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The initial development of a jet caused by fluid, body and free-surface interaction. Part 1. A uniformly accelerating plate

Published online by Cambridge University Press:  26 April 2006

A. C. King  and
D. J. Needham
A. C. King
Affiliation:
Department of Mathematics, University of Keele, Keele, Staffs, UK
D. J. Needham
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
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Abstract

The flow field induced by a vertical plate accelerating into a stationary fluid of finite depth with a free surface and a gravitational restoring force is investigated. This is a model problem for some technologically important design issues such as the bow splash of a ship moving at forward speed. Experimentally it is found that a thin jet forms on the plate and rises rapidly upwards. We investigate this jet in the small-time approximation and find an analytical solution for the flow field in which the jet emerges out of a thin region where the horizontal momentum of the main flow is converted by inertial effects into a rising jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 268 , 10 June 1994 , pp. 89 - 101
Copyright
© 1994 Cambridge University Press

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