On the statistics of flame stretch in turbulent premixed jet flames in the thin reaction zone regime at varying Reynolds number

Stefano Luca*, Antonio Attili, Ermanno Lo Schiavo, Francesco Creta, Fabrizio Bisetti

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

56 Scopus citations


Direct Numerical Simulations (DNS) are conducted to study the statistics of flame surface stretch in turbulent jet premixed flames. Emphasis is placed on the rates of surface production and destruction and their scaling with the Reynolds number. Four lean methane/air turbulent slot jet flames are simulated at increasing Reynolds number and up to Re-»22×103, based on the bulk velocity, slot width, and the reactants' properties. The Karlovitz number is held approximately constant and the flames fall in the thin reaction zone regime. The simulations feature finite rate chemistry and mixture-average transport. Our data indicate that the area of the flame surface increases up to the streamwise position corresponding to 80% of the average flame length and decreases afterwards as surface destruction overtakes production. It is observed that the tangential rate of strain is responsible for the production of flame surface in the mean and surface destruction is due to the curvature term. In addition, it is found that these two terms are both significantly larger than their difference, i.e., the net surface stretch.The statistics of the tangential strain rate are in good agreement with those for infinitesimal material surfaces in homogeneous isotropic turbulence. Once scaled by the Kolmogorov time scale, the means of both contributions to stretch are largely independent of location and equal across flames with different values of the Reynolds number. Surface destruction is due mostly to propagation into the reactants where the surface is folded into a cylindrical shape with the center of curvature on the side of the reactants. The joint statistics of the displacement speed and curvature of the reactive surface are nuanced, with the most probable occurrence being that of a negative displacement speed of a flat surface, while the surface averaged displacement speed is positive as expected.

Original languageEnglish (US)
Pages (from-to)2451-2459
Number of pages9
JournalProceedings of the Combustion Institute
Issue number2
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2018 The Combustion Institute.


  • Direct Numerical Simulation
  • Flame stretch
  • Flame surface density
  • Turbulent premixed flames

ASJC Scopus subject areas

  • General Chemical Engineering
  • Mechanical Engineering
  • Physical and Theoretical Chemistry


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