Eulerian and Lagrangian Descriptions

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter derives the relations between Eulerian and Lagrangian descriptions of displacement and velocity fields, relations between the time derivatives of system properties, variations, and introduces Jourdain’s variational principle. Jourdain’s principle is then applied to viscous incompressible fluids, and the derivation of the energy rate equation. These equations will be utilized in the subsequent chapter for the derivation of the flow-oscillator model for vortex-induced vibration.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Pages143-187
Number of pages45
DOIs
StatePublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
Volume260

Fingerprint

Vortex flow
Derivatives
Fluids

All Science Journal Classification (ASJC) codes

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

Cite this

Mottaghi, S., Gabbai, R., & Benaroya, H. (2020). Eulerian and Lagrangian Descriptions. In Solid Mechanics and its Applications (pp. 143-187). (Solid Mechanics and its Applications; Vol. 260). Springer Verlag. https://doi.org/10.1007/978-3-030-26133-7_6
Mottaghi, Sohrob ; Gabbai, Rene ; Benaroya, Haym. / Eulerian and Lagrangian Descriptions. Solid Mechanics and its Applications. Springer Verlag, 2020. pp. 143-187 (Solid Mechanics and its Applications).
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Mottaghi, S, Gabbai, R & Benaroya, H 2020, Eulerian and Lagrangian Descriptions. in Solid Mechanics and its Applications. Solid Mechanics and its Applications, vol. 260, Springer Verlag, pp. 143-187. https://doi.org/10.1007/978-3-030-26133-7_6

Eulerian and Lagrangian Descriptions. / Mottaghi, Sohrob; Gabbai, Rene; Benaroya, Haym.

Solid Mechanics and its Applications. Springer Verlag, 2020. p. 143-187 (Solid Mechanics and its Applications; Vol. 260).

Research output: Chapter in Book/Report/Conference proceedingChapter

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Mottaghi S, Gabbai R, Benaroya H. Eulerian and Lagrangian Descriptions. In Solid Mechanics and its Applications. Springer Verlag. 2020. p. 143-187. (Solid Mechanics and its Applications). https://doi.org/10.1007/978-3-030-26133-7_6