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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.

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Federico Califano, Ramy Rashad, Stefano Stramigioli. 2022-09-27. A differential geometric description of thermodynamics in continuum mechanics with application to Fourier-Navier-Stokes fluids. https://doi.org/10.1063/5.0119517

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