Accession Number:

ADA158058

Title:

A Theoretical Investigation of Acoustic Cavitation.

Descriptive Note:

Technical rept.,

Corporate Author:

MISSISSIPPI UNIV UNIVERSITY PHYSICAL ACOUSTICS RESEARCH LAB

Personal Author(s):

Report Date:

1985-07-15

Pagination or Media Count:

121.0

Abstract:

Recent experiments have shown that when the acoustic driving frequency is near one of a bubbles harmonic resonances, the theoretical values predicted by the Rayleigh-Plesset equation are inconsistent with observed values. This inconsistency lead Prosperetti to consider the internal pressure term in the Rayleigh-Plesset equation in a more general manner. In the past the internal pressure of a bubble was assumed to be accurately predicted by a polytropic approximation. Prosperetti considered the internal pressure from the conservation equations, resulting in a much more accurate formulation. This study analyzes the two methods, showing where they agree and where they disagree. The new formulation also provides additional information about the internal thermodynamics of a bubble. Results are shown for the internal temperature of a cavitating bubble as a function of radial coordinate and time. Internal pressures for a variety of conditions are shown and are in good agreement with earlier predicted values. Different models of acoustic cavitation are examined using some of the recent techniques in dynamical systems. Feigenbaum trees were made for the two models. This method for analyzing an equation was shown to be very sensitive to the internal pressure term, and thus is an appropriate method for comparing different acoustic cavitation theories. Keywords Nonlinear dynamics.

Subject Categories:

  • Numerical Mathematics
  • Acoustics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE