is filled with a liquid which is lighter than water and immiscible with water. It is known that the relative densities of the liquid in tube A and B are d1= d3 = 1, and the relative density of the liquid

Elements Of Electromagnetics
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Figure 2.23 shows a U-tube manometer used to measure the small pressure
difference of the two water pipes. The top of the tube is filled with a liquid
which is lighter than water and immiscible with water.

It is known that the relative densities of the liquid in tube A and B are
d1= d3 = 1, and the relative density of the liquid in the U-tube
manometer is d2 = 0:95. If h1 = h2 = 0.3 m and h3 = 1 m, try to determine the pressure difference pB - pA.

 

**Figure 2.23 - Problem 2.10**

This diagram represents a fluid flow scenario involving two reservoirs labeled as points A and B. 

- **Reservoir A** and **Reservoir B** are depicted as circular shapes at different elevations.
- A pipeline connects the two reservoirs, consisting of vertical and horizontal segments.

**Key Symbols:**

- \( d_1, d_2, \) and \( d_3 \) denote the diameters of the pipes at various sections.
- \( h_1 \) is the vertical height from the surface of fluid in Reservoir A to the top of the pipe.
- \( h_2 \) is the vertical height from the top of the bend in the pipe to the surface of the fluid in the next vertical section.
- \( h_3 \) is the vertical height from the surface of fluid in Reservoir B to the top of the pipe.
- \( z \) represents the vertical difference in position between the two reservoirs.

This diagram is commonly used in fluid mechanics to analyze the pressure and velocity of fluid flowing from one reservoir to another through a pipeline with varying diameters and elevations.
Transcribed Image Text:**Figure 2.23 - Problem 2.10** This diagram represents a fluid flow scenario involving two reservoirs labeled as points A and B. - **Reservoir A** and **Reservoir B** are depicted as circular shapes at different elevations. - A pipeline connects the two reservoirs, consisting of vertical and horizontal segments. **Key Symbols:** - \( d_1, d_2, \) and \( d_3 \) denote the diameters of the pipes at various sections. - \( h_1 \) is the vertical height from the surface of fluid in Reservoir A to the top of the pipe. - \( h_2 \) is the vertical height from the top of the bend in the pipe to the surface of the fluid in the next vertical section. - \( h_3 \) is the vertical height from the surface of fluid in Reservoir B to the top of the pipe. - \( z \) represents the vertical difference in position between the two reservoirs. This diagram is commonly used in fluid mechanics to analyze the pressure and velocity of fluid flowing from one reservoir to another through a pipeline with varying diameters and elevations.
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