Aspects of the thermodynamic stability of fibre suspension flows
type: Item
instance of: scholarly article
title: Aspects of the thermodynamic stability of fibre suspension flows
zbMATH Open document ID: 1029.76024
DOI: 10.1016/S0377-0257(00)00092-6
author: K. J. Diatezua
author: Justin Manango W. Munganga
author: B. D. Reddy
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 2004-02-03T00:00:00Z
review text: The authors study the conditions under which the constitutive equations for fibre suspension flows are consistent with the second law of thermodynamics, and under which such flows are stable in the energetic sense. The model uses orientation tensors in the context of the following closure approximations: linear and quadratic closures, a rule due to Hinch and Leal, the smooth orthotropic closure rule of Cintra and Tucker, and the natural closure of Verleye and Dupret. It is shown that, with the linear closure approximations, the constitutive equations are consistent with the second law, and the flows are monotonically stable, provided the particle number does not exceed 35/2. The quadratic and natural closures are consistent and stable in two-dimensional case. The stability of Hinch-Leal closure cannot be established for arbitrary flows, whereas the rule of Cintra and Tucker is shown not to be consistent with the second law for arbitrary flows.
reviewed by: Rémi Vaillancourt
Mathematics Subject Classification ID: 76E99
Mathematics Subject Classification ID: 76T20
zbMATH DE Number: 1526461
zbMATH Keywords: fibre suspension
zbMATH Keywords: thermodynamic stability
zbMATH Keywords: constitutive equations
zbMATH Keywords: second law of thermodynamics
zbMATH Keywords: orientation tensors
zbMATH Keywords: linear closure
zbMATH Keywords: Hinch-Leal closure
zbMATH Keywords: Cintra-Tucker closure
zbMATH Keywords: Verleye-Dupret closure
zbMATH Keywords: quadratic closure
MaRDI profile type: Publication
full work available at URL: s0377-0257(00)00092-6
OpenAlex ID: W2015019571
description: scientific article; zbMATH DE number 1526461