Theory of the transition from conductive to convective burning

Leonid Kagan*, Gregory Sivashinsky

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The experimentally known phenomenon of an abrupt transition from slow conductive to fast convective (penetrative) burning in a confined gas-permeable explosive is discussed. A simple model, involving only the most essential physical ingredients, is formulated and analyzed. A good qualitative agreement between theoretical and experimental dependencies is obtained. The transition is triggered by a localized autoignition in the extended resistance-induced preheat zone formed ahead of the advancing deflagration, provided the pressure difference between hot gas products and gases deep inside the pores of the unburned solid exceeds a certain critical level. In line with observations the critical overpressure increases with diminishing permeability.

Original languageEnglish
Pages (from-to)1983-1988
Number of pages6
JournalProceedings of the Combustion Institute
Issue number2
StatePublished - 2011


  • Conductive to convective burning transition
  • Convective burning
  • Gas-penetrative burning


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