Multiscale analysis of turbulence-flame interaction based on measurements in premixed flames
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Accepted version
Author(s)
Type
Journal Article
Abstract
Multi-scale analysis of turbulence–flame interaction is performed using experimental data sets from three methane- and propane-fired premixed, turbulent V-flames, at an approach flow turbulent Reynolds number of 450 and a ratio of r.m.s. fluctuating velocity from the mean to laminar flame speed of between 2.1 and 3.0, straddling the border between corru-
gated flamelets and thin reaction zone in the Borghi-Peters diagram. The measurements were made in the plane of a single laser sheet using stereo particle image velocimetry SPIV and planar laser-induced fluorescence to measure three orthogonal components of velocity
and flame OH. Methods to approximate the remaining, unmeasured, out of plane derivatives are described. The instantaneous SPIV images were bandpass filtered at user-specified characteristic length scales Lω and Ls (for vorticity and strain rate, respectively) resulting in instantaneous bandpass-filtered velocity fields, uLω b and uLs b , which were further analysedto give the bandpass filtered vorticity field, ωLω = ∇ × uLω
b , the strain-rate field, eLs ij , and the tangential strain rate field aLs
T .
This work quantifies two aspects of turbulence-flame interaction. The first aspect is that of the flame interaction of eddies of size Ls on the turbulence, as found by the statistics of the alignment of vorticity with strain rate. We find that vortical eddies with scale about Lω = 2δth (where δth is the flame thickness) are stretched by Ls structures which are larger
than about 2 Lω, with this factor broadly true also for vortical eddies of scales Lω = 4δth and Lω = 6δth. Within the limitations of the data set, these findings are consistent with those in the literature on reacting and non-reacting flows, suggesting that the premixed flame has had little influence on the vortex stretching mechanism.
The second aspect of turbulence-flame interaction examined is that of flame surface-averaged tangential strain rate imparted by eddies. Eddies with length scales Ls smaller than 2δth have the strongest individual contribution but eddies of this length scale and smaller contribute only about 1/3 of the total tangential strain rate. This is larger than the 10 % that has been reported in the literature based on analysis of DNS predictions of premixed flames at turbulent Reynolds numbers up to 110. Eddies with length scale Ls larger than about 20δth contribute a negligible amount to the total tangential strain
rate. We have found no evidence that the Lewis number up to about 1.8 has an observable effect, but this may reflect the inability of the current instruments to resolve vortical structures down to Lω = δth. In the context of large eddy simulations (LES) of premixed combustion, these results are preliminary experimental evidence into the suggestion that resolving turbulence scales down to a few multiples of δth might be adequate to capture much of the flame straining caused by turbulence.
gated flamelets and thin reaction zone in the Borghi-Peters diagram. The measurements were made in the plane of a single laser sheet using stereo particle image velocimetry SPIV and planar laser-induced fluorescence to measure three orthogonal components of velocity
and flame OH. Methods to approximate the remaining, unmeasured, out of plane derivatives are described. The instantaneous SPIV images were bandpass filtered at user-specified characteristic length scales Lω and Ls (for vorticity and strain rate, respectively) resulting in instantaneous bandpass-filtered velocity fields, uLω b and uLs b , which were further analysedto give the bandpass filtered vorticity field, ωLω = ∇ × uLω
b , the strain-rate field, eLs ij , and the tangential strain rate field aLs
T .
This work quantifies two aspects of turbulence-flame interaction. The first aspect is that of the flame interaction of eddies of size Ls on the turbulence, as found by the statistics of the alignment of vorticity with strain rate. We find that vortical eddies with scale about Lω = 2δth (where δth is the flame thickness) are stretched by Ls structures which are larger
than about 2 Lω, with this factor broadly true also for vortical eddies of scales Lω = 4δth and Lω = 6δth. Within the limitations of the data set, these findings are consistent with those in the literature on reacting and non-reacting flows, suggesting that the premixed flame has had little influence on the vortex stretching mechanism.
The second aspect of turbulence-flame interaction examined is that of flame surface-averaged tangential strain rate imparted by eddies. Eddies with length scales Ls smaller than 2δth have the strongest individual contribution but eddies of this length scale and smaller contribute only about 1/3 of the total tangential strain rate. This is larger than the 10 % that has been reported in the literature based on analysis of DNS predictions of premixed flames at turbulent Reynolds numbers up to 110. Eddies with length scale Ls larger than about 20δth contribute a negligible amount to the total tangential strain
rate. We have found no evidence that the Lewis number up to about 1.8 has an observable effect, but this may reflect the inability of the current instruments to resolve vortical structures down to Lω = δth. In the context of large eddy simulations (LES) of premixed combustion, these results are preliminary experimental evidence into the suggestion that resolving turbulence scales down to a few multiples of δth might be adequate to capture much of the flame straining caused by turbulence.
Date Issued
2022-05
Date Acceptance
2022-01-04
Citation
Combustion and Flame, 2022, 239, pp.1-14
ISSN
0010-2180
Publisher
Elsevier
Start Page
1
End Page
14
Journal / Book Title
Combustion and Flame
Volume
239
Copyright Statement
© 2022 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://www.sciencedirect.com/science/article/pii/S0010218022000013?via%3Dihub
Subjects
Energy
0902 Automotive Engineering
0904 Chemical Engineering
0913 Mechanical Engineering
Publication Status
Published
Date Publish Online
2022-02-01