Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-19T02:13:34.322Z Has data issue: false hasContentIssue false
  • English
  • Français

The integration of the two-dimensional laminar boundary-layer equations past the point of vanishing skin friction

Published online by Cambridge University Press:  28 March 2006

D. Catherall  and
K. W. Mangler
D. Catherall
Affiliation:
Aerodynamics Department, Royal Aircraft Establishment, Farnborough, Hants.
K. W. Mangler
Affiliation:
Aerodynamics Department, Royal Aircraft Establishment, Farnborough, Hants.
Get access Rights & Permissions [Opens in a new window]

Abstract

A method is proposed for obtaining regular solutions of the boundary-layer equations near a point of vanishing skin friction for steady incompressible laminar two-dimensional flow. The boundary-layer equations are integrated numerically in the usual way until the separation point is approached; then the displacement thickness is prescribed as a regular function of the distance along the surface, leaving the pressure gradient to be calculated from the consequent solution. Numerical solutions are obtained with reversed flow and shallow separation bubbles inside the boundary layer without the occurrence of a singularity at the separation point.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 26 , Issue 1 , September 1966 , pp. 163 - 182
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

Catherall, D., Stewartson, K. & Williams, P. G. 1965 Proc. Roy. Soc., A 284, 370.
Crank, J. & Nicolson, P. 1947 Proc. Camb. Phil. Soc. 43, 5.
Goldstein, S. 1948 Quart. J. Mech. Appl. Math. 1, 4.
Görtler, H. 1957 J. Math. Mech. 6, 1.
Leigh, D. C. F. 1955 Proc. Camb. Phil. Soc. 51, 32.
Legendre, R. 1955 Comptes Rendus 241, 73.
Smith, A. M. O. & Clutter, D. W. 1962 Douglas Aircraft Co. Inc. Engng Paper, no. 1530.
Stewartson, K. 1958 Quart. J. Mech. Appl. Math. 11, 39.
Terrill, R. M. 1960 Phil. Trans. Roy. Soc., A 253, 55.
Van Dyke, M. D. 1962 J. Fluid Mech. 14, 161, 481.
Van Dyke, M. D. 1964 J. Fluid Mech. 19, 14.