Chemical and Biomolecular Engineering Research and Publications
Date of this Version
August 1987
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 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
Comments
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