Abstract
The problem considered is the potential flow and added mass of a rigid prolate spheroid, half immersed in a free surface, and oscillating horizontally in the direction of its minor axis at high frequency. The resulting expression for the added mass is simplified mathematically, especially for the limiting cases of very elongated or nearly spherical ellipsoids, and a pleasingly simple, exact result is obtained for the sphere. The curve showing the variation of the added-mass coefficient with fineness ratio is compared with the corresponding values for vertical oscillations and that given by "strip theory."
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