Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

doi:10.1007,10483-007-0302-1

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (3): 289-289 .doi: https://doi.org/10.1007,10483-007-0302-1

Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

高振宇1;林建忠1 2;李俊1

1. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University, Hangzhou 310027, P. R. China;2. China Jiliang University, Hangzhou 310018, P. R.China

收稿日期:2005-03-29 修回日期:2006-11-22 出版日期:2007-03-25 发布日期:2007-03-25

Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

GAO Zhen-yu1;LIN Jian-zhong1 2;LI Jun1

高振宇1;林建忠1 2;李俊1

Received:2005-03-29 Revised:2006-11-22 Online:2007-03-25 Published:2007-03-25

摘要/Abstract

摘要： The rotational dispersion coefficient of the fiber in the turbulent shear flow of fiber suspension was studied theoretically. The function of correlation moment between the different fluctuating velocity gradients of the flow was built firstly. Then the expression, dependent on the characteristic length, time, velocity and a dimensionless parameter related to the effect of wall, of rotational dispersion coefficient is derived. The derived expression of rotational dispersion coefficient can be employed to the inhomogeneous and non-isotropic turbulent flows.Furthermore it can be expanded to three-dimensional turbulent flows and serves the theoretical basis for solving the turbulent flow of fiber suspension.

关键词: fiber suspension, turbulent shear flow, rotational dispersion coefficient, expression

Abstract: The rotational dispersion coefficient of the fiber in the turbulent shear flow of fiber suspension was studied theoretically. The function of correlation moment between the different fluctuating velocity gradients of the flow was built firstly. Then the expression, dependent on the characteristic length, time, velocity and a dimensionless parameter related to the effect of wall, of rotational dispersion coefficient is derived. The derived expression of rotational dispersion coefficient can be employed to the inhomogeneous and non-isotropic turbulent flows.Furthermore it can be expanded to three-dimensional turbulent flows and serves the theoretical basis for solving the turbulent flow of fiber suspension.

Key words: fiber suspension, turbulent shear flow, rotational dispersion coefficient, expression

中图分类号:

76T20
76F10

高振宇;林建忠;李俊. Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(3): 289-289 .

GAO Zhen-yu;LIN Jian-zhong;LI Jun. Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(3): 289-289 .

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Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

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