Sneak
Peak Video of the |
Download
Over 100Meg of |
indoor misting 24 aug 2003 nrel says an average june day in phoenix is 88.2 f, with an average daily max of 103.5 and a humidity ratio w = 0.0056, so the vapor pressure of water in air is p = 14.696/(0.62198/w+1) = 0.1311 psi, and y = 0.135t+1.92p-11.122 = 3.1, ie it's "hot," on one ashrae comfort scale (0 is comfy, +1 is warm, and -1 is cool.) can we evaporate water indoors to make 0.135t+1.92p-11.122 = 0, ie t+14.22p = 82.39? say the house thermal conductance is 200 btu/h-f, and it uses 600 kwh/mo of electricity indoors, and windows are well-shaded. p = 29.921/(0.62198/w+1) = 0.2670 "hg makes tdp = 9621/(17.863-ln(p)) = 502 r or 42 f, less than the 55 f said to be needed for swamp cooler effectiveness. with indoor temp t, airflow of say, 1000 cfm brings in about (103.5-t)1000 btu/h of sensible heat. the house conductance adds (103.5-t)200. electrical use adds 2841 btu/h, so the peak cooling load is (103.5-t)1200+2841 btu/h. it takes about 1000 btu to evaporate a pound of water, and air weighs about 0.075 lb/ft^3. with an indoor humidity ratio w, 1000 cfm of air can move about 1000x60x0.075(w-0.0056) = 4500(w-0.0056) pounds of water per hour or 4.5x10^6w-25200 btu/h of heat... (103.5-t)1200+2841 = 4.5x10^6w-25200 makes t = 126.87-3750w. p = 14.696/(0.62198/w+1), so 126.87-3750w+14.22p = 82.39 makes 44.48-3750w+208.98w/(0.62198+w) = 0, ie 84.31w^2+46.74w-0.62198 = 0, which makes w = 0.0130 pounds of water per pound of dry air. t = 78.1 f and p = 0.3009 psi (0.613 "hg) makes y = -0.001, ie "comfortable." adding 4500(0.0130-0.0056) = 33.3 lb/h of water (4 gph) would raise the rh from 100x0.267/e^(17.863-9621/(103.5+460)) = 12% outdoors to 62% indoors. we might use 12 40 psi 0.5 gph indoor misters, eg 2 $26.96 mister cool kits from http://www.hydropool.com/cgi-bin/hydro/pool_supplies/accessories/az-pro.htm, with a 67% duty cycle. but that's 103.5 f peak of an average june day, and houses have mass. at the average 88.2 temp, (88.2-t)1200+2841 = 4.5x10^6w-25200 btu/h makes t = 111.57-3750w, and 128.5w^2+71.77w-0.62198 = 0 makes w = 0.008536, so t = 79.6 and p = 0.199 psi, as we evaporate 4500(0.008536-0.0056) = 13.2 pounds per hour of water. and why 1000 cfm? it looks like an intelligent swamp cooler might use less air and water flow for lower outdoor temps, eg 200 cfm and 6.9 pounds of water per hour at 88.2 f and 300 cfm and 16.3 pounds at 103.5. does this comfort equation apply all the up to 100% rh? at that point, we can't evaporate any water indoors... a 120 v solenoid valve dug out of an old washing machine might control misters with a $5 humidistat or a pic microchip with a $15 honeywell humidity sensor and a $5 temp sensor, and maybe a moisture sensor on the floor. alternatively, we might build an air-air heat exchanger into the ceiling so outgoing cooler air near the ceiling cools incoming warmer air before it absorbs water indoors. or trickle water over the roof at night or use a rock-filled pond or gabion to make water near the dew point, with an indoor fan-coil unit or ceiling radiator, without adding any warm air or humidity to the house. nick 10 wa=.0056'humidity ratio (#h20/#dryair) 20 gh=200'house conductance (btu/h-f) 30 e=2841'internal energy use (btu/h) 40 for ta= 88.2 to 103.5 step 15.3'outdoor temp (f) 50 for cfm=100 to 500 step 100'vent fan airflow (cfm) 60 g=gh+cfm'effective house conductance (btu/h-f) 70 a2=(ta*g+e+4500*cfm*wa)/g 80 a5=(82.39-a2)/(14.22*14.696) 90 b2=4500*cfm/g/(14.22*14.696) 100 a=-b2 110 b=-.62198*b2+1-a5 120 c=-.62198*a5 130 w=(-b-sqr(b^2-4*a*c))/(2*a) 140 phg=29.921/(.62198/w+1)'indoor vapor pressure ("hg) 150 t=82.39-14.22*14.696/(.62198/w+1) 160 psat=exp(17.863-9621/(460+t))'vapor pressure at 100% rh ("hg) 170 rh=100*phg/psat 180 print ta;cfm;tab(15);t;tab(26);rh;60*cfm*.075*(w-wa) 190 next cfm 200 print 210 next ta outdoor indoor indoor lb h20 temp (f) cfm temp (f) rh (%) per hour 88.2 100 75.82893 103.0296 6.552321 88.2 200 78.02118 63.76435 6.912526 <-- 88.2 300 78.68417 52.91046 7.598912 88.2 400 79.00403 47.83385 8.358578 88.2 500 79.19236 44.89248 9.146326 103.5 100 71.8588 189.0924 12.33336 103.5 200 75.50176 109.3604 14.04029 103.5 300 76.62033 88.23434 16.28082 <-- 103.5 400 77.16261 78.50755 18.64345 103.5 500 77.48267 72.91886 21.05314 |