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