首页> 外文会议>2014 Recent Advances in Engineering and Computational Sciences >Magneto-convection of a stratified dusty Rivlin-Ericksen fluid in porous medium: An analytical and computational study for moderate and high rotation
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Magneto-convection of a stratified dusty Rivlin-Ericksen fluid in porous medium: An analytical and computational study for moderate and high rotation

机译:多孔介质中分层粉尘状Rivlin-Ericksen流体的磁对流:中高旋转的分析和计算研究

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摘要

To study the conflicting tendencies of rotation and magnetic field while acting together and keeping in mind the applications of flow through porous medium in geophysics, particularly in the study of earth's core and the presence of dust/suspended particles therein; the hydromagnetic stability of stratified Rivlin-Ericksen fluid-particle mixture in the presence of rotation in porous medium is considered. The relevant hydromagnetic equations are linearized using Boussinesq approximation and the perturbed quantities are analysed in terms of normal modes. Dispersion relation governing the effects of rotation, magnetic field, medium permeability and suspended particles is derived. The system is found to be stable for the case of stable stratification. For the case of unstable stratification, magnetic field succeeds in stabilizing the otherwise unstable system for certain wave number range. Computational study has been carried out to discuss the behavior of growth rates with respect to kinematic viscoelasticity, Alfvén velocity, medium permeability and suspended particles for moderate as well as high rotation.
机译:研究旋转和磁场在相互作用时的相互矛盾的趋势,并牢记通过多孔介质的流动在地球物理学中的应用,特别是在研究地球核心以及其中存在粉尘/悬浮颗粒的情况下;考虑了多孔介质中旋转条件下分层的Rivlin-Ericksen流体-颗粒混合物的水磁稳定性。使用Boussinesq逼近法将相关的水磁方程线性化,并根据正态模式分析扰动量。得出了控制旋转,磁场,介质磁导率和悬浮粒子影响的色散关系。对于稳定分层的情况,发现该系统是稳定的。对于不稳定的分层,磁场可以在某些波数范围内成功地稳定原本不稳定的系统。已经进行了计算研究,以讨论相对于运动粘弹性,Alfvén速度,中等渗透性和中度以及高旋转度的悬浮颗粒的增长率的行为。

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