Small and moderate Vadasz number chaotic convection in porous media in the presence of non-Boussinesq effects and feedback control

Feedback control on thermal convection in a fluid-saturated porous medium is investigated based on the approach of dynamical systems. A low dimensional Lorenz-like model was obtained using the Galerkin truncated approximation. The possible suppression or enhancement of chaotic convection is demonstrated.

► We investigate the influence of feedback control on convective motion in porous media. ► Increasing small value of controller gain in a chaotic system is sufficient to control its dynamics. ► Chaotic behaviour can be suppressed and enhanced in the presence of controller gain K. ► Feedback control strategy may be used to delay or indeed speed up the onset of chaotic convection. ► Feedback control has stabilizing or destabilizing character and widely used in many industrial processes.