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首页> 外文期刊>Applied Mechanics and Engineering >HALL EFFECT ON THERMAL INSTABILITY OF VISCOELASTIC DUSTY FLUID IN POROUS MEDIUM
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HALL EFFECT ON THERMAL INSTABILITY OF VISCOELASTIC DUSTY FLUID IN POROUS MEDIUM

机译：霍尔效应对多孔介质中粘弹性粉尘流体热不稳定性的影响

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摘要

The effect of Hall currents and suspended dusty particles on the hydromagnetic stability of a compressible, electrically conducting Rivlin-Ericksen elastico viscous fluid in a porous medium is considered. Following the linearized stability theory and normal mode analysis the dispersion relation is obtained. For the case of stationary convection, Hall currents and suspended particles are found to have destabilizing effects whereas compressibility and magnetic field have stabilizing effects on the system. The medium permeability, however, has stabilizing and destabilizing effects on thermal instability in contrast to its destabilizing effect in the absence of the magnetic field. The critical Rayleigh numbers and the wave numbers of the associated disturbances for the onset of instability as stationary convection are obtained and the behavior of various parameters on critical thermal Rayleigh numbers are depicted graphically. The magnetic field, Hall currents and viscoelasticity parameter are found to introduce oscillatory modes in the systems, which did not exist in the absence of these parameters.
机译：考虑了霍尔电流和悬浮的粉尘颗粒对多孔介质中可压缩导电Rivlin-Ericksen弹性粘性流体的水磁稳定性的影响。根据线性化稳定性理论和正态分析，获得了色散关系。对于固定对流，霍尔电流和悬浮颗粒被发现具有稳定作用，而可压缩性和磁场对系统具有稳定作用。然而，与不存在磁场的情况下的介质稳定作用相反，介质磁导率对热不稳定性具有稳定作用和不稳定作用。获得了由于稳定对流而引起的不稳定状态的临界瑞利数和相关扰动的波数，并以图形方式描绘了各种参数对临界热瑞利数的行为。发现磁场，霍尔电流和粘弹性参数在系统中引入了振荡模式，在没有这些参数的情况下是不存在的。

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