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