Fluid Dynamics Problem: Effects of a Full Reservoir

In summary, the conversation discusses a system where a mountain spring's output is diverted to a reservoir through an airtight system. The system includes a two inch pipe, a 40-gallon drum, and three outlets on the drum. The output of the spring is variable and the question is raised about whether a vacuum forms in the barrel once the upper overflow pipe fills, preventing free flow to the reservoir and causing the lower overflow pipe to run less full. A sketch is requested but not provided due to a lack of drawing skills.
  • #1
jmrathbun
2
0
If this isn't the right forum, please move me to a better one.

Assume that the output of a mountain spring is diverted to a reservoir about 200 feet below the spring through the following airtight system:

A two inch pipe leads from the spring to a 40-gallon drum that lies on its side a few feet below the spring; this pipe enters the drum near the top of one end. The drum has three outlets on its other end:
  • At the bottom, a two inch cleanout channel has a short run and is normally closed with a valve
  • In the middle, a 3/4 inch pipe goes down to the top of the reservoir, where there is a short overflow channel of 3/4 inch pipe
  • At the top, a 3/4 inch overflow pipe terminates a few feet below the barrel

The output of the spring is variable. I'm interested in the situation where the reservoir is full and there is more water coming into the barrel than the lower overflow pipe can accommodate. Once the upper overflow pipe fills, does a vacuum form in the barrel that prevents free flow to the reservoir so that the lower overflow pipe would run less full than the upper one?
 
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  • #2
jmrathbun said:
If this isn't the right forum, please move me to a better one.

Assume that the output of a mountain spring is diverted to a reservoir about 200 feet below the spring through the following airtight system:

A two inch pipe leads from the spring to a 40-gallon drum that lies on its side a few feet below the spring; this pipe enters the drum near the top of one end. The drum has three outlets on its other end:
  • At the bottom, a two inch cleanout channel has a short run and is normally closed with a valve
  • In the middle, a 3/4 inch pipe goes down to the top of the reservoir, where there is a short overflow channel of 3/4 inch pipe
  • At the top, a 3/4 inch overflow pipe terminates a few feet below the barrel

The output of the spring is variable. I'm interested in the situation where the reservoir is full and there is more water coming into the barrel than the lower overflow pipe can accommodate. Once the upper overflow pipe fills, does a vacuum form in the barrel that prevents free flow to the reservoir so that the lower overflow pipe would run less full than the upper one?

Can you provide a sketch?

CS
 
  • #3
Sorry I don't have much in the way of drawing skills but here's my attempt :blushing:
 

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  • Spring Feed.jpg
    Spring Feed.jpg
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1. What is fluid dynamics?

Fluid dynamics is the study of the behavior of fluids, including liquids and gases, when they are in motion. It involves analyzing the forces and motions that affect fluids, such as pressure, velocity, and viscosity.

2. How does a full reservoir affect fluid dynamics?

A full reservoir can have a significant impact on fluid dynamics. The weight of the water in the reservoir can affect the pressure and flow of the fluid, and the shape and size of the reservoir can influence the behavior of the fluid as it moves.

3. What are some common problems associated with a full reservoir?

Some common problems that can arise from a full reservoir include increased pressure and stress on the reservoir walls, changes in fluid flow patterns, and potential for overflow or spillage. These problems can also lead to structural damage or failure of the reservoir.

4. How can a full reservoir be managed to minimize its effects on fluid dynamics?

To minimize the effects of a full reservoir on fluid dynamics, it is important to properly design and maintain the reservoir. This includes considering the size and shape of the reservoir, as well as implementing systems for managing and controlling the flow of the fluid. Regular maintenance and monitoring can also help to prevent potential problems.

5. What are some real-world applications of fluid dynamics in relation to full reservoirs?

Fluid dynamics and full reservoirs are relevant in a variety of industries, such as hydroelectric power generation, water management and distribution, and oil and gas production. Understanding the behavior of fluids in a full reservoir can help to optimize these processes and prevent potential hazards or failures.

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