Scattering of water waves by an inclined porous plate submerged in ocean with ice cover

In the present article, we have studied the problem of scattering of water waves by a porous plate submerged in the ocean and inclined at an angle to the vertical. The problem is formulated in terms of a hypersingular integral equation of the second kind. The hypersingular integral equation is then solved by a collocation method by representing the unknown function using Tchebychev polynomials. The reflection and transmission coefficients are then obtained and presented graphically. It is observed that porosity of the plate dissipates the wave energy and thereby reduces the reflection and transmission of wave energy. However, it is found that the presence of ice cover reduces the dissipation of energy and also the reflection of wave energy and thereby increases the transmission of wave energy. Also, the increase in angle of inclination of porous plate reduces the energy dissipation as well as the reflection of waves.