Diffraction of internal waves by a submerged circular cylinder at forward speed in a two-layer fluid

Diffraction of internal waves by a submerged body in a uniform current of a two-layer fluid is considered. The layers are infinitely deep, and the hows are two-dimensional. The linearized potential theory is used for the inviscid and incompressible fluid. The solution for the circular cylinder, which is either below or above the interface, is given in the form of rapidly converging series. This is achieved through the use of certain recursive relations. Numerical results are provided for the exciting forces, wave resistance and lift which may be useful in testing numerical methods used for the study of internal wave diffraction by a submerged body of arbitrary form.