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
1997 ◽  
Vol 345 ◽  
pp. 101-131
Author(s):  
M. D. KUNKA ◽  
M. R. FOSTER

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.


2019 ◽  
Vol 191 ◽  
pp. 106504 ◽  
Author(s):  
Chunlin Wu ◽  
Spyros A. Kinnas ◽  
Zhihao Li ◽  
Yunjun Wu

2020 ◽  
Vol 28 ◽  
pp. 2057-2061
Author(s):  
Sartaj Tanweer ◽  
Anupam Dewan ◽  
Sanjeev Sanghi ◽  
Anuj Kumar Shukla

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