Summary
A simple generalization of the theory of the compressible boundary layer near an infinite flat plate to the case with suction or blowing out is given if at the timet=0 the plate is set into motion in its own plane with velocityu w ∼t n. The normal velocity at the wall shall vary with time according tov w∼t −1/2. In that case one gets similar boundary layer profiles for allt>0, which can be reduced to the profiles without suction or blowing (v w=0) by a simple parallel displacement and stretching of the coordinates. As an example the Rayleigh boundary layer (n=0,u w=const) is discussed.
Literaturverzeichnis
M. D. van Dyke,Impulsive Motion of an Infinite Plate in a Viscous Compressible Fluid, Z. angew. Math. Phys.3, 343–353 (1952).
H. Schlichting,Grenzschichttheorie, 1. Aufl. (Karlsruhe 1951).
E. Becker,Instationäre Grenzschichten hinter Verdichtungsstössen und Expansionswellen, Z. Flugwissensch.7, 61–73 (1959).
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Becker, E. Eine einfache Verallgemeinerung der Rayleigh-Grenzschicht. Journal of Applied Mathematics and Physics (ZAMP) 11, 146–152 (1960). https://doi.org/10.1007/BF01602927
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DOI: https://doi.org/10.1007/BF01602927