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On effects of increasing amplitude in a boundary-layer spot

Published online by Cambridge University Press:  26 February 2010

B. T. Dodia ,
R. G. A. Bowles  and
F. T. Smith
B. T. Dodia
Affiliation:
Department of Aeronautics, Imperial College, London SW7 2AZ.
R. G. A. Bowles
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT.
F. T. Smith
Affiliation:
Department of Mathematics, University College London, Gower Street, London WC1E 6BT.
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Abstract

The boundary-layer spots involved here come from large-time theory and related computations on the Euler equations to cover the majority of the global properties of the spot disturbances, which are nonlinear, three-dimensional, and transitional rather than turbulent. The amplitude levels investigated are higher than those examined in detail previously and produce a new near-wall momentum contribution in the mean flow, initially close to the wingtips of the spot. This enables the amplitude levels in the analysis to be raised successively, a process which gradually causes the wing-tip region to spread inwards. The process is accompanied by subtle increases in the induced phase variations. Among other things the work finds the details of how nonlinear effects grow from the wing-tips to eventually alter the entire trailing edge, and then the centre of the spot, in a strongly nonlinear fashion. Comparisons with earlier suggestions and with experiments are described at the end.

Type
Research Article
Information
Mathematika , Volume 45 , Issue 1 , June 1998 , pp. 1 - 24
Copyright
Copyright © University College London 1998

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