Scaling for flamelet calculation of turbulent supersonic combustion

The aim of this work is to develop a numerical procedure for dual-mode scramjet combustion. This invariably suggests the flamelet procedure, which has been used extensively in low-speed applications, as an affordable turbulence-combustion interaction model that obviates the need to solve the evolution equations for the turbulent fields of the mass fractions of species. The simplifications leading to the flamelet models come with a few, but potentially significant, limitations. The one we address in this work pertains to the pressure field in the real flow, vis-à-vis, the pressure field used in generating the look-up table. Because of the disconnect between these two fields, we seek to determine the required modifications of the canonical solutions. To this end, we investigate the reaction ratepressure scaling relationships associated with some familiar reactive systems.