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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 (), 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
 
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