Rouse number 

The Rouse number is a non-dimensional number in fluid dynamics which determines how sediment will be transported in a flowing fluid. It is a ratio between the sediment fall velocity ws and the upwards velocity on the grain as a product of the von Kármán constant κ and the shear velocity u * .

\textbf{Rouse}=\frac{w_s}{\kappa u_*}

References

Whipple, K. X (2004), 12.163 Course Notes, MIT Open Courseware. http://ocw.mit.edu/NR/rdonlyres/Earth--Atmospheric--and-Planetary-Sciences/12-163Fall-2004/9D91F442-7769-4CAE-853E-213FCBD04081/0/3_flow_around_bends.pdf

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Dimensionless numbers in fluid dynamics
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