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Cited by 99 publications
(50 citation statements)
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References 28 publications
(70 reference statements)
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“…The connective branches between the bifurcation point and the non-symmetric solutions are unstable and are not plotted in the figures. Hysteresis showing a double solution has already been reported in the dynamics of hydrogen-air flames in micro-and meso-scale channels with a prescribed wall temperature [17,18]. The inset in Figure 4(b) shows the same effect, that is, hysteresis in the symmetric solution branch.…”
Section: Symmetry-breaking Bifurcation Forsupporting
confidence: 59%
See 3 more Smart Citations
“…The connective branches between the bifurcation point and the non-symmetric solutions are unstable and are not plotted in the figures. Hysteresis showing a double solution has already been reported in the dynamics of hydrogen-air flames in micro-and meso-scale channels with a prescribed wall temperature [17,18]. The inset in Figure 4(b) shows the same effect, that is, hysteresis in the symmetric solution branch.…”
Section: Symmetry-breaking Bifurcation Forsupporting
confidence: 59%
“…For example, for Le F < 1 we choose a lean hydrogen-air mixture at equivalence ratio φ = 0.5, such as done in [17][18][19]. For Le F = 1 a lean methaneair mixture at φ = 0.6 is selected.…”
Section: Scale Of the Problem And Thermodynamic Propertiesmentioning
confidence: 99%
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“…The "FREI" phenomenon was also experimentally found and studied by Stazio et al [53] for a methane/air premixed flame in a 2.15-mm inner diameter straight tube with a prescribed wall temperature profile maintained by an external heating source, Richecoeur et al [54] for a non-premixed methane/oxygen flame in a 4-mm inner diameter curved duct without external heating, and Evans et al [55] for rich methane and propane/oxygen flames in 4-mm inner diameter non-externally-heated ducts made of different materials of quartz, glass and steel. Apart from experimental studies, the "FREI" was also successfully reproduced in numerical simulations [56][57][58][59][60][61][62].…”
Section: Fundamental Studiesmentioning
confidence: 87%