Oscillations of a gas pocket on a liquid-covered solid surface

Hanneke Gelderblom, Aaldert G. Zijlstra, Leen van Wijngaarden, Andrea Prosperetti

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Abstract

The dynamic response of a gas bubble entrapped in a cavity on the surface of a submerged solid subject to an acoustic field is investigated in the linear approximation. We derive semi-analytical expressions for the resonance frequency, damping, and interface shape of the bubble. For the liquid phase, we consider two limit cases: potential flow and unsteady Stokes flow. The oscillation frequency and interface shape are found to depend on two dimensionless parameters: the ratio of the gas stiffness to the surface tension stiffness, and the Ohnesorge number, representing the relative importance of viscous forces. We perform a parametric study and show, among others, that an increase in the gas pressure or a decrease in the surface tension leads to an increase in the resonance frequency until an asymptotic value is reached
Original languageEnglish
Article number122101
Number of pages15
JournalPhysics of fluids
Volume24
Issue number12
DOIs
Publication statusPublished - 2012

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