General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall
Abstract
We consider a generalization of the Rayleigh equation for the description of the dynamics of a spherical gas bubble oscillating near an elastic or rigid wall. We show that in the nondissipative case, i.e. neglecting the liquid viscosity and compressibility, it is possible to construct the general analytical solution of this equation. The corresponding general solution is expressed via the Weierstrass elliptic function. We analyze the dependence of this solution properties on the physical parameters.
 Publication:

European Physical Journal Web of Conferences
 Pub Date:
 February 2018
 DOI:
 10.1051/epjconf/201817303008
 Bibcode:
 2018EPJWC.17303008G