Article 61565 of alt.solar.photovoltaic:
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From: nicksanspam@ece.villanova.edu
Newsgroups: alt.solar.photovoltaic,alt.solar.thermal
Subject: Re: What color house?
Date: 27 May 2008 16:04:02 -0400
Organization: Villanova University
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Morris Dovey  <mrdovey@iedu.com> wrote:
>Vladimir Vladimirovich Nabokov wrote:
>
>> I assume a dark color will absorb the heat and awhite will reflect heat, so if
>> you live in the Midwest, what's a good compromise?
>> 
>> Pure white would seem perfect in the summer to keep out the solar heating, but
>> in the winter you would welcome the heat gain. Am I stuck with middle gray, or
>> is there an established scientific answer?
>
>The color or the paint is nowhere near as important as the insulation 
>inside the wall and the caulking around openings like doors and windows.
>
>There's a link below to photographs a white building (not a house) that 
>was kept comfortably warm through the winter by two vertical black solar 
>panels set into it's south wall.

What happened on cloudy days?

>I doubt the building would have been much better heated if it'd been
>painted black.

NREL says 930 Btu/ft^2 falls on a south wall in Des Moines on an average
24.4 F December day, so 1 ft^2 of white R20 south wall with a U2 airfilm
conductance would lose about 24h(65-24.4)1ft^2/(R20.5) = 47.5 Btu/day.

We could model a dark south wall like this, viewed in a fixed font: 

     930/24h = 38.75 Btu/h
            ---              20
  |--------|-->|------------www--- 65 F
            ---       |
                      |
            1/2       |
  24.4 -----www------- 

which is equivalent to:
     
            1/2              20
   ---------www-------------www--- 65 F
  |                               
  |  24.4+38.75/2 = 43.78 F                           
 ---                              
  -                     
  |                     
  -

with a heat loss of 24h(65-43.78)1ft^2/20.5 = 24.8 Btu/day.

With an 8'x48' wall, the difference is 8x48(47.5-24.8) = 8698 Btu/day.
If a single-glazed air heater gains 0.9x930 = 837 Btu/ft^2 and loses
6h(80-24.4)1ft^2/R1 = 334 on an average December day, for a net gain
of 503, the dark wall is equivalent to 8698/503 = 17 ft^2 of air heater.

Nick                       




