2021
DOI: 10.1063/5.0035575
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Stability of a reverse Karman vortex street

Abstract: The reverse vortex street differs from the ordinary Karman vortex street in the direction of the rotation of the vortices. Such a street is formed behind the oscillating airfoils in the flow. It is of interest in connection with studies of the aerodynamics of flapping wings. It is known that the vortex wake behind a symmetric airfoil performing symmetric oscillations in a certain range of parameters becomes asymmetric, which leads to the appearance of a nonzero average lift. Reasons of the symmetry violation a… Show more

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Cited by 25 publications
(10 citation statements)
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“…This connection has subsequently been confirmed both for forced oscillations of the cylinder we consider in the present paper (Blackburn & Henderson 1999;Carberry, Sheridan & Rockwell 2001;Morse & Williamson 2009) and for vortex-induced oscillations (Brika & Laneville 1993). For wakes of flapping foils, the topological transition from a von Kármán vortex street to a reverse von Kármán vortex street and its subsequent loss of stability is associated with a change of drag into thrust (Godoy-Diana, Aider & Wesfreid 2008;Dynnikova et al 2021). Furthermore, the wake structure is decisive for transport of passive particles, which has mostly been studied in the context of fixed cylinders.…”
Section: Introductionsupporting
confidence: 73%
See 1 more Smart Citation
“…This connection has subsequently been confirmed both for forced oscillations of the cylinder we consider in the present paper (Blackburn & Henderson 1999;Carberry, Sheridan & Rockwell 2001;Morse & Williamson 2009) and for vortex-induced oscillations (Brika & Laneville 1993). For wakes of flapping foils, the topological transition from a von Kármán vortex street to a reverse von Kármán vortex street and its subsequent loss of stability is associated with a change of drag into thrust (Godoy-Diana, Aider & Wesfreid 2008;Dynnikova et al 2021). Furthermore, the wake structure is decisive for transport of passive particles, which has mostly been studied in the context of fixed cylinders.…”
Section: Introductionsupporting
confidence: 73%
“…For wakes of flapping foils, the topological transition from a von Kármán vortex street to a reverse von Kármán vortex street and its subsequent loss of stability is associated with a change of drag into thrust (Godoy-Diana, Aider & Wesfreid 2008; Dynnikova et al. 2021). Furthermore, the wake structure is decisive for transport of passive particles, which has mostly been studied in the context of fixed cylinders.…”
Section: Introductionmentioning
confidence: 99%
“…With a further increase of the amplitude , the flow loses symmetry about the axis (this type of stability loss of a symmetric flow behind a flapping wing was discussed in detail by Dynnikova et al. (2021)). As a result, an additional stationary component of hydrodynamic force arises, acting parallel to the axis.…”
Section: Analysis Of Resultsmentioning
confidence: 93%
“…But this relationship would also be valid for other values of d. For example, if fixed vortex and source sheets are included between the two rows of vortices, a static configuration is possible for every value of d, however, this would be a mathematically constructed problem that does not have a corresponding real-world flow known by these authors. Nevertheless, part of the asymmetric reverse vortex street, formed on certain conditions by oscillating airfoils [34,35,19], resembles an inclined vortex street with d = (1/2 + ih)a. This problem is not treated here, though.…”
Section: Stability Of Classical Configurations 41 Stability Of the Vo...mentioning
confidence: 99%
“…156 of Lamb [13], where the stability of the symmetrical and staggered von Kármán vortex streets are obtained. Recent examples of this approach are the references [18,19]. These authors employ complex numbers not for the y-axis, but to represent the perturbation, in the form of a complex exponential ansatz (as the Fourier modes of a general periodic solution with a growth rate).…”
Section: Introductionmentioning
confidence: 99%