Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability

0573629 - ÚT 2024 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
Maršík, František - Trávníček, Zdeněk - Antošová, Zuzana
Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability.
[The connection between the principle of the least action and the thermodynamic condition of stability.]
Engineering Mechanics 2023 : 29th International Conference. Vol. 29. Prague: Institute of Thermomechanics of the Czech Academy of Sciences, 2023 - (Radolf, V.; Zolotarev, I.), s. 159-162. ISBN 978-80-87012-84-0. ISSN 1805-8248. E-ISSN 1805-8256.
[Engineering Mechanics 2023 /29./. Milovy (CZ), 09.05.2023-11.05.2023]
Grant CEP: GA ČR(CZ) GC21-26232J
Institucionální podpora: RVO:61388998
Klíčová slova: principle of the least action * thermodynamic stability condition * annular swirl flow
Obor OECD: Thermodynamics
https://www.engmech.cz/improc/2023/159.pdf

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.
Trvalý link: https://hdl.handle.net/11104/0344245