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Modeling three dimensional gas bubble dynamics between two curved rigid plates using boundary integral method

机译：使用边界积分法建模两个弯曲刚性板之间的三维气泡动力学

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摘要

High speed liquid jet forms when a bubble collapses near a solid boundary. The formation of the jet has both advantages and disadvantages as it causes erosion and damage in the nearby turbomachinery and can be beneficially applied in surface cleaning, fluid pumping, etc. In this paper, three-dimensional bubble oscillation between two curved rigid plates is modeled using boundary integral method (BIM). The bubble is incepted at different locations between the plates to investigate the eccentricity effects on the bubble shape, jet formation, etc. The modified Laplacian smoothing technique is implemented on the bubble surface during the jet development to reduce element distortion. The new model is validated with the Rayleigh-Plesset equation as well as with the available experimental data. It was found that the jet velocity increases, and the number of jets is reduced from two to one as the bubble is horizontally shifted away from the centroid. When the bubble is incepted on the horizontal axisymmetric line the jet is horizontal. However, the jet direction changes as the bubble is incepted closer to one of the plates. Finally, the pressure and velocity fields of the fluid surrounding the bubble are provided for better interpretation of the results.
机译：当气泡在固体边界附近破裂时，形成高速液体射流。射流的形成既有优点也有缺点，因为它会在附近的涡轮机械中引起腐蚀和损坏，并且可以有利地应用于表面清洁，流体泵送等方面。本文对两个弯曲的刚性板之间的三维气泡振动进行了建模使用边界积分法（BIM）。在板之间的不同位置接收气泡，以研究偏心对气泡形状，射流形成等的影响。在射流形成过程中，在气泡表面实施了改进的拉普拉斯平滑技术，以减少元素变形。新模型已通过Rayleigh-Plesset方程以及可用的实验数据进行了验证。已经发现，随着气泡水平地离开质心，喷射速度增加，并且喷射数量从2减少到1。当气泡在水平轴对称线上被接受时，射流是水平的。然而，随着气泡被认为更靠近板之一，喷射方向改变。最后，提供气泡周围流体的压力场和速度场，以更好地解释结果。

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