气泡曳力系数模型分区研究

由曳力系数表征的曳力模型作为重要的相间力模型之一，被广泛应用于Euler-Euler方法和Euler-Lagrange方法下的连续相和离散相动量方程中。由于现有气泡曳力系数模型形式各异且适用范围有限，因此需要对已有模型进行充分地评价。考虑到已有曳力系数模型的适用范围和气泡变形的影响，参考各曳力系数模型采用的相关参数，建议基于Reynolds数Re和Weber数We分区选择最佳模型。将分区曳力系数模型、已有曳力模型与实验数据对比，发现分区曳力系数模型总体预测结果更符合实验测量值。将分区曳力系数模型应用至数值模拟中，可以更精确地追踪不同尺寸气泡的位置，使数值模拟结果更接近真实的物理情况。

Partitioned investigation of drag coefficient models of bubbles

Drag force model which characterized by the drag coefficient, acting as a crucial interface force model, was generally applied into the momentum equation of continuous phase and dispersed phase in Euler-Euler approach and Euler-Lagrange approach. Previous drag coefficient models of bubbles are required to sufficiently estimated due to the different forms and limited applicability. Optimal model is selected considered the applicability of exist models and the influence of bubble shape deformation, which is partitioned and characterized by Reynolds number and Weber number according to the related parameters adopted in previous models. The drag coefficient predicted by the present model generally perform better than previous models by comparing with experimental data. A more physically and accurate predictions of bubble motions can be achieved by adopting the present model in numerical simulations to track the locations of various size of bubbles.