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Law of the wall

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:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + B</math>
:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + B</math>
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 +
and close to the wall in the viscous sublayer
 +
 +
:<math>u^+ = y^+</math>
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.

Law of the wall.jpg


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