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Research Papers: Radiative Heat Transfer

Modeling Effective Thermal Conductivity of Thermal Radiation for Nuclear Packed Pebble Beds

[+] Author and Article Information
Hao Wu

Institute of Nuclear and New Energy Technology,
Collaborative Innovation Center of
Advanced Nuclear Energy Technology,
Key Laboratory of Advanced Reactor
Engineering and Safety,
Ministry of Education,
Tsinghua University,
Beijing 100084, China;
School of Engineering,
RMIT University,
Melbourne, VIC 3083, Australia

Nan Gui, Xingtuan Yang, Shengyao Jiang

Institute of Nuclear and New Energy Technology,
Collaborative Innovation Center of
Advanced Nuclear Energy Technology,
Key Laboratory of Advanced Reactor
Engineering and Safety,
Ministry of Education,
Tsinghua University,
Beijing 100084, China

Jiyuan Tu

Institute of Nuclear and New Energy Technology,
Collaborative Innovation Center of
Advanced Nuclear Energy Technology,
Key Laboratory of Advanced Reactor
Engineering and Safety,
Ministry of Education,
Tsinghua University,
Beijing 100084, China;
School of Engineering,
RMIT University,
Melbourne, VIC 3083, Australia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received April 3, 2017; final manuscript received August 22, 2017; published online December 27, 2017. Assoc. Editor: Laurent Pilon.

J. Heat Transfer 140(4), 042701 (Dec 27, 2017) (6 pages) Paper No: HT-17-1184; doi: 10.1115/1.4038231 History: Received April 03, 2017; Revised August 22, 2017

In nuclear packed pebble beds, it is a fundamental task to model effective thermal conductivity (ETC) of thermal radiation. Based on the effective heat transfer cells of structured packing, a short-range radiation model (SRM) and a subcell radiation model (SCM) are applied to obtain analytical results of ETC. It is shown that the SRM of present effective heat transfer cells are in good agreement with the numerical simulations of random packing and it is only slightly higher than empirical correlations when temperature exceeds 1200 °C. In order to develop a generic theoretical approach of modeling ETC, the subcell radiation model is presented and in good agreement with Kunii–Smith correlation, especially at very high temperature ranges (over 1500 °C). Based on SCM, one-dimensional (1D) radial heat transfer model is applied in the analysis of the HTTU experiments. The results of ETC and radial temperature distribution are in good agreement with the experimental data.

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Figures

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Fig. 1

Voronoi cells of structured packing: (a) SC, (b) BCC, and (c) FCC

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Fig. 2

Cell-to-particle area ratio of different packings

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Fig. 3

Effective thermal conductivity for particle radiation of short-range radiation model and empirical correlations

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Fig. 4

Subcell of the particle and the Voronoi cells (a) and the face–face thermal radiation (b)

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Fig. 5

Thermal resistances of the face–face radiation of the subcells

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Fig. 6

The mesh to calculate the view factor of the parts of sphere

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Fig. 7

Effective thermal conductivity for particle radiation of SCM, SRM and empirical correlations: (a) α = 0.39 and (b) α = 0.44

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Fig. 8

Total effective thermal conductivity (a) and radial temperature distribution (b) of the packed pebble bed

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