id	sid	tid	token	lemma	pos
hjic-1077	1	1	hungarian	hungarian	ADJ
hjic-1077	1	2	journal	journal	NOUN
hjic-1077	1	3	of	of	ADP
hjic-1077	1	4	industrial	industrial	ADJ
hjic-1077	1	5	chemistry	chemistry	NOUN
hjic-1077	1	6	veszprem	veszprem	PROPN
hjic-1077	1	7	vol	vol	NOUN
hjic-1077	1	8	.	.	PROPN
hjic-1077	2	1	29	29	NUM
hjic-1077	2	2	.	.	PUNCT
hjic-1077	3	1	pp	pp	ADJ
hjic-1077	3	2	.	.	PUNCT
hjic-1077	4	1	91	91	NUM
hjic-1077	4	2	94	94	NUM
hjic-1077	4	3	(	(	PUNCT
hjic-1077	4	4	2001	2001	NUM
hjic-1077	4	5	)	)	PUNCT
hjic-1077	4	6	approximate	approximate	ADJ
hjic-1077	4	7	models	model	NOUN
hjic-1077	4	8	application	application	NOUN
hjic-1077	4	9	for	for	ADP
hjic-1077	4	10	modelling	modelling	NOUN
hjic-1077	4	11	of	of	ADP
hjic-1077	4	12	fixed	fix	VERB
hjic-1077	4	13	bed	bed	NOUN
hjic-1077	4	14	reactors	reactor	NOUN
hjic-1077	4	15	m.	m.	NOUN
hjic-1077	4	16	szukiewicz	szukiewicz	PROPN
hjic-1077	4	17	and	and	CCONJ
hjic-1077	4	18	r.	r.	PROPN
hjic-1077	4	19	petrus	petrus	PROPN
hjic-1077	4	20	(	(	PUNCT
hjic-1077	4	21	department	department	PROPN
hjic-1077	4	22	of	of	ADP
hjic-1077	4	23	chemical	chemical	PROPN
hjic-1077	4	24	engineering	engineering	NOUN
hjic-1077	4	25	and	and	CCONJ
hjic-1077	4	26	process	process	NOUN
hjic-1077	4	27	control	control	NOUN
hjic-1077	4	28	,	,	PUNCT
hjic-1077	4	29	rzesz6w	rzesz6w	PROPN
hjic-1077	4	30	university	university	NOUN
hjic-1077	4	31	of	of	ADP
hjic-1077	4	32	technology	technology	PROPN
hjic-1077	4	33	,	,	PUNCT
hjic-1077	4	34	al	al	PROPN
hjic-1077	4	35	.	.	PUNCT
hjic-1077	5	1	powstafic6w	powstafic6w	PROPN
hjic-1077	5	2	warszawy	warszawy	VERB
hjic-1077	5	3	6	6	NUM
hjic-1077	5	4	,	,	PUNCT
hjic-1077	5	5	35	35	NUM
hjic-1077	5	6	-	-	SYM
hjic-1077	5	7	959	959	NUM
hjic-1077	5	8	rzesz6w	rzesz6w	NOUN
hjic-1077	5	9	,	,	PUNCT
hjic-1077	5	10	poland	poland	PROPN
hjic-1077	5	11	)	)	PUNCT
hjic-1077	5	12	received	receive	VERB
hjic-1077	5	13	:	:	PUNCT
hjic-1077	5	14	july	july	PROPN
hjic-1077	5	15	7	7	NUM
hjic-1077	5	16	,	,	PUNCT
hjic-1077	5	17	2000	2000	NUM
hjic-1077	5	18	;	;	PUNCT
hjic-1077	5	19	revised	revise	VERB
hjic-1077	5	20	:	:	PUNCT
hjic-1077	5	21	january	january	PROPN
hjic-1077	5	22	17,2001	17,2001	NUM
hjic-1077	5	23	the	the	DET
hjic-1077	5	24	approximate	approximate	ADJ
hjic-1077	5	25	linear	linear	PROPN
hjic-1077	5	26	driving	driving	NOUN
hjic-1077	5	27	-	-	PUNCT
hjic-1077	5	28	force	force	NOUN
hjic-1077	5	29	model	model	NOUN
hjic-1077	5	30	which	which	PRON
hjic-1077	5	31	is	be	AUX
hjic-1077	5	32	typical	typical	ADJ
hjic-1077	5	33	and	and	CCONJ
hjic-1077	5	34	commonly	commonly	ADV
hjic-1077	5	35	used	use	VERB
hjic-1077	5	36	for	for	ADP
hjic-1077	5	37	diffusion	diffusion	NOUN
hjic-1077	5	38	processes	process	NOUN
hjic-1077	5	39	,	,	PUNCT
hjic-1077	5	40	fails	fail	VERB
hjic-1077	5	41	in	in	ADP
hjic-1077	5	42	the	the	DET
hjic-1077	5	43	case	case	NOUN
hjic-1077	5	44	of	of	ADP
hjic-1077	5	45	diffusion	diffusion	NOUN
hjic-1077	5	46	with	with	ADP
hjic-1077	5	47	reaction	reaction	NOUN
hjic-1077	5	48	processes	process	NOUN
hjic-1077	5	49	(	(	PUNCT
hjic-1077	5	50	e.g.	e.g.	ADV
hjic-1077	5	51	heterogeneous	heterogeneous	ADJ
hjic-1077	5	52	catalysis	catalysis	NOUN
hjic-1077	5	53	)	)	PUNCT
hjic-1077	5	54	.	.	PUNCT
hjic-1077	6	1	this	this	PRON
hjic-1077	6	2	results	result	VERB
hjic-1077	6	3	from	from	ADP
hjic-1077	6	4	the	the	DET
hjic-1077	6	5	rapidity	rapidity	NOUN
hjic-1077	6	6	of	of	ADP
hjic-1077	6	7	the	the	DET
hjic-1077	6	8	mass	mass	NOUN
hjic-1077	6	9	transfer	transfer	NOUN
hjic-1077	6	10	for	for	ADP
hjic-1077	6	11	processes	process	NOUN
hjic-1077	6	12	with	with	ADP
hjic-1077	6	13	chemical	chemical	ADJ
hjic-1077	6	14	reaction	reaction	NOUN
hjic-1077	6	15	.	.	PUNCT
hjic-1077	7	1	a	a	DET
hjic-1077	7	2	method	method	NOUN
hjic-1077	7	3	based	base	VERB
hjic-1077	7	4	on	on	ADP
hjic-1077	7	5	a	a	DET
hjic-1077	7	6	solution	solution	NOUN
hjic-1077	7	7	for	for	ADP
hjic-1077	7	8	a	a	DET
hjic-1077	7	9	single	single	ADJ
hjic-1077	7	10	catalyst	catalyst	NOUN
hjic-1077	7	11	pellet	pellet	NOUN
hjic-1077	7	12	has	have	AUX
hjic-1077	7	13	been	be	AUX
hjic-1077	7	14	used	use	VERB
hjic-1077	7	15	to	to	PART
hjic-1077	7	16	evaluate	evaluate	VERB
hjic-1077	7	17	coefficients	coefficient	NOUN
hjic-1077	7	18	of	of	ADP
hjic-1077	7	19	the	the	DET
hjic-1077	7	20	mentioned	mention	VERB
hjic-1077	7	21	approximate	approximate	ADJ
hjic-1077	7	22	formula	formula	NOUN
hjic-1077	7	23	.	.	PUNCT
hjic-1077	8	1	the	the	DET
hjic-1077	8	2	application	application	NOUN
hjic-1077	8	3	of	of	ADP
hjic-1077	8	4	this	this	DET
hjic-1077	8	5	formula	formula	NOUN
hjic-1077	8	6	for	for	ADP
hjic-1077	8	7	modeling	modeling	NOUN
hjic-1077	8	8	of	of	ADP
hjic-1077	8	9	an	an	DET
hjic-1077	8	10	isothermal	isothermal	ADJ
hjic-1077	8	11	fixed­	fixed­	PROPN
hjic-1077	8	12	bed	bed	NOUN
hjic-1077	8	13	reactor	reactor	NOUN
hjic-1077	8	14	with	with	ADP
hjic-1077	8	15	non	non	ADJ
hjic-1077	8	16	-	-	ADJ
hjic-1077	8	17	linear	linear	ADJ
hjic-1077	8	18	kinetic	kinetic	ADJ
hjic-1077	8	19	rate	rate	NOUN
hjic-1077	8	20	is	be	AUX
hjic-1077	8	21	presented	present	VERB
hjic-1077	8	22	.	.	PUNCT
hjic-1077	9	1	accuracy	accuracy	NOUN
hjic-1077	9	2	of	of	ADP
hjic-1077	9	3	the	the	DET
hjic-1077	9	4	proposed	propose	VERB
hjic-1077	9	5	model	model	NOUN
hjic-1077	9	6	is	be	AUX
hjic-1077	9	7	very	very	ADV
hjic-1077	9	8	good	good	ADJ
hjic-1077	9	9	.	.	PUNCT
hjic-1077	10	1	the	the	DET
hjic-1077	10	2	error	error	NOUN
hjic-1077	10	3	does	do	AUX
hjic-1077	10	4	not	not	PART
hjic-1077	10	5	exceed	exceed	VERB
hjic-1077	10	6	0.02	0.02	NUM
hjic-1077	10	7	for	for	ADP
hjic-1077	10	8	the	the	DET
hjic-1077	10	9	steady	steady	ADJ
hjic-1077	10	10	state	state	NOUN
hjic-1077	10	11	.	.	PUNCT
hjic-1077	11	1	introduction	introduction	NOUN
hjic-1077	11	2	fixed	fix	VERB
hjic-1077	11	3	bed	bed	NOUN
hjic-1077	11	4	reactors	reactor	NOUN
hjic-1077	11	5	are	be	AUX
hjic-1077	11	6	commonly	commonly	ADV
hjic-1077	11	7	used	use	VERB
hjic-1077	11	8	in	in	ADP
hjic-1077	11	9	industrial	industrial	ADJ
hjic-1077	11	10	practice	practice	NOUN
hjic-1077	11	11	for	for	ADP
hjic-1077	11	12	heterogeneous	heterogeneous	ADJ
hjic-1077	11	13	catalysis	catalysis	NOUN
hjic-1077	11	14	processes	process	NOUN
hjic-1077	11	15	.	.	PUNCT
hjic-1077	12	1	there	there	PRON
hjic-1077	12	2	are	be	VERB
hjic-1077	12	3	two	two	NUM
hjic-1077	12	4	groups	group	NOUN
hjic-1077	12	5	of	of	ADP
hjic-1077	12	6	models	model	NOUN
hjic-1077	12	7	applied	apply	VERB
hjic-1077	12	8	in	in	ADP
hjic-1077	12	9	modeling	modeling	NOUN
hjic-1077	12	10	of	of	ADP
hjic-1077	12	11	such	such	ADJ
hjic-1077	12	12	type	type	NOUN
hjic-1077	12	13	of	of	ADP
hjic-1077	12	14	apparatus	apparatus	NOUN
hjic-1077	12	15	.	.	PUNCT
hjic-1077	13	1	(	(	PUNCT
hjic-1077	13	2	i	i	NOUN
hjic-1077	13	3	)	)	PUNCT
hjic-1077	13	4	pseudohomogeneous	pseudohomogeneous	ADJ
hjic-1077	13	5	models	model	NOUN
hjic-1077	13	6	,	,	PUNCT
hjic-1077	13	7	which	which	PRON
hjic-1077	13	8	assume	assume	VERB
hjic-1077	13	9	the	the	DET
hjic-1077	13	10	same	same	ADJ
hjic-1077	13	11	temperature	temperature	NOUN
hjic-1077	13	12	and	and	CCONJ
hjic-1077	13	13	component	component	NOUN
hjic-1077	13	14	concentrations	concentration	NOUN
hjic-1077	13	15	in	in	ADP
hjic-1077	13	16	the	the	DET
hjic-1077	13	17	fluid	fluid	ADJ
hjic-1077	13	18	bulk	bulk	NOUN
hjic-1077	13	19	and	and	CCONJ
hjic-1077	13	20	catalyst	catalyst	NOUN
hjic-1077	13	21	particles	particle	NOUN
hjic-1077	13	22	.	.	PUNCT
hjic-1077	14	1	due	due	ADP
hjic-1077	14	2	to	to	ADP
hjic-1077	14	3	this	this	DET
hjic-1077	14	4	assumption	assumption	NOUN
hjic-1077	14	5	the	the	DET
hjic-1077	14	6	model	model	NOUN
hjic-1077	14	7	is	be	AUX
hjic-1077	14	8	described	describe	VERB
hjic-1077	14	9	by	by	ADP
hjic-1077	14	10	partial	partial	ADJ
hjic-1077	14	11	differential	differential	ADJ
hjic-1077	14	12	equations	equation	NOUN
hjic-1077	14	13	(	(	PUNCT
hjic-1077	14	14	pde	pde	NOUN
hjic-1077	14	15	)	)	PUNCT
hjic-1077	14	16	only	only	ADV
hjic-1077	14	17	for	for	ADP
hjic-1077	14	18	fluid	fluid	ADJ
hjic-1077	14	19	phase	phase	NOUN
hjic-1077	14	20	.	.	PUNCT
hjic-1077	15	1	pseudohomogeneous	pseudohomogeneous	ADJ
hjic-1077	15	2	models	model	NOUN
hjic-1077	15	3	,	,	PUNCT
hjic-1077	15	4	despite	despite	SCONJ
hjic-1077	15	5	of	of	ADP
hjic-1077	15	6	their	their	PRON
hjic-1077	15	7	low	low	ADJ
hjic-1077	15	8	accuracy	accuracy	NOUN
hjic-1077	15	9	in	in	ADP
hjic-1077	15	10	most	most	ADJ
hjic-1077	15	11	cases	case	NOUN
hjic-1077	15	12	,	,	PUNCT
hjic-1077	15	13	are	be	AUX
hjic-1077	15	14	relatively	relatively	ADV
hjic-1077	15	15	easy	easy	ADJ
hjic-1077	15	16	to	to	PART
hjic-1077	15	17	solve	solve	VERB
hjic-1077	15	18	and	and	CCONJ
hjic-1077	15	19	they	they	PRON
hjic-1077	15	20	are	be	AUX
hjic-1077	15	21	willingly	willingly	ADV
hjic-1077	15	22	used	use	VERB
hjic-1077	15	23	for	for	ADP
hjic-1077	15	24	description	description	NOUN
hjic-1077	15	25	of	of	ADP
hjic-1077	15	26	reactors	reactor	NOUN
hjic-1077	15	27	.	.	PUNCT
hjic-1077	16	1	(	(	PUNCT
hjic-1077	16	2	ii	ii	NOUN
hjic-1077	16	3	)	)	PUNCT
hjic-1077	16	4	heterogeneous	heterogeneous	ADJ
hjic-1077	16	5	models	model	NOUN
hjic-1077	16	6	,	,	PUNCT
hjic-1077	16	7	in	in	ADP
hjic-1077	16	8	contrast	contrast	NOUN
hjic-1077	16	9	to	to	ADP
hjic-1077	16	10	pseudo­	pseudo­	PROPN
hjic-1077	16	11	homogeneous	homogeneous	ADJ
hjic-1077	16	12	ones	one	NOUN
hjic-1077	16	13	,	,	PUNCT
hjic-1077	16	14	give	give	VERB
hjic-1077	16	15	results	result	NOUN
hjic-1077	16	16	with	with	ADP
hjic-1077	16	17	quite	quite	ADV
hjic-1077	16	18	good	good	ADJ
hjic-1077	16	19	accuracy	accuracy	NOUN
hjic-1077	16	20	.	.	PUNCT
hjic-1077	17	1	they	they	PRON
hjic-1077	17	2	are	be	AUX
hjic-1077	17	3	described	describe	VERB
hjic-1077	17	4	by	by	ADP
hjic-1077	17	5	pde	pde	NOUN
hjic-1077	17	6	both	both	PRON
hjic-1077	17	7	for	for	ADP
hjic-1077	17	8	fluid	fluid	NOUN
hjic-1077	17	9	and	and	CCONJ
hjic-1077	17	10	for	for	ADP
hjic-1077	17	11	catalyst	catalyst	NOUN
hjic-1077	17	12	pellet	pellet	NOUN
hjic-1077	17	13	but	but	CCONJ
hjic-1077	17	14	their	their	PRON
hjic-1077	17	15	solution	solution	NOUN
hjic-1077	17	16	is	be	AUX
hjic-1077	17	17	difficult	difficult	ADJ
hjic-1077	17	18	to	to	PART
hjic-1077	17	19	obtain	obtain	VERB
hjic-1077	17	20	.	.	PUNCT
hjic-1077	18	1	the	the	DET
hjic-1077	18	2	widely	widely	ADV
hjic-1077	18	3	reported	report	VERB
hjic-1077	18	4	way	way	NOUN
hjic-1077	18	5	to	to	PART
hjic-1077	18	6	avoid	avoid	VERB
hjic-1077	18	7	this	this	DET
hjic-1077	18	8	drawback	drawback	NOUN
hjic-1077	18	9	is	be	AUX
hjic-1077	18	10	to	to	PART
hjic-1077	18	11	use	use	VERB
hjic-1077	18	12	an	an	DET
hjic-1077	18	13	effectiveness	effectiveness	NOUN
hjic-1077	18	14	factor	factor	NOUN
hjic-1077	18	15	concept	concept	NOUN
hjic-1077	18	16	.	.	PUNCT
hjic-1077	19	1	it	it	PRON
hjic-1077	19	2	reduces	reduce	VERB
hjic-1077	19	3	the	the	DET
hjic-1077	19	4	equations	equation	NOUN
hjic-1077	19	5	set	set	VERB
hjic-1077	19	6	of	of	ADP
hjic-1077	19	7	the	the	DET
hjic-1077	19	8	heterogeneous	heterogeneous	ADJ
hjic-1077	19	9	model	model	NOUN
hjic-1077	19	10	and	and	CCONJ
hjic-1077	19	11	makes	make	VERB
hjic-1077	19	12	the	the	DET
hjic-1077	19	13	solution	solution	NOUN
hjic-1077	19	14	much	much	ADV
hjic-1077	19	15	easier	easy	ADJ
hjic-1077	19	16	to	to	PART
hjic-1077	19	17	obtain	obtain	VERB
hjic-1077	19	18	.	.	PUNCT
hjic-1077	20	1	unfortunately	unfortunately	ADV
hjic-1077	20	2	,	,	PUNCT
hjic-1077	20	3	for	for	ADP
hjic-1077	20	4	most	most	ADJ
hjic-1077	20	5	cases	case	NOUN
hjic-1077	20	6	,	,	PUNCT
hjic-1077	20	7	finding	find	VERB
hjic-1077	20	8	the	the	DET
hjic-1077	20	9	proper	proper	ADJ
hjic-1077	20	10	value	value	NOUN
hjic-1077	20	11	of	of	ADP
hjic-1077	20	12	the	the	DET
hjic-1077	20	13	mentioned	mention	VERB
hjic-1077	20	14	factor	factor	NOUN
hjic-1077	20	15	is	be	AUX
hjic-1077	20	16	difficult	difficult	ADJ
hjic-1077	20	17	and/or	and/or	CCONJ
hjic-1077	20	18	lengthy	lengthy	ADJ
hjic-1077	20	19	that	that	PRON
hjic-1077	20	20	limits	limit	VERB
hjic-1077	20	21	its	its	PRON
hjic-1077	20	22	application	application	NOUN
hjic-1077	20	23	.	.	PUNCT
hjic-1077	21	1	there	there	PRON
hjic-1077	21	2	is	be	VERB
hjic-1077	21	3	another	another	DET
hjic-1077	21	4	way	way	NOUN
hjic-1077	21	5	for	for	ADP
hjic-1077	21	6	simplification	simplification	NOUN
hjic-1077	21	7	of	of	ADP
hjic-1077	21	8	mathematical	mathematical	ADJ
hjic-1077	21	9	modeling	modeling	NOUN
hjic-1077	21	10	,	,	PUNCT
hjic-1077	21	11	which	which	PRON
hjic-1077	21	12	is	be	AUX
hjic-1077	21	13	widely	widely	ADV
hjic-1077	21	14	reported	report	VERB
hjic-1077	21	15	for	for	ADP
hjic-1077	21	16	diffusion	diffusion	NOUN
hjic-1077	21	17	and	and	CCONJ
hjic-1077	21	18	adsorption	adsorption	NOUN
hjic-1077	21	19	processes	process	NOUN
hjic-1077	21	20	.	.	PUNCT
hjic-1077	22	1	in	in	ADP
hjic-1077	22	2	this	this	DET
hjic-1077	22	3	approach	approach	NOUN
hjic-1077	22	4	pde	pde	NOUN
hjic-1077	22	5	for	for	ADP
hjic-1077	22	6	mass	mass	ADJ
hjic-1077	22	7	balance	balance	NOUN
hjic-1077	22	8	in	in	ADP
hjic-1077	22	9	a	a	DET
hjic-1077	22	10	pellet	pellet	NOUN
hjic-1077	22	11	is	be	AUX
hjic-1077	22	12	replaced	replace	VERB
hjic-1077	22	13	by	by	ADP
hjic-1077	22	14	a	a	DET
hjic-1077	22	15	proper	proper	ADJ
hjic-1077	22	16	ordinary	ordinary	ADJ
hjic-1077	22	17	differential	differential	ADJ
hjic-1077	22	18	equation	equation	NOUN
hjic-1077	22	19	(	(	PUNCT
hjic-1077	22	20	ode	ode	PROPN
hjic-1077	22	21	)	)	PUNCT
hjic-1077	22	22	~	~	PUNCT
hjic-1077	22	23	so	so	ADV
hjic-1077	22	24	-	-	PUNCT
hjic-1077	22	25	called	call	VERB
hjic-1077	22	26	.,approximate	.,approximate	PROPN
hjic-1077	22	27	model	model	PROPN
hjic-1077	22	28	"	"	PUNCT
hjic-1077	22	29	that	that	PRON
hjic-1077	22	30	simplifies	simplify	VERB
hjic-1077	22	31	greatly	greatly	ADV
hjic-1077	22	32	the	the	DET
hjic-1077	22	33	model	model	NOUN
hjic-1077	22	34	solution	solution	NOUN
hjic-1077	22	35	at	at	ADP
hjic-1077	22	36	the	the	DET
hjic-1077	22	37	same	same	ADJ
hjic-1077	22	38	or	or	CCONJ
hjic-1077	22	39	only	only	ADV
hjic-1077	22	40	slightly	slightly	ADV
hjic-1077	22	41	worse	bad	ADJ
hjic-1077	22	42	accura(:y	accura(:y	ADJ
hjic-1077	22	43	.	.	PUNCT
hjic-1077	23	1	for	for	ADP
hjic-1077	23	2	description	description	NOUN
hjic-1077	23	3	of	of	ADP
hjic-1077	23	4	diffusion	diffusion	NOUN
hjic-1077	23	5	and	and	CCONJ
hjic-1077	23	6	reaction	reaction	NOUN
hjic-1077	23	7	processes	process	VERB
hjic-1077	23	8	a	a	DET
hjic-1077	23	9	small	small	ADJ
hjic-1077	23	10	number	number	NOUN
hjic-1077	23	11	of	of	ADP
hjic-1077	23	12	equations	equation	NOUN
hjic-1077	23	13	that	that	PRON
hjic-1077	23	14	approximate	approximate	VERB
hjic-1077	23	15	a	a	DET
hjic-1077	23	16	mass	mass	ADJ
hjic-1077	23	17	balance	balance	NOUN
hjic-1077	23	18	in	in	ADP
hjic-1077	23	19	the	the	DET
hjic-1077	23	20	porous	porous	ADJ
hjic-1077	23	21	particle	particle	NOUN
hjic-1077	23	22	has	have	AUX
hjic-1077	23	23	been	be	AUX
hjic-1077	23	24	found	find	VERB
hjic-1077	23	25	in	in	ADP
hjic-1077	23	26	literature	literature	NOUN
hjic-1077	23	27	.	.	PUNCT
hjic-1077	24	1	kim	kim	PROPN
hjic-1077	25	1	[	[	X
hjic-1077	25	2	1	1	NUM
hjic-1077	25	3	]	]	PUNCT
hjic-1077	25	4	has	have	AUX
hjic-1077	25	5	proposed	propose	VERB
hjic-1077	25	6	linear	linear	PROPN
hjic-1077	25	7	driving	driving	NOUN
hjic-1077	25	8	force	force	NOUN
hjic-1077	25	9	approximation	approximation	NOUN
hjic-1077	25	10	model	model	NOUN
hjic-1077	25	11	that	that	PRON
hjic-1077	25	12	characterises	characterise	VERB
hjic-1077	25	13	good	good	ADJ
hjic-1077	25	14	accuracy	accuracy	NOUN
hjic-1077	25	15	but	but	CCONJ
hjic-1077	25	16	also	also	ADV
hjic-1077	25	17	complexity	complexity	NOUN
hjic-1077	25	18	of	of	ADP
hjic-1077	25	19	derived	derive	VERB
hjic-1077	25	20	formula	formula	NOUN
hjic-1077	25	21	.	.	PUNCT
hjic-1077	26	1	moreover	moreover	ADV
hjic-1077	26	2	the	the	DET
hjic-1077	26	3	individual	individual	ADJ
hjic-1077	26	4	terms	term	NOUN
hjic-1077	26	5	of	of	ADP
hjic-1077	26	6	the	the	DET
hjic-1077	26	7	model	model	NOUN
hjic-1077	26	8	accumulation	accumulation	NOUN
hjic-1077	26	9	,	,	PUNCT
hjic-1077	26	10	rate	rate	NOUN
hjic-1077	26	11	of	of	ADP
hjic-1077	26	12	mass	mass	ADJ
hjic-1077	26	13	transfer	transfer	NOUN
hjic-1077	26	14	and	and	CCONJ
hjic-1077	26	15	reaction	reaction	NOUN
hjic-1077	26	16	rate	rate	NOUN
hjic-1077	26	17	have	have	VERB
hjic-1077	26	18	no	no	ADV
hjic-1077	26	19	longer	long	ADV
hjic-1077	26	20	their	their	PRON
hjic-1077	26	21	physical	physical	ADJ
hjic-1077	26	22	meaning	meaning	NOUN
hjic-1077	26	23	.	.	PUNCT
hjic-1077	27	1	goto	goto	NOUN
hjic-1077	27	2	and	and	CCONJ
hjic-1077	27	3	hirose	hirose	NOUN
hjic-1077	28	1	[	[	X
hjic-1077	28	2	2	2	NUM
hjic-1077	28	3	]	]	PUNCT
hjic-1077	28	4	,	,	PUNCT
hjic-1077	28	5	have	have	AUX
hjic-1077	28	6	presented	present	VERB
hjic-1077	28	7	a	a	DET
hjic-1077	28	8	number	number	NOUN
hjic-1077	28	9	of	of	ADP
hjic-1077	28	10	approximate	approximate	ADJ
hjic-1077	28	11	models	model	NOUN
hjic-1077	28	12	,	,	PUNCT
hjic-1077	28	13	but	but	CCONJ
hjic-1077	28	14	their	their	PRON
hjic-1077	28	15	accuracy	accuracy	NOUN
hjic-1077	28	16	for	for	ADP
hjic-1077	28	17	diffusion	diffusion	NOUN
hjic-1077	28	18	and	and	CCONJ
hjic-1077	28	19	reaction	reaction	NOUN
hjic-1077	28	20	processes	process	NOUN
hjic-1077	28	21	are	be	AUX
hjic-1077	28	22	unsatisfactory	unsatisfactory	ADJ
hjic-1077	28	23	for	for	ADP
hjic-1077	28	24	a	a	DET
hjic-1077	28	25	wide	wide	ADJ
hjic-1077	28	26	range	range	NOUN
hjic-1077	28	27	of	of	ADP
hjic-1077	28	28	thiele	thiele	PROPN
hjic-1077	28	29	modulus	modulus	NOUN
hjic-1077	28	30	and	and	CCONJ
hjic-1077	28	31	time	time	NOUN
hjic-1077	28	32	.	.	PUNCT
hjic-1077	29	1	szukiewicz	szukiewicz	VERB
hjic-1077	30	1	[	[	X
hjic-1077	30	2	3	3	X
hjic-1077	30	3	]	]	PUNCT
hjic-1077	30	4	has	have	AUX
hjic-1077	30	5	presented	present	VERB
hjic-1077	30	6	the	the	DET
hjic-1077	30	7	approximate	approximate	ADJ
hjic-1077	30	8	formula	formula	NOUN
hjic-1077	30	9	free	free	ADJ
hjic-1077	30	10	of	of	ADP
hjic-1077	30	11	the	the	DET
hjic-1077	30	12	mentioned	mention	VERB
hjic-1077	30	13	drawbacks	drawback	NOUN
hjic-1077	30	14	.	.	PUNCT
hjic-1077	31	1	reported	report	VERB
hjic-1077	31	2	models	model	NOUN
hjic-1077	31	3	concern	concern	NOUN
hjic-1077	31	4	only	only	ADV
hjic-1077	31	5	first	first	ADJ
hjic-1077	31	6	-order	-order	PROPN
hjic-1077	31	7	reactions	reaction	NOUN
hjic-1077	31	8	.	.	PUNCT
hjic-1077	32	1	the	the	DET
hjic-1077	32	2	application	application	NOUN
hjic-1077	32	3	of	of	ADP
hjic-1077	32	4	an	an	DET
hjic-1077	32	5	approximate	approximate	ADJ
hjic-1077	32	6	linear	linear	ADJ
hjic-1077	32	7	driving­	driving­	PROPN
hjic-1077	32	8	force	force	NOUN
hjic-1077	32	9	model	model	NOUN
hjic-1077	32	10	of	of	ADP
hjic-1077	32	11	the	the	DET
hjic-1077	32	12	catalyst	catalyst	NOUN
hjic-1077	32	13	pellet	pellet	NOUN
hjic-1077	32	14	for	for	ADP
hjic-1077	32	15	modeling	modeling	NOUN
hjic-1077	32	16	of	of	ADP
hjic-1077	32	17	a	a	DET
hjic-1077	32	18	fixed	fix	VERB
hjic-1077	32	19	bed	bed	NOUN
hjic-1077	32	20	reactor	reactor	NOUN
hjic-1077	32	21	is	be	AUX
hjic-1077	32	22	presented	present	VERB
hjic-1077	32	23	.	.	PUNCT
hjic-1077	33	1	a	a	DET
hjic-1077	33	2	method	method	NOUN
hjic-1077	33	3	based	base	VERB
hjic-1077	33	4	on	on	ADP
hjic-1077	33	5	a	a	DET
hjic-1077	33	6	solution	solution	NOUN
hjic-1077	33	7	for	for	ADP
hjic-1077	33	8	a	a	DET
hjic-1077	33	9	single	single	ADJ
hjic-1077	33	10	catalyst	catalyst	NOUN
hjic-1077	33	11	pellet	pellet	NOUN
hjic-1077	33	12	has	have	AUX
hjic-1077	33	13	been	be	AUX
hjic-1077	33	14	used	use	VERB
hjic-1077	33	15	to	to	PART
hjic-1077	33	16	evaluate	evaluate	VERB
hjic-1077	33	17	coefficients	coefficient	NOUN
hjic-1077	33	18	in	in	ADP
hjic-1077	33	19	the	the	DET
hjic-1077	33	20	approximate	approximate	ADJ
hjic-1077	33	21	formula	formula	NOUN
hjic-1077	33	22	.	.	PUNCT
hjic-1077	34	1	the	the	DET
hjic-1077	34	2	method	method	NOUN
hjic-1077	34	3	can	can	AUX
hjic-1077	34	4	be	be	AUX
hjic-1077	34	5	used	use	VERB
hjic-1077	34	6	for	for	ADP
hjic-1077	34	7	any	any	DET
hjic-1077	34	8	type	type	NOUN
hjic-1077	34	9	of	of	ADP
hjic-1077	34	10	kinetic	kinetic	ADJ
hjic-1077	34	11	equations	equation	NOUN
hjic-1077	34	12	.	.	PUNCT
hjic-1077	35	1	accuracy	accuracy	NOUN
hjic-1077	35	2	of	of	ADP
hjic-1077	35	3	the	the	DET
hjic-1077	35	4	proposed	propose	VERB
hjic-1077	35	5	model	model	NOUN
hjic-1077	35	6	is	be	AUX
hjic-1077	35	7	very	very	ADV
hjic-1077	35	8	good	good	ADJ
hjic-1077	35	9	.	.	PUNCT
hjic-1077	36	1	the	the	DET
hjic-1077	36	2	error	error	NOUN
hjic-1077	36	3	does	do	AUX
hjic-1077	36	4	not	not	PART
hjic-1077	36	5	exceed	exceed	VERB
hjic-1077	36	6	0.02	0.02	NUM
hjic-1077	36	7	for	for	ADP
hjic-1077	36	8	the	the	DET
hjic-1077	36	9	steady	steady	ADJ
hjic-1077	36	10	state	state	NOUN
hjic-1077	36	11	.	.	PUNCT
hjic-1077	37	1	models	model	NOUN
hjic-1077	37	2	it	it	PRON
hjic-1077	37	3	is	be	AUX
hjic-1077	37	4	assumed	assume	VERB
hjic-1077	37	5	that	that	SCONJ
hjic-1077	37	6	a	a	DET
hjic-1077	37	7	single	single	ADJ
hjic-1077	37	8	,	,	PUNCT
hjic-1077	37	9	isothermal	isothermal	ADJ
hjic-1077	37	10	and	and	CCONJ
hjic-1077	37	11	irreversible	irreversible	ADJ
hjic-1077	37	12	reaction	reaction	NOUN
hjic-1077	37	13	is	be	AUX
hjic-1077	37	14	to	to	PART
hjic-1077	37	15	be	be	AUX
hjic-1077	37	16	carried	carry	VERB
hjic-1077	37	17	out	out	ADP
hjic-1077	37	18	on	on	ADP
hjic-1077	37	19	catalyst	catalyst	NOUN
hjic-1077	37	20	pellets	pellet	NOUN
hjic-1077	37	21	in	in	ADP
hjic-1077	37	22	a	a	DET
hjic-1077	37	23	contact	contact	NOUN
hjic-1077	37	24	information	information	NOUN
hjic-1077	37	25	:	:	PUNCT
hjic-1077	37	26	e-mail:ichms@prz.rzeszow.pl	e-mail:ichms@prz.rzeszow.pl	PROPN
hjic-1077	37	27	;	;	PUNCT
hjic-1077	37	28	tel	tel	PROPN
hjic-1077	37	29	(	(	PUNCT
hjic-1077	37	30	0	0	NUM
hjic-1077	37	31	-	-	SYM
hjic-1077	37	32	48	48	NUM
hjic-1077	37	33	)	)	PUNCT
hjic-1077	37	34	178651216	178651216	NUM
hjic-1077	37	35	92	92	NUM
hjic-1077	37	36	heterogeneous	heterogeneous	ADJ
hjic-1077	37	37	fixed	fix	VERB
hjic-1077	37	38	-	-	PUNCT
hjic-1077	37	39	bed	bed	NOUN
hjic-1077	37	40	reactor	reactor	NOUN
hjic-1077	37	41	.	.	PUNCT
hjic-1077	38	1	both	both	DET
hjic-1077	38	2	models	model	NOUN
hjic-1077	38	3	are	be	AUX
hjic-1077	38	4	presented	present	VERB
hjic-1077	38	5	in	in	ADP
hjic-1077	38	6	dimensionless	dimensionless	NOUN
hjic-1077	38	7	form	form	NOUN
hjic-1077	38	8	.	.	PUNCT
hjic-1077	39	1	heterogeneous	heterogeneous	ADJ
hjic-1077	39	2	(	(	PUNCT
hjic-1077	39	3	exact	exact	ADJ
hjic-1077	39	4	)	)	PUNCT
hjic-1077	39	5	model	model	NOUN
hjic-1077	39	6	mass	mass	NOUN
hjic-1077	39	7	balance	balance	NOUN
hjic-1077	39	8	for	for	ADP
hjic-1077	39	9	fluid	fluid	NOUN
hjic-1077	39	10	and	and	CCONJ
hjic-1077	39	11	for	for	ADP
hjic-1077	39	12	a	a	DET
hjic-1077	39	13	pellet	pellet	NOUN
hjic-1077	39	14	with	with	ADP
hjic-1077	39	15	initial	initial	ADJ
hjic-1077	39	16	and	and	CCONJ
hjic-1077	39	17	boundary	boundary	ADJ
hjic-1077	39	18	conditions	condition	NOUN
hjic-1077	39	19	are	be	AUX
hjic-1077	39	20	described	describe	VERB
hjic-1077	39	21	by	by	ADP
hjic-1077	39	22	eqs	eqs	PROPN
hjic-1077	39	23	.	.	PUNCT
hjic-1077	40	1	(	(	PUNCT
hjic-1077	40	2	1)(5	1)(5	NUM
hjic-1077	40	3	)	)	PUNCT
hjic-1077	40	4	ic	ic	PROPN
hjic-1077	40	5	:	:	PUNCT
hjic-1077	40	6	bc	bc	PROPN
hjic-1077	40	7	:	:	PUNCT
hjic-1077	40	8	e	e	AUX
hjic-1077	40	9	deb	deb	PROPN
hjic-1077	40	10	+	+	PROPN
hjic-1077	40	11	deb	deb	PROPN
hjic-1077	40	12	+	+	CCONJ
hjic-1077	40	13	(	(	PUNCT
hjic-1077	40	14	l	l	NOUN
hjic-1077	40	15	-	-	ADJ
hjic-1077	40	16	se)st(cb	se)st(cb	ADJ
hjic-1077	40	17	-cj=	-cj=	PROPN
hjic-1077	40	18	0	0	PUNCT
hjic-1077	40	19	(	(	PUNCT
hjic-1077	40	20	1	1	X
hjic-1077	40	21	)	)	PUNCT
hjic-1077	40	22	e	e	X
hjic-1077	40	23	d'l	d'l	NOUN
hjic-1077	40	24	:	:	PUNCT
hjic-1077	40	25	dz	dz	PROPN
hjic-1077	40	26	c(o	c(o	PROPN
hjic-1077	40	27	,	,	PUNCT
hjic-1077	40	28	x)=o	x)=o	PROPN
hjic-1077	40	29	cb(o	cb(o	PROPN
hjic-1077	40	30	,	,	PUNCT
hjic-1077	40	31	z)=o	z)=o	NOUN
hjic-1077	40	32	,	,	PUNCT
hjic-1077	40	33	cb(7:,0)=1	cb(7:,0)=1	NOUN
hjic-1077	40	34	e£1	e£1	NOUN
hjic-1077	40	35	-0	-0	PUNCT
hjic-1077	40	36	~x	~x	PUNCT
hjic-1077	41	1	=	=	SYM
hjic-1077	41	2	o	o	NOUN
hjic-1077	41	3	'	'	PUNCT
hjic-1077	41	4	(	(	PUNCT
hjic-1077	41	5	2	2	NUM
hjic-1077	41	6	)	)	PUNCT
hjic-1077	41	7	(	(	PUNCT
hjic-1077	41	8	3	3	X
hjic-1077	41	9	)	)	PUNCT
hjic-1077	41	10	(	(	PUNCT
hjic-1077	41	11	4	4	NUM
hjic-1077	41	12	)	)	PUNCT
hjic-1077	41	13	(	(	PUNCT
hjic-1077	41	14	5	5	NUM
hjic-1077	41	15	)	)	PUNCT
hjic-1077	41	16	in	in	ADP
hjic-1077	41	17	the	the	DET
hjic-1077	41	18	above	above	ADJ
hjic-1077	41	19	equations	equation	NOUN
hjic-1077	41	20	a	a	DET
hjic-1077	41	21	pellet	pellet	NOUN
hjic-1077	41	22	surface	surface	NOUN
hjic-1077	41	23	concentration	concentration	NOUN
hjic-1077	41	24	is	be	AUX
hjic-1077	41	25	denoted	denote	VERB
hjic-1077	41	26	by	by	ADP
hjic-1077	41	27	c8	c8	PROPN
hjic-1077	41	28	,	,	PUNCT
hjic-1077	41	29	i.e.	i.e.	X
hjic-1077	41	30	cs	cs	X
hjic-1077	41	31	=	=	PUNCT
hjic-1077	41	32	c(1:,x	c(1:,x	NOUN
hjic-1077	41	33	=	=	NOUN
hjic-1077	41	34	1	1	NUM
hjic-1077	41	35	)	)	PUNCT
hjic-1077	41	36	.	.	PUNCT
hjic-1077	42	1	approximate	approximate	ADJ
hjic-1077	42	2	model	model	NOUN
hjic-1077	42	3	this	this	DET
hjic-1077	42	4	model	model	NOUN
hjic-1077	42	5	is	be	AUX
hjic-1077	42	6	based	base	VERB
hjic-1077	42	7	on	on	ADP
hjic-1077	42	8	the	the	DET
hjic-1077	42	9	concept	concept	NOUN
hjic-1077	42	10	of	of	ADP
hjic-1077	42	11	approximate	approximate	ADJ
hjic-1077	42	12	model	model	NOUN
hjic-1077	42	13	for	for	ADP
hjic-1077	42	14	the	the	DET
hjic-1077	42	15	pellet	pellet	NOUN
hjic-1077	42	16	.	.	PUNCT
hjic-1077	43	1	using	use	VERB
hjic-1077	43	2	it	it	PRON
hjic-1077	43	3	in	in	ADP
hjic-1077	43	4	heterogeneous	heterogeneous	ADJ
hjic-1077	43	5	model	model	NOUN
hjic-1077	43	6	of	of	ADP
hjic-1077	43	7	the	the	DET
hjic-1077	43	8	reactor	reactor	NOUN
hjic-1077	43	9	leads	lead	VERB
hjic-1077	43	10	to	to	ADP
hjic-1077	43	11	replacing	replace	VERB
hjic-1077	43	12	all	all	DET
hjic-1077	43	13	terms	term	NOUN
hjic-1077	43	14	described	describe	VERB
hjic-1077	43	15	mass	mass	NOUN
hjic-1077	43	16	transfer	transfer	NOUN
hjic-1077	43	17	between	between	ADP
hjic-1077	43	18	a	a	DET
hjic-1077	43	19	pellet	pellet	NOUN
hjic-1077	43	20	and	and	CCONJ
hjic-1077	43	21	its	its	PRON
hjic-1077	43	22	surrounding	surround	VERB
hjic-1077	43	23	by	by	ADP
hjic-1077	43	24	a	a	DET
hjic-1077	43	25	single	single	ADJ
hjic-1077	43	26	term	term	NOUN
hjic-1077	43	27	describing	describe	VERB
hjic-1077	43	28	overall	overall	ADJ
hjic-1077	43	29	mass	mass	ADJ
hjic-1077	43	30	transfer	transfer	NOUN
hjic-1077	43	31	flux	flux	NOUN
hjic-1077	43	32	with	with	ADP
hjic-1077	43	33	an	an	DET
hjic-1077	43	34	assumption	assumption	NOUN
hjic-1077	43	35	that	that	SCONJ
hjic-1077	43	36	concentration	concentration	NOUN
hjic-1077	43	37	profile	profile	NOUN
hjic-1077	43	38	inside	inside	ADP
hjic-1077	43	39	the	the	DET
hjic-1077	43	40	pellet	pellet	NOUN
hjic-1077	43	41	is	be	AUX
hjic-1077	43	42	replaced	replace	VERB
hjic-1077	43	43	by	by	ADP
hjic-1077	43	44	an	an	DET
hjic-1077	43	45	average	average	ADJ
hjic-1077	43	46	concentration	concentration	NOUN
hjic-1077	43	47	cav	cav	NOUN
hjic-1077	43	48	·	·	PUNCT
hjic-1077	43	49	see	see	VERB
hjic-1077	43	50	also	also	ADV
hjic-1077	43	51	derivation	derivation	NOUN
hjic-1077	43	52	of	of	ADP
hjic-1077	43	53	the	the	DET
hjic-1077	43	54	approximate	approximate	ADJ
hjic-1077	43	55	model	model	NOUN
hjic-1077	43	56	for	for	ADP
hjic-1077	43	57	the	the	DET
hjic-1077	43	58	catalyst	catalyst	NOUN
hjic-1077	43	59	pellet	pellet	NOUN
hjic-1077	43	60	[	[	X
hjic-1077	43	61	3	3	X
hjic-1077	43	62	]	]	PUNCT
hjic-1077	43	63	and	and	CCONJ
hjic-1077	43	64	presented	present	VERB
hjic-1077	43	65	there	there	ADV
hjic-1077	43	66	references	reference	NOUN
hjic-1077	43	67	concerned	concerned	ADJ
hjic-1077	43	68	diffusion	diffusion	NOUN
hjic-1077	43	69	and	and	CCONJ
hjic-1077	43	70	adsorption	adsorption	NOUN
hjic-1077	43	71	processes	process	NOUN
hjic-1077	43	72	.	.	PUNCT
hjic-1077	44	1	mass	mass	ADJ
hjic-1077	44	2	balance	balance	NOUN
hjic-1077	44	3	for	for	ADP
hjic-1077	44	4	fluid	fluid	NOUN
hjic-1077	44	5	and	and	CCONJ
hjic-1077	44	6	for	for	ADP
hjic-1077	44	7	a	a	DET
hjic-1077	44	8	pellet	pellet	NOUN
hjic-1077	44	9	with	with	ADP
hjic-1077	44	10	initial	initial	ADJ
hjic-1077	44	11	and	and	CCONJ
hjic-1077	44	12	boundary	boundary	ADJ
hjic-1077	44	13	conditions	condition	NOUN
hjic-1077	44	14	are	be	AUX
hjic-1077	44	15	described	describe	VERB
hjic-1077	44	16	by	by	ADP
hjic-1077	44	17	eqs	eqs	PROPN
hjic-1077	44	18	.	.	PUNCT
hjic-1077	45	1	(	(	PUNCT
hjic-1077	45	2	6	6	NUM
hjic-1077	45	3	)	)	PUNCT
hjic-1077	45	4	(	(	PUNCT
hjic-1077	45	5	9	9	X
hjic-1077	45	6	)	)	PUNCT
hjic-1077	45	7	e	e	NOUN
hjic-1077	45	8	ocb+ocb+(l	ocb+ocb+(l	PROPN
hjic-1077	45	9	-	-	PUNCT
hjic-1077	45	10	ee)s't·k(cb	ee)s't·k(cb	NOUN
hjic-1077	45	11	-	-	PUNCT
hjic-1077	45	12	cav)=o	cav)=o	NOUN
hjic-1077	45	13	(	(	PUNCT
hjic-1077	45	14	6	6	NUM
hjic-1077	45	15	)	)	PUNCT
hjic-1077	45	16	t	t	PROPN
hjic-1077	45	17	'	'	PUNCT
hjic-1077	45	18	a	a	DET
hjic-1077	45	19	-	-	PUNCT
hjic-1077	45	20	r	r	NOUN
hjic-1077	45	21	(	(	PUNCT
hjic-1077	45	22	}	}	PUNCT
hjic-1077	45	23	z	z	NOUN
hjic-1077	45	24	(	(	PUNCT
hjic-1077	45	25	7	7	NUM
hjic-1077	45	26	)	)	PUNCT
hjic-1077	45	27	13	13	NUM
hjic-1077	45	28	12	12	NUM
hjic-1077	45	29	11	11	NUM
hjic-1077	45	30	10	10	NUM
hjic-1077	45	31	--n=1.0	--n=1.0	SYM
hjic-1077	45	32	·	·	PUNCT
hjic-1077	45	33	·	·	PUNCT
hjic-1077	45	34	·	·	PUNCT
hjic-1077	45	35	·	·	PUNCT
hjic-1077	45	36	·	·	PUNCT
hjic-1077	45	37	·	·	PUNCT
hjic-1077	45	38	·	·	PUNCT
hjic-1077	45	39	·	·	PUNCT
hjic-1077	45	40	·	·	PUNCT
hjic-1077	45	41	·	·	PUNCT
hjic-1077	45	42	n=1.5	n=1.5	X
hjic-1077	45	43	·	·	PUNCT
hjic-1077	45	44	·	·	PUNCT
hjic-1077	45	45	·	·	PUNCT
hjic-1077	45	46	·	·	PUNCT
hjic-1077	45	47	·	·	PUNCT
hjic-1077	45	48	·	·	PUNCT
hjic-1077	45	49	·	·	PUNCT
hjic-1077	45	50	·	·	PUNCT
hjic-1077	45	51	·	·	PUNCT
hjic-1077	45	52	·	·	PUNCT
hjic-1077	45	53	·	·	PUNCT
hjic-1077	45	54	·	·	PUNCT
hjic-1077	45	55	·	·	PUNCT
hjic-1077	45	56	·	·	PUNCT
hjic-1077	45	57	·	·	PUNCT
hjic-1077	45	58	·	·	PUNCT
hjic-1077	45	59	·	·	SYM
hjic-1077	45	60	n=2.0	n=2.0	PROPN
hjic-1077	45	61	--n=2.5	--n=2.5	PRON
hjic-1077	45	62	--n=3.0	--n=3.0	SYM
hjic-1077	45	63	0	0	NUM
hjic-1077	45	64	10	10	NUM
hjic-1077	45	65	fig.l	fig.l	PROPN
hjic-1077	45	66	coefficient	coefficient	NOUN
hjic-1077	45	67	fvs	fvs	NOUN
hjic-1077	45	68	.	.	PROPN
hjic-1077	45	69	thiele	thiele	PROPN
hjic-1077	45	70	modulus	modulus	PROPN
hjic-1077	45	71	.	.	PROPN
hjic-1077	45	72	1	1	NUM
hjic-1077	45	73	(	(	PUNCT
hjic-1077	45	74	11	11	NUM
hjic-1077	45	75	)	)	PUNCT
hjic-1077	45	76	k	k	NOUN
hjic-1077	45	77	1	1	NUM
hjic-1077	45	78	+	+	NUM
hjic-1077	45	79	bi	bi	ADJ
hjic-1077	45	80	111	111	NUM
hjic-1077	45	81	/	/	SYM
hjic-1077	45	82	f	f	PROPN
hjic-1077	45	83	in	in	ADP
hjic-1077	45	84	the	the	DET
hjic-1077	45	85	approximate	approximate	ADJ
hjic-1077	45	86	model	model	NOUN
hjic-1077	45	87	of	of	ADP
hjic-1077	45	88	the	the	DET
hjic-1077	45	89	catalyst	catalyst	NOUN
hjic-1077	45	90	pellet	pellet	NOUN
hjic-1077	45	91	an	an	DET
hjic-1077	45	92	unknown	unknown	ADJ
hjic-1077	45	93	coefficient	coefficient	NOUN
hjic-1077	45	94	f	f	PROPN
hjic-1077	45	95	occurs	occur	VERB
hjic-1077	45	96	,	,	PUNCT
hjic-1077	45	97	which	which	PRON
hjic-1077	45	98	is	be	AUX
hjic-1077	45	99	a	a	DET
hjic-1077	45	100	reflection	reflection	NOUN
hjic-1077	45	101	of	of	ADP
hjic-1077	45	102	the	the	DET
hjic-1077	45	103	rapidity	rapidity	NOUN
hjic-1077	45	104	in	in	ADP
hjic-1077	45	105	the	the	DET
hjic-1077	45	106	mass	mass	NOUN
hjic-1077	45	107	transfer	transfer	NOUN
hjic-1077	45	108	rate	rate	NOUN
hjic-1077	45	109	resulting	result	VERB
hjic-1077	45	110	from	from	ADP
hjic-1077	45	111	chemical	chemical	ADJ
hjic-1077	45	112	reaction	reaction	NOUN
hjic-1077	45	113	.	.	PUNCT
hjic-1077	46	1	passing	pass	VERB
hjic-1077	46	2	over	over	ADP
hjic-1077	46	3	this	this	DET
hjic-1077	46	4	coefficient	coefficient	NOUN
hjic-1077	46	5	leads	lead	VERB
hjic-1077	46	6	to	to	ADP
hjic-1077	46	7	significant	significant	ADJ
hjic-1077	46	8	errors	error	NOUN
hjic-1077	46	9	for	for	ADP
hjic-1077	46	10	larger	large	ADJ
hjic-1077	46	11	values	value	NOUN
hjic-1077	46	12	of	of	ADP
hjic-1077	46	13	thiele	thiele	PROPN
hjic-1077	46	14	modulus	modulus	PROPN
hjic-1077	46	15	(	(	PUNCT
hjic-1077	46	16	cf	cf	NOUN
hjic-1077	46	17	.	.	PROPN
hjic-1077	46	18	cited	cite	VERB
hjic-1077	46	19	above	above	ADP
hjic-1077	46	20	goto	goto	NOUN
hjic-1077	46	21	and	and	CCONJ
hjic-1077	46	22	hirose	hirose	NOUN
hjic-1077	47	1	[	[	X
hjic-1077	47	2	2	2	NUM
hjic-1077	47	3	]	]	NUM
hjic-1077	47	4	)	)	PUNCT
hjic-1077	47	5	.	.	PUNCT
hjic-1077	48	1	the	the	DET
hjic-1077	48	2	f	f	PROPN
hjic-1077	48	3	value	value	NOUN
hjic-1077	48	4	can	can	AUX
hjic-1077	48	5	be	be	AUX
hjic-1077	48	6	calculated	calculate	VERB
hjic-1077	48	7	as	as	SCONJ
hjic-1077	48	8	follows	follow	VERB
hjic-1077	48	9	.	.	PUNCT
hjic-1077	49	1	firstly	firstly	ADV
hjic-1077	49	2	a	a	DET
hjic-1077	49	3	model	model	NOUN
hjic-1077	49	4	of	of	ADP
hjic-1077	49	5	a	a	DET
hjic-1077	49	6	single	single	ADJ
hjic-1077	49	7	catalyst	catalyst	NOUN
hjic-1077	49	8	pellet	pellet	NOUN
hjic-1077	49	9	(	(	PUNCT
hjic-1077	49	10	eq	eq	NOUN
hjic-1077	49	11	.	.	PUNCT
hjic-1077	50	1	(	(	PUNCT
hjic-1077	50	2	2	2	NUM
hjic-1077	50	3	)	)	PUNCT
hjic-1077	50	4	with	with	ADP
hjic-1077	50	5	accompanied	accompany	VERB
hjic-1077	50	6	ic	ic	PROPN
hjic-1077	50	7	and	and	CCONJ
hjic-1077	50	8	bc	bc	VERB
hjic-1077	50	9	}	}	PUNCT
hjic-1077	50	10	for	for	ADP
hjic-1077	50	11	inlet	inlet	ADJ
hjic-1077	50	12	reactor	reactor	NOUN
hjic-1077	50	13	conditions	condition	NOUN
hjic-1077	50	14	should	should	AUX
hjic-1077	50	15	be	be	AUX
hjic-1077	50	16	solved	solve	VERB
hjic-1077	50	17	that	that	PRON
hjic-1077	50	18	gives	give	VERB
hjic-1077	50	19	a	a	DET
hjic-1077	50	20	concentration	concentration	NOUN
hjic-1077	50	21	profile	profile	NOUN
hjic-1077	50	22	inside	inside	ADP
hjic-1077	50	23	the	the	DET
hjic-1077	50	24	pellet	pellet	NOUN
hjic-1077	50	25	.	.	PUNCT
hjic-1077	51	1	generally	generally	ADV
hjic-1077	51	2	,	,	PUNCT
hjic-1077	51	3	it	it	PRON
hjic-1077	51	4	can	can	AUX
hjic-1077	51	5	be	be	AUX
hjic-1077	51	6	done	do	VERB
hjic-1077	51	7	numerically	numerically	ADV
hjic-1077	51	8	.	.	PUNCT
hjic-1077	52	1	finding	find	VERB
hjic-1077	52	2	this	this	DET
hjic-1077	52	3	solution	solution	NOUN
hjic-1077	52	4	is	be	AUX
hjic-1077	52	5	the	the	DET
hjic-1077	52	6	basic	basic	ADJ
hjic-1077	52	7	difficulty	difficulty	NOUN
hjic-1077	52	8	of	of	ADP
hjic-1077	52	9	the	the	DET
hjic-1077	52	10	presented	present	VERB
hjic-1077	52	11	method	method	NOUN
hjic-1077	52	12	,	,	PUNCT
hjic-1077	52	13	however	however	ADV
hjic-1077	52	14	this	this	DET
hjic-1077	52	15	task	task	NOUN
hjic-1077	52	16	is	be	AUX
hjic-1077	52	17	relatively	relatively	ADV
hjic-1077	52	18	simple	simple	ADJ
hjic-1077	52	19	,	,	PUNCT
hjic-1077	52	20	well	well	ADV
hjic-1077	52	21	reported	report	VERB
hjic-1077	52	22	in	in	ADP
hjic-1077	52	23	literature	literature	NOUN
hjic-1077	52	24	(	(	PUNCT
hjic-1077	52	25	e.g.	e.g.	ADV
hjic-1077	52	26	finlayson	finlayson	X
hjic-1077	52	27	[	[	X
hjic-1077	52	28	4	4	NUM
hjic-1077	52	29	]	]	PUNCT
hjic-1077	52	30	,	,	PUNCT
hjic-1077	52	31	davis	davis	PROPN
hjic-1077	53	1	[	[	X
hjic-1077	53	2	5	5	NUM
hjic-1077	53	3	]	]	PUNCT
hjic-1077	53	4	)	)	PUNCT
hjic-1077	53	5	.	.	PUNCT
hjic-1077	54	1	next	next	ADV
hjic-1077	54	2	,	,	PUNCT
hjic-1077	54	3	the	the	DET
hjic-1077	54	4	found	find	VERB
hjic-1077	54	5	concentration	concentration	NOUN
hjic-1077	54	6	profile	profile	NOUN
hjic-1077	54	7	enables	enable	VERB
hjic-1077	54	8	calculation	calculation	NOUN
hjic-1077	54	9	of	of	ADP
hjic-1077	54	10	both	both	CCONJ
hjic-1077	54	11	steady	steady	ADJ
hjic-1077	54	12	-	-	PUNCT
hjic-1077	54	13	state	state	NOUN
hjic-1077	54	14	mass	mass	NOUN
hjic-1077	54	15	flux	flux	NOUN
hjic-1077	54	16	of	of	ADP
hjic-1077	54	17	a	a	DET
hjic-1077	54	18	reactant	reactant	NOUN
hjic-1077	54	19	(	(	PUNCT
hjic-1077	54	20	using	use	VERB
hjic-1077	54	21	e.g.	e.g.	ADV
hjic-1077	54	22	the	the	DET
hjic-1077	54	23	second	second	NOUN
hjic-1077	54	24	of	of	ADP
hjic-1077	54	25	the	the	DET
hjic-1077	54	26	boundary	boundary	ADJ
hjic-1077	54	27	condition	condition	NOUN
hjic-1077	54	28	(	(	PUNCT
hjic-1077	54	29	5	5	NUM
hjic-1077	54	30	)	)	PUNCT
hjic-1077	54	31	)	)	PUNCT
hjic-1077	54	32	and	and	CCONJ
hjic-1077	54	33	steady	steady	ADJ
hjic-1077	54	34	-	-	PUNCT
hjic-1077	54	35	state	state	NOUN
hjic-1077	54	36	average	average	ADJ
hjic-1077	54	37	concentration	concentration	NOUN
hjic-1077	54	38	in	in	ADP
hjic-1077	54	39	the	the	DET
hjic-1077	54	40	pellet	pellet	NOUN
hjic-1077	54	41	(	(	PUNCT
hjic-1077	54	42	using	use	VERB
hjic-1077	54	43	eq	eq	X
hjic-1077	54	44	.	.	PUNCT
hjic-1077	55	1	(	(	PUNCT
hjic-1077	55	2	10	10	NUM
hjic-1077	55	3	)	)	PUNCT
hjic-1077	55	4	)	)	PUNCT
hjic-1077	55	5	.	.	PUNCT
hjic-1077	56	1	comparison	comparison	NOUN
hjic-1077	56	2	of	of	ADP
hjic-1077	56	3	mentioned	mention	VERB
hjic-1077	56	4	mass	mass	ADJ
hjic-1077	56	5	flux	flux	NOUN
hjic-1077	56	6	and	and	CCONJ
hjic-1077	56	7	overall	overall	ADJ
hjic-1077	56	8	mass	mass	NOUN
hjic-1077	56	9	flux	flux	NOUN
hjic-1077	56	10	gives	give	VERB
hjic-1077	56	11	a	a	DET
hjic-1077	56	12	value	value	NOUN
hjic-1077	56	13	of	of	ADP
hjic-1077	56	14	coefficient	coefficient	NOUN
hjic-1077	56	15	f.	f.	PROPN
hjic-1077	56	16	although	although	SCONJ
hjic-1077	56	17	this	this	DET
hjic-1077	56	18	coefficient	coefficient	NOUN
hjic-1077	56	19	is	be	AUX
hjic-1077	56	20	time­	time­	NUM
hjic-1077	56	21	dependent	dependent	ADJ
hjic-1077	56	22	the	the	DET
hjic-1077	56	23	steady	steady	ADJ
hjic-1077	56	24	-	-	PUNCT
hjic-1077	56	25	state	state	NOUN
hjic-1077	56	26	value	value	NOUN
hjic-1077	56	27	·	·	PUNCT
hjic-1077	56	28	of	of	ADP
hjic-1077	56	29	it	it	PRON
hjic-1077	56	30	is	be	AUX
hjic-1077	56	31	accepted	accept	VERB
hjic-1077	56	32	for	for	ADP
hjic-1077	56	33	calculations	calculation	NOUN
hjic-1077	56	34	[	[	X
hjic-1077	56	35	3	3	NUM
hjic-1077	56	36	]	]	PUNCT
hjic-1077	56	37	.	.	PUNCT
hjic-1077	57	1	for	for	ADP
hjic-1077	57	2	both	both	DET
hjic-1077	57	3	models	model	NOUN
hjic-1077	57	4	partial	partial	ADJ
hjic-1077	57	5	differential	differential	NOUN
hjic-1077	57	6	equations	equation	NOUN
hjic-1077	57	7	have	have	AUX
hjic-1077	57	8	been	be	AUX
hjic-1077	57	9	reduced	reduce	VERB
hjic-1077	57	10	to	to	ADP
hjic-1077	57	11	a	a	DET
hjic-1077	57	12	set	set	NOUN
hjic-1077	57	13	of	of	ADP
hjic-1077	57	14	ordinary	ordinary	ADJ
hjic-1077	57	15	differential	differential	ADJ
hjic-1077	57	16	equations	equation	NOUN
hjic-1077	57	17	by	by	ADP
hjic-1077	57	18	applying	apply	VERB
hjic-1077	57	19	orthogonal	orthogonal	ADJ
hjic-1077	57	20	collocation	collocation	NOUN
hjic-1077	57	21	method	method	NOUN
hjic-1077	57	22	.	.	PUNCT
hjic-1077	58	1	the	the	DET
hjic-1077	58	2	set	set	NOUN
hjic-1077	58	3	of	of	ADP
hjic-1077	58	4	odes	ode	NOUN
hjic-1077	58	5	has	have	AUX
hjic-1077	58	6	been	be	AUX
hjic-1077	58	7	solved	solve	VERB
hjic-1077	58	8	using	use	VERB
hjic-1077	58	9	procedure	procedure	NOUN
hjic-1077	58	10	lsoda	lsoda	PROPN
hjic-1077	58	11	.	.	PUNCT
hjic-1077	59	1	results	result	NOUN
hjic-1077	59	2	and	and	CCONJ
hjic-1077	59	3	discussion	discussion	NOUN
hjic-1077	59	4	ic	ic	NUM
hjic-1077	59	5	:	:	PUNCT
hjic-1077	59	6	c11	c11	NOUN
hjic-1077	59	7	(	(	PUNCT
hjic-1077	59	8	0.z)=o	0.z)=o	PROPN
hjic-1077	59	9	,	,	PUNCT
hjic-1077	59	10	c11	c11	NOUN
hjic-1077	59	11	(	(	PUNCT
hjic-1077	59	12	r	r	NOUN
hjic-1077	59	13	,	,	PUNCT
hjic-1077	59	14	o)=l	o)=l	NUM
hjic-1077	59	15	(	(	PUNCT
hjic-1077	59	16	8)	8)	NUM
hjic-1077	59	17	calculations	calculation	NOUN
hjic-1077	59	18	have	have	AUX
hjic-1077	59	19	been	be	AUX
hjic-1077	59	20	carried	carry	VERB
hjic-1077	59	21	out	out	ADP
hjic-1077	59	22	for	for	ADP
hjic-1077	59	23	power	power	NOUN
hjic-1077	59	24	-	-	PUNCT
hjic-1077	59	25	law	law	NOUN
hjic-1077	59	26	type	type	NOUN
hjic-1077	59	27	of	of	ADP
hjic-1077	59	28	kinetic	kinetic	ADJ
hjic-1077	59	29	rate	rate	NOUN
hjic-1077	59	30	:	:	PUNCT
hjic-1077	59	31	bc	bc	PROPN
hjic-1077	59	32	:	:	PUNCT
hjic-1077	59	33	where	where	SCONJ
hjic-1077	59	34	(	(	PUNCT
hjic-1077	59	35	9	9	NUM
hjic-1077	59	36	)	)	PUNCT
hjic-1077	59	37	(	(	PUNCT
hjic-1077	59	38	12	12	NUM
hjic-1077	59	39	)	)	PUNCT
hjic-1077	59	40	where	where	SCONJ
hjic-1077	59	41	n=[l.o	n=[l.o	NOUN
hjic-1077	59	42	,	,	PUNCT
hjic-1077	59	43	l.5	l.5	ADV
hjic-1077	59	44	,	,	PUNCT
hjic-1077	59	45	2.0	2.0	NUM
hjic-1077	59	46	,	,	PUNCT
hjic-1077	59	47	2.5	2.5	NUM
hjic-1077	59	48	,	,	PUNCT
hjic-1077	59	49	3.0	3.0	NUM
hjic-1077	59	50	]	]	PUNCT
hjic-1077	59	51	(	(	PUNCT
hjic-1077	59	52	10	10	NUM
hjic-1077	59	53	)	)	PUNCT
hjic-1077	59	54	firstly	firstly	ADV
hjic-1077	59	55	,	,	PUNCT
hjic-1077	59	56	for	for	ADP
hjic-1077	59	57	all	all	DET
hjic-1077	59	58	values	value	NOUN
hjic-1077	59	59	of	of	ADP
hjic-1077	59	60	n	n	PRON
hjic-1077	59	61	the	the	DET
hjic-1077	59	62	coefficient	coefficient	NOUN
hjic-1077	59	63	f	f	PROPN
hjic-1077	59	64	was	be	AUX
hjic-1077	59	65	computed	compute	VERB
hjic-1077	59	66	assuming	assume	VERB
hjic-1077	59	67	for	for	ADP
hjic-1077	59	68	the	the	DET
hjic-1077	59	69	pellet	pellet	NOUN
hjic-1077	59	70	the	the	DET
hjic-1077	59	71	inlet	inlet	ADJ
hjic-1077	59	72	reactor	reactor	NOUN
hjic-1077	59	73	conditions	condition	NOUN
hjic-1077	59	74	.	.	PUNCT
hjic-1077	60	1	results	result	NOUN
hjic-1077	60	2	are	be	AUX
hjic-1077	60	3	presented	present	VERB
hjic-1077	60	4	in	in	ADP
hjic-1077	60	5	fig.l	fig.l	PROPN
hjic-1077	60	6	.	.	PUNCT
hjic-1077	60	7	value	value	NOUN
hjic-1077	60	8	off	off	ADP
hjic-1077	60	9	rises	rise	NOUN
hjic-1077	60	10	with	with	ADP
hjic-1077	60	11	thiele	thiele	PROPN
hjic-1077	60	12	modulus	modulus	NOUN
hjic-1077	60	13	.	.	PUNCT
hjic-1077	61	1	it	it	PRON
hjic-1077	61	2	is	be	AUX
hjic-1077	61	3	,	,	PUNCT
hjic-1077	61	4	as	as	SCONJ
hjic-1077	61	5	mentioned	mention	VERB
hjic-1077	61	6	above	above	ADV
hjic-1077	61	7	,	,	PUNCT
hjic-1077	61	8	a	a	DET
hjic-1077	61	9	1.0	1.0	NUM
hjic-1077	61	10	0.9	0.9	NUM
hjic-1077	61	11	0.8	0.8	NUM
hjic-1077	61	12	0	0	NUM
hjic-1077	61	13	c	c	X
hjic-1077	61	14	:	:	PUNCT
hjic-1077	61	15	:	:	PUNCT
hjic-1077	61	16	:	:	PUNCT
hjic-1077	61	17	.q	.q	PROPN
hjic-1077	61	18	0.7	0.7	NUM
hjic-1077	62	1	"	"	PUNCT
hjic-1077	62	2	§	§	PROPN
hjic-1077	62	3	~	~	PUNCT
hjic-1077	62	4	0.6	0.6	NUM
hjic-1077	62	5	0	0	NUM
hjic-1077	62	6	s	s	X
hjic-1077	62	7	:	:	PUNCT
hjic-1077	62	8	:	:	PUNCT
hjic-1077	62	9	:	:	PUNCT
hjic-1077	62	10	8	8	NUM
hjic-1077	62	11	0.5	0.5	NUM
hjic-1077	62	12	-a	-a	NUM
hjic-1077	62	13	;	;	PUNCT
hjic-1077	62	14	'	'	NUM
hjic-1077	62	15	5	5	NUM
hjic-1077	62	16	0.4	0.4	NUM
hjic-1077	62	17	0	0	NUM
hjic-1077	62	18	0.3	0.3	NUM
hjic-1077	62	19	--eqs	--eq	NOUN
hjic-1077	62	20	{	{	PUNCT
hjic-1077	62	21	1	1	NUM
hjic-1077	62	22	)	)	PUNCT
hjic-1077	62	23	-(2	-(2	PROPN
hjic-1077	62	24	)	)	PUNCT
hjic-1077	62	25	-·-	-·-	PROPN
hjic-1077	62	26	·	·	SYM
hjic-1077	62	27	·	·	PUNCT
hjic-1077	62	28	·	·	PUNCT
hjic-1077	62	29	·	·	PUNCT
hjic-1077	62	30	·	·	PUNCT
hjic-1077	62	31	·	·	SYM
hjic-1077	62	32	·	·	SYM
hjic-1077	62	33	eqs	eqs	X
hjic-1077	62	34	(	(	PUNCT
hjic-1077	62	35	6)-(7	6)-(7	NOUN
hjic-1077	62	36	)	)	PUNCT
hjic-1077	62	37	bim=500	bim=500	NOUN
hjic-1077	62	38	0.2	0.2	NUM
hjic-1077	62	39	l----l	l----l	NOUN
hjic-1077	62	40	---	---	PUNCT
hjic-1077	62	41	l---'--	l---'--	PROPN
hjic-1077	62	42	...	...	PUNCT
hjic-1077	62	43	1	1	NUM
hjic-1077	62	44	-	-	SYM
hjic-1077	62	45	--'---'------.j.---l----'---	--'---'------.j.---l----'---	NOUN
hjic-1077	62	46	'	'	PUNCT
hjic-1077	62	47	0	0	NUM
hjic-1077	62	48	2	2	NUM
hjic-1077	62	49	4	4	NUM
hjic-1077	62	50	thiele	thiele	PROPN
hjic-1077	62	51	modulus	modulus	NOUN
hjic-1077	62	52	,	,	PUNCT
hjic-1077	62	53	q	q	X
hjic-1077	62	54	,	,	PUNCT
hjic-1077	62	55	fig.2	fig.2	PROPN
hjic-1077	62	56	steady	steady	ADJ
hjic-1077	62	57	state	state	NOUN
hjic-1077	62	58	reactor	reactor	NOUN
hjic-1077	62	59	outlet	outlet	NOUN
hjic-1077	62	60	concentration	concentration	NOUN
hjic-1077	62	61	vs.	vs.	ADP
hjic-1077	62	62	thiele	thiele	PROPN
hjic-1077	62	63	modulus	modulus	NOUN
hjic-1077	62	64	for	for	ADP
hjic-1077	62	65	small	small	ADJ
hjic-1077	62	66	external	external	ADJ
hjic-1077	62	67	mass	mass	NOUN
hjic-1077	62	68	transfer	transfer	NOUN
hjic-1077	62	69	resistance	resistance	NOUN
hjic-1077	62	70	.	.	PUNCT
hjic-1077	63	1	1.0	1.0	NUM
hjic-1077	63	2	0.8	0.8	NUM
hjic-1077	63	3	0	0	NUM
hjic-1077	63	4	c	c	NOUN
hjic-1077	63	5	:	:	PUNCT
hjic-1077	63	6	:	:	PUNCT
hjic-1077	63	7	:	:	PUNCT
hjic-1077	63	8	~	~	PUNCT
hjic-1077	63	9	0.6	0.6	NUM
hjic-1077	63	10	~	~	PUNCT
hjic-1077	63	11	"	"	PUNCT
hjic-1077	63	12	e	e	X
hjic-1077	63	13	(	(	PUNCT
hjic-1077	63	14	]	]	X
hjic-1077	63	15	)	)	PUNCT
hjic-1077	63	16	0	0	PUNCT
hjic-1077	64	1	§	§	PROPN
hjic-1077	64	2	0.4	0.4	NUM
hjic-1077	64	3	0	0	NUM
hjic-1077	64	4	]	]	PUNCT
hjic-1077	64	5	!	!	PUNCT
hjic-1077	65	1	"	"	PUNCT
hjic-1077	65	2	5	5	NUM
hjic-1077	65	3	0	0	NUM
hjic-1077	65	4	0.2	0.2	NUM
hjic-1077	65	5	--eqs	--eq	NOUN
hjic-1077	65	6	(	(	PUNCT
hjic-1077	65	7	1	1	X
hjic-1077	65	8	)	)	PUNCT
hjic-1077	65	9	-(2	-(2	PROPN
hjic-1077	65	10	)	)	PUNCT
hjic-1077	65	11	--	--	PUNCT
hjic-1077	65	12	·	·	PUNCT
hjic-1077	65	13	·	·	PUNCT
hjic-1077	65	14	·	·	PUNCT
hjic-1077	65	15	·	·	PUNCT
hjic-1077	65	16	·	·	PUNCT
hjic-1077	65	17	·	·	PUNCT
hjic-1077	65	18	·	·	SYM
hjic-1077	65	19	·	·	SYM
hjic-1077	65	20	eqs	eqs	X
hjic-1077	65	21	(	(	PUNCT
hjic-1077	65	22	6)-(7	6)-(7	NOUN
hjic-1077	65	23	)	)	PUNCT
hjic-1077	65	24	bim=50	bim=50	ADJ
hjic-1077	65	25	2	2	NUM
hjic-1077	65	26	4	4	NUM
hjic-1077	65	27	thiele	thiele	PROPN
hjic-1077	65	28	modulus	modulus	NOUN
hjic-1077	65	29	,	,	PUNCT
hjic-1077	65	30	.p	.p	PROPN
hjic-1077	65	31	fig.3	fig.3	PROPN
hjic-1077	65	32	steady	steady	ADJ
hjic-1077	65	33	state	state	NOUN
hjic-1077	65	34	reactor	reactor	NOUN
hjic-1077	65	35	outlet	outlet	NOUN
hjic-1077	65	36	concentration	concentration	NOUN
hjic-1077	65	37	vs.	vs.	ADP
hjic-1077	65	38	thiele	thiele	PROPN
hjic-1077	65	39	modulus	modulus	NOUN
hjic-1077	65	40	for	for	ADP
hjic-1077	65	41	large	large	ADJ
hjic-1077	65	42	external	external	ADJ
hjic-1077	65	43	mass	mass	NOUN
hjic-1077	65	44	transfer	transfer	NOUN
hjic-1077	65	45	resistance	resistance	NOUN
hjic-1077	65	46	.	.	PUNCT
hjic-1077	66	1	10	10	NUM
hjic-1077	66	2	10	10	NUM
hjic-1077	66	3	reflection	reflection	NOUN
hjic-1077	66	4	of	of	ADP
hjic-1077	66	5	the	the	DET
hjic-1077	66	6	rapidity	rapidity	NOUN
hjic-1077	66	7	in	in	ADP
hjic-1077	66	8	the	the	DET
hjic-1077	66	9	mass	mass	NOUN
hjic-1077	66	10	transfer	transfer	NOUN
hjic-1077	66	11	rate	rate	NOUN
hjic-1077	66	12	resulting	result	VERB
hjic-1077	66	13	from	from	ADP
hjic-1077	66	14	chemical	chemical	ADJ
hjic-1077	66	15	reaction	reaction	NOUN
hjic-1077	66	16	.	.	PUNCT
hjic-1077	67	1	it	it	PRON
hjic-1077	67	2	is	be	AUX
hjic-1077	67	3	significant	significant	ADJ
hjic-1077	67	4	that	that	SCONJ
hjic-1077	67	5	values	value	NOUN
hjic-1077	67	6	of	of	ADP
hjic-1077	67	7	coefficient	coefficient	NOUN
hjic-1077	67	8	f	f	PROPN
hjic-1077	67	9	for	for	ADP
hjic-1077	67	10	linear	linear	ADJ
hjic-1077	67	11	type	type	NOUN
hjic-1077	67	12	kinetic	kinetic	NOUN
hjic-1077	67	13	are	be	AUX
hjic-1077	67	14	exactly	exactly	ADV
hjic-1077	67	15	the	the	DET
hjic-1077	67	16	same	same	ADJ
hjic-1077	67	17	as	as	SCONJ
hjic-1077	67	18	calculated	calculate	VERB
hjic-1077	67	19	analytically	analytically	ADV
hjic-1077	67	20	(	(	PUNCT
hjic-1077	67	21	see	see	VERB
hjic-1077	67	22	[	[	X
hjic-1077	67	23	3	3	NUM
hjic-1077	67	24	]	]	NUM
hjic-1077	67	25	)	)	PUNCT
hjic-1077	67	26	.	.	PUNCT
hjic-1077	68	1	secondly	secondly	ADV
hjic-1077	68	2	both	both	DET
hjic-1077	68	3	presented	present	VERB
hjic-1077	68	4	models	model	NOUN
hjic-1077	68	5	have	have	AUX
hjic-1077	68	6	been	be	AUX
hjic-1077	68	7	compared	compare	VERB
hjic-1077	68	8	in	in	ADP
hjic-1077	68	9	wide	wide	ADJ
hjic-1077	68	10	range	range	NOUN
hjic-1077	68	11	of	of	ADP
hjic-1077	68	12	thiele	thiele	PROPN
hjic-1077	68	13	modulus	modulus	NOUN
hjic-1077	68	14	(	(	PUNCT
hjic-1077	68	15	4	4	NUM
hjic-1077	68	16	>	>	SYM
hjic-1077	68	17	e	e	X
hjic-1077	69	1	[	[	X
hjic-1077	69	2	0	0	NUM
hjic-1077	69	3	..	..	SYM
hjic-1077	69	4	1	1	NUM
hjic-1077	69	5	oj	oj	NOUN
hjic-1077	69	6	)	)	PUNCT
hjic-1077	69	7	and	and	CCONJ
hjic-1077	69	8	biot	biot	ADJ
hjic-1077	69	9	number	number	NOUN
hjic-1077	69	10	(	(	PUNCT
hjic-1077	69	11	bime[lo	bime[lo	PROPN
hjic-1077	69	12	..	..	PUNCT
hjic-1077	70	1	oo	oo	INTJ
hjic-1077	70	2	]	]	X
hjic-1077	70	3	)	)	PUNCT
hjic-1077	70	4	.	.	PUNCT
hjic-1077	71	1	furthermore	furthermore	ADV
hjic-1077	71	2	,	,	PUNCT
hjic-1077	71	3	it	it	PRON
hjic-1077	71	4	was	be	AUX
hjic-1077	71	5	assumed	assume	VERB
hjic-1077	71	6	st	st	PROPN
hjic-1077	71	7	=	=	PROPN
hjic-1077	71	8	loo	loo	NOUN
hjic-1077	71	9	,	,	PUNCT
hjic-1077	71	10	ee=0.3	ee=0.3	NOUN
hjic-1077	71	11	and	and	CCONJ
hjic-1077	71	12	£	£	SYM
hjic-1077	71	13	p=0.5	p=0.5	NOUN
hjic-1077	71	14	.	.	PUNCT
hjic-1077	72	1	all	all	DET
hjic-1077	72	2	tests	test	NOUN
hjic-1077	72	3	have	have	AUX
hjic-1077	72	4	shown	show	VERB
hjic-1077	72	5	good	good	ADJ
hjic-1077	72	6	compatibility	compatibility	NOUN
hjic-1077	72	7	of	of	ADP
hjic-1077	72	8	the	the	DET
hjic-1077	72	9	results	result	NOUN
hjic-1077	72	10	obtained	obtain	VERB
hjic-1077	72	11	for	for	ADP
hjic-1077	72	12	heterogeneous	heterogeneous	ADJ
hjic-1077	72	13	and	and	CCONJ
hjic-1077	72	14	approximate	approximate	ADJ
hjic-1077	72	15	models	model	NOUN
hjic-1077	72	16	at	at	ADP
hjic-1077	72	17	steady	steady	ADJ
hjic-1077	72	18	state	state	NOUN
hjic-1077	72	19	.	.	PUNCT
hjic-1077	73	1	the	the	DET
hjic-1077	73	2	maximum	maximum	ADJ
hjic-1077	73	3	absolute	absolute	ADJ
hjic-1077	73	4	error	error	NOUN
hjic-1077	73	5	has	have	AUX
hjic-1077	73	6	not	not	PART
hjic-1077	73	7	exceeded	exceed	VERB
hjic-1077	73	8	0.02	0.02	NUM
hjic-1077	73	9	.	.	PUNCT
hjic-1077	74	1	for	for	ADP
hjic-1077	74	2	linear	linear	ADJ
hjic-1077	74	3	type	type	NOUN
hjic-1077	74	4	of	of	ADP
hjic-1077	74	5	kinetic	kinetic	ADJ
hjic-1077	74	6	rate	rate	NOUN
hjic-1077	74	7	the	the	DET
hjic-1077	74	8	outlet	outlet	NOUN
hjic-1077	74	9	concentrations	concentration	NOUN
hjic-1077	74	10	were	be	AUX
hjic-1077	74	11	the	the	DET
hjic-1077	74	12	same	same	ADJ
hjic-1077	74	13	for	for	ADP
hjic-1077	74	14	entire	entire	ADJ
hjic-1077	74	15	range	range	NOUN
hjic-1077	74	16	of	of	ADP
hjic-1077	74	17	thiele	thiele	PROPN
hjic-1077	74	18	modulus	modulus	NOUN
hjic-1077	74	19	,	,	PUNCT
hjic-1077	74	20	for	for	ADP
hjic-1077	74	21	non­	non­	NOUN
hjic-1077	74	22	linear	linear	PROPN
hjic-1077	74	23	one	one	NUM
hjic-1077	74	24	the	the	DET
hjic-1077	74	25	error	error	NOUN
hjic-1077	74	26	grew	grow	VERB
hjic-1077	74	27	with	with	ADP
hjic-1077	74	28	the	the	DET
hjic-1077	74	29	value	value	NOUN
hjic-1077	74	30	of	of	ADP
hjic-1077	74	31	mentioned	mention	VERB
hjic-1077	74	32	parameter	parameter	NOUN
hjic-1077	74	33	.	.	PUNCT
hjic-1077	75	1	it	it	PRON
hjic-1077	75	2	should	should	AUX
hjic-1077	75	3	be	be	AUX
hjic-1077	75	4	emphasized	emphasize	VERB
hjic-1077	75	5	that	that	SCONJ
hjic-1077	75	6	for	for	ADP
hjic-1077	75	7	small	small	ADJ
hjic-1077	75	8	and	and	CCONJ
hjic-1077	75	9	intermediate	intermediate	ADJ
hjic-1077	75	10	values	value	NOUN
hjic-1077	75	11	of	of	ADP
hjic-1077	75	12	thiele	thiele	PROPN
hjic-1077	75	13	modulus	modulus	NOUN
hjic-1077	75	14	(	(	PUNCT
hjic-1077	75	15	that	that	PRON
hjic-1077	75	16	is	be	AUX
hjic-1077	75	17	for	for	ADP
hjic-1077	75	18	most	most	ADJ
hjic-1077	75	19	cases	case	NOUN
hjic-1077	75	20	in	in	ADP
hjic-1077	75	21	practice	practice	NOUN
hjic-1077	75	22	)	)	PUNCT
hjic-1077	75	23	the	the	DET
hjic-1077	75	24	error	error	NOUN
hjic-1077	75	25	is	be	AUX
hjic-1077	75	26	very	very	ADV
hjic-1077	75	27	small	small	ADJ
hjic-1077	75	28	.	.	PUNCT
hjic-1077	76	1	examples	example	NOUN
hjic-1077	76	2	of	of	ADP
hjic-1077	76	3	these	these	DET
hjic-1077	76	4	observations	observation	NOUN
hjic-1077	76	5	are	be	AUX
hjic-1077	76	6	presented	present	VERB
hjic-1077	76	7	in	in	ADP
hjic-1077	76	8	fig.2	fig.2	PROPN
hjic-1077	76	9	and	and	CCONJ
hjic-1077	76	10	in	in	ADP
hjic-1077	76	11	fig.3	fig.3	PROPN
hjic-1077	76	12	.	.	PUNCT
hjic-1077	77	1	it	it	PRON
hjic-1077	77	2	could	could	AUX
hjic-1077	77	3	be	be	AUX
hjic-1077	77	4	expected	expect	VERB
hjic-1077	77	5	that	that	SCONJ
hjic-1077	77	6	the	the	DET
hjic-1077	77	7	dynamic	dynamic	ADJ
hjic-1077	77	8	behaviors	behavior	NOUN
hjic-1077	77	9	of	of	ADP
hjic-1077	77	10	the	the	DET
hjic-1077	77	11	considered	consider	VERB
hjic-1077	77	12	models	model	NOUN
hjic-1077	77	13	are	be	AUX
hjic-1077	77	14	not	not	PART
hjic-1077	77	15	the	the	DET
hjic-1077	77	16	same	same	ADJ
hjic-1077	77	17	.	.	PUNCT
hjic-1077	78	1	taking	take	VERB
hjic-1077	78	2	into	into	ADP
hjic-1077	78	3	account	account	NOUN
hjic-1077	78	4	the	the	DET
hjic-1077	78	5	time	time	NOUN
hjic-1077	78	6	dependence	dependence	NOUN
hjic-1077	78	7	of	of	ADP
hjic-1077	78	8	a	a	DET
hjic-1077	78	9	concentration	concentration	NOUN
hjic-1077	78	10	a	a	DET
hjic-1077	78	11	slightly	slightly	ADV
hjic-1077	78	12	worse	bad	ADJ
hjic-1077	78	13	compatibility	compatibility	NOUN
hjic-1077	78	14	for	for	ADP
hjic-1077	78	15	approximate	approximate	ADJ
hjic-1077	78	16	and	and	CCONJ
hjic-1077	78	17	exact	exact	ADJ
hjic-1077	78	18	models	model	NOUN
hjic-1077	78	19	was	be	AUX
hjic-1077	78	20	observedsee	observedsee	ADJ
hjic-1077	78	21	fig.4	fig.4	PROPN
hjic-1077	78	22	.	.	PUNCT
hjic-1077	79	1	it	it	PRON
hjic-1077	79	2	is	be	AUX
hjic-1077	79	3	qualitative	qualitative	VERB
hjic-1077	79	4	only	only	ADV
hjic-1077	79	5	but	but	CCONJ
hjic-1077	79	6	not	not	PART
hjic-1077	79	7	bad	bad	ADJ
hjic-1077	79	8	.	.	PUNCT
hjic-1077	80	1	the	the	DET
hjic-1077	80	2	models	model	NOUN
hjic-1077	80	3	start	start	VERB
hjic-1077	80	4	from	from	ADP
hjic-1077	80	5	the	the	DET
hjic-1077	80	6	same	same	ADJ
hjic-1077	80	7	initial	initial	ADJ
hjic-1077	80	8	conditions	condition	NOUN
hjic-1077	80	9	so	so	SCONJ
hjic-1077	80	10	that	that	SCONJ
hjic-1077	80	11	differences	difference	NOUN
hjic-1077	80	12	grow	grow	VERB
hjic-1077	80	13	firstly	firstly	ADV
hjic-1077	80	14	for	for	ADP
hjic-1077	80	15	1:<0.3	1:<0.3	NUM
hjic-1077	80	16	(	(	PUNCT
hjic-1077	80	17	near	near	ADP
hjic-1077	80	18	this	this	DET
hjic-1077	80	19	time	time	NOUN
hjic-1077	80	20	the	the	DET
hjic-1077	80	21	maximal	maximal	ADJ
hjic-1077	80	22	deviation	deviation	NOUN
hjic-1077	80	23	between	between	ADP
hjic-1077	80	24	results	result	NOUN
hjic-1077	80	25	is	be	AUX
hjic-1077	80	26	1.0	1.0	NUM
hjic-1077	80	27	0.8	0.8	NUM
hjic-1077	80	28	0	0	NUM
hjic-1077	80	29	s	s	X
hjic-1077	80	30	:	:	PUNCT
hjic-1077	80	31	:	:	PUNCT
hjic-1077	80	32	:	:	PUNCT
hjic-1077	80	33	._g	._g	PROPN
hjic-1077	80	34	0.6	0.6	NUM
hjic-1077	80	35	~	~	PUNCT
hjic-1077	80	36	c	c	X
hjic-1077	80	37	~	~	PUNCT
hjic-1077	80	38	0.4	0.4	NUM
hjic-1077	80	39	c	c	NOUN
hjic-1077	80	40	0	0	NUM
hjic-1077	80	41	0	0	NUM
hjic-1077	80	42	0.2	0.2	NUM
hjic-1077	80	43	-eqs	-eq	NOUN
hjic-1077	80	44	(	(	PUNCT
hjic-1077	80	45	1)-(2	1)-(2	NUM
hjic-1077	80	46	)	)	PUNCT
hjic-1077	80	47	.........	.........	PUNCT
hjic-1077	81	1	eqs	eqs	X
hjic-1077	81	2	(	(	PUNCT
hjic-1077	81	3	6)-(7	6)-(7	NOUN
hjic-1077	81	4	)	)	PUNCT
hjic-1077	81	5	<	<	X
hjic-1077	81	6	!	!	PUNCT
hjic-1077	81	7	>	>	X
hjic-1077	81	8	>	>	PUNCT
hjic-1077	81	9	=	=	SYM
hjic-1077	81	10	5	5	NUM
hjic-1077	81	11	,	,	PUNCT
hjic-1077	81	12	bi>=500	bi>=500	NOUN
hjic-1077	81	13	,	,	PUNCT
hjic-1077	81	14	n=2	n=2	ADV
hjic-1077	81	15	93	93	NUM
hjic-1077	81	16	0.2	0.2	NUM
hjic-1077	81	17	0.4	0.4	NUM
hjic-1077	81	18	0.6	0.6	NUM
hjic-1077	81	19	0.8	0.8	NUM
hjic-1077	81	20	1.0	1.0	NUM
hjic-1077	81	21	reactor	reactor	NOUN
hjic-1077	81	22	length	length	NOUN
hjic-1077	81	23	,	,	PUNCT
hjic-1077	81	24	z	z	PROPN
hjic-1077	81	25	fig.4	fig.4	PRON
hjic-1077	81	26	time	time	NOUN
hjic-1077	81	27	-	-	PUNCT
hjic-1077	81	28	dependence	dependence	NOUN
hjic-1077	81	29	of	of	ADP
hjic-1077	81	30	concentration	concentration	NOUN
hjic-1077	81	31	profiles	profile	NOUN
hjic-1077	81	32	for	for	ADP
hjic-1077	81	33	approximate	approximate	ADJ
hjic-1077	81	34	and	and	CCONJ
hjic-1077	81	35	exact	exact	ADJ
hjic-1077	81	36	models	model	NOUN
hjic-1077	81	37	.	.	PUNCT
hjic-1077	82	1	observed	observe	VERB
hjic-1077	82	2	)	)	PUNCT
hjic-1077	82	3	,	,	PUNCT
hjic-1077	82	4	next	next	ADJ
hjic-1077	82	5	drop	drop	NOUN
hjic-1077	82	6	and	and	CCONJ
hjic-1077	82	7	for	for	ADP
hjic-1077	82	8	a	a	DET
hjic-1077	82	9	sufficiently	sufficiently	ADV
hjic-1077	82	10	long	long	ADJ
hjic-1077	82	11	time	time	NOUN
hjic-1077	82	12	vanish	vanish	VERB
hjic-1077	82	13	(	(	PUNCT
hjic-1077	82	14	here	here	ADV
hjic-1077	82	15	for	for	ADP
hjic-1077	82	16	'	'	PUNCT
hjic-1077	82	17	t~0.6	t~0.6	VERB
hjic-1077	82	18	appropriate	appropriate	ADJ
hjic-1077	82	19	curves	curve	NOUN
hjic-1077	82	20	for	for	ADP
hjic-1077	82	21	both	both	DET
hjic-1077	82	22	models	model	NOUN
hjic-1077	82	23	are	be	AUX
hjic-1077	82	24	the	the	DET
hjic-1077	82	25	same	same	ADJ
hjic-1077	82	26	)	)	PUNCT
hjic-1077	82	27	.	.	PUNCT
hjic-1077	83	1	some	some	DET
hjic-1077	83	2	problems	problem	NOUN
hjic-1077	83	3	cause	cause	VERB
hjic-1077	83	4	the	the	DET
hjic-1077	83	5	defining	defining	NOUN
hjic-1077	83	6	of	of	ADP
hjic-1077	83	7	the	the	DET
hjic-1077	83	8	time	time	NOUN
hjic-1077	83	9	after	after	ADP
hjic-1077	83	10	which	which	PRON
hjic-1077	83	11	both	both	DET
hjic-1077	83	12	considered	consider	VERB
hjic-1077	83	13	models	model	NOUN
hjic-1077	83	14	give	give	VERB
hjic-1077	83	15	the	the	DET
hjic-1077	83	16	same	same	ADJ
hjic-1077	83	17	results	result	NOUN
hjic-1077	83	18	.	.	PUNCT
hjic-1077	84	1	this	this	DET
hjic-1077	84	2	time	time	NOUN
hjic-1077	84	3	depends	depend	VERB
hjic-1077	84	4	on	on	ADP
hjic-1077	84	5	the	the	DET
hjic-1077	84	6	model	model	NOUN
hjic-1077	84	7	parameters	parameter	NOUN
hjic-1077	84	8	values	value	NOUN
hjic-1077	84	9	and	and	CCONJ
hjic-1077	84	10	it	it	PRON
hjic-1077	84	11	is	be	AUX
hjic-1077	84	12	difficult	difficult	ADJ
hjic-1077	84	13	to	to	PART
hjic-1077	84	14	find	find	VERB
hjic-1077	84	15	a	a	DET
hjic-1077	84	16	simple	simple	ADJ
hjic-1077	84	17	relationship	relationship	NOUN
hjic-1077	84	18	to	to	PART
hjic-1077	84	19	define	define	VERB
hjic-1077	84	20	it	it	PRON
hjic-1077	84	21	.	.	PUNCT
hjic-1077	85	1	for	for	ADP
hjic-1077	85	2	practical	practical	ADJ
hjic-1077	85	3	purposes	purpose	NOUN
hjic-1077	85	4	the	the	DET
hjic-1077	85	5	inequality	inequality	NOUN
hjic-1077	85	6	derived	derive	VERB
hjic-1077	85	7	for	for	ADP
hjic-1077	85	8	the	the	DET
hjic-1077	85	9	model	model	NOUN
hjic-1077	85	10	of	of	ADP
hjic-1077	85	11	single	single	ADJ
hjic-1077	85	12	catalyst	catalyst	NOUN
hjic-1077	85	13	pellet	pellet	NOUN
hjic-1077	85	14	with	with	ADP
hjic-1077	85	15	linear	linear	ADJ
hjic-1077	85	16	reaction	reaction	NOUN
hjic-1077	85	17	rate	rate	NOUN
hjic-1077	85	18	(	(	PUNCT
hjic-1077	85	19	given	give	VERB
hjic-1077	85	20	by	by	ADP
hjic-1077	85	21	szukiewicz	szukiewicz	NOUN
hjic-1077	85	22	[	[	X
hjic-1077	85	23	3	3	NUM
hjic-1077	85	24	]	]	PUNCT
hjic-1077	85	25	)	)	PUNCT
hjic-1077	85	26	can	can	AUX
hjic-1077	85	27	be	be	AUX
hjic-1077	85	28	used	use	VERB
hjic-1077	85	29	(	(	PUNCT
hjic-1077	85	30	in	in	ADP
hjic-1077	85	31	modified	modify	VERB
hjic-1077	85	32	form	form	NOUN
hjic-1077	85	33	)	)	PUNCT
hjic-1077	85	34	.	.	PUNCT
hjic-1077	86	1	for	for	ADP
hjic-1077	86	2	tested	test	VERB
hjic-1077	86	3	values	value	NOUN
hjic-1077	86	4	of	of	ADP
hjic-1077	86	5	the	the	DET
hjic-1077	86	6	model	model	NOUN
hjic-1077	86	7	parameters	parameter	NOUN
hjic-1077	86	8	considered	consider	VERB
hjic-1077	86	9	time	time	NOUN
hjic-1077	86	10	was	be	AUX
hjic-1077	86	11	shorter	short	ADJ
hjic-1077	86	12	than	than	ADP
hjic-1077	86	13	'	'	PUNCT
hjic-1077	86	14	ta	ta	X
hjic-1077	86	15	(	(	PUNCT
hjic-1077	86	16	eq	eq	NOUN
hjic-1077	86	17	.	.	PROPN
hjic-1077	86	18	13	13	NUM
hjic-1077	86	19	)	)	PUNCT
hjic-1077	86	20	.	.	PUNCT
hjic-1077	87	1	25	25	NUM
hjic-1077	87	2	"	"	PUNCT
hjic-1077	87	3	(	(	PUNCT
hjic-1077	87	4	=	=	SYM
hjic-1077	87	5	,	,	PUNCT
hjic-1077	87	6	a	a	DET
hjic-1077	87	7	3j	3j	NOUN
hjic-1077	87	8	+	+	ADP
hjic-1077	87	9	$	$	SYM
hjic-1077	87	10	"	"	PUNCT
hjic-1077	87	11	(	(	PUNCT
hjic-1077	87	12	13	13	NUM
hjic-1077	87	13	)	)	PUNCT
hjic-1077	87	14	summarizing	summarizing	NOUN
hjic-1077	87	15	,	,	PUNCT
hjic-1077	87	16	the	the	DET
hjic-1077	87	17	approximate	approximate	ADJ
hjic-1077	87	18	model	model	NOUN
hjic-1077	87	19	evaluates	evaluate	VERB
hjic-1077	87	20	the	the	DET
hjic-1077	87	21	exact	exact	ADJ
hjic-1077	87	22	solution	solution	NOUN
hjic-1077	87	23	well	well	ADV
hjic-1077	87	24	for	for	ADP
hjic-1077	87	25	sufficiently	sufficiently	ADV
hjic-1077	87	26	long	long	ADJ
hjic-1077	87	27	times	time	NOUN
hjic-1077	87	28	,	,	PUNCT
hjic-1077	87	29	which	which	PRON
hjic-1077	87	30	results	result	VERB
hjic-1077	87	31	from	from	ADP
hjic-1077	87	32	the	the	DET
hjic-1077	87	33	way	way	NOUN
hjic-1077	87	34	of	of	ADP
hjic-1077	87	35	calculating	calculate	VERB
hjic-1077	87	36	the	the	DET
hjic-1077	87	37	coefficient	coefficient	NOUN
hjic-1077	87	38	f.	f.	PROPN
hjic-1077	88	1	the	the	DET
hjic-1077	88	2	presented	present	VERB
hjic-1077	88	3	method	method	NOUN
hjic-1077	88	4	of	of	ADP
hjic-1077	88	5	the	the	DET
hjic-1077	88	6	heterogeneous	heterogeneous	ADJ
hjic-1077	88	7	fixed­	fixed­	PROPN
hjic-1077	88	8	bed	bed	NOUN
hjic-1077	88	9	reactor	reactor	NOUN
hjic-1077	88	10	simulation	simulation	NOUN
hjic-1077	88	11	can	can	AUX
hjic-1077	88	12	be	be	AUX
hjic-1077	88	13	recommended	recommend	VERB
hjic-1077	88	14	because	because	SCONJ
hjic-1077	88	15	the	the	DET
hjic-1077	88	16	approximate	approximate	ADJ
hjic-1077	88	17	model	model	NOUN
hjic-1077	88	18	is	be	AUX
hjic-1077	88	19	much	much	ADV
hjic-1077	88	20	more	more	ADV
hjic-1077	88	21	tractable	tractable	ADJ
hjic-1077	88	22	for	for	ADP
hjic-1077	88	23	solution	solution	NOUN
hjic-1077	88	24	than	than	ADP
hjic-1077	88	25	the	the	DET
hjic-1077	88	26	exact	exact	ADJ
hjic-1077	88	27	one	one	NUM
hjic-1077	88	28	.	.	PUNCT
hjic-1077	89	1	we	we	PRON
hjic-1077	89	2	can	can	AUX
hjic-1077	89	3	get	get	VERB
hjic-1077	89	4	great	great	ADJ
hjic-1077	89	5	simplificjtion	simplificjtion	NOUN
hjic-1077	89	6	of	of	ADP
hjic-1077	89	7	the	the	DET
hjic-1077	89	8	analysis	analysis	NOUN
hjic-1077	89	9	of	of	ADP
hjic-1077	89	10	the	the	DET
hjic-1077	89	11	heterogeneous	heterogeneous	ADJ
hjic-1077	89	12	fixed	fix	VERB
hjic-1077	89	13	-	-	PUNCT
hjic-1077	89	14	bed	bed	NOUN
hjic-1077	89	15	rea~.:tor	rea~.:tor	NOUN
hjic-1077	89	16	operation	operation	NOUN
hjic-1077	89	17	condition	condition	NOUN
hjic-1077	89	18	at	at	ADP
hjic-1077	89	19	the	the	DET
hjic-1077	89	20	expense	expense	NOUN
hjic-1077	89	21	of	of	ADP
hjic-1077	89	22	solving	solve	VERB
hjic-1077	89	23	a	a	DET
hjic-1077	89	24	catalyst	catalyst	NOUN
hjic-1077	89	25	pellet	pellet	NOUN
hjic-1077	89	26	model	model	NOUN
hjic-1077	89	27	.	.	PUNCT
hjic-1077	90	1	the	the	DET
hjic-1077	90	2	method	method	NOUN
hjic-1077	90	3	is	be	AUX
hjic-1077	90	4	especially	especially	ADV
hjic-1077	90	5	convenient	convenient	ADJ
hjic-1077	90	6	with	with	ADP
hjic-1077	90	7	regard	regard	NOUN
hjic-1077	90	8	to	to	ADP
hjic-1077	90	9	steady	steady	ADJ
hjic-1077	90	10	-	-	PUNCT
hjic-1077	90	11	state	state	NOUN
hjic-1077	90	12	conditions	condition	NOUN
hjic-1077	90	13	which	which	DET
hjic-1077	90	14	task	task	NOUN
hjic-1077	90	15	is	be	AUX
hjic-1077	90	16	of	of	ADP
hjic-1077	90	17	great	great	ADJ
hjic-1077	90	18	importance	importance	NOUN
hjic-1077	90	19	in	in	ADP
hjic-1077	90	20	practice	practice	NOUN
hjic-1077	90	21	.	.	PUNCT
hjic-1077	91	1	conclusions	conclusion	NOUN
hjic-1077	91	2	the	the	DET
hjic-1077	91	3	approximation	approximation	NOUN
hjic-1077	91	4	of	of	ADP
hjic-1077	91	5	the	the	DET
hjic-1077	91	6	catalyst	catalyst	NOUN
hjic-1077	91	7	pellet	pellet	NOUN
hjic-1077	91	8	by	by	ADP
hjic-1077	91	9	the	the	DET
hjic-1077	91	10	lumped	lump	VERB
hjic-1077	91	11	parameter	parameter	NOUN
hjic-1077	91	12	model	model	NOUN
hjic-1077	91	13	yields	yield	VERB
hjic-1077	91	14	an	an	DET
hjic-1077	91	15	essential	essential	ADJ
hjic-1077	91	16	simplification	simplification	NOUN
hjic-1077	91	17	of	of	ADP
hjic-1077	91	18	analysis	analysis	NOUN
hjic-1077	91	19	and	and	CCONJ
hjic-1077	91	20	computation	computation	NOUN
hjic-1077	91	21	for	for	ADP
hjic-1077	91	22	fixed	fix	VERB
hjic-1077	91	23	-	-	PUNCT
hjic-1077	91	24	bed	bed	NOUN
hjic-1077	91	25	reactors	reactor	NOUN
hjic-1077	91	26	.	.	PUNCT
hjic-1077	92	1	the	the	DET
hjic-1077	92	2	accuracy	accuracy	NOUN
hjic-1077	92	3	of	of	ADP
hjic-1077	92	4	calculations	calculation	NOUN
hjic-1077	92	5	is	be	AUX
hjic-1077	92	6	very	very	ADV
hjic-1077	92	7	good	good	ADJ
hjic-1077	92	8	with	with	ADP
hjic-1077	92	9	respect	respect	NOUN
hjic-1077	92	10	to	to	ADP
hjic-1077	92	11	steady	steady	ADJ
hjic-1077	92	12	state	state	NOUN
hjic-1077	92	13	and	and	CCONJ
hjic-1077	92	14	good	good	ADJ
hjic-1077	92	15	with	with	ADP
hjic-1077	92	16	respect	respect	NOUN
hjic-1077	92	17	to	to	ADP
hjic-1077	92	18	time	time	NOUN
hjic-1077	92	19	-	-	PUNCT
hjic-1077	92	20	dependence	dependence	NOUN
hjic-1077	92	21	of	of	ADP
hjic-1077	92	22	concentration	concentration	NOUN
hjic-1077	92	23	profiles	profile	NOUN
hjic-1077	92	24	.	.	PUNCT
hjic-1077	93	1	for	for	ADP
hjic-1077	93	2	short	short	ADJ
hjic-1077	93	3	times	time	NOUN
hjic-1077	93	4	compatibility	compatibility	NOUN
hjic-1077	93	5	of	of	ADP
hjic-1077	93	6	results	result	NOUN
hjic-1077	93	7	is	be	AUX
hjic-1077	93	8	qualitative	qualitative	VERB
hjic-1077	93	9	only	only	ADV
hjic-1077	93	10	but	but	CCONJ
hjic-1077	93	11	error	error	NOUN
hjic-1077	93	12	quickly	quickly	ADV
hjic-1077	93	13	vanish	vanish	VERB
hjic-1077	93	14	as	as	ADP
hjic-1077	93	15	time	time	NOUN
hjic-1077	93	16	passes	pass	NOUN
hjic-1077	93	17	.	.	PUNCT
hjic-1077	94	1	the	the	DET
hjic-1077	94	2	presented	present	VERB
hjic-1077	94	3	method	method	NOUN
hjic-1077	94	4	has	have	VERB
hjic-1077	94	5	a	a	DET
hjic-1077	94	6	shortcoming	shortcoming	NOUN
hjic-1077	94	7	.	.	PUNCT
hjic-1077	95	1	it	it	PRON
hjic-1077	95	2	is	be	AUX
hjic-1077	95	3	needed	need	VERB
hjic-1077	95	4	to	to	PART
hjic-1077	95	5	sqlve	sqlve	VERB
hjic-1077	95	6	the	the	DET
hjic-1077	95	7	model	model	NOUN
hjic-1077	95	8	of	of	ADP
hjic-1077	95	9	single	single	ADJ
hjic-1077	95	10	catalyst	catalyst	NOUN
hjic-1077	95	11	pellet	pellet	NOUN
hjic-1077	95	12	(	(	PUNCT
hjic-1077	95	13	to	to	PART
hjic-1077	95	14	determine	determine	VERB
hjic-1077	95	15	the	the	DET
hjic-1077	95	16	coefficient	coefficient	NOUN
hjic-1077	95	17	f	f	PROPN
hjic-1077	95	18	\'alue	\'alue	PROPN
hjic-1077	95	19	)	)	PUNCT
hjic-1077	95	20	.	.	PUNCT
hjic-1077	96	1	however	however	ADV
hjic-1077	96	2	this	this	DET
hjic-1077	96	3	problem	problem	NOUN
hjic-1077	96	4	is	be	AUX
hjic-1077	96	5	relatively	relatively	ADV
hjic-1077	96	6	simple	simple	ADJ
hjic-1077	96	7	,	,	PUNCT
hjic-1077	96	8	well	well	ADV
hjic-1077	96	9	reported	report	VERB
hjic-1077	96	10	in	in	ADP
hjic-1077	96	11	literature	literature	NOUN
hjic-1077	96	12	.	.	PUNCT
hjic-1077	97	1	94	94	NUM
hjic-1077	97	2	symbols	symbol	NOUN
hjic-1077	97	3	bim	bim	VERB
hjic-1077	97	4	mass	mass	ADJ
hjic-1077	97	5	biot	biot	NOUN
hjic-1077	97	6	number	number	NOUN
hjic-1077	97	7	c	c	NOUN
hjic-1077	97	8	concentration	concentration	NOUN
hjic-1077	97	9	of	of	ADP
hjic-1077	97	10	a	a	DET
hjic-1077	97	11	reagent	reagent	ADJ
hjic-1077	97	12	cav	cav	NOUN
hjic-1077	97	13	average	average	ADJ
hjic-1077	97	14	concentration	concentration	NOUN
hjic-1077	97	15	of	of	ADP
hjic-1077	97	16	a	a	DET
hjic-1077	97	17	reagent	reagent	NOUN
hjic-1077	97	18	in	in	ADP
hjic-1077	97	19	a	a	DET
hjic-1077	97	20	pellet	pellet	NOUN
hjic-1077	97	21	cb	cb	NOUN
hjic-1077	97	22	bulk	bulk	ADJ
hjic-1077	97	23	concentration	concentration	NOUN
hjic-1077	97	24	of	of	ADP
hjic-1077	97	25	a	a	DET
hjic-1077	97	26	reagent	reagent	ADJ
hjic-1077	97	27	cs	cs	ADJ
hjic-1077	97	28	surface	surface	NOUN
hjic-1077	97	29	concentration	concentration	NOUN
hjic-1077	97	30	of	of	ADP
hjic-1077	97	31	a	a	DET
hjic-1077	97	32	reagent	reagent	ADJ
hjic-1077	97	33	f	f	PROPN
hjic-1077	97	34	coefficient	coefficient	NOUN
hjic-1077	97	35	ra	ra	PROPN
hjic-1077	97	36	dimensionless	dimensionless	NOUN
hjic-1077	97	37	reaction	reaction	NOUN
hjic-1077	97	38	rate	rate	PROPN
hjic-1077	97	39	st	st	PROPN
hjic-1077	97	40	stanton	stanton	PROPN
hjic-1077	97	41	number	number	NOUN
hjic-1077	97	42	x	x	PROPN
hjic-1077	97	43	spatial	spatial	ADJ
hjic-1077	97	44	variable	variable	NOUN
hjic-1077	97	45	in	in	ADP
hjic-1077	97	46	a	a	DET
hjic-1077	97	47	pellet	pellet	NOUN
hjic-1077	97	48	z	z	NOUN
hjic-1077	97	49	spatial	spatial	ADJ
hjic-1077	97	50	variable	variable	NOUN
hjic-1077	97	51	in	in	ADP
hjic-1077	97	52	a	a	DET
hjic-1077	97	53	reactor	reactor	NOUN
hjic-1077	97	54	ee	ee	PROPN
hjic-1077	97	55	bed	bed	NOUN
hjic-1077	97	56	porosity	porosity	NOUN
hjic-1077	97	57	ep	ep	PROPN
hjic-1077	97	58	pellet	pellet	NOUN
hjic-1077	97	59	porosity	porosity	NOUN
hjic-1077	97	60	<	<	X
hjic-1077	97	61	p	p	PROPN
hjic-1077	97	62	thiele	thiele	PROPN
hjic-1077	97	63	modulus	modulus	PROPN
hjic-1077	97	64	t	t	PROPN
hjic-1077	97	65	time	time	NOUN
hjic-1077	97	66	'	'	PUNCT
hjic-1077	97	67	ta	ta	ADP
hjic-1077	97	68	time	time	NOUN
hjic-1077	97	69	after	after	ADP
hjic-1077	97	70	which	which	PRON
hjic-1077	97	71	both	both	DET
hjic-1077	97	72	considered	consider	VERB
hjic-1077	97	73	models	model	NOUN
hjic-1077	97	74	give	give	VERB
hjic-1077	97	75	the	the	DET
hjic-1077	97	76	same	same	ADJ
hjic-1077	97	77	results	result	NOUN
hjic-1077	97	78	references	reference	NOUN
hjic-1077	97	79	1	1	NUM
hjic-1077	97	80	.	.	PUNCT
hjic-1077	98	1	kim	kim	PROPN
hjic-1077	98	2	d.h	d.h	PROPN
hjic-1077	98	3	.	.	PROPN
hjic-1077	98	4	:	:	PUNCT
hjic-1077	99	1	linear	linear	ADJ
hjic-1077	99	2	driving	drive	VERB
hjic-1077	99	3	force	force	NOUN
hjic-1077	99	4	formulas	formula	NOUN
hjic-1077	99	5	for	for	ADP
hjic-1077	99	6	diffusion	diffusion	NOUN
hjic-1077	99	7	and	and	CCONJ
hjic-1077	99	8	reaction	reaction	NOUN
hjic-1077	99	9	in	in	ADP
hjic-1077	99	10	porous	porous	ADJ
hjic-1077	99	11	catalysts	catalyst	NOUN
hjic-1077	99	12	,	,	PUNCT
hjic-1077	99	13	aiche	aiche	PROPN
hjic-1077	99	14	j.	j.	PROPN
hjic-1077	99	15	,	,	PUNCT
hjic-1077	99	16	1989	1989	NUM
hjic-1077	99	17	,	,	PUNCT
hjic-1077	99	18	35	35	NUM
hjic-1077	99	19	,	,	PUNCT
hjic-1077	99	20	343	343	NUM
hjic-1077	99	21	2	2	NUM
hjic-1077	99	22	.	.	PUNCT
hjic-1077	99	23	goto	goto	ADJ
hjic-1077	99	24	m.	m.	NOUN
hjic-1077	99	25	and	and	CCONJ
hjic-1077	99	26	hirose	hirose	PROPN
hjic-1077	99	27	t.	t.	PROPN
hjic-1077	99	28	:	:	PUNCT
hjic-1077	99	29	approximate	approximate	ADJ
hjic-1077	99	30	rate	rate	NOUN
hjic-1077	99	31	equation	equation	NOUN
hjic-1077	99	32	for	for	ADP
hjic-1077	99	33	intraparticle	intraparticle	NOUN
hjic-1077	99	34	diffusion	diffusion	NOUN
hjic-1077	99	35	with	with	ADP
hjic-1077	99	36	or	or	CCONJ
hjic-1077	99	37	without	without	ADP
hjic-1077	99	38	reaction	reaction	NOUN
hjic-1077	99	39	,	,	PUNCT
hjic-1077	99	40	chern	chern	PROPN
hjic-1077	99	41	.	.	PUNCT
hjic-1077	100	1	eng	eng	PROPN
hjic-1077	100	2	.	.	PUNCT
hjic-1077	101	1	sci	sci	PROPN
hjic-1077	101	2	.	.	PROPN
hjic-1077	101	3	,	,	PUNCT
hjic-1077	101	4	1993,48	1993,48	NUM
hjic-1077	101	5	,	,	PUNCT
hjic-1077	101	6	1912	1912	NUM
hjic-1077	101	7	3	3	NUM
hjic-1077	101	8	.	.	X
hjic-1077	101	9	szukiewicz	szukiewicz	PROPN
hjic-1077	101	10	m.	m.	PROPN
hjic-1077	101	11	k.	k.	PROPN
hjic-1077	101	12	:	:	PUNCT
hjic-1077	102	1	new	new	ADJ
hjic-1077	102	2	approximate	approximate	ADJ
hjic-1077	102	3	model	model	NOUN
hjic-1077	102	4	for	for	ADP
hjic-1077	102	5	diffusion	diffusion	NOUN
hjic-1077	102	6	and	and	CCONJ
hjic-1077	102	7	reaction	reaction	NOUN
hjic-1077	102	8	in	in	ADP
hjic-1077	102	9	a	a	DET
hjic-1077	102	10	porous	porous	ADJ
hjic-1077	102	11	catalyst	catalyst	NOUN
hjic-1077	102	12	,	,	PUNCT
hjic-1077	102	13	aiche	aiche	PROPN
hjic-1077	102	14	j.	j.	PROPN
hjic-1077	102	15	,	,	PUNCT
hjic-1077	102	16	2000	2000	NUM
hjic-1077	102	17	,	,	PUNCT
hjic-1077	102	18	46	46	NUM
hjic-1077	102	19	,	,	PUNCT
hjic-1077	102	20	661	661	NUM
hjic-1077	102	21	4	4	NUM
hjic-1077	102	22	.	.	X
hjic-1077	102	23	finlayson	finlayson	PROPN
hjic-1077	102	24	b.	b.	PROPN
hjic-1077	102	25	a.	a.	PROPN
hjic-1077	102	26	:	:	PUNCT
hjic-1077	102	27	nonlinear	nonlinear	VERB
hjic-1077	102	28	analysis	analysis	NOUN
hjic-1077	102	29	in	in	ADP
hjic-1077	102	30	chemical	chemical	ADJ
hjic-1077	102	31	engineering	engineering	NOUN
hjic-1077	102	32	,	,	PUNCT
hjic-1077	102	33	mcgraw	mcgraw	PROPN
hjic-1077	102	34	-	-	PUNCT
hjic-1077	102	35	hill	hill	PROPN
hjic-1077	102	36	inc	inc	PROPN
hjic-1077	102	37	.	.	PROPN
hjic-1077	102	38	,	,	PUNCT
hjic-1077	102	39	new	new	PROPN
hjic-1077	102	40	york	york	PROPN
hjic-1077	102	41	,	,	PUNCT
hjic-1077	102	42	1980	1980	NUM
hjic-1077	102	43	5	5	NUM
hjic-1077	102	44	.	.	PUNCT
hjic-1077	103	1	davis	davis	PROPN
hjic-1077	103	2	m.	m.	PROPN
hjic-1077	103	3	:	:	PUNCT
hjic-1077	103	4	numerical	numerical	ADJ
hjic-1077	103	5	methods	method	NOUN
hjic-1077	103	6	and	and	CCONJ
hjic-1077	103	7	modeling	modeling	NOUN
hjic-1077	103	8	for	for	ADP
hjic-1077	103	9	chemical	chemical	NOUN
hjic-1077	103	10	engineers	engineer	NOUN
hjic-1077	103	11	,	,	PUNCT
hjic-1077	103	12	wiley	wiley	PROPN
hjic-1077	103	13	,	,	PUNCT
hjic-1077	103	14	new	new	PROPN
hjic-1077	103	15	york	york	PROPN
hjic-1077	103	16	,	,	PUNCT
hjic-1077	103	17	1984	1984	NUM
hjic-1077	103	18	page	page	NOUN
hjic-1077	103	19	95	95	NUM
hjic-1077	103	20	page	page	NOUN
hjic-1077	103	21	96	96	NUM
hjic-1077	103	22	page	page	NOUN
hjic-1077	103	23	97	97	NUM
hjic-1077	103	24	page	page	NOUN
hjic-1077	103	25	98	98	NUM