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RESEARCH PAPERS: Offshore Mechanics

Viscosity Effects on the Radiation Hydrodynamics of Horizontal Cylinders

[+] Author and Article Information
R. W. Yeung, C.-F. Wu

Department of Naval Architecture and Offshore Engineering, University of California, Berkeley, CA 94720

J. Offshore Mech. Arct. Eng 113(4), 334-343 (Nov 01, 1991) (10 pages) doi:10.1115/1.2919939 History: Received October 01, 1990; Revised June 11, 1991

Abstract

The problem of a body oscillating in a viscous fluid with a free surface is examined. The Navier-Stokes equations and boundary conditions are linearized using the assumption of small body-motion to wavelength ratio. Generation and diffusion of vorticity, but not its convection, are accounted for. Rotational and irrotational Green functions for a divergent and a vorticity source are presented, with the effects of viscosity represented by a frequency Reynolds number Rσ = g 2 /ν σ 3 . Numerical solutions for a pair of coupled integral equations are obtained for flows about a submerged cylinder, circular or square. Viscosity-modified added-mass and damping coefficients are developed as functions of frequency. It is found that as Rσ approaches infinity, inviscid-fluid results can be recovered. However, viscous effects are important in the low-frequency range, particularly when Rσ is smaller than O(104 ).

Copyright © 1991 by The American Society of Mechanical Engineers
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