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On the calculation of separation bubbles

Published online by Cambridge University Press:  20 April 2006

Tuncer Cebeci  and
Keith Stewartson
Tuncer Cebeci
Affiliation:
Mechanical Engineering Department, California State University, Long Beach
Keith Stewartson
Affiliation:
Department of Mathematics, University College London
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Abstract

The interactive boundary-layer equations for a flat plate are solved numerically when the external velocity field is piecewise linear and would provoke separation if the response of the boundary layer were neglected. A comparable problem had already been solved by Briley using the full Navier–Stokes equations. The equations are solved for various values of the Reynolds number and x0, a parameter defining the corner point of the external velocity. It is found that flows with a limited region of separation can be computed, but that, if x0 is too large, the numerical procedure breaks down. Furthermore, this maximum value is a decreasing function of R and seems to approach the value 0.12 predicted by classical theory as R → ∞. Comparison with Briley's results indicate a reasonable agreement except that different values of x0 are appropriate. It is conjectured that, once x0 increases above the acceptable maximum, rapid changes occur in the flow properties when R is large.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 133 , August 1983 , pp. 287 - 296
Copyright
© 1983 Cambridge University Press

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