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On the compensation and damping of roll induced by wake vortices

Published online by Cambridge University Press:  27 January 2016

L. M. B. C. Campos  and
J. M. G. Marques
L. M. B. C. Campos*
Affiliation:
CCTAE (Center for Aeronautical and Space Science and Technology), LAETA (Associeted Laboratory for Energy, Transport and Aeronautics), IST (Instituto Superior Técnico), UTL (Lisbon Technical University), Lisbon, Portugal
J. M. G. Marques*
Affiliation:
CCTAE and, ULHT (Universidade Lusófona de Humanidades e Tecnologias), Lisbon, Portugal
*
[email protected]
[email protected]
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Abstract

The effect of the wake of a leading aircraft on a following aircraft is demonstrated by calculating the rolling motion consisting of three terms: (i) the free rolling motion due to initial bank angle and roll rate; (ii) the forced wake response due the rolling moment induced by the wake encounter; (iii) the forced control response due to aileron deflection to counter the wake vortex effects. It is shown that in the absence of control action, the roll rate of the following aircraft goes through a peak, and then decays, leading to a constant asymptotic bank angle; the latter is a measure of the magnitude of the wake effect, e.g. is larger for weaker damping. The exact analytical solution of the roll equation appears as a power series of a damping factor, whose coefficients are exponential integrals of time; it is shown that the first two terms give an accuracy better than 2%. The theory is used to simulate 15 combinations of wake vortex encounters between leading and following aircraft in the five ICAO/FAA weight categories: light, medium, heavy, special (B757) and very large (A380).

Type
Research Article
Information
The Aeronautical Journal , Volume 118 , Issue 1207 , September 2014 , pp. 1039 - 1061
Copyright
Copyright © Royal Aeronautical Society 2014 

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References

1. Shen, S., Ding, F., Han, J., Lin, Y-L., Arya, S.P. and Proctor, F.H. Numerical modeling studies of wake vortices: real case simulations, 1999, AIAA Paper 99-0755, 37th Aerospace Sciences Meeting, Reno, NV, USA.Google Scholar
2. Victroy, D. and Nguyen, T. A numerical simulation study to develop an acceptable wake encounter boundary for a B737-100 airplane, 1993, AIAA paper.Google Scholar
3. Perry, R.R., Hinton, D.A. and Stuever, R.A. NASA wake vortex research for aircraft spacing, 1996, AIAA paper.Google Scholar
4. Hinton, D.A. An aircraft vortex spacing system (AVOSS) for dynamical wake vortex spacing criteria, 1996, 78th Fluid Mechanics Panel & Symposium on the Characterization and modifcation of wakes from lifting vehicles in fuids, Trondheim, Norway.Google Scholar
5. Hinton, D.A., Charnock, J.K., Bagwell, D.R. and Grigsby, D. NASA aircraft vortex spacing system development status, 1999, AIAA 37th Aerospace Sciences Meeting, Reno, NV, USA.Google Scholar
6. Jackson, W. (Ed) Wake vortex prediction: An overview, Appendix F: Hazard Defnition, 2001, Transportation Department of Canada TP 13629E.Google Scholar
7. Campos, L.M.B.C. and Marques, J.M.G. On runway capacity and wake vortex safe separation distance (SSD), 2013, Third SESAR Innovation Days, Stockholm, Eurocontrol/SESAR-JU.Google Scholar
8. Campos, L.M.B.C. and Marques, J.M.G. On wake vortex response for all combinations of five classes of aircraft, Aeronaut J, June 2004, pp 295-310.Google Scholar
9. McGowan, W.A. Calculated normal load factors on light airplanes traversing the trailing vortices of heavy transport airplanes, 1961, NASA TN D-829.Google Scholar
10. Iversen, J.D. and Bernstein, S. Trailing vortex effects on following aircraft, J Aircr, 1974, 11, (1), pp 60–61.Google Scholar
11. Nelson, R.C. The dynamic response of aircraft encountering aircraft wake turbulence, 1974, Tech Report AFFDL-TR-74-29, Air Force Flight Dynamics Laboratory, Wright-Patterson Air Force Base, OH, USA.Google Scholar
12. Sammonds, R.I. and Sronnett, G.W. Hazard criteria for wake vortex encounters, 1975, NASA TM X-62,473.Google Scholar
13. Sammonds, R.I., Stinnett, G.W. and Larsen, W.E. Wake vortex encounter hazard criteria for two aircraft classes, 1976, NASA TM X-73, 113.Google Scholar
14. Nelson, R.C. Dynamic behaviour of an aircraft encountering wake turbulence, J Aircr, 1976, 13, (9), pp 704–708.Google Scholar
15. McWilliams, I.G. Hazard extent about aircraft trailing wake vortices-analytic approach, 1977, Aircraft Wake Vortices Conference, Hallock, J.N. (ed), US Dept of Transportation Report No FAA-RD-77-68, pp 23–30.Google Scholar
16. Tinling, B.E. Estimation of vortex-induced roll excursions based on fight and simulation results, 1977, Aircraft Wake Vortices Conference, Hallock, J.N. (ed), US Dept of Transportation Report No. FAA-RD-77-68, 15-17 March, pp 11–22.Google Scholar
17. Tinling, B.E. Estimates of the effectiveness of automatic control in alleviating wake vortex induced roll excursions, 1977, NASA TM-73, 267.Google Scholar
18. McMillan, O.J. Nielsen, J.N. Schwind, R.G. and Dillenius, M.F.E. Rolling moments in a trailing-vortex flow field, J Aircr, 1978, 15, (5), pp 280–286.Google Scholar
19. Rossow, V.J. and Tinling, B.E. Research on aircraft/vortex-wake interactions to determine acceptable level of wake intensity, J Aircr, 1988, 25, (4), pp 481–492.Google Scholar
20. Stuever, R.A. and Greene, G.C. An analysis of wake-vortex hazards for typical transport aircraft, 1994, AIAA Paper 94-0810.Google Scholar
21. Hinton, D.A. and Tatnall, C.R. A candidate wake vortex strength defnition for application to the NASA aircraft vortex space system (AVOSS), 1997, NASA Tech. Memo TM-110343.Google Scholar
22. Belotserkovsky, A. Hazard defnition, Appendix F, in Wake vortex prediction: an overview, 2001, Jackson, W. (Ed), Dept Transportation Canada TP13629.Google Scholar
23. Milne-Thomson, L.M. Theoretical Aerodynamics, 1958, Dover.Google Scholar
24. Campos, L.M.B.C. Complex Analysis with Applications to Flows and Fields, 2011, CRC Press.Google Scholar
25. Hallock, J.N. and Burnham, D.C. Decay characteristics of wake vortex from jet transport aircraft, 1997, AIAA paper 97-0060, 35th Aerospace Science Meeting and Exhibition, 9-10 January 1997, Reno, NV, USA.Google Scholar
26. Campos, L.M.B.C. Transcendental Representations with Applications to Solids and Fluids, 2012, CRC Press.Google Scholar
27. Tatnall, C.R. A Proposed Methodology for Determining Wake-Vortex Imposed Aircraft Separation Constraints, 1995, MSc thesis submitted at George Washington University.Google Scholar
28. Abramowitz, M. and Stegun, I. Tables of Mathematical Functions, 1965, Dover, New York, USA.Google Scholar
29. Jackson, P. (Ed) Jane’s All the World’s Aircraft 2006-2007, 2006, MacDonald and Jane’s, London, UK.Google Scholar
30. Stuerver, R.A. Airplane data base for wake-vortex hazard defnition and assessment, 1995, Version 2.0, NASA Langley Research Center.Google Scholar
31. Heffley, R.K. and Jewell, W.F. Aircraft handling qualities data, 1972, NASA CR-2144.Google Scholar