# Law of the wall

(Difference between revisions)
 Revision as of 13:26, 18 June 2010 (view source)Björn (Talk | contribs)← Older edit Revision as of 13:53, 18 June 2010 (view source)Björn (Talk | contribs) Newer edit → Line 2: Line 2: :$u^+ = \frac{1}{\kappa} \, ln(y^+) + B$ :$u^+ = \frac{1}{\kappa} \, ln(y^+) + B$ + + and close to the wall in the viscous sublayer + + :$u^+ = y^+$ Where: Where:

## Revision as of 13:53, 18 June 2010

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 ($\approx 0.41$) $C$ 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.