Power law singularity for cavity collapse in a compressible Euler fluid with Tait–Murnaghan equation of state

Author:

Krimans Daniels1ORCID,Putterman Seth1

Affiliation:

1. Physics and Astronomy Department, University of California Los Angeles , Los Angeles, California 90095, USA

Abstract

Motivated by the high energy focusing found in rapidly collapsing bubbles, which is relevant to implosion processes that concentrate energy density, such as sonoluminescence, we consider a calculation of an empty cavity collapse in a compressible Euler fluid. We review and then use the method based on similarity theory that was previously used to compute the power law exponent n for the collapse of an empty cavity in water during the late stage of the collapse. We extend this calculation by considering different fluids surrounding the cavity, all of which are parametrized by the Tait–Murnaghan equation of state through parameter γ. As a result, we obtain the dependence of n on γ for a wide range of γ, and indeed see that the collapse is sensitive to the equation of state of an outside fluid.

Funder

Office of the Secretary of Defense

Air Force Office of Scientific Research

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

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