Boundary Feedback Control for Heat Exchange Enhancement in 2D Magnetohydrodynamic Channel Flow by Extremum Seeking
L. Luo and E. Schuster
48th IEEE Conference on Decision and Control
Shanghai, China, December 16-18, 2009
Abstract
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The heat exchange efficiency of electrically conducting
fluids can drop dramatically when they interact with
externally imposed magnetic fields. The movement of such
fluids under the presence of imposed transverse magnetic fields
can generate substantial magnetohydrodynamics (MHD) effects
including the need of higher pressure gradients to drive the
fluids and lower heat transfer rates due to the laminarization
of the flows. Active boundary control can be employed to
overcome this disadvantage. We consider in this work a heat
exchange process in a 2D MHD channel flow. An extremumseeking
scheme is proposed to tune in real time a fixed-structure
boundary controller with the ultimate goal of maximizing the
outlet temperature of the electrically conducting cooling fluid,
and therefore enhancing the efficiency of the heat exchanger.
A heat transfer solver based on finite difference techniques is
developed to predict the temperature dynamics within the 2D
MHD channel, where the velocity dynamics is predicted by a
pseudo-spectral solver. Simulation results show the efficiency of
the proposed controller.