ERDC/CHL CHETN-IV-34
June 2001
If zs = ha, the total transport through the water column is obtained:
U aCb ha
[1 - exp(-λ)]
qin (ha ) =
(4)
λ
W
Chart Datum
Suspended Particle
Trajectory
ha C(z)
Uc
Ua
∆z
h
Channel Design
qin
zs
Vf
Cross Section
Cb
Z=0
Figure 2. Definition sketch for terminology
The advective velocity across the channel Uc can be estimated from the continuity equation
given the velocity and ambient depth upstream of the channel and the average depth hc in the
channel:
ha
Uc =
Ua
(5)
hc
Therefore, if a suspended sediment particle of fall speed Vf is transported with advective velocity
Uc across a channel of width W, it will fall a vertical distance ∆z given by:
hc V f
W
∆z =
Vf =
W
(6)
Uc
ha U a
Particles suspended to level ∆z or greater at the updrift end of the channel will pass over the
channel, whereas particles with elevations less than ∆z will fall into the channel and be deposited
there.
The ratio p of the total suspended transport qin that is trapped by the channel can be estimated
from:
3