Affiliation:
1. Department of Mathematics Jaypee Institute of Information Technology, Noida (UP), INDIA
Abstract
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.
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
Cited by
7 articles.
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