On the Theory of Three-Dimensional Flow about a Ship Moving with Constant Speed in a Regular Sea.

Abstract

The study presents a new integral identity for the velocity potential of three-dimensional flow about a ship moving with constant speed in regular waves. This integral identity is valid outside, inside, and exactly on the surface of the ship, and is equivalent to the set of three classical identities valid strictly outside, inside, and on the ship's surface, respectively. For the usual problem of ship motions in a regular sea, the integral identity obtained in this study yields an integro-differential equation for determining the velocity potential on the ship's surface. A recurrence relation for solving the proposed new integro-differential equation is presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1983
Accession Number
ADA127547

Entities

People

  • Francis Noblesse

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Differential Equations
  • Equations
  • Flow
  • Frequency
  • Froude Number
  • Identities
  • Integral Equations
  • Integrals
  • Naval Architecture
  • Potential Flow
  • Security
  • Ship Hulls
  • Ship Motion
  • Three Dimensional
  • Three Dimensional Flow

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Marine Hydrodynamics