ON THE NONLINEAR STABILITY OF A BINARY MIXTURE WITH CHEMICAL SURFACE REACTIONS

In this work we consider the non linear stability of a chemicalequilibrium of a thermally conducting two component reactive viscousmixture which is situated in a horizontal layer heated from belowand experiencing a catalyzed chemical reaction at the bottom plate.The evolution equation for the perturbation energy is deduced withan approach which generalizes the Joseph’s parametric differentiationmethod. Moreover, the nonlinear stability bound for the chemical equilibrium of the fluid mixture is derived in terms of thermal and concentrational non dimensional numbers.