Interaction of Bubbles in Liquid Near a Flat Rigid Wall

The possibility of using a recently proposed particle model of the interaction between bubbles for investigating the collective dynamics of the bubbles near a flat rigid wall and their force action on the wall has been studied. A technique of calculation of the force action of bubbles on a plane wall within the particle model under consideration has been proposed. This technique has been verified by the comparison with the available experimental data and the results by the boundary element method. To demonstrate the possibility of using the particle model and the proposed technique for investigating the collective dynamics of bubbles near a flat rigid wall, a problem of joint dynamics of sixteen initially spherical air bubbles in water near a flat rigid wall under room conditions has been considered. The centers of the bubbles are located at the nodes of a flat quadratic mesh parallel to the wall. The liquid pressure oscillates according to the harmonic law. To estimate the cluster effect, the dynamics of a similar single bubble has also been considered. It is shown that the maximum pressures on the wall are achieved in the stage of the first collapse of the bubbles at the center of their action on the wall (right under the cluster center position). The maximum pressure on the wall in the case of the cluster is more than 2.5 times higher than in the case of the single bubble.