We examine the attachment of diffusion flames (DFs) near cold, chemically i
nert surfaces. A two-dimensional model based on the examination of the diff
usion flame leading edge is constructed. Two matching procedures give separ
ate models, the simplified model and the detailed model. A quench-distance
formula is produced by the simplified model, which correlates the numerical
results in terms of the reduced Damkohler number. The detailed model predi
cts quench distances in good agreement with numerical solutions for the sto
ichiometrics chosen herein. Heat fluxes to the cold adjacent surface from t
he flame tip are evaluated from the model. A formula is derived which predi
cts the flame heat flux to the surface beneath the flame leading edge. The
final form of this formula contains a coefficient function of stoichiometry
, which was derived by matching the theoretical and numerical predictions.
(C) 1999 by The Combustion Institute.