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Solar heating a corn crib

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Posted by nicksanspam on February 21, 2007, 7:52 am
 
Michelle writes from Traverse City, MI:


What protects the bales from rain? You might put Typar between the bales
and the bamboo and polyethylene film between the bales and the mesh.

NREL says 490 Btu/ft^2 of sun (not much) falls on a south wall on
an average 25.4 F December day with a 31.2 max temp and
an average 28.3 daytime temp in Traverse City.


Good insulation... US R50 or so.


... 6' seems low. Would this be a 12' diam x 12' high cylinder
with 339 ft^2 of exterior 2nd floor surface and a 339ft^2/R50
= 6.8 Btu/h-F thermal conductance to outdoors?


With 96 ft^2 of $2/ft^2 U0.58 Therma Glas Plus twinwall polycarbonate
thermosyphoning solar siding (eg 2 4x12' vertical sheets) with 80% solar
transmission over the south wall and 3/4" of water under the ceiling,
the second level could average about 100 F over an average December day.
It might cool to 38 F after 5 cloudy days in a row:

10 PI=4*ATN(1)
20 TA%.4'24-hour average Dec temp (F)
30 TM1.2'average daily max temp (F)
40 TDAY=(TA+TM)/2'average daytime temp (F)
50 SSUNI0'sun on south wall (Btu/ft^2-day)
60 LDAY=6'solar collection time (hours per day)
70 ASID–'solar siding area (ft^2)
80 TSID=.8'siding solar transmission fraction
90 USID=.58'siding U-value
100 TSUN=TDAY+SSUN*TSID/LDAY/USID'Thevenin sun temp (F)
110 GSUN=ASID*USID'siding conductance (Btu/h-F)
120 GCRIB=6.8'2nd floor crib conductance (Btu/h-F)
130 AC=PI*(12/2)^2'ceiling area (ft^2)
140 GC=1.5*AC'ceiling air-water conductance
150 DW=.75'ceiling water depth (inches)
160 CC=DW/12*62.33*AC'ceiling capacitance (Btu/F)
170 TC=TDAY+(TSUN-TDAY)/(1/GSUN+1/GCRIB)/GCRIB'ceiling charging temp (F)
180 RC=1/GC+1/(GSUN+GCRIB)'ceiling charging resistance (Btu/h-F)
190 RCC=RC*CC'charge time constant (hours)
200 RCD=(1/GC+1/GCRIB)*CC'discharge time constant (hours)
210 NUM=TC+(TA-TC)*EXP(-6/RCC)-TA*EXP(-6/RCC)*EXP(-18/RCD)
220 DEN=1-EXP(-6/RCC)*EXP(-18/RCD)
230 TDC=NUM/DEN'day ceiling temp (F)
240 TDA=TDC+(TC-TDC)/RC/GC'day air temp (F)
250 TNC=TA+(TDC-TA)*EXP(-18/RCD)'night ceiling temp (F)
260 GNC=4*1.714E-09*(TNC+460)^3*AC'night radiation conductance
270 TNA=TA+(TNC-TA)/(1/GNC+1/GCRIB)/GCRIB'night air temp (F)
280 PRINT TDC,TDA,TNC,TNA
290 T5C=TA+(TDC-TA)*EXP(-5*24/RCD)'5-day ceiling temp (F)
300 G5C=4*1.714E-09*(T5C+460)^3*AC'5-day radiation conductance
310 T5A=TA+(T5C-TA)/(1/G5C+1/GCRIB)/GCRIB'5-day air temp (F)
320 PRINT T5C,T5A

               average December day
     dusk                        dawn
ceiling        air          ceiling        air
106.6096       112.5513     87.57344       84.42088 F

after 5 cloudy 12.8 F days...

ceiling       air
39.08537      38.18356 F


You might heat this building with animals and compost,
using a condensing air-air heat exchanger...


... and heat this from below, as in the corn crib. You might cover
an icosahedron made from 25 20' steel pipes with chicken wire, then
newspaper, then welded-wire fence, then an inch or two or concrete,
then a hairnet of old tires tied together with dacron rope and filled
with peat moss, then whitewashed polyethyelene film, then more tires.
How big would it be? How many tires?


Wood is work, with particulate pollution. Better to bury the wood
in plastic bags, for less atmospheric CO2.

Nick


Posted by nicksanspam on February 21, 2007, 4:39 pm
 

10 PI=4*ATN(1)'icoscalc
20 L 'strut length (feet)
30 HWALL=L*COS(PI/6)'wall height (feet)
40 ATRI=HWALL*L/2'triangle area (ft^2)
50 ACOVER*ATRI'cover area (ft^2)
60 OD=2*L/2/SIN(2*PI/10)'OD on ground (feet)
70 ID=2*OD/2*COS(2*PI/10)'ID on ground
80 PRINT L,ID,OD
90 HATTIC=SQR(L^2-(OD/2)^2)'attic height (feet)
100 HEIGHT=HWALL+HATTIC'total height (feet)
110 PRINT HWALL,HATTIC,HEIGHT
120 AFLOOR=5*ID/2*L/2'floor area (ft^2)
130 ATOTAL=3*AFLOOR'total floor area (ft^2)
140 PRINT AFLOOR,ATOTAL,ATRI
150 DTIRE=2'tire diam (feet)
160 ATIRE=PI*(DTIRE/2)^2'tire area (ft^2)
170 NTIRES=2*ACOVER/ATIRE/1.09'number of tires
180 PRINT ACOVER,DTIRE,NTIRES

20            27.52764      34.02603
17.32051      10.51463      27.83513
688.191       2064.573      173.2051
2598.076      2             1517.419

PA taxes tires destined for landfills, so tire stores
give $1/tire to people who take them away :-)

Nick


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