GATE ME 2015 Set 3 — Question 46
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Fluid Mechanics → Fluid Kinematics & Dynamics → Applications of Bernoulli
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Question
A Prandtl tube (Pitot-static tube with ) is used to measure the velocity of water. The differential manometer reading is of liquid column with a relative density of . Assuming , the velocity of water (in m/s) is ________
Correct answer
1.3 to 1.34
Solution
The velocity of water using a Prandtl tube is given by the formula:
where is the pressure head difference in terms of the flowing fluid (water).The head difference is calculated from the manometer reading as:
Given:
Calculating velocity :
The answer lies within the range 1.30 to 1.34.
where is the pressure head difference in terms of the flowing fluid (water).The head difference is calculated from the manometer reading as:
Given:
- Manometer reading
- Relative density of manometer liquid
Calculating velocity :
The answer lies within the range 1.30 to 1.34.
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