Use of Eulerian initial conditions in a Lagrangian model of turbulent diffusion

Conference · Sat Jan 01 04:00:00 EST 1983

DOI:https://doi.org/10.1016/0004-6981(83)90072-0· OSTI ID:6642707

Lee, J T; Stone, G L

Simple analytic solutions were obtained for relative diffusion and meandering of puffs and plumes based upon the random-force theory of turbulent diffusion. These solutions assume that the initial velocities of the tracer particles are identical to the turbulent field velocities at the source location. The spatial and temporal correlation of these velocities are, therefore, determined by the Eulerian space-time autocorrelation function, and the appropriate ensemble averages can be calculated if this correlation function is known. These solutions exhibit many of the known features of relative diffusion and are in general agreement with similarity theory for the inertial subrange. The solutions are presented in dimensionless form and are applicable to turbulent diffusion on any scale. To apply these results to actual experiments, the magnitude of the Eulerian integral length scale L and the Eulerian and Lagrangian integral time scale t/sub E/ and t/sub L/ must be known. These can be determined only from experimental data.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 6642707
• Report Number(s): LA-UR-82-3034; CONF-830307-4; ON: DE83003479
• Country of Publication: United States
• Language: English

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54 ENVIRONMENTAL SCIENCES
CLUSTER EMISSION MODEL
DIFFUSION
FUNCTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MULTIPERIPHERAL MODEL
PARTICLE MODELS
PARTICLES
PARTICULATES
PERIPHERAL MODELS
PLUMES
SPACE-TIME MODEL
TURBULENCE
VELOCITY