Power-law velocity profile in turbulent boundary layers: An integral reynolds-number dependent solution
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.
| Main Authors: | , |
|---|---|
| Format: | artículo biblioteca |
| Language: | English |
| Published: |
Springer
2011-10
|
| Subjects: | Turbulence, Stream flows, Boundary layer, Reynolds stress, Power-law, |
| Online Access: | http://hdl.handle.net/10261/90636 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|