Characteristic length scale of the intermediate structure in zero-pressure-gradient boundary layer flow

AUTOR(ES)

Barenblatt, G. I.

FONTE

The National Academy of Sciences

RESUMO

In a turbulent boundary layer over a smooth flat plate with zero pressure gradient, the intermediate structure between the viscous sublayer and the free stream consists of two layers: one adjacent to the viscous sublayer and one adjacent to the free stream. When the level of turbulence in the free stream is low, the boundary between the two layers is sharp, and both have a self-similar structure described by Reynolds-number-dependent scaling (power) laws. This structure introduces two length scales: one—the wall-region thickness—determined by the sharp boundary between the two intermediate layers and the second determined by the condition that the velocity distribution in the first intermediate layer be the one common to all wall-bounded flows and in particular coincide with the scaling law previously determined for pipe flows. Using recent experimental data, we determine both these length scales and show that they are close. Our results disagree with the classical model of the “wake region.”

Documentos Relacionados

• Structure of the zero-pressure-gradient turbulent boundary layer
• A model of a turbulent boundary layer with a nonzero pressure gradient
• The height of maximum speed-up in the atmospheric boundary layer flow over low hills
• Boundary layer thickness of cylinders and plane surfaces immersed in packed beds in alignment with the flow
• On boundary layer flow of a dusty gas from a horizontal circular cylinder