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Law of the wall

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In the log layer the velocity profile can be estimated with the log law:

u^+ = \frac{1}{\kappa} \, ln(y^+) + B

and close to the wall in the viscous sublayer

u^+ = y^+


u^+ Dimensionless velocity
y^+ Dimensionless wall distance
\kappa von Karman's constant (\approx 0.41)
B Constant (\approx 5.1)

We should have a lin-log plot here of a typical turbulent boundary layer to illustrate where the log-law is valid, anyone have one handy?

In the image y is replaced with the letter n.

Img lawOfTheWall whiteBG.png

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