Hostname: page-component-f554764f5-sl7kg Total loading time: 0 Render date: 2025-04-12T04:25:48.227Z Has data issue: false hasContentIssue false
  • English
  • Français

21.—On Expansive Free Interactions in Boundary Layers

Published online by Cambridge University Press:  14 February 2012

S. N. Brown ,
K. Stewartson ,
P. G. Williams  and
W. D. Collins
S. N. Brown
Affiliation:
Department of Mathematics, University College, London
K. Stewartson
Affiliation:
Department of Mathematics, University College, London
P. G. Williams
Affiliation:
Department of Mathematics, University College, London
Get access Rights & Permissions [Opens in a new window]

Synopsis

When a Mach number dependent parameter σ ≠ 0 is accounted forin an expansive free interaction analogous to that of Stewartson [7], the solution terminates in a singularity with a finite pressure, but with a pressure gradient varying as the inverse three-fifths power of the distance from the singularity, apart from a subtle logarithmic modification.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 74 , 1976 , pp. 271 - 283
Copyright
Copyright © Royal Society of Edinburgh 1976

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.)

Article purchase

Temporarily unavailable

References

1Ackerberg, R. C.. Boundary-layer separation at a free streamline, Part 1, Two-dimensional flow. J. Fluid Mech. 44 (1970), 211–225.CrossRefGoogle Scholar
2Brown, S. N. and Stewartson, K.. On similarity solutions of the boundary-layer equations with algebraic decay. J. Fluid Mech. 23 (1965), 673–687.CrossRefGoogle Scholar
3Brown, S. N., Stewartson, K. and Williams, P. G.. Hypersonic self-induced separation. Phys. Fluids 18 (1975), 633–639.CrossRefGoogle Scholar
4Goldstein, S.. On backward boundary layers and flow in converging passages. J. Fluid Mech. 21 (1965), 33–45.CrossRefGoogle Scholar
5Lighthill, M. J.. On boundary layers and upstream influence. I. A comparison between subsonic and supersonic flows. Proc. Roy. Soc. London Ser. A 217 (1953), 478–507.Google Scholar
6McLeod, J. B.. The existence and uniqueness of a similarity solution arising from separation at a free streamline. Quart. J. Math. Oxford Ser. 23 (1972), 63–77.CrossRefGoogle Scholar
7Stewartson, K.. On supersonic laminar boundary layers near convex corners.Proc. Roy. Soc London Ser. A 319 (1970), 289–305.Google Scholar
8Stewartson, K.. Multi-structured boundary layers on flat plates and related bodies. Advances in Appl. Mech. 14 (1974), 146–239.Google Scholar
9Stewartson, K. and Williams, P. G.. Self-induced separation. Proc. Roy. Soc. London Ser. A 312 (1969), 181–206.Google Scholar