MATHEMATICAL METHODS FOR CALCULATING SHIP HULL FORMS OF DECREASED WAVE-MAKING RESISTANCE

Abstract

The development of ship hull forms of decreased wave-making resistance by mathematical methods has received some investigation in the past few years but little application. However, it appears that much more application can be obtained by use of improved mathematical methods recently developed. The theory and effectiveness at work by other authors is reviewed. In addition, the mathematical machinery necessary to calculate hull forms by a method of steep descent is developed and applied to a simple example. The necessary resistance equations are formulated. A closed form solution is obtained for the smoothly varying portion of the wave-making resistance of an assemblage of sources and sinks traveling near the surface of the water. An integral for the interference terms which com prise the fluctuating portion of the wave-making resistance is also presented in the shape of a Laplace transform. It is concluded that much more extensive use may be made of mathematical methods to improve hull forms than has been the case heretofore.

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Document Details

Document Type
Technical Report
Publication Date
Apr 29, 1963
Accession Number
AD0404880

Entities

People

  • S. W. Shor

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dipole Moments
  • Equations
  • Equations Of Motion
  • Froude Number
  • Hulls (Marine)
  • Integrals
  • Mathematics
  • Naval Architecture
  • Ship Hulls
  • Sine Waves
  • Waveforms
  • Waves

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Fluid Mechanics and Fluid Dynamics.
  • Theoretical Analysis.