- Howle, Laurens E., Linear stability analysis of controlled Rayleigh-Benard convection using shadowgraphic measurement,
Physics of Fluids, vol. 9 no. 11
pp. 3111 - [1.869428] .
(last updated on 2011/07/03)
We conduct a linear stability analysis of Rayleigh-Benard 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.