Geodesic
On the Raushenbakh resonance
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2021), pp. 54-65

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The author's method of thermodynamic analysis is used to single out two equations of state for the laminar combustion process: the classical Hugoniot adiabat, which determines the pressure, and the equation of state, which determines the entropy. This allows us to construct a new mathematical model of the laminar process of vibrational combustion of a two-component mixture by closing the classical models of continuum mechanics. The model is phenomenological, which requires its verification. For numerical verification, we chose the well-known experimental fact — the appearance of high-frequency acoustic vibrations described by B. V. Raushenbakh. The conditions for the origin of high-frequency oscillations are obtained in terms of the standard chemical potential. They can substantially disturb the combustion process and may cause a catastrophic break-up of the furnace of the engine structure. A numerical experiment established critical values of the standard chemical potential when high frequency vibrations lead to destruction. 
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     author = {E. V. Radkevich and O. A. Vasil'eva and M. I. Sidorov and M. E. Stavrovsky},
     title = {On the {Raushenbakh} resonance},
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     year = {2021},
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E. V. Radkevich; O. A. Vasil'eva; M. I. Sidorov; M. E. Stavrovsky. On the Raushenbakh resonance. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2021), pp. 54-65. http://geodesic.mathdoc.fr/item/VMUMM_2021_3_a8/