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by petermcneeley
2799 days ago
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* Not to clutter hn but here are my notes for that discussion: http://www.sfu.ca/~mbahrami/ENSC%20461/Notes/Refrigeration%2...
http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/watvap.ht... this shows that its quite large amount
Efficiency fridge = 1 / ( Th / Tl - 1) There is actually way more water in the air than 0.04 grams... i think this is because liters not m^3
for 1m^3 there is 30 grams at 30 degrees and 17.3 at 20 degrees. its at least ~15/10 - > 1.5 grams per Centigrade
Say we do small diff of 4 degrees, 30 to 26. We gain 1.5 * 4 = 6 grams / m^3
To do this we need to cool 1m^3 water at 30 to 20.
Now this is tricky because humidity but
https://www.engineeringtoolbox.com/heating-humid-air-d_693.h...
h = 1.01 (kJ/kg.oC) t + x [1.84 (kJ/kg.oC) t + 2502 (kJ/kg)]
x is relative weight so its actually small like 0.03 so it changes the result very little
h = 1.06 (kJ/kg.oC) t + x 2502 Kj/kg
partial diff with t gives us 4.24kJ/kg change for cooling the air (sensible)
partial diff with x gives us (0.006kg delta) 2500 - > 15kJ/kg for this 4 degree change for condensation with 6g/m^3 of water
Since the cooling of air that didnt result in water is reclaimable energy lets ignore it
Now efficiency of this heat transfer
1/ (303.15 / 299.15 - 1) = 75x heat transfer efficiency. Does this make sense? we know heat pumps are amazing :)
so per gram its like 15kJ/6g = 2.5kJ/gram -> this is really expected as 2.3MJ/kg from original video! However this heat (Q) is moved via work (W) at 75x rate
This means to get 1kg (1L really) it only takes 30KJ
So at 15watts (J/sec) -> 2000sec -> 33 min
Perhaps this wont work because the MASSSIVE heat sink required :) How much air needs to be moved?
we get 6 grams for each meter cubed of air. Not great thats about 166m^3 of air that needs to filter.
https://www.amazon.ca/Ultra-Strong-DC12V-Cooling-200CFM/dp/B...
200CFM -> 5.66 m^3/min 60 min/h = 339 ... this is double what we need.
its about 1.6A 12v = 15 watt... but its more than we need. Half it? |
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Perhaps not! Thanks for running the numbers.