Mixing Enhancement in 2D Magnetohydrodynamic Channel Flow by Extremum Seeking Boundary Control
L. Luo and E. Schuster
American Control Conference
St. Louis, Missouri, USA, June 10-12, 2009
Abstract
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The interaction between electrically conducting
fluids and magnetic fields in channel flows generates significant
magnetohydrodynamics (MHD) effects, which often result in
the need of higher pressure gradients to drive the fluid and
lower heat transfer rates due to the laminarization of the
flow. Active boundary control, either open-loop or closedloop,
can be employed to overcome this limitation. Open-loop
controllers are in general more sensitive to uncertainties of the
system, which may result in a poorer performance. Extremum
seeking is a powerful tool to tune in real time open-loop
controllers, incorporating certain degree of feedback into the
control scheme. In this work we combine extremum seeking
with a fixed-structure open-loop controller with the ultimate
goal of enhancing mixing in a 2D MHD channel by boundary
actuation. We show that by carefully tuning the extremum
seeking controller the modified open-loop control scheme can be
as effective as previously proposed closed-loop control schemes.