DNS of turbulent channel flow with conjugate heat transfer: Effect of thermal boundary conditions on the second moments and budgets |
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| Institution: | 1. EDF R&D, Fluid Mechanics, Energy and Environment Dept., 6 Quai Wattier, 78401 Chatou, France;2. 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;3. School of Mechanical, Aerospace and Civil Engineering, The University of Manchester, Sackville Street, Manchester M13 9PL, UK;1. Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139, USA;2. ASCOMP GmbH, Zurich, Switzerland;1. ETS de Ingeniería del Diseño, Universitat Politècnica de València, València 46022, Spain;2. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, València 46022, Spain;1. Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma “La Sapienza”, Via Eudossiana 16, Roma, Italy;2. Dept. Mechanical Engineering, The University of Texas at Dallas, USA;1. Université de Lyon, CNRS, LaMCoS, INSA Lyon, UMR 5259, F-69621 Villeurbanne Cedex, France;2. Turbomeca (Safran Group), BP17, 64 511 Bordes Cedex, France;3. ONERA, The French Aerospace Lab, DMFN, 29 Avenue de la Division Leclerc, 92 322 Châtillon Cedex, France |
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| Abstract: | Budgets of turbulent heat fluxes and temperature variance obtained from the Direct Numerical Simulation of an incompressible periodic channel flow with a Reynolds number of 150 (based on friction velocity) and a Prandtl number of 0.71 are presented and analysed for four cases: locally imposed temperature at the wall (constant Dirichlet), locally imposed heat flux (constant Neumann), heat exchange coefficient (Robin) and 3D conjugate heat transfer. The dissipation rate associated with the temperature variance is strongly impacted by the thermal boundary condition. For non-conjugate cases, a straightforward analytical analysis establishes the connection between the boundary condition, the temperature variance and the wall-normal part of the thermal dissipation rate at the wall. For the conjugate case, the two-point correlations of the thermal field in the solid domain confirms the existence of very large scale thermal structures. |
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| Keywords: | Direct Numerical Simulation Channel flow Robin boundary condition Conjugate heat transfer Second-moment closures Budgets |
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