Measurement of pressure difference between two points is generally done by using :
Try it first: pick an option, then read the explanation.
Asked in SSC JE 2014, EVENING
Detailed Explanation
Measuring the pressure drop between two sections in a fluid system is fundamental for evaluating friction losses and determining flow rates across constriction meters.
1. Instrument functions:
- Venturimeter: A variable-area flow meter used to determine the rate of discharge (\(Q\)) through a closed pipe, using the pressure difference created across its throat.
- Pitot tube: An open-ended tube used to measure local flow velocity at a specific point in a stream.
- Differential manometer: A U-tube instrument whose limbs connect to two distinct points to directly measure the pressure difference (\(p_A - p_B\)).
2. Hydrostatic equation for differential U-tube:
\[ p_A - p_B = g \cdot x \cdot (\rho_m - \rho) \]
Where \(x\) is the difference in levels of the manometric fluid.
Why “Differential manometer” Is Correct
The differential manometer connects across two points in a piping system to measure the pressure difference directly from the displacement of its manometric liquid.
Why the Other Options Are Wrong
- A. Venturimeter: A Venturimeter measures discharge (flow rate), utilizing a differential manometer to read its throat differential.
- B. Pitot tube: A Pitot tube measures local fluid velocity at a point, not the pressure difference between two separate points.
- D. None of the above: Option (c) is correct; 'None of the above' is incorrect.
Key Point
Differential manometer is used to measure the pressure difference between two points.
Key Concepts for Students
- Types include U-tube differential manometers, inverted U-tubes, and micromanometers.
- Inverted U-tubes are chosen when the pressure difference is very small and the flowing fluid is a liquid.
- Two piezometers can also measure pressure difference if the pressure is moderate and positive.
Practice more: this is question 27 in Measurement of Pressure MCQs – Part 2. Try the whole set and check every answer instantly.