An Analytical Treatment on Coriolis Force and Non- Uniform Temperature Gradient for Isotropic and Anisotropic Free Convection in Porous Channel
Authors
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Department of Mathematics, Nrupathunga University, Bangalore – 560001, Karnataka ,IN
E. Girish -
Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore – 560054, Karnataka ,INP. A. Dinesh
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Department of Mathematics, Nrupathunga University, Bangalore – 560001, Karnataka ,IND. H. Madhur
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Department of Mathematics, Nrupathunga University, Bangalore – 560001, Karnataka ,IND. H. Mayur
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Department of Mathematics, Nrupathunga University, Bangalore – 560001, Karnataka ,INN. J. Manjunatha
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Department of Mathematics, Nrupathunga University, Bangalore – 560001, Karnataka ,INR. Sumithra
DOI:
https://doi.org/10.18311/jmmf/2023/43598Keywords:
Coriolis Force, Double Diffusion, Fourier Analysis.Abstract
The effects of Coriolis force and non-uniform temperature gradient on the onset of convection in a horizontal rectangular channel filled up with an incompressible fluid fully saturated with anisotropic porous media is studied by means of linear stability analysis. We derive the critical Rayleigh number expression analytically, the assumptions made in this study are, the walls of the conducting channels are considered to be impermeable and are good thermal conductors to maintain un-uniform temperature gradient vertically. The solution of the problems is found using the method of Fourier series with the coefficients as functions of horizontal co-ordinate. It is found that the effect of rotation in anisotropic porous permeability and thermal diffusivity have a significant effect on the Rayleigh number and the steady flow patterns and the effect of rotation more often destabilises the system and the Critical Rayleigh number is determined.
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