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The use of Lagrangian coordinates in the water entry and related problems

Published online by Cambridge University Press:  24 October 2008

Eveline A. Johnstone  and
A. G. Mackie
Eveline A. Johnstone
Affiliation:
Applied Mathematics, University of Edinburgh
A. G. Mackie
Affiliation:
Applied Mathematics, University of Edinburgh
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Abstract

Lagrangian coordinates are used in conjunction with the self-similarity hypothesis in order to examine the problem of the vertical entry at constant speed of a wedge and also of a cone into an incompressible fluid initially at rest. Certain known properties of the free surface are recovered in a very direct and simple manner and new exact results concerning the inclination of the free surface and the angle of contact with the rigid surface are obtained.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 3 , November 1973 , pp. 529 - 538
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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