Nonmonotonic constitutive laws and the formation of shear-banded flows

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

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider constitutive models of viscoelastic behaviour 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 Öttinger'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. The results are compared with those of a 'toy' model (with a differential 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. © Les Éditions de Physique 1996.
    Original languageEnglish
    Pages (from-to)551-571
    Number of pages20
    JournalJournal de Physique II
    Volume6
    Issue number4
    Publication statusPublished - Apr 1996

    Keywords

    • Flow
    • Shear
    • Stochastic process
    • Viscoelasticity (nonmonotonic constitutive laws and formation of shear-banded flows)
    • Flow (Couette, nonmonotonic constitutive laws and formation of shear-banded flows)
    • nonmonotonic constitutive law shear banded flow

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