Linear stability analysis of controlled Rayleigh-Bénard convection using shadowgraphic measurement
Journal Article (Letter;Journal)
We conduct a linear stability analysis of Rayleigh-Bénard convection in an infinite horizontal layer with active control of the lower boundary heat flux. A simple linear proportional control loop uses a shadowgraph of the convection pattern to actively distribute the constant-mean lower boundary heat flux while the upper boundary is kept at a constant temperature. We find it possible to shift the convection threshold by a factor of approximately 3. This is a companion paper to our recent experimental work. © 1997, American Institute of Physics. All rights reserved.
Full Text
Duke Authors
Cited Authors
- Howle, LE
Published Date
- January 1, 1997
Published In
Volume / Issue
- 9 / 11
Start / End Page
- 3111 - 3113
Electronic International Standard Serial Number (EISSN)
- 1089-7666
International Standard Serial Number (ISSN)
- 1070-6631
Digital Object Identifier (DOI)
- 10.1063/1.869428
Citation Source
- Scopus