TY - JOUR
TI - Thermal convection of dusty compressible Rivlin-Ericksen viscoelastic fluid with hall currents
AU - Gupta Urvashi
AU - Aggarwal Parul
AU - Wanchoo Ravinder Kumar
JN - Thermal Science
PY - 2012
VL - 16
IS - 1
SP - 177
EP - 191
PT - Article
AB - An investigation is made on the effect of Hall currents and suspended  particles on the hydromagnetic stability of a compressible, electrically  conducting Rivlin-Ericksen elastico-viscous fluid. The perturbation equations  are analyzed in terms of normal modes after linearizing the relevant set of  hydromagnetic equations. A dispersion relation governing the effects of  viscoelasticity, magnetic field, Hall currents, compressibility and suspended  particles is derived. For the stationary convection Rivlin-Ericksen fluid  behaves like an ordinary Newtonian fluid due to the vanishing of the  viscoelastic parameter. Compressibility and magnetic field are found to have  a stabilizing effect on the system whereas Hall currents and suspended  particles hasten the onset of thermal instability. These analytic results are  confirmed numerically and the effects of various parameters on the stability  parameter are depicted graphically. The critical Rayleigh numbers and the  wavenumbers of the associated disturbances for the onset of instability as  stationary convection are obtained and the behavior of various parameters on  critical thermal Rayleigh numbers has been depicted graphically. It has been  observed that oscillatory modes are introduced due to the presence of  viscoelasticity, suspended particles and Hall currents which were not  existing in the absence of these parameters.