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Effects of reaction reversibility on ignition and flame propagation

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Abstract

Chemical reactions in high-temperature combustion are reversible and reaction reversibility might have a great impact on fundamental combustion processes such as ignition and flame propagation. In this study, ignition and propagation of spherical flames with a reversible reaction are analyzed using the large-activation-energy asymptotic method. Analytical correlations are derived to describe the change of spherical flame propagation speed and flame temperature with flame radius. The reversibility parameter, fuel Lewis number, and ignition power are included in these correlations. These correlations can predict different flame regimes and transitions among the ignition kernel, flame ball, propagating spherical flame, and planar flame. Therefore, based on these correlations spherical flame propagation and initiation are then investigated with the emphasis on assessing the impact of reaction reversibility. It is found that similar to heat loss, reaction reversibility can greatly affect spherical flame propagation speed, Markstein length, flame ball radius, minimum ignition power, and critical ignition radius. Moreover, it is demonstrated that the influence of reaction reversibility depends on fuel Lewis number.

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Acknowledgments

This work was supported by National Natural Science Foundation of China (Nos. 51322602 and 51136005), Doctoral Fund of Ministry of Education of China (No. 20120001110080), and State Key Laboratory of Engines at Tianjin University (No. K2012-02).

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Author notes

  1. Cong Li & Yunchao Wu

    Present address: Department of Mechanical Engineering, University of Connecticut, Storrs, CT, USA

Authors and Affiliations

  1. State Key Laboratory for Turbulence and Complex Systems (SKLTCS), Department of Mechanics and Engineering Science, College of Engineering, Peking University, Room 408, Beijing, 100871, China

    Cong Li, Yunchao Wu & Zheng Chen

  2. Department of Aeronautics and Astronautics, College of Engineering, Peking University, Beijing, 100871, China

    Zheng Chen

Authors
  1. Cong Li
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  2. Yunchao Wu
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  3. Zheng Chen
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Correspondence to Zheng Chen.

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Li, C., Wu, Y. & Chen, Z. Effects of reaction reversibility on ignition and flame propagation. J Math Chem 53, 386–401 (2015). https://doi.org/10.1007/s10910-014-0430-1

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  • DOI: https://doi.org/10.1007/s10910-014-0430-1

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