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旋转分层导电流体的双扩散磁流体动力学不稳定性
引用本文:马石庄.旋转分层导电流体的双扩散磁流体动力学不稳定性[J].地球物理学报,1993,36(5):579-588.
作者姓名:马石庄
作者单位:中国科学院地球物理研究所, 北京 100101;中国科学院测量与地球物理研究所动力大地测量学开放研究实验室, 武汉 430077
摘    要:本文研究了双扩散效应对处于地球物理极限q→0条件下旋转分层导电流体的磁流体动力学(MHD)不稳定性的影响。研究发现,只要|RS|足够大,对流总能在流体静力稳定分层的导电流体中发展。当磁场作用较弱,即Λ~Ο(1)时,对所有可能的角向波数m优先发展的是双扩散不稳定性。当Rs>0时,流体中发生几乎不变的“指状”对流。当Rs<0时,流体中发生缓慢东向运行的“扩散”振荡。当磁场作用较强,即Λ≥ΛM时,与原始Soward模式类似,优先发展的仅是m=1磁力驱动不稳定性,并东向运行,但双扩散效应使得正RT不稳定性与负RT不稳定性间的对称性破缺。

关 键 词:导电流体  双扩散对流  核幔边界  
收稿时间:1992-04-09

DOUBLE-DIFFUSIVE AND MHD INSTABILITIES IN A ROTATING STRATIFIED CONDUCTING FLUID LAYER
MA SHI-ZHUANG.DOUBLE-DIFFUSIVE AND MHD INSTABILITIES IN A ROTATING STRATIFIED CONDUCTING FLUID LAYER[J].Chinese Journal of Geophysics,1993,36(5):579-588.
Authors:MA SHI-ZHUANG
Institution:Institute of Geophysics, Academia Sinica, Beijing 100101
Abstract:The role that double-diffusive effect measured as the compositional Rayleigh number Rs plays in the magnetohydrodynamic instabilities of the modified Soward's model of a routing stratified fluid layer in the geophysical limite 9→0 is investigated,in which q is the ratio of thermal and magnetic diffusiviues.It is found that the convection is almost always developed in the hydrostatically stable stratified fluid layer on condition that R,is large enough.The double-diffusive instability is predominated when the magnetic filed characterised by Chandrasenhkar number ∧is weak,or ∧-O (1),which takes the form of either quasis-steady "fingering" convection for Rs>0 or slow eastward propagating "diffusive" oscillation for Rs<0 and exists for all the mode m.When the magnetic field is strong,i.e.∧≥∧M,the double-diffusive stability is replaced by the magnetic driven instability which propagates eastward and exists only for the mode m=1 in a similar way to the prime Soward's model,but the symmetry between the positive RT instability and negtive RT instability is broken by the double-diffusive effect,in which RT is the thermal Rayleigh number.
Keywords:Conducting fluid  Double-diffusive convection  Earth's core-mantle boundary  
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