Closed‐form solution for the orientation field in a center‐gated disk
作者:
M. Cengiz Altan,
Bharath N. Rao,
期刊:
Journal of Rheology
(AIP Available online 1995)
卷期:
Volume 39,
issue 3
页码: 581-599
ISSN:0148-6055
年代: 1995
DOI:10.1122/1.550714
出版商: The Society of Rheology
关键词: SUSPENSIONS;FIBERS;DISKS;STEADY FLOW;ORIENTATION;MOLDING;MICROSTRUCTURE
数据来源: AIP
摘要:
The orientation field induced by the steady, radially diverging, Newtonian flow between flat, parallel disks is studied. Exact solution for the three‐dimensional rotation of a rigid, hydrodynamically isolated, neutrally buoyant, non‐Brownian, slender particle is developed throughout the flow domain from an Eulerian viewpoint. Hence, a closed‐form expression is obtained for the orientation distribution, which represents the accurate spatial characterization of the orientation field. In addition, the accuracy of the closure approximations used in complex suspension flow simulations is investigated. Both hybrid and quadratic closure approximations are found to yield considerably inaccurate results, including incorrect asymptotic behavior. The exact solution indicates a stable skin‐core orientation structure at large distances from the inlet, which is also confirmed by the available experimental data.
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