International Scientific Journal


In this paper a new method for burned mass fraction - pressure relation, x-p relation, for two-zone model combustion calculation is developed. The main application of the two-zone model is obtaining laminar burning velocity, SL, by using a pressure history from a closed vessel combustion experiment. The linear x-p relation by Lewis and Von Elbe is still widely used. For linear x-p relation, the end pressure is necessary as input data for the description of the combustion process. In this paper a new x-p relation is presented on the basis of mass and energy conservation during the combustion. In order to correctly represent pressure evolution, the model proposed in this paper needs several input parameters. They were obtained from different sources, like the PREMIX software (with GRIMECH 3.0 mechanism) and GASEQ software, as well as thermodynamic tables. The error analysis is presented in regard to the input parameters. The proposed model is validated against the experiment by Dahoe and Goey, and compared with linear x-p relation from Lewis and Von Elbe. The proposed two zone model shows sufficient accuracy when describing the combustion process in a closed vessel without knowing the end pressure in advance, i.e. both peak pressure and combustion rates can be sufficiently correctly captured.
PAPER REVISED: 2012-01-12
PAPER ACCEPTED: 2012-01-16
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THERMAL SCIENCE YEAR 2012, VOLUME 16, ISSUE Issue 2, PAGES [561 - 572]
  1. Kian Eisazadeh-Far, Farzan Parsinejad, Hameed Metghalchi, James C. Keck, On flame kernel ormation and propagation in premixed gases, Combustion and Flame, 157 (2010), 12, pp. 211-222
  2. Panfeng Han, , M. David Checkel, Brian A. Fleck, Natalie L. Nowicki, Burning velocity of ethane/diluent mixture with reformer gas addition, Fuel, 86 (2007), 4, pp. 585-59
  3. A.E. Dahoe, Laminar burning velocities of hydrogen-air mixtures from closed vessel gas xplosions, Journal of Loss Prevention in the Process Industries, 18 (2005), 3, pp. 152-166
  4. V. Di Sarli, A.Di. Benedetto, Laminar burning velocity of hydrogen-methane/air premixed lames, International Journal of Hydrogen Energy, 32 (2007), 5, pp. 637 - 646
  5. R.T.E. Hermanns A.A. Konnov, R.J.M. Bastiaans, L.P.H. de Goey, K. Lucka and H. Köhne,. ffects of temperature and composition on the laminar burning velocity of CH4 + H2 + O2 + 2 flames, Fuel, 89 (2010), 1, pp. 114-121
  6. Erjiang Hu, Zuohua Huang, Jiajia He, Chun Jin, Jianjun Zheng, Experimental and numerical tudy on laminar burning characteristics of premixed methane-hydrogen-air flames, nternational journal of hydrogen energy, 34 (2009), 11, pp.4876-4888
  7. Zuohua Huang, Yong Zhang, Qian Wang, Jinhua Wang, Deming Jiang, Haiyan Miao, Study on lame Propagation Characteristics of Natural Gas-Hydrogen-Air Mixtures, Energy & Fuels, 0 (2006), 6, pp. 2385-2390
  8. Zuohua Huang, Yong Zhang, Ke Zeng, Bing Liu, Qian Wang, Deming Jiang, Natural Gas- ydrogen-Air Mixture Combustion, Energy & Fuels, 21 (2007), 2, pp.692-698
  9. Huang ZH, Zhang Y, Zeng K, Liu B, Wang Q, Jiang DM., Measurements of laminar burning elocities for natural gas-hydrogen-air mixtures, Combustion and Flame, 146 (2006), 1-2, pp. 02-311
  10. B. Lewis, G. von Elbe, Combustion, Flames and Explosions of Gases, 2nd edition, Academic ress, New York, USA, 1961.
  11. D. Bradley, A. Mitcheson, Mathematical solutions for explosions in spherical vessels, ombustion and Flame, 26 (1976), pp. 201-217.
  12. R. Stone, A. Clarke, P. Beckwith, Correlations for the laminar-burning velocity of ethane/diluent/air mixtures obtained in free-fall experiments, Combustion and Flame, 114 1998), 3-4, pp. 546-555
  13. A.E. Dahoe, L.P.H. de Goey, On the determination of the laminar burning velocity from losed vessel gas explosions, Journal of Loss Prevention in the Process Industries, 16 (2003), , pp. 457-478
  14. C.C.M. Luijten , E. Doosje, L.P.H. de Goey, Accurate analytical models for fractional ressure rise in constant volume combustion, International Journal of Thermal Sciences,48 2009), 6,pp. 1213-1222
  15. J. Farrell, R. Johnston, I. Androulakis, Molecular structure effects on laminar burning elocities at elevated temperature and pressure, SAE paper, 2004-01-2936, (2004), pp. 2004- 1-2936
  16. R. Ennetta, M. Hamdi, R. Said, Comparison of different chemical kinetic mechanisms of ethane combustion in an internal combustion engine configuration, Thermal Science, 12 2008), 1 pp. 43-51
  17. M. Yao, Z. Zheng, H. Liu, Progress and recent trends in homogeneous charge compression gnition (HCCI) engines, Progress in Energy and Combustion Science, 35 (2009), 5 pp.398- 37
  18. H. Safari, S.A. Jazayeri, R. Ebrahimi, Potentials of NOX emission reduction methods in SI ydrogen engines: Simulation study, International Journal of Hydrogen Energy, 34 (2009), 2 p.1015-1025
  19. C. Foin, K. Nishiwaki, Y. Yoshihara, A diagnostic bi-zonal combustion model for the study of nock in spark-ignition engines, JSAE Review, 20 (1999), 3 pp. 401-406
  20. S. Khalilarya, M. Javadzadeh, Developing of a new comprehensive spark ignition engines ode for heat loss analysis within combustion chamber walls, Thermal Science 14 (2010), 4 p. 1013-1025
  21. M. Metghalchi, J. Keck, Laminar burning velocity of propane-air mixtures at high emperature and pressure, Combustion and Flame, 38 (1980), pp. 143-154
  22. M. Metghalchi, J. Keck, Burning velocities of mixtures of air with methanol, isooctane, and ndolene at high pressure and temperature, Combustion and. Flame ,48 (1982), pp. 191-210
  23. K. O'Donovan, C. Rallis, A modified analysis for the determination of the burning velocity of gas mixture in a spherical constant volume combustion vessel, Combustion and. Flame, 3 1959), pp. 201-214
  24. Bojan Kraut, Strojarski priručnik,Tehnička knjiga Zagreb, SFRJ, 1988.
  25. ***, Tools and Basic Information for Design; Engineering and Construction of Technical pplications, (as ccessed on 28.07.2011.)
  26. ***, Wikipedia, the Free Encyclopedia, (as ccessed on 28.07.2011.)
  27. Bradley D, Gaskell PH, Gu XJ, Burning velocities, Markstein lengths, and flame quenching or spherical methane-air flames: a computational study, Combustion and Flame, 104 (1996), -2, pp. 176-198
  28. Lamoureux N, Djeba¨y´li-Chaumeix N, Paillard CE., Laminar flame velocity determination or H2-air-He-CO2 mixtures using the spherical bomb method, Experimental Thermal and luid Science, 27 (2003), 4, pp. 385-393

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