LIN Jian-zhong, ZHANG Ling-xin. Numerical Simulation of Orientation Distribution Function of Cylindrical Particle Suspensions[J]. Applied Mathematics and Mechanics, 2002, 23(8): 805-810.
 Citation: LIN Jian-zhong, ZHANG Ling-xin. Numerical Simulation of Orientation Distribution Function of Cylindrical Particle Suspensions[J]. Applied Mathematics and Mechanics, 2002, 23(8): 805-810.

# Numerical Simulation of Orientation Distribution Function of Cylindrical Particle Suspensions

• Rev Recd Date: 2002-03-26
• Publish Date: 2002-08-15
• The orientation distribution function of cylindrical particle suspensions was deduced and numerically simulated,and an application was taken in a wedge-shaped flow field.The relationship between the orientation distribution function and particle orientation angles was obtained.The results show that comparing with the most probable angle distribution which comes to being in short time, the distribution of the steady state doesn.t vary much in range;the main difference is the anti-clockwise rotation in the right and upper field,that is,particles rotate more at the points where the velocity gradients are larger.The most probable orientations are close to the direction of local streamlines. In the direction of streamlines,with poleradius decreasing,the most probable angles increase,but the angles between their orientations and the local streamlines decrease.
•  [1] Givler R C, Crochet M J, Pipes R B. Numerical prediction for fiber orientation in dilute suspensions[J]. J Compos Mat,1983,17:330-343. [2] Givler R C. A numerical technique for the prediction of short fiber orientation resulting from the suspension flow[A]. In: Chen M M, Mazumdar J, Tucker C L Eds. Transport Phenomena in Material Processing[C]. New York: ASME,1983,99-103. [3] Folgar F P, Tucker C L. Orientation behavior of fibers in concentrated suspensions[J]. J Reinf Plast Compos,1984,3:98-119. [4] Jackson W C, Folgar F, Tucker C L. Prediction and control of fiber orientation in molded parts[A]. In: Han C D Ed. Polymer Blends and Composites in Multiphase Systems[C]. Washington: Adv Chem Ser,1984,279-181. [5] LIN Jian-zhong, ZHANG Ling-xin, WANG Ye-long. Research on the distribution function and orientation tensors of fiber suspensions in wedge-shaped flow field[J]. J Hydrodynamics,2002,14(1):23-29. [6] Jackson W C, Advani S G, Tucker C L. Prediction for the orientation of short fibers in thin compression molding[J]. J Compos Materials,1986,20:539-557.

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