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Controlling chaos in a thermal convection loop

Published online by Cambridge University Press:  26 April 2006

Yuzhou Wang ,
Jonathan Singer  and
Haim H. Bau
Yuzhou Wang
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6315, USA
Jonathan Singer
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6315, USA
Haim H. Bau
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Philadelphia, PA 19104-6315, USA
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Abstract

It is demonstrated experimentally and theoretically that through the use of an active (feedback) controller one can dramatically modify the nature of the flow in a toroidal thermal convection loop heated from below and cooled from above. In particular, we show how a simple control strategy can be used to suppress (laminarize) the naturally occurring chaotic motion or induce chaos in otherwise time-independent flow. The control strategy consists of sensing the deviation of fluid temperatures from desired values at a number of locations inside the loop and then altering the wall heating to either counteract or enhance such deviations.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 237 , April 1992 , pp. 479 - 498
Copyright
© 1992 Cambridge University Press

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