On thermal explosion of a cool spray in a hot gas

Igor Goldfarb, Vladimir Goldshtein, Grigory Kuzmenko, J. Barry Greenberg

Research output: Contribution to journalConference articlepeer-review

26 Scopus citations


The effect of a flammable spray on thermal explosion in a preheated combustible gas mixture is investigated using a simplified model that contains the essentials of the basic physical processes at work. The study represents a re-examination of the question of the ignition of a spray of droplets from the viewpoint of an explosion problem, in which the droplets are taken to be a source of endothermicity. Use is made of various methods for the qualitative analysis of systems of differential equations in order to examine the dynamics of the system. Possible types of dynamical behavior of the system are looked into and parametric regions of their existence are determined analytically. Peculiarities of these dynamical regimes are investigated, and their dependence on the physical system parameters are analyzed. In particular, analytical formulas are developed for ignition delay times by exploiting the sensitivity of the process to the chemical activation energy. A qualitative comparison of predicted ignition times with independent experimental measurements from the literature yields good order of magnitude agreement.

Original languageEnglish
Pages (from-to)2367-2374
Number of pages8
JournalSymposium (International) on Combustion
Issue number2
StatePublished - 1 Jan 1998
Event27th International Symposium on Combustion - Boulder, CO, United States
Duration: 2 Aug 19987 Aug 1998

ASJC Scopus subject areas

  • Chemical Engineering (all)
  • Fuel Technology
  • Energy Engineering and Power Technology
  • Mechanical Engineering
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes


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