GATE CE 2019 Set 1 — Question 60
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Water Resources Engineering → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
Two water reservoirs are connected by a siphon (running full) of total length 5000 and diameter of 0.10 , as shown below (figure not drawn to scale).
The inlet leg length of the siphon to its summit is 2000 . The difference in the water surface levels of the two reservoirs is 5 . Assume the permissible minimum absolute pressure at the summit of siphon to be 2.5 of water when running full. Given: friction factor throughout, atmospheric pressure = 10.3 of water, and acceleration due to gravity . Considering only major loss using Darcy-Weisbach equation, the maximum height of the summit of siphon from the water level of upper reservoir, (in , round off to 1 decimal place) is ________
Correct answer
5.7 to 5.9
Solution
1.Find flow velocity (v):
Total head loss .
2.Apply Bernoulli's equation between upper reservoir (1) and summit (S):
Taking as datum, . and .
m.
Rounding to 1 decimal place, m.
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