Thermal criticality in viscous reactive flows through channels with a sliding wall: An exploitation of the Hermite–Padé approximation method

In this paper, we study the steady state solutions for viscous reactive flows through channels with a sliding wall. The reaction is assumed to be strongly exothermic under Arrhenius kinetics, neglecting the consumption of the material. Approximate solutions are constructed for the governing nonlinear boundary value problem using regular perturbation techniques together with a special type of Hermite–Padé approximants, and important properties of the temperature field including bifurcations and thermal criticality conditions are discussed.