Volume 38 Issue 5
May  2023
Turn off MathJax
Article Contents
FAN Liangzhong, GUO Kangkang, SHU Chen, et al. Stability analysis of continuous rotating detonation in hollow combustor[J]. Journal of Aerospace Power, 2023, 38(5):1090-1101 doi: 10.13224/j.cnki.jasp.20210548
Citation: FAN Liangzhong, GUO Kangkang, SHU Chen, et al. Stability analysis of continuous rotating detonation in hollow combustor[J]. Journal of Aerospace Power, 2023, 38(5):1090-1101 doi: 10.13224/j.cnki.jasp.20210548

Stability analysis of continuous rotating detonation in hollow combustor

doi: 10.13224/j.cnki.jasp.20210548
  • Received Date: 2021-09-26
    Available Online: 2023-02-03
  • Rotating detonation experiments were conducted with various mass flow (i.e., 142.7−493.9 g/s) in a hollow combustor. The propagation velocity of the detonation wave was close to the Chapman-Jouguet (CJ) detonation speed when the mass flow reached 493.9 g/s. With the decrease of mass flow, the velocity and pressure of the detonation waves decreased. When it dropped to 142.7 g/s, the detonation waves evolved into a two-wave mode, accompanied by extinction and re-initiation phenomenon. Moreover, the pressure and velocity of the detonation waves fluctuated periodically, and the average propagation velocity was only 76.8% of CJ detonation velocity. Further, the nonlinear time-series analysis was adopted to reveal the stabilities of detonation waves. Results showed that when the mass flow was greater than 300 g/s, the attractor of the pressure time series in the phase space converged to the limit cycle mode. Decreasing the flow led to the disorder of the attractor. It indicated that the stability of the detonation wave decreased, and the system was prone to disorder. This study proved the effectiveness of nonlinear time-series analysis in studying the stabilities of rotating detonation, providing a methodological reference for the judgment of detonation wave stability under complex working conditions.

     

  • loading
  • [1]
    WOLANSKI P. Detonative propulsion[J]. Proceedings of the Combustion Institute,2013,34(1): 125-158. doi: 10.1016/j.proci.2012.10.005
    [2]
    MA J Z,LUAN M Y,XIA Z J,et al. Recent progress, development trends, and consideration of continuous detonation engines[J]. AIAA Journal,2020,58(12): 4976-5035. doi: 10.2514/1.J058157
    [3]
    马虎,张义宁,杨成龙,等. 燃料分布对旋转爆震波传播特性影响[J]. 航空动力学报,2019,34(3): 513-520.

    MA Hu,ZHANG Yining,YANG Chenglong,et al. Effects of fuel distribution on propagation of rotating detonation wave[J]. Journal of Aerospace Power,2019,34(3): 513-520. (in Chinese)
    [4]
    王超,刘卫东,刘世杰,等. 连续旋转爆震波的瞬时传播特性[J]. 航空动力学报,2015,30(11): 2600-2606.

    WANG Chao,LIU Weidong,LIU Shijie,et al. Instantaneous propagation characteristics of continuous rotating detonation wave[J]. Journal of Aerospace Power,2015,30(11): 2600-2606. (in Chinese)
    [5]
    孙健,周进,林志勇,等. 燃烧室轴向长度对旋转爆震发动机性能的影响[J]. 航空动力学报,2016,31(9): 2080-2086.

    SUN Jian,ZHOU Jin,LIN Zhiyong,et al. Influence of chamber length on rotating detonation engine performance[J]. Journal of Aerospace Power,2016,31(9): 2080-2086. (in Chinese)
    [6]
    ANAND V,GEORGE A S,LUZAN C F D,et al. Rotating detonation wave mechanics through ethylene-air mixtures in hollow combustors, and implications to high frequency combustion instabilities[J]. Experimental Thermal and Fluid Science,2018,92: 314-325. doi: 10.1016/j.expthermflusci.2017.12.004
    [7]
    ANAND V,GUTMARK E. Rotating detonation combustors and their similarities to rocket instabilities[J]. Progress in Energy and Combustion Science,2019,73: 182-234.
    [8]
    YAO S,WANG J. Multiple ignitions and the stability of rotating detonation waves[J]. Applied Thermal Engineering,2016,108: 927-936. doi: 10.1016/j.applthermaleng.2016.07.166
    [9]
    YUAN X,ZHOU J,LIU S,et al. Diffraction of cellular detonation wave over a cylindrical convex wall[J]. Acta Astronautica,2019,169: 94-107.
    [10]
    NAKAYAMA H, MORIYA T, KASAHARA J, et al. Front shock behavior of stable detonation waves propagating through rectangular cross-section curved channels[R]. Nashville, US: AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 2012.
    [11]
    SHORT M,CHIQUETE C,QUIRK J J. Propagation of a stable gaseous detonation in a circular arc configuration[J]. Proceedings of the Combustion Institute,2019,37(3): 3593-3600. doi: 10.1016/j.proci.2018.06.212
    [12]
    ZHANG B,LIU H,YAN B. Velocity behavior downstream of perforated plates with large blockage ratio for unstable and stable detonations[J]. Aerospace Science and Technology,2019,86: 236-243.
    [13]
    NAKAYAMA H,MORIYA T,KASAKARA J,et al. Stable detonation wave propagation in rectangular-cross-section curved channels[J]. Combustion and Flame,2012,159(2): 859-869. doi: 10.1016/j.combustflame.2011.07.022
    [14]
    LIN W,ZHOU J,LIU S,et al. An experimental study on CH4/O2 continuously rotating detonation wave in a hollow combustion chamber[J]. Experimental Thermal and Fluid Science,2015,62: 122-130. doi: 10.1016/j.expthermflusci.2014.11.017
    [15]
    LIN W,ZHOU J,LIU S,et al. Experimental study on propagation mode of H2/air continuously rotating detonation wave[J]. International Journal of Hydrogen Energy,2015,40(4): 1980-1993. doi: 10.1016/j.ijhydene.2014.11.119
    [16]
    GOTODA H,SHINODA Y,KOBAYASHI M,et al. Detection and control of combustion instability based on the concept of dynamical system theory[J]. Physical Review: E Statistical, Nonlinear, and Soft Matter Physics,2014,89(2): 022910.1-022910.8.
    [17]
    LIEUWEN T C. Experimental investigation of limit-cycle oscillations in an unstable gas turbine combustor[J]. Journal of Propulsion and Power,2002,18(1): 61-67. doi: 10.2514/2.5898
    [18]
    FICHERA A,LOSENMO C,PAGANO A. Experimental analysis of thermo-acoustic combustion instability[J]. Applied Energy,2001,70(2): 179-191. doi: 10.1016/S0306-2619(01)00020-4
    [19]
    葛逸飞,李森,魏小林. 利用相空间重构方法分析层流扩散火焰燃烧不稳定现象[J]. 工程热物理学报,2020,41(6): 1550-1555.

    GE Yifei,LI Sen,WEI Xiaolin. An analysis of laminar co-flow diffusion flame instability based on phase space reconstruction method[J]. Journal of Engineering Thermophysics,2020,41(6): 1550-1555. (in Chinese)
    [20]
    NG H D. The effect of chemical reaction kinetics on the structure of gaseous detonations[D]. Montreal, Canada: McGill University, 2005.
    [21]
    NG H D,HIGGINS A J,KIYANDA C B,et al. Nonlinear dynamics and chaos analysis of one-dimensional pulsating detonations[J]. Combustion Theory and Modelling,2005,9(1): 159-170. doi: 10.1080/13647830500098357
    [22]
    HE W,XIE Q,JI Z,et al. Characterizing continuously rotating detonation via nonlinear time series analysis[J]. Proceedings of the Combustion Institute,2019,37(3): 3433-3442. doi: 10.1016/j.proci.2018.07.045
    [23]
    张海龙. 液体火箭发动机切向不稳定燃烧的旋转爆震机理研究[D]. 长沙: 国防科学技术大学, 2017.

    ZHANG Hailong. The rotating detonation mechanism of tangential combustion instability in a liquid rocket engine[D]. Changsha: National University of Defense Technology, 2017. (in Chinese)
    [24]
    XIE Q F,WEN H C,LI W H,et al. Analysis of operating diagram for H2-Air rotating detonation combustors under lean fuel condition[J]. Energy,2018,151: 408-419.
    [25]
    刘世杰. 连续旋转爆震波结构、传播模态及自持机理研究 [D]. 国防科学技术大学, 2012.

    LIU Shijie. Investigations on the structure, rotating mode and lasting mechanism of continuous rotating detonation wave[D]. Changsha: National University of Defense Technology, 2012. (in Chinese)
    [26]
    LIN W,TONG Y,LIN Z,et al. Propagation mode analysis on H2-air rotating detonation waves in a hollow combustor[J]. AIAA Journal,2020,58(12): 5052-5062. doi: 10.2514/1.J058254
    [27]
    LEE J H S. The detonation phenomenon[M]. Cambridge, UK: Cambridge University Press, 2008.
    [28]
    TAKENS F. Detecting strange attractors in turbulence[M]. Berlin, Germany: Springer, 1980.
    [29]
    PACKARD N H,CRUTCHFIELD J P,SHAW R S. Geometry from a time series[J]. Physical Review Letters,2008,45(9): 712-716.
    [30]
    BROOMHEAD D S,KING G P. Extracting qualitative dynamics from experimental data[J]. Physica: D Nonlinear Phenomena,1986,20(2/3): 217-236.
    [31]
    CASDAGLI M,EUBANK S,FARMER J D,et al. State space reconstruction in the presence of noise[J]. Physica: D Nonlinear Phenomena,1993,51(1/2/3): 52-98.
    [32]
    KANTZ H, SCHREIBER T. Nonlinear time series analysis[M]. Cambridge, UK: Cambridge University Press, 2004.
    [33]
    ROSENSTEIN M T,COLLINS J J,LUCA C J D. Reconstruction expansion as a geometry-based framework for choosing proper delay times[J]. Physica: D Nonlinear Phenomena,1994,73(1/2): 82-98.
    [34]
    FRASER A M,SWINNEY H L. Independent coordinates for strange attractors from mutual information[J]. Physical Review: A,1986,33(2): 1134-1140. doi: 10.1103/PhysRevA.33.1134
    [35]
    MANNATTIL M,GUPTA H,CHAKRABORTY S. Revisiting evidence of chaos in x-ray light curves: the case of GRS 1915+105[J]. Astrophysical Journal,2016,833(2): 208-222. doi: 10.3847/1538-4357/833/2/208
    [36]
    MANNATTILA M,PANDEY A,VERMA M K,et al. On the applicability of low-dimensional models for convective flow reversals at extreme Prandtl numbers[J]. The European Physical Journal:B,2017,90(12): 259. doi: 10.1140/epjb/e2017-80391-1
    [37]
    ALBANO A M,MUENCH J,SCHWARTZ C,et al. Singular-value decomposition and the Grassberger-Procaccia algorithm[J]. Physical Review: A,1988,38(6): 3017-3026. doi: 10.1103/PhysRevA.38.3017
    [38]
    KUGIUMTZIS D. State space reconstruction parameters in the analysis of chaotic time series-the role of the time window length[J]. Physica: D Nonlinear Phenomena,1996,95(1): 13-28. doi: 10.1016/0167-2789(96)00054-1
    [39]
    KENNEL M B,BROWN R,ABARBANEL H D I. Determining embedding dimension for phase-space reconstruction using a geometrical construction[J]. Physical Review: A,1992,45(6): 3403-3411. doi: 10.1103/PhysRevA.45.3403
    [40]
    CAO L. Practical method for determining the minimum embedding dimension of a scalar time series[J]. Physica: D Nonlinear Phenomena,1997,110(1/2): 43-50.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (604) PDF downloads(83) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return