Budgets of Turbulent Kinetic Energy in heated and cold rectangular jets

This work presents the budgets of turbulent kinetic energy in rectangular supersonic jets for heated and cold conditions. The analysis is based on high fidelity Large Eddy Simulations where the subgrid scale turbulence is modeled using Wall-Adapting Local Eddy Viscosity model. The jet nearfield results are validated with PIV data from the literature and are in good agreement. The budgets are calculated in the entirety of the computational domain and reveal anisotropy in turbulence statistics. It is shown that production and dilatation terms are the significant contributors to the local TKE gain and loss respectively. Other mechanisms responsible for the TKE transport are also explained and account for the diffusion and dissipation. Among the factors contributing to diffusion, velocity fluctuations play a significant role followed by pressure-velocity fluctuations and molecular transport. Contributions from subgrid scale activity are also presented. The TKE asymmetry in rectangular jets is explained by directly computing all terms in budget equation through this work.