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The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(2):213-229; doi:10.1093/qjmam/18.2.213
© 1965 by Oxford University Press
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ON THE DIFFUSION OF SPECIES IN SIMILAR BOUNDARY LAYERS WITH FINITE RECOMBINATION RATE AT THE WALL

N. C. FREEMAN and P. G. SIMPKINS

( Department of Aeronautics, Imperial College London )

The diffusion of species in a frozen boundary layer of the Falkner-Skan type on a surface of constant catalytic efficiency, is treated using Mellin transform techniques. Making Lighthill's assumption that the velocity close to the surface is linear allows a formal solution to the problem to be given in terms of a contour integral. Well known methods are then used to construct series solutions about the leading edge and asymptotic expansions at infinity. The latter are shown to be more general than originally assumed by earlier workers. In the particular case of the flat plate this extension removes previous anomalies and allows a complete expansion to be made.

The solution is shown to satisfy the integral equation deduced by Chambré and Acrivos for the surface concentration in an earlier formulation of the problem.


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