×

zbMATH — the first resource for mathematics

On flame extinction by a spatially periodic shear flow. (English) Zbl 0944.76093
Summary: We show that the adiabatic high Lewis number premixed gas flame spreading through a large-scale zero-mean time-independent periodic shear flow constitutes a bi-stable system with a hysteretic transition between stable propagation modes. A mildly non-adiabatic flame may be quenched provided the flow-field intensity exceeds a certain critical value. The study is motivated by the experimentally known phenomenon of flame extinction by turbulence.

MSC:
76V05 Reaction effects in flows
80A25 Combustion
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Abdel-Gayed, R G, Bradley, D, Hamid, M N and Lawes, M. 20th Int. Symp. on Combustion. pp.505–12. Pittsburgh, PA: Combustion Institute.
[2] Bradley, D. 24th Int. Symp. on Combustion. pp.247–62. Pittsburgh, PA: Combustion Institute.
[3] DOI: 10.1103/PhysRevE.51.1172 · doi:10.1103/PhysRevE.51.1172
[4] DOI: 10.1016/S0010-2180(96)00108-3 · doi:10.1016/S0010-2180(96)00108-3
[5] DOI: 10.1137/0151017 · Zbl 0717.76108 · doi:10.1137/0151017
[6] DOI: 10.1080/00102209408935326 · doi:10.1080/00102209408935326
[7] DOI: 10.1080/00102209108951783 · doi:10.1080/00102209108951783
[8] DOI: 10.1016/0010-2180(95)00240-5 · doi:10.1016/0010-2180(95)00240-5
[9] Shy, S S, Ronney, P D, Buckley, S G and Yakhot, V. 24th Int. Symp. on Combustion. pp.543–51. Pittsburgh, PA: Combustion Institute.
[10] DOI: 10.1080/00102209408935452 · doi:10.1080/00102209408935452
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.