PT Industries (1 800 44 ENDOT) sell 1/2"x400' coils of 125 psi (tested to
600 psi) NSF-certified HDPE pipe (0.752" OD and 0.622" ID, with a nominal
minimum bending radius of 20xOD = 15") for $67, list. Ferguson's price is
$48. I figure 800' in 3 vertical spirals in a 55-gallon drum with a liner
and a removable bolt-ring top would have 143 ft^2 of surface and hold 12.5
gallons, with an NTU of 6.8 and a burst efficacy of 87%. The layers could
use some separators to prevent nesting, eg some lengthwise slices of pipe.
This single-wall heat exchanger is not NSF-compliant as is, but endurance
testing and leak detection and safety devices could change that.
It has enough volume to do better over a day, with water usage in small
bursts, eg a 10 minute 1.25 gpm shower. How could we calculate that? I
tried hard to make this with 300' of 1" pipe, but it kinked too often
when two of us (looking like Laurel and Hardy
tried to spiral it
carefully into a drum on a warm day...
All the holes would be in the drum lid. Cold water would enter the spirals
at the bottom via a dip tube and exit from the top. Greywater would enter
the bulk of the drum at the top via a 1.5" PVC dip tube with holes to let
it find its own thermal level and leave from the bottom via another tube,
with 1-2 psi in the drum to get it back up into a sewer pipe near the top
of a basement ceiling (The GFX requires lots of vertical drop.) We might
put a thermostat on the lid and an electric heating element through the lid
to make a standalone water heater.
Nick
10 SCREEN 9:KEY OFF
I=4*ATN(1)
20 DOP=.752'pipe od (inches)
30 DIP=.622'pipe id (inches)
40 NTURNS=34.5/DOP'number of turns in layer
50 RLOOP=23.5/2'loop radius (inches)
60 CLOOP=2*PI*RLOOP/12'loop od (feet)
70 LLAYER=NTURNS*CLOOP'length per layer (feet)
80 L=LLAYER
90 PRINT 1,RLOOP/DOP,NTURNS,LLAYER
100 RLOOP=RLOOP-DOP'loop radius (inches)
110 CLOOP=2*PI*RLOOP/12'loop od (feet)
120 LLAYER=NTURNS*CLOOP'length per layer (feet)
130 L=L+LLAYER
140 PRINT 2,RLOOP/DOP,NTURNS,LLAYER
150 RLOOP=RLOOP-DOP'loop radius (inches)
160 CLOOP=2*PI*RLOOP/12'loop od (feet)
170 LLAYER=NTURNS*CLOOP'length per layer (feet)
180 L=L+LLAYER
190 PRINT 3,RLOOP/DOP,NTURNS,LLAYER
200 AP=AP+L*PI*(DOP+DIP)/2/12'pipe area (ft^2)
210 VP=VP+L*PI*(DIP/2/12)^2*7.48'pipe volume (gallons)
220 PRINT L,AP,VP
230 C=60*1.25*8.33'burst heat capacity rate (Btu/h-F)
240 NTU=30*AP/C'burst NTU for counterflow heat exchanger
250 E=NTU/(NTU+1)'burst heat exchanger efficacy
260 TCI=55'fresh water inlet temp (F)
270 TSH=110'shower head outlet temp (F)
280 THI=105'greywater inlet (shower drain) temp (F)
290 THO=TCI+E*(THI-TCI)'burst fresh water outlet temp (F)
300 ESAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'burst % savings
305 VHW=120'daily hot water consumption (gallons)
310 CKWH=.1'$/kWh
320 DSAVINGS=365*ESAVINGS/100*VHW*8.33*(TSH-TCI)/3412*CKWH'$/year savings
330 PRINT NTU,E,THO,ESAVINGS,DSAVINGS
350 C=VHW*8.33/24'continuous heat capacity rate (Btu/h-F)
360 NTU=30*AP/C'continuous NTU for counterflow heat exchanger
370 E=NTU/(NTU+1)'continuous heat exchanger efficacy
380 THO=TCI+E*(THI-TCI)'continuous fresh water outlet temp (F)
390 SAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'continuous % savings
400 ESAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'burst % savings
410 DSAVINGS=365*ESAVINGS/100*VHW*8.33*(TSH-TCI)/3412*CKWH'$/year savings
420 PRINT NTU,E,THO,ESAVINGS,DSAVINGS
layer radius/od # turns pipe length (feet)
1 15.625 45.87767 282.2525
2 14.625 45.87767 264.1884
3 13.625 45.87767 246.1242
total length total area total volume
(feet) (ft^2) (gallons)
792.5651 142.5478 12.50964
Fresh output energy yearly
NTU Efficacy temp (F) savings (%) savings ($)
6.84503 .8725308 98.62654 79.32098 466.5099 burst
102.6754 .9903546 104.5177 90.03223 529.5059 continuous
600 psi) NSF-certified HDPE pipe (0.752" OD and 0.622" ID, with a nominal
minimum bending radius of 20xOD = 15") for $67, list. Ferguson's price is
$48. I figure 800' in 3 vertical spirals in a 55-gallon drum with a liner
and a removable bolt-ring top would have 143 ft^2 of surface and hold 12.5
gallons, with an NTU of 6.8 and a burst efficacy of 87%. The layers could
use some separators to prevent nesting, eg some lengthwise slices of pipe.
This single-wall heat exchanger is not NSF-compliant as is, but endurance
testing and leak detection and safety devices could change that.
It has enough volume to do better over a day, with water usage in small
bursts, eg a 10 minute 1.25 gpm shower. How could we calculate that? I
tried hard to make this with 300' of 1" pipe, but it kinked too often
when two of us (looking like Laurel and Hardy
carefully into a drum on a warm day...
All the holes would be in the drum lid. Cold water would enter the spirals
at the bottom via a dip tube and exit from the top. Greywater would enter
the bulk of the drum at the top via a 1.5" PVC dip tube with holes to let
it find its own thermal level and leave from the bottom via another tube,
with 1-2 psi in the drum to get it back up into a sewer pipe near the top
of a basement ceiling (The GFX requires lots of vertical drop.) We might
put a thermostat on the lid and an electric heating element through the lid
to make a standalone water heater.
Nick
10 SCREEN 9:KEY OFF
20 DOP=.752'pipe od (inches)
30 DIP=.622'pipe id (inches)
40 NTURNS=34.5/DOP'number of turns in layer
50 RLOOP=23.5/2'loop radius (inches)
60 CLOOP=2*PI*RLOOP/12'loop od (feet)
70 LLAYER=NTURNS*CLOOP'length per layer (feet)
80 L=LLAYER
90 PRINT 1,RLOOP/DOP,NTURNS,LLAYER
100 RLOOP=RLOOP-DOP'loop radius (inches)
110 CLOOP=2*PI*RLOOP/12'loop od (feet)
120 LLAYER=NTURNS*CLOOP'length per layer (feet)
130 L=L+LLAYER
140 PRINT 2,RLOOP/DOP,NTURNS,LLAYER
150 RLOOP=RLOOP-DOP'loop radius (inches)
160 CLOOP=2*PI*RLOOP/12'loop od (feet)
170 LLAYER=NTURNS*CLOOP'length per layer (feet)
180 L=L+LLAYER
190 PRINT 3,RLOOP/DOP,NTURNS,LLAYER
200 AP=AP+L*PI*(DOP+DIP)/2/12'pipe area (ft^2)
210 VP=VP+L*PI*(DIP/2/12)^2*7.48'pipe volume (gallons)
220 PRINT L,AP,VP
230 C=60*1.25*8.33'burst heat capacity rate (Btu/h-F)
240 NTU=30*AP/C'burst NTU for counterflow heat exchanger
250 E=NTU/(NTU+1)'burst heat exchanger efficacy
260 TCI=55'fresh water inlet temp (F)
270 TSH=110'shower head outlet temp (F)
280 THI=105'greywater inlet (shower drain) temp (F)
290 THO=TCI+E*(THI-TCI)'burst fresh water outlet temp (F)
300 ESAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'burst % savings
305 VHW=120'daily hot water consumption (gallons)
310 CKWH=.1'$/kWh
320 DSAVINGS=365*ESAVINGS/100*VHW*8.33*(TSH-TCI)/3412*CKWH'$/year savings
330 PRINT NTU,E,THO,ESAVINGS,DSAVINGS
350 C=VHW*8.33/24'continuous heat capacity rate (Btu/h-F)
360 NTU=30*AP/C'continuous NTU for counterflow heat exchanger
370 E=NTU/(NTU+1)'continuous heat exchanger efficacy
380 THO=TCI+E*(THI-TCI)'continuous fresh water outlet temp (F)
390 SAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'continuous % savings
400 ESAVINGS=100*(1-(TSH-THO)/(TSH-TCI))'burst % savings
410 DSAVINGS=365*ESAVINGS/100*VHW*8.33*(TSH-TCI)/3412*CKWH'$/year savings
420 PRINT NTU,E,THO,ESAVINGS,DSAVINGS
layer radius/od # turns pipe length (feet)
1 15.625 45.87767 282.2525
2 14.625 45.87767 264.1884
3 13.625 45.87767 246.1242
total length total area total volume
(feet) (ft^2) (gallons)
792.5651 142.5478 12.50964
Fresh output energy yearly
NTU Efficacy temp (F) savings (%) savings ($)
6.84503 .8725308 98.62654 79.32098 466.5099 burst
102.6754 .9903546 104.5177 90.03223 529.5059 continuous