
TRSYS20 manual v2301 14/39
Λ = 1/R = Φ/(Tsurface, indoor – Tsurface, outdoor) (Formula 2.2.2.1)
The thermal resistance R of an old insulated wall is of the order of 2.5 K/(W/m2), a
modern insulated wall may attain 6.7 K/(W/m2).
The thermal transmittance U is a measure how effective a material is as an insulator. The
lower the U value, the less heat is lost and the more insulation the material provides. U-
value includes an ambient air boundary thermal layer at the inside and outside of the
wall. When measuring the thermal transmittance:
U = 1/RT= Φ/(Tambient, indoor – Tambient, outdoor) (Formula 2.2.2.2)
The U-value (or alternatively RT) includes Rambient, indoor and Rambient, outdoor, a thermal
boundary layer of air plus radiative transport resistance.
RT= R + Rambient, indoor + Rambient, outdoor (Formula 2.2.2.3)
Formula 2.2.2.4 shows a typical assumption for non-ventilated walls for 2 surfaces:
Rambient = Rambient, indoor + Rambient, outdoor = 0.25 K/(W/m2) (Formula 2.2.2.4)
The convective transport of heat from the wall to the ambient air, Φ, is a function of the
heat transfer coefficient, hc, and the temperature difference between ambient air and
sensor.
Φ= hc∙ ( Tambient – Tobject ) = ( Tambient – Tobject )/Rambient (Formula 2.2.2.5)
In buildings under indoor conditions we expect wind speeds of < 1 m/s. Indoor
environments such as office spaces will typically have wind speeds < 0.5 m/s. Outdoors,
wind speeds may reach 15 m/s under normal conditions, and up to 60 m/s in case of
heavy storm.
An approximation of the heat transfer coefficient at a single surface at moderate ambient
air speeds, v, and taking 5 W/(m2·K) for the radiative transfer coefficient, is given by:
h = hr+ hc= 5 W/(m2·K) + 4 J/(m3·K) ∙ v (Formula 2.2.2.6)
According to ISO 9869, A.3.1, a common value for the heat transfer coefficient by
convection, hc, for a single surface is 3.0 W/(m2·K); in the equation above this would
represent a wind speed of 0.75 m/s. The total heat transfer coefficient h for one surface
then is 8 W/(m2·K). For two surfaces Rambient then becomes 0.25 K/(W/m2) according to
formula 2.2.2.4.
The radiative heat transfer coefficient of 5 W/(m2·K) follows from the Stefan–Boltzmann
law, linearised around 20 °C.
In this standard the heat flux sensor name is heat flowmeter (HFM). Installation is
described in ISO 9869 paragraph 6.1.2. The user should verify the representativeness of
the area with a thermal camera. The installation should not be in the vicinity of potential
sources of error such as thermal bridges, cracks, heating or cooling devices and fans.
Sensors should not be exposed to rain, snow, and direct solar radiation. The standard
recommends use of thermal paste. Hukseflux discourages the use of thermal paste