The velocity fields around aspherical bubbles

Abstract

This paper studies the simplest system, which can possess the left-right symmetrical and asymmetrical surroundings, three bubbles in a line. Assuming that the deformations are small, the surfaces of bubbles are described by a combination of the first three Legendre polynomials, that is, spherical symmetrical mode P₀, antisymmetrical mode P₁ and symmetrical mode P₂. Based on the dynamics of three-bubble system, this paper further studies the velocity fields distribution around them. It can be seen from the contour distribution of the velocity field that the velocity component always decreases with the increase of the distance r. When three identical bubbles are separated uniformly, the velocity field around the central bubble is always in a symmetric, while there are asymmetric velocity fields around two side bubbles.