GATE CE 2017 Set 1 — Question 23
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Water Resources Engineering → Pipe Flow → Pipe Networks
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Question
A triangular pipe network is shown in the figure.
The head loss in each pipe is given by , with the variables expressed in a consistent set of units. The value of for the pipe is 1 and for the pipe is 2. If the discharge supplied at the point (i.e., 100) is equally divided between the pipes and , the value of (up to two decimal places) for the pipe should be ___________
Correct answer
0.6 to 0.63
Solution
Given:
at node A.
(equally divided).Applying continuity at node B:
(flow is from C to B).Applying continuity at node C:
. (Consistent).For a closed loop ABC, the sum of head losses must be zero (). Taking clockwise as positive:
Rounding to two decimal places, .
at node A.
(equally divided).Applying continuity at node B:
(flow is from C to B).Applying continuity at node C:
. (Consistent).For a closed loop ABC, the sum of head losses must be zero (). Taking clockwise as positive:
Rounding to two decimal places, .
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