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Coherent structures, uniform momentum zones and the streamwise energy spectrum in wall-bounded turbulent flows

Saxton-Fox, Theresa and McKeon, Beverley J. (2017) Coherent structures, uniform momentum zones and the streamwise energy spectrum in wall-bounded turbulent flows. Journal of Fluid Mechanics, 826 . Art. No. R6. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20170911-104649363

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Abstract

Large-scale motions (LSMs) in wall-bounded turbulent flows have well-characterised instantaneous structural features (Kovasznay et al., J. Fluid Mech., vol. 41 (2), 1970, pp. 283–325; Meinhart & Adrian, Phys. Fluids, vol. 7 (4), 1995, pp. 694–696) and a known spectral signature (Monty et al., J. Fluid Mech., vol. 632, 2009, pp. 431–442). This work aims to connect these previous observations through the development and analysis of a representative model for LSMs. The model is constructed to be consistent with the streamwise energy spectrum (Monty et al. 2009) and amplification characteristics of the Navier–Stokes equations (McKeon & Sharma, J. Fluid Mech., vol. 658, 2010, pp. 336–382), and is found to naturally recreate characteristics of instantaneous turbulent structures, including a bulge shape (Kovasznay et al. 1970) and the presence of uniform momentum zones (Meinhart & Adrian 1995) in the streamwise velocity field. The observed structural similarity between the LSM representative model and instantaneous experimental data supports the use of travelling wave models to connect statistical and instantaneous descriptions of coherent structures, and clarifies a simple general equivalency between symmetry in a Reynolds-decomposed velocity field and asymmetry in the laboratory frame.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/jfm.2017.493DOIArticle
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/coherent-structures-uniform-momentum-zones-and-the-streamwise-energy-spectrum-in-wallbounded-turbulent-flows/75A3F75E03A1E4B436FF61A26B3F2EB8PublisherArticle
ORCID:
AuthorORCID
Saxton-Fox, Theresa0000-0003-1328-4148
McKeon, Beverley J. 0000-0003-4220-1583
Additional Information:© 2017 Cambridge University Press. Received 12 May 2017; revised 20 June 2017; accepted 16 July 2017; first published online 15 August 2017. This work was made possible through the support of a National Defense Science and Engineering Graduate (NDSEG) Fellowship and United States Air Force grants FA9550-12-1-0060 and FA9550-16-1-0361. The authors would like to thank Dr S. Dawson for his work on the boundary layer resolvent code.
Group:GALCIT
Funders:
Funding AgencyGrant Number
National Defense Science and Engineering Graduate (NDSEG) FellowshipUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-12-1-0060
Air Force Office of Scientific Research (AFOSR)FA9550-16-1-0361
Subject Keywords:turbulent boundary layers; turbulent flows; turbulence modelling
Record Number:CaltechAUTHORS:20170911-104649363
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170911-104649363
Official Citation:Saxton-Fox, T., & McKeon, B. (2017). Coherent structures, uniform momentum zones and the streamwise energy spectrum in wall-bounded turbulent flows. Journal of Fluid Mechanics, 826. doi:10.1017/jfm.2017.493
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81289
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Sep 2017 18:13
Last Modified:11 Sep 2017 18:13

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