Effect of porous bottom on flexural gravity wave

The present study deals the wave characteristics for flexural gravity wave in the presence of porous bottom. The problem is modelled using the thin elastic plate theory and the wave past permeable bottom based on Sollitt and Cross model. Using the separation of variable method along with the boundary conditions, a complex dispersion relation is derived. Further, the effectiveness of various structural parameters and permeable bed are investigated by computing the results for group and phase velocity. This model would be useful in constructing finite flexible structure as a breakwater in the presence of a porous bed to defend harbours, bays and coasts from surface wave attacks.