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Inertially Driven Inhomogeneities in Violently Collapsing Bubbles: The Validity of the Rayleigh-Plesset Equation

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Title

Inertially Driven Inhomogeneities in Violently Collapsing Bubbles: The Validity of the Rayleigh-Plesset Equation

Author(s)

Lin, Hao
University of California, Berkeley
Storey, Brian D.

Description

When a bubble collapses mildly the interior pressure field is spatially uniform; this is an assumption often made to close the Rayleigh-Plesset equation of bubble dynamics. The present work is a study of the self-consistency of this assumption, particularly in the case of violent collapses. To begin, an approximation is developed for a spatially non-uniform pressure field, which in a violent collapse is inertially driven. Comparisons of this approximation show good agreement with direct numerical solutions of the compressible Navier-Stokes equations with heat and mass transfer. With knowledge of the departures from pressure uniformity in strongly forced bubbles, one is in a position to develop criteria to assess when pressure uniformity is a physically valid assumption, as well as the significance of wave motion in the gas. An examination of the Rayleigh-Plesset equation reveals that its solutions are quite accurate even in the case of significant inertially driven spatial inhomogeneity in the pressure field, and even when wave-like motions in the gas are present. This extends the range of utility of the Rayleigh-Plesset equation well into the regime where the Mach number is no longer small; at the same time the theory sheds light on the interior of a strongly forced bubble.

Date Published

2018-03-26 15:14:49

Files

  • Download Storey_Inertially_Driven.pdf

Rights Statements

In Copyright - Educational Use Permitted

Linked Data for this Object

Wikidata subjects
Inhomogeneities in the chemical structure of sugarcane bagasse lignin. Rayleigh-Plesset equation of the bubble stable cavitation in water: A nonequilibrium all-atom molecular dynamics simulation study

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