Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-04T20:27:45.662Z Has data issue: false hasContentIssue false
  • English
  • Français

The effect of buoyancy forces on the boundary-layer flow over a semi-infinite vertical flat plate in a uniform free stream

Published online by Cambridge University Press:  28 March 2006

J. H. Merkin
J. H. Merkin
Affiliation:
Department of Mathematics, The University of Manchester
Get access Rights & Permissions [Opens in a new window]

Abstract

The boundary-layer flow over a semi-infinite vertical flat plate, heated to a constant temperature in a uniform free stream, is discussed in the two cases when the buoyancy forces aid and oppose the development of the boundary layer. In the former case, two series solutions are obtained, one of which is valid near the leading edge and the other is valid asymptotically. An accurate numerical method is used to describe the flow in the region where the series are not valid. In the latter case, a series, valid near the leading edge is obtained and it is extended by a numerical method to the point where the boundary layer is shown to separate.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 3 , 20 February 1969 , pp. 439 - 450
Copyright
© 1969 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

Hartree, D. R. 1958 Numerical Analysis, 2nd edition. Oxford University Press.
Ostrach, S. 1953 An analysis of laminar free-convection flow and heat transfer about a flat plate parallel to the direction of the generating body force. N.A.C.A. Rep. 111.Google Scholar
Stewartson, K. 1957 On asymptotic expansions in the theory of boundary layers J. Math. Phys. 36, 173.Google Scholar
Stewartson, K. 1962 The behaviour of a laminar compressible boundary layer near a point of zero skin-friction J. Fluid Mech. 12, 117.Google Scholar
Stewartson, K. 1964 The Theory of Laminar Boundary Layers in Compressible Fluids. Oxford Mathematical Monograph.
Szewczyk, A. A. 1964 Combined forced and free-convection laminar flow Trans. A.S.M.E. J. Heat Transfer, 86, 501.Google Scholar
Terrill, R. M. 1960 Laminar boundary layer flow near separation with and without suction. Phil. Trans. A 253, 55.Google Scholar
Whitham, G. B. 1963 The Navier-Stokes equations of motion. In Laminar Boundary Layers, ed. L. Rosenhead. Oxford University Press.
Supplementary material: PDF

Merkin supplementary material

Tables A-B

Download Merkin supplementary material(PDF)
PDF 484.7 KB