DIFFRACTION OF PLANE ACOUSTIC PULSES BY OBSTACLES OF ARBITRARY CROSS SECTION WITH AN IMPEDANCE BOUNDARY CONDITION,

Abstract

The diffraction of an arbitrary acoustic pulse by an arbitrary scattering obstacle with an impedance boundary condition is treated. The problem is formulated as an integro-differential equation on surface values of pressure or velocity; this equation is then solved numerically for the specific geometry of a long cylinder of square cross section struck laterally by a step pulse in pressure. A useful economy is that the coefficients used in the approximation are independent of the boundary condition and are identical to those used for previous studies involving the same geometry. Results indicate that the surface pressure decreases from the rigid body solution for infinite impedance to an almost constant level for the boundary impedance equal to the fluid impedance. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0657844

Entities

People

  • Richard P. Shaw

Organizations

  • University at Buffalo

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Differential Equations
  • Diffraction
  • Equations
  • Geometry
  • Impedance
  • Mathematics
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.