RayleighTaylor instability of the radial motion of a rotating liquid shell
Abstract
Analytical and numerical investigations of the RayleighTaylor instability of the radial motion of a rotating liquid shell are performed. It is assumed that: (1) the shell is homogeneous in the direction of the axis of rotation, (2) the shell material is an ideal and incompressible fluid, (3) the conditions are adiabatic, (4) the disturbances are potential, (5) the disturbances of all parameters depend harmonically on the angular coordinate, and (6) at the initial moment the shell rotates like a rigid body. A system of ordinary differential equations is obtained describing the time evolution of the harmonic fluctuations of the inner and outer boundaries of the shell.
 Publication:

Zhurnal Tekhnicheskoi Fiziki
 Pub Date:
 March 1978
 Bibcode:
 1978ZhTFi..48..425D
 Keywords:

 Hydrodynamics;
 Liquid Filled Shells;
 Rotating Liquids;
 Taylor Instability;
 Adiabatic Flow;
 Computer Techniques;
 Disturbing Functions;
 Equations Of Motion;
 Helmholtz Vorticity Equation;
 Incompressible Fluids;
 Inviscid Flow;
 Lagrange Coordinates;
 Thin Walled Shells;
 Fluid Mechanics and Heat Transfer