Application of the stochastic closure theory to the Townsend-Perry constants

We compare the stochastic closure theory (SCT) to the Townsend-Perry constants as estimated from measurements in the Flow Physic Facility (FPF) at the University of New Hampshire. First, we explain the derivation of the Townsend-Perry constants, which were originally formulated by Meneveau and Marus...

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Bibliographic Details
Published in:Physical review. E 2019-12, Vol.100 (6-1), p.061101-061101, Article 061101
Main Authors: Kaminsky, John, Klewicki, Joe, Birnir, Björn
Format: Article
Language:English
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Summary:We compare the stochastic closure theory (SCT) to the Townsend-Perry constants as estimated from measurements in the Flow Physic Facility (FPF) at the University of New Hampshire. First, we explain the derivation of the Townsend-Perry constants, which were originally formulated by Meneveau and Marusic, in analogy with a Gaussian distribution. However, this was not supported by the data. Instead, the data show a sub-Gaussian relation that was explained by Birnir and Chen. We show herein how the SCT can be used to compute the constants, which explains their sub-Gaussian relations. We then compare the SCT theory predictions, including Reynolds-number-dependent corrections, with the data, showing good agreement.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.100.061101