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湍流两相流动有燃烧颗粒相概率密度函数输运方程理论
引用本文:周力行,郑楚光,柳朝晖. 湍流两相流动有燃烧颗粒相概率密度函数输运方程理论[J]. 工程热物理学报, 2000, 21(2): 247-251
作者姓名:周力行  郑楚光  柳朝晖
作者单位: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
基金项目: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。

关 键 词:湍流  气粒两相流动  燃烧  PDF输运方程
文章编号:0253-231X(2000)02-0247-05
修稿时间:1999-04-15

THE JOINT PDF TRANSPORT EQUATION OF COMBUSTING PARTICLE PHASE IN TURBULENT REACTING GAS-PARTICLE FLOWS
ZHOU Lixing,ZHENG Chuguang,LIU Zhaohui. THE JOINT PDF TRANSPORT EQUATION OF COMBUSTING PARTICLE PHASE IN TURBULENT REACTING GAS-PARTICLE FLOWS[J]. Journal of Engineering Thermophysics, 2000, 21(2): 247-251
Authors:ZHOU Lixing  ZHENG Chuguang  LIU Zhaohui
Affiliation:ZHOU Lixing(Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China)ZHENG Chuguang,LIU Zhaohui(National Key Laboratory of Coal Combustion, Huazhong University of Science and Technology; Hubei Wuhan 430074, China)
Abstract: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.
Keywords:turbulence  gas-particle flows  combustion  PDF transport equation
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