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.]