Thermosolutal convection in a viscoelastic dusty fluid with hall currents in porous medium

Abstract

An incompressible Oldroydian viscoelastic fluid layer heated and soluted from below in the presence of suspended (dust) particles and uniform vertical magnetic field to include the effect of Hall currents in porous medium is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, Oldroydian viscoelastic fluid behaves like an ordinary Newtonian fluid. Dust particles and Hall currents are found to have a destabilizing effect on the thermosolutal convection, whereas magnetic field is found to have a stabilizing effect on the thermosolutal convection. Medium permeability has both stabilizing and destabilizing effect on the thermosolutal convection under certain conditions. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The case of overstability is also considered.

Instability of Suspended Particles on Viscoelastic Rotating Fluid Flow With Thermal Convection

“…Sharma [11] discussed the thermal convection on viscoelastic fluid. Kumar and Kumar [7] analyzed the dust particles on viscoelastic fluid with thermal convection. Singh and Gupta [13] investigated the thermal instability of dust particles on viscoelastic fluid flow.…”

Magnetic Oldroydian Viscoelastic Fluid - Analysis of Vorticity Transport

“…El-Sayed et al [16] have considered the effects of a vertical a.c. electric field and heat transfer on a peristaltic flow of an incompressible dielectric viscoelastic fluid in asymmetric flexible channel. An incompressible Oldroydian viscoelastic fluid layer heated and soluted from below in the presence of suspended (dust) particles and uniform vertical magnetic field to include the effect of Hall currents in porous medium has been considered by Kumar and Kumar [17]. The triply diffusive convection in an Oldroydian viscoelastic fluid is mathematically investigated in the absence and presence of magnetic field through porous medium by Kumar et al [18].…”