The response of a premixed flame in stagnation-point flow with an impo
sed oscillating strain rate;has been examined. This configuration is o
f fundamental interest and has potential application to turbulent comb
ustion modelling. Of interest are flames which stand well clear of the
front stagnation point of a bluff body. Under these conditions the fl
ame can be treated as a surface of density discontinuity. A detailed s
olution is constructed in the burned and unburned gas regions and incl
udes the flame response to the imposed fluctuations as well as the res
ulting displacement of the incident flow. Our analysis accounts for th
e full coupling between the flame and the underlying flow field and, u
nlike most previous studies, is not restricted to small-amplitude osci
llations.