Chemical and Biomolecular Engineering Research and Publications
Date of this Version
8-1-1987
Citation
AIChE Journal (August 1987) 33(8)
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 approximate analysis are supported by the numerical integration of the full governing nonlinear equations.
Comments
Copyright © 1987, American Institute of Chemical Engineers. Used by permission