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An analytical wall-function for recirculating and impinging turbulent heat transfer
Affiliation:1. Oak Ridge National Laboratory (ORNL), One Bethel Valley Road, Oak Ridge, TN, USA;2. International Atomic Energy Agency (IAEA), Vienna, Austria;3. Los Alamos National Laboratory (LANL), MS E540, Los Alamos, NM 87545, USA;1. Fluid Dynamics Laboratory, Department of Applied Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;2. Energy Technology Laboratory, Department of Mechanical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands;3. Commonwealth Scientific and Industrial Research Organisation (CSIRO), Clayton VIC 3169, Australia;4. Swinburne University of Technology, Hawthorn VIC 3122, Australia
Abstract:The performance of the analytical wall-function (AWF) of Craft et al. [Craft, T.J., Gerasimov, A.V., Iacovides, H., Launder, B.E., 2002, Progress in the generalisation of wall-function treatments. Int. J. Heat Fluid Flow 23, 148–160.] is improved for predicting turbulent heat transfer in recirculating and impinging flows. Since constant parameters of the eddy viscosity formula were used to derive the AWF, the prediction accuracy of the original AWF tends to deteriorate in complex flows where those parameters need changing according to the local turbulence. To overcome such shortcomings, the present study introduces a functional behaviour on the strain parameter into the coefficient of the eddy viscosity of the AWF. The presently modified version of the AWF is validated in turbulent heat transfer of pipe flows, channel flows, back-step flows, pipe flows with abrupt expansion and plane impinging slot jets. The results confirm that the present modification successfully improves the performance of the original AWF for all the flows and heat transfer tested.
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