Wave loading on concentric porous cylinders with varying porosity

Abstract

Wave diffraction of two concentric porous cylinders with varying porosity was studied by using an analytical method based on eigenfunction matching. The fluid domain around the cylinders is divided into three sub-domains and in each sub-domain an eigenfunction expansion of the velocity potential is obtained by satisfying the Laplace equation, the boundary conditions on the free surface and on the sea bed. The unknown coefficients of eigenfunction expansions are determined by boundary conditions on the porous hulls. In the paper, the boundary conditions are based upon the assumption that the flow in the porous medium is governed by Darcy’s law. Two porous-effect parameters applied on two porous cylinders are functions of the vertical coordinate instead of the constant. Wave loading on the outer and inner cylinder is presented in the numerical results.

Keywords

concentric porous cylinders / wave loading / diffraction / eigenfunction / varying porosity / porous-effect parameter / wave force