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A free boundary problem arising in a model for shallow water entry at small deadrise angles

By Sam Howison and James Oliver

Abstract

A free boundary problem arising in a model for inviscid, incompressible shallow water entry at small deadrise angles is derived and analysed. The relationship between this novel free boundary problem and the well-known viscous squeeze film problem is described. An inverse method is used to construct explicit solutions for certain body profiles and to find criteria under which the splash sheet can `split'. A variational inequality formulation, conservation of certain generalized moments and the Schwarz function formulation are introduced

Topics: Fluid mechanics
Year: 2003
OAI identifier: oai:generic.eprints.org:103/core69

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