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Examining the inertial subrange with nanoscale cross-wire measurements of turbulent pipe flow at high Reynolds number near the centreline

Byers, Clayton P. and Hultmark, Marcus and Marusic, Ivan and Fu, Matt K. (2021) Examining the inertial subrange with nanoscale cross-wire measurements of turbulent pipe flow at high Reynolds number near the centreline. Journal of Fluid Mechanics, 919 . Art. No. A21. ISSN 0022-1120. doi:10.1017/jfm.2021.382. https://resolver.caltech.edu/CaltechAUTHORS:20210610-144624761

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Abstract

Highly resolved, two-component velocity measurements were made near the centreline of turbulent pipe flow for Reynolds numbers in the range 102 ≤ Re_λ ≤ 411 (1800 ≤ Re_τ ≤ 24700). These unique data were obtained with a nanoscale cross-wire probe and used to examine the inertial subrange scaling of the longitudinal and transverse velocity components. Classical dissipation rate estimates were made using both the integration of one-dimensional dissipation spectra for each velocity component and the third-order moment of the longitudinal structure function. Although the second-order moments and one-dimensional spectra for each component showed behaviour consistent with local isotropy, clear inertial range similarity and behaviour were not exhibited in the third-order structure functions at these Reynolds numbers. When corrected for the effects of radial inhomogeneities at the centreline following the generalized expression of Danaila et al. (J. Fluid Mech., vol. 430, 2001, pp. 87–109), re-derived for the pipe flow domain, the third-order moments of the longitudinal structure function exhibited a clearer plateau per the classical Kolmogorov ‘four-fifths law’. Similar corrections described by Danaila et al. (J. Fluid Mech., vol. 430, 2001, pp. 87–109) applied to the analogous equation for the mixed structure functions (i.e. the ‘four-thirds law’) also yielded improvement over all ranges of scale, improving with increasing Reynolds number. The rate at which the ‘four-fifths’ law and ‘four-thirds’ law were approached by the third-order structure functions was found to be more gradual than decaying isotropic turbulence for the same Reynolds numbers.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/jfm.2021.382DOIArticle
ORCID:
AuthorORCID
Byers, Clayton P.0000-0001-5646-5200
Marusic, Ivan0000-0003-2700-8435
Fu, Matt K.0000-0003-3949-7838
Additional Information:© The Author(s), 2021. Published by Cambridge University Press. Received 29 October 2020; revised 6 March 2021; accepted 26 April 2021. Published online by Cambridge University Press: 26 May 2021. The authors would like to thank Y. Fan for his aid in fabricating the probes and acquiring the data using in this study and K. Huang for her help in editing the paper. This work was supported by under NSF grant CBET-1510100 (program manager R. Joslin) and the Office of Naval Research (ONR) grant N00014-17-2309. The authors report no conflict of interest.
Group:GALCIT
Funders:
Funding AgencyGrant Number
NSFCBET-1510100
Office of Naval Research (ONR)N00014-17-2309
Subject Keywords:pipe flow, turbulence theory
DOI:10.1017/jfm.2021.382
Record Number:CaltechAUTHORS:20210610-144624761
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210610-144624761
Official Citation:Byers, C., Hultmark, M., Marusic, I., & Fu, M. (2021). Examining the inertial subrange with nanoscale cross-wire measurements of turbulent pipe flow at high Reynolds number near the centreline. Journal of Fluid Mechanics, 919, A21. doi:10.1017/jfm.2021.382
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:109473
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:10 Jun 2021 21:56
Last Modified:10 Jun 2021 21:56

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