Analytical solutions for problems of bubble dynamics
classification
🌊 nlin.SI
math.CAphysics.flu-dyn
keywords
bubbleequationsolutionanalyticaldimensionsgeneralrayleighaddition
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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.
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