ERDC/CHL CHETN-IV-32
June 2001
Configuration 3: Water Elevation on the Front Side of the Internal Barrier Greater
than Water Elevation on the Back Side; Water Elevation on the Front Side Greater
than the Crown Height of the Cross-Barrier Pipe; and Water Elevation on the Back
Side Below Crown Height of the Pipe
Water elevation on the front side of the internal barrier is greater than water elevation on the
back side, water elevation on the front side is greater than the crown height of the cross-barrier
pipe and water elevation on the back side is below the crown height of the pipe (Figure 3). Thus
ζL >ζR
(5)
ζ L ≥ h p and
ζ R < hp
(6)
Figure 3. Water elevation on the front side of the internal barrier greater than water elevation
on the back side; water elevation on the front side greater than the crown height of the
cross-barrier pipe; and water elevation on the back side below crown height of the pipe
Cross-barrier flow through the pipe is from the front face to the back face. Flow can be
computed by applying the Bernoulli equation to the pipe section crossing the internal barrier.
This situation results in a free discharging flow through the pipe from front to back computed as
(Daugherty et al. 1985):
2 g (ζ L - h p )
πD 2
Qn =
(7)
fL
4
1+
D
where
D = cross-barrier pipe diameter
g = gravity
4
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