Hostname: page-component-7479d7b7d-qlrfm Total loading time: 0 Render date: 2024-07-14T04:14:59.948Z Has data issue: false hasContentIssue false

On similarity solutions of the boundary-layer equations with algebraic decay

Published online by Cambridge University Press:  28 March 2006

S. N. Brown
Affiliation:
Department of Mathematics, University College, London, W.C. 1
K. Stewartson
Affiliation:
Department of Mathematics, University College, London, W.C. 1

Abstract

Similarity solutions in which the vorticity decays algebraically towards the outer limit of the viscous layer are shown to be possible limit solutions of the full boundary-layer equations with exponential decay. The discussion is illustrated by consideration of a mainstream applicable to viscous flow in a cone.

Type
Research Article
Copyright
© 1965 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

Ackerberg, R. C. 1965 J. Fluid Mech. 21, 47.
Falkner, V. M. & Skan, S. W. 1930 Aero. Res. Comm. R & M no. 1314.
Goldstein, S. 1939 Proc. Camb. Phil. Soc. 35, 338.
Goldstein, S. 1965 J. Fluid Mech. 21, 33.
Görtler, H. 1955 Tables of universal functions of the new series. Math. Inst. Univ. Freiburg.
Görtler, H. 1957 J. Math. Mech. 6, 1.
Hartree, D. R. 1937 Proc. Camb. Phil. Soc. 33, 223.
Rosenhead, L. 1963 Laminar Boundary Layers. Oxford University Press.
Schlichting, H. 1960 Boundary Layer Theory. New York: McGraw-Hill.
Stewartson, K. 1954 Proc. Camb. Phil. Soc. 50, 454.