Thermal Instability in Rivlin-Ericksen Elastico-Viscous Fluids in Hydromagnetics

1997 ◽  
Vol 52 (4) ◽  
pp. 369-371 ◽  
Author(s):  
R. C. Sharma ◽  
P. Kumar
Keyword(s):  
Magnetic Field ◽  
Viscous Fluid ◽  
Newtonian Fluid ◽  
Thermal Instability ◽  
Viscous Fluids ◽  
Sufficient Condition ◽  
Vertical Magnetic Field ◽  
Stationary Convection ◽  
Stabilizing Effect ◽  
The Magnetic Field

Abstract The thermal instability of a layer of Rivlin-Ericksen elastico-viscous fluid acted on by a uniform vertical magnetic field is considered. For stationary convection, a Rivlin-Ericksen elastico-viscous fluid behaves like a Newtonian fluid. The magnetic field has a stabilizing effect. It is found that the presence of a magnetic field introduces oscillatory modes which were non-existent in its absence. The sufficient condition for the non-existence of overstability is also obtained.

scholarly journals Effect of magnetic field on thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid

2006 ◽  
Vol 2006 ◽  
pp. 1-10
Author(s):  
Pardeep Kumar ◽  
Hari Mohan ◽  
Roshan Lal
Keyword(s):  
Magnetic Field ◽  
Newtonian Fluid ◽  
Viscoelastic Fluid ◽  
Thermal Instability ◽  
Vertical Magnetic Field ◽  
Stationary Convection ◽  
Stabilizing Effect ◽  
The Stability ◽  
The Magnetic Field

The thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of uniform vertical magnetic field is considered. For the case of stationary convection, Rivlin-Ericksen viscoelastic fluid behaves like a Newtonian fluid. It is found that rotation has a stabilizing effect, whereas the magnetic field has both stabilizing and destabilizing effects. Graphs have been plotted by giving numerical values to the parameters, to depict the stability characteristics. The rotation and magnetic field are found to introduce oscillatory modes in the system which were nonexistent in their absence.

Thermal Instability of a Compressible and Partially Ionized Plasma

1986 ◽  
Vol 41 (5) ◽  
pp. 729-732 ◽  
Author(s):  
R. C. Sharma ◽  
J. N. Misra
Keyword(s):  
Magnetic Field ◽  
Temperature Gradient ◽  
Specific Heat ◽  
Thermal Instability ◽  
Constant Pressure ◽  
Composite Medium ◽  
Sufficient Condition ◽  
Stabilizing Effect ◽  
Partially Ionized ◽  
The Magnetic Field

The compressibility and collisional effects on thermal instability of a composite medium are considered. The effect of compressibility is found to be stabilizing. In contrast to the nonoscillatory modes for (Cp/g) ß > 1 in the absence of a magnetic field, Cp, ß and g being the specific heat at constant pressure, a uniform adverse temperature gradient and the acceleration due to gravity respectively, the presence of a magnetic field introduces oscillatory modes in the system. The sufficient condition for non-existence of overstability is found. The magnetic field is found to have a stabilizing effect on the system for (Cp/g) ß > 1.

scholarly journals Thermal instability of Walters B' viscoelastic fluid permeated with suspended particles in hydromagnetics in porous medium

2004 ◽  
Vol 8 (1) ◽  
pp. 51-61 ◽  
Author(s):  
Pardeep Kumar ◽  
Jit Singh ◽  
Roshan Lal
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Newtonian Fluid ◽  
Viscoelastic Fluid ◽  
Thermal Instability ◽  
Suspended Particles ◽  
Stationary Convection ◽  
Onset Of Convection ◽  
Medium Permeability ◽  
The Magnetic Field

The effect of suspended particles on the thermal instability of Walters B' viscoelastic fluid in hydromantic in porous medium is considered. For stationary convection, Walters B' viscoelastic fluid behaves like a Newtonian fluid. The medium permeability and suspended particles has ten the onset of convection whereas the magnetic field postpones the onset of convection, for the case of stationary convection. The magnetic field and viscoelasticity intro duce oscillatory modes in the system which was non-existent in their absence.

scholarly journals Thermal Instability of a Partially Ionized Plasma

1978 ◽  
Vol 31 (2) ◽  
pp. 181 ◽  
Author(s):  
RC Sharma ◽  
KC Sharma
Keyword(s):  
Magnetic Field ◽  
Thermal Instability ◽  
Composite Medium ◽  
Vertical Magnetic Field ◽  
Stationary Convection ◽  
Conducting Composite ◽  
Hydromagnetic Instability ◽  
Partially Ionized ◽  
The Magnetic Field ◽  
Frictional Effects

A study is made of the thermal hydromagnetic instability of a rotating and finitely conducting composite medium, including frictional effects with neutrals. The prevalent magnetic field is assumed to be uniform and vertical. The effects of the magnetic field and rotation are found to be stabilizing on the thermal instability of such a composite medium. The case of a partially ionized medium is also considered, including the effect of Hall currents in the presence of a uniform vertical magnetic field. For stationary convection, the collisions have no effect while the Hall currents are found to have a destabilizing effect on the thermal instability.

scholarly journals Effect of Rotation on Thermal Instability in Rivlin-Ericksen Elastico-Viscous Fluid

1996 ◽  
Vol 51 (7) ◽  
pp. 821-824 ◽  
Author(s):  
R. C. Sharma ◽  
P. Kumar
Keyword(s):  
Viscous Fluid ◽  
Newtonian Fluid ◽  
Thermal Instability ◽  
Stationary Convection ◽  
Uniform Rotation ◽  
Cient Condition ◽  
System A ◽  
Stabilizing Effect

Abstract The thermal instability of a layer of Rivlin-Ericksen elastico-viscous fluid acted on by a uniform rotation is considered. For stationary convection, a Rivlin-Ericksen elastico-viscous fluid behaves like a Newtonian fluid. It is found that rotation has a stabilizing effect and introduces oscillatory modes in the system. The visco-elasticity also introduces oscillatory modes in the system. A suffi-cient condition for the non-existence of overstability is also obtained.

scholarly journals Thermal Instability in Plasma with Finite Larmor Radius

1975 ◽  
Vol 30 (4) ◽  
pp. 461-465
Author(s):  
R. C. Sharma ◽  
Kirti Prakash
Keyword(s):  
Magnetic Field ◽  
Thermal Instability ◽  
Larmor Radius ◽  
Stationary Convection ◽  
Horizontal Magnetic Field ◽  
Finite Larmor Radius ◽  
Stabilizing Effect

Abstract The effects of the finite Larmor radius of the ions on the thermal instability of a plasma are investigated. When the instability sets in as stationary convection, the finite Larmor radius is found to have a stabilizing effect. The conditions for the nonexistence of overstability are investigated. The case with horizontal magnetic field is discussed.

scholarly journals Hall Effect on Thermal Instability of Viscoelastic Dusty Fluid in Porous Medium

2013 ◽  
Vol 18 (3) ◽  
pp. 871-886
Author(s):  
M. Singh ◽  
R.K. Gupta
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Thermal Instability ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Stationary Convection ◽  
Linearized Stability ◽  
Medium Permeability ◽  
Rayleigh Numbers ◽  
The Magnetic Field

Abstract 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

scholarly journals Hall Effect on Bénard Convection of Compressible Viscoelastic Fluid through Porous Medium

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Mahinder Singh ◽  
Chander Bhan Mehta
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Thermal Instability ◽  
Linear Stability Theory ◽  
Stationary Convection ◽  
Onset Of Convection ◽  
Medium Permeability ◽  
Rayleigh Numbers ◽  
The Magnetic Field ◽  
Mode Technique

An investigation made on the effect of Hall currents on thermal instability of a compressible Walter’s B′ elasticoviscous fluid through porous medium is considered. The analysis is carried out within the framework of linear stability theory and normal mode technique. For the case of stationary convection, Hall currents and compressibility have postponed the onset of convection through porous medium. Moreover, medium permeability hasten postpone the onset of convection, and magnetic field has duel character on the onset of convection. The critical Rayleigh numbers and the wave numbers of the associated disturbances for the onset of instability as stationary convection have been obtained and the behavior of various parameters on critical thermal Rayleigh numbers has been depicted graphically. The magnetic field, Hall currents found to introduce oscillatory modes, in the absence of these effects the principle of exchange of stabilities is valid.

Thermosolutal Convection in a Couple-Stress Fluid in Uniform Vertical Magnetic Field

2012 ◽  
Vol 67 (5) ◽  
pp. 275-281
Author(s):  
Mahinder Singh ◽  
Pardeep Kumar
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Thermosolutal Convection ◽  
Couple Stress Fluid ◽  
Vertical Magnetic Field ◽  
Stationary Convection ◽  
Gradient Magnetic Field ◽  
Electrically Conducting ◽  
Stabilizing Effect ◽  
Solute Gradient

The effect of a uniform vertical magnetic field on thermosolutal convection in a layer of an electrically conducting couple-stress fluid heated and soluted from below is considered. For the case of stationary convection, the stable solute gradient, magnetic field, and couple-stress parameter have stabilizing effect on the system. It is also observed that a stable solute gradient and a magnetic field introduce oscillatory modes in the system, but in the absence of a stable solute gradient and a magnetic field, oscillatory modes are not allowed and the principle of exchange of stabilities is valid.

scholarly journals Effect of hall currents on thermal instability of dusty couple stress fluid

2016 ◽  
Vol 37 (3) ◽  
pp. 3-18 ◽  
Author(s):  
Amrish Kumar Aggarwal ◽  
Anushri Verma
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Thermal Instability ◽  
Normal Mode Analysis ◽  
Mode Analysis ◽  
Dust Particles ◽  
Couple Stress Fluid ◽  
Stationary Convection ◽  
Linearized Stability ◽  
Stabilizing Effect

Abstract In this paper, effect of Hall currents on the thermal instability of couple-stress fluid permeated with dust particles has been considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, dust particles and Hall currents are found to have destabilizing effect while couple stresses have stabilizing effect on the system. Magnetic field induced by Hall currents has stabilizing/destabilizing effect under certain conditions. It is found that due to the presence of Hall currents (hence magnetic field), oscillatory modes are produced which were non-existent in their absence.

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