基于直接数值模拟的氦氙气体湍流传热特性研究

Direct Numerical Simulation Study on Turbulent Heat Transfer Characteristic of Helium-xenon Gas Mixture

  • 摘要: 采用氦氙气体作为冷却剂的高温气冷堆是解决极端环境能源可靠运行问题的优选方案。氦氙气体作为一种新型反应堆冷却剂工质,其湍流传热特性与典型压水堆工质存在较大差异。本文采用高保真数值手段——直接数值模拟(DNS)对不同温度范围(300~1 500 K)工况下氦氙气体在圆管内的湍流传热特性开展研究,通过有限的实验数据验证了DNS方法的适用性,通过湍流统计方法获得了高精度速度场、温度场及湍流结构数据,发现氦氙气体的湍流普朗特数Prt沿径向变化较大,常数模型不再适用。基于DNS数据对比4种换热经验关系式预测结果,它们在中、高温工况均低估了换热系数,预测相对偏差超过20%。本文进一步针对Pickett换热关系式进行常物性修正、温度影响修正以及入口段修正,得到了适用于中、高温工况的氦氙气体传热经验关系式,能够合理预测中、高温工况下的氦氙气体湍流换热系数,与DNS结果的相对偏差在3%以内。本文研究可为堆芯热工设计和安全评价提供理论支撑。

     

    Abstract: High temperature gas-cooled reactors using helium-xenon gas mixtures as the reactor coolant are the optimal solution for reliable energy under extreme conditions where the compact small reactors are necessary. It is essential for the thermal-hydraulic and safety design of such reactors to fully understand the turbulent heat transfer mechanisms of helium-xenon gas mixtures in the reactor core. The Prandtl number of typical helium-xenon gas mixtures is around 0.2 under normal operating conditions. As low-Prandtl-number fluid, the turbulent heat transfer characteristics of helium-xenon gas mixtures differ significantly from those of the typical coolant of pressurized water reactors because Prandtl number reflects the relative relationship of the development of the velocity and thermal boundary layers. In this paper, a high-fidelity numerical method, namely direct numerical simulation (DNS), was employed to investigate the turbulent heat transfer characteristics of helium-xenon gas mixtures in a round pipe across a wide range of temperature (from 300 to 1 500 K). The DNS method was validated against limited experimental data from literature. High-resolution and high-fidelity numerical data of the flow field, temperature field, and turbulent structures were obtained by DNS and turbulent statistic methods. It is found that the turbulent Prandtl number (Prt) of helium-xenon gas mixtures varies significantly across the radial direction in the round pipe, which indicates that the constant Prt model assumption which is commonly used in the engineering simulations is invalid and novel Prt models need to be developed for better numerical predictions of turbulent heat transfer of helium-xenon gas mixtures. In addition, by comparing the heat transfer coefficient results of DNS and four different conventional empirical heat transfer correlations, it is proved that, under the high temperature conditions, all the empirical correlations have underestimated the heat transfer coefficients with relative deviations exceeding 20%. The main reason for the relative deviation could be that the parameters of the empirical correlations are calibrated based on the experimental data under the low temperature conditions while the physical properties of the helium-xenon gas mixtures vary differently under the high temperature conditions, which resulting in the underestimation of the heat transfer coefficients for the empirical correlations. Among the four empirical correlations, the Pickett correlation performs relatively better and it is selected to be furtherly calibrated based on the DNS data under the high temperature conditions. The modified Pickett correlation can accurately predict the turbulent heat transfer coefficients of helium-xenon gas mixtures under the high temperature conditions, achieving the relative deviations within 3% of DNS results. The present study provides essential theoretical support for thermal-hydraulic design and safety assessment of the high temperature helium-xenon gas-cooled reactor.

     

/

返回文章
返回