The stability of double-diffusive convection in an inclined porous channel saturated with nanofluid and influenced by a magnetic field

Abstract

The stability of nanofluid flow in a porous inclined channel with double diffusion and a magnetic field is investigated. The Darcy-Brinkman model is used to characterize fluid flow dynamics in porous medium. The analytical solutions are obtained for the unidirectional and completely developed flow. The perturbed state's generalized eigenvalue problem is obtained using normal mode analysis. This eigenvalue problem is then solved using the spectral method. Key findings indicate that critical wavenumber and critical Rayleigh number, which determine the onset of instability, vary with different parameters. Specifically, an increase in the permeability, Soret parameter, thermo-solutal Lewis number, and Dufour parameter enhances system stability. Conversely, the inclination of the channel contribute to destabilizing the flow. Notably, the flow is most unstable when the channel is oriented vertically.