Interfacial dynamics of viscoelastic fluid flows

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Abstract

The constitutive instability of the Johnson-Segalman (JS) model has been studied in order to understand the shear banding and the spurt effect of viscoelastic fluid flows. A new model which incorporates a higher order gradient term of the deformation-rate tensor into the JS model is applied to investigate the dynamics of the mech. interface induced by the constitutive instability. Computer modeling of two-dimensional Couette and Poiseuille flows has been carried out by a general Lagrangian-Eulerian scheme. It can track explicitly the evolution of the band structure under flow. Our results show that the new term plays an important role in selecting the steady state shear stress in the unstable region. The period of reaching the steady state can be 20 or more times longer than the intrinsic relaxation time of the JS fluid. We have verified exptl. evidences on the existence of a mech. metastable region, over which hysteresis in the flow curve might occur. The model reproduces many features of the exptl. results. [on SciFinder(R)]

Keyword(s)

Couette flow computer modeling; Flow (Couette; Flow (Poiseuille; Lagrangian Eulerian scheme flow modeling; Poiseuille flow computer modeling; Simulation and Modeling (computer modeling of interfacial dynamics of Couette and Poiseuille flows) ; Viscoelastic materials (liq.; computer modeling of interfacial dynamics of Couette flow); computer modeling of interfacial dynamics of Poiseuille flow); computer modeling of interfacial dynamics of viscoelastic fluid flows); viscoelastic fluid flow interfacial dynamics modeling

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