Stagnation-point flow of a hydromagnetic viscous fluid over stretching/shrinking sheet with generalized slip condition in the presence of homogeneous–heterogeneous reactions

• Diffusion of chemically reactive species is considered by taking homogeneous–heterogeneous reactions.
• The developed model of a homogeneous–heterogeneous reaction in boundary layer flow with equal diffusivities for reactant and autocatalysis.
• The fluid flow is discussed under generalized slip condition with some critical shear rate.
• A simple model for the interaction between a homogeneous (or bulk) and heterogeneous (on sheet) reactions involving the two chemical species A and B in a boundary layer flow.

An analysis is performed to study the effect of homogeneous–heterogeneous reactions on an electrically conducting viscous fluid near the stagnation-point past a permeable stretching/shrinking sheet with uniform suction and generalized slip condition. In this analysis we used the developed model of a homogeneous–heterogeneous reaction in boundary layer flow with equal diffusivities for reactant and autocatalysis. The governing partial differential equations in terms of continuity, momentum and concentration are transformed into ordinary differential equations and then solved numerically using shooting method. The results show that for the shrinking sheet, dual solutions exist in the certain range of involved parameters, while for stretching sheet, the solutions are unique. Comparison of the present results with previously published work is given and found in good agreement.

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