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Effect of Non-Uniform Temperature Gradient on the Onset of Rayleigh-Bénard Electro Convection in a Micropolar Fluid
Department of Mathematics, Christ University, Bangalore, India
Department of Mathematics, Christ University, Bangalore, India
- 1 Department of Mathematics, Christ University, Bangalore, India
- 2 Department of Mathematics, Christ University, Bangalore, India
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Abstract
The effects of electric field and non-uniform basic temperature gradient on the onset of Rayleigh-Bénard convection in a micropolar fluid are studied using the Galerkin technique. The eigenvalues are obtained for free-free, rigid-free and rigid-rigid velocity boundary combinations and for isothermal and/or adiabatic temperature boundaries. The microrotation is assumed to vanish at the boundaries. A linear stability analysis is performed. The influence of various micropolar fluid parameters and electric Rayleigh number on the onset of convection has been analyzed. One linear and five non-uniform temperature profiles are considered and their comparative influence on onset is discussed.
KeywordsMicropolar FluidRayleigh NumberElectro ConvectionNon-Uniform Temperature GradientsGalerkin Technique
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