Power-law velocity profile in turbulent boundary layers: An integral reynolds-number dependent solution

• Autorzy: Castro-Orgaz O. , Dey S.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

boundary layer; power law; Reynolds stress; stream flows; turbulence

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2011
• Tom: Vol. 59, no. 5
• Strony: 993--1012
• Opis fizyczny: Bibliogr. 40 poz.

Twórcy

autor

Castro-Orgaz O.

autor

Dey S.

• IAS-CSIC, National Research Council, Cordoba, Spain,

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