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

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• 作者：Fabio Gori^a ; ^{fammannati@yahoo.com} ; Andrea Boghi^b
• 关键词：Turbulent dissipation rate ; Shear rate ; Generalised Newtonian Fluid ; Apparent viscosity ; Nanofluids
• 刊名：International Communications in Heat and Mass Transfer
• 出版年：2012
• 期刊代码：74_07351933
• 类别：et
• 出版时间：April, 2012
• 卷：39
• 期：4
• 页码：477-485
• 文件大小：258 K

摘要

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.