X
iajs-2554	172	6	)	)	PUNCT
iajs-2554	172	7	br	br	NOUN
iajs-2554	172	8	0.3	0.3	NUM
iajs-2554	172	9	br	br	NOUN
iajs-2554	172	10	0.5	0.5	NUM
iajs-2554	172	11	br	br	NOUN
iajs-2554	172	12	0.7	0.7	NUM
iajs-2554	172	13	br	br	NOUN
iajs-2554	172	14	0.9	0.9	NUM
iajs-2554	172	15	1.5	1.5	NUM
iajs-2554	172	16	1.0	1.0	NUM
iajs-2554	172	17	0.5	0.5	NUM
iajs-2554	172	18	0.0	0.0	NUM
iajs-2554	172	19	0.5	0.5	NUM
iajs-2554	172	20	1.0	1.0	NUM
iajs-2554	172	21	1.5	1.5	NUM
iajs-2554	172	22	0	0	NUM
iajs-2554	172	23	50	50	NUM
iajs-2554	172	24	100	100	NUM
iajs-2554	172	25	150	150	NUM
iajs-2554	172	26	200	200	NUM
iajs-2554	172	27	y	y	NOUN
iajs-2554	172	28	y	y	NOUN
iajs-2554	173	1	fr	fr	NOUN
iajs-2554	174	1	0.3	0.3	NUM
iajs-2554	175	1	fr	fr	NOUN
iajs-2554	176	1	0.5	0.5	NUM
iajs-2554	177	1	fr	fr	NOUN
iajs-2554	177	2	0.7	0.7	NUM
iajs-2554	178	1	fr	fr	NOUN
iajs-2554	178	2	0.95	0.95	NUM
iajs-2554	178	3	1.5	1.5	NUM
iajs-2554	178	4	1.0	1.0	NUM
iajs-2554	178	5	0.5	0.5	NUM
iajs-2554	178	6	0.0	0.0	NUM
iajs-2554	178	7	0.5	0.5	NUM
iajs-2554	178	8	1.0	1.0	NUM
iajs-2554	178	9	1.5	1.5	NUM
iajs-2554	178	10	20	20	NUM
iajs-2554	178	11	40	40	NUM
iajs-2554	178	12	60	60	NUM
iajs-2554	178	13	80	80	NUM
iajs-2554	178	14	100	100	NUM
iajs-2554	178	15	y	y	PROPN
iajs-2554	178	16	y	y	PROPN
iajs-2554	178	17	h	h	NOUN
iajs-2554	179	1	1	1	NUM
iajs-2554	179	2	h	h	NOUN
iajs-2554	179	3	1.5	1.5	NUM
iajs-2554	179	4	h	h	NOUN
iajs-2554	179	5	1.7	1.7	NUM
iajs-2554	179	6	h	h	NOUN
iajs-2554	179	7	2	2	NUM
iajs-2554	179	8	1.5	1.5	NUM
iajs-2554	179	9	1.0	1.0	NUM
iajs-2554	179	10	0.5	0.5	NUM
iajs-2554	179	11	0.0	0.0	NUM
iajs-2554	179	12	0.5	0.5	NUM
iajs-2554	179	13	1.0	1.0	NUM
iajs-2554	179	14	1.5	1.5	NUM
iajs-2554	179	15	0	0	NUM
iajs-2554	179	16	20	20	NUM
iajs-2554	179	17	40	40	NUM
iajs-2554	179	18	60	60	NUM
iajs-2554	179	19	80	80	NUM
iajs-2554	179	20	100	100	NUM
iajs-2554	179	21	y	y	PROPN
iajs-2554	179	22	y	y	PROPN
iajs-2554	179	23	1	1	NUM
iajs-2554	179	24	0.3	0.3	NUM
iajs-2554	179	25	1	1	NUM
iajs-2554	179	26	0.5	0.5	NUM
iajs-2554	179	27	1	1	NUM
iajs-2554	179	28	0.7	0.7	NUM
iajs-2554	179	29	1	1	NUM
iajs-2554	179	30	0.9	0.9	NUM
iajs-2554	179	31	1.5	1.5	NUM
iajs-2554	179	32	1.0	1.0	NUM
iajs-2554	179	33	0.5	0.5	NUM
iajs-2554	179	34	0.0	0.0	NUM
iajs-2554	179	35	0.5	0.5	NUM
iajs-2554	179	36	1.0	1.0	NUM
iajs-2554	179	37	1.5	1.5	NUM
iajs-2554	179	38	0	0	NUM
iajs-2554	179	39	20	20	NUM
iajs-2554	179	40	40	40	NUM
iajs-2554	179	41	60	60	NUM
iajs-2554	179	42	80	80	NUM
iajs-2554	179	43	y	y	PROPN
iajs-2554	179	44	y	y	PROPN
iajs-2554	179	45	77	77	NUM
iajs-2554	179	46	ibn	ibn	PROPN
iajs-2554	179	47	al	al	PROPN
iajs-2554	179	48	-	-	PUNCT
iajs-2554	179	49	haitham	haitham	PROPN
iajs-2554	179	50	jour	jour	X
iajs-2554	179	51	.	.	PROPN
iajs-2554	180	1	for	for	ADP
iajs-2554	180	2	pure	pure	ADJ
iajs-2554	180	3	&	&	CCONJ
iajs-2554	180	4	appl	appl	PROPN
iajs-2554	180	5	.	.	PUNCT
iajs-2554	181	1	sci	sci	PROPN
iajs-2554	181	2	.	.	PROPN
iajs-2554	182	1	34	34	NUM
iajs-2554	182	2	(	(	PUNCT
iajs-2554	182	3	1	1	NUM
iajs-2554	182	4	)	)	PUNCT
iajs-2554	182	5	2021	2021	NUM
iajs-2554	182	6	figure	figure	NOUN
iajs-2554	182	7	6	6	NUM
iajs-2554	182	8	:	:	PUNCT
iajs-2554	182	9	temperature	temperature	NOUN
iajs-2554	182	10	profile	profile	NOUN
iajs-2554	182	11	𝜃(𝑦)for	𝜃(𝑦)for	ADP
iajs-2554	182	12	different	different	ADJ
iajs-2554	182	13	values	value	NOUN
iajs-2554	182	14	of	of	ADP
iajs-2554	182	15	(	(	PUNCT
iajs-2554	182	16	a	a	PRON
iajs-2554	182	17	)	)	PUNCT
iajs-2554	182	18	hall	hall	NOUN
iajs-2554	182	19	number	number	NOUN
iajs-2554	182	20	𝑚	𝑚	PROPN
iajs-2554	182	21	(	(	PUNCT
iajs-2554	182	22	b	b	NOUN
iajs-2554	182	23	)	)	PUNCT
iajs-2554	182	24	bingham	bingham	PROPN
iajs-2554	182	25	number	number	NOUN
iajs-2554	182	26	𝐵𝑛.	𝐵𝑛.	PROPN
iajs-2554	182	27	4.3	4.3	NUM
iajs-2554	182	28	.	.	PUNCT
iajs-2554	183	1	heat	heat	NOUN
iajs-2554	183	2	transfer	transfer	NOUN
iajs-2554	183	3	figures	figure	NOUN
iajs-2554	183	4	7	7	NUM
iajs-2554	183	5	-	-	SYM
iajs-2554	183	6	8	8	NUM
iajs-2554	183	7	elucide	elucide	ADJ
iajs-2554	183	8	the	the	DET
iajs-2554	183	9	impact	impact	NOUN
iajs-2554	183	10	of	of	ADP
iajs-2554	183	11	brinkman	brinkman	PROPN
iajs-2554	183	12	number	number	NOUN
iajs-2554	183	13	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	183	14	,	,	PUNCT
iajs-2554	183	15	froude	froude	ADJ
iajs-2554	183	16	number	number	NOUN
iajs-2554	183	17	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	183	18	,	,	PUNCT
iajs-2554	183	19	phase	phase	NOUN
iajs-2554	183	20	difference	difference	NOUN
iajs-2554	183	21	parameter	parameter	NOUN
iajs-2554	183	22	∅	∅	NOUN
iajs-2554	183	23	,	,	PUNCT
iajs-2554	183	24	and	and	CCONJ
iajs-2554	183	25	permability	permability	NOUN
iajs-2554	183	26	parameter	parameter	NOUN
iajs-2554	183	27	𝜅	𝜅	X
iajs-2554	183	28	on	on	ADP
iajs-2554	183	29	the	the	DET
iajs-2554	183	30	coefficient	coefficient	NOUN
iajs-2554	183	31	of	of	ADP
iajs-2554	183	32	heat	heat	NOUN
iajs-2554	183	33	transfer	transfer	NOUN
iajs-2554	183	34	at	at	ADP
iajs-2554	183	35	the	the	DET
iajs-2554	183	36	lower	low	ADJ
iajs-2554	183	37	wall	wall	PROPN
iajs-2554	183	38	profile	profile	NOUN
iajs-2554	183	39	.	.	PUNCT
iajs-2554	184	1	these	these	DET
iajs-2554	184	2	figures	figure	NOUN
iajs-2554	184	3	show	show	VERB
iajs-2554	184	4	an	an	DET
iajs-2554	184	5	oscillatory	oscillatory	ADJ
iajs-2554	184	6	behavior	behavior	NOUN
iajs-2554	184	7	of	of	ADP
iajs-2554	184	8	𝑍(𝑥	𝑍(𝑥	ADV
iajs-2554	184	9	)	)	PUNCT
iajs-2554	184	10	via	via	ADP
iajs-2554	184	11	the	the	DET
iajs-2554	184	12	flow	flow	NOUN
iajs-2554	184	13	of	of	ADP
iajs-2554	184	14	peristaltic	peristaltic	ADJ
iajs-2554	184	15	waves	wave	NOUN
iajs-2554	184	16	along	along	ADP
iajs-2554	184	17	the	the	DET
iajs-2554	184	18	channel	channel	NOUN
iajs-2554	184	19	wall	wall	NOUN
iajs-2554	184	20	.	.	PUNCT
iajs-2554	185	1	figure	figure	NOUN
iajs-2554	185	2	7(a	7(a	NUM
iajs-2554	185	3	)	)	PUNCT
iajs-2554	185	4	portrays	portray	VERB
iajs-2554	185	5	the	the	DET
iajs-2554	185	6	increasing	increase	VERB
iajs-2554	185	7	function	function	NOUN
iajs-2554	185	8	of	of	ADP
iajs-2554	185	9	heat	heat	NOUN
iajs-2554	185	10	transfer	transfer	NOUN
iajs-2554	185	11	coffecient	coffecient	ADJ
iajs-2554	185	12	due	due	ADP
iajs-2554	185	13	to	to	PART
iajs-2554	185	14	arise	arise	VERB
iajs-2554	185	15	in	in	ADP
iajs-2554	185	16	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	185	17	value	value	NOUN
iajs-2554	185	18	.	.	PUNCT
iajs-2554	186	1	however	however	ADV
iajs-2554	186	2	figure	figure	VERB
iajs-2554	186	3	7(b	7(b	NOUN
iajs-2554	186	4	)	)	PUNCT
iajs-2554	186	5	depicts	depict	VERB
iajs-2554	186	6	an	an	DET
iajs-2554	186	7	oppsite	oppsite	ADJ
iajs-2554	186	8	reaction	reaction	NOUN
iajs-2554	186	9	for	for	ADP
iajs-2554	186	10	𝐹𝑟.	𝐹𝑟.	PROPN
iajs-2554	186	11	figure	figure	NOUN
iajs-2554	186	12	8(a	8(a	NUM
iajs-2554	186	13	)	)	PUNCT
iajs-2554	186	14	charactrizes	charactrize	VERB
iajs-2554	186	15	a	a	DET
iajs-2554	186	16	mixed	mixed	ADJ
iajs-2554	186	17	behavior	behavior	NOUN
iajs-2554	186	18	for	for	ADP
iajs-2554	186	19	𝑍(𝑥	𝑍(𝑥	ADV
iajs-2554	186	20	)	)	PUNCT
iajs-2554	186	21	for	for	ADP
iajs-2554	186	22	a	a	DET
iajs-2554	186	23	higher	high	ADJ
iajs-2554	186	24	value	value	NOUN
iajs-2554	186	25	of	of	ADP
iajs-2554	186	26	∅	∅	NOUN
iajs-2554	186	27	.	.	PUNCT
iajs-2554	187	1	we	we	PRON
iajs-2554	187	2	deduce	deduce	VERB
iajs-2554	187	3	from	from	ADP
iajs-2554	187	4	figure	figure	NOUN
iajs-2554	187	5	8(b	8(b	NUM
iajs-2554	187	6	)	)	PUNCT
iajs-2554	187	7	that	that	SCONJ
iajs-2554	187	8	for	for	ADP
iajs-2554	187	9	ascending	ascend	VERB
iajs-2554	187	10	magnitude	magnitude	NOUN
iajs-2554	187	11	of	of	ADP
iajs-2554	187	12	𝜅	𝜅	NUM
iajs-2554	187	13	,	,	PUNCT
iajs-2554	187	14	the	the	DET
iajs-2554	187	15	rate	rate	NOUN
iajs-2554	187	16	of	of	ADP
iajs-2554	187	17	heat	heat	NOUN
iajs-2554	187	18	transfer	transfer	NOUN
iajs-2554	187	19	increases	increase	NOUN
iajs-2554	187	20	.	.	PUNCT
iajs-2554	188	1	(	(	PUNCT
iajs-2554	188	2	a	a	X
iajs-2554	188	3	)	)	PUNCT
iajs-2554	188	4	(	(	PUNCT
iajs-2554	188	5	b	b	X
iajs-2554	188	6	)	)	PUNCT
iajs-2554	188	7	figure	figure	NOUN
iajs-2554	188	8	7	7	NUM
iajs-2554	188	9	:	:	PUNCT
iajs-2554	188	10	heat	heat	NOUN
iajs-2554	188	11	transfer	transfer	NOUN
iajs-2554	188	12	coefficient	coefficient	NOUN
iajs-2554	188	13	z(𝑥)for	z(𝑥)for	ADP
iajs-2554	188	14	different	different	ADJ
iajs-2554	188	15	values	value	NOUN
iajs-2554	188	16	of	of	ADP
iajs-2554	188	17	(	(	PUNCT
iajs-2554	188	18	a	a	X
iajs-2554	188	19	)	)	PUNCT
iajs-2554	188	20	brinkman	brinkman	NOUN
iajs-2554	188	21	number	number	NOUN
iajs-2554	188	22	𝐵𝑟	𝐵𝑟	PROPN
iajs-2554	188	23	(	(	PUNCT
iajs-2554	188	24	b	b	NOUN
iajs-2554	188	25	)	)	PUNCT
iajs-2554	188	26	froude	froude	NOUN
iajs-2554	188	27	number	number	NOUN
iajs-2554	188	28	𝐹𝑟.	𝐹𝑟.	PROPN
iajs-2554	189	1	(	(	PUNCT
iajs-2554	189	2	a	a	NOUN
iajs-2554	189	3	)	)	PUNCT
iajs-2554	189	4	(	(	PUNCT
iajs-2554	189	5	b	b	X
iajs-2554	189	6	)	)	PUNCT
iajs-2554	189	7	m	m	VERB
iajs-2554	189	8	0.2	0.2	NUM
iajs-2554	189	9	m	m	VERB
iajs-2554	189	10	0.4	0.4	NUM
iajs-2554	189	11	m	m	NUM
iajs-2554	189	12	0.6	0.6	NUM
iajs-2554	189	13	m	m	NOUN
iajs-2554	189	14	0.8	0.8	NUM
iajs-2554	189	15	1.5	1.5	NUM
iajs-2554	189	16	1.0	1.0	NUM
iajs-2554	189	17	0.5	0.5	NUM
iajs-2554	189	18	0.0	0.0	NUM
iajs-2554	189	19	0.5	0.5	NUM
iajs-2554	189	20	1.0	1.0	NUM
iajs-2554	189	21	1.5	1.5	NUM
iajs-2554	189	22	0	0	NUM
iajs-2554	189	23	20	20	NUM
iajs-2554	189	24	40	40	NUM
iajs-2554	189	25	60	60	NUM
iajs-2554	189	26	y	y	PROPN
iajs-2554	189	27	y	y	PROPN
iajs-2554	189	28	bn	bn	PROPN
iajs-2554	189	29	0.2	0.2	NUM
iajs-2554	189	30	bn	bn	NUM
iajs-2554	189	31	0.4	0.4	NUM
iajs-2554	189	32	bn	bn	NOUN
iajs-2554	189	33	0.6	0.6	NUM
iajs-2554	189	34	bn	bn	NOUN
iajs-2554	189	35	0.8	0.8	NUM
iajs-2554	189	36	1.5	1.5	NUM
iajs-2554	189	37	1.0	1.0	NUM
iajs-2554	189	38	0.5	0.5	NUM
iajs-2554	189	39	0.0	0.0	NUM
iajs-2554	189	40	0.5	0.5	NUM
iajs-2554	189	41	1.0	1.0	NUM
iajs-2554	189	42	1.5	1.5	NUM
iajs-2554	189	43	0	0	NUM
iajs-2554	189	44	50	50	NUM
iajs-2554	189	45	100	100	NUM
iajs-2554	189	46	150	150	NUM
iajs-2554	189	47	200	200	NUM
iajs-2554	189	48	y	y	NOUN
iajs-2554	189	49	y	y	PROPN
iajs-2554	189	50	br	br	NOUN
iajs-2554	189	51	0.2	0.2	NUM
iajs-2554	189	52	br	br	NOUN
iajs-2554	189	53	0.4	0.4	NUM
iajs-2554	189	54	br	br	NOUN
iajs-2554	189	55	0.6	0.6	NUM
iajs-2554	189	56	br	br	NOUN
iajs-2554	189	57	0.8	0.8	NUM
iajs-2554	189	58	0.0	0.0	NUM
iajs-2554	189	59	0.5	0.5	NUM
iajs-2554	189	60	1.0	1.0	NUM
iajs-2554	189	61	1.5	1.5	NUM
iajs-2554	189	62	200	200	NUM
iajs-2554	189	63	100	100	NUM
iajs-2554	189	64	0	0	NUM
iajs-2554	189	65	100	100	NUM
iajs-2554	189	66	200	200	NUM
iajs-2554	189	67	300	300	NUM
iajs-2554	189	68	400	400	NUM
iajs-2554	189	69	500	500	NUM
iajs-2554	189	70	x	x	NOUN
iajs-2554	189	71	z	z	NOUN
iajs-2554	190	1	x	x	SYM
iajs-2554	190	2	fr	fr	NOUN
iajs-2554	190	3	0.2	0.2	NUM
iajs-2554	191	1	fr	fr	NOUN
iajs-2554	191	2	0.4	0.4	NUM
iajs-2554	192	1	fr	fr	NOUN
iajs-2554	192	2	0.6	0.6	NUM
iajs-2554	192	3	fr	fr	NOUN
iajs-2554	193	1	0.8	0.8	NUM
iajs-2554	193	2	0.0	0.0	NUM
iajs-2554	193	3	0.5	0.5	NUM
iajs-2554	193	4	1.0	1.0	NUM
iajs-2554	193	5	1.5	1.5	NUM
iajs-2554	193	6	200	200	NUM
iajs-2554	193	7	100	100	NUM
iajs-2554	193	8	0	0	NUM
iajs-2554	193	9	100	100	NUM
iajs-2554	193	10	200	200	NUM
iajs-2554	193	11	300	300	NUM
iajs-2554	193	12	x	x	NOUN
iajs-2554	193	13	z	z	NOUN
iajs-2554	193	14	x	x	SYM
iajs-2554	193	15	78	78	NUM
iajs-2554	193	16	ibn	ibn	PROPN
iajs-2554	193	17	al	al	PROPN
iajs-2554	193	18	-	-	PUNCT
iajs-2554	193	19	haitham	haitham	PROPN
iajs-2554	193	20	jour	jour	X
iajs-2554	193	21	.	.	PROPN
iajs-2554	194	1	for	for	ADP
iajs-2554	194	2	pure	pure	ADJ
iajs-2554	194	3	&	&	CCONJ
iajs-2554	194	4	appl	appl	PROPN
iajs-2554	194	5	.	.	PUNCT
iajs-2554	195	1	sci	sci	PROPN
iajs-2554	195	2	.	.	PROPN
iajs-2554	196	1	34	34	NUM
iajs-2554	196	2	(	(	PUNCT
iajs-2554	196	3	1	1	NUM
iajs-2554	196	4	)	)	PUNCT
iajs-2554	196	5	2021	2021	NUM
iajs-2554	196	6	figure	figure	NOUN
iajs-2554	196	7	8	8	NUM
iajs-2554	196	8	:	:	PUNCT
iajs-2554	196	9	heat	heat	NOUN
iajs-2554	196	10	transfer	transfer	NOUN
iajs-2554	196	11	coefficient	coefficient	NOUN
iajs-2554	196	12	z(𝑥)for	z(𝑥)for	ADP
iajs-2554	196	13	different	different	ADJ
iajs-2554	196	14	values	value	NOUN
iajs-2554	196	15	of	of	ADP
iajs-2554	196	16	(	(	PUNCT
iajs-2554	196	17	a	a	DET
iajs-2554	196	18	)	)	PUNCT
iajs-2554	196	19	phase	phase	NOUN
iajs-2554	196	20	difference	difference	NOUN
iajs-2554	196	21	parameter	parameter	NOUN
iajs-2554	196	22	𝜙	𝜙	PROPN
iajs-2554	196	23	(	(	PUNCT
iajs-2554	196	24	b	b	NOUN
iajs-2554	196	25	)	)	PUNCT
iajs-2554	196	26	permeability	permeability	NOUN
iajs-2554	196	27	parameter𝜅.	parameter𝜅.	NOUN
iajs-2554	196	28	4.4	4.4	NUM
iajs-2554	196	29	.	.	PUNCT
iajs-2554	197	1	trapping	trap	VERB
iajs-2554	197	2	phenomenon	phenomenon	NOUN
iajs-2554	197	3	a	a	DET
iajs-2554	197	4	phenomenon	phenomenon	NOUN
iajs-2554	197	5	in	in	ADP
iajs-2554	197	6	which	which	PRON
iajs-2554	197	7	an	an	DET
iajs-2554	197	8	amount	amount	NOUN
iajs-2554	197	9	of	of	ADP
iajs-2554	197	10	fluid	fluid	NOUN
iajs-2554	197	11	trapped	trap	VERB
iajs-2554	197	12	in	in	ADP
iajs-2554	197	13	closed	closed	ADJ
iajs-2554	197	14	streamlines	streamline	NOUN
iajs-2554	197	15	is	be	AUX
iajs-2554	197	16	called	call	VERB
iajs-2554	197	17	bolus	bolus	ADJ
iajs-2554	197	18	.	.	PUNCT
iajs-2554	198	1	in	in	ADP
iajs-2554	198	2	this	this	DET
iajs-2554	198	3	part	part	NOUN
iajs-2554	198	4	of	of	ADP
iajs-2554	198	5	work	work	NOUN
iajs-2554	198	6	,	,	PUNCT
iajs-2554	198	7	some	some	DET
iajs-2554	198	8	results	result	NOUN
iajs-2554	198	9	of	of	ADP
iajs-2554	198	10	the	the	DET
iajs-2554	198	11	phenomenon	phenomenon	NOUN
iajs-2554	198	12	of	of	ADP
iajs-2554	198	13	trapping	trap	VERB
iajs-2554	198	14	are	be	AUX
iajs-2554	198	15	portrayed	portray	VERB
iajs-2554	198	16	.	.	PUNCT
iajs-2554	199	1	figures	figure	NOUN
iajs-2554	199	2	9	9	NUM
iajs-2554	199	3	-	-	SYM
iajs-2554	199	4	15	15	NUM
iajs-2554	199	5	highlight	highlight	VERB
iajs-2554	199	6	the	the	DET
iajs-2554	199	7	impact	impact	NOUN
iajs-2554	199	8	of	of	ADP
iajs-2554	199	9	wall	wall	PROPN
iajs-2554	199	10	elasticity	elasticity	PROPN
iajs-2554	199	11	parameters	parameter	NOUN
iajs-2554	199	12	𝐸1	𝐸1	VERB
iajs-2554	199	13	,	,	PUNCT
iajs-2554	199	14	𝐸2	𝐸2	ADJ
iajs-2554	199	15	,	,	PUNCT
iajs-2554	199	16	𝐸3	𝐸3	NOUN
iajs-2554	199	17	and	and	CCONJ
iajs-2554	199	18	for	for	ADP
iajs-2554	199	19	𝐻	𝐻	PROPN
iajs-2554	199	20	,	,	PUNCT
iajs-2554	199	21	𝜅,𝑚	𝜅,𝑚	NOUN
iajs-2554	199	22	,	,	PUNCT
iajs-2554	199	23	𝜖	𝜖	PROPN
iajs-2554	199	24	,	,	PUNCT
iajs-2554	199	25	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	199	26	,	,	PUNCT
iajs-2554	199	27	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	199	28	values	value	NOUN
iajs-2554	199	29	.	.	PUNCT
iajs-2554	200	1	graphical	graphical	ADJ
iajs-2554	200	2	results	result	NOUN
iajs-2554	200	3	show	show	VERB
iajs-2554	200	4	two	two	NUM
iajs-2554	200	5	asymmetric	asymmetric	ADJ
iajs-2554	200	6	regions	region	NOUN
iajs-2554	200	7	,	,	PUNCT
iajs-2554	200	8	the	the	DET
iajs-2554	200	9	first	first	ADJ
iajs-2554	200	10	region	region	NOUN
iajs-2554	200	11	begins	begin	VERB
iajs-2554	200	12	from	from	ADP
iajs-2554	200	13	(	(	PUNCT
iajs-2554	200	14	0.2	0.2	NUM
iajs-2554	200	15	≤	≤	NUM
iajs-2554	200	16	𝑥	𝑥	DET
iajs-2554	200	17	≤	≤	ADJ
iajs-2554	200	18	0.7)while	0.7)while	NOUN
iajs-2554	201	1	the	the	DET
iajs-2554	201	2	second	second	ADJ
iajs-2554	201	3	region	region	NOUN
iajs-2554	201	4	(	(	PUNCT
iajs-2554	201	5	0.7	0.7	NUM
iajs-2554	201	6	≤	≤	NUM
iajs-2554	201	7	𝑥	𝑥	DET
iajs-2554	201	8	≤	≤	NUM
iajs-2554	201	9	1.2	1.2	NUM
iajs-2554	201	10	)	)	PUNCT
iajs-2554	201	11	.	.	PUNCT
iajs-2554	202	1	one	one	PRON
iajs-2554	202	2	can	can	AUX
iajs-2554	202	3	observe	observe	VERB
iajs-2554	202	4	an	an	DET
iajs-2554	202	5	increment	increment	NOUN
iajs-2554	202	6	in	in	ADP
iajs-2554	202	7	size	size	NOUN
iajs-2554	202	8	and	and	CCONJ
iajs-2554	202	9	number	number	NOUN
iajs-2554	202	10	of	of	ADP
iajs-2554	202	11	trapped	trapped	ADJ
iajs-2554	202	12	bolus	bolus	NOUN
iajs-2554	202	13	,	,	PUNCT
iajs-2554	202	14	whereas	whereas	SCONJ
iajs-2554	202	15	the	the	DET
iajs-2554	202	16	second	second	ADJ
iajs-2554	202	17	region	region	NOUN
iajs-2554	202	18	witnesses	witness	VERB
iajs-2554	202	19	a	a	DET
iajs-2554	202	20	less	less	ADJ
iajs-2554	202	21	number	number	NOUN
iajs-2554	202	22	of	of	ADP
iajs-2554	202	23	generated	generate	VERB
iajs-2554	202	24	bolus	bolus	NOUN
iajs-2554	202	25	.	.	PUNCT
iajs-2554	203	1	the	the	DET
iajs-2554	203	2	effect	effect	NOUN
iajs-2554	203	3	of	of	ADP
iajs-2554	203	4	wall	wall	NOUN
iajs-2554	203	5	rigidity	rigidity	NOUN
iajs-2554	203	6	and	and	CCONJ
iajs-2554	203	7	tension	tension	NOUN
iajs-2554	203	8	parameters	parameter	NOUN
iajs-2554	203	9	respectively	respectively	ADV
iajs-2554	203	10	𝐸1	𝐸1	NOUN
iajs-2554	203	11	,	,	PUNCT
iajs-2554	203	12	𝐸2	𝐸2	ADJ
iajs-2554	203	13	and	and	CCONJ
iajs-2554	203	14	mass	mass	ADJ
iajs-2554	203	15	characterization	characterization	NOUN
iajs-2554	203	16	parameter	parameter	NOUN
iajs-2554	203	17	𝐸3	𝐸3	NOUN
iajs-2554	203	18	on	on	ADP
iajs-2554	203	19	trapping	trap	VERB
iajs-2554	203	20	phenomenon	phenomenon	NOUN
iajs-2554	203	21	are	be	AUX
iajs-2554	203	22	shown	show	VERB
iajs-2554	203	23	in	in	ADP
iajs-2554	203	24	figure	figure	NOUN
iajs-2554	203	25	9	9	NUM
iajs-2554	203	26	.	.	PUNCT
iajs-2554	204	1	however	however	ADV
iajs-2554	204	2	,	,	PUNCT
iajs-2554	204	3	it	it	PRON
iajs-2554	204	4	is	be	AUX
iajs-2554	204	5	important	important	ADJ
iajs-2554	204	6	to	to	PART
iajs-2554	204	7	note	note	VERB
iajs-2554	204	8	that	that	SCONJ
iajs-2554	204	9	both	both	DET
iajs-2554	204	10	parameters	parameter	NOUN
iajs-2554	204	11	𝐸1	𝐸1	VERB
iajs-2554	204	12	,	,	PUNCT
iajs-2554	204	13	𝐸2	𝐸2	ADJ
iajs-2554	204	14	increase	increase	VERB
iajs-2554	204	15	the	the	DET
iajs-2554	204	16	trap	trap	NOUN
iajs-2554	204	17	bolus	bolus	NOUN
iajs-2554	204	18	in	in	ADP
iajs-2554	204	19	magnitude	magnitude	NOUN
iajs-2554	204	20	and	and	CCONJ
iajs-2554	204	21	number	number	NOUN
iajs-2554	204	22	while	while	SCONJ
iajs-2554	204	23	a	a	DET
iajs-2554	204	24	higher	high	ADJ
iajs-2554	204	25	value	value	NOUN
iajs-2554	204	26	of	of	ADP
iajs-2554	204	27	𝐸3	𝐸3	PROPN
iajs-2554	204	28	parameter	parameter	NOUN
iajs-2554	204	29	that	that	PRON
iajs-2554	204	30	reduces	reduce	VERB
iajs-2554	204	31	the	the	DET
iajs-2554	204	32	size	size	NOUN
iajs-2554	204	33	of	of	ADP
iajs-2554	204	34	bolus	bolus	NOUN
iajs-2554	204	35	but	but	CCONJ
iajs-2554	204	36	in	in	ADP
iajs-2554	204	37	the	the	DET
iajs-2554	204	38	right	right	ADJ
iajs-2554	204	39	side	side	NOUN
iajs-2554	204	40	,	,	PUNCT
iajs-2554	204	41	its	its	PRON
iajs-2554	204	42	number	number	NOUN
iajs-2554	204	43	reduces	reduce	VERB
iajs-2554	204	44	.	.	PUNCT
iajs-2554	205	1	figure	figure	NOUN
iajs-2554	205	2	10	10	NUM
iajs-2554	205	3	reveals	reveal	VERB
iajs-2554	205	4	that	that	SCONJ
iajs-2554	205	5	ascending	ascend	VERB
iajs-2554	205	6	value	value	NOUN
iajs-2554	205	7	of	of	ADP
iajs-2554	205	8	hartman	hartman	PROPN
iajs-2554	205	9	number	number	NOUN
iajs-2554	205	10	𝐻	𝐻	PROPN
iajs-2554	205	11	is	be	AUX
iajs-2554	205	12	due	due	ADJ
iajs-2554	205	13	to	to	ADP
iajs-2554	205	14	increases	increase	NOUN
iajs-2554	205	15	in	in	ADP
iajs-2554	205	16	lorentz	lorentz	PROPN
iajs-2554	205	17	force	force	NOUN
iajs-2554	205	18	which	which	PRON
iajs-2554	205	19	resists	resist	VERB
iajs-2554	205	20	the	the	DET
iajs-2554	205	21	fluid	fluid	ADJ
iajs-2554	205	22	flow	flow	NOUN
iajs-2554	205	23	as	as	ADP
iajs-2554	205	24	a	a	DET
iajs-2554	205	25	result	result	NOUN
iajs-2554	205	26	decreases	decrease	VERB
iajs-2554	205	27	the	the	DET
iajs-2554	205	28	size	size	NOUN
iajs-2554	205	29	of	of	ADP
iajs-2554	205	30	trapping	trap	VERB
iajs-2554	205	31	bolus	bolus	NOUN
iajs-2554	205	32	.	.	PUNCT
iajs-2554	206	1	opposite	opposite	ADJ
iajs-2554	206	2	to	to	ADP
iajs-2554	206	3	this	this	DET
iajs-2554	206	4	result	result	NOUN
iajs-2554	206	5	,	,	PUNCT
iajs-2554	206	6	permeability	permeability	NOUN
iajs-2554	206	7	parameter	parameter	NOUN
iajs-2554	206	8	𝜅	𝜅	X
iajs-2554	206	9	directly	directly	ADV
iajs-2554	206	10	acts	act	VERB
iajs-2554	206	11	on	on	ADP
iajs-2554	206	12	trapping	trap	VERB
iajs-2554	206	13	bolus	bolus	NOUN
iajs-2554	206	14	in	in	ADP
iajs-2554	206	15	size	size	NOUN
iajs-2554	206	16	and	and	CCONJ
iajs-2554	206	17	number	number	NOUN
iajs-2554	206	18	;	;	PUNCT
iajs-2554	206	19	see	see	VERB
iajs-2554	206	20	figure	figure	NOUN
iajs-2554	206	21	11	11	NUM
iajs-2554	206	22	.	.	PUNCT
iajs-2554	207	1	the	the	DET
iajs-2554	207	2	variation	variation	NOUN
iajs-2554	207	3	of	of	ADP
iajs-2554	207	4	hall	hall	NOUN
iajs-2554	207	5	number	number	NOUN
iajs-2554	207	6	𝑚	𝑚	NOUN
iajs-2554	207	7	and	and	CCONJ
iajs-2554	207	8	dimensionless	dimensionless	NOUN
iajs-2554	207	9	viscosity	viscosity	NOUN
iajs-2554	207	10	parameter	parameter	NOUN
iajs-2554	207	11	𝜖	𝜖	PROPN
iajs-2554	207	12	on	on	ADP
iajs-2554	207	13	trapped	trap	VERB
iajs-2554	207	14	bolus	bolus	NOUN
iajs-2554	207	15	are	be	AUX
iajs-2554	207	16	reflected	reflect	VERB
iajs-2554	207	17	in	in	ADP
iajs-2554	207	18	figures	figure	NOUN
iajs-2554	207	19	12	12	NUM
iajs-2554	207	20	and	and	CCONJ
iajs-2554	207	21	13	13	NUM
iajs-2554	207	22	.	.	PUNCT
iajs-2554	208	1	one	one	PRON
iajs-2554	208	2	can	can	AUX
iajs-2554	208	3	observe	observe	VERB
iajs-2554	208	4	the	the	DET
iajs-2554	208	5	increasing	increase	VERB
iajs-2554	208	6	function	function	NOUN
iajs-2554	208	7	for	for	ADP
iajs-2554	208	8	them	they	PRON
iajs-2554	208	9	on	on	ADP
iajs-2554	208	10	trapped	trap	VERB
iajs-2554	208	11	bolus	bolus	ADJ
iajs-2554	208	12	size	size	NOUN
iajs-2554	208	13	.	.	PUNCT
iajs-2554	209	1	in	in	ADP
iajs-2554	209	2	figure	figure	NOUN
iajs-2554	209	3	14	14	NUM
iajs-2554	209	4	,	,	PUNCT
iajs-2554	209	5	we	we	PRON
iajs-2554	209	6	demonstrate	demonstrate	VERB
iajs-2554	209	7	that	that	SCONJ
iajs-2554	209	8	a	a	DET
iajs-2554	209	9	larger	large	ADJ
iajs-2554	209	10	value	value	NOUN
iajs-2554	209	11	of	of	ADP
iajs-2554	209	12	froude	froude	ADJ
iajs-2554	209	13	number	number	NOUN
iajs-2554	209	14	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	209	15	reduces	reduce	VERB
iajs-2554	209	16	both	both	PRON
iajs-2554	209	17	the	the	DET
iajs-2554	209	18	size	size	NOUN
iajs-2554	209	19	and	and	CCONJ
iajs-2554	209	20	circulation	circulation	NOUN
iajs-2554	209	21	of	of	ADP
iajs-2554	209	22	bolus	bolus	NOUN
iajs-2554	209	23	.	.	PUNCT
iajs-2554	210	1	figure	figure	NOUN
iajs-2554	210	2	15	15	NUM
iajs-2554	210	3	interprets	interpret	VERB
iajs-2554	210	4	the	the	DET
iajs-2554	210	5	independence	independence	NOUN
iajs-2554	210	6	of	of	ADP
iajs-2554	210	7	trapping	trap	VERB
iajs-2554	210	8	bolus	bolus	NOUN
iajs-2554	210	9	of	of	ADP
iajs-2554	210	10	variation	variation	NOUN
iajs-2554	210	11	of	of	ADP
iajs-2554	210	12	bingham	bingham	PROPN
iajs-2554	210	13	parameter	parameter	PROPN
iajs-2554	210	14	𝐵𝑛.	𝐵𝑛.	PROPN
iajs-2554	211	1	(	(	PUNCT
iajs-2554	211	2	a	a	X
iajs-2554	211	3	)	)	PUNCT
iajs-2554	211	4	"	"	PUNCT
iajs-2554	211	5	6	6	NUM
iajs-2554	211	6	4	4	NUM
iajs-2554	211	7	3	3	NUM
iajs-2554	211	8	2	2	NUM
iajs-2554	211	9	0.0	0.0	NUM
iajs-2554	211	10	0.5	0.5	NUM
iajs-2554	211	11	1.0	1.0	NUM
iajs-2554	211	12	1.5	1.5	NUM
iajs-2554	211	13	40	40	NUM
iajs-2554	211	14	20	20	NUM
iajs-2554	211	15	0	0	NUM
iajs-2554	211	16	20	20	NUM
iajs-2554	211	17	40	40	NUM
iajs-2554	211	18	x	x	SYM
iajs-2554	211	19	z	z	NOUN
iajs-2554	211	20	x	x	SYM
iajs-2554	211	21	x	x	SYM
iajs-2554	211	22	0.2	0.2	NUM
iajs-2554	211	23	0.4	0.4	NUM
iajs-2554	211	24	0.6	0.6	NUM
iajs-2554	211	25	0.9	0.9	NUM
iajs-2554	211	26	0.0	0.0	NUM
iajs-2554	211	27	0.5	0.5	NUM
iajs-2554	211	28	1.0	1.0	NUM
iajs-2554	211	29	1.5	1.5	NUM
iajs-2554	211	30	4	4	NUM
iajs-2554	211	31	2	2	NUM
iajs-2554	211	32	0	0	NUM
iajs-2554	211	33	2	2	NUM
iajs-2554	211	34	4	4	NUM
iajs-2554	211	35	x	x	SYM
iajs-2554	211	36	z	z	NOUN
iajs-2554	211	37	x	x	SYM
iajs-2554	211	38	79	79	NUM
iajs-2554	211	39	ibn	ibn	PROPN
iajs-2554	211	40	al	al	PROPN
iajs-2554	211	41	-	-	PUNCT
iajs-2554	211	42	haitham	haitham	PROPN
iajs-2554	211	43	jour	jour	X
iajs-2554	211	44	.	.	PROPN
iajs-2554	211	45	for	for	ADP
iajs-2554	211	46	pure	pure	ADJ
iajs-2554	211	47	&	&	CCONJ
iajs-2554	211	48	appl	appl	PROPN
iajs-2554	211	49	.	.	PUNCT
iajs-2554	212	1	sci	sci	PROPN
iajs-2554	212	2	.	.	PROPN
iajs-2554	213	1	34	34	NUM
iajs-2554	213	2	(	(	PUNCT
iajs-2554	213	3	1	1	NUM
iajs-2554	213	4	)	)	PUNCT
iajs-2554	213	5	2021	2021	NUM
iajs-2554	213	6	(	(	PUNCT
iajs-2554	213	7	b	b	NOUN
iajs-2554	213	8	)	)	PUNCT
iajs-2554	213	9	(	(	PUNCT
iajs-2554	213	10	c	c	X
iajs-2554	213	11	)	)	PUNCT
iajs-2554	213	12	figure	figure	NOUN
iajs-2554	213	13	9	9	NUM
iajs-2554	213	14	:	:	PUNCT
iajs-2554	213	15	streamlines	streamline	NOUN
iajs-2554	213	16	for	for	ADP
iajs-2554	213	17	variation	variation	NOUN
iajs-2554	213	18	of	of	ADP
iajs-2554	213	19	parameters	parameter	NOUN
iajs-2554	213	20	(	(	PUNCT
iajs-2554	213	21	a	a	X
iajs-2554	213	22	)	)	PUNCT
iajs-2554	213	23	wall	wall	NOUN
iajs-2554	213	24	rigidity	rigidity	NOUN
iajs-2554	213	25	𝐸1	𝐸1	PROPN
iajs-2554	213	26	(	(	PUNCT
iajs-2554	213	27	b	b	NOUN
iajs-2554	213	28	)	)	PUNCT
iajs-2554	213	29	wall	wall	NOUN
iajs-2554	213	30	tension	tension	NOUN
iajs-2554	213	31	𝐸2	𝐸2	PROPN
iajs-2554	213	32	(	(	PUNCT
iajs-2554	213	33	c	c	NOUN
iajs-2554	213	34	)	)	PUNCT
iajs-2554	213	35	mass	mass	ADJ
iajs-2554	213	36	characterization	characterization	NOUN
iajs-2554	213	37	𝐸3	𝐸3	NOUN
iajs-2554	213	38	with	with	ADP
iajs-2554	213	39	𝜖	𝜖	PROPN
iajs-2554	213	40	=	=	SYM
iajs-2554	213	41	0.02	0.02	NUM
iajs-2554	213	42	,	,	PUNCT
iajs-2554	213	43	𝜅	𝜅	PRON
iajs-2554	213	44	=	=	X
iajs-2554	213	45	0.2,𝑚	0.2,𝑚	PUNCT
iajs-2554	213	46	=	=	SYM
iajs-2554	213	47	0.2	0.2	NUM
iajs-2554	213	48	,	,	PUNCT
iajs-2554	213	49	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	213	50	=	=	PUNCT
iajs-2554	213	51	0.8	0.8	NUM
iajs-2554	213	52	,	,	PUNCT
iajs-2554	213	53	𝐻	𝐻	PROPN
iajs-2554	213	54	=	=	SYM
iajs-2554	213	55	1	1	NUM
iajs-2554	213	56	,	,	PUNCT
iajs-2554	213	57	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	213	58	=	=	SYM
iajs-2554	213	59	0.2	0.2	NUM
iajs-2554	213	60	,	,	PUNCT
iajs-2554	213	61	𝛼	𝛼	X
iajs-2554	213	62	=	=	PUNCT
iajs-2554	214	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	214	2	6	6	NUM
iajs-2554	214	3	,	,	PUNCT
iajs-2554	214	4	𝛾	𝛾	PROPN
iajs-2554	214	5	=	=	SYM
iajs-2554	214	6	0.7	0.7	NUM
iajs-2554	214	7	,	,	PUNCT
iajs-2554	214	8	𝜙	𝜙	NOUN
iajs-2554	214	9	=	=	PUNCT
iajs-2554	215	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	215	2	4	4	NUM
iajs-2554	215	3	,	,	PUNCT
iajs-2554	215	4	𝑡	𝑡	NOUN
iajs-2554	215	5	=	=	SYM
iajs-2554	215	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	215	7	=	=	SYM
iajs-2554	215	8	0.5	0.5	NUM
iajs-2554	215	9	,	,	PUNCT
iajs-2554	215	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	215	11	=	=	PROPN
iajs-2554	215	12	0.5	0.5	NUM
iajs-2554	215	13	.	.	PUNCT
iajs-2554	216	1	(	(	PUNCT
iajs-2554	216	2	a	a	X
iajs-2554	216	3	)	)	PUNCT
iajs-2554	216	4	(	(	PUNCT
iajs-2554	216	5	b	b	X
iajs-2554	216	6	)	)	PUNCT
iajs-2554	216	7	80	80	NUM
iajs-2554	217	1	ibn	ibn	PROPN
iajs-2554	217	2	al	al	PROPN
iajs-2554	217	3	-	-	PUNCT
iajs-2554	217	4	haitham	haitham	PROPN
iajs-2554	217	5	jour	jour	X
iajs-2554	217	6	.	.	PROPN
iajs-2554	217	7	for	for	ADP
iajs-2554	217	8	pure	pure	ADJ
iajs-2554	217	9	&	&	CCONJ
iajs-2554	217	10	appl	appl	PROPN
iajs-2554	217	11	.	.	PUNCT
iajs-2554	218	1	sci	sci	PROPN
iajs-2554	218	2	.	.	PROPN
iajs-2554	219	1	34	34	NUM
iajs-2554	219	2	(	(	PUNCT
iajs-2554	219	3	1	1	NUM
iajs-2554	219	4	)	)	PUNCT
iajs-2554	219	5	2021	2021	NUM
iajs-2554	219	6	figure	figure	NOUN
iajs-2554	219	7	10	10	NUM
iajs-2554	219	8	streamlines	streamline	NOUN
iajs-2554	219	9	for	for	ADP
iajs-2554	219	10	variation	variation	NOUN
iajs-2554	219	11	of	of	ADP
iajs-2554	219	12	hartman	hartman	PROPN
iajs-2554	219	13	number	number	NOUN
iajs-2554	219	14	𝐻	𝐻	PROPN
iajs-2554	219	15	with	with	ADP
iajs-2554	219	16	𝐸1	𝐸1	NOUN
iajs-2554	219	17	=	=	NUM
iajs-2554	219	18	0.4	0.4	NUM
iajs-2554	219	19	,	,	PUNCT
iajs-2554	219	20	𝐸2	𝐸2	PROPN
iajs-2554	219	21	=	=	PROPN
iajs-2554	219	22	0.2	0.2	NUM
iajs-2554	219	23	,	,	PUNCT
iajs-2554	219	24	𝐸3	𝐸3	NOUN
iajs-2554	219	25	=	=	NOUN
iajs-2554	219	26	0.3	0.3	NUM
iajs-2554	219	27	𝜖	𝜖	X
iajs-2554	219	28	=	=	NOUN
iajs-2554	219	29	0.02	0.02	NUM
iajs-2554	219	30	,	,	PUNCT
iajs-2554	219	31	𝜅	𝜅	PRON
iajs-2554	219	32	=	=	X
iajs-2554	219	33	0.2,𝑚	0.2,𝑚	PUNCT
iajs-2554	219	34	=	=	SYM
iajs-2554	219	35	0.2	0.2	NUM
iajs-2554	219	36	,	,	PUNCT
iajs-2554	219	37	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	219	38	=	=	PUNCT
iajs-2554	219	39	0.8	0.8	NUM
iajs-2554	219	40	,	,	PUNCT
iajs-2554	219	41	𝑑1	𝑑1	NOUN
iajs-2554	219	42	=	=	NOUN
iajs-2554	219	43	0.1	0.1	NUM
iajs-2554	219	44	,	,	PUNCT
iajs-2554	219	45	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	219	46	=	=	SYM
iajs-2554	219	47	0.2	0.2	NUM
iajs-2554	219	48	,	,	PUNCT
iajs-2554	219	49	𝛼	𝛼	X
iajs-2554	219	50	=	=	PUNCT
iajs-2554	220	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	220	2	6	6	NUM
iajs-2554	220	3	,	,	PUNCT
iajs-2554	220	4	𝛾	𝛾	PROPN
iajs-2554	220	5	=	=	SYM
iajs-2554	220	6	0.7	0.7	NUM
iajs-2554	220	7	,	,	PUNCT
iajs-2554	220	8	𝜙	𝜙	NOUN
iajs-2554	220	9	=	=	PUNCT
iajs-2554	221	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	221	2	4	4	NUM
iajs-2554	221	3	,	,	PUNCT
iajs-2554	221	4	𝑡	𝑡	NOUN
iajs-2554	221	5	=	=	SYM
iajs-2554	221	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	221	7	=	=	SYM
iajs-2554	221	8	0.5	0.5	NUM
iajs-2554	221	9	,	,	PUNCT
iajs-2554	221	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	221	11	=	=	PROPN
iajs-2554	221	12	0.5	0.5	NUM
iajs-2554	221	13	.	.	PUNCT
iajs-2554	222	1	(	(	PUNCT
iajs-2554	222	2	a	a	X
iajs-2554	222	3	)	)	PUNCT
iajs-2554	222	4	(	(	PUNCT
iajs-2554	222	5	b	b	X
iajs-2554	222	6	)	)	PUNCT
iajs-2554	222	7	figure	figure	NOUN
iajs-2554	222	8	11	11	NUM
iajs-2554	222	9	streamlines	streamline	NOUN
iajs-2554	222	10	for	for	ADP
iajs-2554	222	11	variation	variation	NOUN
iajs-2554	222	12	of	of	ADP
iajs-2554	222	13	permeability	permeability	NOUN
iajs-2554	222	14	parameter	parameter	NOUN
iajs-2554	222	15	𝜅	𝜅	ADP
iajs-2554	222	16	with	with	ADP
iajs-2554	222	17	𝐸1	𝐸1	NOUN
iajs-2554	222	18	=	=	SYM
iajs-2554	222	19	0.4	0.4	NUM
iajs-2554	222	20	,	,	PUNCT
iajs-2554	222	21	𝐸2	𝐸2	PROPN
iajs-2554	222	22	=	=	PROPN
iajs-2554	222	23	0.2	0.2	NUM
iajs-2554	222	24	,	,	PUNCT
iajs-2554	222	25	𝐸3	𝐸3	NOUN
iajs-2554	222	26	=	=	NOUN
iajs-2554	222	27	0.3	0.3	NUM
iajs-2554	222	28	𝜖	𝜖	X
iajs-2554	222	29	=	=	NOUN
iajs-2554	222	30	0.02	0.02	NUM
iajs-2554	222	31	,	,	PUNCT
iajs-2554	222	32	𝐻	𝐻	PROPN
iajs-2554	222	33	=	=	PUNCT
iajs-2554	222	34	0.2,𝑚	0.2,𝑚	PUNCT
iajs-2554	222	35	=	=	SYM
iajs-2554	222	36	0.2	0.2	NUM
iajs-2554	222	37	,	,	PUNCT
iajs-2554	222	38	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	222	39	=	=	PUNCT
iajs-2554	222	40	0.8	0.8	NUM
iajs-2554	222	41	,	,	PUNCT
iajs-2554	222	42	𝑑1	𝑑1	NOUN
iajs-2554	222	43	=	=	NOUN
iajs-2554	222	44	0.1	0.1	NUM
iajs-2554	222	45	,	,	PUNCT
iajs-2554	222	46	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	222	47	=	=	SYM
iajs-2554	222	48	0.2	0.2	NUM
iajs-2554	222	49	,	,	PUNCT
iajs-2554	222	50	𝛼	𝛼	X
iajs-2554	222	51	=	=	PUNCT
iajs-2554	223	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	223	2	6	6	NUM
iajs-2554	223	3	,	,	PUNCT
iajs-2554	223	4	𝛾	𝛾	PROPN
iajs-2554	223	5	=	=	SYM
iajs-2554	223	6	0.7	0.7	NUM
iajs-2554	223	7	,	,	PUNCT
iajs-2554	223	8	𝜙	𝜙	NOUN
iajs-2554	223	9	=	=	PUNCT
iajs-2554	224	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	224	2	4	4	NUM
iajs-2554	224	3	,	,	PUNCT
iajs-2554	224	4	𝑡	𝑡	NOUN
iajs-2554	224	5	=	=	SYM
iajs-2554	224	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	224	7	=	=	SYM
iajs-2554	224	8	0.5	0.5	NUM
iajs-2554	224	9	,	,	PUNCT
iajs-2554	224	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	224	11	=	=	PROPN
iajs-2554	224	12	0.5	0.5	NUM
iajs-2554	224	13	.	.	PUNCT
iajs-2554	225	1	(	(	PUNCT
iajs-2554	225	2	a	a	X
iajs-2554	225	3	)	)	PUNCT
iajs-2554	225	4	(	(	PUNCT
iajs-2554	225	5	b	b	NOUN
iajs-2554	225	6	)	)	PUNCT
iajs-2554	225	7	81	81	NUM
iajs-2554	225	8	ibn	ibn	PROPN
iajs-2554	225	9	al	al	PROPN
iajs-2554	225	10	-	-	PUNCT
iajs-2554	225	11	haitham	haitham	PROPN
iajs-2554	225	12	jour	jour	X
iajs-2554	225	13	.	.	PROPN
iajs-2554	225	14	for	for	ADP
iajs-2554	225	15	pure	pure	ADJ
iajs-2554	225	16	&	&	CCONJ
iajs-2554	225	17	appl	appl	PROPN
iajs-2554	225	18	.	.	PUNCT
iajs-2554	226	1	sci	sci	PROPN
iajs-2554	226	2	.	.	PROPN
iajs-2554	227	1	34	34	NUM
iajs-2554	227	2	(	(	PUNCT
iajs-2554	227	3	1	1	NUM
iajs-2554	227	4	)	)	PUNCT
iajs-2554	227	5	2021	2021	NUM
iajs-2554	227	6	figure	figure	NOUN
iajs-2554	227	7	12	12	NUM
iajs-2554	227	8	streamlines	streamline	NOUN
iajs-2554	227	9	for	for	ADP
iajs-2554	227	10	variation	variation	NOUN
iajs-2554	227	11	of	of	ADP
iajs-2554	227	12	hall	hall	NOUN
iajs-2554	227	13	number	number	NOUN
iajs-2554	227	14	𝑚	𝑚	PROPN
iajs-2554	227	15	with	with	ADP
iajs-2554	227	16	𝐸1	𝐸1	NOUN
iajs-2554	227	17	=	=	NUM
iajs-2554	227	18	0.4	0.4	NUM
iajs-2554	227	19	,	,	PUNCT
iajs-2554	227	20	𝐸2	𝐸2	PROPN
iajs-2554	227	21	=	=	PROPN
iajs-2554	227	22	0.2	0.2	NUM
iajs-2554	227	23	,	,	PUNCT
iajs-2554	227	24	𝐸3	𝐸3	NOUN
iajs-2554	227	25	=	=	NOUN
iajs-2554	227	26	0.3	0.3	NUM
iajs-2554	227	27	𝜖	𝜖	X
iajs-2554	227	28	=	=	NOUN
iajs-2554	227	29	0.02	0.02	NUM
iajs-2554	227	30	,	,	PUNCT
iajs-2554	227	31	𝐻	𝐻	NOUN
iajs-2554	227	32	=	=	NUM
iajs-2554	227	33	0.2	0.2	NUM
iajs-2554	227	34	,	,	PUNCT
iajs-2554	227	35	𝜅	𝜅	X
iajs-2554	227	36	=	=	NOUN
iajs-2554	227	37	0.2	0.2	NUM
iajs-2554	227	38	,	,	PUNCT
iajs-2554	227	39	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	227	40	=	=	PUNCT
iajs-2554	227	41	0.8	0.8	NUM
iajs-2554	227	42	,	,	PUNCT
iajs-2554	227	43	𝑑1	𝑑1	NOUN
iajs-2554	227	44	=	=	NOUN
iajs-2554	227	45	0.1	0.1	NUM
iajs-2554	227	46	,	,	PUNCT
iajs-2554	227	47	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	227	48	=	=	SYM
iajs-2554	227	49	0.2	0.2	NUM
iajs-2554	227	50	,	,	PUNCT
iajs-2554	227	51	𝛼	𝛼	X
iajs-2554	227	52	=	=	PUNCT
iajs-2554	228	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	228	2	6	6	NUM
iajs-2554	228	3	,	,	PUNCT
iajs-2554	228	4	𝛾	𝛾	PROPN
iajs-2554	228	5	=	=	SYM
iajs-2554	228	6	0.7	0.7	NUM
iajs-2554	228	7	,	,	PUNCT
iajs-2554	228	8	𝜙	𝜙	NOUN
iajs-2554	228	9	=	=	PUNCT
iajs-2554	229	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	229	2	4	4	NUM
iajs-2554	229	3	,	,	PUNCT
iajs-2554	229	4	𝑡	𝑡	NOUN
iajs-2554	229	5	=	=	SYM
iajs-2554	229	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	229	7	=	=	SYM
iajs-2554	229	8	0.5	0.5	NUM
iajs-2554	229	9	,	,	PUNCT
iajs-2554	229	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	229	11	=	=	PROPN
iajs-2554	229	12	0.5	0.5	NUM
iajs-2554	229	13	.	.	PUNCT
iajs-2554	230	1	(	(	PUNCT
iajs-2554	230	2	a	a	X
iajs-2554	230	3	)	)	PUNCT
iajs-2554	230	4	(	(	PUNCT
iajs-2554	230	5	b	b	X
iajs-2554	230	6	)	)	PUNCT
iajs-2554	230	7	figure	figure	NOUN
iajs-2554	230	8	13	13	NUM
iajs-2554	230	9	streamlines	streamline	NOUN
iajs-2554	230	10	for	for	ADP
iajs-2554	230	11	variation	variation	NOUN
iajs-2554	230	12	of	of	ADP
iajs-2554	230	13	nondimensional	nondimensional	ADJ
iajs-2554	230	14	viscosity	viscosity	NOUN
iajs-2554	230	15	parameter	parameter	NOUN
iajs-2554	230	16	𝜖	𝜖	PROPN
iajs-2554	230	17	with	with	ADP
iajs-2554	230	18	𝐸1	𝐸1	NOUN
iajs-2554	230	19	=	=	NUM
iajs-2554	230	20	0.4	0.4	NUM
iajs-2554	230	21	,	,	PUNCT
iajs-2554	230	22	𝐸2	𝐸2	PROPN
iajs-2554	230	23	=	=	PROPN
iajs-2554	230	24	0.2	0.2	NUM
iajs-2554	230	25	,	,	PUNCT
iajs-2554	230	26	𝐸3	𝐸3	NOUN
iajs-2554	230	27	=	=	NOUN
iajs-2554	230	28	0.3	0.3	NUM
iajs-2554	230	29	𝑚	𝑚	NOUN
iajs-2554	230	30	=	=	SYM
iajs-2554	230	31	0.2	0.2	NUM
iajs-2554	230	32	,	,	PUNCT
iajs-2554	230	33	𝐻	𝐻	NOUN
iajs-2554	230	34	=	=	NUM
iajs-2554	230	35	0.2	0.2	NUM
iajs-2554	230	36	,	,	PUNCT
iajs-2554	230	37	𝜅	𝜅	X
iajs-2554	230	38	=	=	NOUN
iajs-2554	230	39	0.2	0.2	NUM
iajs-2554	230	40	,	,	PUNCT
iajs-2554	230	41	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	230	42	=	=	PUNCT
iajs-2554	230	43	0.8	0.8	NUM
iajs-2554	230	44	,	,	PUNCT
iajs-2554	230	45	𝑑1	𝑑1	NOUN
iajs-2554	230	46	=	=	NOUN
iajs-2554	230	47	0.1	0.1	NUM
iajs-2554	230	48	,	,	PUNCT
iajs-2554	230	49	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	230	50	=	=	SYM
iajs-2554	230	51	0.2	0.2	NUM
iajs-2554	230	52	,	,	PUNCT
iajs-2554	230	53	𝛼	𝛼	X
iajs-2554	230	54	=	=	PUNCT
iajs-2554	231	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	231	2	6	6	NUM
iajs-2554	231	3	,	,	PUNCT
iajs-2554	231	4	𝛾	𝛾	PROPN
iajs-2554	231	5	=	=	SYM
iajs-2554	231	6	0.7	0.7	NUM
iajs-2554	231	7	,	,	PUNCT
iajs-2554	231	8	𝜙	𝜙	NOUN
iajs-2554	231	9	=	=	PUNCT
iajs-2554	232	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	232	2	4	4	NUM
iajs-2554	232	3	,	,	PUNCT
iajs-2554	232	4	𝑡	𝑡	NOUN
iajs-2554	232	5	=	=	SYM
iajs-2554	232	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	232	7	=	=	SYM
iajs-2554	232	8	0.5	0.5	NUM
iajs-2554	232	9	,	,	PUNCT
iajs-2554	232	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	232	11	=	=	PROPN
iajs-2554	232	12	0.5	0.5	NUM
iajs-2554	232	13	.	.	PUNCT
iajs-2554	233	1	(	(	PUNCT
iajs-2554	233	2	a	a	X
iajs-2554	233	3	)	)	PUNCT
iajs-2554	233	4	(	(	PUNCT
iajs-2554	233	5	b	b	NOUN
iajs-2554	233	6	)	)	PUNCT
iajs-2554	233	7	82	82	NUM
iajs-2554	234	1	ibn	ibn	PROPN
iajs-2554	234	2	al	al	PROPN
iajs-2554	234	3	-	-	PUNCT
iajs-2554	234	4	haitham	haitham	PROPN
iajs-2554	234	5	jour	jour	X
iajs-2554	234	6	.	.	PROPN
iajs-2554	234	7	for	for	ADP
iajs-2554	234	8	pure	pure	ADJ
iajs-2554	234	9	&	&	CCONJ
iajs-2554	234	10	appl	appl	PROPN
iajs-2554	234	11	.	.	PUNCT
iajs-2554	235	1	sci	sci	PROPN
iajs-2554	235	2	.	.	PROPN
iajs-2554	236	1	34	34	NUM
iajs-2554	236	2	(	(	PUNCT
iajs-2554	236	3	1	1	NUM
iajs-2554	236	4	)	)	PUNCT
iajs-2554	236	5	2021	2021	NUM
iajs-2554	236	6	figure	figure	NOUN
iajs-2554	236	7	14	14	NUM
iajs-2554	236	8	streamlines	streamline	NOUN
iajs-2554	236	9	for	for	ADP
iajs-2554	236	10	variation	variation	NOUN
iajs-2554	236	11	of	of	ADP
iajs-2554	236	12	froude	froude	ADJ
iajs-2554	236	13	number	number	NOUN
iajs-2554	236	14	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	236	15	with	with	ADP
iajs-2554	236	16	𝐸1	𝐸1	NOUN
iajs-2554	236	17	=	=	NUM
iajs-2554	236	18	0.4	0.4	NUM
iajs-2554	236	19	,	,	PUNCT
iajs-2554	236	20	𝐸2	𝐸2	PROPN
iajs-2554	236	21	=	=	PROPN
iajs-2554	236	22	0.2	0.2	NUM
iajs-2554	236	23	,	,	PUNCT
iajs-2554	236	24	𝐸3	𝐸3	NOUN
iajs-2554	236	25	=	=	NOUN
iajs-2554	236	26	0.3	0.3	NUM
iajs-2554	236	27	𝑚	𝑚	NOUN
iajs-2554	236	28	=	=	SYM
iajs-2554	236	29	0.2	0.2	NUM
iajs-2554	236	30	,	,	PUNCT
iajs-2554	236	31	𝐻	𝐻	NOUN
iajs-2554	236	32	=	=	NUM
iajs-2554	236	33	0.2	0.2	NUM
iajs-2554	236	34	,	,	PUNCT
iajs-2554	236	35	𝜅	𝜅	X
iajs-2554	236	36	=	=	NOUN
iajs-2554	236	37	0.2	0.2	NUM
iajs-2554	236	38	,	,	PUNCT
iajs-2554	236	39	𝜖	𝜖	X
iajs-2554	236	40	=	=	SYM
iajs-2554	236	41	0.8	0.8	NUM
iajs-2554	236	42	,	,	PUNCT
iajs-2554	236	43	𝑑1	𝑑1	NOUN
iajs-2554	236	44	=	=	NOUN
iajs-2554	236	45	0.1	0.1	NUM
iajs-2554	236	46	,	,	PUNCT
iajs-2554	236	47	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	236	48	=	=	SYM
iajs-2554	236	49	0.2	0.2	NUM
iajs-2554	236	50	,	,	PUNCT
iajs-2554	236	51	𝛼	𝛼	X
iajs-2554	236	52	=	=	PUNCT
iajs-2554	237	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	237	2	6	6	NUM
iajs-2554	237	3	,	,	PUNCT
iajs-2554	237	4	𝛾	𝛾	PROPN
iajs-2554	237	5	=	=	SYM
iajs-2554	237	6	0.7	0.7	NUM
iajs-2554	237	7	,	,	PUNCT
iajs-2554	237	8	𝜙	𝜙	NOUN
iajs-2554	237	9	=	=	PUNCT
iajs-2554	238	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	238	2	4	4	NUM
iajs-2554	238	3	,	,	PUNCT
iajs-2554	238	4	𝑡	𝑡	NOUN
iajs-2554	238	5	=	=	SYM
iajs-2554	238	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	238	7	=	=	SYM
iajs-2554	238	8	0.5	0.5	NUM
iajs-2554	238	9	,	,	PUNCT
iajs-2554	238	10	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	238	11	=	=	PROPN
iajs-2554	238	12	0.5	0.5	NUM
iajs-2554	238	13	.	.	PUNCT
iajs-2554	239	1	(	(	PUNCT
iajs-2554	239	2	a	a	X
iajs-2554	239	3	)	)	PUNCT
iajs-2554	239	4	(	(	PUNCT
iajs-2554	239	5	b	b	X
iajs-2554	239	6	)	)	PUNCT
iajs-2554	239	7	figure	figure	NOUN
iajs-2554	239	8	15	15	NUM
iajs-2554	239	9	streamlines	streamline	NOUN
iajs-2554	239	10	for	for	ADP
iajs-2554	239	11	variation	variation	NOUN
iajs-2554	239	12	of	of	ADP
iajs-2554	239	13	bingham	bingham	PROPN
iajs-2554	239	14	number	number	NOUN
iajs-2554	239	15	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	239	16	with	with	ADP
iajs-2554	239	17	𝐸1	𝐸1	NOUN
iajs-2554	239	18	=	=	NUM
iajs-2554	239	19	0.4	0.4	NUM
iajs-2554	239	20	,	,	PUNCT
iajs-2554	239	21	𝐸2	𝐸2	PROPN
iajs-2554	239	22	=	=	PROPN
iajs-2554	239	23	0.2	0.2	NUM
iajs-2554	239	24	,	,	PUNCT
iajs-2554	239	25	𝐸3	𝐸3	NOUN
iajs-2554	239	26	=	=	NOUN
iajs-2554	239	27	0.3	0.3	NUM
iajs-2554	239	28	𝑚	𝑚	NOUN
iajs-2554	239	29	=	=	SYM
iajs-2554	239	30	0.2	0.2	NUM
iajs-2554	239	31	,	,	PUNCT
iajs-2554	239	32	𝐻	𝐻	NOUN
iajs-2554	239	33	=	=	NUM
iajs-2554	239	34	0.2	0.2	NUM
iajs-2554	239	35	,	,	PUNCT
iajs-2554	239	36	𝜅	𝜅	X
iajs-2554	239	37	=	=	NOUN
iajs-2554	239	38	0.2	0.2	NUM
iajs-2554	239	39	,	,	PUNCT
iajs-2554	239	40	𝜖	𝜖	X
iajs-2554	239	41	=	=	SYM
iajs-2554	239	42	0.8	0.8	NUM
iajs-2554	239	43	,	,	PUNCT
iajs-2554	239	44	𝑑1	𝑑1	NOUN
iajs-2554	239	45	=	=	NOUN
iajs-2554	239	46	0.1	0.1	NUM
iajs-2554	239	47	,	,	PUNCT
iajs-2554	239	48	𝑅𝑒	𝑅𝑒	PROPN
iajs-2554	239	49	=	=	SYM
iajs-2554	239	50	0.2	0.2	NUM
iajs-2554	239	51	,	,	PUNCT
iajs-2554	239	52	𝛼	𝛼	X
iajs-2554	239	53	=	=	PUNCT
iajs-2554	240	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	240	2	6	6	NUM
iajs-2554	240	3	,	,	PUNCT
iajs-2554	240	4	𝛾	𝛾	PROPN
iajs-2554	240	5	=	=	SYM
iajs-2554	240	6	0.7	0.7	NUM
iajs-2554	240	7	,	,	PUNCT
iajs-2554	240	8	𝜙	𝜙	NOUN
iajs-2554	240	9	=	=	PUNCT
iajs-2554	241	1	𝑃𝑖	𝑃𝑖	ADP
iajs-2554	241	2	4	4	NUM
iajs-2554	241	3	,	,	PUNCT
iajs-2554	241	4	𝑡	𝑡	NOUN
iajs-2554	241	5	=	=	SYM
iajs-2554	241	6	0.1,𝑚1	0.1,𝑚1	NOUN
iajs-2554	241	7	=	=	SYM
iajs-2554	241	8	0.5	0.5	NUM
iajs-2554	241	9	,	,	PUNCT
iajs-2554	241	10	𝐹𝑟	𝐹𝑟	PROPN
iajs-2554	241	11	=	=	SYM
iajs-2554	241	12	0.5	0.5	NUM
iajs-2554	241	13	.	.	PUNCT
iajs-2554	242	1	83	83	NUM
iajs-2554	242	2	ibn	ibn	PROPN
iajs-2554	242	3	al	al	PROPN
iajs-2554	242	4	-	-	PUNCT
iajs-2554	242	5	haitham	haitham	PROPN
iajs-2554	242	6	jour	jour	X
iajs-2554	242	7	.	.	PROPN
iajs-2554	242	8	for	for	ADP
iajs-2554	242	9	pure	pure	ADJ
iajs-2554	242	10	&	&	CCONJ
iajs-2554	242	11	appl	appl	PROPN
iajs-2554	242	12	.	.	PUNCT
iajs-2554	243	1	sci	sci	PROPN
iajs-2554	243	2	.	.	PROPN
iajs-2554	244	1	34	34	NUM
iajs-2554	244	2	(	(	PUNCT
iajs-2554	244	3	1	1	NUM
iajs-2554	244	4	)	)	PUNCT
iajs-2554	244	5	2021	2021	NUM
iajs-2554	244	6	5	5	NUM
iajs-2554	244	7	.	.	PUNCT
iajs-2554	245	1	conclusions	conclusion	NOUN
iajs-2554	245	2	the	the	DET
iajs-2554	245	3	peristaltic	peristaltic	ADJ
iajs-2554	245	4	transport	transport	NOUN
iajs-2554	245	5	of	of	ADP
iajs-2554	245	6	nonnewtonian	nonnewtonian	NOUN
iajs-2554	245	7	bingham	bingham	PROPN
iajs-2554	245	8	plastic	plastic	NOUN
iajs-2554	245	9	fluid	fluid	NOUN
iajs-2554	245	10	with	with	ADP
iajs-2554	245	11	variable	variable	ADJ
iajs-2554	245	12	viscosity	viscosity	NOUN
iajs-2554	245	13	in	in	ADP
iajs-2554	245	14	an	an	DET
iajs-2554	245	15	inclined	inclined	ADJ
iajs-2554	245	16	tapered	tapered	ADJ
iajs-2554	245	17	asymmetric	asymmetric	ADJ
iajs-2554	245	18	channel	channel	NOUN
iajs-2554	245	19	is	be	AUX
iajs-2554	245	20	performed	perform	VERB
iajs-2554	245	21	,	,	PUNCT
iajs-2554	245	22	taking	take	VERB
iajs-2554	245	23	into	into	ADP
iajs-2554	245	24	account	account	NOUN
iajs-2554	245	25	hall	hall	NOUN
iajs-2554	245	26	and	and	CCONJ
iajs-2554	245	27	joule	joule	PROPN
iajs-2554	245	28	's	's	PART
iajs-2554	245	29	heating	heating	NOUN
iajs-2554	245	30	influences	influence	NOUN
iajs-2554	245	31	.	.	PUNCT
iajs-2554	246	1	adopting	adopt	VERB
iajs-2554	246	2	assumptions	assumption	NOUN
iajs-2554	246	3	of	of	ADP
iajs-2554	246	4	long	long	ADJ
iajs-2554	246	5	wavelength	wavelength	NOUN
iajs-2554	246	6	and	and	CCONJ
iajs-2554	246	7	low	low	ADJ
iajs-2554	246	8	reynolds	reynolds	PROPN
iajs-2554	246	9	number	number	NOUN
iajs-2554	246	10	the	the	DET
iajs-2554	246	11	problem	problem	NOUN
iajs-2554	246	12	is	be	AUX
iajs-2554	246	13	modeled	model	VERB
iajs-2554	246	14	and	and	CCONJ
iajs-2554	246	15	reduced	reduce	VERB
iajs-2554	246	16	into	into	ADP
iajs-2554	246	17	a	a	DET
iajs-2554	246	18	pair	pair	NOUN
iajs-2554	246	19	of	of	ADP
iajs-2554	246	20	nonlinear	nonlinear	ADJ
iajs-2554	246	21	differential	differential	ADJ
iajs-2554	246	22	equations	equation	NOUN
iajs-2554	246	23	which	which	PRON
iajs-2554	246	24	are	be	AUX
iajs-2554	246	25	solved	solve	VERB
iajs-2554	246	26	approximately	approximately	ADV
iajs-2554	246	27	by	by	ADP
iajs-2554	246	28	using	use	VERB
iajs-2554	246	29	a	a	DET
iajs-2554	246	30	perturbation	perturbation	NOUN
iajs-2554	246	31	method	method	NOUN
iajs-2554	246	32	.	.	PUNCT
iajs-2554	247	1	a	a	DET
iajs-2554	247	2	parametric	parametric	ADJ
iajs-2554	247	3	analysis	analysis	NOUN
iajs-2554	247	4	is	be	AUX
iajs-2554	247	5	permitted	permit	VERB
iajs-2554	247	6	through	through	ADP
iajs-2554	247	7	various	various	ADJ
iajs-2554	247	8	graphs	graph	NOUN
iajs-2554	247	9	that	that	PRON
iajs-2554	247	10	made	make	VERB
iajs-2554	247	11	us	we	PRON
iajs-2554	247	12	outcome	outcome	VERB
iajs-2554	247	13	with	with	ADP
iajs-2554	247	14	some	some	DET
iajs-2554	247	15	following	follow	VERB
iajs-2554	247	16	important	important	ADJ
iajs-2554	247	17	observations	observation	NOUN
iajs-2554	247	18	1	1	NUM
iajs-2554	247	19	.	.	PUNCT
iajs-2554	248	1	the	the	DET
iajs-2554	248	2	velocity	velocity	NOUN
iajs-2554	248	3	profile	profile	NOUN
iajs-2554	248	4	is	be	AUX
iajs-2554	248	5	an	an	DET
iajs-2554	248	6	increasing	increase	VERB
iajs-2554	248	7	function	function	NOUN
iajs-2554	248	8	of	of	ADP
iajs-2554	248	9	𝑚,∅	𝑚,∅	NOUN
iajs-2554	248	10	,	,	PUNCT
iajs-2554	248	11	𝜅	𝜅	ADP
iajs-2554	248	12	,	,	PUNCT
iajs-2554	248	13	and	and	CCONJ
iajs-2554	248	14	wall	wall	PROPN
iajs-2554	248	15	elasticity	elasticity	NOUN
iajs-2554	248	16	parameters	parameter	NOUN
iajs-2554	248	17	whereas	whereas	SCONJ
iajs-2554	248	18	it	it	PRON
iajs-2554	248	19	decreases	decrease	VERB
iajs-2554	248	20	with	with	ADP
iajs-2554	248	21	arise	arise	NOUN
iajs-2554	248	22	up	up	ADP
iajs-2554	248	23	of	of	ADP
iajs-2554	248	24	𝐻,and	𝐻,and	PROPN
iajs-2554	248	25	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	248	26	parameters	parameter	NOUN
iajs-2554	248	27	.	.	PUNCT
iajs-2554	249	1	2	2	X
iajs-2554	249	2	.	.	X
iajs-2554	249	3	it	it	PRON
iajs-2554	249	4	is	be	AUX
iajs-2554	249	5	observed	observe	VERB
iajs-2554	249	6	from	from	ADP
iajs-2554	249	7	the	the	DET
iajs-2554	249	8	figures	figure	NOUN
iajs-2554	249	9	that	that	SCONJ
iajs-2554	249	10	the	the	DET
iajs-2554	249	11	froude	froude	ADJ
iajs-2554	249	12	number	number	NOUN
iajs-2554	249	13	is	be	AUX
iajs-2554	249	14	oppositely	oppositely	ADV
iajs-2554	249	15	affected	affect	VERB
iajs-2554	249	16	by	by	ADP
iajs-2554	249	17	the	the	DET
iajs-2554	249	18	temperature	temperature	NOUN
iajs-2554	249	19	distribution	distribution	NOUN
iajs-2554	249	20	profile	profile	NOUN
iajs-2554	249	21	.	.	PUNCT
iajs-2554	250	1	3	3	X
iajs-2554	250	2	.	.	X
iajs-2554	250	3	hartman	hartman	PROPN
iajs-2554	250	4	number𝐻	number𝐻	PROPN
iajs-2554	250	5	impact	impact	NOUN
iajs-2554	250	6	on	on	ADP
iajs-2554	250	7	temperature	temperature	NOUN
iajs-2554	250	8	profile	profile	NOUN
iajs-2554	250	9	totally	totally	ADV
iajs-2554	250	10	revers	rever	NOUN
iajs-2554	250	11	hall	hall	NOUN
iajs-2554	250	12	number	number	NOUN
iajs-2554	250	13	𝑚	𝑚	ADP
iajs-2554	250	14	effect	effect	NOUN
iajs-2554	250	15	i.e.	i.e.	X
iajs-2554	250	16	the	the	DET
iajs-2554	250	17	first	first	ADJ
iajs-2554	250	18	one	one	NUM
iajs-2554	250	19	shows	show	VERB
iajs-2554	250	20	a	a	DET
iajs-2554	250	21	reduction	reduction	NOUN
iajs-2554	250	22	behavior	behavior	NOUN
iajs-2554	250	23	while	while	SCONJ
iajs-2554	250	24	hall	hall	NOUN
iajs-2554	250	25	number	number	NOUN
iajs-2554	250	26	enhances	enhance	VERB
iajs-2554	250	27	it	it	PRON
iajs-2554	250	28	.	.	PUNCT
iajs-2554	251	1	4	4	X
iajs-2554	251	2	.	.	X
iajs-2554	251	3	the	the	DET
iajs-2554	251	4	absolute	absolute	ADJ
iajs-2554	251	5	heat	heat	NOUN
iajs-2554	251	6	transfer	transfer	NOUN
iajs-2554	251	7	shows	show	VERB
iajs-2554	251	8	an	an	DET
iajs-2554	251	9	oscillatory	oscillatory	ADJ
iajs-2554	251	10	behavior	behavior	NOUN
iajs-2554	251	11	along	along	ADP
iajs-2554	251	12	the	the	DET
iajs-2554	251	13	length	length	NOUN
iajs-2554	251	14	of	of	ADP
iajs-2554	251	15	peristaltic	peristaltic	ADJ
iajs-2554	251	16	wave	wave	NOUN
iajs-2554	251	17	as	as	ADV
iajs-2554	251	18	well	well	ADV
iajs-2554	251	19	as	as	ADP
iajs-2554	251	20	it	it	PRON
iajs-2554	251	21	depicts	depict	VERB
iajs-2554	251	22	a	a	DET
iajs-2554	251	23	mixed	mixed	ADJ
iajs-2554	251	24	behavior	behavior	NOUN
iajs-2554	251	25	for	for	ADP
iajs-2554	251	26	a	a	DET
iajs-2554	251	27	larger	large	ADJ
iajs-2554	251	28	value	value	NOUN
iajs-2554	251	29	of	of	ADP
iajs-2554	251	30	phase	phase	NOUN
iajs-2554	251	31	difference	difference	NOUN
iajs-2554	251	32	parameter	parameter	NOUN
iajs-2554	251	33	𝜙.	𝜙.	NOUN
iajs-2554	251	34	5	5	NUM
iajs-2554	251	35	.	.	PUNCT
iajs-2554	252	1	the	the	DET
iajs-2554	252	2	trapping	trap	VERB
iajs-2554	252	3	phenomenon	phenomenon	NOUN
iajs-2554	252	4	is	be	AUX
iajs-2554	252	5	divided	divide	VERB
iajs-2554	252	6	into	into	ADP
iajs-2554	252	7	two	two	NUM
iajs-2554	252	8	asymmetric	asymmetric	ADJ
iajs-2554	252	9	regions	region	NOUN
iajs-2554	252	10	,	,	PUNCT
iajs-2554	252	11	and	and	CCONJ
iajs-2554	252	12	from	from	ADP
iajs-2554	252	13	the	the	DET
iajs-2554	252	14	figures	figure	NOUN
iajs-2554	252	15	one	one	PRON
iajs-2554	252	16	can	can	AUX
iajs-2554	252	17	notice	notice	VERB
iajs-2554	252	18	that	that	SCONJ
iajs-2554	252	19	the	the	DET
iajs-2554	252	20	trapped	trap	VERB
iajs-2554	252	21	bolus	bolus	ADJ
iajs-2554	252	22	increases	increase	NOUN
iajs-2554	252	23	in	in	ADP
iajs-2554	252	24	size	size	NOUN
iajs-2554	252	25	and	and	CCONJ
iajs-2554	252	26	circulation	circulation	NOUN
iajs-2554	252	27	as	as	ADP
iajs-2554	252	28	𝐸1	𝐸1	NOUN
iajs-2554	252	29	,	,	PUNCT
iajs-2554	252	30	𝐸2	𝐸2	ADJ
iajs-2554	252	31	increase	increase	NOUN
iajs-2554	252	32	whereas	whereas	SCONJ
iajs-2554	252	33	it	it	PRON
iajs-2554	252	34	decreases	decrease	VERB
iajs-2554	252	35	for	for	ADP
iajs-2554	252	36	a	a	DET
iajs-2554	252	37	higher	high	ADJ
iajs-2554	252	38	magnitude	magnitude	NOUN
iajs-2554	252	39	of	of	ADP
iajs-2554	252	40	𝐸3	𝐸3	NOUN
iajs-2554	252	41	.	.	PUNCT
iajs-2554	253	1	6	6	NUM
iajs-2554	253	2	.	.	PUNCT
iajs-2554	253	3	the	the	DET
iajs-2554	253	4	trapped	trap	VERB
iajs-2554	253	5	bolus	bolus	NOUN
iajs-2554	253	6	remains	remain	VERB
iajs-2554	253	7	unchanged	unchanged	ADJ
iajs-2554	253	8	in	in	ADP
iajs-2554	253	9	size	size	NOUN
iajs-2554	253	10	when	when	SCONJ
iajs-2554	253	11	bingham	bingham	PROPN
iajs-2554	253	12	number	number	NOUN
iajs-2554	253	13	𝐵𝑛	𝐵𝑛	PROPN
iajs-2554	253	14	enhances	enhance	VERB
iajs-2554	253	15	.	.	PUNCT
iajs-2554	254	1	references	reference	NOUN
iajs-2554	254	2	1	1	NUM
iajs-2554	254	3	.	.	PUNCT
iajs-2554	255	1	mirsa	mirsa	PROPN
iajs-2554	255	2	,	,	PUNCT
iajs-2554	255	3	j.c	j.c	PROPN
iajs-2554	255	4	.	.	PROPN
iajs-2554	255	5	;	;	PUNCT
iajs-2554	255	6	mallick	mallick	PROPN
iajs-2554	255	7	,	,	PUNCT
iajs-2554	255	8	b.	b.	PROPN
iajs-2554	255	9	;	;	PUNCT
iajs-2554	255	10	sinha	sinha	NOUN
iajs-2554	255	11	,	,	PUNCT
iajs-2554	255	12	a.	a.	NOUN
iajs-2554	255	13	heat	heat	NOUN
iajs-2554	255	14	and	and	CCONJ
iajs-2554	255	15	mass	mass	ADJ
iajs-2554	255	16	transfer	transfer	NOUN
iajs-2554	255	17	in	in	ADP
iajs-2554	255	18	asymmetric	asymmetric	ADJ
iajs-2554	255	19	channel	channel	NOUN
iajs-2554	255	20	during	during	ADP
iajs-2554	255	21	peristaltic	peristaltic	ADJ
iajs-2554	255	22	transport	transport	NOUN
iajs-2554	255	23	on	on	ADP
iajs-2554	255	24	mhd	mhd	NOUN
iajs-2554	255	25	fluid	fluid	NOUN
iajs-2554	255	26	having	have	VERB
iajs-2554	255	27	temperature	temperature	NOUN
iajs-2554	255	28	-	-	PUNCT
iajs-2554	255	29	dependent	dependent	ADJ
iajs-2554	255	30	properties	property	NOUN
iajs-2554	255	31	,	,	PUNCT
iajs-2554	255	32	alexandria	alexandria	PROPN
iajs-2554	255	33	eng	eng	PROPN
iajs-2554	255	34	.	.	PUNCT
iajs-2554	256	1	2018,57	2018,57	NUM
iajs-2554	256	2	,	,	PUNCT
iajs-2554	256	3	391	391	NUM
iajs-2554	256	4	-	-	SYM
iajs-2554	256	5	406	406	NUM
iajs-2554	256	6	.	.	PUNCT
iajs-2554	257	1	2	2	NUM
iajs-2554	257	2	.	.	X
iajs-2554	257	3	hayat	hayat	PROPN
iajs-2554	257	4	,	,	PUNCT
iajs-2554	257	5	t.	t.	PROPN
iajs-2554	257	6	;	;	PUNCT
iajs-2554	257	7	igbal	igbal	ADJ
iajs-2554	257	8	rija	rija	NOUN
iajs-2554	257	9	;	;	PUNCT
iajs-2554	257	10	tanveer	tanveer	PROPN
iajs-2554	257	11	anum	anum	PROPN
iajs-2554	257	12	;	;	PUNCT
iajs-2554	257	13	alsaedi	alsaedi	PROPN
iajs-2554	257	14	,	,	PUNCT
iajs-2554	257	15	a.	a.	NOUN
iajs-2554	257	16	influence	influence	NOUN
iajs-2554	257	17	of	of	ADP
iajs-2554	257	18	convective	convective	ADJ
iajs-2554	257	19	conditions	condition	NOUN
iajs-2554	257	20	in	in	ADP
iajs-2554	257	21	radiative	radiative	ADJ
iajs-2554	257	22	peristaltic	peristaltic	ADJ
iajs-2554	257	23	flow	flow	NOUN
iajs-2554	257	24	of	of	ADP
iajs-2554	257	25	pseudo	pseudo	NOUN
iajs-2554	257	26	plastic	plastic	NOUN
iajs-2554	257	27	nano	nano	NOUN
iajs-2554	257	28	fluid	fluid	NOUN
iajs-2554	257	29	in	in	ADP
iajs-2554	257	30	a	a	DET
iajs-2554	257	31	tapered	tapered	ADJ
iajs-2554	257	32	asymmetric	asymmetric	ADJ
iajs-2554	257	33	channel	channel	NOUN
iajs-2554	257	34	,	,	PUNCT
iajs-2554	257	35	j.	j.	PROPN
iajs-2554	257	36	magn	magn	PROPN
iajs-2554	257	37	.	.	PUNCT
iajs-2554	258	1	magn	magn	PROPN
iajs-2554	258	2	.	.	PUNCT
iajs-2554	259	1	mater	mater	PROPN
iajs-2554	259	2	.	.	PUNCT
iajs-2554	260	1	2016,408	2016,408	NUM
iajs-2554	260	2	.	.	X
iajs-2554	261	1	3	3	X
iajs-2554	261	2	.	.	X
iajs-2554	261	3	adnan	adnan	PROPN
iajs-2554	261	4	,	,	PUNCT
iajs-2554	261	5	f.a	f.a	PROPN
iajs-2554	261	6	.	.	PROPN
iajs-2554	261	7	;	;	PUNCT
iajs-2554	261	8	abdualhadi	abdualhadi	NOUN
iajs-2554	261	9	,	,	PUNCT
iajs-2554	261	10	a.m.	a.m.	ADV
iajs-2554	261	11	effect	effect	NOUN
iajs-2554	261	12	of	of	ADP
iajs-2554	261	13	a	a	DET
iajs-2554	261	14	magnetic	magnetic	ADJ
iajs-2554	261	15	field	field	NOUN
iajs-2554	261	16	on	on	ADP
iajs-2554	261	17	a	a	DET
iajs-2554	261	18	peristaltic	peristaltic	ADJ
iajs-2554	261	19	transport	transport	NOUN
iajs-2554	261	20	of	of	ADP
iajs-2554	261	21	bingham	bingham	PROPN
iajs-2554	261	22	plastic	plastic	NOUN
iajs-2554	261	23	fluid	fluid	NOUN
iajs-2554	261	24	in	in	ADP
iajs-2554	261	25	asymmetrical	asymmetrical	ADJ
iajs-2554	261	26	channel	channel	NOUN
iajs-2554	261	27	.	.	PUNCT
iajs-2554	262	1	sci	sci	PROPN
iajs-2554	262	2	.	.	PUNCT
iajs-2554	262	3	int	int	PROPN
iajs-2554	262	4	.	.	PUNCT
iajs-2554	263	1	(	(	PUNCT
iajs-2554	263	2	lhore).2019	lhore).2019	PROPN
iajs-2554	263	3	,	,	PUNCT
iajs-2554	263	4	31	31	NUM
iajs-2554	263	5	,	,	PUNCT
iajs-2554	263	6	1	1	NUM
iajs-2554	263	7	,	,	PUNCT
iajs-2554	263	8	29	29	NUM
iajs-2554	263	9	-	-	SYM
iajs-2554	263	10	40	40	NUM
iajs-2554	263	11	.	.	PUNCT
iajs-2554	264	1	4	4	X
iajs-2554	264	2	.	.	X
iajs-2554	264	3	ali	ali	PROPN
iajs-2554	264	4	nasir	nasir	PROPN
iajs-2554	264	5	;	;	PUNCT
iajs-2554	264	6	asghar	asghar	PROPN
iajs-2554	264	7	zaheer	zaheer	PROPN
iajs-2554	264	8	.	.	PUNCT
iajs-2554	265	1	mixed	mixed	ADJ
iajs-2554	265	2	convective	convective	ADJ
iajs-2554	265	3	heat	heat	NOUN
iajs-2554	265	4	transfer	transfer	NOUN
iajs-2554	265	5	analysis	analysis	NOUN
iajs-2554	265	6	for	for	ADP
iajs-2554	265	7	the	the	DET
iajs-2554	265	8	peristaltic	peristaltic	ADJ
iajs-2554	265	9	transport	transport	NOUN
iajs-2554	265	10	of	of	ADP
iajs-2554	265	11	visco	visco	ADJ
iajs-2554	265	12	plastic	plastic	NOUN
iajs-2554	265	13	fluid	fluid	NOUN
iajs-2554	265	14	:	:	PUNCT
iajs-2554	265	15	perturbation	perturbation	NOUN
iajs-2554	265	16	and	and	CCONJ
iajs-2554	265	17	numerical	numerical	PROPN
iajs-2554	265	18	study	study	PROPN
iajs-2554	265	19	,	,	PUNCT
iajs-2554	265	20	aip	aip	PROPN
iajs-2554	265	21	advances.2019	advances.2019	PROPN
iajs-2554	265	22	,	,	PUNCT
iajs-2554	265	23	9	9	NUM
iajs-2554	265	24	,	,	PUNCT
iajs-2554	265	25	095001	095001	NUM
iajs-2554	265	26	-	-	SYM
iajs-2554	265	27	1	1	NUM
iajs-2554	265	28	-	-	PUNCT
iajs-2554	265	29	9	9	NUM
iajs-2554	265	30	,	,	PUNCT
iajs-2554	265	31	095001	095001	NUM
iajs-2554	265	32	-	-	SYM
iajs-2554	265	33	10	10	NUM
iajs-2554	265	34	.	.	X
iajs-2554	266	1	5	5	X
iajs-2554	266	2	.	.	X
iajs-2554	266	3	hina	hina	PROPN
iajs-2554	266	4	,	,	PUNCT
iajs-2554	266	5	s.	s.	PROPN
iajs-2554	266	6	;	;	PUNCT
iajs-2554	266	7	mustafa	mustafa	PROPN
iajs-2554	266	8	,	,	PUNCT
iajs-2554	266	9	m.	m.	NOUN
iajs-2554	266	10	;	;	PUNCT
iajs-2554	266	11	hayat	hayat	PROPN
iajs-2554	266	12	,	,	PUNCT
iajs-2554	266	13	t.	t.	PROPN
iajs-2554	266	14	;	;	PUNCT
iajs-2554	266	15	alsaedi	alsaedi	PROPN
iajs-2554	266	16	,	,	PUNCT
iajs-2554	266	17	a.	a.	NOUN
iajs-2554	266	18	peristaltic	peristaltic	ADJ
iajs-2554	266	19	flow	flow	NOUN
iajs-2554	266	20	of	of	ADP
iajs-2554	266	21	powell	powell	NOUN
iajs-2554	266	22	-	-	PUNCT
iajs-2554	266	23	eyring	eyre	VERB
iajs-2554	266	24	fluid	fluid	NOUN
iajs-2554	266	25	in	in	ADP
iajs-2554	266	26	curved	curved	ADJ
iajs-2554	266	27	channel	channel	NOUN
iajs-2554	266	28	with	with	ADP
iajs-2554	266	29	heat	heat	NOUN
iajs-2554	266	30	transfer	transfer	NOUN
iajs-2554	266	31	:	:	PUNCT
iajs-2554	266	32	a	a	DET
iajs-2554	266	33	useful	useful	ADJ
iajs-2554	266	34	application	application	NOUN
iajs-2554	266	35	in	in	ADP
iajs-2554	266	36	biomedicine	biomedicine	NOUN
iajs-2554	266	37	,	,	PUNCT
iajs-2554	266	38	computer	computer	NOUN
iajs-2554	266	39	methods	method	NOUN
iajs-2554	266	40	and	and	CCONJ
iajs-2554	266	41	programming	programming	NOUN
iajs-2554	266	42	in	in	ADP
iajs-2554	266	43	biomedicine	biomedicine	NOUN
iajs-2554	266	44	135	135	NUM
iajs-2554	266	45	.	.	NOUN
iajs-2554	266	46	2016	2016	NUM
iajs-2554	266	47	,	,	PUNCT
iajs-2554	266	48	89	89	NUM
iajs-2554	266	49	-	-	SYM
iajs-2554	266	50	100	100	NUM
iajs-2554	266	51	.	.	PUNCT
iajs-2554	267	1	6	6	NUM
iajs-2554	267	2	.	.	X
iajs-2554	267	3	hayat	hayat	PROPN
iajs-2554	267	4	,	,	PUNCT
iajs-2554	267	5	a.ali	a.ali	ADJ
iajs-2554	267	6	;	;	PUNCT
iajs-2554	267	7	ahmed	ahmed	PROPN
iajs-2554	267	8	,	,	PUNCT
iajs-2554	267	9	m.	m.	NOUN
iajs-2554	267	10	abdulhadi	abdulhadi	PROPN
iajs-2554	267	11	.	.	PUNCT
iajs-2554	268	1	analysis	analysis	NOUN
iajs-2554	268	2	of	of	ADP
iajs-2554	268	3	heat	heat	NOUN
iajs-2554	268	4	transfer	transfer	NOUN
iajs-2554	268	5	on	on	ADP
iajs-2554	268	6	peristaltic	peristaltic	ADJ
iajs-2554	268	7	transport	transport	NOUN
iajs-2554	268	8	of	of	ADP
iajs-2554	268	9	powelleyring	powelleyre	VERB
iajs-2554	268	10	fluid	fluid	NOUN
iajs-2554	268	11	in	in	ADP
iajs-2554	268	12	an	an	DET
iajs-2554	268	13	inclined	inclined	ADJ
iajs-2554	268	14	tapered	tapered	ADJ
iajs-2554	268	15	symmetric	symmetric	ADJ
iajs-2554	268	16	channel	channel	NOUN
iajs-2554	268	17	with	with	ADP
iajs-2554	268	18	hall	hall	NOUN
iajs-2554	268	19	and	and	CCONJ
iajs-2554	268	20	ohm	ohm	NOUN
iajs-2554	268	21	's	's	PART
iajs-2554	268	22	heating	heating	NOUN
iajs-2554	268	23	influences	influence	NOUN
iajs-2554	268	24	,	,	PUNCT
iajs-2554	268	25	journal	journal	NOUN
iajs-2554	268	26	of	of	ADP
iajs-2554	268	27	al	al	PROPN
iajs-2554	268	28	-	-	PUNCT
iajs-2554	268	29	qadisiyah	qadisiyah	NOUN
iajs-2554	268	30	for	for	ADP
iajs-2554	268	31	computer	computer	NOUN
iajs-2554	268	32	science	science	NOUN
iajs-2554	268	33	and	and	CCONJ
iajs-2554	268	34	mathematics.2018,10	mathematics.2018,10	NOUN
iajs-2554	268	35	,	,	PUNCT
iajs-2554	268	36	2	2	X
iajs-2554	268	37	.	.	NUM
iajs-2554	268	38	84	84	NUM
iajs-2554	269	1	ibn	ibn	PROPN
iajs-2554	269	2	al	al	PROPN
iajs-2554	269	3	-	-	PUNCT
iajs-2554	269	4	haitham	haitham	PROPN
iajs-2554	269	5	jour	jour	X
iajs-2554	269	6	.	.	PROPN
iajs-2554	269	7	for	for	ADP
iajs-2554	269	8	pure	pure	ADJ
iajs-2554	269	9	&	&	CCONJ
iajs-2554	269	10	appl	appl	PROPN
iajs-2554	269	11	.	.	PUNCT
iajs-2554	270	1	sci	sci	PROPN
iajs-2554	270	2	.	.	PROPN
iajs-2554	271	1	34	34	NUM
iajs-2554	271	2	(	(	PUNCT
iajs-2554	271	3	1	1	NUM
iajs-2554	271	4	)	)	PUNCT
iajs-2554	271	5	2021	2021	NUM
iajs-2554	271	6	7	7	NUM
iajs-2554	271	7	.	.	PUNCT
iajs-2554	272	1	farah	farah	PROPN
iajs-2554	272	2	alaa	alaa	PROPN
iajs-2554	272	3	adnan	adnan	PROPN
iajs-2554	272	4	;	;	PUNCT
iajs-2554	272	5	ahmad	ahmad	PROPN
iajs-2554	272	6	,	,	PUNCT
iajs-2554	272	7	m.	m.	NOUN
iajs-2554	272	8	abdul	abdul	PROPN
iajs-2554	272	9	hadi	hadi	PROPN
iajs-2554	272	10	.	.	PUNCT
iajs-2554	273	1	effect	effect	NOUN
iajs-2554	273	2	of	of	ADP
iajs-2554	273	3	an	an	DET
iajs-2554	273	4	inclined	inclined	ADJ
iajs-2554	273	5	magnetic	magnetic	ADJ
iajs-2554	273	6	field	field	NOUN
iajs-2554	273	7	on	on	ADP
iajs-2554	273	8	peristaltic	peristaltic	ADJ
iajs-2554	273	9	flow	flow	NOUN
iajs-2554	273	10	of	of	ADP
iajs-2554	273	11	bingham	bingham	PROPN
iajs-2554	273	12	plastic	plastic	NOUN
iajs-2554	273	13	fluid	fluid	NOUN
iajs-2554	273	14	in	in	ADP
iajs-2554	273	15	an	an	DET
iajs-2554	273	16	inclined	inclined	ADJ
iajs-2554	273	17	symmetric	symmetric	ADJ
iajs-2554	273	18	channel	channel	NOUN
iajs-2554	273	19	with	with	ADP
iajs-2554	273	20	slip	slip	NOUN
iajs-2554	273	21	conditions	condition	NOUN
iajs-2554	273	22	,	,	PUNCT
iajs-2554	273	23	iraqi	iraqi	ADJ
iajs-2554	273	24	j.	j.	PROPN
iajs-2554	273	25	of	of	ADP
iajs-2554	273	26	science	science	PROPN
iajs-2554	273	27	.	.	PUNCT
iajs-2554	274	1	2019	2019	NUM
iajs-2554	274	2	,	,	PUNCT
iajs-2554	274	3	60,7	60,7	NOUN
iajs-2554	274	4	,	,	PUNCT
iajs-2554	274	5	1551	1551	NUM
iajs-2554	274	6	-	-	SYM
iajs-2554	274	7	1574	1574	NUM
iajs-2554	274	8	.	.	PUNCT
iajs-2554	275	1	8	8	NUM
iajs-2554	275	2	.	.	PUNCT
iajs-2554	276	1	farah	farah	PROPN
iajs-2554	276	2	alaa	alaa	PROPN
iajs-2554	276	3	adnan	adnan	PROPN
iajs-2554	276	4	;	;	PUNCT
iajs-2554	276	5	ahmad	ahmad	PROPN
iajs-2554	276	6	,	,	PUNCT
iajs-2554	276	7	m.	m.	NOUN
iajs-2554	276	8	abdul	abdul	PROPN
iajs-2554	276	9	hadi	hadi	PROPN
iajs-2554	276	10	,	,	PUNCT
iajs-2554	276	11	peristaltic	peristaltic	ADJ
iajs-2554	276	12	flow	flow	NOUN
iajs-2554	276	13	of	of	ADP
iajs-2554	276	14	the	the	DET
iajs-2554	276	15	bingham	bingham	PROPN
iajs-2554	276	16	plastic	plastic	NOUN
iajs-2554	276	17	fluid	fluid	NOUN
iajs-2554	276	18	in	in	ADP
iajs-2554	276	19	a	a	DET
iajs-2554	276	20	curved	curved	ADJ
iajs-2554	276	21	channel	channel	NOUN
iajs-2554	276	22	,	,	PUNCT
iajs-2554	276	23	ibn	ibn	PROPN
iajs-2554	276	24	al	al	PROPN
iajs-2554	276	25	-	-	PUNCT
iajs-2554	276	26	haitham	haitham	PROPN
iajs-2554	276	27	j.	j.	PROPN
iajs-2554	276	28	pure	pure	PROPN
iajs-2554	276	29	&	&	CCONJ
iajs-2554	276	30	appl	appl	PROPN
iajs-2554	276	31	.	.	PUNCT
iajs-2554	277	1	sci	sci	PROPN
iajs-2554	277	2	.	.	PROPN
iajs-2554	277	3	2019	2019	NUM
iajs-2554	277	4	,	,	PUNCT
iajs-2554	277	5	32	32	NUM
iajs-2554	277	6	,	,	PUNCT
iajs-2554	277	7	3	3	NUM
iajs-2554	277	8	.	.	NOUN
iajs-2554	277	9	9	9	NUM
iajs-2554	277	10	.	.	X
iajs-2554	277	11	hayat	hayat	PROPN
iajs-2554	277	12	,	,	PUNCT
iajs-2554	277	13	t	t	PROPN
iajs-2554	277	14	;	;	PUNCT
iajs-2554	277	15	farooq	farooq	PROPN
iajs-2554	277	16	,	,	PUNCT
iajs-2554	277	17	s.	s.	PROPN
iajs-2554	277	18	;	;	PUNCT
iajs-2554	277	19	mustafa	mustafa	PROPN
iajs-2554	277	20	,	,	PUNCT
iajs-2554	277	21	m.	m.	NOUN
iajs-2554	277	22	;	;	PUNCT
iajs-2554	277	23	ahmed	ahmed	PROPN
iajs-2554	277	24	,	,	PUNCT
iajs-2554	277	25	b.	b.	PROPN
iajs-2554	277	26	;	;	PUNCT
iajs-2554	277	27	ahmed	ahmed	PROPN
iajs-2554	277	28	,	,	PUNCT
iajs-2554	277	29	b.	b.	PROPN
iajs-2554	277	30	peristaltic	peristaltic	ADJ
iajs-2554	277	31	transport	transport	NOUN
iajs-2554	277	32	of	of	ADP
iajs-2554	277	33	bingham	bingham	PROPN
iajs-2554	277	34	plastic	plastic	NOUN
iajs-2554	277	35	fluid	fluid	NOUN
iajs-2554	277	36	considering	consider	VERB
iajs-2554	277	37	magnetic	magnetic	ADJ
iajs-2554	277	38	field	field	NOUN
iajs-2554	277	39	,	,	PUNCT
iajs-2554	277	40	soret	soret	VERB
iajs-2554	277	41	and	and	CCONJ
iajs-2554	277	42	dufour	dufour	PROPN
iajs-2554	277	43	effects	effect	NOUN
iajs-2554	277	44	,	,	PUNCT
iajs-2554	277	45	results	result	NOUN
iajs-2554	277	46	in	in	ADP
iajs-2554	277	47	physics	physics	NOUN
iajs-2554	277	48	.	.	PUNCT
iajs-2554	278	1	2017	2017	NUM
iajs-2554	278	2	,	,	PUNCT
iajs-2554	278	3	7	7	NUM
iajs-2554	278	4	,	,	PUNCT
iajs-2554	278	5	2000	2000	NUM
iajs-2554	278	6	-	-	SYM
iajs-2554	278	7	2011	2011	NUM
iajs-2554	278	8	.	.	PUNCT
iajs-2554	279	1	10	10	NUM
iajs-2554	279	2	.	.	PUNCT
iajs-2554	279	3	lakshminarayana	lakshminarayana	PROPN
iajs-2554	279	4	,	,	PUNCT
iajs-2554	279	5	p.	p.	NOUN
iajs-2554	279	6	;	;	PUNCT
iajs-2554	279	7	sreenadh	sreenadh	PROPN
iajs-2554	279	8	,	,	PUNCT
iajs-2554	279	9	s.	s.	PROPN
iajs-2554	279	10	;	;	PUNCT
iajs-2554	279	11	sucharitha	sucharitha	VERB
iajs-2554	279	12	,	,	PUNCT
iajs-2554	279	13	g.	g.	PROPN
iajs-2554	279	14	the	the	DET
iajs-2554	279	15	influence	influence	NOUN
iajs-2554	279	16	of	of	ADP
iajs-2554	279	17	slip	slip	NOUN
iajs-2554	279	18	,	,	PUNCT
iajs-2554	279	19	wall	wall	NOUN
iajs-2554	279	20	properties	property	NOUN
iajs-2554	279	21	on	on	ADP
iajs-2554	279	22	the	the	DET
iajs-2554	279	23	peristaltic	peristaltic	ADJ
iajs-2554	279	24	transport	transport	NOUN
iajs-2554	279	25	of	of	ADP
iajs-2554	279	26	conducting	conduct	VERB
iajs-2554	279	27	bingham	bingham	PROPN
iajs-2554	279	28	fluid	fluid	NOUN
iajs-2554	279	29	with	with	ADP
iajs-2554	279	30	heat	heat	NOUN
iajs-2554	279	31	transfer	transfer	NOUN
iajs-2554	279	32	,	,	PUNCT
iajs-2554	279	33	procedia	procedia	PROPN
iajs-2554	279	34	eng	eng	PROPN
iajs-2554	279	35	.	.	PROPN
iajs-2554	279	36	2015	2015	NUM
iajs-2554	279	37	,	,	PUNCT
iajs-2554	279	38	127	127	NUM
iajs-2554	279	39	1087	1087	NUM
iajs-2554	279	40	-	-	PUNCT
iajs-2554	279	41	1094	1094	NUM
iajs-2554	279	42	.	.	PUNCT
iajs-2554	280	1	11	11	NUM
iajs-2554	280	2	.	.	X
iajs-2554	281	1	ara	ara	PROPN
iajs-2554	281	2	,	,	PUNCT
iajs-2554	281	3	a.	a.	PROPN
iajs-2554	281	4	;	;	PUNCT
iajs-2554	281	5	khan	khan	PROPN
iajs-2554	281	6	,	,	PUNCT
iajs-2554	281	7	n.a	n.a	PROPN
iajs-2554	281	8	.	.	PROPN
iajs-2554	281	9	;	;	PUNCT
iajs-2554	281	10	sultan	sultan	PROPN
iajs-2554	281	11	,	,	PUNCT
iajs-2554	281	12	f.	f.	PROPN
iajs-2554	281	13	;	;	PUNCT
iajs-2554	281	14	ullah	ullah	PROPN
iajs-2554	281	15	,	,	PUNCT
iajs-2554	281	16	s.	s.	PROPN
iajs-2554	281	17	numerical	numerical	PROPN
iajs-2554	281	18	simulation	simulation	PROPN
iajs-2554	281	19	of	of	ADP
iajs-2554	281	20	jefferyhamel	jefferyhamel	PROPN
iajs-2554	281	21	flow	flow	NOUN
iajs-2554	281	22	of	of	ADP
iajs-2554	281	23	bingham	bingham	PROPN
iajs-2554	281	24	plastic	plastic	NOUN
iajs-2554	281	25	fluid	fluid	NOUN
iajs-2554	281	26	and	and	CCONJ
iajs-2554	281	27	heat	heat	NOUN
iajs-2554	281	28	transfer	transfer	NOUN
iajs-2554	281	29	in	in	ADP
iajs-2554	281	30	the	the	DET
iajs-2554	281	31	presence	presence	NOUN
iajs-2554	281	32	of	of	ADP
iajs-2554	281	33	magnetic	magnetic	ADJ
iajs-2554	281	34	field	field	NOUN
iajs-2554	281	35	,	,	PUNCT
iajs-2554	281	36	appl	appl	PROPN
iajs-2554	281	37	.	.	PROPN
iajs-2554	281	38	compute	compute	PROPN
iajs-2554	281	39	.	.	PUNCT
iajs-2554	282	1	math	math	NOUN
iajs-2554	282	2	.	.	PUNCT
iajs-2554	283	1	2019	2019	NUM
iajs-2554	283	2	,	,	PUNCT
iajs-2554	283	3	18,2	18,2	NUM
iajs-2554	283	4	,	,	PUNCT
iajs-2554	283	5	135	135	NUM
iajs-2554	283	6	-	-	SYM
iajs-2554	283	7	148	148	NUM
iajs-2554	283	8	.	.	PUNCT
iajs-2554	284	1	12	12	NUM
iajs-2554	284	2	.	.	PUNCT
iajs-2554	285	1	dheia	dheia	PROPN
iajs-2554	285	2	gaze	gaze	PROPN
iajs-2554	285	3	salih	salih	PROPN
iajs-2554	285	4	,	,	PUNCT
iajs-2554	285	5	influences	influence	NOUN
iajs-2554	285	6	of	of	ADP
iajs-2554	285	7	varying	vary	VERB
iajs-2554	285	8	temperature	temperature	NOUN
iajs-2554	285	9	and	and	CCONJ
iajs-2554	285	10	concentration	concentration	NOUN
iajs-2554	285	11	on	on	ADP
iajs-2554	285	12	(	(	PUNCT
iajs-2554	285	13	mhd	mhd	NOUN
iajs-2554	285	14	)	)	PUNCT
iajs-2554	285	15	peristaltic	peristaltic	ADJ
iajs-2554	285	16	transport	transport	NOUN
iajs-2554	285	17	of	of	ADP
iajs-2554	285	18	jeffery	jeffery	PROPN
iajs-2554	285	19	fluid	fluid	NOUN
iajs-2554	285	20	with	with	ADP
iajs-2554	285	21	variable	variable	ADJ
iajs-2554	285	22	viscosity	viscosity	NOUN
iajs-2554	285	23	through	through	ADP
iajs-2554	285	24	porous	porous	ADJ
iajs-2554	285	25	channel	channel	NOUN
iajs-2554	285	26	,	,	PUNCT
iajs-2554	285	27	doi	doi	NOUN
iajs-2554	285	28	:	:	PUNCT
iajs-2554	285	29	10.29304	10.29304	NUM
iajs-2554	285	30	/	/	SYM
iajs-2554	285	31	jqcm.2019,11,3,586	jqcm.2019,11,3,586	ADJ
iajs-2554	285	32	.	.	PUNCT
iajs-2554	286	1	13	13	NUM
iajs-2554	286	2	.	.	PUNCT
iajs-2554	287	1	ahmad	ahmad	PROPN
iajs-2554	287	2	,	,	PUNCT
iajs-2554	287	3	t.s	t.s	PROPN
iajs-2554	287	4	.	.	PROPN
iajs-2554	287	5	;	;	PUNCT
iajs-2554	287	6	abdulhadi	abdulhadi	PROPN
iajs-2554	287	7	,	,	PUNCT
iajs-2554	287	8	a.m.	a.m.	NOUN
iajs-2554	287	9	peristaltic	peristaltic	ADJ
iajs-2554	287	10	transport	transport	NOUN
iajs-2554	287	11	of	of	ADP
iajs-2554	287	12	mhd	mhd	NOUN
iajs-2554	287	13	flow	flow	NOUN
iajs-2554	287	14	and	and	CCONJ
iajs-2554	287	15	heat	heat	NOUN
iajs-2554	287	16	transfer	transfer	NOUN
iajs-2554	287	17	in	in	ADP
iajs-2554	287	18	a	a	DET
iajs-2554	287	19	tapered	tapered	ADJ
iajs-2554	287	20	asymmetric	asymmetric	ADJ
iajs-2554	287	21	channel	channel	NOUN
iajs-2554	287	22	through	through	ADP
iajs-2554	287	23	porous	porous	ADJ
iajs-2554	287	24	medium	medium	NOUN
iajs-2554	287	25	:	:	PUNCT
iajs-2554	287	26	effect	effect	NOUN
iajs-2554	287	27	of	of	ADP
iajs-2554	287	28	variable	variable	ADJ
iajs-2554	287	29	viscosity	viscosity	NOUN
iajs-2554	287	30	,	,	PUNCT
iajs-2554	287	31	velocitynon	velocitynon	NOUN
iajs-2554	287	32	slip	slip	NOUN
iajs-2554	287	33	and	and	CCONJ
iajs-2554	287	34	temperature	temperature	NOUN
iajs-2554	287	35	jump	jump	NOUN
iajs-2554	287	36	,	,	PUNCT
iajs-2554	287	37	int	int	NOUN
iajs-2554	287	38	.	.	PUNCT
iajs-2554	288	1	j.	j.	PROPN
iajs-2554	288	2	of	of	ADP
iajs-2554	288	3	advance	advance	PROPN
iajs-2554	288	4	sci	sci	PROPN
iajs-2554	288	5	.	.	PUNCT
iajs-2554	288	6	tech	tech	PROPN
iajs-2554	288	7	.	.	PUNCT
iajs-2554	289	1	research.2017	research.2017	PROPN
iajs-2554	289	2	,	,	PUNCT
iajs-2554	289	3	7	7	NUM
iajs-2554	289	4	,	,	PUNCT
iajs-2554	289	5	2	2	NUM
iajs-2554	289	6	,	,	PUNCT
iajs-2554	289	7	53	53	NUM
iajs-2554	289	8	-	-	SYM
iajs-2554	289	9	69	69	NUM
iajs-2554	289	10	.	.	PUNCT