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EN
The thermosolutal instability of Walters' (model B') elastico-viscous rotating fluid in a porous medium is considered in the presence of a uniform rotation, suspended particles and variable gravity field. the stable solute gradient, rotation, gravity field, suspended particles and viscoelasticity introduce oscillatory modes. For the stationary convection, the stable gradient and rotation have stabilizing effects and suspended particles are found to have destabilizing effect on the system, whereas the medium permeability has destabilizing or stabilizing efect on the system under certain conditions. The effects of stable solute gradient, rotation, suspended particles, medium permeability have also been shown graphically.
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Content available remote Effect of suspended particles and rotation on thermal instability of ferrofluids
86%
EN
This paper deals with the theoretical investigation of the effect of suspended particles on a rotating layer of a ferromagnetic fluid heated from below. For a fluid layer between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis. For the case of stationary convection, it is found that suspended particles have a destabilizing effect, whereas rotation has a stabilizing effect on the onset of instability. The principle of exchange of stabilities is not valid for the problem under consideration, whereas in the absence of rotation it is valid under certain condition.
EN
This paper deals with the theoretical investigation of the effect of Hall currents and suspended particles on the thermal stability of a ferromagnetic fluid heated from below. 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 suspended particles and Hall currents is derived. For the case of stationary convection, it is found that the magnetic field has a stabilizing effect, whereas the suspended particles and Hall currents are found to have a destabilizing effect on the system. The critical Rayleigh numbers and wave numbers of the associated disturbances for the onset of stability as stationary convection are obtained. 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.
4
86%
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2008
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tom Vol. 13, no 1
193-201
EN
The problem of thermal convection in a Kuvshiniski viscoelastic fluid in a porous medium in the presence of suspended particles is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, a Kuvshiniski fluid behaves like a Newtonian fluid and the medium permeability and the suspended partic1es have destabilizing effects on the system. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The principle of exchange of stabilities is found to be satisfied.
EN
A compressible, electrically conducting Walters'B' elastico-viscous fluid heated from below in the presence of a magnetic field and rotation is considered. At stationary convection, Walters' (Model B') elastico-viscous fluid behaves like a Newtonian fluid and compressibility, rotation are found to have a stabilizing effect whereas the suspended particles have a destabilizing effect on the thermal convection and magnetic field has a stabilizing effect under certain conditions. The presence of magnetic field and rotation introduces oscillatory modes in the system which were non-existent in their absence. Graphs have also been plotted by giving some numerical values to the parameters.
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tom Vol. 17, no. 2
559-570
EN
In the paper we consider thermal instability of a rotating Rivlin-Ericksen viscoelastic fluid in the presence of suspended particles in a porous medium, the effect of magnetic field with varying gravity field are also studied. It is found that for stationary convection, a Rivlin-Ericksen fluid behaves like an ordinary Newtonian fluid while the magnetic field has both stabilizing and destabilizing effect on the system. Other different aspects affecting stability are also considered.
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2011
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tom 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.
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tom 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.
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