Drag increment of internal waves generated by horizontally moving spheroid in supercritical regime

Abstract

A theory on the drag increment of internal waves with a spheroid moving horizontally at a high velocity (or for large internal Froude number) in uniformly vertically stratified fluid (or ocean) is presented in the present paper. A surface source distribution is employed to model a hydrodynamic interaction between the spheroid and the stratified fluid. From theoretical results, it is shown that there exists an asymptote of zero-drag increment in supercritical regimes, where internal Froude numbers are larger than the critical internal Froude numbers. When the spheroid reduces to a sphere, the results in this paper is in good agreement with the previous theoretical and experimental results of the sphere.