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The behaviour of similar solutions in a compressible boundary layer

Published online by Cambridge University Press:  28 March 2006

J. B. Mcleod  and
J. Serrin
J. B. Mcleod
Affiliation:
Wadham College, Oxford and University of Sussex
J. Serrin
Affiliation:
Wadham College, Oxford and University of Sussex
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Abstract

This paper discusses the mathematical properties of similar solutions of the boundary-layer equations in a compressible model fluid, under assumptions first introduced by Stewartson and by Li & Nagamatsu. Assuming a favourable pressure gradient and that backflow is not present, our results include (among other things) a rigorous proof that velocity overshoot occurs in the boundary layer if the wall is heated, and that this is true whether or not suction, blowing or slipping occurs at the wall; while, conversely, velocity overshoot does not occur when the wall is cooled and the amount of slipping at the wall is suitably restricted.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 2 , 12 November 1968 , pp. 337 - 342
Copyright
© 1968 Cambridge University Press

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References

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