Power-law velocity profile in turbulent boundary layers: An integral reynolds-number dependent solution |
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| Authors: | Oscar Castro-Orgaz Subhasish Dey |
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| Institution: | 1.IAS-CSIC,National Research Council,Cordoba,Spain;2.Department of Civil Engineering,Indian Institute of Technology,Kharagpur,India |
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| Abstract: | 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. |
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