| Issue |
EPJ Web Conf.
Volume 173, 2018
Mathematical Modeling and Computational Physics 2017 (MMCP 2017)
|
|
|---|---|---|
| Article Number | 03008 | |
| Number of page(s) | 4 | |
| Section | Numerical Modeling and Methods | |
| DOI | https://doi.org/10.1051/epjconf/201817303008 | |
| Published online | 14 February 2018 | |
https://doi.org/10.1051/epjconf/201817303008
General Solution of the Rayleigh Equation for the Description of Bubble Oscillations Near a Wall
NRNU MEPhI, 115409, Russia, Moscow, Kashirskoe shosse, 31
* e-mail: ivan.mail4work@yandex.ru
** e-mail: disine@gmail.com
*** e-mail: nakudr@gmail.com
Published online: 14 February 2018
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 non–dissipative 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.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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