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Unifying the near-wall treatment of the turbulent heat fluxes for all kinds of temperature boundary conditions with the Elliptic Blending approach

DOI: 10.1615/THMT-18.370
pages 387-398

G. Mangeon
EDF R&D, MFEE Dept., 06 quai Watier, 78400 Chatou, France; CNRS / Univ Pau & Pays Adour / E2S UPPA, Laboratoire de mathematiques et de leurs applications de Pau - Federation IPRA, UMR5142, 64000, Pau, France; Inria Bordeaux-Sud-Ouest, project-team CAGIRE

Sofiane Benhamadouche
Fluids Mechanics Energy and Environment Dept., EDF R&D, France

JF. Wald
EDF R&D, MFEE Dept., 06 quai Watier, 78400 Chatou, France

Remi Manceau
Institute Pprime, Dept. Fluid flow, heat transfer and combustion, CNRS-Univ. of Poitiers-ENSMA, France; Lab. de mathematiques et de leurs applications (LMA) CNRS-Universite de Pau et des pays de I'Adour IPRA, avenue de I'universite 64013 Pau, France; Inria Bordeaux-Sud-Ouest, project-team CAGIRE


New formulations of the near-wall scrambling and dissipation terms are proposed for modeling the turbulent heat-fluxes, in order to extend the Elliptic Blending approaches of Dehoux et al. [1, 2] to all possible boundary conditions for the temperature: imposed wall-temperature, imposed heat flux or conjugate heat transfer. The new model satisfies the near-wall budget and, consequently, the asymptotic behavior of the turbulent heat fluxes. A priori comparisons with the recent DNS data of Flageul et al. [4, 5] are very encouraging. A posteriori tests on a forced convection flow are carried out in order to validate the new formulation.

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