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1
Content available remote Electrohydrodynamic instability of a rotating Walters’ (model B’) fluid in a porous medium: Brinkman model
Rana G. C., Chand R., Sharma Veena
Mechanics and Mechanical Engineering
|
2019
|
Vol. 23, nr 1
138--143
EN
In this study, the instability of Walters’ (model B’) viscoelastic fluid in a Darcy-Brinkman-Boussinesq system heated from below saturating a porous medium in electrohydrodynamics is considered. By applying the linear stability analysis and normal modes, the dispersion relations accounting for the effect of Prandtl number, electric Rayleigh number, Darcy number, Brinkman-Darcy number, Taylor number and kinematic viscoelasticity parameter is derived. The effects of electric Rayleigh number, Darcy number, Brinkman-Darcy number and Taylor number on the onset of stationary convection have been investigated both analytically and graphically.
2
Content available Rayleigh-Bénard convection in an elastico-viscous Walters’ (model B’) nanofluid layer
Rana G. C., Chand R.
Bulletin of the Polish Academy of Sciences. Technical Sciences
|
2015
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Vol. 63, nr 1
235--244
EN
In this study, the onset of convection in an elastico-viscous Walters’ (model B’) nanofluid horizontal layer heated from below is considered. The Walters’ (model B’) fluid model is employed to describe the rheological behavior of the nanofluid. By applying the linear stability theory and a normal mode analysis method, the dispersion relation has been derived. For the case of stationary convection, it is observed that the Walters’ (model B’) elastico-viscous nanofluid behaves like an ordinary Newtonian nanofluid. The effects of the various physical parameters of the system, namely, the concentration Rayleigh number, Prandtl number, capacity ratio, Lewis number and kinematics visco-elasticity coefficient on the stability of the system has been numerically investigated. In addition, sufficient conditions for the non-existence of oscillatory convection are also derived.
3
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.
4
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.
5
Content available remote Thermal convection in a compressible Walters' (model b') elastico-viscous dusty fluid with hall currents
Vikrant, Kumar V., Jaimala
International Journal of Applied Mechanics and Engineering
|
2011
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Vol. 16, no 4
1189-1203
EN
A compressible Walters' (Model B') elastico-viscous dusty fluid layer heated from below in the presence of a vertical magnetic field to include the effect of Hall currents is considered. For the case of stationary convection, Walters' (Model B') elastico-viscous fluid behaves like an ordinary Newtonian fluid. The Hall currents and dust particles are found to have a destabilizing effect on the thermal convection, whereas compressibility and the magnetic field are found to have a stabilizing effect on the thermal convection. The viscoelasticity and magnetic field (and hence the Hall currents) introduce oscillatory modes in the system, which were non-existent in their absence. Graphs are also plotted for the critical Rayleigh number and various parameters by giving some numerical values to the parameters
6
Content available remote Hall effect on thermosolutal instability of Walters' (model B') fluid in porous medium
Sunil, Sharma R. C., Pal M.
Archives of Mechanics
|
2001
|
Vol. 53, nr 6
677-690
EN
The thermosolutal instability of Walters' (model B') fluid in porous medium is considered in the presence of uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the stable solute gradient and magnetic field have stabilizing effects on the system, whereas the Hall currents have destabilizing effect on the system. The medium permeability has both stabilizing and destabilizing effects on the system depending on the Hall parameter M. The kinematic viscoelasticity has no effect for stationary convection. The kinematic viscoelasticity, stable solute gradient and magnetic field (and the corresponding Hall currents) 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.
7
Hall effect on thermal instability of Walters' (model B?) fluid in a porous medium
Sunil, Kumar P.
Applied Mechanics and Engineering
|
2000
|
Vol. 5, no 3
655-671
EN
The thermal instability of Walters' (model B') fluid in a porous medium is considered in the presence of a uniform vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the magnetic field has the stabilizing effect on the system, whereas the Hall currents have destabilizing effect on the system. The porous medium permeability has both stabilizing and destabilizing effects on the system depending on the Hall parameter M. The kinematic viscoelasticity has no effect on stationary convection. The kinematic viscoelasticity and magnetic field (and corresponding Hall currents) introduce oscillatory modes in the system, which were nonexistent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
8
Content available remote Thermosolutal instability of Walters' rotating fluid (Model B') in porous medium
Sharma R., Sunil, Chand S.
Archives of Mechanics
|
1999
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Vol. 51, nr 2
181-191
EN
The thermosolutal instability of Walters' (Model B') fluid in porous medium is considered in the presence of uniform vertical rotation. For the case of stationary convection, the stable solute gradient and rotation have stabilizing effects on the system, whereas the medium permeability has a destabilizing (or stabilizing) effect on the system under certain conditions. The dispersion relation is also analysed numerically. It has also been shown that as rotation parameter increases, the stabilizing range of medium also increases. The kinematic viscoelasticity has no effect on the stationary convection. The stable solute gradient, rotation, porosity and kinematic viscoelasticity introduce oscillatory modes in the system, which did not occur in their absence. The sufficient conditions for the non-existance of overstability are also obtained.
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