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Solar assisted A / C
Drew Cutter wrote:
I understand that dehumidifiers will be hard to come by because of Katrina. Demand for these have gone way up. Solar-assisted fans might work faster with less electrical energy. NREL says 1550 Btu/ft^2 of sun falls on the ground on an average 78.1 F September day in New Orleans, with an 86.1 daily max and humidity ratio wa = 0.0158 pounds of water per pound of dry air. With 8 hours of sun and an average 82 F daytime temp, a $100 16'x16' plastic film greenhouse with 1x3 bows and a $50 Lasko 16" 90 W window fan could collect 0.9x1550x256ft^2/8h = 44.6K Btu/h, heating 2470 cfm of 82 F air to 82+44.6K/2470 = 100 F. With temp T and vapor pressure Pi and w in a house with an 800 Btu/h-F conductance, we could remove P = 60x2470x0.075(w-0.0158) = 11115w-176 pounds of water per hour. If (100-T)2470 = (T-82)(2470+800)+1000P, ie 247-2.47T = 3.27T-268-P, P = 5.74T - 515 = 11115w-176, so T = 120.4-1936w. Pi = e^(17.863-9621/(460+T)) "Hg and w = 0.62198/(29.921/Pi-1) makes T = 120.4-1204/(29.921/Pi-1), ie Pi = 29.921((120.4-T)/(1324-T)), so T = 9621/(14.46-ln((120.4-T)/(1324-T)))-460. Plugging in T = 80 F on the right makes T = 74 on the left. Repeating makes T = ... 78.79. 20 TD=(78.1+86.6)/2'average daytime temp (F) 30 WA=.0158'outdoor humidity ratio 40 CFM=2470'fan airflow (cfm) 45 SUNPOWER=.9*256*1550/8'solar heat (Btu/h) 50 TG=TD+SUNPOWER/CFM'greenhouse temp (F) 60 GH=800'house conductance (Btu/h-F) 70 T=80'initial house temp est (F) 80 TERM1=17.863-LOG(29.921) 90 TERM2=(2*CFM+GH)/1000 100 TERM3=60*CFM*.075 105 TERM4=(CFM*TG+TD*(CFM+GH))/1000 110 T1=(TERM4+TERM3*WA)/TERM2 120 T2=T1+TERM3*.62198/TERM2 130 TH=9621/(TERM1-LOG((T1-T)/(T2-T)))-460 140 IF ABS(T-TH).01 THEN T=TH:GOTO 130 150 PI=EXP(17.863-9621/(460+T)) 160 WI=.62198/(29.921/PI-1) 170 P=4.5*CFM*(WI-WA) 180 PRINT T,PI,WI,P Indoor Vapor Humidity Pounds temp pressure ratio per hour 78.79059 1.006362 2.164776E-02 64.99785 September 71.0885 .7767595 1.657717E-02 57.5442 October So it looks like we can remove about 8 gallons per hour or 64 gallons per day this way in September, and 57 in October, with 1370 Btu/ft^2 of sun and a 69.1 average and 79.4 max and wa = 0.0114. Nick |
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Drew Cutter wrote:
I understand that dehumidifiers will be hard to come by because of Katrina. Demand for these have gone way up. Solar-assisted fans might work faster with less electrical energy. NREL says 1550 Btu/ft^2 of sun falls on the ground on an average 78.1 F September day in New Orleans, with an 86.1 daily max and humidity ratio wa = 0.0158 pounds of water per pound of dry air. With 8 hours of sun and an average 82 F daytime temp, a $100 16'x16' plastic film greenhouse with 1x3 bows and a $50 Lasko 16" 90 W window fan could collect 0.9x1550x256ft^2/8h = 44.6K Btu/h, heating 2470 cfm of 82 F air to 82+44.6K/2470 = 100 F... Indoor Vapor Humidity Pounds temp pressure ratio per hour 78.79059 1.006362 2.164776E-02 64.99785 September 71.0885 .7767595 1.657717E-02 57.5442 October ...it looks like we can remove about 8 gallons per hour or 64 gallons per day this way in September, and 57 in October, with 1370 Btu/ft^2 A 32'x32' greenhouse with a larger fan might double this: 20 DATA 78.1,86.6,0.0158,1550 30 DATA 69.1,79.4,0.0114,1370 40 CFM=3560'fan airflow (cfm) 50 L=32:W=32'greenhouse length and width (feet) 60 GH=800'house conductance (Btu/h-F) 70 FOR MONTH = 1 TO 2'September and October in New Orleans 80 READ TAVG,TMAX,WA,HSUN'Tavg, Tmax, humidity ratio, sun on ground 90 TD=(TAVG+TMAX)/2'average daytime temp (F) 100 SUNPOWER=.9*L*W*HSUN/8'sun power (Btu/h) 110 TG=TD+SUNPOWER/CFM'greenhouse temp (F) 120 T=80'initial house temp est (F) 130 TERM1=17.863-LOG(29.921) 140 TERM2=(2*CFM+GH)/1000 150 TERM3=60*CFM*.075 160 TERM4=(CFM*TG+TD*(CFM+GH))/1000 170 T1=(TERM4+TERM3*WA)/TERM2 180 T2=T1+TERM3*.62198/TERM2 190 TH=9621/(TERM1-LOG((T1-T)/(T2-T)))-460 200 IF ABS(T-TH).01 THEN T=TH:GOTO 190 210 PI=EXP(17.863-9621/(460+T)) 220 WI=.62198/(29.921/PI-1) 230 P=4.5*CFM*(WI-WA) 240 PRINT TG,T,WI,P 250 NEXT MONTH Greenhouse Indoor Humidity Pounds temp (F) temp (F) ratio per hour 132.5073 84.19831 2.602676E-02 163.8327 September 118.5826 76.60541 2.008044E-02 139.0606 October Greenhouse polyethyelene film comes in 32'x100' rolls with a 4-year guarantee. It costs about 5 cents/ft^2. A lot of it's made in Texas. To minimize the greenhouse heat loss, we might put black plastic on the ground and hang a layer of shadecloth above, with the fan above that, pushing outdoor air into the greenhouse which warms as it passes down through the shadecloth and flows into the lower house windows. Nick |
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