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Incompressible water-entry problems at small deadrise angles

Published online by Cambridge University Press:  26 April 2006

S. D. Howison ,
J. R. Ockendon  and
S. K. Wilson
S. D. Howison
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, UK
J. R. Ockendon
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB, UK
S. K. Wilson
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich NR4 7TJ, UK
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Abstract

This paper summarizes and extends some mathematical results for a model for a class of water-entry problems characterized by the geometrical property that the impacting body is nearly parallel to the undisturbed water surface and that the impact is so rapid that gravity can be neglected. Explicit solutions for the pressure distributions are given in the case of two-dimensional flow and a variational formulation is described which provides a simple numerical algorithm for three-dimensional flows. We also pose some open questions concerning the well-posedness and physical relevance of the model for exit problems or when there is an air gap between the impacting body and the water.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 222 , January 1991 , pp. 215 - 230
Copyright
© 1991 Cambridge University Press

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