Effect of Biot number on thermal criticality in a couette flow

Abstract

This paper studies the effect of Biot number on thermal criticality in a strongly exothermic reaction of a viscous combustible material placed in a channel with lower isothermal fixed wall and upper uniformly moving non-isothermal wall 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. 579-584