低流速绕丝棒束流动的数值模拟

Numerical Simulation of Flow in Wire-wrapped Rod Bundle at Low Velocity

  • 摘要: 本文用层流模型,耦合γ-Reθ转捩模型的SST k-ω模型(SST-GRT)和带低雷诺数修正的SST k-ω模型(SST-LOWRE),对完成了压力分布测量实验的37棒有机玻璃棒束组件内的流体流动进行了数值模拟计算。结果表明,在棒束雷诺数Reb<830时,层流模型可以精确模拟棒束内流动,Reb=53时,棒束摩擦阻力系数已偏离达西定律超过10%。在Reb>950后,由于棒束内开始出现湍流,用层流模型计算的压力损失和摩擦阻力系数开始明显低于实验结果。SST-LOWRE模型计算结果显示了转捩发生的过程,但其计算的转捩雷诺数 Re_\mathrmbL 高于实际值。SST-GRT模型无法有效激活湍流动能,导致其输运方程退化为分子黏性输运方程。

     

    Abstract: Understanding the complex thermal-hydraulic behaviors in nuclear reactor cores requires precise modeling of flow transition within rod bundle geometries. In this study, numerical simulations were performed to investigate the fluid flow characteristics inside a 37-pin polymethyl methacrylate (PMMA) rod bundle, which was previously employed in physical pressure distribution measurements. Three distinct numerical approaches were evaluated: the laminar flow model, the SST k-ω turbulence model coupled with the γ-Reθ transition model (SST-GRT), and the SST k-ω model with low-Reynolds-number correction (SST-LOWRE). The simulation results indicate that the laminar model can accurately predict the pressure drop within the rod bundle when the bundle Reynolds number ( Re_\textb ) is less than 830. However, a deviation was observed under very low-flow conditions. At Reb=53, the friction factor of the rod bundle deviates from the classic linear Darcy’s law by more than 10%, highlighting the presence of localized, microscopic turbulent flow structures in the tightly packed rod bundle even in a deep laminar state. As the flow velocity increased past Reb>950, turbulence began to develop and dominate the flow. Consequently, the pressure loss and friction factor calculated by the laminar model started to fall significantly below the experimental data, owing to the model’s inability to account for turbulent momentum diffusion and Reynolds stresses. Consequently, the pressure drop and friction factor calculated by the laminar model start to underpredict the experimental data, owing to the inability of the laminar model to account for turbulent momentum diffusion and Reynolds stresses. Furthermore, the transitional performance of the two advanced models was analyzed. The SST-LOWRE model captured the development of the laminar-to-turbulent transition process. However, the predicted critical transition Reynolds number was higher than the experimentally observed value. Most notably, the SST-GRT model failed to predict the transition, as it could not effectively activate the turbulent kinetic energy. As a result, its transport equations mathematically degenerated into standard molecular viscous transport equations, yielding results that completely coincided with those of the laminar model. These findings provide valuable references for the selection of turbulence models targeting flow transition within complex fuel assembly geometries.

     

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