Fluid - Determining pump power for pipe flow system

[Nismo7]

Fluid - Determining pump power for pipeline with constant head

gentlemen, i need some help to solve for part b as attached. The friction factor for pipe 1 & 2are 0.003106 and 0.003438 respectively and the Z value calculated is 9.997m of water. With a 20% increase in flow rate for the piping system, what is the approach i should take to solve this question?

Thank you

 

[greydient]

Use the steady flow energy equation. The complete equation should include losses due to pumps, minor losses, and head losses.For all similar problems, write out the equation, and begin to rule out variables.

Hint: It seems that both point A and B are both exposed to ambient air...this allows you to neglect some things.

Solve for h(p). Then plug this into the pumping power equation, and solve for P.

If you still need help, or need the specific equations after trying it out yourself, let me know.

 

[piercas]

for your question. In order to determine the pump power for the pipeline with constant head, we will need to use the following formula:

Pump Power = (Flow Rate x Head) / (Efficiency x Density x Gravity)

Where:

- Flow Rate is the volume of fluid passing through the pipeline per unit time
- Head is the pressure difference between the inlet and outlet of the pipeline
- Efficiency is the efficiency of the pump
- Density is the density of the fluid
- Gravity is the acceleration due to gravity

In this case, we can calculate the pump power for the original flow rate using the given friction factors and Z value. However, since the flow rate has increased by 20%, we will need to recalculate the pump power using the new flow rate.

To do this, we can use the following steps:

1. Calculate the new flow rate by multiplying the original flow rate by 1.2 (20% increase).
2. Use the new flow rate to calculate the new head using the given friction factors and Z value.
3. Use the new flow rate, new head, and the same efficiency, density, and gravity to calculate the new pump power.

I hope this helps. Let me know if you have any further questions. Good luck with your calculations!