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Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability
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SYSNO ASEP 0573629 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability Title The connection between the principle of the least action and the thermodynamic condition of stability Author(s) Maršík, František (UT-L) RID, ORCID
Trávníček, Zdeněk (UT-L) RID, ORCID
Antošová, Zuzana (UT-L) ORCID, RIDNumber of authors 3 Source Title Engineering Mechanics 2023 : 29th International Conference, 29. - Prague : Institute of Thermomechanics of the Czech Academy of Sciences, 2023 / Radolf V. ; Zolotarev I. - ISSN 1805-8248 - ISBN 978-80-87012-84-0 Pages s. 159-162 Number of pages 4 s. Publication form Print - P Action Engineering Mechanics 2023 /29./ Event date 09.05.2023 - 11.05.2023 VEvent location Milovy Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords principle of the least action ; thermodynamic stability condition ; annular swirl flow Subject RIV BJ - Thermodynamics OECD category Thermodynamics R&D Projects GC21-26232J GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 Annotation The extended principle is formulated for a material point (M.P.) X, which has nonzero mass, temperature, and trajectory x(X,t). The Lagrangian of this variation principle is equal to the kinetic energy from which, the internal energy of the material point (which depends on the entropy) and the additional energy caused by the frictional force are subtracted. The relation between the inertial force and the entropy gradient is found and the gravitational force is completely replaced by the entropy gradient. Thanks to the mentioned properties of the total enthalpy, the Thermodynamic criterion of stability of the state of M.P., is formulated. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2024 Electronic address https://www.engmech.cz/improc/2023/159.pdf
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