id	sid	tid	token	lemma	pos
iajs-2291	1	1	ibn	ibn	PROPN
iajs-2291	1	2	al	al	PROPN
iajs-2291	1	3	-	-	PUNCT
iajs-2291	1	4	haitham	haitham	PROPN
iajs-2291	1	5	jour	jour	X
iajs-2291	1	6	.	.	PROPN
iajs-2291	1	7	for	for	ADP
iajs-2291	1	8	pure	pure	ADJ
iajs-2291	1	9	&	&	CCONJ
iajs-2291	1	10	appl	appl	PROPN
iajs-2291	1	11	.	.	PUNCT
iajs-2291	2	1	sci	sci	PROPN
iajs-2291	2	2	.	.	PROPN
iajs-2291	2	3	32	32	NUM
iajs-2291	2	4	(	(	PUNCT
iajs-2291	2	5	3	3	NUM
iajs-2291	2	6	)	)	PUNCT
iajs-2291	2	7	2019	2019	NUM
iajs-2291	2	8	140	140	NUM
iajs-2291	2	9	farah	farah	PROPN
iajs-2291	2	10	alaa	alaa	PROPN
iajs-2291	2	11	adnan	adnan	PROPN
iajs-2291	2	12	ahmad	ahmad	PROPN
iajs-2291	2	13	m.	m.	PROPN
iajs-2291	2	14	abdul	abdul	PROPN
iajs-2291	2	15	hadi	hadi	PROPN
iajs-2291	2	16	abstract	abstract	PROPN
iajs-2291	2	17	in	in	ADP
iajs-2291	2	18	this	this	DET
iajs-2291	2	19	paper	paper	NOUN
iajs-2291	2	20	,	,	PUNCT
iajs-2291	2	21	we	we	PRON
iajs-2291	2	22	study	study	VERB
iajs-2291	2	23	the	the	DET
iajs-2291	2	24	peristaltic	peristaltic	ADJ
iajs-2291	2	25	transport	transport	NOUN
iajs-2291	2	26	of	of	ADP
iajs-2291	2	27	incompressible	incompressible	ADJ
iajs-2291	2	28	bingham	bingham	PROPN
iajs-2291	2	29	plastic	plastic	NOUN
iajs-2291	2	30	fluid	fluid	NOUN
iajs-2291	2	31	in	in	ADP
iajs-2291	2	32	a	a	DET
iajs-2291	2	33	curved	curved	ADJ
iajs-2291	2	34	channel	channel	NOUN
iajs-2291	2	35	.	.	PUNCT
iajs-2291	3	1	the	the	DET
iajs-2291	3	2	formulation	formulation	NOUN
iajs-2291	3	3	of	of	ADP
iajs-2291	3	4	the	the	DET
iajs-2291	3	5	problem	problem	NOUN
iajs-2291	3	6	is	be	AUX
iajs-2291	3	7	presented	present	VERB
iajs-2291	3	8	through	through	ADP
iajs-2291	3	9	,	,	PUNCT
iajs-2291	3	10	the	the	DET
iajs-2291	3	11	regular	regular	ADJ
iajs-2291	3	12	perturbation	perturbation	NOUN
iajs-2291	3	13	technique	technique	NOUN
iajs-2291	3	14	for	for	ADP
iajs-2291	3	15	small	small	ADJ
iajs-2291	3	16	values	value	NOUN
iajs-2291	3	17	of	of	ADP
iajs-2291	3	18	1	1	NUM
iajs-2291	3	19	𝑘	𝑘	NOUN
iajs-2291	3	20	is	be	AUX
iajs-2291	3	21	used	use	VERB
iajs-2291	3	22	to	to	PART
iajs-2291	3	23	find	find	VERB
iajs-2291	3	24	the	the	DET
iajs-2291	3	25	final	final	ADJ
iajs-2291	3	26	expression	expression	NOUN
iajs-2291	3	27	of	of	ADP
iajs-2291	3	28	stream	stream	NOUN
iajs-2291	3	29	function	function	NOUN
iajs-2291	3	30	.	.	PUNCT
iajs-2291	4	1	the	the	DET
iajs-2291	4	2	numerical	numerical	ADJ
iajs-2291	4	3	solution	solution	NOUN
iajs-2291	4	4	of	of	ADP
iajs-2291	4	5	pressure	pressure	NOUN
iajs-2291	4	6	rise	rise	NOUN
iajs-2291	4	7	per	per	ADP
iajs-2291	4	8	wave	wave	NOUN
iajs-2291	4	9	length	length	NOUN
iajs-2291	4	10	is	be	AUX
iajs-2291	4	11	obtained	obtain	VERB
iajs-2291	4	12	through	through	ADP
iajs-2291	4	13	numerical	numerical	ADJ
iajs-2291	4	14	integration	integration	NOUN
iajs-2291	4	15	because	because	SCONJ
iajs-2291	4	16	its	its	PRON
iajs-2291	4	17	analytical	analytical	ADJ
iajs-2291	4	18	solution	solution	NOUN
iajs-2291	4	19	is	be	AUX
iajs-2291	4	20	impossible	impossible	ADJ
iajs-2291	4	21	.	.	PUNCT
iajs-2291	5	1	also	also	ADV
iajs-2291	5	2	the	the	DET
iajs-2291	5	3	trapping	trap	VERB
iajs-2291	5	4	phenomenon	phenomenon	NOUN
iajs-2291	5	5	is	be	AUX
iajs-2291	5	6	analyzed	analyze	VERB
iajs-2291	5	7	.	.	PUNCT
iajs-2291	6	1	the	the	DET
iajs-2291	6	2	effect	effect	NOUN
iajs-2291	6	3	of	of	ADP
iajs-2291	6	4	the	the	DET
iajs-2291	6	5	variation	variation	NOUN
iajs-2291	6	6	of	of	ADP
iajs-2291	6	7	the	the	DET
iajs-2291	6	8	physical	physical	ADJ
iajs-2291	6	9	parameters	parameter	NOUN
iajs-2291	6	10	of	of	ADP
iajs-2291	6	11	the	the	DET
iajs-2291	6	12	problem	problem	NOUN
iajs-2291	6	13	are	be	AUX
iajs-2291	6	14	discussed	discuss	VERB
iajs-2291	6	15	and	and	CCONJ
iajs-2291	6	16	illustrated	illustrate	VERB
iajs-2291	6	17	graphically	graphically	ADV
iajs-2291	6	18	.	.	PUNCT
iajs-2291	7	1	key	key	ADJ
iajs-2291	7	2	words	word	NOUN
iajs-2291	7	3	:	:	PUNCT
iajs-2291	7	4	bingham	bingham	PROPN
iajs-2291	7	5	plastic	plastic	NOUN
iajs-2291	7	6	fluid	fluid	NOUN
iajs-2291	7	7	,	,	PUNCT
iajs-2291	7	8	a	a	DET
iajs-2291	7	9	curved	curved	ADJ
iajs-2291	7	10	channel	channel	NOUN
iajs-2291	7	11	,	,	PUNCT
iajs-2291	7	12	peristaltic	peristaltic	ADJ
iajs-2291	7	13	transport	transport	NOUN
iajs-2291	7	14	,	,	PUNCT
iajs-2291	7	15	regular	regular	ADJ
iajs-2291	7	16	perturbation	perturbation	NOUN
iajs-2291	7	17	method	method	NOUN
iajs-2291	7	18	.	.	PUNCT
iajs-2291	8	1	1	1	X
iajs-2291	8	2	.	.	X
iajs-2291	8	3	introduction	introduction	NOUN
iajs-2291	8	4	the	the	DET
iajs-2291	8	5	peristaltic	peristaltic	ADJ
iajs-2291	8	6	flows	flow	NOUN
iajs-2291	8	7	have	have	VERB
iajs-2291	8	8	a	a	DET
iajs-2291	8	9	fundamental	fundamental	ADJ
iajs-2291	8	10	function	function	NOUN
iajs-2291	8	11	in	in	ADP
iajs-2291	8	12	physiology	physiology	NOUN
iajs-2291	8	13	and	and	CCONJ
iajs-2291	8	14	engineering	engineering	NOUN
iajs-2291	8	15	.	.	PUNCT
iajs-2291	9	1	many	many	ADJ
iajs-2291	9	2	authors	author	NOUN
iajs-2291	9	3	have	have	AUX
iajs-2291	9	4	investigated	investigate	VERB
iajs-2291	9	5	such	such	ADJ
iajs-2291	9	6	flows	flow	NOUN
iajs-2291	9	7	like	like	ADP
iajs-2291	9	8	adnan	adnan	PROPN
iajs-2291	9	9	et	et	PROPN
iajs-2291	9	10	al	al	PROPN
iajs-2291	9	11	.	.	PROPN
iajs-2291	9	12	studied	study	VERB
iajs-2291	9	13	the	the	DET
iajs-2291	9	14	effect	effect	NOUN
iajs-2291	9	15	of	of	ADP
iajs-2291	9	16	the	the	DET
iajs-2291	9	17	magnetic	magnetic	ADJ
iajs-2291	9	18	field	field	NOUN
iajs-2291	9	19	on	on	ADP
iajs-2291	9	20	a	a	DET
iajs-2291	9	21	peristaltic	peristaltic	ADJ
iajs-2291	9	22	flow	flow	NOUN
iajs-2291	9	23	of	of	ADP
iajs-2291	9	24	bingham	bingham	PROPN
iajs-2291	9	25	plastic	plastic	NOUN
iajs-2291	9	26	fluid	fluid	NOUN
iajs-2291	10	1	[	[	X
iajs-2291	10	2	1	1	NUM
iajs-2291	10	3	]	]	PUNCT
iajs-2291	10	4	.	.	PUNCT
iajs-2291	11	1	ahmed	ahmed	PROPN
iajs-2291	11	2	et	et	PROPN
iajs-2291	11	3	al	al	PROPN
iajs-2291	11	4	.	.	PROPN
iajs-2291	11	5	investigated	investigate	VERB
iajs-2291	11	6	the	the	DET
iajs-2291	11	7	effect	effect	NOUN
iajs-2291	11	8	of	of	ADP
iajs-2291	11	9	a	a	DET
iajs-2291	11	10	magnetic	magnetic	ADJ
iajs-2291	11	11	field	field	NOUN
iajs-2291	11	12	on	on	ADP
iajs-2291	11	13	peristaltic	peristaltic	ADJ
iajs-2291	11	14	flow	flow	NOUN
iajs-2291	11	15	of	of	ADP
iajs-2291	11	16	jeffery	jeffery	PROPN
iajs-2291	11	17	fluid	fluid	NOUN
iajs-2291	11	18	through	through	ADP
iajs-2291	11	19	a	a	DET
iajs-2291	11	20	porous	porous	ADJ
iajs-2291	11	21	medium	medium	NOUN
iajs-2291	11	22	in	in	ADP
iajs-2291	11	23	a	a	DET
iajs-2291	11	24	tapered	tapered	ADJ
iajs-2291	11	25	asymmetric	asymmetric	ADJ
iajs-2291	11	26	channel	channel	NOUN
iajs-2291	12	1	[	[	X
iajs-2291	12	2	2	2	NUM
iajs-2291	12	3	]	]	PUNCT
iajs-2291	12	4	.	.	PUNCT
iajs-2291	13	1	adnan	adnan	PROPN
iajs-2291	13	2	et	et	PROPN
iajs-2291	13	3	al	al	PROPN
iajs-2291	13	4	.	.	PROPN
iajs-2291	13	5	investigated	investigate	VERB
iajs-2291	13	6	the	the	DET
iajs-2291	13	7	effect	effect	NOUN
iajs-2291	13	8	of	of	ADP
iajs-2291	13	9	a	a	DET
iajs-2291	13	10	magnetic	magnetic	ADJ
iajs-2291	13	11	field	field	NOUN
iajs-2291	13	12	on	on	ADP
iajs-2291	13	13	a	a	DET
iajs-2291	13	14	peristaltic	peristaltic	ADJ
iajs-2291	13	15	transport	transport	NOUN
iajs-2291	13	16	of	of	ADP
iajs-2291	13	17	bingham	bingham	PROPN
iajs-2291	13	18	plastic	plastic	NOUN
iajs-2291	13	19	fluid	fluid	NOUN
iajs-2291	13	20	in	in	ADP
iajs-2291	13	21	a	a	DET
iajs-2291	13	22	symmetrical	symmetrical	ADJ
iajs-2291	13	23	channel	channel	NOUN
iajs-2291	13	24	[	[	X
iajs-2291	13	25	3	3	NUM
iajs-2291	13	26	]	]	PUNCT
iajs-2291	13	27	.	.	PUNCT
iajs-2291	14	1	and	and	CCONJ
iajs-2291	14	2	ahmad	ahmad	PROPN
iajs-2291	14	3	et	et	PROPN
iajs-2291	14	4	al	al	PROPN
iajs-2291	14	5	.	.	PROPN
iajs-2291	14	6	studied	study	VERB
iajs-2291	14	7	the	the	DET
iajs-2291	14	8	peristaltic	peristaltic	ADJ
iajs-2291	14	9	transport	transport	NOUN
iajs-2291	14	10	of	of	ADP
iajs-2291	14	11	mhd	mhd	NOUN
iajs-2291	14	12	flow	flow	NOUN
iajs-2291	14	13	and	and	CCONJ
iajs-2291	14	14	heat	heat	NOUN
iajs-2291	14	15	transfer	transfer	NOUN
iajs-2291	14	16	in	in	ADP
iajs-2291	14	17	a	a	DET
iajs-2291	14	18	tapered	tapered	ADJ
iajs-2291	14	19	asymmetric	asymmetric	ADJ
iajs-2291	14	20	channel	channel	NOUN
iajs-2291	14	21	through	through	ADP
iajs-2291	14	22	porous	porous	ADJ
iajs-2291	14	23	medium	medium	NOUN
iajs-2291	14	24	and	and	CCONJ
iajs-2291	14	25	the	the	DET
iajs-2291	14	26	effect	effect	NOUN
iajs-2291	14	27	of	of	ADP
iajs-2291	14	28	variable	variable	ADJ
iajs-2291	14	29	viscosity	viscosity	NOUN
iajs-2291	14	30	,	,	PUNCT
iajs-2291	14	31	velocity	velocity	NOUN
iajs-2291	14	32	–	–	PUNCT
iajs-2291	14	33	non	non	X
iajs-2291	14	34	slip	slip	NOUN
iajs-2291	14	35	and	and	CCONJ
iajs-2291	14	36	temperature	temperature	NOUN
iajs-2291	14	37	jump	jump	NOUN
iajs-2291	14	38	are	be	AUX
iajs-2291	14	39	discussed	discuss	VERB
iajs-2291	14	40	[	[	X
iajs-2291	14	41	4	4	NUM
iajs-2291	14	42	]	]	PUNCT
iajs-2291	14	43	.	.	PUNCT
iajs-2291	15	1	the	the	DET
iajs-2291	15	2	flows	flow	NOUN
iajs-2291	15	3	over	over	ADP
iajs-2291	15	4	the	the	DET
iajs-2291	15	5	curved	curved	ADJ
iajs-2291	15	6	walls	wall	NOUN
iajs-2291	15	7	are	be	AUX
iajs-2291	15	8	considering	consider	VERB
iajs-2291	15	9	as	as	ADP
iajs-2291	15	10	engineering	engineer	VERB
iajs-2291	15	11	advantage	advantage	NOUN
iajs-2291	15	12	and	and	CCONJ
iajs-2291	15	13	happened	happen	VERB
iajs-2291	15	14	for	for	ADP
iajs-2291	15	15	example	example	NOUN
iajs-2291	15	16	in	in	ADP
iajs-2291	15	17	turbo	turbo	NOUN
iajs-2291	15	18	machinery	machinery	NOUN
iajs-2291	15	19	and	and	CCONJ
iajs-2291	15	20	the	the	DET
iajs-2291	15	21	wings	wing	NOUN
iajs-2291	15	22	of	of	ADP
iajs-2291	15	23	airplane	airplane	NOUN
iajs-2291	15	24	.	.	PUNCT
iajs-2291	16	1	and	and	CCONJ
iajs-2291	16	2	that	that	PRON
iajs-2291	16	3	’s	’	VERB
iajs-2291	16	4	why	why	SCONJ
iajs-2291	16	5	it	it	PRON
iajs-2291	16	6	is	be	AUX
iajs-2291	16	7	fundamental	fundamental	ADJ
iajs-2291	16	8	to	to	PART
iajs-2291	16	9	know	know	VERB
iajs-2291	16	10	the	the	DET
iajs-2291	16	11	effect	effect	NOUN
iajs-2291	16	12	of	of	ADP
iajs-2291	16	13	curvature	curvature	NOUN
iajs-2291	16	14	(	(	PUNCT
iajs-2291	16	15	which	which	PRON
iajs-2291	16	16	denoted	denote	VERB
iajs-2291	16	17	by	by	ADP
iajs-2291	16	18	𝑘	𝑘	NOUN
iajs-2291	16	19	)	)	PUNCT
iajs-2291	16	20	on	on	ADP
iajs-2291	16	21	the	the	DET
iajs-2291	16	22	channels	channel	NOUN
iajs-2291	16	23	.	.	PUNCT
iajs-2291	17	1	the	the	DET
iajs-2291	17	2	peristaltic	peristaltic	ADJ
iajs-2291	17	3	motion	motion	NOUN
iajs-2291	17	4	in	in	ADP
iajs-2291	17	5	curved	curved	ADJ
iajs-2291	17	6	channel	channel	NOUN
iajs-2291	17	7	is	be	AUX
iajs-2291	17	8	an	an	DET
iajs-2291	17	9	important	important	ADJ
iajs-2291	17	10	area	area	NOUN
iajs-2291	17	11	of	of	ADP
iajs-2291	17	12	research	research	NOUN
iajs-2291	17	13	because	because	SCONJ
iajs-2291	17	14	the	the	DET
iajs-2291	17	15	shape	shape	NOUN
iajs-2291	17	16	of	of	ADP
iajs-2291	17	17	the	the	DET
iajs-2291	17	18	most	most	ADJ
iajs-2291	17	19	of	of	ADP
iajs-2291	17	20	the	the	DET
iajs-2291	17	21	physiological	physiological	ADJ
iajs-2291	17	22	tubes	tube	NOUN
iajs-2291	17	23	and	and	CCONJ
iajs-2291	17	24	glandular	glandular	ADJ
iajs-2291	17	25	channels	channel	NOUN
iajs-2291	17	26	is	be	AUX
iajs-2291	17	27	curved	curve	VERB
iajs-2291	17	28	.	.	PUNCT
iajs-2291	18	1	it	it	PRON
iajs-2291	18	2	have	have	AUX
iajs-2291	18	3	been	be	AUX
iajs-2291	18	4	seen	see	VERB
iajs-2291	18	5	from	from	ADP
iajs-2291	18	6	the	the	DET
iajs-2291	18	7	available	available	ADJ
iajs-2291	18	8	studies	study	NOUN
iajs-2291	18	9	ibn	ibn	PROPN
iajs-2291	18	10	al	al	PROPN
iajs-2291	18	11	haitham	haitham	PROPN
iajs-2291	18	12	journal	journal	PROPN
iajs-2291	18	13	for	for	ADP
iajs-2291	18	14	pure	pure	ADJ
iajs-2291	18	15	and	and	CCONJ
iajs-2291	18	16	applied	apply	VERB
iajs-2291	18	17	science	science	NOUN
iajs-2291	18	18	journal	journal	PROPN
iajs-2291	18	19	homepage	homepage	NOUN
iajs-2291	18	20	:	:	PUNCT
iajs-2291	18	21	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	PROPN
iajs-2291	18	22	doi:10.30526/32.3.2291	doi:10.30526/32.3.2291	ADJ
iajs-2291	18	23	peristaltic	peristaltic	ADJ
iajs-2291	18	24	flow	flow	NOUN
iajs-2291	18	25	of	of	ADP
iajs-2291	18	26	the	the	DET
iajs-2291	18	27	bingham	bingham	PROPN
iajs-2291	18	28	plastic	plastic	NOUN
iajs-2291	18	29	fluid	fluid	NOUN
iajs-2291	18	30	in	in	ADP
iajs-2291	18	31	a	a	DET
iajs-2291	18	32	curved	curved	ADJ
iajs-2291	18	33	channel	channel	NOUN
iajs-2291	18	34	department	department	NOUN
iajs-2291	18	35	of	of	ADP
iajs-2291	18	36	mathematics	mathematics	PROPN
iajs-2291	18	37	,	,	PUNCT
iajs-2291	18	38	college	college	NOUN
iajs-2291	18	39	of	of	ADP
iajs-2291	18	40	science	science	NOUN
iajs-2291	18	41	,	,	PUNCT
iajs-2291	18	42	university	university	NOUN
iajs-2291	18	43	of	of	ADP
iajs-2291	18	44	baghdad	baghdad	PROPN
iajs-2291	18	45	,	,	PUNCT
iajs-2291	18	46	baghdad	baghdad	PROPN
iajs-2291	18	47	,	,	PUNCT
iajs-2291	18	48	iraq	iraq	PROPN
iajs-2291	18	49	.	.	PUNCT
iajs-2291	19	1	farrah.a_adnan@yahoo.com	farrah.a_adnan@yahoo.com	PROPN
iajs-2291	19	2	article	article	PROPN
iajs-2291	19	3	history	history	NOUN
iajs-2291	19	4	:	:	PUNCT
iajs-2291	19	5	received	receive	VERB
iajs-2291	19	6	3	3	NUM
iajs-2291	19	7	april	april	PROPN
iajs-2291	19	8	2019	2019	NUM
iajs-2291	19	9	,	,	PUNCT
iajs-2291	19	10	accepted	accept	VERB
iajs-2291	19	11	8	8	NUM
iajs-2291	19	12	may	may	PROPN
iajs-2291	19	13	2019	2019	NUM
iajs-2291	19	14	,	,	PUNCT
iajs-2291	19	15	publish	publish	VERB
iajs-2291	19	16	september	september	PROPN
iajs-2291	19	17	2019	2019	NUM
iajs-2291	19	18	mailto:farrah.a_adnan@yahoo.com	mailto:farrah.a_adnan@yahoo.com	NOUN
iajs-2291	19	19	mailto:farrah.a_adnan@yahoo.com	mailto:farrah.a_adnan@yahoo.com	PROPN
iajs-2291	19	20	mailto:farrah.a_adnan@yahoo.com	mailto:farrah.a_adnan@yahoo.com	PROPN
iajs-2291	19	21	mailto:farrah.a_adnan@yahoo.com	mailto:farrah.a_adnan@yahoo.com	PROPN
iajs-2291	19	22	ibn	ibn	PROPN
iajs-2291	19	23	al	al	PROPN
iajs-2291	19	24	-	-	PUNCT
iajs-2291	19	25	haitham	haitham	PROPN
iajs-2291	19	26	jour	jour	X
iajs-2291	19	27	.	.	PROPN
iajs-2291	19	28	for	for	ADP
iajs-2291	19	29	pure	pure	ADJ
iajs-2291	19	30	&	&	CCONJ
iajs-2291	19	31	appl	appl	PROPN
iajs-2291	19	32	.	.	PUNCT
iajs-2291	20	1	sci	sci	PROPN
iajs-2291	20	2	.	.	PROPN
iajs-2291	20	3	32	32	NUM
iajs-2291	20	4	(	(	PUNCT
iajs-2291	20	5	3	3	NUM
iajs-2291	20	6	)	)	PUNCT
iajs-2291	20	7	2019	2019	NUM
iajs-2291	20	8	141	141	NUM
iajs-2291	20	9	that	that	SCONJ
iajs-2291	20	10	not	not	PART
iajs-2291	20	11	a	a	DET
iajs-2291	20	12	lot	lot	NOUN
iajs-2291	20	13	of	of	ADP
iajs-2291	20	14	attention	attention	NOUN
iajs-2291	20	15	is	be	AUX
iajs-2291	20	16	considering	consider	VERB
iajs-2291	20	17	in	in	ADP
iajs-2291	20	18	the	the	DET
iajs-2291	20	19	peristaltic	peristaltic	ADJ
iajs-2291	20	20	flow	flow	NOUN
iajs-2291	20	21	in	in	ADP
iajs-2291	20	22	a	a	DET
iajs-2291	20	23	curved	curved	ADJ
iajs-2291	20	24	channel	channel	NOUN
iajs-2291	20	25	.	.	PUNCT
iajs-2291	21	1	ali	ali	PROPN
iajs-2291	21	2	et	et	PROPN
iajs-2291	21	3	al	al	PROPN
iajs-2291	21	4	.	.	PROPN
iajs-2291	21	5	studied	study	VERB
iajs-2291	21	6	the	the	DET
iajs-2291	21	7	peristaltic	peristaltic	ADJ
iajs-2291	21	8	flow	flow	NOUN
iajs-2291	21	9	of	of	ADP
iajs-2291	21	10	a	a	DET
iajs-2291	21	11	nonnewtonian	nonnewtonian	NOUN
iajs-2291	21	12	fluid	fluid	NOUN
iajs-2291	21	13	in	in	ADP
iajs-2291	21	14	a	a	DET
iajs-2291	21	15	curved	curved	ADJ
iajs-2291	21	16	channel	channel	NOUN
iajs-2291	21	17	[	[	X
iajs-2291	21	18	5	5	NUM
iajs-2291	21	19	]	]	PUNCT
iajs-2291	21	20	.	.	PUNCT
iajs-2291	22	1	hayat	hayat	PROPN
iajs-2291	22	2	et	et	PROPN
iajs-2291	22	3	al	al	PROPN
iajs-2291	22	4	.	.	PROPN
iajs-2291	22	5	studied	study	VERB
iajs-2291	22	6	the	the	DET
iajs-2291	22	7	peristaltic	peristaltic	ADJ
iajs-2291	22	8	transport	transport	NOUN
iajs-2291	22	9	of	of	ADP
iajs-2291	22	10	viscous	viscous	ADJ
iajs-2291	22	11	fluid	fluid	NOUN
iajs-2291	22	12	with	with	ADP
iajs-2291	22	13	compliant	compliant	ADJ
iajs-2291	22	14	walls	wall	NOUN
iajs-2291	22	15	in	in	ADP
iajs-2291	22	16	curved	curved	ADJ
iajs-2291	22	17	channel	channel	NOUN
iajs-2291	23	1	[	[	X
iajs-2291	23	2	6	6	NUM
iajs-2291	23	3	]	]	PUNCT
iajs-2291	23	4	.	.	PUNCT
iajs-2291	24	1	ahmad	ahmad	PROPN
iajs-2291	24	2	studied	study	VERB
iajs-2291	24	3	the	the	DET
iajs-2291	24	4	effect	effect	NOUN
iajs-2291	24	5	of	of	ADP
iajs-2291	24	6	radial	radial	ADJ
iajs-2291	24	7	magnetic	magnetic	ADJ
iajs-2291	24	8	field	field	NOUN
iajs-2291	24	9	on	on	ADP
iajs-2291	24	10	peristaltic	peristaltic	ADJ
iajs-2291	24	11	transport	transport	NOUN
iajs-2291	24	12	of	of	ADP
iajs-2291	24	13	jeffrey	jeffrey	PROPN
iajs-2291	24	14	fluid	fluid	NOUN
iajs-2291	24	15	with	with	ADP
iajs-2291	24	16	variable	variable	ADJ
iajs-2291	24	17	viscosity	viscosity	NOUN
iajs-2291	24	18	in	in	ADP
iajs-2291	24	19	curved	curved	ADJ
iajs-2291	24	20	channel	channel	NOUN
iajs-2291	24	21	with	with	ADP
iajs-2291	24	22	heat	heat	NOUN
iajs-2291	24	23	and	and	CCONJ
iajs-2291	24	24	mass	mass	NOUN
iajs-2291	24	25	transfer	transfer	NOUN
iajs-2291	24	26	properties	property	NOUN
iajs-2291	24	27	[	[	X
iajs-2291	24	28	7	7	NUM
iajs-2291	24	29	]	]	PUNCT
iajs-2291	24	30	.	.	PUNCT
iajs-2291	25	1	kalantari	kalantari	PROPN
iajs-2291	25	2	et	et	PROPN
iajs-2291	25	3	al	al	PROPN
iajs-2291	25	4	.	.	PROPN
iajs-2291	25	5	investigated	investigate	VERB
iajs-2291	25	6	the	the	DET
iajs-2291	25	7	effect	effect	NOUN
iajs-2291	25	8	of	of	ADP
iajs-2291	25	9	radially	radially	ADV
iajs-2291	25	10	imposed	impose	VERB
iajs-2291	25	11	magnetic	magnetic	ADJ
iajs-2291	25	12	field	field	NOUN
iajs-2291	25	13	on	on	ADP
iajs-2291	25	14	the	the	DET
iajs-2291	25	15	flow	flow	NOUN
iajs-2291	25	16	characteristics	characteristic	NOUN
iajs-2291	25	17	in	in	ADP
iajs-2291	25	18	a	a	DET
iajs-2291	25	19	curved	curved	ADJ
iajs-2291	25	20	channel	channel	NOUN
iajs-2291	26	1	[	[	X
iajs-2291	26	2	8	8	NUM
iajs-2291	26	3	]	]	PUNCT
iajs-2291	26	4	.	.	PUNCT
iajs-2291	27	1	norenn	norenn	PROPN
iajs-2291	27	2	et	et	PROPN
iajs-2291	27	3	al	al	PROPN
iajs-2291	27	4	.	.	PROPN
iajs-2291	27	5	studied	study	VERB
iajs-2291	27	6	the	the	DET
iajs-2291	27	7	curvature	curvature	NOUN
iajs-2291	27	8	effects	effect	NOUN
iajs-2291	27	9	on	on	ADP
iajs-2291	27	10	the	the	DET
iajs-2291	27	11	mhd	mhd	NOUN
iajs-2291	27	12	peristaltic	peristaltic	ADJ
iajs-2291	27	13	flow	flow	NOUN
iajs-2291	27	14	of	of	ADP
iajs-2291	27	15	an	an	DET
iajs-2291	27	16	incompressible	incompressible	ADJ
iajs-2291	27	17	carreau	carreau	PROPN
iajs-2291	27	18	fluid	fluid	NOUN
iajs-2291	27	19	in	in	ADP
iajs-2291	27	20	a	a	DET
iajs-2291	27	21	curved	curved	ADJ
iajs-2291	27	22	channel	channel	NOUN
iajs-2291	28	1	[	[	X
iajs-2291	28	2	9	9	NUM
iajs-2291	28	3	]	]	PUNCT
iajs-2291	28	4	.	.	PUNCT
iajs-2291	29	1	hina	hina	PROPN
iajs-2291	29	2	el	el	PROPN
iajs-2291	29	3	al	al	PROPN
iajs-2291	29	4	.	.	PROPN
iajs-2291	29	5	studied	study	VERB
iajs-2291	29	6	the	the	DET
iajs-2291	29	7	slip	slip	NOUN
iajs-2291	29	8	conditions	condition	NOUN
iajs-2291	29	9	effect	effect	NOUN
iajs-2291	29	10	on	on	ADP
iajs-2291	29	11	the	the	DET
iajs-2291	29	12	peristaltic	peristaltic	ADJ
iajs-2291	29	13	transport	transport	NOUN
iajs-2291	29	14	of	of	ADP
iajs-2291	29	15	johnsonsegalman	johnsonsegalman	ADJ
iajs-2291	29	16	fluid	fluid	NOUN
iajs-2291	29	17	through	through	ADP
iajs-2291	29	18	a	a	DET
iajs-2291	29	19	curved	curved	ADJ
iajs-2291	29	20	channel	channel	NOUN
iajs-2291	29	21	[	[	X
iajs-2291	29	22	10	10	NUM
iajs-2291	29	23	-	-	SYM
iajs-2291	29	24	12	12	NUM
iajs-2291	29	25	]	]	PUNCT
iajs-2291	29	26	.	.	PUNCT
iajs-2291	30	1	in	in	ADP
iajs-2291	30	2	this	this	DET
iajs-2291	30	3	paper	paper	NOUN
iajs-2291	30	4	,	,	PUNCT
iajs-2291	30	5	the	the	DET
iajs-2291	30	6	peristaltic	peristaltic	ADJ
iajs-2291	30	7	transport	transport	NOUN
iajs-2291	30	8	of	of	ADP
iajs-2291	30	9	bingham	bingham	PROPN
iajs-2291	30	10	plastic	plastic	NOUN
iajs-2291	30	11	fluid	fluid	NOUN
iajs-2291	30	12	in	in	ADP
iajs-2291	30	13	a	a	DET
iajs-2291	30	14	curved	curved	ADJ
iajs-2291	30	15	channel	channel	NOUN
iajs-2291	30	16	gave	gave	AUX
iajs-2291	30	17	been	be	AUX
iajs-2291	30	18	discussed	discuss	VERB
iajs-2291	30	19	.	.	PUNCT
iajs-2291	31	1	the	the	DET
iajs-2291	31	2	concept	concept	NOUN
iajs-2291	31	3	of	of	ADP
iajs-2291	31	4	large	large	ADJ
iajs-2291	31	5	wave	wave	NOUN
iajs-2291	31	6	length	length	NOUN
iajs-2291	31	7	𝜆	𝜆	ADP
iajs-2291	31	8	and	and	CCONJ
iajs-2291	31	9	small	small	ADJ
iajs-2291	31	10	ronald	ronald	PROPN
iajs-2291	31	11	’s	’s	PART
iajs-2291	31	12	𝑅𝑒	𝑅𝑒	PROPN
iajs-2291	31	13	is	be	AUX
iajs-2291	31	14	used	use	VERB
iajs-2291	31	15	to	to	PART
iajs-2291	31	16	simplify	simplify	VERB
iajs-2291	31	17	the	the	DET
iajs-2291	31	18	equation	equation	NOUN
iajs-2291	31	19	.	.	PUNCT
iajs-2291	32	1	the	the	DET
iajs-2291	32	2	nonlinear	nonlinear	ADJ
iajs-2291	32	3	differential	differential	ADJ
iajs-2291	32	4	equation	equation	NOUN
iajs-2291	32	5	is	be	AUX
iajs-2291	32	6	solved	solve	VERB
iajs-2291	32	7	analytically	analytically	ADV
iajs-2291	32	8	by	by	ADP
iajs-2291	32	9	the	the	DET
iajs-2291	32	10	regular	regular	ADJ
iajs-2291	32	11	perturbation	perturbation	NOUN
iajs-2291	32	12	method	method	NOUN
iajs-2291	32	13	for	for	ADP
iajs-2291	32	14	small	small	ADJ
iajs-2291	32	15	values	value	NOUN
iajs-2291	32	16	of	of	ADP
iajs-2291	32	17	1	1	NUM
iajs-2291	32	18	𝑘	𝑘	X
iajs-2291	32	19	where	where	SCONJ
iajs-2291	32	20	𝑘	𝑘	NOUN
iajs-2291	32	21	is	be	AUX
iajs-2291	32	22	the	the	DET
iajs-2291	32	23	curvature	curvature	NOUN
iajs-2291	32	24	of	of	ADP
iajs-2291	32	25	the	the	DET
iajs-2291	32	26	channel	channel	NOUN
iajs-2291	32	27	.	.	PUNCT
iajs-2291	33	1	the	the	DET
iajs-2291	33	2	impact	impact	NOUN
iajs-2291	33	3	of	of	ADP
iajs-2291	33	4	the	the	DET
iajs-2291	33	5	different	different	ADJ
iajs-2291	33	6	physical	physical	ADJ
iajs-2291	33	7	parameters	parameter	NOUN
iajs-2291	33	8	on	on	ADP
iajs-2291	33	9	the	the	DET
iajs-2291	33	10	velocity	velocity	NOUN
iajs-2291	33	11	axial	axial	NOUN
iajs-2291	33	12	,	,	PUNCT
iajs-2291	33	13	the	the	DET
iajs-2291	33	14	local	local	ADJ
iajs-2291	33	15	shear	shear	NOUN
iajs-2291	33	16	stress	stress	NOUN
iajs-2291	33	17	,	,	PUNCT
iajs-2291	33	18	the	the	DET
iajs-2291	33	19	pressure	pressure	NOUN
iajs-2291	33	20	gradient	gradient	NOUN
iajs-2291	33	21	,	,	PUNCT
iajs-2291	33	22	pressure	pressure	NOUN
iajs-2291	33	23	rise	rise	NOUN
iajs-2291	33	24	and	and	CCONJ
iajs-2291	33	25	trapping	trap	VERB
iajs-2291	33	26	phenomenon	phenomenon	NOUN
iajs-2291	33	27	are	be	AUX
iajs-2291	33	28	discussed	discuss	VERB
iajs-2291	33	29	in	in	ADP
iajs-2291	33	30	detail	detail	NOUN
iajs-2291	33	31	with	with	ADP
iajs-2291	33	32	the	the	DET
iajs-2291	33	33	use	use	NOUN
iajs-2291	33	34	of	of	ADP
iajs-2291	33	35	the	the	DET
iajs-2291	33	36	graphs	graph	NOUN
iajs-2291	33	37	.	.	PUNCT
iajs-2291	34	1	2	2	X
iajs-2291	34	2	.	.	X
iajs-2291	34	3	problem	problem	NOUN
iajs-2291	34	4	statement	statement	NOUN
iajs-2291	34	5	assume	assume	VERB
iajs-2291	34	6	the	the	DET
iajs-2291	34	7	peristaltic	peristaltic	ADJ
iajs-2291	34	8	flow	flow	NOUN
iajs-2291	34	9	of	of	ADP
iajs-2291	34	10	an	an	DET
iajs-2291	34	11	incompressible	incompressible	ADJ
iajs-2291	34	12	bingham	bingham	PROPN
iajs-2291	34	13	plastic	plastic	NOUN
iajs-2291	34	14	fluid	fluid	NOUN
iajs-2291	34	15	in	in	ADP
iajs-2291	34	16	a	a	DET
iajs-2291	34	17	curved	curved	ADJ
iajs-2291	34	18	channel	channel	NOUN
iajs-2291	34	19	of	of	ADP
iajs-2291	34	20	thickness	thickness	NOUN
iajs-2291	34	21	2𝑎	2𝑎	NUM
iajs-2291	34	22	convolute	convolute	VERB
iajs-2291	34	23	in	in	ADP
iajs-2291	34	24	a	a	DET
iajs-2291	34	25	circle	circle	NOUN
iajs-2291	34	26	with	with	ADP
iajs-2291	34	27	center	center	NOUN
iajs-2291	34	28	0	0	PUNCT
iajs-2291	34	29	and	and	CCONJ
iajs-2291	34	30	radius	radius	NOUN
iajs-2291	34	31	𝑅∗	𝑅∗	NUM
iajs-2291	34	32	where	where	SCONJ
iajs-2291	34	33	the	the	DET
iajs-2291	34	34	space	space	NOUN
iajs-2291	34	35	inside	inside	ADP
iajs-2291	34	36	the	the	DET
iajs-2291	34	37	channel	channel	NOUN
iajs-2291	34	38	filled	fill	VERB
iajs-2291	34	39	with	with	ADP
iajs-2291	34	40	bingham	bingham	PROPN
iajs-2291	34	41	plastic	plastic	NOUN
iajs-2291	34	42	fluid	fluid	NOUN
iajs-2291	34	43	.	.	PUNCT
iajs-2291	35	1	the	the	DET
iajs-2291	35	2	velocity	velocity	NOUN
iajs-2291	35	3	components	component	NOUN
iajs-2291	35	4	in	in	ADP
iajs-2291	35	5	radial	radial	ADJ
iajs-2291	35	6	�	�	PROPN
iajs-2291	35	7	̅	̅	NOUN
iajs-2291	35	8	�	�	PROPN
iajs-2291	35	9	and	and	CCONJ
iajs-2291	35	10	axial	axial	ADJ
iajs-2291	35	11	�	�	PROPN
iajs-2291	35	12	̅	̅	NOUN
iajs-2291	35	13	�	�	NOUN
iajs-2291	35	14	direction	direction	NOUN
iajs-2291	35	15	are	be	AUX
iajs-2291	35	16	�	�	NOUN
iajs-2291	35	17	̅	̅	NOUN
iajs-2291	35	18	�	�	PROPN
iajs-2291	35	19	and	and	CCONJ
iajs-2291	35	20	�	�	PROPN
iajs-2291	35	21	̅	̅	NOUN
iajs-2291	35	22	�	�	NOUN
iajs-2291	35	23	respectively	respectively	ADV
iajs-2291	35	24	.	.	PUNCT
iajs-2291	36	1	the	the	DET
iajs-2291	36	2	flow	flow	NOUN
iajs-2291	36	3	of	of	ADP
iajs-2291	36	4	bingham	bingham	PROPN
iajs-2291	36	5	plastic	plastic	NOUN
iajs-2291	36	6	fluid	fluid	NOUN
iajs-2291	36	7	in	in	ADP
iajs-2291	36	8	the	the	DET
iajs-2291	36	9	curved	curved	ADJ
iajs-2291	36	10	channel	channel	NOUN
iajs-2291	36	11	consequent	consequent	NOUN
iajs-2291	36	12	to	to	ADP
iajs-2291	36	13	the	the	DET
iajs-2291	36	14	contraction	contraction	NOUN
iajs-2291	36	15	and	and	CCONJ
iajs-2291	36	16	dilation	dilation	NOUN
iajs-2291	36	17	of	of	ADP
iajs-2291	36	18	the	the	DET
iajs-2291	36	19	flexible	flexible	ADJ
iajs-2291	36	20	walls	wall	NOUN
iajs-2291	36	21	of	of	ADP
iajs-2291	36	22	the	the	DET
iajs-2291	36	23	channel	channel	NOUN
iajs-2291	36	24	where	where	SCONJ
iajs-2291	36	25	the	the	DET
iajs-2291	36	26	inertial	inertial	ADJ
iajs-2291	36	27	force	force	NOUN
iajs-2291	36	28	effects	effect	NOUN
iajs-2291	36	29	are	be	AUX
iajs-2291	36	30	taken	take	VERB
iajs-2291	36	31	small	small	ADJ
iajs-2291	36	32	.	.	PUNCT
iajs-2291	37	1	the	the	DET
iajs-2291	37	2	walls	wall	NOUN
iajs-2291	37	3	of	of	ADP
iajs-2291	37	4	the	the	DET
iajs-2291	37	5	channel	channel	NOUN
iajs-2291	37	6	are	be	AUX
iajs-2291	37	7	described	describe	VERB
iajs-2291	37	8	mathematically	mathematically	ADV
iajs-2291	37	9	as	as	SCONJ
iajs-2291	37	10	follows	follow	VERB
iajs-2291	37	11	:	:	PUNCT
iajs-2291	37	12	�	�	NOUN
iajs-2291	37	13	̅	̅	NOUN
iajs-2291	37	14	�	�	PROPN
iajs-2291	37	15	(	(	PUNCT
iajs-2291	37	16	�	�	NOUN
iajs-2291	37	17	̅	̅	NOUN
iajs-2291	37	18	�	�	NOUN
iajs-2291	37	19	,	,	PUNCT
iajs-2291	37	20	𝑡̅	𝑡̅	PROPN
iajs-2291	37	21	)	)	PUNCT
iajs-2291	37	22	=	=	PUNCT
iajs-2291	38	1	𝑎	𝑎	PRON
iajs-2291	38	2	+	+	PUNCT
iajs-2291	38	3	𝑏	𝑏	DET
iajs-2291	38	4	sin	sin	NOUN
iajs-2291	38	5	[	[	PUNCT
iajs-2291	38	6	2𝜋	2𝜋	NOUN
iajs-2291	38	7	𝜆	𝜆	NOUN
iajs-2291	38	8	(	(	PUNCT
iajs-2291	38	9	�	�	NOUN
iajs-2291	38	10	̅	̅	NOUN
iajs-2291	38	11	�	�	NOUN
iajs-2291	38	12	−	−	NOUN
iajs-2291	38	13	𝑐𝑡)̅	𝑐𝑡)̅	NOUN
iajs-2291	38	14	]	]	PUNCT
iajs-2291	38	15	,	,	PUNCT
iajs-2291	38	16	upper	upper	ADJ
iajs-2291	38	17	wall	wall	NOUN
iajs-2291	38	18	−	−	PROPN
iajs-2291	38	19	�	�	NOUN
iajs-2291	38	20	̅	̅	NOUN
iajs-2291	38	21	�	�	NOUN
iajs-2291	38	22	(	(	PUNCT
iajs-2291	38	23	�	�	NOUN
iajs-2291	38	24	̅	̅	NOUN
iajs-2291	38	25	�	�	NOUN
iajs-2291	38	26	,	,	PUNCT
iajs-2291	38	27	𝑡̅	𝑡̅	PROPN
iajs-2291	38	28	)	)	PUNCT
iajs-2291	38	29	=	=	SYM
iajs-2291	39	1	−𝑎	−𝑎	NOUN
iajs-2291	39	2	−	−	PROPN
iajs-2291	39	3	𝑏	𝑏	PROPN
iajs-2291	39	4	sin	sin	NOUN
iajs-2291	39	5	[	[	PUNCT
iajs-2291	39	6	2𝜋	2𝜋	NOUN
iajs-2291	39	7	𝜆	𝜆	NOUN
iajs-2291	39	8	(	(	PUNCT
iajs-2291	39	9	�	�	NOUN
iajs-2291	39	10	̅	̅	NOUN
iajs-2291	39	11	�	�	PROPN
iajs-2291	39	12	−	−	PROPN
iajs-2291	39	13	𝑐𝑡̅	𝑐𝑡̅	NOUN
iajs-2291	39	14	)	)	PUNCT
iajs-2291	39	15	]	]	PUNCT
iajs-2291	39	16	,	,	PUNCT
iajs-2291	39	17	lower	lower	PROPN
iajs-2291	39	18	wall	wall	NOUN
iajs-2291	39	19	(	(	PUNCT
iajs-2291	39	20	1	1	NUM
iajs-2291	39	21	)	)	PUNCT
iajs-2291	39	22	where	where	SCONJ
iajs-2291	39	23	c	c	NOUN
iajs-2291	39	24	is	be	AUX
iajs-2291	39	25	the	the	DET
iajs-2291	39	26	speed	speed	NOUN
iajs-2291	39	27	,	,	PUNCT
iajs-2291	39	28	𝑏	𝑏	PROPN
iajs-2291	39	29	is	be	AUX
iajs-2291	39	30	the	the	DET
iajs-2291	39	31	amplitude	amplitude	NOUN
iajs-2291	39	32	of	of	ADP
iajs-2291	39	33	wave	wave	NOUN
iajs-2291	39	34	along	along	ADP
iajs-2291	39	35	the	the	DET
iajs-2291	39	36	upper	upper	ADJ
iajs-2291	39	37	and	and	CCONJ
iajs-2291	39	38	lower	low	ADJ
iajs-2291	39	39	walls	wall	NOUN
iajs-2291	39	40	and	and	CCONJ
iajs-2291	39	41	𝜆	𝜆	NOUN
iajs-2291	39	42	is	be	AUX
iajs-2291	39	43	the	the	DET
iajs-2291	39	44	wave	wave	NOUN
iajs-2291	39	45	length	length	NOUN
iajs-2291	39	46	.	.	PUNCT
iajs-2291	40	1	the	the	DET
iajs-2291	40	2	wave	wave	NOUN
iajs-2291	40	3	length	length	NOUN
iajs-2291	40	4	is	be	AUX
iajs-2291	40	5	taken	take	VERB
iajs-2291	40	6	large	large	ADJ
iajs-2291	40	7	however	however	ADV
iajs-2291	40	8	in	in	ADP
iajs-2291	40	9	more	more	ADV
iajs-2291	40	10	realistic	realistic	ADJ
iajs-2291	40	11	situations	situation	NOUN
iajs-2291	40	12	it	it	PRON
iajs-2291	40	13	depends	depend	VERB
iajs-2291	40	14	on	on	ADP
iajs-2291	40	15	time	time	NOUN
iajs-2291	40	16	as	as	SCONJ
iajs-2291	40	17	the	the	DET
iajs-2291	40	18	contraction	contraction	NOUN
iajs-2291	40	19	and	and	CCONJ
iajs-2291	40	20	dilation	dilation	NOUN
iajs-2291	40	21	in	in	ADP
iajs-2291	40	22	natural	natural	ADJ
iajs-2291	40	23	systems	system	NOUN
iajs-2291	40	24	are	be	AUX
iajs-2291	40	25	account	account	NOUN
iajs-2291	40	26	on	on	ADP
iajs-2291	40	27	varying	vary	VERB
iajs-2291	40	28	𝜆.	𝜆.	NOUN
iajs-2291	41	1	the	the	DET
iajs-2291	41	2	width	width	NOUN
iajs-2291	41	3	of	of	ADP
iajs-2291	41	4	curved	curved	ADJ
iajs-2291	41	5	channel	channel	NOUN
iajs-2291	41	6	perpendicular	perpendicular	NOUN
iajs-2291	41	7	to	to	ADP
iajs-2291	41	8	the	the	DET
iajs-2291	41	9	plane	plane	NOUN
iajs-2291	41	10	is	be	AUX
iajs-2291	41	11	supposed	suppose	VERB
iajs-2291	41	12	to	to	PART
iajs-2291	41	13	be	be	AUX
iajs-2291	41	14	infinite	infinite	ADJ
iajs-2291	41	15	so	so	SCONJ
iajs-2291	41	16	the	the	DET
iajs-2291	41	17	flow	flow	NOUN
iajs-2291	41	18	can	can	AUX
iajs-2291	41	19	safely	safely	ADV
iajs-2291	41	20	be	be	AUX
iajs-2291	41	21	taken	take	VERB
iajs-2291	41	22	as	as	ADP
iajs-2291	41	23	two	two	NUM
iajs-2291	41	24	dimensional	dimensional	ADJ
iajs-2291	41	25	.	.	PUNCT
iajs-2291	42	1	the	the	DET
iajs-2291	42	2	flow	flow	NOUN
iajs-2291	42	3	is	be	AUX
iajs-2291	42	4	assumed	assume	VERB
iajs-2291	42	5	to	to	PART
iajs-2291	42	6	be	be	AUX
iajs-2291	42	7	laminar	laminar	ADJ
iajs-2291	42	8	.	.	PUNCT
iajs-2291	43	1	then	then	ADV
iajs-2291	43	2	the	the	DET
iajs-2291	43	3	velocity	velocity	NOUN
iajs-2291	43	4	field	field	NOUN
iajs-2291	43	5	which	which	PRON
iajs-2291	43	6	is	be	AUX
iajs-2291	43	7	consider	consider	VERB
iajs-2291	43	8	as	as	ADP
iajs-2291	43	9	the	the	DET
iajs-2291	43	10	following	follow	VERB
iajs-2291	43	11	form	form	NOUN
iajs-2291	43	12	:	:	PUNCT
iajs-2291	43	13	�	�	NOUN
iajs-2291	43	14	̅	̅	NOUN
iajs-2291	43	15	�	�	NOUN
iajs-2291	43	16	=	=	PUNCT
iajs-2291	43	17	[	[	PUNCT
iajs-2291	43	18	�	�	NOUN
iajs-2291	43	19	̅	̅	NOUN
iajs-2291	43	20	�	�	PROPN
iajs-2291	43	21	(	(	PUNCT
iajs-2291	43	22	�	�	NOUN
iajs-2291	43	23	̅	̅	NOUN
iajs-2291	43	24	�	�	PROPN
iajs-2291	43	25	,	,	PUNCT
iajs-2291	43	26	�	�	PROPN
iajs-2291	43	27	̅	̅	NOUN
iajs-2291	43	28	�	�	NOUN
iajs-2291	43	29	,	,	PUNCT
iajs-2291	43	30	𝑡̅	𝑡̅	PROPN
iajs-2291	43	31	)	)	PUNCT
iajs-2291	43	32	,	,	PUNCT
iajs-2291	43	33	�	�	PROPN
iajs-2291	43	34	̅	̅	NOUN
iajs-2291	43	35	�	�	PROPN
iajs-2291	43	36	(	(	PUNCT
iajs-2291	43	37	�	�	NOUN
iajs-2291	43	38	̅	̅	NOUN
iajs-2291	43	39	�	�	PROPN
iajs-2291	43	40	,	,	PUNCT
iajs-2291	43	41	�	�	PROPN
iajs-2291	43	42	̅	̅	NOUN
iajs-2291	43	43	�	�	NOUN
iajs-2291	43	44	,	,	PUNCT
iajs-2291	43	45	𝑡̅	𝑡̅	PROPN
iajs-2291	43	46	)	)	PUNCT
iajs-2291	43	47	,	,	PUNCT
iajs-2291	43	48	0	0	X
iajs-2291	43	49	]	]	PUNCT
iajs-2291	43	50	figure	figure	NOUN
iajs-2291	43	51	1	1	NUM
iajs-2291	43	52	.	.	PUNCT
iajs-2291	44	1	the	the	DET
iajs-2291	44	2	geometry	geometry	NOUN
iajs-2291	44	3	of	of	ADP
iajs-2291	44	4	the	the	DET
iajs-2291	44	5	curved	curved	ADJ
iajs-2291	44	6	channel	channel	NOUN
iajs-2291	44	7	.	.	PUNCT
iajs-2291	45	1	ibn	ibn	PROPN
iajs-2291	45	2	al	al	PROPN
iajs-2291	45	3	-	-	PUNCT
iajs-2291	45	4	haitham	haitham	PROPN
iajs-2291	45	5	jour	jour	X
iajs-2291	45	6	.	.	PROPN
iajs-2291	45	7	for	for	ADP
iajs-2291	45	8	pure	pure	ADJ
iajs-2291	45	9	&	&	CCONJ
iajs-2291	45	10	appl	appl	PROPN
iajs-2291	45	11	.	.	PUNCT
iajs-2291	46	1	sci	sci	PROPN
iajs-2291	46	2	.	.	PROPN
iajs-2291	46	3	32	32	NUM
iajs-2291	46	4	(	(	PUNCT
iajs-2291	46	5	3	3	NUM
iajs-2291	46	6	)	)	PUNCT
iajs-2291	46	7	2019	2019	NUM
iajs-2291	46	8	142	142	NUM
iajs-2291	46	9	for	for	ADP
iajs-2291	46	10	an	an	DET
iajs-2291	46	11	incompressible	incompressible	ADJ
iajs-2291	46	12	bingham	bingham	PROPN
iajs-2291	46	13	plastic	plastic	NOUN
iajs-2291	46	14	fluid	fluid	NOUN
iajs-2291	46	15	the	the	DET
iajs-2291	46	16	conservation	conservation	NOUN
iajs-2291	46	17	of	of	ADP
iajs-2291	46	18	mass	mass	NOUN
iajs-2291	46	19	and	and	CCONJ
iajs-2291	46	20	momentum	momentum	NOUN
iajs-2291	46	21	for	for	ADP
iajs-2291	46	22	the	the	DET
iajs-2291	46	23	velocity	velocity	NOUN
iajs-2291	46	24	field	field	NOUN
iajs-2291	46	25	are	be	AUX
iajs-2291	46	26	given	give	VERB
iajs-2291	46	27	as	as	SCONJ
iajs-2291	46	28	follows	follow	VERB
iajs-2291	46	29	:	:	PUNCT
iajs-2291	46	30	∇.	∇.	NUM
iajs-2291	46	31	�	�	NOUN
iajs-2291	46	32	̅	̅	NOUN
iajs-2291	46	33	�	�	NOUN
iajs-2291	46	34	=	=	SYM
iajs-2291	46	35	0	0	NUM
iajs-2291	46	36	𝜌	𝜌	X
iajs-2291	46	37	(	(	PUNCT
iajs-2291	46	38	𝜕	𝜕	NOUN
iajs-2291	46	39	�	�	NOUN
iajs-2291	46	40	̅	̅	NOUN
iajs-2291	46	41	�	�	PROPN
iajs-2291	46	42	𝜕𝑡	𝜕𝑡	PROPN
iajs-2291	46	43	+	+	CCONJ
iajs-2291	46	44	(	(	PUNCT
iajs-2291	46	45	�	�	NOUN
iajs-2291	46	46	̅	̅	NOUN
iajs-2291	46	47	�	�	PROPN
iajs-2291	46	48	.	.	PUNCT
iajs-2291	46	49	∇̅)	∇̅)	PROPN
iajs-2291	46	50	�	�	PROPN
iajs-2291	46	51	̅	̅	NOUN
iajs-2291	46	52	�	�	NOUN
iajs-2291	46	53	)	)	PUNCT
iajs-2291	46	54	=	=	SYM
iajs-2291	46	55	−∇	−∇	NOUN
iajs-2291	46	56	�	�	NOUN
iajs-2291	46	57	̅	̅	NOUN
iajs-2291	46	58	�	�	NOUN
iajs-2291	46	59	+	+	CCONJ
iajs-2291	46	60	∇.	∇.	NUM
iajs-2291	46	61	𝜏̅	𝜏̅	X
iajs-2291	46	62	(	(	PUNCT
iajs-2291	46	63	2	2	NUM
iajs-2291	46	64	)	)	PUNCT
iajs-2291	46	65	where	where	SCONJ
iajs-2291	46	66	𝜌	𝜌	PRON
iajs-2291	46	67	is	be	AUX
iajs-2291	46	68	the	the	DET
iajs-2291	46	69	density	density	NOUN
iajs-2291	46	70	of	of	ADP
iajs-2291	46	71	the	the	DET
iajs-2291	46	72	fluid	fluid	NOUN
iajs-2291	46	73	,	,	PUNCT
iajs-2291	46	74	�	�	NOUN
iajs-2291	46	75	̅	̅	NOUN
iajs-2291	46	76	�	�	NOUN
iajs-2291	46	77	is	be	AUX
iajs-2291	46	78	the	the	DET
iajs-2291	46	79	pressure	pressure	NOUN
iajs-2291	46	80	and	and	CCONJ
iajs-2291	46	81	𝜏̅	𝜏̅	PROPN
iajs-2291	46	82	is	be	AUX
iajs-2291	46	83	the	the	DET
iajs-2291	46	84	stress	stress	NOUN
iajs-2291	46	85	tensor	tensor	NOUN
iajs-2291	46	86	.	.	PUNCT
iajs-2291	47	1	𝜕	𝜕	NOUN
iajs-2291	47	2	�	�	PROPN
iajs-2291	47	3	̅	̅	NOUN
iajs-2291	47	4	�	�	PROPN
iajs-2291	47	5	𝜕	𝜕	PROPN
iajs-2291	47	6	�	�	PROPN
iajs-2291	47	7	̅	̅	NOUN
iajs-2291	47	8	�	�	NOUN
iajs-2291	47	9	+	+	NUM
iajs-2291	47	10	𝑅∗	𝑅∗	ADJ
iajs-2291	47	11	𝑅∗+	𝑅∗+	NOUN
iajs-2291	47	12	�	�	NOUN
iajs-2291	47	13	̅	̅	NOUN
iajs-2291	47	14	�	�	PROPN
iajs-2291	47	15	𝜕	𝜕	PROPN
iajs-2291	47	16	�	�	PROPN
iajs-2291	47	17	̅	̅	NOUN
iajs-2291	47	18	�	�	PROPN
iajs-2291	47	19	𝜕	𝜕	PROPN
iajs-2291	47	20	�	�	PROPN
iajs-2291	47	21	̅	̅	NOUN
iajs-2291	47	22	�	�	PROPN
iajs-2291	47	23	+	+	CCONJ
iajs-2291	47	24	�	�	PROPN
iajs-2291	47	25	̅	̅	NOUN
iajs-2291	47	26	�	�	PROPN
iajs-2291	47	27	𝑅∗+	𝑅∗+	SYM
iajs-2291	47	28	�	�	NOUN
iajs-2291	47	29	̅	̅	NOUN
iajs-2291	47	30	�	�	NOUN
iajs-2291	47	31	=	=	SYM
iajs-2291	47	32	0	0	NUM
iajs-2291	47	33	(	(	PUNCT
iajs-2291	47	34	3	3	NUM
iajs-2291	47	35	)	)	PUNCT
iajs-2291	47	36	𝜌	𝜌	X
iajs-2291	47	37	[	[	PUNCT
iajs-2291	47	38	𝜕	𝜕	NOUN
iajs-2291	47	39	�	�	NOUN
iajs-2291	47	40	̅	̅	NOUN
iajs-2291	47	41	�	�	PROPN
iajs-2291	47	42	𝜕	𝜕	PROPN
iajs-2291	47	43	�	�	PROPN
iajs-2291	47	44	̅	̅	NOUN
iajs-2291	47	45	�	�	PROPN
iajs-2291	47	46	+	+	CCONJ
iajs-2291	47	47	�	�	PROPN
iajs-2291	47	48	̅	̅	NOUN
iajs-2291	47	49	�	�	PROPN
iajs-2291	47	50	𝜕	𝜕	PROPN
iajs-2291	47	51	�	�	PROPN
iajs-2291	47	52	̅	̅	NOUN
iajs-2291	47	53	�	�	PROPN
iajs-2291	47	54	𝜕	𝜕	PROPN
iajs-2291	47	55	�	�	PROPN
iajs-2291	47	56	̅	̅	NOUN
iajs-2291	47	57	�	�	NOUN
iajs-2291	47	58	+	+	NOUN
iajs-2291	47	59	𝑅∗	𝑅∗	ADJ
iajs-2291	47	60	�	�	NOUN
iajs-2291	47	61	̅	̅	NOUN
iajs-2291	47	62	�	�	PROPN
iajs-2291	47	63	𝑅∗+	𝑅∗+	SYM
iajs-2291	47	64	�	�	NOUN
iajs-2291	47	65	̅	̅	NOUN
iajs-2291	47	66	�	�	PROPN
iajs-2291	47	67	𝜕	𝜕	PROPN
iajs-2291	47	68	�	�	PROPN
iajs-2291	47	69	̅	̅	NOUN
iajs-2291	47	70	�	�	PROPN
iajs-2291	47	71	𝜕	𝜕	PROPN
iajs-2291	47	72	�	�	PROPN
iajs-2291	47	73	̅	̅	NOUN
iajs-2291	47	74	�	�	PROPN
iajs-2291	47	75	−	−	PROPN
iajs-2291	47	76	�	�	NOUN
iajs-2291	47	77	̅	̅	NOUN
iajs-2291	47	78	�	�	NOUN
iajs-2291	47	79	2	2	NUM
iajs-2291	47	80	𝑅∗+	𝑅∗+	NUM
iajs-2291	47	81	�	�	NOUN
iajs-2291	47	82	̅	̅	NOUN
iajs-2291	47	83	�	�	NOUN
iajs-2291	47	84	]	]	PUNCT
iajs-2291	47	85	=	=	PUNCT
iajs-2291	47	86	−	−	PROPN
iajs-2291	47	87	𝜕	𝜕	NOUN
iajs-2291	47	88	�	�	PROPN
iajs-2291	47	89	̅	̅	NOUN
iajs-2291	47	90	�	�	PROPN
iajs-2291	47	91	𝜕	𝜕	PROPN
iajs-2291	47	92	�	�	PROPN
iajs-2291	47	93	̅	̅	NOUN
iajs-2291	47	94	�	�	NOUN
iajs-2291	47	95	+	+	CCONJ
iajs-2291	47	96	1	1	NUM
iajs-2291	47	97	𝑅∗+	𝑅∗+	NUM
iajs-2291	47	98	�	�	NOUN
iajs-2291	47	99	̅	̅	NOUN
iajs-2291	47	100	�	�	PROPN
iajs-2291	47	101	𝜕	𝜕	PROPN
iajs-2291	47	102	𝜕	𝜕	PROPN
iajs-2291	47	103	�	�	PROPN
iajs-2291	47	104	̅	̅	NOUN
iajs-2291	47	105	�	�	NOUN
iajs-2291	47	106	[	[	X
iajs-2291	47	107	(	(	PUNCT
iajs-2291	47	108	𝑅∗	𝑅∗	ADJ
iajs-2291	47	109	+	+	ADJ
iajs-2291	47	110	�	�	NOUN
iajs-2291	47	111	̅	̅	NOUN
iajs-2291	47	112	�	�	PROPN
iajs-2291	47	113	)𝜏	)𝜏	PROPN
iajs-2291	47	114	�	�	PROPN
iajs-2291	47	115	̅̅	̅̅	PROPN
iajs-2291	47	116	�	�	PROPN
iajs-2291	47	117	�	�	PROPN
iajs-2291	47	118	̅	̅	NOUN
iajs-2291	47	119	�	�	NOUN
iajs-2291	47	120	]	]	PUNCT
iajs-2291	47	121	+	+	CCONJ
iajs-2291	47	122	(	(	PUNCT
iajs-2291	47	123	𝑅∗	𝑅∗	ADJ
iajs-2291	47	124	𝑅∗+	𝑅∗+	NOUN
iajs-2291	47	125	�	�	NOUN
iajs-2291	47	126	̅	̅	NOUN
iajs-2291	47	127	�	�	PROPN
iajs-2291	47	128	)	)	PUNCT
iajs-2291	47	129	𝜕	𝜕	PROPN
iajs-2291	47	130	�	�	PROPN
iajs-2291	47	131	̅	̅	NOUN
iajs-2291	47	132	�	�	NOUN
iajs-2291	47	133	�	�	NOUN
iajs-2291	47	134	̅	̅	NOUN
iajs-2291	47	135	�	�	NOUN
iajs-2291	47	136	�	�	NOUN
iajs-2291	47	137	̅	̅	NOUN
iajs-2291	47	138	�	�	PROPN
iajs-2291	47	139	𝜕	𝜕	PROPN
iajs-2291	47	140	�	�	PROPN
iajs-2291	47	141	̅	̅	NOUN
iajs-2291	47	142	�	�	PROPN
iajs-2291	47	143	−	−	PROPN
iajs-2291	47	144	�	�	NOUN
iajs-2291	47	145	̅	̅	NOUN
iajs-2291	47	146	�	�	NOUN
iajs-2291	47	147	�	�	NOUN
iajs-2291	47	148	̅	̅	NOUN
iajs-2291	47	149	�	�	NOUN
iajs-2291	47	150	�	�	NOUN
iajs-2291	47	151	̅	̅	NOUN
iajs-2291	47	152	�	�	PROPN
iajs-2291	47	153	𝑅∗+	𝑅∗+	SYM
iajs-2291	47	154	�	�	NOUN
iajs-2291	47	155	̅	̅	NOUN
iajs-2291	47	156	�	�	NOUN
iajs-2291	47	157	(	(	PUNCT
iajs-2291	47	158	4	4	NUM
iajs-2291	47	159	)	)	PUNCT
iajs-2291	47	160	𝜌	𝜌	X
iajs-2291	47	161	[	[	PUNCT
iajs-2291	47	162	𝜕	𝜕	NOUN
iajs-2291	47	163	�	�	NOUN
iajs-2291	47	164	̅	̅	NOUN
iajs-2291	47	165	�	�	PROPN
iajs-2291	47	166	𝜕	𝜕	PROPN
iajs-2291	47	167	�	�	PROPN
iajs-2291	47	168	̅	̅	NOUN
iajs-2291	47	169	�	�	PROPN
iajs-2291	47	170	+	+	CCONJ
iajs-2291	47	171	�	�	PROPN
iajs-2291	47	172	̅	̅	NOUN
iajs-2291	47	173	�	�	PROPN
iajs-2291	47	174	𝜕	𝜕	PROPN
iajs-2291	47	175	�	�	PROPN
iajs-2291	47	176	̅	̅	NOUN
iajs-2291	47	177	�	�	PROPN
iajs-2291	47	178	𝜕	𝜕	PROPN
iajs-2291	47	179	�	�	PROPN
iajs-2291	47	180	̅	̅	NOUN
iajs-2291	47	181	�	�	NOUN
iajs-2291	47	182	+	+	NOUN
iajs-2291	47	183	𝑅∗	𝑅∗	ADJ
iajs-2291	47	184	�	�	NOUN
iajs-2291	47	185	̅	̅	NOUN
iajs-2291	47	186	�	�	PROPN
iajs-2291	47	187	𝑅∗+	𝑅∗+	SYM
iajs-2291	47	188	�	�	NOUN
iajs-2291	47	189	̅	̅	NOUN
iajs-2291	47	190	�	�	PROPN
iajs-2291	47	191	𝜕	𝜕	PROPN
iajs-2291	47	192	�	�	PROPN
iajs-2291	47	193	̅	̅	NOUN
iajs-2291	47	194	�	�	PROPN
iajs-2291	47	195	𝜕	𝜕	PROPN
iajs-2291	47	196	�	�	PROPN
iajs-2291	47	197	̅	̅	NOUN
iajs-2291	47	198	�	�	PROPN
iajs-2291	47	199	+	+	CCONJ
iajs-2291	47	200	�	�	NOUN
iajs-2291	47	201	̅	̅	NOUN
iajs-2291	47	202	�	�	NOUN
iajs-2291	47	203	�	�	NOUN
iajs-2291	47	204	̅	̅	NOUN
iajs-2291	47	205	�	�	PROPN
iajs-2291	47	206	𝑅∗+	𝑅∗+	SYM
iajs-2291	47	207	�	�	NOUN
iajs-2291	47	208	̅	̅	NOUN
iajs-2291	47	209	�	�	NOUN
iajs-2291	47	210	]	]	PUNCT
iajs-2291	47	211	=	=	PUNCT
iajs-2291	48	1	−	−	PROPN
iajs-2291	48	2	(	(	PUNCT
iajs-2291	48	3	𝑅∗	𝑅∗	ADJ
iajs-2291	48	4	𝑅∗+	𝑅∗+	NOUN
iajs-2291	48	5	�	�	NOUN
iajs-2291	48	6	̅	̅	NOUN
iajs-2291	48	7	�	�	PROPN
iajs-2291	48	8	)	)	PUNCT
iajs-2291	48	9	𝜕	𝜕	PROPN
iajs-2291	48	10	�	�	PROPN
iajs-2291	48	11	̅	̅	NOUN
iajs-2291	48	12	�	�	PROPN
iajs-2291	48	13	𝜕	𝜕	PROPN
iajs-2291	48	14	�	�	PROPN
iajs-2291	48	15	̅	̅	NOUN
iajs-2291	48	16	�	�	NOUN
iajs-2291	48	17	+	+	CCONJ
iajs-2291	48	18	1	1	NUM
iajs-2291	48	19	(	(	PUNCT
iajs-2291	48	20	𝑅∗+	𝑅∗+	NOUN
iajs-2291	48	21	�	�	NOUN
iajs-2291	48	22	̅	̅	NOUN
iajs-2291	48	23	�	�	NOUN
iajs-2291	48	24	)2	)2	PUNCT
iajs-2291	48	25	𝜕	𝜕	PROPN
iajs-2291	48	26	𝜕	𝜕	PROPN
iajs-2291	48	27	�	�	PROPN
iajs-2291	48	28	̅	̅	NOUN
iajs-2291	48	29	�	�	NOUN
iajs-2291	48	30	[	[	X
iajs-2291	48	31	(	(	PUNCT
iajs-2291	48	32	𝑅∗	𝑅∗	ADJ
iajs-2291	48	33	+	+	ADJ
iajs-2291	48	34	�	�	NOUN
iajs-2291	48	35	̅	̅	NOUN
iajs-2291	48	36	�	�	NOUN
iajs-2291	48	37	)2𝜏	)2𝜏	SYM
iajs-2291	48	38	�	�	PROPN
iajs-2291	48	39	̅̅	̅̅	PROPN
iajs-2291	48	40	�	�	PROPN
iajs-2291	48	41	�	�	PROPN
iajs-2291	48	42	̅	̅	NOUN
iajs-2291	48	43	�	�	NOUN
iajs-2291	48	44	]	]	PUNCT
iajs-2291	48	45	+	+	CCONJ
iajs-2291	48	46	(	(	PUNCT
iajs-2291	48	47	𝑅∗	𝑅∗	ADJ
iajs-2291	48	48	𝑅∗+	𝑅∗+	NOUN
iajs-2291	48	49	�	�	NOUN
iajs-2291	48	50	̅	̅	NOUN
iajs-2291	48	51	�	�	PROPN
iajs-2291	48	52	)	)	PUNCT
iajs-2291	48	53	𝜕	𝜕	PROPN
iajs-2291	48	54	�	�	PROPN
iajs-2291	48	55	̅	̅	NOUN
iajs-2291	48	56	�	�	NOUN
iajs-2291	48	57	�	�	NOUN
iajs-2291	48	58	̅	̅	NOUN
iajs-2291	48	59	�	�	NOUN
iajs-2291	48	60	�	�	NOUN
iajs-2291	48	61	̅	̅	NOUN
iajs-2291	48	62	�	�	PROPN
iajs-2291	48	63	𝜕	𝜕	PROPN
iajs-2291	48	64	�	�	PROPN
iajs-2291	48	65	̅	̅	NOUN
iajs-2291	48	66	�	�	NOUN
iajs-2291	48	67	(	(	PUNCT
iajs-2291	48	68	5	5	NUM
iajs-2291	48	69	)	)	PUNCT
iajs-2291	48	70	with	with	ADP
iajs-2291	48	71	the	the	DET
iajs-2291	48	72	boundary	boundary	ADJ
iajs-2291	48	73	conditions	condition	NOUN
iajs-2291	48	74	are	be	AUX
iajs-2291	48	75	taken	take	VERB
iajs-2291	48	76	in	in	ADP
iajs-2291	48	77	the	the	DET
iajs-2291	48	78	forms	form	NOUN
iajs-2291	48	79	as	as	SCONJ
iajs-2291	48	80	follows	follow	VERB
iajs-2291	48	81	:	:	PUNCT
iajs-2291	48	82	�	�	NOUN
iajs-2291	48	83	̅	̅	NOUN
iajs-2291	48	84	�	�	NOUN
iajs-2291	48	85	=	=	SYM
iajs-2291	48	86	0	0	NUM
iajs-2291	48	87	at	at	ADP
iajs-2291	48	88	∓	∓	PROPN
iajs-2291	48	89	�	�	SYM
iajs-2291	48	90	̅	̅	NOUN
iajs-2291	48	91	�	�	PROPN
iajs-2291	48	92	(	(	PUNCT
iajs-2291	48	93	�	�	NOUN
iajs-2291	48	94	̅	̅	NOUN
iajs-2291	48	95	�	�	NOUN
iajs-2291	48	96	,	,	PUNCT
iajs-2291	48	97	𝑡̅	𝑡̅	PROPN
iajs-2291	48	98	)	)	PUNCT
iajs-2291	48	99	=	=	SYM
iajs-2291	49	1	∓[𝑎	∓[𝑎	PROPN
iajs-2291	49	2	+	+	CCONJ
iajs-2291	49	3	𝑏	𝑏	DET
iajs-2291	49	4	sin	sin	NOUN
iajs-2291	49	5	[	[	PUNCT
iajs-2291	49	6	2𝜋	2𝜋	NOUN
iajs-2291	49	7	𝜆	𝜆	NOUN
iajs-2291	49	8	(	(	PUNCT
iajs-2291	49	9	�	�	NOUN
iajs-2291	49	10	̅	̅	NOUN
iajs-2291	49	11	�	�	PROPN
iajs-2291	49	12	−	−	PROPN
iajs-2291	49	13	𝑐𝑡̅	𝑐𝑡̅	NUM
iajs-2291	49	14	)	)	PUNCT
iajs-2291	49	15	]	]	PUNCT
iajs-2291	49	16	]	]	X
iajs-2291	49	17	(	(	PUNCT
iajs-2291	49	18	6	6	NUM
iajs-2291	49	19	)	)	PUNCT
iajs-2291	49	20	in	in	ADP
iajs-2291	49	21	the	the	DET
iajs-2291	49	22	fixed	fix	VERB
iajs-2291	49	23	frame	frame	NOUN
iajs-2291	49	24	of	of	ADP
iajs-2291	49	25	reference(	reference(	PROPN
iajs-2291	49	26	�	�	PROPN
iajs-2291	49	27	̅	̅	NOUN
iajs-2291	49	28	�	�	PROPN
iajs-2291	49	29	,	,	PUNCT
iajs-2291	49	30	�	�	NOUN
iajs-2291	49	31	̅	̅	NOUN
iajs-2291	49	32	�	�	NOUN
iajs-2291	49	33	)	)	PUNCT
iajs-2291	49	34	,	,	PUNCT
iajs-2291	49	35	the	the	DET
iajs-2291	49	36	flow	flow	NOUN
iajs-2291	49	37	in	in	ADP
iajs-2291	49	38	the	the	DET
iajs-2291	49	39	channel	channel	NOUN
iajs-2291	49	40	is	be	AUX
iajs-2291	49	41	unsteady	unsteady	ADJ
iajs-2291	49	42	.	.	PUNCT
iajs-2291	50	1	however	however	ADV
iajs-2291	50	2	it	it	PRON
iajs-2291	50	3	can	can	AUX
iajs-2291	50	4	be	be	AUX
iajs-2291	50	5	considered	consider	VERB
iajs-2291	50	6	as	as	ADV
iajs-2291	50	7	steady	steady	ADJ
iajs-2291	50	8	in	in	ADP
iajs-2291	50	9	the	the	DET
iajs-2291	50	10	wave	wave	NOUN
iajs-2291	50	11	frame	frame	NOUN
iajs-2291	50	12	with	with	ADP
iajs-2291	50	13	coordinate	coordinate	NOUN
iajs-2291	50	14	(	(	PUNCT
iajs-2291	50	15	�	�	NOUN
iajs-2291	50	16	̅	̅	NOUN
iajs-2291	50	17	�	�	PROPN
iajs-2291	50	18	,	,	PUNCT
iajs-2291	50	19	�	�	PROPN
iajs-2291	50	20	̅	̅	NOUN
iajs-2291	50	21	�	�	NOUN
iajs-2291	50	22	)	)	PUNCT
iajs-2291	50	23	moving	move	VERB
iajs-2291	50	24	with	with	ADP
iajs-2291	50	25	speed	speed	NOUN
iajs-2291	50	26	c.	c.	NOUN
iajs-2291	50	27	the	the	DET
iajs-2291	50	28	transformation	transformation	NOUN
iajs-2291	50	29	equations	equation	NOUN
iajs-2291	50	30	that	that	SCONJ
iajs-2291	50	31	relating	relate	VERB
iajs-2291	50	32	the	the	DET
iajs-2291	50	33	two	two	NUM
iajs-2291	50	34	frames	frame	NOUN
iajs-2291	50	35	are	be	AUX
iajs-2291	50	36	given	give	VERB
iajs-2291	50	37	as	as	SCONJ
iajs-2291	50	38	follows	follow	VERB
iajs-2291	50	39	:	:	PUNCT
iajs-2291	50	40	�	�	NOUN
iajs-2291	50	41	̅	̅	NOUN
iajs-2291	50	42	�	�	PROPN
iajs-2291	50	43	=	=	SYM
iajs-2291	50	44	�	�	PROPN
iajs-2291	50	45	̅	̅	NOUN
iajs-2291	50	46	�	�	PROPN
iajs-2291	50	47	−	−	PROPN
iajs-2291	50	48	𝑐𝑡̅	𝑐𝑡̅	PROPN
iajs-2291	50	49	,	,	PUNCT
iajs-2291	50	50	�	�	NOUN
iajs-2291	50	51	̅	̅	NOUN
iajs-2291	50	52	�	�	PROPN
iajs-2291	50	53	=	=	SYM
iajs-2291	50	54	�	�	PROPN
iajs-2291	50	55	̅	̅	NOUN
iajs-2291	50	56	�	�	PROPN
iajs-2291	50	57	,	,	PUNCT
iajs-2291	50	58	�	�	NOUN
iajs-2291	50	59	̅	̅	NOUN
iajs-2291	50	60	�	�	PROPN
iajs-2291	50	61	=	=	SYM
iajs-2291	50	62	�	�	PROPN
iajs-2291	50	63	̅	̅	NOUN
iajs-2291	50	64	�	�	NOUN
iajs-2291	50	65	−	−	PROPN
iajs-2291	50	66	𝑐	𝑐	PROPN
iajs-2291	50	67	,	,	PUNCT
iajs-2291	50	68	�	�	PROPN
iajs-2291	50	69	̅	̅	NOUN
iajs-2291	50	70	�	�	PROPN
iajs-2291	50	71	=	=	SYM
iajs-2291	50	72	�	�	PROPN
iajs-2291	50	73	̅	̅	NOUN
iajs-2291	50	74	�	�	PROPN
iajs-2291	50	75	,	,	PUNCT
iajs-2291	50	76	�	�	NOUN
iajs-2291	50	77	̅	̅	NOUN
iajs-2291	50	78	�	�	PROPN
iajs-2291	50	79	=	=	SYM
iajs-2291	50	80	�	�	PROPN
iajs-2291	50	81	̅	̅	NOUN
iajs-2291	50	82	�	�	PROPN
iajs-2291	50	83	(	(	PUNCT
iajs-2291	50	84	7	7	NUM
iajs-2291	50	85	)	)	PUNCT
iajs-2291	50	86	and	and	CCONJ
iajs-2291	50	87	presenting	present	VERB
iajs-2291	50	88	the	the	DET
iajs-2291	50	89	dimensionless	dimensionless	NOUN
iajs-2291	50	90	quantities	quantity	NOUN
iajs-2291	50	91	that	that	PRON
iajs-2291	50	92	used	use	VERB
iajs-2291	50	93	to	to	PART
iajs-2291	50	94	find	find	VERB
iajs-2291	50	95	out	out	ADP
iajs-2291	50	96	the	the	DET
iajs-2291	50	97	non	non	ADJ
iajs-2291	50	98	-	-	ADJ
iajs-2291	50	99	dimensional	dimensional	ADJ
iajs-2291	50	100	analysis	analysis	NOUN
iajs-2291	50	101	as	as	SCONJ
iajs-2291	50	102	follows	follow	VERB
iajs-2291	50	103	:	:	PUNCT
iajs-2291	50	104	𝑥	𝑥	X
iajs-2291	50	105	=	=	SYM
iajs-2291	50	106	2𝜋	2𝜋	NUM
iajs-2291	50	107	�	�	NOUN
iajs-2291	50	108	̅	̅	NOUN
iajs-2291	50	109	�	�	PROPN
iajs-2291	50	110	𝜆	𝜆	ADP
iajs-2291	50	111	,	,	PUNCT
iajs-2291	50	112	𝜂	𝜂	NOUN
iajs-2291	50	113	=	=	SYM
iajs-2291	50	114	�	�	PROPN
iajs-2291	50	115	̅	̅	NOUN
iajs-2291	50	116	�	�	PROPN
iajs-2291	50	117	𝑎	𝑎	X
iajs-2291	50	118	,	,	PUNCT
iajs-2291	50	119	𝑢	𝑢	X
iajs-2291	50	120	=	=	X
iajs-2291	50	121	𝑢	𝑢	PROPN
iajs-2291	50	122	𝑐	𝑐	NOUN
iajs-2291	50	123	,	,	PUNCT
iajs-2291	50	124	𝑣	𝑣	X
iajs-2291	50	125	=	=	SYM
iajs-2291	50	126	�	�	PROPN
iajs-2291	50	127	̅	̅	NOUN
iajs-2291	50	128	�	�	PROPN
iajs-2291	50	129	𝑐	𝑐	PROPN
iajs-2291	50	130	,	,	PUNCT
iajs-2291	50	131	𝑝	𝑝	NOUN
iajs-2291	50	132	=	=	PRON
iajs-2291	50	133	2𝜋𝑎2	2𝜋𝑎2	NUM
iajs-2291	50	134	𝜆𝜇𝑐	𝜆𝜇𝑐	NOUN
iajs-2291	50	135	�	�	PROPN
iajs-2291	50	136	̅	̅	NOUN
iajs-2291	50	137	�	�	NOUN
iajs-2291	50	138	,	,	PUNCT
iajs-2291	50	139	ℎ	ℎ	PROPN
iajs-2291	50	140	=	=	SYM
iajs-2291	50	141	�	�	PROPN
iajs-2291	50	142	̅	̅	NOUN
iajs-2291	50	143	�	�	PROPN
iajs-2291	50	144	𝑎	𝑎	NOUN
iajs-2291	50	145	,	,	PUNCT
iajs-2291	50	146	𝜏	𝜏	NOUN
iajs-2291	50	147	=	=	SYM
iajs-2291	50	148	𝑎	𝑎	NOUN
iajs-2291	50	149	�	�	NOUN
iajs-2291	50	150	̅	̅	NOUN
iajs-2291	50	151	�	�	PROPN
iajs-2291	50	152	𝜇𝑐	𝜇𝑐	NOUN
iajs-2291	50	153	,	,	PUNCT
iajs-2291	50	154	𝑅𝑒	𝑅𝑒	PROPN
iajs-2291	50	155	=	=	NOUN
iajs-2291	50	156	𝜌𝑐𝑎	𝜌𝑐𝑎	VERB
iajs-2291	50	157	𝜇	𝜇	ADP
iajs-2291	50	158	,	,	PUNCT
iajs-2291	50	159	𝛿	𝛿	ADJ
iajs-2291	50	160	=	=	PROPN
iajs-2291	50	161	2𝜋𝑎	2𝜋𝑎	NOUN
iajs-2291	50	162	𝜆	𝜆	NOUN
iajs-2291	50	163	,	,	PUNCT
iajs-2291	50	164	𝑘	𝑘	X
iajs-2291	50	165	=	=	SYM
iajs-2291	50	166	𝑅∗	𝑅∗	NUM
iajs-2291	50	167	𝑎	𝑎	NOUN
iajs-2291	50	168	,	,	PUNCT
iajs-2291	50	169	𝜑	𝜑	NOUN
iajs-2291	50	170	=	=	PUNCT
iajs-2291	50	171	𝑏	𝑏	PROPN
iajs-2291	50	172	𝑎	𝑎	PROPN
iajs-2291	50	173	,	,	PUNCT
iajs-2291	50	174	�	�	NOUN
iajs-2291	50	175	̇	̇	NOUN
iajs-2291	50	176	�	�	PROPN
iajs-2291	50	177	=	=	PUNCT
iajs-2291	50	178	𝜌𝑎2	𝜌𝑎2	PROPN
iajs-2291	50	179	𝜇0	𝜇0	PROPN
iajs-2291	50	180	�	�	PROPN
iajs-2291	50	181	̅̇	̅̇	PROPN
iajs-2291	50	182	�	�	PROPN
iajs-2291	50	183	(	(	PUNCT
iajs-2291	50	184	8)	8)	NUM
iajs-2291	50	185	in	in	ADP
iajs-2291	50	186	which	which	PRON
iajs-2291	50	187	(	(	PUNCT
iajs-2291	50	188	𝑢	𝑢	X
iajs-2291	50	189	,	,	PUNCT
iajs-2291	50	190	𝑣	𝑣	NOUN
iajs-2291	50	191	)	)	PUNCT
iajs-2291	50	192	are	be	AUX
iajs-2291	50	193	the	the	DET
iajs-2291	50	194	nondimensional	nondimensional	ADJ
iajs-2291	50	195	velocity	velocity	NOUN
iajs-2291	50	196	components	component	NOUN
iajs-2291	50	197	,	,	PUNCT
iajs-2291	50	198	𝑝	𝑝	PROPN
iajs-2291	50	199	is	be	AUX
iajs-2291	50	200	the	the	DET
iajs-2291	50	201	nondimensional	nondimensional	ADJ
iajs-2291	50	202	pressure	pressure	NOUN
iajs-2291	50	203	,	,	PUNCT
iajs-2291	50	204	𝜏	𝜏	NOUN
iajs-2291	50	205	is	be	AUX
iajs-2291	50	206	the	the	DET
iajs-2291	50	207	nondimensional	nondimensional	ADJ
iajs-2291	50	208	stress	stress	NOUN
iajs-2291	50	209	tensor	tensor	NOUN
iajs-2291	50	210	,	,	PUNCT
iajs-2291	50	211	𝑅𝑒	𝑅𝑒	PROPN
iajs-2291	50	212	is	be	AUX
iajs-2291	50	213	the	the	DET
iajs-2291	50	214	ronald	ronald	PROPN
iajs-2291	50	215	’s	’s	PART
iajs-2291	50	216	number	number	NOUN
iajs-2291	50	217	,	,	PUNCT
iajs-2291	50	218	𝛿	𝛿	PRON
iajs-2291	50	219	is	be	AUX
iajs-2291	50	220	the	the	DET
iajs-2291	50	221	wave	wave	NOUN
iajs-2291	50	222	length	length	NOUN
iajs-2291	50	223	ratio	ratio	NOUN
iajs-2291	50	224	(	(	PUNCT
iajs-2291	50	225	wave	wave	NOUN
iajs-2291	50	226	number	number	NOUN
iajs-2291	50	227	)	)	PUNCT
iajs-2291	50	228	,	,	PUNCT
iajs-2291	50	229	𝑘	𝑘	PROPN
iajs-2291	50	230	is	be	AUX
iajs-2291	50	231	the	the	DET
iajs-2291	50	232	curvature	curvature	NOUN
iajs-2291	50	233	parameter	parameter	NOUN
iajs-2291	50	234	and	and	CCONJ
iajs-2291	50	235	𝜑	𝜑	PROPN
iajs-2291	50	236	is	be	AUX
iajs-2291	50	237	the	the	DET
iajs-2291	50	238	amplitude	amplitude	NOUN
iajs-2291	50	239	ratio	ratio	NOUN
iajs-2291	50	240	.	.	PUNCT
iajs-2291	51	1	making	make	VERB
iajs-2291	51	2	use	use	NOUN
iajs-2291	51	3	of	of	ADP
iajs-2291	51	4	the	the	DET
iajs-2291	51	5	equation	equation	NOUN
iajs-2291	51	6	(	(	PUNCT
iajs-2291	51	7	7	7	NUM
iajs-2291	51	8	)	)	PUNCT
iajs-2291	51	9	and	and	CCONJ
iajs-2291	51	10	the	the	DET
iajs-2291	51	11	above	above	ADJ
iajs-2291	51	12	dimensionless	dimensionless	NOUN
iajs-2291	51	13	quantities	quantity	NOUN
iajs-2291	51	14	,	,	PUNCT
iajs-2291	51	15	the	the	DET
iajs-2291	51	16	continuity	continuity	NOUN
iajs-2291	51	17	and	and	CCONJ
iajs-2291	51	18	the	the	DET
iajs-2291	51	19	motion	motion	NOUN
iajs-2291	51	20	equations	equation	NOUN
iajs-2291	51	21	will	will	AUX
iajs-2291	51	22	be	be	AUX
iajs-2291	51	23	reduced	reduce	VERB
iajs-2291	51	24	as	as	SCONJ
iajs-2291	51	25	follows	follow	VERB
iajs-2291	51	26	:	:	PUNCT
iajs-2291	51	27	(	(	PUNCT
iajs-2291	51	28	𝑘	𝑘	X
iajs-2291	51	29	+	+	NOUN
iajs-2291	51	30	𝜂	𝜂	NOUN
iajs-2291	51	31	)	)	PUNCT
iajs-2291	51	32	𝜕𝑣	𝜕𝑣	NOUN
iajs-2291	51	33	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	52	1	+	+	CCONJ
iajs-2291	52	2	𝑘𝛿	𝑘𝛿	ADP
iajs-2291	52	3	𝜕𝑢	𝜕𝑢	NOUN
iajs-2291	52	4	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	53	1	+	+	CCONJ
iajs-2291	53	2	𝑣	𝑣	X
iajs-2291	53	3	=	=	SYM
iajs-2291	53	4	0	0	NUM
iajs-2291	53	5	(	(	PUNCT
iajs-2291	53	6	9	9	NUM
iajs-2291	53	7	)	)	PUNCT
iajs-2291	53	8	−𝛿2𝑅𝑒	−𝛿2𝑅𝑒	NOUN
iajs-2291	53	9	𝜕𝑣	𝜕𝑣	NOUN
iajs-2291	53	10	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	54	1	+	+	CCONJ
iajs-2291	55	1	𝑅𝑒	𝑅𝑒	VERB
iajs-2291	55	2	𝛿𝑣	𝛿𝑣	NUM
iajs-2291	55	3	𝜕𝑣	𝜕𝑣	NOUN
iajs-2291	55	4	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	55	5	+	+	CCONJ
iajs-2291	55	6	𝑅𝑒	𝑅𝑒	VERB
iajs-2291	55	7	𝛿	𝛿	ADJ
iajs-2291	55	8	𝑘(𝑢+1	𝑘(𝑢+1	NUM
iajs-2291	55	9	)	)	PUNCT
iajs-2291	55	10	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	55	11	𝜕𝑣	𝜕𝑣	NOUN
iajs-2291	55	12	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	55	13	−	−	PUNCT
iajs-2291	56	1	𝑅𝑒	𝑅𝑒	VERB
iajs-2291	56	2	𝛿	𝛿	PROPN
iajs-2291	56	3	(	(	PUNCT
iajs-2291	56	4	𝑢+1)2	𝑢+1)2	PROPN
iajs-2291	56	5	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	56	6	=	=	SYM
iajs-2291	56	7	−	−	PROPN
iajs-2291	56	8	𝜕𝑝	𝜕𝑝	NOUN
iajs-2291	56	9	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	56	10	+	+	CCONJ
iajs-2291	56	11	𝛿	𝛿	ADJ
iajs-2291	56	12	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	56	13	𝜕	𝜕	PROPN
iajs-2291	56	14	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	56	15	[	[	X
iajs-2291	56	16	(	(	PUNCT
iajs-2291	56	17	𝑘	𝑘	X
iajs-2291	56	18	+	+	X
iajs-2291	56	19	𝜂)𝜏𝜂𝜂	𝜂)𝜏𝜂𝜂	PUNCT
iajs-2291	56	20	]	]	PUNCT
iajs-2291	57	1	+	+	CCONJ
iajs-2291	57	2	𝛿2	𝛿2	NOUN
iajs-2291	57	3	(	(	PUNCT
iajs-2291	57	4	𝑘	𝑘	PROPN
iajs-2291	57	5	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	57	6	)	)	PUNCT
iajs-2291	57	7	𝜕𝜏𝜂𝑥	𝜕𝜏𝜂𝑥	NOUN
iajs-2291	57	8	𝜕𝑥	𝜕𝑥	X
iajs-2291	57	9	−	−	ADP
iajs-2291	57	10	𝛿	𝛿	DET
iajs-2291	57	11	𝜏𝑥𝑥	𝜏𝑥𝑥	ADJ
iajs-2291	57	12	𝑎𝑘+𝑎𝜂	𝑎𝑘+𝑎𝜂	NUM
iajs-2291	57	13	(	(	PUNCT
iajs-2291	57	14	10	10	NUM
iajs-2291	57	15	)	)	PUNCT
iajs-2291	57	16	−𝑅𝑒	−𝑅𝑒	NOUN
iajs-2291	57	17	𝛿	𝛿	ADJ
iajs-2291	57	18	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	57	19	𝑘	𝑘	X
iajs-2291	57	20	𝜕𝑢	𝜕𝑢	NOUN
iajs-2291	57	21	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	57	22	+	+	CCONJ
iajs-2291	57	23	𝑅𝑒	𝑅𝑒	VERB
iajs-2291	57	24	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	57	25	𝑘	𝑘	PRON
iajs-2291	57	26	𝑣	𝑣	ADP
iajs-2291	57	27	𝜕𝑢	𝜕𝑢	NOUN
iajs-2291	57	28	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	57	29	+	+	CCONJ
iajs-2291	57	30	𝑅𝑒	𝑅𝑒	VERB
iajs-2291	57	31	𝛿	𝛿	ADJ
iajs-2291	57	32	(	(	PUNCT
iajs-2291	57	33	𝑢	𝑢	NOUN
iajs-2291	57	34	+	+	NOUN
iajs-2291	57	35	1	1	NUM
iajs-2291	57	36	)	)	PUNCT
iajs-2291	57	37	𝜕𝑢	𝜕𝑢	NOUN
iajs-2291	57	38	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	57	39	+	+	CCONJ
iajs-2291	58	1	𝑅𝑒	𝑅𝑒	PROPN
iajs-2291	58	2	(	(	PUNCT
iajs-2291	58	3	𝑢+1)𝑣	𝑢+1)𝑣	PROPN
iajs-2291	58	4	𝑘	𝑘	NOUN
iajs-2291	58	5	=	=	SYM
iajs-2291	58	6	−	−	PROPN
iajs-2291	58	7	𝜕𝑝	𝜕𝑝	NOUN
iajs-2291	58	8	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	59	1	+	+	CCONJ
iajs-2291	59	2	1	1	NUM
iajs-2291	59	3	𝑘	𝑘	DET
iajs-2291	59	4	1	1	NUM
iajs-2291	59	5	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	59	6	𝜕	𝜕	PROPN
iajs-2291	59	7	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	59	8	[	[	X
iajs-2291	59	9	(	(	PUNCT
iajs-2291	59	10	𝑘	𝑘	X
iajs-2291	59	11	+	+	NOUN
iajs-2291	59	12	𝜂)2𝜏𝜂𝑥	𝜂)2𝜏𝜂𝑥	NOUN
iajs-2291	59	13	]	]	PUNCT
iajs-2291	59	14	+	+	CCONJ
iajs-2291	59	15	𝛿	𝛿	DET
iajs-2291	59	16	𝜕𝜏𝑥𝑥	𝜕𝜏𝑥𝑥	NOUN
iajs-2291	59	17	𝜕𝑥	𝜕𝑥	X
iajs-2291	59	18	(	(	PUNCT
iajs-2291	59	19	11	11	NUM
iajs-2291	59	20	)	)	PUNCT
iajs-2291	59	21	the	the	DET
iajs-2291	59	22	boundary	boundary	ADJ
iajs-2291	59	23	conditions	condition	NOUN
iajs-2291	59	24	in	in	ADP
iajs-2291	59	25	non	non	ADJ
iajs-2291	59	26	-	-	ADJ
iajs-2291	59	27	dimensional	dimensional	ADJ
iajs-2291	59	28	parameters	parameter	NOUN
iajs-2291	59	29	,	,	PUNCT
iajs-2291	59	30	𝑢	𝑢	X
iajs-2291	59	31	+	+	NOUN
iajs-2291	59	32	1	1	NUM
iajs-2291	59	33	=	=	SYM
iajs-2291	59	34	0	0	NUM
iajs-2291	59	35	,	,	PUNCT
iajs-2291	59	36	∓[ℎ	∓[ℎ	NUM
iajs-2291	59	37	]	]	X
iajs-2291	59	38	=	=	PUNCT
iajs-2291	60	1	∓[1	∓[1	X
iajs-2291	61	1	+	+	CCONJ
iajs-2291	61	2	𝜑	𝜑	PROPN
iajs-2291	61	3	sin	sin	NOUN
iajs-2291	61	4	𝑥	𝑥	X
iajs-2291	61	5	]	]	X
iajs-2291	61	6	(	(	PUNCT
iajs-2291	61	7	12	12	NUM
iajs-2291	61	8	)	)	PUNCT
iajs-2291	61	9	and	and	CCONJ
iajs-2291	61	10	the	the	DET
iajs-2291	61	11	stream	stream	NOUN
iajs-2291	61	12	function	function	NOUN
iajs-2291	61	13	[	[	X
iajs-2291	61	14	11	11	NUM
iajs-2291	61	15	]	]	PUNCT
iajs-2291	61	16	.	.	PUNCT
iajs-2291	62	1	𝑢	𝑢	PROPN
iajs-2291	62	2	=	=	SYM
iajs-2291	62	3	−	−	PROPN
iajs-2291	62	4	𝜕𝜓	𝜕𝜓	NOUN
iajs-2291	62	5	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	62	6	,	,	PUNCT
iajs-2291	62	7	𝑣	𝑣	X
iajs-2291	62	8	=	=	VERB
iajs-2291	62	9	𝛿	𝛿	PROPN
iajs-2291	62	10	𝑘	𝑘	PROPN
iajs-2291	62	11	𝜂+𝑘	𝜂+𝑘	NUM
iajs-2291	62	12	𝜕𝜓	𝜕𝜓	NOUN
iajs-2291	62	13	𝜕𝑥	𝜕𝑥	X
iajs-2291	62	14	(	(	PUNCT
iajs-2291	62	15	13	13	NUM
iajs-2291	62	16	)	)	PUNCT
iajs-2291	62	17	applying	apply	VERB
iajs-2291	62	18	equation	equation	NOUN
iajs-2291	62	19	(	(	PUNCT
iajs-2291	62	20	13	13	NUM
iajs-2291	62	21	)	)	PUNCT
iajs-2291	62	22	on	on	ADP
iajs-2291	62	23	the	the	DET
iajs-2291	62	24	equation	equation	NOUN
iajs-2291	62	25	(	(	PUNCT
iajs-2291	62	26	12).the	12).the	DET
iajs-2291	62	27	boundary	boundary	ADJ
iajs-2291	62	28	conditions	condition	NOUN
iajs-2291	62	29	becomes	become	VERB
iajs-2291	62	30	ibn	ibn	PROPN
iajs-2291	62	31	al	al	PROPN
iajs-2291	62	32	-	-	PUNCT
iajs-2291	62	33	haitham	haitham	PROPN
iajs-2291	62	34	jour	jour	X
iajs-2291	62	35	.	.	PROPN
iajs-2291	63	1	for	for	ADP
iajs-2291	63	2	pure	pure	ADJ
iajs-2291	63	3	&	&	CCONJ
iajs-2291	63	4	appl	appl	PROPN
iajs-2291	63	5	.	.	PUNCT
iajs-2291	64	1	sci	sci	PROPN
iajs-2291	64	2	.	.	PROPN
iajs-2291	64	3	32	32	NUM
iajs-2291	64	4	(	(	PUNCT
iajs-2291	64	5	3	3	NUM
iajs-2291	64	6	)	)	PUNCT
iajs-2291	64	7	2019	2019	NUM
iajs-2291	64	8	143	143	NUM
iajs-2291	64	9	𝜕𝜓	𝜕𝜓	NOUN
iajs-2291	64	10	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	64	11	=	=	SYM
iajs-2291	64	12	1	1	NUM
iajs-2291	64	13	,	,	PUNCT
iajs-2291	64	14	∓[ℎ	∓[ℎ	NUM
iajs-2291	64	15	]	]	X
iajs-2291	64	16	=	=	PUNCT
iajs-2291	65	1	∓[1	∓[1	X
iajs-2291	66	1	+	+	CCONJ
iajs-2291	66	2	𝜑	𝜑	PROPN
iajs-2291	66	3	sin	sin	NOUN
iajs-2291	66	4	𝑥	𝑥	X
iajs-2291	66	5	]	]	X
iajs-2291	66	6	(	(	PUNCT
iajs-2291	66	7	14	14	NUM
iajs-2291	66	8	)	)	PUNCT
iajs-2291	66	9	the	the	DET
iajs-2291	66	10	general	general	ADJ
iajs-2291	66	11	solution	solution	NOUN
iajs-2291	66	12	of	of	ADP
iajs-2291	66	13	the	the	DET
iajs-2291	66	14	governing	govern	VERB
iajs-2291	66	15	equations	equation	NOUN
iajs-2291	66	16	seems	seem	VERB
iajs-2291	66	17	to	to	PART
iajs-2291	66	18	be	be	AUX
iajs-2291	66	19	hard	hard	ADJ
iajs-2291	66	20	in	in	ADP
iajs-2291	66	21	most	most	ADJ
iajs-2291	66	22	cases	case	NOUN
iajs-2291	66	23	,	,	PUNCT
iajs-2291	66	24	therefore	therefore	ADV
iajs-2291	66	25	the	the	DET
iajs-2291	66	26	solution	solution	NOUN
iajs-2291	66	27	can	can	AUX
iajs-2291	66	28	be	be	AUX
iajs-2291	66	29	found	find	VERB
iajs-2291	66	30	under	under	ADP
iajs-2291	66	31	the	the	DET
iajs-2291	66	32	assumption	assumption	NOUN
iajs-2291	66	33	of	of	ADP
iajs-2291	66	34	small	small	ADJ
iajs-2291	66	35	wave	wave	NOUN
iajs-2291	66	36	number	number	NOUN
iajs-2291	66	37	𝛿	𝛿	NOUN
iajs-2291	66	38	≪	≪	ADJ
iajs-2291	66	39	1	1	NUM
iajs-2291	66	40	and	and	CCONJ
iajs-2291	66	41	low	low	ADJ
iajs-2291	66	42	reynolds	reynold	NOUN
iajs-2291	66	43	number	number	NOUN
iajs-2291	66	44	approximation	approximation	NOUN
iajs-2291	66	45	,	,	PUNCT
iajs-2291	66	46	thus	thus	ADV
iajs-2291	66	47	the	the	DET
iajs-2291	66	48	equations	equation	NOUN
iajs-2291	66	49	(	(	PUNCT
iajs-2291	66	50	10	10	NUM
iajs-2291	66	51	)	)	PUNCT
iajs-2291	66	52	and	and	CCONJ
iajs-2291	66	53	(	(	PUNCT
iajs-2291	66	54	11	11	NUM
iajs-2291	66	55	)	)	PUNCT
iajs-2291	66	56	can	can	AUX
iajs-2291	66	57	be	be	AUX
iajs-2291	66	58	written	write	VERB
iajs-2291	66	59	as	as	SCONJ
iajs-2291	66	60	follows	follow	VERB
iajs-2291	66	61	:	:	PUNCT
iajs-2291	66	62	𝜕𝑝	𝜕𝑝	NOUN
iajs-2291	66	63	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	67	1	=	=	SYM
iajs-2291	67	2	0	0	NUM
iajs-2291	67	3	(	(	PUNCT
iajs-2291	67	4	15	15	NUM
iajs-2291	67	5	)	)	PUNCT
iajs-2291	67	6	𝜕𝑝	𝜕𝑝	NOUN
iajs-2291	67	7	𝜕𝑥	𝜕𝑥	NOUN
iajs-2291	67	8	=	=	NOUN
iajs-2291	67	9	1	1	NUM
iajs-2291	67	10	𝑘	𝑘	DET
iajs-2291	67	11	1	1	NUM
iajs-2291	67	12	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	67	13	𝜕	𝜕	PROPN
iajs-2291	67	14	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	68	1	[	[	X
iajs-2291	68	2	(	(	PUNCT
iajs-2291	68	3	𝑘	𝑘	X
iajs-2291	68	4	+	+	NOUN
iajs-2291	68	5	𝜂)2𝜏𝜂𝑥	𝜂)2𝜏𝜂𝑥	NOUN
iajs-2291	68	6	]	]	PUNCT
iajs-2291	68	7	(	(	PUNCT
iajs-2291	68	8	16	16	NUM
iajs-2291	68	9	)	)	PUNCT
iajs-2291	68	10	deriving	derive	VERB
iajs-2291	68	11	equation	equation	NOUN
iajs-2291	68	12	with	with	ADP
iajs-2291	68	13	respect	respect	NOUN
iajs-2291	68	14	to	to	ADP
iajs-2291	68	15	𝜂	𝜂	NOUN
iajs-2291	68	16	,	,	PUNCT
iajs-2291	68	17	one	one	PRON
iajs-2291	68	18	obtain	obtain	VERB
iajs-2291	68	19	:	:	PUNCT
iajs-2291	68	20	𝜕	𝜕	NOUN
iajs-2291	68	21	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	68	22	[	[	PUNCT
iajs-2291	68	23	1	1	NUM
iajs-2291	68	24	𝑘	𝑘	DET
iajs-2291	68	25	1	1	NUM
iajs-2291	68	26	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	68	27	𝜕	𝜕	PROPN
iajs-2291	68	28	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	69	1	[	[	X
iajs-2291	69	2	(	(	PUNCT
iajs-2291	69	3	𝑘	𝑘	X
iajs-2291	69	4	+	+	X
iajs-2291	69	5	𝜂)2𝜏𝜂𝑥	𝜂)2𝜏𝜂𝑥	NOUN
iajs-2291	69	6	]	]	X
iajs-2291	69	7	]	]	X
iajs-2291	69	8	=	=	SYM
iajs-2291	69	9	0	0	NUM
iajs-2291	69	10	(	(	PUNCT
iajs-2291	69	11	17	17	NUM
iajs-2291	69	12	)	)	PUNCT
iajs-2291	69	13	noticing	notice	VERB
iajs-2291	69	14	that	that	SCONJ
iajs-2291	69	15	the	the	DET
iajs-2291	69	16	cauchy	cauchy	PROPN
iajs-2291	69	17	stress	stress	NOUN
iajs-2291	69	18	tensor	tensor	NOUN
iajs-2291	69	19	𝜎∗	𝜎∗	PROPN
iajs-2291	69	20	can	can	AUX
iajs-2291	69	21	be	be	AUX
iajs-2291	69	22	decomposed	decompose	VERB
iajs-2291	69	23	as	as	SCONJ
iajs-2291	69	24	follows	follow	VERB
iajs-2291	69	25	:	:	PUNCT
iajs-2291	69	26	𝜎∗	𝜎∗	PROPN
iajs-2291	69	27	=	=	PUNCT
iajs-2291	69	28	−	−	NUM
iajs-2291	69	29	�	�	NOUN
iajs-2291	69	30	̅	̅	NOUN
iajs-2291	69	31	�	�	NOUN
iajs-2291	69	32	𝐼	𝐼	ADP
iajs-2291	69	33	+	+	X
iajs-2291	69	34	𝜏̅	𝜏̅	PROPN
iajs-2291	69	35	where	where	SCONJ
iajs-2291	69	36	𝜏̅	𝜏̅	PROPN
iajs-2291	69	37	is	be	AUX
iajs-2291	69	38	the	the	DET
iajs-2291	69	39	extra	extra	ADJ
iajs-2291	69	40	stress	stress	NOUN
iajs-2291	69	41	tensor	tensor	NOUN
iajs-2291	69	42	and	and	CCONJ
iajs-2291	69	43	�	�	PROPN
iajs-2291	69	44	̅	̅	NOUN
iajs-2291	69	45	�	�	NOUN
iajs-2291	69	46	is	be	AUX
iajs-2291	69	47	the	the	DET
iajs-2291	69	48	mechanical	mechanical	ADJ
iajs-2291	69	49	pressure	pressure	NOUN
iajs-2291	69	50	.	.	PUNCT
iajs-2291	70	1	the	the	DET
iajs-2291	70	2	bingham	bingham	PROPN
iajs-2291	70	3	stresses	stress	VERB
iajs-2291	70	4	𝜏	𝜏	NOUN
iajs-2291	70	5	�	�	NOUN
iajs-2291	70	6	̅	̅	NOUN
iajs-2291	70	7	�	�	NOUN
iajs-2291	70	8	𝑗	𝑗	NOUN
iajs-2291	70	9	are	be	AUX
iajs-2291	70	10	related	relate	VERB
iajs-2291	70	11	to	to	ADP
iajs-2291	70	12	the	the	DET
iajs-2291	70	13	strain	strain	NOUN
iajs-2291	70	14	rates	rate	NOUN
iajs-2291	70	15	�	�	NOUN
iajs-2291	70	16	̅	̅	NOUN
iajs-2291	70	17	�	�	NOUN
iajs-2291	70	18	1through	1through	NUM
iajs-2291	70	19	the	the	DET
iajs-2291	70	20	constitutive	constitutive	ADJ
iajs-2291	70	21	equation	equation	NOUN
iajs-2291	70	22	:	:	PUNCT
iajs-2291	70	23	𝜏	𝜏	X
iajs-2291	70	24	�	�	NOUN
iajs-2291	70	25	̅	̅	NOUN
iajs-2291	70	26	�	�	NOUN
iajs-2291	70	27	𝑗	𝑗	NOUN
iajs-2291	70	28	=	=	PUNCT
iajs-2291	70	29	(	(	PUNCT
iajs-2291	70	30	2𝜇0	2𝜇0	NUM
iajs-2291	70	31	+	+	NUM
iajs-2291	70	32	𝜏𝑦	𝜏𝑦	PROPN
iajs-2291	70	33	�	�	PROPN
iajs-2291	70	34	̅̇	̅̇	PROPN
iajs-2291	70	35	�	�	PROPN
iajs-2291	70	36	)	)	PUNCT
iajs-2291	70	37	�	�	PROPN
iajs-2291	70	38	̅	̅	NOUN
iajs-2291	70	39	�	�	NOUN
iajs-2291	70	40	1	1	NUM
iajs-2291	70	41	for	for	ADP
iajs-2291	70	42	𝜏	𝜏	PRON
iajs-2291	70	43	≥	≥	NUM
iajs-2291	70	44	𝜏𝑦	𝜏𝑦	PROPN
iajs-2291	70	45	𝜏	𝜏	NUM
iajs-2291	70	46	�	�	NOUN
iajs-2291	70	47	̅	̅	NOUN
iajs-2291	70	48	�	�	NOUN
iajs-2291	70	49	𝑗	𝑗	NOUN
iajs-2291	70	50	=	=	NOUN
iajs-2291	70	51	0	0	NUM
iajs-2291	70	52	for	for	ADP
iajs-2291	70	53	𝜏	𝜏	X
iajs-2291	70	54	<	<	X
iajs-2291	70	55	𝜏𝑦.	𝜏𝑦.	X
iajs-2291	70	56	where	where	SCONJ
iajs-2291	70	57	𝜏𝑦	𝜏𝑦	PRON
iajs-2291	70	58	is	be	AUX
iajs-2291	70	59	the	the	DET
iajs-2291	70	60	yield	yield	NOUN
iajs-2291	70	61	stress	stress	NOUN
iajs-2291	70	62	,	,	PUNCT
iajs-2291	70	63	𝜇0is	𝜇0is	PUNCT
iajs-2291	70	64	the	the	DET
iajs-2291	70	65	bingham	bingham	PROPN
iajs-2291	70	66	fluid	fluid	NOUN
iajs-2291	70	67	viscosity	viscosity	NOUN
iajs-2291	70	68	,	,	PUNCT
iajs-2291	70	69	�	�	PROPN
iajs-2291	70	70	̅̇	̅̇	NOUN
iajs-2291	70	71	�	�	NOUN
iajs-2291	70	72	=	=	PUNCT
iajs-2291	70	73	(	(	PUNCT
iajs-2291	70	74	1	1	NUM
iajs-2291	70	75	2	2	NUM
iajs-2291	70	76	𝑡𝑟𝑎𝑐	𝑡𝑟𝑎𝑐	PROPN
iajs-2291	70	77	�	�	NOUN
iajs-2291	70	78	̅	̅	NOUN
iajs-2291	70	79	�	�	NOUN
iajs-2291	70	80	1	1	NUM
iajs-2291	70	81	2	2	NUM
iajs-2291	70	82	)	)	PUNCT
iajs-2291	70	83	1	1	NUM
iajs-2291	70	84	2	2	NUM
iajs-2291	70	85	,	,	PUNCT
iajs-2291	70	86	and	and	CCONJ
iajs-2291	70	87	the	the	DET
iajs-2291	70	88	final	final	ADJ
iajs-2291	70	89	𝜏𝜂𝑥	𝜏𝜂𝑥	NOUN
iajs-2291	70	90	=	=	SYM
iajs-2291	70	91	2	2	NUM
iajs-2291	70	92	(	(	PUNCT
iajs-2291	70	93	−	−	PROPN
iajs-2291	70	94	𝜕2𝜓	𝜕2𝜓	NOUN
iajs-2291	70	95	𝜕𝜂2	𝜕𝜂2	VERB
iajs-2291	70	96	−	−	SYM
iajs-2291	70	97	1	1	NUM
iajs-2291	70	98	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	70	99	(	(	PUNCT
iajs-2291	70	100	1	1	NUM
iajs-2291	70	101	−	−	PROPN
iajs-2291	70	102	𝜕𝜓	𝜕𝜓	NOUN
iajs-2291	70	103	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	70	104	)	)	PUNCT
iajs-2291	70	105	)	)	PUNCT
iajs-2291	71	1	+	+	CCONJ
iajs-2291	72	1	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	72	2	(	(	PUNCT
iajs-2291	72	3	18	18	NUM
iajs-2291	72	4	)	)	PUNCT
iajs-2291	72	5	where	where	SCONJ
iajs-2291	72	6	𝜌𝑎2𝜏𝑦	𝜌𝑎2𝜏𝑦	ADP
iajs-2291	72	7	𝜇0	𝜇0	PROPN
iajs-2291	72	8	2𝑅𝑒	2𝑅𝑒	PROPN
iajs-2291	72	9	=	=	SYM
iajs-2291	72	10	𝑎	𝑎	X
iajs-2291	72	11	𝜏𝑦	𝜏𝑦	X
iajs-2291	72	12	𝜇0𝑐	𝜇0𝑐	PROPN
iajs-2291	72	13	=	=	SYM
iajs-2291	72	14	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	72	15	the	the	DET
iajs-2291	72	16	bingham	bingham	PROPN
iajs-2291	72	17	number	number	NOUN
iajs-2291	72	18	.	.	PUNCT
iajs-2291	73	1	substituting	substitute	VERB
iajs-2291	73	2	the	the	DET
iajs-2291	73	3	above	above	ADJ
iajs-2291	73	4	equation	equation	NOUN
iajs-2291	73	5	(	(	PUNCT
iajs-2291	73	6	18	18	NUM
iajs-2291	73	7	)	)	PUNCT
iajs-2291	73	8	into	into	ADP
iajs-2291	73	9	equation	equation	NOUN
iajs-2291	73	10	(	(	PUNCT
iajs-2291	73	11	17	17	NUM
iajs-2291	73	12	)	)	PUNCT
iajs-2291	73	13	one	one	NOUN
iajs-2291	73	14	obtain	obtain	VERB
iajs-2291	73	15	:	:	PUNCT
iajs-2291	73	16	𝜕4𝜓	𝜕4𝜓	NUM
iajs-2291	73	17	𝜕𝜂4	𝜕𝜂4	NOUN
iajs-2291	73	18	+	+	CCONJ
iajs-2291	73	19	2	2	NUM
iajs-2291	73	20	(	(	PUNCT
iajs-2291	73	21	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	73	22	)	)	PUNCT
iajs-2291	73	23	𝜕3𝜓	𝜕3𝜓	VERB
iajs-2291	73	24	𝜕𝜂3	𝜕𝜂3	NOUN
iajs-2291	73	25	−	−	NOUN
iajs-2291	73	26	1	1	NUM
iajs-2291	73	27	(	(	PUNCT
iajs-2291	73	28	𝑘+𝜂)2	𝑘+𝜂)2	ADJ
iajs-2291	73	29	𝜕2𝜓	𝜕2𝜓	NOUN
iajs-2291	73	30	𝜕𝜂2	𝜕𝜂2	ADJ
iajs-2291	73	31	+	+	CCONJ
iajs-2291	73	32	(	(	PUNCT
iajs-2291	73	33	𝜕𝜓	𝜕𝜓	NOUN
iajs-2291	73	34	𝜕𝜂	𝜕𝜂	ADJ
iajs-2291	73	35	−	−	NOUN
iajs-2291	73	36	1	1	NUM
iajs-2291	73	37	)	)	PUNCT
iajs-2291	73	38	1	1	NUM
iajs-2291	73	39	(	(	PUNCT
iajs-2291	73	40	𝑘+𝜂)3	𝑘+𝜂)3	NOUN
iajs-2291	73	41	=	=	SYM
iajs-2291	73	42	0	0	NUM
iajs-2291	73	43	(	(	PUNCT
iajs-2291	73	44	19	19	NUM
iajs-2291	73	45	)	)	PUNCT
iajs-2291	73	46	noticing	notice	VERB
iajs-2291	73	47	that	that	SCONJ
iajs-2291	73	48	the	the	DET
iajs-2291	73	49	dimensionless	dimensionless	NOUN
iajs-2291	73	50	mean	mean	NOUN
iajs-2291	73	51	flows	flow	VERB
iajs-2291	73	52	θ	θ	PROPN
iajs-2291	73	53	in	in	ADP
iajs-2291	73	54	the	the	DET
iajs-2291	73	55	fixed	fix	VERB
iajs-2291	73	56	frame	frame	NOUN
iajs-2291	73	57	and	and	CCONJ
iajs-2291	73	58	f	f	PROPN
iajs-2291	73	59	in	in	ADP
iajs-2291	73	60	the	the	DET
iajs-2291	73	61	wave	wave	NOUN
iajs-2291	73	62	frame	frame	NOUN
iajs-2291	73	63	as	as	ADP
iajs-2291	73	64	:	:	PUNCT
iajs-2291	73	65	θ	θ	X
iajs-2291	73	66	=	=	PUNCT
iajs-2291	73	67	𝑄∗	𝑄∗	X
iajs-2291	74	1	𝑎𝑐	𝑎𝑐	INTJ
iajs-2291	74	2	,	,	PUNCT
iajs-2291	74	3	𝐹	𝐹	PROPN
iajs-2291	74	4	=	=	PUNCT
iajs-2291	74	5	𝑞	𝑞	X
iajs-2291	74	6	𝑎𝑐	𝑎𝑐	PRON
iajs-2291	74	7	one	one	NUM
iajs-2291	74	8	get	get	VERB
iajs-2291	74	9	:	:	PUNCT
iajs-2291	75	1	θ	θ	X
iajs-2291	75	2	=	=	PUNCT
iajs-2291	75	3	f	f	PROPN
iajs-2291	75	4	+	+	CCONJ
iajs-2291	75	5	2	2	NUM
iajs-2291	75	6	in	in	ADP
iajs-2291	75	7	which	which	PRON
iajs-2291	75	8	:	:	PUNCT
iajs-2291	75	9	𝐹	𝐹	PROPN
iajs-2291	75	10	=	=	PUNCT
iajs-2291	76	1	−	−	PROPN
iajs-2291	76	2	∫	∫	PROPN
iajs-2291	76	3	𝜕𝜓	𝜕𝜓	PROPN
iajs-2291	76	4	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	76	5	𝑑𝜂	𝑑𝜂	VERB
iajs-2291	76	6	ℎ	ℎ	ADP
iajs-2291	76	7	−ℎ	−ℎ	NOUN
iajs-2291	76	8	=	=	SYM
iajs-2291	76	9	−(𝜓(ℎ	−(𝜓(ℎ	PROPN
iajs-2291	76	10	)	)	PUNCT
iajs-2291	76	11	−	−	PROPN
iajs-2291	76	12	𝜓(−ℎ	𝜓(−ℎ	NOUN
iajs-2291	76	13	)	)	PUNCT
iajs-2291	76	14	)	)	PUNCT
iajs-2291	76	15	then	then	ADV
iajs-2291	76	16	:	:	PUNCT
iajs-2291	76	17	𝜓(ℎ	𝜓(ℎ	X
iajs-2291	76	18	)	)	PUNCT
iajs-2291	76	19	−	−	PROPN
iajs-2291	76	20	𝜓(−ℎ	𝜓(−ℎ	NOUN
iajs-2291	76	21	)	)	PUNCT
iajs-2291	76	22	=	=	SYM
iajs-2291	76	23	−𝐹	−𝐹	NUM
iajs-2291	76	24	𝜓(ℎ	𝜓(ℎ	PROPN
iajs-2291	76	25	)	)	PUNCT
iajs-2291	76	26	=	=	PUNCT
iajs-2291	77	1	−	−	PROPN
iajs-2291	77	2	𝐹	𝐹	PROPN
iajs-2291	77	3	2	2	NUM
iajs-2291	77	4	at	at	ADP
iajs-2291	77	5	the	the	DET
iajs-2291	77	6	upper	upper	ADJ
iajs-2291	77	7	wall	wall	NOUN
iajs-2291	77	8	and	and	CCONJ
iajs-2291	77	9	𝜓(−ℎ	𝜓(−ℎ	NOUN
iajs-2291	77	10	)	)	PUNCT
iajs-2291	77	11	=	=	SYM
iajs-2291	77	12	𝐹	𝐹	PROPN
iajs-2291	77	13	2	2	NUM
iajs-2291	77	14	at	at	ADP
iajs-2291	77	15	the	the	DET
iajs-2291	77	16	lower	low	ADJ
iajs-2291	77	17	wall	wall	NOUN
iajs-2291	77	18	.	.	PUNCT
iajs-2291	78	1	the	the	DET
iajs-2291	78	2	dimensionless	dimensionless	NOUN
iajs-2291	78	3	pressure	pressure	NOUN
iajs-2291	78	4	rise	rise	NOUN
iajs-2291	78	5	over	over	ADP
iajs-2291	78	6	wave	wave	NOUN
iajs-2291	78	7	length	length	NOUN
iajs-2291	78	8	is	be	AUX
iajs-2291	78	9	defined	define	VERB
iajs-2291	78	10	by	by	ADP
iajs-2291	78	11	:	:	PUNCT
iajs-2291	78	12	∆𝑝𝜆	∆𝑝𝜆	X
iajs-2291	78	13	=	=	SYM
iajs-2291	79	1	∫	∫	PROPN
iajs-2291	80	1	𝑑𝑝	𝑑𝑝	ADV
iajs-2291	80	2	𝑑𝑥	𝑑𝑥	VERB
iajs-2291	80	3	𝑑𝑥	𝑑𝑥	VERB
iajs-2291	80	4	2𝜋	2𝜋	NOUN
iajs-2291	80	5	0	0	PUNCT
iajs-2291	80	6	ibn	ibn	PROPN
iajs-2291	80	7	al	al	PROPN
iajs-2291	80	8	-	-	PUNCT
iajs-2291	80	9	haitham	haitham	PROPN
iajs-2291	80	10	jour	jour	X
iajs-2291	80	11	.	.	PROPN
iajs-2291	81	1	for	for	ADP
iajs-2291	81	2	pure	pure	ADJ
iajs-2291	81	3	&	&	CCONJ
iajs-2291	81	4	appl	appl	PROPN
iajs-2291	81	5	.	.	PUNCT
iajs-2291	82	1	sci	sci	PROPN
iajs-2291	82	2	.	.	PROPN
iajs-2291	82	3	32	32	NUM
iajs-2291	82	4	(	(	PUNCT
iajs-2291	82	5	3	3	NUM
iajs-2291	82	6	)	)	PUNCT
iajs-2291	82	7	2019	2019	NUM
iajs-2291	82	8	144	144	NUM
iajs-2291	82	9	3	3	NUM
iajs-2291	82	10	.	.	PUNCT
iajs-2291	82	11	methods	method	NOUN
iajs-2291	82	12	of	of	ADP
iajs-2291	82	13	solution	solution	NOUN
iajs-2291	82	14	for	for	ADP
iajs-2291	82	15	the	the	DET
iajs-2291	82	16	problem	problem	NOUN
iajs-2291	82	17	using	use	VERB
iajs-2291	82	18	the	the	DET
iajs-2291	82	19	perturbation	perturbation	NOUN
iajs-2291	82	20	for	for	ADP
iajs-2291	82	21	small	small	ADJ
iajs-2291	82	22	values	value	NOUN
iajs-2291	82	23	of	of	ADP
iajs-2291	82	24	1	1	NUM
iajs-2291	82	25	𝑘	𝑘	NOUN
iajs-2291	82	26	by	by	ADP
iajs-2291	82	27	expanding	expand	VERB
iajs-2291	82	28	the	the	DET
iajs-2291	82	29	flow	flow	NOUN
iajs-2291	82	30	quantities	quantity	NOUN
iajs-2291	82	31	in	in	ADP
iajs-2291	82	32	a	a	DET
iajs-2291	82	33	power	power	NOUN
iajs-2291	82	34	series	series	NOUN
iajs-2291	82	35	of	of	ADP
iajs-2291	82	36	1	1	NUM
iajs-2291	82	37	𝑘	𝑘	NOUN
iajs-2291	82	38	as	as	SCONJ
iajs-2291	82	39	follows	follow	VERB
iajs-2291	82	40	:	:	PUNCT
iajs-2291	82	41	𝜓	𝜓	PROPN
iajs-2291	82	42	=	=	PUNCT
iajs-2291	82	43	𝜓0	𝜓0	PROPN
iajs-2291	82	44	+	+	CCONJ
iajs-2291	82	45	1	1	NUM
iajs-2291	82	46	𝑘	𝑘	DET
iajs-2291	82	47	𝜓1	𝜓1	NOUN
iajs-2291	82	48	+	+	CCONJ
iajs-2291	82	49	1	1	NUM
iajs-2291	82	50	𝑘2	𝑘2	PROPN
iajs-2291	82	51	𝜓3	𝜓3	NOUN
iajs-2291	82	52	1	1	NUM
iajs-2291	82	53	𝑘+𝜂	𝑘+𝜂	PROPN
iajs-2291	82	54	=	=	SYM
iajs-2291	83	1	1	1	NUM
iajs-2291	83	2	𝑘	𝑘	DET
iajs-2291	83	3	−	−	NOUN
iajs-2291	83	4	𝜂	𝜂	PROPN
iajs-2291	83	5	𝑘2	𝑘2	PROPN
iajs-2291	83	6	+	+	CCONJ
iajs-2291	83	7	𝜂2	𝜂2	PROPN
iajs-2291	83	8	𝑘3	𝑘3	PROPN
iajs-2291	83	9	1	1	NUM
iajs-2291	83	10	(	(	PUNCT
iajs-2291	83	11	𝑘+𝜂)2	𝑘+𝜂)2	PROPN
iajs-2291	83	12	=	=	SYM
iajs-2291	83	13	1	1	NUM
iajs-2291	83	14	𝑘2	𝑘2	PROPN
iajs-2291	83	15	−	−	PROPN
iajs-2291	83	16	2𝜂	2𝜂	NOUN
iajs-2291	83	17	𝑘3	𝑘3	NOUN
iajs-2291	83	18	+	+	CCONJ
iajs-2291	83	19	3𝜂2	3𝜂2	NUM
iajs-2291	83	20	𝑘4	𝑘4	NOUN
iajs-2291	83	21	1	1	NUM
iajs-2291	83	22	(	(	PUNCT
iajs-2291	83	23	𝑘+𝜂)3	𝑘+𝜂)3	NOUN
iajs-2291	83	24	=	=	SYM
iajs-2291	83	25	1	1	NUM
iajs-2291	83	26	𝑘3	𝑘3	PROPN
iajs-2291	83	27	−	−	PROPN
iajs-2291	83	28	3𝜂	3𝜂	NUM
iajs-2291	83	29	𝑘4	𝑘4	PROPN
iajs-2291	83	30	+	+	CCONJ
iajs-2291	83	31	6𝜂2	6𝜂2	NUM
iajs-2291	83	32	𝑘5	𝑘5	NOUN
iajs-2291	83	33	(	(	PUNCT
iajs-2291	83	34	20	20	NUM
iajs-2291	83	35	)	)	PUNCT
iajs-2291	83	36	substituting	substitute	VERB
iajs-2291	83	37	the	the	DET
iajs-2291	83	38	above	above	ADJ
iajs-2291	83	39	equation	equation	NOUN
iajs-2291	83	40	(	(	PUNCT
iajs-2291	83	41	20	20	NUM
iajs-2291	83	42	)	)	PUNCT
iajs-2291	83	43	into	into	ADP
iajs-2291	83	44	the	the	DET
iajs-2291	83	45	equation	equation	NOUN
iajs-2291	83	46	(	(	PUNCT
iajs-2291	83	47	19	19	NUM
iajs-2291	83	48	)	)	PUNCT
iajs-2291	83	49	and	and	CCONJ
iajs-2291	83	50	then	then	ADV
iajs-2291	83	51	comparing	compare	VERB
iajs-2291	83	52	the	the	DET
iajs-2291	83	53	coefficients	coefficient	NOUN
iajs-2291	83	54	of	of	ADP
iajs-2291	83	55	the	the	DET
iajs-2291	83	56	same	same	ADJ
iajs-2291	83	57	power	power	NOUN
iajs-2291	83	58	of	of	ADP
iajs-2291	83	59	1	1	NUM
iajs-2291	83	60	𝑘	𝑘	PRON
iajs-2291	83	61	up	up	ADP
iajs-2291	83	62	to	to	ADP
iajs-2291	83	63	the	the	DET
iajs-2291	83	64	second	second	ADJ
iajs-2291	83	65	order	order	NOUN
iajs-2291	83	66	the	the	DET
iajs-2291	83	67	following	follow	VERB
iajs-2291	83	68	systems	system	NOUN
iajs-2291	83	69	will	will	AUX
iajs-2291	83	70	be	be	AUX
iajs-2291	83	71	obtained	obtain	VERB
iajs-2291	83	72	:	:	PUNCT
iajs-2291	83	73	3.1	3.1	NUM
iajs-2291	83	74	the	the	DET
iajs-2291	83	75	zeroth	zeroth	ADJ
iajs-2291	83	76	order	order	NOUN
iajs-2291	83	77	𝜕4𝜓0	𝜕4𝜓0	DET
iajs-2291	83	78	𝜕𝜂4	𝜕𝜂4	NOUN
iajs-2291	83	79	=	=	SYM
iajs-2291	83	80	0	0	PUNCT
iajs-2291	83	81	(	(	PUNCT
iajs-2291	83	82	21	21	NUM
iajs-2291	83	83	)	)	PUNCT
iajs-2291	83	84	along	along	ADP
iajs-2291	83	85	with	with	ADP
iajs-2291	83	86	its	its	PRON
iajs-2291	83	87	boundary	boundary	ADJ
iajs-2291	83	88	conditions	condition	NOUN
iajs-2291	83	89	:	:	PUNCT
iajs-2291	83	90	𝜓0	𝜓0	PROPN
iajs-2291	83	91	=	=	PUNCT
iajs-2291	84	1	−	−	NOUN
iajs-2291	84	2	𝐹	𝐹	PROPN
iajs-2291	84	3	2	2	NUM
iajs-2291	84	4	,	,	PUNCT
iajs-2291	84	5	𝜕𝜓0	𝜕𝜓0	NOUN
iajs-2291	84	6	𝜕𝜂	𝜕𝜂	NOUN
iajs-2291	84	7	=	=	NOUN
iajs-2291	84	8	1	1	NUM
iajs-2291	84	9	at	at	ADP
iajs-2291	84	10	the	the	DET
iajs-2291	84	11	upper	upper	ADJ
iajs-2291	84	12	wall	wall	NOUN
iajs-2291	84	13	𝜓0	𝜓0	PROPN
iajs-2291	84	14	=	=	PUNCT
iajs-2291	84	15	𝐹	𝐹	PROPN
iajs-2291	84	16	2	2	NUM
iajs-2291	84	17	,	,	PUNCT
iajs-2291	84	18	𝜕𝜓0	𝜕𝜓0	NOUN
iajs-2291	84	19	𝜕𝜂	𝜕𝜂	NOUN
iajs-2291	84	20	=	=	NOUN
iajs-2291	84	21	1	1	NUM
iajs-2291	84	22	at	at	ADP
iajs-2291	84	23	the	the	DET
iajs-2291	84	24	lower	low	ADJ
iajs-2291	84	25	wall	wall	NOUN
iajs-2291	84	26	(	(	PUNCT
iajs-2291	84	27	22	22	NUM
iajs-2291	84	28	)	)	PUNCT
iajs-2291	84	29	3.2	3.2	NUM
iajs-2291	84	30	the	the	DET
iajs-2291	84	31	first	first	ADJ
iajs-2291	84	32	order	order	NOUN
iajs-2291	84	33	𝜕4𝜓1	𝜕4𝜓1	ADJ
iajs-2291	84	34	𝜕𝜂4	𝜕𝜂4	NOUN
iajs-2291	84	35	+	+	CCONJ
iajs-2291	84	36	2	2	NUM
iajs-2291	84	37	𝜕3𝜓0	𝜕3𝜓0	ADJ
iajs-2291	84	38	𝜕𝜂3	𝜕𝜂3	NOUN
iajs-2291	84	39	=	=	SYM
iajs-2291	84	40	0	0	NUM
iajs-2291	84	41	(	(	PUNCT
iajs-2291	84	42	23	23	NUM
iajs-2291	84	43	)	)	PUNCT
iajs-2291	84	44	along	along	ADP
iajs-2291	84	45	with	with	ADP
iajs-2291	84	46	its	its	PRON
iajs-2291	84	47	boundary	boundary	ADJ
iajs-2291	84	48	conditions	condition	NOUN
iajs-2291	84	49	:	:	PUNCT
iajs-2291	84	50	𝜓1	𝜓1	NOUN
iajs-2291	84	51	=	=	SYM
iajs-2291	84	52	0	0	NUM
iajs-2291	84	53	,	,	PUNCT
iajs-2291	84	54	𝜕𝜓1	𝜕𝜓1	ADV
iajs-2291	84	55	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	84	56	=	=	NOUN
iajs-2291	84	57	0	0	NUM
iajs-2291	84	58	at	at	ADP
iajs-2291	84	59	the	the	DET
iajs-2291	84	60	upper	upper	ADJ
iajs-2291	84	61	wall	wall	NOUN
iajs-2291	84	62	𝜓1	𝜓1	NOUN
iajs-2291	84	63	=	=	SYM
iajs-2291	84	64	0	0	NUM
iajs-2291	84	65	,	,	PUNCT
iajs-2291	84	66	𝜕𝜓1	𝜕𝜓1	ADV
iajs-2291	84	67	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	84	68	=	=	NOUN
iajs-2291	84	69	0	0	NUM
iajs-2291	84	70	at	at	ADP
iajs-2291	84	71	the	the	DET
iajs-2291	84	72	lower	low	ADJ
iajs-2291	84	73	wall	wall	NOUN
iajs-2291	84	74	(	(	PUNCT
iajs-2291	84	75	24	24	NUM
iajs-2291	84	76	)	)	PUNCT
iajs-2291	84	77	3.3	3.3	NUM
iajs-2291	84	78	the	the	DET
iajs-2291	84	79	second	second	ADJ
iajs-2291	84	80	order	order	NOUN
iajs-2291	84	81	𝜕4𝜓2	𝜕4𝜓2	PUNCT
iajs-2291	84	82	𝜕𝜂4	𝜕𝜂4	NOUN
iajs-2291	84	83	+	+	CCONJ
iajs-2291	84	84	2	2	NUM
iajs-2291	84	85	𝜕3𝜓1	𝜕3𝜓1	PROPN
iajs-2291	84	86	𝜕𝜂3	𝜕𝜂3	NOUN
iajs-2291	84	87	−	−	ADP
iajs-2291	84	88	2𝜂	2𝜂	NOUN
iajs-2291	84	89	𝜕3𝜓0	𝜕3𝜓0	ADJ
iajs-2291	84	90	𝜕𝜂3	𝜕𝜂3	NOUN
iajs-2291	84	91	−	−	NOUN
iajs-2291	84	92	𝜕3𝜓0	𝜕3𝜓0	ADJ
iajs-2291	84	93	𝜕𝜂3	𝜕𝜂3	NOUN
iajs-2291	84	94	=	=	SYM
iajs-2291	84	95	0	0	PUNCT
iajs-2291	84	96	(	(	PUNCT
iajs-2291	84	97	25	25	NUM
iajs-2291	84	98	)	)	PUNCT
iajs-2291	84	99	along	along	ADP
iajs-2291	84	100	with	with	ADP
iajs-2291	84	101	its	its	PRON
iajs-2291	84	102	boundary	boundary	ADJ
iajs-2291	84	103	condition	condition	NOUN
iajs-2291	84	104	:	:	PUNCT
iajs-2291	84	105	𝜓1	𝜓1	NOUN
iajs-2291	84	106	=	=	SYM
iajs-2291	84	107	0	0	NUM
iajs-2291	84	108	,	,	PUNCT
iajs-2291	84	109	𝜕𝜓1	𝜕𝜓1	ADV
iajs-2291	84	110	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	84	111	=	=	NOUN
iajs-2291	84	112	0	0	NUM
iajs-2291	84	113	at	at	ADP
iajs-2291	84	114	the	the	DET
iajs-2291	84	115	upper	upper	ADJ
iajs-2291	84	116	wall	wall	NOUN
iajs-2291	84	117	𝜓1	𝜓1	NOUN
iajs-2291	84	118	=	=	SYM
iajs-2291	84	119	0	0	NUM
iajs-2291	84	120	,	,	PUNCT
iajs-2291	84	121	𝜕𝜓1	𝜕𝜓1	ADV
iajs-2291	84	122	𝜕𝜂	𝜕𝜂	PROPN
iajs-2291	84	123	=	=	NOUN
iajs-2291	84	124	0	0	NUM
iajs-2291	84	125	at	at	ADP
iajs-2291	84	126	the	the	DET
iajs-2291	84	127	lower	low	ADJ
iajs-2291	84	128	wall	wall	NOUN
iajs-2291	84	129	(	(	PUNCT
iajs-2291	84	130	26	26	NUM
iajs-2291	84	131	)	)	PUNCT
iajs-2291	84	132	solving	solve	VERB
iajs-2291	84	133	the	the	DET
iajs-2291	84	134	above	above	ADJ
iajs-2291	84	135	systems	system	NOUN
iajs-2291	84	136	of	of	ADP
iajs-2291	84	137	the	the	DET
iajs-2291	84	138	zeroth	zeroth	NOUN
iajs-2291	84	139	,	,	PUNCT
iajs-2291	84	140	first	first	ADJ
iajs-2291	84	141	and	and	CCONJ
iajs-2291	84	142	second	second	ADJ
iajs-2291	84	143	order	order	NOUN
iajs-2291	84	144	by	by	ADP
iajs-2291	84	145	mathematic	mathematic	ADJ
iajs-2291	84	146	program	program	NOUN
iajs-2291	84	147	,	,	PUNCT
iajs-2291	84	148	the	the	DET
iajs-2291	84	149	final	final	ADJ
iajs-2291	84	150	calculation	calculation	NOUN
iajs-2291	84	151	for	for	ADP
iajs-2291	84	152	the	the	DET
iajs-2291	84	153	stream	stream	NOUN
iajs-2291	84	154	function	function	NOUN
iajs-2291	84	155	would	would	AUX
iajs-2291	84	156	be	be	AUX
iajs-2291	84	157	as	as	SCONJ
iajs-2291	84	158	follows	follow	VERB
iajs-2291	84	159	:	:	PUNCT
iajs-2291	85	1	𝜓	𝜓	X
iajs-2291	85	2	=	=	PUNCT
iajs-2291	85	3	𝑎1	𝑎1	PROPN
iajs-2291	85	4	+	+	CCONJ
iajs-2291	86	1	𝑎2𝜂	𝑎2𝜂	ADV
iajs-2291	86	2	+	+	NUM
iajs-2291	86	3	𝑎3𝜂2	𝑎3𝜂2	X
iajs-2291	86	4	+	+	ADJ
iajs-2291	86	5	𝑎4𝜂3	𝑎4𝜂3	X
iajs-2291	86	6	+	+	CCONJ
iajs-2291	86	7	𝑎5+𝑎6𝜂+𝑎7𝜂2+𝑎8𝜂3−	𝑎5+𝑎6𝜂+𝑎7𝜂2+𝑎8𝜂3−	NOUN
iajs-2291	86	8	a4𝜂4	a4𝜂4	X
iajs-2291	86	9	2	2	NUM
iajs-2291	86	10	𝑘	𝑘	NOUN
iajs-2291	87	1	+	+	X
iajs-2291	88	1	𝑎9+𝑎10𝜂+𝑎11𝜂2+𝑎11𝜂3	𝑎9+𝑎10𝜂+𝑎11𝜂2+𝑎11𝜂3	PROPN
iajs-2291	88	2	+	+	CCONJ
iajs-2291	88	3	1	1	NUM
iajs-2291	88	4	12	12	NUM
iajs-2291	88	5	(	(	PUNCT
iajs-2291	88	6	(	(	PUNCT
iajs-2291	88	7	𝑎3−6𝑎8)𝜂4	𝑎3−6𝑎8)𝜂4	VERB
iajs-2291	88	8	+	+	CCONJ
iajs-2291	88	9	21𝑎4𝜂5	21𝑎4𝜂5	NUM
iajs-2291	88	10	5	5	X
iajs-2291	88	11	)	)	PUNCT
iajs-2291	88	12	𝑘2	𝑘2	PROPN
iajs-2291	88	13	(	(	PUNCT
iajs-2291	88	14	27	27	NUM
iajs-2291	88	15	)	)	PUNCT
iajs-2291	88	16	and	and	CCONJ
iajs-2291	88	17	,	,	PUNCT
iajs-2291	88	18	ibn	ibn	PROPN
iajs-2291	88	19	al	al	PROPN
iajs-2291	88	20	-	-	PUNCT
iajs-2291	88	21	haitham	haitham	PROPN
iajs-2291	88	22	jour	jour	X
iajs-2291	88	23	.	.	PROPN
iajs-2291	89	1	for	for	ADP
iajs-2291	89	2	pure	pure	ADJ
iajs-2291	89	3	&	&	CCONJ
iajs-2291	89	4	appl	appl	PROPN
iajs-2291	89	5	.	.	PUNCT
iajs-2291	90	1	sci	sci	PROPN
iajs-2291	90	2	.	.	PROPN
iajs-2291	90	3	32	32	NUM
iajs-2291	90	4	(	(	PUNCT
iajs-2291	90	5	3	3	NUM
iajs-2291	90	6	)	)	PUNCT
iajs-2291	90	7	2019	2019	NUM
iajs-2291	90	8	145	145	NUM
iajs-2291	91	1	𝑎1	𝑎1	NOUN
iajs-2291	91	2	=	=	PUNCT
iajs-2291	91	3	−	−	PROPN
iajs-2291	91	4	𝐹ℎ1	𝐹ℎ1	NOUN
iajs-2291	91	5	3−3𝐹ℎ1	3−3𝐹ℎ1	NOUN
iajs-2291	91	6	2ℎ2	2ℎ2	NUM
iajs-2291	91	7	−2ℎ1	−2ℎ1	NUM
iajs-2291	91	8	3ℎ2	3ℎ2	NUM
iajs-2291	92	1	−3𝐹ℎ1ℎ2	−3𝐹ℎ1ℎ2	PRON
iajs-2291	92	2	2+𝐹ℎ2	2+𝐹ℎ2	NUM
iajs-2291	92	3	3	3	NUM
iajs-2291	92	4	+	+	NOUN
iajs-2291	92	5	2ℎ1ℎ2	2ℎ1ℎ2	NUM
iajs-2291	92	6	3	3	NUM
iajs-2291	92	7	2(−ℎ1+ℎ2	2(−ℎ1+ℎ2	NUM
iajs-2291	92	8	)	)	PUNCT
iajs-2291	92	9	3	3	NUM
iajs-2291	92	10	,	,	PUNCT
iajs-2291	92	11	𝑎2	𝑎2	NOUN
iajs-2291	92	12	=	=	PUNCT
iajs-2291	92	13	−	−	PROPN
iajs-2291	92	14	−ℎ1	−ℎ1	PROPN
iajs-2291	92	15	3−6𝐹ℎ1ℎ2	3−6𝐹ℎ1ℎ2	PROPN
iajs-2291	92	16	−3ℎ1	−3ℎ1	NUM
iajs-2291	92	17	2ℎ2	2ℎ2	NUM
iajs-2291	92	18	+3ℎ1ℎ2	+3ℎ1ℎ2	PRON
iajs-2291	92	19	2+ℎ2	2+ℎ2	NUM
iajs-2291	92	20	3	3	NUM
iajs-2291	92	21	(	(	PUNCT
iajs-2291	92	22	ℎ1−ℎ2	ℎ1−ℎ2	NOUN
iajs-2291	92	23	)	)	PUNCT
iajs-2291	92	24	3	3	NUM
iajs-2291	92	25	,	,	PUNCT
iajs-2291	92	26	𝑎3	𝑎3	NOUN
iajs-2291	92	27	=	=	PUNCT
iajs-2291	92	28	−	−	PROPN
iajs-2291	92	29	3(𝐹+ℎ1−ℎ2	3(𝐹+ℎ1−ℎ2	NUM
iajs-2291	92	30	)	)	PUNCT
iajs-2291	92	31	(	(	PUNCT
iajs-2291	92	32	ℎ1+ℎ2	ℎ1+ℎ2	NOUN
iajs-2291	92	33	)	)	PUNCT
iajs-2291	92	34	(	(	PUNCT
iajs-2291	92	35	ℎ1−ℎ2	ℎ1−ℎ2	NOUN
iajs-2291	92	36	)	)	PUNCT
iajs-2291	92	37	3	3	NUM
iajs-2291	92	38	,	,	PUNCT
iajs-2291	92	39	𝑎4	𝑎4	PROPN
iajs-2291	92	40	=	=	SYM
iajs-2291	92	41	2(𝐹+h1−ℎ2	2(𝐹+h1−ℎ2	NUM
iajs-2291	92	42	)	)	PUNCT
iajs-2291	92	43	(	(	PUNCT
iajs-2291	92	44	ℎ1−ℎ2	ℎ1−ℎ2	NOUN
iajs-2291	92	45	)	)	PUNCT
iajs-2291	92	46	3	3	NUM
iajs-2291	92	47	,	,	PUNCT
iajs-2291	92	48	𝑎5	𝑎5	PROPN
iajs-2291	92	49	=	=	SYM
iajs-2291	92	50	−	−	PROPN
iajs-2291	92	51	1	1	NUM
iajs-2291	92	52	2	2	NUM
iajs-2291	92	53	𝑎4ℎ1	𝑎4ℎ1	X
iajs-2291	92	54	2ℎ2	2ℎ2	NUM
iajs-2291	92	55	2	2	NUM
iajs-2291	92	56	,	,	PUNCT
iajs-2291	92	57	𝑎6	𝑎6	NOUN
iajs-2291	92	58	=	=	PUNCT
iajs-2291	92	59	𝑎4ℎ1	𝑎4ℎ1	NOUN
iajs-2291	92	60	2ℎ2	2ℎ2	NUM
iajs-2291	92	61	+	+	CCONJ
iajs-2291	92	62	𝑎4ℎ1ℎ2	𝑎4ℎ1ℎ2	PROPN
iajs-2291	92	63	2	2	NUM
iajs-2291	92	64	,	,	PUNCT
iajs-2291	92	65	𝑎7	𝑎7	NOUN
iajs-2291	92	66	=	=	NOUN
iajs-2291	92	67	1	1	NUM
iajs-2291	92	68	2	2	NUM
iajs-2291	92	69	(	(	PUNCT
iajs-2291	92	70	−𝑎4ℎ1	−𝑎4ℎ1	PROPN
iajs-2291	92	71	2	2	NUM
iajs-2291	92	72	−	−	NOUN
iajs-2291	92	73	4𝑎4ℎ1ℎ2	4𝑎4ℎ1ℎ2	NOUN
iajs-2291	92	74	−	−	NOUN
iajs-2291	92	75	𝑎4ℎ2	𝑎4ℎ2	PROPN
iajs-2291	92	76	2	2	NUM
iajs-2291	92	77	)	)	PUNCT
iajs-2291	92	78	,	,	PUNCT
iajs-2291	92	79	𝑎8	𝑎8	NOUN
iajs-2291	92	80	=	=	PUNCT
iajs-2291	92	81	𝑎4ℎ1	𝑎4ℎ1	X
iajs-2291	92	82	+	+	ADJ
iajs-2291	92	83	𝑎4ℎ2	𝑎4ℎ2	NOUN
iajs-2291	92	84	,	,	PUNCT
iajs-2291	92	85	𝑎9	𝑎9	PROPN
iajs-2291	92	86	=	=	SYM
iajs-2291	92	87	1	1	NUM
iajs-2291	92	88	60	60	NUM
iajs-2291	92	89	(	(	PUNCT
iajs-2291	92	90	5𝑎3ℎ1	5𝑎3ℎ1	NUM
iajs-2291	92	91	2ℎ2	2ℎ2	NUM
iajs-2291	92	92	2	2	NUM
iajs-2291	92	93	−	−	NOUN
iajs-2291	92	94	30𝑎8ℎ1	30𝑎8ℎ1	NUM
iajs-2291	92	95	2ℎ2	2ℎ2	NUM
iajs-2291	92	96	2	2	NUM
iajs-2291	92	97	+	+	CCONJ
iajs-2291	92	98	42𝑎4ℎ1	42𝑎4ℎ1	NUM
iajs-2291	92	99	3ℎ2	3ℎ2	NUM
iajs-2291	92	100	2	2	NUM
iajs-2291	92	101	+	+	CCONJ
iajs-2291	92	102	42𝑎4ℎ1	42𝑎4ℎ1	NUM
iajs-2291	92	103	2ℎ2	2ℎ2	NUM
iajs-2291	92	104	3	3	NUM
iajs-2291	92	105	)	)	PUNCT
iajs-2291	92	106	,	,	PUNCT
iajs-2291	92	107	𝑎10	𝑎10	NOUN
iajs-2291	92	108	=	=	SYM
iajs-2291	92	109	−	−	PROPN
iajs-2291	92	110	1	1	NUM
iajs-2291	92	111	60	60	NUM
iajs-2291	92	112	ℎ1	ℎ1	PROPN
iajs-2291	92	113	(	(	PUNCT
iajs-2291	92	114	10𝑎3ℎ1ℎ2	10𝑎3ℎ1ℎ2	NUM
iajs-2291	92	115	−	−	NUM
iajs-2291	92	116	60𝑎8ℎ1ℎ2	60𝑎8ℎ1ℎ2	NUM
iajs-2291	92	117	+	+	NUM
iajs-2291	92	118	84𝑎4ℎ1	84𝑎4ℎ1	NUM
iajs-2291	92	119	2ℎ2	2ℎ2	NUM
iajs-2291	92	120	+	+	CCONJ
iajs-2291	92	121	10𝑎3ℎ2	10𝑎3ℎ2	NUM
iajs-2291	92	122	2	2	NUM
iajs-2291	92	123	−	−	NOUN
iajs-2291	92	124	60𝑎8ℎ2	60𝑎8ℎ2	NOUN
iajs-2291	92	125	2	2	NUM
iajs-2291	92	126	+	+	CCONJ
iajs-2291	92	127	147𝑎4ℎ1ℎ2	147𝑎4ℎ1ℎ2	NUM
iajs-2291	92	128	2	2	NUM
iajs-2291	92	129	+	+	NUM
iajs-2291	92	130	84𝑎4ℎ2	84𝑎4ℎ2	NUM
iajs-2291	92	131	3	3	NUM
iajs-2291	92	132	)	)	PUNCT
iajs-2291	92	133	,	,	PUNCT
iajs-2291	92	134	𝑎11	𝑎11	VERB
iajs-2291	92	135	=	=	SYM
iajs-2291	92	136	1	1	NUM
iajs-2291	92	137	60	60	NUM
iajs-2291	92	138	(	(	PUNCT
iajs-2291	92	139	5𝑎3ℎ1	5𝑎3ℎ1	NUM
iajs-2291	92	140	2	2	NUM
iajs-2291	92	141	−	−	NOUN
iajs-2291	92	142	30𝑎8ℎ1	30𝑎8ℎ1	NOUN
iajs-2291	92	143	2	2	NUM
iajs-2291	92	144	+	+	CCONJ
iajs-2291	92	145	42𝑎4ℎ1	42𝑎4ℎ1	NUM
iajs-2291	92	146	3	3	NUM
iajs-2291	92	147	+	+	SYM
iajs-2291	93	1	20𝑎3ℎ1ℎ2	20𝑎3ℎ1ℎ2	NUM
iajs-2291	93	2	−	−	NOUN
iajs-2291	93	3	120𝑎8ℎ1ℎ2	120𝑎8ℎ1ℎ2	NUM
iajs-2291	93	4	+	+	NUM
iajs-2291	93	5	168𝑎4ℎ1	168𝑎4ℎ1	NUM
iajs-2291	93	6	2ℎ2	2ℎ2	NUM
iajs-2291	93	7	+	+	CCONJ
iajs-2291	93	8	5𝑎3ℎ2	5𝑎3ℎ2	NUM
iajs-2291	93	9	2	2	NUM
iajs-2291	93	10	−	−	NOUN
iajs-2291	93	11	30𝑎8ℎ2	30𝑎8ℎ2	NUM
iajs-2291	93	12	2	2	NUM
iajs-2291	93	13	+	+	CCONJ
iajs-2291	93	14	168𝑎4ℎ1ℎ2	168𝑎4ℎ1ℎ2	NUM
iajs-2291	93	15	2	2	NUM
iajs-2291	93	16	+	+	NUM
iajs-2291	93	17	42𝑎4ℎ2	42𝑎4ℎ2	NOUN
iajs-2291	93	18	3	3	NUM
iajs-2291	93	19	)	)	PUNCT
iajs-2291	93	20	,	,	PUNCT
iajs-2291	93	21	𝑎12	𝑎12	NOUN
iajs-2291	93	22	=	=	SYM
iajs-2291	93	23	1	1	NUM
iajs-2291	93	24	60	60	NUM
iajs-2291	93	25	(	(	PUNCT
iajs-2291	93	26	−10𝑎3ℎ1	−10𝑎3ℎ1	VERB
iajs-2291	93	27	+	+	CCONJ
iajs-2291	93	28	60𝑎8ℎ1	60𝑎8ℎ1	NUM
iajs-2291	93	29	−	−	NOUN
iajs-2291	93	30	63𝑎4ℎ1	63𝑎4ℎ1	NOUN
iajs-2291	93	31	2	2	NUM
iajs-2291	93	32	−	−	NUM
iajs-2291	93	33	10𝑎3ℎ2	10𝑎3ℎ2	PROPN
iajs-2291	93	34	+	+	CCONJ
iajs-2291	93	35	60𝑎8ℎ2	60𝑎8ℎ2	ADJ
iajs-2291	93	36	−	−	PROPN
iajs-2291	93	37	84𝑎4ℎ1ℎ2	84𝑎4ℎ1ℎ2	NUM
iajs-2291	93	38	−	−	PROPN
iajs-2291	93	39	63𝑎4ℎ2	63𝑎4ℎ2	NOUN
iajs-2291	93	40	2	2	NUM
iajs-2291	93	41	)	)	PUNCT
iajs-2291	93	42	(	(	PUNCT
iajs-2291	93	43	28	28	NUM
iajs-2291	93	44	)	)	PUNCT
iajs-2291	93	45	4	4	NUM
iajs-2291	93	46	.	.	NOUN
iajs-2291	93	47	results	result	NOUN
iajs-2291	93	48	and	and	CCONJ
iajs-2291	93	49	discussion	discussion	NOUN
iajs-2291	94	1	this	this	DET
iajs-2291	94	2	section	section	NOUN
iajs-2291	94	3	presented	present	VERB
iajs-2291	94	4	the	the	DET
iajs-2291	94	5	graphical	graphical	ADJ
iajs-2291	94	6	description	description	NOUN
iajs-2291	94	7	of	of	ADP
iajs-2291	94	8	different	different	ADJ
iajs-2291	94	9	parameters	parameter	NOUN
iajs-2291	94	10	on	on	ADP
iajs-2291	94	11	the	the	DET
iajs-2291	94	12	out	out	ADP
iajs-2291	94	13	coming	come	VERB
iajs-2291	94	14	of	of	ADP
iajs-2291	94	15	flow	flow	NOUN
iajs-2291	94	16	quantities	quantity	NOUN
iajs-2291	94	17	.	.	PUNCT
iajs-2291	95	1	the	the	DET
iajs-2291	95	2	variation	variation	NOUN
iajs-2291	95	3	of	of	ADP
iajs-2291	95	4	the	the	DET
iajs-2291	95	5	axial	axial	ADJ
iajs-2291	95	6	velocity	velocity	NOUN
iajs-2291	95	7	,	,	PUNCT
iajs-2291	95	8	local	local	ADJ
iajs-2291	95	9	shear	shear	NOUN
iajs-2291	95	10	stress	stress	NOUN
iajs-2291	95	11	,	,	PUNCT
iajs-2291	95	12	the	the	DET
iajs-2291	95	13	pressure	pressure	NOUN
iajs-2291	95	14	gradient	gradient	NOUN
iajs-2291	95	15	,	,	PUNCT
iajs-2291	95	16	the	the	DET
iajs-2291	95	17	pressure	pressure	NOUN
iajs-2291	95	18	rise	rise	NOUN
iajs-2291	95	19	and	and	CCONJ
iajs-2291	95	20	the	the	DET
iajs-2291	95	21	stream	stream	NOUN
iajs-2291	95	22	lines	line	NOUN
iajs-2291	95	23	are	be	AUX
iajs-2291	95	24	illustrated	illustrate	VERB
iajs-2291	95	25	and	and	CCONJ
iajs-2291	95	26	analyzed	analyze	VERB
iajs-2291	95	27	graphically	graphically	ADV
iajs-2291	95	28	.	.	PUNCT
iajs-2291	96	1	4.1	4.1	NUM
iajs-2291	96	2	the	the	DET
iajs-2291	96	3	axial	axial	ADJ
iajs-2291	96	4	velocity	velocity	NOUN
iajs-2291	96	5	the	the	DET
iajs-2291	96	6	outcome	outcome	NOUN
iajs-2291	96	7	in	in	ADP
iajs-2291	96	8	terms	term	NOUN
iajs-2291	96	9	of	of	ADP
iajs-2291	96	10	different	different	ADJ
iajs-2291	96	11	parameters	parameter	NOUN
iajs-2291	96	12	of	of	ADP
iajs-2291	96	13	the	the	DET
iajs-2291	96	14	axial	axial	ADJ
iajs-2291	96	15	velocity	velocity	NOUN
iajs-2291	96	16	𝑢	𝑢	X
iajs-2291	96	17	(	(	PUNCT
iajs-2291	96	18	𝜂	𝜂	NOUN
iajs-2291	96	19	)	)	PUNCT
iajs-2291	96	20	have	have	AUX
iajs-2291	96	21	been	be	AUX
iajs-2291	96	22	plotted	plot	VERB
iajs-2291	96	23	as	as	ADP
iajs-2291	96	24	a	a	DET
iajs-2291	96	25	function	function	NOUN
iajs-2291	96	26	of	of	ADP
iajs-2291	96	27	𝜂	𝜂	NOUN
iajs-2291	96	28	at	at	ADP
iajs-2291	96	29	𝑥	𝑥	NOUN
iajs-2291	96	30	=	=	PUNCT
iajs-2291	96	31	𝜋	𝜋	PROPN
iajs-2291	96	32	2	2	NUM
iajs-2291	96	33	the	the	DET
iajs-2291	96	34	wider	wide	ADJ
iajs-2291	96	35	part	part	NOUN
iajs-2291	96	36	of	of	ADP
iajs-2291	96	37	the	the	DET
iajs-2291	96	38	channel	channel	NOUN
iajs-2291	96	39	.	.	PUNCT
iajs-2291	97	1	it	it	PRON
iajs-2291	97	2	is	be	AUX
iajs-2291	97	3	clear	clear	ADJ
iajs-2291	97	4	from	from	ADP
iajs-2291	97	5	the	the	DET
iajs-2291	97	6	figurers	figurer	NOUN
iajs-2291	97	7	that	that	SCONJ
iajs-2291	97	8	the	the	DET
iajs-2291	97	9	axial	axial	ADJ
iajs-2291	97	10	velocity	velocity	NOUN
iajs-2291	97	11	attains	attain	NOUN
iajs-2291	97	12	parabolic	parabolic	VERB
iajs-2291	97	13	in	in	ADP
iajs-2291	97	14	nature	nature	NOUN
iajs-2291	97	15	other	other	ADJ
iajs-2291	97	16	than	than	ADP
iajs-2291	97	17	some	some	DET
iajs-2291	97	18	points	point	NOUN
iajs-2291	97	19	of	of	ADP
iajs-2291	97	20	reflection	reflection	NOUN
iajs-2291	97	21	on	on	ADP
iajs-2291	97	22	velocity	velocity	NOUN
iajs-2291	97	23	curves	curve	NOUN
iajs-2291	97	24	which	which	PRON
iajs-2291	97	25	opposite	opposite	ADP
iajs-2291	97	26	the	the	DET
iajs-2291	97	27	situation	situation	NOUN
iajs-2291	97	28	from	from	ADP
iajs-2291	97	29	increase	increase	NOUN
iajs-2291	97	30	to	to	PART
iajs-2291	97	31	decrease	decrease	VERB
iajs-2291	97	32	and	and	CCONJ
iajs-2291	97	33	vice	vice	ADV
iajs-2291	97	34	versa	versa	ADV
iajs-2291	97	35	including	include	VERB
iajs-2291	97	36	the	the	DET
iajs-2291	97	37	following	follow	VERB
iajs-2291	97	38	figures	figure	NOUN
iajs-2291	97	39	.	.	PUNCT
iajs-2291	98	1	figure	figure	NOUN
iajs-2291	98	2	2	2	NUM
iajs-2291	98	3	.	.	PUNCT
iajs-2291	99	1	describes	describe	VERB
iajs-2291	99	2	the	the	DET
iajs-2291	99	3	mixed	mixed	ADJ
iajs-2291	99	4	behavior	behavior	NOUN
iajs-2291	99	5	of	of	ADP
iajs-2291	99	6	small	small	ADJ
iajs-2291	99	7	values	value	NOUN
iajs-2291	99	8	of	of	ADP
iajs-2291	99	9	the	the	DET
iajs-2291	99	10	curvature	curvature	NOUN
iajs-2291	99	11	of	of	ADP
iajs-2291	99	12	the	the	DET
iajs-2291	99	13	channel	channel	NOUN
iajs-2291	99	14	on	on	ADP
iajs-2291	99	15	the	the	DET
iajs-2291	99	16	axial	axial	ADJ
iajs-2291	99	17	velocity	velocity	NOUN
iajs-2291	99	18	profile	profile	NOUN
iajs-2291	99	19	.	.	PUNCT
iajs-2291	100	1	it	it	PRON
iajs-2291	100	2	is	be	AUX
iajs-2291	100	3	clear	clear	ADJ
iajs-2291	100	4	that	that	SCONJ
iajs-2291	100	5	the	the	DET
iajs-2291	100	6	axial	axial	ADJ
iajs-2291	100	7	velocity	velocity	NOUN
iajs-2291	100	8	profile	profile	NOUN
iajs-2291	100	9	is	be	AUX
iajs-2291	100	10	not	not	PART
iajs-2291	100	11	symmetric	symmetric	ADJ
iajs-2291	100	12	at	at	ADP
iajs-2291	100	13	the	the	DET
iajs-2291	100	14	central	central	ADJ
iajs-2291	100	15	line	line	NOUN
iajs-2291	100	16	of	of	ADP
iajs-2291	100	17	the	the	DET
iajs-2291	100	18	channel	channel	NOUN
iajs-2291	100	19	𝜂	𝜂	NOUN
iajs-2291	100	20	=	=	SYM
iajs-2291	100	21	0	0	NUM
iajs-2291	100	22	,	,	PUNCT
iajs-2291	100	23	and	and	CCONJ
iajs-2291	100	24	the	the	DET
iajs-2291	100	25	maximal	maximal	ADJ
iajs-2291	100	26	of	of	ADP
iajs-2291	100	27	the	the	DET
iajs-2291	100	28	profile	profile	NOUN
iajs-2291	100	29	shift	shift	NOUN
iajs-2291	100	30	to	to	ADP
iajs-2291	100	31	the	the	DET
iajs-2291	100	32	end	end	NOUN
iajs-2291	100	33	of	of	ADP
iajs-2291	100	34	the	the	DET
iajs-2291	100	35	channel	channel	NOUN
iajs-2291	100	36	.	.	PUNCT
iajs-2291	101	1	however	however	ADV
iajs-2291	101	2	in	in	ADP
iajs-2291	101	3	figure	figure	NOUN
iajs-2291	101	4	3	3	NUM
iajs-2291	101	5	.	.	PUNCT
iajs-2291	102	1	for	for	ADP
iajs-2291	102	2	large	large	ADJ
iajs-2291	102	3	values	value	NOUN
iajs-2291	102	4	of	of	ADP
iajs-2291	102	5	𝑘	𝑘	PRON
iajs-2291	102	6	the	the	DET
iajs-2291	102	7	axial	axial	ADJ
iajs-2291	102	8	velocity	velocity	NOUN
iajs-2291	102	9	profile	profile	NOUN
iajs-2291	102	10	becomes	become	VERB
iajs-2291	102	11	symmetric	symmetric	ADJ
iajs-2291	102	12	at	at	ADP
iajs-2291	102	13	the	the	DET
iajs-2291	102	14	central	central	ADJ
iajs-2291	102	15	line	line	NOUN
iajs-2291	102	16	of	of	ADP
iajs-2291	102	17	the	the	DET
iajs-2291	102	18	channel	channel	NOUN
iajs-2291	102	19	𝜂	𝜂	NOUN
iajs-2291	102	20	=	=	SYM
iajs-2291	102	21	0	0	NUM
iajs-2291	102	22	.	.	PUNCT
iajs-2291	103	1	it	it	PRON
iajs-2291	103	2	has	have	AUX
iajs-2291	103	3	been	be	AUX
iajs-2291	103	4	noted	note	VERB
iajs-2291	103	5	that	that	SCONJ
iajs-2291	103	6	the	the	DET
iajs-2291	103	7	axial	axial	ADJ
iajs-2291	103	8	velocity	velocity	NOUN
iajs-2291	103	9	stops	stop	VERB
iajs-2291	103	10	and	and	CCONJ
iajs-2291	103	11	fixed	fix	VERB
iajs-2291	103	12	for	for	ADP
iajs-2291	103	13	large	large	ADJ
iajs-2291	103	14	values	value	NOUN
iajs-2291	103	15	of	of	ADP
iajs-2291	103	16	𝑘.	𝑘.	ADJ
iajs-2291	103	17	figure	figure	NOUN
iajs-2291	103	18	4	4	NUM
iajs-2291	103	19	.	.	PUNCT
iajs-2291	103	20	studied	study	VERB
iajs-2291	103	21	the	the	DET
iajs-2291	103	22	effect	effect	NOUN
iajs-2291	103	23	of	of	ADP
iajs-2291	103	24	𝜙	𝜙	PROPN
iajs-2291	103	25	on	on	ADP
iajs-2291	103	26	the	the	DET
iajs-2291	103	27	axial	axial	ADJ
iajs-2291	103	28	velocity	velocity	NOUN
iajs-2291	103	29	,	,	PUNCT
iajs-2291	103	30	the	the	DET
iajs-2291	103	31	graph	graph	NOUN
iajs-2291	103	32	that	that	PRON
iajs-2291	103	33	an	an	DET
iajs-2291	103	34	increase	increase	NOUN
iajs-2291	103	35	in	in	ADP
iajs-2291	103	36	𝜙	𝜙	DET
iajs-2291	103	37	increase	increase	NOUN
iajs-2291	103	38	the	the	DET
iajs-2291	103	39	axial	axial	ADJ
iajs-2291	103	40	velocity	velocity	NOUN
iajs-2291	103	41	profile	profile	NOUN
iajs-2291	103	42	near	near	ADP
iajs-2291	103	43	the	the	DET
iajs-2291	103	44	walls	wall	NOUN
iajs-2291	103	45	and	and	CCONJ
iajs-2291	103	46	decreases	decrease	VERB
iajs-2291	103	47	the	the	DET
iajs-2291	103	48	velocity	velocity	NOUN
iajs-2291	103	49	profile	profile	NOUN
iajs-2291	103	50	at	at	ADP
iajs-2291	103	51	the	the	DET
iajs-2291	103	52	central	central	ADJ
iajs-2291	103	53	part	part	NOUN
iajs-2291	103	54	of	of	ADP
iajs-2291	103	55	the	the	DET
iajs-2291	103	56	channel	channel	NOUN
iajs-2291	103	57	.	.	PUNCT
iajs-2291	104	1	it	it	PRON
iajs-2291	104	2	also	also	ADV
iajs-2291	104	3	shows	show	VERB
iajs-2291	104	4	that	that	SCONJ
iajs-2291	104	5	the	the	DET
iajs-2291	104	6	axial	axial	ADJ
iajs-2291	104	7	velocity	velocity	NOUN
iajs-2291	104	8	profile	profile	NOUN
iajs-2291	104	9	is	be	AUX
iajs-2291	104	10	not	not	PART
iajs-2291	104	11	symmetric	symmetric	ADJ
iajs-2291	104	12	at	at	ADP
iajs-2291	104	13	the	the	DET
iajs-2291	104	14	central	central	ADJ
iajs-2291	104	15	line	line	NOUN
iajs-2291	104	16	of	of	ADP
iajs-2291	104	17	the	the	DET
iajs-2291	104	18	channel	channel	NOUN
iajs-2291	104	19	𝜂	𝜂	NOUN
iajs-2291	104	20	=	=	SYM
iajs-2291	104	21	0	0	NUM
iajs-2291	104	22	and	and	CCONJ
iajs-2291	104	23	the	the	DET
iajs-2291	104	24	axial	axial	ADJ
iajs-2291	104	25	velocity	velocity	NOUN
iajs-2291	104	26	profile	profile	NOUN
iajs-2291	104	27	attains	attain	VERB
iajs-2291	104	28	its	its	PRON
iajs-2291	104	29	maximal	maximal	ADJ
iajs-2291	104	30	at	at	ADP
iajs-2291	104	31	the	the	DET
iajs-2291	104	32	beginning	beginning	NOUN
iajs-2291	104	33	of	of	ADP
iajs-2291	104	34	the	the	DET
iajs-2291	104	35	channel	channel	NOUN
iajs-2291	104	36	.	.	PUNCT
iajs-2291	105	1	figure	figure	NOUN
iajs-2291	105	2	5	5	NUM
iajs-2291	105	3	.	.	PUNCT
iajs-2291	105	4	portrays	portray	VERB
iajs-2291	105	5	that	that	PRON
iajs-2291	105	6	for	for	ADP
iajs-2291	105	7	ascending	ascend	VERB
iajs-2291	105	8	values	value	NOUN
iajs-2291	105	9	of	of	ADP
iajs-2291	105	10	the	the	DET
iajs-2291	105	11	flow	flow	NOUN
iajs-2291	105	12	rate	rate	NOUN
iajs-2291	105	13	the	the	DET
iajs-2291	105	14	axial	axial	ADJ
iajs-2291	105	15	velocity	velocity	NOUN
iajs-2291	105	16	profile	profile	NOUN
iajs-2291	105	17	increases	increase	VERB
iajs-2291	105	18	in	in	ADP
iajs-2291	105	19	the	the	DET
iajs-2291	105	20	central	central	ADJ
iajs-2291	105	21	part	part	NOUN
iajs-2291	105	22	of	of	ADP
iajs-2291	105	23	the	the	DET
iajs-2291	105	24	channel	channel	NOUN
iajs-2291	105	25	and	and	CCONJ
iajs-2291	105	26	decreases	decrease	VERB
iajs-2291	105	27	at	at	ADP
iajs-2291	105	28	the	the	DET
iajs-2291	105	29	wall	wall	NOUN
iajs-2291	105	30	of	of	ADP
iajs-2291	105	31	the	the	DET
iajs-2291	105	32	channel	channel	NOUN
iajs-2291	105	33	.	.	PUNCT
iajs-2291	106	1	ibn	ibn	PROPN
iajs-2291	106	2	al	al	PROPN
iajs-2291	106	3	-	-	PUNCT
iajs-2291	106	4	haitham	haitham	PROPN
iajs-2291	106	5	jour	jour	X
iajs-2291	106	6	.	.	PROPN
iajs-2291	106	7	for	for	ADP
iajs-2291	106	8	pure	pure	ADJ
iajs-2291	106	9	&	&	CCONJ
iajs-2291	106	10	appl	appl	PROPN
iajs-2291	106	11	.	.	PUNCT
iajs-2291	107	1	sci	sci	PROPN
iajs-2291	107	2	.	.	PROPN
iajs-2291	107	3	32	32	NUM
iajs-2291	107	4	(	(	PUNCT
iajs-2291	107	5	3	3	NUM
iajs-2291	107	6	)	)	PUNCT
iajs-2291	107	7	2019	2019	NUM
iajs-2291	107	8	146	146	NUM
iajs-2291	107	9	figure	figure	NOUN
iajs-2291	107	10	2.the	2.the	DET
iajs-2291	107	11	velocity	velocity	NOUN
iajs-2291	107	12	profile	profile	NOUN
iajs-2291	107	13	for	for	ADP
iajs-2291	107	14	fixed	fix	VERB
iajs-2291	107	15	values	value	NOUN
iajs-2291	107	16	of	of	ADP
iajs-2291	107	17	𝜙	𝜙	NOUN
iajs-2291	107	18	=	=	SYM
iajs-2291	107	19	0.75	0.75	NUM
iajs-2291	107	20	,	,	PUNCT
iajs-2291	107	21	f	f	PROPN
iajs-2291	107	22	=	=	SYM
iajs-2291	107	23	1.5	1.5	NUM
iajs-2291	107	24	.	.	PUNCT
iajs-2291	108	1	figure	figure	VERB
iajs-2291	108	2	3.the	3.the	DET
iajs-2291	108	3	velocity	velocity	NOUN
iajs-2291	108	4	profile	profile	NOUN
iajs-2291	108	5	for	for	ADP
iajs-2291	108	6	fixed	fix	VERB
iajs-2291	108	7	values	value	NOUN
iajs-2291	108	8	of	of	ADP
iajs-2291	108	9	𝜙	𝜙	NOUN
iajs-2291	108	10	=	=	SYM
iajs-2291	108	11	0.75	0.75	NUM
iajs-2291	108	12	,	,	PUNCT
iajs-2291	108	13	f	f	PROPN
iajs-2291	108	14	=	=	SYM
iajs-2291	108	15	1.5	1.5	NUM
iajs-2291	108	16	.	.	PUNCT
iajs-2291	109	1	figure	figure	VERB
iajs-2291	109	2	4.the	4.the	DET
iajs-2291	109	3	velocity	velocity	NOUN
iajs-2291	109	4	profile	profile	NOUN
iajs-2291	109	5	for	for	ADP
iajs-2291	109	6	fixed	fix	VERB
iajs-2291	109	7	values	value	NOUN
iajs-2291	109	8	of	of	ADP
iajs-2291	109	9	𝑘	𝑘	NOUN
iajs-2291	109	10	=	=	SYM
iajs-2291	109	11	5	5	NUM
iajs-2291	109	12	,	,	PUNCT
iajs-2291	109	13	f	f	NOUN
iajs-2291	109	14	=	=	SYM
iajs-2291	109	15	1.5	1.5	NUM
iajs-2291	109	16	.	.	PUNCT
iajs-2291	110	1	figure	figure	VERB
iajs-2291	110	2	5.the	5.the	DET
iajs-2291	110	3	velocity	velocity	NOUN
iajs-2291	110	4	profile	profile	NOUN
iajs-2291	110	5	for	for	ADP
iajs-2291	110	6	fixed	fix	VERB
iajs-2291	110	7	values	value	NOUN
iajs-2291	110	8	of	of	ADP
iajs-2291	110	9	𝑘	𝑘	NOUN
iajs-2291	110	10	=	=	SYM
iajs-2291	110	11	5	5	NUM
iajs-2291	110	12	,	,	PUNCT
iajs-2291	110	13	𝜙	𝜙	NOUN
iajs-2291	110	14	=	=	NOUN
iajs-2291	110	15	0.75	0.75	NUM
iajs-2291	110	16	.	.	PUNCT
iajs-2291	111	1	4.2	4.2	NUM
iajs-2291	111	2	the	the	DET
iajs-2291	111	3	local	local	ADJ
iajs-2291	111	4	shear	shear	NOUN
iajs-2291	111	5	stress	stress	NOUN
iajs-2291	111	6	in	in	ADP
iajs-2291	111	7	this	this	DET
iajs-2291	111	8	subsection	subsection	NOUN
iajs-2291	111	9	,	,	PUNCT
iajs-2291	111	10	the	the	DET
iajs-2291	111	11	discussions	discussion	NOUN
iajs-2291	111	12	of	of	ADP
iajs-2291	111	13	the	the	DET
iajs-2291	111	14	influence	influence	NOUN
iajs-2291	111	15	of	of	ADP
iajs-2291	111	16	the	the	DET
iajs-2291	111	17	different	different	ADJ
iajs-2291	111	18	parameters	parameter	NOUN
iajs-2291	111	19	on	on	ADP
iajs-2291	111	20	the	the	DET
iajs-2291	111	21	local	local	ADJ
iajs-2291	111	22	shear	shear	NOUN
iajs-2291	111	23	stress	stress	NOUN
iajs-2291	111	24	were	be	AUX
iajs-2291	111	25	investigated	investigate	VERB
iajs-2291	111	26	.	.	PUNCT
iajs-2291	112	1	figure	figure	VERB
iajs-2291	112	2	6	6	NUM
iajs-2291	112	3	.	.	PUNCT
iajs-2291	113	1	discusses	discuss	VERB
iajs-2291	113	2	the	the	DET
iajs-2291	113	3	variation	variation	NOUN
iajs-2291	113	4	of	of	ADP
iajs-2291	113	5	𝑘	𝑘	PRON
iajs-2291	113	6	on	on	ADP
iajs-2291	113	7	the	the	DET
iajs-2291	113	8	magnitude	magnitude	NOUN
iajs-2291	113	9	of	of	ADP
iajs-2291	113	10	shear	shear	NOUN
iajs-2291	113	11	stress	stress	NOUN
iajs-2291	113	12	.	.	PUNCT
iajs-2291	114	1	it	it	PRON
iajs-2291	114	2	shows	show	VERB
iajs-2291	114	3	that	that	SCONJ
iajs-2291	114	4	the	the	DET
iajs-2291	114	5	shear	shear	NOUN
iajs-2291	114	6	stress	stress	NOUN
iajs-2291	114	7	increases	increase	VERB
iajs-2291	114	8	in	in	ADP
iajs-2291	114	9	the	the	DET
iajs-2291	114	10	whole	whole	ADJ
iajs-2291	114	11	channel	channel	NOUN
iajs-2291	114	12	specially	specially	ADV
iajs-2291	114	13	at	at	ADP
iajs-2291	114	14	the	the	DET
iajs-2291	114	15	central	central	ADJ
iajs-2291	114	16	part	part	NOUN
iajs-2291	114	17	of	of	ADP
iajs-2291	114	18	the	the	DET
iajs-2291	114	19	channel	channel	NOUN
iajs-2291	114	20	with	with	ADP
iajs-2291	114	21	an	an	DET
iajs-2291	114	22	increase	increase	NOUN
iajs-2291	114	23	of	of	ADP
iajs-2291	114	24	𝑘.	𝑘.	NOUN
iajs-2291	114	25	however	however	ADV
iajs-2291	114	26	the	the	DET
iajs-2291	114	27	shear	shear	NOUN
iajs-2291	114	28	stress	stress	NOUN
iajs-2291	114	29	stops	stop	VERB
iajs-2291	114	30	increasing	increase	VERB
iajs-2291	114	31	and	and	CCONJ
iajs-2291	114	32	fixed	fix	VERB
iajs-2291	114	33	for	for	ADP
iajs-2291	114	34	large	large	ADJ
iajs-2291	114	35	values	value	NOUN
iajs-2291	114	36	of	of	ADP
iajs-2291	114	37	𝑘	𝑘	PRON
iajs-2291	114	38	as	as	SCONJ
iajs-2291	114	39	it	it	PRON
iajs-2291	114	40	is	be	AUX
iajs-2291	114	41	shown	show	VERB
iajs-2291	114	42	in	in	ADP
iajs-2291	114	43	figure	figure	NOUN
iajs-2291	114	44	7	7	NUM
iajs-2291	114	45	.	.	PUNCT
iajs-2291	114	46	figure	figure	NOUN
iajs-2291	114	47	8	8	NUM
iajs-2291	114	48	.	.	PUNCT
iajs-2291	114	49	exhibits	exhibit	VERB
iajs-2291	114	50	the	the	DET
iajs-2291	114	51	effect	effect	NOUN
iajs-2291	114	52	of	of	ADP
iajs-2291	114	53	an	an	DET
iajs-2291	114	54	increase	increase	NOUN
iajs-2291	114	55	of	of	ADP
iajs-2291	114	56	𝜙	𝜙	NOUN
iajs-2291	114	57	on	on	ADP
iajs-2291	114	58	the	the	DET
iajs-2291	114	59	shear	shear	NOUN
iajs-2291	114	60	stress	stress	NOUN
iajs-2291	114	61	.	.	PUNCT
iajs-2291	115	1	it	it	PRON
iajs-2291	115	2	is	be	AUX
iajs-2291	115	3	shown	show	VERB
iajs-2291	115	4	that	that	SCONJ
iajs-2291	115	5	when	when	SCONJ
iajs-2291	115	6	𝜙	𝜙	PROPN
iajs-2291	115	7	increases	increase	VERB
iajs-2291	115	8	the	the	DET
iajs-2291	115	9	magnitude	magnitude	NOUN
iajs-2291	115	10	of	of	ADP
iajs-2291	115	11	shear	shear	NOUN
iajs-2291	115	12	stress	stress	NOUN
iajs-2291	115	13	decreases	decrease	VERB
iajs-2291	115	14	in	in	ADP
iajs-2291	115	15	(	(	PUNCT
iajs-2291	115	16	𝑥	𝑥	NOUN
iajs-2291	115	17	<	<	X
iajs-2291	115	18	0	0	NUM
iajs-2291	115	19	and	and	CCONJ
iajs-2291	115	20	𝑥	𝑥	X
iajs-2291	115	21	>	>	X
iajs-2291	115	22	3	3	NUM
iajs-2291	115	23	)	)	PUNCT
iajs-2291	115	24	and	and	CCONJ
iajs-2291	115	25	for	for	ADP
iajs-2291	115	26	0	0	NUM
iajs-2291	115	27	≤	≤	NUM
iajs-2291	115	28	𝑥	𝑥	DET
iajs-2291	115	29	≤	≤	NUM
iajs-2291	115	30	3	3	NUM
iajs-2291	115	31	the	the	DET
iajs-2291	115	32	magnitude	magnitude	NOUN
iajs-2291	115	33	of	of	ADP
iajs-2291	115	34	shear	shear	NOUN
iajs-2291	115	35	stress	stress	NOUN
iajs-2291	115	36	increases	increase	NOUN
iajs-2291	115	37	.	.	PUNCT
iajs-2291	116	1	figure	figure	VERB
iajs-2291	116	2	9	9	NUM
iajs-2291	116	3	.	.	PUNCT
iajs-2291	116	4	deduced	deduce	VERB
iajs-2291	116	5	that	that	SCONJ
iajs-2291	116	6	for	for	ADP
iajs-2291	116	7	large	large	ADJ
iajs-2291	116	8	values	value	NOUN
iajs-2291	116	9	of	of	ADP
iajs-2291	116	10	the	the	DET
iajs-2291	116	11	flow	flow	NOUN
iajs-2291	116	12	rate	rate	NOUN
iajs-2291	116	13	𝐹	𝐹	PROPN
iajs-2291	116	14	the	the	DET
iajs-2291	116	15	shear	shear	NOUN
iajs-2291	116	16	stress	stress	NOUN
iajs-2291	116	17	is	be	AUX
iajs-2291	116	18	decreasing	decrease	VERB
iajs-2291	116	19	function	function	NOUN
iajs-2291	116	20	in	in	ADP
iajs-2291	116	21	the	the	DET
iajs-2291	116	22	whole	whole	ADJ
iajs-2291	116	23	channel	channel	NOUN
iajs-2291	116	24	.	.	PUNCT
iajs-2291	117	1	figure	figure	NOUN
iajs-2291	117	2	10	10	NUM
iajs-2291	117	3	.	.	PUNCT
iajs-2291	117	4	displays	display	VERB
iajs-2291	117	5	the	the	DET
iajs-2291	117	6	impact	impact	NOUN
iajs-2291	117	7	of	of	ADP
iajs-2291	117	8	bingham	bingham	PROPN
iajs-2291	117	9	fluid	fluid	ADJ
iajs-2291	117	10	number	number	NOUN
iajs-2291	117	11	on	on	ADP
iajs-2291	117	12	the	the	DET
iajs-2291	117	13	shear	shear	NOUN
iajs-2291	117	14	stress	stress	NOUN
iajs-2291	117	15	.	.	PUNCT
iajs-2291	118	1	it	it	PRON
iajs-2291	118	2	is	be	AUX
iajs-2291	118	3	noticed	notice	VERB
iajs-2291	118	4	that	that	SCONJ
iajs-2291	118	5	the	the	DET
iajs-2291	118	6	shear	shear	NOUN
iajs-2291	118	7	stress	stress	NOUN
iajs-2291	118	8	is	be	AUX
iajs-2291	118	9	an	an	DET
iajs-2291	118	10	increasing	increase	VERB
iajs-2291	118	11	function	function	NOUN
iajs-2291	118	12	to	to	ADP
iajs-2291	118	13	the	the	DET
iajs-2291	118	14	increase	increase	NOUN
iajs-2291	118	15	of	of	ADP
iajs-2291	118	16	bingham	bingham	PROPN
iajs-2291	118	17	fluid	fluid	NOUN
iajs-2291	118	18	number	number	NOUN
iajs-2291	118	19	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	118	20	.	.	PUNCT
iajs-2291	119	1	figure	figure	VERB
iajs-2291	119	2	7	7	NUM
iajs-2291	119	3	.	.	PUNCT
iajs-2291	120	1	the	the	DET
iajs-2291	120	2	shear	shear	NOUN
iajs-2291	120	3	stress	stress	NOUN
iajs-2291	120	4	for	for	ADP
iajs-2291	120	5	fixed	fix	VERB
iajs-2291	120	6	values	value	NOUN
iajs-2291	120	7	[	[	PUNCT
iajs-2291	120	8	𝜂	𝜂	NOUN
iajs-2291	120	9	=	=	SYM
iajs-2291	120	10	0.5	0.5	NUM
iajs-2291	120	11	,	,	PUNCT
iajs-2291	120	12	𝜙	𝜙	NOUN
iajs-2291	120	13	=	=	SYM
iajs-2291	120	14	0.5	0.5	NUM
iajs-2291	120	15	,	,	PUNCT
iajs-2291	120	16	f	f	PROPN
iajs-2291	120	17	=	=	SYM
iajs-2291	120	18	1.5	1.5	NUM
iajs-2291	120	19	,	,	PUNCT
iajs-2291	120	20	bn	bn	NOUN
iajs-2291	120	21	=	=	SYM
iajs-2291	120	22	5	5	NUM
iajs-2291	120	23	]	]	PUNCT
iajs-2291	120	24	.	.	PUNCT
iajs-2291	121	1	figure	figure	NOUN
iajs-2291	121	2	6	6	NUM
iajs-2291	121	3	.	.	PUNCT
iajs-2291	122	1	the	the	DET
iajs-2291	122	2	shear	shear	NOUN
iajs-2291	122	3	stress	stress	NOUN
iajs-2291	122	4	for	for	ADP
iajs-2291	122	5	fixed	fix	VERB
iajs-2291	122	6	values	value	NOUN
iajs-2291	122	7	[	[	PUNCT
iajs-2291	122	8	𝜂	𝜂	NOUN
iajs-2291	122	9	=	=	SYM
iajs-2291	122	10	0.5	0.5	NUM
iajs-2291	122	11	,	,	PUNCT
iajs-2291	122	12	𝜙	𝜙	NOUN
iajs-2291	122	13	=	=	SYM
iajs-2291	122	14	0.5	0.5	NUM
iajs-2291	122	15	,	,	PUNCT
iajs-2291	122	16	f	f	PROPN
iajs-2291	122	17	=	=	SYM
iajs-2291	122	18	1.5	1.5	NUM
iajs-2291	122	19	,	,	PUNCT
iajs-2291	122	20	bn	bn	NOUN
iajs-2291	122	21	=	=	SYM
iajs-2291	122	22	5	5	NUM
iajs-2291	122	23	]	]	PUNCT
iajs-2291	122	24	.	.	PUNCT
iajs-2291	123	1	k	k	PROPN
iajs-2291	124	1	2	2	NUM
iajs-2291	124	2	k	k	SYM
iajs-2291	124	3	5	5	NUM
iajs-2291	124	4	k	k	NOUN
iajs-2291	124	5	10	10	NUM
iajs-2291	124	6	2	2	NUM
iajs-2291	124	7	1	1	NUM
iajs-2291	124	8	0	0	NUM
iajs-2291	124	9	1	1	NUM
iajs-2291	124	10	2	2	NUM
iajs-2291	124	11	2	2	NUM
iajs-2291	124	12	1	1	NUM
iajs-2291	124	13	0	0	NUM
iajs-2291	124	14	1	1	NUM
iajs-2291	124	15	u	u	NOUN
iajs-2291	124	16	k	k	PROPN
iajs-2291	124	17	100	100	NUM
iajs-2291	124	18	k	k	NOUN
iajs-2291	124	19	200	200	NUM
iajs-2291	124	20	k	k	NOUN
iajs-2291	124	21	300	300	NUM
iajs-2291	124	22	2	2	NUM
iajs-2291	124	23	1	1	NUM
iajs-2291	124	24	0	0	NUM
iajs-2291	124	25	1	1	NUM
iajs-2291	124	26	2	2	NUM
iajs-2291	124	27	1.5	1.5	NUM
iajs-2291	124	28	1.0	1.0	NUM
iajs-2291	124	29	0.5	0.5	NUM
iajs-2291	124	30	0.0	0.0	NUM
iajs-2291	124	31	0.5	0.5	NUM
iajs-2291	124	32	1.0	1.0	NUM
iajs-2291	124	33	u	u	NOUN
iajs-2291	124	34	0.5	0.5	NUM
iajs-2291	124	35	0.75	0.75	NUM
iajs-2291	124	36	1	1	NUM
iajs-2291	124	37	2	2	NUM
iajs-2291	124	38	1	1	NUM
iajs-2291	124	39	0	0	NUM
iajs-2291	124	40	1	1	NUM
iajs-2291	124	41	2	2	NUM
iajs-2291	124	42	1.5	1.5	NUM
iajs-2291	124	43	1.0	1.0	NUM
iajs-2291	124	44	0.5	0.5	NUM
iajs-2291	124	45	0.0	0.0	NUM
iajs-2291	124	46	0.5	0.5	NUM
iajs-2291	124	47	1.0	1.0	NUM
iajs-2291	124	48	u	u	NOUN
iajs-2291	124	49	f	f	PROPN
iajs-2291	124	50	1	1	NUM
iajs-2291	124	51	f	f	PROPN
iajs-2291	124	52	1.5	1.5	NUM
iajs-2291	124	53	f	f	NOUN
iajs-2291	124	54	2	2	NUM
iajs-2291	124	55	2	2	NUM
iajs-2291	124	56	1	1	NUM
iajs-2291	124	57	0	0	NUM
iajs-2291	124	58	1	1	NUM
iajs-2291	124	59	2	2	NUM
iajs-2291	124	60	4	4	NUM
iajs-2291	124	61	3	3	NUM
iajs-2291	124	62	2	2	NUM
iajs-2291	124	63	1	1	NUM
iajs-2291	124	64	0	0	NUM
iajs-2291	124	65	1	1	NUM
iajs-2291	124	66	2	2	NUM
iajs-2291	124	67	u	u	NOUN
iajs-2291	124	68	k	k	PROPN
iajs-2291	124	69	100	100	NUM
iajs-2291	124	70	k	k	NOUN
iajs-2291	124	71	150	150	NUM
iajs-2291	124	72	k	k	NOUN
iajs-2291	124	73	200	200	NUM
iajs-2291	124	74	1	1	NUM
iajs-2291	124	75	0	0	NUM
iajs-2291	124	76	1	1	NUM
iajs-2291	124	77	2	2	NUM
iajs-2291	124	78	3	3	NUM
iajs-2291	124	79	4	4	NUM
iajs-2291	124	80	6	6	NUM
iajs-2291	124	81	4	4	NUM
iajs-2291	124	82	2	2	NUM
iajs-2291	124	83	0	0	NUM
iajs-2291	124	84	2	2	NUM
iajs-2291	124	85	x	x	SYM
iajs-2291	124	86	x	x	SYM
iajs-2291	124	87	k	k	NOUN
iajs-2291	124	88	5	5	NUM
iajs-2291	124	89	k	k	NOUN
iajs-2291	124	90	10	10	NUM
iajs-2291	124	91	k	k	NOUN
iajs-2291	124	92	15	15	NUM
iajs-2291	124	93	1	1	NUM
iajs-2291	124	94	0	0	NUM
iajs-2291	124	95	1	1	NUM
iajs-2291	124	96	2	2	NUM
iajs-2291	124	97	3	3	NUM
iajs-2291	124	98	4	4	NUM
iajs-2291	124	99	6	6	NUM
iajs-2291	124	100	4	4	NUM
iajs-2291	124	101	2	2	NUM
iajs-2291	124	102	0	0	NUM
iajs-2291	124	103	2	2	NUM
iajs-2291	124	104	x	x	SYM
iajs-2291	124	105	x	x	X
iajs-2291	124	106	ibn	ibn	PROPN
iajs-2291	124	107	al	al	PROPN
iajs-2291	124	108	-	-	PUNCT
iajs-2291	124	109	haitham	haitham	PROPN
iajs-2291	124	110	jour	jour	X
iajs-2291	124	111	.	.	PROPN
iajs-2291	124	112	for	for	ADP
iajs-2291	124	113	pure	pure	ADJ
iajs-2291	124	114	&	&	CCONJ
iajs-2291	124	115	appl	appl	PROPN
iajs-2291	124	116	.	.	PUNCT
iajs-2291	125	1	sci	sci	PROPN
iajs-2291	125	2	.	.	PROPN
iajs-2291	125	3	32	32	NUM
iajs-2291	125	4	(	(	PUNCT
iajs-2291	125	5	3	3	NUM
iajs-2291	125	6	)	)	PUNCT
iajs-2291	125	7	2019	2019	NUM
iajs-2291	125	8	147	147	NUM
iajs-2291	125	9	figure	figure	NOUN
iajs-2291	125	10	9.the	9.the	PRON
iajs-2291	125	11	shear	shear	NOUN
iajs-2291	125	12	stress	stress	NOUN
iajs-2291	125	13	for	for	ADP
iajs-2291	125	14	fixed	fix	VERB
iajs-2291	125	15	values	value	NOUN
iajs-2291	125	16	[	[	PUNCT
iajs-2291	125	17	𝜂	𝜂	NOUN
iajs-2291	125	18	=	=	SYM
iajs-2291	125	19	0.5	0.5	NUM
iajs-2291	125	20	,	,	PUNCT
iajs-2291	125	21	𝑘	𝑘	X
iajs-2291	125	22	=	=	SYM
iajs-2291	125	23	5	5	NUM
iajs-2291	125	24	,	,	PUNCT
iajs-2291	125	25	𝜙	𝜙	NOUN
iajs-2291	125	26	=	=	SYM
iajs-2291	125	27	0.5	0.5	NUM
iajs-2291	125	28	,	,	PUNCT
iajs-2291	125	29	bn	bn	NOUN
iajs-2291	125	30	=	=	SYM
iajs-2291	125	31	5	5	NUM
iajs-2291	125	32	]	]	PUNCT
iajs-2291	125	33	.	.	PUNCT
iajs-2291	126	1	figure	figure	NOUN
iajs-2291	126	2	8	8	NUM
iajs-2291	126	3	.	.	PUNCT
iajs-2291	127	1	the	the	DET
iajs-2291	127	2	shear	shear	NOUN
iajs-2291	127	3	stress	stress	NOUN
iajs-2291	127	4	for	for	ADP
iajs-2291	127	5	fixed	fix	VERB
iajs-2291	127	6	values	value	NOUN
iajs-2291	127	7	[	[	PUNCT
iajs-2291	127	8	𝜂	𝜂	NOUN
iajs-2291	127	9	=	=	SYM
iajs-2291	127	10	0.5	0.5	NUM
iajs-2291	127	11	,	,	PUNCT
iajs-2291	127	12	𝑘	𝑘	X
iajs-2291	127	13	=	=	SYM
iajs-2291	127	14	5	5	NUM
iajs-2291	127	15	,	,	PUNCT
iajs-2291	127	16	f	f	NOUN
iajs-2291	127	17	=	=	SYM
iajs-2291	127	18	1.5	1.5	NUM
iajs-2291	127	19	,	,	PUNCT
iajs-2291	127	20	bn	bn	NOUN
iajs-2291	127	21	=	=	SYM
iajs-2291	127	22	5	5	NUM
iajs-2291	127	23	]	]	PUNCT
iajs-2291	127	24	.	.	PUNCT
iajs-2291	128	1	figure	figure	NOUN
iajs-2291	128	2	10	10	NUM
iajs-2291	128	3	.	.	PUNCT
iajs-2291	129	1	the	the	DET
iajs-2291	129	2	shear	shear	NOUN
iajs-2291	129	3	stress	stress	NOUN
iajs-2291	129	4	for	for	ADP
iajs-2291	129	5	fixed	fix	VERB
iajs-2291	129	6	values	value	NOUN
iajs-2291	129	7	[	[	PUNCT
iajs-2291	129	8	𝜂	𝜂	NOUN
iajs-2291	129	9	=	=	SYM
iajs-2291	129	10	0.5	0.5	NUM
iajs-2291	129	11	,	,	PUNCT
iajs-2291	129	12	𝑘	𝑘	X
iajs-2291	129	13	=	=	SYM
iajs-2291	129	14	5	5	NUM
iajs-2291	129	15	,	,	PUNCT
iajs-2291	129	16	𝜙	𝜙	NOUN
iajs-2291	129	17	=	=	SYM
iajs-2291	129	18	0.5	0.5	NUM
iajs-2291	129	19	,	,	PUNCT
iajs-2291	129	20	f	f	PROPN
iajs-2291	129	21	=	=	SYM
iajs-2291	129	22	1.5	1.5	NUM
iajs-2291	129	23	]	]	PUNCT
iajs-2291	129	24	.	.	PUNCT
iajs-2291	130	1	4.3	4.3	NUM
iajs-2291	130	2	the	the	DET
iajs-2291	130	3	pressure	pressure	NOUN
iajs-2291	130	4	gradient	gradient	NOUN
iajs-2291	130	5	(	(	PUNCT
iajs-2291	130	6	𝒅𝒑	𝒅𝒑	ADV
iajs-2291	130	7	𝒅𝒙	𝒅𝒙	NOUN
iajs-2291	130	8	)	)	PUNCT
iajs-2291	130	9	in	in	ADP
iajs-2291	130	10	this	this	DET
iajs-2291	130	11	section	section	NOUN
iajs-2291	130	12	the	the	DET
iajs-2291	130	13	effect	effect	NOUN
iajs-2291	130	14	of	of	ADP
iajs-2291	130	15	the	the	DET
iajs-2291	130	16	variation	variation	NOUN
iajs-2291	130	17	of	of	ADP
iajs-2291	130	18	different	different	ADJ
iajs-2291	130	19	parameters	parameter	NOUN
iajs-2291	130	20	on	on	ADP
iajs-2291	130	21	the	the	DET
iajs-2291	130	22	pressure	pressure	NOUN
iajs-2291	130	23	gradient	gradient	NOUN
iajs-2291	130	24	is	be	AUX
iajs-2291	130	25	recorded	record	VERB
iajs-2291	130	26	in	in	ADP
iajs-2291	130	27	the	the	DET
iajs-2291	130	28	following	follow	VERB
iajs-2291	130	29	plots	plot	NOUN
iajs-2291	130	30	.	.	PUNCT
iajs-2291	131	1	figure	figure	VERB
iajs-2291	131	2	11	11	NUM
iajs-2291	131	3	.	.	PUNCT
iajs-2291	132	1	demonstrates	demonstrate	VERB
iajs-2291	132	2	that	that	SCONJ
iajs-2291	132	3	an	an	DET
iajs-2291	132	4	increase	increase	NOUN
iajs-2291	132	5	in	in	ADP
iajs-2291	132	6	the	the	DET
iajs-2291	132	7	value	value	NOUN
iajs-2291	132	8	of	of	ADP
iajs-2291	132	9	𝑘	𝑘	PRON
iajs-2291	132	10	increases	increase	VERB
iajs-2291	132	11	the	the	DET
iajs-2291	132	12	pressure	pressure	NOUN
iajs-2291	132	13	gradient	gradient	NOUN
iajs-2291	132	14	curves	curve	NOUN
iajs-2291	132	15	.the	.the	PRON
iajs-2291	132	16	interesting	interesting	ADJ
iajs-2291	132	17	feature	feature	VERB
iajs-2291	132	18	the	the	DET
iajs-2291	132	19	pressure	pressure	NOUN
iajs-2291	132	20	gradient	gradient	NOUN
iajs-2291	132	21	stops	stop	VERB
iajs-2291	132	22	increasing	increase	VERB
iajs-2291	132	23	and	and	CCONJ
iajs-2291	132	24	fixed	fix	VERB
iajs-2291	132	25	for	for	ADP
iajs-2291	132	26	large	large	ADJ
iajs-2291	132	27	values	value	NOUN
iajs-2291	132	28	of	of	ADP
iajs-2291	132	29	𝑘.	𝑘.	ADJ
iajs-2291	132	30	figure	figure	NOUN
iajs-2291	132	31	12	12	NUM
iajs-2291	132	32	.	.	PUNCT
iajs-2291	133	1	portrays	portray	VERB
iajs-2291	133	2	that	that	PRON
iajs-2291	133	3	for	for	ADP
iajs-2291	133	4	ascending	ascend	VERB
iajs-2291	133	5	values	value	NOUN
iajs-2291	133	6	of	of	ADP
iajs-2291	133	7	flow	flow	NOUN
iajs-2291	133	8	rate	rate	NOUN
iajs-2291	133	9	the	the	DET
iajs-2291	133	10	pressure	pressure	NOUN
iajs-2291	133	11	gradient	gradient	NOUN
iajs-2291	133	12	is	be	AUX
iajs-2291	133	13	decreasing	decrease	VERB
iajs-2291	133	14	function	function	NOUN
iajs-2291	133	15	.	.	PUNCT
iajs-2291	134	1	figure	figure	NOUN
iajs-2291	134	2	13	13	NUM
iajs-2291	134	3	.	.	PUNCT
iajs-2291	135	1	illustrates	illustrate	VERB
iajs-2291	135	2	the	the	DET
iajs-2291	135	3	effect	effect	NOUN
iajs-2291	135	4	of	of	ADP
iajs-2291	135	5	amplitude	amplitude	NOUN
iajs-2291	135	6	ratio	ratio	NOUN
iajs-2291	135	7	parameter	parameter	NOUN
iajs-2291	135	8	(	(	PUNCT
iajs-2291	135	9	𝜙	𝜙	NOUN
iajs-2291	135	10	)	)	PUNCT
iajs-2291	135	11	on	on	ADP
iajs-2291	135	12	the	the	DET
iajs-2291	135	13	pressure	pressure	NOUN
iajs-2291	135	14	gradient	gradient	NOUN
iajs-2291	135	15	curves	curve	NOUN
iajs-2291	135	16	,	,	PUNCT
iajs-2291	135	17	when	when	SCONJ
iajs-2291	135	18	𝜙	𝜙	PRON
iajs-2291	135	19	increase	increase	VERB
iajs-2291	135	20	the	the	DET
iajs-2291	135	21	amounts	amount	NOUN
iajs-2291	135	22	of	of	ADP
iajs-2291	135	23	pressure	pressure	NOUN
iajs-2291	135	24	gradient	gradient	NOUN
iajs-2291	135	25	decreases	decrease	VERB
iajs-2291	135	26	at	at	ADP
iajs-2291	135	27	3	3	NUM
iajs-2291	135	28	<	<	NOUN
iajs-2291	135	29	𝑥	𝑥	X
iajs-2291	135	30	≤	≤	NUM
iajs-2291	135	31	5	5	NUM
iajs-2291	135	32	and	and	CCONJ
iajs-2291	135	33	increase	increase	VERB
iajs-2291	135	34	at	at	ADP
iajs-2291	135	35	the	the	DET
iajs-2291	135	36	central	central	ADJ
iajs-2291	135	37	part	part	NOUN
iajs-2291	135	38	of	of	ADP
iajs-2291	135	39	the	the	DET
iajs-2291	135	40	channel	channel	NOUN
iajs-2291	135	41	.	.	PUNCT
iajs-2291	136	1	figure	figure	NOUN
iajs-2291	136	2	14	14	NUM
iajs-2291	136	3	.	.	PUNCT
iajs-2291	137	1	describes	describe	VERB
iajs-2291	137	2	the	the	DET
iajs-2291	137	3	effect	effect	NOUN
iajs-2291	137	4	of	of	ADP
iajs-2291	137	5	increasing	increase	VERB
iajs-2291	137	6	the	the	DET
iajs-2291	137	7	value	value	NOUN
iajs-2291	137	8	of	of	ADP
iajs-2291	137	9	bingham	bingham	PROPN
iajs-2291	137	10	number	number	NOUN
iajs-2291	137	11	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	137	12	on	on	ADP
iajs-2291	137	13	the	the	DET
iajs-2291	137	14	pressure	pressure	NOUN
iajs-2291	137	15	gradient	gradient	NOUN
iajs-2291	137	16	.	.	PUNCT
iajs-2291	138	1	it	it	PRON
iajs-2291	138	2	shows	show	VERB
iajs-2291	138	3	that	that	SCONJ
iajs-2291	138	4	the	the	DET
iajs-2291	138	5	pressure	pressure	NOUN
iajs-2291	138	6	gradient	gradient	NOUN
iajs-2291	138	7	(	(	PUNCT
iajs-2291	138	8	𝑑𝑝	𝑑𝑝	ADV
iajs-2291	138	9	𝑑𝑥	𝑑𝑥	AUX
iajs-2291	138	10	)	)	PUNCT
iajs-2291	138	11	is	be	AUX
iajs-2291	138	12	decreasing	decrease	VERB
iajs-2291	138	13	function	function	NOUN
iajs-2291	138	14	for	for	ADP
iajs-2291	138	15	the	the	DET
iajs-2291	138	16	increase	increase	NOUN
iajs-2291	138	17	of	of	ADP
iajs-2291	138	18	𝐵𝑛.	𝐵𝑛.	PROPN
iajs-2291	138	19	figure	figure	NOUN
iajs-2291	138	20	11	11	NUM
iajs-2291	138	21	.	.	PUNCT
iajs-2291	139	1	the	the	DET
iajs-2291	139	2	pressure	pressure	NOUN
iajs-2291	139	3	gradient	gradient	NOUN
iajs-2291	139	4	for	for	ADP
iajs-2291	139	5	fixed	fix	VERB
iajs-2291	139	6	values	value	NOUN
iajs-2291	139	7	[	[	X
iajs-2291	139	8	𝜂	𝜂	X
iajs-2291	139	9	=	=	SYM
iajs-2291	139	10	0.5	0.5	NUM
iajs-2291	139	11	,	,	PUNCT
iajs-2291	139	12	f	f	PROPN
iajs-2291	139	13	=	=	SYM
iajs-2291	139	14	1	1	NUM
iajs-2291	139	15	,	,	PUNCT
iajs-2291	139	16	𝜙	𝜙	NOUN
iajs-2291	139	17	=	=	SYM
iajs-2291	139	18	0.5	0.5	NUM
iajs-2291	139	19	,	,	PUNCT
iajs-2291	139	20	bn	bn	NOUN
iajs-2291	139	21	=	=	SYM
iajs-2291	139	22	5	5	NUM
iajs-2291	139	23	]	]	PUNCT
iajs-2291	139	24	.	.	PUNCT
iajs-2291	140	1	figure	figure	NOUN
iajs-2291	140	2	12	12	NUM
iajs-2291	140	3	.	.	PUNCT
iajs-2291	141	1	the	the	DET
iajs-2291	141	2	pressure	pressure	NOUN
iajs-2291	141	3	gradient	gradient	NOUN
iajs-2291	141	4	for	for	ADP
iajs-2291	141	5	fixed	fix	VERB
iajs-2291	141	6	values	value	NOUN
iajs-2291	141	7	[	[	X
iajs-2291	141	8	𝜂	𝜂	X
iajs-2291	141	9	=	=	SYM
iajs-2291	141	10	0.5	0.5	NUM
iajs-2291	141	11	,	,	PUNCT
iajs-2291	141	12	𝑘	𝑘	X
iajs-2291	141	13	=	=	SYM
iajs-2291	141	14	5	5	NUM
iajs-2291	141	15	,	,	PUNCT
iajs-2291	141	16	𝜙	𝜙	NOUN
iajs-2291	141	17	=	=	SYM
iajs-2291	141	18	0.5	0.5	NUM
iajs-2291	141	19	,	,	PUNCT
iajs-2291	141	20	bn	bn	NOUN
iajs-2291	141	21	=	=	SYM
iajs-2291	141	22	5	5	NUM
iajs-2291	141	23	]	]	PUNCT
iajs-2291	141	24	.	.	PUNCT
iajs-2291	142	1	1	1	NUM
iajs-2291	142	2	0	0	NUM
iajs-2291	142	3	1	1	NUM
iajs-2291	142	4	2	2	NUM
iajs-2291	142	5	3	3	NUM
iajs-2291	142	6	4	4	NUM
iajs-2291	142	7	30	30	NUM
iajs-2291	142	8	20	20	NUM
iajs-2291	142	9	10	10	NUM
iajs-2291	142	10	0	0	NUM
iajs-2291	142	11	x	x	SYM
iajs-2291	142	12	0.5	0.5	NUM
iajs-2291	142	13	0.75	0.75	NUM
iajs-2291	142	14	1	1	NUM
iajs-2291	142	15	1	1	NUM
iajs-2291	142	16	0	0	NUM
iajs-2291	142	17	1	1	NUM
iajs-2291	142	18	2	2	NUM
iajs-2291	142	19	3	3	NUM
iajs-2291	142	20	4	4	NUM
iajs-2291	142	21	140	140	NUM
iajs-2291	142	22	120	120	NUM
iajs-2291	142	23	100	100	NUM
iajs-2291	142	24	80	80	NUM
iajs-2291	142	25	60	60	NUM
iajs-2291	142	26	40	40	NUM
iajs-2291	142	27	20	20	NUM
iajs-2291	142	28	0	0	NUM
iajs-2291	142	29	x	x	NOUN
iajs-2291	142	30	x	x	SYM
iajs-2291	142	31	bn	bn	NUM
iajs-2291	142	32	5	5	NUM
iajs-2291	142	33	bn	bn	NUM
iajs-2291	142	34	15	15	NUM
iajs-2291	142	35	bn	bn	NOUN
iajs-2291	142	36	25	25	NUM
iajs-2291	142	37	1	1	NUM
iajs-2291	142	38	0	0	NUM
iajs-2291	142	39	1	1	NUM
iajs-2291	142	40	2	2	NUM
iajs-2291	142	41	3	3	NUM
iajs-2291	142	42	4	4	NUM
iajs-2291	142	43	10	10	NUM
iajs-2291	142	44	0	0	NUM
iajs-2291	142	45	10	10	NUM
iajs-2291	142	46	20	20	NUM
iajs-2291	142	47	x	x	SYM
iajs-2291	142	48	k	k	PROPN
iajs-2291	142	49	3	3	NUM
iajs-2291	142	50	k	k	NOUN
iajs-2291	142	51	4	4	NUM
iajs-2291	142	52	k	k	NOUN
iajs-2291	142	53	5	5	NUM
iajs-2291	142	54	2	2	NUM
iajs-2291	142	55	1	1	NUM
iajs-2291	142	56	0	0	NUM
iajs-2291	142	57	1	1	NUM
iajs-2291	142	58	2	2	NUM
iajs-2291	142	59	3	3	NUM
iajs-2291	142	60	4	4	NUM
iajs-2291	142	61	5	5	NUM
iajs-2291	142	62	0.20	0.20	NUM
iajs-2291	142	63	0.15	0.15	NUM
iajs-2291	142	64	0.10	0.10	NUM
iajs-2291	142	65	0.05	0.05	NUM
iajs-2291	142	66	0.00	0.00	NUM
iajs-2291	142	67	x	x	PUNCT
iajs-2291	143	1	d	d	X
iajs-2291	143	2	p	p	X
iajs-2291	143	3	d	d	X
iajs-2291	143	4	x	x	SYM
iajs-2291	143	5	0.5	0.5	NUM
iajs-2291	143	6	1	1	NUM
iajs-2291	143	7	1.5	1.5	NUM
iajs-2291	143	8	2	2	NUM
iajs-2291	143	9	1	1	NUM
iajs-2291	143	10	0	0	NUM
iajs-2291	143	11	1	1	NUM
iajs-2291	143	12	2	2	NUM
iajs-2291	143	13	3	3	NUM
iajs-2291	143	14	4	4	NUM
iajs-2291	143	15	5	5	NUM
iajs-2291	143	16	0.05	0.05	NUM
iajs-2291	143	17	0.04	0.04	NUM
iajs-2291	143	18	0.03	0.03	NUM
iajs-2291	143	19	0.02	0.02	NUM
iajs-2291	143	20	0.01	0.01	NUM
iajs-2291	143	21	0.00	0.00	NUM
iajs-2291	143	22	x	x	SYM
iajs-2291	143	23	d	d	X
iajs-2291	143	24	p	p	X
iajs-2291	143	25	d	d	X
iajs-2291	143	26	x	x	X
iajs-2291	143	27	ibn	ibn	PROPN
iajs-2291	143	28	al	al	PROPN
iajs-2291	143	29	-	-	PUNCT
iajs-2291	143	30	haitham	haitham	PROPN
iajs-2291	143	31	jour	jour	X
iajs-2291	143	32	.	.	PROPN
iajs-2291	144	1	for	for	ADP
iajs-2291	144	2	pure	pure	ADJ
iajs-2291	144	3	&	&	CCONJ
iajs-2291	144	4	appl	appl	PROPN
iajs-2291	144	5	.	.	PUNCT
iajs-2291	145	1	sci	sci	PROPN
iajs-2291	145	2	.	.	PROPN
iajs-2291	145	3	32	32	NUM
iajs-2291	145	4	(	(	PUNCT
iajs-2291	145	5	3	3	NUM
iajs-2291	145	6	)	)	PUNCT
iajs-2291	145	7	2019	2019	NUM
iajs-2291	145	8	148	148	NUM
iajs-2291	145	9	figure	figure	NOUN
iajs-2291	145	10	13.the	13.the	NOUN
iajs-2291	145	11	pressure	pressure	NOUN
iajs-2291	145	12	gradient	gradient	NOUN
iajs-2291	145	13	for	for	ADP
iajs-2291	145	14	fixed	fix	VERB
iajs-2291	145	15	values	value	NOUN
iajs-2291	146	1	[	[	X
iajs-2291	146	2	𝜂	𝜂	X
iajs-2291	146	3	=	=	SYM
iajs-2291	146	4	0.5	0.5	NUM
iajs-2291	146	5	,	,	PUNCT
iajs-2291	146	6	𝑘	𝑘	X
iajs-2291	146	7	=	=	SYM
iajs-2291	146	8	5	5	NUM
iajs-2291	146	9	,	,	PUNCT
iajs-2291	146	10	f	f	PROPN
iajs-2291	146	11	=	=	SYM
iajs-2291	146	12	1	1	NUM
iajs-2291	146	13	,	,	PUNCT
iajs-2291	146	14	bn	bn	NOUN
iajs-2291	146	15	=	=	SYM
iajs-2291	146	16	5	5	NUM
iajs-2291	146	17	]	]	PUNCT
iajs-2291	146	18	.	.	PUNCT
iajs-2291	147	1	figure	figure	VERB
iajs-2291	147	2	14.the	14.the	DET
iajs-2291	147	3	pressure	pressure	NOUN
iajs-2291	147	4	gradient	gradient	NOUN
iajs-2291	147	5	for	for	ADP
iajs-2291	147	6	fixed	fix	VERB
iajs-2291	147	7	values	value	NOUN
iajs-2291	148	1	[	[	X
iajs-2291	148	2	𝜂	𝜂	X
iajs-2291	148	3	=	=	SYM
iajs-2291	148	4	0.5	0.5	NUM
iajs-2291	148	5	,	,	PUNCT
iajs-2291	148	6	𝑘	𝑘	X
iajs-2291	148	7	=	=	SYM
iajs-2291	148	8	5	5	NUM
iajs-2291	148	9	,	,	PUNCT
iajs-2291	148	10	f	f	PROPN
iajs-2291	148	11	=	=	SYM
iajs-2291	148	12	1	1	NUM
iajs-2291	148	13	,	,	PUNCT
iajs-2291	148	14	𝜙	𝜙	NOUN
iajs-2291	148	15	=	=	SYM
iajs-2291	148	16	0.5	0.5	NUM
iajs-2291	148	17	]	]	PUNCT
iajs-2291	148	18	.	.	PUNCT
iajs-2291	149	1	4.4	4.4	NUM
iajs-2291	150	1	the	the	DET
iajs-2291	150	2	pressure	pressure	NOUN
iajs-2291	150	3	rise	rise	VERB
iajs-2291	150	4	the	the	DET
iajs-2291	150	5	relationship	relationship	NOUN
iajs-2291	150	6	between	between	ADP
iajs-2291	150	7	the	the	DET
iajs-2291	150	8	non	non	ADJ
iajs-2291	150	9	-	-	ADJ
iajs-2291	150	10	dimensional	dimensional	ADJ
iajs-2291	150	11	average	average	ADJ
iajs-2291	150	12	pressure	pressure	NOUN
iajs-2291	150	13	rise	rise	NOUN
iajs-2291	150	14	per	per	ADP
iajs-2291	150	15	wave	wave	NOUN
iajs-2291	150	16	length	length	NOUN
iajs-2291	150	17	and	and	CCONJ
iajs-2291	150	18	dimensionless	dimensionless	NOUN
iajs-2291	150	19	mean	mean	NOUN
iajs-2291	150	20	flow	flow	NOUN
iajs-2291	150	21	rate	rate	NOUN
iajs-2291	150	22	θ	θ	PROPN
iajs-2291	150	23	.	.	PUNCT
iajs-2291	151	1	the	the	DET
iajs-2291	151	2	following	follow	VERB
iajs-2291	151	3	figurers	figurer	NOUN
iajs-2291	151	4	15	15	NUM
iajs-2291	151	5	-	-	SYM
iajs-2291	151	6	17	17	NUM
iajs-2291	151	7	.	.	PUNCT
iajs-2291	151	8	shows	show	VERB
iajs-2291	151	9	the	the	DET
iajs-2291	151	10	variation	variation	NOUN
iajs-2291	151	11	of	of	ADP
iajs-2291	151	12	δp	δp	NOUN
iajs-2291	151	13	against	against	ADP
iajs-2291	151	14	mean	mean	ADJ
iajs-2291	151	15	flow	flow	NOUN
iajs-2291	151	16	rate	rate	NOUN
iajs-2291	151	17	θ	θ	PROPN
iajs-2291	151	18	where	where	SCONJ
iajs-2291	151	19	a	a	DET
iajs-2291	151	20	linear	linear	ADJ
iajs-2291	151	21	relationship	relationship	NOUN
iajs-2291	151	22	between	between	ADP
iajs-2291	151	23	δp	δp	ADV
iajs-2291	151	24	and	and	CCONJ
iajs-2291	151	25	θ	θ	PROPN
iajs-2291	151	26	as	as	SCONJ
iajs-2291	151	27	it	it	PRON
iajs-2291	151	28	is	be	AUX
iajs-2291	151	29	shown	show	VERB
iajs-2291	151	30	in	in	ADP
iajs-2291	151	31	the	the	DET
iajs-2291	151	32	figurers	figurer	NOUN
iajs-2291	151	33	.	.	PUNCT
iajs-2291	152	1	the	the	DET
iajs-2291	152	2	whole	whole	ADJ
iajs-2291	152	3	region	region	NOUN
iajs-2291	152	4	is	be	AUX
iajs-2291	152	5	considered	consider	VERB
iajs-2291	152	6	to	to	ADP
iajs-2291	152	7	five	five	NUM
iajs-2291	152	8	parts	part	NOUN
iajs-2291	152	9	1	1	NUM
iajs-2291	152	10	.	.	PUNCT
iajs-2291	153	1	peristaltic	peristaltic	ADJ
iajs-2291	153	2	pumping	pumping	NOUN
iajs-2291	153	3	region	region	NOUN
iajs-2291	153	4	where	where	SCONJ
iajs-2291	153	5	δp	δp	ADV
iajs-2291	153	6	>	>	X
iajs-2291	153	7	0	0	PROPN
iajs-2291	153	8	,	,	PUNCT
iajs-2291	153	9	θ	θ	PROPN
iajs-2291	153	10	>	>	X
iajs-2291	153	11	0	0	NUM
iajs-2291	153	12	.	.	NOUN
iajs-2291	154	1	2	2	NUM
iajs-2291	154	2	.	.	NUM
iajs-2291	154	3	augmented	augment	VERB
iajs-2291	154	4	pumping	pumping	NOUN
iajs-2291	154	5	(	(	PUNCT
iajs-2291	154	6	copumping	copumpe	VERB
iajs-2291	154	7	region	region	NOUN
iajs-2291	154	8	)	)	PUNCT
iajs-2291	154	9	where	where	SCONJ
iajs-2291	154	10	δp	δp	ADV
iajs-2291	154	11	<	<	X
iajs-2291	154	12	0	0	PROPN
iajs-2291	154	13	,	,	PUNCT
iajs-2291	154	14	θ	θ	PROPN
iajs-2291	154	15	>	>	PUNCT
iajs-2291	154	16	0	0	PUNCT
iajs-2291	154	17	and	and	CCONJ
iajs-2291	154	18	no	no	DET
iajs-2291	154	19	flow	flow	NOUN
iajs-2291	154	20	is	be	AUX
iajs-2291	154	21	recognize	recognize	VERB
iajs-2291	154	22	in	in	ADP
iajs-2291	154	23	this	this	DET
iajs-2291	154	24	region	region	NOUN
iajs-2291	154	25	.	.	PUNCT
iajs-2291	155	1	3	3	X
iajs-2291	155	2	.	.	X
iajs-2291	155	3	retrograde	retrograde	ADJ
iajs-2291	155	4	pumping	pumping	NOUN
iajs-2291	155	5	region	region	NOUN
iajs-2291	155	6	where	where	SCONJ
iajs-2291	155	7	δp	δp	ADV
iajs-2291	155	8	>	>	X
iajs-2291	155	9	0	0	PROPN
iajs-2291	155	10	,	,	PUNCT
iajs-2291	155	11	θ	θ	PROPN
iajs-2291	155	12	<	<	X
iajs-2291	155	13	0	0	PUNCT
iajs-2291	155	14	and	and	CCONJ
iajs-2291	155	15	no	no	DET
iajs-2291	155	16	flow	flow	NOUN
iajs-2291	155	17	is	be	AUX
iajs-2291	155	18	recognize	recognize	VERB
iajs-2291	155	19	in	in	ADP
iajs-2291	155	20	this	this	DET
iajs-2291	155	21	region	region	NOUN
iajs-2291	155	22	.	.	PUNCT
iajs-2291	156	1	4	4	X
iajs-2291	156	2	.	.	X
iajs-2291	156	3	the	the	DET
iajs-2291	156	4	copumping	copumpe	VERB
iajs-2291	156	5	region	region	NOUN
iajs-2291	156	6	where	where	SCONJ
iajs-2291	156	7	δp	δp	ADV
iajs-2291	156	8	<	<	X
iajs-2291	156	9	0	0	PROPN
iajs-2291	156	10	,	,	PUNCT
iajs-2291	156	11	θ	θ	PROPN
iajs-2291	156	12	<	<	X
iajs-2291	156	13	0	0	NUM
iajs-2291	156	14	.	.	NOUN
iajs-2291	156	15	5	5	NUM
iajs-2291	156	16	.	.	NOUN
iajs-2291	156	17	free	free	ADJ
iajs-2291	156	18	pumping	pumping	NOUN
iajs-2291	156	19	region	region	NOUN
iajs-2291	156	20	where	where	SCONJ
iajs-2291	156	21	δp	δp	ADV
iajs-2291	156	22	=	=	NOUN
iajs-2291	156	23	0	0	X
iajs-2291	156	24	.	.	PUNCT
iajs-2291	156	25	figure	figure	NOUN
iajs-2291	156	26	15	15	NUM
iajs-2291	156	27	.	.	PUNCT
iajs-2291	157	1	discusses	discuss	VERB
iajs-2291	157	2	the	the	DET
iajs-2291	157	3	variation	variation	NOUN
iajs-2291	157	4	of	of	ADP
iajs-2291	157	5	𝑘	𝑘	PRON
iajs-2291	157	6	on	on	ADP
iajs-2291	157	7	the	the	DET
iajs-2291	157	8	pressure	pressure	NOUN
iajs-2291	157	9	rise	rise	NOUN
iajs-2291	157	10	per	per	ADP
iajs-2291	157	11	wave	wave	NOUN
iajs-2291	157	12	length	length	NOUN
iajs-2291	157	13	.	.	PUNCT
iajs-2291	158	1	it	it	PRON
iajs-2291	158	2	is	be	AUX
iajs-2291	158	3	observed	observe	VERB
iajs-2291	158	4	that	that	SCONJ
iajs-2291	158	5	the	the	DET
iajs-2291	158	6	pumping	pump	VERB
iajs-2291	158	7	rate	rate	NOUN
iajs-2291	158	8	increases	increase	NOUN
iajs-2291	158	9	in	in	ADP
iajs-2291	158	10	the	the	DET
iajs-2291	158	11	copumping	copumping	ADJ
iajs-2291	158	12	region	region	NOUN
iajs-2291	158	13	where	where	SCONJ
iajs-2291	158	14	δp	δp	ADV
iajs-2291	158	15	<	<	X
iajs-2291	158	16	0	0	PROPN
iajs-2291	158	17	,	,	PUNCT
iajs-2291	158	18	θ	θ	PROPN
iajs-2291	158	19	<	<	X
iajs-2291	158	20	0	0	PUNCT
iajs-2291	158	21	while	while	SCONJ
iajs-2291	158	22	it	it	PRON
iajs-2291	158	23	is	be	AUX
iajs-2291	158	24	decreasing	decrease	VERB
iajs-2291	158	25	in	in	ADP
iajs-2291	158	26	the	the	DET
iajs-2291	158	27	peristaltic	peristaltic	ADJ
iajs-2291	158	28	pumping	pumping	NOUN
iajs-2291	158	29	region	region	NOUN
iajs-2291	158	30	where	where	SCONJ
iajs-2291	158	31	δp	δp	ADV
iajs-2291	158	32	>	>	X
iajs-2291	158	33	0	0	PROPN
iajs-2291	158	34	,	,	PUNCT
iajs-2291	158	35	θ	θ	PROPN
iajs-2291	158	36	>	>	X
iajs-2291	158	37	0	0	X
iajs-2291	158	38	.	.	PUNCT
iajs-2291	158	39	figure	figure	NOUN
iajs-2291	158	40	16	16	NUM
iajs-2291	158	41	.	.	PUNCT
iajs-2291	159	1	plots	plot	VERB
iajs-2291	159	2	the	the	DET
iajs-2291	159	3	effect	effect	NOUN
iajs-2291	159	4	of	of	ADP
iajs-2291	159	5	amplitude	amplitude	NOUN
iajs-2291	159	6	ratio	ratio	NOUN
iajs-2291	159	7	parameter	parameter	NOUN
iajs-2291	159	8	𝜙	𝜙	PROPN
iajs-2291	159	9	on	on	ADP
iajs-2291	159	10	pressure	pressure	NOUN
iajs-2291	159	11	rise	rise	NOUN
iajs-2291	159	12	per	per	ADP
iajs-2291	159	13	wave	wave	NOUN
iajs-2291	159	14	length	length	NOUN
iajs-2291	159	15	,	,	PUNCT
iajs-2291	159	16	it	it	PRON
iajs-2291	159	17	has	have	AUX
iajs-2291	159	18	been	be	AUX
iajs-2291	159	19	noticed	notice	VERB
iajs-2291	159	20	that	that	SCONJ
iajs-2291	159	21	an	an	DET
iajs-2291	159	22	increase	increase	NOUN
iajs-2291	159	23	in	in	ADP
iajs-2291	159	24	𝜙	𝜙	DET
iajs-2291	159	25	increase	increase	NOUN
iajs-2291	159	26	the	the	DET
iajs-2291	159	27	pumping	pumping	NOUN
iajs-2291	159	28	rate	rate	NOUN
iajs-2291	159	29	in	in	ADP
iajs-2291	159	30	the	the	DET
iajs-2291	159	31	peristaltic	peristaltic	ADJ
iajs-2291	159	32	pumping	pumping	NOUN
iajs-2291	159	33	region(δp	region(δp	NOUN
iajs-2291	159	34	>	>	X
iajs-2291	159	35	0	0	PROPN
iajs-2291	159	36	,	,	PUNCT
iajs-2291	159	37	θ	θ	PROPN
iajs-2291	159	38	>	>	X
iajs-2291	159	39	0	0	NUM
iajs-2291	159	40	)	)	PUNCT
iajs-2291	159	41	,	,	PUNCT
iajs-2291	159	42	and	and	CCONJ
iajs-2291	159	43	decrease	decrease	VERB
iajs-2291	159	44	the	the	DET
iajs-2291	159	45	pumping	pumping	NOUN
iajs-2291	159	46	rate	rate	NOUN
iajs-2291	159	47	in	in	ADP
iajs-2291	159	48	the	the	DET
iajs-2291	159	49	copumping	copumpe	VERB
iajs-2291	159	50	region	region	NOUN
iajs-2291	159	51	(	(	PUNCT
iajs-2291	159	52	δp	δp	ADP
iajs-2291	159	53	<	<	X
iajs-2291	159	54	0	0	PROPN
iajs-2291	159	55	,	,	PUNCT
iajs-2291	159	56	θ	θ	PROPN
iajs-2291	159	57	<	<	X
iajs-2291	159	58	0	0	NUM
iajs-2291	159	59	)	)	PUNCT
iajs-2291	159	60	.	.	PUNCT
iajs-2291	160	1	figure	figure	NOUN
iajs-2291	160	2	17	17	NUM
iajs-2291	160	3	.	.	PUNCT
iajs-2291	161	1	shows	show	VERB
iajs-2291	161	2	the	the	DET
iajs-2291	161	3	effect	effect	NOUN
iajs-2291	161	4	of	of	ADP
iajs-2291	161	5	an	an	DET
iajs-2291	161	6	increase	increase	NOUN
iajs-2291	161	7	of	of	ADP
iajs-2291	161	8	bingham	bingham	PROPN
iajs-2291	161	9	number	number	NOUN
iajs-2291	161	10	parameter	parameter	NOUN
iajs-2291	161	11	bn	bn	INTJ
iajs-2291	161	12	on	on	ADP
iajs-2291	161	13	the	the	DET
iajs-2291	161	14	pressure	pressure	NOUN
iajs-2291	161	15	rise	rise	NOUN
iajs-2291	161	16	per	per	ADP
iajs-2291	161	17	wave	wave	NOUN
iajs-2291	161	18	length	length	NOUN
iajs-2291	161	19	,	,	PUNCT
iajs-2291	161	20	it	it	PRON
iajs-2291	161	21	shows	show	VERB
iajs-2291	161	22	that	that	SCONJ
iajs-2291	161	23	the	the	DET
iajs-2291	161	24	pumping	pump	VERB
iajs-2291	161	25	rate	rate	NOUN
iajs-2291	161	26	decreases	decrease	NOUN
iajs-2291	161	27	in	in	ADP
iajs-2291	161	28	both	both	CCONJ
iajs-2291	161	29	peristaltic	peristaltic	ADJ
iajs-2291	161	30	pumping	pumping	NOUN
iajs-2291	161	31	region	region	NOUN
iajs-2291	161	32	(	(	PUNCT
iajs-2291	161	33	δp	δp	ADP
iajs-2291	161	34	>	>	X
iajs-2291	161	35	0	0	PROPN
iajs-2291	161	36	,	,	PUNCT
iajs-2291	161	37	θ	θ	PROPN
iajs-2291	161	38	>	>	X
iajs-2291	161	39	0	0	NUM
iajs-2291	161	40	)	)	PUNCT
iajs-2291	161	41	and	and	CCONJ
iajs-2291	161	42	the	the	DET
iajs-2291	161	43	copumping	copumpe	VERB
iajs-2291	161	44	region	region	NOUN
iajs-2291	161	45	(	(	PUNCT
iajs-2291	161	46	δp	δp	ADP
iajs-2291	161	47	<	<	X
iajs-2291	161	48	0	0	PROPN
iajs-2291	161	49	,	,	PUNCT
iajs-2291	161	50	θ	θ	PROPN
iajs-2291	161	51	<	<	X
iajs-2291	161	52	0	0	NUM
iajs-2291	161	53	)	)	PUNCT
iajs-2291	161	54	.	.	PUNCT
iajs-2291	162	1	figure	figure	NOUN
iajs-2291	162	2	15	15	NUM
iajs-2291	162	3	.	.	PUNCT
iajs-2291	163	1	the	the	DET
iajs-2291	163	2	pressure	pressure	NOUN
iajs-2291	163	3	rise	rise	NOUN
iajs-2291	163	4	for	for	ADP
iajs-2291	163	5	fixed	fix	VERB
iajs-2291	163	6	values	value	NOUN
iajs-2291	163	7	[	[	X
iajs-2291	163	8	𝜙	𝜙	X
iajs-2291	163	9	=	=	SYM
iajs-2291	163	10	0.5	0.5	NUM
iajs-2291	163	11	,	,	PUNCT
iajs-2291	163	12	bn	bn	NOUN
iajs-2291	163	13	=	=	SYM
iajs-2291	163	14	5	5	NUM
iajs-2291	163	15	]	]	PUNCT
iajs-2291	163	16	.	.	PUNCT
iajs-2291	164	1	figure	figure	VERB
iajs-2291	164	2	16.the	16.the	DET
iajs-2291	164	3	pressure	pressure	NOUN
iajs-2291	164	4	rise	rise	NOUN
iajs-2291	164	5	for	for	ADP
iajs-2291	164	6	fixed	fix	VERB
iajs-2291	164	7	values	value	NOUN
iajs-2291	165	1	[	[	X
iajs-2291	165	2	𝑘	𝑘	X
iajs-2291	165	3	=	=	SYM
iajs-2291	165	4	5	5	NUM
iajs-2291	165	5	,	,	PUNCT
iajs-2291	165	6	bn	bn	NOUN
iajs-2291	165	7	=	=	SYM
iajs-2291	165	8	5	5	NUM
iajs-2291	165	9	]	]	PUNCT
iajs-2291	165	10	.	.	PUNCT
iajs-2291	166	1	0.5	0.5	NUM
iajs-2291	166	2	0.75	0.75	NUM
iajs-2291	166	3	1	1	NUM
iajs-2291	166	4	2	2	NUM
iajs-2291	166	5	1	1	NUM
iajs-2291	166	6	0	0	NUM
iajs-2291	166	7	1	1	NUM
iajs-2291	166	8	2	2	NUM
iajs-2291	166	9	3	3	NUM
iajs-2291	166	10	4	4	NUM
iajs-2291	166	11	5	5	NUM
iajs-2291	166	12	0.5	0.5	NUM
iajs-2291	166	13	0.4	0.4	NUM
iajs-2291	166	14	0.3	0.3	NUM
iajs-2291	166	15	0.2	0.2	NUM
iajs-2291	166	16	0.1	0.1	NUM
iajs-2291	166	17	0.0	0.0	NUM
iajs-2291	166	18	x	x	SYM
iajs-2291	167	1	d	d	NOUN
iajs-2291	167	2	p	p	X
iajs-2291	167	3	d	d	X
iajs-2291	167	4	x	x	SYM
iajs-2291	167	5	bn	bn	PROPN
iajs-2291	167	6	5	5	NUM
iajs-2291	167	7	bn	bn	NUM
iajs-2291	167	8	25	25	NUM
iajs-2291	167	9	bn	bn	NUM
iajs-2291	167	10	50	50	NUM
iajs-2291	167	11	2	2	NUM
iajs-2291	167	12	1	1	NUM
iajs-2291	167	13	0	0	NUM
iajs-2291	167	14	1	1	NUM
iajs-2291	167	15	2	2	NUM
iajs-2291	167	16	3	3	NUM
iajs-2291	167	17	4	4	NUM
iajs-2291	167	18	5	5	NUM
iajs-2291	167	19	0.05	0.05	NUM
iajs-2291	167	20	0.04	0.04	NUM
iajs-2291	167	21	0.03	0.03	NUM
iajs-2291	167	22	0.02	0.02	NUM
iajs-2291	167	23	0.01	0.01	NUM
iajs-2291	167	24	0.00	0.00	NUM
iajs-2291	167	25	x	x	SYM
iajs-2291	168	1	d	d	X
iajs-2291	168	2	p	p	X
iajs-2291	168	3	d	d	X
iajs-2291	168	4	x	x	SYM
iajs-2291	168	5	k	k	PROPN
iajs-2291	168	6	50	50	NUM
iajs-2291	169	1	k	k	NOUN
iajs-2291	169	2	75	75	NUM
iajs-2291	169	3	k	k	NOUN
iajs-2291	169	4	100	100	NUM
iajs-2291	169	5	10	10	NUM
iajs-2291	169	6	5	5	NUM
iajs-2291	169	7	0	0	NUM
iajs-2291	169	8	5	5	NUM
iajs-2291	169	9	10	10	NUM
iajs-2291	169	10	0.00010	0.00010	NUM
iajs-2291	169	11	0.00005	0.00005	NUM
iajs-2291	169	12	0.00000	0.00000	NUM
iajs-2291	170	1	0.00005	0.00005	NUM
iajs-2291	170	2	0.00010	0.00010	NUM
iajs-2291	170	3	p	p	NOUN
iajs-2291	170	4	0.5	0.5	NUM
iajs-2291	170	5	1	1	NUM
iajs-2291	170	6	1.5	1.5	NUM
iajs-2291	170	7	10	10	NUM
iajs-2291	170	8	5	5	NUM
iajs-2291	170	9	0	0	NUM
iajs-2291	170	10	5	5	NUM
iajs-2291	170	11	10	10	NUM
iajs-2291	170	12	2	2	NUM
iajs-2291	170	13	0	0	NUM
iajs-2291	170	14	2	2	NUM
iajs-2291	170	15	4	4	NUM
iajs-2291	170	16	p	p	PROPN
iajs-2291	170	17	ibn	ibn	PROPN
iajs-2291	170	18	al	al	PROPN
iajs-2291	170	19	-	-	PUNCT
iajs-2291	170	20	haitham	haitham	PROPN
iajs-2291	170	21	jour	jour	X
iajs-2291	170	22	.	.	PROPN
iajs-2291	170	23	for	for	ADP
iajs-2291	170	24	pure	pure	ADJ
iajs-2291	170	25	&	&	CCONJ
iajs-2291	170	26	appl	appl	PROPN
iajs-2291	170	27	.	.	PUNCT
iajs-2291	171	1	sci	sci	PROPN
iajs-2291	171	2	.	.	PROPN
iajs-2291	171	3	32	32	NUM
iajs-2291	171	4	(	(	PUNCT
iajs-2291	171	5	3	3	NUM
iajs-2291	171	6	)	)	PUNCT
iajs-2291	171	7	2019	2019	NUM
iajs-2291	171	8	149	149	NUM
iajs-2291	171	9	figure	figure	NOUN
iajs-2291	171	10	17.the	17.the	PROPN
iajs-2291	171	11	pressure	pressure	NOUN
iajs-2291	171	12	rise	rise	NOUN
iajs-2291	171	13	for	for	ADP
iajs-2291	171	14	fixed	fix	VERB
iajs-2291	171	15	values	value	NOUN
iajs-2291	171	16	[	[	X
iajs-2291	171	17	𝑘	𝑘	X
iajs-2291	171	18	=	=	SYM
iajs-2291	171	19	5	5	NUM
iajs-2291	171	20	,	,	PUNCT
iajs-2291	171	21	𝜙	𝜙	NOUN
iajs-2291	171	22	=	=	SYM
iajs-2291	171	23	0.5	0.5	NUM
iajs-2291	171	24	]	]	PUNCT
iajs-2291	171	25	.	.	PUNCT
iajs-2291	172	1	4.5	4.5	NUM
iajs-2291	173	1	the	the	DET
iajs-2291	173	2	stream	stream	NOUN
iajs-2291	173	3	lines	line	NOUN
iajs-2291	173	4	trapping	trap	VERB
iajs-2291	173	5	if	if	SCONJ
iajs-2291	173	6	formation	formation	NOUN
iajs-2291	173	7	of	of	ADP
iajs-2291	173	8	circular	circular	ADJ
iajs-2291	173	9	bolus	bolus	NOUN
iajs-2291	173	10	by	by	ADP
iajs-2291	173	11	internally	internally	ADV
iajs-2291	173	12	splitting	splitting	NOUN
iajs-2291	173	13	of	of	ADP
iajs-2291	173	14	stream	stream	NOUN
iajs-2291	173	15	function	function	NOUN
iajs-2291	173	16	.	.	PUNCT
iajs-2291	174	1	the	the	DET
iajs-2291	174	2	movement	movement	NOUN
iajs-2291	174	3	of	of	ADP
iajs-2291	174	4	bolus	bolus	NOUN
iajs-2291	174	5	forward	forward	ADV
iajs-2291	174	6	through	through	ADP
iajs-2291	174	7	peristaltic	peristaltic	ADJ
iajs-2291	174	8	wave	wave	NOUN
iajs-2291	174	9	with	with	ADP
iajs-2291	174	10	the	the	DET
iajs-2291	174	11	same	same	ADJ
iajs-2291	174	12	speed	speed	NOUN
iajs-2291	174	13	as	as	ADP
iajs-2291	174	14	the	the	DET
iajs-2291	174	15	wave	wave	NOUN
iajs-2291	174	16	itself	itself	PRON
iajs-2291	174	17	.	.	PUNCT
iajs-2291	175	1	the	the	DET
iajs-2291	175	2	bolus	bolus	ADJ
iajs-2291	175	3	or	or	CCONJ
iajs-2291	175	4	circulation	circulation	NOUN
iajs-2291	175	5	region	region	NOUN
iajs-2291	175	6	is	be	AUX
iajs-2291	175	7	symmetric	symmetric	ADJ
iajs-2291	175	8	about	about	ADP
iajs-2291	175	9	the	the	DET
iajs-2291	175	10	center	center	NOUN
iajs-2291	175	11	line	line	NOUN
iajs-2291	175	12	;	;	PUNCT
iajs-2291	175	13	it	it	PRON
iajs-2291	175	14	is	be	AUX
iajs-2291	175	15	split	split	VERB
iajs-2291	175	16	in	in	ADP
iajs-2291	175	17	to	to	ADP
iajs-2291	175	18	two	two	NUM
iajs-2291	175	19	boluses	bolus	NOUN
iajs-2291	175	20	appearing	appear	VERB
iajs-2291	175	21	in	in	ADP
iajs-2291	175	22	the	the	DET
iajs-2291	175	23	upper	upper	ADJ
iajs-2291	175	24	and	and	CCONJ
iajs-2291	175	25	lower	low	ADJ
iajs-2291	175	26	halves	half	NOUN
iajs-2291	175	27	of	of	ADP
iajs-2291	175	28	the	the	DET
iajs-2291	175	29	channel	channel	NOUN
iajs-2291	175	30	for	for	ADP
iajs-2291	175	31	large	large	ADJ
iajs-2291	175	32	values	value	NOUN
iajs-2291	175	33	of	of	ADP
iajs-2291	175	34	𝑘	𝑘	PRON
iajs-2291	175	35	where	where	SCONJ
iajs-2291	175	36	the	the	DET
iajs-2291	175	37	shape	shape	NOUN
iajs-2291	175	38	and	and	CCONJ
iajs-2291	175	39	size	size	NOUN
iajs-2291	175	40	of	of	ADP
iajs-2291	175	41	the	the	DET
iajs-2291	175	42	boluses	bolus	NOUN
iajs-2291	175	43	in	in	ADP
iajs-2291	175	44	the	the	DET
iajs-2291	175	45	two	two	NUM
iajs-2291	175	46	halves	half	NOUN
iajs-2291	175	47	is	be	AUX
iajs-2291	175	48	a	a	DET
iajs-2291	175	49	symmetric	symmetric	NOUN
iajs-2291	175	50	.	.	PUNCT
iajs-2291	176	1	however	however	ADV
iajs-2291	176	2	for	for	ADP
iajs-2291	176	3	small	small	ADJ
iajs-2291	176	4	values	value	NOUN
iajs-2291	176	5	of	of	ADP
iajs-2291	176	6	𝑘	𝑘	PRON
iajs-2291	176	7	the	the	DET
iajs-2291	176	8	bolus	bolus	ADJ
iajs-2291	176	9	region	region	NOUN
iajs-2291	176	10	is	be	AUX
iajs-2291	176	11	not	not	PART
iajs-2291	176	12	symmetric	symmetric	ADJ
iajs-2291	176	13	about	about	ADP
iajs-2291	176	14	the	the	DET
iajs-2291	176	15	center	center	NOUN
iajs-2291	176	16	line	line	NOUN
iajs-2291	176	17	𝜂	𝜂	NOUN
iajs-2291	176	18	=	=	SYM
iajs-2291	176	19	0	0	NUM
iajs-2291	176	20	,	,	PUNCT
iajs-2291	176	21	in	in	ADP
iajs-2291	176	22	fact	fact	NOUN
iajs-2291	176	23	it	it	PRON
iajs-2291	176	24	is	be	AUX
iajs-2291	176	25	split	split	VERB
iajs-2291	176	26	into	into	ADP
iajs-2291	176	27	two	two	NUM
iajs-2291	176	28	boluses	bolus	NOUN
iajs-2291	176	29	appearing	appear	VERB
iajs-2291	176	30	in	in	ADP
iajs-2291	176	31	the	the	DET
iajs-2291	176	32	upper	upper	ADJ
iajs-2291	176	33	and	and	CCONJ
iajs-2291	176	34	lower	low	ADJ
iajs-2291	176	35	halves	half	NOUN
iajs-2291	176	36	of	of	ADP
iajs-2291	176	37	the	the	DET
iajs-2291	176	38	channel	channel	NOUN
iajs-2291	176	39	and	and	CCONJ
iajs-2291	176	40	the	the	DET
iajs-2291	176	41	shape	shape	NOUN
iajs-2291	176	42	and	and	CCONJ
iajs-2291	176	43	size	size	NOUN
iajs-2291	176	44	of	of	ADP
iajs-2291	176	45	the	the	DET
iajs-2291	176	46	boluses	bolus	NOUN
iajs-2291	176	47	in	in	ADP
iajs-2291	176	48	the	the	DET
iajs-2291	176	49	two	two	NUM
iajs-2291	176	50	halves	half	NOUN
iajs-2291	176	51	is	be	AUX
iajs-2291	176	52	not	not	PART
iajs-2291	176	53	symmetric	symmetric	ADJ
iajs-2291	176	54	.	.	PUNCT
iajs-2291	177	1	the	the	DET
iajs-2291	177	2	effect	effect	NOUN
iajs-2291	177	3	of	of	ADP
iajs-2291	177	4	𝑘	𝑘	PRON
iajs-2291	177	5	the	the	DET
iajs-2291	177	6	curvature	curvature	NOUN
iajs-2291	177	7	of	of	ADP
iajs-2291	177	8	the	the	DET
iajs-2291	177	9	channel	channel	NOUN
iajs-2291	177	10	on	on	ADP
iajs-2291	177	11	the	the	DET
iajs-2291	177	12	trapped	trap	VERB
iajs-2291	177	13	bolus	bolus	NOUN
iajs-2291	177	14	is	be	AUX
iajs-2291	177	15	shown	show	VERB
iajs-2291	177	16	in	in	ADP
iajs-2291	177	17	figure	figure	NOUN
iajs-2291	177	18	18	18	NUM
iajs-2291	177	19	.	.	PUNCT
iajs-2291	178	1	one	one	PRON
iajs-2291	178	2	can	can	AUX
iajs-2291	178	3	see	see	VERB
iajs-2291	178	4	for	for	ADP
iajs-2291	178	5	small	small	ADJ
iajs-2291	178	6	values	value	NOUN
iajs-2291	178	7	of	of	ADP
iajs-2291	178	8	𝑘	𝑘	PRON
iajs-2291	178	9	the	the	DET
iajs-2291	178	10	bolus	bolus	ADJ
iajs-2291	178	11	decreases	decrease	NOUN
iajs-2291	178	12	in	in	ADP
iajs-2291	178	13	size	size	NOUN
iajs-2291	178	14	and	and	CCONJ
iajs-2291	178	15	number	number	NOUN
iajs-2291	178	16	.	.	PUNCT
iajs-2291	179	1	it	it	PRON
iajs-2291	179	2	is	be	AUX
iajs-2291	179	3	interesting	interesting	ADJ
iajs-2291	179	4	that	that	SCONJ
iajs-2291	179	5	the	the	DET
iajs-2291	179	6	size	size	NOUN
iajs-2291	179	7	and	and	CCONJ
iajs-2291	179	8	circulation	circulation	NOUN
iajs-2291	179	9	of	of	ADP
iajs-2291	179	10	the	the	DET
iajs-2291	179	11	two	two	NUM
iajs-2291	179	12	boluses	bolus	NOUN
iajs-2291	179	13	stops	stop	VERB
iajs-2291	179	14	for	for	ADP
iajs-2291	179	15	large	large	ADJ
iajs-2291	179	16	values	value	NOUN
iajs-2291	179	17	of	of	ADP
iajs-2291	179	18	𝑘.	𝑘.	ADJ
iajs-2291	179	19	figure	figure	NOUN
iajs-2291	179	20	19	19	NUM
iajs-2291	179	21	.	.	PUNCT
iajs-2291	179	22	deduced	deduce	VERB
iajs-2291	179	23	that	that	SCONJ
iajs-2291	179	24	for	for	ADP
iajs-2291	179	25	large	large	ADJ
iajs-2291	179	26	values	value	NOUN
iajs-2291	179	27	of	of	ADP
iajs-2291	179	28	𝜙	𝜙	NOUN
iajs-2291	179	29	and	and	CCONJ
iajs-2291	179	30	for	for	ADP
iajs-2291	179	31	large	large	ADJ
iajs-2291	179	32	values	value	NOUN
iajs-2291	179	33	of	of	ADP
iajs-2291	179	34	𝑘	𝑘	DET
iajs-2291	179	35	the	the	DET
iajs-2291	179	36	size	size	NOUN
iajs-2291	179	37	and	and	CCONJ
iajs-2291	179	38	the	the	DET
iajs-2291	179	39	number	number	NOUN
iajs-2291	179	40	of	of	ADP
iajs-2291	179	41	trapped	trap	VERB
iajs-2291	179	42	boluses	bolus	NOUN
iajs-2291	179	43	increased	increase	VERB
iajs-2291	179	44	where	where	SCONJ
iajs-2291	179	45	the	the	DET
iajs-2291	179	46	size	size	NOUN
iajs-2291	179	47	and	and	CCONJ
iajs-2291	179	48	the	the	DET
iajs-2291	179	49	shape	shape	NOUN
iajs-2291	179	50	of	of	ADP
iajs-2291	179	51	the	the	DET
iajs-2291	179	52	bolus	bolus	NOUN
iajs-2291	179	53	is	be	AUX
iajs-2291	179	54	symmetric	symmetric	ADJ
iajs-2291	179	55	.	.	PUNCT
iajs-2291	180	1	figure	figure	NOUN
iajs-2291	180	2	20	20	NUM
iajs-2291	180	3	.	.	PUNCT
iajs-2291	181	1	shows	show	VERB
iajs-2291	181	2	that	that	SCONJ
iajs-2291	181	3	the	the	DET
iajs-2291	181	4	size	size	NOUN
iajs-2291	181	5	and	and	CCONJ
iajs-2291	181	6	number	number	NOUN
iajs-2291	181	7	of	of	ADP
iajs-2291	181	8	the	the	DET
iajs-2291	181	9	stream	stream	NOUN
iajs-2291	181	10	lines	line	NOUN
iajs-2291	181	11	increases	increase	VERB
iajs-2291	181	12	with	with	ADP
iajs-2291	181	13	an	an	DET
iajs-2291	181	14	increase	increase	NOUN
iajs-2291	181	15	of	of	ADP
iajs-2291	181	16	𝜙	𝜙	NOUN
iajs-2291	181	17	for	for	ADP
iajs-2291	181	18	small	small	ADJ
iajs-2291	181	19	values	value	NOUN
iajs-2291	181	20	of	of	ADP
iajs-2291	181	21	𝑘	𝑘	PRON
iajs-2291	181	22	in	in	ADP
iajs-2291	181	23	which	which	PRON
iajs-2291	181	24	the	the	DET
iajs-2291	181	25	two	two	NUM
iajs-2291	181	26	boluses	bolus	NOUN
iajs-2291	181	27	are	be	AUX
iajs-2291	181	28	not	not	PART
iajs-2291	181	29	symmetric	symmetric	ADJ
iajs-2291	181	30	around	around	ADP
iajs-2291	181	31	the	the	DET
iajs-2291	181	32	center	center	NOUN
iajs-2291	181	33	line	line	NOUN
iajs-2291	181	34	𝜂	𝜂	NOUN
iajs-2291	181	35	=	=	SYM
iajs-2291	181	36	0	0	NUM
iajs-2291	181	37	.	.	PUNCT
iajs-2291	182	1	the	the	DET
iajs-2291	182	2	impact	impact	NOUN
iajs-2291	182	3	of	of	ADP
iajs-2291	182	4	flow	flow	NOUN
iajs-2291	182	5	rate	rate	NOUN
iajs-2291	182	6	on	on	ADP
iajs-2291	182	7	the	the	DET
iajs-2291	182	8	stream	stream	NOUN
iajs-2291	182	9	line	line	NOUN
iajs-2291	182	10	in	in	ADP
iajs-2291	182	11	case	case	NOUN
iajs-2291	182	12	of	of	ADP
iajs-2291	182	13	large	large	ADJ
iajs-2291	182	14	values	value	NOUN
iajs-2291	182	15	of	of	ADP
iajs-2291	182	16	𝑘	𝑘	PROPN
iajs-2291	182	17	is	be	AUX
iajs-2291	182	18	shown	show	VERB
iajs-2291	182	19	in	in	ADP
iajs-2291	182	20	figure	figure	NOUN
iajs-2291	182	21	21	21	NUM
iajs-2291	182	22	.	.	PUNCT
iajs-2291	183	1	it	it	PRON
iajs-2291	183	2	shows	show	VERB
iajs-2291	183	3	that	that	SCONJ
iajs-2291	183	4	for	for	ADP
iajs-2291	183	5	large	large	ADJ
iajs-2291	183	6	magnitude	magnitude	NOUN
iajs-2291	183	7	of	of	ADP
iajs-2291	183	8	the	the	DET
iajs-2291	183	9	flow	flow	NOUN
iajs-2291	183	10	rate	rate	NOUN
iajs-2291	183	11	the	the	DET
iajs-2291	183	12	size	size	NOUN
iajs-2291	183	13	of	of	ADP
iajs-2291	183	14	the	the	DET
iajs-2291	183	15	trapping	trap	VERB
iajs-2291	183	16	bolus	bolus	ADJ
iajs-2291	183	17	increases	increase	NOUN
iajs-2291	183	18	.	.	PUNCT
iajs-2291	184	1	and	and	CCONJ
iajs-2291	184	2	the	the	DET
iajs-2291	184	3	impact	impact	NOUN
iajs-2291	184	4	of	of	ADP
iajs-2291	184	5	flow	flow	NOUN
iajs-2291	184	6	rate	rate	NOUN
iajs-2291	184	7	on	on	ADP
iajs-2291	184	8	the	the	DET
iajs-2291	184	9	stream	stream	NOUN
iajs-2291	184	10	line	line	NOUN
iajs-2291	184	11	in	in	ADP
iajs-2291	184	12	case	case	NOUN
iajs-2291	184	13	of	of	ADP
iajs-2291	184	14	small	small	ADJ
iajs-2291	184	15	values	value	NOUN
iajs-2291	184	16	of	of	ADP
iajs-2291	184	17	𝑘	𝑘	PROPN
iajs-2291	184	18	is	be	AUX
iajs-2291	184	19	shown	show	VERB
iajs-2291	184	20	in	in	ADP
iajs-2291	184	21	figure	figure	NOUN
iajs-2291	184	22	22	22	NUM
iajs-2291	184	23	.	.	PUNCT
iajs-2291	185	1	it	it	PRON
iajs-2291	185	2	shows	show	VERB
iajs-2291	185	3	the	the	DET
iajs-2291	185	4	size	size	NOUN
iajs-2291	185	5	of	of	ADP
iajs-2291	185	6	the	the	DET
iajs-2291	185	7	trapping	trap	VERB
iajs-2291	185	8	bolus	bolus	ADJ
iajs-2291	185	9	increases	increase	NOUN
iajs-2291	185	10	it	it	PRON
iajs-2291	185	11	is	be	AUX
iajs-2291	185	12	not	not	PART
iajs-2291	185	13	symmetric	symmetric	ADJ
iajs-2291	185	14	around	around	ADP
iajs-2291	185	15	the	the	DET
iajs-2291	185	16	center	center	NOUN
iajs-2291	185	17	line	line	NOUN
iajs-2291	185	18	𝜂	𝜂	NOUN
iajs-2291	185	19	=	=	SYM
iajs-2291	185	20	0	0	X
iajs-2291	185	21	.	.	PUNCT
iajs-2291	185	22	figure	figure	NOUN
iajs-2291	185	23	18	18	NUM
iajs-2291	185	24	.	.	PUNCT
iajs-2291	186	1	stream	stream	NOUN
iajs-2291	186	2	lines	line	NOUN
iajs-2291	186	3	for	for	ADP
iajs-2291	186	4	variation	variation	NOUN
iajs-2291	186	5	of	of	ADP
iajs-2291	186	6	𝑘	𝑘	PRON
iajs-2291	186	7	and	and	CCONJ
iajs-2291	186	8	fixed	fix	VERB
iajs-2291	186	9	{	{	PUNCT
iajs-2291	186	10	𝜙	𝜙	NOUN
iajs-2291	186	11	=	=	SYM
iajs-2291	186	12	1	1	NUM
iajs-2291	186	13	,	,	PUNCT
iajs-2291	186	14	𝑘	𝑘	X
iajs-2291	186	15	=	=	SYM
iajs-2291	186	16	5	5	NUM
iajs-2291	186	17	,	,	PUNCT
iajs-2291	186	18	f	f	NOUN
iajs-2291	186	19	=	=	SYM
iajs-2291	186	20	1	1	NUM
iajs-2291	186	21	}	}	PUNCT
iajs-2291	186	22	and	and	CCONJ
iajs-2291	186	23	𝑘	𝑘	X
iajs-2291	186	24	=	=	ADJ
iajs-2291	186	25	2	2	NUM
iajs-2291	186	26	,	,	PUNCT
iajs-2291	186	27	𝑘	𝑘	X
iajs-2291	186	28	=	=	SYM
iajs-2291	186	29	5	5	NUM
iajs-2291	186	30	,	,	PUNCT
iajs-2291	186	31	𝑘	𝑘	X
iajs-2291	186	32	=	=	SYM
iajs-2291	186	33	50	50	NUM
iajs-2291	186	34	,	,	PUNCT
iajs-2291	186	35	𝑘	𝑘	X
iajs-2291	186	36	=	=	NOUN
iajs-2291	186	37	100	100	NUM
iajs-2291	186	38	.	.	PUNCT
iajs-2291	187	1	bn	bn	NUM
iajs-2291	187	2	5	5	NUM
iajs-2291	187	3	bn	bn	NUM
iajs-2291	187	4	25	25	NUM
iajs-2291	187	5	bn	bn	NUM
iajs-2291	187	6	50	50	NUM
iajs-2291	187	7	10	10	NUM
iajs-2291	187	8	5	5	NUM
iajs-2291	187	9	0	0	NUM
iajs-2291	187	10	5	5	NUM
iajs-2291	187	11	10	10	NUM
iajs-2291	187	12	1.0	1.0	NUM
iajs-2291	187	13	0.5	0.5	NUM
iajs-2291	187	14	0.0	0.0	NUM
iajs-2291	187	15	0.5	0.5	NUM
iajs-2291	187	16	1.0	1.0	NUM
iajs-2291	187	17	p	p	NOUN
iajs-2291	187	18	a	a	DET
iajs-2291	187	19	b	b	NOUN
iajs-2291	187	20	c	c	NOUN
iajs-2291	187	21	d	d	SYM
iajs-2291	187	22	150	150	NUM
iajs-2291	187	23	ibn	ibn	PROPN
iajs-2291	187	24	al	al	PROPN
iajs-2291	187	25	-	-	PUNCT
iajs-2291	187	26	haitham	haitham	PROPN
iajs-2291	187	27	jour	jour	X
iajs-2291	187	28	.	.	PROPN
iajs-2291	188	1	for	for	ADP
iajs-2291	188	2	pure	pure	ADJ
iajs-2291	188	3	&	&	CCONJ
iajs-2291	188	4	appl	appl	PROPN
iajs-2291	188	5	.	.	PUNCT
iajs-2291	189	1	sci	sci	PROPN
iajs-2291	189	2	.	.	PROPN
iajs-2291	189	3	32	32	NUM
iajs-2291	189	4	(	(	PUNCT
iajs-2291	189	5	3	3	NUM
iajs-2291	189	6	)	)	PUNCT
iajs-2291	189	7	2019	2019	NUM
iajs-2291	189	8	figure	figure	NOUN
iajs-2291	189	9	19	19	NUM
iajs-2291	189	10	.	.	PUNCT
iajs-2291	189	11	stream	stream	NOUN
iajs-2291	189	12	lines	line	NOUN
iajs-2291	189	13	for	for	ADP
iajs-2291	189	14	variation	variation	NOUN
iajs-2291	189	15	of	of	ADP
iajs-2291	189	16	𝜙	𝜙	NOUN
iajs-2291	189	17	and	and	CCONJ
iajs-2291	189	18	fixed	fix	VERB
iajs-2291	189	19	{	{	PUNCT
iajs-2291	189	20	𝑘	𝑘	NOUN
iajs-2291	189	21	=	=	NOUN
iajs-2291	189	22	100	100	NUM
iajs-2291	189	23	,	,	PUNCT
iajs-2291	189	24	𝐹	𝐹	PROPN
iajs-2291	189	25	=	=	NOUN
iajs-2291	189	26	1	1	NUM
iajs-2291	189	27	}	}	PUNCT
iajs-2291	189	28	,	,	PUNCT
iajs-2291	189	29	𝜙	𝜙	NOUN
iajs-2291	189	30	=	=	SYM
iajs-2291	189	31	1	1	NUM
iajs-2291	189	32	,	,	PUNCT
iajs-2291	189	33	𝜙	𝜙	NOUN
iajs-2291	189	34	=	=	SYM
iajs-2291	189	35	1.5	1.5	NUM
iajs-2291	189	36	,	,	PUNCT
iajs-2291	189	37	𝜙	𝜙	NOUN
iajs-2291	189	38	=	=	SYM
iajs-2291	189	39	2	2	X
iajs-2291	189	40	.	.	PUNCT
iajs-2291	190	1	figure	figure	NOUN
iajs-2291	190	2	20	20	NUM
iajs-2291	190	3	.	.	PUNCT
iajs-2291	191	1	stream	stream	NOUN
iajs-2291	191	2	lines	line	NOUN
iajs-2291	191	3	for	for	ADP
iajs-2291	191	4	variation	variation	NOUN
iajs-2291	191	5	of	of	ADP
iajs-2291	191	6	𝜙	𝜙	NOUN
iajs-2291	191	7	and	and	CCONJ
iajs-2291	191	8	fixed	fix	VERB
iajs-2291	191	9	{	{	PUNCT
iajs-2291	191	10	𝑘	𝑘	NOUN
iajs-2291	191	11	=	=	SYM
iajs-2291	191	12	5	5	NUM
iajs-2291	191	13	,	,	PUNCT
iajs-2291	191	14	𝐹	𝐹	PROPN
iajs-2291	191	15	=	=	NOUN
iajs-2291	191	16	1	1	NUM
iajs-2291	191	17	}	}	PUNCT
iajs-2291	191	18	and	and	CCONJ
iajs-2291	191	19	𝜙	𝜙	NOUN
iajs-2291	191	20	=	=	SYM
iajs-2291	191	21	1	1	NUM
iajs-2291	191	22	,	,	PUNCT
iajs-2291	191	23	𝜙	𝜙	NOUN
iajs-2291	191	24	=	=	SYM
iajs-2291	191	25	1.5	1.5	NUM
iajs-2291	191	26	,	,	PUNCT
iajs-2291	191	27	𝜙	𝜙	NOUN
iajs-2291	191	28	=	=	SYM
iajs-2291	191	29	2	2	X
iajs-2291	191	30	.	.	PUNCT
iajs-2291	191	31	figure	figure	NOUN
iajs-2291	191	32	21	21	NUM
iajs-2291	191	33	.	.	PUNCT
iajs-2291	192	1	stream	stream	NOUN
iajs-2291	192	2	lines	line	NOUN
iajs-2291	192	3	for	for	ADP
iajs-2291	192	4	variation	variation	NOUN
iajs-2291	192	5	of	of	ADP
iajs-2291	192	6	𝐹	𝐹	PROPN
iajs-2291	192	7	and	and	CCONJ
iajs-2291	192	8	fixed	fix	VERB
iajs-2291	192	9	{	{	PUNCT
iajs-2291	192	10	𝜙	𝜙	NOUN
iajs-2291	192	11	=	=	SYM
iajs-2291	192	12	1	1	NUM
iajs-2291	192	13	,	,	PUNCT
iajs-2291	192	14	𝑘	𝑘	PRON
iajs-2291	192	15	=	=	NOUN
iajs-2291	192	16	100	100	NUM
iajs-2291	192	17	}	}	PUNCT
iajs-2291	192	18	and	and	CCONJ
iajs-2291	192	19	𝐹	𝐹	PROPN
iajs-2291	192	20	=	=	NOUN
iajs-2291	192	21	1	1	NUM
iajs-2291	192	22	,	,	PUNCT
iajs-2291	192	23	𝐹	𝐹	PROPN
iajs-2291	192	24	=	=	NOUN
iajs-2291	192	25	2	2	NUM
iajs-2291	192	26	,	,	PUNCT
iajs-2291	192	27	𝐹	𝐹	PROPN
iajs-2291	192	28	=	=	SYM
iajs-2291	192	29	3	3	X
iajs-2291	192	30	.	.	NOUN
iajs-2291	192	31	figure	figure	NOUN
iajs-2291	192	32	22.stream	22.stream	NUM
iajs-2291	192	33	lines	line	NOUN
iajs-2291	192	34	for	for	ADP
iajs-2291	192	35	variation	variation	NOUN
iajs-2291	192	36	of	of	ADP
iajs-2291	192	37	𝐹	𝐹	PROPN
iajs-2291	192	38	and	and	CCONJ
iajs-2291	192	39	fixed	fix	VERB
iajs-2291	192	40	{	{	PUNCT
iajs-2291	192	41	𝜙	𝜙	NOUN
iajs-2291	192	42	=	=	SYM
iajs-2291	192	43	1	1	NUM
iajs-2291	192	44	,	,	PUNCT
iajs-2291	192	45	𝑘	𝑘	X
iajs-2291	192	46	=	=	SYM
iajs-2291	192	47	5	5	NUM
iajs-2291	192	48	}	}	PUNCT
iajs-2291	192	49	and	and	CCONJ
iajs-2291	192	50	𝐹	𝐹	PROPN
iajs-2291	192	51	=	=	NOUN
iajs-2291	192	52	1	1	NUM
iajs-2291	192	53	,	,	PUNCT
iajs-2291	192	54	𝐹	𝐹	PROPN
iajs-2291	192	55	=	=	NOUN
iajs-2291	192	56	2	2	NUM
iajs-2291	192	57	,	,	PUNCT
iajs-2291	192	58	𝐹	𝐹	PROPN
iajs-2291	192	59	=	=	NOUN
iajs-2291	192	60	3	3	NUM
iajs-2291	192	61	.	.	NOUN
iajs-2291	192	62	5	5	NUM
iajs-2291	192	63	.	.	X
iajs-2291	192	64	conclusion	conclusion	NOUN
iajs-2291	192	65	in	in	ADP
iajs-2291	192	66	this	this	DET
iajs-2291	192	67	paper	paper	NOUN
iajs-2291	192	68	the	the	DET
iajs-2291	192	69	peristaltic	peristaltic	ADJ
iajs-2291	192	70	transport	transport	NOUN
iajs-2291	192	71	of	of	ADP
iajs-2291	192	72	bingham	bingham	PROPN
iajs-2291	192	73	plastic	plastic	NOUN
iajs-2291	192	74	fluid	fluid	NOUN
iajs-2291	192	75	in	in	ADP
iajs-2291	192	76	a	a	DET
iajs-2291	192	77	curved	curved	ADJ
iajs-2291	192	78	channel	channel	NOUN
iajs-2291	192	79	is	be	AUX
iajs-2291	192	80	examined	examine	VERB
iajs-2291	192	81	.	.	PUNCT
iajs-2291	193	1	important	important	ADJ
iajs-2291	193	2	findings	finding	NOUN
iajs-2291	193	3	of	of	ADP
iajs-2291	193	4	the	the	DET
iajs-2291	193	5	analysis	analysis	NOUN
iajs-2291	193	6	have	have	AUX
iajs-2291	193	7	been	be	AUX
iajs-2291	193	8	written	write	VERB
iajs-2291	193	9	as	as	SCONJ
iajs-2291	193	10	follows	follow	VERB
iajs-2291	193	11	:	:	PUNCT
iajs-2291	193	12	a	a	DET
iajs-2291	193	13	c	c	NOUN
iajs-2291	193	14	a	a	DET
iajs-2291	193	15	b	b	NOUN
iajs-2291	193	16	c	c	NOUN
iajs-2291	193	17	a	a	DET
iajs-2291	193	18	b	b	NOUN
iajs-2291	193	19	c	c	NOUN
iajs-2291	193	20	a	a	DET
iajs-2291	193	21	b	b	PROPN
iajs-2291	193	22	c	c	PROPN
iajs-2291	193	23	151	151	NUM
iajs-2291	193	24	ibn	ibn	PROPN
iajs-2291	193	25	al	al	PROPN
iajs-2291	193	26	-	-	PUNCT
iajs-2291	193	27	haitham	haitham	PROPN
iajs-2291	193	28	jour	jour	X
iajs-2291	193	29	.	.	PROPN
iajs-2291	194	1	for	for	ADP
iajs-2291	194	2	pure	pure	ADJ
iajs-2291	194	3	&	&	CCONJ
iajs-2291	194	4	appl	appl	PROPN
iajs-2291	194	5	.	.	PUNCT
iajs-2291	195	1	sci	sci	PROPN
iajs-2291	195	2	.	.	PROPN
iajs-2291	195	3	32	32	NUM
iajs-2291	195	4	(	(	PUNCT
iajs-2291	195	5	3	3	NUM
iajs-2291	195	6	)	)	PUNCT
iajs-2291	195	7	2019	2019	NUM
iajs-2291	195	8	1	1	NUM
iajs-2291	195	9	.	.	PUNCT
iajs-2291	196	1	the	the	DET
iajs-2291	196	2	axial	axial	ADJ
iajs-2291	196	3	velocity	velocity	NOUN
iajs-2291	196	4	is	be	AUX
iajs-2291	196	5	an	an	DET
iajs-2291	196	6	increasing	increase	VERB
iajs-2291	196	7	function	function	NOUN
iajs-2291	196	8	near	near	ADP
iajs-2291	196	9	the	the	DET
iajs-2291	196	10	walls	wall	NOUN
iajs-2291	196	11	under	under	ADP
iajs-2291	196	12	the	the	DET
iajs-2291	196	13	effect	effect	NOUN
iajs-2291	196	14	of	of	ADP
iajs-2291	196	15	the	the	DET
iajs-2291	196	16	parameter	parameter	NOUN
iajs-2291	196	17	𝜙	𝜙	PROPN
iajs-2291	196	18	and	and	CCONJ
iajs-2291	196	19	a	a	DET
iajs-2291	196	20	decreasing	decrease	VERB
iajs-2291	196	21	function	function	NOUN
iajs-2291	196	22	at	at	ADP
iajs-2291	196	23	the	the	DET
iajs-2291	196	24	central	central	ADJ
iajs-2291	196	25	part	part	NOUN
iajs-2291	196	26	of	of	ADP
iajs-2291	196	27	the	the	DET
iajs-2291	196	28	channel	channel	NOUN
iajs-2291	196	29	.	.	PUNCT
iajs-2291	197	1	however	however	ADV
iajs-2291	197	2	the	the	DET
iajs-2291	197	3	situation	situation	NOUN
iajs-2291	197	4	is	be	AUX
iajs-2291	197	5	reversed	reverse	VERB
iajs-2291	197	6	for	for	ADP
iajs-2291	197	7	the	the	DET
iajs-2291	197	8	increase	increase	NOUN
iajs-2291	197	9	of	of	ADP
iajs-2291	197	10	flow	flow	NOUN
iajs-2291	197	11	rate	rate	NOUN
iajs-2291	197	12	.	.	PUNCT
iajs-2291	198	1	2	2	X
iajs-2291	198	2	.	.	X
iajs-2291	198	3	a	a	DET
iajs-2291	198	4	mixed	mixed	ADJ
iajs-2291	198	5	behavior	behavior	NOUN
iajs-2291	198	6	of	of	ADP
iajs-2291	198	7	local	local	ADJ
iajs-2291	198	8	shear	shear	NOUN
iajs-2291	198	9	stress	stress	NOUN
iajs-2291	198	10	is	be	AUX
iajs-2291	198	11	noticed	notice	VERB
iajs-2291	198	12	due	due	ADJ
iajs-2291	198	13	to	to	ADP
iajs-2291	198	14	an	an	DET
iajs-2291	198	15	increase	increase	NOUN
iajs-2291	198	16	of	of	ADP
iajs-2291	198	17	𝜙.	𝜙.	NOUN
iajs-2291	198	18	shear	shear	NOUN
iajs-2291	198	19	stress	stress	NOUN
iajs-2291	198	20	is	be	AUX
iajs-2291	198	21	an	an	DET
iajs-2291	198	22	increasing	increase	VERB
iajs-2291	198	23	function	function	NOUN
iajs-2291	198	24	to	to	ADP
iajs-2291	198	25	the	the	DET
iajs-2291	198	26	increase	increase	NOUN
iajs-2291	198	27	of	of	ADP
iajs-2291	198	28	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	198	29	and	and	CCONJ
iajs-2291	198	30	small	small	ADJ
iajs-2291	198	31	values	value	NOUN
iajs-2291	198	32	of	of	ADP
iajs-2291	198	33	𝑘	𝑘	PRON
iajs-2291	198	34	,	,	PUNCT
iajs-2291	198	35	however	however	ADV
iajs-2291	198	36	the	the	DET
iajs-2291	198	37	situation	situation	NOUN
iajs-2291	198	38	is	be	AUX
iajs-2291	198	39	opposite	opposite	ADJ
iajs-2291	198	40	for	for	ADP
iajs-2291	198	41	the	the	DET
iajs-2291	198	42	increase	increase	NOUN
iajs-2291	198	43	of	of	ADP
iajs-2291	198	44	𝐹.	𝐹.	PROPN
iajs-2291	198	45	3	3	NUM
iajs-2291	198	46	.	.	PUNCT
iajs-2291	199	1	the	the	DET
iajs-2291	199	2	magnitude	magnitude	NOUN
iajs-2291	199	3	of	of	ADP
iajs-2291	199	4	pressure	pressure	NOUN
iajs-2291	199	5	gradient	gradient	NOUN
iajs-2291	199	6	decreases	decrease	VERB
iajs-2291	199	7	with	with	ADP
iajs-2291	199	8	an	an	DET
iajs-2291	199	9	increase	increase	NOUN
iajs-2291	199	10	of	of	ADP
iajs-2291	199	11	𝜙	𝜙	NOUN
iajs-2291	199	12	and	and	CCONJ
iajs-2291	199	13	𝐵𝑛.	𝐵𝑛.	PROPN
iajs-2291	200	1	however	however	ADV
iajs-2291	200	2	the	the	DET
iajs-2291	200	3	response	response	NOUN
iajs-2291	200	4	is	be	AUX
iajs-2291	200	5	completely	completely	ADV
iajs-2291	200	6	reverse	reverse	ADJ
iajs-2291	200	7	with	with	ADP
iajs-2291	200	8	an	an	DET
iajs-2291	200	9	increase	increase	NOUN
iajs-2291	200	10	of	of	ADP
iajs-2291	200	11	𝑘.	𝑘.	NOUN
iajs-2291	200	12	4	4	NUM
iajs-2291	200	13	.	.	PUNCT
iajs-2291	201	1	in	in	ADP
iajs-2291	201	2	the	the	DET
iajs-2291	201	3	pumping	pumping	NOUN
iajs-2291	201	4	regions	region	NOUN
iajs-2291	201	5	,	,	PUNCT
iajs-2291	201	6	the	the	DET
iajs-2291	201	7	pumping	pumping	NOUN
iajs-2291	201	8	rate	rate	NOUN
iajs-2291	201	9	increased	increase	VERB
iajs-2291	201	10	in	in	ADP
iajs-2291	201	11	the	the	DET
iajs-2291	201	12	peristaltic	peristaltic	ADJ
iajs-2291	201	13	pumping	pumping	NOUN
iajs-2291	201	14	region	region	NOUN
iajs-2291	201	15	via	via	ADP
iajs-2291	201	16	increasing	increase	VERB
iajs-2291	201	17	of	of	ADP
iajs-2291	201	18	𝜙	𝜙	PROPN
iajs-2291	201	19	and	and	CCONJ
iajs-2291	201	20	𝐵𝑛	𝐵𝑛	PROPN
iajs-2291	201	21	,	,	PUNCT
iajs-2291	201	22	while	while	SCONJ
iajs-2291	201	23	the	the	DET
iajs-2291	201	24	pumping	pumping	NOUN
iajs-2291	201	25	rate	rate	NOUN
iajs-2291	201	26	increased	increase	VERB
iajs-2291	201	27	in	in	ADP
iajs-2291	201	28	the	the	DET
iajs-2291	201	29	co	co	ADJ
iajs-2291	201	30	-	-	ADJ
iajs-2291	201	31	pumping	pumping	ADJ
iajs-2291	201	32	region	region	NOUN
iajs-2291	201	33	with	with	ADP
iajs-2291	201	34	an	an	DET
iajs-2291	201	35	increase	increase	NOUN
iajs-2291	201	36	of	of	ADP
iajs-2291	201	37	𝑘	𝑘	PROPN
iajs-2291	201	38	and	and	CCONJ
iajs-2291	201	39	𝐵𝑛.	𝐵𝑛.	PROPN
iajs-2291	201	40	5	5	NUM
iajs-2291	201	41	.	.	PUNCT
iajs-2291	202	1	the	the	DET
iajs-2291	202	2	size	size	NOUN
iajs-2291	202	3	of	of	ADP
iajs-2291	202	4	the	the	DET
iajs-2291	202	5	trapped	trap	VERB
iajs-2291	202	6	bolus	bolus	ADJ
iajs-2291	202	7	increases	increase	NOUN
iajs-2291	202	8	with	with	ADP
iajs-2291	202	9	an	an	DET
iajs-2291	202	10	increase	increase	NOUN
iajs-2291	202	11	of	of	ADP
iajs-2291	202	12	𝜙	𝜙	PROPN
iajs-2291	202	13	and	and	CCONJ
iajs-2291	202	14	𝐹	𝐹	PROPN
iajs-2291	202	15	but	but	CCONJ
iajs-2291	202	16	the	the	DET
iajs-2291	202	17	size	size	NOUN
iajs-2291	202	18	and	and	CCONJ
iajs-2291	202	19	shape	shape	NOUN
iajs-2291	202	20	of	of	ADP
iajs-2291	202	21	the	the	DET
iajs-2291	202	22	trapped	trap	VERB
iajs-2291	202	23	bolus	bolus	NOUN
iajs-2291	202	24	is	be	AUX
iajs-2291	202	25	not	not	PART
iajs-2291	202	26	symmetric	symmetric	ADJ
iajs-2291	202	27	in	in	ADP
iajs-2291	202	28	case	case	NOUN
iajs-2291	202	29	of	of	ADP
iajs-2291	202	30	small	small	ADJ
iajs-2291	202	31	values	value	NOUN
iajs-2291	202	32	of	of	ADP
iajs-2291	202	33	𝑘	𝑘	PRON
iajs-2291	202	34	and	and	CCONJ
iajs-2291	202	35	symmetric	symmetric	ADJ
iajs-2291	202	36	in	in	ADP
iajs-2291	202	37	case	case	NOUN
iajs-2291	202	38	of	of	ADP
iajs-2291	202	39	large	large	ADJ
iajs-2291	202	40	values	value	NOUN
iajs-2291	202	41	of	of	ADP
iajs-2291	202	42	𝑘.	𝑘.	ADJ
iajs-2291	202	43	references	reference	NOUN
iajs-2291	202	44	1	1	NUM
iajs-2291	202	45	.	.	PUNCT
iajs-2291	202	46	adnan	adnan	PROPN
iajs-2291	202	47	,	,	PUNCT
iajs-2291	202	48	f.a	f.a	PROPN
iajs-2291	202	49	.	.	PROPN
iajs-2291	202	50	;	;	PUNCT
iajs-2291	202	51	abdualhadi	abdualhadi	NOUN
iajs-2291	202	52	,	,	PUNCT
iajs-2291	202	53	a.m.	a.m.	ADV
iajs-2291	202	54	effect	effect	NOUN
iajs-2291	202	55	of	of	ADP
iajs-2291	202	56	the	the	DET
iajs-2291	202	57	magnetic	magnetic	ADJ
iajs-2291	202	58	field	field	NOUN
iajs-2291	202	59	on	on	ADP
iajs-2291	202	60	a	a	DET
iajs-2291	202	61	peristaltic	peristaltic	ADJ
iajs-2291	202	62	transport	transport	NOUN
iajs-2291	202	63	of	of	ADP
iajs-2291	202	64	bingham	bingham	PROPN
iajs-2291	202	65	plastic	plastic	NOUN
iajs-2291	202	66	fluid	fluid	NOUN
iajs-2291	202	67	.	.	PUNCT
iajs-2291	203	1	jour	jour	X
iajs-2291	203	2	.	.	PROPN
iajs-2291	203	3	of	of	ADP
iajs-2291	203	4	adv	adv	PROPN
iajs-2291	203	5	.	.	PUNCT
iajs-2291	203	6	research	research	NOUN
iajs-2291	203	7	and	and	CCONJ
iajs-2291	203	8	control.2018	control.2018	PROPN
iajs-2291	203	9	,	,	PUNCT
iajs-2291	203	10	10	10	NUM
iajs-2291	203	11	,	,	PUNCT
iajs-2291	203	12	10	10	NUM
iajs-2291	203	13	,	,	PUNCT
iajs-2291	203	14	2007	2007	NUM
iajs-2291	203	15	-	-	SYM
iajs-2291	203	16	2024	2024	NUM
iajs-2291	203	17	.	.	PUNCT
iajs-2291	204	1	2	2	NUM
iajs-2291	204	2	.	.	X
iajs-2291	204	3	ahmad	ahmad	PROPN
iajs-2291	204	4	,	,	PUNCT
iajs-2291	204	5	t.s	t.s	PROPN
iajs-2291	204	6	.	.	PROPN
iajs-2291	204	7	;	;	PUNCT
iajs-2291	204	8	abdulhadi	abdulhadi	PROPN
iajs-2291	204	9	,	,	PUNCT
iajs-2291	204	10	a.m.	a.m.	ADV
iajs-2291	204	11	effect	effect	NOUN
iajs-2291	204	12	of	of	ADP
iajs-2291	204	13	a	a	DET
iajs-2291	204	14	magnetic	magnetic	ADJ
iajs-2291	204	15	field	field	NOUN
iajs-2291	204	16	on	on	ADP
iajs-2291	204	17	peristaltic	peristaltic	ADJ
iajs-2291	204	18	flow	flow	NOUN
iajs-2291	204	19	of	of	ADP
iajs-2291	204	20	jeffery	jeffery	PROPN
iajs-2291	204	21	fluid	fluid	NOUN
iajs-2291	204	22	through	through	ADP
iajs-2291	204	23	a	a	DET
iajs-2291	204	24	porous	porous	ADJ
iajs-2291	204	25	medium	medium	NOUN
iajs-2291	204	26	in	in	ADP
iajs-2291	204	27	a	a	DET
iajs-2291	204	28	tapered	tapered	ADJ
iajs-2291	204	29	asymmetric	asymmetric	ADJ
iajs-2291	204	30	channel	channel	NOUN
iajs-2291	204	31	.	.	PUNCT
iajs-2291	205	1	global	global	ADJ
iajs-2291	205	2	journal	journal	NOUN
iajs-2291	205	3	of	of	ADP
iajs-2291	205	4	mathematics.2017	mathematics.2017	PROPN
iajs-2291	205	5	,	,	PUNCT
iajs-2291	205	6	9	9	NUM
iajs-2291	205	7	,	,	PUNCT
iajs-2291	205	8	2	2	NUM
iajs-2291	205	9	,	,	PUNCT
iajs-2291	205	10	6889	6889	NUM
iajs-2291	205	11	-	-	SYM
iajs-2291	205	12	6893	6893	NUM
iajs-2291	205	13	.	.	PUNCT
iajs-2291	206	1	3	3	X
iajs-2291	206	2	.	.	X
iajs-2291	206	3	adnan	adnan	PROPN
iajs-2291	206	4	,	,	PUNCT
iajs-2291	206	5	f.a	f.a	PROPN
iajs-2291	206	6	.	.	PROPN
iajs-2291	206	7	;	;	PUNCT
iajs-2291	206	8	abdualhadi	abdualhadi	NOUN
iajs-2291	206	9	,	,	PUNCT
iajs-2291	206	10	a.m.	a.m.	ADV
iajs-2291	206	11	effect	effect	NOUN
iajs-2291	206	12	of	of	ADP
iajs-2291	206	13	a	a	DET
iajs-2291	206	14	magnetic	magnetic	ADJ
iajs-2291	206	15	field	field	NOUN
iajs-2291	206	16	on	on	ADP
iajs-2291	206	17	a	a	DET
iajs-2291	206	18	peristaltic	peristaltic	ADJ
iajs-2291	206	19	transport	transport	NOUN
iajs-2291	206	20	of	of	ADP
iajs-2291	206	21	bingham	bingham	PROPN
iajs-2291	206	22	plastic	plastic	NOUN
iajs-2291	206	23	fluid	fluid	NOUN
iajs-2291	206	24	in	in	ADP
iajs-2291	206	25	a	a	DET
iajs-2291	206	26	symmetrical	symmetrical	ADJ
iajs-2291	206	27	channel	channel	NOUN
iajs-2291	206	28	.	.	PUNCT
iajs-2291	207	1	sci	sci	PROPN
iajs-2291	207	2	.	.	PUNCT
iajs-2291	207	3	int	int	PROPN
iajs-2291	207	4	.	.	PUNCT
iajs-2291	208	1	(	(	PUNCT
iajs-2291	208	2	lhore).2019	lhore).2019	PROPN
iajs-2291	208	3	,	,	PUNCT
iajs-2291	208	4	31	31	NUM
iajs-2291	208	5	,	,	PUNCT
iajs-2291	208	6	1	1	NUM
iajs-2291	208	7	,	,	PUNCT
iajs-2291	208	8	29	29	NUM
iajs-2291	208	9	-	-	SYM
iajs-2291	208	10	40	40	NUM
iajs-2291	208	11	4	4	NUM
iajs-2291	208	12	.	.	PUNCT
iajs-2291	208	13	ahmad	ahmad	PROPN
iajs-2291	208	14	,	,	PUNCT
iajs-2291	208	15	t.s	t.s	PROPN
iajs-2291	208	16	.	.	PROPN
iajs-2291	208	17	;	;	PUNCT
iajs-2291	208	18	abdulhadi	abdulhadi	PROPN
iajs-2291	208	19	,	,	PUNCT
iajs-2291	208	20	a.m.	a.m.	NOUN
iajs-2291	208	21	peristaltic	peristaltic	ADJ
iajs-2291	208	22	transport	transport	NOUN
iajs-2291	208	23	of	of	ADP
iajs-2291	208	24	mhd	mhd	NOUN
iajs-2291	208	25	flow	flow	NOUN
iajs-2291	208	26	and	and	CCONJ
iajs-2291	208	27	heat	heat	NOUN
iajs-2291	208	28	transfer	transfer	NOUN
iajs-2291	208	29	in	in	ADP
iajs-2291	208	30	a	a	DET
iajs-2291	208	31	tapered	tapered	ADJ
iajs-2291	208	32	asymmetric	asymmetric	ADJ
iajs-2291	208	33	channel	channel	NOUN
iajs-2291	208	34	through	through	ADP
iajs-2291	208	35	porous	porous	ADJ
iajs-2291	208	36	medium	medium	NOUN
iajs-2291	208	37	:	:	PUNCT
iajs-2291	208	38	effect	effect	NOUN
iajs-2291	208	39	of	of	ADP
iajs-2291	208	40	variable	variable	ADJ
iajs-2291	208	41	viscosity	viscosity	NOUN
iajs-2291	208	42	,	,	PUNCT
iajs-2291	208	43	velocity	velocity	NOUN
iajs-2291	208	44	–	–	PUNCT
iajs-2291	208	45	non	non	X
iajs-2291	208	46	slip	slip	NOUN
iajs-2291	208	47	and	and	CCONJ
iajs-2291	208	48	temperature	temperature	NOUN
iajs-2291	208	49	jump	jump	NOUN
iajs-2291	208	50	.	.	PUNCT
iajs-2291	209	1	international	international	ADJ
iajs-2291	209	2	journal	journal	NOUN
iajs-2291	209	3	of	of	ADP
iajs-2291	209	4	advance	advance	NOUN
iajs-2291	209	5	scientific	scientific	ADJ
iajs-2291	209	6	and	and	CCONJ
iajs-2291	209	7	technical	technical	ADJ
iajs-2291	209	8	research.2017	research.2017	PROPN
iajs-2291	209	9	,	,	PUNCT
iajs-2291	209	10	7	7	NUM
iajs-2291	209	11	,	,	PUNCT
iajs-2291	209	12	2	2	NUM
iajs-2291	209	13	,	,	PUNCT
iajs-2291	209	14	53	53	NUM
iajs-2291	209	15	-	-	SYM
iajs-2291	209	16	69	69	NUM
iajs-2291	209	17	.	.	PUNCT
iajs-2291	210	1	5	5	NUM
iajs-2291	210	2	.	.	X
iajs-2291	210	3	ali	ali	PROPN
iajs-2291	210	4	,	,	PUNCT
iajs-2291	210	5	n.	n.	PROPN
iajs-2291	210	6	;	;	PUNCT
iajs-2291	210	7	sajid	sajid	PROPN
iajs-2291	210	8	,	,	PUNCT
iajs-2291	210	9	m.	m.	NOUN
iajs-2291	210	10	;	;	PUNCT
iajs-2291	210	11	abbas	abbas	PROPN
iajs-2291	210	12	,	,	PUNCT
iajs-2291	210	13	z.	z.	PROPN
iajs-2291	210	14	nonnewtonian	nonnewtonian	PROPN
iajs-2291	210	15	fluid	fluid	NOUN
iajs-2291	210	16	induced	induce	VERB
iajs-2291	210	17	by	by	ADP
iajs-2291	210	18	peristaltic	peristaltic	ADJ
iajs-2291	210	19	waves	wave	NOUN
iajs-2291	210	20	in	in	ADP
iajs-2291	210	21	a	a	DET
iajs-2291	210	22	curved	curved	ADJ
iajs-2291	210	23	channel	channel	NOUN
iajs-2291	210	24	.	.	PUNCT
iajs-2291	211	1	european	european	PROPN
iajs-2291	211	2	journal	journal	PROPN
iajs-2291	211	3	of	of	ADP
iajs-2291	211	4	mechanic	mechanic	PROPN
iajs-2291	211	5	b	b	PROPN
iajs-2291	211	6	/	/	SYM
iajs-2291	211	7	fluids.2010	fluids.2010	PROPN
iajs-2291	211	8	,	,	PUNCT
iajs-2291	211	9	29	29	NUM
iajs-2291	211	10	,	,	PUNCT
iajs-2291	211	11	387	387	NUM
iajs-2291	211	12	-	-	SYM
iajs-2291	211	13	394	394	NUM
iajs-2291	211	14	.	.	NOUN
iajs-2291	212	1	6	6	NUM
iajs-2291	212	2	.	.	X
iajs-2291	212	3	hayat	hayat	PROPN
iajs-2291	212	4	,	,	PUNCT
iajs-2291	212	5	t.	t.	PROPN
iajs-2291	212	6	;	;	PUNCT
iajs-2291	212	7	javed	javed	ADJ
iajs-2291	212	8	,	,	PUNCT
iajs-2291	212	9	m.	m.	NOUN
iajs-2291	212	10	;	;	PUNCT
iajs-2291	212	11	hendi	hendi	PROPN
iajs-2291	212	12	,	,	PUNCT
iajs-2291	212	13	a.	a.	NOUN
iajs-2291	212	14	peristaltic	peristaltic	ADJ
iajs-2291	212	15	transport	transport	NOUN
iajs-2291	212	16	of	of	ADP
iajs-2291	212	17	viscous	viscous	ADJ
iajs-2291	212	18	fluid	fluid	NOUN
iajs-2291	212	19	in	in	ADP
iajs-2291	212	20	curved	curved	ADJ
iajs-2291	212	21	channel	channel	NOUN
iajs-2291	212	22	with	with	ADP
iajs-2291	212	23	compliant	compliant	ADJ
iajs-2291	212	24	walls	wall	NOUN
iajs-2291	212	25	.	.	PUNCT
iajs-2291	213	1	international	international	ADJ
iajs-2291	213	2	journal	journal	PROPN
iajs-2291	213	3	of	of	ADP
iajs-2291	213	4	heat	heat	NOUN
iajs-2291	213	5	and	and	CCONJ
iajs-2291	213	6	mass	mass	NOUN
iajs-2291	213	7	transfer.2011	transfer.2011	NOUN
iajs-2291	213	8	,	,	PUNCT
iajs-2291	213	9	54	54	NUM
iajs-2291	213	10	,	,	PUNCT
iajs-2291	213	11	16151621	16151621	NUM
iajs-2291	213	12	.	.	PUNCT
iajs-2291	214	1	7	7	X
iajs-2291	214	2	.	.	X
iajs-2291	214	3	ahmad	ahmad	PROPN
iajs-2291	214	4	,	,	PUNCT
iajs-2291	214	5	t.s	t.s	PROPN
iajs-2291	214	6	.	.	PROPN
iajs-2291	214	7	;	;	PUNCT
iajs-2291	214	8	abdualhadi	abdualhadi	NOUN
iajs-2291	214	9	,	,	PUNCT
iajs-2291	214	10	a.m.	a.m.	ADV
iajs-2291	214	11	effect	effect	NOUN
iajs-2291	214	12	of	of	ADP
iajs-2291	214	13	radial	radial	ADJ
iajs-2291	214	14	magnetic	magnetic	ADJ
iajs-2291	214	15	field	field	NOUN
iajs-2291	214	16	on	on	ADP
iajs-2291	214	17	peristaltic	peristaltic	ADJ
iajs-2291	214	18	transport	transport	NOUN
iajs-2291	214	19	of	of	ADP
iajs-2291	214	20	jeffrey	jeffrey	PROPN
iajs-2291	214	21	fluid	fluid	NOUN
iajs-2291	214	22	in	in	ADP
iajs-2291	214	23	curved	curved	ADJ
iajs-2291	214	24	channel	channel	NOUN
iajs-2291	214	25	with	with	ADP
iajs-2291	214	26	heat	heat	NOUN
iajs-2291	214	27	and	and	CCONJ
iajs-2291	214	28	mass	mass	NOUN
iajs-2291	214	29	transfer	transfer	NOUN
iajs-2291	214	30	.	.	PUNCT
iajs-2291	215	1	journal	journal	NOUN
iajs-2291	215	2	of	of	ADP
iajs-2291	215	3	physics	physics	PROPN
iajs-2291	215	4	.	.	PUNCT
iajs-2291	216	1	conference	conference	NOUN
iajs-2291	216	2	iop.2018	iop.2018	NOUN
iajs-2291	216	3	,	,	PUNCT
iajs-2291	216	4	1003	1003	NUM
iajs-2291	216	5	,	,	PUNCT
iajs-2291	216	6	12053	12053	NUM
iajs-2291	216	7	,	,	PUNCT
iajs-2291	216	8	1	1	NUM
iajs-2291	216	9	-	-	SYM
iajs-2291	216	10	28	28	NUM
iajs-2291	216	11	.	.	NOUN
iajs-2291	216	12	8	8	NUM
iajs-2291	216	13	.	.	PUNCT
iajs-2291	217	1	kalantari	kalantari	PROPN
iajs-2291	217	2	,	,	PUNCT
iajs-2291	217	3	a.	a.	NOUN
iajs-2291	217	4	;	;	PUNCT
iajs-2291	217	5	riasiand	riasiand	NOUN
iajs-2291	217	6	,	,	PUNCT
iajs-2291	217	7	a.	a.	NOUN
iajs-2291	217	8	;	;	PUNCT
iajs-2291	217	9	sadeghy	sadeghy	PROPN
iajs-2291	217	10	,	,	PUNCT
iajs-2291	217	11	k.	k.	NOUN
iajs-2291	218	1	peristaltic	peristaltic	ADJ
iajs-2291	218	2	flow	flow	NOUN
iajs-2291	218	3	of	of	ADP
iajs-2291	218	4	giesekus	gieseku	NOUN
iajs-2291	218	5	fluid	fluid	NOUN
iajs-2291	218	6	through	through	ADP
iajs-2291	218	7	curved	curved	ADJ
iajs-2291	218	8	channels	channel	NOUN
iajs-2291	218	9	:	:	PUNCT
iajs-2291	218	10	an	an	DET
iajs-2291	218	11	approximate	approximate	ADJ
iajs-2291	218	12	solution	solution	NOUN
iajs-2291	218	13	.	.	PUNCT
iajs-2291	219	1	journal	journal	NOUN
iajs-2291	219	2	of	of	ADP
iajs-2291	219	3	the	the	DET
iajs-2291	219	4	society	society	NOUN
iajs-2291	219	5	of	of	ADP
iajs-2291	219	6	rholugy	rholugy	PROPN
iajs-2291	219	7	japan.2014	japan.2014	PROPN
iajs-2291	219	8	,	,	PUNCT
iajs-2291	219	9	42	42	NUM
iajs-2291	219	10	,	,	PUNCT
iajs-2291	219	11	1	1	NUM
iajs-2291	219	12	,	,	PUNCT
iajs-2291	219	13	917	917	NUM
iajs-2291	219	14	.	.	NOUN
iajs-2291	219	15	9	9	NUM
iajs-2291	219	16	.	.	X
iajs-2291	219	17	norenn	norenn	PROPN
iajs-2291	219	18	,	,	PUNCT
iajs-2291	219	19	s.	s.	PROPN
iajs-2291	219	20	;	;	PUNCT
iajs-2291	219	21	hayat	hayat	PROPN
iajs-2291	219	22	,	,	PUNCT
iajs-2291	219	23	t.	t.	PROPN
iajs-2291	219	24	;	;	PUNCT
iajs-2291	219	25	alsaedi	alsaedi	PROPN
iajs-2291	219	26	,	,	PUNCT
iajs-2291	219	27	a.	a.	NOUN
iajs-2291	219	28	flow	flow	NOUN
iajs-2291	219	29	of	of	ADP
iajs-2291	219	30	mhd	mhd	PROPN
iajs-2291	219	31	carreau	carreau	PROPN
iajs-2291	219	32	in	in	ADP
iajs-2291	219	33	a	a	DET
iajs-2291	219	34	curved	curved	ADJ
iajs-2291	219	35	channel	channel	NOUN
iajs-2291	219	36	.	.	PUNCT
iajs-2291	220	1	applied	apply	VERB
iajs-2291	220	2	bionies	bionie	NOUN
iajs-2291	220	3	and	and	CCONJ
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