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Posted by on June 9, 2007, 10:05 am
>> ... If it's 60 F outdoors and the pool is 70 F and 250 Btu/h-ft^2 of sun
>> is hitting 80 ft^2 of unglazed pool heaters 2' above the water surface,
>> how much water should we pump through the heaters to maximize the COP?
>>
>> It looks like the answer is zero, with zero heat gain for the pool :-)
>>
>> If 250x80 = 20K Btu/h = poolgain + airloss, and poolgain = 500gpm(Tf-70)
>> and airloss = (T-60)80ft^2x2Btu/h-F-ft^2, with final and average heater
>> temps Tf and T = (70+Tf)/2, Tf = (24K+35Kgpm)/(80+500gpm), which makes
>> COP = 89.5K/(gpm+6.25gpm^2), with a min COP = 0 at infinite gpm.
>>
>> 20 HEAD=2'pool heater head (feet)
>> 30 FOR GPM=1 TO 5'heater flow
>> 40 HP=HEAD*8.33*GPM/60/550'pump horsepower
>> 50 PE=746*HP*3.412'pump power (Btu/h)
>> 60 TF=(24000+35000!*GPM)/(80+500*GPM)'final heater water temp (F)
>> 70 PS=60*8.33*GPM*(TF-70)'pool solar gain (Btu/h)
>> 80 COP=PS/PE'coefficient of performance
>> 90 PRINT GPM,TF,PS,COP
>> 100 NEXT GPM
>>
>> 1 101.7241 15855.72 12338.92
>> 2 87.03704 17030.23 6626.459
>> 3 81.64557 17461.37 4529.477
>> 4 78.84616 17685.23 3440.661
>> 5 77.13178 17822.32 2773.866
>>
>> Why pump more than 2 gpm? Going to 4 increases the pool heat gain by 4%
>> while halving the COP (to a thousand times more than an AC COP of 3 :-)
Silly people in Florida heat their pools with outdoor heat pumps :-)
Smarter ones use AC waste heat.
>Interesting but I dont know what the hell it all means... :-)
You expect people to spoon-feed you? :-)
>Panels are not "up there" they are 2 feet above the ground on a 4' x 20'
>plywood stand.
Perhaps you can lower one long edge to tilt the stand towards the south.
>No glazing just 2 panels with 50 1/4" black plastic tubes per panel.
Sounds Sol-R-Roll or EZ-Heat. You may find lots of black dust in the water
and a few broken tubes next spring.
>You bring up a good point.. I was thinking low flow with higher heat
>transfer but I see the point of having higher water turnover with just a few
>degrees rise. Its not how hot I can get the water coming out of the
>collectors. the point is to increase the whole pools temp.... That may be
>better with the higher volume lower temp increase???
Yes, tho returns diminish with more pump power.
How about a clear solar pool cover?
Nick
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