Rouse Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Rouse number, abbreviated as P or Z, a dimensionless number, used in fluid dynamics showing how a concentration of suspended sediment will be transported in a flowing fluid.

Rouse number Formula

\(\large{ P = \frac{ w_s }{ \beta \; k \; u* }  }\)         

Where:

\(\large{ P }\) = Rouse number

\(\large{ w_s }\) = sediment fall velocity

\(\large{ \beta }\)  (Greek symbol beta) = constant that correlates eddy viscosity to eddy diffusivity  (1)

\(\large{ k }\) = von Karman constant  (0.40)

\(\large{ u* }\) = shear velocity

 

Tags: Equations for Flow Equations for Fluid