ABSTRACT

In this chapter, we revisit the time-dependent heating and cooling problems introduced in Chapter 9. These resulted in ODEs that we now solve using standard analytic methods. Given such analytic solutions, we can answer some general questions about the problems. We also consider some extensions of time-dependent heat transport, without conduction, in two case studies: a model describing house temperatures and a model for predicting the spontaneous combustion of fish and chip crumble.