PERTURBATION SOLUTIONS FOR NONLINEAR PLANE WAVE EQUATIONS OF ACOUSTICS,

Abstract

General principles are established for the solu tion of a reasonably general set of nonlinear partial differential equations describing large amplitude propagation of plane waves through an ideal gas having constant coefficients of vis cosity, heat dnnduction, and heat radiation. A perturbation technique is used which permits the set of nonlinear equations, for which there are no known closed form solutions, to degenerate into an infinite number of sets of linear equa tions for closed form solutions can be obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0417087

Entities

People

  • William C. Sperry

Organizations

  • IIT Research Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Amplitude
  • Coefficients
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Perturbations
  • Plane Waves
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Snow Cover Descriptors for Reptiles and Their Illustrations.