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New expressions for the surface roughness length and displacement height in the atmospheric boundary layer
Authors:Lin Jian-Zhong  Li Hui-Jun  Zhang Kai
Affiliation:State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; China Jiliang University, Hangzhou 310018, China
Abstract:An alternative model for the prediction of surface roughness lengthis developed. In the model a new factor is introduced to compensatefor the effects of wake diffusion and interactions between the wakeand roughness obstacles. The experiments are carried out by the useof the hot wire anemometry in the simulated atmospheric boundarylayer in a wind tunnel. Based on the experimental data, a newexpression for the zero-plane displacement height is proposed forthe square arrays of roughness elements, which highlights theinfluence of free-stream speed on the roughness length. It appearsthat the displacement height increases with the wind speed while thesurface roughness length decreases with Reynolds number increasing.It is shown that the calculation results based on the newexpressions are in reasonable agreement with the experimental data.
Keywords:roughness length   zero-planedisplacement height   atmospheric boundary layer   free stream speed  packing density
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