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

Federico Califano; Ramy Rashad; Stefano Stramigioli

doi:10.48550/arXiv.2209.13216

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

Federico Califano, Ramy Rashad, Stefano Stramigioli

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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 specialisation to Fourier-Navier-Stokes fluids will be carried through.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2209.13216
Publication status	Published - 27 Sept 2022

Keywords

physics.flu-dyn

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10.48550/arXiv.2209.13216

2209.13216v1Final published version, 224 KB

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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., Oct 2022, In: Physics of fluids. 34, 10, 107113.
Research output: Contribution to journal › Article › Academic › peer-review

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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

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