# Law of the wall

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## Latest revision as of 08:32, 7 September 2011

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

$u^+ = y^+$

Where:

 $u^+$ 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.