ポテンシャル流体中での軸対称物体近傍におけるトラベリング気泡の成長

概要

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This paper deals with the dynamics of a cluster of bubbles in a potential flow. The governing equations of the bubble cluster are derived by means of a series expansion of spherical harmonics. The three-dimensional translational motion and deformation, which are induced by bubble-bubble interactions and the pressure gradient due to fixed simple sources, are taken into consideration. Accuracy of the present theory is confirmed by comparison with the boundary element method. The theory is applied to the dynamics of traveling bubbles 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 bubble growth is reduced by bubble-bubble/bubble-wall interactions. The growth rate of interacting bubbles depends on both initial radius and initial location of bubbles. When one bubble grows much faster than the other bubbles, the growth rate of the other bubbles becomes much lower than that predicted by a single-bubble theory.
一般社団法人日本機械学会の論文
1996-02-25