Numerical study on viscous flow field and initiation evolution of oblique detonation waves
-
摘要:
为探究黏性效应对斜爆轰波波阵面的影响，认识斜爆轰波（ODW）起爆过程的特性，基于高分辨率求解器，开展斜劈诱导斜爆轰波的无黏/有黏数值计算。研究表明：有黏计算条件下惰性斜激波的波角值明显大于无黏计算，同时耦合下游分离泡的影响，使得斜激波后诱导点火长度减小。由于有黏计算中壁面上分离泡的分离/再附激波自身具有不稳定性，分离/再附激波与斜爆轰波波阵面作用更易促使类胞格结构形成。斜爆轰波的起爆可认为是由斜激波诱导的燃烧波与斜激波碰撞引发的，形成的斜爆轰波继而在三波点牵引下向外膨胀；燃烧波强度对最终准稳态流场中强过驱斜爆轰波区域尺度有明显影响。
Abstract:To investigate the influences of viscous effects on the oblique detonation wave (ODW) front, and discern the essential characteristic for the evolution of ODW initiation, an inviscid/viscous simulation was conducted with a high-resolution numerical solver to study the wedge-induced ODW. It was manifested that the wave angle of inert oblique shock wave (OSW) for viscous computation was larger than that for inviscid computation, which contributed to a short induction ignition length behind OSW with consideration of the influence of separation bubble downstream. For viscous simulation, owing to the unsteady characteristics of the separation/attachment shock wave aligned to the separation bubble on the wall, the cellular-like structures of ODW front appeared more quickly. The initiation of ODW was triggered by the collision between shock-induced combustion and OSW, and ODW expanded outward subjecting to the triple-point; especially, the strength of the combustion wave had a significant influence on the scale of strong overdriven ODW region in quasi-steady flow field.
-
Key words:
- oblique detonation wave /
- viscous effect /
- wave front /
- shock-induced combustion /
- initiation
-
图 1 数值计算的物理模型和流场结构示意图
Figure 1. Schematic diagram of physical model for numerical computation and flow configuration
图 2 3种网格大小下斜激波/斜爆轰波后诱导点火长度沿程分布（θwed=29°）
Figure 2. Induction ignition length profiles along the OSW/ODW front for three grid sizes （θwed=29°）
图 3 不同数值方法下斜爆轰流场温度云图和局部数值纹影
Figure 3. Temperature contour and zoom-in numerical schlieren of ODW flow-field for various numerical methods
图 4 不同数值方法得到的斜激波/斜爆轰波的波阵面后参数
Figure 4. Parameters behind oblique shock/detonation wave front with various numerical method
图 5 当Ea/R∞T∞=30时不同时刻的斜爆轰波三波点局部数值纹影和过三波点的流线
Figure 5. Zoomed-in numerical schlieren near ODW triple-point and streamline with different time snapshots for Ea/R∞T∞=30
图 6 不同活化能条件下强过驱斜爆轰波后亚声速区域
Figure 6. Subsonic region behind strong overdriven ODW for various activation energy
-
[1] LEE J H S. The detonation phenomenon[M]. Cambridge: Cambridge University Press,2008. [2] 谭汶昊,郑龙席,卢杰,等. 高温来流下U型脉冲爆震燃烧室燃烧特性试验[J]. 航空动力学报,2022,37(3): 502-510. TAN Wenhao,ZHENG Longxi,LU Jie,et al. Experiment on combustion characteristics of U-bend pulse detonation combustor under high temperature inlet stream[J]. Journal of Aerospace Power,2022,37(3): 502-510. (in ChineseTAN Wenhao, ZHENG Longxi, LU Jie, et al. Experiment on combustion characteristics of U-bend pulse detonation combustor under high temperature inlet stream[J]. Journal of Aerospace Power, 2022, 37(3): 502-510. (in Chinese) [3] 李宝星,许桂阳,舒慧明,等. 燃烧室轴向和周向长度对气液两相旋转爆轰特性的影响[J]. 航空动力学报,2020,35(8): 1601-1611. LI Baoxing,XU Guiyang,SHU Huiming,et al. Influence of axial and circumferential lengths of combustion chamber on gas-liquid two-phase rotating detonation characteristics[J]. Journal of Aerospace Power,2020,35(8): 1601-1611. (in ChineseLI Baoxing, XU Guiyang, SHU Huiming, et al. Influence of axial and circumferential lengths of combustion chamber on gas-liquid two-phase rotating detonation characteristics[J]. Journal of Aerospace Power, 2020, 35(8): 1601-1611. (in Chinese) [4] URZAY J. Supersonic combustion in air-breathing propulsion systems for hypersonic flight[J]. Annual Review of Fluid Mechanics,2018,50: 593-627. doi: 10.1146/annurev-fluid-122316-045217 [5] 苗世坤,周进,刘彧,等. 超声速气流中的斜爆震研究进展综述[J]. 实验流体力学,2019,33(1): 41-53. MIAO Shikun,ZHOU Jin,LIU Yu,et al. Review of studies on oblique detonation waves in supersonic flows[J]. Journal of Experiments in Fluid Mechanics,2019,33(1): 41-53. (in Chinese doi: 10.11729/syltlx20180078MIAO Shikun, ZHOU Jin, LIU Yu, et al. Review of studies on oblique detonation waves in supersonic flows[J]. Journal of Experiments in Fluid Mechanics, 2019, 33(1): 41-53. (in Chinese) doi: 10.11729/syltlx20180078 [6] 杨鹏飞,张子健,杨瑞鑫,等. 斜爆轰发动机的推力性能理论分析[J]. 力学学报,2021,53(10): 2853-2864. YANG Pengfei,ZHANG Zijian,YANG Ruixin,et al. Theorical study on propulsive performance of oblique detonation engine[J]. Chinese Journal of Theoretical and Applied Mechanics,2021,53(10): 2853-2864. (in Chinese doi: 10.6052/0459-1879-21-206YANG Pengfei, ZHANG Zijian, YANG Ruixin, et al. Theorical study on propulsive performance of oblique detonation engine[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(10): 2853-2864. (in Chinese) doi: 10.6052/0459-1879-21-206 [7] JIANG Zonglin,ZHANG Zijian,LIU Yunfeng,et al. Criteria for hypersonic airbreathing propulsion and its experimental verification[J]. Chinese Journal of Aeronautics,2021,34(3): 94-104. doi: 10.1016/j.cja.2020.11.001 [8] YANG Pengfei,TENG Honghui,JIANG Zonglin,et al. Effects of inflow Mach number on oblique detonation initiation with a two-step induction-reaction kinetic model[J]. Combustion and Flame,2018,193: 246-256. doi: 10.1016/j.combustflame.2018.03.026 [9] TENG Honghui,TIAN Cheng,ZHANG Yining,et al. Morphology of oblique detonation waves in a stoichiometric hydrogen-air mixture[J]. Journal of Fluid Mechanics,2021,913: 1-23. [10] TENG Honghui,NG H D,YANG Pengfei,et al. Near-field relaxation subsequent to the onset of oblique detonations with a two-step kinetic model[J]. Physics of Fluids,2021,33(9): 096106. doi: 10.1063/5.0059439 [11] 滕宏辉,杨鹏飞,张义宁,等. 斜爆震发动机的流动与燃烧机理[J]. 中国科学 (物理学 力学 天文学),2020,50(9): 125-147. TENG Honghui,YANG Pengfei,ZHANG Yining,et al. Flow and combustion mechanism of oblique detonation engines[J]. Scientia Sinica (Physica,Mechanica & Astronomica),2020,50(9): 125-147. (in ChineseTENG Honghui, YANG Pengfei, ZHANG Yining, et al. Flow and combustion mechanism of oblique detonation engines[J]. Scientia Sinica (Physica, Mechanica & Astronomica), 2020, 50(9): 125-147. (in Chinese) [12] 滕宏辉,姜宗林. 斜爆轰的多波结构及其稳定性研究进展[J]. 力学进展,2020,50(1): 50-92. TENG Honghui,JIANG Zonglin. Progress in multi-wave structure and stability of oblique detonations[J]. Advances in Mechanics,2020,50(1): 50-92. (in ChineseTENG Honghui, JIANG Zonglin. Progress in multi-wave structure and stability of oblique detonations[J]. Advances in Mechanics, 2020, 50(1): 50-92. (in Chinese) [13] ROSATO D A,THORNTON M,SOSA J,et al. Stabilized detonation for hypersonic propulsion[J]. Proceedings of the National Academy of Sciences of the United States of America,2021,118(20): 1-7. [14] ZHANG Zijian,WEN C,YUAN Chaokai,et al. An experimental study of formation of stabilized oblique detonation waves in a combustor[J]. Combustion and Flame,2022,237: 111868. doi: 10.1016/j.combustflame.2021.111868 [15] 张子健,韩信,马凯夫,等. 斜爆轰发动机燃烧机理试验研究[J]. 推进技术,2021,42(4): 786-794. ZHANG Zijian,HAN Xin,MA Kaifu,et al. Experimental research on combustion mechanism of oblique detonation engines[J]. Journal of Propulsion Technology,2021,42(4): 786-794. (in ChineseZHANG Zijian, HAN Xin, MA Kaifu, et al. Experimental research on combustion mechanism of oblique detonation engines[J]. Journal of Propulsion Technology, 2021, 42(4): 786-794. (in Chinese) [16] LI C,KAILASANATH K,ORAN E. Effects of boundary layers on oblique-detonation structures: AIAA 1993-450 [R]. Reston,Virigina: AIAA,1993. [17] CHOI J Y,JEUNG I S. Numerical simulation of super-detonative ram accelerator; its shock-induced combustion and oblique detonation[M]//Hypervelocity Launchers. Cham: Springer International Publishing,2016: 217-267. [18] YU Moyao,MIAO Shikun. Initiation characteristics of wedge-induced oblique detonation waves in turbulence flows[J]. Acta Astronautica,2018,147: 195-204. doi: 10.1016/j.actaastro.2018.04.022 [19] MIAO Shikun,XU Dekun,SONG Tianli,et al. Shock wave-Boundary Layer Interactions in Wedge-induced Oblique Detonations[J]. Combustion Science and Technology,2020,192(12): 2345-2370. doi: 10.1080/00102202.2019.1646256 [20] ZHANG Zijian,MA Kaifu,ZHANG Wenshuo,et al. Numerical investigation of a Mach 9 oblique detonation engine with fuel pre-injection[J]. Aerospace Science and Technology,2020,105: 106054. doi: 10.1016/j.ast.2020.106054 [21] ZHANG Zijian,WEN C,ZHANG Wenshuo,et al. Formation of stabilized oblique detonation waves in a combustor[J]. Combustion and Flame,2021,223: 423-436. doi: 10.1016/j.combustflame.2020.09.034 [22] LEUNG C,RADULESCU M I,SHARPE G J. Characteristics analysis of the one-dimensional pulsating dynamics of chain-branching detonations[J]. Physics of Fluids,2010,22(12): 126101. doi: 10.1063/1.3520188 [23] ALLMARAS S R,JOHNSON F T,SPALART P R. Modifications and clarifications for the implementation of the spalart-allmaras turbulence model[R]. Hawaii: 7th International Conference on Computational Fluid Dynamics,2012. [24] SPALART P R,DECK S,SHUR M L,et al. A new version of detached-eddy simulation,resistant to ambiguous grid densities[J]. Theoretical and Computational Fluid Dynamics,2006,20(3): 181-195. doi: 10.1007/s00162-006-0015-0 [25] 杨理,岳连捷,张新宇. 斜爆轰波的波角和法向速度-曲率关系初步探究[J]. 航空学报,2020,41(11): 123701. YANG Li,YUE Lianjie,ZHANG Xinyu. Preliminary study on the wave angle and normal velocity-curvature relation of oblique detonation wave[J]. Acta Aeronautica et Astronautica Sinica,2020,41(11): 123701. (in ChineseYANG Li, YUE Lianjie, ZHANG Xinyu. Preliminary study on the wave angle and normal velocity-curvature relation of oblique detonation wave[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(11): 123701. (in Chinese) [26] JIANG Guangshan,SHU Chiwang. Efficient implementation of weighted ENO schemes[J]. Journal of Computational Physics,1996,126(1): 202-228. doi: 10.1006/jcph.1996.0130 [27] ACKER F,DE R BORGES R B,COSTA B. An improved WENO-Z scheme[J]. Journal of Computational Physics,2016,313: 726-753. doi: 10.1016/j.jcp.2016.01.038 [28] ROE P L. Approximate Riemann solvers,parameter vectors,and difference schemes[J]. Journal of Computational Physics,1997,135(2): 250-258. doi: 10.1006/jcph.1997.5705 [29] EINFELDT B. On godunov-type methods for gas dynamics[J]. SIAM Journal on Numerical Analysis,1988,25(2): 294-318. doi: 10.1137/0725021 [30] HINDMARSH A C,BROWN P N,GRANT K E,et al. SUNDIALS[J]. ACM Transactions on Mathematical Software,2005,31(3): 363-396. doi: 10.1145/1089014.1089020 [31] KENNEDY C A,CARPENTER M H. Additive Runge-Kutta schemes for convection-diffusion-reaction equations[J]. Applied Numerical Mathematics,2003,44(1/2): 139-181. [32] YANG Li,YUE Lianjie,ZHANG Qifan,et al. High-order simulation solving Navier-Stokes equations with Spalart-Allmaras turbulence model[J]. Journal of Physics: Conference Series,2020,1600(1): 012024. doi: 10.1088/1742-6596/1600/1/012024 [33] YANG Li,YUE Lianjie,ZHANG Qifan,et al. Numerical study on the shock/combustion interaction of oblique detonation waves[J]. Aerospace Science and Technology,2020,104: 105938. doi: 10.1016/j.ast.2020.105938 [34] VERREAULT J,HIGGINS A J,STOWE R A. Formation of transverse waves in oblique detonations[J]. Proceedings of the Combustion Institute,2013,34(2): 1913-1920. doi: 10.1016/j.proci.2012.07.040 -
下载:
点击查看大图
计量
- 文章访问数: 957
- HTML浏览量: 328
- PDF量: 73
- 被引次数: 0