Abstract
The inapplicability of flux-gradient models of turbulent transport in plant canopies is demonstrated through formal manipulation of the rate equations for eddy flux and consideration of the nature of the diffusivity that describes release from point sources in homogeneous turbulence. A new set of scalar conservation and flux equations is derived by volume averaging the primitive equations which hold exactly in the air spaces between the plants. Source terms and extra waving terms arise because of the noncommutivity of differentiation and volume averaging in the multiply-connected canopy air space. The implicatons of the equation set are worked out for three cases. In the first, they are used to show the exact relationship between leaf transfer resistances and the averaged canopy resistances of the Penman-Monteith single leaf model. Second, we explore the relationship between the eddy flux produced by the action of the turbulent wind on the mean concentration field and the flux produced by the interaction of scalar concentration on foliage surfaces with the drag force and its consequences for canopy models. Third, the importance of the production of eddy flux by buoyant plumes generated at the foliage surface is deduced by a consideration of flux and buoyancy equations in the free convection limit.
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Finnigan, J.J. (1985). Turbulent Transport in Flexible Plant Canopies. In: Hutchison, B.A., Hicks, B.B. (eds) The Forest-Atmosphere Interaction. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5305-5_28
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DOI: https://doi.org/10.1007/978-94-009-5305-5_28
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