Numerical investigation of chemical reaction-turbulence interaction in compressible shear layers

Calculations of mixing of hydrogen and vitiated supersonic airstream with and without chemical reactions are presented. The Favre-averaged compressible flow equations and convection-diffusion equations for the chemical species are solved by a finite volume method that incorporates an incremental pressure equation for the conservation of mass. The chemical reactions are described by 9 chemical species and 24 pairs of reaction-steps. The turbulence field is described by multiple-time-scale turbulence equations. The calculated ignition delay and species concentrations obtained using the multiple-time-scale turbulence equations are in closer agreement with the measured data than those obtained using a probability density function method and k−ϵ turbulence models. It is shown that the multiple-time-scale turbulence equations successfully predict the increased shear layer thickness caused by the chemical reaction-turbulence interaction.