Heat Transfer Engineering

2.8. One-dimensional, steady state heat conduction with heat generation

2.8.1. Plane wall with heat generation

Consider the plane wall, shown in Fig. 2.22 with a uniform volumetric heat generation, given by q_v W/m³ with Dirichlet boundary condition at x = ±L. Such a situation arises in nuclear fuel rods or when chemical reactions (exothermic) take place in a medium.

Figure 2.21 Schematic representation of a cross-sectional view of the composite sphere under consideration in Example 2.5.

We apply the following simplifying assumptions

1. 1. One dimensional conduction
2. 2. Steady state
3. 3. Constant properties

The governing equation for the problem under ...