Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
Study on the Collapse Process of Cavitation Bubbles Including Heat Transfer by Lattice Boltzmann Method
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DOI：
10.3390/jmse9020219
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发表时间：
2021-02
影响因子：
2.9
通讯作者：
Yang Liu;Yong Peng
中科院分区：
文献类型：
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作者：
Yang Liu;Yong Peng
在这项研究中，一个改进的双分布函数的基础上的格子玻尔兹曼方法（LBM）被用来模拟非等温空化的演变。密度场和速度场采用多重弛豫时间赝势LBM求解，温度场采用热LBM-MRT求解。首先，通过Rayleigh-Plesset方程和D2（液滴直径的平方）定律对所提出的LBM模型进行了验证。结果表明，LBM模型的模拟结果与相应的解析解是一致的。在此基础上，应用LBM模型研究了空泡在无限域、直壁和凸壁三种典型边界条件下的生长和溃灭过程。对于无限域情况，该模型成功地再现了空泡从膨胀到压缩的过程，且空泡表面存在明显的温度梯度。当气泡在直壁附近坍缩时，如果壁与气泡之间的距离相对较长，则不存在第二次坍缩，并且气泡内部的温度随着距离的增加而增加。当气泡靠近凸壁时，气泡的下边缘在收缩阶段演化成尖角。总体而言，本研究表明，这种改进的LBM模型可以准确地预测空化泡的崩溃，包括传热。此外，密度场和温度场之间的相互作用首次被纳入LBM模型。
In this study, an improved double distribution function based on the lattice Boltzmann method (LBM) is applied to simulate the evolution of non-isothermal cavitation. The density field and the velocity field are solved by pseudo-potential LBM with multiple relaxation time (MRT), while the temperature field is solved by thermal LBM-MRT. First, the proposed LBM model is verified by the Rayleigh–Plesset equation and D2 (the square of the droplet diameter) law for droplet evaporation. The results show that the simulation by the LBM model is identical to the corresponding analytical solution. Then, the proposed LBM model is applied to study the cavitation bubble growth and collapse in three typical boundaries, namely, an infinite domain, a straight wall and a convex wall. For the case of an infinite domain, the proposed model successfully reproduces the process from the expansion to compression of the cavitation bubble, and an obvious temperature gradient exists at the surface of the bubble. When the bubble collapses near a straight wall, there is no second collapse if the distance between the wall and the bubble is relatively long, and the temperature inside the bubble increases as the distance increases. When the bubble is close to the convex wall, the lower edge of the bubble evolves into a sharp corner during the shrinkage stage. Overall, the present study shows that this improved LBM model can accurately predict the cavitation bubble collapse including heat transfer. Moreover, the interaction between density and temperature fields is included in the LBM model for the first time.