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

  • Cédric FlageulEmail author
  • Iztok Tiselj
  • Sofiane Benhamadouche
  • Martin Ferrand


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.


Large eddy simulation Conjugate heat transfer Dissipation rate RANS 



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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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institut Jožef StefanReactor Engineering DivisionLjubljanaSlovenia
  2. 2.EDF R&D, Fluid MechanicsEnergy and Environment DepartmentParisFrance

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