Title: Oscillations of a gas pocket on a liquid-covered solid surface Show Chinese title

Title: 气体泡在覆盖液体的固体表面上的振荡

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. Show Chinese abstract

Abstract: 在声场作用下，研究了被夹在浸没固体表面腔体中的气泡的动态响应，在线性近似下进行。 我们推导了气泡的共振频率、阻尼和界面形状的半解析表达式。 对于液相，我们考虑了两种极限情况：势流和非定常斯托克斯流。 发现振荡频率和界面形状取决于两个无量纲参数：气体刚度与表面张力刚度的比值，以及奥内佐格数，表示粘性力的相对重要性。 我们进行了参数研究，并表明，气压增加或表面张力减小会导致共振频率增加，直到达到渐近值。