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Variational Models in Fluid Mechanics
Book chapter

Variational Models in Fluid Mechanics

Sohrob Mottaghi, Rene Gabbai and Haym Benaroya
An Analytical Mechanics Framework for Flow-Oscillator Modeling of Vortex-Induced Bluff-Body Oscillations, pp.75-94
Solid Mechanics and Its Applications, Springer International Publishing
08/09/2019

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.

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