Stability analyses of micropolar fluid-saturated horizontal porous layer due to the influence of uniform internal heat source and vertical throughflow

The current article aims to investigate the stability analyses of double-diffusive convection in a horizontal porous layer filled with micropolar fluid due to the influence of a uniform internal heat source and vertical throughflow. The usual normal mode technique is applied to investigate the linear stability analysis, whereas the well-known energy approach is utilized to study the nonlinear stability analysis. The resulting eigenvalue problems corresponding to linear and nonlinear stability theories are numerically solved by employing the bvp4c routine in MATLAB 2024(a). The critical thermal Rayleigh number for both the linear and nonlinear theories are computed for the different values of the flow-regulating parameters and depicted graphically. It is observed that the flow configuration shows stabilizing behavior for upward throughflow but destabilizing behavior for downward throughflow in the presence of an internal heat source.