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

Author:

Merkin J. H.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference8 articles.

1. Stewartson, K. 1957 On asymptotic expansions in the theory of boundary layers J. Math. Phys. 36,173.

2. Hartree, D. R. 1958 Numerical Analysis ,2nd edition.Oxford University Press.

3. 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.

4. Whitham, G. B. 1963 The Navier-Stokes equations of motion. In Laminar Boundary Layers ,ed. L. Rosenhead .Oxford University Press.

5. Stewartson, K. 1964 The Theory of Laminar Boundary Layers in Compressible Fluids . Oxford Mathematical Monograph.

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