A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids

F. Califano; R. Rashad; S. Stramigioli

doi:10.1063/5.0119517

A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids

F. Califano^*
, R. Rashad
, S. Stramigioli

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical tools that are needed to formulate the relevant conservation laws is given. Second, following an axiomatic approach, the two thermodynamic principles will be described, leading to a consistent description of entropy creation mechanisms on manifolds. Third, a specialization to Fourier-Navier-Stokes fluids will be carried through.

Original language	English
Article number	107113
Journal	Physics of Fluids
Volume	34
Issue number	10
DOIs	https://doi.org/10.1063/5.0119517
State	Published - 1 Oct 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 Author(s).

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/5.0119517

Cite this

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AB - A description of thermodynamics for continuum mechanical systems is presented in the coordinate-free language of exterior calculus. First, a careful description of the mathematical tools that are needed to formulate the relevant conservation laws is given. Second, following an axiomatic approach, the two thermodynamic principles will be described, leading to a consistent description of entropy creation mechanisms on manifolds. Third, a specialization to Fourier-Navier-Stokes fluids will be carried through.

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A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids

Abstract

Bibliographical note

ASJC Scopus subject areas

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