Abstract
Within vegetation canopies, the turbulent kinetic energy ( k) budget is mainly modelled through source terms added to the free-air state formulation. The dependence of the modelled source term coefficients upon a dimensionless ratio ( λ) between the mixing length for turbulent transport ( l m ) and the relaxation length scale ( l ε ) of Kolmogorov's relation is proposed. Using dimensional analysis, the order of magnitude variation of the terms involved in the newly proposed model for the coefficients of these source terms are derived. When λ is a constant, this generalized model results in a similarity constant ( C ε 4 ) independent of the source term model, lending support to an earlier conjecture by Seginer. To cite this article: C. Sanz, G.G. Katul, C. R. Mecanique 335 (2007).
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