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Numerical study of synthetic spherically expanding flames for optimization of laminar flame speed experiments

Zhang, Yakun and Coronel, Stephanie A. and Mével, Rémy (2022) Numerical study of synthetic spherically expanding flames for optimization of laminar flame speed experiments. Fuel, 310 . Art. No. 122367. ISSN 0016-2361. doi:10.1016/j.fuel.2021.122367.

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This study presents the performances of four commonly-used extrapolation models, including the linear stretch and linear curvature models, the nonlinear model in expansion form, and the nonlinear quasi-steady model, using synthetic data sets generated over a wide range of conditions. The effects of a number of experimental limitations, such as the facility size, the finite camera framing rate, and the noise in the image detected flame radius, were investigated. Two types of error, model and noise error, which constitute the overall extrapolation uncertainty were investigated. Relative model error is primarily driven by Markstein length (L_b) and the flame radius range; however, it is weakly sensitive to laminar flame speed (S⁰_b). Noise error is controlled by the size of flame radius data set which depends on framing rate and the selected flame radius range. For small values of |L_b|, the model error is negligible. For large values of |L_b|, the two error types are equally prevalent in the overall uncertainty and they cannot be simultaneously minimized. Experimentally, large experimental facilities and high camera framing rates should be favored to reduce the noise error. For extrapolation to zero-stretch, the model that best reproduces the flame propagation evolution should be favored. The Markstein length demonstrates a high sensitivity to the choice of model and noise addition when compared to the laminar flame speed. The procedures developed in this study can be used to predict extrapolation-induced error under various experimental conditions and can be used to optimize laminar flame speed experiments.

Item Type:Article
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Coronel, Stephanie A.0000-0002-7088-7976
Mével, Rémy0000-0002-0032-350X
Additional Information:© 2021 Elsevier. Received 9 July 2021, Revised 19 October 2021, Accepted 20 October 2021, Available online 17 November 2021. The authors are grateful to Professor Joseph E. Shepherd from Caltech for useful discussions. CRediT authorship contribution statement. Yakun Zhang: Performed the calculations, Prepare all the plots, Wrote the first draft of the paper. Stephanie A. Coronel: Developed the original numerical approach, Corrected the paper. Rémy Mével: Supervised the study, Corrected the paper. 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.
Subject Keywords:Spherically expanding flame; Laminar flame speed; Markstein length; Extrapolation uncertainty
Record Number:CaltechAUTHORS:20211202-191327074
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Official Citation:Yakun Zhang, Stephanie A. Coronel, Rémy Mével, Numerical study of synthetic spherically expanding flames for optimization of laminar flame speed experiments, Fuel, Volume 310, Part B, 2022, 122367, ISSN 0016-2361, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:112172
Deposited By: George Porter
Deposited On:02 Dec 2021 22:52
Last Modified:15 Dec 2021 20:29

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