亚声速等膨胀方管射流轴置换现象的数值研究

推进技术 ›› 2016, Vol. 37 ›› Issue (2): 218-226.

亚声速等膨胀方管射流轴置换现象的数值研究

张焕好,陈志华,姜孝海

南京理工大学瞬态物理重点实验室，江苏南京 210094,南京理工大学瞬态物理重点实验室，江苏南京 210094,南京理工大学瞬态物理重点实验室，江苏南京 210094

发布日期:2021-08-15
作者简介:张焕好，女，博士，讲师，研究领域为超声速流动与控制。
基金资助:
国家自然科学基金面上项目(11272156)；国家自然科学青年基金(11502117)；中国博士后基金(2015M571757)。

Numerical Investigation on Axis-Switching of an

National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094，China,National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094，China and National Key Laboratory of Transient Physics，Nanjing University of Science & Technology，Nanjing 210094，China

Published:2021-08-15

摘要/Abstract

摘要： 基于可压缩Navier-Stokes方程，采用大涡模拟方法与高精度WENO/TCD混合格式，对Ma=0.6的亚声速等膨胀方管射流的初始流场进行了数值研究。数值结果清晰地描述了初始主涡环的形成与三维演变过程。方管射流具有平面管与圆管射流的一般流场特征，但方管周向曲率的不一致导致轴向流动速度不均匀，使方形主涡环出现复杂的Biot-Savart自诱导变形，并在方形涡环截面上诱导形成4对反向流向涡对。在主涡环的Biot-Savart自诱导变形与流向涡对的诱导速度共同作用下致使主涡环截面形状相对于初始时旋转45°，完成轴置换。另外，在亚声速等膨胀射流中，流向涡对的诱导速度在轴置换中占主要作用。

关键词: 亚声速射流；方管射流；涡环；轴置换；大涡模拟

Abstract: Based on the compressible Navier-Stokes equation，the initial flow structures of an iso-expanded subsonic square jet at Ma=0.6 was investigated numerically with the use of large eddy simulation (LES) and combination of the high-order hybrid WENO/TCD schemes. Numerical results illustrate clearly the formation and three-dimensional evolution of the primary vortex loop (PVL). It has the general flow characteristics of plane and circular jets，however，the azimuthal curvature discrepancy of the square nozzle leads to the non-uniform translational velocity，which results in the self-induced Biot-Savart deformation of PVL and generates 4 sets of counter-rotating streamwise vortices on the square cross-section of PVL. Therefore，the self-induced Biot-Savart deformation of PVL and the induced velocities of streamwise vortex pairs combine together to make the axis switching of the square vortex loop. Furthermore，the induced velocities of streamwise vortices dominant the axis-switching in iso-expanded subsonic jets.

Key words: Subsonic jet；Square jet；Vortex loop；Axis-switching；Large-eddy simulation

张焕好,陈志华,姜孝海. 亚声速等膨胀方管射流轴置换现象的数值研究[J]. 推进技术, 2016, 37(2): 218-226.

ZHANG Huan-hao,CHEN Zhi-hua,JIANG Xiao-hai. Numerical Investigation on Axis-Switching of an[J]. Journal of Propulsion Technology, 2016, 37(2): 218-226.

参考文献

[1] Ho C M, Gurmark E. Vortex Induction and Mass Entrainment in a Small Aspect Ratio Elliptic Jet[J]. Journal of Fluid Mechanics, 1987, 179: 383-405.
[2] Husain H S, Hussain A K M F. Controlled Excitation of Elliptic Jet[J]. Physics of Fluids, 1983, 26: 2763-2766.
[3] Grinstein F F, Gutmark E, Parr T. Near Field Dynamics of Subsonic Free Square Jets[J]. Physics of Fluids, 1995, (7): 1483-1497.
[4] Glaser A J, Caldwell N, Gutmark E, et al. Experimental Study of Ejectors Driven by a Pulse Detonation Engine[R]. AIAA 2007-0449.
[5] Gutmark E, Schadow K C, Wilson K J. Noncirculat Jet Dynamics in Supersonic Combustion[J]. Journal of Propulsion, 1989, 5(5): 529-533.
[6] Quinn W R. Experimental Study of the Near Field and Transition Region of a Free Jet Issuing from a Sharp-Edged Elliptic Orifice Plate[J]. European Journal of Mechanics B/Fluids, 2007, 26: 583-614.
[7] Wang X K, Yu S C M, Chua L P. Effect of Delta Tabs on Axis Switching of a Coaxial Square Jet[J]. Journal of Propulsion and Power, 2004, 20(3): 533-541.
[8] Grinstein F F. Vortex Dynamics and Entrainment in Rectangular[J]. Journal of Fluid Mechanics, 2001, 437: 69-101.
[9] Husain H S, Hussain A K M F. Elliptic Jets, Part 1. Characteristics of Unexcited and Excited Jets[J]. Journal of Fluid Mechanics, 1989, 208: 257-320.
[10] Zare-Behtash H, Kontis K, Gongora-Orozco N. Experimental Investigation of Compressible Vortex Loops[J]. Physics of Fluids, 2008, 20: 126105.
[11] Viets H, Sforza P M. Dynamics of Bilaterally Symmetric Vortex Rings[J]. Physics of Fluids, 1972, 15: 230-239.
[12] Gutmark E J, Grinstein F F. Flow Control with Noncircular Jets[J]. Annual Review of Fluid Mechanics, 1999, 31: 239-272.
[13] Quinn W R. Streamwise Evolution of a Square Jet Cross Section[J]. AIAA Journal, 1992, 30: 2852-2857.
[14] Davis D O, Gessner F B. Experimental Investigation of Turbulent Flow Through a Circular-to-Rectangular Transition Duct[J]. AIAA Journal, 1992, 30: 367-375.
[15] Zaman K B M Q. Axis Switching and Spreading of an Asymmetric Jet: The Role of Coherent Structure Dynamics[J]. Journal of Fluid Mechanics, 1996, 316: 1-27.
[16] 金晗辉, 许跃敏, 樊建人, 等. 矩形喷嘴射流近喷口流场的大涡模拟[J]. 化工学报, 2004, 55(8): 1243-1248.
[17] 杨华, 李国能, 周昊, 等. 横向椭圆射流的大涡模拟[J]. 浙江大学学报(工学版), 2007, 41(7): 1181-1185.
[18] 岳连捷, 杨茂林, 樊未军, 等. 火焰稳定器射流喷口形状对燃烧性能的影响[J]. 推进技术, 2003, 24(2): 169-171. (YUE Lian-jie, YANG Mao-lin, FAN Wei-jun, et al. Influence of Jet Slot Structure on Combustion Performance of Novel Jet Flameholder[J]. Journal of Propulsion Technology, 2003, 24(2): 169-171.)
[19] 蒋平, 郭印诚, 张会强, 等. 矩形射流流动的大涡模拟[J]. 清华大学学报(自然科学版), 2004, 44(5): 689-692.
[20] 张勃, 吉洪湖, 曹广州, 等. 宽高比对矩形喷管射流湍流强度影响试验[J]. 航空动力学报, 2010, 25(10): 2244-2248.
[21] Xu M Y, Zhang J P, Mi J C, et al. Mean and Fluctuating Velocity Fields of a Diamond Turbulent Jet[J]. Chinese Physics B, 2013, 22(3).
[22] Zhang H H, Chen Z H, Jiang X H, et al. Investigations on the Exterior Flow Fields and the Efficiency of the Muzzle Brake[J]. Journal of Mechanical Science and Technology, 2013, 27: 95-101.
[23] 张焕好, 陈志华, 姜孝海, 等. 高速弹丸穿越不同制退器时的膛口流场波系结构研究[J]. 兵工学报, 2012, 33(5): 623-629.
[24] 张焕好, 陈志华, 孙晓晖, 等. 非定常超声速引射流场的数值模拟[J]. 工程力学, 2011, 28(9): 228-233.
[25] 张焕好, 陈志华, 孙晓晖. 双管爆轰单引射增推机理的数值研究[J]. 航空动力学报, 2011, 26(5): 1025-1030.
[26] Zhang H H, Chen Z H, Sun X H, et al. Numerical Investigations on the Thrust Augmentation Mechanisms of Ejectors Driven by Pulse Detonation Engines[J]. Combustion Science and Technology, 2011, 183: 1069-1082.
[27] Zare-Behtash H, Kontis K, Gongora-Orozco N, et al. Compressible Vortex Loops: Effect of Nozzle Geometry[J]. International Journal of Heat and Fluid Flow, 2009, 30: 561-576.
[28] Zare-Behtash H, Gongora-Orozco N, Kontis K. Effect of Primary Jet Geometry on Ejector Performance: A Cold-Flow Investigation[J]. Internation Journal of Heat and Fluid Flow, 2011, 32: 596-607.
[29] Zhang H H, Chen Z H, Li B M, et al. The Secondary Vortex Rings of a Supersonic Underexpanded Circular Jet with Low Pressure Ratio[J]. European Journal of Mechanics B/Fluids, 2014, 46: 172-180.
[30] 薛大文, 陈志华, 张焕好, 等. 超声速来流与侧向射流作用下的三维流场结构[J]. 推进技术, 2014, 35(7): 882-890. (XUE Da-wen, CHEN Zhi-hua, ZHANG Huan-hao, et al. 3D Flow Structures Induced by Interaction of Supersonic Flow with a Lateral Jet[J]. Journal of Propulsion Technology, 2014, 35(7): 882-890.)
[31] Lombardini M, Hill D J, Pullin D I, et al. Atwood Ratio Dependence of Richtmyer–Meshkov Flows under Reshock Conditions Using Large-Eddy Simulations[J]. Journal of Fluid Mechanics, 2011, 670: 439-480.
[32] Lundgren T S. Strained Spiral Vortex Model for Turbulent Fine Structure[J]. Physics of Fluids, 1982, 25.
[33] Hill D J, Pullin D I. Hybrid Tuned Center-Difference-WENO Method for Large Eddy Simulations in the Presence of Strong Shocks[J]. Journal of Computational Physics, 2004, 194: 435-450.
[34] Pantano C, Deiterding R, Hill D J. A Low Numerical Dissipation Patch Based Adaptive Mesh Refinement Method for Large-Eddy Simulation of Compressible Flows[J]. Journal of Computational Physics, 2007, 221: 63-87.
[35] Zare-Behtash H, Kontis K, Takayama K. Compressible Vortex Loops Studies in a Shock Tube with Various Exit Geometries[R]. AIAA 2008-362.
[36] An R, Kontis K, Edwards J A. Compressible Vortex-Ring Interaction Studies with a Number of Generic Body Configurations[R]. AIAA 2005-1044.
[37] 张焕好, 陈志华, 黄振贵, 等. 亚声速等膨胀平面射流的初始流场结构[J]. 推进技术, 2012, 33(4): 591-596. (ZHANG Huan-hao, CHEN Zhi-hua, HUANG Zhen-gui, et al. Initial Flow Structures of an Iso-Expanded Subsonic Plane Jet[J]. Journal of Propulsion Technology, 2012, 33(4): 591-596.)
[38] Michalke A. Instability of a Compressible Circular Free Jet with Consideration of the Influence of the Jet Boundary Layer Thickness[R]. NASA TM 75190, 1971.
[39] Jiang Z, Onodera O, Takayama K. Evolution of Shock Waves and the Primary Vortex Loop Discharged from a Square Cross-Sectional Tube[J]. Shock Waves, 1999, 9: 1-10.(编辑:张荣莉)　　　　　　　　　　　　　*　收稿日期:2014-10-14；修订日期:2014-01-04。基金项目:国家自然科学基金面上项目(11272156)；国家自然科学青年基金(11502117)；中国博士后基金(2015M571757)。作者简介:张焕好,女,博士,讲师,研究领域为超声速流动与控制。E-mail: zhanghuanhao9@163.com