两相流基本方程

Fundamental Equations of Turbulent Two-Phase Flow

1.
Dept. of Modern Mechanics, University of Science and Technology of China, Hefei;
2.
Depi. of Mechanics, Zhejiang University, Hangzhou

摘要: 本文按照严格的办法,从纳维斯笃克斯方程出发,经过雷诺平均得到了两相流动的雷诺方程组,从更大的程度上包含了一些物理量的湍流脉动乘积的平均项。本文还讨论了两相之间的相互作用力,分散相的压力和压力以外的应力以及两相之间能量交换项的表达式。

Abstract: A new set of Reynolds equations for predicting turbulent two-phase flows has been developed by means of Reynolds averaging method on the unsteady laminar equations of two-phase flow. These equations involve average terms of products of turbulent fluctuations in some physical parameters in a large degree.The interaction forces between two phases, the pressures for dispersed phase, extra stresses except for pressure and the expressions for energy interchange between two phases have been discussed.

[1]	Hetsroui,G,Handbook of Multiphase System,U.S.A.(1982).
[2]	Lyezkowski,R.W.,D.Gidaspow and C.W.Solbrig,Multiphase Flow Models for Nuclear,Fossil and Biomass Energy Production,U.S.A.(1982).
[3]	Pai,S.I.,Two Phase Flow.Chapter V,Vieway Verlag,West Germany(1977).
[4]	Soo,S.L.,Fluid Dynamics of Multiphase Systems,Blaisdell Pub.Co Waltham Mass(1967).
[5]	a.范正翘、陈越南,《多向流体动力学与传热中的数值计算方法》,浙江大学力学系,杭州,全国物理-化学流体力学讲习班(1984).b.陈越南、范正翘、连桂森,多相流体动力学的应用与发展,力学与实践,7,2 (1985).
[6]	Rudinger,G.and A.Cheng,Analysis of nonsteady two phase flow,Physics of Fluids,7,11(1964).
[7]	Pai,S.I.and T.Hsieh,Interaction terms in gas solid two phase flow,z,fur,Flugwiss,21(1973),442-445.
[8]	Wallis,G.B.One Dimensional Two Phase Flow,McGraw-Hill,New York(1960).
[9]	Spalding,D.B.,Numerical computation of multiphase fluid flow and heat transfer,Recent Adv.in Numerical Method in Fluid,Vol.1,Edited by C.Taylor(1980).
[10]	Paton,R.J.,Flow properties for the continuum view point of a noneqilibrium gas particle mixture,Fluid Mech.,31(1968),273-303.
[11]	蔡树棠,泥沙在动水中的沉淀运动I,物理学报,13, 5 (1957). 388-398.
[12]	蔡树棠,泥沙在静水中的沉淀运动I,物理学报,12, 5 (1956).402-408.
[13]	蔡树棠,泥沙在静水中的沉淀运动I,物理学报,12, 5 (1956), 409-418.
[14]	Chapman,S.and T.G.Cowlding,Theory of Nonuniform Gases.