TY - JOUR
T1 - FLAME PROPAGATION WITH A SEQUENTIAL REACTION MECHANISM.
AU - Margolis, Stephen B.
AU - Matkowsky, Bernard J.
PY - 1982/1/1
Y1 - 1982/1/1
N2 - The steady propagation of a flame through a premixed combustible mixture is studied for the case in which the flame is characterized by the production and depletion of a significant intermediate species. The overall chemical reaction mechanism is of the sequential type. The method of matched asymptotic expansions is used to derive a solution for large activation energies, in which case both chemical reactions are confined to a thin layer. The (small) separation distance H between the points where the two reactions go to completion and the propagation velocity U play the role of eigenvalues and are determined as functions of standard flame parameters. The formula for H also represents the effective spatial distance between production and depletion of the intermediate species and is thus a measure of the flame thickness.
AB - The steady propagation of a flame through a premixed combustible mixture is studied for the case in which the flame is characterized by the production and depletion of a significant intermediate species. The overall chemical reaction mechanism is of the sequential type. The method of matched asymptotic expansions is used to derive a solution for large activation energies, in which case both chemical reactions are confined to a thin layer. The (small) separation distance H between the points where the two reactions go to completion and the propagation velocity U play the role of eigenvalues and are determined as functions of standard flame parameters. The formula for H also represents the effective spatial distance between production and depletion of the intermediate species and is thus a measure of the flame thickness.
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M3 - Article
AN - SCOPUS:0020272414
SN - 0036-1399
VL - 42
SP - 1175
EP - 1194
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
IS - 6
ER -