Thermal ignition in a reactive variable viscosity Poiseuille flow

Abstract

In this paper, we investigate the thermal ignition in a strongly exothermic reaction of a variable viscosity combustible material flowing through a channel with isothermal walls under Arrhenius kinetics, neglecting the consumption of the material. Analytical solutions are constructed for the governing nonlinear boundary-value problem using perturbation technique together with a special type of Hermite-Padé approximants and important properties of the temperature field including bifurcations and thermal criticality are discussed

Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 573-578