Flow-driven orientation dynamics of semiflexible fiber systems |
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Authors: | Uldis Strautins Arnulf Latz |
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Institution: | (1) Fraunhofer Institut für Techno- und Wirtschaftsmathematik, 67655 Kaiserslautern, Germany |
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Abstract: | We study the flow-induced orientation dynamics of semiflexible fibers in dilute fiber suspensions. Starting from the equations
of motion for a two-rod model of flexible fibers in Stokes flow, the Smoluchowski equation for a connected monomer orientation
distribution function is derived. We then obtain a set of equations for the time dependence of the first and second moments
of the orientation distribution function, thus extending the Folgar Tucker equations for short rigid fiber suspensions to
flexible fiber suspensions. The resulting generalized equations for the orientation dynamics of a suspension of flexible fibers
are solved for simple channel flow. It is shown that all qualitative effects of bending and straightening of fibers and their
influence on the orientation of flexible fibers are captured within our model. A scalar measure for the distribution of bending
in a flow is introduced, which allows to detect the degree of bending of fibers.
Paper was presented at the 3rd Annual Rheology Conference, AERC 2006, April 27–29, 2006, Crete, Greece. |
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