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A three-dimensional laminar boundary-layer calculation

Published online by Cambridge University Press:  28 March 2006

W. H. H. Banks
W. H. H. Banks
Affiliation:
Mathematics Department, University of Bristol
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Abstract

Results are presented of a preliminary numerical investigation into a three-dimensional laminar boundary layer. It is assumed that the flow is over a developable surface and the boundary conditions at the outer edge of the layer are chosen to be u = U0 + xU1, v = yV1. This choice enables the governing equations to be written in terms of two, and not three, independent variables, viz. x and z. However, the three-dimensionality of the problem gives rise to a coupling of the equations which, not unnaturally, is still present after the elimination of y.

For appropriate values of U1 and V1 it is found possible to integrate the equations approximately from the ‘birth’ of the boundary layer (x = 0) right up to a saddle point of attachment. Calculations have already been made for flow at such attachment points and the comparison of the present results with them is extremely good.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 28 , Issue 4 , 22 June 1967 , pp. 769 - 792
Copyright
© 1967 Cambridge University Press

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