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

[+] Author and Article Information
S. E. Hurlbut, M. L. Spaulding, F. M. White

Department of Ocean Engineering, University of Rhode Island, Kingston, R. I. 02881

J. Fluids Eng 104(2), 214-220 (Jun 01, 1982) (7 pages) doi:10.1115/1.3241810 History: Received November 21, 1979; Online October 26, 2009


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.

Copyright © 1982 by ASME
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