Chapters 2 and 3 discussed the analytical and numerical solution of one-dimensional (1-D), steady-state problems. These are problems in which the temperature within the material is independent of time and varies in only one spatial dimension (e.g., x). Examples of such problems are the plane wall studied in Section 2.2, which is truly a 1-D problem, and the extended surface problems in Chapter 3 that are only approximately 1-D. The governing differential equation for these problems is an ordinary differential equation (ODE) and the mathematics required to solve the problem are straightforward.
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