Abstract
To analyze the influence of the chord length ratio and angle of attack on lift coefficients and explore the interaction mechanism between the two, we established a calculation model of the pressure distribution coefficient on the airfoil surface and lift coefficient of a dual-wing sail on the basis of the vortex panel method. Computational fluid dynamics was used in auxiliary calculation and analysis. Results revealed a reciprocal interference between the front-wing and rear-wing sails. The total lift coefficient of the dual-sail increased with an increase in the front sail chord length. The lift coefficient of the rear sail decreased with an increase in the front sail chord length or angle of attack. The front sail wake affected the pressure distribution on the upper and lower surfaces of the rear sail leading edge.
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Abdellatif, O. E., and Gawad, A. F. A., 2000. An experimental investigation of closely interfering airfoils at a low Reynolds number. 5th Biennial Conference on Engineering Systems Design & Analysis. Saint-Dizier, 10–13.
Anderson Jr. J. D., 2010. Fundamentals of Aerodynamics. Tata McGraw-Hill Education, New York, 361–366.
Atkinson, G. M., 2019. Analysis of lift, drag and CX polar graph for a 3D segment rigid sail using CFD analysis. Journal of Marine Engineering & Technology, 18 (1): 36–45.
Buhler, M., Heinz, C., and Kohaut, S., 2018. Dynamic simulation model for an autonomous sailboat. 11th International Robotic Sailing Conference 2018. Southampton, 1–9.
Cai, Y., Liu, G., Zhu, X., Tu, Q., and Hong, G., 2019. Aerodynamic interference significance analysis of two-dimensional front wing and rear wing airfoils with stagger and gap variations. Journal of Aerospace Engineering, 32 (6): 04019098.
Cokelet, E. D., Meinig, C., Lawrence-Slavas, N., Stabeno, P. J., Mordy, C. W., Tabisola, H. M., et al., 2016. The use of saildrones to examine spring conditions in the Bering Sea. Oceans’ 15 MTS/IEEE. Washington, 1–7.
Deng, Y., Zhang, X., Zhang, G., and Huang, C., 2019. Parallel guidance and event-triggered robust fuzzy control for path following of autonomous wing-sailed catamaran. Ocean Engineering, 190: 106442.
Dominguez-Brito, A. C., Valle-Fernández, B., Cabrera-Gámez, J., Ramos-de-Miguel, A., and García, J. C., 2016. A-TIRMA G2: An oceanic autonomous sailboat. 8th International Robotic Sailing Conference 2015. Springer International Publishing, Aland, 1–8.
Fossati, F., 2009. Aero-Hydrodynamics and the Performance of Sailing Yachts. Adlard Coles Nautical, London, 4–6.
Katz, J., and Plotkin, A., 2001. Low-Speed Aerodynamics. Cambridge University Press, Cambridge, 284–288.
Kuethe, A. M., and Chow, C. Y., 1997. Foundations of Aerodynamics: Bases of Aerodynamic Design. John Wiley & Sons Inc., New Jersey, 156–160.
Li, G. J., Li, F., and Shi, W., 2006. Numerical simulations of tandem-airfoil. Aircraft Design, 01: 19–24 (in Chinese with English abstract).
Li, Y. Z., Sun, C. J., and Lu, Y. G., 2016. Studying the impact of aerodynamic characteristics due to the relative position of the wing for the tandem wing. Aircraft Design, 36 (6): 32–36 (in Chinese with English abstract).
Lian, Y., Broering, T., Hord, K., and Prater, R., 2014. The characterization of tandem and corrugated wings. Progress in Aerospace Sciences, 65: 41–69.
Liu, H., 2018. Linear strength vortex panel method for NACA 4412 Airfoil. IOP Conference Series: Materials Science and Engineering. IOP Publishing, Dubai, 326 (1): 012016.
Ma, Y., Bi, H., Gan, R., Li, X., and Yan, X., 2018. New insights into airfoil sail selection for sail-assisted vessel with computational fluid dynamics simulation. Advances in Mechanical Engineering, 10 (4): 1–12.
Miller, P., Judge, C., Sewell, D., and Willamson, S., 2018. An alternative wing sail concept for small autonomous sailing craft. Robotic Sailing 2017. Springer, Cham, 3–17.
Rokhsaz, K., and Selberg, B. P., 1986. Dual-wing systems with decalage angle optimization. Journal of Aircraft, 23 (5): 444–448.
Scharpf, D. F., and Mueller, T. J., 1992. Experimental study of a low Reynolds number tandem airfoil configuration. Journal of Aircraft, 29 (2): 231–236.
Sheldahl, R. E., and Klimas, P. C., 1981. Aerodynamic characteristics of seven symmetrical airfoil sections through 180-degree angle of attack for use in aerodynamic analysis of vertical axis wind turbines. Sandia National Laboratories, SAND-80-2114, 9–12.
Silva, M. F., Friebe, A., Malheiro, B., Guedes, P., Ferreira, P., and Waller, M., 2019a. Rigid wing sailboats: A state of the art survey. Ocean Engineering, 187: 106–150.
Silva, M. F., Malheiro, B., Guedes, P., and Ferreira, P., 2019b. Airfoil selection and wingsail design for an autonomous sailboat. Iberian Robotics Conference. Springer, Cham, 305–316.
Souppez, J. B. R., Arredondo-Galeana, A., and Viola, I. M., 2019. Recent advances in numerical and experimental downwind sail aerodynamics. Journal of Sailing Technology, 4 (1): 45–65.
Sun, Z. Y., Yu, J. C., Zhang, A. Q., and Jin, Q. L., 2019. Analysis of influencing factors on lift coefficients of autonomous sailboat double sail propulsion system based on vortex panel method. China Ocean Engineering, 33 (6): 1–7.
Tretow, C., 2017. Design of a free-rotating wing sail for an autonomous sailboat. Master thesis. KTH Royal Institute of Technology.
Yu, J. C., Sun, Z. Y., and Zhang, A. Q., 2018a. Research status and prospect of autonomous sailboats. Journal of Mechanical Engineering, 54 (24): 98–110 (in Chinese with English abstract).
Yu, J. C., Sun, Z. Y., and Zhang, A. Q., 2018b. The present status of environmental energy harvesting and utilization technology of marine robots. Robot, 40 (1): 89–101 (in Chinese with English abstract).
Zeng, X., and Zhang, H., 2018. Experimental study of the aerodynamics of sail in natural wind. Polish Maritime Research, 25 (s2): 17–22.
Zhu, J. Y., Jiang, L., and Zhao, H., 2016. Effect of wind fluctuating on self-starting aerodynamics characteristics of VAWT. Journal of Central South University, 23 (8): 2075–2082.
Acknowledgements
The authors thank all other members of the Seagull Autonomous Sailboat project for their help. The study is supported by the Foundation of State Key Laboratory of Robotics (No. 2020-Z14), the Jiang Xin-song Innovation Foundation (No. Y8F7010701), the National Natural Science Foundation of China (No. 41906173), and the China Postdoctoral Science Foundation (No. 2019M662874).
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Sun, Z., Hu, F., Yu, J. et al. Influence of Autonomous Sailboat Dual-Wing Sail Interaction on Lift Coefficients. J. Ocean Univ. China 21, 656–668 (2022). https://doi.org/10.1007/s11802-022-4752-5
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DOI: https://doi.org/10.1007/s11802-022-4752-5