| Autor: |
Gelderblom, Hanneke, Zijlstra, Aaldert G., van Wijngaarden, Leen, Prosperetti, Andrea |
| Rok vydání: |
2012 |
| Předmět: |
|
| Zdroj: |
Physics of Fluids 24, 122101 (2012) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1063/1.4769179 |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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