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

Federico Califano; Ramy Rashad; Stefano Stramigioli

doi:10.1063/5.0119517

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

Federico Califano^*, Ramy Rashad, Stefano Stramigioli

^*Corresponding author for this work

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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
Early online date	26 Oct 2022
DOIs	https://doi.org/10.1063/5.0119517
Publication status	Published - Oct 2022

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10.1063/5.0119517

ArticleFinal published version, 739 KBLicence: Taverne

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A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids
Califano, F., Rashad, R. & Stramigioli, S., 27 Sept 2022, ArXiv.org.
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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

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

Cite this