The actual calculation of the power necessary for obtaining a non-freezing surface is complicated and depends on a lot of variables. To simplify the projection of heating systems, the table of recommended areal power density for the most common surface compositions can be used.
Table of recommended areal density | |
Outdoor surface | power [W/m2] |
Surfaces cooled only from above: | |
concrete surface | 250 … 280 |
flooring up to 3cm laid on a layer of glue | 250 … 280 |
flooring up to 4cm laid into powdery materials | 280 … 310 |
stone, lock flooring of 4 to 8cm laid into powdery materials | 300 … 330 |
asphalt of 2 to 4cm, HC placed in a concrete foundation layer | 290 … 330 |
asphalt of 3 to 8cm, HC placed into an asphalt layer | 300 … 350 |
Surfaces cooled from both above and underneath: | 300 … 400 |
The power density was determined based on the the assumption of laying the heating cable in a depth of 3 to 6cm under the surface. In lock flooring 2cm under the surface. A general applies, that the closer to the surface we install the heating cables, the higher will the efficiency of the heating system be.
Calculation example:
Calculation of the necessary output for obtaining a non-freezing temperature of the surface:
where
k – coefficient of increasing dynamics in heating system, we mostly choose ca. 1.8
Qpovr – heat transfer through boundary layer air – upper surface,
Qnad – heat loss of layers above the heating cables,
Qpod – heat loss in the concrete below the heating cables,
Qspod – heat transfer through bottom layer - subbase.
Other quantities needed for the calculation of the partial values:
tvenk – minimal outside temperature above the ramp, e.g. -30°C,
tžád – required temperature on the ramp surface, typically 3°C,
tkab – is the minimal temperature around heating cable (6.5°C),
α – coefficient of heat transfer between air and upper surface, for concrete 1.18
λ – coefficient of heat transmission, for concrete 0.75 W/mK,
dnad – thickness of concrete layer above the heating cable.