A turbulent-transport model for concentration fluctuations and fluxes

Author:

Sykes R. I.,Lewellen W. S.,Parker S. F.

Abstract

A second-order closure model describing the diffusion of a passive scalar from a small source is presented. The model improves upon the earlier work of Lewellen & Teske (1976) by ensuring the early stage of the release, the so-called meander phase, is accurately described. In addition to the mean concentration and scalar fluxes, a model equation for the evolution of the scalar variance is proposed. The latter introduces a new lengthscale which represents the scale of the concentration fluctuations. The model predictions are compared with the recent experimental data of Fackrell & Robins (1982a, b).

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference31 articles.

1. Newman, G. R. & Herring, J. R. 1979 A test field model study of passive scalar in isotropic turbulence J. Fluid Mech. 94,163–194.

2. Lewellen, W. S. 1977 Use of invariant modelling. In Handbook of Turbulence (ed. W. Frost & T. M. Moulden ).Plenum.

3. Fackrell, J. E. & Robins, A. G. 1982b The effects of source size on concentration fluctuations in plumes.Boundary-Layer Met. 22,335–350.

4. Lewellen, W. S. & Teske, M. E. 1976 Second-order closure modelling of diffusion in the atmospheric boundary layer Boundary-Layer Met. 10,69–90.

5. Chatwin, P. C. & Sullivan, P. J. 1979a The relative diffusion of a cloud of passive contaminant in incompressible turbulent flow J. Fluid Mech. 91,337–355.

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