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Markstein numbers characterizing the influence of stretch on the speed of thin laminar flames are determined computationally for lean and rich methane-air mixtures using results from a recent experimental study of thermoacoustic instability in a Taylor-Couette burner. A model describing the response of a thin laminar flame to acoustic flow-field excitation, which is found to exhibit dependence of thermoacoustic-instability characteristics on Markstein number, is used to determine Markstein numbers from measurements of the critical acoustic-velocity amplitudes associated with the onset of the secondary thermoacoustic instability. The model accounts for the Saffman-Taylor influence of viscosity on thermoacoustic instability for adiabatic flame propagation between closely separated walls.
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Keywords: Markstein number; Saffman-Taylor instability; thermoacoustic instability

Document Type: Research Article

Affiliations: Department of Mechanical and Aeronautical Engineering, University of California, Davis, California, USA

Publication date: May 1, 2005

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