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1
Content available Effect of suspended particles on thermosolutal convection of Rivlin-Ericksen fluid in porous medium with variable gravity
Aggarwal A. K., Dixit D.
International Journal of Applied Mechanics and Engineering
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2018
|
Vol. 23, no. 3
813--820
EN
The thermosolutal stability of a layer of the Rivlin-Ericksen fluid in a porous medium is considered under varying gravity conditions. It is found that for stationary convection, medium permeability and suspended particles have a destabilizing/stabilizing effect when gravity increases/decreases. The stable solute gradient has a stabilizing effect on the system.
2
Content available Hydromagnetic thermal instability of compressible Walters' (Model B') rotating fluid permeated with suspended particles in porous medium
Rana G. C., Jamwal H. S.
Studia Geotechnica et Mechanica
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2013
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Vol. 35, nr 4
75--88
EN
In this paper, the thermal instability of compressible Walters’ (Model B′) rotating fluid permeated with suspended particles (fine dust) 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, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, Walters’ (Model B′) elastico-viscous fluid behaves like an ordinary Newtonian fluid and it is observed that rotation has stabilizing effect, 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.
3
Content available Thermosolutal instability in compressible viscoelastic dusty fluid through porous medium
Kumar P., Mohan H.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 1
99--112
EN
Thermosolutal instability in a compressible Walters B’ viscoelastic fluid with suspended particles through a porous medium is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, the Walters B’ viscoelastic fluid behaves like a Newtonian fluid and it is found that suspended particles and medium permeability have a destabilizing effect whereas the stable solute gradient and compressibility have a stabilizing effect on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient and viscoelasticity are found to introduce oscillatory modes in the system which are non-existent in their absence.
4
Content available remote Effect of suspensed particles, magnetic field and rotation on thermal stability of ferromagnetic fluids
Aggarwal A. K., Verma A.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 4
1109-1122
EN
The effect of suspended particles, magnetic field, magnetization and rotation on the thermal stability of a ferromagnetic fluid heated from below is considered. Using a linearized stability theory and normal mode analysis for a fluid layer between two free boundaries, an exact solution is obtained. A dispersion relation governing the effects of suspended particles, magnetic field, magnetization and rotation is derived. For the case of stationary convection, it is found that a suspended particle has a destabilizing effect whereas rotation and magnetization have a stabilizing effect on the system. The magnetic field has a stabilizing effect on the system under certain conditions. The effects of various parameters on the thermal stability are depicted graphically also and the results are in agreement with analytical solutions. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in the absence of rotation and the magnetic field. The oscillatory modes are introduced due to the presence of rotation and the magnetic field which were non-existent in their absence.
5
Content available remote Effect of rotation and suspended particles on the stability of an incompressible Walters�f (model B�Ś) fluid hated from below under a variable gravity field in a porous medium
Rana G. C., Kumar S.
Engineering Transactions
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2012
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Vol. 60, iss. 1
55-68
EN
The effect of rotation and suspended particles on the stability of an incompressible Walters�f (model B�Ś) fluid heated from below under a variable gravity field in a porous medium is considered. By applying a normal mode analysis method, the dispersion relation has been derived and solved numerically. It is observed that the rotation, gravity field, suspended par- ticles, and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation has a stabilizing effect and suspended particles are found to have a destabilizing effect on the system, whereas the medium permeability has a stabilizing or destabilizing effect on the system under certain conditions. The effect of rotation, suspended particles, and medium permeability has also been shown graphically.
6
Content available remote Thermal instability of Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in hydrodynamics in a porous medium
Singh M., Gupta R. K.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 4
1169-1179
EN
The thermal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in a porous medium acted on by a uniform magnetic field is considered. For stationary convection, the Rivlin-Ericksen elastico-viscous field behaves like a Newtonian fluid. The magnetic field is found to have a stabilizing effect, whereas suspended particles and medium permeability have a destabilizing effect for the case of stationary convection. The magnetic field introduces oscillatory modes in the systems, which were non-existent in its absence.
7
Content available remote Combined effect of magnetic field and rotation on thermal stability of a couple-stress fluid heated from below in the presence of suspended particles
Aggarwal A. K., Makhija S.
International Journal of Applied Mechanics and Engineering
|
2011
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Vol. 16, no 4
931-942
EN
Thermal stability of a couple-stress fluid in the presence of suspended particles, magnetic field and rotation is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, it is found that suspended particles have a destabilizing effect whereas rotation has a stabilizing effect. The magnetic field and couple-stresses have a stabilizing effect under certain conditions. In the absence of rotation, couple-stresses and magnetic field have a stabilizing effect on the system. It is found that the principle of exchange of stabilities is satisfied in the absence of the magnetic field.
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