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2
ws
Θcr ,s = 0.16
for D * > 10
(s - 1) gd50
ws is the sediment settling speed (which can be estimated for a given
grain size from charts or by Stokes law) and the dimensionless particle pa-
rameter, D*, is defined by:
(s - 1) g
1/3
D*=
d50
2
v
The value for the kinematic viscosity, n, is approximately 1 10-6 m2/s.
For determining the stability of a specific site, Figure 25 can be used to
indicate potential for site erosion when a distribution of the vertically av-
eraged velocities, bed grain-size distribution, and water depth are known.
If the velocities are frequently above ucr, then there is a potential for
some site erosion. There is a strong likelihood for severe erosion if the ve-
locities frequently exceed ucr,s. It should be emphasized that if there is
any question concerning site stability, i.e., Figure 25 does not clearly indi-
cate that erosion will not occur, more detailed data collection and model-
ing efforts should be undertaken to determine erosion potential.
Figure 25.
Critical vertically averaged velocities for a plane bed (from van Rijn 1993)
87
Chapter 8 Long-Term Cap Stability
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