The figure shows a siphon which is used to draw water from a large open tank. If the absolute vapor-pressure of the water is p, = 1.23 kPa, (a) determine the shortest drop length L of the 0.5 m 0.2 m 50-mm-diameter tube that will cause cavitation in the L = tube. Show all your calculations. (b) Also draw the energy and hydraulic grade lines for the length of the tube. Be sure to indicate the pressure heads, elevation heads, and dynamic heads. And to show all your calculations. -Datum

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The figure shows a siphon that is used to draw water
from a large open tank. If the absolute vapor-pressure
of the water is pv = 1.23 kPa.

(a) determine the shortest drop length L of the
50-mm-diameter tube that will cause cavitation in the
tube. Show all your calculations.

(b) Also draw the energy and hydraulic grade lines for
the length of the tube. Be sure to indicate the pressure
heads, elevation heads, and dynamic heads. And to
show all your calculations.

The image illustrates a siphon used to draw water from a large open tank. The text outlines a problem based on the siphon system:

### Problem Statement:
- **Absolute Vapor Pressure of Water**: \( p_v = 1.23 \, \text{kPa} \)
- **Tasks**:
  - **(a)** Determine the shortest drop length \( L \) of the 50-mm-diameter tube that will cause cavitation in the tube. All calculations must be shown.
  - **(b)** Draw the energy and hydraulic grade lines for the length of the tube. Indicate the pressure heads, elevation heads, and dynamic heads, ensuring all calculations are displayed.

### Diagram Explanation:
- **Setup**: 
  - The siphon consists of a tube drawing water over an obstacle that is 0.5 meters above the tank surface.
  - The vertical drop below the surface of the water in the tank is shown as \( L \).
  - Key points:
    - Point A: Initial water level in the tank, 0.2 meters above the siphon entry point.
    - Point B: Top of the siphon, 0.5 meters above Point A.
    - Point C: End of the drop, at datum.
  
The diagram helps visualize the flow path and various heights involved in calculating the siphon's pressure distribution and potential cavitation point.
Transcribed Image Text:The image illustrates a siphon used to draw water from a large open tank. The text outlines a problem based on the siphon system: ### Problem Statement: - **Absolute Vapor Pressure of Water**: \( p_v = 1.23 \, \text{kPa} \) - **Tasks**: - **(a)** Determine the shortest drop length \( L \) of the 50-mm-diameter tube that will cause cavitation in the tube. All calculations must be shown. - **(b)** Draw the energy and hydraulic grade lines for the length of the tube. Indicate the pressure heads, elevation heads, and dynamic heads, ensuring all calculations are displayed. ### Diagram Explanation: - **Setup**: - The siphon consists of a tube drawing water over an obstacle that is 0.5 meters above the tank surface. - The vertical drop below the surface of the water in the tank is shown as \( L \). - Key points: - Point A: Initial water level in the tank, 0.2 meters above the siphon entry point. - Point B: Top of the siphon, 0.5 meters above Point A. - Point C: End of the drop, at datum. The diagram helps visualize the flow path and various heights involved in calculating the siphon's pressure distribution and potential cavitation point.
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