Uniform Solution on the Combined Effect of Magnetic Field and Internal Heat Generation on Rayleigh–Bénard Convection in Micropolar Fluid

Author:

Khalid I. K.1,Mokhtar N. F. M.2,Arifin N. M.1

Affiliation:

1. Department of Mathematics, Universiti Putra Malaysia, 43400 UPM, Serdang, Malaysia

2. Centre of Foundation Studies, Universiti Putra Malaysia, 43400 UPM, Serdang, Malaysia e-mail:

Abstract

Combined effect of magnetic field and internal heat generation on the onset of Rayleigh–Bénard convection in a horizontal micropolar fluid layer is studied. The bounding surfaces of the liquids are considered to be rigid-free, rigid-rigid, and free-free with combination isothermal on the spin-vanishing boundaries. A linear stability analysis is used and the Galerkin method is employed to find the critical stability parameters numerically. The influence of various parameters on the onset of convection has been analyzed. It is shown that the presence of magnetic field always has a stability effect on the Rayleigh–Bénard convection in micropolar fluid.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference14 articles.

1. Theory of Micropolar Fluid;J. Math. Mech.,1966

2. Theory of Thermomicrofluids;J. Math. Anal. Appl.,1972

3. On Convection Currents in a Horizontal Layer of Fluid When Higher Temperature is on the Under-Side;Philos. Mag.,1916

4. Stability of Micropolar Layer Heated From Below;Int. J. Eng. Sci.,1976

5. Onset of Instability in a Heat Conducting Micropolar Fluid Layer;Acta Mech.,1979

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