Law of the wall

(Difference between revisions)

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.

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@@ Line 1: / Line 1: @@
 In the log layer the velocity profile can be estimated with the log law:
-:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + C</math>
+:<math>u^+ = \frac{1}{\kappa} \, ln(y^+) + B</math>
+and close to the wall in the viscous sublayer
+:<math>u^+ = y^+</math>
 Where:
@@ Line 13: / Line 17: @@
 |<math>\kappa</math> || von Karman's constant (<math>\approx 0.41</math>)
 |-
-|<math>C</math> || Constant (<math>\approx 5.0</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:Img_lawOfTheWall_whiteBG.png‎]]
 {{stub}}