Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-22T10:53:09.146Z Has data issue: false hasContentIssue false
  • English
  • Français

A new induced-drag prediction method using Oswatitsch’s expression

Published online by Cambridge University Press:  04 July 2016

C. Veilleux ,
C. Masson  and
I. Paraschivoiu
C. Veilleux
Affiliation:
Chaire en Aéronautique J.-A. BombardierÉcole Polytechnique de MontréalMontréal (Québec), Canada
C. Masson
Affiliation:
Département de génie mécaniqueÉcole de technologie supérieureMontréal (Québec), Canada
I. Paraschivoiu
Affiliation:
Chaire en Aéronautique J.-A. BombardierÉcole Polytechnique de Montréal , Montréal (Québec), Canada
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper presents a critical study related to the evaluation and breakdown of total wing drag based on solutions of the Euler equations for subsonic and transonic three-dimensional flows.

This study clearly identifies the false entropy production present in all discretised Euler solutions as the main source of the discrepancies between the drag predictions produced by body-surface pressure integrations and far-field methods. A good understanding of the entropy production mechanisms present in discretised threedimensional Euler solutions has lead to an original procedure for the total drag breakdown and a new method for the evaluation of the induced drag. This new technique is based on body-surface pressure integrations and Oswatitsch’s expression integrated over suitable integration surfaces. In contrast with the various methods for the drag breakdown and the evaluation of the induced drag available in the literature, the proposed technique uses an exact formulation and is simple to implement. Using detailed drag calculations on an elliptic wing (the Xt = 1·0 wing) and the ONERA M6 wing, it has been shown that this new technique is not strongly sensitive to grid refinement and to the level of false entropy production in the calculation domain.

Type
Research Article
Information
The Aeronautical Journal , Volume 103 , Issue 1024 , June 1999 , pp. 299 - 307
Copyright
Copyright © Royal Aeronautical Society 1999 

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.)

References

1. Yu, N.J., Chen, H.C., Samant, S.S. and Ruppert, P.E. Inviscid Drag Calculations for Transonic Flows, AIAA Paper 83-1928, July 1983.Google Scholar
2. Lock, R.C. The prediction of the drag of aerofoils and wings at high subsonic speeds, Aeronaut J, 1986, 90, (896), pp 207–226.Google Scholar
3. Van Dam, C.P., Nikfetrat, K., Wong, K. and Vijgen, P.M.H.W. Drag prediction at subsonic and transonic speeds using Euler methods, J Aircr, 1995, 32, (4), pp 839–845.Google Scholar
4. Cummings, R.M., Giles, M.B. and Shrinivas, G.N. Analysis of the Elements of Drag in Three-Dimensional Viscous and Inviscid Flows, AIAA Paper 96-2482-CP, June 1996.Google Scholar
5. Van dam, C.P. and Nikfetrat, K. Accurate prediction of drag using euler methods, J Aircr, 1991, 29, (3), pp 516–519.Google Scholar
6. Masson, C., Veilleux, C. and Paraschivoiu, I. Airfoil wave-drag prediction using Euler solutions of transonic flows, Submitted to the Journal of AircraftGoogle Scholar
7. Jameson, A. and Schmidt, W. and Turkel, E., Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes, AIAA Paper 81-1259, June 1981.Google Scholar
8. Van Der Vooren, J. and Sloof, J.W. CFD-Based drag prediction; state-of-the-art, theory, prospects, National Aerospace Lab, 1990, NLR TP 90247 U.Google Scholar
9. Van Dam, C.P., Nikfetrat, K., Vuen, P.M.H.W. and Chang, I. C. Prediction of Drag at Subsonic and Transonic Speeds Using Euler Methods, AIAA Paper 92-0169, 1992.Google Scholar
10. Steger, J.L. and Barrett, S.B. Shock waves and drag in the numerical calculation of isentropic transonic flow, NASA, 1972, TN D-6997.Google Scholar
11. Oswatitsch, K. Gas Dynamics, Academic Press, 1956.Google Scholar
12. Maskell, E.C. Progress Towards a Method for the Measurements of the Components of the Drag of a Wing of Finite Span, Royal Aircraft Establishment, 1972, 72232.Google Scholar
13. Schmitt, V. and Charpin, F. Pressure Distribution on the ONERA M6 Wing at Transonic Mach Numbers, B1.1-B1.44, Experimental Data Base for Computer Program Assessment, 1979, AGARD AR-138.Google Scholar
14. Hunt, D.L., Cummings, R.M. and Giles, M.B. Determination of Drag from Three-Dimensional Viscous and Inviscid Flowfield Computations, AIAA Paper 97-2257, June 1997.Google Scholar
15. Janus, J.M. and Chatteriee, A. Use of a wake-integral method for computational drag analysis, AIAA J, 1995, 34, (1), pp 188–190.Google Scholar