中文摘要：

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.

英文摘要：

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.