The connection between the principle of the least action and the thermodynamic condition of stability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F23%3A00573629" target="_blank" >RIV/61388998:_____/23:00573629 - isvavai.cz</a>
Result on the web
<a href="https://www.engmech.cz/improc/2023/159.pdf" target="_blank" >https://www.engmech.cz/improc/2023/159.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
The connection between the principle of the least action and the thermodynamic condition of stability
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/GC21-26232J" target="_blank" >GC21-26232J: Heat and mass transfer enhancement in unsteady jet flows - utilization of effects of hysteresis, bistability and intermittency</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Engineering Mechanics 2023 : 29th International Conference
ISBN
978-80-87012-84-0
ISSN
1805-8248
e-ISSN
1805-8256
Number of pages
4
Pages from-to
159-162
Publisher name
Institute of Thermomechanics of the Czech Academy of Sciences
Place of publication
Prague
Event location
Milovy
Event date
May 9, 2023
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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