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Journal of Mechanical Science and Technology

, Volume 33, Issue 6, pp 3019–3029 | Cite as

Velocity and mass diffusivity effects on the linear and nonlinear phenomena of the Burke-Schumann flame with acoustic excitation

  • Taesung Kim
  • Myunggeun Ahn
  • Daehong Lim
  • Youngbin YoonEmail author
Article
  • 8 Downloads

Abstract

The dynamics of the Burke-Schumann flame in terms of the Péclet number variation were investigated. The effect of the Péclet number on the flame shape and heat release perturbation in the theoretical study was experimentally confirmed. This number changed through alterations in the average velocity and fuel composition. In addition, the nonlinear effects were reported. These effects were made by different magnitude of velocity oscillation of harmonic frequencies. The effect on the 2nd harmonic frequency is larger when the 1st harmonic flame transfer function showed the lower value. Therefore, the nonlinear characteristics are shown within the range of this study. Also, the specific forcing frequency that makes a non-oscillated flame phenomenon is shown. This frequency makes the very low heat release perturbations and 2nd harmonic oscillations.

Keywords

Burke-Schumann flame Flame transfer function Flame structure Nonlinear phenomena 

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Notes

Acknowledgments

This work was supported by Advanced Research Center Program (NRF-2013R1A5A1073861) through the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIP) contracted through Advanced Space Propulsion Research Center at Seoul National University.

References

  1. [1]
    S. Ducrix, D. Durox and S. Candel, Theoretical and experimental determination of the transfer function of a laminar premixed flame, Proceedings of Combustion Institute, 28 (1) 2000 765–773.CrossRefGoogle Scholar
  2. [2]
    T. Schuller, D. Durox and S. Candel, A unified model for the prediction of laminar flame transfer functions: Comparisons between conical and V-flame dynamics, Combustion and Flame, 134 (1-2) 2003 21–34.CrossRefGoogle Scholar
  3. [3]
    J. H. Cho and T. Lieuwen, Laminar premixed flame response to equivalence ratio oscillations, Combustion and Flame, 140 (1-2) 2005 116–129.CrossRefGoogle Scholar
  4. [4]
    D. Durox, T. Schuller and S. Candel, Combustion dynamics of inverted conical flames, Proceedings of Combustion Institute, 30 (2) 2005 1717–1724.CrossRefGoogle Scholar
  5. [5]
    T. Lieuwen, Nonlinear kinematic response of premixed flames to harmonic velocity disturbances, Proceedings of the Combustion Institute, 30 (2) 2005 1725–1732.CrossRefGoogle Scholar
  6. [6]
    D. Kim, J. G. Lee, B. D. Quay, D. A. Santavicca, K. Kim and S. Srinivasan, Effect of flame structure on the flame transfer function in a premixed gas turbine combustor, Journal of Engineering for Gas Turbines and Power, 132 (2) 2010 021502.CrossRefGoogle Scholar
  7. [7]
    K. T. Kim, J. G. Lee, B. D. Quay and D. A. Santavicca, Response of partially flames to acoustic velocity and equivalence ratio perturbations, Combustion and Flame, 157 (9) 2010 1731–1744.CrossRefGoogle Scholar
  8. [8]
    P. Palies, T. Schuller, D. Durox and S. Candel, Modeling of premixed swirling flames transfer functions, Proceedings of the Combustion Institute, 33 (2) 2011 2967–2974.CrossRefGoogle Scholar
  9. [9]
    J. Yoon, M. Lee, S. Joo, J. Kim and Y. Yoon, Instability mode and flame structure analysis of various fuel composition in a model gas turbine combustor, Journal of Mechanical Science and Technology, 29 (3) 2015 899–907.CrossRefGoogle Scholar
  10. [10]
    N. Noiray, D. Durox, T. Schuller and S. Candel, Selfinduced instabilities of premixed flames in a multiple injection configuration, Combustion and Flame, 134 (3) 2006 435–446.CrossRefGoogle Scholar
  11. [11]
    N. Noiray, D. Durox, T. Schuller and S. Candel, A unified framework for nonlinear combustion instability analysis based on the flame describing function, Journal of Fluid Mechanics, 615 2008 139–167.CrossRefzbMATHGoogle Scholar
  12. [12]
    S. Farhat, D. Kleiner and Y. Zhang, Jet diffusion flame characteristics in a loudspeaker-induced standing wave, Combustion and Flame, 142 (3) 2005 317–323.CrossRefGoogle Scholar
  13. [13]
    Q. Wang, H. W. Huang, H. J. Tang, M. Zhu and Y. Zhang, Nonlinear response of buoyant diffusion flame under acoustic excitation, Fuel, 103 2013 364–372.CrossRefGoogle Scholar
  14. [14]
    K. Balasubramanian and R. I. Sujith, Nonlinear response of diffusion flames to uniform velocity disturbances, Combustion Science and Technology, 180 2008 418–436.CrossRefGoogle Scholar
  15. [15]
    K. Balasubramanian and R.I. Sujith, Non-normality and nonlinearity in combustion-acoustic interaction in diffusion flame, Journal of Fluid Mechanics, 594 2008 29–57.MathSciNetCrossRefzbMATHGoogle Scholar
  16. [16]
    Z. Yao and M. Zhu, A distributed transfer function for nonpremixed combustion oscillations, Combustion Science and Technology, 184 2012 767–790.CrossRefGoogle Scholar
  17. [17]
    N. Magina, V. Acharya, T. Sun and T. Lieuwen, Propagation, dissipation, and dispersion of disturbances on harmonically forced non-premixed flames, Proceedings of the Combustion Institute, 35 (1) 2015 1097–1105.CrossRefGoogle Scholar
  18. [18]
    N. Magina and T. Lieuwen, Effect of axial diffusion on the response of diffusion flames to axial flow perturbations, Combustion and Flame, 167 2016 395–408.CrossRefGoogle Scholar
  19. [19]
    N. Magina, D. Shin, V. Acharya and T. Lieuwen, Response of non-premixed flames to bulk flow perturbations, Proceedings of the Combustion Institute, 34 (1) 2013 963–971.CrossRefGoogle Scholar
  20. [20]
    T. Kim, M. Ahn, J. Hwang, S. Kim and Y. Yoon, The experimental investigation on the response of the Burke-Schumann flame to acoustic excitation, Proceedings of the Combustion Institute, 36 (1) 2017 1629–1636.CrossRefGoogle Scholar
  21. [21]
    K. Kim, Nonlinear interactions between the fundamental and higher harmonics of self-excited combustion instabilities, Combustion Science and Technology, 189 (7) (2017) 1091–1106.CrossRefGoogle Scholar
  22. [22]
    J. Yoon, S. Joo, J. Kim, M. Lee, J. Lee and Y. Yoon, Effects of convection time on the high harmonic combustion instability in a partially premixed combustor, Proceedings of the Combustion Institute, 36 (3) 2017 3753–3761.CrossRefGoogle Scholar
  23. [23]
    A. Orchini and M. P. juniper, Flame double input describing function analysis, Combustion and Flame, 171 2016 87–102.CrossRefGoogle Scholar
  24. [24]
    T. Kim, M. Ahn, J. Hwang, C. Jeong, O. Kwon and Y. Yoon, The response of the burke-schumann flame to external excitation with flame shape and heat release, Journal of the Korean Society of Combustion, 22 (1) 2017 32–38.Google Scholar
  25. [25]
    M. Kim, Y. Choi, J. Oh and Y. Yoon, Flame-vortex inter action and mixing behaviors of turbulent non-premixed jet flames under acoustic forcing, Combustion and Flame, 156 (12) 2009 2252–2263.CrossRefGoogle Scholar

Copyright information

© KSME & Springer 2019

Authors and Affiliations

  • Taesung Kim
    • 1
    • 2
  • Myunggeun Ahn
    • 2
  • Daehong Lim
    • 2
  • Youngbin Yoon
    • 2
    • 3
    Email author
  1. 1.Clean Combustion Research CenterKing Abdullah University of Science and TechnologyThuwalSaudi Arabia
  2. 2.School of Mechanical and Aerospace EngineeringSeoul National UniversitySeoulKorea
  3. 3.Institute of Advanced Aerospace TechnologySeoul National UniversitySeoulKorea

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