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  5. Countergradient turbulent transport in a plume with a crossflow
 
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Countergradient turbulent transport in a plume with a crossflow
File(s)
s10652-024-09973-1.pdf (1.86 MB)
Published version
Author(s)
Fenton, Daniel
Cimarelli, Andrea
Mollicone, Jean-Paul
van Reeuwijk, Maarten
De Angelis, Elisabetta
Type
Journal Article
Abstract
Direct numerical simulation of a turbulent forced buoyant plume in a crossfow is performed at a source Reynolds number Re 0 = 1000, Richardson number Ri0 = 1, Prandtl
number Pr = 1 and source-to-crossfow velocity ratio R0 = 1. The instantaneous and
temporally averaged fow felds are assessed in detail, providing an overview of the fow
dynamics. The velocity, temperature and pressure felds are used together with enstrophy
felds to describe qualitatively the evolution of the plume as it is swept downstream by the
crossfow, and the mechanisms involved in its evolution are outlined. The plume trajectory
is determined quantitatively in a number of ways, and it is shown that the central streamline
and the centre of buoyancy of the plume difer signifcantly—as with jets in crossfow, the
central streamline is seen to follow the top of the plume, whereas the centre of buoyancy,
by defnition, describes the plume as a whole. We then investigate the turbulence properties
inside the plume; in particular the eddy viscosity and difusivity are presented, which are
signifcant parameters in turbulence modelling. Assessment of turbulence production demonstrates the presence of regions where turbulence kinetic energy is redistributed to the
kinetic energy of the mean fow, implying a negative eddy viscosity within certain regions
of the domain. Similarly, the observation that the buoyancy fux and buoyancy gradient
are anti-parallel in specifc regions of the fow implies a negative eddy difusivity in said
regions, which must be realised in models of such fows in order to capture the countergradient transport of thermal properties. A characteristic eddy viscosity and difusivity are
presented, and shown to be approximately constant in the fully developed regime, resulting
in a constant characteristic turbulent Prandtl number, in turn signifying self-similarity.
Date Issued
2024-10-01
Date Acceptance
2024-02-18
Citation
Environmental Fluid Mechanics, 2024, 24, pp.1005-1022
URI
http://hdl.handle.net/10044/1/112121
URL
http://dx.doi.org/10.1007/s10652-024-09973-1
DOI
https://www.dx.doi.org/10.1007/s10652-024-09973-1
ISSN
1567-7419
Publisher
Springer
Start Page
1005
End Page
1022
Journal / Book Title
Environmental Fluid Mechanics
Volume
24
Copyright Statement
© The Author(s) 2024 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
https://creativecommons.org/licenses/by/4.0/
Identifier
http://dx.doi.org/10.1007/s10652-024-09973-1
Publication Status
Published
Date Publish Online
2024-03-16
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