Complete expressions are derived for the inertia forces and moments acting on a small body in a six-degree-of-freedom motion in a three-dimensional unsteady flow in an unbounded ideal fluid. The far-field approximation of the body motion is represented by a series of multipoles located at the origin of the body. Unsteady terms are expanded in a dual series to the multipole series. Lagally integrals are expressed in terms of multipoles as well, by using Legendre polynomial expansions. New inertia force expressions are derived by truncating the multipole series after the quadrupoles. Corresponding terms for moments are also developed. The derived formulas are still compact enough for engineering applications. Many practical problems involving fixed and oscillating cylinders, piles, and risers are studied numerically. Comparisons to the Morison equation formulation prove that the nonlinear convective terms are not negligible in multidimensional relative flows.
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May 1993
Research Papers
Forces and Moments on a Small Body Moving in a 3-D Unsteady Flow (With Applications to Slender Structures)
L. Foulhoux,
L. Foulhoux
Production, Elf Aquitaine, Marine Advanced Techniques Section, Pau, France
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M. M. Bernitsas
M. M. Bernitsas
Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109-2145
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L. Foulhoux
Production, Elf Aquitaine, Marine Advanced Techniques Section, Pau, France
M. M. Bernitsas
Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109-2145
J. Offshore Mech. Arct. Eng. May 1993, 115(2): 91-104 (14 pages)
Published Online: May 1, 1993
Article history
Received:
October 6, 1991
Revised:
October 15, 1992
Online:
June 12, 2008
Citation
Foulhoux, L., and Bernitsas, M. M. (May 1, 1993). "Forces and Moments on a Small Body Moving in a 3-D Unsteady Flow (With Applications to Slender Structures)." ASME. J. Offshore Mech. Arct. Eng. May 1993; 115(2): 91–104. https://doi.org/10.1115/1.2920105
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