On the role of return to isotropy in wall-bounded turbulent flows with buoyancy
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Title: | Main Title: On the role of return to isotropy in wall-bounded turbulent flows with buoyancy |
Description: | Abstract: High Reynolds number wall-bounded turbulent flows subject to buoyancy forces are fraught with complex dynamics originating from the interplay between shear generation of turbulence (S) and its production or destruction by density gradients (B). For horizontal walls, S augments the energy budget of the streamwise fluctuations, while B influences the energy contained in the vertical fluctuations. Yet, return to isotropy remains a tendency of such flows where pressure–strain interaction redistributes turbulent energy among all three velocity components and thus limits, but cannot fully eliminate, the anisotropy of the velocity fluctuations. A reduced model of this energy redistribution in the inertial (logarithmic) sublayer, with no tuneable constants, is introduced and tested against large eddy and direct numerical simulations under both stable (B<0) and unstable (B>0) conditions. The model links key transitions in turbulence statistics with flux Richardson number (at Rif = −B/S ≈ −2, −1 and −0.5) to shifts in the direction of energy redistribution. Furthermore, when coupled to a linear Rotta-type closure, an extended version of the model can predict individual variance components, as well as the degree of turbulence anisotropy. The extended model indicates a regime transition under stable conditions when Rif approaches Rif ,max ≈ +0.21. Buoyant destruction B increases with increasing stabilizing density gradients when Rif < Rif ,max , while at Rif Rif ,max limitations on the redistribution into the vertical component throttle the highest attainable rate of buoyant destruction, explaining the ‘self-preservation’ of turbulence at large positive gradient Richardson numbers. Despite adopting a ‘framework of maximum simplicity’, the model results in novel and insightful findings on how the interacting roles of energy redistribution and buoyancy modulate the variance budgets and the energy exchange among the components. |
Citation Advice: | Bou-Zeid, Elie, Xiang Gao, Cedrick Ansorge, and Gabriel G Katul. 2018. “On the Role of Return to Isotropy in Wall-Bounded Turbulent Flows with Buoyancy.” Journal of Fluid Mechanics 856 (December). Cambridge University Press: 61–78. doi:10.1017/jfm.2018.693. |
Responsible Party
Creators: | Elie Bou-Zeid (Author), Xiang Gao (Author), Cedrick Ansorge (Author), Gabriel Katul (Author) |
Funding References: | Deutsche Forschungsgemeinschaft (DFG): CRC/TRR 32: Patterns in Soil-Vegetation-Atmosphere Systems: Monitoring, Modelling and Data Assimilation National Science Foundation: NSF-EAR-1344703: NSF-EAR-1344703 National Science Foundation: NSF-AGS-1644382: Ultra Fine Particle Deposition onto Vegetated Surfaces Situated on Complex Topography: From Leaf to Landscape National Science Foundation: NSF-IOS-1754893: The dynamics of embolism formation and repair in xylem conduits: from bubble scale to loss in plant hydraulic transport capacity Universität zu Köln: PostDocGrant2018: Quantitative analyses of exchange through the land–atmosphere interface |
Publisher: | Cambridge University Press |
Publication Year: | 2018 |
Topic
TR32 Topic: | Atmosphere |
Related Subproject: | C7 |
Subjects: | Keywords: Turbulence, Stability, Surface Fluxes |
Geogr. Information Topic: | Climatology/Meteorology/Atmosphere |
File Details
Filename: | PUBLISHED.pdf |
Data Type: | Text - Article |
Size: | 18 Pages |
File Size: | 636 KB |
Dates: | Available: 28.09.2018 ((Published)) Accepted: 22.08.2018 Submitted: 22.02.2018 |
Mime Type: | application/pdf |
Data Format: | |
Language: | English |
Status: | Completed |
Constraints
Download Permission: | Only Project Members |
General Access and Use Conditions: | According to the TR32DB data policy agreement. |
Access Limitations: | According to the TR32DB data policy agreement. |
Licence: | [TR32DB] Data policy agreement |
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Specific Information - Publication
Publication Status: | Accepted |
Review Status: | Peer reviewed |
Publication Type: | Article |
Article Type: | Journal |
Source: | Journal of Fluid Mechanics |
Source Website: | https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-the-role-of-return-to-isotropy-in-wallbounded-turbulent-flows-with-buoyancy/348C9159C4389CC6975942E41A08B877 |
Volume: | 856 |
Number of Pages: | 18 (61 - 78) |
Metadata Details
Metadata Creator: | Cedrick Ansorge |
Metadata Created: | 30.09.2018 |
Metadata Last Updated: | 30.09.2018 |
Subproject: | C7 |
Funding Phase: | 3 |
Metadata Language: | English |
Metadata Version: | V50 |
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Metadata Downloads: | 0 |
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