Název:
Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability
Překlad názvu:
The connection between the principle of the least action and the thermodynamic condition of stability
Autoři:
Maršík, František ; Trávníček, Zdeněk ; Antošová, Zuzana Typ dokumentu: Příspěvky z konference Konference/Akce: Engineering Mechanics 2023 /29./, Milovy (CZ), 20230509
Rok:
2023
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
annular swirl flow; principle of the least action; thermodynamic stability condition Číslo projektu: GC21-26232J (CEP) Poskytovatel projektu: GA ČR Zdrojový dokument: Engineering Mechanics 2023 : 29th International Conference, ISBN 978-80-87012-84-0, ISSN 1805-8248