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中国科学院大学学报 ›› 2013, Vol. 30 ›› Issue (3): 304-310.DOI: 10.7523/j.issn.1002-1175.2013.03.004

• 物理学 • 上一篇    下一篇

平行平板间导电流体的磁流体动力学稳定性

Zakir Hussain, 刘婵, 倪明玖, 张年梅   

  1. 中国科学院大学物理学院, 北京 100190
  • 收稿日期:2012-06-11 修回日期:2012-09-19 发布日期:2013-05-15
  • 通讯作者: ZHANG Nian-Mei, E-mail: nmzhang@ucas.ac.cn
  • 基金资助:

    Supported by Fund of National Natural Science in China (50936066,11125212)

Magnetohydrodynamic instability of electrically conducting fluid between parallel plates

ZAKIR Hussain, LIU Chan, NI Ming-Jiu, ZHANG Nian-Mei   

  1. School of Physics, University of Chinese Academy Sciences, Beijing 100190, China
  • Received:2012-06-11 Revised:2012-09-19 Published:2013-05-15

摘要:

采用Chebyshev配置点法研究平行平板间的导电流体在外加横向磁场作用下的动力稳定性. 通过求解广义Orr-Sommerfeld方程的特征值问题,利用QZ法获取中性曲线,详细分析时间模式下磁流体线性稳定性,研究磁场Hartmann数、Reynolds数、波数和增长率对稳定性的作用.

关键词: 线性稳定性, 导电流体, Chebyshev配置点法

Abstract:

Instability of an electrically conducting fluid between two parallel plates, affected by an imposed transversal magnetic field, is numerically investigated by Chebyshev collocation method. The QZ method is utilized to obtain neutral curves of the linear instability. Details of instability are analyzed by solving the generalized Orr-Sommerfeld equation to determine the wavenumbers, growth rates, and spatial shapes of the eigenmodes.

Key words: linear instability, electrically conducting fluid, Chebyshev collocation method

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