DERIVATION OF HYPERBOLIC TURBULENT DIFFUSION EQUATION

Abstract

A three dimensional hyperbolic differential equation based on finite correlated particle velocities is derived which is appropriate to modeling anisotropic turbulent diffusion in the atmosphere. Cauchy initial data, the mean wind, the Reynolds stress tensor, and a typical frequency of pulsation are required for complete solution. The outlines of plumes and puffs may be obtained with only knowledge of the Reynolds stress tensor and mean wind velocity. The classical parabolic diffusion equations are a limiting form of this hyperbolic model.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0653015

Entities

People

  • Ronald E. Meyers

Organizations

  • United States Army Communications-Electronics Command

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Atmospheric Motion
  • Atmospheric Sciences
  • Continuity
  • Differential Equations
  • Diffusion
  • Equations
  • Hyperbolic Differential Equations
  • Markov Processes
  • Partial Differential Equations
  • Particles
  • Probability
  • Three Dimensional
  • Turbulence
  • Turbulent Diffusion
  • Wind
  • Wind Velocity

Fields of Study

  • Mathematics

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Fluid Dynamics.