Diminishing effect of insulation thickness or R-value

Diminishing effect of insulation thickness
or R-value

Does it mean that when we double the insulation thickness, we would have reduced the heat transfer by half? How thick should the insulation be? Before we look into the diminishing effect of insulation thickness, we need to understand the key concept behind heat transfer.

Heat transfer is given by this formula below
heat transfer formula U=AT
where

Q is the heat transfer in W
U is the heat transfer coefficient in W/(m²K)
A is the area in m²
T is the temperature difference in Kelvin

and we also know that
u-value and r-value relationship
R is the thermal resistance in (m²K)/W

therefore
r-value formula
and R-value is a function of thickness by the formula below
L is the thickness of the material in metres and
λ is the thermal conductivity in W/mK.
Using hypothetical figures below Area = 100m²

Temperature difference = 15K and above mentioned formula for heat transfer, we are able to calculate heat transfer at different R-value as tabulated in the table below
heat transfer sample
Insulation thickness with R-value above 4 (m²K)/W, gives very little additional return on your investment, more so for ductwork insulations at R3 at max. I don’t see the R-value stated in the BCA/ NCC be increased in the near future.

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