Various Wavy Leading-Edge Protuberance on Oscillating Hydrofoil Power Performance

Document Type : Regular Article


1 Marine and Hydrokinetic Energy Group, Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran

2 International School of Ocean Science and Engineering, Harbin Institute of Technology, Weihai, China



This paper is presented to compare various wavy leading-edge protuberances on oscillating hydrofoil performance and power efficiency. The unsteady turbulent 3D flow simulations were carried out by using the StarCCM+ software. The 3D hydrofoil with a straight at the leading-edge is a NACA0015 section with a chord of 0.24 m and an aspect ratio of 7. Four new types of hydrofoils are proposed with wavy leading-edge protuberance. The RANS equations with the realizable k–ε turbulence model are used to predict the turbulent flow around the hydrofoil under different conditions. In order to validate, a comparison of the numerical results of the forces coefficients and power efficiency of non-protuberance oscillating hydrofoil are shown in good agreement with experimental data. Then, four new profiles on the leading-edge of the hydrofoils are simulated and many results of the pressure distribution, vorticity contour, streamline velocity, and power coefficient for five hydrofoil types are presented and discussed. It is concluded that the hydrofoil of Type-M can achieve constantly higher efficiency of over 46% by employing appropriate heave and pitch amplitudes.


Abbasi, A., H. Ghassemi and D. Molyneux (2018). Numerical analysis of the hydrodynamic performance of HATST with different blade geometries. American Journal of Civil Engineering and Architecture 6(6), 236-241.##
Abbasi, A., H. Ghassemi and D. Molyneux (2019). Power and thrust coefficients of the horizontal axis tidal stream turbine with different twist angles, blade numbers, and section profiles. Scientific Journals of the Maritime University of Szczecin 57 (129), 11-20.##
Abbasi, A., H. Ghassemi and G. He (2021). Hydrodynamic performance of the 3D hydrofoil at the coupled oscillating heave and pitch motions. Strojnícky Časopis - Journal of Mechanical Engineering 71(2), 1-18.##
Ashraf, M. A., J. Young, J. C. S. Lai and M. F. Platzer (2011). Numerical analysis of an oscillating-wing wind and hydropower generator. AIAA Journal 49(7), 1374-1386.##
Boudis, A., H. Oualli, A. Benzaoui, O. Guerri, A. C. Bayeul-Laineé and O. Coutier-Delgosha (2021). Effects of non-sinusoidal motion and effective angle of attack on energy extraction performance of a fully-activated flapping foil. Journal of Applied Fluid Mechanics 14(2), 485-498.##
Dahmani, F. and C. H. Sohn (2020). Effects of the downstream spatial configuration on the energy extraction performance of tandem/parallel combined oscillating hydrofoils. Journal of Mechanical Science and Technology 34(5), 2035-2046.##
Derazgisoo, S. M., P. Akbarzadeh and A. Askari Lehdarboni (2019). Numerical simulation of unsteady flows with forced periodical oscillation around hydrofoils using locally power-law preconditioning method. European Journal of Mechanics-B/Fluids 75, 153-164.##
Dropkin, A., Custodio D., Henoch C. W., and Johari H., (2012). Computation of Flowfield Around an Airfoil with Leading-Edge Protuberances. Journal of Aircraft 49(5), 1345-1355.##
Erfort, G., T. W. Von Backström and G. Venter (2019). Numerically determined empirical relationships for a transitional turbulence model. Journal of Applied Fluid Mechanics 12(6), 2031-2038.##
Fish, F. E. and J. M. Battle (1995). Hydrodynamic design of the humpback whale flipper. Journal of Morphology 225(1), 51-60.##
Ganesh, N., S. Arunvinthan. S. P. Nadaraja (2019). Effect of surface blowing on aerodynamic characteristics of tubercled straight wing. Chinese Journal of Aeronautics 32, 1111-1120.##
Gunnarson, P., Q. Zhong and D. B. Quinn (2019). Comparing models of lateral station-keeping for pitching hydrofoils. Biomimetics 4(3), 51.##
He, G., W. Mo, Y. Gao, Z. Zhang, J. Wang, W. Wang, P. Liu and H. Ghassemi (2021). Modification of effective angle of attack on hydrofoil power extraction. Ocean Engineering 240, 109919.##
Jamil, M., A. Javed, S. I. A. Shah, A. Hameed and K. Djidjeli (2020). Performance analysis of flapping foil flow energy harvester mounted on piezoelectric transducer using meshfree particle method. Journal of Applied Fluid Mechanics 13(6), 1859-72.##
Javed, A., K. Djidjeli, A. Naveed and J. T. Xing (2018). Low Reynolds number effect on energy extraction performance of semi-passive flapping foil. Journal of Applied Fluid Mechanics 11(6), 1613–27.##
Johari, H., C. Henoch, D. Custodio and A. Levshin (2007). Effects of leading-edge protuberances on airfoil performance. AIAA Journal 45(11), 2634-2642.##
Joseph, J., S. Sridhar and S Alangar (2019). A comparison on the effect of leading edge tubercle on straight and swept wing at low reynolds number. In 46th National Conference on Fluid Mechanics and Fluid Power (FMFP2019), Coimbatore, India.##
Kanfoudi, H., G. Bellakhall, M. Ennouri, A. Bel Hadj Taher and R. Zgolli (2017). Numerical analysis of the turbulent flow structure induced by the cavitation shedding using LES. Journal of Applied Fluid Mechanics 10(3), 933-46.##
Karakas, F. and I. Fenercioglu (2016). Effect of side-walls on flapping-wing power- generation: An experimental study. Journal of Applied Fluid Mechanics 9(6), 2769–79.##
Kinsey, T. and G. Dumas (2008). Parametric study of an oscillating airfoil in a power-extraction regime. AIAA Journal 46(6), 1318-30.##
Kinsey, T. and G. Dumas (2012). Computational fluid dynamics analysis of a hydrokinetic turbine based on oscillating hydrofoils. Journal of Fluids Engineering 134(2).##
Kinsey, T. and G. Dumas (2014). Optimal operating parameters for an oscillating foil turbine at Reynolds number 500,000. AIAA Journal 52(9),1885-95.##
Kinsey, T., G. Dumas, G. Lalande, J. Ruel, A. Mehut, P. Viarouge, J. Lemay and Y. Jean (2011). Prototype testing of a hydrokinetic turbine based on oscillating hydrofoils. Renewable Energy 36(6), 1710-18.##
Li, F., P. Yu, N. Deng, G. Li and X. Wu (2022). Numerical analysis of the effect of the non-sinusoidal trajectories on the propulsive performance of a bionic hydrofoil. Journal of Applied Fluid Mechanics 15(3), 917-25.##
Li, J., C. Liu and X. Li (2021). Effects of wavy leading-edge protuberance on hydrofoil performance and its flow mechanism. Journal of Marine Science and Engineering 9(10).##
Liu, Z., H. Qu and G. Zhang (2020). Experimental and numerical investigations of a coupled-pitching hydrofoil under the fully-activated mode. Renewable Energy 155,432-46.##
Liu, Z., H. Qu and H. Shi (2019). Numerical study on hydrodynamic performance of a fully passive flow-driven pitching hydrofoil. Ocean Engineering 177, 70-84.##
Mueller, M. A. and A. R. Wallace (2006). A road map for marine renewable energy research in the UK. Journal of Marine Engineering & Technology 5(1), 35-40.##
Mumtaz Qadri M. N., A. Shahzad, F. Zhao and H. Tang (2019). An experimental investigation of a passively flapping foil in energy harvesting mode. Journal of Applied Fluid Mechanics 12(5), 1547-61.##
Pourmahdavi, M., M. N. Safari and S. Derakhshan (2019). Numerical investigation of the power extraction mechanism of flapping foil tidal energy harvesting devices. Energy & Environment 30(2), 193-211.##
Qi, Z., J. Zhai, G. Li and J. Peng (2019). Effects of non-sinusoidal pitching motion on the propulsion performance of an oscillating foil. PloS One 14(7), e0218832.##
Reddy, C. J. and A. Sathyabhama (2023). Comparative study on the effect of leading edge protuberance of different shapes on the aerodynamic performance of two distinct airfoils. Journal of Marine Science and Engineering 16(1), 157-177.##
Ribeiro, B. L. R., S. L. Frank and J. A. Franck (2020). Vortex dynamics and Reynolds number effects of an oscillating hydrofoil in energy harvesting mode. Journal of Fluids and Structures 94, 102888.##
Rostami, A. B. and M. Armandei (2017). Renewable energy harvesting by vortex-induced motions: Review and benchmarking of technologies. Renewable and Sustainable Energy Reviews 70, 193-214.##
Segura, E., R. Morales and J. A. Somolinos (2018). A strategic analysis of tidal current energy conversion systems in the European Union. Applied Energy 212, 527-51.##
Srinivas, K. S., A. Datta, A. Bhattacharyya and S. Kumar (2018). Free-stream characteristics of bio-inspired marine rudders with different leading-edge configurations. Ocean Eng. 170, 148-159.##
Utama, I., D. Satrio, M. Mukhtasor, W. Atlar, R. H. Shi and G. Thomas (2020). Numerical simulation of foil with leading-edge tubercle for vertical-axis tidal-current turbine. Journal of Mechanical Engineering and Sciences 14(3), 6982-6992.##
Wei, Z., T. H. New and Y. D. Cui (2015). An experimental study on flow separation control of hydrofoils with leading-edge tubercles at low Reynolds number. Ocean Engineering 108, 336-349.##
Wu, X., X. Zhang, X. Tian, X. Li and W. Lu (2020). A review on fluid dynamics of flapping foils. Ocean Engineering 195, 106712.##
Xiao, Q. and Q. Zhu (2014). A review on flow energy harvesters based on flapping foils. Journal of Fluids and Structures 46, 174-91.##
Xu, J., H. Zhu, D. Guan and Y. Zhan (2019). Numerical analysis of leading-edge vortex effect on tidal current energy extraction performance for chord-wise deformable oscillating hydrofoil. Journal of Marine Science and Engineering 7(11).##