Hostname: page-component-cb9f654ff-9knnw Total loading time: 0 Render date: 2025-09-02T08:17:04.130Z Has data issue: false hasContentIssue false
  • English
  • Français

Prediction of drag and lift using velocity and vorticity fields

Published online by Cambridge University Press:  04 July 2016

G. Zhu ,
P. W. Bearman  and
J. M. R. Graham
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
Get access Rights & Permissions [Opens in a new window]

Abstract

Closed-form equations for the evaluation of forces on a body in compressible, inviscid and viscous flows are presented. The expressions which are used to calculate lift and drag require only knowledge of the velocity field (and its derivatives) on an arbitrarily chosen contour enclosing the body. Various forms of the force equations are presented, both for two-dimensional and three-dimensional flows. The work is an extension of earlier research by Noca) developed for incompressible flows. The equations are implemented on a number of two-dimensional aerofoil cases and the results show excellent agreement with surface and wake integration approaches.

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 106 , Issue 1064 , October 2002 , pp. 547 - 554
Copyright
Copyright © Royal Aeronautical Society 2002 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1 Betz, A. Ein verfahren zur directen ermittlung des profilwiderstandes. ZFM, 1925, 16, pp 42–44.Google Scholar
2 Cummings, R., Giles, M. and Shrinivas, G. Analysis of the elements of drag in three-dimensional viscous and inviscid flows, June 1996, AIAA, Paper 96-2482.Google Scholar
3 Lock, R.C. The prediction of the drag of aerofoils and wings at high subsonic speeds. RAE Tech Memo, 1985, AERO 2044.Google Scholar
4 Maskell, E.C. Progress towards a method for the measurement of the components of the drag of a wing of finite span. RAE Tech Report 1973,72232.Google Scholar
5 Noca, F. On the Evaluation of Time-dependent Fluid-dynamic Forces on Bluff Bodies, PhD thesis, 1997, Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena.Google Scholar
6 Noca, F. Shiels, D. and Jeon, D. Measuring instantaneous fluid dynamic forces on bodies, using only velocity fields and their derivatives, 1997, J Fluid Struct, 11, pp 345–350.Google Scholar
7 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, 1999, J Fluid Struct, 13, pp 551–578.Google Scholar
8 Saffman, P.G. Vortex Dynamics, 1993, Cambridge: Cambridge University Press.Google Scholar
9 Wu, J.C., Hackett, J.E. and Lilley, D.E. A generalised wake-integral approach for drag determination in three-dimensional flows, Jan 1979, AIAA Paper 79-0279.Google Scholar
10 Unal, M.F., Lin, J.C. and Rockwell, D. Force prediction by PIV imaging: a momentum-based approach, J Fluid Struct, 1997, 11.Google Scholar
11 Wu, J.Z. and Wu, J.M. Vorticity dynamics on boundaries, Advances in Applied Mechanics, 1996, 32, pp 119–275.Google Scholar
12 Cook, P.H., McDonald, M.A. and Firmin, M.C.P. Aerofoil RAE 2822- Pressure distributions, and boundary layer and wake measurements, 1979, AGARD-AR-138, pp.A6-l - A6-77.Google Scholar