To calculate the actual efficiency of an engine requires the energy density of the fuel being used.
Different fuels have different energy densities defined by the fuel's heating value. The lower heating value (LHV) is used for internal-combustion-engine-efficiency calculations because the heat at temperatures below 150 °C (300 °F) cannot be put to use.
Thus a diesel engine's efficiency = 1/(BSFC × 0.0119531) and a gasoline engine's efficiency = 1/(BSFC × 0.0122225)
Any engine will have different BSFC values at different speeds and loads. For example, a reciprocating engine achieves maximum efficiency when the intake air is unthrottled and the engine is running near its peak torque. The efficiency often reported for a particular engine, however, is not its maximum efficiency but a fuel economy cycle statistical average. For example, the cycle average value of BSFC for a gasoline engine is 322 g/(kW⋅h), translating to an efficiency of 25% (1/(322 × 0.0122225) = 0.2540). Actual efficiency can be lower or higher than the engine’s average due to varying operating conditions. In the case of a production gasoline engine, the most efficient BSFC is approximately 225 g/(kW⋅h), which is equivalent to a thermodynamic efficiency of 36%.
An iso-BSFC map (fuel island plot) of a diesel engine is shown. The sweet spot at 206 BSFC has 40.6% efficiency. The x-axis is rpm; y-axis is BMEP in bar (bmep is proportional to torque)
BSFC numbers change a lot for different engine designs, and compression ratio and power rating. Engines of different classes like diesels and gasoline engines will have very different BSFC numbers, ranging from less than 200 g/(kW⋅h) (diesel at low speed and high torque) to more than 1,000 g/(kW⋅h) (turboprop at low power level).
The following table takes values as an example for the specific fuel consumption of several types of engines. For specific engines values can and often do differ from the table values shown below. Energy efficiency is based on a lower heating value of 42.7 MJ/kg (84.3 g/(kW⋅h)) for diesel fuel and jet fuel, 43.9 MJ/kg (82 g/(kW⋅h)) for gasoline.
"Operator Manual for 447/503/582" (PDF). Rotax. Sep 2010. Archived from the original (PDF) on 2017-07-22. Retrieved 2018-06-08. https://web.archive.org/web/20170722033156/http://docusearch.flyrotax.com/files/pdf/d04495.pdf
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
Günter Mau: Handbuch Dieselmotoren im Kraftwerks- und Schiffsbetrieb, Vieweg (Springer), Braunschweig/Wiesbaden 1984, ISBN 978-3-528-14889-8, p. 7 /wiki/ISBN_(identifier)
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
Shimizu, Ritsuharu; Tadokoro, Tomoo; Nakanishi, Toru; Funamoto, Junichi (1992-02-01). "Mazda 4-Rotor Rotary Engine for the Le Mans 24-Hour Endurance Race". SAE Technical Paper Series. Vol. 1. SAE International. p. 4. doi:10.4271/920309. ISSN 0148-7191. /wiki/Doi_(identifier)
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
"Operator Manual for 914 series" (PDF). Rotax. Apr 2010. Archived from the original (PDF) on 2017-06-11. Retrieved 2018-06-08. https://web.archive.org/web/20170611004034/http://docusearch.flyrotax.com/files/pdf/d06153.pdf
O-235 and O-290 Operator's Manual (PDF), Lycoming, Jan 2007, pp. 3–8 version-L https://www.lycoming.com/sites/default/files/O-235%26O-290%20Operator%20Manual%2060297-9.pdf
Otobe, Yutaka; Goto, Osamu; Miyano, Hideyo; Kawamoto, Michio; Aoki, Akio; Ogawa, Tohru (1989-02-01), "Honda Formula One Turbo-charged V-6 1.5L Engine", SAE Technical Paper Series, vol. 1, SAE, doi:10.4271/890877 https://www.sae.org/publications/technical-papers/content/890877/
Peter deBock (September 18, 2019). GE turbines and small engines overview (PDF). ARPA-e INTEGRATE meeting. Global Research. General Electric. https://arpa-e.energy.gov/sites/default/files/14_deBock_GE%20Turbines%20and%20small%20engines%20overview%20-%20ARPA-e%20INTEGRATE%20V2.pdf
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
"Gas Turbine Engines" (PDF). Aviation Week. January 2008. https://web.archive.org/web/20181106021310if_/http://www.geocities.jp/nomonomo2007/AircraftDatabase/AWdata/AviationWeekPages/GTEnginesAWJan2008.pdf
Michael Soroka (March 26, 2014). "Are Airplane Engines Inefficient?". http://michaelsoroka.com/2014/03/26/are-airplane-engines-inefficient/
"Advanced Gasoline Turbocharged Direct Injection (GTDI) Engine Development" (PDF). Ford Research and Advanced Engineering. May 13, 2011. http://www1.eere.energy.gov/vehiclesandfuels/pdfs/merit_review_2011/adv_combustion/ace065_rinkevich_2011_o.pdf
IO-720 Operator's Manual (PDF), Lycoming, October 2006, pp. 3–8 https://www.lycoming.com/sites/default/files/IO-720%20Operator%20Manual%2060297-19.pdf
Peter deBock (September 18, 2019). GE turbines and small engines overview (PDF). ARPA-e INTEGRATE meeting. Global Research. General Electric. https://arpa-e.energy.gov/sites/default/files/14_deBock_GE%20Turbines%20and%20small%20engines%20overview%20-%20ARPA-e%20INTEGRATE%20V2.pdf
"MT7 Brochure" (PDF). Rolls-Royce. 2012. Archived from the original (PDF) on 2017-04-20. Retrieved 2018-07-09. https://web.archive.org/web/20170420204819/https://www.rolls-royce.com/~/media/Files/R/Rolls-Royce/documents/customers/marine/mt7-brochure.pdf
Kimble D. McCutcheon (27 October 2014). "Wright R-3350 "Cyclone 18"" (PDF). Archived from the original (PDF) on 1 August 2016. https://web.archive.org/web/20160801001759/http://www.enginehistory.org/Wright/Wright%20R-3350.pdf
Muta, Koichiro; Yamazaki, Makoto; Tokieda, Junji (8 March 2004). "Development of New-Generation Hybrid System THS II - Drastic Improvement of Power Performance and Fuel Economy". SAE Technical Paper Series. Vol. 1. Society of Automotive Engineers. doi:10.4271/2004-01-0064. http://www.sae.org/technical/papers/2004-01-0064
"GA-ASI's Improved Gray Eagle Flies Over 45 Hours Non-Stop". General Atomics. 22 October 2013. Retrieved 2024-07-20. https://www.ga.com/ga-asis-improved-gray-eagle-flies-over-45-hours-non-stop
Kaiser, Sascha; Donnerhack, Stefan; Lundbladh, Anders; Seitz, Arne (27–29 July 2015). A composite cycle engine concept with hecto-pressure ratio. AIAA/SAE/ASEE Joint Propulsion Conference (51st ed.). doi:10.2514/6.2015-4028. https://www.researchgate.net/publication/278674579
inter-action association, 1987
"Marine Trent". Civil Engineering Handbook. 19 Mar 2015. https://www.civilengineeringhandbook.tk/fuel-injection/marine-trent-30.html
"Napier Nomad". Flight. 30 April 1954. https://www.flightglobal.com/pdfarchive/view/1954/1954%20-%201219.html
"The new Audi A8 3.3 TDI quattro: Top TDI for the luxury class" (Press release). Audi AG. July 10, 2000. http://www.audiworld.com/news/00/a80709/content.shtml
"Jane's Fighting Aircraft of World War II". London, UK: Bracken Books. 1989. http://www.ibiblio.org/pub/academic/history/marshall/military/airforce/engines.txt
"LM6000 Marine Gas Turbine" (PDF). General Electric. 2016. Archived from the original (PDF) on 2016-11-19. https://web.archive.org/web/20161119115601/http://www.geaviation.com/engines/docs/marine/datasheet-lm6000.pdf
"BMW 2.0d (N47)" (in French). Auto-innovations. June 2007. http://www.auto-innovations.com/site/dossier5/BMWn47t28print.html
Stock, Dieter; Bauder, Richard (1 February 1990). "The New Audi 5-Cylinder Turbo Diesel Engine: The First Passenger Car Diesel Engine with Second Generation Direct Injection". SAE Technical Paper Series. Vol. 1. Society of Automotive Engineers. doi:10.4271/900648. http://www.sae.org/technical/papers/900648
"Realizing Future Trends in Diesel Engine Development" (PDF). Society of Automotive Engineers/VAG. https://pics.tdiclub.com/data/500/19210sae972686.pdf
"MAN TGX 2019" (PDF). MAN Truck & Bus. https://www.kraftur.is/wp-content/uploads/Higher-Efficiency-and-Reliability-Model-year-2019.pdf
"DC16 078A" (PDF). Scania AB. https://www.scania.com/content/dam/scanianoe/market/master/products-and-services/engines/pdf/specs/power-gen/DC1678A_620-680kW.pdf
"Wärtsilä 20 product guide" (PDF). Wärtsilä. 14 February 2017. https://cdn.wartsila.com/docs/default-source/product-files/engines/ms-engine/product-guide-o-e-w20.pdf
"MAN TGX 2019" (PDF). MAN Truck & Bus. https://www.kraftur.is/wp-content/uploads/Higher-Efficiency-and-Reliability-Model-year-2019.pdf
"Four-Stroke Propulsion Engines" (PDF). Man Diesel. 2015. Archived from the original (PDF) on 2016-04-17. https://web.archive.org/web/20160417234415/http://marine.man.eu/docs/librariesprovider6/4-Stroke-Engines/2015-four-stroke-propulsion-engines.pdf
"The new Wärtsilä 31 engine". Wärtsilä Technical Journal. 20 October 2015. http://www.wartsila.com/twentyfour7/in-detail/the-new-wartsila-31-engine
"RTA-C Technology Review" (PDF). Wärtsilä. 2004. Archived from the original (PDF) on December 26, 2005. https://web.archive.org/web/20051226062109/http://www.wartsila.com/Wartsila/docs/en/ship_power/media_publications/brochures/product/engines/rtac_tr.pdf
"MAN B&W S80ME-C9.4-TII Project Guide" (PDF). Man Diesel. May 2014. Archived from the original (PDF) on 2016-08-09. Retrieved 2016-06-15. https://web.archive.org/web/20160809092926/http://marine.man.eu/applications/projectguides/2stroke/content/printed/S80ME-C9_4.pdf
"MAN B&W G95ME-C9.2-TII Project Guide" (PDF). Man Diesel. May 2014. p. 16. https://marine.man.eu/applications/projectguides/2stroke/content/printed/G95ME-C9_2.pdf
Tomas Kellner (17 Jun 2016). "Here's Why The Latest Guinness World Record Will Keep France Lit Up Long After Soccer Fans Leave" (Press release). General Electric. Archived from the original on 16 June 2017. Retrieved 14 April 2017. https://web.archive.org/web/20170616021542/http://www.gereports.com/bouchain/
"GE Unveils New H-Class Gas Turbine—and Already Has a First Order". October 2, 2019. https://www.powermag.com/ge-unveils-new-h-class-gas-turbine-and-already-has-a-first-order/
"ATR: The Optimum Choice for a Friendly Environment" (PDF). Avions de Transport Regional. June 2001. p. PW127F engine gaseous emissions. Archived from the original (PDF) on 2016-08-08. https://web.archive.org/web/20160808173542/http://web.fc.fi/data/files/ATR_TheOptimumChoice.pdf