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

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
157 Downloads (Pure)

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 languageEnglish
Article number107113
JournalPhysics of fluids
Volume34
Issue number10
Early online date26 Oct 2022
DOIs
Publication statusPublished - Oct 2022

Keywords

  • UT-Hybrid-D

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