Skip to main content

Thermodynamic Modelling of Combustion Process in a Spark Ignition Engine and its Numerical Prediction

  • Chapter
  • First Online:
Combustion for Power Generation and Transportation

Abstract

This chapter deals with the details of thermodynamic modelling of combustion process in a spark ignition engine. Because of the advent of fast digital computers, various modelling techniques have evolved over the period. They can be classified as thermodynamic, phenomenological and multi-dimensional models. Depending upon the complexities involved appropriate techniques are chosen for predicting the various engine processes. Of the three modelling techniques mentioned, thermodynamic modelling is the simplest one and can provide first cut solutions in the engine development. It may be noted that whatever modelling procedure used combustion is not yet completely amenable to mathematical analysis. In this chapter attempts have made to bring the combustion process under the ambit of thermodynamics. Ten thermodynamic combustion models available in the literature have been assembled and the details are explained. For the simulation of various engine processes from suction to exhaust appropriate thermodynamic equations have been employed and solved. Towards this a software have been developed and is named as ‘GANESH’. The acronym ‘GANESH’ stands for Graphical and Numerical Software Hub. Using the software pressure-volume and pressure-crank angle variations are predicted and compared with experiments. Various engine performance parameters are predicted and analysed using different combustion models. Where ever possible predicted results are compared with experimental results. It is found that Wiebes law with m = 2 along with Woschni’s equation for heat transfer is found to give good results. It is concluded that the developed software can be used with confidence for getting fast and reliable results

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Abu-Nada E, Al-Hinti I, Al-Sarkhi A, Akash B (2006) Thermodynamic modelling of spark-ignition engine: effect of temperature dependent specific heats. Int Commun Heat Mass Transf 33:1264–1272

    Article  Google Scholar 

  2. AI-Himyary T, Karim G (1988) A diagnostic two-zone combustion model for spark-ignition engines based on pressure-time data. SAE Technical Paper 880199. doi:10.4271/880199

  3. Annand WJD (1963) Heat transfer in the cylinder of reciprocating internal combustion engines. Inst Mech Eng 177(36):973–990

    Article  Google Scholar 

  4. Atashkari K (1997) Experimental study of flow and turbulence in a V-flame burner and a SI engine. PhD thesis, University of Leeds, UK

    Google Scholar 

  5. Beccari A, Beccari S, Pipitone E (2010) An analytical approach for the evaluation of the optimal combustion phase in spark ignition engines. J Eng Gas Turbines Power 132/032802-1

    Google Scholar 

  6. Bishop IN (1965) Effect of design variable on friction and economy. SAE Trans 73

    Google Scholar 

  7. Blizard NC, Keck JC (1974) Experimental and theoretical investigation of turbulent burning model for internal combustion engines. SAE paper 740191

    Google Scholar 

  8. Bonatesta F (2013) Premixed combustion in spark ignition engines and the influence of operating variables. In: Dr Ng HK (ed) Advances in internal combustion engines and fuel technologies. doi:10.5772/55495

  9. Bonatesta F, Waters B, Shayler PJ (2010) Burn angles and form factors for Wiebe function fits to mass fraction burned curves of a spark ignition engine with variable valve timing. Int J of Engine Research 11(2):177–186

    Article  Google Scholar 

  10. Borman GL (1964) Mathematical simulation of internal combustion engine processes and performance including comparisons with experiments. PhD thesis, University of Wisconsin, USA

    Google Scholar 

  11. Brilling NR (1931) Investigating of working process and heat transfer in diesel engine, Moscow, pp 210–256

    Google Scholar 

  12. Buttsworth D (2009) Multizone internal combustion engine modelling: initial assessment of a simulation tool developed in Matlab. In: ICEE 2009 3rd international conference on energy and environment, Malacca, Malaysia

    Google Scholar 

  13. Cairns A (2001) Turbulent flame development in a spark ignition engine. PhD thesis, University of Leeds, UK

    Google Scholar 

  14. Channappagoudra MN, Thaned S, Ramesh K, ManavendraG (2013) Optimization of combustion chamber geometry for a direct injection diesel engine: a review. Int J Eng Res Technol 2(11)

    Google Scholar 

  15. Chow A, Wyszynski ML (1999) Thermodynamic modelling of complete engine systems—a review. Inst Mech Eng Part D: J Automobile Eng 213:403

    Article  Google Scholar 

  16. Chun KM, Heywood JB (1987) Estimating heat-release and mass-of mixture burned from spark-ignition engine pressure data. Combust Sci Tech 54:133–143

    Article  Google Scholar 

  17. Eckert P, Kong S, Reitz R (2003) Modelling auto-ignition and engine knock under spark ignition conditions. SAE paper 2003-01-0011

    Google Scholar 

  18. Eichelberg G (1939) Some new investigations on old combustion engine problems. Engineering 148(463–446):547–560

    Google Scholar 

  19. El-Awad MM, Kheiralla AF, Chai CM (2011) A computer-based air-fuel model for analyzing the performance of spark-ignition internal combustion engines. Univ Khartoum Eng J (UOFKEJ) 1(2):40–46

    Google Scholar 

  20. Fathi M, Saray RKh, Checkel MD (2010) Detailed approach for apparent heat release analysis in HCCI engines. Fuel 89(9):2323–2330

    Article  Google Scholar 

  21. Floch A, Dupont A, Baby X (1998) In cylinder flow investigation in a gasoline direct injection four valve engine: bowl shape piston effects on swirl and tumble motions. Fédération Internationale des Sociétés, d’Ingénieurs des Techniques de l’Automobile, World automotive congress, Paper F98T049, Paris, France, 1998

    Google Scholar 

  22. Galindo JH, Climent B, Plá VD, Jiménez (2010) Correlations for Wiebe function parameters for combustion simulation in two-stroke small engines. Appl Thermal Eng. doi:10.1016/j.applthermaleng.2010.12.020

  23. Ganesan V (1996) Computer simulation of spark ignition engine process. Universities Press (I) Ltd., Hyderabad, India

    Google Scholar 

  24. Gatowski JA, Balles EN, Chun KM, Nelson FE, Ekchian JA, Heywood JB (1984) Heat release analysis from pressure data. SAE paper 841359, SAE Trans 93

    Google Scholar 

  25. Ghojel JI (2010) Review of the development and applications of the Wiebe function: a tribute to the contribution of Ivan Wiebe to engine research. Int J Engine Res 11:297

    Article  Google Scholar 

  26. Guezennec YG, Haurama W (1999) Two heat release analysis of combustion data and calibration of heat transfer correlation in an I.C. engine. SAE paper 1999-01-0218

    Google Scholar 

  27. Hadjiev K (2008) Influences of SI engine parameters on crevice fuel losses. Ann Fac Eng Hunedoara J Eng Tome VI

    Google Scholar 

  28. Hall MJ, Bracco FV (1987) A study of velocities and turbulence intensities measured in firing and motored engines. SAE paper 870453

    Google Scholar 

  29. Harish Kumar R, Antony A (2008) Progressive combustion in SI-engines-improved empirical models for simulating and optimizing engine performance. SAE technical paper 2008-01-1630. doi:10.4271/2008-01-1630

  30. Heywood JB (1975) Pollutant formation and control in spark-ignition engines. Prog Energy Combust Sci 1:135–164

    Article  Google Scholar 

  31. Hynes J (1986) Turbulence effects on combustion in spark ignition engines. PhD thesis, University of Leeds, UK

    Google Scholar 

  32. Jakubik T (2002) Engine LDA technique. Progress Report, The University of Leeds, UK

    Google Scholar 

  33. Jelić M, Ninić N (2008) Analysis of internal combustion engine thermodynamic using the second law of thermodynamics. Strojarstvo 50(2):85–94

    Google Scholar 

  34. Jensen TK, Schramm J (2000) A three-zone heat release model for combustion analysis in a natural gas SI engine-effects of crevices and cyclic variations on UHC emissions. SAE paper 2000-01-2802

    Google Scholar 

  35. Jonathan MB, Alkidas AC (2009) On the application of Wiebe functions to simulate normal and knocking spark-ignition combustion. Int J Veh Des 49(1/2/3):52–69

    Google Scholar 

  36. Kalghatgi GT, Bradley D (2012) Pre-ignition and ‘super-knock’ in turbocharged spark-ignition engines. Int J Engine Res 13(4):399–414. doi:10.1177/1468087411431890

    Article  Google Scholar 

  37. Kaprielian L, Demoulin M, Cinnella P, Daru V (2013) Multi-zone quasi-dimensional combustion models for spark-ignition engines. SAE paper 2013-24-0025. doi:10.4271/2013-24-0025

  38. Kim S, Min KIB (2003) Piston crevice hydrocarbon oxidation during expansion process in an SI engine. KSME Int J 17(6):888–895

    Article  Google Scholar 

  39. Kodah ZH, Soliman HS, Abu Qudais M, Jahmany ZA (2000) Combustion in a spark-ignition engine. Appl Energy 66:237–250

    Article  Google Scholar 

  40. König G (1993) Autoignition and knock aerodynamics in engine combustion. PhD thesis, University of Leeds, UK

    Google Scholar 

  41. Krieger RB, Borman GL (1966) The computation of apparent heat release for internal combustion engines. ASME paper 66-WA/DGP-4

    Google Scholar 

  42. Lancaster DR, Krieger RB, Sorenson SC, Hull WL (1976) Effects of turbulence on spark-ignition engine combustion. SAE Trans 85:689–710

    Google Scholar 

  43. Langridge S (1995) Imaging and thermodynamic analysis of autoignition and knock in S.I. engines. PhD thesis, University of Leeds, UK

    Google Scholar 

  44. Lee AP (1995) The effects of bulk motions and turbulence oil combustion in Sl engines. PhD thesis, University of Leeds, UK

    Google Scholar 

  45. Lindström F, Angstrom H, Kalghati G, Moller C (2005) An empirical S.I. combustion model using laminar burning velocity correlations. SAE paper 2005-01-2106

    Google Scholar 

  46. Lipatnikov AN, Chomiak J (2002) Turbulent flame speed and thickness: phenomenology, evaluation and application in multi-dimensional simulations. Prog Energy Combust Sci 28:1–74

    Article  Google Scholar 

  47. Lyn WT (1963) Study of burning rate and nature of combustion in diesel engines. In: Ninth symposium (international) on combustion. Academic, New York, pp 1069–1082

    Google Scholar 

  48. Mahmud ZA (1999) End gas autoignition and knock in spark ignition engines. PhD thesis, University of Leeds, UK

    Google Scholar 

  49. Marvin CF (1927) Combustion time on the engine cylinder and its effect on engine performance. NACA Technical report 276

    Google Scholar 

  50. Mattavi JN, Groff EG, Lienesch JH, Matekunas FA, Noyes RN (1980) Engine improvements through combustion modelling. In: Mattavi JN, Amann CA (eds) Combustion modelling in reciprocating engines Plenum Press, New York, pp 537–587

    Google Scholar 

  51. McCuiston F, Lavoie GA, Kauffman CW (1977) Validation of a turbulent flame propagation model for SI engine. SAE 770045, vol 86, pp 200–221

    Google Scholar 

  52. Meng FM, Wang JX, Xiao K (2010) A study of the influences of particles in the gas flow passage of a piston ring pack on the tribological performances of the piston ring. Inst Mech Eng Part C J Mech Eng Sci 203–210 01/2010, 224(1):201–215

    Google Scholar 

  53. Merdjani S (1996) Leeds University spark ignition engine computer model, version 6.1, User Manual

    Google Scholar 

  54. Merdjani S, Sheppard CGW (1993) Gasoline engine cycle simulation using the Leeds turbulent burning velocity correlations. SAE paper 932640

    Google Scholar 

  55. Merker GP, Schwarz C, Stiesch G, Otto F (2006) Simulating combustion—simulation of combustion and pollutant formation for engine-development. Springer, USA

    Google Scholar 

  56. Metghalachi M, Keck JC (1982) Burning velocities of mixtures of air with methanol, iso-octane and indolene at high pressure and temperature. Combust Flame 48:191–210

    Article  Google Scholar 

  57. Morel T, Keribar R (1985) A model for predicting spatially and time resolved convective heat transfer in bowl-in-piston combustion chambers. SAE paper 850204

    Google Scholar 

  58. Nusselt W (1928) Graphische bestimming des winkelverh ̈altnisses bei der w ̈armestrahlung. VDI Zeitschrift 72:673

    Google Scholar 

  59. Patterson DJ, Van Wylen GJ (1963) A digital computer simulation for spark-ignited engine cycles. SAE paper 633F

    Google Scholar 

  60. Popovic S, Tomic M (2014) Possibilities to identify engine combustion model parameters by analysis of the instantaneous crankshaft angular speed. Thermal Sci 18(1):97–112

    Google Scholar 

  61. Raine RR (1990) A performance model of the dual fuel (diesel/natural gas) engine. SAE paper 900387

    Google Scholar 

  62. Ramachandran S (2009) Rapid thermodynamic simulation model of an internal combustion engine on alternate fuels. In: International multi conference of engineers and computer scientists, vol II, IMECS 2009, Hong Kong, p 2146

    Google Scholar 

  63. Ramos JI (1986) Comparisons between thermodynamic and one-dimensional combustion models of spark-ignition engines. Appl Math Model 10(6):409–422

    Article  Google Scholar 

  64. Rassweiler GM, Withrow L (1938) Motion pictures of engine flames correlated with pressure cards. SAE Trans 83, pp 184–204. Reissued as SAE paper 800131,1980

    Google Scholar 

  65. Rassweiler GM, Withrow L (1938) Motion pictures of engine flames correlated with pressure cards. SAE paper 800131

    Google Scholar 

  66. Scappin F, Stefansson SH, Haglind F, Andreasen A, Larsen U (2012) Validation of a zero-dimensional model for prediction of NOx and engine performance for electronically controlled marine two-stroke diesel engines. Appl Therm Eng 37:344–352

    Article  Google Scholar 

  67. Senzer EB (2007) Piston ring pack design effects on production spark ignition engine oil consumption: a simulation analysis. MS thesis, Massachusetts Institute of Technology, USA

    Google Scholar 

  68. Sezer I, Bilgin A (2008) Mathematical analysis of spark ignition engine operation via the combination of the first and second laws of thermodynamics. Proc R Soc A 464:3107–3128

    Article  MathSciNet  MATH  Google Scholar 

  69. Van Tyens W (1962) Methode zur Berechung der Zylinderbuchsentemperaturen in Dieselmotoren. Dissertation thesis, U. Delft, Netherlands

    Google Scholar 

  70. Vijayashree (2014) Thermodynamic simulation of spark ignition engine processes and optimization using artificial neural network. PhD thesis, Anna University, Chennai, India

    Google Scholar 

  71. Way RIB (1976) Methods for determination of composition and thermodynamic properties of combustion products for internal combustion engine calculations. Proc Inst Mech Eng 190(60/76):687–697

    Article  Google Scholar 

  72. Wiebe JJ (1960) Das Wiebe-Brenngesitz, ein Fortschnitt in der Thermodynamik der Kreigspozessc yon Verbrennungsmotoren translated from Russian by Joute A, Dresen TD. Kraftakrzeugtechnik 9, pp 1–11

    Google Scholar 

  73. Wiseman MW (1990) Spark ignition engine combustion process analysis. Ph.D. thesis, University of Nottingham, UK

    Google Scholar 

  74. Woschni G (1967) A universally applicable equation for the instantaneous heat transfer coefficient in the internal combustion engine. SAE paper 670931. doi:10.4271/670931

  75. Yadollahi B, Boroomand M (2012) A numerical investigation of combustion chamber geometry effects on natural gas direct injection properties in a SI engine with centrally mounted multi-hole injector. Paper ICES2012-81153, pp 797–808. doi:10.1115/ICES2012-81153

  76. Young MB, Lienesch JH (1978) An engine diagnostic package (EDPAC)—software for analysing cylinder pressure-time data. SAE paper 780967

    Google Scholar 

  77. Žák Z, Hvězda J, Emrich M, Macek J, Červenka L (2012) Utilization of multi-zone model results in SI engine modelling. In: MECCA 02, pp 23–20

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vijaya Shree .

Editor information

Editors and Affiliations

Appendix—Specifications of the Engine

Appendix—Specifications of the Engine

Make:

Royal Enfield Ltd.

Type:

Single cylinder, air-cooled, four-stroke, PFI engine

Bore:

70 mm

Stroke:

90 mm

Displacement:

346 cc3

Connecting Rod Length:

160 mm

Compression Ratio:

8.3:1

Rated Power:

14.6 kW

Rated Speed:

5200 rpm

Valve Timing

Inlet valve opening:

40° bTDC

Valve closing:

35° aTDC

Exhaust valve opening:

45° bTDC

Exhaust valve closing:

30° aTDC

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this chapter

Cite this chapter

Shree, V., Ganesan, V. (2017). Thermodynamic Modelling of Combustion Process in a Spark Ignition Engine and its Numerical Prediction. In: Agarwal, A., De, S., Pandey, A., Singh, A. (eds) Combustion for Power Generation and Transportation. Springer, Singapore. https://doi.org/10.1007/978-981-10-3785-6_15

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-3785-6_15

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3784-9

  • Online ISBN: 978-981-10-3785-6

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics