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A simple representation of a developing contaminant concentration field

Published online by Cambridge University Press:  26 April 2006

B. L. Sawford  and
P. J. Sullivan
B. L. Sawford
Affiliation:
CSIRO Division of Atmospheric Research, Private Bag No 1, Mordialloc, Vic. 3195, Australia
P. J. Sullivan
Affiliation:
Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada N6A5B9
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Abstract

Chatwin & Sullivan (1990) have demonstrated that, for a wide range of self-similar scalar fields, the moments of the probability density function of concentration have a very simple form. Here, an extension to this simple form which takes account of the source distribution is developed. This extension has two effects. Firstly it modifies the values of the two parameters appearing in the original theory and in particular explains the observed behaviour of these parameters very near to a line source of heat in grid tubulence. Secondly, it introduces an additional parameter in the description of each moment beyond the second. It is shown that these additional parameters are necessary in order to describe measurements of the first four central moments throughout the concentration field from a continuous line source of heat in grid-generated turbulence.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 289 , 25 April 1995 , pp. 141 - 157
Copyright
© 1995 Cambridge University Press

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References

Chatwin, P. C. & Sullivan, P. J. 1979 The relative diffusion of a cloud of passive contaminant in incompressible turbulent flow. J. Fluid Mech. 91, 337–355.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1987 Perceived statistical properties of scalars in turbulent shear flows. In Proc. 6th Symp. on Turbulent Shear Flow, Toulouse France, pp. 9.1.1–9.1.6.
Chatwin, P. C. & Sullivan, P. J. 1989 The intermittency factor of scalars in turbulence. Phys. Fluids A 1, 761–763.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1990 A simple and unifying physical interpretation of scalar fluctuation measurements from many turbulent shear flows. J. Fluid Mech. 212, 533–556.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1993 The structure and magnitude of concentration fluctuations. Boundary Layer Met. 62, 169–280.Google Scholar
Chatwin, P. C., Sullivan, P. J. & Yip, H. 1990 Dilution and marked fluid particle analysis. In Proc. Intl. Conf. on Physical Modelling of Transport and Dispersion (ed. E. E. Adams & G. E. Hecker), pp. 6B3–6D8. Massachusetts Inst. of Tech.
Derksen, R. W. & Sullivan, P. J. 1990 Moment approximations for probability density functions. Combust. Flame 81, 378–391.Google Scholar
Derksen, R. W., Sullivan, P. J. & Yip, H. 1994 Asymptotic probability density function of a scalar. AIAA. J. 31, 1083–1084.Google Scholar
Fackrell, J. E. & Robins, A. G. 1982 Concentration fluctuations and fluxes in plumes from point sources in a turbulent boundary layer. J. Fluid Mech. 117, 1–26.Google Scholar
Karnik, V. & Tavoularis, S. 1989 Measurements of heat diffusion from a continuous line source in a uniformly sheared turbulent flow. J. Fluid Mech. 20, 233–261.Google Scholar
Moseley, D. J. 1991 A closure hypothesis for contaminant fluctuations in turbulent flow. MSc thesis, University of Western Ontario.
Sawford, B. L. & Tivendale, C. M. 1992 Measurements of concentration statistics downstream of a line source in grid turbulence. In Proc. 11th Australasian Fluid Mechanics Conf., Hobart, Dec. 14–18, 1992, pp. 945–948. University of Tasmania.
Stapountzis, H., Sawford, B. L., Hunt, J. C. R. & Britter, R. E. 1986 Structure of the temperature field downwind of a line source in grid turbulence. J. Fluid Mech. 65, 401–424.Google Scholar
Sullivan, P. J. 1971 Some data on the distance-neighbour function for relative diffusion. J. Fluid Mech. 47, 601–607.Google Scholar
Sullivan, P. J. & Yip, H. 1989 An approach for predicting some statistics relevant to contaminant spread in an atmospheric boundary layer. In Continuum Mechanics and Its Applications (ed. G. A. C. Graham & S. K. Malik, pp. 837–847. Hemispheric.
Warhaft, Z. 1984 The interference of thermal fields from line sources in grid turbulence. J. Fluid Mech. 144, 368–387.Google Scholar