# Pumping system formulas

1. Sep 25, 2006

### starripper

I am working on a project that requires the changing of the radius of a pipe then finding the pressure of this pipe. There are two chambers C1 and C2 the liquide with x density is pumped into C2 using a piston pump. The liqude in C2 drains back to C1 at a constant rate of a. The radius of the pipe from the pump to C2 is r. t is the amount of time that the level f is maintained. f is a constant.

Also please let me know what data would need to be found if this is not enough so that i can find a means to get this data as well.

The formulas are the main thing holding this project back I want to know the design works. If anyone can help me this is my first time working with fluid dynamics.

Thanks,
Starripper

2. Sep 26, 2006

### Q_Goest

Hi Star. I think you're trying to find pressure drop through a pipe connecting two chambers. The pipe is bent, perhaps in a horseshoe shape or something. And you have a flow rate, a. Is that right?

Pressure drop is calculated using the D'Arcy-Weisbach equation, which you can find information about here:
http://www.engineeringtoolbox.com/darcy-weisbach-equation-d_646.html
If you want to know how to calculate the equivalent length of pipe for some oddball bend, that's covered by the Crane Technical Paper #410 which you can purchase online here:
http://www.tp410.com/

3. Sep 27, 2006

### thearny

Bernoullis equation is the basic fluid flow equation is it not. You can do a lot with that.

4. Sep 27, 2006

### starripper

Thanks for the help. The thing I am trying to figure out is really the amount of pressure needed to send a liquide through a straight pipe. Also I will have a straigh pipe that connects the pumping chamber with another chamber the chamber drains at a constant rate the pump is a hand pump so I need to figure out what the pressure being released by the pump to maintian the level of the liquide in the chamber.
data i have:
l = liquide level
L = length of pipe
t = time maintained
h = number of times the person pumped

Thanks,
Star

5. Oct 4, 2006

### civil_dude

You definately need the liquids properties.

6. Jun 6, 2008

### hedenqvist

Check for Bernouill formula,

Regards,