On the stability of the isoflux Darcy–Bénard problem with a generalised basic state

The scope of this study is to determine the conditions for onset instability in a horizontal porous layer subject isoflux boundary and with an infinitely wide single–cell basic flow. When circulation cellular flow absent, one recovers usual Darcy–Bénard conduction state. governing parameters are Rayleigh number associated uniform wall heat flux, dimensionless temperature gradient. latter parameter controls magnitude direction. modal analysis carried out numerically by employing pseudo–spectral method, as well shooting method solution stability eigenvalue problem. Neutral critical convective state investigated.