Fourier's law
The simplified version of the Fourier's Law gives a relationship
between the thermal power P
( W ) which crosses the plate, the temperature difference
between the hot face Th
and the cold face Tc
( in Kelvin K or Celsius degree °C , it doesn't
matter as we will consider temperature differences ), the surface
A
( m² ), and the thickness L
( m ).

This law postulates that the thermal power is proportional to the
temperature difference Th-
Tc , to the surface area A,
and inversely proportional to the thickness L
. The proportionality factor is called thermal conductivity
k
and is thus measured in W/(m K); it generally varies
with temperature and location, but for what we are concerned these
variations are very weak and we will consider thermal conductivity
as a constant. It follows :
The following table presents the values of
thermal conductivity for the most used materials, at ambient temperature
:
Material |
Thermal conductivity in
W/(m K) |
Pure diamond |
2000 |
Pure silver |
427 |
Pure copper |
399 |
Pure aluminum |
236 |
Brass |
111 |
Pure iron |
81 |
Pure tin |
64 |
Lead |
35 |
Bronze |
26 |
Water |
0.6 |
PVC |
0.15 |
Air |
0.027 |
|