Find the Best Fan or Propeller for Efficient Cooling in a 3 1/2" Device

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For efficient cooling in a 3 1/2" device requiring 12 CFM of airflow through a reducing funnel into a 3/4" tube at 4000 FPM, selecting the right fan or propeller is crucial. A 90mm PC fan can be modified to fit a square footprint, while a 60mm fan is suitable for a circular footprint. It's essential to consider back-pressure, as a fan must be rated for 12 CFM at 1.0 inches of water pressure, especially if the tube is long or has bends. Centrifugal blowers may be necessary for higher pressure requirements, as standard fans may not provide adequate airflow. Reliable sources for purchasing fans include Digikey, Newark, and Mouser.
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Required air for cooling
I have space in a device about 3 1/2" across and need to get 12cfm of fresh air from this area via a reducing funnel with a ration of 15:1, into a 3/4" tube requiring cooling air inside it at a velocity of 4000fpm. How do I select a fan or drone propeller combination that will do this?
 
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If you have space for a 3 1/2" x 3 1/2" footprint (as opposed to a circular footprint? wasn't clear there), then you could get a 90mm PC fan and file down the sides until it fit (it's only 1mm oversize). If that's too much flow (if that even matters for your application), you can wire a resistor in series with the fan to reduce the power output.

If you meant 3 1/2" circular footprint, then try a 60mm fan.

The fan specifications usually include a flow rate in cfm.

If it was me, I would just buy an extra powerful fan and throttle it with different resistors until I saw 12cfm on the other side of the reducer. Ignoring turbulence, just basic Bernoulli equation says you'd only have to fight 260Pa of back-pressure which is chump change, so one of these PC fans (espeically a 90mm) should be plenty of oomph. If you reaaaaaally need it to be 12cfm as opposed to "good enough" (which I strongly recommend if possible), you would need a hot-wire anemometer for flow measurement.
 
You will need more than a muffin fan. A velocity of 4000 FPM has a velocity pressure of 1.0 in w.c. (inches of water). If your 3/4" tube is short, the fan needs to be rated for 12 CFM at 1.0 inches of water pressure. A long tube, especially if it has bends, will need more pressure. That will require a centrifugal blower, not a fan.

Here is a possibility: https://orionfans.com/productFiles/datasheet/OAB908AN.pdf. I'm sure that there are other fans available that will meet your needs. This is just the first one that I found on a quick search. Digikey, Newark, and Mouser are the first sources I would look into. There are other sources, these are just the ones off the top of my head.
 
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@jrmichler is right. I had no idea fans were that finnicky to back-pressure, but if it takes this blower 60W to maintain 20 CFM at 260Pa (about one inch H2O) then there's no way a PC fan will do anything close to 12 CFM. My bad.
 
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