A Correlation for the Discontinuity of the Temperature Variance Dissipation Rate at the Fluid-Solid Interface in Turbulent Channel Flows

Cédric Flageul (1) , Iztok Tiselj (1) , Sofiane Benhamadouche (2) , Martin Ferrand (2)

1 IJS - Jozef Stefan Institute [Ljubljana]
2 EDF R&D MFEE - Mécanique des Fluides, Energies et Environnement

Discontinuity of the dissipation rate associated with the temperature variance at the fluid-solid interface is analyzed in a turbulent channel flow at a Reynolds number, based on the friction velocity of 395 and a Prandtl number of 0.71. The analysis is performed with a wall-resolved Large Eddy Simulation and the results are used to derive a regression for the dissipation rate discontinuity, which depends only on the fluid-solid thermal diffusivity and conductivity ratios. Wall-resolved Large Eddy Simulations at a higher Reynolds number and a higher Prandtl number are used to investigate the validity of two correlations derived from the regression for the selected thermal properties ratios. The present results are obtained with the open-source Computational Fluid Dynamics solver Code Saturne, and use the fully conservative fluid-solid thermal coupling capability introduced by the authors in version 5.0.

Domaines: Mécanique des fluides [physics.class-ph]

Cédric Flageul, Iztok Tiselj, Sofiane Benhamadouche, Martin Ferrand. A Correlation for the Discontinuity of the Temperature Variance Dissipation Rate at the Fluid-Solid Interface in Turbulent Channel Flows. Flow, Turbulence and Combustion, 2019, ⟨10.1007/s10494-019-00008-0⟩. ⟨hal-01995617⟩