Oblique wave scattering by horizontal floating flexible porous membrane

The present study deals with the oblique wave scattering by a floating flexible porous membrane under the assumptions of small amplitude water wave theory and membrane response in both the cases of finite and infinite water depths. Using the Green’s function technique, the boundary value problems are converted into pairs of Fredholm integral equations in terms of the velocity potentials and their normal derivatives along the membrane. Using Simpson’s quadrature formula, various integrals are evaluated and the system of integral equations are reduced to a system of linear algebraic equations which are solved to find various physical quantities of interests. Energy balance relations are derived and used to check the accuracy of the computational results. Several results of physical interests are computed and analyzed to study the effects of various wave and structural parameters. The present study will be of immense importance in creating tranquility zone for protecting coastal infrastructures through the use of floating flexible porous membrane. The concept and methodology can be used to deal with wave-structure interaction problems in related branches of mathematical physics and engineering.