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The Effect of Stratification on the Aerodynamic Roughness Length and Displacement Height
Authors:S S Zilitinkevich  I Mammarella  A A Baklanov  S M Joffre
Institution:(1) Division of Atmospheric Sciences, University of Helsinki, Box 64, 00014 Helsinki, Finland;(2) Department of Meterological Research, Finnish Meteorological Institute, Box 503, 00101 Helsinki, Finland;(3) Nansen Environmental and Remote Sensing Centre, Thormohlensgt. 47, 5006 Bergen, Norway;(4) Danish Meteorological Institute, Lyngbyvej 100, 2100 Copenhagen, Denmark
Abstract:The roughness length, z 0u , and displacement height, d 0u , characterise the resistance exerted by the roughness elements on turbulent flows and provide a conventional boundary condition for a wide range of turbulent-flow problems. Classical laboratory experiments and theories treat z 0u and d 0u as geometric parameters independent of the characteristics of the flow. In this paper, we demonstrate essential stability dependences—stronger for the roughness length (especially in stable stratification) and weaker but still pronounced for the displacement height. We develop a scaling-analysis model for these dependences and verify it against experimental data.
Keywords:Air pollution  Convection  Displacement height  Logarithmic surface layer  Roughness length  Stable stratification  Urban and vegetation canopies
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