磁场中的Benard不稳定性

INSTABILITY OF BENARD IN MAGNETIC FIELD

对处在磁场中的薄层流体在Boussinesq近似下,用线性稳定性分析的方法,讨论了磁场中临界Rayleigh数R_c的影响。用简捷的方法给出了弱磁场情况下的临界Ratleigh数R_c与流体所在磁场强度H_o的函数关系。从而证明了磁场对流体的致稳效应。

In the present paper, using linear stability analysis, in the Boussinesq approximation, we studied the effect of magnetic field on the critical Rayleigh number Re. Under the condition of a weak magnetic field, by using a simple and direct method, the functional relation between the critical Rayleigh number R_c and magnetic intensity H_o was given. Thus, we proved the causing stable effeet on the fluid by the magnetic field.