Abstract The collapse process of bubble cluster is closely related to bubble–bubble interaction. Theoretical analysis and numerical simulation are adopted to study the collapse of bubble cluster with various distributions. The key parameters for bubble collapse, including bubble quantity, volume fraction, and dimensionless pressure, are acquired by dimensional analysis. The effects of key parameters on collapse of bubble cluster are investigated by direct numerical simulation. The numerical result shows that the collapsing speed of bubble cluster increases with the increase of bubble quantity and dimensionless pressure, decreases with the increase of volume fraction. A condensation rate is considered on the basis of bubble cluster with primitive cubic distributions. Square pyramid arrangement and random arrangement of bubbles are also simulated. A parameter study of the dimensionless bubble distance bubble cluster with random arrangement shows that a larger distance generally results in a larger collapse speed of bubble cluster.

中文翻译：

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气泡团坍缩速度的研究

摘要 气泡簇的坍塌过程与气泡-气泡相互作用密切相关。采用理论分析和数值模拟的方法研究了不同分布气泡簇的坍塌。通过量纲分析获得气泡破裂的关键参数，包括气泡数量、体积分数和无量纲压力。通过直接数值模拟研究了关键参数对气泡簇坍塌的影响。数值结果表明，气泡簇的坍塌速度随着气泡数量和无量纲压力的增加而增加，随着体积分数的增加而减小。基于具有原始三次分布的气泡簇考虑冷凝率。还模拟了方形金字塔排列和气泡的随机排列。