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Journal of Combustion
Volume 2011 (2011), Article ID 473679, 19 pages
Research Article

Effects of Turbulent Reynolds Number on the Displacement Speed Statistics in the Thin Reaction Zones Regime of Turbulent Premixed Combustion

1Engineering Department, University of Liverpool, Brownlow Hill, Liverpool L69 3GH, UK
2Technische Universitaet Darmstadt, Institut fuer Energie -und Kraftwerkstechnik, Petersenstraβe 30, 64287 Darmstadt, Germany
3Engineering Department, Cambridge University, Trumpington Street, Cambridge CB2 1PZ, UK

Received 15 January 2011; Accepted 28 March 2011

Academic Editor: A. Lipatnikov

Copyright © 2011 Nilanjan Chakraborty et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The effects of turbulent Reynolds number on the statistical behaviour of the displacement speed have been studied using three-dimensional Direct Numerical Simulation of statistically planar turbulent premixed flames. The probability of finding negative values of the displacement speed is found to increase with increasing turbulent Reynolds number when the Damköhler number is held constant. It has been shown that the statistical behaviour of the Surface Density Function, and its strain rate and curvature dependence, plays a key role in determining the response of the different components of displacement speed. Increasing the turbulent Reynolds number is shown to reduce the strength of the correlations between tangential strain rate and dilatation rate with curvature, although the qualitative nature of the correlations remains unaffected. The dependence of displacement speed on strain rate and curvature is found to weaken with increasing turbulent Reynolds number when either Damköhler or Karlovitz number is held constant, but the qualitative nature of the correlation remains unaltered. The implications of turbulent Reynolds number effects in the context of Flame Surface Density (FSD) modelling have also been addressed, with emphasis on the influence of displacement speed on the curvature and propagation terms in the FSD balance equation.