Eulerian Flow-Oscillator Models

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter


We apply the Eulerian formulations of the last chapter to derive a general variational formulation of a flow-oscillator modeling framework. A brief review of the application of variational principles to fluid–structure interactions is given. A summary is provided of Jourdain’s principle for fluid systems. Boundary conditions are discussed, in particular the no-slip condition and its interpretations. The control volume is expanded upon. Fluid–structure interaction is then modeled in two ways: (i) as a single governing equation of motion for a translating cylinder and for an inverted pendulum, and (ii) as coupled equations of motion utilizing the concept of a wake oscillator. For the wake oscillator, the no-slip condition is further examined and implemented. Experimental data is used to derive a more specific reduced-order model that can be compared with some of the models found in the literature: McIver, Benaroya and Wei, and Hartlen and Currie. A primary conclusion is that the derived framework is an excellent basis for the development of flow-oscillator models, where assumptions are explicitly identified.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Number of pages52
Publication statusPublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
ISSN (Print)0925-0042
ISSN (Electronic)2214-7764


All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Acoustics and Ultrasonics
  • Mechanical Engineering

Cite this

Mottaghi, S., Gabbai, R., & Benaroya, H. (2020). Eulerian Flow-Oscillator Models. In Solid Mechanics and its Applications (pp. 189-240). (Solid Mechanics and its Applications; Vol. 260). Springer Verlag.