Controlling chaos in a thermal convection loop

Author:

Wang Yuzhou,Singer Jonathan,Bau Haim H.

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.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference26 articles.

1. Welander, P. 1967 On oscillatory instability of differentially heated fluid loop.J. Fluid Mech. 29,17–30.

2. Ott, E. , Grebogi, C. & Yorke, J. A. 1990b Controlling chaotic dynamical systems. In Chaos: Soviet-American Perspectives on Non-linear Science (ed. D. K. Campbell ),pp.153–172.Am. Inst. Phys.

3. Singer, J. & Bau, H. H. 1991 Active control of convection.Phys. Fluids A (to appear).

4. Hart, J. E. 1985 A note on the loop thermosyphon with mixed boundary conditions, Intl J. Heat Mass Transfer 28,939–947.

5. Lorenz, E. N. 1963 Deterministic nonperiodic flow.J. Atmos. Sci. 20,131–141.

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