摘要
用修正的BGK模型模拟粒间非弹性碰撞效应,用Fokker-Planck扩散算子描述湍流-颗粒作用,建立了低浓度固液两相流颗粒相的模型动理学方程和宏观水动力学方程组.运用Chapm an-Enskog迭代法获得动理学方程的二阶近似解,建立了颗粒相脉动应力和脉动能传导通量的显式本构关系.建立的动理学模型在颗粒近乎弹性条件下简化为已有的模型,为固液两相流模拟提供了一个实用模型.
A kinetic model for dilute solid-liquid two-phase flows with inelastic collisions was presented. Interparticle collisions were modeled using Santos and Astillero＇s （2005） revised BGK model, and particle-trubulence interactions were characterized with the Fokker-Planck operator. The formulated model kinetic equation was solved using the Chapman-Enskog method. The approximate solution was then adopted to derive the constitutive relationships for the conservation equations of particle phase. The new constitutive relationships would be useful for simulating dilute solid-liquid twophase flows such as sediment-laden flows in open channels or rivers.
出处
《科学通报》
EI
CAS
CSCD
北大核心
2009年第11期1511-1517,共7页
Chinese Science Bulletin
基金
国家自然科学基金(批准号:50823005)
水沙科学与水利水电工程国家重点实验室统筹课题(编号:2008-TC-1)资助项目
关键词
动理学模型
两相流
非弹性碰撞
BGK模型
本构关系
kinetic model, two-phase flows, inelastic collision, BGK model, constitutive relations
