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2013 Direct Numerical Simulation of Concentration and Orientation Distribution of Fibers in a Mixing Layer
Kun Zhou, Wei Yang, Zhu He, Ming Xiao
Abstr. Appl. Anal. 2013(SI35): 1-8 (2013). DOI: 10.1155/2013/845872


The concentration and orientation of suspended fibers in a mixing layer are investigated numerically. Two cases (diffusive and nondiffusive) are investigated for the fiber concentration distribution. The fine structures of the instantaneous distributions under these two cases are very different due to molecular diffusion. Sharp front of concentration is observed in the nondiffusive case. However, there is no obvious difference in the mean concentration between the two cases. With regard to the orientation, a fiber may rotate periodically or approach an asymptotic orientation, which is determined by a determinant defined with the stain rate. The symmetric part of the strain rate tends to make a fiber align to an asymptotic orientation, while the antisymmetric part drives a fiber to rotate. When a fluid parcel passes through a region with relatively high shear rate, fibers carried by the fluid parcel are most likely to rotate incessantly. On the other hand, in the region of relatively high extension rate, fibers tend to align to some asymptotic orientation. Generally, fibers tend to align with the shear plane. This fact has significant implications in predicting the rheological properties of fiber suspension flows.


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Kun Zhou. Wei Yang. Zhu He. Ming Xiao. "Direct Numerical Simulation of Concentration and Orientation Distribution of Fibers in a Mixing Layer." Abstr. Appl. Anal. 2013 (SI35) 1 - 8, 2013.


Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095423
MathSciNet: MR3129337
Digital Object Identifier: 10.1155/2013/845872

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI35 • 2013
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