Hostname: page-component-6bf8c574d5-685pp Total loading time: 0 Render date: 2025-03-09T22:03:38.673Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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.