There have been many studies of turbulent combustion flows, however th
e interaction between turbulent motion and the chemical reactions that
occur in hypersonic hows has not been studied. Ln these flows, the ra
te of product formation depends almost exclusively on the temperature,
and small temperature fluctuations may produce large changes in the r
ate of product formation. To study this process, we perform direct num
erical simulations of reacting isotropic turbulence decay under condit
ions typical of a hypersonic turbulent boundary layer flow. We find th
at there is a positive feedback between the turbulence and exothermic
reactions. That is, positive temperature fluctuations increase the rea
ction rate, thereby increasing the heat released by the reaction, whic
h further increases the temperature. Simultaneously, the pressure incr
eases causing localized expansions and compressions that feed the turb
ulent kinetic energy. The Reynolds stress budget shows that the feedba
ck occurs through the pressure-strain term. We also find that the stre
ngth of the feedback depends on how much heat is released, the rate at
which it is released, and the turbulent Mach number. The feedback pro
cess is negative for endothermic reactions, and temperature fluctuatio
ns are damped. (C) 1998 American Institute of Physics.