Perturbation corrections to the equation of radial motion of a cavitating spherical bubble in an inviscid compressible liquid

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Abstract
A perturbation analysis is made of a nonlinear wave equation describing the velocity potential of a spherical bubble in an inviscid compressible liquid. The resulting solution is used to modify the bubble’s equation of radial motion in the neighborhood of the first bubble-radius minimum. Computational results show that the effect of the nonlinear terms is to markedly decrease the bubble’s rate-of-collapse to the first bubble-radius minimum. A comparison with the Gilmore equation is also made.

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