Abstract

Control strategy on Rayleigh–Benard convection in rotating Darcy–Maxwell nanofluids saturated in porous layer heated from below is studied in the presence of viscosity and thermal conductivity variations for rigid–rigid, free–free, and lower-rigid and upper-free boundaries. Feedback control strategy with an array of sensors situated at the top plate and actuators located at the bottom plate of the nanofluids layer are considered in this study. Linear stability analysis based on normal mode technique has been performed, the eigenvalue problem is obtained numerically by implementing the Galerkin method and computed by using Maple software. Model employed for the nanofluids includes the mechanisms of Brownian motion and thermophoresis. The important effects of feedback control, rotation, Vadasz number, relaxation parameter, viscosity variation, thermal conductivity variation, porosity and nanofluids parameters have been presented graphically and discussed.

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