LAPSE:2023.15125
Published Article
LAPSE:2023.15125
Duhem and Natanson: Two Mathematical Approaches to Thermodynamics
March 2, 2023
Abstract
In this article, the previously unrecognized contributions of Pierre Duhem and Ladislavus Natanson in thermodynamics are shown. The mathematical remodelling of a few of their principal ideas is taken into consideration, despite being neglected in the literature. To emphasize these ideas in an appropriate epistemological order, it would be crucial to first revalue and reconstruct some underrepresented parts of the proceedings process through which Duhem and Natanson created their thermodynamics. Duhem and Natanson’s scientific works are against the background of modern continuum mechanics, presenting relevant approaches. In line with the long-held beliefs of many French and Polish researchers, the article mentions that Duhem and Natanson’s ideas dated back to one century ago. Both scientists were qualified in the same Royal Way, which in this case includes chemistry, mechanic of fluid and solid, electro-chemistry, thermodynamics, electrodynamics, and relativistic and quantum mechanics. Therefore, it is possible to connect and then compare the results of their conceptions and approaches. Duhem and Natanson are both in firm opposition with Newtonian mechanisms. Thus, the Maupertuis least action principle created the ground for their efforts, in which they flourished as an elementary quantum.
Keywords
co-rotational time derivative, Duhem inequality, logical structure of the extended thermodynamics, Maxwell−Natanson un-objectivity, Natanson’s fundamental equation, non-linear evolution equations, nonlocal thermodynamics of Navier−Stokes−Fourier fluid, objective thermodynamics, thermo-chemistry thermodynamics of hidden parameters, Zaremba relativity
Suggested Citation
Badur J, Feidt M, Ziółkowski P. Duhem and Natanson: Two Mathematical Approaches to Thermodynamics. (2023). LAPSE:2023.15125
Author Affiliations
Badur J: Energy Conversion Department, Institute of Fluid Flow Machinery, Polish Academy of Science, Fiszera 14, 80-231 Gdańsk, Poland
Feidt M: Laboratory of Energetics & Theoretical & Applied Mechanics, University of Lorraine, 2 Avenue de la Forêt de Haye, 54518 Vandœuvre-lès-Nancy, France [ORCID]
Ziółkowski P: Faculty of Mechanical Engineering and Ship Technology, Institute of Energy, Gdańsk University of Technology, Narutowicza 11/12, 80-233 Gdańsk, Poland [ORCID]
Journal Name
Energies
Volume
15
Issue
5
First Page
1881
Year
2022
Publication Date
2022-03-03
ISSN
1996-1073
Version Comments
Original Submission
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PII: en15051881, Publication Type: Journal Article
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LAPSE:2023.15125
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https://doi.org/10.3390/en15051881
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