Modeling the emissions of a dual fuel engine coupled with a biomass gasifier—supplementing the Wiebe function


There is a growing market demand for small-scale biomass gasifiers that is driven by the economic incentives and the legislative framework. Small-scale gasifiers produce a gaseous fuel, commonly referred to as producer gas, with relatively low heating value. Thus, the most common energy conversion systems that are coupled with small-scale gasifiers are internal combustion engines. In order to increase the electrical efficiency, the operators choose dual fuel engines and mix the producer gas with diesel. The Wiebe function has been a valuable tool for assessing the efficiency of dual fuel internal combustion engines. This study introduces a thermodynamic model that works in parallel with the Wiebe function and calculates the emissions of the engines. This “vis-à-vis” approach takes into consideration the actual conditions inside the cylinders—as they are returned by the Wiebe function—and calculates the final thermodynamic equilibrium of the flue gases mixture. This approach aims to enhance the operation of the dual fuel internal combustion engines by identifying the optimal operating conditions and—at the same time—advance pollution control and minimize the environmental impact.

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  1. Ambarita H (2017) Performance and emission characteristics of a small diesel engine run in dual-fuel (diesel-biogas) mode, In Case Studies in Thermal Engineering 10: 179–191

  2. Baratieri M, Baggio P, Fiori L, Grigiante M (2008) Biomass as an energy source: thermodynamic constraints on the performance of the conversion process. Bioresour Technol 99:7063–7073

    CAS  Article  Google Scholar 

  3. Barbieri ES, Melino F, Morini M (2012) Influence of the thermal energy storage on the profitability of micro-CHP systems for residential building applications. Appl Energy 97:714–722

    Article  Google Scholar 

  4. Basu P (2010) Biomass gasification and pyrolysis: practical design and theory. Elsevier Inc.

  5. Bernotat K, Sandberg T (2004) Biomass fired small-scale CHP in Sweden and the Baltic States: a case study on the potential of clustered dwellings. Biomass Bioenergy 27:521–530

    Article  Google Scholar 

  6. Boehman AL, Le Corre O (2008) Combustion of syngas in internal combustion engines. Combust Sci Technol 180:1193–1206

    CAS  Article  Google Scholar 

  7. Bridgwater AV (1995) The technical and economic feasibility of biomass gasification for power generation. Fuel 74:631–653

    CAS  Article  Google Scholar 

  8. Caligiuri C, Renzi M (2017) 0D Thermodynamics combustion simulation tool for a dual fuel diesel—producer gas compression ignition engine. 9th International Conference on Applied Energy, ICAE2017, 21–24 august 2017, Cardiff, UK

  9. Caligiuri C, Antolini D, Patuzzi F, Renzi M, Baratieri M (2017) Modelling of a small scale energy conversion system based on an open top gasifier coupled with a dual fuel diesel engine. 25th European Biomass Conference and Exhibition. 12th – 15th June 2017, Stockholm

  10. Colin ATK, Ferguson R (1986) Internal combustion engines: applied thermosciences, 3ed, 1986

  11. Coniglio L, Bennadji HH, Glaude PA, Herbinet O, Billaud F (2013) Combustion chemical kinetics of biodiesel and related compounds (methyl and ethyl esters): experiments and modeling—advances and future refinements. Prog Energy Combust Sci 39:340–382

    Article  Google Scholar 

  12. Dasappa S, Subbukrishna DN, Suresh KC, Paul PJ, Prabhu GS (2011) Operational experience on a grid connected 100 kWe biomass gasification power plant in Karnataka, India. Energy Sustain Dev 15:231–239

    Article  Google Scholar 

  13. Goodwin DG, Moffat HK, Raymond L, Speth RL (2017) Cantera: an object-oriented software toolkit for chemical kinetics, thermodynamics, and transport processes., (2017). Version 2.3.0. doi:

  14. Heywood JB (1988) Internal combustion engine fundementals, 1988. doi:10987654

  15. Jarungthammachote S, Dutta A (2007) Thermodynamic equilibrium model and second law analysis of a downdraft waste gasifier. Energy 32:1660–1669

    CAS  Article  Google Scholar 

  16. Karim GA (2005) Dual-fuel diesel engines, CRC Press, 2005

  17. Kumar Patra T, Sheth PN (2015) Biomass gasification models for downdraft gasifier: a state-of-the-art review. Renew Sust Energ Rev 50:583–593

    Article  Google Scholar 

  18. La Villetta M, Costa M, Massarotti N (2017) Modelling approaches to biomass gasification: a review with emphasis on the stoichiometric method. Renew Sust Energ Rev 74:71–88

    Article  Google Scholar 

  19. Lakshminarayanan PA, Aghav YV (2010) Modelling diesel combustion, Springer

  20. Li XT, Grace JR, Lim CJ, Watkinson AP, Chen HP, Kim JR (2004) Biomass gasification in a circulating fluidized bed. Biomass Bioenergy 26:171–193

    CAS  Article  Google Scholar 

  21. Liu Z, Karim GA (2005) Simulation of combustion processes in gas-fuelled diesel engines. Proc Inst Mech Eng Part A J Power Energy 211:159–169

    Article  Google Scholar 

  22. Mahapatra S, Dasappa S (2014) Influence of surface area to volume ratio of fuel particles on gasification process in a fixed bed. Energy Sustain Dev 19:122–129

    CAS  Article  Google Scholar 

  23. Mahgoub BKM, Hassan S, Sulaiman SA, Mamat R, Adam AA, Hagos FY (2016) Dual fuel combustion in a ci engine powered by blended diesel-biodiesel fuel and simulated gasification gas. ARPN J Eng Appl Sci 11(22)

  24. Ministry of the Economic Development, 2012. Decreto 6 Luglio 2012: attuazione dell’art. 24 del decreto legislativo 3 marzo 2011, n. 28, recante incentivazione della produzione di energia elettrica da impianti a fonti rinnovabili diversi dai fotovoltaici (English title: Decree 6th July 2012: implementation of art. 24 of the legislative decree 3rd March 2011, n. 28 regarding subsidization of electricity production from power plant based on non-photovoltaic renewable sources). Gazzetta Ufficiale 159

  25. Mousavi SM, Saray RK, Poorghasemi K, Maghbouli A (2016) A numerical investigation on combustion and emission characteristics of a dual fuel engine at part load condition. Fuel 166:309–319

    CAS  Article  Google Scholar 

  26. Muñoz M, Moreno F, Morea-Roy J, Ruiz J, Arauzo J (2000) Low heating value gas on spark ignition engines. Biomass Bioenergy 18:431–439

    Article  Google Scholar 

  27. Nguyen TDB, Lim Y-I, Song B-H, Kim S-M, Joo Y-J, Ahn D-H (2010) Two-stage equilibrium model applicable to the wide range of operating conditions in entrained-flow coal gasifiers. Fuel 89 (12):3901–3910

    CAS  Article  Google Scholar 

  28. Patuzzi F, Prando D, Vakalis S, Rizzo AM, Chiaramonti D, Tirler W, Mimmo T, Gasparella A, Baratieri M (2016) Small-scale biomass gasification CHP systems: comparative performance assessment and monitoring experiences in South Tyrol (Italy). Energy 112:285–293

    Article  Google Scholar 

  29. Prando D, Shivananda Ail S, Chiaramonti D, Baratieri M, Dasappa S (2016) Characterisation of the producer gas from an open top gasifier: assessment of different tar analysis approaches. Fuel 181:566–572

    CAS  Article  Google Scholar 

  30. Ranzi E, Frassoldati A, Grana R, Cuoci A, Faravelli T, Kelley AP, Law CK (2012) Hierarchical and comparative kinetic modeling of laminar flame speeds of hydrocarbon and oxygenated fuels. Prog Energy Combust Sci 38:468–501

    CAS  Article  Google Scholar 

  31. Ravi K, Mathew S, Bhasker JP, Porpatham E (2016) Gaseous alternative fuels for ci engines—a technical review. Int J Pharm Technol 8:5257–5268

    CAS  Google Scholar 

  32. Reed TB, Cowdery CD (1987) Heat flux requirements for fast pyrolysis and a new method for generating biomass vapor, , in Symposium: Production Analysis and Upgrading of Oils from Biomass, Denver, CO, April 5, 1987

  33. Rosha P, Dhir A, Mohapatra SK (2017) Influence of gaseous fuel induction on the various engine characteristics of a dual fuel compression ignition engine: a review. Renew Sustain Energ Rev 82:3333–3349.

    CAS  Article  Google Scholar 

  34. Sfakiotakis S, Vamvuka D (2015) Development of a modified independent parallel reactions kinetic model and comparison with the distributed activation energy model for the pyrolysis of a wide variety of biomass fuels. Bioresour. Technol 34:434–442

    Article  Google Scholar 

  35. Sindhu R, Rao GAP, Murthy KM (2014) Thermodynamic modelling of diesel engine processes for predicting engine performance. Int. J. Appl. Eng Technol 4:101–114

    CAS  Google Scholar 

  36. Smith WR, Missen RW (1982) Chemical reaction equilibrium analysis: theory and algorithm. Wiley-Interscience, New York, pp 122–136

    Google Scholar 

  37. Sombatwong P, Thaiyasuit P, Pianthong K (2013) Effect of pilot fuel quantity on the performance and emission of a dual producer gas–diesel engine. Energy Procedia 34:218–227

    CAS  Article  Google Scholar 

  38. Sridhar G, Paul PJ, Mukunda HS (2001) Biomass derived producer gas as a reciprocating engine fuel—an experimental analysis. Biomass Bioenergy 21:61–72

    CAS  Article  Google Scholar 

  39. Vakalis S, Baratieri M (2015) State-of-the-art of small scale biomass gasifiers in the region of South Tyrol. Waste Biomass Valoriz 6:817–829

    CAS  Article  Google Scholar 

  40. Vakalis S, Prando D, Patuzzi F, Mimmo T, Gasparella A, Tirler W, Dal Savio S, Chiaramonti D, Prussi M, Baratieri M (2013) Experience in biomass gasification in South Tyrol: The “GAST” project. 21st European Biomass Conference and Exhibition. 3rd – 7th June 2013, Copenhagen

  41. Vakalis S, Patuzzi F, Baratieri M (2016) Thermodynamic modeling of small scale biomass gasifiers: development and assessment of the “multi-box” approach. Bioresour Technol 206:173–179

    CAS  Article  Google Scholar 

  42. Woschni G (1967) A universally applicable equation for the instantaneous heat transfer coefficient in the internal combustion engine.

  43. Zainal ZA, Ali R, Lean CH, Seetharamu KN (2001) Prediction of performance of a downdraft gasifier using equilibrium modeling for different biomass materials. Energy Convers Manag 42:1499–1515

    CAS  Article  Google Scholar 

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Correspondence to Stergios Vakalis.

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Vakalis, S., Caligiuri, C., Moustakas, K. et al. Modeling the emissions of a dual fuel engine coupled with a biomass gasifier—supplementing the Wiebe function. Environ Sci Pollut Res 25, 35866–35873 (2018).

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  • Gasification
  • Thermodynamics
  • Internal combustion engine
  • Sabathé
  • Nitrogen oxides