eprintid: 5793
rev_number: 20
eprint_status: archive
userid: 2043
dir: disk0/00/00/57/93
datestamp: 2011-01-21 12:30:17
lastmod: 2016-04-20 14:30:46
status_changed: 2011-01-21 12:30:17
type: article
metadata_visibility: show
item_issues_count: 0
creators_name: Kapila, A. K.
creators_name: Matkowsky, B. J.
creators_name: Vega de Prada, José Manuel
title: Reactive-diffuse System with Arrhenius Kinetics: Peculiarities of the Spherical Goemetry
ispublished: pub
subjects: matematicas
abstract: The steady reactive-diffusive problem for a non isothermal permeable pellet with first-order Arrhenius kinetics is studied. In the large activation-energy limit, asymptotic solutions are derived for the spherical geometry. The solutions exhibit multiplicity and it is shown that a suitable choice of parameters can lead to an arbitrarily large number of solutions, thereby confirming a conjecture based upon past computational experiments. Explicit analytical expressions are given for the multiplicity bounds (ignition and extinction limits). The asymptotic results compare very well with those obtained numerically, even for moderate values of the activation energy.
date: 1980-06
date_type: published
publisher: Society for Industrial and Applied Mathematics
official_url: http://www.jstor.org/stable/2100650
full_text_status: public
publication: SIAM Journal on Applied Mathematics
volume: 38
number: 3
pagerange: 382-401
institution: Aeronauticos
department: Fundamentos
refereed: TRUE
issn: 0036-1399
rights: by-nc-nd
citation:   Kapila, A. K. and Matkowsky, B. J. and Vega de Prada, José Manuel  (1980).  Reactive-diffuse System with Arrhenius Kinetics: Peculiarities of the Spherical Goemetry.   "SIAM Journal on Applied Mathematics", v. 38  (n. 3);   pp. 382-401.  ISSN 0036-1399.    
document_url: https://oa.upm.es/5793/1/Vega_01.pdf