Lift-Drag Characteristics and Vortex Interaction Mechanisms of Two-Dimensional Tandem Airfoils
Keywords:
tandem airfoils, lift-drag characteristics, vortex dynamics, unsteady aerodynamics, low reynolds numberAbstract
The aerodynamic performance of tandem airfoils arranged in fore-aft configurations has become an important subject in low Reynolds number aerodynamics, owing to its relevance for unmanned aerial vehicles, formation flight, and energy-efficient aircraft. While prior studies have clarified the influence of spacing and positioning on lift and drag, most have focused on time-averaged coefficients or steady conditions, leaving the dynamic relationship between vortex evolution and instantaneous aerodynamic forces insufficiently understood. This study employs large-scale transient numerical simulations to analyze two-dimensional tandem airfoils, with visualization supported by FieldView 20 and quantitative analysis performed in Tecplot. Aerodynamic coefficients, including lift, pressure drag, and viscous drag, were extracted for both fore and aft airfoils, and systematically correlated with transient vortex structures across representative time instants. The results demonstrate that the fore airfoil maintains quasi-steady performance with minimal coefficient fluctuations, serving as a stable aerodynamic baseline. By contrast, the aft airfoil exhibits strong unsteady oscillations in lift and drag, directly governed by vortex growth, detachment, and reattachment, as confirmed by surface pressure distributions and flow field contours. These findings bridge the gap between force production and vortex dynamics in tandem configurations, advancing theoretical understanding of unsteady aerodynamics and offering practical insights for UAV formation design and bio-inspired flight strategies.References
1. D. Azad, A. Sunny Kumar, V. Ramana Menda, P. K. Swain, S. Vadapalli, and D. Bommana, "The impact of flapping trajectories on the induced thrust of a Single and tandem configuration flapping foil," Journal of Offshore Mechanics and Arctic Engineering, vol. 146, no. 5, p. 051301, 2024. doi: 10.1115/1.4064500
2. D. Ma, B. Song, S. Gao, D. Xue, and J. Xuan, "Designing efficient bird-like flapping-wing aerial vehicles: insights from aviation perspective," Bioinspiration & Biomimetics, vol. 19, no. 6, p. 061001, 2024. doi: 10.1088/1748-3190/ad88c4
3. D. F. Scharpf, and T. J. Mueller, "Experimental study of a low Reynolds number tandem airfoil configuration," Journal of aircraft, vol. 29, no. 2, pp. 231-236, 1992. doi: 10.2514/3.46149
4. D. W. Fanjoy, and D. J. Dorney, "Numerical simulations of tandem-airfoil aerodynamics (No. 961295)," SAE Technical Paper, 1996.
5. G. Q. Zhang, and S. X. Yang, "Experimental investigation of the aerodynamic characteristics of tandem-airfoil based on low Reynolds number," Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics, vol. 27, no. 4, pp. 733-737, 2010.
6. H. Lee, B. Sengupta, M. S. Araghizadeh, and R. S. Myong, "Review of vortex methods for rotor aerodynamics and wake dynamics," Advances in Aerodynamics, vol. 4, no. 1, p. 20, 2022. doi: 10.1186/s42774-022-00111-3
7. Q. Zhang, R. Xue, and H. Li, "Aerodynamic exploration for tandem wings with smooth or corrugated surfaces at low Reynolds number," Aerospace, vol. 10, no. 5, p. 427, 2023. doi: 10.3390/aerospace10050427
8. H. Zhi, T. Xiao, N. Qin, S. Deng, and Z. Lu, "On-the-Fly Unsteady Adjoint Aerodynamic and Aeroacoustic Optimization Method," AIAA Journal, vol. 62, no. 12, pp. 4779-4797, 2024. doi: 10.2514/1.j064455
9. O. Pomerenk, and L. Ristroph, "Aerodynamic equilibria and flight stability of plates at intermediate Reynolds numbers," arXiv preprint arXiv:2408.08864, 2024. doi: 10.1017/jfm.2025.10275
10. F. Beaumont, S. Murer, F. Bogard, and G. Polidori, "The aerodynamic mechanisms of the formation flight of migratory birds: A narrative review," Applied Sciences, vol. 14, no. 13, p. 5402, 2024. doi: 10.3390/app14135402
11. M. Ge, G. Zhang, and X. Zhang, "Recent Developments and Future Directions in Flow Visualization: Experiments and Techniques," Fluids, vol. 10, no. 2, p. 23, 2025. doi: 10.3390/fluids10020023
12. K. S. Priyanka, J. M. L. Jeyan, and R. S. Vihar, "A Review on a Reassess Swot up on Airfoil Stall and Flow Separation Delay for a Range of Limitations Associated with Aerodynamics and Wing Profile," International Journal of Advanced Science and Technology, vol. 29, no. 06, pp. 7659-7668, 2020.
13. F. Jafari, D. Holden, R. LaFoy, P. P. Vlachos, and J. J. Socha, "The aerodynamics of flying snake airfoils in tandem configuration," Journal of Experimental Biology, vol. 224, no. 14, p. jeb233635, 2021. doi: 10.1242/jeb.233635
14. F. Beaumont, S. Murer, F. Bogard, and G. Polidori, "Aerodynamic mechanisms behind energy efficiency in migratory bird formations," Physics of Fluids, vol. 37, no. 2, 2025. doi: 10.1063/5.0252553
15. M. Graham, and J. Li, "Vortex shedding and induced forces in unsteady flow," The Aeronautical Journal, pp. 1-42, 2024.

