| Abstract: | The problem of translational motion of a vortex source in a three-layer fluid bounded by a bottom from below is considered.
The fluid in each layer is perfect, incompressible, heavy, and homogeneous. Based on the previously developed method, formulas
for disturbed complex velocities of the fluid in each layer and the wave drag and lift force of the vortex source are obtained.
The vortex motion is considered near the interface of two semi-infinite fluid media and in a two-layer fluid with different
conditions at 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.
Omsk Department of Sobolev Institute of Mathematics, Siberian Division, Russian Academy of Sciences, Omsk 644099. Translated
from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 41, No. 5, pp. 140–146, September–October, 2000. |
