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Journal of Zhejiang University SCIENCE A 2004 Vol.5 No.1 P.111-116

http://doi.org/10.1631/jzus.2004.0111


Sedimentation of a single particle between two parallel walls


Author(s):  SHAO Xue-ming, LIN Jian-zhong, YU Zhao-sheng

Affiliation(s):  Department of Mechanics, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   mecsxm@public.zju.edu.cn

Key Words:  Sedimentation, Circular particle, Distributed Lagrange multiplier/fictitious domain method


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SHAO Xue-ming, LIN Jian-zhong, YU Zhao-sheng. Sedimentation of a single particle between two parallel walls[J]. Journal of Zhejiang University Science A, 2004, 5(1): 111-116.

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DOI - 10.1631/jzus.2004.0111


Abstract: 
The sedimentation of a single circular particle between two parallel walls was studied by means of direct numerical simulation (DNS) and experiment. The improved implementation of distributed Lagrange multiplier/fictitious domain method used in our DNS is a promising new way for simulation of particulate flows. The settling behaviors of the particle are presented ranging in Reynolds number from 0 to about 700, which showed that our results for low Reynolds numbers agreed well with that reported before. Nevertheless, for higher Reynolds numbers our results were different from theirs. The long-term mean equilibrium positions in our results were all on the centerline, but not at off-center position as reported before. In order to validate our simulation, experiments were also conducted. The results showed that the sedimenting behavior simulated in this paper agreed well with our experiment result.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

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[3] Glowinski, R., Pan, T. W., Hesla, T. I. and Joseph, D.D., 1999. A distributed Lagrange multiplier/fictitious domain methos for particulate flows. Int. J. Multiphase Flow, 25:755-794.

[4] Glowinski, R., Pan, T. W., Hesla, T. I., Joseph, D.D. and Periaux, J., 2001. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow. J. Comp. Phys., 169:363-426.

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[6] Lin, J.Z., Zhang, W.F. and Wang, Y.L., 2002. Research on the orientation distribution of fibers immersed in a pipe flow. J. Zhejiang Univ. Sci., 3(5):501-506.

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[8] Suker, D. and Brauer, H., 1975. Fluiddynamik bei quer angestrmten Zylindern. Wrme-und Stoffuertragung, 8:149-158.

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[10] Vasseur, P. and Cox, R. G., 1977. The lateral migration of spherical particles sedimenting in a stagnant bounded fluid. J. Fluid Mech., 80:561-591.

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