The atomization process of a liquid jet in supersonic crossflow with a Mach number of 1.94 was investigated numerically under the Eulerian-Lagrangian scheme. The droplet stripping process was calculated by the KH (Kelvin-Helmholtz) breakup model, and the secondary breakup due to the acceleration of shed droplets was calculated by the combination of the KH breakup model and the RT (Rayleigh-Taylor) breakup model. In our research, the existing KH-RT model was modified by optimizing the empirical constants incorporated in this model. Moreover, it was also found that the modified KH-RT breakup model is applied better to turbulent inflow of a liquid jet than laminar inflow concluded from the comparisons with experimental results. To validate the modified breakup model, three-dimensional spatial distribution and downstream distribution profiles of droplet properties of the liquid spray in the airflow were successfully predicted in our simulations. Eventually, abundant numerical cases under different operational conditions were launched to investigate the correlations of SMD (Sauter Mean Diameter) with the nozzle diameter as well as the airflow Mach number, and at the same time, modified multivariate power functions were developed to describe the correlations.

中文翻译：

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超声速错流中液体射流液滴特性的数值研究

在欧拉-拉格朗日方案下，数值研究了马赫数为1.94的超音速横流中液体射流的雾化过程。液滴剥离过程通过KH（Kelvin-Helmholtz）破碎模型计算，由于脱落液滴加速引起的二次破碎通过KH破碎模型和RT（Rayleigh-Taylor）破碎模型的组合计算。在我们的研究中，现有的 KH-RT 模型通过优化包含在该模型中的经验常数进行了修改。此外，还发现改进的 KH-RT 破裂模型比从与实验结果的比较得出的层流流入更适用于液体射流的湍流流入。为了验证修改后的分解模型，在我们的模拟中成功预测了气流。最终，通过大量不同运行条件下的数值案例研究了SMD（Sauter Mean Diameter）与喷嘴直径以及气流马赫数的相关性，同时开发了修正的多元幂函数来描述相关性.