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Cross Diffusion Convection in a Newtonian Fluid-Saturated Rotating Porous Medium
Authors:B S Bhadauria  I Hashim  Jogendra Kumar  Alok Srivastava
Institution:1. Department of Applied Mathematics, School for Physical Sciences, Babasaheb Bhimrao Ambedkar University, Lucknow, 226025, India
2. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, Bangi, Selangor, Malaysia
3. School of Basic and Applied Sciences, Galgotias University, Greater Noida, 201306, UP, India
4. Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, 221005, India
Abstract:Effect of rotation on linear and nonlinear instability of cross-diffusive convection in an anisotropic porous medium saturated with Newtonian fluid has been investigated. Normal mode technique has been used for linear stability analysis, however nonlinear analysis is done using spectral method, involving only two terms. The Darcy model with Coriolis terms, has been employed in the momentum equation. Nonlinear analysis is used to find the thermal and concentration Nusselt numbers. The effects of various parameters, including Soret and Dufour parameters, on stationary and oscillatory convection, have been obtained, and shown graphically.
Keywords:
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