Vertical Diffusion Coefficient

The vertical diffusion coefficient is required for determining the suspended-load correction factor. The vertical sediment diffusion coefficient is assumed to be related to the turbulent eddy viscosity as

where

$//<![CDATA[ \begin{array}{l}ν_{tv }\end{array} //]]>$ = vertical turbulent eddy viscosity [L^2/T]

$//<![CDATA[ \begin{array}{l}σ_{sk}\end{array} //]]>$ = Schmidt number [-]

The vertical turbulent eddy viscosity is computed as

where

$//<![CDATA[ \begin{array}{l}c_{Mv }\end{array} //]]>$ = empirical coefficient [-]

$//<![CDATA[ \begin{array}{l}u_{*}\end{array} //]]>$ = bed shear velocity [L/T]

$//<![CDATA[ \begin{array}{l}h\end{array} //]]>$ = water depth [L]