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.

Formulas that use Rouse number

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

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