Vertical Distribution of Suspended Sediment under Steady Flow: Existing Theories and Fractional Derivative Model

Table 1

Comparison of different vertical distribution formulas for sediment suspension.

Name	Theory	Parameters	Reference concentration; (h)	Water surface concentration; ()
Rouse [19]	Diffusion theory	, , ,
M1 [20]	Velocity distribution formula	, ,
fADE [21]	Superdiffusion of turbulent bursting	, , ,	1
M2 [22]	Coupling effect of flow and sediment	, ,
Power law [23]	Logarithmic velocity distribution law	, , , n	1	0
Wang [14]	Kinetic theory in two-phase flow	, ,	1
Two-phase Flow [24]	Two-phase flow	, , ,		0