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Thermohaline convection with cross-diffusion in an anisotropic porous medium
Authors:Prabhamani R Patil  C P Parvathy
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
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.
Keywords:Anisotropy  cross-diffusion  porous medium  stability  thermohaline convection
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