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

作者：Moosaie Amin^*; Le Duc Anne; Manhart Michael

来源：Computational Mechanics, 2011, 48(4): 451-459.

DOI：10.1007/s00466-011-0596-3

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

A closure model for flow-induced fiber orientation is proposed that is based on a reconstruction of the orientation distribution ODF). An a priori analysis by using Monte-Carlo simulation was performed. The main results are as follows. For strong rotary Brownian motion (low Peclet 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 Peclet numbers. At very high Peclet numbers and for non-Brownian fibers, the solution predicted by the proposed model deviates from the reference solution.

• 出版日期2011-10