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ORIGINAL PAPER
The Effect of Magnetic Field Dependent Viscosity on Ferromagnetic Convection in a Rotating Sparsely Distributed Porous Medium - Revisited
1
Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla-, 171005, India
2
Department of Mathematics, School of Mathematics, Computer and Information Science, CUHP, Dharamsala (H.P.), India
3
Department of Mathematics, SVSD PG College, Bhatoli, Distt. UNA (H.P.) India
4
NIC, B-Wing, Level-3 Delhi, Secretariat, Delhi-, 110002, India
Online publication date: 2020-03-12
Publication date: 2020-03-01
International Journal of Applied Mechanics and Engineering 2020;25(1):142-158
KEYWORDS
ABSTRACT
The effect of magnetic field dependent (MFD) viscosity on the thermal convection in a ferrofluid layer saturating a sparsely distributed porous medium has been investigated by using the Darcy-Brinkman model in the simultaneous presence of a uniform vertical magnetic field and a uniform vertical rotation. A correction is applied to the study of Vaidyanathan et al. [11] which is very important in order to predict the correct behavior of MFD viscosity. A linear stability analysis has been carried out for stationary modes and oscillatory modes separately. The critical wave number and critical Rayleigh number for the onset of instability, for the case of free boundaries, are determined numerically for sufficiently large values of the magnetic parameter M1. Numerical results are obtained and are illustrated graphically. It is shown that magnetic field dependent viscosity has a destabilizing effect on the system for the case of stationary mode and a stabilizing effect for the case of oscillatory mode, whereas magnetization has a destabilizing effect.
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