Abstract

A mathematically-defined family of ship hulls that consist of a forebody 0 ≤ × ≤ ; and a cylindrical region -1+ ≤ × ≤ 0 aft of the forebody is considered. The cylindrical surface aft of the forebody has nearly rectangular framelines, with beam 2b and draft d: The forebody is determined by its length ℓ and seven other parameters that further control its shape. These eight shape parameters, plus the beam and the draft, define a relatively general and realistic mathematical family of ship hulls that can be used for optimization and related basic studies. The calm-water drag of this family of ship hulls is estimated as the sum of the friction drag and the wave drag given by the classical ITTC friction formula and the Hogner slender-ship approximation. This approach provides a particularly simple and efficient way of estimating the total drag that can be used to gain insight for concept and preliminary design. The variations of the displacement volume, the friction and wave components of the drag, and the total drag of the hull that result from variations of the parameters associated with the mathematical family of ship hulls are considered.

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