留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

电磁力控制下圆柱绕流的涡度拟能

张辉 范宝春 陈志华

张辉, 范宝春, 陈志华. 电磁力控制下圆柱绕流的涡度拟能[J]. 应用数学和力学, 2008, 29(11): 1365-1375.
引用本文: 张辉, 范宝春, 陈志华. 电磁力控制下圆柱绕流的涡度拟能[J]. 应用数学和力学, 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.

电磁力控制下圆柱绕流的涡度拟能

详细信息
    作者简介:

    张辉(1981- ),男,江苏徐州人,博士生(Tel:+86-25-84303236);范宝春(1945- ),男,江苏扬州人,教授,博士生导师(联系人.Tel:+86-25-84303235;E-mail:bcfan@mail.njust.edu.cn).

  • 中图分类号: O361

Evolution of Global Enstrophy in Cylinder Wake Controlled by Lorentz Force

  • 摘要: Okubo-Weiss函数与流元的容变、畸变以及涡量相关,可以用来评估流场的涡结构.经该文数学证明,对于边界无滑移的,低Reynolds数的二维不可压缩流动,Okubo-Weiss函数的全流场积分为0.还以电磁控制的圆柱绕流为例,通过数值计算,对该结论进行了验证.根据计算结果,依据Okubo-Weiss函数值,对流场进行了划分,讨论了总涡度拟能、总变形率和Okubo-Weiss函数在流场中的分布规律,以及电磁力对分布的影响.
  • [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.
  • 加载中
计量
  • 文章访问数:  2039
  • HTML全文浏览量:  51
  • PDF下载量:  1143
  • 被引次数: 0
出版历程
  • 收稿日期:  2007-10-12
  • 修回日期:  2008-10-08
  • 刊出日期:  2008-11-15

目录

    /

    返回文章
    返回