A theoretical model of turbulent fiber suspension and its application to the channel flow

被引：12

作者：

Lin JianZhong ^{[1
,2
]}

Shen SuHua ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Mech, Hangzhou 310027, Zhejiang, Peoples R China

[2] China Jiliang Univ, Hangzhou 310018, Zhejiang, Peoples R China

来源：

SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY | 2010年 / 53卷 / 09期

基金：

中国国家自然科学基金;

关键词：

theoretical model; turbulent fiber suspension; numerical simulation; channel flow; modification of velocity profile; ORIENTATION; PARTICLES; MOTION;

D O I：

10.1007/s11433-010-4058-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A theoretical model of turbulent fiber suspension is developed by deriving the equations of Reynolds averaged Navier-Stokes, turbulence kinetic energy and turbulence dissipation rate with the additional term of fibers. In order to close the above equations, the equation of probability distribution function for mean fiber orientation is also derived. The theoretical model is applied to the turbulent channel flow and the corresponding equations are solved numerically. The numerical results are verified by comparisons with the experimental ones. The effects of Reynolds number, fiber concentration and fiber aspect-ratio on the velocity profile, turbulent kinetic energy and turbulent dissipation rate are analyzed. Based on the numerical data, the expression for the velocity profile in the turbulent fiber suspension channel flow, which includes the effect of Reynolds number, fiber concentration and aspect-ratio, is proposed.

引用

页码：1659 / 1670

页数：12

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