TY - JOUR
T1 - Nonlinear Stability and Bifurcation in the Transition from Laminar to Turbulent Flame Propagation
AU - Margolis, Stephen B.
AU - Matkowsky, Bernard J.
N1 - Funding Information:
This work was supported by the Office of Basic Energy Sciences, US. Department of Energy, and by additional grants from the Department of Energy (DE-AC02-78ER04650) and the Army Research Office (DAAG29-79C-0183). In addition, BJM gratefully acknowledges the support of a John Simon Guggenheim Memorial Foundation Fellowship.
PY - 1983/10/1
Y1 - 1983/10/1
N2 - We review recent analytical results in the theory of transition from laminar to turbulent premixed flame propagation. We exploit the fact that the overall activation energy is large to formally derive dynamical flame sheet models, which are then used to predict instability thresholds as functions of the various parameters in the problem, at which steps in the transition occur. Employing perturbation techniques, we then describe bifurcations from a steady, planar flame to both pulsating and cellular modes of propagation. These nonsteady, nonplanar propagation modes represent intermediate stages in the evolution from laminar to turbulent combustion.
AB - We review recent analytical results in the theory of transition from laminar to turbulent premixed flame propagation. We exploit the fact that the overall activation energy is large to formally derive dynamical flame sheet models, which are then used to predict instability thresholds as functions of the various parameters in the problem, at which steps in the transition occur. Employing perturbation techniques, we then describe bifurcations from a steady, planar flame to both pulsating and cellular modes of propagation. These nonsteady, nonplanar propagation modes represent intermediate stages in the evolution from laminar to turbulent combustion.
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U2 - 10.1080/00102208308923687
DO - 10.1080/00102208308923687
M3 - Article
AN - SCOPUS:0020921541
SN - 0010-2202
VL - 34
SP - 45
EP - 77
JO - Combustion Science and Technology
JF - Combustion Science and Technology
IS - 1-6
ER -