Original title: Souvislost mezi principem nejmenší akce a termodynamickou podmínkou stability
Translated title: The connection between the principle of the least action and the thermodynamic condition of stability
Authors: Maršík, František ; Trávníček, Zdeněk ; Antošová, Zuzana
Document type: Papers
Conference/Event: Engineering Mechanics 2023 /29./, Milovy (CZ), 20230509
Year: 2023
Language: eng
Abstract: 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.
Keywords: annular swirl flow; principle of the least action; thermodynamic stability condition
Project no.: GC21-26232J (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2023 : 29th International Conference, ISBN 978-80-87012-84-0, ISSN 1805-8248

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: https://www.engmech.cz/improc/2023/159.pdf
Original record: https://hdl.handle.net/11104/0344245

Permalink: http://www.nusl.cz/ntk/nusl-532607


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