Mathematical Proceedings of the Cambridge Philosophical Society · 1973 · 12 citations · 4 references
Natural SciencesMathematicsFluid DynamicsFluid MechanicsHydraulic EngineeringContact AngleFree-surface FlowDeep Water EntryEntry AngleFree Surface ModelingFree-surface HydrodynamicsLagrangian TransportWater Entry Mechanics
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.
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