GATE CE 2019 Set 1 — Question 32
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Water Resources Engineering → Flow Measurement → Applications of Bernoulli
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Question
A circular duct carrying water gradually contracts from a diameter of to . The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.
When the water flows, the differential manometer shows a deflection of of mercury (Hg). The values of specific gravity of mercury and water are and , respectively. Consider the acceleration due to gravity, . Assuming frictionless flow, the flow rate (in , round off to 3 decimal places) through the duct is ___________
Correct answer
0.078 to 0.085
Solution
Given:
Manometer deflection,
Specific gravity of mercury,
Specific gravity of water, The pressure head difference is given by:
For frictionless flow, the flow rate is:
Manometer deflection,
Specific gravity of mercury,
Specific gravity of water, The pressure head difference is given by:
For frictionless flow, the flow rate is:
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