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A three dimensional exact equation for the turbulent dissipation rate of Generalised Newtonian Fluids

A three dimensional exact equation for the turbulent dissipation rate of Generalised Newtonian Fluids
A three dimensional exact equation for the turbulent dissipation rate of Generalised Newtonian Fluids

The flow of non-Newtonian fluids is of interest in many biological and industrial applications, including nanofluids. Most of the papers of the literature on turbulent non-Newtonian fluids focused the attention on viscoelastic fluids. In order to make accurate and low cost prediction of turbulent inelastic non-Newtonian fluids, a RANS Generalised Newtonian Fluid (GNF) turbulence model, based on the exact equations for the turbulent variables, is required. In a previous paper of the same authors the exact equations for the turbulent kinetic energy and the dissipation rate have been derived in a two-dimensional (2D) domain, through the introduction of an apparent viscosity equation. The aim of the present paper is to extend the approach to a three-dimensional (3D) domain, giving the full mathematical demonstration of the exact equations.

Apparent viscosity, Generalised Newtonian Fluid, Nanofluids, Shear rate, Turbulent dissipation rate
0735-1933
477-485
Gori, Fabio
f7e76614-37d8-4c3b-b7b0-8c6603a4515f
Boghi, Andrea
54a72da6-c8a2-468c-9773-897efac0638f
Gori, Fabio
f7e76614-37d8-4c3b-b7b0-8c6603a4515f
Boghi, Andrea
54a72da6-c8a2-468c-9773-897efac0638f

Gori, Fabio and Boghi, Andrea (2012) A three dimensional exact equation for the turbulent dissipation rate of Generalised Newtonian Fluids. International Communications in Heat and Mass Transfer, 39 (4), 477-485. (doi:10.1016/j.icheatmasstransfer.2012.02.010).

Record type: Article

Abstract

The flow of non-Newtonian fluids is of interest in many biological and industrial applications, including nanofluids. Most of the papers of the literature on turbulent non-Newtonian fluids focused the attention on viscoelastic fluids. In order to make accurate and low cost prediction of turbulent inelastic non-Newtonian fluids, a RANS Generalised Newtonian Fluid (GNF) turbulence model, based on the exact equations for the turbulent variables, is required. In a previous paper of the same authors the exact equations for the turbulent kinetic energy and the dissipation rate have been derived in a two-dimensional (2D) domain, through the introduction of an apparent viscosity equation. The aim of the present paper is to extend the approach to a three-dimensional (3D) domain, giving the full mathematical demonstration of the exact equations.

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More information

e-pub ahead of print date: 8 March 2012
Published date: April 2012
Keywords: Apparent viscosity, Generalised Newtonian Fluid, Nanofluids, Shear rate, Turbulent dissipation rate

Identifiers

Local EPrints ID: 421753
URI: https://eprints.soton.ac.uk/id/eprint/421753
ISSN: 0735-1933
PURE UUID: f72345e1-bd63-40ad-9014-eb4ff2a65f74
ORCID for Andrea Boghi: ORCID iD orcid.org/0000-0002-9387-326X

Catalogue record

Date deposited: 26 Jun 2018 16:30
Last modified: 20 Jul 2019 01:33

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