Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-20T04:03:23.554Z Has data issue: false hasContentIssue false

A separated flow in mixed convection

Published online by Cambridge University Press:  29 March 2006

Graham Wilks
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow

Abstract

A numerical solution is presented for the flow of a uniform stream past a semi-infinite heated flat plate at whose surface the heat flux remains constant. The buoyancy forces oppose the free-stream motion and separation occurs. An examination of the singularities in the skin-friction and heat-transfer coefficients suggests, rather surprisingly, a behaviour as (ξs−ξ)⅗ at separation.

Type
Research Article
Copyright
© 1974 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

Brown, S. N. & Stewartson, K. 1969 Laminar separation Ann. Rev. Fluid Mech. 1, 45.Google Scholar
Buckmaster, J. 1970 The behaviour of a laminar compressible boundary layer on a cold wall near a point of zero skin friction J. Fluid Mech. 44, 237.Google Scholar
Buckmaster, J. 1971 Separation and the compressible boundary layer J. Engng Math. 5, 71.Google Scholar
Goldstein, S. 1930 Concerning some solutions of the boundary layer equation in hydrodynamics Proc. Camb. Phil. Soc. 26, 1.Google Scholar
Goldstein, S. 1948 On laminar boundary layer flow near a position of separation Quart. J. Mech. Appl. Math. 1, 43.Google Scholar
Hartree, D. R. 1939 A solution of the laminar boundary layer equation for retarded flow. Aero. Res. Counc. R. & M. no. 2426.Google Scholar
Hartree, D. R. & Womersley, J. R. 1937 A method for the numerical or mechanical solution of certain types of partial differential equations. Proc. Roy. Soc. A 161, 353.Google Scholar
Howarth, L. 1938 On the solution of the laminar boundary layer equations. Proc. Roy. Soc. A 164, 547.Google Scholar
Kaplun, S. 1967 Fluid Mechanics and Singular Perturbation. Academic.
Leigh, D. C. F. 1955 The laminar boundary layer equation: a method of solution by means of an automatic computer. Proc. Camb. Phil. Soc. 51, 320.Google Scholar
Merkin, J. H. 1969 The effect of buoyancy forces on the boundary layer flow over a semi-infinite vertical flat plate in a uniform stream J. Fluid Mech. 35, 439.CrossRefGoogle Scholar
Poots, G. 1960 A solution of the compressible laminar boundary layer equation with heat transfer and adverse pressure gradient Quart. J. Mech. Appl. Math. 13, 57.Google Scholar
Stewartson, K. 1958 On Goldstein's theory of laminar separation Quart. J. Mech. Appl. Math. 11, 399.Google Scholar
Stewartson, K. 1962 The behaviour of a laminar compressible boundary layer near a point zero of skin-friction J. Fluid Mech. 12, 117.Google Scholar
Terrill, R. M. 1960 Laminar boundary layer flow near separation with and without suction. Phil. Trans. Roy. Soc. A 253, 55.Google Scholar