THERMAL SCIENCE
International Scientific Journal
CLOSED VESSEL COMBUSTION MODELLING BY USING PRESSURE-TIME EVOLUTION FUNCTION DERIVED FROM TWO-ZONAL APPROACH
ABSTRACT
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.
KEYWORDS
PAPER SUBMITTED: 2011-09-16
PAPER REVISED: 2012-01-12
PAPER ACCEPTED: 2012-01-16
THERMAL SCIENCE YEAR
2012, VOLUME
16, ISSUE
Issue 2, PAGES [561 - 572]
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- B. Lewis, G. von Elbe, Combustion, Flames and Explosions of Gases, 2nd edition, Academic
ress, New York, USA, 1961.
- D. Bradley, A. Mitcheson, Mathematical solutions for explosions in spherical vessels,
ombustion and Flame, 26 (1976), pp. 201-217.
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- M. Metghalchi, J. Keck, Laminar burning velocity of propane-air mixtures at high
emperature and pressure, Combustion and Flame, 38 (1980), pp. 143-154
- 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
- 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
- Bojan Kraut, Strojarski priručnik,Tehnička knjiga Zagreb, SFRJ, 1988.
- ***, Tools and Basic Information for Design; Engineering and Construction of Technical
pplications, www.engineeringtoolbox.com/heating-values-fuel-gases-d_823.html (as
ccessed on 28.07.2011.)
- ***, Wikipedia, the Free Encyclopedia, en.wikipedia.org/wiki/Heat_of_combustion (as
ccessed on 28.07.2011.)
- 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
- 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