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Plate-injection into a separated supersonic boundary layer. Part 2. The transition regions

Published online by Cambridge University Press:  29 March 2006

K. Stewartson
Affiliation:
Department of Aeronautical and Astronautical Engineering, The Ohio State University, Columbus
Permanent address: Department of Mathematics, University College, London.

Abstract

The model proposed by Smith & Stewartson (1973), to describe the separated boundary layer induced by strong injection over a finite length of a flat plate in a supersonic mainstream, is shown to provide the basis for a fully consistent solution of the Navier–Stokes equations for this problem, valid in the limit of infinite Reynolds number. The solution takes the form of asymptotic expansions in each of a large number of overlapping regions of the flow field, which are consistently matched across areas of common validity.

Type
Research Article
Copyright
© 1974 Cambridge University Press

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References

Brown, S. N. & Stewartson, K. 1965 J. Fluid Mech. 23, 673.
Chapman, D. R. 1950 N.A.C.A. Rep. no. 958.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Lighthill, M. J. 1953 Proc. Roy. Soc. A, 217, 478.
Messiter, A. F. 1970 S.I.A.M. J Appl. Math. 18, 241.
Neiland, V. Y. 1969 Mekh. Zh. i Gaza, no. 4.
Neiland, V. Y. 1971 Mekh. Zh. i. Gaza, no. 3, p. 19.
Smith, F. T. (1974) J. Inst. Math. Applics. to be published.
Smith, F. T. & Stewartson, K. 1973 J. Fluid Mech. 58, 143.
Stewartson, K. 1969 Mathematika, 16, 106.
Stewartson, K. 1974 Adv. in Appl. Mech. 14, to be published.
Stewartson, K. & Williams, P. G. 1969 Proc. Roy. Soc. A, 312, 181.
Stewartson, K. & Williams, P. G. 1973 Mathematika, 20, 98.
Van De Vooren, A. I. & Dijkstra, D. 1970 J. Engng Math. 4, 9.
Williams, P. G. 1974 In preparation.