A variational principle for dissipative fluid dynamics

Hiroki Fukagawa, Youhei Fujitani

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In the variational principle leading to the Euler equation for a perfect fluid, we can use the method of undetermined multiplier for holonomic constraints representing mass conservation and adiabatic condition. For a dissipative fluid, the latter condition is replaced by the constraint specifying how to dissipate. Noting that this constraint is nonholonomic, we can derive the balance equation of momentum for viscous and viscoelastic fluids by using a single variational principle. We can also derive the associated Hamiltonian formulation by regarding the velocity field as the input in the framework of control theory.

Original languageEnglish
Pages (from-to)921-935
Number of pages15
JournalProgress of Theoretical Physics
Volume127
Issue number5
DOIs
Publication statusPublished - 2012 May

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fluid dynamics
variational principles
fluids
adiabatic conditions
control theory
multipliers
viscous fluids
conservation
velocity distribution
momentum
formulations

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

A variational principle for dissipative fluid dynamics. / Fukagawa, Hiroki; Fujitani, Youhei.

In: Progress of Theoretical Physics, Vol. 127, No. 5, 05.2012, p. 921-935.

Research output: Contribution to journalArticle

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