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Three-dimensional oblique water-entry problems at small deadrise angles

Published online by Cambridge University Press:  19 September 2012

Madeleine Rose Moore ,
S. D. Howison ,
J. R. Ockendon  and
J. M. Oliver
Madeleine Rose Moore
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK
S. D. Howison
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK
J. R. Ockendon
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK
J. M. Oliver*
Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles, Oxford OX1 3LB, UK
*
†Email address for correspondence: [email protected]
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Abstract

This paper extends Wagner theory for the ideal, incompressible normal impact of rigid bodies that are nearly parallel to the surface of a liquid half-space. The impactors considered are three-dimensional and have an oblique impact velocity. A formulation in terms of the displacement potential is used to reveal the relationship between the oblique and corresponding normal impact solutions. In the case of axisymmetric impactors, several geometries are considered in which singularities develop in the boundary of the effective wetted region. We present the corresponding pressure profiles and models for the splash sheets.

JFM classification

Wakes/Jets: Jets
Type
Papers
Information
Journal of Fluid Mechanics , Volume 711 , 25 November 2012 , pp. 259 - 280
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

Article last updated 07 March 2023

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