Abstract
INTRODUCTIONAs is well known, two balls pulsating in a cophasedstate undergo the action of the Bjorknes attractionforce. However, experiments show that pulsating bubbles do not always merge. Usually, for theoretical derivation of bubblemerging conditions, stimulatednonlinear oscillations are considered for two sphericalbubbles moving in close vicinity to each other underthe action of an external periodic pressure field. It wasshown that as a result of the nonlinear interaction ofthe viscous force with bubble radial and translationaloscillations, there arises a unidirectional repulsionforce quadratic with respect to viscosity. This forcestops the approach of bubbles. The condition obtainedfor bubble merging is confirmed qualitatively byexperimental data.The interaction of two pulsating balls, i.e., of ballsperiodically changing their radii
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