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Effect of Hall Currents on Thermosolutal Instability in Non-Newtonian Fluid in Non-Porous Medium


Affiliations
1 Jawaharlal Nehru Government College, Haripur (Manali), HP – 175136, India
2 Vallabh Government PG College, Mandi, Himachal Pradesh, India
     

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The thermosolutal instability of a layer of Rivlin-Ericksen elastico-viscous fluid (a Non-Newtonian fluid) is considered in the presence of uniform horizontal magnetic field to include the Hall currents in non-porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The results are also shown graphically.


Keywords

Thermosolutal Instability, Hall Currents, Rivlin-Ericksen Fluid, Viscoelasticity, Overstability.
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  • Effect of Hall Currents on Thermosolutal Instability in Non-Newtonian Fluid in Non-Porous Medium

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Authors

S. K. Kango
Jawaharlal Nehru Government College, Haripur (Manali), HP – 175136, India
Sanjay Sharma
Vallabh Government PG College, Mandi, Himachal Pradesh, India

Abstract


The thermosolutal instability of a layer of Rivlin-Ericksen elastico-viscous fluid (a Non-Newtonian fluid) is considered in the presence of uniform horizontal magnetic field to include the Hall currents in non-porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The results are also shown graphically.


Keywords


Thermosolutal Instability, Hall Currents, Rivlin-Ericksen Fluid, Viscoelasticity, Overstability.