The velocity field in hydromagnetic oscillatory flow past an impulsively started porous limiting surface with variable suction

1979 ◽  
Vol 63 (2) ◽  
pp. 419-438 ◽  
Author(s):  
G. A. Georgantopoulos ◽  
C. N. Douskos ◽  
G. L. Vassios ◽  
G. A. Katsiaris
1981 ◽  
Vol 74 (2) ◽  
pp. 265-272
Author(s):  
N. G. Kafousias ◽  
C. N. Douskos ◽  
G. L. Vassios ◽  
G. A. Georgantopoulos ◽  
C. L. Goudas

1981 ◽  
Vol 76 (1) ◽  
pp. 133-148 ◽  
Author(s):  
N. G. Kafousias ◽  
A. A. Raptis ◽  
G. A. Georgantopoulos ◽  
C. L. Goudas

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.


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