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Comparison Between Prandtl’s Mixing Length Model and DNS Data for a Channel Flow Up to Reτ ≈ 5200 Cover

Comparison Between Prandtl’s Mixing Length Model and DNS Data for a Channel Flow Up to Reτ ≈ 5200

Open Access
|May 2022

Abstract

This paper presents a theoretical study of fully developed turbulent flow in a channel at friction Reynolds numbers of 1000, 2000 and 5200. For the momentum equation, Reynolds Averaged Navier-Stokes (RANS) approach was used, where the Reynolds stress was modeled using Prandtl’s mixing length model with Van Driest’s modification to capture the damping effect near wall. The velocity profile was computed by solving the non-linear ODE for momentum using Euler’s method. The results were compared with the latest available DNS data.

DOI: https://doi.org/10.2478/bipcm-2022-0008 | Journal eISSN: 2537-4869 | Journal ISSN: 1011-2855
Language: English
Page range: 99 - 107
Submitted on: Mar 24, 2022
Accepted on: Mar 31, 2022
Published on: May 9, 2022
Published by: Gheorghe Asachi Technical University of Iasi
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2022 Gabriel-Dumitru Tcaciuc, Ahmed Elgarayhi, Ana-Georgiana Lupu, Aristotel Popescu, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.