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Interrelation Between Dilatation Rate and Displacement Speed in Premixed Turbulent Flames.

Vishnu Mohan1, Ruslan Khamedov2, Hong G Im2

  • 1School of Engineering, Newcastle University, Claremont Road, Newcastle-Upon-Tyne, NE1 7RU UK.

Flow, Turbulence and Combustion
|December 18, 2025
PubMed
Summary

This study analyzes premixed turbulent flames, finding density-weighted displacement speed correlates with dilatation rate. Flame curvature and Karlovitz number influence these relationships, impacting combustion modeling.

Keywords:
Density-weighted displacement speedDilatation rateDirect Numerical SimulationReaction rateTurbulent premixed flames

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Area of Science:

  • Combustion Science
  • Turbulence Modeling
  • Chemical Kinetics

Background:

  • Understanding turbulent flame dynamics is crucial for combustion efficiency and safety.
  • The relationship between flame propagation speed and fluid dilatation is complex in turbulent flows.

Purpose of the Study:

  • To analyze the interrelation between displacement speed and dilatation rate in premixed turbulent flames.
  • To investigate the influence of chemistry models and flame regimes on this relationship.

Main Methods:

  • Three-dimensional Direct Numerical Simulation (DNS) data.
  • Analysis of statistically planar turbulent premixed flames with single-step and detailed chemistry (NH3-air).
  • Investigation under unity Lewis number and near-unity effective Lewis number conditions.

Main Results:

  • Density-weighted displacement speed positively correlates with fluid velocity-based dilatation rate, though non-linearly.
  • Negative correlation observed between displacement speed and flame propagation velocity-based dilatation in wrinkled flamelets.
  • Curvature stretch rate, influenced by Karlovitz number, drives correlation branches in thin reaction zones.

Conclusions:

  • The study demonstrates a link between density-weighted displacement speed and dilatation rate in turbulent flames.
  • Flame curvature and turbulence intensity significantly modulate these correlations.
  • Findings suggest potential for mean dilatation rate closure in Reynolds Averaged Navier-Stokes simulations.