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Damped waves generated by a moving pressure distribution

Published online by Cambridge University Press:  06 August 2001

J. -M. VANDEN-BROECK
J. -M. VANDEN-BROECK
Affiliation:
School of Mathematics, The University of East Anglia, Norwich NR4 7TJ, UK
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Abstract

Free surface flows generated by a moving distribution of pressure are considered. The fluid consists of two superposed layers in a two-dimensional channel. The upper layer is inviscid and the lower layer, which is introduced as a damping mechanism, is modelled by the mathematically convenient lubrication equations. Numerical and analytical solutions are presented. Special attention is given to solutions for which there is a train of waves on each side of the distribution of pressure. It is shown that, depending on the values of the parameters, the short waves can appear on either side of the distribution of pressure.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 12 , Issue 3 , June 2001 , pp. 357 - 366
Copyright
© 2001 Cambridge University Press

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