## 4pPA5. Understanding the periodic driving pressure in the Rayleigh--Plesset equation.

### Session: Thursday Afternoon, May 16

### Time: 3:45

**Author: William C. Moss**

**Location: Lawrence Livermore Natl. Lab., L-200, 7000 East Ave., P.O. Box 808, Livermore, CA 94550**

**Abstract:**

The radial motion of a single bubble in a periodically driven liquid is
simulated by solving the Rayleigh--Plesset equation and the fully compressible
hydrodynamic equations. The hydrodynamic equations require a much smaller
far-field periodic driving pressure than the Rayleigh-Plesset equations to
produce the same maximum bubble radius. The discrepancy is resolved by
constructing analytic traveling and standing wave solutions that show the
relationship between the far-field periodic driving pressure and the pressure
near the bubble, which is actually responsible for the radial motion. [This work
was performed under the auspices of the U.S. Department of Energy by Lawrence
Livermore National Laboratory under Contract No. W-7405-Eng-48.]

from ASA 131st Meeting, Indianapolis, May 1996