Scattering of water waves by an inclined plate in a two-layer fluid

The problem of water wave scattering by an inclined thin plate submerged in the lower layer of a two-layer fluid is examined here using linear theory. In a two-layer fluid, corresponding to a particular frequency wave propagates with two different wavenumbers. Thus we determine the reflection and the transmission coefficients and the hydrodynamic force for both the wavenumbers. This leads to two separate problems. These problems are solved using a hypersingular integral equation method. Several numerical results for the physical quantities varying the inclination, depth and length of the plate are presented. Making suitable adjustment of the parameters published results for a vertical plate submerged in a single layer fluid are recovered.