Mechanics and thermodynamics: A link between the two theories

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.

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Publication Details

Journal
Applications in Engineering Science
Published
2026-01-21
DOI
https://doi.org/10.1016/j.apples.2026.100297
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
article
Field-Weighted Citation Impact
0.00
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article

Mechanics and thermodynamics: A link between the two theories

Henri Gouin
Applications in Engineering Science
Advanced Thermodynamics and Statistical Mechanics
article

Mechanics and thermodynamics: A link between the two theories

Henri Gouin
article en

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.

Applications in Engineering ScienceVol. 25
Centre National de la Recherche Scientifique (FR), Aix-Marseille Université (FR)
Affordable and clean energy
Openalex Percentile: Top 81%
Advanced Thermodynamics and Statistical Mechanics
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Mechanics and thermodynamics: A link between the two theories — Henri Gouin · Applications in Engineering Science (2026) | TGRS Research Map | TGRS