The shear velocity is the velocity scale associated with a shear stress in a fluid of mass density . It is a stress scale, not automatically the actual local fluid velocity at a grain.
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Shear velocity, often denoted as \( u_* \) (u-star), is a measure of the frictional velocity in a fluid, typically used in contexts related to turbulence, boundary layer flows, and sediment transport. It describes the velocity scale associated with the shear stress near a boundary (like the surface of the Earth or a water body) that influences the motion of particles and the behavior of the flow.