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Turbulent Flow and Transport
5
Bounded Flows I: General Near−Wall Scaling Laws;
Flows in Pipes, Channels, etc.
5.1
Division of a wall−bounded turbulent shear flow into an inner (or constant−
shear) layer near the wall, and an "outer layer." Prandtl’s "universal law of the
wall"
a universal scaling law for the mean velocity and the turbulence
properties in the inner layer. The viscous and inertial (or logarithmic) sublayers of
the inner layer, and the mean velocity profile in each of these layers, based on
dimensional and mixing−length arguments. Comparison with experimental data.
The velocity−defect "law" for the mean velocity in the outer layer.
5.2
Turbulent eddy diffusivity in the inner layer. Universal expressions for y
+
→
0
(based on Taylor expansion about y=0) and y+
→∞
(based on the logarithmic
profile). Some postulated expressions for the entire inner layer: Reichardt’s,
Deissler’s, Van Dreist’s, etc.
5.3
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This note was uploaded on 09/16/2011 for the course ME 563 taught by Professor Staff during the Spring '11 term at Auburn University.
 Spring '11
 Staff
 Shear

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