Calculate Flow Rate: Inlet & Outlet Diameters & Pressures

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SUMMARY

The discussion centers on calculating the flow rate of water through a system involving a heat exchanger with specific inlet and outlet pressures. It is established that a restrictionless device does not influence flow rate; rather, flow is determined by the pressure differential and the characteristics of the piping system. The inlet pressure is 45 psi, and the outlet pressure is 35 psi, indicating a pressure drop of 10 psi. To accurately calculate the flow rate in gallons per minute (GPM), one must determine the flow coefficient (Cv) using the appropriate formula.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with pressure measurement in hydraulic systems
  • Knowledge of flow coefficient (Cv) calculations
  • Experience with heat exchanger performance metrics
NEXT STEPS
  • Research how to calculate flow coefficient (Cv) for valves and fittings
  • Learn about pressure drop calculations in piping systems
  • Investigate the performance curves of heat exchangers
  • Explore methods for measuring flow rate in closed systems
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Engineers, HVAC technicians, and anyone involved in fluid mechanics or system design who needs to calculate flow rates in hydraulic systems.

DHJenkins
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Is it possible to calculate the flow rate of water through a restrictionless device (a tank, for example) if you know the inlet & outlet diameters and pressures?

I've been looking all over, but all I can seem to find is formulas for pressure drop in a length of pipe...

Thanks!
 
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No, it is not. Such a device has no effect on flow rate, if it provides no restriction.
 
DHJenkins said:
Is it possible to calculate the flow rate of water through a restrictionless device (a tank, for example) if you know the inlet & outlet diameters and pressures?

I've been looking all over, but all I can seem to find is formulas for pressure drop in a length of pipe...

Thanks!
A pipe is not a "restrictionless device", there is a very real restriction to flow through a pipe, so the question needs a bit of help. Are you looking to find out how to determine pressure drop (ie: restriction to flow) through a pipe? Or are you asking about something else?
 
Thanks for the replies.

Russ - I'm not looking for the effect on flow rate, I'm looking the actual flow rate - a number, specifically in GPM and preferably within 5% +/-

Q_goest - Basically, I have a 3" pipe that enters the heat exchanging portion of a packaged A/C unit. The water flows in, flows through 4 different tube-style heat exchangers (in parallel), then out of a 3" pipe; I'd say total trip of about 22 linear feet from pressure gauge to pressure gauge.

This small loop is tapped off of a larger supply/return loop. There are 2 valves - an inlet & and outlet. The inlet remains wide open so as to not starve the coils for water, and flow rate is adjusted by opening/closing the outlet valve. The inlet pressure is 45psi, and the outlet pressure is 35 psi - what is the flow rate of water through this machine? Also, maximum pressure drop (with both handles wide open) is 20 psi - I imagine this has to do with the height; the machine is located approximately 50' below the pumps.

Thanks
 
DHJenkins said:
Russ - I'm not looking for the effect on flow rate, I'm looking the actual flow rate - a number, specifically in GPM and preferably within 5% +/-
You missed my point. My point was that if the device has no effect on the flow rate, then the flow rate is determined entirely by what is going on with the input and ouput piping: and you provided no information about them besides their size.

That said, I should have realized by your wording that your "restrictionless" device is not restrictionless:
This small loop is tapped off of a larger supply/return loop. There are 2 valves - an inlet & and outlet. The inlet remains wide open so as to not starve the coils for water, and flow rate is adjusted by opening/closing the outlet valve. The inlet pressure is 45psi, and the outlet pressure is 35 psi...
If there is a pressure drop, then that means there is a restriction. The restriction causes the pressure drop. Unfortunately, you need to know the flow coefficient (Cv) to find the flow at a given pressure drop. That's based on this formula (in step 3): http://www.cheresources.com/valvezz.shtml
...what is the flow rate of water through this machine? Also, maximum pressure drop (with both handles wide open) is 20 psi.

- I imagine this has to do with the height; the machine is located approximately 50' below the pumps.
If it is a closed system, the height doesn't matter. Do you have pressure gages anywhere else? At the pumps? At the mains before the valves? It sounds like the pressure gages you are referring to are on either side of your heat exchanger, between the valves. Is that correct?

Is this heat exchanger something you built yourself or is it manufactured? If it is manufactured, it should have a performance curve. If nothing else, the valves should have published Cv's, so if you can measure the pressure drop across them, you can calculate the flow that way.
 

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