TY - JOUR
T1 - Quasi-steady stages in the process of premixed flame acceleration in narrow channels
AU - Valiev, D. M.
AU - Bychkov, V.
AU - Akkerman, V.
AU - Eriksson, L. E.
AU - Law, C. K.
N1 - Funding Information:
The work at Umeå University was supported by the Swedish Research Council (VR), the Kempe Foundation, and Stiftelsen Lars Hiertas Minne Grant No. FO2010-1015. Numerical simulations were performed at High Performance Computer Center North (HPC2N), Umeå, Sweden, within SNAC Project No. 001-10-159. The work at Princeton University was supported by the U.S. Air Force Office of Scientific Research.
PY - 2013/9/18
Y1 - 2013/9/18
N2 - The present paper addresses the phenomenon of spontaneous acceleration of a premixed flame front propagating in micro-channels, with subsequent deflagration-to-detonation transition. It has recently been shown experimentally [M. Wu, M. Burke, S. Son, and R. Yetter, Proc. Combust. Inst.31, 2429 (2007)]10.1016/j.proci.2006.08.098, computationally [D. Valiev, V. Bychkov, V. Akkerman, and L.-E. Eriksson, Phys. Rev. E80, 036317 (2009)]10.1103/PhysRevE.80.036317, and analytically [V. Bychkov, V. Akkerman, D. Valiev, and C. K. Law, Phys. Rev. E81, 026309 (2010)]10.1103/PhysRevE.81.026309 that the flame acceleration undergoes different stages, from an initial exponential regime to quasi-steady fast deflagration with saturated velocity. The present work focuses on the final saturation stages in the process of flame acceleration, when the flame propagates with supersonic velocity with respect to the channel walls. It is shown that an intermediate stage may occur during acceleration with quasi-steady velocity, noticeably below the Chapman-Jouguet deflagration speed. The intermediate stage is followed by additional flame acceleration and subsequent saturation to the Chapman-Jouguet deflagration regime. We elucidate the intermediate stage by the joint effect of gas pre-compression ahead of the flame front and the hydraulic resistance. The additional acceleration is related to viscous heating at the channel walls, being of key importance at the final stages. The possibility of explosion triggering is also demonstrated.
AB - The present paper addresses the phenomenon of spontaneous acceleration of a premixed flame front propagating in micro-channels, with subsequent deflagration-to-detonation transition. It has recently been shown experimentally [M. Wu, M. Burke, S. Son, and R. Yetter, Proc. Combust. Inst.31, 2429 (2007)]10.1016/j.proci.2006.08.098, computationally [D. Valiev, V. Bychkov, V. Akkerman, and L.-E. Eriksson, Phys. Rev. E80, 036317 (2009)]10.1103/PhysRevE.80.036317, and analytically [V. Bychkov, V. Akkerman, D. Valiev, and C. K. Law, Phys. Rev. E81, 026309 (2010)]10.1103/PhysRevE.81.026309 that the flame acceleration undergoes different stages, from an initial exponential regime to quasi-steady fast deflagration with saturated velocity. The present work focuses on the final saturation stages in the process of flame acceleration, when the flame propagates with supersonic velocity with respect to the channel walls. It is shown that an intermediate stage may occur during acceleration with quasi-steady velocity, noticeably below the Chapman-Jouguet deflagration speed. The intermediate stage is followed by additional flame acceleration and subsequent saturation to the Chapman-Jouguet deflagration regime. We elucidate the intermediate stage by the joint effect of gas pre-compression ahead of the flame front and the hydraulic resistance. The additional acceleration is related to viscous heating at the channel walls, being of key importance at the final stages. The possibility of explosion triggering is also demonstrated.
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U2 - 10.1063/1.4819885
DO - 10.1063/1.4819885
M3 - Article
AN - SCOPUS:84885079009
SN - 1070-6631
VL - 25
JO - Physics of Fluids
JF - Physics of Fluids
IS - 9
M1 - 096101
ER -