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1 International Journal of Applied Mechanics and Engineering

1 2011

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Thermal convection in a compressible Walters' (model b') elastico-viscous dusty fluid with hall currents

Vikrant, Kumar V., Jaimala

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1189-1203

A compressible Walters' (Model B') elastico-viscous dusty fluid layer heated from below in the presence of a vertical magnetic field to include the effect of Hall currents is considered. For the case of stationary convection, Walters' (Model B') elastico-viscous fluid behaves like an ordinary Newtonian fluid. The Hall currents and dust particles are found to have a destabilizing effect on the thermal convection, whereas compressibility and the magnetic field are found to have a stabilizing effect on the thermal convection. The viscoelasticity and magnetic field (and hence the Hall currents) introduce oscillatory modes in the system, which were non-existent in their absence. Graphs are also plotted for the critical Rayleigh number and various parameters by giving some numerical values to the parameters