Variational Models in Fluid Mechanics

Sohrob Mottaghi, Rene Gabbai, Haym Benaroya

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter introduces a novel approach to the use of variational mechanics in the modeling of fluid mechanics. That is, Hamilton’s principle is used in conjunction with Reynolds transport theorem by McIver in a control volume framework for structures containing fluid. We continue by extending McIver’s ideas to structures that are surrounded by an incompressible fluid. Simple problems are given as example applications.

Original languageEnglish (US)
Title of host publicationSolid Mechanics and its Applications
PublisherSpringer Verlag
Pages75-94
Number of pages20
DOIs
Publication statusPublished - Jan 1 2020

Publication series

NameSolid Mechanics and its Applications
Volume260
ISSN (Print)0925-0042
ISSN (Electronic)2214-7764

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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). Variational Models in Fluid Mechanics. In Solid Mechanics and its Applications (pp. 75-94). (Solid Mechanics and its Applications; Vol. 260). Springer Verlag. https://doi.org/10.1007/978-3-030-26133-7_4