Fredholm integral equation technique for hydroelastic analysis of a floating flexible porous plate

Oblique surface gravity wave scattering by a floating flexible porous plate is investigated in water of finite and infinite depths under the assumption of small amplitude water wave theory and structural response. Using the Greens function technique, the boundary value problems are converted into a system of Fredholm type integral equations in terms of the velocity potentials and their normal derivatives along the plates which are handled for solutions using Simpsons quadrature formula. Energy relations are derived to check the accuracy of the computed results. Various results of physical interests are computed and analyzed to study the roles of structural flexibility and porosity, wave period and angle of incidence on wave scattering by the plate. Certain results are analyzed to study the effect of edge conditions on the scattering of surface waves by the flexible porous plate. It is observed that depending on the heading angle of the incident waves, with suitable positioning of the plate, tranquility zone can be created by a flexible floating plate. Moreover, the study reveals that a major part of the wave energy can be dissipated with the introduction of structural porosity which will be of immense help in the creation of a tranquility zone for the protection of various marine facilities and infrastructures.