Local Nonlinear Stability of the Steady State in an Isothermal Catalyst

Parra Fabián, Ignacio and Vega de Prada, José Manuel (1988). Local Nonlinear Stability of the Steady State in an Isothermal Catalyst. "SIAM Journal on Applied Mathematics", v. 48 (n. 4); pp. 854-881. ISSN 0036-1399.

Description

Title: Local Nonlinear Stability of the Steady State in an Isothermal Catalyst
Author/s:
  • Parra Fabián, Ignacio
  • Vega de Prada, José Manuel
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Applied Mathematics
Date: August 1988
ISSN: 0036-1399
Volume: 48
Subjects:
Freetext Keywords: nonlinear stability, Hopf bifurcation, isothermal catalysts
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

A first-order, irreversible, exothermic reaction in a bounded porous catalyst is considered, with smooth boundary, of one, two, or three dimensions. For small Prater and Nusselt numbers, ,3 and I>, and a large Sherwood number, o, two isothermal models are derived. An analysis of linear stability of the steady states of such models shows that oscillatory instabilities appear for appropriate values of the Damk6hler number if the nondimensional activation energy is larger than 7* and the Lewis number is sufficiently large, where y* = 4 if m = v/,8o-c 1 and y* = (m + 1)2/ m if m > 1. A local Hopf bifurcation analysis is carried out at neutral stability points in order to ascertain whether such bifurcation is subcritical or supercritical.

More information

Item ID: 2433
DC Identifier: http://oa.upm.es/2433/
OAI Identifier: oai:oa.upm.es:2433
Official URL: http://www.jstor.org/stable/2101551
Deposited by: Memoria de Investigacion 2
Deposited on: 24 Jan 2011 10:12
Last Modified: 20 Apr 2016 12:07
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