HIGH FREQUENCY, PERIODIC DISTURBANCES IN DISSIPATIVE SYSTEM: PART I. SMALL AMPLITUDE, FINITE RATE THEORY.

Abstract

A theory is developed describing finite amplitude, high frequency, periodic disturbances in dissipative systems. Although, for definiteness, the transmitting medium is taken to be a viscoelastic string, the results are applicable to nonlinear transmission lines and nonlinear dielectrics, as well as relaxing and reacting gas mixtures. Part I of the paper describes small amplitude but finite rate processes: part II will describe disturbances of unrestricted amplitude. It is shown that by interpreting high frequency waves as modulated simple waves with slowly changing Riemann invariants, the parameter expansion techniques of geometrical optics can be modified to include finite amplitude waves. The roles of the linear models of viscoelasticity and elasticity as well as that of nonlinear elasticity as approximations to the nonlinear viscoelastic model are elucidated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0689479

Entities

People

  • B. R. Seymour
  • E. Varley

Organizations

  • Lehigh University

Tags

DTIC Thesaurus Topics

  • Acoustic Channels
  • Acoustic Waveguides
  • Amplitude
  • Dielectrics
  • Elastic Properties
  • Frequency
  • Frequency Shift
  • Nonlinear Transmission Lines
  • Transmission Lines
  • Transmitting
  • Ultrasounds
  • Viscoelasticity
  • Waveguides
  • Waves

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.