id	sid	tid	token	lemma	pos
ap-5399	1	1	acta	acta	PROPN
ap-5399	1	2	polytechnica	polytechnica	PROPN
ap-5399	1	3	doi:10.14311	doi:10.14311	PROPN
ap-5399	1	4	/	/	SYM
ap-5399	1	5	ap.2019.59.0411	ap.2019.59.0411	PROPN
ap-5399	1	6	acta	acta	PROPN
ap-5399	1	7	polytechnica	polytechnica	PROPN
ap-5399	1	8	59(4):411–422	59(4):411–422	NUM
ap-5399	1	9	,	,	PUNCT
ap-5399	1	10	2019	2019	NUM
ap-5399	1	11	©	©	PROPN
ap-5399	1	12	czech	czech	PROPN
ap-5399	1	13	technical	technical	PROPN
ap-5399	1	14	university	university	PROPN
ap-5399	1	15	in	in	ADP
ap-5399	1	16	prague	prague	PROPN
ap-5399	1	17	,	,	PUNCT
ap-5399	1	18	2019	2019	NUM
ap-5399	1	19	available	available	ADJ
ap-5399	1	20	online	online	ADV
ap-5399	1	21	at	at	ADP
ap-5399	1	22	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5399	1	23	heat	heat	NOUN
ap-5399	1	24	flux	flux	NOUN
ap-5399	1	25	jump	jump	NOUN
ap-5399	1	26	method	method	NOUN
ap-5399	1	27	as	as	ADP
ap-5399	1	28	a	a	DET
ap-5399	1	29	possibility	possibility	NOUN
ap-5399	1	30	of	of	ADP
ap-5399	1	31	contactless	contactless	ADJ
ap-5399	1	32	measurement	measurement	NOUN
ap-5399	1	33	of	of	ADP
ap-5399	1	34	local	local	ADJ
ap-5399	1	35	heat	heat	NOUN
ap-5399	1	36	transfer	transfer	NOUN
ap-5399	1	37	coefficients	coefficient	NOUN
ap-5399	1	38	stanislav	stanislav	PROPN
ap-5399	1	39	solnař∗	solnař∗	PROPN
ap-5399	1	40	,	,	PUNCT
ap-5399	1	41	martin	martin	PROPN
ap-5399	1	42	dostál	dostál	PROPN
ap-5399	1	43	czech	czech	PROPN
ap-5399	1	44	technical	technical	PROPN
ap-5399	1	45	university	university	PROPN
ap-5399	1	46	in	in	ADP
ap-5399	1	47	prague	prague	PROPN
ap-5399	1	48	,	,	PUNCT
ap-5399	1	49	faculty	faculty	NOUN
ap-5399	1	50	of	of	ADP
ap-5399	1	51	mechanical	mechanical	ADJ
ap-5399	1	52	engineering	engineering	NOUN
ap-5399	1	53	,	,	PUNCT
ap-5399	1	54	department	department	NOUN
ap-5399	1	55	of	of	ADP
ap-5399	1	56	process	process	NOUN
ap-5399	1	57	engineering	engineering	NOUN
ap-5399	1	58	,	,	PUNCT
ap-5399	1	59	technická	technická	NOUN
ap-5399	1	60	4	4	NUM
ap-5399	1	61	,	,	PUNCT
ap-5399	1	62	166	166	NUM
ap-5399	1	63	07	07	NUM
ap-5399	1	64	prague	prague	NOUN
ap-5399	1	65	,	,	PUNCT
ap-5399	1	66	czech	czech	PROPN
ap-5399	1	67	republic	republic	NOUN
ap-5399	1	68	∗	∗	NOUN
ap-5399	1	69	corresponding	correspond	VERB
ap-5399	1	70	author	author	NOUN
ap-5399	1	71	:	:	PUNCT
ap-5399	1	72	stanislav.solnar@fs.cvut.cz	stanislav.solnar@fs.cvut.cz	NOUN
ap-5399	1	73	abstract	abstract	NOUN
ap-5399	1	74	.	.	PUNCT
ap-5399	2	1	this	this	DET
ap-5399	2	2	article	article	NOUN
ap-5399	2	3	deals	deal	VERB
ap-5399	2	4	with	with	ADP
ap-5399	2	5	the	the	DET
ap-5399	2	6	derivation	derivation	NOUN
ap-5399	2	7	of	of	ADP
ap-5399	2	8	the	the	DET
ap-5399	2	9	temperature	temperature	NOUN
ap-5399	2	10	response	response	NOUN
ap-5399	2	11	of	of	ADP
ap-5399	2	12	the	the	DET
ap-5399	2	13	finite	finite	PROPN
ap-5399	2	14	thickness	thickness	PROPN
ap-5399	2	15	wall	wall	PROPN
ap-5399	2	16	,	,	PUNCT
ap-5399	2	17	which	which	PRON
ap-5399	2	18	is	be	AUX
ap-5399	2	19	heated	heat	VERB
ap-5399	2	20	by	by	ADP
ap-5399	2	21	heat	heat	NOUN
ap-5399	2	22	flow	flow	NOUN
ap-5399	2	23	,	,	PUNCT
ap-5399	2	24	as	as	ADP
ap-5399	2	25	a	a	DET
ap-5399	2	26	possibility	possibility	NOUN
ap-5399	2	27	to	to	PART
ap-5399	2	28	measure	measure	VERB
ap-5399	2	29	the	the	DET
ap-5399	2	30	local	local	ADJ
ap-5399	2	31	values	value	NOUN
ap-5399	2	32	of	of	ADP
ap-5399	2	33	the	the	DET
ap-5399	2	34	heat	heat	NOUN
ap-5399	2	35	transfer	transfer	NOUN
ap-5399	2	36	coefficient	coefficient	NOUN
ap-5399	2	37	with	with	ADP
ap-5399	2	38	a	a	DET
ap-5399	2	39	very	very	ADV
ap-5399	2	40	high	high	ADJ
ap-5399	2	41	spatial	spatial	ADJ
ap-5399	2	42	resolution	resolution	NOUN
ap-5399	2	43	.	.	PUNCT
ap-5399	3	1	in	in	ADP
ap-5399	3	2	addition	addition	NOUN
ap-5399	3	3	to	to	ADP
ap-5399	3	4	its	its	PRON
ap-5399	3	5	own	own	ADJ
ap-5399	3	6	experimental	experimental	ADJ
ap-5399	3	7	measurement	measurement	NOUN
ap-5399	3	8	technique	technique	NOUN
ap-5399	3	9	,	,	PUNCT
ap-5399	3	10	it	it	PRON
ap-5399	3	11	is	be	AUX
ap-5399	3	12	also	also	ADV
ap-5399	3	13	possible	possible	ADJ
ap-5399	3	14	to	to	PART
ap-5399	3	15	use	use	VERB
ap-5399	3	16	this	this	DET
ap-5399	3	17	derivation	derivation	NOUN
ap-5399	3	18	to	to	PART
ap-5399	3	19	describe	describe	VERB
ap-5399	3	20	the	the	DET
ap-5399	3	21	gradual	gradual	ADJ
ap-5399	3	22	heating	heating	NOUN
ap-5399	3	23	of	of	ADP
ap-5399	3	24	the	the	DET
ap-5399	3	25	wall	wall	NOUN
ap-5399	3	26	while	while	SCONJ
ap-5399	3	27	using	use	VERB
ap-5399	3	28	the	the	DET
ap-5399	3	29	temperature	temperature	NOUN
ap-5399	3	30	oscillation	oscillation	NOUN
ap-5399	3	31	(	(	PUNCT
ap-5399	3	32	toirt	toirt	ADJ
ap-5399	3	33	)	)	PUNCT
ap-5399	3	34	method	method	NOUN
ap-5399	3	35	for	for	ADP
ap-5399	3	36	the	the	DET
ap-5399	3	37	heat	heat	NOUN
ap-5399	3	38	transfer	transfer	NOUN
ap-5399	3	39	measurement	measurement	NOUN
ap-5399	3	40	.	.	PUNCT
ap-5399	4	1	the	the	DET
ap-5399	4	2	system	system	NOUN
ap-5399	4	3	of	of	ADP
ap-5399	4	4	the	the	DET
ap-5399	4	5	partial	partial	ADJ
ap-5399	4	6	differential	differential	NOUN
ap-5399	4	7	equations	equation	NOUN
ap-5399	4	8	and	and	CCONJ
ap-5399	4	9	the	the	DET
ap-5399	4	10	boundary	boundary	ADJ
ap-5399	4	11	and	and	CCONJ
ap-5399	4	12	initial	initial	ADJ
ap-5399	4	13	conditions	condition	NOUN
ap-5399	4	14	is	be	AUX
ap-5399	4	15	solved	solve	VERB
ap-5399	4	16	by	by	ADP
ap-5399	4	17	a	a	DET
ap-5399	4	18	transformation	transformation	NOUN
ap-5399	4	19	into	into	ADP
ap-5399	4	20	laplace	laplace	NOUN
ap-5399	4	21	’s	’s	PART
ap-5399	4	22	space	space	NOUN
ap-5399	4	23	,	,	PUNCT
ap-5399	4	24	where	where	SCONJ
ap-5399	4	25	the	the	DET
ap-5399	4	26	task	task	NOUN
ap-5399	4	27	is	be	AUX
ap-5399	4	28	easier	easy	ADJ
ap-5399	4	29	to	to	PART
ap-5399	4	30	solve	solve	VERB
ap-5399	4	31	.	.	PUNCT
ap-5399	5	1	at	at	ADP
ap-5399	5	2	the	the	DET
ap-5399	5	3	end	end	NOUN
ap-5399	5	4	of	of	ADP
ap-5399	5	5	the	the	DET
ap-5399	5	6	article	article	NOUN
ap-5399	5	7	,	,	PUNCT
ap-5399	5	8	the	the	DET
ap-5399	5	9	results	result	NOUN
ap-5399	5	10	of	of	ADP
ap-5399	5	11	the	the	DET
ap-5399	5	12	analytical	analytical	ADJ
ap-5399	5	13	solution	solution	NOUN
ap-5399	5	14	are	be	AUX
ap-5399	5	15	compared	compare	VERB
ap-5399	5	16	with	with	ADP
ap-5399	5	17	a	a	DET
ap-5399	5	18	numerical	numerical	ADJ
ap-5399	5	19	solution	solution	NOUN
ap-5399	5	20	of	of	ADP
ap-5399	5	21	this	this	DET
ap-5399	5	22	problem	problem	NOUN
ap-5399	5	23	.	.	PUNCT
ap-5399	6	1	keywords	keyword	NOUN
ap-5399	6	2	:	:	PUNCT
ap-5399	6	3	heaviside	heaviside	ADJ
ap-5399	6	4	function	function	NOUN
ap-5399	6	5	,	,	PUNCT
ap-5399	6	6	heat	heat	NOUN
ap-5399	6	7	transfer	transfer	NOUN
ap-5399	6	8	coefficient	coefficient	NOUN
ap-5399	6	9	,	,	PUNCT
ap-5399	6	10	experimental	experimental	ADJ
ap-5399	6	11	method	method	NOUN
ap-5399	6	12	,	,	PUNCT
ap-5399	6	13	heat	heat	NOUN
ap-5399	6	14	jump	jump	NOUN
ap-5399	6	15	method	method	NOUN
ap-5399	6	16	.	.	PUNCT
ap-5399	7	1	1	1	X
ap-5399	7	2	.	.	X
ap-5399	7	3	introduction	introduction	NOUN
ap-5399	7	4	when	when	SCONJ
ap-5399	7	5	designing	design	VERB
ap-5399	7	6	heat	heat	NOUN
ap-5399	7	7	transfer	transfer	NOUN
ap-5399	7	8	devices	device	NOUN
ap-5399	7	9	,	,	PUNCT
ap-5399	7	10	the	the	DET
ap-5399	7	11	heat	heat	NOUN
ap-5399	7	12	transfer	transfer	NOUN
ap-5399	7	13	surface	surface	NOUN
ap-5399	7	14	is	be	AUX
ap-5399	7	15	a	a	DET
ap-5399	7	16	critical	critical	ADJ
ap-5399	7	17	parameter	parameter	NOUN
ap-5399	7	18	.	.	PUNCT
ap-5399	8	1	the	the	DET
ap-5399	8	2	size	size	NOUN
ap-5399	8	3	of	of	ADP
ap-5399	8	4	the	the	DET
ap-5399	8	5	heat	heat	NOUN
ap-5399	8	6	transfer	transfer	NOUN
ap-5399	8	7	surface	surface	NOUN
ap-5399	8	8	directly	directly	ADV
ap-5399	8	9	affects	affect	VERB
ap-5399	8	10	the	the	DET
ap-5399	8	11	amount	amount	NOUN
ap-5399	8	12	of	of	ADP
ap-5399	8	13	the	the	DET
ap-5399	8	14	heat	heat	NOUN
ap-5399	8	15	flow	flow	NOUN
ap-5399	8	16	passing	pass	VERB
ap-5399	8	17	through	through	ADP
ap-5399	8	18	these	these	DET
ap-5399	8	19	devices	device	NOUN
ap-5399	8	20	.	.	PUNCT
ap-5399	9	1	the	the	DET
ap-5399	9	2	relationship	relationship	NOUN
ap-5399	9	3	between	between	ADP
ap-5399	9	4	these	these	DET
ap-5399	9	5	variables	variable	NOUN
ap-5399	9	6	is	be	AUX
ap-5399	9	7	described	describe	VERB
ap-5399	9	8	by	by	ADP
ap-5399	9	9	newton	newton	PROPN
ap-5399	9	10	’s	’s	PART
ap-5399	9	11	law	law	NOUN
ap-5399	9	12	of	of	ADP
ap-5399	9	13	cooling	cool	VERB
ap-5399	9	14	q̇	q̇	NOUN
ap-5399	9	15	=	=	SYM
ap-5399	9	16	αs∆t	αs∆t	PROPN
ap-5399	9	17	.	.	PUNCT
ap-5399	10	1	(	(	PUNCT
ap-5399	10	2	1	1	X
ap-5399	10	3	)	)	PUNCT
ap-5399	10	4	the	the	DET
ap-5399	10	5	temperature	temperature	NOUN
ap-5399	10	6	difference	difference	NOUN
ap-5399	10	7	∆t	∆t	NOUN
ap-5399	10	8	is	be	AUX
ap-5399	10	9	mostly	mostly	ADV
ap-5399	10	10	given	give	VERB
ap-5399	10	11	by	by	ADP
ap-5399	10	12	the	the	DET
ap-5399	10	13	requirements	requirement	NOUN
ap-5399	10	14	(	(	PUNCT
ap-5399	10	15	depending	depend	VERB
ap-5399	10	16	on	on	ADP
ap-5399	10	17	the	the	DET
ap-5399	10	18	avaiable	avaiable	ADJ
ap-5399	10	19	steam	steam	NOUN
ap-5399	10	20	or	or	CCONJ
ap-5399	10	21	water	water	NOUN
ap-5399	10	22	temperature	temperature	NOUN
ap-5399	10	23	,	,	PUNCT
ap-5399	10	24	the	the	DET
ap-5399	10	25	maximum	maximum	ADJ
ap-5399	10	26	overheating	overheating	NOUN
ap-5399	10	27	in	in	ADP
ap-5399	10	28	the	the	DET
ap-5399	10	29	food	food	NOUN
ap-5399	10	30	industry	industry	NOUN
ap-5399	10	31	.	.	PUNCT
ap-5399	10	32	.	.	PUNCT
ap-5399	10	33	.	.	PUNCT
ap-5399	10	34	)	)	PUNCT
ap-5399	11	1	and	and	CCONJ
ap-5399	11	2	thus	thus	ADV
ap-5399	11	3	the	the	DET
ap-5399	11	4	only	only	ADJ
ap-5399	11	5	variable	variable	NOUN
ap-5399	11	6	that	that	PRON
ap-5399	11	7	can	can	AUX
ap-5399	11	8	affect	affect	VERB
ap-5399	11	9	the	the	DET
ap-5399	11	10	size	size	NOUN
ap-5399	11	11	of	of	ADP
ap-5399	11	12	the	the	DET
ap-5399	11	13	heat	heat	NOUN
ap-5399	11	14	transfer	transfer	NOUN
ap-5399	11	15	surface	surface	NOUN
ap-5399	11	16	s	s	NOUN
ap-5399	11	17	for	for	ADP
ap-5399	11	18	the	the	DET
ap-5399	11	19	desired	desire	VERB
ap-5399	11	20	heat	heat	NOUN
ap-5399	11	21	flux	flux	NOUN
ap-5399	11	22	q̇	q̇	PROPN
ap-5399	11	23	is	be	AUX
ap-5399	11	24	the	the	DET
ap-5399	11	25	heat	heat	NOUN
ap-5399	11	26	transfer	transfer	NOUN
ap-5399	11	27	coefficient	coefficient	NOUN
ap-5399	11	28	α	α	NOUN
ap-5399	11	29	.	.	PUNCT
ap-5399	12	1	the	the	DET
ap-5399	12	2	heat	heat	NOUN
ap-5399	12	3	transfer	transfer	NOUN
ap-5399	12	4	coefficient	coefficient	NOUN
ap-5399	12	5	represents	represent	VERB
ap-5399	12	6	the	the	DET
ap-5399	12	7	intensity	intensity	NOUN
ap-5399	12	8	of	of	ADP
ap-5399	12	9	the	the	DET
ap-5399	12	10	transferred	transfer	VERB
ap-5399	12	11	heat	heat	NOUN
ap-5399	12	12	and	and	CCONJ
ap-5399	12	13	is	be	AUX
ap-5399	12	14	dependent	dependent	ADJ
ap-5399	12	15	on	on	ADP
ap-5399	12	16	the	the	DET
ap-5399	12	17	properties	property	NOUN
ap-5399	12	18	of	of	ADP
ap-5399	12	19	the	the	DET
ap-5399	12	20	liquid	liquid	NOUN
ap-5399	12	21	and	and	CCONJ
ap-5399	12	22	,	,	PUNCT
ap-5399	12	23	above	above	ADP
ap-5399	12	24	all	all	PRON
ap-5399	12	25	,	,	PUNCT
ap-5399	12	26	the	the	DET
ap-5399	12	27	relative	relative	ADJ
ap-5399	12	28	speeds	speed	NOUN
ap-5399	12	29	of	of	ADP
ap-5399	12	30	the	the	DET
ap-5399	12	31	solid	solid	ADJ
ap-5399	12	32	wall	wall	NOUN
ap-5399	12	33	and	and	CCONJ
ap-5399	12	34	the	the	DET
ap-5399	12	35	fluid	fluid	NOUN
ap-5399	12	36	.	.	PUNCT
ap-5399	13	1	the	the	DET
ap-5399	13	2	heat	heat	NOUN
ap-5399	13	3	transfer	transfer	NOUN
ap-5399	13	4	coefficient	coefficient	NOUN
ap-5399	13	5	is	be	AUX
ap-5399	13	6	most	most	ADV
ap-5399	13	7	often	often	ADV
ap-5399	13	8	measured	measure	VERB
ap-5399	13	9	by	by	ADP
ap-5399	13	10	experiments	experiment	NOUN
ap-5399	13	11	,	,	PUNCT
ap-5399	13	12	or	or	CCONJ
ap-5399	13	13	in	in	ADP
ap-5399	13	14	the	the	DET
ap-5399	13	15	present	present	ADJ
ap-5399	13	16	time	time	NOUN
ap-5399	13	17	computer	computer	NOUN
ap-5399	13	18	-	-	PUNCT
ap-5399	13	19	aided	aid	VERB
ap-5399	13	20	by	by	ADP
ap-5399	13	21	numerical	numerical	ADJ
ap-5399	13	22	simulations	simulation	NOUN
ap-5399	13	23	,	,	PUNCT
ap-5399	13	24	which	which	PRON
ap-5399	13	25	,	,	PUNCT
ap-5399	13	26	however	however	ADV
ap-5399	13	27	,	,	PUNCT
ap-5399	13	28	need	need	VERB
ap-5399	13	29	an	an	DET
ap-5399	13	30	experimental	experimental	ADJ
ap-5399	13	31	(	(	PUNCT
ap-5399	13	32	or	or	CCONJ
ap-5399	13	33	theoretical	theoretical	ADJ
ap-5399	13	34	,	,	PUNCT
ap-5399	13	35	if	if	SCONJ
ap-5399	13	36	possible	possible	ADJ
ap-5399	13	37	)	)	PUNCT
ap-5399	13	38	validation	validation	NOUN
ap-5399	13	39	of	of	ADP
ap-5399	13	40	the	the	DET
ap-5399	13	41	calculated	calculate	VERB
ap-5399	13	42	data	datum	NOUN
ap-5399	13	43	.	.	PUNCT
ap-5399	14	1	the	the	DET
ap-5399	14	2	most	most	ADV
ap-5399	14	3	commonly	commonly	ADV
ap-5399	14	4	used	use	VERB
ap-5399	14	5	method	method	NOUN
ap-5399	14	6	for	for	ADP
ap-5399	14	7	measuring	measure	VERB
ap-5399	14	8	the	the	DET
ap-5399	14	9	heat	heat	NOUN
ap-5399	14	10	transfer	transfer	NOUN
ap-5399	14	11	coefficient	coefficient	NOUN
ap-5399	14	12	is	be	AUX
ap-5399	14	13	the	the	DET
ap-5399	14	14	static	static	ADJ
ap-5399	14	15	method	method	NOUN
ap-5399	14	16	of	of	ADP
ap-5399	14	17	measuring	measure	VERB
ap-5399	14	18	the	the	DET
ap-5399	14	19	wall	wall	NOUN
ap-5399	14	20	surface	surface	PROPN
ap-5399	14	21	temperature	temperature	NOUN
ap-5399	14	22	.	.	PUNCT
ap-5399	15	1	a	a	DET
ap-5399	15	2	thin	thin	ADJ
ap-5399	15	3	plate	plate	NOUN
ap-5399	15	4	or	or	CCONJ
ap-5399	15	5	foil	foil	NOUN
ap-5399	15	6	is	be	AUX
ap-5399	15	7	fixed	fix	VERB
ap-5399	15	8	in	in	ADP
ap-5399	15	9	place	place	NOUN
ap-5399	15	10	and	and	CCONJ
ap-5399	15	11	most	most	ADV
ap-5399	15	12	often	often	ADV
ap-5399	15	13	heated	heat	VERB
ap-5399	15	14	by	by	ADP
ap-5399	15	15	electric	electric	ADJ
ap-5399	15	16	current	current	NOUN
ap-5399	15	17	and	and	CCONJ
ap-5399	15	18	is	be	AUX
ap-5399	15	19	affected	affect	VERB
ap-5399	15	20	by	by	ADP
ap-5399	15	21	the	the	DET
ap-5399	15	22	convective	convective	ADJ
ap-5399	15	23	heat	heat	NOUN
ap-5399	15	24	transfer	transfer	NOUN
ap-5399	15	25	we	we	PRON
ap-5399	15	26	deliberately	deliberately	ADV
ap-5399	15	27	evoke	evoke	VERB
ap-5399	15	28	.	.	PUNCT
ap-5399	16	1	heat	heat	NOUN
ap-5399	16	2	transfer	transfer	NOUN
ap-5399	16	3	coefficients	coefficient	NOUN
ap-5399	16	4	cause	cause	VERB
ap-5399	16	5	a	a	DET
ap-5399	16	6	temperature	temperature	NOUN
ap-5399	16	7	field	field	NOUN
ap-5399	16	8	to	to	PART
ap-5399	16	9	form	form	VERB
ap-5399	16	10	on	on	ADP
ap-5399	16	11	the	the	DET
ap-5399	16	12	thin	thin	ADJ
ap-5399	16	13	plate	plate	NOUN
ap-5399	16	14	,	,	PUNCT
ap-5399	16	15	which	which	PRON
ap-5399	16	16	can	can	AUX
ap-5399	16	17	then	then	ADV
ap-5399	16	18	be	be	AUX
ap-5399	16	19	used	use	VERB
ap-5399	16	20	to	to	PART
ap-5399	16	21	calculate	calculate	VERB
ap-5399	16	22	local	local	ADJ
ap-5399	16	23	heat	heat	NOUN
ap-5399	16	24	transfer	transfer	NOUN
ap-5399	16	25	coefficient	coefficient	NOUN
ap-5399	16	26	values	value	NOUN
ap-5399	16	27	.	.	PUNCT
ap-5399	17	1	this	this	DET
ap-5399	17	2	method	method	NOUN
ap-5399	17	3	was	be	AUX
ap-5399	17	4	used	use	VERB
ap-5399	17	5	,	,	PUNCT
ap-5399	17	6	for	for	ADP
ap-5399	17	7	example	example	NOUN
ap-5399	17	8	,	,	PUNCT
ap-5399	17	9	by	by	ADP
ap-5399	17	10	katti	katti	NOUN
ap-5399	17	11	and	and	CCONJ
ap-5399	17	12	prabhu	prabhu	NOUN
ap-5399	18	1	[	[	X
ap-5399	18	2	1	1	NUM
ap-5399	18	3	]	]	PUNCT
ap-5399	18	4	,	,	PUNCT
ap-5399	18	5	which	which	PRON
ap-5399	18	6	measured	measure	VERB
ap-5399	18	7	the	the	DET
ap-5399	18	8	heat	heat	NOUN
ap-5399	18	9	transfer	transfer	NOUN
ap-5399	18	10	between	between	ADP
ap-5399	18	11	the	the	DET
ap-5399	18	12	smooth	smooth	ADJ
ap-5399	18	13	plate	plate	NOUN
ap-5399	18	14	and	and	CCONJ
ap-5399	18	15	the	the	DET
ap-5399	18	16	air	air	NOUN
ap-5399	18	17	flow	flow	NOUN
ap-5399	18	18	from	from	ADP
ap-5399	18	19	the	the	DET
ap-5399	18	20	nozzle	nozzle	NOUN
ap-5399	18	21	,	,	PUNCT
ap-5399	18	22	and	and	CCONJ
ap-5399	18	23	used	use	VERB
ap-5399	18	24	the	the	DET
ap-5399	18	25	infra	infra	NOUN
ap-5399	18	26	-	-	PUNCT
ap-5399	18	27	red	red	ADJ
ap-5399	18	28	camera	camera	NOUN
ap-5399	18	29	to	to	PART
ap-5399	18	30	measure	measure	VERB
ap-5399	18	31	the	the	DET
ap-5399	18	32	local	local	ADJ
ap-5399	18	33	surface	surface	NOUN
ap-5399	18	34	temperatures	temperature	NOUN
ap-5399	18	35	.	.	PUNCT
ap-5399	19	1	kenneth	kenneth	PROPN
ap-5399	19	2	et	et	PROPN
ap-5399	19	3	al	al	PROPN
ap-5399	19	4	.	.	PUNCT
ap-5399	20	1	[	[	X
ap-5399	20	2	2	2	NUM
ap-5399	20	3	]	]	PUNCT
ap-5399	20	4	used	use	VERB
ap-5399	20	5	an	an	DET
ap-5399	20	6	adiabatic	adiabatic	ADJ
ap-5399	20	7	wall	wall	NOUN
ap-5399	20	8	to	to	PART
ap-5399	20	9	measure	measure	VERB
ap-5399	20	10	the	the	DET
ap-5399	20	11	heat	heat	NOUN
ap-5399	20	12	transfer	transfer	NOUN
ap-5399	20	13	between	between	ADP
ap-5399	20	14	smooth	smooth	ADJ
ap-5399	20	15	wall	wall	NOUN
ap-5399	20	16	and	and	CCONJ
ap-5399	20	17	a	a	DET
ap-5399	20	18	matrix	matrix	NOUN
ap-5399	20	19	of	of	ADP
ap-5399	20	20	impinging	impinge	VERB
ap-5399	20	21	jets	jet	NOUN
ap-5399	20	22	.	.	PUNCT
ap-5399	21	1	the	the	DET
ap-5399	21	2	smooth	smooth	ADJ
ap-5399	21	3	wall	wall	NOUN
ap-5399	21	4	was	be	AUX
ap-5399	21	5	coated	coat	VERB
ap-5399	21	6	with	with	ADP
ap-5399	21	7	a	a	DET
ap-5399	21	8	thin	thin	ADJ
ap-5399	21	9	layer	layer	NOUN
ap-5399	21	10	of	of	ADP
ap-5399	21	11	thermochromic	thermochromic	ADJ
ap-5399	21	12	liquid	liquid	ADJ
ap-5399	21	13	crystals	crystal	NOUN
ap-5399	21	14	(	(	PUNCT
ap-5399	21	15	tlc	tlc	NOUN
ap-5399	21	16	,	,	PUNCT
ap-5399	21	17	a	a	DET
ap-5399	21	18	thermally	thermally	ADV
ap-5399	21	19	active	active	ADJ
ap-5399	21	20	colour	colour	NOUN
ap-5399	21	21	that	that	PRON
ap-5399	21	22	changes	change	VERB
ap-5399	21	23	its	its	PRON
ap-5399	21	24	colour	colour	NOUN
ap-5399	21	25	when	when	SCONJ
ap-5399	21	26	changing	change	VERB
ap-5399	21	27	the	the	DET
ap-5399	21	28	temperature	temperature	NOUN
ap-5399	21	29	)	)	PUNCT
ap-5399	21	30	.	.	PUNCT
ap-5399	22	1	the	the	DET
ap-5399	22	2	wall	wall	NOUN
ap-5399	22	3	with	with	ADP
ap-5399	22	4	tlc	tlc	NOUN
ap-5399	22	5	layer	layer	NOUN
ap-5399	22	6	was	be	AUX
ap-5399	22	7	scanned	scan	VERB
ap-5399	22	8	by	by	ADP
ap-5399	22	9	a	a	DET
ap-5399	22	10	rgb	rgb	PROPN
ap-5399	22	11	camera	camera	NOUN
ap-5399	22	12	and	and	CCONJ
ap-5399	22	13	the	the	DET
ap-5399	22	14	recorded	record	VERB
ap-5399	22	15	colour	colour	NOUN
ap-5399	22	16	at	at	ADP
ap-5399	22	17	each	each	DET
ap-5399	22	18	point	point	NOUN
ap-5399	22	19	was	be	AUX
ap-5399	22	20	recalculated	recalculate	VERB
ap-5399	22	21	to	to	ADP
ap-5399	22	22	a	a	DET
ap-5399	22	23	temperature	temperature	NOUN
ap-5399	22	24	field	field	NOUN
ap-5399	22	25	.	.	PUNCT
ap-5399	23	1	quite	quite	DET
ap-5399	23	2	the	the	DET
ap-5399	23	3	same	same	ADJ
ap-5399	23	4	method	method	NOUN
ap-5399	23	5	,	,	PUNCT
ap-5399	23	6	but	but	CCONJ
ap-5399	23	7	another	another	DET
ap-5399	23	8	way	way	NOUN
ap-5399	23	9	of	of	ADP
ap-5399	23	10	measuring	measure	VERB
ap-5399	23	11	the	the	DET
ap-5399	23	12	surface	surface	NOUN
ap-5399	23	13	temperature	temperature	NOUN
ap-5399	23	14	field	field	NOUN
ap-5399	23	15	.	.	PUNCT
ap-5399	24	1	beniaiche	beniaiche	PROPN
ap-5399	24	2	et	et	PROPN
ap-5399	24	3	al	al	PROPN
ap-5399	24	4	.	.	PUNCT
ap-5399	25	1	[	[	X
ap-5399	25	2	3	3	NUM
ap-5399	25	3	]	]	PUNCT
ap-5399	25	4	measured	measure	VERB
ap-5399	25	5	with	with	ADP
ap-5399	25	6	a	a	DET
ap-5399	25	7	help	help	NOUN
ap-5399	25	8	of	of	ADP
ap-5399	25	9	the	the	DET
ap-5399	25	10	stationary	stationary	ADJ
ap-5399	25	11	method	method	NOUN
ap-5399	25	12	,	,	PUNCT
ap-5399	25	13	the	the	DET
ap-5399	25	14	heat	heat	NOUN
ap-5399	25	15	transfer	transfer	NOUN
ap-5399	25	16	in	in	ADP
ap-5399	25	17	the	the	DET
ap-5399	25	18	trailing	trail	VERB
ap-5399	25	19	edge	edge	NOUN
ap-5399	25	20	of	of	ADP
ap-5399	25	21	the	the	DET
ap-5399	25	22	modern	modern	ADJ
ap-5399	25	23	gas	gas	NOUN
ap-5399	25	24	turbines	turbine	NOUN
ap-5399	25	25	.	.	PUNCT
ap-5399	26	1	the	the	DET
ap-5399	26	2	30:1	30:1	NUM
ap-5399	26	3	replacement	replacement	NOUN
ap-5399	26	4	model	model	NOUN
ap-5399	26	5	was	be	AUX
ap-5399	26	6	coated	coat	VERB
ap-5399	26	7	with	with	ADP
ap-5399	26	8	a	a	DET
ap-5399	26	9	thin	thin	ADJ
ap-5399	26	10	calibrated	calibrate	VERB
ap-5399	26	11	tlc	tlc	NOUN
ap-5399	26	12	layer	layer	NOUN
ap-5399	26	13	and	and	CCONJ
ap-5399	26	14	rgb	rgb	PROPN
ap-5399	26	15	camera	camera	NOUN
ap-5399	26	16	scanned	scan	VERB
ap-5399	26	17	the	the	DET
ap-5399	26	18	temperature	temperature	NOUN
ap-5399	26	19	field	field	NOUN
ap-5399	26	20	while	while	SCONJ
ap-5399	26	21	the	the	DET
ap-5399	26	22	cooling	cool	VERB
ap-5399	26	23	air	air	NOUN
ap-5399	26	24	was	be	AUX
ap-5399	26	25	flowing	flow	VERB
ap-5399	26	26	.	.	PUNCT
ap-5399	27	1	the	the	DET
ap-5399	27	2	pressure	pressure	NOUN
ap-5399	27	3	field	field	NOUN
ap-5399	27	4	was	be	AUX
ap-5399	27	5	also	also	ADV
ap-5399	27	6	studied	study	VERB
ap-5399	27	7	.	.	PUNCT
ap-5399	28	1	the	the	DET
ap-5399	28	2	resulting	result	VERB
ap-5399	28	3	heat	heat	NOUN
ap-5399	28	4	transfer	transfer	NOUN
ap-5399	28	5	coefficient	coefficient	NOUN
ap-5399	28	6	maps	map	NOUN
ap-5399	28	7	are	be	AUX
ap-5399	28	8	used	use	VERB
ap-5399	28	9	to	to	PART
ap-5399	28	10	optimize	optimize	VERB
ap-5399	28	11	the	the	DET
ap-5399	28	12	trailing	trail	VERB
ap-5399	28	13	edges	edge	NOUN
ap-5399	28	14	and	and	CCONJ
ap-5399	28	15	prevent	prevent	VERB
ap-5399	28	16	overheating	overheating	NOUN
ap-5399	28	17	of	of	ADP
ap-5399	28	18	the	the	DET
ap-5399	28	19	modern	modern	ADJ
ap-5399	28	20	turbine	turbine	NOUN
ap-5399	28	21	blades	blade	NOUN
ap-5399	28	22	.	.	PUNCT
ap-5399	29	1	frequently	frequently	ADV
ap-5399	29	2	used	use	VERB
ap-5399	29	3	heat	heat	NOUN
ap-5399	29	4	transfer	transfer	NOUN
ap-5399	29	5	measurement	measurement	NOUN
ap-5399	29	6	methods	method	NOUN
ap-5399	29	7	are	be	AUX
ap-5399	29	8	the	the	DET
ap-5399	29	9	transient	transient	ADJ
ap-5399	29	10	methods	method	NOUN
ap-5399	29	11	of	of	ADP
ap-5399	29	12	a	a	DET
ap-5399	29	13	surface	surface	NOUN
ap-5399	29	14	temperature	temperature	NOUN
ap-5399	29	15	measurement	measurement	NOUN
ap-5399	29	16	.	.	PUNCT
ap-5399	30	1	hippensteele	hippensteele	PROPN
ap-5399	30	2	and	and	CCONJ
ap-5399	30	3	poinsatte	poinsatte	NOUN
ap-5399	30	4	[	[	X
ap-5399	30	5	4	4	X
ap-5399	30	6	]	]	PUNCT
ap-5399	30	7	measured	measure	VERB
ap-5399	30	8	the	the	DET
ap-5399	30	9	heat	heat	NOUN
ap-5399	30	10	transfer	transfer	NOUN
ap-5399	30	11	coefficient	coefficient	NOUN
ap-5399	30	12	maps	map	NOUN
ap-5399	30	13	in	in	ADP
ap-5399	30	14	a	a	DET
ap-5399	30	15	tapered	tapered	ADJ
ap-5399	30	16	channel	channel	NOUN
ap-5399	30	17	for	for	ADP
ap-5399	30	18	high	high	ADJ
ap-5399	30	19	reynolds	reynold	NOUN
ap-5399	30	20	numbers	number	NOUN
ap-5399	30	21	(	(	PUNCT
ap-5399	30	22	2×	2×	NUM
ap-5399	30	23	105	105	NUM
ap-5399	30	24	to	to	ADP
ap-5399	30	25	1.2×	1.2×	NUM
ap-5399	30	26	106	106	NUM
ap-5399	30	27	)	)	PUNCT
ap-5399	30	28	.	.	PUNCT
ap-5399	31	1	authors	author	NOUN
ap-5399	31	2	pre	pre	VERB
ap-5399	31	3	-	-	VERB
ap-5399	31	4	warmed	warm	VERB
ap-5399	31	5	the	the	DET
ap-5399	31	6	measured	measured	ADJ
ap-5399	31	7	channel	channel	NOUN
ap-5399	31	8	,	,	PUNCT
ap-5399	31	9	and	and	CCONJ
ap-5399	31	10	after	after	ADP
ap-5399	31	11	reaching	reach	VERB
ap-5399	31	12	the	the	DET
ap-5399	31	13	initial	initial	ADJ
ap-5399	31	14	temperature	temperature	NOUN
ap-5399	31	15	throughout	throughout	ADP
ap-5399	31	16	the	the	DET
ap-5399	31	17	model	model	NOUN
ap-5399	31	18	volume	volume	NOUN
ap-5399	31	19	,	,	PUNCT
ap-5399	31	20	they	they	PRON
ap-5399	31	21	began	begin	VERB
ap-5399	31	22	to	to	PART
ap-5399	31	23	cool	cool	VERB
ap-5399	31	24	the	the	DET
ap-5399	31	25	channel	channel	NOUN
ap-5399	31	26	through	through	ADP
ap-5399	31	27	the	the	DET
ap-5399	31	28	internal	internal	ADJ
ap-5399	31	29	air	air	NOUN
ap-5399	31	30	stream	stream	NOUN
ap-5399	31	31	and	and	CCONJ
ap-5399	31	32	recorded	record	VERB
ap-5399	31	33	the	the	DET
ap-5399	31	34	surface	surface	NOUN
ap-5399	31	35	of	of	ADP
ap-5399	31	36	the	the	DET
ap-5399	31	37	channel	channel	NOUN
ap-5399	31	38	with	with	ADP
ap-5399	31	39	a	a	DET
ap-5399	31	40	tlc	tlc	NOUN
ap-5399	31	41	calibrated	calibrate	VERB
ap-5399	31	42	layer	layer	NOUN
ap-5399	31	43	by	by	ADP
ap-5399	31	44	rgb	rgb	PROPN
ap-5399	31	45	camera	camera	NOUN
ap-5399	31	46	.	.	PUNCT
ap-5399	32	1	another	another	DET
ap-5399	32	2	,	,	PUNCT
ap-5399	32	3	very	very	ADV
ap-5399	32	4	often	often	ADV
ap-5399	32	5	used	use	VERB
ap-5399	32	6	method	method	NOUN
ap-5399	32	7	,	,	PUNCT
ap-5399	32	8	is	be	AUX
ap-5399	32	9	the	the	DET
ap-5399	32	10	electrodiffusion	electrodiffusion	NOUN
ap-5399	32	11	method	method	NOUN
ap-5399	32	12	(	(	PUNCT
ap-5399	32	13	edm	edm	PROPN
ap-5399	32	14	)	)	PUNCT
ap-5399	32	15	,	,	PUNCT
ap-5399	32	16	which	which	PRON
ap-5399	32	17	measures	measure	VERB
ap-5399	32	18	the	the	DET
ap-5399	32	19	current	current	NOUN
ap-5399	32	20	between	between	ADP
ap-5399	32	21	two	two	NUM
ap-5399	32	22	electrodes	electrode	NOUN
ap-5399	32	23	.	.	PUNCT
ap-5399	33	1	when	when	SCONJ
ap-5399	33	2	measuring	measure	VERB
ap-5399	33	3	with	with	ADP
ap-5399	33	4	this	this	DET
ap-5399	33	5	method	method	NOUN
ap-5399	33	6	,	,	PUNCT
ap-5399	33	7	it	it	PRON
ap-5399	33	8	is	be	AUX
ap-5399	33	9	necessary	necessary	ADJ
ap-5399	33	10	to	to	PART
ap-5399	33	11	have	have	VERB
ap-5399	33	12	two	two	NUM
ap-5399	33	13	electrodes	electrode	NOUN
ap-5399	33	14	and	and	CCONJ
ap-5399	33	15	an	an	DET
ap-5399	33	16	electrolytic	electrolytic	ADJ
ap-5399	33	17	411	411	NUM
ap-5399	33	18	https://doi.org/10.14311/ap.2019.59.0411	https://doi.org/10.14311/ap.2019.59.0411	NUM
ap-5399	33	19	https://ojs.cvut.cz/ojs/index.php/ap	https://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-5399	33	20	stanislav	stanislav	ADJ
ap-5399	33	21	solnař	solnař	NOUN
ap-5399	33	22	,	,	PUNCT
ap-5399	33	23	martin	martin	PROPN
ap-5399	33	24	dostál	dostál	PROPN
ap-5399	33	25	acta	acta	PROPN
ap-5399	33	26	polytechnica	polytechnica	PROPN
ap-5399	33	27	liquid	liquid	PROPN
ap-5399	33	28	.	.	PUNCT
ap-5399	34	1	if	if	SCONJ
ap-5399	34	2	we	we	PRON
ap-5399	34	3	bring	bring	VERB
ap-5399	34	4	the	the	DET
ap-5399	34	5	voltage	voltage	NOUN
ap-5399	34	6	to	to	ADP
ap-5399	34	7	electrodes	electrode	NOUN
ap-5399	34	8	,	,	PUNCT
ap-5399	34	9	a	a	DET
ap-5399	34	10	heterogeneous	heterogeneous	ADJ
ap-5399	34	11	reaction	reaction	NOUN
ap-5399	34	12	results	result	NOUN
ap-5399	34	13	in	in	ADP
ap-5399	34	14	a	a	DET
ap-5399	34	15	change	change	NOUN
ap-5399	34	16	of	of	ADP
ap-5399	34	17	equalization	equalization	NOUN
ap-5399	34	18	between	between	ADP
ap-5399	34	19	anode	anode	NOUN
ap-5399	34	20	and	and	CCONJ
ap-5399	34	21	cathode	cathode	NOUN
ap-5399	34	22	,	,	PUNCT
ap-5399	34	23	which	which	PRON
ap-5399	34	24	induces	induce	VERB
ap-5399	34	25	a	a	DET
ap-5399	34	26	measureable	measureable	ADJ
ap-5399	34	27	current	current	NOUN
ap-5399	34	28	.	.	PUNCT
ap-5399	35	1	the	the	PRON
ap-5399	35	2	stronger	strong	ADJ
ap-5399	35	3	the	the	DET
ap-5399	35	4	mass	mass	ADJ
ap-5399	35	5	transfer	transfer	NOUN
ap-5399	35	6	of	of	ADP
ap-5399	35	7	the	the	DET
ap-5399	35	8	ions	ion	NOUN
ap-5399	35	9	,	,	PUNCT
ap-5399	35	10	the	the	DET
ap-5399	35	11	higher	high	ADJ
ap-5399	35	12	are	be	AUX
ap-5399	35	13	the	the	DET
ap-5399	35	14	measured	measured	ADJ
ap-5399	35	15	values	value	NOUN
ap-5399	35	16	of	of	ADP
ap-5399	35	17	the	the	DET
ap-5399	35	18	current	current	ADJ
ap-5399	35	19	[	[	X
ap-5399	35	20	5	5	NUM
ap-5399	35	21	]	]	PUNCT
ap-5399	35	22	.	.	PUNCT
ap-5399	36	1	this	this	DET
ap-5399	36	2	method	method	NOUN
ap-5399	36	3	for	for	ADP
ap-5399	36	4	measuring	measure	VERB
ap-5399	36	5	local	local	ADJ
ap-5399	36	6	values	value	NOUN
ap-5399	36	7	of	of	ADP
ap-5399	36	8	the	the	DET
ap-5399	36	9	heat	heat	NOUN
ap-5399	36	10	transfer	transfer	NOUN
ap-5399	36	11	coefficient	coefficient	NOUN
ap-5399	36	12	was	be	AUX
ap-5399	36	13	used	use	VERB
ap-5399	36	14	,	,	PUNCT
ap-5399	36	15	for	for	ADP
ap-5399	36	16	example	example	NOUN
ap-5399	36	17	,	,	PUNCT
ap-5399	36	18	by	by	ADP
ap-5399	36	19	petera	petera	NOUN
ap-5399	36	20	et	et	NOUN
ap-5399	36	21	al	al	PROPN
ap-5399	36	22	.	.	PUNCT
ap-5399	37	1	[	[	X
ap-5399	37	2	6	6	NUM
ap-5399	37	3	]	]	PUNCT
ap-5399	37	4	in	in	ADP
ap-5399	37	5	the	the	DET
ap-5399	37	6	measurement	measurement	NOUN
ap-5399	37	7	of	of	ADP
ap-5399	37	8	the	the	DET
ap-5399	37	9	local	local	ADJ
ap-5399	37	10	heat	heat	NOUN
ap-5399	37	11	transfer	transfer	NOUN
ap-5399	37	12	coefficients	coefficient	NOUN
ap-5399	37	13	at	at	ADP
ap-5399	37	14	the	the	DET
ap-5399	37	15	bottom	bottom	NOUN
ap-5399	37	16	of	of	ADP
ap-5399	37	17	the	the	DET
ap-5399	37	18	agitated	agitated	ADJ
ap-5399	37	19	vessel	vessel	NOUN
ap-5399	37	20	on	on	ADP
ap-5399	37	21	which	which	PRON
ap-5399	37	22	the	the	DET
ap-5399	37	23	jet	jet	NOUN
ap-5399	37	24	of	of	ADP
ap-5399	37	25	water	water	NOUN
ap-5399	37	26	was	be	AUX
ap-5399	37	27	falling	fall	VERB
ap-5399	37	28	.	.	PUNCT
ap-5399	38	1	the	the	DET
ap-5399	38	2	impinging	impinge	VERB
ap-5399	38	3	jet	jet	NOUN
ap-5399	38	4	was	be	AUX
ap-5399	38	5	formed	form	VERB
ap-5399	38	6	by	by	ADP
ap-5399	38	7	an	an	DET
ap-5399	38	8	agitator	agitator	NOUN
ap-5399	38	9	that	that	PRON
ap-5399	38	10	was	be	AUX
ap-5399	38	11	placed	place	VERB
ap-5399	38	12	in	in	ADP
ap-5399	38	13	the	the	DET
ap-5399	38	14	draft	draft	NOUN
ap-5399	38	15	tube	tube	NOUN
ap-5399	38	16	.	.	PUNCT
ap-5399	39	1	another	another	DET
ap-5399	39	2	application	application	NOUN
ap-5399	39	3	can	can	AUX
ap-5399	39	4	be	be	AUX
ap-5399	39	5	,	,	PUNCT
ap-5399	39	6	for	for	ADP
ap-5399	39	7	example	example	NOUN
ap-5399	39	8	,	,	PUNCT
ap-5399	39	9	cudak	cudak	NOUN
ap-5399	39	10	and	and	CCONJ
ap-5399	39	11	karcz	karcz	NOUN
ap-5399	40	1	[	[	X
ap-5399	40	2	7	7	NUM
ap-5399	40	3	]	]	PUNCT
ap-5399	40	4	,	,	PUNCT
ap-5399	40	5	where	where	SCONJ
ap-5399	40	6	the	the	DET
ap-5399	40	7	heat	heat	NOUN
ap-5399	40	8	transfer	transfer	NOUN
ap-5399	40	9	coefficients	coefficient	NOUN
ap-5399	40	10	were	be	AUX
ap-5399	40	11	measured	measure	VERB
ap-5399	40	12	on	on	ADP
ap-5399	40	13	the	the	DET
ap-5399	40	14	wall	wall	NOUN
ap-5399	40	15	of	of	ADP
ap-5399	40	16	the	the	DET
ap-5399	40	17	agitated	agitated	ADJ
ap-5399	40	18	vessel	vessel	NOUN
ap-5399	40	19	without	without	ADP
ap-5399	40	20	baffles	baffle	NOUN
ap-5399	40	21	and	and	CCONJ
ap-5399	40	22	the	the	DET
ap-5399	40	23	agitator	agitator	NOUN
ap-5399	40	24	had	have	AUX
ap-5399	40	25	been	be	AUX
ap-5399	40	26	placed	place	VERB
ap-5399	40	27	in	in	ADP
ap-5399	40	28	the	the	DET
ap-5399	40	29	axis	axis	NOUN
ap-5399	40	30	or	or	CCONJ
ap-5399	40	31	outside	outside	ADP
ap-5399	40	32	the	the	DET
ap-5399	40	33	axis	axis	NOUN
ap-5399	40	34	of	of	ADP
ap-5399	40	35	the	the	DET
ap-5399	40	36	agitated	agitated	ADJ
ap-5399	40	37	vessel	vessel	NOUN
ap-5399	40	38	.	.	PUNCT
ap-5399	41	1	karcz	karcz	VERB
ap-5399	41	2	a	a	DET
ap-5399	41	3	strek	strek	NOUN
ap-5399	42	1	[	[	X
ap-5399	42	2	8	8	NUM
ap-5399	42	3	]	]	PUNCT
ap-5399	42	4	also	also	ADV
ap-5399	42	5	measured	measure	VERB
ap-5399	42	6	the	the	DET
ap-5399	42	7	influence	influence	NOUN
ap-5399	42	8	of	of	ADP
ap-5399	42	9	the	the	DET
ap-5399	42	10	baffles	baffle	NOUN
ap-5399	42	11	,	,	PUNCT
ap-5399	42	12	their	their	PRON
ap-5399	42	13	location	location	NOUN
ap-5399	42	14	and	and	CCONJ
ap-5399	42	15	the	the	DET
ap-5399	42	16	length	length	NOUN
ap-5399	42	17	of	of	ADP
ap-5399	42	18	the	the	DET
ap-5399	42	19	heat	heat	NOUN
ap-5399	42	20	transfer	transfer	NOUN
ap-5399	42	21	on	on	ADP
ap-5399	42	22	the	the	DET
ap-5399	42	23	wall	wall	NOUN
ap-5399	42	24	of	of	ADP
ap-5399	42	25	an	an	DET
ap-5399	42	26	agitated	agitated	ADJ
ap-5399	42	27	vessel	vessel	NOUN
ap-5399	42	28	with	with	ADP
ap-5399	42	29	this	this	DET
ap-5399	42	30	method	method	NOUN
ap-5399	42	31	.	.	PUNCT
ap-5399	43	1	a	a	DET
ap-5399	43	2	relatively	relatively	ADV
ap-5399	43	3	new	new	ADJ
ap-5399	43	4	and	and	CCONJ
ap-5399	43	5	modern	modern	ADJ
ap-5399	43	6	method	method	NOUN
ap-5399	43	7	for	for	ADP
ap-5399	43	8	measuring	measure	VERB
ap-5399	43	9	the	the	DET
ap-5399	43	10	local	local	ADJ
ap-5399	43	11	heat	heat	NOUN
ap-5399	43	12	transfer	transfer	NOUN
ap-5399	43	13	coefficient	coefficient	NOUN
ap-5399	43	14	values	value	NOUN
ap-5399	43	15	is	be	AUX
ap-5399	43	16	the	the	DET
ap-5399	43	17	temperature	temperature	NOUN
ap-5399	43	18	oscillation	oscillation	NOUN
ap-5399	43	19	infra	infra	NOUN
ap-5399	43	20	-	-	PUNCT
ap-5399	43	21	red	red	ADJ
ap-5399	43	22	thermography	thermography	NOUN
ap-5399	43	23	method	method	NOUN
ap-5399	43	24	(	(	PUNCT
ap-5399	43	25	toirt	toirt	ADJ
ap-5399	43	26	)	)	PUNCT
ap-5399	43	27	.	.	PUNCT
ap-5399	44	1	this	this	DET
ap-5399	44	2	method	method	NOUN
ap-5399	44	3	is	be	AUX
ap-5399	44	4	based	base	VERB
ap-5399	44	5	on	on	ADP
ap-5399	44	6	measuring	measure	VERB
ap-5399	44	7	the	the	DET
ap-5399	44	8	surface	surface	NOUN
ap-5399	44	9	temperature	temperature	NOUN
ap-5399	44	10	of	of	ADP
ap-5399	44	11	the	the	DET
ap-5399	44	12	wall	wall	NOUN
ap-5399	44	13	with	with	ADP
ap-5399	44	14	infra	infra	NOUN
ap-5399	44	15	-	-	PUNCT
ap-5399	44	16	red	red	ADJ
ap-5399	44	17	camera	camera	NOUN
ap-5399	44	18	,	,	PUNCT
ap-5399	44	19	which	which	PRON
ap-5399	44	20	is	be	AUX
ap-5399	44	21	influenced	influence	VERB
ap-5399	44	22	by	by	ADP
ap-5399	44	23	the	the	DET
ap-5399	44	24	oscillating	oscillate	VERB
ap-5399	44	25	heat	heat	NOUN
ap-5399	44	26	flow	flow	NOUN
ap-5399	44	27	from	from	ADP
ap-5399	44	28	one	one	NUM
ap-5399	44	29	side	side	NOUN
ap-5399	44	30	and	and	CCONJ
ap-5399	44	31	the	the	DET
ap-5399	44	32	convective	convective	ADJ
ap-5399	44	33	heat	heat	NOUN
ap-5399	44	34	transfer	transfer	NOUN
ap-5399	44	35	from	from	ADP
ap-5399	44	36	both	both	DET
ap-5399	44	37	sides	side	NOUN
ap-5399	44	38	of	of	ADP
ap-5399	44	39	the	the	DET
ap-5399	44	40	wall	wall	NOUN
ap-5399	44	41	.	.	PUNCT
ap-5399	45	1	the	the	DET
ap-5399	45	2	key	key	ADJ
ap-5399	45	3	information	information	NOUN
ap-5399	45	4	of	of	ADP
ap-5399	45	5	the	the	DET
ap-5399	45	6	method	method	NOUN
ap-5399	45	7	is	be	AUX
ap-5399	45	8	the	the	DET
ap-5399	45	9	phase	phase	NOUN
ap-5399	45	10	delay	delay	NOUN
ap-5399	45	11	of	of	ADP
ap-5399	45	12	the	the	DET
ap-5399	45	13	temperature	temperature	NOUN
ap-5399	45	14	signal	signal	NOUN
ap-5399	45	15	behind	behind	ADP
ap-5399	45	16	the	the	DET
ap-5399	45	17	oscillating	oscillate	VERB
ap-5399	45	18	heat	heat	NOUN
ap-5399	45	19	flux	flux	NOUN
ap-5399	45	20	,	,	PUNCT
ap-5399	45	21	this	this	DET
ap-5399	45	22	delay	delay	NOUN
ap-5399	45	23	is	be	AUX
ap-5399	45	24	in	in	ADP
ap-5399	45	25	a	a	DET
ap-5399	45	26	direct	direct	ADJ
ap-5399	45	27	relationship	relationship	NOUN
ap-5399	45	28	with	with	ADP
ap-5399	45	29	the	the	DET
ap-5399	45	30	heat	heat	NOUN
ap-5399	45	31	transfer	transfer	NOUN
ap-5399	45	32	coefficient	coefficient	NOUN
ap-5399	45	33	.	.	PUNCT
ap-5399	46	1	authors	author	NOUN
ap-5399	46	2	wandelt	wandelt	VERB
ap-5399	46	3	and	and	CCONJ
ap-5399	46	4	roetzel	roetzel	ADJ
ap-5399	46	5	[	[	X
ap-5399	46	6	9	9	NUM
ap-5399	46	7	]	]	PUNCT
ap-5399	46	8	derived	derive	VERB
ap-5399	46	9	this	this	DET
ap-5399	46	10	relation	relation	NOUN
ap-5399	46	11	and	and	CCONJ
ap-5399	46	12	tried	try	VERB
ap-5399	46	13	to	to	PART
ap-5399	46	14	measure	measure	VERB
ap-5399	46	15	the	the	DET
ap-5399	46	16	heat	heat	NOUN
ap-5399	46	17	transfer	transfer	NOUN
ap-5399	46	18	on	on	ADP
ap-5399	46	19	a	a	DET
ap-5399	46	20	wall	wall	NOUN
ap-5399	46	21	that	that	PRON
ap-5399	46	22	had	have	VERB
ap-5399	46	23	an	an	DET
ap-5399	46	24	air	air	NOUN
ap-5399	46	25	flow	flow	NOUN
ap-5399	46	26	from	from	ADP
ap-5399	46	27	both	both	DET
ap-5399	46	28	sides	side	NOUN
ap-5399	46	29	as	as	ADV
ap-5399	46	30	well	well	ADV
ap-5399	46	31	.	.	PUNCT
ap-5399	47	1	by	by	ADP
ap-5399	47	2	comparing	compare	VERB
ap-5399	47	3	the	the	DET
ap-5399	47	4	experimental	experimental	ADJ
ap-5399	47	5	results	result	NOUN
ap-5399	47	6	with	with	ADP
ap-5399	47	7	the	the	DET
ap-5399	47	8	assumed	assumed	ADJ
ap-5399	47	9	values	value	NOUN
ap-5399	47	10	at	at	ADP
ap-5399	47	11	the	the	DET
ap-5399	47	12	individual	individual	ADJ
ap-5399	47	13	measurement	measurement	NOUN
ap-5399	47	14	points	point	NOUN
ap-5399	47	15	,	,	PUNCT
ap-5399	47	16	the	the	DET
ap-5399	47	17	functionality	functionality	NOUN
ap-5399	47	18	of	of	ADP
ap-5399	47	19	the	the	DET
ap-5399	47	20	method	method	NOUN
ap-5399	47	21	was	be	AUX
ap-5399	47	22	confirmed	confirm	VERB
ap-5399	47	23	.	.	PUNCT
ap-5399	48	1	freund	freund	PROPN
ap-5399	49	1	[	[	X
ap-5399	49	2	10	10	NUM
ap-5399	49	3	]	]	PUNCT
ap-5399	49	4	subjected	subject	VERB
ap-5399	49	5	this	this	DET
ap-5399	49	6	method	method	NOUN
ap-5399	49	7	to	to	ADP
ap-5399	49	8	a	a	DET
ap-5399	49	9	very	very	ADV
ap-5399	49	10	thorough	thorough	ADJ
ap-5399	49	11	theoretical	theoretical	ADJ
ap-5399	49	12	analysis	analysis	NOUN
ap-5399	49	13	and	and	CCONJ
ap-5399	49	14	set	set	VERB
ap-5399	49	15	certain	certain	ADJ
ap-5399	49	16	practical	practical	ADJ
ap-5399	49	17	limits	limit	NOUN
ap-5399	49	18	(	(	PUNCT
ap-5399	49	19	maximum	maximum	ADJ
ap-5399	49	20	and	and	CCONJ
ap-5399	49	21	recommended	recommend	VERB
ap-5399	49	22	wall	wall	NOUN
ap-5399	49	23	thickness	thickness	NOUN
ap-5399	49	24	,	,	PUNCT
ap-5399	49	25	optimal	optimal	ADJ
ap-5399	49	26	oscillating	oscillate	VERB
ap-5399	49	27	heat	heat	NOUN
ap-5399	49	28	signal	signal	NOUN
ap-5399	49	29	frequency	frequency	NOUN
ap-5399	49	30	,	,	PUNCT
ap-5399	49	31	etc	etc	X
ap-5399	49	32	.	.	X
ap-5399	49	33	)	)	PUNCT
ap-5399	50	1	for	for	ADP
ap-5399	50	2	the	the	DET
ap-5399	50	3	method	method	NOUN
ap-5399	50	4	to	to	PART
ap-5399	50	5	function	function	VERB
ap-5399	50	6	.	.	PUNCT
ap-5399	51	1	the	the	DET
ap-5399	51	2	thesis	thesis	NOUN
ap-5399	51	3	also	also	ADV
ap-5399	51	4	presents	present	VERB
ap-5399	51	5	a	a	DET
ap-5399	51	6	sensitivity	sensitivity	NOUN
ap-5399	51	7	analysis	analysis	NOUN
ap-5399	51	8	of	of	ADP
ap-5399	51	9	the	the	DET
ap-5399	51	10	method	method	NOUN
ap-5399	51	11	to	to	PART
ap-5399	51	12	input	input	NOUN
ap-5399	51	13	variables	variable	NOUN
ap-5399	51	14	,	,	PUNCT
ap-5399	51	15	the	the	DET
ap-5399	51	16	theoretical	theoretical	ADJ
ap-5399	51	17	and	and	CCONJ
ap-5399	51	18	experimental	experimental	ADJ
ap-5399	51	19	validation	validation	NOUN
ap-5399	51	20	and	and	CCONJ
ap-5399	51	21	the	the	DET
ap-5399	51	22	problems	problem	NOUN
ap-5399	51	23	associated	associate	VERB
ap-5399	51	24	with	with	ADP
ap-5399	51	25	the	the	DET
ap-5399	51	26	method	method	NOUN
ap-5399	51	27	.	.	PUNCT
ap-5399	52	1	besides	besides	SCONJ
ap-5399	52	2	the	the	DET
ap-5399	52	3	experiments	experiment	NOUN
ap-5399	52	4	themselves	themselves	PRON
ap-5399	52	5	,	,	PUNCT
ap-5399	52	6	he	he	PRON
ap-5399	52	7	also	also	ADV
ap-5399	52	8	dealt	deal	VERB
ap-5399	52	9	with	with	ADP
ap-5399	52	10	the	the	DET
ap-5399	52	11	problem	problem	NOUN
ap-5399	52	12	of	of	ADP
ap-5399	52	13	lateral	lateral	ADJ
ap-5399	52	14	conduction	conduction	NOUN
ap-5399	52	15	in	in	ADP
ap-5399	52	16	the	the	DET
ap-5399	52	17	wall	wall	NOUN
ap-5399	52	18	that	that	PRON
ap-5399	52	19	occurs	occur	VERB
ap-5399	52	20	during	during	ADP
ap-5399	52	21	certain	certain	ADJ
ap-5399	52	22	measurements	measurement	NOUN
ap-5399	52	23	,	,	PUNCT
ap-5399	52	24	but	but	CCONJ
ap-5399	52	25	the	the	DET
ap-5399	52	26	method	method	NOUN
ap-5399	52	27	does	do	AUX
ap-5399	52	28	not	not	PART
ap-5399	52	29	take	take	VERB
ap-5399	52	30	this	this	PRON
ap-5399	52	31	into	into	ADP
ap-5399	52	32	account	account	NOUN
ap-5399	52	33	.	.	PUNCT
ap-5399	53	1	the	the	DET
ap-5399	53	2	author	author	NOUN
ap-5399	53	3	tries	try	VERB
ap-5399	53	4	to	to	PART
ap-5399	53	5	solve	solve	VERB
ap-5399	53	6	this	this	DET
ap-5399	53	7	problem	problem	NOUN
ap-5399	53	8	by	by	ADP
ap-5399	53	9	means	mean	NOUN
ap-5399	53	10	of	of	ADP
ap-5399	53	11	a	a	DET
ap-5399	53	12	back	back	VERB
ap-5399	53	13	-	-	PUNCT
ap-5399	53	14	up	up	ADP
ap-5399	53	15	task	task	NOUN
ap-5399	53	16	and	and	CCONJ
ap-5399	53	17	a	a	DET
ap-5399	53	18	numerical	numerical	ADJ
ap-5399	53	19	finite	finite	ADJ
ap-5399	53	20	-	-	ADJ
ap-5399	53	21	element	element	ADJ
ap-5399	53	22	method	method	NOUN
ap-5399	53	23	modelling	modelling	NOUN
ap-5399	53	24	.	.	PUNCT
ap-5399	54	1	freund	freund	PROPN
ap-5399	54	2	also	also	ADV
ap-5399	54	3	encountered	encounter	VERB
ap-5399	54	4	the	the	DET
ap-5399	54	5	problem	problem	NOUN
ap-5399	54	6	of	of	ADP
ap-5399	54	7	the	the	DET
ap-5399	54	8	gradual	gradual	ADJ
ap-5399	54	9	heating	heating	NOUN
ap-5399	54	10	of	of	ADP
ap-5399	54	11	the	the	DET
ap-5399	54	12	entire	entire	ADJ
ap-5399	54	13	system	system	NOUN
ap-5399	54	14	(	(	PUNCT
ap-5399	54	15	he	he	PRON
ap-5399	54	16	called	call	VERB
ap-5399	54	17	that	that	DET
ap-5399	54	18	drift	drift	NOUN
ap-5399	54	19	)	)	PUNCT
ap-5399	54	20	,	,	PUNCT
ap-5399	54	21	which	which	PRON
ap-5399	54	22	arises	arise	VERB
ap-5399	54	23	at	at	ADP
ap-5399	54	24	the	the	DET
ap-5399	54	25	beginning	beginning	NOUN
ap-5399	54	26	of	of	ADP
ap-5399	54	27	the	the	DET
ap-5399	54	28	measurement	measurement	NOUN
ap-5399	54	29	as	as	ADP
ap-5399	54	30	a	a	DET
ap-5399	54	31	temperature	temperature	NOUN
ap-5399	54	32	transient	transient	NOUN
ap-5399	54	33	response	response	NOUN
ap-5399	54	34	.	.	PUNCT
ap-5399	55	1	this	this	DET
ap-5399	55	2	gradual	gradual	ADJ
ap-5399	55	3	warming	warming	NOUN
ap-5399	55	4	of	of	ADP
ap-5399	55	5	the	the	DET
ap-5399	55	6	measured	measure	VERB
ap-5399	55	7	wall	wall	NOUN
ap-5399	55	8	must	must	AUX
ap-5399	55	9	be	be	AUX
ap-5399	55	10	removed	remove	VERB
ap-5399	55	11	from	from	ADP
ap-5399	55	12	the	the	DET
ap-5399	55	13	data	datum	NOUN
ap-5399	55	14	if	if	SCONJ
ap-5399	55	15	we	we	PRON
ap-5399	55	16	want	want	VERB
ap-5399	55	17	to	to	PART
ap-5399	55	18	use	use	VERB
ap-5399	55	19	all	all	DET
ap-5399	55	20	measured	measure	VERB
ap-5399	55	21	data	datum	NOUN
ap-5399	55	22	.	.	PUNCT
ap-5399	56	1	in	in	ADP
ap-5399	56	2	a	a	DET
ap-5399	56	3	theoretical	theoretical	ADJ
ap-5399	56	4	level	level	NOUN
ap-5399	56	5	,	,	PUNCT
ap-5399	56	6	we	we	PRON
ap-5399	56	7	should	should	AUX
ap-5399	56	8	wait	wait	VERB
ap-5399	56	9	an	an	DET
ap-5399	56	10	infinitely	infinitely	ADV
ap-5399	56	11	long	long	ADJ
ap-5399	56	12	time	time	NOUN
ap-5399	56	13	to	to	PART
ap-5399	56	14	guarantee	guarantee	VERB
ap-5399	56	15	the	the	DET
ap-5399	56	16	thermal	thermal	ADJ
ap-5399	56	17	equilibrium	equilibrium	NOUN
ap-5399	56	18	of	of	ADP
ap-5399	56	19	the	the	DET
ap-5399	56	20	system	system	NOUN
ap-5399	56	21	,	,	PUNCT
ap-5399	56	22	which	which	PRON
ap-5399	56	23	is	be	AUX
ap-5399	56	24	not	not	PART
ap-5399	56	25	entirely	entirely	ADV
ap-5399	56	26	enjoyable	enjoyable	ADJ
ap-5399	56	27	from	from	ADP
ap-5399	56	28	a	a	DET
ap-5399	56	29	practical	practical	ADJ
ap-5399	56	30	point	point	NOUN
ap-5399	56	31	of	of	ADP
ap-5399	56	32	view	view	NOUN
ap-5399	56	33	.	.	PUNCT
ap-5399	57	1	by	by	ADP
ap-5399	57	2	removing	remove	VERB
ap-5399	57	3	the	the	DET
ap-5399	57	4	drift	drift	NOUN
ap-5399	57	5	from	from	ADP
ap-5399	57	6	the	the	DET
ap-5399	57	7	data	datum	NOUN
ap-5399	57	8	,	,	PUNCT
ap-5399	57	9	it	it	PRON
ap-5399	57	10	is	be	AUX
ap-5399	57	11	possible	possible	ADJ
ap-5399	57	12	to	to	PART
ap-5399	57	13	use	use	VERB
ap-5399	57	14	the	the	DET
ap-5399	57	15	data	datum	NOUN
ap-5399	57	16	that	that	PRON
ap-5399	57	17	do	do	AUX
ap-5399	57	18	not	not	PART
ap-5399	57	19	meet	meet	VERB
ap-5399	57	20	the	the	DET
ap-5399	57	21	thermal	thermal	ADJ
ap-5399	57	22	equilibrium	equilibrium	NOUN
ap-5399	57	23	condition	condition	NOUN
ap-5399	57	24	.	.	PUNCT
ap-5399	58	1	this	this	DET
ap-5399	58	2	temperature	temperature	NOUN
ap-5399	58	3	tendency	tendency	NOUN
ap-5399	58	4	caused	cause	VERB
ap-5399	58	5	a	a	DET
ap-5399	58	6	relatively	relatively	ADV
ap-5399	58	7	large	large	ADJ
ap-5399	58	8	error	error	NOUN
ap-5399	58	9	in	in	ADP
ap-5399	58	10	the	the	DET
ap-5399	58	11	values	value	NOUN
ap-5399	58	12	of	of	ADP
ap-5399	58	13	the	the	DET
ap-5399	58	14	temperature	temperature	NOUN
ap-5399	58	15	phase	phase	NOUN
ap-5399	58	16	delay	delay	NOUN
ap-5399	58	17	(	(	PUNCT
ap-5399	58	18	which	which	PRON
ap-5399	58	19	are	be	AUX
ap-5399	58	20	in	in	ADP
ap-5399	58	21	relation	relation	NOUN
ap-5399	58	22	to	to	ADP
ap-5399	58	23	the	the	DET
ap-5399	58	24	resulting	result	VERB
ap-5399	58	25	heat	heat	NOUN
ap-5399	58	26	transfer	transfer	NOUN
ap-5399	58	27	coefficient	coefficient	NOUN
ap-5399	58	28	)	)	PUNCT
ap-5399	58	29	,	,	PUNCT
ap-5399	58	30	and	and	CCONJ
ap-5399	58	31	freund	freund	PROPN
ap-5399	58	32	removed	remove	VERB
ap-5399	58	33	it	it	PRON
ap-5399	58	34	by	by	ADP
ap-5399	58	35	interleaving	interleave	VERB
ap-5399	58	36	the	the	DET
ap-5399	58	37	various	various	ADJ
ap-5399	58	38	functions	function	NOUN
ap-5399	58	39	and	and	CCONJ
ap-5399	58	40	subtracting	subtract	VERB
ap-5399	58	41	them	they	PRON
ap-5399	58	42	and	and	CCONJ
ap-5399	58	43	claimed	claim	VERB
ap-5399	58	44	that	that	SCONJ
ap-5399	58	45	this	this	DET
ap-5399	58	46	procedure	procedure	NOUN
ap-5399	58	47	did	do	AUX
ap-5399	58	48	not	not	PART
ap-5399	58	49	have	have	VERB
ap-5399	58	50	a	a	DET
ap-5399	58	51	significant	significant	ADJ
ap-5399	58	52	effect	effect	NOUN
ap-5399	58	53	on	on	ADP
ap-5399	58	54	the	the	DET
ap-5399	58	55	method	method	NOUN
ap-5399	58	56	error	error	NOUN
ap-5399	58	57	.	.	PUNCT
ap-5399	59	1	freund	freund	PROPN
ap-5399	59	2	published	publish	VERB
ap-5399	59	3	several	several	ADJ
ap-5399	59	4	papers	paper	NOUN
ap-5399	59	5	on	on	ADP
ap-5399	59	6	the	the	DET
ap-5399	59	7	application	application	NOUN
ap-5399	59	8	of	of	ADP
ap-5399	59	9	the	the	DET
ap-5399	59	10	toirt	toirt	PROPN
ap-5399	59	11	method	method	NOUN
ap-5399	59	12	eg	eg	NOUN
ap-5399	59	13	.	.	PUNCT
ap-5399	60	1	[	[	X
ap-5399	60	2	11	11	NUM
ap-5399	60	3	]	]	PUNCT
ap-5399	60	4	when	when	SCONJ
ap-5399	60	5	measuring	measure	VERB
ap-5399	60	6	the	the	DET
ap-5399	60	7	local	local	ADJ
ap-5399	60	8	values	value	NOUN
ap-5399	60	9	of	of	ADP
ap-5399	60	10	the	the	DET
ap-5399	60	11	heat	heat	NOUN
ap-5399	60	12	transfer	transfer	NOUN
ap-5399	60	13	coefficient	coefficient	NOUN
ap-5399	60	14	in	in	ADP
ap-5399	60	15	the	the	DET
ap-5399	60	16	plate	plate	NOUN
ap-5399	60	17	heat	heat	NOUN
ap-5399	60	18	exchanger	exchanger	NOUN
ap-5399	60	19	plates	plate	NOUN
ap-5399	60	20	for	for	ADP
ap-5399	60	21	which	which	PRON
ap-5399	60	22	he	he	PRON
ap-5399	60	23	prepared	prepare	VERB
ap-5399	60	24	the	the	DET
ap-5399	60	25	numerical	numerical	ADJ
ap-5399	60	26	model	model	NOUN
ap-5399	60	27	in	in	ADP
ap-5399	60	28	ansys	ansys	PROPN
ap-5399	60	29	fluent	fluent	PROPN
ap-5399	60	30	or	or	CCONJ
ap-5399	60	31	[	[	X
ap-5399	60	32	12	12	NUM
ap-5399	60	33	]	]	PUNCT
ap-5399	60	34	when	when	SCONJ
ap-5399	60	35	measuring	measure	VERB
ap-5399	60	36	heat	heat	NOUN
ap-5399	60	37	transfer	transfer	NOUN
ap-5399	60	38	in	in	ADP
ap-5399	60	39	water	water	NOUN
ap-5399	60	40	cooling	cool	VERB
ap-5399	60	41	spray	spray	NOUN
ap-5399	60	42	systems	system	NOUN
ap-5399	60	43	.	.	PUNCT
ap-5399	61	1	in	in	ADP
ap-5399	61	2	freund	freund	PROPN
ap-5399	61	3	[	[	X
ap-5399	61	4	10	10	NUM
ap-5399	61	5	]	]	PUNCT
ap-5399	61	6	,	,	PUNCT
ap-5399	61	7	there	there	PRON
ap-5399	61	8	are	be	VERB
ap-5399	61	9	also	also	ADV
ap-5399	61	10	experiments	experiment	NOUN
ap-5399	61	11	,	,	PUNCT
ap-5399	61	12	such	such	ADJ
ap-5399	61	13	as	as	ADP
ap-5399	61	14	heat	heat	NOUN
ap-5399	61	15	transfer	transfer	NOUN
ap-5399	61	16	in	in	ADP
ap-5399	61	17	the	the	DET
ap-5399	61	18	flow	flow	NOUN
ap-5399	61	19	of	of	ADP
ap-5399	61	20	fluid	fluid	NOUN
ap-5399	61	21	in	in	ADP
ap-5399	61	22	the	the	DET
ap-5399	61	23	tube	tube	NOUN
ap-5399	61	24	,	,	PUNCT
ap-5399	61	25	heat	heat	NOUN
ap-5399	61	26	transfer	transfer	NOUN
ap-5399	61	27	behind	behind	ADP
ap-5399	61	28	the	the	DET
ap-5399	61	29	vortex	vortex	NOUN
ap-5399	61	30	generators	generator	NOUN
ap-5399	61	31	in	in	ADP
ap-5399	61	32	the	the	DET
ap-5399	61	33	air	air	NOUN
ap-5399	61	34	tunnel	tunnel	NOUN
ap-5399	61	35	,	,	PUNCT
ap-5399	61	36	or	or	CCONJ
ap-5399	61	37	heat	heat	NOUN
ap-5399	61	38	transfer	transfer	NOUN
ap-5399	61	39	between	between	ADP
ap-5399	61	40	the	the	DET
ap-5399	61	41	plate	plate	NOUN
ap-5399	61	42	and	and	CCONJ
ap-5399	61	43	the	the	DET
ap-5399	61	44	impinging	impinge	VERB
ap-5399	61	45	jet	jet	NOUN
ap-5399	61	46	experiments	experiment	NOUN
ap-5399	61	47	.	.	PUNCT
ap-5399	62	1	we	we	PRON
ap-5399	62	2	will	will	AUX
ap-5399	62	3	solve	solve	VERB
ap-5399	62	4	this	this	DET
ap-5399	62	5	problem	problem	NOUN
ap-5399	62	6	using	use	VERB
ap-5399	62	7	an	an	DET
ap-5399	62	8	integral	integral	ADJ
ap-5399	62	9	transformation	transformation	NOUN
ap-5399	62	10	that	that	PRON
ap-5399	62	11	simplifies	simplify	VERB
ap-5399	62	12	the	the	DET
ap-5399	62	13	solution	solution	NOUN
ap-5399	62	14	of	of	ADP
ap-5399	62	15	similar	similar	ADJ
ap-5399	62	16	problems	problem	NOUN
ap-5399	62	17	.	.	PUNCT
ap-5399	63	1	the	the	DET
ap-5399	63	2	laplace	laplace	NOUN
ap-5399	63	3	transformation	transformation	NOUN
ap-5399	63	4	is	be	AUX
ap-5399	63	5	an	an	DET
ap-5399	63	6	integral	integral	ADJ
ap-5399	63	7	transformation	transformation	NOUN
ap-5399	63	8	named	name	VERB
ap-5399	63	9	after	after	ADP
ap-5399	63	10	its	its	PRON
ap-5399	63	11	discoverer	discoverer	NOUN
ap-5399	63	12	pierre	pierre	NOUN
ap-5399	63	13	-	-	PUNCT
ap-5399	63	14	simon	simon	PROPN
ap-5399	63	15	laplace	laplace	NOUN
ap-5399	63	16	[	[	X
ap-5399	63	17	13	13	NUM
ap-5399	63	18	]	]	PUNCT
ap-5399	63	19	.	.	PUNCT
ap-5399	64	1	the	the	DET
ap-5399	64	2	real	real	ADJ
ap-5399	64	3	variable	variable	NOUN
ap-5399	64	4	t	t	PROPN
ap-5399	64	5	function	function	NOUN
ap-5399	64	6	is	be	AUX
ap-5399	64	7	transformed	transform	VERB
ap-5399	64	8	into	into	ADP
ap-5399	64	9	the	the	DET
ap-5399	64	10	s	s	X
ap-5399	64	11	complex	complex	ADJ
ap-5399	64	12	variable	variable	ADJ
ap-5399	64	13	function	function	NOUN
ap-5399	64	14	,	,	PUNCT
ap-5399	64	15	which	which	PRON
ap-5399	64	16	can	can	AUX
ap-5399	64	17	be	be	AUX
ap-5399	64	18	transformed	transform	VERB
ap-5399	64	19	back	back	ADV
ap-5399	64	20	.	.	PUNCT
ap-5399	65	1	laplace	laplace	NOUN
ap-5399	65	2	transformation	transformation	NOUN
ap-5399	65	3	l	l	PROPN
ap-5399	65	4	transforms	transform	VERB
ap-5399	65	5	the	the	DET
ap-5399	65	6	functions	function	NOUN
ap-5399	65	7	of	of	ADP
ap-5399	65	8	the	the	DET
ap-5399	65	9	real	real	ADJ
ap-5399	65	10	variable	variable	ADJ
ap-5399	65	11	f(t	f(t	NOUN
ap-5399	65	12	)	)	PUNCT
ap-5399	65	13	defined	define	VERB
ap-5399	65	14	for	for	ADP
ap-5399	65	15	all	all	DET
ap-5399	65	16	real	real	ADJ
ap-5399	65	17	numbers	number	NOUN
ap-5399	65	18	t	t	PROPN
ap-5399	65	19	≥	≥	NOUN
ap-5399	65	20	0	0	NUM
ap-5399	65	21	to	to	ADP
ap-5399	65	22	the	the	DET
ap-5399	65	23	images	image	NOUN
ap-5399	65	24	of	of	ADP
ap-5399	65	25	the	the	DET
ap-5399	65	26	functions	function	NOUN
ap-5399	65	27	f	f	X
ap-5399	65	28	(	(	PUNCT
ap-5399	65	29	s	s	X
ap-5399	65	30	)	)	PUNCT
ap-5399	65	31	defined	define	VERB
ap-5399	65	32	as	as	ADP
ap-5399	65	33	l(f(t	l(f(t	NOUN
ap-5399	65	34	)	)	PUNCT
ap-5399	65	35	)	)	PUNCT
ap-5399	66	1	=	=	SYM
ap-5399	66	2	∫	∫	PROPN
ap-5399	67	1	∞	∞	NOUN
ap-5399	67	2	0	0	NUM
ap-5399	67	3	f(t	f(t	NOUN
ap-5399	67	4	)	)	PUNCT
ap-5399	67	5	e−s	e−s	PROPN
ap-5399	67	6	t	t	NOUN
ap-5399	67	7	=	=	PUNCT
ap-5399	67	8	f(s	f(	NOUN
ap-5399	67	9	)	)	PUNCT
ap-5399	67	10	.	.	PUNCT
ap-5399	68	1	(	(	PUNCT
ap-5399	68	2	2	2	X
ap-5399	68	3	)	)	PUNCT
ap-5399	68	4	we	we	PRON
ap-5399	68	5	will	will	AUX
ap-5399	68	6	use	use	VERB
ap-5399	68	7	f	f	PROPN
ap-5399	68	8	for	for	ADP
ap-5399	68	9	function	function	NOUN
ap-5399	68	10	images	image	NOUN
ap-5399	68	11	in	in	ADP
ap-5399	68	12	laplace	laplace	NOUN
ap-5399	68	13	’s	’s	PART
ap-5399	68	14	space	space	NOUN
ap-5399	68	15	.	.	PUNCT
ap-5399	69	1	the	the	DET
ap-5399	69	2	f(t	f(t	PROPN
ap-5399	69	3	)	)	PUNCT
ap-5399	69	4	function	function	NOUN
ap-5399	69	5	must	must	AUX
ap-5399	69	6	be	be	AUX
ap-5399	69	7	locally	locally	ADV
ap-5399	69	8	integrable	integrable	ADJ
ap-5399	69	9	on	on	ADP
ap-5399	69	10	the	the	DET
ap-5399	69	11	[	[	X
ap-5399	69	12	0,∞	0,∞	NUM
ap-5399	69	13	)	)	PUNCT
ap-5399	69	14	interval	interval	NOUN
ap-5399	69	15	.	.	PUNCT
ap-5399	70	1	in	in	ADP
ap-5399	70	2	the	the	DET
ap-5399	70	3	literature	literature	NOUN
ap-5399	70	4	,	,	PUNCT
ap-5399	70	5	it	it	PRON
ap-5399	70	6	is	be	AUX
ap-5399	70	7	then	then	ADV
ap-5399	70	8	possible	possible	ADJ
ap-5399	70	9	to	to	PART
ap-5399	70	10	find	find	VERB
ap-5399	70	11	images	image	NOUN
ap-5399	70	12	(	(	PUNCT
ap-5399	70	13	laplace	laplace	NOUN
ap-5399	70	14	transformations	transformation	NOUN
ap-5399	70	15	)	)	PUNCT
ap-5399	70	16	of	of	ADP
ap-5399	70	17	many	many	ADJ
ap-5399	70	18	different	different	ADJ
ap-5399	70	19	functions	function	NOUN
ap-5399	70	20	.	.	PUNCT
ap-5399	71	1	laplace	laplace	NOUN
ap-5399	71	2	transform	transform	NOUN
ap-5399	71	3	is	be	AUX
ap-5399	71	4	also	also	ADV
ap-5399	71	5	very	very	ADV
ap-5399	71	6	often	often	ADV
ap-5399	71	7	used	use	VERB
ap-5399	71	8	to	to	PART
ap-5399	71	9	solve	solve	VERB
ap-5399	71	10	differential	differential	ADJ
ap-5399	71	11	equations	equation	NOUN
ap-5399	71	12	(	(	PUNCT
ap-5399	71	13	both	both	DET
ap-5399	71	14	ordinary	ordinary	ADJ
ap-5399	71	15	differential	differential	ADJ
ap-5399	71	16	equations	equation	NOUN
ap-5399	71	17	and	and	CCONJ
ap-5399	71	18	partial	partial	ADJ
ap-5399	71	19	differential	differential	NOUN
ap-5399	71	20	equations	equation	NOUN
ap-5399	71	21	)	)	PUNCT
ap-5399	71	22	.	.	PUNCT
ap-5399	72	1	if	if	SCONJ
ap-5399	72	2	we	we	PRON
ap-5399	72	3	transform	transform	VERB
ap-5399	72	4	an	an	DET
ap-5399	72	5	ordinary	ordinary	ADJ
ap-5399	72	6	derivative	derivative	NOUN
ap-5399	72	7	of	of	ADP
ap-5399	72	8	the	the	DET
ap-5399	72	9	function	function	NOUN
ap-5399	72	10	f	f	PROPN
ap-5399	72	11	′(t	′(t	PROPN
ap-5399	72	12	)	)	PUNCT
ap-5399	72	13	l	l	NOUN
ap-5399	72	14	(	(	PUNCT
ap-5399	72	15	df(t	df(t	NOUN
ap-5399	72	16	)	)	PUNCT
ap-5399	72	17	dt	dt	NOUN
ap-5399	72	18	)	)	PUNCT
ap-5399	73	1	=	=	SYM
ap-5399	73	2	l(f	l(f	PROPN
ap-5399	73	3	′(t	′(t	PROPN
ap-5399	73	4	)	)	PUNCT
ap-5399	73	5	)	)	PUNCT
ap-5399	74	1	=	=	PRON
ap-5399	74	2	s	s	AUX
ap-5399	74	3	f(s)−	f(s)−	ADP
ap-5399	74	4	f(0	f(0	NOUN
ap-5399	74	5	)	)	PUNCT
ap-5399	74	6	(	(	PUNCT
ap-5399	74	7	3	3	X
ap-5399	74	8	)	)	PUNCT
ap-5399	74	9	we	we	PRON
ap-5399	74	10	get	get	VERB
ap-5399	74	11	an	an	DET
ap-5399	74	12	image	image	NOUN
ap-5399	74	13	of	of	ADP
ap-5399	74	14	a	a	DET
ap-5399	74	15	function	function	NOUN
ap-5399	74	16	that	that	PRON
ap-5399	74	17	is	be	AUX
ap-5399	74	18	in	in	ADP
ap-5399	74	19	the	the	DET
ap-5399	74	20	form	form	NOUN
ap-5399	74	21	of	of	ADP
ap-5399	74	22	an	an	DET
ap-5399	74	23	algebraic	algebraic	ADJ
ap-5399	74	24	expression	expression	NOUN
ap-5399	74	25	.	.	PUNCT
ap-5399	75	1	the	the	DET
ap-5399	75	2	system	system	NOUN
ap-5399	75	3	of	of	ADP
ap-5399	75	4	such	such	ADJ
ap-5399	75	5	equations	equation	NOUN
ap-5399	75	6	can	can	AUX
ap-5399	75	7	then	then	ADV
ap-5399	75	8	be	be	AUX
ap-5399	75	9	solved	solve	VERB
ap-5399	75	10	very	very	ADV
ap-5399	75	11	easily	easily	ADV
ap-5399	75	12	and	and	CCONJ
ap-5399	75	13	the	the	DET
ap-5399	75	14	solution	solution	NOUN
ap-5399	75	15	of	of	ADP
ap-5399	75	16	the	the	DET
ap-5399	75	17	equation	equation	NOUN
ap-5399	75	18	is	be	AUX
ap-5399	75	19	obtained	obtain	VERB
ap-5399	75	20	by	by	ADP
ap-5399	75	21	the	the	DET
ap-5399	75	22	inverse	inverse	NOUN
ap-5399	75	23	transformation	transformation	NOUN
ap-5399	75	24	.	.	PUNCT
ap-5399	76	1	if	if	SCONJ
ap-5399	76	2	we	we	PRON
ap-5399	76	3	transform	transform	VERB
ap-5399	76	4	the	the	DET
ap-5399	76	5	partial	partial	ADJ
ap-5399	76	6	derivation	derivation	NOUN
ap-5399	76	7	of	of	ADP
ap-5399	76	8	function	function	NOUN
ap-5399	76	9	f(x	f(x	PROPN
ap-5399	76	10	,	,	PUNCT
ap-5399	76	11	t	t	PROPN
ap-5399	76	12	)	)	PUNCT
ap-5399	76	13	by	by	ADP
ap-5399	76	14	time	time	NOUN
ap-5399	76	15	,	,	PUNCT
ap-5399	76	16	we	we	PRON
ap-5399	76	17	get	get	VERB
ap-5399	76	18	a	a	DET
ap-5399	76	19	function	function	NOUN
ap-5399	76	20	image	image	NOUN
ap-5399	76	21	l	l	NOUN
ap-5399	76	22	(	(	PUNCT
ap-5399	76	23	∂f(x	∂f(x	PROPN
ap-5399	76	24	,	,	PUNCT
ap-5399	76	25	t	t	PROPN
ap-5399	76	26	)	)	PUNCT
ap-5399	76	27	∂t	∂t	PROPN
ap-5399	76	28	)	)	PUNCT
ap-5399	77	1	=	=	SYM
ap-5399	77	2	s	s	PART
ap-5399	77	3	f(x	f(x	PROPN
ap-5399	77	4	,	,	PUNCT
ap-5399	77	5	s)−	s)−	PROPN
ap-5399	77	6	f(x	f(x	PROPN
ap-5399	77	7	,	,	PUNCT
ap-5399	77	8	0	0	NUM
ap-5399	77	9	)	)	PUNCT
ap-5399	77	10	,	,	PUNCT
ap-5399	77	11	(	(	PUNCT
ap-5399	77	12	4	4	X
ap-5399	77	13	)	)	PUNCT
ap-5399	77	14	412	412	NUM
ap-5399	77	15	vol	vol	NOUN
ap-5399	77	16	.	.	PUNCT
ap-5399	78	1	59	59	NUM
ap-5399	78	2	no	no	NOUN
ap-5399	78	3	.	.	PUNCT
ap-5399	79	1	4/2019	4/2019	NUM
ap-5399	79	2	derivation	derivation	NOUN
ap-5399	79	3	of	of	ADP
ap-5399	79	4	a	a	DET
ap-5399	79	5	new	new	ADJ
ap-5399	79	6	contactless	contactless	NOUN
ap-5399	79	7	method	method	NOUN
ap-5399	79	8	t	t	PROPN
ap-5399	79	9	t	t	PROPN
ap-5399	79	10	z	z	PROPN
ap-5399	79	11	t	t	PROPN
ap-5399	79	12	q	q	X
ap-5399	79	13	q(t)=q	q(t)=q	PROPN
ap-5399	79	14	h(t	h(t	PROPN
ap-5399	79	15	)	)	PUNCT
ap-5399	79	16	heat	heat	NOUN
ap-5399	79	17	flux	flux	NOUN
ap-5399	79	18	f	f	PROPN
ap-5399	80	1	f	f	PROPN
ap-5399	80	2	figure	figure	NOUN
ap-5399	80	3	1	1	NUM
ap-5399	80	4	.	.	PUNCT
ap-5399	81	1	a	a	DET
ap-5399	81	2	schematic	schematic	ADJ
ap-5399	81	3	drawing	drawing	NOUN
ap-5399	81	4	of	of	ADP
ap-5399	81	5	the	the	DET
ap-5399	81	6	new	new	ADJ
ap-5399	81	7	method	method	NOUN
ap-5399	81	8	applied	apply	VERB
ap-5399	81	9	to	to	ADP
ap-5399	81	10	a	a	DET
ap-5399	81	11	wall	wall	NOUN
ap-5399	81	12	with	with	ADP
ap-5399	81	13	a	a	DET
ap-5399	81	14	finite	finite	ADJ
ap-5399	81	15	thickness	thickness	NOUN
ap-5399	81	16	δ	δ	PROPN
ap-5399	81	17	and	and	CCONJ
ap-5399	81	18	further	far	ADV
ap-5399	81	19	influenced	influence	VERB
ap-5399	81	20	by	by	ADP
ap-5399	81	21	the	the	DET
ap-5399	81	22	heat	heat	NOUN
ap-5399	81	23	transfer	transfer	NOUN
ap-5399	81	24	coefficiens	coefficien	NOUN
ap-5399	81	25	α0	α0	ADJ
ap-5399	81	26	and	and	CCONJ
ap-5399	81	27	αδ	αδ	NUM
ap-5399	81	28	.	.	PROPN
ap-5399	82	1	which	which	PRON
ap-5399	82	2	is	be	AUX
ap-5399	82	3	again	again	ADV
ap-5399	82	4	in	in	ADP
ap-5399	82	5	the	the	DET
ap-5399	82	6	form	form	NOUN
ap-5399	82	7	of	of	ADP
ap-5399	82	8	an	an	DET
ap-5399	82	9	algebraic	algebraic	ADJ
ap-5399	82	10	expression	expression	NOUN
ap-5399	82	11	.	.	PUNCT
ap-5399	83	1	for	for	ADP
ap-5399	83	2	example	example	NOUN
ap-5399	83	3	,	,	PUNCT
ap-5399	83	4	if	if	SCONJ
ap-5399	83	5	we	we	PRON
ap-5399	83	6	transform	transform	VERB
ap-5399	83	7	the	the	DET
ap-5399	83	8	second	second	ADJ
ap-5399	83	9	partial	partial	ADJ
ap-5399	83	10	derivative	derivative	NOUN
ap-5399	83	11	of	of	ADP
ap-5399	83	12	f(x	f(x	PROPN
ap-5399	83	13	,	,	PUNCT
ap-5399	83	14	t	t	PROPN
ap-5399	83	15	)	)	PUNCT
ap-5399	83	16	by	by	ADP
ap-5399	83	17	the	the	DET
ap-5399	83	18	coordinate	coordinate	NOUN
ap-5399	83	19	of	of	ADP
ap-5399	83	20	x	x	PUNCT
ap-5399	83	21	we	we	PRON
ap-5399	83	22	get	get	VERB
ap-5399	83	23	l	l	NOUN
ap-5399	83	24	(	(	PUNCT
ap-5399	83	25	∂2f(x	∂2f(x	NUM
ap-5399	83	26	,	,	PUNCT
ap-5399	83	27	t	t	PROPN
ap-5399	83	28	)	)	PUNCT
ap-5399	83	29	∂x2	∂x2	NOUN
ap-5399	83	30	)	)	PUNCT
ap-5399	84	1	=	=	SYM
ap-5399	84	2	d2f(x	d2f(x	PROPN
ap-5399	84	3	,	,	PUNCT
ap-5399	84	4	s	s	PART
ap-5399	84	5	)	)	PUNCT
ap-5399	84	6	dx2	dx2	NOUN
ap-5399	84	7	(	(	PUNCT
ap-5399	84	8	5	5	NUM
ap-5399	84	9	)	)	PUNCT
ap-5399	84	10	which	which	PRON
ap-5399	84	11	is	be	AUX
ap-5399	84	12	an	an	DET
ap-5399	84	13	ordinary	ordinary	ADJ
ap-5399	84	14	differential	differential	NOUN
ap-5399	84	15	and	and	CCONJ
ap-5399	84	16	so	so	ADV
ap-5399	84	17	the	the	DET
ap-5399	84	18	solution	solution	NOUN
ap-5399	84	19	is	be	AUX
ap-5399	84	20	simplified	simplify	VERB
ap-5399	84	21	to	to	ADP
ap-5399	84	22	an	an	DET
ap-5399	84	23	ordinary	ordinary	ADJ
ap-5399	84	24	differential	differential	ADJ
ap-5399	84	25	equation	equation	NOUN
ap-5399	84	26	.	.	PUNCT
ap-5399	85	1	partial	partial	ADJ
ap-5399	85	2	differential	differential	NOUN
ap-5399	85	3	tasks	task	NOUN
ap-5399	85	4	are	be	AUX
ap-5399	85	5	simplified	simplify	VERB
ap-5399	85	6	in	in	ADP
ap-5399	85	7	laplace	laplace	NOUN
ap-5399	85	8	’s	’s	PART
ap-5399	85	9	space	space	NOUN
ap-5399	85	10	to	to	ADP
ap-5399	85	11	ordinary	ordinary	ADJ
ap-5399	85	12	differential	differential	ADJ
ap-5399	85	13	tasks	task	NOUN
ap-5399	85	14	,	,	PUNCT
ap-5399	85	15	which	which	PRON
ap-5399	85	16	are	be	AUX
ap-5399	85	17	much	much	ADV
ap-5399	85	18	easier	easy	ADJ
ap-5399	85	19	to	to	PART
ap-5399	85	20	solve	solve	VERB
ap-5399	85	21	,	,	PUNCT
ap-5399	85	22	and	and	CCONJ
ap-5399	85	23	we	we	PRON
ap-5399	85	24	can	can	AUX
ap-5399	85	25	get	get	VERB
ap-5399	85	26	their	their	PRON
ap-5399	85	27	solutions	solution	NOUN
ap-5399	85	28	by	by	ADP
ap-5399	85	29	the	the	DET
ap-5399	85	30	inverse	inverse	NOUN
ap-5399	85	31	transformation	transformation	NOUN
ap-5399	85	32	.	.	PUNCT
ap-5399	86	1	numerical	numerical	ADJ
ap-5399	86	2	solvers	solver	NOUN
ap-5399	86	3	of	of	ADP
ap-5399	86	4	partially	partially	ADV
ap-5399	86	5	differential	differential	ADJ
ap-5399	86	6	equations	equation	NOUN
ap-5399	86	7	are	be	AUX
ap-5399	86	8	nowadays	nowadays	ADV
ap-5399	86	9	included	include	VERB
ap-5399	86	10	in	in	ADP
ap-5399	86	11	commercial	commercial	ADJ
ap-5399	86	12	software	software	NOUN
ap-5399	86	13	,	,	PUNCT
ap-5399	86	14	which	which	PRON
ap-5399	86	15	allow	allow	VERB
ap-5399	86	16	a	a	DET
ap-5399	86	17	relatively	relatively	ADV
ap-5399	86	18	simple	simple	ADJ
ap-5399	86	19	solving	solving	NOUN
ap-5399	86	20	of	of	ADP
ap-5399	86	21	these	these	DET
ap-5399	86	22	tasks	task	NOUN
ap-5399	86	23	.	.	PUNCT
ap-5399	87	1	for	for	ADP
ap-5399	87	2	1d	1d	NUM
ap-5399	87	3	tasks	task	NOUN
ap-5399	87	4	,	,	PUNCT
ap-5399	87	5	matlab	matlab	PROPN
ap-5399	87	6	offers	offer	VERB
ap-5399	87	7	the	the	DET
ap-5399	87	8	pdepe	pdepe	ADJ
ap-5399	87	9	function	function	NOUN
ap-5399	87	10	that	that	PRON
ap-5399	87	11	solves	solve	VERB
ap-5399	87	12	the	the	DET
ap-5399	87	13	initial	initial	ADJ
ap-5399	87	14	tasks	task	NOUN
ap-5399	87	15	of	of	ADP
ap-5399	87	16	parabolic	parabolic	ADJ
ap-5399	87	17	and	and	CCONJ
ap-5399	87	18	elliptical	elliptical	ADJ
ap-5399	87	19	equations	equation	NOUN
ap-5399	87	20	in	in	ADP
ap-5399	87	21	a	a	DET
ap-5399	87	22	one	one	NUM
ap-5399	87	23	selected	select	VERB
ap-5399	87	24	direction	direction	NOUN
ap-5399	87	25	.	.	PUNCT
ap-5399	88	1	after	after	ADP
ap-5399	88	2	defining	define	VERB
ap-5399	88	3	the	the	DET
ap-5399	88	4	task	task	NOUN
ap-5399	88	5	,	,	PUNCT
ap-5399	88	6	boundary	boundary	ADJ
ap-5399	88	7	and	and	CCONJ
ap-5399	88	8	initial	initial	ADJ
ap-5399	88	9	conditions	condition	NOUN
ap-5399	88	10	,	,	PUNCT
ap-5399	88	11	and	and	CCONJ
ap-5399	88	12	the	the	DET
ap-5399	88	13	number	number	NOUN
ap-5399	88	14	of	of	ADP
ap-5399	88	15	time	time	NOUN
ap-5399	88	16	and	and	CCONJ
ap-5399	88	17	dimension	dimension	NOUN
ap-5399	88	18	points	point	NOUN
ap-5399	88	19	,	,	PUNCT
ap-5399	88	20	we	we	PRON
ap-5399	88	21	get	get	VERB
ap-5399	88	22	the	the	DET
ap-5399	88	23	result	result	NOUN
ap-5399	88	24	within	within	ADP
ap-5399	88	25	a	a	DET
ap-5399	88	26	few	few	ADJ
ap-5399	88	27	seconds	second	NOUN
ap-5399	88	28	.	.	PUNCT
ap-5399	89	1	a	a	DET
ap-5399	89	2	detailed	detailed	ADJ
ap-5399	89	3	description	description	NOUN
ap-5399	89	4	of	of	ADP
ap-5399	89	5	the	the	DET
ap-5399	89	6	use	use	NOUN
ap-5399	89	7	of	of	ADP
ap-5399	89	8	this	this	DET
ap-5399	89	9	function	function	NOUN
ap-5399	89	10	can	can	AUX
ap-5399	89	11	be	be	AUX
ap-5399	89	12	found	find	VERB
ap-5399	89	13	at	at	ADP
ap-5399	89	14	https://www.mathworks.com/help/matlab/	https://www.mathworks.com/help/matlab/	PROPN
ap-5399	89	15	ref	ref	PROPN
ap-5399	89	16	/	/	SYM
ap-5399	89	17	pdepe.html	pdepe.html	PROPN
ap-5399	89	18	.	.	PUNCT
ap-5399	90	1	probably	probably	ADV
ap-5399	90	2	the	the	DET
ap-5399	90	3	most	most	ADV
ap-5399	90	4	commonly	commonly	ADV
ap-5399	90	5	used	use	VERB
ap-5399	90	6	tool	tool	NOUN
ap-5399	90	7	for	for	ADP
ap-5399	90	8	solving	solve	VERB
ap-5399	90	9	differential	differential	NOUN
ap-5399	90	10	problems	problem	NOUN
ap-5399	90	11	is	be	AUX
ap-5399	90	12	ansys	ansys	PROPN
ap-5399	90	13	fluent	fluent	ADJ
ap-5399	90	14	.	.	PUNCT
ap-5399	91	1	it	it	PRON
ap-5399	91	2	seems	seem	VERB
ap-5399	91	3	unnecessary	unnecessary	ADJ
ap-5399	91	4	to	to	PART
ap-5399	91	5	use	use	VERB
ap-5399	91	6	such	such	DET
ap-5399	91	7	a	a	DET
ap-5399	91	8	powerfull	powerfull	ADJ
ap-5399	91	9	tool	tool	NOUN
ap-5399	91	10	to	to	PART
ap-5399	91	11	solve	solve	VERB
ap-5399	91	12	the	the	DET
ap-5399	91	13	banal	banal	ADJ
ap-5399	91	14	problem	problem	NOUN
ap-5399	91	15	of	of	ADP
ap-5399	91	16	heat	heat	NOUN
ap-5399	91	17	conduction	conduction	NOUN
ap-5399	91	18	in	in	ADP
ap-5399	91	19	a	a	DET
ap-5399	91	20	homogeneous	homogeneous	ADJ
ap-5399	91	21	wall	wall	NOUN
ap-5399	91	22	.	.	PUNCT
ap-5399	92	1	2	2	X
ap-5399	92	2	.	.	X
ap-5399	92	3	definition	definition	NOUN
ap-5399	92	4	of	of	ADP
ap-5399	92	5	the	the	DET
ap-5399	92	6	problem	problem	NOUN
ap-5399	92	7	the	the	DET
ap-5399	92	8	idea	idea	NOUN
ap-5399	92	9	of	of	ADP
ap-5399	92	10	the	the	DET
ap-5399	92	11	new	new	ADJ
ap-5399	92	12	heat	heat	NOUN
ap-5399	92	13	flux	flux	NOUN
ap-5399	92	14	jump	jump	NOUN
ap-5399	92	15	method	method	NOUN
ap-5399	92	16	is	be	AUX
ap-5399	92	17	depicted	depict	VERB
ap-5399	92	18	on	on	ADP
ap-5399	92	19	the	the	DET
ap-5399	92	20	fig	fig	NOUN
ap-5399	92	21	.	.	PUNCT
ap-5399	93	1	1	1	X
ap-5399	93	2	.	.	X
ap-5399	94	1	it	it	PRON
ap-5399	94	2	is	be	AUX
ap-5399	94	3	a	a	DET
ap-5399	94	4	wall	wall	NOUN
ap-5399	94	5	that	that	PRON
ap-5399	94	6	has	have	VERB
ap-5399	94	7	infinite	infinite	ADJ
ap-5399	94	8	dimensions	dimension	NOUN
ap-5399	94	9	in	in	ADP
ap-5399	94	10	the	the	DET
ap-5399	94	11	direction	direction	NOUN
ap-5399	94	12	of	of	ADP
ap-5399	94	13	x	x	PROPN
ap-5399	94	14	and	and	CCONJ
ap-5399	94	15	y	y	PROPN
ap-5399	94	16	,	,	PUNCT
ap-5399	94	17	and	and	CCONJ
ap-5399	94	18	in	in	ADP
ap-5399	94	19	the	the	DET
ap-5399	94	20	direction	direction	NOUN
ap-5399	94	21	z	z	NOUN
ap-5399	94	22	has	have	VERB
ap-5399	94	23	a	a	DET
ap-5399	94	24	finite	finite	ADJ
ap-5399	94	25	thickness	thickness	NOUN
ap-5399	94	26	of	of	ADP
ap-5399	94	27	δ	δ	PROPN
ap-5399	94	28	,	,	PUNCT
ap-5399	94	29	which	which	PRON
ap-5399	94	30	is	be	AUX
ap-5399	94	31	assumed	assume	VERB
ap-5399	94	32	to	to	PART
ap-5399	94	33	be	be	AUX
ap-5399	94	34	very	very	ADV
ap-5399	94	35	small	small	ADJ
ap-5399	94	36	(	(	PUNCT
ap-5399	94	37	in	in	ADP
ap-5399	94	38	milimeters	milimeter	NOUN
ap-5399	94	39	)	)	PUNCT
ap-5399	94	40	.	.	PUNCT
ap-5399	95	1	this	this	DET
ap-5399	95	2	wall	wall	NOUN
ap-5399	95	3	with	with	ADP
ap-5399	95	4	known	know	VERB
ap-5399	95	5	thermophysical	thermophysical	ADJ
ap-5399	95	6	properties	property	NOUN
ap-5399	95	7	(	(	PUNCT
ap-5399	95	8	density	density	NOUN
ap-5399	95	9	ρ	ρ	PROPN
ap-5399	95	10	,	,	PUNCT
ap-5399	95	11	specific	specific	ADJ
ap-5399	95	12	heat	heat	NOUN
ap-5399	95	13	capacity	capacity	NOUN
ap-5399	95	14	cp	cp	INTJ
ap-5399	95	15	and	and	CCONJ
ap-5399	95	16	thermal	thermal	ADJ
ap-5399	95	17	diffusivity	diffusivity	NOUN
ap-5399	95	18	λ	λ	PROPN
ap-5399	95	19	)	)	PUNCT
ap-5399	95	20	is	be	AUX
ap-5399	95	21	heated	heat	VERB
ap-5399	95	22	from	from	ADP
ap-5399	95	23	the	the	DET
ap-5399	95	24	left	left	ADJ
ap-5399	95	25	side	side	NOUN
ap-5399	95	26	by	by	ADP
ap-5399	95	27	a	a	DET
ap-5399	95	28	uniform	uniform	ADJ
ap-5399	95	29	heat	heat	NOUN
ap-5399	95	30	flux	flux	NOUN
ap-5399	95	31	q̇.	q̇.	NUM
ap-5399	95	32	the	the	DET
ap-5399	95	33	heated	heated	ADJ
ap-5399	95	34	wall	wall	NOUN
ap-5399	95	35	also	also	ADV
ap-5399	95	36	causes	cause	VERB
ap-5399	95	37	a	a	DET
ap-5399	95	38	flow	flow	NOUN
ap-5399	95	39	in	in	ADP
ap-5399	95	40	the	the	DET
ap-5399	95	41	region	region	NOUN
ap-5399	95	42	near	near	ADP
ap-5399	95	43	to	to	ADP
ap-5399	95	44	the	the	DET
ap-5399	95	45	wall	wall	NOUN
ap-5399	95	46	,	,	PUNCT
ap-5399	95	47	causing	cause	VERB
ap-5399	95	48	a	a	DET
ap-5399	95	49	natural	natural	ADJ
ap-5399	95	50	convection	convection	NOUN
ap-5399	95	51	to	to	ADP
ap-5399	95	52	the	the	DET
ap-5399	95	53	left	left	NOUN
ap-5399	95	54	of	of	ADP
ap-5399	95	55	the	the	DET
ap-5399	95	56	task	task	NOUN
ap-5399	95	57	expressed	express	VERB
ap-5399	95	58	as	as	SCONJ
ap-5399	95	59	the	the	DET
ap-5399	95	60	convective	convective	ADJ
ap-5399	95	61	heat	heat	NOUN
ap-5399	95	62	transfer	transfer	NOUN
ap-5399	95	63	coefficient	coefficient	NOUN
ap-5399	95	64	α0	α0	ADJ
ap-5399	95	65	.	.	PUNCT
ap-5399	96	1	the	the	DET
ap-5399	96	2	temperature	temperature	NOUN
ap-5399	96	3	field	field	NOUN
ap-5399	96	4	in	in	ADP
ap-5399	96	5	the	the	DET
ap-5399	96	6	wall	wall	NOUN
ap-5399	96	7	is	be	AUX
ap-5399	96	8	also	also	ADV
ap-5399	96	9	affected	affect	VERB
ap-5399	96	10	by	by	ADP
ap-5399	96	11	the	the	DET
ap-5399	96	12	convective	convective	ADJ
ap-5399	96	13	heat	heat	NOUN
ap-5399	96	14	transfer	transfer	NOUN
ap-5399	96	15	coefficient	coefficient	NOUN
ap-5399	96	16	αδ	αδ	ADP
ap-5399	96	17	on	on	ADP
ap-5399	96	18	the	the	DET
ap-5399	96	19	right	right	ADJ
ap-5399	96	20	hand	hand	NOUN
ap-5399	96	21	side	side	NOUN
ap-5399	96	22	that	that	PRON
ap-5399	96	23	we	we	PRON
ap-5399	96	24	are	be	AUX
ap-5399	96	25	trying	try	VERB
ap-5399	96	26	to	to	PART
ap-5399	96	27	determine	determine	VERB
ap-5399	96	28	.	.	PUNCT
ap-5399	97	1	heat	heat	NOUN
ap-5399	97	2	losses	loss	NOUN
ap-5399	97	3	to	to	ADP
ap-5399	97	4	the	the	DET
ap-5399	97	5	enviroment	enviroment	NOUN
ap-5399	97	6	are	be	AUX
ap-5399	97	7	not	not	PART
ap-5399	97	8	considered	consider	VERB
ap-5399	97	9	in	in	ADP
ap-5399	97	10	this	this	DET
ap-5399	97	11	task	task	NOUN
ap-5399	97	12	.	.	PUNCT
ap-5399	98	1	the	the	DET
ap-5399	98	2	main	main	ADJ
ap-5399	98	3	temperature	temperature	NOUN
ap-5399	98	4	change	change	NOUN
ap-5399	98	5	is	be	AUX
ap-5399	98	6	caused	cause	VERB
ap-5399	98	7	by	by	ADP
ap-5399	98	8	the	the	DET
ap-5399	98	9	heat	heat	NOUN
ap-5399	98	10	flow	flow	NOUN
ap-5399	98	11	,	,	PUNCT
ap-5399	98	12	which	which	PRON
ap-5399	98	13	is	be	AUX
ap-5399	98	14	applied	apply	VERB
ap-5399	98	15	to	to	ADP
ap-5399	98	16	the	the	DET
ap-5399	98	17	left	left	ADJ
ap-5399	98	18	side	side	NOUN
ap-5399	98	19	of	of	ADP
ap-5399	98	20	the	the	DET
ap-5399	98	21	wall	wall	NOUN
ap-5399	98	22	.	.	PUNCT
ap-5399	99	1	this	this	DET
ap-5399	99	2	heat	heat	NOUN
ap-5399	99	3	flow	flow	NOUN
ap-5399	99	4	will	will	AUX
ap-5399	99	5	have	have	VERB
ap-5399	99	6	a	a	DET
ap-5399	99	7	jumping	jumping	NOUN
ap-5399	99	8	character	character	NOUN
ap-5399	99	9	and	and	CCONJ
ap-5399	99	10	can	can	AUX
ap-5399	99	11	be	be	AUX
ap-5399	99	12	expressed	express	VERB
ap-5399	99	13	using	use	VERB
ap-5399	99	14	heaviside	heaviside	ADJ
ap-5399	99	15	function	function	NOUN
ap-5399	99	16	h(t	h(t	PROPN
ap-5399	99	17	)	)	PUNCT
ap-5399	99	18	.	.	PUNCT
ap-5399	100	1	q̇(t	q̇(t	X
ap-5399	100	2	)	)	PUNCT
ap-5399	100	3	=	=	SYM
ap-5399	100	4	q̂	q̂	X
ap-5399	100	5	h(t	h(t	PROPN
ap-5399	100	6	)	)	PUNCT
ap-5399	100	7	,	,	PUNCT
ap-5399	100	8	(	(	PUNCT
ap-5399	100	9	6	6	NUM
ap-5399	100	10	)	)	PUNCT
ap-5399	100	11	where	where	SCONJ
ap-5399	100	12	q̂	q̂	PUNCT
ap-5399	100	13	represents	represent	VERB
ap-5399	100	14	the	the	DET
ap-5399	100	15	amplitude	amplitude	NOUN
ap-5399	100	16	of	of	ADP
ap-5399	100	17	the	the	DET
ap-5399	100	18	heat	heat	NOUN
ap-5399	100	19	flux	flux	NOUN
ap-5399	100	20	.	.	PUNCT
ap-5399	101	1	heat	heat	NOUN
ap-5399	101	2	conduction	conduction	NOUN
ap-5399	101	3	in	in	ADP
ap-5399	101	4	a	a	DET
ap-5399	101	5	homogeneous	homogeneous	ADJ
ap-5399	101	6	wall	wall	NOUN
ap-5399	101	7	is	be	AUX
ap-5399	101	8	descibed	descibe	VERB
ap-5399	101	9	by	by	ADP
ap-5399	101	10	the	the	DET
ap-5399	101	11	fourier	fourier	NOUN
ap-5399	101	12	equation	equation	NOUN
ap-5399	101	13	.	.	PUNCT
ap-5399	102	1	∂t	∂t	PROPN
ap-5399	102	2	∂t	∂t	PROPN
ap-5399	102	3	=	=	PUNCT
ap-5399	102	4	a	a	PROPN
ap-5399	102	5	(	(	PUNCT
ap-5399	102	6	∂2	∂2	PROPN
ap-5399	102	7	t	t	PROPN
ap-5399	102	8	∂x2	∂x2	NOUN
ap-5399	102	9	+	+	CCONJ
ap-5399	102	10	∂2	∂2	PROPN
ap-5399	102	11	t	t	NOUN
ap-5399	102	12	∂y2	∂y2	NOUN
ap-5399	102	13	+	+	CCONJ
ap-5399	102	14	∂2	∂2	PROPN
ap-5399	102	15	t	t	PROPN
ap-5399	102	16	∂z2	∂z2	PROPN
ap-5399	102	17	)	)	PUNCT
ap-5399	102	18	.	.	PUNCT
ap-5399	103	1	(	(	PUNCT
ap-5399	103	2	7	7	X
ap-5399	103	3	)	)	PUNCT
ap-5399	103	4	where	where	SCONJ
ap-5399	103	5	a	a	PRON
ap-5399	103	6	represents	represent	VERB
ap-5399	103	7	a	a	DET
ap-5399	103	8	temperature	temperature	NOUN
ap-5399	103	9	diffusivity	diffusivity	NOUN
ap-5399	103	10	.	.	PUNCT
ap-5399	104	1	assuming	assume	VERB
ap-5399	104	2	that	that	SCONJ
ap-5399	104	3	the	the	DET
ap-5399	104	4	incident	incident	NOUN
ap-5399	104	5	heat	heat	NOUN
ap-5399	104	6	flow	flow	NOUN
ap-5399	104	7	to	to	ADP
ap-5399	104	8	the	the	DET
ap-5399	104	9	wall	wall	NOUN
ap-5399	104	10	is	be	AUX
ap-5399	104	11	uniform	uniform	ADJ
ap-5399	104	12	and	and	CCONJ
ap-5399	104	13	that	that	SCONJ
ap-5399	104	14	the	the	DET
ap-5399	104	15	heat	heat	NOUN
ap-5399	104	16	transfer	transfer	NOUN
ap-5399	104	17	coefficient	coefficient	NOUN
ap-5399	104	18	on	on	ADP
ap-5399	104	19	the	the	DET
ap-5399	104	20	right	right	ADJ
ap-5399	104	21	hand	hand	NOUN
ap-5399	104	22	side	side	NOUN
ap-5399	104	23	αδ	αδ	AUX
ap-5399	104	24	does	do	AUX
ap-5399	104	25	not	not	PART
ap-5399	104	26	change	change	VERB
ap-5399	104	27	on	on	ADP
ap-5399	104	28	the	the	DET
ap-5399	104	29	wall	wall	NOUN
ap-5399	104	30	,	,	PUNCT
ap-5399	104	31	it	it	PRON
ap-5399	104	32	can	can	AUX
ap-5399	104	33	be	be	AUX
ap-5399	104	34	assumed	assume	VERB
ap-5399	104	35	that	that	SCONJ
ap-5399	104	36	the	the	DET
ap-5399	104	37	task	task	NOUN
ap-5399	104	38	becomes	become	VERB
ap-5399	104	39	a	a	DET
ap-5399	104	40	1d	1d	NUM
ap-5399	104	41	problem	problem	NOUN
ap-5399	104	42	(	(	PUNCT
ap-5399	104	43	there	there	PRON
ap-5399	104	44	will	will	AUX
ap-5399	104	45	be	be	AUX
ap-5399	104	46	no	no	DET
ap-5399	104	47	heat	heat	NOUN
ap-5399	104	48	conduction	conduction	NOUN
ap-5399	104	49	in	in	ADP
ap-5399	104	50	the	the	DET
ap-5399	104	51	direction	direction	NOUN
ap-5399	104	52	of	of	ADP
ap-5399	104	53	x	x	PROPN
ap-5399	104	54	and	and	CCONJ
ap-5399	104	55	y	y	PROPN
ap-5399	104	56	)	)	PUNCT
ap-5399	104	57	,	,	PUNCT
ap-5399	104	58	and	and	CCONJ
ap-5399	104	59	therefore	therefore	ADV
ap-5399	104	60	,	,	PUNCT
ap-5399	104	61	413	413	NUM
ap-5399	104	62	https://www.mathworks.com/help/matlab/ref/pdepe.html	https://www.mathworks.com/help/matlab/ref/pdepe.html	ADJ
ap-5399	104	63	https://www.mathworks.com/help/matlab/ref/pdepe.html	https://www.mathworks.com/help/matlab/ref/pdepe.html	PROPN
ap-5399	104	64	stanislav	stanislav	PROPN
ap-5399	104	65	solnař	solnař	PROPN
ap-5399	104	66	,	,	PUNCT
ap-5399	104	67	martin	martin	PROPN
ap-5399	104	68	dostál	dostál	PROPN
ap-5399	104	69	acta	acta	PROPN
ap-5399	104	70	polytechnica	polytechnica	PROPN
ap-5399	104	71	the	the	DET
ap-5399	104	72	first	first	ADJ
ap-5399	104	73	two	two	NUM
ap-5399	104	74	partial	partial	ADJ
ap-5399	104	75	derivatives	derivative	NOUN
ap-5399	104	76	on	on	ADP
ap-5399	104	77	the	the	DET
ap-5399	104	78	right	right	ADJ
ap-5399	104	79	hand	hand	NOUN
ap-5399	104	80	side	side	NOUN
ap-5399	104	81	can	can	AUX
ap-5399	104	82	be	be	AUX
ap-5399	104	83	ommited	ommite	VERB
ap-5399	104	84	.	.	PUNCT
ap-5399	105	1	if	if	SCONJ
ap-5399	105	2	we	we	PRON
ap-5399	105	3	do	do	AUX
ap-5399	105	4	not	not	PART
ap-5399	105	5	calculate	calculate	VERB
ap-5399	105	6	the	the	DET
ap-5399	105	7	absolute	absolute	ADJ
ap-5399	105	8	temperature	temperature	NOUN
ap-5399	105	9	values	value	NOUN
ap-5399	105	10	,	,	PUNCT
ap-5399	105	11	but	but	CCONJ
ap-5399	105	12	only	only	ADV
ap-5399	105	13	the	the	DET
ap-5399	105	14	change	change	NOUN
ap-5399	105	15	from	from	ADP
ap-5399	105	16	the	the	DET
ap-5399	105	17	initial	initial	ADJ
ap-5399	105	18	value	value	NOUN
ap-5399	105	19	t0	t0	NOUN
ap-5399	105	20	,	,	PUNCT
ap-5399	105	21	we	we	PRON
ap-5399	105	22	can	can	AUX
ap-5399	105	23	formulate	formulate	VERB
ap-5399	105	24	this	this	DET
ap-5399	105	25	task	task	NOUN
ap-5399	105	26	as	as	SCONJ
ap-5399	105	27	follows	follow	VERB
ap-5399	105	28	:	:	PUNCT
ap-5399	105	29	∂(t	∂(t	PROPN
ap-5399	105	30	−	−	PROPN
ap-5399	105	31	t0	t0	PROPN
ap-5399	105	32	)	)	PUNCT
ap-5399	106	1	∂t	∂t	PROPN
ap-5399	106	2	=	=	PUNCT
ap-5399	106	3	a	a	DET
ap-5399	106	4	∂2(t	∂2(t	NOUN
ap-5399	106	5	−	−	PROPN
ap-5399	106	6	t0	t0	PROPN
ap-5399	106	7	)	)	PUNCT
ap-5399	106	8	∂z2	∂z2	PROPN
ap-5399	106	9	.	.	PUNCT
ap-5399	107	1	(	(	PUNCT
ap-5399	107	2	8)	8)	NUM
ap-5399	107	3	the	the	DET
ap-5399	107	4	boundary	boundary	ADJ
ap-5399	107	5	condition	condition	NOUN
ap-5399	107	6	for	for	ADP
ap-5399	107	7	solving	solve	VERB
ap-5399	107	8	this	this	DET
ap-5399	107	9	task	task	NOUN
ap-5399	107	10	from	from	ADP
ap-5399	107	11	the	the	DET
ap-5399	107	12	right	right	ADJ
ap-5399	107	13	hand	hand	NOUN
ap-5399	107	14	side	side	NOUN
ap-5399	107	15	(	(	PUNCT
ap-5399	107	16	at	at	ADP
ap-5399	107	17	the	the	DET
ap-5399	107	18	point	point	NOUN
ap-5399	107	19	z	z	NOUN
ap-5399	107	20	=	=	SYM
ap-5399	107	21	δ	δ	PROPN
ap-5399	107	22	)	)	PUNCT
ap-5399	107	23	is	be	AUX
ap-5399	107	24	given	give	VERB
ap-5399	107	25	only	only	ADV
ap-5399	107	26	by	by	ADP
ap-5399	107	27	the	the	DET
ap-5399	107	28	investigated	investigate	VERB
ap-5399	107	29	heat	heat	NOUN
ap-5399	107	30	transfer	transfer	NOUN
ap-5399	107	31	coefficient	coefficient	NOUN
ap-5399	107	32	αδ	αδ	PART
ap-5399	107	33	and	and	CCONJ
ap-5399	107	34	can	can	AUX
ap-5399	107	35	be	be	AUX
ap-5399	107	36	formulated	formulate	VERB
ap-5399	107	37	as	as	ADP
ap-5399	107	38	a	a	DET
ap-5399	107	39	condition	condition	NOUN
ap-5399	107	40	of	of	ADP
ap-5399	107	41	the	the	DET
ap-5399	107	42	third	third	ADJ
ap-5399	107	43	kind	kind	NOUN
ap-5399	107	44	:	:	PUNCT
ap-5399	107	45	−λ∂(t	−λ∂(t	PUNCT
ap-5399	107	46	−	−	PROPN
ap-5399	107	47	t0	t0	PROPN
ap-5399	107	48	)	)	PUNCT
ap-5399	108	1	∂z	∂z	PROPN
ap-5399	108	2	∣∣∣∣	∣∣∣∣	PROPN
ap-5399	108	3	z	z	PROPN
ap-5399	108	4	=	=	PROPN
ap-5399	108	5	δ	δ	X
ap-5399	108	6	=	=	SYM
ap-5399	108	7	αδ	αδ	PROPN
ap-5399	108	8	(	(	PUNCT
ap-5399	108	9	t	t	PROPN
ap-5399	108	10	−	−	PROPN
ap-5399	108	11	tf	tf	INTJ
ap-5399	108	12	)	)	PUNCT
ap-5399	108	13	|z	|z	PROPN
ap-5399	108	14	=	=	PROPN
ap-5399	108	15	δ	δ	PROPN
ap-5399	108	16	,	,	PUNCT
ap-5399	108	17	(	(	PUNCT
ap-5399	108	18	9	9	X
ap-5399	108	19	)	)	PUNCT
ap-5399	108	20	where	where	SCONJ
ap-5399	108	21	the	the	DET
ap-5399	108	22	temperature	temperature	NOUN
ap-5399	108	23	tf	tf	X
ap-5399	108	24	is	be	AUX
ap-5399	108	25	the	the	DET
ap-5399	108	26	ambient	ambient	ADJ
ap-5399	108	27	temperature	temperature	NOUN
ap-5399	108	28	.	.	PUNCT
ap-5399	109	1	the	the	DET
ap-5399	109	2	boundary	boundary	ADJ
ap-5399	109	3	condition	condition	NOUN
ap-5399	109	4	from	from	ADP
ap-5399	109	5	the	the	DET
ap-5399	109	6	left	left	ADJ
ap-5399	109	7	hand	hand	NOUN
ap-5399	109	8	side	side	NOUN
ap-5399	109	9	of	of	ADP
ap-5399	109	10	the	the	DET
ap-5399	109	11	wall	wall	NOUN
ap-5399	109	12	(	(	PUNCT
ap-5399	109	13	at	at	ADP
ap-5399	109	14	the	the	DET
ap-5399	109	15	point	point	NOUN
ap-5399	109	16	z	z	NOUN
ap-5399	109	17	=	=	SYM
ap-5399	109	18	0	0	NUM
ap-5399	109	19	)	)	PUNCT
ap-5399	109	20	is	be	AUX
ap-5399	109	21	given	give	VERB
ap-5399	109	22	by	by	ADP
ap-5399	109	23	the	the	DET
ap-5399	109	24	heat	heat	NOUN
ap-5399	109	25	transfer	transfer	NOUN
ap-5399	109	26	coefficient	coefficient	NOUN
ap-5399	109	27	α0	α0	ADJ
ap-5399	109	28	and	and	CCONJ
ap-5399	109	29	by	by	ADP
ap-5399	109	30	the	the	DET
ap-5399	109	31	heat	heat	NOUN
ap-5399	109	32	flux	flux	NOUN
ap-5399	109	33	that	that	PRON
ap-5399	109	34	is	be	AUX
ap-5399	109	35	sent	send	VERB
ap-5399	109	36	to	to	ADP
ap-5399	109	37	the	the	DET
ap-5399	109	38	measured	measured	ADJ
ap-5399	109	39	wall	wall	NOUN
ap-5399	109	40	,	,	PUNCT
ap-5399	109	41	it	it	PRON
ap-5399	109	42	,	,	PUNCT
ap-5399	109	43	again	again	ADV
ap-5399	109	44	,	,	PUNCT
ap-5399	109	45	is	be	AUX
ap-5399	109	46	a	a	DET
ap-5399	109	47	condition	condition	NOUN
ap-5399	109	48	of	of	ADP
ap-5399	109	49	the	the	DET
ap-5399	109	50	third	third	ADJ
ap-5399	109	51	kind	kind	NOUN
ap-5399	109	52	and	and	CCONJ
ap-5399	109	53	is	be	AUX
ap-5399	109	54	defined	define	VERB
ap-5399	109	55	as	as	ADP
ap-5399	109	56	:	:	PUNCT
ap-5399	109	57	−λ∂(t	−λ∂(t	NUM
ap-5399	109	58	−	−	PROPN
ap-5399	109	59	t0	t0	PROPN
ap-5399	109	60	)	)	PUNCT
ap-5399	110	1	∂z	∂z	PROPN
ap-5399	110	2	∣∣∣∣	∣∣∣∣	NOUN
ap-5399	110	3	z=0	z=0	PROPN
ap-5399	110	4	=	=	PUNCT
ap-5399	110	5	q̂	q̂	NUM
ap-5399	110	6	h(t)−	h(t)−	PROPN
ap-5399	110	7	α0	α0	PROPN
ap-5399	110	8	(	(	PUNCT
ap-5399	110	9	t	t	PROPN
ap-5399	110	10	−	−	PROPN
ap-5399	110	11	tf	tf	INTJ
ap-5399	110	12	)	)	PUNCT
ap-5399	110	13	|z=0	|z=0	PROPN
ap-5399	110	14	.	.	PUNCT
ap-5399	111	1	(	(	PUNCT
ap-5399	111	2	10	10	NUM
ap-5399	111	3	)	)	PUNCT
ap-5399	111	4	since	since	SCONJ
ap-5399	111	5	this	this	PRON
ap-5399	111	6	is	be	AUX
ap-5399	111	7	a	a	DET
ap-5399	111	8	non	non	ADJ
ap-5399	111	9	-	-	ADJ
ap-5399	111	10	stationary	stationary	ADJ
ap-5399	111	11	task	task	NOUN
ap-5399	111	12	,	,	PUNCT
ap-5399	111	13	it	it	PRON
ap-5399	111	14	is	be	AUX
ap-5399	111	15	necessary	necessary	ADJ
ap-5399	111	16	to	to	PART
ap-5399	111	17	add	add	VERB
ap-5399	111	18	the	the	DET
ap-5399	111	19	initial	initial	ADJ
ap-5399	111	20	condition	condition	NOUN
ap-5399	111	21	to	to	ADP
ap-5399	111	22	these	these	DET
ap-5399	111	23	equations	equation	NOUN
ap-5399	111	24	.	.	PUNCT
ap-5399	112	1	we	we	PRON
ap-5399	112	2	have	have	AUX
ap-5399	112	3	now	now	ADV
ap-5399	112	4	assumed	assume	VERB
ap-5399	112	5	that	that	SCONJ
ap-5399	112	6	the	the	DET
ap-5399	112	7	initial	initial	ADJ
ap-5399	112	8	temperature	temperature	NOUN
ap-5399	112	9	t0	t0	PROPN
ap-5399	112	10	is	be	AUX
ap-5399	112	11	identical	identical	ADJ
ap-5399	112	12	to	to	ADP
ap-5399	112	13	the	the	DET
ap-5399	112	14	ambient	ambient	ADJ
ap-5399	112	15	temperature	temperature	NOUN
ap-5399	112	16	tf	tf	INTJ
ap-5399	112	17	,	,	PUNCT
ap-5399	112	18	i.e.	i.e.	X
ap-5399	112	19	the	the	DET
ap-5399	112	20	system	system	NOUN
ap-5399	112	21	was	be	AUX
ap-5399	112	22	originally	originally	ADV
ap-5399	112	23	in	in	ADP
ap-5399	112	24	the	the	DET
ap-5399	112	25	state	state	NOUN
ap-5399	112	26	of	of	ADP
ap-5399	112	27	a	a	DET
ap-5399	112	28	thermodynamic	thermodynamic	ADJ
ap-5399	112	29	equilibrium	equilibrium	NOUN
ap-5399	112	30	,	,	PUNCT
ap-5399	112	31	we	we	PRON
ap-5399	112	32	see	see	VERB
ap-5399	112	33	from	from	ADP
ap-5399	112	34	equations	equation	NOUN
ap-5399	112	35	(	(	PUNCT
ap-5399	112	36	8	8	NUM
ap-5399	112	37	–	–	SYM
ap-5399	112	38	11	11	NUM
ap-5399	112	39	)	)	PUNCT
ap-5399	112	40	that	that	SCONJ
ap-5399	112	41	t0	t0	PROPN
ap-5399	112	42	(	(	PUNCT
ap-5399	112	43	or	or	CCONJ
ap-5399	112	44	tf	tf	INTJ
ap-5399	112	45	)	)	PUNCT
ap-5399	112	46	is	be	AUX
ap-5399	112	47	only	only	ADV
ap-5399	112	48	the	the	DET
ap-5399	112	49	additive	additive	ADJ
ap-5399	112	50	constant	constant	NOUN
ap-5399	112	51	and	and	CCONJ
ap-5399	112	52	equations	equation	NOUN
ap-5399	112	53	(	(	PUNCT
ap-5399	112	54	8	8	NUM
ap-5399	112	55	–	–	SYM
ap-5399	112	56	11	11	NUM
ap-5399	112	57	)	)	PUNCT
ap-5399	112	58	)	)	PUNCT
ap-5399	113	1	we	we	PRON
ap-5399	113	2	can	can	AUX
ap-5399	113	3	formulate	formulate	VERB
ap-5399	113	4	for	for	ADP
ap-5399	113	5	t0	t0	X
ap-5399	113	6	=	=	PUNCT
ap-5399	114	1	tf	tf	PROPN
ap-5399	114	2	=	=	SYM
ap-5399	114	3	0	0	PUNCT
ap-5399	114	4	(	(	PUNCT
ap-5399	114	5	11	11	NUM
ap-5399	114	6	)	)	PUNCT
ap-5399	114	7	regardless	regardless	ADV
ap-5399	114	8	of	of	ADP
ap-5399	114	9	the	the	DET
ap-5399	114	10	generatily	generatily	NOUN
ap-5399	114	11	of	of	ADP
ap-5399	114	12	the	the	DET
ap-5399	114	13	problem	problem	NOUN
ap-5399	114	14	.	.	PUNCT
ap-5399	115	1	this	this	DET
ap-5399	115	2	initial	initial	ADJ
ap-5399	115	3	condition	condition	NOUN
ap-5399	115	4	will	will	AUX
ap-5399	115	5	simplify	simplify	VERB
ap-5399	115	6	the	the	DET
ap-5399	115	7	equations	equation	NOUN
ap-5399	115	8	as	as	ADV
ap-5399	115	9	well	well	ADV
ap-5399	115	10	as	as	ADP
ap-5399	115	11	the	the	DET
ap-5399	115	12	whole	whole	ADJ
ap-5399	115	13	solution	solution	NOUN
ap-5399	115	14	.	.	PUNCT
ap-5399	116	1	3	3	X
ap-5399	116	2	.	.	X
ap-5399	116	3	problem	problem	NOUN
ap-5399	116	4	solving	solve	VERB
ap-5399	116	5	we	we	PRON
ap-5399	116	6	solved	solve	VERB
ap-5399	116	7	this	this	DET
ap-5399	116	8	problem	problem	NOUN
ap-5399	116	9	in	in	ADP
ap-5399	116	10	the	the	DET
ap-5399	116	11	subsections	subsection	NOUN
ap-5399	116	12	:	:	PUNCT
ap-5399	116	13	general	general	ADJ
ap-5399	116	14	solution	solution	NOUN
ap-5399	116	15	,	,	PUNCT
ap-5399	116	16	application	application	NOUN
ap-5399	116	17	of	of	ADP
ap-5399	116	18	boundary	boundary	ADJ
ap-5399	116	19	conditions	condition	NOUN
ap-5399	116	20	and	and	CCONJ
ap-5399	116	21	the	the	DET
ap-5399	116	22	particular	particular	ADJ
ap-5399	116	23	solution	solution	NOUN
ap-5399	116	24	.	.	PUNCT
ap-5399	117	1	3.1	3.1	NUM
ap-5399	117	2	.	.	PUNCT
ap-5399	117	3	general	general	ADJ
ap-5399	117	4	solution	solution	NOUN
ap-5399	117	5	to	to	PART
ap-5399	117	6	solve	solve	VERB
ap-5399	117	7	this	this	DET
ap-5399	117	8	system	system	NOUN
ap-5399	117	9	of	of	ADP
ap-5399	117	10	a	a	DET
ap-5399	117	11	partial	partial	ADJ
ap-5399	117	12	differential	differential	NOUN
ap-5399	117	13	equation	equation	NOUN
ap-5399	117	14	(	(	PUNCT
ap-5399	117	15	8)	8)	NUM
ap-5399	117	16	,	,	PUNCT
ap-5399	117	17	two	two	NUM
ap-5399	117	18	boundary	boundary	ADJ
ap-5399	117	19	conditions	condition	NOUN
ap-5399	117	20	(	(	PUNCT
ap-5399	117	21	9	9	NUM
ap-5399	117	22	)	)	PUNCT
ap-5399	117	23	,	,	PUNCT
ap-5399	117	24	(	(	PUNCT
ap-5399	117	25	10	10	NUM
ap-5399	117	26	)	)	PUNCT
ap-5399	117	27	and	and	CCONJ
ap-5399	117	28	initial	initial	ADJ
ap-5399	117	29	condition	condition	NOUN
ap-5399	117	30	(	(	PUNCT
ap-5399	117	31	11	11	NUM
ap-5399	117	32	)	)	PUNCT
ap-5399	117	33	,	,	PUNCT
ap-5399	117	34	we	we	PRON
ap-5399	117	35	first	first	ADV
ap-5399	117	36	transformed	transform	VERB
ap-5399	117	37	the	the	DET
ap-5399	117	38	system	system	NOUN
ap-5399	117	39	into	into	ADP
ap-5399	117	40	a	a	DET
ap-5399	117	41	partial	partial	ADJ
ap-5399	117	42	dimensionlessness	dimensionlessness	NOUN
ap-5399	117	43	for	for	ADP
ap-5399	117	44	a	a	DET
ap-5399	117	45	simpler	simple	ADJ
ap-5399	117	46	solution	solution	NOUN
ap-5399	117	47	.	.	PUNCT
ap-5399	118	1	as	as	ADP
ap-5399	118	2	the	the	DET
ap-5399	118	3	first	first	ADJ
ap-5399	118	4	transformation	transformation	NOUN
ap-5399	118	5	,	,	PUNCT
ap-5399	118	6	we	we	PRON
ap-5399	118	7	converted	convert	VERB
ap-5399	118	8	the	the	DET
ap-5399	118	9	z	z	NOUN
ap-5399	118	10	coordinate	coordinate	NOUN
ap-5399	118	11	and	and	CCONJ
ap-5399	118	12	defined	define	VERB
ap-5399	118	13	the	the	DET
ap-5399	118	14	dimensionless	dimensionless	NOUN
ap-5399	118	15	coordinate	coordinate	NOUN
ap-5399	118	16	z′	z′	NUM
ap-5399	118	17	as	as	ADP
ap-5399	118	18	z′	z′	NUM
ap-5399	118	19	=	=	SYM
ap-5399	118	20	z	z	PROPN
ap-5399	118	21	δ	δ	NOUN
ap-5399	118	22	,	,	PUNCT
ap-5399	118	23	(	(	PUNCT
ap-5399	118	24	12	12	NUM
ap-5399	118	25	)	)	PUNCT
ap-5399	118	26	which	which	PRON
ap-5399	118	27	is	be	AUX
ap-5399	118	28	very	very	ADV
ap-5399	118	29	often	often	ADV
ap-5399	118	30	seen	see	VERB
ap-5399	118	31	in	in	ADP
ap-5399	118	32	the	the	DET
ap-5399	118	33	literature	literature	NOUN
ap-5399	118	34	.	.	PUNCT
ap-5399	119	1	another	another	DET
ap-5399	119	2	variable	variable	NOUN
ap-5399	119	3	is	be	AUX
ap-5399	119	4	the	the	DET
ap-5399	119	5	time	time	NOUN
ap-5399	119	6	t	t	PROPN
ap-5399	119	7	,	,	PUNCT
ap-5399	119	8	which	which	PRON
ap-5399	119	9	we	we	PRON
ap-5399	119	10	transformed	transform	VERB
ap-5399	119	11	into	into	ADP
ap-5399	119	12	a	a	DET
ap-5399	119	13	dimensionless	dimensionless	ADJ
ap-5399	119	14	time	time	NOUN
ap-5399	119	15	t′	t′	NUM
ap-5399	119	16	as	as	SCONJ
ap-5399	119	17	follows	follow	VERB
ap-5399	119	18	t′	t′	X
ap-5399	119	19	=	=	PUNCT
ap-5399	119	20	a	a	DET
ap-5399	119	21	t	t	NOUN
ap-5399	119	22	δ2	δ2	VERB
ap-5399	119	23	.	.	PUNCT
ap-5399	120	1	(	(	PUNCT
ap-5399	120	2	13	13	NUM
ap-5399	120	3	)	)	PUNCT
ap-5399	120	4	by	by	ADP
ap-5399	120	5	introducing	introduce	VERB
ap-5399	120	6	dimensionless	dimensionless	NOUN
ap-5399	120	7	variables	variable	NOUN
ap-5399	120	8	into	into	ADP
ap-5399	120	9	the	the	DET
ap-5399	120	10	fourier	fourier	ADJ
ap-5399	120	11	heat	heat	NOUN
ap-5399	120	12	conduction	conduction	NOUN
ap-5399	120	13	equation	equation	NOUN
ap-5399	120	14	(	(	PUNCT
ap-5399	120	15	8)	8)	NUM
ap-5399	120	16	,	,	PUNCT
ap-5399	120	17	along	along	ADP
ap-5399	120	18	with	with	ADP
ap-5399	120	19	zero	zero	NUM
ap-5399	120	20	initial	initial	ADJ
ap-5399	120	21	condition	condition	NOUN
ap-5399	120	22	,	,	PUNCT
ap-5399	120	23	we	we	PRON
ap-5399	120	24	obtain	obtain	VERB
ap-5399	120	25	an	an	DET
ap-5399	120	26	expression	expression	NOUN
ap-5399	120	27	∂t	∂t	PROPN
ap-5399	120	28	∂t′	∂t′	PROPN
ap-5399	120	29	=	=	SYM
ap-5399	120	30	∂2	∂2	NOUN
ap-5399	120	31	t	t	PROPN
ap-5399	120	32	∂z′2	∂z′2	PROPN
ap-5399	120	33	.	.	PUNCT
ap-5399	121	1	(	(	PUNCT
ap-5399	121	2	14	14	NUM
ap-5399	121	3	)	)	PUNCT
ap-5399	121	4	by	by	ADP
ap-5399	121	5	the	the	DET
ap-5399	121	6	laplace	laplace	NOUN
ap-5399	121	7	’s	’s	PART
ap-5399	121	8	transformation	transformation	NOUN
ap-5399	121	9	we	we	PRON
ap-5399	121	10	can	can	AUX
ap-5399	121	11	convert	convert	VERB
ap-5399	121	12	this	this	DET
ap-5399	121	13	equation	equation	NOUN
ap-5399	121	14	into	into	ADP
ap-5399	121	15	the	the	DET
ap-5399	121	16	ordinary	ordinary	ADJ
ap-5399	121	17	differential	differential	ADJ
ap-5399	121	18	equation	equation	NOUN
ap-5399	121	19	in	in	ADP
ap-5399	121	20	the	the	DET
ap-5399	121	21	laplace	laplace	NOUN
ap-5399	121	22	’s	’s	PART
ap-5399	121	23	space	space	NOUN
ap-5399	121	24	.	.	PUNCT
ap-5399	122	1	l	l	NOUN
ap-5399	123	1	(	(	PUNCT
ap-5399	123	2	∂t	∂t	PROPN
ap-5399	123	3	∂t′	∂t′	ADJ
ap-5399	123	4	)	)	PUNCT
ap-5399	124	1	=	=	SYM
ap-5399	124	2	l	l	NOUN
ap-5399	124	3	(	(	PUNCT
ap-5399	124	4	∂2	∂2	PROPN
ap-5399	124	5	t	t	PROPN
ap-5399	124	6	∂z′2	∂z′2	PROPN
ap-5399	124	7	)	)	PUNCT
ap-5399	124	8	.	.	PUNCT
ap-5399	125	1	(	(	PUNCT
ap-5399	125	2	15	15	X
ap-5399	125	3	)	)	PUNCT
ap-5399	125	4	we	we	PRON
ap-5399	125	5	find	find	VERB
ap-5399	125	6	suitable	suitable	ADJ
ap-5399	125	7	transformations	transformation	NOUN
ap-5399	125	8	of	of	ADP
ap-5399	125	9	the	the	DET
ap-5399	125	10	expressions	expression	NOUN
ap-5399	125	11	in	in	ADP
ap-5399	125	12	the	the	DET
ap-5399	125	13	“	"	PUNCT
ap-5399	125	14	dictionary	dictionary	NOUN
ap-5399	125	15	”	"	PUNCT
ap-5399	125	16	to	to	PART
ap-5399	125	17	create	create	VERB
ap-5399	125	18	an	an	DET
ap-5399	125	19	image	image	NOUN
ap-5399	125	20	t	t	NOUN
ap-5399	125	21	of	of	ADP
ap-5399	125	22	this	this	DET
ap-5399	125	23	equation	equation	NOUN
ap-5399	125	24	s	s	PART
ap-5399	125	25	t	t	NOUN
ap-5399	125	26	(	(	PUNCT
ap-5399	125	27	z′	z′	PROPN
ap-5399	125	28	,	,	PUNCT
ap-5399	125	29	s)−	s)−	PROPN
ap-5399	125	30	t	t	PROPN
ap-5399	125	31	(	(	PUNCT
ap-5399	125	32	z′	z′	PROPN
ap-5399	125	33	,	,	PUNCT
ap-5399	125	34	0	0	NUM
ap-5399	125	35	)	)	PUNCT
ap-5399	125	36	=	=	SYM
ap-5399	125	37	d2	d2	PROPN
ap-5399	125	38	t	t	NOUN
ap-5399	125	39	dz′2	dz′2	NOUN
ap-5399	125	40	.	.	PUNCT
ap-5399	126	1	(	(	PUNCT
ap-5399	126	2	16	16	NUM
ap-5399	126	3	)	)	PUNCT
ap-5399	126	4	the	the	DET
ap-5399	126	5	second	second	ADJ
ap-5399	126	6	expression	expression	NOUN
ap-5399	126	7	on	on	ADP
ap-5399	126	8	the	the	DET
ap-5399	126	9	left	left	ADJ
ap-5399	126	10	hand	hand	NOUN
ap-5399	126	11	side	side	NOUN
ap-5399	126	12	of	of	ADP
ap-5399	126	13	this	this	DET
ap-5399	126	14	equation	equation	NOUN
ap-5399	126	15	represents	represent	VERB
ap-5399	126	16	the	the	DET
ap-5399	126	17	temperature	temperature	NOUN
ap-5399	126	18	t	t	NOUN
ap-5399	126	19	at	at	ADP
ap-5399	126	20	z′	z′	NUM
ap-5399	126	21	and	and	CCONJ
ap-5399	126	22	at	at	ADP
ap-5399	126	23	time	time	NOUN
ap-5399	126	24	0	0	NUM
ap-5399	126	25	.	.	PUNCT
ap-5399	127	1	this	this	DET
ap-5399	127	2	temperature	temperature	NOUN
ap-5399	127	3	is	be	AUX
ap-5399	127	4	already	already	ADV
ap-5399	127	5	defined	define	VERB
ap-5399	127	6	by	by	ADP
ap-5399	127	7	the	the	DET
ap-5399	127	8	initial	initial	ADJ
ap-5399	127	9	condition	condition	NOUN
ap-5399	127	10	t0	t0	PROPN
ap-5399	127	11	=	=	SYM
ap-5399	127	12	0	0	PUNCT
ap-5399	128	1	and	and	CCONJ
ap-5399	128	2	so	so	ADV
ap-5399	128	3	the	the	DET
ap-5399	128	4	equation	equation	NOUN
ap-5399	128	5	will	will	AUX
ap-5399	128	6	simplify	simplify	VERB
ap-5399	128	7	to	to	ADP
ap-5399	128	8	d2	d2	PROPN
ap-5399	128	9	t	t	PROPN
ap-5399	128	10	dz′2	dz′2	ADJ
ap-5399	129	1	−	−	PROPN
ap-5399	129	2	s	s	PART
ap-5399	129	3	t	t	PROPN
ap-5399	129	4	(	(	PUNCT
ap-5399	129	5	z′	z′	PROPN
ap-5399	129	6	,	,	PUNCT
ap-5399	129	7	s	s	PART
ap-5399	129	8	)	)	PUNCT
ap-5399	129	9	=	=	SYM
ap-5399	129	10	0	0	X
ap-5399	129	11	.	.	PUNCT
ap-5399	130	1	(	(	PUNCT
ap-5399	130	2	17	17	NUM
ap-5399	130	3	)	)	PUNCT
ap-5399	130	4	414	414	NUM
ap-5399	130	5	vol	vol	NOUN
ap-5399	130	6	.	.	PUNCT
ap-5399	131	1	59	59	NUM
ap-5399	131	2	no	no	NOUN
ap-5399	131	3	.	.	PUNCT
ap-5399	132	1	4/2019	4/2019	NUM
ap-5399	132	2	derivation	derivation	NOUN
ap-5399	132	3	of	of	ADP
ap-5399	132	4	a	a	DET
ap-5399	132	5	new	new	ADJ
ap-5399	132	6	contactless	contactless	NOUN
ap-5399	132	7	method	method	NOUN
ap-5399	132	8	this	this	DET
ap-5399	132	9	equation	equation	NOUN
ap-5399	132	10	is	be	AUX
ap-5399	132	11	a	a	DET
ap-5399	132	12	homogeneous	homogeneous	ADJ
ap-5399	132	13	second	second	ADJ
ap-5399	132	14	order	order	NOUN
ap-5399	132	15	differential	differential	ADJ
ap-5399	132	16	equation	equation	NOUN
ap-5399	132	17	with	with	ADP
ap-5399	132	18	constant	constant	ADJ
ap-5399	132	19	coefficients	coefficient	NOUN
ap-5399	132	20	that	that	PRON
ap-5399	132	21	can	can	AUX
ap-5399	132	22	be	be	AUX
ap-5399	132	23	solved	solve	VERB
ap-5399	132	24	using	use	VERB
ap-5399	132	25	the	the	DET
ap-5399	132	26	characteristics	characteristic	NOUN
ap-5399	132	27	.	.	PUNCT
ap-5399	133	1	the	the	DET
ap-5399	133	2	characteristic	characteristic	ADJ
ap-5399	133	3	equation	equation	NOUN
ap-5399	133	4	is	be	AUX
ap-5399	133	5	in	in	ADP
ap-5399	133	6	this	this	DET
ap-5399	133	7	case	case	NOUN
ap-5399	133	8	λ2	λ2	NOUN
ap-5399	133	9	c	c	NOUN
ap-5399	134	1	−	−	NOUN
ap-5399	134	2	s	s	PART
ap-5399	134	3	=	=	NOUN
ap-5399	134	4	0	0	NUM
ap-5399	134	5	,	,	PUNCT
ap-5399	134	6	(	(	PUNCT
ap-5399	134	7	18	18	NUM
ap-5399	134	8	)	)	PUNCT
ap-5399	134	9	and	and	CCONJ
ap-5399	134	10	the	the	DET
ap-5399	134	11	roots	root	NOUN
ap-5399	134	12	of	of	ADP
ap-5399	134	13	equation	equation	NOUN
ap-5399	134	14	λc	λc	X
ap-5399	134	15	are	be	AUX
ap-5399	134	16	then	then	ADV
ap-5399	134	17	equal	equal	ADJ
ap-5399	134	18	to	to	ADP
ap-5399	134	19	λc	λc	NOUN
ap-5399	134	20	=	=	PUNCT
ap-5399	134	21	±	±	PROPN
ap-5399	135	1	√	√	PROPN
ap-5399	135	2	s	s	PART
ap-5399	135	3	(	(	PUNCT
ap-5399	135	4	19	19	NUM
ap-5399	135	5	)	)	PUNCT
ap-5399	135	6	and	and	CCONJ
ap-5399	135	7	the	the	DET
ap-5399	135	8	general	general	ADJ
ap-5399	135	9	solution	solution	NOUN
ap-5399	135	10	of	of	ADP
ap-5399	135	11	this	this	DET
ap-5399	135	12	equation	equation	NOUN
ap-5399	135	13	can	can	AUX
ap-5399	135	14	,	,	PUNCT
ap-5399	135	15	therefore	therefore	ADV
ap-5399	135	16	,	,	PUNCT
ap-5399	135	17	be	be	AUX
ap-5399	135	18	found	find	VERB
ap-5399	135	19	in	in	ADP
ap-5399	135	20	the	the	DET
ap-5399	135	21	form	form	NOUN
ap-5399	135	22	of	of	ADP
ap-5399	135	23	a	a	DET
ap-5399	135	24	sum	sum	NOUN
ap-5399	135	25	of	of	ADP
ap-5399	135	26	hyperbolic	hyperbolic	ADJ
ap-5399	135	27	functions	function	NOUN
ap-5399	135	28	t	t	NOUN
ap-5399	135	29	(	(	PUNCT
ap-5399	135	30	z′	z′	PROPN
ap-5399	135	31	,	,	PUNCT
ap-5399	135	32	s	s	PART
ap-5399	135	33	)	)	PUNCT
ap-5399	135	34	=	=	SYM
ap-5399	135	35	c1	c1	PROPN
ap-5399	135	36	sinh	sinh	PROPN
ap-5399	135	37	(	(	PUNCT
ap-5399	135	38	√	√	PROPN
ap-5399	135	39	s	s	NOUN
ap-5399	135	40	z′	z′	NUM
ap-5399	135	41	)	)	PUNCT
ap-5399	136	1	+	+	CCONJ
ap-5399	136	2	c2	c2	PROPN
ap-5399	136	3	cosh	cosh	PROPN
ap-5399	136	4	(	(	PUNCT
ap-5399	136	5	√	√	PROPN
ap-5399	136	6	s	s	NOUN
ap-5399	136	7	z′	z′	NUM
ap-5399	136	8	)	)	PUNCT
ap-5399	136	9	,	,	PUNCT
ap-5399	136	10	(	(	PUNCT
ap-5399	136	11	20	20	NUM
ap-5399	136	12	)	)	PUNCT
ap-5399	136	13	where	where	SCONJ
ap-5399	136	14	c1	c1	PROPN
ap-5399	136	15	and	and	CCONJ
ap-5399	136	16	c2	c2	PROPN
ap-5399	136	17	are	be	AUX
ap-5399	136	18	constants	constant	NOUN
ap-5399	136	19	that	that	PRON
ap-5399	136	20	must	must	AUX
ap-5399	136	21	be	be	AUX
ap-5399	136	22	solved	solve	VERB
ap-5399	136	23	by	by	ADP
ap-5399	136	24	determined	determined	ADJ
ap-5399	136	25	conditions	condition	NOUN
ap-5399	136	26	.	.	PUNCT
ap-5399	137	1	3.2	3.2	NUM
ap-5399	137	2	.	.	PUNCT
ap-5399	137	3	transformation	transformation	NOUN
ap-5399	137	4	and	and	CCONJ
ap-5399	137	5	application	application	NOUN
ap-5399	137	6	of	of	ADP
ap-5399	137	7	boundary	boundary	ADJ
ap-5399	137	8	conditions	condition	NOUN
ap-5399	137	9	both	both	DET
ap-5399	137	10	boundary	boundary	ADJ
ap-5399	137	11	conditions	condition	NOUN
ap-5399	137	12	must	must	AUX
ap-5399	137	13	be	be	AUX
ap-5399	137	14	transformed	transform	VERB
ap-5399	137	15	into	into	ADP
ap-5399	137	16	the	the	DET
ap-5399	137	17	same	same	ADJ
ap-5399	137	18	dimensionless	dimensionless	NOUN
ap-5399	137	19	variables	variable	NOUN
ap-5399	137	20	as	as	ADP
ap-5399	137	21	the	the	DET
ap-5399	137	22	main	main	ADJ
ap-5399	137	23	equation	equation	NOUN
ap-5399	137	24	and	and	CCONJ
ap-5399	137	25	the	the	DET
ap-5399	137	26	initial	initial	ADJ
ap-5399	137	27	condition	condition	NOUN
ap-5399	137	28	t0	t0	NOUN
ap-5399	138	1	=	=	PUNCT
ap-5399	138	2	tf	tf	PROPN
ap-5399	138	3	=	=	SYM
ap-5399	138	4	0	0	NUM
ap-5399	138	5	applied	apply	VERB
ap-5399	138	6	to	to	ADP
ap-5399	138	7	them	they	PRON
ap-5399	138	8	as	as	ADV
ap-5399	138	9	well	well	ADV
ap-5399	138	10	as	as	ADP
ap-5399	138	11	to	to	ADP
ap-5399	138	12	the	the	DET
ap-5399	138	13	main	main	ADJ
ap-5399	138	14	equation	equation	NOUN
ap-5399	138	15	.	.	PUNCT
ap-5399	139	1	z′	z′	X
ap-5399	139	2	=	=	SYM
ap-5399	139	3	1→	1→	NUM
ap-5399	139	4	−λ∂t	−λ∂t	NOUN
ap-5399	139	5	∂z′	∂z′	ADJ
ap-5399	139	6	∣∣∣∣	∣∣∣∣	PROPN
ap-5399	139	7	z′=1	z′=1	PROPN
ap-5399	139	8	=	=	PUNCT
ap-5399	139	9	αδ	αδ	ADP
ap-5399	139	10	δ	δ	PROPN
ap-5399	139	11	t	t	PROPN
ap-5399	139	12	|z′=1	|z′=1	PROPN
ap-5399	139	13	(	(	PUNCT
ap-5399	139	14	21	21	NUM
ap-5399	139	15	)	)	PUNCT
ap-5399	139	16	and	and	CCONJ
ap-5399	139	17	for	for	ADP
ap-5399	139	18	the	the	DET
ap-5399	139	19	left	left	ADJ
ap-5399	139	20	hand	hand	NOUN
ap-5399	139	21	side	side	NOUN
ap-5399	139	22	boundary	boundary	ADJ
ap-5399	139	23	condition	condition	NOUN
ap-5399	139	24	z′	z′	NUM
ap-5399	139	25	=	=	SYM
ap-5399	139	26	0→	0→	PROPN
ap-5399	139	27	−λ∂t	−λ∂t	NOUN
ap-5399	139	28	∂z′	∂z′	ADJ
ap-5399	139	29	∣∣∣∣	∣∣∣∣	PROPN
ap-5399	139	30	z′=0	z′=0	PROPN
ap-5399	139	31	=	=	SYM
ap-5399	139	32	q̂	q̂	NUM
ap-5399	139	33	h(t)−	h(t)−	PROPN
ap-5399	139	34	α0	α0	PROPN
ap-5399	139	35	δ	δ	PROPN
ap-5399	139	36	t	t	PROPN
ap-5399	139	37	|z′=0	|z′=0	PROPN
ap-5399	139	38	.	.	PUNCT
ap-5399	140	1	(	(	PUNCT
ap-5399	140	2	22	22	NUM
ap-5399	140	3	)	)	PUNCT
ap-5399	140	4	if	if	SCONJ
ap-5399	140	5	we	we	PRON
ap-5399	140	6	perform	perform	VERB
ap-5399	140	7	the	the	DET
ap-5399	140	8	laplace	laplace	NOUN
ap-5399	140	9	’s	’s	PART
ap-5399	140	10	forward	forward	ADJ
ap-5399	140	11	transformation	transformation	NOUN
ap-5399	140	12	,	,	PUNCT
ap-5399	140	13	we	we	PRON
ap-5399	140	14	get	get	VERB
ap-5399	140	15	images	image	NOUN
ap-5399	140	16	of	of	ADP
ap-5399	140	17	both	both	DET
ap-5399	140	18	boundary	boundary	ADJ
ap-5399	140	19	conditions	condition	NOUN
ap-5399	140	20	z′	z′	NUM
ap-5399	140	21	=	=	SYM
ap-5399	140	22	1→	1→	NUM
ap-5399	140	23	−dt	−dt	NOUN
ap-5399	140	24	(	(	PUNCT
ap-5399	140	25	1	1	NUM
ap-5399	140	26	,	,	PUNCT
ap-5399	140	27	s	s	PART
ap-5399	140	28	)	)	PUNCT
ap-5399	140	29	dz′	dz′	NOUN
ap-5399	140	30	=	=	PUNCT
ap-5399	140	31	αδ	αδ	ADP
ap-5399	140	32	δ	δ	PROPN
ap-5399	140	33	λ	λ	PROPN
ap-5399	140	34	t	t	PROPN
ap-5399	140	35	(	(	PUNCT
ap-5399	140	36	1	1	NUM
ap-5399	140	37	,	,	PUNCT
ap-5399	140	38	s	s	NOUN
ap-5399	140	39	)	)	PUNCT
ap-5399	140	40	(	(	PUNCT
ap-5399	140	41	23	23	NUM
ap-5399	140	42	)	)	PUNCT
ap-5399	140	43	and	and	CCONJ
ap-5399	140	44	z′	z′	NUM
ap-5399	140	45	=	=	SYM
ap-5399	140	46	0→	0→	NUM
ap-5399	140	47	−dt	−dt	NUM
ap-5399	140	48	(	(	PUNCT
ap-5399	140	49	0	0	NUM
ap-5399	140	50	,	,	PUNCT
ap-5399	140	51	s	s	PART
ap-5399	140	52	)	)	PUNCT
ap-5399	140	53	dz′	dz′	NOUN
ap-5399	140	54	=	=	SYM
ap-5399	140	55	1	1	NUM
ap-5399	140	56	s	s	PART
ap-5399	140	57	q̂	q̂	DET
ap-5399	140	58	δ	δ	PROPN
ap-5399	140	59	λ	λ	PROPN
ap-5399	140	60	−	−	PROPN
ap-5399	140	61	α0	α0	PROPN
ap-5399	140	62	δ	δ	PROPN
ap-5399	140	63	λ	λ	PROPN
ap-5399	140	64	t	t	PROPN
ap-5399	140	65	(	(	PUNCT
ap-5399	140	66	0	0	NUM
ap-5399	140	67	,	,	PUNCT
ap-5399	140	68	s	s	PART
ap-5399	140	69	)	)	PUNCT
ap-5399	140	70	(	(	PUNCT
ap-5399	140	71	24	24	NUM
ap-5399	140	72	)	)	PUNCT
ap-5399	140	73	because	because	SCONJ
ap-5399	140	74	boundary	boundary	ADJ
ap-5399	140	75	conditions	condition	NOUN
ap-5399	140	76	are	be	AUX
ap-5399	140	77	expressed	express	VERB
ap-5399	140	78	by	by	ADP
ap-5399	140	79	derivatives	derivative	NOUN
ap-5399	140	80	on	on	ADP
ap-5399	140	81	both	both	DET
ap-5399	140	82	left	leave	VERB
ap-5399	140	83	hand	hand	NOUN
ap-5399	140	84	sides	side	NOUN
ap-5399	140	85	,	,	PUNCT
ap-5399	140	86	it	it	PRON
ap-5399	140	87	is	be	AUX
ap-5399	140	88	necessary	necessary	ADJ
ap-5399	140	89	to	to	PART
ap-5399	140	90	calculate	calculate	VERB
ap-5399	140	91	the	the	DET
ap-5399	140	92	derivative	derivative	NOUN
ap-5399	140	93	of	of	ADP
ap-5399	140	94	the	the	DET
ap-5399	140	95	general	general	ADJ
ap-5399	140	96	solution	solution	NOUN
ap-5399	140	97	.	.	PUNCT
ap-5399	141	1	dt	dt	PUNCT
ap-5399	141	2	(	(	PUNCT
ap-5399	141	3	z′	z′	PROPN
ap-5399	141	4	,	,	PUNCT
ap-5399	141	5	s	s	PART
ap-5399	141	6	)	)	PUNCT
ap-5399	141	7	dz′	dz′	NOUN
ap-5399	142	1	=	=	PUNCT
ap-5399	142	2	c1	c1	PROPN
ap-5399	142	3	√	√	PROPN
ap-5399	142	4	s	s	PART
ap-5399	142	5	cosh	cosh	NOUN
ap-5399	142	6	(	(	PUNCT
ap-5399	142	7	√	√	NUM
ap-5399	142	8	s	s	NOUN
ap-5399	142	9	z′	z′	NUM
ap-5399	142	10	)	)	PUNCT
ap-5399	143	1	+	+	CCONJ
ap-5399	143	2	c2	c2	PROPN
ap-5399	143	3	√	√	PROPN
ap-5399	143	4	s	s	PART
ap-5399	143	5	sinh	sinh	NOUN
ap-5399	143	6	(	(	PUNCT
ap-5399	143	7	√	√	PROPN
ap-5399	143	8	s	s	NOUN
ap-5399	143	9	z′	z′	NUM
ap-5399	143	10	)	)	PUNCT
ap-5399	143	11	.	.	PUNCT
ap-5399	144	1	(	(	PUNCT
ap-5399	144	2	25	25	NUM
ap-5399	144	3	)	)	PUNCT
ap-5399	144	4	applying	apply	VERB
ap-5399	144	5	the	the	DET
ap-5399	144	6	coordinate	coordinate	NOUN
ap-5399	144	7	z′	z′	NUM
ap-5399	144	8	=	=	SYM
ap-5399	144	9	0	0	NUM
ap-5399	144	10	to	to	ADP
ap-5399	144	11	the	the	DET
ap-5399	144	12	equation	equation	NOUN
ap-5399	144	13	of	of	ADP
ap-5399	144	14	the	the	DET
ap-5399	144	15	general	general	ADJ
ap-5399	144	16	solution	solution	NOUN
ap-5399	144	17	we	we	PRON
ap-5399	144	18	obtain	obtain	VERB
ap-5399	144	19	t	t	NOUN
ap-5399	144	20	(	(	PUNCT
ap-5399	144	21	0	0	NUM
ap-5399	144	22	,	,	PUNCT
ap-5399	144	23	s	s	NOUN
ap-5399	144	24	)	)	PUNCT
ap-5399	144	25	=	=	SYM
ap-5399	144	26	c1	c1	PROPN
ap-5399	144	27	sinh(0)︸	sinh(0)︸	VERB
ap-5399	144	28	︷︷	︷︷	PROPN
ap-5399	144	29	︸	︸	X
ap-5399	145	1	=	=	NOUN
ap-5399	145	2	0	0	NOUN
ap-5399	145	3	+	+	ADJ
ap-5399	145	4	c2	c2	PROPN
ap-5399	145	5	cosh(0)︸	cosh(0)︸	NOUN
ap-5399	145	6	︷︷	︷︷	PROPN
ap-5399	145	7	︸	︸	X
ap-5399	146	1	=	=	NOUN
ap-5399	146	2	1	1	NUM
ap-5399	146	3	(	(	PUNCT
ap-5399	146	4	26	26	NUM
ap-5399	146	5	)	)	PUNCT
ap-5399	146	6	where	where	SCONJ
ap-5399	146	7	the	the	DET
ap-5399	146	8	individual	individual	ADJ
ap-5399	146	9	hyperbolic	hyperbolic	ADJ
ap-5399	146	10	functions	function	NOUN
ap-5399	146	11	are	be	AUX
ap-5399	146	12	already	already	ADV
ap-5399	146	13	expressed	express	VERB
ap-5399	146	14	by	by	ADP
ap-5399	146	15	their	their	PRON
ap-5399	146	16	values	value	NOUN
ap-5399	146	17	.	.	PUNCT
ap-5399	147	1	by	by	ADP
ap-5399	147	2	applying	apply	VERB
ap-5399	147	3	this	this	DET
ap-5399	147	4	coordinate	coordinate	NOUN
ap-5399	147	5	to	to	ADP
ap-5399	147	6	the	the	DET
ap-5399	147	7	derivative	derivative	NOUN
ap-5399	147	8	of	of	ADP
ap-5399	147	9	the	the	DET
ap-5399	147	10	general	general	ADJ
ap-5399	147	11	solution	solution	NOUN
ap-5399	147	12	we	we	PRON
ap-5399	147	13	obtain	obtain	VERB
ap-5399	147	14	dt	dt	X
ap-5399	147	15	(	(	PUNCT
ap-5399	147	16	0	0	NUM
ap-5399	147	17	,	,	PUNCT
ap-5399	147	18	s	s	PART
ap-5399	147	19	)	)	PUNCT
ap-5399	147	20	dz′	dz′	NOUN
ap-5399	147	21	=	=	PUNCT
ap-5399	147	22	c1	c1	PROPN
ap-5399	147	23	√	√	PROPN
ap-5399	147	24	s	s	PART
ap-5399	147	25	cosh(0)︸	cosh(0)︸	PROPN
ap-5399	147	26	︷︷	︷︷	PROPN
ap-5399	147	27	︸	︸	X
ap-5399	147	28	=	=	NOUN
ap-5399	147	29	1	1	NUM
ap-5399	147	30	+	+	NOUN
ap-5399	147	31	c2	c2	PROPN
ap-5399	147	32	√	√	ADJ
ap-5399	147	33	s	s	NOUN
ap-5399	147	34	sinh(0)︸	sinh(0)︸	PROPN
ap-5399	147	35	︷︷	︷︷	PROPN
ap-5399	147	36	︸	︸	X
ap-5399	147	37	=	=	NOUN
ap-5399	147	38	0	0	NUM
ap-5399	147	39	(	(	PUNCT
ap-5399	147	40	27	27	NUM
ap-5399	147	41	)	)	PUNCT
ap-5399	147	42	where	where	SCONJ
ap-5399	147	43	the	the	DET
ap-5399	147	44	values	value	NOUN
ap-5399	147	45	of	of	ADP
ap-5399	147	46	hyperbolic	hyperbolic	ADJ
ap-5399	147	47	functions	function	NOUN
ap-5399	147	48	are	be	AUX
ap-5399	147	49	again	again	ADV
ap-5399	147	50	expressed	express	VERB
ap-5399	147	51	.	.	PUNCT
ap-5399	148	1	by	by	ADP
ap-5399	148	2	applying	apply	VERB
ap-5399	148	3	the	the	DET
ap-5399	148	4	boundary	boundary	ADJ
ap-5399	148	5	condition	condition	NOUN
ap-5399	148	6	we	we	PRON
ap-5399	148	7	get	get	VERB
ap-5399	148	8	−	−	PROPN
ap-5399	148	9	1	1	NUM
ap-5399	148	10	s	s	NOUN
ap-5399	148	11	q̂	q̂	DET
ap-5399	148	12	δ	δ	NOUN
ap-5399	148	13	λ	λ	X
ap-5399	149	1	+	+	CCONJ
ap-5399	149	2	bi0	bi0	PROPN
ap-5399	149	3	t	t	PROPN
ap-5399	149	4	(	(	PUNCT
ap-5399	149	5	0	0	NUM
ap-5399	149	6	,	,	PUNCT
ap-5399	149	7	s	s	NOUN
ap-5399	149	8	)	)	PUNCT
ap-5399	149	9	=	=	SYM
ap-5399	149	10	c1	c1	PROPN
ap-5399	149	11	√	√	PROPN
ap-5399	149	12	s.	s.	PROPN
ap-5399	149	13	(	(	PUNCT
ap-5399	149	14	28	28	NUM
ap-5399	149	15	)	)	PUNCT
ap-5399	149	16	for	for	ADP
ap-5399	149	17	expression	expression	NOUN
ap-5399	149	18	t	t	PROPN
ap-5399	149	19	(	(	PUNCT
ap-5399	149	20	0	0	NUM
ap-5399	149	21	,	,	PUNCT
ap-5399	149	22	s	s	X
ap-5399	149	23	)	)	PUNCT
ap-5399	149	24	we	we	PRON
ap-5399	149	25	can	can	AUX
ap-5399	149	26	add	add	VERB
ap-5399	149	27	the	the	DET
ap-5399	149	28	solution	solution	NOUN
ap-5399	149	29	(	(	PUNCT
ap-5399	149	30	26	26	NUM
ap-5399	149	31	)	)	PUNCT
ap-5399	149	32	from	from	ADP
ap-5399	149	33	the	the	DET
ap-5399	149	34	general	general	ADJ
ap-5399	149	35	equation	equation	NOUN
ap-5399	149	36	.	.	PUNCT
ap-5399	150	1	by	by	ADP
ap-5399	150	2	assingning	assingne	VERB
ap-5399	150	3	the	the	DET
ap-5399	150	4	t	t	PROPN
ap-5399	150	5	(	(	PUNCT
ap-5399	150	6	0	0	NUM
ap-5399	150	7	,	,	PUNCT
ap-5399	150	8	s	s	PART
ap-5399	150	9	)	)	PUNCT
ap-5399	150	10	,	,	PUNCT
ap-5399	150	11	we	we	PRON
ap-5399	150	12	obtain	obtain	VERB
ap-5399	150	13	the	the	DET
ap-5399	150	14	first	first	ADJ
ap-5399	150	15	equation	equation	NOUN
ap-5399	150	16	for	for	ADP
ap-5399	150	17	solving	solve	VERB
ap-5399	150	18	integration	integration	NOUN
ap-5399	150	19	constants	constant	NOUN
ap-5399	150	20	.	.	PUNCT
ap-5399	151	1	−	−	NUM
ap-5399	151	2	1	1	NUM
ap-5399	151	3	s	s	NOUN
ap-5399	151	4	q̂	q̂	DET
ap-5399	151	5	δ	δ	NOUN
ap-5399	151	6	λ	λ	X
ap-5399	151	7	+	+	CCONJ
ap-5399	151	8	bi0	bi0	PROPN
ap-5399	151	9	c2	c2	PROPN
ap-5399	151	10	=	=	PROPN
ap-5399	151	11	c1	c1	PROPN
ap-5399	151	12	√	√	PROPN
ap-5399	151	13	s	s	PART
ap-5399	151	14	(	(	PUNCT
ap-5399	151	15	29	29	NUM
ap-5399	151	16	)	)	PUNCT
ap-5399	151	17	by	by	ADP
ap-5399	151	18	setting	set	VERB
ap-5399	151	19	the	the	DET
ap-5399	151	20	coordinate	coordinate	NOUN
ap-5399	151	21	z′	z′	NUM
ap-5399	151	22	=	=	SYM
ap-5399	151	23	1	1	NUM
ap-5399	151	24	to	to	ADP
ap-5399	151	25	the	the	DET
ap-5399	151	26	general	general	ADJ
ap-5399	151	27	equation	equation	NOUN
ap-5399	151	28	we	we	PRON
ap-5399	151	29	get	get	VERB
ap-5399	151	30	t	t	NOUN
ap-5399	151	31	(	(	PUNCT
ap-5399	151	32	1	1	NUM
ap-5399	151	33	,	,	PUNCT
ap-5399	151	34	s	s	NOUN
ap-5399	151	35	)	)	PUNCT
ap-5399	151	36	=	=	SYM
ap-5399	151	37	c1	c1	PROPN
ap-5399	151	38	sinh	sinh	PROPN
ap-5399	151	39	(	(	PUNCT
ap-5399	151	40	√	√	PROPN
ap-5399	151	41	s	s	NOUN
ap-5399	151	42	)	)	PUNCT
ap-5399	151	43	+	+	CCONJ
ap-5399	151	44	c2	c2	PROPN
ap-5399	151	45	cosh	cosh	PROPN
ap-5399	151	46	(	(	PUNCT
ap-5399	151	47	√	√	NUM
ap-5399	151	48	s	s	NOUN
ap-5399	151	49	)	)	PUNCT
ap-5399	151	50	(	(	PUNCT
ap-5399	151	51	30	30	X
ap-5399	151	52	)	)	PUNCT
ap-5399	152	1	415	415	NUM
ap-5399	152	2	stanislav	stanislav	ADJ
ap-5399	152	3	solnař	solnař	NOUN
ap-5399	152	4	,	,	PUNCT
ap-5399	152	5	martin	martin	PROPN
ap-5399	152	6	dostál	dostál	PROPN
ap-5399	152	7	acta	acta	PROPN
ap-5399	152	8	polytechnica	polytechnica	PROPN
ap-5399	152	9	variable	variable	ADJ
ap-5399	152	10	value	value	NOUN
ap-5399	152	11	unit	unit	NOUN
ap-5399	152	12	q̇	q̇	ADP
ap-5399	152	13	2	2	NUM
ap-5399	152	14	000	000	NUM
ap-5399	152	15	w	w	NOUN
ap-5399	152	16	m−2	m−2	NOUN
ap-5399	152	17	α0	α0	ADJ
ap-5399	152	18	3	3	NUM
ap-5399	152	19	w	w	PROPN
ap-5399	152	20	m−2	m−2	PROPN
ap-5399	152	21	k−1	k−1	PROPN
ap-5399	152	22	αδ	αδ	ADP
ap-5399	152	23	500	500	NUM
ap-5399	152	24	w	w	NOUN
ap-5399	152	25	m−2	m−2	PROPN
ap-5399	152	26	k−1	k−1	PROPN
ap-5399	152	27	z′	z′	NUM
ap-5399	152	28	0	0	NUM
ap-5399	153	1	δ	δ	PROPN
ap-5399	153	2	0.001	0.001	NUM
ap-5399	153	3	m	m	NOUN
ap-5399	153	4	λ	λ	PROPN
ap-5399	153	5	15.0	15.0	NUM
ap-5399	153	6	w	w	NOUN
ap-5399	153	7	m−1	m−1	PROPN
ap-5399	153	8	k−1	k−1	PROPN
ap-5399	153	9	cp	cp	INTJ
ap-5399	153	10	500	500	NUM
ap-5399	153	11	j	j	PROPN
ap-5399	153	12	kg−1	kg−1	PROPN
ap-5399	153	13	k−1	k−1	PROPN
ap-5399	153	14	ρ	ρ	PROPN
ap-5399	153	15	7900	7900	NUM
ap-5399	153	16	kg	kg	NOUN
ap-5399	153	17	m−3	m−3	PROPN
ap-5399	153	18	table	table	NOUN
ap-5399	153	19	1	1	NUM
ap-5399	153	20	.	.	PUNCT
ap-5399	153	21	table	table	NOUN
ap-5399	153	22	of	of	ADP
ap-5399	153	23	input	input	NOUN
ap-5399	153	24	values	value	NOUN
ap-5399	153	25	for	for	ADP
ap-5399	153	26	the	the	DET
ap-5399	153	27	calculation	calculation	NOUN
ap-5399	153	28	.	.	PUNCT
ap-5399	154	1	the	the	DET
ap-5399	154	2	heat	heat	NOUN
ap-5399	154	3	transfer	transfer	NOUN
ap-5399	154	4	coefficient	coefficient	NOUN
ap-5399	154	5	α0	α0	ADJ
ap-5399	154	6	corresponds	correspond	NOUN
ap-5399	154	7	to	to	ADP
ap-5399	154	8	the	the	DET
ap-5399	154	9	free	free	ADJ
ap-5399	154	10	convection	convection	NOUN
ap-5399	154	11	on	on	ADP
ap-5399	154	12	the	the	DET
ap-5399	154	13	heated	heated	ADJ
ap-5399	154	14	side	side	NOUN
ap-5399	154	15	of	of	ADP
ap-5399	154	16	the	the	DET
ap-5399	154	17	wall	wall	NOUN
ap-5399	154	18	(	(	PUNCT
ap-5399	154	19	estimated	estimate	VERB
ap-5399	154	20	value	value	NOUN
ap-5399	154	21	based	base	VERB
ap-5399	154	22	on	on	ADP
ap-5399	154	23	correlations	correlation	NOUN
ap-5399	154	24	)	)	PUNCT
ap-5399	154	25	,	,	PUNCT
ap-5399	154	26	αδ	αδ	PROPN
ap-5399	154	27	is	be	AUX
ap-5399	154	28	the	the	DET
ap-5399	154	29	representative	representative	ADJ
ap-5399	154	30	value	value	NOUN
ap-5399	154	31	of	of	ADP
ap-5399	154	32	the	the	DET
ap-5399	154	33	heat	heat	NOUN
ap-5399	154	34	transfer	transfer	NOUN
ap-5399	154	35	coefficient	coefficient	NOUN
ap-5399	154	36	we	we	PRON
ap-5399	154	37	are	be	AUX
ap-5399	154	38	trying	try	VERB
ap-5399	154	39	to	to	PART
ap-5399	154	40	find	find	VERB
ap-5399	154	41	out	out	ADP
ap-5399	154	42	.	.	PUNCT
ap-5399	155	1	thermophysical	thermophysical	ADJ
ap-5399	155	2	properties	property	NOUN
ap-5399	155	3	are	be	AUX
ap-5399	155	4	taken	take	VERB
ap-5399	155	5	for	for	ADP
ap-5399	155	6	stainless	stainless	ADJ
ap-5399	155	7	steel	steel	NOUN
ap-5399	155	8	en	en	ADP
ap-5399	155	9	1.4307	1.4307	NUM
ap-5399	155	10	(	(	PUNCT
ap-5399	155	11	see	see	VERB
ap-5399	155	12	https://www.notzgroup.com/media/wysiwyg/pdf/jas/werkstoffe/1.4307_en.pdf	https://www.notzgroup.com/media/wysiwyg/pdf/jas/werkstoffe/1.4307_en.pdf	NOUN
ap-5399	155	13	.	.	PUNCT
ap-5399	156	1	applying	apply	VERB
ap-5399	156	2	this	this	DET
ap-5399	156	3	coordinate	coordinate	NOUN
ap-5399	156	4	to	to	ADP
ap-5399	156	5	the	the	DET
ap-5399	156	6	derivatiove	derivatiove	NOUN
ap-5399	156	7	of	of	ADP
ap-5399	156	8	the	the	DET
ap-5399	156	9	general	general	ADJ
ap-5399	156	10	solution	solution	NOUN
ap-5399	156	11	we	we	PRON
ap-5399	156	12	obtaion	obtaion	VERB
ap-5399	156	13	dt	dt	X
ap-5399	156	14	(	(	PUNCT
ap-5399	156	15	1	1	NUM
ap-5399	156	16	,	,	PUNCT
ap-5399	156	17	s	s	PART
ap-5399	156	18	)	)	PUNCT
ap-5399	156	19	dz′	dz′	NOUN
ap-5399	156	20	=	=	PUNCT
ap-5399	156	21	c1	c1	PROPN
ap-5399	156	22	√	√	PROPN
ap-5399	156	23	s	s	PART
ap-5399	156	24	cosh	cosh	NOUN
ap-5399	156	25	(	(	PUNCT
ap-5399	156	26	√	√	NUM
ap-5399	156	27	s	s	NOUN
ap-5399	156	28	)	)	PUNCT
ap-5399	156	29	+	+	CCONJ
ap-5399	156	30	c2	c2	PROPN
ap-5399	156	31	√	√	PROPN
ap-5399	156	32	s	s	PART
ap-5399	156	33	sinh	sinh	NOUN
ap-5399	156	34	(	(	PUNCT
ap-5399	156	35	√	√	NUM
ap-5399	156	36	s	s	NOUN
ap-5399	156	37	)	)	PUNCT
ap-5399	156	38	(	(	PUNCT
ap-5399	156	39	31	31	NUM
ap-5399	156	40	)	)	PUNCT
ap-5399	156	41	and	and	CCONJ
ap-5399	156	42	applying	apply	VERB
ap-5399	156	43	the	the	DET
ap-5399	156	44	boundary	boundary	ADJ
ap-5399	156	45	condition	condition	NOUN
ap-5399	156	46	−	−	PROPN
ap-5399	156	47	biδ	biδ	PROPN
ap-5399	156	48	t	t	PROPN
ap-5399	156	49	(	(	PUNCT
ap-5399	156	50	1	1	NUM
ap-5399	156	51	,	,	PUNCT
ap-5399	156	52	s	s	NOUN
ap-5399	156	53	)	)	PUNCT
ap-5399	156	54	=	=	SYM
ap-5399	156	55	c1	c1	PROPN
ap-5399	156	56	√	√	PROPN
ap-5399	156	57	s	s	PART
ap-5399	156	58	cosh	cosh	NOUN
ap-5399	156	59	(	(	PUNCT
ap-5399	156	60	√	√	NUM
ap-5399	156	61	s	s	NOUN
ap-5399	156	62	)	)	PUNCT
ap-5399	156	63	+	+	CCONJ
ap-5399	156	64	c2	c2	PROPN
ap-5399	156	65	√	√	PROPN
ap-5399	156	66	s	s	PART
ap-5399	156	67	sinh	sinh	NOUN
ap-5399	156	68	(	(	PUNCT
ap-5399	156	69	√	√	NUM
ap-5399	156	70	s	s	NOUN
ap-5399	156	71	)	)	PUNCT
ap-5399	156	72	(	(	PUNCT
ap-5399	156	73	32	32	NUM
ap-5399	156	74	)	)	PUNCT
ap-5399	156	75	the	the	DET
ap-5399	156	76	expression	expression	NOUN
ap-5399	156	77	t	t	NOUN
ap-5399	156	78	(	(	PUNCT
ap-5399	156	79	1	1	NUM
ap-5399	156	80	,	,	PUNCT
ap-5399	156	81	s	s	PART
ap-5399	156	82	)	)	PUNCT
ap-5399	156	83	can	can	AUX
ap-5399	156	84	be	be	AUX
ap-5399	156	85	again	again	ADV
ap-5399	156	86	assigned	assign	VERB
ap-5399	156	87	from	from	ADP
ap-5399	156	88	(	(	PUNCT
ap-5399	156	89	30	30	NUM
ap-5399	156	90	)	)	PUNCT
ap-5399	156	91	and	and	CCONJ
ap-5399	156	92	we	we	PRON
ap-5399	156	93	get	get	VERB
ap-5399	156	94	the	the	DET
ap-5399	156	95	second	second	ADJ
ap-5399	156	96	equation	equation	NOUN
ap-5399	156	97	−	−	PUNCT
ap-5399	156	98	biδ	biδ	PROPN
ap-5399	156	99	[	[	PUNCT
ap-5399	156	100	c1	c1	PROPN
ap-5399	156	101	sinh	sinh	PROPN
ap-5399	156	102	(	(	PUNCT
ap-5399	156	103	√	√	PROPN
ap-5399	156	104	s	s	NOUN
ap-5399	156	105	)	)	PUNCT
ap-5399	157	1	+	+	CCONJ
ap-5399	157	2	c2	c2	PROPN
ap-5399	157	3	cosh	cosh	PROPN
ap-5399	157	4	(	(	PUNCT
ap-5399	157	5	√	√	NUM
ap-5399	157	6	s	s	NOUN
ap-5399	157	7	)	)	PUNCT
ap-5399	157	8	]	]	PUNCT
ap-5399	158	1	=	=	PUNCT
ap-5399	158	2	c1	c1	PROPN
ap-5399	158	3	√	√	PROPN
ap-5399	158	4	s	s	PART
ap-5399	158	5	cosh	cosh	NOUN
ap-5399	158	6	(	(	PUNCT
ap-5399	158	7	√	√	NUM
ap-5399	158	8	s	s	NOUN
ap-5399	158	9	)	)	PUNCT
ap-5399	158	10	+	+	CCONJ
ap-5399	158	11	c2	c2	PROPN
ap-5399	158	12	√	√	PROPN
ap-5399	158	13	s	s	PART
ap-5399	158	14	sinh	sinh	NOUN
ap-5399	158	15	(	(	PUNCT
ap-5399	158	16	√	√	NUM
ap-5399	158	17	s	s	NOUN
ap-5399	158	18	)	)	PUNCT
ap-5399	158	19	(	(	PUNCT
ap-5399	158	20	33	33	NUM
ap-5399	158	21	)	)	PUNCT
ap-5399	158	22	3.3	3.3	NUM
ap-5399	158	23	.	.	PUNCT
ap-5399	159	1	particular	particular	ADJ
ap-5399	159	2	solution	solution	NOUN
ap-5399	159	3	this	this	PRON
ap-5399	159	4	creates	create	VERB
ap-5399	159	5	two	two	NUM
ap-5399	159	6	equations	equation	NOUN
ap-5399	159	7	of	of	ADP
ap-5399	159	8	two	two	NUM
ap-5399	159	9	unknowns	unknown	NOUN
ap-5399	159	10	c1	c1	PROPN
ap-5399	159	11	a	a	DET
ap-5399	159	12	c2	c2	PROPN
ap-5399	159	13	.	.	PUNCT
ap-5399	160	1	this	this	DET
ap-5399	160	2	system	system	NOUN
ap-5399	160	3	of	of	ADP
ap-5399	160	4	two	two	NUM
ap-5399	160	5	equations	equation	NOUN
ap-5399	160	6	can	can	AUX
ap-5399	160	7	be	be	AUX
ap-5399	160	8	written	write	VERB
ap-5399	160	9	into	into	ADP
ap-5399	160	10	matrix	matrix	NOUN
ap-5399	160	11	a	a	PRON
ap-5399	160	12	=	=	X
ap-5399	160	13	[	[	PUNCT
ap-5399	160	14	√	√	NUM
ap-5399	160	15	s	s	PART
ap-5399	160	16	bi0√	bi0√	NOUN
ap-5399	160	17	s	s	PART
ap-5399	160	18	cosh	cosh	NOUN
ap-5399	160	19	(	(	PUNCT
ap-5399	160	20	√	√	NUM
ap-5399	160	21	s	s	NOUN
ap-5399	160	22	)	)	PUNCT
ap-5399	160	23	+	+	CCONJ
ap-5399	160	24	biδ	biδ	NOUN
ap-5399	160	25	sinh	sinh	NOUN
ap-5399	160	26	(	(	PUNCT
ap-5399	160	27	√	√	NUM
ap-5399	160	28	s	s	NOUN
ap-5399	160	29	)	)	PUNCT
ap-5399	160	30	√	√	PROPN
ap-5399	160	31	s	s	PART
ap-5399	160	32	sinh	sinh	NOUN
ap-5399	160	33	(	(	PUNCT
ap-5399	160	34	√	√	NUM
ap-5399	160	35	s	s	NOUN
ap-5399	160	36	)	)	PUNCT
ap-5399	160	37	+	+	NUM
ap-5399	160	38	biδ	biδ	NOUN
ap-5399	160	39	cosh	cosh	PROPN
ap-5399	160	40	(	(	PUNCT
ap-5399	160	41	√	√	NUM
ap-5399	160	42	s	s	NOUN
ap-5399	160	43	)	)	PUNCT
ap-5399	160	44	]	]	PUNCT
ap-5399	161	1	[	[	PUNCT
ap-5399	161	2	c1	c1	NOUN
ap-5399	161	3	c2	c2	PROPN
ap-5399	161	4	]	]	PUNCT
ap-5399	162	1	=	=	PUNCT
ap-5399	162	2	[	[	PUNCT
ap-5399	162	3	−	−	NUM
ap-5399	162	4	1	1	NUM
ap-5399	162	5	s	s	NOUN
ap-5399	162	6	q̂	q̂	DET
ap-5399	162	7	δ	δ	NOUN
ap-5399	162	8	λ	λ	NOUN
ap-5399	162	9	0	0	NUM
ap-5399	162	10	]	]	PUNCT
ap-5399	162	11	(	(	PUNCT
ap-5399	162	12	34	34	NUM
ap-5399	162	13	)	)	PUNCT
ap-5399	162	14	and	and	CCONJ
ap-5399	162	15	solved	solve	VERB
ap-5399	162	16	,	,	PUNCT
ap-5399	162	17	for	for	ADP
ap-5399	162	18	example	example	NOUN
ap-5399	162	19	,	,	PUNCT
ap-5399	162	20	with	with	ADP
ap-5399	162	21	cramer	cramer	PROPN
ap-5399	162	22	’s	’s	PART
ap-5399	162	23	rule	rule	NOUN
ap-5399	162	24	for	for	ADP
ap-5399	162	25	solving	solve	VERB
ap-5399	162	26	the	the	DET
ap-5399	162	27	system	system	NOUN
ap-5399	162	28	of	of	ADP
ap-5399	162	29	equations	equation	NOUN
ap-5399	162	30	.	.	PUNCT
ap-5399	163	1	determinant	determinant	ADJ
ap-5399	163	2	of	of	ADP
ap-5399	163	3	the	the	DET
ap-5399	163	4	matrix	matrix	NOUN
ap-5399	163	5	a	a	PRON
ap-5399	163	6	is	be	AUX
ap-5399	163	7	deta	deta	NOUN
ap-5399	163	8	=	=	NOUN
ap-5399	163	9	√	√	NUM
ap-5399	163	10	s	s	PART
ap-5399	164	1	[	[	X
ap-5399	164	2	√	√	X
ap-5399	164	3	s	s	NOUN
ap-5399	164	4	sinh	sinh	NOUN
ap-5399	164	5	(	(	PUNCT
ap-5399	164	6	√	√	NUM
ap-5399	164	7	s	s	NOUN
ap-5399	164	8	)	)	PUNCT
ap-5399	164	9	+	+	NUM
ap-5399	164	10	biδ	biδ	NOUN
ap-5399	164	11	cosh	cosh	PROPN
ap-5399	164	12	(	(	PUNCT
ap-5399	164	13	√	√	NUM
ap-5399	164	14	s	s	NOUN
ap-5399	164	15	)	)	PUNCT
ap-5399	164	16	]	]	PUNCT
ap-5399	165	1	−	−	PROPN
ap-5399	165	2	bi0	bi0	NOUN
ap-5399	165	3	[	[	X
ap-5399	165	4	√	√	NOUN
ap-5399	165	5	s	s	PART
ap-5399	165	6	cosh	cosh	NOUN
ap-5399	165	7	(	(	PUNCT
ap-5399	165	8	√	√	NUM
ap-5399	165	9	s	s	NOUN
ap-5399	165	10	)	)	PUNCT
ap-5399	165	11	+	+	CCONJ
ap-5399	165	12	biδ	biδ	NOUN
ap-5399	165	13	sinh	sinh	NOUN
ap-5399	165	14	(	(	PUNCT
ap-5399	165	15	√	√	NUM
ap-5399	165	16	s	s	NOUN
ap-5399	165	17	)	)	PUNCT
ap-5399	165	18	]	]	PUNCT
ap-5399	165	19	(	(	PUNCT
ap-5399	165	20	35	35	NUM
ap-5399	165	21	)	)	PUNCT
ap-5399	165	22	and	and	CCONJ
ap-5399	165	23	the	the	DET
ap-5399	165	24	constants	constant	NOUN
ap-5399	165	25	c1	c1	PROPN
ap-5399	165	26	and	and	CCONJ
ap-5399	165	27	c2	c2	PROPN
ap-5399	165	28	can	can	AUX
ap-5399	165	29	be	be	AUX
ap-5399	165	30	calculated	calculate	VERB
ap-5399	165	31	from	from	ADP
ap-5399	165	32	the	the	DET
ap-5399	165	33	subdeterminants	subdeterminant	NOUN
ap-5399	165	34	(	(	PUNCT
ap-5399	165	35	using	use	VERB
ap-5399	165	36	the	the	DET
ap-5399	165	37	cramer	cramer	NOUN
ap-5399	165	38	’s	’s	PART
ap-5399	165	39	rule	rule	NOUN
ap-5399	165	40	)	)	PUNCT
ap-5399	165	41	c1	c1	PROPN
ap-5399	165	42	deta	deta	NOUN
ap-5399	166	1	=	=	PUNCT
ap-5399	166	2	−1	−1	NOUN
ap-5399	166	3	s	s	PART
ap-5399	166	4	q̂	q̂	PUNCT
ap-5399	166	5	δ	δ	PROPN
ap-5399	166	6	λ	λ	X
ap-5399	167	1	[	[	PUNCT
ap-5399	167	2	√	√	X
ap-5399	167	3	s	s	NOUN
ap-5399	167	4	sinh	sinh	NOUN
ap-5399	167	5	(	(	PUNCT
ap-5399	167	6	√	√	NUM
ap-5399	167	7	s	s	NOUN
ap-5399	167	8	)	)	PUNCT
ap-5399	167	9	+	+	NUM
ap-5399	167	10	biδ	biδ	NOUN
ap-5399	167	11	cosh	cosh	PROPN
ap-5399	167	12	(	(	PUNCT
ap-5399	167	13	√	√	NUM
ap-5399	167	14	s	s	NOUN
ap-5399	167	15	)	)	PUNCT
ap-5399	167	16	]	]	PUNCT
ap-5399	167	17	(	(	PUNCT
ap-5399	167	18	36	36	NUM
ap-5399	167	19	)	)	PUNCT
ap-5399	167	20	and	and	CCONJ
ap-5399	167	21	c2	c2	PROPN
ap-5399	167	22	deta	deta	NOUN
ap-5399	167	23	=	=	NOUN
ap-5399	167	24	1	1	NUM
ap-5399	167	25	s	s	NOUN
ap-5399	167	26	q̂	q̂	DET
ap-5399	167	27	δ	δ	NOUN
ap-5399	167	28	λ	λ	X
ap-5399	168	1	[	[	X
ap-5399	168	2	√	√	X
ap-5399	168	3	s	s	PART
ap-5399	168	4	cosh	cosh	NOUN
ap-5399	168	5	(	(	PUNCT
ap-5399	168	6	√	√	NUM
ap-5399	168	7	s	s	NOUN
ap-5399	168	8	)	)	PUNCT
ap-5399	168	9	+	+	CCONJ
ap-5399	168	10	biδ	biδ	NOUN
ap-5399	168	11	sinh	sinh	NOUN
ap-5399	168	12	(	(	PUNCT
ap-5399	168	13	√	√	NUM
ap-5399	168	14	s	s	NOUN
ap-5399	168	15	)	)	PUNCT
ap-5399	168	16	]	]	PUNCT
ap-5399	168	17	(	(	PUNCT
ap-5399	168	18	37	37	NUM
ap-5399	168	19	)	)	PUNCT
ap-5399	168	20	therefore	therefore	ADV
ap-5399	168	21	,	,	PUNCT
ap-5399	168	22	finding	find	VERB
ap-5399	168	23	a	a	DET
ap-5399	168	24	non	non	ADJ
ap-5399	168	25	-	-	ADJ
ap-5399	168	26	stationary	stationary	ADJ
ap-5399	168	27	temperature	temperature	NOUN
ap-5399	168	28	profile	profile	NOUN
ap-5399	168	29	in	in	ADP
ap-5399	168	30	the	the	DET
ap-5399	168	31	wall	wall	NOUN
ap-5399	168	32	,	,	PUNCT
ap-5399	168	33	as	as	ADP
ap-5399	168	34	a	a	DET
ap-5399	168	35	particular	particular	ADJ
ap-5399	168	36	solution	solution	NOUN
ap-5399	168	37	to	to	ADP
ap-5399	168	38	equations	equation	NOUN
ap-5399	168	39	(	(	PUNCT
ap-5399	168	40	8	8	NUM
ap-5399	168	41	–	–	SYM
ap-5399	168	42	11	11	NUM
ap-5399	168	43	)	)	PUNCT
ap-5399	168	44	,	,	PUNCT
ap-5399	168	45	can	can	AUX
ap-5399	168	46	be	be	AUX
ap-5399	168	47	expressed	express	VERB
ap-5399	168	48	in	in	ADP
ap-5399	168	49	laplace	laplace	NOUN
ap-5399	168	50	’s	’s	PART
ap-5399	168	51	space	space	NOUN
ap-5399	168	52	as	as	ADP
ap-5399	168	53	t	t	PROPN
ap-5399	168	54	(	(	PUNCT
ap-5399	168	55	z′	z′	PROPN
ap-5399	168	56	,	,	PUNCT
ap-5399	168	57	s	s	PART
ap-5399	168	58	)	)	PUNCT
ap-5399	168	59	=	=	SYM
ap-5399	168	60	c1	c1	PROPN
ap-5399	168	61	deta	deta	PROPN
ap-5399	168	62	deta	deta	PROPN
ap-5399	168	63	sinh	sinh	PROPN
ap-5399	168	64	(	(	PUNCT
ap-5399	168	65	√	√	PROPN
ap-5399	168	66	s	s	NOUN
ap-5399	168	67	z′	z′	NUM
ap-5399	168	68	)	)	PUNCT
ap-5399	168	69	+	+	CCONJ
ap-5399	168	70	c2	c2	PROPN
ap-5399	168	71	deta	deta	PROPN
ap-5399	168	72	deta	deta	PROPN
ap-5399	168	73	cosh	cosh	PROPN
ap-5399	168	74	(	(	PUNCT
ap-5399	168	75	√	√	PROPN
ap-5399	168	76	s	s	NOUN
ap-5399	168	77	z′	z′	NUM
ap-5399	168	78	)	)	PUNCT
ap-5399	168	79	(	(	PUNCT
ap-5399	168	80	38	38	NUM
ap-5399	168	81	)	)	PUNCT
ap-5399	168	82	4	4	NUM
ap-5399	168	83	.	.	PUNCT
ap-5399	168	84	inverse	inverse	ADJ
ap-5399	168	85	laplace	laplace	NOUN
ap-5399	168	86	transformation	transformation	NOUN
ap-5399	168	87	since	since	SCONJ
ap-5399	168	88	the	the	DET
ap-5399	168	89	particular	particular	ADJ
ap-5399	168	90	solution	solution	NOUN
ap-5399	168	91	is	be	AUX
ap-5399	168	92	not	not	PART
ap-5399	168	93	quite	quite	ADV
ap-5399	168	94	simple	simple	ADJ
ap-5399	168	95	to	to	PART
ap-5399	168	96	be	be	AUX
ap-5399	168	97	divided	divide	VERB
ap-5399	168	98	into	into	ADP
ap-5399	168	99	partial	partial	ADJ
ap-5399	168	100	fractions	fraction	NOUN
ap-5399	168	101	(	(	PUNCT
ap-5399	168	102	i.e.	i.e.	X
ap-5399	168	103	,	,	PUNCT
ap-5399	168	104	a	a	DET
ap-5399	168	105	direct	direct	ADJ
ap-5399	168	106	translation	translation	NOUN
ap-5399	168	107	of	of	ADP
ap-5399	168	108	the	the	DET
ap-5399	168	109	function	function	NOUN
ap-5399	168	110	t	t	PROPN
ap-5399	168	111	)	)	PUNCT
ap-5399	168	112	,	,	PUNCT
ap-5399	168	113	we	we	PRON
ap-5399	168	114	have	have	AUX
ap-5399	168	115	chosen	choose	VERB
ap-5399	168	116	a	a	DET
ap-5399	168	117	numerical	numerical	ADJ
ap-5399	168	118	method	method	NOUN
ap-5399	168	119	for	for	ADP
ap-5399	168	120	the	the	DET
ap-5399	168	121	inverse	inverse	ADJ
ap-5399	168	122	laplace	laplace	NOUN
ap-5399	168	123	transform	transform	NOUN
ap-5399	168	124	.	.	PUNCT
ap-5399	169	1	all	all	DET
ap-5399	169	2	the	the	DET
ap-5399	169	3	results	result	NOUN
ap-5399	169	4	presented	present	VERB
ap-5399	169	5	here	here	ADV
ap-5399	169	6	will	will	AUX
ap-5399	169	7	be	be	AUX
ap-5399	169	8	generated	generate	VERB
ap-5399	169	9	for	for	ADP
ap-5399	169	10	the	the	DET
ap-5399	169	11	values	value	NOUN
ap-5399	169	12	specified	specify	VERB
ap-5399	169	13	in	in	ADP
ap-5399	169	14	the	the	DET
ap-5399	169	15	tab	tab	NOUN
ap-5399	169	16	.	.	PUNCT
ap-5399	170	1	1	1	X
ap-5399	170	2	.	.	X
ap-5399	170	3	authors	author	NOUN
ap-5399	170	4	abate	abate	VERB
ap-5399	170	5	and	and	CCONJ
ap-5399	170	6	whitt	whitt	VERB
ap-5399	171	1	[	[	X
ap-5399	171	2	14	14	NUM
ap-5399	171	3	]	]	PUNCT
ap-5399	171	4	introduced	introduce	VERB
ap-5399	171	5	a	a	DET
ap-5399	171	6	numerical	numerical	ADJ
ap-5399	171	7	solver	solver	NOUN
ap-5399	171	8	for	for	ADP
ap-5399	171	9	an	an	DET
ap-5399	171	10	inverse	inverse	ADJ
ap-5399	171	11	laplace	laplace	NOUN
ap-5399	171	12	transformation	transformation	NOUN
ap-5399	171	13	and	and	CCONJ
ap-5399	171	14	its	its	PRON
ap-5399	171	15	generalized	generalized	ADJ
ap-5399	171	16	form	form	NOUN
ap-5399	171	17	and	and	CCONJ
ap-5399	171	18	also	also	ADV
ap-5399	171	19	re	re	VERB
ap-5399	171	20	-	-	VERB
ap-5399	171	21	explained	explain	VERB
ap-5399	171	22	its	its	PRON
ap-5399	171	23	functioning	functioning	NOUN
ap-5399	171	24	.	.	PUNCT
ap-5399	172	1	we	we	PRON
ap-5399	172	2	have	have	AUX
ap-5399	172	3	used	use	VERB
ap-5399	172	4	the	the	DET
ap-5399	172	5	talbot	talbot	PROPN
ap-5399	172	6	algorithm	algorithm	PROPN
ap-5399	172	7	,	,	PUNCT
ap-5399	172	8	which	which	PRON
ap-5399	172	9	is	be	AUX
ap-5399	172	10	based	base	VERB
ap-5399	172	11	on	on	ADP
ap-5399	172	12	the	the	DET
ap-5399	172	13	deformation	deformation	NOUN
ap-5399	172	14	of	of	ADP
ap-5399	172	15	bromwich	bromwich	PROPN
ap-5399	172	16	’s	’s	PART
ap-5399	172	17	integral	integral	ADJ
ap-5399	172	18	.	.	PUNCT
ap-5399	173	1	to	to	PART
ap-5399	173	2	understand	understand	VERB
ap-5399	173	3	the	the	DET
ap-5399	173	4	functioning	functioning	NOUN
ap-5399	173	5	of	of	ADP
ap-5399	173	6	talbot	talbot	PROPN
ap-5399	173	7	’s	’s	PART
ap-5399	173	8	algorithm	algorithm	NOUN
ap-5399	173	9	you	you	PRON
ap-5399	173	10	can	can	AUX
ap-5399	173	11	read	read	VERB
ap-5399	173	12	their	their	PRON
ap-5399	173	13	fantastic	fantastic	ADJ
ap-5399	173	14	paper	paper	NOUN
ap-5399	173	15	[	[	X
ap-5399	173	16	14	14	NUM
ap-5399	173	17	]	]	PUNCT
ap-5399	173	18	.	.	PUNCT
ap-5399	174	1	the	the	DET
ap-5399	174	2	talbot	talbot	PROPN
ap-5399	174	3	inversion	inversion	NOUN
ap-5399	174	4	algorithm	algorithm	NOUN
ap-5399	174	5	is	be	AUX
ap-5399	174	6	freely	freely	ADV
ap-5399	174	7	downloadable	downloadable	ADJ
ap-5399	174	8	for	for	ADP
ap-5399	174	9	matlab	matlab	PROPN
ap-5399	174	10	as	as	ADP
ap-5399	174	11	a	a	DET
ap-5399	174	12	function	function	NOUN
ap-5399	174	13	talbot_inversion	talbot_inversion	NOUN
ap-5399	174	14	(	(	PUNCT
ap-5399	174	15	f_s	f_s	NOUN
ap-5399	174	16	,	,	PUNCT
ap-5399	174	17	t	t	PROPN
ap-5399	174	18	,	,	PUNCT
ap-5399	174	19	m	m	PROPN
ap-5399	174	20	)	)	PUNCT
ap-5399	174	21	and	and	CCONJ
ap-5399	174	22	for	for	ADP
ap-5399	174	23	the	the	DET
ap-5399	174	24	input	input	NOUN
ap-5399	174	25	function	function	PROPN
ap-5399	174	26	f_s	f_s	NOUN
ap-5399	174	27	,	,	PUNCT
ap-5399	174	28	vector	vector	NOUN
ap-5399	174	29	of	of	ADP
ap-5399	174	30	computation	computation	NOUN
ap-5399	174	31	times	time	NOUN
ap-5399	174	32	t	t	PROPN
ap-5399	174	33	(	(	PUNCT
ap-5399	174	34	in	in	ADP
ap-5399	174	35	our	our	PRON
ap-5399	174	36	case	case	NOUN
ap-5399	174	37	the	the	DET
ap-5399	174	38	416	416	NUM
ap-5399	174	39	https://www.notzgroup.com/media/wysiwyg/pdf/jas/werkstoffe/1.4307_en.pdf	https://www.notzgroup.com/media/wysiwyg/pdf/jas/werkstoffe/1.4307_en.pdf	PROPN
ap-5399	174	40	vol	vol	NOUN
ap-5399	174	41	.	.	PUNCT
ap-5399	175	1	59	59	NUM
ap-5399	175	2	no	no	NOUN
ap-5399	175	3	.	.	PUNCT
ap-5399	176	1	4/2019	4/2019	NUM
ap-5399	176	2	derivation	derivation	NOUN
ap-5399	176	3	of	of	ADP
ap-5399	176	4	a	a	DET
ap-5399	176	5	new	new	ADJ
ap-5399	176	6	contactless	contactless	NOUN
ap-5399	176	7	method	method	NOUN
ap-5399	176	8	αδ	αδ	ADP
ap-5399	176	9	=	=	SYM
ap-5399	176	10	500	500	NUM
ap-5399	176	11	w	w	PROPN
ap-5399	176	12	/	/	SYM
ap-5399	176	13	m2k	m2k	NOUN
ap-5399	176	14	αδ	αδ	ADP
ap-5399	176	15	=	=	SYM
ap-5399	176	16	1500	1500	NUM
ap-5399	176	17	w	w	NOUN
ap-5399	176	18	/	/	SYM
ap-5399	176	19	m2k	m2k	NOUN
ap-5399	176	20	αδ	αδ	ADP
ap-5399	176	21	=	=	SYM
ap-5399	176	22	3000	3000	NUM
ap-5399	176	23	w	w	NOUN
ap-5399	176	24	/	/	SYM
ap-5399	176	25	m2k	m2k	NOUN
ap-5399	176	26	αδ	αδ	ADP
ap-5399	176	27	=	=	SYM
ap-5399	176	28	5000	5000	NUM
ap-5399	176	29	w	w	NOUN
ap-5399	176	30	/	/	SYM
ap-5399	176	31	m2k	m2k	PROPN
ap-5399	176	32	t	t	NOUN
ap-5399	176	33	(	(	PUNCT
ap-5399	176	34	o	o	NOUN
ap-5399	176	35	c	c	PROPN
ap-5399	176	36	)	)	PUNCT
ap-5399	176	37	0	0	NUM
ap-5399	177	1	1	1	NUM
ap-5399	177	2	2	2	NUM
ap-5399	177	3	3	3	NUM
ap-5399	177	4	4	4	NUM
ap-5399	177	5	t	t	NOUN
ap-5399	177	6	(	(	PUNCT
ap-5399	177	7	s	s	NOUN
ap-5399	177	8	)	)	PUNCT
ap-5399	177	9	0	0	NUM
ap-5399	177	10	20	20	NUM
ap-5399	177	11	40	40	NUM
ap-5399	177	12	60	60	NUM
ap-5399	177	13	80	80	NUM
ap-5399	177	14	100	100	NUM
ap-5399	177	15	figure	figure	NOUN
ap-5399	177	16	2	2	NUM
ap-5399	177	17	.	.	PUNCT
ap-5399	178	1	the	the	DET
ap-5399	178	2	results	result	NOUN
ap-5399	178	3	of	of	ADP
ap-5399	178	4	the	the	DET
ap-5399	178	5	analytical	analytical	ADJ
ap-5399	178	6	calculation	calculation	NOUN
ap-5399	178	7	given	give	VERB
ap-5399	178	8	as	as	ADP
ap-5399	178	9	a	a	DET
ap-5399	178	10	change	change	NOUN
ap-5399	178	11	of	of	ADP
ap-5399	178	12	temperature	temperature	NOUN
ap-5399	178	13	t	t	NOUN
ap-5399	178	14	compared	compare	VERB
ap-5399	178	15	to	to	ADP
ap-5399	178	16	the	the	DET
ap-5399	178	17	initial	initial	ADJ
ap-5399	178	18	temperature	temperature	NOUN
ap-5399	178	19	t0	t0	NOUN
ap-5399	178	20	.	.	PUNCT
ap-5399	179	1	the	the	DET
ap-5399	179	2	graph	graph	NOUN
ap-5399	179	3	is	be	AUX
ap-5399	179	4	depicted	depict	VERB
ap-5399	179	5	for	for	ADP
ap-5399	179	6	the	the	DET
ap-5399	179	7	values	value	NOUN
ap-5399	179	8	listed	list	VERB
ap-5399	179	9	in	in	ADP
ap-5399	179	10	the	the	DET
ap-5399	179	11	tab	tab	NOUN
ap-5399	179	12	.	.	PROPN
ap-5399	179	13	1	1	NUM
ap-5399	179	14	and	and	CCONJ
ap-5399	179	15	for	for	ADP
ap-5399	179	16	various	various	ADJ
ap-5399	179	17	values	value	NOUN
ap-5399	179	18	of	of	ADP
ap-5399	179	19	heat	heat	NOUN
ap-5399	179	20	transfer	transfer	NOUN
ap-5399	179	21	coefficient	coefficient	NOUN
ap-5399	179	22	αδ	αδ	ADP
ap-5399	179	23	.	.	PUNCT
ap-5399	179	24	δ=0.5	δ=0.5	NOUN
ap-5399	180	1	mm	mm	PROPN
ap-5399	180	2	δ=1	δ=1	PROPN
ap-5399	180	3	mm	mm	PROPN
ap-5399	180	4	δ=2	δ=2	ADP
ap-5399	180	5	mm	mm	NOUN
ap-5399	180	6	δ=5	δ=5	PROPN
ap-5399	180	7	mm	mm	PROPN
ap-5399	180	8	δ=10	δ=10	PROPN
ap-5399	180	9	mm	mm	PROPN
ap-5399	180	10	δ	δ	PROPN
ap-5399	180	11	t	t	PROPN
ap-5399	180	12	(	(	PUNCT
ap-5399	180	13	o	o	NOUN
ap-5399	180	14	c	c	PROPN
ap-5399	180	15	)	)	PUNCT
ap-5399	180	16	0	0	NUM
ap-5399	181	1	1	1	NUM
ap-5399	181	2	2	2	NUM
ap-5399	181	3	3	3	NUM
ap-5399	181	4	4	4	NUM
ap-5399	181	5	t	t	NOUN
ap-5399	181	6	(	(	PUNCT
ap-5399	181	7	s	s	NOUN
ap-5399	181	8	)	)	PUNCT
ap-5399	181	9	0	0	NUM
ap-5399	181	10	20	20	NUM
ap-5399	181	11	40	40	NUM
ap-5399	181	12	60	60	NUM
ap-5399	181	13	80	80	NUM
ap-5399	181	14	100	100	NUM
ap-5399	181	15	figure	figure	NOUN
ap-5399	181	16	3	3	NUM
ap-5399	181	17	.	.	PUNCT
ap-5399	181	18	calculated	calculate	VERB
ap-5399	181	19	temperature	temperature	NOUN
ap-5399	181	20	changes	change	NOUN
ap-5399	181	21	for	for	ADP
ap-5399	181	22	different	different	ADJ
ap-5399	181	23	values	value	NOUN
ap-5399	181	24	of	of	ADP
ap-5399	181	25	wall	wall	PROPN
ap-5399	181	26	thickness	thickness	PROPN
ap-5399	181	27	δ	δ	PROPN
ap-5399	181	28	.	.	PUNCT
ap-5399	182	1	the	the	DET
ap-5399	182	2	graph	graph	NOUN
ap-5399	182	3	is	be	AUX
ap-5399	182	4	depicted	depict	VERB
ap-5399	182	5	for	for	ADP
ap-5399	182	6	the	the	DET
ap-5399	182	7	values	value	NOUN
ap-5399	182	8	listed	list	VERB
ap-5399	182	9	in	in	ADP
ap-5399	182	10	the	the	DET
ap-5399	182	11	tab	tab	NOUN
ap-5399	182	12	.	.	PUNCT
ap-5399	183	1	1	1	NUM
ap-5399	183	2	.	.	PUNCT
ap-5399	183	3	dimensionless	dimensionless	NOUN
ap-5399	183	4	values	value	NOUN
ap-5399	183	5	of	of	ADP
ap-5399	183	6	time	time	NOUN
ap-5399	183	7	t′	t′	NUM
ap-5399	183	8	)	)	PUNCT
ap-5399	183	9	and	and	CCONJ
ap-5399	183	10	the	the	DET
ap-5399	183	11	number	number	NOUN
ap-5399	183	12	of	of	ADP
ap-5399	183	13	iterations	iteration	NOUN
ap-5399	183	14	of	of	ADP
ap-5399	183	15	the	the	DET
ap-5399	183	16	calculation	calculation	NOUN
ap-5399	183	17	m	m	NOUN
ap-5399	183	18	returns	return	VERB
ap-5399	183	19	the	the	DET
ap-5399	183	20	real	real	ADJ
ap-5399	183	21	function	function	NOUN
ap-5399	183	22	values	value	NOUN
ap-5399	183	23	in	in	ADP
ap-5399	183	24	time	time	NOUN
ap-5399	183	25	f(t	f(t	PROPN
ap-5399	183	26	)	)	PUNCT
ap-5399	183	27	.	.	PUNCT
ap-5399	184	1	the	the	DET
ap-5399	184	2	result	result	NOUN
ap-5399	184	3	of	of	ADP
ap-5399	184	4	this	this	DET
ap-5399	184	5	operation	operation	NOUN
ap-5399	184	6	applied	apply	VERB
ap-5399	184	7	to	to	ADP
ap-5399	184	8	our	our	PRON
ap-5399	184	9	particular	particular	ADJ
ap-5399	184	10	solution	solution	NOUN
ap-5399	184	11	t	t	PROPN
ap-5399	184	12	(	(	PUNCT
ap-5399	184	13	z′	z′	PROPN
ap-5399	184	14	,	,	PUNCT
ap-5399	184	15	s	s	PART
ap-5399	184	16	)	)	PUNCT
ap-5399	184	17	can	can	AUX
ap-5399	184	18	be	be	AUX
ap-5399	184	19	seen	see	VERB
ap-5399	184	20	in	in	ADP
ap-5399	184	21	the	the	DET
ap-5399	184	22	fig	fig	NOUN
ap-5399	184	23	.	.	PUNCT
ap-5399	185	1	2	2	X
ap-5399	185	2	.	.	X
ap-5399	185	3	the	the	DET
ap-5399	185	4	analytically	analytically	ADV
ap-5399	185	5	calculated	calculate	VERB
ap-5399	185	6	change	change	NOUN
ap-5399	185	7	of	of	ADP
ap-5399	185	8	temperature	temperature	NOUN
ap-5399	185	9	t	t	PROPN
ap-5399	185	10	(	(	PUNCT
ap-5399	185	11	from	from	ADP
ap-5399	185	12	the	the	DET
ap-5399	185	13	initial	initial	ADJ
ap-5399	185	14	temperature	temperature	NOUN
ap-5399	185	15	tf	tf	X
ap-5399	185	16	=	=	SYM
ap-5399	185	17	t0	t0	PROPN
ap-5399	185	18	=	=	SYM
ap-5399	185	19	0	0	PROPN
ap-5399	185	20	,	,	PUNCT
ap-5399	185	21	the	the	DET
ap-5399	185	22	real	real	ADJ
ap-5399	185	23	temperature	temperature	NOUN
ap-5399	185	24	of	of	ADP
ap-5399	185	25	the	the	DET
ap-5399	185	26	experiment	experiment	NOUN
ap-5399	185	27	is	be	AUX
ap-5399	185	28	only	only	ADV
ap-5399	185	29	an	an	DET
ap-5399	185	30	additive	additive	ADJ
ap-5399	185	31	constant	constant	ADJ
ap-5399	185	32	)	)	PUNCT
ap-5399	185	33	changes	change	NOUN
ap-5399	185	34	in	in	ADP
ap-5399	185	35	both	both	CCONJ
ap-5399	185	36	the	the	DET
ap-5399	185	37	time	time	NOUN
ap-5399	185	38	and	and	CCONJ
ap-5399	185	39	amplitude	amplitude	NOUN
ap-5399	185	40	domain	domain	NOUN
ap-5399	185	41	with	with	ADP
ap-5399	185	42	the	the	DET
ap-5399	185	43	changing	change	VERB
ap-5399	185	44	value	value	NOUN
ap-5399	185	45	of	of	ADP
ap-5399	185	46	the	the	DET
ap-5399	185	47	heat	heat	NOUN
ap-5399	185	48	transfer	transfer	NOUN
ap-5399	185	49	coefficient	coefficient	NOUN
ap-5399	185	50	αδ	αδ	ADP
ap-5399	185	51	.	.	PUNCT
ap-5399	186	1	this	this	PRON
ap-5399	186	2	would	would	AUX
ap-5399	186	3	mean	mean	VERB
ap-5399	186	4	that	that	SCONJ
ap-5399	186	5	,	,	PUNCT
ap-5399	186	6	for	for	ADP
ap-5399	186	7	the	the	DET
ap-5399	186	8	evaluation	evaluation	NOUN
ap-5399	186	9	of	of	ADP
ap-5399	186	10	the	the	DET
ap-5399	186	11	heat	heat	NOUN
ap-5399	186	12	transfer	transfer	NOUN
ap-5399	186	13	coefficient	coefficient	NOUN
ap-5399	186	14	,	,	PUNCT
ap-5399	186	15	we	we	PRON
ap-5399	186	16	could	could	AUX
ap-5399	186	17	theoretically	theoretically	ADV
ap-5399	186	18	use	use	VERB
ap-5399	186	19	two	two	NUM
ap-5399	186	20	pieces	piece	NOUN
ap-5399	186	21	of	of	ADP
ap-5399	186	22	information	information	NOUN
ap-5399	186	23	from	from	ADP
ap-5399	186	24	the	the	DET
ap-5399	186	25	measured	measured	ADJ
ap-5399	186	26	data	datum	NOUN
ap-5399	186	27	,	,	PUNCT
ap-5399	186	28	namely	namely	ADV
ap-5399	186	29	the	the	DET
ap-5399	186	30	amplitude	amplitude	NOUN
ap-5399	186	31	of	of	ADP
ap-5399	186	32	the	the	DET
ap-5399	186	33	temperature	temperature	NOUN
ap-5399	186	34	difference	difference	NOUN
ap-5399	186	35	and	and	CCONJ
ap-5399	186	36	the	the	DET
ap-5399	186	37	time	time	NOUN
ap-5399	186	38	constant	constant	ADJ
ap-5399	186	39	of	of	ADP
ap-5399	186	40	the	the	DET
ap-5399	186	41	temperature	temperature	NOUN
ap-5399	186	42	-	-	PUNCT
ap-5399	186	43	time	time	NOUN
ap-5399	186	44	relationship	relationship	NOUN
ap-5399	186	45	.	.	PUNCT
ap-5399	187	1	the	the	DET
ap-5399	187	2	relationship	relationship	NOUN
ap-5399	187	3	between	between	ADP
ap-5399	187	4	analytically	analytically	ADV
ap-5399	187	5	calculated	calculate	VERB
ap-5399	187	6	temperatures	temperature	NOUN
ap-5399	187	7	and	and	CCONJ
ap-5399	187	8	thermophysical	thermophysical	ADJ
ap-5399	187	9	properties	property	NOUN
ap-5399	187	10	of	of	ADP
ap-5399	187	11	the	the	DET
ap-5399	187	12	wall	wall	NOUN
ap-5399	187	13	or	or	CCONJ
ap-5399	187	14	its	its	PRON
ap-5399	187	15	thickness	thickness	NOUN
ap-5399	187	16	are	be	AUX
ap-5399	187	17	depicted	depict	VERB
ap-5399	187	18	in	in	ADP
ap-5399	187	19	the	the	DET
ap-5399	187	20	fig	fig	NOUN
ap-5399	187	21	.	.	PUNCT
ap-5399	188	1	3	3	NUM
ap-5399	188	2	,	,	PUNCT
ap-5399	188	3	4	4	NUM
ap-5399	188	4	and	and	CCONJ
ap-5399	188	5	5	5	NUM
ap-5399	188	6	.	.	PUNCT
ap-5399	189	1	as	as	SCONJ
ap-5399	189	2	we	we	PRON
ap-5399	189	3	can	can	AUX
ap-5399	189	4	see	see	VERB
ap-5399	189	5	,	,	PUNCT
ap-5399	189	6	the	the	DET
ap-5399	189	7	final	final	ADJ
ap-5399	189	8	temperature	temperature	NOUN
ap-5399	189	9	,	,	PUNCT
ap-5399	189	10	in	in	ADP
ap-5399	189	11	the	the	DET
ap-5399	189	12	long	long	ADJ
ap-5399	189	13	enough	enough	ADJ
ap-5399	189	14	time	time	NOUN
ap-5399	189	15	,	,	PUNCT
ap-5399	189	16	is	be	AUX
ap-5399	189	17	not	not	PART
ap-5399	189	18	affected	affect	VERB
ap-5399	189	19	by	by	ADP
ap-5399	189	20	the	the	DET
ap-5399	189	21	change	change	NOUN
ap-5399	189	22	of	of	ADP
ap-5399	189	23	any	any	DET
ap-5399	189	24	thermophysical	thermophysical	ADJ
ap-5399	189	25	property	property	NOUN
ap-5399	189	26	of	of	ADP
ap-5399	189	27	the	the	DET
ap-5399	189	28	wall	wall	NOUN
ap-5399	189	29	or	or	CCONJ
ap-5399	189	30	its	its	PRON
ap-5399	189	31	thickness	thickness	NOUN
ap-5399	189	32	.	.	PUNCT
ap-5399	190	1	the	the	DET
ap-5399	190	2	change	change	NOUN
ap-5399	190	3	of	of	ADP
ap-5399	190	4	these	these	DET
ap-5399	190	5	parameters	parameter	NOUN
ap-5399	190	6	affects	affect	VERB
ap-5399	190	7	the	the	DET
ap-5399	190	8	shape	shape	NOUN
ap-5399	190	9	of	of	ADP
ap-5399	190	10	the	the	DET
ap-5399	190	11	temperature	temperature	NOUN
ap-5399	190	12	-	-	PUNCT
ap-5399	190	13	time	time	NOUN
ap-5399	190	14	dependence	dependence	NOUN
ap-5399	190	15	.	.	PUNCT
ap-5399	191	1	thus	thus	ADV
ap-5399	191	2	,	,	PUNCT
ap-5399	191	3	a	a	DET
ap-5399	191	4	perfect	perfect	ADJ
ap-5399	191	5	knowledge	knowledge	NOUN
ap-5399	191	6	of	of	ADP
ap-5399	191	7	the	the	DET
ap-5399	191	8	thermophysical	thermophysical	ADJ
ap-5399	191	9	properties	property	NOUN
ap-5399	191	10	of	of	ADP
ap-5399	191	11	the	the	DET
ap-5399	191	12	measured	measured	ADJ
ap-5399	191	13	wall	wall	NOUN
ap-5399	191	14	and	and	CCONJ
ap-5399	191	15	its	its	PRON
ap-5399	191	16	thickness	thickness	NOUN
ap-5399	191	17	is	be	AUX
ap-5399	191	18	necessary	necessary	ADJ
ap-5399	191	19	.	.	PUNCT
ap-5399	192	1	the	the	DET
ap-5399	192	2	effect	effect	NOUN
ap-5399	192	3	of	of	ADP
ap-5399	192	4	increasing	increase	VERB
ap-5399	192	5	or	or	CCONJ
ap-5399	192	6	decreasing	decrease	VERB
ap-5399	192	7	heat	heat	NOUN
ap-5399	192	8	flux	flux	NOUN
ap-5399	192	9	q̇	q̇	NOUN
ap-5399	192	10	is	be	AUX
ap-5399	192	11	only	only	ADV
ap-5399	192	12	in	in	ADP
ap-5399	192	13	the	the	DET
ap-5399	192	14	change	change	NOUN
ap-5399	192	15	of	of	ADP
ap-5399	192	16	the	the	DET
ap-5399	192	17	final	final	ADJ
ap-5399	192	18	temperature	temperature	NOUN
ap-5399	192	19	.	.	PUNCT
ap-5399	193	1	the	the	DET
ap-5399	193	2	change	change	NOUN
ap-5399	193	3	of	of	ADP
ap-5399	193	4	thermal	thermal	ADJ
ap-5399	193	5	conductivity	conductivity	NOUN
ap-5399	193	6	λ	λ	NOUN
ap-5399	193	7	makes	make	VERB
ap-5399	193	8	almost	almost	ADV
ap-5399	193	9	no	no	PRON
ap-5399	193	10	change	change	NOUN
ap-5399	193	11	to	to	ADP
ap-5399	193	12	the	the	DET
ap-5399	193	13	shape	shape	NOUN
ap-5399	193	14	of	of	ADP
ap-5399	193	15	temperature	temperature	NOUN
ap-5399	193	16	-	-	PUNCT
ap-5399	193	17	time	time	NOUN
ap-5399	193	18	dependence	dependence	NOUN
ap-5399	193	19	(	(	PUNCT
ap-5399	193	20	the	the	DET
ap-5399	193	21	maximum	maximum	ADJ
ap-5399	193	22	error	error	NOUN
ap-5399	193	23	for	for	ADP
ap-5399	193	24	triple	triple	ADJ
ap-5399	193	25	value	value	NOUN
ap-5399	193	26	of	of	ADP
ap-5399	193	27	thermal	thermal	ADJ
ap-5399	193	28	conductivity	conductivity	NOUN
ap-5399	193	29	λ	λ	NOUN
ap-5399	193	30	is	be	AUX
ap-5399	193	31	0.019	0.019	NUM
ap-5399	193	32	k	k	NOUN
ap-5399	193	33	)	)	PUNCT
ap-5399	193	34	.	.	PUNCT
ap-5399	194	1	the	the	DET
ap-5399	194	2	effect	effect	NOUN
ap-5399	194	3	of	of	ADP
ap-5399	194	4	the	the	DET
ap-5399	194	5	heat	heat	NOUN
ap-5399	194	6	transfer	transfer	NOUN
ap-5399	194	7	coefficient	coefficient	NOUN
ap-5399	194	8	α0	α0	ADJ
ap-5399	194	9	in	in	ADP
ap-5399	194	10	the	the	DET
ap-5399	194	11	range	range	NOUN
ap-5399	194	12	0	0	NUM
ap-5399	194	13	–	–	PUNCT
ap-5399	194	14	50	50	NUM
ap-5399	194	15	w	w	NOUN
ap-5399	194	16	/	/	SYM
ap-5399	194	17	m2k	m2k	PROPN
ap-5399	194	18	is	be	AUX
ap-5399	194	19	so	so	ADV
ap-5399	194	20	low	low	ADJ
ap-5399	194	21	that	that	SCONJ
ap-5399	194	22	it	it	PRON
ap-5399	194	23	can	can	AUX
ap-5399	194	24	almost	almost	ADV
ap-5399	194	25	be	be	AUX
ap-5399	194	26	neglected	neglect	VERB
ap-5399	194	27	.	.	PUNCT
ap-5399	195	1	5	5	X
ap-5399	195	2	.	.	X
ap-5399	195	3	numerical	numerical	ADJ
ap-5399	195	4	solution	solution	NOUN
ap-5399	195	5	of	of	ADP
ap-5399	195	6	the	the	DET
ap-5399	195	7	problem	problem	NOUN
ap-5399	195	8	to	to	PART
ap-5399	195	9	confirm	confirm	VERB
ap-5399	195	10	the	the	DET
ap-5399	195	11	correctness	correctness	NOUN
ap-5399	195	12	of	of	ADP
ap-5399	195	13	the	the	DET
ap-5399	195	14	results	result	NOUN
ap-5399	195	15	,	,	PUNCT
ap-5399	195	16	we	we	PRON
ap-5399	195	17	chose	choose	VERB
ap-5399	195	18	a	a	DET
ap-5399	195	19	numerical	numerical	ADJ
ap-5399	195	20	simulation	simulation	NOUN
ap-5399	195	21	of	of	ADP
ap-5399	195	22	this	this	DET
ap-5399	195	23	initial	initial	ADJ
ap-5399	195	24	problem	problem	NOUN
ap-5399	195	25	.	.	PUNCT
ap-5399	196	1	for	for	ADP
ap-5399	196	2	the	the	DET
ap-5399	196	3	same	same	ADJ
ap-5399	196	4	conditions	condition	NOUN
ap-5399	196	5	(	(	PUNCT
ap-5399	196	6	α0	α0	ADJ
ap-5399	196	7	,	,	PUNCT
ap-5399	196	8	αδ	αδ	ADP
ap-5399	196	9	,	,	PUNCT
ap-5399	196	10	q̇	q̇	PROPN
ap-5399	196	11	,	,	PUNCT
ap-5399	196	12	cp	cp	PROPN
ap-5399	196	13	,	,	PUNCT
ap-5399	196	14	ρ	ρ	PROPN
ap-5399	196	15	,	,	PUNCT
ap-5399	196	16	λ	λ	PROPN
ap-5399	196	17	,	,	PUNCT
ap-5399	196	18	δ	δ	PROPN
ap-5399	196	19	a	a	DET
ap-5399	196	20	z′	z′	NOUN
ap-5399	196	21	)	)	PUNCT
ap-5399	196	22	we	we	PRON
ap-5399	196	23	have	have	AUX
ap-5399	196	24	prepared	prepare	VERB
ap-5399	196	25	a	a	DET
ap-5399	196	26	heat	heat	NOUN
ap-5399	196	27	conduction	conduction	NOUN
ap-5399	196	28	simulation	simulation	NOUN
ap-5399	196	29	in	in	ADP
ap-5399	196	30	a	a	DET
ap-5399	196	31	homogeneous	homogeneous	ADJ
ap-5399	196	32	wall	wall	NOUN
ap-5399	196	33	with	with	ADP
ap-5399	196	34	a	a	DET
ap-5399	196	35	finite	finite	ADJ
ap-5399	196	36	thickness	thickness	NOUN
ap-5399	196	37	of	of	ADP
ap-5399	196	38	δ	δ	PROPN
ap-5399	196	39	and	and	CCONJ
ap-5399	196	40	the	the	DET
ap-5399	196	41	initial	initial	ADJ
ap-5399	196	42	temperature	temperature	NOUN
ap-5399	196	43	of	of	ADP
ap-5399	196	44	t0	t0	PROPN
ap-5399	196	45	for	for	ADP
ap-5399	196	46	20	20	NUM
ap-5399	196	47	dimensional	dimensional	ADJ
ap-5399	196	48	points	point	NOUN
ap-5399	196	49	in	in	ADP
ap-5399	196	50	matlab	matlab	NOUN
ap-5399	196	51	using	use	VERB
ap-5399	196	52	the	the	DET
ap-5399	196	53	417	417	NUM
ap-5399	196	54	stanislav	stanislav	ADJ
ap-5399	196	55	solnař	solnař	NOUN
ap-5399	196	56	,	,	PUNCT
ap-5399	196	57	martin	martin	PROPN
ap-5399	196	58	dostál	dostál	PROPN
ap-5399	196	59	acta	acta	PROPN
ap-5399	196	60	polytechnica	polytechnica	PROPN
ap-5399	197	1	ρ=1000	ρ=1000	PROPN
ap-5399	197	2	kg	kg	ADJ
ap-5399	197	3	/	/	SYM
ap-5399	197	4	m3	m3	PROPN
ap-5399	197	5	ρ=3000	ρ=3000	NUM
ap-5399	197	6	kg	kg	PROPN
ap-5399	197	7	/	/	SYM
ap-5399	197	8	m3	m3	PROPN
ap-5399	197	9	ρ=5000	ρ=5000	NUM
ap-5399	197	10	kg	kg	NOUN
ap-5399	197	11	/	/	SYM
ap-5399	197	12	m3	m3	PROPN
ap-5399	197	13	ρ=7000	ρ=7000	PROPN
ap-5399	197	14	kg	kg	PROPN
ap-5399	197	15	/	/	SYM
ap-5399	197	16	m3	m3	PROPN
ap-5399	197	17	ρ=9000	ρ=9000	NUM
ap-5399	197	18	kg	kg	NOUN
ap-5399	197	19	/	/	SYM
ap-5399	197	20	m3	m3	PROPN
ap-5399	197	21	δ	δ	PROPN
ap-5399	197	22	t	t	PROPN
ap-5399	197	23	(	(	PUNCT
ap-5399	197	24	o	o	NOUN
ap-5399	197	25	c	c	PROPN
ap-5399	197	26	)	)	PUNCT
ap-5399	197	27	0	0	NUM
ap-5399	198	1	1	1	NUM
ap-5399	198	2	2	2	NUM
ap-5399	198	3	3	3	NUM
ap-5399	198	4	4	4	NUM
ap-5399	198	5	t	t	NOUN
ap-5399	198	6	(	(	PUNCT
ap-5399	198	7	s	s	NOUN
ap-5399	198	8	)	)	PUNCT
ap-5399	198	9	0	0	NUM
ap-5399	198	10	20	20	NUM
ap-5399	198	11	40	40	NUM
ap-5399	198	12	60	60	NUM
ap-5399	198	13	80	80	NUM
ap-5399	198	14	100	100	NUM
ap-5399	198	15	figure	figure	NOUN
ap-5399	198	16	4	4	NUM
ap-5399	198	17	.	.	PUNCT
ap-5399	198	18	calculated	calculate	VERB
ap-5399	198	19	temperature	temperature	NOUN
ap-5399	198	20	changes	change	NOUN
ap-5399	198	21	for	for	ADP
ap-5399	198	22	different	different	ADJ
ap-5399	198	23	values	value	NOUN
ap-5399	198	24	of	of	ADP
ap-5399	198	25	wall	wall	PROPN
ap-5399	198	26	density	density	PROPN
ap-5399	198	27	ρ	ρ	PROPN
ap-5399	198	28	.	.	PUNCT
ap-5399	199	1	the	the	DET
ap-5399	199	2	graph	graph	NOUN
ap-5399	199	3	is	be	AUX
ap-5399	199	4	depicted	depict	VERB
ap-5399	199	5	for	for	ADP
ap-5399	199	6	the	the	DET
ap-5399	199	7	values	value	NOUN
ap-5399	199	8	listed	list	VERB
ap-5399	199	9	in	in	ADP
ap-5399	199	10	the	the	DET
ap-5399	199	11	tab	tab	NOUN
ap-5399	199	12	.	.	PUNCT
ap-5399	200	1	1	1	NUM
ap-5399	200	2	.	.	X
ap-5399	200	3	cp=500	cp=500	PRON
ap-5399	200	4	j	j	PROPN
ap-5399	200	5	/	/	SYM
ap-5399	200	6	kgk	kgk	PROPN
ap-5399	200	7	cp=750	cp=750	PROPN
ap-5399	200	8	j	j	PROPN
ap-5399	200	9	/	/	SYM
ap-5399	200	10	kgk	kgk	PROPN
ap-5399	200	11	cp=1000	cp=1000	PROPN
ap-5399	200	12	j	j	PROPN
ap-5399	200	13	/	/	SYM
ap-5399	200	14	kgk	kgk	PROPN
ap-5399	200	15	δ	δ	PROPN
ap-5399	200	16	t	t	PROPN
ap-5399	200	17	(	(	PUNCT
ap-5399	200	18	o	o	NOUN
ap-5399	200	19	c	c	PROPN
ap-5399	200	20	)	)	PUNCT
ap-5399	200	21	0	0	NUM
ap-5399	201	1	1	1	NUM
ap-5399	201	2	2	2	NUM
ap-5399	201	3	3	3	NUM
ap-5399	201	4	4	4	NUM
ap-5399	201	5	t	t	NOUN
ap-5399	201	6	(	(	PUNCT
ap-5399	201	7	s	s	NOUN
ap-5399	201	8	)	)	PUNCT
ap-5399	201	9	0	0	NUM
ap-5399	201	10	20	20	NUM
ap-5399	201	11	40	40	NUM
ap-5399	201	12	60	60	NUM
ap-5399	201	13	80	80	NUM
ap-5399	201	14	100	100	NUM
ap-5399	201	15	figure	figure	NOUN
ap-5399	201	16	5	5	NUM
ap-5399	201	17	.	.	PUNCT
ap-5399	201	18	calculated	calculate	VERB
ap-5399	201	19	temperature	temperature	NOUN
ap-5399	201	20	changes	change	NOUN
ap-5399	201	21	for	for	ADP
ap-5399	201	22	different	different	ADJ
ap-5399	201	23	values	value	NOUN
ap-5399	201	24	of	of	ADP
ap-5399	201	25	wall	wall	PROPN
ap-5399	201	26	heat	heat	PROPN
ap-5399	201	27	capacity	capacity	NOUN
ap-5399	201	28	cp	cp	PROPN
ap-5399	201	29	.	.	PUNCT
ap-5399	202	1	the	the	DET
ap-5399	202	2	graph	graph	NOUN
ap-5399	202	3	is	be	AUX
ap-5399	202	4	depicted	depict	VERB
ap-5399	202	5	for	for	ADP
ap-5399	202	6	the	the	DET
ap-5399	202	7	values	value	NOUN
ap-5399	202	8	listed	list	VERB
ap-5399	202	9	in	in	ADP
ap-5399	202	10	the	the	DET
ap-5399	202	11	tab	tab	NOUN
ap-5399	202	12	.	.	PUNCT
ap-5399	203	1	1	1	X
ap-5399	203	2	.	.	X
ap-5399	203	3	pdepe	pdepe	ADJ
ap-5399	203	4	function	function	NOUN
ap-5399	203	5	.	.	PUNCT
ap-5399	204	1	the	the	DET
ap-5399	204	2	comparison	comparison	NOUN
ap-5399	204	3	of	of	ADP
ap-5399	204	4	calculated	calculated	ADJ
ap-5399	204	5	changes	change	NOUN
ap-5399	204	6	of	of	ADP
ap-5399	204	7	the	the	DET
ap-5399	204	8	temperature	temperature	NOUN
ap-5399	204	9	with	with	ADP
ap-5399	204	10	the	the	DET
ap-5399	204	11	analytical	analytical	ADJ
ap-5399	204	12	method	method	NOUN
ap-5399	204	13	(	(	PUNCT
ap-5399	204	14	although	although	SCONJ
ap-5399	204	15	with	with	ADP
ap-5399	204	16	numerical	numerical	ADJ
ap-5399	204	17	inverse	inverse	NOUN
ap-5399	204	18	transformation	transformation	NOUN
ap-5399	204	19	,	,	PUNCT
ap-5399	204	20	but	but	CCONJ
ap-5399	204	21	analytical	analytical	ADJ
ap-5399	204	22	)	)	PUNCT
ap-5399	204	23	and	and	CCONJ
ap-5399	204	24	numerical	numerical	ADJ
ap-5399	204	25	method	method	NOUN
ap-5399	204	26	can	can	AUX
ap-5399	204	27	be	be	AUX
ap-5399	204	28	seen	see	VERB
ap-5399	204	29	in	in	ADP
ap-5399	204	30	the	the	DET
ap-5399	204	31	fig	fig	NOUN
ap-5399	204	32	.	.	PUNCT
ap-5399	205	1	6	6	NUM
ap-5399	205	2	.	.	NOUN
ap-5399	205	3	6	6	NUM
ap-5399	205	4	.	.	X
ap-5399	205	5	discussion	discussion	NOUN
ap-5399	205	6	we	we	PRON
ap-5399	205	7	outlined	outline	VERB
ap-5399	205	8	our	our	PRON
ap-5399	205	9	derivation	derivation	NOUN
ap-5399	205	10	of	of	ADP
ap-5399	205	11	the	the	DET
ap-5399	205	12	change	change	NOUN
ap-5399	205	13	of	of	ADP
ap-5399	205	14	temperature	temperature	NOUN
ap-5399	205	15	in	in	ADP
ap-5399	205	16	a	a	DET
ap-5399	205	17	homogeneous	homogeneous	ADJ
ap-5399	205	18	wall	wall	NOUN
ap-5399	205	19	with	with	ADP
ap-5399	205	20	a	a	DET
ap-5399	205	21	finite	finite	ADJ
ap-5399	205	22	thickness	thickness	NOUN
ap-5399	205	23	of	of	ADP
ap-5399	205	24	δ	δ	PROPN
ap-5399	205	25	,	,	PUNCT
ap-5399	205	26	which	which	PRON
ap-5399	205	27	is	be	AUX
ap-5399	205	28	influenced	influence	VERB
ap-5399	205	29	by	by	ADP
ap-5399	205	30	heat	heat	NOUN
ap-5399	205	31	flow	flow	NOUN
ap-5399	205	32	rate	rate	NOUN
ap-5399	205	33	q̇	q̇	NOUN
ap-5399	205	34	on	on	ADP
ap-5399	205	35	one	one	NUM
ap-5399	205	36	side	side	NOUN
ap-5399	205	37	and	and	CCONJ
ap-5399	205	38	convective	convective	ADJ
ap-5399	205	39	heat	heat	NOUN
ap-5399	205	40	transfer	transfer	NOUN
ap-5399	205	41	from	from	ADP
ap-5399	205	42	both	both	DET
ap-5399	205	43	sides	side	NOUN
ap-5399	205	44	.	.	PUNCT
ap-5399	206	1	based	base	VERB
ap-5399	206	2	on	on	ADP
ap-5399	206	3	the	the	DET
ap-5399	206	4	knowledge	knowledge	NOUN
ap-5399	206	5	of	of	ADP
ap-5399	206	6	this	this	DET
ap-5399	206	7	time	time	NOUN
ap-5399	206	8	-	-	PUNCT
ap-5399	206	9	temperature	temperature	NOUN
ap-5399	206	10	curve	curve	NOUN
ap-5399	206	11	of	of	ADP
ap-5399	206	12	the	the	DET
ap-5399	206	13	wall	wall	NOUN
ap-5399	206	14	and	and	CCONJ
ap-5399	206	15	its	its	PRON
ap-5399	206	16	comparison	comparison	NOUN
ap-5399	206	17	with	with	ADP
ap-5399	206	18	the	the	DET
ap-5399	206	19	experimentally	experimentally	ADV
ap-5399	206	20	measured	measure	VERB
ap-5399	206	21	data	datum	NOUN
ap-5399	206	22	(	(	PUNCT
ap-5399	206	23	i.e.	i.e.	X
ap-5399	206	24	with	with	ADP
ap-5399	206	25	infra	infra	NOUN
ap-5399	206	26	red	red	ADJ
ap-5399	206	27	camera	camera	NOUN
ap-5399	206	28	)	)	PUNCT
ap-5399	206	29	,	,	PUNCT
ap-5399	206	30	it	it	PRON
ap-5399	206	31	is	be	AUX
ap-5399	206	32	then	then	ADV
ap-5399	206	33	possible	possible	ADJ
ap-5399	206	34	to	to	PART
ap-5399	206	35	predict	predict	VERB
ap-5399	206	36	the	the	DET
ap-5399	206	37	heat	heat	NOUN
ap-5399	206	38	transfer	transfer	NOUN
ap-5399	206	39	coefficient	coefficient	NOUN
ap-5399	206	40	αδ	αδ	ADP
ap-5399	206	41	on	on	ADP
ap-5399	206	42	the	the	DET
ap-5399	206	43	other	other	ADJ
ap-5399	206	44	side	side	NOUN
ap-5399	206	45	of	of	ADP
ap-5399	206	46	the	the	DET
ap-5399	206	47	wall	wall	NOUN
ap-5399	206	48	.	.	PUNCT
ap-5399	207	1	a	a	DET
ap-5399	207	2	secondary	secondary	ADJ
ap-5399	207	3	application	application	NOUN
ap-5399	207	4	of	of	ADP
ap-5399	207	5	this	this	DET
ap-5399	207	6	derivation	derivation	NOUN
ap-5399	207	7	is	be	AUX
ap-5399	207	8	an	an	DET
ap-5399	207	9	analytical	analytical	ADJ
ap-5399	207	10	description	description	NOUN
ap-5399	207	11	of	of	ADP
ap-5399	207	12	the	the	DET
ap-5399	207	13	gradual	gradual	ADJ
ap-5399	207	14	heating	heating	NOUN
ap-5399	207	15	of	of	ADP
ap-5399	207	16	the	the	DET
ap-5399	207	17	wall	wall	NOUN
ap-5399	207	18	by	by	ADP
ap-5399	207	19	an	an	DET
ap-5399	207	20	application	application	NOUN
ap-5399	207	21	of	of	ADP
ap-5399	207	22	the	the	DET
ap-5399	207	23	temperature	temperature	NOUN
ap-5399	207	24	oscillation	oscillation	NOUN
ap-5399	207	25	method	method	NOUN
ap-5399	207	26	for	for	ADP
ap-5399	207	27	measuring	measure	VERB
ap-5399	207	28	the	the	DET
ap-5399	207	29	heat	heat	NOUN
ap-5399	207	30	transfer	transfer	NOUN
ap-5399	207	31	coefficient	coefficient	NOUN
ap-5399	207	32	.	.	PUNCT
ap-5399	208	1	the	the	DET
ap-5399	208	2	analytical	analytical	ADJ
ap-5399	208	3	calculation	calculation	NOUN
ap-5399	208	4	shows	show	VERB
ap-5399	208	5	the	the	DET
ap-5399	208	6	possibility	possibility	NOUN
ap-5399	208	7	of	of	ADP
ap-5399	208	8	determining	determine	VERB
ap-5399	208	9	the	the	DET
ap-5399	208	10	heat	heat	NOUN
ap-5399	208	11	transfer	transfer	NOUN
ap-5399	208	12	coefficient	coefficient	NOUN
ap-5399	208	13	in	in	ADP
ap-5399	208	14	the	the	DET
ap-5399	208	15	temperature	temperature	NOUN
ap-5399	208	16	domain	domain	NOUN
ap-5399	208	17	(	(	PUNCT
ap-5399	208	18	each	each	PRON
ap-5399	208	19	of	of	ADP
ap-5399	208	20	the	the	DET
ap-5399	208	21	heat	heat	NOUN
ap-5399	208	22	transfer	transfer	NOUN
ap-5399	208	23	coefficients	coefficient	NOUN
ap-5399	208	24	belongs	belong	VERB
ap-5399	208	25	to	to	ADP
ap-5399	208	26	another	another	DET
ap-5399	208	27	value	value	NOUN
ap-5399	208	28	of	of	ADP
ap-5399	208	29	the	the	DET
ap-5399	208	30	maximum	maximum	ADJ
ap-5399	208	31	temperature	temperature	NOUN
ap-5399	208	32	difference	difference	NOUN
ap-5399	208	33	)	)	PUNCT
ap-5399	208	34	,	,	PUNCT
ap-5399	208	35	as	as	ADV
ap-5399	208	36	well	well	ADV
ap-5399	208	37	as	as	ADP
ap-5399	208	38	in	in	ADP
ap-5399	208	39	the	the	DET
ap-5399	208	40	time	time	NOUN
ap-5399	208	41	domain	domain	NOUN
ap-5399	208	42	(	(	PUNCT
ap-5399	208	43	each	each	PRON
ap-5399	208	44	of	of	ADP
ap-5399	208	45	the	the	DET
ap-5399	208	46	heat	heat	NOUN
ap-5399	208	47	transfer	transfer	NOUN
ap-5399	208	48	coefficient	coefficient	NOUN
ap-5399	208	49	belongs	belong	VERB
ap-5399	208	50	to	to	ADP
ap-5399	208	51	another	another	DET
ap-5399	208	52	time	time	NOUN
ap-5399	208	53	constant	constant	ADJ
ap-5399	208	54	of	of	ADP
ap-5399	208	55	the	the	DET
ap-5399	208	56	temperature	temperature	NOUN
ap-5399	208	57	progression	progression	NOUN
ap-5399	208	58	)	)	PUNCT
ap-5399	208	59	.	.	PUNCT
ap-5399	209	1	the	the	DET
ap-5399	209	2	question	question	NOUN
ap-5399	209	3	of	of	ADP
ap-5399	209	4	experimentally	experimentally	ADV
ap-5399	209	5	determined	determine	VERB
ap-5399	209	6	values	value	NOUN
ap-5399	209	7	of	of	ADP
ap-5399	209	8	the	the	DET
ap-5399	209	9	heat	heat	NOUN
ap-5399	209	10	transfer	transfer	NOUN
ap-5399	209	11	coefficient	coefficient	NOUN
ap-5399	209	12	will	will	AUX
ap-5399	209	13	be	be	AUX
ap-5399	209	14	our	our	PRON
ap-5399	209	15	future	future	ADJ
ap-5399	209	16	research	research	NOUN
ap-5399	209	17	.	.	PUNCT
ap-5399	210	1	this	this	DET
ap-5399	210	2	method	method	NOUN
ap-5399	210	3	is	be	AUX
ap-5399	210	4	independent	independent	ADJ
ap-5399	210	5	on	on	ADP
ap-5399	210	6	the	the	DET
ap-5399	210	7	medium	medium	NOUN
ap-5399	210	8	in	in	ADP
ap-5399	210	9	which	which	PRON
ap-5399	210	10	the	the	DET
ap-5399	210	11	heat	heat	NOUN
ap-5399	210	12	transfer	transfer	NOUN
ap-5399	210	13	takes	take	VERB
ap-5399	210	14	place	place	NOUN
ap-5399	210	15	,	,	PUNCT
ap-5399	210	16	as	as	ADV
ap-5399	210	17	well	well	ADV
ap-5399	210	18	as	as	ADP
ap-5399	210	19	the	the	DET
ap-5399	210	20	temperature	temperature	NOUN
ap-5399	210	21	oscillation	oscillation	NOUN
ap-5399	210	22	(	(	PUNCT
ap-5399	210	23	toirt	toirt	ADJ
ap-5399	210	24	)	)	PUNCT
ap-5399	210	25	method	method	NOUN
ap-5399	210	26	.	.	PUNCT
ap-5399	211	1	freund	freund	PROPN
ap-5399	212	1	[	[	X
ap-5399	212	2	10	10	NUM
ap-5399	212	3	]	]	PUNCT
ap-5399	212	4	described	describe	VERB
ap-5399	212	5	the	the	DET
ap-5399	212	6	problems	problem	NOUN
ap-5399	212	7	associated	associate	VERB
ap-5399	212	8	with	with	ADP
ap-5399	212	9	the	the	DET
ap-5399	212	10	gradual	gradual	ADJ
ap-5399	212	11	heating	heating	NOUN
ap-5399	212	12	of	of	ADP
ap-5399	212	13	the	the	DET
ap-5399	212	14	wall	wall	NOUN
ap-5399	212	15	when	when	SCONJ
ap-5399	212	16	applying	apply	VERB
ap-5399	212	17	this	this	DET
ap-5399	212	18	method	method	NOUN
ap-5399	212	19	.	.	PUNCT
ap-5399	213	1	this	this	DET
ap-5399	213	2	exponential	exponential	ADJ
ap-5399	213	3	part	part	NOUN
ap-5399	213	4	of	of	ADP
ap-5399	213	5	the	the	DET
ap-5399	213	6	temperature	temperature	NOUN
ap-5399	213	7	dependence	dependence	NOUN
ap-5399	213	8	made	make	VERB
ap-5399	213	9	it	it	PRON
ap-5399	213	10	impossible	impossible	ADJ
ap-5399	213	11	to	to	PART
ap-5399	213	12	correctly	correctly	ADV
ap-5399	213	13	determine	determine	VERB
ap-5399	213	14	the	the	DET
ap-5399	213	15	phase	phase	NOUN
ap-5399	213	16	shift	shift	NOUN
ap-5399	213	17	(	(	PUNCT
ap-5399	213	18	and	and	CCONJ
ap-5399	213	19	hence	hence	ADV
ap-5399	213	20	the	the	DET
ap-5399	213	21	heat	heat	NOUN
ap-5399	213	22	transfer	transfer	NOUN
ap-5399	213	23	coefficient	coefficient	NOUN
ap-5399	213	24	)	)	PUNCT
ap-5399	213	25	and	and	CCONJ
ap-5399	213	26	had	have	VERB
ap-5399	213	27	to	to	PART
ap-5399	213	28	be	be	AUX
ap-5399	213	29	removed	remove	VERB
ap-5399	213	30	from	from	ADP
ap-5399	213	31	the	the	DET
ap-5399	213	32	data	datum	NOUN
ap-5399	213	33	(	(	PUNCT
ap-5399	213	34	freund	freund	PROPN
ap-5399	213	35	used	use	VERB
ap-5399	213	36	a	a	DET
ap-5399	213	37	stepwise	stepwise	ADJ
ap-5399	213	38	iterative	iterative	NOUN
ap-5399	213	39	subtraction	subtraction	NOUN
ap-5399	213	40	of	of	ADP
ap-5399	213	41	the	the	DET
ap-5399	213	42	data	datum	NOUN
ap-5399	213	43	from	from	ADP
ap-5399	213	44	the	the	DET
ap-5399	213	45	lines	line	NOUN
ap-5399	213	46	in	in	ADP
ap-5399	213	47	each	each	DET
ap-5399	213	48	period	period	NOUN
ap-5399	213	49	)	)	PUNCT
ap-5399	213	50	.	.	PUNCT
ap-5399	214	1	this	this	DET
ap-5399	214	2	calculation	calculation	NOUN
ap-5399	214	3	could	could	AUX
ap-5399	214	4	remove	remove	VERB
ap-5399	214	5	this	this	DET
ap-5399	214	6	process	process	NOUN
ap-5399	214	7	and	and	CCONJ
ap-5399	214	8	describe	describe	VERB
ap-5399	214	9	the	the	DET
ap-5399	214	10	exponential	exponential	ADJ
ap-5399	214	11	part	part	NOUN
ap-5399	214	12	of	of	ADP
ap-5399	214	13	the	the	DET
ap-5399	214	14	temperature	temperature	NOUN
ap-5399	214	15	dependence	dependence	NOUN
ap-5399	214	16	better	well	ADV
ap-5399	214	17	and	and	CCONJ
ap-5399	214	18	more	more	ADV
ap-5399	214	19	accurate	accurate	ADJ
ap-5399	214	20	.	.	PUNCT
ap-5399	215	1	due	due	ADP
ap-5399	215	2	to	to	ADP
ap-5399	215	3	the	the	DET
ap-5399	215	4	fact	fact	NOUN
ap-5399	215	5	that	that	SCONJ
ap-5399	215	6	,	,	PUNCT
ap-5399	215	7	at	at	ADP
ap-5399	215	8	the	the	DET
ap-5399	215	9	beginning	beginning	NOUN
ap-5399	215	10	of	of	ADP
ap-5399	215	11	the	the	DET
ap-5399	215	12	data	datum	NOUN
ap-5399	215	13	processing	processing	NOUN
ap-5399	215	14	,	,	PUNCT
ap-5399	215	15	we	we	PRON
ap-5399	215	16	will	will	AUX
ap-5399	215	17	not	not	PART
ap-5399	215	18	know	know	VERB
ap-5399	215	19	the	the	DET
ap-5399	215	20	resulting	result	VERB
ap-5399	215	21	heat	heat	NOUN
ap-5399	215	22	transfer	transfer	NOUN
ap-5399	215	23	coefficient	coefficient	NOUN
ap-5399	215	24	,	,	PUNCT
ap-5399	215	25	this	this	DET
ap-5399	215	26	process	process	NOUN
ap-5399	215	27	would	would	AUX
ap-5399	215	28	be	be	AUX
ap-5399	215	29	probably	probably	ADV
ap-5399	215	30	iterative	iterative	ADJ
ap-5399	215	31	.	.	PUNCT
ap-5399	216	1	418	418	NUM
ap-5399	216	2	vol	vol	NOUN
ap-5399	216	3	.	.	PUNCT
ap-5399	217	1	59	59	NUM
ap-5399	217	2	no	no	NOUN
ap-5399	217	3	.	.	PUNCT
ap-5399	218	1	4/2019	4/2019	NUM
ap-5399	218	2	derivation	derivation	NOUN
ap-5399	218	3	of	of	ADP
ap-5399	218	4	a	a	DET
ap-5399	218	5	new	new	ADJ
ap-5399	218	6	contactless	contactless	NOUN
ap-5399	218	7	method	method	NOUN
ap-5399	218	8	αδ=500	αδ=500	PROPN
ap-5399	218	9	w	w	PROPN
ap-5399	218	10	/	/	SYM
ap-5399	218	11	m2k	m2k	PROPN
ap-5399	218	12	αδ=1000	αδ=1000	NUM
ap-5399	218	13	w	w	PROPN
ap-5399	218	14	/	/	SYM
ap-5399	218	15	m2k	m2k	PROPN
ap-5399	218	16	αδ=2000	αδ=2000	NUM
ap-5399	218	17	w	w	PROPN
ap-5399	218	18	/	/	SYM
ap-5399	218	19	m2k	m2k	PROPN
ap-5399	218	20	numerical	numerical	PROPN
ap-5399	218	21	δ	δ	PROPN
ap-5399	218	22	t	t	PROPN
ap-5399	218	23	(	(	PUNCT
ap-5399	218	24	o	o	NOUN
ap-5399	218	25	c	c	PROPN
ap-5399	218	26	)	)	PUNCT
ap-5399	218	27	0	0	NUM
ap-5399	219	1	1	1	NUM
ap-5399	219	2	2	2	NUM
ap-5399	219	3	3	3	NUM
ap-5399	219	4	4	4	NUM
ap-5399	219	5	t	t	NOUN
ap-5399	219	6	(	(	PUNCT
ap-5399	219	7	s	s	NOUN
ap-5399	219	8	)	)	PUNCT
ap-5399	219	9	0	0	NUM
ap-5399	219	10	20	20	NUM
ap-5399	219	11	40	40	NUM
ap-5399	219	12	60	60	NUM
ap-5399	219	13	80	80	NUM
ap-5399	219	14	100	100	NUM
ap-5399	219	15	figure	figure	NOUN
ap-5399	219	16	6	6	NUM
ap-5399	219	17	.	.	PUNCT
ap-5399	219	18	comparison	comparison	NOUN
ap-5399	219	19	of	of	ADP
ap-5399	219	20	analytically	analytically	ADV
ap-5399	219	21	and	and	CCONJ
ap-5399	219	22	numerically	numerically	ADV
ap-5399	219	23	calculated	calculate	VERB
ap-5399	219	24	values	value	NOUN
ap-5399	219	25	of	of	ADP
ap-5399	219	26	temperature	temperature	NOUN
ap-5399	219	27	changes	change	NOUN
ap-5399	219	28	in	in	ADP
ap-5399	219	29	the	the	DET
ap-5399	219	30	heated	heated	ADJ
ap-5399	219	31	wall	wall	NOUN
ap-5399	219	32	for	for	ADP
ap-5399	219	33	various	various	ADJ
ap-5399	219	34	values	value	NOUN
ap-5399	219	35	of	of	ADP
ap-5399	219	36	heat	heat	NOUN
ap-5399	219	37	transfer	transfer	NOUN
ap-5399	219	38	coefficient	coefficient	NOUN
ap-5399	219	39	αδ	αδ	ADP
ap-5399	219	40	.	.	PUNCT
ap-5399	220	1	halogen	halogen	PROPN
ap-5399	220	2	lights	light	NOUN
ap-5399	220	3	ir	ir	PROPN
ap-5399	220	4	camera	camera	NOUN
ap-5399	220	5	heat	heat	PROPN
ap-5399	220	6	flux	flux	NOUN
ap-5399	220	7	heat	heat	NOUN
ap-5399	220	8	transfer	transfer	NOUN
ap-5399	220	9	coefficient	coefficient	NOUN
ap-5399	220	10	wall	wall	NOUN
ap-5399	220	11	figure	figure	NOUN
ap-5399	220	12	7	7	NUM
ap-5399	220	13	.	.	PUNCT
ap-5399	220	14	schematic	schematic	ADJ
ap-5399	220	15	drawing	drawing	NOUN
ap-5399	220	16	of	of	ADP
ap-5399	220	17	our	our	PRON
ap-5399	220	18	idea	idea	NOUN
ap-5399	220	19	of	of	ADP
ap-5399	220	20	experimental	experimental	ADJ
ap-5399	220	21	measurement	measurement	NOUN
ap-5399	220	22	.	.	PUNCT
ap-5399	221	1	the	the	DET
ap-5399	221	2	inverse	inverse	ADJ
ap-5399	221	3	transformation	transformation	NOUN
ap-5399	221	4	of	of	ADP
ap-5399	221	5	the	the	DET
ap-5399	221	6	particle	particle	NOUN
ap-5399	221	7	solution	solution	NOUN
ap-5399	221	8	using	use	VERB
ap-5399	221	9	the	the	DET
ap-5399	221	10	talbot	talbot	PROPN
ap-5399	221	11	algorithm	algorithm	PROPN
ap-5399	221	12	lasts	last	VERB
ap-5399	221	13	for	for	ADP
ap-5399	221	14	200	200	NUM
ap-5399	221	15	time	time	NOUN
ap-5399	221	16	steps	step	NOUN
ap-5399	221	17	and	and	CCONJ
ap-5399	221	18	number	number	NOUN
ap-5399	221	19	of	of	ADP
ap-5399	221	20	iterations	iteration	NOUN
ap-5399	221	21	m	m	VERB
ap-5399	221	22	=	=	SYM
ap-5399	221	23	64	64	NUM
ap-5399	221	24	(	(	PUNCT
ap-5399	221	25	a	a	DET
ap-5399	221	26	preset	preset	ADJ
ap-5399	221	27	value	value	NOUN
ap-5399	221	28	)	)	PUNCT
ap-5399	221	29	about	about	ADV
ap-5399	221	30	0.3	0.3	NUM
ap-5399	221	31	seconds	second	NOUN
ap-5399	221	32	.	.	PUNCT
ap-5399	222	1	the	the	DET
ap-5399	222	2	results	result	NOUN
ap-5399	222	3	of	of	ADP
ap-5399	222	4	the	the	DET
ap-5399	222	5	analytical	analytical	ADJ
ap-5399	222	6	calculation	calculation	NOUN
ap-5399	222	7	were	be	AUX
ap-5399	222	8	compared	compare	VERB
ap-5399	222	9	to	to	ADP
ap-5399	222	10	the	the	DET
ap-5399	222	11	1d	1d	NUM
ap-5399	222	12	heat	heat	NOUN
ap-5399	222	13	conduction	conduction	NOUN
ap-5399	222	14	numerical	numerical	PROPN
ap-5399	222	15	simulation	simulation	PROPN
ap-5399	222	16	using	use	VERB
ap-5399	222	17	the	the	DET
ap-5399	222	18	matlab	matlab	PROPN
ap-5399	222	19	software	software	NOUN
ap-5399	222	20	and	and	CCONJ
ap-5399	222	21	the	the	DET
ap-5399	222	22	pdepe	pdepe	NOUN
ap-5399	222	23	function	function	NOUN
ap-5399	222	24	for	for	ADP
ap-5399	222	25	20	20	NUM
ap-5399	222	26	dimension	dimension	NOUN
ap-5399	222	27	points	point	NOUN
ap-5399	222	28	.	.	PUNCT
ap-5399	223	1	the	the	DET
ap-5399	223	2	results	result	NOUN
ap-5399	223	3	show	show	VERB
ap-5399	223	4	a	a	DET
ap-5399	223	5	very	very	ADV
ap-5399	223	6	good	good	ADJ
ap-5399	223	7	match	match	NOUN
ap-5399	223	8	of	of	ADP
ap-5399	223	9	calculated	calculate	VERB
ap-5399	223	10	values	value	NOUN
ap-5399	223	11	(	(	PUNCT
ap-5399	223	12	the	the	DET
ap-5399	223	13	maximum	maximum	ADJ
ap-5399	223	14	value	value	NOUN
ap-5399	223	15	of	of	ADP
ap-5399	223	16	the	the	DET
ap-5399	223	17	difference	difference	NOUN
ap-5399	223	18	is	be	AUX
ap-5399	223	19	0.062	0.062	NUM
ap-5399	223	20	◦	◦	NOUN
ap-5399	223	21	c	c	NOUN
ap-5399	223	22	)	)	PUNCT
ap-5399	223	23	caused	cause	VERB
ap-5399	223	24	by	by	ADP
ap-5399	223	25	the	the	DET
ap-5399	223	26	numerical	numerical	ADJ
ap-5399	223	27	implementation	implementation	NOUN
ap-5399	223	28	of	of	ADP
ap-5399	223	29	the	the	DET
ap-5399	223	30	solved	solved	ADJ
ap-5399	223	31	problem	problem	NOUN
ap-5399	223	32	.	.	PUNCT
ap-5399	224	1	7	7	X
ap-5399	224	2	.	.	X
ap-5399	224	3	idea	idea	NOUN
ap-5399	224	4	of	of	ADP
ap-5399	224	5	experimental	experimental	ADJ
ap-5399	224	6	measurements	measurement	NOUN
ap-5399	224	7	our	our	PRON
ap-5399	224	8	idea	idea	NOUN
ap-5399	224	9	of	of	ADP
ap-5399	224	10	an	an	DET
ap-5399	224	11	experimental	experimental	ADJ
ap-5399	224	12	measurement	measurement	NOUN
ap-5399	224	13	of	of	ADP
ap-5399	224	14	local	local	ADJ
ap-5399	224	15	values	value	NOUN
ap-5399	224	16	of	of	ADP
ap-5399	224	17	the	the	DET
ap-5399	224	18	heat	heat	NOUN
ap-5399	224	19	transfer	transfer	NOUN
ap-5399	224	20	coefficient	coefficient	NOUN
ap-5399	224	21	is	be	AUX
ap-5399	224	22	depicted	depict	VERB
ap-5399	224	23	in	in	ADP
ap-5399	224	24	fig	fig	NOUN
ap-5399	224	25	.	.	PUNCT
ap-5399	225	1	7	7	X
ap-5399	225	2	.	.	X
ap-5399	225	3	a	a	DET
ap-5399	225	4	measured	measured	ADJ
ap-5399	225	5	wall	wall	NOUN
ap-5399	225	6	of	of	ADP
ap-5399	225	7	metallic	metallic	ADJ
ap-5399	225	8	material	material	NOUN
ap-5399	225	9	(	(	PUNCT
ap-5399	225	10	steel	steel	NOUN
ap-5399	225	11	,	,	PUNCT
ap-5399	225	12	stainless	stainless	ADJ
ap-5399	225	13	steel	steel	NOUN
ap-5399	225	14	,	,	PUNCT
ap-5399	225	15	copper	copper	NOUN
ap-5399	225	16	,	,	PUNCT
ap-5399	225	17	aluminium	aluminium	NOUN
ap-5399	225	18	.	.	PUNCT
ap-5399	225	19	.	.	PUNCT
ap-5399	225	20	.	.	PUNCT
ap-5399	225	21	)	)	PUNCT
ap-5399	225	22	is	be	AUX
ap-5399	225	23	influenced	influence	VERB
ap-5399	225	24	by	by	ADP
ap-5399	225	25	the	the	DET
ap-5399	225	26	heat	heat	NOUN
ap-5399	225	27	transfer	transfer	NOUN
ap-5399	225	28	coefficient	coefficient	NOUN
ap-5399	225	29	we	we	PRON
ap-5399	225	30	produce	produce	VERB
ap-5399	225	31	(	(	PUNCT
ap-5399	225	32	i.e.	i.e.	X
ap-5399	225	33	airflow	airflow	NOUN
ap-5399	225	34	impinging	impinge	VERB
ap-5399	225	35	jet	jet	NOUN
ap-5399	225	36	,	,	PUNCT
ap-5399	225	37	air	air	NOUN
ap-5399	225	38	flow	flow	NOUN
ap-5399	225	39	along	along	ADP
ap-5399	225	40	the	the	DET
ap-5399	225	41	wall	wall	NOUN
ap-5399	225	42	,	,	PUNCT
ap-5399	225	43	impact	impact	NOUN
ap-5399	225	44	fluid	fluid	ADJ
ap-5399	225	45	flow	flow	NOUN
ap-5399	225	46	in	in	ADP
ap-5399	225	47	the	the	DET
ap-5399	225	48	agitated	agitated	ADJ
ap-5399	225	49	vessel	vessel	NOUN
ap-5399	225	50	.	.	PUNCT
ap-5399	225	51	.	.	PUNCT
ap-5399	225	52	.	.	PUNCT
ap-5399	225	53	)	)	PUNCT
ap-5399	225	54	.	.	PUNCT
ap-5399	226	1	heat	heat	NOUN
ap-5399	226	2	flux	flux	NOUN
ap-5399	226	3	is	be	AUX
ap-5399	226	4	supplied	supply	VERB
ap-5399	226	5	through	through	ADP
ap-5399	226	6	halogen	halogen	NOUN
ap-5399	226	7	floodlights	floodlight	NOUN
ap-5399	226	8	,	,	PUNCT
ap-5399	226	9	which	which	PRON
ap-5399	226	10	have	have	VERB
ap-5399	226	11	a	a	DET
ap-5399	226	12	very	very	ADV
ap-5399	226	13	poor	poor	ADJ
ap-5399	226	14	efficiency	efficiency	NOUN
ap-5399	226	15	and	and	CCONJ
ap-5399	226	16	much	much	ADJ
ap-5399	226	17	of	of	ADP
ap-5399	226	18	the	the	DET
ap-5399	226	19	power	power	NOUN
ap-5399	226	20	is	be	AUX
ap-5399	226	21	transformed	transform	VERB
ap-5399	226	22	into	into	ADP
ap-5399	226	23	heat	heat	NOUN
ap-5399	226	24	.	.	PUNCT
ap-5399	227	1	these	these	DET
ap-5399	227	2	halogen	halogen	NOUN
ap-5399	227	3	lights	light	NOUN
ap-5399	227	4	will	will	AUX
ap-5399	227	5	be	be	AUX
ap-5399	227	6	powered	power	VERB
ap-5399	227	7	by	by	ADP
ap-5399	227	8	power	power	NOUN
ap-5399	227	9	source	source	NOUN
ap-5399	227	10	and	and	CCONJ
ap-5399	227	11	controlled	control	VERB
ap-5399	227	12	by	by	ADP
ap-5399	227	13	a	a	DET
ap-5399	227	14	synchronized	synchronize	VERB
ap-5399	227	15	2	2	NUM
ap-5399	227	16	-	-	PUNCT
ap-5399	227	17	channel	channel	NOUN
ap-5399	227	18	signal	signal	NOUN
ap-5399	227	19	.	.	PUNCT
ap-5399	228	1	the	the	DET
ap-5399	228	2	first	first	ADJ
ap-5399	228	3	signal	signal	NOUN
ap-5399	228	4	controls	control	VERB
ap-5399	228	5	the	the	DET
ap-5399	228	6	halogen	halogen	NOUN
ap-5399	228	7	flood	flood	NOUN
ap-5399	228	8	lights	light	NOUN
ap-5399	228	9	and	and	CCONJ
ap-5399	228	10	the	the	DET
ap-5399	228	11	other	other	ADJ
ap-5399	228	12	triggers	trigger	NOUN
ap-5399	228	13	the	the	DET
ap-5399	228	14	ir	ir	PROPN
ap-5399	228	15	camera	camera	NOUN
ap-5399	228	16	at	at	ADP
ap-5399	228	17	specified	specify	VERB
ap-5399	228	18	intervals	interval	NOUN
ap-5399	228	19	.	.	PUNCT
ap-5399	229	1	both	both	DET
ap-5399	229	2	signals	signal	NOUN
ap-5399	229	3	can	can	AUX
ap-5399	229	4	be	be	AUX
ap-5399	229	5	generated	generate	VERB
ap-5399	229	6	by	by	ADP
ap-5399	229	7	a	a	DET
ap-5399	229	8	function	function	NOUN
ap-5399	229	9	generator	generator	NOUN
ap-5399	229	10	or	or	CCONJ
ap-5399	229	11	through	through	ADP
ap-5399	229	12	a	a	DET
ap-5399	229	13	pc	pc	NOUN
ap-5399	229	14	card	card	NOUN
ap-5399	229	15	.	.	PUNCT
ap-5399	230	1	the	the	DET
ap-5399	230	2	measured	measure	VERB
ap-5399	230	3	data	datum	NOUN
ap-5399	230	4	could	could	AUX
ap-5399	230	5	be	be	AUX
ap-5399	230	6	then	then	ADV
ap-5399	230	7	compared	compare	VERB
ap-5399	230	8	with	with	ADP
ap-5399	230	9	the	the	DET
ap-5399	230	10	calculated	calculate	VERB
ap-5399	230	11	analytical	analytical	ADJ
ap-5399	230	12	results	result	NOUN
ap-5399	230	13	(	(	PUNCT
ap-5399	230	14	see	see	VERB
ap-5399	230	15	fig	fig	NOUN
ap-5399	230	16	.	.	PUNCT
ap-5399	231	1	8)	8)	NUM
ap-5399	231	2	and	and	CCONJ
ap-5399	231	3	the	the	DET
ap-5399	231	4	optimization	optimization	NOUN
ap-5399	231	5	algorithm	algorithm	NOUN
ap-5399	231	6	will	will	AUX
ap-5399	231	7	be	be	AUX
ap-5399	231	8	looking	look	VERB
ap-5399	231	9	for	for	ADP
ap-5399	231	10	the	the	DET
ap-5399	231	11	best	good	ADJ
ap-5399	231	12	match	match	NOUN
ap-5399	231	13	of	of	ADP
ap-5399	231	14	analytical	analytical	ADJ
ap-5399	231	15	and	and	CCONJ
ap-5399	231	16	experimental	experimental	ADJ
ap-5399	231	17	values	value	NOUN
ap-5399	231	18	that	that	PRON
ap-5399	231	19	will	will	AUX
ap-5399	231	20	lead	lead	VERB
ap-5399	231	21	to	to	ADP
ap-5399	231	22	the	the	DET
ap-5399	231	23	evaluation	evaluation	NOUN
ap-5399	231	24	of	of	ADP
ap-5399	231	25	the	the	DET
ap-5399	231	26	heat	heat	NOUN
ap-5399	231	27	transfer	transfer	NOUN
ap-5399	231	28	coefficient	coefficient	NOUN
ap-5399	231	29	.	.	PUNCT
ap-5399	232	1	8	8	X
ap-5399	232	2	.	.	PUNCT
ap-5399	232	3	conclusions	conclusion	NOUN
ap-5399	232	4	in	in	ADP
ap-5399	232	5	this	this	DET
ap-5399	232	6	paper	paper	NOUN
ap-5399	232	7	,	,	PUNCT
ap-5399	232	8	we	we	PRON
ap-5399	232	9	have	have	AUX
ap-5399	232	10	presented	present	VERB
ap-5399	232	11	the	the	DET
ap-5399	232	12	derivation	derivation	NOUN
ap-5399	232	13	of	of	ADP
ap-5399	232	14	the	the	DET
ap-5399	232	15	temperature	temperature	NOUN
ap-5399	232	16	response	response	NOUN
ap-5399	232	17	of	of	ADP
ap-5399	232	18	the	the	DET
ap-5399	232	19	finite	finite	PROPN
ap-5399	232	20	thickness	thickness	PROPN
ap-5399	232	21	wall	wall	PROPN
ap-5399	232	22	,	,	PUNCT
ap-5399	232	23	which	which	PRON
ap-5399	232	24	is	be	AUX
ap-5399	232	25	affected	affect	VERB
ap-5399	232	26	by	by	ADP
ap-5399	232	27	the	the	DET
ap-5399	232	28	heat	heat	NOUN
ap-5399	232	29	flow	flow	NOUN
ap-5399	232	30	and	and	CCONJ
ap-5399	232	31	also	also	ADV
ap-5399	232	32	by	by	ADP
ap-5399	232	33	the	the	DET
ap-5399	232	34	convective	convective	ADJ
ap-5399	232	35	heat	heat	NOUN
ap-5399	232	36	transfer	transfer	NOUN
ap-5399	232	37	coefficient	coefficient	NOUN
ap-5399	232	38	.	.	PUNCT
ap-5399	233	1	after	after	ADP
ap-5399	233	2	defining	define	VERB
ap-5399	233	3	the	the	DET
ap-5399	233	4	problem	problem	NOUN
ap-5399	233	5	,	,	PUNCT
ap-5399	233	6	we	we	PRON
ap-5399	233	7	introduced	introduce	VERB
ap-5399	233	8	the	the	DET
ap-5399	233	9	equation	equation	NOUN
ap-5399	233	10	,	,	PUNCT
ap-5399	233	11	boundary	boundary	ADJ
ap-5399	233	12	and	and	CCONJ
ap-5399	233	13	initial	initial	ADJ
ap-5399	233	14	conditions	condition	NOUN
ap-5399	233	15	that	that	PRON
ap-5399	233	16	describe	describe	VERB
ap-5399	233	17	the	the	DET
ap-5399	233	18	problem	problem	NOUN
ap-5399	233	19	.	.	PUNCT
ap-5399	234	1	to	to	PART
ap-5399	234	2	facilitate	facilitate	VERB
ap-5399	234	3	the	the	DET
ap-5399	234	4	solution	solution	NOUN
ap-5399	234	5	419	419	NUM
ap-5399	234	6	stanislav	stanislav	ADJ
ap-5399	234	7	solnař	solnař	NOUN
ap-5399	234	8	,	,	PUNCT
ap-5399	234	9	martin	martin	PROPN
ap-5399	234	10	dostál	dostál	PROPN
ap-5399	234	11	acta	acta	PROPN
ap-5399	234	12	polytechnica	polytechnica	PROPN
ap-5399	234	13	q=2000	q=2000	PROPN
ap-5399	234	14	w	w	PROPN
ap-5399	234	15	/	/	SYM
ap-5399	234	16	m2	m2	PROPN
ap-5399	234	17	experimental	experimental	ADJ
ap-5399	234	18	analytical	analytical	ADJ
ap-5399	234	19	αδ=150	αδ=150	PROPN
ap-5399	234	20	w	w	PROPN
ap-5399	234	21	/	/	SYM
ap-5399	234	22	m2k	m2k	PROPN
ap-5399	234	23	analytical	analytical	ADJ
ap-5399	234	24	αδ=171	αδ=171	PROPN
ap-5399	234	25	w	w	PROPN
ap-5399	234	26	/	/	SYM
ap-5399	234	27	m2k	m2k	PROPN
ap-5399	234	28	analytical	analytical	ADJ
ap-5399	234	29	αδ=190	αδ=190	PROPN
ap-5399	234	30	w	w	PROPN
ap-5399	234	31	/	/	SYM
ap-5399	234	32	m2k	m2k	PROPN
ap-5399	234	33	analytical	analytical	ADJ
ap-5399	234	34	αδ=210	αδ=210	PROPN
ap-5399	234	35	w	w	PROPN
ap-5399	234	36	/	/	SYM
ap-5399	234	37	m2k	m2k	PROPN
ap-5399	234	38	δ	δ	PROPN
ap-5399	234	39	t	t	PROPN
ap-5399	234	40	(	(	PUNCT
ap-5399	234	41	o	o	NOUN
ap-5399	234	42	c	c	PROPN
ap-5399	234	43	)	)	PUNCT
ap-5399	234	44	0	0	NUM
ap-5399	235	1	2,5	2,5	NUM
ap-5399	235	2	5	5	NUM
ap-5399	235	3	7,5	7,5	NUM
ap-5399	235	4	10	10	NUM
ap-5399	235	5	12,5	12,5	NUM
ap-5399	235	6	t	t	NOUN
ap-5399	235	7	(	(	PUNCT
ap-5399	235	8	s	s	NOUN
ap-5399	235	9	)	)	PUNCT
ap-5399	235	10	0	0	NUM
ap-5399	236	1	20	20	NUM
ap-5399	236	2	40	40	NUM
ap-5399	236	3	60	60	NUM
ap-5399	236	4	80	80	NUM
ap-5399	236	5	figure	figure	NOUN
ap-5399	236	6	8	8	NUM
ap-5399	236	7	.	.	PUNCT
ap-5399	236	8	comparison	comparison	NOUN
ap-5399	236	9	of	of	ADP
ap-5399	236	10	experimental	experimental	ADJ
ap-5399	236	11	and	and	CCONJ
ap-5399	236	12	analytical	analytical	ADJ
ap-5399	236	13	results	result	NOUN
ap-5399	236	14	.	.	PUNCT
ap-5399	237	1	the	the	DET
ap-5399	237	2	optimization	optimization	NOUN
ap-5399	237	3	algorithm	algorithm	NOUN
ap-5399	237	4	leads	lead	VERB
ap-5399	237	5	to	to	ADP
ap-5399	237	6	the	the	DET
ap-5399	237	7	heat	heat	NOUN
ap-5399	237	8	transfer	transfer	NOUN
ap-5399	237	9	coefficient	coefficient	NOUN
ap-5399	237	10	αδ	αδ	ADP
ap-5399	237	11	=	=	NOUN
ap-5399	237	12	171	171	NUM
ap-5399	237	13	w	w	NOUN
ap-5399	237	14	/	/	SYM
ap-5399	237	15	m2k	m2k	PROPN
ap-5399	237	16	.	.	PUNCT
ap-5399	238	1	of	of	ADP
ap-5399	238	2	this	this	DET
ap-5399	238	3	system	system	NOUN
ap-5399	238	4	of	of	ADP
ap-5399	238	5	equations	equation	NOUN
ap-5399	238	6	,	,	PUNCT
ap-5399	238	7	we	we	PRON
ap-5399	238	8	used	use	VERB
ap-5399	238	9	the	the	DET
ap-5399	238	10	laplace	laplace	NOUN
ap-5399	238	11	’s	’s	PART
ap-5399	238	12	transformation	transformation	NOUN
ap-5399	238	13	to	to	PART
ap-5399	238	14	make	make	VERB
ap-5399	238	15	the	the	DET
ap-5399	238	16	solution	solution	NOUN
ap-5399	238	17	easier	easy	ADJ
ap-5399	238	18	.	.	PUNCT
ap-5399	239	1	an	an	DET
ap-5399	239	2	inverse	inverse	ADJ
ap-5399	239	3	transformation	transformation	NOUN
ap-5399	239	4	of	of	ADP
ap-5399	239	5	the	the	DET
ap-5399	239	6	resulting	result	VERB
ap-5399	239	7	equation	equation	NOUN
ap-5399	239	8	is	be	AUX
ap-5399	239	9	not	not	PART
ap-5399	239	10	easy	easy	ADJ
ap-5399	239	11	,	,	PUNCT
ap-5399	239	12	so	so	ADV
ap-5399	239	13	we	we	PRON
ap-5399	239	14	used	use	VERB
ap-5399	239	15	a	a	DET
ap-5399	239	16	numerical	numerical	ADJ
ap-5399	239	17	method	method	NOUN
ap-5399	239	18	to	to	PART
ap-5399	239	19	perform	perform	VERB
ap-5399	239	20	the	the	DET
ap-5399	239	21	inverse	inverse	ADJ
ap-5399	239	22	laplace	laplace	NOUN
ap-5399	239	23	transform	transform	NOUN
ap-5399	239	24	.	.	PUNCT
ap-5399	240	1	the	the	DET
ap-5399	240	2	analytical	analytical	ADJ
ap-5399	240	3	results	result	NOUN
ap-5399	240	4	as	as	ADV
ap-5399	240	5	well	well	ADV
ap-5399	240	6	as	as	ADP
ap-5399	240	7	the	the	DET
ap-5399	240	8	dependence	dependence	NOUN
ap-5399	240	9	of	of	ADP
ap-5399	240	10	some	some	DET
ap-5399	240	11	thermophysical	thermophysical	ADJ
ap-5399	240	12	parameters	parameter	NOUN
ap-5399	240	13	of	of	ADP
ap-5399	240	14	the	the	DET
ap-5399	240	15	wall	wall	NOUN
ap-5399	240	16	were	be	AUX
ap-5399	240	17	plotted	plot	VERB
ap-5399	240	18	.	.	PUNCT
ap-5399	241	1	other	other	ADJ
ap-5399	241	2	wall	wall	PROPN
ap-5399	241	3	parameters	parameter	NOUN
ap-5399	241	4	do	do	AUX
ap-5399	241	5	not	not	PART
ap-5399	241	6	have	have	VERB
ap-5399	241	7	a	a	DET
ap-5399	241	8	major	major	ADJ
ap-5399	241	9	impact	impact	NOUN
ap-5399	241	10	on	on	ADP
ap-5399	241	11	the	the	DET
ap-5399	241	12	solution	solution	NOUN
ap-5399	241	13	.	.	PUNCT
ap-5399	242	1	we	we	PRON
ap-5399	242	2	verified	verify	VERB
ap-5399	242	3	the	the	DET
ap-5399	242	4	correctness	correctness	NOUN
ap-5399	242	5	of	of	ADP
ap-5399	242	6	our	our	PRON
ap-5399	242	7	derivation	derivation	NOUN
ap-5399	242	8	by	by	ADP
ap-5399	242	9	a	a	DET
ap-5399	242	10	numerical	numerical	ADJ
ap-5399	242	11	simulation	simulation	NOUN
ap-5399	242	12	in	in	ADP
ap-5399	242	13	matlab	matlab	PROPN
ap-5399	242	14	.	.	PUNCT
ap-5399	243	1	our	our	PRON
ap-5399	243	2	idea	idea	NOUN
ap-5399	243	3	of	of	ADP
ap-5399	243	4	an	an	DET
ap-5399	243	5	experimental	experimental	ADJ
ap-5399	243	6	measurement	measurement	NOUN
ap-5399	243	7	was	be	AUX
ap-5399	243	8	presented	present	VERB
ap-5399	243	9	and	and	CCONJ
ap-5399	243	10	also	also	ADV
ap-5399	243	11	representative	representative	VERB
ap-5399	243	12	measured	measured	ADJ
ap-5399	243	13	values	value	NOUN
ap-5399	243	14	of	of	ADP
ap-5399	243	15	the	the	DET
ap-5399	243	16	wall	wall	NOUN
ap-5399	243	17	temperature	temperature	NOUN
ap-5399	243	18	were	be	AUX
ap-5399	243	19	compared	compare	VERB
ap-5399	243	20	with	with	ADP
ap-5399	243	21	the	the	DET
ap-5399	243	22	analytical	analytical	ADJ
ap-5399	243	23	solution	solution	NOUN
ap-5399	243	24	of	of	ADP
ap-5399	243	25	this	this	DET
ap-5399	243	26	problem	problem	NOUN
ap-5399	243	27	.	.	PUNCT
ap-5399	244	1	list	list	NOUN
ap-5399	244	2	of	of	ADP
ap-5399	244	3	symbols	symbol	NOUN
ap-5399	244	4	a	a	DET
ap-5399	244	5	temperature	temperature	NOUN
ap-5399	244	6	diffusivity	diffusivity	NOUN
ap-5399	244	7	[	[	X
ap-5399	244	8	m2	m2	PROPN
ap-5399	244	9	s−1	s−1	PROPN
ap-5399	244	10	]	]	PUNCT
ap-5399	244	11	bi0	bi0	NOUN
ap-5399	244	12	biot	biot	ADJ
ap-5399	244	13	number	number	NOUN
ap-5399	244	14	in	in	ADP
ap-5399	244	15	place	place	NOUN
ap-5399	244	16	z	z	NOUN
ap-5399	245	1	=	=	SYM
ap-5399	245	2	0	0	NUM
ap-5399	246	1	(=	(=	NOUN
ap-5399	246	2	α0	α0	PROPN
ap-5399	246	3	δ	δ	PROPN
ap-5399	246	4	/	/	SYM
ap-5399	246	5	λ	λ	NOUN
ap-5399	246	6	)	)	PUNCT
ap-5399	247	1	[	[	X
ap-5399	247	2	–	–	PUNCT
ap-5399	247	3	]	]	PUNCT
ap-5399	247	4	biδ	biδ	NOUN
ap-5399	247	5	biot	biot	ADJ
ap-5399	247	6	number	number	NOUN
ap-5399	247	7	in	in	ADP
ap-5399	247	8	place	place	NOUN
ap-5399	247	9	z	z	NOUN
ap-5399	248	1	=	=	PUNCT
ap-5399	248	2	δ	δ	PROPN
ap-5399	248	3	(=	(=	X
ap-5399	248	4	αδ	αδ	ADP
ap-5399	248	5	δ	δ	PROPN
ap-5399	248	6	/	/	SYM
ap-5399	248	7	λ	λ	PROPN
ap-5399	248	8	)	)	PUNCT
ap-5399	249	1	[	[	X
ap-5399	249	2	–	–	PUNCT
ap-5399	249	3	]	]	X
ap-5399	249	4	c1	c1	NOUN
ap-5399	249	5	,	,	PUNCT
ap-5399	249	6	c2	c2	PROPN
ap-5399	249	7	integration	integration	NOUN
ap-5399	249	8	constants	constant	VERB
ap-5399	250	1	[	[	X
ap-5399	250	2	–	–	PUNCT
ap-5399	250	3	]	]	PUNCT
ap-5399	250	4	cp	cp	NUM
ap-5399	250	5	specific	specific	ADJ
ap-5399	250	6	heat	heat	NOUN
ap-5399	250	7	capacity	capacity	NOUN
ap-5399	250	8	[	[	X
ap-5399	250	9	j	j	PROPN
ap-5399	250	10	kg−1	kg−1	PROPN
ap-5399	250	11	k−1	k−1	PROPN
ap-5399	250	12	]	]	PUNCT
ap-5399	250	13	f(t	f(t	PROPN
ap-5399	250	14	)	)	PUNCT
ap-5399	250	15	function	function	NOUN
ap-5399	250	16	in	in	ADP
ap-5399	250	17	real	real	ADJ
ap-5399	250	18	time	time	NOUN
ap-5399	250	19	t	t	PROPN
ap-5399	251	1	[	[	X
ap-5399	251	2	–	–	PUNCT
ap-5399	251	3	]	]	X
ap-5399	251	4	f	f	PROPN
ap-5399	251	5	′(t	′(t	PROPN
ap-5399	251	6	)	)	PUNCT
ap-5399	251	7	derivative	derivative	NOUN
ap-5399	251	8	of	of	ADP
ap-5399	251	9	function	function	NOUN
ap-5399	251	10	[	[	X
ap-5399	251	11	–	–	PUNCT
ap-5399	251	12	]	]	PUNCT
ap-5399	251	13	f(s	f(	NOUN
ap-5399	251	14	)	)	PUNCT
ap-5399	251	15	image	image	NOUN
ap-5399	251	16	of	of	ADP
ap-5399	251	17	the	the	DET
ap-5399	251	18	function	function	NOUN
ap-5399	251	19	in	in	ADP
ap-5399	251	20	the	the	DET
ap-5399	251	21	laplace	laplace	NOUN
ap-5399	251	22	space	space	NOUN
ap-5399	252	1	[	[	X
ap-5399	252	2	–	–	PUNCT
ap-5399	252	3	]	]	PUNCT
ap-5399	252	4	h(t	h(t	PROPN
ap-5399	252	5	)	)	PUNCT
ap-5399	252	6	heaviside	heaviside	ADJ
ap-5399	252	7	function	function	NOUN
ap-5399	252	8	[	[	X
ap-5399	252	9	–	–	PUNCT
ap-5399	252	10	]	]	PUNCT
ap-5399	252	11	q̇	q̇	NOUN
ap-5399	252	12	heat	heat	NOUN
ap-5399	252	13	flow	flow	NOUN
ap-5399	252	14	rate	rate	NOUN
ap-5399	253	1	[	[	X
ap-5399	253	2	w	w	X
ap-5399	253	3	]	]	X
ap-5399	253	4	q̇	q̇	ADJ
ap-5399	253	5	heat	heat	NOUN
ap-5399	253	6	flux	flux	NOUN
ap-5399	254	1	[	[	X
ap-5399	254	2	w	w	NOUN
ap-5399	254	3	m−2	m−2	NOUN
ap-5399	254	4	]	]	PUNCT
ap-5399	254	5	q̂	q̂	NUM
ap-5399	254	6	amplitude	amplitude	NOUN
ap-5399	254	7	of	of	ADP
ap-5399	254	8	heat	heat	NOUN
ap-5399	254	9	flux	flux	NOUN
ap-5399	255	1	[	[	X
ap-5399	255	2	w	w	NOUN
ap-5399	255	3	m−2	m−2	PROPN
ap-5399	255	4	]	]	PUNCT
ap-5399	255	5	s	s	VERB
ap-5399	255	6	variable	variable	NOUN
ap-5399	255	7	in	in	ADP
ap-5399	255	8	laplace	laplace	NOUN
ap-5399	255	9	space	space	NOUN
ap-5399	255	10	[	[	X
ap-5399	255	11	–	–	PUNCT
ap-5399	255	12	]	]	X
ap-5399	255	13	s	s	PART
ap-5399	255	14	surface	surface	NOUN
ap-5399	255	15	[	[	X
ap-5399	255	16	m2	m2	X
ap-5399	255	17	]	]	X
ap-5399	255	18	t	t	NOUN
ap-5399	255	19	time	time	NOUN
ap-5399	255	20	[	[	X
ap-5399	255	21	s	s	X
ap-5399	255	22	]	]	X
ap-5399	255	23	t′	t′	NUM
ap-5399	255	24	dimensionless	dimensionless	ADJ
ap-5399	255	25	time	time	NOUN
ap-5399	255	26	(=	(=	ADP
ap-5399	255	27	a	a	DET
ap-5399	255	28	t	t	PROPN
ap-5399	255	29	/	/	SYM
ap-5399	255	30	δ2	δ2	VERB
ap-5399	255	31	)	)	PUNCT
ap-5399	256	1	[	[	X
ap-5399	256	2	–	–	PUNCT
ap-5399	256	3	]	]	PUNCT
ap-5399	256	4	t	t	NOUN
ap-5399	256	5	temperature	temperature	NOUN
ap-5399	256	6	[	[	X
ap-5399	256	7	k	k	X
ap-5399	256	8	,	,	PUNCT
ap-5399	256	9	◦	◦	NOUN
ap-5399	256	10	c	c	NOUN
ap-5399	256	11	]	]	X
ap-5399	256	12	t0	t0	X
ap-5399	256	13	temperature	temperature	NOUN
ap-5399	256	14	at	at	ADP
ap-5399	256	15	the	the	DET
ap-5399	256	16	time	time	NOUN
ap-5399	256	17	t	t	NOUN
ap-5399	256	18	=	=	SYM
ap-5399	256	19	0	0	PUNCT
ap-5399	257	1	[	[	X
ap-5399	257	2	k	k	X
ap-5399	257	3	,	,	PUNCT
ap-5399	257	4	◦	◦	NOUN
ap-5399	257	5	c	c	NOUN
ap-5399	257	6	]	]	X
ap-5399	257	7	tf	tf	PROPN
ap-5399	257	8	ambient	ambient	ADJ
ap-5399	257	9	temperature	temperature	NOUN
ap-5399	257	10	[	[	X
ap-5399	257	11	k	k	X
ap-5399	257	12	,	,	PUNCT
ap-5399	257	13	◦	◦	NOUN
ap-5399	257	14	c	c	NOUN
ap-5399	257	15	]	]	PUNCT
ap-5399	257	16	∆t	∆t	NOUN
ap-5399	257	17	temperature	temperature	NOUN
ap-5399	257	18	difference	difference	NOUN
ap-5399	258	1	[	[	X
ap-5399	258	2	k	k	X
ap-5399	258	3	,	,	PUNCT
ap-5399	258	4	◦	◦	NOUN
ap-5399	258	5	c	c	NOUN
ap-5399	258	6	]	]	X
ap-5399	258	7	x	x	X
ap-5399	258	8	,	,	PUNCT
ap-5399	258	9	y	y	PROPN
ap-5399	258	10	,	,	PUNCT
ap-5399	258	11	z	z	NOUN
ap-5399	258	12	coordinations	coordination	NOUN
ap-5399	258	13	[	[	X
ap-5399	258	14	m	m	X
ap-5399	258	15	]	]	X
ap-5399	258	16	z′	z′	NUM
ap-5399	258	17	dimensionless	dimensionless	NOUN
ap-5399	258	18	coordination	coordination	NOUN
ap-5399	258	19	(=	(=	NOUN
ap-5399	258	20	z	z	X
ap-5399	258	21	/	/	SYM
ap-5399	258	22	δ	δ	NOUN
ap-5399	258	23	)	)	PUNCT
ap-5399	259	1	[	[	X
ap-5399	259	2	–	–	PUNCT
ap-5399	259	3	]	]	PUNCT
ap-5399	259	4	α	α	PRON
ap-5399	259	5	heat	heat	NOUN
ap-5399	259	6	transfer	transfer	NOUN
ap-5399	259	7	coefficient	coefficient	NOUN
ap-5399	259	8	[	[	X
ap-5399	259	9	w	w	PROPN
ap-5399	259	10	m−2	m−2	PROPN
ap-5399	259	11	k−1	k−1	PROPN
ap-5399	259	12	]	]	X
ap-5399	259	13	α0	α0	ADJ
ap-5399	259	14	heat	heat	NOUN
ap-5399	259	15	transfer	transfer	NOUN
ap-5399	259	16	coefficient	coefficient	NOUN
ap-5399	259	17	in	in	ADP
ap-5399	259	18	place	place	NOUN
ap-5399	259	19	z	z	NOUN
ap-5399	259	20	=	=	PUNCT
ap-5399	259	21	0	0	PUNCT
ap-5399	260	1	[	[	X
ap-5399	260	2	w	w	PROPN
ap-5399	260	3	m−2	m−2	PROPN
ap-5399	260	4	k−1	k−1	PROPN
ap-5399	260	5	]	]	PUNCT
ap-5399	260	6	αδ	αδ	PART
ap-5399	260	7	heat	heat	NOUN
ap-5399	260	8	transfer	transfer	NOUN
ap-5399	260	9	coefficient	coefficient	NOUN
ap-5399	260	10	in	in	ADP
ap-5399	260	11	place	place	NOUN
ap-5399	260	12	z	z	NOUN
ap-5399	260	13	=	=	PUNCT
ap-5399	260	14	δ	δ	PROPN
ap-5399	261	1	[	[	X
ap-5399	261	2	w	w	PROPN
ap-5399	261	3	m−2	m−2	PROPN
ap-5399	261	4	k−1	k−1	PROPN
ap-5399	261	5	]	]	PUNCT
ap-5399	261	6	δ	δ	PROPN
ap-5399	261	7	thickness	thickness	NOUN
ap-5399	261	8	of	of	ADP
ap-5399	261	9	the	the	DET
ap-5399	261	10	wall	wall	NOUN
ap-5399	261	11	[	[	X
ap-5399	261	12	m	m	X
ap-5399	261	13	]	]	X
ap-5399	261	14	λ	λ	VERB
ap-5399	261	15	thermal	thermal	ADJ
ap-5399	261	16	conductivity	conductivity	NOUN
ap-5399	261	17	[	[	X
ap-5399	261	18	w	w	NOUN
ap-5399	261	19	m−1	m−1	PROPN
ap-5399	261	20	k−1	k−1	PROPN
ap-5399	261	21	]	]	PUNCT
ap-5399	261	22	λ	λ	X
ap-5399	261	23	roots	root	NOUN
ap-5399	261	24	of	of	ADP
ap-5399	261	25	equation	equation	NOUN
ap-5399	261	26	[	[	X
ap-5399	261	27	–	–	PUNCT
ap-5399	261	28	]	]	PUNCT
ap-5399	261	29	ρ	ρ	NUM
ap-5399	261	30	density	density	NOUN
ap-5399	262	1	[	[	X
ap-5399	262	2	kg	kg	X
ap-5399	262	3	m−3	m−3	NOUN
ap-5399	262	4	]	]	X
ap-5399	262	5	420	420	NUM
ap-5399	262	6	vol	vol	NOUN
ap-5399	262	7	.	.	PUNCT
ap-5399	263	1	59	59	NUM
ap-5399	263	2	no	no	NOUN
ap-5399	263	3	.	.	PUNCT
ap-5399	264	1	4/2019	4/2019	NUM
ap-5399	264	2	derivation	derivation	NOUN
ap-5399	264	3	of	of	ADP
ap-5399	264	4	a	a	DET
ap-5399	264	5	new	new	ADJ
ap-5399	264	6	contactless	contactless	NOUN
ap-5399	264	7	method	method	NOUN
ap-5399	264	8	abbreviations	abbreviation	NOUN
ap-5399	264	9	edm	edm	PROPN
ap-5399	264	10	electrodiffusion	electrodiffusion	PROPN
ap-5399	264	11	method	method	PROPN
ap-5399	264	12	rgb	rgb	PROPN
ap-5399	264	13	red	red	ADJ
ap-5399	264	14	-	-	PUNCT
ap-5399	264	15	green	green	ADJ
ap-5399	264	16	-	-	PUNCT
ap-5399	264	17	blue	blue	ADJ
ap-5399	264	18	tlc	tlc	NOUN
ap-5399	264	19	thermochromic	thermochromic	NOUN
ap-5399	264	20	liquid	liquid	NOUN
ap-5399	264	21	crystals	crystal	NOUN
ap-5399	264	22	toirt	toirt	VERB
ap-5399	264	23	temperature	temperature	NOUN
ap-5399	264	24	oscillation	oscillation	NOUN
ap-5399	264	25	infra	infra	NOUN
ap-5399	264	26	-	-	PUNCT
ap-5399	264	27	red	red	ADJ
ap-5399	264	28	thermography	thermography	NOUN
ap-5399	264	29	acknowledgements	acknowledgement	NOUN
ap-5399	264	30	authors	author	NOUN
ap-5399	264	31	acknowledge	acknowledge	VERB
ap-5399	264	32	support	support	NOUN
ap-5399	264	33	from	from	ADP
ap-5399	264	34	the	the	DET
ap-5399	264	35	grant	grant	NOUN
ap-5399	264	36	agency	agency	NOUN
ap-5399	264	37	of	of	ADP
ap-5399	264	38	the	the	DET
ap-5399	264	39	czech	czech	PROPN
ap-5399	264	40	technical	technical	PROPN
ap-5399	264	41	university	university	PROPN
ap-5399	264	42	in	in	ADP
ap-5399	264	43	prague	prague	PROPN
ap-5399	264	44	,	,	PUNCT
ap-5399	264	45	grant	grant	VERB
ap-5399	264	46	sgs18/129	sgs18/129	PROPN
ap-5399	264	47	/	/	SYM
ap-5399	264	48	ohk2/2t/12	ohk2/2t/12	PROPN
ap-5399	264	49	and	and	CCONJ
ap-5399	264	50	support	support	NOUN
ap-5399	264	51	from	from	ADP
ap-5399	264	52	the	the	DET
ap-5399	264	53	eu	eu	PROPN
ap-5399	264	54	operational	operational	ADJ
ap-5399	264	55	programme	programme	PROPN
ap-5399	264	56	research	research	NOUN
ap-5399	264	57	,	,	PUNCT
ap-5399	264	58	development	development	NOUN
ap-5399	264	59	and	and	CCONJ
ap-5399	264	60	education	education	NOUN
ap-5399	264	61	,	,	PUNCT
ap-5399	264	62	and	and	CCONJ
ap-5399	264	63	from	from	ADP
ap-5399	264	64	the	the	DET
ap-5399	264	65	center	center	NOUN
ap-5399	264	66	of	of	ADP
ap-5399	264	67	advanced	advanced	ADJ
ap-5399	264	68	aerospace	aerospace	NOUN
ap-5399	264	69	technology	technology	NOUN
ap-5399	264	70	(	(	PUNCT
ap-5399	264	71	cz.02.1.01/0.0/0.0/16_019/0000826	cz.02.1.01/0.0/0.0/16_019/0000826	NUM
ap-5399	264	72	)	)	PUNCT
ap-5399	264	73	,	,	PUNCT
ap-5399	264	74	faculty	faculty	NOUN
ap-5399	264	75	of	of	ADP
ap-5399	264	76	mechanical	mechanical	ADJ
ap-5399	264	77	engineering	engineering	NOUN
ap-5399	264	78	,	,	PUNCT
ap-5399	264	79	czech	czech	PROPN
ap-5399	264	80	technical	technical	PROPN
ap-5399	264	81	university	university	PROPN
ap-5399	264	82	in	in	ADP
ap-5399	264	83	prague	prague	PROPN
ap-5399	264	84	.	.	PUNCT
ap-5399	265	1	references	reference	NOUN
ap-5399	265	2	[	[	X
ap-5399	265	3	1	1	X
ap-5399	265	4	]	]	PUNCT
ap-5399	265	5	v.	v.	X
ap-5399	265	6	katti	katti	PROPN
ap-5399	265	7	,	,	PUNCT
ap-5399	265	8	s.	s.	PROPN
ap-5399	265	9	v.	v.	PROPN
ap-5399	265	10	prabhu	prabhu	PROPN
ap-5399	265	11	.	.	PUNCT
ap-5399	266	1	experimental	experimental	ADJ
ap-5399	266	2	study	study	NOUN
ap-5399	266	3	and	and	CCONJ
ap-5399	266	4	theoretical	theoretical	ADJ
ap-5399	266	5	analysis	analysis	NOUN
ap-5399	266	6	of	of	ADP
ap-5399	266	7	local	local	ADJ
ap-5399	266	8	heat	heat	NOUN
ap-5399	266	9	transfer	transfer	NOUN
ap-5399	266	10	distribution	distribution	NOUN
ap-5399	266	11	between	between	ADP
ap-5399	266	12	smooth	smooth	ADJ
ap-5399	266	13	flat	flat	ADJ
ap-5399	266	14	surface	surface	NOUN
ap-5399	266	15	and	and	CCONJ
ap-5399	266	16	impinging	impinge	VERB
ap-5399	266	17	air	air	NOUN
ap-5399	266	18	jet	jet	NOUN
ap-5399	266	19	from	from	ADP
ap-5399	266	20	a	a	DET
ap-5399	266	21	circular	circular	ADJ
ap-5399	266	22	straight	straight	ADJ
ap-5399	266	23	pipe	pipe	NOUN
ap-5399	266	24	nozzle	nozzle	NOUN
ap-5399	266	25	.	.	PUNCT
ap-5399	267	1	international	international	ADJ
ap-5399	267	2	journal	journal	PROPN
ap-5399	267	3	of	of	ADP
ap-5399	267	4	heat	heat	NOUN
ap-5399	267	5	and	and	CCONJ
ap-5399	267	6	mass	mass	NOUN
ap-5399	267	7	transfer	transfer	NOUN
ap-5399	267	8	51:4480–4495	51:4480–4495	NUM
ap-5399	267	9	,	,	PUNCT
ap-5399	267	10	2008	2008	NUM
ap-5399	267	11	.	.	PUNCT
ap-5399	268	1	doi:10.1016	doi:10.1016	PROPN
ap-5399	268	2	/	/	SYM
ap-5399	268	3	j.ijheatmasstransfer.2007.12.024	j.ijheatmasstransfer.2007.12.024	PROPN
ap-5399	268	4	.	.	PUNCT
ap-5399	269	1	[	[	X
ap-5399	269	2	2	2	NUM
ap-5399	269	3	]	]	PUNCT
ap-5399	269	4	w.	w.	PROPN
ap-5399	269	5	kenneth	kenneth	PROPN
ap-5399	269	6	,	,	PUNCT
ap-5399	269	7	z.	z.	PROPN
ap-5399	269	8	wang	wang	PROPN
ap-5399	269	9	,	,	PUNCT
ap-5399	269	10	p.	p.	PROPN
ap-5399	269	11	t.	t.	PROPN
ap-5399	269	12	ireland	ireland	PROPN
ap-5399	269	13	,	,	PUNCT
ap-5399	269	14	t.	t.	PROPN
ap-5399	269	15	v.	v.	PROPN
ap-5399	269	16	jones	jones	PROPN
ap-5399	269	17	.	.	PUNCT
ap-5399	270	1	detailed	detailed	ADJ
ap-5399	270	2	measurements	measurement	NOUN
ap-5399	270	3	of	of	ADP
ap-5399	270	4	local	local	ADJ
ap-5399	270	5	heat	heat	NOUN
ap-5399	270	6	transfer	transfer	NOUN
ap-5399	270	7	coefficient	coefficient	NOUN
ap-5399	270	8	and	and	CCONJ
ap-5399	270	9	adiabatic	adiabatic	ADJ
ap-5399	270	10	wall	wall	NOUN
ap-5399	270	11	temperature	temperature	NOUN
ap-5399	270	12	beneath	beneath	ADP
ap-5399	270	13	an	an	DET
ap-5399	270	14	array	array	NOUN
ap-5399	270	15	of	of	ADP
ap-5399	270	16	impinging	impinge	VERB
ap-5399	270	17	jets	jet	NOUN
ap-5399	270	18	.	.	PUNCT
ap-5399	271	1	in	in	ADP
ap-5399	271	2	proceedings	proceeding	NOUN
ap-5399	271	3	of	of	ADP
ap-5399	271	4	the	the	DET
ap-5399	271	5	international	international	ADJ
ap-5399	271	6	gas	gas	NOUN
ap-5399	271	7	turbine	turbine	NOUN
ap-5399	271	8	and	and	CCONJ
ap-5399	271	9	aeroengine	aeroengine	ADJ
ap-5399	271	10	congress	congress	PROPN
ap-5399	271	11	and	and	CCONJ
ap-5399	271	12	exposition	exposition	NOUN
ap-5399	271	13	.	.	PUNCT
ap-5399	272	1	the	the	DET
ap-5399	272	2	american	american	ADJ
ap-5399	272	3	society	society	PROPN
ap-5399	272	4	of	of	ADP
ap-5399	272	5	mechanical	mechanical	ADJ
ap-5399	272	6	engineers	engineer	NOUN
ap-5399	272	7	,	,	PUNCT
ap-5399	272	8	1993	1993	NUM
ap-5399	272	9	.	.	PUNCT
ap-5399	273	1	[	[	X
ap-5399	273	2	3	3	NUM
ap-5399	273	3	]	]	PUNCT
ap-5399	273	4	a.	a.	NOUN
ap-5399	273	5	beniaiche	beniaiche	PROPN
ap-5399	273	6	,	,	PUNCT
ap-5399	273	7	a.	a.	PROPN
ap-5399	273	8	ghenaiet	ghenaiet	PROPN
ap-5399	273	9	,	,	PUNCT
ap-5399	273	10	c.	c.	PROPN
ap-5399	273	11	carcasci	carcasci	PROPN
ap-5399	273	12	,	,	PUNCT
ap-5399	273	13	b.	b.	PROPN
ap-5399	273	14	facchini	facchini	PROPN
ap-5399	273	15	.	.	PROPN
ap-5399	274	1	heat	heat	NOUN
ap-5399	274	2	transfer	transfer	NOUN
ap-5399	274	3	investigation	investigation	NOUN
ap-5399	274	4	in	in	ADP
ap-5399	274	5	new	new	ADJ
ap-5399	274	6	cooling	cool	VERB
ap-5399	274	7	schemes	scheme	NOUN
ap-5399	274	8	of	of	ADP
ap-5399	274	9	a	a	DET
ap-5399	274	10	stationary	stationary	ADJ
ap-5399	274	11	blade	blade	NOUN
ap-5399	274	12	trailing	trailing	NOUN
ap-5399	274	13	edge	edge	NOUN
ap-5399	274	14	.	.	PUNCT
ap-5399	275	1	apllied	apllie	VERB
ap-5399	275	2	thermal	thermal	ADJ
ap-5399	275	3	engineering	engineering	NOUN
ap-5399	275	4	87:816–825	87:816–825	PROPN
ap-5399	275	5	,	,	PUNCT
ap-5399	275	6	2015	2015	NUM
ap-5399	275	7	.	.	PUNCT
ap-5399	276	1	doi:10.1016	doi:10.1016	PROPN
ap-5399	276	2	/	/	SYM
ap-5399	276	3	j.applthermaleng.2015.05.001	j.applthermaleng.2015.05.001	PROPN
ap-5399	276	4	.	.	PUNCT
ap-5399	277	1	[	[	X
ap-5399	277	2	4	4	X
ap-5399	277	3	]	]	PUNCT
ap-5399	277	4	s.	s.	PROPN
ap-5399	277	5	a.	a.	PROPN
ap-5399	277	6	hippensteele	hippensteele	PROPN
ap-5399	277	7	,	,	PUNCT
ap-5399	277	8	p.	p.	PROPN
ap-5399	277	9	e.	e.	PROPN
ap-5399	277	10	pinsatte	pinsatte	PROPN
ap-5399	277	11	.	.	PUNCT
ap-5399	278	1	transient	transient	ADJ
ap-5399	278	2	liquid	liquid	ADJ
ap-5399	278	3	-	-	PUNCT
ap-5399	278	4	crystal	crystal	NOUN
ap-5399	278	5	technique	technique	NOUN
ap-5399	278	6	used	use	VERB
ap-5399	278	7	to	to	PART
ap-5399	278	8	produce	produce	VERB
ap-5399	278	9	high	high	ADJ
ap-5399	278	10	-	-	PUNCT
ap-5399	278	11	resolution	resolution	NOUN
ap-5399	278	12	convective	convective	ADJ
ap-5399	278	13	heat	heat	NOUN
ap-5399	278	14	-	-	PUNCT
ap-5399	278	15	transfer	transfer	NOUN
ap-5399	278	16	-	-	PUNCT
ap-5399	278	17	coefficient	coefficient	NOUN
ap-5399	278	18	maps	map	NOUN
ap-5399	278	19	.	.	PUNCT
ap-5399	279	1	in	in	ADP
ap-5399	279	2	proceedings	proceeding	NOUN
ap-5399	279	3	of	of	ADP
ap-5399	279	4	the	the	DET
ap-5399	279	5	national	national	ADJ
ap-5399	279	6	heat	heat	NOUN
ap-5399	279	7	transfer	transfer	NOUN
ap-5399	279	8	conference	conference	NOUN
ap-5399	279	9	.	.	PUNCT
ap-5399	280	1	atlanta	atlanta	PROPN
ap-5399	280	2	,	,	PUNCT
ap-5399	280	3	georgia	georgia	PROPN
ap-5399	280	4	,	,	PUNCT
ap-5399	280	5	1993	1993	NUM
ap-5399	280	6	.	.	PUNCT
ap-5399	281	1	[	[	X
ap-5399	281	2	5	5	NUM
ap-5399	281	3	]	]	PUNCT
ap-5399	281	4	l.	l.	PROPN
ap-5399	281	5	bohm	bohm	PROPN
ap-5399	281	6	,	,	PUNCT
ap-5399	281	7	s.	s.	PROPN
ap-5399	281	8	jankhah	jankhah	PROPN
ap-5399	281	9	,	,	PUNCT
ap-5399	281	10	j.	j.	PROPN
ap-5399	281	11	tihon	tihon	PROPN
ap-5399	281	12	,	,	PUNCT
ap-5399	281	13	et	et	PROPN
ap-5399	281	14	al	al	PROPN
ap-5399	281	15	.	.	PUNCT
ap-5399	281	16	application	application	NOUN
ap-5399	281	17	of	of	ADP
ap-5399	281	18	the	the	DET
ap-5399	281	19	electrodiffusion	electrodiffusion	NOUN
ap-5399	281	20	method	method	NOUN
ap-5399	281	21	to	to	PART
ap-5399	281	22	measure	measure	VERB
ap-5399	281	23	wall	wall	PROPN
ap-5399	281	24	shear	shear	PROPN
ap-5399	281	25	stress	stress	NOUN
ap-5399	281	26	:	:	PUNCT
ap-5399	281	27	integrating	integrate	VERB
ap-5399	281	28	theory	theory	NOUN
ap-5399	281	29	and	and	CCONJ
ap-5399	281	30	practice	practice	NOUN
ap-5399	281	31	.	.	PUNCT
ap-5399	282	1	chemical	chemical	NOUN
ap-5399	282	2	engineering	engineering	NOUN
ap-5399	282	3	and	and	CCONJ
ap-5399	282	4	technology	technology	NOUN
ap-5399	282	5	37(6):938–950	37(6):938–950	NUM
ap-5399	282	6	,	,	PUNCT
ap-5399	282	7	2014	2014	NUM
ap-5399	282	8	.	.	PUNCT
ap-5399	283	1	doi:10.1002	doi:10.1002	NOUN
ap-5399	283	2	/	/	SYM
ap-5399	283	3	ceat.201400026	ceat.201400026	PROPN
ap-5399	283	4	.	.	PUNCT
ap-5399	284	1	[	[	X
ap-5399	284	2	6	6	NUM
ap-5399	284	3	]	]	PUNCT
ap-5399	284	4	k.	k.	NOUN
ap-5399	284	5	petera	petera	PROPN
ap-5399	284	6	,	,	PUNCT
ap-5399	284	7	m.	m.	NOUN
ap-5399	284	8	dostál	dostál	PROPN
ap-5399	284	9	,	,	PUNCT
ap-5399	284	10	m.	m.	NOUN
ap-5399	284	11	věříšová	věříšová	PROPN
ap-5399	284	12	,	,	PUNCT
ap-5399	284	13	t.	t.	PROPN
ap-5399	284	14	jirout	jirout	PROPN
ap-5399	284	15	.	.	PUNCT
ap-5399	285	1	heat	heat	NOUN
ap-5399	285	2	transfer	transfer	NOUN
ap-5399	285	3	at	at	ADP
ap-5399	285	4	the	the	DET
ap-5399	285	5	bottom	bottom	NOUN
ap-5399	285	6	of	of	ADP
ap-5399	285	7	a	a	DET
ap-5399	285	8	cylindrical	cylindrical	ADJ
ap-5399	285	9	vessel	vessel	NOUN
ap-5399	285	10	impinged	impinge	VERB
ap-5399	285	11	by	by	ADP
ap-5399	285	12	a	a	DET
ap-5399	285	13	swirling	swirling	ADJ
ap-5399	285	14	flow	flow	NOUN
ap-5399	285	15	from	from	ADP
ap-5399	285	16	an	an	DET
ap-5399	285	17	impeller	impeller	NOUN
ap-5399	285	18	in	in	ADP
ap-5399	285	19	a	a	DET
ap-5399	285	20	draft	draft	NOUN
ap-5399	285	21	tube	tube	NOUN
ap-5399	285	22	.	.	PUNCT
ap-5399	286	1	chem	chem	NOUN
ap-5399	286	2	biochem	biochem	PROPN
ap-5399	286	3	eng	eng	PROPN
ap-5399	286	4	q	q	PROPN
ap-5399	286	5	31(3):343–352	31(3):343–352	PROPN
ap-5399	286	6	,	,	PUNCT
ap-5399	286	7	2017	2017	NUM
ap-5399	286	8	.	.	PUNCT
ap-5399	287	1	doi:10.15255	doi:10.15255	NOUN
ap-5399	287	2	/	/	SYM
ap-5399	287	3	cabeq.2016.1057	cabeq.2016.1057	NOUN
ap-5399	287	4	.	.	PUNCT
ap-5399	288	1	[	[	X
ap-5399	288	2	7	7	X
ap-5399	288	3	]	]	X
ap-5399	288	4	m.	m.	NOUN
ap-5399	288	5	cudak	cudak	PROPN
ap-5399	288	6	,	,	PUNCT
ap-5399	288	7	j.	j.	PROPN
ap-5399	288	8	karcz	karcz	PROPN
ap-5399	288	9	.	.	PUNCT
ap-5399	289	1	studies	study	NOUN
ap-5399	289	2	of	of	ADP
ap-5399	289	3	local	local	ADJ
ap-5399	289	4	heat	heat	NOUN
ap-5399	289	5	transfer	transfer	NOUN
ap-5399	289	6	at	at	ADP
ap-5399	289	7	vicinity	vicinity	NOUN
ap-5399	289	8	of	of	ADP
ap-5399	289	9	a	a	DET
ap-5399	289	10	wall	wall	NOUN
ap-5399	289	11	region	region	NOUN
ap-5399	289	12	of	of	ADP
ap-5399	289	13	an	an	DET
ap-5399	289	14	agitated	agitated	ADJ
ap-5399	289	15	vessel	vessel	NOUN
ap-5399	289	16	.	.	PUNCT
ap-5399	290	1	in	in	ADP
ap-5399	290	2	proceedings	proceeding	NOUN
ap-5399	290	3	of	of	ADP
ap-5399	290	4	34th	34th	ADJ
ap-5399	290	5	international	international	ADJ
ap-5399	290	6	conference	conference	NOUN
ap-5399	290	7	of	of	ADP
ap-5399	290	8	ssche	ssche	PROPN
ap-5399	290	9	.	.	PUNCT
ap-5399	291	1	2007	2007	NUM
ap-5399	291	2	.	.	PUNCT
ap-5399	292	1	[	[	X
ap-5399	292	2	8	8	X
ap-5399	292	3	]	]	X
ap-5399	292	4	j.	j.	PROPN
ap-5399	292	5	karcz	karcz	PROPN
ap-5399	292	6	,	,	PUNCT
ap-5399	292	7	f.	f.	PROPN
ap-5399	292	8	strek	strek	PROPN
ap-5399	292	9	.	.	PUNCT
ap-5399	293	1	heat	heat	NOUN
ap-5399	293	2	transfer	transfer	NOUN
ap-5399	293	3	in	in	ADP
ap-5399	293	4	jacketed	jacket	VERB
ap-5399	293	5	agitated	agitated	ADJ
ap-5399	293	6	vessels	vessel	NOUN
ap-5399	293	7	equipped	equip	VERB
ap-5399	293	8	with	with	ADP
ap-5399	293	9	non	non	ADJ
ap-5399	293	10	-	-	ADJ
ap-5399	293	11	standard	standard	ADJ
ap-5399	293	12	baffles	baffle	VERB
ap-5399	293	13	.	.	PUNCT
ap-5399	294	1	the	the	DET
ap-5399	294	2	chemical	chemical	PROPN
ap-5399	294	3	engineering	engineering	PROPN
ap-5399	294	4	journal	journal	PROPN
ap-5399	294	5	58:135–143	58:135–143	PROPN
ap-5399	294	6	,	,	PUNCT
ap-5399	294	7	1995	1995	NUM
ap-5399	294	8	.	.	PUNCT
ap-5399	295	1	doi:10.1016/0923	doi:10.1016/0923	VERB
ap-5399	295	2	-	-	PUNCT
ap-5399	295	3	0467(94)02945	0467(94)02945	NUM
ap-5399	295	4	-	-	PUNCT
ap-5399	295	5	8	8	NUM
ap-5399	295	6	.	.	PUNCT
ap-5399	296	1	[	[	X
ap-5399	296	2	9	9	NUM
ap-5399	296	3	]	]	PUNCT
ap-5399	296	4	m.	m.	NOUN
ap-5399	296	5	wandelt	wandelt	NOUN
ap-5399	296	6	,	,	PUNCT
ap-5399	296	7	w.	w.	PROPN
ap-5399	296	8	roetzel	roetzel	PROPN
ap-5399	296	9	.	.	PUNCT
ap-5399	296	10	lockin	lockin	PROPN
ap-5399	296	11	thermography	thermography	NOUN
ap-5399	296	12	as	as	ADP
ap-5399	296	13	a	a	DET
ap-5399	296	14	measurement	measurement	NOUN
ap-5399	296	15	technique	technique	NOUN
ap-5399	296	16	in	in	ADP
ap-5399	296	17	heat	heat	NOUN
ap-5399	296	18	transfer	transfer	NOUN
ap-5399	296	19	.	.	PUNCT
ap-5399	297	1	quantitative	quantitative	ADJ
ap-5399	297	2	infrared	infrared	ADJ
ap-5399	297	3	thermography	thermography	NOUN
ap-5399	297	4	96	96	NUM
ap-5399	297	5	pp	pp	NUM
ap-5399	297	6	.	.	PUNCT
ap-5399	298	1	189–194	189–194	NUM
ap-5399	298	2	,	,	PUNCT
ap-5399	298	3	1997	1997	NUM
ap-5399	298	4	.	.	PUNCT
ap-5399	299	1	doi:10.21611	doi:10.21611	NOUN
ap-5399	299	2	/	/	SYM
ap-5399	299	3	qirt.1996.031	qirt.1996.031	PROPN
ap-5399	299	4	.	.	PUNCT
ap-5399	300	1	[	[	X
ap-5399	300	2	10	10	NUM
ap-5399	300	3	]	]	X
ap-5399	300	4	s.	s.	PROPN
ap-5399	300	5	freund	freund	PROPN
ap-5399	300	6	.	.	PUNCT
ap-5399	301	1	local	local	ADJ
ap-5399	301	2	heat	heat	NOUN
ap-5399	301	3	transfer	transfer	NOUN
ap-5399	301	4	coefficients	coefficient	NOUN
ap-5399	301	5	measured	measure	VERB
ap-5399	301	6	with	with	ADP
ap-5399	301	7	temperature	temperature	NOUN
ap-5399	301	8	oscillation	oscillation	NOUN
ap-5399	301	9	ir	ir	PROPN
ap-5399	301	10	thermography	thermography	NOUN
ap-5399	301	11	.	.	PUNCT
ap-5399	302	1	ph.d	ph.d	PROPN
ap-5399	302	2	.	.	PUNCT
ap-5399	303	1	thesis	thesis	PROPN
ap-5399	303	2	,	,	PUNCT
ap-5399	303	3	universitat	universitat	ADJ
ap-5399	303	4	der	der	ADJ
ap-5399	303	5	bundeswehr	bundeswehr	PROPN
ap-5399	303	6	hamburg	hamburg	PROPN
ap-5399	303	7	,	,	PUNCT
ap-5399	303	8	hamburg	hamburg	PROPN
ap-5399	303	9	,	,	PUNCT
ap-5399	303	10	2008	2008	NUM
ap-5399	303	11	.	.	PUNCT
ap-5399	304	1	[	[	X
ap-5399	304	2	11	11	NUM
ap-5399	304	3	]	]	PUNCT
ap-5399	304	4	s.	s.	PROPN
ap-5399	304	5	freund	freund	PROPN
ap-5399	304	6	,	,	PUNCT
ap-5399	304	7	s.	s.	PROPN
ap-5399	304	8	kabelac	kabelac	PROPN
ap-5399	304	9	.	.	PUNCT
ap-5399	305	1	investigation	investigation	NOUN
ap-5399	305	2	of	of	ADP
ap-5399	305	3	local	local	ADJ
ap-5399	305	4	heat	heat	NOUN
ap-5399	305	5	transfer	transfer	NOUN
ap-5399	305	6	coefficients	coefficient	NOUN
ap-5399	305	7	in	in	ADP
ap-5399	305	8	plate	plate	NOUN
ap-5399	305	9	heat	heat	NOUN
ap-5399	305	10	exchangers	exchanger	NOUN
ap-5399	305	11	with	with	ADP
ap-5399	305	12	temperature	temperature	NOUN
ap-5399	305	13	oscillation	oscillation	NOUN
ap-5399	305	14	ir	ir	NOUN
ap-5399	305	15	thermography	thermography	NOUN
ap-5399	305	16	and	and	CCONJ
ap-5399	305	17	cfd	cfd	NOUN
ap-5399	305	18	.	.	PUNCT
ap-5399	306	1	international	international	ADJ
ap-5399	306	2	journal	journal	PROPN
ap-5399	306	3	of	of	ADP
ap-5399	306	4	heat	heat	NOUN
ap-5399	306	5	and	and	CCONJ
ap-5399	306	6	mass	mass	NOUN
ap-5399	306	7	transfer	transfer	NOUN
ap-5399	306	8	53:3764–3781	53:3764–3781	NUM
ap-5399	306	9	,	,	PUNCT
ap-5399	306	10	2010	2010	NUM
ap-5399	306	11	.	.	PUNCT
ap-5399	307	1	doi:10.1016	doi:10.1016	PROPN
ap-5399	307	2	/	/	SYM
ap-5399	307	3	j.ijheatmasstransfer.2010.04.027	j.ijheatmasstransfer.2010.04.027	PROPN
ap-5399	307	4	.	.	PUNCT
ap-5399	308	1	[	[	X
ap-5399	308	2	12	12	NUM
ap-5399	308	3	]	]	X
ap-5399	308	4	s.	s.	PROPN
ap-5399	308	5	freund	freund	PROPN
ap-5399	308	6	,	,	PUNCT
ap-5399	308	7	a.	a.	NOUN
ap-5399	308	8	g.	g.	PROPN
ap-5399	308	9	pautsch	pautsch	PROPN
ap-5399	308	10	,	,	PUNCT
ap-5399	308	11	t.	t.	PROPN
ap-5399	308	12	a.	a.	PROPN
ap-5399	308	13	shedd	shedd	PROPN
ap-5399	308	14	,	,	PUNCT
ap-5399	308	15	s.	s.	PROPN
ap-5399	308	16	kabelac	kabelac	PROPN
ap-5399	308	17	.	.	PUNCT
ap-5399	309	1	local	local	ADJ
ap-5399	309	2	heat	heat	NOUN
ap-5399	309	3	transfer	transfer	NOUN
ap-5399	309	4	coefficients	coefficient	NOUN
ap-5399	309	5	in	in	ADP
ap-5399	309	6	spray	spray	NOUN
ap-5399	309	7	cooling	cool	VERB
ap-5399	309	8	systems	system	NOUN
ap-5399	309	9	measured	measure	VERB
ap-5399	309	10	with	with	ADP
ap-5399	309	11	temperature	temperature	NOUN
ap-5399	309	12	oscillation	oscillation	NOUN
ap-5399	309	13	ir	ir	PROPN
ap-5399	309	14	thermography	thermography	NOUN
ap-5399	309	15	.	.	PUNCT
ap-5399	310	1	international	international	ADJ
ap-5399	310	2	journal	journal	PROPN
ap-5399	310	3	of	of	ADP
ap-5399	310	4	heat	heat	NOUN
ap-5399	310	5	and	and	CCONJ
ap-5399	310	6	mass	mass	NOUN
ap-5399	310	7	transfer	transfer	NOUN
ap-5399	310	8	50:1953–1962	50:1953–1962	PROPN
ap-5399	310	9	,	,	PUNCT
ap-5399	310	10	2007	2007	NUM
ap-5399	310	11	.	.	PUNCT
ap-5399	311	1	doi:10.1016	doi:10.1016	PROPN
ap-5399	311	2	/	/	SYM
ap-5399	311	3	j.ijheatmasstransfer.2006.09.028	j.ijheatmasstransfer.2006.09.028	NOUN
ap-5399	311	4	.	.	PUNCT
ap-5399	312	1	[	[	X
ap-5399	312	2	13	13	NUM
ap-5399	312	3	]	]	PUNCT
ap-5399	312	4	t.	t.	PROPN
ap-5399	312	5	myint	myint	PROPN
ap-5399	312	6	-	-	PUNCT
ap-5399	312	7	u	u	PROPN
ap-5399	312	8	,	,	PUNCT
ap-5399	312	9	l.	l.	PROPN
ap-5399	312	10	debnath	debnath	PROPN
ap-5399	312	11	.	.	PUNCT
ap-5399	313	1	linear	linear	ADJ
ap-5399	313	2	partial	partial	ADJ
ap-5399	313	3	differential	differential	NOUN
ap-5399	313	4	equations	equation	NOUN
ap-5399	313	5	for	for	ADP
ap-5399	313	6	scientists	scientist	NOUN
ap-5399	313	7	and	and	CCONJ
ap-5399	313	8	engineers	engineer	NOUN
ap-5399	313	9	.	.	PUNCT
ap-5399	314	1	borkhauser	borkhauser	NOUN
ap-5399	314	2	,	,	PUNCT
ap-5399	314	3	4th	4th	ADJ
ap-5399	314	4	edn	edn	NOUN
ap-5399	314	5	.	.	PUNCT
ap-5399	314	6	,	,	PUNCT
ap-5399	314	7	2007	2007	NUM
ap-5399	314	8	.	.	PUNCT
ap-5399	315	1	[	[	X
ap-5399	315	2	14	14	NUM
ap-5399	315	3	]	]	X
ap-5399	315	4	j.	j.	PROPN
ap-5399	315	5	abate	abate	PROPN
ap-5399	315	6	,	,	PUNCT
ap-5399	315	7	w.	w.	PROPN
ap-5399	315	8	whitt	whitt	PROPN
ap-5399	315	9	.	.	PUNCT
ap-5399	316	1	a	a	DET
ap-5399	316	2	unified	unify	VERB
ap-5399	316	3	framework	framework	NOUN
ap-5399	316	4	for	for	ADP
ap-5399	316	5	numerically	numerically	ADV
ap-5399	316	6	inverting	invert	VERB
ap-5399	316	7	laplace	laplace	NOUN
ap-5399	316	8	transforms	transform	VERB
ap-5399	316	9	.	.	PUNCT
ap-5399	317	1	informs	inform	VERB
ap-5399	317	2	journal	journal	NOUN
ap-5399	317	3	on	on	ADP
ap-5399	317	4	computing	compute	VERB
ap-5399	317	5	18(4):408–421	18(4):408–421	NOUN
ap-5399	317	6	,	,	PUNCT
ap-5399	317	7	2006	2006	NUM
ap-5399	317	8	.	.	PUNCT
ap-5399	318	1	doi:10.1287	doi:10.1287	NOUN
ap-5399	318	2	/	/	SYM
ap-5399	318	3	ijoc.1050.0137	ijoc.1050.0137	X
ap-5399	318	4	.	.	PUNCT
ap-5399	319	1	[	[	X
ap-5399	319	2	15	15	NUM
ap-5399	319	3	]	]	X
ap-5399	319	4	b.	b.	PROPN
ap-5399	319	5	weigand	weigand	PROPN
ap-5399	319	6	.	.	PUNCT
ap-5399	320	1	analytical	analytical	ADJ
ap-5399	320	2	methods	method	NOUN
ap-5399	320	3	for	for	ADP
ap-5399	320	4	heat	heat	NOUN
ap-5399	320	5	transfer	transfer	NOUN
ap-5399	320	6	and	and	CCONJ
ap-5399	320	7	fluid	fluid	ADJ
ap-5399	320	8	flow	flow	NOUN
ap-5399	320	9	problems	problem	NOUN
ap-5399	320	10	.	.	PUNCT
ap-5399	321	1	springer	springer	NOUN
ap-5399	321	2	,	,	PUNCT
ap-5399	321	3	2nd	2nd	ADJ
ap-5399	321	4	edn	edn	PROPN
ap-5399	321	5	.	.	PUNCT
ap-5399	321	6	,	,	PUNCT
ap-5399	321	7	2015	2015	NUM
ap-5399	321	8	.	.	PUNCT
ap-5399	322	1	421	421	NUM
ap-5399	322	2	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2007.12.024	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2007.12.024	NOUN
ap-5399	322	3	http://dx.doi.org/10.1016/j.applthermaleng.2015.05.001	http://dx.doi.org/10.1016/j.applthermaleng.2015.05.001	PROPN
ap-5399	322	4	http://dx.doi.org/10.1002/ceat.201400026	http://dx.doi.org/10.1002/ceat.201400026	PUNCT
ap-5399	322	5	http://dx.doi.org/10.15255/cabeq.2016.1057	http://dx.doi.org/10.15255/cabeq.2016.1057	NOUN
ap-5399	322	6	http://dx.doi.org/10.1016/0923-0467(94)02945-8	http://dx.doi.org/10.1016/0923-0467(94)02945-8	PROPN
ap-5399	322	7	http://dx.doi.org/10.21611/qirt.1996.031	http://dx.doi.org/10.21611/qirt.1996.031	NOUN
ap-5399	323	1	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.04.027	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2010.04.027	PROPN
ap-5399	323	2	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.09.028	http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.09.028	PROPN
ap-5399	323	3	http://dx.doi.org/10.1287/ijoc.1050.0137	http://dx.doi.org/10.1287/ijoc.1050.0137	NOUN
ap-5399	323	4	stanislav	stanislav	PROPN
ap-5399	323	5	solnař	solnař	PROPN
ap-5399	323	6	,	,	PUNCT
ap-5399	323	7	martin	martin	PROPN
ap-5399	323	8	dostál	dostál	PROPN
ap-5399	323	9	acta	acta	PROPN
ap-5399	323	10	polytechnica	polytechnica	PROPN
ap-5399	323	11	9	9	NUM
ap-5399	323	12	.	.	PUNCT
ap-5399	323	13	appendix	appendix	VERB
ap-5399	323	14	the	the	DET
ap-5399	323	15	matlab	matlab	PROPN
ap-5399	323	16	code	code	NOUN
ap-5399	323	17	for	for	ADP
ap-5399	323	18	calculating	calculate	VERB
ap-5399	323	19	the	the	DET
ap-5399	323	20	analytical	analytical	ADJ
ap-5399	323	21	value	value	NOUN
ap-5399	323	22	of	of	ADP
ap-5399	323	23	the	the	DET
ap-5399	323	24	change	change	NOUN
ap-5399	323	25	of	of	ADP
ap-5399	323	26	the	the	DET
ap-5399	323	27	temperature	temperature	NOUN
ap-5399	323	28	in	in	ADP
ap-5399	323	29	the	the	DET
ap-5399	323	30	wall	wall	NOUN
ap-5399	323	31	with	with	ADP
ap-5399	323	32	the	the	DET
ap-5399	323	33	talbot	talbot	PROPN
ap-5399	323	34	’s	’s	PART
ap-5399	323	35	inversion	inversion	NOUN
ap-5399	323	36	(	(	PUNCT
ap-5399	323	37	variable	variable	ADJ
ap-5399	323	38	definition	definition	NOUN
ap-5399	323	39	,	,	PUNCT
ap-5399	323	40	function	function	NOUN
ap-5399	323	41	definition	definition	NOUN
ap-5399	323	42	and	and	CCONJ
ap-5399	323	43	talbot	talbot	PROPN
ap-5399	323	44	’s	’s	PART
ap-5399	323	45	inversion	inversion	NOUN
ap-5399	323	46	)	)	PUNCT
ap-5399	323	47	.	.	PUNCT
ap-5399	324	1	clear	clear	ADJ
ap-5399	324	2	all	all	PRON
ap-5399	324	3	;	;	PUNCT
ap-5399	324	4	format	format	NOUN
ap-5399	324	5	compact	compact	NOUN
ap-5399	324	6	;	;	PUNCT
ap-5399	324	7	clc	clc	PROPN
ap-5399	324	8	;	;	PUNCT
ap-5399	324	9	d	d	X
ap-5399	324	10	=	=	NOUN
ap-5399	324	11	0.001	0.001	NUM
ap-5399	324	12	;	;	PUNCT
ap-5399	324	13	l=15	l=15	X
ap-5399	324	14	;	;	PUNCT
ap-5399	324	15	cp	cp	PROPN
ap-5399	324	16	=	=	PROPN
ap-5399	324	17	500	500	NUM
ap-5399	324	18	;	;	PUNCT
ap-5399	324	19	rho	rho	ADJ
ap-5399	324	20	=	=	NOUN
ap-5399	324	21	7900	7900	NUM
ap-5399	324	22	;	;	PUNCT
ap-5399	324	23	zstar	zstar	NOUN
ap-5399	324	24	=	=	PRON
ap-5399	324	25	0;q	0;q	PROPN
ap-5399	324	26	=	=	NOUN
ap-5399	324	27	2000	2000	NUM
ap-5399	324	28	;	;	PUNCT
ap-5399	324	29	a	a	DET
ap-5399	324	30	=	=	NOUN
ap-5399	324	31	l/	l/	X
ap-5399	324	32	(	(	PUNCT
ap-5399	324	33	rho*cp	rho*cp	NOUN
ap-5399	324	34	)	)	PUNCT
ap-5399	324	35	;	;	PUNCT
ap-5399	324	36	alfa0	alfa0	NOUN
ap-5399	324	37	=3	=3	VERB
ap-5399	324	38	;	;	PUNCT
ap-5399	324	39	alfad	alfad	NOUN
ap-5399	324	40	=	=	NOUN
ap-5399	324	41	500	500	NUM
ap-5399	324	42	;	;	PUNCT
ap-5399	324	43	bi0	bi0	X
ap-5399	324	44	=	=	NOUN
ap-5399	324	45	alfa0*d	alfa0*d	NOUN
ap-5399	324	46	/	/	SYM
ap-5399	324	47	l	l	NOUN
ap-5399	324	48	;	;	PUNCT
ap-5399	324	49	bid	bid	VERB
ap-5399	324	50	=	=	NOUN
ap-5399	324	51	alfad*d	alfad*d	NUM
ap-5399	324	52	/	/	SYM
ap-5399	324	53	l	l	NOUN
ap-5399	324	54	;	;	PUNCT
ap-5399	324	55	funt	funt	ADJ
ap-5399	324	56	=	=	SYM
ap-5399	324	57	@(s	@(s	NOUN
ap-5399	324	58	)	)	PUNCT
ap-5399	324	59	(	(	PUNCT
ap-5399	324	60	(	(	PUNCT
ap-5399	324	61	(	(	PUNCT
ap-5399	324	62	-q.*d./(s.*l	-q.*d./(s.*l	ADJ
ap-5399	324	63	)	)	PUNCT
ap-5399	324	64	)	)	PUNCT
ap-5399	324	65	.	.	PUNCT
ap-5399	325	1	*	*	PUNCT
ap-5399	325	2	(	(	PUNCT
ap-5399	325	3	sqrt(s	sqrt(s	PROPN
ap-5399	325	4	)	)	PUNCT
ap-5399	325	5	.	.	PUNCT
ap-5399	326	1	*	*	PUNCT
ap-5399	326	2	sinh(sqrt(s))+bid	sinh(sqrt(s))+bid	NOUN
ap-5399	326	3	.	.	PUNCT
ap-5399	327	1	*	*	PUNCT
ap-5399	327	2	cosh(sqrt(s	cosh(sqrt(s	PROPN
ap-5399	327	3	)	)	PUNCT
ap-5399	327	4	)	)	PUNCT
ap-5399	327	5	)	)	PUNCT
ap-5399	327	6	)	)	PUNCT
ap-5399	327	7	...	...	PUNCT
ap-5399	328	1	c1deta	c1deta	VERB
ap-5399	328	2	/	/	SYM
ap-5399	328	3	(	(	PUNCT
ap-5399	328	4	sqrt(s	sqrt(s	PROPN
ap-5399	328	5	)	)	PUNCT
ap-5399	328	6	.	.	PUNCT
ap-5399	329	1	*	*	PUNCT
ap-5399	329	2	(	(	PUNCT
ap-5399	329	3	sqrt(s	sqrt(s	PROPN
ap-5399	329	4	)	)	PUNCT
ap-5399	329	5	.	.	PUNCT
ap-5399	330	1	*	*	PUNCT
ap-5399	330	2	sinh(sqrt(s))+bid	sinh(sqrt(s))+bid	NOUN
ap-5399	330	3	.	.	PUNCT
ap-5399	331	1	*	*	PUNCT
ap-5399	331	2	cosh(sqrt(s)))-bi0	cosh(sqrt(s)))-bi0	INTJ
ap-5399	331	3	.	.	PUNCT
ap-5399	332	1	*	*	PUNCT
ap-5399	332	2	(	(	PUNCT
ap-5399	332	3	sqrt(s	sqrt(s	PROPN
ap-5399	332	4	)	)	PUNCT
ap-5399	332	5	.	.	PUNCT
ap-5399	333	1	*	*	PUNCT
ap-5399	333	2	cosh(sqrt(s))+bid	cosh(sqrt(s))+bid	PROPN
ap-5399	333	3	.	.	PUNCT
ap-5399	334	1	*	*	PUNCT
ap-5399	334	2	sinh(sqrt(s	sinh(sqrt(s	PROPN
ap-5399	334	3	)	)	PUNCT
ap-5399	334	4	)	)	PUNCT
ap-5399	334	5	)	)	PUNCT
ap-5399	334	6	)	)	PUNCT
ap-5399	334	7	)	)	PUNCT
ap-5399	334	8	...	...	PUNCT
ap-5399	335	1	/deta	/deta	PUNCT
ap-5399	335	2	*	*	PUNCT
ap-5399	335	3	sinh(zstar*sqrt(s	sinh(zstar*sqrt(s	X
ap-5399	335	4	)	)	PUNCT
ap-5399	335	5	)	)	PUNCT
ap-5399	336	1	+	+	CCONJ
ap-5399	336	2	...	...	PUNCT
ap-5399	336	3	(	(	PUNCT
ap-5399	336	4	(	(	PUNCT
ap-5399	336	5	(	(	PUNCT
ap-5399	336	6	q.*d./(s.*l	q.*d./(s.*l	NOUN
ap-5399	336	7	)	)	PUNCT
ap-5399	336	8	)	)	PUNCT
ap-5399	336	9	.	.	PUNCT
ap-5399	337	1	*	*	PUNCT
ap-5399	337	2	(	(	PUNCT
ap-5399	337	3	sqrt(s	sqrt(s	PROPN
ap-5399	337	4	)	)	PUNCT
ap-5399	337	5	.	.	PUNCT
ap-5399	338	1	*	*	PUNCT
ap-5399	338	2	cosh(sqrt(s))+bid	cosh(sqrt(s))+bid	PROPN
ap-5399	338	3	.	.	PUNCT
ap-5399	339	1	*	*	PUNCT
ap-5399	339	2	sinh(sqrt(s	sinh(sqrt(s	PROPN
ap-5399	339	3	)	)	PUNCT
ap-5399	339	4	)	)	PUNCT
ap-5399	339	5	)	)	PUNCT
ap-5399	339	6	)	)	PUNCT
ap-5399	339	7	...	...	PUNCT
ap-5399	340	1	c2deta	c2deta	NOUN
ap-5399	340	2	/	/	SYM
ap-5399	340	3	(	(	PUNCT
ap-5399	340	4	sqrt(s	sqrt(s	PROPN
ap-5399	340	5	)	)	PUNCT
ap-5399	340	6	.	.	PUNCT
ap-5399	341	1	*	*	PUNCT
ap-5399	341	2	(	(	PUNCT
ap-5399	341	3	sqrt(s	sqrt(s	PROPN
ap-5399	341	4	)	)	PUNCT
ap-5399	341	5	.	.	PUNCT
ap-5399	342	1	*	*	PUNCT
ap-5399	342	2	sinh(sqrt(s))+bid	sinh(sqrt(s))+bid	NOUN
ap-5399	342	3	.	.	PUNCT
ap-5399	343	1	*	*	PUNCT
ap-5399	343	2	cosh(sqrt(s)))-bi0	cosh(sqrt(s)))-bi0	INTJ
ap-5399	343	3	.	.	PUNCT
ap-5399	344	1	*	*	PUNCT
ap-5399	344	2	(	(	PUNCT
ap-5399	344	3	sqrt(s	sqrt(s	PROPN
ap-5399	344	4	)	)	PUNCT
ap-5399	344	5	.	.	PUNCT
ap-5399	345	1	*	*	PUNCT
ap-5399	345	2	cosh(sqrt(s))+bid	cosh(sqrt(s))+bid	PROPN
ap-5399	345	3	.	.	PUNCT
ap-5399	346	1	*	*	PUNCT
ap-5399	346	2	sinh(sqrt(s	sinh(sqrt(s	PROPN
ap-5399	346	3	)	)	PUNCT
ap-5399	346	4	)	)	PUNCT
ap-5399	346	5	)	)	PUNCT
ap-5399	346	6	)	)	PUNCT
ap-5399	346	7	)	)	PUNCT
ap-5399	346	8	...	...	PUNCT
ap-5399	347	1	/deta	/deta	PUNCT
ap-5399	347	2	*	*	PUNCT
ap-5399	347	3	cosh(zstar*sqrt(s	cosh(zstar*sqrt(s	X
ap-5399	347	4	)	)	PUNCT
ap-5399	347	5	)	)	PUNCT
ap-5399	348	1	;	;	PUNCT
ap-5399	348	2	t	t	X
ap-5399	348	3	=	=	SYM
ap-5399	348	4	linspace	linspace	NOUN
ap-5399	348	5	(	(	PUNCT
ap-5399	348	6	0	0	NUM
ap-5399	348	7	,	,	PUNCT
ap-5399	348	8	100	100	NUM
ap-5399	348	9	,	,	PUNCT
ap-5399	348	10	200	200	NUM
ap-5399	348	11	)	)	PUNCT
ap-5399	348	12	;	;	PUNCT
ap-5399	348	13	time	time	NOUN
ap-5399	348	14	=	=	SYM
ap-5399	348	15	(	(	PUNCT
ap-5399	348	16	a*t)/(d^2	a*t)/(d^2	PROPN
ap-5399	348	17	)	)	PUNCT
ap-5399	348	18	;	;	PUNCT
ap-5399	348	19	result	result	NOUN
ap-5399	348	20	=	=	PUNCT
ap-5399	348	21	talbot_inversion	talbot_inversion	NOUN
ap-5399	348	22	(	(	PUNCT
ap-5399	348	23	funt	funt	ADJ
ap-5399	348	24	,	,	PUNCT
ap-5399	348	25	time	time	NOUN
ap-5399	348	26	,	,	PUNCT
ap-5399	348	27	64	64	NUM
ap-5399	348	28	)	)	PUNCT
ap-5399	348	29	;	;	PUNCT
ap-5399	348	30	matlab	matlab	PROPN
ap-5399	348	31	code	code	PROPN
ap-5399	348	32	for	for	ADP
ap-5399	348	33	numerical	numerical	ADJ
ap-5399	348	34	calculation	calculation	NOUN
ap-5399	348	35	of	of	ADP
ap-5399	348	36	the	the	DET
ap-5399	348	37	change	change	NOUN
ap-5399	348	38	of	of	ADP
ap-5399	348	39	temperature	temperature	NOUN
ap-5399	348	40	in	in	ADP
ap-5399	348	41	the	the	DET
ap-5399	348	42	wall	wall	NOUN
ap-5399	348	43	with	with	ADP
ap-5399	348	44	the	the	DET
ap-5399	348	45	help	help	NOUN
ap-5399	348	46	of	of	ADP
ap-5399	348	47	pdepe	pdepe	ADJ
ap-5399	348	48	function	function	NOUN
ap-5399	348	49	(	(	PUNCT
ap-5399	348	50	variable	variable	ADJ
ap-5399	348	51	definition	definition	NOUN
ap-5399	348	52	,	,	PUNCT
ap-5399	348	53	spatial	spatial	ADJ
ap-5399	348	54	and	and	CCONJ
ap-5399	348	55	time	time	NOUN
ap-5399	348	56	discretization	discretization	NOUN
ap-5399	348	57	,	,	PUNCT
ap-5399	348	58	numerical	numerical	ADJ
ap-5399	348	59	calculation	calculation	NOUN
ap-5399	348	60	)	)	PUNCT
ap-5399	348	61	.	.	PUNCT
ap-5399	349	1	the	the	DET
ap-5399	349	2	code	code	NOUN
ap-5399	349	3	is	be	AUX
ap-5399	349	4	also	also	ADV
ap-5399	349	5	supllemented	supllemente	VERB
ap-5399	349	6	with	with	ADP
ap-5399	349	7	additional	additional	ADJ
ap-5399	349	8	functions	function	NOUN
ap-5399	349	9	for	for	ADP
ap-5399	349	10	writing	write	VERB
ap-5399	349	11	a	a	DET
ap-5399	349	12	partial	partial	ADJ
ap-5399	349	13	differential	differential	NOUN
ap-5399	349	14	equation	equation	NOUN
ap-5399	349	15	(	(	PUNCT
ap-5399	349	16	pdefun	pdefun	NOUN
ap-5399	349	17	)	)	PUNCT
ap-5399	349	18	,	,	PUNCT
ap-5399	349	19	initial	initial	ADJ
ap-5399	349	20	condition	condition	NOUN
ap-5399	349	21	(	(	PUNCT
ap-5399	349	22	icfun	icfun	NOUN
ap-5399	349	23	)	)	PUNCT
ap-5399	349	24	and	and	CCONJ
ap-5399	349	25	boundary	boundary	ADJ
ap-5399	349	26	conditions	condition	NOUN
ap-5399	349	27	(	(	PUNCT
ap-5399	349	28	bcfun	bcfun	NOUN
ap-5399	349	29	)	)	PUNCT
ap-5399	349	30	.	.	PUNCT
ap-5399	350	1	clear	clear	ADJ
ap-5399	350	2	all	all	PRON
ap-5399	350	3	;	;	PUNCT
ap-5399	350	4	format	format	NOUN
ap-5399	350	5	compact	compact	NOUN
ap-5399	350	6	;	;	PUNCT
ap-5399	350	7	clc	clc	PROPN
ap-5399	350	8	;	;	PUNCT
ap-5399	350	9	global	global	ADJ
ap-5399	350	10	a	a	DET
ap-5399	350	11	lambda	lambda	ADJ
ap-5399	350	12	alpha	alpha	NOUN
ap-5399	350	13	alphad	alphad	VERB
ap-5399	350	14	q	q	PROPN
ap-5399	350	15	t	t	PROPN
ap-5399	350	16	=	=	SYM
ap-5399	350	17	linspace	linspace	NOUN
ap-5399	350	18	(	(	PUNCT
ap-5399	350	19	0	0	NUM
ap-5399	350	20	,	,	PUNCT
ap-5399	350	21	100	100	NUM
ap-5399	350	22	,	,	PUNCT
ap-5399	350	23	200	200	NUM
ap-5399	350	24	)	)	PUNCT
ap-5399	350	25	;	;	PUNCT
ap-5399	350	26	lambda	lambda	NOUN
ap-5399	350	27	=	=	SYM
ap-5399	350	28	15	15	NUM
ap-5399	350	29	;	;	PUNCT
ap-5399	350	30	a	a	DET
ap-5399	350	31	=	=	NOUN
ap-5399	350	32	15/(7900	15/(7900	NOUN
ap-5399	350	33	*	*	SYM
ap-5399	350	34	500	500	NUM
ap-5399	350	35	)	)	PUNCT
ap-5399	350	36	;	;	PUNCT
ap-5399	351	1	alpha	alpha	NOUN
ap-5399	351	2	=	=	NOUN
ap-5399	351	3	3	3	NUM
ap-5399	351	4	;	;	PUNCT
ap-5399	351	5	alphad	alphad	VERB
ap-5399	351	6	=	=	SYM
ap-5399	351	7	500	500	NUM
ap-5399	351	8	;	;	PUNCT
ap-5399	351	9	qave	qave	ADP
ap-5399	351	10	=	=	SYM
ap-5399	351	11	2000	2000	NUM
ap-5399	351	12	;	;	PUNCT
ap-5399	351	13	delta	delta	NOUN
ap-5399	351	14	=	=	NOUN
ap-5399	351	15	0.001	0.001	NUM
ap-5399	351	16	;	;	PUNCT
ap-5399	351	17	x	x	SYM
ap-5399	351	18	=	=	SYM
ap-5399	351	19	linspace	linspace	NOUN
ap-5399	351	20	(	(	PUNCT
ap-5399	351	21	0,delta	0,delta	NOUN
ap-5399	351	22	,	,	PUNCT
ap-5399	351	23	20	20	NUM
ap-5399	351	24	)	)	PUNCT
ap-5399	351	25	;	;	PUNCT
ap-5399	351	26	m	m	VERB
ap-5399	351	27	=	=	SYM
ap-5399	351	28	0	0	NUM
ap-5399	351	29	;	;	PUNCT
ap-5399	351	30	[	[	PUNCT
ap-5399	351	31	result	result	NOUN
ap-5399	351	32	]	]	X
ap-5399	351	33	=	=	SYM
ap-5399	351	34	pdepe(m,@	pdepe(m,@	ADJ
ap-5399	351	35	pdefun	pdefun	NOUN
ap-5399	351	36	,	,	PUNCT
ap-5399	351	37	@	@	ADP
ap-5399	351	38	icfun	icfun	NOUN
ap-5399	351	39	,	,	PUNCT
ap-5399	351	40	@	@	ADP
ap-5399	351	41	bcfun	bcfun	NOUN
ap-5399	351	42	,	,	PUNCT
ap-5399	351	43	x	x	X
ap-5399	351	44	,	,	PUNCT
ap-5399	351	45	t	t	PROPN
ap-5399	351	46	)	)	PUNCT
ap-5399	351	47	;	;	PUNCT
ap-5399	351	48	function	function	VERB
ap-5399	352	1	[	[	X
ap-5399	352	2	c	c	X
ap-5399	352	3	,	,	PUNCT
ap-5399	352	4	f	f	X
ap-5399	352	5	,	,	PUNCT
ap-5399	352	6	s]=	s]=	PROPN
ap-5399	352	7	pdefun	pdefun	NOUN
ap-5399	352	8	(	(	PUNCT
ap-5399	352	9	x	x	X
ap-5399	352	10	,	,	PUNCT
ap-5399	352	11	t	t	PROPN
ap-5399	352	12	,	,	PUNCT
ap-5399	352	13	u	u	NOUN
ap-5399	352	14	,	,	PUNCT
ap-5399	352	15	dudx	dudx	NOUN
ap-5399	352	16	)	)	PUNCT
ap-5399	352	17	global	global	NOUN
ap-5399	352	18	a	a	DET
ap-5399	352	19	c	c	NOUN
ap-5399	352	20	=	=	SYM
ap-5399	352	21	1	1	NUM
ap-5399	352	22	/	/	SYM
ap-5399	352	23	a	a	NOUN
ap-5399	352	24	;	;	PUNCT
ap-5399	352	25	f	f	X
ap-5399	352	26	=	=	PUNCT
ap-5399	352	27	dudx	dudx	VERB
ap-5399	352	28	;	;	PUNCT
ap-5399	352	29	s	s	X
ap-5399	352	30	=	=	SYM
ap-5399	352	31	0	0	NUM
ap-5399	352	32	;	;	PUNCT
ap-5399	352	33	end	end	NOUN
ap-5399	352	34	function	function	NOUN
ap-5399	352	35	u	u	PROPN
ap-5399	352	36	=	=	SYM
ap-5399	352	37	icfun(x	icfun(x	PROPN
ap-5399	352	38	)	)	PUNCT
ap-5399	352	39	u	u	NOUN
ap-5399	352	40	=	=	PROPN
ap-5399	352	41	0	0	NUM
ap-5399	352	42	;	;	PUNCT
ap-5399	352	43	end	end	NOUN
ap-5399	352	44	function	function	NOUN
ap-5399	352	45	[	[	X
ap-5399	352	46	pl	pl	X
ap-5399	352	47	,	,	PUNCT
ap-5399	352	48	ql	ql	X
ap-5399	352	49	,	,	PUNCT
ap-5399	352	50	pr	pr	NOUN
ap-5399	352	51	,	,	PUNCT
ap-5399	352	52	qr	qr	NOUN
ap-5399	352	53	]	]	X
ap-5399	352	54	=	=	SYM
ap-5399	352	55	bcfun(xl	bcfun(xl	PROPN
ap-5399	352	56	,	,	PUNCT
ap-5399	352	57	ul	ul	INTJ
ap-5399	352	58	,	,	PUNCT
ap-5399	352	59	xr	xr	PROPN
ap-5399	352	60	,	,	PUNCT
ap-5399	352	61	ur	ur	INTJ
ap-5399	352	62	,	,	PUNCT
ap-5399	352	63	t	t	PROPN
ap-5399	352	64	)	)	PUNCT
ap-5399	352	65	global	global	ADJ
ap-5399	352	66	a	a	DET
ap-5399	352	67	lambda	lambda	ADJ
ap-5399	352	68	alpha	alpha	NOUN
ap-5399	352	69	alphad	alphad	VERB
ap-5399	352	70	q	q	PROPN
ap-5399	352	71	pl	pl	PROPN
ap-5399	352	72	=	=	SYM
ap-5399	352	73	alpha*ul	alpha*ul	NOUN
ap-5399	352	74	;	;	PUNCT
ap-5399	352	75	ql	ql	CCONJ
ap-5399	352	76	=	=	SYM
ap-5399	352	77	lambda	lambda	NOUN
ap-5399	352	78	;	;	PUNCT
ap-5399	352	79	pr	pr	X
ap-5399	352	80	=	=	PUNCT
ap-5399	352	81	alphad	alphad	VERB
ap-5399	352	82	*	*	PUNCT
ap-5399	352	83	ur	ur	INTJ
ap-5399	353	1	+	+	NOUN
ap-5399	353	2	q	q	ADJ
ap-5399	353	3	qr	qr	NOUN
ap-5399	353	4	=	=	NOUN
ap-5399	353	5	lambda	lambda	NOUN
ap-5399	353	6	;	;	PUNCT
ap-5399	353	7	end	end	VERB
ap-5399	353	8	422	422	NUM
ap-5399	353	9	acta	acta	PROPN
ap-5399	353	10	polytechnica	polytechnica	PROPN
ap-5399	353	11	59(4):411–422	59(4):411–422	NUM
ap-5399	353	12	,	,	PUNCT
ap-5399	353	13	2019	2019	NUM
ap-5399	353	14	1	1	NUM
ap-5399	353	15	introduction	introduction	NOUN
ap-5399	353	16	2	2	NUM
ap-5399	353	17	definition	definition	NOUN
ap-5399	353	18	of	of	ADP
ap-5399	353	19	the	the	DET
ap-5399	353	20	problem	problem	NOUN
ap-5399	353	21	3	3	NUM
ap-5399	353	22	problem	problem	NOUN
ap-5399	353	23	solving	solve	VERB
ap-5399	353	24	3.1	3.1	NUM
ap-5399	353	25	general	general	ADJ
ap-5399	353	26	solution	solution	NOUN
ap-5399	353	27	3.2	3.2	NUM
ap-5399	353	28	transformation	transformation	NOUN
ap-5399	353	29	and	and	CCONJ
ap-5399	353	30	application	application	NOUN
ap-5399	353	31	of	of	ADP
ap-5399	353	32	boundary	boundary	ADJ
ap-5399	353	33	conditions	condition	NOUN
ap-5399	353	34	3.3	3.3	NUM
ap-5399	353	35	particular	particular	ADJ
ap-5399	353	36	solution	solution	NOUN
ap-5399	353	37	4	4	NUM
ap-5399	353	38	inverse	inverse	NOUN
ap-5399	353	39	laplace	laplace	NOUN
ap-5399	353	40	transformation	transformation	NOUN
ap-5399	353	41	5	5	NUM
ap-5399	353	42	numerical	numerical	ADJ
ap-5399	353	43	solution	solution	NOUN
ap-5399	353	44	of	of	ADP
ap-5399	353	45	the	the	DET
ap-5399	353	46	problem	problem	NOUN
ap-5399	353	47	6	6	NUM
ap-5399	353	48	discussion	discussion	NOUN
ap-5399	353	49	7	7	NUM
ap-5399	353	50	idea	idea	NOUN
ap-5399	353	51	of	of	ADP
ap-5399	353	52	experimental	experimental	ADJ
ap-5399	353	53	measurements	measurement	NOUN
ap-5399	353	54	8	8	NUM
ap-5399	353	55	conclusions	conclusion	NOUN
ap-5399	353	56	list	list	NOUN
ap-5399	353	57	of	of	ADP
ap-5399	353	58	symbols	symbol	NOUN
ap-5399	353	59	acknowledgements	acknowledgement	NOUN
ap-5399	353	60	references	reference	NOUN
ap-5399	353	61	9	9	NUM
ap-5399	353	62	appendix	appendix	NOUN