Study of whirling instability
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open in viewerWe study the behavior of a Kirchhoff rod with intrinsic bend and twist immersed in a viscous, incompressible fluid at zero Reynolds number. A model developed by Sookkyung Lim on open free elastic rod was first analyzed and then extended to study the instability of a tethered elastic rod with a straight and helical configuration in various conditions. Then we explore the behavior of the rod in a loaded and unloaded condition prescribed with a time and spatially dependent curvature and twist. Numerical simulations are presented to show the results and insights gained into the instability of a Kirchhoff rod in Stokes flow. Results are discussed in connection with motion of filamentous structures in biological contexts.
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- Creator
- Publisher
- Identifier
- E-project-042414-133413
- Advisor
- Year
- 2014
- Date created
- 2014-04-24
- Resource type
- Major
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