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Kinetic Energy Budget of the Largest Scales in Turbulent Pipe Flow

Bauer, Christian and von Kameke, Alexandra and Wagner, Claus (2019) Kinetic Energy Budget of the Largest Scales in Turbulent Pipe Flow. Physical Review Fluids, 4 (6), pp. 1-22. American Physical Society. DOI: 10.1103/PhysRevFluids.4.064607 ISSN 2469-990X

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Official URL: https://link.aps.org/doi/10.1103/PhysRevFluids.4.064607

Abstract

So-called very-large-scale motions (VLSM) have been observed in turbulent pipe flows recently. It was discovered that they carry a substantial fraction of turbulent kinetic energy. However, the question how they gain and loose their energy from other scales has not been rigorously studied yet. Hence, the present study is intended to investigate how energy is transferred towards and away from the very-large scales. The inter- and intra-scale energy flux in turbulent pipe flow is analyzed by means of the u'u'-budget equation of the two-dimensionally filtered streamwise fluctuating velocity field u' obtained from a direct numerical simulation at Re_\tau = 1500. We show that the largest scales of motion gain their energy in the logarithmic layer through the production term of the low-pass filtered budget equation. In contrast to the small-scale energy transfer near the wall, no mean backscattering of energy is observed towards VLSM. Instantaneous flow field realizations as well as conditional averages, on the contrary, show backscattering into negative ejecting VLSM up to y+ = 200, which is overcompensated by even stronger forward scattering from positive sweeping VLSM. This behaviour opposes the small-scale energy transfer near the wall, where backscattering is associated with high-speed sweeping motions.

Item URL in elib:https://elib.dlr.de/127563/
Document Type:Article
Additional Information:ISSN: 2469-990X
Title:Kinetic Energy Budget of the Largest Scales in Turbulent Pipe Flow
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Bauer, ChristianChristian.Bauer (at) dlr.dehttps://orcid.org/0000-0003-1838-6194
von Kameke, AlexandraTU HamburgUNSPECIFIED
Wagner, ClausClaus.Wagner (at) dlr.deUNSPECIFIED
Date:10 June 2019
Journal or Publication Title:Physical Review Fluids
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:4
DOI :10.1103/PhysRevFluids.4.064607
Page Range:pp. 1-22
Editors:
EditorsEmail
UNSPECIFIEDAmerican Physical Society
Publisher:American Physical Society
ISSN:2469-990X
Status:Published
Keywords:turbulent pipe flow, DNS, VLSM, energy flux
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Rail Transport
DLR - Research area:Transport
DLR - Program:V SC Schienenverkehr
DLR - Research theme (Project):V - NGT BIT
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > Ground Vehicles
Deposited By: Bauer, Christian
Deposited On:21 Jun 2019 16:14
Last Modified:09 Sep 2019 07:27

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