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Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension
引用本文:高振宇,林建忠,李俊. Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension[J]. 应用数学和力学(英文版), 2007, 28(3): 289-289. DOI: 10.1007,10483-007-0302-1
作者姓名:高振宇  林建忠  李俊
作者单位:Department of Mechanics State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,China Jiliang University,Hangzhou 310018,P.R.China,Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,P.R.China,Hangzhou 310027,P.R.China,Hangzhou 310027,P.R.China
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.

收稿时间:2005-03-29

Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension
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. DOI: 10.1007,10483-007-0302-1
Authors:GAO Zhen-yu  LIN Jian-zhong  LI Jun
Affiliation:1. Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,P.R.China
2. Department of Mechanics,State Key Laboratory of Fluid Power Transmission and Control,Zhejiang University,Hangzhou 310027,P.R.China;China Jiliang University,Hangzhou 310018,P.R.China
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.
Keywords:fiber suspension  turbulent shear flow  rotational dispersion coefficient  expression
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