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Thermosolutal Convection in Compressible Walters’ B Elastico-Viscous Fluid in the Presence of Magnetic Field and Rotation in Porous Medium


Affiliations
1 Department of Mathematics, Govt. College, Sanjauli, Distt. Shimla, India
2 Department of Mathematics, St. Bedes College Shimla, Distt. Shimla, India
3 Department of Mathematics, GSSS Portmore Shimla, Distt. Shimla, India
     

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A layer of compressible, elastic-viscous fluid heated and soluted from below in the presence of porous is considered. For the case of stationary convection, the Walters, elastico viscous fluid behaves like an ordinary Newtonion fluid. The presence of solute gradient and magnetic field has a stabilising effect in the presence of compressibility and rotation postpone the onset of convection. The oscillatory modes are not allowed and the principle of exchange of stabilities is satisfied if kinematic viscoelasticity is less than the medium permeability divided by medium porosity. The presence of solute gradient and viscoelasticity introduces oscillatory modes in the presence of rotation. The case of overstability is also studied wherein a sufficient condition for the non-existence of overstability is found.

Keywords

Elastico-Viscous, Magnetic, Overstability, Porous, Compressibility, Rotation, Thermosolutal Convection.
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  • Thermosolutal Convection in Compressible Walters’ B Elastico-Viscous Fluid in the Presence of Magnetic Field and Rotation in Porous Medium

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Authors

C. B. Mehta
Department of Mathematics, Govt. College, Sanjauli, Distt. Shimla, India
Susheel Kumar
Department of Mathematics, St. Bedes College Shimla, Distt. Shimla, India
Sanjeev Gangta
Department of Mathematics, GSSS Portmore Shimla, Distt. Shimla, India

Abstract


A layer of compressible, elastic-viscous fluid heated and soluted from below in the presence of porous is considered. For the case of stationary convection, the Walters, elastico viscous fluid behaves like an ordinary Newtonion fluid. The presence of solute gradient and magnetic field has a stabilising effect in the presence of compressibility and rotation postpone the onset of convection. The oscillatory modes are not allowed and the principle of exchange of stabilities is satisfied if kinematic viscoelasticity is less than the medium permeability divided by medium porosity. The presence of solute gradient and viscoelasticity introduces oscillatory modes in the presence of rotation. The case of overstability is also studied wherein a sufficient condition for the non-existence of overstability is found.

Keywords


Elastico-Viscous, Magnetic, Overstability, Porous, Compressibility, Rotation, Thermosolutal Convection.