Studies of two-dimensional vortex streets

Author(s):  
Kamran Mohseni
2011 ◽  
Vol 60 (2) ◽  
pp. 024702
Author(s):  
Zhu Min-Hui ◽  
Wang Xiao-Qing ◽  
Chen Ke ◽  
You Yun-Xiang ◽  
Hu Tian-Qun

1999 ◽  
Vol 25 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Osamu Inoue ◽  
Teruyuki Yamazaki

Author(s):  
М. V. Кalashnik ◽  
О. G. Chkhetiani

Spatially periodic vortex systems that form due to unstable shear flows are called vortex streets. A number of exact and asymptotic solutions of two-dimensional hydrodynamic equations describing nonstationary vortex streets have been constructed. It is shown that the superposition of the flow with a constant horizontal shear and its perturbations in the form of a nonmodal wave provides an exact solution that describes a nonstationary vortex street with rotating elliptic current lines. The width of the zone occupied by such a vortex street has been determined. The equation of separatrix separating vortex cells with closed current lines from an external meandering flow has been obtained. The influence of the quasi-two-dimensional compressibility and beta effect on the dynamics of vortex streets has been studied based on the potential vorticity transport equation. The solutions describing the formation of vortex streets during the development of an unstable zonal periodic flow and a free shear layer have been constructed using a longwave approximation.


2019 ◽  
Vol 862 ◽  
pp. 216-226
Author(s):  
Ildoo Kim

We discuss two distinct spatial structures of vortex streets. The ‘conventional mushroom’ structure is commonly discussed in many experimental studies, and the exotic ‘separated rows’ structure is characterized by a thin layer of irrotational fluid between two rows of vortices. In a two-dimensional soap film channel, we generate the exotic vortex arrangement by using triangular objects. This setting allows us to vary the thickness of boundary layers and their separation distance independently. We find that the separated rows structure appears only when the boundary layer is thinner than 40 % of the separation distance. We also discuss two physical mechanisms of the breakdown of vortex structures. The conventional mushroom structure decays due to the mixing, and the separated rows structure decays because its arrangement is hydrodynamically unstable.


1984 ◽  
Vol 147 (-1) ◽  
pp. 187 ◽  
Author(s):  
D. I. Meiron ◽  
P. G. Saffman ◽  
J. C. Saffman

1962 ◽  
Vol 13 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Frederick H. Abernathy ◽  
Richard E. Kronauer

The formation of vortex streets in the wake of two-dimensional bluff bodies can be explained by considering the non-linear interaction of two infinite vortex sheets, initially a fixed distance, h, apart, in an inviscid incompressible fluid. The interaction of such sheets (represented in the calculation by rows of point-vortices) is examined in detail for various ratios of h to the wavelength, a, of the initial disturbance. The number and strength of the concentrated regions of vorticity formed in the interaction depend very strongly on h/a. The non-linear interaction of the two vortex sheets explains both the cancellation of vorticity and vortex-street broadening observed in the wakes of bluff bodies.


2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Ghada Alobaidi ◽  
Roland Mallier

We consider flows on a spherical surface and use a transformation to transport some well-known periodic two-dimensional vortex streets to that spherical surface to arrive at some new expressions for vortex streets on a sphere.


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