Ackers & White Transport Formulation
The dimensionless total-load transport rate Ggr is calculated as
(5.1)
in which C, m and A are model parameters that depend on the dimensionless particle size, Dgr, defined as
(5.2)
where d is the grain size, g is gravitational acceleration, s is the relative density of the bed sediment and n is the kinematic viscosity of water.
Fgr is a general sediment mobility number defined as
(5.3)
where Uf is the total shear velocity, h is the water depth, V is the depth-averaged current velocity. n is a constant that also depends on Dgr and ranges from 0 for coarse material to 1 for fine material.
The transport parameter Ggr is defined as
(5.4)
where X is the sediment mass flux per unit mass flow rate.