View Single Post
  #29   Report Post  
Posted to alt.home.repair,alt.solar.thermal,alt.energy.homepower,sci.engr.heat-vent-ac
Solar Flare Solar Flare is offline
external usenet poster
 
Posts: 11
Default US R-values of radiant barriers

http://www.naturalspacesdomes.com/li...estresults.htm


"Jeff" wrote in message
k.net...
wrote:
News wrote:


Actis claim the equivalent of 210mm of Rockwool. I believe they do
have an effect on cooling when pinned to the rafters of a roof.
What is the overall claim for rockwool equivalent thickness for
heating by tests in the US?



The second edition (1998) of Pitts & Sissom's Schaum's Outline on
Heat
Transfer gives k = 0.023 Btu-ft/h-F-ft^2, ie 0.276 Btu-in-h/F-ft^2,
ie
US R3.62 per inch, at a rock wool density of 10 lb/ft^3.
No one is going to type in Nicks program, they read the makers
blurb,
or test results to confirm the blurb.



No need to type much. Just save it in a file, remove the headers,
and run it.
Or look at the on-line RIMA Handbook and use a calculator, which
takes about
5 minutes.
I have the impression much of any heat saving is because this stuff
is
air-tight.



That's assumed to begin with, but foil helps. For instance, the
RIMA Handbook
says a horizontal foil with E2 and E3 = 0.03 and 3" airspaces 1 and
2 above
and below the foil with E1 and E4 = 0.8 boundaries and downward
heatflow and 110 F above and 80 below has E = 0.0298 for both
airspaces and an overall
dT = 110-80 = 30 F. Assuming the foil is 80+dT/2 = 95 F, the mean
temp in
airspace 1 is Tm1 = (110+95)/2 = 102.5 F, and Tm2 = (95+80)/2 =
87.5. From
Table 4 on page 25 of the Handbook, hc = 0.075 for both airspaces.
Equation 3
on page 22 says hr1 and hr2 = 0.00686((Tm+459.7))/100)^3 = 1.219
and 1.124.
Equation 1 says R1 = 1/(Ehr1+hc) = 8.98 and R2 = 9.22, so R = R1+R2
= 18.2,
and dT1 = 30x8.98/18.2 = 14.8 F and dT2 = 15.2. Close enough. We
could
iterate if needed, using these new dTs to find new Tms.


More the draught prevention is making the difference rather than
the reflective qualities of the material itself.



No. If we replace the foil above with another E2 = E3 = 0.8 opaque
surface,
then E = 0.8 vs 0.0298 for both airspaces, so R1 = 0.952 and R2 =
1.026 and
the overall R = 1.98 vs 18.2, ie 9 TIMES less. If we replace the
foil with
IR-transparent polyethylene film, the difference is even greater,
even though
there's still draught prevention. OTOH, if we add more foils or
move the foil
up so there's only one airspace, that doesn't help much in this
case, given
the same overall airspace dimension.

Rock wool would only add 3.62x6" = US R13.13 vs 18.2, using a lot
more stuff.



From The Passive Solar Energy Handbook, Edward Mazria 1979 we have
this in Appendix E.6 Resistance values of airspaces

Horizontal, Heatflow Down
NR=Non Reflective

Thickness | Season | NR/NR | NR/Aluminum Coated | NR/Foil
3/4 W 1.02 2.39 3.55
1 1/2 W 1.14 3.21 5.74
4 W 1.23 4.02 8.94
3/4 S 0.84 2.08 3.25
1 1/2 S 0.93 2.76 5.24
4 S 0.99 3.38 8.03


Obviously that's all from observations.

What strikes me for my application at hand, insulating under staple
up radiant, is that 8.94 for a single radiant barrier. It sure makes
foil double bubble look good.

Jeff



Until something more concrete in realistic more real world testing
the jury
is still out...



Au contraire. This has been settled science for over 50 years :-)
See

Robinson and F.J. Powell, "The Thermal Insulating Value of
Airspaces,"
Housing Research Paper No. 32, National Bureau of Standards Project
NE-12,
National Bureau of Standards, Washington DC (1954), and Yarbrough,
"Assessments of Reflective Insulation for Residential and
Commercial Applications," Oak Ridge National Laboratory Report
ORNL/TM 8819,
Oak Ridge, TN (1983), and Yarbrough, "Estimation of the Thermal
Resistance of a Series of Reflective
Air Spaces Bounded by Parallel Low Emittance Surfaces," Proceedings
of
the Conference on Fire Safety and Thermal Insulation, S.A.
Siddiqui,
Editor (1990) pp 214-231, and

Yarbrough, "Thermal Resistance of a Air Ducts with Bubblepack
Reflective
Insulation," Journal of Thermal Insulation 15 137-151, (1991).

Nick