Controlling Chaotic and Periodic Dynamics for Small and Moderate Prandtl Number in a Porous Layer Subject to Vibration
The instability of natural convection for small and moderate Prandtl number in a fluid-saturated porous layer
heated from below and subject to vibration is investigated theoretically using dynamical systems approach. A feedback
control strategy is applied with an array of sensors situated at the top of the fluid layer and boundary actuators at the bottom
layer for chaos elimination. The Galerkin truncated approximation is employed to derive a low dimensional Lorenz-like
model. It is shown that suppression and enhancement of chaotic convection is possible via feedback control.