Investigation of the dynamics of a two-dimensional gas-filled cavity near the free surface of a ponderable liquid
Abstract
The motion of the boundary of a two-dimensional gas-filled cavity in the gravity force field is analyzed. The method of successive approximations with respect to small deformations of the cavity is used to find the relationship between the absolute flow potential of the liquid and the kinematic characteristics of cavity motion, starting with the kinematic boundary condition. The dynamic boundary condition is used for deriving a set of recurrent differential equations, suitable for numerical solution on a computer. The computed results are in satisfactory agreement with experimental data.
- Publication:
-
TsAGI Uchenye Zapiski
- Pub Date:
- April 1983
- Bibcode:
- 1983ZaTsA..14...37V
- Keywords:
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- Fluid Boundaries;
- Fluid Filled Shells;
- Gas Flow;
- Liquid Surfaces;
- Two Dimensional Flow;
- Approximation;
- Boundary Conditions;
- Boundary Value Problems;
- Cavities;
- Computational Fluid Dynamics;
- Differential Equations;
- Gravitational Effects;
- Fluid Mechanics and Heat Transfer