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A simple model for homogeneous-heterogeneous reactions in stagnation-point boundary-layer flow is constructed in which the homogeneous (bulk) reaction is assumed to be given by isothermal cubic autocatalator kinetics and the heterogeneous (surface) reaction by first order kinetics. The possible steady states of this system are analysed in detail in the case when the diffusion coefficients of both reactant and autocatalyst are equal. Hysteresis bifurcations leading to multiple solutions are found. The temporal stability of these steady states is then discussed.

A simple model for homogeneous-heterogeneous reactions in stagnation-point boundary-layer flow, derived in a previous paper, is discussed in the case when the diffusion coefficients of the reactant and autocatalyst are different, characterized by the dimensionless parameter δ. The steady states of this system show the possibility of multiple solution branches through hysteresis bifurcations, the details of which are examined. Solutions valid for large and small of δ are obtained, and it is shown that, for large δ, it is the surface reaction which is the dominant effect, whereas for small values of δ, the homogeneous reaction becomes the most important mechanism.