The nonlinear dynamics of elastic tubes conveying a fluid

Matthew A. Beauregard, Alain Goriely, Michael Tabor

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

The Kirchhoff equations for elastic tubes are modified to include the effect of fluid flow. Using the techniques of linear and nonlinear analysis specially developed for the Kirchhoff equations, the effect of the fluid flow on the basic twist-to-writhe instability is investigated. The results suggest an intriguing modification of the bifurcation threshold due to the flow. Beyond threshold the buckled tube acquires a slight curvature which modifies the flow rate and results in a correction to nonlinearity of the amplitude equation governing the deformation dynamics.

Original languageEnglish (US)
Pages (from-to)161-168
Number of pages8
JournalInternational Journal of Solids and Structures
Volume47
Issue number1
DOIs
Publication statusPublished - Jan 1 2010

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Keywords

  • Dean number
  • Dynamical instabilities
  • Elastic tubes
  • Kirchhoff equations
  • Pipe flow

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Applied Mathematics
  • Modeling and Simulation

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