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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)]
Keyword(s)
Flow; Flow (Couette, nonmonotonic constitutive laws and formation of shear-banded flows); Shear; Stochastic process; Viscoelasticity (nonmonotonic constitutive laws and formation of shear-banded flows); nonmonotonic constitutive law shear banded flow
Bibliographic metadata
- CAN 124:242665 65-1 General Physical Chemistry Journal 1155-4312 written in English