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Paolo Orlandi
Department of Mechanics and Aeronautics, "Sapienza" University of Rome, Via Eudossiana 18, 00184 Rome, Italy

Stefano Leonardi
The University of Texas at Dallas

Giorgio Amati
CASPUR - Via dei Tizii n.6b, Roma Italy


In real applications of heat transfer between two isothermal walls, the constant temperature is applied at the external side of the solid walls, which have a thickness and a thermal conductivity depending on the material used. Usually, in numerical simulations the solid layer is neglected and the constant temperature is assigned at the no-slip boundary. In the present simulations the Navier-Stokes equations together with four transport equations for a passive scalar, which can represent either concentration or temperature, are solved. The evolution of the passive scalars differs only for the conductivity in the solid, while the diffusivity of the fluid is the same. The Reynolds number effect has been investigated by two simulations one at Rτ = 180 and the other at Rτ = 335, where Rτ = uτh/v is the friction velocity Reynolds number. Two point correlations, flow visualizations and probability density function of the thermal field have been evaluated to quantify how deeply the effect of the turbulent flow penetrates inside the solid.