In-Line Motion of a Pair of Bubbles in a Viscous Liquid
In-Line Motion of a Pair of Bubbles in a Viscous Liquid
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DOI：
10.1299/jsmeb.49.410
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发表时间：
2006-05
期刊：
影响因子：
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通讯作者：
Masao Watanabe;T. Sanada
中科院分区：
文献类型：
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作者：
Masao Watanabe;T. Sanada
本文对中等雷诺数（5<Re<150）下沿垂直线上升的气泡对的运动进行了数值模拟和实验研究。通过理论分析和数值计算，预测了由于势排斥力和粘性吸引力之间的平衡，一对气泡之间存在一个稳定的平衡距离。然而，没有实验结果证实存在的气泡之间的平衡距离上升的垂直线。大多数实验结果表明，一对气泡碰撞。我们解决了这个悖论，回答了这个问题：“是否存在一个均衡距离？”通过给出平衡距离存在的实验证据和考虑气泡表面变形效应的变形空间域/时空有限元方法的详细数值结果，
We study the motion of a pair of bubbles rising in the vertical line, at intermediate Reynolds number (5<Re<150), both numerically and experimentally. It has been predicted, by analytical and numerical studies, that there exists a stable equilibrium distance between a pair of bubbles due to the balance between the potential repulsive and viscous atractive forces. However, no experimental results have ever confirmed the existence of an equilibrium distance between bubbles rising in a vertical line. Most experimental results indicated that a pair of bubbles collided. We solve this paradox and answer the question: “Is there an equilibrium distance?” by presenting both experimental evidence of an existence of the equilibrium distance and the detailed numerical results of a deforming-spatial-domain/space-time finite element method, taking bubble surface deformation effects into account.