Analytical study for oblique wave interaction with a submerged horizontal perforated plate near a partially reflecting vertical wall

Abstract

A novel iterative analytical solution is developed to study the oblique wave interaction with a horizontally submerged perforated plate near a partially reflecting vertical wall. The boundary condition on the perforated plate is considered as a quadratic pressure drop to incorporate the effect of wave height on the wave energy dissipation. The boundary value problem is analyzed analytically under the assumptions of small amplitude wave theory. To validate the analytical model, an iterative solution based on MBEM (multi-domain boundary element method) is independently developed, and the comparison between the analytical solution and the experimental data are given. The performance characteristics of a submerged perforated plate before a partially reflecting vertical wall is studied by analyzing the hydrodynamic coefficients of the system for the effects of plate porosity, relative plate width, spacing, depth of submergence, and the direction of wave attack. The proposed model is expected to act as an effective breakwater in the attenuation of wave energy for the creation of a tranquillity zone in the marine environment. Moreover, the analytical model developed in the present study can be effective and reliable for practical preliminary design.