Stability analysis of double-diffusive convection of Rivlin-Ericksen elastico-viscous nanofluid saturating a porous medium: a revised model

In the present paper we study the stability analysis of double-diffusive convection in a horizontal layer of an elastico-viscous nanofluid in a porous medium. The Rivlin-Ericksen fluid model is employed to describe the rheological behavior of the nanofluid. The dispersion relation describing the effect of various parameters is obtained by applying normal modes method and by using linear stability analysis. In this model we assume that the nanoparticle concentration flux is zero on the boundaries and we can give the values of temperature and concentration at the boundaries. The assumed boundary conditions neutralize the possibility of oscillatory convection and only stationary convection occurs. For stationary convection; it is observed that the Rivlin-Ericksen elastico-viscous nanofluid fluid behaves like an ordinary Newtonian nanofluid. The solutal-Rayleigh Number, thermo-nanofluid Lewis number, thermo-solutal Lewis number, Soret parameter and Dufour parameter have stabilizing effect on the stationary convection. A very good agreement is found between the present paper and earlier published results.