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Semi-Empirical Vortex Step Method for the Lift and Induced Drag Loading of 2D or 3D Wings
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Abstract
The familiar “vortex step” method for calculating the lift slope, spanwise distribution of lift, and aerodynamic center position is reviewed and enhanced to more accurately locate the wing aerodynamic center and to accommodate arbitrary spanwise variations of sweep, chord, twist, camber, flaps, and dihedral. Lifting and downwash line position and shape are adjusted to account for semi-empirical effects of planform and airfoil properties. Vector and matrix methods are then applied to solve for the spanwise distribution of lift normal to the spar, or for the required twist to obtain a prescribed loading. For induced drag, an “apparent downwash” method is proposed to reveal the negative induced drag of winglets. Then, predicted 2D and 3D wing characteristics are compared to test data. Finally, the methods are applied to the design and analysis of unique wing configurations.
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Barnes, J., "Semi-Empirical Vortex Step Method for the Lift and Induced Drag Loading of 2D or 3D Wings," SAE Technical Paper 975559, 1997, https://doi.org/10.4271/975559.Also In
References
- Prandtl, L. Applications of Modern Hydrodynamics to Aeronautics NACA Report 116 35 1921
- Munk, M. The Minimum Induced Drag of Aerofoils NACA Report 121 386 1921
- Prandtl, L. Theory of Lifting Surfaces NACA TN 9 1918
- Glauert, H. The Elements of Aerofoil and Airscrew Theory Macmillan 1926
- Hoerner, S. Fluid Dynamic Lift , and Fluid Dynamic Drag Hoerner Fluid Dynamics Brick Town, N.J. 1985
- Lam, F. Maull, D. Induced Drag of a Crescent Wing Planform J. Aircraft 30 5 Oct '93
- Jones, R. Correction of the Lifting Line Theory for the Effect of the Chord NACA TN 817 1941
- Cohen, D. A Method for Determining the Camber and Twist of a Surface to Support a Given Distribution of Lift, With Applications to the Load Over a Sweptback Wing NACA Report 826 550 1942
- Zlotnick, M. A Simplified Mathematical Model for Calculating Aerodynamic Loading and Downwash for Wing-Fuselage Combinations With Wings of Arbitrary Planform NACA TN 3057 1954
- Munk, M. Airship Theory NACA TR 184 & 191 1923 1924
- Jones, R. Properties of Low-Aspect Ratio Pointed Wings at Speeds Below and Above the Speed of Sound NACA Report 835 1945
- Pistolesi, E. Considerazione sul problema del biplane Aerotecnica Rome 1933
- Thwaites, B. Incompressible Aerodynamics Dover 341 1987
- Wieghardt, K. Chordwise Load Distribution of a Simple Rectangular Wing NACA TM 963 1940
- Busemann, A. Aerodynamic Forces at Supersonic Speeds 5th Volta Conference 1935
- Mutterperl, W. The Calculation of Span Load Distributions on Swept-Back Wings NACA TN 834 '41
- Van Dorn, N. DeYoung, J. A Comparison of Three Theoretical Methods of Calculating Span Load Distribution on Swept Wings NACA RM A7C31 1947
- Krienes, K. The Elliptic Wing Based on the Potential Theory NACA TM 971 1941
- Scholz, N. Beitrage zur Theorie der tragenden Flache 1950
- DeYoung, J. Theoretical Additional Span Loading Characteristics of Wings With Arbitrary Sweep, Aspect Ratio, and Taper Ratio NACA TN 1491 1947
- Hopkins, E. Lift, Pitching Moment, and Span Load Characteristics of Wings at Low Speed as Affected by Variations of Sweep and Aspect Ratio NACA TN 2284 1951
- Weber, J. Brebner, G. Low-Speed Tests on 45-deg Swept-Back Wings, Part 1: Pressure Measurements on Wings of Aspect Ratio 5 Reports and Memoranda 2882 Aeronautical Research Council 1958
- Schlichting, H. Truckenbrodt, E. Aerodynamik des Flugzeuges Springer-Verlag 70 164 1960
- Cone, C. The Theory of Induced Lift and Minimum Induced Drag of Nonplanar Lifting Surfaces NACA TR R-139 1962
- Kuethe, A. Chow, C. Foundations of Aerodynamics John Wiley&Sons 135 1986
- Whitcomb, R. A Design Approach and Selected Wind-Tunnel Results at High Subsonic Speeds for Wing-Tip Mounted Winglets NASA TN D-8260 '76
- Kroo, I. Design and Analysis of Optimally-Loaded Lifting Systems AIAA 84-2507 1984
- Barnes, J. Philip Math Modeling of Airfoil Geometry SAE 961317 1996
- Nickel, K. Wohlfahrt, M. Tailless Aircraft in Theory and Practice AIAA Educ. Series 240 '94
- Wolkovitch, J. The Joined Wing: An Overview AIAA 85-0274 1985
- Bagwill, T. Aerodynamic Investigation of Twist and Cant Angles for a Joined Wing Transport Aircraft AIAA A97-15130 '97
- Van Dam, C. et.al Experimental Investigation on the Effect of Crescent Planform on Lift and Drag J. Aircraft 28 11 Nov '91
- Ardonceau, P. Aerodynamic Properties of Crescent Wing Planforms J. Aircraft 31 2 Mar '93