Thermohaline convection with cross-diffusion in an anisotropic porous medium |
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Authors: | Prabhamani R Patil C P Parvathy |
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Institution: | 1. Department of Mathematics, Anna University, Madras Institute of Technology Campus, 600 044, Madras, India 2. Shrimathi Dev Kunvar Nanalal Bhatt Vaishnav College for Women, 600 044, Madras, India
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Abstract: | Using normal mode technique it has been shown that (i) values of the anisotropy parameter are important in deciding the mode
of convection in a doubly diffusive fluid saturating a porous medium. (ii) Depending on the values of the Soret and Dufour
parameters, an increase in anisotropy parameter either promotes or inhibits instability, (iii) cross-diffusion induces instability
even in a potentially stable set-up and (iv) for certain values of the Dufour and Soret parameters there is a discontinuity
in the critical thermal Rayleigh number, which disappears if the porous medium has horizontal isotropy. |
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Keywords: | Anisotropy cross-diffusion porous medium stability thermohaline convection |
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