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Thermal Heat Flux Analysis at the wall of a mixing tee

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.1760
pages 1724-1731

Richard J. A. Howard
Dept Fluid Mechanics, Energy and Environment, EDF R&D, Chatou, France

Jean-Marc Ndombo
EDF R&D, Fluid Mechanics, Energy and Environment, 6 Quai Watier, Chatou 78401, France

Stephane Gervais
EDF SEPTEN, Service for Thermal and Nuclear Studies and Projects, 12-14, avenue Dutrievoz, 69628 Villeurbanne cedex, France

Eric Serre
Aix-Marseille Universite, CNRS, Ecole Centrale Marseille, Laboratoire M2P2, Marseille, France

Abstract

Ogura et al. [8] proposed a method to obtain the heat transfer coefficient between a solid and a fluid from a single time trace of the temperature in the solid combined with a single time trace of the temperature in the fluid. The method combines the power spectral density (PSD) of the two signals to calculate the heat transfer coefficient for different frequencies. This can then be used to evaluate the thermal flux. In this paper, large eddy simulation (LES) of the thermal mixing in the fluid coupled with numerical simulation of the heat transfer in the solid is used to provide the solid and fluid time traces. Since the thermal flux between the solid and the fluid is already explicitly calculated in the computation fluid dynamics (CFD) simulations, it can be used to check the validity of the power density spectral method of Ogura et al. [8]. The results show close agreement although the frequency range of the method is somewhat limited. Differences at low frequencies below 0.4 Hz are primarily due to the lack a sufficiently large statistical sample. At higher frequencies the solid signal is attenuated by the depth of the thermocouple in the solid. For example at a depth of 0.35 mm the highest frequency that is captured to within 15%, is about 6 Hz, at 1.28 mm it is about 1.5 Hz and at 2.13 mm it is about 1 Hz.

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