The onset of penetrative convection stimulated by internal heating in a magnetic nanofluid saturating a rotating porous medium

Abstract

In this work, we investigate the effect of rotation on the onset of penetrative convection stimulated by internal heating in a thin layer of magnetic nanofluid saturating a porous medium. A model that includes the effect of Brownian diffusion, thermophoresis, and magnetophoresis is considered, while the Brinkman model is used for the porous medium. The following three boundary conditions are considered: rigid–rigid, rigid–free, and free–free. We discretized the partial differential equations by applying the Chebyshev pseudospectral method and used the QZ algorithm to solve the resulting eigenvalue problem for water and ester-based magnetic nanofluids. The nature of stability is determined by using the numerical method and is found to be stationary. The results indicate that the onset of convection is advanced with an increase in the Lewis number Le, concentration Rayleigh number Rn, and modified diffusivity ratio NA but the opposite is true in the case with an increase in the width of magnetic nanofluid layer d, Langevin parameter αL, porosity ε, Darcy number Da, modified diffusivity ratio [Formula: see text], and Taylor number TA. Moreover, the parameter NB does not affect the stability of the system significantly.