Model of heterogeneous combustion of small particles

Alexandre Ermoline, Deniz Yildiz, Edward L. Dreizin

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


A steady model of heterogeneous combustion for a spherical particle in the transition heat and mass transfer regime is developed. The model assumes formation of condensed products and reaction rate controlled by the transport of oxidizer to the particle surface. The model is based on the Fuchs' limiting sphere approach. Calculations are performed for combustion of zirconium particles of different sizes. Temperature and oxygen concentration profiles are calculated and compared to those predicted by the continuous medium transfer model. The predictions are compared with available experimental data. For coarse particles, both predicted combustion temperatures and burn rates match respective experimental data when the reaction is assumed to produce zirconium-oxygen solution rather than stoichiometric ZrO2. A weaker effect of particle size on their burn time is predicted for smaller particles, in qualitative agreement with recent experiments. However, the model underestimates the burn times and overestimates the combustion temperatures for small particles. This discrepancy is likely associated with the finite reaction kinetics at the particle surface that must be accounted for in the future work.

Original languageEnglish (US)
Pages (from-to)2982-2989
Number of pages8
JournalCombustion and Flame
Issue number12
StatePublished - Dec 2013

All Science Journal Classification (ASJC) codes

  • General Chemistry
  • General Chemical Engineering
  • Fuel Technology
  • Energy Engineering and Power Technology
  • General Physics and Astronomy


  • Limiting sphere model
  • Metal combustion
  • Transition regime
  • Zirconium combustion


Dive into the research topics of 'Model of heterogeneous combustion of small particles'. Together they form a unique fingerprint.

Cite this