Abstract

The dynamics of a gas bubble near a rigid wall with the formation of a cumulative liquid jet under harmonic liquid pressure oscillation is studied. The initial shape of the bubble is varied from slightly oblate to slightly elongated spheroids of the same volume. The liquid pressure oscillates at the natural frequency of the corresponding spherical bubble in the absence of a wall. The liquid is ideal, incompressible, its flow is potential. The investigation is carried out numerically, using the Euler method in time and the boundary elements method in space. Some features of the dependences of the pressure in the bubble and the jet tip velocity and shape on the initial shape of the bubble, its stand-off from the wall, and the liquid pressure oscillation amplitude are revealed. It is shown that for a bubble adjacent to the wall or not far distant from it, the liquid pressure oscillation amplitude does not affect the cumulative jet velocity and shape at the moment of the collision. With growing the distance from the wall, the rise in the amplitude increasingly influence on the cumulative jet shape for a slightly elongated spheroidal bubble and on the jet tip velocity for a slightly oblate spheroidal one.

中文翻译：

---

声激励下壁面附近气泡的动力学与累积射流的形成

摘要

研究了在谐波液体压力振荡下形成累积液体射流的刚性壁附近气泡的动力学。气泡的初始形状从略扁的球体到略细长的相同体积的球体不等。在没有壁的情况下，液体压力以相应球形气泡的固有频率振荡。液体是理想的，不可压缩的，它的流动是潜在的。调查以数值方式进行，在时间上使用欧拉方法，在空间上使用边界元方法。揭示了气泡中的压力和射流尖端速度和形状对气泡初始形状、其与壁的距离以及液体压力振荡幅度的依赖性的一些特征。结果表明，对于靠近壁面或距离壁面不远的气泡，液体压力振荡幅度不影响碰撞瞬间的累积射流速度和形状。随着距壁面距离的增加，振幅的增加对略微拉长的球状气泡的累积射流形状和稍扁球状气泡的射流尖端速度的影响越来越大。