Control Effect on Rayleigh-Benard Convection in Rotating Nanofluids Layer with Double-Diffusive Coefficients

Abstract

Rayleigh-Benard convection in rotating nanofluids layer with feedback control and double-diffusive coefficients heated from below is examined. The model for nanofluid includes the mechanism of Brownian motion and thermophoresis. The system is considered for three types of lower-upper boundary conditions, free-free, rigid-free and rigid-rigid. Linear stability analysis based on normal mode technique is employed, the eigenvalue solution is obtained by Galerkin technique and solved by using Maple software. The effects of rotation, feedback control, double-diffusive cofficients and nanofluids parameters have significant impact to the system. Based on the observation, the effect of increasing the value of rotation, feedback control, Dufour parameter and solutal Rayleigh number are observed to stabilize the system. Meanwhile, the effect of increasing the value of Soret parameter, nanofluids Lewis number, nanoparticles concentration Rayleigh number and modified diffusivity ratio are found to destabilize the system. The effect of modified particles density increment in the system is very small and can be neglected. The effects of the parameters in the system are discussed and presented graphically.