Hydromagnetic thermosolutal instability of Rivlin-Ericksen rotating fluid permeated with suspended particles and variable gravity field in porous medium

Abstract

Abstract. The thermosolutal instability of Rivlin-Ericksen elasticoviscous rotating fluid permeated with suspended particles (fine dust) and variable gravity field in porous medium in hydromagnetics is considered. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, magnetic field, gravity field, suspended particles and viscoelasticity introduce oscillatory modes. For stationary convection, the rotation and stable solute gradient has stabilizing effects and suspended particles are found to have destabilizing effect on the system whereas the medium permeability has stabilizing or destabilizing effect on the system under certain conditions. The magnetic field has destabilizing effect in the absence of rotation whereas in the presence of rotation, magnetic field has stabilizing or destabilizing effect under certain conditions. The effect of rotation, suspended particles, magnetic field, stable solute gradient and medium permeability has also been shown graphically.

Effect of Magnetic Field on Thermal Instability of Oldroydian Viscoelastic Rotating Fluid in Porous Medium

“…This result is an agreement with the earlier results of , Rana and Kumar (2010), Rana and Kango (2011).…”

On the onset of thermal convection in rotating nanofluid layer saturating a Darcy–Brinkman porous medium

“…A good account of convection problems in a porous medium is given by Vafai and Hadim [25], Ingham and Pop [5] and Nield and Bejan [11]. Rana and Kumar [18] studied thermal instability of incompressible Rivlin-Ericksen elastico-viscous rotating fluid permitted with suspended particles and variable gravity field in porous medium and found that rotation has stabilizing effect and suspended particles has destabilizing effect on the thermal instability in porous medium.…”

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

“…where μ and A good account of Rivlin-Ericksen fluid problems in a porous medium has been studied by Gupta and Sharma [12], Rana and Kumar [19], Sharma and Rana [23,24] and El-Sayed et al [10]. Sheu [25] used the Oldroyd-B fluid model to describe the rheological behavior of the nanofluid in his investigation about thermal instability in a porous medium layer saturated with a viscoelastic fluid whereas Chand and Rana [6] studied the thermal convection of Rivlin-Ericksen elastic-viscous nanofluid saturated in porous medium.…”