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Modélisation au second ordre des transferts thermiques turbulents pour tous types de conditions aux limites thermiques à la paroi

Abstract : Advanced modeling of turbulent heat transfer for all thermal boundary conditions is propo- sed. This work was motivated by two facts : first, the thermal turbulent models used inmost of the industrial computations are based on eddy-viscosity models which cannot deal with complex physics such as natural convection or heat transfer in the near-wall region. Then, the thermal boundary condition at the wall (imposed temperature, imposed heat flux, conjugate heat transfer) influences the near-wall behavior of the turbulent thermal variables. The formulation of the low-Reynolds number second moment closure EBDFM (Elliptic Blen- ding Differential Flux Model), which was originally developed for an imposed temperature at the wall, has been extended to an imposed heat flux and a conjugate heat transfer condition. This new formulation is based on rigorous asymptotic analysis of the terms of the transport equation of the turbulent heat flux for all thermal boundary conditions. One of the key ele- ments is the thermal-to-mechanical time-scale ratio R. Its asymptotic behavior highly depends on the thermal boundary condition : R goes to the Prandtl number at the wall for an imposed temperature and tends to infinity otherwise. Thus, solving a transport equation for the tempe- rature variance and for its dissipation rate is necessary to reproduce the asymptotic behavior of R. Indeed, these two variables drive the behavior of in the near-wall region. Therefore, low-Reynolds number models for the temperature variance and its dissipation rate, valid for all thermal boundary conditions, are proposed. The new formulation of the EBDFM and the models for the temperature variance and its dissipation rate have been validated by performing Code_Saturne computations of channel flows in the forced convection regime.
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Submitted on : Wednesday, September 2, 2020 - 11:58:10 AM
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Gaëtan Mangeon. Modélisation au second ordre des transferts thermiques turbulents pour tous types de conditions aux limites thermiques à la paroi. Mécanique des fluides [physics.class-ph]. Université de Pau et des Pays de l'Adour, 2020. Français. ⟨tel-02923253⟩

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