Eulerian‐Lagrangian simulations of solid–liquid flow have been performed. The volume‐averaged Navier‐Stokes equations have been solved by a variant of the lattice‐Boltzmann method; the solids dynamics by integrating Newton's second law for each individual particle. Solids and liquid are coupled via mapping functions. The application is solids suspension in a mixing tank operating in the transitional regime (the impeller‐based Reynolds number is 4000), an overall solids volume fraction of 10% and a particle–liquid combination with an Archimedes number of 30. In this application, the required grid resolution is dictated by the liquid flow and we thus need freedom to choose the particle size independent of the grid spacing. Preliminary hindered settling simulations show that the proposed Eulerian‐Lagrangian mapping strategy indeed offers this independence. The subsequent mixing tank simulations generate grid‐independent results. © 2018 American Institute of Chemical Engineers AIChE J, 64: 1147–1158, 2018

中文翻译：

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沉降和搅动致密固液悬浮液的欧拉-拉格朗日模拟-实现网格收敛

进行了固液流动的欧拉-拉格朗日模拟。体积平均的Navier-Stokes方程已通过晶格-Boltzmann方法的变体求解。通过对每个单个粒子积分牛顿第二定律来获得固体动力学。固体和液体通过映射功能耦合。应用是在过渡状态下运行的混合罐中的固体悬浮液（基于叶轮的雷诺数为4000），总固体体积分数为10％，粒子-液体组合的阿基米德数为30。在此应用中，所需的网格分辨率由液体流量决定，因此我们需要自由选择与网格间距无关的粒度。初步的受阻沉降模拟表明，提出的欧拉-拉格朗日映射策略确实提供了这种独立性。随后的混合罐模拟生成独立于网格的结果。©2018美国化学工程师学会AIChE J，64：1147-1158，2018