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Macroscopic Fiber Motion In A Polymeric Fluid Driven By A Four-roll Mill

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

  1. tulane:45966
  2. local: td005628
Identiferoai:union.ndltd.org:TULANE/oai:http://digitallibrary.tulane.edu/:tulane_45966
Date January 2015
ContributorsYang, Qiang (author), Fauci, Lisa (Thesis advisor), School of Science & Engineering Mathematics (Degree granting institution)
Source SetsTulane University
LanguageEnglish
Detected LanguageEnglish
TypeText
Formatelectronic
RightsNo embargo

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