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Two-component convection in micropolar fluid under time-dependent boundary concentration

  • J. Meghana and S. Pranesh
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Mathematical Fluid Mechanics
This chapter is in the book Mathematical Fluid Mechanics

Abstract

The effect of imposed boundary concentration modulation on the onset of convection, heat, and mass transfer in two-component convection in a micropolar fluid is studied. In linear theory, using the perturbation method an expression for the Rayleigh number and the correction Rayleigh number is obtained as a function of micropolar fluid parameters, frequency, and amplitude. The effect of various parameters on heat and mass transport is studied by deriving the Ginzburg Landau equation from the sixth order Lorenz equations. It is found that by increasing the coupling parameter parameter N1, heat transfer decreases and mass transfer increases.

Abstract

The effect of imposed boundary concentration modulation on the onset of convection, heat, and mass transfer in two-component convection in a micropolar fluid is studied. In linear theory, using the perturbation method an expression for the Rayleigh number and the correction Rayleigh number is obtained as a function of micropolar fluid parameters, frequency, and amplitude. The effect of various parameters on heat and mass transport is studied by deriving the Ginzburg Landau equation from the sixth order Lorenz equations. It is found that by increasing the coupling parameter parameter N1, heat transfer decreases and mass transfer increases.

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