TY - JOUR
T1 - The stability of plane flames attached to a flameholder
AU - Kaper, H. G.
AU - Leaf, G. K.
AU - Matalon, M.
AU - Matkowsky, B. J.
N1 - Funding Information:
This work was suppo rted by the Appl ied Mathemat ics Program of the Office of Energy Research. U.S. Department of Energy, and the Engineering Energetics Program of the National Science Foundation.
PY - 1985/9/1
Y1 - 1985/9/1
N2 - A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.
AB - A model is derived from the full equations governing combustion. in which a flame, located near a flameholder, is viewed as a three-dimensional surface of discontinuity in the flow field. Jump conditions for the fluid variables, as well as an expression for the flame speed, are obtained from an asymjtlotic analysis of the detailed structure of the flame. The model is applied to investigate the linear stability of steady plane flames in the presence of heat loss to the flame-holder. Stable flames exist only if the inflow velocity is sufficiently lower than the adiabatic flame speed, and then only in a certain regime of the parameters: Lewis number, heat release, and heat loss.
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U2 - 10.1080/00102208508947009
DO - 10.1080/00102208508947009
M3 - Article
AN - SCOPUS:84948239461
SN - 0010-2202
VL - 43
SP - 271
EP - 286
JO - Combustion science and technology
JF - Combustion science and technology
IS - 5-6
ER -