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首页> 外文期刊>Applied Mechanics and Engineering >HALL EFFECT ON THERMAL STABILITY OF FERROMAGNETIC FLUID IN THE PRESENCE OF SUSPENDED PARTICLES
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HALL EFFECT ON THERMAL STABILITY OF FERROMAGNETIC FLUID IN THE PRESENCE OF SUSPENDED PARTICLES

机译：悬浮颗粒对铁磁流体热稳定性的霍尔效应

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摘要

This paper deals with the theoretical investigation of the effect of Hall currents and suspended particles on the thermal stability of a ferromagnetic fluid heated from below. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. A dispersion relation governing the effects of suspended particles and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field has a stabilizing effect, whereas the suspended particles and Hall currents are found to have a destabilizing effect on the system. The critical Rayleigh numbers and wave numbers of the associated disturbances for the onset of stability as stationary convection are obtained. The principle of exchange of stabilities is not valid for the problem under consideration, whereas in the absence of Hall currents (hence magnetic field), it is valid under certain conditions.
机译：本文研究了霍尔电流和悬浮粒子对从下方加热的铁磁流体的热稳定性的影响的理论研究。对于两个自由边界之间的流体层，使用线性化稳定性理论和法向模式分析可获得精确解。得出了控制悬浮粒子和霍尔电流影响的色散关系。对于固定对流的情况，发现磁场具有稳定作用，而悬浮颗粒和霍尔电流则对系统具有稳定作用。获得了稳定的稳定对流时，相关扰动的临界瑞利数和波数。交换稳定性的原理对于所考虑的问题无效，而在没有霍尔电流（因此没有磁场）的情况下，它在某些条件下有效。

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