Dimensionless velocity

(Difference between revisions)

Latest revision as of 15:02, 11 May 2006

A non-dimensional velocity for a wall-bounded flow can be defined in the following way:

$u^+ \equiv \frac{U}{u_*}$

Where $U$ is the local velocity and $u_*$ is the friction velocity at the closest wall.

$u^+$ is called the dimensionless velocity and is commonly used in boundary layer theory and in defining the law of the wall.

@@ Line 1: / Line 1: @@
 A non-dimensional velocity for a wall-bounded flow can be defined in the following way:
-:<math>u^+ \equiv \frac{\U}{\u_*}}</math>
+:<math>u^+ \equiv \frac{U}{u_*}</math>
-Where <math>U</math> is the local velocity and <math>\u_*</math> is the [[Friction velocity|friction velocity]] at the closest wall.
+Where <math>U</math> is the local velocity and <math>u_*</math> is the [[Friction velocity|friction velocity]] at the closest wall.
+<math>u^+</math> is called the dimensionless velocity and is commonly used in boundary layer theory and in defining the [[Law of the wall|law of the wall]].
 [[Category:Dimensionless parameters]]