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首页> 外文期刊>International Journal of Heat and Mass Transfer >Influence of an axial magnetic field on the stability of convective flows between non-isothermal concentric spheres
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Influence of an axial magnetic field on the stability of convective flows between non-isothermal concentric spheres

机译：轴向磁场对非等温同心球之间对流流动稳定性的影响

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摘要

This paper deals with the linear stability analysis of the convective flow of an electrically conducting fluid in a spherical gap in the presence of an axial magnetic field which is parallel to the vector of gravitational acceleration. The inner shell is warmer then the outer one (T_1 > T_2). The numerical investigations are performed for the radii ratios η = R_1/R_2 = 0.4-0.8. The corresponding stability diagrams, i.e. the critical values of the Grashof number Gr_c and the wave number m_c, are presented in dependence on the Hartmann number Ha. We show that the critical Grashof number decreases with increasing η in the case of absence of the magnetic field. A steady axial magnetic field stabilizes the flow, i.e. Gr_c increases with the Hartmann number Ha for each η investigated. The instability sets in either as a Hopf bifurcation or a steady pitchfork bifurcation in dependence on η and Ha. The stability analysis is accompanied by simulation of the three-dimensional states. We found that according to the bifurcation type there are two classes of 3D states: steady and oscillatory. Consequences of the symmetry with respect to ±Φ direction are discussed.
机译：本文研究了在存在平行于重力加速度矢量的轴向磁场的情况下，球形间隙中导电流体的对流的线性稳定性分析。内壳比外壳要热（T_1> T_2）。对半径比η= R_1 / R_2 = 0.4-0.8进行了数值研究。根据哈特曼数Ha给出相应的稳定性图，即Grashof数Gr_c和波数m_c的临界值。我们表明，在没有磁场的情况下，临界Grashof数随η的增加而减小。稳定的轴向磁场使流量稳定，即对于每个η，Gr_c随哈特曼数Ha的增加而增加。取决于η和Ha，不稳定性可以设置为Hopf分叉或稳定的干草叉分叉。稳定性分析伴随着三维状态的模拟。我们发现，根据分叉类型，存在两类3D状态：稳定状态和振荡状态。讨论了关于±Φ方向对称的后果。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2012年第26期|p.7520-7531|共12页
  • 作者

    V. Travnikov; K. Eckert; S. Odenbach;

  • 作者单位

    Technische Universitaet Dresden, Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, 01062 Dresden, Germany;

    Technische Universitaet Dresden, Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, 01062 Dresden, Germany;

    Technische Universitaet Dresden, Institute of Fluid Mechanics, Chair of Magnetofluiddynamics, 01062 Dresden, Germany;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    natural convection; magnetofluiddynamics; spectral methods; linear stability;

    机译：自然对流;磁流体动力学光谱方法线性稳定性;

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