Water Flow, Mass Flow through 5 Gallon Jug


by bhaarat316
Tags: flow, gallon, mass, water
bhaarat316
bhaarat316 is offline
#1
Apr6-12, 05:34 PM
P: 3
Here is the run down first, I'm trying to find a min mass flow rate for my project which needs to be 1 GPM, and max 4 GPM. Now water is going out of a 5 gallon jug, that has the top cut off, and the water is flowing into a PVC pipe. The area is already set at 1.5 inches, which I know is to big. I need to find the velocity of water at atm pressure, and then the diameter of the circle which the water will funnel through. I did some work I just need help making sure I did it right, basically a check over. think of it as a Deer Park 5 gallon bottle, like the ones for water dispenser, but the top cut off, and it flowing out the nozzle.

Man how do I use the Latex thing?

So, I know V=[itex]\sqrt{2*19.5 inches * 387.6 inches/s^{2}}[/itex]
V=122.95 inches/sec, 10.245 ft/s = 614.7 ft/min

Now the simple equation of Q=VA

1 GPM->.13[itex]ft^{3}[/itex]/min = 614.7ft/min * A
.03024 in^2 = A(min)
sqrt(.03024/∏)= r(min) = .09811 inches

We would have to reduce our inner diameter to .19622 inches.
Now is this right? I can't believe that? I was initial thinking it would be a DE since our mass flow would be varying, depending the height of the water, gravity would be pushing it through the main system.
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mfb
mfb is offline
#2
Apr7-12, 07:41 AM
Mentor
P: 10,864
A sketch would help to understand your calculations.
In addition, SI units would make unit conversions much easier.

I was initial thinking it would be a DE since our mass flow would be varying, depending the height of the water, gravity would be pushing it through the main system.
Based on your description of your system, I think this is true. Probably your 19.5 inches would vary.
bhaarat316
bhaarat316 is offline
#3
Apr7-12, 08:49 PM
P: 3
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gravity will force the water through the tank and I need to figure out what the diameter will be, to get 1 gpm.


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