Interaction of air bubbles in liquid near a flat rigid wall

The dynamics of regular and stochastic clusters consisting of 16 air bubbles in water near a flat rigid wall under room conditions, as well as with the action they exert on it, was investigated. In the regular cluster, the centers of the equal spherical bubbles were initially located at the nodes of a flat quadratic mesh parallel to the wall. The stochastic clusters were produced from the regular one by the random change in the position or size of the bubbles. The water pressure varied harmonically. The study used a discrete model of the joint bubble dynamics, in which the bubbles are allowed to undergo radial oscillations, translation, and deformations, but not destruction, and proceeded until the destruction began. The dynamics of the bubbles and their action on the wall were analyzed with respect to the amplitude of water pressure oscillations, the distance between the bubbles and the wall, the spacing of the bubbles, the random non-uniformity of the initial size of the bubbles, and the random non-regularity of the initial positions of the bubbles. The pressure on the wall was found to be largely determined by the asynchronous dynamics of the bubbles. Its maximum value was reduced monotonically with a decrease in the amplitude of water pressure oscillations and an increase in the distance between the bubbles and the wall and the spacing of the bubbles.