Law of the wall

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

:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + B</math>

and close to the wall in the viscous sublayer

:<math>u^+ = y^+</math>

Where:

:{| border="1" cellspacing="0" cellpadding="5"
|- 
|<math>u^+</math> || [[Dimensionless velocity]]
|-
|<math>y^+</math> || [[Dimensionless wall distance]]
|-
|<math>\kappa</math> || von Karman's constant (<math>\approx 0.41</math>)
|-
|<math>B</math> || Constant (<math>\approx 5.1</math>)
|}


''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. 

[[Image:law of the wall.jpg]]

{{stub}}