TY - JOUR
T1 - On self-acceleration of outward propagating wrinkled flames
AU - Filyand, L.
AU - Sivashinsky, G. I.
AU - Frankel, M. L.
N1 - Funding Information:
These studies have been supported by the US Department of Energy (Grant No. DE-FGG2-88ER13822), by the National Science Foundation (Grants CTS-92-13414 and DMS-9305228) and by the Israel Ministry of Science and Technology Enlightening discussions with Dr. A. Bershad-sky and Dr. G. Jouhn are gratefully acknowledged.
PY - 1994/4/1
Y1 - 1994/4/1
N2 - Numerical simulations of hydrodynamically unstable outward propagating premixed flames are presented. In a qualitative agreement with many experimental observations it is shown that the expanding wrinkled flames enjoy an appreciable acceleration. The morphology of expanding wrinkled flames appears to be essentially different from that occuring in non-expanding flames. In the latter case short-wavelength corrugations merge forming a single cusp, whose scale is controlled by the overall size of the system. In expanding flames the tendency to merge is balanced by the overall stretch. As a result the flame interface appears to be more or less uniformly wrinkled. In contrast to hydrodynamically unstable flames, expanding flames, subject exclusively to the effect of diffusive instability, do not indicate any disposition towards acceleration.
AB - Numerical simulations of hydrodynamically unstable outward propagating premixed flames are presented. In a qualitative agreement with many experimental observations it is shown that the expanding wrinkled flames enjoy an appreciable acceleration. The morphology of expanding wrinkled flames appears to be essentially different from that occuring in non-expanding flames. In the latter case short-wavelength corrugations merge forming a single cusp, whose scale is controlled by the overall size of the system. In expanding flames the tendency to merge is balanced by the overall stretch. As a result the flame interface appears to be more or less uniformly wrinkled. In contrast to hydrodynamically unstable flames, expanding flames, subject exclusively to the effect of diffusive instability, do not indicate any disposition towards acceleration.
UR - http://www.scopus.com/inward/record.url?scp=0000392648&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(94)90170-8
DO - 10.1016/0167-2789(94)90170-8
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AN - SCOPUS:0000392648
SN - 0167-2789
VL - 72
SP - 110
EP - 118
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-2
ER -