ERDC/CHL CHETN-IV-32
June 2001
This calculation results in a free discharging flow through the pipe from back to front computed
as:
2 g (ζ R - h p )
πD 2
Qn =
(13)
fL
4
1+
D
It is assumed that if the front face opening of the pipe is partially submerged, the discharge can
be approximated as a free discharge.
Configuration 6: Water Elevation on the Back Side of the Internal Barrier Greater
than Water Elevation on the Front Side; Water Elevation on the Back Side Greater
than the Crown Height of the Cross-Barrier Pipe; and Water Elevation on the
Front Side Above the Crown Height of the Pipe
Water elevation on the back side of the internal barrier is greater than water elevation on the
front side; water elevation on the back side is greater than the crown height of the cross-barrier
pipe; and water elevation on the front side is above the crown height of the pipe (Figure 6). Thus
ζR >ζL
(14)
ζ R ≥ hp and ζ L ≥ h p
(15)
Figure 6. Water elevation on the back side of the internal barrier greater than water elevation
on the front side; water elevation on the back side greater than the crown height of the
cross-barrier pipe; and water elevation on the front side above crown height of the pipe
Cross-barrier flow through the pipe is from the back face to the front face. Flow can be
computed by applying the Bernoulli equation to the pipe section crossing the internal barrier.
This calculation results in a submerged discharging flow through the pipe from back to front
computed as:
7
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