| 水中气泡溃灭的理论与数值研究 |
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| 引用本文： | 张凌新,尹琴,邵雪明.水中气泡溃灭的理论与数值研究[J].水动力学研究与进展(A辑),2012,27(1):68-73. |
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| 作者姓名： | 张凌新 尹琴 邵雪明 |
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| 作者单位： | 浙江大学力学系流体传动及控制国家重点实验室,杭州,310027 |
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| 基金项目： | 国家自然科学基金项目(10602030,10872181);国家重点基础研究发展计划(973)项目(2009CB724303)~~ |
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| 摘 要： | 从理论和数值两个方面研究了单个气泡在自由流场中的溃灭.采用Rayleigh方程推导出一个新的球形气泡演变的解析解.基于流体体积法( VOF),在考虑表面张力、粘度和可压缩性效应的情况下,对单个纯气体泡的运动进行了三维模拟.在第一次溃灭阶段,气泡体积演变的数值结果与解析解保持一致. 数值结果表明气泡体积到达最小值后开始回弹,气泡的形状、速度场和压力场在回弹点附近发生剧烈变化.
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| 关 键 词： | 气泡溃灭 Rayleigh方程 数值方法 VOF方法 |
Theoretical and numerical studies on the bubble collapse in water |
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| ZHANG Ling-xin
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YIN Qin
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SHAO Xue-ming.Theoretical and numerical studies on the bubble collapse in water[J].Journal of Hydrodynamics,2012,27(1):68-73. |
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| Authors: | ZHANG Ling-xin YIN Qin SHAO Xue-ming |
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| Affiliation: | (State Key Laboratory of Fluid Power Transmission and Control,Department of Mechanics, Zhejiang University,Hangzhou 310027,China) |
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| Abstract: | The collapse of a bubble in free flow field has been investigated theoretically and numerically.The Rayleigh equation is adopted to derive a new analytical solution of the evolution of a spherical bubble.A three-dimensional simulation of the behavior of a gas-filled bubble based on the Volume of Fluid(VOF) method is also performed,considering the effects of surface tension,viscosity and gas compressibility.The numerical result of the volume evolution of the bubble is in good agreement with the analytical solution during its first-stage collapse.Numerical results also show that the volume of the gas-filled bubble reaches its minimum value and then rebounds.Dramatic changes of bubble shape,field velocity and pressure occur in the vicinity of the turning point. |
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| Keywords: | bubble collapse Rayleigh equation numerical simulation VOF method |
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