Analytical solutions of the Rayleigh equation for empty and gas--filled bubble
Fluid Dynamics
2014-09-24 v1 Exactly Solvable and Integrable Systems
Abstract
The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this equation have not been obtained previously. Here we find closed--form general solutions of the Rayleigh equation both for an empty and gas--filled spherical bubble. We present an approach allowing us to construct exact solutions of the Rayleigh equation. We show that our solutions are useful for testing numerical algorithms.
Keywords
Cite
@article{arxiv.1409.6699,
title = {Analytical solutions of the Rayleigh equation for empty and gas--filled bubble},
author = {Nikolay A. Kudryashov and Dmitry I. Sinelshchikov},
journal= {arXiv preprint arXiv:1409.6699},
year = {2014}
}