Yu.N.Savchenko, Yu.A.Semenov, Ye.I.Naumova Liquid impact on a permeable surface |
Applied hydromechanics, Vol. 17 (89) ¹ 1, (2015) |
| The free surface flow and the hydrodynamic loads generated by the water impact between a liquid wedge and perforated/porous solid wedge/surface are investigated. The liquid is assumed to be ideal and incompressible; gravity and surface tension effects are ignored. The formulation of the problem also enable to study the problem of a block sliding along an inclined sea bed. The study is carried out within simplified assumptions under which the problem admits a self-similar solution. An integral hodograph method is employed to derive the solution consisting of analytical expressions for the complex-velocity potential, the complex-conjugate velocity, and the mapping function. The original boundary value problem is reduced to a system of integro-differential equations in terms of the velocity magnitude and the velocity angle to the liquid boundary. They are solved numerically using the method of successive approximations. The role played by the permeability and/or speed of the solid surface on the flow configuration, reduction of the pressure distribution on the solid surface are carefully analyzed. |
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KEY WORDS: liquid impact, permeable surface, self-similar flow |
| TEXT LANGUAGE: Russian |