Constraints in thermodynamic extremal principles for non-local dissipative processes

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

Autoren

Organisationseinheiten

Externe Organisationseinheiten

  • Czech Academy of Sciences, Brno

Abstract

Phenomena treated by non-equilibrium thermodynamics can be very effectively described by thermodynamic variational principles. The remarkable advantage of such an approach consists in possibility to account for an arbitrary number of constraints among state or kinetic variables stemming, e.g., from conservation laws or balance equations. As shown in the current paper, the variational principles can provide original evolution equations for the state variables implicitly respecting the constraints. Moreover, the variational approach allows formulating the problem directly in discrete state variables and deriving their evolution equations without the necessity to solve partial differential equations. The variational approach makes it also possible to use different kinetic variables in formulation of dissipation and dissipation function.

Details

OriginalspracheEnglisch
Aufsatznummer32
Seiten (von - bis)1337-1345
Seitenumfang9
FachzeitschriftContinuum Mechanics and Thermodynamics
Jahrgang32
Ausgabenummer5
DOIs
StatusVeröffentlicht - 1 Sep. 2020