Study on the mechanism of backward-facing step flow controlled by DBD plasma excitation
-
摘要:
为探究介质阻挡放电(dielectric barrier discharge, DBD)等离子体控制外掠后台阶流场结构机理,通过数值模拟获得了DBD激励诱导流场结构与大尺度自由驻涡耦合流动过程,利用本征正交分解(proper orthogonal decomposition, POD)分析方法提取了耦合流场的主要含能模态分布特征,基于湍动能分布等流场特征信息探讨了流动结构特性及其相互作用,分析对比了不同激励参数下的流场结构发展演变过程。结果表明:非定常等离子体激励增强了剪切层的动量传输能力,使得回流区中的小尺度涡结构被抑制,分离区长度减小。通过POD模态分析,发现中频激励与低、高频激励实现流动控制的机理存在显著差异。低、高频激励下剪切层位置的往复摆动是等离子体激励作用下诱导流场的主要运动形式,而中频激励的作用则体现在对小尺度湍流脉动作用上。
Abstract:To probe for the structural mechanisms governing flow patterns over a backward-facing step controlled by dielectric barrier discharge (DBD) plasma, numerical simulations were employed to analyze the induced flow field structure coupled with large-scale, free-trapped vortices. The proper orthogonal decomposition (POD) method was utilized to extract the primary energetic modes within this coupled flow field. Leveraging this characteristic information, an investigation into the flow structure’s distinct features and interactions was conducted, along with a comparison of the developmental evolution of the flow field structure under varying excitation parameters. The results indicated that unsteady plasma excitation enhanced the momentum transfer capability of the shear layer, thereby suppressing the formation of small-scale vortex structures and reducing the length of the separation region. Through POD modal analysis, it revealed that there were significant disparities in the mechanism of flow control under different excitation frequencies. Specifically, under both low and high-frequency excitations, the predominant form of motion in the plasma-induced flow field involved a reciprocating motion of the shear layer. However, medium-frequency excitation exerted its influence primarily through small-scale turbulent pulsations.
-
-
[1] 王威, 王军, 尹国庆, 等. 低雷诺数下翼型气动特性和涡脱落模态分析[J]. 华中科技大学学报(自然科学版), 2019, 47(12): 1-6. WANG Wei, WANG Jun, YIN Guoqing, et al. Aerodynamic characteristics and vortex shedding patterns analysis of airfoil at low Reynolds number conditions[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2019, 47(12): 1-6. (in ChineseWANG Wei, WANG Jun, YIN Guoqing, et al. Aerodynamic characteristics and vortex shedding patterns analysis of airfoil at low Reynolds number conditions[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2019, 47(12): 1-6. (in Chinese) [2] 王靖宇, 周申申, 胡兴军. 等离子体控制下后台阶流动的数值模拟[J]. 重庆理工大学学报(自然科学), 2019, 33(2): 56-61. WANG Jingyu, ZHOU Shenshen, HU Xingjun. Numerical simulation of backward-facing step flow controlled by plasma[J]. Journal of Chongqing University of Technology (Natural Science), 2019, 33(2): 56-61. (in ChineseWANG Jingyu, ZHOU Shenshen, HU Xingjun. Numerical simulation of backward-facing step flow controlled by plasma[J]. Journal of Chongqing University of Technology (Natural Science), 2019, 33(2): 56-61. (in Chinese) [3] 胡如云, 王亮, 符松. 后台阶流动及其控制述评[J]. 中国科学: 物理学 力学 天文学, 2015, 45(12): 44-53. HU Ruyun, WANG Liang, FU Song. Review of backward-facing step flow and separation reduction[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 2015, 45(12): 44-53. (in ChineseHU Ruyun, WANG Liang, FU Song. Review of backward-facing step flow and separation reduction[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 2015, 45(12): 44-53. (in Chinese) [4] CHEN Lin, ASAI K, NONOMURA T, et al. A review of Backward-Facing Step (BFS) flow mechanisms, heat transfer and control[J]. Thermal Science and Engineering Progress, 2018, 6: 194-216. doi: 10.1016/j.tsep.2018.04.004 [5] BREDERODE V. Three-dimensional effects in nominally two-dimensional flows[D]. London, UK. Imperial College London, 1972. [6] ARMALY B F, DURST F, PEREIRA J C F, et al. Experimental and theoretical investigation of backward-facing step flow[J]. Journal of Fluid Mechanics, 1983, 127: 473-496. doi: 10.1017/S0022112083002839 [7] GONZALEZ P, QIN Ning. Plasma models in hybrid RANS-LES simulation for backward facing step flow control[M]//Advances in Effective Flow Separation Control for Aircraft Drag Reduction. Cham: Springer International Publishing, 2019: 93-112. [8] 李应红, 吴云, 梁华, 等. 等离子体激励气动力学探索与展望[J]. 力学进展, 2022, 52(1): 1-32. LI Yinghong, WU Yun, LIANG Hua, et al. Exploration and outlook of plasma-actuated gas dynamics[J]. Advances in Mechanics, 2022, 52(1): 1-32. (in Chinese doi: 10.6052/1000-0992-21-044LI Yinghong, WU Yun, LIANG Hua, et al. Exploration and outlook of plasma-actuated gas dynamics[J]. Advances in Mechanics, 2022, 52(1): 1-32. (in Chinese) doi: 10.6052/1000-0992-21-044 [9] 秦勇. 合成射流控制压气机叶栅角区分离的机理研究[D]. 哈尔滨: 哈尔滨工业大学, 2018. QIN Yong. Study on mechanism of synthetic jet controlling corner separation of compressor cascade[D]. Harbin: Harbin Institute of Technology, 2018. (in ChineseQIN Yong. Study on mechanism of synthetic jet controlling corner separation of compressor cascade[D]. Harbin: Harbin Institute of Technology, 2018. (in Chinese) [10] 孟宣市, 宋科, 龙玥霄, 等. NS-SDBD等离子体流动控制研究现状与展望[J]. 空气动力学学报, 2018, 36(6): 901-916. MENG Xuanshi, SONG Ke, LONG Yuexiao, et al. Airflow control by NS-SDBD plasma actuators[J]. Acta Aerodynamica Sinica, 2018, 36(6): 901-916. (in Chinese doi: 10.7638/kqdlxxb-2018.0078MENG Xuanshi, SONG Ke, LONG Yuexiao, et al. Airflow control by NS-SDBD plasma actuators[J]. Acta Aerodynamica Sinica, 2018, 36(6): 901-916. (in Chinese) doi: 10.7638/kqdlxxb-2018.0078 [11] CORKE T C, ENLOE C L, WILKINSON S P. Dielectric barrier discharge plasma actuators for flow control[J]. Annual Review of Fluid Mechanics, 2010, 42: 505-529. doi: 10.1146/annurev-fluid-121108-145550 [12] 郑海波, 高超, 武斌, 等. 基于等离子体激励的湍流边界层减阻控制[J]. 航空动力学报, 2023, 38(5): 1157-1165. ZHENG Haibo, GAO Chao, WU Bin, et al. Drag reduction control of turbulent boundary layer based on plasma actuation[J]. Journal of Aerospace Power, 2023, 38(5): 1157-1165. (in ChineseZHENG Haibo, GAO Chao, WU Bin, et al. Drag reduction control of turbulent boundary layer based on plasma actuation[J]. Journal of Aerospace Power, 2023, 38(5): 1157-1165. (in Chinese) [13] ZHANG Xin, LI Huaxing, HUANG Yong, et al. Leading-edge flow separation control over an airfoil using a symmetrical dielectric barrier discharge plasma actuator[J]. Chinese Journal of Aeronautics, 2019, 32(5): 1190-1203. doi: 10.1016/j.cja.2019.03.010 [14] 万曦. 等离子体流动控制的研究现状与发展前景[J]. 飞航导弹, 2020(10): 63-68. WAN Xi. Research status and development prospect of plasma flow control[J]. Aerodynamic Missile Journal, 2020(10): 63-68. (in ChineseWAN Xi. Research status and development prospect of plasma flow control[J]. Aerodynamic Missile Journal, 2020(10): 63-68. (in Chinese) [15] SUJAR-GARRIDO P, BENARD N, MOREAU E, et al. Modifications on the reattachment region of a turbulent step flow using a dielectric barrier discharge actuator[C]// Fluid-Structure-Sound Interactions and Control. Berlin: Springer Berlin, Heidelberg, 2016: 313-318. [16] 路宽, 张亦弛, 靳玉林, 等. 本征正交分解在数据处理中的应用及展望[J]. 动力学与控制学报, 2022, 20(5): 20-33. LU Kuan, ZHANG Yichi, JIN Yulin, et al. Application and outlook of proper orthogonal decomposition in data processing[J]. Journal of Dynamics and Control, 2022, 20(5): 20-33. (in ChineseLU Kuan, ZHANG Yichi, JIN Yulin, et al. Application and outlook of proper orthogonal decomposition in data processing[J]. Journal of Dynamics and Control, 2022, 20(5): 20-33. (in Chinese) [17] MOHAMMADSHAHI S, SAMSAM-KHAYANI H, DENG Zhiwen, et al. Experimental investigation of flow dynamics of oscillating jet emitted in confined and non-confined backward-facing step geometries[J]. European Journal of Mechanics - B/Fluids, 2021, 88: 89-102. doi: 10.1016/j.euromechflu.2021.03.002 [18] KAPIRIS P G, MATHIOULAKIS D S. Experimental study of vortical structures in a periodically perturbed flow over a backward-facing step[J]. International Journal of Heat and Fluid Flow, 2014, 47: 101-112. doi: 10.1016/j.ijheatfluidflow.2014.03.004 [19] 赵朋龙, 陈耀慧, 董刚, 等. 基于本征正交分解的湍流边界层中条带结构实验研究[J]. 南京理工大学学报, 2019, 43(6): 752-758. ZHAO Penglong, CHEN Yaohui, DONG Gang, et al. Experimental study on streaky structures in turbulent boundary layer based on POD[J]. Journal of Nanjing University of Science and Technology, 2019, 43(6): 752-758. (in ChineseZHAO Penglong, CHEN Yaohui, DONG Gang, et al. Experimental study on streaky structures in turbulent boundary layer based on POD[J]. Journal of Nanjing University of Science and Technology, 2019, 43(6): 752-758. (in Chinese) [20] 孙翀, 石磊, 沈昕, 等. 风力机翼型在失速工况下非定常流场的本征正交分解分析[J]. 工程热物理学报, 2021, 42(4): 894-904. SUN Chong, SHI Lei, SHEN Xin, et al. Analysis of POD for the flow field of the wind turbine airfoil at high angle of attack[J]. Journal of Engineering Thermophysics, 2021, 42(4): 894-904. (in ChineseSUN Chong, SHI Lei, SHEN Xin, et al. Analysis of POD for the flow field of the wind turbine airfoil at high angle of attack[J]. Journal of Engineering Thermophysics, 2021, 42(4): 894-904. (in Chinese) [21] SOLOVIEV V R. Analytical estimation of the thrust generated by a surface dielectric barrier discharge[J]. Journal of Physics D: Applied Physics, 2012, 45(2): 025205. doi: 10.1088/0022-3727/45/2/025205 [22] BAUGHN J, PORTER C, PETERSON B, et al. Momentum transfer for an aerodynamic plasma actuator with an imposed boundary layer[C]//44th AIAA Aerospace Sciences Meeting and Exhibit. Reno, US: AIAA, 2006: AIAA2006-168. [23] SHYY W, JAYARAMAN B, ANDERSSON A. Modeling of glow discharge-induced fluid dynamics[J]. Journal of Applied Physics, 2002, 92(11): 6434-6443. doi: 10.1063/1.1515103 [24] VISBAL M, GAITONDE D. Control of vortical flows using simulated plasma actuators[C]//44th AIAA Aerospace Sciences Meeting and Exhibit. Reno, US: AIAA, 2006: AIAA2006-505. [25] 张攀峰, 刘爱兵, 王晋军. 非定常等离子激励器诱导平板边界层的流动结构[J]. 中国科学: 技术科学, 2011, 41(4): 482-492. ZHANG Panfeng, LIU Aibing, WANG Jinjun. Flow structure of boundary layer induced by unsteady plasma exciter on flat plate[J]. Scientia Sinica (Technologica), 2011, 41(4): 482-492. (in Chinese doi: 10.1360/ze2011-41-4-482ZHANG Panfeng, LIU Aibing, WANG Jinjun. Flow structure of boundary layer induced by unsteady plasma exciter on flat plate[J]. Scientia Sinica (Technologica), 2011, 41(4): 482-492. (in Chinese) doi: 10.1360/ze2011-41-4-482 [26] LU K, JIN Y L, CHEN Y S, et al. Review for order reduction based on proper orthogonal decomposition and outlooks of application in mechanical systems[J]. Mechanical Systems and Signal Processing, 2019, 123: 264-297. doi: 10.1016/j.ymssp.2019.01.018 [27] SIROVICH L. Turbulence and the dynamics of coherent structures: Ⅰ Coherent structures[J]. Quarterly of Applied Mathematics, 1987, 45(3): 561-571. doi: 10.1090/qam/910462 [28] CHEN Hao, REUSS D L, HUNG D L, et al. A practical guide for using proper orthogonal decomposition in engine research[J]. International Journal of Engine Research, 2013, 14(4): 307-319. doi: 10.1177/1468087412455748 -

下载: