Statistical analysis of instantaneous turbulent heat transfer in circular pipe flows

被引:0
作者
Ehsan Tavakoli
Reza Hosseini
Miltiadis Papalexandris
Bamdad Lessani
机构
[1] Amirkabir University of Technology,Mechanical Engineering Department
[2] Université Catholique de Louvain,Institute of Mechanics, Material and Civil Engineering
[3] University of Toronto,Mechanical and Industrial Engineering Department
来源
Heat and Mass Transfer | 2014年 / 50卷
关键词
Probability Density Function; Nusselt Number; Prandtl Number; Large Eddy Simulation; Direct Numerical Simulation;
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学科分类号
摘要
Turbulent heat transfer in circular pipe flow with constant heat flux on the wall is investigated numerically via Large Eddy Simulations for frictional Reynolds number Reτ = 180 and for Prandtl numbers in the range 0.1 ≤ Pr ≤ 1.0. In our simulations we employ a second-order finite difference scheme, combined with a projection method for the pressure, on a collocated grid in cylindrical coordinates. The predicted statistical properties of the velocity and temperature fields show good agreement with available data from direct numerical simulations. Further, we study the local thermal flow structures for different Prandtl numbers. As expected, our simulations predict that by reducing the Prandtl number, the range of variations in the local heat transfer and the Nusselt number decrease. Moreover, the thermal flow structures smear in the flow and become larger in size with less sharpness, especially in the vicinity of the wall. In order to characterize the local instantaneous heat transfer, probability density functions (PDFs) for the instantaneous Nusselt number are derived for different Prandtl number. Also, it is shown that these PDFs are actually scaled by the square root of the Prandtl number, so that a single PDF can be employed for all Prandtl numbers. The curve fits of the PDFs are presented in two forms of log-normal and skewed Gaussian distributions.
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页码:125 / 137
页数:12
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