Przegląd modeli procesów spalania w cylindrze silnika tłokowego

Overview of combustion process models in a cylinder of piston engine

  • Dominika Cuper-Przybylska
Keywords: piston engines, mathematical models, combustion process parameters


The article presents an analysis of models used to calculate combustion process parameters in piston engines. One of the applied techniques is modeling based on the mathematical description of physical phenomena. The level of complexity of such a description depends, however, on the purpose of the model, the efficiency of calculations and the possibility of obtaining reliable measurement data. The paper presents various methods of modeling phenomena occurring in the cylinder of a Diesel engine. Presented are assumptions and effects of modeling using models from 0-dimensional and single-zone to complex 3-dimensional models, describing the phenomena of turbulent mass movements using computer fluid mechanics.

W artykule znajduje się analiza modeli wykorzystywanych do obliczania parametrów procesu spalania w silnikach tłokowych. Jedną ze stosowanych technik jest modelowanie oparte na opisie matematycznym zjawisk fizycznych. Poziom złożoności takiego opisu uzależniony jest jednak od celu modelu, efektywności obliczeń i możliwości uzyskania wiarygodnych danych pomiarowych. W pracy przedstawiono różne metody modelowania zjawisk zachodzących w cylindrze silnika tłokowego o zapłonie samoczynnym. Przedstawiono założenia i efekty modelowania z zastosowaniem modeli od 0-wymiarowych i jednostrefowych po złożone modele 3-wymiarowe, opisujące zjawiska turbulentnych ruchów mas z zastosowaniem komputerowej mechaniki płynów.


1. B. Fiorina, O. Gicquel, L. Vervisch, S. Carpentier, N. Darabiha, Premixed turbulent combustion modeling using tabulated detailed chemistry and PDF, In Proceedings of the Combustion Institute, 30, 1, 2005.
2. C. Guardiola, P. Olmeda, B. Pla, P. Bares, In-cylinder pressure based model for exhaust temperature estimation in internal combustion engines, In Applied Thermal Engineering, Volume 115, 2017,
3. C.D. Rakopoulos , K.A. Antonopoulos, D.C. Rakopoulos, Development and application of multi-zone model for combustion and pollutants formation in direct injection diesel engine running with vegetable oil or its bio-diesel, Energy Conversion and Management 48 (2007) 1881–1901.
4. C.D. Rakopoulos , K.A. Antonopoulos, D.C. Rakopoulos, Multi-zone modeling of Diesel engine fuel spray development with vegetable oil, bio-diesel or Diesl Fuels, Energy Conversion and Management 47 (2006) 1550–1573,
5. Colin O., Benkeida A., The 3-Zones Extended Coherent Flame Model (ECFM3Z) for Computing Premixed/Diffusion Combustion. Oil & Gas Science and Technology. 2004; 59-6: 593–609.
6. Filipowicz J., Czas i metody rozgrzewania silnika spalinowego w aspekcie zużycia jego elementów, Autobusy – Technika, Eksploatacja, Systemy Transportowe 2013, nr 3.
7. Jeongwoo Lee, Sanghyun Chu, Kyoungdoug Min, Minjae Kim, Hyunsung Jung, Hyounghyoun Kim, Yohan Chi, Classification of diesel and gasoline dual-fuel combustion modes by the analysis of heat release rate shapes in a compression ignition engine, In Fuel, Volume 209, 2017,
8. Jerzy Kowalski, Wieslaw Tarelko, NOx emission from a two-stroke ship engine. Part 1: Modeling aspect, In Applied Thermal Engineering, Volume 29, Issues 11–12, 2009,
9. Khizer Saeed, A novel regenerative multiple zones model for modelling the premixed charge stirred chemical reactor based combustion engines, In Journal of the Energy Institute, Volume 90, Issue 5, 2017,
10. Luft S., Skrzek T., Współczesny silnik autobusowy : cechy charakterystyczne, Autobusy – Technika, Eksploatacja, Systemy Transportowe 2016, nr 12.
11. Magnussen, B.F. and Hjertager, B.H., On mathematical modeling of turbulent combustion with special emphasis on soot formation and combustion." Sixteenth International Symposium on Combustion. Pittsburgh: The Combustion Institute, 1977,
12. Melih Yıldız, Bilge Albayrak Çeper, Zero-dimensional single zone engine modeling of an SI engine fuelled with methane and methane-hydrogen blend using single and double Wiebe Function: A comparative study, In International Journal of Hydrogen Energy, Volume 42, Issue 40, 2017,
13. P.G. Dowell, S. Akehurst, R.D. Burke, A real-time capable mixing controlled combustion model for highly diluted conditions, In Energy, Volume 133, 2017,
14. Pawletko, R. Polanowski, S.., Research of the influence of Marine diesel engine Sulzer AL. 25/30 load on TDC position on the indication graph, „Journal of KONES” 2010, Vol. 17, No. 3.
15. Simeon Penchev Iliev, Developing of a 1-D Combustion Model and Study of Engine Characteristics Using EthanolGasoline Blends, Proceedings of the World Congress on Engineering 2014 Vol II, WCE 2014,
16. Sokratis Demesoukas, Pierre Brequigny, Christian Caillol, Fabien Halter, Christine Mounaïm-Rousselle, 0D modeling aspects of flame stretch in spark ignition engines and comparison with experimental results, In Applied Energy, Volume 179, 2016,
17. Z.F. Tian, J. Abraham, Development of a two-dimensional internal combustion engines model using CFD for education purpose, 20th International Congress on Modelling and Simulation, Adelaide, Australia, 2013,
18. Zhang, Q., Hao, Z., Zheng, X., Yang, W. Characteristics and effect factors of pressure oscillation in multi-injection DI diesel engine at high-load conditions (2017) Applied Energy, 195, pp. 52-66.
Efektywność transportu/Transport efficiency