Chemically driven convection in a porous medium

H. Viljoen, V. Hlavacek

Research output: Contribution to journalArticle

34 Scopus citations

Abstract

This paper is focused on the analysis of interaction of free convection and exothermic chemical reaction. As a consequence of the chemical reaction, free convection effects can result. It is difficult to perform an analytical bifurcation analysis of the full nonlinear governing equations; however, Fourier expansion combined with a Galerkin approximation results in a small set of ordinary nonlinear differential equations (initial‐value problem) that are amenable to analysis. Conditions for branching of the solution can be determined in an analytical way. A continuation algorithm makes it possible to calculate the branches of stability. The results of the approximative analysis are supported by the numerical integration of the full governing nonlinear equations.

Original languageEnglish (US)
Pages (from-to)1344-1350
Number of pages7
JournalAIChE Journal
Volume33
Issue number8
DOIs
StatePublished - Aug 1987

ASJC Scopus subject areas

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

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