Parametric Model of Vortex Generators of Wind Turbine Considering Inter-effect of Winglets

doi:10.3901/JME.2018.02.201

Abstract

Abstract: The problem of large amounts of girds caused by solid boundary of vortex generators (VGs) in computation fluid dynamic modeling can be resolved by employing parametric model. Considering inter-effect between the wings, based on the theories of lift-line and delta-wing, a parametric model of an array of VGs which are composed of anti-rotating delta wings, is proposed to simulate the effect of shedding vortex on the aerodynamic of lift blade. The maximum circulation is computed from the model and added into the equation of N-S as a source term. The circulation of blade with VGs are calculated employing the VG-arrays model and the single-wing model without considering the inter-effect, the results are compared with the experimental results from literature, the comparison shows:when 0° ≤ α ≤ 18°, the maximum error of the array model is only 4.8%; when α=24°, the error reaches 13.2% which is still much lower than the result of the single-wing model (49.4%). The performance of DU91-W2-250 blade section with five pairs of VGs is modeled; the comparison with the experimental results show the array type model has higher agreement with the results of experiment. The simulation results of fluid field employing two models, real structure model and parametric model of array VGs, have high agreement.

Key words: numerical simulation, parametric model, vortex generators, wind turbine

CLC Number:

ZHAO Zhenzhou, YAN Chang, WANG Tongguang, SHEN Wenzhong, ZHENG Yuan, XU Bofeng. Parametric Model of Vortex Generators of Wind Turbine Considering Inter-effect of Winglets[J]. Journal of Mechanical Engineering, 2018, 54(2): 201-208.

References

[1] TIMMER W A,VANROOY R P J O M,Summary of the Delft university wind turbine dedicated airfoils[J]. Journal of Solar Energy Engineering,2003,125(4):488-496.
[2] 李涛,赵振宙,陈景茹,等. 考虑转捩的风力机涡流发生器数值模拟[J]. 机械工程学报,2017,53(4):149-154. LI Tao,ZHAO Zhenzhou,CHEN Jingru,et al. Numerical simulation of wind turbine vortex generators with transition modeling[J]. Journal of Mechanical Engineering,2017,53(4):149-154.
[3] BENDER E E,ANDERSON B H,YAGLE P J. Vortex generator modeling for Navier-Stokes codes[C/CD]//3rd ASME/JSME Fluids Engineering Conference,ASME Paper FEDSM99-6919 San Francisco:ASME,1999.
[4] JIRASEK A. Vortex-generator model and its application to flow control[J]. Journal of Aircraft,2005,42(6):1486-1491.
[5] JULIANNE C D. Modeling vortex generators in a navier-stokes code[J]. AIAA Journal,2011,49(6):748-759.
[6] KUNIK W G. Application of a computational model for vortex generators in subsonic internal flows[C]//AIAA/ASME/SAE/ASEE 22nd Joint Propulsion Conference,1986,Huntsville:1-25.
[7] BRAY T P. A Parametric study of vane and air jet vortex generators[D]. Cranfield:Cranfield University,1998.
[8] WENDT B J. Parametric study of vortices shed from airfoil vortex generators[J]. AIAA,2004,42(11):2185-2195.
[9] VELTE C M,OKULOV V L,HANSEN M O L. Multiple vortex structures in the wake of a rectangular winglet in ground effect[J]. Experimental Thermal and Fluid Science,2016,72:31-39.
[10] MAY N E. A new vortex generator model for use in complex configuration CFD solvers.[C]//19th Applied Aerodynamic Conference,Anehaim CA,11-14 June 2001:AIAA Paper 01-31014.
[11] BOOKER C,ZHANG X. Large-scale source term modeling of vortex generation[C]//27th AIAA Applied Aerodynamics Conference,San Antonio,2009:1-18.
[12] STILLFRIED F V,WALLIN S,JOHANSSON A V. Application of a statistical vortex generator model approach on the short-chord flap of a three-element airfoil[C]//KAT net Ⅱ Conference on Key Aerodynamic Technologies,Bremen,2009:1-9.
[13] NIKOLAOU I G,POLITIS E S,CHAVIAROPOULOS P K. Modeling the flow around airfoils equipped with vortex generators using a modified 2D Navier-Stokes solver[J]. Journal of Solar Energy Engineering,2005,127(2):223-233.
[14] ZHANG L,YANG K,XU J Z. Modeling of delta-wing type vortex generators[J]. China Tech. Sci.,2011,54:277-285.
[15] TRAUB L W. Theoretical and experimental investigation of biplane delta wings[J]. Journal of Aircraft,2001,38:536-546.
[16] PAULEY W R,EATON J K. An experimental study of the development of longitudinal vortex Pairs embedded in a turbulent boundary layer[C]//AIAA 19th Fluid Dynamics Plasma Dynamics and Lasers Conference,Honolulu,1987:1-10.
[17] POLBAMUS E C. A concept of the vortex lift of sharp-edge delta wings based on a leading-edge-suction analogy[R]. Washinton, D. C.:NASA technical note,NASA TN D-3767,1966.
[18] 赵振宙,李涛,王同光,等. 转捩对风力机涡流发生器气动性能影响的数值模拟研究[J]. 中国电机工程学报,2016,36(4):1036-1041. ZHAO Zhenzhou,LI Tao,WANG Tongguang,et al. Numerical research on effect of Transition on Aerodynamic performance of vortex generators of wind turbine[J]. Proceedings of the CSEE,2016,36(4):1036-1041.
[19] 赵振宙,李涛,王同光,等.基于转捩模型的风力机涡流发生器气动特性分析[J]. 中国电机工程学报,2016,36(10):2271-2277. ZHAO Zhenzhou,LI Tao,WANG Tongguang,et al. Analysis on the performance of vortex generators of wind turbine based on transition model[J]. Proceedings of the CSEE,2016,36(10):2271-2277.