Manometer with non linear height change.

In summary, the conversation discusses establishing a mathematical relationship between heights h1 and h2 for a manometer with a triangular RHS channel. The goal is to calculate h1 and h2 for a given change in pressure p1. The speaker is looking for assistance or guidance in finding a simpler method to calculate h1 or h2 in terms of Δh, as they are hoping to apply this to multiple manometers with different geometries.
  • #1
buildingblocs
17
1
I am trying to establish a mathematical relationship between heights h1 and h2 (please refer to figure attached) for a manometer whose RHS channel is the shape of a triangle (defined by a base length and the angle theta). I want to be able to calculate the heights h1 and h2 for a given change to the pressure p1. Any help or a point in the right direction would be much appreciated.

Regards,

ps. This is not an practice question, I am hoping to do this with multiple manometer with various geometries.
 

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  • #2
ZOE_0039[1].jpg


here is my attempt to get h1 or h2 interms of Δh. Anyone know a cleaner way in doing so?
 

1. What is a manometer with non linear height change?

A manometer with non linear height change is a device used to measure pressure by measuring the height of a fluid column. Unlike a traditional manometer where the height change is linearly related to the pressure, a non linear manometer has a curved or non-linear relationship between height and pressure.

2. How does a manometer with non linear height change work?

A manometer with non linear height change works by balancing the pressure of a fluid in a U-shaped tube with a known reference pressure. As the pressure increases, the fluid level in one side of the tube will rise and the fluid level in the other side will fall. The difference in height between the two fluid levels can then be used to calculate the pressure.

3. What are the advantages of using a manometer with non linear height change?

The main advantage of using a manometer with non linear height change is its ability to measure a wide range of pressures with high accuracy and sensitivity. It is also a simple and low-cost device, making it suitable for various applications in research and industry.

4. What are the limitations of a manometer with non linear height change?

One limitation of a manometer with non linear height change is its susceptibility to errors caused by changes in temperature and viscosity of the fluid being measured. It is also more difficult to read and interpret the results compared to a traditional linear manometer.

5. In what applications is a manometer with non linear height change commonly used?

A manometer with non linear height change is commonly used in fields such as fluid mechanics, chemical engineering, and meteorology. It is also used in the calibration of other pressure measuring devices and in laboratory experiments to measure small pressure differences.

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