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

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)...

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Bibliographic Details
Published in:Computational mechanics 2011-10, Vol.48 (4), p.451-459
Main Authors: Moosaie, Amin, Le Duc, Anne, Manhart, Michael
Format: Article
Language:English
Subjects:
Analysis
Brownian motion
Classical and Continuum Physics
Computational Science and Engineering
Computer simulation
Distribution functions
Engineering
Fiber orientation
Fibers
Mathematical models
Model accuracy
Monte Carlo method
Monte Carlo simulation
Orientation
Original Paper
Peclet number
Reconstruction
Theoretical and Applied Mechanics
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Summary: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.
ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-011-0596-3