Computing orientation distribution and rheology of turbulent fiber suspensions flowing through a contraction

Lin Jianzhong

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Computing orientation distribution and rheology of turbulent fiber suspensions flowing through a contraction

Lin Jianzhong * #

Dept.of Mechanics, Zhejiang University

*Correspondence author

#Submitted by

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Funding: 教育部博士点基金（No.20030335001）

Opened online:27 February 2006

Accepted by: none

Citation: Lin Jianzhong.Computing orientation distribution and rheology of turbulent fiber suspensions flowing through a contraction[OL]. [27 February 2006] http://en.paper.edu.cn/en_releasepaper/content/5398

The Reynolds averaged Navier-Stokes equation was solved with the Reynolds stress model to get the mean fluid velocity and the turbulent kinetic energy in the turbulent flow of a contraction with rectangular cross-section. The turbulent velocity fluctuations were represented as a Fourier series with random coefficients. Then the slender-body theory was used to predict the fiber orientation distribution, orientation tensor, additional shear stress and first normal stress difference of suspensions in the flow. Some numerical results are in agreement qualitatively with the experimental ones available in the literature. The results show that the longer fibers tend to align the streamline easily. Increased contraction ratio results in higher fiber alignment in the direction of flow. The fibers are weakly and strongly aligned in the direction of flow in the region near the inlet and the exit, respectively. Fibers are significantly more aligned in the plane of the contraction than they are aligned in the horizontal plane. Contraction ratio and fiber length were shown to strongly and weakly affect the distributions of additional shear stress and first normal stress difference.

Keywords:Fiber suspension; Turbulent; Contraction flow; Orientation; Stress; Numerical computation

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