# Accession Number:

## AD0259812

# Title:

## AN APPROXIMATION TO MICHELL'S INTEGRAL IN TERMS OF HULL FORM PARAMETERS

# Descriptive Note:

# Corporate Author:

## CALIFORNIA UNIV BERKELEY INST OF ENGINEERING RESEARCH

# Personal Author(s):

# Report Date:

## 1961-03-31

# Pagination or Media Count:

## 1.0

# Abstract:

In order to find parameters most appropriate to the gravitational part of ship resistance, Michells integral is studied, since this formulation is the only available analytic expression for any part of ship resistance. The procedure consists in approximating Michells integral by replacing the hull in question with a phantom hull like it with respect to certain parameters. These parameters arise from an intuitively appealing criterion for approximation, a criterion which establishes an order for the introduction of parameters into the calculations. A pro f is given of convergence of the phantom hull resistance to the resistance of the subject hull as the number of parameters used becomes infinite. Furthermore, it is proved that the procedure constitutes a high-speed approximation in that an order of approximation subject to a certain maximum error at any speed gives, at most, that same error at any higher speed. A thor