Calculating flow variables from a water pump

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Discussion Overview

The discussion centers on calculating the exit velocity of water from a nozzle connected to a centrifugal pump, given the mass flow rate and other parameters. Participants explore the relationship between flow rate, pressure, and nozzle dimensions, as well as the implications of these factors on the exit velocity and flow characteristics.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant inquires about the necessary variables to calculate the exit velocity of water from a nozzle, given the mass flow rate.
  • Another participant notes that the nature of the pump affects discharge pressure, which varies with flow rate, suggesting that a smaller nozzle increases discharge pressure and reduces flow rate.
  • A participant specifies that knowing the diameter of the pump outlet and the nozzle, along with assuming constant density, is essential but questions the role of pressure in calculating exit velocity.
  • It is mentioned that the velocity in the nozzle can be calculated using the continuity equation, but understanding the actual flow rate requires knowledge of how pump flow varies with pressure and how nozzle pressure drop affects flow rate.
  • Concerns are raised about the potential for flow to 'choke' if the nozzle area is too small, relating this to the speed of sound in the fluid.
  • A participant seeks clarification on a chart related to the pump's performance, questioning the variability of head at a specific flow rate and whether head can be converted into pressure units.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the relationship between flow rate, pressure, and nozzle size, indicating that multiple competing views remain on how these factors interact and affect the calculations.

Contextual Notes

Participants highlight the need for additional data regarding pressure variations and the implications of nozzle size on flow characteristics, indicating that assumptions about fluid properties and flow conditions may affect the calculations.

Who May Find This Useful

This discussion may be useful for individuals interested in fluid dynamics, pump operation, and the principles of flow rate and pressure in hydraulic systems.

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The setup I have is a water pump, with a pipe out leading to a nozzle of some sort. I know the mass flow rate of the water through the pump, and wish to calculate the exit velocity of the water from the nozzle.

Which other variables do I need to know?

Also, what dictates the limit to the exit velocity, as from conservation of mass, it would appear that simply making a tiny nozzle would give a high velocity. I'm fairly sure I'm missing something really simple and fundamental, but it's been a while since I've done this sort of thing.

Cheers.
 
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It depends upon the nature of your pump. Most pumps discharge pressure varies with the flowrate (or vice versa, if you prefer). So, a smaller hole in the nozzle raises the discharge pressure, reducing the flowrate, etc...
 
I see. Well the pump that is proposed is a centrifugal impeller pump, and the only real data I can find on it is the mass flow rate (250 m3/hr).

Lets say I know the diameter of the pump outlet, and the diameter of the nozzle (and assuming density is constant), do I need any other data to calculate the velocity of the water exiting the nozzle? I know pressure must come into it somewhere, I'm just not sure how...
 
Well yeah, if the flow rate is 250 m3/hr then the velocity in the nozzle is just 250/A where A is the flow area in m^2. That's called 'continuity.'

But if you want to know what the flowrate really is, you need to know how the pump flow varies with pressure (and how the nozzle pressure drop varies with flow rate).

Also, if the nozzle area is too small, the flow will 'choke' -- this has to do with the speed of sound in the fluid.
 
Thanks for your help so far! I've got this chart for the pump in question, but I just want to make sure I understand what it is displaying.

Screen_Shot_2012_02_22_at_21_16_15.png


Does this mean for a flow rate of 300m3/hr, then the head can be between 70~450m? I don't understand why it isn't a fixed value?

On that same note, is head just another way of saying pressure? i.e. Can I convert 450m into bar/pascal/psi, etc?
 

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