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Nonmonotonic constitutive laws and the formation of shear-banded flows

Spenley, N A; Yuan, X F; Cates, M E

Journal de Physique II. 1996;6(4):551-71.

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Abstract

We consider constitutive models of viscoelastic behavior which predict a shear stress which is a nonmonotonic function of the shear rate. It is known that a homogeneous shear flow is unstable when the shear stress decreases with shear rate. We use a novel simulation technique (the Lagrangian-Eulerian method for the fluid dynamics combined with Ottinger's stochastic method for the constitutive equation) to solve one- and two-dimensional models of plane Couette flow for an integral constitutive equation describing entangled wormlike micelles. These results are compared with those of a 'toy' model (with a different constitutive equation). We show that the steady state actually consists of bands of different shear rate,. Such a flow is strongly inhomogeneous, and our preliminary results indicate that the constitutive equation must be modified to allow for spatial variations in the viscoelastic stress. [on SciFinder(R)]

Bibliographic metadata

Type of resource:
Content type:
Publication type:
Publication form:
Published date:
Journal title:
Volume:
6
Issue:
4
Start page:
551
End page:
71
Pagination:
551-71
ISI Accession Number:
AN 1996:193501
General notes:
  • CAN 124:242665 65-1 General Physical Chemistry Journal 1155-4312 written in English
Access state:
Active

Institutional metadata

University researcher(s):

Record metadata

Manchester eScholar ID:
uk-ac-man-scw:68639
Created by:
Ganeshwaran, Nilani
Created:
23rd October, 2009, 12:50:01
Last modified by:
Yuan, Xue-Feng
Last modified:
25th July, 2015, 12:05:03

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