id	sid	tid	token	lemma	pos
cana-1581	1	1	communications	communication	NOUN
cana-1581	1	2	on	on	ADP
cana-1581	1	3	applied	apply	VERB
cana-1581	1	4	nonlinear	nonlinear	ADJ
cana-1581	1	5	analysis	analysis	NOUN
cana-1581	1	6	issn	issn	NOUN
cana-1581	1	7	:	:	PUNCT
cana-1581	1	8	1074	1074	NUM
cana-1581	1	9	-	-	PUNCT
cana-1581	1	10	133x	133x	NUM
cana-1581	1	11	vol	vol	NOUN
cana-1581	1	12	31	31	NUM
cana-1581	1	13	no	no	NOUN
cana-1581	1	14	.	.	PUNCT
cana-1581	2	1	8s	8s	PROPN
cana-1581	2	2	(	(	PUNCT
cana-1581	2	3	2024	2024	NUM
cana-1581	2	4	)	)	PUNCT
cana-1581	3	1	715	715	NUM
cana-1581	3	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	3	3	hydrodynamic	hydrodynamic	ADJ
cana-1581	3	4	force	force	NOUN
cana-1581	3	5	expression	expression	NOUN
cana-1581	3	6	with	with	ADP
cana-1581	3	7	couple	couple	NOUN
cana-1581	3	8	stress	stress	NOUN
cana-1581	3	9	drag	drag	VERB
cana-1581	3	10	over	over	ADP
cana-1581	3	11	sphere	sphere	NOUN
cana-1581	3	12	at	at	ADP
cana-1581	3	13	small	small	ADJ
cana-1581	3	14	reynolds	reynolds	PROPN
cana-1581	3	15	numbers	number	NOUN
cana-1581	3	16	k	k	PROPN
cana-1581	3	17	madhukar1	madhukar1	PROPN
cana-1581	3	18	,	,	PUNCT
cana-1581	3	19	kallur	kallur	VERB
cana-1581	3	20	v	v	NUM
cana-1581	3	21	vijayakumar2	vijayakumar2	NOUN
cana-1581	3	22	*	*	NOUN
cana-1581	3	23	,	,	PUNCT
cana-1581	3	24	chethan	chethan	PROPN
cana-1581	3	25	a.s	a.s	PROPN
cana-1581	3	26	.	.	PROPN
cana-1581	3	27	3	3	NUM
cana-1581	3	28	,	,	PUNCT
cana-1581	3	29	muneshwara	muneshwara	PROPN
cana-1581	3	30	m.s	m.s	PROPN
cana-1581	3	31	.	.	PROPN
cana-1581	3	32	4	4	NUM
cana-1581	3	33	1department	1department	NUM
cana-1581	3	34	of	of	ADP
cana-1581	3	35	mathematics	mathematic	NOUN
cana-1581	3	36	,	,	PUNCT
cana-1581	3	37	bms	bms	PROPN
cana-1581	3	38	college	college	PROPN
cana-1581	3	39	of	of	ADP
cana-1581	3	40	engineering	engineering	PROPN
cana-1581	3	41	,	,	PUNCT
cana-1581	3	42	bengaluru	bengaluru	PROPN
cana-1581	3	43	–	–	PUNCT
cana-1581	3	44	560019	560019	NUM
cana-1581	3	45	,	,	PUNCT
cana-1581	3	46	karnataka	karnataka	PROPN
cana-1581	3	47	,	,	PUNCT
cana-1581	3	48	india	india	PROPN
cana-1581	3	49	.	.	PUNCT
cana-1581	3	50	madhukar.maths@bmsce.ac.in	madhukar.maths@bmsce.ac.in	PROPN
cana-1581	3	51	.	.	PUNCT
cana-1581	4	1	2department	2department	NUM
cana-1581	4	2	of	of	ADP
cana-1581	4	3	mathematics	mathematic	NOUN
cana-1581	4	4	,	,	PUNCT
cana-1581	4	5	bms	bms	PROPN
cana-1581	4	6	institute	institute	PROPN
cana-1581	4	7	of	of	ADP
cana-1581	4	8	technology	technology	NOUN
cana-1581	4	9	and	and	CCONJ
cana-1581	4	10	management	management	NOUN
cana-1581	4	11	,	,	PUNCT
cana-1581	4	12	bengaluru	bengaluru	PROPN
cana-1581	4	13	–	–	PUNCT
cana-1581	4	14	560064	560064	NUM
cana-1581	4	15	,	,	PUNCT
cana-1581	4	16	karnataka	karnataka	PROPN
cana-1581	4	17	,	,	PUNCT
cana-1581	4	18	india	india	PROPN
cana-1581	4	19	.	.	PUNCT
cana-1581	4	20	kallurvijayakumar@bmsit.in	kallurvijayakumar@bmsit.in	PROPN
cana-1581	4	21	.	.	PUNCT
cana-1581	5	1	3department	3department	NUM
cana-1581	5	2	of	of	ADP
cana-1581	5	3	mathematics	mathematic	NOUN
cana-1581	5	4	,	,	PUNCT
cana-1581	5	5	bms	bms	PROPN
cana-1581	5	6	institute	institute	PROPN
cana-1581	5	7	of	of	ADP
cana-1581	5	8	technology	technology	NOUN
cana-1581	5	9	and	and	CCONJ
cana-1581	5	10	management	management	NOUN
cana-1581	5	11	,	,	PUNCT
cana-1581	5	12	bengaluru	bengaluru	PROPN
cana-1581	5	13	–	–	PUNCT
cana-1581	5	14	560064	560064	NUM
cana-1581	5	15	,	,	PUNCT
cana-1581	5	16	india	india	PROPN
cana-1581	5	17	.	.	PUNCT
cana-1581	6	1	aschethan@bmsit.in	aschethan@bmsit.in	PROPN
cana-1581	6	2	.	.	PUNCT
cana-1581	7	1	4department	4department	NUM
cana-1581	7	2	of	of	ADP
cana-1581	7	3	cse	cse	PROPN
cana-1581	7	4	,	,	PUNCT
cana-1581	7	5	bms	bms	PROPN
cana-1581	7	6	institute	institute	PROPN
cana-1581	7	7	of	of	ADP
cana-1581	7	8	technology	technology	PROPN
cana-1581	7	9	and	and	CCONJ
cana-1581	7	10	management	management	NOUN
cana-1581	7	11	bengaluru	bengaluru	PROPN
cana-1581	7	12	–	–	PUNCT
cana-1581	7	13	560019	560019	NUM
cana-1581	7	14	,	,	PUNCT
cana-1581	7	15	karnataka	karnataka	PROPN
cana-1581	7	16	,	,	PUNCT
cana-1581	7	17	,	,	PUNCT
cana-1581	7	18	india	india	PROPN
cana-1581	7	19	.	.	PUNCT
cana-1581	8	1	muneshwarams@bmsit.in	muneshwarams@bmsit.in	PROPN
cana-1581	9	1	*	*	PUNCT
cana-1581	9	2	corresponding	correspond	VERB
cana-1581	9	3	author	author	NOUN
cana-1581	9	4	e	e	NOUN
cana-1581	9	5	-	-	NOUN
cana-1581	9	6	mail	mail	NOUN
cana-1581	9	7	:	:	PUNCT
cana-1581	9	8	kallurvijayakumar@bmsit.in	kallurvijayakumar@bmsit.in	PROPN
cana-1581	9	9	.	.	PUNCT
cana-1581	10	1	article	article	NOUN
cana-1581	10	2	history	history	NOUN
cana-1581	10	3	:	:	PUNCT
cana-1581	10	4	received	receive	VERB
cana-1581	10	5	:	:	PUNCT
cana-1581	10	6	20	20	NUM
cana-1581	10	7	-	-	PUNCT
cana-1581	10	8	04	04	NUM
cana-1581	10	9	-	-	PUNCT
cana-1581	10	10	2024	2024	NUM
cana-1581	10	11	revised	revise	VERB
cana-1581	10	12	:	:	PUNCT
cana-1581	10	13	10	10	NUM
cana-1581	10	14	-	-	SYM
cana-1581	10	15	06	06	NUM
cana-1581	10	16	-	-	PUNCT
cana-1581	10	17	2024	2024	NUM
cana-1581	10	18	accepted	accept	VERB
cana-1581	10	19	:	:	PUNCT
cana-1581	10	20	24	24	NUM
cana-1581	10	21	-	-	PUNCT
cana-1581	10	22	06	06	NUM
cana-1581	10	23	-	-	PUNCT
cana-1581	10	24	2024	2024	NUM
cana-1581	10	25	abstract	abstract	NOUN
cana-1581	10	26	:	:	PUNCT
cana-1581	10	27	introduction	introduction	NOUN
cana-1581	10	28	:	:	PUNCT
cana-1581	10	29	the	the	DET
cana-1581	10	30	flow	flow	NOUN
cana-1581	10	31	past	past	ADP
cana-1581	10	32	a	a	DET
cana-1581	10	33	sphere	sphere	NOUN
cana-1581	10	34	has	have	AUX
cana-1581	10	35	been	be	AUX
cana-1581	10	36	an	an	DET
cana-1581	10	37	important	important	ADJ
cana-1581	10	38	problem	problem	NOUN
cana-1581	10	39	since	since	SCONJ
cana-1581	10	40	stokes	stoke	NOUN
cana-1581	10	41	and	and	CCONJ
cana-1581	10	42	the	the	DET
cana-1581	10	43	navier	navier	NOUN
cana-1581	10	44	stokes	stoke	NOUN
cana-1581	10	45	(	(	PUNCT
cana-1581	10	46	ns	ns	NUM
cana-1581	10	47	)	)	PUNCT
cana-1581	10	48	equation	equation	NOUN
cana-1581	10	49	is	be	AUX
cana-1581	10	50	the	the	DET
cana-1581	10	51	basic	basic	ADJ
cana-1581	10	52	governing	governing	NOUN
cana-1581	10	53	equation	equation	NOUN
cana-1581	10	54	for	for	ADP
cana-1581	10	55	it	it	PRON
cana-1581	10	56	.	.	PUNCT
cana-1581	11	1	the	the	DET
cana-1581	11	2	main	main	ADJ
cana-1581	11	3	reason	reason	NOUN
cana-1581	11	4	for	for	ADP
cana-1581	11	5	its	its	PRON
cana-1581	11	6	importance	importance	NOUN
cana-1581	11	7	is	be	AUX
cana-1581	11	8	that	that	SCONJ
cana-1581	11	9	the	the	DET
cana-1581	11	10	ns	ns	ADJ
cana-1581	11	11	equation	equation	NOUN
cana-1581	11	12	is	be	AUX
cana-1581	11	13	not	not	PART
cana-1581	11	14	yet	yet	ADV
cana-1581	11	15	solvable	solvable	ADJ
cana-1581	11	16	analytically	analytically	ADV
cana-1581	11	17	and	and	CCONJ
cana-1581	11	18	has	have	AUX
cana-1581	11	19	been	be	AUX
cana-1581	11	20	solved	solve	VERB
cana-1581	11	21	in	in	ADP
cana-1581	11	22	the	the	DET
cana-1581	11	23	absence	absence	NOUN
cana-1581	11	24	of	of	ADP
cana-1581	11	25	either	either	PRON
cana-1581	11	26	or	or	CCONJ
cana-1581	11	27	both	both	CCONJ
cana-1581	11	28	unsteady	unsteady	ADJ
cana-1581	11	29	inertia	inertia	NOUN
cana-1581	11	30	and	and	CCONJ
cana-1581	11	31	convective	convective	ADJ
cana-1581	11	32	inertia	inertia	NOUN
cana-1581	11	33	.	.	PUNCT
cana-1581	12	1	the	the	DET
cana-1581	12	2	hydrodynamic	hydrodynamic	ADJ
cana-1581	12	3	force	force	NOUN
cana-1581	12	4	on	on	ADP
cana-1581	12	5	a	a	DET
cana-1581	12	6	spherical	spherical	ADJ
cana-1581	12	7	particle	particle	NOUN
cana-1581	12	8	at	at	ADP
cana-1581	12	9	low	low	ADJ
cana-1581	12	10	reynolds	reynold	NOUN
cana-1581	12	11	numbers	number	NOUN
cana-1581	12	12	has	have	AUX
cana-1581	12	13	been	be	AUX
cana-1581	12	14	meticulously	meticulously	ADV
cana-1581	12	15	derived	derive	VERB
cana-1581	12	16	by	by	ADP
cana-1581	12	17	lovalenti	lovalenti	ADJ
cana-1581	12	18	and	and	CCONJ
cana-1581	12	19	brady	brady	PROPN
cana-1581	12	20	[	[	X
cana-1581	12	21	2	2	NUM
cana-1581	12	22	]	]	PUNCT
cana-1581	12	23	and	and	CCONJ
cana-1581	12	24	stokes	stoke	VERB
cana-1581	13	1	[	[	X
cana-1581	13	2	1	1	NUM
cana-1581	13	3	]	]	PUNCT
cana-1581	13	4	,	,	PUNCT
cana-1581	13	5	has	have	AUX
cana-1581	13	6	derived	derive	VERB
cana-1581	13	7	the	the	DET
cana-1581	13	8	same	same	ADJ
cana-1581	13	9	for	for	ADP
cana-1581	13	10	a	a	DET
cana-1581	13	11	couple	couple	NOUN
cana-1581	13	12	stress	stress	NOUN
cana-1581	13	13	fluid	fluid	NOUN
cana-1581	13	14	.	.	PUNCT
cana-1581	14	1	objectives	objective	NOUN
cana-1581	14	2	:	:	PUNCT
cana-1581	14	3	in	in	ADP
cana-1581	14	4	this	this	DET
cana-1581	14	5	problem	problem	NOUN
cana-1581	14	6	we	we	PRON
cana-1581	14	7	extend	extend	VERB
cana-1581	14	8	the	the	DET
cana-1581	14	9	works	work	NOUN
cana-1581	14	10	of	of	ADP
cana-1581	14	11	stokes	stoke	NOUN
cana-1581	14	12	[	[	X
cana-1581	14	13	1	1	NUM
cana-1581	14	14	]	]	PUNCT
cana-1581	14	15	and	and	CCONJ
cana-1581	14	16	lovalenti	lovalenti	ADJ
cana-1581	14	17	and	and	CCONJ
cana-1581	14	18	brady	brady	PROPN
cana-1581	14	19	[	[	X
cana-1581	14	20	2	2	NUM
cana-1581	14	21	]	]	PUNCT
cana-1581	14	22	to	to	PART
cana-1581	14	23	obtain	obtain	VERB
cana-1581	14	24	an	an	DET
cana-1581	14	25	expression	expression	NOUN
cana-1581	14	26	for	for	ADP
cana-1581	14	27	the	the	DET
cana-1581	14	28	hydrodynamic	hydrodynamic	ADJ
cana-1581	14	29	force	force	NOUN
cana-1581	14	30	on	on	ADP
cana-1581	14	31	a	a	DET
cana-1581	14	32	couple	couple	NOUN
cana-1581	14	33	stress	stress	NOUN
cana-1581	14	34	flow	flow	NOUN
cana-1581	14	35	over	over	ADP
cana-1581	14	36	a	a	DET
cana-1581	14	37	rigid	rigid	ADJ
cana-1581	14	38	sphere	sphere	NOUN
cana-1581	14	39	at	at	ADP
cana-1581	14	40	low	low	ADJ
cana-1581	14	41	reynolds	reynolds	PROPN
cana-1581	14	42	numbers	number	NOUN
cana-1581	14	43	.	.	PUNCT
cana-1581	15	1	methods	method	NOUN
cana-1581	15	2	:	:	PUNCT
cana-1581	15	3	we	we	PRON
cana-1581	15	4	consider	consider	VERB
cana-1581	15	5	both	both	CCONJ
cana-1581	15	6	the	the	DET
cana-1581	15	7	expressions	expression	NOUN
cana-1581	15	8	for	for	ADP
cana-1581	15	9	the	the	DET
cana-1581	15	10	hydrodynamic	hydrodynamic	ADJ
cana-1581	15	11	forces	force	NOUN
cana-1581	15	12	and	and	CCONJ
cana-1581	15	13	combine	combine	VERB
cana-1581	15	14	them	they	PRON
cana-1581	15	15	to	to	PART
cana-1581	15	16	get	get	VERB
cana-1581	15	17	a	a	DET
cana-1581	15	18	new	new	ADJ
cana-1581	15	19	expression	expression	NOUN
cana-1581	15	20	for	for	ADP
cana-1581	15	21	the	the	DET
cana-1581	15	22	effects	effect	NOUN
cana-1581	15	23	of	of	ADP
cana-1581	15	24	couple	couple	NOUN
cana-1581	15	25	stress	stress	NOUN
cana-1581	15	26	fluids	fluid	NOUN
cana-1581	15	27	at	at	ADP
cana-1581	15	28	low	low	ADJ
cana-1581	15	29	reynolds	reynold	NOUN
cana-1581	15	30	numbers	number	NOUN
cana-1581	15	31	on	on	ADP
cana-1581	15	32	a	a	DET
cana-1581	15	33	rigid	rigid	ADJ
cana-1581	15	34	sphere	sphere	NOUN
cana-1581	15	35	.	.	PUNCT
cana-1581	16	1	then	then	ADV
cana-1581	16	2	the	the	DET
cana-1581	16	3	expression	expression	NOUN
cana-1581	16	4	is	be	AUX
cana-1581	16	5	validated	validate	VERB
cana-1581	16	6	by	by	ADP
cana-1581	16	7	reproducing	reproduce	VERB
cana-1581	16	8	the	the	DET
cana-1581	16	9	results	result	NOUN
cana-1581	16	10	of	of	ADP
cana-1581	16	11	both	both	CCONJ
cana-1581	16	12	the	the	DET
cana-1581	16	13	authors	author	NOUN
cana-1581	16	14	.	.	PUNCT
cana-1581	17	1	results	result	NOUN
cana-1581	17	2	:	:	PUNCT
cana-1581	17	3	we	we	PRON
cana-1581	17	4	consider	consider	VERB
cana-1581	17	5	both	both	CCONJ
cana-1581	17	6	the	the	DET
cana-1581	17	7	extremes	extreme	NOUN
cana-1581	17	8	and	and	CCONJ
cana-1581	17	9	obtain	obtain	VERB
cana-1581	17	10	the	the	DET
cana-1581	17	11	plots	plot	NOUN
cana-1581	17	12	of	of	ADP
cana-1581	17	13	stokes	stoke	NOUN
cana-1581	17	14	[	[	X
cana-1581	17	15	1	1	NUM
cana-1581	17	16	]	]	PUNCT
cana-1581	17	17	and	and	CCONJ
cana-1581	17	18	lovalenti	lovalenti	ADJ
cana-1581	17	19	and	and	CCONJ
cana-1581	17	20	brady	brady	PROPN
cana-1581	17	21	[	[	X
cana-1581	17	22	2	2	NUM
cana-1581	17	23	]	]	PUNCT
cana-1581	17	24	and	and	CCONJ
cana-1581	17	25	also	also	ADV
cana-1581	17	26	obtain	obtain	VERB
cana-1581	17	27	the	the	DET
cana-1581	17	28	transition	transition	NOUN
cana-1581	17	29	from	from	ADP
cana-1581	17	30	newtonian	newtonian	ADJ
cana-1581	17	31	fluid	fluid	NOUN
cana-1581	17	32	to	to	ADP
cana-1581	17	33	couple	couple	NOUN
cana-1581	17	34	stress	stress	NOUN
cana-1581	17	35	fluid	fluid	NOUN
cana-1581	17	36	at	at	ADP
cana-1581	17	37	small	small	ADJ
cana-1581	17	38	reynolds	reynold	NOUN
cana-1581	17	39	numbers	number	NOUN
cana-1581	17	40	.	.	PUNCT
cana-1581	18	1	we	we	PRON
cana-1581	18	2	note	note	VERB
cana-1581	18	3	that	that	SCONJ
cana-1581	18	4	the	the	DET
cana-1581	18	5	hydrodynamic	hydrodynamic	ADJ
cana-1581	18	6	force	force	NOUN
cana-1581	18	7	on	on	ADP
cana-1581	18	8	the	the	DET
cana-1581	18	9	rigid	rigid	ADJ
cana-1581	18	10	sphere	sphere	NOUN
cana-1581	18	11	is	be	AUX
cana-1581	18	12	the	the	DET
cana-1581	18	13	effect	effect	NOUN
cana-1581	18	14	of	of	ADP
cana-1581	18	15	viscous	viscous	ADJ
cana-1581	18	16	force	force	NOUN
cana-1581	18	17	and	and	CCONJ
cana-1581	18	18	pressure	pressure	NOUN
cana-1581	18	19	and	and	CCONJ
cana-1581	18	20	at	at	ADP
cana-1581	18	21	zero	zero	NUM
cana-1581	18	22	couple	couple	NOUN
cana-1581	18	23	stress	stress	NOUN
cana-1581	18	24	!	!	PUNCT
cana-1581	19	1	(	(	PUNCT
cana-1581	19	2	an	an	DET
cana-1581	19	3	ideal	ideal	ADJ
cana-1581	19	4	situation	situation	NOUN
cana-1581	19	5	)	)	PUNCT
cana-1581	19	6	the	the	DET
cana-1581	19	7	fluid	fluid	NOUN
cana-1581	19	8	behaves	behave	VERB
cana-1581	19	9	as	as	ADP
cana-1581	19	10	a	a	DET
cana-1581	19	11	newtonian	newtonian	ADJ
cana-1581	19	12	fluid	fluid	NOUN
cana-1581	19	13	with	with	ADP
cana-1581	19	14	zero	zero	NUM
cana-1581	19	15	or	or	CCONJ
cana-1581	19	16	constant	constant	ADJ
cana-1581	19	17	flow	flow	NOUN
cana-1581	19	18	when	when	SCONJ
cana-1581	19	19	fluid	fluid	NOUN
cana-1581	19	20	is	be	AUX
cana-1581	19	21	quiescent	quiescent	ADJ
cana-1581	19	22	and	and	CCONJ
cana-1581	19	23	as	as	SCONJ
cana-1581	19	24	the	the	DET
cana-1581	19	25	couple	couple	NOUN
cana-1581	19	26	stress	stress	NOUN
cana-1581	19	27	parameters	parameter	NOUN
cana-1581	19	28	are	be	AUX
cana-1581	19	29	introduces	introduce	NOUN
cana-1581	19	30	the	the	DET
cana-1581	19	31	force	force	NOUN
cana-1581	19	32	tend	tend	VERB
cana-1581	19	33	to	to	PART
cana-1581	19	34	grow	grow	VERB
cana-1581	19	35	from	from	ADP
cana-1581	19	36	constant	constant	ADJ
cana-1581	19	37	to	to	ADP
cana-1581	19	38	exponential	exponential	ADJ
cana-1581	19	39	flow	flow	NOUN
cana-1581	19	40	.	.	PUNCT
cana-1581	20	1	conclusions	conclusion	NOUN
cana-1581	20	2	:	:	PUNCT
cana-1581	20	3	this	this	DET
cana-1581	20	4	work	work	NOUN
cana-1581	20	5	fills	fill	VERB
cana-1581	20	6	the	the	DET
cana-1581	20	7	gap	gap	NOUN
cana-1581	20	8	in	in	ADP
cana-1581	20	9	the	the	DET
cana-1581	20	10	literature	literature	NOUN
cana-1581	20	11	for	for	ADP
cana-1581	20	12	the	the	DET
cana-1581	20	13	expression	expression	NOUN
cana-1581	20	14	for	for	ADP
cana-1581	20	15	force	force	NOUN
cana-1581	20	16	on	on	ADP
cana-1581	20	17	a	a	DET
cana-1581	20	18	couple	couple	NOUN
cana-1581	20	19	stress	stress	NOUN
cana-1581	20	20	fluid	fluid	NOUN
cana-1581	20	21	on	on	ADP
cana-1581	20	22	a	a	DET
cana-1581	20	23	rigid	rigid	ADJ
cana-1581	20	24	sphere	sphere	NOUN
cana-1581	20	25	at	at	ADP
cana-1581	20	26	small	small	ADJ
cana-1581	20	27	finite	finite	PROPN
cana-1581	20	28	reynolds	reynolds	PROPN
cana-1581	20	29	number	number	PROPN
cana-1581	20	30	.	.	PUNCT
cana-1581	21	1	keywords	keyword	NOUN
cana-1581	21	2	:	:	PUNCT
cana-1581	21	3	couple	couple	NOUN
cana-1581	21	4	stresses	stress	NOUN
cana-1581	21	5	,	,	PUNCT
cana-1581	21	6	low	low	ADJ
cana-1581	21	7	reynolds	reynold	NOUN
cana-1581	21	8	number	number	PROPN
cana-1581	21	9	,	,	PUNCT
cana-1581	21	10	force	force	NOUN
cana-1581	21	11	,	,	PUNCT
cana-1581	21	12	rigid	rigid	ADJ
cana-1581	21	13	spheres	sphere	NOUN
cana-1581	21	14	.	.	PUNCT
cana-1581	22	1	𝜗	𝜗	PROPN
cana-1581	22	2	kinematic	kinematic	ADJ
cana-1581	22	3	viscosity	viscosity	NOUN
cana-1581	22	4	𝑅𝑒𝐹	𝑅𝑒𝐹	NOUN
cana-1581	22	5	amplitude	amplitude	NOUN
cana-1581	22	6	of	of	ADP
cana-1581	22	7	the	the	DET
cana-1581	22	8	periodic	periodic	ADJ
cana-1581	22	9	force	force	NOUN
cana-1581	22	10	𝑈𝑐	𝑈𝑐	SCONJ
cana-1581	22	11	characteristic	characteristic	ADJ
cana-1581	22	12	particle	particle	NOUN
cana-1581	22	13	slip	slip	NOUN
cana-1581	22	14	velocity	velocity	NOUN
cana-1581	22	15	mailto:kallurvijayakumar@bmsit.in	mailto:kallurvijayakumar@bmsit.in	PROPN
cana-1581	22	16	mailto:aschethan@bmsit.in	mailto:aschethan@bmsit.in	NOUN
cana-1581	22	17	mailto:muneshwarams@bmsit.in	mailto:muneshwarams@bmsit.in	PROPN
cana-1581	22	18	communications	communication	NOUN
cana-1581	22	19	on	on	ADP
cana-1581	22	20	applied	apply	VERB
cana-1581	22	21	nonlinear	nonlinear	ADJ
cana-1581	22	22	analysis	analysis	NOUN
cana-1581	22	23	issn	issn	NOUN
cana-1581	22	24	:	:	PUNCT
cana-1581	22	25	1074	1074	NUM
cana-1581	22	26	-	-	PUNCT
cana-1581	22	27	133x	133x	NUM
cana-1581	22	28	vol	vol	NOUN
cana-1581	22	29	31	31	NUM
cana-1581	22	30	no	no	NOUN
cana-1581	22	31	.	.	PUNCT
cana-1581	23	1	8s	8s	PROPN
cana-1581	23	2	(	(	PUNCT
cana-1581	23	3	2024	2024	NUM
cana-1581	23	4	)	)	PUNCT
cana-1581	23	5	716	716	NUM
cana-1581	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	23	7	𝑭𝒔	𝑭𝒔	PROPN
cana-1581	23	8	𝑯∥(𝑡	𝑯∥(𝑡	PROPN
cana-1581	23	9	)	)	PUNCT
cana-1581	23	10	=	=	SYM
cana-1581	24	1	−6𝜋𝑼𝒔.	−6𝜋𝑼𝒔.	NUM
cana-1581	24	2	𝒑𝒑	𝒑𝒑	X
cana-1581	24	3	tangential	tangential	ADJ
cana-1581	24	4	part	part	NOUN
cana-1581	24	5	of	of	ADP
cana-1581	24	6	stokes	stokes	PROPN
cana-1581	24	7	’	'	PUNCT
cana-1581	24	8	drag	drag	PROPN
cana-1581	24	9	fh	fh	PROPN
cana-1581	24	10	hydrodynamic	hydrodynamic	ADJ
cana-1581	24	11	force	force	NOUN
cana-1581	24	12	𝑎	𝑎	PRON
cana-1581	24	13	characteristic	characteristic	ADJ
cana-1581	24	14	particle	particle	NOUN
cana-1581	24	15	dimension	dimension	NOUN
cana-1581	24	16	𝑆𝑙	𝑆𝑙	NOUN
cana-1581	24	17	=	=	PUNCT
cana-1581	24	18	𝑎	𝑎	PROPN
cana-1581	24	19	𝑈𝑐	𝑈𝑐	PROPN
cana-1581	24	20	/𝜏𝑐	/𝜏𝑐	SYM
cana-1581	24	21	strouhal	strouhal	NOUN
cana-1581	24	22	number	number	NOUN
cana-1581	24	23	𝜏𝑐	𝜏𝑐	ADP
cana-1581	24	24	characteristic	characteristic	ADJ
cana-1581	24	25	time	time	NOUN
cana-1581	24	26	scale	scale	NOUN
cana-1581	24	27	𝑈𝑝𝑥	𝑈𝑝𝑥	PROPN
cana-1581	24	28	̅̅	̅̅	PROPN
cana-1581	24	29	̅̅	̅̅	PROPN
cana-1581	24	30	̅	̅	PROPN
cana-1581	24	31	mean	mean	NOUN
cana-1581	24	32	of	of	ADP
cana-1581	24	33	upx	upx	PROPN
cana-1581	24	34	and	and	CCONJ
cana-1581	24	35	similarly	similarly	ADV
cana-1581	24	36	for	for	ADP
cana-1581	24	37	other	other	ADJ
cana-1581	24	38	corresponding	correspond	VERB
cana-1581	24	39	values	value	NOUN
cana-1581	24	40	𝑭𝒔	𝑭𝒔	PROPN
cana-1581	24	41	𝑯	𝑯	PROPN
cana-1581	24	42	pseudo	pseudo	NOUN
cana-1581	24	43	steady	steady	ADJ
cana-1581	24	44	stokes	stoke	NOUN
cana-1581	24	45	’	'	PUNCT
cana-1581	24	46	drag	drag	NOUN
cana-1581	24	47	𝑅𝑒	𝑅𝑒	PROPN
cana-1581	24	48	=	=	SYM
cana-1581	24	49	𝑎𝑈𝑐/𝜗	𝑎𝑈𝑐/𝜗	PROPN
cana-1581	24	50	reynolds	reynold	NOUN
cana-1581	24	51	number	number	NOUN
cana-1581	24	52	𝑭𝒔	𝑭𝒔	PROPN
cana-1581	24	53	𝑯⊥(𝑡	𝑯⊥(𝑡	NUM
cana-1581	24	54	)	)	PUNCT
cana-1581	24	55	=	=	SYM
cana-1581	24	56	−6𝜋𝑼𝒔.	−6𝜋𝑼𝒔.	X
cana-1581	24	57	(	(	PUNCT
cana-1581	24	58	𝜹	𝜹	NOUN
cana-1581	24	59	−	−	NOUN
cana-1581	24	60	𝒑𝒑	𝒑𝒑	NOUN
cana-1581	24	61	)	)	PUNCT
cana-1581	24	62	normal	normal	ADJ
cana-1581	24	63	part	part	NOUN
cana-1581	24	64	of	of	ADP
cana-1581	24	65	stokes	stokes	PROPN
cana-1581	24	66	’	'	PUNCT
cana-1581	24	67	drag	drag	VERB
cana-1581	24	68	𝒑	𝒑	NOUN
cana-1581	24	69	=	=	SYM
cana-1581	24	70	𝒀𝒔(𝑡	𝒀𝒔(𝑡	NUM
cana-1581	24	71	)	)	PUNCT
cana-1581	24	72	−	−	PROPN
cana-1581	25	1	𝒀𝒔(𝑠	𝒀𝒔(𝑠	ADJ
cana-1581	25	2	)	)	PUNCT
cana-1581	25	3	|𝒀𝒔(𝑡	|𝒀𝒔(𝑡	ADJ
cana-1581	25	4	)	)	PUNCT
cana-1581	25	5	−	−	NOUN
cana-1581	25	6	𝒀𝒔(𝑠)|	𝒀𝒔(𝑠)|	NOUN
cana-1581	25	7	unit	unit	NOUN
cana-1581	25	8	vector	vector	NOUN
cana-1581	25	9	in	in	ADP
cana-1581	25	10	align	align	NOUN
cana-1581	25	11	with	with	ADP
cana-1581	25	12	the	the	DET
cana-1581	25	13	x	x	PUNCT
cana-1581	25	14	axis	axis	NOUN
cana-1581	25	15	a	a	DET
cana-1581	25	16	𝐴	𝐴	NOUN
cana-1581	25	17	=	=	PUNCT
cana-1581	26	1	𝑅𝑒	𝑅𝑒	VERB
cana-1581	26	2	2	2	NUM
cana-1581	26	3	(	(	PUNCT
cana-1581	26	4	𝑡	𝑡	PROPN
cana-1581	26	5	−	−	PROPN
cana-1581	26	6	𝑠	𝑠	PRON
cana-1581	26	7	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	26	8	)	)	PUNCT
cana-1581	26	9	1/2	1/2	NUM
cana-1581	26	10	(	(	PUNCT
cana-1581	26	11	𝒀𝒔(𝑡	𝒀𝒔(𝑡	NOUN
cana-1581	26	12	)	)	PUNCT
cana-1581	26	13	−	−	PROPN
cana-1581	26	14	𝒀𝒔(𝑠	𝒀𝒔(𝑠	PROPN
cana-1581	26	15	)	)	PUNCT
cana-1581	26	16	𝑡	𝑡	PROPN
cana-1581	26	17	−	−	PROPN
cana-1581	26	18	𝑠	𝑠	PROPN
cana-1581	26	19	)	)	PUNCT
cana-1581	26	20	𝑼𝒑(𝑡	𝑼𝒑(𝑡	PROPN
cana-1581	26	21	)	)	PUNCT
cana-1581	26	22	particle	particle	NOUN
cana-1581	26	23	velocity	velocity	NOUN
cana-1581	26	24	𝑼𝒔(𝑡	𝑼𝒔(𝑡	NOUN
cana-1581	26	25	)	)	PUNCT
cana-1581	26	26	=	=	PUNCT
cana-1581	26	27	𝑼𝒑(𝑡	𝑼𝒑(𝑡	PROPN
cana-1581	26	28	)	)	PUNCT
cana-1581	26	29	−	−	ADP
cana-1581	26	30	𝑼∞(𝑡	𝑼∞(𝑡	NOUN
cana-1581	26	31	)	)	PUNCT
cana-1581	26	32	stream	stream	NOUN
cana-1581	26	33	velocity	velocity	NOUN
cana-1581	26	34	𝑼∞(𝑡	𝑼∞(𝑡	NUM
cana-1581	26	35	)	)	PUNCT
cana-1581	26	36	uniform	uniform	ADJ
cana-1581	26	37	velocity	velocity	PROPN
cana-1581	26	38	fext	fext	NOUN
cana-1581	26	39	external	external	ADJ
cana-1581	26	40	force	force	NOUN
cana-1581	26	41	𝜹	𝜹	PROPN
cana-1581	26	42	idem	idem	PROPN
cana-1581	26	43	tensor	tensor	NOUN
cana-1581	26	44	of	of	ADP
cana-1581	26	45	order	order	NOUN
cana-1581	26	46	2	2	NUM
cana-1581	26	47	mp	mp	PROPN
cana-1581	26	48	particle	particle	NOUN
cana-1581	26	49	mass	mass	PROPN
cana-1581	26	50	ys	ys	PROPN
cana-1581	26	51	integrated	integrate	VERB
cana-1581	26	52	particle	particle	NOUN
cana-1581	26	53	displacement	displacement	NOUN
cana-1581	26	54			NUM
cana-1581	26	55	couple	couple	NOUN
cana-1581	26	56	stress	stress	NOUN
cana-1581	26	57	parameter	parameter	NOUN
cana-1581	26	58	1	1	NUM
cana-1581	26	59	.	.	PUNCT
cana-1581	27	1	introduction	introduction	NOUN
cana-1581	27	2	solutions	solution	NOUN
cana-1581	27	3	containing	contain	VERB
cana-1581	27	4	long	long	ADJ
cana-1581	27	5	-	-	PUNCT
cana-1581	27	6	chain	chain	NOUN
cana-1581	27	7	polymers	polymer	NOUN
cana-1581	27	8	,	,	PUNCT
cana-1581	27	9	biological	biological	ADJ
cana-1581	27	10	fluids	fluid	NOUN
cana-1581	27	11	,	,	PUNCT
cana-1581	27	12	suspensions	suspension	NOUN
cana-1581	27	13	and	and	CCONJ
cana-1581	27	14	colloidal	colloidal	NOUN
cana-1581	27	15	fluids	fluid	NOUN
cana-1581	27	16	,	,	PUNCT
cana-1581	27	17	liquid	liquid	ADJ
cana-1581	27	18	crystals	crystal	NOUN
cana-1581	27	19	,	,	PUNCT
cana-1581	27	20	viscoelastic	viscoelastic	ADJ
cana-1581	27	21	materials	material	NOUN
cana-1581	27	22	and	and	CCONJ
cana-1581	27	23	other	other	ADJ
cana-1581	27	24	complex	complex	ADJ
cana-1581	27	25	geometry	geometry	NOUN
cana-1581	27	26	structures	structure	NOUN
cana-1581	27	27	and	and	CCONJ
cana-1581	27	28	the	the	DET
cana-1581	27	29	complex	complex	ADJ
cana-1581	27	30	fluids	fluid	NOUN
cana-1581	27	31	can	can	AUX
cana-1581	27	32	exhibit	exhibit	VERB
cana-1581	27	33	couple	couple	NOUN
cana-1581	27	34	stress	stress	NOUN
cana-1581	27	35	behaviour	behaviour	NOUN
cana-1581	28	1	[	[	X
cana-1581	28	2	3	3	NUM
cana-1581	28	3	7	7	NUM
cana-1581	28	4	]	]	PUNCT
cana-1581	28	5	.	.	PUNCT
cana-1581	29	1	the	the	DET
cana-1581	29	2	entangled	entangle	VERB
cana-1581	29	3	polymer	polymer	NOUN
cana-1581	29	4	chains	chain	NOUN
cana-1581	29	5	introduce	introduce	VERB
cana-1581	29	6	microscale	microscale	ADJ
cana-1581	29	7	interactions	interaction	NOUN
cana-1581	29	8	that	that	PRON
cana-1581	29	9	affect	affect	VERB
cana-1581	29	10	the	the	DET
cana-1581	29	11	overall	overall	ADJ
cana-1581	29	12	rheological	rheological	ADJ
cana-1581	29	13	properties	property	NOUN
cana-1581	29	14	of	of	ADP
cana-1581	29	15	the	the	DET
cana-1581	29	16	fluid[3	fluid[3	NOUN
cana-1581	29	17	]	]	PUNCT
cana-1581	29	18	.	.	PUNCT
cana-1581	30	1	biological	biological	ADJ
cana-1581	30	2	fluids	fluid	NOUN
cana-1581	30	3	,	,	PUNCT
cana-1581	30	4	such	such	ADJ
cana-1581	30	5	as	as	ADP
cana-1581	30	6	synovial	synovial	ADJ
cana-1581	30	7	fluid	fluid	NOUN
cana-1581	30	8	in	in	ADP
cana-1581	30	9	joints	joint	NOUN
cana-1581	30	10	,	,	PUNCT
cana-1581	30	11	can	can	AUX
cana-1581	30	12	exhibit	exhibit	VERB
cana-1581	30	13	non	non	ADJ
cana-1581	30	14	-	-	ADJ
cana-1581	30	15	newtonian	newtonian	ADJ
cana-1581	30	16	behaviour	behaviour	NOUN
cana-1581	30	17	with	with	ADP
cana-1581	30	18	microstructure	microstructure	ADJ
cana-1581	30	19	effects	effect	NOUN
cana-1581	30	20	.	.	PUNCT
cana-1581	31	1	blood	blood	NOUN
cana-1581	31	2	is	be	AUX
cana-1581	31	3	a	a	DET
cana-1581	31	4	complex	complex	ADJ
cana-1581	31	5	fluid	fluid	NOUN
cana-1581	31	6	with	with	ADP
cana-1581	31	7	suspended	suspend	VERB
cana-1581	31	8	particles	particle	NOUN
cana-1581	31	9	,	,	PUNCT
cana-1581	31	10	cells	cell	NOUN
cana-1581	31	11	,	,	PUNCT
cana-1581	31	12	and	and	CCONJ
cana-1581	31	13	plasma	plasma	NOUN
cana-1581	31	14	constituents	constituent	NOUN
cana-1581	31	15	.	.	PUNCT
cana-1581	32	1	the	the	DET
cana-1581	32	2	interactions	interaction	NOUN
cana-1581	32	3	between	between	ADP
cana-1581	32	4	these	these	DET
cana-1581	32	5	components	component	NOUN
cana-1581	32	6	at	at	ADP
cana-1581	32	7	the	the	DET
cana-1581	32	8	microscale	microscale	NOUN
cana-1581	32	9	can	can	AUX
cana-1581	32	10	be	be	AUX
cana-1581	32	11	significant	significant	ADJ
cana-1581	32	12	.	.	PUNCT
cana-1581	33	1	in	in	ADP
cana-1581	33	2	the	the	DET
cana-1581	33	3	context	context	NOUN
cana-1581	33	4	of	of	ADP
cana-1581	33	5	blood	blood	NOUN
cana-1581	33	6	flow	flow	NOUN
cana-1581	33	7	,	,	PUNCT
cana-1581	33	8	the	the	DET
cana-1581	33	9	micro	micro	NOUN
cana-1581	33	10	-	-	NOUN
cana-1581	33	11	rotations	rotation	NOUN
cana-1581	33	12	can	can	AUX
cana-1581	33	13	represent	represent	VERB
cana-1581	33	14	the	the	DET
cana-1581	33	15	rotation	rotation	NOUN
cana-1581	33	16	of	of	ADP
cana-1581	33	17	individual	individual	ADJ
cana-1581	33	18	blood	blood	NOUN
cana-1581	33	19	cells	cell	NOUN
cana-1581	33	20	or	or	CCONJ
cana-1581	33	21	the	the	DET
cana-1581	33	22	effects	effect	NOUN
cana-1581	33	23	of	of	ADP
cana-1581	33	24	cell	cell	NOUN
cana-1581	33	25	-	-	PUNCT
cana-1581	33	26	cell	cell	NOUN
cana-1581	33	27	interactions	interaction	NOUN
cana-1581	33	28	.	.	PUNCT
cana-1581	34	1	the	the	DET
cana-1581	34	2	additional	additional	ADJ
cana-1581	34	3	terms	term	NOUN
cana-1581	34	4	in	in	ADP
cana-1581	34	5	the	the	DET
cana-1581	34	6	communications	communication	NOUN
cana-1581	34	7	on	on	ADP
cana-1581	34	8	applied	apply	VERB
cana-1581	34	9	nonlinear	nonlinear	ADJ
cana-1581	34	10	analysis	analysis	NOUN
cana-1581	34	11	issn	issn	NOUN
cana-1581	34	12	:	:	PUNCT
cana-1581	34	13	1074	1074	NUM
cana-1581	34	14	-	-	PUNCT
cana-1581	34	15	133x	133x	NUM
cana-1581	34	16	vol	vol	NOUN
cana-1581	34	17	31	31	NUM
cana-1581	34	18	no	no	NOUN
cana-1581	34	19	.	.	PUNCT
cana-1581	35	1	8s	8s	PROPN
cana-1581	35	2	(	(	PUNCT
cana-1581	35	3	2024	2024	NUM
cana-1581	35	4	)	)	PUNCT
cana-1581	35	5	717	717	NUM
cana-1581	35	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	35	7	constitutive	constitutive	ADJ
cana-1581	35	8	equations	equation	NOUN
cana-1581	35	9	of	of	ADP
cana-1581	35	10	couple	couple	NOUN
cana-1581	35	11	stress	stress	NOUN
cana-1581	35	12	fluid	fluid	NOUN
cana-1581	35	13	account	account	NOUN
cana-1581	35	14	for	for	ADP
cana-1581	35	15	the	the	DET
cana-1581	35	16	microscale	microscale	ADJ
cana-1581	35	17	contributions	contribution	NOUN
cana-1581	35	18	to	to	ADP
cana-1581	35	19	the	the	DET
cana-1581	35	20	stress	stress	NOUN
cana-1581	35	21	tensor	tensor	NOUN
cana-1581	35	22	.	.	PUNCT
cana-1581	36	1	understanding	understand	VERB
cana-1581	36	2	blood	blood	NOUN
cana-1581	36	3	flow	flow	NOUN
cana-1581	36	4	as	as	ADP
cana-1581	36	5	a	a	DET
cana-1581	36	6	couple	couple	NOUN
cana-1581	36	7	stress	stress	NOUN
cana-1581	36	8	fluid	fluid	NOUN
cana-1581	36	9	can	can	AUX
cana-1581	36	10	have	have	VERB
cana-1581	36	11	implications	implication	NOUN
cana-1581	36	12	for	for	ADP
cana-1581	36	13	studying	study	VERB
cana-1581	36	14	hemo	hemo	NOUN
cana-1581	36	15	dynamics	dynamic	NOUN
cana-1581	36	16	,	,	PUNCT
cana-1581	36	17	especially	especially	ADV
cana-1581	36	18	in	in	ADP
cana-1581	36	19	micro	micro	ADJ
cana-1581	36	20	vessels	vessel	NOUN
cana-1581	36	21	and	and	CCONJ
cana-1581	36	22	regions	region	NOUN
cana-1581	36	23	with	with	ADP
cana-1581	36	24	complex	complex	ADJ
cana-1581	36	25	geometries	geometry	NOUN
cana-1581	36	26	.	.	PUNCT
cana-1581	37	1	it	it	PRON
cana-1581	37	2	may	may	AUX
cana-1581	37	3	provide	provide	VERB
cana-1581	37	4	insights	insight	NOUN
cana-1581	37	5	into	into	ADP
cana-1581	37	6	phenomena	phenomenon	NOUN
cana-1581	37	7	such	such	ADJ
cana-1581	37	8	as	as	ADP
cana-1581	37	9	margination	margination	NOUN
cana-1581	37	10	(	(	PUNCT
cana-1581	37	11	concentration	concentration	NOUN
cana-1581	37	12	of	of	ADP
cana-1581	37	13	blood	blood	NOUN
cana-1581	37	14	cells	cell	NOUN
cana-1581	37	15	near	near	ADP
cana-1581	37	16	vessel	vessel	NOUN
cana-1581	37	17	walls	wall	NOUN
cana-1581	37	18	)	)	PUNCT
cana-1581	37	19	and	and	CCONJ
cana-1581	37	20	rheological	rheological	ADJ
cana-1581	37	21	changes	change	NOUN
cana-1581	37	22	under	under	ADP
cana-1581	37	23	pathological	pathological	ADJ
cana-1581	37	24	conditions	condition	NOUN
cana-1581	37	25	[	[	X
cana-1581	37	26	8	8	NUM
cana-1581	37	27	-	-	SYM
cana-1581	37	28	17	17	NUM
cana-1581	37	29	]	]	PUNCT
cana-1581	37	30	.	.	PUNCT
cana-1581	38	1	the	the	DET
cana-1581	38	2	presence	presence	NOUN
cana-1581	38	3	of	of	ADP
cana-1581	38	4	cells	cell	NOUN
cana-1581	38	5	,	,	PUNCT
cana-1581	38	6	proteins	protein	NOUN
cana-1581	38	7	,	,	PUNCT
cana-1581	38	8	and	and	CCONJ
cana-1581	38	9	other	other	ADJ
cana-1581	38	10	microstructures	microstructure	NOUN
cana-1581	38	11	contributes	contribute	VERB
cana-1581	38	12	to	to	ADP
cana-1581	38	13	the	the	DET
cana-1581	38	14	overall	overall	ADJ
cana-1581	38	15	rheological	rheological	ADJ
cana-1581	38	16	response	response	NOUN
cana-1581	38	17	.	.	PUNCT
cana-1581	39	1	fluids	fluid	NOUN
cana-1581	39	2	containing	contain	VERB
cana-1581	39	3	suspended	suspend	VERB
cana-1581	39	4	particles	particle	NOUN
cana-1581	39	5	or	or	CCONJ
cana-1581	39	6	colloids	colloid	NOUN
cana-1581	39	7	interact	interact	VERB
cana-1581	39	8	between	between	ADP
cana-1581	39	9	particles	particle	NOUN
cana-1581	39	10	and	and	CCONJ
cana-1581	39	11	the	the	DET
cana-1581	39	12	surrounding	surround	VERB
cana-1581	39	13	fluid	fluid	ADJ
cana-1581	39	14	introduce	introduce	NOUN
cana-1581	39	15	microscale	microscale	ADJ
cana-1581	39	16	effects	effect	NOUN
cana-1581	39	17	that	that	PRON
cana-1581	39	18	influence	influence	VERB
cana-1581	39	19	the	the	DET
cana-1581	39	20	overall	overall	ADJ
cana-1581	39	21	flow	flow	NOUN
cana-1581	39	22	characteristics	characteristic	NOUN
cana-1581	39	23	.	.	PUNCT
cana-1581	40	1	liquid	liquid	ADJ
cana-1581	40	2	crystal	crystal	NOUN
cana-1581	40	3	fluids	fluid	NOUN
cana-1581	40	4	,	,	PUNCT
cana-1581	40	5	which	which	PRON
cana-1581	40	6	are	be	AUX
cana-1581	40	7	composed	compose	VERB
cana-1581	40	8	of	of	ADP
cana-1581	40	9	anisotropic	anisotropic	NOUN
cana-1581	40	10	molecules	molecule	NOUN
cana-1581	40	11	due	due	ADP
cana-1581	40	12	to	to	ADP
cana-1581	40	13	the	the	DET
cana-1581	40	14	alignment	alignment	NOUN
cana-1581	40	15	and	and	CCONJ
cana-1581	40	16	rotation	rotation	NOUN
cana-1581	40	17	of	of	ADP
cana-1581	40	18	the	the	DET
cana-1581	40	19	molecules	molecule	NOUN
cana-1581	40	20	in	in	ADP
cana-1581	40	21	response	response	NOUN
cana-1581	40	22	to	to	PART
cana-1581	40	23	flow	flow	VERB
cana-1581	40	24	exhibits	exhibit	NOUN
cana-1581	40	25	couple	couple	NOUN
cana-1581	40	26	stress	stress	NOUN
cana-1581	40	27	behaviour	behaviour	NOUN
cana-1581	40	28	.	.	PUNCT
cana-1581	41	1	the	the	DET
cana-1581	41	2	couple	couple	NOUN
cana-1581	41	3	stress	stress	NOUN
cana-1581	41	4	fluids	fluid	NOUN
cana-1581	41	5	exhibit	exhibit	VERB
cana-1581	41	6	more	more	ADV
cana-1581	41	7	complex	complex	ADJ
cana-1581	41	8	flow	flow	NOUN
cana-1581	41	9	patterns	pattern	NOUN
cana-1581	41	10	and	and	CCONJ
cana-1581	41	11	vortical	vortical	ADJ
cana-1581	41	12	structures	structure	NOUN
cana-1581	41	13	compared	compare	VERB
cana-1581	41	14	to	to	ADP
cana-1581	41	15	newtonian	newtonian	ADJ
cana-1581	41	16	fluids	fluid	NOUN
cana-1581	41	17	,	,	PUNCT
cana-1581	41	18	particularly	particularly	ADV
cana-1581	41	19	in	in	ADP
cana-1581	41	20	regions	region	NOUN
cana-1581	41	21	with	with	ADP
cana-1581	41	22	high	high	ADJ
cana-1581	41	23	shear	shear	NOUN
cana-1581	41	24	rates[17	rates[17	PROPN
cana-1581	41	25	]	]	X
cana-1581	41	26	.	.	PUNCT
cana-1581	42	1	the	the	DET
cana-1581	42	2	microstructural	microstructural	ADJ
cana-1581	42	3	effects	effect	NOUN
cana-1581	42	4	in	in	ADP
cana-1581	42	5	couple	couple	NOUN
cana-1581	42	6	stress	stress	NOUN
cana-1581	42	7	fluids	fluid	NOUN
cana-1581	42	8	contribute	contribute	VERB
cana-1581	42	9	to	to	ADP
cana-1581	42	10	a	a	DET
cana-1581	42	11	viscoelastic	viscoelastic	ADJ
cana-1581	42	12	response	response	NOUN
cana-1581	42	13	,	,	PUNCT
cana-1581	42	14	meaning	mean	VERB
cana-1581	42	15	that	that	SCONJ
cana-1581	42	16	these	these	DET
cana-1581	42	17	fluids	fluid	NOUN
cana-1581	42	18	may	may	AUX
cana-1581	42	19	exhibit	exhibit	VERB
cana-1581	42	20	both	both	CCONJ
cana-1581	42	21	viscous	viscous	ADJ
cana-1581	42	22	and	and	CCONJ
cana-1581	42	23	elastic	elastic	ADJ
cana-1581	42	24	behaviour	behaviour	NOUN
cana-1581	42	25	.	.	PUNCT
cana-1581	43	1	there	there	PRON
cana-1581	43	2	are	be	VERB
cana-1581	43	3	various	various	ADJ
cana-1581	43	4	engineering	engineering	NOUN
cana-1581	43	5	applications	application	NOUN
cana-1581	43	6	of	of	ADP
cana-1581	43	7	couple	couple	NOUN
cana-1581	43	8	stress	stress	NOUN
cana-1581	43	9	fluids	fluid	NOUN
cana-1581	43	10	[	[	PUNCT
cana-1581	43	11	19	19	NUM
cana-1581	43	12	-	-	SYM
cana-1581	43	13	43	43	NUM
cana-1581	43	14	]	]	PUNCT
cana-1581	43	15	obtained	obtain	VERB
cana-1581	43	16	by	by	ADP
cana-1581	43	17	understanding	understand	VERB
cana-1581	43	18	the	the	DET
cana-1581	43	19	rheological	rheological	ADJ
cana-1581	43	20	behaviour	behaviour	NOUN
cana-1581	43	21	of	of	ADP
cana-1581	43	22	couple	couple	NOUN
cana-1581	43	23	stress	stress	NOUN
cana-1581	43	24	fluids	fluid	NOUN
cana-1581	43	25	,	,	PUNCT
cana-1581	43	26	including	include	VERB
cana-1581	43	27	biomedical	biomedical	ADJ
cana-1581	43	28	engineering	engineering	NOUN
cana-1581	43	29	,	,	PUNCT
cana-1581	43	30	polymer	polymer	NOUN
cana-1581	43	31	processing	processing	NOUN
cana-1581	43	32	,	,	PUNCT
cana-1581	43	33	and	and	CCONJ
cana-1581	43	34	the	the	DET
cana-1581	43	35	design	design	NOUN
cana-1581	43	36	of	of	ADP
cana-1581	43	37	devices	device	NOUN
cana-1581	43	38	involving	involve	VERB
cana-1581	43	39	microfluidics	microfluidic	NOUN
cana-1581	43	40	.	.	PUNCT
cana-1581	44	1	the	the	DET
cana-1581	44	2	study	study	NOUN
cana-1581	44	3	of	of	ADP
cana-1581	44	4	couple	couple	NOUN
cana-1581	44	5	stress	stress	NOUN
cana-1581	44	6	fluids	fluid	NOUN
cana-1581	44	7	contributes	contribute	VERB
cana-1581	44	8	to	to	ADP
cana-1581	44	9	the	the	DET
cana-1581	44	10	development	development	NOUN
cana-1581	44	11	of	of	ADP
cana-1581	44	12	materials	material	NOUN
cana-1581	44	13	with	with	ADP
cana-1581	44	14	tailored	tailored	ADJ
cana-1581	44	15	rheological	rheological	ADJ
cana-1581	44	16	properties	property	NOUN
cana-1581	44	17	for	for	ADP
cana-1581	44	18	specific	specific	ADJ
cana-1581	44	19	applications	application	NOUN
cana-1581	44	20	,	,	PUNCT
cana-1581	44	21	such	such	ADJ
cana-1581	44	22	as	as	ADP
cana-1581	44	23	enhanced	enhanced	ADJ
cana-1581	44	24	lubrication	lubrication	NOUN
cana-1581	44	25	or	or	CCONJ
cana-1581	44	26	controlled	control	VERB
cana-1581	44	27	drug	drug	NOUN
cana-1581	44	28	delivery	delivery	NOUN
cana-1581	44	29	in	in	ADP
cana-1581	44	30	medical	medical	ADJ
cana-1581	44	31	devices	device	NOUN
cana-1581	44	32	.	.	PUNCT
cana-1581	45	1	hence	hence	ADV
cana-1581	45	2	,	,	PUNCT
cana-1581	45	3	the	the	DET
cana-1581	45	4	couple	couple	NOUN
cana-1581	45	5	stress	stress	NOUN
cana-1581	45	6	fluids	fluid	NOUN
cana-1581	45	7	provide	provide	VERB
cana-1581	45	8	a	a	DET
cana-1581	45	9	more	more	ADV
cana-1581	45	10	refined	refined	ADJ
cana-1581	45	11	description	description	NOUN
cana-1581	45	12	of	of	ADP
cana-1581	45	13	fluid	fluid	ADJ
cana-1581	45	14	behaviour	behaviour	NOUN
cana-1581	45	15	by	by	ADP
cana-1581	45	16	considering	consider	VERB
cana-1581	45	17	microstructural	microstructural	ADJ
cana-1581	45	18	effects	effect	NOUN
cana-1581	45	19	.	.	PUNCT
cana-1581	46	1	the	the	DET
cana-1581	46	2	study	study	NOUN
cana-1581	46	3	of	of	ADP
cana-1581	46	4	these	these	DET
cana-1581	46	5	fluids	fluid	NOUN
cana-1581	46	6	is	be	AUX
cana-1581	46	7	essential	essential	ADJ
cana-1581	46	8	in	in	ADP
cana-1581	46	9	understanding	understanding	NOUN
cana-1581	46	10	and	and	CCONJ
cana-1581	46	11	predicting	predict	VERB
cana-1581	46	12	the	the	DET
cana-1581	46	13	flow	flow	NOUN
cana-1581	46	14	characteristics	characteristic	NOUN
cana-1581	46	15	of	of	ADP
cana-1581	46	16	complex	complex	ADJ
cana-1581	46	17	fluids	fluid	NOUN
cana-1581	46	18	encountered	encounter	VERB
cana-1581	46	19	in	in	ADP
cana-1581	46	20	various	various	ADJ
cana-1581	46	21	natural	natural	ADJ
cana-1581	46	22	and	and	CCONJ
cana-1581	46	23	engineered	engineer	VERB
cana-1581	46	24	systems	system	NOUN
cana-1581	46	25	.	.	PUNCT
cana-1581	47	1	the	the	DET
cana-1581	47	2	couple	couple	NOUN
cana-1581	47	3	stress	stress	NOUN
cana-1581	47	4	fluids	fluid	NOUN
cana-1581	47	5	are	be	AUX
cana-1581	47	6	a	a	DET
cana-1581	47	7	kind	kind	NOUN
cana-1581	47	8	of	of	ADP
cana-1581	47	9	micropolar	micropolar	ADJ
cana-1581	47	10	fluids	fluid	NOUN
cana-1581	47	11	and	and	CCONJ
cana-1581	47	12	also	also	ADV
cana-1581	47	13	a	a	DET
cana-1581	47	14	non	non	ADJ
cana-1581	47	15	–	–	PUNCT
cana-1581	47	16	newtonian	newtonian	ADJ
cana-1581	47	17	fluid	fluid	NOUN
cana-1581	47	18	that	that	PRON
cana-1581	47	19	accounts	account	VERB
cana-1581	47	20	for	for	ADP
cana-1581	47	21	the	the	DET
cana-1581	47	22	effects	effect	NOUN
cana-1581	47	23	of	of	ADP
cana-1581	47	24	microstructure	microstructure	NOUN
cana-1581	47	25	in	in	ADP
cana-1581	47	26	the	the	DET
cana-1581	47	27	fluid	fluid	NOUN
cana-1581	47	28	.	.	PUNCT
cana-1581	48	1	in	in	ADP
cana-1581	48	2	the	the	DET
cana-1581	48	3	couple	couple	NOUN
cana-1581	48	4	stress	stress	NOUN
cana-1581	48	5	fluid	fluid	NOUN
cana-1581	48	6	model	model	NOUN
cana-1581	48	7	additional	additional	ADJ
cana-1581	48	8	internal	internal	ADJ
cana-1581	48	9	micro	micro	NOUN
cana-1581	48	10	–	–	PUNCT
cana-1581	48	11	rotations	rotation	NOUN
cana-1581	48	12	and	and	CCONJ
cana-1581	48	13	micro	micro	ADJ
cana-1581	48	14	–	–	PUNCT
cana-1581	48	15	deformations	deformation	NOUN
cana-1581	48	16	are	be	AUX
cana-1581	48	17	considered	consider	VERB
cana-1581	48	18	.	.	PUNCT
cana-1581	49	1	this	this	DET
cana-1581	49	2	microstructure	microstructure	ADJ
cana-1581	49	3	introduces	introduce	NOUN
cana-1581	49	4	an	an	DET
cana-1581	49	5	additional	additional	ADJ
cana-1581	49	6	complexity	complexity	NOUN
cana-1581	49	7	to	to	ADP
cana-1581	49	8	fluid	fluid	ADJ
cana-1581	49	9	dynamics	dynamic	NOUN
cana-1581	49	10	and	and	CCONJ
cana-1581	49	11	its	its	PRON
cana-1581	49	12	behaviour	behaviour	NOUN
cana-1581	49	13	is	be	AUX
cana-1581	49	14	characterized	characterize	VERB
cana-1581	49	15	by	by	ADP
cana-1581	49	16	a	a	DET
cana-1581	49	17	couple	couple	NOUN
cana-1581	49	18	stress	stress	NOUN
cana-1581	49	19	tensor	tensor	NOUN
cana-1581	49	20	.	.	PUNCT
cana-1581	50	1	this	this	DET
cana-1581	50	2	tensor	tensor	NOUN
cana-1581	50	3	describes	describe	VERB
cana-1581	50	4	the	the	DET
cana-1581	50	5	internal	internal	ADJ
cana-1581	50	6	moments	moment	NOUN
cana-1581	50	7	or	or	CCONJ
cana-1581	50	8	torques	torque	NOUN
cana-1581	50	9	within	within	ADP
cana-1581	50	10	the	the	DET
cana-1581	50	11	fluid	fluid	NOUN
cana-1581	50	12	.	.	PUNCT
cana-1581	51	1	couple	couple	NOUN
cana-1581	51	2	stress	stress	NOUN
cana-1581	51	3	fluids	fluid	NOUN
cana-1581	51	4	incorporate	incorporate	VERB
cana-1581	51	5	microscale	microscale	ADJ
cana-1581	51	6	effects	effect	NOUN
cana-1581	51	7	within	within	ADP
cana-1581	51	8	the	the	DET
cana-1581	51	9	fluid	fluid	NOUN
cana-1581	51	10	.	.	PUNCT
cana-1581	52	1	these	these	DET
cana-1581	52	2	microstructures	microstructure	NOUN
cana-1581	52	3	represent	represent	VERB
cana-1581	52	4	the	the	DET
cana-1581	52	5	inherent	inherent	ADJ
cana-1581	52	6	rotational	rotational	ADJ
cana-1581	52	7	or	or	CCONJ
cana-1581	52	8	deformational	deformational	ADJ
cana-1581	52	9	aspects	aspect	NOUN
cana-1581	52	10	at	at	ADP
cana-1581	52	11	the	the	DET
cana-1581	52	12	microscopic	microscopic	ADJ
cana-1581	52	13	level	level	NOUN
cana-1581	52	14	.	.	PUNCT
cana-1581	53	1	the	the	DET
cana-1581	53	2	distinguishing	distinguish	VERB
cana-1581	53	3	feature	feature	NOUN
cana-1581	53	4	of	of	ADP
cana-1581	53	5	couple	couple	NOUN
cana-1581	53	6	stress	stress	NOUN
cana-1581	53	7	fluids	fluid	NOUN
cana-1581	53	8	is	be	AUX
cana-1581	53	9	the	the	DET
cana-1581	53	10	inclusion	inclusion	NOUN
cana-1581	53	11	of	of	ADP
cana-1581	53	12	a	a	DET
cana-1581	53	13	couple	couple	NOUN
cana-1581	53	14	stress	stress	NOUN
cana-1581	53	15	tensor	tensor	NOUN
cana-1581	53	16	in	in	ADP
cana-1581	53	17	the	the	DET
cana-1581	53	18	stress	stress	NOUN
cana-1581	53	19	-	-	PUNCT
cana-1581	53	20	strain	strain	NOUN
cana-1581	53	21	relationship	relationship	NOUN
cana-1581	53	22	.	.	PUNCT
cana-1581	54	1	this	this	DET
cana-1581	54	2	tensor	tensor	NOUN
cana-1581	54	3	describes	describe	VERB
cana-1581	54	4	the	the	DET
cana-1581	54	5	internal	internal	ADJ
cana-1581	54	6	moments	moment	NOUN
cana-1581	54	7	or	or	CCONJ
cana-1581	54	8	torques	torque	NOUN
cana-1581	54	9	within	within	ADP
cana-1581	54	10	the	the	DET
cana-1581	54	11	fluid	fluid	NOUN
cana-1581	54	12	.	.	PUNCT
cana-1581	55	1	in	in	ADP
cana-1581	55	2	addition	addition	NOUN
cana-1581	55	3	to	to	ADP
cana-1581	55	4	the	the	DET
cana-1581	55	5	conservation	conservation	NOUN
cana-1581	55	6	of	of	ADP
cana-1581	55	7	mass	mass	NOUN
cana-1581	55	8	and	and	CCONJ
cana-1581	55	9	momentum	momentum	NOUN
cana-1581	55	10	equations	equation	NOUN
cana-1581	55	11	,	,	PUNCT
cana-1581	55	12	couple	couple	NOUN
cana-1581	55	13	stress	stress	NOUN
cana-1581	55	14	fluids	fluid	NOUN
cana-1581	55	15	require	require	VERB
cana-1581	55	16	additional	additional	ADJ
cana-1581	55	17	equations	equation	NOUN
cana-1581	55	18	governing	govern	VERB
cana-1581	55	19	the	the	DET
cana-1581	55	20	evolution	evolution	NOUN
cana-1581	55	21	of	of	ADP
cana-1581	55	22	microstructure	microstructure	NOUN
cana-1581	55	23	,	,	PUNCT
cana-1581	55	24	introducing	introduce	VERB
cana-1581	55	25	new	new	ADJ
cana-1581	55	26	parameters	parameter	NOUN
cana-1581	55	27	related	relate	VERB
cana-1581	55	28	to	to	ADP
cana-1581	55	29	micro	micro	NOUN
cana-1581	55	30	-	-	NOUN
cana-1581	55	31	rotation	rotation	NOUN
cana-1581	55	32	.	.	PUNCT
cana-1581	56	1	these	these	DET
cana-1581	56	2	governing	govern	VERB
cana-1581	56	3	equations	equation	NOUN
cana-1581	56	4	was	be	AUX
cana-1581	56	5	first	first	ADV
cana-1581	56	6	modelled	model	VERB
cana-1581	56	7	by	by	ADP
cana-1581	56	8	v	v	PROPN
cana-1581	56	9	k	k	PROPN
cana-1581	56	10	stokes	stoke	NOUN
cana-1581	56	11	and	and	CCONJ
cana-1581	56	12	is	be	AUX
cana-1581	56	13	given	give	VERB
cana-1581	56	14	by	by	ADP
cana-1581	56	15	[	[	X
cana-1581	56	16	1	1	NUM
cana-1581	56	17	]	]	PUNCT
cana-1581	56	18	.	.	PUNCT
cana-1581	57	1	understanding	understand	VERB
cana-1581	57	2	sphere	sphere	NOUN
cana-1581	57	3	flow	flow	NOUN
cana-1581	57	4	in	in	ADP
cana-1581	57	5	couple	couple	NOUN
cana-1581	57	6	stress	stress	NOUN
cana-1581	57	7	fluids	fluid	NOUN
cana-1581	57	8	at	at	ADP
cana-1581	57	9	low	low	ADJ
cana-1581	57	10	reynolds	reynolds	PROPN
cana-1581	57	11	number	number	NOUN
cana-1581	57	12	the	the	DET
cana-1581	57	13	behaviour	behaviour	NOUN
cana-1581	57	14	of	of	ADP
cana-1581	57	15	fluids	fluid	NOUN
cana-1581	57	16	can	can	AUX
cana-1581	57	17	be	be	AUX
cana-1581	57	18	described	describe	VERB
cana-1581	57	19	using	use	VERB
cana-1581	57	20	a	a	DET
cana-1581	57	21	concept	concept	NOUN
cana-1581	57	22	known	know	VERB
cana-1581	57	23	as	as	ADP
cana-1581	57	24	couple	couple	NOUN
cana-1581	57	25	stress	stress	NOUN
cana-1581	57	26	fluids	fluid	NOUN
cana-1581	57	27	,	,	PUNCT
cana-1581	57	28	which	which	PRON
cana-1581	57	29	take	take	VERB
cana-1581	57	30	into	into	ADP
cana-1581	57	31	account	account	NOUN
cana-1581	57	32	the	the	DET
cana-1581	57	33	microstructure	microstructure	NOUN
cana-1581	57	34	and	and	CCONJ
cana-1581	57	35	the	the	DET
cana-1581	57	36	intermolecular	intermolecular	ADJ
cana-1581	57	37	interactions	interaction	NOUN
cana-1581	57	38	within	within	ADP
cana-1581	57	39	the	the	DET
cana-1581	57	40	fluid	fluid	NOUN
cana-1581	57	41	.	.	PUNCT
cana-1581	58	1	in	in	ADP
cana-1581	58	2	couple	couple	NOUN
cana-1581	58	3	stress	stress	NOUN
cana-1581	58	4	fluids	fluid	NOUN
cana-1581	58	5	,	,	PUNCT
cana-1581	58	6	the	the	DET
cana-1581	58	7	stress	stress	NOUN
cana-1581	58	8	at	at	ADP
cana-1581	58	9	a	a	DET
cana-1581	58	10	point	point	NOUN
cana-1581	58	11	is	be	AUX
cana-1581	58	12	not	not	PART
cana-1581	58	13	only	only	ADV
cana-1581	58	14	dependent	dependent	ADJ
cana-1581	58	15	on	on	ADP
cana-1581	58	16	the	the	DET
cana-1581	58	17	rate	rate	NOUN
cana-1581	58	18	of	of	ADP
cana-1581	58	19	strain	strain	NOUN
cana-1581	58	20	but	but	CCONJ
cana-1581	58	21	also	also	ADV
cana-1581	58	22	on	on	ADP
cana-1581	58	23	the	the	DET
cana-1581	58	24	rate	rate	NOUN
cana-1581	58	25	of	of	ADP
cana-1581	58	26	rotation	rotation	NOUN
cana-1581	58	27	at	at	ADP
cana-1581	58	28	that	that	DET
cana-1581	58	29	point	point	NOUN
cana-1581	58	30	.	.	PUNCT
cana-1581	59	1	this	this	DET
cana-1581	59	2	unique	unique	ADJ
cana-1581	59	3	characteristic	characteristic	NOUN
cana-1581	59	4	of	of	ADP
cana-1581	59	5	couple	couple	NOUN
cana-1581	59	6	stress	stress	NOUN
cana-1581	59	7	fluids	fluid	NOUN
cana-1581	59	8	leads	lead	VERB
cana-1581	59	9	to	to	ADP
cana-1581	59	10	deviations	deviation	NOUN
cana-1581	59	11	from	from	ADP
cana-1581	59	12	the	the	DET
cana-1581	59	13	predictions	prediction	NOUN
cana-1581	59	14	of	of	ADP
cana-1581	59	15	classical	classical	ADJ
cana-1581	59	16	fluid	fluid	ADJ
cana-1581	59	17	mechanics	mechanic	NOUN
cana-1581	59	18	.	.	PUNCT
cana-1581	60	1	when	when	SCONJ
cana-1581	60	2	considering	consider	VERB
cana-1581	60	3	low	low	ADJ
cana-1581	60	4	reynolds	reynold	NOUN
cana-1581	60	5	number	number	NOUN
cana-1581	60	6	in	in	ADP
cana-1581	60	7	fluid	fluid	ADJ
cana-1581	60	8	mechanics	mechanic	NOUN
cana-1581	60	9	,	,	PUNCT
cana-1581	60	10	the	the	DET
cana-1581	60	11	inertial	inertial	ADJ
cana-1581	60	12	forces	force	NOUN
cana-1581	60	13	are	be	AUX
cana-1581	60	14	negligible	negligible	ADJ
cana-1581	60	15	compared	compare	VERB
cana-1581	60	16	to	to	ADP
cana-1581	60	17	viscous	viscous	ADJ
cana-1581	60	18	forces	force	NOUN
cana-1581	60	19	,	,	PUNCT
cana-1581	60	20	resulting	result	VERB
cana-1581	60	21	in	in	ADP
cana-1581	60	22	a	a	DET
cana-1581	60	23	laminar	laminar	ADJ
cana-1581	60	24	flow	flow	NOUN
cana-1581	60	25	regime	regime	NOUN
cana-1581	60	26	.	.	PUNCT
cana-1581	61	1	this	this	PRON
cana-1581	61	2	has	have	VERB
cana-1581	61	3	significant	significant	ADJ
cana-1581	61	4	implications	implication	NOUN
cana-1581	61	5	for	for	ADP
cana-1581	61	6	the	the	DET
cana-1581	61	7	behaviour	behaviour	NOUN
cana-1581	61	8	of	of	ADP
cana-1581	61	9	fluids	fluid	NOUN
cana-1581	61	10	around	around	ADP
cana-1581	61	11	objects	object	NOUN
cana-1581	61	12	such	such	ADJ
cana-1581	61	13	as	as	ADP
cana-1581	61	14	spheres	sphere	NOUN
cana-1581	61	15	,	,	PUNCT
cana-1581	61	16	as	as	SCONJ
cana-1581	61	17	the	the	DET
cana-1581	61	18	flow	flow	NOUN
cana-1581	61	19	patterns	pattern	NOUN
cana-1581	61	20	and	and	CCONJ
cana-1581	61	21	drag	drag	NOUN
cana-1581	61	22	forces	force	NOUN
cana-1581	61	23	experienced	experience	VERB
cana-1581	61	24	by	by	ADP
cana-1581	61	25	the	the	DET
cana-1581	61	26	sphere	sphere	NOUN
cana-1581	61	27	are	be	AUX
cana-1581	61	28	greatly	greatly	ADV
cana-1581	61	29	influenced	influence	VERB
cana-1581	61	30	by	by	ADP
cana-1581	61	31	the	the	DET
cana-1581	61	32	low	low	ADJ
cana-1581	61	33	reynolds	reynolds	PROPN
cana-1581	61	34	number	number	NOUN
cana-1581	61	35	conditions	condition	NOUN
cana-1581	61	36	.	.	PUNCT
cana-1581	62	1	communications	communication	NOUN
cana-1581	62	2	on	on	ADP
cana-1581	62	3	applied	apply	VERB
cana-1581	62	4	nonlinear	nonlinear	ADJ
cana-1581	62	5	analysis	analysis	NOUN
cana-1581	62	6	issn	issn	NOUN
cana-1581	62	7	:	:	PUNCT
cana-1581	62	8	1074	1074	NUM
cana-1581	62	9	-	-	PUNCT
cana-1581	62	10	133x	133x	NUM
cana-1581	62	11	vol	vol	NOUN
cana-1581	62	12	31	31	NUM
cana-1581	62	13	no	no	NOUN
cana-1581	62	14	.	.	PUNCT
cana-1581	63	1	8s	8s	PROPN
cana-1581	63	2	(	(	PUNCT
cana-1581	63	3	2024	2024	NUM
cana-1581	63	4	)	)	PUNCT
cana-1581	63	5	718	718	NUM
cana-1581	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	63	7	governing	govern	VERB
cana-1581	63	8	equations	equation	NOUN
cana-1581	63	9	in	in	ADP
cana-1581	63	10	the	the	DET
cana-1581	63	11	study	study	NOUN
cana-1581	63	12	of	of	ADP
cana-1581	63	13	couple	couple	NOUN
cana-1581	63	14	stress	stress	NOUN
cana-1581	63	15	fluids	fluid	NOUN
cana-1581	63	16	,	,	PUNCT
cana-1581	63	17	the	the	DET
cana-1581	63	18	governing	govern	VERB
cana-1581	63	19	equations	equation	NOUN
cana-1581	63	20	play	play	VERB
cana-1581	63	21	a	a	DET
cana-1581	63	22	crucial	crucial	ADJ
cana-1581	63	23	role	role	NOUN
cana-1581	63	24	in	in	ADP
cana-1581	63	25	understanding	understand	VERB
cana-1581	63	26	the	the	DET
cana-1581	63	27	behaviour	behaviour	NOUN
cana-1581	63	28	of	of	ADP
cana-1581	63	29	such	such	ADJ
cana-1581	63	30	fluids	fluid	NOUN
cana-1581	63	31	,	,	PUNCT
cana-1581	63	32	especially	especially	ADV
cana-1581	63	33	at	at	ADP
cana-1581	63	34	low	low	ADJ
cana-1581	63	35	reynolds	reynolds	PROPN
cana-1581	63	36	numbers	number	NOUN
cana-1581	63	37	.	.	PUNCT
cana-1581	64	1	the	the	DET
cana-1581	64	2	specific	specific	ADJ
cana-1581	64	3	equations	equation	NOUN
cana-1581	64	4	that	that	PRON
cana-1581	64	5	apply	apply	VERB
cana-1581	64	6	to	to	ADP
cana-1581	64	7	low	low	ADJ
cana-1581	64	8	reynolds	reynold	NOUN
cana-1581	64	9	number	number	NOUN
cana-1581	64	10	flow	flow	NOUN
cana-1581	64	11	in	in	ADP
cana-1581	64	12	couple	couple	NOUN
cana-1581	64	13	stress	stress	NOUN
cana-1581	64	14	fluids	fluid	NOUN
cana-1581	64	15	include	include	VERB
cana-1581	64	16	the	the	DET
cana-1581	64	17	momentum	momentum	NOUN
cana-1581	64	18	balance	balance	NOUN
cana-1581	64	19	equation	equation	NOUN
cana-1581	64	20	,	,	PUNCT
cana-1581	64	21	which	which	PRON
cana-1581	64	22	incorporates	incorporate	VERB
cana-1581	64	23	the	the	DET
cana-1581	64	24	effects	effect	NOUN
cana-1581	64	25	of	of	ADP
cana-1581	64	26	couple	couple	NOUN
cana-1581	64	27	stresses	stress	NOUN
cana-1581	64	28	,	,	PUNCT
cana-1581	64	29	and	and	CCONJ
cana-1581	64	30	the	the	DET
cana-1581	64	31	angular	angular	ADJ
cana-1581	64	32	momentum	momentum	NOUN
cana-1581	64	33	balance	balance	NOUN
cana-1581	64	34	equation	equation	NOUN
cana-1581	64	35	,	,	PUNCT
cana-1581	64	36	which	which	PRON
cana-1581	64	37	accounts	account	VERB
cana-1581	64	38	for	for	ADP
cana-1581	64	39	the	the	DET
cana-1581	64	40	microstructure	microstructure	NOUN
cana-1581	64	41	of	of	ADP
cana-1581	64	42	the	the	DET
cana-1581	64	43	fluid	fluid	NOUN
cana-1581	64	44	.	.	PUNCT
cana-1581	65	1	these	these	DET
cana-1581	65	2	equations	equation	NOUN
cana-1581	65	3	,	,	PUNCT
cana-1581	65	4	when	when	SCONJ
cana-1581	65	5	applied	apply	VERB
cana-1581	65	6	to	to	ADP
cana-1581	65	7	low	low	ADJ
cana-1581	65	8	reynolds	reynold	NOUN
cana-1581	65	9	number	number	NOUN
cana-1581	65	10	flow	flow	NOUN
cana-1581	65	11	,	,	PUNCT
cana-1581	65	12	offer	offer	VERB
cana-1581	65	13	insights	insight	NOUN
cana-1581	65	14	into	into	ADP
cana-1581	65	15	the	the	DET
cana-1581	65	16	intricate	intricate	ADJ
cana-1581	65	17	interplay	interplay	NOUN
cana-1581	65	18	between	between	ADP
cana-1581	65	19	viscous	viscous	ADJ
cana-1581	65	20	forces	force	NOUN
cana-1581	65	21	,	,	PUNCT
cana-1581	65	22	couple	couple	NOUN
cana-1581	65	23	stresses	stress	NOUN
cana-1581	65	24	,	,	PUNCT
cana-1581	65	25	and	and	CCONJ
cana-1581	65	26	inertial	inertial	ADJ
cana-1581	65	27	forces	force	NOUN
cana-1581	65	28	,	,	PUNCT
cana-1581	65	29	providing	provide	VERB
cana-1581	65	30	a	a	DET
cana-1581	65	31	comprehensive	comprehensive	ADJ
cana-1581	65	32	framework	framework	NOUN
cana-1581	65	33	for	for	ADP
cana-1581	65	34	analysing	analyse	VERB
cana-1581	65	35	the	the	DET
cana-1581	65	36	dynamics	dynamic	NOUN
cana-1581	65	37	of	of	ADP
cana-1581	65	38	such	such	ADJ
cana-1581	65	39	fluids	fluid	NOUN
cana-1581	65	40	in	in	ADP
cana-1581	65	41	the	the	DET
cana-1581	65	42	presence	presence	NOUN
cana-1581	65	43	of	of	ADP
cana-1581	65	44	a	a	DET
cana-1581	65	45	sphere	sphere	NOUN
cana-1581	65	46	.	.	PUNCT
cana-1581	66	1	in	in	ADP
cana-1581	66	2	the	the	DET
cana-1581	66	3	study	study	NOUN
cana-1581	66	4	of	of	ADP
cana-1581	66	5	couple	couple	NOUN
cana-1581	66	6	stress	stress	NOUN
cana-1581	66	7	fluids	fluid	NOUN
cana-1581	66	8	,	,	PUNCT
cana-1581	66	9	it	it	PRON
cana-1581	66	10	is	be	AUX
cana-1581	66	11	crucial	crucial	ADJ
cana-1581	66	12	to	to	PART
cana-1581	66	13	derive	derive	VERB
cana-1581	66	14	and	and	CCONJ
cana-1581	66	15	understand	understand	VERB
cana-1581	66	16	the	the	DET
cana-1581	66	17	governing	govern	VERB
cana-1581	66	18	equations	equation	NOUN
cana-1581	66	19	that	that	PRON
cana-1581	66	20	describe	describe	VERB
cana-1581	66	21	their	their	PRON
cana-1581	66	22	behaviour	behaviour	NOUN
cana-1581	66	23	,	,	PUNCT
cana-1581	66	24	particularly	particularly	ADV
cana-1581	66	25	at	at	ADP
cana-1581	66	26	low	low	ADJ
cana-1581	66	27	reynolds	reynold	NOUN
cana-1581	66	28	numbers	number	NOUN
cana-1581	66	29	.	.	PUNCT
cana-1581	67	1	the	the	DET
cana-1581	67	2	low	low	ADJ
cana-1581	67	3	reynolds	reynolds	PROPN
cana-1581	67	4	number	number	NOUN
cana-1581	67	5	regime	regime	NOUN
cana-1581	67	6	is	be	AUX
cana-1581	67	7	characterized	characterize	VERB
cana-1581	67	8	by	by	ADP
cana-1581	67	9	the	the	DET
cana-1581	67	10	dominance	dominance	NOUN
cana-1581	67	11	of	of	ADP
cana-1581	67	12	viscous	viscous	ADJ
cana-1581	67	13	forces	force	NOUN
cana-1581	67	14	over	over	ADP
cana-1581	67	15	inertial	inertial	ADJ
cana-1581	67	16	forces	force	NOUN
cana-1581	67	17	,	,	PUNCT
cana-1581	67	18	making	make	VERB
cana-1581	67	19	it	it	PRON
cana-1581	67	20	essential	essential	ADJ
cana-1581	67	21	to	to	PART
cana-1581	67	22	account	account	VERB
cana-1581	67	23	for	for	ADP
cana-1581	67	24	the	the	DET
cana-1581	67	25	effects	effect	NOUN
cana-1581	67	26	of	of	ADP
cana-1581	67	27	microstructural	microstructural	ADJ
cana-1581	67	28	phenomena	phenomenon	NOUN
cana-1581	67	29	such	such	ADJ
cana-1581	67	30	as	as	ADP
cana-1581	67	31	couple	couple	NOUN
cana-1581	67	32	stresses	stress	NOUN
cana-1581	67	33	.	.	PUNCT
cana-1581	68	1	two	two	NUM
cana-1581	68	2	fundamental	fundamental	ADJ
cana-1581	68	3	equations	equation	NOUN
cana-1581	68	4	that	that	PRON
cana-1581	68	5	play	play	VERB
cana-1581	68	6	a	a	DET
cana-1581	68	7	key	key	ADJ
cana-1581	68	8	role	role	NOUN
cana-1581	68	9	in	in	ADP
cana-1581	68	10	describing	describe	VERB
cana-1581	68	11	low	low	ADJ
cana-1581	68	12	reynolds	reynold	NOUN
cana-1581	68	13	number	number	NOUN
cana-1581	68	14	flow	flow	NOUN
cana-1581	68	15	in	in	ADP
cana-1581	68	16	couple	couple	NOUN
cana-1581	68	17	stress	stress	NOUN
cana-1581	68	18	fluids	fluid	NOUN
cana-1581	68	19	are	be	AUX
cana-1581	68	20	the	the	DET
cana-1581	68	21	momentum	momentum	NOUN
cana-1581	68	22	balance	balance	NOUN
cana-1581	68	23	equation	equation	NOUN
cana-1581	68	24	and	and	CCONJ
cana-1581	68	25	the	the	DET
cana-1581	68	26	angular	angular	ADJ
cana-1581	68	27	momentum	momentum	NOUN
cana-1581	68	28	balance	balance	NOUN
cana-1581	68	29	equation	equation	NOUN
cana-1581	68	30	.	.	PUNCT
cana-1581	69	1	the	the	DET
cana-1581	69	2	motivation	motivation	NOUN
cana-1581	69	3	and	and	CCONJ
cana-1581	69	4	objective	objective	NOUN
cana-1581	69	5	of	of	ADP
cana-1581	69	6	the	the	DET
cana-1581	69	7	research	research	NOUN
cana-1581	69	8	in	in	ADP
cana-1581	69	9	this	this	DET
cana-1581	69	10	work	work	NOUN
cana-1581	69	11	the	the	DET
cana-1581	69	12	viscous	viscous	ADJ
cana-1581	69	13	force	force	NOUN
cana-1581	69	14	and	and	CCONJ
cana-1581	69	15	the	the	DET
cana-1581	69	16	inertial	inertial	ADJ
cana-1581	69	17	force	force	NOUN
cana-1581	69	18	is	be	AUX
cana-1581	69	19	taken	take	VERB
cana-1581	69	20	care	care	NOUN
cana-1581	69	21	of	of	ADP
cana-1581	69	22	by	by	ADP
cana-1581	69	23	the	the	DET
cana-1581	69	24	particle	particle	NOUN
cana-1581	69	25	reynolds	reynolds	PROPN
cana-1581	69	26	number	number	NOUN
cana-1581	69	27	and	and	CCONJ
cana-1581	69	28	the	the	DET
cana-1581	69	29	couple	couple	NOUN
cana-1581	69	30	stresses	stress	NOUN
cana-1581	69	31	are	be	AUX
cana-1581	69	32	taken	take	VERB
cana-1581	69	33	care	care	NOUN
cana-1581	69	34	by	by	ADP
cana-1581	69	35	the	the	DET
cana-1581	69	36	couple	couple	NOUN
cana-1581	69	37	stress	stress	NOUN
cana-1581	69	38	parameter	parameter	NOUN
cana-1581	69	39	given	give	VERB
cana-1581	69	40	by	by	ADP
cana-1581	69	41	stokes	stoke	NOUN
cana-1581	70	1	[	[	X
cana-1581	70	2	1	1	NUM
cana-1581	70	3	]	]	PUNCT
cana-1581	70	4	.	.	PUNCT
cana-1581	71	1	this	this	DET
cana-1581	71	2	work	work	NOUN
cana-1581	71	3	is	be	AUX
cana-1581	71	4	a	a	DET
cana-1581	71	5	first	first	ADJ
cana-1581	71	6	attempt	attempt	NOUN
cana-1581	71	7	to	to	PART
cana-1581	71	8	combine	combine	VERB
cana-1581	71	9	the	the	DET
cana-1581	71	10	hydrodynamic	hydrodynamic	ADJ
cana-1581	71	11	force	force	NOUN
cana-1581	71	12	expression	expression	NOUN
cana-1581	71	13	given	give	VERB
cana-1581	71	14	by	by	ADP
cana-1581	71	15	lovalenti	lovalenti	ADJ
cana-1581	71	16	and	and	CCONJ
cana-1581	71	17	brady	brady	PROPN
cana-1581	71	18	[	[	X
cana-1581	71	19	2	2	NUM
cana-1581	71	20	]	]	PUNCT
cana-1581	71	21	and	and	CCONJ
cana-1581	71	22	the	the	DET
cana-1581	71	23	drag	drag	NOUN
cana-1581	71	24	expression	expression	NOUN
cana-1581	71	25	for	for	ADP
cana-1581	71	26	the	the	DET
cana-1581	71	27	spherical	spherical	ADJ
cana-1581	71	28	particle	particle	NOUN
cana-1581	71	29	in	in	ADP
cana-1581	71	30	couple	couple	NOUN
cana-1581	71	31	stress	stress	NOUN
cana-1581	71	32	fluid	fluid	NOUN
cana-1581	71	33	given	give	VERB
cana-1581	71	34	by	by	ADP
cana-1581	71	35	stokes	stoke	NOUN
cana-1581	71	36	[	[	X
cana-1581	71	37	1	1	NUM
cana-1581	71	38	]	]	PUNCT
cana-1581	71	39	.	.	PUNCT
cana-1581	72	1	the	the	DET
cana-1581	72	2	motivation	motivation	NOUN
cana-1581	72	3	for	for	ADP
cana-1581	72	4	this	this	DET
cana-1581	72	5	work	work	NOUN
cana-1581	72	6	is	be	AUX
cana-1581	72	7	that	that	SCONJ
cana-1581	72	8	the	the	DET
cana-1581	72	9	expression	expression	NOUN
cana-1581	72	10	for	for	ADP
cana-1581	72	11	long	long	ADJ
cana-1581	72	12	time	time	NOUN
cana-1581	72	13	limit	limit	NOUN
cana-1581	72	14	is	be	AUX
cana-1581	72	15	given	give	VERB
cana-1581	72	16	by	by	ADP
cana-1581	72	17	lovalenti	lovalenti	ADJ
cana-1581	72	18	and	and	CCONJ
cana-1581	72	19	brady	brady	PROPN
cana-1581	72	20	[	[	X
cana-1581	72	21	2	2	NUM
cana-1581	72	22	]	]	PUNCT
cana-1581	72	23	and	and	CCONJ
cana-1581	72	24	the	the	DET
cana-1581	72	25	drag	drag	NOUN
cana-1581	72	26	expression	expression	NOUN
cana-1581	72	27	for	for	ADP
cana-1581	72	28	various	various	ADJ
cana-1581	72	29	radius	radius	NOUN
cana-1581	72	30	are	be	AUX
cana-1581	72	31	given	give	VERB
cana-1581	72	32	by	by	ADP
cana-1581	72	33	stokes	stoke	NOUN
cana-1581	72	34	[	[	X
cana-1581	72	35	50	50	NUM
cana-1581	72	36	,	,	PUNCT
cana-1581	72	37	1	1	NUM
cana-1581	72	38	]	]	PUNCT
cana-1581	72	39	.	.	PUNCT
cana-1581	73	1	until	until	ADP
cana-1581	73	2	now	now	ADV
cana-1581	73	3	the	the	DET
cana-1581	73	4	attempt	attempt	NOUN
cana-1581	73	5	to	to	PART
cana-1581	73	6	combine	combine	VERB
cana-1581	73	7	these	these	PRON
cana-1581	73	8	were	be	AUX
cana-1581	73	9	not	not	PART
cana-1581	73	10	found	find	VERB
cana-1581	73	11	in	in	ADP
cana-1581	73	12	the	the	DET
cana-1581	73	13	literature	literature	NOUN
cana-1581	73	14	.	.	PUNCT
cana-1581	74	1	hence	hence	ADV
cana-1581	74	2	the	the	DET
cana-1581	74	3	curious	curious	ADJ
cana-1581	74	4	question	question	NOUN
cana-1581	74	5	answered	answer	VERB
cana-1581	74	6	here	here	ADV
cana-1581	74	7	is	be	AUX
cana-1581	74	8	what	what	PRON
cana-1581	74	9	is	be	AUX
cana-1581	74	10	the	the	DET
cana-1581	74	11	hydrodynamic	hydrodynamic	ADJ
cana-1581	74	12	force	force	NOUN
cana-1581	74	13	over	over	ADP
cana-1581	74	14	a	a	DET
cana-1581	74	15	sphere	sphere	NOUN
cana-1581	74	16	at	at	ADP
cana-1581	74	17	low	low	ADJ
cana-1581	74	18	reynolds	reynolds	PROPN
cana-1581	74	19	numbers	number	NOUN
cana-1581	74	20	in	in	ADP
cana-1581	74	21	the	the	DET
cana-1581	74	22	presence	presence	NOUN
cana-1581	74	23	of	of	ADP
cana-1581	74	24	couple	couple	NOUN
cana-1581	74	25	stresses	stress	NOUN
cana-1581	74	26	.	.	PUNCT
cana-1581	75	1	formulation	formulation	NOUN
cana-1581	75	2	of	of	ADP
cana-1581	75	3	the	the	DET
cana-1581	75	4	problem	problem	NOUN
cana-1581	75	5	the	the	DET
cana-1581	75	6	lovalenti	lovalenti	ADJ
cana-1581	75	7	and	and	CCONJ
cana-1581	75	8	brady	brady	PROPN
cana-1581	75	9	(	(	PUNCT
cana-1581	75	10	1993	1993	NUM
cana-1581	75	11	)	)	PUNCT
cana-1581	75	12	formalism	formalism	NOUN
cana-1581	75	13	for	for	ADP
cana-1581	75	14	the	the	DET
cana-1581	75	15	hydrodynamic	hydrodynamic	ADJ
cana-1581	75	16	force	force	NOUN
cana-1581	75	17	on	on	ADP
cana-1581	75	18	a	a	DET
cana-1581	75	19	rigid	rigid	ADJ
cana-1581	75	20	sphere	sphere	NOUN
cana-1581	75	21	undergoing	undergo	VERB
cana-1581	75	22	arbitrary	arbitrary	ADJ
cana-1581	75	23	time	time	NOUN
cana-1581	75	24	–	–	PUNCT
cana-1581	75	25	dependent	dependent	ADJ
cana-1581	75	26	motion	motion	NOUN
cana-1581	75	27	in	in	ADP
cana-1581	75	28	an	an	DET
cana-1581	75	29	arbitrary	arbitrary	ADJ
cana-1581	75	30	time	time	NOUN
cana-1581	75	31	dependent	dependent	ADJ
cana-1581	75	32	uniform	uniform	ADJ
cana-1581	75	33	flow	flow	NOUN
cana-1581	75	34	field	field	NOUN
cana-1581	75	35	at	at	ADP
cana-1581	75	36	small	small	ADJ
cana-1581	75	37	reynolds	reynold	NOUN
cana-1581	75	38	numbers	number	NOUN
cana-1581	75	39	is	be	AUX
cana-1581	75	40	given	give	VERB
cana-1581	75	41	by	by	ADP
cana-1581	75	42	the	the	DET
cana-1581	75	43	expression	expression	NOUN
cana-1581	75	44	as	as	ADP
cana-1581	75	45	𝐹𝐻(𝑡	𝐹𝐻(𝑡	NOUN
cana-1581	75	46	)	)	PUNCT
cana-1581	76	1	=	=	SYM
cana-1581	76	2	4𝜋	4𝜋	PROPN
cana-1581	76	3	3	3	NUM
cana-1581	76	4	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	76	5	�	�	PROPN
cana-1581	76	6	̇	̇	PROPN
cana-1581	76	7	�	�	PROPN
cana-1581	76	8	∞(𝑡	∞(𝑡	NUM
cana-1581	76	9	)	)	PUNCT
cana-1581	76	10	−	−	PROPN
cana-1581	76	11	6𝜋𝑈𝑠(𝑡	6𝜋𝑈𝑠(𝑡	NOUN
cana-1581	76	12	)	)	PUNCT
cana-1581	77	1	−	−	PROPN
cana-1581	77	2	2𝜋	2𝜋	NOUN
cana-1581	77	3	3	3	NUM
cana-1581	77	4	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	77	5	�	�	PROPN
cana-1581	77	6	̇	̇	NOUN
cana-1581	77	7	�	�	NOUN
cana-1581	77	8	𝑠(𝑡	𝑠(𝑡	PROPN
cana-1581	77	9	)	)	PUNCT
cana-1581	78	1	+	+	CCONJ
cana-1581	78	2	3	3	NUM
cana-1581	78	3	8	8	NUM
cana-1581	78	4	(	(	PUNCT
cana-1581	78	5	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	NOUN
cana-1581	78	6	𝜋	𝜋	NOUN
cana-1581	78	7	)	)	PUNCT
cana-1581	78	8	1	1	NUM
cana-1581	78	9	2⁄	2⁄	NUM
cana-1581	78	10	{	{	PUNCT
cana-1581	78	11	∫	∫	PROPN
cana-1581	78	12	[	[	PUNCT
cana-1581	78	13	2	2	NUM
cana-1581	78	14	3	3	NUM
cana-1581	78	15	𝐹𝑠	𝐹𝑠	PROPN
cana-1581	78	16	𝐻||(𝑡	𝐻||(𝑡	NOUN
cana-1581	78	17	)	)	PUNCT
cana-1581	78	18	−	−	NOUN
cana-1581	78	19	{	{	PUNCT
cana-1581	78	20	1	1	NUM
cana-1581	78	21	|𝐴|2	|𝐴|2	NOUN
cana-1581	78	22	(	(	PUNCT
cana-1581	78	23	𝜋	𝜋	NOUN
cana-1581	78	24	1	1	NUM
cana-1581	78	25	2⁄	2⁄	NUM
cana-1581	78	26	2|𝐴|	2|𝐴|	NUM
cana-1581	78	27	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	78	28	)	)	PUNCT
cana-1581	78	29	−	−	PROPN
cana-1581	78	30	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	78	31	)	)	PUNCT
cana-1581	78	32	)	)	PUNCT
cana-1581	78	33	}	}	PUNCT
cana-1581	79	1	𝐹𝑠	𝐹𝑠	PROPN
cana-1581	79	2	𝐻||(𝑠	𝐻||(𝑠	PROPN
cana-1581	79	3	)	)	PUNCT
cana-1581	79	4	𝑡	𝑡	PROPN
cana-1581	79	5	−∞	−∞	PUNCT
cana-1581	79	6	+	+	NOUN
cana-1581	79	7	2	2	NUM
cana-1581	79	8	3	3	NUM
cana-1581	79	9	𝐹𝑠	𝐹𝑠	PROPN
cana-1581	79	10	𝐻⊥(𝑡	𝐻⊥(𝑡	NOUN
cana-1581	79	11	)	)	PUNCT
cana-1581	79	12	−	−	NOUN
cana-1581	79	13	{	{	PUNCT
cana-1581	79	14	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	79	15	)	)	PUNCT
cana-1581	79	16	−	−	PROPN
cana-1581	79	17	1	1	NUM
cana-1581	79	18	2|𝐴|2	2|𝐴|2	NOUN
cana-1581	79	19	(	(	PUNCT
cana-1581	79	20	𝜋	𝜋	NOUN
cana-1581	79	21	1	1	NUM
cana-1581	79	22	2⁄	2⁄	NUM
cana-1581	79	23	2|𝐴|	2|𝐴|	NUM
cana-1581	79	24	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	79	25	)	)	PUNCT
cana-1581	79	26	−	−	PROPN
cana-1581	79	27	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	79	28	)	)	PUNCT
cana-1581	79	29	)	)	PUNCT
cana-1581	79	30	}	}	PUNCT
cana-1581	80	1	𝐹𝑠	𝐹𝑠	ADJ
cana-1581	80	2	𝐻⊥	𝐻⊥	NOUN
cana-1581	80	3	]	]	PUNCT
cana-1581	80	4	×	×	PROPN
cana-1581	80	5	2𝑑𝑠	2𝑑𝑠	NOUN
cana-1581	80	6	(	(	PUNCT
cana-1581	80	7	𝑡	𝑡	PROPN
cana-1581	80	8	−	−	PROPN
cana-1581	80	9	𝑠	𝑠	SYM
cana-1581	80	10	)	)	PUNCT
cana-1581	80	11	3	3	NUM
cana-1581	80	12	2⁄	2⁄	NUM
cana-1581	80	13	}	}	PUNCT
cana-1581	80	14	+	+	CCONJ
cana-1581	80	15	𝑜(𝑅𝑒	𝑜(𝑅𝑒	X
cana-1581	80	16	)	)	PUNCT
cana-1581	80	17	.	.	PUNCT
cana-1581	81	1	(	(	PUNCT
cana-1581	81	2	1	1	X
cana-1581	81	3	)	)	PUNCT
cana-1581	81	4	here	here	ADV
cana-1581	81	5	,	,	PUNCT
cana-1581	81	6	𝑈𝑠	𝑈𝑠	PROPN
cana-1581	81	7	=	=	SYM
cana-1581	81	8	𝑈𝑝	𝑈𝑝	PROPN
cana-1581	81	9	−	−	NOUN
cana-1581	81	10	𝑈∞is	𝑈∞is	NOUN
cana-1581	81	11	the	the	DET
cana-1581	81	12	slip	slip	NOUN
cana-1581	81	13	velocity	velocity	NOUN
cana-1581	81	14	of	of	ADP
cana-1581	81	15	the	the	DET
cana-1581	81	16	fluid	fluid	NOUN
cana-1581	81	17	.	.	PUNCT
cana-1581	82	1	𝑈𝑝	𝑈𝑝	NOUN
cana-1581	82	2	is	be	AUX
cana-1581	82	3	the	the	DET
cana-1581	82	4	velocity	velocity	NOUN
cana-1581	82	5	of	of	ADP
cana-1581	82	6	the	the	DET
cana-1581	82	7	particle	particle	NOUN
cana-1581	82	8	.	.	PUNCT
cana-1581	83	1	us	us	PROPN
cana-1581	83	2	has	have	AUX
cana-1581	83	3	been	be	AUX
cana-1581	83	4	nondimensionalized	nondimensionalize	VERB
cana-1581	83	5	by	by	ADP
cana-1581	83	6	uc	uc	PROPN
cana-1581	83	7	.	.	PUNCT
cana-1581	84	1	the	the	DET
cana-1581	84	2	acceleration	acceleration	NOUN
cana-1581	84	3	terms	term	NOUN
cana-1581	84	4	�	�	PROPN
cana-1581	84	5	̇	̇	PROPN
cana-1581	84	6	�	�	PROPN
cana-1581	84	7	𝑠	𝑠	PROPN
cana-1581	84	8	and	and	CCONJ
cana-1581	84	9	�	�	PROPN
cana-1581	84	10	̇	̇	PROPN
cana-1581	84	11	�	�	PROPN
cana-1581	84	12	∞are	∞are	NOUN
cana-1581	84	13	non	non	X
cana-1581	84	14	dimensionalized	dimensionalize	VERB
cana-1581	84	15	by	by	ADP
cana-1581	84	16	uc/c	uc/c	PROPN
cana-1581	84	17	,	,	PUNCT
cana-1581	84	18	where	where	SCONJ
cana-1581	84	19	communications	communication	NOUN
cana-1581	84	20	on	on	ADP
cana-1581	84	21	applied	apply	VERB
cana-1581	84	22	nonlinear	nonlinear	ADJ
cana-1581	84	23	analysis	analysis	NOUN
cana-1581	84	24	issn	issn	NOUN
cana-1581	84	25	:	:	PUNCT
cana-1581	84	26	1074	1074	NUM
cana-1581	84	27	-	-	PUNCT
cana-1581	84	28	133x	133x	NUM
cana-1581	84	29	vol	vol	NOUN
cana-1581	84	30	31	31	NUM
cana-1581	84	31	no	no	NOUN
cana-1581	84	32	.	.	PUNCT
cana-1581	85	1	8s	8s	PROPN
cana-1581	85	2	(	(	PUNCT
cana-1581	85	3	2024	2024	NUM
cana-1581	85	4	)	)	PUNCT
cana-1581	85	5	719	719	NUM
cana-1581	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	85	7	c	c	NOUN
cana-1581	85	8	is	be	AUX
cana-1581	85	9	the	the	DET
cana-1581	85	10	characteristic	characteristic	ADJ
cana-1581	85	11	timescale	timescale	NOUN
cana-1581	85	12	.	.	PUNCT
cana-1581	86	1	𝑈∞	𝑈∞	PROPN
cana-1581	86	2	is	be	AUX
cana-1581	86	3	the	the	DET
cana-1581	86	4	velocity	velocity	NOUN
cana-1581	86	5	of	of	ADP
cana-1581	86	6	the	the	DET
cana-1581	86	7	fluid	fluid	NOUN
cana-1581	86	8	as	as	ADP
cana-1581	86	9	|𝑟|	|𝑟|	PROPN
cana-1581	86	10	→	→	SYM
cana-1581	86	11	∞.	∞.	PROPN
cana-1581	86	12	re	re	NOUN
cana-1581	86	13	is	be	AUX
cana-1581	86	14	the	the	DET
cana-1581	86	15	reynolds	reynolds	PROPN
cana-1581	86	16	number	number	NOUN
cana-1581	86	17	,	,	PUNCT
cana-1581	86	18	defined	define	VERB
cana-1581	86	19	as	as	ADP
cana-1581	86	20	re	re	VERB
cana-1581	86	21	=	=	VERB
cana-1581	86	22	auc/	auc/	ADV
cana-1581	86	23	based	base	VERB
cana-1581	86	24	on	on	ADP
cana-1581	86	25	a	a	DET
cana-1581	86	26	characteristic	characteristic	ADJ
cana-1581	86	27	slip	slip	NOUN
cana-1581	86	28	velocity	velocity	NOUN
cana-1581	86	29	,	,	PUNCT
cana-1581	86	30	uc	uc	PROPN
cana-1581	86	31	,	,	PUNCT
cana-1581	86	32	a	a	DET
cana-1581	86	33	denotes	denote	NOUN
cana-1581	86	34	the	the	DET
cana-1581	86	35	characteristic	characteristic	ADJ
cana-1581	86	36	particle	particle	NOUN
cana-1581	86	37	dimension	dimension	NOUN
cana-1581	86	38	and	and	CCONJ
cana-1581	86	39			NOUN
cana-1581	86	40	is	be	AUX
cana-1581	86	41	the	the	DET
cana-1581	86	42	kinematic	kinematic	ADJ
cana-1581	86	43	viscosity	viscosity	NOUN
cana-1581	86	44	of	of	ADP
cana-1581	86	45	the	the	DET
cana-1581	86	46	fluid	fluid	NOUN
cana-1581	86	47	.	.	PUNCT
cana-1581	87	1	𝐹𝑠	𝐹𝑠	NOUN
cana-1581	87	2	𝐻||	𝐻||	NOUN
cana-1581	87	3	=	=	PUNCT
cana-1581	87	4	−6𝜋𝑈𝑠.	−6𝜋𝑈𝑠.	ADJ
cana-1581	87	5	𝑝𝑝	𝑝𝑝	VERB
cana-1581	87	6	and𝐹𝑠	and𝐹𝑠	ADJ
cana-1581	87	7	𝐻⊥	𝐻⊥	NOUN
cana-1581	87	8	=	=	PUNCT
cana-1581	87	9	−6𝜋𝑈𝑠.	−6𝜋𝑈𝑠.	ADJ
cana-1581	87	10	(	(	PUNCT
cana-1581	87	11	𝛿	𝛿	PRON
cana-1581	87	12	−	−	PROPN
cana-1581	87	13	𝑝𝑝	𝑝𝑝	NOUN
cana-1581	87	14	)	)	PUNCT
cana-1581	87	15	,	,	PUNCT
cana-1581	87	16	where	where	SCONJ
cana-1581	87	17	𝛿	𝛿	NOUN
cana-1581	87	18	is	be	AUX
cana-1581	87	19	the	the	DET
cana-1581	87	20	idem	idem	PROPN
cana-1581	87	21	tensor	tensor	NOUN
cana-1581	87	22	of	of	ADP
cana-1581	87	23	order	order	NOUN
cana-1581	87	24	2	2	NUM
cana-1581	87	25	and	and	CCONJ
cana-1581	87	26	unit	unit	NOUN
cana-1581	87	27	vector𝑝	vector𝑝	NOUN
cana-1581	87	28	=	=	PUNCT
cana-1581	87	29	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	NOUN
cana-1581	87	30	)	)	PUNCT
cana-1581	87	31	|𝑌𝑠(𝑡)−𝑌𝑠(𝑠)|	|𝑌𝑠(𝑡)−𝑌𝑠(𝑠)|	NOUN
cana-1581	87	32	,	,	PUNCT
cana-1581	87	33	here	here	ADV
cana-1581	87	34	𝑌𝑠(𝑡	𝑌𝑠(𝑡	PROPN
cana-1581	87	35	)	)	PUNCT
cana-1581	87	36	−	−	PROPN
cana-1581	87	37	𝑌𝑠(𝑠	𝑌𝑠(𝑠	NUM
cana-1581	87	38	)	)	PUNCT
cana-1581	87	39	is	be	AUX
cana-1581	87	40	the	the	DET
cana-1581	87	41	integrated	integrate	VERB
cana-1581	87	42	displacement	displacement	NOUN
cana-1581	87	43	of	of	ADP
cana-1581	87	44	the	the	DET
cana-1581	87	45	particle	particle	NOUN
cana-1581	87	46	relative	relative	ADJ
cana-1581	87	47	to	to	ADP
cana-1581	87	48	the	the	DET
cana-1581	87	49	fluid	fluid	NOUN
cana-1581	87	50	from	from	ADP
cana-1581	87	51	time	time	NOUN
cana-1581	87	52	s	s	NOUN
cana-1581	87	53	to	to	ADP
cana-1581	87	54	the	the	DET
cana-1581	87	55	current	current	ADJ
cana-1581	87	56	time	time	NOUN
cana-1581	87	57	t.	t.	PROPN
cana-1581	87	58	sl	sl	PROPN
cana-1581	87	59	is	be	AUX
cana-1581	87	60	the	the	DET
cana-1581	87	61	strouhal	strouhal	NOUN
cana-1581	87	62	number	number	NOUN
cana-1581	87	63	and	and	CCONJ
cana-1581	87	64	𝐴	𝐴	NOUN
cana-1581	87	65	=	=	PUNCT
cana-1581	88	1	𝑅𝑒	𝑅𝑒	VERB
cana-1581	88	2	2	2	NUM
cana-1581	88	3	(	(	PUNCT
cana-1581	88	4	𝑡−𝑠	𝑡−𝑠	NOUN
cana-1581	88	5	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	88	6	)	)	PUNCT
cana-1581	88	7	1	1	NUM
cana-1581	88	8	2⁄	2⁄	NUM
cana-1581	88	9	(	(	PUNCT
cana-1581	88	10	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	NOUN
cana-1581	88	11	)	)	PUNCT
cana-1581	88	12	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	88	13	)	)	PUNCT
cana-1581	88	14	.	.	PUNCT
cana-1581	89	1	fh	fh	PROPN
cana-1581	89	2	is	be	AUX
cana-1581	89	3	scaled	scale	VERB
cana-1581	89	4	by	by	ADP
cana-1581	89	5	auc	auc	PROPN
cana-1581	89	6	.	.	PUNCT
cana-1581	90	1	we	we	PRON
cana-1581	90	2	use	use	VERB
cana-1581	90	3	equation	equation	NOUN
cana-1581	90	4	(	(	PUNCT
cana-1581	90	5	1	1	NUM
cana-1581	90	6	)	)	PUNCT
cana-1581	90	7	to	to	PART
cana-1581	90	8	obtain	obtain	VERB
cana-1581	90	9	the	the	DET
cana-1581	90	10	equation	equation	NOUN
cana-1581	90	11	governing	govern	VERB
cana-1581	90	12	the	the	DET
cana-1581	90	13	unidirectional	unidirectional	ADJ
cana-1581	90	14	motion	motion	NOUN
cana-1581	90	15	of	of	ADP
cana-1581	90	16	a	a	DET
cana-1581	90	17	sphere	sphere	NOUN
cana-1581	90	18	in	in	ADP
cana-1581	90	19	a	a	DET
cana-1581	90	20	quiescent	quiescent	ADJ
cana-1581	90	21	fluid	fluid	NOUN
cana-1581	90	22	,	,	PUNCT
cana-1581	90	23	starting	start	VERB
cana-1581	90	24	with	with	ADP
cana-1581	90	25	zero	zero	NUM
cana-1581	90	26	velocity	velocity	NOUN
cana-1581	90	27	at	at	ADP
cana-1581	90	28	time	time	NOUN
cana-1581	90	29	t	t	PROPN
cana-1581	90	30	=	=	SYM
cana-1581	90	31	0	0	NUM
cana-1581	90	32	,	,	PUNCT
cana-1581	90	33	with	with	ADP
cana-1581	90	34	us	we	PRON
cana-1581	90	35	=	=	PUNCT
cana-1581	90	36	up	up	ADV
cana-1581	90	37	where	where	SCONJ
cana-1581	90	38	up	up	ADV
cana-1581	90	39	is	be	AUX
cana-1581	90	40	the	the	DET
cana-1581	90	41	velocity	velocity	NOUN
cana-1581	90	42	of	of	ADP
cana-1581	90	43	the	the	DET
cana-1581	90	44	particle	particle	NOUN
cana-1581	90	45	,	,	PUNCT
cana-1581	90	46	scaled	scale	VERB
cana-1581	90	47	with	with	ADP
cana-1581	90	48	respect	respect	NOUN
cana-1581	90	49	to	to	ADP
cana-1581	90	50	the	the	DET
cana-1581	90	51	size	size	NOUN
cana-1581	90	52	of	of	ADP
cana-1581	90	53	the	the	DET
cana-1581	90	54	particle	particle	NOUN
cana-1581	90	55	and	and	CCONJ
cana-1581	90	56	the	the	DET
cana-1581	90	57	frequency	frequency	NOUN
cana-1581	90	58	of	of	ADP
cana-1581	90	59	the	the	DET
cana-1581	90	60	external	external	ADJ
cana-1581	90	61	periodic	periodic	ADJ
cana-1581	90	62	force	force	NOUN
cana-1581	90	63	,	,	PUNCT
cana-1581	90	64			X
cana-1581	90	65	,	,	PUNCT
cana-1581	90	66	i.e.	i.e.	X
cana-1581	90	67	,	,	PUNCT
cana-1581	90	68	we	we	PRON
cana-1581	90	69	take	take	VERB
cana-1581	90	70	uc	uc	ADV
cana-1581	90	71	=	=	NOUN
cana-1581	90	72	a	a	ADV
cana-1581	90	73	and	and	CCONJ
cana-1581	90	74	𝑈∞	𝑈∞	VERB
cana-1581	90	75	=	=	PUNCT
cana-1581	91	1	0	0	X
cana-1581	91	2	.	.	PUNCT
cana-1581	92	1	under	under	ADP
cana-1581	92	2	these	these	DET
cana-1581	92	3	conditions	condition	NOUN
cana-1581	92	4	,	,	PUNCT
cana-1581	92	5	equation	equation	NOUN
cana-1581	92	6	(	(	PUNCT
cana-1581	92	7	3.2.1	3.2.1	NUM
cana-1581	92	8	)	)	PUNCT
cana-1581	92	9	reduces	reduce	VERB
cana-1581	92	10	to	to	ADP
cana-1581	92	11	𝐹𝐻(𝑡	𝐹𝐻(𝑡	NOUN
cana-1581	92	12	)	)	PUNCT
cana-1581	93	1	=	=	SYM
cana-1581	93	2	−6𝜋𝑈𝑝(𝑡	−6𝜋𝑈𝑝(𝑡	PROPN
cana-1581	93	3	)	)	PUNCT
cana-1581	94	1	−	−	PROPN
cana-1581	94	2	2𝜋	2𝜋	NOUN
cana-1581	94	3	3	3	NUM
cana-1581	94	4	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	94	5	�	�	PROPN
cana-1581	94	6	̇	̇	NOUN
cana-1581	94	7	�	�	NOUN
cana-1581	94	8	𝑝(𝑡	𝑝(𝑡	PROPN
cana-1581	94	9	)	)	PUNCT
cana-1581	94	10	+	+	CCONJ
cana-1581	94	11	3	3	NUM
cana-1581	94	12	8	8	NUM
cana-1581	94	13	(	(	PUNCT
cana-1581	94	14	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	NOUN
cana-1581	94	15	𝜋	𝜋	NOUN
cana-1581	94	16	)	)	PUNCT
cana-1581	94	17	1	1	NUM
cana-1581	94	18	2⁄	2⁄	NUM
cana-1581	94	19	∫	∫	NOUN
cana-1581	94	20	[	[	PUNCT
cana-1581	94	21	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	PROPN
cana-1581	94	22	(	(	PUNCT
cana-1581	94	23	𝑡	𝑡	PROPN
cana-1581	94	24	−	−	PROPN
cana-1581	94	25	𝑠	𝑠	SYM
cana-1581	94	26	)	)	PUNCT
cana-1581	94	27	3	3	NUM
cana-1581	94	28	2⁄	2⁄	NUM
cana-1581	94	29	𝑡	𝑡	NOUN
cana-1581	94	30	0	0	NUM
cana-1581	94	31	−	−	NOUN
cana-1581	94	32	{	{	PUNCT
cana-1581	94	33	1	1	NUM
cana-1581	94	34	|𝐴|2	|𝐴|2	NOUN
cana-1581	94	35	(	(	PUNCT
cana-1581	94	36	𝜋	𝜋	NOUN
cana-1581	94	37	1	1	NUM
cana-1581	94	38	2⁄	2⁄	NUM
cana-1581	94	39	2|𝐴|	2|𝐴|	NUM
cana-1581	94	40	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	94	41	)	)	PUNCT
cana-1581	94	42	−	−	PROPN
cana-1581	94	43	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	94	44	)	)	PUNCT
cana-1581	94	45	)	)	PUNCT
cana-1581	94	46	}	}	PUNCT
cana-1581	94	47	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	NOUN
cana-1581	94	48	(	(	PUNCT
cana-1581	94	49	𝑡	𝑡	PROPN
cana-1581	94	50	−	−	PROPN
cana-1581	94	51	𝑠	𝑠	SYM
cana-1581	94	52	)	)	PUNCT
cana-1581	94	53	3	3	NUM
cana-1581	94	54	2⁄	2⁄	NUM
cana-1581	94	55	]	]	PUNCT
cana-1581	94	56	(	(	PUNCT
cana-1581	94	57	2	2	X
cana-1581	94	58	)	)	PUNCT
cana-1581	94	59	we	we	PRON
cana-1581	94	60	note	note	VERB
cana-1581	94	61	that	that	SCONJ
cana-1581	94	62	the	the	DET
cana-1581	94	63	integral	integral	ADJ
cana-1581	94	64	in	in	ADP
cana-1581	94	65	equation	equation	NOUN
cana-1581	94	66	(	(	PUNCT
cana-1581	94	67	2	2	X
cana-1581	94	68	)	)	PUNCT
cana-1581	94	69	contains	contain	VERB
cana-1581	94	70	a	a	DET
cana-1581	94	71	singularity	singularity	NOUN
cana-1581	94	72	at	at	ADP
cana-1581	94	73	s	s	NOUN
cana-1581	94	74	=	=	NOUN
cana-1581	94	75	t.	t.	NOUN
cana-1581	94	76	in	in	ADP
cana-1581	94	77	order	order	NOUN
cana-1581	94	78	to	to	PART
cana-1581	94	79	take	take	VERB
cana-1581	94	80	account	account	NOUN
cana-1581	94	81	of	of	ADP
cana-1581	94	82	this	this	DET
cana-1581	94	83	singularity	singularity	NOUN
cana-1581	94	84	,	,	PUNCT
cana-1581	94	85	the	the	DET
cana-1581	94	86	integral	integral	ADJ
cana-1581	94	87	was	be	AUX
cana-1581	94	88	split	split	VERB
cana-1581	94	89	into	into	ADP
cana-1581	94	90	the	the	DET
cana-1581	94	91	intervals	interval	NOUN
cana-1581	94	92	[	[	X
cana-1581	94	93	0	0	NUM
cana-1581	94	94	,	,	PUNCT
cana-1581	94	95	𝑡	𝑡	VERB
cana-1581	94	96	−	−	PROPN
cana-1581	94	97	휀	휀	X
cana-1581	94	98	]	]	X
cana-1581	94	99	and	and	CCONJ
cana-1581	94	100	[	[	X
cana-1581	94	101	𝑡	𝑡	X
cana-1581	94	102	−	−	PROPN
cana-1581	94	103	휀	휀	NOUN
cana-1581	94	104	,	,	PUNCT
cana-1581	94	105	𝑡	𝑡	X
cana-1581	94	106	]	]	X
cana-1581	94	107	for	for	ADP
cana-1581	94	108	a	a	DET
cana-1581	94	109	small	small	ADJ
cana-1581	94	110	positive휀	positive휀	NOUN
cana-1581	94	111	.	.	PUNCT
cana-1581	95	1	thus	thus	ADV
cana-1581	95	2	we	we	PRON
cana-1581	95	3	get	get	VERB
cana-1581	95	4	two	two	NUM
cana-1581	95	5	expressions	expression	NOUN
cana-1581	95	6	for	for	ADP
cana-1581	95	7	the	the	DET
cana-1581	95	8	integral	integral	NOUN
cana-1581	95	9	.	.	PUNCT
cana-1581	96	1	where	where	SCONJ
cana-1581	96	2	,	,	PUNCT
cana-1581	96	3	𝐴	𝐴	PROPN
cana-1581	96	4	=	=	PUNCT
cana-1581	97	1	𝑅𝑒	𝑅𝑒	VERB
cana-1581	97	2	2	2	NUM
cana-1581	97	3	(	(	PUNCT
cana-1581	97	4	𝑡−𝑠	𝑡−𝑠	NOUN
cana-1581	97	5	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	97	6	)	)	PUNCT
cana-1581	97	7	1	1	NUM
cana-1581	97	8	2⁄	2⁄	NUM
cana-1581	97	9	(	(	PUNCT
cana-1581	97	10	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	𝑌𝑠(𝑡)−𝑌𝑠(𝑠	NOUN
cana-1581	97	11	)	)	PUNCT
cana-1581	97	12	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	97	13	)	)	PUNCT
cana-1581	97	14	that	that	PRON
cana-1581	97	15	is	be	AUX
cana-1581	97	16	we	we	PRON
cana-1581	97	17	get	get	VERB
cana-1581	97	18	,	,	PUNCT
cana-1581	97	19	𝐹𝐻(𝑡	𝐹𝐻(𝑡	NOUN
cana-1581	97	20	)	)	PUNCT
cana-1581	97	21	=	=	SYM
cana-1581	97	22	−6𝜋𝑈𝑝(𝑡	−6𝜋𝑈𝑝(𝑡	PROPN
cana-1581	97	23	)	)	PUNCT
cana-1581	97	24	−	−	PROPN
cana-1581	97	25	2𝜋	2𝜋	NOUN
cana-1581	97	26	3	3	NUM
cana-1581	97	27	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	97	28	�	�	PROPN
cana-1581	97	29	̇	̇	NOUN
cana-1581	97	30	�	�	NOUN
cana-1581	97	31	𝑝(𝑡	𝑝(𝑡	PROPN
cana-1581	97	32	)	)	PUNCT
cana-1581	97	33	+	+	CCONJ
cana-1581	97	34	3	3	NUM
cana-1581	97	35	8	8	NUM
cana-1581	97	36	(	(	PUNCT
cana-1581	97	37	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	NOUN
cana-1581	97	38	𝜋	𝜋	NOUN
cana-1581	97	39	)	)	PUNCT
cana-1581	97	40	1	1	NUM
cana-1581	97	41	2⁄	2⁄	NUM
cana-1581	97	42	(	(	PUNCT
cana-1581	97	43	𝑃	𝑃	NOUN
cana-1581	97	44	+	+	NOUN
cana-1581	97	45	𝑄	𝑄	PROPN
cana-1581	97	46	)	)	PUNCT
cana-1581	97	47	(	(	PUNCT
cana-1581	97	48	3	3	X
cana-1581	97	49	)	)	PUNCT
cana-1581	97	50	where	where	SCONJ
cana-1581	97	51	𝑃	𝑃	NOUN
cana-1581	97	52	=	=	SYM
cana-1581	97	53	∫	∫	PROPN
cana-1581	97	54	[	[	PUNCT
cana-1581	97	55	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	PROPN
cana-1581	97	56	(	(	PUNCT
cana-1581	97	57	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	97	58	)	)	PUNCT
cana-1581	97	59	3	3	NUM
cana-1581	97	60	2⁄	2⁄	NUM
cana-1581	97	61	−	−	NOUN
cana-1581	97	62	{	{	PUNCT
cana-1581	97	63	1	1	NUM
cana-1581	97	64	|𝐴|2	|𝐴|2	NOUN
cana-1581	97	65	(	(	PUNCT
cana-1581	97	66	𝜋	𝜋	NOUN
cana-1581	97	67	1	1	NUM
cana-1581	97	68	2⁄	2⁄	NUM
cana-1581	97	69	2|𝐴|	2|𝐴|	NUM
cana-1581	97	70	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	97	71	)	)	PUNCT
cana-1581	97	72	−	−	PROPN
cana-1581	97	73	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	97	74	)	)	PUNCT
cana-1581	97	75	)	)	PUNCT
cana-1581	97	76	}	}	PUNCT
cana-1581	97	77	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	NOUN
cana-1581	97	78	(	(	PUNCT
cana-1581	97	79	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	97	80	)	)	PUNCT
cana-1581	97	81	3	3	NUM
cana-1581	97	82	2⁄	2⁄	NUM
cana-1581	97	83	]	]	PUNCT
cana-1581	97	84	𝑡−𝜀	𝑡−𝜀	NUM
cana-1581	97	85	0	0	NUM
cana-1581	97	86	(	(	PUNCT
cana-1581	97	87	3a	3a	NUM
cana-1581	97	88	)	)	PUNCT
cana-1581	97	89	and	and	CCONJ
cana-1581	97	90	𝑄	𝑄	PROPN
cana-1581	97	91	=	=	SYM
cana-1581	97	92	∫	∫	PROPN
cana-1581	97	93	[	[	PUNCT
cana-1581	97	94	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	−8𝜋𝑈𝑝(𝑡)𝑑𝑠	PROPN
cana-1581	97	95	(	(	PUNCT
cana-1581	97	96	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	97	97	)	)	PUNCT
cana-1581	97	98	3	3	NUM
cana-1581	97	99	2⁄	2⁄	NUM
cana-1581	97	100	−	−	NOUN
cana-1581	97	101	{	{	PUNCT
cana-1581	97	102	1	1	NUM
cana-1581	97	103	|𝐴|2	|𝐴|2	NOUN
cana-1581	97	104	(	(	PUNCT
cana-1581	97	105	𝜋	𝜋	NOUN
cana-1581	97	106	1	1	NUM
cana-1581	97	107	2⁄	2⁄	NUM
cana-1581	97	108	2|𝐴|	2|𝐴|	NUM
cana-1581	97	109	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	97	110	)	)	PUNCT
cana-1581	97	111	−	−	PROPN
cana-1581	97	112	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	97	113	)	)	PUNCT
cana-1581	97	114	)	)	PUNCT
cana-1581	97	115	}	}	PUNCT
cana-1581	97	116	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	−12𝜋𝑈𝑝(𝑠)𝑑𝑠	NOUN
cana-1581	97	117	(	(	PUNCT
cana-1581	97	118	𝑡−𝑠	𝑡−𝑠	PROPN
cana-1581	97	119	)	)	PUNCT
cana-1581	97	120	3	3	NUM
cana-1581	97	121	2⁄	2⁄	NUM
cana-1581	97	122	]	]	PUNCT
cana-1581	97	123	𝑡	𝑡	PROPN
cana-1581	97	124	𝑡−𝜀	𝑡−𝜀	PROPN
cana-1581	97	125	(	(	PUNCT
cana-1581	97	126	3b	3b	NUM
cana-1581	97	127	)	)	PUNCT
cana-1581	97	128	denoting	denote	VERB
cana-1581	97	129	the	the	DET
cana-1581	97	130	components	component	NOUN
cana-1581	97	131	of	of	ADP
cana-1581	97	132	fh(t),up(t	fh(t),up(t	NOUN
cana-1581	97	133	)	)	PUNCT
cana-1581	97	134	,	,	PUNCT
cana-1581	97	135	�	�	PROPN
cana-1581	97	136	̇	̇	PROPN
cana-1581	97	137	�	�	PROPN
cana-1581	97	138	𝑝	𝑝	PROPN
cana-1581	97	139	,	,	PUNCT
cana-1581	97	140	a	a	PRON
cana-1581	97	141	,	,	PUNCT
cana-1581	97	142	p	p	NOUN
cana-1581	97	143	and	and	CCONJ
cana-1581	97	144	q	q	NOUN
cana-1581	97	145	along	along	ADP
cana-1581	97	146	the	the	DET
cana-1581	97	147	direction	direction	NOUN
cana-1581	97	148	of	of	ADP
cana-1581	97	149	the	the	DET
cana-1581	97	150	force	force	NOUN
cana-1581	97	151	field	field	NOUN
cana-1581	97	152	by	by	ADP
cana-1581	97	153	fh(t	fh(t	NOUN
cana-1581	97	154	)	)	PUNCT
cana-1581	97	155	,	,	PUNCT
cana-1581	97	156	up(t	up(t	ADP
cana-1581	97	157	)	)	PUNCT
cana-1581	97	158	,	,	PUNCT
cana-1581	97	159	�	�	PROPN
cana-1581	97	160	̇	̇	PROPN
cana-1581	97	161	�	�	PROPN
cana-1581	97	162	𝑝	𝑝	PROPN
cana-1581	97	163	,	,	PUNCT
cana-1581	97	164	a	a	PRON
cana-1581	97	165	,	,	PUNCT
cana-1581	97	166	p	p	NOUN
cana-1581	97	167	and	and	CCONJ
cana-1581	97	168	q	q	PROPN
cana-1581	97	169	and	and	CCONJ
cana-1581	97	170	then	then	ADV
cana-1581	97	171	transforming	transform	VERB
cana-1581	97	172	the	the	DET
cana-1581	97	173	integral	integral	ADJ
cana-1581	97	174	with	with	ADP
cana-1581	97	175	respect	respect	NOUN
cana-1581	97	176	to	to	ADP
cana-1581	97	177	a	a	PRON
cana-1581	97	178	,	,	PUNCT
cana-1581	97	179	we	we	PRON
cana-1581	97	180	get	get	VERB
cana-1581	97	181	communications	communication	NOUN
cana-1581	97	182	on	on	ADP
cana-1581	97	183	applied	apply	VERB
cana-1581	97	184	nonlinear	nonlinear	ADJ
cana-1581	97	185	analysis	analysis	NOUN
cana-1581	97	186	issn	issn	NOUN
cana-1581	97	187	:	:	PUNCT
cana-1581	97	188	1074	1074	NUM
cana-1581	97	189	-	-	PUNCT
cana-1581	97	190	133x	133x	NUM
cana-1581	97	191	vol	vol	NOUN
cana-1581	97	192	31	31	NUM
cana-1581	97	193	no	no	NOUN
cana-1581	97	194	.	.	PUNCT
cana-1581	98	1	8s	8s	PROPN
cana-1581	98	2	(	(	PUNCT
cana-1581	98	3	2024	2024	NUM
cana-1581	98	4	)	)	PUNCT
cana-1581	98	5	720	720	NUM
cana-1581	98	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	98	7	𝑄	𝑄	PROPN
cana-1581	98	8	=	=	SYM
cana-1581	98	9	∫	∫	PROPN
cana-1581	98	10	8𝜋𝑈𝑝	8𝜋𝑈𝑝	NOUN
cana-1581	98	11	2(𝑡	2(𝑡	NUM
cana-1581	98	12	)	)	PUNCT
cana-1581	99	1	𝑅𝑒	𝑅𝑒	PROPN
cana-1581	99	2	𝑑	𝑑	PROPN
cana-1581	99	3	𝐴	𝐴	PROPN
cana-1581	99	4	(	(	PUNCT
cana-1581	99	5	𝑅𝑒	𝑅𝑒	PROPN
cana-1581	99	6	𝑆	𝑆	PROPN
cana-1581	99	7	𝑙	𝑙	NUM
cana-1581	99	8	)	)	PUNCT
cana-1581	99	9	1	1	NUM
cana-1581	99	10	2⁄	2⁄	NUM
cana-1581	99	11	𝐴2	𝐴2	NOUN
cana-1581	99	12	𝑐√𝜀	𝑐√𝜀	NOUN
cana-1581	99	13	0	0	NUM
cana-1581	100	1	−	−	NUM
cana-1581	100	2	∫	∫	NOUN
cana-1581	100	3	1	1	NUM
cana-1581	100	4	|𝐴2|	|𝐴2|	AUX
cana-1581	100	5	𝑐√𝜀	𝑐√𝜀	VERB
cana-1581	100	6	0	0	NUM
cana-1581	100	7	(	(	PUNCT
cana-1581	100	8	√𝜋	√𝜋	X
cana-1581	100	9	2|𝐴|	2|𝐴|	NUM
cana-1581	100	10	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	100	11	)	)	PUNCT
cana-1581	100	12	−	−	PROPN
cana-1581	100	13	𝑒𝑥𝑝(−|𝐴2|	𝑒𝑥𝑝(−|𝐴2|	PROPN
cana-1581	100	14	)	)	PUNCT
cana-1581	100	15	)	)	PUNCT
cana-1581	100	16	12𝜋𝑈𝑝	12𝜋𝑈𝑝	NUM
cana-1581	100	17	2(𝑡	2(𝑡	NUM
cana-1581	100	18	)	)	PUNCT
cana-1581	101	1	𝑅𝑒	𝑅𝑒	PROPN
cana-1581	101	2	𝑑	𝑑	PROPN
cana-1581	101	3	𝐴	𝐴	PROPN
cana-1581	101	4	(	(	PUNCT
cana-1581	101	5	𝑅𝑒	𝑅𝑒	PROPN
cana-1581	101	6	𝑆	𝑆	PROPN
cana-1581	101	7	𝑙	𝑙	NUM
cana-1581	101	8	)	)	PUNCT
cana-1581	101	9	1	1	NUM
cana-1581	101	10	2⁄	2⁄	NUM
cana-1581	101	11	𝐴2	𝐴2	NOUN
cana-1581	101	12	(	(	PUNCT
cana-1581	101	13	3c	3c	NUM
cana-1581	101	14	)	)	PUNCT
cana-1581	101	15	where	where	SCONJ
cana-1581	101	16	𝑐	𝑐	NOUN
cana-1581	101	17	=	=	SYM
cana-1581	101	18	𝑅𝑒𝑈𝑝(𝑡	𝑅𝑒𝑈𝑝(𝑡	PROPN
cana-1581	101	19	)	)	PUNCT
cana-1581	101	20	2√𝑅𝑒𝑆𝑙	2√𝑅𝑒𝑆𝑙	NOUN
cana-1581	101	21	.	.	PUNCT
cana-1581	102	1	note	note	VERB
cana-1581	102	2	that	that	SCONJ
cana-1581	102	3	,	,	PUNCT
cana-1581	102	4	q	q	PUNCT
cana-1581	102	5	vanishes	vanish	VERB
cana-1581	102	6	as	as	ADP
cana-1581	102	7	휀	휀	DET
cana-1581	102	8	tends	tend	NOUN
cana-1581	102	9	to	to	ADP
cana-1581	102	10	zero	zero	NUM
cana-1581	102	11	;	;	PUNCT
cana-1581	102	12	i.e.	i.e.	X
cana-1581	102	13	,	,	PUNCT
cana-1581	102	14	as	as	ADP
cana-1581	102	15	s→t	s→t	NUM
cana-1581	102	16	,	,	PUNCT
cana-1581	102	17	1	1	NUM
cana-1581	102	18	|𝐴2|	|𝐴2|	PROPN
cana-1581	102	19	(	(	PUNCT
cana-1581	102	20	√𝜋	√𝜋	NOUN
cana-1581	102	21	2|𝐴|	2|𝐴|	NUM
cana-1581	102	22	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	102	23	)	)	PUNCT
cana-1581	103	1	−	−	PROPN
cana-1581	104	1	𝑒𝑥𝑝(−|𝐴2|	𝑒𝑥𝑝(−|𝐴2|	PROPN
cana-1581	104	2	)	)	PUNCT
cana-1581	104	3	)	)	PUNCT
cana-1581	105	1	→	→	SYM
cana-1581	105	2	2	2	NUM
cana-1581	105	3	3	3	NUM
cana-1581	105	4	.	.	PUNCT
cana-1581	106	1	hence	hence	ADV
cana-1581	106	2	the	the	DET
cana-1581	106	3	two	two	NUM
cana-1581	106	4	singular	singular	ADJ
cana-1581	106	5	terms	term	NOUN
cana-1581	106	6	cancel	cancel	VERB
cana-1581	106	7	each	each	DET
cana-1581	106	8	other	other	ADJ
cana-1581	106	9	as	as	ADP
cana-1581	106	10	s→t	s→t	NUM
cana-1581	106	11	,	,	PUNCT
cana-1581	106	12	and	and	CCONJ
cana-1581	106	13	thus	thus	ADV
cana-1581	106	14	we	we	PRON
cana-1581	106	15	obtain	obtain	VERB
cana-1581	106	16	an	an	DET
cana-1581	106	17	expression	expression	NOUN
cana-1581	106	18	for	for	ADP
cana-1581	106	19	the	the	DET
cana-1581	106	20	hydrodynamic	hydrodynamic	ADJ
cana-1581	106	21	force	force	NOUN
cana-1581	106	22	on	on	ADP
cana-1581	106	23	a	a	DET
cana-1581	106	24	couple	couple	NOUN
cana-1581	106	25	stressed	stress	VERB
cana-1581	106	26	sphere	sphere	ADV
cana-1581	106	27	in	in	ADP
cana-1581	106	28	a	a	DET
cana-1581	106	29	quiescent	quiescent	ADJ
cana-1581	106	30	fluid	fluid	NOUN
cana-1581	106	31	as	as	ADP
cana-1581	106	32	:	:	PUNCT
cana-1581	106	33	𝐹𝐻(𝑡	𝐹𝐻(𝑡	NOUN
cana-1581	106	34	)	)	PUNCT
cana-1581	107	1	=	=	SYM
cana-1581	107	2	−6𝜋𝑈𝑝(𝑡)(2	−6𝜋𝑈𝑝(𝑡)(2	NOUN
cana-1581	107	3	+	+	CCONJ
cana-1581	107	4	𝛼	𝛼	X
cana-1581	107	5	)	)	PUNCT
cana-1581	107	6	−	−	PROPN
cana-1581	107	7	2𝜋	2𝜋	NOUN
cana-1581	107	8	3	3	NUM
cana-1581	107	9	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	PROPN
cana-1581	107	10	�	�	PROPN
cana-1581	107	11	̇	̇	NOUN
cana-1581	107	12	�	�	NOUN
cana-1581	107	13	𝑝(𝑡	𝑝(𝑡	PROPN
cana-1581	107	14	)	)	PUNCT
cana-1581	107	15	+	+	CCONJ
cana-1581	107	16	3	3	NUM
cana-1581	107	17	8	8	NUM
cana-1581	107	18	(	(	PUNCT
cana-1581	107	19	𝑅𝑒𝑆𝑙	𝑅𝑒𝑆𝑙	NOUN
cana-1581	107	20	𝜋	𝜋	NOUN
cana-1581	107	21	)	)	PUNCT
cana-1581	107	22	1	1	NUM
cana-1581	107	23	2⁄	2⁄	NUM
cana-1581	107	24	{	{	PUNCT
cana-1581	107	25	∫	∫	PROPN
cana-1581	108	1	[	[	X
cana-1581	108	2	{	{	PUNCT
cana-1581	108	3	1	1	NUM
cana-1581	108	4	|𝐴|2	|𝐴|2	NOUN
cana-1581	108	5	(	(	PUNCT
cana-1581	108	6	𝜋	𝜋	NOUN
cana-1581	108	7	1	1	NUM
cana-1581	108	8	2⁄	2⁄	NUM
cana-1581	108	9	2|𝐴|	2|𝐴|	NUM
cana-1581	108	10	𝑒𝑟𝑓(|𝐴|	𝑒𝑟𝑓(|𝐴|	NUM
cana-1581	108	11	)	)	PUNCT
cana-1581	108	12	−	−	PROPN
cana-1581	108	13	𝑒𝑥𝑝(−|𝐴|2	𝑒𝑥𝑝(−|𝐴|2	PROPN
cana-1581	108	14	)	)	PUNCT
cana-1581	108	15	)	)	PUNCT
cana-1581	108	16	}	}	PUNCT
cana-1581	108	17	12𝜋𝑈𝑝(𝑠)𝑑𝑠	12𝜋𝑈𝑝(𝑠)𝑑𝑠	NUM
cana-1581	108	18	(	(	PUNCT
cana-1581	108	19	𝑡	𝑡	PROPN
cana-1581	108	20	−	−	PROPN
cana-1581	108	21	𝑠	𝑠	SYM
cana-1581	108	22	)	)	PUNCT
cana-1581	108	23	3	3	NUM
cana-1581	108	24	2⁄	2⁄	NUM
cana-1581	108	25	]	]	PUNCT
cana-1581	108	26	𝑡−𝜀	𝑡−𝜀	NOUN
cana-1581	108	27	0	0	NUM
cana-1581	108	28	+16𝜋𝑈𝑝(𝑡	+16𝜋𝑈𝑝(𝑡	NOUN
cana-1581	108	29	)	)	PUNCT
cana-1581	108	30	[	[	PUNCT
cana-1581	108	31	1	1	NUM
cana-1581	108	32	√𝑡	√𝑡	ADP
cana-1581	108	33	−	−	NUM
cana-1581	108	34	1	1	NUM
cana-1581	108	35	√𝜀	√𝜀	NOUN
cana-1581	108	36	]	]	PUNCT
cana-1581	108	37	}	}	PUNCT
cana-1581	108	38	(	(	PUNCT
cana-1581	108	39	4	4	X
cana-1581	108	40	)	)	PUNCT
cana-1581	108	41	here	here	ADV
cana-1581	108	42			PRON
cana-1581	108	43	is	be	AUX
cana-1581	108	44	the	the	DET
cana-1581	108	45	couple	couple	NOUN
cana-1581	108	46	stress	stress	NOUN
cana-1581	108	47	parameter	parameter	NOUN
cana-1581	108	48	,	,	PUNCT
cana-1581	108	49	equation	equation	NOUN
cana-1581	108	50	included	include	VERB
cana-1581	108	51	from	from	ADP
cana-1581	108	52	the	the	DET
cana-1581	108	53	works	work	NOUN
cana-1581	108	54	of	of	ADP
cana-1581	108	55	stokes	stoke	NOUN
cana-1581	109	1	[	[	X
cana-1581	109	2	1	1	NUM
cana-1581	109	3	]	]	PUNCT
cana-1581	109	4	.	.	PUNCT
cana-1581	110	1	method	method	PROPN
cana-1581	110	2	used	use	VERB
cana-1581	110	3	to	to	PART
cana-1581	110	4	validate	validate	VERB
cana-1581	110	5	the	the	DET
cana-1581	110	6	expression	expression	NOUN
cana-1581	110	7	:	:	PUNCT
cana-1581	110	8	the	the	DET
cana-1581	110	9	program	program	NOUN
cana-1581	110	10	to	to	PART
cana-1581	110	11	solve	solve	VERB
cana-1581	110	12	the	the	DET
cana-1581	110	13	integral	integral	ADJ
cana-1581	110	14	were	be	AUX
cana-1581	110	15	written	write	VERB
cana-1581	110	16	using	use	VERB
cana-1581	110	17	gnu	gnu	NOUN
cana-1581	110	18	octave	octave	NOUN
cana-1581	110	19	and	and	CCONJ
cana-1581	110	20	the	the	DET
cana-1581	110	21	results	result	NOUN
cana-1581	110	22	of	of	ADP
cana-1581	110	23	lovalenti	lovalenti	ADJ
cana-1581	110	24	and	and	CCONJ
cana-1581	110	25	brady	brady	PROPN
cana-1581	111	1	[	[	X
cana-1581	111	2	1	1	NUM
cana-1581	111	3	]	]	PUNCT
cana-1581	111	4	and	and	CCONJ
cana-1581	111	5	stokes	stoke	NOUN
cana-1581	111	6	’	'	PUNCT
cana-1581	112	1	[	[	X
cana-1581	112	2	2	2	NUM
cana-1581	112	3	]	]	PUNCT
cana-1581	112	4	were	be	AUX
cana-1581	112	5	reproduced	reproduce	VERB
cana-1581	112	6	.	.	PUNCT
cana-1581	113	1	hence	hence	ADV
cana-1581	113	2	,	,	PUNCT
cana-1581	113	3	we	we	PRON
cana-1581	113	4	claim	claim	VERB
cana-1581	113	5	that	that	SCONJ
cana-1581	113	6	the	the	DET
cana-1581	113	7	programs	program	NOUN
cana-1581	113	8	are	be	AUX
cana-1581	113	9	robust	robust	ADJ
cana-1581	113	10	and	and	CCONJ
cana-1581	113	11	valid	valid	ADJ
cana-1581	113	12	.	.	PUNCT
cana-1581	114	1	results	result	NOUN
cana-1581	114	2	:	:	PUNCT
cana-1581	114	3	the	the	DET
cana-1581	114	4	difference	difference	NOUN
cana-1581	114	5	between	between	ADP
cana-1581	114	6	the	the	DET
cana-1581	114	7	inclusion	inclusion	NOUN
cana-1581	114	8	of	of	ADP
cana-1581	114	9	couple	couple	NOUN
cana-1581	114	10	stresses	stress	NOUN
cana-1581	114	11	is	be	AUX
cana-1581	114	12	that	that	SCONJ
cana-1581	114	13	there	there	PRON
cana-1581	114	14	is	be	VERB
cana-1581	114	15	a	a	DET
cana-1581	114	16	decay	decay	NOUN
cana-1581	114	17	in	in	ADP
cana-1581	114	18	the	the	DET
cana-1581	114	19	drag	drag	NOUN
cana-1581	114	20	ratio	ratio	NOUN
cana-1581	114	21	when	when	SCONJ
cana-1581	114	22	the	the	DET
cana-1581	114	23	radius	radius	NOUN
cana-1581	114	24	of	of	ADP
cana-1581	114	25	sphere	sphere	NOUN
cana-1581	114	26	increases	increase	NOUN
cana-1581	114	27	as	as	SCONJ
cana-1581	114	28	seen	see	VERB
cana-1581	114	29	in	in	ADP
cana-1581	114	30	figure	figure	NOUN
cana-1581	114	31	(	(	PUNCT
cana-1581	114	32	1	1	NUM
cana-1581	114	33	)	)	PUNCT
cana-1581	114	34	,	,	PUNCT
cana-1581	114	35	where	where	SCONJ
cana-1581	114	36	as	as	ADP
cana-1581	114	37	in	in	ADP
cana-1581	114	38	the	the	DET
cana-1581	114	39	absence	absence	NOUN
cana-1581	114	40	of	of	ADP
cana-1581	114	41	couple	couple	NOUN
cana-1581	114	42	stress	stress	NOUN
cana-1581	114	43	the	the	DET
cana-1581	114	44	reynolds	reynolds	PROPN
cana-1581	114	45	number	number	NOUN
cana-1581	114	46	is	be	AUX
cana-1581	114	47	attained	attain	VERB
cana-1581	114	48	eventually	eventually	ADV
cana-1581	114	49	at	at	ADP
cana-1581	114	50	large	large	ADJ
cana-1581	114	51	times	time	NOUN
cana-1581	114	52	as	as	ADP
cana-1581	114	53	in	in	ADP
cana-1581	114	54	figure	figure	NOUN
cana-1581	114	55	(	(	PUNCT
cana-1581	114	56	2	2	NUM
cana-1581	114	57	)	)	PUNCT
cana-1581	114	58	.	.	PUNCT
cana-1581	115	1	further	far	ADV
cana-1581	115	2	the	the	DET
cana-1581	115	3	inclusion	inclusion	NOUN
cana-1581	115	4	of	of	ADP
cana-1581	115	5	both	both	PRON
cana-1581	115	6	leads	lead	VERB
cana-1581	115	7	to	to	ADP
cana-1581	115	8	the	the	DET
cana-1581	115	9	convergence	convergence	NOUN
cana-1581	115	10	of	of	ADP
cana-1581	115	11	the	the	DET
cana-1581	115	12	curves	curve	NOUN
cana-1581	115	13	of	of	ADP
cana-1581	115	14	the	the	DET
cana-1581	115	15	first	first	ADJ
cana-1581	115	16	figures	figure	NOUN
cana-1581	115	17	.	.	PUNCT
cana-1581	116	1	that	that	PRON
cana-1581	116	2	is	be	AUX
cana-1581	116	3	all	all	DET
cana-1581	116	4	the	the	DET
cana-1581	116	5	curves	curve	NOUN
cana-1581	116	6	of	of	ADP
cana-1581	116	7	the	the	DET
cana-1581	116	8	figure(1	figure(1	NOUN
cana-1581	116	9	)	)	PUNCT
cana-1581	116	10	irrespective	irrespective	ADV
cana-1581	116	11	of	of	ADP
cana-1581	116	12	the	the	DET
cana-1581	116	13			NOUN
cana-1581	116	14	value	value	NOUN
cana-1581	116	15	merge	merge	VERB
cana-1581	116	16	with	with	ADP
cana-1581	116	17	the	the	DET
cana-1581	116	18	last	last	ADJ
cana-1581	116	19	curve	curve	NOUN
cana-1581	116	20	which	which	PRON
cana-1581	116	21	is	be	AUX
cana-1581	116	22	due	due	ADJ
cana-1581	116	23	to	to	ADP
cana-1581	116	24	the	the	DET
cana-1581	116	25	inclusion	inclusion	NOUN
cana-1581	116	26	of	of	ADP
cana-1581	116	27	resistance	resistance	NOUN
cana-1581	116	28	to	to	ADP
cana-1581	116	29	the	the	DET
cana-1581	116	30	change	change	NOUN
cana-1581	116	31	in	in	ADP
cana-1581	116	32	the	the	DET
cana-1581	116	33	change	change	NOUN
cana-1581	116	34	in	in	ADP
cana-1581	116	35	the	the	DET
cana-1581	116	36	motion	motion	NOUN
cana-1581	116	37	of	of	ADP
cana-1581	116	38	the	the	DET
cana-1581	116	39	fluid	fluid	NOUN
cana-1581	116	40	.	.	PUNCT
cana-1581	117	1	conclusion	conclusion	NOUN
cana-1581	117	2	:	:	PUNCT
cana-1581	117	3	this	this	DET
cana-1581	117	4	work	work	NOUN
cana-1581	117	5	is	be	AUX
cana-1581	117	6	the	the	DET
cana-1581	117	7	combination	combination	NOUN
cana-1581	117	8	of	of	ADP
cana-1581	117	9	expressions	expression	NOUN
cana-1581	117	10	given	give	VERB
cana-1581	117	11	by	by	ADP
cana-1581	117	12	v	v	NUM
cana-1581	117	13	k	k	PROPN
cana-1581	117	14	stokes	stoke	NOUN
cana-1581	117	15	and	and	CCONJ
cana-1581	117	16	lovalenti	lovalenti	PROPN
cana-1581	117	17	and	and	CCONJ
cana-1581	117	18	brady	brady	PROPN
cana-1581	117	19	,	,	PUNCT
cana-1581	117	20	in	in	ADP
cana-1581	117	21	which	which	PRON
cana-1581	117	22	we	we	PRON
cana-1581	117	23	extended	extend	VERB
cana-1581	117	24	the	the	DET
cana-1581	117	25	couple	couple	NOUN
cana-1581	117	26	stress	stress	NOUN
cana-1581	117	27	fluid	fluid	ADJ
cana-1581	117	28	hydrodynamic	hydrodynamic	ADJ
cana-1581	117	29	force	force	NOUN
cana-1581	117	30	at	at	ADP
cana-1581	117	31	zero	zero	NUM
cana-1581	117	32	reynolds	reynold	NOUN
cana-1581	117	33	numbers	number	NOUN
cana-1581	117	34	to	to	ADP
cana-1581	117	35	small	small	ADJ
cana-1581	117	36	and	and	CCONJ
cana-1581	117	37	finite	finite	ADJ
cana-1581	117	38	reynolds	reynolds	PROPN
cana-1581	117	39	numbers	number	NOUN
cana-1581	117	40	.	.	PUNCT
cana-1581	118	1	it	it	PRON
cana-1581	118	2	is	be	AUX
cana-1581	118	3	observed	observe	VERB
cana-1581	118	4	that	that	SCONJ
cana-1581	118	5	the	the	DET
cana-1581	118	6	combination	combination	NOUN
cana-1581	118	7	of	of	ADP
cana-1581	118	8	both	both	PRON
cana-1581	118	9	couple	couple	NOUN
cana-1581	118	10	stress	stress	NOUN
cana-1581	118	11	parameters	parameter	NOUN
cana-1581	118	12	and	and	CCONJ
cana-1581	118	13	low	low	ADJ
cana-1581	118	14	reynolds	reynold	NOUN
cana-1581	118	15	numbers	number	NOUN
cana-1581	118	16	gives	give	VERB
cana-1581	118	17	linearly	linearly	ADV
cana-1581	118	18	decaying	decay	VERB
cana-1581	118	19	trajectory	trajectory	NOUN
cana-1581	118	20	at	at	ADP
cana-1581	118	21	large	large	ADJ
cana-1581	118	22	times	time	NOUN
cana-1581	118	23	.	.	PUNCT
cana-1581	119	1	this	this	PRON
cana-1581	119	2	is	be	AUX
cana-1581	119	3	an	an	DET
cana-1581	119	4	expected	expect	VERB
cana-1581	119	5	result	result	NOUN
cana-1581	119	6	as	as	SCONJ
cana-1581	119	7	there	there	PRON
cana-1581	119	8	is	be	VERB
cana-1581	119	9	a	a	DET
cana-1581	119	10	fore	fore	NOUN
cana-1581	119	11	–	–	PUNCT
cana-1581	119	12	aft	aft	NOUN
cana-1581	119	13	symmetry	symmetry	NOUN
cana-1581	119	14	in	in	ADP
cana-1581	119	15	couple	couple	NOUN
cana-1581	119	16	stresses	stress	NOUN
cana-1581	119	17	and	and	CCONJ
cana-1581	119	18	as	as	SCONJ
cana-1581	119	19	the	the	DET
cana-1581	119	20	resistance	resistance	NOUN
cana-1581	119	21	to	to	PART
cana-1581	119	22	change	change	VERB
cana-1581	119	23	in	in	ADP
cana-1581	119	24	motion	motion	NOUN
cana-1581	119	25	is	be	AUX
cana-1581	119	26	applied	apply	VERB
cana-1581	119	27	on	on	ADP
cana-1581	119	28	the	the	DET
cana-1581	119	29	couple	couple	NOUN
cana-1581	119	30	forces	force	NOUN
cana-1581	119	31	of	of	ADP
cana-1581	119	32	the	the	DET
cana-1581	119	33	fluids	fluid	NOUN
cana-1581	119	34	,	,	PUNCT
cana-1581	119	35	they	they	PRON
cana-1581	119	36	tend	tend	VERB
cana-1581	119	37	to	to	PART
cana-1581	119	38	nullify	nullify	VERB
cana-1581	119	39	their	their	PRON
cana-1581	119	40	effects	effect	NOUN
cana-1581	119	41	and	and	CCONJ
cana-1581	119	42	tend	tend	VERB
cana-1581	119	43	to	to	PART
cana-1581	119	44	zero	zero	NUM
cana-1581	119	45	.	.	PUNCT
cana-1581	120	1	the	the	DET
cana-1581	120	2	authors	author	NOUN
cana-1581	120	3	in	in	ADP
cana-1581	120	4	spite	spite	NOUN
cana-1581	120	5	of	of	ADP
cana-1581	120	6	performing	perform	VERB
cana-1581	120	7	the	the	DET
cana-1581	120	8	numerical	numerical	ADJ
cana-1581	120	9	experiments	experiment	NOUN
cana-1581	120	10	several	several	ADJ
cana-1581	120	11	times	time	NOUN
cana-1581	120	12	the	the	DET
cana-1581	120	13	expression	expression	NOUN
cana-1581	120	14	for	for	ADP
cana-1581	120	15	hydrodynamic	hydrodynamic	ADJ
cana-1581	120	16	force	force	NOUN
cana-1581	120	17	gave	give	VERB
cana-1581	120	18	only	only	ADV
cana-1581	120	19	the	the	DET
cana-1581	120	20	linear	linear	ADJ
cana-1581	120	21	trend	trend	NOUN
cana-1581	120	22	at	at	ADP
cana-1581	120	23	large	large	ADJ
cana-1581	120	24	times	time	NOUN
cana-1581	120	25	.	.	PUNCT
cana-1581	121	1	communications	communication	NOUN
cana-1581	121	2	on	on	ADP
cana-1581	121	3	applied	apply	VERB
cana-1581	121	4	nonlinear	nonlinear	ADJ
cana-1581	121	5	analysis	analysis	NOUN
cana-1581	121	6	issn	issn	NOUN
cana-1581	121	7	:	:	PUNCT
cana-1581	121	8	1074	1074	NUM
cana-1581	121	9	-	-	PUNCT
cana-1581	121	10	133x	133x	NUM
cana-1581	121	11	vol	vol	NOUN
cana-1581	121	12	31	31	NUM
cana-1581	121	13	no	no	NOUN
cana-1581	121	14	.	.	PUNCT
cana-1581	122	1	8s	8s	PROPN
cana-1581	122	2	(	(	PUNCT
cana-1581	122	3	2024	2024	NUM
cana-1581	122	4	)	)	PUNCT
cana-1581	122	5	721	721	NUM
cana-1581	122	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	122	7	figure	figure	NOUN
cana-1581	122	8	1	1	NUM
cana-1581	122	9	:	:	PUNCT
cana-1581	122	10	the	the	DET
cana-1581	122	11	hydrodynamic	hydrodynamic	ADJ
cana-1581	122	12	force	force	NOUN
cana-1581	122	13	versus	versus	ADP
cana-1581	122	14	time	time	NOUN
cana-1581	122	15	at	at	ADP
cana-1581	122	16	zero	zero	NUM
cana-1581	122	17	reynolds	reynold	NOUN
cana-1581	122	18	numbers	number	NOUN
cana-1581	122	19	.	.	PUNCT
cana-1581	123	1	figure	figure	NOUN
cana-1581	123	2	2	2	NUM
cana-1581	123	3	:	:	PUNCT
cana-1581	123	4	the	the	DET
cana-1581	123	5	hydrodynamic	hydrodynamic	ADJ
cana-1581	123	6	force	force	NOUN
cana-1581	123	7	with	with	ADP
cana-1581	123	8	respect	respect	NOUN
cana-1581	123	9	to	to	ADP
cana-1581	123	10	time	time	NOUN
cana-1581	123	11	at	at	ADP
cana-1581	123	12	zero	zero	NUM
cana-1581	123	13	couple	couple	NOUN
cana-1581	123	14	stress	stress	NOUN
cana-1581	123	15	parameter	parameter	NOUN
cana-1581	123	16	at	at	ADP
cana-1581	123	17	small	small	ADJ
cana-1581	123	18	reynolds	reynold	NOUN
cana-1581	123	19	numbers	number	NOUN
cana-1581	123	20	showing	show	VERB
cana-1581	123	21	self	self	NOUN
cana-1581	123	22	–	–	PUNCT
cana-1581	123	23	similar	similar	ADJ
cana-1581	123	24	patterns	pattern	NOUN
cana-1581	123	25	figure	figure	VERB
cana-1581	123	26	3	3	NUM
cana-1581	123	27	:	:	PUNCT
cana-1581	123	28	the	the	DET
cana-1581	123	29	combination	combination	NOUN
cana-1581	123	30	of	of	ADP
cana-1581	123	31	both	both	DET
cana-1581	123	32	re	re	NOUN
cana-1581	123	33	and	and	CCONJ
cana-1581	123	34	couple	couple	NOUN
cana-1581	123	35	stress	stress	NOUN
cana-1581	123	36	parameter	parameter	NOUN
cana-1581	123	37	,	,	PUNCT
cana-1581	123	38	showing	show	VERB
cana-1581	123	39	the	the	DET
cana-1581	123	40	linear	linear	ADJ
cana-1581	123	41	decay	decay	NOUN
cana-1581	123	42	of	of	ADP
cana-1581	123	43	hydrodynamic	hydrodynamic	ADJ
cana-1581	123	44	force	force	NOUN
cana-1581	123	45	at	at	ADP
cana-1581	123	46	large	large	ADJ
cana-1581	123	47	times	time	NOUN
cana-1581	123	48	.	.	PUNCT
cana-1581	124	1	figure	figure	VERB
cana-1581	124	2	4	4	NUM
cana-1581	124	3	:	:	PUNCT
cana-1581	124	4	the	the	DET
cana-1581	124	5	combination	combination	NOUN
cana-1581	124	6	of	of	ADP
cana-1581	124	7	both	both	DET
cana-1581	124	8	re	re	NOUN
cana-1581	124	9	and	and	CCONJ
cana-1581	124	10	couple	couple	NOUN
cana-1581	124	11	stress	stress	NOUN
cana-1581	124	12	parameter	parameter	NOUN
cana-1581	124	13	,	,	PUNCT
cana-1581	124	14	showing	show	VERB
cana-1581	124	15	the	the	DET
cana-1581	124	16	linear	linear	ADJ
cana-1581	124	17	decay	decay	NOUN
cana-1581	124	18	of	of	ADP
cana-1581	124	19	hydrodynamic	hydrodynamic	ADJ
cana-1581	124	20	force	force	NOUN
cana-1581	124	21	at	at	ADP
cana-1581	124	22	large	large	ADJ
cana-1581	124	23	times	time	NOUN
cana-1581	124	24	,	,	PUNCT
cana-1581	124	25	for	for	ADP
cana-1581	124	26	re	re	ADP
cana-1581	124	27	<	<	X
cana-1581	124	28	.	.	NOUN
cana-1581	124	29	figure	figure	NOUN
cana-1581	124	30	5	5	NUM
cana-1581	124	31	:	:	PUNCT
cana-1581	124	32	the	the	DET
cana-1581	124	33	combination	combination	NOUN
cana-1581	124	34	of	of	ADP
cana-1581	124	35	both	both	DET
cana-1581	124	36	re	re	NOUN
cana-1581	124	37	and	and	CCONJ
cana-1581	124	38	couple	couple	NOUN
cana-1581	124	39	stress	stress	NOUN
cana-1581	124	40	parameter	parameter	NOUN
cana-1581	124	41	,	,	PUNCT
cana-1581	124	42	showing	show	VERB
cana-1581	124	43	the	the	DET
cana-1581	124	44	linear	linear	ADJ
cana-1581	124	45	decay	decay	NOUN
cana-1581	124	46	of	of	ADP
cana-1581	124	47	hydrodynamic	hydrodynamic	ADJ
cana-1581	124	48	force	force	NOUN
cana-1581	124	49	at	at	ADP
cana-1581	124	50	large	large	ADJ
cana-1581	124	51	times	time	NOUN
cana-1581	124	52	,	,	PUNCT
cana-1581	124	53	re	re	ADP
cana-1581	124	54	>	>	X
cana-1581	124	55	.	.	NOUN
cana-1581	124	56	communications	communication	NOUN
cana-1581	124	57	on	on	ADP
cana-1581	124	58	applied	apply	VERB
cana-1581	124	59	nonlinear	nonlinear	ADJ
cana-1581	124	60	analysis	analysis	NOUN
cana-1581	124	61	issn	issn	NOUN
cana-1581	124	62	:	:	PUNCT
cana-1581	124	63	1074	1074	NUM
cana-1581	124	64	-	-	PUNCT
cana-1581	124	65	133x	133x	NUM
cana-1581	124	66	vol	vol	NOUN
cana-1581	124	67	31	31	NUM
cana-1581	124	68	no	no	NOUN
cana-1581	124	69	.	.	PUNCT
cana-1581	125	1	8s	8s	PROPN
cana-1581	125	2	(	(	PUNCT
cana-1581	125	3	2024	2024	NUM
cana-1581	125	4	)	)	PUNCT
cana-1581	125	5	722	722	NUM
cana-1581	125	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	125	7	acknowledgement	acknowledgement	NOUN
cana-1581	125	8	:	:	PUNCT
cana-1581	125	9	the	the	DET
cana-1581	125	10	authors	author	NOUN
cana-1581	125	11	wish	wish	VERB
cana-1581	125	12	to	to	PART
cana-1581	125	13	acknowledge	acknowledge	VERB
cana-1581	125	14	the	the	DET
cana-1581	125	15	support	support	NOUN
cana-1581	125	16	and	and	CCONJ
cana-1581	125	17	encouragement	encouragement	NOUN
cana-1581	125	18	given	give	VERB
cana-1581	125	19	by	by	ADP
cana-1581	125	20	the	the	DET
cana-1581	125	21	principals	principal	NOUN
cana-1581	125	22	,	,	PUNCT
cana-1581	125	23	head	head	NOUN
cana-1581	125	24	,	,	PUNCT
cana-1581	125	25	colleagues	colleague	NOUN
cana-1581	125	26	and	and	CCONJ
cana-1581	125	27	management	management	NOUN
cana-1581	125	28	of	of	ADP
cana-1581	125	29	the	the	DET
cana-1581	125	30	institutes	institutes	PROPN
cana-1581	125	31	bmsce	bmsce	PROPN
cana-1581	125	32	and	and	CCONJ
cana-1581	125	33	bmsit&m	bmsit&m	PROPN
cana-1581	125	34	.	.	PUNCT
cana-1581	126	1	references	reference	NOUN
cana-1581	126	2	:	:	PUNCT
cana-1581	127	1	[	[	X
cana-1581	127	2	1	1	NUM
cana-1581	127	3	]	]	X
cana-1581	127	4	couple	couple	ADJ
cana-1581	127	5	-	-	PUNCT
cana-1581	127	6	stress	stress	NOUN
cana-1581	127	7	fluids	fluid	NOUN
cana-1581	127	8	by	by	ADP
cana-1581	127	9	v.k	v.k	PROPN
cana-1581	127	10	.	.	PROPN
cana-1581	127	11	stokes	stokes	PROPN
cana-1581	127	12	(	(	PUNCT
cana-1581	127	13	1966	1966	NUM
cana-1581	127	14	)	)	PUNCT
cana-1581	128	1	[	[	X
cana-1581	128	2	2	2	X
cana-1581	128	3	]	]	PUNCT
cana-1581	128	4	the	the	DET
cana-1581	128	5	hydrodynamic	hydrodynamic	ADJ
cana-1581	128	6	force	force	NOUN
cana-1581	128	7	on	on	ADP
cana-1581	128	8	a	a	DET
cana-1581	128	9	rigid	rigid	ADJ
cana-1581	128	10	particle	particle	NOUN
cana-1581	128	11	undergoing	undergo	VERB
cana-1581	128	12	arbitrary	arbitrary	ADJ
cana-1581	128	13	time	time	NOUN
cana-1581	128	14	-	-	PUNCT
cana-1581	128	15	dependent	dependent	ADJ
cana-1581	128	16	motion	motion	NOUN
cana-1581	128	17	at	at	ADP
cana-1581	128	18	small	small	ADJ
cana-1581	128	19	reynolds	reynold	NOUN
cana-1581	128	20	number	number	NOUN
cana-1581	128	21	,	,	PUNCT
cana-1581	128	22	p	p	NOUN
cana-1581	128	23	m	m	NOUN
cana-1581	128	24	lovalenti	lovalenti	ADJ
cana-1581	128	25	and	and	CCONJ
cana-1581	128	26	j	j	PROPN
cana-1581	128	27	f	f	PROPN
cana-1581	128	28	brady	brady	PROPN
cana-1581	128	29	,	,	PUNCT
cana-1581	128	30	1993	1993	NUM
cana-1581	128	31	,	,	PUNCT
cana-1581	128	32	j.	j.	PROPN
cana-1581	128	33	fluid	fluid	PROPN
cana-1581	128	34	mech	mech	NOUN
cana-1581	128	35	.	.	PUNCT
cana-1581	129	1	[	[	X
cana-1581	129	2	3	3	X
cana-1581	129	3	]	]	PUNCT
cana-1581	129	4	effect	effect	NOUN
cana-1581	129	5	of	of	ADP
cana-1581	129	6	couple	couple	NOUN
cana-1581	129	7	stresses	stress	NOUN
cana-1581	129	8	on	on	ADP
cana-1581	129	9	the	the	DET
cana-1581	129	10	rheology	rheology	NOUN
cana-1581	129	11	and	and	CCONJ
cana-1581	129	12	dynamics	dynamic	NOUN
cana-1581	129	13	of	of	ADP
cana-1581	129	14	linear	linear	PROPN
cana-1581	129	15	maxwell	maxwell	PROPN
cana-1581	129	16	viscoelastic	viscoelastic	PROPN
cana-1581	129	17	fluids	fluid	NOUN
cana-1581	129	18	physics	physic	NOUN
cana-1581	129	19	of	of	ADP
cana-1581	129	20	fluids	fluid	NOUN
cana-1581	129	21	32	32	NUM
cana-1581	129	22	,	,	PUNCT
cana-1581	129	23	013108	013108	NUM
cana-1581	129	24	(	(	PUNCT
cana-1581	129	25	2020	2020	NUM
cana-1581	129	26	)	)	PUNCT
cana-1581	130	1	[	[	X
cana-1581	130	2	4	4	X
cana-1581	130	3	]	]	X
cana-1581	130	4	hydromagnetic	hydromagnetic	ADJ
cana-1581	130	5	flow	flow	NOUN
cana-1581	130	6	of	of	ADP
cana-1581	130	7	two	two	NUM
cana-1581	130	8	immiscible	immiscible	ADJ
cana-1581	130	9	couple	couple	NOUN
cana-1581	130	10	stress	stress	NOUN
cana-1581	130	11	fluids	fluid	NOUN
cana-1581	130	12	through	through	ADP
cana-1581	130	13	porous	porous	ADJ
cana-1581	130	14	medium	medium	NOUN
cana-1581	130	15	in	in	ADP
cana-1581	130	16	a	a	DET
cana-1581	130	17	cylindrical	cylindrical	ADJ
cana-1581	130	18	pipe	pipe	NOUN
cana-1581	130	19	with	with	ADP
cana-1581	130	20	slip	slip	NOUN
cana-1581	130	21	effect	effect	NOUN
cana-1581	130	22	by	by	ADP
cana-1581	130	23	srinivasacharyulu	srinivasacharyulu	VERB
cana-1581	130	24	et	et	PROPN
cana-1581	130	25	al	al	PROPN
cana-1581	130	26	.	.	PROPN
cana-1581	131	1	(	(	PUNCT
cana-1581	131	2	2023	2023	NUM
cana-1581	131	3	):	):	PUNCT
cana-1581	131	4	[	[	X
cana-1581	131	5	5	5	NUM
cana-1581	131	6	]	]	SYM
cana-1581	131	7	couple	couple	ADJ
cana-1581	131	8	-	-	PUNCT
cana-1581	131	9	stress	stress	NOUN
cana-1581	131	10	fluid	fluid	NOUN
cana-1581	131	11	improves	improve	VERB
cana-1581	131	12	dynamic	dynamic	ADJ
cana-1581	131	13	response	response	NOUN
cana-1581	131	14	of	of	ADP
cana-1581	131	15	gear	gear	ADJ
cana-1581	131	16	-	-	PUNCT
cana-1581	131	17	pair	pair	NOUN
cana-1581	131	18	system	system	NOUN
cana-1581	131	19	supported	support	VERB
cana-1581	131	20	by	by	ADP
cana-1581	131	21	journal	journal	ADJ
cana-1581	131	22	bearings	bearing	NOUN
cana-1581	131	23	by	by	ADP
cana-1581	131	24	sui	sui	PROPN
cana-1581	131	25	et	et	PROPN
cana-1581	131	26	al	al	PROPN
cana-1581	131	27	.	.	PROPN
cana-1581	132	1	(	(	PUNCT
cana-1581	132	2	2012	2012	NUM
cana-1581	132	3	)	)	PUNCT
cana-1581	133	1	[	[	X
cana-1581	133	2	6	6	NUM
cana-1581	133	3	]	]	PUNCT
cana-1581	133	4	elastohydrodynamic	elastohydrodynamic	ADJ
cana-1581	133	5	lubrication	lubrication	NOUN
cana-1581	133	6	theory	theory	NOUN
cana-1581	133	7	of	of	ADP
cana-1581	133	8	line	line	NOUN
cana-1581	133	9	contacts	contact	NOUN
cana-1581	133	10	:	:	PUNCT
cana-1581	133	11	couple	couple	NOUN
cana-1581	133	12	stress	stress	ADJ
cana-1581	133	13	fluid	fluid	NOUN
cana-1581	133	14	model	model	NOUN
cana-1581	133	15	by	by	ADP
cana-1581	133	16	gupta	gupta	PROPN
cana-1581	133	17	and	and	CCONJ
cana-1581	133	18	kumar	kumar	PROPN
cana-1581	133	19	(	(	PUNCT
cana-1581	133	20	1997	1997	NUM
cana-1581	133	21	)	)	PUNCT
cana-1581	134	1	[	[	X
cana-1581	134	2	7	7	X
cana-1581	134	3	]	]	X
cana-1581	134	4	a	a	DET
cana-1581	134	5	review	review	NOUN
cana-1581	134	6	on	on	ADP
cana-1581	134	7	applications	application	NOUN
cana-1581	134	8	of	of	ADP
cana-1581	134	9	couple	couple	NOUN
cana-1581	134	10	stress	stress	NOUN
cana-1581	134	11	fluids	fluid	NOUN
cana-1581	134	12	by	by	ADP
cana-1581	134	13	marinca	marinca	PROPN
cana-1581	134	14	et	et	PROPN
cana-1581	134	15	al	al	PROPN
cana-1581	134	16	.	.	PROPN
cana-1581	135	1	(	(	PUNCT
cana-1581	135	2	2013	2013	NUM
cana-1581	135	3	)	)	PUNCT
cana-1581	136	1	[	[	X
cana-1581	136	2	8	8	X
cana-1581	136	3	]	]	PUNCT
cana-1581	136	4	blood	blood	NOUN
cana-1581	136	5	flow	flow	NOUN
cana-1581	136	6	as	as	ADP
cana-1581	136	7	a	a	DET
cana-1581	136	8	couple	couple	NOUN
cana-1581	136	9	stress	stress	NOUN
cana-1581	136	10	fluid	fluid	NOUN
cana-1581	136	11	:	:	PUNCT
cana-1581	136	12	effects	effect	NOUN
cana-1581	136	13	on	on	ADP
cana-1581	136	14	hemorheology	hemorheology	NOUN
cana-1581	136	15	in	in	ADP
cana-1581	136	16	stenosed	stenose	VERB
cana-1581	136	17	microchannels	microchannel	NOUN
cana-1581	136	18	by	by	ADP
cana-1581	136	19	hayat	hayat	PROPN
cana-1581	136	20	et	et	PROPN
cana-1581	136	21	al	al	PROPN
cana-1581	136	22	.	.	PROPN
cana-1581	137	1	(	(	PUNCT
cana-1581	137	2	2012	2012	NUM
cana-1581	137	3	)	)	PUNCT
cana-1581	138	1	[	[	X
cana-1581	138	2	9	9	NUM
cana-1581	138	3	]	]	PUNCT
cana-1581	138	4	flow	flow	NOUN
cana-1581	138	5	of	of	ADP
cana-1581	138	6	a	a	DET
cana-1581	138	7	couple	couple	NOUN
cana-1581	138	8	stress	stress	NOUN
cana-1581	138	9	fluid	fluid	NOUN
cana-1581	138	10	representing	represent	VERB
cana-1581	138	11	blood	blood	NOUN
cana-1581	138	12	through	through	ADP
cana-1581	138	13	stenotic	stenotic	ADJ
cana-1581	138	14	vessels	vessel	NOUN
cana-1581	138	15	with	with	ADP
cana-1581	138	16	a	a	DET
cana-1581	138	17	peripheral	peripheral	ADJ
cana-1581	138	18	layer	layer	NOUN
cana-1581	138	19	by	by	ADP
cana-1581	138	20	misra	misra	PROPN
cana-1581	138	21	and	and	CCONJ
cana-1581	138	22	pandey	pandey	PROPN
cana-1581	138	23	(	(	PUNCT
cana-1581	138	24	2013	2013	NUM
cana-1581	138	25	)	)	PUNCT
cana-1581	139	1	[	[	X
cana-1581	139	2	10	10	NUM
cana-1581	139	3	]	]	X
cana-1581	139	4	a	a	DET
cana-1581	139	5	new	new	ADJ
cana-1581	139	6	constitutive	constitutive	ADJ
cana-1581	139	7	model	model	NOUN
cana-1581	139	8	for	for	ADP
cana-1581	139	9	blood	blood	NOUN
cana-1581	139	10	flow	flow	NOUN
cana-1581	139	11	based	base	VERB
cana-1581	139	12	on	on	ADP
cana-1581	139	13	the	the	DET
cana-1581	139	14	couple	couple	NOUN
cana-1581	139	15	stress	stress	NOUN
cana-1581	139	16	theory	theory	NOUN
cana-1581	139	17	by	by	ADP
cana-1581	139	18	gursel	gursel	PROPN
cana-1581	139	19	(	(	PUNCT
cana-1581	139	20	2004	2004	NUM
cana-1581	139	21	)	)	PUNCT
cana-1581	140	1	[	[	X
cana-1581	140	2	11	11	NUM
cana-1581	140	3	]	]	PUNCT
cana-1581	140	4	blood	blood	NOUN
cana-1581	140	5	microrheology	microrheology	NOUN
cana-1581	140	6	in	in	ADP
cana-1581	140	7	stenosis	stenosis	NOUN
cana-1581	140	8	using	use	VERB
cana-1581	140	9	couple	couple	NOUN
cana-1581	140	10	stress	stress	NOUN
cana-1581	140	11	fluid	fluid	NOUN
cana-1581	140	12	model	model	NOUN
cana-1581	140	13	by	by	ADP
cana-1581	140	14	misra	misra	PROPN
cana-1581	140	15	et	et	PROPN
cana-1581	140	16	al	al	PROPN
cana-1581	140	17	.	.	PROPN
cana-1581	141	1	(	(	PUNCT
cana-1581	141	2	2010	2010	NUM
cana-1581	141	3	)	)	PUNCT
cana-1581	142	1	[	[	X
cana-1581	142	2	12	12	NUM
cana-1581	142	3	]	]	PUNCT
cana-1581	142	4	a	a	DET
cana-1581	142	5	theoretical	theoretical	ADJ
cana-1581	142	6	model	model	NOUN
cana-1581	142	7	for	for	ADP
cana-1581	142	8	blood	blood	NOUN
cana-1581	142	9	flow	flow	NOUN
cana-1581	142	10	in	in	ADP
cana-1581	142	11	microchannels	microchannel	NOUN
cana-1581	142	12	based	base	VERB
cana-1581	142	13	on	on	ADP
cana-1581	142	14	couple	couple	NOUN
cana-1581	142	15	stress	stress	NOUN
cana-1581	142	16	theory	theory	NOUN
cana-1581	142	17	by	by	ADP
cana-1581	142	18	hayat	hayat	PROPN
cana-1581	142	19	et	et	PROPN
cana-1581	142	20	al	al	PROPN
cana-1581	142	21	.	.	PROPN
cana-1581	143	1	(	(	PUNCT
cana-1581	143	2	2010	2010	NUM
cana-1581	143	3	)	)	PUNCT
cana-1581	144	1	[	[	X
cana-1581	144	2	13	13	NUM
cana-1581	144	3	]	]	X
cana-1581	144	4	numerical	numerical	PROPN
cana-1581	144	5	simulation	simulation	NOUN
cana-1581	144	6	of	of	ADP
cana-1581	144	7	blood	blood	NOUN
cana-1581	144	8	flow	flow	NOUN
cana-1581	144	9	in	in	ADP
cana-1581	144	10	microchannels	microchannel	NOUN
cana-1581	144	11	using	use	VERB
cana-1581	144	12	couple	couple	NOUN
cana-1581	144	13	stress	stress	NOUN
cana-1581	144	14	fluid	fluid	NOUN
cana-1581	144	15	model	model	NOUN
cana-1581	144	16	by	by	ADP
cana-1581	144	17	hayat	hayat	PROPN
cana-1581	144	18	et	et	PROPN
cana-1581	144	19	al	al	PROPN
cana-1581	144	20	.	.	PROPN
cana-1581	145	1	(	(	PUNCT
cana-1581	145	2	2012	2012	NUM
cana-1581	145	3	)	)	PUNCT
cana-1581	146	1	[	[	X
cana-1581	146	2	14	14	NUM
cana-1581	146	3	]	]	PUNCT
cana-1581	146	4	non	non	ADJ
cana-1581	146	5	-	-	ADJ
cana-1581	146	6	newtonian	newtonian	ADJ
cana-1581	146	7	hemodynamics	hemodynamic	NOUN
cana-1581	146	8	in	in	ADP
cana-1581	146	9	stenosed	stenose	VERB
cana-1581	146	10	arteries	artery	NOUN
cana-1581	146	11	by	by	ADP
cana-1581	146	12	marinca	marinca	PROPN
cana-1581	146	13	et	et	PROPN
cana-1581	146	14	al	al	PROPN
cana-1581	146	15	.	.	PROPN
cana-1581	146	16	(	(	PUNCT
cana-1581	146	17	2011	2011	NUM
cana-1581	146	18	)	)	PUNCT
cana-1581	147	1	[	[	X
cana-1581	147	2	15	15	NUM
cana-1581	147	3	]	]	X
cana-1581	147	4	a	a	DET
cana-1581	147	5	mathematical	mathematical	ADJ
cana-1581	147	6	model	model	NOUN
cana-1581	147	7	for	for	ADP
cana-1581	147	8	blood	blood	NOUN
cana-1581	147	9	flow	flow	NOUN
cana-1581	147	10	through	through	ADP
cana-1581	147	11	arterial	arterial	NOUN
cana-1581	147	12	stenosis	stenosis	NOUN
cana-1581	147	13	based	base	VERB
cana-1581	147	14	on	on	ADP
cana-1581	147	15	couple	couple	NOUN
cana-1581	147	16	stress	stress	NOUN
cana-1581	147	17	theory	theory	NOUN
cana-1581	147	18	by	by	ADP
cana-1581	147	19	hayat	hayat	PROPN
cana-1581	147	20	et	et	PROPN
cana-1581	147	21	al	al	PROPN
cana-1581	147	22	.	.	PROPN
cana-1581	148	1	(	(	PUNCT
cana-1581	148	2	2009	2009	NUM
cana-1581	148	3	)	)	PUNCT
cana-1581	149	1	[	[	X
cana-1581	149	2	16	16	NUM
cana-1581	149	3	]	]	PUNCT
cana-1581	149	4	blood	blood	NOUN
cana-1581	149	5	flow	flow	NOUN
cana-1581	149	6	through	through	ADP
cana-1581	149	7	a	a	DET
cana-1581	149	8	stenosed	stenosed	ADJ
cana-1581	149	9	artery	artery	NOUN
cana-1581	149	10	with	with	ADP
cana-1581	149	11	a	a	DET
cana-1581	149	12	peripheral	peripheral	ADJ
cana-1581	149	13	plasma	plasma	NOUN
cana-1581	149	14	layer	layer	NOUN
cana-1581	149	15	by	by	ADP
cana-1581	149	16	hayat	hayat	PROPN
cana-1581	149	17	et	et	PROPN
cana-1581	149	18	al	al	PROPN
cana-1581	149	19	.	.	PROPN
cana-1581	150	1	(	(	PUNCT
cana-1581	150	2	2011	2011	NUM
cana-1581	150	3	):	):	PUNCT
cana-1581	150	4	[	[	X
cana-1581	150	5	17	17	NUM
cana-1581	150	6	]	]	PUNCT
cana-1581	150	7	blood	blood	NOUN
cana-1581	150	8	microrheology	microrheology	NOUN
cana-1581	150	9	in	in	ADP
cana-1581	150	10	channels	channel	NOUN
cana-1581	150	11	with	with	ADP
cana-1581	150	12	contractions	contraction	NOUN
cana-1581	150	13	and	and	CCONJ
cana-1581	150	14	expansions	expansion	NOUN
cana-1581	150	15	using	use	VERB
cana-1581	150	16	couple	couple	NOUN
cana-1581	150	17	stress	stress	NOUN
cana-1581	150	18	fluid	fluid	NOUN
cana-1581	150	19	model	model	NOUN
cana-1581	150	20	by	by	ADP
cana-1581	150	21	misra	misra	PROPN
cana-1581	150	22	et	et	PROPN
cana-1581	150	23	al	al	PROPN
cana-1581	150	24	.	.	PROPN
cana-1581	151	1	(	(	PUNCT
cana-1581	151	2	2009	2009	NUM
cana-1581	151	3	)	)	PUNCT
cana-1581	152	1	[	[	X
cana-1581	152	2	18	18	NUM
cana-1581	152	3	]	]	X
cana-1581	152	4	numerical	numerical	PROPN
cana-1581	152	5	simulation	simulation	NOUN
cana-1581	152	6	of	of	ADP
cana-1581	152	7	flow	flow	NOUN
cana-1581	152	8	of	of	ADP
cana-1581	152	9	a	a	DET
cana-1581	152	10	couple	couple	NOUN
cana-1581	152	11	stress	stress	NOUN
cana-1581	152	12	fluid	fluid	NOUN
cana-1581	152	13	past	past	ADP
cana-1581	152	14	a	a	DET
cana-1581	152	15	sphere	sphere	NOUN
cana-1581	152	16	by	by	ADP
cana-1581	152	17	rashidi	rashidi	PROPN
cana-1581	152	18	et	et	PROPN
cana-1581	152	19	al	al	PROPN
cana-1581	152	20	.	.	PROPN
cana-1581	153	1	(	(	PUNCT
cana-1581	153	2	2013	2013	NUM
cana-1581	153	3	)	)	PUNCT
cana-1581	154	1	[	[	X
cana-1581	154	2	19	19	NUM
cana-1581	154	3	]	]	X
cana-1581	154	4	natural	natural	ADJ
cana-1581	154	5	convection	convection	NOUN
cana-1581	154	6	flow	flow	NOUN
cana-1581	154	7	of	of	ADP
cana-1581	154	8	a	a	DET
cana-1581	154	9	couple	couple	NOUN
cana-1581	154	10	stress	stress	NOUN
cana-1581	154	11	fluid	fluid	NOUN
cana-1581	154	12	in	in	ADP
cana-1581	154	13	a	a	DET
cana-1581	154	14	square	square	ADJ
cana-1581	154	15	cavity	cavity	NOUN
cana-1581	154	16	by	by	ADP
cana-1581	154	17	haq	haq	PROPN
cana-1581	154	18	et	et	PROPN
cana-1581	154	19	al	al	PROPN
cana-1581	154	20	.	.	PROPN
cana-1581	155	1	(	(	PUNCT
cana-1581	155	2	2013	2013	NUM
cana-1581	155	3	)	)	PUNCT
cana-1581	156	1	[	[	X
cana-1581	156	2	20	20	NUM
cana-1581	156	3	]	]	SYM
cana-1581	156	4	boundary	boundary	ADJ
cana-1581	156	5	layer	layer	NOUN
cana-1581	156	6	flow	flow	NOUN
cana-1581	156	7	of	of	ADP
cana-1581	156	8	a	a	DET
cana-1581	156	9	couple	couple	NOUN
cana-1581	156	10	stress	stress	NOUN
cana-1581	156	11	fluid	fluid	NOUN
cana-1581	156	12	over	over	ADP
cana-1581	156	13	a	a	DET
cana-1581	156	14	porous	porous	ADJ
cana-1581	156	15	stretching	stretch	VERB
cana-1581	156	16	sheet	sheet	NOUN
cana-1581	156	17	by	by	ADP
cana-1581	156	18	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	156	19	(	(	PUNCT
cana-1581	156	20	2012	2012	NUM
cana-1581	156	21	)	)	PUNCT
cana-1581	157	1	[	[	X
cana-1581	157	2	21	21	NUM
cana-1581	157	3	]	]	X
cana-1581	157	4	flows	flow	NOUN
cana-1581	157	5	of	of	ADP
cana-1581	157	6	a	a	DET
cana-1581	157	7	couple	couple	NOUN
cana-1581	157	8	stress	stress	NOUN
cana-1581	157	9	fluid	fluid	NOUN
cana-1581	157	10	past	past	ADP
cana-1581	157	11	a	a	DET
cana-1581	157	12	circular	circular	ADJ
cana-1581	157	13	cylinder	cylinder	NOUN
cana-1581	157	14	by	by	ADP
cana-1581	157	15	hayat	hayat	PROPN
cana-1581	157	16	et	et	PROPN
cana-1581	157	17	al	al	PROPN
cana-1581	157	18	.	.	PROPN
cana-1581	158	1	(	(	PUNCT
cana-1581	158	2	2010	2010	NUM
cana-1581	158	3	)	)	PUNCT
cana-1581	159	1	[	[	X
cana-1581	159	2	22	22	NUM
cana-1581	159	3	]	]	X
cana-1581	159	4	mixed	mixed	ADJ
cana-1581	159	5	convection	convection	NOUN
cana-1581	159	6	flow	flow	NOUN
cana-1581	159	7	of	of	ADP
cana-1581	159	8	a	a	DET
cana-1581	159	9	couple	couple	NOUN
cana-1581	159	10	stress	stress	NOUN
cana-1581	159	11	fluid	fluid	NOUN
cana-1581	159	12	over	over	ADP
cana-1581	159	13	a	a	DET
cana-1581	159	14	vertical	vertical	ADJ
cana-1581	159	15	porous	porous	ADJ
cana-1581	159	16	plate	plate	NOUN
cana-1581	159	17	in	in	ADP
cana-1581	159	18	the	the	DET
cana-1581	159	19	presence	presence	NOUN
cana-1581	159	20	of	of	ADP
cana-1581	159	21	heat	heat	NOUN
cana-1581	159	22	source	source	NOUN
cana-1581	159	23	/	/	SYM
cana-1581	159	24	sink	sink	NOUN
cana-1581	159	25	by	by	ADP
cana-1581	159	26	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	159	27	(	(	PUNCT
cana-1581	159	28	2011	2011	NUM
cana-1581	159	29	):	):	PUNCT
cana-1581	159	30	[	[	X
cana-1581	159	31	23	23	NUM
cana-1581	159	32	]	]	PUNCT
cana-1581	159	33	heat	heat	NOUN
cana-1581	159	34	transfer	transfer	NOUN
cana-1581	159	35	characteristics	characteristic	NOUN
cana-1581	159	36	of	of	ADP
cana-1581	159	37	mhd	mhd	NOUN
cana-1581	159	38	couple	couple	NOUN
cana-1581	159	39	stress	stress	NOUN
cana-1581	159	40	fluid	fluid	NOUN
cana-1581	159	41	flow	flow	NOUN
cana-1581	159	42	over	over	ADP
cana-1581	159	43	a	a	DET
cana-1581	159	44	permeable	permeable	ADJ
cana-1581	159	45	stretching	stretching	NOUN
cana-1581	159	46	sheet	sheet	NOUN
cana-1581	159	47	with	with	ADP
cana-1581	159	48	suction	suction	NOUN
cana-1581	159	49	/	/	SYM
cana-1581	159	50	injection	injection	NOUN
cana-1581	159	51	by	by	ADP
cana-1581	159	52	pal	pal	NOUN
cana-1581	159	53	and	and	CCONJ
cana-1581	159	54	mandal	mandal	ADJ
cana-1581	159	55	(	(	PUNCT
cana-1581	159	56	2019	2019	NUM
cana-1581	159	57	):	):	PUNCT
cana-1581	159	58	[	[	X
cana-1581	159	59	24	24	NUM
cana-1581	159	60	]	]	X
cana-1581	159	61	steady	steady	ADJ
cana-1581	159	62	mhd	mhd	NOUN
cana-1581	159	63	couple	couple	NOUN
cana-1581	159	64	stress	stress	NOUN
cana-1581	159	65	fluid	fluid	NOUN
cana-1581	159	66	flow	flow	NOUN
cana-1581	159	67	and	and	CCONJ
cana-1581	159	68	heat	heat	NOUN
cana-1581	159	69	transfer	transfer	NOUN
cana-1581	159	70	over	over	ADP
cana-1581	159	71	a	a	DET
cana-1581	159	72	stretching	stretch	VERB
cana-1581	159	73	vertical	vertical	ADJ
cana-1581	159	74	plate	plate	NOUN
cana-1581	159	75	with	with	ADP
cana-1581	159	76	suction	suction	NOUN
cana-1581	159	77	/	/	SYM
cana-1581	159	78	injection	injection	NOUN
cana-1581	159	79	by	by	ADP
cana-1581	159	80	pal	pal	NOUN
cana-1581	159	81	and	and	CCONJ
cana-1581	159	82	mandal	mandal	ADJ
cana-1581	159	83	(	(	PUNCT
cana-1581	159	84	2018	2018	NUM
cana-1581	159	85	)	)	PUNCT
cana-1581	160	1	[	[	X
cana-1581	160	2	25	25	NUM
cana-1581	160	3	]	]	PUNCT
cana-1581	160	4	peristaltic	peristaltic	ADJ
cana-1581	160	5	transport	transport	NOUN
cana-1581	160	6	of	of	ADP
cana-1581	160	7	a	a	DET
cana-1581	160	8	couple	couple	NOUN
cana-1581	160	9	stress	stress	NOUN
cana-1581	160	10	fluid	fluid	NOUN
cana-1581	160	11	in	in	ADP
cana-1581	160	12	a	a	DET
cana-1581	160	13	channel	channel	NOUN
cana-1581	160	14	with	with	ADP
cana-1581	160	15	variable	variable	ADJ
cana-1581	160	16	viscosity	viscosity	NOUN
cana-1581	160	17	by	by	ADP
cana-1581	160	18	srinivas	srinivas	PROPN
cana-1581	160	19	and	and	CCONJ
cana-1581	160	20	rani	rani	PROPN
cana-1581	160	21	(	(	PUNCT
cana-1581	160	22	2014	2014	NUM
cana-1581	160	23	):	):	PUNCT
cana-1581	160	24	[	[	X
cana-1581	160	25	26	26	NUM
cana-1581	160	26	]	]	X
cana-1581	160	27	numerical	numerical	PROPN
cana-1581	160	28	simulation	simulation	NOUN
cana-1581	160	29	of	of	ADP
cana-1581	160	30	mhd	mhd	NOUN
cana-1581	160	31	couple	couple	NOUN
cana-1581	160	32	stress	stress	NOUN
cana-1581	160	33	fluid	fluid	NOUN
cana-1581	160	34	flow	flow	NOUN
cana-1581	160	35	past	past	ADP
cana-1581	160	36	a	a	DET
cana-1581	160	37	sphere	sphere	NOUN
cana-1581	160	38	with	with	ADP
cana-1581	160	39	heat	heat	NOUN
cana-1581	160	40	transfer	transfer	NOUN
cana-1581	160	41	by	by	ADP
cana-1581	160	42	khan	khan	PROPN
cana-1581	160	43	et	et	PROPN
cana-1581	160	44	al	al	PROPN
cana-1581	160	45	.	.	PROPN
cana-1581	161	1	(	(	PUNCT
cana-1581	161	2	2018	2018	NUM
cana-1581	161	3	):	):	PUNCT
cana-1581	161	4	[	[	X
cana-1581	161	5	27	27	NUM
cana-1581	161	6	]	]	SYM
cana-1581	161	7	mhd	mhd	NOUN
cana-1581	161	8	couple	couple	NOUN
cana-1581	161	9	stress	stress	NOUN
cana-1581	161	10	fluid	fluid	NOUN
cana-1581	161	11	flow	flow	NOUN
cana-1581	161	12	past	past	ADP
cana-1581	161	13	a	a	DET
cana-1581	161	14	permeable	permeable	ADJ
cana-1581	161	15	stretching	stretching	NOUN
cana-1581	161	16	sheet	sheet	NOUN
cana-1581	161	17	with	with	ADP
cana-1581	161	18	heat	heat	NOUN
cana-1581	161	19	transfer	transfer	NOUN
cana-1581	161	20	by	by	ADP
cana-1581	161	21	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	161	22	(	(	PUNCT
cana-1581	161	23	2017	2017	NUM
cana-1581	161	24	)	)	PUNCT
cana-1581	162	1	[	[	X
cana-1581	162	2	28	28	NUM
cana-1581	162	3	]	]	X
cana-1581	162	4	boundary	boundary	ADJ
cana-1581	162	5	layer	layer	NOUN
cana-1581	162	6	flow	flow	NOUN
cana-1581	162	7	of	of	ADP
cana-1581	162	8	a	a	DET
cana-1581	162	9	couple	couple	NOUN
cana-1581	162	10	stress	stress	NOUN
cana-1581	162	11	fluid	fluid	NOUN
cana-1581	162	12	over	over	ADP
cana-1581	162	13	a	a	DET
cana-1581	162	14	porous	porous	ADJ
cana-1581	162	15	stretching	stretch	VERB
cana-1581	162	16	sheet	sheet	NOUN
cana-1581	162	17	by	by	ADP
cana-1581	162	18	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	162	19	(	(	PUNCT
cana-1581	162	20	2012	2012	NUM
cana-1581	162	21	)	)	PUNCT
cana-1581	162	22	communications	communication	NOUN
cana-1581	162	23	on	on	ADP
cana-1581	162	24	applied	apply	VERB
cana-1581	162	25	nonlinear	nonlinear	ADJ
cana-1581	162	26	analysis	analysis	NOUN
cana-1581	162	27	issn	issn	NOUN
cana-1581	162	28	:	:	PUNCT
cana-1581	162	29	1074	1074	NUM
cana-1581	162	30	-	-	PUNCT
cana-1581	162	31	133x	133x	NUM
cana-1581	162	32	vol	vol	NOUN
cana-1581	162	33	31	31	NUM
cana-1581	162	34	no	no	NOUN
cana-1581	162	35	.	.	PUNCT
cana-1581	163	1	8s	8s	PROPN
cana-1581	163	2	(	(	PUNCT
cana-1581	163	3	2024	2024	NUM
cana-1581	163	4	)	)	PUNCT
cana-1581	163	5	723	723	NUM
cana-1581	163	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1581	164	1	[	[	X
cana-1581	164	2	29	29	NUM
cana-1581	164	3	]	]	PUNCT
cana-1581	164	4	flow	flow	NOUN
cana-1581	164	5	and	and	CCONJ
cana-1581	164	6	heat	heat	NOUN
cana-1581	164	7	transfer	transfer	NOUN
cana-1581	164	8	characteristics	characteristic	NOUN
cana-1581	164	9	of	of	ADP
cana-1581	164	10	a	a	DET
cana-1581	164	11	couple	couple	NOUN
cana-1581	164	12	stress	stress	NOUN
cana-1581	164	13	fluid	fluid	NOUN
cana-1581	164	14	over	over	ADP
cana-1581	164	15	an	an	DET
cana-1581	164	16	exponentially	exponentially	ADV
cana-1581	164	17	stretching	stretch	VERB
cana-1581	164	18	sheet	sheet	NOUN
cana-1581	164	19	with	with	ADP
cana-1581	164	20	variable	variable	ADJ
cana-1581	164	21	thermal	thermal	ADJ
cana-1581	164	22	conductivity	conductivity	NOUN
cana-1581	164	23	by	by	ADP
cana-1581	164	24	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	164	25	(	(	PUNCT
cana-1581	164	26	2018	2018	NUM
cana-1581	164	27	)	)	PUNCT
cana-1581	165	1	[	[	X
cana-1581	165	2	30	30	NUM
cana-1581	165	3	]	]	PUNCT
cana-1581	165	4	flows	flow	NOUN
cana-1581	165	5	of	of	ADP
cana-1581	165	6	a	a	DET
cana-1581	165	7	couple	couple	NOUN
cana-1581	165	8	stress	stress	NOUN
cana-1581	165	9	fluid	fluid	NOUN
cana-1581	165	10	due	due	ADP
cana-1581	165	11	to	to	ADP
cana-1581	165	12	a	a	DET
cana-1581	165	13	continuously	continuously	ADV
cana-1581	165	14	stretching	stretch	VERB
cana-1581	165	15	porous	porous	ADJ
cana-1581	165	16	sheet	sheet	NOUN
cana-1581	165	17	with	with	ADP
cana-1581	165	18	heat	heat	NOUN
cana-1581	165	19	transfer	transfer	NOUN
cana-1581	165	20	by	by	ADP
cana-1581	165	21	sharma	sharma	PROPN
cana-1581	165	22	and	and	CCONJ
cana-1581	165	23	kumar	kumar	PROPN
cana-1581	165	24	(	(	PUNCT
cana-1581	165	25	2013	2013	NUM
cana-1581	165	26	)	)	PUNCT
cana-1581	166	1	[	[	X
cana-1581	166	2	31	31	NUM
cana-1581	166	3	]	]	PUNCT
cana-1581	166	4	flows	flow	NOUN
cana-1581	166	5	of	of	ADP
cana-1581	166	6	a	a	DET
cana-1581	166	7	couple	couple	NOUN
cana-1581	166	8	stress	stress	NOUN
cana-1581	166	9	fluid	fluid	NOUN
cana-1581	166	10	past	past	ADP
cana-1581	166	11	a	a	DET
cana-1581	166	12	sphere	sphere	NOUN
cana-1581	166	13	by	by	ADP
cana-1581	166	14	wang	wang	PROPN
cana-1581	166	15	(	(	PUNCT
cana-1581	166	16	2012	2012	NUM
cana-1581	166	17	)	)	PUNCT
cana-1581	167	1	[	[	X
cana-1581	167	2	32	32	NUM
cana-1581	167	3	]	]	PUNCT
cana-1581	167	4	heat	heat	NOUN
cana-1581	167	5	transfer	transfer	NOUN
cana-1581	167	6	analysis	analysis	NOUN
cana-1581	167	7	of	of	ADP
cana-1581	167	8	couple	couple	NOUN
cana-1581	167	9	stress	stress	NOUN
cana-1581	167	10	fluid	fluid	NOUN
cana-1581	167	11	flow	flow	NOUN
cana-1581	167	12	past	past	ADP
cana-1581	167	13	a	a	DET
cana-1581	167	14	porous	porous	ADJ
cana-1581	167	15	stretching	stretching	NOUN
cana-1581	167	16	plate	plate	NOUN
cana-1581	167	17	with	with	ADP
cana-1581	167	18	convective	convective	ADJ
cana-1581	167	19	boundary	boundary	ADJ
cana-1581	167	20	condition	condition	NOUN
cana-1581	167	21	by	by	ADP
cana-1581	167	22	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	167	23	(	(	PUNCT
cana-1581	167	24	2014	2014	NUM
cana-1581	167	25	)	)	PUNCT
cana-1581	168	1	[	[	X
cana-1581	168	2	33	33	NUM
cana-1581	168	3	]	]	PUNCT
cana-1581	168	4	heat	heat	NOUN
cana-1581	168	5	transfer	transfer	NOUN
cana-1581	168	6	analysis	analysis	NOUN
cana-1581	168	7	of	of	ADP
cana-1581	168	8	mhd	mhd	NOUN
cana-1581	168	9	couple	couple	NOUN
cana-1581	168	10	stress	stress	NOUN
cana-1581	168	11	fluid	fluid	NOUN
cana-1581	168	12	flow	flow	NOUN
cana-1581	168	13	over	over	ADP
cana-1581	168	14	a	a	DET
cana-1581	168	15	permeable	permeable	ADJ
cana-1581	168	16	stretching	stretching	NOUN
cana-1581	168	17	sheet	sheet	NOUN
cana-1581	168	18	with	with	ADP
cana-1581	168	19	suction	suction	NOUN
cana-1581	168	20	/	/	SYM
cana-1581	168	21	injection	injection	NOUN
cana-1581	168	22	by	by	ADP
cana-1581	168	23	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	168	24	(	(	PUNCT
cana-1581	168	25	2013	2013	NUM
cana-1581	168	26	):	):	PUNCT
cana-1581	168	27	[	[	X
cana-1581	168	28	34	34	NUM
cana-1581	168	29	]	]	PUNCT
cana-1581	168	30	instability	instability	NOUN
cana-1581	168	31	of	of	ADP
cana-1581	168	32	flow	flow	NOUN
cana-1581	168	33	of	of	ADP
cana-1581	168	34	a	a	DET
cana-1581	168	35	couple	couple	NOUN
cana-1581	168	36	stress	stress	NOUN
cana-1581	168	37	fluid	fluid	NOUN
cana-1581	168	38	through	through	ADP
cana-1581	168	39	a	a	DET
cana-1581	168	40	porous	porous	ADJ
cana-1581	168	41	medium	medium	NOUN
cana-1581	168	42	by	by	ADP
cana-1581	168	43	srinivas	srinivas	PROPN
cana-1581	168	44	and	and	CCONJ
cana-1581	168	45	raju	raju	PROPN
cana-1581	168	46	(	(	PUNCT
cana-1581	168	47	2016	2016	NUM
cana-1581	168	48	):	):	PUNCT
cana-1581	168	49	[	[	X
cana-1581	168	50	35	35	NUM
cana-1581	168	51	]	]	X
cana-1581	168	52	mixed	mixed	ADJ
cana-1581	168	53	convection	convection	NOUN
cana-1581	168	54	flow	flow	NOUN
cana-1581	168	55	of	of	ADP
cana-1581	168	56	a	a	DET
cana-1581	168	57	couple	couple	NOUN
cana-1581	168	58	stress	stress	NOUN
cana-1581	168	59	fluid	fluid	NOUN
cana-1581	168	60	over	over	ADP
cana-1581	168	61	a	a	DET
cana-1581	168	62	heated	heated	ADJ
cana-1581	168	63	vertical	vertical	ADJ
cana-1581	168	64	plate	plate	NOUN
cana-1581	168	65	with	with	ADP
cana-1581	168	66	uniform	uniform	ADJ
cana-1581	168	67	surface	surface	NOUN
cana-1581	168	68	heat	heat	NOUN
cana-1581	168	69	flux	flux	NOUN
cana-1581	168	70	by	by	ADP
cana-1581	168	71	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	168	72	(	(	PUNCT
cana-1581	168	73	2015	2015	NUM
cana-1581	168	74	)	)	PUNCT
cana-1581	169	1	[	[	X
cana-1581	169	2	36	36	NUM
cana-1581	169	3	]	]	X
cana-1581	169	4	mixed	mixed	ADJ
cana-1581	169	5	convection	convection	NOUN
cana-1581	169	6	flow	flow	NOUN
cana-1581	169	7	of	of	ADP
cana-1581	169	8	a	a	DET
cana-1581	169	9	couple	couple	NOUN
cana-1581	169	10	stress	stress	NOUN
cana-1581	169	11	fluid	fluid	NOUN
cana-1581	169	12	over	over	ADP
cana-1581	169	13	a	a	DET
cana-1581	169	14	vertical	vertical	ADJ
cana-1581	169	15	plate	plate	NOUN
cana-1581	169	16	with	with	ADP
cana-1581	169	17	internal	internal	ADJ
cana-1581	169	18	heat	heat	NOUN
cana-1581	169	19	generation	generation	NOUN
cana-1581	169	20	by	by	ADP
cana-1581	169	21	khan	khan	PROPN
cana-1581	169	22	et	et	PROPN
cana-1581	169	23	al	al	PROPN
cana-1581	169	24	.	.	PROPN
cana-1581	170	1	(	(	PUNCT
cana-1581	170	2	2015	2015	NUM
cana-1581	170	3	)	)	PUNCT
cana-1581	171	1	[	[	X
cana-1581	171	2	37	37	NUM
cana-1581	171	3	]	]	X
cana-1581	171	4	natural	natural	ADJ
cana-1581	171	5	convection	convection	NOUN
cana-1581	171	6	flow	flow	NOUN
cana-1581	171	7	of	of	ADP
cana-1581	171	8	a	a	DET
cana-1581	171	9	couple	couple	NOUN
cana-1581	171	10	stress	stress	NOUN
cana-1581	171	11	fluid	fluid	NOUN
cana-1581	171	12	along	along	ADP
cana-1581	171	13	a	a	DET
cana-1581	171	14	vertical	vertical	ADJ
cana-1581	171	15	wavy	wavy	ADJ
cana-1581	171	16	surface	surface	NOUN
cana-1581	171	17	by	by	ADP
cana-1581	171	18	rahman	rahman	PROPN
cana-1581	171	19	and	and	CCONJ
cana-1581	171	20	khan	khan	PROPN
cana-1581	171	21	(	(	PUNCT
cana-1581	171	22	2016	2016	NUM
cana-1581	171	23	)	)	PUNCT
cana-1581	172	1	[	[	X
cana-1581	172	2	38	38	NUM
cana-1581	172	3	]	]	PUNCT
cana-1581	172	4	natural	natural	ADJ
cana-1581	172	5	convection	convection	NOUN
cana-1581	172	6	flow	flow	NOUN
cana-1581	172	7	of	of	ADP
cana-1581	172	8	a	a	DET
cana-1581	172	9	couple	couple	NOUN
cana-1581	172	10	stress	stress	NOUN
cana-1581	172	11	fluid	fluid	NOUN
cana-1581	172	12	confined	confine	VERB
cana-1581	172	13	in	in	ADP
cana-1581	172	14	a	a	DET
cana-1581	172	15	horizontal	horizontal	ADJ
cana-1581	172	16	porous	porous	ADJ
cana-1581	172	17	layer	layer	NOUN
cana-1581	172	18	with	with	ADP
cana-1581	172	19	internal	internal	ADJ
cana-1581	172	20	heat	heat	NOUN
cana-1581	172	21	generation	generation	NOUN
cana-1581	172	22	by	by	ADP
cana-1581	172	23	singh	singh	PROPN
cana-1581	172	24	and	and	CCONJ
cana-1581	172	25	kumar	kumar	PROPN
cana-1581	172	26	(	(	PUNCT
cana-1581	172	27	2017	2017	NUM
cana-1581	172	28	)	)	PUNCT
cana-1581	173	1	[	[	X
cana-1581	173	2	39	39	NUM
cana-1581	173	3	]	]	PUNCT
cana-1581	173	4	numerical	numerical	PROPN
cana-1581	173	5	simulation	simulation	NOUN
cana-1581	173	6	of	of	ADP
cana-1581	173	7	couple	couple	NOUN
cana-1581	173	8	stress	stress	NOUN
cana-1581	173	9	fluid	fluid	NOUN
cana-1581	173	10	flow	flow	NOUN
cana-1581	173	11	past	past	ADP
cana-1581	173	12	a	a	DET
cana-1581	173	13	circular	circular	ADJ
cana-1581	173	14	cylinder	cylinder	NOUN
cana-1581	173	15	by	by	ADP
cana-1581	173	16	li	li	PROPN
cana-1581	173	17	et	et	PROPN
cana-1581	173	18	al	al	PROPN
cana-1581	173	19	.	.	PROPN
cana-1581	174	1	(	(	PUNCT
cana-1581	174	2	2013	2013	NUM
cana-1581	174	3	):	):	PUNCT
cana-1581	174	4	[	[	X
cana-1581	174	5	40	40	NUM
cana-1581	174	6	]	]	X
cana-1581	174	7	numerical	numerical	PROPN
cana-1581	174	8	simulation	simulation	NOUN
cana-1581	174	9	of	of	ADP
cana-1581	174	10	flow	flow	NOUN
cana-1581	174	11	of	of	ADP
cana-1581	174	12	a	a	DET
cana-1581	174	13	couple	couple	NOUN
cana-1581	174	14	stress	stress	NOUN
cana-1581	174	15	fluid	fluid	NOUN
cana-1581	174	16	past	past	ADP
cana-1581	174	17	a	a	DET
cana-1581	174	18	sphere	sphere	NOUN
cana-1581	174	19	by	by	ADP
cana-1581	174	20	mandal	mandal	PROPN
cana-1581	174	21	and	and	CCONJ
cana-1581	174	22	kumar	kumar	PROPN
cana-1581	174	23	(	(	PUNCT
cana-1581	174	24	2004	2004	NUM
cana-1581	174	25	):	):	PUNCT
cana-1581	175	1	[	[	X
cana-1581	175	2	41	41	NUM
cana-1581	175	3	]	]	X
cana-1581	175	4	numerical	numerical	PROPN
cana-1581	175	5	simulation	simulation	NOUN
cana-1581	175	6	of	of	ADP
cana-1581	175	7	unsteady	unsteady	ADJ
cana-1581	175	8	flow	flow	NOUN
cana-1581	175	9	of	of	ADP
cana-1581	175	10	a	a	DET
cana-1581	175	11	couple	couple	NOUN
cana-1581	175	12	stress	stress	NOUN
cana-1581	175	13	fluid	fluid	NOUN
cana-1581	175	14	past	past	ADP
cana-1581	175	15	a	a	DET
cana-1581	175	16	circular	circular	ADJ
cana-1581	175	17	cylinder	cylinder	NOUN
cana-1581	175	18	by	by	ADP
cana-1581	175	19	mandal	mandal	PROPN
cana-1581	175	20	and	and	CCONJ
cana-1581	175	21	kumar	kumar	PROPN
cana-1581	175	22	(	(	PUNCT
cana-1581	175	23	2007	2007	NUM
cana-1581	175	24	)	)	PUNCT
cana-1581	176	1	[	[	X
cana-1581	176	2	42	42	NUM
cana-1581	176	3	]	]	SYM
cana-1581	176	4	onset	onset	NOUN
cana-1581	176	5	of	of	ADP
cana-1581	176	6	convection	convection	NOUN
cana-1581	176	7	in	in	ADP
cana-1581	176	8	a	a	DET
cana-1581	176	9	couple	couple	NOUN
cana-1581	176	10	stress	stress	NOUN
cana-1581	176	11	fluid	fluid	NOUN
cana-1581	176	12	layer	layer	NOUN
cana-1581	176	13	heated	heat	VERB
cana-1581	176	14	from	from	ADP
cana-1581	176	15	below	below	ADV
cana-1581	176	16	by	by	ADP
cana-1581	176	17	chandrasekhar	chandrasekhar	PROPN
cana-1581	176	18	(	(	PUNCT
cana-1581	176	19	1964	1964	NUM
cana-1581	176	20	):	):	PUNCT
cana-1581	177	1	[	[	X
cana-1581	177	2	43	43	NUM
cana-1581	177	3	]	]	PUNCT
cana-1581	177	4	slip	slip	NOUN
cana-1581	177	5	flow	flow	NOUN
cana-1581	177	6	of	of	ADP
cana-1581	177	7	a	a	DET
cana-1581	177	8	couple	couple	NOUN
cana-1581	177	9	stress	stress	NOUN
cana-1581	177	10	fluid	fluid	NOUN
cana-1581	177	11	over	over	ADP
cana-1581	177	12	a	a	DET
cana-1581	177	13	stretching	stretch	VERB
cana-1581	177	14	sheet	sheet	NOUN
cana-1581	177	15	with	with	ADP
cana-1581	177	16	suction	suction	NOUN
cana-1581	177	17	or	or	CCONJ
cana-1581	177	18	blowing	blow	VERB
cana-1581	177	19	by	by	ADP
cana-1581	177	20	mukhopadhyay	mukhopadhyay	NOUN
cana-1581	177	21	(	(	PUNCT
cana-1581	177	22	2015	2015	NUM
cana-1581	177	23	)	)	PUNCT
cana-1581	178	1	[	[	X
cana-1581	178	2	44	44	NUM
cana-1581	178	3	]	]	SYM
cana-1581	178	4	stability	stability	NOUN
cana-1581	178	5	of	of	ADP
cana-1581	178	6	couple	couple	NOUN
cana-1581	178	7	stress	stress	NOUN
cana-1581	178	8	fluid	fluid	NOUN
cana-1581	178	9	flows	flow	NOUN
cana-1581	178	10	by	by	ADP
cana-1581	178	11	straughan	straughan	PROPN
cana-1581	178	12	(	(	PUNCT
cana-1581	178	13	2004	2004	NUM
cana-1581	178	14	):	):	PUNCT
cana-1581	179	1	[	[	X
cana-1581	179	2	45	45	NUM
cana-1581	179	3	]	]	PUNCT
cana-1581	179	4	elastohydrodynamic	elastohydrodynamic	ADJ
cana-1581	179	5	lubrication	lubrication	NOUN
cana-1581	179	6	theory	theory	NOUN
cana-1581	179	7	of	of	ADP
cana-1581	179	8	line	line	NOUN
cana-1581	179	9	contacts	contact	NOUN
cana-1581	179	10	:	:	PUNCT
cana-1581	179	11	couple	couple	NOUN
cana-1581	179	12	stress	stress	ADJ
cana-1581	179	13	fluid	fluid	NOUN
cana-1581	179	14	model	model	NOUN
cana-1581	179	15	by	by	ADP
cana-1581	179	16	gupta	gupta	PROPN
cana-1581	179	17	and	and	CCONJ
cana-1581	179	18	kumar	kumar	PROPN
cana-1581	179	19	(	(	PUNCT
cana-1581	179	20	1997	1997	NUM
cana-1581	179	21	)	)	PUNCT
cana-1581	180	1	[	[	X
cana-1581	180	2	46	46	NUM
cana-1581	180	3	]	]	X
cana-1581	180	4	analytical	analytical	ADJ
cana-1581	180	5	solutions	solution	NOUN
cana-1581	180	6	of	of	ADP
cana-1581	180	7	incompressible	incompressible	ADJ
cana-1581	180	8	couple	couple	NOUN
cana-1581	180	9	stress	stress	NOUN
cana-1581	180	10	fluid	fluid	NOUN
cana-1581	180	11	flows	flow	NOUN
cana-1581	180	12	by	by	ADP
cana-1581	180	13	a.j	a.j	PROPN
cana-1581	180	14	.	.	PROPN
cana-1581	180	15	chamkha	chamkha	PROPN
cana-1581	180	16	et	et	PROPN
cana-1581	180	17	al	al	PROPN
cana-1581	180	18	.	.	PROPN
cana-1581	180	19	(	(	PUNCT
cana-1581	180	20	2017	2017	NUM
cana-1581	180	21	)	)	PUNCT
cana-1581	180	22	.	.	PUNCT
cana-1581	181	1	[	[	X
cana-1581	181	2	47	47	NUM
cana-1581	181	3	]	]	X
cana-1581	181	4	comparative	comparative	ADJ
cana-1581	181	5	study	study	NOUN
cana-1581	181	6	of	of	ADP
cana-1581	181	7	generalized	generalized	ADJ
cana-1581	181	8	couette	couette	NOUN
cana-1581	181	9	flow	flow	NOUN
cana-1581	181	10	of	of	ADP
cana-1581	181	11	couple	couple	NOUN
cana-1581	181	12	stress	stress	NOUN
cana-1581	181	13	fluid	fluid	NOUN
cana-1581	181	14	using	use	VERB
cana-1581	181	15	optimal	optimal	ADJ
cana-1581	181	16	homotopy	homotopy	NOUN
cana-1581	181	17	asymptotic	asymptotic	ADJ
cana-1581	181	18	method	method	NOUN
cana-1581	181	19	and	and	CCONJ
cana-1581	181	20	new	new	ADJ
cana-1581	181	21	iterative	iterative	NOUN
cana-1581	181	22	method	method	NOUN
cana-1581	181	23	by	by	ADP
cana-1581	181	24	m.a	m.a	PROPN
cana-1581	181	25	.	.	PROPN
cana-1581	181	26	khan	khan	PROPN
cana-1581	181	27	et	et	PROPN
cana-1581	181	28	al	al	PROPN
cana-1581	181	29	.	.	PROPN
cana-1581	182	1	(	(	PUNCT
cana-1581	182	2	2021	2021	NUM
cana-1581	182	3	)	)	PUNCT
cana-1581	183	1	[	[	X
cana-1581	183	2	48	48	NUM
cana-1581	183	3	]	]	PUNCT
cana-1581	183	4	hydromagnetic	hydromagnetic	ADJ
cana-1581	183	5	flow	flow	NOUN
cana-1581	183	6	of	of	ADP
cana-1581	183	7	two	two	NUM
cana-1581	183	8	immiscible	immiscible	ADJ
cana-1581	183	9	couple	couple	NOUN
cana-1581	183	10	stress	stress	NOUN
cana-1581	183	11	fluids	fluid	NOUN
cana-1581	183	12	through	through	ADP
cana-1581	183	13	porous	porous	ADJ
cana-1581	183	14	medium	medium	NOUN
cana-1581	183	15	in	in	ADP
cana-1581	183	16	a	a	DET
cana-1581	183	17	cylindrical	cylindrical	ADJ
cana-1581	183	18	pipe	pipe	NOUN
cana-1581	183	19	with	with	ADP
cana-1581	183	20	slip	slip	NOUN
cana-1581	183	21	effect	effect	NOUN
cana-1581	183	22	by	by	ADP
cana-1581	183	23	m.	m.	PROPN
cana-1581	183	24	ijaz	ijaz	PROPN
cana-1581	183	25	et	et	PROPN
cana-1581	183	26	al	al	PROPN
cana-1581	183	27	.	.	PROPN
cana-1581	183	28	(	(	PUNCT
cana-1581	183	29	2023	2023	NUM
cana-1581	183	30	)	)	PUNCT
cana-1581	183	31	.	.	PUNCT
cana-1581	184	1	[	[	X
cana-1581	184	2	49	49	NUM
cana-1581	184	3	]	]	PUNCT
cana-1581	184	4	flow	flow	NOUN
cana-1581	184	5	of	of	ADP
cana-1581	184	6	two	two	NUM
cana-1581	184	7	immiscible	immiscible	ADJ
cana-1581	184	8	couple	couple	NOUN
cana-1581	184	9	stress	stress	NOUN
cana-1581	184	10	fluids	fluid	NOUN
cana-1581	184	11	between	between	ADP
cana-1581	184	12	two	two	NUM
cana-1581	184	13	permeable	permeable	ADJ
cana-1581	184	14	beds	bed	NOUN
cana-1581	184	15	by	by	ADP
cana-1581	184	16	n.s	n.s	PROPN
cana-1581	184	17	.	.	PROPN
cana-1581	184	18	akbar	akbar	PROPN
cana-1581	184	19	et	et	PROPN
cana-1581	184	20	al	al	PROPN
cana-1581	184	21	.	.	PUNCT
cana-1581	185	1	(	(	PUNCT
cana-1581	185	2	2018	2018	NUM
cana-1581	185	3	)	)	PUNCT
cana-1581	185	4	.	.	PUNCT
cana-1581	186	1	[	[	X
cana-1581	186	2	50	50	NUM
cana-1581	186	3	]	]	PUNCT
cana-1581	186	4	stokes	stokes	PROPN
cana-1581	186	5	’	'	PUNCT
cana-1581	186	6	couple	couple	NOUN
cana-1581	186	7	stress	stress	NOUN
cana-1581	186	8	fluids	fluid	NOUN
cana-1581	186	9	:	:	PUNCT
cana-1581	186	10	mathematical	mathematical	ADJ
cana-1581	186	11	descriptions	description	NOUN
cana-1581	186	12	and	and	CCONJ
cana-1581	186	13	applications	application	NOUN
cana-1581	186	14	by	by	ADP
cana-1581	186	15	a.c	a.c	PROPN
cana-1581	186	16	.	.	PROPN
cana-1581	186	17	mcbride	mcbride	PROPN
cana-1581	186	18	(	(	PUNCT
cana-1581	186	19	2016	2016	NUM
cana-1581	186	20	)	)	PUNCT
cana-1581	186	21	.	.	PUNCT
cana-1581	187	1	[	[	X
cana-1581	187	2	51	51	NUM
cana-1581	187	3	]	]	PUNCT
cana-1581	187	4	theory	theory	NOUN
cana-1581	187	5	of	of	ADP
cana-1581	187	6	elasticity	elasticity	NOUN
cana-1581	187	7	for	for	ADP
cana-1581	187	8	microstructured	microstructured	ADJ
cana-1581	187	9	solids	solid	NOUN
cana-1581	187	10	by	by	ADP
cana-1581	187	11	r.a	r.a	PROPN
cana-1581	187	12	.	.	PROPN
cana-1581	187	13	toupin	toupin	PROPN
cana-1581	187	14	(	(	PUNCT
cana-1581	187	15	1964	1964	NUM
cana-1581	187	16	)	)	PUNCT
cana-1581	187	17	.	.	PUNCT
cana-1581	188	1	[	[	X
cana-1581	188	2	52	52	NUM
cana-1581	188	3	]	]	PUNCT
cana-1581	188	4	flows	flow	NOUN
cana-1581	188	5	of	of	ADP
cana-1581	188	6	anisotropic	anisotropic	NOUN
cana-1581	188	7	fluids	fluid	NOUN
cana-1581	188	8	by	by	ADP
cana-1581	188	9	g.	g.	PROPN
cana-1581	188	10	leal	leal	PROPN
cana-1581	188	11	(	(	PUNCT
cana-1581	188	12	1976	1976	NUM
cana-1581	188	13	)	)	PUNCT
cana-1581	188	14	.	.	PUNCT