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 language | English |
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Pages (from-to) | 451-459 |
Number of pages | 9 |
Journal | Computational Mechanics |
Volume | 48 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2011 |
Keywords
- Closure model
- Fiber suspension
- Moment equation
- Reconstructed orientation distribution function