INTEGRAL EQUATION SOLUTION FOR A FREE FLOODING CYLINDRICAL SOUND RADIATOR OF FINITE LENGTH.

Abstract

The solution for the finite free flooding cylinder is built up from the solution for a ring on an infinite rigid baffle. The velocity in the field at the ends of the cylinder is the solution of an integral equation which was originally derived by Junger. A computer program has been developed for solving this integral equation and for obtaining the radiation impedance of the cylinder. It is found that the velocity near the ends of the cylinder is highly attenuated within 1/8 wave length away from the ends. Just at the ends the velocity changes radically but this violent changing stops at less than 1/4 wave length from the ends of the cylinder, at which point a regular attenuated sine wave starts. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0627078

Entities

People

  • Joshua E. Greenspon

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Equations
  • Floods
  • Impedance
  • Integral Equations
  • Integrals
  • Mathematics
  • Radiation
  • Sine Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Combustion Dynamics and Shock Wave Physics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)