Influence of secondary flows on the stability of chemically reacting systems

J. E. Gatica, H. J. Viljoen, Vladimir Hlavacek

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A model is presented for convection and chemical reacton in porous media. An irreversible chemical reaction of arbitrary order is considered. Reactant depletion allows for basic solutions in either the kinetic or the diffusion regime. The cases of forced flow parallel to the lateral walls of the cavity and a closed system are addressed. A linear stability analysis of the basic states is performed and critical values of the thermal Rayleigh number for the onset of natural convection are determined. A dispersion relation is derived and a graphical representation of the linear stability analysis results is provided for typical values of the system parameters. Analytical predictions are verified by results obtained by numerical integration of the complete set of nonlinear partial differential equations. The effect of natural convection is discussed when the basic state is either in the kinetic or in the diffusion regime. For large gradients, associated with the diffusion regime, chemical reaction can drive free convection even for low values of the Rayleigh number. In forced flow systems, natural convection can change substantially the flow pattern of the system.

Original languageEnglish (US)
Pages (from-to)209-222
Number of pages14
JournalAIChE Journal
Volume34
Issue number2
DOIs
StatePublished - Feb 1988

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Convection
Secondary flow
Natural convection
Linear stability analysis
Chemical reactions
Parallel flow
Kinetics
Flow patterns
Partial differential equations
Porous materials
Hot Temperature

ASJC Scopus subject areas

  • Biotechnology
  • Environmental Engineering
  • Chemical Engineering(all)

Cite this

Influence of secondary flows on the stability of chemically reacting systems. / Gatica, J. E.; Viljoen, H. J.; Hlavacek, Vladimir.

In: AIChE Journal, Vol. 34, No. 2, 02.1988, p. 209-222.

Research output: Contribution to journalArticle

Gatica, J. E. ; Viljoen, H. J. ; Hlavacek, Vladimir. / Influence of secondary flows on the stability of chemically reacting systems. In: AIChE Journal. 1988 ; Vol. 34, No. 2. pp. 209-222.
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