scholarly journals Leapfrogging criteria for a line vortex pair external to a circular cylinder

2020 ◽  
Vol 32 (9) ◽  
pp. 096602
Author(s):  
M. R. Turner
Keyword(s):  
Circular Cylinder ◽  
Vortex Pair ◽  
Line Vortex

scholarly journals Interaction of streamwise vortex pair induced by counter type plasma jet with flow past a circular cylinder

2014 ◽  
Vol 9 (3) ◽  
pp. JFST0050-JFST0050 ◽  
Author(s):  
Shunsuke FUNAOKA ◽  
Shunsuke YAMADA ◽  
Seiji ICHIKAWA ◽  
Hitoshi ISHIKAWA
Keyword(s):  
Circular Cylinder ◽  
Vortex Pair ◽  
Streamwise Vortex ◽  
Plasma Jet ◽  
Flow Past

scholarly journals FLOWFIELD PRODUCED BY A VORTEX PAIR APPROACHING A CIRCULAR CYLINDER

1989 ◽  
Vol 9 (Supplement) ◽  
pp. 23-26
Author(s):  
Hideo YAMADA ◽  
Atsushi ITOH ◽  
Haruo YAMABE ◽  
Toshiyuki GOTOH
Keyword(s):  
Circular Cylinder ◽  
Vortex Pair

Two-dimensional vortex motion in the cross-flow of a wing-body configuration

1995 ◽  
Vol 305 ◽  
pp. 93-109 ◽  
Author(s):  
T. W. G. De Laat ◽  
R. Coene
Keyword(s):  
Circular Cylinder ◽  
Initial Conditions ◽  
Vortex Motion ◽  
Cross Flow ◽  
Vortex Pair ◽  
The Body ◽  
Two Dimensional ◽  
Oncoming Flow ◽  
Stagnation Flow ◽  
Closed Orbits

For a two-dimensional potential flow, Föppl obtained the equilibrium positions for a symmetric vortex pair behind a circular cylinder in a uniform oncoming flow. In this article it is shown that such an equilibrium is in general possible for a vortex in a stagnation flow (e. g. in a corner). Furthermore it is found that a vortex near such an equilibrium position will rotate with a definite frequency around this equilibrium. Expressions are derived for the frequencies associated with the closed orbits of the vortices in the case of equilibrium of a vortex in a stagnation flow and for the equilibrium of the symmetric vortex pair behind a circular cylinder in oncoming flow. For the large-amplitude case the vortex trajectories are claculated using a fifth-order Runge-Kutta integration method. The analysis is then extended to the case of a simple wing-body combination in a cross-flow such as arises for a slender aircraft at an angle of attack with vortices generated by strakes or at the front part of the body. At the wint-body junctions the motions of the vortices may be periodic, quasi-periodic or the vortices may be swept away, depending on the initial conditions.

scholarly journals Steady Prandtl-Batchelor flows past a circular cylinder

2006 ◽  
Vol 48 (2) ◽  
pp. 165-177 ◽  
Author(s):  
G. C. Hocking
Keyword(s):  
Circular Cylinder ◽  
High Reynolds Number ◽  
Vortex Pair ◽  
Wake Region ◽  
Single Vortex ◽  
Outer Flow ◽  
Reynolds Number Flow ◽  
Number Flow ◽  
High Reynolds ◽  
Range Of Values

AbstractThe high Reynolds number flow past a circular cylinder with a trailing wake region is considered when the wake region is bounded and contains uniform vorticity. The formulation allows only for a single vortex pair trapped behind the cylinder, but calculates solutions over a range of values of vorticity. The separation point and length of the region are determined as outputs. It was found that using this numerical method there is an upper bound on the vorticity for which solutions can be calculated for a given arclength of the cavity. In some cases with shorter cavities, the limiting solutions coincide with the formation of a stagnation point in the outer flow at both separation from the cylinder and reattachment at the end of the cavity.

The interaction of a diffusing line vortex and an aligned shear flow

1985 ◽  
Vol 399 (1817) ◽  
pp. 367-375 ◽  
Keyword(s):  
Exact Solution ◽  
Circular Cylinder ◽  
Shear Flow ◽  
Kinematic Viscosity ◽  
Stokes Equations ◽  
Radial Distance ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Line Vortex ◽  
Linear Shear

An exact solution of the Navier─Stokes equations of incompressible flow, which represents the interaction of a diffusing line vortex and a linear shear flow aligned so that initially the streamlines in the shear flow are parallel to the line vortex, is presented. If Γ is the circulation of the line vortex and v the kinematic viscosity then, when Re ═ Γ/2π v is large, the vorticity of the shear flow is expelled from the circular cylinder 0 < r ≪ ( vt ) 1/2 Re 1/3 , where r is the distance from the axis of the diffusing line vortex and t the time since initiation of the flow. At larger radii a peak vorticity 0.903Ω Re 1/3 is found at a radial distance 1.26( vt )1/2 Re 1/3 , where Ω is the initial uniform vorticity in the shear flow. The vortex filament is embedded in a growing cylinder from which vorticity has been expelled, the cylinder itself being bounded by an annular region of thickness of order Re 1/3 ( vt ) 1/2 in which the vorticity is of order Ω Re 1/3 .

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