The influence of pipe length on thermal statistics computed from DNS of turbulent heat transfer |
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Institution: | 1. Department of Mechanical Engineering, The University of Auckland, Private Bag 92019, Auckland 1142, New Zealand;1. Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria 0002, South Africa;2. Centre for Research in Material Science and Thermal Management, Department of Mechanical Engineering, Karunya University, Coimbatore, India |
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Abstract: | We present results from direct numerical simulation of turbulent heat transfer in pipe flow at a bulk flow Reynolds number of 5000 and Prandtl numbers ranging from 0.025 to 2.0 in order to examine the effect of streamwise pipe length (πδ ≡ πD/2 ⩽ L ⩽ 12πδ) on the convergence of thermal turbulence statistics. Various lower and higher order thermal statistics such as mean temperature, rms of fluctuating temperature, turbulent heat fluxes, two-point auto and cross-correlations, skewness and flatness were computed and it is found that the value of L required for convergence of the statistics depends on the Prandtl number: larger Prandtl numbers requires comparatively shorter pipe length for convergence of most of the thermal statistics. |
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