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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Francisco Velásquez-SanMartín & Xabier Insausti & Marta Zárraga-Rodríguez & Jesús Gutiérrez-Gutiérrez, 2021. "A Mathematical Model for the Analysis of Jet Engine Fuel Consumption during Aircraft Cruise," Energies, MDPI, vol. 14(12), pages 1-13, June.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:12:p:3649-:d:577806
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    References listed on IDEAS

    as
    1. Yong Tian & Lili Wan & Bojia Ye & Dawei Xing, 2019. "Cruise Flight Performance Optimization for Minimizing Green Direct Operating Cost," Sustainability, MDPI, vol. 11(14), pages 1-15, July.
    2. Ming Zhang & Qianwen Huang & Sihan Liu & Yu Zhang, 2019. "Fuel Consumption Model of the Climbing Phase of Departure Aircraft Based on Flight Data Analysis," Sustainability, MDPI, vol. 11(16), pages 1-23, August.
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