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The R-value is the measure of the resistance of a material to heat
flow (or heat gain) by conduction only. The k-value is the measure
of thermal conductivity; it measures the rate of heat transfer by
conduction through a material from face to face.
The R-value is always the reciprocal of the k-value. For instance, R
= L/k and k = L/R where,
R = thermal resistance,
L = thickness,
k = thermal conductivity;
R-19 means 19 hr ft2 ˚F / Btu or 3.34 m2 ˚C/W.
ASTEC's thermal conductivity (k-value) is very low (0.00345 W/m °K
or 0.00199 Btu/h ft °F). A very low k-value indicates a good
conductive insulator. But the R-value depends on thickness and
the
thickness (L) of ASTEC is so small that the resistance (R-value) is
not given serious consideration. What really counts in
preventing
heat transfer is solar reflectivity. R-value (resistance) is only
valid when "managing" heat which has already transferred.
To compare ASTEC's thermal resistance (R-value) to the thermal
resistance of polystyrene or of fiberglass, is to compare materials
acting on different heat transfer modes (radiation vs. conduction).
There is no common ground between radiation and conduction except
the calculation of the end results (actual heat transfer) in terms
of W/m2 or Btu/hr/ft2.
The reflectivity and emissivity of most roof surfaces is extremely
low (less than 0.20) when compared with ASTEC's high solar
reflectivity (p-value: 0.85) and thermal emissivity (ε-value: 0.9).
Therefore, to avoid heat transfer, the best way is to reflect
radiant heat (stop the heat from coming in the roof to begin with)
and to quickly emit any radiation that is absorbed. In dealing with
radiation, thickness has no useful value and R-values or k-values
are not useful anymore. High reflectivity and emissivity become
important.
If, on the other hand, you don't effectively deal with heat transfer
by radiation, you will then be stuck and forced to deal with heat
transfer by conduction once heat penetrates the roof; then, R-value
which is directly proportional to thickness, becomes an important
factor.
The comparison of a structure with ASTEC's roofing system
purely on
the basis of conduction factors (thickness, k-value, density, heat
resistance) is counter-productive. Such a comparison does not do
justice to the end-users.
In conclusion, there is no acceptable direct comparison between the
prevention of heat transfer by radiation and the subsequent
management of heat transfer by conduction. A better alternative may
be to determine when a total system like
ASTEC is superior to mass
insulation and when both systems may be complementary.
If the roof heat transfers are the only valid points of comparison,
let's look at three types of roofs with the ASTEC system and
without
the ASTEC system on a clear, summer, noon-time condition with:
1) No insulation;
2) One (1") inch (2.5 cm) of mass insulation; and
3) One (1") inch (2.5 cm) of mass insulation and gypsum board
covering.
|
Roof Types |
Heat Transfer Comparison |
|
|
Uncoated |
ASTEC Coating |
|
|
Metal Only |
112.5 BTU/hr ft2 |
32.2BTU/hr ft2 |
|
Metal/1" Mass Insulation |
38.4 BTU/hr ft2 |
10BTU/hr ft2 |
|
Metal/Mass Insul/Gypsum |
36.4 BTU/hr ft2 |
10BTU/hr ft2 |
Thus, ASTEC reduces the roof heat transfer by more than 70% over the
uncoated roof for all three roof types.