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Prediction of drag and lift of wings from velocity and vorticity fields

Published online by Cambridge University Press:  03 February 2016

G. Zhu
Affiliation:
Department of Aeronautics, Imperial College, London UK
P. W. Bearman
Affiliation:
Department of Aeronautics, Imperial College, London UK
J. M. R. Graham
Affiliation:
Department of Aeronautics, Imperial College, London UK

Abstract

The present paper continues the work of Zhu et al. The closed-form expressions for the evaluation of forces on a body in compressible, viscous and rotational flow derived in the previous paper have been extended to different forms. The expressions require only a knowledge of the velocity field (and its derivatives) in a finite and arbitrarily chosen region enclosing the body. The equations are implemented on three-dimensional inviscid flows over wings and wing/body combinations. Further implementation on three-dimensional viscous flows over wings has also been investigated.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2007 

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References

1. Betz, A.. Ein verfahren zur direkten ermittlung des profilwiderstandes, ZFM, February 1925, 16, pp 4244.Google Scholar
2. Maskell, E.C.. Progress towards a method for the measurement of the components of the drag of a wing of finite span, January 1973, Royal Aircraft Establishment, TR 72232.Google Scholar
3. Van Dam, C.P. and Nikfetrat, K.. Accurate prediction of drag using Euler methods, J Aircr, 1992, 29, (3), pp 516519.Google Scholar
4. Mathias, D.L., Ross, J.C. and Cummings, R.M.. Wake integration to predict wing span loading from a numerical simulation, J Aircr, 1995, 32, (5), pp 11651167.Google Scholar
5. Giles, M. and Cummings, R.M.. Wake integration for three-dimensional flowfield computations: theoretical development, J Aircr, March-April 1999, 36, (2), pp 357365.Google Scholar
6. Hunt, D.L., Cummings, R.M. and Giles, M.B.. Wake integration for three-dimensional flowfield computations: applications, J Aircr, March-April 1999, 36, (2), pp 366373.Google Scholar
7. Peace, A.J.. Private communication, 2001, ARA.Google Scholar
8. Noca, F., Shiels, D. and Jeon, D.. A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivatives, J Fluids and Structures, 1999, 13, pp 551578.Google Scholar
9. Zhu, G., Bearman, P.W. and Graham, J.M.R.. Prediction of drag and lift by using velocity and vorticity fields, Aeronaut J, October 2002, 106, (1064), pp 547554.Google Scholar
10. Veilleux, C., Masson, C. and Parashivoiu, I.. A New induced-drag prediction method using Oswatitsch’s expression, Aeronaut J, June 1999, 103, (1024), pp 299307.Google Scholar
11. Wong, K.J., Ayers, T.K. and Van Dam, C.P.. Accurate drag prediction – a prerequisite for drag reduction research, SAE Transactions, J of Aerospace, Section 1, 102, 1993, pp 18821891.Google Scholar
12. Van Dam, C.P., Nikfetrat, K. and Wong, K.. Drag prediction at subsonic and transonic speeds using Euler methods, J Aircr, 1995, 32, (4), pp 839845.Google Scholar
13. Hunt, D.L.. Development and application of far-field drag extraction techniques for complex viscous flows, April 2000, RAeS Annual Conference.Google Scholar
14. Bonhaus, D.L. and Wornom, S.F.. Relative efficiency and accuracy of two Navier-Stokes codes for simulating attached transonic flow over wings, 1991, NASA TP 3061.Google Scholar
15. Nikfetrat, K., Van Dam, C.P., Vijgen, P.M.H.W. and Chang, I.C.. Prediction of drag at sbsonic and transonic speeds using Euler methods, January 1992, AIAA Paper 92-0169.Google Scholar
16. Schmitt, V. and Charpin, F.. Pressure distribution on the ONERA-M6_wing at transonic Mach number, May 1979, AGARD AR-138.Google Scholar
17. Bailey, R.H. and Smith, A.R.. Private Communication, 1999, Rolls-Royce.Google Scholar
18. Noca, F.. On the Evaluation of Time-dependant Fluid-dynamic Forces on Bluff Bodies, 1997, PhD thesis, Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA, USA.Google Scholar
19. Wu, J.Z. and Wu, J.M.. Vorticity dynamics on boundaries, Advances in Applied Mech, 1996, 32, pp 119275.Google Scholar