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A wall-law for the mean velocity in the inner part of turbulent boundary layers at adverse pressure and application for RANS turbulence modelling

Knopp, Tobias and Reuther, Nico and Novara, Matteo and Schülein, Erich and Schanz, Daniel and Willert, Christian and Schröder, Andreas and Krumbein, Andreas and Grabe, Cornelia and Kähler, Christian (2021) A wall-law for the mean velocity in the inner part of turbulent boundary layers at adverse pressure and application for RANS turbulence modelling. 25th International Congress of Theoretical and Applied Mechanics (ICTAM 2020+1), 22.-27. Aug. 2021, Mailand, Italien.

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Official URL: https://www.ictam2020.org/

Abstract

We present a strategy to modify turbulence models based on the Reynolds averaged Navier-Stokes (RANS) equations for flow separation on smooth surfaces due to an adverse pressure gradient. We describe two new turbulent boundary layer experiments to study the behaviour of the mean velocity profile at adverse pressure gradients and at high Re. We observe that the log-law in the mean velocity profile is a robust feature, but its region is much thinner than in zero-pressure gradient flows, and its slope is altered. A square-root law emerges above the log-law extending to the wall-ward distance the log-law typically occupies. Then we modify a differential Reynolds stress turbulence model. The modified model accounts for a change of the log-law slope and the formation of a square-root law at adverse pressure gradient, improving the agreement with the experimental data for both experiments.

Item URL in elib:https://elib.dlr.de/136560/
Document Type:Conference or Workshop Item (Speech)
Title:A wall-law for the mean velocity in the inner part of turbulent boundary layers at adverse pressure and application for RANS turbulence modelling
Authors:
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Knopp, Tobiastobias.knopp (at) dlr.dehttps://orcid.org/0000-0002-3161-5353
Reuther, NicoUniversität der Bundeswehr, MünchenUNSPECIFIED
Novara, Matteomatteo.novara (at) dlr.dehttps://orcid.org/0000-0002-8975-0419
Schülein, ErichErich.Schuelein (at) dlr.dehttps://orcid.org/0000-0002-1125-8504
Schanz, Danieldaniel.schanz (at) dlr.dehttps://orcid.org/0000-0003-1400-4224
Willert, ChristianChris.Willert (at) dlr.dehttps://orcid.org/0000-0002-1668-0181
Schröder, AndreasAndreas.Schroeder (at) dlr.dehttps://orcid.org/0000-0002-6971-9262
Krumbein, AndreasAndreas.Krumbein (at) dlr.dehttps://orcid.org/0000-0002-2772-7328
Grabe, Corneliacornelia.grabe (at) dlr.dehttps://orcid.org/0000-0001-6028-2757
Kähler, ChristianUniversität der Bundeswehr, Münchenhttps://orcid.org/0000-0001-9336-2091
Date:19 August 2021
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Editors:
EditorsEmailEditor's ORCID iD
UNSPECIFIEDictamUNSPECIFIED
Status:Published
Keywords:turbulent boundary layer; adverse pressure gradient; log law; half-power law; square-root law; RANS turbulence modelling
Event Title:25th International Congress of Theoretical and Applied Mechanics (ICTAM 2020+1)
Event Location:Mailand, Italien
Event Type:international Conference
Event Dates:22.-27. Aug. 2021
Organizer:IUTAM
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 - Digital Technologies
Location: Göttingen , Köln-Porz
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > CASE, GO
Institute for Aerodynamics and Flow Technology > Experimental Methods, GO
Institute for Aerodynamics and Flow Technology > High Speed Configurations, GO
Institute of Propulsion Technology > Engine Measurement Systems
Deposited By: Knopp, Dr.rer.nat. Tobias
Deposited On:12 Nov 2021 11:29
Last Modified:22 Feb 2022 18:23

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