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

Authors

F. Califano, R. Rashad, S. Stramigioli

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.

Citation

• Journal: Physics of Fluids
• Year: 2022
• Volume: 34
• Issue: 10
• Pages:
• Publisher: AIP Publishing
• DOI: 10.1063/5.0119517

BibTeX

@article{Califano_2022,
  title={{A differential geometric description of thermodynamics in continuum mechanics with application to Fourier–Navier–Stokes fluids}},
  volume={34},
  ISSN={1089-7666},
  DOI={10.1063/5.0119517},
  number={10},
  journal={Physics of Fluids},
  publisher={AIP Publishing},
  author={Califano, F. and Rashad, R. and Stramigioli, S.},
  year={2022}
}

Download the bib file

References

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