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ABSTRACT
The steady one-dimensional heat transfer problem illustrated in Figure 8.1 consists of heat diffusion (i.e., heat conduction) along a constant-area rod with heat convection to the surroundings. The ends of the rod are maintained at the constant temperatures T1 and T2• An energy balance on a differential element of the rod, presented in Section II.6, yields the following second-order boundary-value ordinary differential equation (ODE):
(8.1)
where T is the temperature of the rod (C), (J.2 = hP/kA (cm-2) (where h, P, k, and A are defined in Section Il.6), and Ta is the ambient (i.e., surroundings) temperature (C).
