Thermodynamic aspects of variational principles for fluids with heat flow

• Autorzy: Sieniutycz S.
• Języki publikacji: EN

Abstrakty

EN

Processing some known results of nonequilibrium statisctical mechanics we focus on nonequilibrium corrections Δs to entropy s of the fluid in terms of the nonequilibrium density distribution function, f. To evaluate corrections Δe to the energy e or kinetic potential L we apply a relationship that links energy and entropy representations of thermodynamics. We also evaluate coefficients of wave model of heat conduction, such as: relaxation time, propagation speed and thermal inertia. With corrections to L we formulate a quadratic Lagrangian and a variational principle of Hamilton's (least action) type for a fluid with heat flux, or other random-type effect, in the field or Eulerian representation of fluid motion. We discuss canonical and generalized conservation laws and show that satisfaction of the second law of thermodynamics under the constraint of canonical conservation laws.

Słowa kluczowe

EN

conservation laws; thermal inertia; variational principles; wave equations

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2005
• Tom: Vol. 26, no. 2
• Strony: 45--71
• Opis fizyczny: Bibliogr. 10 poz., wz., wykr.

Twórcy

autor

Sieniutycz S.

• Faculty of Chemical Engineering, Warsaw University of Technology, ul. Waryńskiego 1, 00-645 Warszawa

Bibliografia

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• [6] SlENIUTYCZ S.: Conservation Laws in Variational Thermo-Hydrodynamics, Kluwer Academic Publishers, Dordrecht 1994.
• [7] SlENIUTYCZ S.: Variational thermomechanical processes and chemical reactions in distributed systems, Intern. J. Heat and Mass Transfer, 40(1997), 3467-3485.
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• [10] SlENIUTYCZ S.: Optimization in Process Engineering, Wydawnictwa Naukowo-Techniczne, Warszawa 1978.