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On the establishment of a logarithmic mean temperature profile in fully developed turbulent pipe flow with constant surface heat flux

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.2450
pages 2377-2388

S. Saha
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia

Joseph C. Klewicki
Department of Mechanical Engineering University of New Hampshire, Kingsbury Hall, W101, 33 Academic Way Durham, New Hampshire 03824, USA; Department of Mechanical Engineering University of Melbourne Melbourne, VIC 3010, Australia

A.S.H. Ooi
Department of Mechanical Engineering, University of Melbourne, Victoria 3010, Australia

Hugh Blackburn
Department of Mechanical and Aerospace Engineering, Monash University, Victoria 3800, Australia


Direct Numerical Simulations (DNS) of turbulent heat transfer in a pipe have been computed over the range of Prandtl number, 0.2 ≤ Pr ≤ 7.0, at fixed Karman number, Reτ = 180. These data sets are used to explore the similarity structure affiliated with the mechanisms that underlie the establishment of the mean temperature profile for fully developed turbulent transport through a pipe subjected to a constant surface heat flux. The analysis, which follows the framework developed by Wei et al. (2005a), employs multiscale analysis of the Reynolds-averaged energy equation to develop a basis for understanding how the characteristics of the relevant transport terms develop self-similar relationships characteristic at high Peclet number, Peτ = PrReτ.

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