Heat flow in composite rods - an old problem reconsidered
arXiv:1006.2167
Abstract
The interface temperature of two rods with equal cross section joined at one end and with different initial temperatures, initially always acquires the value characteristic for two semi-infinite rods. This value, which is shown to be a consequence of energy conservation is, in general, different from the thermal equilibrium temperature in finite rods. To illustrate this result, two particular cases are discussed.
10 pages, 4 figures