Abstract

This paper defines an asymptotic procedure to generate analytic solutions to the low-aspect-ratio problem of flat ship theory in the limit when the ship is traveling very fast. The leading-order solution terms are worked out, by way of example, for the particular class of hulls with slope fx = -(a + b×) and draft f = -[a(×-y2) + (b/2)(x2-y4)] for y2 ≤ x, 0 ≤ × ≤ 1 with a and b arbitrary constants. A simple expression is worked out in terms of the free constants a and b for the lift and drag and an optimization (over this simple class of hulls) is presented.

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