Bifurcation analysis of chemically driven convection

Hendrik J. Viljoen, Jorge E. Gatica, Hlavacek Vladimir

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

The problem of the progress of an exothermic chemical reaction under conditions apt for the onset of natural convection is considered. The governing partial differential equations are reduced to a set of ordinary differential equations by using a variational approach and a simplified model is obtained. Bifurcation diagrams of the simplified model are presented for various values of the Rayleigh number. Substantial changes in the topology of the solutions space are predicted by the non-linear stability analysis. Qualitatively agreement between predictions and numerical results confirms the validity of the simplified model to represent the behavior of the original equations. Numerical solutions of the full governing equations serve to illustrate the effects of natural convection phenomena in systems with chemical reaction.

Original languageEnglish (US)
Pages (from-to)503-517
Number of pages15
JournalChemical Engineering Science
Volume45
Issue number2
DOIs
StatePublished - 1990

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Natural convection
Chemical reactions
Ordinary differential equations
Partial differential equations
Topology
Convection

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Cite this

Bifurcation analysis of chemically driven convection. / Viljoen, Hendrik J.; Gatica, Jorge E.; Vladimir, Hlavacek.

In: Chemical Engineering Science, Vol. 45, No. 2, 1990, p. 503-517.

Research output: Contribution to journalArticle

Viljoen, Hendrik J. ; Gatica, Jorge E. ; Vladimir, Hlavacek. / Bifurcation analysis of chemically driven convection. In: Chemical Engineering Science. 1990 ; Vol. 45, No. 2. pp. 503-517.
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