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On the interaction between shock waves and boundary layers

Published online by Cambridge University Press:  24 October 2008

K. Stewartson
Affiliation:
Department of MathematicsThe Royal FortBristol 8

Abstract

The effect on the boundary-layer equations of a weak shock wave of strength ∈ has been investigated, and it is shown that if R is the Reynolds number of the boundary layer, separation occurs when ∈ = o(Ri). The boundary-layer assumptions are then investigated and shown to be consistent. It is inferred that separation will occur if a shock wave meets a boundary and the above condition is satisfied.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Liepmann, H. W.J. Aeronaut. Sci. 13 (1946), 62.CrossRefGoogle Scholar
(2)Ackeret, J., Feldmann, F. and Rott, N.Nat. Adv. Comm. Aero. Tech. Mem. 1113.Google Scholar
(3)Barry, F. W., Shapiro, A. H. and Neumann, E. P.J. Appl. Mech. 17 (1950), 126.CrossRefGoogle Scholar
(4)Howarth, L.Proc. Cambridge Phil. Soc. 44 (1948), 380.CrossRefGoogle Scholar
(5)Stewartson, K.Proc. Roy. Soc. A, 200 (1949), 84.Google Scholar
(6)Taylor, G. I.Aerodynamic theory (edited by Durand, W. F.) 3 (Berlin: Springer, 1935), 219.Google Scholar
(7)Hartree, D. R.Proc. Cambridge Phil. Soc. 33 (1937), 223.CrossRefGoogle Scholar
(8)Meksyn, D.Proc. Roy. Soc. A, 192 (19471948), 567.Google Scholar
(9)Lighthill, M. J.Quart. J. Mech. Appl. Math. 3 (1950), 303.CrossRefGoogle Scholar