Rouse Number
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 |
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\(\large{ P = \frac{ w_s }{ \beta \; k \; u* } }\) | ||
Symbol | English | Metric |
\(\large{ P }\) = Rouse number | \(\large{dimensionless}\) | |
\(\large{ w_s }\) = sediment fall velocity | \(\large{\frac{ft}{sec}}\) | \(\large{\frac{m}{s}}\) |
\(\large{ \beta }\) (Greek symbol beta) = constant that correlates eddy viscosity to eddy diffusivity (1) | \(\large{dimensionless}\) | |
\(\large{ k }\) = von Karman constant (0.40) | \(\large{dimensionless}\) | |
\(\large{ u* }\) = shear velocity | \(\large{\frac{sec}{ft^{\frac{1}{3}}}}\) | \(\large{\frac{s}{m^{\frac{1}{3}}}}\) |