Engelund-Hansen (1967)

Engelund-Hansen formula

Transport capacity is calculated as follows :

$$C_{eq}=0.05\rho_S\frac{LU^2}{Q}\frac{(JR)^{\frac{3}{2}}}{\sqrt{g} (\rho_S/\rho-1)^2d}$$

where :

• $\rho_S$ is the sediment’s density (kg/m3)
• $L$ is the stream’s width (m)
• $U$ is the mean velocity (m/s)
• $Q$ is the water discharge (m3/s)
• $J$ is the slope (m/m)
• $R$ is the hydraulic radius (m)
• $g$ is the gravity (m/s2)
• $\rho$ is the density of water (kg/m3)
• $d$ is the sediment diameter

Specifications

• Law’s ID : 561
• Number of acting classes : 4
• Number of parameters : 6

Acting classes :

1. $C_i$ : transported class modified by the law
2. $C_j$ : fix class modified by the law
3. $C_k$ : transported parameter class ($i=k$ for standard use)
4. $T$ : water temperature

Parameters :

1. $d$ : sediment diameter
2. $\rho_S$ : sediment density
3. $p$ : sediment porosity
4. $\alpha$
5. $i_{ech}$ : exchange formula : 1 = Han, 2 = Hazen
6. $\beta$