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: Received: 26 January 2022 / Approved: 27 January 2022 / Online: 27 January 2022 (12:36:58 CET)
Version 3
: Received: 13 December 2022 / Approved: 14 December 2022 / Online: 14 December 2022 (11:10:32 CET)
Sun, BH. Turbulent Poiseuille flow modeling by modified Prandtl-van Driest mixing length. Acta Mech. Sin. 39, 322066 (2023). https://doi.org/10.1007/s10409-022-22066-x
Sun, BH. Turbulent Poiseuille flow modeling by modified Prandtl-van Driest mixing length. Acta Mech. Sin. 39, 322066 (2023). https://doi.org/10.1007/s10409-022-22066-x
Sun, BH. Turbulent Poiseuille flow modeling by modified Prandtl-van Driest mixing length. Acta Mech. Sin. 39, 322066 (2023). https://doi.org/10.1007/s10409-022-22066-x
Sun, BH. Turbulent Poiseuille flow modeling by modified Prandtl-van Driest mixing length. Acta Mech. Sin. 39, 322066 (2023). https://doi.org/10.1007/s10409-022-22066-x
Abstract
The turbulent Poiseuille flow between two parallel plates is one of the simplest possible physical situations, and it has been studied intensively. In this paper, we propose a modified Prandtl-van Driest mixing length that satisfies both boundary conditions and wall damping effects. With our new formulations, we numerically solve the problem and, moreover, propose an approximate analytical solution of mean velocity. As applications of our solution, an approximate analytical friction coefficient of turbulent Poiseuille flow is proposed.
Keywords
Turbulent flow; Poiseuille flow; Prandtl mixing length; high heels velocity profile; Reynolds number
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author