ABSTRACT

This chapter is concerned with modelling processes that involve heat conduction. We concentrate on formulating differential equations for the heat and temperature of systems, and emphasise the difference between them. In the absence of heat conduction, we use the inputoutput principle, or the balance law introduced in Chapter 2, to determine the heat content of the object we are modelling. When conduction is involved, we also apply this input-output of heat energy, but to an arbitrarily thin section. The analytic solutions for these models are derived in the subsequent Chapters 10 and 11.