Physics Based Modeling of Turbulent Heat Flux in Shock Dominated Flows

Interaction of a purely vortical isotropic turbulence with a normal shock wave is considered for analysis. Theoretical tool called Linear Inviscid Analysis (LIA) is used for studying this canonical shock turbulence problem. RuT which represents the normalized turbulent heat flux, is studied in the region downstream of the shock for a range of upstream Mach numbers. DNS data available from literature for similar configuration is used as benchmark for comparison. Effect of Mt and Reλ on generation and evolution of RuT is studied from DNS data and compared with LIA results. Finally, the effect of upstream energy spectrum shape on prediction of RuT is analyzed.