Integral formula for determination of the reynolds stress in canonical flow geometries

Taewoo Lee, Jung Eun Park

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

We present a theoretical framework for solving for the Reynolds stress in turbulent flows, based on fundamental physics of turbulence transport. Results thus far indicate that the good agreement between the current theoretical results with experimental and DNS (direct numerical simulation) data is not a fortuitous coincidence, and in the least the current approach is the best hypothesis available in canonical flow geometries. The theory leads to simple and correct expressions for the Reynolds stress in various flow geometries, in terms of the root variables, such as the mean velocity, velocity gradient, turbulence kinetic energy and a viscous term. The applications for this theory are construction of effective turbulence models based on correct physics, and potentially augmenting or replacing turbulence models in simple flows. However, as the method is thus far proven only for relatively simple flow geometries, and implications and nuances for full, three-dimensional flows need to be further examined.

Original languageEnglish (US)
Title of host publicationProgress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016
PublisherSpringer Science and Business Media, LLC
Pages147-152
Number of pages6
Volume196
ISBN (Print)9783319579337
DOIs
StatePublished - 2017
Event7th iTi Conference on Turbulence, 2016 - Bertinoro, Italy
Duration: Sep 7 2016Sep 9 2016

Other

Other7th iTi Conference on Turbulence, 2016
CountryItaly
CityBertinoro
Period9/7/169/9/16

Fingerprint

flow geometry
Reynolds stress
turbulence models
turbulence
physics
three dimensional flow
direct numerical simulation
turbulent flow
kinetic energy
gradients

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Lee, T., & Park, J. E. (2017). Integral formula for determination of the reynolds stress in canonical flow geometries. In Progress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016 (Vol. 196, pp. 147-152). Springer Science and Business Media, LLC. https://doi.org/10.1007/978-3-319-57934-4_21

Integral formula for determination of the reynolds stress in canonical flow geometries. / Lee, Taewoo; Park, Jung Eun.

Progress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016. Vol. 196 Springer Science and Business Media, LLC, 2017. p. 147-152.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lee, T & Park, JE 2017, Integral formula for determination of the reynolds stress in canonical flow geometries. in Progress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016. vol. 196, Springer Science and Business Media, LLC, pp. 147-152, 7th iTi Conference on Turbulence, 2016, Bertinoro, Italy, 9/7/16. https://doi.org/10.1007/978-3-319-57934-4_21
Lee T, Park JE. Integral formula for determination of the reynolds stress in canonical flow geometries. In Progress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016. Vol. 196. Springer Science and Business Media, LLC. 2017. p. 147-152 https://doi.org/10.1007/978-3-319-57934-4_21
Lee, Taewoo ; Park, Jung Eun. / Integral formula for determination of the reynolds stress in canonical flow geometries. Progress in Turbulence VII - Proceedings of the iTi Conference in Turbulence 2016. Vol. 196 Springer Science and Business Media, LLC, 2017. pp. 147-152
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