Resonant coupling of oscillating gas or vapor bubbles in water: An experimental study

Abstract

Resonant coupling of oscillating gas or vapor bubbles in water is experimentally studied using a two-frequency acoustic apparatus. First, the threshold amplitude of resonant coupling between the volume and axisymmetric shape oscillations is measured for gas bubbles in the shape modes, n=3–6, and for vapor bubbles in the modes, n=4 and 5, where n is the mode number. The result qualitatively agrees with a theoretical prediction based on a phase-space analysis. Secondly, the efficiency of two coupling conditions, two–one (2:1) and one–one (1:1) resonant conditions is compared for the n=4 and 5 modes. The result of the comparison can be generalized as follows: When n is an even number, the (1:1) coupling condition has better energy transfer efficiency than (2:1). The relationship reverses when n is an odd number, i.e., the (2:1) coupling condition has better energy transfer efficiency than (1:1).