Refined database by DNS for turbulence effects on near-wall heat transfer

This study focuses on the turbulent heat transfer in the turbulent channel flow configuration. Our Direct Numerical Simulations are performed using the open-source code Incompact3d. As our target is to produce data for RANS models validation, the budgets of the turbulent heat fluxes and of the temperature variance are extracted. Two-point correlations for the temperature and wall-normal heat flux are also presented to deepen our analysis. Regarding the thermal field, 2 configurations are considered: with and without conjugate heat transfer (thermal coupling between the fluid and solid domains). For conjugate heat transfer cases, a novel compatibility condition, expressed in the spectral space, connects the temperature and wall-normal heat flux at the fluid-solid interface. For non-conjugate cases, our study is limited to boundary conditions that impose a linear combination of the temperature and wall-normal heat flux at the wall using constant coefficients (Dirichlet, Neumann, Robin). For such simple boundary conditions, a novel compatibility condition is obtained which connects the wall-value of the temperature variance and the wall-normal part of the associated dissipation rate. On one hand, this condition highlights the limitations of an imposed temperature or heat-flux at the wall. On the other, it allows us to build tailored Robin boundary conditions able to reproduce satisfactorily present conjugate heat-transfer results in the channel flow configuration. (author)