On the linear stability analysis of a Maxwell fluid with double-diffusive convection. (English) Zbl 1201.76013

Summary: The problem of double-diffusive convection and cross-diffusion in a Maxwell fluid in a horizontal layer in porous media is re-examined using the modified Darcy-Brinkman model. The effect of Dufour and Soret parameters on the critical Darcy-Rayleigh numbers is investigated. Analytical expressions of the critical Darcy-Rayleigh numbers for the onset of stationary and oscillatory convection are derived. Numerical simulations show that the presence of Dufour and Soret parameters has a significant effect on the critical Darcy-Rayleigh number for over-stability. In the limiting case some previously published results are recovered.


76A05 Non-Newtonian fluids
35B35 Stability in context of PDEs
76S05 Flows in porous media; filtration; seepage
Full Text: DOI


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