Numerical Simulation on Flow Heat Transfer Characteristics of Helium-Xenon Mixture in Tight Lattice Rod Bundle Channel
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摘要: 针对氦氙冷却高温气冷堆堆芯设计和分析需求，本研究建立了一套涵盖物性模型、湍流模型与湍流普朗特数模型的氦氙混合气体三维流动传热模型，并基于此模型开展了棒束通道内氦氙混合气体流动传热数值分析，研究几何参数和运行参数对相关特性的影响规律。结果表明：包壳存在会对紧密栅棒束通道内流动传热带来较大的周向非均匀性，在子通道模拟及整体三维数值模拟中均应考虑包壳导热影响；除包壳外，紧密栅棒束通道内氦氙流动传热则主要受栅径比影响，同一工况下栅径比越大，混合气体对流换热越强烈。Abstract: In response to the design and analysis requirements for the core of the helium-xenon cooled high temperature gas cooled reactor, this study has established a comprehensive three-dimensional heat transfer model for helium-xenon mixture. This model encompasses property model, turbulent model, and turbulent Pr model. Utilizing this model as a foundation, numerical analysis of the flow and heat transfer characteristics of helium-xenon mixture in the fuel rod bundle channel has been conducted. This research investigates the influence of geometric parameters and operational parameters on relevant characteristics. The results reveal that the presence of cladding will bring significant circumferential non-uniformity to the flow and heat transfer in the tight lattice rod bundle channel, necessitating consideration of cladding in both subchannel and three-dimensional numerical simulation. In addition to cladding, heat transfer in the tight lattice rod bundle channel is primarily influenced by the rod diameter ratio. Under identical simulation conditions, a larger rod diameter ratio leads to enhanced convective heat transfer of the mixed gas.
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图 1 氦氙混合气体物性对比
Figure 1. Comparison of Physical Properties of Helium and Xenon Mixture
图 2 不同Prt模型壁面温度计算结果对比
Figure 2. Comparison of Wall Temperature Calculation Results under Different Prt Models
图 3 DNS泊肃叶流模拟几何及传热模型
Figure 3. Geometry and Heat Transfer Model of DNS Poiseuille Flow Simulation
图 4 不同Prt模型下无量纲温度分布
Figure 4. Comparison of Dimensionless Temperature Distributions under Different Prt Models
图 5 棒束通道几何及计算域示意图
Figure 5. Schematic Diagram of Rod Bundle Channel Geometry and Computational Domain
图 9 包壳外壁面热流密度分布
Figure 9. Heat Flux Density Distribution on the Outer Wall of Cladding
表 1 现有低Pr流体Prt模型
Table 1. Existing Prt Models of Fluids with Low Pr
模型 关系式 默认 Prt=0.85 Kays[9] $ {Pr _{\text{t}}} = 1\bigg/\left\{ {\dfrac{1}{{2{{Pr }_{{\text{t,}}\infty }}}} + CP{e_t}\sqrt {\dfrac{1}{{{{Pr }_{{\text{t,}}\infty }}}}} - {{\left( {CP{e_{\text{t}}}} \right)}^2} \times \left[ {1 - {\text{exp}}\left( {\dfrac{{ - 1}}{{CP{e_{\text{t}}}\sqrt {{{Pr }_{{\text{t,}}\infty }}} }}} \right)} \right]} \right\}, {Pr _{{\text{t,}}\infty }} = 0.85 $ Weigand[10] $ \begin{gathered}Pr_{\text{t}}=1\bigg/\left\{\dfrac{1}{2Pr_{\text{t,}\infty}}+CPe_{\mathrm{t}}\sqrt{\dfrac{1}{Pr_{\text{t},\infty}}}-\left(CPe_{\text{t}}\right)^2\times\left[1-\text{exp}\left(\dfrac{-1}{CPe_{\text{t}}\sqrt{Pr_{\text{t,}\infty}}}\right)\right]\right\} \\ Pr_{{\mathrm{t}},\infty}=0.85+\dfrac{100}{Pr\cdot Re^{0.888}} \\ \end{gathered} $ Zhou[7] $ \begin{gathered}Pr\mathrm{_t}=1\bigg/\left\{\dfrac{1}{2Pr_{\text{t,}\infty}}+CPe_{\mathrm{t}}\sqrt{\dfrac{1}{Pr_{\text{t},\infty}}}-\left(CPe_{\text{t}}\right)^2\times\left[1-\text{exp}\left(\dfrac{-1}{CPe_{\text{t}}\sqrt{Pr_{\text{t},\infty}}}\right)\right]\right\} \\ Pr_{\text{t,}\infty}=Pr_{\text{t,local}}=0.80+\dfrac{30}{Pr\cdot Re_{\text{local}}^{0.888}},Re_{\text{local}}=\dfrac{\rho_{\text{local}}u_{\text{local}}D}{\mu_{\text{local}}} \\ \end{gathered} $ 注：Pe—贝克莱数；Re—雷诺数；C—第三维里系数；ρ—密度；u—轴向流速；D—水力直径；μ—粘性系数；下标t表示湍流参数，∞表示湍流核心区参数，local表示局部参数 
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表 2 实验工况
Table 2. Experimental Conditions
工况编号 热流密度/(W·m−2) 质量流速/(kg·m−2·s−1) 入口温度/K 出口压力/Pa 摩尔质量M/(g·mol−1) Pr Re Run689 96326 357.1 295.5 480141 83.8 0.25 61987 Run696 136770 156.4 297.9 563474 39.5 0.21 27897
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