Simulation of linear polymer melts in transient complex flow

Wapperom, P;Keunings, Roland
(2000) Journal of Non-Newtonian Fluid Mechanics — Vol. 95, n° 1, p. 67-83 (2000)

Files

pdfdocument.pdf
  • Restricted Access
  • Adobe PDF
  • 459.25 KB
Request a copy

Details

Authors
  • Wapperom, P
    Author
  • Keunings, RolandUCLouvain
    Author
Abstract
Recently, much progress has been made in improving the modelling of linear polymer melts with the aid of reptation theory. In simple shear flows, this has resulted in a much better prediction of the shear viscosity and normal stress ratio. Here, we evaluate in complex flow the transient and steady-state behaviour of a recently proposed reptation model, the Marrucci-Greco-Ianniruberto model [G. Marrucci, F Greco, G. Ianniruberto, Rheol. Acta, 2000, submitted for publication], that includes convective constraint release and a force balance on the entanglement nodes. To incorporate integral type models into the numerical framework of Lagrangian particle methods, developed previously to simulate dilute polymer solutions, we have included the so-called deformation field method. For the contraction/expansion flow that we consider, we find that a correction of the convective constraint release contribution to the relaxation time is necessary to avoid the unphysical situation of negative relaxation times. With this correction, we could obtain mesh and time convergence for high Weissenberg numbers without adding any solvent viscosity. We find that in complex flow also, both the steady-state and transient response of the integral model can be very well approximated by a constitutive equation of differential type. Due to the dominance of the strong thinning in both shear and elongational flows for the model, however, the inelastic Carreau-Yasuda model reproduces the steady-state kinematics and pressure drop as well. (C) 2000 Elsevier Science B.V. All rights reserved.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Wapperom, P., & Keunings, R. (2000). Simulation of linear polymer melts in transient complex flow. Journal of Non-Newtonian Fluid Mechanics, 95(1), 67-83. https://doi.org/10.1016/S0377-0257(00)00165-8 (Original work published 2000)