Abstract: The dilute particle of fluid-solid two phase flow widely exists in practical application of chemical engineering, storage and transportation, separation etc. The description of the complex turbulent motion is one of the research hotspot and difficulty of two phase flow. The growing process of the dilute discrete phase model was reviewed in this paper, which from the theoretical basis, the modeling process, the numerical simulation method and the application of several aspects of the discrete phase model, the discrete phase model, the stochastic trajectory model, the improved stochastic trajectory model has carried on the detailed elaboration. The interaction coupling relationship between discrete and fluid phase was theoretically analyzed, and the corresponding model was evaluated. Then, the paper pointed out that the present problems and the future development direction of the discrete phase orbit model. This paper puts forward an advanced stochastic trajectory model which based on random Fourier series describing the discrete phase resultant force to describe the motion law of discrete phase to deal with fluid phase fluctuation velocity randomly in the future, so as to better describe the motion law of discrete phase, at the same time considering of the coupling two phase, to establish full coupling vibration dynamic model of two phase flow, and describe the movement characteristics of discrete phase of fluid-solid in the two phase flow comprehensively andsystematically, providing theoretical basis for the in-depth development of the dilute discrete model in fluid-solid two phase flow.

Key words: fluid-solid two phase flow, discrete phase model, stochastic trajectory model, sparse discrete phase, two phase coupling

摘要： 流固两相流中稀疏离散相广泛存在于化工、储运、分离等工程实际应用中，其复杂的湍流运动规律的描述是目前两相流研究的热点和难点之一。对流固两相流中稀疏离散相模型的发展历程进行了综述和分析，从离散相轨道模型的理论依据、建模过程、数值模拟方法以及应用情况等几个方面详细地分析了离散相既定轨道模型、随机轨道模型、改进随机轨道模型等模型，并针对离散相和连续相间的相互耦合关系进行了阐述，进而对相应的模型进行了评价；并指出离散相轨道模型目前存在的问题和今后发展的方向，对连续相脉动速度进行随机处理提出基于随机Fourier级数描述离散相合力的改进随机轨道模型，从而较好地描述离散相的运动规律，同时结合考虑两相耦合的方法建立两相流的全耦合振动动力学模型，可全面、系统地描述流固两相流中稀疏离散相的运动特征，为流固两相流中稀疏离散相模型的深入发展提供前期基础。

关键词: 流固两相流, 离散相模型, 随机轨道模型, 稀疏离散相, 两相耦合