Abstract
| Original language | English |
|---|---|
| Article number | 122101 |
| Number of pages | 15 |
| Journal | Physics of fluids |
| Volume | 24 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 2012 |
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Oscillations of a gas pocket on a liquid-covered solid surface. / Gelderblom, Hanneke; Zijlstra, Aaldert G.; van Wijngaarden, Leen; Prosperetti, Andrea.
In: Physics of fluids, Vol. 24, No. 12, 122101, 2012.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Oscillations of a gas pocket on a liquid-covered solid surface
AU - Gelderblom, Hanneke
AU - Zijlstra, Aaldert G.
AU - van Wijngaarden, Leen
AU - Prosperetti, Andrea
PY - 2012
Y1 - 2012
N2 - 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
AB - 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
U2 - 10.1063/1.4769179
DO - 10.1063/1.4769179
M3 - Article
VL - 24
JO - Physics of Fluids
JF - Physics of Fluids
SN - 1070-6631
IS - 12
M1 - 122101
ER -