We implement a new gas–liquid two phase model for the high-efficient prediction of polydispersed bubbly flows in a continuous casting mold. This model shares similarity with the Euler–Lagrange (E-L) method, in which the gas velocity is updated by bubble Lagrangian tracking, and with coupling the phase transport equation in Euler-Euler (E-E) method, thus, it is called the Quasi-Eulerian-Eulerian-IATE (Q-E-E-IATE) model. The local mean bubble size is obtained from solving the interfacial area transport equation (IATE). Various interfacial forces including drag force, lift force, virtual mass force, and turbulent dispersion force are incorporated in this model. This model is verified against published experimental data. Good agreement of gas volume fraction, flow field and bubble size distribution are obtained by adding the virtual mass force and adopting optimized IATE constants. The computational cost of the Q-E-E-IATE model is much lower compared to that of the traditional E-L and E-E models.

我们实施了一种新的气液两相模型，用于高效预测连铸结晶器中的多分散气泡流。该模型与欧拉-拉格朗日（EL）方法相似，通过气泡拉格朗日跟踪来更新气体速度，并与欧拉-欧拉（EE）方法中的相输运方程耦合，因此称为准-欧拉-欧拉-IATE (QEE-IATE) 模型。局部平均气泡尺寸是通过求解界面区域传输方程 (IATE) 获得的。该模型包含了各种界面力，包括阻力、升力、虚拟质量力和湍流分散力。该模型已根据已发布的实验数据进行验证。气体体积分数一致性好，通过添加虚拟质量力并采用优化的IATE常数获得流场和气泡尺寸分布。与传统的 EL 和 EE 模型相比，QEE-IATE 模型的计算成本要低得多。