title: Reactive-diffuse System with Arrhenius Kinetics: Peculiarities of the Spherical Goemetry
creator: Kapila, A. K.
creator: Matkowsky, B. J.
creator: Vega de Prada, José Manuel
subject: Mathematics
description: 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.
publisher: E.T.S.I. Aeronáuticos (UPM)
rights: https://creativecommons.org/licenses/by-nc-nd/3.0/es/
date: 1980-06
type: info:eu-repo/semantics/article
type: Article
source: SIAM Journal on Applied Mathematics, ISSN 0036-1399, 1980-06, Vol. 38, No. 3
type: PeerReviewed
format: application/pdf
language: eng
relation: http://www.jstor.org/stable/2100650
rights: info:eu-repo/semantics/openAccess
identifier: https://oa.upm.es/5793/