Positive feedback control of Rayleigh-Bénard convection

We consider the problem of active feedback control of Rayleigh-Bénard convection via shadowgraphic measurement. Our theoretical studies show, that when the feedback control is positive, i.e. is tuned to advance the onset of convection, there is a critical threshold beyond which the system becomes linearly ill-posed so that short-scale disturbances are greatly amplified. Experimental observation suggests that finite size effects become important and we develop a theory to explain these contributions. As an efficient modelling tool for studying the dynamics of such a controlled pattern forming system, we use a Galerkin approximation to derive a dimension reduced model.

Duke Authors

Cited Authors

  • Wagner, BA; Bertozzi, AL; Howle, LE

Published Date

  • 2003

Published In

Volume / Issue

  • 3 / 4

Start / End Page

  • 619 - 642

International Standard Serial Number (ISSN)

  • 1531-3492

Citation Source

  • SciVal