- Access by Xinjiang University
Vortex-dynamical interpretation of anti-phase and in-phase flickering of dual buoyant diffusion flames
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.
Physics Subject Headings (PhySH)
Article Text
References (65)
- A. A. Putnam and C. F. Speich, A model study of the interaction of multiple turbulent diffusion flames, Proc. Combust. Inst. 9, 867 (1963).
- K. G. Huffman, J. R. Welker, and C. M. Sliepcevich, Interaction effects of multiple pool fires, Fire Technol. 5, 225 (1969).
- N. A. Chigier and G. Apak, Interaction of multiple turbulent diffusion flames, Combust. Sci. Technol. 10, 219 (1975).
- 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).
- 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).
- 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).
- 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).
- 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).
- K. Takagi, H. Gotoda, T. Miyano, S. Murayama, and I. T. Tokuda, Synchronization of two coupled turbulent fires, Chaos 28, 045116 (2018).
- A. J. Grant and J. M. Jones, Low-frequency diffusion flame oscillations, Combust. Flame 25, 153 (1975).
- T. Maxworthy, The flickering candle: Transition to a global oscillation in a thermal plume, J. Fluid Mech. 390, 297 (1999).
- D. Durox, T. Yuan, and E. Villermaux, The effect of buoyancy on flickering in diffusion flames, Combust. Sci. Technol. 124, 277 (1997).
- L.-D. Chen, J. P. Seaba, W. M. Roquemore, and L. P. Goss, Buoyant diffusion flames, Proc. Combust. Inst. 22, 677 (1989).
- 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).
- 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).
- P.-H. Renard, D. Thevenin, J.-C. Rolon, and S. Candel, Dynamics of flame/vortex interactions, Prog. Energy Combust. Sci. 26, 225 (2000).
- 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).
- X. Zhou, K. H. Luo, and J. J. R. Williams, Vortex dynamics in spatio-temporal development of reacting plumes, Combust. Flame 129, 11 (2002).
- 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).
- S. Ghosh, S. Mondal, T. Mondal, A. Mukhopadhyay, and S. Sen, Dynamic characterization of candle flame, Int. J. Spray Combust. Dyn. 2, 267 (2010).
- 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).
- X. Jiang and K. H. Luo, Combustion-induced buoyancy effects of an axisymmetric reactive plume, Proc. Combust. Inst. 28, 1989 (2000).
- 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).
- X. Xia and P. Zhang, A vortex-dynamical scaling theory for flickering buoyant diffusion flames, J. Fluid Mech. 855, 1156 (2018).
- H. Kitahata et al., Oscillation and synchronization in the combustion of candles, J. Phys. Chem. A 113, 8164 (2009).
- Y. Nakamura, K. Mochizuki, and T. Matsuoka, Proceedings of the 27th International Symposium on Transport Phenomena, 2016.
- D. M. Forrester, Arrays of coupled chemical oscillators, Sci. Rep. 5, 16994 (2015).
- K. Okamoto, A. Kijima, Y. Umeno, and H. Shima, Synchronization in flickering of three-coupled candle flames, Sci. Rep. 6, 36145 (2016).
- 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).
- 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).
- 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).
- 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).
- 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).
- J. Hietaniemi, J. Vaari, and S. Hostikka, FDS Simulation of Fire Spread: Comparison of Model Results with Experimental Data (VTT, Finland, 2004).
- 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).
- W. Mell, A. Maranghides, R. McDermott, and S. L. Manzello, Numerical simulation and experiments of burning douglas fir trees, Combust. Flame 156, 2023 (2009).
- 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).
- K. Takagi, H. Gotoda, I. T. Tokuda, and T. Miyano, Nonlinear dynamics of a buoyancy-induced turbulent fire, Phys. Rev. E 96, 052223 (2017).
- C. K. Law, Combustion Physics (Cambridge University Press, Cambridge, UK, 2010).
- B. M. Cetegen and T. A. Ahmed, Experiments on the periodic instability of buoyant plumes and pool fires, Combust. Flame 93, 157 (1993).
- A. Hamins, J. C. Yang, and T. Kashiwagi, An experimental investigation of the pulsation frequency of flames, Proc. Combust. Inst. 24, 1695 (1992).
- 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).
- T. Maynard, Fire interactions and pulsation—theoretical and physical modeling, Ph.D. thesis, University of Calfornia, 2013.
- H. R. Baum and B. J. McCaffrey, Fire induced flow field-theory and experiment, Fire Safety Sci. 2, 129 (1989).
- 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).
- A. Lingens, K. Neemann, J. Meyer, and M. Schreiber, Instability of diffusion flames, Proc. Combust. Inst. 26, 1053 (1996).
- P. Huerre and P. A. Monkewitz, Local and global instabilities in spatially developing flows, Annu. Rev. Fluid Mech. 22, 473 (1990).
- L. D. Landau, On the problem of turbulence, C. R. Acad. Sci. URSS 44, 311 (1944).
- M. Provansal, C. Mathis, and L. Boyer, Bénard-von Kármán instability: Transient and forced regimes, J. Fluid Mech. 182, 1 (1987).
- T. v. Karman, Ueber den mechanismus des Widerstandes, den ein bewegter Körper in einer Flüssigkeit erfährt, Göttingen Nachrichten, Math. Phys. Kl. 1911, 509 (1911).
- P. G. Saffman and J. C. Schatzman, Stability of a vortex street of finite vortices, J. Fluid Mech. 117, 171 (1982).
- P. G. Saffman and J. C. Schatzman, An inviscid model for the vortex-street wake, J. Fluid Mech. 122, 467 (1982).
- C. H. K. Williamson, Vortex dynamics in the cylinder wake, Ann. Rev. Fluid Mech. 28, 477 (1996).
- T. Kármán, Aerodynamics (Mcgraw-Hill, New York, 1963).
- H. K. Moffatt and A. Tsinober, Helicity in laminar and turbulent flow, Ann. Rev. Fluid Mech. 24, 281 (1992).
- 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).
- 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.
- 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).
- 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).
- P. Chakraborty, S. Balachandar, and R. J. Adrian, On the relationships between local vortex identification schemes, J. Fluid Mech. 535, 189 (2005).
- 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.
- D. Drysdale, An Introduction to Fire Dynamics (Wiley, New York, 2011).
- C. H. K. Williamson, Evolution of a single wake behind a pair of bluff bodies, J. Fluid Mech. 159, 1 (1985).
- 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).
- 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).