Computational studies of the FENE dumbbell model with conformation-dependent friction in a co-rotating two-roll mill

P. Singh, L. G. Leal

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

The flow of a viscoelastic fluid in a co-rotating two-roll mill is studied using a modified Chilcott-Rallison constitutive model, which includes the Hinch-DeGennes formulation of a conformation-dependent friction coefficient. One well known feature of this model, for homogeneous flows, is that there is a hysteresis loop in the dependence of the steady-state configuration on the strain-rate. However, for inhomogeneous flows, at finite polymer concentrations, there is a strong coupling between the velocity and configuration fields, which is shown by present calculations to mask the hysteresis loop, and the associated non-uniqueness of the steady-state configuration. This is a consequence of the reduction in extensional strength of the velocity field with increasing polymeric contribution to the stress field. For small polymer concentrations the transition from the coiled-state to the stretched-state is abrupt in time and the transitional Deborah number range is relatively narrow. However, with increasing polymer concentration, both the time taken to reach the steady-state and the transitional Deborah number range increase significantly. For relatively large values of c, L and De a birefringent pipe-like structure emerges along the outflow axis of the two-roll mill. This and the overall spatial distribution of the configuration qualitatively agree with birefringence photographs for real polymeric liquids.

Original languageEnglish (US)
Pages (from-to)137-178
Number of pages42
JournalJournal of Non-Newtonian Fluid Mechanics
Volume67
Issue number1-3
DOIs
StatePublished - Nov 1996
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Chemical Engineering(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Keywords

  • Co-rotating two-roll mill
  • Conformation-dependent friction
  • FENE dumbbell model

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