Vortex formation and vortex breakup in a laminar separation bubble

被引:124
作者
Marxen, Olaf [1 ,2 ]
Lang, Matthias [1 ]
Rist, Ulrich [1 ]
机构
[1] Univ Stuttgart, Inst Aerodynam & Gasdynam, D-70550 Stuttgart, Germany
[2] von Karman Inst Fluid Dynam, Aeronaut & Aerosp Dept, B-1640 Rhode St Genese, Belgium
关键词
boundary layer separation; nonlinear instability; vortex shedding; DIRECT NUMERICAL-SIMULATION; DISTURBANCES; TRANSITION; FLOW; AIRFOIL; INSTABILITY; STABILITY; EVOLUTION; DYNAMICS;
D O I
10.1017/jfm.2013.222
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The convective primary amplification of a forced two-dimensional perturbation initiates the formation of essentially two-dimensional large-scale vortices in a laminar separation bubble. These vortices are then shed from the bubble with the forcing frequency. Immediately downstream of their formation, the vortices get distorted in the spanwise direction and quickly disintegrate into small-scale turbulence. The laminar-turbulent transition in a forced laminar separation bubble is dominated by this vortex formation and breakup process. Using numerical and experimental data, we give an in-depth characterization of this process in physical space as well as in Fourier space, exploiting the largely periodic character of the flow in time as well as in the spanwise direction. We present evidence that a combination of more than one secondary instability mechanism is active during this process. The first instability mechanism is the elliptic instability of vortex cores, leading to a spanwise deformation of the cores with a spanwise wavelength of the order of the size of the vortex. Another mechanism, potentially an instability of flow in between two consecutive vortices, is responsible for three-dimensionality in the braid region. The corresponding disturbances possess a much smaller spanwise wavelength as compared to those amplified through elliptic instability. The secondary instability mechanisms occur for both fundamental and subharmonic frequency, respectively, even in the absence of continuous forcing, indicative of temporal amplification in the region of vortex formation.
引用
收藏
页码:58 / 90
页数:33
相关论文
共 41 条
[1]   Turbulence mechanism in Klebanoff transition: A quantitative comparison of experiment and direct numerical simulation [J].
Bake, S ;
Meyer, DGW ;
Rist, U .
JOURNAL OF FLUID MECHANICS, 2002, 459 (459) :217-243
[2]   Particle image velocimetry of a low-Reynolds-number separation bubble [J].
Boiko, A. ;
Dovgal, A. ;
Hein, S. ;
Henning, A. .
EXPERIMENTS IN FLUIDS, 2011, 50 (01) :13-21
[3]  
Boiko AV., 2002, The origin of turbulence in near-wall flows, V1st edn
[4]   The nonlinear development of three-dimensional disturbances at hyperbolic stagnation points: A model of the braid region in mixing layers [J].
Caulfield, CP ;
Kerswell, RR .
PHYSICS OF FLUIDS, 2000, 12 (05) :1032-1043
[5]   The effects of non-normality and nonlinearity of the Navier-Stokes operator on the dynamics of a large laminar separation bubble [J].
Cherubini, S. ;
Robinet, J. -Ch. ;
De Palma, P. .
PHYSICS OF FLUIDS, 2010, 22 (01) :1-15
[6]  
CRAIK ADD, 1986, PROC R SOC LON SER-A, V406, P13, DOI 10.1098/rspa.1986.0061
[7]   MEASUREMENTS IN A SEPARATION BUBBLE ON AN AIRFOIL USING LASER VELOCIMETRY [J].
FITZGERALD, EJ ;
MUELLER, TJ .
AIAA JOURNAL, 1990, 28 (04) :584-592
[8]  
Gaster M., 1967, AERONAUTICAL RES COU
[9]   A numerical and experimental study of a transitional separation bubble [J].
Häggmark, CP ;
Hildings, C ;
Henningson, DS .
AEROSPACE SCIENCE AND TECHNOLOGY, 2001, 5 (05) :317-328
[10]   Dynamics of laminar separation bubbles at low-Reynolds-number aerofoils [J].
Hain, R. ;
Kaehler, C. J. ;
Radespiel, R. .
JOURNAL OF FLUID MECHANICS, 2009, 630 :129-153