scholarly journals Thermal Instability of a Couple-Stress Ferromagnetic Fluid in the Presence of Variable Gravity Field and Horizontal Magnetic Field with Hall Currents Saturating in a Porous Medium

2021 ◽  
Vol 23 (1) ◽  
Author(s):  
Sudhir Kumar Pundir ◽  
◽  
Pulkit Kumar Nadian ◽  
Rimple Pundir ◽  
◽  
...  
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Gravity Field ◽  
Couple Stress ◽  
Thermal Instability ◽  
Horizontal Magnetic Field ◽  
Variable Gravity ◽  
Ferromagnetic Fluid

https://jusst.org/thermal-instability-of-a-couple-stress-ferromagnetic-fluid-in-the-presence-of-variable-gravity-field-and-horizontal-magnetic-field-with-hall-currents-saturating-in-a-porous-medium/

scholarly journals Hall effect on thermal stability of ferromagnetic fluid in porous medium in the presence of horizontal magnetic field

2014 ◽  
Vol 18 (suppl.2) ◽  
pp. 503-514 ◽  
Author(s):  
Amrish Aggarwal ◽  
Suman Makhija
Keyword(s):  
Magnetic Field ◽  
Thermal Stability ◽  
Porous Medium ◽  
Thermal Instability ◽  
Mode Analysis ◽  
Horizontal Magnetic Field ◽  
Linearized Stability ◽  
Medium Permeability ◽  
Ferromagnetic Fluid ◽  
Thermal Stability Of

This paper deals with the theoretical investigation of the effect of Hall currents on the thermal stability of a ferromagnetic fluid heated from below in porous medium. 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 medium permeability, a uniform horizontal magnetic field, magnetization and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field and magnetization have a stabilizing effect on the system, as such their effect is to postpone the onset of thermal instability whereas Hall currents are found to hasten the onset of thermal instability. The medium permeability hastens the onset of convection under certain conditions. 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.

scholarly journals Hydromagnetic thermosolutal instability of Rivlin-Ericksen rotating fluid permeated with suspended particles and variable gravity field in porous medium

2014 ◽  
Vol 6 (1) ◽  
pp. 24-45
Author(s):  
G. C. Rana
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Gravity Field ◽  
Normal Mode Analysis ◽  
Suspended Particles ◽  
Mode Analysis ◽  
Rotating Fluid ◽  
Medium Permeability ◽  
Variable Gravity ◽  
Solute Gradient

AbstractThe thermosolutal instability of Rivlin-Ericksen elasticoviscous rotating fluid permeated with suspended particles (fine dust) and variable gravity field in porous medium in hydromagnetics is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, gravity field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation and stable solute gradient has stabilizing effects and suspended particles are found to have destabilizing effect on the system whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions. The effect of rotation, suspended particles, magnetic field, stable solute gradient and medium permeability has also been shown graphically.

scholarly journals Thermal convection of magneto compressible couple-stress fluid saturated in a porous medium with Hall current

2016 ◽  
Vol 21 (1) ◽  
pp. 83-93 ◽  
Author(s):  
C.B. Mehta ◽  
M. Singh ◽  
S. Kumar
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Couple Stress ◽  
Hall Current ◽  
Linear Stability Theory ◽  
Couple Stress Fluid ◽  
Horizontal Magnetic Field ◽  
Viscoelastic Parameter ◽  
Medium Permeability ◽  
Magnetic Filed

Abstract An investigation is made on the effect of Hall currents on thermal instability of a compressible couple-stress fluid in the presence of a horizontal magnetic field saturated in a porous medium. The analysis is carried out within the framework of the linear stability theory and normal mode technique. A dispersion relation governing the effects of viscoelasticity, Hall currents, compressibility, magnetic field and porous medium is derived. For the stationary convection a couple-stress fluid behaves like an ordinary Newtonian fluid due to the vanishing of the viscoelastic parameter. Compressibility, the magnetic filed and couple-stress parameter have stabilizing effects on the system whereas Hall currents and medium permeability have a destabilizing effect on the system, but in the absence of Hall current couple-stress has a destabilizing effect on the system. It has been observed that oscillatory modes are introduced due to the presence of viscoelasticity, magnetic field porous medium and Hall currents which were non-existent in their absence.

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