Chemical and Biomolecular Engineering Research and Publications


Date of this Version



This article is the pre-print. Article was originally published in AIChE Journal, August 1987, Vol. 33, No. 8 AlChE Journal.© American Institute of Chemical Engineers.Published version of this article can be viewed at the publisher site( May require subscrption): AIChE Journal or Wiley Interscience


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 govern-ing equations; however, Fourier expansion combined with a Galerkin approximation results in a small s e t 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 sta-bility. The results of the approximate analysis are supported by the numerical integration of the full governing nonlinear equations