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

## Abstract

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.

## Keywords

Large eddy simulation Conjugate heat transfer Dissipation rate RANS## Notes

### Acknowledgements

This work was financially supported by the research project of the Slovenian Research Agency P2-0026 and by the EDF-JSI collaboration, project PR-07184.

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