Rayleigh-Benard Convection in Nanofluids Layer saturated in a Rotating Anisotropic Porous Medium with Feedback Control and Internal Heat Source

Control strategy on Rayleigh-Benard convection in rotating nanofluids saturated anisotropic porous layer heated from below is studied the presence of uniformly internal heat source for rigid-rigid, free-free, and lower-rigid upper-free boundaries. Feedback control with an array sensors situated at top plate actuators located bottom are considered this study. Linear stability analysis based normal mode technique has been performed, eigenvalue problem obtained numerically by implementing Galerkin method computed using Maple software. Model employed includes mechanisms Brownian motion thermophoresis. The onset convective rolls instabilities a horizontal isothermal boundaries unequal temperatures known as Horton-Roger-Lapwood model Darcy fluids flow used. influences source’s strength, modified diffusivity ratio, nanoparticles concentration Darcy-Rayleigh number Lewis found to advance convection, meanwhile mechanical anisotropy parameter, thermal porosity, rotation, controller effects slow down process instability. No visible observation particle density increment rigid-rigid most stable system compared free-free rigid-free