The best governing equations for the steady state and cooling in a cyl
indrical aluminium bar have been determined with precision. As a first
stage, a single exponential law was not found to be a good approximat
ion for a direct calculation of the surface conductance coefficient, c
ontrary to what had previously been found for iron. A more general the
ory to explain the dependence of the surface conductance coefficient o
n time position, and temperature could be based, in principle, on the
use of the hypergeometric series. It would probably need a great deal
of experimental data from several solids, both good and poor conductor
s.