Proposal of damping function for low-Reynolds-number \(k-\varepsilon\) model applicable in prediction of turbulent viscoelastic-fluid flow
type: Item
instance of: scholarly article
title: Proposal of damping function for low-Reynolds-number \(k-\varepsilon\) model applicable in prediction of turbulent viscoelastic-fluid flow
zbMATH Open document ID: 1397.76050
DOI: 10.1155/2013/197628
author: Takahiro Tsukahara
author: Yasuo Kawaguchi
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: A low-Reynolds-number \(k- \varepsilon\) model applicable for viscoelastic fluid was proposed to predict the frictional-drag reduction and the turbulence modification in a wall-bounded turbulent flow. In this model, an additional damping function was introduced into the model of eddy viscosity, while the treatment of the turbulent kinetic energy \((k)\) and its dissipation rate \((\varepsilon)\) is an extension of the model for Newtonian fluids. For constructing the damping function, we considered the influence of viscoelasticity on the turbulent eddy motion and its dissipative scale and investigated the frequency response for the constitutive equation based on the Giesekus fluid model. Assessment of the proposed model's performance in several rheological conditions for drag-reduced turbulent channel flows demonstrated good agreement with DNS (direct numerical simulation) data.
Mathematics Subject Classification ID: 76F60
zbMATH DE Number: 6950553
Wikidata QID: Q59002079
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/197628
OpenAlex ID: W2039648489
description: scientific article; zbMATH DE number 6950553