Abstract In this paper we present a new multiphase computational model for polydisperse turbulent gas-liquid flows. In this model the gas phase is transported by a single convection equation and the effect of turbulent dispersion is addressed by including a diffusion term. In order to close the system of equations, the gas phase velocity is calculated by employing the slip velocity concept or by solving an ODE. This procedure shares similarity with the Euler-Lagrange (E-L) method, in which the gas velocity is updated by bubble Lagrangian tracking, and with the Euler-Euler (E-E) method, and for this reason it is called the Quasi-Eulerian-Eulerian (Q-E-E) method. In order to account for polydispersity one single transport equation is added to describe the effects of bubble breakage and coalescence on the mean bubble size. The novel Q-E-E method was implemented in the open-source code OpenFOAM-7 and was used to simulate turbulent gas-liquid flows with three different geometries operating under different conditions. The predictions for the dynamical vortex structures, local phase fraction, global gas holdup, mean bubble size and vertical/horizontal liquid velocities were verified against the solution provided by the E-L solver or against published experimental data. Good agreement was found and with extremely small computational costs.

中文翻译：

---

QEEFoam：多分散湍流气液流动的准欧拉模型。在 OpenFOAM 中实现、验证和确认。

摘要 在本文中，我们提出了一种新的多分散湍流气液多相计算模型。在该模型中，气相由单个对流方程传输，湍流扩散的影响通过包含扩散项来解决。为了闭合方程组，气相速度是通过采用滑移速度概念或通过求解 ODE 来计算的。此过程与 Euler-Lagrange (EL) 方法（通过气泡拉格朗日跟踪更新气体速度）和 Euler-Euler (EE) 方法有相似之处，因此称为准欧拉-欧拉(QEE) 方法。为了说明多分散性，添加了一个单一的传输方程来描述气泡破裂和聚结对平均气泡尺寸的影响。新的 QEE 方法在开源代码 OpenFOAM-7 中实现，用于模拟在不同条件下运行的三种不同几何形状的湍流气液流动。对动态涡流结构、局部相分数、全局气体滞留率、平均气泡尺寸和垂直/水平液体速度的预测已根据 EL 求解器提供的解决方案或已发表的实验数据进行了验证。找到了良好的一致性，并且计算成本极低。平均气泡大小和垂直/水平液体速度根据 EL 求解器提供的解决方案或已发表的实验数据进行验证。找到了良好的一致性，并且计算成本极低。平均气泡大小和垂直/水平液体速度根据 EL 求解器提供的解决方案或已发表的实验数据进行验证。找到了良好的一致性，并且计算成本极低。