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Question

In a reach of open channel flow, with q=2 m2/s, the depth of flow at section A is 1.5m and at section B, 1.6 m. The difference in specific energies at the two-section can be correspondingly taken as 0.09 m. The bed slope is 1 in 2000. The mean energy slope between the sections is given as 0.003. What is the length of reach AB?

A
54 m with B on the upstream
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B
36 m with A on the upstream
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C
36 m with B on the upstream
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D
54 m with A on the upstream
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Solution

The correct option is C 36 m with B on the upstream
Critical depth,

yc=(q2g)1/3=(229.81)1/3=0.74 m

As yA=1.5m and yB=1.6m are more than yc so the flow is subcritical.

EA<EB

Length of reach AB assuming B on the upstream will be

LAB=EBEAS0S1=0.09120000.003=36m

Since LAB is negative so B is on the upstream.

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