Stochastic Modeling of Turbulent Scalar Transport at Very High Schmidt Numbers

Stochastic Modeling of Turbulent Scalar Transport at Very High Schmidt Numbers
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极高施密特数下湍流标量输运的随机建模

DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
H. Schmidt
H. Schmidt
中科院分区:
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文献类型:
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作者:
M. Klein;H. Schmidt

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一种随机建模方法,即所谓的一维湍流(ODT),被用于研究不可压缩的、完全发育的、高达非常高的施密特数Sc = ν/Γ ~ 104(运动粘度ν,标量扩散率Γ)的湍流通道中的被动标量输运。ODT和直接数值模拟(DNS)的结果在平均值、波动统计量和无因次传质系数K+方面有很好的一致性。在高施密特数下,ODT产生的传质系数与雷诺数无关,这与参考实验室测量和DNS相似。目前的ODT结果显示幂律K+∝Sc−0.65,标度指数仅略大于参考实验室测量和DNS。得到的结果表明,ODT可以成为一个广泛的物理参数范围内的湍流传输建模的通用工具。(©2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
A stochastic modeling approach, the so‐called One‐Dimensional Turbulence (ODT), is used to study passive scalar transport in incompressible, fully‐developed, turbulent channel flows up to very high Schmidt numbers Sc = ν/Γ ∼ 104 (kinematic viscosity ν, scalar diffusivity Γ). Good agreement is obtained between ODT and Direct Numerical Simulation (DNS) results with respect to the mean, the fluctuation statistics, and the dimensionless mass transfer coefficient K+. ODT yields the mass transfer coefficient to become independent of the Reynolds number at high Schmidt numbers, which is similar to reference laboratory measurements and DNS. The present ODT results exhibit the power law K+ ∝ Sc−0.65 with a scaling exponent that is only slightly larger than in the reference laboratory measurements and DNS. The results obtained suggests that ODT can be a versatile tool for turbulent transport modeling in a wide range of physical parameters. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)