Nonstationary axisymmetrical problem for spherical inclusion in cylindrical cavity filled with compressible liquid
Abstract
A method is suggested to solve the problem on nonstationary motion of the liquid spherical inclusion in a cylindrical vessel filled with ideal compressible liquid. Representations of cylindrical wave functions through the spherical ones are presented. The resolving endless system of algebraic equations was obtained in the space of representation by Laplace. For small times in the space of originals the system is reduced to the infinite system of the second kind Volterra integral equations.
 Publication:

Prikladnaia Mekhanika
 Pub Date:
 October 1993
 Bibcode:
 1993PriM...29...65K
 Keywords:

 Cavities;
 Compressibility;
 Cylindrical Bodies;
 Cylindrical Waves;
 Integral Equations;
 Interfaces;
 Resolution;
 Volterra Equations;
 Wave Functions;
 Laplace Transformation;
 Oscillations;
 Fluid Mechanics and Heat Transfer