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Laminar boundary-layer reattachment in supersonic flow. Part 2. Numerical solution

Published online by Cambridge University Press:  19 April 2006

P. G. Daniels
P. G. Daniels
Affiliation:
Department of Mathematics, The City University, St John Street, London EC1V 4PB
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Abstract

A possible model of the flow in the neighbourhood of a point of reattachment of a supersonic laminar boundary layer consists of a three-tiered ‘triple-deck’ structure in which the basic problem reduces to that of solving the incompressible boundary-layer equations in the lower deck, a region of lateral and streamwise extent $O(R^{-\frac{5}{8}})$ and $O(R^{-\frac{3}{8}})$, where R is a representative Reynolds number of the flow (Daniels 1979). The present paper describes a scheme for the numerical solution of this problem which provides evidence in support of the proposed model and quantitative values for the O(R−¼) correction to the base pressure in the flow upstream and the O(R−⅝) correction to the position of reattachment relative to the point of intersection of the incoming shear layer and the wall. An important feature of the scheme is that it copes successfully with a flow which contains substantial reverse velocities.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 97 , Issue 1 , 11 March 1980 , pp. 129 - 144
Copyright
© 1980 Cambridge University Press

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