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# Sediment Transport Concepts

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Sediment Transport Concepts book

# Sediment Transport Concepts

DOI link for Sediment Transport Concepts

Sediment Transport Concepts book

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## ABSTRACT

From a mathematical point of view, the interrelation between specific water flow and sediment transport conditions for a one-dimensional phenomenon without changes in the shape of the cross section can be described by the following equations (Cunge, 1980): • Continuity equation for water movement:

∂A

∂t + ∂Q

∂x = 0 (5.1)

• Dynamic equation for water movement: ∂h

∂x + v

C2R + ∂z

∂x + v

g

∂v

∂x + 1

g

∂v

∂t = 0 (5.2)

• Friction factor predictor which can be given as a function of: C = f (d50, v, h, So) (5.3)

• Continuity equation for sediment transport: (1 − p)B∂z

∂t + ∂Qs

∂x = 0 (5.4)

• Sediment transport equation which can be given as a function of: Qs = f (d50, v, h, So) (5.5)

Where: Qs = sediment discharge (m3/s) B= bottom width (m)

d50 =mean diameter of sediment (m) p= porosity (dimensionless) z= bottom level above datum (m) v= average velocity (m/s) h= y=water depth (m) So = bottom slope (m/m) R= hydraulic radius (m)

74 to Sediment Transport

These five equations form a non-linear partial differential system, which cannot be solved analytically, but instead by a numerical method (Cunge, 1980). These implicit equations are not independent; they depend on each other. For instance, the water flow influences the roughness coefficient and, vice versa, the sediment transport depends strongly on the water flow.