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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Chapman-Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions
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Chapman-Enskog closure approximation in the kinetic theory of dilute turbulent gas-particulate suspensions

机译：稀湍流-气体悬浮颗粒动力学理论中的查普曼-恩斯科格封闭近似

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摘要

The Chapman-Enskog approach is applied to a generalised Fokker-Planck equation for the ensemble-averaged phase-space number density of particles to find a closure approximation for the third-order fluctuating velocity correlations in the particle phase of a turbulent dilute gas-particulate suspension. The resulting closed set of continuum equations is shown to be free of empirical parameters, provided the particles are sufficiently large and the turbulence in the both phases is locally isotropic. Special attention is paid to the case where the particle phase is near equilibrium state. In this case the transport equations for diagonal components of the particle Reynolds stresses reduce to a conservation equation for the turbulent kinetic energy. The effective energy transfer coefficient is calculated and the boundary conditions at the rigid wall are formulated. The resulting system of continuum equations and boundary conditions is analysed for fully developed flow between the vertical plane walls of a dilute but densely loaded gas-particulate suspension. Such a flow models a number of practical applications, e.g. the flow in the riser section of fast (circulating) fluidised bed. Copyright (C) 1998 Elsevier Science B.V. All rights reserved. [References: 17]
机译：将Chapman-Enskog方法应用于粒子的集合平均相空间数密度的广义Fokker-Planck方程中，以找到湍流稀气体颗粒的粒子相中三阶脉动速度相关性的闭合近似。悬挂。如果粒子足够大且两相的湍流局部各向同性，则表示所得的封闭的连续统方程组没有经验参数。特别注意粒子相接近平衡状态的情况。在这种情况下，粒子雷诺应力的对角线分量的输运方程式简化为湍动能的守恒方程式。计算有效能量传递系数，并制定刚性壁的边界条件。分析所得的连续方程组和边界条件系统，以在稀薄但负载较重的气体微粒悬浮液的垂直平面壁之间充分展开流动。这样的流程模拟了许多实际应用，例如。快速（循环）流化床提升管部分的流量。版权所有（C）1998 Elsevier Science B.V.保留所有权利。 [参考：17]

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