Accession Number : AD0657315

Title :   USE OF LAGRANGIAN COORDINATES FOR SHIP WAVE RESISTANCE (FIRST- AND SECOND-ORDER THIN-SHIP THEORY).

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV BERKELEY COLL OF ENGINEERING

Personal Author(s) : Wehausen,John V.

Report Date : JUN 1967

Pagination or Media Count : 41

Abstract : The wave motion generated by the steady motion of a ship is formulated 'exactly' in Lagrangian coordinates. An approximation scheme is then developed based upon a method of iteration. The first iteration can be chosen so as to yield the Michell thin-ship theory. The second iteration produces more complicated formulas. However, if the smallness of draft/length is taken into account, the formula for the resistance simplifies to one similar to Michell's, but with the integral taken over a modified region and with a modified hull function, plus a line integral over the profile which represents a distribution of dipoles with strength proportional to the waterline slopes. (Author)

Descriptors :   (*SHIPS, HYDRODYNAMICS), WATER WAVES, MOTION, DRAG, FUNCTIONS(MATHEMATICS), INTEGRALS, ITERATIONS, APPROXIMATION(MATHEMATICS), EQUATIONS OF MOTION

Subject Categories : Marine Engineering

Distribution Statement : APPROVED FOR PUBLIC RELEASE