The nonlinear dynamics of elastic tubes conveying a fluid

Matthew A. Beauregard, Alain Goriely, Michael Tabor

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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
Issue number1
StatePublished - Jan 1 2010


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

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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