Shear banding and secondary flow in viscoelastic fluids between a cone and plate
type: Item
instance of: scholarly article
title: Shear banding and secondary flow in viscoelastic fluids between a cone and plate
zbMATH Open document ID: 0994.76009
DOI: 10.1016/S0377-0257(00)00173-7
author: Satish Kumar
author: Ronald G. Larson
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 2002-10-07T00:00:00Z
review text: This work examines the effects of shear banding on secondary flow of elastic fluid between a cone and a plate. It was motivated by NMR microscopy images depicting shear banding of a surfactant solution in a cone-and-plate rheometer. More precisely, the secondary flow is determined in the cone-and-plate geometry assuming that the rheology in each band is described by Oldroyd-B constitutive equations with different elasticity and viscosity coefficients. Flows with two and three bands are considered. The mathematical approach is to rescale the equations and apply regular perturbation theory assuming that the cone angle is small. In the two-band case it is found that, as the elasticity of the lower band increases relative to the upper, the secondary flow weakens and reverses direction. With respect to viscosity, the secondary flow tends to weaken and become more localized in the less viscous band. For the three-band case it seems that the strength of the secondary flow is controlled by the average elasticity of the bands. These results are then analyzed by the authors particularly within the context of recent studies on stress selection in shear-banding fluids. Comments are also made on possible effects of replacing the infinite cone-and-plate system by a finite system with a free surface. This is a well-written paper with seemingly interesting results, which must now be validated by experiments.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76M45
zbMATH DE Number: 1556247
zbMATH Keywords: viscoelastic fluids
zbMATH Keywords: secondary flow
zbMATH Keywords: shear banding
zbMATH Keywords: cone-and-plate rheometer
zbMATH Keywords: Oldroyd-B constitutive equation
zbMATH Keywords: regular perturbation theory
zbMATH Keywords: two-band case
zbMATH Keywords: three-band case
zbMATH Keywords: average elasticity
zbMATH Keywords: stress selection
reviewed by: H. Ramkissoon
MaRDI profile type: Publication
full work available at URL: s0377-0257(00)00173-7
OpenAlex ID: W1976372404
description: scientific article; zbMATH DE number 1556247