Studies on the outwardly and inwardly propagating spherical flames with radiative loss

Zheng Chen, Xiaolong Gou, Yiguang Ju

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


Outwardly and inwardly propagating spherical flames (OPF and IPF) with radiative loss are studied analytically and numerically. Emphasis is placed on investigating the effects of radiation on flame propagating speed, Markstein length, and flame extinction, as well as on examining whether the reactant can be completely consumed via an IPF. A general correlation between flame propagating speed and flame radius for OPF and IPF of large flame radii is derived and utilized to study the effects of radiative loss and Lewis number on flame propagation and extinction. A correlation for Markstein length at different Lewis numbers and radiative loss is also presented. It is shown that the Markstein length is strongly affected by radiative loss as well as Lewis number, and that only for mixtures not close to their flammability limits and without CO2 dilution is the effect of radiation on the Markstein length measured from expanding spherical flames negligible. Furthermore, the theoretical results are validated by numerical simulations. It is found that when radiative loss is considered, there exists unconsumed reactant after the extinction of IPF for mixture with Lewis number less than unity.

Original languageEnglish (US)
Pages (from-to)124-142
Number of pages19
JournalCombustion science and technology
Issue number2
StatePublished - Feb 2010

All Science Journal Classification (ASJC) codes

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


  • Extinction
  • Markstein length
  • Propagating spherical flame
  • Radiative loss


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