Abstract In this work Euler-Euler Large Eddy Simulations (LES) of dispersed turbulent gas–liquid flows in a cylindrical bubble column are presented. Besides, predictions are compared with experimental data from Vial et al. 2000 using laser Doppler velocimetry (LDV). Two test cases are considered where vortical-spiral and turbulent flow regimes occur. The sub-grid scale (SGS) modelling is based on the Smagorinsky kernel with model constant C s = 0.08 and the one-equation model for SGS kinetic energy. The emphasis of this work is to analyse the performance of the one-equation SGS model for the prediction of bubbly flow in a three-dimensional high aspect ratio bubble column ( H / D ) of 20 and investigate the influence of the superficial gas velocity using the OpenFOAM package. The model is compared with the Smagorinsky SGS model and the mixture k - e model in terms of the axial liquid velocity, the gas hold-up and liquid velocity fluctuations. The bubble induced turbulence and various interfacial forces including the drag, virtual mass and turbulent dispersion where incorporated in the current model. Overall, the predictions of the liquid velocities are in good agreement with experimental measurement using the one-equation SGS model and the Smagorinsky model which improve the mixture k - e model in the core and near-wall regions. However, small discrepancies in the gas hold-up are observed in the bubble plume region and the mixture k - e model performs much better. The numerical simulations confirm that the energy spectra of the resolved liquid velocities in churn-turbulent regime follows the classical −5/3 law for low frequency regions and are close to −3 for high frequencies. More details of the instantaneous local flow structure have been obtained by the Euler-Euler LES model including large-scale structures and vortices developed in the bubble plume edge.

中文翻译：

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圆柱气泡柱内气液流动的 Euler-Euler 大涡模拟

摘要 在这项工作中，介绍了圆柱形气泡塔中分散的湍流气液流的欧拉-欧拉大涡模拟 (LES)。此外，预测与 Vial 等人的实验数据进行了比较。2000 年使用激光多普勒测速仪 (LDV)。考虑出现涡旋和湍流流态的两个测试案例。子网格尺度 (SGS) 建模基于模型常数 C s = 0.08 的 Smagorinsky 核和 SGS 动能的一方程模型。这项工作的重点是分析一方程 SGS 模型在 20 的三维高纵横比气泡柱 ( H / D ) 中预测气泡流的性能，并使用OpenFOAM 包。该模型与 Smagorinsky SGS 模型和混合物 k-e 模型在轴向液体速度、气体滞留率和液体速度波动方面进行了比较。气泡引起湍流和各种界面力，包括阻力、虚拟质量和湍流扩散，这些都包含在当前模型中。总体而言，液体速度的预测与使用一方程 SGS 模型和 Smagorinsky 模型的实验测量非常吻合，它们改进了核心和近壁区域的混合物 k-e 模型。然而，在气泡羽流区域观察到气体滞留量的小差异，混合物 k-e 模型的性能要好得多。数值模拟证实，在搅动-湍流状态下解析的液体速度的能谱对于低频区域遵循经典的 -5/3 定律，对于高频区域接近 -3。Euler-Euler LES 模型已经获得了瞬时局部流动结构的更多细节，包括在气泡羽流边缘形成的大尺度结构和涡流。