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Compressible laminar boundary-layer flow at a point of attachment

Published online by Cambridge University Press:  28 March 2006

G. Poots
G. Poots
Affiliation:
Department of Theoretical Mechanics, University of Bristol
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Abstract

Howarth's transformation is applied to the compressible laminar boundary-layer equations for the flow at a point of attachment on a general curved surface. It is shown that the boundary-layer equations yield similarity solutions for the case when the viscosity varies linearly with the temperature, the Prandtl number is unity and the surface is maintained at constant temperature. The resulting eighth-order boundary-value problem is solved numerically for various surface temperature conditions and for various values of b/a, where a and b are constants representing the local velocity gradients in the principal directions of flow at the edge of the boundary layer.

Flow and heat transfer properties of the similar solutions at both nodal and saddle-points of attachment are given in graphical and tabular form.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 1 , May 1965 , pp. 197 - 208
Copyright
© 1965 Cambridge University Press

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References

Cohen, C. B. & Reshotko, E. 1955 N.A.C.A., T.N. 3325.
Crocco, L. 1946 Monograf. Sci. Aeronaut. no. 3.
Davey, A. 1961 J. Fluid Mech. 10, 593.
Howarth, L. 1948 Proc. Roy. Soc. A, 194, 16.
Howarth, L. 1951 Phil. Mag. 42, 1422.
Moore, F. K. 1951 N.A.C.A., T.N. 2279.
Stewartson, K. 1964 The Theory of Laminar Boundary-Layers in Compressible Fluids. Oxford: Clarendon Press.
Supplementary material: PDF

Poots supplementary material

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