Finding flow rate with limited knowns

AI Thread Summary
The discussion revolves around calculating the flow rate of a diaphragm pump using known parameters such as pressure, pipe dimensions, and fluid viscosity. The user is attempting to apply Poiseuille's Law to derive the flow rate, given a pressure change of 125 psi, a pipe radius of 0.5 inches, and a viscosity of 1.4 poise. The calculated flow rate is approximately 16 gallons per minute, which the user finds unexpectedly high. Concerns are raised about the accuracy of the formula and the importance of consulting pump curves provided by manufacturers for different viscosities. The conversation emphasizes the complexity of flow rate calculations in relation to varying media viscosity and pump characteristics.
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Hello all,

My basic problem is I'm trying to figure out what flow rate a diaphragm pump can provide through a length of pipe. I know the pump's max pressure and all the details of the pipe and the fluid (80w-90 gear oil), but can I solve this without knowing the velocity? Is there a way to solve the velocity through these (or other easily obtained) knowns?

Thanks,
IC
 
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yes, what is the rpm and cubic inches/rev of the pump?
 
It's a pneumatically powered diaphragm pump, not a gear pump. The cycle rate is not constant as it depends on the media being pumped. The more viscous the media, the slower the cycle time.

Is there not a way to calculate flow rate without velocity?
 
Alright, I've think I'm on the right track with Poiseuille's Law. Q=[(p1-p2)(radius^4)]/[(8/pi)(viscosity)(length)]

Change in pressure is 125psi
radius is 0.5 inches
viscosity is 1.4 poise (80w90 at 40 degrees C)
length is 200 ft.

I'm getting in the area of 16gpm. I expected much less. Can anyone double-check this??
 
That's about 1hp, sounds about right, not sure of the formula, plenty of pipe flow calculators out there but most of the time manufacturers have a pump curve for different viscosity's.
 
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