Analytical solutions for problems of bubble dynamics
Exactly Solvable and Integrable Systems
2016-08-03 v1 Classical Analysis and ODEs
Fluid Dynamics
Abstract
Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in dimensions has been obtained. Here we give the closed--from general analytical solution of this equation. We also find the general solution of the Rayleigh equation in dimensions for the case of a gas--filled hyperspherical bubble. In addition, we include a surface tension into consideration.
Keywords
Cite
@article{arxiv.1608.00811,
title = {Analytical solutions for problems of bubble dynamics},
author = {Nikolai A. Kudryashov and Dmitry I. Sinelshchikov},
journal= {arXiv preprint arXiv:1608.00811},
year = {2016}
}