ABSTRACT
This study investigates turbulent flame speed and turbulent Markstein length using analytic and numerical methods. Using asymptotic analysis on harmonically oscillating flames, explicit expressions for the un-stretched turbulent flame speed and the turbulent Markstein length are derived. Numerical simulations using the 3D level-set method were conducted on the parameters of laminar flame speed, amplitude of oscillation of the flame holder, turbulence intensity, and longitudinal length scale of the flow. Results show that with distance downstream the un-stretched turbulent flame speed increases parabolically and Markstein length increases linearly. The explicit expressions are consistent with simulation results and offer insight into flame dynamics in the near field. In the far field, the numerical simulations show saturation of the un-stretched turbulent flame speed and the turbulent Markstein length, which are not captured by the asymptotic analysis.
Acknowledgements
This work was partly supported by a Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the government of Korea (MOTIE) (20214000000310, Energy Innovation Research Center for Carbon-Neutral High-Efficiency Gas Turbine Combustion Technology), and by the Korea Institute of Energy Technology Evaluation and Planning (KETEP) and the Ministry of Trade, Industry & Energy (MOTIE) of the Republic of Korea (Grant No. 20206710100060, Development of Low NOx Hydrogen Combustor for Distributed Power Generation Gas Turbine).
Disclosure statement
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Supplementary material
Supplemental data for this article can be accessed online at https://doi.org/10.1080/00102202.2023.2251169