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Vortex-dynamical interpretation of anti-phase and in-phase flickering of dual buoyant diffusion flames

Tao Yang1, Xi Xia1,2, and Peng Zhang1,*

  • 1Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong
  • 2School of Mechanical Engineering, Shanghai Jiao Tong University, Minhang, Shanghai, People's Republic of China

  • *Corresponding author: pengzhang.zhang@polyu.edu.hk

Phys. Rev. Fluids 4, 053202 – Published 22 May, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.053202

Abstract

Anti-phase and in-phase flickering modes of dual buoyant diffusion flames were numerically investigated and theoretically analyzed in this study. Inspired by the flickering mechanism of a single buoyant diffusion flame, for which the deformation, stretching, or even pinch-off of the flame surface result from the formation and evolution of the toroidal vortices, we attempted to understand the anti-phase and in-phase flickering of dual buoyant diffusion flames from the perspective of vortex dynamics. The interaction between the inner-side shear layers of the two flames was identified to be responsible for the different flickering modes. Specifically, the transition between anti-phase and in-phase flickering modes can be predicted by a unified regime nomogram of the normalized flickering frequency versus a characteristic Reynolds number, which accounts for the viscous effect on vorticity diffusion between the two inner-side shear layers. Physically, the transition of the vortical structures from symmetric (in-phase) to staggered (anti-phase) in a dual-flame system can be interpreted as being similar to the mechanism causing flow transition in the wake of a bluff body and forming the Karman vortex street.

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References (65)

  1. A. A. Putnam and C. F. Speich, A model study of the interaction of multiple turbulent diffusion flames, Proc. Combust. Inst. 9, 867 (1963).
  2. K. G. Huffman, J. R. Welker, and C. M. Sliepcevich, Interaction effects of multiple pool fires, Fire Technol. 5, 225 (1969).
  3. N. A. Chigier and G. Apak, Interaction of multiple turbulent diffusion flames, Combust. Sci. Technol. 10, 219 (1975).
  4. R. Zhou and Z.-N. Wu, Fire whirls due to surrounding flame sources and the influence of the rotation speed on the flame height, J. Fluid Mech. 583, 313 (2007).
  5. H. Wan, J. Ji, K. Li, X. Huang, J. Sun, and Y. Zhang, Effect of air entrainment on the height of buoyant turbulent diffusion flames for two fires in open space, Proc. Combust. Inst. 36, 3003 (2017).
  6. L. Hu, L. Huang, Q. Wang, and K. Kuwana, Experimental study and analysis on the interaction between two slot-burner buoyant turbulent diffusion flames at various burner pitches, Combust. Flame 186, 105 (2017).
  7. D. Kamikawa, W. Weng, K. Kagiya, Y. Fukuda, R. Mase, and Y. Hasemi, Experimental study of merged flames from multifire sources in propane and wood crib burners, Combust. Flame 142, 17 (2005).
  8. S. Vasanth, S. Tauseef, T. Abbasi, and S. Abbasi, Multiple pool fires: Occurrence, simulation, modeling and management, J. Loss Prev. Process Ind. 29, 103 (2014).
  9. K. Takagi, H. Gotoda, T. Miyano, S. Murayama, and I. T. Tokuda, Synchronization of two coupled turbulent fires, Chaos 28, 045116 (2018).
  10. A. J. Grant and J. M. Jones, Low-frequency diffusion flame oscillations, Combust. Flame 25, 153 (1975).
  11. T. Maxworthy, The flickering candle: Transition to a global oscillation in a thermal plume, J. Fluid Mech. 390, 297 (1999).
  12. D. Durox, T. Yuan, and E. Villermaux, The effect of buoyancy on flickering in diffusion flames, Combust. Sci. Technol. 124, 277 (1997).
  13. L.-D. Chen, J. P. Seaba, W. M. Roquemore, and L. P. Goss, Buoyant diffusion flames, Proc. Combust. Inst. 22, 677 (1989).
  14. J. Carpio, M. Sánchez-Sanz, and E. Fernández-Tarrazo, Pinch-off in forced and non-forced, buoyant laminar jet diffusion flames, Combust. Flame 159, 161 (2012).
  15. D. Moreno-Boza, W. Coenen, J. Carpio, A. L. Sánchez, and F. A. Williams, On the critical conditions for pool-fire puffing, Combust. Flame 192, 426 (2018).
  16. P.-H. Renard, D. Thevenin, J.-C. Rolon, and S. Candel, Dynamics of flame/vortex interactions, Prog. Energy Combust. Sci. 26, 225 (2000).
  17. B. M. 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).
  18. X. Zhou, K. H. Luo, and J. J. R. Williams, Vortex dynamics in spatio-temporal development of reacting plumes, Combust. Flame 129, 11 (2002).
  19. H. Gotoda, T. Ueda, I. G. Shepherd, and R. K. Cheng, Flame flickering frequency on a rotating Bunsen burner, Chem. Eng. Sci. 62, 1753 (2007).
  20. S. Ghosh, S. Mondal, T. Mondal, A. Mukhopadhyay, and S. Sen, Dynamic characterization of candle flame, Int. J. Spray Combust. Dyn. 2, 267 (2010).
  21. K. R. V. Manikantachari, V. Raghavan, and K. Srinivasan, Effects of burner configurations on the natural oscillation characteristics of laminar jet diffusion flames, Int. J. Spray Combust. Dyn. 7, 257 (2015).
  22. X. Jiang and K. H. Luo, Combustion-induced buoyancy effects of an axisymmetric reactive plume, Proc. Combust. Inst. 28, 1989 (2000).
  23. M. A. Finney, J. D. Cohen, J. M. Forthofer, S. S. McAllister, M. J. Gollner, D. J. Gorham, K. Saito, N. K. Akafuah, B. A. Adam, and J. D. English, Role of buoyant flame dynamics in wildfire spread, Proc. Natl. Acad. Sci. USA 112, 9833 (2015).
  24. X. Xia and P. Zhang, A vortex-dynamical scaling theory for flickering buoyant diffusion flames, J. Fluid Mech. 855, 1156 (2018).
  25. H. Kitahata et al., Oscillation and synchronization in the combustion of candles, J. Phys. Chem. A 113, 8164 (2009).
  26. Y. Nakamura, K. Mochizuki, and T. Matsuoka, Proceedings of the 27th International Symposium on Transport Phenomena, 2016.
  27. D. M. Forrester, Arrays of coupled chemical oscillators, Sci. Rep. 5, 16994 (2015).
  28. K. Okamoto, A. Kijima, Y. Umeno, and H. Shima, Synchronization in flickering of three-coupled candle flames, Sci. Rep. 6, 36145 (2016).
  29. Y. Nagamine, K. Otaka, H. Zuiki, H. Miike, and A. Osa, Mechanism of candle flame oscillation: Detection of descending flow above the candle flame, J. Phys. Soc. Jpn. 86, 074003 (2017).
  30. K. McGrattan, S. Hostikka, R. McDermott, J. Floyd, C. Weinschenk, and K. Overholt, Fire Dynamics Simulator Technical Reference Guide Volume 1: Mathematical Model, NIST Special Publication 1018 (National Institute of Standards and Technology, Gaithersburg, Maryland, USA, 2013).
  31. J. E. Floyd, K. B. McGrattan, S. Hostikka, and H. R. Baum, CFD fire simulation using mixture fraction combustion and finite volume radiative heat transfer, J. Fire Prot. Eng. 13, 11 (2003).
  32. A. Mukhopadhyay and I. K. Puri, An assessment of stretch effects on a flame tip using the thin flame and thick flame formulations, Combust. Flame 133, 499 (2003).
  33. Y. Xin, J. P. Gore, K. B. McGrattan, R. G. Rehm, and H. R. Baum, Fire dynamics simulation of a turbulent buoyant flame using a mixture-fraction-based combustion model, Combust. Flame 141, 329 (2005).
  34. J. Hietaniemi, J. Vaari, and S. Hostikka, FDS Simulation of Fire Spread: Comparison of Model Results with Experimental Data (VTT, Finland, 2004).
  35. S. Hostikka, K. B. McGrattan, and A. Hamins, Numerical modeling of pool fires using LES and finite volume method for radiation, Fire Safety Sci. 7, 383 (2003).
  36. W. Mell, A. Maranghides, R. McDermott, and S. L. Manzello, Numerical simulation and experiments of burning douglas fir trees, Combust. Flame 156, 2023 (2009).
  37. A. S. Newale, B. A. Rankin, H. U. Lalit, J. P. Gore, and R. J. McDermott, Quantitative infrared imaging of impinging turbulent buoyant diffusion flames, Proc. Combust. Inst. 35, 2647 (2015).
  38. K. Takagi, H. Gotoda, I. T. Tokuda, and T. Miyano, Nonlinear dynamics of a buoyancy-induced turbulent fire, Phys. Rev. E 96, 052223 (2017).
  39. C. K. Law, Combustion Physics (Cambridge University Press, Cambridge, UK, 2010).
  40. B. M. Cetegen and T. A. Ahmed, Experiments on the periodic instability of buoyant plumes and pool fires, Combust. Flame 93, 157 (1993).
  41. A. Hamins, J. C. Yang, and T. Kashiwagi, An experimental investigation of the pulsation frequency of flames, Proc. Combust. Inst. 24, 1695 (1992).
  42. A. Schönbucher, B. Arnold, V. Banhardt, V. Bieller, H. Kasper, M. Kaufmann, R. Lucas, and N. Schiess, Simultaneous observation of organized density structures and the visible field in pool fires, Proc. Combust. Inst. 21, 83 (1988).
  43. T. Maynard, Fire interactions and pulsation—theoretical and physical modeling, Ph.D. thesis, University of Calfornia, 2013.
  44. H. R. Baum and B. J. McCaffrey, Fire induced flow field-theory and experiment, Fire Safety Sci. 2, 129 (1989).
  45. J. Fang, R. Tu, J.-F. Guan, J.-J. Wang, and Y.-M. Zhang, Influence of low air pressure on combustion characteristics and flame pulsation frequency of pool fires, Fuel 90, 2760 (2011).
  46. A. Lingens, K. Neemann, J. Meyer, and M. Schreiber, Instability of diffusion flames, Proc. Combust. Inst. 26, 1053 (1996).
  47. P. Huerre and P. A. Monkewitz, Local and global instabilities in spatially developing flows, Annu. Rev. Fluid Mech. 22, 473 (1990).
  48. L. D. Landau, On the problem of turbulence, C. R. Acad. Sci. URSS 44, 311 (1944).
  49. M. Provansal, C. Mathis, and L. Boyer, Bénard-von Kármán instability: Transient and forced regimes, J. Fluid Mech. 182, 1 (1987).
  50. T. v. Karman, Ueber den mechanismus des Widerstandes, den ein bewegter Körper in einer Flüssigkeit erfährt, Göttingen Nachrichten, Math. Phys. Kl. 1911, 509 (1911).
  51. P. G. Saffman and J. C. Schatzman, Stability of a vortex street of finite vortices, J. Fluid Mech. 117, 171 (1982).
  52. P. G. Saffman and J. C. Schatzman, An inviscid model for the vortex-street wake, J. Fluid Mech. 122, 467 (1982).
  53. C. H. K. Williamson, Vortex dynamics in the cylinder wake, Ann. Rev. Fluid Mech. 28, 477 (1996).
  54. T. Kármán, Aerodynamics (Mcgraw-Hill, New York, 1963).
  55. H. K. Moffatt and A. Tsinober, Helicity in laminar and turbulent flow, Ann. Rev. Fluid Mech. 24, 281 (1992).
  56. 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).
  57. T. Yang, X. Xia, and P. Zhang, Vortex-dynamical interpretation of anti-phase and in-phase flickering of dual buoyant diffusion flames, arXiv:1803.10411.
  58. C. Liu, X. Liu, H. Ge, J. Deng, S. Zhou, X. Wang, and F. Cheng, On the influence of distance between two jets on flickering diffusion flames, Combust. Flame 201, 23 (2019).
  59. F. Tang, L. Hu, Q. Wang, and Z. Ding, Flame pulsation frequency of conduction-controlled rectangular hydrocarbon pool fires of different aspect ratios in a sub-atmospheric pressure, Int. J. Heat Mass Transfer 76, 447 (2014).
  60. P. Chakraborty, S. Balachandar, and R. J. Adrian, On the relationships between local vortex identification schemes, J. Fluid Mech. 535, 189 (2005).
  61. A. Roshko, On the drag and shedding frequency of two-dimensional bluff bodies, Technical Report No. NACA-TN-3169, National Advisory Committee for Aeronautics, 1954.
  62. D. Drysdale, An Introduction to Fire Dynamics (Wiley, New York, 2011).
  63. C. H. K. Williamson, Evolution of a single wake behind a pair of bluff bodies, J. Fluid Mech. 159, 1 (1985).
  64. S. Ma, C.-W. Kang, T.-B. A. Lim, C.-H. Wu, and O. Tutty, Wake of two side-by-side square cylinders at low Reynolds numbers, Phys. Fluids 29, 033604 (2017).
  65. A. Sanyal and A. Dhiman, Wake interactions in a fluid flow past a pair of side-by-side square cylinders in presence of mixed convection, Phys. Fluids 29, 103602 (2017).

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