基于滑速比的空泡份额预测模型综述与评价

Review and Evaluation of Slip-ratio-based Void Fraction Prediction Models

  • 摘要: 空泡份额是气液两相流中的一个重要参数,与流场的流型、压降、换热等都有密切联系。空泡份额的预测方法很多,其中基于滑速比的预测方法应用最为广泛。然而,实验上很难准确获得滑速比的变化规律,相关的理论研究也较缺乏,使得预测模型间的准确度相差较大。因此,有必要结合多项指标对现有的滑速比模型开展综合评价。基于此,本文整理了8个滑速比模型,收集了380组空气-水的两相流实验数据,采用误差分析法和灰色关联法对这些滑速比模型的整体性能进行综合评价,评价指标包括平均绝对误差、均方根误差、误差频率分布和灰色关联度。结果表明,对于空气-水气液两相流,在空泡份额的全范围(0<α<1)内,Chisholm公式的整体性能最好。受流型的影响,不同空泡份额范围内各公式的性能存在差异,低空泡份额范围(0<α<0.3)内现有公式的准确度均较低,不推荐基于滑速比模型去预测空泡份额,而在中等空泡份额范围(0.3<α<0.7)内Lockhart&Martinelli公式的整体性能更好,高空泡份额范围(0.7<α<1)内Chisholm公式的整体性能更好。

     

    Abstract: Void fraction is an important parameter in gas-liquid two-phase flow, which is closely related to the flow pattern, pressure drop, and heat transfer of the flow field. Since flow boiling is widely encountered in various industrial fields, especially in the cores of pressured water reactors (PWRs) and boiling water reactors (BWRs), accurate predicting of the void fraction is beneficial for controlling the reactor reactivity. There are many methods for the prediction of void fraction, among which the slip-ratio-based method is the most popular one. However, since it is quite difficult to measure the variations of slip ratio in experiments accurately and the relevant theoretical research is still lack, there exist significant differences of prediction accuracy between different slip-ratio-based void fraction models. Therefore, it is necessary to conduct a comprehensive evaluation of existing slip-ratio-based void fraction models through multiple evaluation indicators. On this basis, 8 slip ratio models were collected in this paper, which considered the influence of physical properties and vapor quality. Then, an experimental database for void fraction was established, containing 380 sets of experimental data of air-water two-phase flow. The overall performance of these slip-ratio-based void fraction models was comprehensively evaluated both based on the error analysis and the grey correlation analysis. The evaluation indicators mainly include the mean absolute error, root mean square error, error frequency distribution, and grey correlation degree, among which the grey correlation degree can reflect the similarity between the predicted values and experimental results quantitatively. The results indicate that for air-water two-phase flow, the Chisholm correlation performs best within the full range of void fraction (0<α<1). Due to the influence of flow patterns, there exist large differences in the performance of various slip ratio correlations within different void fraction ranges. In the low-range of void fraction (0<α<0.3), bubbly flow is the main flow pattern. The gas phase content is relatively low, and the velocities of two phases may be unevenly distributed on the cross-section of the channel, resulting in the low accuracy of the slip-ratio-based models. Thus, slip-ratio-based models are not recommended in this range to predict the void fraction. However, with the increase of the gas content, both gas and liquid phases exist in the form of continuous phases, which significantly improves the performance of these models. As a result, Lockhart&Martinelli correlation performs best in the moderate range of void fraction (0.3<α<0.7). The Chisholm correlation performs best in the high range of void fraction (0.7<α<1).

     

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