Analytic solution of in-plane vortex–rotor interactions with arbitrary orientation and its impact on rotor trim-Reference-Cited by-同舟云学术

Analytic solution of in-plane vortex–rotor interactions with arbitrary orientation and its impact on rotor trim

Published:2021-04-27 Issue:3 Volume:12 Page:519-534
ISSN:1869-5582
Container-title:CEAS Aeronautical Journal
language:en
Short-container-title:CEAS Aeronaut J

Author:

van der Wall Berend G.^ORCID,van der Wall Lennert B.

Abstract

AbstractThe general aerodynamic problem of arbitrarily oriented in-plane vortex-rotor interaction was investigated in the past only by numerical simulation. Just one special case of in-plane vortex-rotor interaction with the vortex axis in flight direction was recently solved analytically. In this article, the analytical solution for arbitrary in-plane vortex orientation and position relative to the rotor is given for the first time. The solution of the integrals involved as derived here encompasses and simplifies the previous derivation of the special case significantly. Results provide the vortex impact on rotor trim (thrust, aerodynamic rolling and pitching moments about the hub) and the rotor controls required to mitigate these disturbances. For the special case with the vortex axis in flight direction, the results are identical to the former solution and results for the other in-plane vortex orientations and positions agree with the numerical results obtained so far.

Funder

Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR)

Publisher

Springer Science and Business Media LLC

Subject

Aerospace Engineering,Transportation

Link

https://link.springer.com/content/pdf/10.1007/s13272-021-00506-w.pdf

Reference16 articles.

1. Dunham, R.E., Holbrook, G.T., Mantay, W.R., Campbell, R.L., Van Gunst, R.W.: Flight-test experience of a helicopter encountering an airplane trailing vortex. In: 32nd Annual National V/STOL Forum of the American Helicopter Society, Washington, DC, (1976)

2. Mantay, W.R., Holbrook, G.T., Campbell, R.L., Tamaine, R.L.: Helicopter response of an airplane’s trailing vortex. J. Aircr. 14(4), 357–363 (1977)

3. Saito, S., Azuma, A., Kawachi, K., Okuno, Y.: Study of the dynamic response of helicopters to a large airplane wake. In: 12th European Rotorcraft Forum, Garmisch-Partenkirchen, Germany (1986)

4. Azuma, A., Saito, S., Kawachi, K.: Response of a helicopter to the tip vortices of a large airplane. VERTICA 11(1), 65–76 (1987)

5. Saito, S., Azuma, A., Okuno, Y., Hasegawa, T.: Numerical simulations of dynamic response of fixed and rotary wing aircraft to a large airplane wake. In: 13th European Rotorcraft Forum, Arles, France (1987)