Sn. Singh et Pr. Bandyopadhyay, LINEAR FEEDBACK-CONTROL OF BOUNDARY-LAYER USING ELECTROMAGNETIC MICROTILES, Journal of fluids engineering, 119(4), 1997, pp. 852-858
This paper presents a system-theory approach to control of a two-dimen
sional turbulent flow of saltwater on a flat plate using Lorentz force
s produced by microtiles of small magnets and electrodes. Beginning wi
th the two-dimensional Navier-Stokes equations of motion, a finite, di
mensional, linear state variable, approximate model is obtained using
Galerkin's procedure. Based on this model, linear feedback control law
s are obtained to achieve stabilization of the perturbed flow to the b
ase flow. It is shown that spatially distributed longitudinal or surfa
ce-normal forces stabilize the flow perturbations. However, for lower
wave numbers, longitudinal forces are more effective because surface-n
ormal forces require larger electrode voltages for the same response c
haracteristics. Simulation results are presented to show how stabiliza
tion is accomplished in the closed-loop system.