Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-06-04T00:10:37.930Z Has data issue: false hasContentIssue false
  • English
  • Français

Some remarks on ‘Perturbation solutions in laminar boundary theory’

Published online by Cambridge University Press:  28 March 2006

Herbert Fox  and
Shun Chen
Herbert Fox
Affiliation:
New York University, Bronx, New York
Shun Chen
Affiliation:
New York University, Bronx, New York
Get access Rights & Permissions [Opens in a new window]

Abstract

A procedure is introduced to extend the usefulness of some perturbation solutions previously presented by Libby & Fox (1963) and Fox & Libby (1964). The perturbations are now formulated about a Blasius solution with an unknown origin. This origin, an additional degree of freedom, is selected, in the spirit of local similarity, so that it will yield a better approximation to the initial profile. With this modification the basic solution will handle a much wider class of problems successfully. Numerical examples are presented to demonstrate the improved accuracy and applicability of this new scheme.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 25 , Issue 1 , May 1966 , pp. 199 - 205
Copyright
© 1966 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

Fox, H. & Libby, P. A. 1964 Some perturbation solutions in laminar boundary layer theory. Part 2. The energy equation. J. Fluid Mech. 19, 433.Google Scholar
Hayes, W. D. & Probstein, R. F. 1959 Hypersonic Flow Theory, Applied Mathematics and Mechanics, vol. 5. New York: Academic Press.
Lees, L. 1956 Laminary heat transfer over blunt-nosed bodies at hypersonic flight speeds. Jet Propulsion, 26, 259.Google Scholar
Libby, P. A. & Fox, H. 1963 Some perturbation solutions in laminar boundary layer theory. Part 1. The momentum equation. J. Fluid Mech. 17, 433.Google Scholar
Low, G. M. 1955 The compressible laminar boundary layer with fluid injection. NACA TN no. 3404.Google Scholar
Pallone, A. 1961 Non-similar solution of the compressible-laminary-boundary-layer equations with application to the upstream-transpiration cooling problem. J. Aero. Sci. 28, 449.Google Scholar