Analytical solutions for problems of bubble dynamics
Abstract
Recently, an asymptotic solution of the Rayleigh equation for an empty bubble in $N$ 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 $N$ dimensions for the case of a gas--filled hyperspherical bubble. In addition, we include a surface tension into consideration.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2016
- DOI:
- 10.48550/arXiv.1608.00811
- arXiv:
- arXiv:1608.00811
- Bibcode:
- 2016arXiv160800811K
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematics - Classical Analysis and ODEs;
- Physics - Fluid Dynamics
- E-Print:
- Physics Letters A 379.8 (2015): 798-802