Influence of spatial position of gas bubbles in liquid on their joint dynamics

The influence of the mutual arrangement of initially identical spherical equidistant gas bubbles in liquid on their dynamics at the antinode pressure of an ultrasonic standing wave is studied. A mathematical model is used, in which small deformations of bubbles are taken into account. Two configurations of their relative position are considered: linear and planar. The first configuration is composed from three bubbles with their centers on one straight line, the second configuration is composed from five bubbles with their centers on two mutually orthogonal straight lines. It is shown that the magnitude of the deformations of the central bubbles in the linear and planar configurations is approximately the same.