湍流两相流动有燃烧颗粒相概率密度函数输运方程理论  

THE JOINT PDF TRANSPORT EQUATION OF COMBUSTING PARTICLE PHASE IN TURBULENT REACTING GAS-PARTICLE FLOWS

作　　者：周力行[1] 郑楚光[2] 柳朝晖[2] 

机构地区：[1]清华大学工程力学系,北京100084 [2]华中理工大学煤燃烧国家重点实验室,湖北武汉430074

出　　处：《工程热物理学报》2000年第2期247-251,共5页Journal of Engineering Thermophysics

基　　金：国家自然科学基金!19572043);华中理工大学煤燃烧国家重点实验室开放课题资助!98-1;1999-2004国家重大基础

摘　　要：由有燃烧的湍流气粒两相流动的瞬态方程和统计力学概率密度函数概念出发，推导了有燃烧颗粒相的质量－动量－能量联合概率密度函数（ＰＤＦ）输运方程，并对方程中条件期望项用梯度模拟概念进行了模拟封闭。封闭后的ＰＤＦ方程可作为建立颗粒拟流体模型方程和封闭二阶矩模型的基础，也可以通过Ｍｏｎｔｅ－Ｃａｒｌｏ 法求解用以直接计算颗粒雷诺应力和湍流动能，以便和二阶 矩模型的结果相对照，改善二阶矩模型。Starting from the instantaneous equations of turbulent combusting gas-particle flows and the concept of probability density distribution function (PDF) in statistical me chanics, the Eulerian and Lagrangian velocity-mass-enthalpy joint PDF transport equation of combusting particle phase is derived and a gradient modeling is used as the closure of the conditional expectation term in this equation. The obtained closed form of PDF equation can be used for establishing the Eulerian particle-phase equations in the two-fluid model of turbulent combusting gas-particle flows, the closure of second-order moment model, or for direct predicting the particle Reynolds stresses and turbuleflt kinetic energy using the Monte-Carlo method, to be compared with the second-order moment model.

关 键 词：湍流 气粒两相流动 燃烧 PDF输动运方程 

分 类 号：O359[理学—流体力学]