Pressure Drop Calculation Using U-Tube Manometer

In summary, when calculating pressure drop between two points in a pipe carrying water using a U-tube manometer, the formula is p1-p2 = gh(density(manometer fluid) - density(water)). In the case where the manometer fluid has a lower density than the water, the pressure drop can be measured using ρmanometergh, but it is not recommended as a higher density fluid is typically used for more accurate measurements.
  • #1
Physicist3
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0
I have been told to calculate the pressure drop between two points in a pipe carrying water using a U-tube manometer. I understand that the pressure drop (P1 - P2) is given by pgh and that h is the difference in manometer fluid levels and g is gravity, but is p the density of the manometer fluid or the water flowing through the pipe?
 
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  • #2
Exactly, p1-p2 = gh(density(manometer fluid) - density(water))
 
  • #3
pukb said:
Exactly, p1-p2 = gh(density(manometer fluid) - density(water))

In the case I am referring to, the manometer fluid has a lower density than the water. For a pipe, is the pressure drop measured using a utube manometer simply ρmanometergh?
 
  • #4
it is not a good idea to use a fluid of lower density in manometer than the density of fluid in the pipe. a higher density fluid is used to make measuring instruments smaller. for example, mercury will require a space 13.6 times smaller than water for same pressure rise or drop.
 

1. What is a U-Tube Manometer?

A U-Tube Manometer is a simple device used to measure the difference in pressure between two points in a fluid. It consists of a U-shaped glass tube partially filled with a liquid, such as water or mercury. The difference in height of the liquid in each side of the tube indicates the difference in pressure between the two points.

2. How is a U-Tube Manometer used to calculate pressure drop?

A U-Tube Manometer is used to calculate pressure drop by measuring the difference in fluid height between two points in a system. The pressure drop can be calculated using the equation ΔP = ρgh, where ΔP is the pressure drop, ρ is the density of the fluid, g is the gravitational constant, and h is the difference in fluid height.

3. What are the factors that affect pressure drop calculation using a U-Tube Manometer?

The factors that affect pressure drop calculation using a U-Tube Manometer include the density and viscosity of the fluid, the gravitational constant, and the accuracy of the measurement of fluid height. Other factors may include the temperature and pressure of the fluid, as well as any obstructions or bends in the system.

4. Can a U-Tube Manometer be used for all types of fluids?

No, a U-Tube Manometer is typically only used for fluids with low viscosity, such as water or mercury. It may not be suitable for highly viscous fluids, as the movement of the fluid in the tube may be difficult to measure accurately.

5. Are there any limitations to using a U-Tube Manometer for pressure drop calculation?

One limitation of using a U-Tube Manometer for pressure drop calculation is that it can only measure pressure differences between two points in a system. It cannot provide an absolute measurement of pressure. Additionally, the accuracy of the measurement may be affected by factors such as air bubbles in the fluid or human error in reading the fluid height.

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