Positive feedback control of Rayleigh-Bénard convection
Published
Journal Article
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
- November 1, 2003
Published In
Volume / Issue
- 3 / 4
Start / End Page
- 619 - 642
International Standard Serial Number (ISSN)
- 1531-3492
Citation Source
- Scopus