Abstract The paper presents an assessment of turbulence models in dispersed bubbly flows based on an analysis of their application to uniform and uniformly sheared homogeneous turbulence. This analysis leads to the development of a five-equation model where the total turbulent fluctuations in bubbly flow is submitted to a double decomposition: First, the turbulent fluctuations are split into Shear-Induced-Turbulence (SIT) and Bubble-Induced-Turbulence (BIT) components. Secondly, The BIT contribution is split into two components corresponding to non-dissipative pseudo-turbulent part and dissipative turbulent part produced by local shear in bubble’s wake. Consequently, the total turbulent energy is split into three contributions: two dissipative quantities k t and k s produced respectively by gradient of mean velocity in the liquid phase and by local shear in bubble’s wake both are described by their modeled transport equations as well as their dissipation rates e t and e s ; and a non-dissipative component k p attributed to fluctuations of potential flow around bubbles described by its modeled transport equation. This model was implemented in CFD code and validated in homogeneous bubbly turbulence situations. The numerical results show a satisfactory agreement with experimental data of turbulence.

中文翻译：

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气泡流湍流模型的评估：迈向五方程湍流模型

摘要 本文基于对均匀和均匀剪切的均匀湍流的应用分析，对分散气泡流中的湍流模型进行了评估。这种分析导致了一个五方程模型的发展，其中气泡流中的总湍流波动被提交给二重分解：首先，湍流波动被分为剪切诱导湍流 (SIT) 和气泡诱导湍流 (位）组件。其次，BIT贡献分为两个分量，分别对应于气泡尾流中局部剪切产生的非耗散伪湍流部分和耗散湍流部分。因此，总的湍流能量分为三个部分：分别由液相中的平均速度梯度和气泡尾流中的局部剪切产生的两个耗散量 kt 和 ks 都由它们的模拟传输方程以及它们的耗散率 et 和 es 来描述；和非耗散分量 kp 归因于由其建模的传输方程描述的气泡周围的势流波动。该模型在 CFD 代码中实施，并在均质气泡湍流情况下进行了验证。数值结果与湍流实验数据吻合较好。该模型在 CFD 代码中实施，并在均质气泡湍流情况下进行了验证。数值结果与湍流实验数据吻合较好。该模型在 CFD 代码中实施，并在均质气泡湍流情况下进行了验证。数值结果与湍流实验数据吻合较好。