Premixed combustion in laminar couette flow

The flow arising from the injection of reactants through a lower porous wall and from the withdrawal of products through an upper wall which is moving in its plane at arbitrary but steady speed is analyzed. In addition to parameters characterizing the reactants and products a Reynolds number and Mach number identify the flow. The analysis is simplified by assuming that the rate of injection of reactants and the deviation of the Lewis number of the gas from unity are small and that the activation temperature is large. The latter assumption leads to description of chemical kinetic behavior in terms of activation energy asymptotics. Despite the resultant simplifications the parameter space characterizing these flows is found to be large. Representative solutions are given to expose the effect of variations in the Reynolds, Mach and Damkohler numbers.