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Effects of anisotropy on the geometry of tracer particle trajectories in turbulent flows

Hengster, Yasmin and Lellep, Martin and Weigel, Julian and Bross, Matthew and Bosbach, Johannes and Schanz, Daniel and Schröder, Andreas and Huhn, Florian and Novara, Matteo and Paz, Daniel Garaboa and Kähler, Christian and Linkmann, Moritz (2024) Effects of anisotropy on the geometry of tracer particle trajectories in turbulent flows. European Journal of Mechanics B-Fluids, 103 (01–02), pp. 284-298. Elsevier. doi: 10.1016/j.euromechflu.2023.10.008. ISSN 0997-7546.

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Official URL: https://www.sciencedirect.com/science/article/pii/S0997754623001498?via%3Dihub


Using curvature and torsion to describe Lagrangian trajectories gives a full description of these as well as an insight into small and large time scales as temporal derivatives up to order 3 are involved. One might expect that the statistics of these properties depend on the geometry of the flow. Therefore, we calculated curvature and torsion probability density functions (PDFs) of experimental Lagrangian trajectories processed using the Shake-the-Box algorithm of turbulent von Kármán flow, Rayleigh-Bénard convection and a zero-pressuregradient boundary layer over a flat plate. The results for the von-Kármán flow compare well with experimental results for the curvature PDF and numerical simulation of homogeneous and isotropic turbulence for the torsion PDF. For the experimental Rayleigh-Bénard convection, the power law tails found agree with those measured for von-Kármán flow. Results for the logarithmic layer within the boundary layer differ slightly, we give some potential explanation below. To detect and quantify the effect of anisotropy either resulting from a mean flow or large-scale coherent motions on the geometry or tracer particle trajectories, we introduce the curvature vector. We connect its statistics with those of velocity fluctuations and demonstrate that strong large-scale motion in a given spatial direction results in meandering rather than helical trajectories.

Item URL in elib:https://elib.dlr.de/198851/
Document Type:Article
Additional Information:Available online 28 October 2023, Volume 103, January–February 2024, Pages 284-298
Title:Effects of anisotropy on the geometry of tracer particle trajectories in turbulent flows
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Hengster, YasminUniversity of Edinburgh, UKUNSPECIFIEDUNSPECIFIED
Lellep, MartinUniversity of Edinburgh, UKUNSPECIFIEDUNSPECIFIED
Weigel, JulianUniversität HeidelbergUNSPECIFIEDUNSPECIFIED
Bross, MatthewUniversität der Bundeswehr MünchenUNSPECIFIEDUNSPECIFIED
Bosbach, JohannesUNSPECIFIEDhttps://orcid.org/0000-0002-1531-127X146868022
Schanz, DanielUNSPECIFIEDhttps://orcid.org/0000-0003-1400-4224UNSPECIFIED
Schröder, AndreasUNSPECIFIEDhttps://orcid.org/0000-0002-6971-9262146868024
Novara, MatteoAS-EXVhttps://orcid.org/0000-0002-8975-0419UNSPECIFIED
Paz, Daniel GaraboaUniversity of Santiago di Compostela, SpainUNSPECIFIEDUNSPECIFIED
Kähler, ChristianUniversität der Bundeswehr MünchenUNSPECIFIEDUNSPECIFIED
Linkmann, MoritzUniversity of Edinburgh, UKUNSPECIFIEDUNSPECIFIED
Date:January 2024
Journal or Publication Title:European Journal of Mechanics B-Fluids
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 284-298
Keywords:Turbulence, Lagrangian statistics, intermittency
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Efficient Vehicle
DLR - Research area:Aeronautics
DLR - Program:L EV - Efficient Vehicle
DLR - Research theme (Project):L - Virtual Aircraft and  Validation
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Experimental Methods, GO
Deposited By: Micknaus, Ilka
Deposited On:17 Nov 2023 14:27
Last Modified:22 Nov 2023 15:26

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