Heat Conduction

Heat conduction is described by Fourier's law

\(\dot{Q}=\kappa \frac{dT}{dx}\)

We assumes to heat baths at temperature T1 and T2, connected by a heat conductor with cross section area A and separated by the length L.

The heat conducted from the hotter to the colder bath is given by

\(P=\frac{A}{L}\left(\Theta_1-\Theta_2\right)\)

where \(\Theta\) is a material property given by the integral of the heat conductivity coefficient \(\kappa\)

\(\Theta_1(T_1)=\int_0^{T_1}\kappa(T)\,dT\)

Material Data

Material Data