0573629 - ÚT 2024 RIV CZ eng C - Conference Paper (international conference)
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]
R&D Projects: GA ČR(CZ) GC21-26232J
Institutional support: RVO:61388998
Keywords : principle of the least action * thermodynamic stability condition * annular swirl flow
OECD category: Thermodynamics
Result website:
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.
Permanent Link: https://hdl.handle.net/11104/0344245