On the discontinuity of the dissipation rate associated with the temperature variance at the fluid-solid interface for cases with conjugate heat transfer

Cédric Flageul (1, 2) , Sofiane Benhamadouche (1) , Eric Lamballais (3) , Dominique Laurence (4, 1)

1 EDF R&D MFEE - Mécanique des Fluides, Energies et Environnement
2 IJS - Jozef Stefan Institute [Ljubljana]
3 PPrime [Poitiers] - Institut Pprime [UPR 3346]
4 MACE - School of Mechanical Aerospace and Civil Engineering [Manchester]

In the case of conjugate heat transfer, the dissipation rate associated with the temperature variance is discontinuous at the fluid-solid interface. The discon-tinuity satisfies a compatibility condition involving the fluid-solid thermal dif-fusivity and conductivity ratios and the relative contribution to the dissipation rate of its wall-normal part. The present analysis is supported by the Direct Numerical Simulations of an incompressible channel flow at a Reynolds number , based on the friction velocity, of 150, a Prandtl number of 0.71 and several values of fluid-solid thermal diffusivity and conductivity ratios.

Mots clés: RANS; Dissipation rate; Conjugate heat transfer; Direct Numerical Simulation; Turbulent channel flow

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

Cédric Flageul, Sofiane Benhamadouche, Eric Lamballais, Dominique Laurence. On the discontinuity of the dissipation rate associated with the temperature variance at the fluid-solid interface for cases with conjugate heat transfer. International Journal of Heat and Mass Transfer, 2017, 111, pp.321 - 328. ⟨10.1016/j.ijheatmasstransfer.2017.04.005⟩. ⟨hal-01504590⟩