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Friction velocity

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Dimensional analysis shows that at a wall a charateristic velocity, called the ''friction velocity'', <math>u_*</math> can be defined in the following way:
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Dimensional analysis shows that at a wall a charateristic velocity, called the ''friction velocity'', <math>u_*</math>, can be defined in the following way:
:<math>u_* \equiv \sqrt{\frac{\tau_w}{\rho}}</math>
:<math>u_* \equiv \sqrt{\frac{\tau_w}{\rho}}</math>
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Where <math>\tau_w</math> is the wall shear stress and <math>\rho</math> is the fluid density at the wall.
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Where <math>\tau_w</math> is the [[Wall shear stress|wall shear stress]] and <math>\rho</math> is the fluid density at the wall.

Latest revision as of 18:04, 19 December 2008

Dimensional analysis shows that at a wall a charateristic velocity, called the friction velocity, u_*, can be defined in the following way:

u_* \equiv \sqrt{\frac{\tau_w}{\rho}}

Where \tau_w is the wall shear stress and \rho is the fluid density at the wall.

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