Article 30815 of alt.solar.thermal:
Path: news.misty.com!not-for-mail
From: nicksanspam@ece.villanova.edu
Newsgroups: alt.solar.thermal
Subject: A large pool heater
Date: 13 Jul 2008 09:03:58 -0400
Organization: Villanova University
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The local YMCA gas bill varies from $8K/month in the summer to $21K in
the winter. A lot of that heats an indoor pool. They also have a 75'x100'
flattish EPDM roof near the pool. We might cover the roof with 2 layers of
4-year UV polyethylene greenhouse film to heat the pool to 84 F and also
preheat water for showers with a large pressurized plastic pipe coil in
the surge tank. And heat the building, with an HVAC mod for better
dehumidification with heat recovery.

The roof pitch is about 1' in the 75' direction, so the lower film would
always be covered with water if we glue 2x4s to the roof on 8' centers
in the 100' direction with silicone caulk. The materials cost would include
about $1500 for 2 75x100' rolls of film (replacing the upper one every
4 years) plus $350 for 350' of perimeter aluminum extrusions with stainless
steel spring wires to fasten the film plus $250 for 1000' of 2x4s, plus
about $50 for an 50 watt static inflation blower, and a few more dollars
for some webbing straps above the upper film to avoid wind fatigue.

Nick

10 PI=4*ATN(1)
20 PHI=PI*39.88/180'Phila north latitude (radians)
30 DATA 30.4,37.9,620,1000,33.0,41.0,870,1080
40 DATA 42.4,51.6,1200,1070,52.4,62.6,1520,950
50 DATA 62.9,73.1,1760,830,71.8,81.7,1940,790
60 DATA 76.7,86.1,1890,820,75.5,84.6,1710,940
70 DATA 68.2,77.6,1380,1070,56.4,66.3,1020,1150
80 DATA 46.4,66.3,680,990,35.8,43.4,530,900
90 GASBILL=8000'summer monthly gas bill ($)
100 PPTHERM=1.5'price per therm ($)
110 HTREFF=80'pool heater efficiency (%)
120 POOLHEAT=GASBILL/PPTHERM*100000!/30*HTREFF/100'pool heat (Btu/day)
130 GPM=100'heater water flow rate (gpm)
140 DT=POOLHEAT/GPM/60/8.33/6'heater dT with 6 hour solday
160 DCOST=2100'heater cost ($)
170 AREA=75*100'heater area (ft^2)
180 FOR MONTH=1 TO 12
190 READ TA,TP,HS,SS'avg temp,peak temp, horiz sun, south wall sun
200 TD=(TA+TP)/2'average daytime temp (F)
210 N=15+30.42*(MONTH-1)'day of year
220 DELTA=PI*(23.45*SIN(2*PI*(284+N)/365))/180'declination (radians)
230 ARG=-TAN(PHI)*TAN(DELTA)
240 ACOS=-ATN(ARG/SQR(1-ARG^2))+PI/2'arc cosine (radians)
250 DAYLEN=2/15*180*ACOS/PI'day length (hours)
260 SOLDAY=DAYLEN-3'solar collection day length (hours)
270 GAIN=AREA*(.9*HS-(84+DT/2-TD))'pool gain (Btu/day)
280 SOLARPC=100*GAIN/POOLHEAT'solar heating %
290 TGAIN=TGAIN+30.42*GAIN'yearly gain (Btu)
300 PRINT 500+MONTH;"'"POOLHEAT,GAIN;TAB(50);SOLARPC
310 NEXT MONTH
320 PRINT"600'heater area (ft^2):";AREA;"       heater cost ($):";DCOST
330 SAVINGS=PPTHERM*TGAIN/100000!'annual solar savings
340 PAYBACK=DCOST/SAVINGS*365'simple payback time (days)
350 PRINT"601'savings ($/year):";SAVINGS;"     payback (days):";PAYBACK

month   pool heat             solar heat           % solar

1       1.422222E+07 Btu/day  3633276 Btu/day      25.54647 
2       1.422222E+07          5342151              37.562
3       1.422222E+07          7644651              53.75146
4       1.422222E+07          9883401              69.49266
5       1.422222E+07          1.158215E+07         81.437
6       1.422222E+07          1.286278E+07         90.4414
7       1.422222E+07          1.256015E+07         88.31356
8       1.422222E+07          1.133503E+07         79.6994
9       1.422222E+07          9053901              63.66024
10      1.422222E+07          6537276              45.96523
11      1.422222E+07          4204776              29.56483
12      1.422222E+07          3066651              21.56239

heater area (ft^2): 7500          heater cost ($): 2100
savings ($/year):   44583.33      payback (days):  17.19252

Nick




