Liquid impact on a permeable solid body

•We investigate hydrodynamics of wave impacts onto permeable solid structures.•We reduce the boundary-value problem analytically to a system of integral equations.•We obtain pressure distributions for various geometries and permeability conditions.•We examine the effect of permeability which magnifies at smaller deadrise angles.

The free surface flow and the hydrodynamic loads generated by impact between a liquid wedge and a permeable solid body are investigated. The study is carried out within the framework of self-similar solution, which is realistic for this kind of configuration and over the short period of impact. We study the effect of liquid penetration through the porous/perforated solid surface on the pressure distribution and flow pattern. An integral hodograph method is employed to convert the differential equation in the fluid domain into integral equations along the axes of a parameter plane, from which the problem corresponding to the impermeable solid surface is a special case. The system of integral equations are solved numerically using the method of successive approximations. Results are presented for streamline patterns and pressure distribution along the solid surface of permeable wedges.