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DNS of turbulent channel flow: can we imitate conjugate heat-transfer with a Robin boundary condition?

C. Flageul
EDF R&D, Fluid mechanics, Energy and Environment, 78401 Chatou, France; Reactor Engineering Division, Institut Jozef Stefan, Slovenia

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

Eric Lamballais
Institute PPRIME, Department of Fluid Flow, Heat Transfer and Combustion, Université de Poitiers, CNRS, ENSMA, Téléport 2 – Bd. Marie et Pierre Curie B.P. 30179, 86962 Futuroscope Chasseneuil Cedex, France

Dominique R. Laurence
Modelling and Simulation Centre, School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Manchester M13 9PL, UK; EDF R&D, Fluid mechanics, Energy and Environment, 78401 Chatou, France


Turbulent heat fluxes, temperature variance and associated budgets obtained from the Direct Numerical Simulation of an incompressible turbulent channel flow with a Reynolds number of 150, based on the wall friction velocity, and a Prandtl number of 0.71 are presented and analysed for four cases : imposed temperature at the wall (Dirichlet), imposed heat flux (Neumann), heat exchange coefficient (Robin) and 3D conjugate heat transfer. Present results show that a Robin boundary condition can imitate most of the one point statistics obtained with conjugate heat-transfer accurately compared to the statistics obtained with an imposed temperature or heat flux at the wall.

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