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中文摘要：
引言 研究颗粒受力的准确描述形式对于正确认识颗粒流体复杂系统具有非常重要的意义。颗粒在流场中受到的作用力包括重力、曳力、浮力及其他作用力（如Magnus旋转升力、Saffman滑移剪切升力、Basset力等），其中曳力是颗粒流体相间接触时最主要的作用形式。单颗粒绕流过程中的标准曳力系数Cd0是将球形颗粒置于等温、不可压缩的均匀流场中进行实验，通过拟合实验数据计算得到的。
英文摘要：
The LBGK （lattice Bhatnagar-Gross-Krook） model of the lattice Boltzmann method including second-order boundary condition treatment for curve geometry was employed to investigate the flow around particle clusters. The drag coefficient is a benchmark problem in the analysis of particle-fluid complex systems, especially, in a gas-solid fluidized bed. In the present work, the drag coefficient on a spherical particle in a cluster, was evaluated by using the momentum-exchange method directly. Two different configurations of cluster were measured based on the lattice Boltzmann method. Computational results indicated that the drag coefficient on an individual particle in a cluster depended heavily on the configuration of cluster. And the drag coefficient on the particle in the cluster was lower when that particle was shielded by other particles. Additionally, except for the configuration factor, both the inter-distance and Reynolds number had a strong effect on the drag coefficient on an individual particle as well. It was found that the drag coefficient on each particle varied drastically with clustering. Omitting the effect of clustering might result in incorrect drag forces in the simulation.
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