A 0.91 m diameter corrugated metal pipe culvert (n = 0.024) has a length of 90 m and a slope of 0.0067. The entrance has a squar
e edge in a headwall. At the design discharge of 1.2 m3 /s, the tailwater is 0.45 m above the outlet invert. Determine the head on the culvert at the design discharge. Repeat the calculation for head if the culvert is concrete.
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Answer:
The resulting pressure is 300 kilopascals.
Explanation:
Let consider that gas within the closed vessel behaves ideally. By the equation of state for ideal gases, we construct the following relationship for the isothermal relationship:
(1)
Where:
,
- Initial and final pressure, measured in kilopascals.
,
- Initial and final volume, measured in litres.
If we know that and
, then the resulting pressure is:
The resulting pressure is 300 kilopascals.