An enhanced macroscopic closure approximation to the micro-macro fene model for polymeric materials

Yunkyong Hyon, Qiang Du, Chun Liu

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We present an enhanced moment-closure approximation to the finite extensible nonlinear elastic (FENE) models of polymeric fluids. This new moment-closure method involves the perturbation of the equilibrium probability distribution function (PDF), which takes into account of the drastic split into two spikes and centralized behavior under the large macroscopic flow effects. The resulting macroscopic system includes the moment-closure equations, the momentum (force balance) equations, as well as an auxiliary equation representing implicitly the dynamics of the spikes for the microscopic configurations. It also inherits the energy dissipation law from the original micromacro models. Through numerical experiments, we demonstrate the accuracy and robustness of the moment-closure system for some special external flow with a wide range of flow rates.

Original languageEnglish (US)
Pages (from-to)978-1002
Number of pages25
JournalMultiscale Modeling and Simulation
Volume7
Issue number2
DOIs
StatePublished - 2008

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Modeling and Simulation
  • Ecological Modeling
  • Physics and Astronomy(all)
  • Computer Science Applications

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