零压力梯度湍流边界层复合速度剖面研究:与DNS数据集的比较

IF 1.8 Q3 MECHANICS Fluids Pub Date : 2023-09-25 DOI:10.3390/fluids8100260
Antonios Liakopoulos, Apostolos Palasis
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引用次数: 0

摘要

对零压力梯度湍流边界层直接数值模拟(DNS)得到的数据进行了分析,并与平均速度剖面(MVP)在1000≤Reθ≤6500范围内的数学模型进行了比较。该数学模型是基于精确的内部规律描述和高斯尾迹函数与适当选择的参数的叠加。当基于动量厚度的雷诺数Reθ大于1000时,数学模型与内层的DNS数据具有很好的一致性。此外,当Reθ大于2000时,整个边界层厚度也有很好的一致性。研究了基于DNS数据的诊断函数Ξ和Γ,并讨论了它们的特征与MVP存在对数层或幂律行为的关系。给出了数学模型预测的诊断函数。
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On the Composite Velocity Profile in Zero Pressure Gradient Turbulent Boundary Layer: Comparison with DNS Datasets
Data obtained by direct numerical simulations (DNS) of the Zero-Pressure-Gradient Turbulent Boundary Layer were analyzed and compared to a mathematical model of the mean velocity profile (MVP) in the range 1000 ≤ Reθ ≤ 6500. The mathematical model is based on the superposition of an accurate description of the inner law and Coles’ wake function with appropriately chosen parameters. It is found that there is excellent agreement between the mathematical model and the DNS data in the inner layer when the Reynolds number based on momentum thickness, Reθ, is greater than 1000. Furthermore, there is very good agreement over the entire boundary layer thickness, when Reθ is greater than 2000. The diagnostic functions Ξ and Γ based on DNS data are examined and their characteristics are discussed in relation to the existence of a logarithmic layer or a power law behavior of the MVP. The diagnostic functions predicted by the mathematical model are also presented.
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来源期刊
Fluids
Fluids Engineering-Mechanical Engineering
CiteScore
3.40
自引率
10.50%
发文量
326
审稿时长
12 weeks
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