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基于高空台排气扩压器湍流非平衡流动k-ω SST湍流模型系数优化
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1.西南科技大学 制造过程测试技术教育部重点实验室;2.中国航空发动机集团有限公司 四川燃气涡轮研究院

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V211.3

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中国航发四川燃气涡轮研究院外委课题(21zg8112);航空发动机高空模拟技术重点实验室稳定支持资助项目(20zh0149)


Optimizing k-ω SST Turbulence Model Coefficients for Turbulent Non-Equilibrium Flow in High Altitude Platform Exhaust Diffuser
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1.School of Manufacturing Science and Engineering,Southwest University of Science and Technology;2.Sichuan Gas Turbine Establishment, Aero Engine Corporation of China

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    摘要:

    为了准确模拟高空台排气扩压器湍流非平衡流动,采用Fluent软件分析k-ω SST湍流模型系数对高空台排气扩压器出口静压模拟精度的影响,并通过响应面试验优化模型系数。结果表明:随着α1的增大,模拟精度先提高后降低,直至达到0.341后保持不变。β*的增大使模拟值逐渐接近目标值,从而提高精度。当模拟值大于目标值时,精度先降低再提高;而模拟值小于目标值时,精度急剧降低。β2的增大也使模拟值逐渐接近目标值,从而提高精度。而σω2的增大则使模拟值迅速接近目标值,提高精度;但当模拟值小于目标值时,精度缓慢降低。并且模型系数α1、β*,β2、σω2优选范围为0.2973~0.325、0.056~0.098、0.0756~0.089、0.69~1.1984。在此基础上,通过响应面试验显著性分析,敏感性主次顺序为α1>β2>β*σω2,β*α1、α1和σω2、β2和β*交互作用的影响显著,模型系数α1、β*β2、σω2最佳组合为0.3052、0.0611、0.0826、0.853。最后通过试验合理性验证,表明模型系数最佳组合能较好的提高模拟计算准确性。

    Abstract:

    Fluent software was employed to analyze the influence of the k-ω SST turbulence model coefficient on the simulation accuracy of the static pressure at the outlet of the exhaust diffuser of the high altitude platform, in order to accurately simulate the turbulent non-equilibrium flow. The model coefficient was then optimized using a response surface test. The results indicate: With the increase of α1, the simulation accuracy initially increased and then decreased, stabilizing at 0.341. The gradual increase of β* brought the simulation value closer to the target value, thereby improving accuracy. When the simulation value exceeded the target value, accuracy first decreased and then increased; conversely, when the simulated value was less than the target value, accuracy decreased sharply. The increase of β2 also gradually closed the gap between the simulation value and the target value, thereby improving accuracy. Furthermore, the increase of σω2 rapidly brought the simulation value close to the target value and improved accuracy. However, when the simulation value was less than the target value, accuracy decreased slowly.Furthermore, the optimal ranges for the model coefficients α1, β*, β2, and σω2 were found to be 0.2973 to 0.325, 0.056 to 0.098, 0.0756 to 0.089, and 0.69 to 1.1984, respectively. Based on this, a significant sensitivity analysis through response surface experiments revealed that the order of sensitivity was α1 > β2 > β* > σω2. The interaction effects of β* with α1, α1 with σω2, and β2 with β* were found to be significant. The best combination of model coefficients α1, β*, β2, and σω2 was determined to be 0.3052, 0.0611, 0.0826, and 0.853.The best combination of model coefficients effectively im-proves the accuracy of simulation calculations, as demonstrated by the validation of experimental rationality.

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  • 收稿日期:2024-01-29
  • 最后修改日期:2024-01-29
  • 录用日期:2024-03-11
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