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Methods of Solving Nonlinear Problems of Hydrodynamic Impact in Bounded Regions

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Abstract

The plane problem of separation impact on a plate floating on the surface of an ideal incompressible fluid in a bounded vessel is considered. In this problem the zone of contact between the body and the fluid is not known in advance and must be determined together with the fluid flow. As a result, the problem formulated is nonlinear and belongs to the class of free-boundary problems. The effect of vessel walls of different shapes on the fluid particle separation zone formed on the plate surface is studied. As examples, the problems for a layer or a truncated circular meniscus are considered.

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  1. M. V. Norkin
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__________

Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, 2005, pp. 138–150.

Original Russian Text Copyright © 2005 by Norkin.

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Norkin, M.V. Methods of Solving Nonlinear Problems of Hydrodynamic Impact in Bounded Regions. Fluid Dyn 40, 623–634 (2005). https://doi.org/10.1007/s10697-005-0101-9

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  • DOI: https://doi.org/10.1007/s10697-005-0101-9

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