Variational Principles in Irreversible Thermodynamics with Application to Combustion Waves Full article
| Journal |
Journal of Non-Equilibrium Thermodynamics
ISSN: 0340-0204 , E-ISSN: 1437-4358 |
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| Output data | Year: 2011, Volume: 36, Pages: 55-73 Pages count : 19 DOI: 10.1515/JNETDY.2011.005 | ||
| Tags | Combustion wave, Entropy production minimization, Laminar combustion, Traveling waves | ||
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Abstract:
The thermodynamics of physicochemical processes in a reacting distributed kinetic system are considered, and the entropy balance equation for traveling waves of laminar combustion is derived for arbitrary Lewis number. Qualitative and numerical analysis of a dynamic system with a threedimensional phase space and of the local and complete entropy production in the system were performed. It is shown that the complete entropy production in the system is a functional of the traveling wave solution of the problem, possessing extreme properties, whose minimum corresponds to the only physically meaningful traveling wave solution. The procedure of “cut-off” (zeroing) of the reaction rate is justified by methods of nonequilibrium thermodynamics. A variational formulation of the problem is presented for calculation of a steady laminar combustion wave.
Cite:
Gerasev A.P.
Variational Principles in Irreversible Thermodynamics with Application to Combustion Waves
Journal of Non-Equilibrium Thermodynamics. 2011. V.36. P.55-73. DOI: 10.1515/JNETDY.2011.005 WOS Scopus РИНЦ OpenAlex
Variational Principles in Irreversible Thermodynamics with Application to Combustion Waves
Journal of Non-Equilibrium Thermodynamics. 2011. V.36. P.55-73. DOI: 10.1515/JNETDY.2011.005 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 4, 2010 |
| Accepted: | Apr 19, 2010 |
| Published print: | May 1, 2011 |
| Published online: | Jul 7, 2011 |
Identifiers:
| Web of science: | WOS:000292643400004 |
| Scopus: | 2-s2.0-79960219792 |
| Elibrary: | 16994022 |
| OpenAlex: | W2315322278 |