"Deformation of cylindrical cavities in plane-parallel potential flows with circulation and under the action of mass forces"
Baikov N.D. and Petrov A.G.

The problems of cumulative jet formation in plane-parallel potential flows of a perfect incompressible fluid within cylindrical cavities are considered. A new numerical algorithm is proposed on the basis of the boundary element method. The approximation is based on quadrature formulas without saturation. The novelty of this paper is to study the potential flows with nonzero circulation and to derive an analog of the momentum conservation law for such flows. The process of the cavity rise in a heavy fluid is also studied.

Keywords: cumulative jets, plane-parallel flow, boundary element method, quadrature formulas without saturation, circulation.

  • Baikov N.D. – Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Leninskie Gory, Moscow, 119991, Russia; Graduate Student, e-mail: baikov_nd@rambler.ru
  • Petrov A.G. – Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences; prospekt Vernadskogo 101, Moscow, 119526, Russia; Dr. Sci., Leading Scientist, e-mail: petrovipmech@gmail.com