Find the Flow Rate: Water Pipe Down a Hill

In summary, the problem involves a water pipe going down a hill with a difference of 23 m in elevation between the top and bottom. The diameter of the pipe is 2.7 cm at both ends and water is flowing through it. At the top of the hill, the velocity of the water is 2.41 m/s and its gauge pressure is 58.3 psi. The task is to find the flow rate of the water in L/s. Previous attempts at using the Bernoulli equation did not yield accurate results.
  • #1
Adman
2
0
check this, i can't figure it out. A water pipe goes doewn a hill. the level of the pipe at the bottom of the hill is 23 m below the level of the pipe at the top. the diameter of the pipe is 2.7 cm at both ends. water is flowing through the pipe. at the top of the hill, the velocity of the water is 2.41 m/s, and it's gauge pressure is 58.3 psi. find the flow rate of the water through the pipe in L/s. can anyone help?
 
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  • #2
Adman said:
check this, i can't figure it out. A water pipe goes doewn a hill. the level of the pipe at the bottom of the hill is 23 m below the level of the pipe at the top. the diameter of the pipe is 2.7 cm at both ends. water is flowing through the pipe. at the top of the hill, the velocity of the water is 2.41 m/s, and it's gauge pressure is 58.3 psi. find the flow rate of the water through the pipe in L/s. can anyone help?

http://www.ac.wwu.edu/~vawter/PhysicsNet/Topics/Pressure/BernoulliEquation.html

might help
 
Last edited by a moderator:
  • #3
i tried that already and it doesn't give me the proper results. there's got to be something else.
 

FAQ: Find the Flow Rate: Water Pipe Down a Hill

1. What is the purpose of finding the flow rate of water down a hill?

The purpose of finding the flow rate of water down a hill is to determine the amount of water that can flow through a pipe in a given amount of time. This information is important for various industries such as irrigation, hydroelectric power generation, and water supply management.

2. How is the flow rate of water down a hill calculated?

The flow rate of water down a hill can be calculated using the equation Q = AV, where Q is the flow rate in cubic meters per second, A is the cross-sectional area of the pipe in square meters, and V is the velocity of the water in meters per second.

3. What factors can affect the flow rate of water down a hill?

The flow rate of water down a hill can be affected by several factors including the slope of the hill, the diameter and length of the pipe, the roughness of the pipe's interior surface, and the viscosity of the water. Other factors such as temperature, pressure, and obstructions in the pipe can also have an impact on the flow rate.

4. Can the flow rate of water down a hill be increased?

Yes, the flow rate of water down a hill can be increased by increasing the pressure or the diameter of the pipe, reducing the roughness of the pipe's interior surface, or using a steeper slope. However, it is important to consider the limitations and potential consequences of increasing the flow rate, such as increased erosion and potential damage to the pipe.

5. How is the flow rate of water down a hill measured in real-life scenarios?

The flow rate of water down a hill can be measured using various techniques such as flow meters, pressure gauges, and visual observations. These measurements can be taken at different points along the pipe and then averaged to get a more accurate representation of the flow rate. Additionally, computer simulations and mathematical models can also be used to estimate the flow rate in real-life scenarios.

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