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Re: My swamp cooler / box fan . . . review

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Posted by nicksanspam on August 15, 2007, 5:51 am
 


http://www.electric-fan.com/product/BFC2200.aspx

The ASHRAE 55-2004 comfort standard says that's very hot, with a predicted
mean vote of 3.07 on a scale of -3 (very cold) to 0 (perfectly comfortable)
to +3 (very hot.)

T (C)         RH%      Clo       PMV              PPD%

35            33       .5        3.07171          99.38564

The standard predicts that 99.38564% of people surveyed would be dissatisfied.


The web site says it moves 415 cfm, and 1 Btu/h can cool 1 cfm about 1 F
and 1000 Btu can evaporate 1 pound of water, so you were cooling the air by
about 415(95-84) = 4565 Btu/h with about 4.565 pounds per hour of water.

With an outdoor vapor pressure Po = 0.33e^(17.863-9621/(460+95)) = 0.559 "Hg
(using a Clausius-Clapeyron approximation--ask Caryn), and humidity ratio
wo = 0.62198/(29.921/Po-1) = 0.00185 pounds of water per pound of dry air
(1 ft^3 of 70 F air weighs 0.075 pounds), 4.565 = 60x415x0.075(wi-wo) makes
wi = 0.014295 and Pi = 0.6877 "Hg with a 57.6% RH indoors, which would be
a lot more comfy:

T (C)         RH%      Clo       PMV              PPD%

28.88889      57.6     .5        .8197596         19.1735

Only 19.1735% of the people would be dissatisfied.

If you could evaporate 6 vs 4.565 pounds of water per hour, you could lower
the outdoor air temp to 80.5 F with wi = 0.01506 and a 66.3% RH, which would
be even  more  comfy:

T (C)         RH%      Clo       PMV              PPD%

26.94445      66.3     .5        6.351899E02      5.083534

The ASHRAE comfort zone is defined by -0.5 < PMV < 0.5. They also limit
the humidity ratio to 0.0120 max, so wi = 0.014295 is outside the zone,
even though the calc below suggests it would be close to perfectly
comfortable, with 5.083534 Per cent of People Dissatisfied.
(You can't please everyone with one condition.)


You may be cooling more outdoor air than you need.


You might enjoy moving the cooler into the room and only running it when
the room temp rises to 80.5 F with a thermostat, and only running the fan
when the room RH rises to 66.3%, with a humidistat, eg this one:

http://www.grainger.com/Grainger/wwg/itemDetailsRender.shtml?ItemId 11632220


If you are only cooling the room and C cfm of outdoor air with P pounds
of water per hour, and the room thermal conductance is (say) 50 Btu/h-F,
1000P = (95-80.5)(50+C) and P = 60C0.075(wi-wo) make P = 1.73 lb/h and
C = 120 cfm, so the 3.25 gallon reservoir would last 3.25x8.33/1.73 =
15.6 hours.

50 CLO =.5'clothing insulation (clo)
60 MET=1.1'metabolic rate (met)
70 WME=0'external work (met)
80 TA=(80.5-32)/1.8'air temp (C)
90 TR=TA'mean radiant temp (C)
100 VEL=.5'air velocity
120 RHf.3'relative humidity (%)
130 PA=0'water vapor pressure
140 DEF FNPS(T)=EXP(16.6536-4030.183/(TA+235))'sat vapor pressure, kPa
150 IF PA=0 THEN PA=RH*10*FNPS(TA)'water vapor pressure, Pa
160 ICL=.155*CLO'clothing resistance (m^2K/W)
170 M=MET*58.15'metabolic rate (W/m^2)
180 W=WME*58.15'external work in (W/m^2)
190 MW=M-W'internal heat production
200 IF ICL<.078 THEN FCL=1+1.29*ICL ELSE FCL=1.05+.645*ICL'clothing factor
210 HCF.1*SQR(VEL)'forced convection conductance
220 TAA=TA+273'air temp (K)
230 TRA=TR+273'mean radiant temp (K)
250 TCLA=TAA+(35.5-TA)/(3.5*(6.45*ICL+.1))'est clothing temp
260 P1=ICL*FCL:P2=P1*3.96:P3=P1*100:P4=P1*TAA'intermediate values
300 P508.7-.028*MW+P2*(TRA/100)^4
310 XN=TCLA/100
320 XF=XN
330 N=0'number of iterations
340 EPS=.00015'stop iteration when met
350 XF=(XF+XN)/2'natural convection conductance
360 HCN=2.38*ABS(100*XF-TAA)^.25
370 IF HCF>HCN THEN HC=HCF ELSE HC=HCN
380 XN=(P5+P4*HC-P2*XF^4)/(100+P3*HC)
390 N=N+1
400 IF N>150 GOTO 550
410 IF ABS(XN-XF)>EPS GOTO 350
420 TCL0*XN-273'clothing surface temp (C)
440 HL1=.00305*(5733-6.99*MW-PA)'heat loss diff through skin
450 IF MW>58.15 THEN HL2=.42*(MW-58.15) ELSE HL2=0'heat loss by sweating
460 HL3=.000017*M*(5867-PA)'latent respiration heat loss
470 HL4=.0014*M*(34-TA)'dry respiration heat loss
480 HL5=3.96*FCL*(XN^4-(TRA/100)^4)'heat loss by radiation
490 HL6üL*HC*(TCL-TA)'heat loss by convection
510 TS=.303*EXP(-.036*M)+.028'thermal sensation transfer coefficient
520 PMV=TS*(MW-HL1-HL2-HL3-HL4-HL5-HL6)'predicted mean vote
530 PPD0-95*EXP(-.03353*PMV^4-.2179*PMV^2)'predicted % dissatisfied
540 GOTO 580
550 PMV™999!:PPD0
580 PRINT TA,RH,CLO,PMV,PPD

T (C)         RH%      Clo       PMV              PPD%

35            33       .5        3.07171          99.38564
28.88889      57.6     .5        .8197596         19.1735
26.94445      66.3     .5        6.351899E02      5.083534

Nick


Posted by Tockk on August 15, 2007, 10:49 pm
 
Wow . . . now that's what I call a post . . .
Thanks,
--Tock



Posted by Abby Normal on September 6, 2007, 8:51 pm
 
Nick has been learning evaporative cooling for a couple years online
now, he may understand it one day yet :-)


Posted by Abby Normal on September 6, 2007, 8:50 pm
 On Aug 15, 4:51 am, nicksans...@ece.villanova.edu wrote:

Am I reading you correct that you are finally using outside air?


Posted by Abby Normal on September 8, 2007, 2:02 pm
 
dissatisfied.

text -

Nope was the original poster using the outside air. Nick still cannot
grasp the inherent flaw with using evaporative cooling on return air.


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