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2 International Journal of Applied Mechanics and Engineering

2 2012

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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.

Global stability for thermal convection in a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity

Sunil, Chodhary S., Bharti P. K.

International Journal of Applied Mechanics and Engineering

2012

Vol. 17, no. 2

583-602

We show that the global nonlinear stability threshold for convection in a couple-stress fluid saturating a porous medium with temperature and pressure dependent viscosity is exactly the same as the linear instability boundary. This optimal result is important because it shows that the linearized instability theory has captured completely the physics of the onset of convection. Then the effect of couple stress parameter, variable dependent viscosity and Darcy-Brinkman number on the onset of convection are also analyzed.