Subcritical bifurcation of a rotating elastic filament in a viscous fluid by the immersed boundary method

Sookkyung Lim, Charles S. Peskin

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

A bifurcation occurs when an elastic filament rotates in a viscous fluid at frequency co (bifurcation parameter). We use the immersed boundary (IB) method to study the interaction between the elastic filament and the surrounding viscous fluid as governed by the incompressible Navier-Stokes equations, and to determine the nature of the bifurcation, which turns out to be subcritical.

Original languageEnglish (US)
Title of host publicationComputational Fluid and Solid Mechanics 2003
PublisherElsevier Inc.
Pages1409-1412
Number of pages4
ISBN (Electronic)9780080529479
ISBN (Print)9780080440460
DOIs
StatePublished - Jun 2 2003

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Keywords

  • Bifurcation
  • Elastic filament
  • Immersed boundary method
  • Navier-Stokes equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Lim, S., & Peskin, C. S. (2003). Subcritical bifurcation of a rotating elastic filament in a viscous fluid by the immersed boundary method. In Computational Fluid and Solid Mechanics 2003 (pp. 1409-1412). Elsevier Inc.. https://doi.org/10.1016/B978-008044046-0.50345-6