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基于OpenFOAM的液态铅铋冷却光滑19棒束湍流普朗特数模型敏感性研究

Sensitivity Study of Turbulent Prandtl Number Model for Lead-Bismuth Eutectic Cooled Bare 19-Rod Bundle Based on OpenFOAM

  • 摘要: 液态铅铋(LBE)具有较低的普朗特数( Pr )物性特征,导致计算流体力学(CFD)模拟中常用的恒定湍流普朗特数( Pr_\mathrmt )模型会影响其传热计算的准确性。为提高LBE的数值传热精度,国内外的学者构建了多个液态金属 Pr_\mathrmt 模型。为评估常用液态金属 Pr_\mathrmt 模型在快堆常见三角形排列棒束中的适用性,本工作首先基于开源计算流体力学软件OpenFOAM的稳态传热求解器buoyantSimpleFoam,添加多个液态金属 Pr_\mathrmt 模型。然后针对 Pr 分别为0.01与0.025时的常物性LBE在光滑19棒束内部的充分发展湍流换热过程进行了数值研究,并将努塞尔数( Nu )结果与Mikityuk等Nucl Eng Des, 2009, 239(4): 680提出的三角形棒束换热关系式进行了对比分析。结果表明:当采用 \mathrmS\mathrmS\mathrmTk-\omega 湍流模型时,Aoki等Bull Tokyo Inst Tech, 1963, 54:63基于全局流动参数建立的 Pr_\mathrmt 模型以及Kays等ASME Journal of Heat Transfer, 1994, 116: 284基于局部湍流参数建立的 Pr_\mathrmt 模型计算得到的 Nu 结果与Mikityuk关系式吻合较好;而 Pr_\mathrmt=0.85 模型引起的各项误差均较大,在工程计算中应谨慎使用;LBE的分子热传导作用对温度场及热通量场的影响较大,使用合适的 Pr_\mathrmt 模型可以改进其CFD传热计算的准确性。

     

    Abstract: Liquid lead-bismuth eutectic (LBE) has a low Prandtl number ( Pr ), leading to inaccuracies in heat transfer calculations when using the constant turbulent Prandtl number ( Pr_\mathrmt ) model, which is commonly employed in computational fluid dynamics (CFD) simulations. To improve the numerical accuracy of heat transfer calculations for LBE, researchers both domestically and internationally have developed several Pr_\mathrmt models for liquid metals. To assess the applicability of these liquid metal Pr_\mathrmt models in the commonly used triangular arrangement of fast reactor rod bundles, this study incorporates multiple liquid metal Pr_\mathrmt models into the steady-state heat transfer solver buoyantSimpleFoam from the open-source CFD software OpenFOAM. A numerical study was then conducted on the fully developed turbulent heat transfer process within a smooth 19-rod bundle for Prandtl numbers of 0.01 and 0.025, and the resulting Nusselt number ( Nu ) was compared to the heat transfer correlation for triangular rod bundles proposed by Mikityuk et al.Nucl Eng Des, 2009, 239(4): 680. The results show that when using the \mathrmS\mathrmS\mathrmTk-\omega turbulence model, the Nu results calculated using the Pr_\mathrmt model developed by Aoki et al.Bull Tokyo Inst Tech, 1963, 54:63, based on global flow parameters, and the Pr_\mathrmt model constructed by Kays et al.ASME Journal of Heat Transfer, 1994, 116: 284, based on local turbulence parameters, demonstrate good agreement with the Mikityuk correlation. In contrast, the Pr_\mathrmt = 0.85 model produced significant errors and should be applied with caution in engineering calculations. Additionally, molecular heat conduction in LBE has a substantial impact on the temperature and heat flux fields, and the use of an appropriate Pr_\mathrmt model can improve the accuracy of CFD heat transfer simulations.

     

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