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Stability analysis of convective flows in a spherical gap under the influence of axial and dipolar magnetic fields

机译:轴向间隙和偶极磁场对球形间隙中对流流动的稳定性分析

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This paper describes a numerical investigation of the influence of axial and dipolar magnetic fields on the stability of the convective flow of an electrically conductive Boussinesq fluid in a spherical gap for the radius ratios η = inner radius/outer radius = 0.4, 0.5, and 0.6. The inner shell is warmer than the outer shell. We show that whereas the axial magnetic field stabilizes the flow for low Hartmann numbers, a destabilizing effect is detected if the magnetic field increases. On the other hand, numerical analysis shows that the dipolar magnetic field configuration stabilizes the flow. The critical wave number, m_c, is much higher than that for the axial magnetic field. The critical Grashof numbers are presented as a function of the Hartmann number for both configurations of the B-field. The stability analysis is accompanied by calculations of the 3D flows.
机译:本文描述了在半径比η=内半径/外半径= 0.4、0.5和0.6的情况下轴向和偶极磁场对球形间隙中导电Boussinesq流体对流流动稳定性影响的数值研究。内壳比外壳要热。我们表明,尽管轴向磁场使低Hartmann数稳定了流动,但如果磁场增加,则会检测到不稳定作用。另一方面,数值分析表明,偶极磁场构造使流动稳定。临界波数m_c远远高于轴向磁场的波数。对于B场的两种配置,临界Grashof数都是Hartmann数的函数。稳定性分析伴随着3D流量的计算。

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