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Título: | Power-law velocity profile in turbulent boundary layers: An integral reynolds-number dependent solution |
Autor: | Castro-Orgaz, Óscar CSIC; Dey, Subhasish | Palabras clave: | Turbulence Stream flows Boundary layer Reynolds stress Power-law |
Fecha de publicación: | oct-2011 | Editor: | Springer Nature | Citación: | Acta Geophysica 59(5): 993-1012 (2011) | Resumen: | Geophysical flows of practical interest encompass turbulent boundary layer flows. The velocity profile in turbulent flows is generally described by a log- or a power-law applicable to certain zones of the boundary layer, or by wall-wake law for the entire zone of the boundary layer. In this study, a novel theory is proposed from which the power-law velocity profile is obtained for the turbulent boundary layer flow. The new power-law profile is based on the conservation of mass and the skin friction within the boundary layer. From the proposed theory, analytical expressions for the power-law velocity profile are presented, and their Reynolds-number dependency is highlighted. The velocity profile, skin friction coefficient and boundary layer thickness obtained from the proposed theory are validated by the reliable experimental data for zero-pressure gradient turbulent boundary layers. The expressions for Reynolds shear stress and eddy viscosity distributions across the boundary layer are also obtained and validated by the experimental data. © 2011 Institute of Geophysics. | URI: | http://hdl.handle.net/10261/90636 | DOI: | 10.2478/s11600-011-0025-1 | Identificadores: | doi: 10.2478/s11600-011-0025-1 issn: 1895-6572 e-issn: 1895-7455 |
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