Please wait a minute...
img

Wechat

Adv search
JOURNAL OF DESERT RESEARCH  2010, Vol. 30 Issue (3): 498-504    DOI:
沙漠与沙漠化     
Numerical Study on Magnus Effect in Wind-blown Sand Movement
ZHANG Shu, HU Zan-yuan, L Zhi-yong
Key Flow Mechanics Lab of Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Download:  PDF (3929KB) 
Export:  BibTeX | EndNote (RIS)      
Abstract  In the course of wind-blown sand movement, sand particles usually leap with high-speed rotation, which generates lift force called Magnus effect. The Magnus force upon a single rotating sphere was investigated by means of numerical simulation for Re (Reynolds number) from 0.1 to 400 and rotational speeds from 100 to 1 000 rev·s-1. Results were compared with Magnus Force Formula deduced by Rubinow & Keller. For Re between 0.1 and 200, lift was in proportion with rotating speed, and it declined with the increase of Re. Meanwhile, Magnus effect has relation with the flow field patterns of a fixed sphere in a uniform flow: for attached flows, the lift coefficient ratio K by numerical simulation result and the Magnus Force Formula result declined with the increase of Re, and it reached a minimum value at Re=20~30; for symmetrically separated flows, however, K ascended with the increase of Re. At a higher Re of over 200, lift force caused by asymmetrical flow becomes greater than the Magnus force, but the Magnus effect can not be neglected. According to the numerical simulation results, an amending to the Magnus Force Formula was obtained. Since velocity gradient and Magnus force have no coupling effect, the impact of Magnus effect and velocity gradient on lift force can be linear superposed.
Key words:  Magnus effect      flow patterns      asymmetric lift force      formula revision      velocity gradient     
Received:  15 October 2009      Published:  20 May 2010
ZTFLH:  X169  
Articles by authors
ZHANG Shu
HU Zan-yuan
L Zhi-yong

Cite this article: 

ZHANG Shu;HU Zan-yuan;L Zhi-yong. Numerical Study on Magnus Effect in Wind-blown Sand Movement. JOURNAL OF DESERT RESEARCH, 2010, 30(3): 498-504.

URL: 

http://www.desert.ac.cn/EN/     OR     http://www.desert.ac.cn/EN/Y2010/V30/I3/498

[1]Bagnold R A. The Physics of Blown Sands and Desert Duns[M]. London: Mathuen & Co Ltd,1941.
[2]Chepil W S. The Physics of Wind Erosion and Its Control[J]. Adren in Agron,1963, 15:211-302.
[3]吴正. 风沙地貌学[M]. 北京:科学出版社,1987.
[4]Bruce R, White J, Schulz C. Magnus effect in saltation[J]. J Fluid Mech,1977,81(3):497-512.
[5]倪晋仁,李振山.风沙两相流理论及其应用[M].北京:科学出版社,2006.
[6]Rubinow S I, Keller J B. The transverse force on a spinning sphere moving in a viscous fluid[J]. J Fluid Mech,1961,11:447-459.
[7]Oesterle B, Bui Dinh T. Experimental on the lift of a spinning sphere in a range of intermediate Reynolds numbers. Experiments in Fliuds,1998,25:16-22.
[8]Ben Salem M, Oesterle B A. Shear flow around a spinning sphere :numerical study at moderate Reynolds numbers[J]. Int J Multiphase Flow,1998,24(4):563-585.
[9]Kurose R, Komori S. Drag and lift forces on a rotating sphere in a linear shear flow[J]. J Fluid Mech,1999,384:183-206.
[10]Bagchi P, Balachandar S.. Shear Versus Vortex-induced lift force on a rigid sphere at Moderate Re[J]. J Fluid Mech,2002,473:379-388.
[11]You changfu, Qi Haiying, Xu Xuchang. Lift force on rotating sphere at low Reynolds numbers and high rotational speeds[J]. ACTA Mechanica Sinca,2003,19(4):300-307.
[12]Johnson T A, Patel C. Flow past a sphere up to a Reynolds number of 300[J]. J Fluid Mech,1999, 378:19-70.
[13]杨保.气流中颗粒阻力系数和升力系数的讨论[J].中国沙漠,1998,18(1):70-76.
[14]White F M. 黏性流体力学[M].魏中磊,甄思淼,译.北京:械工业出版社,1982:207.
No Suggested Reading articles found!