Hydrodynamic characteristics of a vortex source performing translational motion in a multilayer heavy fluid (Q2713956)

The problem is considered of the translational motion of a vortex source in a three-layer fluid bounded by a bottom from below. The fluid in each layer is perfect, incompressible, heavy, and homogeneous. Basing on a previously developed method, formulas are obtained for disturbed complex velocities of the fluid in each layer and the wave drag and lift force of the vortex source. The vortex motion is considered near the interface of two semi-infinite fluid media and in a two-layer fluid with various conditions on the boundary. In all cases, the hydrodynamic characteristics of the vortex source are given as functions of the Froude number. In a number of problems, these characteristics have discontinuities at the transition through the critical Froude numbers. The character of these discontinuities is studied analytically.