Abstract
Particle-laden water flows past a circular cylinder were numerically investigated. The discrete vortex method (DVM) was employed to evaluate the unsteady water flow fields and a Lagrangian approach was applied for tracking individual solid particles. A dispersion function was defined to represent the dispersion scale of the particle. The wake vortex patterns, the distributions and the time series of dispersion functions of particles with different Stokes numbers were obtained. Numerical results show that the particle distribution in the wake of the circular cylinder is closely related to the particle’s Stokes number and the structure of wake vortices: (1) the intermediate sized particles with Stokes numbers, St, of 0.25, 1.0 and 4.0 can not enter the vortex cores and concentrate near the peripheries of the vortex structures, (2) in the circular cylinder wake, the dispersion intensity of particles decreases as St is increased from 0.25 to 4.0.
Similar content being viewed by others
References
Stock David E. Particle dispersion in flowing gases—1994 free scholar lecture[J]. Journal of Fluid Engineering, 1996, 118(1):4–17.
Ling W, Chung J N, Troutt T R, et al. Direct numerical simulation of a three-dimensional temporal mixing layer with particle dispersion[J]. Journal of Fluid Mechanics, 1998, 358:61–85.
Narayanan Chidambaram, Lakahel Djamel, Yadigaroglu George. Linear stability analysis of particle-laden mixing layers using Lagrangian particle tracking[J]. Powder Technology, 2002, 125(2):122–130.
Uchiyama Tomomi, Arai Hikaru, Naruse Masaaki. Numerical study on solid-liquid two-phase flow around a circular cylinder using a vortex method[C]. In: Proceedings of the 1st Asian Particle Technology Symposium. Bangkok, Thailand, Dec.13–15, 2000.
Huang Yuandong, Wu Wenquan, Zhang Hongwu, Wang Guangqian. A numerical research into the influence of vortex on particle motion in unsteady and unstable liquid-particle two-phase flows[J]. Advances in Water Science, 2002, 13(1):1–8 (in Chinese).
Wu Wenquan, Sisto F. Vortex simulation of unsteady stall in a cascade with piecewise linearization and recorrection technique[C]. In: Taylor C, Habashi W G, Hafez M M (eds). Proceedings of the 5th International Conference on Numerical Methods in Laminar and Turbulent flow. Pineridge Press, Swansea, UK, 1987, 1686–1697.
Chorin A J. Numerical study of slightly viscous flow[J]. Journal of Fluid Mechanics, 1973, 57:785–796.
Sisto F, Wu Wenquan. Computational aerodynamics of oscillating cascade with the evolution of stall[J]. AIAA J, 1989, 27(4):462–471.
Ishill R, Umeda Y, Yuhi M. Numerical analysis of gas-particle two-phase flows[J]. Journal of Fluid Mechanics, 1989, 203:475–515.
Grant G, Tabakoff W. Erosion prediction in turbomachinery resulting from environmental solid particles[J]. Journal of Aircraft, 1975, 12(5):471–478.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by DAI Shi-qiang
Project supported by the National Natural Science Foundation of China (No.70371011) and the Science Development Foundation of Shanghai Municipal Commission of Education (No.03GK04)
Rights and permissions
About this article
Cite this article
Huang, Yd., Wu, Wq. Numerical study of particle distribution in wake of liquid-particle flows past a circular cylinder using discrete vortex method. Appl Math Mech 27, 535–542 (2006). https://doi.org/10.1007/s10483-006-0414-1
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/s10483-006-0414-1