A stability analysis of a magnetic fluidized bed

The aim of this work is to investigate the stability of a polarized fluidized bed of magnetic particles against plane wave disturbances of small amplitudes. A continuum model is proposed so that continuity and momentum equations are written in terms of averaged variables. Magnetostatic equations are...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2003-03, Vol.258, p.464-467
Main Authors: Sobral, Y.D., Cunha, F.R.
Format: Article
Language:English
Subjects:
Fluidized beds
Magnetic pressure coefficient
Magnetic shape factor
Maxwell stress tensor
Particle pressure
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Summary:The aim of this work is to investigate the stability of a polarized fluidized bed of magnetic particles against plane wave disturbances of small amplitudes. A continuum model is proposed so that continuity and momentum equations are written in terms of averaged variables. Magnetostatic equations are averaged and an equation governing the disturbances of the magnetic field is obtained. Two new physical dimensionless parameters are defined: a magnetic pressure coefficient and a magnetic shape factor. The eigenvalue problem is solved and the temporal growth rate of the disturbances and the neutral lines are obtained. Results show that the magnetic pressure coefficient and the magnetic shape factor, which takes into account the orientation of the magnetic field disturbances with relation to the applied field, are the important physical parameters governing the dynamics of magnetic fluidized beds.
ISSN:0304-8853
DOI:10.1016/S0304-8853(02)01098-3