A Mathematical Model for the Analysis of Jet Engine Fuel Consumption during Aircraft Cruise

Francisco Velásquez-SanMartín, Xabier Insausti, Marta Zárraga-Rodríguez and Jesús Gutiérrez-Gutiérrez
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Francisco Velásquez-SanMartín: Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 Donostia-San Sebastián, Spain
Xabier Insausti: Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 Donostia-San Sebastián, Spain
Marta Zárraga-Rodríguez: Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 Donostia-San Sebastián, Spain
Jesús Gutiérrez-Gutiérrez: Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 Donostia-San Sebastián, Spain

Energies, 2021, vol. 14, issue 12, 1-13

Abstract: In this paper we propose a mathematical model for the fuel consumption analysis during aircraft cruise. A closed-form formula that expresses the aircraft’s weight variation over time, and hence, the fuel flow rate, is obtained as a result. Furthermore, a closed-form expression of the aircraft’s main performance parameters is also obtained. We compare the values of such parameters computed by using the Piano-X software and computed by using our mathematical model. Simulation results confirm that our mathematical model provides results very close to reality. Finally, the closed-form formula of the fuel flow rate provided by our model is used to improve the calculation of the carbon dioxide emissions for four example routes, which, unlike here, are usually obtained under the assumption of a constant value of the fuel flow rate.

Keywords: fuel flow rate; fuel consumption; pollutant emissions (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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