Dynamics of a mechanical interface in shear-banded flow

X. F. Yuan

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Shear banding of wormlike micelle solution has been studied in the context of constitutive instability of the Johnson-Segalman (JS) model plus Newtonian stress. We have incorporated a higher-order gradient term of the deformation-rate tensor into the JS model for investigating the dynamics of a mechanical interface in shear-banded flow. Two-dimensional modelling of the new model has been carried out by a general Lagrangian-Eulerian scheme. Within the unstable region, our results show that the new term plays an important role in selecting steady-state shear stress and the selected stress is independent of the nominal shear rate. The transit period of reaching the steady state can be much longer than the intrinsic relaxation time of the JS fluid. We have verified the experimental evidence on the existence of mechanical metastable regime, over which hysteresis in flow curve might occur. The model captures many features of experimental results on shear banded flow.
    Original languageEnglish
    Pages (from-to)542-548
    Number of pages6
    JournalEPL
    Volume46
    Issue number4
    DOIs
    Publication statusPublished - 15 May 1999

    Keywords

    • Hysteresis (exptl. evidence on existence of mech. metastable regime, over which hysteresis in flow curve might occur in shear-banded flow)
    • Shear stress (role of higher-order gradient term of deformation-rate tensor in selecting steady-state shear stress in shear-banded flow)
    • Micelles (shear banding of wormlike micelle soln.)
    • Flow (shear
    • dynamics of mech. interface in shear-banded flow)
    • mech interface dynamics shear banded flow model
    • wormlike micelle shear banding model
    • deformation rate tensor steady state shear stress

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