Geodesic
On the construction of thermodynamic variational principle for the problem of stationary flame propagation
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 61-68 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The problem of stationary flame propagation is studied by the variational method based on the non-equilibrium thermodynamic approach. The analysis has been carried out for the case of one-dimensional propagation of premixed gaseous flame. The primary aim of the analysis is formulation of the variational principle for minimization of the functional at the stationary state of the system, which is identified as a steady-state regime of flame propagation. The possibility to obtain a relationship for the prediction of flame propagation velocity as a dependent variable has been investigated through the different representations of potential.
Keywords: variational principle, stationary state
Mots-clés : flame propagation. 
@article{VUU_2008_3_a6,
     author = {A. I. Karpov},
     title = {On the construction of thermodynamic variational principle for the problem of stationary flame propagation},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {61--68},
     year = {2008},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a6/}
}
TY  - JOUR
AU  - A. I. Karpov
TI  - On the construction of thermodynamic variational principle for the problem of stationary flame propagation
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 61
EP  - 68
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_3_a6/
LA  - ru
ID  - VUU_2008_3_a6
ER  - 
%0 Journal Article
%A A. I. Karpov
%T On the construction of thermodynamic variational principle for the problem of stationary flame propagation
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 61-68
%N 3
%U http://geodesic.mathdoc.fr/item/VUU_2008_3_a6/
%G ru
%F VUU_2008_3_a6
A. I. Karpov. On the construction of thermodynamic variational principle for the problem of stationary flame propagation. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2008), pp. 61-68. http://geodesic.mathdoc.fr/item/VUU_2008_3_a6/

[1] Zeldovich Ya. B., Barenblatt G. I., Librovich V. B., Makhviladze G. M., Matematicheskaya teoriya goreniya i vzryva, Nauka, M., 1980, 478 pp. | MR

[2] Vilyams F. A., Teoriya goreniya, Nauka, M., 1971, 616 pp.

[3] de Groot S., Mazur P., Neravnovesnaya termodinamika, Mir, M., 1964, 456 pp.

[4] Finlayson B. A., Scriven L. E., “On the Search for Variational Principles”, Int. J. Heat Mass Transfer., 10 (1967), 799–821 | DOI | Zbl

[5] Shekhter R. S., Variatsionnyi metod v inzhenernykh raschetakh, Mir, M., 1971, 291 pp.

[6] Dyarmati I., Neravnovesnaya termodinamika. Teoriya polya i variatsionnye printsipy, Mir, M., 1974, 304 pp.

[7] Glensdorf P., Prigozhin I., Termodinamicheskaya teoriya struktury, ustoichivosti i fluktuatsii, Mir, M., 1973, 280 pp. | MR

[8] Karpov A. I., “Minimal Entropy Production as an Approach to the Prediction of Stationary Rate of Flame Propagation”, J. Non-Equilib. Thermodyn., 17 (1992), 1–9 | DOI | Zbl