Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force

ZHANG Hui; FAN Bao-chun; CHEN Zhi-hua

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(11): 1365-1375

ZHANG Hui, FAN Bao-chun, CHEN Zhi-hua. Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1365-1375.

Citation:

ZHANG Hui, FAN Bao-chun, CHEN Zhi-hua. Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1365-1375.

Citation:

ZHANG Hui, FAN Bao-chun, CHEN Zhi-hua. Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1365-1375.

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Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force

Laboratory of Transient Physics, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

Received Date: 2007-10-12
Rev Recd Date: 2008-10-08
Publish Date: 2008-11-15

Abstract

Abstract

The Okubo-Weiss function is correlated with the fluid particle compression, deformation and vorticity, which provides a simple way to characterize the different regions of flowfield. It had been proved mathematically that the global integration of Okubo-Weiss function is always equal to zero for a two dimensional incompressible flow with no-slip boundaries. Moreover, as an example to validate above conclusion, the flow past a circular cylinder controlled by electromagnetic force was calculated numerically. The distributions of global enstrophy, total squared strain and Okubo-Weiss function in controlled flowfield were discussed, and the influences of Lorentz force on them were also analyzed.
- enstrophy,
- strain,
- cylinder wake,
- electromagnetic force

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References(17)

References

[1]	Kraichnan R H. Inertial ranges in two-dimensional turbulence[J].Phys Fluids,1967,10(7): 1417-1423. doi: 10.1063/1.1762301
[2]	Hua B L, Haidvogel D.Numerical simulations of the vertical structure of quasi-geostrophic turbulence[J].J Atmos Sci,1986,43(23):2923-2936. doi: 10.1175/1520-0469(1986)043<2923:NSOTVS>2.0.CO;2
[3]	Provenzale A. Transport by coherent barotropic vortices[J].Annu Rev Fluid Mech,1999,31:55-93. doi: 10.1146/annurev.fluid.31.1.55
[4]	Okubo A. Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences[J].Deep-Sea Res,1970,17(3):45-454.
[5]	Weiss J. The dynamics of enstrophy transfer in two-dimensional hydrodynamics[J].Physica D,1991,48(2):273-294. doi: 10.1016/0167-2789(91)90088-Q
[6]	Basdevant C, Philipovitch T. On the validity of the “Weiss criterion” in two-dimensional turbulence[J].Physica D,1994,73(1):17-30. doi: 10.1016/0167-2789(94)90222-4
[7]	Elhmaidi D, Provenzale A, Babiano A. Elementary topology of two-dimensional turbulence from a Lagrangian viewpoint and single-particle dispersion[J].J Fluid Mech,1993,257:533-558. doi: 10.1017/S0022112093003192
[8]	Jeong J, Hussain F. On the identification of a vortex[J].J Fluid Mech,1995,285:69-94. doi: 10.1017/S0022112095000462
[9]	Zavala Sansón L, Sheinbaum J.Elementary properties of the enstrophy and strain fields in confined two-dimensional flows[J].European Journal of Mechanics,2008,27(1):54-61. doi: 10.1016/j.euromechflu.2007.04.002
[10]	Gailitis A, Lielausis O. On a possibility to reduce the hydrodynamical resistance of a plate in an electrolyte [J].Applied Magnetohydrodynamics,1961,12:143-146.
[11]	Weier T, Gerbeth G, Posdziedch O,et al.Experiments on cylinder wake stabilization in an electrolyte solution by means of electromagnetic forces localized on the cylinder surface[J].Experimental Thermal and Fluid Science,1998,16(1):84-91. doi: 10.1016/S0894-1777(97)10008-5
[12]	Kim S J, Lee C M.Investigation of the flow around a circular cylinder under the influence of an electromagnetic force[J].Experiments in Fluids,2000,28:252-260. doi: 10.1007/s003480050385
[13]	Posdziech O, Grundmann R.Electromagnetic control of seawater flow around circular cylinders[J].European Journal of Mechanics B/Fluid,2001,20(2):255-274. doi: 10.1016/S0997-7546(00)01111-0
[14]	陈志华, 范宝春.包覆电磁场激活板的圆柱尾迹的数值研究[J]. 力学学报,2002,34(6): 978-983.
[15]	周本谋，范宝春，陈志华, 等.流体边界层上电磁力的控制效应研究[J].力学学报,2004,36(4):472-478.
[16]	Zhang H, Fan B-C, Chen Z-H,et al.Open-loop and optimal control of cylinder wake via electro-magnetic fields[J].Chinese Science Bulletin,2008,53(19):2496-2952. doi: 10.1007/s11434-008-0321-6
[17]	Zhang H, Fan B-C,Chen Z-H,et al.Suppression of flow separation around a circular cylinder by utilizing Lorentz force[J].China Ocean Engineering,2008,22(1):87-95.