Reactive-diffuse System with Arrhenius Kinetics: Peculiarities of the Spherical Goemetry

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.

Description

Title: Reactive-diffuse System with Arrhenius Kinetics: Peculiarities of the Spherical Goemetry
Author/s:
  • Kapila, A. K.
  • Matkowsky, B. J.
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Applied Mathematics
Date: June 1980
ISSN: 0036-1399
Volume: 38
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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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.

More information

Item ID: 5793
DC Identifier: http://oa.upm.es/5793/
OAI Identifier: oai:oa.upm.es:5793
Official URL: http://www.jstor.org/stable/2100650
Deposited by: Memoria de Investigacion 2
Deposited on: 21 Jan 2011 12:30
Last Modified: 20 Apr 2016 14:30
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