Stokes wave over cavitating vortex

Following Stokes, several authors have studied waves with 120-degree angles at their crests caused on a free surface of fluid by the gravity force. Mathematical analysis, however, shown that similar Stokes waves can be caused by centrifugal force on surfaces where the pressure is constant, and cavitating tip vortex can be examined as a surface of an eventual appearance of axissymmetrical Stokes waves. Determination of shape of such vortices is a novel non-linear problem in potential theory. Thus, a special attention is paid to successive validation of intermediate computations. The main characteristics of the cavity-wave couples past a semi-ellipsoid are computed. An attempt to establish an association between the considered utmost steady flow and experimental data related to breakdown of cavitating vortices is done.