International Scientific Journal


In this work, two zone thermodynamic models have been developed for prediction of particulate matter (PM) from direct injection Diesel engine. Two key compositions of PM were considered in this simulation model developed, it consists of soot and soluble organic fraction (SOF). Soot formation model were developed initially and then coupled with SOF model to get overall PM formation rates. Primary soot formation rate was obtained by using Hirosysu model and Nagle and Strick-land-Constable model was adopted to get soot oxidation rate. The oxidation and formation rate difference gives overall soot formation value. Unburned hydrocarbons were considered as key factor for SOF formation so the formation and oxidation rate of hydrocarbon was determined. Then the difference between these two gives overall SOF formation rate. At last soot formation and SOF model was integrated to get overall PM formation rate. Various submodels like ignition delay, heat release rate, and combustion model were involved in this study to predict PM formation rate. Validation of this simulation model developed were carried out on single cylinder, naturally aspirated water cooled direct injection Diesel engine. Simulation results matched well with the experimental results and it clearly shows that model developed is an accurate one. Results obtained shows that soot formation increases at higher loads and SOF formation rate increase at lower loads. Simulation model developed is very useful for understanding the PM formation mechanisms and also useful for control of PM formation.
PAPER REVISED: 2016-01-22
PAPER ACCEPTED: 2016-02-28
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THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 4, PAGES [S1017 - S1028]
  1. Colin, R. F., Allen, T. K., Internal Combustion Engine, John Wiley and Sons, New York, USA, 2001
  2. Heywood, J. B., Internal Combustion Engine Fundamentals, McGraw-Hill, New York, USA, 1988
  3. Tan, P. Q., et al., Analysis of Particulate Matter Composition from a Heavy-Duty Diesel Engine, Proc Inst Mech Eng, Part D, J. Automobile Engg., 218 (2004), 11, pp. 1325-1331
  4. Williams, P. T., The Role of Lubricating Oil in Diesel Particulate and Particulate PAH Emissions, SAE technical paper 87084, 1987
  5. Kennedy, I. M., Models of Soot Formation and Oxidation, Prog. Energy Combust.sci., 23 (1997), 2, pp 95-132
  6. Taskinen, P., et al., Simulation of Combustion, Soot and Nox-Emissions in a Large Medium Speed Diesel Engine, SAE paper 981449, 1998
  7. Cheng, X., et al., Study on Soot Formation Characteristics in the Diesel Combustion Process Based on an Improved Detailed Soot Model, Energy Conversion and Management, 75 (2013), Nov., pp. 1-10
  8. Kunpen, Qi., et al., Simulation of Quasi-Dimensional Combustion Model for Predicting Diesel Engine Performance, Applied Mathematical Modelling, 35 (2011), 2, pp. 930-940
  9. Lipkea, W. H., Dejoode, A. D., Direct Injection Diesel Engines Soot Modeling: Formulation and Results, SAE paper 940670, 1994
  10. Suneel, K., et al., Numerical Modelling of Compression Ignition Engine: A Review, Renewable and Sustainable Energy Reviews, 19 (2013), Mar., pp. 517-530
  11. Hiroyasu, H., et al., Development and Use of a Spray Combustion Modelling to Predict Diesel Engine Efficiency and Pollutant Emissions, Part 1: Combustion Modelling, Bull JSME, 26 (1983), 214, pp. 569-575
  12. Hiroyasu, H., et al., Fuel Spray Characterization in Diesel Engine, Proceedings, Symposium on Combustion Modelling in Reciprocating Engines, Plenum Press; New York, USA, 1980, pp. 369-408
  13. Rakopolous, C. D., et al., Validation and Sensitivity Analysis of a Two Zone Diesel Engine Model for Combustion and Emissions Prediction, Energy Conversion and Management, 45 (2004), 9-10, pp. 1471-1495
  14. Gao, Z., Schreiber, W., A Multizone Analysis of Soot and NOx Emission in a D.I. Diesel Engine as a Function of Engine Load, Wall Temperature, and Intake Air O2 Content, ASME paper 2000-ICE-314, 2000
  15. Kouremenos, D. A., et al., Multi-Zone Combustion Modelling for the Prediction of Pollutants Emissions and Performance of DI Diesel Engines, SAE paper 970635, 1997
  16. Stiesch, G., Merker, G. P., A Phenomenological Model for Accurate and Time Efficient Prediction of Heat Release and Exhaust Emissions in Direct Injection Diesel Engines, SAE paper 1999-01-1535, 1999
  17. Welch, S., Moss, J. B., Zonal Modelling of Diesel Engine Smoke Emission, IMechE Paper C499/027/96, 1996
  18. Jose, P., et al., Algebraic Modelling for Thermodynamic Study of the Compression-Ignition Engine, SAE paper 2005-01-4143, 2005
  19. Whitehouse, N. D., A Simple Method for the Calculation of Heat Release Rates in Diesel Engine, SAE paper 710134, 1971
  20. Rezaei, R., Zero Dimensional Modelling of Combustion and Heat Release Rate in Diesel Engine, SAE paper 2012-01-1065, 2012
  21. De Risi, A., et al., A Theoretical Investigation on the Effects of Combustion Chamber Geometry and Engine Speed on Soot and NOx Emissions, ASME paper 1999-ICE-207, 1999
  22. Micklow, G. J., Gong, W., Combustion Modelling for Direct Injection Diesel Engines, Proc. Inst. Mech. Eng, Part D, J. Automobile Eng, 2015 (2001), 5, pp. 651-663
  23. Nagle, J., Strickland-Constable, R. F., Oxidation of Carbon Between 1000-2000 °C, Proceedings, 5th Conference on Carbon, Pergamon Press; London, 1962, pp. 154-164
  24. Assanis, D. N., et al., A Predictive Ignition Delay Correlation Under Steady-State and Transient Operation of a Direct Injection Diesel Engine, J. Eng Gas Turb Power, 125 (2003), 2, pp. 450-457

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