<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Comparison Between Prandtl’s Mixing Length Model and DNS Data for a Channel Flow Up to Re<sub>τ</sub> ≈ 5200

gabriel-dumitru.tcaciuc@academic.tuiasi.ro

“Gheorghe Asachi” Technical University of Iaşi

Bulletin of the Polytechnic Institute of Iași. Machine constructions Section

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

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...

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

Publié en ligne: 09 mai 2022

Pages: 99 - 107

Reçu: 24 mars 2022

Accepté: 31 mars 2022

DOI: https://doi.org/10.2478/bipcm-2022-0008

Mots clés
turbulent flow, channel flow, mixing length

© 2022 Gabriel-Dumitru Tcaciuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Publié en ligne: 09 mai 2022

Pages: 99 - 107

Reçu: 24 mars 2022

Accepté: 31 mars 2022

DOI: https://doi.org/10.2478/bipcm-2022-0008

Mots clésturbulent flow, channel flow, mixing length

© 2022 Gabriel-Dumitru Tcaciuc et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Mots clés
turbulent flow, channel flow, mixing length