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Hall effect on thermosolutal instability of Walters’ (Model B′) fluid in porous medium

2010/10/13 by Rajni Sharma, Sunil, Sharma, R.C. +2
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fluid Dynamics and Turbulent Flows #Hall effect #Nanofluid Flow and Heat Transfer #Walters’ (Model B′) fluid #porous medium #thermosolutal instability

paper · doi:10.24423/aom.82

openalex publication_date 2010/10/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/01

Abstract

The thermosolutal instability of Walters’ (Model B′) fluid in porous medium is considered in the presence of uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the stable solute gradient and magnetic field have stabilizing effects on the system, whereas the Hall currents have destabilizing effect on the system. The medium permeability has both stabilizing and destabilizing effects on the system depending on the Hall parameter M. The kinematic viscoelasticity has no effect for stationary convection. The kinematic viscoelasticity, stable solute gradient and magnetic field (and the corresponding Hall currents) introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.

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