Geodesic
Mathematical modeling of vibrational combustion
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 69-73 Cet article a éte moissonné depuis la source Math-Net.Ru

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A new model of laminar vibrational combustion is constructed relying on a thermodynamic analysis of the combustion process. Two combustion modes, detonation and deflagration, are modeled. The nature of their origin depending on the structure of the standard chemical potential is established, and a numerical experiment concerning the onset of these combustion modes is carried out. By controlling the velocity of the passive component at the inlet, the critical value of the standard chemical potential is identified at which there appear high-frequency vibrations leading to blow-up.
Keywords: thermodynamic analysis, mathematical models of combustion, local equilibrium, high-frequency vibrations.
Mots-clés : laminar combustion 
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     author = {E. V. Radkevich and N. N. Yakovlev and O. A. Vasil'eva},
     title = {Mathematical modeling of vibrational combustion},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {69--73},
     year = {2020},
     volume = {495},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_495_a14/}
}
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E. V. Radkevich; N. N. Yakovlev; O. A. Vasil'eva. Mathematical modeling of vibrational combustion. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 495 (2020), pp. 69-73. http://geodesic.mathdoc.fr/item/DANMA_2020_495_a14/

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