COMPARISON OF TWO APPROXIMATE DIPOLE DISTRIBUTIONS FOR A LENTICULAR CYLINDER IN A SEMI-INFINITE FLUID

Abstract

The exact and linearized dipole distributions generating lenticular cylinders in an infinite fluid are compared for various values of a fullness parameter. These dipole distributions are approximations to the exact dipole distribution generating a (vertical) lenticular cylinder in the presence of a free surface. Each dipole distribution has a wave resistance, the wave resistance of the linearized dipole distribution being Michell's wave resistance for the lenticular cylinder. For practical values of a fullness parameter, the two approximate dipole distributions are not very close, and for Froude numbers around .4 the wave resistances m y differ by as much as 40%. This difference is larger than the uncertainty in the measured wave resistance. If Michell's dipole distribution for an arbitrary form is modified in an ad hoc but natural way suggested by the results for lenticular cylinders, a comparison with existing measured wave resistance can be carried out. Similar remarks apply to the asymptotic behaviour of the wave resistance at low speed.

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Document Details

Document Type
Technical Report
Publication Date
Feb 15, 1962
Accession Number
AD0278726

Entities

People

  • J. Kotik
  • V. Mangulis

Organizations

  • Control Data Corporation

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Bessel Functions
  • Cartesian Coordinates
  • Civil Engineering
  • Complex Variables
  • Computational Science
  • Dipole Moments
  • Engineering
  • Equations
  • Fluid Mechanics
  • Froude Number
  • Marine Engineering
  • Mathematics
  • Military Research
  • Naval Architecture
  • New York
  • Power Series

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Marine Hydrodynamics