An Algebraic Non-equilibrium Turbulence Model of the High Reynolds Number Transition Region

Nils Tångefjord Basse

doi:10.20944/preprints202308.1251.v1

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preprints.org > physical sciences > fluids and plasmas physics > doi: 10.20944/preprints202308.1251.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

An Algebraic Non-equilibrium Turbulence Model of the High Reynolds Number Transition Region

Nils Tångefjord Basse

Version 1 : Received: 15 August 2023 / Approved: 17 August 2023 / Online: 17 August 2023 (07:20:04 CEST)
Version 2 : Received: 1 September 2023 / Approved: 4 September 2023 / Online: 5 September 2023 (05:09:40 CEST)

A peer-reviewed article of this Preprint also exists.

Basse, N.T. An Algebraic Non-Equilibrium Turbulence Model of the High Reynolds Number Transition Region. Water 2023, 15, 3234. Basse, N.T. An Algebraic Non-Equilibrium Turbulence Model of the High Reynolds Number Transition Region. Water 2023, 15, 3234.

Abstract

We present a mixing length based algebraic turbulence model calibrated to pipe flow; the main purpose of the model is to capture the increasing turbulence production-to-dissipation ratio observed in connection with the high Reynolds number transition region. The model includes the mixing length description by Gersten and Herwig which takes the observed variation of the von Kármán number with Reynolds number into account. Pipe wall roughness effects are included in the model. Results are presented for area-averaged (integral) quantities which can be used both as a self-contained model and as initial inlet boundary conditions for computational fluid dynamics simulations.

Keywords

algebraic turbulence model; non-equilibrium flow; mixing length; high Reynolds number transition region

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.

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