TITLE:
The Onset of Ferromagnetic Convection in a Micropolar Ferromagnetic Fluid Layer Heated from Below
AUTHORS:
C. E. Nanjundappa, I. S. Shivakumara, K. Srikumar
KEYWORDS:
Micropolar Ferrofluid; Ferromagnetic Convection; Paramagnetic Boundaries; Rigid Boundaries; Magnetic Susceptibility
JOURNAL NAME:
Journal of Electromagnetic Analysis and Applications,
Vol.5 No.3,
March
28,
2013
ABSTRACT: The onset of ferromagnetic convection
in a micropolar ferromagnetic fluid layer heated from below in the presence of
a uniform applied vertical magnetic field has been investigated. The
rigid-isothermal boundaries of the fluid layer are considered to be either
paramagnetic or ferromagnetic and the eigenvalue problem is solved numerically
using the Galerkin method. It is noted that the paramagnetic boundaries with
large magnetic susceptibility χ delays the onset
of ferromagnetic convection the most when compared to very low magnetic
susceptibility as well as ferromagnetic boundaries. Increase in the value of
magnetic parameter M1 and spin diffusion (couple stress) parameter N3 is to hasten, while increase in the value of
coupling parameter N1 and micropolar heat conduction parameter N5 is to delay the onset of ferromagnetic
convection. Further, increase in the value of M1, N1, N5 and χ as well as decrease
in N3 is to diminish the size of convection cells.