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'''Shear velocity''', also called '''friction velocity''', is a form by which a [[shear stress]] may be re-written in units of [[velocity]]. It is useful as a method in [[fluid mechanics]] to compare true velocities, such as the [[velocity]] of a flow in a stream, to a velocity that relates shear between layers of flow.
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Shear velocity is used to describe shear-related motion in moving fluids. It is used to describe:
* [[Diffusion]] and [[Dispersion (water waves)|dispersion]] of particles, tracers, and contaminants in fluid flows
* The velocity profile near the boundary of a flow (see [[Law of the wall]])
* Transport of sediment in a channel
 
Shear velocity also helps in thinking about the rate of shear and dispersion in a flow. Shear velocity scales well to rates of dispersion and bedload sediment transport. A general rule is that the shear velocity is about 1/10 of the mean flow velocity.
 
<math>u_{\star}=\sqrt{\frac{\tau}{\rho}}</math>
 
Where <math>\tau</math> is the shear stress in an arbitrary layer of fluid and <math>\rho</math> is the [[density]] of the fluid.
 
Typically, for sediment transport applications, the shear velocity is evaluated at the lower boundary of an open channel:
 
<math>u_{\star}=\sqrt{\frac{\tau_b}{\rho}}</math>
 
Where <math>\tau_b</math> is the shear stress given at the boundary.
 
Shear velocity can also be defined in terms of the local velocity and shear stress fields (as opposed to whole-channel values, as given above).
 
==References==
Whipple, K. X (2004), III: Flow Around Bends: Meander Evolution, 12.163 Course Notes, MIT. http://ocw.mit.edu/courses/earth-atmospheric-and-planetary-sciences/12-163-surface-processes-and-landscape-evolution-fall-2004/lecture-notes/3_flow_around_bends.pdf
 
{{DEFAULTSORT:Shear Velocity}}
[[Category:Fluid mechanics]]
[[Category:Geology]]
[[Category:Geomorphology]]
[[Category:Sedimentology]]
 
 
{{fluiddynamics-stub}}
{{geophysics-stub}}

Revision as of 23:51, 8 February 2014

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