The linear temporal stability of a diffusion flame, modeled with a simplifi
ed one-dimensional approach, in a two-dimensional mixing layer is investiga
ted. In addition to the well-known "shear" or Kelvin-Helmholtz mode, which
is also present in nonreacting flows, the current analysis reveals new "hea
t release" or combustion modes for flames near the extinction limit, i.e.,
when the Damkohler number is low. For conditions near extinction, the shear
mode is found to be damped and only the combustion modes are unstable. The
fundamental destabilizing mechanism of these combustion modes is elucidate
d. (C) 1999 American Institute of Physics. [S1070-6631(99)01910-8].