Numerical investigation of non-premixed and premixed rotational tubular flame: a study of flame structure and instability

  • Mehdi Bordbar
  • Shahrooz Motaghian
  • Hadi PasdarshahriEmail author
Technical Paper


Tubular flames are considered due to their advantages in the geometry of the flame. The major importance of tubular flame which makes it different from other flames is its uniform temperature distribution. Therefore, it reduces the possibility of the formation of thermal fluctuations and hot spots along the furnaces. In this paper, high-speed, non-premixed and premixed tubular flames are numerically investigated using computational fluid dynamics under various operational conditions. Methane/air and CO2-diluted methane/oxygen combustions are considered in both non-premixed and premixed modes. \(k - \omega \, SST\) model, eddy dissipation concept combustion model, and P1 radiation model have been used as numerical models. Numerical results are validated against available experimental measurements in the non-premixed tubular flame using DRM22 kinetic mechanism for methane/air combustions and GRI-Mech 3.0 for methane/oxygen mixtures. The structure of the tubular flame in the combustion chamber and stability limits of tubular flame in terms of operating conditions have been studied in the present paper. Results show that premixed tubular flames establish more uniform radial temperature distribution and wider stable flame operating conditions. In addition, diluted methane/oxygen tubular flames have been shown broader stable condition limits than methane/air flames.


Tubular flame Diluted methane/oxygen combustion Numerical simulation Flame instability 


Compliance with ethical standards

Conflict of interest

The authors have no conflict of interest to declare.


  1. 1.
    Ishizuka S (1993) Characteristics of tubular flames. Prog Energy Combust Sci 19(3):187–226Google Scholar
  2. 2.
    Takeno T, Ishizuka S (1986) A tubular flame theory. Combust Flame 64(1):83–98Google Scholar
  3. 3.
    Ishizuka S, Dunn-Rankin D, Pitz RW, Kee RJ, Zhang Y, Zhu H, Takeno T, Nishioka M, Shimokuri D (2013) Tubular combustion. Momentum Press, Carol StreamGoogle Scholar
  4. 4.
    Li YH, Cheng TS, Lien YS, Chao YC (2011) Development of a tubular flame combustor for thermophotovoltaic power systems. Proc Combust Inst 33(2):3439–3445Google Scholar
  5. 5.
    Dehaj MS, Solghar AA (2019) Study of natural gas/air combustion in the three-region porous medium burner. J Braz Soc Mech Sci Eng 41(3):137Google Scholar
  6. 6.
    Mosbacher DM, Wehrmeyer JA, Pitz RW, Sung CJ, Byrd JL (2002) Experimental and numerical investigation of premixed tubular flames. Proc Combust Inst 29(2):1479–1486Google Scholar
  7. 7.
    Hu S, Wang P, Pitz RW, Smooke MD (2007) Experimental and numerical investigation of non-premixed tubular flames. Proc Combust Inst 31(1):1093–1099Google Scholar
  8. 8.
    Hu S, Wang P, Pitz RW (2009) A structural study of premixed tubular flames. Proc Combust Inst 32(1):1133–1140Google Scholar
  9. 9.
    Hu S, Pitz RW (2009) Structural study of non-premixed tubular hydrocarbon flames. Combust Flame 156(1):51–61Google Scholar
  10. 10.
    Shopoff SW, Wang P, Pitz RW (2011) The effect of stretch on cellular formation in non-premixed opposed-flow tubular flames. Combust Flame 158(5):876–884Google Scholar
  11. 11.
    Bak HS, Lee SR, Chen JH, Yoo CS (2015) A numerical study of the diffusive-thermal instability of opposed nonpremixed tubular flames. Combust Flame 162(12):4612–4621Google Scholar
  12. 12.
    Hall CA, Pitz RW (2017) Experimental and numerical study of H2-air non-premixed cellular tubular flames. Proc Combust Inst 36(1):1595–1602Google Scholar
  13. 13.
    Scholtissek A, Pitz RW, Hasse C (2017) Flamelet budget and regime analysis for non-premixed tubular flames. Proc Combust Inst 36(1):1349–1356Google Scholar
  14. 14.
    Shiraga Y, Hori T, Hayashi J, Kegasa A, Akamatsu F (2015) Development of a low NOx two-stage tubular flame burner with intercooling under near stoichiometric conditions. Proc Conf Kansai Branch 90:155–158Google Scholar
  15. 15.
    Shimokuri D, Ishizuka S (2005) Flame stabilization with a tubular flame. Proc Combust Inst 30(1):399–406Google Scholar
  16. 16.
    Ishizuka S, Motodamari T, Shimokuri D (2007) Rapidly mixed combustion in a tubular flame burner. Proc Combust Inst 31(1):1085–1092Google Scholar
  17. 17.
    Shi B, Shimokuri D, Ishizuka S (2013) Methane/oxygen combustion in a rapidly mixed type tubular flame burner. Proc Combust Inst 34(2):3369–3377Google Scholar
  18. 18.
    Shi B, Hu J, Ishizuka S (2015) Carbon dioxide diluted methane/oxygen combustion in a rapidly mixed tubular flame burner. Combust Flame 162(2):420–430Google Scholar
  19. 19.
    Shi B, Hu J, Peng H, Ishizuka S (2014) Flow visualization and mixing in a rapidly mixed type tubular flame burner. Exp Therm Fluid Sci 54:1–11Google Scholar
  20. 20.
    Shi B, Peng W, Li B, Hu J, Wang N, Ishizuka S (2017) CO2 diluted propane/oxygen combustion in a rapidly mixed tubular flame burner. Proc Combust Inst 36(3):4261–4268Google Scholar
  21. 21.
    Richards GA, Casleton KH, Chorpening BT (2005) CO2 and H2O diluted oxy-fuel combustion for zero-emission power. Proc Inst Mech Eng Part A J Power Energy 219(2):121–126Google Scholar
  22. 22.
    Lee K, Kim H, Park P, Yang S, Ko Y (2013) Effects of CO2 dilution on combustion instabilities in dual premixed flames. Proc Inst Mech Eng Part C J Mech Eng Sci 227(11):2569–2581Google Scholar
  23. 23.
    Kamal MM (2007) NOx emission performance of triple flames. Proc Inst Mech Eng Part A J Power Energy 221(8):1193–1208Google Scholar
  24. 24.
    Xie Y, Tu Y, Jin H, Luan C, Wang Z, Liu H (2019) Numerical study on a novel burner designed to improve MILD combustion behaviors at the oxygen enriched condition. Appl Therm Eng 152:686–696Google Scholar
  25. 25.
    Oh J, Hong S (2016) Oxygen temperature variation of a non-premixed oxy-methane flame in a lab-scale slot burner. Appl Therm Eng 104:804–817Google Scholar
  26. 26.
    Abdul-Sater H, Krishnamoorthy G (2013) An assessment of radiation modeling strategies in simulations of laminar to transitional, oxy-methane, diffusion flames. Appl Therm Eng 61(2):507–518Google Scholar
  27. 27.
    Candel S, Durox D, Schuller T, Darabiha N, Hakim L, Schmitt T (2013) Advances in combustion and propulsion applications. Eur J Mech B/Fluids 40:87–106MathSciNetzbMATHGoogle Scholar
  28. 28.
    Weller HG, Tabor G, Jasak H, Fureby C (1998) A tensorial approach to computational continuum mechanics using object-oriented techniques. Comput Phys 12(6):620Google Scholar
  29. 29.
    Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J 32(8):1598–1605Google Scholar
  30. 30.
    Rahman MM, Vuorinen V, Taghinia J, Larmi M (2019) Wall-distance-free formulation for SST k-ω model. Eur J Mech B/Fluids 75:71–82MathSciNetGoogle Scholar
  31. 31.
    Wilcox DC (1993) Turbulence modeling for CFD, vol 93. DCW industries La Canada, CAGoogle Scholar
  32. 32.
    Magnussen BF (2005) The Eddy dissipation concept: a bridge between science and technology. In: ECCOMAS thematic conference on computational combustion, pp 1–25Google Scholar
  33. 33.
    Liu Y, Cheng J, Zou C, Cai L, He Y, Zheng C (2017) Experimental and numerical study on the CO formation mechanism in methane MILD combustion without preheated air. Fuel 192:140–148Google Scholar
  34. 34.
    Xiouris CZ, Koutmos P (2012) Fluid dynamics modeling of a stratified disk burner in swirl co-flow. Appl Therm Eng 35(1):60–70Google Scholar
  35. 35.
    Shabanian SR, Medwell PR, Rahimi M, Frassoldati A, Cuoci A (2013) Kinetic and fluid dynamic modeling of ethylene jet flames in diluted and heated oxidant stream combustion conditions. Appl Therm Eng 52(2):538–554Google Scholar
  36. 36.
    Ertesvåg IS, Magnussen BF (2000) The Eddy dissipation turbulence energy cascade model. Combust Sci Technol 159(1–6):213–235Google Scholar
  37. 37.
    Klayborworn S, Pakdee W (2019) Effects of porous insertion in a round-jet burner on flame characteristics of turbulent non-premixed syngas combustion. Case Stud Therm Eng 14:100451Google Scholar
  38. 38.
    Elorf A, Sarh B (2019) Excess air ratio effects on flow and combustion caracteristics of pulverized biomass (olive cake). Case Stud Therm Eng 13:100367Google Scholar
  39. 39.
    Göbel F, Mundt C (2011) Implementation of the P1 radiation model in the CFD solver NSMB and investigation of radiative heat transfer in the SSME Main Combustion Chamber. In: 17th AIAA international space planes and hypersonic systems and technologies conferenceGoogle Scholar
  40. 40.
    Krishnamoorthy G (2017) A computationally efficient P1 radiation model for modern combustion systems utilizing pre-conditioned conjugate gradient methods. Appl Therm Eng 119:197–206Google Scholar
  41. 41.
    Smith TF, Shen ZF, Friedman JN (1982) Evaluation of coefficients for the weighted sum of gray gases model. J Heat Transfer 104(4):602–608Google Scholar
  42. 42.
    Howell JR, Menguc MP, Siegel R (2015) Thermal radiation heat transfer. CRC Press, Boca RatonGoogle Scholar
  43. 43.
    Marshak RE (1947) Note on the spherical harmonic method as applied to the Milne problem for a sphere. Phys Rev 71(7):443MathSciNetzbMATHGoogle Scholar
  44. 44.
    Kazakov A, Frenklach M (2005) Reduced reaction sets based on GRI-Mech 1.2. Accessed 17 Feb 2018
  45. 45.
    Kukuck S, Matalon M (2001) The onset of oscillations in diffusion flames. Combust Theory Model 5(2):217–240zbMATHGoogle Scholar
  46. 46.
    Frenklach M, Wang H, Goldenberg M, Smith GP, Golden DM, Bowman CT, Hanson RK, Gardiner WC, Lissianski V (1995) GRI-Mech–an optimized detailed chemical reaction mechanism for methane combustion, report No. GRI-95/0058. Gas Research Institute, USAGoogle Scholar
  47. 47.
    Bongartz D, Ghoniem AF (2015) Chemical kinetics mechanism for oxy-fuel combustion of mixtures of hydrogen sulfide and methane. Combust Flame 162(3):544–553Google Scholar
  48. 48.
    Seepana S, Jayanti S (2012) Flame structure investigations of oxy-fuel combustion. Fuel 93:52–58Google Scholar
  49. 49.
    Barbas M, Costa M, Vranckx S, Fernandes RX (2015) Experimental and chemical kinetic study of CO and NO formation in oxy-methane premixed laminar flames doped with NH3. Combust Flame 162(4):1294–1303Google Scholar
  50. 50.
    Wollny P, Rogg B, Kempf A (2018) Modelling heat loss effects in high temperature oxy-fuel flames with an efficient and robust non-premixed flamelet approach. Fuel 216:44–52Google Scholar
  51. 51.
    Schluckner C, Gaber C, Demuth M, Forstinger S, Prieler R, Hochenauer C (2018) CFD-model to predict the local and time-dependent scale formation of steels in air- and oxygen enriched combustion atmospheres. Appl Therm Eng 143:822–835Google Scholar
  52. 52.
    Karlovitz B, Denniston DW, Knapschaefer DH, Wells FE (1953) Studies on Turbulent flames: A. Flame Propagation Across velocity gradients B. turbulence Measurement in flames. In: Symposium (international) on combustion, vol. 4, pp. 613–620. ElsevierGoogle Scholar
  53. 53.
    Wang P, Wehrmeyer JA, Pitz RW (2006) Stretch rate of tubular premixed flames. Combust Flame 145(1–2):401–414Google Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Faculty of Mechanical EngineeringTarbiat Modares UniversityTehranIran

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