Volume 39 Issue 8
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JIANG Zhuyu, FAN Zhaolin, QIU Ming, et al. Turbine through flow design based on time-marching method[J]. Journal of Aerospace Power, 2024, 39(8):20220072 doi: 10.13224/j.cnki.jasp.20220072
Citation: JIANG Zhuyu, FAN Zhaolin, QIU Ming, et al. Turbine through flow design based on time-marching method[J]. Journal of Aerospace Power, 2024, 39(8):20220072 doi: 10.13224/j.cnki.jasp.20220072

Turbine through flow design based on time-marching method

doi: 10.13224/j.cnki.jasp.20220072
  • Received Date: 2022-02-17
    Available Online: 2024-03-14
  • To establish reasonable turbine design parameter calculation method and guarantee the accuracy of design work on the basis of quadratic function, an approximate computation method of S2 stream surface circumferential angle and blockage coefficient inside blade row passage was proposed for Euler equation time-marching through design method. The through-flow design method utilized finite volume method to solve 2D unconservative Euler equation in orthogonal curvilinear coordinate. Exact Riemann solution was used to calculate interface parameters of grid element. And third order Godunov scheme with TVD property was implemented. While semi-implicit scheme was employed in temporal discretization., the blade profile loss, secondary loss, and blade tip clearance leakage loss were computed by empirical loss model. Then secondary loss and tip clearance leakage loss could be redistributed radially. On the other hand, shock wave loss was regarded as accurate after solution. A single stage turbine was then designed with the through flow design method. After that, 3D blade shapes were profiled according to through flow result. Next, 3D viscous CFD software was used to simulate turbine and verify the effectiveness of through flow design method. Given the same inlet and outlet conditions, compared with 3D result, through flow mass flow result was about 1.46% higher, expansion ratio was 0.005 lower, and isentropic efficiency was 0.0077 higher. Finally, it can be concluded that through flow design method required fewer number of grid points, featuring higher computation efficiency with favorable convergence. Besides, the calculation method of blade row passage S2 stream surface circumferential angle and blockage coefficient was rational. And also, accurate results of turbine overall performance, and dimensionless parameter like flow coefficient, loading coefficient, and reaction can be obtained.

     

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  • [1]
    WU C H. A general theory of three-dimensional flow in subsonic and supersonic turbomachines of axial,radial,and mixed-flow types[J]. Journal of Fluids Engineering,1952,74(8): 1363-1380.
    [2]
    NOVAK R A. Streamline curvature computing procedures for fluid-flow problems[J]. Journal of Engineering for Power,1967,89(4): 478-490. doi: 10.1115/1.3616716
    [3]
    MARSH H. A digital computer program for the through-flow fluid mechanics in an arbitrary turbomachine using a matrix method: Reports and Memoranda No.3509[R]. London: Aeronautical Research Council,1968.
    [4]
    袁宁,顾中华,冯国泰,等. 轴流压气机三种S2流面计算程序的比较[J]. 燃气涡轮试验与研究,1998,11(1): 33-38. YUAN Ning,GU Zhonghua,FENG Guotai,et al. Comparison of three programs for calculating S2 flow surface of axial compressor[J]. Gas Turbine Experiment and Research,1998,11(1): 33-38. (in Chinese

    YUAN Ning, GU Zhonghua, FENG Guotai, et al. Comparison of three programs for calculating S2 flow surface of axial compressor[J]. Gas Turbine Experiment and Research, 1998, 11(1): 33-38. (in Chinese)
    [5]
    DAVIS W R,MILLAR D A J. A comparison of the matrix and streamline curvature methods of axial flow turbomachinery analysis,from a user’s point of view[J]. Journal of Engineering for Power,1975,97(4): 549-558. doi: 10.1115/1.3446059
    [6]
    杨金广,王春雪,王大磊,等. 基于时间推进的通流计算方法: 现状及展望[J]. 航空学报,2017,38(9): 58-70. YANG Jinguang,WANG Chunxue,WANG Dalei,et al. Time marching based throughflow method: current status and future development[J]. Acta Aeronautica et Astronautica Sinica,2017,38(9): 58-70. (in Chinese

    YANG Jinguang, WANG Chunxue, WANG Dalei, et al. Time marching based throughflow method: current status and future development[J]. Acta Aeronautica et Astronautica Sinica, 2017, 38(9): 58-70. (in Chinese)
    [7]
    阎超. 计算流体力学方法及应用[M]. 北京: 北京航空航天大学出版社,2006. YAN Chao. Computational fluid dynamics method and its application[M]. Beijing: Beijing University of Aeronautics & Astronautics Press,2006. (in Chinese

    YAN Chao. Computational fluid dynamics method and its application[M]. Beijing: Beijing University of Aeronautics & Astronautics Press, 2006. (in Chinese)
    [8]
    陈海生,谭春青. 叶轮机械内部流动研究进展[J]. 机械工程学报,2007,43(2): 1-12. CHEN Haisheng,TAN Chunqing. Review of investigation into internal flow of turbomachinery[J]. Journal of Mechanical Engineering,2007,43(2): 1-12. (in Chinese doi: 10.3901/JME.2007.02.001

    CHEN Haisheng, TAN Chunqing. Review of investigation into internal flow of turbomachinery[J]. Journal of Mechanical Engineering, 2007, 43(2): 1-12. (in Chinese) doi: 10.3901/JME.2007.02.001
    [9]
    SPURR A. The prediction of 3D transonic flow in turbomachinery using a combined throughflow and blade-to-blade time marching method[J]. International Journal of Heat and Fluid Flow,1980,2(4): 189-199. doi: 10.1016/0142-727X(80)90013-2
    [10]
    袁宁,张振家,顾中华,等. 涡喷发动机压气机三种 S2 流面计算程序的比较[J]. 推进技术,1998,19(1): 50-56. YUAN Ning,ZHANG Zhenjia,GU Zhonghua,et al. Comparison of three programs for calculating S2 streamsurface of turbojet compressor[J]. Journal of Propulsion Technology,1998,19(1): 50-56. (in Chinese

    YUAN Ning, ZHANG Zhenjia, GU Zhonghua, et al. Comparison of three programs for calculating S2 streamsurface of turbojet compressor[J]. Journal of Propulsion Technology, 1998, 19(1): 50-56. (in Chinese)
    [11]
    DAWES W N. Towards improved throughflow capability: the use of 3D viscous flow solvers in a multistage environment[R]. Brussels,Belgium: ASME Gas Turbine and Aeroengine Congress and Exposition,1990.
    [12]
    BARALON S,ERIKSSON L E,HÅLL U. Validation of a throughflow time-marching finite-volume solver for transonic compressors[R]. Stockholm,Sweden: ASME International Gas Turbine and Aeroengine Congress & Exhibition,1998.
    [13]
    ROSA TADDEI S,LAROCCA F. CFD-based analysis of multistage throughflow surfaces with incidence[J]. Mechanics Research Communications,2013,47: 6-10. doi: 10.1016/j.mechrescom.2012.10.005
    [14]
    LI D Y,CHEN H L,SONG Y P,et al. Numerical investigation of two-phase wet steam flow with spontaneous condensation based on Euler S2 calculation method[R]. Montreal,Canada: ASME Turbo Expo 2015: Turbine Technical Conference and Exposition,2015.
    [15]
    IVANOV M,KHARKOVSKI S V,MAGERRAMOVA L,et al. Interdisciplinary complex design of modern high and low pressure turbines[R]. Brisbane,Australia: 28th International Congress of the Aeronautical Sciences,2012.
    [16]
    YAO Z,HIRSCH C. Throughflow model using 3D Euler or Navier-Stokes solvers[R]. 湖北 宜昌: 中国工程热物理学会热机气动热力学学术会议,1995.
    [17]
    DAMLE S V,DANG T Q,REDDY D R. Throughflow method for turbomachines applicable for all flow regimes[J]. Journal of Turbomachinery,1997,119(2): 256-262. doi: 10.1115/1.2841108
    [18]
    SIMON J F. Contribution to throughflow modelling for axial flow turbomachines[D]. Liege: University of Liege,2007.
    [19]
    ADAMCZYK J J. Model equation for simulating flows in multistage turbomachinery[R]. NASA TM-86869,1984.
    [20]
    NIGMATULLIN R Z,IVANOV M J. The mathematical models of flow passage for gas turbine engines and their components: AGARD-LS-198[R]. Paris: Advisory Group for Aerospace Research and Development,1994.
    [21]
    IVANOV M,NIGMATULLIN R. Interconnected multi-level design of gas turbine elements: AIAA 2003-1215 [R]. Reno,Nevada,US: AIAA,2003.
    [22]
    王仲奇. 透平机械三元流动计算及其数学和气动力学基础[M]. 北京: 机械工业出版社,1983. WANG Zhongqi. Three-dimensional flow calculation of turbomachinery and its mathematical and aerodynamic basis[M]. Beijing: China Machine Press,1983. (in Chinese

    WANG Zhongqi. Three-dimensional flow calculation of turbomachinery and its mathematical and aerodynamic basis[M]. Beijing: China Machine Press, 1983. (in Chinese)
    [23]
    MOFFITT T,SZANCA E M,WHITNEY W,et al. Design and cold-air test of single-stage uncooled turbine with high work output[R]. NASA TP-1680,1980.
    [24]
    BIDER B,MONROE D E,SZANCA E M,et al. Cold-air investigation of a turbine for high- temperature-engine application I: turbine design and overall stator performance[R]. NASA TN D-3751,1967.
    [25]
    HOHEISEL H. Test cases for computation of internal flows in aero engine components[R]. AGARD-AR-275,1990.
    [26]
    NOERA F,SATTA A. Through flow calculation in axial flow turbines using a quasi-orthogonal solver[R]. Stockholm,Sweden: ASME International Gas Turbine & Aeroengine Congress and Exhibition,1998.
    [27]
    黄庆南. 航空发动机设计手册:第10册 涡轮[M]. 北京: 航空工业出版社,2001.
    [28]
    GLASSMAN A. Blading models for TURBAN and CSPAN turbomachine design codes[R]. NASA CR-191164,1993.
    [29]
    王松涛,袁宁,王仲奇,等. 具有TVD性质的三阶精度GODUNOV格式在粘性流场计算中的应用[J]. 工程热物理学报,1999,20(3): 299-303. WANG Songtao,YUAN Ning,WANG Zhongqi,et al. Application of third order Godunov scheme with TVD property to viscous flow field[J]. Journal of Engineering Thermophysics,1999,20(3): 299-303. (in Chinese

    WANG Songtao, YUAN Ning, WANG Zhongqi, et al. Application of third order Godunov scheme with TVD property to viscous flow field[J]. Journal of Engineering Thermophysics, 1999, 20(3): 299-303. (in Chinese)
    [30]
    李得英. Euler方程S2流面计算方法及透平内蒸汽自发凝结流动数值研究[D]. 哈尔滨: 哈尔滨工业大学,2016. LI Deying. Numerical research on the Euler S2 stream surface calculation method and the steam flow with spontaneous condensation in steam turbine[D]. Harbin: Harbin Institute of Technology,2016. (in Chinese

    LI Deying. Numerical research on the Euler S2 stream surface calculation method and the steam flow with spontaneous condensation in steam turbine[D]. Harbin: Harbin Institute of Technology, 2016. (in Chinese)
    [31]
    傅德薰,马延文. 计算流体力学[M]. 北京: 高等教育出版社,2002. FU Dexun,MA Yanwen. Computational fluid dynamics[M]. Beijing: Higher Education Press,2002. (in Chinese

    FU Dexun, MA Yanwen. Computational fluid dynamics[M]. Beijing: Higher Education Press, 2002. (in Chinese)
    [32]
    IVANOV M Y,KRUPA V G,NIGMATULLIN R Z. A high-accuracy version of Godunov’s implicit scheme for integrating the Navier-Stokes equations[J]. USSR Computational Mathematics and Mathematical Physics,1989,29(3): 170-179. doi: 10.1016/0041-5553(89)90164-X
    [33]
    LI D Y,SONG Y P,FU Y F,et al. Numerical investigation of equilibrium wet steam flow property based on S2 calculation code[R]. Dusseldorf,Germany: ASME Turbo Expo 2014: Turbine Technical Conference and Exposition,2014
    [34]
    昌中宏,唐海龙. 航空发动机整机二维气动热力数值模拟[J]. 推进技术,2012,33(3): 333-337. CHANG Zhonghong,TANG Hailong. Aerothermodynamic numerical simulation of integrated aero engine system[J]. Journal of Propulsion Technology,2012,33(3): 333-337. (in Chinese

    CHANG Zhonghong, TANG Hailong. Aerothermodynamic numerical simulation of integrated aero engine system[J]. Journal of Propulsion Technology, 2012, 33(3): 333-337. (in Chinese)
    [35]
    石靖,刘冬华,周颖,等. 高亚音速涡轮平面叶栅损失模型的对比分析[R]. 湖北 宜昌: 中国航空学会第十三届叶轮机学术讨论会,2005.
    [36]
    BALJE’O E,BINSLEY R L. Axial turbine performance evaluation: Part A loss-geometry relationships[J]. Journal of Engineering for Power,1968,90(4): 341-348. doi: 10.1115/1.3609211
    [37]
    SULLEREY R K,KUMAR S. A study of axial turbine loss models in a streamline curvature computing scheme[J]. Journal of Engineering for Gas Turbines and Power,1984,106(3): 591-597. doi: 10.1115/1.3239611
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