An example of a momentum and energy plot is shown in Figure 10.3.11 on the following
page. For a given discharge there are two possible depths; the first is
less than critical depth
(supercritical flow) and the other is
greater than critical depth
(subcritical flow), a sequent (or conjugate) depth. Both depths will have the same
momentum with different specific energy. If you have a supercritical flow in a culvert,
the possibility of hydraulic jump can occur with the proper configuration. There will
be a loss in energy, ΔE as a result of the hydraulic jump.
(Equation 10.3.11)
M
= momentum function
Q
= discharge (cfs)
g
= gravitational constant (32 ft./sec
)
A
= section area of flow (sq. ft.)
d
̄
= distance from water surface to centroid of flow area (ft.)
Figure 10.3.11
- Momentum Function and Specific Energy
(Source TxDOT, Hydraulic Design Manual, 2011)
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