Preprint Article Version 3 Preserved in Portico This version is not peer-reviewed

Turbulent Poiseuille Flow Modelling by an Modified Prandtl-van Driest Mixing Length

Version 1 : Received: 15 January 2022 / Approved: 17 January 2022 / Online: 17 January 2022 (15:31:50 CET)
Version 2 : 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)

A peer-reviewed article of this Preprint also exists.

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

Comments (1)

Comment 1
Received: 14 December 2022
Commenter: Bohua Sun
Commenter's Conflict of Interests: Author
Comment: Redraw all figures, correct some equations and remove some contents
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