Thermal Convection in a Ferromagnetic Fluid Layer with Magnetic Field Dependent Viscosity: A Correction Applied

Author:

Prakash Jyoti1,Kumar Rajeev2,Kumari Kultaran2

Affiliation:

1. Department of Mathematics and Statistics , Himachal Pradesh University , Summer Hill, Shimla 171005 , India

2. Research Scholar, Department of Mathematics and Statistics , Himachal Pradesh University , Summer Hill, Shimla 171005 , India .

Abstract

Abstract The effect of magnetic field dependent (MFD) viscosity on thermal convection in a horizontal ferromagnetic fluid layer has been investigated numerically. A correction is applied to Sunil et al. [24] which is very important in order to predict the correct behavior of MFD viscosity. Linear stability analysis has been carried out for stationary convection. The MFD viscosity parameter δ as well as the measure of nonlinearity of magnetization M 3, both have a stabilizing effect on the system. Numerical results are also obtained for large values of magnetic parameter M 1 and predicted graphically.

Publisher

Walter de Gruyter GmbH

Subject

Computers in Earth Sciences,Mechanics of Materials,Geotechnical Engineering and Engineering Geology,Civil and Structural Engineering

Reference30 articles.

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2. [2] Chandrasekhar S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, Inc., New York 1981.

3. [3] Finlayson B.A., Convective instability of ferromagnetic fluids, J. Fluid Mech., 1970, 40, 753.10.1017/S0022112070000423

4. [4] Kefayati G.H.R., Lattice Boltzmann simulation of natural convection in partially heated cavities utilizing kerosene/cobalt ferrofluid, IJST, Trans. Mech. Eng., 2013, 37(M2), 107.

5. [5] Lalas D.P., Carmi S., Thermoconvective stability of ferrofluids, Phys. Fluids, 1971, 14(2), 436.10.1063/1.1693446

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