SUBHARMONIC INTERACTION OF SPATIALLY-DEVELOPING COMPRESSIBLE MIXING LAYERS
-
摘要: 基于线性稳定性理论，建立了可压缩空间发展混合层亚谐扰动作用的唯象分析图，用以分析并判定亚谐扰动相差对基频涡卷非线性演化类型的影响，据此导出了基频涡卷各类非线性演化的定量的相差唯象模型. 研究发现，当亚谐扰动波长较小时，对于单一亚谐扰动，基频涡卷的演化类型共4 类，分别是撕裂、中心对称群并、第1 类非对称群并和第2 类非对称群并现象. 撕裂与中心对称群并为特殊现象，对应特定的相差点；非对称群并为常见现象，对应除这些相差点之外的相差区间. 当亚谐扰动波长较大时，由于扰动幅值随空间指数增长，只存在非对称群并现象.Abstract: A phenomenological model of collective interaction of primary vortex of mixing layers is built on the linear stability theory. The model can be used to determine the influence of the phase shift of the subharmonic disturbance wave on the nonlinear evolving process of the primary vortex. The results indicate that there are three classes of subharmonic interaction to the short subharmonic wavelength, which are tearing, symmetric collective interaction and asymmetrical collective interaction, respectively. And to the long subharmonic wavelength, there always occurs asymmetrical collective interaction.
-
Key words:
- mixing layers /
- subharmonic interaction /
- collective interaction /
- numerical simulation
-
Crow SC, Champagne FH. Orderly structure in jet turbulence. J Fluid Mech, 1971, 48:547-591 Brown GL, Roshko A. On density effects and large structure in turbulent mixing layers. J Fluid Mech, 1974, 64:775-816 Winant CD, Browand FK. Vortex pairing: The mechanism of turbulent mixing-layer growth at moderate Reynolds number. J Fluid Mech, 1974, 63:237-255 Ho CM, Huang LS. Subharmonics and vortex merging in mixing layers. J Fluid Mech, 1982, 119:443-473 Ho CM, Huerre P. Perturbed free shear layers. J Fluid Mech, 1984, 132:365-422 Ho CM, Nosseir NS. Dynamics of an impinging jet. Part 1. The feedback phenomenon. J Fluid Mech, 1981, 105:119-142 Samimy M, Kim J-H, Kastner J, et al. Active control of a Mach 0.9 jet for noise mitigation using plasma actuators. AIAA J, 2007, 45(4):890-901 Gloerfelt X. Large-eddy simulation of high Reynolds number flow over a cavity including radiated noise. AIAA Paper 2004-2863, 2004 王强,傅德薰,马延文. 超声速黏性剪切流空间稳定性对称紧致差分数值计算. 空气动力学学报, 2000, 18(4): 434-438 (Wang Qiang, Fu Dexun, Ma Yanwen. Numerical analysis of viscous spatial stability in supersonic shear layers using symmetric compact difference method. Acta Aerodynamic Sinica, 2000, 18(4):434-438 (in Chinese)) 王强,傅德薰,马延文.可压涡卷空间演化的迎风紧致差分数值模拟. 计算物理, 2001, 18(4):303-307 (Wang Qiang, Fu Dexun, Ma Yanwen. Numerical simulations of spatially-developing compressible vortex rollup using a upwind compact difference method. Chinese Journal of Computation Physics, 2001, 18(4): 303-307 (in Chinese)) -
点击查看大图
计量
- 文章访问数: 707
- HTML全文浏览量: 33
- PDF下载量: 717
- 被引次数: 0
下载:
