高温球床壁面区域有效导热系数模型优化

Optimization of Wall-region Effective Thermal Conductivity Model for High Temperature Pebble Bed

  • 摘要: 有效导热系数用来表征高温气冷球床堆堆芯综合传热能力,提高球床有效导热系数的预测精度对于高温气冷球床堆的热工设计和安全分析十分重要。为了优化球床壁面区域有效导热系数模型,本文针对无序石墨球床有效导热系数开展数值研究,分析了无序堆积球床主体区域、近壁面区域以及壁面区域有效导热系数的分布特性。结果表明:壁面区域有效导热系数相对于主体区域和近壁面区域显著降低,其平均降幅约为22%。因此引入了修正系数Cw对ZBS模型在壁面区域进行优化,对于球床主体区域及近壁面区域修正系数Cw=1,对于壁面区域,修正系数Cw=0.78。通过与前期无序球床实验数据和南非HTTU实验数据的对比,验证了优化后的ZBS模型能较好地预测球床壁面区域有效导热系数。

     

    Abstract: The pebble bed effective thermal conductivity represents the overall heat transfer capability of the high temperature pebble bed reactor. Improving the precision of the effective thermal conductivity model is very important to the thermal design and safety analysis of the high temperature pebble bed reactor. In order to optimize the effective thermal conductivity model of the pebble bed near the wall region, the three-dimensional and steady heat transfers combining the conduction and radiation in the random pebble beds were numerically solved. The random packing pebble bed was generated based on the discrete element method. The porosity distribution, the coordination number and the contact angle of the random pebble bed were varified by the correlations. The surface-to-surface radiation model was adopted to calculate the radiation heat transfer in the pebble bed. The spatial distribution of local effective thermal conductivity was carefully analyzed. Based on the effective thermal conductivity distributions, the largest gradient occurs at the wall region within a distance about 1dp away from the wall, becasue the local solid fraction in the wall region varies rapidly. The bulk region can be defined in the range of 4dp-11dp, in which the local effective thermal conductivities varies mainly due to the temperature. It was found that the wall-region effective thermal conductivity is significantly lower by about 22% than the effective thermal conductivity in the bulk region and the near-wall region. The reason is that the local solid fraction is low, which would weaken the conduction heat transfer as well as the radiation heat transfer. The previous improved ZBS model has a good prediction ability in the bulk region and the near wall region of the pebble bed, but needs to be further improved in the wall region. Therefore, the correction coefficient Cw is introduced to the previous improved ZBS model to better predict the effective thermal conductivity in the wall region. The correction coefficient Cw=1 for the bulk region and the near-wall region, and Cw=0.78 for the wall region. Compared with the previous experimental data and the HTTU experimental data, the optimized ZBS model is proved to be capable to predict the effective thermal conductivity in the wall region. It is to note that the correction model is suitable for the conditions when the temperature is below 1 600 K. The results in this paper could provide theoretical guide for the thermal design and safety analysis of the high temperature pebble bed reactor.

     

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