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Thermal Physics

Conduction

This is the way energy moves through solids. Energy can be conducted through solids by two mechanisms.

  i) Lattice vibrations. When the nucleus of one atom vibrates, energy is passed on to nearby nuclei
  ii) The motion of free electrons. This is the reason that metals are good

The rate of flow of energy (DQ/Dt) through a solid depends on

  i) the temperature difference (DT) causing the heat to flow
  ii) the length () of the piece of solid
  iii) the cross-sectional area (A) of the piece of solid
  iv) the material.

Experiments show that

DQ/Dt is directly proportional to DT

DQ/Dt is directly proportional to A

DQ/Dt is inversely proportional to

Combining these results gives

where k is a constant for a given material, called the thermal conductivity of the material. The quantity DT/ is called the temperature gradient.

The units of k are Wm-1°C-1.

 

© David Hoult 2008