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Flow development in the vicinity of the sharp trailing edge on bodies impulsively set into motion. Part 2

Published online by Cambridge University Press:  20 April 2006

James C. Williams  and
Keith Stewartson
James C. Williams
Affiliation:
Department of Aerospace Engineering, Auburn University, Alabama
Keith Stewartson
Affiliation:
Department of Mathematics, University College London
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Abstract

Recently, Williams (1982) carried out a study of the initial development of the viscous flow in the vicinity of a sharp trailing edge on a symmetrical body impulsively set into motion. The numerical results of that study indicate that, for small or moderate trailing-edge angles, a moving singularity occurs in the solution fairly early in the flow development and that the flow in the vicinity of this singularity exhibits the characteristics of unsteady separation. In the present study, this problem is re-examined with the objective of providing convincing evidence for the existence of such a singularity and describing its structure.

A detailed asymptotic theory is developed for the structure of the boundary-layer solution in the vicinity of the moving singularity. The major features of this theory are then tested by comparison with careful numerical solutions carried as closely as possible to the singularity. The agreement between the asymptotic theory and the numerical integration of a the boundary-layer equations is favourable, and it is concluded that the proposed structure of the singularity is correct for unsteady flow past a sharp trailing edge that is impulsively set into motion.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 131 , June 1983 , pp. 177 - 194
Copyright
© 1983 Cambridge University Press

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