<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>The effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below and cooled from above in the presence of vertical magnetic field is investigated theoretically. The bounding surfaces are considered to be either rigid-ferromagnetic or stress free with constant heat flux conditions. The resulting eigenvalue problem is solved using the Galerkin technique and also by regular perturbation technique. It is found that increase in MFD viscosity and decrease in magnetic number is to delay the onset of ferroconvection, while the nonlinearity of fluid magnetization has no influence on the stability of the system.</p></abstract>

The effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below and cooled from above in the presence of vertical magnetic field is investigated theoretically. The bounding surfaces are considered to be either rigid-ferromagnetic or stress free with constant heat flux conditions. The resulting eigenvalue problem is solved using the Galerkin technique and also by regular perturbation technique. It is found that increase in MFD viscosity and decrease in magnetic number is to delay the onset of ferroconvection, while the nonlinearity of fluid magnetization has no influence on the stability of the system.

Effect of MFD Viscosity on the Onset of Ferromagnetic Fluid Layer Heated from Below and Cooled from Above with Constant Heat Flux

Department of Mathematics, Dr. Ambedkar Institute of Technology, Bangalore -560 056, INDIA

UGC-Centre for Advanced Studies in Fluid Mechanics, Department of Mathematics, Bangalore University, Bangalore — 560 001, INDIA

Department of Mathematics, C M R Institute of Technology, Bangalore -560 037, INDIA

Measurement Science Review

The effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below and cooled from above in the...

Effect of MFD Viscosity on the Onset of Ferromagnetic Fluid Layer Heated from Below and Cooled from Above with Constant Heat Flux

Published Online: Jul 21, 2009

Page range: 75 - 80

DOI: https://doi.org/10.2478/v10048-009-0010-x

Keywords
ferromagnetic fluid, constant heat flux, Galerkin technique, MFD viscosity

This content is open access.

Effect of MFD Viscosity on the Onset of Ferromagnetic Fluid Layer Heated from Below and Cooled from Above with Constant Heat Flux

Published Online: Jul 21, 2009

Page range: 75 - 80

DOI: https://doi.org/10.2478/v10048-009-0010-x

Keywordsferromagnetic fluid, constant heat flux, Galerkin technique, MFD viscosity

This content is open access.

Keywords
ferromagnetic fluid, constant heat flux, Galerkin technique, MFD viscosity