Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-10T07:36:42.884Z Has data issue: false hasContentIssue false
  • English
  • Français

Incompressible slip flow past a semi-infinite flat plate

Published online by Cambridge University Press:  28 March 2006

J. D. Murray
J. D. Murray
Affiliation:
Department of Engineering Mechanics, University of Michigan
Get access Rights & Permissions [Opens in a new window]

Abstract

An asymptotic solution to the Navier-Stokes equation is obtained for the incompressible flow of a viscous fluid past a semi-infinite flat plate when a slip boundary condition is applied at the plate. The results for the shear stress (and hence the slip velocity) on the plate differ basically from those obtained by previous authors who considered the same problem using some form of the Oseen equations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 3 , July 1965 , pp. 463 - 469
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

Bell, S., 1955 Studies of boundary-layer slip solutions and Alden's method for boundary-layer correction. Univ. of California, Inst. Engng Res. Report no. He-150-133.Google Scholar
Goldstein, S., 1956 Flow of an incompressible viscous fluid along a semi-infinite flat plate. Univ. of California, Inst. Engng Res. Report no. He-150-144.Google Scholar
Goldstein, S., 1960 Lectures on Fluid Mechanics. New York: Interscience.
Kaplun, S., 1954 Role of co-ordinate systems in boundary-layer theory. Z. angew. Math. Phys. 5, 111.Google Scholar
Laurmann, J. A., 1961 Linearized slip flow past a semi-infinite flat plate. J. Fluid Mech. 11, 82.Google Scholar
Mirels, H., 1952 Estimate of slip effects on compressible laminar boundary-layer skin friction. NACA TN no. 2609.Google Scholar
Murray, J. D., 1965 Incompressible viscous flow past a semi-infinite flat plate. J. Fluid Mech. 21, 337.Google Scholar