Hydrodynamic Forces on Multiple Circular Cylinders

by Tokuo Yamamoto, (M.ASCE), Asst. Prof.; Dept. of Civ. Engrg., Oregon State Univ., Corvallis, Oreg.,

Serial Information: Journal of the Hydraulics Division, 1976, Vol. 102, Issue 9, Pg. 1193-1210

Document Type: Journal Paper


The potential flow solution is determined for a number of cylinders in translational motions perpendicular to their axes and submerged in a uniform flow. The number of cylinders, their radii, and the directions of the motions are all arbitrary. The hydrodynamic forces are obtained analytically. For a simplified case of two cylinders, the general hydrodynamic forces are expressed in terms of six force coefficients which are functions of the cylinder radii and the distance between them. However, the coefficients are independent of the direction of motion of the cylinders. The added mass coefficient of a cylinder moving near a rigid boundary in a still fluid is from 2.3 to 1.0, whereas the coefficient of a stationary cylinder near a rigid circular boundary in a uniform flow varies from 5.6 to -1. The results may be useful to the earthquake resistant design of offshore structures as well as to the wave force design of such structures.

Subject Headings: Hydrodynamics | Cylinders | Motion (dynamics) | Potential flow | Submerged flow | Uniform flow | Domain boundary | Fluid flow

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