Turbulence in Buoyant Jets Using an Integral Flux Formulation

Abstract

The turbulent kinetic energy k, and eddy dissipation rate e for an axisymmetric turbulent buoyant jet are numerically determined. An outline of the derivation of the governing equations for these quantities from the time-averaged Navier-Stokes Equations is given. The Boussinesq approximation is adopted. An integral model is used to reduce the system of partial differential equations to one of ordinary differential equations by assuming Gaussian cross sections and quantities corresponding to the ux of kx14; and exF; are found. This turbulence model is coupled with a well known model for the mean-field behavior of buoyant jets. Results from the integration of the system of equations are given as well as comparisons to experimental data for air/air jets which show agreement with the predicated output of the model.

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Document Details

Document Type
Technical Report
Publication Date
Dec 10, 2012
Accession Number
AD1108718

Entities

People

  • David B. Gouldey
  • Jonathan T. Schwalbe
  • Joseph A. Hopper

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Buoyancy
  • Computational Fluid Dynamics
  • Computational Science
  • Constitutive Equations
  • Differential Equations
  • Dynamics
  • Equations
  • Experimental Data
  • Froude Number
  • Kinetic Energy
  • Layers
  • Measurement
  • Navier Stokes Equations
  • Partial Differential Equations
  • Stratified Fluids
  • Turbulence
  • Turbulent Flow
  • Turbulent Mixing

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.