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首页> 外文期刊>Applied Mechanics and Engineering >EFFECT OF MAGNETIC FIELD ON THERMAL INSTABILITY OF OLDROYDIAN VISCOELASTIC ROTATING FLUID IN POROUS MEDIUM
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EFFECT OF MAGNETIC FIELD ON THERMAL INSTABILITY OF OLDROYDIAN VISCOELASTIC ROTATING FLUID IN POROUS MEDIUM

机译：磁场对多孔介质中旧罗氏粘弹性旋转流体的热不稳定性的影响

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摘要

In this paper, we investigate the effect of a vertical magnetic field on thermal instability of an Oldroydian visco-elastic rotating fluid in a porous medium. By applying the normal mode analysis method, the dispersion relation governing the effects of rotation, magnetic field and medium permeability is derived and solved analytically and numerically. For the case of stationary convection, the Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has a stabilizing effect while the magnetic field and medium permeability have a stabilizing/destabilizing effect under certain conditions on thermal instability of the Oldroydian viscoelastic fluid in a porous medium. The oscillatory modes are introduced due to the presence of rotation, the magnetic field and gravity field. It is also observed that the 'principle of exchange of stability' is invalid in the presence of rotation and the magnetic field.
机译：在本文中，我们研究了垂直磁场对多孔介质中Oldroydian粘弹性旋转流体的热不稳定性的影响。通过应用正态分析方法，导出了控制旋转，磁场和介质磁导率影响的色散关系，并进行了解析和数值求解。对于固定对流，Oldroydian粘弹性流体的行为类似于普通的牛顿流体，并且观察到旋转具有稳定作用，而磁场和中等磁导率在一定条件下对Oldroydian粘弹性的热不稳定性具有稳定/去稳定作用多孔介质中的流体。由于存在旋转，磁场和重力场而引入了振荡模式。还观察到，在存在旋转和磁场的情况下，“稳定性交换原理”是无效的。

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