Some results for the entry of a blunt wedge into water. (English) Zbl 0884.76005

The paper concerns the motion of water, initially at rest in a half-space with horizontal free surface, due to the entry of an infinite wedge moving vertically downwards with constant velocity. The effects of gravity, viscosity and surface tension are neglected. An existence theory proposed by the authors includes explicit solution, for the limiting case of wedge angle \(\pi\), that is surprisingly simple in greatly transformed variables. Iteration yields asymptotic formulae for the motion due to wedges of angle slightly less than \(\pi\).


76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
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