TY - JOUR
TI - Hall effect on thermal stability of ferromagnetic fluid in porous medium in the presence of horizontal magnetic field
AU - Aggarwal Amrish Kumar
AU - Makhija Suman
JN - Thermal Science
PY - 2014
VL - 18
IS - 12
SP - 503
EP - 514
PT - Article
AB - This paper deals with the theoretical investigation of the effect of Hall  currents on the thermal stability of a ferromagnetic fluid heated from below  in porous medium. For a fluid layer between two free boundaries, an exact  solution is obtained using a linearized stability theory and normal mode  analysis. A dispersion relation governing the effects of medium permeability,  a uniform horizontal magnetic field, magnetization and Hall currents is  derived. For the case of stationary convection, it is found that the magnetic  field and magnetization have a stabilizing effect on the system, as such  their effect is to postpone the onset of thermal instability whereas Hall  currents are found to hasten the onset of thermal instability. The medium  permeability hastens the onset of convection under certain conditions. The  principle of exchange of stabilities is not valid for the problem under  consideration whereas in the absence of Hall currents (hence magnetic field),  it is valid under certain conditions.