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.
References
Christonpherson, D. G. and Dowson, D., 1959, An example of minimum energy dissipation in viscous flow.Proc. R. Soc., A251:550–564.
Feng, J., Hu, H. H. and Joseph, D. D., 1994. Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid, Part 1. Sedimentation.J. Fluid Mech.,261: 95–134.
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.
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.
Hu, H. H., Joseph, D. D. and Crochet, M. J., 1992. Direct simulation of fluid particle motions.Theor. Comp. Fluid Dyn.,3: 285–306.
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.
Patankar, N. A., 1997. Numerical simulation of particulate two-phase flow. Ph.D. thesis. University of Pennsylvania, Pennsylvania.
Suker, D. and Brauer, H., 1975. Fluiddynamik bei quer angeströmten Zylindern.Wärme-und Stoffübertragung,8:149–158.
Tachibana, M., 1973. On the behaviour of a sphere in the laminar tube flows.Rheol. Acta,12: 58–69.
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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Project supported by the National Natural Science Foundation of China (No. 19925210) and Zhejiang Provincial Natural Science Foundation (No. 101047)
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Xue-ming, S., Jian-zhong, L. & Zhao-sheng, Y. Sedimentation of a single particle between two parallel walls. J. Zheijang Univ.-Sci. 5, 111–116 (2004). https://doi.org/10.1631/BF02839322
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DOI: https://doi.org/10.1631/BF02839322