A reduced order Galerkin model for the reacting flameholder

Fu Li, Gilead Tadmor, Bernd R. Noack, Andrzej Banaszuk, Prashant G. Mehta

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A low dimensional Galerkin model is developed for the near wake behind a flameholder. The model represents the interactions between the von Kármán vortex shedding instability and a dynamic mean field correction. The instability is captured by the two leading proper orthogonal decomposition (POD) modes of the nonreacting attractor. A shift mode represents dynamic mean field corrections in the cold flow, and an expansion mode represents the added dilatation effects, in the reacting now. The model is used to demonstrate the attenuating effect of heat release on the instability: Under combustion, the POD Fourier coefficients, representing vortex shedding, are suppressed and the shift mode coefficient becomes increasingly negative, representing movement towards the steady solution.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - 3rd AIAA Flow Control Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
Pages1119-1132
Number of pages14
ISBN (Print)1563478137, 9781563478130
DOIs
StatePublished - Jan 1 2006
Event3rd AIAA Flow Control Conference - San Francisco, CA, United States
Duration: Jun 5 2006Jun 8 2006

Publication series

NameCollection of Technical Papers - 3rd AIAA Flow Control Conference
Volume2

Other

Other3rd AIAA Flow Control Conference
CountryUnited States
CitySan Francisco, CA
Period6/5/066/8/06

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Li, F., Tadmor, G., Noack, B. R., Banaszuk, A., & Mehta, P. G. (2006). A reduced order Galerkin model for the reacting flameholder. In Collection of Technical Papers - 3rd AIAA Flow Control Conference (pp. 1119-1132). (Collection of Technical Papers - 3rd AIAA Flow Control Conference; Vol. 2). American Institute of Aeronautics and Astronautics Inc.. https://doi.org/10.2514/6.2006-3487