Gelderblom, HannekeZijlstra, Aaldert G.van Wijngaarden, L.Prosperetti, Andrea2020-03-102020-03-1010/6/2012Copyright 2012 Physics of Fluids. Recommended citation: Gelderblom, Hanneke, Aaldert G. Zijlstra, Leen Van Wijngaarden, and Andrea Prosperetti. "Oscillations of a gas pocket on a liquid-covered solid surface." Physics of fluids 24, no. 12 (2012): 122101. DOI: 10.1063/1.4769179 URL: https://aip.scitation.org/doi/abs/10.1063/1.4769179 Reproduced in accordance with the original publisher’s licensing terms and with permission from the author(s).https://hdl.handle.net/10657/6144The 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.en-USIntegral tranformsGas liquids interfacesIntegral equationsFourier analysisTelecommunications engineeringarticle