Stability and Bifurcation Phenomena in Chemical Reactor Theory

Author: Poore, Aubrey Bonner

Year: 1973

Degree: Dissertation (Ph.D.)

Advisor: Cohen, Donald S.

Committee Member: Unknown, Unknown

Option: Applied Mathematics

DOI: 10.7907/Y69M-X355

Abstract

We investigate the nonlinear parabolic equations of chemical tubular reactors. For various ranges of certain physical parameters perturbation procedures are applied to reduce the problem to various questions involving periodicity of solutions of ordinary and partial differential equations, multiplicity of solutions, bifurcation phenomena, existence, and stability of solutions. The main results include an investigation of the implications of the direction and stability of bifurcating branches and the multiplicity of periodic solutions for nonlinear diffusive systems. For the non-adiabatic chemical reactors the response diagrams are given for all relevant ranges of all physical parameters.

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