Multiplicity of Solutions for a Reactive Variable Viscous Couette Flow under Arrhenius Kinetics

Abstract

This paper investigates the properties of solution for a reactive temperature dependent viscous Couette flow through parallel plates with non-uniform temperature. We showed that the problem has two distinct solutions and the solution breaks down for some values of the Frank-kameneskii parameter. Effect of various parameters in the model are presented and discussed.

Keywords: Arrhenius kinetics, Couette flow, variable viscosity, Bratu-type equation