Development of a wall model for chemically-reacting turbulent hypersonic boundary layers

The numerical prediction of aerodynamic drag and heat transfer on high-Mach flight vehicles poses a significant computational challenge owing to the presence of multi-scale flow features such as turbulence, shock waves, and activation of thermochemical processes. To that end, the development of wall models capable of representing the correct reacting boundary layer dynamics at a reduced computational cost is crucial. The current work presents and evaluates a generalization of the wall model of [Griffin et al., JFM, 2023] (GFM model), accounting for finite-rate chemistry and multicomponent diffusion in reacting hypersonic boundary layers. The formulation is then evaluated a priori with direct numerical simulations of chemically-reacting turbulent boundary layers at Mach numbers of 7 and 10, comparing the predictions of velocity, temperature and mass fraction profiles, as well as the wall shear stress τ_w and heat flux q_w. Preliminary analysis demonstrates significant improvements relative to the classical equilibrium wall model when applied to compressible wall-bounded flows with strong wall-cooling.