中文摘要：

在与二液体的模型和 Eulerian-Lagrangian 途径一起在工业处理设备的多相的流动的数字模拟要求描述在高集中的驱散的阶段和连续阶段之间的相互作用的组成的方程。关于驱散的固体和液体粒子上的力量的研究的地位在这篇文章被考察。作为与知识在上相比单个稳固的粒子拖，粒子群上并且在另外的力量上的学习不是足够的遇见多相的流动的可靠、有效的数字模拟的需求。因此，粒子群上的彻底的学习变得

英文摘要：

Numerical simulation of multiphase flows in processing equipment in industry with two-fluid models and Eulerian-Lagrangian approaches requires the constitutive equations describing the interactions between the dispersed phase of high concentration and the continuous phase. The status of research on the forces on dispersed solid and fluid particles is reviewed in this article. As compared with the knowledge on drag of single solid particles study on panicle swarms and on other forces is not sufficient to meet the demand of reliable and efficient numerical simulation of multiphase flows. Thus, thorough study on the panicle swarms becomes the key to accurate multi-scale simulation of multiphase flows. Besides, the development of efficient algorithm dealing with the non-uniformity on both equipment and mesoscopic scales is recognized as an important issue to be resolved. The research topics in the near future are suggested.