### For steady-state heat transfer in a solid fuel element, the energy equation reduces to [ frac{d^{2} T}{d x^{2}}=-frac{dot{q}^{prime prime prime}}{k_{f}} ] where ( k_{f} ) is the thermal conductivity of the fuel and ( q^{prime prime prime} ) is the volumetric heat source that is constant over the entire thin fuel element. Figure 1: Schematic of

For steady-state heat transfer in a solid fuel element, the energy equation reduces to [ frac{d^{2} T}{d x^{2}}=-frac{dot{q}^{prime prime prime}}{k_{f}} ] where ( k_{f} ) is the thermal conductivity of the fuel and ( q^{prime prime prime} ) is the volumetric heat source that is constant over the entire thin fuel element. Figure 1: Schematic of