A scaling law is proposed that gives the steady-state turbulent flame
velocity in the regime where the flame is thin compared with the large
st scale of the turbulence, diffusion effects are small compared to th
e fluid dynamics effects, and the turbulence is driven by the Rayleigh
-Taylor instability in a gravitational field. This is the regime where
the fluid dynamic effects dominate diffusion. These conditions exist
in premixed hydrocarbon flames approaching the flammability limits and
astrophysical objects, such as supernovae. It is proposed that labora
tory combustion experiments could be used to calibrate the turbulence
model for supernova explosions.