Quasiperiodicity and phase locking route to chaos in the 2‐D oscillatory flow around a circular cylinder

1993 ◽  
Vol 5 (8) ◽  
pp. 1866-1868 ◽  
Author(s):  
Giovanna Vittori ◽  
Paolo Blondeaux
Keyword(s):  
Circular Cylinder ◽  
Oscillatory Flow ◽  
Phase Locking ◽  
Route To Chaos

Oscillatory flow past a circular cylinder in a rotating frame

1997 ◽  
Vol 345 ◽  
pp. 101-131
Author(s):  
M. D. KUNKA ◽  
M. R. FOSTER
Keyword(s):  
Circular Cylinder ◽  
Steady Flow ◽  
Stagnation Point ◽  
Oscillatory Flow ◽  
Numerical Solutions ◽  
Initial Conditions ◽  
Temporal Integration ◽  
Oncoming Flow ◽  
Flow Past ◽  
Rear Stagnation Point

Because of the importance of oscillatory components in the oncoming flow at certain oceanic topographic features, we investigate the oscillatory flow past a circular cylinder in an homogeneous rotating fluid. When the oncoming flow is non-reversing, and for relatively low-frequency oscillations, the modifications to the equivalent steady flow arise principally in the ‘quarter layer’ on the surface of the cylinder. An incipient-separation criterion is found as a limitation on the magnitude of the Rossby number, as in the steady-flow case. We present exact solutions for a number of asymptotic cases, at both large frequency and small nonlinearity. We also report numerical solutions of the nonlinear quarter-layer equation for a range of parameters, obtained by a temporal integration. Near the rear stagnation point of the cylinder, we find a generalized velocity ‘plateau’ similar to that of the steady-flow problem, in which all harmonics of the free-stream oscillation may be present. Further, we determine that, for certain initial conditions, the boundary-layer flow develops a finite-time singularity in the neighbourhood of the rear stagnation point.

The initial oscillatory flow past a circular cylinder

1995 ◽  
Vol 29 (3) ◽  
pp. 255-269 ◽  
Author(s):  
H. M. Badr ◽  
S. C. R. Dennis ◽  
S. Kocabiyik
Keyword(s):  
Circular Cylinder ◽  
Oscillatory Flow ◽  
Flow Past

Steady streaming around a circular cylinder in an oscillatory flow

2009 ◽  
Vol 36 (14) ◽  
pp. 1089-1097 ◽  
Author(s):  
Hongwei An ◽  
Liang Cheng ◽  
Ming Zhao
Keyword(s):  
Circular Cylinder ◽  
Oscillatory Flow ◽  
Steady Streaming
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