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Dimensionless velocity

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A non-dimensional velocity for a wall-bounded flow can be defined in the following way:
A non-dimensional velocity for a wall-bounded flow can be defined in the following way:
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:<math>u^+ \equiv \frac{\U}{\u_*}}</math>
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:<math>u^+ \equiv \frac{U}{u_*}</math>
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Where <math>U</math> is the local velocity and <math>\u_*</math> is the [[Friction velocity|friction velocity]] at the closest wall.
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Where <math>U</math> is the local velocity and <math>u_*</math> is the [[Friction velocity|friction velocity]] at the closest wall.
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<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]]
[[Category:Dimensionless parameters]]

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.

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