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

Yunkyong Hyon, Qiang Du, Chun Liu

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 - Nov 6 2008

Fingerprint

Moment Closure
closures
Macros
Closure
moments
Polymers
Approximation
approximation
Spike
spikes
Probability distributions
Distribution functions
Energy dissipation
Momentum
Flow rate
Auxiliary equation
Fluids
Equilibrium Distribution
probability distribution functions
Probability Distribution Function

All Science Journal Classification (ASJC) codes

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

Cite this

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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.",
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An enhanced macroscopic closure approximation to the micro-macro fene model for polymeric materials. / Hyon, Yunkyong; Du, Qiang; Liu, Chun.

In: Multiscale Modeling and Simulation, Vol. 7, No. 2, 06.11.2008, p. 978-1002.

Research output: Contribution to journalArticle

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