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Modified Log–Wake Law For Zero-Pressure-Gradient Turbulent Boundary Layers, Junke Guo, Pierre Y. Julien, Meroney N. Meroney

Department of Civil and Environmental Engineering: Faculty Publications

This paper shows that the turbulent velocity profile for zero-pressure-gradient boundary layers is affected by the wall shear stress and convective inertia. The effect of the wall shear stress is dominant in the so-called overlap region and can be described by a logarithmic law in which the von Karman constant is about 0.4 while the additive constant depends on a Reynolds number. The effect of the convective inertia can be described by the Coles wake law with a constant wake strength about 0.76.A cubic correction term is introduced to satisfy the zero velocity gradient requirement at the boundary layer edge. …