Question
Download Solution PDFWhat is the rate of flow in a rectangular channel 4 m wide and 2 m deep with a bed slope of 1 in 900 when it is running full if Chezy’s constant is 50?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The Chezy equation can be used to calculate the discharge in the open channel.
\(\rm Q= A × C\sqrt {mi} \)
A - Area of the channel
C - Chezy's coefficient
m - Hydraulic radius (or) Hydraulic mean depth = A/P
P- Perimeter of the channel
i - Bed slope
Calculation:
Given:
b = 4 m, d = 2 m,C = 50
\({\rm{i}} = \frac{{\rm{1}}}{{\rm{900}}} = 0.0011\)
A = 4 × 2 = 8 m2
\({\rm{m}} = \frac{{\rm{A}}}{{\rm{P}}} = \frac{{4\; \times\;2}}{{4 \;+ \;2\; + \;2}} = 1\)
\({\rm{Q}} = \rm A \times {\rm{C}}\sqrt {{\rm{mi}}} = 8 \times50 \sqrt {1\times 0.0011} \)
∴ Q = 13.3 m3/s
Last updated on Jul 1, 2025
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