Thermal ignition in a reactive viscous plane-Poiseuille flow: a bifurcation study

Oluvole D. Makinde

Oluvole D. Makinde University of the Limpopo

Abstract

Thermal ignition for a reactive viscous flow between two symmetrically heated walls is investigated. The second order nonlinear boundary value problem governing the problem is obtained and solved analytically using a special type of Hermite-Padé approximation technique. We obtained very accurately the critical conditions for thermal ignition together with the two solution branches. It has been observed that an increase in viscous heating due to viscous dissipation can cause a rapid decrease in the magnitude of thermal ignition critical conditions.

Keywords

plane-Poiseuille flow, Hermite-Padé approximants, thermal ignition,

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