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 : -# \(C_i\) : transported class modified by the law -# \(C_j\) : fix class modified by the law -# \(C_k\) : transported parameter class (\(i=k\) for standard use) -# \(T\) : water temperature

Parameters : -# \(d\) : sediment diameter -# \(\rho_S\) : sediment density -# \(p\) : sediment porosity -# \(\alpha\) -# \(i_{ech}\) : exchange formula : 1 = Han, 2 = Hazen -# \(\beta\)