Combustion, Explosion and Shock Waves

, Volume 42, Issue 3, pp 292–294 | Cite as

Criteria for thermal stability of parabolically oxidable heterogeneous systems

  • V. Yu. Filimonov


A system of equations that interaction of an isolated particle or a dense ensemble of particles with an oxidizing agent in the case of parabolic growth of the product layer is analytically treated in the one-temperature approximation. It is shown that a jumplike transition from the lower reacting mode (regime with a temperature maximum) to the upper reacting mode (regime with a monotonically increasing temperature) occurs with a continuously changing ignition parameter. The critical ignition parameter obtained differs from its numerically predicted value by 7%.

Key words

parabolic law phase trajectory critical conditions 


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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • V. Yu. Filimonov
    • 1
  1. 1.Polzunov Altai State Technical UniversityBarnaul

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