Skip to main content

Abstract

Along with the emergence of electric vertical takeoff and landing (eVTOL) aircraft arose the need to predict propeller performance, namely thrust and power, at unconventional free stream angles. For cases where this angle is either \(0^\circ\) (hover) or \(90^\circ\) (forward flight), it is not difficult to estimate the performance. However, in the case of long-range eVTOLs, where the free stream angle is usually in between these angles, the propeller behaves differently. Blade element theory (BET) models can account for this but are impractical due to their large number of geometric parameters. As a substitute, we present an empirical model built on wind tunnel data that uses only propeller diameter and pitch to define the geometry, while capturing the effects of free stream angle on thrust and power. Herein, we discuss the experiment used to gather data for our model, its mathematical derivation, validation against an in-house BET model, and limitations. We end with an example demonstrating how to apply the model to solve the non-trivial problem of selecting an appropriate propeller for a tiltrotor aircraft with maximum range.

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 349.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 449.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 449.99
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. Gur O, Rosen A (2008) Comparison between blade-element models of propellers. Aeronaut J 112(1138):689–704

    Article  Google Scholar 

  2. Staples G (2014) electricaircraftguy.com. Retrieved August 16, 2021, from https://www.electricrcaircraftguy.com/2013/09/propeller-static-dynamic-thrust-equation.html

  3. Brandt JB, Selig MS (2011) Propeller performance data at low reynolds numbers. American Institute of Aeronautics and Astronautics, Orlando

    Google Scholar 

  4. Deters RW, Ananda GK, Selig MS (2014) Reyolds number effects on the performance of small-scale propellers. American Institute of Aeronautics and Astronautics, Atlanta

    Google Scholar 

  5. Dantsker OD, Caccamo M, Deters RW, Selig MS (2020) Performance testing of aero-naut CAM folding propellers. Virtual Event, American Institute of Aeronautics and Astronautics

    Google Scholar 

  6. Staub FM, et al (2021b) Wind tunnel testing of a lift-augmented quadcopter. Virtual Event, American Institute of Aeronautics and Astronautics

    Google Scholar 

  7. Staub FM, Tsukada D, Inoue S, Tsuchiya T (2021a) Modeling and design of a lift-augmented quadcopter. Virtual Event, American Institute of Aeronautics and Astronautics

    Google Scholar 

  8. Theys B, Vos GD, Schutter JD (2016) A control approach for transitioning VTOL UAVs with continuously varying transition angle and controlled by differential thrust. In: International Conference on Unmanned Aircraft Systems (ICUAS), pp 118–125

    Google Scholar 

  9. Theys B, et al (2014) Wind tunnel testing of a VTOL MAV propeller in tilted operating mode. International Conference on Unmanned Aircraft Systems (ICUAS), Orlando

    Google Scholar 

  10. Kolaei A, Barcelos D, Bramesfeld G (2018) Experimental analysis of a small-scale rotor at various inflow angles. Int J Aerospace Eng 2018(2560370):1–14

    Article  Google Scholar 

  11. McCormick BW (1979) Aerodynamics, aeronautics and flight mechanics. Wiley, Michigan

    Google Scholar 

  12. Dreier ME (2018) Introduction to helicopter and tiltrotor flight simulation. AIAA Education Series

    Google Scholar 

  13. Rotatu C, Todorov M (2017) Helicopter flight physics. In: Volkov K, (ed.) Flight physics–models, techniques and technologies. IntechOpen

    Google Scholar 

  14. Rubin RL, Zhao D (2021) New development of classical actuator disk model for propellers at incidence. AIAA J 59(3)

    Google Scholar 

  15. 河内啓二 (1999) ロータの空気力学. 日本航空宇宙学会誌 47(550):246–251

    Google Scholar 

Download references

Acknowledgements

We would like to acknowledge Japan Aerospace Exploration Agency for allowing us to use their Low Speed Wind Tunnel 1 facilities for the purpose of gathering data for this propeller model. Also, we would like to thank the University of Tokyo Doctoral Students Special Incentives Program for their financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Franco Maurice Staub .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Staub, F.M. et al. (2023). A Propeller Evaluation and Selection Tool for Multicopter and VTOL Design. In: Lee, S., Han, C., Choi, JY., Kim, S., Kim, J.H. (eds) The Proceedings of the 2021 Asia-Pacific International Symposium on Aerospace Technology (APISAT 2021), Volume 1. APISAT 2021. Lecture Notes in Electrical Engineering, vol 912. Springer, Singapore. https://doi.org/10.1007/978-981-19-2689-1_23

Download citation

  • DOI: https://doi.org/10.1007/978-981-19-2689-1_23

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-2688-4

  • Online ISBN: 978-981-19-2689-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics