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A note on the description of an attached supersonic boundary layer near a point of injection cut-off

Published online by Cambridge University Press:  29 March 2006

A. Amr  and
D. R. Kassoy
A. Amr
Affiliation:
Mechanical Engineering Department, University of Colorado, Boulder
D. R. Kassoy
Affiliation:
Mechanical Engineering Department, University of Colorado, Boulder
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Abstract

Supersonic boundary-layer flow on a flat plate near a point of injection cut-off is considered. The goal is to develop a non-singular solution in the limit of large Reynolds number in the vicinity of the boundary-condition change. An application of Goldstein-type singular solutions shows that an interaction-type theory is required even for transverse velocity jumps on the boundary O(R− ½). The interaction analysis is developed in terms of the linearized triple-deck theory described by Smith & Stewartson (1973a). The analytically derived solution provides a continuous pressure and wall-shear distribution.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 71 , Issue 3 , 14 October 1975 , pp. 455 - 463
Copyright
© 1975 Cambridge University Press

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References

Amr, A. & Kassoy, D. R. 1973 Phys. Fluids, 16, 1579.
Bhown, S. N. & Stewartson, K. 1970 J. Fluid Mech. 42, 561.
Emmons, H. W. & Leigh, D. C. 1954 Aero. Res. Counc. Current Paper 157.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Messiter, A. F. 1970 SIAM J. Appl. Math. 18, 241.
Messiter, A. F. & Hu, J. J. 1975 Quart. Appl. Math. (to appear).
Smith, F. T. 1972 D.Phil. thesis, Oxford University.
Smith, F. T. 1973 J. Fluid Mech. 57, 803.
Smith, F. T. & Stewartson, K. 1973a J. Fluid Mech. 58, 143.
Smith, F. T. & Stewartson, K. 1973b Proc. Roy. Soc. A 332, 1.
Stewartson, K. 1969 Mathematika, 16, 106.
Stewartson, K. 1970a Quart. J. Mech. Appl. Math. 23, 137.
Stewartson, K. 1970b Proc. Roy. Soc. A 319, 289.
Stewartson, K. & Williams, P. G. 1969 Proc. Roy. Soc. A 312, 181.
Wolfram, W. R. & Walker, W. F. 1970 J. Heat Transfer, 92, 385.