Rayleigh–Bénard instability in a vertical cylinder with a vertical magnetic field
Rayleigh–Bénard instability in a vertical cylinder with a vertical magnetic field
复制标题
具有垂直磁场的垂直圆柱体中的瑞利-贝纳德不稳定性
DOI：
10.1017/s0022112002001623
复制
发表时间：
2002
影响因子：
3.7
通讯作者：
John S. Walker
中科院分区：
文献类型：
--
作者：
B. Houchens;L. Witkowski;John S. Walker
本文给出了垂直圆柱体中导电液体的两种线性稳定性分析方法，该圆柱体具有绝热的垂直壁面和等温的上下壁面。有一个稳定均匀的垂直磁场。第一个线性稳定性分析涉及一种混合方法，该方法结合了顶部和底部壁附近哈特曼层的解析解和液体域其余部分的数值解。第二个线性稳定性分析涉及哈特曼数大值的渐近解。对于哈特曼数从零到无穷，可以用本文给出的两种解和先前的一种数值解对临界瑞利数进行精确的数值预测，该数值解对哈特曼数的小数值给出了精确的结果。
This paper presents two linear stability analyses for an electrically conducting liquid contained in a vertical cylinder with a thermally insulated vertical wall and with isothermal top and bottom walls. There is a steady uniform vertical magnetic field. The first linear stability analysis involves a hybrid approach which combines an analytical solution for the Hartmann layers adjacent to the top and bottom walls with a numerical solution for the rest of the liquid domain. The second linear stability analysis involves an asymptotic solution for large values of the Hartmann number. Numerically accurate predictions of the critical Rayleigh number can be obtained for Hartmann numbers from zero to infinity with the two solutions presented here and a previous numerical solution which gives accurate results for small values of the Hartmann number.