A priori analysis of a closure model using the reconstruction of the orientation distribution function in flow of fiber suspensions

Amin Moosaie, Anne Le Duc, Michael Manhart

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

A closure model for flow-induced fiber orientation is proposed that is based on a reconstruction of the orientation distribution function (ODF). An a priori analysis by using Monte-Carlo simulation was performed. The main results are as follows. For strong rotary Brownian motion (low Péclet numbers), the model performs well even by using only the second moment to reconstruct the ODF. By considering the fourth moment in the reconstruction procedure, the accuracy of the model is improved and the model is applicable to higher Péclet numbers. At very high Péclet numbers and for non-Brownian fibers, the solution predicted by the proposed model deviates from the reference solution.

Original languageEnglish
Pages (from-to)451-459
Number of pages9
JournalComputational Mechanics
Volume48
Issue number4
DOIs
StatePublished - Oct 2011

Keywords

  • Closure model
  • Fiber suspension
  • Moment equation
  • Reconstructed orientation distribution function

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