Mechanics and thermodynamics: A link between the two theories
Classical Physics
2026-02-26 v1
Abstract
In this note, we analyze the relationships that should govern the use of thermodynamics in fluid mechanics in a way that we believe is understandable to mathematicians. We also aim to better define the reasons why mechanics and thermodynamics must be correctly linked by showing that the principle of virtual work expressed using a specific internal energy is perfectly suited to fluid mechanics problems, provided that a well-chosen internal energy is proposed.
Cite
@article{arxiv.2602.21649,
title = {Mechanics and thermodynamics: A link between the two theories},
author = {Henri Gouin},
journal= {arXiv preprint arXiv:2602.21649},
year = {2026}
}