## 留言板

B·K·杰哈, C·A·阿佩雷. 计及Hall和离子滑移电流的旋转流体在与时间相关初值条件下的MHDCouette流动[J]. 应用数学和力学, 2012, 33(4): 379-389. doi: 10.3879/j.issn.1000-0887.2012.04.001
 引用本文: B·K·杰哈, C·A·阿佩雷. 计及Hall和离子滑移电流的旋转流体在与时间相关初值条件下的MHDCouette流动[J]. 应用数学和力学, 2012, 33(4): 379-389.
Basant K.Jha, Clement A.Apere. Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents[J]. Applied Mathematics and Mechanics, 2012, 33(4): 379-389. doi: 10.3879/j.issn.1000-0887.2012.04.001
 Citation: Basant K.Jha, Clement A.Apere. Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents[J]. Applied Mathematics and Mechanics, 2012, 33(4): 379-389.

## 计及Hall和离子滑移电流的旋转流体在与时间相关初值条件下的MHDCouette流动

##### doi: 10.3879/j.issn.1000-0887.2012.04.001

• 中图分类号: O357.1

## Time-Dependent MHD Couette Flow of a Rotating Fluid With Hall and Ion-Slip Currents

• 摘要: 考虑Hall和离子滑移电流的影响，在旋转系统中研究导电流体非稳定的MHD Couette流动．在小数值磁场Reynolds数假定下，推导出基本的控制方程，使用著名的Laplace变换技术，数值地求解该基本方程．分两种情况：磁场相对于流体或者移动平板固定时，得到速度和表面摩擦力统一的闭式表达式．用图形讨论了问题的不同参数，对速度和表面摩擦力的影响．所得结果显示，主流速度u和次生速度v随着Hall电流而增大．离子滑移电流的增大，也会导致主流速度u的增大，但会使次生速度v减小．还给出了旋转、Hall和离子滑移参数的综合影响，确定了次生运动对流体流动的贡献．
•  [1] Abo-Eldahab E M, El Aziz M A. Viscous dissipation and Joule heating effects on MHD-free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents[J]. Appl Math Modelling, 2005, 29(6): 579-595. [2] Singh A K, Kumar N. Unsteady hydromagnetic Couette flow[J]. Wear, 1983, 89: 125-129. [3] Singh A K, Sacheti N C, Chandran P. Transient effects on magnetohydrodynamics Couette flow with rotation: accelerated motion[J]. Int J Engng Sci, 1994, 32(1): 133-139. [4] Seth G S, Jana R N, Maiti M K. Unsteady hydromagnetic Couette flow in a rotating system[J]. Int J Engng Sci, 1982, 20(9): 989-999. [5] Guria M, Jana R N, Ghosh S K. Unsteady Couette flow in a rotating system[J]. Int J Non-Linear Mech, 2006, 41(7/8): 838-843. [6] Guria M, Jana R N, Ghosh S K. Oscillatory Couette flow in the presence of an inclined magnetic field[J]. Meccanica, 2009, 44(5): 555-564. [7] Seth G S, Nandkeolyar R, Mahto N, Singh S K. MHD Couette flow in a rotating system in the presence of an inclined magnetic field[J]. Appl Math Sci, 2009, 3(59): 2919-2932. [8] Das S, Maji S L, Guria M, Jana R N. Unsteady MHD Couette flow in a rotating system[J]. Mathematical and Computer Modelling, 2009, 50(7/8): 1211-1217. [9] Sutton G, Sherman A. Engineering Magnetohydrodynamics[M]. New York: McGraw-Hill, 1965. [10] Tillack M S, Morley N B. Standard Handbook for Electrical Engineers: Magnetodynamics[M]. New York: McGraw-Hill, 1998. [11] Deka R K. Hall effects on MHD flow past an accelerated plate[J]. Theoret Appl Mech, 2008, 35(4): 333-346. [12] Mazumdar B S. Combined effect of Hall current and rotation on hydromagnetic flow over an oscillating porous plate[J]. Int J Engng Sci, 1977, 15(9/10): 601-606. [13] Ghosh S K. Effect of Hall current on MHD Couette flow in a rotating system with arbitrary magnetic field[J]. Czechoslov J Phys, 2002, 52(1): 51-63. [14] Ghosh S K, Pop I. Hall effects on MHD Couette flow in a rotating environment[J]. Int J Appl Mech Eng, 2004, 9: 293-304. [15] Debnath L, Ray S C, Chatterjee A K. Effect of hall current and rotation on unsteady hydromagnetic flow past a porous plate in a rotating system[J]. ZAMM, 1979, 59: 469-471. [16] Mandal G, Mandal K K. Effect of Hall current on MHD Couette flow between thick arbitrarily conducting plate in a rotating system[J]. J Phys Soc Japan, 1983, 52(2): 470-477. [17] Tiwari R, Singh K. Effect of Hall current on unsteady hydromagnetic boundary layers in rotating dusty fluid[J]. Indian J Pure Appl Math, 1983, 14(1): 159-165. [18] Ghosh S K, Pop I. Hall effects on unsteady hydromagnetic flow in a rotating system with oscillatory pressure gradient[J]. Int J Appl Mech Eng, 2003, 8: 43-56. [19] Attia H A. MHD Couette flow with temperature dependent viscosity and the ion-slip[J]. Tamkang J of Sci and Engng, 2005, 8(1): 11-16. [20] Attia H A. Unsteady Couette flow with heat transfer considering ion-slip[J].Turk J Phys, 2005, 29(6): 379-388. [21] Ram P C. Effects of Hall and ion-slip currents on free convective heat generating flow in a rotating fluid[J]. Int J of Energy Research, 1995, 19(5): 371-376. [22] Jha B K, Apere C A. Combined effect of Hall and ion-slip currents on unsteady MHD Couette flow in a rotating system[J]. J Phys Soc Japan, 2010, 79(10): 104401/1-9.
##### 计量
• 文章访问数:  1435
• HTML全文浏览量:  66
• PDF下载量:  733
• 被引次数: 0
##### 出版历程
• 收稿日期:  2011-06-06
• 修回日期:  2011-12-16
• 刊出日期:  2012-04-15

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈