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   rec.arts.sf.written      Discussion of written science fiction an      448,027 messages   

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   Message 447,284 of 448,027   
   Thomas Koenig to Paul S Person   
   Re: xkcd: Truly Universal Outlet   
   12 Jan 26 22:03:16   
   
   XPost: rec.arts.comics.strips   
   From: tkoenig@netcologne.de   
      
   Paul S Person  schrieb:   
   > On Sun, 11 Jan 2026 17:23:03 -0500 (EST), kludge@panix.com (Scott   
   > Dorsey) wrote:   
   >   
   >>Thomas Koenig   wrote:   
   >>>   
   >>>What is R-20 and R-30?  Another kind of liberty unit? :-)   
   >>   
   >>Yes, it's a measure of thermal resistance.  Ironically, it appeared in the   
   >>US at a time when we were actively moving toward the metric system, back   
   >>in the seventies.   
   >>   
   >>Nobody outside of construction folks actually use it.  It was never mentioned   
   >>in my thermo class.  I saw how it was calculated and it was kind of a mess.   
   >   
   > Can I take it that actually measuring the effect with various   
   > materials is not how its done?   
      
   If I understand it correctly, the R - value is the inverse of   
   the U-value (which I am more familiar with).   
      
   If you have a temperatre difference across a wall (or something   
   similar) there will be a heat flux across it.  The heat flux is   
   given as power per area, so it has the dimension of W/m^2 K.   
   q = Q/A, where q is the heat flux, Q the heat and A the area.   
      
   For a solid wall, the temperature difference ΔT will be proportional   
   to the heat flux.  This can be expressed in two ways:   
      
   q = U * ΔT or q = ΔT/R  (if that it what it is), where U has   
   the unit of power per area and temperature, dimension W/(m^2 K)   
   (in liberty units probably BTU/(ft^2 deg F) or something like that.   
   High U values mean high heat conduction.   
      
   How do you calculate U?  In a simple case, a homogenous wall made   
   of a simple isotropic  a wall with thickness L will have   
   U = λ / L, where λ is the thermal conductivity of your material,   
   which is a property you can look up.  Metals have high thermal   
   conductivity, isolation is specially designed for low thermal   
   conductivity.  Air has very low thermal conductivity, but if left   
   to circulate, can transport a large amount of heat; therefore many   
   insulating materials (including clothing) basically keep air from   
   moving.  (During an internship in the US, I actually once   
   looked up a thermal conductivity which was given as BTU per square   
   foot for a temperature gradient of one degree Fahrenheit per inch -   
   not even internally consistent.  I returned the book and politely   
   asked for SI units).   
      
   If you look at walls made up of layers different materials, the   
   U value is the sum of the reciprocals of the individual walls.   
   It's not called U any more, but the formula then is   
      
    U = 1/(L_1/λ_1 + L_2/λ_2 + ... + L_n/λ_n)   
      
   So, if you know the design of your wall and the individual values   
   of λ for your materials, you can calculate U.  If you're using   
   R (which seems to be the inverse), the formula is easier, you   
   just add them up.   
      
   >   
   > (eg: closed room, various panels, heat/cold source on the outside,   
   > thermometers on the walls/windows inside and out at the same height)   
   >   
   > The /real/ question is: how is the thermal efficiency claimed for a   
   > given oil furnace computed? Does someone just pull it out of his *ss   
   > or is it something Marketing comes up with? Particularly measure   
   > claiming to take into account the existing ducts.   
      
   You can determine that pretty well from measurements of flue   
   gas composition and temperature.   
      
   >   
   > Note that the thermal efficiency of a radiant electric heater is,   
   > IIRC, 100%. I once explored this a little bit to try and figure out   
   > the relative economics, but got lost in the details. Also note that   
   > the current push against oil furnaces, at least up here, is based on   
   > air pollution, not inefficiency or inadequacy.   
      
   If the heating oil has low sulfur content and the nitrous oxide   
   values are controlled, that should not be a problem.  Here, there   
   are mandatory annual measurements by a chimney sweep to control   
   CO and NOx.   
      
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    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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