The design of hydraulic machinery blades is usually conducted for optimal working conditions. Deviation from the optimal working condition indicates the presence of an angle (angle of attack) between the incoming flow and the chord length of the blade section hydrofoil. This angle causes the fluid to separate in advance during movement around the blade, which affects the uniformity of velocity distribution and reduces the performance of hydraulic machinery. In this paper, the Hicks-Henne function and the NSGA-ll genetic algorithm are used to optimize the design of the bionic hydrofoils under different angles of attack, and the optimization results of the hydrofoils under different angles of attack are averaged. The study found that: The convergence and rapidity of the NSGA-II algorithm are better than those of the NACA algorithm. The optimized hydrofoils have better lift-drag performance, its application to the blades of the water jet propulsion pump can effectively improve the head and efficiency of the pump and substantially widen the high-efficiency area of the pump. Simultaneously, the speed non-uniformity coefficient of the impeller inlet is reduced, thus improving the applicability of the pump under different operating conditions.
ZhangJZhangRHuangZ.Bionic investigation of a dolphin head-based hydrofoil with emphasis on energy performance and flow characteristics. Ocean Eng2023; 270: 113692.
2.
WangLFengJLuJ, et al. Novel bionic wave-shaped tip clearance toward improving hydrofoil energy performance and suppressing tip leakage vortex. Energy2024; 290: 130261.
3.
KimYIKimSYangHM, et al. Analysis of internal flow and cavitation characteristics for a mixed-flow pump with various blade thickness effects. J Mech Sci Technol2019; 33(7): 3333–3344.
4.
MengRChenLZhaoR, et al. Integrated design of aerodynamic and anti-flutter performance of offshore wind turbine airfoil based on full information cooperative game method. Ocean Eng2023; 281: 114967.
5.
ZhouSZhouHYangK, et al. Research on blade design method of multi-blade centrifugal fan for building efficient ventilation based on Hicks-Henne function. Sustain Energy Technol Assess2021; 43: 100971.
6.
van GorpRvan der HeijdenMAmin SadeghiM, et al. Bottom-up design of porous electrodes by combining a genetic algorithm and a pore network model. Chem Eng J2023; 455: 139947.
7.
YanHSuXZhangH, et al. Design approach and hydrodynamic characteristics of a novel bionic airfoil. Ocean Eng2020; 216: 108076.
8.
RenL.Progress in the bionic study on anti-adhesion and resistance reduction of terrain machines. Sci China Ser E2009; 52(2): 273–284.
9.
RenLLiangY.Preliminary studies on the basic factors of bionics. Sci China Technol Sci2014; 57(3): 520–530.
10.
XuHJPanCYXieHB, et al. Dynamics modeling and simulation of a bionic swim bladder system in underwater robotics. J Bionic Eng2008; 5(1): 66–71.
11.
LiDYangQYangW, et al. Bionic leading-edge protuberances and hydrofoil cavitation. Phys Fluids2021; 33(9): 093317.
12.
LinYLiXZhuZ, et al. An energy consumption improvement method for centrifugal pump based on bionic optimization of blade trailing edge. Energy2022; 246: 123323.
13.
WuFXieDZhangJ, et al. Improvement of steam turbine blade foil with biomimetic design and its influence on aerodynamic performance. In: Turbo expo: power for land, sea, and air, 2019, vol. 58714, p.V008T29A022. American Society of Mechanical Engineers.
14.
HuangSHuYWangY.Research on aerodynamic performance of a new dolphin head-based bionic airfoil. Energy2020; 214: 118179.
15.
BiswasSHarishR.Effect of unsteady cavitation on hydrodynamic performance of NACA 4412 hydrofoil with novel triangular slot. Heliyon2025; 11: e42266.
16.
LiHYuAChenJ, et al. Study of the hydrodynamic characteristics of the blade based on a bionic hydrofoil at low flow velocity. Ocean Eng2025; 318: 120102.
17.
HicksRMHennePA.Wing design by numerical optimization. J Aircr1978; 15(7): 407–412.
18.
KulfanBBussolettiJ. Fundamental parametric geometry representations for aircraft component shapes. In: 11thAIAA/ISSMO multidisciplinary analysis and optimization conference, 2006, p.6948.
MastersDAPooleDJTaylorNJ, et al. Influence of shape parameterization on a benchmark aerodynamic optimization problem. J Aircr2017; 54(6): 2242–2256.
21.
KostasKVAmiralinASagimbayevS, et al. Parametric model for the reconstruction and representation of hydrofoils and airfoils. Ocean Eng2020; 199: 107020.
22.
TashniziESTaheriAAHekmatMH.Investigation of the adjoint method in aerodynamic optimization using various shape parameterization techniques. J Braz Soc Mech Sci2010; 32: 176–186.
23.
XiaopingZJifengDWeijiL, et al. Robust airfoil optimization with multi-objective estimation of distribution algorithm. Chin J Aeronaut2008; 21(4): 289–295.
24.
WatanabeSHiroyasuTMikiM. Neighborhood cultivation genetic algorithm for multi- objective optimization problems. In: Proceedings of the 4th Asia-Pacific conference on simulated evolution and learning (SEAL-2002), 2002, pp.198–202.
25.
DebKPratapAAgarwalS, et al. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput2002; 6(2): 182–197.
26.
NandagopalRANarasimaluS.Multi-objective optimization of hydrofoil geometry used in horizontal axis tidal turbine blade designed for operation in tropical conditions of South East Asia. Renew Energy2020; 146: 166–180.
27.
AminiYKianmehrBEmdadH.Dynamic stall simulation of a pitching hydrofoil near free surface by using the volume of fluid method. Ocean Eng2019; 192: 106553.
28.
WangGSenocakIShyyW, et al. Dynamics of attached turbulent cavitating flows. Prog Aerosp Sci2001; 37(6): 551–581.
29.
HuangBZhaoYWangG.Large eddy simulation of turbulent vortex-cavitation interactions in transient sheet/cloud cavitating flows. Comput Fluids2014; 92: 113–124.
30.
RoohiEZahiriAPPassandideh-FardM.Numerical simulation of cavitation around a two-dimensional hydrofoil using VOF method and LES turbulence model. Appl Math Model2013; 37(9): 6469–6488.
31.
ZhangYGuoZZhuX, et al. Investigation of aerodynamic forces and flow field of an H-type vertical axis wind turbine based on bionic airfoil. Energy2022; 242: 122999.
