Flame rings can be considered as premixed flame units with a topology structure similar to flame balls within confined spaces. Numerical methods were employed to investigate the axisymmetric two-dimensional steady-state solutions of flame rings in narrow channels and their response to changes in channel height. The stability of flame rings under radial and three-dimensional small perturbations was examined. Comparative analysis was conducted on the results obtained by using linear approximation assumptions along the channel height direction, and the qualitative reasonableness and effectiveness of the linear approximation assumptions were validated. Meanwhile, from a quantitative perspective, this study reveals the true three-dimensional structure of flame rings and their stability under three-dimensional perturbations, laying a solid foundation for researching and understanding the more complex three-dimensional dynamics of flame rings in the future.
FAN Miao
,
LU Zhanbin
. Three-dimensional structure and dynamics of flame rings in narrow channels[J]. Journal of Shanghai University, 2026
, 32(1)
: 108
-115
.
DOI: 10.12066/j.issn.1007-2861.2620
[1] Zeldovich Y B, Barenblatt G I, Librovich V B, et al. The mathematical theory of combustion and explosion [M]. New York: Plenum, 1985.
[2] Ronney P D. Near-limit flame structures at low Lewis number [J]. Combust Flame, 1990, 82: 1-14.
[3] Buckmaster J D, Joulin G, Ronney P D. The structure and stability of nonadiabatic flame balls [J]. Combust Flame, 1990, 79: 381-392.
[4] Buckmaster J D, Joulin G, Ronney P D. The structure and stability of nonadiabatic flame balls: Ⅱ. Efiects of far-field losses [J]. Combust Flame, 1991, 84: 411-422.
[5] Buckmaster J D, Joulin G. Flame balls stabilized by suspension in fluid with a steady linear ambient velocity distribution [J]. J Fluid Mech, 1991, 227: 407-427.
[6] Ronney P D, Wu M S, Pearlman H G, et al. Experimental study of flame balls in space: preliminary results from STS-83[J]. AIAA Journal, 1998, 36: 1361-1368.
[7] Buckmaster J D, Ronney P D. Flame-ball drift in the presence of a total difiusive heat flux [J]. Proc Combust Inst, 1998, 27: 2603-2610.
[8] Lu Z, Buckmaster J D. Interactions of flame balls [J]. Combust Theory Model, 2008, 12: 699-715.
[9] Mohamed A, Liu J B, Ronney P D, et al. Structure of flame balls at low Lewis-number (SOFBALL): new results from STS-107[C]// 42nd AIAA Aerospace Sciences Meeting and Exhibit. 2004: 2875-2882.
[10] Gerlinger W, Schneider K, Bockhorn H. Numerical simulation of three-dimensional instabilities of spherical flame structures [J]. Proc Combust Inst, 2000, 28: 793-799.
[11] Okuno T, Akiba T, Nakamura H, et al. Broken C-shaped extinction curve and near-limit flame behaviors of low Lewis number counterflow flames under microgravity [J]. Combust Flame, 2018, 194: 343-351.
[12] Zhou Z, Shoshin Y, Hernandez-Perez F E, et al. Formation and stabilization of multiple ball-like flames at earth gravity [J]. Combust Flame, 2018, 192: 35-43.
[13] Daou J, Matalon M. Influence of conductive heat-losses on the propagation of premixed flames in channels [J]. Combust Flame, 2002, 128: 321-339.
[14] Bieri J A, Kurdyumov V N, Matalon M. The effect of gas expansion on edge flames stabilized in narrow channels [J]. Proc Combust Inst, 2011, 33: 1227-1234.
[15] Mokrin S N, Odintsov E S, Uriupin G V, et al. Flammability limit of moderate- and lowstretched premixed flames stabilized in planar channel [J]. Combust Flame, 2017, 185: 261-264.
[16] Wang S F, Wang S D, Zhu K C, et al. Near quenching limit instabilities of concurrent flame spread over thin solid fuel [J]. Combust Sci Technol, 2016, 188: 451-471.
[17] Chen X, Lu Z, Wang S. Near limit premixed flamelets in Hele-Shaw cells [J]. Proc Combust Inst, 2017, 36: 1585-1593.
[18] Lu Z, Li J. Dynamics of flame rings in a thermally-conductive narrow channel: a numerical experiment [J]. Combust Theory Model, 2021, 25: 1158-1174.
