Growth of Traveling Bubbles Near an Axisymmetric Body in a Potential Flow

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In this paper, we discuss the dynamics of a cluster of bubbles in a potential flow. The governing equations for a bubble cluster are derived by using a series expansion of spherical harmonics. The three-dimensional translational motion and deformation of each bubble, which are induced by bubble-bubble interactions and the pressure gradient due to a set of simple sources, are taken into consideration. The accuracy of the present theory is confirmed by comparison of the results with those obtained using the boundary element method. The theory is applied to the dynamics of bubbles traveling around two kinds of axisymmetric body. It is shown that the bubble deformation is greatly affected by the pressure gradient around a body. It is also shown that the degree of bubble growth is reduced by bubble-bubble / bubble-wall interactions. The growth rate of interacting bubbles depends on both the initial radius and the initial location of the bubbles. When a particular bubble grows much faster than the other bubbles, the growth rate of the other bubbles is much lower than that predicted using single-bubble theory.
一般社団法人日本機械学会の論文
1997-05-15