Abstract

Infinite and periodic arrays of porous disks are considered, in oscillatory flow perpendicular to their planes. This configuration is of interest for the offshore oil industry, for instance to be used as dampers to reduce the heave motion of truss SPAR platforms. The hydrodynamic problem is solved by the method of matched eigenfunction expansions, under the assumptions that losses of head, proportional to the square of the traversing velocities, occur at the disks, and that potential flow theory is applicable. Added mass and damping coefficients are derived, as functions of the relative spacings between the disks, and of the parameter (A/a)(1−τ)/(2 μτ2), where A is the flow motion amplitude, a the disks radii, τ the porosity, or open-area ratio, andμ a discharge coefficient, close to 0.5. Results are also given for disks that are partially porous, from their axis to some radial distance. The practical applicability of the obtained results is discussed.

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