Evaluation of reaction progress variable - mixture fraction statistics in partially premixed flames
File(s)
Accepted version
Author(s)
Tian, L
Lindstedt, RP
Type
Journal Article
Abstract
The mixture fraction and reaction progress variables are key for presumed probability density function (PDF) based flamelet models for partially premixed flames. The importance of the joint statistics of these two variables are evaluated using a joint composition-enthalpy transported PDF/Finite Volume method applied to established databases for inhomogeneous jet flames. The accuracy of the approach is first examined for three flames with different mixture fraction inlet profiles and departures from blow-off. The (joint-) statistics of mixture fraction and reaction progress variable are subsequently analysed with the covariance of the two variables used to evaluate the assumption of statistical independence. Results show that the current approach is able to reproduce the near-field features of both homogeneous and inhomogeneous jet flames. The latter leads to a stratified premixed flame that evolves to diffusion-dominated combustion as the influence of the pilot fades. In agreement with measured data, the mixture fraction variance is strongly affected by the near-field combustion mode and the misalignment with the reaction progress variable variance is obvious in the stratified premixed flame. It is shown that the covariance of the mixture fraction and reaction progress variable is influenced by turbulence-chemistry interactions and that, generally, the two parameters remain strongly correlated with the consequence that the assumption of statistical independence is implausible.
Date Issued
2019
Date Acceptance
2018-06-17
Citation
Proceedings of the Combustion Institute, 2019, 37 (2), pp.2241-2248
ISSN
1540-7489
Publisher
Elsevier
Start Page
2241
End Page
2248
Journal / Book Title
Proceedings of the Combustion Institute
Volume
37
Issue
2
Identifier
https://www.sciencedirect.com/science/article/pii/S1540748918303122?via%3Dihub
Subjects
Science & Technology
Physical Sciences
Technology
Thermodynamics
Energy & Fuels
Engineering, Chemical
Engineering, Mechanical
Engineering
Inhomogeneous jet
Partially premixed flames
Transported PDF
Progress variable
Mixture fraction
PROBABILITY DENSITY-FUNCTION
LARGE-EDDY SIMULATION
TURBULENT FLAMES
MODEL
EXTINCTION
COMBUSTION
PREDICTION
0902 Automotive Engineering
0904 Chemical Engineering
0913 Mechanical Engineering
Publication Status
Published
Date Publish Online
2018-07-04