ON THE GROWTH AND DECAY OF DISCONTINUITIES IN FLUIDS WITH INTERNAL STATE VARIABLES.

Abstract

In the non-linear theory of one-dimensional motions of fluids exhbiting mechanical dissipation through the relaxation of internal state variables, one can derive exact expressions for the growth and attenuation of acceleration waves and higher-order waves. The methods and concepts used are simpler than those required for analogous problems in the general theory of materials with fading memory. Here we discuss in detail the time dependence of the amplitude of waves propagating into homogeneous regions at equilibrium. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1967
Accession Number
AD0652587

Entities

People

  • Bernard D. Coleman
  • Morton E. Gurtin

Organizations

  • Carnegie Institute of Technology

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Attenuation
  • Chemical Reaction Properties
  • Discontinuities
  • Dissipation
  • Intensity
  • Losses
  • Materials
  • Time Dependence

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis