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re: condensation on a/c ducts.
1 aug 2005
stretch  wrote:

>the formula for the outside surface temp of a duct is:
>
>t(surface)= oat-(oat-iat)*osf/(isf+di+osf)

>t(surface) is the outside surface temperature of the duct
>oat is the outside air temperature...
>iat is the inside air temperature...
>osf is the outside surface film (r-factor)... about 1.67 for shiny new duct
>isf is the inside surface film (r-factor... about r-0.2
>di is the duct insulation r-factor, (about r-8 for your ducts)

oat = 90 f and iat = 40 f makes

t(surface) = 90-(90-40)*1.67/(0.2+8+1.67) = 81.54 f...

like this, viewed in a fixed font:

                t(surface)
                   |
       isf   di    |  osf
iat ---www---www------www--- oat

     <---------------------
                i

heatflow i = (oat-iat)/(isf+di+osf) = (90-40)/(0.2+8+1.67) = 5.066 btu/h,
and t(surface) = oat-i*osf = 90-5.066x1.67 = 81.54 f.

wrapping it all with r19 fiberglass insulation and poly film duct might 
decrease i to 1.732 and raise t(surface) to 90-0.67x1.963 = 88.87, while 
reducing the rate of condensation (if any) and saving energy. exposing
ducts to more attic air  ~~~wastes~~~   energy.

                           t(surface)
                              |
       0.2    8    1.67  19   |   0.67
40  ---www---www---www---www------www--- 90

     <---------------------------------

  i = (90-40)/(0.2+8+1.67+19+0.67) = 1.693 btu/h

>the dew point of the attic air will be the same as for the outdoor air,
>which you can get from the weather man or a sling psychrometer.

or td = (460+oat)/(1+(460+oat)ln(rh/100)/9621)-460. for instance, 90 f air
with rh = 50% has td = 550/(1+550ln(0.5)/9621)-460 = 69 f.

nick




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