Ensemble-averaged kinematics of harmonically oscillating turbulent premixed flames

Direct numerical simulation (DNS) was used to characterize the kinematics of ensemble-averaged flame position in harmonically oscillating turbulent premixed flames. The flames are stabilized on a harmoni-cally oscillating flame holder, and the fuel consists of methane and hydrogen at a volume ratio of 10:3 and is mixed with air at the stoichiometric ratio. Turbulence intensities of 3.7, 8.6, and 13.3% are sim-ulated, and each turbulent flame is simulated for 20 forcing periods for ensemble averaging. A laminar flame speed calculation method is derived based on the G-equation framework; the new method repro-duces the reference laminar flame speed and the laminar Markstein length. The turbulent flame speed shows strong linear correlation with the ensemble-averaged flame curvature. The turbulent flame speed at zero flame curvature increases proportional to the turbulence intensity, while the turbulent Markstein length is independent of turbulence intensity. When the flame is far from the oscillating flame holder, the correlations between the turbulent flame speed and the flame curvature exhibit either piecewise linear or power-law dependencies. At these locations, the turbulent Markstein length at high curvature is similar to the laminar Markstein length. When a power law model is applied, the turbulent flame speed depen-dency asymptotes to 0.7 powers of the ensemble-average flame curvature at the turbulence conditions considered here. (c) 2023 The Combustion Institute. Published by Elsevier Inc. All rights reserved.

Automated summary

Direct numerical simulation was used to study the kinematics of ensemble-averaged flame position in harmonically oscillating turbulent premixed flames. The study investigated the effects of turbulence intensity, flame curvature, and distance from flame holder on turbulent flame speed and Markstein length. The results showed a strong linear correlation between turbulent flame speed and ensemble-averaged flame curvature, with the turbulent flame speed increasing with turbulence intensity. The turbulent Markstein length was found to be independent of turbulence intensity.