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On thermosolutal convection in presence of compressible fluid with fine dust

Singh M., Gupta R. K.

International Journal of Applied Mechanics and Engineering

2014

Vol. 19, no. 1

133--143

A layer of a Rivlin-Ericksen elastico-viscous fluid heated and soluted from below in the presence of compressibility and suspended particles (fine dust) effect is considered. For stationary convection, the Rivlin- Ericksen, elastico-viscous fluid behaves like a Newtonian fluid. The oscillatory modes are introduced due to the presence of a stable solute gradient, suspended particles destabilize the system whereas the stable solute gradient has a stabilizing effect on the system and the effect of compressibility is to postpone the onset of thermosolutal convection. The stable solute gradient and compressibility postpone the onset of convection, whereas the suspended particles hasten the onset of convection. The stable solute gradient introduces oscillatory modes in the systems which were non-existent in its absence.

Stability of incompressible Rivlin-Ericksen elastico-viscous superposed fluid in porous medium

Rana G. C., Sharma V., Kango S. K.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 2

471-480

The stability of a Rivlin-Ericksen elastico-viscous superposed fluid in a porous medium is considered. The system is found to be stable/unstable for bottom heavy / top heavy configurations density wise as in a Newtonian viscous fluid. For an exponential varying density, viscosity, viscoelasticity, medium porosity and medium permeability, the system is found to be stable for all wave numbers for becomes stable stratifications and unstable for the unstable stratifications. The behavior of growth with respect to fluid kinematic viscosity, viscoelasticity, medium porosity and medium permeability is examined analytically and graphically.

Thermal instability of Rivlin-Ericksen elastico-viscous fluid permeated with suspended particles in hydrodynamics in a porous medium

Singh M., Gupta R. K.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1169-1179

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.