next up previous
Next: Heating a House Up: Properties of Solids Previous: Thermal Expansion

Thermal Conduction

The rate of thermal conduction through matter is proportional to the thermal gradient:
equation179
(This formula was misprinted in a previous lecture. The time derivative of Q was ommitted) The constant of proportionality, tex2html_wrap_inline265 is called the thermal conductivity and is a materials parameter. We previously discussed thermal conduction as a means of heat flow.

The thermal resistance is characteristic not only of the material but also of the geometry involved, specifically the total length which supports the temperature difference.
equation186
The thermal resistance is large for thick matter with low thermal conductivity. In terms of the thermal resistance we can calculate the rate of heat flow from
equation190
I want to draw your attention to the important formulae for calculating the effective thermal resistance for serial and parallel combinations of thermal resistors. To exercise the formulae we solve problems which give examples of both a series and a parallel connection of thermal resistors.





Collin Broholm
Mon Dec 8 11:41:49 EST 1997