Question
Download Solution PDFA trapezoidal channel with a base of 6 m and side slopes of 2 horizontal to 1 vertical conveys water at 27 m3/s with a depth of 1.5 m. Find the velocity of the flow.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
For a trapezoidal channel, the area of flow is given by:
\( A = (b + zd) \cdot d \)
And the velocity of flow:
\( V = \frac{Q}{A} \)
Given:
- Base width
- Side slope
- Depth
- Discharge
Substituting values:
\( A = (6 + \cdot 2 \cdot 1.5) \cdot 1.5 = 9 \cdot 1.5 = 13.5 \, \text{m}^2 \)
\( V = \frac{27}{13.5} = 2 \, \text{m/s} \)
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