Calculation of particle trajectories in the presence of a gradient in turbulent-velocity variance |
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| Authors: | J D Wilson B J Legg D J Thomson |
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| Institution: | (1) New Zealand Meteorological Service, P.O. Box 722, Wellington, New Zealand;(2) Department of Land Resource Science, University of Guelph, N1G 2W1 Guelph, Ontario, Canada;(3) National Institute of Agricultural Engineering, Wrest Park, MK45 4HS Silsoe, Bedford, England;(4) Meteorological Office, London Road, RG12 2SZ Bracknell, Berkshire, England |
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| Abstract: | Recent papers by Wilson et al. (1981b) and Legg and Raupach (1982) give methods for the calculation of particle trajectories in turbulence with a gradient in vertical velocity variance 
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w. However the two methods seem contradictory.This paper demonstrates that in systems in which l(d
w
/dz) (where / is the length scale) varies only slowly with height z, the two methods give similar predictions, and indicates why this is the case. For a particular system in which the restriction on l(d
w
/dz) is not satisfied, it is shown that neither method is correct but that a simple modification of the method of Wilson et al. (1981b) gives reasonable predictions. |
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