Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-06-15T16:54:41.486Z Has data issue: false hasContentIssue false
  • English
  • Français

The second-order moment structure of dispersing plumes and puffs

Published online by Cambridge University Press:  26 April 2006

David J. Thomson
David J. Thomson
Affiliation:
Meteorological Office, London Road, Bracknell, Berks RG12 2SZ, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

A description of the behaviour of the second-order moments of concentration for a variety of source types is derived within the context of the classical phenomenology of isotropic turbulence. The sources considered include instantaneous area, line and point sources and can also be interpreted as relating to plumes from continuous point sources and continuous crosswind line sources in a strong uniform mean flow. A large number of different regimes are identified corresponding to different relative sizes of the many length scales involved. Perhaps the most interesting result is the identification of an ‘Inertial–meander’ subrange when the inertial-subrange eddies contribute to the meandering of the plume.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 320 , 10 August 1996 , pp. 305 - 329
Copyright
© 1996 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Batchelor, G. K. 1952 Diffusion in a field of homogeneous turbulence II. The relative motion of particles. Proc. Camb. Phil. Soc. 48, 345–362.Google Scholar
Durbin, P. A. 1980 A stochastic model of two-particle dispersion and concentration fluctuations in homogeneous turbulence. J. Fluid Mech. 100, 279–302.Google Scholar
Egbert, G. D. & Baker, M. B. 1984 Comments on paper ‘The effect of Gaussian particle-pair distribution functions in the statistical theory of concentration fluctuations in homogeneous turbulence’ by B. L. Sawford. Q. J. R. Met. Soc. 110, 1195–1199.Google Scholar
Gifford, F. 1959 Statistical properties of a fluctuating plume dispersion model. Adv. Geophys. 6, 117–137.Google Scholar
Griffiths, R. F. 1991 The use of probit expressions in the assessment of acute population impact of toxic releases. J. Loss Prev. Process Ind. 4, 49–57.Google Scholar
Griffiths, R. F. & Harper, A. S. 1985 A speculation on the importance of concentration fluctuations in the estimation of toxic response to irritant gases. J. Hazard. Mater. 11, 369–372.Google Scholar
Griffiths, R. F. & Megson, L. C. 1984 The effect of uncertainties in human toxic response on hazard range estimation for ammonia and chlorine. Atmos. Environ. 18, 1195–1206.Google Scholar
Herring, J. R., Schertzer, D., Lesieur, M., Newman, G. R., Chollet, J. P. & Larchevêque, M. 1982 A comparative assessment of spectral closures as applied to passive scalar diffusion. J. Fluid Mech. 124, 411–437.Google Scholar
Kraichnan, R. H. 1966 Dispersion of particle pairs in homogeneous turbulence. Phys. Fluids 9, 1937–1943.Google Scholar
Larchevêque, M., Chollet, J. P., Herring, J. R., Lesieur, M., Newman, G. R. & Schertzer, D. 1980 Two-point closure applied to a passive scalar in decaying isotropic turbulence. In Turbulent Shear Flows 2 (ed. L. J. S. Bradbury). Springer.
Larchevêque, M. & Lesieur, M. 1981 The application of eddy-damped Markovian closures to the problem of dispersion of particle pairs. J. Méc. 20, 113–134.Google Scholar
Lesieur, M. 1987 Turbulence in Fluids. Martinus Nijhoff.
Monin, A. S. & Yaglom, A. M. 1971 Statistical Fluid Mechanics, vol 1. MIT Press.
Monin, A. S. & Yaglom, A. M. 1975 Statistical Fluid Mechanics, vol 2. MIT Press.
Mylne, K. R., Davidson, M. J. & Thomson, D. J. 1996 Concentration fluctuation measurements in tracer plumes using high and low frequency response detectors. Boundary-Layer Met. (to appear).Google Scholar
Richardson, L. F. 1926 Atmospheric diffusion shown on a distance-neighbour graph. Proc. R. Soc. Lond. A 110, 709–737.Google Scholar
Sawford, B. L. 1983 The effect of Gaussian particle-pair distribution functions in the statistical theory of concentration fluctuations in homogeneous turbulence. Q. J. R. Met. Soc. 109, 339–354.Google Scholar
Sawford, B. L. & Hunt, J. C. R. 1986 Effects of turbulence structure, molecular diffusion and source size on scalar fluctuations in homogeneous turbulence. J. Fluid Mech. 165, 373–400.Google Scholar
Thomson, D. J. 1987 Criteria for the selection of stochastic models of particle trajectories in turbulent flows. J. Fluid Mech. 180, 529–556.Google Scholar
Thomson, D. J. 1990 A stochastic model for the motion of particle pairs in isotropic high-Reynolds-number turbulence, and its application to the problem of concentration variance. J. Fluid Mech. 210, 113–153.Google Scholar
Townsend, A. A. 1954 The diffusion behind a line source in homogeneous turbulence. Proc. R. Soc. Lond. A 224, 487–512.Google Scholar