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1
Content available Effect of magnetic field on thermosolutal instability of rotating ferromagnetic fluid under varying gravity field
Pundir S. K., Nadian P. K., Pundir R.
International Journal of Applied Mechanics and Engineering
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2021
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Vol. 26, no. 1
201--214
EN
This paper deals with the theoretical investigation of the effect of a magnetic field, rotation and magnetization on a ferromagnetic fluid under varying gravity field. To find the exact solution for a ferromagnetic fluid layer contained between two free boundaries, we have used a linear stability analysis and normal mode analysis method. For the case of stationary convection, a stable solute gradient has a stabilizing effect, while rotation has a stabilizing effect if 0λ > and destabilizing effect if 0λ < . Further, the magnetic field is discovered to have both a stabilizing and destabilizing effect for both 0λ > and 0λ < . It is likewise discovered that magnetization has a stabilizing effect for both 0λ > and 0λ < in the absence of the stable solute gradient. Graphs have been plotted by giving numerical values of various parameters. In the absence of rotation, magnetic field and stable solute gradient, the principle of exchange of stabilities is found to hold true for certain conditions.
2
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.
3
Content available remote Thermosolutal convection in Rivlin-Ericksen fluid in the presence of Hall currents in a porous medium in hydromagnetics
Kango S. K., Singh V.
International Journal of Applied Mechanics and Engineering
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2012
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Vol. 17, no. 1
71-82
EN
The thermosolutal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid is considered in the presence of a uniform horizontal magnetic field to include the Hall currents in a porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, medium permeability also postpones the onset of convection in the presence of the Hall currents, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field, medium permeability and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained.
4
Content available remote Effect of the magnetic field and suspended particles on thermosolutal instability of a rotating Rivlin-Ericksen fluid with varying gravity field in a porous medium
Singh V., Dixit S.
International Journal of Applied Mechanics and Engineering
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2012
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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.
5
Content available remote Hall current effect on thermosolutal instability in a viscoelastic fluid flowing in a porous medium
Singh M.
International Journal of Applied Mechanics and Engineering
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2011
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Vol. 16, no 1
69-82
EN
The thermosolutal instability in a layer of an electrically conducting Oldroydian viscoelastic fluid in a porous medium is studied to include the effect of Hall current. For the case of stationary convection, the Oldroydian fluid behaves like an ordinary Newtonian fluid. The magnetic field and the stable solute gradient are found to have stabilizing effects whereas Hall currents and medium permeability are found to have destabilizing effects on the system. Graphs are plotted by giving numerical values to the parameters to depict the stability characteristics. The sufficient conditions for the non-existence of overstability are also obtained.
6
Content available remote Thermosolutal instability of compressible Rivlin-Ericksen fluid with Hall currents
Sunil, Sharma Y. D., Bharti P. K., Sharma R. C.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 2
329-343
EN
The thermosolutal instability of a compressible Rivlin-Ericksen viscoelastic fluid is predicted for a layer heated and soluted from below in the presence of the vertical magnetic field to include the effect of Hall currents. For the case of stationary convection, the Rivlin-Ericksen elastico-viscous fluid behaves like a Newtonian viscous fluid. The Hall currents found to hasten the onset of thermosolutal instability whereas the compressibility, stable solute gradient and magnetic field postpone the onset of thermosolutal instability. Also, the dispersion relation is analyzed numerically and results are depicted graphically. The stable solute gradient 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.
7
Content available remote The effect of rotation on thermosolutal convection in a ferromagnetic fluid
Sunil, Bharti P. K., Sharma D., Sharma R. C.
International Journal of Applied Mechanics and Engineering
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2005
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Vol. 10, no 4
713-730
EN
The effcct of rotation on the thermosolutal convection in a ferromagnetic fluid is analyzed for a fluid layer heated and soluted from below in the presence of a uniform magnetic field. Using the linearized stability theory and the normal mode analysis, an exact solution is obtained for the case of two free boundaries. For the case of stationary convection, non-buoyancy magnetization has a destabilizing effect on the system, whereas the stable solute gradient and rotation have a stabilizing effect on the system for lower vaIues of buoyancy magnetization M 1 . The critical magnetic thermal Rayleigh number for the onset of instabiIity is also determined numerically for large vaIues of buoyancy magnetization M 1 and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in the absence of a stabIe solute gradient and rotation. The oscillatory modes are introduced due to the presence of the stabIe solute gradient and rotation, which were non-existent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.
8
Content available remote Thermosolutal convection in ferromagnetic fluid
Sunil, Bharti P. K., Sharma R. C.
Archives of Mechanics
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2004
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Vol. 56, nr 2
117-135
EN
The thermosolutal convection in ferromagnetic fluid is considered for a fluid layer heated and soluted from below in the presence of uniform vertical magnetic field. For the case of two free boundaries, an exact solution is obtained using a linear stability analysis. For the case of stationary convection, magnetization has a destabilizing effect, whereas stable solute gradient has a stabilizing effect on the onset of instability. Graphs have been plotted by giving numerical values to various parameters, to depict the stability characteristics. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in porous medium in the absence of stable solute gradient. The oscillatory modes are introduced due to the presence of the stable solute gradient, which were non-existent in its absence. A sufficient condition for non-existence of the overstability is also obtained.
9
Content available remote Thermosolutal instability of Walters' (model b') rotating fluid with vertical magnetic and varying gravity field in a porous medium
Sharma V., Sharma S.
International Journal of Applied Mechanics and Engineering
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2001
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Vol. 6, no 3
591-611
EN
The thermosolutal instability of Walters' (model B') elastico-viscous rotating fluid in a porous medium is considered in the presence of a uniform magnetic field and varying gravity field. For the case of stationary convection, the solute parameter delays the onset of convection. The system is stable or unstable as gravity increases or decreases in the presence of rotation and magnetic field stabilizes the system for TA1 < [(1+x0)+PQ1]2 [(1+x0)P2] as gravity increases or decreases. The porous medium permeability is also found to stabilize the system under certain conditions in the presence of rotation and magnetic field; whereas the kinematic viscoelasticity has no effect on the onset of convection. The magnetic field, rotation, porous medium permeability, kinematic viscoelasticity, the solute parameter and varying gravity field introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained. The variation of the Rayleigh number with respect to the solute parameter, rotation, magnetic field and porous medium permeability for the stationary convection is also shown graphically.
10
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
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2001
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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.
11
Content available remote Thermosolutal instability of Walters' rotating fluid (Model B') in porous medium
Sharma R., Sunil, Chand S.
Archives of Mechanics
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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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