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

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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. 
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     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},
     publisher = {mathdoc},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_3_a6/}
}
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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/