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arXiv · 1409.6699

Analytical solutions of the Rayleigh equation for empty and gas--filled bubble

Nikolay A. Kudryashov·Dmitry I. Sinelshchikov
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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.

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Nikolay A. Kudryashov, Dmitry I. Sinelshchikov. 2014-09-23. Analytical solutions of the Rayleigh equation for empty and gas--filled bubble. https://doi.org/10.1088/1751-8113/47/40/405202

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