Skip to main content
Log in

Numerical Investigation on Aerodynamic Performance and Interaction of a Lift-Offset Coaxial Rotor in Forward Flight

  • Original Paper
  • Published:
International Journal of Aeronautical and Space Sciences Aims and scope Submit manuscript

Abstract

A numerical method based on Reynolds Averaged Navier–Stokes (RANS) equations and moving overset mesh technique is developed to simulate the unsteady flow field of a rigid coaxial rotor. A high-efficient hybrid trim model is adopted to ensure the simulation accuracy of lift-offset (LOS). Cases in different advance ratios are trimmed for constant thrust coefficient and torque-balance. The effects of LOS, rotor spacing and RPM on the aerodynamic performance and interaction are analyzed. Results show that, in forward flight the lift–drag ratio can be improved by appropriate LOS. The rotor drag increases with LOS, as there is also a corresponding offset of drag. The optimum LOS varies with flight speed. At large advance ratio the interactions of the coaxial rotor are much weak, except the blade–meeting interaction. The interaction is typically illustrated by the impulsive loads of the upper blade at retreating side (270°), as the flow field is dominated by the advancing blade (90°) of the lower rotor. The interaction intensity is sensitive to LOS, rotor spacing and RPM, as it depends on the flow field gradient induced by the lower blade acting on the upper blade.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

Abbreviations

c:

Blade chord

C T, C Q :

Rotor thrust and torque coefficient

C L, C D :

Rotor lift and drag coefficient

Cl:

Blade sectional lift coefficient

C p :

Pressure coefficient

\(\mu \) :

Rotor advance ratio

Matip :

Rotor tip Mach number in hover

R:

Rotor radius

\({\theta }_{0},{\theta }_{1s}{,\theta }_{1c}\) :

Collective, lateral cyclic, and longitudinal cyclic pitch angles

S1, U1, L1:

One blade of the single, upper and lower rotors

L:

Lower rotor

U:

Upper rotor

References

  1. Ho JC, Yeo H (2020) Analytical study of an isolated coaxial rotor system with lift offset. Aerosp Sci Technol 100:105818

    Article  Google Scholar 

  2. Bagai A (2008) Aerodynamic design of the X2 technology demonstrator main rotor blade. Paper presented at the 64th American Helicopter Society Annual Forum, Montréal, Canada, Apr 29–May 1

  3. Burgess RK (2004) The ABC™ Rotor – A historical perspective. Paper presented at the 60th American Helicopter Society Annual Forum, Baltimore, MD, USA, 7–10 June

  4. Ho JC, Yeo H (2020) Rotorcraft comprehensive analysis calculations of a coaxial rotor with lift offset. Int J Aeronaut Space 21(2):418–438

    Article  Google Scholar 

  5. Schmaus JH, Chopra I (2015) Aeromechanics for a high advance ratio coaxial helicopter. Paper presented at the 71st American Helicopter Society Annual Forum, Virginia Beach, VA, USA, 5–7 May

  6. Schmaus JH, Chopra I (2017) Aeromechanics of rigid coaxial rotor models for wind-tunnel testing. J Aircr 54(4):1486–1497

    Article  Google Scholar 

  7. Go J-I, Kim D-H, Park J-S (2017) Performance and vibration analyses of lift-offset helicopters. Int J Aerosp Eng 2017:1–13

    Article  Google Scholar 

  8. Feil R, Rauleder J, Cameron CG, Sirohi J (2019) Aeromechanics analysis of a high-advance-ratio lift-offset coaxial rotor system. J Aircr 56(1):166–178

    Article  Google Scholar 

  9. Kwon Y-M, Park J-S, Wie S-Y, Kang HJ, Kim D-H (2021) Aeromechanics analyses of a modern lift-offset coaxial rotor in high-speed forward flight. Int J Aeronaut Space 22(2):338–351

    Article  Google Scholar 

  10. Hayami K, Sugawara H, Tanabe Y, Kameda M (2020) Numerical investigation of aerodynamic interference on coaxial rotor. Paper presented at the AIAA Scitech 2020 Forum, Orlando, FL, 6–10 Jan

  11. Lakshminarayan VK, Baeder JD (2010) Computational investigation of microscale coaxial-rotor aerodynamics in hover. J Aircr 47(3):940–955

    Article  Google Scholar 

  12. Qi H, Xu G, Lu C, Shi Y (2019) A study of coaxial rotor aerodynamic interaction mechanism in hover with high-efficient trim model. Aerosp Sci Technol 84:1116–1130

    Article  Google Scholar 

  13. Qi H, Xu G, Lu C, Shi Y (2019) Computational investigation on unsteady loads of high-speed rigid coaxial rotor with high-efficient trim model. Int J Aeronaut Space 20(1):16–30

    Article  Google Scholar 

  14. Wang B, Cao C, Zhao Q, Yuan X, Zhu Z (2021) Aeroacoustic characteristic analyses of coaxial rotors in hover and forward flight. Int J Aeronaut Space 22(6):1278–1292

    Article  Google Scholar 

  15. Park SH, Kwon OJ (2021) Numerical study about aerodynamic interaction for coaxial rotor blades. Int J Aeronaut Space 22(2):277–286

    Article  Google Scholar 

  16. Singh R, Kang H, Cameron C, Sirohi J (2016) Computational and Experimental Investigations of Coaxial Rotor Unsteady Loads. Paper presented at the 54th AIAA Aerospace Sciences Meeting, San Diego, California, USA, 4–8 Jan

  17. Klimchenko V, Sridharan A, Baeder JD (2017) CFD/CSD study of the aerodynamic interactions of a coaxial rotor in high-speed forward flight. Paper presented at the 35th AIAA Applied Aerodynamics Conference, Denver, Colorado, USA, 5–9 June

  18. Jia Z, Lee S (2020) Impulsive loading noise of a lift-offset coaxial rotor in high-speed forward flight. AIAA J 58(2):687–701

    Article  Google Scholar 

  19. Jia Z, Lee S (2021) Aerodynamically induced noise of a lift-offset coaxial rotor with pitch attitude in high-speed forward flight. J Sound Vib 491:115737

    Article  Google Scholar 

  20. Silwal L, Raghav V (2020) Preliminary study of the near wake vortex interactions of a coaxial rotor in hover. Paper presented at the AIAA Scitech 2020 Forum, Orlando, FL, USA, 6–10 Jan

  21. Ye Z, Xu G, Shi Y, Xia R (2017) A high-efficiency trim method for CFD numerical calculation of helicopter rotors. Int J Aeronaut Space 18(2):186–196

    Article  Google Scholar 

  22. Zhao QJ, Zhao GQ, Wang B, Wang Q, Shi YJ, Xu GH (2018) Robust Navier-Stokes method for predicting unsteady flowfield and aerodynamic characteristics of helicopter rotor. Chin J Aeronaut 31(2):214–224

    Article  Google Scholar 

  23. Pomin H, Wagner S (2002) Navier-Stokes analysis of helicopter rotor aerodynamics in hover and forward flight. J Aircr 39(5):813–821

    Article  Google Scholar 

  24. Roe PL (1981) Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 43:357–372

    Article  MathSciNet  Google Scholar 

  25. Van Leer B (1979) Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. J Comput Phys 32(1):101–136

    Article  Google Scholar 

  26. Spalart P, Allmaras S (1992) A one-equation turbulence model for aerodynamic flows. Paper presented at the 30th Aerospace Sciences Meeting and Exhibit, Reno, NV, USA, 6–9 Jan

  27. Yoon S, Jameson A (1988) Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations. AIAA J 26(9):1025–1026

    Article  Google Scholar 

  28. Passe BJ, Sridharan A, Baeder JD (2015) Computational investigation of coaxial rotor interactional aerodynamics in steady forward flight. Paper presented at the 33rd AIAA Applied Aerodynamics Conference, Dallas, TX, USA, 22–26 Jun

  29. Zhao JG, He CJ (2010) A viscous vortex particle model for rotor wake and interference analysis. J Am Helicopter Soc 55(1):12007–1200714

    Article  Google Scholar 

  30. Dingeldein RC (1954) Wind-tunnel studies of the performance of multirotor configurations. NACA Technical Note, NACA-TN-3236

  31. Barbely N, Novak L, Komerath N (2016) A study of coaxial rotor performance and flow field characteristics. Paper presented at the American Helicopter Society Technical Meeting, Fisherman's Wharf, San Francisco, USA, 20–22 Jan

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 12102154), and the Foundation of Key Laboratory of Aerodynamic Noise Control (No. ANCL20200203).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Haotian Qi or Ping Wang.

Ethics declarations

Conflict of Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Qi, H., Wang, P. & Jiang, L. Numerical Investigation on Aerodynamic Performance and Interaction of a Lift-Offset Coaxial Rotor in Forward Flight. Int. J. Aeronaut. Space Sci. 23, 255–264 (2022). https://doi.org/10.1007/s42405-022-00444-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42405-022-00444-9

Keywords

Navigation