Abstract:
The problem of stability of the conversion front in a viscoelastic medium is formulated. The stability study is performed by the method of small perturbations. Nonlinear equations are derived for decrements of decay and complex frequency. Several particular cases are analyzed. A significant effect of the time of relaxation of viscous stresses on the flammability limits for both high-velocity and low-velocity regimes is demonstrated.
Keywords:
combustion wave, stability, method of small perturbations, time of relaxation of viscous stresses.
Citation:
A. G. Knyazeva, S. N. Sorokova, “Stability of the combustion wave in a viscoelastic medium to small one-dimensional perturbations”, Fizika Goreniya i Vzryva, 42:4 (2006), 50–60; Combustion, Explosion and Shock Waves, 42:4 (2006), 411–420
\Bibitem{KnySor06}
\by A.~G.~Knyazeva, S.~N.~Sorokova
\paper Stability of the combustion wave in a viscoelastic medium to small one-dimensional perturbations
\jour Fizika Goreniya i Vzryva
\yr 2006
\vol 42
\issue 4
\pages 50--60
\mathnet{http://mi.mathnet.ru/fgv1611}
\elib{https://elibrary.ru/item.asp?id=16542246}
\transl
\jour Combustion, Explosion and Shock Waves
\yr 2006
\vol 42
\issue 4
\pages 411--420
\crossref{https://doi.org/10.1007/s10573-006-0070-2}
Linking options:
https://www.mathnet.ru/eng/fgv1611
https://www.mathnet.ru/eng/fgv/v42/i4/p50
This publication is cited in the following 5 articles:
Anna Knyazeva, 2020 7th International Congress on Energy Fluxes and Radiation Effects (EFRE), 2020, 1222
V. V. Salomatov, G. V. Kuznetsov, S. V. Syrodoy, N. Y. Gutareva, “Conditions of the Water–Coal Fuel Drop Dispersion at Their Ignition in the Conditions of High-Temperature Heating”, Combustion Science and Technology, 191:12 (2019), 2162
Nikita Martyushev, Yuriy N. Petrenko, “Effect of Mould Heating Temperature on Cooling Rate of the Melt upon Bronze Crystallization”, AMM, 682 (2014), 231
E.N. Pashkov, Nikita Martyushev, Pavel G. Yurovsky, “Stationary Rotation of the Partially Liquid-Filled Unbalanced Rotor under External Friction Force Action”, AMR, 1040 (2014), 903
A. G. Knyazeva, “Solid-phase combustion in a plane stress state. 2. Stability to small perturbations”, J. Appl. Mech. Tech. Phys., 51:3 (2010), 317–323
Citation in format AMSBIB
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