快速颗粒流本构关系在固液两相流中的适用条件初探

Preliminary Investigation on the Application of the Constitutive Relations for Rapid Granular Flows to Solid/Liquid Mixtures

从固液两相流的颗粒相本构关系的推导出发 ,分别运用 Chapman-Enskog方法和 Grad-1 3矩法考察了液相作用下颗粒相本构关系 .结果表明当两相脉动速度无关或者同相位时 ,快速颗粒流本构关系适用于固液两相流的颗粒相 .并对低、高浓度固液两相流定性分析了具体的应用条件 .

Starting from the derivation of the constitutive relations of particle phase for fluid solid two phase flows, the classical method of Chapman Enskog iteration and that of Grad′s 13 moments are employed to investigate the effect of fluid fluctuation on the constitutive relations of particle phase. It shows that the cibstutytuve rekatuibs if rapid granular flows are available for fluid solid mixtures in two limit cases, in which the fluctuating velocities of two phases are uncorrelated or particles follow the fluid fluctuation completely. For solid/liquid flows, the two limit conditions correspond to the flows with large particles or high volumetric concentration.