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Prandtl number Effect on Turbulence Quantities through High Spatial Resolution DNS of Turbulent Heat Transfer in a Channel Flow

DOI: 10.1615/ICHMT.2006.TurbulHeatMassTransf.560
pages 301-304

Yohji Seki
Department of Mechanical Engineering, Tokyo University of Science, 2641 Yamazaki, Noda-shi, Chiba 278-8510, Japan

Kaoru Iwamoto
Department of Mechanical Engineering, Tokyo University of Science, Noda-shi, Chiba 278-8510; Department of Mechanical System Engineering, Tokyo University of Agriculture and Technology, 2-24-16 Nakacho, Koganei, Tokyo 184-8588, Japan

Hiroshi Kawamura
Department of Mechanical Engineering Faculty of Science and Technology Science University of Tokyo Noda-shi, Chiba 278 Japan


Direct numerical simulation (DNS, hereafter) of turbulent heat transfer in a channel flow through high spatial resolution has been carried out for a Reynolds number of 180, which is based on the friction velocity and the channel half width. The thermal boundary condition is uniform heat flux heating from both the walls. The molecular Prandtl numbers are set to be 0.71, 1.0, 2.0 and 10.0. The Prandtl number effect on the turbulence quantities such as the mean temperature, the time scale ratio, the skewness and flatness factors of temperature derivatives and the turbulent Prandtl number are examined. Moreover, the one-dimensional pre-multiplied energy spectrum of temperature fluctuations at large wavenumbers is investigated.

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