Closure to “Discussions of ‘Numerical Solution for Laminar Two Dimensional Flow About a Cylinder Oscillating in a Uniform Stream’” (1982, ASME J. Fluids Eng., 104, pp. 220–221)

1982 ◽  
Vol 104 (2) ◽  
pp. 221-222
Author(s):  
S. E. Hurlbut ◽  
M. L. Spaulding ◽  
F. M. White
Keyword(s):  
Numerical Solution ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Uniform Stream

Numerical Solution for Laminar Two Dimensional Flow About a Cylinder Oscillating in a Uniform Stream

1982 ◽  
Vol 104 (2) ◽  
pp. 214-220 ◽  
Author(s):  
S. E. Hurlbut ◽  
M. L. Spaulding ◽  
F. M. White
Keyword(s):  
Reynolds Numbers ◽  
Quantitative Agreement ◽  
Two Dimensional ◽  
Inertia Effects ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Vortex Shedding Frequency ◽  
Shedding Frequency ◽  
Lock In ◽  
Uniform Stream

A finite difference model is presented for viscous two dimensional flow of a uniform stream past an oscillating cylinder. A noninertial coordinate transformation is used so that the grid mesh remains fixed relative to the accelerating cylinder. Three types of cylinder motion are considered: oscillation in a still fluid, oscillation parallel to a moving stream, and oscillation transverse to a moving stream. Computations are made for Reynolds numbers between 1 and 100 and amplitude-to-diameter ratios from 0.1 to 2.0. The computed results correctly predict the lock-in or wake-capture phenomenon which occurs when cylinder oscillation is near the natural vortex shedding frequency. Drag, lift, and inertia effects are extracted from the numerical results. Detailed computations at a Reynolds number of 80 are shown to be in quantitative agreement with available experimental data for oscillating cylinders.

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