Law of the wall

(Difference between revisions)

Revision as of 14:53, 5 September 2011

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

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

and close to the wall in the viscous sublayer

$u^+ = y^+$

Where:

$u^+$	Dimensionless velocity
$y^+$	Dimensionless wall distance
$\kappa$	von Karman's constant ( $\approx 0.41$ )
$C$	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.

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 In the log layer the velocity profile can be estimated with the log law:
-:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + B</math>
+:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + C</math>
 and close to the wall in the viscous sublayer