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A Mechanism for Flame Acceleration in Narrow Tubes

Authors: James D. Ott; Elaine S. Oran; John D. Anderson;

A Mechanism for Flame Acceleration in Narrow Tubes

Abstract

A simple approachto controlthe vonKarman vortexstreet behind a two-dimensionalcircular cylinderbased on the proportional feedback of the estimate of just the Ž rst POD mode has been developed. A stabilityanalysisof this control lawwas conductedafter linearization about the desired equilibriumpoint (origin) and conditions for controllabilityand asymptotic stabilitywere developed.The control approach, applied to the four-mode cylinder wake POD model at a Reynolds number of 100 stabilizes the wake for a proportionalgain above1.6.Whereas the controlleruses only the estimatedamplitude of the Ž rst mode, all four modes are stabilized. This suggests that the higher-ordermodes are caused by a secondary instability.Thus, they are suppressed once the primary instability is controlled. The control approachwill be further examined to observe its sensitivity to time delays, actuator limitations,modeling and estimationerrors, and sensor noise.

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Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
80
Top 10%
Top 10%
Top 10%
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