We study the dynamics of an elastic fiber in a viscoelastic fluid driven by a four-roll mill. The viscoelasticity is modeled by the FENE-P model and the coupling between the fiber and the fluid is resolved by the immersed boundary method. Numerically, we follow Peskin's formally second order method to solve the fiber-fluid equations and square root method to solve the viscoelasticity equations. We examine the effect of Weissenberg number (Wi) and fiber rigidity on fiber motion and the evolution of polymer stress. We also investigate the ability of the fiber to escape closed streamlines in Newtonian fluids and viscoelastic fluids. We find that large polymer stresses occur near the ends of the fiber when it is compressed. In addition, we find that viscoelasticity hinders a fiber's ability to traverse multiple cells in the domain. / 1 / Qiang Yang
| Identifer | oai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_45966 |
| Date | January 2015 |
| Contributors | Yang, Qiang (author), Fauci, Lisa (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution) |
| Source Sets | Tulane University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | electronic |
| Rights | No embargo |
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