均匀气流中水滴变形过程的数值模拟

Numerical simulation of droplet deformation in uniform airflow

  • 摘要: 飞机在结冰环境下飞行将会遇到过冷水滴,水滴与气流的相互作用会使水滴变形,运动轨迹发生改变。针对水滴在均匀气流中运动变形过程,采用相场方法捕捉了水滴形态变化,结合格子玻尔兹曼通量求解器计算水滴‒空气两相流流场,比较了不同We数和Oh数、不同环境温度下的水滴形态变化及水滴运动加速过程,分析了水滴后缘流动发展特征及水滴变形过程的动力学行为规律;提出了水滴在气流中的运动阻力模型,进行了水滴撞击特性计算,并与实验结果进行对比以验证水滴阻力模型的准确性。研究发现,水滴在气流中变形具有轴向压缩与径向压缩交替进行的特征,轴向压缩过程中的水滴最大纵横比随时间逐渐减小;水滴临近破碎时,边缘较厚,中心逐渐变薄,直至破碎;低温环境影响水滴变形幅度,但对于水滴运动过程的影响较小。本文建立的水滴阻力模型可实现更准确的水滴撞击特性计算,为后续飞机结冰计算提供准确输入。

     

    Abstract: Aircraft flying in icing conditions will encounter supercooled water droplets. These droplets can deform due to the interaction with the airflow, leading to the change of the droplet trajectory. The phase field method is applied to capture the droplet morphology during the droplet deformation and movement in a uniform airflow. Combined with the lattice Boltzmann flux solver, the flow field of the droplet-air two-phase flow is simulated. Time evolutions of the droplet aspect ratio and the accelerations under different We numbers, Oh numbers, and ambient temperatures are compared. Flow development in the wake region of the droplet is analyzed, and the dynamic behavior of the water droplet in the deformation process is revealed. A drag model of the droplet in the airflow is proposed, and the droplet impact characteristics are simulated and compared with experimental data to validate the accuracy of the drag model. It is found that, the droplet has the characteristics of alternating axial compression and radial compression, and the maximum aspect ratio in each axial compression decreases with time. When the water droplet is close to breakup, the edge is thicker while the center gradually becomes thinner until the breakup. Low ambient temperature affects the droplet deformation amplitude but has little effect on the movement of the droplet. Moreover, the proposed droplet drag model can achieve higher accuracy for the droplet impact characteristics calculation, which can provide a more accurate input condition for subsequent aircraft icing prediction.

     

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