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Distribution of Orientations in Fibre Suspension Flowing in a Turbulent Boundary Layer |
| LIN Jian-Zhong1;SUN Ke1;LIN Jiang2 |
| 1Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027
2Department of Mechanical Engineering, Zhejiang University of Science and Technology, Hangzhou 310012 |
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| Cite this article: |
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LIN Jian-Zhong, SUN Ke, LIN Jiang 2005 Chin. Phys. Lett. 22 3111-3114 |
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Abstract The equation of probability distribution function for mean fibre orientation in a turbulent boundary layer is derived, in which the correlation terms of the fluctuating velocity, fluctuating angular velocity with the fluctuating probability distribution function are related to the gradient of mean probability distribution function and the dispersion coefficients in order to make the equation be solvable. The finite-difference method is used to solve the equation numerically. The results show that the fibres tend to align with the streamline, which is in agreement qualitatively with the experimental result given by visualization. The fibre aspect-ratio has a significant effect on the orientation distribution of fibres, while the effect of the distance from the wall is negligible.
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| Keywords:
47.55.Kf
47.27.Nz
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Published: 01 December 2005
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