SOLUTIONS FOR NONLINEAR PLANE WAVE EQUATIONS OF ACOUSTICS BY THE METHOD OF FUNCTIONAL INTER RELATIONSHIPS OF DEPENDENT VARIABLES.

Abstract

A general formulation of the theory of propaga tion of finite amplitude waves in a nonlinear, viscous, heat conducting and heat radiating me dium is solved by the device of imposing one ad ditional relationship upon the dependent varia bles. Solutions are offered for two different choices of the additional condition on the de pendent variables. The first of these leads to a complete solution in finite form but does not reduce to the nonviscous formulation upon setting viscosity equal to zero. The second solution which fulfills this latter condition is presented in the form both of an infinite series represen tation and graphically. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0418019

Entities

People

  • Verner J. Raelson

Organizations

  • IIT Research Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Amplitude
  • Biophysics
  • Differential Equations
  • Equations
  • Infinite Series
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Physics
  • Plane Waves
  • Viscosity
  • Wave Equations
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Snow Cover Descriptors for Reptiles and Their Illustrations.