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1
Content available Triple-diffusive convection in Walters' (Model B') fluid with varying gravity field saturating a porous medium
Kango S. K., Rana G. C., Chand R.
Studia Geotechnica et Mechanica
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2013
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Vol. 35, nr 3
45--56
EN
The Triple-Diffusive convection in Walters’ (Model B') fluid with varying gravity field is considered in the presence of uniform vertical magnetic field in porous medium. For the case of stationary convection, the magnetic field, varying gravity field and the stable solute gradients have stabilizing effects whereas the medium permeability has destabilizing (or stabilizing) effect on the system under certain conditions. A linear stability analysis theory and normal mode analysis method have been carried out to study the onset convection. The kinematic viscoelasticity has no effect on the stationary convection. The solute gradients, magnetic field, varying gravity field, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained. The results are also shown graphically.
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 remote Thermal instability of Walters' (model B') elastico-viscous compressible fluid in the presence of Hall current
Kumar S., Gupta D., Jaswal R., Rana G. C.
Studia Geotechnica et Mechanica
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2011
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Vol. 33, nr 3
61-72
EN
The thermal instability of a compressible elastico-viscous fluid is examined for viscoelastic polymeric solutions in the presence of uniform vertical magnetic field to include the Hall-current. These solutions are known as Walters' (model B') fluids and their rheology is approximated by the Walters' (model B') constitutive relations, proposed by WALTERS [12]. It is found that the stability criterion is independent of the effects of viscosity and viscoelasticity and is dependent on the magnitude of the magnetic field and Hall current. The magnetic field is found to stabilize a certain wave number range of the unstable configuration. The Hall current has destabilizing and stabilizing effects on the system.
4
Content available remote Effect of Hall currents on thermal instability of compressible dusty viscoelastic fluid in porous medium
Kumar P.
Studia Geotechnica et Mechanica
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2011
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Vol. 33, nr 4
25-38
EN
The thermal instability of compressible Walters B' viscoelastic fluid in porous medium is considered to include the effects of Hall currents and suspended particles. 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 magnetic field. The magnetic field, Hall currents and viscoelasticity parameter are found to introduce oscillatory modes in the system.
5
Content available remote On the stability of two stratified Walters B' viscoelastic superposed fluids
Kumar P., Singh G. J.
Studia Geotechnica et Mechanica
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2010
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Vol. 32, nr 4
29-37
EN
The stability of the plane interface separating two Walters B' viscoelastic fluids has been studied. The density, viscosity and viscoelasticity are assumed to be exponentially varying. For stable stratifications, the system is found to be stable or unstable under certain conditions. The system is found to be unstable for unstable stratifications. Also the growth rates are found to decrease as well as increase with the increase in kinematic viscosity and kinematic viscoelasticity. The effect of a variable horizontal magnetic field is also considered. For the stable stratifications, in the hydromagnetic case also, the system is found to be stable or unstable under certain conditions. However, for the unstable stratifications, the magnetic field has got stabilizing effects.
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