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Fluid Dynamics

, Volume 10, Issue 5, pp 725–730 | Cite as

Plane-parallel flow around a gas cavity

  • N. I. Likhomanov
  • A. G. Petrov
Article
  • 19 Downloads

Abstract

The stationary motion of a gas cavity in an ideal incompressible fluid is studied taking account of surface tension by using a variational equation. Approximate analytical dependences of the dimensionless parameters on the degree of cavity deformation are obtained. It is shown that the variational equation admits of an exact analytical solution. The stability of motion corresponding to the exact solution is proved relative to arbitrary perturbations in the cavity shape. A solution is given for the problem of stationary motion of an elliptical cavity in a gravity viscous fluid and the stability problem is investigated. Dependences are found for the velocity of cavity rise, the Reynolds number, and the Froude number as a function of the cavity size.

Keywords

Surface Tension Reynolds Number Stability Problem Variational Equation Viscous Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • N. I. Likhomanov
    • 1
  • A. G. Petrov
    • 1
  1. 1.Moscow

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