Modeling of wet stirred media mill processes is challenging since it requires the simultaneous modeling of the complex multiphysics in the interactions between grinding media, the moving internal agitator elements, and the grinding fluid. In the present study, a multiphysics model of an HIG5 pilot vertical stirred media mill with a nominal power of 7.5 kW is developed. The model is based on a particle-based coupled solver approach, where the grinding fluid is modeled with the particle finite element method (PFEM), the grinding media are modeled with the discrete element method (DEM), and the mill structure is modeled with the finite element method (FEM). The interactions between the different constituents are treated by loose (or weak) two-way couplings between the PFEM, DEM, and FEM models. Both water and a mineral slurry are used as grinding fluids, and they are modeled as Newtonian and non-Newtonian fluids, respectively. In the present work, a novel approach for transferring forces between grinding fluid and grinding media based on the Reynolds number is implemented. This force transfer is realized by specifying the drag coefficient as a function of the Reynolds number. The stirred media mill model is used to predict the mill power consumption, dynamics of both grinding fluid and grinding media, interparticle contacts of the grinding media, and the wear development on the mill structure. The numerical results obtained within the present study show good agreement with experimental measurements.

中文翻译：

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一种基于粒子的新型湿式垂直搅拌介质磨的建模方法

湿搅拌介质研磨机过程的建模具有挑战性，因为它需要在研磨介质，移动的内部搅拌器元件和研磨液之间的相互作用中同时对复杂的多物理场进行建模。在本研究中，开发了标称功率为7.5 kW的HIG5中试立式搅拌介质磨的多物理场模型。该模型基于基于粒子的耦合求解器方法，其中，使用粒子有限元方法（PFEM）建模磨削流体，使用离散元方法（DEM）建模磨削介质，并使用有限元方法（FEM）。PFEM，DEM和FEM模型之间的松散（或弱）双向耦合处理了不同成分之间的相互作用。水和矿物浆液均用作研磨液，分别以牛顿流体和非牛顿流体为模型。在当前的工作中，基于雷诺数实现了一种在磨削流体和磨削介质之间传递力的新颖方法。通过将阻力系数指定为雷诺数的函数来实现这种力传递。搅拌介质磨机模型用于预测磨机能耗，磨削液和磨料的动力学，磨料的颗粒间接触以及磨机结构上的磨损发展。在本研究中获得的数值结果表明与实验测量结果吻合良好。实现了一种基于雷诺数的在磨削流体和磨削介质之间传递力的新颖方法。通过将阻力系数指定为雷诺数的函数来实现这种力传递。搅拌介质磨机模型用于预测磨机能耗，磨削液和磨料的动力学，磨料的颗粒间接触以及磨机结构上的磨损发展。在本研究中获得的数值结果表明与实验测量结果吻合良好。实现了一种基于雷诺数的在磨削流体和磨削介质之间传递力的新颖方法。通过将阻力系数指定为雷诺数的函数来实现这种力传递。搅拌介质磨机模型用于预测磨机能耗，磨削液和磨料的动力学，磨料的颗粒间接触以及磨机结构上的磨损发展。在本研究中获得的数值结果表明与实验测量结果吻合良好。研磨液和研磨介质的动力学，研磨介质的颗粒间接触以及研磨机结构上的磨损发展。在本研究中获得的数值结果表明与实验测量结果吻合良好。研磨液和研磨介质的动力学，研磨介质的颗粒间接触以及研磨机结构上的磨损发展。在本研究中获得的数值结果表明与实验测量结果吻合良好。