Dynamics of spherical gas bubbles in a cluster under an increase in the surrounding liquid pressure

The influence of the hydrodynamic interaction spherical gas bubbles in linear, circular and ball-shaped clusters under a sudden increase surrounding liquid pressure is studied. centers are located at nodes uniform one-dimensional mesh on segment straight line linear clusters, two-dimensional inside region plane three-dimensional clusters. Initially, rest, 1 bar, bubble radius 0.25 mm, size cells 5 mm. rises by 0.8 bar. A mathematical model applied, which dynamics described second-order ODEs radii position-vectors their centers. It shown that radial oscillations significantly different from those single bubble. In particular, period longer, damping non-monotonic (with beats). amplitudes beats much greater central than peripheral ones. process decay begins with phase amplification, during maximum becomes higher achieved Moreover, growing number these rate decreases, oscillation beat frequency both increases.