Volume 47 Issue 5
May  2026
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DU Yiming, LI Zhihao, WANG Hao, HUANG Longtai, GAO Pan. Aerodynamic Characteristic Analysis on Coanda Effects of Multi-Element Airfoils Under Circulation Control Based on RANS[J]. Applied Mathematics and Mechanics, 2026, 47(5): 621-638. doi: 10.21656/1000-0887.460006
Citation: DU Yiming, LI Zhihao, WANG Hao, HUANG Longtai, GAO Pan. Aerodynamic Characteristic Analysis on Coanda Effects of Multi-Element Airfoils Under Circulation Control Based on RANS[J]. Applied Mathematics and Mechanics, 2026, 47(5): 621-638. doi: 10.21656/1000-0887.460006

Aerodynamic Characteristic Analysis on Coanda Effects of Multi-Element Airfoils Under Circulation Control Based on RANS

doi: 10.21656/1000-0887.460006
Funds:

The National Science Foundation of China(12202284)

  • Received Date: 2025-01-13
  • Rev Recd Date: 2025-11-11
  • Available Online: 2026-06-04
  • Publish Date: 2026-05-01
  • Combining traditional high lift devices with circulation control is expected to improve the takeoff and landing performance of aircraft. Based on the Reynolds averaged Navier-Stokes (RANS) method, the 2D NLR-7301 2-segment airfoil was taken as the research object. The circulation control was applied to the main element and the flap respectively, and the effects of jet positions, heights, and momentum coefficients on the aerodynamic characteristics of the multi-segment airfoil were systematically investigated. The results show that, the position of the jet determines the basic aerodynamic force. For a too far backward jet position, the Coanda surface will be too small to yield the wall attachment effect. Conversely, for a too far forward jet position, significant separation will easily happen on the lower surface, to reduce the lift-enhancement effect. The lift coefficient generally increases with the decrease of the jet height and the increase of the momentum coefficient, but there is a nonlinear effect by multiple parameters. A smaller jet height can bring a better lift increasement. For high jet heights, the jet velocity is low, to weaken the entrainment effect and potentially cause circulation control failure of the main element. For the circulation control of either the main element or the flap of NLR-7301, 0.03 is an appropriate momentum coefficient, and further increase will cause significant separation of the lower surface, and reduce the efficiency of lift-enhancement. From the perspective of pressure distribution, the circulation control can elevate the suction peak at the leading edge of the main element, and improve the upper surface suction and lower surface pressure. At the same time, the entrainment effect of the main element jet flow helps to eliminate the boundary layer separation at the trailing edge of the flap. Furthermore, the circulation control can still effectively enhance the aerodynamic performance of the wing under 3D conditions. However, its control effect is affected by the spanwise flow and gradually diminishes from the wing root to the tip. The above conclusions provide a reference for the design of the circulation control of multi-element airfoils. In practical applications, numerical optimization is required to find the optimal combination of control parameters, in view of both lift and drag characteristics.
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  • [1]朱自强, 吴宗成. 环量控制技术研究[J]. 航空学报, 2016, 37(2): 411-428.(ZHU Ziqiang, WU Zongcheng. Study of the circulation control technology[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(2): 411-428. (in Chinese))
    [2]谢川, 徐超, 周丹发, 等. 带襟翼导轨翼肋后缘尺寸-拓扑综合优化的摄动神经网络代理模型法[J]. 应用数学和力学, 2024, 45(1): 61-71.(XIE Chuan, XU Chao, ZHOU Danfa, et al. The perturbation neural network surrogate model method for size-topology synthetical optimization of wing rib trailing edges with flap tracks[J]. Applied Mathematics and Mechanics, 2024, 45(1): 61-71. (in Chinese))
    [3]JONES G, VIKEN S, WASHBURN A, et al. An active flow circulation controlled flap concept for general aviation aircraft applications[C]//1st Flow Control Conference. St Louis, Missouri, 2002: 3157.
    [4]张艳华, 张登成, 周章文, 等. 基于环量控制的虚拟舵面飞行器概念与设计综述[J]. 航空学报, 2024, 45(6): 629608.(ZHANG Yanhua, ZHANG Dengcheng, ZHOU Zhangwen, et al. Concept and design of virtual rudder surface aircraft based on circulation control: review[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(6): 629608. (in Chinese))
    [5]ENGLAR R J. STOL: the potential of the circulation control wing concept[J]. Naval Engineers Journal, 1979, 91(2): 99-108.
    [6]ENGLAR R J. Circulation control pneumatic aerodynamics: blown force and moment augmentation and modification; past, present and future[C]//Fluids 2000 Conference and Exhibit. Denver, CO, 2000: 2541.
    [7]PUGLIESE A J, ENGLAR R J. Flight testing of the circulation control wing: AIAA-1979-1791[R]. Reston: AIAA, 1979.
    [8]ENGLAR R J. Development of the A-6/circulation control wing-flight demonstrator configuration: DTNSRDC/ASEL-79/01[R]. Maryland: DTNSRDC, 1979.
    [9]NATO AVT-239 task group:flight demonstration of fluidic flight controls on the MAGMA subscale demonstrator aircraft[C]//AIAA Scitech 2019 Forum. San Diego, California, 2019: 0282.
    [10]SHEARWOOD T R, NABAWY M R, CROWTHER W J, et al. Three-axis control of tailless aircraft using fluidic actuators: MAGMA case study[C]//AIAA Aviation 2021 Forum. Virtual Event, 2021: 2530.
    [11]孙全兵, 史志伟, 耿玺, 等. 基于主动流动控制技术的无舵面飞翼布局飞行器姿态控制[J]. 航空学报, 2020, 41(12): 185-194.(SUN Quanbing, SHI Zhiwei, GENG Xi, et al. Attitude control of flying wing aircraft without control surfaces based on active flow control[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(12): 185-194. (in Chinese))
    [12]王磊, 杜海, 李秋实, 等. 环量控制机翼增升及滚转控制特性研究[J]. 空气动力学学报, 2021, 39(1): 43-51.(WANG Lei, DU Hai, LI Qiushi, et al. Research on the lift-enhancement and roll control characteristics of a circulation control wing[J]. Acta Aerodynamica Sinica, 2021, 39(1): 43-51. (in Chinese))
    [13]夏智勋, 罗振兵. 合成射流激励器射流矢量控制的物理因素[J]. 应用数学和力学, 2007, 28(7): 811-823.(XIA Zhixun, LUO Zhenbing. Physical factors of a primary jet vectoring control using synthetic jet actuators[J]. Applied Mathematics and Mechanics, 2007, 28(7): 811-823. (in Chinese))
    [14]ZHAO Z J, DENG X, LUO Z B, et al. Flight control of a flying wing aircraft based on circulation control using synthetic jet actuators[J]. Chinese Journal of Aeronautics, 2023, 36(10): 152-164.
    [15]LI Y, WANG X, ZHANG D. Control strategies for aircraft airframe noise reduction[J]. Chinese Journal of Aeronautics, 2013, 26(2): 249-260.
    [16]邵帅, 郭正, 贾高伟, 等. 宽速域飞翼布局后缘射流滚转控制研究[J]. 国防科技大学学报, 2022, 44(4): 101-115.(SHAO Shuai, GUO Zheng, JIA Gaowei, et al. Roll control study of flying wing based on trailing-edge jet at wide speed range[J]. Journal of National University of Defense Technology, 2022, 44(4): 101-115. (in Chinese))
    [17]MABEY D G. Analysis and correlation of data on pressure fluctuations in separated flow[J]. Journal of Aircraft, 1972, 9(9): 642-645.
    [18]MILHOLEN W E, JONES G S, CHAN D T, et al. Enhancements to the FAST-MAC circulation control model and recent high-Reynolds number testing in the national transonic facility[C]//31st AIAA Applied Aerodynamics Conference. San Diego, CA, 2013: 2794.
    [19]JONES G S, MILHOLEN W E, CHAN D T, et al. A sweeping jet application on a high Reynolds number semi-span supercritical wing configuration[C]//35th AIAA Applied Aerodynamics Conference. Denver, Colorado, 2017: 3044.
    [20]WOOD N, NIELSEN J. Circulation control airfoils: past, present, future[C]//23rd Aerospace Sciences Meeting. Reno, NV, 1985: 204.
    [21]ABRAMSON J, ROGERS E. High-speed characteristics of circulation control airfoils[C]//21st Aerospace Sciences Meeting. Reno, NV, 1983: 265.
    [22]宋彦萍, 陈焕龙, 李亚超, 等. 射流压力和高度对环量控制涡轮叶栅性能影响[J]. 工程热物理学报, 2011, 32(3): 399-402. (SONG Yanping, CHEN Huanlong, LI Yachao, et al. Effect of jet pressure and jet height on the performance of circulation control turbine cascade[J]. Journal of Engineering Thermophysics, 2011, 32(3): 399-402. (in Chinese))
    [23]宋彦萍, 陈焕龙, 李亚超, 等. 柯恩达表面形状对环量控制涡轮叶型性能影响[J]. 工程热物理学报, 2012, 33(1): 43-46. (SONG Yanping, CHEN Huanlong, LI Yachao, et al. Effect of Coanda surface shape on the performance of circulation control turbine cascade[J]. Journal of Engineering Thermophysics, 2012, 33(1): 43-46. (in Chinese))
    [24]张艳华, 张登成, 胡孟权, 等. 环量控制对翼型气动特性的作用机理[J]. 空军工程大学学报(自然科学版), 2015, 16(1): 10-13.(ZHANG Yanhua, ZHANG Dengcheng, HU Mengquan, et al. Study on aerodynamic mechanism of circulation control airfoil[J]. Journal of Air Force Engineering University (Natural Science Edition), 2015, 16(1): 10-13. (in Chinese))
    [25]郑无计, 张登成, 张艳华, 等. 超临界翼型射流环量控制的数值计算[J]. 航空计算技术, 2014, 44(3): 92-95.(ZHENG Wuji, ZHANG Dengcheng, ZHANG Yanhua, et al. Numerical calculation of circulation control by blowing on supercritical airfoil[J]. Aeronautical Computing Technique, 2014, 44(3): 92-95. (in Chinese))
    [26]乔晨亮, 许和勇, 叶正寅. 钝后缘风力机翼型的环量控制研究[J]. 力学学报, 2019, 51(1): 135-145.(QIAO Chenliang, XU Heyong, YE Zhengyin. Circulation control on wind turbine airfoil with blunt trailing edge[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 135-145. (in Chinese))
    [27]XU H Y, QIAO C L, YANG H Q, et al. Active circulation control on the blunt trailing edge wind turbine airfoil[J]. AIAA Journal, 2017, 56(2): 554-570.
    [28]SHREWSBURY G. Analysis of circulation control airfoils using an implicit Navier-Stokes solver[C]//23rd Aerospace Sciences Meeting. Reno, NV, 1985: 171.
    [29]SLOMSKI J, GORSKI J, MILLER R, et al. Numerical simulation of circulation control airfoils as affected by different turbulence models[C]//40th AIAA Aerospace Sciences Meeting & Exhibit. Reno, NV, 2002: 851.
    [30]MCGOWAN G, RUMSEY C, SWANSON R, et al. A three-dimensional computational study of a circulation control wing[C]//3rd AIAA Flow Control Conference. San Francisco, California, 2006: 3677.
    [31]SWANSON R C, RUMSEY C L. Numerical issues for circulation control calculations[C]//3rd AIAA Flow Control Conference. San Francisco, California, 2006: 3008.
    [32]SWANSON R C, RUMSEY C L. Computation of circulation control airfoil flows[J]. Computers & Fluids, 2009, 38(10): 1925-1942.
    [33]KRIST S L, BIEDRON R T, RUMSEY C L. CFL3D user’s manual-Ver. 5.0 (2nd edition)\[Z\]. Hampton, Virginia: NASA Langley Research Center, NASA/TM-1998-208444, 1998.
    [34]杜一鸣. 涡粘性湍流模型修正与三维边界层转捩预测方法研究[D]. 西安: 西北工业大学, 2021.(DU Yiming. Research on corrections of RANS eddy-viscosity turbulence model and prediction method of three-dimensional boundary-layer transition\[D\]. Xi’an: Northwestern Polytechnical University, 2021. (in Chinese))
    [35]SOMERS D M. Design and experimental results for the S809 airfoil[R]. Colorado: National Renewable Energy Laboratory, 1997. [36]苏子昂, 孙晓晶. S809翼型环量控制的射流参数研究[J]. 太阳能学报, 2020, 41(7): 359-366.(SU Ziang, SUN Xiaojing. Numerical study on effects of various parameters on aerodynamic characteristics of S809 airfoil with circulation flow control[J]. Acta Energiae Solaris Sinica, 2020, 41(7): 359-366. (in Chinese))
    [37]CODER J G. Standard test cases for transition model verification and validation in computational fluid dynamics[C]//56th AIAA Aerospace Sciences Meeting. Kissimmee, Florida, 2018.
    [38]MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal, 1994, 32(8): 1598-1605.
    [39]白亚磊, 马兴宇, 明晓. 风力机叶型增升及叶尖流动控制研究[J]. 应用数学和力学, 2011, 32(7): 774-784.(BAI Yalei, MA Xingyu, MING Xiao. Lift enhancement of the airfoil and tip flow control for wind turbine[J]. Applied Mathematics and Mechanics, 2011, 32(7): 774-784. (in Chinese))
    [40]VAN DEN BERG B, GOODEN J H M. Low-speed surface pressure and boundary layer measurement data for the NLR-7301 airfoil section with trailing edge flap: AGARD AR-303[R]. Selection of Experimental Test Cases for the Validation of CFD Codes, 1994.
    [41]KOCH J R, HOUSMAN J A, HOSSEINI S S. Microjet angle sensitivity for active flow control on multi-element high-lift systems[C]//AIAA Aviation 2023 Forum. San Diego, CA, 2023: 4307.
    [42]LANGTRY R B, MENTER F R. Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes[J]. AIAA Journal, 2009, 47(12): 2894-2906.
    [43]RUMSEY C L, YING S X. Prediction of high lift: review of present CFD capability[J]. Progress in Aerospace Sciences, 2002, 38(2): 145-180.
    [44]李立, 麻蓉, 梁益华. NLR-7301高升力翼型绕流评估计算[J]. 航空计算技术, 2014, 44(3): 12-15.(LI Li, MA Rong, LIANG Yihua. CFD validation for high-lift flow over NLR-7301 airfoil[J]. Aeronautical Computing Technique, 2014, 44(3): 12-15. (in Chinese))
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