Development of a Unified Heuristic Model of Fluid Turbulence

Abstract

A unified heuristic model of fluid turbulence is proposed which supplements the basic equations of motion and continuity so as to define determinate solutions under a wide variety of conditions. A single set of equations applies to all cases. Only the boundary conditions change for each application. The Reynolds stresses are related to the mean flow heuristically, through an eddy viscosity. This also involves the turbulent energy, which is analyzed with the aid of empirical expressions for dissipation and diffusion. A characteristic local length scale is introduced, based on a generalization of von Karmon's mixing length. The model is illustrated by application to a channel and a jet. Agreement with experiment is noted. The report also includes an original analysis of the stress/strain rate relation.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0727103

Entities

People

  • John W. Pritchett
  • Theodore H. Gawain

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Equations Of Motion
  • Experimental Data
  • Flow Fields
  • Fluid Dynamics
  • Fluid Mechanics
  • Hydrodynamics
  • Incompressible Flow
  • Kinetic Energy
  • Measurement
  • Mechanics
  • Shear Stresses
  • Turbulent Diffusion
  • Turbulent Flow

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.